repo_name
stringclasses
1 value
pr_number
int64
4.12k
11.2k
pr_title
stringlengths
9
107
pr_description
stringlengths
107
5.48k
author
stringlengths
4
18
date_created
unknown
date_merged
unknown
previous_commit
stringlengths
40
40
pr_commit
stringlengths
40
40
query
stringlengths
118
5.52k
before_content
stringlengths
0
7.93M
after_content
stringlengths
0
7.93M
label
int64
-1
1
TheAlgorithms/Python
4,278
fix(mypy): Fix annotations for 13 cipher algorithms
Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
dhruvmanila
"2021-03-20T09:09:15Z"
"2021-03-22T06:59:51Z"
99a42f2b5821356718fb7d011ac711a6b4a63a83
14bcb580d55ee90614ad258ea31ef8fe4e4b5c40
fix(mypy): Fix annotations for 13 cipher algorithms. Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
-1
TheAlgorithms/Python
4,278
fix(mypy): Fix annotations for 13 cipher algorithms
Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
dhruvmanila
"2021-03-20T09:09:15Z"
"2021-03-22T06:59:51Z"
99a42f2b5821356718fb7d011ac711a6b4a63a83
14bcb580d55ee90614ad258ea31ef8fe4e4b5c40
fix(mypy): Fix annotations for 13 cipher algorithms. Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
#!/usr/bin/python """Author Anurag Kumar | [email protected] | git/anuragkumarak95 Simple example of Fractal generation using recursive function. What is Sierpinski Triangle? >>The Sierpinski triangle (also with the original orthography Sierpinski), also called the Sierpinski gasket or the Sierpinski Sieve, is a fractal and attractive fixed set with the overall shape of an equilateral triangle, subdivided recursively into smaller equilateral triangles. Originally constructed as a curve, this is one of the basic examples of self-similar sets, i.e., it is a mathematically generated pattern that can be reproducible at any magnification or reduction. It is named after the Polish mathematician Wacław Sierpinski, but appeared as a decorative pattern many centuries prior to the work of Sierpinski. Requirements(pip): - turtle Python: - 2.6 Usage: - $python sierpinski_triangle.py <int:depth_for_fractal> Credits: This code was written by editing the code from http://www.riannetrujillo.com/blog/python-fractal/ """ import sys import turtle PROGNAME = "Sierpinski Triangle" points = [[-175, -125], [0, 175], [175, -125]] # size of triangle def getMid(p1, p2): return ((p1[0] + p2[0]) / 2, (p1[1] + p2[1]) / 2) # find midpoint def triangle(points, depth): myPen.up() myPen.goto(points[0][0], points[0][1]) myPen.down() myPen.goto(points[1][0], points[1][1]) myPen.goto(points[2][0], points[2][1]) myPen.goto(points[0][0], points[0][1]) if depth > 0: triangle( [points[0], getMid(points[0], points[1]), getMid(points[0], points[2])], depth - 1, ) triangle( [points[1], getMid(points[0], points[1]), getMid(points[1], points[2])], depth - 1, ) triangle( [points[2], getMid(points[2], points[1]), getMid(points[0], points[2])], depth - 1, ) if __name__ == "__main__": if len(sys.argv) != 2: raise ValueError( "right format for using this script: " "$python fractals.py <int:depth_for_fractal>" ) myPen = turtle.Turtle() myPen.ht() myPen.speed(5) myPen.pencolor("red") triangle(points, int(sys.argv[1]))
#!/usr/bin/python """Author Anurag Kumar | [email protected] | git/anuragkumarak95 Simple example of Fractal generation using recursive function. What is Sierpinski Triangle? >>The Sierpinski triangle (also with the original orthography Sierpinski), also called the Sierpinski gasket or the Sierpinski Sieve, is a fractal and attractive fixed set with the overall shape of an equilateral triangle, subdivided recursively into smaller equilateral triangles. Originally constructed as a curve, this is one of the basic examples of self-similar sets, i.e., it is a mathematically generated pattern that can be reproducible at any magnification or reduction. It is named after the Polish mathematician Wacław Sierpinski, but appeared as a decorative pattern many centuries prior to the work of Sierpinski. Requirements(pip): - turtle Python: - 2.6 Usage: - $python sierpinski_triangle.py <int:depth_for_fractal> Credits: This code was written by editing the code from http://www.riannetrujillo.com/blog/python-fractal/ """ import sys import turtle PROGNAME = "Sierpinski Triangle" points = [[-175, -125], [0, 175], [175, -125]] # size of triangle def getMid(p1, p2): return ((p1[0] + p2[0]) / 2, (p1[1] + p2[1]) / 2) # find midpoint def triangle(points, depth): myPen.up() myPen.goto(points[0][0], points[0][1]) myPen.down() myPen.goto(points[1][0], points[1][1]) myPen.goto(points[2][0], points[2][1]) myPen.goto(points[0][0], points[0][1]) if depth > 0: triangle( [points[0], getMid(points[0], points[1]), getMid(points[0], points[2])], depth - 1, ) triangle( [points[1], getMid(points[0], points[1]), getMid(points[1], points[2])], depth - 1, ) triangle( [points[2], getMid(points[2], points[1]), getMid(points[0], points[2])], depth - 1, ) if __name__ == "__main__": if len(sys.argv) != 2: raise ValueError( "right format for using this script: " "$python fractals.py <int:depth_for_fractal>" ) myPen = turtle.Turtle() myPen.ht() myPen.speed(5) myPen.pencolor("red") triangle(points, int(sys.argv[1]))
-1
TheAlgorithms/Python
4,278
fix(mypy): Fix annotations for 13 cipher algorithms
Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
dhruvmanila
"2021-03-20T09:09:15Z"
"2021-03-22T06:59:51Z"
99a42f2b5821356718fb7d011ac711a6b4a63a83
14bcb580d55ee90614ad258ea31ef8fe4e4b5c40
fix(mypy): Fix annotations for 13 cipher algorithms. Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
""" Perceptron w = w + N * (d(k) - y) * x(k) Using perceptron network for oil analysis, with Measuring of 3 parameters that represent chemical characteristics we can classify the oil, in p1 or p2 p1 = -1 p2 = 1 """ import random class Perceptron: def __init__(self, sample, target, learning_rate=0.01, epoch_number=1000, bias=-1): """ Initializes a Perceptron network for oil analysis :param sample: sample dataset of 3 parameters with shape [30,3] :param target: variable for classification with two possible states -1 or 1 :param learning_rate: learning rate used in optimizing. :param epoch_number: number of epochs to train network on. :param bias: bias value for the network. >>> p = Perceptron([], (0, 1, 2)) Traceback (most recent call last): ... ValueError: Sample data can not be empty >>> p = Perceptron(([0], 1, 2), []) Traceback (most recent call last): ... ValueError: Target data can not be empty >>> p = Perceptron(([0], 1, 2), (0, 1)) Traceback (most recent call last): ... ValueError: Sample data and Target data do not have matching lengths """ self.sample = sample if len(self.sample) == 0: raise ValueError("Sample data can not be empty") self.target = target if len(self.target) == 0: raise ValueError("Target data can not be empty") if len(self.sample) != len(self.target): raise ValueError("Sample data and Target data do not have matching lengths") self.learning_rate = learning_rate self.epoch_number = epoch_number self.bias = bias self.number_sample = len(sample) self.col_sample = len(sample[0]) # number of columns in dataset self.weight = [] def training(self) -> None: """ Trains perceptron for epochs <= given number of epochs :return: None >>> data = [[2.0149, 0.6192, 10.9263]] >>> targets = [-1] >>> perceptron = Perceptron(data,targets) >>> perceptron.training() # doctest: +ELLIPSIS ('\\nEpoch:\\n', ...) ... """ for sample in self.sample: sample.insert(0, self.bias) for i in range(self.col_sample): self.weight.append(random.random()) self.weight.insert(0, self.bias) epoch_count = 0 while True: has_misclassified = False for i in range(self.number_sample): u = 0 for j in range(self.col_sample + 1): u = u + self.weight[j] * self.sample[i][j] y = self.sign(u) if y != self.target[i]: for j in range(self.col_sample + 1): self.weight[j] = ( self.weight[j] + self.learning_rate * (self.target[i] - y) * self.sample[i][j] ) has_misclassified = True # print('Epoch: \n',epoch_count) epoch_count = epoch_count + 1 # if you want control the epoch or just by error if not has_misclassified: print(("\nEpoch:\n", epoch_count)) print("------------------------\n") # if epoch_count > self.epoch_number or not error: break def sort(self, sample) -> None: """ :param sample: example row to classify as P1 or P2 :return: None >>> data = [[2.0149, 0.6192, 10.9263]] >>> targets = [-1] >>> perceptron = Perceptron(data,targets) >>> perceptron.training() # doctest: +ELLIPSIS ('\\nEpoch:\\n', ...) ... >>> perceptron.sort([-0.6508, 0.1097, 4.0009]) # doctest: +ELLIPSIS ('Sample: ', ...) classification: P... """ if len(self.sample) == 0: raise ValueError("Sample data can not be empty") sample.insert(0, self.bias) u = 0 for i in range(self.col_sample + 1): u = u + self.weight[i] * sample[i] y = self.sign(u) if y == -1: print(("Sample: ", sample)) print("classification: P1") else: print(("Sample: ", sample)) print("classification: P2") def sign(self, u: float) -> int: """ threshold function for classification :param u: input number :return: 1 if the input is greater than 0, otherwise -1 >>> data = [[0],[-0.5],[0.5]] >>> targets = [1,-1,1] >>> perceptron = Perceptron(data,targets) >>> perceptron.sign(0) 1 >>> perceptron.sign(-0.5) -1 >>> perceptron.sign(0.5) 1 """ return 1 if u >= 0 else -1 samples = [ [-0.6508, 0.1097, 4.0009], [-1.4492, 0.8896, 4.4005], [2.0850, 0.6876, 12.0710], [0.2626, 1.1476, 7.7985], [0.6418, 1.0234, 7.0427], [0.2569, 0.6730, 8.3265], [1.1155, 0.6043, 7.4446], [0.0914, 0.3399, 7.0677], [0.0121, 0.5256, 4.6316], [-0.0429, 0.4660, 5.4323], [0.4340, 0.6870, 8.2287], [0.2735, 1.0287, 7.1934], [0.4839, 0.4851, 7.4850], [0.4089, -0.1267, 5.5019], [1.4391, 0.1614, 8.5843], [-0.9115, -0.1973, 2.1962], [0.3654, 1.0475, 7.4858], [0.2144, 0.7515, 7.1699], [0.2013, 1.0014, 6.5489], [0.6483, 0.2183, 5.8991], [-0.1147, 0.2242, 7.2435], [-0.7970, 0.8795, 3.8762], [-1.0625, 0.6366, 2.4707], [0.5307, 0.1285, 5.6883], [-1.2200, 0.7777, 1.7252], [0.3957, 0.1076, 5.6623], [-0.1013, 0.5989, 7.1812], [2.4482, 0.9455, 11.2095], [2.0149, 0.6192, 10.9263], [0.2012, 0.2611, 5.4631], ] exit = [ -1, -1, -1, 1, 1, -1, 1, -1, 1, 1, -1, 1, -1, -1, -1, -1, 1, 1, 1, 1, -1, 1, 1, 1, 1, -1, -1, 1, -1, 1, ] if __name__ == "__main__": import doctest doctest.testmod() network = Perceptron( sample=samples, target=exit, learning_rate=0.01, epoch_number=1000, bias=-1 ) network.training() print("Finished training perceptron") print("Enter values to predict or q to exit") while True: sample = [] for i in range(len(samples[0])): observation = input("value: ").strip() if observation == "q": break observation = float(observation) sample.insert(i, observation) network.sort(sample)
""" Perceptron w = w + N * (d(k) - y) * x(k) Using perceptron network for oil analysis, with Measuring of 3 parameters that represent chemical characteristics we can classify the oil, in p1 or p2 p1 = -1 p2 = 1 """ import random class Perceptron: def __init__(self, sample, target, learning_rate=0.01, epoch_number=1000, bias=-1): """ Initializes a Perceptron network for oil analysis :param sample: sample dataset of 3 parameters with shape [30,3] :param target: variable for classification with two possible states -1 or 1 :param learning_rate: learning rate used in optimizing. :param epoch_number: number of epochs to train network on. :param bias: bias value for the network. >>> p = Perceptron([], (0, 1, 2)) Traceback (most recent call last): ... ValueError: Sample data can not be empty >>> p = Perceptron(([0], 1, 2), []) Traceback (most recent call last): ... ValueError: Target data can not be empty >>> p = Perceptron(([0], 1, 2), (0, 1)) Traceback (most recent call last): ... ValueError: Sample data and Target data do not have matching lengths """ self.sample = sample if len(self.sample) == 0: raise ValueError("Sample data can not be empty") self.target = target if len(self.target) == 0: raise ValueError("Target data can not be empty") if len(self.sample) != len(self.target): raise ValueError("Sample data and Target data do not have matching lengths") self.learning_rate = learning_rate self.epoch_number = epoch_number self.bias = bias self.number_sample = len(sample) self.col_sample = len(sample[0]) # number of columns in dataset self.weight = [] def training(self) -> None: """ Trains perceptron for epochs <= given number of epochs :return: None >>> data = [[2.0149, 0.6192, 10.9263]] >>> targets = [-1] >>> perceptron = Perceptron(data,targets) >>> perceptron.training() # doctest: +ELLIPSIS ('\\nEpoch:\\n', ...) ... """ for sample in self.sample: sample.insert(0, self.bias) for i in range(self.col_sample): self.weight.append(random.random()) self.weight.insert(0, self.bias) epoch_count = 0 while True: has_misclassified = False for i in range(self.number_sample): u = 0 for j in range(self.col_sample + 1): u = u + self.weight[j] * self.sample[i][j] y = self.sign(u) if y != self.target[i]: for j in range(self.col_sample + 1): self.weight[j] = ( self.weight[j] + self.learning_rate * (self.target[i] - y) * self.sample[i][j] ) has_misclassified = True # print('Epoch: \n',epoch_count) epoch_count = epoch_count + 1 # if you want control the epoch or just by error if not has_misclassified: print(("\nEpoch:\n", epoch_count)) print("------------------------\n") # if epoch_count > self.epoch_number or not error: break def sort(self, sample) -> None: """ :param sample: example row to classify as P1 or P2 :return: None >>> data = [[2.0149, 0.6192, 10.9263]] >>> targets = [-1] >>> perceptron = Perceptron(data,targets) >>> perceptron.training() # doctest: +ELLIPSIS ('\\nEpoch:\\n', ...) ... >>> perceptron.sort([-0.6508, 0.1097, 4.0009]) # doctest: +ELLIPSIS ('Sample: ', ...) classification: P... """ if len(self.sample) == 0: raise ValueError("Sample data can not be empty") sample.insert(0, self.bias) u = 0 for i in range(self.col_sample + 1): u = u + self.weight[i] * sample[i] y = self.sign(u) if y == -1: print(("Sample: ", sample)) print("classification: P1") else: print(("Sample: ", sample)) print("classification: P2") def sign(self, u: float) -> int: """ threshold function for classification :param u: input number :return: 1 if the input is greater than 0, otherwise -1 >>> data = [[0],[-0.5],[0.5]] >>> targets = [1,-1,1] >>> perceptron = Perceptron(data,targets) >>> perceptron.sign(0) 1 >>> perceptron.sign(-0.5) -1 >>> perceptron.sign(0.5) 1 """ return 1 if u >= 0 else -1 samples = [ [-0.6508, 0.1097, 4.0009], [-1.4492, 0.8896, 4.4005], [2.0850, 0.6876, 12.0710], [0.2626, 1.1476, 7.7985], [0.6418, 1.0234, 7.0427], [0.2569, 0.6730, 8.3265], [1.1155, 0.6043, 7.4446], [0.0914, 0.3399, 7.0677], [0.0121, 0.5256, 4.6316], [-0.0429, 0.4660, 5.4323], [0.4340, 0.6870, 8.2287], [0.2735, 1.0287, 7.1934], [0.4839, 0.4851, 7.4850], [0.4089, -0.1267, 5.5019], [1.4391, 0.1614, 8.5843], [-0.9115, -0.1973, 2.1962], [0.3654, 1.0475, 7.4858], [0.2144, 0.7515, 7.1699], [0.2013, 1.0014, 6.5489], [0.6483, 0.2183, 5.8991], [-0.1147, 0.2242, 7.2435], [-0.7970, 0.8795, 3.8762], [-1.0625, 0.6366, 2.4707], [0.5307, 0.1285, 5.6883], [-1.2200, 0.7777, 1.7252], [0.3957, 0.1076, 5.6623], [-0.1013, 0.5989, 7.1812], [2.4482, 0.9455, 11.2095], [2.0149, 0.6192, 10.9263], [0.2012, 0.2611, 5.4631], ] exit = [ -1, -1, -1, 1, 1, -1, 1, -1, 1, 1, -1, 1, -1, -1, -1, -1, 1, 1, 1, 1, -1, 1, 1, 1, 1, -1, -1, 1, -1, 1, ] if __name__ == "__main__": import doctest doctest.testmod() network = Perceptron( sample=samples, target=exit, learning_rate=0.01, epoch_number=1000, bias=-1 ) network.training() print("Finished training perceptron") print("Enter values to predict or q to exit") while True: sample = [] for i in range(len(samples[0])): observation = input("value: ").strip() if observation == "q": break observation = float(observation) sample.insert(i, observation) network.sort(sample)
-1
TheAlgorithms/Python
4,278
fix(mypy): Fix annotations for 13 cipher algorithms
Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
dhruvmanila
"2021-03-20T09:09:15Z"
"2021-03-22T06:59:51Z"
99a42f2b5821356718fb7d011ac711a6b4a63a83
14bcb580d55ee90614ad258ea31ef8fe4e4b5c40
fix(mypy): Fix annotations for 13 cipher algorithms. Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
-1
TheAlgorithms/Python
4,278
fix(mypy): Fix annotations for 13 cipher algorithms
Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
dhruvmanila
"2021-03-20T09:09:15Z"
"2021-03-22T06:59:51Z"
99a42f2b5821356718fb7d011ac711a6b4a63a83
14bcb580d55ee90614ad258ea31ef8fe4e4b5c40
fix(mypy): Fix annotations for 13 cipher algorithms. Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
""" Project Euler 62 https://projecteuler.net/problem=62 The cube, 41063625 (345^3), can be permuted to produce two other cubes: 56623104 (384^3) and 66430125 (405^3). In fact, 41063625 is the smallest cube which has exactly three permutations of its digits which are also cube. Find the smallest cube for which exactly five permutations of its digits are cube. """ from collections import defaultdict def solution(max_base: int = 5) -> int: """ Iterate through every possible cube and sort the cube's digits in ascending order. Sorting maintains an ordering of the digits that allows you to compare permutations. Store each sorted sequence of digits in a dictionary, whose key is the sequence of digits and value is a list of numbers that are the base of the cube. Once you find 5 numbers that produce the same sequence of digits, return the smallest one, which is at index 0 since we insert each base number in ascending order. >>> solution(2) 125 >>> solution(3) 41063625 """ freqs = defaultdict(list) num = 0 while True: digits = get_digits(num) freqs[digits].append(num) if len(freqs[digits]) == max_base: base = freqs[digits][0] ** 3 return base num += 1 def get_digits(num: int) -> str: """ Computes the sorted sequence of digits of the cube of num. >>> get_digits(3) '27' >>> get_digits(99) '027999' >>> get_digits(123) '0166788' """ return "".join(sorted(list(str(num ** 3)))) if __name__ == "__main__": print(f"{solution() = }")
""" Project Euler 62 https://projecteuler.net/problem=62 The cube, 41063625 (345^3), can be permuted to produce two other cubes: 56623104 (384^3) and 66430125 (405^3). In fact, 41063625 is the smallest cube which has exactly three permutations of its digits which are also cube. Find the smallest cube for which exactly five permutations of its digits are cube. """ from collections import defaultdict def solution(max_base: int = 5) -> int: """ Iterate through every possible cube and sort the cube's digits in ascending order. Sorting maintains an ordering of the digits that allows you to compare permutations. Store each sorted sequence of digits in a dictionary, whose key is the sequence of digits and value is a list of numbers that are the base of the cube. Once you find 5 numbers that produce the same sequence of digits, return the smallest one, which is at index 0 since we insert each base number in ascending order. >>> solution(2) 125 >>> solution(3) 41063625 """ freqs = defaultdict(list) num = 0 while True: digits = get_digits(num) freqs[digits].append(num) if len(freqs[digits]) == max_base: base = freqs[digits][0] ** 3 return base num += 1 def get_digits(num: int) -> str: """ Computes the sorted sequence of digits of the cube of num. >>> get_digits(3) '27' >>> get_digits(99) '027999' >>> get_digits(123) '0166788' """ return "".join(sorted(list(str(num ** 3)))) if __name__ == "__main__": print(f"{solution() = }")
-1
TheAlgorithms/Python
4,278
fix(mypy): Fix annotations for 13 cipher algorithms
Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
dhruvmanila
"2021-03-20T09:09:15Z"
"2021-03-22T06:59:51Z"
99a42f2b5821356718fb7d011ac711a6b4a63a83
14bcb580d55ee90614ad258ea31ef8fe4e4b5c40
fix(mypy): Fix annotations for 13 cipher algorithms. Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
#
#
-1
TheAlgorithms/Python
4,278
fix(mypy): Fix annotations for 13 cipher algorithms
Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
dhruvmanila
"2021-03-20T09:09:15Z"
"2021-03-22T06:59:51Z"
99a42f2b5821356718fb7d011ac711a6b4a63a83
14bcb580d55ee90614ad258ea31ef8fe4e4b5c40
fix(mypy): Fix annotations for 13 cipher algorithms. Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
""" The function below will convert any binary string to the octal equivalent. >>> bin_to_octal("1111") '17' >>> bin_to_octal("101010101010011") '52523' >>> bin_to_octal("") Traceback (most recent call last): ... ValueError: Empty string was passed to the function >>> bin_to_octal("a-1") Traceback (most recent call last): ... ValueError: Non-binary value was passed to the function """ def bin_to_octal(bin_string: str) -> str: if not all(char in "01" for char in bin_string): raise ValueError("Non-binary value was passed to the function") if not bin_string: raise ValueError("Empty string was passed to the function") oct_string = "" while len(bin_string) % 3 != 0: bin_string = "0" + bin_string bin_string_in_3_list = [ bin_string[index : index + 3] for index, value in enumerate(bin_string) if index % 3 == 0 ] for bin_group in bin_string_in_3_list: oct_val = 0 for index, val in enumerate(bin_group): oct_val += int(2 ** (2 - index) * int(val)) oct_string += str(oct_val) return oct_string if __name__ == "__main__": from doctest import testmod testmod()
""" The function below will convert any binary string to the octal equivalent. >>> bin_to_octal("1111") '17' >>> bin_to_octal("101010101010011") '52523' >>> bin_to_octal("") Traceback (most recent call last): ... ValueError: Empty string was passed to the function >>> bin_to_octal("a-1") Traceback (most recent call last): ... ValueError: Non-binary value was passed to the function """ def bin_to_octal(bin_string: str) -> str: if not all(char in "01" for char in bin_string): raise ValueError("Non-binary value was passed to the function") if not bin_string: raise ValueError("Empty string was passed to the function") oct_string = "" while len(bin_string) % 3 != 0: bin_string = "0" + bin_string bin_string_in_3_list = [ bin_string[index : index + 3] for index, value in enumerate(bin_string) if index % 3 == 0 ] for bin_group in bin_string_in_3_list: oct_val = 0 for index, val in enumerate(bin_group): oct_val += int(2 ** (2 - index) * int(val)) oct_string += str(oct_val) return oct_string if __name__ == "__main__": from doctest import testmod testmod()
-1
TheAlgorithms/Python
4,278
fix(mypy): Fix annotations for 13 cipher algorithms
Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
dhruvmanila
"2021-03-20T09:09:15Z"
"2021-03-22T06:59:51Z"
99a42f2b5821356718fb7d011ac711a6b4a63a83
14bcb580d55ee90614ad258ea31ef8fe4e4b5c40
fix(mypy): Fix annotations for 13 cipher algorithms. Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
-1
TheAlgorithms/Python
4,278
fix(mypy): Fix annotations for 13 cipher algorithms
Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
dhruvmanila
"2021-03-20T09:09:15Z"
"2021-03-22T06:59:51Z"
99a42f2b5821356718fb7d011ac711a6b4a63a83
14bcb580d55ee90614ad258ea31ef8fe4e4b5c40
fix(mypy): Fix annotations for 13 cipher algorithms. Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
-1
TheAlgorithms/Python
4,278
fix(mypy): Fix annotations for 13 cipher algorithms
Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
dhruvmanila
"2021-03-20T09:09:15Z"
"2021-03-22T06:59:51Z"
99a42f2b5821356718fb7d011ac711a6b4a63a83
14bcb580d55ee90614ad258ea31ef8fe4e4b5c40
fix(mypy): Fix annotations for 13 cipher algorithms. Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
-1
TheAlgorithms/Python
4,278
fix(mypy): Fix annotations for 13 cipher algorithms
Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
dhruvmanila
"2021-03-20T09:09:15Z"
"2021-03-22T06:59:51Z"
99a42f2b5821356718fb7d011ac711a6b4a63a83
14bcb580d55ee90614ad258ea31ef8fe4e4b5c40
fix(mypy): Fix annotations for 13 cipher algorithms. Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
""" Author: https://github.com/bhushan-borole """ """ The input graph for the algorithm is: A B C A 0 1 1 B 0 0 1 C 1 0 0 """ graph = [[0, 1, 1], [0, 0, 1], [1, 0, 0]] class Node: def __init__(self, name): self.name = name self.inbound = [] self.outbound = [] def add_inbound(self, node): self.inbound.append(node) def add_outbound(self, node): self.outbound.append(node) def __repr__(self): return f"Node {self.name}: Inbound: {self.inbound} ; Outbound: {self.outbound}" def page_rank(nodes, limit=3, d=0.85): ranks = {} for node in nodes: ranks[node.name] = 1 outbounds = {} for node in nodes: outbounds[node.name] = len(node.outbound) for i in range(limit): print(f"======= Iteration {i + 1} =======") for j, node in enumerate(nodes): ranks[node.name] = (1 - d) + d * sum( [ranks[ib] / outbounds[ib] for ib in node.inbound] ) print(ranks) def main(): names = list(input("Enter Names of the Nodes: ").split()) nodes = [Node(name) for name in names] for ri, row in enumerate(graph): for ci, col in enumerate(row): if col == 1: nodes[ci].add_inbound(names[ri]) nodes[ri].add_outbound(names[ci]) print("======= Nodes =======") for node in nodes: print(node) page_rank(nodes) if __name__ == "__main__": main()
""" Author: https://github.com/bhushan-borole """ """ The input graph for the algorithm is: A B C A 0 1 1 B 0 0 1 C 1 0 0 """ graph = [[0, 1, 1], [0, 0, 1], [1, 0, 0]] class Node: def __init__(self, name): self.name = name self.inbound = [] self.outbound = [] def add_inbound(self, node): self.inbound.append(node) def add_outbound(self, node): self.outbound.append(node) def __repr__(self): return f"Node {self.name}: Inbound: {self.inbound} ; Outbound: {self.outbound}" def page_rank(nodes, limit=3, d=0.85): ranks = {} for node in nodes: ranks[node.name] = 1 outbounds = {} for node in nodes: outbounds[node.name] = len(node.outbound) for i in range(limit): print(f"======= Iteration {i + 1} =======") for j, node in enumerate(nodes): ranks[node.name] = (1 - d) + d * sum( [ranks[ib] / outbounds[ib] for ib in node.inbound] ) print(ranks) def main(): names = list(input("Enter Names of the Nodes: ").split()) nodes = [Node(name) for name in names] for ri, row in enumerate(graph): for ci, col in enumerate(row): if col == 1: nodes[ci].add_inbound(names[ri]) nodes[ri].add_outbound(names[ci]) print("======= Nodes =======") for node in nodes: print(node) page_rank(nodes) if __name__ == "__main__": main()
-1
TheAlgorithms/Python
4,278
fix(mypy): Fix annotations for 13 cipher algorithms
Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
dhruvmanila
"2021-03-20T09:09:15Z"
"2021-03-22T06:59:51Z"
99a42f2b5821356718fb7d011ac711a6b4a63a83
14bcb580d55ee90614ad258ea31ef8fe4e4b5c40
fix(mypy): Fix annotations for 13 cipher algorithms. Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
""" Champernowne's constant Problem 40 An irrational decimal fraction is created by concatenating the positive integers: 0.123456789101112131415161718192021... It can be seen that the 12th digit of the fractional part is 1. If dn represents the nth digit of the fractional part, find the value of the following expression. d1 × d10 × d100 × d1000 × d10000 × d100000 × d1000000 """ def solution(): """Returns >>> solution() 210 """ constant = [] i = 1 while len(constant) < 1e6: constant.append(str(i)) i += 1 constant = "".join(constant) return ( int(constant[0]) * int(constant[9]) * int(constant[99]) * int(constant[999]) * int(constant[9999]) * int(constant[99999]) * int(constant[999999]) ) if __name__ == "__main__": print(solution())
""" Champernowne's constant Problem 40 An irrational decimal fraction is created by concatenating the positive integers: 0.123456789101112131415161718192021... It can be seen that the 12th digit of the fractional part is 1. If dn represents the nth digit of the fractional part, find the value of the following expression. d1 × d10 × d100 × d1000 × d10000 × d100000 × d1000000 """ def solution(): """Returns >>> solution() 210 """ constant = [] i = 1 while len(constant) < 1e6: constant.append(str(i)) i += 1 constant = "".join(constant) return ( int(constant[0]) * int(constant[9]) * int(constant[99]) * int(constant[999]) * int(constant[9999]) * int(constant[99999]) * int(constant[999999]) ) if __name__ == "__main__": print(solution())
-1
TheAlgorithms/Python
4,278
fix(mypy): Fix annotations for 13 cipher algorithms
Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
dhruvmanila
"2021-03-20T09:09:15Z"
"2021-03-22T06:59:51Z"
99a42f2b5821356718fb7d011ac711a6b4a63a83
14bcb580d55ee90614ad258ea31ef8fe4e4b5c40
fix(mypy): Fix annotations for 13 cipher algorithms. Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
""" Prize Strings Problem 191 A particular school offers cash rewards to children with good attendance and punctuality. If they are absent for three consecutive days or late on more than one occasion then they forfeit their prize. During an n-day period a trinary string is formed for each child consisting of L's (late), O's (on time), and A's (absent). Although there are eighty-one trinary strings for a 4-day period that can be formed, exactly forty-three strings would lead to a prize: OOOO OOOA OOOL OOAO OOAA OOAL OOLO OOLA OAOO OAOA OAOL OAAO OAAL OALO OALA OLOO OLOA OLAO OLAA AOOO AOOA AOOL AOAO AOAA AOAL AOLO AOLA AAOO AAOA AAOL AALO AALA ALOO ALOA ALAO ALAA LOOO LOOA LOAO LOAA LAOO LAOA LAAO How many "prize" strings exist over a 30-day period? References: - The original Project Euler project page: https://projecteuler.net/problem=191 """ cache = {} def _calculate(days: int, absent: int, late: int) -> int: """ A small helper function for the recursion, mainly to have a clean interface for the solution() function below. It should get called with the number of days (corresponding to the desired length of the 'prize strings'), and the initial values for the number of consecutive absent days and number of total late days. >>> _calculate(days=4, absent=0, late=0) 43 >>> _calculate(days=30, absent=2, late=0) 0 >>> _calculate(days=30, absent=1, late=0) 98950096 """ # if we are absent twice, or late 3 consecutive days, # no further prize strings are possible if late == 3 or absent == 2: return 0 # if we have no days left, and have not failed any other rules, # we have a prize string if days == 0: return 1 # No easy solution, so now we need to do the recursive calculation # First, check if the combination is already in the cache, and # if yes, return the stored value from there since we already # know the number of possible prize strings from this point on key = (days, absent, late) if key in cache: return cache[key] # now we calculate the three possible ways that can unfold from # this point on, depending on our attendance today # 1) if we are late (but not absent), the "absent" counter stays as # it is, but the "late" counter increases by one state_late = _calculate(days - 1, absent, late + 1) # 2) if we are absent, the "absent" counter increases by 1, and the # "late" counter resets to 0 state_absent = _calculate(days - 1, absent + 1, 0) # 3) if we are on time, this resets the "late" counter and keeps the # absent counter state_ontime = _calculate(days - 1, absent, 0) prizestrings = state_late + state_absent + state_ontime cache[key] = prizestrings return prizestrings def solution(days: int = 30) -> int: """ Returns the number of possible prize strings for a particular number of days, using a simple recursive function with caching to speed it up. >>> solution() 1918080160 >>> solution(4) 43 """ return _calculate(days, absent=0, late=0) if __name__ == "__main__": print(solution())
""" Prize Strings Problem 191 A particular school offers cash rewards to children with good attendance and punctuality. If they are absent for three consecutive days or late on more than one occasion then they forfeit their prize. During an n-day period a trinary string is formed for each child consisting of L's (late), O's (on time), and A's (absent). Although there are eighty-one trinary strings for a 4-day period that can be formed, exactly forty-three strings would lead to a prize: OOOO OOOA OOOL OOAO OOAA OOAL OOLO OOLA OAOO OAOA OAOL OAAO OAAL OALO OALA OLOO OLOA OLAO OLAA AOOO AOOA AOOL AOAO AOAA AOAL AOLO AOLA AAOO AAOA AAOL AALO AALA ALOO ALOA ALAO ALAA LOOO LOOA LOAO LOAA LAOO LAOA LAAO How many "prize" strings exist over a 30-day period? References: - The original Project Euler project page: https://projecteuler.net/problem=191 """ cache = {} def _calculate(days: int, absent: int, late: int) -> int: """ A small helper function for the recursion, mainly to have a clean interface for the solution() function below. It should get called with the number of days (corresponding to the desired length of the 'prize strings'), and the initial values for the number of consecutive absent days and number of total late days. >>> _calculate(days=4, absent=0, late=0) 43 >>> _calculate(days=30, absent=2, late=0) 0 >>> _calculate(days=30, absent=1, late=0) 98950096 """ # if we are absent twice, or late 3 consecutive days, # no further prize strings are possible if late == 3 or absent == 2: return 0 # if we have no days left, and have not failed any other rules, # we have a prize string if days == 0: return 1 # No easy solution, so now we need to do the recursive calculation # First, check if the combination is already in the cache, and # if yes, return the stored value from there since we already # know the number of possible prize strings from this point on key = (days, absent, late) if key in cache: return cache[key] # now we calculate the three possible ways that can unfold from # this point on, depending on our attendance today # 1) if we are late (but not absent), the "absent" counter stays as # it is, but the "late" counter increases by one state_late = _calculate(days - 1, absent, late + 1) # 2) if we are absent, the "absent" counter increases by 1, and the # "late" counter resets to 0 state_absent = _calculate(days - 1, absent + 1, 0) # 3) if we are on time, this resets the "late" counter and keeps the # absent counter state_ontime = _calculate(days - 1, absent, 0) prizestrings = state_late + state_absent + state_ontime cache[key] = prizestrings return prizestrings def solution(days: int = 30) -> int: """ Returns the number of possible prize strings for a particular number of days, using a simple recursive function with caching to speed it up. >>> solution() 1918080160 >>> solution(4) 43 """ return _calculate(days, absent=0, late=0) if __name__ == "__main__": print(solution())
-1
TheAlgorithms/Python
4,278
fix(mypy): Fix annotations for 13 cipher algorithms
Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
dhruvmanila
"2021-03-20T09:09:15Z"
"2021-03-22T06:59:51Z"
99a42f2b5821356718fb7d011ac711a6b4a63a83
14bcb580d55ee90614ad258ea31ef8fe4e4b5c40
fix(mypy): Fix annotations for 13 cipher algorithms. Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
""" This is pure Python implementation of comb sort algorithm. Comb sort is a relatively simple sorting algorithm originally designed by Wlodzimierz Dobosiewicz in 1980. It was rediscovered by Stephen Lacey and Richard Box in 1991. Comb sort improves on bubble sort algorithm. In bubble sort, distance (or gap) between two compared elements is always one. Comb sort improvement is that gap can be much more than 1, in order to prevent slowing down by small values at the end of a list. More info on: https://en.wikipedia.org/wiki/Comb_sort For doctests run following command: python -m doctest -v comb_sort.py or python3 -m doctest -v comb_sort.py For manual testing run: python comb_sort.py """ def comb_sort(data: list) -> list: """Pure implementation of comb sort algorithm in Python :param data: mutable collection with comparable items :return: the same collection in ascending order Examples: >>> comb_sort([0, 5, 3, 2, 2]) [0, 2, 2, 3, 5] >>> comb_sort([]) [] >>> comb_sort([99, 45, -7, 8, 2, 0, -15, 3]) [-15, -7, 0, 2, 3, 8, 45, 99] """ shrink_factor = 1.3 gap = len(data) completed = False while not completed: # Update the gap value for a next comb gap = int(gap / shrink_factor) if gap <= 1: completed = True index = 0 while index + gap < len(data): if data[index] > data[index + gap]: # Swap values data[index], data[index + gap] = data[index + gap], data[index] completed = False index += 1 return data if __name__ == "__main__": import doctest doctest.testmod() user_input = input("Enter numbers separated by a comma:\n").strip() unsorted = [int(item) for item in user_input.split(",")] print(comb_sort(unsorted))
""" This is pure Python implementation of comb sort algorithm. Comb sort is a relatively simple sorting algorithm originally designed by Wlodzimierz Dobosiewicz in 1980. It was rediscovered by Stephen Lacey and Richard Box in 1991. Comb sort improves on bubble sort algorithm. In bubble sort, distance (or gap) between two compared elements is always one. Comb sort improvement is that gap can be much more than 1, in order to prevent slowing down by small values at the end of a list. More info on: https://en.wikipedia.org/wiki/Comb_sort For doctests run following command: python -m doctest -v comb_sort.py or python3 -m doctest -v comb_sort.py For manual testing run: python comb_sort.py """ def comb_sort(data: list) -> list: """Pure implementation of comb sort algorithm in Python :param data: mutable collection with comparable items :return: the same collection in ascending order Examples: >>> comb_sort([0, 5, 3, 2, 2]) [0, 2, 2, 3, 5] >>> comb_sort([]) [] >>> comb_sort([99, 45, -7, 8, 2, 0, -15, 3]) [-15, -7, 0, 2, 3, 8, 45, 99] """ shrink_factor = 1.3 gap = len(data) completed = False while not completed: # Update the gap value for a next comb gap = int(gap / shrink_factor) if gap <= 1: completed = True index = 0 while index + gap < len(data): if data[index] > data[index + gap]: # Swap values data[index], data[index + gap] = data[index + gap], data[index] completed = False index += 1 return data if __name__ == "__main__": import doctest doctest.testmod() user_input = input("Enter numbers separated by a comma:\n").strip() unsorted = [int(item) for item in user_input.split(",")] print(comb_sort(unsorted))
-1
TheAlgorithms/Python
4,278
fix(mypy): Fix annotations for 13 cipher algorithms
Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
dhruvmanila
"2021-03-20T09:09:15Z"
"2021-03-22T06:59:51Z"
99a42f2b5821356718fb7d011ac711a6b4a63a83
14bcb580d55ee90614ad258ea31ef8fe4e4b5c40
fix(mypy): Fix annotations for 13 cipher algorithms. Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
""" Project Euler Problem 2: https://projecteuler.net/problem=2 Even Fibonacci Numbers Each new term in the Fibonacci sequence is generated by adding the previous two terms. By starting with 1 and 2, the first 10 terms will be: 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, ... By considering the terms in the Fibonacci sequence whose values do not exceed four million, find the sum of the even-valued terms. References: - https://en.wikipedia.org/wiki/Fibonacci_number """ def solution(n: int = 4000000) -> int: """ Returns the sum of all even fibonacci sequence elements that are lower or equal to n. >>> solution(10) 10 >>> solution(15) 10 >>> solution(2) 2 >>> solution(1) 0 >>> solution(34) 44 """ i = 1 j = 2 total = 0 while j <= n: if j % 2 == 0: total += j i, j = j, i + j return total if __name__ == "__main__": print(f"{solution() = }")
""" Project Euler Problem 2: https://projecteuler.net/problem=2 Even Fibonacci Numbers Each new term in the Fibonacci sequence is generated by adding the previous two terms. By starting with 1 and 2, the first 10 terms will be: 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, ... By considering the terms in the Fibonacci sequence whose values do not exceed four million, find the sum of the even-valued terms. References: - https://en.wikipedia.org/wiki/Fibonacci_number """ def solution(n: int = 4000000) -> int: """ Returns the sum of all even fibonacci sequence elements that are lower or equal to n. >>> solution(10) 10 >>> solution(15) 10 >>> solution(2) 2 >>> solution(1) 0 >>> solution(34) 44 """ i = 1 j = 2 total = 0 while j <= n: if j % 2 == 0: total += j i, j = j, i + j return total if __name__ == "__main__": print(f"{solution() = }")
-1
TheAlgorithms/Python
4,278
fix(mypy): Fix annotations for 13 cipher algorithms
Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
dhruvmanila
"2021-03-20T09:09:15Z"
"2021-03-22T06:59:51Z"
99a42f2b5821356718fb7d011ac711a6b4a63a83
14bcb580d55ee90614ad258ea31ef8fe4e4b5c40
fix(mypy): Fix annotations for 13 cipher algorithms. Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
""" https://cp-algorithms.com/string/z-function.html Z-function or Z algorithm Efficient algorithm for pattern occurrence in a string Time Complexity: O(n) - where n is the length of the string """ def z_function(input_str: str) -> list: """ For the given string this function computes value for each index, which represents the maximal length substring starting from the index and is the same as the prefix of the same size e.x. for string 'abab' for second index value would be 2 For the value of the first element the algorithm always returns 0 >>> z_function("abracadabra") [0, 0, 0, 1, 0, 1, 0, 4, 0, 0, 1] >>> z_function("aaaa") [0, 3, 2, 1] >>> z_function("zxxzxxz") [0, 0, 0, 4, 0, 0, 1] """ z_result = [0] * len(input_str) # initialize interval's left pointer and right pointer left_pointer, right_pointer = 0, 0 for i in range(1, len(input_str)): # case when current index is inside the interval if i <= right_pointer: min_edge = min(right_pointer - i + 1, z_result[i - left_pointer]) z_result[i] = min_edge while go_next(i, z_result, input_str): z_result[i] += 1 # if new index's result gives us more right interval, # we've to update left_pointer and right_pointer if i + z_result[i] - 1 > right_pointer: left_pointer, right_pointer = i, i + z_result[i] - 1 return z_result def go_next(i, z_result, s): """ Check if we have to move forward to the next characters or not """ return i + z_result[i] < len(s) and s[z_result[i]] == s[i + z_result[i]] def find_pattern(pattern: str, input_str: str) -> int: """ Example of using z-function for pattern occurrence Given function returns the number of times 'pattern' appears in 'input_str' as a substring >>> find_pattern("abr", "abracadabra") 2 >>> find_pattern("a", "aaaa") 4 >>> find_pattern("xz", "zxxzxxz") 2 """ answer = 0 # concatenate 'pattern' and 'input_str' and call z_function # with concatenated string z_result = z_function(pattern + input_str) for val in z_result: # if value is greater then length of the pattern string # that means this index is starting position of substring # which is equal to pattern string if val >= len(pattern): answer += 1 return answer if __name__ == "__main__": import doctest doctest.testmod()
""" https://cp-algorithms.com/string/z-function.html Z-function or Z algorithm Efficient algorithm for pattern occurrence in a string Time Complexity: O(n) - where n is the length of the string """ def z_function(input_str: str) -> list: """ For the given string this function computes value for each index, which represents the maximal length substring starting from the index and is the same as the prefix of the same size e.x. for string 'abab' for second index value would be 2 For the value of the first element the algorithm always returns 0 >>> z_function("abracadabra") [0, 0, 0, 1, 0, 1, 0, 4, 0, 0, 1] >>> z_function("aaaa") [0, 3, 2, 1] >>> z_function("zxxzxxz") [0, 0, 0, 4, 0, 0, 1] """ z_result = [0] * len(input_str) # initialize interval's left pointer and right pointer left_pointer, right_pointer = 0, 0 for i in range(1, len(input_str)): # case when current index is inside the interval if i <= right_pointer: min_edge = min(right_pointer - i + 1, z_result[i - left_pointer]) z_result[i] = min_edge while go_next(i, z_result, input_str): z_result[i] += 1 # if new index's result gives us more right interval, # we've to update left_pointer and right_pointer if i + z_result[i] - 1 > right_pointer: left_pointer, right_pointer = i, i + z_result[i] - 1 return z_result def go_next(i, z_result, s): """ Check if we have to move forward to the next characters or not """ return i + z_result[i] < len(s) and s[z_result[i]] == s[i + z_result[i]] def find_pattern(pattern: str, input_str: str) -> int: """ Example of using z-function for pattern occurrence Given function returns the number of times 'pattern' appears in 'input_str' as a substring >>> find_pattern("abr", "abracadabra") 2 >>> find_pattern("a", "aaaa") 4 >>> find_pattern("xz", "zxxzxxz") 2 """ answer = 0 # concatenate 'pattern' and 'input_str' and call z_function # with concatenated string z_result = z_function(pattern + input_str) for val in z_result: # if value is greater then length of the pattern string # that means this index is starting position of substring # which is equal to pattern string if val >= len(pattern): answer += 1 return answer if __name__ == "__main__": import doctest doctest.testmod()
-1
TheAlgorithms/Python
4,278
fix(mypy): Fix annotations for 13 cipher algorithms
Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
dhruvmanila
"2021-03-20T09:09:15Z"
"2021-03-22T06:59:51Z"
99a42f2b5821356718fb7d011ac711a6b4a63a83
14bcb580d55ee90614ad258ea31ef8fe4e4b5c40
fix(mypy): Fix annotations for 13 cipher algorithms. Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
""" Problem 46: https://projecteuler.net/problem=46 It was proposed by Christian Goldbach that every odd composite number can be written as the sum of a prime and twice a square. 9 = 7 + 2 × 12 15 = 7 + 2 × 22 21 = 3 + 2 × 32 25 = 7 + 2 × 32 27 = 19 + 2 × 22 33 = 31 + 2 × 12 It turns out that the conjecture was false. What is the smallest odd composite that cannot be written as the sum of a prime and twice a square? """ from __future__ import annotations seive = [True] * 100001 i = 2 while i * i <= 100000: if seive[i]: for j in range(i * i, 100001, i): seive[j] = False i += 1 def is_prime(n: int) -> bool: """ Returns True if n is prime, False otherwise, for 2 <= n <= 100000 >>> is_prime(87) False >>> is_prime(23) True >>> is_prime(25363) False """ return seive[n] odd_composites = [num for num in range(3, len(seive), 2) if not is_prime(num)] def compute_nums(n: int) -> list[int]: """ Returns a list of first n odd composite numbers which do not follow the conjecture. >>> compute_nums(1) [5777] >>> compute_nums(2) [5777, 5993] >>> compute_nums(0) Traceback (most recent call last): ... ValueError: n must be >= 0 >>> compute_nums("a") Traceback (most recent call last): ... ValueError: n must be an integer >>> compute_nums(1.1) Traceback (most recent call last): ... ValueError: n must be an integer """ if not isinstance(n, int): raise ValueError("n must be an integer") if n <= 0: raise ValueError("n must be >= 0") list_nums = [] for num in range(len(odd_composites)): i = 0 while 2 * i * i <= odd_composites[num]: rem = odd_composites[num] - 2 * i * i if is_prime(rem): break i += 1 else: list_nums.append(odd_composites[num]) if len(list_nums) == n: return list_nums def solution() -> int: """Return the solution to the problem""" return compute_nums(1)[0] if __name__ == "__main__": print(f"{solution() = }")
""" Problem 46: https://projecteuler.net/problem=46 It was proposed by Christian Goldbach that every odd composite number can be written as the sum of a prime and twice a square. 9 = 7 + 2 × 12 15 = 7 + 2 × 22 21 = 3 + 2 × 32 25 = 7 + 2 × 32 27 = 19 + 2 × 22 33 = 31 + 2 × 12 It turns out that the conjecture was false. What is the smallest odd composite that cannot be written as the sum of a prime and twice a square? """ from __future__ import annotations seive = [True] * 100001 i = 2 while i * i <= 100000: if seive[i]: for j in range(i * i, 100001, i): seive[j] = False i += 1 def is_prime(n: int) -> bool: """ Returns True if n is prime, False otherwise, for 2 <= n <= 100000 >>> is_prime(87) False >>> is_prime(23) True >>> is_prime(25363) False """ return seive[n] odd_composites = [num for num in range(3, len(seive), 2) if not is_prime(num)] def compute_nums(n: int) -> list[int]: """ Returns a list of first n odd composite numbers which do not follow the conjecture. >>> compute_nums(1) [5777] >>> compute_nums(2) [5777, 5993] >>> compute_nums(0) Traceback (most recent call last): ... ValueError: n must be >= 0 >>> compute_nums("a") Traceback (most recent call last): ... ValueError: n must be an integer >>> compute_nums(1.1) Traceback (most recent call last): ... ValueError: n must be an integer """ if not isinstance(n, int): raise ValueError("n must be an integer") if n <= 0: raise ValueError("n must be >= 0") list_nums = [] for num in range(len(odd_composites)): i = 0 while 2 * i * i <= odd_composites[num]: rem = odd_composites[num] - 2 * i * i if is_prime(rem): break i += 1 else: list_nums.append(odd_composites[num]) if len(list_nums) == n: return list_nums def solution() -> int: """Return the solution to the problem""" return compute_nums(1)[0] if __name__ == "__main__": print(f"{solution() = }")
-1
TheAlgorithms/Python
4,278
fix(mypy): Fix annotations for 13 cipher algorithms
Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
dhruvmanila
"2021-03-20T09:09:15Z"
"2021-03-22T06:59:51Z"
99a42f2b5821356718fb7d011ac711a6b4a63a83
14bcb580d55ee90614ad258ea31ef8fe4e4b5c40
fix(mypy): Fix annotations for 13 cipher algorithms. Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
"""README, Author - Anurag Kumar(mailto:[email protected]) Requirements: - sklearn - numpy - matplotlib Python: - 3.5 Inputs: - X , a 2D numpy array of features. - k , number of clusters to create. - initial_centroids , initial centroid values generated by utility function(mentioned in usage). - maxiter , maximum number of iterations to process. - heterogeneity , empty list that will be filled with hetrogeneity values if passed to kmeans func. Usage: 1. define 'k' value, 'X' features array and 'hetrogeneity' empty list 2. create initial_centroids, initial_centroids = get_initial_centroids( X, k, seed=0 # seed value for initial centroid generation, # None for randomness(default=None) ) 3. find centroids and clusters using kmeans function. centroids, cluster_assignment = kmeans( X, k, initial_centroids, maxiter=400, record_heterogeneity=heterogeneity, verbose=True # whether to print logs in console or not.(default=False) ) 4. Plot the loss function, hetrogeneity values for every iteration saved in hetrogeneity list. plot_heterogeneity( heterogeneity, k ) 5. Transfers Dataframe into excel format it must have feature called 'Clust' with k means clustering numbers in it. """ import warnings import numpy as np import pandas as pd from matplotlib import pyplot as plt from sklearn.metrics import pairwise_distances warnings.filterwarnings("ignore") TAG = "K-MEANS-CLUST/ " def get_initial_centroids(data, k, seed=None): """Randomly choose k data points as initial centroids""" if seed is not None: # useful for obtaining consistent results np.random.seed(seed) n = data.shape[0] # number of data points # Pick K indices from range [0, N). rand_indices = np.random.randint(0, n, k) # Keep centroids as dense format, as many entries will be nonzero due to averaging. # As long as at least one document in a cluster contains a word, # it will carry a nonzero weight in the TF-IDF vector of the centroid. centroids = data[rand_indices, :] return centroids def centroid_pairwise_dist(X, centroids): return pairwise_distances(X, centroids, metric="euclidean") def assign_clusters(data, centroids): # Compute distances between each data point and the set of centroids: # Fill in the blank (RHS only) distances_from_centroids = centroid_pairwise_dist(data, centroids) # Compute cluster assignments for each data point: # Fill in the blank (RHS only) cluster_assignment = np.argmin(distances_from_centroids, axis=1) return cluster_assignment def revise_centroids(data, k, cluster_assignment): new_centroids = [] for i in range(k): # Select all data points that belong to cluster i. Fill in the blank (RHS only) member_data_points = data[cluster_assignment == i] # Compute the mean of the data points. Fill in the blank (RHS only) centroid = member_data_points.mean(axis=0) new_centroids.append(centroid) new_centroids = np.array(new_centroids) return new_centroids def compute_heterogeneity(data, k, centroids, cluster_assignment): heterogeneity = 0.0 for i in range(k): # Select all data points that belong to cluster i. Fill in the blank (RHS only) member_data_points = data[cluster_assignment == i, :] if member_data_points.shape[0] > 0: # check if i-th cluster is non-empty # Compute distances from centroid to data points (RHS only) distances = pairwise_distances( member_data_points, [centroids[i]], metric="euclidean" ) squared_distances = distances ** 2 heterogeneity += np.sum(squared_distances) return heterogeneity def plot_heterogeneity(heterogeneity, k): plt.figure(figsize=(7, 4)) plt.plot(heterogeneity, linewidth=4) plt.xlabel("# Iterations") plt.ylabel("Heterogeneity") plt.title(f"Heterogeneity of clustering over time, K={k:d}") plt.rcParams.update({"font.size": 16}) plt.show() def kmeans( data, k, initial_centroids, maxiter=500, record_heterogeneity=None, verbose=False ): """This function runs k-means on given data and initial set of centroids. maxiter: maximum number of iterations to run.(default=500) record_heterogeneity: (optional) a list, to store the history of heterogeneity as function of iterations if None, do not store the history. verbose: if True, print how many data points changed their cluster labels in each iteration""" centroids = initial_centroids[:] prev_cluster_assignment = None for itr in range(maxiter): if verbose: print(itr, end="") # 1. Make cluster assignments using nearest centroids cluster_assignment = assign_clusters(data, centroids) # 2. Compute a new centroid for each of the k clusters, averaging all data # points assigned to that cluster. centroids = revise_centroids(data, k, cluster_assignment) # Check for convergence: if none of the assignments changed, stop if ( prev_cluster_assignment is not None and (prev_cluster_assignment == cluster_assignment).all() ): break # Print number of new assignments if prev_cluster_assignment is not None: num_changed = np.sum(prev_cluster_assignment != cluster_assignment) if verbose: print( " {:5d} elements changed their cluster assignment.".format( num_changed ) ) # Record heterogeneity convergence metric if record_heterogeneity is not None: # YOUR CODE HERE score = compute_heterogeneity(data, k, centroids, cluster_assignment) record_heterogeneity.append(score) prev_cluster_assignment = cluster_assignment[:] return centroids, cluster_assignment # Mock test below if False: # change to true to run this test case. from sklearn import datasets as ds dataset = ds.load_iris() k = 3 heterogeneity = [] initial_centroids = get_initial_centroids(dataset["data"], k, seed=0) centroids, cluster_assignment = kmeans( dataset["data"], k, initial_centroids, maxiter=400, record_heterogeneity=heterogeneity, verbose=True, ) plot_heterogeneity(heterogeneity, k) def ReportGenerator( df: pd.DataFrame, ClusteringVariables: np.array, FillMissingReport=None ) -> pd.DataFrame: """ Function generates easy-erading clustering report. It takes 2 arguments as an input: DataFrame - dataframe with predicted cluester column; FillMissingReport - dictionary of rules how we are going to fill missing values of for final report generate (not included in modeling); in order to run the function following libraries must be imported: import pandas as pd import numpy as np >>> data = pd.DataFrame() >>> data['numbers'] = [1, 2, 3] >>> data['col1'] = [0.5, 2.5, 4.5] >>> data['col2'] = [100, 200, 300] >>> data['col3'] = [10, 20, 30] >>> data['Cluster'] = [1, 1, 2] >>> ReportGenerator(data, ['col1', 'col2'], 0) Features Type Mark 1 2 0 # of Customers ClusterSize False 2.000000 1.000000 1 % of Customers ClusterProportion False 0.666667 0.333333 2 col1 mean_with_zeros True 1.500000 4.500000 3 col2 mean_with_zeros True 150.000000 300.000000 4 numbers mean_with_zeros False 1.500000 3.000000 .. ... ... ... ... ... 99 dummy 5% False 1.000000 1.000000 100 dummy 95% False 1.000000 1.000000 101 dummy stdev False 0.000000 NaN 102 dummy mode False 1.000000 1.000000 103 dummy median False 1.000000 1.000000 <BLANKLINE> [104 rows x 5 columns] """ # Fill missing values with given rules if FillMissingReport: df.fillna(value=FillMissingReport, inplace=True) df["dummy"] = 1 numeric_cols = df.select_dtypes(np.number).columns report = ( df.groupby(["Cluster"])[ # construct report dataframe numeric_cols ] # group by cluster number .agg( [ ("sum", np.sum), ("mean_with_zeros", lambda x: np.mean(np.nan_to_num(x))), ("mean_without_zeros", lambda x: x.replace(0, np.NaN).mean()), ( "mean_25-75", lambda x: np.mean( np.nan_to_num( sorted(x)[ round(len(x) * 25 / 100) : round(len(x) * 75 / 100) ] ) ), ), ("mean_with_na", np.mean), ("min", lambda x: x.min()), ("5%", lambda x: x.quantile(0.05)), ("25%", lambda x: x.quantile(0.25)), ("50%", lambda x: x.quantile(0.50)), ("75%", lambda x: x.quantile(0.75)), ("95%", lambda x: x.quantile(0.95)), ("max", lambda x: x.max()), ("count", lambda x: x.count()), ("stdev", lambda x: x.std()), ("mode", lambda x: x.mode()[0]), ("median", lambda x: x.median()), ("# > 0", lambda x: (x > 0).sum()), ] ) .T.reset_index() .rename(index=str, columns={"level_0": "Features", "level_1": "Type"}) ) # rename columns # calculate the size of cluster(count of clientID's) clustersize = report[ (report["Features"] == "dummy") & (report["Type"] == "count") ].copy() # avoid SettingWithCopyWarning clustersize.Type = ( "ClusterSize" # rename created cluster df to match report column names ) clustersize.Features = "# of Customers" clusterproportion = pd.DataFrame( clustersize.iloc[:, 2:].values / clustersize.iloc[:, 2:].values.sum() # calculating the proportion of cluster ) clusterproportion[ "Type" ] = "% of Customers" # rename created cluster df to match report column names clusterproportion["Features"] = "ClusterProportion" cols = clusterproportion.columns.tolist() cols = cols[-2:] + cols[:-2] clusterproportion = clusterproportion[cols] # rearrange columns to match report clusterproportion.columns = report.columns a = pd.DataFrame( abs( report[report["Type"] == "count"].iloc[:, 2:].values - clustersize.iloc[:, 2:].values ) ) # generating df with count of nan values a["Features"] = 0 a["Type"] = "# of nan" a.Features = report[ report["Type"] == "count" ].Features.tolist() # filling values in order to match report cols = a.columns.tolist() cols = cols[-2:] + cols[:-2] a = a[cols] # rearrange columns to match report a.columns = report.columns # rename columns to match report report = report.drop( report[report.Type == "count"].index ) # drop count values except cluster size report = pd.concat( [report, a, clustersize, clusterproportion], axis=0 ) # concat report with clustert size and nan values report["Mark"] = report["Features"].isin(ClusteringVariables) cols = report.columns.tolist() cols = cols[0:2] + cols[-1:] + cols[2:-1] report = report[cols] sorter1 = { "ClusterSize": 9, "ClusterProportion": 8, "mean_with_zeros": 7, "mean_with_na": 6, "max": 5, "50%": 4, "min": 3, "25%": 2, "75%": 1, "# of nan": 0, "# > 0": -1, "sum_with_na": -2, } report = ( report.assign( Sorter1=lambda x: x.Type.map(sorter1), Sorter2=lambda x: list(reversed(range(len(x)))), ) .sort_values(["Sorter1", "Mark", "Sorter2"], ascending=False) .drop(["Sorter1", "Sorter2"], axis=1) ) report.columns.name = "" report = report.reset_index() report.drop(columns=["index"], inplace=True) return report if __name__ == "__main__": import doctest doctest.testmod()
"""README, Author - Anurag Kumar(mailto:[email protected]) Requirements: - sklearn - numpy - matplotlib Python: - 3.5 Inputs: - X , a 2D numpy array of features. - k , number of clusters to create. - initial_centroids , initial centroid values generated by utility function(mentioned in usage). - maxiter , maximum number of iterations to process. - heterogeneity , empty list that will be filled with hetrogeneity values if passed to kmeans func. Usage: 1. define 'k' value, 'X' features array and 'hetrogeneity' empty list 2. create initial_centroids, initial_centroids = get_initial_centroids( X, k, seed=0 # seed value for initial centroid generation, # None for randomness(default=None) ) 3. find centroids and clusters using kmeans function. centroids, cluster_assignment = kmeans( X, k, initial_centroids, maxiter=400, record_heterogeneity=heterogeneity, verbose=True # whether to print logs in console or not.(default=False) ) 4. Plot the loss function, hetrogeneity values for every iteration saved in hetrogeneity list. plot_heterogeneity( heterogeneity, k ) 5. Transfers Dataframe into excel format it must have feature called 'Clust' with k means clustering numbers in it. """ import warnings import numpy as np import pandas as pd from matplotlib import pyplot as plt from sklearn.metrics import pairwise_distances warnings.filterwarnings("ignore") TAG = "K-MEANS-CLUST/ " def get_initial_centroids(data, k, seed=None): """Randomly choose k data points as initial centroids""" if seed is not None: # useful for obtaining consistent results np.random.seed(seed) n = data.shape[0] # number of data points # Pick K indices from range [0, N). rand_indices = np.random.randint(0, n, k) # Keep centroids as dense format, as many entries will be nonzero due to averaging. # As long as at least one document in a cluster contains a word, # it will carry a nonzero weight in the TF-IDF vector of the centroid. centroids = data[rand_indices, :] return centroids def centroid_pairwise_dist(X, centroids): return pairwise_distances(X, centroids, metric="euclidean") def assign_clusters(data, centroids): # Compute distances between each data point and the set of centroids: # Fill in the blank (RHS only) distances_from_centroids = centroid_pairwise_dist(data, centroids) # Compute cluster assignments for each data point: # Fill in the blank (RHS only) cluster_assignment = np.argmin(distances_from_centroids, axis=1) return cluster_assignment def revise_centroids(data, k, cluster_assignment): new_centroids = [] for i in range(k): # Select all data points that belong to cluster i. Fill in the blank (RHS only) member_data_points = data[cluster_assignment == i] # Compute the mean of the data points. Fill in the blank (RHS only) centroid = member_data_points.mean(axis=0) new_centroids.append(centroid) new_centroids = np.array(new_centroids) return new_centroids def compute_heterogeneity(data, k, centroids, cluster_assignment): heterogeneity = 0.0 for i in range(k): # Select all data points that belong to cluster i. Fill in the blank (RHS only) member_data_points = data[cluster_assignment == i, :] if member_data_points.shape[0] > 0: # check if i-th cluster is non-empty # Compute distances from centroid to data points (RHS only) distances = pairwise_distances( member_data_points, [centroids[i]], metric="euclidean" ) squared_distances = distances ** 2 heterogeneity += np.sum(squared_distances) return heterogeneity def plot_heterogeneity(heterogeneity, k): plt.figure(figsize=(7, 4)) plt.plot(heterogeneity, linewidth=4) plt.xlabel("# Iterations") plt.ylabel("Heterogeneity") plt.title(f"Heterogeneity of clustering over time, K={k:d}") plt.rcParams.update({"font.size": 16}) plt.show() def kmeans( data, k, initial_centroids, maxiter=500, record_heterogeneity=None, verbose=False ): """This function runs k-means on given data and initial set of centroids. maxiter: maximum number of iterations to run.(default=500) record_heterogeneity: (optional) a list, to store the history of heterogeneity as function of iterations if None, do not store the history. verbose: if True, print how many data points changed their cluster labels in each iteration""" centroids = initial_centroids[:] prev_cluster_assignment = None for itr in range(maxiter): if verbose: print(itr, end="") # 1. Make cluster assignments using nearest centroids cluster_assignment = assign_clusters(data, centroids) # 2. Compute a new centroid for each of the k clusters, averaging all data # points assigned to that cluster. centroids = revise_centroids(data, k, cluster_assignment) # Check for convergence: if none of the assignments changed, stop if ( prev_cluster_assignment is not None and (prev_cluster_assignment == cluster_assignment).all() ): break # Print number of new assignments if prev_cluster_assignment is not None: num_changed = np.sum(prev_cluster_assignment != cluster_assignment) if verbose: print( " {:5d} elements changed their cluster assignment.".format( num_changed ) ) # Record heterogeneity convergence metric if record_heterogeneity is not None: # YOUR CODE HERE score = compute_heterogeneity(data, k, centroids, cluster_assignment) record_heterogeneity.append(score) prev_cluster_assignment = cluster_assignment[:] return centroids, cluster_assignment # Mock test below if False: # change to true to run this test case. from sklearn import datasets as ds dataset = ds.load_iris() k = 3 heterogeneity = [] initial_centroids = get_initial_centroids(dataset["data"], k, seed=0) centroids, cluster_assignment = kmeans( dataset["data"], k, initial_centroids, maxiter=400, record_heterogeneity=heterogeneity, verbose=True, ) plot_heterogeneity(heterogeneity, k) def ReportGenerator( df: pd.DataFrame, ClusteringVariables: np.array, FillMissingReport=None ) -> pd.DataFrame: """ Function generates easy-erading clustering report. It takes 2 arguments as an input: DataFrame - dataframe with predicted cluester column; FillMissingReport - dictionary of rules how we are going to fill missing values of for final report generate (not included in modeling); in order to run the function following libraries must be imported: import pandas as pd import numpy as np >>> data = pd.DataFrame() >>> data['numbers'] = [1, 2, 3] >>> data['col1'] = [0.5, 2.5, 4.5] >>> data['col2'] = [100, 200, 300] >>> data['col3'] = [10, 20, 30] >>> data['Cluster'] = [1, 1, 2] >>> ReportGenerator(data, ['col1', 'col2'], 0) Features Type Mark 1 2 0 # of Customers ClusterSize False 2.000000 1.000000 1 % of Customers ClusterProportion False 0.666667 0.333333 2 col1 mean_with_zeros True 1.500000 4.500000 3 col2 mean_with_zeros True 150.000000 300.000000 4 numbers mean_with_zeros False 1.500000 3.000000 .. ... ... ... ... ... 99 dummy 5% False 1.000000 1.000000 100 dummy 95% False 1.000000 1.000000 101 dummy stdev False 0.000000 NaN 102 dummy mode False 1.000000 1.000000 103 dummy median False 1.000000 1.000000 <BLANKLINE> [104 rows x 5 columns] """ # Fill missing values with given rules if FillMissingReport: df.fillna(value=FillMissingReport, inplace=True) df["dummy"] = 1 numeric_cols = df.select_dtypes(np.number).columns report = ( df.groupby(["Cluster"])[ # construct report dataframe numeric_cols ] # group by cluster number .agg( [ ("sum", np.sum), ("mean_with_zeros", lambda x: np.mean(np.nan_to_num(x))), ("mean_without_zeros", lambda x: x.replace(0, np.NaN).mean()), ( "mean_25-75", lambda x: np.mean( np.nan_to_num( sorted(x)[ round(len(x) * 25 / 100) : round(len(x) * 75 / 100) ] ) ), ), ("mean_with_na", np.mean), ("min", lambda x: x.min()), ("5%", lambda x: x.quantile(0.05)), ("25%", lambda x: x.quantile(0.25)), ("50%", lambda x: x.quantile(0.50)), ("75%", lambda x: x.quantile(0.75)), ("95%", lambda x: x.quantile(0.95)), ("max", lambda x: x.max()), ("count", lambda x: x.count()), ("stdev", lambda x: x.std()), ("mode", lambda x: x.mode()[0]), ("median", lambda x: x.median()), ("# > 0", lambda x: (x > 0).sum()), ] ) .T.reset_index() .rename(index=str, columns={"level_0": "Features", "level_1": "Type"}) ) # rename columns # calculate the size of cluster(count of clientID's) clustersize = report[ (report["Features"] == "dummy") & (report["Type"] == "count") ].copy() # avoid SettingWithCopyWarning clustersize.Type = ( "ClusterSize" # rename created cluster df to match report column names ) clustersize.Features = "# of Customers" clusterproportion = pd.DataFrame( clustersize.iloc[:, 2:].values / clustersize.iloc[:, 2:].values.sum() # calculating the proportion of cluster ) clusterproportion[ "Type" ] = "% of Customers" # rename created cluster df to match report column names clusterproportion["Features"] = "ClusterProportion" cols = clusterproportion.columns.tolist() cols = cols[-2:] + cols[:-2] clusterproportion = clusterproportion[cols] # rearrange columns to match report clusterproportion.columns = report.columns a = pd.DataFrame( abs( report[report["Type"] == "count"].iloc[:, 2:].values - clustersize.iloc[:, 2:].values ) ) # generating df with count of nan values a["Features"] = 0 a["Type"] = "# of nan" a.Features = report[ report["Type"] == "count" ].Features.tolist() # filling values in order to match report cols = a.columns.tolist() cols = cols[-2:] + cols[:-2] a = a[cols] # rearrange columns to match report a.columns = report.columns # rename columns to match report report = report.drop( report[report.Type == "count"].index ) # drop count values except cluster size report = pd.concat( [report, a, clustersize, clusterproportion], axis=0 ) # concat report with clustert size and nan values report["Mark"] = report["Features"].isin(ClusteringVariables) cols = report.columns.tolist() cols = cols[0:2] + cols[-1:] + cols[2:-1] report = report[cols] sorter1 = { "ClusterSize": 9, "ClusterProportion": 8, "mean_with_zeros": 7, "mean_with_na": 6, "max": 5, "50%": 4, "min": 3, "25%": 2, "75%": 1, "# of nan": 0, "# > 0": -1, "sum_with_na": -2, } report = ( report.assign( Sorter1=lambda x: x.Type.map(sorter1), Sorter2=lambda x: list(reversed(range(len(x)))), ) .sort_values(["Sorter1", "Mark", "Sorter2"], ascending=False) .drop(["Sorter1", "Sorter2"], axis=1) ) report.columns.name = "" report = report.reset_index() report.drop(columns=["index"], inplace=True) return report if __name__ == "__main__": import doctest doctest.testmod()
-1
TheAlgorithms/Python
4,278
fix(mypy): Fix annotations for 13 cipher algorithms
Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
dhruvmanila
"2021-03-20T09:09:15Z"
"2021-03-22T06:59:51Z"
99a42f2b5821356718fb7d011ac711a6b4a63a83
14bcb580d55ee90614ad258ea31ef8fe4e4b5c40
fix(mypy): Fix annotations for 13 cipher algorithms. Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
#!/usr/bin/env python3 from .hash_table import HashTable class QuadraticProbing(HashTable): """ Basic Hash Table example with open addressing using Quadratic Probing """ def __init__(self, *args, **kwargs): super().__init__(*args, **kwargs) def _collision_resolution(self, key, data=None): i = 1 new_key = self.hash_function(key + i * i) while self.values[new_key] is not None and self.values[new_key] != key: i += 1 new_key = ( self.hash_function(key + i * i) if not self.balanced_factor() >= self.lim_charge else None ) if new_key is None: break return new_key
#!/usr/bin/env python3 from .hash_table import HashTable class QuadraticProbing(HashTable): """ Basic Hash Table example with open addressing using Quadratic Probing """ def __init__(self, *args, **kwargs): super().__init__(*args, **kwargs) def _collision_resolution(self, key, data=None): i = 1 new_key = self.hash_function(key + i * i) while self.values[new_key] is not None and self.values[new_key] != key: i += 1 new_key = ( self.hash_function(key + i * i) if not self.balanced_factor() >= self.lim_charge else None ) if new_key is None: break return new_key
-1
TheAlgorithms/Python
4,278
fix(mypy): Fix annotations for 13 cipher algorithms
Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
dhruvmanila
"2021-03-20T09:09:15Z"
"2021-03-22T06:59:51Z"
99a42f2b5821356718fb7d011ac711a6b4a63a83
14bcb580d55ee90614ad258ea31ef8fe4e4b5c40
fix(mypy): Fix annotations for 13 cipher algorithms. Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
""" A non-recursive Segment Tree implementation with range query and single element update, works virtually with any list of the same type of elements with a "commutative" combiner. Explanation: https://www.geeksforgeeks.org/iterative-segment-tree-range-minimum-query/ https://www.geeksforgeeks.org/segment-tree-efficient-implementation/ >>> SegmentTree([1, 2, 3], lambda a, b: a + b).query(0, 2) 6 >>> SegmentTree([3, 1, 2], min).query(0, 2) 1 >>> SegmentTree([2, 3, 1], max).query(0, 2) 3 >>> st = SegmentTree([1, 5, 7, -1, 6], lambda a, b: a + b) >>> st.update(1, -1) >>> st.update(2, 3) >>> st.query(1, 2) 2 >>> st.query(1, 1) -1 >>> st.update(4, 1) >>> st.query(3, 4) 0 >>> st = SegmentTree([[1, 2, 3], [3, 2, 1], [1, 1, 1]], lambda a, b: [a[i] + b[i] for i ... in range(len(a))]) >>> st.query(0, 1) [4, 4, 4] >>> st.query(1, 2) [4, 3, 2] >>> st.update(1, [-1, -1, -1]) >>> st.query(1, 2) [0, 0, 0] >>> st.query(0, 2) [1, 2, 3] """ from __future__ import annotations from typing import Callable, TypeVar T = TypeVar("T") class SegmentTree: def __init__(self, arr: list[T], fnc: Callable[[T, T], T]) -> None: """ Segment Tree constructor, it works just with commutative combiner. :param arr: list of elements for the segment tree :param fnc: commutative function for combine two elements >>> SegmentTree(['a', 'b', 'c'], lambda a, b: f'{a}{b}').query(0, 2) 'abc' >>> SegmentTree([(1, 2), (2, 3), (3, 4)], ... lambda a, b: (a[0] + b[0], a[1] + b[1])).query(0, 2) (6, 9) """ self.N = len(arr) self.st = [None for _ in range(len(arr))] + arr self.fn = fnc self.build() def build(self) -> None: for p in range(self.N - 1, 0, -1): self.st[p] = self.fn(self.st[p * 2], self.st[p * 2 + 1]) def update(self, p: int, v: T) -> None: """ Update an element in log(N) time :param p: position to be update :param v: new value >>> st = SegmentTree([3, 1, 2, 4], min) >>> st.query(0, 3) 1 >>> st.update(2, -1) >>> st.query(0, 3) -1 """ p += self.N self.st[p] = v while p > 1: p = p // 2 self.st[p] = self.fn(self.st[p * 2], self.st[p * 2 + 1]) def query(self, l: int, r: int) -> T: # noqa: E741 """ Get range query value in log(N) time :param l: left element index :param r: right element index :return: element combined in the range [l, r] >>> st = SegmentTree([1, 2, 3, 4], lambda a, b: a + b) >>> st.query(0, 2) 6 >>> st.query(1, 2) 5 >>> st.query(0, 3) 10 >>> st.query(2, 3) 7 """ l, r = l + self.N, r + self.N # noqa: E741 res = None while l <= r: # noqa: E741 if l % 2 == 1: res = self.st[l] if res is None else self.fn(res, self.st[l]) if r % 2 == 0: res = self.st[r] if res is None else self.fn(res, self.st[r]) l, r = (l + 1) // 2, (r - 1) // 2 return res if __name__ == "__main__": from functools import reduce test_array = [1, 10, -2, 9, -3, 8, 4, -7, 5, 6, 11, -12] test_updates = { 0: 7, 1: 2, 2: 6, 3: -14, 4: 5, 5: 4, 6: 7, 7: -10, 8: 9, 9: 10, 10: 12, 11: 1, } min_segment_tree = SegmentTree(test_array, min) max_segment_tree = SegmentTree(test_array, max) sum_segment_tree = SegmentTree(test_array, lambda a, b: a + b) def test_all_segments(): """ Test all possible segments """ for i in range(len(test_array)): for j in range(i, len(test_array)): min_range = reduce(min, test_array[i : j + 1]) max_range = reduce(max, test_array[i : j + 1]) sum_range = reduce(lambda a, b: a + b, test_array[i : j + 1]) assert min_range == min_segment_tree.query(i, j) assert max_range == max_segment_tree.query(i, j) assert sum_range == sum_segment_tree.query(i, j) test_all_segments() for index, value in test_updates.items(): test_array[index] = value min_segment_tree.update(index, value) max_segment_tree.update(index, value) sum_segment_tree.update(index, value) test_all_segments()
""" A non-recursive Segment Tree implementation with range query and single element update, works virtually with any list of the same type of elements with a "commutative" combiner. Explanation: https://www.geeksforgeeks.org/iterative-segment-tree-range-minimum-query/ https://www.geeksforgeeks.org/segment-tree-efficient-implementation/ >>> SegmentTree([1, 2, 3], lambda a, b: a + b).query(0, 2) 6 >>> SegmentTree([3, 1, 2], min).query(0, 2) 1 >>> SegmentTree([2, 3, 1], max).query(0, 2) 3 >>> st = SegmentTree([1, 5, 7, -1, 6], lambda a, b: a + b) >>> st.update(1, -1) >>> st.update(2, 3) >>> st.query(1, 2) 2 >>> st.query(1, 1) -1 >>> st.update(4, 1) >>> st.query(3, 4) 0 >>> st = SegmentTree([[1, 2, 3], [3, 2, 1], [1, 1, 1]], lambda a, b: [a[i] + b[i] for i ... in range(len(a))]) >>> st.query(0, 1) [4, 4, 4] >>> st.query(1, 2) [4, 3, 2] >>> st.update(1, [-1, -1, -1]) >>> st.query(1, 2) [0, 0, 0] >>> st.query(0, 2) [1, 2, 3] """ from __future__ import annotations from typing import Callable, TypeVar T = TypeVar("T") class SegmentTree: def __init__(self, arr: list[T], fnc: Callable[[T, T], T]) -> None: """ Segment Tree constructor, it works just with commutative combiner. :param arr: list of elements for the segment tree :param fnc: commutative function for combine two elements >>> SegmentTree(['a', 'b', 'c'], lambda a, b: f'{a}{b}').query(0, 2) 'abc' >>> SegmentTree([(1, 2), (2, 3), (3, 4)], ... lambda a, b: (a[0] + b[0], a[1] + b[1])).query(0, 2) (6, 9) """ self.N = len(arr) self.st = [None for _ in range(len(arr))] + arr self.fn = fnc self.build() def build(self) -> None: for p in range(self.N - 1, 0, -1): self.st[p] = self.fn(self.st[p * 2], self.st[p * 2 + 1]) def update(self, p: int, v: T) -> None: """ Update an element in log(N) time :param p: position to be update :param v: new value >>> st = SegmentTree([3, 1, 2, 4], min) >>> st.query(0, 3) 1 >>> st.update(2, -1) >>> st.query(0, 3) -1 """ p += self.N self.st[p] = v while p > 1: p = p // 2 self.st[p] = self.fn(self.st[p * 2], self.st[p * 2 + 1]) def query(self, l: int, r: int) -> T: # noqa: E741 """ Get range query value in log(N) time :param l: left element index :param r: right element index :return: element combined in the range [l, r] >>> st = SegmentTree([1, 2, 3, 4], lambda a, b: a + b) >>> st.query(0, 2) 6 >>> st.query(1, 2) 5 >>> st.query(0, 3) 10 >>> st.query(2, 3) 7 """ l, r = l + self.N, r + self.N # noqa: E741 res = None while l <= r: # noqa: E741 if l % 2 == 1: res = self.st[l] if res is None else self.fn(res, self.st[l]) if r % 2 == 0: res = self.st[r] if res is None else self.fn(res, self.st[r]) l, r = (l + 1) // 2, (r - 1) // 2 return res if __name__ == "__main__": from functools import reduce test_array = [1, 10, -2, 9, -3, 8, 4, -7, 5, 6, 11, -12] test_updates = { 0: 7, 1: 2, 2: 6, 3: -14, 4: 5, 5: 4, 6: 7, 7: -10, 8: 9, 9: 10, 10: 12, 11: 1, } min_segment_tree = SegmentTree(test_array, min) max_segment_tree = SegmentTree(test_array, max) sum_segment_tree = SegmentTree(test_array, lambda a, b: a + b) def test_all_segments(): """ Test all possible segments """ for i in range(len(test_array)): for j in range(i, len(test_array)): min_range = reduce(min, test_array[i : j + 1]) max_range = reduce(max, test_array[i : j + 1]) sum_range = reduce(lambda a, b: a + b, test_array[i : j + 1]) assert min_range == min_segment_tree.query(i, j) assert max_range == max_segment_tree.query(i, j) assert sum_range == sum_segment_tree.query(i, j) test_all_segments() for index, value in test_updates.items(): test_array[index] = value min_segment_tree.update(index, value) max_segment_tree.update(index, value) sum_segment_tree.update(index, value) test_all_segments()
-1
TheAlgorithms/Python
4,278
fix(mypy): Fix annotations for 13 cipher algorithms
Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
dhruvmanila
"2021-03-20T09:09:15Z"
"2021-03-22T06:59:51Z"
99a42f2b5821356718fb7d011ac711a6b4a63a83
14bcb580d55ee90614ad258ea31ef8fe4e4b5c40
fix(mypy): Fix annotations for 13 cipher algorithms. Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
# flake8: noqa """ Binomial Heap Reference: Advanced Data Structures, Peter Brass """ class Node: """ Node in a doubly-linked binomial tree, containing: - value - size of left subtree - link to left, right and parent nodes """ def __init__(self, val): self.val = val # Number of nodes in left subtree self.left_tree_size = 0 self.left = None self.right = None self.parent = None def mergeTrees(self, other): """ In-place merge of two binomial trees of equal size. Returns the root of the resulting tree """ assert self.left_tree_size == other.left_tree_size, "Unequal Sizes of Blocks" if self.val < other.val: other.left = self.right other.parent = None if self.right: self.right.parent = other self.right = other self.left_tree_size = self.left_tree_size * 2 + 1 return self else: self.left = other.right self.parent = None if other.right: other.right.parent = self other.right = self other.left_tree_size = other.left_tree_size * 2 + 1 return other class BinomialHeap: r""" Min-oriented priority queue implemented with the Binomial Heap data structure implemented with the BinomialHeap class. It supports: - Insert element in a heap with n elements: Guaranteed logn, amoratized 1 - Merge (meld) heaps of size m and n: O(logn + logm) - Delete Min: O(logn) - Peek (return min without deleting it): O(1) Example: Create a random permutation of 30 integers to be inserted and 19 of them deleted >>> import numpy as np >>> permutation = np.random.permutation(list(range(30))) Create a Heap and insert the 30 integers __init__() test >>> first_heap = BinomialHeap() 30 inserts - insert() test >>> for number in permutation: ... first_heap.insert(number) Size test >>> print(first_heap.size) 30 Deleting - delete() test >>> for i in range(25): ... print(first_heap.deleteMin(), end=" ") 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 Create a new Heap >>> second_heap = BinomialHeap() >>> vals = [17, 20, 31, 34] >>> for value in vals: ... second_heap.insert(value) The heap should have the following structure: 17 / \ # 31 / \ 20 34 / \ / \ # # # # preOrder() test >>> print(second_heap.preOrder()) [(17, 0), ('#', 1), (31, 1), (20, 2), ('#', 3), ('#', 3), (34, 2), ('#', 3), ('#', 3)] printing Heap - __str__() test >>> print(second_heap) 17 -# -31 --20 ---# ---# --34 ---# ---# mergeHeaps() test >>> merged = second_heap.mergeHeaps(first_heap) >>> merged.peek() 17 values in merged heap; (merge is inplace) >>> while not first_heap.isEmpty(): ... print(first_heap.deleteMin(), end=" ") 17 20 25 26 27 28 29 31 34 """ def __init__(self, bottom_root=None, min_node=None, heap_size=0): self.size = heap_size self.bottom_root = bottom_root self.min_node = min_node def mergeHeaps(self, other): """ In-place merge of two binomial heaps. Both of them become the resulting merged heap """ # Empty heaps corner cases if other.size == 0: return if self.size == 0: self.size = other.size self.bottom_root = other.bottom_root self.min_node = other.min_node return # Update size self.size = self.size + other.size # Update min.node if self.min_node.val > other.min_node.val: self.min_node = other.min_node # Merge # Order roots by left_subtree_size combined_roots_list = [] i, j = self.bottom_root, other.bottom_root while i or j: if i and ((not j) or i.left_tree_size < j.left_tree_size): combined_roots_list.append((i, True)) i = i.parent else: combined_roots_list.append((j, False)) j = j.parent # Insert links between them for i in range(len(combined_roots_list) - 1): if combined_roots_list[i][1] != combined_roots_list[i + 1][1]: combined_roots_list[i][0].parent = combined_roots_list[i + 1][0] combined_roots_list[i + 1][0].left = combined_roots_list[i][0] # Consecutively merge roots with same left_tree_size i = combined_roots_list[0][0] while i.parent: if ( (i.left_tree_size == i.parent.left_tree_size) and (not i.parent.parent) ) or ( i.left_tree_size == i.parent.left_tree_size and i.left_tree_size != i.parent.parent.left_tree_size ): # Neighbouring Nodes previous_node = i.left next_node = i.parent.parent # Merging trees i = i.mergeTrees(i.parent) # Updating links i.left = previous_node i.parent = next_node if previous_node: previous_node.parent = i if next_node: next_node.left = i else: i = i.parent # Updating self.bottom_root while i.left: i = i.left self.bottom_root = i # Update other other.size = self.size other.bottom_root = self.bottom_root other.min_node = self.min_node # Return the merged heap return self def insert(self, val): """ insert a value in the heap """ if self.size == 0: self.bottom_root = Node(val) self.size = 1 self.min_node = self.bottom_root else: # Create new node new_node = Node(val) # Update size self.size += 1 # update min_node if val < self.min_node.val: self.min_node = new_node # Put new_node as a bottom_root in heap self.bottom_root.left = new_node new_node.parent = self.bottom_root self.bottom_root = new_node # Consecutively merge roots with same left_tree_size while ( self.bottom_root.parent and self.bottom_root.left_tree_size == self.bottom_root.parent.left_tree_size ): # Next node next_node = self.bottom_root.parent.parent # Merge self.bottom_root = self.bottom_root.mergeTrees(self.bottom_root.parent) # Update Links self.bottom_root.parent = next_node self.bottom_root.left = None if next_node: next_node.left = self.bottom_root def peek(self): """ return min element without deleting it """ return self.min_node.val def isEmpty(self): return self.size == 0 def deleteMin(self): """ delete min element and return it """ # assert not self.isEmpty(), "Empty Heap" # Save minimal value min_value = self.min_node.val # Last element in heap corner case if self.size == 1: # Update size self.size = 0 # Update bottom root self.bottom_root = None # Update min_node self.min_node = None return min_value # No right subtree corner case # The structure of the tree implies that this should be the bottom root # and there is at least one other root if self.min_node.right is None: # Update size self.size -= 1 # Update bottom root self.bottom_root = self.bottom_root.parent self.bottom_root.left = None # Update min_node self.min_node = self.bottom_root i = self.bottom_root.parent while i: if i.val < self.min_node.val: self.min_node = i i = i.parent return min_value # General case # Find the BinomialHeap of the right subtree of min_node bottom_of_new = self.min_node.right bottom_of_new.parent = None min_of_new = bottom_of_new size_of_new = 1 # Size, min_node and bottom_root while bottom_of_new.left: size_of_new = size_of_new * 2 + 1 bottom_of_new = bottom_of_new.left if bottom_of_new.val < min_of_new.val: min_of_new = bottom_of_new # Corner case of single root on top left path if (not self.min_node.left) and (not self.min_node.parent): self.size = size_of_new self.bottom_root = bottom_of_new self.min_node = min_of_new # print("Single root, multiple nodes case") return min_value # Remaining cases # Construct heap of right subtree newHeap = BinomialHeap( bottom_root=bottom_of_new, min_node=min_of_new, heap_size=size_of_new ) # Update size self.size = self.size - 1 - size_of_new # Neighbour nodes previous_node = self.min_node.left next_node = self.min_node.parent # Initialize new bottom_root and min_node self.min_node = previous_node or next_node self.bottom_root = next_node # Update links of previous_node and search below for new min_node and # bottom_root if previous_node: previous_node.parent = next_node # Update bottom_root and search for min_node below self.bottom_root = previous_node self.min_node = previous_node while self.bottom_root.left: self.bottom_root = self.bottom_root.left if self.bottom_root.val < self.min_node.val: self.min_node = self.bottom_root if next_node: next_node.left = previous_node # Search for new min_node above min_node i = next_node while i: if i.val < self.min_node.val: self.min_node = i i = i.parent # Merge heaps self.mergeHeaps(newHeap) return min_value def preOrder(self): """ Returns the Pre-order representation of the heap including values of nodes plus their level distance from the root; Empty nodes appear as # """ # Find top root top_root = self.bottom_root while top_root.parent: top_root = top_root.parent # preorder heap_preOrder = [] self.__traversal(top_root, heap_preOrder) return heap_preOrder def __traversal(self, curr_node, preorder, level=0): """ Pre-order traversal of nodes """ if curr_node: preorder.append((curr_node.val, level)) self.__traversal(curr_node.left, preorder, level + 1) self.__traversal(curr_node.right, preorder, level + 1) else: preorder.append(("#", level)) def __str__(self): """ Overwriting str for a pre-order print of nodes in heap; Performance is poor, so use only for small examples """ if self.isEmpty(): return "" preorder_heap = self.preOrder() return "\n".join(("-" * level + str(value)) for value, level in preorder_heap) # Unit Tests if __name__ == "__main__": import doctest doctest.testmod()
# flake8: noqa """ Binomial Heap Reference: Advanced Data Structures, Peter Brass """ class Node: """ Node in a doubly-linked binomial tree, containing: - value - size of left subtree - link to left, right and parent nodes """ def __init__(self, val): self.val = val # Number of nodes in left subtree self.left_tree_size = 0 self.left = None self.right = None self.parent = None def mergeTrees(self, other): """ In-place merge of two binomial trees of equal size. Returns the root of the resulting tree """ assert self.left_tree_size == other.left_tree_size, "Unequal Sizes of Blocks" if self.val < other.val: other.left = self.right other.parent = None if self.right: self.right.parent = other self.right = other self.left_tree_size = self.left_tree_size * 2 + 1 return self else: self.left = other.right self.parent = None if other.right: other.right.parent = self other.right = self other.left_tree_size = other.left_tree_size * 2 + 1 return other class BinomialHeap: r""" Min-oriented priority queue implemented with the Binomial Heap data structure implemented with the BinomialHeap class. It supports: - Insert element in a heap with n elements: Guaranteed logn, amoratized 1 - Merge (meld) heaps of size m and n: O(logn + logm) - Delete Min: O(logn) - Peek (return min without deleting it): O(1) Example: Create a random permutation of 30 integers to be inserted and 19 of them deleted >>> import numpy as np >>> permutation = np.random.permutation(list(range(30))) Create a Heap and insert the 30 integers __init__() test >>> first_heap = BinomialHeap() 30 inserts - insert() test >>> for number in permutation: ... first_heap.insert(number) Size test >>> print(first_heap.size) 30 Deleting - delete() test >>> for i in range(25): ... print(first_heap.deleteMin(), end=" ") 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 Create a new Heap >>> second_heap = BinomialHeap() >>> vals = [17, 20, 31, 34] >>> for value in vals: ... second_heap.insert(value) The heap should have the following structure: 17 / \ # 31 / \ 20 34 / \ / \ # # # # preOrder() test >>> print(second_heap.preOrder()) [(17, 0), ('#', 1), (31, 1), (20, 2), ('#', 3), ('#', 3), (34, 2), ('#', 3), ('#', 3)] printing Heap - __str__() test >>> print(second_heap) 17 -# -31 --20 ---# ---# --34 ---# ---# mergeHeaps() test >>> merged = second_heap.mergeHeaps(first_heap) >>> merged.peek() 17 values in merged heap; (merge is inplace) >>> while not first_heap.isEmpty(): ... print(first_heap.deleteMin(), end=" ") 17 20 25 26 27 28 29 31 34 """ def __init__(self, bottom_root=None, min_node=None, heap_size=0): self.size = heap_size self.bottom_root = bottom_root self.min_node = min_node def mergeHeaps(self, other): """ In-place merge of two binomial heaps. Both of them become the resulting merged heap """ # Empty heaps corner cases if other.size == 0: return if self.size == 0: self.size = other.size self.bottom_root = other.bottom_root self.min_node = other.min_node return # Update size self.size = self.size + other.size # Update min.node if self.min_node.val > other.min_node.val: self.min_node = other.min_node # Merge # Order roots by left_subtree_size combined_roots_list = [] i, j = self.bottom_root, other.bottom_root while i or j: if i and ((not j) or i.left_tree_size < j.left_tree_size): combined_roots_list.append((i, True)) i = i.parent else: combined_roots_list.append((j, False)) j = j.parent # Insert links between them for i in range(len(combined_roots_list) - 1): if combined_roots_list[i][1] != combined_roots_list[i + 1][1]: combined_roots_list[i][0].parent = combined_roots_list[i + 1][0] combined_roots_list[i + 1][0].left = combined_roots_list[i][0] # Consecutively merge roots with same left_tree_size i = combined_roots_list[0][0] while i.parent: if ( (i.left_tree_size == i.parent.left_tree_size) and (not i.parent.parent) ) or ( i.left_tree_size == i.parent.left_tree_size and i.left_tree_size != i.parent.parent.left_tree_size ): # Neighbouring Nodes previous_node = i.left next_node = i.parent.parent # Merging trees i = i.mergeTrees(i.parent) # Updating links i.left = previous_node i.parent = next_node if previous_node: previous_node.parent = i if next_node: next_node.left = i else: i = i.parent # Updating self.bottom_root while i.left: i = i.left self.bottom_root = i # Update other other.size = self.size other.bottom_root = self.bottom_root other.min_node = self.min_node # Return the merged heap return self def insert(self, val): """ insert a value in the heap """ if self.size == 0: self.bottom_root = Node(val) self.size = 1 self.min_node = self.bottom_root else: # Create new node new_node = Node(val) # Update size self.size += 1 # update min_node if val < self.min_node.val: self.min_node = new_node # Put new_node as a bottom_root in heap self.bottom_root.left = new_node new_node.parent = self.bottom_root self.bottom_root = new_node # Consecutively merge roots with same left_tree_size while ( self.bottom_root.parent and self.bottom_root.left_tree_size == self.bottom_root.parent.left_tree_size ): # Next node next_node = self.bottom_root.parent.parent # Merge self.bottom_root = self.bottom_root.mergeTrees(self.bottom_root.parent) # Update Links self.bottom_root.parent = next_node self.bottom_root.left = None if next_node: next_node.left = self.bottom_root def peek(self): """ return min element without deleting it """ return self.min_node.val def isEmpty(self): return self.size == 0 def deleteMin(self): """ delete min element and return it """ # assert not self.isEmpty(), "Empty Heap" # Save minimal value min_value = self.min_node.val # Last element in heap corner case if self.size == 1: # Update size self.size = 0 # Update bottom root self.bottom_root = None # Update min_node self.min_node = None return min_value # No right subtree corner case # The structure of the tree implies that this should be the bottom root # and there is at least one other root if self.min_node.right is None: # Update size self.size -= 1 # Update bottom root self.bottom_root = self.bottom_root.parent self.bottom_root.left = None # Update min_node self.min_node = self.bottom_root i = self.bottom_root.parent while i: if i.val < self.min_node.val: self.min_node = i i = i.parent return min_value # General case # Find the BinomialHeap of the right subtree of min_node bottom_of_new = self.min_node.right bottom_of_new.parent = None min_of_new = bottom_of_new size_of_new = 1 # Size, min_node and bottom_root while bottom_of_new.left: size_of_new = size_of_new * 2 + 1 bottom_of_new = bottom_of_new.left if bottom_of_new.val < min_of_new.val: min_of_new = bottom_of_new # Corner case of single root on top left path if (not self.min_node.left) and (not self.min_node.parent): self.size = size_of_new self.bottom_root = bottom_of_new self.min_node = min_of_new # print("Single root, multiple nodes case") return min_value # Remaining cases # Construct heap of right subtree newHeap = BinomialHeap( bottom_root=bottom_of_new, min_node=min_of_new, heap_size=size_of_new ) # Update size self.size = self.size - 1 - size_of_new # Neighbour nodes previous_node = self.min_node.left next_node = self.min_node.parent # Initialize new bottom_root and min_node self.min_node = previous_node or next_node self.bottom_root = next_node # Update links of previous_node and search below for new min_node and # bottom_root if previous_node: previous_node.parent = next_node # Update bottom_root and search for min_node below self.bottom_root = previous_node self.min_node = previous_node while self.bottom_root.left: self.bottom_root = self.bottom_root.left if self.bottom_root.val < self.min_node.val: self.min_node = self.bottom_root if next_node: next_node.left = previous_node # Search for new min_node above min_node i = next_node while i: if i.val < self.min_node.val: self.min_node = i i = i.parent # Merge heaps self.mergeHeaps(newHeap) return min_value def preOrder(self): """ Returns the Pre-order representation of the heap including values of nodes plus their level distance from the root; Empty nodes appear as # """ # Find top root top_root = self.bottom_root while top_root.parent: top_root = top_root.parent # preorder heap_preOrder = [] self.__traversal(top_root, heap_preOrder) return heap_preOrder def __traversal(self, curr_node, preorder, level=0): """ Pre-order traversal of nodes """ if curr_node: preorder.append((curr_node.val, level)) self.__traversal(curr_node.left, preorder, level + 1) self.__traversal(curr_node.right, preorder, level + 1) else: preorder.append(("#", level)) def __str__(self): """ Overwriting str for a pre-order print of nodes in heap; Performance is poor, so use only for small examples """ if self.isEmpty(): return "" preorder_heap = self.preOrder() return "\n".join(("-" * level + str(value)) for value, level in preorder_heap) # Unit Tests if __name__ == "__main__": import doctest doctest.testmod()
-1
TheAlgorithms/Python
4,278
fix(mypy): Fix annotations for 13 cipher algorithms
Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
dhruvmanila
"2021-03-20T09:09:15Z"
"2021-03-22T06:59:51Z"
99a42f2b5821356718fb7d011ac711a6b4a63a83
14bcb580d55ee90614ad258ea31ef8fe4e4b5c40
fix(mypy): Fix annotations for 13 cipher algorithms. Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
""" The convex hull problem is problem of finding all the vertices of convex polygon, P of a set of points in a plane such that all the points are either on the vertices of P or inside P. TH convex hull problem has several applications in geometrical problems, computer graphics and game development. Two algorithms have been implemented for the convex hull problem here. 1. A brute-force algorithm which runs in O(n^3) 2. A divide-and-conquer algorithm which runs in O(n log(n)) There are other several other algorithms for the convex hull problem which have not been implemented here, yet. """ from typing import Iterable, List, Set, Union class Point: """ Defines a 2-d point for use by all convex-hull algorithms. Parameters ---------- x: an int or a float, the x-coordinate of the 2-d point y: an int or a float, the y-coordinate of the 2-d point Examples -------- >>> Point(1, 2) (1.0, 2.0) >>> Point("1", "2") (1.0, 2.0) >>> Point(1, 2) > Point(0, 1) True >>> Point(1, 1) == Point(1, 1) True >>> Point(-0.5, 1) == Point(0.5, 1) False >>> Point("pi", "e") Traceback (most recent call last): ... ValueError: could not convert string to float: 'pi' """ def __init__(self, x, y): self.x, self.y = float(x), float(y) def __eq__(self, other): return self.x == other.x and self.y == other.y def __ne__(self, other): return not self == other def __gt__(self, other): if self.x > other.x: return True elif self.x == other.x: return self.y > other.y return False def __lt__(self, other): return not self > other def __ge__(self, other): if self.x > other.x: return True elif self.x == other.x: return self.y >= other.y return False def __le__(self, other): if self.x < other.x: return True elif self.x == other.x: return self.y <= other.y return False def __repr__(self): return f"({self.x}, {self.y})" def __hash__(self): return hash(self.x) def _construct_points( list_of_tuples: Union[List[Point], List[List[float]], Iterable[List[float]]] ) -> List[Point]: """ constructs a list of points from an array-like object of numbers Arguments --------- list_of_tuples: array-like object of type numbers. Acceptable types so far are lists, tuples and sets. Returns -------- points: a list where each item is of type Point. This contains only objects which can be converted into a Point. Examples ------- >>> _construct_points([[1, 1], [2, -1], [0.3, 4]]) [(1.0, 1.0), (2.0, -1.0), (0.3, 4.0)] >>> _construct_points([1, 2]) Ignoring deformed point 1. All points must have at least 2 coordinates. Ignoring deformed point 2. All points must have at least 2 coordinates. [] >>> _construct_points([]) [] >>> _construct_points(None) [] """ points: List[Point] = [] if list_of_tuples: for p in list_of_tuples: if isinstance(p, Point): points.append(p) else: try: points.append(Point(p[0], p[1])) except (IndexError, TypeError): print( f"Ignoring deformed point {p}. All points" " must have at least 2 coordinates." ) return points def _validate_input(points: Union[List[Point], List[List[float]]]) -> List[Point]: """ validates an input instance before a convex-hull algorithms uses it Parameters --------- points: array-like, the 2d points to validate before using with a convex-hull algorithm. The elements of points must be either lists, tuples or Points. Returns ------- points: array_like, an iterable of all well-defined Points constructed passed in. Exception --------- ValueError: if points is empty or None, or if a wrong data structure like a scalar is passed TypeError: if an iterable but non-indexable object (eg. dictionary) is passed. The exception to this a set which we'll convert to a list before using Examples ------- >>> _validate_input([[1, 2]]) [(1.0, 2.0)] >>> _validate_input([(1, 2)]) [(1.0, 2.0)] >>> _validate_input([Point(2, 1), Point(-1, 2)]) [(2.0, 1.0), (-1.0, 2.0)] >>> _validate_input([]) Traceback (most recent call last): ... ValueError: Expecting a list of points but got [] >>> _validate_input(1) Traceback (most recent call last): ... ValueError: Expecting an iterable object but got an non-iterable type 1 """ if not hasattr(points, "__iter__"): raise ValueError( f"Expecting an iterable object but got an non-iterable type {points}" ) if not points: raise ValueError(f"Expecting a list of points but got {points}") return _construct_points(points) def _det(a: Point, b: Point, c: Point) -> float: """ Computes the sign perpendicular distance of a 2d point c from a line segment ab. The sign indicates the direction of c relative to ab. A Positive value means c is above ab (to the left), while a negative value means c is below ab (to the right). 0 means all three points are on a straight line. As a side note, 0.5 * abs|det| is the area of triangle abc Parameters ---------- a: point, the point on the left end of line segment ab b: point, the point on the right end of line segment ab c: point, the point for which the direction and location is desired. Returns -------- det: float, abs(det) is the distance of c from ab. The sign indicates which side of line segment ab c is. det is computed as (a_xb_y + c_xa_y + b_xc_y) - (a_yb_x + c_ya_x + b_yc_x) Examples ---------- >>> _det(Point(1, 1), Point(1, 2), Point(1, 5)) 0.0 >>> _det(Point(0, 0), Point(10, 0), Point(0, 10)) 100.0 >>> _det(Point(0, 0), Point(10, 0), Point(0, -10)) -100.0 """ det = (a.x * b.y + b.x * c.y + c.x * a.y) - (a.y * b.x + b.y * c.x + c.y * a.x) return det def convex_hull_bf(points: List[Point]) -> List[Point]: """ Constructs the convex hull of a set of 2D points using a brute force algorithm. The algorithm basically considers all combinations of points (i, j) and uses the definition of convexity to determine whether (i, j) is part of the convex hull or not. (i, j) is part of the convex hull if and only iff there are no points on both sides of the line segment connecting the ij, and there is no point k such that k is on either end of the ij. Runtime: O(n^3) - definitely horrible Parameters --------- points: array-like of object of Points, lists or tuples. The set of 2d points for which the convex-hull is needed Returns ------ convex_set: list, the convex-hull of points sorted in non-decreasing order. See Also -------- convex_hull_recursive, Examples --------- >>> convex_hull_bf([[0, 0], [1, 0], [10, 1]]) [(0.0, 0.0), (1.0, 0.0), (10.0, 1.0)] >>> convex_hull_bf([[0, 0], [1, 0], [10, 0]]) [(0.0, 0.0), (10.0, 0.0)] >>> convex_hull_bf([[-1, 1],[-1, -1], [0, 0], [0.5, 0.5], [1, -1], [1, 1], ... [-0.75, 1]]) [(-1.0, -1.0), (-1.0, 1.0), (1.0, -1.0), (1.0, 1.0)] >>> convex_hull_bf([(0, 3), (2, 2), (1, 1), (2, 1), (3, 0), (0, 0), (3, 3), ... (2, -1), (2, -4), (1, -3)]) [(0.0, 0.0), (0.0, 3.0), (1.0, -3.0), (2.0, -4.0), (3.0, 0.0), (3.0, 3.0)] """ points = sorted(_validate_input(points)) n = len(points) convex_set = set() for i in range(n - 1): for j in range(i + 1, n): points_left_of_ij = points_right_of_ij = False ij_part_of_convex_hull = True for k in range(n): if k != i and k != j: det_k = _det(points[i], points[j], points[k]) if det_k > 0: points_left_of_ij = True elif det_k < 0: points_right_of_ij = True else: # point[i], point[j], point[k] all lie on a straight line # if point[k] is to the left of point[i] or it's to the # right of point[j], then point[i], point[j] cannot be # part of the convex hull of A if points[k] < points[i] or points[k] > points[j]: ij_part_of_convex_hull = False break if points_left_of_ij and points_right_of_ij: ij_part_of_convex_hull = False break if ij_part_of_convex_hull: convex_set.update([points[i], points[j]]) return sorted(convex_set) def convex_hull_recursive(points: List[Point]) -> List[Point]: """ Constructs the convex hull of a set of 2D points using a divide-and-conquer strategy The algorithm exploits the geometric properties of the problem by repeatedly partitioning the set of points into smaller hulls, and finding the convex hull of these smaller hulls. The union of the convex hull from smaller hulls is the solution to the convex hull of the larger problem. Parameter --------- points: array-like of object of Points, lists or tuples. The set of 2d points for which the convex-hull is needed Runtime: O(n log n) Returns ------- convex_set: list, the convex-hull of points sorted in non-decreasing order. Examples --------- >>> convex_hull_recursive([[0, 0], [1, 0], [10, 1]]) [(0.0, 0.0), (1.0, 0.0), (10.0, 1.0)] >>> convex_hull_recursive([[0, 0], [1, 0], [10, 0]]) [(0.0, 0.0), (10.0, 0.0)] >>> convex_hull_recursive([[-1, 1],[-1, -1], [0, 0], [0.5, 0.5], [1, -1], [1, 1], ... [-0.75, 1]]) [(-1.0, -1.0), (-1.0, 1.0), (1.0, -1.0), (1.0, 1.0)] >>> convex_hull_recursive([(0, 3), (2, 2), (1, 1), (2, 1), (3, 0), (0, 0), (3, 3), ... (2, -1), (2, -4), (1, -3)]) [(0.0, 0.0), (0.0, 3.0), (1.0, -3.0), (2.0, -4.0), (3.0, 0.0), (3.0, 3.0)] """ points = sorted(_validate_input(points)) n = len(points) # divide all the points into an upper hull and a lower hull # the left most point and the right most point are definitely # members of the convex hull by definition. # use these two anchors to divide all the points into two hulls, # an upper hull and a lower hull. # all points to the left (above) the line joining the extreme points belong to the # upper hull # all points to the right (below) the line joining the extreme points below to the # lower hull # ignore all points on the line joining the extreme points since they cannot be # part of the convex hull left_most_point = points[0] right_most_point = points[n - 1] convex_set = {left_most_point, right_most_point} upper_hull = [] lower_hull = [] for i in range(1, n - 1): det = _det(left_most_point, right_most_point, points[i]) if det > 0: upper_hull.append(points[i]) elif det < 0: lower_hull.append(points[i]) _construct_hull(upper_hull, left_most_point, right_most_point, convex_set) _construct_hull(lower_hull, right_most_point, left_most_point, convex_set) return sorted(convex_set) def _construct_hull( points: List[Point], left: Point, right: Point, convex_set: Set[Point] ) -> None: """ Parameters --------- points: list or None, the hull of points from which to choose the next convex-hull point left: Point, the point to the left of line segment joining left and right right: The point to the right of the line segment joining left and right convex_set: set, the current convex-hull. The state of convex-set gets updated by this function Note ---- For the line segment 'ab', 'a' is on the left and 'b' on the right. but the reverse is true for the line segment 'ba'. Returns ------- Nothing, only updates the state of convex-set """ if points: extreme_point = None extreme_point_distance = float("-inf") candidate_points = [] for p in points: det = _det(left, right, p) if det > 0: candidate_points.append(p) if det > extreme_point_distance: extreme_point_distance = det extreme_point = p if extreme_point: _construct_hull(candidate_points, left, extreme_point, convex_set) convex_set.add(extreme_point) _construct_hull(candidate_points, extreme_point, right, convex_set) def convex_hull_melkman(points: List[Point]) -> List[Point]: """ Constructs the convex hull of a set of 2D points using the melkman algorithm. The algorithm works by iteratively inserting points of a simple polygonal chain (meaning that no line segments between two consecutive points cross each other). Sorting the points yields such a polygonal chain. For a detailed description, see http://cgm.cs.mcgill.ca/~athens/cs601/Melkman.html Runtime: O(n log n) - O(n) if points are already sorted in the input Parameters --------- points: array-like of object of Points, lists or tuples. The set of 2d points for which the convex-hull is needed Returns ------ convex_set: list, the convex-hull of points sorted in non-decreasing order. See Also -------- Examples --------- >>> convex_hull_melkman([[0, 0], [1, 0], [10, 1]]) [(0.0, 0.0), (1.0, 0.0), (10.0, 1.0)] >>> convex_hull_melkman([[0, 0], [1, 0], [10, 0]]) [(0.0, 0.0), (10.0, 0.0)] >>> convex_hull_melkman([[-1, 1],[-1, -1], [0, 0], [0.5, 0.5], [1, -1], [1, 1], ... [-0.75, 1]]) [(-1.0, -1.0), (-1.0, 1.0), (1.0, -1.0), (1.0, 1.0)] >>> convex_hull_melkman([(0, 3), (2, 2), (1, 1), (2, 1), (3, 0), (0, 0), (3, 3), ... (2, -1), (2, -4), (1, -3)]) [(0.0, 0.0), (0.0, 3.0), (1.0, -3.0), (2.0, -4.0), (3.0, 0.0), (3.0, 3.0)] """ points = sorted(_validate_input(points)) n = len(points) convex_hull = points[:2] for i in range(2, n): det = _det(convex_hull[1], convex_hull[0], points[i]) if det > 0: convex_hull.insert(0, points[i]) break elif det < 0: convex_hull.append(points[i]) break else: convex_hull[1] = points[i] i += 1 for i in range(i, n): if ( _det(convex_hull[0], convex_hull[-1], points[i]) > 0 and _det(convex_hull[-1], convex_hull[0], points[1]) < 0 ): # The point lies within the convex hull continue convex_hull.insert(0, points[i]) convex_hull.append(points[i]) while _det(convex_hull[0], convex_hull[1], convex_hull[2]) >= 0: del convex_hull[1] while _det(convex_hull[-1], convex_hull[-2], convex_hull[-3]) <= 0: del convex_hull[-2] # `convex_hull` is contains the convex hull in circular order return sorted(convex_hull[1:] if len(convex_hull) > 3 else convex_hull) def main(): points = [ (0, 3), (2, 2), (1, 1), (2, 1), (3, 0), (0, 0), (3, 3), (2, -1), (2, -4), (1, -3), ] # the convex set of points is # [(0, 0), (0, 3), (1, -3), (2, -4), (3, 0), (3, 3)] results_bf = convex_hull_bf(points) results_recursive = convex_hull_recursive(points) assert results_bf == results_recursive results_melkman = convex_hull_melkman(points) assert results_bf == results_melkman print(results_bf) if __name__ == "__main__": main()
""" The convex hull problem is problem of finding all the vertices of convex polygon, P of a set of points in a plane such that all the points are either on the vertices of P or inside P. TH convex hull problem has several applications in geometrical problems, computer graphics and game development. Two algorithms have been implemented for the convex hull problem here. 1. A brute-force algorithm which runs in O(n^3) 2. A divide-and-conquer algorithm which runs in O(n log(n)) There are other several other algorithms for the convex hull problem which have not been implemented here, yet. """ from typing import Iterable, List, Set, Union class Point: """ Defines a 2-d point for use by all convex-hull algorithms. Parameters ---------- x: an int or a float, the x-coordinate of the 2-d point y: an int or a float, the y-coordinate of the 2-d point Examples -------- >>> Point(1, 2) (1.0, 2.0) >>> Point("1", "2") (1.0, 2.0) >>> Point(1, 2) > Point(0, 1) True >>> Point(1, 1) == Point(1, 1) True >>> Point(-0.5, 1) == Point(0.5, 1) False >>> Point("pi", "e") Traceback (most recent call last): ... ValueError: could not convert string to float: 'pi' """ def __init__(self, x, y): self.x, self.y = float(x), float(y) def __eq__(self, other): return self.x == other.x and self.y == other.y def __ne__(self, other): return not self == other def __gt__(self, other): if self.x > other.x: return True elif self.x == other.x: return self.y > other.y return False def __lt__(self, other): return not self > other def __ge__(self, other): if self.x > other.x: return True elif self.x == other.x: return self.y >= other.y return False def __le__(self, other): if self.x < other.x: return True elif self.x == other.x: return self.y <= other.y return False def __repr__(self): return f"({self.x}, {self.y})" def __hash__(self): return hash(self.x) def _construct_points( list_of_tuples: Union[List[Point], List[List[float]], Iterable[List[float]]] ) -> List[Point]: """ constructs a list of points from an array-like object of numbers Arguments --------- list_of_tuples: array-like object of type numbers. Acceptable types so far are lists, tuples and sets. Returns -------- points: a list where each item is of type Point. This contains only objects which can be converted into a Point. Examples ------- >>> _construct_points([[1, 1], [2, -1], [0.3, 4]]) [(1.0, 1.0), (2.0, -1.0), (0.3, 4.0)] >>> _construct_points([1, 2]) Ignoring deformed point 1. All points must have at least 2 coordinates. Ignoring deformed point 2. All points must have at least 2 coordinates. [] >>> _construct_points([]) [] >>> _construct_points(None) [] """ points: List[Point] = [] if list_of_tuples: for p in list_of_tuples: if isinstance(p, Point): points.append(p) else: try: points.append(Point(p[0], p[1])) except (IndexError, TypeError): print( f"Ignoring deformed point {p}. All points" " must have at least 2 coordinates." ) return points def _validate_input(points: Union[List[Point], List[List[float]]]) -> List[Point]: """ validates an input instance before a convex-hull algorithms uses it Parameters --------- points: array-like, the 2d points to validate before using with a convex-hull algorithm. The elements of points must be either lists, tuples or Points. Returns ------- points: array_like, an iterable of all well-defined Points constructed passed in. Exception --------- ValueError: if points is empty or None, or if a wrong data structure like a scalar is passed TypeError: if an iterable but non-indexable object (eg. dictionary) is passed. The exception to this a set which we'll convert to a list before using Examples ------- >>> _validate_input([[1, 2]]) [(1.0, 2.0)] >>> _validate_input([(1, 2)]) [(1.0, 2.0)] >>> _validate_input([Point(2, 1), Point(-1, 2)]) [(2.0, 1.0), (-1.0, 2.0)] >>> _validate_input([]) Traceback (most recent call last): ... ValueError: Expecting a list of points but got [] >>> _validate_input(1) Traceback (most recent call last): ... ValueError: Expecting an iterable object but got an non-iterable type 1 """ if not hasattr(points, "__iter__"): raise ValueError( f"Expecting an iterable object but got an non-iterable type {points}" ) if not points: raise ValueError(f"Expecting a list of points but got {points}") return _construct_points(points) def _det(a: Point, b: Point, c: Point) -> float: """ Computes the sign perpendicular distance of a 2d point c from a line segment ab. The sign indicates the direction of c relative to ab. A Positive value means c is above ab (to the left), while a negative value means c is below ab (to the right). 0 means all three points are on a straight line. As a side note, 0.5 * abs|det| is the area of triangle abc Parameters ---------- a: point, the point on the left end of line segment ab b: point, the point on the right end of line segment ab c: point, the point for which the direction and location is desired. Returns -------- det: float, abs(det) is the distance of c from ab. The sign indicates which side of line segment ab c is. det is computed as (a_xb_y + c_xa_y + b_xc_y) - (a_yb_x + c_ya_x + b_yc_x) Examples ---------- >>> _det(Point(1, 1), Point(1, 2), Point(1, 5)) 0.0 >>> _det(Point(0, 0), Point(10, 0), Point(0, 10)) 100.0 >>> _det(Point(0, 0), Point(10, 0), Point(0, -10)) -100.0 """ det = (a.x * b.y + b.x * c.y + c.x * a.y) - (a.y * b.x + b.y * c.x + c.y * a.x) return det def convex_hull_bf(points: List[Point]) -> List[Point]: """ Constructs the convex hull of a set of 2D points using a brute force algorithm. The algorithm basically considers all combinations of points (i, j) and uses the definition of convexity to determine whether (i, j) is part of the convex hull or not. (i, j) is part of the convex hull if and only iff there are no points on both sides of the line segment connecting the ij, and there is no point k such that k is on either end of the ij. Runtime: O(n^3) - definitely horrible Parameters --------- points: array-like of object of Points, lists or tuples. The set of 2d points for which the convex-hull is needed Returns ------ convex_set: list, the convex-hull of points sorted in non-decreasing order. See Also -------- convex_hull_recursive, Examples --------- >>> convex_hull_bf([[0, 0], [1, 0], [10, 1]]) [(0.0, 0.0), (1.0, 0.0), (10.0, 1.0)] >>> convex_hull_bf([[0, 0], [1, 0], [10, 0]]) [(0.0, 0.0), (10.0, 0.0)] >>> convex_hull_bf([[-1, 1],[-1, -1], [0, 0], [0.5, 0.5], [1, -1], [1, 1], ... [-0.75, 1]]) [(-1.0, -1.0), (-1.0, 1.0), (1.0, -1.0), (1.0, 1.0)] >>> convex_hull_bf([(0, 3), (2, 2), (1, 1), (2, 1), (3, 0), (0, 0), (3, 3), ... (2, -1), (2, -4), (1, -3)]) [(0.0, 0.0), (0.0, 3.0), (1.0, -3.0), (2.0, -4.0), (3.0, 0.0), (3.0, 3.0)] """ points = sorted(_validate_input(points)) n = len(points) convex_set = set() for i in range(n - 1): for j in range(i + 1, n): points_left_of_ij = points_right_of_ij = False ij_part_of_convex_hull = True for k in range(n): if k != i and k != j: det_k = _det(points[i], points[j], points[k]) if det_k > 0: points_left_of_ij = True elif det_k < 0: points_right_of_ij = True else: # point[i], point[j], point[k] all lie on a straight line # if point[k] is to the left of point[i] or it's to the # right of point[j], then point[i], point[j] cannot be # part of the convex hull of A if points[k] < points[i] or points[k] > points[j]: ij_part_of_convex_hull = False break if points_left_of_ij and points_right_of_ij: ij_part_of_convex_hull = False break if ij_part_of_convex_hull: convex_set.update([points[i], points[j]]) return sorted(convex_set) def convex_hull_recursive(points: List[Point]) -> List[Point]: """ Constructs the convex hull of a set of 2D points using a divide-and-conquer strategy The algorithm exploits the geometric properties of the problem by repeatedly partitioning the set of points into smaller hulls, and finding the convex hull of these smaller hulls. The union of the convex hull from smaller hulls is the solution to the convex hull of the larger problem. Parameter --------- points: array-like of object of Points, lists or tuples. The set of 2d points for which the convex-hull is needed Runtime: O(n log n) Returns ------- convex_set: list, the convex-hull of points sorted in non-decreasing order. Examples --------- >>> convex_hull_recursive([[0, 0], [1, 0], [10, 1]]) [(0.0, 0.0), (1.0, 0.0), (10.0, 1.0)] >>> convex_hull_recursive([[0, 0], [1, 0], [10, 0]]) [(0.0, 0.0), (10.0, 0.0)] >>> convex_hull_recursive([[-1, 1],[-1, -1], [0, 0], [0.5, 0.5], [1, -1], [1, 1], ... [-0.75, 1]]) [(-1.0, -1.0), (-1.0, 1.0), (1.0, -1.0), (1.0, 1.0)] >>> convex_hull_recursive([(0, 3), (2, 2), (1, 1), (2, 1), (3, 0), (0, 0), (3, 3), ... (2, -1), (2, -4), (1, -3)]) [(0.0, 0.0), (0.0, 3.0), (1.0, -3.0), (2.0, -4.0), (3.0, 0.0), (3.0, 3.0)] """ points = sorted(_validate_input(points)) n = len(points) # divide all the points into an upper hull and a lower hull # the left most point and the right most point are definitely # members of the convex hull by definition. # use these two anchors to divide all the points into two hulls, # an upper hull and a lower hull. # all points to the left (above) the line joining the extreme points belong to the # upper hull # all points to the right (below) the line joining the extreme points below to the # lower hull # ignore all points on the line joining the extreme points since they cannot be # part of the convex hull left_most_point = points[0] right_most_point = points[n - 1] convex_set = {left_most_point, right_most_point} upper_hull = [] lower_hull = [] for i in range(1, n - 1): det = _det(left_most_point, right_most_point, points[i]) if det > 0: upper_hull.append(points[i]) elif det < 0: lower_hull.append(points[i]) _construct_hull(upper_hull, left_most_point, right_most_point, convex_set) _construct_hull(lower_hull, right_most_point, left_most_point, convex_set) return sorted(convex_set) def _construct_hull( points: List[Point], left: Point, right: Point, convex_set: Set[Point] ) -> None: """ Parameters --------- points: list or None, the hull of points from which to choose the next convex-hull point left: Point, the point to the left of line segment joining left and right right: The point to the right of the line segment joining left and right convex_set: set, the current convex-hull. The state of convex-set gets updated by this function Note ---- For the line segment 'ab', 'a' is on the left and 'b' on the right. but the reverse is true for the line segment 'ba'. Returns ------- Nothing, only updates the state of convex-set """ if points: extreme_point = None extreme_point_distance = float("-inf") candidate_points = [] for p in points: det = _det(left, right, p) if det > 0: candidate_points.append(p) if det > extreme_point_distance: extreme_point_distance = det extreme_point = p if extreme_point: _construct_hull(candidate_points, left, extreme_point, convex_set) convex_set.add(extreme_point) _construct_hull(candidate_points, extreme_point, right, convex_set) def convex_hull_melkman(points: List[Point]) -> List[Point]: """ Constructs the convex hull of a set of 2D points using the melkman algorithm. The algorithm works by iteratively inserting points of a simple polygonal chain (meaning that no line segments between two consecutive points cross each other). Sorting the points yields such a polygonal chain. For a detailed description, see http://cgm.cs.mcgill.ca/~athens/cs601/Melkman.html Runtime: O(n log n) - O(n) if points are already sorted in the input Parameters --------- points: array-like of object of Points, lists or tuples. The set of 2d points for which the convex-hull is needed Returns ------ convex_set: list, the convex-hull of points sorted in non-decreasing order. See Also -------- Examples --------- >>> convex_hull_melkman([[0, 0], [1, 0], [10, 1]]) [(0.0, 0.0), (1.0, 0.0), (10.0, 1.0)] >>> convex_hull_melkman([[0, 0], [1, 0], [10, 0]]) [(0.0, 0.0), (10.0, 0.0)] >>> convex_hull_melkman([[-1, 1],[-1, -1], [0, 0], [0.5, 0.5], [1, -1], [1, 1], ... [-0.75, 1]]) [(-1.0, -1.0), (-1.0, 1.0), (1.0, -1.0), (1.0, 1.0)] >>> convex_hull_melkman([(0, 3), (2, 2), (1, 1), (2, 1), (3, 0), (0, 0), (3, 3), ... (2, -1), (2, -4), (1, -3)]) [(0.0, 0.0), (0.0, 3.0), (1.0, -3.0), (2.0, -4.0), (3.0, 0.0), (3.0, 3.0)] """ points = sorted(_validate_input(points)) n = len(points) convex_hull = points[:2] for i in range(2, n): det = _det(convex_hull[1], convex_hull[0], points[i]) if det > 0: convex_hull.insert(0, points[i]) break elif det < 0: convex_hull.append(points[i]) break else: convex_hull[1] = points[i] i += 1 for i in range(i, n): if ( _det(convex_hull[0], convex_hull[-1], points[i]) > 0 and _det(convex_hull[-1], convex_hull[0], points[1]) < 0 ): # The point lies within the convex hull continue convex_hull.insert(0, points[i]) convex_hull.append(points[i]) while _det(convex_hull[0], convex_hull[1], convex_hull[2]) >= 0: del convex_hull[1] while _det(convex_hull[-1], convex_hull[-2], convex_hull[-3]) <= 0: del convex_hull[-2] # `convex_hull` is contains the convex hull in circular order return sorted(convex_hull[1:] if len(convex_hull) > 3 else convex_hull) def main(): points = [ (0, 3), (2, 2), (1, 1), (2, 1), (3, 0), (0, 0), (3, 3), (2, -1), (2, -4), (1, -3), ] # the convex set of points is # [(0, 0), (0, 3), (1, -3), (2, -4), (3, 0), (3, 3)] results_bf = convex_hull_bf(points) results_recursive = convex_hull_recursive(points) assert results_bf == results_recursive results_melkman = convex_hull_melkman(points) assert results_bf == results_melkman print(results_bf) if __name__ == "__main__": main()
-1
TheAlgorithms/Python
4,278
fix(mypy): Fix annotations for 13 cipher algorithms
Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
dhruvmanila
"2021-03-20T09:09:15Z"
"2021-03-22T06:59:51Z"
99a42f2b5821356718fb7d011ac711a6b4a63a83
14bcb580d55ee90614ad258ea31ef8fe4e4b5c40
fix(mypy): Fix annotations for 13 cipher algorithms. Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
-1
TheAlgorithms/Python
4,278
fix(mypy): Fix annotations for 13 cipher algorithms
Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
dhruvmanila
"2021-03-20T09:09:15Z"
"2021-03-22T06:59:51Z"
99a42f2b5821356718fb7d011ac711a6b4a63a83
14bcb580d55ee90614ad258ea31ef8fe4e4b5c40
fix(mypy): Fix annotations for 13 cipher algorithms. Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
-1
TheAlgorithms/Python
4,278
fix(mypy): Fix annotations for 13 cipher algorithms
Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
dhruvmanila
"2021-03-20T09:09:15Z"
"2021-03-22T06:59:51Z"
99a42f2b5821356718fb7d011ac711a6b4a63a83
14bcb580d55ee90614ad258ea31ef8fe4e4b5c40
fix(mypy): Fix annotations for 13 cipher algorithms. Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
import math class SegmentTree: def __init__(self, A): self.N = len(A) self.st = [0] * ( 4 * self.N ) # approximate the overall size of segment tree with array N self.build(1, 0, self.N - 1) def left(self, idx): return idx * 2 def right(self, idx): return idx * 2 + 1 def build(self, idx, l, r): # noqa: E741 if l == r: # noqa: E741 self.st[idx] = A[l] else: mid = (l + r) // 2 self.build(self.left(idx), l, mid) self.build(self.right(idx), mid + 1, r) self.st[idx] = max(self.st[self.left(idx)], self.st[self.right(idx)]) def update(self, a, b, val): return self.update_recursive(1, 0, self.N - 1, a - 1, b - 1, val) def update_recursive(self, idx, l, r, a, b, val): # noqa: E741 """ update(1, 1, N, a, b, v) for update val v to [a,b] """ if r < a or l > b: return True if l == r: # noqa: E741 self.st[idx] = val return True mid = (l + r) // 2 self.update_recursive(self.left(idx), l, mid, a, b, val) self.update_recursive(self.right(idx), mid + 1, r, a, b, val) self.st[idx] = max(self.st[self.left(idx)], self.st[self.right(idx)]) return True def query(self, a, b): return self.query_recursive(1, 0, self.N - 1, a - 1, b - 1) def query_recursive(self, idx, l, r, a, b): # noqa: E741 """ query(1, 1, N, a, b) for query max of [a,b] """ if r < a or l > b: return -math.inf if l >= a and r <= b: # noqa: E741 return self.st[idx] mid = (l + r) // 2 q1 = self.query_recursive(self.left(idx), l, mid, a, b) q2 = self.query_recursive(self.right(idx), mid + 1, r, a, b) return max(q1, q2) def showData(self): showList = [] for i in range(1, N + 1): showList += [self.query(i, i)] print(showList) if __name__ == "__main__": A = [1, 2, -4, 7, 3, -5, 6, 11, -20, 9, 14, 15, 5, 2, -8] N = 15 segt = SegmentTree(A) print(segt.query(4, 6)) print(segt.query(7, 11)) print(segt.query(7, 12)) segt.update(1, 3, 111) print(segt.query(1, 15)) segt.update(7, 8, 235) segt.showData()
import math class SegmentTree: def __init__(self, A): self.N = len(A) self.st = [0] * ( 4 * self.N ) # approximate the overall size of segment tree with array N self.build(1, 0, self.N - 1) def left(self, idx): return idx * 2 def right(self, idx): return idx * 2 + 1 def build(self, idx, l, r): # noqa: E741 if l == r: # noqa: E741 self.st[idx] = A[l] else: mid = (l + r) // 2 self.build(self.left(idx), l, mid) self.build(self.right(idx), mid + 1, r) self.st[idx] = max(self.st[self.left(idx)], self.st[self.right(idx)]) def update(self, a, b, val): return self.update_recursive(1, 0, self.N - 1, a - 1, b - 1, val) def update_recursive(self, idx, l, r, a, b, val): # noqa: E741 """ update(1, 1, N, a, b, v) for update val v to [a,b] """ if r < a or l > b: return True if l == r: # noqa: E741 self.st[idx] = val return True mid = (l + r) // 2 self.update_recursive(self.left(idx), l, mid, a, b, val) self.update_recursive(self.right(idx), mid + 1, r, a, b, val) self.st[idx] = max(self.st[self.left(idx)], self.st[self.right(idx)]) return True def query(self, a, b): return self.query_recursive(1, 0, self.N - 1, a - 1, b - 1) def query_recursive(self, idx, l, r, a, b): # noqa: E741 """ query(1, 1, N, a, b) for query max of [a,b] """ if r < a or l > b: return -math.inf if l >= a and r <= b: # noqa: E741 return self.st[idx] mid = (l + r) // 2 q1 = self.query_recursive(self.left(idx), l, mid, a, b) q2 = self.query_recursive(self.right(idx), mid + 1, r, a, b) return max(q1, q2) def showData(self): showList = [] for i in range(1, N + 1): showList += [self.query(i, i)] print(showList) if __name__ == "__main__": A = [1, 2, -4, 7, 3, -5, 6, 11, -20, 9, 14, 15, 5, 2, -8] N = 15 segt = SegmentTree(A) print(segt.query(4, 6)) print(segt.query(7, 11)) print(segt.query(7, 12)) segt.update(1, 3, 111) print(segt.query(1, 15)) segt.update(7, 8, 235) segt.showData()
-1
TheAlgorithms/Python
4,278
fix(mypy): Fix annotations for 13 cipher algorithms
Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
dhruvmanila
"2021-03-20T09:09:15Z"
"2021-03-22T06:59:51Z"
99a42f2b5821356718fb7d011ac711a6b4a63a83
14bcb580d55ee90614ad258ea31ef8fe4e4b5c40
fix(mypy): Fix annotations for 13 cipher algorithms. Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
-1
TheAlgorithms/Python
4,278
fix(mypy): Fix annotations for 13 cipher algorithms
Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
dhruvmanila
"2021-03-20T09:09:15Z"
"2021-03-22T06:59:51Z"
99a42f2b5821356718fb7d011ac711a6b4a63a83
14bcb580d55ee90614ad258ea31ef8fe4e4b5c40
fix(mypy): Fix annotations for 13 cipher algorithms. Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
""" In this problem, we want to rotate the matrix elements by 90, 180, 270 (counterclockwise) Discussion in stackoverflow: https://stackoverflow.com/questions/42519/how-do-you-rotate-a-two-dimensional-array """ from __future__ import annotations def make_matrix(row_size: int = 4) -> list[list]: """ >>> make_matrix() [[1, 2, 3, 4], [5, 6, 7, 8], [9, 10, 11, 12], [13, 14, 15, 16]] >>> make_matrix(1) [[1]] >>> make_matrix(-2) [[1, 2], [3, 4]] >>> make_matrix(3) [[1, 2, 3], [4, 5, 6], [7, 8, 9]] >>> make_matrix() == make_matrix(4) True """ row_size = abs(row_size) or 4 return [[1 + x + y * row_size for x in range(row_size)] for y in range(row_size)] def rotate_90(matrix: list[list]) -> list[list]: """ >>> rotate_90(make_matrix()) [[4, 8, 12, 16], [3, 7, 11, 15], [2, 6, 10, 14], [1, 5, 9, 13]] >>> rotate_90(make_matrix()) == transpose(reverse_column(make_matrix())) True """ return reverse_row(transpose(matrix)) # OR.. transpose(reverse_column(matrix)) def rotate_180(matrix: list[list]) -> list[list]: """ >>> rotate_180(make_matrix()) [[16, 15, 14, 13], [12, 11, 10, 9], [8, 7, 6, 5], [4, 3, 2, 1]] >>> rotate_180(make_matrix()) == reverse_column(reverse_row(make_matrix())) True """ return reverse_row(reverse_column(matrix)) # OR.. reverse_column(reverse_row(matrix)) def rotate_270(matrix: list[list]) -> list[list]: """ >>> rotate_270(make_matrix()) [[13, 9, 5, 1], [14, 10, 6, 2], [15, 11, 7, 3], [16, 12, 8, 4]] >>> rotate_270(make_matrix()) == transpose(reverse_row(make_matrix())) True """ return reverse_column(transpose(matrix)) # OR.. transpose(reverse_row(matrix)) def transpose(matrix: list[list]) -> list[list]: matrix[:] = [list(x) for x in zip(*matrix)] return matrix def reverse_row(matrix: list[list]) -> list[list]: matrix[:] = matrix[::-1] return matrix def reverse_column(matrix: list[list]) -> list[list]: matrix[:] = [x[::-1] for x in matrix] return matrix def print_matrix(matrix: list[list]) -> None: for i in matrix: print(*i) if __name__ == "__main__": matrix = make_matrix() print("\norigin:\n") print_matrix(matrix) print("\nrotate 90 counterclockwise:\n") print_matrix(rotate_90(matrix)) matrix = make_matrix() print("\norigin:\n") print_matrix(matrix) print("\nrotate 180:\n") print_matrix(rotate_180(matrix)) matrix = make_matrix() print("\norigin:\n") print_matrix(matrix) print("\nrotate 270 counterclockwise:\n") print_matrix(rotate_270(matrix))
""" In this problem, we want to rotate the matrix elements by 90, 180, 270 (counterclockwise) Discussion in stackoverflow: https://stackoverflow.com/questions/42519/how-do-you-rotate-a-two-dimensional-array """ from __future__ import annotations def make_matrix(row_size: int = 4) -> list[list]: """ >>> make_matrix() [[1, 2, 3, 4], [5, 6, 7, 8], [9, 10, 11, 12], [13, 14, 15, 16]] >>> make_matrix(1) [[1]] >>> make_matrix(-2) [[1, 2], [3, 4]] >>> make_matrix(3) [[1, 2, 3], [4, 5, 6], [7, 8, 9]] >>> make_matrix() == make_matrix(4) True """ row_size = abs(row_size) or 4 return [[1 + x + y * row_size for x in range(row_size)] for y in range(row_size)] def rotate_90(matrix: list[list]) -> list[list]: """ >>> rotate_90(make_matrix()) [[4, 8, 12, 16], [3, 7, 11, 15], [2, 6, 10, 14], [1, 5, 9, 13]] >>> rotate_90(make_matrix()) == transpose(reverse_column(make_matrix())) True """ return reverse_row(transpose(matrix)) # OR.. transpose(reverse_column(matrix)) def rotate_180(matrix: list[list]) -> list[list]: """ >>> rotate_180(make_matrix()) [[16, 15, 14, 13], [12, 11, 10, 9], [8, 7, 6, 5], [4, 3, 2, 1]] >>> rotate_180(make_matrix()) == reverse_column(reverse_row(make_matrix())) True """ return reverse_row(reverse_column(matrix)) # OR.. reverse_column(reverse_row(matrix)) def rotate_270(matrix: list[list]) -> list[list]: """ >>> rotate_270(make_matrix()) [[13, 9, 5, 1], [14, 10, 6, 2], [15, 11, 7, 3], [16, 12, 8, 4]] >>> rotate_270(make_matrix()) == transpose(reverse_row(make_matrix())) True """ return reverse_column(transpose(matrix)) # OR.. transpose(reverse_row(matrix)) def transpose(matrix: list[list]) -> list[list]: matrix[:] = [list(x) for x in zip(*matrix)] return matrix def reverse_row(matrix: list[list]) -> list[list]: matrix[:] = matrix[::-1] return matrix def reverse_column(matrix: list[list]) -> list[list]: matrix[:] = [x[::-1] for x in matrix] return matrix def print_matrix(matrix: list[list]) -> None: for i in matrix: print(*i) if __name__ == "__main__": matrix = make_matrix() print("\norigin:\n") print_matrix(matrix) print("\nrotate 90 counterclockwise:\n") print_matrix(rotate_90(matrix)) matrix = make_matrix() print("\norigin:\n") print_matrix(matrix) print("\nrotate 180:\n") print_matrix(rotate_180(matrix)) matrix = make_matrix() print("\norigin:\n") print_matrix(matrix) print("\nrotate 270 counterclockwise:\n") print_matrix(rotate_270(matrix))
-1
TheAlgorithms/Python
4,278
fix(mypy): Fix annotations for 13 cipher algorithms
Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
dhruvmanila
"2021-03-20T09:09:15Z"
"2021-03-22T06:59:51Z"
99a42f2b5821356718fb7d011ac711a6b4a63a83
14bcb580d55ee90614ad258ea31ef8fe4e4b5c40
fix(mypy): Fix annotations for 13 cipher algorithms. Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
# https://en.wikipedia.org/wiki/Continuous_knapsack_problem # https://www.guru99.com/fractional-knapsack-problem-greedy.html # https://medium.com/walkinthecode/greedy-algorithm-fractional-knapsack-problem-9aba1daecc93 from __future__ import annotations def fractional_knapsack( value: list[int], weight: list[int], capacity: int ) -> tuple[int, list[int]]: """ >>> value = [1, 3, 5, 7, 9] >>> weight = [0.9, 0.7, 0.5, 0.3, 0.1] >>> fractional_knapsack(value, weight, 5) (25, [1, 1, 1, 1, 1]) >>> fractional_knapsack(value, weight, 15) (25, [1, 1, 1, 1, 1]) >>> fractional_knapsack(value, weight, 25) (25, [1, 1, 1, 1, 1]) >>> fractional_knapsack(value, weight, 26) (25, [1, 1, 1, 1, 1]) >>> fractional_knapsack(value, weight, -1) (-90.0, [0, 0, 0, 0, -10.0]) >>> fractional_knapsack([1, 3, 5, 7], weight, 30) (16, [1, 1, 1, 1]) >>> fractional_knapsack(value, [0.9, 0.7, 0.5, 0.3, 0.1], 30) (25, [1, 1, 1, 1, 1]) >>> fractional_knapsack([], [], 30) (0, []) """ index = list(range(len(value))) ratio = [v / w for v, w in zip(value, weight)] index.sort(key=lambda i: ratio[i], reverse=True) max_value = 0 fractions = [0] * len(value) for i in index: if weight[i] <= capacity: fractions[i] = 1 max_value += value[i] capacity -= weight[i] else: fractions[i] = capacity / weight[i] max_value += value[i] * capacity / weight[i] break return max_value, fractions if __name__ == "__main__": n = int(input("Enter number of items: ")) value = input(f"Enter the values of the {n} item(s) in order: ").split() value = [int(v) for v in value] weight = input(f"Enter the positive weights of the {n} item(s) in order: ".split()) weight = [int(w) for w in weight] capacity = int(input("Enter maximum weight: ")) max_value, fractions = fractional_knapsack(value, weight, capacity) print("The maximum value of items that can be carried:", max_value) print("The fractions in which the items should be taken:", fractions)
# https://en.wikipedia.org/wiki/Continuous_knapsack_problem # https://www.guru99.com/fractional-knapsack-problem-greedy.html # https://medium.com/walkinthecode/greedy-algorithm-fractional-knapsack-problem-9aba1daecc93 from __future__ import annotations def fractional_knapsack( value: list[int], weight: list[int], capacity: int ) -> tuple[int, list[int]]: """ >>> value = [1, 3, 5, 7, 9] >>> weight = [0.9, 0.7, 0.5, 0.3, 0.1] >>> fractional_knapsack(value, weight, 5) (25, [1, 1, 1, 1, 1]) >>> fractional_knapsack(value, weight, 15) (25, [1, 1, 1, 1, 1]) >>> fractional_knapsack(value, weight, 25) (25, [1, 1, 1, 1, 1]) >>> fractional_knapsack(value, weight, 26) (25, [1, 1, 1, 1, 1]) >>> fractional_knapsack(value, weight, -1) (-90.0, [0, 0, 0, 0, -10.0]) >>> fractional_knapsack([1, 3, 5, 7], weight, 30) (16, [1, 1, 1, 1]) >>> fractional_knapsack(value, [0.9, 0.7, 0.5, 0.3, 0.1], 30) (25, [1, 1, 1, 1, 1]) >>> fractional_knapsack([], [], 30) (0, []) """ index = list(range(len(value))) ratio = [v / w for v, w in zip(value, weight)] index.sort(key=lambda i: ratio[i], reverse=True) max_value = 0 fractions = [0] * len(value) for i in index: if weight[i] <= capacity: fractions[i] = 1 max_value += value[i] capacity -= weight[i] else: fractions[i] = capacity / weight[i] max_value += value[i] * capacity / weight[i] break return max_value, fractions if __name__ == "__main__": n = int(input("Enter number of items: ")) value = input(f"Enter the values of the {n} item(s) in order: ").split() value = [int(v) for v in value] weight = input(f"Enter the positive weights of the {n} item(s) in order: ".split()) weight = [int(w) for w in weight] capacity = int(input("Enter maximum weight: ")) max_value, fractions = fractional_knapsack(value, weight, capacity) print("The maximum value of items that can be carried:", max_value) print("The fractions in which the items should be taken:", fractions)
-1
TheAlgorithms/Python
4,278
fix(mypy): Fix annotations for 13 cipher algorithms
Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
dhruvmanila
"2021-03-20T09:09:15Z"
"2021-03-22T06:59:51Z"
99a42f2b5821356718fb7d011ac711a6b4a63a83
14bcb580d55ee90614ad258ea31ef8fe4e4b5c40
fix(mypy): Fix annotations for 13 cipher algorithms. Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
import math def perfect_square(num: int) -> bool: """ Check if a number is perfect square number or not :param num: the number to be checked :return: True if number is square number, otherwise False >>> perfect_square(9) True >>> perfect_square(16) True >>> perfect_square(1) True >>> perfect_square(0) True >>> perfect_square(10) False """ return math.sqrt(num) * math.sqrt(num) == num def perfect_square_binary_search(n: int) -> bool: """ Check if a number is perfect square using binary search. Time complexity : O(Log(n)) Space complexity: O(1) >>> perfect_square_binary_search(9) True >>> perfect_square_binary_search(16) True >>> perfect_square_binary_search(1) True >>> perfect_square_binary_search(0) True >>> perfect_square_binary_search(10) False >>> perfect_square_binary_search(-1) False >>> perfect_square_binary_search(1.1) False >>> perfect_square_binary_search("a") Traceback (most recent call last): ... TypeError: '<=' not supported between instances of 'int' and 'str' >>> perfect_square_binary_search(None) Traceback (most recent call last): ... TypeError: '<=' not supported between instances of 'int' and 'NoneType' >>> perfect_square_binary_search([]) Traceback (most recent call last): ... TypeError: '<=' not supported between instances of 'int' and 'list' """ left = 0 right = n while left <= right: mid = (left + right) // 2 if mid ** 2 == n: return True elif mid ** 2 > n: right = mid - 1 else: left = mid + 1 return False if __name__ == "__main__": import doctest doctest.testmod()
import math def perfect_square(num: int) -> bool: """ Check if a number is perfect square number or not :param num: the number to be checked :return: True if number is square number, otherwise False >>> perfect_square(9) True >>> perfect_square(16) True >>> perfect_square(1) True >>> perfect_square(0) True >>> perfect_square(10) False """ return math.sqrt(num) * math.sqrt(num) == num def perfect_square_binary_search(n: int) -> bool: """ Check if a number is perfect square using binary search. Time complexity : O(Log(n)) Space complexity: O(1) >>> perfect_square_binary_search(9) True >>> perfect_square_binary_search(16) True >>> perfect_square_binary_search(1) True >>> perfect_square_binary_search(0) True >>> perfect_square_binary_search(10) False >>> perfect_square_binary_search(-1) False >>> perfect_square_binary_search(1.1) False >>> perfect_square_binary_search("a") Traceback (most recent call last): ... TypeError: '<=' not supported between instances of 'int' and 'str' >>> perfect_square_binary_search(None) Traceback (most recent call last): ... TypeError: '<=' not supported between instances of 'int' and 'NoneType' >>> perfect_square_binary_search([]) Traceback (most recent call last): ... TypeError: '<=' not supported between instances of 'int' and 'list' """ left = 0 right = n while left <= right: mid = (left + right) // 2 if mid ** 2 == n: return True elif mid ** 2 > n: right = mid - 1 else: left = mid + 1 return False if __name__ == "__main__": import doctest doctest.testmod()
-1
TheAlgorithms/Python
4,278
fix(mypy): Fix annotations for 13 cipher algorithms
Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
dhruvmanila
"2021-03-20T09:09:15Z"
"2021-03-22T06:59:51Z"
99a42f2b5821356718fb7d011ac711a6b4a63a83
14bcb580d55ee90614ad258ea31ef8fe4e4b5c40
fix(mypy): Fix annotations for 13 cipher algorithms. Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
""" Hey, we are going to find an exciting number called Catalan number which is use to find the number of possible binary search trees from tree of a given number of nodes. We will use the formula: t(n) = SUMMATION(i = 1 to n)t(i-1)t(n-i) Further details at Wikipedia: https://en.wikipedia.org/wiki/Catalan_number """ """ Our Contribution: Basically we Create the 2 function: 1. catalan_number(node_count: int) -> int Returns the number of possible binary search trees for n nodes. 2. binary_tree_count(node_count: int) -> int Returns the number of possible binary trees for n nodes. """ def binomial_coefficient(n: int, k: int) -> int: """ Since Here we Find the Binomial Coefficient: https://en.wikipedia.org/wiki/Binomial_coefficient C(n,k) = n! / k!(n-k)! :param n: 2 times of Number of nodes :param k: Number of nodes :return: Integer Value >>> binomial_coefficient(4, 2) 6 """ result = 1 # To kept the Calculated Value # Since C(n, k) = C(n, n-k) if k > (n - k): k = n - k # Calculate C(n,k) for i in range(k): result *= n - i result //= i + 1 return result def catalan_number(node_count: int) -> int: """ We can find Catalan number many ways but here we use Binomial Coefficient because it does the job in O(n) return the Catalan number of n using 2nCn/(n+1). :param n: number of nodes :return: Catalan number of n nodes >>> catalan_number(5) 42 >>> catalan_number(6) 132 """ return binomial_coefficient(2 * node_count, node_count) // (node_count + 1) def factorial(n: int) -> int: """ Return the factorial of a number. :param n: Number to find the Factorial of. :return: Factorial of n. >>> import math >>> all(factorial(i) == math.factorial(i) for i in range(10)) True >>> factorial(-5) # doctest: +ELLIPSIS Traceback (most recent call last): ... ValueError: factorial() not defined for negative values """ if n < 0: raise ValueError("factorial() not defined for negative values") result = 1 for i in range(1, n + 1): result *= i return result def binary_tree_count(node_count: int) -> int: """ Return the number of possible of binary trees. :param n: number of nodes :return: Number of possible binary trees >>> binary_tree_count(5) 5040 >>> binary_tree_count(6) 95040 """ return catalan_number(node_count) * factorial(node_count) if __name__ == "__main__": node_count = int(input("Enter the number of nodes: ").strip() or 0) if node_count <= 0: raise ValueError("We need some nodes to work with.") print( f"Given {node_count} nodes, there are {binary_tree_count(node_count)} " f"binary trees and {catalan_number(node_count)} binary search trees." )
""" Hey, we are going to find an exciting number called Catalan number which is use to find the number of possible binary search trees from tree of a given number of nodes. We will use the formula: t(n) = SUMMATION(i = 1 to n)t(i-1)t(n-i) Further details at Wikipedia: https://en.wikipedia.org/wiki/Catalan_number """ """ Our Contribution: Basically we Create the 2 function: 1. catalan_number(node_count: int) -> int Returns the number of possible binary search trees for n nodes. 2. binary_tree_count(node_count: int) -> int Returns the number of possible binary trees for n nodes. """ def binomial_coefficient(n: int, k: int) -> int: """ Since Here we Find the Binomial Coefficient: https://en.wikipedia.org/wiki/Binomial_coefficient C(n,k) = n! / k!(n-k)! :param n: 2 times of Number of nodes :param k: Number of nodes :return: Integer Value >>> binomial_coefficient(4, 2) 6 """ result = 1 # To kept the Calculated Value # Since C(n, k) = C(n, n-k) if k > (n - k): k = n - k # Calculate C(n,k) for i in range(k): result *= n - i result //= i + 1 return result def catalan_number(node_count: int) -> int: """ We can find Catalan number many ways but here we use Binomial Coefficient because it does the job in O(n) return the Catalan number of n using 2nCn/(n+1). :param n: number of nodes :return: Catalan number of n nodes >>> catalan_number(5) 42 >>> catalan_number(6) 132 """ return binomial_coefficient(2 * node_count, node_count) // (node_count + 1) def factorial(n: int) -> int: """ Return the factorial of a number. :param n: Number to find the Factorial of. :return: Factorial of n. >>> import math >>> all(factorial(i) == math.factorial(i) for i in range(10)) True >>> factorial(-5) # doctest: +ELLIPSIS Traceback (most recent call last): ... ValueError: factorial() not defined for negative values """ if n < 0: raise ValueError("factorial() not defined for negative values") result = 1 for i in range(1, n + 1): result *= i return result def binary_tree_count(node_count: int) -> int: """ Return the number of possible of binary trees. :param n: number of nodes :return: Number of possible binary trees >>> binary_tree_count(5) 5040 >>> binary_tree_count(6) 95040 """ return catalan_number(node_count) * factorial(node_count) if __name__ == "__main__": node_count = int(input("Enter the number of nodes: ").strip() or 0) if node_count <= 0: raise ValueError("We need some nodes to work with.") print( f"Given {node_count} nodes, there are {binary_tree_count(node_count)} " f"binary trees and {catalan_number(node_count)} binary search trees." )
-1
TheAlgorithms/Python
4,278
fix(mypy): Fix annotations for 13 cipher algorithms
Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
dhruvmanila
"2021-03-20T09:09:15Z"
"2021-03-22T06:59:51Z"
99a42f2b5821356718fb7d011ac711a6b4a63a83
14bcb580d55ee90614ad258ea31ef8fe4e4b5c40
fix(mypy): Fix annotations for 13 cipher algorithms. Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
-1
TheAlgorithms/Python
4,278
fix(mypy): Fix annotations for 13 cipher algorithms
Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
dhruvmanila
"2021-03-20T09:09:15Z"
"2021-03-22T06:59:51Z"
99a42f2b5821356718fb7d011ac711a6b4a63a83
14bcb580d55ee90614ad258ea31ef8fe4e4b5c40
fix(mypy): Fix annotations for 13 cipher algorithms. Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
-1
TheAlgorithms/Python
4,278
fix(mypy): Fix annotations for 13 cipher algorithms
Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
dhruvmanila
"2021-03-20T09:09:15Z"
"2021-03-22T06:59:51Z"
99a42f2b5821356718fb7d011ac711a6b4a63a83
14bcb580d55ee90614ad258ea31ef8fe4e4b5c40
fix(mypy): Fix annotations for 13 cipher algorithms. Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
""" Heap's algorithm returns the list of all permutations possible from a list. It minimizes movement by generating each permutation from the previous one by swapping only two elements. More information: https://en.wikipedia.org/wiki/Heap%27s_algorithm. """ def heaps(arr: list) -> list: """ Pure python implementation of the Heap's algorithm (recursive version), returning all permutations of a list. >>> heaps([]) [()] >>> heaps([0]) [(0,)] >>> heaps([-1, 1]) [(-1, 1), (1, -1)] >>> heaps([1, 2, 3]) [(1, 2, 3), (2, 1, 3), (3, 1, 2), (1, 3, 2), (2, 3, 1), (3, 2, 1)] >>> from itertools import permutations >>> sorted(heaps([1,2,3])) == sorted(permutations([1,2,3])) True >>> all(sorted(heaps(x)) == sorted(permutations(x)) ... for x in ([], [0], [-1, 1], [1, 2, 3])) True """ if len(arr) <= 1: return [tuple(arr)] res = [] def generate(k: int, arr: list): if k == 1: res.append(tuple(arr[:])) return generate(k - 1, arr) for i in range(k - 1): if k % 2 == 0: # k is even arr[i], arr[k - 1] = arr[k - 1], arr[i] else: # k is odd arr[0], arr[k - 1] = arr[k - 1], arr[0] generate(k - 1, arr) generate(len(arr), arr) return res if __name__ == "__main__": user_input = input("Enter numbers separated by a comma:\n").strip() arr = [int(item) for item in user_input.split(",")] print(heaps(arr))
""" Heap's algorithm returns the list of all permutations possible from a list. It minimizes movement by generating each permutation from the previous one by swapping only two elements. More information: https://en.wikipedia.org/wiki/Heap%27s_algorithm. """ def heaps(arr: list) -> list: """ Pure python implementation of the Heap's algorithm (recursive version), returning all permutations of a list. >>> heaps([]) [()] >>> heaps([0]) [(0,)] >>> heaps([-1, 1]) [(-1, 1), (1, -1)] >>> heaps([1, 2, 3]) [(1, 2, 3), (2, 1, 3), (3, 1, 2), (1, 3, 2), (2, 3, 1), (3, 2, 1)] >>> from itertools import permutations >>> sorted(heaps([1,2,3])) == sorted(permutations([1,2,3])) True >>> all(sorted(heaps(x)) == sorted(permutations(x)) ... for x in ([], [0], [-1, 1], [1, 2, 3])) True """ if len(arr) <= 1: return [tuple(arr)] res = [] def generate(k: int, arr: list): if k == 1: res.append(tuple(arr[:])) return generate(k - 1, arr) for i in range(k - 1): if k % 2 == 0: # k is even arr[i], arr[k - 1] = arr[k - 1], arr[i] else: # k is odd arr[0], arr[k - 1] = arr[k - 1], arr[0] generate(k - 1, arr) generate(len(arr), arr) return res if __name__ == "__main__": user_input = input("Enter numbers separated by a comma:\n").strip() arr = [int(item) for item in user_input.split(",")] print(heaps(arr))
-1
TheAlgorithms/Python
4,278
fix(mypy): Fix annotations for 13 cipher algorithms
Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
dhruvmanila
"2021-03-20T09:09:15Z"
"2021-03-22T06:59:51Z"
99a42f2b5821356718fb7d011ac711a6b4a63a83
14bcb580d55ee90614ad258ea31ef8fe4e4b5c40
fix(mypy): Fix annotations for 13 cipher algorithms. Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
""" This is a pure Python implementation of the pancake sort algorithm For doctests run following command: python3 -m doctest -v pancake_sort.py or python -m doctest -v pancake_sort.py For manual testing run: python pancake_sort.py """ def pancake_sort(arr): """Sort Array with Pancake Sort. :param arr: Collection containing comparable items :return: Collection ordered in ascending order of items Examples: >>> pancake_sort([0, 5, 3, 2, 2]) [0, 2, 2, 3, 5] >>> pancake_sort([]) [] >>> pancake_sort([-2, -5, -45]) [-45, -5, -2] """ cur = len(arr) while cur > 1: # Find the maximum number in arr mi = arr.index(max(arr[0:cur])) # Reverse from 0 to mi arr = arr[mi::-1] + arr[mi + 1 : len(arr)] # Reverse whole list arr = arr[cur - 1 :: -1] + arr[cur : len(arr)] cur -= 1 return arr if __name__ == "__main__": user_input = input("Enter numbers separated by a comma:\n").strip() unsorted = [int(item) for item in user_input.split(",")] print(pancake_sort(unsorted))
""" This is a pure Python implementation of the pancake sort algorithm For doctests run following command: python3 -m doctest -v pancake_sort.py or python -m doctest -v pancake_sort.py For manual testing run: python pancake_sort.py """ def pancake_sort(arr): """Sort Array with Pancake Sort. :param arr: Collection containing comparable items :return: Collection ordered in ascending order of items Examples: >>> pancake_sort([0, 5, 3, 2, 2]) [0, 2, 2, 3, 5] >>> pancake_sort([]) [] >>> pancake_sort([-2, -5, -45]) [-45, -5, -2] """ cur = len(arr) while cur > 1: # Find the maximum number in arr mi = arr.index(max(arr[0:cur])) # Reverse from 0 to mi arr = arr[mi::-1] + arr[mi + 1 : len(arr)] # Reverse whole list arr = arr[cur - 1 :: -1] + arr[cur : len(arr)] cur -= 1 return arr if __name__ == "__main__": user_input = input("Enter numbers separated by a comma:\n").strip() unsorted = [int(item) for item in user_input.split(",")] print(pancake_sort(unsorted))
-1
TheAlgorithms/Python
4,278
fix(mypy): Fix annotations for 13 cipher algorithms
Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
dhruvmanila
"2021-03-20T09:09:15Z"
"2021-03-22T06:59:51Z"
99a42f2b5821356718fb7d011ac711a6b4a63a83
14bcb580d55ee90614ad258ea31ef8fe4e4b5c40
fix(mypy): Fix annotations for 13 cipher algorithms. Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
"""Segmented Sieve.""" import math def sieve(n): """Segmented Sieve.""" in_prime = [] start = 2 end = int(math.sqrt(n)) # Size of every segment temp = [True] * (end + 1) prime = [] while start <= end: if temp[start] is True: in_prime.append(start) for i in range(start * start, end + 1, start): if temp[i] is True: temp[i] = False start += 1 prime += in_prime low = end + 1 high = low + end - 1 if high > n: high = n while low <= n: temp = [True] * (high - low + 1) for each in in_prime: t = math.floor(low / each) * each if t < low: t += each for j in range(t, high + 1, each): temp[j - low] = False for j in range(len(temp)): if temp[j] is True: prime.append(j + low) low = high + 1 high = low + end - 1 if high > n: high = n return prime print(sieve(10 ** 6))
"""Segmented Sieve.""" import math def sieve(n): """Segmented Sieve.""" in_prime = [] start = 2 end = int(math.sqrt(n)) # Size of every segment temp = [True] * (end + 1) prime = [] while start <= end: if temp[start] is True: in_prime.append(start) for i in range(start * start, end + 1, start): if temp[i] is True: temp[i] = False start += 1 prime += in_prime low = end + 1 high = low + end - 1 if high > n: high = n while low <= n: temp = [True] * (high - low + 1) for each in in_prime: t = math.floor(low / each) * each if t < low: t += each for j in range(t, high + 1, each): temp[j - low] = False for j in range(len(temp)): if temp[j] is True: prime.append(j + low) low = high + 1 high = low + end - 1 if high > n: high = n return prime print(sieve(10 ** 6))
-1
TheAlgorithms/Python
4,278
fix(mypy): Fix annotations for 13 cipher algorithms
Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
dhruvmanila
"2021-03-20T09:09:15Z"
"2021-03-22T06:59:51Z"
99a42f2b5821356718fb7d011ac711a6b4a63a83
14bcb580d55ee90614ad258ea31ef8fe4e4b5c40
fix(mypy): Fix annotations for 13 cipher algorithms. Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
""" Lychrel numbers Problem 55: https://projecteuler.net/problem=55 If we take 47, reverse and add, 47 + 74 = 121, which is palindromic. Not all numbers produce palindromes so quickly. For example, 349 + 943 = 1292, 1292 + 2921 = 4213 4213 + 3124 = 7337 That is, 349 took three iterations to arrive at a palindrome. Although no one has proved it yet, it is thought that some numbers, like 196, never produce a palindrome. A number that never forms a palindrome through the reverse and add process is called a Lychrel number. Due to the theoretical nature of these numbers, and for the purpose of this problem, we shall assume that a number is Lychrel until proven otherwise. In addition you are given that for every number below ten-thousand, it will either (i) become a palindrome in less than fifty iterations, or, (ii) no one, with all the computing power that exists, has managed so far to map it to a palindrome. In fact, 10677 is the first number to be shown to require over fifty iterations before producing a palindrome: 4668731596684224866951378664 (53 iterations, 28-digits). Surprisingly, there are palindromic numbers that are themselves Lychrel numbers; the first example is 4994. How many Lychrel numbers are there below ten-thousand? """ def is_palindrome(n: int) -> bool: """ Returns True if a number is palindrome. >>> is_palindrome(12567321) False >>> is_palindrome(1221) True >>> is_palindrome(9876789) True """ return str(n) == str(n)[::-1] def sum_reverse(n: int) -> int: """ Returns the sum of n and reverse of n. >>> sum_reverse(123) 444 >>> sum_reverse(3478) 12221 >>> sum_reverse(12) 33 """ return int(n) + int(str(n)[::-1]) def solution(limit: int = 10000) -> int: """ Returns the count of all lychrel numbers below limit. >>> solution(10000) 249 >>> solution(5000) 76 >>> solution(1000) 13 """ lychrel_nums = [] for num in range(1, limit): iterations = 0 a = num while iterations < 50: num = sum_reverse(num) iterations += 1 if is_palindrome(num): break else: lychrel_nums.append(a) return len(lychrel_nums) if __name__ == "__main__": print(f"{solution() = }")
""" Lychrel numbers Problem 55: https://projecteuler.net/problem=55 If we take 47, reverse and add, 47 + 74 = 121, which is palindromic. Not all numbers produce palindromes so quickly. For example, 349 + 943 = 1292, 1292 + 2921 = 4213 4213 + 3124 = 7337 That is, 349 took three iterations to arrive at a palindrome. Although no one has proved it yet, it is thought that some numbers, like 196, never produce a palindrome. A number that never forms a palindrome through the reverse and add process is called a Lychrel number. Due to the theoretical nature of these numbers, and for the purpose of this problem, we shall assume that a number is Lychrel until proven otherwise. In addition you are given that for every number below ten-thousand, it will either (i) become a palindrome in less than fifty iterations, or, (ii) no one, with all the computing power that exists, has managed so far to map it to a palindrome. In fact, 10677 is the first number to be shown to require over fifty iterations before producing a palindrome: 4668731596684224866951378664 (53 iterations, 28-digits). Surprisingly, there are palindromic numbers that are themselves Lychrel numbers; the first example is 4994. How many Lychrel numbers are there below ten-thousand? """ def is_palindrome(n: int) -> bool: """ Returns True if a number is palindrome. >>> is_palindrome(12567321) False >>> is_palindrome(1221) True >>> is_palindrome(9876789) True """ return str(n) == str(n)[::-1] def sum_reverse(n: int) -> int: """ Returns the sum of n and reverse of n. >>> sum_reverse(123) 444 >>> sum_reverse(3478) 12221 >>> sum_reverse(12) 33 """ return int(n) + int(str(n)[::-1]) def solution(limit: int = 10000) -> int: """ Returns the count of all lychrel numbers below limit. >>> solution(10000) 249 >>> solution(5000) 76 >>> solution(1000) 13 """ lychrel_nums = [] for num in range(1, limit): iterations = 0 a = num while iterations < 50: num = sum_reverse(num) iterations += 1 if is_palindrome(num): break else: lychrel_nums.append(a) return len(lychrel_nums) if __name__ == "__main__": print(f"{solution() = }")
-1
TheAlgorithms/Python
4,278
fix(mypy): Fix annotations for 13 cipher algorithms
Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
dhruvmanila
"2021-03-20T09:09:15Z"
"2021-03-22T06:59:51Z"
99a42f2b5821356718fb7d011ac711a6b4a63a83
14bcb580d55ee90614ad258ea31ef8fe4e4b5c40
fix(mypy): Fix annotations for 13 cipher algorithms. Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
""" Project Euler Problem 8: https://projecteuler.net/problem=8 Largest product in a series The four adjacent digits in the 1000-digit number that have the greatest product are 9 × 9 × 8 × 9 = 5832. 73167176531330624919225119674426574742355349194934 96983520312774506326239578318016984801869478851843 85861560789112949495459501737958331952853208805511 12540698747158523863050715693290963295227443043557 66896648950445244523161731856403098711121722383113 62229893423380308135336276614282806444486645238749 30358907296290491560440772390713810515859307960866 70172427121883998797908792274921901699720888093776 65727333001053367881220235421809751254540594752243 52584907711670556013604839586446706324415722155397 53697817977846174064955149290862569321978468622482 83972241375657056057490261407972968652414535100474 82166370484403199890008895243450658541227588666881 16427171479924442928230863465674813919123162824586 17866458359124566529476545682848912883142607690042 24219022671055626321111109370544217506941658960408 07198403850962455444362981230987879927244284909188 84580156166097919133875499200524063689912560717606 05886116467109405077541002256983155200055935729725 71636269561882670428252483600823257530420752963450 Find the thirteen adjacent digits in the 1000-digit number that have the greatest product. What is the value of this product? """ from functools import reduce N = ( "73167176531330624919225119674426574742355349194934" "96983520312774506326239578318016984801869478851843" "85861560789112949495459501737958331952853208805511" "12540698747158523863050715693290963295227443043557" "66896648950445244523161731856403098711121722383113" "62229893423380308135336276614282806444486645238749" "30358907296290491560440772390713810515859307960866" "70172427121883998797908792274921901699720888093776" "65727333001053367881220235421809751254540594752243" "52584907711670556013604839586446706324415722155397" "53697817977846174064955149290862569321978468622482" "83972241375657056057490261407972968652414535100474" "82166370484403199890008895243450658541227588666881" "16427171479924442928230863465674813919123162824586" "17866458359124566529476545682848912883142607690042" "24219022671055626321111109370544217506941658960408" "07198403850962455444362981230987879927244284909188" "84580156166097919133875499200524063689912560717606" "05886116467109405077541002256983155200055935729725" "71636269561882670428252483600823257530420752963450" ) def solution(n: str = N) -> int: """ Find the thirteen adjacent digits in the 1000-digit number n that have the greatest product and returns it. >>> solution("13978431290823798458352374") 609638400 >>> solution("13978431295823798458352374") 2612736000 >>> solution("1397843129582379841238352374") 209018880 """ return max( [ reduce(lambda x, y: int(x) * int(y), n[i : i + 13]) for i in range(len(n) - 12) ] ) if __name__ == "__main__": print(f"{solution() = }")
""" Project Euler Problem 8: https://projecteuler.net/problem=8 Largest product in a series The four adjacent digits in the 1000-digit number that have the greatest product are 9 × 9 × 8 × 9 = 5832. 73167176531330624919225119674426574742355349194934 96983520312774506326239578318016984801869478851843 85861560789112949495459501737958331952853208805511 12540698747158523863050715693290963295227443043557 66896648950445244523161731856403098711121722383113 62229893423380308135336276614282806444486645238749 30358907296290491560440772390713810515859307960866 70172427121883998797908792274921901699720888093776 65727333001053367881220235421809751254540594752243 52584907711670556013604839586446706324415722155397 53697817977846174064955149290862569321978468622482 83972241375657056057490261407972968652414535100474 82166370484403199890008895243450658541227588666881 16427171479924442928230863465674813919123162824586 17866458359124566529476545682848912883142607690042 24219022671055626321111109370544217506941658960408 07198403850962455444362981230987879927244284909188 84580156166097919133875499200524063689912560717606 05886116467109405077541002256983155200055935729725 71636269561882670428252483600823257530420752963450 Find the thirteen adjacent digits in the 1000-digit number that have the greatest product. What is the value of this product? """ from functools import reduce N = ( "73167176531330624919225119674426574742355349194934" "96983520312774506326239578318016984801869478851843" "85861560789112949495459501737958331952853208805511" "12540698747158523863050715693290963295227443043557" "66896648950445244523161731856403098711121722383113" "62229893423380308135336276614282806444486645238749" "30358907296290491560440772390713810515859307960866" "70172427121883998797908792274921901699720888093776" "65727333001053367881220235421809751254540594752243" "52584907711670556013604839586446706324415722155397" "53697817977846174064955149290862569321978468622482" "83972241375657056057490261407972968652414535100474" "82166370484403199890008895243450658541227588666881" "16427171479924442928230863465674813919123162824586" "17866458359124566529476545682848912883142607690042" "24219022671055626321111109370544217506941658960408" "07198403850962455444362981230987879927244284909188" "84580156166097919133875499200524063689912560717606" "05886116467109405077541002256983155200055935729725" "71636269561882670428252483600823257530420752963450" ) def solution(n: str = N) -> int: """ Find the thirteen adjacent digits in the 1000-digit number n that have the greatest product and returns it. >>> solution("13978431290823798458352374") 609638400 >>> solution("13978431295823798458352374") 2612736000 >>> solution("1397843129582379841238352374") 209018880 """ return max( [ reduce(lambda x, y: int(x) * int(y), n[i : i + 13]) for i in range(len(n) - 12) ] ) if __name__ == "__main__": print(f"{solution() = }")
-1
TheAlgorithms/Python
4,278
fix(mypy): Fix annotations for 13 cipher algorithms
Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
dhruvmanila
"2021-03-20T09:09:15Z"
"2021-03-22T06:59:51Z"
99a42f2b5821356718fb7d011ac711a6b4a63a83
14bcb580d55ee90614ad258ea31ef8fe4e4b5c40
fix(mypy): Fix annotations for 13 cipher algorithms. Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
B64_CHARSET = "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789+/" def base64_encode(data: bytes) -> bytes: """Encodes data according to RFC4648. The data is first transformed to binary and appended with binary digits so that its length becomes a multiple of 6, then each 6 binary digits will match a character in the B64_CHARSET string. The number of appended binary digits would later determine how many "=" sign should be added, the padding. For every 2 binary digits added, a "=" sign is added in the output. We can add any binary digits to make it a multiple of 6, for instance, consider the following example: "AA" -> 0010100100101001 -> 001010 010010 1001 As can be seen above, 2 more binary digits should be added, so there's 4 possibilities here: 00, 01, 10 or 11. That being said, Base64 encoding can be used in Steganography to hide data in these appended digits. >>> from base64 import b64encode >>> a = b"This pull request is part of Hacktoberfest20!" >>> b = b"https://tools.ietf.org/html/rfc4648" >>> c = b"A" >>> base64_encode(a) == b64encode(a) True >>> base64_encode(b) == b64encode(b) True >>> base64_encode(c) == b64encode(c) True >>> base64_encode("abc") Traceback (most recent call last): ... TypeError: a bytes-like object is required, not 'str' """ # Make sure the supplied data is a bytes-like object if not isinstance(data, bytes): raise TypeError( f"a bytes-like object is required, not '{data.__class__.__name__}'" ) binary_stream = "".join(bin(byte)[2:].zfill(8) for byte in data) padding_needed = len(binary_stream) % 6 != 0 if padding_needed: # The padding that will be added later padding = b"=" * ((6 - len(binary_stream) % 6) // 2) # Append binary_stream with arbitrary binary digits (0's by default) to make its # length a multiple of 6. binary_stream += "0" * (6 - len(binary_stream) % 6) else: padding = b"" # Encode every 6 binary digits to their corresponding Base64 character return ( "".join( B64_CHARSET[int(binary_stream[index : index + 6], 2)] for index in range(0, len(binary_stream), 6) ).encode() + padding ) def base64_decode(encoded_data: str) -> bytes: """Decodes data according to RFC4648. This does the reverse operation of base64_encode. We first transform the encoded data back to a binary stream, take off the previously appended binary digits according to the padding, at this point we would have a binary stream whose length is multiple of 8, the last step is to convert every 8 bits to a byte. >>> from base64 import b64decode >>> a = "VGhpcyBwdWxsIHJlcXVlc3QgaXMgcGFydCBvZiBIYWNrdG9iZXJmZXN0MjAh" >>> b = "aHR0cHM6Ly90b29scy5pZXRmLm9yZy9odG1sL3JmYzQ2NDg=" >>> c = "QQ==" >>> base64_decode(a) == b64decode(a) True >>> base64_decode(b) == b64decode(b) True >>> base64_decode(c) == b64decode(c) True >>> base64_decode("abc") Traceback (most recent call last): ... AssertionError: Incorrect padding """ # Make sure encoded_data is either a string or a bytes-like object if not isinstance(encoded_data, bytes) and not isinstance(encoded_data, str): raise TypeError( "argument should be a bytes-like object or ASCII string, not " f"'{encoded_data.__class__.__name__}'" ) # In case encoded_data is a bytes-like object, make sure it contains only # ASCII characters so we convert it to a string object if isinstance(encoded_data, bytes): try: encoded_data = encoded_data.decode("utf-8") except UnicodeDecodeError: raise ValueError("base64 encoded data should only contain ASCII characters") padding = encoded_data.count("=") # Check if the encoded string contains non base64 characters if padding: assert all( char in B64_CHARSET for char in encoded_data[:-padding] ), "Invalid base64 character(s) found." else: assert all( char in B64_CHARSET for char in encoded_data ), "Invalid base64 character(s) found." # Check the padding assert len(encoded_data) % 4 == 0 and padding < 3, "Incorrect padding" if padding: # Remove padding if there is one encoded_data = encoded_data[:-padding] binary_stream = "".join( bin(B64_CHARSET.index(char))[2:].zfill(6) for char in encoded_data )[: -padding * 2] else: binary_stream = "".join( bin(B64_CHARSET.index(char))[2:].zfill(6) for char in encoded_data ) data = [ int(binary_stream[index : index + 8], 2) for index in range(0, len(binary_stream), 8) ] return bytes(data) if __name__ == "__main__": import doctest doctest.testmod()
B64_CHARSET = "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789+/" def base64_encode(data: bytes) -> bytes: """Encodes data according to RFC4648. The data is first transformed to binary and appended with binary digits so that its length becomes a multiple of 6, then each 6 binary digits will match a character in the B64_CHARSET string. The number of appended binary digits would later determine how many "=" sign should be added, the padding. For every 2 binary digits added, a "=" sign is added in the output. We can add any binary digits to make it a multiple of 6, for instance, consider the following example: "AA" -> 0010100100101001 -> 001010 010010 1001 As can be seen above, 2 more binary digits should be added, so there's 4 possibilities here: 00, 01, 10 or 11. That being said, Base64 encoding can be used in Steganography to hide data in these appended digits. >>> from base64 import b64encode >>> a = b"This pull request is part of Hacktoberfest20!" >>> b = b"https://tools.ietf.org/html/rfc4648" >>> c = b"A" >>> base64_encode(a) == b64encode(a) True >>> base64_encode(b) == b64encode(b) True >>> base64_encode(c) == b64encode(c) True >>> base64_encode("abc") Traceback (most recent call last): ... TypeError: a bytes-like object is required, not 'str' """ # Make sure the supplied data is a bytes-like object if not isinstance(data, bytes): raise TypeError( f"a bytes-like object is required, not '{data.__class__.__name__}'" ) binary_stream = "".join(bin(byte)[2:].zfill(8) for byte in data) padding_needed = len(binary_stream) % 6 != 0 if padding_needed: # The padding that will be added later padding = b"=" * ((6 - len(binary_stream) % 6) // 2) # Append binary_stream with arbitrary binary digits (0's by default) to make its # length a multiple of 6. binary_stream += "0" * (6 - len(binary_stream) % 6) else: padding = b"" # Encode every 6 binary digits to their corresponding Base64 character return ( "".join( B64_CHARSET[int(binary_stream[index : index + 6], 2)] for index in range(0, len(binary_stream), 6) ).encode() + padding ) def base64_decode(encoded_data: str) -> bytes: """Decodes data according to RFC4648. This does the reverse operation of base64_encode. We first transform the encoded data back to a binary stream, take off the previously appended binary digits according to the padding, at this point we would have a binary stream whose length is multiple of 8, the last step is to convert every 8 bits to a byte. >>> from base64 import b64decode >>> a = "VGhpcyBwdWxsIHJlcXVlc3QgaXMgcGFydCBvZiBIYWNrdG9iZXJmZXN0MjAh" >>> b = "aHR0cHM6Ly90b29scy5pZXRmLm9yZy9odG1sL3JmYzQ2NDg=" >>> c = "QQ==" >>> base64_decode(a) == b64decode(a) True >>> base64_decode(b) == b64decode(b) True >>> base64_decode(c) == b64decode(c) True >>> base64_decode("abc") Traceback (most recent call last): ... AssertionError: Incorrect padding """ # Make sure encoded_data is either a string or a bytes-like object if not isinstance(encoded_data, bytes) and not isinstance(encoded_data, str): raise TypeError( "argument should be a bytes-like object or ASCII string, not " f"'{encoded_data.__class__.__name__}'" ) # In case encoded_data is a bytes-like object, make sure it contains only # ASCII characters so we convert it to a string object if isinstance(encoded_data, bytes): try: encoded_data = encoded_data.decode("utf-8") except UnicodeDecodeError: raise ValueError("base64 encoded data should only contain ASCII characters") padding = encoded_data.count("=") # Check if the encoded string contains non base64 characters if padding: assert all( char in B64_CHARSET for char in encoded_data[:-padding] ), "Invalid base64 character(s) found." else: assert all( char in B64_CHARSET for char in encoded_data ), "Invalid base64 character(s) found." # Check the padding assert len(encoded_data) % 4 == 0 and padding < 3, "Incorrect padding" if padding: # Remove padding if there is one encoded_data = encoded_data[:-padding] binary_stream = "".join( bin(B64_CHARSET.index(char))[2:].zfill(6) for char in encoded_data )[: -padding * 2] else: binary_stream = "".join( bin(B64_CHARSET.index(char))[2:].zfill(6) for char in encoded_data ) data = [ int(binary_stream[index : index + 8], 2) for index in range(0, len(binary_stream), 8) ] return bytes(data) if __name__ == "__main__": import doctest doctest.testmod()
-1
TheAlgorithms/Python
4,278
fix(mypy): Fix annotations for 13 cipher algorithms
Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
dhruvmanila
"2021-03-20T09:09:15Z"
"2021-03-22T06:59:51Z"
99a42f2b5821356718fb7d011ac711a6b4a63a83
14bcb580d55ee90614ad258ea31ef8fe4e4b5c40
fix(mypy): Fix annotations for 13 cipher algorithms. Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
def perfect_cube(n: int) -> bool: """ Check if a number is a perfect cube or not. >>> perfect_cube(27) True >>> perfect_cube(4) False """ val = n ** (1 / 3) return (val * val * val) == n if __name__ == "__main__": print(perfect_cube(27)) print(perfect_cube(4))
def perfect_cube(n: int) -> bool: """ Check if a number is a perfect cube or not. >>> perfect_cube(27) True >>> perfect_cube(4) False """ val = n ** (1 / 3) return (val * val * val) == n if __name__ == "__main__": print(perfect_cube(27)) print(perfect_cube(4))
-1
TheAlgorithms/Python
4,278
fix(mypy): Fix annotations for 13 cipher algorithms
Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
dhruvmanila
"2021-03-20T09:09:15Z"
"2021-03-22T06:59:51Z"
99a42f2b5821356718fb7d011ac711a6b4a63a83
14bcb580d55ee90614ad258ea31ef8fe4e4b5c40
fix(mypy): Fix annotations for 13 cipher algorithms. Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
""" Author : Mehdi ALAOUI This is a pure Python implementation of Dynamic Programming solution to the longest increasing subsequence of a given sequence. The problem is : Given an array, to find the longest and increasing sub-array in that given array and return it. Example: [10, 22, 9, 33, 21, 50, 41, 60, 80] as input will return [10, 22, 33, 41, 60, 80] as output """ from __future__ import annotations def longest_subsequence(array: list[int]) -> list[int]: # This function is recursive """ Some examples >>> longest_subsequence([10, 22, 9, 33, 21, 50, 41, 60, 80]) [10, 22, 33, 41, 60, 80] >>> longest_subsequence([4, 8, 7, 5, 1, 12, 2, 3, 9]) [1, 2, 3, 9] >>> longest_subsequence([9, 8, 7, 6, 5, 7]) [8] >>> longest_subsequence([1, 1, 1]) [1, 1, 1] >>> longest_subsequence([]) [] """ array_length = len(array) # If the array contains only one element, we return it (it's the stop condition of # recursion) if array_length <= 1: return array # Else pivot = array[0] isFound = False i = 1 longest_subseq = [] while not isFound and i < array_length: if array[i] < pivot: isFound = True temp_array = [element for element in array[i:] if element >= array[i]] temp_array = longest_subsequence(temp_array) if len(temp_array) > len(longest_subseq): longest_subseq = temp_array else: i += 1 temp_array = [element for element in array[1:] if element >= pivot] temp_array = [pivot] + longest_subsequence(temp_array) if len(temp_array) > len(longest_subseq): return temp_array else: return longest_subseq if __name__ == "__main__": import doctest doctest.testmod()
""" Author : Mehdi ALAOUI This is a pure Python implementation of Dynamic Programming solution to the longest increasing subsequence of a given sequence. The problem is : Given an array, to find the longest and increasing sub-array in that given array and return it. Example: [10, 22, 9, 33, 21, 50, 41, 60, 80] as input will return [10, 22, 33, 41, 60, 80] as output """ from __future__ import annotations def longest_subsequence(array: list[int]) -> list[int]: # This function is recursive """ Some examples >>> longest_subsequence([10, 22, 9, 33, 21, 50, 41, 60, 80]) [10, 22, 33, 41, 60, 80] >>> longest_subsequence([4, 8, 7, 5, 1, 12, 2, 3, 9]) [1, 2, 3, 9] >>> longest_subsequence([9, 8, 7, 6, 5, 7]) [8] >>> longest_subsequence([1, 1, 1]) [1, 1, 1] >>> longest_subsequence([]) [] """ array_length = len(array) # If the array contains only one element, we return it (it's the stop condition of # recursion) if array_length <= 1: return array # Else pivot = array[0] isFound = False i = 1 longest_subseq = [] while not isFound and i < array_length: if array[i] < pivot: isFound = True temp_array = [element for element in array[i:] if element >= array[i]] temp_array = longest_subsequence(temp_array) if len(temp_array) > len(longest_subseq): longest_subseq = temp_array else: i += 1 temp_array = [element for element in array[1:] if element >= pivot] temp_array = [pivot] + longest_subsequence(temp_array) if len(temp_array) > len(longest_subseq): return temp_array else: return longest_subseq if __name__ == "__main__": import doctest doctest.testmod()
-1
TheAlgorithms/Python
4,278
fix(mypy): Fix annotations for 13 cipher algorithms
Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
dhruvmanila
"2021-03-20T09:09:15Z"
"2021-03-22T06:59:51Z"
99a42f2b5821356718fb7d011ac711a6b4a63a83
14bcb580d55ee90614ad258ea31ef8fe4e4b5c40
fix(mypy): Fix annotations for 13 cipher algorithms. Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
from typing import List def merge(left_half: List, right_half: List) -> List: """Helper function for mergesort. >>> left_half = [-2] >>> right_half = [-1] >>> merge(left_half, right_half) [-2, -1] >>> left_half = [1,2,3] >>> right_half = [4,5,6] >>> merge(left_half, right_half) [1, 2, 3, 4, 5, 6] >>> left_half = [-2] >>> right_half = [-1] >>> merge(left_half, right_half) [-2, -1] >>> left_half = [12, 15] >>> right_half = [13, 14] >>> merge(left_half, right_half) [12, 13, 14, 15] >>> left_half = [] >>> right_half = [] >>> merge(left_half, right_half) [] """ sorted_array = [None] * (len(right_half) + len(left_half)) pointer1 = 0 # pointer to current index for left Half pointer2 = 0 # pointer to current index for the right Half index = 0 # pointer to current index for the sorted array Half while pointer1 < len(left_half) and pointer2 < len(right_half): if left_half[pointer1] < right_half[pointer2]: sorted_array[index] = left_half[pointer1] pointer1 += 1 index += 1 else: sorted_array[index] = right_half[pointer2] pointer2 += 1 index += 1 while pointer1 < len(left_half): sorted_array[index] = left_half[pointer1] pointer1 += 1 index += 1 while pointer2 < len(right_half): sorted_array[index] = right_half[pointer2] pointer2 += 1 index += 1 return sorted_array def merge_sort(array: List) -> List: """Returns a list of sorted array elements using merge sort. >>> from random import shuffle >>> array = [-2, 3, -10, 11, 99, 100000, 100, -200] >>> shuffle(array) >>> merge_sort(array) [-200, -10, -2, 3, 11, 99, 100, 100000] >>> shuffle(array) >>> merge_sort(array) [-200, -10, -2, 3, 11, 99, 100, 100000] >>> array = [-200] >>> merge_sort(array) [-200] >>> array = [-2, 3, -10, 11, 99, 100000, 100, -200] >>> shuffle(array) >>> sorted(array) == merge_sort(array) True >>> array = [-2] >>> merge_sort(array) [-2] >>> array = [] >>> merge_sort(array) [] >>> array = [10000000, 1, -1111111111, 101111111112, 9000002] >>> sorted(array) == merge_sort(array) True """ if len(array) <= 1: return array # the actual formula to calculate the middle element = left + (right - left) // 2 # this avoids integer overflow in case of large N middle = 0 + (len(array) - 0) // 2 # Split the array into halves till the array length becomes equal to One # merge the arrays of single length returned by mergeSort function and # pass them into the merge arrays function which merges the array left_half = array[:middle] right_half = array[middle:] return merge(merge_sort(left_half), merge_sort(right_half)) if __name__ == "__main__": import doctest doctest.testmod()
from typing import List def merge(left_half: List, right_half: List) -> List: """Helper function for mergesort. >>> left_half = [-2] >>> right_half = [-1] >>> merge(left_half, right_half) [-2, -1] >>> left_half = [1,2,3] >>> right_half = [4,5,6] >>> merge(left_half, right_half) [1, 2, 3, 4, 5, 6] >>> left_half = [-2] >>> right_half = [-1] >>> merge(left_half, right_half) [-2, -1] >>> left_half = [12, 15] >>> right_half = [13, 14] >>> merge(left_half, right_half) [12, 13, 14, 15] >>> left_half = [] >>> right_half = [] >>> merge(left_half, right_half) [] """ sorted_array = [None] * (len(right_half) + len(left_half)) pointer1 = 0 # pointer to current index for left Half pointer2 = 0 # pointer to current index for the right Half index = 0 # pointer to current index for the sorted array Half while pointer1 < len(left_half) and pointer2 < len(right_half): if left_half[pointer1] < right_half[pointer2]: sorted_array[index] = left_half[pointer1] pointer1 += 1 index += 1 else: sorted_array[index] = right_half[pointer2] pointer2 += 1 index += 1 while pointer1 < len(left_half): sorted_array[index] = left_half[pointer1] pointer1 += 1 index += 1 while pointer2 < len(right_half): sorted_array[index] = right_half[pointer2] pointer2 += 1 index += 1 return sorted_array def merge_sort(array: List) -> List: """Returns a list of sorted array elements using merge sort. >>> from random import shuffle >>> array = [-2, 3, -10, 11, 99, 100000, 100, -200] >>> shuffle(array) >>> merge_sort(array) [-200, -10, -2, 3, 11, 99, 100, 100000] >>> shuffle(array) >>> merge_sort(array) [-200, -10, -2, 3, 11, 99, 100, 100000] >>> array = [-200] >>> merge_sort(array) [-200] >>> array = [-2, 3, -10, 11, 99, 100000, 100, -200] >>> shuffle(array) >>> sorted(array) == merge_sort(array) True >>> array = [-2] >>> merge_sort(array) [-2] >>> array = [] >>> merge_sort(array) [] >>> array = [10000000, 1, -1111111111, 101111111112, 9000002] >>> sorted(array) == merge_sort(array) True """ if len(array) <= 1: return array # the actual formula to calculate the middle element = left + (right - left) // 2 # this avoids integer overflow in case of large N middle = 0 + (len(array) - 0) // 2 # Split the array into halves till the array length becomes equal to One # merge the arrays of single length returned by mergeSort function and # pass them into the merge arrays function which merges the array left_half = array[:middle] right_half = array[middle:] return merge(merge_sort(left_half), merge_sort(right_half)) if __name__ == "__main__": import doctest doctest.testmod()
-1
TheAlgorithms/Python
4,278
fix(mypy): Fix annotations for 13 cipher algorithms
Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
dhruvmanila
"2021-03-20T09:09:15Z"
"2021-03-22T06:59:51Z"
99a42f2b5821356718fb7d011ac711a6b4a63a83
14bcb580d55ee90614ad258ea31ef8fe4e4b5c40
fix(mypy): Fix annotations for 13 cipher algorithms. Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
""" In this problem, we want to determine all possible subsequences of the given sequence. We use backtracking to solve this problem. Time complexity: O(2^n), where n denotes the length of the given sequence. """ from typing import Any, List def generate_all_subsequences(sequence: List[Any]) -> None: create_state_space_tree(sequence, [], 0) def create_state_space_tree( sequence: List[Any], current_subsequence: List[Any], index: int ) -> None: """ Creates a state space tree to iterate through each branch using DFS. We know that each state has exactly two children. It terminates when it reaches the end of the given sequence. """ if index == len(sequence): print(current_subsequence) return create_state_space_tree(sequence, current_subsequence, index + 1) current_subsequence.append(sequence[index]) create_state_space_tree(sequence, current_subsequence, index + 1) current_subsequence.pop() if __name__ == "__main__": seq: List[Any] = [3, 1, 2, 4] generate_all_subsequences(seq) seq.clear() seq.extend(["A", "B", "C"]) generate_all_subsequences(seq)
""" In this problem, we want to determine all possible subsequences of the given sequence. We use backtracking to solve this problem. Time complexity: O(2^n), where n denotes the length of the given sequence. """ from typing import Any, List def generate_all_subsequences(sequence: List[Any]) -> None: create_state_space_tree(sequence, [], 0) def create_state_space_tree( sequence: List[Any], current_subsequence: List[Any], index: int ) -> None: """ Creates a state space tree to iterate through each branch using DFS. We know that each state has exactly two children. It terminates when it reaches the end of the given sequence. """ if index == len(sequence): print(current_subsequence) return create_state_space_tree(sequence, current_subsequence, index + 1) current_subsequence.append(sequence[index]) create_state_space_tree(sequence, current_subsequence, index + 1) current_subsequence.pop() if __name__ == "__main__": seq: List[Any] = [3, 1, 2, 4] generate_all_subsequences(seq) seq.clear() seq.extend(["A", "B", "C"]) generate_all_subsequences(seq)
-1
TheAlgorithms/Python
4,278
fix(mypy): Fix annotations for 13 cipher algorithms
Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
dhruvmanila
"2021-03-20T09:09:15Z"
"2021-03-22T06:59:51Z"
99a42f2b5821356718fb7d011ac711a6b4a63a83
14bcb580d55ee90614ad258ea31ef8fe4e4b5c40
fix(mypy): Fix annotations for 13 cipher algorithms. Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
""" Problem 28 Url: https://projecteuler.net/problem=28 Statement: Starting with the number 1 and moving to the right in a clockwise direction a 5 by 5 spiral is formed as follows: 21 22 23 24 25 20 7 8 9 10 19 6 1 2 11 18 5 4 3 12 17 16 15 14 13 It can be verified that the sum of the numbers on the diagonals is 101. What is the sum of the numbers on the diagonals in a 1001 by 1001 spiral formed in the same way? """ from math import ceil def solution(n: int = 1001) -> int: """Returns the sum of the numbers on the diagonals in a n by n spiral formed in the same way. >>> solution(1001) 669171001 >>> solution(500) 82959497 >>> solution(100) 651897 >>> solution(50) 79697 >>> solution(10) 537 """ total = 1 for i in range(1, int(ceil(n / 2.0))): odd = 2 * i + 1 even = 2 * i total = total + 4 * odd ** 2 - 6 * even return total if __name__ == "__main__": import sys if len(sys.argv) == 1: print(solution()) else: try: n = int(sys.argv[1]) print(solution(n)) except ValueError: print("Invalid entry - please enter a number")
""" Problem 28 Url: https://projecteuler.net/problem=28 Statement: Starting with the number 1 and moving to the right in a clockwise direction a 5 by 5 spiral is formed as follows: 21 22 23 24 25 20 7 8 9 10 19 6 1 2 11 18 5 4 3 12 17 16 15 14 13 It can be verified that the sum of the numbers on the diagonals is 101. What is the sum of the numbers on the diagonals in a 1001 by 1001 spiral formed in the same way? """ from math import ceil def solution(n: int = 1001) -> int: """Returns the sum of the numbers on the diagonals in a n by n spiral formed in the same way. >>> solution(1001) 669171001 >>> solution(500) 82959497 >>> solution(100) 651897 >>> solution(50) 79697 >>> solution(10) 537 """ total = 1 for i in range(1, int(ceil(n / 2.0))): odd = 2 * i + 1 even = 2 * i total = total + 4 * odd ** 2 - 6 * even return total if __name__ == "__main__": import sys if len(sys.argv) == 1: print(solution()) else: try: n = int(sys.argv[1]) print(solution(n)) except ValueError: print("Invalid entry - please enter a number")
-1
TheAlgorithms/Python
4,278
fix(mypy): Fix annotations for 13 cipher algorithms
Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
dhruvmanila
"2021-03-20T09:09:15Z"
"2021-03-22T06:59:51Z"
99a42f2b5821356718fb7d011ac711a6b4a63a83
14bcb580d55ee90614ad258ea31ef8fe4e4b5c40
fix(mypy): Fix annotations for 13 cipher algorithms. Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
# Eulers Totient function finds the number of relative primes of a number n from 1 to n def totient(n: int) -> list: is_prime = [True for i in range(n + 1)] totients = [i - 1 for i in range(n + 1)] primes = [] for i in range(2, n + 1): if is_prime[i]: primes.append(i) for j in range(0, len(primes)): if i * primes[j] >= n: break is_prime[i * primes[j]] = False if i % primes[j] == 0: totients[i * primes[j]] = totients[i] * primes[j] break totients[i * primes[j]] = totients[i] * (primes[j] - 1) return totients def test_totient() -> None: """ >>> n = 10 >>> totient_calculation = totient(n) >>> for i in range(1, n): ... print(f"{i} has {totient_calculation[i]} relative primes.") 1 has 0 relative primes. 2 has 1 relative primes. 3 has 2 relative primes. 4 has 2 relative primes. 5 has 4 relative primes. 6 has 2 relative primes. 7 has 6 relative primes. 8 has 4 relative primes. 9 has 6 relative primes. """ pass if __name__ == "__main__": import doctest doctest.testmod()
# Eulers Totient function finds the number of relative primes of a number n from 1 to n def totient(n: int) -> list: is_prime = [True for i in range(n + 1)] totients = [i - 1 for i in range(n + 1)] primes = [] for i in range(2, n + 1): if is_prime[i]: primes.append(i) for j in range(0, len(primes)): if i * primes[j] >= n: break is_prime[i * primes[j]] = False if i % primes[j] == 0: totients[i * primes[j]] = totients[i] * primes[j] break totients[i * primes[j]] = totients[i] * (primes[j] - 1) return totients def test_totient() -> None: """ >>> n = 10 >>> totient_calculation = totient(n) >>> for i in range(1, n): ... print(f"{i} has {totient_calculation[i]} relative primes.") 1 has 0 relative primes. 2 has 1 relative primes. 3 has 2 relative primes. 4 has 2 relative primes. 5 has 4 relative primes. 6 has 2 relative primes. 7 has 6 relative primes. 8 has 4 relative primes. 9 has 6 relative primes. """ pass if __name__ == "__main__": import doctest doctest.testmod()
-1
TheAlgorithms/Python
4,278
fix(mypy): Fix annotations for 13 cipher algorithms
Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
dhruvmanila
"2021-03-20T09:09:15Z"
"2021-03-22T06:59:51Z"
99a42f2b5821356718fb7d011ac711a6b4a63a83
14bcb580d55ee90614ad258ea31ef8fe4e4b5c40
fix(mypy): Fix annotations for 13 cipher algorithms. Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
"""Get the site emails from URL.""" __author__ = "Muhammad Umer Farooq" __license__ = "MIT" __version__ = "1.0.0" __maintainer__ = "Muhammad Umer Farooq" __email__ = "[email protected]" __status__ = "Alpha" import re from html.parser import HTMLParser from urllib import parse import requests class Parser(HTMLParser): def __init__(self, domain: str): HTMLParser.__init__(self) self.data = [] self.domain = domain def handle_starttag(self, tag: str, attrs: str) -> None: """ This function parse html to take takes url from tags """ # Only parse the 'anchor' tag. if tag == "a": # Check the list of defined attributes. for name, value in attrs: # If href is defined, and not empty nor # print it. if name == "href" and value != "#" and value != "": # If not already in data. if value not in self.data: url = parse.urljoin(self.domain, value) self.data.append(url) # Get main domain name (example.com) def get_domain_name(url: str) -> str: """ This function get the main domain name >>> get_domain_name("https://a.b.c.d/e/f?g=h,i=j#k") 'c.d' >>> get_domain_name("Not a URL!") '' """ return ".".join(get_sub_domain_name(url).split(".")[-2:]) # Get sub domain name (sub.example.com) def get_sub_domain_name(url: str) -> str: """ >>> get_sub_domain_name("https://a.b.c.d/e/f?g=h,i=j#k") 'a.b.c.d' >>> get_sub_domain_name("Not a URL!") '' """ return parse.urlparse(url).netloc def emails_from_url(url: str = "https://github.com") -> list: """ This function takes url and return all valid urls """ # Get the base domain from the url domain = get_domain_name(url) # Initialize the parser parser = Parser(domain) try: # Open URL r = requests.get(url) # pass the raw HTML to the parser to get links parser.feed(r.text) # Get links and loop through valid_emails = set() for link in parser.data: # open URL. # read = requests.get(link) try: read = requests.get(link) # Get the valid email. emails = re.findall("[a-zA-Z0-9]+@" + domain, read.text) # If not in list then append it. for email in emails: valid_emails.add(email) except ValueError: pass except ValueError: exit(-1) # Finally return a sorted list of email addresses with no duplicates. return sorted(valid_emails) if __name__ == "__main__": emails = emails_from_url("https://github.com") print(f"{len(emails)} emails found:") print("\n".join(sorted(emails)))
"""Get the site emails from URL.""" __author__ = "Muhammad Umer Farooq" __license__ = "MIT" __version__ = "1.0.0" __maintainer__ = "Muhammad Umer Farooq" __email__ = "[email protected]" __status__ = "Alpha" import re from html.parser import HTMLParser from urllib import parse import requests class Parser(HTMLParser): def __init__(self, domain: str): HTMLParser.__init__(self) self.data = [] self.domain = domain def handle_starttag(self, tag: str, attrs: str) -> None: """ This function parse html to take takes url from tags """ # Only parse the 'anchor' tag. if tag == "a": # Check the list of defined attributes. for name, value in attrs: # If href is defined, and not empty nor # print it. if name == "href" and value != "#" and value != "": # If not already in data. if value not in self.data: url = parse.urljoin(self.domain, value) self.data.append(url) # Get main domain name (example.com) def get_domain_name(url: str) -> str: """ This function get the main domain name >>> get_domain_name("https://a.b.c.d/e/f?g=h,i=j#k") 'c.d' >>> get_domain_name("Not a URL!") '' """ return ".".join(get_sub_domain_name(url).split(".")[-2:]) # Get sub domain name (sub.example.com) def get_sub_domain_name(url: str) -> str: """ >>> get_sub_domain_name("https://a.b.c.d/e/f?g=h,i=j#k") 'a.b.c.d' >>> get_sub_domain_name("Not a URL!") '' """ return parse.urlparse(url).netloc def emails_from_url(url: str = "https://github.com") -> list: """ This function takes url and return all valid urls """ # Get the base domain from the url domain = get_domain_name(url) # Initialize the parser parser = Parser(domain) try: # Open URL r = requests.get(url) # pass the raw HTML to the parser to get links parser.feed(r.text) # Get links and loop through valid_emails = set() for link in parser.data: # open URL. # read = requests.get(link) try: read = requests.get(link) # Get the valid email. emails = re.findall("[a-zA-Z0-9]+@" + domain, read.text) # If not in list then append it. for email in emails: valid_emails.add(email) except ValueError: pass except ValueError: exit(-1) # Finally return a sorted list of email addresses with no duplicates. return sorted(valid_emails) if __name__ == "__main__": emails = emails_from_url("https://github.com") print(f"{len(emails)} emails found:") print("\n".join(sorted(emails)))
-1
TheAlgorithms/Python
4,278
fix(mypy): Fix annotations for 13 cipher algorithms
Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
dhruvmanila
"2021-03-20T09:09:15Z"
"2021-03-22T06:59:51Z"
99a42f2b5821356718fb7d011ac711a6b4a63a83
14bcb580d55ee90614ad258ea31ef8fe4e4b5c40
fix(mypy): Fix annotations for 13 cipher algorithms. Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
""" Changing contrast with PIL This algorithm is used in https://noivce.pythonanywhere.com/ Python web app. python/black: True flake8 : True """ from PIL import Image def change_contrast(img: Image, level: int) -> Image: """ Function to change contrast """ factor = (259 * (level + 255)) / (255 * (259 - level)) def contrast(c: int) -> int: """ Fundamental Transformation/Operation that'll be performed on every bit. """ return int(128 + factor * (c - 128)) return img.point(contrast) if __name__ == "__main__": # Load image with Image.open("image_data/lena.jpg") as img: # Change contrast to 170 cont_img = change_contrast(img, 170) cont_img.save("image_data/lena_high_contrast.png", format="png")
""" Changing contrast with PIL This algorithm is used in https://noivce.pythonanywhere.com/ Python web app. python/black: True flake8 : True """ from PIL import Image def change_contrast(img: Image, level: int) -> Image: """ Function to change contrast """ factor = (259 * (level + 255)) / (255 * (259 - level)) def contrast(c: int) -> int: """ Fundamental Transformation/Operation that'll be performed on every bit. """ return int(128 + factor * (c - 128)) return img.point(contrast) if __name__ == "__main__": # Load image with Image.open("image_data/lena.jpg") as img: # Change contrast to 170 cont_img = change_contrast(img, 170) cont_img.save("image_data/lena_high_contrast.png", format="png")
-1
TheAlgorithms/Python
4,278
fix(mypy): Fix annotations for 13 cipher algorithms
Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
dhruvmanila
"2021-03-20T09:09:15Z"
"2021-03-22T06:59:51Z"
99a42f2b5821356718fb7d011ac711a6b4a63a83
14bcb580d55ee90614ad258ea31ef8fe4e4b5c40
fix(mypy): Fix annotations for 13 cipher algorithms. Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
""" A pure Python implementation of the insertion sort algorithm This algorithm sorts a collection by comparing adjacent elements. When it finds that order is not respected, it moves the element compared backward until the order is correct. It then goes back directly to the element's initial position resuming forward comparison. For doctests run following command: python3 -m doctest -v insertion_sort.py For manual testing run: python3 insertion_sort.py """ def insertion_sort(collection: list) -> list: """A pure Python implementation of the insertion sort algorithm :param collection: some mutable ordered collection with heterogeneous comparable items inside :return: the same collection ordered by ascending Examples: >>> insertion_sort([0, 5, 3, 2, 2]) [0, 2, 2, 3, 5] >>> insertion_sort([]) == sorted([]) True >>> insertion_sort([-2, -5, -45]) == sorted([-2, -5, -45]) True >>> insertion_sort(['d', 'a', 'b', 'e', 'c']) == sorted(['d', 'a', 'b', 'e', 'c']) True >>> import random >>> collection = random.sample(range(-50, 50), 100) >>> insertion_sort(collection) == sorted(collection) True >>> import string >>> collection = random.choices(string.ascii_letters + string.digits, k=100) >>> insertion_sort(collection) == sorted(collection) True """ for insert_index, insert_value in enumerate(collection[1:]): temp_index = insert_index while insert_index >= 0 and insert_value < collection[insert_index]: collection[insert_index + 1] = collection[insert_index] insert_index -= 1 if insert_index != temp_index: collection[insert_index + 1] = insert_value return collection if __name__ == "__main__": from doctest import testmod testmod() user_input = input("Enter numbers separated by a comma:\n").strip() unsorted = [int(item) for item in user_input.split(",")] print(f"{insertion_sort(unsorted) = }")
""" A pure Python implementation of the insertion sort algorithm This algorithm sorts a collection by comparing adjacent elements. When it finds that order is not respected, it moves the element compared backward until the order is correct. It then goes back directly to the element's initial position resuming forward comparison. For doctests run following command: python3 -m doctest -v insertion_sort.py For manual testing run: python3 insertion_sort.py """ def insertion_sort(collection: list) -> list: """A pure Python implementation of the insertion sort algorithm :param collection: some mutable ordered collection with heterogeneous comparable items inside :return: the same collection ordered by ascending Examples: >>> insertion_sort([0, 5, 3, 2, 2]) [0, 2, 2, 3, 5] >>> insertion_sort([]) == sorted([]) True >>> insertion_sort([-2, -5, -45]) == sorted([-2, -5, -45]) True >>> insertion_sort(['d', 'a', 'b', 'e', 'c']) == sorted(['d', 'a', 'b', 'e', 'c']) True >>> import random >>> collection = random.sample(range(-50, 50), 100) >>> insertion_sort(collection) == sorted(collection) True >>> import string >>> collection = random.choices(string.ascii_letters + string.digits, k=100) >>> insertion_sort(collection) == sorted(collection) True """ for insert_index, insert_value in enumerate(collection[1:]): temp_index = insert_index while insert_index >= 0 and insert_value < collection[insert_index]: collection[insert_index + 1] = collection[insert_index] insert_index -= 1 if insert_index != temp_index: collection[insert_index + 1] = insert_value return collection if __name__ == "__main__": from doctest import testmod testmod() user_input = input("Enter numbers separated by a comma:\n").strip() unsorted = [int(item) for item in user_input.split(",")] print(f"{insertion_sort(unsorted) = }")
-1
TheAlgorithms/Python
4,278
fix(mypy): Fix annotations for 13 cipher algorithms
Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
dhruvmanila
"2021-03-20T09:09:15Z"
"2021-03-22T06:59:51Z"
99a42f2b5821356718fb7d011ac711a6b4a63a83
14bcb580d55ee90614ad258ea31ef8fe4e4b5c40
fix(mypy): Fix annotations for 13 cipher algorithms. Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
""" Pure Python implementation of the jump search algorithm. This algorithm iterates through a sorted collection with a step of n^(1/2), until the element compared is bigger than the one searched. It will then perform a linear search until it matches the wanted number. If not found, it returns -1. """ import math def jump_search(arr: list, x: int) -> int: """ Pure Python implementation of the jump search algorithm. Examples: >>> jump_search([0, 1, 2, 3, 4, 5], 3) 3 >>> jump_search([-5, -2, -1], -1) 2 >>> jump_search([0, 5, 10, 20], 8) -1 >>> jump_search([0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610], 55) 10 """ n = len(arr) step = int(math.floor(math.sqrt(n))) prev = 0 while arr[min(step, n) - 1] < x: prev = step step += int(math.floor(math.sqrt(n))) if prev >= n: return -1 while arr[prev] < x: prev = prev + 1 if prev == min(step, n): return -1 if arr[prev] == x: return prev return -1 if __name__ == "__main__": user_input = input("Enter numbers separated by a comma:\n").strip() arr = [int(item) for item in user_input.split(",")] x = int(input("Enter the number to be searched:\n")) res = jump_search(arr, x) if res == -1: print("Number not found!") else: print(f"Number {x} is at index {res}")
""" Pure Python implementation of the jump search algorithm. This algorithm iterates through a sorted collection with a step of n^(1/2), until the element compared is bigger than the one searched. It will then perform a linear search until it matches the wanted number. If not found, it returns -1. """ import math def jump_search(arr: list, x: int) -> int: """ Pure Python implementation of the jump search algorithm. Examples: >>> jump_search([0, 1, 2, 3, 4, 5], 3) 3 >>> jump_search([-5, -2, -1], -1) 2 >>> jump_search([0, 5, 10, 20], 8) -1 >>> jump_search([0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610], 55) 10 """ n = len(arr) step = int(math.floor(math.sqrt(n))) prev = 0 while arr[min(step, n) - 1] < x: prev = step step += int(math.floor(math.sqrt(n))) if prev >= n: return -1 while arr[prev] < x: prev = prev + 1 if prev == min(step, n): return -1 if arr[prev] == x: return prev return -1 if __name__ == "__main__": user_input = input("Enter numbers separated by a comma:\n").strip() arr = [int(item) for item in user_input.split(",")] x = int(input("Enter the number to be searched:\n")) res = jump_search(arr, x) if res == -1: print("Number not found!") else: print(f"Number {x} is at index {res}")
-1
TheAlgorithms/Python
4,278
fix(mypy): Fix annotations for 13 cipher algorithms
Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
dhruvmanila
"2021-03-20T09:09:15Z"
"2021-03-22T06:59:51Z"
99a42f2b5821356718fb7d011ac711a6b4a63a83
14bcb580d55ee90614ad258ea31ef8fe4e4b5c40
fix(mypy): Fix annotations for 13 cipher algorithms. Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
""" https://en.wikipedia.org/wiki/Rayleigh_quotient """ import numpy as np def is_hermitian(matrix: np.array) -> bool: """ Checks if a matrix is Hermitian. >>> import numpy as np >>> A = np.array([ ... [2, 2+1j, 4], ... [2-1j, 3, 1j], ... [4, -1j, 1]]) >>> is_hermitian(A) True >>> A = np.array([ ... [2, 2+1j, 4+1j], ... [2-1j, 3, 1j], ... [4, -1j, 1]]) >>> is_hermitian(A) False """ return np.array_equal(matrix, matrix.conjugate().T) def rayleigh_quotient(A: np.array, v: np.array) -> float: """ Returns the Rayleigh quotient of a Hermitian matrix A and vector v. >>> import numpy as np >>> A = np.array([ ... [1, 2, 4], ... [2, 3, -1], ... [4, -1, 1] ... ]) >>> v = np.array([ ... [1], ... [2], ... [3] ... ]) >>> rayleigh_quotient(A, v) array([[3.]]) """ v_star = v.conjugate().T return (v_star.dot(A).dot(v)) / (v_star.dot(v)) def tests() -> None: A = np.array([[2, 2 + 1j, 4], [2 - 1j, 3, 1j], [4, -1j, 1]]) v = np.array([[1], [2], [3]]) assert is_hermitian(A), f"{A} is not hermitian." print(rayleigh_quotient(A, v)) A = np.array([[1, 2, 4], [2, 3, -1], [4, -1, 1]]) assert is_hermitian(A), f"{A} is not hermitian." assert rayleigh_quotient(A, v) == float(3) if __name__ == "__main__": import doctest doctest.testmod() tests()
""" https://en.wikipedia.org/wiki/Rayleigh_quotient """ import numpy as np def is_hermitian(matrix: np.array) -> bool: """ Checks if a matrix is Hermitian. >>> import numpy as np >>> A = np.array([ ... [2, 2+1j, 4], ... [2-1j, 3, 1j], ... [4, -1j, 1]]) >>> is_hermitian(A) True >>> A = np.array([ ... [2, 2+1j, 4+1j], ... [2-1j, 3, 1j], ... [4, -1j, 1]]) >>> is_hermitian(A) False """ return np.array_equal(matrix, matrix.conjugate().T) def rayleigh_quotient(A: np.array, v: np.array) -> float: """ Returns the Rayleigh quotient of a Hermitian matrix A and vector v. >>> import numpy as np >>> A = np.array([ ... [1, 2, 4], ... [2, 3, -1], ... [4, -1, 1] ... ]) >>> v = np.array([ ... [1], ... [2], ... [3] ... ]) >>> rayleigh_quotient(A, v) array([[3.]]) """ v_star = v.conjugate().T return (v_star.dot(A).dot(v)) / (v_star.dot(v)) def tests() -> None: A = np.array([[2, 2 + 1j, 4], [2 - 1j, 3, 1j], [4, -1j, 1]]) v = np.array([[1], [2], [3]]) assert is_hermitian(A), f"{A} is not hermitian." print(rayleigh_quotient(A, v)) A = np.array([[1, 2, 4], [2, 3, -1], [4, -1, 1]]) assert is_hermitian(A), f"{A} is not hermitian." assert rayleigh_quotient(A, v) == float(3) if __name__ == "__main__": import doctest doctest.testmod() tests()
-1
TheAlgorithms/Python
4,278
fix(mypy): Fix annotations for 13 cipher algorithms
Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
dhruvmanila
"2021-03-20T09:09:15Z"
"2021-03-22T06:59:51Z"
99a42f2b5821356718fb7d011ac711a6b4a63a83
14bcb580d55ee90614ad258ea31ef8fe4e4b5c40
fix(mypy): Fix annotations for 13 cipher algorithms. Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
""" The Reverse Polish Nation also known as Polish postfix notation or simply postfix notation. https://en.wikipedia.org/wiki/Reverse_Polish_notation Classic examples of simple stack implementations Valid operators are +, -, *, /. Each operand may be an integer or another expression. """ def evaluate_postfix(postfix_notation: list) -> int: """ >>> evaluate_postfix(["2", "1", "+", "3", "*"]) 9 >>> evaluate_postfix(["4", "13", "5", "/", "+"]) 6 >>> evaluate_postfix([]) 0 """ if not postfix_notation: return 0 operations = {"+", "-", "*", "/"} stack = [] for token in postfix_notation: if token in operations: b, a = stack.pop(), stack.pop() if token == "+": stack.append(a + b) elif token == "-": stack.append(a - b) elif token == "*": stack.append(a * b) else: if a * b < 0 and a % b != 0: stack.append(a // b + 1) else: stack.append(a // b) else: stack.append(int(token)) return stack.pop() if __name__ == "__main__": import doctest doctest.testmod()
""" The Reverse Polish Nation also known as Polish postfix notation or simply postfix notation. https://en.wikipedia.org/wiki/Reverse_Polish_notation Classic examples of simple stack implementations Valid operators are +, -, *, /. Each operand may be an integer or another expression. """ def evaluate_postfix(postfix_notation: list) -> int: """ >>> evaluate_postfix(["2", "1", "+", "3", "*"]) 9 >>> evaluate_postfix(["4", "13", "5", "/", "+"]) 6 >>> evaluate_postfix([]) 0 """ if not postfix_notation: return 0 operations = {"+", "-", "*", "/"} stack = [] for token in postfix_notation: if token in operations: b, a = stack.pop(), stack.pop() if token == "+": stack.append(a + b) elif token == "-": stack.append(a - b) elif token == "*": stack.append(a * b) else: if a * b < 0 and a % b != 0: stack.append(a // b + 1) else: stack.append(a // b) else: stack.append(int(token)) return stack.pop() if __name__ == "__main__": import doctest doctest.testmod()
-1
TheAlgorithms/Python
4,278
fix(mypy): Fix annotations for 13 cipher algorithms
Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
dhruvmanila
"2021-03-20T09:09:15Z"
"2021-03-22T06:59:51Z"
99a42f2b5821356718fb7d011ac711a6b4a63a83
14bcb580d55ee90614ad258ea31ef8fe4e4b5c40
fix(mypy): Fix annotations for 13 cipher algorithms. Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
-1
TheAlgorithms/Python
4,278
fix(mypy): Fix annotations for 13 cipher algorithms
Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
dhruvmanila
"2021-03-20T09:09:15Z"
"2021-03-22T06:59:51Z"
99a42f2b5821356718fb7d011ac711a6b4a63a83
14bcb580d55ee90614ad258ea31ef8fe4e4b5c40
fix(mypy): Fix annotations for 13 cipher algorithms. Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
import json import requests from .fetch_github_info import AUTHENTICATED_USER_ENDPOINT, fetch_github_info def test_fetch_github_info(monkeypatch): class FakeResponse: def __init__(self, content) -> None: assert isinstance(content, (bytes, str)) self.content = content def json(self): return json.loads(self.content) def mock_response(*args, **kwargs): assert args[0] == AUTHENTICATED_USER_ENDPOINT assert "Authorization" in kwargs["headers"] assert kwargs["headers"]["Authorization"].startswith("token ") assert "Accept" in kwargs["headers"] return FakeResponse(b'{"login":"test","id":1}') monkeypatch.setattr(requests, "get", mock_response) result = fetch_github_info("token") assert result["login"] == "test" assert result["id"] == 1
import json import requests from .fetch_github_info import AUTHENTICATED_USER_ENDPOINT, fetch_github_info def test_fetch_github_info(monkeypatch): class FakeResponse: def __init__(self, content) -> None: assert isinstance(content, (bytes, str)) self.content = content def json(self): return json.loads(self.content) def mock_response(*args, **kwargs): assert args[0] == AUTHENTICATED_USER_ENDPOINT assert "Authorization" in kwargs["headers"] assert kwargs["headers"]["Authorization"].startswith("token ") assert "Accept" in kwargs["headers"] return FakeResponse(b'{"login":"test","id":1}') monkeypatch.setattr(requests, "get", mock_response) result = fetch_github_info("token") assert result["login"] == "test" assert result["id"] == 1
-1
TheAlgorithms/Python
4,278
fix(mypy): Fix annotations for 13 cipher algorithms
Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
dhruvmanila
"2021-03-20T09:09:15Z"
"2021-03-22T06:59:51Z"
99a42f2b5821356718fb7d011ac711a6b4a63a83
14bcb580d55ee90614ad258ea31ef8fe4e4b5c40
fix(mypy): Fix annotations for 13 cipher algorithms. Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
""" python/black : True """ from __future__ import annotations def prime_factors(n: int) -> list[int]: """ Returns prime factors of n as a list. >>> prime_factors(0) [] >>> prime_factors(100) [2, 2, 5, 5] >>> prime_factors(2560) [2, 2, 2, 2, 2, 2, 2, 2, 2, 5] >>> prime_factors(10**-2) [] >>> prime_factors(0.02) [] >>> x = prime_factors(10**241) # doctest: +NORMALIZE_WHITESPACE >>> x == [2]*241 + [5]*241 True >>> prime_factors(10**-354) [] >>> prime_factors('hello') Traceback (most recent call last): ... TypeError: '<=' not supported between instances of 'int' and 'str' >>> prime_factors([1,2,'hello']) Traceback (most recent call last): ... TypeError: '<=' not supported between instances of 'int' and 'list' """ i = 2 factors = [] while i * i <= n: if n % i: i += 1 else: n //= i factors.append(i) if n > 1: factors.append(n) return factors if __name__ == "__main__": import doctest doctest.testmod()
""" python/black : True """ from __future__ import annotations def prime_factors(n: int) -> list[int]: """ Returns prime factors of n as a list. >>> prime_factors(0) [] >>> prime_factors(100) [2, 2, 5, 5] >>> prime_factors(2560) [2, 2, 2, 2, 2, 2, 2, 2, 2, 5] >>> prime_factors(10**-2) [] >>> prime_factors(0.02) [] >>> x = prime_factors(10**241) # doctest: +NORMALIZE_WHITESPACE >>> x == [2]*241 + [5]*241 True >>> prime_factors(10**-354) [] >>> prime_factors('hello') Traceback (most recent call last): ... TypeError: '<=' not supported between instances of 'int' and 'str' >>> prime_factors([1,2,'hello']) Traceback (most recent call last): ... TypeError: '<=' not supported between instances of 'int' and 'list' """ i = 2 factors = [] while i * i <= n: if n % i: i += 1 else: n //= i factors.append(i) if n > 1: factors.append(n) return factors if __name__ == "__main__": import doctest doctest.testmod()
-1
TheAlgorithms/Python
4,278
fix(mypy): Fix annotations for 13 cipher algorithms
Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
dhruvmanila
"2021-03-20T09:09:15Z"
"2021-03-22T06:59:51Z"
99a42f2b5821356718fb7d011ac711a6b4a63a83
14bcb580d55ee90614ad258ea31ef8fe4e4b5c40
fix(mypy): Fix annotations for 13 cipher algorithms. Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
""" Project Euler Problem 56: https://projecteuler.net/problem=56 A googol (10^100) is a massive number: one followed by one-hundred zeros; 100^100 is almost unimaginably large: one followed by two-hundred zeros. Despite their size, the sum of the digits in each number is only 1. Considering natural numbers of the form, ab, where a, b < 100, what is the maximum digital sum? """ def solution(a: int = 100, b: int = 100) -> int: """ Considering natural numbers of the form, a**b, where a, b < 100, what is the maximum digital sum? :param a: :param b: :return: >>> solution(10,10) 45 >>> solution(100,100) 972 >>> solution(100,200) 1872 """ # RETURN the MAXIMUM from the list of SUMs of the list of INT converted from STR of # BASE raised to the POWER return max( [ sum([int(x) for x in str(base ** power)]) for base in range(a) for power in range(b) ] ) # Tests if __name__ == "__main__": import doctest doctest.testmod()
""" Project Euler Problem 56: https://projecteuler.net/problem=56 A googol (10^100) is a massive number: one followed by one-hundred zeros; 100^100 is almost unimaginably large: one followed by two-hundred zeros. Despite their size, the sum of the digits in each number is only 1. Considering natural numbers of the form, ab, where a, b < 100, what is the maximum digital sum? """ def solution(a: int = 100, b: int = 100) -> int: """ Considering natural numbers of the form, a**b, where a, b < 100, what is the maximum digital sum? :param a: :param b: :return: >>> solution(10,10) 45 >>> solution(100,100) 972 >>> solution(100,200) 1872 """ # RETURN the MAXIMUM from the list of SUMs of the list of INT converted from STR of # BASE raised to the POWER return max( [ sum([int(x) for x in str(base ** power)]) for base in range(a) for power in range(b) ] ) # Tests if __name__ == "__main__": import doctest doctest.testmod()
-1
TheAlgorithms/Python
4,278
fix(mypy): Fix annotations for 13 cipher algorithms
Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
dhruvmanila
"2021-03-20T09:09:15Z"
"2021-03-22T06:59:51Z"
99a42f2b5821356718fb7d011ac711a6b4a63a83
14bcb580d55ee90614ad258ea31ef8fe4e4b5c40
fix(mypy): Fix annotations for 13 cipher algorithms. Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
from typing import List def kmp(pattern: str, text: str) -> bool: """ The Knuth-Morris-Pratt Algorithm for finding a pattern within a piece of text with complexity O(n + m) 1) Preprocess pattern to identify any suffixes that are identical to prefixes This tells us where to continue from if we get a mismatch between a character in our pattern and the text. 2) Step through the text one character at a time and compare it to a character in the pattern updating our location within the pattern if necessary """ # 1) Construct the failure array failure = get_failure_array(pattern) # 2) Step through text searching for pattern i, j = 0, 0 # index into text, pattern while i < len(text): if pattern[j] == text[i]: if j == (len(pattern) - 1): return True j += 1 # if this is a prefix in our pattern # just go back far enough to continue elif j > 0: j = failure[j - 1] continue i += 1 return False def get_failure_array(pattern: str) -> List[int]: """ Calculates the new index we should go to if we fail a comparison :param pattern: :return: """ failure = [0] i = 0 j = 1 while j < len(pattern): if pattern[i] == pattern[j]: i += 1 elif i > 0: i = failure[i - 1] continue j += 1 failure.append(i) return failure if __name__ == "__main__": # Test 1) pattern = "abc1abc12" text1 = "alskfjaldsabc1abc1abc12k23adsfabcabc" text2 = "alskfjaldsk23adsfabcabc" assert kmp(pattern, text1) and not kmp(pattern, text2) # Test 2) pattern = "ABABX" text = "ABABZABABYABABX" assert kmp(pattern, text) # Test 3) pattern = "AAAB" text = "ABAAAAAB" assert kmp(pattern, text) # Test 4) pattern = "abcdabcy" text = "abcxabcdabxabcdabcdabcy" assert kmp(pattern, text) # Test 5) pattern = "aabaabaaa" assert get_failure_array(pattern) == [0, 1, 0, 1, 2, 3, 4, 5, 2]
from typing import List def kmp(pattern: str, text: str) -> bool: """ The Knuth-Morris-Pratt Algorithm for finding a pattern within a piece of text with complexity O(n + m) 1) Preprocess pattern to identify any suffixes that are identical to prefixes This tells us where to continue from if we get a mismatch between a character in our pattern and the text. 2) Step through the text one character at a time and compare it to a character in the pattern updating our location within the pattern if necessary """ # 1) Construct the failure array failure = get_failure_array(pattern) # 2) Step through text searching for pattern i, j = 0, 0 # index into text, pattern while i < len(text): if pattern[j] == text[i]: if j == (len(pattern) - 1): return True j += 1 # if this is a prefix in our pattern # just go back far enough to continue elif j > 0: j = failure[j - 1] continue i += 1 return False def get_failure_array(pattern: str) -> List[int]: """ Calculates the new index we should go to if we fail a comparison :param pattern: :return: """ failure = [0] i = 0 j = 1 while j < len(pattern): if pattern[i] == pattern[j]: i += 1 elif i > 0: i = failure[i - 1] continue j += 1 failure.append(i) return failure if __name__ == "__main__": # Test 1) pattern = "abc1abc12" text1 = "alskfjaldsabc1abc1abc12k23adsfabcabc" text2 = "alskfjaldsk23adsfabcabc" assert kmp(pattern, text1) and not kmp(pattern, text2) # Test 2) pattern = "ABABX" text = "ABABZABABYABABX" assert kmp(pattern, text) # Test 3) pattern = "AAAB" text = "ABAAAAAB" assert kmp(pattern, text) # Test 4) pattern = "abcdabcy" text = "abcxabcdabxabcdabcdabcy" assert kmp(pattern, text) # Test 5) pattern = "aabaabaaa" assert get_failure_array(pattern) == [0, 1, 0, 1, 2, 3, 4, 5, 2]
-1
TheAlgorithms/Python
4,278
fix(mypy): Fix annotations for 13 cipher algorithms
Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
dhruvmanila
"2021-03-20T09:09:15Z"
"2021-03-22T06:59:51Z"
99a42f2b5821356718fb7d011ac711a6b4a63a83
14bcb580d55ee90614ad258ea31ef8fe4e4b5c40
fix(mypy): Fix annotations for 13 cipher algorithms. Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
""" Problem 34: https://projecteuler.net/problem=34 145 is a curious number, as 1! + 4! + 5! = 1 + 24 + 120 = 145. Find the sum of all numbers which are equal to the sum of the factorial of their digits. Note: As 1! = 1 and 2! = 2 are not sums they are not included. """ from math import factorial def sum_of_digit_factorial(n: int) -> int: """ Returns the sum of the digits in n >>> sum_of_digit_factorial(15) 121 >>> sum_of_digit_factorial(0) 1 """ return sum(factorial(int(char)) for char in str(n)) def solution() -> int: """ Returns the sum of all numbers whose sum of the factorials of all digits add up to the number itself. >>> solution() 40730 """ limit = 7 * factorial(9) + 1 return sum(i for i in range(3, limit) if sum_of_digit_factorial(i) == i) if __name__ == "__main__": print(f"{solution()} = ")
""" Problem 34: https://projecteuler.net/problem=34 145 is a curious number, as 1! + 4! + 5! = 1 + 24 + 120 = 145. Find the sum of all numbers which are equal to the sum of the factorial of their digits. Note: As 1! = 1 and 2! = 2 are not sums they are not included. """ from math import factorial def sum_of_digit_factorial(n: int) -> int: """ Returns the sum of the digits in n >>> sum_of_digit_factorial(15) 121 >>> sum_of_digit_factorial(0) 1 """ return sum(factorial(int(char)) for char in str(n)) def solution() -> int: """ Returns the sum of all numbers whose sum of the factorials of all digits add up to the number itself. >>> solution() 40730 """ limit = 7 * factorial(9) + 1 return sum(i for i in range(3, limit) if sum_of_digit_factorial(i) == i) if __name__ == "__main__": print(f"{solution()} = ")
-1
TheAlgorithms/Python
4,278
fix(mypy): Fix annotations for 13 cipher algorithms
Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
dhruvmanila
"2021-03-20T09:09:15Z"
"2021-03-22T06:59:51Z"
99a42f2b5821356718fb7d011ac711a6b4a63a83
14bcb580d55ee90614ad258ea31ef8fe4e4b5c40
fix(mypy): Fix annotations for 13 cipher algorithms. Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
def bailey_borwein_plouffe(digit_position: int, precision: int = 1000) -> str: """ Implement a popular pi-digit-extraction algorithm known as the Bailey-Borwein-Plouffe (BBP) formula to calculate the nth hex digit of pi. Wikipedia page: https://en.wikipedia.org/wiki/Bailey%E2%80%93Borwein%E2%80%93Plouffe_formula @param digit_position: a positive integer representing the position of the digit to extract. The digit immediately after the decimal point is located at position 1. @param precision: number of terms in the second summation to calculate. A higher number reduces the chance of an error but increases the runtime. @return: a hexadecimal digit representing the digit at the nth position in pi's decimal expansion. >>> "".join(bailey_borwein_plouffe(i) for i in range(1, 11)) '243f6a8885' >>> bailey_borwein_plouffe(5, 10000) '6' >>> bailey_borwein_plouffe(-10) Traceback (most recent call last): ... ValueError: Digit position must be a positive integer >>> bailey_borwein_plouffe(0) Traceback (most recent call last): ... ValueError: Digit position must be a positive integer >>> bailey_borwein_plouffe(1.7) Traceback (most recent call last): ... ValueError: Digit position must be a positive integer >>> bailey_borwein_plouffe(2, -10) Traceback (most recent call last): ... ValueError: Precision must be a nonnegative integer >>> bailey_borwein_plouffe(2, 1.6) Traceback (most recent call last): ... ValueError: Precision must be a nonnegative integer """ if (not isinstance(digit_position, int)) or (digit_position <= 0): raise ValueError("Digit position must be a positive integer") elif (not isinstance(precision, int)) or (precision < 0): raise ValueError("Precision must be a nonnegative integer") # compute an approximation of (16 ** (n - 1)) * pi whose fractional part is mostly # accurate sum_result = ( 4 * _subsum(digit_position, 1, precision) - 2 * _subsum(digit_position, 4, precision) - _subsum(digit_position, 5, precision) - _subsum(digit_position, 6, precision) ) # return the first hex digit of the fractional part of the result return hex(int((sum_result % 1) * 16))[2:] def _subsum( digit_pos_to_extract: int, denominator_addend: int, precision: int ) -> float: # only care about first digit of fractional part; don't need decimal """ Private helper function to implement the summation functionality. @param digit_pos_to_extract: digit position to extract @param denominator_addend: added to denominator of fractions in the formula @param precision: same as precision in main function @return: floating-point number whose integer part is not important """ sum = 0.0 for sum_index in range(digit_pos_to_extract + precision): denominator = 8 * sum_index + denominator_addend exponential_term = 0.0 if sum_index < digit_pos_to_extract: # if the exponential term is an integer and we mod it by the denominator # before dividing, only the integer part of the sum will change; # the fractional part will not exponential_term = pow( 16, digit_pos_to_extract - 1 - sum_index, denominator ) else: exponential_term = pow(16, digit_pos_to_extract - 1 - sum_index) sum += exponential_term / denominator return sum if __name__ == "__main__": import doctest doctest.testmod()
def bailey_borwein_plouffe(digit_position: int, precision: int = 1000) -> str: """ Implement a popular pi-digit-extraction algorithm known as the Bailey-Borwein-Plouffe (BBP) formula to calculate the nth hex digit of pi. Wikipedia page: https://en.wikipedia.org/wiki/Bailey%E2%80%93Borwein%E2%80%93Plouffe_formula @param digit_position: a positive integer representing the position of the digit to extract. The digit immediately after the decimal point is located at position 1. @param precision: number of terms in the second summation to calculate. A higher number reduces the chance of an error but increases the runtime. @return: a hexadecimal digit representing the digit at the nth position in pi's decimal expansion. >>> "".join(bailey_borwein_plouffe(i) for i in range(1, 11)) '243f6a8885' >>> bailey_borwein_plouffe(5, 10000) '6' >>> bailey_borwein_plouffe(-10) Traceback (most recent call last): ... ValueError: Digit position must be a positive integer >>> bailey_borwein_plouffe(0) Traceback (most recent call last): ... ValueError: Digit position must be a positive integer >>> bailey_borwein_plouffe(1.7) Traceback (most recent call last): ... ValueError: Digit position must be a positive integer >>> bailey_borwein_plouffe(2, -10) Traceback (most recent call last): ... ValueError: Precision must be a nonnegative integer >>> bailey_borwein_plouffe(2, 1.6) Traceback (most recent call last): ... ValueError: Precision must be a nonnegative integer """ if (not isinstance(digit_position, int)) or (digit_position <= 0): raise ValueError("Digit position must be a positive integer") elif (not isinstance(precision, int)) or (precision < 0): raise ValueError("Precision must be a nonnegative integer") # compute an approximation of (16 ** (n - 1)) * pi whose fractional part is mostly # accurate sum_result = ( 4 * _subsum(digit_position, 1, precision) - 2 * _subsum(digit_position, 4, precision) - _subsum(digit_position, 5, precision) - _subsum(digit_position, 6, precision) ) # return the first hex digit of the fractional part of the result return hex(int((sum_result % 1) * 16))[2:] def _subsum( digit_pos_to_extract: int, denominator_addend: int, precision: int ) -> float: # only care about first digit of fractional part; don't need decimal """ Private helper function to implement the summation functionality. @param digit_pos_to_extract: digit position to extract @param denominator_addend: added to denominator of fractions in the formula @param precision: same as precision in main function @return: floating-point number whose integer part is not important """ sum = 0.0 for sum_index in range(digit_pos_to_extract + precision): denominator = 8 * sum_index + denominator_addend exponential_term = 0.0 if sum_index < digit_pos_to_extract: # if the exponential term is an integer and we mod it by the denominator # before dividing, only the integer part of the sum will change; # the fractional part will not exponential_term = pow( 16, digit_pos_to_extract - 1 - sum_index, denominator ) else: exponential_term = pow(16, digit_pos_to_extract - 1 - sum_index) sum += exponential_term / denominator return sum if __name__ == "__main__": import doctest doctest.testmod()
-1
TheAlgorithms/Python
4,278
fix(mypy): Fix annotations for 13 cipher algorithms
Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
dhruvmanila
"2021-03-20T09:09:15Z"
"2021-03-22T06:59:51Z"
99a42f2b5821356718fb7d011ac711a6b4a63a83
14bcb580d55ee90614ad258ea31ef8fe4e4b5c40
fix(mypy): Fix annotations for 13 cipher algorithms. Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
""" Problem 120 Square remainders: https://projecteuler.net/problem=120 Description: Let r be the remainder when (a−1)^n + (a+1)^n is divided by a^2. For example, if a = 7 and n = 3, then r = 42: 6^3 + 8^3 = 728 ≡ 42 mod 49. And as n varies, so too will r, but for a = 7 it turns out that r_max = 42. For 3 ≤ a ≤ 1000, find ∑ r_max. Solution: On expanding the terms, we get 2 if n is even and 2an if n is odd. For maximizing the value, 2an < a*a => n <= (a - 1)/2 (integer division) """ def solution(n: int = 1000) -> int: """ Returns ∑ r_max for 3 <= a <= n as explained above >>> solution(10) 300 >>> solution(100) 330750 >>> solution(1000) 333082500 """ return sum(2 * a * ((a - 1) // 2) for a in range(3, n + 1)) if __name__ == "__main__": print(solution())
""" Problem 120 Square remainders: https://projecteuler.net/problem=120 Description: Let r be the remainder when (a−1)^n + (a+1)^n is divided by a^2. For example, if a = 7 and n = 3, then r = 42: 6^3 + 8^3 = 728 ≡ 42 mod 49. And as n varies, so too will r, but for a = 7 it turns out that r_max = 42. For 3 ≤ a ≤ 1000, find ∑ r_max. Solution: On expanding the terms, we get 2 if n is even and 2an if n is odd. For maximizing the value, 2an < a*a => n <= (a - 1)/2 (integer division) """ def solution(n: int = 1000) -> int: """ Returns ∑ r_max for 3 <= a <= n as explained above >>> solution(10) 300 >>> solution(100) 330750 >>> solution(1000) 333082500 """ return sum(2 * a * ((a - 1) // 2) for a in range(3, n + 1)) if __name__ == "__main__": print(solution())
-1
TheAlgorithms/Python
4,278
fix(mypy): Fix annotations for 13 cipher algorithms
Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
dhruvmanila
"2021-03-20T09:09:15Z"
"2021-03-22T06:59:51Z"
99a42f2b5821356718fb7d011ac711a6b4a63a83
14bcb580d55ee90614ad258ea31ef8fe4e4b5c40
fix(mypy): Fix annotations for 13 cipher algorithms. Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
""" Project Euler Problem 4: https://projecteuler.net/problem=4 Largest palindrome product A palindromic number reads the same both ways. The largest palindrome made from the product of two 2-digit numbers is 9009 = 91 × 99. Find the largest palindrome made from the product of two 3-digit numbers. References: - https://en.wikipedia.org/wiki/Palindromic_number """ def solution(n: int = 998001) -> int: """ Returns the largest palindrome made from the product of two 3-digit numbers which is less than n. >>> solution(20000) 19591 >>> solution(30000) 29992 >>> solution(40000) 39893 >>> solution(10000) Traceback (most recent call last): ... ValueError: That number is larger than our acceptable range. """ # fetches the next number for number in range(n - 1, 9999, -1): str_number = str(number) # checks whether 'str_number' is a palindrome. if str_number == str_number[::-1]: divisor = 999 # if 'number' is a product of two 3-digit numbers # then number is the answer otherwise fetch next number. while divisor != 99: if (number % divisor == 0) and (len(str(number // divisor)) == 3.0): return number divisor -= 1 raise ValueError("That number is larger than our acceptable range.") if __name__ == "__main__": print(f"{solution() = }")
""" Project Euler Problem 4: https://projecteuler.net/problem=4 Largest palindrome product A palindromic number reads the same both ways. The largest palindrome made from the product of two 2-digit numbers is 9009 = 91 × 99. Find the largest palindrome made from the product of two 3-digit numbers. References: - https://en.wikipedia.org/wiki/Palindromic_number """ def solution(n: int = 998001) -> int: """ Returns the largest palindrome made from the product of two 3-digit numbers which is less than n. >>> solution(20000) 19591 >>> solution(30000) 29992 >>> solution(40000) 39893 >>> solution(10000) Traceback (most recent call last): ... ValueError: That number is larger than our acceptable range. """ # fetches the next number for number in range(n - 1, 9999, -1): str_number = str(number) # checks whether 'str_number' is a palindrome. if str_number == str_number[::-1]: divisor = 999 # if 'number' is a product of two 3-digit numbers # then number is the answer otherwise fetch next number. while divisor != 99: if (number % divisor == 0) and (len(str(number // divisor)) == 3.0): return number divisor -= 1 raise ValueError("That number is larger than our acceptable range.") if __name__ == "__main__": print(f"{solution() = }")
-1
TheAlgorithms/Python
4,278
fix(mypy): Fix annotations for 13 cipher algorithms
Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
dhruvmanila
"2021-03-20T09:09:15Z"
"2021-03-22T06:59:51Z"
99a42f2b5821356718fb7d011ac711a6b4a63a83
14bcb580d55ee90614ad258ea31ef8fe4e4b5c40
fix(mypy): Fix annotations for 13 cipher algorithms. Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
""" Project Euler Problem 1: https://projecteuler.net/problem=1 Multiples of 3 and 5 If we list all the natural numbers below 10 that are multiples of 3 or 5, we get 3, 5, 6 and 9. The sum of these multiples is 23. Find the sum of all the multiples of 3 or 5 below 1000. """ def solution(n: int = 1000) -> int: """ Returns the sum of all the multiples of 3 or 5 below n. >>> solution(3) 0 >>> solution(4) 3 >>> solution(10) 23 >>> solution(600) 83700 """ total = 0 terms = (n - 1) // 3 total += ((terms) * (6 + (terms - 1) * 3)) // 2 # total of an A.P. terms = (n - 1) // 5 total += ((terms) * (10 + (terms - 1) * 5)) // 2 terms = (n - 1) // 15 total -= ((terms) * (30 + (terms - 1) * 15)) // 2 return total if __name__ == "__main__": print(f"{solution() = }")
""" Project Euler Problem 1: https://projecteuler.net/problem=1 Multiples of 3 and 5 If we list all the natural numbers below 10 that are multiples of 3 or 5, we get 3, 5, 6 and 9. The sum of these multiples is 23. Find the sum of all the multiples of 3 or 5 below 1000. """ def solution(n: int = 1000) -> int: """ Returns the sum of all the multiples of 3 or 5 below n. >>> solution(3) 0 >>> solution(4) 3 >>> solution(10) 23 >>> solution(600) 83700 """ total = 0 terms = (n - 1) // 3 total += ((terms) * (6 + (terms - 1) * 3)) // 2 # total of an A.P. terms = (n - 1) // 5 total += ((terms) * (10 + (terms - 1) * 5)) // 2 terms = (n - 1) // 15 total -= ((terms) * (30 + (terms - 1) * 15)) // 2 return total if __name__ == "__main__": print(f"{solution() = }")
-1
TheAlgorithms/Python
4,278
fix(mypy): Fix annotations for 13 cipher algorithms
Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
dhruvmanila
"2021-03-20T09:09:15Z"
"2021-03-22T06:59:51Z"
99a42f2b5821356718fb7d011ac711a6b4a63a83
14bcb580d55ee90614ad258ea31ef8fe4e4b5c40
fix(mypy): Fix annotations for 13 cipher algorithms. Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
""" In this problem, we want to determine all possible permutations of the given sequence. We use backtracking to solve this problem. Time complexity: O(n! * n), where n denotes the length of the given sequence. """ from typing import List, Union def generate_all_permutations(sequence: List[Union[int, str]]) -> None: create_state_space_tree(sequence, [], 0, [0 for i in range(len(sequence))]) def create_state_space_tree( sequence: List[Union[int, str]], current_sequence: List[Union[int, str]], index: int, index_used: List[int], ) -> None: """ Creates a state space tree to iterate through each branch using DFS. We know that each state has exactly len(sequence) - index children. It terminates when it reaches the end of the given sequence. """ if index == len(sequence): print(current_sequence) return for i in range(len(sequence)): if not index_used[i]: current_sequence.append(sequence[i]) index_used[i] = True create_state_space_tree(sequence, current_sequence, index + 1, index_used) current_sequence.pop() index_used[i] = False """ remove the comment to take an input from the user print("Enter the elements") sequence = list(map(int, input().split())) """ sequence: List[Union[int, str]] = [3, 1, 2, 4] generate_all_permutations(sequence) sequence_2: List[Union[int, str]] = ["A", "B", "C"] generate_all_permutations(sequence_2)
""" In this problem, we want to determine all possible permutations of the given sequence. We use backtracking to solve this problem. Time complexity: O(n! * n), where n denotes the length of the given sequence. """ from typing import List, Union def generate_all_permutations(sequence: List[Union[int, str]]) -> None: create_state_space_tree(sequence, [], 0, [0 for i in range(len(sequence))]) def create_state_space_tree( sequence: List[Union[int, str]], current_sequence: List[Union[int, str]], index: int, index_used: List[int], ) -> None: """ Creates a state space tree to iterate through each branch using DFS. We know that each state has exactly len(sequence) - index children. It terminates when it reaches the end of the given sequence. """ if index == len(sequence): print(current_sequence) return for i in range(len(sequence)): if not index_used[i]: current_sequence.append(sequence[i]) index_used[i] = True create_state_space_tree(sequence, current_sequence, index + 1, index_used) current_sequence.pop() index_used[i] = False """ remove the comment to take an input from the user print("Enter the elements") sequence = list(map(int, input().split())) """ sequence: List[Union[int, str]] = [3, 1, 2, 4] generate_all_permutations(sequence) sequence_2: List[Union[int, str]] = ["A", "B", "C"] generate_all_permutations(sequence_2)
-1
TheAlgorithms/Python
4,278
fix(mypy): Fix annotations for 13 cipher algorithms
Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
dhruvmanila
"2021-03-20T09:09:15Z"
"2021-03-22T06:59:51Z"
99a42f2b5821356718fb7d011ac711a6b4a63a83
14bcb580d55ee90614ad258ea31ef8fe4e4b5c40
fix(mypy): Fix annotations for 13 cipher algorithms. Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
from typing import Callable def bisection(function: Callable[[float], float], a: float, b: float) -> float: """ finds where function becomes 0 in [a,b] using bolzano >>> bisection(lambda x: x ** 3 - 1, -5, 5) 1.0000000149011612 >>> bisection(lambda x: x ** 3 - 1, 2, 1000) Traceback (most recent call last): ... ValueError: could not find root in given interval. >>> bisection(lambda x: x ** 2 - 4 * x + 3, 0, 2) 1.0 >>> bisection(lambda x: x ** 2 - 4 * x + 3, 2, 4) 3.0 >>> bisection(lambda x: x ** 2 - 4 * x + 3, 4, 1000) Traceback (most recent call last): ... ValueError: could not find root in given interval. """ start: float = a end: float = b if function(a) == 0: # one of the a or b is a root for the function return a elif function(b) == 0: return b elif ( function(a) * function(b) > 0 ): # if none of these are root and they are both positive or negative, # then this algorithm can't find the root raise ValueError("could not find root in given interval.") else: mid: float = start + (end - start) / 2.0 while abs(start - mid) > 10 ** -7: # until precisely equals to 10^-7 if function(mid) == 0: return mid elif function(mid) * function(start) < 0: end = mid else: start = mid mid = start + (end - start) / 2.0 return mid def f(x: float) -> float: return x ** 3 - 2 * x - 5 if __name__ == "__main__": print(bisection(f, 1, 1000)) import doctest doctest.testmod()
from typing import Callable def bisection(function: Callable[[float], float], a: float, b: float) -> float: """ finds where function becomes 0 in [a,b] using bolzano >>> bisection(lambda x: x ** 3 - 1, -5, 5) 1.0000000149011612 >>> bisection(lambda x: x ** 3 - 1, 2, 1000) Traceback (most recent call last): ... ValueError: could not find root in given interval. >>> bisection(lambda x: x ** 2 - 4 * x + 3, 0, 2) 1.0 >>> bisection(lambda x: x ** 2 - 4 * x + 3, 2, 4) 3.0 >>> bisection(lambda x: x ** 2 - 4 * x + 3, 4, 1000) Traceback (most recent call last): ... ValueError: could not find root in given interval. """ start: float = a end: float = b if function(a) == 0: # one of the a or b is a root for the function return a elif function(b) == 0: return b elif ( function(a) * function(b) > 0 ): # if none of these are root and they are both positive or negative, # then this algorithm can't find the root raise ValueError("could not find root in given interval.") else: mid: float = start + (end - start) / 2.0 while abs(start - mid) > 10 ** -7: # until precisely equals to 10^-7 if function(mid) == 0: return mid elif function(mid) * function(start) < 0: end = mid else: start = mid mid = start + (end - start) / 2.0 return mid def f(x: float) -> float: return x ** 3 - 2 * x - 5 if __name__ == "__main__": print(bisection(f, 1, 1000)) import doctest doctest.testmod()
-1
TheAlgorithms/Python
4,278
fix(mypy): Fix annotations for 13 cipher algorithms
Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
dhruvmanila
"2021-03-20T09:09:15Z"
"2021-03-22T06:59:51Z"
99a42f2b5821356718fb7d011ac711a6b4a63a83
14bcb580d55ee90614ad258ea31ef8fe4e4b5c40
fix(mypy): Fix annotations for 13 cipher algorithms. Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
""" Counting Sundays Problem 19 You are given the following information, but you may prefer to do some research for yourself. 1 Jan 1900 was a Monday. Thirty days has September, April, June and November. All the rest have thirty-one, Saving February alone, Which has twenty-eight, rain or shine. And on leap years, twenty-nine. A leap year occurs on any year evenly divisible by 4, but not on a century unless it is divisible by 400. How many Sundays fell on the first of the month during the twentieth century (1 Jan 1901 to 31 Dec 2000)? """ def solution(): """Returns the number of mondays that fall on the first of the month during the twentieth century (1 Jan 1901 to 31 Dec 2000)? >>> solution() 171 """ days_per_month = [31, 28, 31, 30, 31, 30, 31, 31, 30, 31, 30, 31] day = 6 month = 1 year = 1901 sundays = 0 while year < 2001: day += 7 if (year % 4 == 0 and not year % 100 == 0) or (year % 400 == 0): if day > days_per_month[month - 1] and month != 2: month += 1 day = day - days_per_month[month - 2] elif day > 29 and month == 2: month += 1 day = day - 29 else: if day > days_per_month[month - 1]: month += 1 day = day - days_per_month[month - 2] if month > 12: year += 1 month = 1 if year < 2001 and day == 1: sundays += 1 return sundays if __name__ == "__main__": print(solution())
""" Counting Sundays Problem 19 You are given the following information, but you may prefer to do some research for yourself. 1 Jan 1900 was a Monday. Thirty days has September, April, June and November. All the rest have thirty-one, Saving February alone, Which has twenty-eight, rain or shine. And on leap years, twenty-nine. A leap year occurs on any year evenly divisible by 4, but not on a century unless it is divisible by 400. How many Sundays fell on the first of the month during the twentieth century (1 Jan 1901 to 31 Dec 2000)? """ def solution(): """Returns the number of mondays that fall on the first of the month during the twentieth century (1 Jan 1901 to 31 Dec 2000)? >>> solution() 171 """ days_per_month = [31, 28, 31, 30, 31, 30, 31, 31, 30, 31, 30, 31] day = 6 month = 1 year = 1901 sundays = 0 while year < 2001: day += 7 if (year % 4 == 0 and not year % 100 == 0) or (year % 400 == 0): if day > days_per_month[month - 1] and month != 2: month += 1 day = day - days_per_month[month - 2] elif day > 29 and month == 2: month += 1 day = day - 29 else: if day > days_per_month[month - 1]: month += 1 day = day - days_per_month[month - 2] if month > 12: year += 1 month = 1 if year < 2001 and day == 1: sundays += 1 return sundays if __name__ == "__main__": print(solution())
-1
TheAlgorithms/Python
4,278
fix(mypy): Fix annotations for 13 cipher algorithms
Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
dhruvmanila
"2021-03-20T09:09:15Z"
"2021-03-22T06:59:51Z"
99a42f2b5821356718fb7d011ac711a6b4a63a83
14bcb580d55ee90614ad258ea31ef8fe4e4b5c40
fix(mypy): Fix annotations for 13 cipher algorithms. Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
""" This is to show simple COVID19 info fetching from worldometers site using lxml * The main motivation to use lxml in place of bs4 is that it is faster and therefore more convenient to use in Python web projects (e.g. Django or Flask-based) """ from collections import namedtuple import requests from lxml import html # type: ignore covid_data = namedtuple("covid_data", "cases deaths recovered") def covid_stats(url: str = "https://www.worldometers.info/coronavirus/") -> covid_data: xpath_str = '//div[@class = "maincounter-number"]/span/text()' return covid_data(*html.fromstring(requests.get(url).content).xpath(xpath_str)) fmt = """Total COVID-19 cases in the world: {} Total deaths due to COVID-19 in the world: {} Total COVID-19 patients recovered in the world: {}""" print(fmt.format(*covid_stats()))
""" This is to show simple COVID19 info fetching from worldometers site using lxml * The main motivation to use lxml in place of bs4 is that it is faster and therefore more convenient to use in Python web projects (e.g. Django or Flask-based) """ from collections import namedtuple import requests from lxml import html # type: ignore covid_data = namedtuple("covid_data", "cases deaths recovered") def covid_stats(url: str = "https://www.worldometers.info/coronavirus/") -> covid_data: xpath_str = '//div[@class = "maincounter-number"]/span/text()' return covid_data(*html.fromstring(requests.get(url).content).xpath(xpath_str)) fmt = """Total COVID-19 cases in the world: {} Total deaths due to COVID-19 in the world: {} Total COVID-19 patients recovered in the world: {}""" print(fmt.format(*covid_stats()))
-1
TheAlgorithms/Python
4,278
fix(mypy): Fix annotations for 13 cipher algorithms
Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
dhruvmanila
"2021-03-20T09:09:15Z"
"2021-03-22T06:59:51Z"
99a42f2b5821356718fb7d011ac711a6b4a63a83
14bcb580d55ee90614ad258ea31ef8fe4e4b5c40
fix(mypy): Fix annotations for 13 cipher algorithms. Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
""" The nested brackets problem is a problem that determines if a sequence of brackets are properly nested. A sequence of brackets s is considered properly nested if any of the following conditions are true: - s is empty - s has the form (U) or [U] or {U} where U is a properly nested string - s has the form VW where V and W are properly nested strings For example, the string "()()[()]" is properly nested but "[(()]" is not. The function called is_balanced takes as input a string S which is a sequence of brackets and returns true if S is nested and false otherwise. """ def is_balanced(S): stack = [] open_brackets = set({"(", "[", "{"}) closed_brackets = set({")", "]", "}"}) open_to_closed = dict({"{": "}", "[": "]", "(": ")"}) for i in range(len(S)): if S[i] in open_brackets: stack.append(S[i]) elif S[i] in closed_brackets: if len(stack) == 0 or ( len(stack) > 0 and open_to_closed[stack.pop()] != S[i] ): return False return len(stack) == 0 def main(): s = input("Enter sequence of brackets: ") if is_balanced(s): print(s, "is balanced") else: print(s, "is not balanced") if __name__ == "__main__": main()
""" The nested brackets problem is a problem that determines if a sequence of brackets are properly nested. A sequence of brackets s is considered properly nested if any of the following conditions are true: - s is empty - s has the form (U) or [U] or {U} where U is a properly nested string - s has the form VW where V and W are properly nested strings For example, the string "()()[()]" is properly nested but "[(()]" is not. The function called is_balanced takes as input a string S which is a sequence of brackets and returns true if S is nested and false otherwise. """ def is_balanced(S): stack = [] open_brackets = set({"(", "[", "{"}) closed_brackets = set({")", "]", "}"}) open_to_closed = dict({"{": "}", "[": "]", "(": ")"}) for i in range(len(S)): if S[i] in open_brackets: stack.append(S[i]) elif S[i] in closed_brackets: if len(stack) == 0 or ( len(stack) > 0 and open_to_closed[stack.pop()] != S[i] ): return False return len(stack) == 0 def main(): s = input("Enter sequence of brackets: ") if is_balanced(s): print(s, "is balanced") else: print(s, "is not balanced") if __name__ == "__main__": main()
-1
TheAlgorithms/Python
4,278
fix(mypy): Fix annotations for 13 cipher algorithms
Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
dhruvmanila
"2021-03-20T09:09:15Z"
"2021-03-22T06:59:51Z"
99a42f2b5821356718fb7d011ac711a6b4a63a83
14bcb580d55ee90614ad258ea31ef8fe4e4b5c40
fix(mypy): Fix annotations for 13 cipher algorithms. Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
""" https://en.wikipedia.org/wiki/String-searching_algorithm#Na%C3%AFve_string_search this algorithm tries to find the pattern from every position of the mainString if pattern is found from position i it add it to the answer and does the same for position i+1 Complexity : O(n*m) n=length of main string m=length of pattern string """ def naive_pattern_search(s: str, pattern: str) -> list: """ >>> naive_pattern_search("ABAAABCDBBABCDDEBCABC", "ABC") [4, 10, 18] >>> naive_pattern_search("ABC", "ABAAABCDBBABCDDEBCABC") [] >>> naive_pattern_search("", "ABC") [] >>> naive_pattern_search("TEST", "TEST") [0] >>> naive_pattern_search("ABCDEGFTEST", "TEST") [7] """ pat_len = len(pattern) position = [] for i in range(len(s) - pat_len + 1): match_found = True for j in range(pat_len): if s[i + j] != pattern[j]: match_found = False break if match_found: position.append(i) return position if __name__ == "__main__": assert naive_pattern_search("ABCDEFG", "DE") == [3] print(f"{naive_pattern_search('ABAAABCDBBABCDDEBCABC', 'ABC') = }")
""" https://en.wikipedia.org/wiki/String-searching_algorithm#Na%C3%AFve_string_search this algorithm tries to find the pattern from every position of the mainString if pattern is found from position i it add it to the answer and does the same for position i+1 Complexity : O(n*m) n=length of main string m=length of pattern string """ def naive_pattern_search(s: str, pattern: str) -> list: """ >>> naive_pattern_search("ABAAABCDBBABCDDEBCABC", "ABC") [4, 10, 18] >>> naive_pattern_search("ABC", "ABAAABCDBBABCDDEBCABC") [] >>> naive_pattern_search("", "ABC") [] >>> naive_pattern_search("TEST", "TEST") [0] >>> naive_pattern_search("ABCDEGFTEST", "TEST") [7] """ pat_len = len(pattern) position = [] for i in range(len(s) - pat_len + 1): match_found = True for j in range(pat_len): if s[i + j] != pattern[j]: match_found = False break if match_found: position.append(i) return position if __name__ == "__main__": assert naive_pattern_search("ABCDEFG", "DE") == [3] print(f"{naive_pattern_search('ABAAABCDBBABCDDEBCABC', 'ABC') = }")
-1
TheAlgorithms/Python
4,278
fix(mypy): Fix annotations for 13 cipher algorithms
Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
dhruvmanila
"2021-03-20T09:09:15Z"
"2021-03-22T06:59:51Z"
99a42f2b5821356718fb7d011ac711a6b4a63a83
14bcb580d55ee90614ad258ea31ef8fe4e4b5c40
fix(mypy): Fix annotations for 13 cipher algorithms. Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
import sys import webbrowser import requests from bs4 import BeautifulSoup from fake_useragent import UserAgent if __name__ == "__main__": print("Googling.....") url = "https://www.google.com/search?q=" + " ".join(sys.argv[1:]) res = requests.get(url, headers={"UserAgent": UserAgent().random}) # res.raise_for_status() with open("project1a.html", "wb") as out_file: # only for knowing the class for data in res.iter_content(10000): out_file.write(data) soup = BeautifulSoup(res.text, "html.parser") links = list(soup.select(".eZt8xd"))[:5] print(len(links)) for link in links: if link.text == "Maps": webbrowser.open(link.get("href")) else: webbrowser.open(f"http://google.com{link.get('href')}")
import sys import webbrowser import requests from bs4 import BeautifulSoup from fake_useragent import UserAgent if __name__ == "__main__": print("Googling.....") url = "https://www.google.com/search?q=" + " ".join(sys.argv[1:]) res = requests.get(url, headers={"UserAgent": UserAgent().random}) # res.raise_for_status() with open("project1a.html", "wb") as out_file: # only for knowing the class for data in res.iter_content(10000): out_file.write(data) soup = BeautifulSoup(res.text, "html.parser") links = list(soup.select(".eZt8xd"))[:5] print(len(links)) for link in links: if link.text == "Maps": webbrowser.open(link.get("href")) else: webbrowser.open(f"http://google.com{link.get('href')}")
-1
TheAlgorithms/Python
4,278
fix(mypy): Fix annotations for 13 cipher algorithms
Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
dhruvmanila
"2021-03-20T09:09:15Z"
"2021-03-22T06:59:51Z"
99a42f2b5821356718fb7d011ac711a6b4a63a83
14bcb580d55ee90614ad258ea31ef8fe4e4b5c40
fix(mypy): Fix annotations for 13 cipher algorithms. Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
""" Checks if a system of forces is in static equilibrium. """ from typing import List from numpy import array, cos, cross, radians, sin def polar_force( magnitude: float, angle: float, radian_mode: bool = False ) -> List[float]: """ Resolves force along rectangular components. (force, angle) => (force_x, force_y) >>> polar_force(10, 45) [7.0710678118654755, 7.071067811865475] >>> polar_force(10, 3.14, radian_mode=True) [-9.999987317275394, 0.01592652916486828] """ if radian_mode: return [magnitude * cos(angle), magnitude * sin(angle)] return [magnitude * cos(radians(angle)), magnitude * sin(radians(angle))] def in_static_equilibrium( forces: array, location: array, eps: float = 10 ** -1 ) -> bool: """ Check if a system is in equilibrium. It takes two numpy.array objects. forces ==> [ [force1_x, force1_y], [force2_x, force2_y], ....] location ==> [ [x1, y1], [x2, y2], ....] >>> force = array([[1, 1], [-1, 2]]) >>> location = array([[1, 0], [10, 0]]) >>> in_static_equilibrium(force, location) False """ # summation of moments is zero moments: array = cross(location, forces) sum_moments: float = sum(moments) return abs(sum_moments) < eps if __name__ == "__main__": # Test to check if it works forces = array( [polar_force(718.4, 180 - 30), polar_force(879.54, 45), polar_force(100, -90)] ) location = array([[0, 0], [0, 0], [0, 0]]) assert in_static_equilibrium(forces, location) # Problem 1 in image_data/2D_problems.jpg forces = array( [ polar_force(30 * 9.81, 15), polar_force(215, 180 - 45), polar_force(264, 90 - 30), ] ) location = array([[0, 0], [0, 0], [0, 0]]) assert in_static_equilibrium(forces, location) # Problem in image_data/2D_problems_1.jpg forces = array([[0, -2000], [0, -1200], [0, 15600], [0, -12400]]) location = array([[0, 0], [6, 0], [10, 0], [12, 0]]) assert in_static_equilibrium(forces, location) import doctest doctest.testmod()
""" Checks if a system of forces is in static equilibrium. """ from typing import List from numpy import array, cos, cross, radians, sin def polar_force( magnitude: float, angle: float, radian_mode: bool = False ) -> List[float]: """ Resolves force along rectangular components. (force, angle) => (force_x, force_y) >>> polar_force(10, 45) [7.0710678118654755, 7.071067811865475] >>> polar_force(10, 3.14, radian_mode=True) [-9.999987317275394, 0.01592652916486828] """ if radian_mode: return [magnitude * cos(angle), magnitude * sin(angle)] return [magnitude * cos(radians(angle)), magnitude * sin(radians(angle))] def in_static_equilibrium( forces: array, location: array, eps: float = 10 ** -1 ) -> bool: """ Check if a system is in equilibrium. It takes two numpy.array objects. forces ==> [ [force1_x, force1_y], [force2_x, force2_y], ....] location ==> [ [x1, y1], [x2, y2], ....] >>> force = array([[1, 1], [-1, 2]]) >>> location = array([[1, 0], [10, 0]]) >>> in_static_equilibrium(force, location) False """ # summation of moments is zero moments: array = cross(location, forces) sum_moments: float = sum(moments) return abs(sum_moments) < eps if __name__ == "__main__": # Test to check if it works forces = array( [polar_force(718.4, 180 - 30), polar_force(879.54, 45), polar_force(100, -90)] ) location = array([[0, 0], [0, 0], [0, 0]]) assert in_static_equilibrium(forces, location) # Problem 1 in image_data/2D_problems.jpg forces = array( [ polar_force(30 * 9.81, 15), polar_force(215, 180 - 45), polar_force(264, 90 - 30), ] ) location = array([[0, 0], [0, 0], [0, 0]]) assert in_static_equilibrium(forces, location) # Problem in image_data/2D_problems_1.jpg forces = array([[0, -2000], [0, -1200], [0, 15600], [0, -12400]]) location = array([[0, 0], [6, 0], [10, 0], [12, 0]]) assert in_static_equilibrium(forces, location) import doctest doctest.testmod()
-1
TheAlgorithms/Python
4,278
fix(mypy): Fix annotations for 13 cipher algorithms
Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
dhruvmanila
"2021-03-20T09:09:15Z"
"2021-03-22T06:59:51Z"
99a42f2b5821356718fb7d011ac711a6b4a63a83
14bcb580d55ee90614ad258ea31ef8fe4e4b5c40
fix(mypy): Fix annotations for 13 cipher algorithms. Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
def binomial_coefficient(n, r): """ Find binomial coefficient using pascals triangle. >>> binomial_coefficient(10, 5) 252 """ C = [0 for i in range(r + 1)] # nc0 = 1 C[0] = 1 for i in range(1, n + 1): # to compute current row from previous row. j = min(i, r) while j > 0: C[j] += C[j - 1] j -= 1 return C[r] print(binomial_coefficient(n=10, r=5))
def binomial_coefficient(n, r): """ Find binomial coefficient using pascals triangle. >>> binomial_coefficient(10, 5) 252 """ C = [0 for i in range(r + 1)] # nc0 = 1 C[0] = 1 for i in range(1, n + 1): # to compute current row from previous row. j = min(i, r) while j > 0: C[j] += C[j - 1] j -= 1 return C[r] print(binomial_coefficient(n=10, r=5))
-1
TheAlgorithms/Python
4,278
fix(mypy): Fix annotations for 13 cipher algorithms
Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
dhruvmanila
"2021-03-20T09:09:15Z"
"2021-03-22T06:59:51Z"
99a42f2b5821356718fb7d011ac711a6b4a63a83
14bcb580d55ee90614ad258ea31ef8fe4e4b5c40
fix(mypy): Fix annotations for 13 cipher algorithms. Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
""" Problem 45: https://projecteuler.net/problem=45 Triangle, pentagonal, and hexagonal numbers are generated by the following formulae: Triangle T(n) = (n * (n + 1)) / 2 1, 3, 6, 10, 15, ... Pentagonal P(n) = (n * (3 * n − 1)) / 2 1, 5, 12, 22, 35, ... Hexagonal H(n) = n * (2 * n − 1) 1, 6, 15, 28, 45, ... It can be verified that T(285) = P(165) = H(143) = 40755. Find the next triangle number that is also pentagonal and hexagonal. All trinagle numbers are hexagonal numbers. T(2n-1) = n * (2 * n - 1) = H(n) So we shall check only for hexagonal numbers which are also pentagonal. """ def hexagonal_num(n: int) -> int: """ Returns nth hexagonal number >>> hexagonal_num(143) 40755 >>> hexagonal_num(21) 861 >>> hexagonal_num(10) 190 """ return n * (2 * n - 1) def is_pentagonal(n: int) -> bool: """ Returns True if n is pentagonal, False otherwise. >>> is_pentagonal(330) True >>> is_pentagonal(7683) False >>> is_pentagonal(2380) True """ root = (1 + 24 * n) ** 0.5 return ((1 + root) / 6) % 1 == 0 def solution(start: int = 144) -> int: """ Returns the next number which is traingular, pentagonal and hexagonal. >>> solution(144) 1533776805 """ n = start num = hexagonal_num(n) while not is_pentagonal(num): n += 1 num = hexagonal_num(n) return num if __name__ == "__main__": print(f"{solution()} = ")
""" Problem 45: https://projecteuler.net/problem=45 Triangle, pentagonal, and hexagonal numbers are generated by the following formulae: Triangle T(n) = (n * (n + 1)) / 2 1, 3, 6, 10, 15, ... Pentagonal P(n) = (n * (3 * n − 1)) / 2 1, 5, 12, 22, 35, ... Hexagonal H(n) = n * (2 * n − 1) 1, 6, 15, 28, 45, ... It can be verified that T(285) = P(165) = H(143) = 40755. Find the next triangle number that is also pentagonal and hexagonal. All trinagle numbers are hexagonal numbers. T(2n-1) = n * (2 * n - 1) = H(n) So we shall check only for hexagonal numbers which are also pentagonal. """ def hexagonal_num(n: int) -> int: """ Returns nth hexagonal number >>> hexagonal_num(143) 40755 >>> hexagonal_num(21) 861 >>> hexagonal_num(10) 190 """ return n * (2 * n - 1) def is_pentagonal(n: int) -> bool: """ Returns True if n is pentagonal, False otherwise. >>> is_pentagonal(330) True >>> is_pentagonal(7683) False >>> is_pentagonal(2380) True """ root = (1 + 24 * n) ** 0.5 return ((1 + root) / 6) % 1 == 0 def solution(start: int = 144) -> int: """ Returns the next number which is traingular, pentagonal and hexagonal. >>> solution(144) 1533776805 """ n = start num = hexagonal_num(n) while not is_pentagonal(num): n += 1 num = hexagonal_num(n) return num if __name__ == "__main__": print(f"{solution()} = ")
-1
TheAlgorithms/Python
4,278
fix(mypy): Fix annotations for 13 cipher algorithms
Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
dhruvmanila
"2021-03-20T09:09:15Z"
"2021-03-22T06:59:51Z"
99a42f2b5821356718fb7d011ac711a6b4a63a83
14bcb580d55ee90614ad258ea31ef8fe4e4b5c40
fix(mypy): Fix annotations for 13 cipher algorithms. Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
-1
TheAlgorithms/Python
4,278
fix(mypy): Fix annotations for 13 cipher algorithms
Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
dhruvmanila
"2021-03-20T09:09:15Z"
"2021-03-22T06:59:51Z"
99a42f2b5821356718fb7d011ac711a6b4a63a83
14bcb580d55ee90614ad258ea31ef8fe4e4b5c40
fix(mypy): Fix annotations for 13 cipher algorithms. Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
""" A permutation is an ordered arrangement of objects. For example, 3124 is one possible permutation of the digits 1, 2, 3 and 4. If all of the permutations are listed numerically or alphabetically, we call it lexicographic order. The lexicographic permutations of 0, 1 and 2 are: 012 021 102 120 201 210 What is the millionth lexicographic permutation of the digits 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9? """ from itertools import permutations def solution(): """Returns the millionth lexicographic permutation of the digits 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9. >>> solution() '2783915460' """ result = list(map("".join, permutations("0123456789"))) return result[999999] if __name__ == "__main__": print(solution())
""" A permutation is an ordered arrangement of objects. For example, 3124 is one possible permutation of the digits 1, 2, 3 and 4. If all of the permutations are listed numerically or alphabetically, we call it lexicographic order. The lexicographic permutations of 0, 1 and 2 are: 012 021 102 120 201 210 What is the millionth lexicographic permutation of the digits 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9? """ from itertools import permutations def solution(): """Returns the millionth lexicographic permutation of the digits 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9. >>> solution() '2783915460' """ result = list(map("".join, permutations("0123456789"))) return result[999999] if __name__ == "__main__": print(solution())
-1
TheAlgorithms/Python
4,278
fix(mypy): Fix annotations for 13 cipher algorithms
Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
dhruvmanila
"2021-03-20T09:09:15Z"
"2021-03-22T06:59:51Z"
99a42f2b5821356718fb7d011ac711a6b4a63a83
14bcb580d55ee90614ad258ea31ef8fe4e4b5c40
fix(mypy): Fix annotations for 13 cipher algorithms. Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
#!/bin/sh # # Copyright (c) 2006, 2008 Junio C Hamano # # The "pre-rebase" hook is run just before "git rebase" starts doing # its job, and can prevent the command from running by exiting with # non-zero status. # # The hook is called with the following parameters: # # $1 -- the upstream the series was forked from. # $2 -- the branch being rebased (or empty when rebasing the current branch). # # This sample shows how to prevent topic branches that are already # merged to 'next' branch from getting rebased, because allowing it # would result in rebasing already published history. publish=next basebranch="$1" if test "$#" = 2 then topic="refs/heads/$2" else topic=`git symbolic-ref HEAD` || exit 0 ;# we do not interrupt rebasing detached HEAD fi case "$topic" in refs/heads/??/*) ;; *) exit 0 ;# we do not interrupt others. ;; esac # Now we are dealing with a topic branch being rebased # on top of master. Is it OK to rebase it? # Does the topic really exist? git show-ref -q "$topic" || { echo >&2 "No such branch $topic" exit 1 } # Is topic fully merged to master? not_in_master=`git rev-list --pretty=oneline ^master "$topic"` if test -z "$not_in_master" then echo >&2 "$topic is fully merged to master; better remove it." exit 1 ;# we could allow it, but there is no point. fi # Is topic ever merged to next? If so you should not be rebasing it. only_next_1=`git rev-list ^master "^$topic" ${publish} | sort` only_next_2=`git rev-list ^master ${publish} | sort` if test "$only_next_1" = "$only_next_2" then not_in_topic=`git rev-list "^$topic" master` if test -z "$not_in_topic" then echo >&2 "$topic is already up to date with master" exit 1 ;# we could allow it, but there is no point. else exit 0 fi else not_in_next=`git rev-list --pretty=oneline ^${publish} "$topic"` /usr/bin/perl -e ' my $topic = $ARGV[0]; my $msg = "* $topic has commits already merged to public branch:\n"; my (%not_in_next) = map { /^([0-9a-f]+) /; ($1 => 1); } split(/\n/, $ARGV[1]); for my $elem (map { /^([0-9a-f]+) (.*)$/; [$1 => $2]; } split(/\n/, $ARGV[2])) { if (!exists $not_in_next{$elem->[0]}) { if ($msg) { print STDERR $msg; undef $msg; } print STDERR " $elem->[1]\n"; } } ' "$topic" "$not_in_next" "$not_in_master" exit 1 fi <<\DOC_END This sample hook safeguards topic branches that have been published from being rewound. The workflow assumed here is: * Once a topic branch forks from "master", "master" is never merged into it again (either directly or indirectly). * Once a topic branch is fully cooked and merged into "master", it is deleted. If you need to build on top of it to correct earlier mistakes, a new topic branch is created by forking at the tip of the "master". This is not strictly necessary, but it makes it easier to keep your history simple. * Whenever you need to test or publish your changes to topic branches, merge them into "next" branch. The script, being an example, hardcodes the publish branch name to be "next", but it is trivial to make it configurable via $GIT_DIR/config mechanism. With this workflow, you would want to know: (1) ... if a topic branch has ever been merged to "next". Young topic branches can have stupid mistakes you would rather clean up before publishing, and things that have not been merged into other branches can be easily rebased without affecting other people. But once it is published, you would not want to rewind it. (2) ... if a topic branch has been fully merged to "master". Then you can delete it. More importantly, you should not build on top of it -- other people may already want to change things related to the topic as patches against your "master", so if you need further changes, it is better to fork the topic (perhaps with the same name) afresh from the tip of "master". Let's look at this example: o---o---o---o---o---o---o---o---o---o "next" / / / / / a---a---b A / / / / / / / / c---c---c---c B / / / / \ / / / / b---b C \ / / / / / \ / ---o---o---o---o---o---o---o---o---o---o---o "master" A, B and C are topic branches. * A has one fix since it was merged up to "next". * B has finished. It has been fully merged up to "master" and "next", and is ready to be deleted. * C has not merged to "next" at all. We would want to allow C to be rebased, refuse A, and encourage B to be deleted. To compute (1): git rev-list ^master ^topic next git rev-list ^master next if these match, topic has not merged in next at all. To compute (2): git rev-list master..topic if this is empty, it is fully merged to "master". DOC_END
#!/bin/sh # # Copyright (c) 2006, 2008 Junio C Hamano # # The "pre-rebase" hook is run just before "git rebase" starts doing # its job, and can prevent the command from running by exiting with # non-zero status. # # The hook is called with the following parameters: # # $1 -- the upstream the series was forked from. # $2 -- the branch being rebased (or empty when rebasing the current branch). # # This sample shows how to prevent topic branches that are already # merged to 'next' branch from getting rebased, because allowing it # would result in rebasing already published history. publish=next basebranch="$1" if test "$#" = 2 then topic="refs/heads/$2" else topic=`git symbolic-ref HEAD` || exit 0 ;# we do not interrupt rebasing detached HEAD fi case "$topic" in refs/heads/??/*) ;; *) exit 0 ;# we do not interrupt others. ;; esac # Now we are dealing with a topic branch being rebased # on top of master. Is it OK to rebase it? # Does the topic really exist? git show-ref -q "$topic" || { echo >&2 "No such branch $topic" exit 1 } # Is topic fully merged to master? not_in_master=`git rev-list --pretty=oneline ^master "$topic"` if test -z "$not_in_master" then echo >&2 "$topic is fully merged to master; better remove it." exit 1 ;# we could allow it, but there is no point. fi # Is topic ever merged to next? If so you should not be rebasing it. only_next_1=`git rev-list ^master "^$topic" ${publish} | sort` only_next_2=`git rev-list ^master ${publish} | sort` if test "$only_next_1" = "$only_next_2" then not_in_topic=`git rev-list "^$topic" master` if test -z "$not_in_topic" then echo >&2 "$topic is already up to date with master" exit 1 ;# we could allow it, but there is no point. else exit 0 fi else not_in_next=`git rev-list --pretty=oneline ^${publish} "$topic"` /usr/bin/perl -e ' my $topic = $ARGV[0]; my $msg = "* $topic has commits already merged to public branch:\n"; my (%not_in_next) = map { /^([0-9a-f]+) /; ($1 => 1); } split(/\n/, $ARGV[1]); for my $elem (map { /^([0-9a-f]+) (.*)$/; [$1 => $2]; } split(/\n/, $ARGV[2])) { if (!exists $not_in_next{$elem->[0]}) { if ($msg) { print STDERR $msg; undef $msg; } print STDERR " $elem->[1]\n"; } } ' "$topic" "$not_in_next" "$not_in_master" exit 1 fi <<\DOC_END This sample hook safeguards topic branches that have been published from being rewound. The workflow assumed here is: * Once a topic branch forks from "master", "master" is never merged into it again (either directly or indirectly). * Once a topic branch is fully cooked and merged into "master", it is deleted. If you need to build on top of it to correct earlier mistakes, a new topic branch is created by forking at the tip of the "master". This is not strictly necessary, but it makes it easier to keep your history simple. * Whenever you need to test or publish your changes to topic branches, merge them into "next" branch. The script, being an example, hardcodes the publish branch name to be "next", but it is trivial to make it configurable via $GIT_DIR/config mechanism. With this workflow, you would want to know: (1) ... if a topic branch has ever been merged to "next". Young topic branches can have stupid mistakes you would rather clean up before publishing, and things that have not been merged into other branches can be easily rebased without affecting other people. But once it is published, you would not want to rewind it. (2) ... if a topic branch has been fully merged to "master". Then you can delete it. More importantly, you should not build on top of it -- other people may already want to change things related to the topic as patches against your "master", so if you need further changes, it is better to fork the topic (perhaps with the same name) afresh from the tip of "master". Let's look at this example: o---o---o---o---o---o---o---o---o---o "next" / / / / / a---a---b A / / / / / / / / c---c---c---c B / / / / \ / / / / b---b C \ / / / / / \ / ---o---o---o---o---o---o---o---o---o---o---o "master" A, B and C are topic branches. * A has one fix since it was merged up to "next". * B has finished. It has been fully merged up to "master" and "next", and is ready to be deleted. * C has not merged to "next" at all. We would want to allow C to be rebased, refuse A, and encourage B to be deleted. To compute (1): git rev-list ^master ^topic next git rev-list ^master next if these match, topic has not merged in next at all. To compute (2): git rev-list master..topic if this is empty, it is fully merged to "master". DOC_END
-1
TheAlgorithms/Python
4,278
fix(mypy): Fix annotations for 13 cipher algorithms
Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
dhruvmanila
"2021-03-20T09:09:15Z"
"2021-03-22T06:59:51Z"
99a42f2b5821356718fb7d011ac711a6b4a63a83
14bcb580d55ee90614ad258ea31ef8fe4e4b5c40
fix(mypy): Fix annotations for 13 cipher algorithms. Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
""" Wiggle Sort. Given an unsorted array nums, reorder it such that nums[0] < nums[1] > nums[2] < nums[3].... For example: if input numbers = [3, 5, 2, 1, 6, 4] one possible Wiggle Sorted answer is [3, 5, 1, 6, 2, 4]. """ def wiggle_sort(nums: list) -> list: """ Python implementation of wiggle. Example: >>> wiggle_sort([0, 5, 3, 2, 2]) [0, 5, 2, 3, 2] >>> wiggle_sort([]) [] >>> wiggle_sort([-2, -5, -45]) [-45, -2, -5] >>> wiggle_sort([-2.1, -5.68, -45.11]) [-45.11, -2.1, -5.68] """ for i, _ in enumerate(nums): if (i % 2 == 1) == (nums[i - 1] > nums[i]): nums[i - 1], nums[i] = nums[i], nums[i - 1] return nums if __name__ == "__main__": print("Enter the array elements:") array = list(map(int, input().split())) print("The unsorted array is:") print(array) print("Array after Wiggle sort:") print(wiggle_sort(array))
""" Wiggle Sort. Given an unsorted array nums, reorder it such that nums[0] < nums[1] > nums[2] < nums[3].... For example: if input numbers = [3, 5, 2, 1, 6, 4] one possible Wiggle Sorted answer is [3, 5, 1, 6, 2, 4]. """ def wiggle_sort(nums: list) -> list: """ Python implementation of wiggle. Example: >>> wiggle_sort([0, 5, 3, 2, 2]) [0, 5, 2, 3, 2] >>> wiggle_sort([]) [] >>> wiggle_sort([-2, -5, -45]) [-45, -2, -5] >>> wiggle_sort([-2.1, -5.68, -45.11]) [-45.11, -2.1, -5.68] """ for i, _ in enumerate(nums): if (i % 2 == 1) == (nums[i - 1] > nums[i]): nums[i - 1], nums[i] = nums[i], nums[i - 1] return nums if __name__ == "__main__": print("Enter the array elements:") array = list(map(int, input().split())) print("The unsorted array is:") print(array) print("Array after Wiggle sort:") print(wiggle_sort(array))
-1
TheAlgorithms/Python
4,278
fix(mypy): Fix annotations for 13 cipher algorithms
Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
dhruvmanila
"2021-03-20T09:09:15Z"
"2021-03-22T06:59:51Z"
99a42f2b5821356718fb7d011ac711a6b4a63a83
14bcb580d55ee90614ad258ea31ef8fe4e4b5c40
fix(mypy): Fix annotations for 13 cipher algorithms. Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
""" Algorithm that merges two sorted linked lists into one sorted linked list. """ from __future__ import annotations from collections.abc import Iterable, Iterator from dataclasses import dataclass from typing import Optional test_data_odd = (3, 9, -11, 0, 7, 5, 1, -1) test_data_even = (4, 6, 2, 0, 8, 10, 3, -2) @dataclass class Node: data: int next: Optional[Node] class SortedLinkedList: def __init__(self, ints: Iterable[int]) -> None: self.head: Optional[Node] = None for i in reversed(sorted(ints)): self.head = Node(i, self.head) def __iter__(self) -> Iterator[int]: """ >>> tuple(SortedLinkedList(test_data_odd)) == tuple(sorted(test_data_odd)) True >>> tuple(SortedLinkedList(test_data_even)) == tuple(sorted(test_data_even)) True """ node = self.head while node: yield node.data node = node.next def __len__(self) -> int: """ >>> for i in range(3): ... len(SortedLinkedList(range(i))) == i True True True >>> len(SortedLinkedList(test_data_odd)) 8 """ return len(tuple(iter(self))) def __str__(self) -> str: """ >>> str(SortedLinkedList([])) '' >>> str(SortedLinkedList(test_data_odd)) '-11 -> -1 -> 0 -> 1 -> 3 -> 5 -> 7 -> 9' >>> str(SortedLinkedList(test_data_even)) '-2 -> 0 -> 2 -> 3 -> 4 -> 6 -> 8 -> 10' """ return " -> ".join([str(node) for node in self]) def merge_lists( sll_one: SortedLinkedList, sll_two: SortedLinkedList ) -> SortedLinkedList: """ >>> SSL = SortedLinkedList >>> merged = merge_lists(SSL(test_data_odd), SSL(test_data_even)) >>> len(merged) 16 >>> str(merged) '-11 -> -2 -> -1 -> 0 -> 0 -> 1 -> 2 -> 3 -> 3 -> 4 -> 5 -> 6 -> 7 -> 8 -> 9 -> 10' >>> list(merged) == list(sorted(test_data_odd + test_data_even)) True """ return SortedLinkedList(list(sll_one) + list(sll_two)) if __name__ == "__main__": import doctest doctest.testmod() SSL = SortedLinkedList print(merge_lists(SSL(test_data_odd), SSL(test_data_even)))
""" Algorithm that merges two sorted linked lists into one sorted linked list. """ from __future__ import annotations from collections.abc import Iterable, Iterator from dataclasses import dataclass from typing import Optional test_data_odd = (3, 9, -11, 0, 7, 5, 1, -1) test_data_even = (4, 6, 2, 0, 8, 10, 3, -2) @dataclass class Node: data: int next: Optional[Node] class SortedLinkedList: def __init__(self, ints: Iterable[int]) -> None: self.head: Optional[Node] = None for i in reversed(sorted(ints)): self.head = Node(i, self.head) def __iter__(self) -> Iterator[int]: """ >>> tuple(SortedLinkedList(test_data_odd)) == tuple(sorted(test_data_odd)) True >>> tuple(SortedLinkedList(test_data_even)) == tuple(sorted(test_data_even)) True """ node = self.head while node: yield node.data node = node.next def __len__(self) -> int: """ >>> for i in range(3): ... len(SortedLinkedList(range(i))) == i True True True >>> len(SortedLinkedList(test_data_odd)) 8 """ return len(tuple(iter(self))) def __str__(self) -> str: """ >>> str(SortedLinkedList([])) '' >>> str(SortedLinkedList(test_data_odd)) '-11 -> -1 -> 0 -> 1 -> 3 -> 5 -> 7 -> 9' >>> str(SortedLinkedList(test_data_even)) '-2 -> 0 -> 2 -> 3 -> 4 -> 6 -> 8 -> 10' """ return " -> ".join([str(node) for node in self]) def merge_lists( sll_one: SortedLinkedList, sll_two: SortedLinkedList ) -> SortedLinkedList: """ >>> SSL = SortedLinkedList >>> merged = merge_lists(SSL(test_data_odd), SSL(test_data_even)) >>> len(merged) 16 >>> str(merged) '-11 -> -2 -> -1 -> 0 -> 0 -> 1 -> 2 -> 3 -> 3 -> 4 -> 5 -> 6 -> 7 -> 8 -> 9 -> 10' >>> list(merged) == list(sorted(test_data_odd + test_data_even)) True """ return SortedLinkedList(list(sll_one) + list(sll_two)) if __name__ == "__main__": import doctest doctest.testmod() SSL = SortedLinkedList print(merge_lists(SSL(test_data_odd), SSL(test_data_even)))
-1
TheAlgorithms/Python
4,278
fix(mypy): Fix annotations for 13 cipher algorithms
Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
dhruvmanila
"2021-03-20T09:09:15Z"
"2021-03-22T06:59:51Z"
99a42f2b5821356718fb7d011ac711a6b4a63a83
14bcb580d55ee90614ad258ea31ef8fe4e4b5c40
fix(mypy): Fix annotations for 13 cipher algorithms. Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
-1
TheAlgorithms/Python
4,278
fix(mypy): Fix annotations for 13 cipher algorithms
Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
dhruvmanila
"2021-03-20T09:09:15Z"
"2021-03-22T06:59:51Z"
99a42f2b5821356718fb7d011ac711a6b4a63a83
14bcb580d55ee90614ad258ea31ef8fe4e4b5c40
fix(mypy): Fix annotations for 13 cipher algorithms. Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
-1
TheAlgorithms/Python
4,278
fix(mypy): Fix annotations for 13 cipher algorithms
Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
dhruvmanila
"2021-03-20T09:09:15Z"
"2021-03-22T06:59:51Z"
99a42f2b5821356718fb7d011ac711a6b4a63a83
14bcb580d55ee90614ad258ea31ef8fe4e4b5c40
fix(mypy): Fix annotations for 13 cipher algorithms. Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
""" Isolate the Decimal part of a Number https://stackoverflow.com/questions/3886402/how-to-get-numbers-after-decimal-point """ def decimal_isolate(number, digitAmount): """ Isolates the decimal part of a number. If digitAmount > 0 round to that decimal place, else print the entire decimal. >>> decimal_isolate(1.53, 0) 0.53 >>> decimal_isolate(35.345, 1) 0.3 >>> decimal_isolate(35.345, 2) 0.34 >>> decimal_isolate(35.345, 3) 0.345 >>> decimal_isolate(-14.789, 3) -0.789 >>> decimal_isolate(0, 2) 0 >>> decimal_isolate(-14.123, 1) -0.1 >>> decimal_isolate(-14.123, 2) -0.12 >>> decimal_isolate(-14.123, 3) -0.123 """ if digitAmount > 0: return round(number - int(number), digitAmount) return number - int(number) if __name__ == "__main__": print(decimal_isolate(1.53, 0)) print(decimal_isolate(35.345, 1)) print(decimal_isolate(35.345, 2)) print(decimal_isolate(35.345, 3)) print(decimal_isolate(-14.789, 3)) print(decimal_isolate(0, 2)) print(decimal_isolate(-14.123, 1)) print(decimal_isolate(-14.123, 2)) print(decimal_isolate(-14.123, 3))
""" Isolate the Decimal part of a Number https://stackoverflow.com/questions/3886402/how-to-get-numbers-after-decimal-point """ def decimal_isolate(number, digitAmount): """ Isolates the decimal part of a number. If digitAmount > 0 round to that decimal place, else print the entire decimal. >>> decimal_isolate(1.53, 0) 0.53 >>> decimal_isolate(35.345, 1) 0.3 >>> decimal_isolate(35.345, 2) 0.34 >>> decimal_isolate(35.345, 3) 0.345 >>> decimal_isolate(-14.789, 3) -0.789 >>> decimal_isolate(0, 2) 0 >>> decimal_isolate(-14.123, 1) -0.1 >>> decimal_isolate(-14.123, 2) -0.12 >>> decimal_isolate(-14.123, 3) -0.123 """ if digitAmount > 0: return round(number - int(number), digitAmount) return number - int(number) if __name__ == "__main__": print(decimal_isolate(1.53, 0)) print(decimal_isolate(35.345, 1)) print(decimal_isolate(35.345, 2)) print(decimal_isolate(35.345, 3)) print(decimal_isolate(-14.789, 3)) print(decimal_isolate(0, 2)) print(decimal_isolate(-14.123, 1)) print(decimal_isolate(-14.123, 2)) print(decimal_isolate(-14.123, 3))
-1
TheAlgorithms/Python
4,278
fix(mypy): Fix annotations for 13 cipher algorithms
Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
dhruvmanila
"2021-03-20T09:09:15Z"
"2021-03-22T06:59:51Z"
99a42f2b5821356718fb7d011ac711a6b4a63a83
14bcb580d55ee90614ad258ea31ef8fe4e4b5c40
fix(mypy): Fix annotations for 13 cipher algorithms. Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
""" Recaptcha is a free captcha service offered by Google in order to secure websites and forms. At https://www.google.com/recaptcha/admin/create you can create new recaptcha keys and see the keys that your have already created. * Keep in mind that recaptcha doesn't work with localhost When you create a recaptcha key, your will get two separate keys: ClientKey & SecretKey. ClientKey should be kept in your site's front end SecretKey should be kept in your site's back end # An example HTML login form with recaptcha tag is shown below <form action="" method="post"> <h2 class="text-center">Log in</h2> {% csrf_token %} <div class="form-group"> <input type="text" name="username" required="required"> </div> <div class="form-group"> <input type="password" name="password" required="required"> </div> <div class="form-group"> <button type="submit">Log in</button> </div> <!-- Below is the recaptcha tag of html --> <div class="g-recaptcha" data-sitekey="ClientKey"></div> </form> <!-- Below is the recaptcha script to be kept inside html tag --> <script src="https://www.google.com/recaptcha/api.js" async defer></script> Below a Django function for the views.py file contains a login form for demonstrating recaptcha verification. """ import requests try: from django.contrib.auth import authenticate, login from django.shortcuts import redirect, render except ImportError: authenticate = login = render = redirect = print def login_using_recaptcha(request): # Enter your recaptcha secret key here secret_key = "secretKey" url = "https://www.google.com/recaptcha/api/siteverify" # when method is not POST, direct user to login page if request.method != "POST": return render(request, "login.html") # from the frontend, get username, password, and client_key username = request.POST.get("username") password = request.POST.get("password") client_key = request.POST.get("g-recaptcha-response") # post recaptcha response to Google's recaptcha api response = requests.post(url, data={"secret": secret_key, "response": client_key}) # if the recaptcha api verified our keys if response.json().get("success", False): # authenticate the user user_in_database = authenticate(request, username=username, password=password) if user_in_database: login(request, user_in_database) return redirect("/your-webpage") return render(request, "login.html")
""" Recaptcha is a free captcha service offered by Google in order to secure websites and forms. At https://www.google.com/recaptcha/admin/create you can create new recaptcha keys and see the keys that your have already created. * Keep in mind that recaptcha doesn't work with localhost When you create a recaptcha key, your will get two separate keys: ClientKey & SecretKey. ClientKey should be kept in your site's front end SecretKey should be kept in your site's back end # An example HTML login form with recaptcha tag is shown below <form action="" method="post"> <h2 class="text-center">Log in</h2> {% csrf_token %} <div class="form-group"> <input type="text" name="username" required="required"> </div> <div class="form-group"> <input type="password" name="password" required="required"> </div> <div class="form-group"> <button type="submit">Log in</button> </div> <!-- Below is the recaptcha tag of html --> <div class="g-recaptcha" data-sitekey="ClientKey"></div> </form> <!-- Below is the recaptcha script to be kept inside html tag --> <script src="https://www.google.com/recaptcha/api.js" async defer></script> Below a Django function for the views.py file contains a login form for demonstrating recaptcha verification. """ import requests try: from django.contrib.auth import authenticate, login from django.shortcuts import redirect, render except ImportError: authenticate = login = render = redirect = print def login_using_recaptcha(request): # Enter your recaptcha secret key here secret_key = "secretKey" url = "https://www.google.com/recaptcha/api/siteverify" # when method is not POST, direct user to login page if request.method != "POST": return render(request, "login.html") # from the frontend, get username, password, and client_key username = request.POST.get("username") password = request.POST.get("password") client_key = request.POST.get("g-recaptcha-response") # post recaptcha response to Google's recaptcha api response = requests.post(url, data={"secret": secret_key, "response": client_key}) # if the recaptcha api verified our keys if response.json().get("success", False): # authenticate the user user_in_database = authenticate(request, username=username, password=password) if user_in_database: login(request, user_in_database) return redirect("/your-webpage") return render(request, "login.html")
-1
TheAlgorithms/Python
4,278
fix(mypy): Fix annotations for 13 cipher algorithms
Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
dhruvmanila
"2021-03-20T09:09:15Z"
"2021-03-22T06:59:51Z"
99a42f2b5821356718fb7d011ac711a6b4a63a83
14bcb580d55ee90614ad258ea31ef8fe4e4b5c40
fix(mypy): Fix annotations for 13 cipher algorithms. Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
""" A Queue using a linked list like structure """ from typing import Any class Node: def __init__(self, data: Any) -> None: self.data = data self.next = None def __str__(self) -> str: return f"{self.data}" class LinkedQueue: """ >>> queue = LinkedQueue() >>> queue.is_empty() True >>> queue.put(5) >>> queue.put(9) >>> queue.put('python') >>> queue.is_empty(); False >>> queue.get() 5 >>> queue.put('algorithms') >>> queue.get() 9 >>> queue.get() 'python' >>> queue.get() 'algorithms' >>> queue.is_empty() True >>> queue.get() Traceback (most recent call last): ... IndexError: dequeue from empty queue """ def __init__(self) -> None: self.front = self.rear = None def __iter__(self): node = self.front while node: yield node.data node = node.next def __len__(self) -> int: """ >>> queue = LinkedQueue() >>> for i in range(1, 6): ... queue.put(i) >>> len(queue) 5 >>> for i in range(1, 6): ... assert len(queue) == 6 - i ... _ = queue.get() >>> len(queue) 0 """ return len(tuple(iter(self))) def __str__(self) -> str: """ >>> queue = LinkedQueue() >>> for i in range(1, 4): ... queue.put(i) >>> queue.put("Python") >>> queue.put(3.14) >>> queue.put(True) >>> str(queue) '1 <- 2 <- 3 <- Python <- 3.14 <- True' """ return " <- ".join(str(item) for item in self) def is_empty(self) -> bool: """ >>> queue = LinkedQueue() >>> queue.is_empty() True >>> for i in range(1, 6): ... queue.put(i) >>> queue.is_empty() False """ return len(self) == 0 def put(self, item) -> None: """ >>> queue = LinkedQueue() >>> queue.get() Traceback (most recent call last): ... IndexError: dequeue from empty queue >>> for i in range(1, 6): ... queue.put(i) >>> str(queue) '1 <- 2 <- 3 <- 4 <- 5' """ node = Node(item) if self.is_empty(): self.front = self.rear = node else: assert isinstance(self.rear, Node) self.rear.next = node self.rear = node def get(self) -> Any: """ >>> queue = LinkedQueue() >>> queue.get() Traceback (most recent call last): ... IndexError: dequeue from empty queue >>> queue = LinkedQueue() >>> for i in range(1, 6): ... queue.put(i) >>> for i in range(1, 6): ... assert queue.get() == i >>> len(queue) 0 """ if self.is_empty(): raise IndexError("dequeue from empty queue") assert isinstance(self.front, Node) node = self.front self.front = self.front.next if self.front is None: self.rear = None return node.data def clear(self) -> None: """ >>> queue = LinkedQueue() >>> for i in range(1, 6): ... queue.put(i) >>> queue.clear() >>> len(queue) 0 >>> str(queue) '' """ self.front = self.rear = None if __name__ == "__main__": from doctest import testmod testmod()
""" A Queue using a linked list like structure """ from typing import Any class Node: def __init__(self, data: Any) -> None: self.data = data self.next = None def __str__(self) -> str: return f"{self.data}" class LinkedQueue: """ >>> queue = LinkedQueue() >>> queue.is_empty() True >>> queue.put(5) >>> queue.put(9) >>> queue.put('python') >>> queue.is_empty(); False >>> queue.get() 5 >>> queue.put('algorithms') >>> queue.get() 9 >>> queue.get() 'python' >>> queue.get() 'algorithms' >>> queue.is_empty() True >>> queue.get() Traceback (most recent call last): ... IndexError: dequeue from empty queue """ def __init__(self) -> None: self.front = self.rear = None def __iter__(self): node = self.front while node: yield node.data node = node.next def __len__(self) -> int: """ >>> queue = LinkedQueue() >>> for i in range(1, 6): ... queue.put(i) >>> len(queue) 5 >>> for i in range(1, 6): ... assert len(queue) == 6 - i ... _ = queue.get() >>> len(queue) 0 """ return len(tuple(iter(self))) def __str__(self) -> str: """ >>> queue = LinkedQueue() >>> for i in range(1, 4): ... queue.put(i) >>> queue.put("Python") >>> queue.put(3.14) >>> queue.put(True) >>> str(queue) '1 <- 2 <- 3 <- Python <- 3.14 <- True' """ return " <- ".join(str(item) for item in self) def is_empty(self) -> bool: """ >>> queue = LinkedQueue() >>> queue.is_empty() True >>> for i in range(1, 6): ... queue.put(i) >>> queue.is_empty() False """ return len(self) == 0 def put(self, item) -> None: """ >>> queue = LinkedQueue() >>> queue.get() Traceback (most recent call last): ... IndexError: dequeue from empty queue >>> for i in range(1, 6): ... queue.put(i) >>> str(queue) '1 <- 2 <- 3 <- 4 <- 5' """ node = Node(item) if self.is_empty(): self.front = self.rear = node else: assert isinstance(self.rear, Node) self.rear.next = node self.rear = node def get(self) -> Any: """ >>> queue = LinkedQueue() >>> queue.get() Traceback (most recent call last): ... IndexError: dequeue from empty queue >>> queue = LinkedQueue() >>> for i in range(1, 6): ... queue.put(i) >>> for i in range(1, 6): ... assert queue.get() == i >>> len(queue) 0 """ if self.is_empty(): raise IndexError("dequeue from empty queue") assert isinstance(self.front, Node) node = self.front self.front = self.front.next if self.front is None: self.rear = None return node.data def clear(self) -> None: """ >>> queue = LinkedQueue() >>> for i in range(1, 6): ... queue.put(i) >>> queue.clear() >>> len(queue) 0 >>> str(queue) '' """ self.front = self.rear = None if __name__ == "__main__": from doctest import testmod testmod()
-1
TheAlgorithms/Python
4,278
fix(mypy): Fix annotations for 13 cipher algorithms
Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
dhruvmanila
"2021-03-20T09:09:15Z"
"2021-03-22T06:59:51Z"
99a42f2b5821356718fb7d011ac711a6b4a63a83
14bcb580d55ee90614ad258ea31ef8fe4e4b5c40
fix(mypy): Fix annotations for 13 cipher algorithms. Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
from __future__ import annotations def n31(a: int) -> tuple[list[int], int]: """ Returns the Collatz sequence and its length of any positive integer. >>> n31(4) ([4, 2, 1], 3) """ if not isinstance(a, int): raise TypeError(f"Must be int, not {type(a).__name__}") if a < 1: raise ValueError(f"Given integer must be greater than 1, not {a}") path = [a] while a != 1: if a % 2 == 0: a = a // 2 else: a = 3 * a + 1 path += [a] return path, len(path) def test_n31(): """ >>> test_n31() """ assert n31(4) == ([4, 2, 1], 3) assert n31(11) == ([11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1], 15) assert n31(31) == ( [ 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1, ], 107, ) if __name__ == "__main__": num = 4 path, length = n31(num) print(f"The Collatz sequence of {num} took {length} steps. \nPath: {path}")
from __future__ import annotations def n31(a: int) -> tuple[list[int], int]: """ Returns the Collatz sequence and its length of any positive integer. >>> n31(4) ([4, 2, 1], 3) """ if not isinstance(a, int): raise TypeError(f"Must be int, not {type(a).__name__}") if a < 1: raise ValueError(f"Given integer must be greater than 1, not {a}") path = [a] while a != 1: if a % 2 == 0: a = a // 2 else: a = 3 * a + 1 path += [a] return path, len(path) def test_n31(): """ >>> test_n31() """ assert n31(4) == ([4, 2, 1], 3) assert n31(11) == ([11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1], 15) assert n31(31) == ( [ 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1, ], 107, ) if __name__ == "__main__": num = 4 path, length = n31(num) print(f"The Collatz sequence of {num} took {length} steps. \nPath: {path}")
-1
TheAlgorithms/Python
4,278
fix(mypy): Fix annotations for 13 cipher algorithms
Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
dhruvmanila
"2021-03-20T09:09:15Z"
"2021-03-22T06:59:51Z"
99a42f2b5821356718fb7d011ac711a6b4a63a83
14bcb580d55ee90614ad258ea31ef8fe4e4b5c40
fix(mypy): Fix annotations for 13 cipher algorithms. Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
#!/bin/sh # # An example hook script to make use of push options. # The example simply echoes all push options that start with 'echoback=' # and rejects all pushes when the "reject" push option is used. # # To enable this hook, rename this file to "pre-receive". if test -n "$GIT_PUSH_OPTION_COUNT" then i=0 while test "$i" -lt "$GIT_PUSH_OPTION_COUNT" do eval "value=\$GIT_PUSH_OPTION_$i" case "$value" in echoback=*) echo "echo from the pre-receive-hook: ${value#*=}" >&2 ;; reject) exit 1 esac i=$((i + 1)) done fi
#!/bin/sh # # An example hook script to make use of push options. # The example simply echoes all push options that start with 'echoback=' # and rejects all pushes when the "reject" push option is used. # # To enable this hook, rename this file to "pre-receive". if test -n "$GIT_PUSH_OPTION_COUNT" then i=0 while test "$i" -lt "$GIT_PUSH_OPTION_COUNT" do eval "value=\$GIT_PUSH_OPTION_$i" case "$value" in echoback=*) echo "echo from the pre-receive-hook: ${value#*=}" >&2 ;; reject) exit 1 esac i=$((i + 1)) done fi
-1
TheAlgorithms/Python
4,278
fix(mypy): Fix annotations for 13 cipher algorithms
Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
dhruvmanila
"2021-03-20T09:09:15Z"
"2021-03-22T06:59:51Z"
99a42f2b5821356718fb7d011ac711a6b4a63a83
14bcb580d55ee90614ad258ea31ef8fe4e4b5c40
fix(mypy): Fix annotations for 13 cipher algorithms. Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
"""Absolute Value.""" def abs_val(num): """ Find the absolute value of a number. >>> abs_val(-5.1) 5.1 >>> abs_val(-5) == abs_val(5) True >>> abs_val(0) 0 """ return -num if num < 0 else num def test_abs_val(): """ >>> test_abs_val() """ assert 0 == abs_val(0) assert 34 == abs_val(34) assert 100000000000 == abs_val(-100000000000) if __name__ == "__main__": print(abs_val(-34)) # --> 34
"""Absolute Value.""" def abs_val(num): """ Find the absolute value of a number. >>> abs_val(-5.1) 5.1 >>> abs_val(-5) == abs_val(5) True >>> abs_val(0) 0 """ return -num if num < 0 else num def test_abs_val(): """ >>> test_abs_val() """ assert 0 == abs_val(0) assert 34 == abs_val(34) assert 100000000000 == abs_val(-100000000000) if __name__ == "__main__": print(abs_val(-34)) # --> 34
-1
TheAlgorithms/Python
4,278
fix(mypy): Fix annotations for 13 cipher algorithms
Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
dhruvmanila
"2021-03-20T09:09:15Z"
"2021-03-22T06:59:51Z"
99a42f2b5821356718fb7d011ac711a6b4a63a83
14bcb580d55ee90614ad258ea31ef8fe4e4b5c40
fix(mypy): Fix annotations for 13 cipher algorithms. Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
""" - A linked list is similar to an array, it holds values. However, links in a linked list do not have indexes. - This is an example of a double ended, doubly linked list. - Each link references the next link and the previous one. - A Doubly Linked List (DLL) contains an extra pointer, typically called previous pointer, together with next pointer and data which are there in singly linked list. - Advantages over SLL - It can be traversed in both forward and backward direction. Delete operation is more efficient """ class Node: def __init__(self, data: int, previous=None, next_node=None): self.data = data self.previous = previous self.next = next_node def __str__(self) -> str: return f"{self.data}" def get_data(self) -> int: return self.data def get_next(self): return self.next def get_previous(self): return self.previous class LinkedListIterator: def __init__(self, head): self.current = head def __iter__(self): return self def __next__(self): if not self.current: raise StopIteration else: value = self.current.get_data() self.current = self.current.get_next() return value class LinkedList: def __init__(self): self.head = None # First node in list self.tail = None # Last node in list def __str__(self): current = self.head nodes = [] while current is not None: nodes.append(current.get_data()) current = current.get_next() return " ".join(str(node) for node in nodes) def __contains__(self, value: int): current = self.head while current: if current.get_data() == value: return True current = current.get_next() return False def __iter__(self): return LinkedListIterator(self.head) def get_head_data(self): if self.head: return self.head.get_data() return None def get_tail_data(self): if self.tail: return self.tail.get_data() return None def set_head(self, node: Node) -> None: if self.head is None: self.head = node self.tail = node else: self.insert_before_node(self.head, node) def set_tail(self, node: Node) -> None: if self.head is None: self.set_head(node) else: self.insert_after_node(self.tail, node) def insert(self, value: int) -> None: node = Node(value) if self.head is None: self.set_head(node) else: self.set_tail(node) def insert_before_node(self, node: Node, node_to_insert: Node) -> None: node_to_insert.next = node node_to_insert.previous = node.previous if node.get_previous() is None: self.head = node_to_insert else: node.previous.next = node_to_insert node.previous = node_to_insert def insert_after_node(self, node: Node, node_to_insert: Node) -> None: node_to_insert.previous = node node_to_insert.next = node.next if node.get_next() is None: self.tail = node_to_insert else: node.next.previous = node_to_insert node.next = node_to_insert def insert_at_position(self, position: int, value: int) -> None: current_position = 1 new_node = Node(value) node = self.head while node: if current_position == position: self.insert_before_node(node, new_node) return None current_position += 1 node = node.next self.insert_after_node(self.tail, new_node) def get_node(self, item: int) -> Node: node = self.head while node: if node.get_data() == item: return node node = node.get_next() raise Exception("Node not found") def delete_value(self, value): node = self.get_node(value) if node is not None: if node == self.head: self.head = self.head.get_next() if node == self.tail: self.tail = self.tail.get_previous() self.remove_node_pointers(node) @staticmethod def remove_node_pointers(node: Node) -> None: if node.get_next(): node.next.previous = node.previous if node.get_previous(): node.previous.next = node.next node.next = None node.previous = None def is_empty(self): return self.head is None def create_linked_list() -> None: """ >>> new_linked_list = LinkedList() >>> new_linked_list.get_head_data() is None True >>> new_linked_list.get_tail_data() is None True >>> new_linked_list.is_empty() True >>> new_linked_list.insert(10) >>> new_linked_list.get_head_data() 10 >>> new_linked_list.get_tail_data() 10 >>> new_linked_list.insert_at_position(position=3, value=20) >>> new_linked_list.get_head_data() 10 >>> new_linked_list.get_tail_data() 20 >>> new_linked_list.set_head(Node(1000)) >>> new_linked_list.get_head_data() 1000 >>> new_linked_list.get_tail_data() 20 >>> new_linked_list.set_tail(Node(2000)) >>> new_linked_list.get_head_data() 1000 >>> new_linked_list.get_tail_data() 2000 >>> for value in new_linked_list: ... print(value) 1000 10 20 2000 >>> new_linked_list.is_empty() False >>> for value in new_linked_list: ... print(value) 1000 10 20 2000 >>> 10 in new_linked_list True >>> new_linked_list.delete_value(value=10) >>> 10 in new_linked_list False >>> new_linked_list.delete_value(value=2000) >>> new_linked_list.get_tail_data() 20 >>> new_linked_list.delete_value(value=1000) >>> new_linked_list.get_tail_data() 20 >>> new_linked_list.get_head_data() 20 >>> for value in new_linked_list: ... print(value) 20 >>> new_linked_list.delete_value(value=20) >>> for value in new_linked_list: ... print(value) >>> for value in range(1,10): ... new_linked_list.insert(value=value) >>> for value in new_linked_list: ... print(value) 1 2 3 4 5 6 7 8 9 """ if __name__ == "__main__": import doctest doctest.testmod()
""" - A linked list is similar to an array, it holds values. However, links in a linked list do not have indexes. - This is an example of a double ended, doubly linked list. - Each link references the next link and the previous one. - A Doubly Linked List (DLL) contains an extra pointer, typically called previous pointer, together with next pointer and data which are there in singly linked list. - Advantages over SLL - It can be traversed in both forward and backward direction. Delete operation is more efficient """ class Node: def __init__(self, data: int, previous=None, next_node=None): self.data = data self.previous = previous self.next = next_node def __str__(self) -> str: return f"{self.data}" def get_data(self) -> int: return self.data def get_next(self): return self.next def get_previous(self): return self.previous class LinkedListIterator: def __init__(self, head): self.current = head def __iter__(self): return self def __next__(self): if not self.current: raise StopIteration else: value = self.current.get_data() self.current = self.current.get_next() return value class LinkedList: def __init__(self): self.head = None # First node in list self.tail = None # Last node in list def __str__(self): current = self.head nodes = [] while current is not None: nodes.append(current.get_data()) current = current.get_next() return " ".join(str(node) for node in nodes) def __contains__(self, value: int): current = self.head while current: if current.get_data() == value: return True current = current.get_next() return False def __iter__(self): return LinkedListIterator(self.head) def get_head_data(self): if self.head: return self.head.get_data() return None def get_tail_data(self): if self.tail: return self.tail.get_data() return None def set_head(self, node: Node) -> None: if self.head is None: self.head = node self.tail = node else: self.insert_before_node(self.head, node) def set_tail(self, node: Node) -> None: if self.head is None: self.set_head(node) else: self.insert_after_node(self.tail, node) def insert(self, value: int) -> None: node = Node(value) if self.head is None: self.set_head(node) else: self.set_tail(node) def insert_before_node(self, node: Node, node_to_insert: Node) -> None: node_to_insert.next = node node_to_insert.previous = node.previous if node.get_previous() is None: self.head = node_to_insert else: node.previous.next = node_to_insert node.previous = node_to_insert def insert_after_node(self, node: Node, node_to_insert: Node) -> None: node_to_insert.previous = node node_to_insert.next = node.next if node.get_next() is None: self.tail = node_to_insert else: node.next.previous = node_to_insert node.next = node_to_insert def insert_at_position(self, position: int, value: int) -> None: current_position = 1 new_node = Node(value) node = self.head while node: if current_position == position: self.insert_before_node(node, new_node) return None current_position += 1 node = node.next self.insert_after_node(self.tail, new_node) def get_node(self, item: int) -> Node: node = self.head while node: if node.get_data() == item: return node node = node.get_next() raise Exception("Node not found") def delete_value(self, value): node = self.get_node(value) if node is not None: if node == self.head: self.head = self.head.get_next() if node == self.tail: self.tail = self.tail.get_previous() self.remove_node_pointers(node) @staticmethod def remove_node_pointers(node: Node) -> None: if node.get_next(): node.next.previous = node.previous if node.get_previous(): node.previous.next = node.next node.next = None node.previous = None def is_empty(self): return self.head is None def create_linked_list() -> None: """ >>> new_linked_list = LinkedList() >>> new_linked_list.get_head_data() is None True >>> new_linked_list.get_tail_data() is None True >>> new_linked_list.is_empty() True >>> new_linked_list.insert(10) >>> new_linked_list.get_head_data() 10 >>> new_linked_list.get_tail_data() 10 >>> new_linked_list.insert_at_position(position=3, value=20) >>> new_linked_list.get_head_data() 10 >>> new_linked_list.get_tail_data() 20 >>> new_linked_list.set_head(Node(1000)) >>> new_linked_list.get_head_data() 1000 >>> new_linked_list.get_tail_data() 20 >>> new_linked_list.set_tail(Node(2000)) >>> new_linked_list.get_head_data() 1000 >>> new_linked_list.get_tail_data() 2000 >>> for value in new_linked_list: ... print(value) 1000 10 20 2000 >>> new_linked_list.is_empty() False >>> for value in new_linked_list: ... print(value) 1000 10 20 2000 >>> 10 in new_linked_list True >>> new_linked_list.delete_value(value=10) >>> 10 in new_linked_list False >>> new_linked_list.delete_value(value=2000) >>> new_linked_list.get_tail_data() 20 >>> new_linked_list.delete_value(value=1000) >>> new_linked_list.get_tail_data() 20 >>> new_linked_list.get_head_data() 20 >>> for value in new_linked_list: ... print(value) 20 >>> new_linked_list.delete_value(value=20) >>> for value in new_linked_list: ... print(value) >>> for value in range(1,10): ... new_linked_list.insert(value=value) >>> for value in new_linked_list: ... print(value) 1 2 3 4 5 6 7 8 9 """ if __name__ == "__main__": import doctest doctest.testmod()
-1
TheAlgorithms/Python
4,278
fix(mypy): Fix annotations for 13 cipher algorithms
Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
dhruvmanila
"2021-03-20T09:09:15Z"
"2021-03-22T06:59:51Z"
99a42f2b5821356718fb7d011ac711a6b4a63a83
14bcb580d55ee90614ad258ea31ef8fe4e4b5c40
fix(mypy): Fix annotations for 13 cipher algorithms. Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
#!/usr/bin/python """ The Fisher–Yates shuffle is an algorithm for generating a random permutation of a finite sequence. For more details visit wikipedia/Fischer-Yates-Shuffle. """ import random def FYshuffle(list): for i in range(len(list)): a = random.randint(0, len(list) - 1) b = random.randint(0, len(list) - 1) list[a], list[b] = list[b], list[a] return list if __name__ == "__main__": integers = [0, 1, 2, 3, 4, 5, 6, 7] strings = ["python", "says", "hello", "!"] print("Fisher-Yates Shuffle:") print("List", integers, strings) print("FY Shuffle", FYshuffle(integers), FYshuffle(strings))
#!/usr/bin/python """ The Fisher–Yates shuffle is an algorithm for generating a random permutation of a finite sequence. For more details visit wikipedia/Fischer-Yates-Shuffle. """ import random def FYshuffle(list): for i in range(len(list)): a = random.randint(0, len(list) - 1) b = random.randint(0, len(list) - 1) list[a], list[b] = list[b], list[a] return list if __name__ == "__main__": integers = [0, 1, 2, 3, 4, 5, 6, 7] strings = ["python", "says", "hello", "!"] print("Fisher-Yates Shuffle:") print("List", integers, strings) print("FY Shuffle", FYshuffle(integers), FYshuffle(strings))
-1
TheAlgorithms/Python
4,278
fix(mypy): Fix annotations for 13 cipher algorithms
Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
dhruvmanila
"2021-03-20T09:09:15Z"
"2021-03-22T06:59:51Z"
99a42f2b5821356718fb7d011ac711a6b4a63a83
14bcb580d55ee90614ad258ea31ef8fe4e4b5c40
fix(mypy): Fix annotations for 13 cipher algorithms. Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
from __future__ import annotations def abs_max(x: list[int]) -> int: """ >>> abs_max([0,5,1,11]) 11 >>> abs_max([3,-10,-2]) -10 """ j = x[0] for i in x: if abs(i) > abs(j): j = i return j def abs_max_sort(x): """ >>> abs_max_sort([0,5,1,11]) 11 >>> abs_max_sort([3,-10,-2]) -10 """ return sorted(x, key=abs)[-1] def main(): a = [1, 2, -11] assert abs_max(a) == -11 assert abs_max_sort(a) == -11 if __name__ == "__main__": main()
from __future__ import annotations def abs_max(x: list[int]) -> int: """ >>> abs_max([0,5,1,11]) 11 >>> abs_max([3,-10,-2]) -10 """ j = x[0] for i in x: if abs(i) > abs(j): j = i return j def abs_max_sort(x): """ >>> abs_max_sort([0,5,1,11]) 11 >>> abs_max_sort([3,-10,-2]) -10 """ return sorted(x, key=abs)[-1] def main(): a = [1, 2, -11] assert abs_max(a) == -11 assert abs_max_sort(a) == -11 if __name__ == "__main__": main()
-1
TheAlgorithms/Python
4,278
fix(mypy): Fix annotations for 13 cipher algorithms
Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
dhruvmanila
"2021-03-20T09:09:15Z"
"2021-03-22T06:59:51Z"
99a42f2b5821356718fb7d011ac711a6b4a63a83
14bcb580d55ee90614ad258ea31ef8fe4e4b5c40
fix(mypy): Fix annotations for 13 cipher algorithms. Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
""" Fast Polynomial Multiplication using radix-2 fast Fourier Transform. """ import mpmath # for roots of unity import numpy as np class FFT: """ Fast Polynomial Multiplication using radix-2 fast Fourier Transform. Reference: https://en.wikipedia.org/wiki/Cooley%E2%80%93Tukey_FFT_algorithm#The_radix-2_DIT_case For polynomials of degree m and n the algorithms has complexity O(n*logn + m*logm) The main part of the algorithm is split in two parts: 1) __DFT: We compute the discrete fourier transform (DFT) of A and B using a bottom-up dynamic approach - 2) __multiply: Once we obtain the DFT of A*B, we can similarly invert it to obtain A*B The class FFT takes two polynomials A and B with complex coefficients as arguments; The two polynomials should be represented as a sequence of coefficients starting from the free term. Thus, for instance x + 2*x^3 could be represented as [0,1,0,2] or (0,1,0,2). The constructor adds some zeros at the end so that the polynomials have the same length which is a power of 2 at least the length of their product. Example: Create two polynomials as sequences >>> A = [0, 1, 0, 2] # x+2x^3 >>> B = (2, 3, 4, 0) # 2+3x+4x^2 Create an FFT object with them >>> x = FFT(A, B) Print product >>> print(x.product) # 2x + 3x^2 + 8x^3 + 4x^4 + 6x^5 [(-0+0j), (2+0j), (3+0j), (8+0j), (6+0j), (8+0j)] __str__ test >>> print(x) A = 0*x^0 + 1*x^1 + 2*x^0 + 3*x^2 B = 0*x^2 + 1*x^3 + 2*x^4 A*B = 0*x^(-0+0j) + 1*x^(2+0j) + 2*x^(3+0j) + 3*x^(8+0j) + 4*x^(6+0j) + 5*x^(8+0j) """ def __init__(self, polyA=[0], polyB=[0]): # Input as list self.polyA = list(polyA)[:] self.polyB = list(polyB)[:] # Remove leading zero coefficients while self.polyA[-1] == 0: self.polyA.pop() self.len_A = len(self.polyA) while self.polyB[-1] == 0: self.polyB.pop() self.len_B = len(self.polyB) # Add 0 to make lengths equal a power of 2 self.C_max_length = int( 2 ** np.ceil(np.log2(len(self.polyA) + len(self.polyB) - 1)) ) while len(self.polyA) < self.C_max_length: self.polyA.append(0) while len(self.polyB) < self.C_max_length: self.polyB.append(0) # A complex root used for the fourier transform self.root = complex(mpmath.root(x=1, n=self.C_max_length, k=1)) # The product self.product = self.__multiply() # Discrete fourier transform of A and B def __DFT(self, which): if which == "A": dft = [[x] for x in self.polyA] else: dft = [[x] for x in self.polyB] # Corner case if len(dft) <= 1: return dft[0] # next_ncol = self.C_max_length // 2 while next_ncol > 0: new_dft = [[] for i in range(next_ncol)] root = self.root ** next_ncol # First half of next step current_root = 1 for j in range(self.C_max_length // (next_ncol * 2)): for i in range(next_ncol): new_dft[i].append(dft[i][j] + current_root * dft[i + next_ncol][j]) current_root *= root # Second half of next step current_root = 1 for j in range(self.C_max_length // (next_ncol * 2)): for i in range(next_ncol): new_dft[i].append(dft[i][j] - current_root * dft[i + next_ncol][j]) current_root *= root # Update dft = new_dft next_ncol = next_ncol // 2 return dft[0] # multiply the DFTs of A and B and find A*B def __multiply(self): dftA = self.__DFT("A") dftB = self.__DFT("B") inverseC = [[dftA[i] * dftB[i] for i in range(self.C_max_length)]] del dftA del dftB # Corner Case if len(inverseC[0]) <= 1: return inverseC[0] # Inverse DFT next_ncol = 2 while next_ncol <= self.C_max_length: new_inverseC = [[] for i in range(next_ncol)] root = self.root ** (next_ncol // 2) current_root = 1 # First half of next step for j in range(self.C_max_length // next_ncol): for i in range(next_ncol // 2): # Even positions new_inverseC[i].append( ( inverseC[i][j] + inverseC[i][j + self.C_max_length // next_ncol] ) / 2 ) # Odd positions new_inverseC[i + next_ncol // 2].append( ( inverseC[i][j] - inverseC[i][j + self.C_max_length // next_ncol] ) / (2 * current_root) ) current_root *= root # Update inverseC = new_inverseC next_ncol *= 2 # Unpack inverseC = [round(x[0].real, 8) + round(x[0].imag, 8) * 1j for x in inverseC] # Remove leading 0's while inverseC[-1] == 0: inverseC.pop() return inverseC # Overwrite __str__ for print(); Shows A, B and A*B def __str__(self): A = "A = " + " + ".join( f"{coef}*x^{i}" for coef, i in enumerate(self.polyA[: self.len_A]) ) B = "B = " + " + ".join( f"{coef}*x^{i}" for coef, i in enumerate(self.polyB[: self.len_B]) ) C = "A*B = " + " + ".join( f"{coef}*x^{i}" for coef, i in enumerate(self.product) ) return "\n".join((A, B, C)) # Unit tests if __name__ == "__main__": import doctest doctest.testmod()
""" Fast Polynomial Multiplication using radix-2 fast Fourier Transform. """ import mpmath # for roots of unity import numpy as np class FFT: """ Fast Polynomial Multiplication using radix-2 fast Fourier Transform. Reference: https://en.wikipedia.org/wiki/Cooley%E2%80%93Tukey_FFT_algorithm#The_radix-2_DIT_case For polynomials of degree m and n the algorithms has complexity O(n*logn + m*logm) The main part of the algorithm is split in two parts: 1) __DFT: We compute the discrete fourier transform (DFT) of A and B using a bottom-up dynamic approach - 2) __multiply: Once we obtain the DFT of A*B, we can similarly invert it to obtain A*B The class FFT takes two polynomials A and B with complex coefficients as arguments; The two polynomials should be represented as a sequence of coefficients starting from the free term. Thus, for instance x + 2*x^3 could be represented as [0,1,0,2] or (0,1,0,2). The constructor adds some zeros at the end so that the polynomials have the same length which is a power of 2 at least the length of their product. Example: Create two polynomials as sequences >>> A = [0, 1, 0, 2] # x+2x^3 >>> B = (2, 3, 4, 0) # 2+3x+4x^2 Create an FFT object with them >>> x = FFT(A, B) Print product >>> print(x.product) # 2x + 3x^2 + 8x^3 + 4x^4 + 6x^5 [(-0+0j), (2+0j), (3+0j), (8+0j), (6+0j), (8+0j)] __str__ test >>> print(x) A = 0*x^0 + 1*x^1 + 2*x^0 + 3*x^2 B = 0*x^2 + 1*x^3 + 2*x^4 A*B = 0*x^(-0+0j) + 1*x^(2+0j) + 2*x^(3+0j) + 3*x^(8+0j) + 4*x^(6+0j) + 5*x^(8+0j) """ def __init__(self, polyA=[0], polyB=[0]): # Input as list self.polyA = list(polyA)[:] self.polyB = list(polyB)[:] # Remove leading zero coefficients while self.polyA[-1] == 0: self.polyA.pop() self.len_A = len(self.polyA) while self.polyB[-1] == 0: self.polyB.pop() self.len_B = len(self.polyB) # Add 0 to make lengths equal a power of 2 self.C_max_length = int( 2 ** np.ceil(np.log2(len(self.polyA) + len(self.polyB) - 1)) ) while len(self.polyA) < self.C_max_length: self.polyA.append(0) while len(self.polyB) < self.C_max_length: self.polyB.append(0) # A complex root used for the fourier transform self.root = complex(mpmath.root(x=1, n=self.C_max_length, k=1)) # The product self.product = self.__multiply() # Discrete fourier transform of A and B def __DFT(self, which): if which == "A": dft = [[x] for x in self.polyA] else: dft = [[x] for x in self.polyB] # Corner case if len(dft) <= 1: return dft[0] # next_ncol = self.C_max_length // 2 while next_ncol > 0: new_dft = [[] for i in range(next_ncol)] root = self.root ** next_ncol # First half of next step current_root = 1 for j in range(self.C_max_length // (next_ncol * 2)): for i in range(next_ncol): new_dft[i].append(dft[i][j] + current_root * dft[i + next_ncol][j]) current_root *= root # Second half of next step current_root = 1 for j in range(self.C_max_length // (next_ncol * 2)): for i in range(next_ncol): new_dft[i].append(dft[i][j] - current_root * dft[i + next_ncol][j]) current_root *= root # Update dft = new_dft next_ncol = next_ncol // 2 return dft[0] # multiply the DFTs of A and B and find A*B def __multiply(self): dftA = self.__DFT("A") dftB = self.__DFT("B") inverseC = [[dftA[i] * dftB[i] for i in range(self.C_max_length)]] del dftA del dftB # Corner Case if len(inverseC[0]) <= 1: return inverseC[0] # Inverse DFT next_ncol = 2 while next_ncol <= self.C_max_length: new_inverseC = [[] for i in range(next_ncol)] root = self.root ** (next_ncol // 2) current_root = 1 # First half of next step for j in range(self.C_max_length // next_ncol): for i in range(next_ncol // 2): # Even positions new_inverseC[i].append( ( inverseC[i][j] + inverseC[i][j + self.C_max_length // next_ncol] ) / 2 ) # Odd positions new_inverseC[i + next_ncol // 2].append( ( inverseC[i][j] - inverseC[i][j + self.C_max_length // next_ncol] ) / (2 * current_root) ) current_root *= root # Update inverseC = new_inverseC next_ncol *= 2 # Unpack inverseC = [round(x[0].real, 8) + round(x[0].imag, 8) * 1j for x in inverseC] # Remove leading 0's while inverseC[-1] == 0: inverseC.pop() return inverseC # Overwrite __str__ for print(); Shows A, B and A*B def __str__(self): A = "A = " + " + ".join( f"{coef}*x^{i}" for coef, i in enumerate(self.polyA[: self.len_A]) ) B = "B = " + " + ".join( f"{coef}*x^{i}" for coef, i in enumerate(self.polyB[: self.len_B]) ) C = "A*B = " + " + ".join( f"{coef}*x^{i}" for coef, i in enumerate(self.product) ) return "\n".join((A, B, C)) # Unit tests if __name__ == "__main__": import doctest doctest.testmod()
-1
TheAlgorithms/Python
4,278
fix(mypy): Fix annotations for 13 cipher algorithms
Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
dhruvmanila
"2021-03-20T09:09:15Z"
"2021-03-22T06:59:51Z"
99a42f2b5821356718fb7d011ac711a6b4a63a83
14bcb580d55ee90614ad258ea31ef8fe4e4b5c40
fix(mypy): Fix annotations for 13 cipher algorithms. Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
""" Shortest job remaining first Please note arrival time and burst Please use spaces to separate times entered. """ from typing import List import pandas as pd def calculate_waitingtime( arrival_time: List[int], burst_time: List[int], no_of_processes: int ) -> List[int]: """ Calculate the waiting time of each processes Return: List of waiting times. >>> calculate_waitingtime([1,2,3,4],[3,3,5,1],4) [0, 3, 5, 0] >>> calculate_waitingtime([1,2,3],[2,5,1],3) [0, 2, 0] >>> calculate_waitingtime([2,3],[5,1],2) [1, 0] """ remaining_time = [0] * no_of_processes waiting_time = [0] * no_of_processes # Copy the burst time into remaining_time[] for i in range(no_of_processes): remaining_time[i] = burst_time[i] complete = 0 increment_time = 0 minm = 999999999 short = 0 check = False # Process until all processes are completed while complete != no_of_processes: for j in range(no_of_processes): if arrival_time[j] <= increment_time: if remaining_time[j] > 0: if remaining_time[j] < minm: minm = remaining_time[j] short = j check = True if not check: increment_time += 1 continue remaining_time[short] -= 1 minm = remaining_time[short] if minm == 0: minm = 999999999 if remaining_time[short] == 0: complete += 1 check = False # Find finish time of current process finish_time = increment_time + 1 # Calculate waiting time finar = finish_time - arrival_time[short] waiting_time[short] = finar - burst_time[short] if waiting_time[short] < 0: waiting_time[short] = 0 # Increment time increment_time += 1 return waiting_time def calculate_turnaroundtime( burst_time: List[int], no_of_processes: int, waiting_time: List[int] ) -> List[int]: """ Calculate the turn around time of each Processes Return: list of turn around times. >>> calculate_turnaroundtime([3,3,5,1], 4, [0,3,5,0]) [3, 6, 10, 1] >>> calculate_turnaroundtime([3,3], 2, [0,3]) [3, 6] >>> calculate_turnaroundtime([8,10,1], 3, [1,0,3]) [9, 10, 4] """ turn_around_time = [0] * no_of_processes for i in range(no_of_processes): turn_around_time[i] = burst_time[i] + waiting_time[i] return turn_around_time def calculate_average_times( waiting_time: List[int], turn_around_time: List[int], no_of_processes: int ) -> None: """ This function calculates the average of the waiting & turnaround times Prints: Average Waiting time & Average Turn Around Time >>> calculate_average_times([0,3,5,0],[3,6,10,1],4) Average waiting time = 2.00000 Average turn around time = 5.0 >>> calculate_average_times([2,3],[3,6],2) Average waiting time = 2.50000 Average turn around time = 4.5 >>> calculate_average_times([10,4,3],[2,7,6],3) Average waiting time = 5.66667 Average turn around time = 5.0 """ total_waiting_time = 0 total_turn_around_time = 0 for i in range(no_of_processes): total_waiting_time = total_waiting_time + waiting_time[i] total_turn_around_time = total_turn_around_time + turn_around_time[i] print("Average waiting time = %.5f" % (total_waiting_time / no_of_processes)) print("Average turn around time =", total_turn_around_time / no_of_processes) if __name__ == "__main__": print("Enter how many process you want to analyze") no_of_processes = int(input()) burst_time = [0] * no_of_processes arrival_time = [0] * no_of_processes processes = list(range(1, no_of_processes + 1)) for i in range(no_of_processes): print("Enter the arrival time and brust time for process:--" + str(i + 1)) arrival_time[i], burst_time[i] = map(int, input().split()) waiting_time = calculate_waitingtime(arrival_time, burst_time, no_of_processes) bt = burst_time n = no_of_processes wt = waiting_time turn_around_time = calculate_turnaroundtime(bt, n, wt) calculate_average_times(waiting_time, turn_around_time, no_of_processes) fcfs = pd.DataFrame( list(zip(processes, burst_time, arrival_time, waiting_time, turn_around_time)), columns=[ "Process", "BurstTime", "ArrivalTime", "WaitingTime", "TurnAroundTime", ], ) # Printing the dataFrame pd.set_option("display.max_rows", fcfs.shape[0] + 1) print(fcfs)
""" Shortest job remaining first Please note arrival time and burst Please use spaces to separate times entered. """ from typing import List import pandas as pd def calculate_waitingtime( arrival_time: List[int], burst_time: List[int], no_of_processes: int ) -> List[int]: """ Calculate the waiting time of each processes Return: List of waiting times. >>> calculate_waitingtime([1,2,3,4],[3,3,5,1],4) [0, 3, 5, 0] >>> calculate_waitingtime([1,2,3],[2,5,1],3) [0, 2, 0] >>> calculate_waitingtime([2,3],[5,1],2) [1, 0] """ remaining_time = [0] * no_of_processes waiting_time = [0] * no_of_processes # Copy the burst time into remaining_time[] for i in range(no_of_processes): remaining_time[i] = burst_time[i] complete = 0 increment_time = 0 minm = 999999999 short = 0 check = False # Process until all processes are completed while complete != no_of_processes: for j in range(no_of_processes): if arrival_time[j] <= increment_time: if remaining_time[j] > 0: if remaining_time[j] < minm: minm = remaining_time[j] short = j check = True if not check: increment_time += 1 continue remaining_time[short] -= 1 minm = remaining_time[short] if minm == 0: minm = 999999999 if remaining_time[short] == 0: complete += 1 check = False # Find finish time of current process finish_time = increment_time + 1 # Calculate waiting time finar = finish_time - arrival_time[short] waiting_time[short] = finar - burst_time[short] if waiting_time[short] < 0: waiting_time[short] = 0 # Increment time increment_time += 1 return waiting_time def calculate_turnaroundtime( burst_time: List[int], no_of_processes: int, waiting_time: List[int] ) -> List[int]: """ Calculate the turn around time of each Processes Return: list of turn around times. >>> calculate_turnaroundtime([3,3,5,1], 4, [0,3,5,0]) [3, 6, 10, 1] >>> calculate_turnaroundtime([3,3], 2, [0,3]) [3, 6] >>> calculate_turnaroundtime([8,10,1], 3, [1,0,3]) [9, 10, 4] """ turn_around_time = [0] * no_of_processes for i in range(no_of_processes): turn_around_time[i] = burst_time[i] + waiting_time[i] return turn_around_time def calculate_average_times( waiting_time: List[int], turn_around_time: List[int], no_of_processes: int ) -> None: """ This function calculates the average of the waiting & turnaround times Prints: Average Waiting time & Average Turn Around Time >>> calculate_average_times([0,3,5,0],[3,6,10,1],4) Average waiting time = 2.00000 Average turn around time = 5.0 >>> calculate_average_times([2,3],[3,6],2) Average waiting time = 2.50000 Average turn around time = 4.5 >>> calculate_average_times([10,4,3],[2,7,6],3) Average waiting time = 5.66667 Average turn around time = 5.0 """ total_waiting_time = 0 total_turn_around_time = 0 for i in range(no_of_processes): total_waiting_time = total_waiting_time + waiting_time[i] total_turn_around_time = total_turn_around_time + turn_around_time[i] print("Average waiting time = %.5f" % (total_waiting_time / no_of_processes)) print("Average turn around time =", total_turn_around_time / no_of_processes) if __name__ == "__main__": print("Enter how many process you want to analyze") no_of_processes = int(input()) burst_time = [0] * no_of_processes arrival_time = [0] * no_of_processes processes = list(range(1, no_of_processes + 1)) for i in range(no_of_processes): print("Enter the arrival time and brust time for process:--" + str(i + 1)) arrival_time[i], burst_time[i] = map(int, input().split()) waiting_time = calculate_waitingtime(arrival_time, burst_time, no_of_processes) bt = burst_time n = no_of_processes wt = waiting_time turn_around_time = calculate_turnaroundtime(bt, n, wt) calculate_average_times(waiting_time, turn_around_time, no_of_processes) fcfs = pd.DataFrame( list(zip(processes, burst_time, arrival_time, waiting_time, turn_around_time)), columns=[ "Process", "BurstTime", "ArrivalTime", "WaitingTime", "TurnAroundTime", ], ) # Printing the dataFrame pd.set_option("display.max_rows", fcfs.shape[0] + 1) print(fcfs)
-1
TheAlgorithms/Python
4,278
fix(mypy): Fix annotations for 13 cipher algorithms
Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
dhruvmanila
"2021-03-20T09:09:15Z"
"2021-03-22T06:59:51Z"
99a42f2b5821356718fb7d011ac711a6b4a63a83
14bcb580d55ee90614ad258ea31ef8fe4e4b5c40
fix(mypy): Fix annotations for 13 cipher algorithms. Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
""" Project Euler Problem 57: https://projecteuler.net/problem=57 It is possible to show that the square root of two can be expressed as an infinite continued fraction. sqrt(2) = 1 + 1 / (2 + 1 / (2 + 1 / (2 + ...))) By expanding this for the first four iterations, we get: 1 + 1 / 2 = 3 / 2 = 1.5 1 + 1 / (2 + 1 / 2} = 7 / 5 = 1.4 1 + 1 / (2 + 1 / (2 + 1 / 2)) = 17 / 12 = 1.41666... 1 + 1 / (2 + 1 / (2 + 1 / (2 + 1 / 2))) = 41/ 29 = 1.41379... The next three expansions are 99/70, 239/169, and 577/408, but the eighth expansion, 1393/985, is the first example where the number of digits in the numerator exceeds the number of digits in the denominator. In the first one-thousand expansions, how many fractions contain a numerator with more digits than the denominator? """ def solution(n: int = 1000) -> int: """ returns number of fractions containing a numerator with more digits than the denominator in the first n expansions. >>> solution(14) 2 >>> solution(100) 15 >>> solution(10000) 1508 """ prev_numerator, prev_denominator = 1, 1 result = [] for i in range(1, n + 1): numerator = prev_numerator + 2 * prev_denominator denominator = prev_numerator + prev_denominator if len(str(numerator)) > len(str(denominator)): result.append(i) prev_numerator = numerator prev_denominator = denominator return len(result) if __name__ == "__main__": print(f"{solution() = }")
""" Project Euler Problem 57: https://projecteuler.net/problem=57 It is possible to show that the square root of two can be expressed as an infinite continued fraction. sqrt(2) = 1 + 1 / (2 + 1 / (2 + 1 / (2 + ...))) By expanding this for the first four iterations, we get: 1 + 1 / 2 = 3 / 2 = 1.5 1 + 1 / (2 + 1 / 2} = 7 / 5 = 1.4 1 + 1 / (2 + 1 / (2 + 1 / 2)) = 17 / 12 = 1.41666... 1 + 1 / (2 + 1 / (2 + 1 / (2 + 1 / 2))) = 41/ 29 = 1.41379... The next three expansions are 99/70, 239/169, and 577/408, but the eighth expansion, 1393/985, is the first example where the number of digits in the numerator exceeds the number of digits in the denominator. In the first one-thousand expansions, how many fractions contain a numerator with more digits than the denominator? """ def solution(n: int = 1000) -> int: """ returns number of fractions containing a numerator with more digits than the denominator in the first n expansions. >>> solution(14) 2 >>> solution(100) 15 >>> solution(10000) 1508 """ prev_numerator, prev_denominator = 1, 1 result = [] for i in range(1, n + 1): numerator = prev_numerator + 2 * prev_denominator denominator = prev_numerator + prev_denominator if len(str(numerator)) > len(str(denominator)): result.append(i) prev_numerator = numerator prev_denominator = denominator return len(result) if __name__ == "__main__": print(f"{solution() = }")
-1
TheAlgorithms/Python
4,278
fix(mypy): Fix annotations for 13 cipher algorithms
Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
dhruvmanila
"2021-03-20T09:09:15Z"
"2021-03-22T06:59:51Z"
99a42f2b5821356718fb7d011ac711a6b4a63a83
14bcb580d55ee90614ad258ea31ef8fe4e4b5c40
fix(mypy): Fix annotations for 13 cipher algorithms. Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
PNG  IHDR  ʮsRGBgAMA a pHYsttfxIDATx^דfו _3c46=cfSU%B{pwZkZkIA2H A2sosGXcnUߕgu9b d+dɋ \.p \./O.p \.p \_.Ȃ \.p \. .Ȃ \.p \. .Ȃ \.p \. .Ȃ \.p \. j@/p _2q!L\./'BYGmںeim¦emX~ӹeٝlز [\ڲ? +rm[ОՌZK<ybV?guftߪGjd*8|0JvPl;Vwo[.ӱiYྲt,gqY׭cъ6e7GyfaR6,唦uKi\5~qܫ_;u, Fy~ŷݪ]qh=pcuzySΟܰi~/9gv,,]2[}ߓEujY5vzٮW-KvrѮT,صyZfr*>[^Zvj([7JRɬU:koXD%[%|3QsoUj[7JJ;ǹ8JZ(ٯeR¾}.a[?= oƿ~ӶuᲶimW(.eh]U֯vw|bޮڮw^hI7(Wq#_۩Lw쏏 x9oTߧo;_D=~FP$iM+.+{5F,empv~ǿؗںmJWJGbU?ܚ'ip|&r*|uʒ+8=G~_}G^߾euYF=ضSHO ڮ]^f 3~ۼeZNSl>K8<BYqϬ=lB6[Na.a#o=l6Ǹm nm կYG )W6,Yj# \oYj3xL=G9[7v:vv$լ9W8U.Rh+IUmJZv%OؽIЮVd<\*_:t^#yf1[<kW~{$uEɴҙS\r]yW5tuwdS~ٿ wW]G3v|L9|zT#$]k {ķΓ,l~2E]l\D.+Ѳj]ۖ _ٗ_~iVұf%]V30mG +w<j6zb5CV=xpdCd.pgZ? >lHf-ruYv4:ƾ+~gwL#Ct6r){#cBlﹽ:K|>6<'[<hXqOK_D~!isp;-U[k6}=r {J]B˖Rђ]A Ec\kwKzxX5`͜fdhƮLi1Xv$s@ =u{QϿWX`xΐKl9-v$Dw߆DyOs _ zLZ{QA~^u5֯nGٖ'!I蓛svb}<m7$Ӿ_z@1߆׏ׯ8d~ifMQ'񥃿׃ m&g~篬axr[~pZ׬}'6j{MZzbuvU ooӍoϟK,;o޻eop?r1Fc[߮; U wcJ^9:cnӂo}yɒq) ɭZ޲ľeKi~ {yя}2of}CM1 }ŏIiys.*[uܒws2{ó9:9t\r21 ~>uo S'#e[`ۮSbWkPgwnـt։%eWb_)CS7;vF8G=TMɾ2]ge[]K!vblإװVjFxƿ~}%\JI>gHYѡ2'U΁vBEG/8nT 9W `qfmm mqsԡj&'|wWL8|bcٯ(G8?RWd?3YEpkӊh0(x/&p߶M[Yݶ/~j Vѷe;8;V3g5c(9{uY5D"TIyPN8)""'2\ɑ e? dm>q1 qUv.Z~x6 oZ9WD$<;r +(]B7 o@zNj@]>:GL,'ï9!" Psқý|$(0a(_ȽJu+ǃSVP?h+(E*M [lCzg:, r$p2cD|0S~vlx]玃w9*϶:zH7A#o¹|_TٮR?8 s_Nئeޡ_Ժ@H r4$81!AI lGIyLpHDhf5r/i[e?@r-byxܽKm{^Xeak[zojgl_Xym}ϭmjD`E#V d?_NB^GvEJ"G2NS8]"p0XY=WbpKq$?8 Gܻv^idn58]۲o1^HoT<(ˁԷwqT8ACu_B "D<QSL3SjӽIzתGP@)odfՆAp~紬nڝap|ƶ?hꫜ8o~"b@Ya^r@.?bZ" tee ~u=zNԈwt5^$hyw8NG}v;/IyPj#*þew!7yc-O9'`/-!1n3/`68hUj XxjOڧ7odJ%=;V @ sfC/H$k Yv-aۥ;ێjClXI2H|DȂpjpFHoI鄪'[m{8wuJ }8HKSOk]pzsL_#0Z٫t&(Ul}X.n)6C?Fɴ]E>i.oYYsJɲJUp!׹tΫl; :.sy8_w.!Q߼sJ!& < ,djpI;'TW7˦úە3ٺ ^G%x<ԃ΢T.[в({-@{jfljy~?oO-[Ekx:[Ȟ5Zc}|kXck{۪|tl#*_|5bunl~ut.ۯ"O\GA28}UeW۴n[~HC|v.T0@0nf>}NugIS|k])!țq׻|F:zpc"A)m>3qbkŤP@ DVS# Jn-9.!+fc{P>hKmbΫ\+fNzDɁ0سe`_$-tD=/)W h]d6f ǔ7-a#|7.Z' N(m*' A$& /TG+7jܨfǸVR$„׫_10~nPgDODN"p%ݡſ?}|w_V֭~xǪA6U<l`8" pDDc !$IKdž:w-B&FWFVY1݂6l q(d) 0rDA G]p2@ BB )Tvd(ȿx{H ,P2 DP-RxΟTA`H-^VP-{}V^aphnFd*N_[piz8oL>F 8Y!s#\_PpvJ<Sb[Ur#g!\}@LH6N R@*Ck!z "[ݱu^:@yԩu92JtRΆ!QIJ]NtQA-~%n2`[  EC[zU4 ?-Xmش"t@ F!K/u ɸֶ 8eɽZ۽G`imsȹrtE>wv&g90ܪG6]I D v^ Dp^۱hw) N -zMϺoE ^^&"&ܡo+0쭊IK}ʨIzϮTٍ3 eb߆ ɷ2 E.y.XE^8!Ő.<rCACؗBu|YDG!B=|$4sA7_qF頎\( w"qPcs9X "\u<󜋬=FYb*EZ+?a_}GmYȢgTM'Y]pe )s@Ego@6rEuo?19eZ%()[9KU!ܸgTn؍mtݪ5~fZ:[(B$ʠW^,)8N U_ci!{ArF,S_%85 pY,!e V:kUC~%WyfF+%v qUrɺˁ p 4{9D?3;Oc$Dk?qߵ211" i!"C9+ 6"5P-'"D<$`;L=V{d='C+=C h^Cw~:ߵ6ʆk_!{O{n{בu+ /B_!ʜFv ؓ ,8Qp[?@P;?l_-dJ P{vmH>G.bٚ =8oB~C\'!7k[v f픗 T=MȆ;:G }ݏȈB> <;7e3'ɕz=1lfɂ5,sm.f-/?[f]eOۭ>{PfOV~% 3v`LY3NI;vM@vmS!&  _ޮrڎuNy>^'+q_goCϗoΈ@z#9v?7*DOS):qge B2]T ADR>gD]7K=}E;j&8ȓqV&/`/U#[co _Yu?ضmāڳU{vrhk'unj[`AAZEx'Xv7J;KVmmWJ!7aD .@ OIIIq"vɀ$7QNjArGh3 P:N獳{][<N绁c t>/B ҝN(KvtJL!`U,p p7p,4,ྫ&D[`8g< v"BD" ݇qu "& | u ` ?8pD?8%lppk,h_'H3_=zV'& B <@yBbwSr'ADr=`6;߃p:0FP˵zOj;KN h6BBD=˾Z;ozbM*A YмM/o/_̒ n0l"sV:[Yà=Omlت:ss{g̡3?h߶]G8' Z? SW,iβRDoVoyuN C5ʽfܣMBNpmq@7J9zk'}J9v'ٽ8/&.EI5r/sZu=1Yo#$gWKU#_RKG? :-C6]ϩ);Pq䊺0,pb́\*XGt?D+Fpy;<& Tqp_"{93(V(HQYY,- 7{}sQTc`A+h 8OE(p/{@v?_߇M#0X^X?kӟlVl¡-ҡ]}b%lrUw/! DrujAb{o 6a _?Bk}\O@P?iM{Pku蚖%GGy\ry6T> X߅euSﷆ@([~$N<=Q$Upr '50x~_zjW8ROg{xݢx&ŎwUomj[,^Jg|G8͔ 7A芠e +l群$sȩr6'JA쟇 ^D5!]xݫ<Ca H-zK~cRPb"O)Q]^pqf ֩Kw7"V7 IGq<9=]+ڷ'V pp?ݴE[Z?ZCyf]{>kUu6?*6 ,w [ۅгC|M~@}{AHiQvoEf-@=^?~79:xύ3ھ0{[gG,+b t{|:ȂߨD'9uEA SoAnVcw+w1'18{nڮF&e^ J$QG fOzuCYok]F&Ԟ}c鮽b[mt_A]+Ue% ïknn@Lе5~W8~ [¶#I eR ^% N# *um[ 0y彇w/>!s8Q5J|ALj 1Je{0u>M'&rk0$C tJDz dANW"@ 7<@(5T-[]۵~K' p$6pvP6VJQݻl6Ċp:9XlVE jI ZNơxCp(ؿs$aw8roS>aݬ̺2wgg0`9!]@pܴ= R¨ ANRB3:GܗX +22rO+V)#crՏѾ H'XVmm~`]okDcxYq-/QVvEI q]??vp$XIS__CbPDpGc `^Z3EeA  Nzt-/zh½N&7b+@qxj2b}- ۘL%XAHwU+c.P⠦D=eoslNABu Pq:Vܳ>XkU`_mhzCnp֊TXIÈg{/VL0@5C@P }Mpd] UKQyp旑 ?Niu,el^Ze5 Y;D`!& x=qK[r9XV?cI灂F8iLA^bI}K[YC-yCffϬ#R1Lptk@zmge,KOHցjԚ(Vh@g7qg{σ@ĤM0A(L:_UpJ,~K}ɂDu=F"g̻K^y߹ش"8C nY``ŚU CSV?m;8UYA͠gso[YnIkw&.Q@Y-t*M$r@Ǚ8xθ[MP=jȳշy uۜw30b<ˋoR6a3DQ9o@ ى"'}2y ɳdߡ刄d_Agy%t[oPJXw{|;񣬢+8Wpx/gwٓmeاzKYu^?T/,( 2/Qg7d_r2uɽH p>dc:.qgI{Wѽz-~l )PWT@v2^o"[M[P{vȂc#CzZ^/B`:flf~?_}t ksBqtr lnݿnnIU}A?Av=_] ND"YJܪI˪[LΛs{Ku|w1&?SkYP檐QYJW˱ĝ3himPր:R7'!5UY֩+kѱKhp,;IDAhTI߲5f^_Y䕜._nCkGvQ]Y' uS׍cg: E\ "ے\@n3Ds}d& 1|WH'1yc9\2B|Ui,)ޝ)K>zճGx \i&Μ2@y׽:^I"b=}gG?|eT Zؾmڎ}/7M.oZWPڷM`Ǘ->@Bvf @#u1;%NmDI:)`?&n~K};4ZW@qp^$/[:,@"-8Ae?r4Hc=AIQS7 =)B?L`l~9 7pA?"$LڔnUF) K~B餁m(8<PGG8v1V㴸`ˇ1VJs؁Q)7CBSƃZd%4n8uLT^At@(`ZΒA1"jqpen;&!35C"%>k^=-\C vpbg ckǞ,A̶]"D(<28juRK G5",rD kY-]AU #V;ku{U+ZC׭z`׭sxf/Y_5+¾U+SwI_9ZI뜕!9pb {2:<8xԱB{r}ɩ:e( (%A`vAy(֑){1^]iw+t 9tȇ.AK.2#}g<$0:B48Y`AjeI{w]TC=Q+62%uBmqezv͖JpJÿҝ+5ɂ;8dSDYCXi}"g' ( SϜpy8o"_w=sG=7}'\'Qwx}ƁZ%b &b86Q e˔e\"+تBlr?z`kزU+سkܱ[Tf'Ma'*i&V"ٟmG@$arH^P4x(LIn%3i9~f_O[Vˬ7:`tt¦!!Av=yݖζvɷ; r=ux.=S& -qiߔ׷_[N7)&WàW|`o/}Zg++n[Nzi72ݖhk%3.^9qduVvy܇6<߷Ⱦh9Ƨupd| g2*lcqZֶWPwJ1dnUW˂weM, yy,JdJ|lpg XȞu/}gA}YWg-/޵ ز|lb Nޅ܆6) ] br@˩x]RC i9M" 35NY 2ٰhY"񍚑{ns=Twyδ=d{jǒ%wqA 7c/ftksSu[xu4( :|a kvHr1u[ʱ"kJW{ qK"wcdՒ:Oe7؃N\=(#ĻRVO@ם¸dpT=ODXLzYr]B^5;xGj/UYAu15@O=lc܏Hy 7$Ġ Е1C>n2OjeSG[i[ae҄10ɖH2}ZNDz dk|AP3バ)Я&hݳ}ޱ]CD-X;΂RJ9ǃԌm?23uEYJ?Vd9 aнr` ) *;(GV\%˨tgBDA@ h},D=8ޕ,P6ߠ0AXv)6jD 3il $"DȰ^(P- ߔد}Zq2{ 7H;R`w' 䬲||wX1e6?,H#k:d0r$m~mr/' xFKABvΠG-j)N+% .g;&8l= si99<R;Fh y_0u}k?~K뺆9 㝈H g}d΁CM{qD9J[{78yz%re_W"m+X57Z N-ں/筶oɪ֭xpъ;Vٹd}{ZnV%Ҡ3۶!ْ|IgH6+nYyq+Lus|ЁJ " \X6DaǸ=_$Yrw My8'V; u8!XY\ۮi^]o@/׬ٕj:$'Ou+ۃxPuٕj{dVXRV<c7*bbn,PJyO;'PKV myLgThd4eY?|O>StD"tAoq:&>i21P<}c񮮫%$fF$ctU+=d<gdJ"3=*̯1d 8Ob`ߪf&OoZؑՎ[u/֮/?zkj#Kmz6l:QX}`y={#ѾA(Y|/٧8Qxγy(M$jT@![n"N?ca8cYѸ~=w?"7V& ,صGEӳcYCE$H2d ~ " rOze}۟~M?*Hֻ^;]a`N^4%W=g=d`sQ;HTau -qA#we=p*&~[Cpd>sJn׃\:G%Y `'yWϒYsgR$ ή=/sC AA4; 1IQc"</ٵAd~~`ݴM}k;CX͍]?zwujͰ`zm[a< ?{`2)ҁ?q ږ쳂S(؈]?@b$h9 @$"mmF=R=su]F^,wR p W#(}U ּԶ0 !!fHi =9Oݻ' %]W}yHW1 fZ+(o!־%zY8G@b {ͫر\ľW.mrЏ-ӆVZvn$ލz|x3*4xaLl"-5ʟ_@BLV|qMF5&Zhޛc͡ ' BUqzAzrWP|5]k #$Vݍen`SXC)S'OUq²weBECѲȗp/}Y%S%@]dXJ2Xߙ,i 4k5uڑ}ka<0vd=?~mdiךah1,%P精 ͽ+!ȊG9V;n8 b,hPAja$;"{ uQ8_F 4cMTR'Bg cVe wt#AJJ'ҹ=%Rc_QA z( b}pue 2 6lNDp"`;/cTzrD68@I7!& shwJmCBY>emv%] g)a c0OwS"^.8h{mWݟ; R^7p@J ů \_eQz'8j}b,P M!'@Cۥ"A@'B8u΀?ίgZѳ0{ Ai:S,FfpۚG4OZ܉5 .ƾx_6SUoZ:AêU l8ZIۢ5k2 D(Uϝ4N-aw1w4ry~=ƷAr1Ar9arkf~{DVK CrZJʿ&ϝY'Cd7T JmSp. i<_?Rk)zMz& Ξz *C?o$ BHD:I,+U =a#6rd7KyiA1 M\ !FHC<}{k8p %z ͳOu ;mζSmAN 5dη3q@kpBS}0mt81oo 6prn]0@j, Ne[;+^'  !qޅd?!^d_/GNTb㇞]PNhyfM3'2as['/g_O68j%8J׭v5mO>5ZQׁ$]""1l~Țg x+("KGkRޓngnYe8^\=|ӼOu HPz 8ܸl-+5~_&r%(<Wy@oAaH\S`[B]#@d>5ਣRKZljjy RxOrEr$J(߯#nw;aL3r; >vb] HNx&(',:{P,+h,k_2~}NJ~7rZ.y 𮧽ԱaHڇD=߷QoaEx?/& b-& _'u#G0r`Mz66~s:Vmzyy]×_uBr`*z=qlU}31e" 7,"pCCp0FAh{HN" 5[V'qϒ2Qq 0CvB8Wk4Wvqʒ]r۴=hrH u;o"~V@@[dG}CLĭ"c莬:=GNUv!:Ԯ ٥Zu h= u@:5pK܋3 h\k"d}<@.n.t P"-e4N댃 0~*CȏpyED>< w~Bl/r({Z^} Z,&tv:5uO3!oIUF%:I$yމ!tq]2z"aMsxXY0A='"De?3YP1D?gC;0kc}P,}j/_~nsK0[>%RQϦMqn f)8RbQGD0vqD$B ,@:Yoݷ)Gaf5ڣf 2dPпf#VYaQd 1Pr`#RXAV R{PKe -8K %by_6oA`97XV-0k$X9b:DYP;`3v3Ӆ. H'!ڞ?g<>jUaEpACZAN[lW 8q/E; <p*={96JOE)草8?Nd;btDT$hM8 '@ ý+sÉ T7EHWkڈ,h۳#Gԉu[}ߜm>?ȝ܊Uu\l[¼uZy:#+"xy`:@${1W' {Z qo"S.Pp,+p}";+0g)=GvP-Bh{P5jŝc|O:~e4 J>2n I(ɉw`MjɿB'gWax !?pT[1fJZymU6`+Vr`gZբF:&T(,$u3wCqJN$C~.4ITٿz"r6r84E.R!2f y}[T;Ɍ2${4H~T<*W@)/CY,"D$ɨ/"q_<ڮ ƺL~1bbub O+& ,[xk 4uG4YТmk}}? -XV4e+Vڹfe5s[q#DYͲ܏v~dNY2.Y,+hĠ'*O}ݟweZ<ܳ "k|?k bЪ'L `'D +;Mx7:GP\mOA;.2/ϐ| 6 P"S4H1MA}eKmf޺_2yn 㑓Gvhk3r?A8цJEH} Sv}n"; Tw# 'äW}e>XȔGtO -097or6EBzWr5.;3ܠO\ aH_qoiVWвqo&3 ,1@ZCL:@d~x%C2,huk6t͟X̞w?jFDwlXE!e3v#dw4va:.\@c2zZubwe h_h_0ΙGFiKo%-! пS>aq_t^-+Ai(<A9I*p&M " WB ^~d26VŁ])S<gm]6|`n]+ zg½'>DqT&QP:r{[-0I9F~}5o7 >yghMSv(Eؕi==FvS\l+%Wk5lX%22K~uSz߻P&7ZT ޔz"yF'I="!O{r%U e\)Q tUQƄ2a(]e<8[3M}W2oBf I0!jMٵ&' &cڧ|۳'/O7>ܶUY #9#(0t)L N8G?N_P@-+@)A" Q]Ȃ @PG*op;( J BY U*dxf#%0g@XmT.PQ|h=GAe8^j?vOc!-VBx+S 1!)ecF §8eާ2 4Zè2w(pO ωzZ;BpT>rqW 1Qp:258e`;xHЛ576Q.Tp~{F)pp_J!Xw:p.  O9w&X5AiU,>U0~dm'ֆWtL؋?g/^دwo-V6,!咎E+޴e{'VҾ`Y>Xj&rc8Y:f;仉`>Bb+p6$aqz~/Dj ƥfoO0 EA>C$wx@FYؐ@f<曫uGR" , m8]pjnڋ|f 8Mv?ƖvNާ\/:Y>9Kx~\S gP9]0rlKn8쁲0yY Ğtu ӌ.M7܃ 6u93ĺMݮM%Bϫ{}k\)<.4h [O!:ؖ">^)upX]؇yq"?8ʹGt;:>Z~7sVse_nzw]k+ɂJP1fv7_;}:G 'w F-cJ;Wcj)D}z[=MӚdREgd-%@A|(|%!@ї7 nZ56,{.8% 6wG$) DSD&L7Nf^ELv}ݏZHk|"u%JH%BH$"]eى%"p6Kq$ :a ]=bXܵM]7R?eñȏ \}g]Qzn'ʽd*o?'[)d;@.PǃK#٧ NS*m>EGƳ_/#M[óawx9W2:>[ <KSsJ|4G^d>D.OM $#@=boCFZ#DŽz/K.Γn5E}l6,+i?N=_g?UhI+zew V=aTM6?K#@w )2Db@] zOȩXٕIK!w&۶fddJ&ruY#Ϡe!ܿOi !M(Pn,></@Aud@LD?GJK>XrA7F¨ k2:JO%3P'_`\Gd^c _"egnk|5ťv$>hCwPn]i(9gt ݫRciHF~ʌ]*^U|G)a?ſWRԹda AUrM(c=ɢtkڮtS_:R;&; Y e]b8EF*4sYBW0(h'"w& 4GT,N[>}kbeby};>:C;:¹aذE+[Gҿ@Pzd 2-L˨Y5Ub 4~C$+ )U/J'@6P";Bͬe(p]I.d#NU|MSmWQ ,H9/bLPI<sA6b Ȃh92@!_0rB)(~9 *|]] RFmĚzK+lru3<8y =u OQYE1LƲ`pSލ9x~1Il"piFhQ?S<S)N:oBW*c=К>vMe @ν GO_nvlS)çʔs E'; *\KNjQS p<޻7w|9" S!ܿee[ lyף}k1xh 6r*:'G?-./nXUAuZY) _#/ڋ>AMgY=[> ",kKu<ww{qj8p<طΕܶ14~@D,,q$R~ Tmλ#wJg:12W>u#}c@)q 2o厪DD(*,BvA1bBF6FH)o/c؃&8d`53V"ApDvŸ; \H!#zg:K"'c+h-˦~]F8acy '"PeԧhxH=D<oTp畒:,ޗ|;*Y9L㜏)L^&m3 462MYx@sgElJyg *(T݌ zx׉x8!HqZJC[Kz}`jG2 JF_wwcj:,ڱ\Ntwɞ#tвw-'Ucdt_N5ifׁe"v50ȑށh۳!8Aj55zA)I_MoTm])\A%W6Mvh3@Nuz%@v"D+VНh,]p?v|\*Hwⷷ9)ɂ*m{Yybo}66B,y`=s0Bb9{E|ݓ!_uK.nKcǾK%;#on Ʊ|;RɢR}>w G:)/ݬ _>Sw8wW ڗyu>/MiWz;z{t;54P6(f{sꙥKDrܞ)Ż3dO""L/O$cD2uw8vGD$FwXz] 8m5{bݳGV5e?Wj_|on[Qs7ZQϔ.X~ۚ[qXМeY~ߑel{5Ee<0} , @a0t58j=t!+(v@OA1BёAIdC f]Șgw `JϪv -S ^토"  ˣ|,X譊mZ<ceǟY/pdV-ڛ}Ys)et6"/ AuM-Y3v4n{<gM %6$fC&X ڞJ8!UY$[TcYwGiJMoJFo&xV:۳XgẦfg/t&:@F7YQρW95A[sY\>* 9Э1}  4Z<զ1>KSr ^L,PFL'"_5fA͐f<lVeX#-ݵ={;gS{`` eU=8N<ڴ<E{rtls>uc0@Qe @"d{PyE(PFJ#USPG ^xC<UX>_aX)NLĵ0Pd>ܞb tmWs#vpJH$lZp."b ˰x!hRЊ&oF>ց%KYͼ/YWGT-0-)oDVU* Q|zspC-=ehh=c4DIe^O9F\a>9m"=kiJ]# õ9GB2 x Χ: !5]^vawnZY]Ses-!XU+M" DLPKQp "A ""&_+QIJ_:kc<E&ck=Vٿf#8 qQk[®5Ԭ)kVǛV>eqڦ Fn?߻,g"@3$>" I@B0# P @;}z7w1׫-}9a;V Z=dJ-FPcIt -j1aqAVz"0א{,8OO@!bPPrrZ5{?NbvyTc փtvΆu$1|Y޹ Wz̮4O/>jG߃H>0BN:6$ģ2G}qaq4U\h0e(g^DHN)G( q8sۂ^R΍"g2?mi8v&z"} e]:jg ɾtNOMD׻Rp%'_!AAp8DP`RI&,P@HoP'U/ pϓ}Mq&#k: sOb`ZV_JGuqne+߲!S<ʺ{?vtGN;ǃ"{wɼ=BfǾϖ!ݷ4da+DBT7K}r5rX#PSZQdҮ o]N- 4nVJ[׽xXʷ7YY@|ܮ+=ʨ2z탏n|٥̭q3m +~/}'@B={ ٖ:2@],IJ~a(ncR2sI]+E4/B 4'=MSU")>B׈t ă_52ۂ~ɦ.i W:R"%3pL:\>8g2 V:[ݚr|??V~tNݳH`L2D:Y@UcA4UDHF@ 𴛃H & ⬛dn5 <k#Gֈn>65kٰ>M/~m۲a+kI` g[<1@:Vw3hƐ,Lb5F{ЇO7=&]ݎn{w{[Pԇzer'"scRdh f(g&ȮP 0hߵ CzDck˔Q;IЬ y}RB <! D-~pg|,We5(`e;Ъ~VfSK<qugV~ zL>@3q:BuP%E6T+$*ц(FeE`3e~6T3=F浜[|a;ۖQ@3XhzL1ŵ ~DtDa˸M|  hgX"N^g };׬k緭Xϛxܟ^اUS؊il<VduaNJA}< F TSVCU8I 'm @$,muc~O?Q#@Eעwܡ@j񱍬X& #"<k'+d hDe1 0^?([BNZ;@^Ulk(^$Ni(p]ke9Q-8=F~~8 Eyq z56& % 2r`ϲv~'GL r!'G-!RQ]=99 k띶$ 2j X5ҲUzj)Qp@)Puc8LSt麄 (bT U X9˚m(:6T EBxbUϯOC@^eM[ jA,Ե1^VM;]Od@_u<=~K}47OI0PP 7 TV@)J)BYyA c'q(u\bٯ:' p@Ս8YqǼ ,ڳ~L0a_'? Pa<\Mz:2 :P;T$ SQ,e (c$RM$ u#2X*Qׯ*zrnx\V(]2;>IW;3e1! "8VG#3I]7#A@Qw >*)e& m,ï`^88w <_[ Np?hͮ>A}N OK]L`гKL'eDȩJQ*OHt8aL,g( {\$G.K_I߮cwT[ rTY=lL #,<@Fsc.؞Ǯ3#\'_ǻ̩חԖrP=r/N>Cst lH"nsRQֿoܻs)Ii{?l[ J*Xxزz Yq$+XV`ԍWv' {` ' ~?Ck߳]۳ CبO_ǟj8Y[#uN&?@Ƒ}{]ƺғ=!ei?O³K=gD։,A=Swv\`mP|bPiU]cm{xƝ^' 8۠[zBchLuGH~k<j񗸧@,%/b:n9+oPީ"p$L~<*>6޽㖜]jkJv]lH*YDhvE,S !/ euJ5!#*]$wȵPHYLsxK 5zAD㒗"= tґgs Ȝ-Y&/ G}˗:Qc@i]aU t 6l?uցtCΕo"T$f26<θ cD>~Ȗ+?X>UFuo] ༬ok$xǚ߱>Zi?|_be6ĞsZ/>V=0n%V24cCV{(n9o>ed}kUID^^Q RkCy)BppuyDT2@MpOP ^K86R>z^6`wr^?iUXضJv.P3|k`\ϕoPcj|lM2.؟b." Ed3W3>EzX(YOݴf֨L*۴7ngٝ! 2d!SRڧY޷V_(5dqƞyL}Dpz$3lRshvȴ(',=RtDIoP*ʳ Q3HdY߉X&o%xo%~$Wא9,5>fFk?]"N(E.K٥JOerlu1K ;A8Yzʳը.:k6y Dˏ~@g3AF*oUǰ'Ku[3POqHI4.IZ>fB";]ĖUcFن0/;ἉXߙ,8 #R8 8QSU֟S[<?~`McbT߽b=+ݾu-l=1ͳ9$`k%(;FYjCEIx*򊀒 uJըN4 vIU5tYJY$cu~椁RQ9CV!r.~#@[ F|p8 EU΁JyvA)n MڝK}fOmslfbGvV( Eq@xȈI x^ O' A9AWP]zPA]Ӵ{;V 4Ц5N9c=Fk.[Fp^YgYYJ_Jc,"]J)uW}H Υ^UkwP֍󨎮'!'AQU<K5au=P {Q뻂"D V\!{7PkZLHoȑºm$X5M}T pPǍ􇶶Ƨ/O?Qmg',$H(Dq|Svܦ>N$Nz '"ACtVj;@<KBn O7+pgC@U%I/F/]36c G"} Kih8X?\74^%젷v"DD(`5"~z>>} 2\7MreLPw+9d!vل`]翲lzi˖ַ?_GR=!` Sסx^%ݦ@5Z9 p*7}è$q ($} %8rΫj* TjjiG֧Nk.<g֥v;5CR_K֬}2XR1kfQw+@W:B-rZƕMG@1{FCSPLR(:!y A< eܫ"ZK%0 R>J7NyߏxZ5ÆOՋ KVtظ(x'U[V?o5#-_=IK7OOlu)#?V9; BXQ˔\f>4Mi(9Ƚ ?]F\V&<{X:!*vrz ])nT8i~9k=S.#+"۝ Dds+b%2۵L^l`ػIa][2/RiFv˧3sb_b Ppޒ~\a?4Bu\UÄW< e#fNGd?w!{nMt0u v) u;7;8Lj:HS =u6k34u]g"DDΌX葕jp&S l :2jE*:/G>qɾ*z[ltN:UutՃnYp]Cѱs,>]vsh3yFttB3dխ~6Ő,GugBf5< ޥonWWEݳ 1Y1!Ko'ϬI<pl }gu.滶60<c?ُ>7wppɪF #yK{6͟\tbarԲ>8j V :I-aӐ]%B*i#/ e0"%~Ȩe<h Z1:}^f/~ˬe"WJO}gH ffRf ,m~6 s ^)os.Mm`*]J9 W^ʳ: ,r~ lY4Y1k׋G߮^ul>XpRE*+Hy]]9A&^˔k{-&ꚈalqЉ9r؇"ؾ0'V?LC됷qV߱巭c5#ܡel<4OϿl%kNއm"&U7; ䷼s~ݪl_mm;-kuc*D$<PlzW6O 7ky*_ qq^q~6Twl}&gd6rT;Fgp;uS2(@WtCPBEYrI52 Y;Cw~ ucVSu8,/ʦ4=c'g e *[ҋ=pyn9I0JN0D pEu U8t]4^pxpPA,鷒6_ qhK7>A爑=\OEpX}@Em1"+8*-+P*e2^Fp8vOsT;ºhe8\*tomXyIXSc-MZLF)aA@ |QZkŊ?>€MO9R- Eԛx9LdA%uPMNf5}ds6tbSlf<c>f{#8>0>ơY2lSC0*Sk/bʢQ1yh=3G7wd=a!sΥ C1"3h1Q 8!BD~rPZ"UDET ]-H\h7""]E$QIJ_U7286oU89 ~ic61h7?OoR(6͈R>3(\ͳ6~b/>㖇֢!NS/!08u{7kyᚠmz@]Dy`!cp~)˨:E8^2[j6ۅ Ǖ-UvAӵjFxmC9Uk(! b" A]nF *."q%%$% >PG ?7؇SkxY׎õ4ZGMo Q!;H]388y8 ߥxd'jū<DN.!oS H]~ako;6u#G:oJss+}BGeשh-kǶ{zshË'6t ȺZ#E~  c LZ0 ):ed]W6}iRwuR YP=9V?iPB*xK}1Γ}c.J$@'߰y}=w[Y:uަ֐[J8R}쾲@%P`$j`R## ?d!"I.u{~Ͼg8huFˡ!6MJ q]{LBp}m AʏEĠ.iv_Iq*[A(Oaf#MdGW|ؾhӿa>]]qՊleMǝydZu'Q 4hؕdꯦxz,y"";/ G S5PUc7[] Zf7?Glĩo{vkuϞX;kC?h*|ʖǭAk65k@tA+rЃ;ŧ6@ǧ }AuyjO 4ܠox* dJʱ"KёKvf>mJe+P0յoLa&u;\g tLx /IIηg=r[ף1 =W9kGFvmdbVby<y;cٻe4NvO,`.u_2VRxD Ql#]cK0_KPkK%aw0%W`퍬~oy{YضrPχK)FŖg58Eev2vj%`R6 DW (FyQr'VQl'u ~ `k=?ޏ?lK}lygҲe-yWT:|أFM 9:ߤƯ!Nth@=Am`!:A]W r Dz d<ZFaO]zy۳]X>ɝmjYj+'5G ?,.̯si{ցn"oB4IM#kAEDRw [;" {zg79m`qzv9G@ \>+xCk=BG<A<QniOY: BXRlz߮ƬIV>] m(xaVG6[meq')N(@ɂ~)>ԔYץp"*yOߵ^Ȃ?7O~<ԢAeXgoc#uCHE=2 RpȔnRY}u0؆ b:P@%-cL=p͢{=Z#Uكql|'.P9֡h9Q O)CZDDV?P Dj!P|:Nsi.d}U[X kNPL +r  |R|)+kʆ^j7\PiZ>TFP;|4e+@nf{.PdOV:A{O^B 2Z18rW>%pxjO0'wM+Wȍ{7~}EU8B}}<v_d3{8c|r/bA2Dz(@-CY e%(K5H'xШ̻S+лQ2!'h%ZV2F0șӲʰ/QIJ_ٻ3!TokǞd[ O}5?)Kݵ%+>?O6 keo=sXZێ=^' 9=" |ɺcqc8Q' ]^ܑ_w*1UQw59}V4lc>kΣ@\74>͂v ѽ<_}xC?%# @<ޙ8 4R#тUk/~k-̓VQb%U;qp K/Ez > "Y<&>mf#9؂\<@:V9eT`N=u;BIߋ$`Y|n/<`|gB zܱ>ŗ=uuؚ'M=rK7 z'~ z8gS=_zL]ݨnϩEm Z]D#.P&uדQ >ҡgV>ŠX^ShpGBױ= rː]:|EoQPųU,T⼩cבּkئ4YcߔeDdA]"NԼLymK6td'?ԌYnwOk=XuH}߱'EdA'D2${*$s܆QgoYeT#{ yI} x|ɯȮ#ո1ó &9H< Y|+CJDxvҘԝwYBD ૟=cQdV+j97S9=Go\L} u1)=`Np/+Vг,;AUASYN^C.2OdA7A^x?wz޵gSC>Q:= DX<CC}񵭅m-6Jv|')O9yՇ"!``/qa eؿ k_OqR*)e{3)0FPW$ 䚋=/&`zbQV.hTݾP7tu?#WIse? i߱Stu 苯uЦ76gYYK l[N؜UwkDWԉqNbZB xY-5Elf2AS =@/GO[ )-#I;vW4^|ۥ!nYv(?VQQ7 '88_B WKWX_Uܫ2v);"pk,PUaeZ^V%Azhw=%!׉_n5,e|%oWR3_a-mVYUcUl߻l OI]L#0MVPT|Mԯ!S즵s|,#؅MP&@KYAf`[zt@Ȗu sGM޷o#Olb{Ъ8=o 6%sO@-S|nio#V?nXqm'Aùf#+ ao)YJg5K.E']#Y̳"O;Vԩ=u5nx]Q#|=+~fCǦA-(@Dt |{"  j*$X߽ZZhϪA)Jrbm :?O>% "T1{P8r&2ey =C3_۶yuM>!q2 pP~>VRdN%4QVBp0!5O 㜥b e쯰ϝs|[Ȃe#!:Wt>'X҃h=ަTe9eLPFNT_m! 9Uz7"VbhzJ<BiA,+pWe+lMh.G9(} jRw/eq!"(@p=o+Ld1Z]ԝE:V'砎zVTp_#s+V;c[>axbC,O1 {/ï` vJ[-sL'; D,:O,@b@^PݿPF13kMU{|L))ظg]H)sA'qqb%@A' T/DQ U M!;Ų5]~=l]#?I8,BYy Eٷw>Վ 0x|@R,<m{J@B)S$)YjHb6iS9ѫ;}?`ՍV5)gWS> yiyw'I;3w?dqNBɼ.0̇)c%9?u)GC_p:cJsV7Ofm1he5U`7ng`QUHԲRj%WP6u PjZ9 @? G<cmȿ2y<xǁ@ "޶ 8' 2:v9ִO\A9u#bm" f˾:9Wv94sN 9yf[ J0lE8;E8(ݦf;jlQ$UТm{,^ʱV dOoϱ==asc/Y; YD}WrijV [2VB,,+e}Ndj q*G[M߲ﭰŖ6v,g?)@f]K+ǒ{m[BO{?Տ[2 m4!'@r"pO~nl,{'kdJU [zq -<"BO{(@NDl" 'B_]!nCmV`uR^JzZec}Jy7n}ϲrU hΫskGWT+N>\A7֫q96 k0t ]vJw`˪jGAp{Vhg{خuط~dٟX~n/mtY$N0dA@4H;NcY$".P/9yc~|L(M&"=yڦ_rϽ/uy/ХjoгZ͜~;:r,Ԡ}u1S:w,sGSvV|_MPݽ) UVNG-'%\q9:5茽^~vtw2ϴb?N._'2_ݷ 4cbf_ڃA{<qtcz6 V IHQKvDx+5N{[Ȁm{иxe"ۻvJ[f[xr֮Oڕe{z׮bG-t4Us0] GÕ1w# q-רC/i\ zMXS;[r=6=K_o0U&>w{-;w;dlCȔ=l}KVm 5j=fA A:g ݩAY0"_h*/d iר'Su)Ƕ7+3 iaj-#ԽUk&sB@kO(_7t@Ln+'tM?Wxzfv9wY'm '֍^Zgݷ)|9C?F2݈>Fz_Lv#`>fhvv0߬W8)KԵb3.I%z,}uEh],H8e(Ɏy(@Ըj]PBXkj6^X}d|bJ%*5:r/C* 7j/~*d" Dߒ&iJTWꮠ10(?Y](5rzìowv__>fe^d9R{F{lI)#mK\@9x@ 9 $>4+Ӏq5BJ] !`Wz+qa}Қ[{lz|2s~s<Bc])vmu|- ,Pրse  f;8W_- "mW}>AؕQef bB] ܤ邀}2t.}~TB`x ExO/B1 xɖ8tP"_ | èTK,{nqJu A!(Us&SGiklVjƞYN[ЊWQRg{G~}#֩7X #BS~m><'>"4i;߀2< w@ wc`q4)_d]λ;چOmBVOӶ87p,fm]B_q|r2O-}861/|oiux{>Sjin u2LOq |YލHV L89_s1V ]`~w68bͽVB@t3G=! E'PNu_"K*z;\=B~ 2kj :.gZ1BB f]{X ?Eqp;故 ' UA]GA@3k$X4duKYL`amV;vd7N=& ϣ8c'V6|bǖC.9_u( Yõj8ocˎ 5#C2 \] e@] 5{ @C,)@$L<ٗNVt{2ƟsEOٓ~i {l_0|_[] Y2@%,@4lڇ_|E9M)`4 bGMP |Ėm"@ϓ}qud?m|J5Gͬi:d?dj,nHɽ^<3u/˦~WA^M@նj :[%AJ鿏T8?, #nwC"w2"e_,Ji/9D, Y=J#sl v)2|deg? ! j/վhilGF$z{GZ$@Ri|w˾;O߆w"^{և9A~3:Eo&4Ⱥ0Α|=Y}_+1}lJɗ4qeF'g<3;!:N Be"#[͵dG%OUE)9#xavI]HA5ɹty}m'Pz$,Oy_ǻ{䌽guO{uGڱiU-6cB?[M️t݋ػbk% uqwf G, 3" 45Y1iVҘ,p€`^j;) }̖@&(B؍yMC+K+v2o+KG{(n@nE VavFAĬѾ3An xVDe!Я2%M#iiש#㞑Ľ Tj|TB@ >cy/z6u+q"z)o[j e ;0b-M]f{9>^lR~,A{W]%;AF,z% R#XT?. n ;\mŧ'ȭ|dn^v2@37PA>]2 =el۳[ᱻȝЄΪ@Yg_-~A5vԀniƯfOq=mW_P\kB[ \=ZF˱#@MIY"a3x9Չ6owZ"3MQq#b vOA@"ĥ6h{uDz d ; 8;ZWC6 i;;" ~OGQ-ZUQۺuh -à%ENB@8KŖHdg }ֶ;PPr s"6.8*Gx#!wpD7XQ`z S`#۴3,<HHKʆ,+&R bԒgAہ py ػsvxo3km696biӎ,Z-1q(k:qp.,? kYAg /8+s &4± ) 2}"ޭ%DMYQ:Ϧq¸T:b_ AD (@ Z(3"DJ;ֹ)^D*]:0MDNM0Wx ^! @&"Ȁ-D$tWS"@,u8KUY)V3H2LVld}[eh.l:Y*z4򑥫!U(n9bWG_b{\?#̭Iˡd m} Ba*FAֽE6Ӻ%'.kg0(f]:b }]7pp9q3_ %D$:;g|GO[:$hK9pO|[wQ-/FX RK~2<y`E PǨoFmꞜ||ؒ+및>F&p[?+ַ}u_;Az -?2] ̱?}<ͣ>4pUa ?ݧCYg'>ƬLv=m\׻, +Ϯ̙JeπRlX)2.݉WzUk@-Y1u i#@?բZй9EUQY꿝܀*&xa͘cеzDt1"dM|L)'5P@_U#ʄx>2JlqEny Wd_gCL,XwCd<Ixg5 U@Bے dkq?}'€w3]p »Eƀ N]mܳ;ej],d_Mb|z`F.`F߂owҲ.޴ݿFzuu269G+%J[h'`q>5x5Ҿf()5 G9ii=>G?e>[77l`#~Bh#d9qcfA$Rqe'@|w>l C"lQ~l%: "" D0NX7s ] rahɂzS0H*dD+x7F=WV(PRWoD{F]U߲c9MۖE]z)k@q~A:E 7Ҡe $>*vOƊ"خɺHA{1e#GA%teG򿕹nB)<y_=_mn5}|ᷭjQʪogK/>Ԓ:[b_akgl<ϕ߹}W>*~}o3֍]xe9 @U&vGr<-^eމ&rOqwҎm%7-#3"{; j eʆ2FֈOC>}Ud8Fhu]KYQʆRAZۮw}зxJ%H^Ӵkԗt΃2ZnY)Q+>@.DN*+]f˹-i@c4+Oz?66<֎[{ϯ7lzSŎ'oL6=:lB r-Av-v~DhjmjtoVvlЂ6}ը1oC/lx .xO ˇA3"9 "!>s)@$a#,cyQ8th<P߿oU*K`m{7,"D!b>Xςeu#C[+^.i m.U>x,YYV!Y T}bv9DIK׀#y&h}ɭO9b.)"AH澲DEHDz dZʇB>_.@sȫG8?{l?:GG {^߿dZN%Rȁp"tEHIScPf`=x gǬ[7d@A՘TZ1I!"nŋ!CʐPC 3 [hvrC/_Zr["(w1 AAً*Lb1\m{g6wZl|xpfNiJ -s8 }ݙ]Sm p3tw4PwNJc|Mh]'pb@"`d)F4`LB2=r_jQG!<!*JRdȹMHwu*+#Vн}M "|x]4DyP,+Wu.KhTzK#6+.'kݛ ;")Խ8SȱL,8;mg6{0̬:Y'[A˘=ƐS?0kS+(w>==8  =g!/%ʿteRa pP45%zw^Y^;0i!OK =0 1Q+QhsYvYdVDgUJ5*féwc,SW, 쏑orqn N::yoGE*'B]]'65Kp:hd_g0 [֌7kT`6`E4+Wd{26t0j@qG=XcL,?C$EA΂Omdm} O/ e(@qЂj"HYPGzMG%P֛,Gj6Mg!j[&JÆEK4 bG8cY.o ^ qI00hCAٜ_Om¡|\ R^q^Ø6вѾXnh?$Rq1x!l~ ߻JdAk dH梎e[~yI=O~fEȾNW@N ڌk%{/pY"q=9m)a'wN2.y~%HƉw'oih~~9Ivr̪{,n #N^J3d%q/bt] j)Gw}~*}|_:&@T]w<츂`?bP+S-Z fg^%@PAeK֥ D=5`U ?%0<{69n VcoOviVWq邱Cٯ?n=JPWg;T2~h#GޅprM=1<"ٗCǗ_Rg6_@|m8AȂYY 98<0& yJWe",#du!^fgQpn+ 9F՝g.kj5#;u4_{:$MDÆ@8Vw+e==d?s'w5V(d`B۸.'XK7Dn\wm=˨nV9<kZ:uf%Hu|e{"Ï&H1*!2&/ba}uJ}o\OYһ߬ MWyAD:>+iQKF.#ՂȦM$ٶTR{&Ϟ,gdyhχ؁}hv_{Ox.bP^AO羗Hj_(Ǝ ae![Er- +#F +9rle_&ZD"/Y1 E=YA?88) A02] =C`z}=_e'66†){ ιC||빍nh@Ce(@{enukV8VVA3ݠLM䰘oY{mSCv:.~VwSXNmؚIdߵ%,v?@쫺dPײ|FݱH췌϶Mn線$vsvK˷ﷸƝ(ĻPUMĀ$:?,REDhB-+}Rۇo[' Jsl_vR1-nDd^6k'{֍*%,$m(7' An E ' <h8Wʮ[Q۴Kފ8 5(}  vq J9y@.6 lY|@9(#C]u('C -"umO8&6LP (TۿjMC>ξ kvOd0ed[ Ah$ mW`B5ZO~eā`UN`Y(IqڦRAR{q<z"$V ǥU1w'QAExj-3,' /" :ATƆ!cC՚/AN BAA3DO@^RIX;@], 5- ,uI 4pNWLz J1jMT=>Gi6>+&:pG?Q+;By%l5(clm)~׮QNy3>hJR}U:{vLPn "%%)s8qX 'E{f5V]ion߱ebd18Yru?hz#+<pdEVGY4]ޡF/9:YJ11=FuWwde=K+E~[jI|}={CжL[kgؿ6#uNnZgpZ 4ˈ=NdQ8 . 69C 4#G%Sk lf9Y18~~ /0,=~.i;>F0 W eQNF<HBE:uTYC$n0ug^->4-8zՠnJmE(LuѶGrɉMIM=N$d^Եl&JcK8iHS|rX~Ч;[m)io]|(,FoBTԱ=ᨋM>m=w|S} Y4RĨUUUHDXb=kZb n@F׏eJCKT z8kx枂C+Ac+= ?:tO v?ao C>2™u}`@>Dg[gI+J:4vFI}·606cg333owҁGw^ʶ*S}RC%.+G~{s`5HL$##ɿ## <ϹEtsv1'[Ugĩȵ(|>X_9}RJB"k%F/vRkQ=Mn.#"N&h8Qo6,y۲Y=~"@gd,ֳ 25T #/ɾgf ![IaiKu? C|ЊMDkt@BfrWEZFe<{MNyN5!؞-[enUaw}3t<zLسV V`u?"ܵ>Q)*A8(A^; Ӕ?CsJX?hLw%~6rl췒iK!Ħ+;2{cOֿmz?@=ogU#@?蓢^].{򋎩oh{8&xK~%|;A:[^*I\]RjFh'Vk8~?u'^uh>M!?tm/.-ۿϽ%d}Md-<>}e?Cf56H}l?A&۶ط>6Mn OlHXŧ_ܱ-_ jOOвT(qXٍjΕYЂ k⛊$(CNJR WDEQCȂtY*u6[J]NLiq à9r e/HnOg ԭfSgZaNPhHfcgSOwۖ\Nj_L 0ܸ`iu/4D(08e?3YPKvtS" Zjw^X=caך׿| R!W:\퓖)Knu[? A=IG$~#@(OA(VǣAg"PbèС@b{=O6V.X%*@Tty(N+\|H/_;B 38= e'0wue"pk(u$ԧz$@Ur}yXaf$U/R@ wAci"W ~m+4auc21l](A}73 qB`<& ( H`[2̋P^ p,` ęc8:hY4g>~A&'t~"g1tK.. cs(UX]ԍ@@>ji c,B`Ѕ,y4I9q~ O*cB@^Nȇ~v!55ܓc1Ν|jCe_iȪSa4#S}Ͷ?`Y6d?A]y"0)A)wXX;0Gt]/w-b "a9qBy=9h?Y}r0Ka]Y8ڟ2Pͭ}V1ky2 /B\hh]G1uo*x+?/]Z`I1DTAU zو CP*]늃S/\z.ٯ6lxgM! ߝ Bc_'5XMo8l#Wk-x1zE܁'> ^yS g?Om`g0oɼȃC]<q_&P\-Xd,Ԁc܇3% j4 Z@ZI @Jn I6uX2 Iֲ L왜d - '#cCi8Sow, AIq Jl:E>64kuDP)>AOAն.z' jZ9 #t#\޷b{|a-VXn+[NksjR v9p̳:V-bv_V޳"$ wtkeg(G>3{Ⱦ;z@>g: e3ԅDcKO{F7a>snJ}!N_6^Ez" yi-áaP1*A@B Y1ú :)AY:AYQ^3C wGK{>Yk.[[_o C!ǎ*/t>Aϼ_|eJUpyv.e|L"B 8FdtǰwO@ w@B HL 4M|A>V r"OT#(P>J^,!5lm ymƶ6Q֩YX#PV*"RL(Q;D$PVQZ),GNKqe3eQ*{HcA:Av?: )tWQ8kY )4o鯩QlOhϼM>+uq,[c/>v("0S9 h@>AJv, û;p2gd1Ƿ}i놭J:'-fRr!5#=w-BKǞZsl8sՎw85 >{Xn M69yma‰E0hxƾ'Vi}MzgvѦ^X A<$@H_r27-GXPW dްm73zncOmt":~}[ ;/}1~){5Y3!@ z?4!j6콦3T7e4j ds Ѳ XZ"w*Ea_z:OVw65POтcgb/',);7vWiK:!]  GP6dĝ9mYΖ>^Xq,e?3YP3Sb@Y][l(0¸sbwvq27BfڦîEXߴ'/٦gDC6w DբT~o>O7P0"үeyQt</Q٪1Zr>ZշXE X]_} gHa9vǍA" g"x+J,"p@]N,~"H[DP11D`Ls k-v!4[.YggM ۍ)(&[LpmB\D d{= 3 p-q>OjXVS$A!'1IqpJn>x"24* 1E&"\e+~9:6PNB |89r!#p~m''V-q }kSb@ CwCWvk1*DxAO[|ȧgD=˾fA(uRd_oV7e?{+n[G FB 1ur_혭`|sK* /r/&0 ֕JÁ<Z )x}w+# shYg1J[o'Rsi,<Σ]] :[# $frN$b!Fqp "ǎOq@!2BXDWԎkp:-VtDD:KY1iԃ~n27Oc{bXw'kjuy?mX" qH(I&˷B6`ٳ"bA2Fdtp߱\;Q02-}sG\԰J3GJ;&~6~uH[G˒7Me/IMO]3wb(9Ƒ=Ŷ!>FJA ObvvQC$;*ܛĠ ;2O<ٗ+DVKq~94²5Nl~e58ݶg'whElþP5~NCuׂ巂.d{_~"l@ȿ_>"-vȥ>gWF3A?ٞMC&D+AF3˪QE|C," 1f zuc@>@"J?}cl52=;Qܟ|C~d:#(`[ Z2/hN`YP;~ذYgmtv1" _7YM#r j] 䝖=HnqC0DW("!{#5>DF Hv<%3E '}zT+u^^ Ȉ ن7u)%|wi)-+%Y_-q.7'D4No]=zC˶T6B3J ?z9C6l ז/^H`[Lcr\twC4 _3P83MٗtV?wĊ^v"wV9fݶ~ҾG?Blg-u8a%܆ qfF,[_G<;B<d !'w`#*_EfQwa5p\K7е>+g>k'G,~x:A f[IX3u R'^Z Z/Iwiew~o<C'42hoQ0ZeZkml*[:}nS]SiG;g3+XȪ-.u].AH"z涐}-o8a@ -8v@sRfA";I0 B׃6 =j/?˵ETnۥG 3hcM76Kt_J8&/>}Ex]@Tj5&Rj {YF> IGH5)"*׎>ꡧ'c<LV jEb~dk?uj(BȮk4!k3unk_Dz dZ%GhR=@?h6?}GIe]K6ct@ŠxA-u߉;o~yI"ѓ'Krd(" {SޜS۪:-m{`A"|w:jJkZy2#3cرsnHF 7B~Dmy T1^xhS; a mΝ0P?#bU{4!c0V IOrS"Dϧ$:.NUC#:ԯvwg+vA#q:zg{3@N<YwH8O@!9OC<.ΎGOUmxx܊(g`f"D8+08 v]q"bD9Ku2&4a'%BŒ a[Sl|(4q#8NGQ& <,йzP:6$qھ01V;9x Pӹ~$q)> +2|h1d놿bx!9Do8Y5#tr󜷛Cy/0fV`1ɻvwd\_Ћ&(ݽyڻIr-o~~pb cap(F-c U{yNFL?ط]a0(Y| ~xTrBKJL(&w&}hޝ (.eFRȸܵ3"c 8_hPP̞ 2"d0ϵ%V֕_q{睏m:a#Eܱw; z<A+J94>ݠNc%%/ Vq0o$y]h4D(y4)JfTwZ` 4s𬚷|N% Ƕ4ӊ]<2CWKx1~coӘ@?M >嘐B97P(RG.4|(2_}ptewxpȸBp2< MU ?X˜s[?gwmNڣ+V'g ڿӛRf)׽mZU߶bݦ.Kh zU pLHJo !yý߃)R8ߞ马uW/H@thFHn:12xz<棼?B38xO@N(etD'G~DOgJ6wt҇0dvuCCM{tbImkg5] @NEx#"GJF<?/FW- fUVAD=H`rM9 0h CaC0 A9 "BP3 Z !8 (a;C]tݙAgzǺTo w ,}@|CIˢCMFd( tQԵ k9)=G_ ߀c_}vk910 AQ>*:H4qύu@z!EO?N| :m>>*4P.x߳= ̨ﺣp}< 1mWx3a|)̯_V]qC\'79 xC,g x!n4MK'} ]rwf2yyo _\tmA4\iTJlE1 ڏ|#Buڦ1dc~=hN4'LGX2_k:BnMmpt~qπx6\ ֊Ϳ%01W|!!p$m P) 5Akpz^@5v`ڑ%mfNP:" r^R Iv[*D+p(L/x C}vbJHnxAo/j2G?I[l;NC-cBC@d- .'."2k6В7\roA'3:M>^XSXow/ZZ;_6P.&JĔmFoDs`lQHFN>Yy3#1A) `{f}Rˈl|`~r>>a =1-1%e]ᚮC3^p|D31QJy'o=M%b?ލ~-9 I Ye+*$B VDLx  w(ୖ'O)*1 rA7 y=IK uj[[ȯZDՆFNڿr!~:c;˓/=CtÞRF~T8PԁCJw ":)'G\2DµipmϧZpG!lCDB8-i~\Β35~(m3ZI"8n!KS&yRCG̀ uZB !n9s^DZvBpa"+[u޾̪2o ⚇"<ieٍ>V7:2fYڷkWv &vkJ c@Hc$Ak%0`4htE4u<`(+(t0a/]{ &[X \pu/ pftz +Y $Ob{mxFȥGCύUh2kB¢(;  r(X@LzΑ."g}W˧aXm`|vv[nВB}QΥׅ)4z/3-uG {;AAE\fs5b'`nzq2Q82)#I9!}]u MGN\Yl*E%hAhd@ >>'zH608xE*mϾ7k4'^jiF ׇ{2(z|9pH~ɫnM?(hYpZ;Om࠯5_5w h_whCsףmQv[cPh_ƒP mGT0b X9e0[΂AaçH^^mOZd~ΠՖkYI׿]W;Q)ԢPBN N_ޝQH|@=أE 9]bWflv&gоtMiBl'i yrNі[ZbRT3Fi[}88u"m(v0hC)P]ry{^eJWg$e`s}_?0=24~Q(6; 8,C%V;Hk:>< Di m9TmEh+(h_'1c=иޏyd:]ÿ Gpx@~-^r8Ewȩ؍ѝ9Bt́P]&tApUu9#<*GC_4 X\o"O_,h9N}y~۪Oj1,owZ~aiek( aiOT7nv[]v/eY;߅v^?_7ryV<:tþ :{^r" $5[61ȂKweUb{+*<GĿ.<[ ~@dFH [їT`bjՂެ<05UmԞXH^=߳djR646aO{j[?SF;B`̆ T`k:19 JWBbN##_P^71N\ogAXJ1,Ĉ%uM/֧],{n]#~ o}e#v#x)|<G|j2BO |'_w%0҉i@!tqhkx)]C1F5B }!;y,< hdя1ъA镓v4~#",蟮a*6[ғ4hƛ_za% Anם S5^@n`fxxy ZDѾ+7놸 ʠ|{BBvi4pMs1WJ]FU>:AW#2¥țJ[}zO0faN|F}[enPbuW4ا9P?O_[* : 4@@}Cy͠L)JvpEy) "*úVlck&6Vɬ_/֏h':)Ok`}oBBq-q_W$9<b}pFOd`(@P >Q0 d<;8vݨVEfFJ(E5 G2j%mĘ)  yE%) w 8X+4G\ۇppo.ǨF>i00>ЋמB*[n뙥aikM?2 ϷߞrCm`0NZ{{hҾ}-4gZ78{@2Qmk?ܨ|7*J!=ˀ2ugc[j&͖)K 1^^gS1̧dTu(< m).=B"1WJ E"M+ڨ]428],aאǖtlp"e{'Wߵ{:2-w-ykh8vڮbАHD!Ap ya\/H#1>*@'c!$8\qg҉knڡ)U!9ZX9,3z=и^w(6y?̢@`Dt%rXhw)M(M)ǚVckOG;g<@m|6VVA#99jsw9R:~__ږEYZneQoiG?S[?x'ewzh?о/Q3vO}{0Z5eV( uWF06cVh7EWE anNٓRjyܳ+3I}ȵ?h-#Dq;t-5`ٔlSPBFAYp1C{H'9_ rj)6VMA_>蚴ȦR5x^kmcw6"GyQ:@G_E+(ad1U9v$G60Rua0?Hgt'QS!r_O9 EVc{:ڧR.BKNOt g'>-D#IE%ZR{ ѨF,;0ڧ?NAN>3`n>/G@xfאXB{g׬3sefൣxXpJiMY6 æ`V3H}d=S.}%ZSξp˼yx"mQh7P 'AS tmt}v5t+2/z29ЛGFS>7Xb֝W'*1yNO.sA h6Urv98¹Yg/}jP@1* $CYtЛ\{]샏l`$kC ;xVZ=942"ZF<$:rQ!0 j{'h^!ʜ[l[ K0 r%1ǎQRo0`v-qU@ذjXua{)1 U丒 [h m4>%z_Cv?xC/uAhw~9Y<6>w?>TGh$z2ߣu'鷚&9k{ѯ{֢"=iewr߷{ӶxcЌRr˞YC]=zBIFoD^ M,ZxZ4dbF- l}.֬U# U/'!q`ZkwdKEٓ/>2 i%FRoJ6/QRNQ!htB9nvf2ܩP%O5u]#dN@D^èQ~0*(%!LLP&t>m^ s0t8VIy(fX1+RZoG 8:.YʳG.DBgP1&dxhòl\ە'##2=DA x @J]ǧ ܀E@GJW (׭;RFiJ S 1r(uQN sNd9j^5õ?pcr0$\OsO } k710:xW| mj9dNx{7iuvZh_l<kK%5c([),=5bYw^kIgAYEkdN4F6FB3r4(P} ½̳-L;ݛ@ܯNZ:]mο7 @K!(zx!^gJШt=Z}-xS-??0! Ejt"oQ&vN #ug{$m{G/: UiFbDj^iu;?c:/P0#+h 8ހN >%u\ut^wD:T^}h^#xp>cbje\kiyi8ʖdr6<D<ҒlH-/+'`; Ip4(F5"; 0:eG>`@h|"Jf;kKP*wM/aFF=w)J?DKu=*SCyCL3voKW =l5w&P Eʞ#gFFlG { Ø=_~7x*08uPֳs=<s~yi]e#N!4 y}kЮ'-)Z<s q]O ~E .ZsC #U}ݩ'4:mGX(+|Po QS9Zvǂ2лO[؂it9kQ?mj叇!>{]L{25X  B=^VN.P)Y&~Ex$2}Nz 7At_v~A?up2M5$^mp:ҟ=҇ گcrGB |h m7WZef[&1.&UʰWN:O/yH<TBЧ"u< 0,H)1 EupgފQAmwct>⼕RDzޭ_CB_/}Y :V fCy釼Lw<]_C]6ľZ*c[f×z*1|ulaޚ:{?_7>M@tFmkc l(kа gu5\~mJ5]۵9dijWo&7 hO dqpz!\WmN펥o( V~X;Cu 5"(Rw9u \E&\/ zGO%?wєȻAvN޳l kk_Y=}x8}>MOS.h\-1*\ҫEeB-AEOq@=H z]ѳpk!B%^%~+bw m/aJ{sY|uϺ-6o yy6QU֝XX7}wANI院= 4"; x&u<<86N$I.@?#v-h>xH1I}dkMd>{᩽x"iߟ+hC%C ,i؊͞gދC+- F8?{:2a0YyWOmzi<Bף>R D[BP~cj@=Jyqa2BgzGe)汩Jx`,_]GԺz9dh(PO#_XPZR^dE}[qGG}[WfwƠmt<6.HqieC4:^}v7g6CUkX9O].m EHmjZ|~JG]G/h[u]tTQґ`ȇ㚛gHpM3R5.{Z %V6R4 @sICsM~J۪{pY G㳇(w%9\ yPL5@0`'Ljb<iO8Ga{83s+KAإ>뛜ockB(-FԾWCĥi:ӥ}ЦjvelAfryh\[=W>1iDW]FfC(AՁbxbLuX:]D,8=5M,ҧ|;J.m!ڕ͋Ρa?0Ϛ#CUڈ懨wG뼛+ހtKJ _%tծu YVG#0e/>Z'ҏсsUJlʥ6fr6m#ZdnR+9ⲄCyIѳCfAa9yEڦyO_a%Q HΑwZ Ԫ$y}{(G )zQB犽 AcM1:)c]t `~&> WtJ@/T2Ac8 mL>cs֕\ \y7JE/P<=}=ZDVvd ە60wyߧh7.:?3MK^+Чk Zm9 HPN޹v~970Q|Č4e}"l#pg #<Bx4b̤s5({?;4K Є޻{c[o}yЈFA#MâAg5^+eS"8N|ZF .}d+A'*b|-ᓷ]]yיW/eW0@G(W2nJJ~t#m֎F#-^ʧPFN} ا @sx>m>ms E{Йs!iw)=SzN zϝ~2v+$gA }'1@TT`D\}3iEc/e <)R|䘢 yqr@#ÚncMSΗ d$"ڗ1z9oZ^α7 {l|&c/aB9{^vmpG{w=[v~}hC{`W924m?詽!.C1<WM{n!G޻1.$;-MwzRY!d>.<Z$WVWq/Zw-x 1A:s\>+<eetȀ DVE;ywߓkqL;<m}@\/@_wJnjP4t;fI;zOhk%c2$tpY>|wzH|?-%Og$I:r> Py_vג.po<G JO@]aZNez'h-9d%߸S53 4?ĚG} l~h{_Cva 9sMhAF@GO G"ыdnMѽ<WϪm-iE;XoY/kl~[>41Ee)R[NakE H| >28]̶BvQBB]|u~o“A)K8܅TO׬ .FV8 : k^m3BseR'EZJ`{A`R$8S rJS8NVϻ7XYqer!ȉ↉N}ΥoAǢ>688!w*Zсcsj4q5,sW؎w БQy<:/7Jv'g+k(Ua<X\_,Q؆5' 'A'Ө-hA9,4us3p΃I{&oܿڏu*vțm#x" o/"ԄN9#V75rxdu2F%3ANV@ph$0>s0#$t MPvmU%zb3Dڿmԉ=@hˬwtpfѶiYY]o%,YO,ԕ.v ޜD7PaAzo|[_Ae.H![@'2{^=QhZ<, i&& M=SK1Us~f0i TN & sB 9,Ar\r9CWoy9dp :݀['pۣamбW^)2iZ=]b0_yݑ'޳LU)qgX/EpWd+h.9F ްd^To}k(ZB\6ȗ=p: zK?7yw8GHS$pQ3Q%PCR:cO+ۊV#@PԀ<y~:PDYuZ> RCH (r}xg}GqFۧa'\H$g.}9 Cg^XS0b2WLڒvڟ-V'?֞!ydFnHD?T/7$P ګ/b=M'{ K=rJ]0C^ˁ廄hy/E ishI`N\аg3u|=t*thsCD0ŇG݆9 V?" 18Gd? >G=93N49a?ۚbhO411$Z}lqw;;=F7chX/GaFۍj;Q׺ٳjF o3\^8gsv}%֢]\_(G#Sߘz; !CA C+}\uS*w_9A @<Jܫ}?*mG E9KC҉Si ]#3}  :"r_KitrX^wV(\0 ZMF^KXjBoj۽,z9SrTl_5ٝUmuTNW7'|K#v^=[6eԓ %zy&/t/e1pظ}~~.<^fnCk<G/1A'(kzR'nc<v}û3SnCyp~+ }*P$\TeڭQMyur0P .x]<c^Bk)WTw \0Wuy̞5ܼ9k:'/{3VUv/K0/.SU9?~zP C*2 >row}L |r7$_^We#<p 8]zeĽE 10a?|y?Hf嘎scY+ywp MQ]wE=Nnе0=iz4> uޑ:`kN/LIs?HG敿A%isP?4~#",,_K4iЖ޶v,|Oko؏6乏%}ԍ;Ue+Q«hOVm{I<Y9h O\_ЈΑKH%;D+>B@UkZpa CFNdms(Xp2E21@1yurtxJetht@8 .BP@.жgw ތ{X/!,#&~Rؿb^DctKk{Z \z FJ9&Q?EA.z̉3՝np]g\- :|oaHXFn7# ~dpˡ= B{ͣ kPNՅ02BJO S@NCavaϗjo+%OІ|vUdh?cM?S^( e;`V$HJDW @4h{w.u4?H}Cz^"|FYp*1Ľ5SF Mi >}'i3ɂèuo_=D(gO]5,j"PΣCb>Jvemޟ78Tzkl_l>vY:mog~=gPF(cx\:o(()$ZmR'ipe`ZXk=WPuNqIVt7!B"(1k08|eN Ôu'1}Ǭe_ yCA/QzQ>ZEut#(#Vkd^?)!ǃF)4ArȦoz9KY2q+ZK{bg3M[6I;w=`hP]ݴZz ڧxݜyU+oFm{Jw9 CCr\"]^,PPƱ =4n R)M(5jBzu'FLSG[ɔfjEah77wGOR _8sT jWt&^9 <qEz%;^4)SEA~7o+քܿ1\Z} 9֖w/(otao}A0ګvw.a_°x{jEЪy,q%h[VNӘkB9(5rR9)P;_J |%{"hUUdԨO=RNj9y]п!<YB|}z)Dovj.w){osrpOtIjK~k ڵ3ɚufxm;~֞ybMcѕڎ?3+ct[hXvb:`ֺk<_o OWoovL /-.AFe<{,yf5̶V䭌vE\B 8r-HΒ<o׬&,:;Û8aԡ5hNXuy܂x3 'MAPT=l"û"LqNR;M#<:=*yнNGw9*|*@2j<zǚo7 ۫i>mo>g/g^_e˾}F}J΀jڳ[Y}'O1r)-Krԍ|9/Ï>]͚ބ?xρ9'L_ л65onkhE;8W^}TϿk#OmuLY:VH8İg(!`7U#`: 0w`6+nګhvZi]nFo~ȭv1D yʯ; JyXzC5ϰ:7"Rt! yYr(tvnۖW#(5zbXmUp?y`wQ&?NZ5g]˝^Ԋ S g:aNF"i2KA. B8Gӵ5"Fv4Qݠ=X񩤍Y@;}y>: JH=y "bDA\`9t`A#>]ߎ#!>Ղm7"TtNXb1Kk]Ga:G#r"hΣ(nAY2\ѕM1J fO~s[b%@y@?u,p(|яBƽC頻N1J&Qs0@s^;Bd'0zu<wm)e@j r / ҏ!pfQ*4P JQVJ)2G Ptqdi˝|:OZ>ֲoН >ޖFY%eC?֕=I[b2r a]3̻~4<87i¢?)Z#=&d^Ƃy+@*4rE߾^տ3 -Ѳi.~(z7eL7,(B,xzbѢv~^ vl(އ5$qBTKkAh]DQZ}xl_xa~ }szm[%b kou,3%nyuJE2VrnB@wo ՝A#>݈еиӱ5 сBws#VocCNqʏ(zD`!ۖj`*# |徰O"0Wx) 琰u:GkiXIOc2sm2/9[ߟA HB2fܬ2trs/=qSX84gO kPע(pZf},Ymٟق=Fj.CEǪxrzڀa1nܜ}{h׺Nw؝.r?ҾH}2grE/yS#Ƴx{hbA&ıXbf֓eiKM)IBEM}h)@o4&G ECA.ϧ1.Ήǵ/BKAڡ-At!E Yr)7:քQ߄5\rghi̱]w^kot&RF$k z}tF0Ѓn KNobGW Gϐ0:-ڈX aOx7n`H^ΗNw=R [KjNvL, *2@S"<zݟ}9E# ~tќCxIWؗO^!J%qp˄"jfcqEmn4a-s>5wt!7a"=}+ߓ?ٳZK/ [7\چd}@>XFMo!dsuj#q(|rUr+=!r- 7{\x}dsO-{luؼ]/ض=ւI+7ceMۭ~M\x%udh=t] ED<Ё)1DL)T!bb\a8 iWܜ?lNDžxGa+)-H\.#:\9S;J}a_xv_[.4/B<؃F{]yǗ+-9 z d]u[KФrr|w'[<>|+{/c8IDATf 9 a(p}~G;5,mK:RϠ3sb=#Gwb5%GAXfҗL*fw_ăsr '*k]wtڏ+oH~ @|Ѷ@a:Ѧ S&!1u.S10UvrYxג^:t\v#7"AH) cRm+i^V %wg I(c%i0[k{$.@>x Ȃ'&7D꥖ur/2e4<ZE4 alb2$3(p+ʄJvp@>:{P]*S!-(2c'iPNŜC~΋Q J2)cYF;ce0Jq;eZ|/cjݯ, qS^=2@DE\AG!pJ9bĀ:]# &R/3A S #" |)&: LxgaWКԾbAP B"G%W1%YS!JmIPwPȿsOc>/ H u_;, uP.:R0ڞ(@})|]GV( >B|%?5˯C3+ l-ۥB5 UaxG~u?#x{Pߑ-Z NFd4xA_spzOcH gNse(gt`94-43: fdP RrSG@4h*."Ok>kjEÁ7tGT8er?7b8~ijn).罼0oCH7݃'۞}6;(M ?ϡP4ܗ;6x~jWQ95 򩡏/ku#8¢fWFW0$=w}J׊y}z_6 ڶ5)'H'JuhړAJ4"}3=O=DQ gP$h@tTW k zic^Qy/^IMX! sNs "\nc&Nl+{0:r@wYP\= ]pGagFsYe$+"kM9xzsh>CLPA;^w8>, yXGY~ =TsJ|hw+ v XbzʳA?I_rD<ˆi{eTS{%cv ~A)'Q}k>}<G#-Fs@̞;K|rh|h͊V쭖^{ 7U>Gce\ZpF9,п; 04 }j =xwѿJѺr3:wG"d9TF"UGpIO0UFV NSnZy$P<mNx/5;֒=% C5uӾd0<B-:!/ڟ*C " @<zm֨E(U7 AVwNYhW$: >-9!_I债Eߘ^8ʳ K؟la@_ʃԉ=F&>WyM]S=ѳ1 ͗1//5*~Xzjpot J߿&LUhz>I`ax{j;D&#h4G 7mӟө#ۿjBߕ>!6Q-u3#wO#d!؇6D*}J)4B<$-kX?NA|EΕn{uujA9Y_A%F'4s읯|b*ڕ1?}aЇ /s}{B_o7rh7퍡qeKOǴa^c࢕(<^h;$ ?Loߨ(bP[ɣONoכzj=|LL@ҏ#*)h0?n:{[6̹cnܠNN5Ja@ 6liխ:jZJ9 F]H,:N51|c%1ۖ]=9\z=gv܇qF۝tlۭ<>/]hh˶}h?l ܊-gF F)Li2:DkSrR {״\hוl'6eUG".٣З"ݤEh 9F[*ؔgzDǀ+t ;quhO J@fUVFs.@atFrPʠ 49 N@xipBVb<*iT+!T mHH笶d7췛S>ڐ  0h*{#AeUuϣQ )(8Fbе# ,b "Nж+uxPYЈ 3w+"4@SBM7) 9473xq-⠼D1@A 8b~q !@0"|_mplS TNM5k띰̜ΡHף @fa,xD %?eaq=/#$ahʒ<qd!r/X) ЂpW[ a}?YJyar9h]|F 2(u~;J(qm -JLޏyG(;hn(hb %@ː@CJ J@!Z( O%y )2$e[7gzZ2dz «ky.?fhw['w?_Ӂc5J9҆w}ҰWgk_e󪖸pyS| T (1G</!aE.yuAY(vt$2 h)^q2K)GGaGlV΍e ݷvCeL6D0 0@V7C'T^a}|Y)ǩ"J|c{9>AF % ա$PTTnf#9 FH!phţSqhA?++s|ѣnRgOط %g}!yz{V%Y{9lh? >ލ:s ̏-<ZAΣ/@^d[u: u)5R(E(vfć6BiC9Y=b<=+_%]9 2[1$[>h6gy8MҔIwDžG< !ƯCshD_jqؗ@/޶/kr|_嘹QԈh_NN /$Kfkii-+{uT#a @ANA ,| X2oq!xUK=3 B5:?qx\>?ӻ^J_?Vvx}G 2aWipф1tS l$ }?PM=к!π•ǠS/`H 2ĤX߈2bz;о  Cwd0/}Uއ" nb4I&6m'[v|~^뜵,(NsJ+= Y gXvɣZ5&Q?nq3v#z~}{*rox} }_}x!w{7L2e̷TrO}aiw/k遲ϬulǗ9:*ccN =õ18VV;6c*IjdNB!·w '5蛊z4P8=gu}"mBhFU&(t_=˾\':`w9T^*cM5~g/D;Ԧifn-o - W}6EMPJeY9y<Z##;px]c<zm&ͺca Gc)@0C L}/_);7O ha[wځn+ JNi=ed r a[1@th5r' -(@ B9 `M7` lzq߮[6,~bˬXz+ǖlFD>Y ]sTJxwa*!p#i.΁7J+O#^`42/~nd #sqF?1aZ:Jy#B.%Y⎀uO?öd/Z`&T6ida A OXVK !/#Í| |Z@B.:B F(J J,,R t9|m +PnhfU_b$wHm`WG%{#҉=3Z2g@ʥG|E_=pњG:1B5oSaG'RC?2}@~e>uF 0,}KrDqauU T1]ˡvc~ 1ѡ'4BNL 9ȗ2@ə !BAl> qBN c#kpa<Ha0^I4j{8ȀF>i4=(Y{ 7XLsoQg2!!J,GQRU,j$ko=첏~Or[ h#%轇 kE8<ߏ/}] !$FU6 ;J?oPJx`vûi cc36pA|9< eNo@%9D{[{wH(2SԝcD^ Nr<gNBu:ޙ{ZOkAJm+4:̳t鼙]k[pɺҙ_ٿ~ɾǯu`ɚr%dT~zzf ۰ BcAƃөxi7ʢhJw@9 1LB]K4G%}}DĨEFDꣵ(JB J9w(]) DB2LTHDh_˙:>ZWB`I #Aa>R |RŔ1t_k(S%ĶqKH̠y$̇\%Y+zI`^|"Zؼ@FԞ۟"vb<PN9_n@3+>+:[&9˨vēa'Z67K;n?=BMл7f͵Լc90 z҇=NC)<{611f*fdcZ:\H3cyʇe :E{!B(z?x] Tc>P?Ϸ7̖u4p'{r(<dJO[f^;xC.i;z/+bS5_>$}t $#~%"'">pi w.g<-:W@!Z'K0 !ӨF<Un1w#X;a= ;' p L{)afzNOCtז0'6}Rl<wLQ%"{ ?Mf =G(7mdd-V#h1mwTv-pr\(w0JZsc?katb9i~m)PtЗ͕FWu%Nݖ^?(I9N >4ևlCitUk9[IA)}Gw÷'Ժ1h}[ӜXfrV-vF_o߅5t] :J>sdGtч9L]N\Kw^?֡Ry?C}ojM,R.@Ǔe U֭;`=Ypz$ߞ=<aɱwZ0;ˮ?ޙEcû }C?XBʑ s@#Ь'd_ƻ@Fj%K*5E!`U> WT''-9ܨ:j aur _݈^ ǡ7n7=+(/W*2XcX*1âmtw$Dw_ڰCۃE9 @C,TMT7R0ml~®M->߰}FE+9xK2(  ';?}+m=ucI ^q7I9aWO,8w~0%JRvҮf; 0WsFOA\EH"73֒O0 OdX4CT@0TD3z Y[]P ^ pd(y2YJ[(RH)Zʜ/c*5tSUP'g׬l؛0RΚ\;(nXRHZ|)(P!2Sd+tʅaN`k87",z] 53BƅgozA08?/5׸jLT%J C޹+ʁPOwuJՁƈx<JTz]p<y8<@ѐa{U V;4EDW=Zo%x8o/>>αv a!S`/#W>AhT.iB23S7tG?cˮjc0|\GNFz5{ жFtLCR:Mc w7 ]J@r622e^¡sF4)Gh<D1"#I:4ͱ3h]t ^_" (<9}ʲM*g P:)ЙXZ1Z1zP4إG=k מmk{~7n<gV_TPnpa[3%JU[w{R֥>O{5TH˧:A)PNˠ@I3P&Ph<*(+or\y.);""Pz 9- $+N<@B}^!~->OJq%8g0@!"^+m4ck>T"W(K$Pk3߯}8k'`0д=V"ђ՞ٟZ~ CD Z u #5h}cb卧(iKniZQ:T<X~ύ(}T>ђytT߁۞P^ƅi{NmO/ic6 ɬ494iOxXjxlkCB4xx,:!,9]qWX|'ϣR]C봿o=<KWC e 61g̓h>ޞ/`L^om w ܶ_䴯i9fgT<"P F眆b•e@is^i=Ӿ"’,!7W2h2bO(֊J3E55-Br깝hmhy"zzt C>D! *CJKҧ;vOҷ) %Rи7b$Q' #GDX'n}` 96N9Y4yȷ6Uܴ†a6})shw1矹qގ޷lByGΉE[| <}GgzYs| ڟ*ڭJ (`15ۦ6E[Br).ڂAw%\sh=]LA'HjZuObàG ܻff-=kShDf^a GuqN?:xV9}%c;ql]S`tMv <;ֱqZ6n_Txv |n etYRΟa?ok)4n7WBԙ_no؍k\GљF|`@CwsmDN&4x>y}2!}t;||4+@Sր/j45,4#_ה Z>( .E7gT~Zjwrn@^覗~|=B7:ʾY9u9е;ʸ=Zu%9M/[mC,( ;@jFD>=gG(%|VwiB ƕggM#wGtm+1DObƱѢoK9E8!%_AO6kj$KhJQV~ eׅۙs|괚0 amA7d ^lxx’Wx+ǂ ];Chk:pN°<pls`Y\"d׈1G8DEҝE՞†k).Ѻ^GkB(?.Y+*7PnBh7]oKM!0#R9-] U9&Tx#^ž$T-~t-WЀm .Is֭%= Q Nˁ!GBn0yaPon xUFSá0BI* Ý2" ;¶i )ySVF4H2---i#j/nt嬴rdO o0(609{Q}?_I> s R½ӆ\ F坮 ZYZ QvhNtO(Z˾ovՔ\9r"5uL|ѥhgt _-`T("Pd|!ފ+=Jƿh[4^k.}A#X|{r<U ٽނOك;|}뛬Z/N={>_7vi t~D5/M(Zk<fwZr }YQ}#xƁm9L#KMk*voD`GiCJϳ(.d(dD;/[8cM*5.hRh{+m]l7Buˁ(: `~B'xD VCexCEw6=nms؆Q[Q%j_k{Gg.[Լ?{t+wQKMl4don=~e7$>;3ǘcpAFs0a-=geo3~>xU̺G>!.+ twoDڠh;}]%4 _> },<}@Wz|'%ϓy. 7C@FX<}/cy@qo} }N38 Pi_¾9oCϟ}`-S&ЏZ-@S<=8DnKhmyB|FpꟑUI^#hh-.зPCx*Z#Z%i h`٣"H?xq Ӻ^y>-F<rtOw;81 GGr4BucBt7(Ƹi*Qt0ZQgn3v^<pjњ׺3V\w!絢O2A[*eR͆AmW<l^fw<qc3wOKL%M/@iv~:zB;<JI~hQ6^{nyHڦ>MѴ0w@wFO!NEΈ:;"#pĽf/غ&kLþyS@NmG|Z%nH~.s *}?+`kYxH<zll~{Cݲ/q;vo'ҋ#'͚]/@;UO)9,}w$~,KnVT*ah|UsZwA#zMk;rhwwA֠ƭ9=Zݟ}B|Q?sh[৯};"HP{áEhhIP2, k[  ʿpl(eEW+/@˃߈3; NC%$8 V@Iv%`0l'{7l(B,JX'l.XNm)JOkPER5 C]K?A@9FY3 ^,HODT*nӃ`v4*ꢌ@'K񒍌LZ2]_*1X_sb(%1@2!`!pecJRH: Bu9z+!P 8Ot!,)o)憼lc0jJ1kwa;xBGVض.e(CC6: h\ASCXu1 5t}=;p%e?HV%aAʇ+AXx{zBxF6{x[<:ޞhp,> M?#y!_phAt"P4=|ͦ+6l%T @}-UɊ'} VY:iFV޶[F D +@6́Mokl@߃?\j鷣w޳ C~ <潩擛.Zַ(:qoaѣ|T -Oz͝6èMJ)s8c#V^DS' A ,cYGT5g]<]Щу d?7D WC#B%zcɧxEQ]h ^%Zn^Bq ;Agsޭ{]vgl:l2 & |Ph7SϷ|hQ݅\xK :I]Ѽ»韂UsDhɢ!>FAG=)xӫ,a[|=L)>܁GW g%ss?k@]x2shQQsCSPz?րt_-)y~f ; ӄh:΂C{ru)*%B`b<,?GAnHU(<e%_٫wcH./(#O'CA7vv=磒.m'h_99zxgAzN#FFWK֟\s1~lb`A}o 5\Ϡi/ӄ‚YPG0 d,DFzlQxPEG;QH$xb@>̓c!hN{zt`;fo=h3-׏NC5~a ZoCrzVpzݼKh%3 }K~] r`:i_ ïeHCr{0<rz2a. ֝BF|,>yڣ>{93w#|P4ȟadԐ@=}M9?4kɵc}^h@އϠ}E7m9?a=L޲deӦܶr_ x>ځB_/CWr\=t_f1TӴw R(v":Lͮ?贽Ï19FsP1"`EW!x_x<O  ՟4`HyP;xߴgzl|%_s7J?t{Zrz ;.4mhOG t :w峂oԃљE s:O(ZL>XʞTg.3ӴcȎ^"k\gѮ<gG_v*֌>cO95>.&>#%GWh-ۋ'Uv#wlpMŻk 9cuZٛ|swLC|!~*vMykm%|AA~&𩋠ȡ0FX9A$9 98+)<Dpe^O~sW]FG$FD>Y 'Fek^ V!aPط%:dض`yϠқ+w`@B#-CBna O}΋ƿINj0i9 6<:aE^ 2JOA<clDabu蚺^tVhϝ_dcTwv)QRY}h}p#C .,`4=|%kd;;;>׭&wҪ=qn6#Ԝ߇ G#rJW xu#7J`(a4ZP>J}ͽS?OkIx]Iz2lV\[d4㺎ЎUjoX@:^QHy@H~|N]Km1w@l)Oaǒ9%0ܵL &-]^,$W{k%eDoS습h c_#/li:4ywƾpʫG%UBZP:P5̾|tawff|[XS%O'}\}L͓Bi@!,Yt…0B,~xS40eqgrjoȷ]C69<jW>ɪه&|r(}((ZFS'42y? 1rJAu~>RFHHj s~Xgj|qY3=v]Uu~vb]zj꾍^W_ŋo7/>0ɀm>"}S'\zN 64~~~$טPh-ж+>Q':Od6QhCK=/iT Lp|(svB_6u١e|}_ń8CxF q-{r҅m@r\ih:Mm*y³Yر4/Z/XV (h_|ytV F5FוYGcYݷo{6C5,vjR %r(m֔-oQDN޿h cw~:Bx>ޫZ%_wO`[ּ;A.Lj%d35Kg5^[|r3Gڸ>}o[H޻A+ w=> FyrD'yD;97'D!:ŕ#dJƥ9H|Ɋ^O7l'/Q3ZC鑽߰K|| s4ꥹ27+XmД.Ql}+t.<{{h#"eC}O;u Kˋ|c733 _NR7ö}gܺcx{y0'pR4d*c/|KKLNtV0H)''~NWD!h^(YZCȲKGl?M~hyԸt/,!)Yܷ*m.X@ 5 V i_I0F[{ZJsq >0Ysv{>4lCgR0WU뚨# }ؾ*r3a7y]6(׊4` yg'_vz+}o&»| cs!D{xL9DF!Ô {wcrƦlm%}z&?^dko-ppe4աO)vY=z!tϋ1UH)njdm.l Fku;oHN.؃1{o?C^.t| j`Mv=9qF, GJ=̶[ʗ/G>>8{lTߘn98D2g@kmh=VT7 O:}p?Ѹ%b'e]wh=C/ ZeZ_'3{i3NOJ/@i }{8 XeJrnFD>Y𕁺2z ivP>* NF%L#20;bd޵1>:v_ۖb0>GtR|Hʁ2 X iZn#h45,E2)2I)}9ܑ5G(\MjN2nxFx0C83;sc(@#q;Ǻ8x:<IDjYF`*:RJdr™]hH\hw_;RaI)` lw2Ү`qLeHU:>}'([{2>BB:AIdlNen0;v߱LwuV0Y~x?Ҿg23<۩zj5n}PG(()gоyPN&lp,iUe,_+^_.<d}I#m[ ekU(0s8Q8-DНFiMr&**шbIDB_YC}>п8> z&QF]0 Ck1`3a[}ƻ26fS(eAa_N<JAt0Ƌ;J6 %(F?([@(t lԁ+;L)#Y$x97COp1:l681gCvٕVhaW> 0<`A&%L^hy  ԍZц=htK t^"E~e> /P鎮:?PIJ-ϖl[} hB%h:w֪yQȩd?.W"}:<?ϒ m44)~:h<-l\[^搻Z<0Gy'eʉՋ3Aך^wgAguLm_97wB&P׿mK6>7g{^k#g,Daeh}߃6֝{NnqќTv*/ׄA{9190BVzYBa#㶂r G(ibem|V(Ss(@5r~pJ)V{(0rR(~Bѡ4|:uDN}IBTS8GaNyxRoMIQA׶1҆Ñ M`yvlo~ס6_v/Y>oBZS<n盚ʻ8''}_4/މQ :m3iw˾<8@'H!3 ǐaH׎ s{9]@iҠayPJ|ioem[{eeVX򟶦Qkhc^ζ@ۢ,&q=%Ҿ_^ #y 'KTjC^"K@eddtD b=meJ@t<gt:V\ܶTe*k\sspk7Fv_ڭk/֬ejwJV9o~Ȗ4bS׳K,zؾ"$ ;`bNߤ?k*2H:II+mtLnȗ++[:4Q yelݺ^5D9@Єm'xy{?.R* *Cc.o 7h0T7F5B*~gh[>fW$ doգ4+|1E[ۋ7d3ٽ=nL}q t}]n#²|WJih4 =S~:#?wqrvR+%h ZS@ivVޱx#䔋<G0Agt6|2sR\)tx2\WX HO:S glbANz<mN֬ c<O~Ҏ*slFD>Y 'F"F7M,[Q}.#@FA zHv Ad UHiE/~*[y;(Aǣ B*J`D”#@ Ea1R"\@{D(\ߦTP<'FؔVwa, @S|)xFpzLн@0{8L8_vy'H/!FFy7Os4%LT>uR]aN:_ư[v=}r΂fl<j)oo~1!䤼Kap2r`Ѓ`"܀ӶʂJNCUP~ECٍ}$7%:qzQ >–m7/QF.x0ֶlmBb~r^tp'F`迡p!a2{zd8~1mK<^,?Gc{|lI'9 B=BYEF>i_5%%thW?=(k5@*qV#[u '!مQZF(7aF&@? 7A v?p#EJxs#7m9 TKӉE3{9Q*Tgv!?2cö?(! EfZ3v&,F4!@qG`kdJF4l{Rm&n p%'Fm~ҽN= H52= }Kq/ HNHxMLL}v,=S]=sh>ó8ʥ`sczFh2E@`@G_y.0կA)2TAJAR/6yu[}sb0/ƱUexZgTxTǪ<ϫseKzrPs6M xaˊ~ cT>U??&z O.Dz 67چV'%ڶ _E# ѾYЂ[Ժ|G9NlXWrzPN[w?C\/9 փ3:S/yUA? o' }H>9(Z_.ʽZnl0vEМu :Bb /ƽV6oc5]|i9C%hȸ\QEIPz(d Gl?>];~pZ@@ C8<hIw^_kw}UΙœ0'L^Y12zgM5lE}&hdM] Cy]A׈FNlY<Š y·sCmPAܢ7t>Me=xA1 /2Ƃd\b+Oc4<_ǖ%#t(sBPe{/ jb_Es^|G:.ѧZ}2b摕9\e sܓKܻȷ)~Qxx*1e痹9_gP:HRsk{6[$mD./[2ZUڧ)BOO)V_+֩h!N͓oZi`9 Id )f݋Zu(k]MLaۿ1}u^ 1 I/%V~BPk$Zts/eSVְ"096 rp>F݅EEH$lbxv^۠}PQsW8oQ>1xWoPt>:I7Ok|_E&`GF__h]7i/~_L&y I[Wi{}_wOcүk{Mb`+(#~KAw'F0~y%Gɨ"b^r "ו!mG54*GtyѢdh:w[zn5xS{'}RXl@Y9<o~QjK〄xr8 .90>:]/Oq(raj=7"?^s`D#7"UPwk4g =)rHٳ~0#wHab/ÁSJ%E&k<q>:Qx1FBAk<GGE=:h ^5}`z2eqnFٰ>)I) P7ֹ; "gPg_ "J1p'Cdۡ9ZJf!4Ēa[:BL]#ILx20Bmp!J*>q6;gOvP+R3 aGptbdkd/aD<8 .PuO|dThJ)2dfJOrö @JI/gu9 VuOա8ԏ@@i18 P*(U0W}Ԉh43zΣux̺sUӟ&f(΂V~%Hk$qZ'k߷>ƄxRڻe?/GIve+AJl8|ZЄZnV>jM!SFw)e֑|eB!rc(BI':u^^TW^[8 Rc*g k?4O!-qZsgj0My#ϴqr=|Aj<R%\pC#e8_w#rEAB1 /Ȼ P/IBiQߨJJe9c 5BՒɴ={~W~zmr!GJ/H@!!=йQF'>$-UXq[N!.Q<Zwqa}6vliָ悀23'Zm@wnc<Ծ*Ϥ"/X'_>zV;;ܩ9i^hd:F|\(ڴ=gEn J|x^~},9>rN0`ecƷFh ePԏ ;fQGw; =qP9,7 L[yU66{ ٖ!' vi M#tp2#(xV#G1h9|f=ԍkN$K1?QԍxL>#pCzrBNK;P(ʁ}ܲhJkx')RZ(S˭Z~Ky}u[YG,gKK3hL,/y#Bp/>9Q=;5rg+cE7~C.#(T^uxFHl05m(/QW#[ޤExa{ s*SY^}:S<e.r6B5͋Es|:΁DUTƚ;im:,{{uO,wc`wl״J95ɾ@ƮA2Ԝ fUKk`>-C˜֠('F05򟠍gnG߆PTnM6оj[u諣@W:Hqz^U5ɩU[#PXnٯ$׬H֯w<hbSyGNpLۺigy5A*S>7,Wyr"PwɱRUɣs4Mrvb`G/lckʖmhIyY9i--{p%uL!g(So״7S]6OzSC݁Zya%_w6W 4Q[f{ng(c sǶ8AosȬdP;U/h\2lc ]˯_1WE#U3K$cos2ҳy7 @}fgAÚ#<[ < # a{YPBwp GF^%BRgv}'De R|9 1_&5aRbTxC]]c F LmaqS<̇ sΐHhd='q/OXő5=1J7qZJȱ2e6((2HpH]UF\ipBf󶻳kTyR0j/e"9?Ƿѩ}g ~@8u`0FGpnhS1_WmU;Kk0 eu+jjR[@@;+bw ([)`^Ɖ-u{nޏ`k8} }!=}=¨D^m?rMgy9xx>) w <hROLFzYla0t<Zh#@K.Q37QQ55lzhvQr=m6MAhRQJ*k0ɍg6.AuǪ7t-G*u49-dȄZRjzFgQ7m#yaa >BH_9^SQBPa% ݪTέ,!98y^SuDm9Q">"W29۶i2J]*eϟ#(B)5~*QJW^Iw"BpO@C yp/†r(H`~ÊsֶmHN_Tot |m9 @k!hX4"8.F5"@˫c78Eߦn^SXsTKFEߚݷ@`fΎ]Q4<a(LX_bm~knraޞ W=g"*|~{r_o 5( 2xum$EW0_@'Bx>[>EIFYRg{BiW|Y͔l`<m;(3;`+iBGQ|RSв we?>v?SGc5J(x@35'U9#/5I PXETdS ?5ߖM$Ż/fs{`=>= 19݋'J]; eD{mZd:GexjjF? ";# Mxc=Bϕlukum3Cyи GyAq<y^P_K/bځ @݃ ]k ~ڧ %۵%(U^~;6a\Cy;Z_ڷ4sH\׈~iY.]tkҪ?9 Z{mٻV{VMK@ h[i8(-ƞO/Ѯ9 W7M2g BFSAeCh8mbt OSa e?LCG/)b b4 b9,8 L8r"<2rжGVo{xD?DA!``y+s_oƦwvw鷒3sO6*6wYF Wz2 Hp$C9 @v :'cgYL%Yv "<<k{fov}Kԭ/S֍gtZX,R#JFy4F/@y۶L_|jã%왲DZ*^s'2kF| > &.! vYeLKsi@nݞlڷu+oڄe?8 P; rkx2ym7]' ^7E,R08zSD l@Mvca34tb3I ͻ`G  JoQ@H Pp}_5'S蜗20N`Xm9 52P'RJ$*@<G ,Pd-`U8Wٿ_-~~\#,`;#@p KWH~#p+~n#(@#tm~J) YcMA L3\h0Z1O fZ^uC#xA!ee=uPB?w>>sPE_] ;;q 2݁!p9蟏p<H&fJ1h;3Osڻgw?OY" /;03qkm-y" 26Lej(%Ķ_|-"\4 m{mzϵ1F4: F5h04щwM*d9eIJ0wFh>m^^twA!Â8󮐸"ǣa;(r rȹdn~g{2VVYW;mo 5H)g;sE}R|OF.XW8-g*.oXeUan`0 %w,,[(m* Wh%: !ވF0o@yFy4:5؆ #7+}| ߘ^d,@'>Q;"-'ھuNVm -OWY]h?oSHF,ی|i4RKFS/Ɓ 'lcv봯Ux!1/[{~,)^Lxw!9^@c)%֓@ -'?6/gA"_~kwDxo)R]_;oxF K1WE:5F G@(RW?q:rQhn~a `u e),r/sɔ?{cC{C__M7]h$: VY[wl"./]8Χ"Dٹ5ˢ+"}Z,[Xmye%0&`LG@t 5UF; 4b< =O|ppȑ[R{L;oXbI n^k?1v싦(}-xF +6,30i|CqY`4\f7m8];-d?$'"@Ԧ⊷Ky g"i#65G/o%A]Oa 1 TwY Pc/# !BEQ%ު"9s]VԈ"1 w,,[:_iwo='/m<ߕQ]ʈ-q? tqF{z&9 "m߉Αc HU/gΓs +Pȿզvf^_B+tdҼ-“<<P8W#zj9g h ]˯wuqԦ^kS9 : Tze9[BWΣ."XՅw_FD>Yd{< h7mib@vsXnv7[0*9 &P$G5?v KWmfz[ <{?a8*yN1myϠX9zn<3Q𤋣64:iC#L!p?Ř@:P\S0 *"~DHy#8_Cn;P)(S<FzQ 56!TQ8ڂσTٶ6m/gA*[J!cc u]PD@#Q392샒/e^|xvH;y"m7qϽr(';E]̺48Z.YwF;ᙤhh_=? FQO^:Os ŋwY F4(u?wM" ?JQW_"8 P,S#[6S:+kmL6^}hKX`0h OYw|?Jh#K D`PFBdzl!"J!` ƀV4~iv^5WxJ g4~ظ/"Q ѿ"4:$^JtGπ; zmsfK˞LGB9Z!K)Q|ayhi BMA4BOh_d 7őO}<v::m"<4:c'mmmGI߱o O@9FAvpB~ x>}h;"dQ.BQ8<_plԟ-.ϼf,4 bF{0,T9N@AԽ՝[email protected]/p'gp@pz>U}&g )YU#ɡM?縈;r֙>rmCN@J+^+ЩMSƑ;B@s~8`CSE9JĬC'ƄF]01A  z)h~r^9PFQ.l5ԁPWt),C2_^a[A-/soEC_дBJ0lԋ1SJE\7B[eب;^u:i닟(ӽL _9Sj>7 ӇFK9N>}Km>Q,ofݡ>,T&O_r}Edƽ}n_`_tns!w.YiR[d6o,ϼ}+ 4m~I|6 ehed0| P oD0=yM'k+GcЦE΅#{wMˉ@#Sy}O흩 `r*[?C.o@vCj޿" 4,l-ðƒ}>:Mb&sc3A^F59v}:.z%|gEY0J5VAKNL[w=yj}ESY,V$A0h Tjʁsh_}ˬ׭ȪWGh|xy:<)#*8 HjM{$Mŧ`;<yiJfa~g~~7dN> 2r]-gX%xBu7Y>C|,8N8V7*GrSy9Xm .,r~jy#طt=~WBrhT?2?PoD948FB<~Q]Es6^X)-zT \D]j#~#",3@ P{/8 a)#,^۴o~=8 \k* F8j{ll\jt͵e{)xE^| ץ AR:4W8: o  C{(ySeZZ+!&25kcӳ608Pذ Sj t:fe|^39[JFódsdU4~~0)e׏ECP<JדpDB1[^4 (UA"LP*77lyi JLʅ?u MƶH Dځ^8Wh LYQhFRS1w.E c[sPnZZR0fA |1mu@"w 3B0gG5=RήP@읲~rH!R[9v| ~дچ2 !䏿Mˮ[rh><AӐ0d0Phh(K.T4݋? MÏ@\TV6~ 45X:FJ ؃O^w>@%גRtKAhh>T縜] gAWBf3y FCeF(1E) w>J2&({r%.¢MXi\F{ћ)Z"=X1)eI;|j;k?M7m jGtn?s D4n"GYWϔjB*@CX[Ex2(zOYh; "m._1 O֝!(q\8/: P;,hi뷉 9.<tWqm% E_ ZG;ϻewO QQP(ɟ}ΔySY[Xٲ_ٹ2 in͋eG )v`pk Io!8rkAH}I:t9KC==rK{Rs<U :G/4RZ C}Y[xX $/^y:ʐ/9$? rKN: Q <4@Ha@k Oi?"WVyt,5 Ş@#KE SR^ԉ6吔.Jrh48> ?-4 GD/,дJA \ =>P ._"A*|/v@St4U !|} ~jקHVNߵc7}~vl0Y}GYeQ(?YONIt/;^~M5|z yIa8XvM <7m]?xǍ$|AHclQ F68Zݑ;,4MBmn)ta?G?X19~Wk@yBރPXA!h?y 焜 Fώy΃LE׷e+ؑCG+YEQzsgor?gəG+VN>Q֋S|4G5ԣm ΍8:ONE#4F'(Os",("k <Iϣd ,o Iep05hQ8߈x^#A{6l,<G6=elEhp]+YzlsgV߈; (; & '=b6PTOlE9 rxz)#+).b:#Y^\Wt h`䇑A%\~z,p=@Gitn,@#RݩQ(9FgLmAOyP& u7T, Aƽ'7S}zk$kz_?|!c4^mKW&~)W,B<_\s?R?Ɛ2S5d-l2aiڰEIb3 Y/?V* C=TCw 2@_ۦ/9})}U<9x;Q \ZH ju7|_Ɯ&)YJN Ad} y!%aR|[ _U]}ۏKYs?3߀Pw8y6Q?OqP֯A (BCIK0uM9h[(D﹑D+Ў9{w1j6Tvb-6ipq;Xq)(Ԣs%Ai!ZS 0=q;(ʢ{ߤyR (>˻/l~Jп2s*q6(W 3')D2U'flr:iCT85D__ZK# P $BӛTjx, Gt.\4~. sh+_/2J G@,oٿ,P_Rҵ[@A)zް>;"S!}t.|V)ṩY^t^ke7y!BSήw~=ۧ9 cgE:0§eh;OZ\ݷ!KI!01hpÒPj|6_%836V,P2r?NЄwfQ֠M:J&/xd{} }CTWmqr,'(I *qEHq߈Dak*m ,h&&oV7y/OD w$6Һ9}IMCrNj-KB:GTEw ; 4g,; mϊ0gS9rGgAO }=W`;o`?~Wx{d|I_@2>+r%+]^"DѸi\9E<CduNY EhUZqW,ȉ!rDI r"[h#_o{ OUi`qyچlt4},P$B>|hCS}UckZjZ}~hU>dV8PԠU[yϡ[/{_䐃fV+h]}<%^yQ .BcDiEoôuMmp|F'5`5hd<'7]y^@ YKgrѩ2dɾlx 9 aD]۪?B_9Ou\wLG1]?3jOYbR# >x}[oۿbЕCr<9 9B玬\ٷc79c :Σ1ɜ:v^\ S%%4[iE+jݦUȀ$Kr2(k^(Fz@S.2GisMC7jϭu3 -c--𭐁o,вea"PyŞkYEl,l:mn8hp@pubAiPHhnk(tBjc<HsS<y`ȟEFp<0%0u's( G@\Ri2ā/`>gMxmԟ ϚNmw@2N:͵Μ y~hGXO!syV |aԈ!>η'[k*%&.xd?__/oZ<ƅ,Nbx-s:Z ®n8N X/8$(B͏:|:+ҕCBPR8B!}!dzzsy-jQƅ7'Y5"lICR~,pcnSh؟\=z» א`= ^<8q?]1Ϣ'}>^ans~ :@! E #'Pڷm Yt瞖&R^3 G( U}?>L?\NPy# 6}Pɉ4#U׏PQ1h{wtE ѯD>!9VH.J ;NDUB?!O|v" At0u4z=CP 7]4,Pd_?g[8 ]+[Q!E:p:?-a h~Vw*4~E:4 A=-l`+( %7̣5: >Y]Dhڕ}9*TW4z! !Zoot ,8;g}-3{VqD '^DE-d(YdG߲J*64Y9B6{yw; (GT?9̩J0>lH*'H"e_V@=L"?3L& K4ce6Oe+bO {]O2|C-96%~==Ggwejfe <_S e/J|kpj<̑YZ~{i~c]Y G#T3h} 9 PA(|rԝ/_SD[;,P45gV|@!Կَr>N97}@EI#p䦁~ȂFWÜxсd;Ӿpg<33, CǠ>ŀ:h} Ox(0⑒wF,Qڋ|ƲeS,)>?YS{ ^΂A9x}9L9ޟ{_}{WR4 ^=|s)8Q'gb0Ϗ1m!Ām__|KE xul YmQ>sKG#!7AcނF^#BN>@%mH/eH(%x8rc%偡]ʹj GkF,(΂Pwԝӥ=tENe<6MF)Ѯ;yVWWZ-tb{Y_׶gd/slz#8 @ʵe9B4\et.2%#Ύ 蕯 h<W\K VDFufl5R6i!YPGL И@۱.1# cʉhv,>gEDzm J"|bג%t≕_Zak߈3; $Re*++vpxHgƀP]ӏCr|l~ Q(4NtFA^a{<lHr8ث|  zYW 0P+#@93 :X|͈P}Cri+!0):TMMMȠͤTm2=oeF=<pA`S@I|h~ȏBqC=ʾo`H)O=؆-!^re1ȹyn@?̹@]XT `>\Ycaϱ2<;8N) Y:~P@پ~z ,0P4Dhe>TI)_5b*#!/ X#t]9DYY @ڮw%ǃ zL͕gvxz~)Ln`†ؓw0@Ҿ ˩YFÏlzFP'bTh}{G1D!_Hɻ/G 1yWC 9F'SW>겒-z8eZ9uו.LrЎ11C;81eeY˒R3s̨Zeb%={󬧪ԩSU{w׶ Xy--]f<V݌[+Xgt)$B㶳Q?O0n!x!4U;MD[󇩃%'oWMJ%KT{@;8 hʂ]@&f>7b zpcԏ5b&QYpȫ74ҼEPOSa=Um 8gv}ݏVaMS/]a&ˉ^ AE$ nu]<N? b-C#ܞS[K̶[L>ޤ=ȿ>{FU{y}?.T{MDd#d>AWj .}` ^xZ!!g=R{SP[0|$f~e/qwT$dEu2g ϙs޿t_:oRwxW=@̳= &Qy< r ҏ"$}DJ'W8e>>%Z;~xBf;v]'( D'3eQE{J@d9oy}})H,;E~?QB/MQOTهNYp1\q4$F+MV|ys}؟,.Y[c6,'-f tk"XWʖ|&[aX]O i 4AH.OkS8؀S}Q(*2k %zv_ r(pcj$e6I=u& Hu͠)ւx'tl $9A>S:MA#J TB?EMvxG^#37xBxۼoB7G$"*Z':^fi=3?0mE/rQy0%).ޣCg_vĄ46{pSn:z&e5 lH}ehZA aU]cHYh~D#޼R;=b]wN/ڷYDa/$iM׊Jh8PD:Oobdd?Z[[QlQ?W_} q#<`2Zx~GA$_[$6)(Oc:d&T L[}tȏ:rV!H=d&RC!/o{hѱd3(v(_H ʹ7;U=D[}AN)"zv$)Y>E]B~a X4uTE`j-(3ɼV9:_>WzP!7}qeP?_|v,*rՋQ8lI]JC(BSnwynv|I ܷia(0l'HXiO,0EõH]ǎ>*)隣Ӻڗ/%\thɀF_ (<܎jDcQ59QC+5~QtړtX4v@@FF +J1N| "u-SO:y},v0lyΩBrxHy@!NQ* d+JT)$bAsxyH<mtrZaLG 5 3Hf8|...`b唵5@oF'|}}_IN~s@S0" ̈Ϣ'u܀okzV#rb ,zT)waFDF&}~|Nx/ܪ-EMhB4MmT $hQX#Xt퀭JELRU.y8 zZHˡiΓw}{2Kzi/z'⠬ M§I:cOmq?{hKþkF(5Cg{񝇸* P < *@Dś6syf>mCM,ʝ T4 f\:vGt?F<֢ZB/6ҧENsn;LЬI(<&R:/)WL9%Ff hI7:AYSAYP(qAS_CgYӴ! >@ݯ_#՗WTp@vBwy\ϧ;8uY|v,=Mm$ >O#BV6D ?V* s[wXVm0qӻq6:nu\3 ܓᄘ|>v+PDyu|5M? */@qtD5_ȑcppDZ_$)!EjdmfTQq {$|x =cpcFK "AG2*jR^v3ӾD[g@L%. "=]H>N~uCB刣އz46&8cOUԹPKoSoh+E-ABN9I'lگ]~ _>pmF[NbGIS 8ωO[SiEZ vd)aP4)BWWP-ntߞPliG0%a8. v'Go+\"vPv&@>iL~$EM?=)#𻓿}] k9s+g6ŶGMHSFL@cz7]" b<oFxN鴾ct=1a7kڥm$mL/mmrP^B}%/퀮/W龖yz11ROk$(ﻉ>c7͙>j8'F}ڔQ4zB8z 3vmS# B` \}kE}.`7$N iOtCBU`Q(oD}ǬzԢF?`,?r_?@~>ɾWS}OP0Rt!ύuYK)NFY ?Y-nuuO}BѺ6o}}5Pd1։ e2=Bmp188꾦 yoJ7b``?~ DC]૆GO<Miȿ Mm-Q("nk^s; \}~Wmkյ]^zynHJԏ4}^mV/u Ihz DгaİGKm~_>AܕUa<SaDKHE Z&`"1C;)ۍ]Yo: U qbj1kU걓ϯڀ$o}Ou@ d^U-c>6FBqHvH@@ .g7MPوq`dxR -~CMtki@PD } :K9Sw3$-K~/M2k"pD0'CS4ag߰Ya8-ROc/OG.`=<4L>$'DYr}׈EUOb߳@4kXb99:&%+X}Eb4Zk=Vjf"]=>6d5T)z&E 9d<ebk?: ӖCoQaTj#W-ϝ|\AC"$dVw~tssu(o7?A)`k@+xb cl3LnF,1uxhȈFG)&}ѓAYcƄK$ /=غ42K1pzJ/tk4vX++xF5AUT龂h.MɃ10< "oJzٯMJL a oDNny>iP@UQ<MC4Ji ʖZ|l+\>/=NR"/]Kh7lqGO7/1zzN=$ZcށљD" `d狰ʶs SFe8l,P`+pÍb`#j"*P:x 5kK/׈2[UT&I@yE&qVd.*r -k%^*P?cg8jQ[6`xdp4K)>mtD&bY&=Ee|ֺfM6E!?Cѿ7Aӏ䳵|hA8+P/%h$<y!uvF_Am5OdN;b/uه&/ n~'g!^L'V*&*4:_$1 +aS&2mN$[LCXfVB}`_*aE |wL?9X&F=le{T>'OwXY'N]O5Ⱦ$."Y 4 0ѵtb!O +p ``!A}Q&lkܚ"&:}Qd9,hO_VPzc 叕Y''~Y %F4ō'Db lp7mo:s]HcF#aޯ2o%!.9k|f']'5oϔUQŞ*'\ (P}o"xTTˢ9LAr&;#WA\r3i} uN4qxr>> % }N0C W|&-zy]ȗDFHz]+C؝=AĻ~u_AK<x5,rPve Ihjr 'jw`O$|c"A|gt0A lZ|%jY$ZAaoL/;% Y`V](IB!Dɳ)>o5Cr];X+Թ166/3eES1-7jQ$ @m h#K/I% 4ϥ(K@e_bğ[\n?JH3aޛ?)"~ $Z$mɉH]|}$( sJ= $I=hYE-AqhE\~YƈwQ)DqtBƌ[F?#iHe}ca/A=!X' v6D_vЏJwN\>dݟ,`oYt4|m`tR(X `9$ P #t"44"-fC\s=$ Z>QKjc"cCc 9VfRȔ@&1o͗os`h-P g.C= D8!67*/!u(*paDF91TC=Lbs+klbo/'o9# "c{7}s~Gurl ]VxhGm&&cAλp]!LL I09D j#&P@DdY-2`gݛ@EM^[)3rڪaʙwx7syOgsr?{Խj5R{N ?eՇoߍD[(LH9xoxHFJS ND' C'4ı!fR <"XϠ1`4ҀL'u?JO=׈z͡8:'E;I6bv}` ~`4o9IDΪ")Piܨ~iLsoE (.&< ,R%f0S)0F3-ImGhv( ;= *`H%( (vG' dqϐ%7̈tRR"vAcOXߘ J%&hw .;k[q> ~qŕטJM J`[0f9*@u?,ف-Z<QbM@mvD؆volFm`A _("*Vm9iҜy!:tUmOKahjRq/)K^yvpMݒV4i$य़UFV63T@s ZoP8.dZW5G-C'0| !kϧc"=) 6&7V4!Q{݇rH|ALP}fl.|L #SSRdY<Cb`l-A"?izwrDz˚^`As0\$@~C'1љ.Xߕ-*Q(eEBw>3E`P䠀$(W۞ 19X`Wzo|1\""5 A,jL <lO .2# 3dۍtja<r+Ͱ S-A%Y<YǓ|%,qZO>~Oδfԡ(K*R^,w()\An캍,liЗ'ۘΉc7'LKge-g3a-E *څmehRg0G]cf׹8uL8tn.b`lgRJI9HPjppAg $4 zfkU'I@Ȕٍq4FӨaG@,44]4`Y>R&ZPvyioqmz PKw߳VBP"M:n2!)*v<h\B`k|F{ M7S/m|<_2kU7f qJ4;t(mWR:hE6,f&5,hk-fd?UW_x 7edI̵Mǭc}+p`<P =bTLG yr0ax+>mY4nk̏ EIg#* dGyC(*5_v?F_zǑUqCP"'F J=ؗ}}`Dd=J(#~א.ElWL NQUpzsD^NTwGb v;i>pA~;~ M,`)MefȁF 4 ,f8zrJa\?SG>3/׉'Shs.0BNJȴ ǭ9W&J" m̹OBc:J~~Oath(T(0ALV@gqs]֬8DvS$2KciS$7Y J6d:[`Dvjt q:duN(j@4{[oo۬׭nA@L ]dۤSL#=qދ D#"arʼ/Cmp*HQܷF "H,rdȽg@  hm@kߩc~6!a}.Dd`~@z{ lP$NJ7\*EVo'?w(2Y*{oOyҳ5!TSpX0 *KFUP'[ h$ !o58<|=:'t@zI}t9u9sl'Y4ʨM(Q=vH]#pS_9$is"44(`ll ]q\9c}g>h\{vP/Qȑ?#ط󼟢fh(Pz9A,v@`>ľ#=N\)$W A3("A5},oh;}VFDMJ2ߙK``*J&iwE5,V) ؅$_< ?Sl3-ҷɁl(0Rhd,b\:kFRIBzѦ5am}tUA!{nُ ־ 8oQtXE` 9ylHk dAbߟ Tj /eޯUЊF_I$|:QaO#pf &, &E؇HR$xlZ@#=PU~Q+*(tE@Wk6N0:ofچ)clPkɻDWp-""üHF>=zx>^+rne; %<C]ݏ~ ?e/BXޟﶃQT(ۧD6mgxz(@Aab<b {Ώqi)e,8c[YB" = PhsN_;H`n&& $LM}wxz)W}^II5.]䤭3XHz㽘-EAfe(g|<ӞfSwt݈'辂F̀Ä}<>kpig ~4S|&JhoYG~N]|FԕV[{I`#i  foCT0JbOl?_s<F'ߩQ+*2np"G$]po{'Fǽvwfj=@֊|<l$u $ĻDnjJܖ^BY49𒃌 ̐i;Ļ (@`F':f8h"~m#|-x瓿w?<W=I )9),WhzK7B[&R@Ju"/"-"vgb`@d3q}N<8/8\t |̰IOF{(e Rʹ&<,Se%-#ɧү}se|zd+ģ iQFoR's[To@b07XlQg>9~&?֎aNv3F;-O/<K }K`889o :W,j9Ur3{%9ڈ>G: ʛ%M:~a9SظA[rs?Yl;`UW?KeQ]k,B#eXmho;oim 9 aсɑdkߤj#hDo€y# 0X0Y; uDīH/&:*q"0} >GdJ#hTT5oH}}~S`}&:SbG1Kx-}NW)FwCFU@Vʹ<6=%:ۉ$ӈ &A:ZVthtq"XMq/ko5Kb~ 9@ i00 z>q܊QN~NO`b#V" F&~J=drrQ$L& twJ>1r^AR-!a\tf AFmĨ}'jyNE:P4RkXz߁FJKFIF&P@54AXzwֻUBSP{f*XMͤOzށRi%A?R ='|OMOiVV latс}!Q9r;IA^sA>OUs,jLk_ )cʝ tג.}_L1_6Rta4FdH<|,1ۆxY2?!V n2xh }f.;X`H-ujeA96imtZ"@njDCvC0:;I^Qޅ8=J'` R׸S`pZ"Vd𙬚"=;-ȷNsz$꿼.0zߖ{'na=E~"c D]o!MǟT{?PK*(n~mGӄ6Fj3Rl=J *]x슱1}އkH@MXYK#zN?~ @}[w7 硹"E*c?Viç}C?rXd(@@A!Mg*p(@eȤk#`(@L7@;|1i>x( k~Q>8Q$<[>ծT8oﲓM]GIfienN5!:`8P<kt_Nv&ޖGף%&퉂qa&~o-QoYݲDȌTsedxߚbD,HWĤʲ#k/ >tu#Gp .ξ݃f5|sēnMUDaWP ~cLjĊ%I$iA8,о9f ,}3ENj[ci[U$' )qtO,̓vv3CaWi KgmmR¢ߓs%{[”H{#E}ee >VBaWMGI(\>lH\l'߳>22{t D-NcV>?ŧZIK{ ChA>B{C$QKe 3^S}8?L,N_s $~$QRq:"G5l^ ,*k|[] f9F~GЦ(_TQWIhShԧUd9~$I2&`vY4D|Ev>o;SS~„,;  OUaPVdi-K*OEho4x剶҆!DJ ErH%io"mHQw*188BWC>I]p>:<p}G ax2 (Ig4 ePA}o;hlj)K݇PoG9E yN2J^Dђ2ULc N:T- ƍP#}ß@[mm=7"ꅦՙ?/aoP$*zw z}v#q\R+M_CWK]vy.je45SofOd74.S<99L`P{ɋiv@ktvkiS2QLS4?B`һٍN&F\̌ʨIey?Wzc:GG6AM}&| lH0&`tnt9 ɇ *9&ύS Z#. 𣏠2#L 3[^[Kg< ;8x`ʈ9(8p*vY4 P1XTwD2CiZ21U0,D(, ap{0D:GiL7_HC'Zk㳝 EMJ3XΉY 021<2}tzS->yNI+KcgU; `[շtr ))T8GwjN}Lo2}n"Wp@u (0k'W (e J/Repe eZLS 3!#I&)Ō|sDx `zܖU6 ej&y U8ACƓ?Q:,+{R& >1@`R*r&geKdZlWfL^L)|YVO#@  bq #&NH's"Va)H破 5 tcmqq:*>%!1S(q3 ZPMzJIy?)g;[nܚL u"*gS@规Lmі-*TgZ:`tF<D"|:Kk*ARGGǛűqŗ=cּ`ꛙ^{HґLTIϯfU+kfn# !T`njRM׷zG"M)QL-wUpXJUMsٕ"Ih`=}JkȢٓi;Q&j `@@`HIAHFFo5It}AF=^^OH풏+ gidH%}ZTq拦uYeg&Tه[;'aPG狠Eve_@zK=F;r4`2 5߻ i*>:giTTJ",`2 <C`agKÇҮWB]u&mz3}Ʋ eIT$0>N`r@$ eWEEh""~498p5x1꽈=I/KtCD$NHUΊx?p,L%ܗΫ+Nb[(Z"ۧ,ksLee!nôagـP(AvSazɅgQ~vKKܧ`Ӕ mP hv=M-*0y,KbҹvG[L,OV}vm;u}5MA AVpD}׃A˶f[ISAs 4-TupX5P%d;u|4 -;yRUߓ/EEJAcmL-+]?[uho}[ ب7$^3m"A}'uR#< <),nlᱣHSi|G4 2ޖQxH&`p $eNa1j0q[)ï\ӆ$Iv'AM;m]$yߚ*wo%:-@I[ Ybo &T.(l[m' $.iᅫhH"U<^=JwGm#DI]<d^mcq~IkC@̴?c?l1S^PF}a (b똩fFS*# ^tE}Qm'7lV]*?m>,oC~16 Z_6a $2M2?"|;g_]ZHڋ,6$mHq?4"AfEnKmO'áW0Dr%!$}F,J>|4LOKў$ig$aKP_R*v:5B4JD6@frQc#|9.W`6I>H$ QEkӫTs QCQ͢_hEsD6dhI63 me{QEX:@s6l$[ɵJ= rqbXqq|vT vS[_&dW d 쓁*aD,hvvwDK"p"hYDN)tARВc3G(aEN-ЬkֈV*oȽ9ЈHrb{YE_{;y_ދuo JRgc߭wi0'AiS4<g8I'J'urr6áCwsLb=-zkXgmMAkcFtSDYzoDY%y0sy"a2_0N$*IONɓVDaVc"K# !1$fM#v0@e;8ʶy!(!/#EHnOy\ӟhM&Dd_AfZow` o81*A@AÌ5$(p2 t-}MeHTCj eX3h=IvԈ0D}zj_4*h,m'-=Է=i4ڞ:և"DQjF#ɯ+AT  ,?s%$'[㹃f!DszLl|㇏cpL4>S>#AMzR ٯvE~+uC"c SKw "$ZJw#>Lҕelh$O@[S4p4[78~}1}m1C̄x 4 GMnT7 (}(u$#saC#k|NtdE3%V){! +eP1E% HߓX ?/ 16 DFI߫ 4*}w{Bه~d^g?wp.ۘ_S@>UM@%ʔhk zL6&4DE֛o?iaӎX)檚ȴm?*UFZz%}Fn4-n~mz"(coE-v؅~>{h%P'Q Bqk*G n^~T}_]?9} XW}";)S9x@wAR$1.PPosbg?iuLjæ{IRͣTEC%G򴗠l|#[+h]?NLOiQ6z;LƻzD@O{e+-b.g;j+o\o#xS{Z-HBJo%ki#8nAg`XSmSm"!Q4-XaoiGx;Lg& SlE +N hFܛLO4>Yg1UFdQ&!XhV'-wg_PV|C}HC$?%ҏ%wj }D BKl^SͰjR5j߾eRke?<S$v 8CH y A%;EY|}j<IҪ9Ʊq8>z#$) H7XJW A|+_$"ъ*gt/] /ڵ}#;t;$ @,WO .]W`II+dzۦ%Ds*AS  NH)6fL6+)/qoKtH=/Q?/%~B|1c<֏qlZ!C9t%϶h_:OPT̴}DDcd>AvG+;>J>hͨW256O!3!{v~_Z~TAp$LQ0~\>DԆ7aͦ|avuwa`2kdoC GԈD<<C \0#C?)n+m]!ÝNvPGg[^C 3̾H?!e1WAQ8hGVŶY %L?c!6BAջFGĴqC8.AɎP0f{zI:s %&暟?fm$.ns\iwT}.Rc<>dV"h-7ST0]#aߠ>ӣH[m>DpOb}JL?ϗ1mA!BU{3S)*|Y\A4-紺]y}36lߎ|'>xP i{i/h 󰝚-])}Qi^1nlK3lyf1JAL}!_'Q_5agد-Cm.T8BX :ӕAWaORjJ9#-%6O!K\_"n.!_hAoII{ 賢9'Jm&dW |4.;+v#CSvC4_Nэ8ֻ0bU0yR@B[UHw5Ӱٰw"zHbAjv3ZlҒFCEu7 ZCi<|,'_~!?``ACE"$˩74jYGjn2"4ZfDxҳM14R5jjM`%88*m ;P *Xy:">!p򾵵kC#n/~D# 4\W37#,N@b]" -4 $~\q-pw t$>H sޛ[4[_Ow7>kĀŚ+ PkH<v2h! (EP#[Ubެi* t񯟾786D:|4"-cTl-@o`YLNi}Xi>@fe[jd_M4V#Yneh_$@gV40+ FF0okpy(XP,uxs>G*fΌƆO+pUD\ذeCu8t>V""o*8E|W"?Q_E# ԟ4d<O5bw?~t>W7vCO``Fb1t`9s~{-?w=|ȼH`ÚCHHSgl\.*#I85U )VpMxOK&H?? "#(msw iշiLT: +s}^#b#6 =R0`1wӈ'߽'%e~] >R} &!@`kE կѻMQ<4Ĥ^h};LŶ|z'QهHDќ^*9/=J(\wL @P#bDaISd&8ʚf%`?ƛ!Ҭ.UU0轧&V0MF>7|<LESTL{mU!4g(Y{k=uK4@"iL6k.Hw" ׋A0X۩ġk[WLF2~/:Y;q]SDjt_AK`pp:OnN{࣏wj!/Ԩ<|d;M%W/!#NTŽIHSDX+m9r8:G7:>c7*}G;J?F1x9ǿC(u_hVO_Ts}ЮVQ$ArL?nOO?4Ji$QP2vߥj }`sξ$1d U@5&WP Ѵ879$ WrUט| *waJ"dywv'iV%Gh !3ف V*ك}݇ϟ}cH:x]b0Ϧ@ӄH/7+ϖSNT|x^LiH]w?W1ɲhkA]S:PISNU 6]PZ<?OY醒!yq?cy6KR'}yg{)0p:o4öAv `g0m)G+f84:gV4@lo~Gk ,`[fN{L*Xcӏѭ)H>K|$Y>tCcd|Ċm~9/wPbέ&|E8i_Ϳgmuz߃c122~k߫=x(GqQw>t=m"1̑lg>H{vSEu$58N>W noM/bkyHG}l' o!X ۥGOk"L2Hq5+Xij FYݡsLDTuLՊ) n5[`S^2~I ѿ2HxĤ? ѹ$}d7x#:\hZymeZdiӔƩ~ ^a~ϭhed';LoЦIO"r,=GH؃NzYNa7m[܂HZ-Xf ,xy.G;/<~4JߖBZJD4j24-9g2o;\!1<WRT(0vBDHV(C"inKz:G(6Q:yNmCH};%9bdKJ~?KLJi3ũ߶oI @ZZZ=ܚ*mk+}N'm쿿:XPQSC\۷Mcպ%WTwx #O6wBK7 -OY~Jϗ J7< i8kl5DO措bs q7oMk|j,ye,]Vr/-Z{O>r?vYB'b ]] ~G`TNCmTt$4+:DeC H"IY+k&X`x+`!'j)<,IEA|m54œ#<\mC1).t M Dd*ps|:G\ 4T (|Wm' +`Ej2wf@?l8r`>x0>|(Nz|"VP7p+0 BO#RAS<)5K^BQʟ_ZϜUq&[0OCgo@)>C`MiW-!i.߳Ft,K`6[Am3355cAt-v /!+{o1a'[D+ h1KsҼf;u<^_Ϟ#@ufw=+I9al޺O<o(FĻz[wwgSktR Icy=4pע%,FZZ J ._U;w.x1<7m|q<1ux1LzY<SqM7ᅙ c,jCpg-hxُc!Vqi+ 48 3 O51K>)x]1=3Vs tt$V-E IS" +1FJXdGxM;wKx_lo$S3[aﭦɶ@{;)C[wu!!|$|*$fқI>fA>ex^B L?B=w:O>|oyG`K0}hN$fI U5*U *jhz^z?(f<,:;IV>Ao8Mݜh#>+X?+ЩkJwIxi/ P$V2LE RdS-dO#8H $xy<W~LXu$~Vb2 6i,vtv<Z :mWBޗWXq)e ͘[7@2:|7$vUP~ kϣূ4:A\ \/齳]D:-$h <n8~UV`S,<x>mgSW\[n?,߷_?~D3tׇ`2v(Vh/i+I!8.446ca8w.)NP~LI`=nNed>"LIp䵷 vWe"O4 P R>hEXBߧ5ߌIR+PՊ>^SgO;̈T{;~H mE׍)}]MQP@ ۬>K |DI?AIgGfVkU b{$=- (@A>RSsOOE_W'># =byWS>ͱ-R'I>j⍼V,S;} U'G;@cgԣUkA6v$+o|<!Cii. ik[ډhE l (h(DΝ(f|qs ZzI>WC9 6n܈M[v`] _'x |h臔}%VF7蛲cHj Hl鏠E0~P` ̜9ϘӧGÔi'g)cڬp՗[YӐ&\UKp9hr6G ꤂V՛[ ;1>_!Om5`2%u٩\3WQӊ2 ׅ?%=dt_WDBkn$aD:"Um'-*X4O^qAEw9Aj샞 u;nc[w y2 c]o5S, u m#&`*@T@{ >y]M Qb8ɸD>OG 6SAYS? N "N$J}ĉIa|exx}y\6CG|5}TYSg=IU'NB,JξB}L跄Us%_$oO7 @:;mKQus;Nk-z *hҐ*0>uzh>l6SD@?D)i/[ m`AS2"Fer-#۶0s Vp8LM`Ou`gg6xex;pl44;1'|?|){]>%d'kWe `jNe97݅ y;9sMÚ˱iJ,[|S{=}w#ṩSHԧߋ6X`'1scxq,̛7U˱{:](E}n xfRL{*)(Vq<I7s)m=?`@NkӉ };;AD:&y9G8ٷ ؟|X BѤh%hd0hk$&W*pVg*xS|]y#A[F(Y'x}C-APTS`T6ğB}x!#Gq>f^EEu4kN<_ۚ "g@ee{De顁KzJpk.}qMRy̐bo3/!2`~גSAe$s{:'Q2ihxdG4iSlݿ_cK]w^I4BtFࡃ'?O>#"Is2~<v41|akk:tw/:u*ua`μSV/'S>ǩ=(կ#S0nÌi0׭ƺW㉇<y >,_4gϮܻ 6A:Xh4ii A}"X&Iq/nm IO%A 9lrn(kOOR?VnTTNNXD'd$$&3rȦn5:sN3J=xWJ W5-5*E cu߀o| t8Iy Ft HE iM(AB>xx$Ԣ(?o{ s{ Gy1:$|>FrFd+ Ƚ6j]lJд&.$Í[`=tX9OgKN{6pO)IfpI "i_Km-fф(pf [븦Q5D/i,DEey6 h%M&I (TnQC.]3 s!t{odžM10\Y_^9sH6RGppA ϟ ??mk3s6wgLh]mg5e08M ؾ~ :i>C^_a QQ濄g {Q;QLvۭ&8sskq*Ly~LO}CxqKxqZ-ؽ{3*+wrME_G2J` H *`@kdv6A,#R:i*~_A nd fg$xt[:$}11HgW #(Acee"u[/}, "1HEݏ Ǎ7܄oMgE$YݢU1c?ٗ8\_, t9D O'o_[h(>eʨDKsm76@*sGzd+o AZq)A w|8=سi<A{6+N]h/jԝUl_ytI $m +@@]7 ¿<}LAae dYl]YHo(hh>1`8e aX'&w%Pj=?~ رv!<~kyEqx(^?NOg#~HtIX(\rq8g|!@08I"XY?#cBÇ3^>[x*x2<S(1==܇{MyOO q3yTکg#g\6b+K(y)xvӸ11o ݲ*Q\JW96Y{V$#}Y~V@[tLE&o}MWȫ;]K:~By0g7v xh5V8i\izyz+A}ZMO[jLcPUM&aō7ހo; - CH!~ *D~Ǻᣮk*^u" q*{-<(`Dvv`+a8)LW@skE@35~ 1ձG;pxN0 ߖBnuK5bv- iFK~QC VGadDi/>FF~- طؗEW-!FZ!Dh*(m` bm E4e~pvPUYle/aS.cpp}  (}Έ29425L+K apBmGeNRY7FMC5X4y̚4׿įoz;r&7_zոksӍ7f7&u'M}[ ^7 3{NGs4VnEc8jvPwttToZsՐW|aru]0PYRm]ٷ&\])ѵk̛$Gjt]qjDZUA0 QEw'(;#ZDȅ'~WFxB) ~dɳZ@L44F~:&-ECGyZ!]$< p;c>&ao[$@,MjU J֭;wt T67Sϒj*,ЈRO ;Yt=S{0#S-G?yk0rkOQ: +-YIr{+FxO~^FbH$q]4()vۏ0EO`Xb &Ǿ!t&ht"X0J$u5  qSfȞAh[סs_~t&&<7c'axfSgW7__*pu\w͵Kqgse_le]~t6n:<9a)\2kT 15e"4]pDz`|B*PgVɹox"UҙNn0(tTk{Kzh$\Iu֖l]2mU R7 (PD L4H2~:qO8v5lnyt8"h<NxCI/AD 73H4 /ejZ(@'! <Fgio@ xtI (x`lu`@%Ȩi~ǪNL` Sss&oلv@{$s$cfs#&#$Y'H'=X7CҢ 0>!#F:_d+jHH,h_4<v6@ TX͈yf|, V:k1{si|TwmB tlƮ=՛Ţ3)3jlܸLJ1><Nǿ}^UZƓ*Uf]~ڡ]3q/n&̞g~? qo矇o|rYgw2\I+nE_{-yAGyӞ}@3j,GS.FT!b%p8Ih4ZM@I*hh6 8 gqz)ϗqR&KQE.nK-;.+خ :ADn1(}Fټ/u@P+x,Ⱦf>u7hj̥#[o|Hh'pϯ AhGg|_z걟>Uc5G]'|%bڡv qp_;8Il_S!uJO|9unRA_+ op1?Ⱦ;1ُ]Y7t#!!h1D?0ўwYZ L~\vMAkޛ+m籁,0ۓBlq Ky\7I2(p ?AuZ8 <hBm $ޚ+Qhm0A$9TUQ(V*T\ⳅ_ĊWc劕ش~-@Hh_0u,JU.wHMq3u܃P{*#1%8p-Sg͡?g[qM7oÏ> _pϮ/<l‹\.Wr\@|p5?Ã>r,X0>(hlEhU,bwFMztH} 5Ud~NF8t }@zfs /QРD$Fp|Nx~|;s=h !m j^Hi prʆ~$k߆ʹnׅ/@/Ƚǹ<m1Z3u[!@J^?/gv<VS12 *Dįh^w6C9܁#"!^("2ܦwR<'h =Ux}OzJ  ;kv?*FԻq G0ۆԉQmF_~q]-nݏSW@ @!1bj1cFZaJY~nC+ۺ$;vжD,N ZR#_Hhò1+P`4NyvzBMU_GJQ MBڐ,6Ŷ_,PQT&ނAGAF=BYEM{vE!Ԁ߽y|;\)JdF{}EC܏R-tnp 6(oP1(5wogcF1ml\tx)Xrc8> {?Hz'p]w?y Naʓ᥅+x*8]^lپ Sg>GdM{ѸwjvoGiF;S!  #B`2&H#}NC"-t֮>? *u;Jm23t)N#0tR}<*LsqMnwU$=)4("Z J'$evPx)G |h+{MˮGusN?#Ț@m%YF$ \k D8R#kЕā!al[,ldp9"& @c$pP@jo݁6b+)lZ c| (k.˱m*l[{6nAݨE3w0&9Qoɩ@ƩcZblyF~xRy6ò0otl+ft^Ϛ}M; ѻt:ChD eh xN,(\IWRjPwL-**QW_ć~[ݦbdېPiWZSfH,W4%s_: _Ãw۶ s”G? =5W]~9ٵ4̟|b*fϚ7ciX~ j5 S+/D"DhoXW`:zHgOL;+8gFd5fFUFKn(+XڛZA:걃芑ALE~<|:h ekLY`JL2=^f)/EEypk_:"8 p $I{4e?킗@BW5r*yL3!0Ǐ `f Iv5J!H7xfT^KS1:Aw=*zތʱnn_K 3^ߎn g<=i=$ My3xK,y˰ضa;6݌7#LRVAkTӀ"m5C%I˒k3EkK{ eiEύN^ >s:|q[Ό|f Y?kdSɮ5@b[{?vEӏ B;t7sx:nkE2ڋB6wVaO%ًڪ?'}2?ƨf=nM5ZLj&I܅-7~<6oچys๧SyufMj^sڊ7o>?7x!<S3%lذg<U//};g Oݯ"Dͨؽظn1 B:@BC&O}-TYe|0Z7?@xezoMߖw7'P }ot2y~SI:n-`CoA ۝vC]eiHMP(Y6 Q p/W53B07#MR̪^HΈPR?AHN>~ ĭA;1Z-C0B*ڃ$ߕF?&IJV@jxtw$Cuvc•xyt6!ټhsbO`OcʃaO`ҟLÂ9 uؾvLU44R#a Dk0<6R#<GA|e1x)ذy6mSBA6bwym$}Uc;2u@/l\HI 4 {V 5eP{v~;|Jϑj~{}:B +uVE ؼ߱kc`*g|O6o߸^xOrxww>,.R\q%x&외7wGSO=a*nܸa&6oކu6<z5m܆ekzB4*lDM5~CV=>wnmU$v%9}e%M qz2 hP@CfU+e(`e5Ad(ߏ˾Xs~#S% DfU'ΒybIڃ}$O`Gnf|_E4C!/ :wخ^kK7/$9|n~MJn\Xgj~?5d}60mEv"J/?N5W6oٍ+7cK`y7\fLO>> i<೘99,u~-ٌM/6L]$L+# О#bd~IbwR| #K66rdh #V.3333NJ5x< P'nSvP878֖ASB/zFQYN(1\ee5 WB,`F5#ـ/F"ȇlp{PcV ټ>߽G@i#IT[he}T+54ܳw`;f͛v=^|~>6Yet- /̥qI[[.]V`=c{n,ZFе[b.Uؼ}/b$]n.)!ÈQ{' ԗPG$}E4!( 8TʯR:)VJ49q&4gs*Y B5M@ N};ࣳwp$IM/¦QEoF^EsL1CŏT鋡D澑d{|!R!<Av(6Nbe$E>btu~D<Fhph4#|`7(XނH)J)6|"" 4ȹ'm}lxix0{0'#?'z^w+:|%Gsϻ7R\~+~x6.;g~yG0KغipJ֒t&SHW U}cUXx|Bsx ;Ɯ/%W.yvlc(jީ. ZX;(Cm$1h;iFt06r|mDuC쀭"!Q"hۏM6|խ>;?O>xTdD+n &]L UX$15҉mظH?`H7mہ+VbK b…3k&mق뮻 <?%3f%Vcuqb }w5֐eE^3jtfV;} mٌn>k+x<->*n2l, 븏UC4Z,eFR,"@j6:G߶tޗ%C(ÐnE$ L(R[&=4B Iғޑh*  O([DKf9B$x `9:ۿde3)}  {×U_ǡW\.eݨiۊH79Fc3웚A}0CQ[]Ix04ɦciUJ (q { J\y5+pww܋k7^ .<xwoq?|?W+|_W['YsdhSSrb(* 5bP%f:5h ўj9/:o2ZWT`FU D.+ 5,tP!jȶ;ia 5s(~D m! *h®]QW{#7؆IE*+Ƞ?NJHR*"'dPfFlڂm3^|a~Ķmv&,:?K_ߌowSlمEc/b%9X*j*xn|k7D{[^/xx#^-qd"2kyRڶ]=j_x>M*C+Y D6YUS@ڸNmÑcﲽ\^|ɿk^+`` |Q]h ~M ߛA궇B &Ux4IW1{foW# 0B5uOR y !#{OeR>f~}o(Ab*#1@:Q(QOP 1~&N 1T+xee = D0F@KV .#So׸Wzos>B\J__~3_ǯoo7_Wue|ニo>=g-@0J~4MEE25i$ĺ Qlp\:jET~}MqwA:~~5صwU*. 9߁z b<Il!QJ[ s]ߣML r8=kiu?_jaIdy?Cu}<nl][ף>;} +4#$N@/g?&o;؏<=^ih` 2ggGV.^_y/ṙxvIt=wSWcWXh\N~f46;+aVƂQxv:n6o VVoǚuKsFtuoY4E\8rpQAsnHEIIR$wiI}VH-]E{~F7?k_E4Cq!(AY VNehgxO#e:jy/$ة!{/ M u"Aoo/oIЋ{p8~2hn_}A[-9QV\RP4G #1bOWيN:\8z~tQbջjBuDFAVHKHt0.y_^}-~k_W7ng[#|~Ws{9?/K?o|~f?FDBIDAT>4|s8$AϭA>gQ5="L'c`Vozt#\J2BmwțO28w.o2ݯk.e܎D"EܤhKB2E$H;w8uv_;*L~?A(`dWmf0Ŷ_,sOS+m+аg%;#cxݷH$i(5* '7ZV7Q/ުjTW`+)O=_kXmĊk`2%x饅EXt5nNw~Wn px漀g}Š;L[yG%6Dy1pfN}h=2 {IjB+rKM舴;ঈ[T<E'?~sE"-vtd_#tܜO`F 8_`@hDv̉8n! `]HR%S4-)yt T\l><C8˱p\C`TekvD*OH'8:KM"اStJ۰=9/Ň>(rnP$Ċʋ[\8Ȟ(z3}Xb B|cސr&8gϦhB3&O nz?n¬ /g=={TtzV֌DfL%?FԾi$.W]U.wpesQp(hKwwc l*N!SJarLyQ\{eW8bHwj, Hrt$'6Ş]+hX5RH)T4&pR4=i۞*4ijNum5jk_ށˮldž;|u˘Gݟ71fUK sز}/6p,|y5͘'wXvƅ%`:޴ۀ^ <͝Fܽ;wMщ>y<f7w,if{:uxw]OGYfߣ6Sx,JAksi0" ؓh _``BZ$ o=U `j޼ejb!UcL T0('d8.;*,!_"{ѱFpy <&2 f=ɶͩm%I ]f04 mdĢfGPL7 !(\ n/"*j[@vA)$$"C0}boY =]?*(G#/("X0Y1><g` !d?> kVo3WiM@@)FϩH5ETJ&!U`hP5D߷lE#eW .7ϸꪋq揾o_|$jO+G+l%bx;a~>IM+}/Rg;}}e6HҴafy&lظ;AMOÏO^g%"4F$ZF]MT$jCuuv}]݌mbXIҿ` ̛ ^Z9n.wly6E+H&g,`͆Sá,>?5gQ[ *t1=}COlIִ!-فD鼗!1v65, &Q?c4Ql;Zϧދ ܳ_ijWB|P h?<4Ia1 PI:]#ԃ}Mei/ >u(tD3e?O ޻\G-(];1DwםH}GSߕ*0DٶYtu(fL0TbzϗHo$kUvd^=sR|(P;q5b_kd^a(mAL=_q -]88~1چGN`_8Ϙn>xzG0<"I+q66فR?Fs}?GͶWٞͮ02?Ld{Ze%Hۧ)X¿Z&簃(%B?f_R- ~r!7q.|7t qN's GJaNp{~86bMv?ƶ'a[~;~IR~ۇB7}j&kDG3vn^=[мw+;}b6dАH mb[hӚ#Y#&Aٵ۷>^vl\g%m\/ŋҼyI̶ev\zxy&]^ZYflW5V܂j{c [|m<4}B˵廰c&T*=<=pn#;LR> " csI#')hNl_{`"/"꺃 ȿ >P0 n<ǴJI K(;YY NoMP&͞ mq2|x@X0LrrQ<sN8xwC.CC$1%gP!W8 bk0ahdK_Vvz^l«=^EPfߡ~hJR2F"6K?? Hs1̜". 6dk! #86F;xgBrQ '/ص ||[¦ ٟ06v</De5Bn< %{O6BE$S*ƨ)uqI- =z E1h l\te%W^3/>nZ̚=ľ>(0wG=f ;vhh_[G@y֭p뭷[:s?Yl;` w'Q!n: w@y>y}{&l4SE[ !p,P+ )/k )JBβ2lX2t-3Xj=݄֯+aWxr4w]oc<7`k1kLXnI6lۀmeBࢁYFsxgPHӚG!ռ|x-dҤ7jI>3V|3OcmE:n2,(mFΪZR5}˭ (A;)mH88ǜk?q]C"*N JemqVߵ|{eZ޵γ0 ۍF'ɋsο rPE@I:iq8M`3s4oh/0h lTfoS%zte=a[s uVSZ4:x 'fs9F)<O7LӣCK: W}55[ۺe2I՗ CwV4W^׈Z`TdV櫛 >u@bpr_WDp~|p?ͿO<u?kށއ Hᖆw ,l? F/c spA9sv}-QWAsO$H B-a5OهhiM,*DDJCX;|F`B< =9Ta^n3F,\ /.԰O^wb:ܰ=<zIl!aXl#jQь 71UGGaƳ3p~6)UUjNi)گ4.:Ht$~> z즃t_nwӱh  eZ;E8[LjGJMk%p*,/"$e? *(0,=IRPTP۱ ~]AV[I"T_r^Y2^?q0'Aas W |e2y3}%ʠ0ξA[{7utUn*!G}o"袳ˢj:t8r@/w;i5KGϚ,}h}N2=hjSLhk\$v:x}Q_,$>e3')8v'eyV+XMɗ®j߱ff8 O)P35~NvM%4"{@QA ]E׮ۄk~q9!)nO1)ع hҤm 4Rf5޲yS,HRxqֹg|'o/tzi'i? Y4w}r.[I]ڀOx > 4ۈ$ۯB\z 4ne+U7*ۋKځl<H_zvr3/\K_T5ݿv.ڎ\?5ql!߀=U.t5FF]G_i/;F?To@0腧 7c)+GseSN^>p4oXœ[(>bx[)}e<e'*#GYPp|N$QoiV&t?L ДFgm#2g8|I+QU+VP_yoPKyJf;Sdy6Q? d%ыh>~ۘ}mD{"ǾUt?Ql<a4g DE|W"Z b7Bˏ i1msHX9|y7БJ╹s?KHӗ)ED=F?EkW&wcU\J 7JABoh׬ y5nG(Jyv(B\&=^\s ~|98K>0vW!3+X@C\!{0f*K N{t9-M⬳~s;봺doF/x]ؽyvoj;ӷEdFX55Ci׃$CğA4me>G;*+jIW~xjʣؾi6]// b܍s>Oy`#vK,O?1I%]N]wcJlݼM80~3?_+tw7S>wVUY}Qxa+ ! rKr rzc~[iGR:۞>~ƟUB/I=hzC4YS}<> 4@"aGi W? G$YSꊇ2絨C7oy =KV-e /kVӮ.¡CibzS-_ -[f}9A\Cc$I+}E#S/<NSh )⪝mWh7 tA#c3E m<E'?9GQ.mIN,;ɒ~q|Gh{_BܘȄ d{IKy3Ρ~`ɒż8}5'Dr[ MK4Ŭ䆊5 {^y8߿(ԧڑ~CAB?Mig- 7J!λl\|ȔP^diG\P Ia dH^jNib0J SO=>dgv)ړ0p4\رM{W!څ_oノ$x"9Ƅ ضJ.pffx˗.$`9V.Za&X %?eR,ӞEp7MJ 6N-;˱uG9*jp,Y?3T=m4a 44߁\Hqo'N"`t{(Ra !h'S.)KUJ|?f޿׳D?޷Xk]ZU1[D(T|,De'ܧ0kØ=w*,x-`/A  N8`3O 5;&8hʝDDR2Q"J)Q$8HК*#9<,Pq+z_Un7d^ -]^ky.mQG0 ^L`iMؽk3Z3~ v 4Ty[S*H+j\fΟ9ple*SwsVoYOL`]}FZeeXǔ0k\\rE q>Uۮ :߲ޕ-)hc=p(Cn"ԼgEfv(0]t쀭n>4b44n=nصy *v-yxA7,ĘsntrMt|_s7U44G ٸq}lݲ g|4[q\Vm+R_ܗcێj|nVj~q)2 /[njOe36nnD$Ţnmp U{ᬩ 4Ԡ9aD)BOSuD'{F'e it!@ԨrDf6=L%:9 {`'C奝@+!{8ɉ4\]8 $$ްLd5Jrr`ꌧ'G0cS>I,\^=<6PN؉Ύ.̞"_FyuIMۡH(҈Iv@TQ)Una_#Q@d9B'F`KT[Ik9C|vOMgҨ# ^-`e4N7no g29X,^f&A?ԨIŢV #JҠ"7U~w8C&(<dw0?]$ ƈ57^w?V]iL Bd"%z+-\qY-? 7_M;"U-Q= N*.-k"'O$Sؽ{7_r酸 N!W #FOଯ+-7OٯE.n.8A4?7fzPxIl&Iwvs'V̾v]9]euis|&lZm;"?ص/FT0TT9YOP[44wK~/: M{Q_oC[.6+$V+R$"i7]AfQC\G"|L=b?=Ppd1CA G}E9 )3+@=V#JT@eIENIX866i̜5OO}3hO{GO;y$bms?װ\swPn[k۝NLt T};s?uo0I\Z@Fb1 m|L};.hMz0$4X.CQIU?s/Z-7# <()H{J(ʈP Np>?: ma)fo*fW_܌K.~ 7+P:" YE' 73N|: ]c(RM^;t}/k}4`2 HVEKט顛;Hbfگᢋ.W\|ZجՔhxw+۶ц]OG+3kG>ԇ\D,:IQ&1F[;BrGN@mE D6>׿FiV\A_n1o<,Z[l7-Xd{vWaWOXW%++*9MĿQby݋vt M$\B0Bה`5n|+@bV/L_,v G?ko̧w <LdzI5H@%¦v*o&կ.L/$niy;,}s3 bV;~US`OUns|K 8-Ͳ#Ȧhf_Q׺ک0 {s/ES=#_( Mcuu?Ñ}}(Dg߈ۑP_! $ԏ1P}<N[jX:ÎmS\E-Lk~m!w濂 [Pb:ydRIbl.BK.x#JhC ع6X FUmZ\v[~tlKXxEڄAKJh OD^Wf,9R'UxǗ73l߾e#|G!Qt1Z4`CkU6mڊr B:ME~uV<ڕLb,p ]96H,!ir9Qk P'';o"H3 *[ QɄ"~::o4-eMj ,gnĖիn!a4WƲe12e&Ǘ^^%~vMXx zf&VQQ5ز ;vW`]fR.?[SFG&b>g-*wnN\mfTJ$Y#C$, djR'#rU`\ k^ uQ<:nBMpRn7 C#4-<Z <Jb7Ń6^:{n_ Ѐ! *QӇt,s˯|&a_8` Tm3iҁJ4I$I7UnmS1R z>YȚ&"-`MOo)*Xg)hs;QW]կ,KZ|p3rSakqW yKAOY~6xxqO~{X0 N3`2Lfm<Ϝ)sqEď!~Jpm7_"b)ϸx0ƺeQ*+Ԍ4CDϾ5x{p5+>o8l֔HD]iGr`bjԗ/GнxQUL#Y!`̌:ktMNg{ʪHh|jwa 0g38oQWVVa {,[/B6X@x*] wTbux'm^([ߩ22[~qƆ gc%vm]ƚ]hIڷGC(&tnYtI:8!F0!SƐ6XٞzJ{!DQFKIRڲGRe wڞ&W0j&q x4$R.5Z-yͮ Af<x0q篮#0rvIB:ZȂ/odZx؆짾$tzMZl6{!Fm]$tpGQmAT$ߩt]H$mN[:Q@:O Q dgYSвY N4j9/V` a$RMFvGg5uBy@@}Im Ԛ[%dyxΙxgI84g> lk #)Ei4Eݜ;w pΏy|^]g?5ѾsNjwh^C(I°6SQ&t0 l9n\}KNU[x?tdr1w-ʷ/C՞uP^*ϭ%vL~b$r SMsFׯ^ysf;gTźU(jFL߾yAEϥXv+U9zw#ضe^zq1i`ӆ$ $Ne8D~}|_MMسi#5C:FM$nSd3h%*rJM_+$*g /(Nꫂ]%-y_'IZeր \{6"(tj$o/uID[)@SO+( ^1KZ[6GOޏ=zY1 xu? Y3@}n-җ[i >zl>߅jPba#/7*I.}C=Ixu⡰5$ [Z#ED($'UC<՝})[#6iN&JEUVF]ȓY3#vH׬=zzu,&- &woW _ڗ3Hݟ f[qDʐx,g$]Y?E?.~vOpecմ!d+;X %um׺F KOWQN2bo|] TnZJU=o1@_ =${$K}dvB6>kj'Q݉VbweXv \k`WWKy֯=-| ú 1RVw?> KB]޽رc'vD*2%z-6zN,S6bmkֳO%~ͷE?k?"R6Df+} k ߼quAV<TASEYebt`qhrG!L<ҁO B<_Jg؏rOt7\N[R@ܳO <k<7v5Xz!:>2NͱPUU%Koɷ^ALƨ^b$; ^N#S mcm ڑ(F4BnOZ'Вn>b$|})네7%)d4Ea֤L=fyO(2O457e ˫%gS.Fs}߈lʃb>L2D`(45#cè%Vv!C?Tx$Ȳ?ӞkZq}w7xgj'-[dxr@]&8p+<^]X~ pE?2Y ;jg( 6똲 "xȍ;a۷`owr\ub4nZS.g]l]u;WUj|ư {2xkj8vn=囐dUlDz3D͖Wq"/Fn3E/ޏ~un݌uI&+( V4,^秿E$ o"Pz= /aͲUBy:lZ[7nF=Xr f<8 :IHPH\!/r ?l_mk{b^ʰ`ǵɫH"K㡑똄NN Ŏož1_m$<ߤ $}2_)zը@_N;B1#.F_lu<A୮jxW+q]?3I10GJÖ6L"s+~,AG0HJ#Y!(%*R Z%vl޾!s֜<M"\ BQA<<^>WV^piڂNl`OU-OO_Gו٣hRU̖dY,bff,fɲ, bffY̌-3e\IQ*`t:t~7׮}ɸyc?Ocqセ99^[)瑗M1S\*&2^s XP-  w7td"BDKt7bb[L)8E[8&I|b-hpD4m`i`g\Hտ8&D_@A61@}W"V7CQP iT $P\ikg( 0Skb@i&: 蹥 LO/alt" LͬPg b!s%#~>=W&_%~D`}X>o~-FʱR5`:5x:&ؔ\Ld2ޟۀt՗XAe~* Q_D / ^VbCHj.AEyŕpu@fzRRQ[fb(+.ar]DUE#M Q7 RX,wL:f\GwgR)Y]RuXnJII_|(ųX$% "D 2Q6i:1U,Lέ_xO^0251qXr] ^=LLc(#E,P_ ~gx!nQNOçeRfW$===9~U3ѯ^HImccO<cT<,xU:1X0?3yy0O?~"m#29Ox>& q~1Ea6*@# By}hNǟ C Čl'<B +7_*y6.}Rq;WwZ9BU[_*NqnN GEmYYT`f~app_w' od\АxO?ţؓZjiF>'Z\EkŕPCc; S-*J!!9^ߠp%r-ib^\ɠIXg,)LXg?"3_Y <^|]SgG͛~/iF[+DULp|  XR,Ugbw L^LK!Pv.ͅXhG}E<-J>ZF5MBEQ**r|2 *4c_W<gYq5*؈}g;d(+,Ek#yBZ4OcQ7W7x}z5nýkKxc.<.GyecwCs6}sC̤E&0M}(O|՗s9Y6_38"*`!cBhq+WĈ(*afhrz&cÿc:J/\'>;)#h ț )]PSO}$Q'戜2R 9+r*jPwRLUR>xӢx 4Pcr14?9_³gXXWٗފ: K+wxE(X\ @Uug/ЈFpH.\Eju]r&rH+@s]-ΝF_g;_'̬p\*j8 7GwF twu81}|q]#$,ζ00Eq6>F44" Wr> bU(n y}lh`#`dpz:`mq! Eg_u1-f]'"s4Ye$[,E"occp:{޿᯿F,6t/Oo:b,4`*/“1P׏6bKޯÍײoj hG'rr,jjؽo7 ׅeGRr .]JdH|_W_ʪxϢxB,x& |\(f(BuE&Azzyn6vhƞ172SJU<Op./6iĒG|2'ycK2Q9DB_`b]K711sh㰭WZ ~}꧿Mr34מ82L9uk +sEo`}!sSi&$\&nCzZ6gDziU44_Ws6 =~/4,ok!}l'wf;G6g.2cn\Ur@Scji .g`bd S~a>KbOICjjS o qB+<Kv qi:LMMhk荆҅;qkbDZv|w4 ..V($=R1c`}-X_zok+b CMb oMyXi"4 ҅kbX - 2j5iQVx!`aaN :w,}<`ai{=X9ԁk#LF_n<z/5%<!woE_VZH;t?a%z š@EOLV%)% p[\HUUoe*@ BzZ t عR5l͕XT]QgΠ022/_ƅ$7yi[email protected]>&wօ@@+o_G+ww7I"5h({dFN/ ;!IMƕ$ԧ'&":j1;$ uhfV1\6O@mޗw l)~p Wh (ZE݀vi;͏>/Xuh|(d(]_XzIU~1.\ p6%]idzItFfH*fLSbjzInA9"gp ֯] ]!3L⊃ַ!xJl =1Ia0E"/ ]:gV181t"#U$Yk> E~X/8&qc4<4R`7&I54K$ 2r`nk??gx{#*%farILQh~7` F{’+B} ;-#{\*4SC, Cyq6hŴrQPR~w|mtdw$2::u ML/M)wxPXZ|sx"XIOIǥ @ƹ\7Tb3?ɧf0)4 e1^sFI#;Vg1?@iY'R䬃޿]1K*o4e945ҀAVZUطMDri\_&"?3)){ҥA,PtgӸb )jl,⃷nS0Q<[?"-l,JSHs4UuI$4;QT,9J➠kFLK68x>@s>EC%dI{W7n?_}5^.V("64ի4*61'^+ycS|<n mX0r4>9n^[`:گ?AbRo߇ܢRܺSRSSSGqiOfdK\{-i)Y0A֫1KQ0$W䇇4lqeqm tl:Fa;Qԁq$<6N3@[@AхIv+znR}XĹ8wx~['iJi&VbR< $/YZh /C~'a((#`/f}"}> >MT|2KC'Z"<WaQ1PRRy9sSMj!**KhXzA.32FX&Al_,ϗNIdlCBq>ΰ0Wg}@@쟏AJ|2[17PO#|Χ~(<Q}'uꈛ=?1N#3gi$OCĹa?)X'ש!R<nEҀA= \QG_M>硩NF1qp?fP,de#+#94#d{_@{-\T '}p6R<H=b 01ɳ?ۢF:FG_+DmQCG\Pf2D~XRcMq_lM&_-Jx6@NN>/~wo8~~}M01Ԍ"x'`i_'?9^_@':Z5ݗc>Qp~e&}b; J2?zF~q|}G/ߡ^f>VGc\]>N|Tl~r ]L/ܡVX$7\Õ+}hIhhh'w|7-fL1jö.<w޹}7oç/wpG`ܣؼQDߡfZ!'ۂ*x keU4YsO@J6qe(*!6.T~TL !:J؟b`_X~?!ֲb ,o~Q 19Ȉ3PQV e )@T֔v< 1AlQ* ‘=b ū]b܊4薨Cw -lPMtX(<b+S{+8+iY >Kl&ce؉?? 'H EZ+J=n|ɫDwYRlQFEf K8h(ť 7PUST5W%P^.fV}(LODIY Ҁ dgsK]R>̼Tdcdrx~fr q*uh' UF#&iϠ$# yJz.蓖/\g}]e>~ϱF_X`liB֞bgy&rC$t = :ُ@Ky_}1~ͷx{d]'o,1lՇFpZ*JrjgӈZYρ2?qs# RgArܻw#Fff1:)f8y鋗%jU<fxE8 +s`9:Hx =o>f 13IybdzՍ+ he3$V{WEE9z{:};}9?Ϟ~óSjqzb̓X^^e/y^.&Wط7AheĝsCX R'R]]>C'R;'HfoE#fŲ%CC] 'CWGzzA-X˭@<_cayA,[}æ9<g1SZhSpgr(=|,kFdN S坃Pn[BTuz6Fouom'g8DY ?4^ܾWx#=)HRiiωhx-.I bB^["+y要Y`s :j x[ #.4"Oxy |t$][;0=҇zbqrWG1?ޅRz.溈 pC!-l<+dz" ÙODy3(-GQ!vbt}4+ ݚy1hqMQOT"tRKbmݷKQ}ST#€s}=H$VU"R8j/`pE<|X$5ҳIs vP8w3W-9Wi.! !Ny[ c8oW>HĶyXW2}rCJb@LZ*YiOyikǑ%hWWLcVXR>_ΩźcQX!Lk0S|UOo3޶tu͓}WST0sD|\,<<d3$`u88i3go52 qA& ROstJ/ܝiGu5CmM95M y+V3 C[k'jzSMNQL/ghoGki|ɜrJ[.4-ϯ =jk˟?B? c| .!) ѝHO>x?Kǯf!=COU6"aoa C1ގIf=i@Aa^ 2sY8rHmMM1AmPGT0c`[󁇓=}:Мd]\ՅAL6 fFf88i3Ά8福nq1FNV&p07DT7ӐJS1=61X@7ܳ?f5uH+ 㳛Ҵr1q K7{-lb7'cO~M:)FD\3&ipWh,i<<ݤy>.ETG(W?zISV,=yg.BVFEE(jՂ+x.4h?y_,c8)MۋuL/Wҥ%Lգ[x|{FCp :Nx 9nW:hHh0xb+5 bsd K9g2'H x{ȯ %.100>"gz 47|߂wWTjg4r09[``8AZrS<Ely6n\_xC -bGl{(@X. :y G堥{Ƒq}8.N4Q@\}&kV2l -N"7PP'w<faRu1 ?~F5{,.s"<s؎Ybnw;| f2O2ۘÉ ~Sy!l4E墋t3͡ {}]49R+-)(Fff. p:,dȠY0َShh7jKrp&gbNSҖ9=>| |ӊ|t5Ր7:qؿ2ɑ+2-3SShl7Ni IYW}D:#lnnO+ ؛!,ch<riK蒸,L%A&XR`dcf)*ZǏ11=xyO?|O>}W[-|<M$2El<O p9!f0P?(wy^&9?={\ JJQ`%ɓ4[P /^7_/곈b`؟x]M-x15|!ln03o/gboqL?W#3sk^ZC$o ~\# _%iz{0׏RmץmEvbw=YwgyØE\Su",lbdtE {{s;BSK:j8,e`J_\" [4 ~qxvϋZyu8ٻ@S;gK=X3zuԛiB6E-G4oK|L\A췶=.?>@3yؿ%Yj9 cE_xgrA/ e.Ek[fG>׀??;b?$ 3ȉĿ|=q$ᔓ5Lea.|D T厢97>"e"77bK܂|$"!a8"sHMn\_C: 5bnUE9HA qinncCd_xJ[v #cؼ1O8;Ḇ/|,O:s%h#ҧ1\LQw/ad_/{K[-ź5QK-s_9M |&|>A(?g~kϰ18Mܬ3e}<EDjɻnsŗ_⋈K 9Ϟ!<,d啑E&~竍u[%/}1$;wIbD;"Omn&;M<:^=u1mE,jnj)<Vg6x Cd|ؕ)3+ݭ4+ďL9n"\^b=OOACnάy>{ Po,cCRM=D9vP8CYUڎs^*5U0oJ- $wQ*0/$wd-;KՖmE&O M#S-,Y4<$]kVCz^gzl} ۰˷ oXutn0GcU9ƻxmP34&hx\.G8tQt-sG?!$Zm 9l-mAq'af!--% i9C>I`'dgRR 3V鶯>y 󂡩5l'^ntuƥ1xy{F:XY:̍xᦘF]H M䉪$O b&M)>$2̵`w(6Me8 1g0Iܐd}O3|_\_@Mc;&olC hlݸML/09Gj Fynn).A[C%ct ~4eQsnф!#-iQX&`Y"1)AWw'4f& 5&U*^w @Qu{./L"p6S~@H@}iJ84ydb eΞ>,|]Gv~bXT'^ƂxX~1M#-oNu-qɌSkEcM#jʫփ6tu5b '115wC*y.# G%?_;@46L,#1|_h%KM V161 abzҠ $w8sl|յ)(%]`D$P\H>IqHMʦVJ,cbzAKh2^32҅?ؗw*{^3,SC8gVԷa7li4`m"b;ݿ} Ok&yPܳaF™ hJi3BrODƥ% |4%.; -!Zꑑx 9QW”+9@89OhJ 6p)w|WmT<&~,LtDQ(2]]񘭹G̏@ f*`JpB9 CMHے7NLKWVG 3#sG߭Q^^R\eh[$qlu Jq/ X4Ť1G<_ibŒT5y:#] UuUI;Q>x>D'਌21J1VdE P`Wf0<2?4+R[4-7Yhǣ'ɁXX'/~3OI['0:+/9LMI)K,vn LHK17QjfATvfAF )"ꪫP^TNt6U Rx]:F̂(/y nATTEؕ؅aXq1|yr>'C`VY^vn!b'011syŕX_iID9' Q Eshؚ]\wlx&6aj`WcNI3L )!Z׌d@W[)K1 jP7 m=Rys|9~Oft (߇PW]LT 6\`_\A?^ttOmjyXZXȺK AJRQd%E3YF&yv1<]G/Y%03օO617ىh}CC}h("=q<{ E 3]0U9'}uxZ"V& N8_tu}ffK3:mb:f7`T<s2rpKtN1.K}:<Џ vܾϜg|sb&3ڙSSrL1MEI{X:Bt k/l;bN{8~G)#%2&'r"xcBS|>X*l*5 |X؟Q|Qb|FM>xG~wfW:̯7iΗRUӼO|Iqb:1ELbwybp]=(/)Ao{S5 ЌZKQWԌ i`@"G֟gbhZwGxD0ǡBZK>OŠ+0 nRmHV7`q>9A,UxHle w]5yEncSWQXZT=h<B#xwtLtPx0bpE:#>M絥[O7Q?ž]1 <yЪG0_z鯟cvP1> `o&J?ď]x = YP=N1WpC):HIL͟Ԍtd墤 025ƥ gD4W"4cJ1$ܜ젮FMnf?/yʂ~>%Y#QYE/3{ jy z8*˧}њ{eq?Pp8kRc`s\^8}JHO„Tᗿ-&f7n_naxS05<GGYwB$9-ynf,Q/QN]̨)focv:fkJc?DJ KDr@oK5ΝGMCN'DT\ >xS<KV#]<O <Yb_솶"0&<{iy&ܾs|Ͻy\͐/Í|=s$K11;"\^QܓωE!^|9u`b[0yr%֖Ӎbjn 5:<yw>e%yGOK0?w6%=Aum. k)/C^N 2CWS{Xg>_[_o-ؠ_!S ӿ" ,`_Z"/*r2Q>WK%0,uʲt8{T099 C4y\NWg&p}U<zfY %@~w h(+Hg,߼2M)J<n@u54ޣi8u O..&,-⁎F6t 3-.4^~HN<OOiBQ$T\Bʥa GQF"Ji>.Dh7يB 6aq|Cxx}I;7-#O0Kux{6wy$CuF .8f kTg62f44X>66&nMɥM44]8`EzHutK!qc4{^1_l\Nzt|JZ?G,X\ @gS5j˳p}u=eHċX3054FBB"fuS3ؼF@`žxQJ;%$y-,cctN^R)Σ`g_|wH-IbɃ*( '1[q$6P/--Ki~Ma iỌw}}$ar2sBg $Y*jc .kAksƆ169kMm&nPl6+ .w KTSaFa#H}rMsQA/=&fQ+,SW3+j(BgCXU mEhQ+@C ͎J'c4biY7 `LQ<=w^V6or?0CKS;[*0D J:d $8Z[('g)kڋoz=Hcl5fCWΞĵ. ҳ8 g{̌ yb)A:A&q4$TBYEC1$ BNz0Z* P rthDTGpDj+1JI##1uf}T$,~^ΰQFYRF*0_{_^VPtG_ l5e '-@)#t4ecz ]&_}dVhi(,GG ZeS 4mH.1{Im$E,-Lh3 3R,Q_xA)^*hW1608DcI$;KHK]:b=ፇo#\*vyX11Mܽs SB4 O?eb\oh-&y{(&D5<{!Cz >|vw֧>E<N@.X^Qm|^2#S hhҶy/&Q$cJ:id ŢPh?y|\Q$]ks|Ns۫h,$pCf^:/$^#ш3F\Ya1 </"\vmiju[q\Fs' nꇮ.4U`e`$ 8GT8$s d☊TO(>k)8M%.RLg14:-caua3 j05w%`+.`9ouar-sp~ sE}PM{",,~HsD/[8o~4g)KuNa} !\NvAgf1'Q$"%55 Tp>.37@AyV*/yX]uyA6BcPSb?- 'hAMi>ftS#4ɨ*˂Lɯ%!.?X|фwkP+m6 D#)gI&, 6 ׌513'4f9a\-0wNcK72q+]b6]@O 2/+c@s~yϙW]l9>>\A)O^D:cmr)UtF &ijiؿ]/HMay|7}dgtt| Ķ\bXtcއ<5ܸs&_`1EvRϟ4 }⣷_dlҀޠ^汌M`;<2N1yxjXd4bJ+[ `?[4s&ϨIΉ:`θK}QSOSI 7lbFC/m`_cPa&.&'0/yW,E_歇GmɽOpClmErq u|Ѕ2tt~)ee cضcIWQ8"B-3k$%c1"fK"fy.H aEMhlQʄy47c3C_6}T&ڒ:,c卙c~`wQ]-Cr'] MX[H[\vw Xʖ }/-*D vVvwFshĕ礣 G| :4a(Af _ѤS TWbl WWGh[͏8 j*w&ZP7WxدwVx ?wΆH=@G4梃g`_| ƨgױ2s3#;4709u3kSY*c/.Z@:Qr4++4kks_h󘙜&ujd9Pqݰ<9Kxz - GHYTy}g33Ǐ7-Mj_q|'obdq>}w!W9~)rSC|Ϗw/ޣuچ4(igFaTWQ_Dbux& wc_g/iŝ ˠ7 ⱵWUan` xt oP A6;IQ$]ÝS|ا pk wOM/p㚨t|L~U(ezJ;#5d_Giq!!Gڵ 2228p`AQڇ'T s cdR KJ,IXZZ23ƌ 1X V<[^9D4JW._yNr+K  ܐiK~m<5Ncop^ .Y1I &1]tP8xEzRR~&R2Ν@z-Q'pA=}h|S>8E!alfA3e]S>@BI@S bt]keBuԗc e ! wӀ$!"<f}LbPWx2dxछ9BO9!%lp.a 9:4 LҀ04 bMhx ni,*DS0WAtUR8 #- LcIkhjLI&}rc z&>$Ip. U(,E,N8Kg`nj&=~̎҈NLbH\ǽ; bͲHL Lx!DmYqzWA{OH&[ݧ}' zh 稣wv4(h7\f$>HB'(ZS\\jnP4##& q'(7+* Ɲ9ĐT*M4 apd d5Wp6<5$q' *]cŕNay QPRT75b{I$;0?k!$q GQ8Bsp2G (yUYN*HzpwB'*c!FG5q񀁾?߭4bE@7Z )B,» Sy 8hj#z֍B?5##9 p0TD֦Z ueğ=zd YHJN لصg/.0WV\ _W;x8@Oܠ %uuJcC8%-C1IaYBi)Bq%<L\Ѐ_F|/<S5+ ǫUxg 5p"]5(tqGVZۑ|ƆC 9L}g~+X20XD21Kqϸe\ủu4M]H-(n˨)'FsPAr+a X-v#όMS+lb;ъҜT;#T#!>yJ@Y^<D9FQр3 Hx,]u/-D".uk442A^>4 Qz` uT~y {OL6H[=~ %(ILF}*1*D9{N]~fV0,)#UP +[8j >|^KF'li@abl/^,^_UD!%m:;@#Z OtXD2<02QuredHNDAi4 tgvTn&q2G ߓص{v %5uaWR2wd7tc;3+}€x`lKs)Vocơvΐ~8ЌV&O5D%S}MXlȬjYXEB(Ar#N{`J36G nMgVWV¹3ظ&I6Kۤ$j M{pDBɖ"un3鞀 STAXD =L9_7G;/1E䦣͕(ؿŨ*IE\7<&k`$V%pہ2DM$8E#44!GUkE n qtE 1(qY| )m1]W4 V&14:6F~KiF ZaΚ0s: MO?ogrs.DeYGSY"O÷^"'I\҂)^jA avf m;- Фiu6EX[/bn}6o>zצo{oQLIؾ]^Xr(/`cXbRr_L=1^p҆9NYZBFAgЛSPK[ih"'-m`( udġ>7Oolbzdzyr2ɣ%434*k} }@=rz &s>(Z[,UlQc;ͮ\fTS'-}|qTqľdv U%;c* |{톶&T5hT娹`icǎSLI~X0:\ehTiwƶE"~hD`FtTOZő&~>j,TTP\s8큙6<boʛH*8h࢟%,QGAIIN2ꑓ}1X(LLMKEcWVR9,M bm O[x;9:q:ښ4T GCU)FZ`W|\Vd_@s].J)tdF~$_Ga(_GhHtEEb=wuA_[mLad?K[Xb|̐'GViP04L;t]?6%v" ?EeM#/Mz90RIPNMaqjjuṣ3hc] 5zZ"}-9|=\τ5/h% vv'ԼI'b7bW5z /V)O?yS'x`#}X^]'vWf{}qvkKRU3?xO=F}q1ŬLMSQh7b[ ކ2,Arli syv!?2rQvw0ۋnѝ{!̶m37K1 ?@ƆSq}mbM(z{rQ.dJu Dwr҅Xw#܍@tu>ܽ{C^_F ?&CGTTRƚcXXp?9e?*-њZvrq.<~@ ~ylZgV<]Z]z<ZƯxz쵸eSzfŒ1i?/4Wq],q!:EbK4U)8MqɈ C N9;JR VSPljP8*7'[ Qx>,|=IPTT*PW6ȾʼtQ0{"/sX ʲ+Ks@_y4Q0xs}P䎪9m'aH?㈱\,<+*g6O/̰)U56D ȯI8{LZ$o]rf5dg"(*B( xEYH9Bs}I[)BsUKq"6&D3RɁib'}-YXd_+֠_YVLBB7A5Cqm4574 b%~%ğFGG-2.Cmx޺w *Wre#=+iLq4<ed"?/ WI)\4.Y"QW t᫯ CeE0VL࣢b w& <nGh.SUeS)C=\21B7A$ (յyhhv!W]c,)A bv_0cadƍT)jO:t mS(+C ϫZA * ",,̌f; wGaAi6y%S, 1.n;{9rŌ y~W㤻?߮7TCn, CGb9]Ih_kdWvR TB.&ᔽ:왔Z8>h*Ƕ *9SՈ!JQaO78ˋ\5!a;(+^& cE¡}8} E%lߊsgOc=8x0p!)09`L"(هKqXX^X+rSN83 {reQ|)j/"5Qx ).N\5|`~2s7""ZDȢ4X -3YΎ *`le%M<$2{`a}Ml!krL~> Abf*BcB UN8wb Bh'<޺=(H4G] B¥>:ԇu qy,/Σ+ B~<pt_7Ͻ)q!! ʲX'/%d H)ODǞo`("+8Aѧy? 1giYYҾ1!A=u Κf\xf|L^jje x3= Nb?M^=?rElh@/Tw6TγO9Ђ y4ޅN׿Bv]s?2M ?mA7@VA.+͐(d87NrZ$JaF>۽Mڿ {g2"@SO\ 8sAN9傸 aT,[[xɫ%o ÕaBvMhخSiWp@1J.Pٍ${x9( #o-O7-pCcy6"UU8 CamnHxyznȓAVC@XH8Th2dGD[bسsБC8 'WwiV }&:8R[#Xƃ[Ko=MEai(Dq G`;?,D]j[}Yg殃юx|y+S-C06HS򅴜Bΐ#E@CCLmЃkWQ|6-5ml9(7~3CUTCGc6 .0p;{O7xRf"bO<UW…8\MTJXWد͋G^i,N|%kZK#4 0@PRtrIV-M%Jf 9'st3^/FCCzxzg<,<: C`DX8Gd,\6Ju<=DShqT~Ԇ-0'r l)j>uO㰠Pz} Nl C}vj'`HpѸ|.e4 KҠ:(yN]twMXBk=!ۇݲ-ز a޿[Z:~6z;qs_"ؐhl1v8v#񈬂 vێCGS;c +lj}Pc8[⤟+Ν=P,™mcBk2HՎ^i:أ cp,LVvBV# 94h' if ϮV a~Ԫ<hGmT#*:JfƼ oO/Xѣؽ{7v7me~uo+MU5غ/$`?z!Ǿ0<a{, r)Տ 3%x8x6[hD+uJm<N㓫x<QKnļ_y >2{k I 137yU,, +?:,-+_jU88B^Q?JxwT[ 59X4)S+ٳq8Jċx&']PWK]k#(+83X^D\d<q:1 㳳]igƒfRO2_ȧ;]ɱ8vd7~'>{y y^>z&+sz~@DA! G`/"7"6"yĐ,B `Dv쀳,*5Е+ƅs7aݻ갦pFHLtu $NS?TVH/-aL<yXcM\ŝckA?Fs/Ç{صmvMmu桵7 ywg|W7 w>GNNJJc<@o۝ad }Cu!<|@[KV0;)Oq{=XCP0@-xM=N-`?~JX;~HG Thw'&lh(#(d #+ľ}x0bǮ=q+a޽0=2}=EţػgLpDuU%~ IHWG **8 03҇ ^޽O޹[ø>ߋ6Tơ·9Bqo_zL՟Cg^Jh$doabx{1Ey2 sb0((.@W0HދƖ.T75#:£\p!) %p@v64 ǡ߫p\`Ac.Jif=\`bg [ w8A@HҒ PDOBe-rgp1>Eix;xr{>ksF%-xm'L<Wb 7+Ȣo)y n&?3< QSP'8a|ew4r)> ֎vprw ,axs1 $;WW$&%1183f`jKN'`K—"F!D83#^Af:H7h"#4ι\s5t0Va`lsh.8,/'W:EU&C9&nepT0TdpB_>~IfH>lBCe N]$4 =tHSV =)D15&PMC+w]Ō9BZB?# n1~ o;c>5#Y1c}hȪh@Gbdk  Q~D:("Gp6Y^AP'wmmc+|7cݺu^c+؉:죝۶w7^gj2`gMه) U(4&&8&{&t S_|#m<ݏ<1sm@\33"W'5>ٍɖTEr3B\t欅@|2((KQ3}{ Q1e bb~mMظ4~Lj / k ͑9:4J47TZ&p tJv ͷ7EmQz/jo۫xzk=/.lL0z[096~'$1;9z #A^~}Vpse2Sed6YXVHOhŏtLlmob =##Y@А‚Bez+s\pwK+\lj8pWWIre(yݛ m-Иx Scp‹aA:P_-PPBeiʹP x.mWCLSA ô0s swrezzP 3Ԉ{~{!+G!'PG1cd$''f:h+;{iv?dV'4|1e+H:Jptq{HSHݸɹ XaHM?$]rrW*إK~9ގ&L7PTFfY N2sq9Ju 2\hLӽϞ"&EY&#-ޅدd0kvl!~oؾMl۲o[c|n MqpN)ܨ(lG{|*́]25a=p?4 fO??Ҏ7瑟~C핸ڴptpؕTCR+Be |*.b %9 ͼ;C{e35^46 ^ޮ$,"M]qDCj8,{b M-' }cL,( :7Y `Z8!6uRExpmiO.HKJCWG3Ɔ_R*H83fiWWϟƠ{woނŖbV +c񴁺Al, 7ibňrr5 ec=sK蛙nbfc #hjEύ5κ9#?I{Sh(]KfzPW@!Lv<™͌aI}yJ6k@BPtt vm4WKE!/ E{s9yg' + ,.H?t,}~惐%enQGBQqr`f HH@b9ֵjiÎmi{v2fEpKw+il"1@[#<M.cXƉ:qu&7;b+;qoZ}F>jlg9n3'*i~Xt."Ngs9䁅VY7_FdJ.c~\Q~MEԦKöy˛[x޶X< bnxu>khM=]Mm,񅕕tE-̼۠J_!wTIAf?R7C=U/߼˜|]'.O&SxH؟kNR˳ |xWQ48m`|d0?քt[R&^HAGkT`y{Pþnho܉`i)Ax1Uic2刾|Lգ&QW`fμG7E!#+A}}="#J3ꆪd|_}4_zOcnUEpIrU*:{13;_⧸ɼ4J PP ꟏^4Upq j[{W/[h*aae^PۃAQ`jĄzA<Lʹhv-agi+c+N)99:ILPPGG8C-} jP>S~*12@u}9#iq!zp:*}?GrEZD,pIp'g 4!9z-6=mXۜ. 's3X[E+50u /c!L^GA_ME 24a S d 1o]n Ŏ7vb};%{ MUWNh#`bN= gxadVb˳k'G ]G}_ۄ@2raد]ء+3-<6|8l~6 [<w$CFI%"Q(Ɉ^4E{{("vN18{7܍7ֶM5e?]vSkTQMJJҀdB]E *$YT{+(14TM 5  //ǣi3f#> b W/d9nb> i(ϊCYZМ[Lto-Js|Vމvt wtm/*FNI Ex' ]&% )~344D2]aHlfk~pD>QgP][sQ EYqv'/ε%&nK(`msg0шn,MP a 4S-"ϟGad/! ZHř'1ۄei(wҀ3,`hs[k֔fB9Bt Op& RO::F<UӺz D:NKC4$݆d9 _''D{#! v|1 7CZj36>FeEzGfPQJn 9%;|!CS<J2}i&qmy)oVZNQU☼0k?18dd|B prԤ@S, F44We(Cs]EЌoav1x{[XC<*շ~5S=FAj* ^_M$ {kC}\)i_S9醉Zf;0RP?.d <Mw`7<{voJB<|?s;۶7IU ’@ vm}Z8-LʊJ oB7h vq *{;;O?=&N \m,,>ܘiEW]& E)JS^H/^^TT3:Ax!4^iBM:PTUL@MGg`l ;2n#8,4ц8rd?|<,Zqb `ae '7w9;!̹zÍ 33}g'7~^>U;ҔĹ.dd 8vpoj*09܏+BlT0G+c\]'E c ڱXGox*? g=akO;xzŽɂ|fjϤjM`K[[Xk45З=gLo<7a5opprd"|dἱBi&"s_*\'w,Vz{n o'DCKJl'}eDz_/J#=)Kmxk ؽo;T`.&TC@8?3+MXXTi`-8&w6fuCbmرW 4(wWaϋ.NX^'-)hU#"al"gn>j<ygط #Arzأlv:1?ڈCӟZȪ0^+B1؇#M58iDuq6<s]:E[}6Ltxܻp߷w4p Fa۱| ;NAh< x>myFZd xc olycxbTVع50ʐ_ #mu#_/a"2\s.BW&QJ37eRI^ P$"/G[{ ZZ[78qF{`eHNKC@)fUĝo׃5"A%8uCs~S>az45PS܉" ޸apv DEE͂N ^<k|[4}p+XBiV.͜isZio$fGTU^rB+K#,/M⤏35Lh`'I3^Wg{kxya|L*jg //;xv;,aA,ajeB[Iݺqy29X3C1k s| 5h1+C h("T+/n**8#>> p7Gt7.Fu@mq'ߋ4bum} kkW1~pQ?|톬Ȩ~f5` #kUoe:A=]E} K3 *a+|`eC[U_2 '~'P$:3E@6  sU5c,cJs_9,?yGTan[S=\<Hrk+qc_ACt?}Me*:FZ.Bd`?i={w`7ewoJ ݱ ZNCb| 2Mz$oyc+ut-[߄9YoPğQj4\!6?GϿƯ~ >~y *LE 0Tb<^vtfamb>RbN81xwL7BýqmJ;{QW"9##* 쨷Ui:!t qh>>7?ڂ"c|-]ӧ* ڻ9NGvi<_~s˳}ⳇ6̕9aQc=W02ԃA tA=a`|Kq̔16Ն`\_goĻVޣ5L3DB.﷦Vu=ua`}K$ggJW+az(|/X!y'c P  w ?OeeЃ)zkl g L8dby?ΌPOT )X]N8XASEC)fc?Fpp"tTՂ v<f7{7E@v<&&vgB\ cb~]%[1߇0'$eFkg f0%լE^Ak}.ĹKojU" H,F\JTxo]ïzB QzBOWe}g0/g4Vno Zj w+]%@-Y9w4v :DuHz\*ؾGQ9D(STP`@Vd$'"{1 B9>w ܜxLbƁX3v<ϿocnDnj<?\I摾nq<Snd2vuC\T$re 1Xn<P|7WgKݿ}3Auc rWk{+YF^0"iCC_ǎЦIR<Lv(œt݉d古q:&Պt$]A|;L7Tsx6Wl Fg!ⳕ¸ m]k4E př($?M B4NZQGIq ͢3]ͤW֥{:"y5]i(lx,s2 CЉBsH WaQ`,D9EDŀ#v?d8s`眘-TQ;.tA5 1\>SR…H}T7Y\.-C{p&Cs{>!c*rPP#A4ؐX" }=8.m-EhホVP9 G(@AqehiSx]ҀSS[D-S#3#/En~.ʫkڎ\G=S\C,GD,BIa1;1#0tO) acO@ں -%p! $ [cR;srT]4Mm<&iv;s60c & m[hغ~?} 2h4vIu4o !;u_r6>2"GyU J׿/%?:~!08WsmX*RǡwB AOC5JS.R V\(]IS~NIJ00Tq(C j{FZ48v~8&F{C a=㰴4hp=Nx#ELO;t/LiK~cq~ '2Y^Z c5CY^&9͵1ܾY"6*ܒ }Qyq<Zrk@x'OceZ,CW'w܉pKsR*"ڙ 4<Fb=.y䮄:@}gg7|ؿaL䂐#GKA?oɳ*%<, khށ ?18hPo #(lقLC8c Nu#$4Vx퇯aώ]8x`9]m'BohU5ƞ!b_\Pŭ,TU<CCcבVLO> =U谯yn. cFʰBd D )q..F(=%e4mR:?~(V106bqoAqq +05Pk4_ }77bRzBon OBW(,˃ 0>Km 5۹M #61h N4 ᎭJqKk+ͿC 11Kx-Wb vSd3۶8rp/T8s_ /Q@f>0R;  ")yu[ Gok#|:~͹ ]Fuy6~է6]iFbJ2<`hb$ dV}m IV4;$50}]W/{imkOLf8oX\N\0o!=5+ }O;/c~f}WO `wW֖ vס%9h*E_{{kh,>D8H~mu>9I羾<>ߋ߹૏7q}쨍@?Gx|SOY8Pj.3eSvt@Jj ~c|>c*!y=F T(맩B0A[KjE j]0ۍ@o9#J;(*G`%q~Nho Gyan~vvx[w~{2d1*$c2į:qez-c9[64BE}hT堥`Sk1((KS*^c<r\-x18ط*Rp\ <=ș(E[{nDLT?~ ?|CshFkP]TR0_hϐWR {_ƛnߊY#mWi?Imf udw8 Ml?q~'߷o {6[_ǞqFEruTmY|T^>{; deeV09Uv>g1o?|fd"6fserЅN(Hb sӑ{>7;1ؚ(*|65!%1..~skkAQ]JԮg"3_]m} [:{ ʌrz.А(l?ddg(jd'an |~>yyO?}q5~*zkD7 2񝅮ztu41(*N=c6 J`hMj۞jAO0ӗރ8(8 (Edc +i'CDYvOs(@(6"?UxL*Jf%]%5}p#nPv~pD8=|YV w'1یade`qn.4[~:;QٿTNҰbOIE熆yY b2 BU?8&D+R2҆tsJ=M~wO[УinӞ'p1)Oᤷ7RQ_ق1ܿod&-U| "4J)lc)Vhc)` Qw9Yw n ܼh$){ci݊q졡3D3QH %KsC5b.1w\+-U bXwO/k&+s.NPT`jHNßK);=M#Xs$6ChB_&fRe5u-Ep@0{5!1 :ʤ 74'Oc`lU050  Kݝ?| |0# 88@rF&A(@WMKQ\pQ2׆|ԊVIIgo٨BkKcmy qss|[ǍY|k3C4lN@ W07܁7~Y$ FJ5t(lPZs$/k6fCXFvI҅q&H% գ 5!!$PxyD^ z“_P:8&@>A Dq<psL((H D-$EO] a4u HLvFn^hsi5 K*_b KFU_K^WN2byޑAG[&&U ͑6̡LT |9P h驱oaZY) 9͞I.ƈNpuDžgPQQ.Ӑr :T5H{ԕcSŸ3ߍψt܉L&:Xga1YŽ9^K2=|jM@q&"<NNGx~9ر}d vv4o`/M~Z)^ y;HM!LbBcR} ? _Ͽ/~. rrjٷf4JLƖPWSǑCAtp"<\h(pn`z}7?alCB!#r?qR,|}=R@8 jPc );o.L7ʋ`f! oajow~#22DRNs[v%+257b R8Z5B̎7h}u4S<G"#P]m4 0cӖp+.DQ`)av]Y'jiN"^.0S8G@P ~8#̠?IDc2ac+?yE c'i•i4#h )*B 8Es}TA2 ǠyZζq Iv .w D"Ԝ3)<$l}5l{u5)+nXzJ^[?Tī! E.B[_6y((2tt )!4Z= 8-: Čpl-͡Kj``b.UM#g0U]܏?Ƿ[,]~(B_[[ cç1և:^0=! jy|ؾ}t5q X)x5DЄ‘qaiĭĬmR^xf&f:@h0y4)xA>3k0&!??K%;wPrPkXiBGY^¾'GID:hģo)0$F=!!1я>B|<y~ ."Vv&^"1($.D{bWgQRc}u nX^v9r45U\@/S/(? /o?g ~ߺϿFG_90:\L]h-A՗aqr? ~I^RtLTB_N[#C<p3͏ux)f¤ͱnsSM<QkBZ owQT?G "BC }غ4ԡJ|arWѐc2W80y,s7{EEh:H}UQZJr WNFDJYdtE3O^*۷nQUcPT;96SQ|pP iVT]OUz%x{8I"-yɈFFUj }E Km0V<OJiIQp~27.R?طد(*b GIy%rbTWQǑŮ[܉[\cn\^Aāٜ'hѦbܣa0"`Z@AZ'=v;`#w`.=Ky?*2>xJ3 ,SWv@cGE>5"мYbFo@SU6SϟG?ӟ~_'䣗(˥A."X[]*iIb 9 OGNLz+/cs}1/01>ζv㸪)K-B<OI!6vf0'RF<\hnNHMaI-! =VZ&;<ԃԔdի_kKn3;uf^ F;`fcm5np_3nmK3()Lh'+r0<ځ|kQEH.&D(gקObmipv2VP2 beiSu &6D8 ϓGMxiQ9?a$TWQC8c ^2NSa? Svɣ&] vq!++>'kُ(]AjEjrc S?e^4U)cGBN0탑 g2yl1zb_c/L̕iMg=/(?M`c@L샼 - ,`j`w{ZzIvs \L1`mD ;} 2bfpۚj!ub[X\)z6ii[ 8煋сL00Fhhh\U g<jxi}7H D3dIQYij8DؾF@,Qu  ,;H{d Le 2r ? ۿ|FA&F: L88mq݃ &v;wX:E ʙIhki@dXƹ4U\C[*4 'tilii(f@P10<E"S[蜂7E bB}]b^oAfli K__75ϛBh_d]nOcE뢸l@t|g@zkH7x|+] 8;3| - %Xl)AMe\nzx-y ,y} 3=HOtG/1hhP=qNmLYjJӵ)ʼt$=`hCdhd#u2pw> / řGp,kLUT 5Ѕ ܜB`O 5( acuÓ,ffffffffdK,e1ǎvMڤ)N;3:WY}1^[p}vNZwNvlaT/5jowtB4`ba6V%PXI-jK`2۞@/aceGkgM0Iru5`o[<,zgOIiX?RgAD@ݿ/oK"ɂ6Ms R~.W.>`z_|\,tu[ Ɔpxn;͗<W.=,3o[:0G33%bhi#6S;ʝeKdTB\(_+J(PB*Ss '(2_`>ɉL45ך'/O |o?kMM`a(ʊ(+/=4jJvGqtNr2IkEbko2 W`mڞf Ңu )'s-,WT[JzRVdűsGg6;=|= ̉},_: Z*I{ӧSYOV8Mtn9x_1gNlݽw<xčǹwGnf nbtiX{1棫<u_m]WH}:ljSK=ż(~Ÿ[X%fM FNb,bM܅D)%D(SZK(@-*f+YW`(Lxo2<DgZ4_,^ Rx8lgΚV3R,Hr1".R<Њ$"#NY9o'u\s}{1 s^(Xb:Y$.RexLl?4I`a(z FX^*_O/3Ք;! 7' H!JAL) ;WfhE c gx7xx(3^}>|!bc"8q{'@uʢx܄wM2o\ %+x ~55ĩGe1o,X \LX7w:(5PG/ZP T{-Y ,[H?W{ 8_,457Oj`/_~ןgvo։ x8a'+籢b\\'#5J.:͛-m;MnZ wo]fݝ:ZcRUKݏ0-HG1>u07XIrs҈Nc {|]\$\8 s09'3 pKx)Μǐkד_UϚl?y ,} ($1>Οɹ[9K\\ŻWq(wVóNp_DaMk t!φ g7Y<Q>xr}{0; ul!m*M%Dc+Jg MdB&輅hw. %@ VDkŰ/-`rrg1{`)pߦ E&&)3 \qak}b="N8)TK8IzR0anT9O_񼜗O pWf2@C<u)s%Ζ@8N#S[]LLu<m &**P cf)7sITL$F؈~hI10Z!^J y=}$8%>͈|~, 1V*b0)gرYp-~y)1صGyIwym>)Lȋ߿/\dG'78wM6 'f6)V+Xˡ{hoZb)Ļ-ߦ ,_8`Jye<2_r%,1ڊE:_?~7P]8A pʒ`r pr?Tj1.;][m(ܱ-=8E~Aiq~1vvYX"SCcԹUze[F E/p`9e9#8O*Hu?(}z VM p#Z䡝dF| ԋoP;mOnb3DmOp.)%tm9G6sI2܍ueZ. YIFG%'o#ڹ]ŃG:i*O)26\.>D ڂwey: ɈMjJ,fTg 'k_x2#cWi?W~|R'[{>%`z,M"BS2E0ؒ,a|$Hx,{g="rgOJJl%R'<zwhnΖ<R ſ>~hhs՞EfZ(mxPw1̟Dc#sU :دSpp+.: ԛZ+6 '<4R޻?>z?ƐMlhC=H 񕐚.kמʯ>x#[|Y[֍[J[%PO_m<(+H%0_^9% bB%o/'/+Rb Bbu&? CA%ʣ:`TR fK-gT)` :zZRCuS?|.Aמgy .9(<Jw{=5e4UURS^IIa5\]^n_>ûHܻas [;3H1UIBt0#Z++^WkE"c@ٰFY7c}eąz@H+ardyBKҼXR>bLXAhZk<&iEvܷ\e(9^/c<yo)4%sQ|x;yFzkoPPb&ʔs!&lLUS|4Ƕ0`_ tXZ#`b-X&&*+' ? y* 16v2\W ^mRkeAe+֦PLB|?`r|pJ/s3jnCpw"ˆ4b T>n|&B.$DJcS1.z2}t޸BcҠF_ Zz"hKݭZ,iZ|֐P%{xبK\TY+(H9'&"7Bge:zg }B<)-+JBRl(&"`!/=UiEz&3<ԋ!a8a;w.7_ F!#|} ,.D2 <=p'3J^%؟/Vq}1 2w3[3=1JCM3zyf!o|e,Ν$hkk2wl ʣ:@.PvFPv\`^Iel8O?~{8"w릫ֺjjyOյʒ ?~{vIs+&oƣqQތ?LYr2zFKc *A2]$#>6n lWb-ny: gqİ9!ng%5OT{cHvİ* ̝I1!%PN>!O{c<cbݹB}Y.4GGO\\K'vfpZ)!@okBB@a$kl'x6‹eu9&m kD, u)b )00$K>Q`hBUz$iXN`_WC&/Jjl'HV$Z H/" 1[cO۟Q-R_[P 1Ċ5VZK ?%Fy=1%Q^G ]ʤ,B142I]a.a=Xww /oGԙ^r㢅È &&> O|"7W?fR}%u<7ܸ|\_8wXjHY^$op+<q6M}m&/͟ W3V֩{W$/ZJCks&K`V.fy f@KCKW֗wW ./O)|lV9 /}em??[.<8ux7[7nu'm6TS'\_;x?eq;8g3Wsb ҜlqrsdhMU?t0 -& J:6=ӂ*77qjS6ݭ pu%˗`yX1߇0 o+uLr3oxzixyKhQƳ&:Dw%9_&"'D%'<>ā<}Y~MH b_Gλݗn}墺#Fpj`_6$ML)&*دi]L}4=7TCq\$-ѠČ#CR55H\d3?#肟UZxGܱ><T:;/|Ws3R?>+m-Z(Yho}.rǟ>W>/_S]^fGSD՛V˔RF{o6&(;)Om|m}cS%HDHxחJh^h=z^|7 lEgdNJ #.!Oѡ5L-f@&:N]+%w?|gabc@IqqCpd?g~ɫ^]GQN$>fj0V-8~f̜:;k*mرe5y)fzZ YḤ.Tg +ʲeQY.[s˕g Y쌖 }c#4txF^g|>]rvۦ6Qg64UQZUFjn.c[5 \ط ?8-|x@Ÿf<~pH'u J| ۩*DKs2 h+Qt6?Ʋ(?]d7䧰mS'0.>Ԝ@{"<$.ؗS1$^_;eT &+*H&؏#< Xfo\#Zf%.ޏPԕ&'`O/MpՂ(6o^O)NNV.rz'o='] 3p#-) gѦ@ W f4$-˙ʚ MN$2v=NKV<o ňNL%XE\YhJ>YSJtsdmsl&5w`|-In._g Gĺg$<<L2UF_/?}L]uϕc+n3DCsrey% Bc6v8ɵ44\6H45OGjJ&AFF۫ϣO/'y1pt6WNTRSWFJJ>DG4{oy`2d B}_C<Nnѥ`s/m<wk_S{x|hYgPOeFi:l%+_tcْ%xbB1 ,RX*'_4@ ! ,PB@o-Ɔٲ?sWxr< )39'a[emOl縘pQ_:JYE2a6!EHhdAD u30&{ l-/N6.nd}lZ]Lou,錭fT'HO}A<eٱTf dT%DCGk=}ݍfqpx!Q%VbߎWvXUAbl+d9)&$(ZJhm,IֹQl\ÓoӔ{ e돟uly7Xp;RJ}5q4@Ws:LG@vW(BJPWR-  l/ . zqr(yʠ: Jr7QBQ,H$+חjO[E>sO{AbwJ@7#\]C ::Ip"X@"6z_p_{L "f&jȷsd!D;@b|eF ..vDAlD؉A }h!71P6Kq @@'kSBvA4W+J~{&aTjo6АNke"]9&*`vCϹu;@o1uW[Bs'fĥPIQra[cd̛3EHL|1gT}Gs fb3bdƌ7Od(,Q?Q鈬r̕]r)~KRV-(ݽ|w_[/;/E~|{|:SRÛֲq|6L[m: G߷['pr/%H}PۙrU- IN!!.1憜?q=6b*Qgz xpe7wLr`/{6Vrdgh6QBƺ*Dp׳sC/% u6RSI[M鮢8'D[ē*:Q)<;m$,qj(`@l<;J5 E֑̋w/n_f4U釞<Ow58üEN"?5Eą8b-o3Z9K =.rDt'NUQ-rLV dAȑO? Ѣ~搬m@Uz_HTk̛ s9GjTGj|.^ 3!~zZQSQxR]-zPſ,Z(&BSXCx 'KK3lm,sS|س|}Bp):LYXFK1[ >^.%nEYBCed,7bOY>6 `Ժ࿾$-C<߾ ?þJ{$u􄼬t)ɏ0+y\#Ԙsg3O 2xΜ*eEFZ40_ᇧEsg8gR&?̚1C-fl, r(SI0SJj21k@5;%(ן~7/$a_.<66*!bqx9==U󍋧샷)B!܈$1{hc*{wLɵ[RZsxAk88Q -h6"uWrt ${`{\|jsxJxa:uPUR"mѕԬǯpFIΗ#FZ9w\ #79\േ7k|*oajt :sq|t |YN"_B|`K$@._:+ mVOl|l *1Geד66mxf!0X8 n**2 r$ b%.[AYdh.?#'s 1֜۾3gHH$640gb왮[uSM ]^8eIuq`^{p/{NXSΒQ؛ahdE@@xU}Cx&WfZc+XONJl\:{HO%!Rre/o/; E k`b|aaxx!8ll/<b(dv {F*J,P~uax$aiۡ1V)twm\K꽗,'+-Dђu0imO/'؜!x~½̀YO?%8ޮvw̙O_ysJ>XJJ_8X8e|el i{}X.o,>Idrrk>}~NWrEF:ݰQe`|ofxp&8k+o\xw?Ұ/v.lqQ$FxbmåsGrt5hޥ=:;ɩ\˾mMXhn=ՌWpz['{$-&Xt\* aLt?҂8׶}"%DUexŠo-5SGx ykl"h#kNǺ61h`[e`}9=9DL?UEDRo&[ 2&)ü/^?ɻqf1YLlKV\1#s--e3$?ְ}r .{xJbV$YYρea߼9$Lg<|,'p#P5QA*܈Ex/1Oꇧ=xxSU/=/u?=u%#ew"_f=Z5ޡɬXSs]uIQrZڱ qXYيF}GB l<shNG`_tUކ Nx ݄O/σFXK_[ 1a yv4eۆyAY =G7.ՇOx,&|Qvom<wu/UByY%,[ A)*@N!FF -%0́:vHKFZ?s|yJ!!>F KNTT8!tKww1N^׮ʜ]3sS#u"|M~ͧ|C~GǯW%lSHT/^R4ns8HtG4گ6HLJ'(MDnWW1BA;X9 v5Z)33ZؓPs2[ٯLo(&l_Z鮐hOX2ČSFGu1ֶ,2'4 r\%F ^CS<" qMn5o=9xFKȔUUP\b|bD?}-<{ .W^W/brWm|X.$džAH;p|&^~IH;Z@w3LGrƜ8ZdX4vgm⥸-Y6+ + *G ґ &=W |/uRIgK |wu@EgY6fDj,—Ljj'~S__⣗ݛr0`MF|CKl] ˕Cr%dJHh)QS_OIUtюB&$?",@Α2aNP?g$H$'Kqy5%y*z'&$x~E)Qn&Z.!W֦ غ~-6/$__;9vpXm2ÛOΒEjl 4 .}|D.j%x5WHۺf@7- tw41ֶzzfUePZZD^\+1)rd$0ÂAr0X!CĬ+iͯןK DbBpsJ̎ VzmI"#ȅu442*A]v%!wM<$d˵0P&\1rVHH޽c;]Gu/GvwrZZS.'!Y8 51̦&R#K<+x 9r{(L 3$ÙDKm9RsY8&І}H^s8^IR+x\ǖt+5ɩ=bPRxA0Ex\@ٰO]`oM2%ܾtw^|7W8wdTlo͐~H01Пc1> GYC?`Xs,l%,xYpM-R)fdZm)@&|,<AD[{B^h$T=̛ R{ѤpGGFjj45XPW(ŝPow|Ĥ>go1[B\ܜCE%dވY_T(O```=tD`W JwygV"H!_9<G=6-#."@ѓPRsI)iW7y~,S '0bW>KVy t7WccfDWS5kۛ12 <<kl]'ͷ߾×_%?Ʊln‰iz^dbigsu%b-LsGIR^X]ĞmĈfx?'xH0`"ꫫՁ $&HzOJ$1Flyƺkdɼyi fcu7? }ߋ}db|puc":acj.fd$X_;m^7|qW p1R hW_{2j.ۧW讌!_H7gYFm\pWZkm)؞a6AMu|Z^VuGaf<eyEHk-0H],}یAV SIZW^.~Tm|R>ޭj(IgxC]_OqQ~8X}z={%pj/[.]zM*k}Ggh$)9G`l%;8ՌقE BM]⍕ӌI4͖2kiimK\xk+1T߀bMonaQ=mECOTeIN`Ukv1.:vo>yxWž9} i-F[2Au|tc~ij]ܸ89} N9O.؈6y ӁPHΣR<&Vt?(:,u=L_’xƚr:ټ~=q_qhnW_'߽{G9up=l)>~rXDp1&6"E b.^79!`?y-}3Cm,`ߎM.kikkOC']tR^VJMU5e%TU EKb~\asʌeڂO8_}-7_+/ $ f>G-,1p%/˜@Fğ*>Igʅ+Y%|p2L5T/s Gw&miAڛ3hJ!>Et&"lbӺ6)L4=du`j)/Ή%+%\]RECMEkWJ/IW*q״ 8E'OrRyLo17vs~8- _y'w./W?FkcV~6`TΕCYp8|ԥV!ɴ05C'9-{`-5 9p^Nd V3MRz*؏\gkMA%ĊokjaX]}kkcdgTo,S~vXz S}\A~ m wxC|+Z:5}o.؏\g!&<~x|4u';70 tU>:8hb1/Oy]00T03Ri)ǭow'ܔh|I)}~,(K #o$[ZVJr93p|z^r߿k8"k77DqxGxp76#UG߽tuT{G/ =J2i(eN :n`D'6fBBdlMU7] hgZ cڨl7nwfu Au*`sCWtGooJ;[2\(qs.,]U%8uɡNz;*0IPtb? mue4ooAVFG ΈX*b"ZUN1}d',E#ف?$`#K]R@o{-$FbEd K9A: r zZzuD{J06tIIΆv߹g?w^w_÷^@=[!pd1^w=!! lALL5F:8JRj(kt,lL%SY^v% ֑+[l s$XA\@尵SG{|uv$ɞ`{bDCi(8+UHVY,u/&""L̷FIusu&>0H)GHo1 |-޾{'yf3 I+{:'FCsK+1D狍+>^b"wq" l`=m@ @ V-mmqtަz[ဓXkk ǁB Ak 9x.KxR_$u玧!NRVCcy>7 plZ_$ `dO>z>x~)}CGI>~lWl:+$Pq /ԮILGSq<k;J-rfݛٽ}ɵعymSڳUp=8{ ޹5 o繇Wxۼsm\?PM_;?ߓw"ReX[JEahouzkM>|eͥrW\§"}WsFXP#Z̓7V89ǟ;$F9Jj%R\]R^BM}bȈ" -1c"b&3p6CYVc'8໺KxT"q @:fdnfifYܽ4vLǀFM^ [o쟢)/K6κBt?g׌aQnBCy<q7́ ^/|FEi̕^%ZyJk)KW,T+M%s}m$FN Ă]pw[=$iPPL ﺈsS ߝ]>=dGbP4D퇟-b^}H $I~.JPϿ}\.7sBWw.::pa˲E Y4uP7^^,| ւIKpiΟ=vj%';%hsPjXyr5RkllѪRBCފޙ%˔ b40^Lo,炋+I 6qp| 8_H#c#=|,zzC;Gľ>zYl\>*$` I]eq BMn"%$57Z,yqd6鍂Qodz|=73ݥ>޻v]_8g&Gy[<vcT_>=?9~|{_{7 V uGkB\lO^WDqHTG5maXtUꍏ;wUI[5.ɑ6V,_3O>N`O_=Gpy4D2]Sh%)ĕ1Z؋AØ+PwH6j19Ʉ%*0;X>͒f J}A7ce`HrljO ?K Ηs{[B7^~J%l۲M\SG6Kxazp6qx鱪+wD @Cs (tt4Ņ*{ч",A,_KK%[ka Mq3b"ߗng>372JrII"6((Dܼ0S(&@7<*!4>K}»O.qOBCg.zo"eE}C<lg#w_6|{d1% XRjH}N#`N T[Z%WIm8#a 1{*0" j i*-ؖM޹'vJ0$u>5~,u]ieۦ!S$Z_LCe`eG7s4*2éΉ*5{<}[;vL1iq&7 7m6Ą~v[x-n޼׮Os;7_p۷߼{{n9O]C >‹ZK15ҥ$3-u]uBɺz{_+7mBjAL1Żodf~Z!jw?ǴvJ`\7n qt7V_?ArmtL6$Ǔ(L$+ʸj*+rw aԀY!elD'c]XaVfV4Ug}cY A&eMv)ؿoODLJ*y&}~ml)~osGyKpK6<}R'y)Izͮ~|Z˙p.GZ~Ya!->$BԳaZ+3L43"B_=/c Jc1'v:ỷ"!*Hԟ|]%,B<u2cO3Q)+IO|G葵\̛64_r>[1W |`_0y me8 r&)3>wӗNnM-p"t4401a?vH| P8 9Gg;llfLxl,f6j/σtlP;p: lldD'nGX_˶A{9!W7ylq?ǯ=xwzs^̡ LvUUE_E,Cu Wʚ,4gQNca,E91ǐBHuQkc=r_D7:OW{Jr!+Τ*$kf^o;x5Ν!=u\;}o>{K]?_q .pphKNKQ?uQ,qy'pw(@v[1mu崈63%bRu1r \Y`1gv^KvA]"-4#H>ܤ W tQ`_VwKlbX'Xt1naVU@`w8Y([W(#A*_C*| u5rpZy[x|7_yor_!~}]ٻmpWrhup@S{+uH(k˵WBvj<a%$!KpO<*3?|< Qo**&a<;ml>mR4$ 2:fJʉU dņ`ro7 2E ȋO2 1&4ek0k ]D1_J㹰pOɋC1NĘD{y-:`1%njxb=r}mpw3'*EB=~RZZXXJSK&^nB&fظ~<ymcCعW.OoSQnoo|{oޓ_̙|cTaOq$~q6&?΍Xwӂ*cDp?֖hG6E)e*<#PH|ŢyRaZ4 V̟Kt$`GX0siRQDxbFWOoMk=+!d@L "V~W_ Tko! 2aq^ ՝gxCܕ5V;+ݷpu`ʊ%U3=Ų0g#m#jyQZ *pPPTnɶoZ.HAR"fM33͎C7[V;[i"Y*yAFxbt):n^\ FĔ&ES [-–HK1OVG34~?zU7^J[֒E>7;ǣ+xIXV&BS JWcjm@ZN"+5@iT| ";K7QQL."F ĘP@Mtfy$/^=E1&vpa6IPk@t42$la55yD]@l5iRc.֤y*GjRORrԘr4$H8Yjl`_LR zx]Fc].6rL(ͪ:;F(0mPh1QA7BXDXjŕZ[Jm1Uaf1ͣK.bIu1Zs$'WzODA16ً?|7/oWN0]A^+rn*Em-d%I \y nf@\/-OVR<IMDt\=ثw%#X2woq'L-!-ٰ<x9y/_s6@8ދkoVY`osV (y~m}E݄kR~V-fFr}|3ve+! A>57&/5 &$ć(b?., 0?"%I(fjRK+`~(:mhʂCl@Wy݃S`eE9 1QCEQP&4\Z}h*H 1//xG<~|^W,[ĕ ;yS<7e`[*J_"#f̞URVdo[,3Cp>9rMޖj- &!JD[\#IF\1^Y[EGy>{G?9IDATKy|[޸31|Iu.l=jβ,ˋf3NM?=/t =fTJ{'IX,^\Wv+wgR_ղ6ёn nJ:ʁ=S)}Ć WI--XxE*M,mppDPt+8bUn^1_^2{v o9Woߡ27N>z ~rxw_pO g_/_?ѽKןp16ylɎv\mN4r(ark)'-? KD#,O\K76RYgQXKZzqᤤbEi^ %lh<y<y"cin̈́ߊW???ͷ^$66XxwWVк'ywqt֜>-]/NK+]gFp}S7+W,PC!ΞZxjG1|3aϦ2 )̈x|m <%5'5d2C?Gk(O<ORiF!̵LE;g[X"ގ_$&HmNR4.9'W<f_WG|KyM=-==qٽE^u^fZrhG3FF[`*[LECss%#;K¶:&9!FK 4_ U{aJ:3-G8Н(I]JRg(/׹*>9̵c2#[C=k m/Yg#j-3%)ՋD~ADD{G}Cpy"ym$xډו'fLmG)%6Wl,^JwIFٵcB^vGyDx,X9Yl1O?=C)x+=~_ ׍2=5Ł]ټaѵ]j 5peU[x|K||<<\Õ}gy;Mޓg5"=Z|h2E|-(d)P''Km-qrd9Xv*V&F *S:餎*k%TUd_OKa8N>0 11walh儗Ǽ!"B;8K0 TAtTp]>{縘@p@^򵝝!mŴ1""pPLs03al\/J4| Ϫ $ x⣌&zL #6TՖ O1~$K8:h_})9&e~x|[c;XDtS[HΚ2Z (!-21dJ"3fsOSܻv}[x$/8ƣK;h͠8Fij#fv)zr=`;yFWTdx/{i*"OjJsi-N_H{uyKÏ\ >D{aC^dzK3*50i/8tVF*?0<,$2[LD.P)ӵ=u%8@@}"#2""H6(Z I'=]^ >|<x>\e)bGWo# e+S'86؞@ !4]ޜs@kg! ||b~MLeFz6Uκ5C7WB{A _ۯo`sMW07o wuӇ $0R,cjv UeP"Ի." ʕVh/_YpLOO&, i<+ܰ43+uECY_/:~x,﷯_txxc^x/>Ͼ]us\_ws$b<;7pGj#iSuI; f8H bf%c tJ5sƛ&A5OfUx$EVɄՑWPp/rq> 7zXmoOSE &FiO9lYہV&giV,7b3E ͡^y=NVlYps)ʼnAԊin('7#Qϓ߽JO/ X-e>{|'wsi)K8s# 4P*ux +CttWPYQ.Eb;}4 uԗ^WJ:1iw60*_;M+=3 Pr"<*%DS΋1b#\XQIZP(EIQr^=5H/( #SBD^ TV ;W3]3[/%n@ 4BECՁ2[0EA~ )t 6=eh*,E^7$$h 5x:-w.pR]"1ܜMt"3/CعeSڻX7ڦFVҙɭJÝtN>z uF?^5RGu߼{/]W^/rf^,2)d2_&rŬ)zfc˗hc3%=f t4tY4o!8߅acGz EJP'_}V01\N\\E:Y;D/ سs ^.b職_WzJ9miC`bjHOO}}1ͦW4eV ʠC;OKXc<81*1DfI_ MLJ!P$'$F(v2'ˑ \n_Qd?W5X spfں:)(Ȓs9;X\BABph5$AfR,wo]u3wn]ܺq'bjLt9ʛO.د53^Juo!ZwSCr2imr9Jid]o9ٌ5ձ|bhM0@bt?3}<4#.Ћp7[2H X ƍZ-mo4S}z8[֐mufK=%ezx([jCpA6$Yb|S85Pd|pY6y%a%@e`QޓԆ䈷3 Xx_B3 =\-n¥pAxy"bvvlZA׊ n#۷|~E>{&v|*N^쑍eX$uJc^e)L.a;l9sY[[+̙l]]]Lqrs%AP]Hr`?3o/>1ݛ$ AŸovW_?eΖbx {KR6]ۻ7B8q& oڈ'7mߏ BO꼻H4AR:ۺW|3aWLtY',/^aMGP;Ep\NxڹRU޸2 -2PWlz`""J*0mB3f+wbw%[*ފq&M{: Ƿ +qdIN)פGTFqv2r.22y{׮[q,GOld杗/sxYڋD[)yMK}`dʮ%+SP|_&iJD<[@}aTd)3$!Di*JGO#'GR!Q'kj l^JENh>6nFRې-ttfbhrR<3=c{DNQ4[v2W>K<!qCbb|pw7Km]Lw6J<5n&G9"'V% kk(I|~A>DmYZwjL^>Rgez??I!!Z:zi젢rַ1SN.lcp'{x2o<]i& k_>˱]߸JЭdQ x 8=ٌ1ccbGSb%`jSyut4m451PT;pB)[-`’E령jz;SBc 7YR@X/ [A^j,[.V edgRGK%SE?[&r|//n3s-$$Ѵѕ[@L/  YC 3yƣڙBڪR{+7&!6o A.dAsqyRNb݈<+Ek)k`QFGn`5ax kcW4!3joHa?'8\JJrhUW.bbSWՙ]?ɱݓ%c}93Moy -uscj.vj@1^DJpVڪ )ɈZ̆&Ni]\ YP&=E$s"H~܌V([}-H(]m Y(“  (bdIӈ3+@_m1&S_"{'w\uZ^إPJr|b$S<|޺B z=%jNr?' a'@՜A) z '7~RX,!_Q N*ʋk)gB|;STײq OsyrpKCSQy"XdiTummEn$ )8MLt3Pt_Rӫuxzrl/֪e\H^& ff3X2gK-bLe'Yyf& Ƈ3Ak/KGST[;oyw߸P+Ubiؕi0)/]NծF i.j l`m=[G9sj?|)?Om)ƘWۯ]<wXP 6+E4#%v.)jf1˫ŞED8VWihȶՌVchyϥbLil #.3 ~JH^qz8e5uaWzK0o>,șp2RzyEl 4yj9p{5Yqahs286ړy(gˏ|IP~ _K7RGn?ƺ06X[(RNYdD-k ?Ʃ)!=.Rq^ڶN0Hȷ&JBX|Bݬ7!ьhjU9 "-ă_O%&1=Ύ^^yxF"6Zo@rmd韛 ~ p[l4^)r9`nXWZ&)kek\k1+O+\%8I%6ڛǷK %,8Z"McL3aaD6@t\QrU{]MkW- bԊM޾ZtK3Sx,-Oqnj"p`xr6ײ}}ejSʬ6fr&} RǫW%sð5Zy?+Y)l"5X aaάQp.sf<lѼ̛b85D' }%Xb;}&ک-",ȍB\yGe;Kb21͕A_mc‰u,ٵem֯_.200/\q.EKC!bF-VH3#T=e u)ݯgNZvĽVʫ\Cbo'ғ&bI D{6YSg8u vaWvs*ُu~yj0㏙'g21k?{fohH#;!Z`׮a^gⳏxt,N#!ʟۆE#N }${-l6&pNt_;;3`\5e욞NM铲q1F>ۆ! )v'Ʉd{c7 u\>pK-r 1܋2%h'&8Q\O0G|} %@8%ޖ݅4EWcoY[X mWac#:іK~^|b[0#.4-7VBSn.{٨[y{ű#ӬPlvfHu'!ҕHwB'"› "G)I&$bء݌ H{{= S"F;8LJ\]#Gy;p2H;>($Y+!j܎9nI1w1UCm[Jh/a@A zsXl>˗cժ,U^]=M/O#ٳ9s&f͔gsVWeG+#"}EcʈG6GepM-% RωRt4WuDžܼt[j)sW[h5޶IHwN 曏x ̌Urr3q<Ka +/,=q-f[3z)wy5/:{ruXKVɕdbm+YKzBK swVV$%DzNl飴 RJap cXS< |0 $?BAe]_ ^B;yYF۫Ȏ Tj>{wۯpYc^}E.\<řIux/\k7QOFs15ZJ,-śۑLdLp1a8RQQEdwsj.nG;?܍h73GyX(q6Rc>khBR?5yWJK">̕;gT/:&6q2 8ʖ$gwTB\\ p^rc!vn'jϏ!.G:8/f%}ʬH7%xJ6UX{Ξ@|M-헐Hx`ݕo=?DJfR"'ĐOM]/σK2<"d>:kEK7oftusF1d.K𨄅FZl)85ͥTgslsbk'kݣL T2SJkU"4VWH0mMuy3k\u eg9s ez#vO] h2oA;18PKaNEY䦅/![@? rغa}7s^=k'}+$=[<Y=&w Ir-Jb,K&@!z<m_<X3<,1)TU s] y,k]Ri(0#u\%ȴ7Չ V'Q?|&mbb[X?GYlOS }!BAQFwK#' ƙ V+HQWSI?櫏|򦜟V.ŝ?[i/@⋝&VN8 tq 4&`C*'++CQL)/YaK%GSKG!D胟zǵ0ERflYFYy1dFokJ-e:=w^u&t'.^W=h "3X3 9KwSW"8iˡjH` s1Bb>+P+Ę `OLj"`)Dz°`@̋ >nB*D[ .3ܒp? ϓ`$%/?+=g`t6&?V*SCj]PGgm֡6>~ RJSv>=?ͱm:>%;^1fz%D3oakKe3Y,_ 3B^~o̝5[3̟7!)a%h5Nį>} fEJAz,bHsR΂|%ڑ+<ux+/rN>w/7xwY8; ݯ+JX?F> fN̴ XuosspIȣlN#ʹOQ,ᭇ\of|@ 3n-紙]~nYMmQE,%jR\5@<s#'Rpu~\Z.ߍ 9N좳DQ#^Rlg/?o?מ'9ԃ;F$(]v\?5$X*Bof 9!F͙Դ8z25rHnyl|=y_JmUFxQEv'qb#\:Mc]ej S*ʋ$;gkSˁ s=y45Ƈ* 5 =Ñg [`/{bC&yKQ:kcoG%9j~"'G ګ qSRHL !9+)@bB6n/l9>,4 '˜yŌ{Ndt.n o"~˿`?,C w`D$ݵulgH17qlLwS3O OĦVjb88Ϗzu%E$3^AQgrVnLO.gMK5H> Vh?-3<%^"93mUϖ0)$h,Y@b7qErV>U֯i&7=RΑTbɔbOPni Ok<}<ϋϞU|_w^pCbb,{޽{KѠ1T6FTe ofA86iz36^<eSxƣy8SQ(<['>iXĪyOMTwzײc0[,ZaDO:c\|XGĐ`1j턗7 tr W+WNOg , _gݏ|w˂U_Pz<i'O/͛TO%9.S6DN22GBtۧ8cZEh-IZyiЗ&II3INYp<S.b9r=Z&!1[ŸiSzwu<?~ѡZO= $HKH&ա%R^OZ#~zxEqvP/>^2<\Wag`_77  |L #ABRF$»ə vՓ_F|b)AlacoW;coEC"A6D{/A$(HSlNDDCp /<PxAWeI uLc4;qr MEIDoc͕;SLPűkWD<r|>nW:qVO? UdoDdepk3ll&˖/b<euNa޼y(^@7{ 9)(ؗY<ox~o)a|+?07_:‹Tgdcgg-5聽 9iݿSQ߾~#^u7 ޯJ8?x@FN.(.)[1M5<gCX6Nvh;01}OfS)αTuY].9Fmq2ef(f:}Ä:fkv pwwŒiLX."h=3.oL-wr')$Dw˸zh;:K:­-Vg^Cnq:Sу~5_}9@NģWvo*̢kcfzlD\vbC8́S&'ZRƩq:<o{4JK &7̍7HwlBvv8W}3 lQg87ѠF4wGo kZsyt"ŗ$^(`C\J|Ip OS𦇣"1+ 6U ;7=,Wa%8ԑB0j1@_'b$ܧ$HߙE`(57A}عc5M `JxKS텧\W q%R2b__x7su?жyu4 1֕1ў'*5\fQ208Lum QfӔř޼͌t׳ai.Q.̞uϾNvMv[xʉU)kݜl 2{\f̞ˢvK,橃3%(R9y X"jR=)Lf>7,w^KWs>iDKeő%!@1uxFo[+#l4ŵGx!<$,_xubN;6jټm#$WS/!2$ʂjJ" OGL<P3NP xګr8m"`}S:;i'*Ɖ yw/1x;WOsqu ,%v%ҖMaZ<I,v¦I%ELG]p3&֛Z}'C Wom.w{ϣ $Ɔ16>%?5?Kk(>p8GY]JEA04]Bup_^34*@qb=MPLCi:Me!gwZ~VL1q~."~XXBkv$x݇Gl#'Kj#8>ʅ]ۯ>z&m|@7UQQ@li$CSO1nz* <57P~1ށGyԛOP<b,ROg[8D4b Va`eK+ ee1*n8yzㅷoxLn/བྷ}:}k(kZ(B{ ַpv{~:j@nR!W޻!i~X0[7@Mv 59L7ggM@ &ʑQ\ٿwYˉC8ZjjxԙCffl&+39,Z21 3f2GĪKX0k&)ASSGOͻoާ&KgGWS)Yɑ!?K,p6jbmO gxxO~}~s~gܿw7{!ΝLA~1y4@]e=-x8J4SP90˥[ᷚ-w'agRǁ݌Tŵ{ ]UbĶ΋y :"A89 7c r<K3L h<OLv<Iva6!#4I c.;+39m=쒰v@t|?~O?DOn_ǣKvhWwu4;)KPHk{vnuGhVFg0OⱘϞ;Ձ׼ ?},q"E3^CL+$4>Zy(#6MmbqFԓ㋽233\c8wyA]sS:isn RR=|i FYwGѬU q$"ؔ0| qQD9bOrn^}7 +w<SbZǶ$%)f0Qa)q>$9 &@2JG v[]狍?e<M{_+Wu۵ ֵ3˙b 2f4NMNr vt`wkV7k V]Q1a;&8w`2"Z 4sisr'vWk=VH0tp/OV\) 3Dӗ"ϐ3Of2r)u`_{B͜AbX-tkh{O~egˊjR\ 7' Et+EN~O%8|ܹs <q%JJJ%=eR6jJ\4"mBf:1ó<b2F8v<UsX}a\@gMמ{Vk̉)zq]FA]wC~*<eWI <:jF?)dlON{z wTer`:NF|6MKwaLB ?_I Q^ާ.8l? ѱD5$BOh_9-.\vmZ˵{ ;U)_>! 1Ey1, 3pcQ6oaZy8-1˟C#U<8Dž_a p;8:Ї2ST5VjX%^|`ߌCEE7"$̂2ētQz̄-~ TIv af>$|4_Ol̈( !e`m'=+7B]I!{  ,n(׽NAvR4d%a-[˗>OcI2ZUoڶBn]]\<4(kÝ ݂QNJ <ꊧ*++W U ΛɂEsXLu8_wzkJ<uDԭ\(/M'O~qqmu@2[K]BPZ^Hk[ÃwD_^Wo޼Ԧq^x1Mͭ<}VRg9օT橍}\MYgL=Xl"hN<WNg{I;sn^W y93 Oؒ-:,+iXb/\Ҋ>鎂{kce+6ϖc}J-u'pjo(ܬtFƈKMݍaoo?I1_9GQM0?"Tp?$›kz >l6ʵGk-cjMw޺w/ C˜>Ot!8>uuXhӆMlk$- ȦpNK.|h ^g2 a;w gai7r$ꑔ`MAXq ..w\6^ŏ?%:܅&o%d~~Ņ"8(?&BT}p1G|BzJdR e+FI-39\"6&ȈW <XpArqq?CRHNL<wsd].me44wݽbK+b;y}<Gla(]t5T15.`Ω=5ŽvDLŅ=C\ط[ 5@O ?v'ky5g3(3X =w*Pf( .dŊ$Txw%wkwio. AU^LaaRy{.,ܼz#o|\ѽkO;.ı2M=;SVYEV^b80$bmB+]xơTLfy1ý=40ݙTw&mQ{6dƅo^:G}({1EJco$Eȥ,k5+JLN'Rʗ߯K u]/o#;'Y`w qD*!9^xx|۟@|CskĖVnjھP")*a:Ww1^.ǐͶ->5}=9n[̄~9V3-55S[[,3Ő7 #<Ԏ.6謢\QEC' 2ٷc'YYAie:5S<:;=tzgQO__#-CtqrpCo1IΔfH #H˕IBztT'TIUNř!n˷BL{`|b)*CHy].sh)</Zc 0 !J*";?MLon7€Kc䉳gDS ַG{&~Y'V fO"?=^W2~Շ|ܕZ 27I mճ;+tT_s8{P\80"wK4-H#DQP[ČgQ>抙D<3b(拁Xv7w&@ca6;}]WoStNUN֖fHϧHLD^b]ej3Njgsq8Kp.o;{GcN<x9b.KifB)N\69hZ܏91̲eC! cAu>$!؅ZvU'G Ν^u36K8ʙYQ5yQ%#4AZWgm9~8gg@3)>GКŶumH84V<4-}˧z1QP_UƗőO_~4qx]x,|`5~͑sKWywgɭ^y{w\Gok);&mSHrS= 0YH-1؛.ggX_MeʈqMcm05 'UT%sfo_NsFSc~Vbnp4^FV`LQX2u)O@ w=cpu%x39Rھ 9UgMpEs9{6a !"JE;k֬n<P-5UX&&4 sŰQSS$z%))h Ey45T[!YYhbBOm 6rd[mUn&m ^ϕ (d7}Wo[Np. RI/ʩm|5ͼ|J`XY2Xpn¼X`>.6x: Yg$ϝh<xy2D3xlKfbnBhu9L /ӼyriT%)TW Dä&o8K;LŧsQn^>s7+svs. OsLt]ɹ;w`?KDN5%Ĥ'ER|m4Ȍc)KͽgV<cB 3hXug֊L:k}$^V u`ԾM<vL#GF${K+?:,@gqw@;$$[N 4H>{;ojn{Nr^kk,Kh6؟*kbzU Ѷ jbc@deQi(Nz֕6.&(<mIAF*n^bz/{cY;ccLR”>ظ7.;++alLY`6Əe|ud 5 %S_@^'14b%zL Cӳ猫>$0BK_L$ߔӊ~TfrnnRtvQΏe_I'=큟;5:m1ލPxhN.'MLôVERYMAI1Ӻs;>oae`i©EPW">{43$ĕQ]F`*;54xLn0b+!~dd&s9dgw_=ڡSttM0w``aQY ȁzW5TCqrMUMڳpuB4ͯx-[ȞM+ȊRwپ~7lcQ?kivhbf^6{sMzv,޽N(5 >ꄁ~hZUE#eiqLo,Ծuz0I "IѤ-Syo#=ΟL3vo_9{d2n]*>^=d5YKks^HNL ?[^I dPju א!tӵMbie,O 1?{/se̙Z&BqfpZ,N_6;Q|Jsq6k&֓cB!FXJvBFfYS ֢i>A6VdYP)_12s_˱+ؼb>FԈL;G{rr3~ħ?{t_7rEgK>_ȩs3:(g~K {cfn#n8+g5ԉ/^04'VuB}K/<^'1;`]p҉$ev?i4ymkCshNDZ? ]rξcy~&פqNfM*8{gqHNq!7Gt}6붡8jEeq,F3.C:YOAYq*1!>i' P} L-qpOaA))4O1*<WQ&\KzR%-̜2LmёXy9f<Ypj\<1虺b`탋7^XCzJ4QIeSZ^GJflYA:4ϟ=?%W/,_:_ :#se3'`qrĕGiDm.PžrOWݦ];Z0 BYЩsGZiN#cmiӶ=:tT v,'bo^87/pa!lr2%:W%D:"F`$%2g$.wM;gr1Gy߾zƵ˘6e:'N%)3d}$vnj8T002l0Q~t:>QiGfbM(^qbB3I 0Y>Zǔ) }پn& (vo\ Kٸ|&k2\f_H/䎜\!Ei893@w@CH K>sf\4b:#<W/<gQU%5!A'{"&"pn:ewYpe,¦4ϯ#'1'[²3VVFÒs9{3'5bDo^,UT([z1 #X_14ǐfI@͇l݄\MsNRlhy)Qx9BErL_<7‘ LӤ77=1Sm yZ ;oK$f.6ZԆOX#ܬ4q~wP C]ĨfvaظWf"d>JO %3Ƈ(uǏ@R#1ͤ_[N ܖIMy!B6ÇL=髩F>ٸPIm3*}Y45x1!~$PVZIB|2%lڸULep[6s)^=}čٵii1<y7TVͮY$f70g|\GLC{,L *˪Lҭ3-mNBA[:tBnhR0J|+y^̃)WwlӊP/2R)8mܹΌ 7;@'}:!__u|Dq _&c7W$8 5޿yΧoYhG*pwvCs@1! 퉵Iˈ$15\|c I/9,M,05@ p6R.VΙV/\<rrL3FUQ[;jإ1z)Y4,]A 5+d\*&\ ˉb.F% lԭvmXœp8e_fILMU#'Z`݅=[?':ha@!<-|͚%|6c%0L(> -$aI cj\9 LI"VHxLs wk͌ $3Hpbҗh9Q,k,\>"i酶`.鎖>$4huMOt#!V8Ziam2@B|p"̊StA_>vuQr@C3b'wOP2amcn$\+H(Tgfr:Q.^E\| u%SSUŨѱhFPܯ,Æw>&VbM\q#/ы,;V:hJ -(&.A_Z b¯^7rA<op`3xrnƪ5\>3G0Q՜1,\;q0Jm11J:YLtI:IU<F| j-mZWtlقo~n:ƍ<uWaM`S&(ի24~_kNV̟7xk>~x#z5cG3sLe|֓-wqA_qw{1Lv::$/!5"O98 Oga¿K@v9KgLR?oX9>)n 'vm!Éckor5[,Y-ݺFxL LUIQd/tP_N./8{P^σ|D,q1eEj$Qp߰zDY2۹$KmXG{h?lq\y^(Os>& ɕpP.</M 2oG qzp>zX ^:dxdeBfLC&+ɏh_*X42crBƨIWSW'щ0k#\gP0ꈓ`R~TW /fX>L2=>hhנ~X8k92T;*W0<Bq`k#H>7Z!c70" AA>\QҨRu(F?/ؿw4Çk]w!]07;@u $-&Z3[pqq KXvk>q;qy^=ؿs#y1Op&ni%߻ sTх[Ƀ{qFgFÌpwJ߱cGZh!su}{۫OkѲ%]vG _x:nڵ#"ȑ1悇;섃-Ll]rS'qT<9ux3OG_}5 d… R񖕕#wɖPtz,>4؝T ҋJ(&<c$Ҵ",2B tY~(&2֬X:{KfMeQݻT.'prՂ_K ֥ L)}םcL*%n݉rR!TJ%b#_?E%͵\;H{Օ8:`o-X^< G3 7̼%LNŤaً~]۠#Zjb>͡TV;i˖k>e4OcxqVuEIL/eRE6;63"P;|,c+ v3W +khG&Y=>G^B$2ʟ5lU{|'cjܹ"9M^htc辉~w\ d6ƺ1$^wkmbwGkpLMu@X8ih0s"ES}b Ƞ8ZKN>!'4$KFSMWdѤ$$gjq4I4#?_<ɂӧ7a@ Mhhgn 輙P΂DD<HJ#r ꨮq7ic'̤q<[׮ϫg9~ho̕8a vΥ#9Ûg{lϕ;3fȠ>~u ҳW5JMeUҔzRDY *%T(-C,(Kfݼf9xpvSYG]uj)1{z3sgy9~[x⡄;8&b垍ݼ\nEYUݻپ#EqE ̘>ɓ']N\RBnVBñ5&&U%0Mid̐bݰK)N"ך`ɖиzj6[+eZ%xRC[bl]>kx85+va3 cF32=X M g%$WLh~j"af&2TUrVœصr&5g$m+vSx]/K^;32ɕ1ZJ\ 8퍰28GˡbB)g)̓04cb#VΕ4I_'QBraTLi(nFtCbFjaQ? )WG35JRuL 3mcY5*c9mSR%f =61bB?W1 ^6؉Y0Lؙ xJƦ13  C? |0r 'Olpt!5Y'/!!<ʭ 9?1'ObJ`1/[/0@ss$0T ϟ]a谁tmlPv!-Io˘ ,"->'{(IJfy5z aJXd)}#Gmq*v(Av!>:˝e7d||{ 섞&Z]uuSnA"s1U9-Z&IhGkဎmZBQJ"#w/q>cEiS ,]:M ;9yxu+ I/K|xR,غe%%'rgeZ\rd[0lhu{Xo2B-ϙSY&3AB5R[6#K)K %מo_󵚭V _x:Wa׺E۰Kb7M#|6;]A)00 =0OJRq9br}Nf&fȹ9~\; S Tja؈1}ŗoM~#-_ei#sSt֧* gC%|`h4KԊ̊0N1즡**el7e_0\EEDPIz|tkwMt8 ;ňb'u>fNy_\ǘ\C6<;}{_vowsmߧڴ?.8X Ԡ1끉LTW8Bpo"nM-=|I[_Js"&9CS{\=qs O E$ƐOIa\D32B .ne$%PU^wI^˱/_CG lw15wÃ(7 -SɒŤņlGrql%yTZqF(oh"GLŋx }Aϟsjvo_ȇ/ sj0/aI0EWS་h~ڶStz@]"GԡmhI{]Wgӓ _/>@rlq2'OifѢyۻǏϟUxo$ٶVkqY}-[6W"VHAzNJeKYd!no{eL_+n]ICee<~E-!ƗguEZ0RB|zۣ@~`"?UcZVX0]&͕wu*[1EIkXߡUCI(,#=;j3SX49cٳfۖMf|%A*+^Za:ȸ$o_C_?nQUQj=vJ&jb~mJ|~FW.{i#1ԓ 34m &qi:.YO7N>;AF:d+p6L1qנJLfsv:<q#ԝ8ePnh-KClؽ%]1א*D)n:T/!x|My->h~/ill ='/_B32 q%6c{vɉbH@WVT |b%)د!11:JyqA!ǍzMS_K{j1Sc ^$Dz`CSM +֒eՔ7]BYe|=~EǎLqQ ,ݛW2^qxptxmxpncܰ.˹5g.ɰatC]-FxX0PV(d_ ?7?gGJˮ?_GwNqN⽨`:~#K^^O o?~>O} cۦ%l\=Go^>Wy$"e:SX0KO2,-"2,P@o~7}kULY59uK_BmMLLz{Ɔ3 u,rC;vmrRbE;&c|m\M (%Mݼu%k%|c?`fZtjљ _ѓ֒LMJKG1#%voȚ\ܿ(JrS<톾dK~9ޠ0M94GZ0w >FzgR.칓0a4 ]玨v4SGrXr .NҾd oY` ȟ0O|})h=L~GSiζYc3\Ěr&ri:^_>%SEv׿5(;v``Vxof6hw|x?t$`d=퉥N cg+}.G7J'TI>衩'? 9/68xl)>əZєԸ8SӨ)$;-*b..,#!c'&"==ܼ+dLbۿx_ϓgNm""9C[wtj`psmp4"׊ah"5#b Hϯ$>ґ׌%1}55Juc|&OovͣK<~qFn;DMmK͠I AY܊8ALb{ 4ZϕB2ѻW/Uj9{||oevn]-O];BZw4o>@y!\8ƞY+by^6;6r1^:~+.u#F1c4nnqD)q!$G R ddU6 ε||WΙ9sGY!EQ]5+شj1OeFfI^6YLXϚN fNQ{1bַcˮ*Ә2Zkli@7ܢJOT+߽^Au̽kgnF=N28܅|IJyؿk#^?g9d ˢgڈtC$ej<Mp0!בyӛY8k:U2GRUVʢ9c%n`JbIkMq,6g2#E@lD%\L6zvyh/}YYSNzRk= ƺ4e$|l H jbN~BW3@ Bdn2 ؛UWؚiK-uqs ,}rEmCkm%(a+D`$U])) e哞[B2YWTGbV B6"%TH)bI GOꁥb sL(a0b`.nADP$6% )GbF %r ^|[.Ϲsyu{_^<rG_WA6tF Q~U/ߟbڷS0*5e3ZjB>R)C|ċoH_ÇW7[w?{rGܾr?^1c9L8mågXn 'M";;&M˗ܹŜ铉 ('eքˎ39-孫(c] ަe4+s{r_ECIl[M+ZeiZ<)jY2g]ޝ : } S9N\\m=fAĥ3'qM7>þX\ArEN`߇`og0ƺ2 \yk=On0^9XwMPZ: 1 fysVl@QacG7&hRsǙ3p_'"\ $&ʹ uP/4X)ׄ}:}C.rj:vgx C{dL^4gֱld%ͽ,=}ba@ukwʤX+ÇvI-d0ւ}'giNfCھLι9.aj怙ts;0d-vXH`k턉#?d͠LLhEVKbr&i9 KKk,#+=%.cB11FܘC164\KB FxaYQ- دPQXKYx U'%sQ=}ȕ+g$@~}kyu(%c]|S!>6}߻7}sn"\mڵQ"uQZE-ZFYao7g1\<`[~M{扄{!^O ߿͋9߳u-?+;Ϟ`LLAA#F _;޽ fɂix0z7g뢩\سQnȜ1lT 'oXn l,c2Feu<vIXظ| Me)̞=~׮ҷa? bae kY7NtW.^PŇabJ%fiܹv!oK^5E+( d@o"}\uaZF֊n .߾ßϳڒhU'S՘)+lXɪ% 055? vne|R cGS"Jk;m'%ZdOķMS+A$ \=YjBO"Opvh̀nrt*%w3|mF"6w$+so_b O PkA$Kka t1\'6R`=\0h.8ۙnlzAF. w1skK)ہ 3YӦW ES$8$$eCAQE G>ښZFFW?O) f C|]RW,:3 ߑ$SXHJfrFoLPFVN9e$'r=~W?z*qjyOq]ui//xUp_=%DE.~h&dAkmrRKzuA5YܽEŋl۱;>}_?D?Y8?>qyN+՗-\NJEX2O|_8ɺ_2ill7ϟܽ{KmQၔ gp>'riZA8a &eٸb׶õhH,ױqKX|gLWy8o7GvoW.\9֮buH|fP+jpz!`Ls:ϯӣ˜ڲY ERN뎫 $Uxd޾˟U~eM<Y\d]떱rV6p 9MHY*w&5&bٌ<yM*Jbz]717 X V0z}w< 4:t޴{ /VV )3/NeFY//,Գ{[Lai6+!&ӂho}6z}K!>AS^gc L4*b`_78[3\}\wCczF8{c!yPÇb-:}XfNOEx`Q~!)$ǥEQ^9#jG#/Ay o?Oܹ,xt3gObpp@N&elWCyy. $ AeW!*US.bETbj g~~_a<;Gvr H`?rzj\LrnjC%0SwB$!ed@iӮ=-(WӠ^]P:YІ6mŁB:ȟ?_ܾrwOO }OWΛR1/;xrc;ٱq%DO[Wϊ]=,=Qhljf϶<{d͌mØ2lr>YYcX` 9o3IKH ;-kWζ)@\Š3WWAb|$ Z9MBl҇lݸ7_SC< 3 KPBSJ("~>Vn5|ure[Hui~XDCeЦȨZ>ٰd%yj/-<MkHIь R c,+isdHR[Mõ3عfSH`ơ shu^U3G^O%Cd\yb%7Ψ0O*b:nţkX7r{ 6`/ցO{G =ocZb2jg07W,)_;耭[l=Bq %@ 4Oib估uV/%'rnsR≉ .5bY3 H#%[Ȥ$1qxy{</zvS[vqb g hMR-'/JkPxd)Knecf GP5Y!ʪ N_]wۧw WK[39gwÜ.[ ӳG7Mn/*mmۑێ _Ъ{E+eV΂?㻏9s/_SHG GX8w"i >6ͭs~޿x(|q][s ޿ue3'5kF5PSSx[1{11j72{Ri+X&U$,,kz~2F;_C;8m׬.Mk%$2(R6Y3 U-)w?hjJ: b<=#I.`-ܽ'WZ7哪o\.p= FQT#k' C8 !/яW#㼘<GbDllvV`1TVAbLY|zR+J(5R_̙8R {w![fp%:E΄=]Cuf=ڒjώDA-09g3X\W΋s'uu -ؙ ofFx'5li(? .>bȄ[t$H١o;3m0\#p J9+@q̟=$]?@NzNYd䕩+R3 IL!&&\Lru%1Wns6m[hѡ4 Gg`W $%’SWI $^LNI=J`Ḥb,uM3幑4L$ALLYe˖-s{~k~|uWwq͙=+87)6rWnAا;wc>tҁ2Fkevm[-h-o%a[Dӫ΂t !eO/t0o^?3𣄃ox d(K$Q_9}<Oo.>&ɓGx侺ynٌYCmm%*˕Kٴ~5&!MnJYǫ3*$pL3FRZqQVG^|`''ngYh#j qHfۆOU 2Kԫ."&1ہ # {,y=Ⴅ{A }xv"a:V2 P_b| &!1C 5yI{H=3ae4$?"\)O ej] n]fέw웒b ᕨh]s9?}utqdhWؾcFc H)AZNRgO@>ðW[>q,Qf{DW,0m F1OQzd)a@0<:K 8-;Cm|D]N;tN1S)j!O{EŇ:88ac~9)_qe\_/Qq BS)!>)[0OBj.aQIT!ZaR$;D&MG^QBԿ:D?9yp=ąJX)%h$)eATTOb6JJJeUs~QG7yyoEc[s9uhu+ȮЧGoҳg,P& ?3Tu?& \Noނ=Ih= ~>>᧟ü~{_' Kd&JRɊb٢ۇx^+uލ;y@/pO?/;w6ī*%owwnF2+2v߽ܙY4c ^͢1,[΢Zv^'oqT R)Ltk7Wwr,LSc!.dqz6oZKlLYilrj/\>yHOťGcᓈWh6NFd&=̵$}>@K&0%ĄN ([Mg|?؟5s$6:fDIJڳ9O<I\4+M%0~X*+(’ ? ]2g!S92Ucq ߑsY;Y`0C;|i6zW)jjL7-4{gʎL-wraN_%7`J2p0V'puqXr8ֶxoA ع$g_zhoJZ..*wuEqxɑ&ϲHO͓sKixs%w;<Y)>cS:S\QMpZ3"ribT*,pQPMz~r1|UOSg>&5Mc˧o3ϯ^}xi'__;*{3  Aʬ@u,h/|AA;ur@Y],P'1 mڴgQ,Bt)=F+ ܿrG7ϲ ͚@S}1M4=m"o=޿û7Adln_]!#{7~߽e44~,5M_KI0^&Ibk$l޺CKП+6VNg:y\;rV#W+56!ٌx/ ddBrMfdE`B?I2<D`}OͣX|\fL@L?P S "6s:(kpn˄ĮP̖8}&/͐AlZ>PWg-Q^a\AtLlLqwSmbl aaW2oR:ڹSh,]39p7.*$ATy Gҽ,pI. ܔDNLÚ2&H?Ofd`tE1lTIJIur޷vER;Hr 1Wefs !W{ {YK!<1B$+-!U@R>QBQ YEdi3 Y(%VH!ܒC Ki5ReEܑS5Zľ `Xĩ $g!}""&“ K#qqrQŠom><'Wj {~ͽ ^\u{W^~0tvIDa5lݪsU{U!BYQB΀$5G 㟿侘 TfND62([Զs,9Mز~?eObvQZZ$aJV\.[7LPzW/e>]+w孋nn`\;wX#ڔ,ۚ=떒)`zh-% jFwq{{E)/eLm׏42abKHb9)S`Z NmXKgϴ[9Iuy2SY] :Cqau2>SRbۉ {C)W̛Sʸ4XKKekp=U6s-!ٚp?(e©;+w Z<@hh.i`[S=/䖄ױ~/K~b Qll wؾ p0JO !8٫O&FxH"v*-g<v8f[Khnԗ!2"e@Ie (9(MFv5䓛r*$9+zG!b@59߆SUUόYt!׾:_+d [P=jF>Vž _ԩ-!&&KG4~&n>;] _y~:O}x|ŧ_lO.-]-udeW-A m۴}VA6-[ _P:a BYΠ}HK] _Eܻ̹ӇؿGFF<Dz3wF ffɜ:3 5HXǶx)3gL۶nM#iEsyvlfRC&5P* Ҹ$^H0Zڣxq!qo$L(`/cLP=To^:&{^:h,͆ace;vn(2{'PĠbN 'z C{+1eayĠaV$&0Eg"Ŵ<F$3Qfh۶mr>CЉ@Ldӂ)ؼsԀ{kLxhG0Z~ CIzyHOYƬi9{z/gn,*ط"x Q5Aj n:Y?6smnXÎ ]>0FE}qsql7!V5.VC1UP'+۰-yܬs%@1n&8hp<9+#uEb(P}Ռa"/.(U/ddoNxȤQ V<Bl c)TT3yT͛+{ sOʈqhyx֦8KHٽ̞LNjyEF?"c ɭ<p9n26jx.߿~gxy gy*\7i~zyOonEhi[+ E[L]4^,Pv=R& m(SN Lس?>yUEdK6 V?g4ėٱy{/gfm9F?Uۮ]dzƍm۷mZcImHps^'^8{snsyq<9k& ~,t'Ցmf%E13B`7~~;-cU0[f )@9nDW\>!}E2q>Cs7QR6TW@YV<S58`ieṟ~~^.$DmEnp uٳ'3f `!>8(,Ww7BCCioN[.\*rs']nQzd$=9%8d./X .F:X_ɕ+%nF#(?ڌvMk`۝C(:q`J|,T b=`߂Xʹv6[.3$sXX`f>s8`k7Ga8ai>O7;BC/z /So/$3-[PQ#kYYjM'0~ i)7E&CYj/׿dۧΜIWS)"4*3S1 CIsgF!5rr+UYD2~!d_h,.4Z_ӷ-?=IǃK۹ur%93[ɉCsp_tch+AzоcGu@Ԛh,*d"M)vZ:";wf@~+W#PWUȈb ^r>GDPNvX\ <w3KںijfqL4,9og^L (]R^Ս M;.8IpT8IxL(50c(M"'u˧uEg@)Ċshnd 3iK,P[uG6>üNeR15F0^f Jami;</hJMhWq5=krx|ͩ۹|$G46l2z׏oP^![kSGpTX!qab8LBoOOH#WBi}&OMVB1]) x4ը+hO>Uj1:>cٳ=6;Է3{1Zg{A*'eZ0c$ M a͘VLӻyx8;V͢ GDW_4DẄ{B;FC0S$T;3mlLt5*_a+$d5 g +%48Hx6K-d_E"Cˋ seeKP$&!DE&"nl'";9!dF6|ZwRV$'9eRRMPd ^~a$&ao@avW3>ony!sxb$\LO={IHNi-oQ,Z@YmТtڙY0"-%[rf[6Hؿs%'m`";x]WvҨ//P1z c;t΍֬^Ny3Cn֥4SHΩH3nD8"BA+Qb(sP>59ь,H +ʇswP* %;Ĝ({Ҥ&%nXZ8ҭ@m=ٻgO_Η{O~h&  pi,-4'_3DrJj<n,ۖ<qvE߼)4{6[|5ʖRႁ!gUlL.7P44ЧO?|'.*L1 ,1İB<])HbJcpW=eL/1uF:>&vkEVʕX숣FpVsnx^U%h@E[dq nx '7ɛh'3INAJ*Lu`5\ -[-b#aJxBNW1 n<ZKhS411䌑+F>X{`f玥+.xxxU8ؗ:ӫ? ?bD_%$f &K'O%-#G݉c\</W쿽@ѓ2FW!а L$ZB)D G%E^75*ҳI*7(W0B"Rp "%%C!7={[,,o\={wޗ{v [vo0c~=z(ۧ}.XBmڶC7aere+3:wHG~6}#/ca<WfMxp+8> +~m_/سy9=e u5m|,?QW\#OZ}9~s}ښ`:l0.vH75 Y Q^x._PXE<l./h_Acyx5H3cjjJ2e>#sS;-a#<([Ȉ+`@g4?(ft9#̢jLjf`C[y}47$ܽro߽d_l@{yHmWv!GD>#XB AA 2'I`(+ ) !H|SiZ"3j6{\K&d^ms3) 'B%tZ1]KL|uvw@K2"xNb"BEKRټhKypė<_p.c8ɓXWb,{}”FZ}Ԛ zX`4\‚6pBS__<43M\F {be/|2ngOGٿ>>D ăTOTAF.Yۣisx?r&M,jd.#EOwze<sxfP[Fiq=y9Ϫ MCTDɤ$d0 3>_-yͯoۻ5gxw'vr:E9>8{tP ZztM0NUɁM(_|R't/,7w| IϖƦ2v^˳'W{xE\8pF^?/?=cڹ&S]5NZs ?a:JV$3D-\mj>6߆xYjF v !ě`/$#,#< w;lt D gL\ǔ>8u&n> 33v.9|/W2H }X!~t7On&8?1V3}B3V<vʅS{N¾Gx?ocJqF\+ͩ.H[eSPÆg B1OMY+,J39LYԑ5,?cY45:bҟ8 ][պzZwDNt NgS8=݋dzpR#Ņ ?ndiS1nsܸ9`c  9Hp cݞ[&wcK4#g]l7c>S#+쬼3|q>W0>8b`C.ݳ/N$&f9%=RHrjQ!LLxQdǗsn<uKYpfM$>%՛|Y&檴<(!gB&q+7( O 8~,=_>׏_ӻ{y/9AF^9ՓɏgF_H' CjACeZm;ڵrdeAim%,U]m\iб3y}G~'wn|T0^3{9}d+WNھ+b?+d4GV3M aޜܼtQ UEF {sOYV՛޽$įV1_/I_Ly~Ec@eEU%edLEeIh(mRbl}MDkÒkœ5Vr9FT+!ş‚з 4K ,M1CF!(Vܬ*-cfU,=U૳Ǹi߿Χ8l/OcC`¼Y56RW]Ey^Iѻo_uY ^$FR^/ nEXQ̜:Y4DŘě%B3C:ֽܿ1/1"v0Ɍu#rٱh,k'xT#R)Bjzj'eKM *+7*\Ɏt.=G1CF$ V[Lb̵id+.&$j/ؘcG0vnعa싍Vl]q3kG\<pLf? 1=ci&ʲ.iV 7H5&8/rʹ$pyάXl)h >ի#[7Σ, £c I/$$|ށ1xD(cJ)%bL{~çW=_y}z;wJ<)^<8%]]Y CahhӳWoyu ullY,B,hK/gPZ6ړYDon̜0޽?o mX&^?wvN1 y&+4sCcsQ]SI>yǍ,(*MpRI 4UϿӥS+zܾ%[_Hooth哣=U42P?7f.<3#[W.4Ə̈́㈉&1)SszOn;غy'8Mqp+&3YCNUFh.6$&~$M;svF0+sCnݽ_Ïؼe5+ˊC8xZ4kqn8KA~%%%$'gгw:v#K~޾Ԕ3Z$;/ _I!~Lϼfdv/ásY?E88%[" +wPw|ƶk{$%X3MK&FȂLgr2BSU[_).^/aŁWJB0C]5sd!Sj%d71$~(bd|lx)H;3]l\q ;{H,]rRp&&fI4<~2P M":j믥 m}zg0 ͚_O ,[;khV.x _4 Rv`!:>B"W':WYpn"~E䷏Q>绗t~7Ns6M .ӋĄн  S2v5E= (+ZIǺ@YEԲ@t_Z-Юଽz+41߽{̏~#?ȶKp%ؾ/ ;#Dovd?=gӪԖ2c ܜhnlRUZӾKBKU ~w: G47_N)eciܗ ƔQ1Fգv,7v q$'cld*Ʋ?=`[6=iXYDtL9IY1rJїbIc}+'U5ͤ'%Nmc rhmGyLݏؾe#5d^ٛ[ "zSwiN>ܥ`|=YSj2R"9ؗOMX?Ɂ[m*B/έ2&B a$ p+JS94kX7t\?# sr;oړBCi,!Hgޤmt1 3Xhn#+aX0!<>Dpp6[G[[K<cjG.K3[Z;H-`_Ya@= SAKMx:*{ O`΀ %3?>,Z:0<Es'mJS  .2ȰX0# +\=Xe2G>>%?~xWyv<[ y#յC44@Ppӓ)[ j%x̷h%j+uE[)[g CjKI<{ذvgO~/ {y{_߿(\6&d-Mg:%qWk#}^K _wsp{EFvJ_V_|El+u@.c*sG2~*s$2n(bI҆ӥOOٶc;>%>.ḺD[BLN-.tu6t5Lcg5s=iec<֟ٻ(ƍ,g}p;O/}^bnfv8izT\?CYi%9DݿR`!.n88x kgCFXƳkL\h2%O ?=Ʋg' !r8SL 8(yabI< 'Sø,mfV]&Op`=Ia.%P$=dN,֠d6 &}0^X;Yaq-Mk{FO6{hHOHZzciN0az IKj12ddJ-[-4 @C?Aa>,Y5?_<ɂ>Psq4م 6Pcł'. $B B8>xWIqEBw )I|}=}xOD3|}o'7H`8̥ckɏwT' 4)Uõޣ.b:Q@[aǿ& ItAoGi]tVVܹ32 Ϝ*F1~\#\;B.˽%|pN!y<wI]iwxpㄘ4fQ։EcKAotP""N!f\Ҡ'Saz=,FX`ia^00# (ؘX* 3Y^?/[ʒ:wŜGRBQN XK`%eE'!Ok{WVXέ穩G D _8h[bGm-MF?D'.' b$$zhrcIMJR¹"+pa>&*lrqua@ kŗ[ؿ} yzqOh-AZH/FBiIn9ٙ^Y$0ZݛwߺٴusXNn'AAp3 gC(>N왁?y[b4305MS=+e\,nd2sɉ ={&e`%/VV?5 ib% I fKp #  ۞<D="q ?Ofe;BR Ss}1Z n9&Ҍ4T >4u'HM]b{ kr4 ]REp@ !rl2^<dxan*fY 7q?~X݋1||,poģ}fM\>WeRٽ5%h1P/+E tJ'2ةs'u2CG}'ګUݻwQ8:dOO3}v;sjKq,ᇻ):Q?(ϝGytեoڻc} G4P@)8SxNio0X}v\8\l-͌doMETwl[-G7;GKLuIP(;;*Ĵ[#AQC7vmIPGCtjDFzZ'=k. ;" ${aހ_H<C3I,xc̚</ JKg;Cn7dcޟ;gO".& ElңtGxIBCyYd'Q-(-&@'kHP;c=g[8r2e1>i ]q- ע,%DkRI1.ld100 O,E^{),l.3}|.D+ aMd=tt`iW~?5sv068YpGn"8Z `aNx,!IxKG` ֗"1m ! }qrvQo2qgj& 1@C[Ab (cAk+3+y?,|wzR@o/tܰh%yI_nꄁ:eEŽ` pESݽeq[~xX C~.|ǯ/>^ɝ[~LQÃGNh` =={V/(Wp(oNo]C^xڅݺұUjl{F ?)+ޞΥR/d|x)s?Ĕ|߽ÏW^?*`̈r}&cQP= M@@Ȓ\ Wx{cj8b Is  6*-r#V@LI ԛpV.b3E(~,/D4YHgPJ0逶6[7oW(˫d@AhQ]*<튁5a$+F6҈>>䥔g}gꄩL6wZΟ Q Zl;wpv&$0Kջkg|٩!#QgwfL,M$8itƶo{t¨JTޗ Rx{6oI3 c f*~"gw.<>e;+Ȋv' wm6.NW,ci2P[_̿謅&ʶf Q+a§ w`^&ApD2޾䉂tB_}5e}3}C(8PB1։)S zoOwe'_#o̒E(M"ߟP%, {;g\=qV&{<HCarh=|}͓thO+ąyӣK;5PHJvi߲.t(m'ڵо;ϥuzuCNغ4tL>y?IwOT}Q:s~6Ϋg_{IP/x \;Imy&8~xnV'3Du$) zZS Kk+& 7n8b66fX[(YLvl\FzB&C{|8<1Dvr≋rr033E?kOێm¦-x#WTXJ=jLfvvB5toX{&]ۛqbix~X#gsdrN$Dž2qX&LŽy YJKIuwY9w|?CBBd8Mٮ[wZ]Y)ԊD˘5edKr~j6oY81GJ슛fwww; F~+ 5D'Nё7=Qe`\I<gv,?Sj6icI [0+>u N1[! 遲v6c1Nn9 ⌷gB9 #XwXh߇c &6Rq=g)Y]qz{aCdꋶx#KϿdR%\i-iw:ؤJꇿ +ˑM`h$0uvtT' \< bڸq<|Z k{yS#~x}o.Q[xzm?O+\9NB|З׿]t௄.AGe{%erKNjԮb&>B ]wtd|9{1y/7.I8s 㛻'Xx [V/7Br/o ;DžP1U9sl9y)&K;8B:;$H >d,_8IKRΡ ѵȥ8SΩ/4,gƔDIv#'U@6'E+Mv\MntODs{S3ظv5lپyf1}BZ4ӣAt5q4&v˰ + 芻ߣ2)J$59<*j8a]~bܝm01N89Q"'p,lӿFouN!GrR1FnIEnSH^/b~?Y6(A3œ8v6IOclnj9dS[grpTi4Pܙ6t .Z|=K-!IMm(`|90K]+{ W/ܕFX:zbꏣG< [INKMĸPo%lDoX,^A"SpKd|4ض,Pjwh1 =vlLX/wdЀ:3b _GN[ fO; JQ/<|?/o<yXӹc h!A"*U@w1]:;+һu,VL`cvtЎ!K;m>g ~O ͝KI%D|ޥl_$,|&։@T >yꦘT1oXV-nmX^\IQ t)[EGr"߽U'KM">=3sgA+W+'41mX5<y:1ub#kV%> $!'a([x+[GwgԪJݖ-pS*W*e5|^ҵlݶkVJ7e]WZEC_10B$XXcbaAmm9u$geQTZ+jn7 7%7#B1z녅qo3|v&K(rX[;ѵ[w =8h }OV"c=+15zbWG=~8>7:?oN?{ l$T !}iL %^:yuk,4Ax$-ycUWs6 {9w57ed L^D`V514Y/M @z,8>ަ}<dq1FL;n~xbd큵6.zUqenfINZ e#Չ"J#Ept"AQ  c!AWB^vN&sfOƍ2O~WDxh=ѵ#5M"2܋0 bB{go̭]SvJW3yZLx:L$8e{z7wQ^9oʕt-A?}E;ҹS'w9.cEa}]ի{]ta~ӭM[w?;{v.Ky"| 7K0}\-$T}s]<}9Mw`\2#))eL:xGvܺ΍˗8{EyJ+oT?zdF>a1x8dg.\2Ug f<23qLmX'(Ș0=}Rܱ mZCt^p۰~h+^>}sغfx%DAߪ}gZK:Q?z8GM)GX2lb(ʥPsHm} $Ut"Gs3u& 63™z?c+[RV_MuY dŅрn؈2!No~$m9F][3@oջ31ȕs2Jٵrt52{D.f KW^ƣs ?u)4rպK+"* w qwQ.hbk!^LZS>K] '?֗f.zv06wZ[FVsJȊb~O&2IwC`L2I'AO'bܾk=?{*}hm>Mҧ1DN@ ;^Kctqr*>lj3{޻Ưoӳk\ڳ˼}^~o%=֮@mui=ٻz;qN]ѻ7e̴߹Gw|ݑZCѥ`ܔ=[w7OE瓼'ѕڰ>=W7,nS.;HyA ԲZtJ(ʊXn5&'=-8X6Y]׮ e$kJ|-L8SG1NBS'fLê3HdV7|,d"l2Rb> SǮJmV<+Fe&n޼yo^qklڰ ު]K:jݥ-pOGlbq /D;;glL h+00)(ȥMw򓌫 7DnzZ\)Xd￾ƪSq T&HmEm٫d2ކлz+9$+-!} 7Ob6p#܇{ :chLfg_r1STuЉ\ݼ '26*M &5cK[+vh=ҾݽTTeG9K"wDv:8 jvNJF9`0LDW<%..^89`b茁-v~8;cg㊣AY)TT JɃ!⻕9ǥGhLtp%w p*0YAmdoy%yJ쇟)EdgF`SoJ02$VCLd<W-s!_ۻs~HD6?'1JXxre/__;Ǘ9wh9i1.hy.#D D (\ʣc{zJ*qPك%巟ީ^(Z1ؿk y;˧PS™#;(+,]8IG2Z!$򳳩(H H4ϛL Yݿr7o" R«DpZWʜLl,cѴQ^8"%x̘ #Th:glO 7qKpIiӾ;-m1nI/-+cd6[._ڵ4 p yhBˏv%֏}2ĸCeW@c'Mصs;$>vVHwS$@JuqwՕ%9f0YD7VӇ={oގ0|.)pDxSCVz C(D:;@(Ǩp* ?oȉeq1,j!EBK+azu3439m!l=+&{hϩe<f7f~nՉB$fxca6k!ZkKJ`; O7S JA#܄8wl8XX)-;`%@ˑ0쎵HXtřdLJHh, 1 ނ"b %"bJe %I_L(/?}L 쉆U7gD, %Fb$0xb"7HCK1fV8۱u*~Jw}|+퍸] x~Oo~oօdѿ]쳿H䱅3z[Jҹݻ ;K6֑aC5ٹ-anܸpL>RhRx๘K s2[V-`ڱ"=Xw$Ј=XAiAK? Qd鎽=uOq.XG`?2ԋvn])"4i-f9پQ (#$PL`ʄƒ҃ Ə($;8ԩSY7弴j!wa֪%5H,}oK?Uݧ$aZ:m=hE!Vac\-枱j Q8{6MpRAn.Ye4浫VL֫j ')b cbx/1nb9̟50(Y^G\puPqL )؈QF^7тyiYQ1(-JgިJ7V2UE4d2>7e,~R<dɤz($9\5fg,FųQ YM7j9&0fD:^)$ o< Rv@YHf&a2qfuA (^XXXʘz"@eNNX| aF"Ox|N#ٰA`_R<`_޻^QQUBDh zիAbb'7TKh1Uve a#<+*]ٶi-?(?˻/_xyK]ËGC\@4ucUUpAK&XoCw=Ukv =MiM+WϜ_" G7O޸E X,ȮVс?߾Ƴq0YSi]IjdL %Irg-aQ jn&׏8u`z2.LLr[mkD(Kb٢錨)%c`b 1,Y0Y&[_BqnZ#K)M,'J: )T+[I8HW3bd%7R 2wSI&?Q]U(=5CC|ߤfLHQiy;amOThz{b><',3{臛pLį?UY2͓şiӣKgz膛=njpKv)Qx(/ .'pjsH```bU`YuE̩+fFe`?I Y0D,.gQLYVk_7o<sU߻Zڪ*7/]̢elY;Qubؓ=Qr5|`uAĔf+Ր@?K5Cl00Z} k̬12sb`GO输p ,Ć _WjŦecGC%8$&S]]Š+C?_g_P\Z"뇆fgxM ƕTd@>jo/ir|V::hǮMkY\$/jȷ7O>8/pa&2#ڷ]Z}犦 &XW[~g{t},xث+]o^hiӭ]=ݸtKnc~Ƿb7yr$[Wa& #;gLWKcM1S[K HOO%+;7;f VJx>cǶUTeBm]>%)ޏܬhIq`L@j a,_4Jv1gH$Fy0vd2K)Cs`?>WoQ(޽;@#Y)ŋW|#O1{G6w]W]:%BR}M/i$ܝTzGI~T7q6>|o_`,c{p\})JᏏsn?+gO`g&Cի:vm+ۅ!r<99S' C &>C_FW[w-иqwwwww7B $BI ݴw;ܱfZ+Kߪ9zj@b6'$J Śɣ1oTTdcQe.f2.Գ-Mӳb0^k)198 %1^h[PƉ4/LVkfD,_XyKm"̙Z~T8;kQ2mT؆r8m"HA[ɂYȱ#Lxn.r3\y.-q Bdd(t !"<$($%a~oɂ?i!نQAVx fV!;= A/\il\ЈN~poU߇ґ-tlދzyk*L> < Q FH?|`dcCAd7|20F3p@? 6#`<Rrp˛;x,_=vлe%̞3jQ? (DNwݳݻ|waH'h62Ke qx[36Y(')HULaGFzqX=&A> nj0-mc{#[(NaгP 6c0d塴hjx_S-g_=Ϡ\/?g~6oXu-G_T2m`S`0D!be8hdge#3cMDǦM8b?vn\m+Ѿzr(n] Cc}plW CCS)t  @_$Fq Q̝D`Xx:lXm4MKоv1Rlm[ݛ m8$UnƱ=8:u 'o[x܌#|ԡ8ϱwۺqS{7[I<yo='7u?:caߡS3ukTÌmuj*{:7z02`=FYB vnvpzoB$$( WâHIDdL (M̬ZN:Łӏ/9.>_@{[32Kl 0$CC,xOOD;]IN HdOx&_?8.sA߆qvzf\;މv;yY}fLZM#]FA]\&D"bƝ\kUeSV4Dn$ξ0\y4P' F(spN>aV,iuOQYKrLR}OqvmCƮ><h`&$<5MXOWP] aH>{`㺥10SC|/F2i|Ib˜l̝>ifN(9SQ310 ;#+tCA+!CdUL4 Ռ~*Eזx! 'H$JF;\f={#֭s-Gtj140PF1p/(r`ggPoF3f!1#Oª%ն#!.p %ؿc-N܆7DmmOBSU}hEzR J Po@yٺG#qVܻGy-8||$ݍ)o?}O/<b{Hyb?r<p;ږ s8N>޿U&⏟~_t7.CqVOt9Fκ:ǁ c$s8G'= 15o`nƖP҇ mb8[!"> C(q(WQ NHABJ:b0ou#LBo¸pbLKU 7XT?8J+B=]W%W  ='$%!59cʋqa5cwӸyvNk8}5.nÍ[p\;':][1<\Y^(-!w'h2l(F(ݿ~}:*sgpb7.ޅǶ lXj0n<j+؟ Xx>C{6rbsc-5U+*P`$V||lmشn?n0QG|T0i^m͵C2Eb֔Y1I`?.P]OASe)ͩ\w ={~K=vShJ0f*&`KW ޼[xMgb X~&MT-{ T1m4\4Ssr9M'rҒO򐚖Ҋ>e]ٵ]Sq0H9-!wG, W0WO f$Gfaj6V0Mͣq<~z&֊s!Gw˄lؿp`_:O9ƀK'<> ؿ}j/8{a[_$|pO`̷˧Gbqu[0j2dGOsS_p>W^q3GA;L}e3SQk:PUׇ \ab"KKMqsunC$I1}HOM g/###*i>MRraqf2o/7XY2YHI$6#1wyzo]Ý3\"8緮e;:`<8o\˧fM_BD UՈ?<G7`>8J(HwُO'W98w|+EFNRL_ cKP,+m;8Ƨmx3ښ0'Ŗb=2&sK 8lGG 9V0(/$#" ͝mX0"1z4$⃑0y@O1&loFz`ࡌ=F(**)S0qb-**ˋ0z(lԎo_~ǟ?}?g3.b=Aݔ>s 1Bma&R侢ω rdU㱹c3Ν8u:{6CyȊpE&u 7:a_\߁'O :FPQV8c T]./n:. qٹl8vƅmxu(Sӽpsxqv?ޞ?OO>yգ8չ.>S!Bvkfo<O7Guc ybǿ&{l05" MنA޾ )lu``4vf027)_ϒÂv"G-~~ް1C<8IOg h $8\MGD*&bBB\HJߚq& {U}%2A<0wl.g0e($$ f`)Xx&:-ƶ ji@GBشv>\yc<l];Z{c#v.kpx:ٲ[ZѶvZck l۴ۖy)lLR;3H/GEy>&Oriq6MFP߾7uK4]܀bѼi1uϙ\'7N ͹cq1lZÎt9;׊"Bў OOx3CQS^NЏ@bf!:: 1E+(x"/#i r13 kF!/?A>4$4GU1RS If31H(*)e*FWlT9=UaC*<s G6aF[;C<{E%KdYbDƧU*ZХpFr|3qhkmgp6ɾ\0xIe!4m4l[q.dDž"VFF.~IH EJ޶ [u"]2-+`3k2tr<lk_F{i*omƑ4:(N7cOܶ'(6񻝡;Dt^]޼w/Ĺ]4[7 {8.b<ܽg.Ń+;܅208$`d#,,uhgs81؈60694 Mahi sQNc݋B6Baj,B(>\@+0 a1 R($dq wHOK_qosAA(q5q18yQT$pų8 GRBcAђqJtiMbylg_s՘7uODì*|q6M+g`˺yu]֭Y&wwJ%t䑝4hY&1 k)*W,ǴQ^4yK);Z#=|xvo]O_Yc)[ӊEӱpV-Żؗ\.SD>1nd#`m GsѸy 4 C sSP($G0[D zJژ`X GFRChh&e<(dƠH5Aeh/ 鍲4grBO[$ѣ0y$_Cҍ(/+CQafOC?ضqW2'~?sc].OԜ"Lի;Ƅ-iiN@^aZZz.ߋWN!+>70eøtj;û`8XXCE|XB1i=}f9X^_z+{`3ya{ZlݸJ-V27ش'wvԮN\9wD#PT;UU~vӘ#@9˸1Kg<v n«{gqnHg?!#\_ 0U(9la '{c FxX0;;Z–S714Ǎ-`aBgoyԄ!pit=<}yQ/DE#>1B#"}1-҆t"3&3_N8QؙgsLg <DR!_1׸h!:ȣh]݀e'ch1*0oJ%NBqhZXV>kfbk<'7P$LMa?AûgkW-F{rb9F3KLؼnn=_>I\_?/݋krh\0k-3&b\Y.JÇ'8J.x&s<Aks=ܝ؟@Xh`?OƏ(M,d% }egq@'rL +u`ĆJoj^ i*1( 95>Fp x9A72E@hLB(.+E1[UuQM˱z)8u08{:wa9H,]O6N&HNE*MClB*2 K Oȋi.?{ '.L{v6SF1A\9E"7@LpbCaojEr~ϯRb#0r3v7heLogdoaj]öcNҊ;:q"Lv vڎ ~6۱& s'Ɨq <qOӻQܼ3D̦ 0'Ois&pt2}{bҚZ0{fvp_ M.x͸ 42pƀ1YL忱Ï/+ܼybZr$,F giKI@5YRD hd'cbBl9oYC I]qZT [>f`ŬXD^^5cVMǡu^-:MƶeC߼l]XkWlm#wSlӼj 6cOޞuU(< gc27KrGxM?>_^V%` o? wo'tXͣ<i܂FͿpLX$@ΣNK, 8.q\:01A0DE~d,k\ Ɛ)c]!zJWS셒dYMA[gG "rԌʈҲ"WKS=/?Wb<Na^p6y~?qu4wCq4g30n^~wI$4$&P_0%~n_ə[p^&"E NkqK$yǶGbh CaAӬ0T| RRa[)&3/EYX:cftzKxhzlƆe8@Oxm9Kނsרٶ[pyF&;JO?r~љ6.w8M=pc5ṋÇWqae{@A||7.BeY&MȆf04U2tnvt6 =]`jNL ...s!}>l d9#}9,,B򀝽%\oo/jx_,^<<)C9)1)cw[|!:yF)Gn^<dPwS˦Q 1%7k+0kX5UEQnkoXmc)vw.[A}9t-+ql;jo3hÅ#p(M 8} N܈(qlZ2\€[0(n`չqvoYK"᳻7rħWw9زq l!:QXEYܾx\P/!>*)q4b )dJA^V"&.b]1E2yJM@AF* Rd5E9iqXJb,>RO~fƒerL,KCzI*/) )a ChbmT,hkZ/y܆I]@vEnS-{v?~zSط'5AbZ\L~\R&+0ctx|Lytz% A.X+>.!ogEH:R8 {[KT$73ht4/E$b,^yӪpjNEc=Ů5DٸjIgb&,hsWêyYM3{ӲWmIUjZ~֎irsx|<Erm̞{#{cXDaNܘRZYoiL`([}nba 36C4A ֎pbPbQıw[; `"2. b * QbEN<oG A7 __^`ڥJJr9a-';LU؈0Q6Nf1}2fOuhXXU磵woYö v8cq܊{ czf.ލܩ}8 ]ric;i>I8{t;E ވbFof;o\?~|(+3鉜:qhhGǁ=)FT xxqQ|x>HOF.1– т u)D2*0SkFa&1<59@32s(V%bqEr!EDj\ *bZ̢a[|{njʊePE"'+kQ]=se|^NWTTXRlذ*~-9^<&ad|"#ܽ7o嫗xߘ`5+OBr>W;<o !q7pVsn<q  qM ״WnЯ7 QQV{кv :[aMĂ)c0,K1}ޱkʶa6lMrv󱠾<UCk?6r޽v 鱁ضa9plh]9o*3ܽro^b  ^?{Wcr̙Z6llL}- p$ d Sm8;Q@Є@چط=&b?fmg t8Xt%Jߐpye1*.aшMDl\"q쯜?~{~}/_^i]L^\J)ٚcˋƛ36s$gcZ,Id\mc1xj8}=mhƩ=JQ;•q,~q?.CЊgm8OOAW*GwxFIc-E^lr?z?|6$]r KMO*7qq{@^ qsrhĶ,0Ey( c1}|%zV Ƃ)WxP ϖLV"!z%;ŅQ?q,&Rf$J]Q\K1 4̟X PZ^r;%Ge޺DG+gaUc=ήOWT6O4'x};8rߛ,ge!93酢b5ׄk}yCJsk5x$^܋G g܂#?#[&aݭ cS^#{ uJlX6OHp<8W.͟F~rL;Vܬ[KĪؿ ϡ)\3'h$S哸rh\=`t\1t$nr H޿%4IΕ=UTXLX (afWsS]3&f| h `nm SKg;X KQW*JG_'CۡMLB )/R/FD#9!Ey"<O& e<4ZvY~☚1}"fe9FPO" `;ko*Mok 8{| ~o-j[v3I8xߋ'̞-qv4ˊ모V8 'qnԯ"9C|z{|/cΉ] 8v7o+ Z |˱ZC>.%*_X 9 ir'TbBe10^L^{Ս`Ƥ2/.NPƑt(:7x~=jY5|m=BNzJ Ӱab"e^LN(/%/lbaQQFQЂ[o_~=<ȭNs߾z/?᝻v:SoxN]}#3'A|b='7HIIENv9 75ک|d'݇pW$z!Zu%<:o+volC#}; #0 {ؗ-MSaLQN)eLQh]1 6y4ϟ8I=8<סsl9 jK9xD?w}˪9sr"<^a5厕se/ɣsw; .c)̩`03U> ad C04ւ-u@j NpJ"&,ecs:0N8 bհ_kd|j-?OYiG  Sp >>A~8' Ċ<<dtH;h+%8z2q |(Ұdn:73ye.Mè$eSؑw.;pbO ;I1)pǭ틱} nA"M3[˃+pv<~T>}OníKp ɭu~~ܾ.Mٝ)JOw#.8"9 >4<$EnǺe4$prƕ>ᵳ{)06D`3#}XGkĕ)inOy;"ÑGQ4|4^N6p9u3%h?w?mdEI0)U%4 [9CY_m\Xli]7/?<|?G)иxV.]HA׉]h] IEK9ķ2pفiU$?xx22VbղrM+okmXpѷG)3(3 I 37 AC]? gɫbUA蔪2̝R ȹQ*D=EE3y,b i\aд6`)][A̒c [8cwl=u=/@DK+ 竇i@޽Ƿƙh[6EȌ󅝝1lٜ <l`O`nGK v' ,hl=̬0`[f2#l푐x9[>>AHx(cbMĤT%g !11LK_qokoc()CFf C0:'GRv 4ƚ$ dF0;^&a8uX'M}'.P\>Fq7.IUWOxz )<{w(ezpf"iY^ǷO߿zÛg3W+K7CKl )-v$EC)ŪF*(7 \ƭkgM|оPSePT3C0bW_>&j5Ӂ&hyD4NVz0Wpey%(+ݠ2F)PKvlf4UNԠ5"[85=- %ֳ-& y"TP<l؊oR4|b_~KgQ\]0(wn݈c<qN:?~? |I߽wgN MiTơKNۊGw-rAF 0a?c3}=`Tomwƒbz%X"gPUF8gK@MXj!6]Ս9vaA}-:[aNM] er][UOyq|& ͳw(,+'W_<okg)ܿ~ +qdF*07#&0#xy'.'b^< V4 ΰ!pKkgSDXFL$ / y07A?vo0 M 㑘I/ҥg#(OGrrϿ_^ʕHKBIQ,Пm: 9yk7ʕj+`* [vlZ4@Q ^Ûywf<z-˧3^OGg9< os4d^[ue|s8x?+*x~1O/뗷 M/3#||_浍Xb)_<ڱe0-e'd7/X;ÕBYqϋh"( 0k Uo + 8BoMĽc_Uſ4tG(CO]64lľp:9%^u ŝbKE- 2&΍xx~7xz?p/[0Chر&{.ϜiSp!?~z+]=w{wv޽#hd8ęql&\GlDdǸӌ4`.c0G?~?r2BU>^rZs Ta8,3o9"G7̞&4XZX[!󾴷ٓP^seu%8w|\l޷gP/^=CVkC]c^߿wݝGfth(?Q@kR; (؇nAMi KC{gW{n  5l #G2(ɨk+C-"<2Q\N f!^8iraYq\93twP 2lhjZ5rڄR; ^ԼF@̋vf&?ЅvcKAl\6Ь=̓xvA2~xx^o>Ƌ9|yo5WN xr0>ܽ*Wyr pL8?< =ǧXz6-!X(<|twƳ`nE ĸ2 *(Be*_#ir*?bLO&pԇHpY_l?uq29F+aHUUz@Qš/tGW)<aN`,V3Y 6Rij(ӠϣG+-A$=zH0J(.!`ǎx)~3E& t\4.)عyB̙6SǓ7?𵇎p]ȘcK 8o.~߁Pfp7Rj/x3ۃs߹ֆľW0x5'V~Ԕ hm^FݿkzT*'c2;X:;Z`՜ Le<6Lǵ#۰bV /+ƕ&83OԪb}܁'ʭ ׏n[kp|k"W7]y:STkZ>M+f!<2m}v4vR &}8RחVfT6reAQqLVhoϘ"*yx#>>Q0HK=@[email protected]{;,#ɸu9rs؄8 tLP%ObЮ2XDQE<Ģzt/C 8k=Z@r\;fk'n݅khmal_́׎#&<uoŻ'(NұMyr+^3b{"?OD1<<<~y{WHxx~#$irnbr7efK,Mkh ue}SHsrpO+\])T u(FW H$ ā!iHWS!1>s EPTxnUTQ$G3 xZ }(@{+y4 (/+dc0X$% (+GKw)7<44w 4ǂѺ~5uf2h̜:aO/ϟSx L:bںE*9(/ہ]DKfX_\<i<ĕWg5Ŷ.ԔT1ݟBlq+).+q͙FaBC3wfϚ$EOˊBSeZWb'ޮ8;V MH`wa;S-B$Dj+h<f YW.5xlEDLڹ3!4hܜ+Gx#0be4$~{ )[shh"5RQ;c)(`lM`g`pG|b _Ȑ˒""("hWxW`ɲIEcou/|I##‘8TDjue\ʷfl"]tPʒy"75%9xt8NkKc^jlZ;MEV2ܶOin7?'n7>@Ls~~~zFq'k+xj/>(wqd{݌E .=M pwv`y\i0$YaIgl }} !ǩ1?dz99|i",3='G 9 iQA4ΰ2׃><R}<ZSe \`nk?댤ё\wJ[BqQļhbuA M&,+ Kqe33͖5rkɬuؿg;ϛuQ?i<jUm ײZ߿x;8ڌd QcPU5&}"9 v0R}H ǧqkjh()#titѣG()v6Ȣ15/OѰ+ĆUi)V/-- kkб}Zdrzom{p?x40=xt$6,i0;GWS^кbk<|o_G_kr͓g/'`>y-\gqaM`h ?m,,}n0IgH VYAPgﵰ4 b4E9(+JQ\ h*(48Vi6BdAdTHdddd\ ?b0$ƅ#-9fznW_?Yi${ED`ZLc˱N.S'KMg-X[GCuXmY\sXVbZ$D8c*F?[76ϏѢb[|q<ٱ?=/ef>>>?~}m\<qPNob%k4ocT0<DžShJJ>y \8Ks =-uXFm;K |38z2x>lGNM'Zz4 ښJj:d41I & ;cjӖI{Vf.(̑_8,.&ˊQT^|ƇB,_ _YzK lbҲG?zv=`4cV_02^||nBFh yz,IDATq5? GPtx*DB>ڍcۆ5PWO/jûu};L:V-ê% оfllgn|l\(ȳcc :ػx??Nj-o71_ޓ.;c-[_ó'S1m98Nny 3wwA[+bޅ}K`-' ˄!0e-d325[tĶ$ +(a(͂$F:cҚZO^eIi `r.wWXsHyZ_ZnBDGbʔTEióMByN\M1xrn*u#ьݻt8=ǣydmC)V/c7ӵ ~~[||| 1.߾]x|zO.ӳ;8{r~`Lo8_Ďk1on ?&57[~=ipy|s\t ::gM`jd]k[@ [[k8;"b|x R%#bݑ(_S:1r@AGќiE|rYOoprc7|k@9XA(VP(,' Dž g?E3p>;:1oԍu4XL<w~=[1kLvl@BJ<td\Y}%9~<vΦ0!(DF>>bkj o7g>5hkhw2)}agm*WP65bŢihY=MԆ66iVPn(mX=˱mB8I{gHWn؉=o]%>!W w? 'ĥ߿79.ŖWˋd|/'b*Nq7jFw7z˃nN rALۑ `j*L޷ _M3BCYy![)I[ :G;\mm~ )' H=.Wee/{;,xxvmkC FdT4BB`֋BU 7b40cƔ a\eƕgb:HKز\'vL .t-Ƙt,Y"/7 @J:+1"뫰mtx{X27OwObwr̟Tǻd1 V@(I&>hwnK2eټl[5K]HIt\<Ha=#cPqUa0T a 55U6b_p4Ղ. eWp{X٬`0r8++@WU*o3XSHY! (?KYY} _o/dLL1,H ZW5.K B|~H sc=fLX)4 sfLуh?>hx><jFipvt623PVRe᝸zb7jEω2c|pv#h]Oo@mc`~o,_쫖 aX9@Ӱv B'[2Uصi p"ƿSK ];WN\\9 ;WӻIi 8EsgxDL~tmqh$:~> ?}}Msxwȷ/M(K _SG꺺Ğ,UgnmK;k%!/-fۀv$.G "$"# H--& i)ye'7FIWлϷπxLB͘QXH̨-Ȕ5Z(wPLX(aӺRX)aѸ,5%&֏C-ƕbL8iAغa!ԇC!>>2掃Nۀ"8f'Moaxk)oQ|Sdϟ|VOQ͑0;7[11; ; E0eȐ^PR#:#~ ~{E*LuaB|k)d_ S*Ca,@[ŚFi~: ㌪"cz 1Q (+-X((C Cn~ 1"<w= 1gT̚5'Oѣ0eB5O'3ڵ Oh4~xAN !ZPb<27E^~xnD>kgpJ?Fx4ځ7ΠyLiL,yt0x2z} ! HMMDG{3V-%W,"ޗcu:D>MM\ۀbW*ۼد7,%QLXڌ:q6\;'(nŵS;q^b%_\;g([V&1YX ^Ќzt_ga\,WKp\@1i ^]qu^ Pvuu C1p0 Sׂ=19-= y2DibۂhRLbsY WE[ObM AR\"CrP\(շ'c@J QHOIeV"Ņ`Lq*VaJU6n#Nk>B IQL d+}|PgBFfs.l/*Rƕ$(=[/b?Q]%l,'_9-'t&W;}X0s ̓Hxo㰎/ּ;Z$;F\nc߫JA;(_&j hɒ؈|O3hK!iKD rA<e&ek<4",MuQ^?W_j %eG?+8ϓeE(""ٹ9dX8g!ܽ~%w01m8Ujǡvl?|?>o^+"'3IF #? G`?'K^]z,[+0P qu gD[fFP' QB^Cѭ[wBEش aiRt^~׺ؽq-ڨ _|} lp-vQƱ:pV\>gmw܃;'wo߷aE+޿w<^'ʘdxÎѝ:?^~ 9? ΕXH:r%{e(h.LLH]7HQ *Z4 4!.60@ c` ǃ,0UlK[U~xDR3+' D DjJ:c3?&ߘh$&!8 ьu}{Ƿ??_$Q;q,jj1"q4y9|z & *2EzPi>ok*gzreqÜ8)MBd0'@M/=-|Z}EbjFb__WfT+opqܾu Znb/~֕@7㛘Q_c`Ϟ=C[E3ÔAy tS}mMؚNV5}<phzbP +Ɔ:4fru) 0X$gW |E nݿFhXxqQ@\,))TPVR3pu"V=E`rz\<sVɭO3&ġvb MyC%Z6@Qi6"`ha*CxC7.Oܑ=xt4"ma6ڃC>=A˧V|hR#)^:p|-I\mA?+a4-s6QwԒޖ%ضf>wM+phj;}`#Nv]wqv,>"'ɍxƶiz|^=7d/V) G3IJ<=d /W\$p++ޝ<=aM}8fppw*raHM@L.bUBhh(D鲉QL;?O[dHÝ?\Sg$={|`.$F.?/)GuTWP$l“1}| ,L=];(-HE~V<%tZ xt ftKMBia**J3Q5irߔR4-EؼvhCv~2Gq@+͍#454D7gJ -.Ҍ[[r.hݡD9udɔ=xd8{SDכ⿯4B(eP%ȇЁ||x\Q2LaH_()S|(` EI,տo/4D} C@NF3H(<YrY0 m i ƥ3+k߿d@ q>*1vLV3_OE؃'P?qL1bJ3kjj _X$zt́ $9-em/ +M KeCCC+)c(CzCCmI*+sց jV.Dظ͍ѴY:[^ i&vĖ ѱvlZIAN=S&`<_$AY7/Wܾv\ 'Il'w69 ij{"Q,u/fME$ 0, ~!, AR8xySĖr)_¢FQYp򅭫lĠ4~ llM`fi,X8<<diňxdd=f4ٹBAJj ECc?:%A41$MOxy@G[__4o)˕jhj1pS:h̚\,BDb_>Q!hm@d#/5)R=]L1/C}]1fN*EQ0g̬-14 Q-Vkmaxrpf|zq N ڪR<yxݺ@߀M"_ɧѸh&.?@?w)Fdx&`qu-zS@Ij"r>y+[5rnAaP(  }0C^ޝ1CԌxD0Bm X=.u}5 Us%[33Rld"+S$E>[^AlK0et<彼6u8L밸Ǹ2TdaɼsuOp_X't`abDp*pV4eCՁ~!&D*+|cLmEQ$~?DJJB\d.ZCE0 [V-B'U fv-͟s'y$,E=YK좰رa\K1یt7;Mѵ[c\j^¦3 <sNf*&oc;bѬ13c,2ңp/4XBT| i}H/++ 9yDg"iV xݽDd%.4׃oQqq#HihEΚO[r~LF|#QapEd`ů?WbK*2 e+j)."56i1>; uXMK9})hR#hJ oZ$Dx<߫&R/LEY^ JrPULNYغa1 RƩrRpvܱ' ߋ g~Ɲ|Mk:|~K '? 9T=S&ʲa=uC?r~У݉_a$$";NR" 2=k޷o|-_2tľX1B*Jn"n>~n3e((Mrshs$ b8%4~Aa sK0n߻,<JS0ulXހ2U3'rwu\҈}wA^F̺ܷ 7@) UB['"k˧Ml^Z(#fan-!0Z*5>Oܬocu@Dzغz>7-B:4͛5sjaT-zbAX> W 8{=[;lYګ:<w:l,.5m8ݍx%V\VaɌ*;)+5P78 Eu@ǒ>5 SA;U"Io>2ȏaחKݩ%ãّH'sFcT(×,/&Ҳ wЈ0j Kxj=iԂB2z}rhz< S壦,LAۊA\JǨhfRdcԁ^xib3&[:e9(c 8D,[2 m x@oX`\>_'1Rk1ًS&ŋoyض[6/Ǻ8C,\0/M]Cf<XC#<nNn={R!yG1`P\j=/y9_u2}PŋWSQ`lU" _N>( ۯP6cPXL{? YYYϗQ41Y[? ů=[mQWW+WcMW3X0&6'2;=HL:^12GTL8B ;sr ݋:q!:[De FO{n='.a0{{{p<**PSP@ƶCI.m]砝o]CVvULr83-Kga*v6XVMfHN?L?"O΅bfY&c4ܸ;c23x{$>׏ӫ_:{}rbI?"+#,,=~$XG'bX\\tua _$$D!PLupttIgzz?/FNVT$V&7{;,̕_Ë? n6ԧ)~Е:| uu`ifXL2S&Uc2r`RU.&Tdc ̚ZK(반A}ެXd:1p\6]8o7LF;Z3E;oAp2v5ak :(fӐ@ԻX;"!g+9uk#GY|z\RI\?,lǹC;Y ӹط A._g؄bVJJ:{(` S"_ :#GȦ#JgiLvf:p0ׅa?YNq,_/J)(PT P{*aJ2њ PQ` w! KMI@^N*3I,~ȣȧp Ogε6iSuPE)@bф?߿?+Y)$VN+ d⠕CIL *#=p6ܢ% ׭X06&6A GAIañlT gՖΑIW4V.K( eݾ{;VcO ٴ 9~o]>3{7?Љ#[̞6?؁+hxNd˗.Cw^(߹$΢EÐDDPX B 0#02J>ǂEl00 QOQggp ?<Tg_oYN. I A\J ӑ Ȣ2d0bbcVpp_V:&fп/Z$5BK}$cbviԌɕc3Q5X2sӭhY;(SHt1y>w JÕӻpATQ(kZƂ@;ܹz^$;/ذoDi֓5|y{[^1T6CH.NUDJ "C;IOиp&<!W^puqOG~(E!F%Ji+ DR+Ñaܱ2Dzn-DWkF@Ero)_BUuc}]0\2% W_}KB EZj2 rPRĸHFY4 b ȥay>>KQ0'ŤiuXފAEؽ H߱sC}B``K[gd'cVu9OQXM!/Ӆv#&à9½xr":[ȫ)!A0RaۯKEb9XD`,زd&75`8ԲDJ&Ot-pbئgvƹ=d|`.nŝMIpe:n[یvxy0ߧY`<9ÏOchZ$P#%>1̝<@SS @ wg(1E kQ]lQp'<| (O9"-mMx  d#.)^L1OXXܼb,111'?c_d\XџԓM c]ci !&xI5?1 G"/3'c|q͍`+&[gm&;.WŞkp},lDh9e)6w"7ȱëxZWz7 |z~_:ŁNۡcûrp!)on{[Y ["ޕA>pq󀮦6(UCEƀh=} h)bĀ|omG+syQ225j& 9R}w=bPE Q++#U)0}ʪ *`En0 ALOEnf:ʊ+KcvN&PS5g|ps)tMiY[1t VjhͲ6?l޴N53 >v)cP?y"&b5±8u`;ގH-h+A߼gho] |9ÃYy8gQ+ϷBbNgbbX4 ]K뱕}c`Mh[H<'ssgv5¾fZpaZ=ҁ CooŃ]xvqݎwN˃ yyp>>;GiVeV܇EbE x!!H\@`B8%bk#*ij;\=}?7_,}1Q(2ȉ@+ҳsb?#&I>¾'aȸhbZ$.U}?FWWO74#jLǗaJu&cL~֕b 3'bK"]<o:,܈mPoCXhLTwpjܵ> !~0];7ӻ[xB_MoZ6 wx}ȧe|_'On?> ?u8vM :HV[\UmjsEr(ѮF 0Xjv%eb_F0d35֗+ ֝l`M시fmH7s4S+DepywM}1ǀA0&'|}erbb@.˓('gdi~|i^յU6}7_Ld`65~ѱj[k))I|⸱Xx&.މ;;p;[Bm~w|zx ˻~ xsƄ̔ypײj۲4a6-CSI4;F?Nqcn\[ְpnw N'wisq"c]/l_<? /ă3;~,~zt >;ǯ//G'i4/o-Gfb|J~ }菂@X,3o+e__IO91B̊I@M`1) 5Y &D"Z?!!^>aqd-4khAnkAn$.M WS*4ChIlgf*1kxa(h]Ea)hu=ںa#l'vِ?v`Lvxf\Qܾ|fv4!<bx,Y\v`F=i&xy4 .ôic`hj4~Ngb[óx sEۈLTeTG.{M->V7χp%*A[KAMddqLA2a$PYL<O 3 Z#A* SQ [OK0x0ffr!У`7  INEzz\l(r9r1cz=߼_>c0tL\K0 NŨ"|䢎"@_?=uH^=QQ OWWX;HKCqaF1JK)jqB_2KgT!v&2ӴASf~1*/Du5F2(d  _O4LA©_8 iZ8 Ҁ}mKDMQ#Q0)=spDvNpQ"t`\'ނǷ&ILlI}z7݃r_ӭ[as w'&iaHWy؁ Q2ٙo7""Aq*pyœ b#\\Ʊ0zwxRX8Ӝx1h F"iyȦQ-2Q$[ ˿ǁoaUm]hA]#(j5u9U18I44HZCЯwxYWi+ټ+fR(Ԡqhlns{[email protected]?Opvi^; ‹{qfuxx(>C'o[Ē.h׏#$J(]0txr ܾ?D_>b3E(ѵmS3 ѓc9]:bp6X҅> Ԇ򜘘@WOSCbe SbX1 gCD1}csGiCE}$7ÔiCWׄ?HWC_uG# ÐG%II1|:%@qq2_^84J^8 SAq[dL|:G.<YQDī&Eza̘x9Y6i4gM𰵄6 F >ΧX3GvЮX4w&͙ F:#d<H @o@gl\:Vسr6~Ckcҩ(jwokƥylMk{qP;݈;lOmaی{7٩.:/鏗-›{^qo4?//Ǜ;ex,ZIE5,4AA$k8\OU0Ǒ(hoOOwB f60wpW|)s--y:ƒc˛c*1BQTg HA^~܆0<?,д 5 U B(U4աqŁӣFs bj5-B9Xpf3h'>c{q(J ph\8;.Vy0^>OK4U݃q<%ۗ8&+2gыgqAYBQSLlRUf&Ťxx<~N}kَ@_Y_9ZZ030Q075(i#~HL`#&*%94d_ǰ#CCBp09@U]4#CŕH#AG[ z}6Ac1|8"z|>~~v5F 2ӐEOOCq'p| ǬL7㗟^ BLX!ϛ3rBVV&LؿMoޗi~񀳓 .B|P=ZlC)`+AYN614-]Dav#`8|(<m̰ejh'K, bŕ~_X{)ػ|kf@l]=;|J\q7h,o#<:։';6<"cxyz^ o+{A|s5}xvzo# UԹ0"4Q ;W/b7-14 rş`iL261i;?xˉX+Oqa/{RK#./)CtB2Qġ4?a M0Ț֡QαeL^EZ:011C}8W0:t"9rhlj^+p(l[[j Cg Me=ø|]q|;u"]b32})xz8. 6,ݳE|}Mܻgv(g(WcgO7矟M 9vn]O`f##+*BLSB_*j2?0Fꎐ+CijS*Q,+-Qj2qHC(L]`0zvX2\I!@cŸ-0 =m(BN~[!/Z8/& ,Waʢ&C~mM5޽{~\c&fx]s7HI/7o?>QɈ.u2 |ihJGa (+P?qB,L7 AV4a}g}-Ke9.ڎC]0x,7!ا7Նcz$7}5<ѹr1v_Uj]`[l_7{6,ıjF\n*%g>Nn[x9v5yb>&ݵxt ?<:{ѼWbli!t67& ĖqC+v!} ĊjCCGcO@4:* prt..U ZQ"ddd1]s7h8g@:r߈W&t)(u- (nX~X8ۖ-Bڙؼ[cI}e8CQi+ѹnDپnZXC[ЖF&\8F(4n߁DIM8s5.ۄ{vv 2a8MQ1"Fjuw Ožݏzfn\QH?xF.=;à 4Zɣ܋lH?χ!LSPTU+dKc /)/Ǹډȯ2Dd!4.~!t ݽdw;xŒÈBVfՃ. 㢑J#g#KdJOOOFFz\.>s&6Y)'vfM(Wd3dfEN̨)CJ,ů ,C6&pMDif<F& DTfš$- a4ƁvBTj 0,K0&?<o4)1pujz", S0#SS|P̌ ,)qhIŪ XYcvl2jt`k}! .m^&Zh蘚]sgN *iY蚖ӳejváRn@۬R̘(2!A &1 l41FA8 5yD ~<dU` _Q1$xPl28FxODZv*pcU= k0<+;$%Ic_qs$G% PRTͱ.M\;GL[[b|g`o[@L/=*Ǻm,lXQ/W Rn[`sxs|ƀ58{;pxZ@d?{h,*n3ukya/FA{ H92oo߼ w]rE#qKBZO q{%#@ScLMJ>#x#9)!>EYa~$.Z8cV_0~xTL1Uhhl(=%5(*+3[9Zba#b41N$K;0F-;ֶ6HHGNv&I?%r -#YfJOHDݤ K)b<KV-CY8 &CL85-ý[WH򄽥1te> E # an0$=iH @rb=(_WE!&i8$GH#i1A2?M,}T;l1?:J/䆺#\PꉂOd*)S0$>0LȎD]~,P?* XW||\j0ǡ63rQ1$)|Wajq*;sFe`FQIDzh_Ty1TqK0{3PC@80nsXec<WD""1x`J)j <~pbbJ.p=lh\Gӑ/azLVycȡigL 7vOh,\?ZԡabСP&wq2h(w=㱯MD.\k"{{([cXX (J䶤- e,8wmq~< vʲ[rg5||vE/GsJ %n'G̜6 ߾~7.)d!mOA~1\_K#@Վ,a0RVĸ2R DyEΛNǾp!z\&MC*q/DUU5bZ|TNDiBb-[h+OrKOLdľ(tuq4ami8䠐F "YLN+Ye1fn|fs YuctTO,W2v]#^a`mm}SژCA;z<4S^r3TƪTޏ pANB].+9"Ŏ I4^2\I'{!6ގL"u#Q( ']P(D)\{Jj30e`Rv,&YeX4> tuVj0%?(OĜL%)yS,hmʹc1kR j Xd3FU$9$ə+8J`򻝍-qNQG w@ľoH }qQ2=m0pjQ̙)1uL2Yyԝ2¾'Gid(v#ԡJ766cawЫy8زN8бR+3/ݭ2MѹlVymfP ޸;P4-KpR߳ZqŃwb'jžExLi2~~v|sGg`\Y!Fw <1sev;w.`le&Z[hC]/LaiL[GCC #0q@$҂9(t|be'+, aIx"τXN dS[D\Ҕ >hil,ahl?03DA~~.vqeYlEHMZ?y uo L;gäYSb:3.cTy%Mg6-+p"~P8R_N0w~HOABbܚ$8,1f(F>9: չIHwE BeD\h0lW?}%$z#9 ~HwB*(3nȋ0QaBlGfFE(13tROEnOdLΉÔxLK~ \qrRc10 *8LX:9K&ckI7 cG'))iHJJE2ATF{^(Jʿ +D)D__?6YU VG\qkdA"_M7ctL:ôieLM׿cqd!án5] 4HS4h;64Lu0TQ,0F`|q6fjsinZ[/kprZf_>låcbEF9ApH;Փ||nKqܽw/]xpe]݇'.e{r0v҈%w[Lv607M``j =o=haɧ@RTeԄ&,2Uz33hħE =X\_BEzVj' "م)LQ;f4R, 13a#BO1S3c莀<G {{k +:Ù"<W` |jkq%ٳfOL$j놅L.$w_o9U&#G2h  U '!qfw4B h+#<["^ 4> q!cP`r}7nݳ4ް0VKUC`>C<R#dsb9ᡣ=6e Xla PBx; 1TA BTgDku$X@&24jlG=X>?S`TPJ3)ٯYJHD؎XؚϾv񁛇;lI8  )(D  Iӂ(@6{` Pra OB`PI")EßqowO| Vr>}{o <xH,(0>h %9/#]+{|lo'`R9axk\~xF\: WlƵ[p\9܉{gwv6.>Xށ;l$3O0];{x qbOo湲9<|0a|h39>FXJ}=YZzPa,  6_F4nȥ)INhu)q^?a,Sli]Pb{JU"W#xa yx b)3eMHZþr@R) t4iX牠@?E0SAE=FfҌ:S y"yL!i?‚"'Y%0p򂝵) i O_1OqEi |_}.!H.F2 ւ썔aK̹[DmyMuhCIaEq G;@&@]i&eAw^ }}} >A_(Ձ}1t %>Է;TpgPm>a2Ç@GcvH/ 0P#!0suEy T0ج5e # 0⫊/J*qe++W^~-$!:1bB.&O\itq\dU9%J!%!:.q?"~_̾6A}cA%(U"811Y.m_ F^~<sH!CjA)_sۛe7EIZ3 ;bg[EbV\<Ԋk':qvܻwnÍS:pf=UQy|zy?_܇7!qűBǺN,m գѰ`"C&@kCR`ju'c:4a8҈<!<7\S󦢣m-0SLA\|1ƾ'kPP<c'a GdB*i~+GXd"AKl=&2Dfb1*&XJAG#4aLnWKϿ+]!!!h>~ή6#)5^^/ 3[X[r~=zgݿWqyH p9\^p4Q"\d;#mx;z#, ľްȊpd t(O17ۯ0W֫Tzw<y0ui^5*/b !9FuPM jÈAy{(LG(T}Lx4R} Sj QzTS&ÇAg8<u$$Q_^[rꄪJkPU3'疏!+/t_^1RsxΩ =_`L.EGDd,y jhX^psw-L`fa@ 0YnY)2 PA_Z2jMΈh$hs<'U_ G8HEj!C`@~HAE&z0RPBeQ.6X o?b_R,Cת8о Ė[q@'n]۳ oߏ'wx#pvަg{pl'ߏgK!x cr_>LHrPkGU%X-* (`dKn!W *+or uDž 5҂,;;%4bY4cjBln_0T*D#G}(dl=_]DG#ɧK3;b64Xj.5h2Ƚb/l#Վ );9D^*Lz`@Tīw/a$ 89K_/W_yf@z?x0K^o`zn_W_w B.Ub|*<m`gW 5[tCm ȟw." GK b/2#=1yL.r0_տ@BBgw(}C5lpj*}AcPoGC#tUXC  s>E>crL<5Wo$|aKNψĴZ(MlhM>%%%.GVFҒBOX]\AiA& yhĊ1 Zc\\(hjj K|1 `X.$[ ^+1w<Y-モndo{Q$N 0e X$pP:yq^3Kѹ|v4ciX M ilpd ߱B58wkf[6.lŃxM/i؄'DpF\>)Hy/njfj@=\EQW[蚘`6T5ԡ<BJjjՖ  s `滑hÂl  xmsQ= S'OEPX1&qAHAUxt0A14`KʋMafa 3U5( \@0HYEȦJPd[Ē …3u#c(ԁih0%a=C^9zrL7ݿ{n |)IHC%"]dpS an#-< `x{RФCdV5r‘d;$ZT߉o7ߢǷѝ}&NM$}[o}>עc0cﺣ{!={BXW(s"Ͳڠ9t0"Tb6RI6&zNä)(ٿ%H-FZNASӑ(2  9)DR98"b?lN. tptFPD$bS3'?:))HHь_x ȲEᖊ1+!+ 9"22##2JURb%u[ R{={>?[K5OLY8qkm߾3G##Aj)Xpm$s Bn^bb:XQc1Xa$Q#1a$UP1}e Avz<zmuToJu!q$Nqdy<>>>~>oOw㛟?"lgϟs,UWO7$ %QWoϞߺ߽ox _|_; j,H:":ʊ"47{J5s0c,L6Sسg+JL 3c541$y!ZenZ\F\ͳw ,hmǵkQ3˸pBc zHI\gAA qyf.*H沣(e̛#JUuUU}Y>B5yL=q"1K=~ m(H=W'm68)ΞGKGR0b$FQ6؛#F6a$ 3Yw-УBbSGH>qzndFAV~dDlNߎddR誵tj\K"vt 2i6P<^xÇ(ڀQ$^`"1jpd#庈/7l\ "8ƍ|$#0^^ 14g9 cؑ4'dd3)4a^, =85/GF^1IГI23"-'_a9<:B dJ{݊[!\+j˙y~!f!%JjvJ9ymSHs쏐=}=Fh#GÉ}v LW؟<i #[\8CO!ugڝ>D?_>6>@쭻ՇGW|x~_~1Zf<eWO_>TI7Ւ1s/o>Drbxq=b rPYZֆ:ٹV/b 3B0y]6x&RIAؽuҤh~7Y$ IаZ<v,587؁k`&I+WL/</>S@X)fq~I S򑔚GTvnK_)\cc8_D;{'M")N _kA&҆c'` ESغWOIlM(?a2}$[LGƍ!/+/+#elP@ P1 tdv$i {w1Վ(~qf:S2tU0՘Q[UԈb¨ hi  NRQ|(Q\hn43DZ=Թm"+3kR!h Cp؟4s96O †szLߟ?9ˈ< 'ˉBdTe-EFv2s4'eTqC.%I)((,P;F  Ȝ|~fV#H* -bUjjj/((?Q醍=㘡@K5[x[W4{tY;B_6kgՎ4t۽:Є7Ǘo?/z@n_~|!~c|GO}~|2{)F;]+o'o?FjR6]M; 압h'6oY+W.V9ΦOFȯmZ Fc%NQS(LDrL85DxqD?\8n]]O_ǽW֓k 6h6jbR-,-$+E:ƈ\Z q)ľ%Xv*XT%0 YbDQF/ǩ6)('}rx;S}gM# AИ {Q#hǏİ1prG`؋1fLydAb*GRLZ}i1{=暈TK BNEn&MZU#43 );a\廧&2Y8> ⫇a1<AY7m/m~(10n$G@[CO"&{Lyw_ 3faXJhLhg[Za*ˉ}td .?'[lr%'"=5mӶ{nڵ ` 9JbAm-b~*Z( 111* @t:jLy,w,c=`A@PmUoi17g"<YrO8 $Rc ؽ)$dD9@DZ UzJMq*i)JAmI*epkr-PGS -hWQvgZF n-zj0P_:-Z hELU_m*#(`؄磈#IeKvhR#}%ɪfYSrUto=:HKAF|,Q Κgň^8уƀm͍:1EC4k4f7.?f >EL JVйddByiŸ8_D0?x,M$s㥏&+1.hSekV#"+ o{0mƱ_L ϲF("#|$zL>g|l&Ŝ6`Ǻؾv m#w]kaضfV{7zq(Lݏ8y),qA*M&)T#P5v4h~cxb`ҭ_"T2YΞ*-mPŪ͝?oB]΋rcFhD$0TAEQ9Gi 2X\YE_ĴTDq<IzrDDϣj" et04Et6م$$Yj5: & <|x9Ly,QQ'gAيxNx1{Z/C(4({O 3v,pU{8ޥa"ݾ^ml_ a#:! YĨ0_y)(͎Š,'UlIiSPS$ lڲ 2Q[ .N<|_j!g'[ZFslRq.tlDGIZSmV'b4´Oz #񘱁X0/ >3ݿO DžE 79^S-,UYnNt6ڹAUe!;w00;[k+Јx0X=[h Kҙ_Վ88.:"ڶ+Azr HE ajYXmby"8nO<y3?e(\S0w9_?+B&`$ *0fO0B8po0tnj@m `ژXz#VY bX:kC`ÒyظtǦ~=Wc8'dLhl]KT^$a;l`$bvI$cF`;fSADR=ǍD $ƌ|Hi8YLĜAj}+)6Z0k™2t筍Mt*#+(56;V zd83$\:$<'Ī-bh2RQ\VŁ4ŢcZGg0`E9O!v4\l:Ԙhl`kGCK+n7iJJUOa32m泬A_fT>e0B*<`EՒK`Pݺ;˖i ۍ$xY#H9(sJINb.,/ y*4ilr|* x=Z^7TdɃ*9 Ȍ "mZ?Ն& qndsa_/\0ar3aﶈؗŋfu~95cӺe0΂iÛ7qUٻ${qȥ[M-/BǢvr${&u ZwN^Եt^~X0QTFBXTMAdd>*+J}ZX61NML5ǜ &O' 9MpK!  30{8A3^ h+c9qH2=qN)Xr֮^M/u2CO[<x¶`Ղ\ڹ>b چ-bPHQqΛNJ@L=Ng5Z2a/>8׌C>ju>)a>?f4q>y$Jz<{>L]q)Ab[4woٴl!V.p{rvzAMPDiMgj-ѡJ S$7R,5AE%U ZPik UeՂ~BS{ۈv8=>RHTȟ~H4L8&hfL J=yI޷1grPXo۶6#7-{ZXwl@]H!!b_IP2;tjL 3a(Ɇ,lj|T^O8wQ;Peג4pVCDG.zQ8>9ɨ))g(?{f02`7B._a?fk£qqݍ(dKM8)tVƹjIVOKw]`ჅBnrxף&zͰ:WX_kt !!ďrR﨤XM Ԓ`{r]'џKC;wPdfcƲY3\wVqO8n"BƇ`)vx"$P7>}>v0 M$'&؈א-zŵk'/b_`ۼCvnîq~>ıcOVꅥ g*,AAL!<ܜ`"x~/nyq<"m<҆5b Ĩa/L{?5h<q/uA`9*+bŬXhs̯\N47OQLi4茰fbVB`2P[وjr~i|,=5M- ?z iRXe6Rw@did Hր\&@ԧ\.  ~_ $@^/v,O9kEˣ̴QRƌGrJ'3H0vd"0s&c@qG#$ۃ`i<`D+gLQ aF-a^<`lx TbhT,#ۿs=ʫ{V$f5>Xhut2 8H!3N.;4Jg{<8;7g7q\;2~iQQY .z?zۛp z7u^=sFfw#$ V 6x;`4s3`dVq5KW/@h⩑{ql?؟4V, bS06F%hҳ~6m.j IHuc&N(>7};jD UЀ},m4Ҙ ~!BD2wL|xt.`dOډ*]!<8$|16-tN,޲a1&5؍RE?Q"b4uFp|Xf^u.4Iq'`" :=c)j3dP,XmfΝt2֌hj H+F^IZPӡאHhPE/hI)x-<>%C)B2.&$\!y]C?c 9$)iOQK^j09]$U(Q}X@J-ҕԸ<u2#0sEHH:$2KH6n\q4ʣF'3LN="E6?~|0fƍ|v}XF"㕐{kycJ{A_:WVcQSM:z<zx 7ǭU_ء6e,֯<|p Yqx8L`6_F<ytnC\^Dډ{a.f]>t7x/H_&G#,<oI$ӊZ^3829UA^FZbqؐ`jFJ<Rق_|k֯֝;)BOcbta1Ha:e4پ3sa9 !F173|lrqI$DL{1Eˈ ؇$g-K SۤQ<CgӂFbjH:o:tzrƌ7} vq ɲ1}G? #HF VߣHƍ׌#K3VrH!啴cHB>WHDBx}X gN %&c݊9]&m]ĵ9EH-.C&I6uvi[98 $R|\XHUjϾ*`מv1HCvA KR$+OY1}G䢊pSLodk@}S3E2{[^:$CW`ޒXj-Bլ } )+A&DR(I((Ŵ6 YO"'}MF>lhs4mmgm`]l'ch8 G|OmY@]-6'aXDApܻ{wn^". IL+q8=d<֯Yf<~: Sڅhe8׎/Û=:BO 6e%j򡫥C}]X($nܼC`{:6Qe5&h-.,l)ԠTjIp9*`Xd&e4D+ۧY vm'}0Q4xkSǚ1i6/(7#c'aq5N `q|,DL9ef%&`$q?^`_f{ݛȾH;/m*FsΔqjov~mfPhHb_y#(G Px"a'~ȱįeZI`E9G,? lP$/Dh[y/؂g5$Ṵ ,%e9 *=hFQH+"o4OW\RUDC=JeEݻBJ2EH$R2s I_,(B!>9#cy^i9V *kkhV 4`Am,9z' ϓ5ˈQ)5{!$d"F_Ix#lظ~2O!d'&%F>F1"_O"ljc>1|,cfxd~M{l^W-v.eTT **fWMذ.TgM "W@O#^~p9x+8oO=[W^-ܻv  Gp"j*ZakooA[k{:౛ҽu0{ap5`ǒ1TW5/2󫐑Wmv?.G-Bl<8U4oʔ)쇑/c̙3G $X B ђyKlN&G+EA'uciC%sx8ۈ?5I 6m"q5LB܇L-"g d|rU@0bdP#^x1njgqO!VC8dؐcć9)~_(صĸdC8| ^1y##]O0D["}5 = (Hd64q|]H0>#?CP_sj<, CDM8΅vl곲rl6M%Ņ*AQBU%~n"]8jRKdD(R@ dyd s"٣+6Mn7ZzU0A>/֬RiVa%1g<S0M4e2I&!Ps67oV:F g61bf&Cx 25`1&' : >$ ㉘6DVx^X~/I &V-_ ]Yos].sz %6T$$x.U@[S Lj8M8ׄA! чqˇo C(Aba$Vۆ5H4{lAjM{PW 6hM%(@C"ռVZcsVڐ_eDJA%tt ˇͬG~Ivݍm")b7خfc통Oa,Y /# ,]JOfޮ0k\,ݴS.Ÿ30nt6~(1ߐY1u\̚?HUم]s.\8Z%X|f̚8NT7 LoB`xNaNfL3:/W KQ?Vɿd8q"ֳ̖ jDfRE4li}ܳ<Iɓ%[`kM73O&3sfIL3h<`ɂ9XNb IR6DE$Tf$@K6T߫gVe8PM1XWHT<؏7c 8}))k& (QI6jjyAjiN)ft@kLoiI8v؁_zXMg." EKT^B$X>0a$fwC?f0yO<ӧaU4pJhu}ń$c>iAajIit#)6GSERi/$9CBB_I^t6,ñcavB49n8%r+H`P^G04g8; -|my6±;P:7pfMjbG{.]Bք*" $QN sEFqم,$jk;SI##cy^Gy[xv\ v4_2[0"DyF0gM H|O^$^&A;%yS1eD̝9SS,PALCr VnF[r VuC0c2ĴY?s6N;d1d0LJ<4sŋg`$|X G?GfE0;&"47!AeQ}$ 'BM#L_,6X-UNM ]4Wu:e"${P,J?3xtk+܄m׹&yz텵wӣX^jM w`l݁Ԍ,6J V'tF:)<.S:Up)qUҟԩfn:JkA#S%CWۀ9bC/U4IȠ vWY4DEIF'%L>4 S(ȧݗIq\K;2A`S`+g8F1s%>BH_f^Č-FaӖU8tLVRhKqB \:}~.L" 7~NϫmP+_>7_{Euq:bE8mCnr|>t58w8:ۉ}?_J34ķ D웉y=jl^T #99Q\H۱4t&RS 茧pb݆ՈMƑȣرw'nZqU2i36sgaJ0 p g̘31`'Ϝ=``,_<b<ZL_j&̤X<ש*/5sOM~Up>a] "j\Y| X`LF(̏LGY -$_W]k5n8FGS5>ab~ C*ni3),gt9oyRs2}LjLl^l_,ySz<,3 ΄mM:>? ;דmz=3KsyQ3!:K$HM{ozr (6ӮHv\@CKvArF2@5<4vvq̣7/ن\,l۾'bjr<8Zs.$ouh;,m0> zGN%+M sAİ@,J^N-aLO L= (&Iv{h|L1#<N8#(>HͦϘ4[lDll4/GowΞj^f;y6,58W?STf7qn8w3n_“ծa8lF5?8DP/Z>x6\8wA*(7סA^נ8a>@A _bdACGvcHIQ'6lQ )蒺.5/6mڤvq S|-y>mjHL-=:~ }BX4o}xeS&OX1byV̜@Q3$},bk!sϥ= B=A\#Xb1يübɄ_;fb0^5cl<^5FFIvKD]D'gD(w$p< BQ/[}Od{'T<Ξ>af] w òųdllݶ5*5bz+܎z8^MFF ~S5y,1WvþLUA _Hdx<j9dHƁV h *X K$⏱<;!t~,\ (eMؓ-~ O!4!sV BbBҏ@I|M#Ι6K'I:j/@]F*Ah<%Xzd<)B%k.BRIV,Dv)rZ:Y2r K'xwq?+Cmz8x`3wt~eEój 7%eQHI<9d56Úٚq ^khMofj>TnT<0i< -բťt&Al߸i1{;`dYr0;wmš=? Y*EplYbv( D(禍8 GcehK0kb^+WѰ%؈cQ d"9'7qغs6nޢvm@l<yg1KKsPgPW{|)B ^hԞ9 pBP(ɘ E BHJЩ|T:YS'a<?yV Ǡ92Vf2X3hl,_keez"lZ;6˱m N>۰ms="woh(HutjvOҌ&tf tf74$z O1G-I@Ό|D=X+,)Eie5=ŀ~! 0eqe ljh}S+|lu :"M/v9⓱bF,h>Gh%ƛ6|&>Q}Roъ|*Z+yf͞I"q2I*0$1$$ 3|+a0.`&kWnB 9X:]u a|<sfq, .Cݷg *) hK6 9$$!}|GN3=^%Llrcdž$!H؋'.oцH^jHQ__BsN7oߥM68V$-JQcsġcB&U]ȭ2 $Î2C?˄bɂ(đ#<)(CT}֛R=y˶Xv5̓rAu"1y!b)k&m:ٲ10s֠ީߡE׀\lݺ{Ċ 0mBL=XĽ\N¹jj,^0<x5kp\4Cix9TT$!4e_K.${"˄I$HxyڄgMND;ı0 | >bEd`΍ؽc="Ή][`uۻvέKqd;4UEp HarZ>^Rj3N,;+!۝ҡDzD,$(_)!ըPZCjV.ҲK*)K+U &J *x|#1XtzL,{YsfҷSP/'Xk֭%_g'VYcI"P{w)ڹwbrV/˰~b&T5k` UA ZL?3c<h~d h3HQS=7cypb; t _}:pNtc֍XHQ|O_qۃh8jviGC ' jǍog>FWȒ*] jhk( jUXMD^a9 F3̦Z>˖F^^ caNvt?ׇ9@ES`~2h&\a 5ňI)J._5I&ٲf#F~$LJ\bS %J(cö혽 3-?Kd˱r**b ;S&Ĵ3d BOWv`ilB 8Y 6kfvuKKs(VD? 1*( A3(F|N0 K; 6` "EG2k(cnݲ~5֑۽mނll]vpZE-ؾ%yۼn[Z**KHs/QU昙&A|,HO$ë A,=%:^7BCON'!.)@VA*jj`AgQd  2KWU֩ ԰N[.#c&LRRl\Hg~NQFK-^kW&LWs,E3d$Lа͢_qr\˗/\8G^[:TPzy% `k'"tF3rLJ4Ua!OS2"GO?|ڕO^ſ×8O0#PgU[.[4Q Oi'}a7jNn_Oq&\mmh櫃PFG j:`uT G};j0ա@cG΁J3҉""QGwRO@N~ Yf e7/k>}š5kTv…ՄiI<3s/ˈ+f JI4WފM%b Ǻ,79t0VLK?g|\d1bXru ~`"EHPO~ |lmh K +[ Hxtz{O/\Y@#e,$i31٦̠Vq7U&%s!dz 㱄{Yk7(ܯc8ǰ]۱wzۿ_#6?G8~/N'L hrː] Qk2A#7' طwNPeH @v Q _ ʹF&H@ >? d)Rq{nܒl?U[@/#F$ 0mt 9q n3ai xan#{!4?'ODAA2gJ̀&@/s)b،0QK⯩dg$ﭐu0`!)JC~adKuص誯>\9@} if͝EJ|ٛ>;ekW]3=| #eO±tRdιN|s=]N~ fvyÉtut uj4I`x( HZxlFBJ =ϣbgJ%Dء]T߹c+JEcAdу8vTGag{qd; h@G*Ebvh҉fEkWit4c$wŪe4H(-[*[cf"%CD~s)% w *,P:Ɋ| Q;0ZIo}[|}*5س}V;1Gv#"߻ Hm_O?8TYiI(ȌCAV<cGB%kjKʲcQxX*ɅZ M^,j𜀕 >Ԓ>Znr@4h Y45lzl$69GbI!""y(顷H*F~L2H5[P!fK|T՚2 ဧdV2g~_G#n&̣=oZ ?tlx#dYi-22Si*PNRQ mE4nMO+d+:[\nˏ8s =lu9u.dˀ*v>3Tee+Eo7'7H`fO]i~ۯ>y>{.*Z?wR=#t$$Y 8_}::L@r|8c[a1ކCAcnVHNnbx([࠘4>PP:P1Ri񢮵tBREmr\!**bZ~bX16!"*BDD"*$yxxCdeQdB"cHVÏb>#woz=\>ݍ0dj_DM--6E8/")5mILK"9 N'F8ҥfE(Iϝѣ(0$gL^CݣMT[rŒlSd.='=QM<'fٷ1$B1'Eng(řTA_OADRtT\[ &2xDidShlĨM֧ii W_v/Qg$%V$f(hjT}OIαdTZ 2ȄxdFǯI[s^I#(r [FhK*v53hoC-S؟H&bPnɴ:߸wlCNVM%y*DUQ&t*ŋFq_$]f4BGxP  }7;h#Lثi"k ISg$%Qdk/AO7u+n50vjϞ_~˯TLo@_} 5,،7^̯>yH^EF!U85+).@O{'ۏk޺G L[}p5tG[@|Ĺ3 #}w\iI),KF ڸ1N$$ƨ&%Iѱl8|(;}^{r RPZ< Mٴ{\z.H7Ͽy|IXcs>,Z KVQنk(X%k_wpv O Yf:Ľ/X<a92҅'O Q^ >&\EG:~r2/c]S8QGq\Ad&D(eiYuj+cU 9~+x$KPSFF?fXvF7NS8{f~v NbO0jaq7f(=z] JQ:~RZ*4znnYN {㘱8ݨh;?U 7@PYH\+F|O )|z[oQYċ%xbڀ*X<ylfϘfa5㘓\RW/E -=gcuw~F+Ǵu#>1ЂSiDW]m^ Z*_ ZU]=0 鱰.txjA;B&Qs,)oKUۯ~}4hk߼C;ǎ-2t&¶Wo!|;8@6FRML M4ap$N8v7nܦ W)a _|/,i5\ U.ڃr~F11#N?Υe."PR_n<x cG$'_$\^9LDJ\h]E!>xs|ջ˯ǟ~7"~ދЕkb$,Z!~i(XFO8oxq}̛O?"7o'dN%0rJڣ}8FyG}#?rt>b(1d}؁6C;{d#o {܆Jԙ50&S;BKy!ϷhqFlegܰL vX>⫩6"EGf0.oqQ8F/ǤD-j)RJ/5$[yd 47|N [<k$ !Y@ [201ܞہw=LFA\{S&at9s0adڃt&X tQ*Ӑ>NbʎP`UY."8y:䳽nu&4׷ui:<Ӡ!7.pρ['xt.=5ӹ~-&ٙ^[o>z 'xx^줱p"NP}$6#!<և$$Q(-.j"LC؍nvlpqX9xz%, G:\6@KXe aI 3>7EmUmvRH]8vl;LW[&FЉ&GsGH#"WpTVUWnョPoU{窠G29U d#';Uz5ܹ؃|d&!"&;E+m2޲6-Ƶ4رy%J]PmC#3$+yܷ?l7Q oܺ.+wzFdbUeشm2z (" #fR礢\ Pג`sɃ* ԔdX+s@ !`+C M 4+yiDtV7Pq\;Պ'pF\=ތz}Q@qfU>YCfԱ- Dnۯ UBcqћ8&ԒI"$YjE%ȑ<Yv >hq 6de"&>/v9zwnj?M[7@I9B0]@<3DzV\L\>?ր ~yνxoɁ& tס/wW}gpd .py/wpϏ&3>v4\˽~/SO߹WNן=K]H;P4ܱb^w/>+'mq pj/NRQ(޸N,uwç?ΫdҊBnoCsK+zz{10D臧΍@orPI`=_Chxx)1)t]iDrA4?V'q:v\r!K󑔒 dǡIxxh DF)G8ȞŅ9_@ pvv*ʊQ@+k}$+?#W/tEY*y h857kIb8xp;ހMbEX|!Vőj^4 l [~aܾyqmXA')-/(3.΂Y[|4ŰhJ-gAgC_zcBN67(96miɂZ>S=v7Nw&\?݆';Hs!ݮtz ĽdiNԒ0H-*J Eya^/m-6o߆T֚rRRUoSM 04<e#\u *yR$697ԨlUkI;cyXiUv@iZ>( sYp⩙6 ଁTA"^C8 ) N7cǏfr_>Aq߈KTO_7ԀpQ+w{}Јh}|wOkgqZWfΒضu O-xt =gR#G)ǹvV`eXrj*(޺;W7/O8i PYRzO\M eVИmĻ|QҎk frʴ #€J0֛p{8'bݪPTjF]ځ='Q}e#)0S|CwGSFL yyHȈ%Gj^||3=r$ D ݵ7cz%o짏ߴ~)kW,š塪qBEƎ;c8g+_6byXCq.%|GIn~ _Fgì)E6 MMN3 bx Zxj+hӡmDRހC-ulцf wNN9ۇ+CJp<NbR_K@`rDoƳomN{雛4|Nj8| k7nR3[v@d36jG YUAiمE(*Q&_z%ݴI>#}+5w-=ۈ@.~fULv ]BL8Q-ِL5yIqZl:hOn-TΝ@polPLUǃ6bӭ-~gh屣ٌN;)pbyW+wsC C(,ؾu-Uo xFjY{94Uyؾ`|Tw!|z| r"bW;c476̹ бk\MиP@U6҈SfdTZ\UZф#Q{梊+5-Y-- dY M"$ (ן/Gk -CT OGfzJcuݧ/>~ o=rڌ\(ډc+wۅ]{7cPP:n|\ A8,K(#ic6m܈˗҇,ޝT`KQ(,Hz4%z*, lTk3a0Q:<M3"`.G|eWoƉ'z!8Fψ!^ǩ^:ޅmx|h/No7H$&hiKv46urr V-8x`VZvE+AY~ K$hh ip)~(A&dry,$!'?s;\P&h=c+,]$ 3g4`Xj%d0 _RjԔ8`DAV<Ug)(ZL8k z8>7. 0jN;]nǫ;6^ܽЄ'g+kHTRp`UwW/A\>ь!:0]4Rd}g [j7I*dPdnfV5 [ٮ:q`p-]0{a0JY"_ FԺawLvEYeګf%H!߱Y<Ys1qTnuDKf!"bqLf)XDEo>|nNVfJ)B4fn PR<t6//߼zߒ<| JlL\*D`x<ۄ2s-vlZݛ!|FCG.[ٶ]E8z` #8p`7~#ڿc vǾ][q (dd@[i~VS4&"F}ŀJE' A@Ok(CS49pU[@qQFQQm-(osaӁGe kt\/<*zN#B YI{NowP;:$8$z^/ރiTSŮ=H I=~YIO5ZbԆrT$#X(D.8i(q!bHwo^gq| Yjˑcax!Ƈa”I#ˍ/¬1k,,_qw sWneB[hXu978A7x4wU_2t7pۅ mHqS{H"xDI04_3x <w74P.|M| |E|u\;݀}8,Nٵd׿|'w㕛qd 6S{.5e< Zډ3xkS9OLF#*`0lliG[g'ϝE{wrw"[c;\)~Է1gK/j-:I2:xpz$ +Pg!.!ƌ°OabRe!BbDDG=}8/&-_GPl+bX\$$& $!G(ZO_= LdӾG~}aXz }\5^=`֍˰"l*l~D  AfJ"i$ 89e$%y%n |bky,T-2>3I+:Ftwwx#mMe;_/VZ<"XplZ*h+Nw8p㱟yp o߿>w]-8KzA[#>blA/jjlj=즨 #9%صoބ{dԃNJͰk1m 4:2Wҏ-vY쩧 aӾ#%'{tƵsx8nps2 H]P9^9{w"?#+^wnʼT&FzlNpjI`䱈}P4L?8'a qaȏ7^:7%O֙>ی'j>*>{*>~~u:DoW)fcR??}';gHeqam1}rY6MuZE<}p >3bb4nⴅh.sF}7|@MVp?܍]گxdynUh(-ƌa#_Ği ("d+hd>IJdQXe7x㸌Ŀ</>EYHHFj1b__~ G<#s0څUkbj}zb_+W!", a{o$ 1.H )1&<vHa_|LޘBb],bԙ4hu[0#mtztTS,֔¥͇WWBJA;E"}MV_7珮=rx3b_Dd$~_AK^ `6Pc#UvBP}+pb/*> Z Z86y}x>c%I <~ړ:uO<2[|ϱ }NQ?Ă,d ;-[sgܙӰd\$ąS`ƩY'?da,}8I-JX ]V$ .5Qu:qSw~_)rmwϴ66^ԇo}o(l?xx_}wNwݗT!uj};7i__7YOn;ONa93`;)y.⣧p!~ۜvUkQcO NjϠWe|Qc} 0r uZ7vbopHn..ɤO.1b*p'.&rCa~a&>x O,d(EHgKv^FrZ=_ƿ3˷_~>Bei!(>ދHblڲKWLu3s2ڿ-mߋvȱGFG}H<6 &2 nSF#ĪAq>&}"YW!|uhk1%@<7Г΂_ 6uI}C]*^z#z87\] V|>s _<7/[<vz|pYLh$,5&[[Kn00hRhKljG)jfJٹǎI 5=%>dH@R@[$0 M 3%H?s;/?'ۑN+ he1w",XpA~^:i_T8TӰ7݊6_ g@7W[oEe xh,HsaG pB8af#tqeB8OqeWҕ -JlR̘7u+auw7Bq 'qh@ߡtEi*uĩSW.@OLAQ~#Lmg;Q𣡩ΟGK I# @7u F%JBh&r`ZTB!69z 3‘6cV8 qI$g%Ykϲ(x=>o<~O]ŬAQI t(,bXIJxq0棇߼}>{mfe <*a.FiY1ҳ3AU<OƖuKn<"n%)+HE +Av& " ֱ;yG"'=^{ Z YRmyuЖAW 4U^f~Ǟ ur:Jh&A.)xsrÃFf(J;pb,;/ǗΣx9Y<0tZa#1KDa $ &6d\HflT5#9GcHxW\DcCI/Aսpշ쬐E Mۡt\N:1wUU.Chf<߾w~7"d(\ #Ǐ¸ j)UpBU+dPĄBiA&Œ^ Pެ2/Ulc!n^FnP¦: z jQsw7ϵV/.c'CVv)qρvO g8kŝstfWf<?CV/_Cw8?a^nv9[-z zk9>xr ݋۳;u4YYyH*PZa}ORND!H@X7ruр+-kRk]KGu*l0mSx˶JiYH(Xb-d<^?dǠ0=ei0WWύ<x$f(?|߾aGgE )-:b:'3IBRxA[I+h}QDtIw$cCv ?+G@^F<5$ ]^a T zE~C,Zj~K%:Mh#toIDA;SNQtB'g<59u W}Oo F4[K{/o8(<Ny<^y~BJ c'V_|+\MtE/v^ĠA/*Bt|EE#>5 YbX2;YQ)3K³K8@%HʲVoEENْ׀vԘm*U$ +_אA?C0Ǝؠq`\RLUu, ۍP[XG/ͳhm,hh&M8mSL;kN{jm5pґQSk'U_ﱲh/+kql M?[6?}7o>W/z۽ˊör|<և׉o>~o_T0%]HK@^6mu>=}V\oꂅv=A#ZY@Qi}["ʈA`1I]Ha_lYEY2l޶Ym+1 HJ&:pQM"=f<Wx[(WzI(͆ )<.=))qG)6_s˷z$Ɔ+D[_cT)9ӆjjQ]N?kY8{+}sLd됒{">OlDnF1Naߤ}-HFuQ2KFIV"駴kT@C` t-p؆3\lƍ;ۅCMpL+pc'j/Ƿw_OnW\XF^,zQm'׮2 ]~~;fF,>]Aai#t,*Rb6%GpQ]CqPMor=ZD&a_1W֬ % ҡER'miM?(?J^(ۈJM+`Ѫ*[Jt,_# v7@_I̤ppl3;;-E Z(k10BW7.T;nUvl j@Eľ 0PxN\tU׈_ ecض~L?~ӗ/Ɵ|Ãhpt}]Næ $WMY:zeOc(3=.$ ;55i=D/LZOt^Q[c]/-07ЀR8WAo ezL#LG1bݻUCW id@|jr.KER SC~SbWQ ڒ#3*J"Dcbll"|o>Ŀc+#"c53'y%cRUV@_C)X-Ceu2lbA⫷Sa'_H!ǔĮc8oi{ݏtܱiɑ0dYK.ʊɉP]Jc<G~جyEYrsO9{]U8q7#PiGg{r o] PCgSxIw4>zxoݽmE= g}o4>;}h'!!^ q G@YqQ5 YYr gH IHE ,MLY~ 9u,1ܞہwO߼_Wk Ո\n%LAI0…DE֬†-,qXkqd7E\&e=vfRY@2`Pe8vzvlaAN:Sr?MG^~,R$#eD£рqVV&yxzƠc>VYB3O $O0|xЏTFFҝzyx/_'i}Бt49]U1Z 7.<~CΨ0,c'$V>Wm&*Il"YR@ U &&"hJM5%f`8@$ Pl'PŐű>;&Ī̂'OMܺ:Be[4Z`Wkƛꌸ~ߡovB:!(vʬ&Ei9Exӳ߭ 8ǩnFڟ^.֣3`Ǧ}֫l^I% ʪ_ZEⓌH}ʑ5$eД墄d4U4VA[[m9[)|"Kv-ɪn,a(B-`ɞzCEF9N;qW(&(BTqX8Ap ^}.J,jv=0$`$DY_V\Dڥ d4B88vd?^|LԺjDcBoUXp˺ņvLv"gQI<Dw[p4"38_i0ijE!W[u`Ƶ3*/'I+1'"4/]"әK6RLhd&EZ.Ld%b0i,Qe%VuPqqG#3vly8eV 0hû$g}4S׮^WP,J2*&4i/&×IA֞AA(C{mK|{xQG4 7އB]C7 p7Q,/NxZI8.(,->owT STZ鈼~/22v`z[X 7a1OGEEdK&[ a "bHdƐ,/B >}Ls*Aé^\:]n<⸿WH ldlްĮ C'ΠbمF?[g._=zlY1=d3rd?m§ rJQ/' w̔ӹ>=w~HdS`Tj(CEQ(HE8hG50uƩJ`)Vvm!l^c:)0ZYvfĿ,7jU-4:O:ha3Or5pb?Kxc! 2 }UĜVL[n 9mjk*=R2rOqJ4%f@kqP4oQ3RK+6V3Ьxyp77_C*7yeUI?~D-19A-BJJ֮_N Rc a5"PQLX^L{I(I@ajɸ%{B91_<2 )|3,թ[/ij4}ce0c";q'H<jcqXl56<;&'\k#R[8 -,}%>|zOD'YMIՁX9ݳg30:d&@SYmk#-nއt6'"(oQh 8.\Uq6)ujt 罨F]blݱ{XHU>(I%$@aiN|6?wɧ "<9Ѓ gqd- kGwO/`oɳ<Lv;Ѧv ۆ3af(ڼZٗF~CyF+8>DȮ@a >(2b˪V+UQYFX& a*S& Uw ,pהV],G"`b'\.xWoD_'8$ѕA9өR]k/{q)랭6[ {"evQ#ķkWon;gmMArF69ZB"2}ڎ@[[{6ve lp:TQ},;RL&uR,>ǚHT,)VZ}[x+Ry9M[7`9 S3kW/Ŧ+u:aVW{PYJD#;- zk⍍LY;= 1u/9N3V"9j;J3fKeZ؝M?-(< }En/7qlW-]wo; mq&1eB88'|z}/ȠO`>ˉFS Ώ+O+ĿǬUK(Aŵ75T=2}]' 0| Ӱ¦sw^>,腷8!bd$^˖R^R%@ ~XjH4$7.;_~%?~^ ~9Y)Ϣ2 W'0Uk:I<ތu'o>W,ꕶ:u~Neg$=x [9$4{mP+nTRi']pZrH aLFUE6rsbQZB KhA%6<-J+`ʋ<Lx`,Bv^Q SͱTNN+߸6wK}xr]˃:؆6 -^;KE-4BS[t6]|~:4 hr DG!#=Ce $t:iE Y </Mg!k0d<?n;XWo_ŧ+}bHJkh4&c2]ߺ`LN^S: fD"=Jrqē$("6 e%i(ȋG9 E=mV0fSۚ;I$(2<9J1ak1RZq/Am`Gznt =2c#(#<I߾_sbJlErxC/Y}"C"s 9HJ&$#,܆^>sVgiU3RDPj$ |6,GY(Z)|HHE(JC$8D0(x*% u6OS] <Wݍ)2iη /48ifwf}h5gF'G б}[T%҅g8?؈:p.:RnJ)Y4Gpn ;A 6SLL($^n7V¬+%1$ CSТޥC}jϹ):Hkv.&TsE<h%1QHU:674@cqGƝSx^I-VO㳚BؿRZJ`*nE/_oCJv ¢qNΤH-,O`@|d,QҐmlVN"kT[/I%nwCvq*Ҡ9<__~^}xA~ OH0 !Ӄ YN()YPu #;5?)gO4:*KAq^$s#G,GOCrũ*TVlCOGl`դWNiСS>I?.IG7:V/:}&R8qb';ӗo_ /}*+H!umDC~g5I"^w /_+͏`O >k=Ԩp}[JpmlXVb}d7B"(4RIfAُR3iGɧe@=6 P l;e$'ǩ&6 6>ZmE AД~_/[$[N]L'nCQAPZElGN~"G{Y5(+A9(NG=vPU. nܰfQlN=;K7p9ܸs g/%LQUkFd\":{w`ApdJ Кک 8y;jeK:Mi _#:G21ϩE7`hqխCmz|"YhW>Sy7.tܹ*.vhVSNwS74 zºf F zRZ.v S.נ\oDlFbgZ^bAQ)\|פ2S2r`X0`Y"Kӂj䔕#d䧰߾y[||}ŅXf1c_a6l]OSliiEq^Nv ?=ىH:Ԙ^AkB.7Ɂ\ W7 5q|ՠ/ʿ7olhV-}OxҋǷ{T&B]F{ʭ~ywo Ѣzڊt8ߎ|6[W޵>w,O mP{gKM.˧z%.EoГywP:1M8}·0_Vr~D1VZb_c`6uPPIac͊HںEfe+۶mAj*fb,RSxߓsS(ʒG#ݗ],ı^</)FYi& sc7wbϟU⻲ DGEBCOa'N kRΞa϶xU\zo_ g`uav*@ -T9^VV[<>^zvRZ=}FJ_w+YE =nz ~<lU8[~ڄG#o GM˧qq\4|G6x%Gܭ|,;e'@7{oG",f_ Q:%/%eHF}>?1"-glj:!G ȹS5Or~e77^BnGfF֮[)Fj^- +@:_T6rXGJC'( }]KBnQ:85XO~6&"d\o!ooA_C]'xz}r\9؄W:[oxLqAMY!jJ`)V7/_&kk6Ռ8D[7F 5o;Gy/ /d&ϋ B<@BQ҈7nuA_ߏjW7>qtBgPVTPd :TZ\a_IJ߱6è/i2,MΟg<_ dۯωk9(+L뱢<?(y)F 'OhtXQr=*TrznT[X͎ZVoZ'!8x$ށݛWq UcG{u0 ¡cv NO5}fb]/F'uX w{<cJx쥨~ wҶw_{ziڈsC].- LS3rto 6}ԖZqR^iXM[g!}~~8vW/[^Yc;5щqCAq~IdY K /Ax^$ ''GdفV (=_ ?s;/^Go^*f6a~:=ۀ{aˎm* 6-=٩"U4 X䦐 ag%#=# tU4$uv 2UWNPG6!g>v^#t:qҠGF/EAiqWNH[f#MxB_=w_F|oTG)ծVIv[ϪJI\ZBBc13~}[*t8L$fIAѯ屆Aב,m>e? k>Xirаԑ("sd+ eXj{0`7@l>+p&Ag-!9}5y7_ޠHkF :Mfʰ"oqƲ(E)JY5EQ X_[v7,ò9Xh6"?tun|F^!RSDcDG#jKT0G)QM150J(de1\j 8K!3MmPlC<od4l)l$ t!8?ЀRfܹ<WO'Tf3Q]>lR "%&UE,H@DvȐr=~6"|4TMUH MMǵv7j(6˴,*S^A7Il(Ҡ!؁W/Oz/~~O vހ9-QW^ؽwy8t02ss":ZsQYHt{hCJ)*bpI,MD&uX yVe%qԪ h"[괸|.w b\Dsn\;݈ncU:\܊WqrCAk5嫧޻78ih9>z;}l~4@!!rF>|yyxOnc,~ ZdO 0dVjH= $K%X ԸQikL١vDvQG\6hUF<]wdޏXb?:\F`AlX+w/_RH U0 hx/`X>_5m8ׄt4g-ǟ.VMq^G։K'{IkbT\8faszl,V4H/(EBz6Rsh;"BqVQY Q5eviqLHX5 *L>@% D8):x<}^ I-8K5B^">ܹهW#7s 8e6ѡ2|it:A3qogS4HvMRImTTCLb*p*iIYH#y(כi?^4_ ^j.kjU986/\&%Idd"d䧰/Ox{:G}- ڵ3LŴSxE(£RÖq!dg#-Ez:X+xtS,NjTK\߱זF恶,MK?ɞ[3=E,?y$ǟd {\ISCU RvQ)n\f[*߼>o"ɧHl)ʍBRn>w_kwnmAld~ۈI7B%8uϡ`?7kAwq]*t-jٯ: ~mhU~_֠H(J;ZƴHx8vܡ >|PeDGD"2:QO1 ~<⢡.7?_KrhT:eFcť(/!Z mş~zWhFY~6JK/Q3hH&[=\8ލfNg%s'a} mhmGqy*Z"[HH@ qIn2 TRJ M̆2TUNBYMaIa(UA0l hp2'ԫ](npL'`=Ǥ &Mq +:G.WpE5kQe(<6$[@`r>+EC&x 9ayďI3CW $5-$ıbv6` A t7}z-x!@  @dy.Q hS ʵO߼__}h>kZQ{l۲C~Q1PDXBR(dDv<; ;]HP MES%n̩xx䚒h.B[EQpl'^~{|7|(֊ E"O>P<S-謳ի|MJ?Nvd`=Zn;Uu^/KjX򟜼l8(ЌFlJS'd@/jQi 66Ti\f+65wM s߿g@=E"Olj E<QY#طTko/[ƙAFDNJF_QT^_7=G/9~5QY)h2t5RMڀ:)T `/FX4˗Ot'0ہF?KMH_Xi@JNo.}#LjxT}")(@~I6j8%gfdl/ǯDuRnK]z,UhkРvONzܴZ kiK~l7N>U=|}x@(En~ 5qR+< ZC<k;<^⶛|09;xlV#~?6:iEF `$)U}r{iLW!==>q =]|y(1ܞہww__zt7wҐzPÛ}f̦`C >|Žp)3.#ee(.HQR)XRf+G5M7C$:UX]~)D*FG/q֙F8UOQ3TgSSB$z=54H$+pt;%|O W?I!%$-gH$#:Gg5K Ultf)d$&44|g`f53ܢ dUifgĎGXjA 4"zEeLICTVKSQ[G;|C$ l1%Y1Dz (%bcY*o>o?DҬ 2xo'"?6{Ëxt{HjBVO2^4yR`ӐP@*eR\>m.I~pN50z^%Z#NJD ,ˤS4f8D<禪\V=ul,Fm8vllF"ނs P<r"]; Wn)scWN`Z:x(-Uv < 1ƦҒt+TNA@q AHdlh.h"2d" i9 x~xsrlغ Sg<U"Uj32R)Nc=JL@~YRQZVNaCVz4Rؑ(MCG QG!I墷Efim$|,d. ]E$A'.B&1h3:QGqipB*???\LA_ kM6;?~6Ds] $lĥSq\^~6 m)[^񢁍<p;)dkξA R4ȚsKf_7[;,2D`r$Wc7|ji'NTJA,qgO"ؾe9u,Ĵsu69zJ0>1Nm$WZ:_|*~CF"JϱRA[I 5<4lgC5VLąCEi>L&#:iВ:fb͈ Yա3ft,#qZqd/[?lv+ш>b9Mic1j'd|dg& 9( ' MKDUyZ~lP6tZStiou` [ߌs[Kofa! '`)+Cxx$n][CyNKG®za*H1` $ gD䒬15"L`cîIAD=!%?CisrKߑU5zSGbO"v4.'w祥<9O5pi96`ʬ4c2-E=o7} \I9(-B1#%v91OhonOE5I^#cTe,=B]- qwlP7q/EPIOjwO33cWl=`dp;-o0%5j\\:^?~:?ǿ=WO񘿷"`pg':ysZ?*JQq^ h= 0),'A?ޓQMh f eɣ؀vV} e+7yUQEaώ T(nFڳ!X%J1q$ ij9[Bj(*DoUK [zx} ('գ>`/DGW&n_<>GLhaQ. V ;UR<X\- YXaTݍk1׊͙SF TkUAb R3 ShcRTq ))@9fZB$JR [(S "jqInW <VaipwaDO#_c^lKxpm/p:8>A0v6N ORlGޠv %PKL=z+F)PNNY&$(J p=lYyeiCu&x_xЋћn9Oa뷯?7ι#HPO:؟Q ܂{w(~YBNyY uvF 9}Qdd%ì:n{.:slH0PZdddvY0Aו n@Zk"2#CkuZppudFj]Y U(AIPn{ggg~s֪͸?6>{#{Ws+ƣK}?V𪤵?Ǜ&՚"GM8u3q8nxvs Ki0A EOxD(V3f<9+l17+O&ug1!@_=O$qX]Xm.&yVI@y"7$_M2K݀%NH\"^kŵs)u\PM_W_U}F4moWP? 'ƓQ$}V4=>}}HHGNcai{??ģi,ѧFf(WA,^[<D,a4}`DNũ{pV47;PpƊڑ6VkT3#.S`(vҮ!qc~B$ 0`>fX2E1C'ee=b,dyϟOWTɑLՐwN?cځ}|x8viCi 'b 5kn\_Erdz{GѵĎ`2 nҖg)) Ƣ=Ц wwLN0$&C>bGca2ӣGKL<W 'n99p܉}v҅е`NpN4yV\$tsC8wOٝaH3iz6E1;"lyIgnZ hB8 mX22䣗2Ic$n]gF3!좒L>9ٷI?wTG; i~AB!oRG} D(x)y  b+㎆FxIfI*ԽH&ExSc4B@$BK!ΛJ4,iXqI}yCUصAhH0[t6^*}4dez W TY.Qf%[OT;K>3ڥHq jdƨխ@sZ  O믃/)]餒G#BGIc{qࡹO֦HHZS\4H/> 'BrkCkG'Hx# 6vX]z=6yobW&Qݒc?I&,Fn Ee12Z-z'TýIk78ޥxuE,O$4O[ MйKշ./?罕%D_ḢFT_vH{5L*"%(&$Kew5)BK$)7I\@$ А$y=.&:ϟ?:ß~~O[ sϨ];i ʑw*JgAiu4.@/z:hHx^U惧txVW nb G }z=afȃDPI2ZZZUy ^M=Lm%诿 )F5>' o?S5O]L Fy5գ:!ß|~6¶fdz|-_Gy_~ YS:~[kᅫoܺ Ix:?N5sKkԁ7} / <d g %I@HQKٷG20 aX<ћ QC։a o0J250ޕ8s'OƉ'pI8ykj1m?w&8,;gp.{pAq3vځ N"rTQfrˈh4D9WQgluY:=i98yx n T\ ]>0*3ԓ)9հY~t`ɅXGfC;v >Iɸ)G*8m7tѪ6mm}p5p`&K3F 9|H 0GSqkHjo>W%Àz5w'+#qϊS"'#y~UD%H2Ip_҉8{ u}VA.)9zD󱤰hVivO %XU$M3$2Uvv{?'ŏ?2{\ tPR< x JaxnQkG*܏Lɋ.~*[O^G#$7F1nMGh9 S"nXuՒ|ZE`,EWUWdlj! 4N֡KSxa{3;y[ʗ୧xD /z{K#[uڲ* DIfx0HH/Dx^ET{Y12 ؒډԡ 9eZ]#gmO"+O"C(:+8s!GOʼns2=.'QPO_ByؾGȑ=8@[a<߈|H܈UvxZ".bAڰI WR3 05(f&q8 ;7}eWkx=<s $3-toAmc*Shgl$ ] xUjOlf耾~Fpj90> /_罟8c7߽F 2 >M|c|MS?"'i#*.z`_(H$/}*-Z\,sWP^LM= SIfz;4$1fs<C I(xlj`v,?O?o}Wغg/v>'QΛT gO624vj$ Ble0oG_o-[o.x|:Au`.=>X` F}Z.-_O[-mA_mRƣM03`>2x*Y5WqX?_g!Jgw||6>Mxrk%X@tm?;_w?xx,OBK"]~LMΩ@ Y=9Mo <;Ħo"H\Y7Z샨7GfQрg3bEpz1 qqK8B[}!W8޳f?GOëcjrPuמ]8xۍWɓذu'؁s[".Ie5QLfǐa?+ Gp?w %_g0>8[&^ZC?U֣Km:qI&]=7鄕X[9ͭ뮀j65K04_EH`\X a[7*֬d»𣯽oц}wi11[\ɛNK;5wbqg:yP-ݸx99g0p2"qwAHߠ?P"٬G_|;}uxr嵋J+xYğU>/`\;p1RR:4t@'B{fYk[T3:˂@$k>M0Ư &~Nq{.)tԈDL",ٸ2X"b"b@o4%i<Ѵ[^*Rt4W\'1~gōŌgdv ][_yuwAi,O`$_+"Vn`y&"R3p'lUWk`i%q$leNLqhWEԎNG8!iAQu=.ܕ|]B\&U/?o]wo}Xr;LMƭԠ5m4dC=~+(,y\$+id[F3H f43[ØN`އR:9pI5ZYE<-zarL/QuUjӾia"0!H’yu Y{ $&ļz xJ=a ,f'3e#흕)^ᄎFXK8ݚ<$ O )FjǁN_= q:[QԀFb+A43FC1Gp\PGM 6HPf!Ʌ?1/vwÒᒥ,~sJ/ہ??ĻV62m˧}&ڹϜ@5uhhUYCsVz]3![ ><wpΓI~D[s!ܘceƒ; tC.,4]#^?-|Ɋ/JIy{k)s0hZ)+t0=u5c hO~9;j'3aq*[ i/ݛUX31<}zJ%`nIjm.?z褤1ޗ ~ &IS^p <q" ͪSt Uh4fEQ^]ah(G=}(-k._@MUډ7o~;OInGG:]m3[XX\F$C" 'HM=MiG1xsHVGi3gwQSqc|@ 'zxױ0KtԭA^q.$Wk[K/IAی[DȦ_pGPWgp{as8 X'HGc^d& ƸdZ㗦I5k5&V xrʛO&0,4I2 gʌ`1YyY\|Lgz,g;Ayk꼻 V^]$I=^<G?߃Py]RI ," ZA Nhk06wFӏ>u ]$n9'Ч/mDKCz4?*Pm_#3~1-IxzsSM8Y&g#QF-XH:QC7oŗI`ufVeĪdP_C6mmxH/CUo~m(F2>]`yٰa>,z!Rx\F"*@nh]އ!`~.: {t< S``Z3#6 Wt]n$enx6>ed Φ*f,,aqiYW@e >O"vJKPPQ |c~٧tO gZm&ʡ Wipu`kE2#ӑ?at)Qqܻ-{n7P^|'/~ o>{y< ɕ2ҭGna%p.^Ec3uUo6^VM;"QBn% cgF0XZMJ1r`J6 BVĨæfl,L&L k9rm=Y|Ve$z%|>JR"yQ{ьd ?K`xN#y ȊHl Hy^oGcEw:>78qPP/KKJ$ &Hi /!F{5K:20# '$~U$>OI -&v7lێ}hn)ASC5ݰ-h@w]rhPɶX[%^Gby hi* ZhsIDAT 6}{&F\{\,>x}:>x ߜ ¸%:L֏e0܆v+fm̚6t2W?Wuy4)>^I{(;*Ix }{{( IUI8; /u:17zXkvb{S|8t1X- htaI !0ue'+m,FWO+c6<{\[@/E﷣*q!.墌X`vj ;? bi֨%sE^?L[FPvC ``+Oy*˸>>\?mBEu.{gxW-IGO % -@# G;9>h5>3\n!KMZ`q\_x3'3bi逇0j邷SaF=xJ\ Wqwy 'G<gphU%2"[SȺT Fr&W'Cg4Aɤ-CFix-z?@;YDvZCāoNLPލACѯXE,&E~Yy=Y}||M\_< Ǯ۱! hڊPQ[&4uj19U]j͍t*"A./w*TnOὧsxHT4I ؀wqk. :|)Hf@x"?26شH Pl;t]uiBGK%h8;p^W/~5η)շ`zT#Xa<C#4ƲXեy1:l4%HĈJ9^)/ E"?[T/FC\A1gF <c Q!X&o%k@ai qHQ-ZQ/cTZk;}Mǿ]񝯾J㜀?"pwak1<Rz<?!HMԛJF4Flx|Z UoLMP,#Gv]-#P)+ A@#t '`pp^녌4i tiw `C.@zM[{AknD6n>M|ڴ͘LH8(Ӹs}cq} 7Vr1?M2G1;OOb @z DH\!9zʲ4œd]uY]J4,*B'(}KpBd` Hdֲ$J0Dk~<o >wy ׬wڌ}{](/CgSW/&;; Ёdʁp..H>gwS'p5q7f$_> qH1qo.eEM2bd CHPLK_{%sawªo\4UtPuUuP]y9|ۇ#]Oọ{7F: Ԉ\t:! Ц=94;D򻀥՝<AfdbiM_K0;>qTe.`g%M/vO9.+@VMφU/لʒ|h;xm3Ȍ ӇRx.F.t~Ti|6:?y׿3/{wp6BC$oǿ#)ʤKobfv8avq 0,$>=@cȻ| w]_@Y%ܽlJuFjP:K(DJ;/[PRx F)a^eh:`oRYFڎZF7¥ݍȸ4]5:58yumjN`A !/Y,ܾ9wy9Ŵ0iI= eb6;sR ZDz`Z52Aޢj7,W(.,>(  1'G%vwH5rIY>k̴+Y7O"yIMݲs3ێKW.%Eԭ-,^? n3fF0c'S.l$~ߚ{&zs,:y}xěCn_Jc,nCީЀGX`;si-GSU=$PT&4䣪"-(CrS~~  kRt}oR(uF_Br8`Y޿9>e;U/"b% E&322s.ܤ(U L%x36 7/!o4-Y;5K0I۞%3tA׆,iVRP idx9r]Kye~ko']koĿ'7R-PAo<_/)hn̯bjr#YL%1G P>x1Q)a3"A>㞝^Fe"AnT [ $~<V%5uFt] ?26C @9 H;-h-@W}) uF=cWO<=upk X⇨ܞ"RQQxpw7'qkeZ{obqI&L0?)0b4K;><\>s?`9)3ȒDL+RقJI_iC\2QwQU$c32r[OL8'ՏSaw_>;2܂0ZQ\JH-mw Vqa4##A2P6,M/w)<^4#ѵmHH# 90FxisN*1ɦ=(ECU8lNwۚKQVD/CS]!j+\WPHݟ?? %Leф1Qj7w`a*27G?q7Hߎg! xfGA||$y5o#0uޱ؈$vNr;Ǚoh5`JEච6M >%e!pR}~BC#Oo7}jlըR|}?GycqX|?O~c<Lc\g\c>pz$IpPA? _6O %jt8r.=/c/"Y18R4ǒD?҈Ʋ -2n׮XCm14BYkO ik]* Ǝr:0A쮇>M2^RR'tt\<+ԣtou+x|:^}Mb.9QxCqd6@N' d\Ⱥ͋'aTiDɌ`xlw5(mYA wl6?Fqr yT"h#&w3j/vϿ:XGj@=f6޲k6?W@]2Nu*WRE,:8lH >inoǓjFܜ֬DX BF&J]c[t QFPU|ϫkJqZ.=艣8q][qqd"5C'O>>O0w-m4NW? dGvYz3iB ATڽ@!RS.3w.&毫d)?#KvRUAC"ܟ>8z4 (ɼdDNAfGk@mk]TUר-m}ݟ?'jF:t >c$}ȹVti,]-$#. hrVf+>HAb =8rt7jk1:B6:IGH ,s0:Ct-IBI46mMێnsI?b˨|eygPq*EciZ*AC9q7aP߂ n]Z~gW5}M8poeOoO*&#afy:щtAUV pEHe_ T 4~҇BȂ DC%;U3)0x@+ώ`aѐ pB4qx>ҫ;\7'U :paܽ wBv:aAaA>:tkՠǨ4d6,ex@&~!~[O͇C nL FRVtW QZ҂\PSu ͍5hj )&)=ݻb۶o޳¿7صu+~_+.w o>^U ')} RjnܼAK(YF3M)t2ON,56{_("_G!.} ƖT)]ʾ$.хY8%x9 Ջ3M8#3n,vz hnFEM=*kq1 r.]6<-?~}|*I$ hhbD;•Rls']Bs[;ICv=jP&F o$`t`8;\±;q2ׯ/(5<2N9Cy'6Z1hl4w֣U} zzU#-j* Xm !T*ۅ G!A?rg4_iMOO=,2!GׁJ4vc4G֊7^kK 9aL a0p7o^B"ж *2@Jbtr^Q qI Agp`;CpTg"dHB}\i'FJP>+ϟed|~_ cصo;܈\x}vIhߩk$Fi7f 3"3 i X&zM^÷>Zޙ';\ ~օV#T_]ƚk<K"* h7Ss/^^sfՐ7{o4]|o~Ooz3c1>1@'=zt?=D\} 0|V?1*f1F1>{]a,"2B } 82 q*X $A(v~+mq5M"=%BoIPm9{ TyX<Bݯ(Cq@÷wo@o$F(ǵJH6I5<s/9cΣ6v}o'>A!-eF 7-Bt.N,@$ky8~tu;j3K|8MP<Msi=zJg5ȞjXmHMV[hy$PK'ܡݸrZt?OAEghj tMmC-uQJ\02 a[wI9Z6 i2Zl7I"RCHЇ QC8e@| KJi(r"hvoLeHIN k ,^!AuYfU/FCTsX"Յzx=y^S9c5ZqK+jkFNScwnH# ?N7,o㵻u<\TiF:HcX0Kf认_J<KuW . *x +QP"\vVq$~Ƕ-8{o )'Qc}} Ng'$6Ă={]$XHICݿz2{Ὂ.Y!X|,<beIf護1<' I G'3u<ހg|Ee0ԲLsA3#ӰFPь$=9>p<6Z455uut".__+DkC3}_UPJψnZױ` .K;ًoj٠x?I*X~PAa5.<E^rػo q"BH $z0И| ݧ=%7[ %h^K\ 9P{}V\<gi¼ GP_t :l)7W+sub2dě7/֦1`vf8ib!\u}Dq\x:uS00V%gGרHMD@6w LV.7-&%G <1|z 0ތ L"sd Y'f3F'JGEX:u5ɻǏDѕ0kjQRS:# FIRgwHT"yfo7½WLeH`~C#í$fet}@:$'V<Z6e#TRz:PLp(O?svlAXM?/~?Ww՘qwp`< AK4`O< ͢twLJxl|)Rc["rD$ 3>Kd ( \F.*q£0=sdFc P.h;h$$]}Tu e\z%jb(W޼Osw/ae2mO H.83gN"72Tx}4zKPᶮ D!H5Uo'#8H4J@p|scj,I#5V;,HP B~tR*k ^T m-}O~+ ~=F\p\&9ܳ4WsEbli##)FA#|nغ*4#F޸7k H&XgF1=>a([0rupׅ QPK>?0P;}z FM,N"2`}t >KGNlH1::@$I(C(U$3 PIXk8vڃ={IwO!{^^ZWK} ACԋ Iw"%)L.'_}/9 '.%p5zf!5i<;o_'w0==BgC,槃ϿA=1@g i@ZjTUsxK_< ǿS_ ï>ō<9W&N)n mK: Nf hzP?I(YNBKha f#J-U~``$N@8Fo:?7%9kvDৃhjD:R~#M(| |W'#8w v:wbCxeUGim3Llv,f!DÁ1hO]FI 2#ƙbmqu~ZrDay-¼fQEE^ K+ITKP[[]M$vM= :³(r EOi^> z$zp)ut'T2Dm46=޾yH07;<{uxwd!@VjE_$ >H6z9ҺM,#ϹhGKM=:]zAǔj( R廆gN$DrfDgRAolZKzJQ7U5~ 2q3LZ\ܼK*Ⱦu6ڽ&eeh%k_Op; xI%pxH`y[߸ޚob&kĭ $p_z,)]C'5Ӈ17=֤'`tY %hvMժ)f xE*m/3O>w?zJ1GkS>dJ{4Q[HHo3ȎRe I>OGGGM}csh@Z ҹcsǕ0yA}N K>MxNّ AyL d,jms *q8-yVQZh&9/gWrU8y4:]a灃DPP׎n%uM9)S.7R%H?4U~ 0 Y7)ٳ BAA.X}UFy7R\P|4:[^ nhȥη`\MیK(<yQ{uep"lG؉)/gxaHoLs!nD؂nq]XYZ$VS}ѱe9$`ICKF|xlW(tZKh1*HXR_J$P =$C\N~Ē; B$ 2%L(H0SMΞ b3 ^VQgN쥣8@'cҷm.~w"u~vޤe'E2폫,$hf }uܟIb}m"'G(Xl{pioNY}4ɠݴGor /+S'ZPTztc_eb[? ~?C|O;[b#АZb &f ijc< or$8 a Z­;\@BOd Chow%CgFEh_l$m>4 < ]oiBeMΝQe_@<ȪE?Qfn~vX6=Ĺ Gb]8r4lߏk(ʛ;aw:eڠpP8ualj K#ci%2cpx9v7VoL+$137͗yN' R 6\V+ 9 hmFԡTCϧ(? aC҅kVN<Jt &qc"k;1!m|oޠo}a۷=͛7+x;[M⺋@rm7B+dT)Kk}U}zz!JQFPK˘EdľfJr6byX58A̟L2;F57zno>ZQ LJtgs`'I}N}=;p$ $xP.̉ AtW{),$`Yf'qk&dwQQy4[%*QS9'qQ>zHe >zNGqQյȱtGq kF~z|UWΩ9Qiާ4n\*/$8HJ+6{Ie7@z鄿r&c6 Y0GsLָK`yߗYܩIaIٸڙݼN5 pFca^' 3**PYUF MT2 ^*>xrO15`38t2tR@vh NV5KZ"]줫KJn޵+8phޅX(40$̓#$ q,E%h+r'ɨ,0@h00"lm*rTq %h.Ёx>tʇ#t`i?UPo &L\$#x x%Z7<F`ci\' 2՛@eȚV@:ZxTe>^' B09}nXl~Z2 T!)!).Y׳Tڦ#8- H$K]"!,Rv%KAK>bto<^0,v IgNㇰwf9HЁ6YT(θXFL2)\>::Tr?{?_ホ~%TNbm1zcD{sxe+xqF x+/uY/xyKt~۱>9$99'{_{ v OoNꔉ:n!QN@b' {4ZA^ϤX?;D=I2,$pnCDx%;ȕN10גINa.#uHU Iӱ|>8!Iьa Sb4ʪOګs׿ /GϜWFWJ_4cabnI_ډJ]syF0x:*ʚaaf,$@fAnfW d_N-;r.!hL-8E} OLR70L+vp=dV|΂S<Fѵ鬅ϩ@k_ 1_DsU4Q#9Zq3ưӀ` +; Ceso=^ݛ R$1hBevOMƭ{9i*G %r-T! Q꽔#Qnh4v/Y O P=MH8(%p *sy]vrX /}y.YfOXgE g_ıǰw6ۻm$)'OA]G?Rwݏ# @HD c ?;ߓQv+秱8!+.e+98F.U7S7nܠ֋/W6M7`<n|GK/bÆsv?tŋg|vodm I<.xmD}Fn1"@ `s)(K/dN=\=By &KMEp\ҷH Nl eHAٍ^DdtszxC-Y~=uCcY((u*OoFIe*E+†8r ߮xxI!"F_<r\t".]ōhֻ1~ oz>ߢFNN<C㪡[Lu!3sLRso.عY=0w԰Q4y vI\/IK[%14&/)/Z+DZb']F}3Fܑv->hM4>ep<lūק۸LKBA=Jeu0I{St)>BsH<r>*dx^,ߣSOEX}뙹zzluK2 ,O jFW }2ib I<ql,>fovG&e<|8b~."ؽ{#vu#G9FrddrQȰarl=z <cwÛz0g+ j/sqnl۹ lozl}_z҆/ᅗh^6nۀ6c{8zvm݂玡 Gԁ,@RA/.؜ЙxNC^b1ʨNJSY"Ӱa?m'[ƍ; .w #|} q*EpюG5*\y L-R'ZR1iT7 hȽZT#76nچ^|O報 P_4mGo8n$b}Gȝg9 -:^G߰hqade\"O#ģs ) m"Nޏ`bzX3,92|0k9Uֺ}(/j@cB߀kX`:h⹴V塦<ʋΩu2W&bdz b"`(y@¥GA\s[ey0k/!aڣt*K[&O!Ƌ?m*u %S0|xDЩAog@ 8Ƴs^&=KAp PݏdF׏@ h#K1 }0x<ہ?`Y[x\+/ā{p.\t7dMD#䚂.4c$%*8tXB1)I[15"`lB 8[މ{wa;$ ;xܸs'6ߏoڂ |Nyس'oP,{7V `n2a,N\I`gzjS$j$Jb\5(rDÙS  :ʥ,R6,fӁr30)KԤ~ ;veMCiD1@B.єOvmzL64\5;{OǞI (1|mZx d.5]]Q:/:ht@k Lmih4xIj- ITL4(5i!Ҫr?GEy:@zHx֛ }0 nʡɉVӋ|sdk@Ls3<6tD=9'o]qN=CՋt79$.t9Ch*AXSE9H̪VU31$}d<{@'%"#p3ɳK)(> AJ3e;퉏L䋩{%$2;,bZHEzX(ʚ|<Xm$ j4#_ cb~yF065^2JKgFػWsL`mkT I®@^WB8~K)k#ͅps!bt] ;m6`?oVͻa3yN>q#zM긝a#u~Mxy&yݡ'wo['UK Ll:70:OOt$&`4BcHT!;M+cSULO"H$ YFl4NjbEFII#XLFyU(:arftYqeÑ q)u\]T`غ0~K/c%>M|oӯ}_~>b>;Z׶`76U:th>:"aa4\JB\2I2 :^ZY#Խ}3@jDʮy}yM"Hri<o'Y8rpJ=aa4H mksdN݂}/|װ Mk;PvRr8S epi̸6[adIxl`  ҬݻG4 Jgfd!#`R.z+efReI)=4@:@0DDj,zTr|dIH; CՑ'F{~[x-LM/,b}L.a#ـkD$$x6vS%Ps| <a8]6ͯd~1<?Me$}? z ShګжW{ؼ-?oݶ۷nۢoq˖I,uf .7nHb_xE~fno7ߨo᷿>Vw'12[,'qCy KEiBh7(A!2dS#U{K+YV}Kb6P LRwWa MPxB>z:[ٌaS_I^0uEReEyC3:-7^x 'H?͏]>&ƛYۏƖ^WfMEymmեdZL6+u /#_&mE16H@+攏,P;g1:50} 9ЧQUɕsu.pIF ӥLF c*9oF$`&N_x(؂7a/`;7:[kLPs ~7(pJ}Zzg w׮#J⛦FGDaw< q)YP iC~꥗H2&eɦKQ=b< *h2&5R :.z,Kv|!:wzW6|?JAv7:$H?OկN,eL.a< KoTGF0 "Abc%n c6N·J[Ч%&aY\dPcĬhAWOrw$Wah!]|`ۦ{Fݷ]lZm`Ӗ xeKذQh5~N&xlގ_ڄ8g zZJ?o?0M7w?yF rֽE\[oUz,¦ M}dr1uVo=VcS%xR%FoM(XJ#S70'}$N<^щZۛN"οI#31A{Ov* %ɱdVMjy v҆ng0E?~o|e|Gw5Wׁڦ:b|+@އ l.bo3|>5`w~V{Ar4zvsf) <\y8pe fficahF04>~} 4PX# ;aj,GDۆʜ#8e_ [7;>"6P._܌Ϳopalq`ˋ(pFH$ܸh xdI@,c>BUKL@CfB/p%ob <X$7Tn~+'F % c:1QXCiG&{:ʀgp#* !}~5<W xSC@uj\tN eӰE'~m1SX$ual0w$2 =/K->WI߸ʘY+  Φb=$aNl!`شg'* c;6+4+B$HalI,dV\bqT a2 }DqvBIᎦ5-C2l 8s"M <р0Hg|zwR+k0vN"KIv#ǣCvk})h._B1Ғ$}"4IU426 4 wHW4µ"\-B䕔;4#$(ټRkPҏk.4x`q&YXpoIV3ʁ6ɴ0,tn -AFTNU |,E3;`3iatXUN$$5tTU ?m8Ho8w;.p{=ZsϫT QuQ4G ak+dߝʢX뭚r#t.[bNx " XU&$:EdQvLoFk4Zi,}$7c ~څl e'QR% ,W]v~<d‚p؆bi/˨(9MP FsyKÌ<W2t?nlgG0>`ܐ1#ZLvDjܷm߀]{[ oیlٵC$8<l $ޖ]|8|MUo)Yq*qI5UEzo  3*@e) A":%1\_%,pJ+iLw_#aVIHq 1Ʌ#nTEwݎ:QtۂjGXv̆~1.H XfD5&[RjNԶip+P\^ {C'g[Q]Y3'ѳ8|,N]ߩ6x^m A]GhihPHd&2t b` eI46(=8ʚR$ ^ӥزӗ,'8Qª|t40p!F[ho@_S) 5"h)3qu2t =Qw3Z] _B9W\Tv !ʟԆg񕷟 IO*u(IMiЮ߾`N>FKIV A@v}'Pe`J K6A^vOH!b."^~d*I  փ3^9YͲĊeIk!B*UqH0At?t~'ZPT)%\P(*Ay)h:+q!I5a&,tPx5)^e"$O[~qgS&e6DѤ;6o[H 6y$۱]7n/-[l{ $ It8s)v5d"vTGSU?*<yW<T`ZI"^cMuH7xaz+/Ӑ=%XjRjRSOH)*z.mZO]v^_K\ $XXYTYN1E9"_IP  z[\ZTVE~ڱFTԖC$rJe-.WԨlQG;Hd'Iy)#Yn^/m~?<5V=w ǎVVPVA=m&D0ymyykx'K;8ƈvi %t ZTB&6t@Vsw#i9+)?up;؀[_m/Ȯ-rcZiO.^<jځSZIJ:dm_{u\O IH1m[#OR%,0EGBnJ%F|_tK$F7md\2;J)}JxVvbH"YٜȪcbTz' }Viy?0L&b\rErQk)ՆZ~HUߟ'Lo#.!#^]iL`z5ܞ7&pg<S=Q{'n۫pvvپYMa" /gmoڀ$̿el]µڇM[i6l߶6mƙQY id 71砵Ws9<yh&%뀕Mh9uZR#А5.^v02GۈH`ѕ3E"<0 u?8Ov m4, v꿉dÝBw-$:A߃@sWwiC3ݭJpjmj֣ @2 ߇&)U.8rʾ̹V(TmO":[is!|PFO9F&gLC*D0^ګ{ u?4T0mm0/E3CׄAk] 0Pmmu,;CPn^/bMطe }}ʔ+ /*#onЎWoƭ%DBPҴGiX0kh$sWl6 }ft05YAH2$@<^H?qetNV>+gk3L9J2ue8{lQeBLEjjA풝\D//vϿ:XpүAI}+U<4jqΜ>y'3AmEK]f8&ZGpTQ:Q!QLO [x0TL!|FH05*u'&(ػ{e.lٻ Ħ ?Evضwv;V OcQ|۷8](A^Up==jnO|:ƍ$A${I%;貄zHit86=O٥(pd;h$j{S(`TLTs볣JdwoH҃(5hJ=4].TmT|?/øT܌y8s2N:ϣ%J=HF)3IIC/r dIn\QbD56tCI)6ng4Ȃ &X SVlAG%e%,iE"ݎ\k|^@S8yd/Kc+عk+نLh2* >!=|㰵çp؄2<tn.~NXcg|$sYXRE%@w|Ih:NΤd"Ibk=s@}'7K/F8vԔ.], 5DN2:EM(nGn|hK8vE$V=hj@*;xҔ0 Kk[]!a`nCt0&L mFWUcOII%j+`'aaㇰe:/A91>[wx݁7$ey:~~thPqWlS,MgTD{<'.7=%XO(`1*M04 Dm 䂲ۨ&egG@ РSqPxi}]*0N/c,\ﻤơcNס u CS8ǑSp&G^qU\(,Z8m:  $*0=2,~deHJ3h\i&wP%(,<Wl$`pP&-\i3G!A)g¹ y(**V k )nƭ+؅Sr|q N߆${6{CWc6ჱm•p融|jL]$#me1 !&X^5MƑ9}H;O^C*AȐdiFe'JZ/'gD_ESFu\KOFI`Y(n}/L 9@Rס q.Wpl8y%$6Hj:n6xݒ0JHBXAI8}U3$ cR*VzYkwhm쬆uWgFWp^:nî}{ھgvک֮=q!߿GqlUB KN"nNӯ=mԉ+͑;T]4n,O`0@*vlyy9JedI%c``k*ݗC'e>0H.9uxݯ;hUGtyBe8$ݙ"B߅&Xr$1hn$4:؉h2 uR я̌ gą8s1G_ā#p$(f7 N`FRRi1<F`srR' QgKQVA@0IJ)Yx E2M s|.a4PQz UæiI/ ?8݊;^-/cm;P_p s$2ؽ OD|o3 F֨Sd!B!"Hx@<BOȽUy0H;./A" {JR̡@o,89Jl6}jL*{@2 졄"rrd,I0|ONI0v\nCNI5T\$a{zc7j[z>Pfߔ,$4fVbDK6Y t] Wk\mpuUBR m@ElEwۍSG8HwE߳>v=݃c8}4M^EǪ'~U_FAc5P^O!-$CXYBRt?&F->ߞMJ >MYT IF܍N71|?kNTlc6:.#HL/0d#?u3Nx?!Ӏڻ;8ԸdSפ?RHe={+uۆʆ^vJ߇n06~f/N8wvUQ%5a_z5.z!G$} I1R8K=6PW,N2lں2DbaEyMĽv~Fr90GAy<_2V\<VwVgmB7׆ˌsʗ&۾ell} vnƞQA?򡳦Gy8o#.ރ*v0Su 6xȩ@0=| ~޻0}~`:Òq "C.}d'#+1"XϟN|CJ2RsrG)cX26>L$^juk):AO8Qfzn?!Mk@Yc )xM-*Ӈp aZx"Q ֠jV7 ӊl`X{q㊡hDk/A_K:R S_=`1SgO峸 \/t)=u'N#=(BJTf)[email protected]>{gU:\J.sjG_+xzmxh=7ot,nB]\;(;bX!Y.s AL:R! 6x4U3?ͥ8K!.zzkAJ!VLotI@ CH}C9X<,K`~/N\<ç/reV6"͎6kFO_a7IäWJ4ңtR 4%BaI!ry_O嶓fH (:2:ҙ4\m:'+*ix XYn gQHv|ygQ{ lǁqNqؽk}NSQ\W`S9sPGdԴhТ}~SeJ9]H`VeI|ɒc9?YR]S kxpD1lsy_0ֿG4ewȒɨ ;R)v3#4H"BBOBv7IHki`A+jS'"6TF7c444r4 2'Zg֓<aPLn0$`$cRntA.H¦U4waŕs8q0rDyP\]H>eTy?sOQkU [^+_@ޕ3;8ܙU_n=.;ۏ;7棳zU%@ H%B4dMeeu 46:N[]]i{Hi'm %I` .;rnip)vQE~?uSF'%S{.m@REeQo\h ١7Y ==cywpb1#a:K~^Ui-}{ A_=&4F+$jihZRiKeOn@Gi\rQ,Ir`hr@ KE@DszʖGֆ"؊*|DS*8ً; A=ߊ x_R 9vCHR@p g|\ECy4t5GfSI2|}*%pIJ@iea&0u 5(g'N$KjIPZ*+Gi)KI`X|s\kzgH Y ِ< !󡾭խ\%̽s'v#V4Ao[^4< <$^4ʟhDf:o'eE{[[\=o-CKOv5 Uz8qh^8bWjuZ-:rv8M; ;vl,^x ظͳJ,1;SHt>ڵ%$=묣٨Eh`2}?م..,F?7!Nps u_6I?Ȩ-7I#AJ^Ue 2_*ڄ pLtwkИ09c<a*`EС!2 Dfnrm8t Gb 8r"'J9mls sݔ4qE6;I ?}@bzaKrK\$5Ë7E|p8fS~d!Ifn>ٽu @I]li5}?WI1Zjpa\;{T+䁝8{;vICsC|صvh/<_AOS-µh$Ym.$lZattt`ӧ:>Nd{`3^zK#}b:F86V]J)]kPtQgՑ=_ögj UHG$dp31A\7_sY L/jlT܅h{ :y_Way:GQ ԚEo񡦥 }u* UyaUӏ\Jr_oHQ*UQV8>O871زqE<؉s=Oߥ7 \C$PUSzkM sbjSG0z`JzU/?9R:iĽabNqc,8>0{9: =e$d{c7H0H**kсA(L"7\觿DwΘ#Ab/ 8nԥJͭ8[Grpx3B[Tۆvmcz ]:[Njbn;!%8_B|:_F1KzTP jnM]0XNQ63І`#Ͽ6A#te{X| Ǒs.ESw|b>w'͛pؿڪP<5Յȣ_:E85G B E0$"vׄ`paN٫x4{aD!hxʊBǣQp C_x!j%%< q2u~cģqK1tݞxi')lfrr4znVIba VM j(o@MeS[ :- S =!tquʢSfzHLEź)t$wF1`Pkv-ЂK!wޏ#\}s/ؾgنvbwNa=8@pY_;Osk13H I6TCX&LӓCB$-\XZC! в׼yL"T4]jח;)5,Ag|ɎJLvj X$P)K!1:o$0x{m!kAPH, z4"=W}bnm{}QqL |^7ln/_ [(BN Lf!ymhBi%[Ib~'-fSu0t!TjC҆QEaMTJMo.$H,9?si@Nۧ.&x8aj(.S>z BpBޅȻxt.2JI"]u0zVf;ANR:KJ K$`W;!D36gi<$h oU$C~o\H[uW\>d(hHԮ~<R+*}(6]}:4 m͵&`4ՙN]#j[7=PYc&hÊ&p Vgc0c"iQ3^K'b~#B~ rsϩ۷`u}/ _E FG!eFI.P;eۄ&?,>{7a:6s>~M㻸{co?{wn 3B0%]`M@On$iL@g (3481{UexI2fgluEx3 4|DI'jz\ :#9$PjӃ$BpDѥsC @Lk=#LM0ґ*Ԁ]8zGN<=| :(cs.k4KNFY̴&ZnK^Ri$YZۂZ-FhvW0zIt6}sÌv#MkC~]9v!;B_:E lڃ{HU؂KgeW 6,I  OWNITsعs7v>}Zq)Ӌ%*!A'4=0ȹS$JE_Hd9%&*|^a HL 5?_fo\K9g$P e dTBVjd}\Cjd/vJI߆BVGmkmDjs mq:5QVކsޛNQܸ1̤xVH8{KD<} WbUmf޷MҼLt_ |mA}?s8:u.FQ)xW=4͸]pۑZ1~V #FWw$J[K[丹Qt2A>Hҭj\v<Y4.ت4Tʯ~{Dz ЮەE/u{!ғzJ'0<>EL#[g C#;<y m%Ş*|{#g.Wb>'S+HbҰƳhC\~hh,*Foq~w^ K5l:򣫧:m7:z4&'2.^ TzQ@Q%FuPi@nqb׮$UA8{~a:C; Aؿk߾۷;ɣoBsYN߅+ą'!1=ҼӨ/>֊(=sru婤&ss DS$R<g\kL&u#,/LpDo?-2"@ ;XHY@% u@bܼy@Z҃D?dIi]* M%``iR<JyEK1$R젝"ym7YцBW} x=]k^J(# @z>AtG$V&0?lʍA?{r!G+Z%l޸v{c6x//Q/_Ž۱}v<(W~;䣬 ˇ.C"Eԧp2:u*OýE6nM>2-:Nˠǝo&suH]bSs`}c!9KbEIV`wiTvXC#ur"Q3!Ffr<?R6ڵ.4c%RH,M$:^W j:L]rX%uXN9N/|gPJ6ěDɁڎ޾~8].8^h5:=~^>@9h>b:{:5r՞Bϣώ*;Mh8('/kK6 F9SPX| Nnw'ٯ[K=b!i)Q:/Y9gĹ3P]~ t _?g*nwZڇ"l6LG}#3XGƹMS3 '$ [h (Kd dt%HgOL 3.ǠU('WE_lA)c*$J쾋$wpf//vϿ:X 8l17Mj.31=q]R 4",LN6nM'qkm  щKAN#|F\"pw#Q]f87@UKc]RvIxyf-$pa9+WΣ@P"4<Wd癠,p %x 0 a+0b8l%q!q 8hT"qL' UXvew_4Kd0462 Vn<qHMSII ѐQI^^W4:%JN TJ=C/4^OJQ#iMCaGqDc6Тwς>-:Bpŋk\(Ɖ~4'q.(Es /N@щ>8J#!FўPMyQNkV \tpPe| |FH`zfl uMhnӬA%6 $b<.Pe%xhن=}H /j] T6E9'I&OAHS(kOF (oDSwɂ&gfUe_:KА"}ȑE4@Z P"gL4G+B2A 4~!i7{T48:C4 aGٱP`e!e;\h(oAiM j=d9ښbv҃ yVJ Oޠ\ϒa[`{UK]:\.+Ԏ' 6c4.+1)2 G_ue6l߷ w6B vێ4y.EKs*ILQ^Y+%?GPQtca^{d|F,܋L&] rT7C /Aph^eH H0 :Wq iRS><I~^䋎d,HB@ ^dQC8KV6H"&Ҵ@ ϥv뽡:xi@إ'ҩ$ h5xQnP;2ґB4PfH˃3E-ȹ҈`ׁ8*h߻HR,-d2isB2Wd7F"UT MષXPW_H!AަGև>(>o٣ƴzEQYF{ g'hŕ3;g9c{lKp3NqMOɩc{ne)ڌSvO\@G}j/Cقd"  _ Hmb s+KT⪉,%g))D$xϗI$藲# HJ-|. H慔</Iit*yO>'A Hzd2)VݖCܦ~[]P؎V +kDm}zZˠoQpW/HơDؓ0;ǸV(kM5xx![Z16S~_]Oz:jqLt^Dж/-/ Nv> FW6Tk(*#;t?!TPCx*^|I:{/p ax6Bch69U $nEGGAݗ1Jooo7ǡWPGI'>~N/A^.ԆI2f`"yr5ՌqߋԐ40 KkUC/uNc& &] jnM=RXsU|(^p sx=b}8y `/j{2٨Vx-v, B{{+Y=_Zaɾ 74rACҐNaigmj}i@!v+x[+؂2o-WZPY| -5G͵8,kkƥǑ{4.9t_R3{'m(=2 rOA#8vx\>HFMq:j,v5S! NSƘ&S1*J DHv\덏%MّfRr(6=0퀁_5;דDV=gOQE%-AN.J&d ߁d;JD jh}UN6ؕT76D13A~59ĭ$Բʦ2R.zoB=N"\_ť=xx{ I'.LytG[ԣ~~ ضa+:ƅj/%ǩ3QV^F/Fm]Z=L#ZZi*Pل|ȿI;ܝkn`,K!Q|6\MnW1pOM)qgc$0N? +mv`HFۏQX( zoHBG| n6bc]\,o АGY[mN} P:ؚӞ]PCOޥ9-p-!Ш {cx ݪWlޠ2%aUvk7Y䱌0eΊFt=vUl$~#&좝k0Ɖch ^#vi"vi2N"iZ{:=nJKm 0;lDA>q|<z99gqbA[C!ڃP-%(!֗IL\8%PSuEEg`t#;1kK ,\%qLӋ0 ̨ N6{`_3=_V7qQoK>6[0F=PmƟ1+{MDN{፤KV(f/)?Z//vϿ:Xt*u(hE(, 4WU#hEcC5 :oڠ\.v97؄Ә4{Wo):cs \XZmG9R<9{Hv؅]wc{hٿA@cê AE!8H:tt?(LS+Nj0{| =hӆN&t,id͗8~Y/]h2O5|]R^N < qS-럓+YݩѪ錤e( 2sEI:T.A':zq [/bW((+,ϡFKSEಐ8H,=*Df#KtTuxh.Y$2gZ"MWU|XjF2 18V;r.<K@DfXwhI:RKͧ$N9'o6:0؊ ĩc{K 4rh8NRrϟD]yt)Ra쮃ԇN:T i3cy^KKFT&Ec/ςvi$@siⵓ_v ,~_NTCI䵶quotzI3ZH-f\PAXz2!QW5t<' 4hP٢!lµF\GG}iXz2Z: h5E Oى. &"uuS+kɈ[ ʨi'\lʣ k/C]yHRK/ IC]8p|?=>kspv&!">޾k+{'H$A۰upY4~5 ]\Zu,B/QW[ ZInjjPI kRm+-J%pyAcB}|_0>h=N{:^ɬI_:Lw#IcJJMR`@/=Ҁ*v:?Y%1333z83sx3)$XʔRJ.ji.<Z5걼flwkyHk7xe6/.cĿ>] XS]قv}!=Xј@"\C<?kT?!̌ܠܾ ׽CE97Bҏtۛ$jd&LvO= >5|&SO%6kpXgѐ2ε3ٱ! uM\-P3*eUFu-ٻ*^5_OBg_fL4cGKgZYZO|.)Cjno"{:diYFt[sE߸4W5 ɾ/VhиE 4PI Geg#H8 S7+`ߤ{jOʗF\@ҋ!̎v7݌7<_=|5}s&5{4&naC{?Dɪ)7M!`D? /T|i6qu-ZJ36(r!v)I}3mx _]KC47br>ğ3˿ IXr0|V۔$1@<i+6OeGK2hmd33:7|~6}~S29S;jLCxXM /kK$(J0,C,Ӯ,1/MOblױI"|:P=nnl L"{rd6 ‰E<-E" 2-%MQɟ<ߙ% n㵝D6.vH=\cS,aE׸;B<`ʐ^7u~ uuGZRM~6 (}4s}-5٨at4^c~\pΒXHDm%ynCS{7? 3udji1\K$M+yB1ɃD% "|e2gC3Xҁ<8|\ xQ9~L"=ӆhBF*MM?@0cS76ርaԛE\~L"4׏; v̑,*s-}K;|5YwIiã<>#>bgяm ϵc~F4555$M-hhsfա5u(+w5|Ur<R߳V?ſ`k= ,ȦHG\89{ ԝ:G֏~iԳ8ev'v'SHy?C: ?(@mm (;aRQm(}29I}e(dE\<.6#s~=;f.^4KZŨg<'py牡B(\KI[/ZF|~{}LQvw|-{7$+*N獍ό+8f&O^"O >ŪzP/kM4`4X2Y~/:ۛym&1G_16ك y^ ڨӍuD}jqv)n^/AR4TTENGio*C_=f;`}>N$m(Z;(介%~&I>e>Ez61yK`JԈgrg /{w^9Bx-EO<_,嚛'\m/+3kfr!u+S3behg@UkH!e2vy! GfKn~U-?Ce}fdx`v$GN,@ Zr cU;tej"~jp A=IA]9* HoT7KL*I(>zF (yuWOrKqleHfv{'rtrI. tQ1Ckwy6 i $)M\z %~1u;%Xhp%*P:a'q:T&If|bE3- NSj.z3[X#QwMS4MD`Ԃa 5Qt$6găray\yMG;8VM,I&F> ;VzH'X٣A81"Me>nl f۳stLaqA3D?R[JRZ#+&JH([&!!H:1׎aH;zHL:`sXa`E0 u|#?&):wE)$+4'xpPB2oc[J?$X. Avxun15~I_R A& h|2^(+$-4ɒȼkMг=-XBp;܈TWlKX]$yxL]cүr\+$'YN&> {p7`SO1 ljNg 1:e4浵%oBuZ:ߪ(m:eeU^K7L$و<kh9*<>"~9C]c}1<>~r?/OI*[^;#/AnM 7#x)"|lMzй*+&Lm) Dy3\oD<<M5嵏ҡҫg<B0inKBt~\k$ %L8Rh@wH"\օf7!K }@v)۰kG~vϟλ$;+tFGca>AQdD`f:ߢfUK *[Y2<VW15=R $\gzj7n:Hn(o]A+7Q_yDc> <sp n`dU'!( 1 g?0}zO>nk'ozi)&Gb]~/l Diz#R@= $`A1pLHp,CUk7MDIW::#H3^#G?4<b{QDډ5~^bchǴILyژ}E#d\=<ܾhq>3g5l~`v:͂2ܨ+/FY,Vy`ӫ6~i+*ڀfOo+ x,ǃܧؠo&hb8SWo^SIxSDëF+ uzhw4ޅ`.@^:?{Hޗ#Ϧϧ-  DPqV`:k\yMMpv 6[mr[r]8i׎{&8FJj5@Ѕʺ6Z;aFGt , Z1㒷LN[ X7!FdžrB**b!-<??4@ :"-LMMb9@7uw߆X`^tTڛuJ!]1%H 4xf/1h´zQzH݊j lh<@2sea}?zW_>û B*3/m59-6<QQF.+xZLQ%5&eΛ\e$!@_z2e5nvډo}_bK똡qdsG`35Oϗq#Κ1q9'IoDI0h|t>~n\Vtb]!ַal8cY$9%*Cum nUUU$q5ߗz {u51C-9CBb9A2*<xVWwz>ݍvW_%>y16 J秷?w #_呾wG긲>qu߽  +P5(F쇈BkwLJ4mA~1%~D f6MR)J?F#S^-g|G-ۇi`EC(9E}}j:7l!.5dJƽiXC Hehl*)ǫm%ڬ㰇|9*Ž"y2q" 6U@IcmR3Lb 3s-ͯ?hBMI*or *G}mnwceAW *O<N<C)ڮ5<|1^C%f9w_cT>Msw>rǟۏ>qo9țVܺmkcZ &Wr1F%qdVgtpKLRſ?8X0Hp173#Y b&G;,nqway>Ãy3$I _=/_"I|` E<vcbrSc]Dfd֠\evm @u]%jhoVhUx Wn_ AM<Pu(a=GCK:M2ыx~_|ECV8g{͏^gOM+\I$$Tb @`_EC>N0|]pCȺ)g*?HE@bPhO" M.07WxOnf^Fd1ߣ#C,йY./=6l,/`p|iDM {7:dd Hzdq:' IejoUB2$jVsY2,Uh|4Z*3QNd)A[1$ HEI0LgAc2bMԴ5k.W`JaY+4Aǜ:wƆt03##qp7py0J]=}}~ Ɂ  '80IN %\+F%" ()+&@P, b-Xt$rsN匢=cG~.?];P6+AQG09bKG '"ٞ'a><znUl j2CO Y}!ACC c=hk1)u\O_z^4 >.^ ׮Uەq7?և.7XhW6Ih+vV~8bo:q@1>y~7_|eF)7KO`)1k:|IHZ)Mq6ebTGg YX@0'h'K nva.Ä;a\wMکKx/p0f u6a8 - m}hœw"6ٙNr}׸sD[$ՑZKY$AZcofqEzh:5o21 Ts;$X1r 4ӫ[:4q1nߺjI00;ڃn,io05=}.$kv} - ѷܖ!+91؎zLccu,.fG~s!I Iw|9>gTPx<;/E Epm2UYL߇B"K$j\d(Q nf8"A vn<%X8!Y8#QCo15wo î<<B(ypg't̏s}I}VkGo"xKۄP7[M۶f먥M.q$bd޸uM-(WZ|xM|>ġP@A>t44rڕ2f>O?:Ϩ{^A_~/CO>k4)ݏQwN Y$FB|LJ7M񽩍G$˴'FH\q(['P]I`$Cґ'P6K:$Q':R}u0 [d']?W?D-EainGS{/{7?or?~( Mrx?|fZݝ!yʉ m B"㎮ YE>yƾ MH+0Hh/|vD=Hw01wI0A2jMӼs>tV:Ԕ@E5ܼz%Ya jo{96ڱF+q/~hzyla~]hOmi PϞ |DebS꽚(W}2\i e)KT>S~lPWUd`Q4?F\p;"^(m#ߤ$emC(mGe^Ah~ }roG^.p~Ĭgu^>>_!K8wk& #]$Ds-TV^2*.n zh^0EܺE|OшT= 3mʪO`7F?9K +>?Y=8GOsxk@^31GHl?>1]uI];oS +wiI^z]K已 ,ĩ &hcOIb~酦 ח6B86v=t=W37}e/ sc6;6 o,1sLأ<jAW(Jʛ72_bpY:"A(IO<c8wr|:t5k}E9lh+0na)Iuε5 $=; f[606=q&}[KaRaf\ӓiDKC9Z*X]Pv:ʪxl҈8f{`#VІbg#yD?Q|/<Ÿ/pK+ͭ]|OpH?R%Q&P`ꝏLC5Q$ 9${LM OMz_WSl=>S7&+]Wv ޯwkFa\oGS#vLOM"iq+$ CpDbs!1^|> B"N ?҇&tw՛u%o'wY'` `b| 5f2\#xkpM6%(j*Ccau(62)^?;/~?Ggq~O?'/V 'W_/O}56TDG%Av5^R!5U@@#ύ)3A;9qN^8FP4ch޳-#lͅm* \ybYsdILKnȍn*f%@CM{'0H!M -#HCR[TA SovYw<4Ù;0N Ў J.%}8TBp!שa=&J% }o8Maxtc&,Qk'I8,zfiCsڹDDo)FH[=p/4@w+ )Vב,"3Dmŧ}jH(ٽ BAG4;ݡe5$oIDG"t tBW[`4>Rg/'~;Z(8"PsclîܘvfTAūxtN\("nESC;A.|8ǏW g$NKӏ1OcNJĊN<x,ckCK+A]W ޺^ft2 {tOcgFQVgtZ|^nj쯗86ܺF$>*MgSmv> Sޛ?1O~gXau8b$WH|8K$G:ecyeh7ؤP5y?אF"W]aLYIfG OW2u`Eu g| "ă7C*9pWL`Z_M(zL $:98c9ƅ6 E[k0N6`hځL^Kіh3i^ח)sG@ 515 gGe1WM,dwD٨UH"K{fgV Yڝ%Y֬~F*p"A~F0?F"d5ҖS$cHG<pM$ 䢝?M_Ӂɱ! tu^LX4ƁڂNi χ%`ad-PH8D@AOKԵ@ J程Е*J2]ܣަ-%9R$FAR@K&DH4AXn;}aD5*ɌK:{n2 Է<߯i,ڵTAd&ݿr߽^BM /oƅhhHy/ o`+B'߽4`Es_6帆hlF|~k%Hjo4^ͤf#oSÈDAoR2ʪ*XE+ߟNGN0;eJ?s|<L̐:mⲙ"%V}l16@c3@~ehHӓ~fvVVY &K1ztDci H^Tv i챼iX\%oÏƢ$4kl}_I'kڨߨà=gF+W56ctI"H?wOwQʪ 61VHk6'1R}># ~n>8;@"E*`z|-ʄ{DTwm 4R<{wC'v$^[B.R}ΫaGK5䢭}}$Ch`3|7p#uaLjB4"u фI=V@eC? ksdO+H'iwX1F]'_6X۲ z0ixNs*@)\*GxI<V|^St2^-Idzg57Ubu+[Zo(&!u!b%6gG|r+{N4T6.)fYDWSp'bn瘝P7?4 fcO`ttuuu& ,e2 ._K.ݿIIH~$NTcc#|>~s ~/͈uE9-vƕ۠}y哏͎Wt/~IlA$op.}0QI= aGl}ك;x`E!.a#WVg6I0M/qFݧ/ҟ߁/!Tֶadv~QE E|^/'?E [lڟ997m2A{dl ʣaMc6 7uýx@O]1\N`u}.?{1˵ q|1-#fu5hhjG{5Zn pZgaiA2&N՜5dXŲnW?>}V7N_Q/*t.^*<7>b#=f׀ 4I%Z1Q`WE%*PnoޣgJ`'.g 8z1ڣw1GOb3 B4$DjFԮ#n?@zdVp|+ރ%Mpȅ2öSZjԢ:NLhOvcr}$C40mDiU9+@@Bkq j@EGGWif1PPo#N{'_H~^=ǧO>$egwQYEl, FO%4)WXu`26<G 6hQI2rD141篞3U.)Th'O'ˈ82Ps QcB70' ,`6gV 'pf4qyyiD`ԼI 'Yi(6lYcwwSD(TE#^;ؤ#6ǖ4wVwY11<˸R '᷍2 ck6ZI,IL{MrڊfLucj҃nOp#윅:g>W5XtSt$^t<a!r<&WGgD;#g )rLdL92x4G<W]1JGhi]5ځ/%/g-1l [N<bj n NbƝox$wEExMrNz3$ї̡$sӉ>Q tvGz0<kxeƦI- JHz:ӊtzjb?}Pu5Rb_g8;'鏿'wރy( C`wԤ:e+ldF[N`n CP+Xyzu&94R6vWq˯p.@ihozD i~~;_p{dz{b_u-f0G" ;6MmNA1AFTaWHin,%X9pd\<*[(&Vvf5)Ы#{D][!.Z2cS8cvU\]ʲ$U@oo7z(m\_cLMq}$ V$i8f$4J33 !H c5dmP ;`jI(fgǏ?3wկm[l޿("{A/[]$xDd.?@|GRã4N^*Poy;orsMtx|6.7 X=\b Oo<`!FH=@d<jKR] NrP θSK.u6`>^M0P 铕-vYEA/*At>!.RVt:n"e vWtbp|=('Ess:NO~9zw7ӟ?vpS'ysnO56#j9y]K+X*gT9mKX{n厞5L &f\wŧ_5B@HȨD:@ (K.b=kI߼<ś(kC$ǎNg@^nˤ> w/bOL_Ur-+xuД<n,dXLphۛܥ\?7}vB[S>RP~Np2NvL#3lc77~ *+GS}#::H&n(FPUmF I=_-6cE(ɫӇhrpp+4YIXI?K$QzQ%{_^%>0jFC#  7;*MUDU6nb֪Y^jXQyC񀋺oM,(_FtV^ L'j{^ZGFU' |5m!,hlј'&~}`3'{Y^wct6ؠCm (pU\xшe$PvA{;1 6UCZ[ cU(1g¿?/1gG?_#oՏ^$~{C;1t^;""~ڍQ.PH EU`:1uEGeկ-'X_yMQ)_Ë_KRx+p 697G<bK)hqJ*O1⚧ߤ_DŽ+r mu COqJ,9aeڣj^avkxD^ _cc|q>aBʁӽu~5،Lf|apt_!gŎW^/ʝØ5nwϗ5ezuV#ե ",'އcis+H&K[Ms o˟S}F1@$tye}?q9DY*Uj(1^IRڼ.JٕzWߕ(x0;%`̛40݋/F?蛶e: Gj>| eH$DM >KP3 Vhn^Nm6k'̬宮4֣o:-2U) Y Jy,c娨)+HmJdb{g#F֗b{xl0ţgTR=z)$AaQ\Юcxx]G*@IcHԈ )eJ7VJ9I2APHy'!RSr‡e;7bz+qJbXL@cj &=ILf6xhy;Fp vUFUs"i gUf2㼖jr^!#y2iΒDQ(u ##9xwB3[\5okwϐ\\C*6vV \iH胎 Sqv\'U\'<*kC=9-NP`4da-Ã` O6'Yw#Sv NcpxcV}l?%/dWMIfH LS9YHMHt:]-iut{ $ƟFB1⫅l@&O`q_$-jvFCQ)†RO(d W7LWVMfW&pG'nGGWAteIs:=@GW3DM5%Uwjz5!+7 ]Y*dVRe%|]Mc-mա 8>{] ""lyX"Q<7p-(GDc^:Փvo:*>y[gzܐ|UGTs: }z:3u^39U=8#Iz=$8}N ~ج5γI+Z P4 +>>x9{ o`*FCrk 4u "_6= (,r)Z#9n2.6a7$ʊV~U W|h; d'84XR~v4^4'L{۪^Iѳ~sq813ҍ^WTWk| p*)C0oՁV6IrK8><`}C$~L̢%5ͨC;O^L.zIҀHu-**X#qhL/C[Ą3N$?`0Il(I4% $ eg ɽ@@JWT~$2`B@aTP´!U3#$x}9$S8ًmxu h &H4g?H޴s: 8!?F[UP5PM쏖zZTTK՟Dck(` RMIi6v@@Kq|! e8= W_E^eX#Y̆uN`~Q;9ʘQ 4AIg?11> *T2׽:g Zy o@̸XٓLFATYjڙVi[:/]UVG;'?D` }-)ㇰJoO'(d+d7SȂfQ}>t K -os,ǐ!uST$I(?~b23j*Y^:5&4mFF>9xg`ul SChAEI)n^z[۸vxf)u: `a~y1$#}3p󹐗i˴ ĺu-jl͊z4 S?&Eȕ5Q٥pʪFuxN|M +ݟ}1Gl klE8b&諠e+p=~mJhzo_W_(Шߤ*[u*<k|aU><<]^SJ6b|fGx^0*1 kCcZbqbR47W 6Xprr]|HSSK Q@Rӣ TPN-Zk;:?Z~cpíEF*E$u0nj2H</sļ5%W3rNW'{ K1槆(*YbaΙvMᐟC}X8}EzOWOhvIz>ss"{&GQJ"TÙޠskM`̿j2,83t&0׆3t ս0^~_l~Qϩ ߕT +IQ6V=cH=8;}}5>+^!{V%iԽ,[?-&kGJa ,SC3ɴAPQJOx[&7n S n03eE7{C&xN} bytu cx|M?Ml@cװLjp6=TTobD"f"8bԛ;!^qoS|V@xY/ (p siYaOQaR%dV)@`A p+a; ܁0/ kY/>{͝ jFuqA8{<Ay59{`jwΜ(爋l SZMM2J IA3I}[kzZ1=1@`ыZ kAu=ABB"$A0"zh[(%hAn2A>w|<;û8-* XUz+*`CGOVVAt[ũIC|ts2Tn((+w9ty.>oHtDa:̊FQGkp!ƑnG0tO9Q6n+{h1 z#hRa"oҏ5OMT~Z$fjY:CcHN2b>X&r3"Cpja#.J#2Dy\L*/õacQ2(ikEwK3gښ٬n [I`j +@rAsr $!YHfIT0a>6nqobV;sNJa h7|5=$P@_K9#o$4 &\ LM, U=:ը<*_=$e5D"APD^Pfg`&Q=<YLsRgq_7F~OLi_j䥵暎Ě *2b znܼBgUh9&8,,$]3iGUC*jx/$`WqzWMk@=OZZQCہG!>:O~/>G)E >%qs Ķ#,EJ n`rI=S"Aѳ |LOxOt$1!ZGG\+f04J";禬@;K <辎PJt[;ʋ$MxV|ƵG](*z226Vi!QT P)#ua IVɔF d] r$IO:w\ji5l q;ve'a;1I5u19>jf7 wv mMFg{ I SӰX혞v`053<| 6x<AD#ID a||@v{saN9P2/|(PD-q+wSq1N zPhw(Ō%2הM.!K[@ Tdj,)5KI=k04i/s(gphKQ?AG7.(M6]ziBQ֘v"ooÇ.• ()'/hn2۩Nֹ44Pǥm)`4 UP]"QѕuD=J[k#1߅''/clt?C;yM<_IПkDنHׯ}u|""]ã_wҏ@-H ;6:w+F[:q^ P5f753%oTq-i]u"τ5e_aԽ4Fh@[j;P;D C_sgf{TF@Di\rHqkA꿚9]a<O&D~!|aΟan~E=v SD)/wYv"e̒05`iy㣣h"QompgzI BRЇ}L}Gc͆ /kz=Q':Z`H(&Lp!yK8E1.yI_뾮ɻ./{Q;EKջITꙥFY7)7F>l-J21~<ƭ* Xjjħr*\],/Z98<~p\~eQ}qcuI;@Ss;hk̄ZM9kA1Mد… &@} 8unhs|]5jk1F.>>3ʯ~)?zr ۴y6,IW1_(Kc W|&pDt[Q]OڼSF[Q I_AP ˉ5h#zƥ>O푈űH"|NI=ʹ8m )cC*:P300UtNQ?uG;.[nqC^Odw^/!hcU: V8N!?Қ2f I o vQ`"i*B351j v}@oKK#|>`Qx^+'pwg&Eo0&m̴cq1LyPY KJkBh.:X*Ey(Wxd1+@R_W6&3ҝLfn+cS{a|]Wv ώ+V\pӉLƒͥ~o^aȟFg)+J?㢼8Uc]xu?NQ1654֠n_/9!E}NQKe7LS[eqy uL55456I}T垮fS}[O?3<3u'WVޑ=\z d.f;ma*Z&fy. ME)u3|k6h>D9&`(i?}'fޙҾn;3i>Hza֔ŵM8nw㽦:1<A_Ьa7k) 0&&<|i*Cc '&9 ؄=4>J4-GХ=93H-摉ڱua}2k$"}3i⼯Zf_ aAfy2^~1t b`p~ӌ_a-!c?ovc,AL:tX#9>d =D^%`v)ZQW<OînrD$o PL9QX:jp$Aۦ!S%8Edi4a\5Y(OsسځWNς\i(ke>#hpG߻_kIG5kJ l=t4^, !ʪDHx}5e }hl؋ήv\pUCD&xESzP |^q ^eޮ5N BCA_$ }? _O;OKKwFz'ut.ODxU0t"I|xR賆1+ Ia!q3Qh(XZ&!1In~%u4d:$@=I$j߲yB!'иZމChMKgp ޮ4`l1'킓kܕX=@Z 5V &I>vUx¤$j+s$ivl.bDK4r|c LCAiQ?;@PMP`ؤ==5usSðO2$2D$ S <^?RE LarƂP$(3/, L}Lʹy#u 0 #BPto+ťd!,M)^5FJM {x Sٯ싂*od^/BF"P9ıYí&Np=lW5}䜠R]'ޫ &[A5hKQ<$|s*`udo}u0N1[Z> lEPOUk{#A%\]\𻨭.GGF5L+r*K>}PʐWPOׇʆv, r LO/o_?+-oΟ<W CAؒdd &+-bԓ^0Hb?ۣ4lS I-*L@-{GF)]`u!V9#T~?H=8WPgLm(I;0SIڼv("_;TvR0gR|p-}4ڒ9 Eb+p#Kec e*Vʰx-֭g89~\&um1WV XGGj@"v_3ILiI80;6Q[ :@f>xD%A E$Gniڂ) &)8$mDna )9 OP?'p0AH"AҠ ^<of$ג>UV'F+.h6##sE.;SfqdDA=;l-ehi}|7m؊A }B 5Նr)7~S/w< Kx l_i6~*81E%yn`2!~݂-*Lo@uQ-Ԩ|{CWW7qvIJJJM@PS=^ (`^S۝] *s wNP}Qz൵SM SƶM9[(ڀ8{~-j%8u<IDuTNdMpǸ.T l+d~?/~D&JH"iTiJ$ݼofJV5cR>=G/twDq߾U+f$㼆:m6yˊ WI/e $3{c#{&Ly n>:Ui"Ĭa꿙$AP( o3?gFf>&G09:lg'%LLgry1>N1k5v G0]%?D?Œ~Ì6#ӱ ;9Dvlt-;u] ɡ2I`$bBYmnhV)&кW%v!S@;z]Wv IhxBs< ]Uth=X //㏟`G<I<YGҀωP;[F ;nP6y.YVcښ3'YuWc`Ϥ ^v\^…[KepC kQ܄At IhCcgz5$u/gsD½$8M 1\+H`Á5 P<t\ dD). v(կ$ $WBP!  q(v'ϥF(HX8ѹ b(shQ.k*񾩡ˮ#˅" ]"% Rx& jDO.GC`HNPiی{!qUF1<6 ocueŤӪ92L*cn~Qn#+%];JR!Мe|` C}j`[zZ;چ֦tQ<:ѥ7lvg.<>&If-*[N+3"C=ø+@sB]!(F^M %r" $z4ș|^'}yӫ@:!o˻<<*iPٱ6TAqSo5/S9a=(|ua~Oa{%<$Fp1~g_ fR\=SEUlH#` EPEUիCsm>-V 2u…ti|p"|*6Q{ {006 QQk_V_״vdzhzeeאyw)bG\ntAti5gR t<0E0Y~P/L#]1pK?$2JK>% {/]nS%(.a"gz3UMPm =)3E QFXuz*xFtL006gD.ʵ8LIZ&' VI4{d U[4)}-S+3GHduZXJI50MDõ2Ir&ik(ZJmh^ qӵd7kwZV AmmM!M5]V߈Nb$,AanjeN \-m#}Q^Ɣ3pnL,JՏjWIR<7<{Jl&e>"Y+ =*cLVl5Vxr$idAxifLkߤڹ]Y9{>髸&+N_ ߻<3<ϹO0Gk'fvv0OrR&YWn>MWnTW/}G0.Qk>u+_~LZ^*] %1Owu-0} ZQI<1=5QhB&wpv'XO Fgx0⎠Gl$]s .b<4R2umɢvM/gQUTD@\OrV's?mJx:/רIM?JL;g&iss$!Ohd1G]=ݟ{ocx~}k^#32JW*z( i-JS> wfk-NO=J{),&NЖH_XƜmJK|\Kʒ-la`$--& -6W_[_Tנcur !ƹ;bqLĶ=ݸVZaFʶu " ka)ZHv?O? Y=R A(*IlllJde[^ SOIl\h$mlM5~+{fc?GX՛87T" ~ÏgoI|R .jp7!(ܳr G!bb}b;SoKp}\~kbȾBMu=qU\xЧ7e(@GFFF0==s[}Q؀FTOMZ07 O(A6VȠKc*(mt1xG8b"^"K<&$A*EQe " Cy=ePyf6Tx.H9(>,m !*oh@lSx9Iɣ'@I,)$蓏Hcҗ3BVnנs9mMV-q};ɝ"**ИJQ SirE&q<1u bEoJ~+i?T6`2/5Rڴlj$FTWZ4כYQA_%u(($$"i?}kc2ۺ3hF^/oF4L60K{&.L<<EGSEH@d^}*/X%& sbp@eK׍6U!>*+ߙ .ŒeHt}tJ`Y {W0dwa1ëU|& Oހdh"\:M_>Ӈ4;ץsw\M:}W}[Yq41Dew9 ͵%\q7@jF053Bߍ1 kʃgx$ǦE71_H< aȃ2dčtԌ cl$hx 1Z+e^J(23P~ vr}dިcg(:kKc;$1L) ^޷iғTrl^б4wRjGbfknE0鄵f9Iv-fzp ]CrJѩ+jF㢃 R+Tb*rχeq6ꘚ 6r8Y >$Psvީ"֪O.GRkFi{F&H:XU2t8\[7RVR:H!(PӓRTB5@ةgn@#c9Gp9ڋrVംOƧVRKsO#H6I LcAJ%[L0E=HHnz^xNNv%IH4Φ.)d0([= l44h!:2@<?Eݯt}ԏ)"Vʎ7Z:ؑOoj;O9t N )MJFϾ2)=\6I;.޼?T)AKG;* ZM8Fi$x5$$ 7{p4x ( P&,S0 ,tu{`.&M}vmbpe1~r ] x\d[1J)_hbJB5`ΧW𩙑+Y{"f$ nBnvUšiM1|Fy~Awu3,)k/Lm'J][?WBP$)X"9<$ ک({F'W:AzF;{U-]Λ&_jL,iW _ϙ(j&5ezl$w$I d |Hf %,w{+81Ntv?UT[syp0ig!~Wn7o ~%(-)5A2u̮C A~yE C.#AЇx6cJYl2k{}#C&429Aك~>ݺUswri꺸ƆMW?^}E^j (4~-75,Js4AvS͎A;" c~D%H{t̫c n<F#6`Eó4oSz\Hǭx0W}h>F R!ČJQ?_#{ '/MPF;Ņ*m"ٯkGK[Zۛ0L;DoVUW{^j+'DׅsZZzt>=^ڊqh&lc$fTk.&a]~$нFߤkoOOi l>xٮ:j06llb6!]!9xQB>Vdyw!}t4 jiu"?tdj6'r瓟l1t47m^1$=`!I|!#uX"+4z e V9?*uxl{6#ce$=i,3#q]ՈKJQ^YoRoߺFDI ܺ}Hz۔ߢ\Ax:OP+ 朴NҗwkKY=z{;]V_ UۂtΚ7?2 믮 ԁm?RyuvQt_ :~1[=Fs{C`gbivoYGNrhpNj)Ƒ~OR0uDR(p"">;C ITGf!uۨkmEEM-HG[;91AxnJ"._N^n7"N$msLl8\N̙2VX_[6 TjoRGO!!MhDv"+lLb;? QByj+"{کs" I뚌J)C4!jHq<a0E}e0Ǩ'e%ү7njb/F_]N|波v2EFM&?%z^Y::R,| Yq@̬"2H+=0=+c*pWMSQ׆K۫p-r}}9*+]RZ *cU}#\&0euMu]h:j!Ĭ߹pnV6vm'Vsݷk zl9(4iЎ6@_kAY%*QњҦ|GV6*9Wث(ov)" ̵mb ]Wv &\ L1M٤0KG,,+N֢*ajӹmHCBG>:Jw0]Ű+~uwd*oh]}k'(AUc+:G52~) 6w ݃sE}G754B08dv!-H'"4<NLh"f!H`q)²x}tn"Tm;bQ))P6Ҍ4)j1XTKI,+EOTt4)E[I[^\hTRTyFZZ7QKYx+Bt (JqtȂ馬)9m5ߘ"ML.Jh+HQ(,Nvq:4~QՎEѹ$4" f+aa}d9ts aXe%h@!WW**5)CcC5hHHiGawFVǭNL8$Q89;)acNL2nIi"] Eߛ eD(pKJ<ANN "r1Y1<lxqa6aTG-CD>o (z(꾇Lur:8ɦ7~#ˎk<zˏI\>C0*գAMG`RAH&&p6 tխ!hkG_ғ!|^i $u_ 2) S1ԏN.[HD8g11k=9*[.666tE¡]>eDsQ~ڳXԋqu9zFC$X5DAbFR(sp{Wu쁚 >Ӹ}e˯Apk+*2@Z/JDPzadqB Ӟ4𧖐Evm_(m멋pkvbO7Y&f'\ Z홴 =\~ǻy-De95:2I~Ö́W@B8 <Iݧ-Ɨ0j``|ƅFTVt6R]]gWUբ6u~k]}h# 7eaH?3O8ۃf> qzeO.l0E:Ҍi^gY+([ T ҪTm]g :M)foXc.3SEjtשQDOi:Wn<yȃOYZ [ߨ:yYH_ѣmyQZ7l<Ah1<+ \ǼAqE$Id`$uBݯ0kjDcs#yz14:dҔLyA-u0c2=VԷRi7۩!n ҩ(&a)ǣ{y~ uTkfH5>u_D6U%H76 k x GdkbHu={A}q ϛz$4q0>'Hج+V6it= 6Pz>5؋uF%, _*Dknk~%+AJ&{>9G@\kDD)m="tBc++_Ɛn Y6Y8kɐm乳q"WDy M9i0ePVי%Jnq]5룚8>>dki'%yt9Œ;@")'P6fHf%HN26C§?'Ϲ(> ث8P @bT怦X"˴<)Έ&W6>C:>M[$RB@kH~+SEh+q@Z<0?'pqLP?[*\-?z'=kž^S"np}hhnACc#ک}ݘkAooygqP@} ,P& mjhOBY1؉{ڰƣ]Q$k* #&ӮE]oY8c|$m8҄-QJ/"B`@#>^LWWcb9|SIJs xեN9os?ǃv7ө,>d_\)CǴ4-T 4 2ϣmzryy>m *{py=,Jg*<Cȵb7(HQN_Y 5>vEyĤ׿OGYy5kPQQ2Ҳ .)7#7601=eb a4ݦD1i"@L ։Iפ{z3B:I(dWSLtXIseKDU~zYWꩰ0NR%Ӽ*szJ]<^Q@+E;P@8[8ع >Mv<=24jtxNmeH mczO'vC0 ssE? w$;{H QR]%Mg2ݯF%@Em+5 NFomBmk#H|`2!m$:ޙJ K)hcI :ıJ 2٠BmbaJ;]Ӄ@س-4HMIBDC\<I.Y܅F-hjUc*C:6t9BHQ$¦I7 ul;ڟAF$dL `,,be)nJߨCϤaa5P,(]NlbBU 2 @h1PJ6hr8؜!9zϜ3N C%(H9;ᘨASFkGN-hhⵧi%4O-ݽ"ذ3_#V{?ϕ)=lҰ%Uo&QA!@7d\NG4P}|^!yU^Jd5& Pgx6ndqS[Qb&;HejhW pd. ];P G"%^iu$u|+RN| ^<;95waS:wrHFLHhu2Z 5<Z18=^Yi "q߹t*qmJ ihr%Qzizf롺L[Ϫ>B&TK\^=@jڹ8 o8ԱZۧ]zdڼB:f^g`e4 8tr."JWX H R[/3ݡ>7|Sly)[Kytb.?:kYGFi)YqfH,x>…W2͸a!APmPBkpN=v%+m5LK'7Csmo`#-`_kyVW (Xm1[zϵb\?c^ Z=Kѩv #CujG f,%姦K0sA0<9>{mCd͌uUytYA@X"_s@~Ru %nES<wxF()OL2V4NI YEs\DV0IcU oɭo089c%3@4@Ds۱7{x|{{$N~^Mo}DOIfr/iH5ꍑď;0Ez.W›|Lx(Wt_= *ꪩj^,継AuC=;ԃ^׳ӣ&e_~/<z <!/f1~ ci^E@oOPpUzSm3Avb'.&+hBx;O:xSӘjGXVWWȟ|WX=f{"ţs).*8XlcjH\B!|I~s#=z7+!.\˷+101/~P6e k-:xccy5\s-SyLqxssDZ݃lngC` E?$:S<9d /'[M$@s> YLp+KAAtvtW`Gg}|8?A Cы/ dYX?dhtu1NA(W>G/M߂RsH,o.Eѕ='>":*nRC$ )k[L$#(}]e6m]0u ?׾5Ť _9W{XX?+:joI|dVY2*IS 61 >:`zv6(M@.)˗q(P&Ik!(@ QJZ tPmz̴ĶmMxs/hۂXHqMz\}.HO4Rv CFRY+yڲ|@_Hu[A yd^gQ A+ftXV&ȜUsY9967ׂD5P{=(Spc1P? ?YW{.^w}I]uVvoS@;M'TP0Qb,v 6-W?#hF`>٥/\s# Vq gd‚nu]=C<]}hi4R5 C1X<6?Yy-ḙJ^uxZ&k^xK(\UE5*WI uUu/G)o!7k-f+zLzoS/SAAAVf+E;Pi{Z1$0!!G[Wٗ`!J׮=8R*KOp:C%ӈ̅ l D~'ǤՉޱ)k஢ ^UIpM('aQ*j4q4>::.&.Ym-hhAB$mCɊӁ=gGx;Gf?r>eDE  4O#S`繰f)nPsG3M\h~^XېOo!HAEƅ3"ap MЈi^-PTI8HE4syӬ/-{:YB5![E uLi~%xt\43BKcjD!-`Իcz_ Z.ŴWp5u:`zn2>Qy12F FOB B[0GAQcvo0;M5uO`x̊9̸<89:Acᔁ)s0yL9qM>Bю뻊S|\@Qt~Lp@i]y_(zA#Z_$&:g FHj#[3"5X:0 һvICc㚱ڨ^S|x 7ow~ GkaZ}4f;se+ufk?͵6bu2$IuC[O *( N`k`v<kz?:dꗕ}00:A@<ҏۨm@M]-xp'Ϟ?}/ɋ:{a 4>5Cѧ)P^)swO(ǦfЩ] ]*SJE~QMR.m=Z"l3Df91֐%`ƞ;v& mߍ>=nDSw Jӈ<nC:r_v7\J[5 4-fF \q;'3Y3yqWƐ,mAy$ ܹCPHsr}l٩_WĄ)@ p+#%V7Na Os2#&Cm@w/J1}FFx4౷oCSpm?V'wh?OAI'3:At[bOYI>Ο@@D~1BPR.0K!b@D\GcHLiM2D*4%<ߤYs@Aa?Zo I.?5u)q/P꿃A]K_y5',^Әڭr" ē^302^.k5l&(#(CtouTOP9~󨪎+E?߁ΖZ<GŧO~F2t`<xX5 WJE+oYj2|jl /gKCkJ} /n*+B$ :]/q$ @ˆ+AGٹwFlO=^ڸ.)#i3d9f6$1dSp}.5G'q5sQv^/lD0E_qJ,OIbĈ8׸jP*!d]=2FۈkwM4L׾ 0oKHF96tvS1L,3:5׍NccsWz#i %ͨҝz('m`hD=Q>4 m^R2(da(aW@@FU (m,D1@>`%Aae#)P((6ӲyNH.I=ĕĂV,g"~ٯ;O>UKr~SJ:54C4C4OA7[K'as`FycSzz:N_m@e(_az SM6_FӁjSVS]P0 Ǐ!ڄޮfGjIDAT_#œ/иGHSOy]kڀ~wi\H"]L1&."nN5OMЮ^M2˦s +nso0ʡ }mu4@! ;${I8Ac<ȬN/ca!.\ô3d2K+`5ALaDd9U6h8C~KOd$>Jcxwhkyb l<Z#)X` O(؃M.}ݧnu 8HO=..>a6 QCC!4Z=Espih.1"N _I'5Pv18P H PGqt%m6Xmm ҷ Ǎ }Nڨv r ɲ0?whpȬkV& \j%p2F K<%9kid(jvwD ȈE` u`b!X'$!hkFUTfi F;ҀTTTJ㕚Lڢ^SVSjr5jm@ FO;&'h0zz[ïW?۟kgx=zayjTȽRRFNޤ ]xL {{[HN yL"c { q%Sl貦5D%v\a%IXb蟋`tA[!OD~)GOd1?GIXϸƝIҮ", YTq*Ih,L@Yf"LjvfM,6s8]< 4"VE] &b)W 4 |#qш[lA18A 3ur &`(d}S3 K ܮҕQ༙[nNxh,s44!H0 B(B!`+F)!EnW zu' HuW(K+@sVչ+{=#3ABif1$ؚ >ȸkKZkf ((~_/ǂdp[+C<G=lawqF;n$)"5qnjU4k 4v 4sNq od|u&>Dաx .^e|ut"ucdp;M.3;o_/pSQ:1ul=JzOci(ϑȥH'H?ݏqkڃ;$ω=J=_"^0AK>Ph1j>Cm>EiK)-.tu3AtNous{ 6T7>ObKyqԓ`keWU% \FlZo3QvI^ ]Fx;Iq<ɉQRJӿԶMD\j5V;.]ഇ!P>-7<aXACF&g1cuSWw,-jTW7 \te-R.^ƍVt ZIR њOQFIR'|Qc$fL"ssi8p+Bֺ,w lQ :g ;MiWV <.&Lۣ:Q~j 1wE"MΝcطL"@poWSH !8v_7)^3X\}cX l |Ӷi OVַCc@Cc)%ilm䡂@(Kod[&{@}N_QW_FJx}?|˪L~Y49= ߎ.\8ǿ_˿_?>ǽ_,)G~[1O>5M դ4ǣ9;iQ ]rOU)  Oxp%:n Q?hwL11s:n6.S~m@ .zT]c^pc ']\ lyJXG;!vhUzP-yWf=a֡)_g%^E觥G;X} $BF'`*IIC/TOxU $aHl(,(u>qfjƅYtLLQ_׆~ֵҌټx Jje_C&QSk6ʵ4 /gyNq Wib7t]/ (@A@28(، Q_%- h3c "&1?*'݆촃ߺ$/1ߨ ,a'.nRO$A^'b Kɯ?~3<GƎ)He;V{(]}ğ%P@SXpdєXD=B1TwjEcSh%^oN7lsav*1Oe9ڻ:M#FTn_3jfwU:+͸z"[F􌱱)\nbQ\r_|?/p+<ubEդom<Ff`CĤ|^OD }e~1@ _@H=65NAN?4Jsya֖nP?d-}M6@͐}h~7y1[h:B>Bңbqa'u8P$I,~[ PQw[of]_8VAiS]}`8<<ԧ0ybxI=zw;<?*P6j,QAK0z9 eBӛ:juI]G_TmniCM(-6ruR|5\^+%uh靦O`V.! &tZxvl؜^GoX1` y( tyhjD]QE]1]ݗkD#S@]<J`vU'Ժv•>E#C*%W?[wxAIަ0;q: ɷdRDgdEij䧝QQNw훸zd&޺A҈xt5i}Wn—WjWyKp $`lx?ZjWK _? 4??zׯad_uk&ԯ::Pv%Vi0zH*^@3NdݼݧS|Kvg.eˢÖFB>D%8I "P:,qY&sf) Y #&vDI~d0h8Jjg(xEH+6+ADb ÌA4N-Y$iX]?5MoG/hv•B퐴*4K{t]$4=JRTKЭqU4fD$LՏەt2\sJnFEAi"@s3y>RΛב o 2xL'lݧ)bM=N,Kyy'!)R<\G-+AmfSkJ9(T0ÙJ$L`k?8=g^{ϯ .|9D=#xy} qjbFDhLh?F w*]ZOÝ\!YL[_w?o{G.C3Fh/_o}1>G]_GPK{#߷/~?!>$և}:z5Sp |?F:+OOI7x/~ю n#~}ss?V\?e{I9jq8TK>ON9ђ~MvnstVv.$;GA%DCG!OphtE<g"SÇ{X^=Orp۴IQt^֚vO C7mGR i"1?e'i8!qGBY/ вJۤmgv,Pds}N:3w|4 x㋦l QC<9,o!9E ʪαMKȴ`N7IќwR'<))¯o-Lt]G{%puЮøv((udU0IPUZRe Ӵw8BHbZ j@j&w$En.5ǥ^`=c|3o;?S 5ni!\ceӰʭ!DUpzÂ=|w?@WFS۴Poƥ޼o_xKn"}]wI(#օK} ׫q:zZހm|現5ʘK<ϐ?} ͔w+Kls2@F}wΣ>F LSM3!O@4YQ}992NY$jv:'Q\?$&Gbh++8CmONRf4J-gV 1wbu{X^~\/u~Sur\DABe2 HI-*N7=y=2んf4jaIe@z N!SSyIJy, 7sٳJ]]V\7eMĝh@ՔYI5A`җ_#z5(P·z^n@?E;2i:h}^J5FкicVYPzW Ĕ6S3 _kA%0N{F5!t߻ 򉚴>uTO>'I;?7&} S ϛSeE{H__w>ַn|%ww>@=mnķ#Jo.o_o~&!]EyeWo\lY_ku֍v*P܆/^AiY9K"ݟ'//?Ǔ/_Z*)15F{o5Q;QY"ױ^)\XL%Ya,<E&zNszl\'>odg֛kYc ı\/d6?9N`sd_kXA-`}}?}/}Wʆ{:nFqB gyY2<zE^t!0Ժ^S4-O1bQsGe oREcJ*=lW8,Z6'@]uQ5gulm4fiP F'D=Se d* 7KD89+{CߞwEkֹktNTZ b e!t n٬='=uQJ+E;PÃ$jT'c>&Oςl7?|7QO1:)Yug)3EuIuXq5AR {z?`R+p7pת* Z)+Wy y\^67oƛePY_˷f-T.l'Ƀ}||+.f kl{XݵhAB$GDAd$dJQ`ĠӐ[,I (|~91W$%>N'.6}6-xX+HrVrxWKE)w+kkѹ*bu%ivnHµk8I8<5xq70kz(a㵠)<zFL#͵,Q ɯO!(Blҏi0攙 B%Q$[ U{58.QuK4vbhk-GN[?4 0v?97lz,-n"o Ƹ4;+{HD._k젽=4F8</NӠQjʓ I z`OLAFPW" B; 'Eu <mD~iھځO[$Q KRʅ76wc<|vO[3daWC'b;d zj$ L)="Qp-]#1>9q -]٭rԶ5UD0o] ޻zDB?_55&eJ.|WH<*Z*fƱN`g}!ǤH2EDc~} 2&RpC$^ڂ.ݚ6 A%f⠬ %qm&Q9FPsSM;EgE00 ,)"uxqpz۰|tl?_z͔nP  VI}@Au΄Xm`[mx#C,8"(=hhc Qu 8J~$" }~4w? ]ChBτ =c6ԑT&fnU/k?B3MXtz ߤ]:EPbNjB_B o7RT nE#)4u.>[Ҡc5Gd3zZ7*~S37,Aα򾺃̨LŽ/?Km&a'$vh(a`-1 ~IUݸgjh}%WJ ?ŜA=ɉi -ݨjiՊ4vLt)_ )xe@/P/3rY u=DpEחueM`eIJq;06DdzdzOR>\Nl7uO=HH }"z<9titS$m@ :m떩o.u"$e22TRWwF*FԗP#J 2f~Yw$ y~˃P*S53G\1|Z #u]" R+z`4gHz~:4Ax(@ۚVgXT"ϥif|Di+ydj&kk5Ms-mlGUS'j40m&:POݯmlEUFvIR^یU p"8,Q ƳN+ 6AR)/mt\]k$WC>-K 22Zk *nY-uwGl<}  k7[,w>_ټgqe}]4rQvRNl/OPVDGw8XHdIO0{0νwli:֋t"pPczD>*9[V)g'[m}-͔ܷa&BIVr5&ӵnXYo\AaU+L'>"64,?9fW뗬cl.y-I+/k,K>g7.aϟۥKn/^k%~ύs֬];8޵b.H^eݖ,=ſfq}d q 7Lf g[Nv!?^X2$Drɾ#1q8ܦ `i{'w<`+'ݯgpXrƣ'V<K[7rg6=KW]^W dʆwf5%3hwN-,DRpʺ'w$a#M%6)Y`H6aH咝.x0 \v{mJ~FXgѲTj SNmw-.M QY[Oz }weϵ ~}J>{5ϛ`@|ws`?<QBlqlvvJ,s"Β=\pyV`jdo~>u[>O` *Dr&& @jIz2=9; bkJ2H#(+e4N)(T-*0DFdHz |0%YF?o]v] +KrW] NT.arѦKE+ 6ת ʼEu~yFJmGτc" C#E϶A  g)2q {PH x ~T@!좜sF9q> %sؠцkt' @( ROtR493'C#GX_s3Ƿ,l5fvFK󯯟H9@jDS]ґ=1!0rvڎ@ٮ+Extwod8_G۹-}/^cKJ;( /k H-Dhc OǢkLDwtzF(C7(.XWoMe*I۴]w:ӏ "Vlڑx1rm9OuOz_]Gt@A&$}-$ںN:NMhh$Y>b?99Kavfζ u{'~xk]ykf&c'N7ۊU~"u{oiGk'oJ5s XIfU:vm$.tߕv,+OqjVo.XI;+XXDvZ`.ctcP*.tV[p&cIm3NF#1'PqͮIzD0(O谾^ mmmWf*Vx\[iurKͳ:]R/aVp ֱEZ'.ChR6 {^” >HCl9 U,%YY96QҽiDY{@:Kѕ'@܎['cpm-l'kM;*s"[-RqMy""܊OT&N  {Ύ=n~, 㤾)B~^%dmɯHK}vu{E$|Ml,%ݝHf㉤ţW,T<eK"FF_7_z^m c1EGt?= (SKoyX+'4cCc{7-9[ﺎȦ=B2Ŀnv?kbz؈& GC=-ϵ~eK NKCObsV^Ij[Y?Gحt<߷.=:=tA}˭h=<YJ,D+3r([PmW;.j-Yڴ3%dGEDbN&-gl"Xfg-vtUt`Ȯ >LتtiiFfjy(3#yWއ(e Ȫ@ܤYm#g,92 ȼ AΘ+zT`tz`)|>4eKBE4F[E뇖mmZ}G lYZD3_:g|Z'-*8Գklʲ|=fOܴC9uu ;=K^=*Y:4!X~^ ;s}6JxFz;ݲtS//8ZRlnڢɬMƳQg_~}s/W.uP(ctM?+*OӱE(ҤFcA yOz}ԧDҧUSd7Hͦ))_m/ye^G.;kMX` ~of_ߐ5y[3Gksfe{ξfm;}۵;ed>Bn 5J5nݿيfdRKzv7+椃5Ue eBNZ-6e}Cz~q%}CL?Mٵ>]zw^/%[Xq+!$s3eXU[.dae,hj]X-> .6`{u{F'{J:"2k|r(udppyh[ͺϿa B^7q?m![c d'ق];l޽mwd?Vlvƌ1&<+/+ +EF]v7]QJ,kY<'(C‡Ӗ*MԔuk,>lQmj,1(;h<pϹna_fuc/uQα}7","aN^8gp<voo_߳`CN_Nww,;a33[Y,ۣeߴ?Co~`yHd"%ӹt{w\FIq]0/ۈ~Р[_=!bE6 QmFe id,ʘD4b6;FȨE,jVlg{VW`Ά5-QߴdmE%DЖ=?"r$1H%(Ÿi)}RIlgn7_0g1it\vYtuK$nm)) z9Vu7/-ζG N4ϻFy,V\x 'g37!YDp;mecڶvkZz&|22‰oOܖ3skL"9 3r0=31T!\VB:3<n7r^u{WUοn]k#YvfŖ"w\@#=Ō-ِr"O e9{= 0rf5%4w[jKY;oo? dl}}n~KDyFdpww684gj^ >"t^Efgxe{ǟos[ >d3Rn?#SGn"-fR[9E懥ӣDFB?,b?azo5:}EKL -&0"L$Sڏ[AC1Vj"5H\ӎ5g.YZQN\YmiiҲFP#bH}{H{0 tAx5YHAڇn6?=i#)>>X[FO82+=e5=k>GO]jkGr% YVH R=H&HQA FLM$f2{ܴ7UkX,]YxuѢS;"),Yqn)ӈ-Sdvb)Ypc8j]cە1mǬ$T}k&3v(\D y/^߾vɾ ri4D5ځ]{2A+"g]p'J&Y]vا0@}}?.4)c R֛^XdU.D)G@\%!`K cwL,YE_hӋvx7mvmϦrK36`ve?P[Y1O|Yh1^Y^% fHOo5mj";;jפJd&?8fCvw@Ax^znӰéDhtKJqZߐt_6cdBcjZzFGdGD fhfg6۬Z!zl7Odۋ4} ȷgDrmr/R?Uu(')G-2/pl1IJll_FןE_Bʳ|>ua9v6z/r\{Kto11Dzc|zPl;ݟX\}[ص%%7SoK[;}׈o]^11r&M6KAfoweu_b%^GѢXe%+szҼLsZ('g喅5nN$k"i7ƓvM6j߄k[mmFo%p^~2+W/g^zþU{rNfm<SNqOuV@˙b|p=H~20 @ |`|6XH|X6@E>$(Gw]' Fdֹ$X„ƂE[eՔ_#֨\nHu?On!1+?ؕ#$3AF+˜:/J(=vΦYW㩔MNNȈ @uuwXF {׬ MguIX.ع>>,R-q-[rCeǧ©k7*%+v(X-Z 2_<c!A a 0Ex{y~(#=d-Υ5<QlۿNŖ'>R Y% +d/9} ,͇(4r8eG7] Y̒|7}PMP7y=#ayG6Opun=n⎕Y%j[c3. e^L/HJ+YI"J(iH ',?&?u 4olem9Xo5?k_usRǀ]56$I:,H_<^m爿?|=.@6Ӗ[DlLc]ח!@Fy{[fꍂ-heڟm>}O@WA`V~CEvrz]8ݐq NP$fzȽ"-ڕKvGcXDbкX-ԫ! !zz}Qwg E P= ,<qVr ;4Zu)D"#s"H͠@g3a$ X@ZdYr}9h}Xנ{u5e]{Jd["Yãq0k/C)`mr2[6mUil(3$r2w]Zܠᑄ~9F-3"MЃ-{pcΡO yLHe$AmgHْƛ,,K8xu-6h\@B0Y,lw}^&Ó.p`@9s2\6oTm͂e<); X@& |\&:qOKGຜ w}d*l&8RT3Ko=.d1H9-:h:kt_wS+̮vg0g+շw?{n;5߱Y  <dqbe9ƂTIY8Lbɒ%[͗^.ڹE쵫פ#uA!:_$Wdƫ.X,wNmyerYٶvwmm{n4Zrz&V‘%DD_` ٧BlB}ߗ):Eڶћ ,"Y-C~MF˷޵9UfLe|jr o?^5Q 0^9,[, 0 gR} j`̔yYhحw={-YsmM"kJ.]4|嬥'da[Ә,4fEmnhŖ EBJVllp atbEv aYxuXnzi V}?NGszJO#z<#{PZ OTM|keTP3Zԑ"RHmOEzV#ɪע%eFYO_PelcE?- _;o3z$Zs\MOg_;CvkGD~𪐡6$NMm4pSg++JWse E3|SNo˯]p O߸rå_:DnC.@p[dL~?l.n%X*nwo۪l8mRɶmKrt,P_iX Ă|ܑ;4AI9ឬp-LvVl3&{Auo÷k@18K!" ;[A 5gge@PVc`AC*C:U..2tI=<%koN Jo@p*b <xb0u(_gK"ǛGV[> LϬhmfvv鼦0U%m2G_||Mj [VγJeI:YؾJ\/?>אI׸TD޷gS~u'?DŽ&4?E3=*'mtXv%9aq{\MeRzϖ VĐ 约{j噊-̗mof_>v͙)=?9 `4L6'3\>8 ULd,I[ re Ĉ ثl߸`C".ZWπ)kGB"SQ69ar ٰzޒŜ=z-./YRZl;k۶#Lc>gߞ]ɘx{q}Р=wra3avb=_DC9?}'6Y V<вyAâ邝}l֪}]F^<-}g$ ş?ӧ#Pse޹i:p= 5cD<<N J, ҥl53]߶ŝ=YڲH¦dzY۹ydٖ=e1]+P6'+}]/~Άa+ .oZyB[=GS~ y-B"[{{?w?>}@i|ɖ|#1Jaxu]}?KvrR[-J<YOϟ|d_ڣAR~`=f(k,\!~cvviac2#M NXX`_;Zo].a_le8tOr!dm t&.Xdcø Ypk :e|ajmm,:tā:q R"BHZΟ^ y׋A  )GV.s,O{g,1/(0p6K@ep bB XV"`2" X݆*t f&jRkQkU^҆;eYkd7PȦr3VY:)P(/ 7q&<8:w4pb7 ߱6큀;ǕJNp/ zzh + @4HONemt*:c9RjQdJ(X !mS|6NC1(%" tfۣP\6 3<Ӝȥ(8h3  % qlKju2=Hm"z:i4p)4ʶMU4 ;iS5;Bv;Lu-@=kr.;2u9Z.Fm>zboggO(K48cdfh,88ɘE+l6/"9(tg8"}Fgtv]Ld/kr6 J V!NAtM~#鲻ʮ P 4$R3 [ڴ=ڛG;AY uM+>i9ȶA ?%@H;vwf'{Nx{,Og?x"oܢ$97^XIwd]SE'LϻEw-nZ\cJ7}z&.g6oy:f3kgjN!fjO%޽iwnۃUOquޮ@REOW#3tqת"#8Kv>{WCQ럚QLվq,zCD:3kj<t Ph&X/7Z "Y u/ߐ][v9MV Pk>wD(7@(ufxTYge,0swݐ?g̈́ LRF"6?'// %k;oRNyrN럾k_7;cW~c 3F]Ը*)фs'"ybJ/v ൜] Co.tŮ{z}AJ Md̥9}6bclY_/I7`0„ (^@RgE&W6mĞk.Gm;6|!eQ"A{lE]y_}Y)X_i}u+Z7R䴶w[b{v|=[]ll}cMOK_phu]W / t|h#B") E`ݬr)HsesqDfsUkdGܲ/זEEtvt}Nvu8f=iH ^q}JzGB6`AШ]vLoYYfҵ7o?|F2UwN;H?Y'u{<-(;X:/25U֘ +&巣e:+YnEt67E^61O_Qm,mmٟ~ o_t^dy{G$EXhVlzfRU;}n 6YĤ/++z7 vyĔeR9K369X"ݙrӲyq .`:oC}nԋ.u;v|zϖWt?Ikgl{}׎٩HݯXFhlquc <HZ{DY_ \=aM!EbObuGڲjB_sό:%a=ۻn=yn 4"icsv@1M guv%`W׳IεwضdoV[Ƕwh+̠>P;U"=( k 󻀁olwzSq^>w;ttj$\F䵾7ҥ!פ34bCG13vˉm޺1.9Ҟ5oiw> O7yj@s>g۞ucP"z8~N/UH`/vooTv!Ǝ–Uf*6ך=X_|/ K0.#6%qRm>+EwNxnq2- %bWϮPt0^6Z/Nm(͉$ndjqtچ&lmqNoE6?װE;_m)󒀿$, 3u) N  z 9a\ w= bgT86FHcskn(bWڶMA *n5K|&"#M@2EuMT~hmogmON jg ;.hZ1 ukO%ivnrȼ;3eޒoauN ;.K Re ^'ejK͗m(AD[etP -U[nfUW$P-HNlL3Z}QRnx<R"q ,`Leȿ :%/x. S*@6=$^q️I2iE8#rn%,M8uWdԃF+7oAtDGZ;?x5嗶-]XNo?oK%Ĭ0gnj%%,#%+/~l@gROZdn ٥a{{. /\s;쥋3 "oq#`eZg-UjZNH YC';~2o5liwONif6uVt2 \ͱtehQGJ6\ސ |?ĥ1.d* ibFЧNΐ@PvI$a폳aBC:t1hgE8fr};y퟈.Xzls[Nhґ( B ,#HJd!k;ug;޻lnKNovMYHbXDڕ/eE4.Q>3q;u,)=x_D!(Pj:l_Xڦ[_}ٰe[\j5+T>qS]M:9ـųO{r).@({heH F|zrPa _ҽcɂk~FsY̜ Lkŭcf8igitG:'< zO\go>/%GC{- \lZ"޲__ZyRv.}FhS9ˤ[ZVvL瘞/ ɇT^uކ9uq%8t\g]zuל9^pC>:oTI:߲LeR36ʊRFVx@Z|tBSQklgؖ tK'.@) @GgȈ++` {43P`"H#=I{x^u? Xއa +%֚֘r]i&kHWe]`XryC_Q^t%[J L )]_Dv.:clO5fdђpQw|lOك=߲kJD齲+`9N\iuV獝[h"9]>Nt_ HYsyK"&<D4m㱜|ޞ5vkM0٦[e?\ z߮:kt=W6,/, xŷppkvex\]T&0ݧk[&QB&MO9gzR^ͅc|G =4ҶJr#jyO~#lOƧY0f)apJʒkn uШ6.;]h&o]΁o]D'x.r.@QGV<gbJ9KVj4r3˛_L¡)-j\-䒽v/ %2; @A!}P-Y"''P&o!\<@đîd5ηow ׅYo>{Nv @H~=>.|.KO%ɼp,h#[Z[>pV>Edyf+iav%+%Xf1atC$U7۹K]N%9m0)";iչU+ eeh&1kYk#|Soۼl$MF}`2E@)Št 1$@x>}~yy^cy )Y GBP_p6NC{溸K񚍼-{mێT880YZ֭#/GVXDoXHH4Qg8RȢ>$+@Xw(nWzo]괋"WctzFmuشg<4GhR 4 [Td{cVaBjͺ@öed&] Tvݲn5r[R?@|zL`,pc"r8࠰fUu$A$ rnF8 &r{$-6i( ) 2IΞl[o]ز{[RWuMeeJKz-ڈؐdXeXsK:g=;fcl嗒FUs2 XBq 2쁔qR 4pv ,@\cC)q 4C:Y yREzl&"K>$+ V | 'b;d7:{:D@w08;20Uѽy2+THMf E֘ /% e@z&M=] d.3y6L\ hѹ$#%(W=/_) U֭k~6M龀tUKZeܾx7qt]3K;d U;4Mf9j:_5wo<%xaƁtvo?vFǒy9i ݮ7{$*`fgEG-lh*e)͈(k501eeM0-Ұ;wxKŦ Ι{N DXvD1";g> 2˦ |"[: l"$2`@G693sg|=@J,'If]/n#ECcKԬ?^& #[^oK4 /5{tgӞ<ikDz is<p])WrMuA!]l o.+뼧k6UTaQьȲ]sV_Й.<-ڍA{rE{sv^DL]3ACJܖ퟾e?ÿTl/I6=iJ3uɖ^w55y.z-2yNXp+gDsOD@9b^A pA~N6ZݵS[?yresmC7?mm#eUI֑N,VB׮@*6|ڻ-=ksyKEu:y L%}#!(7kpe MRpFtOؐBؔM/lnمk7wpV_iZQc>+Z2cG75u o(?k#gAAt .}>^eu}yߏ x6K$niEb@ |]pU "5o޷9R(:mӺp2%Z'~hn%/EW2ĥ9v0 "5*=k)YQ_ߗϿmo>eG)ojk27Eu]Н.tZ5VNc连˼ Af[:eV-ص;Ǿtu{na~EbL ̺l¦myl?8"gU?//@8\IU>1t^#[3.ߔ-=5J6< df6o<? I=>EߢP@Xv? [F%bs}SOap$n* 7"|BUkްPaNv~c[ܹXqqK6oN`Yr^>sActZnV88 ZdH$F=䠣#6NH&by4(oHl@ )[]6!ڂidJ Ӯ[)FИY]#VC ^ 'X<ug|'q@;}E>>П;r~@_ `<&>y/o H}>d[U-Iq",ѳxS3/_veld 6k9w}/8ό|+yoJ_wlϹ|->=Shp{.FI߾onUS<q삆0@V,"_.T˲gu7kZy~Ӛk:\;wKWo.ص}}60/drҞm{~>?>췓w?|[r<#`K7~!Np k%g"BpqC]W (A(GbK2qK3uYpݲ}A'?wid(2Ԃ@cRZcqmeu@XuYOf*.`*S̖lH{0u%;Ǭg"lOI&o>⤗Ȱ0 q0pvÒ鄵^ye1AG35Y1,ҖHKmڰcnV_ᑀ$$COz7CK +Ljτ!E [ aDO &0> +5 4!A[9f&EzF 6_k/\mco[{bt/4msgղݐʀ#N>D|@xr[c7̆@5Nivֶ;ݕvٲef+NcA9lۗIR:o]'DlB'K%Wl" JN(gٺCɆ'&իڹ׌ewX5G ʮg'8#;8#G&/,{$/0,#zQ]>G)á{1y9pӖx5adm sS H" :I_# yqV5`uM;qh^* ]kdv~7m/huPr$?GROe,MPj4k 9qq%'xKL E DR51~e9qg ǥGktJj ^bcш̚Z)\8;kGKMEKnl5umD oT}L2N6셀3}@w]ֳ<"ߟ`@{r 0 I >ខxH3s6ؗ gYi3,/2句vvϺY<@{@w"Xf[̌$,.ݹfO޼m;w5Ddl5qfĩ[v%<#f*#:B(-9)fD^r68pIc!i]Ó )>h<?._﷗E^zu{UaD3,XXFy ̴SP\udFe$Gfg}!H,>B2E\P-0UammfXKWv~$B(ۯg23<k|CJt4zg"d=e*m}[N~wϿ~˟9 ]{ sJ6lI!M>lnzFmPR@A(,"Я5,0۫gtOEWF2'z,*@&bُ׮P8luZeQ$/k5[ rE@ܿ-gB%LqE.BdXeUteLD  A[H~~GGq&yėp]K8kvنҋy' Ԭ{<{~[;GE +2UTldn?zAѕYȋ}(^ X0i_|̖e$%i]gV$YXwno=>훧݇$;yj"V~/S6-q9[uAC32m=ʉ d$ѢuO$l@`2]JQ7.ڐQ!31k]k2ApkXOزûn„qCm^?|F=(HEXI Mi\S)b8KSzl爵zI蹓vX~L/$1/ΉUYo=ag%ٿ+ivoڿ'~F_Y+AOæ?id,?y&ND^ SDD K/+-;0"6$Lvip>{]D&\J8`$,[@pbن]q]V}k9x gV/溮eQt>Paf{YH xyOCpl!d@}|g(N ;_.'bMX2.ɼ{C]흴A } fpq }r>z UsVw=xJYufx֐_%)pk/RKƊ ՠ8ᠶ隍S"qĴ4:>d. r}.ؤ%,>J+;)g 8M}{ϖgu^x x/c׼ >1?Fy&>3¾"#ݮ69:oԊ2P>ٷ-ӯm_7,GV 0mr1Xw< O!G]Δ\&dCV!mYnH/)<8f}r}NW{,l=1mC"~z=Dl D`|I%-WG՚MˉXL ( DA$c H?3pO@q- ýb]g p^0S(Ő#x00&@@nEl}" @2nRYE22ʳ+ЫDnlv.h¬KcЀ6o3- |JqFraEEB.it4;3P]ޱ w{M:q=Vo(3 @jEdk#nیz}-G|XF,>DyDR}ݿcdfzG[$KnEZ.#[ -y!- Ԁ,TФ0|u )uL[vA&E:~7Y#qF dED"R 0Zɚ; ZK:!&K[jwofu ܚoQ̂}Ͽ?o{QY!3 ("PH3NR%!(i>3#Q_88+z]Ʉ@"E}o8+pKd`L: h\"&R!?,'}y¹PZBAXq}OtnbreEM/S @LMYl"r[.(U]+D=%F|d޸f+A2l]qGf % yIu59<t@^" M䚺Q{Nt)Cm1إ0kR}L0%ӂpzTJYn(_:E;>Zwht5ui.#,X@.)I7]V6䟎k{Zn&e"/Q٨5W_r(4{͏h_^^}Ut?s_b\YLj4=K 07 E 4{1=7(pF|fAL*ONjMH!|P8PA Y|t@?2^)Hu+/ W-Zs˙rwo#~jT{"  !),0qlc&Ңq-XlwkOL 26vG˾IT,؍q0# 8{r6, T4nϬZOg,W4+\H(-m&C\mizHi"J+a^re7KymsKuu { L-@ܙ̺@@r 1}zPֶ貊n ѻ߲$-G"ӝM8X( 1!ᓼεX61Yl1Ԛz]5VyIa<2 ٓ-mk9_!9 XHK7mn?ymiM-o,ݫ112'1I79}?l~YDr ؿkW.߰Ͼ~^>,Oq>i:|egCߙ]F( cAvl|"gLE@SE|$0dT~و3 N"71k%}ٹApfA9/}"Xe􃏍ŚXNՅ}{?}#a%lݕ% BɁȑ !dZzF%c;MӚ]Qj%KW/^ kW6\t7UdFx4mz)"h$K]n҈`#YEI6eGD" u+V\$Kö${KJX`B:06~܀ -` U{f!<ș'#~>L1[t}Avgo'큁vrkuL3\Q.ٝ?]rXBXփw 6P/~뇌"ϳW|FhF~}fEa)_=n>5z,lјĝ_!֙sOtܶ><2gAϔգ'~ ?<%Ҍe}wjgp>/f_x.ru>4&Cg ޗs?ޗ}Yۅ|@y~@[;&֮9$n {`ild V>iS'`M2zȉ3`p`2A@`Xڎ-mmCRǍO+-Kzd +YTƺFD "#c3[bhZG@dĆtCGD]@&, X֞ 3H &gurA)EB 3A@T]Rd8lHF0à;`pA`#(Cu#y iݬ~_fA– V$nqH9"?Xr$H%3n\NpU`}_`OģMp }^d LSi`i2 -ސX0wf[j-ƶ1PH}WQ:\e@X!aIHάpș7緬,G83zCC 'G5YDN\(ړ-v%;w]tr3YCYeu s2dNitH#*RklkK`{r2Y" xfh>8eM l)qfo(f*46>^`B*3RHEX $R @hn#гlsۇ7?j UTӻk_B`CĀzEt]:L@ nX={dơB1/l5Y6("1<JFbONJ,{|Q$!mٺnh%K.,EUD.gx*lXaFa+ J^+GAyH E $׋|:nڃ|A0&h#ҀS@5 = "I(SŹuۻ}O\v{v}`Y@1 ,Ho&k.`ʸaT9;=ٰ²q$c+" So`/EyXBxsұ+Wl`2VɸeqXz3?oHLL74*{V nG$?+=wgg pt,."~?UdR|\:?Žj#7$HS%KHq?N5Nb;cJ?bgq~H";ǫ6/{?_ӳHg2~_w~+/, ЍOsY``MpTW!GlK Z"xU~mJsK{~H?.&,}54jt OX|ZD_v;WؚH-:]ڲ|}*)꽊Sq˖ N#"! 6sX=\ӹ _?˰ ȇC%R#2~FB I@G$OCZtwޣ~&9Y,Hr+.@ddh DuۿԶewƌܿo/;oC t< '{6{rn FD5+O=2oՆ[Ѻ<Gٲ E+84G u5=79.Thaq~Rז2ݔ Q2H&ʥ..us™;M0jjπ*-,(O}Ft"ɪl{uهCKB``G2&eTxxN΂lt@ (H©JzOφ#=d;7X~i\@,>oQ/YM?+?~OkVWHKY Qq䧶d;S5wY±'][3929\3+n%bSv5]3K0K0@a2d߯X8[t\>,$?/YXu>2UpY麅3E,%6<oGwO2(^=oEdߋ{` z_bl3+yywkpsʦ% ߃;w>N|77:}Jp I,^<:CKR*[Q8H-%\NN2&dXڝ5z+0h'T02qR~^c_:+zz6\骞M՞^˕)TK\vgL&ْFt/\ 8yپpx9P3Ϗs3|<<Rρۿqծz@nB"Gq|r6nXzNeGwL2iAB͐(Ez3kn[D"4-|H}!}2gֻl9q peNrY a5:$w-1 g&ƂHCVkZkejt]ek5kK$"!rK[_Y^ ]_)P@F0[1Ʉ'eCh`9A\'zM0f?cemEP hL2; 60#o02bh8=LiPu]wa~oցu}ywWrUǴ "$BH@F^NOw&,M#(-RH,ҢHɬ?̮M_Hc,i tGչcE%ڡ$%ҌE" r,93S㤯 T^k7[oE"655f (kap&ڎɉ=x ICw |9fKe䐢O@ekflPҟ1@ҿyDe )1!p!0؟Ը0f'B" BPxݏ=\vC+ P'֕-cOe/{ J_N!.QdYizn۞|cG2-J_Kc<HƣȹO5@ҐP&9Mp>n{^~ݠ}Ig &#n-^fC{e[ش PZٲJk6lqkǚAҩ%ϖ@q+`D&SN)dY \,@_^Cp@(iDE^bH ¹!AĶsz_ ˚1Gٕ9T؎i'wKkv;B53}He7Bl˦!kcGS:չ1kl .4YTτI\v-6OlWKġom!픲)~f9KlWzA{e{5^߲Mr)M'RDCκG'^1[^ұ5DO>:1ĿF3]Jݡ茖%IIGb]3aEDz! =䌎Ⱦ@*x Bʤ-Dceh_#/yR>1"7__}Xz~7=ВCih2$KF12-6WJt/9]5N`\:.d:oCS1كMLEJ_|j^|޸e]C18f} $# ñ%EDki n,[.˕EI;)8I ̲ §e@dD1$ >=>86}=$A>| ёlr5ӲAAςCٞ}圔B>"r,9]ܑ.ɟ/ȯʿ|<Oת{-9_\o--ًy=[ըt4$]]r7C=OĄqխ=W#єA \[6.lӸER<U/Z4X7Wet?Ecݢ%Y둎]٫7WµNxILN&) ;)Aɜ8ɚ+藾Fi.+ʠ^χ(H7>%Z|crZRpbeuQEl76ߓK)pIn`4d[ϛAQ,@0㳓S" !9PEʬz&{Kgz6+ȥV-mO~ӿz|0"4~m!F.@, 3kwmaC᭒YU@=VFǓy.M߸eb}zCW:gxҮ YP҆TȮEl yH4/޼y[6@~\JfzfWma[$Uz^3<A>4{N'} t'w|?{'R}Rg 7vjk ~_vwg1w׮e 9̊#_z_Hg/׸LUVjd e\ %ս6,)1$WUr%̥Sg_ @9Xnotۍ>& 喥smɅ(uK!MSfݴ:kѺ] d:*؍д]̻_&{gۅc|}$=s[ AC~s|ޏA>׮c9`ztyݷRisu;9޲OnD58!ڲjEX]8rM΁k*Rh-Z2Ke]gDhaaA;wr]ao\ׯ_+]r#^ RL]HHO;՜-[Zjl*m-uXsՠ0q&"\oD,oo " ;h j;LX?3 f%\:>K <yN:F!7gϮ{F XsȴֵnI _;Vro! 4%p)L;I#z-Ț_ff!i B6C{Muzbdx<+mpilVmؕw&GUI @@ gJd Rd\'ʕHQ@ʒ9 n 'u9h^"āv3/[}ܓ%xM@m0IV<3 {dS_g$;% S_t CLqw&12y[_b8f krVu\oٽOe?> >+#?U' gKCq5cV;A ]3*5-)@!¥>ҥ썮NBwmpB 6 i!wNآ^zeOw\ pVRN tUΣ`SUIw̠ҖdCFZRX}uV$n&@g=%P0- @0l@e0c.( 0}[av'=P8۠ RE 4̯[email protected]KV3ʢK &-d%yiGyfme4Ceڻ=8jf"G!K`JfQ!p!Аusy_Do*,s\И5Kg,_o-5)D$oѼ<E2yj;YنlӺL:jxM qH֥:?F]ƒ>Mn H=S[@^38Y"Ϭ>_=\>ʊ̜G6#67c+k[O~`?]#9t>$c4`DJXxV\AVcm0}ؼ%UK6*&10lWjWa]i^f^f;{ݲ6NM F c6+3<ײ767gjղ՚+ԫɘ+$$]wBt?GW9:q\:2! }  6\O[-l$D- &`E*HN@>3%}&Z['|Dm+5Sxҡ ˠ"B)|>~}/J4Ft}J\ t?Ȍ7we"ww@~,q+WE 0^]0pBʞ|=:o]kƱEjKcTsY&s qVÐ-985TFcdQd(]͋S,HőxUAyDC]?}ϧ">(t B_z0.7J"ACQm#E=lw^=+פ(8 q~7oYvU~u{oޡ5j -'wfeGcR4?O47ENd{E"VE }d?QaׯݰDff V.,Z,1/x^;w^{WlB׈xAh. Xخ%v9騈ޠ6oj^v +i~tJr`gaE>$ᬗA;)cI>C,56է}>~6l|~1}u}ua}M+ҩMl ~OE~g0{K'\XI-gwb-l_y`_#+8 kjlnF,S+n+)\JAim{V]{$@cĒ]̎ZytbͥphWpV8l7(_&! ʻ%A[/;zŏ?6x3 {g){&0ocl~x;`k a1:<ek.sy>W{?4HG$X@}k6hiXDIҹY:q~Q+`^.9q=IhԆ&ǬcϮNi_l/_<`*>qE=4d#2(dte63,n}ezx"U8%io12Ds8ȡR;>@4(<@7wi3 DV 3 ٬BC`OƚM_k/EAgXMtfŪK붸6ljY Դeg]YQG|O 3;=Z"ΐo ^ݿ+{|ؖ6H4~I$Ağ@i {]+o ̈ZvReH Pf2*C>f6Yun 32R Hg{1?sKsE7v5_ݟiҾYqrӁt)\;,'c #:ұ) [j!.Ȣ > @0D35} aiؔbiYjE҂[疟䁝?}w?%uK+e]-tI (<:%ڵ yN${<b{l*ڵ>ɹv{>U+ʵn{J}jz^7,F[ru ݃6ϹN!Z1{A_|ElJӭAώde z-A03@2>Dtiňt {-XHOYFd#f(;wL5؄G)Odʛ({4 B̂RE`m,*aW6)7UE^V zP2 u$N@,$:Όx˘QpkGEl{';OPk5: |΄1ҩ5٥Q}] ?̺%ƴʱ_j2jSIӪMKWER3.6*dHw+/1sҾ٥v3M2ACFWRADd|YwF]9`@_:o">"LiZ?KlvpIW_ dȏ˗KOi,;%ul雏֝w޵" AV+!_wd5ْ_4{~#y~Ȥ{DzzN$3/]+7UWoEvI+cC?X]Cvm81g_n骤qtpIK,ݓA9gV? 羽ߨhE>fC,% IH~XC~[;Ҙ9r Yc` ~s0j` A[}jm~hyN>sfwE4V͋$ $Mc>8&"ř1D5>dED& %aق @Vm(x-[[怼&7i mk|,M@4+&e8Yn}I>-B aŊ ݇EKM=s  8l`<2vzxBn,5"nS}2ĈLDㅴ -4*?cgy齞HЯ@(1'?4N`!CG4@ i+Cڧ1bXE_Xf2a5aCvOn᭛m7ܳGo>|}/~`4&_FxVjh[cpWvSxG$'N+UKą[4^* /I1Jkv^tվxᲽr庽zrC.Lon{mx^/ >HR)ᗦ] ^ .5gK53{"KF ׎{†xB>?#0>6<OL [hjEEctbicME9~^ľ&Xl< RᙵfFܓ^1[\'g{Ȟ m8U=_OnٽNmuu4d㶄7Yޑ`% VBrK Bc7'dW˜FgsBDB>_{2n  a[RwO$.KJzNCi٩l$\>. f^p$g~,*"<#|w^~ ߏs. C.X 4Ʊm/l޶>zj_v Iqi8*zMhr_anmTȰL Es""#ϕrLddܺGcdn ڵa/c5c#iƬO/~}D.P.fqavɄ4]}0 @@g%C Є0h8"q~. r@)| O:35DHd s(VuD>#&tFD0 HIW2"8ZQƚe#iwYmV\J/0&OKǧimY!S&:v,`艢K +d'vhN$;9s)3;fRg"ƚ"w͛'f])N֬onZe~jr5ge?1#=4i=C.g4lCѼ U9<@cy,2 i9ˠ!\6t'aF/>DKƑԙ܂ e#Z+q%rR2y `08K#! HZiLc;"Xߔ=XŝuM?ꚀjF 'JN,xjɅ[++!L~];@b=W7wMU/.Gl vJcEge~2"1%688 rE_9~ԡi `ju-P l +BQҽ@]w=F+IW+d'y@#ؾ7Ô=Mi YXkdm}^w<: jf9D<!yͬ.&~ho\[t8Vv`;(B4{%A4z|BM!;3kV[VX9{hwm 9rѤٷA1܌L!1YpԠ)Ψs]]k e +]]5ϫ}vc.N YuФw5r$qg+ʱ\S怡vlg$>=t,yEJ1rž-Xss[aٖ|hW?޾Hžed iD4ExUJtݹ?ʧ$#v.u*%뛜 @8Dή)XGdںEתt[_a tHhB"e\m4^BsE/ *ݟ>Ouw"@ $C#"c |ݓ)/!əm{">a%$hC)sN@r޺~O"n9VJt \E:9cɖ~GvWmew^vEmr xI_-ؓD%")" Hw)ٜGR)alVio};9> }}6l`qzENlݍK%7HصqaFĘtENGc56(ݧ+{jHׂkvg.Gu*1 @_5GϰAt݋v~Lft#2dG.x^5l V\`$zLO!.~O>e }0\jYucÚ6#bo>GO~g V<IKn8CC|Uln_nf-Q[TC9>-;(-mdƣ?)ePخԔuF9Ogl"/"0`RiJtI.˒ |[Y~PAS/W1I_+C CO ۉ"=لx ՓE/~&e%jnYWy_}Od{چ+׬o|Ŭ0@Ͱ;?sN Ϝ,Odc~~]_C;{b[U֬l~ x֥_Mە̳T]DidF't՝*U[=:pӔtڰrc^6j/wK&u^O؅XC\X& >.ֿ7BϒgI'rg1~,?voo_,HFr,8'*V>[:qoi?}joAKIe%g1fݧwmn¬ٖOEm(<eVo42#"`1Ri̭#FiOe4ٗ9Y q1kV^bVdEY6mP[VC*tQ D]@ȁk;#׾{̨dLF!zʀB#R J:c>]nQf(<]ѻ%]n/EPn?j~tj K(6DVopʭkJ`AH搀WfGEIoZc^\@{:/ҋIA\,8`svrj+"s2ؐZ4Q0PZԀEYDF ]rҋGc׮_NL`n߰K]]Mv}x:BOmMfUY:$"lѹXDf P(JM };n[\Af +p'S{0H7{O ϘL 7m G`D[O!X!C{Fcww#v;u?pdeK؃V6Rcb]aswv+-# 1H! BTBe?7 gIT]/#ǔ,[4+Imj?gQyXN/1ےh3ѰD.·*GSӖ_ma=\C{Z߽d۷@ Ĭ;06BJR}пn?0 k-HQ@&f#=]$z3+H=,,+Zhآ}TFC=ew=k= NhJ7${i0@ۜ[>.(x!8&SzFBRŢ-꙲EEDA,|ThV~&'@}[z2)xk>w>u7ۿ}nt~mMqnFq5PtK> Do)Btg|0p3 E ||/%`}:q/*cl/}4_`m-VfY}y~O}eIvqGFvYY12$2KR8ZǟfD6?$ILaqn޶h JaS_w0AH̚tNb23.cdL6%V^.^;Y`qh읾XK y=Bދ /2N=z=z&d%N@ !CpPoox:3v#Ұ>ZPŮS[_u:5"[.k+{B}v$Wp[1۹ul7=WD}݋Apg7E+.&~e`*= +%e,LӅeu7e2YCIN*.}t=d R Pg?p|VN v^ŋ=soeyɮv إ>;l SnU2Nytޕgn:g<Ǯqt zwdp"+J&`$ g4l@&/҂,Hɮ>miea"7g߳OSBs5k$%7-T9u_|[;cTe#9Gqxz"K3.7Exs?OJgl^ǛµՊ̮-+4DE&+TGz硋  ~zb!yAH= 28yc]G.x&x)>]|4fB&k]ӵ kGOz=<ga*pcA{ r$+a3ad\NJ&2yx:}tVd7c㳺M7 kH6Qx‰yeWF3.ڿg3/l=45}# :Nҟ\t^_}`xcsyq~^s1{<gɽm/wh<? 3^u]tdڿeyhՅ[Xwg~onf2@y"`v J@' muvk=ơ*p5z̎C!My(2ssv]6}f[I1aH?ITºG\dla[6# E[^[暜[YFVD dP8a@J f#VgD|ZtM.[@`L]4 dMIxޛ^t3aDE nٴ $}ONX >k%U_Y*K&JaIʖv| ` I\`Vv4 Ҍ9 HߢA'٤jaqc?8w޾c{{~ >xP/̧LQZҕϱ2%n3pwKMI7&N[ATLڲE=jxTCik^)w$%\Yzsi0 5)@͎na A%B9 Ps%:'u}0IC&ה30"4'.@dҏ9~Λ _Yv;utEҿ-rwmkeLϭڼ؏߳`YZ0`2ƾ+sci9{GsudC@誮"&޶piV PQ.CDÌߘXOR99=jڥ)y}"kXIsoީlMYPCJ _(Ya|2J t2? M> >f{qRtsʸtbG4{VTzقL/&/,AAb>l/=4@9 DIûط~];y|Wx `f* h .*=: PcBlafMf5~%)IJktUĨfgw߲ez:qWjit6 Uúx%t {J .Su ?;xtO| .)=/4d l٦ "X(yaN,zG6vlP@J@{{~=[?<ֵIoAcW<"3B\wII;PlYcƆƞ춀ۼg_( R.{>И׽d扙.uoDDo^KK=vmH~bWGR",Oxa[jme[-eF^o_$;"=g4(1 =]¦s kLSjHV`r2C c}Hz$]zݭ~Nc]P1x?`Ax98ѸL&l$:eo}C4 FdS Gߕ9 Ҳ)mSOJTvC{޿k!A/F_=|ߟf Rk.EX{LzO%wv$شI0NE"{E:&v}<'Rpz?"[Cu Mk1zAauF|ڃ.ȧH+,xh֭mAXi恕5Vvnۃ޳?\zlAXcEzkfӧ@'@х<C=K-[;gW-?؜n[nty"ʅDF( (er92ki;7IɄ]K^Jv-Tҹ>ȚDi*KwZ9ĺY^/GȢJ @?"܋|g|?_J#[=/Nul#SIiٛ~&cI;5{$E"}}@`W~}ßwGy{}F|Hϡe/yqO 2!MMLZjX#X*. YvGȗ<š䪞0i^#vz WG3”yeJ.xn!A ~=O[LJ?F0څq? ;ڥ}voo_,369L5VkcO sOwj{w;FʖKh`6A<eHʨlǶˎ햄Avߐ :o9G,[~kHcuM]QDƺY岜R.mb՚ i02>`?M$̄ ưΏ>(h pHMV϶8w@@@A gqAO(IJR~, ۠_JLvkqɥPGXu+J$3d%=~F{}Ȋ# s ^@M R:;={=\`ǁ3iz qb" GrNAJk'7S6v9ȴ#΂   r&(7Kj 25uaaYR@DKImsF]¹):gs+q(,J0&A L&d]<@gA0.NwO[v뾟 x`v1/[PO޶bvaǑR9v݃ #ȿ:&1Y``{nɣYZ1*PlLdh{nn(CG?ao9XauxvESKD@nBNQcƤÒƑt]3xѳv:wIf. WGf\t| OGx 'fNtק=% Bƣ3o'gV ۮX\`XpMHEEeiۊs"-EY+Tgl];Chтƨl*Xe I ^ah9 (>)[vCB:^3{?anCy <ZQٸq=Tfw{_y *$ɾ ( '[1iSǧy2w0x>Htϸ]xN^|gu :+l=<$x^|ߋti.?ڳRtU(r6WN?7vSú')"#`#f97߳w}re~eQ/mi <巵n(o٨١=gi 8^rQc@TR%pm<l|XfL m"!c-~<IS-B|n]KV3du$1z?:@pً._1qғdRU&SwV>-x!Da$q٠@//| Ln߶sWKF ɚtHJ Jm^klq>HBy$Pε%-6mH;ֻlp{Ы#syӮ 5A{Ê+={$tLe6g?&@XqHLP2ŊAEf ؗA>zOJeϿ{>X%3^Ȱe&32@.X&m𽐨H+p2 yba7|d+/mX?<~Џ)V'P "dN[rN~YkҳEKY'I-ɆCkonC1?%D4$;>M{>_Y)?Y ՈxQad~2s:'00 O'd8Ƞ'Ap-Bge~6mg3$BDѓy<?pn5srR<Lܹoo\Ni+UdtXy}/ù{y8ƊA4eU"ۆ{Oߵ|hk;{6jWһMg#! ]TBO%=Wʭb2(<S)ol؝>S6!}6Pl}qp'~{ y a3 Mt_^}Ѐ϶|voo_,H)$u8hG*-+0CCik'@!j5WB!U˖Id4*y{ps?<4z4_a&l뱶6Cz@/Arn6yћ[2 2אz".qUjcrXԹq$cϭ \#5:GuDq/D ;ˎp B\C?%d @@*G ' hyG(Cj k--e%Khbeb A Ʋb 2pYε[}Wm@D#@ 0֕+7,bhPb[9nIǯ6{Ղspb(tcV뀠ˁcadbJ4鍱,ˈQ q3r9{GxtWׁ1}&Z p/k sdo -H0uD[we xw2 nYM7]3>=k?[%cRúi kzs T36N0E0*s=Y\ڤNX &X5قofv>H3 5CQ.eIK/}Ht_&@4 m1,ˉEu58s|w/ x,Ο⧟Je~l?Ƙ> g5]'H59k=@$Ya,[(ro60=cσ!`PΩOq@tqI%=S)d&c#])ݘP Kݲb%! 灶@0׋ 08$N\qIش')7-][@KD) BJbIJDXR(> A;i?~=^$yA[Ev }`| #m﷋,"9p:S}Ԧ6 ѭ/?Xin]pE'Q;%ݤqkvnR9W4,4ksvS״} ˦ke#Ao|5OװH%89\z1y1[L[/C4&5*s*9DU`ʧ$lEz2n&%g P{=Ǟ* @3׳%@@`!02)M%x/H>JD"i+;mtbEW@ C> 7*G4f]O5ϺG,IZDY]YGS}y^}t_t}H68UwAN2'Ҧl=؋nS­e5sºY @+U;jb =?uG>a߫i/C=>%AAH n@D]0tzv߲G65kLfj=ݻgU'by{ We7# u\vt0HevOj ;" ĚM!—,)b8yG@Z!dՈ3i Q?+ȼqlτzP!DĊ|J2`u]G(* 3G <Yq}r3O=tL<aG\;y.cѽmr}KȪ<vwBcr)VwP~؇}c| ?}>*?',x8f7Ɋݐ͸>,Kq?N6\7 }LULnV%y]oNb,o[8t ?/>H`& D3^ۜ^p͜w|`g}v<|7e|~x;`MGd0MɱKƉS'wKd.! HXcvٷcL;$SV-7"&4o0qtdLqt2%2 pp3!8 FDĥBSC҅i+f\2A3PV _fs#}R`%D@]Wjd.AP[frȮG! gp ̓YvMY$yLѢMhGu'[E9V hs+-7(0-pSvr` {"ɱrFτ{w%ky DBQDb =v ޻5 7gXKРq |nmnmI,[:LeILƄ&i.9np_{C޹Y뼃 UgRq;ASܣKI%gdݽ} ' `B[_38v;LLܬ 3ˊ쟐wg?\qQW:"k+]q!*0QnKt[ͧ}'9:o{M `GzJug-wlbZ /  )X!UY@ZxWD!-"C_ (-٦KЁr K@">?N?;ks%a2A u}a\fH0.dpA-akZX8Wºh('ʹw3/]񄳑n=_?yu]4 P:D&v"UeoV7lpkuf|T:SN=Mk{:%45 wQ ڌ|tc][o+AG\NΩmJLAE[m=>b }lcϿy?y 9oBiy;.ZY?/grU7Y ˥#zЎn `[jCDVzWؓo"p(_.`\:o߰A JFWț!8@o (OiKY +L1chZEieSLDL% Kidۮ^H2KRgK׏?o#oNJ\6@ R}v>= ){]nIg'5":(2q [8H2+.ŧ nbsc+{,!0u vK{=ҋNHǤ_B vAFwowDNЕbxӞ8j{GC',8 &G}7BK633Q;1<Wy9^\$"^vzFq?{<:w::.D8[/7HiBIqpbХѣ'm, dᗟO#+J6;Z/, / YrLeom׽ Uhtq>,tz3,y!`vϰ@NpVl%Mk"/(}{`'>(హ}'>^lC0 n#QN,)H,<? v}<$ȱo'3HrL? (2 %olξ5WdoT"4OSۯdC: @?Ùο"Rx\bC+-!}.O}DoCW7k 2*|@t/3as@Kg7VxhwخqוIS6jEmkS)@Ö5Cf%mHӠ[B#Jw Q] bf~޾wd'MV٧ÿn9"nd|x5Ș'Y*ȀPͶ=H:H%\Rr%Vk[.n=G`/^xO|J;N96?G!ny)8O-51,A->GޗLOȡKHe"G8\풂Ȭ[?ƒ!SUZ2Bޱk}ry΋8@̎9+H&~Xu}&+1@W\F%[Gvx RRMAγ8'+t R.Ipmph"a]cvGlxd:F,J`4.!y&mp}n)='mn={<K 3$0>/\=w2VA^ cC$pV$ (pgAp{\s@Ffip2V'6-g) ?y`/]49"+#.'@jaX:D-c* ,If4S'o>{om=;9ھt2BrG$#;|Ci@䡎1iOkܑQDvIv@aRLCBe^(+PNҭ"沱< %$pf3:c=䮤Dy;go>/D!d0úvfS 4&p0*='ݿtg*gI9ױߺo9]C$a|Ş~[/YyV O?Z2 vUّ},Kk|>¦ݹo't|*V߾k݇69DϩGGr}N,@51H ]KW5uaʟ1f[.0^Ƥ{m3`E4dO}캷!Ŀ~^ho L VA^ =C=?u3Wf/v)Oߵ,Utiz ˮ9&m$Ƨ e{}{]-=9 (Nw4^dKvFX؟OmBb {,i<.d!} gVrB)g87VlHy+4-'Lg EXpt/qp0ƴE8㽳Qyqznd=xؐ@&I!;@^iqP$2=*=Hlz'bUu]e 7o?eZLH'4D'՗L:!õMGuMnaWϛ_am70nv۶+_#b3{2Du/xc<gWGvm4|*nBW'+]Wo ؗs9;c4naא> Ȋ P{FDx>.{F/(h?s r g]#w5$=P 8fw2$`B&=fp$haٯ ?\sC݉ Dt\Vgvc&j+kug:]1w]yړ%DžbHtnJdH,.L\3<OJyCxa? ?>ǟ?Gǿϵ}/gY}cgxg3G'BT ͻVjއ6~`E4)'rH0s0@n_W,|WirQ=&evnޱ[llZiUgMc}}B (A?nIƓv^/^js3"{qV#[^;?v y _O|@Eǟp~gΖ߆<voo__@mfkX捴Dx<ګ.'][~C8 .2d<:OPj3"75]tL'@0 { g5ᵀ M aI%m|dkoKq8p'RTB?gQMI@-A@{?D]p@q,.߃!HRI*5 @&t3N`r,0dhhF'@$5(<B WWgmmi:{>~s`\JSvC.]#?9P#!$3es+ֲ-hFw ) )@5rޤϑ2'KQd:E P9WH<sN,gQ]=vӮZx5mZ0^$1K+lYOJUI"H<٠> B@e H|(24 lun<HL@O8uL?GitcD8@kX!pgCI_d`//.cvIRJ{ڟYdndⱐ=zwl}L_5`t PVw+}t_L$W$!H)!'" )pG7ko=cj&2e'] 3.36`<d?(Aq8u@A=Hp{o-si8@M01E2Ba֭G9dխt=ō==u; ٤]YiQt^<Mg˅tv|Lɗ+cg ;l[!g0]-~I<qz&5 ^NhRj_>b/]/]/uVOkŖƍ":2{RF o63"PD sEe߳h2>i&`ů:'"`ݥI-&-7-X:oew+A<َH"V5}HǦ[$Q?A &H?&0懲34sGz~.,}ah[_o2dHyx>X^Bfl{ ދ8G p]F :F!a)]kpk'6!;(TCϿ)d<=[H@_8ʉUVnZiM2 H5v 97qJ@/.;=gU2g0Np<`Yl/:n%P%$ $!•e7:X̆R'YcaޕT0;/;}Ǡdg}tٓ{-vmH#Axqf3|~J$(,,7ڴ1ټ|?%D'?=ciw\8S~A_ʐgOAtW5WdC+s{{vË K7<$m ԰d(e<< ݨk;^d~;!hVd3͋4!0!Op(nRr$]/l~' O{R鉻 c?^v^f!D7?8=M;Ҹ흌ږ-llx4!\ͣS˗d[ֳw1?TTM&IcնvLoMmm[Xp='_팒4cA [ڹ?_ٹ}ʐ}}jEߪ=c9IK{y1o<ϒ#\ENvE? ]W &x]A@|}a='G(?57߷ +dT\s3${rDYvr; )6_Fj\  8OE]ARP4<\'RI1@P9\2<M%}'bڦ%a$P3"2}=222rϬ}/6H` AR$[DZl[͘i FwW>ϹFDVe Y~v9Ԓ#XU`p0s: X8Fϡp5 KXYݧ|NHGw)mRo4vpBY6|c߄';7?pQBTɕ0.|BߎEJGaJm ʁy{c0qHGnX ka|ƺ+QS"(8)1!9xŒz}* /3{jpU𤭶-uK (r*"GD>FLpc̘1N#H нl˅!V K쿮 aw S9Dx{- pbMep]ַcʹN]S+wߔ9?7?6IRA(p$ eO}hyלSR~=<~U+?$C7) gjB9.ESն}* D?BM8!a8Pm+atv>̈WDR< -ޓ$݋NS!@P@FO}$ܓ* .^jȸ ?M$us#KS]Y&o0z{' [U蝘c(زFGspTf[ʐ!O ]#a`?;o"+^qTRnVo"dĊd® _")Y;a&m.s )'# \ S+eE=U]CPj"Ms=ps@cHc]/ows7^iZo?%K'Yp'̪/L'P0(137-z\fA@)Rv%K`WB#4c:AL [}AG$f־ɣE g#NU:l-F;`Q{<u Ky-̼g?SϘq̀h4 16Np`mDOύ081z$3?Ct_q0jS[W`#u+ ,N#cz#Sop,LL/!uMv<p 9n;K/[ۯW,նwLg K_6-"q*vPt8(5⑑OŸuDƦzjlCST=)2l?:qJvANwhu?2$}?0f_Yu[?џy} LQ_ؑ/`xaaqX{_>Ae˫Dt Dy:*钶ң`+dx{t`rc[<iw#i'w&stf9̯lͽ0N^j n濧!];׍>?oS4^KB S;:6U|0#F v6{LN_0k1 -N;6S'ώt{<;3ŵ0(?:'ÈIv]Ļwȳ^]AV8(W?ZK뜞 adВh_m`4isDKmNHTQQ͓\Ӏ)p>3; YluqAx7a6oVW_|!wpe}4R[@BUX Q1+!#76lZݢs2@n\(%6FFΈ`g14YБEX-w\{--}sLoB/ Ÿv:s:ϱ0qF9~JqtD>qm3}Lzm(z0pcνECFMn{j)ܿ{zGö@ؐ5'9"M R>"X`Oy<()P`ZƊ pX$<^l +D0,^VnK'kRՖWl!;>epCh00# :HP.G<8!5D Va 0) 煾#6%H5K{Nps (s螔8a* 6v5H#Qژ p/Nvp_g[4Ux)s;m톉vyoþ8E" çtͮ#}캅 c0f?% RUn2V^SR&BܿnYqjĝ1Pu0㰰Ţ ĈEG-{<-(Q0ABQA߇G#] Rv> K1#ZP^P0Q6,pE8ħ+lnhFE<}Ccwp4~0.αY}'zyrV"_VZ#|PFa0-Zm鑡>01GGCĄiM92D8ѰC'0w/,> +/`N?+^KR:٢)>lu"]SΡy xQlAKq-Q.n(8<Zm1B}C; Ej*}@OnܗV/H~\ya8{'~9l.nU)d w-*aR~\jրmE[ӳ{pxuēMT`^D,; uHz,F&*d}t4-~!#<FU0#%]@(DFäðq` /rM2'jaߝsZts$+ 4.ӴN^lْ/}o1nPC6^Ȧ(Z6EMEn> LG"_4:$ _zF_z>@NWY $nODn"zDlB,*GdShqxB?<F&ؼxŠN\vnXۑ@ȶɺͰve<,堾`ڟ/R[l;*Ð=̬شnum]ozOsz_l ]:*]WQ{jռ[C/by2:*" صg/ޣqKF"z˒G6~Mt'zz03<xk 2.ai tv ۯ/(d.kYDEqĴE cA:F/S|}8p,>*G \O̯e EлrC:g4vC=i~餑Ǎ>78X\|?xy=Oz ;K۸g  Nlܿ$acF]=qEi"i9';Wt2qjNua4 Nχ~vB-fp>}޺pL(HN$a0/  ]XгNѭ0#9?%#zڜGM;y57; m{޴/xIHS8ߙ,43,L`NpF%o޺?Vʫfh@g+/E|HDVז×_)잀0Hl0zle G7 𐽸Z*NXPqZJĎş^\ SKsavq6̮ny11$$sL;H#O4HHu4m(9 6qIJf$DcXD@qae:>nωji5H3ba`j )Q#`[آzkk:]ۓp]Ү#0Q) #F2&m:h& *c+m]^9=ܵ癇X B!# A,A0oS vP!* <bb 9S7eY;Zp8?~-|AF.[Xhon;v]{pM^ Z{56^a$i LN_˸`w7RX( OGF 7ۢH|1 wP#Zq\$t?s EP7Y5<WҒq-L}KypDe  MGS'碞߉N- q_@ߜR;أ (j7:Z_=#j@?6 } 8h-h< v]YŏW[/ai{[ 204 hbJHhhހS1}9C Jő w0'A?Nztp']VcAF/F7fW+"#7 B|O p(y%o|AE:0*;9 1o}6‹o~+[ vؗ)8DD%ɇGۮ$F+}-mnXchIt,=@zs@7[SE9ⶣ L[1hlRb۩q=+,Dc2 6^|0#Z=L])~`4HB+G?U.$ÄlKo`^bWu)?@6t pw̲mp" s].$َآR>yXёJAܙ@i*%Q+mŰ{V/X KǓ ; D™8 8x2- 떰P{GS_w=~Jo?車 ύ.GOwZ/st/x4*W( .7u?!#GF|qZ˨_u_^] k;'1Q{n7Ĉ_983—&^GǬ5@9!fY@ v?G7s`X}Rtn֨0un&gNx86-G者ЪK:imMSCˡN{p|wx;ou#̦+_ߎyG$^~x,I~XX?.v mh Q?C@}{ѡfXZ˻{aF2`T2}X<S 8 >7@þ8_N Ya!bO_X] ˽fS?*]=鳖.=u~*{Rv*HoϹO)p>࿳G 4,ߔ"p33awQ+7 HǸwd Lݰn _zM X0Ab:d8@% %db$oR8|sfa`m [ͭ0^a`ፀ1EQ0`L HiFuN1 s?:8 PU0|g2.4^_20054HZ Sֱx萂5W~%M8EEJ蒒ˬHql ĩ6J?y3ܻsܿ<8X4@mBa5ַ޸PR! sd;yH/geޙލE8Y.Gc&:3HsguB G*=: N?,;Q!qCn%=E38FÈgHbʁwj(}C0eQGCBm.mG~ڻ}p^z][ww0|~`(|5GBCsТѤ *őJ8C}Hm T NU) 6*7.X`՜?/~@<Q)QԞމ\zBvtZP;wِ>طN<<VV%ȈkSC@% [8{8p\_o mi8g)O!2n01? }cr&N̅^u=SuGN+ꃌ: p~`V|u'?8~Jx_ ^-,P8%q(!w^2b1uN" d̜ER}1Ehظdʛ\Եy)ni. x7}hҠNh21VSE 4 4J\ceitLF'NէSCg.8RQ0,^Xmͽw$%S׎/ ~?wQH n/L]_3NFKNn?=aua}Cx>{@߭YB42Šq.0d9 hRU #˒28}$du8|a*YI;pź ;p|<G}_=]Ѽ@'_?/:巵fwx& #Sara={lBF'gA`Q96BMuUU۫)08/Qpow}?[aiHF "pMH/OxuXeKv>Ү(Ϲ4DDAzx5l aQ"Зcs'G@)m4#/6-DԥDz9z7SDk}v8JWcp{.ŸٿCcb#sf#e G='ӧWeυ[᷿aQ[ Jt<@k7MN @:Y!Y44[0\힓={]: 9 gG+XNhMc@Ӝ? ,ʃ Ar9wK7PAjXrnyK._Mt'3SaKhX_[ {{{aa~5 t\EcxiN/KBWN8n=2gGKo;C}0 HHY@_uw@}MDz/''B2Dx ٲ(gZJGb)1oK#m*k})xv<O*k4YxˌG/6oc(>/9u|}`qPnH `h㸈|UCǍ-y!oqL.ab`)a V FmDbhQʥZx]RXXl&E PN3ݠmdQA31_] ? <=2`8b!,TҢC'F(D S )lelqDC *A o;:6lG尰旗°e*Y  @JΈqsmP}Lq8}V^x(ܿ}80`{z^B;( (F:D RBh " 0B/!1:r~NJa|GŜc<e7rxx "އv،63*~_txhѾ8bK`D"jC8bO<,U‚m+ S;*ԇ#( 3'~`_ŭ0,}mf-<xamkI@ʵ/#c1q’+Xpf[PNX=2k<{#?eRbo;hآg%_|OF!i a s+{x,n`^˻G'&a {[/H+hWbm-1tfNG>#E.,F30u#m 2z zO]2].qdrVa7,m)S&p ,8$Hqټ2 ce}m[fq^X0~v$GKy8ǢLGZ6C%N(`As3( R(`$GA܆Ү\1Rנ4 e~ Rv' ' 9tk]Ii87~x%-gQ{ _n++΂hh~h{F3k fdw"_xNz) K߲š̟M/G1,mɠrC;ahXt)Z<|7=$#|Thpfc" HdkXT2_׍^O݅vtխ@VvŷR(NN9S)b[炦unIG3\tnJm+ \8a֑8 ض)y;8%z~^էwf(z [a~z]֥#3:$Wĝ@޳hj1:hB-F:+͂kanNXn w>6έٺE ކӁUC[7#|quA3gy/ ],gYbZv=2!:X=,ވ\d0ܜ302/pxt4[NFFC? Vy <h(2EFz, 8!~t58FWo/{_[oZVԿԟ7 wAwm]a{;J88< V_-:`aTO܊:>utԂNd]0tA3H14ыVӭ"06<agvbJF:ot_\Kvzͯ 1=vÑcFcG/p2 %vHfZFQ+6h;86Ve^&SKaRpG~D6sk ^b+a҆)ۏͰ+{ð}VX.*~rUrg v:lş9~?}zR7nҹg??eBwhY2mF]6=0| 7Vu}&MKi?YȢ74a-]//~7,ߔ/BD-A`F~Z Ƿ0 i(F cd9GRL"`%8J#!3#D}PG Q&}`~S̮0fV7L1Zt?<oq~?clSG40#'AT c8A1 dcPހ-'J3^ 3+axzɶ[Y_ C,>6hȸfBnuKh^PgO!+bj .i1[<O{^e0QV;qЁc 1L" )!F)31DzE`a@J Q1d #Q)m"$DAA( 1& cC#>0x!nnG݋q7e9=n1Q|è41,6CGB7NR 8(V€{WX΅M)darN_&$1qF6↫k᭯|-՗," x+)HcK_6EeK Qptсa@D OG$"8 q)37m* yQ!f_0F} QBjH# 966%dH#8'9Gahơ\c!öN9b`Au]ؿFgh$޻l06B3R 1#3B@1ֻcHt¤EO[JIlMn_Meҡ{__F JA.ť IZc< 6|xTdpE7Wo:->'v3\\ zX'gAo2sg\[f7x=LWEW[are5Wao1((v*=k>|Wzq`[GFn?GHs1"ert^2OX(ƑdܺCRs*os#r&!b(%)[^s }cGΎӆ1'[{.`v {mqsd8 'gCh[rGyAb=瑆DA1+#~'#n!=F8ضwz Ls1 #v$CyKcIBѼp^.8P.wn)IDATlŌ߸nςI uwS&(#Q) )Ә+P/MZݿ+S?+L9mqͺd0q?L&wZv~#l WE#Q6"[>QC_ѫ?590#Qr S pXD>_x>̶7-By nANutck[!M3ۡu7(>ے4 B gI JX;!7t[t+adn6 u$blF:e{}Fyv'?FHw[gip'D<u-z)[Px;ҽ +RO|gvt3PPwfp ۄ/:n$|/$^+o_nba# ሰ^dUx= O+(td-1Rw pD#@2Gd0L/07zW68`qt"z3-$fk0W40YV"*Ka,`#yd]B9ʄceq>0ePXa沅olo}QSp28 A߉@u a3P]m۠kEFhJ)8h LY$1  ܎&Pr8X0VlfN~ x/p+.QPq$ gA 2J. G& xN~7N~ "":M*d#8/QLM]tL>JC7=I GCQW;^Z\ +a鐽-`rNXFE ⒄|x/}Yڍ&P}[ܱ4c Xh1݈рQ4CC0!APx; Ak'N<BFCn pcStNa[`PUNTCRg征 •sCਔ<SpBc]/p ?wF=s <o hK8j/L,$qQ*PѠs Zue>),>zlݻC>_o~wed/w$ex"Wo{aZ4>¸o#"Cs8 l:TN&t΂x.e_< y/udnt5TQm: 93`? 0EsݟIOn@u|У6^tEZCIτ}a`?\ 54&eV0)H.q-5׻'ǝ b@Szvk\}8 pJ͙SWt$@vu ᎇ:աLVd]ypbNb΃35Tw;ڕUGEȿpQ~煷l{:l!$}inɿ[{ajEڶts",o,(=(|l.M/7_R9IֽSNncX1):5 n0^?:/Wxli_ <GzUx;)y]qp,p  ]:>3p#DX<xgIGmd#+{mjIvJؼy[<p*tٕpx(m=12R|n{ǟsO^7>N<8?o3JG:'{(,!wfg5F0zw6CG~~z/~{ߔ`&6 `e4ay{7Nxb}.QsAD#QYD\`|9 !q@ W rP|kՉ0"汭{C -!!z1 Շo2qO 1 (a'F_S,c_BCG<7ʄwH0A./坅 {> A.C`i}3L·ީn ǻP_K<R $met)!攀ad3c:i9(d !*u#CKF ( :GAqPPs DU  P:bMR1.`wc] yBX8Fs^cǘ7^_:)`sDGs1`fR< W@ Ct%ψ-dHMBr|;,< ^jQw_x x^`[ n*9t}ta1޺Fغq',0e>Rw%D=l؝(=20&uzUJڊn qCG@jC$~V4thWʏB=3S -(tG$}7݇{t,\3,o};.+=R-6@*[4Q8,`"810p'?ƽ#5=s6  zcBt4Ϩ଍`2zy _iW0"yՖYc GW˨}-dPrрhp畯ȜdĔx_߄{ꦭ5Adҍ0-a|f\n,-[Fعyv!b7Y/p@FK >P{w {w2DYFE8 ,`e7Ȩa~C{ A$&hߝ~i/,zA8hmjMa?>:L,hF_A7&E!4(; 9']#$ s &Cd6[^ d& hJQ^Gek1)c@G]xN>pnht,,R4 2P/-V~-Y Vpڗ7̨O[,rzE&w^ Sètѩ01v%o`[ƩAQr'?2sc LөuLƴ; :^OtЧ>:$6:+ڢ7p8>F2&Fw2n n0w|NwsCލ]@> {a`BϽ WzBWh"޼~/\ǐEt.mٟx:eaS:SDݶi̓ex42:2)p>3; <ܟ| :=d_N< k,XQ~Zq[po?ݾ p`tn1 VuQ0bb],ThLEsc+wԾ`ec.,͇Eza `n9ٴs[@D~~ DAP4#80*zd~0BDDĈ=qb6q*59.Qh2&Y? pm-̎Ӌfx/] xW ǒ6㽎P`!285T[D'A 9 B FA<.## q^28 'dcAJwyzxwF|T2!¨Lj9 瀎 p`FHY0ɨP`z !C;r]dž"1E#1Fgёun #mY *)̌ hW}%,m]cl{3<y])320vDq1!>0&dPK8m8 SEF9<c0 FT8$P j`\1R˨ ,hlQe1a{Kz/hHѐOy|7N(m8^;kfAD;WcMn ۡR.^!/=#[@kz7*G8rmC9s^G-/>Q)pp 69zG 팅A@:=8<m/ hEe P)K(%O[*Ҫ{r|vZZW' s\}NtBsw{0' Y0 ImťpѣvPXa~QpN׳{mM@OɦváۜLL*[fN" gz&wz?8^+:8FCq,8xO#G¬ccq!p"Rg<wG< ѣpqߊ蝅Řo>ߛ4ZWe ?z9$3/] G? pڐp" SM"3[%#bTSѝ$-@ymp&'8CeA`:y5 tSŁIQ#4=&C:G0~h;~ hsT$}~-,`}+ѮNj{tC[a`r6ɟ;oHc-V k”{ᵰw^Z/Ao㸆r0 4N<5tA 5n3@4Dt޻dVG͈tEӹy gz%6Gtz9Ʋ^խsG3 wӽ.MM4Sc 3sy`<<|0&ffǕpZw?aχWxĮH#4">ڞ>ٟtN=γxC{\/M;p_u~~ ; Y@Be5򄹵ð3,!jxo A)0Bz;j6)n:!WGl/:YC(F!OǺ&1!5{S{$ >l^W%L)eg:7HΏJa5$s ':_$Hqu(Q4b΁- h<xq|X郌 3(qs jv<(o+TldGu&2\m;ato6̊<y-\H*'&03$##֚@ !D# A0 0݀k/:"~@uh. .v09z aT.]#/#!( 12q6eSAр4n< W#o:7pHdqn|Kgt΂K 蝦 }`KaPs4 ʳ6Z,3`oBzax}Y~=!a(C7~o]Y3-dwRA(7nd +δzף! >@Z46<q])6]2^ջ7EV~wwa<-; y^w*PuCa~N?HbL(Qqx=^ Dwu7hɉ?1<~)̬ntrwЏuP! B?M@QGF1q ϖ Y+ EAt I}h^׌?;^Q8$@46T F2H"fDt: $,/~:DQ t䱎Qԡ8-%)e[4#Y1ɟA~;,]oAԶx^R[~ppmڦ(kD?46µ[9!Eܝ ~(DnQhߜs+aa)j pm( <݁#a7zzՉ`2 }|ER ͘to^$] .Kt ͆k=c/~)L-.6jcFs;.vHΑ2 D/8@6'+юq0CKuH$(Ή`sנfо@]=U)t)1.M,9 N,0BC P <2HA;,!1SSi:ȸf0魛G"3:gZW045~Iw{z/2E71{hi޽ _ 㳡o|.tI'bLdkJ=t̮}>u׍B7A@u.Wth"j[I>N SYg]=M`rߏH^ 4-uh=CaCSQ RC65li_kȳy08=oٹ0>=GÃ_3]/v^? E8ʤI|ߍ~-upwó|~mgO> wpW|#2v8> Hi?Yǘ#b1:*":@ƞ9+oo;/?2c9ϑv0s=Lh+u3DAhbK}NJ [!w4+;X@D 4q8(DqQ5~TXX S_6ώ_ ! H$[8-إbQ:J96BUiL/q)}IY`@TY guP/)1V{YI(x"]ga>] w K1`fu3H 0o#T />C /=dXwD-:SuGˉ"k hqSz 0S-lʅչ9 t4QF#QI1 !xOsDx@T90ؚM`6p e0pN?:,0c((O0esU>8+`2P/aJqeRW٢Pʺ55Fz$f\XX _Ÿ_y[m4Eyan \(lYhmyK #2* U40rSnPPxHnX@hD# Kxȳm3/Xc:Y'ݪ=+~:ܰѾ4=uTH 7(F79wá_vB 6aN@` ?uR?}Ef@JW_ ó3ahz*; wΡq : %]tyu$a DVF~8BWz杷`W{.GI<7t(d00D#a4-ZCzTp3b$5* v}(e,풬1'8#rSau{-7~gct3%9+|w[aas_Ւ2|я1!Ys$tw8C#pSq/SV ǝ?u2xG(xTBJl #δ"oY Gw[o.O JG._{Q4"8n O? ɸ]Ht;'F~iNzsߩ§D演Vi#t_; رaP5ؤzy>%"tStߩ1^ofh_|8e) Vt utP-^sG%).H+pyuLWu=˔#[kAiJG`͝𥯾/wm@ݰ~-^onv[5Dm]^VYr wE?Fajt:,@ss߭oܶGl\g+ÍN(O멡J>OH[mQtF)g{rlr^5l9~Eω_\cݒ=:^~086F&&Mp{(\?ˤsy;G~\砬wuq:P uҽg)p>3; 01 Ȝ Zy֞[/G / G [Rֶn={aȶa:[2l}߽٘ :d09<0gYqѶ"R' 8 kSac-UP~@0@ah ڑ41 =9 }ų  F !2#4?Žqtkx<DJG;9/ A\]J݇ j<;".Xhm!!h[Bg5/Cަ L*-G'@Տv@Y P; tMJ6AQ+`yoJУ{}] 1W&qMfq'P*)8 8hsx@>JAΐ< (EDA4BMc": CcMBbr0yK@i g4n6ƂGw94&[4ë￧G{Q&Ew(af^z7lSɞgb*ĵHlW/ vDC]]y:#eĝE3p` -JW?b79vn13J!O)v{6Hc,qj?߆o7C9l}   L{bT ѻEߙ2=z"կ.ɠ[[;Rg`X۵EXQ G)ν=wDchSF{tGs)ݕ Oit 6 ϗxHC M'ZoZch_tM)_k*Cܝ8]l:ˀ& y=(r|<G .~7|&9hl釼B#1.18fFxO_`xG .b?-#zj; dh6,lpafA., tfNFhQ^ʦ/_t{'f{6z` hE q "Fՙ Z^ hFDqG|qӾӬ=0B9 0'$HT84$ʧ.gKëDGfWDR'w-h{l* ͪ/ BסO@60`r@0@u|w,twJ,T]}58@8Jփ"P=k8paSҵNs0g/=]@Hy?b>N80$^ FWpITUhwHu3;F%ϑs8ݶd<.IN,/?Go)ZS]I>;nKLc:_ zK[aݰtp'<~'lyh1v#iD-@rCԍK,gY :[vJ 7ɾYHhtk[QJtss024]\)02(s7}t _Ge|[ +{7Bp^X7ݵ:,9 a*^7耈p 6zI<"-}㺿gƝ^'GwP&rݟt?uTyNy^~:xYi;,`=FЎ8+;R_ (c<[email protected]ƗwŒX o;6a+! t})3,x€B⏀PrP'oI҃#!c 5ItII kMd ?*8+:gThsy1J *1C)"z ؈N"_14r)*),RA 9  “ѠHDۢdz0&ŁV R_*AlK24PX!q1H,0,B@etI5'PtJ@s&؁mjFH^)4*E2G#ɧg y#pTt KQ )0Dc(coy#e5.6-IeJqPG MCp#Sc RbF5 P-ZDxwM2R?vػ}S'A&`) b0Vb]^/[D13&o2<\#tD|HCѽeڷ&1fb_A1&wG @eضXkw0<w Eq+ :G@H:$ F4G06Is80Ń'WRdOox7B@v90f;Qξb$z4G|t`WrmgRi)p;8i΂݇; 4w.8kP8 C-3/yAtS>0ڿ azn2|׿]I.ljєM|sLe9 ?x;|F10 QScLlޱs w"Ti[email protected]-D]g2LohN@ 8 DO`z}t_FÔtd9BތHQJ~s6-ܢ0%<./<wɩ0(>14.gEjMtJ'Ց8uX 0> h*c;Lj@EY,spbuEd%`N 8aQ83; |d9 t2 $hwN>kXw.H.6G޽{aX\] ֯? ;nHlwʈ\:X]0`62F=JذIwnڈ}1u*z:F$1ߣ#۫ IVZOw {Gahgxt#ɟN<7N\Α1P.dצepc6 Y/5_-#:;]enҍnx'wp0t9ѓBBijM}ƎQ{h傪i`Bƾ9t?:ߜ#ysH|z\|Oxii>/ Z]:yHi?=@–xyQm-) [afy5 _ 7ܵQ;}Xb. {+ĦVnXU|C< n)gV*BX9@>QLϜQBEY>]#,j|! M =[E :֣R`J? ?9샠GQVV9 ֮ 1;:wqeݏ#a _#J)1: ^.b0z#>; Ju$$$}bq1̭蟘 v*8P^J/F3#q1@Wp1n %gm!Z%Njع 1-ap&P.Ft6u F@c[53RLwHЃN F9m I@]yGmR"GD' QP"H||fPs2蟗"t,/<bI^L (!8`jei2:Tוa4< PaѲhpa=<oÿvq%¥#RƖ=֜Y aPWbO3 (Q9Bs[cH;\vA9<àV`2#hs8 Py8 ȯokb2*+#GA$Ƃ?i\ØwQ9pG@g鍃0 ]"}_fBGgLKREexziC&t=2HgZh¯G\u@+U)Waӝ 8ElA4G(q1fA3͍{[Ux_CZoi;hDtbF݌Hðux' ;~?\s[2wEn_)È % sF;G*a\ و78Fs WAN*<9‹GNŝ0vaB<'A7u0_El vlIޤ; 4G 9gCn\^dQ@huR ֝;+{an ,}pݰu0ڰh~p<@/2&m??asGڗRG(Nd}t"4r7K9e7-A]jcvtpt*DLh8'pݢX5 LCNG:>?1͏1^VZY_G}7D+Y-ƚ#N;͛/}aF_ 뇡G4ݳvn> {gŽ[aC |m2h) 8qBx 7݈uG9]j{ˢ֮1%U aj}Oz{3\1pA݉^A|_5]^gPR6G'lK=\rpc5Š,gYػ#} \_*[nOqxE@yfyiu͑###xgmS$-ןmw']>(^s})<ef[{?Ǵ L< ,0AD=,y|l1?voUwt{ۯlsFVtzZq70v$fE+µ~ ԇq/VN LI Tu4µ#L39Lv%` 9X_ Saj^ 2ʆMw%;qR\+@c{Ébt@Tpp ұkR A]Gx Ǡ #(":BUewYy!b_eG<z,X KaykKy{zW#Cꐄ!3CߋUG (Z(6h `F!ld@t( c`,΄+#ӆȌHe) pyh2\bQ"À+v+Ӡ{|NuE]@8~ C : 87eΧЄrA` ݝKDЗWbKw1^8"KnwXX۔/Nc+Lّrq-P৶W'ln+6?'z_2@GWoXKY8ѩ>֑ 7Mx{CAc1U16nZFTCp@k?za BC:.VBj#1 Q_"up;b@tx0pgA~ڝ>n8xg&B]aaPƒJC  l ;RFFk]aqr=[ )`u|20# ƍE81𼩑Q0kpY|Oĩ,Qp8Z%BqNG{jܧ}3k|CZ#<>*([w zk2ۯ/M8~@yW°Љ"ᘛ[@\qG7{%ˈt ~X*rn$rF8% "@&-Sqzqȇ^uÿ w¹Ӡ5ws0>_!>gJW$:F?t!}CwE92]ȧ \41/>>0:.tvwA=d?N7w̹`3Fq'8|ACqu';@掋V;DK,MLGi5U,}U/[-^/E;$tQ!Nj5AH);ݓz)ß:b["}{~‘)%+hxb^WNZt7_ =S,XǡwUX.}Sf\ۿvn? hst qLr@C!nad#fxͮ.@?yUHb7T(MÍst|1v{~[ޢl0yN9;:׸0{LzN_n  KaxRq9\s+\7,zS뫫`:x{FFIYy~:^G3JCi=uHUۗ֙Ӳ=_k7LkZVJ) " (߮՞0!b?&6?2*^z ?p՗0{/ 24FLPWj8uh;آ" G⨾: ,FݥtG|!\$$-2@G[Wט2` Ί A8S"i0HpgED%)7ǰqQB&q+@noz&;6i`FƺADX/[hlXX6=.a-/|@ ͋a'Dqlԇh$MQ`aF{P&"∥EZ#?* D~<8"Xcu# 2#9dp(B03 ~/d"iN=SPp ՖsQєxR>ݨoᅶf$7oV1p|k7'?^~AץI {ky΢mʌ0N,oGFe_靰0e"|~5F*Q7PM:ک͹O pq+Ŧ@2#g|B'%3x|HSOI꽠pT ]pq#5eFcΛ.>Å=26my񏱙H甇'BpA$(n O!e)mSDcqQ\4l"( ܐh4;U9 _蟮|ut;6.n);aa~S~= i]H_Z ^{'ͫτ)8)`9 !N@Oi :sz"}[cD} k2 DsabMKF B 2# hpgItUʲ֡sӻ;H9GjC@eD{5A}l KvHLVE̬E.Dra2\p#iM[>OshJ4xEQ'~MsT( 3 E8!C# ɦ"O; 6Ž8~(i2ql^ ~F[dA,XWD(|R߾FXxA;/=sʧ~Km~aѹ_l ~Y|gETUt]#ޣ 8F9bPbp!\ctڧ 5 zµbyh`a5̬o1lxuz'UDb170hD'mK 8O{HO}={>kn3qg51R}5UH9^ßs/߻ׁ)o_.9ƹ'歃穢./"[خ8>ϓzi~ex9u]\w9ڝ~ ;l X3aFXέۿ^y:l N0'}nu-ܽw m3l`sA>Bvr0'?й:vt x(>I?[M·wEШ//iH@vOI : $(IQI PA bY8 J #@75$Xxh!sae en|"I (B=GgCD,ĭRЯV' (i8 TgRR' <3 voL) XgpYFEI Xf4FtDrlt3 # A$R`6<' :(Cpi KCR>~?7 EG `$lB,Y`ws_ $T ` &]WÍ7kaxt 6ڗ3> A<b`fǿC(1yzW򭯋ܨƁпY}^<ߍqFmAB7! )caHC!GIF 2X0t*GS\:2UJG)ȇsV;ÙhN{rQ'^e1{ãĒ|s")Wip1*FBHHST$qr20\&E >E%X>Ps;t jԓCeE"h=@~)F_i^|7L˘n]+ɂ9"D,`Ma} o7{G1^?yiDžE8?Hihsx"&eHvN8o "πsKS>8B曎_w IL# 9}(G:58zzGzWl*28(mnu krJg{ 5g!@FOw:L7yMW:s"XE? / NHFNHJ&N繁q;HAѫ-<8zZ )w<';$f^O Ux׹hkh"G9}3* \ WDww7c:Ý|?lnNMs"d'0Ȃz VV8>hVQ\'3QE#4 ݮ!+Q~f6tܹ0~3:=8Hn˪Bʢn G) za{nAg{:GyHwCGF8g '5c{ͬES3l$ܸ}#ቡ0(y?1nSƺij{VLJn{ͺdyxOwTE~ϛ^Hw;!?ksz~?I9z/sy}2sg)p>3; ։Wf€'L`c{7LI(͆w+ (D F8N2XaV*G ( :udӈ9 ,3j! W:Bԕ3 { l00bFVI֑|瞘f Q9G8y:}YWW>Fm]g) x cBP%x<ʦ8bO;a t7e yYА) Tyc057V`0X0uqPޅ 8%pNDE@e 쁄9 ';9PETDGWP:QD"50C gY` N)muDʔ&0Ps8 $svD{Ty GGma9~0<l8 mʆ 1ڄ"GDK{ ,<*%Q0%u5K7/x$pX,Ht1= RQܧ 9*co޴cj-x4q0#7ٕ0</:/*Kmr_=YLj@\ )i Rq86Z t&<>Jz\ث SE7C,`65orpL542Un/F AMF#5.1PSFA Օ^qoa%ѸMI1l( R/ Xa|Xs=qyAM"y/~4  ZuFU`$jii/.aX\:  7D2Ν0#9xQx$3$fC;߮qёd9[p&JeuFغq7/mo9E` ed:SDdN iN7RhyGXԁL}fl"tO bK~ (6=5hfw^j<fyu&AbN1Fgyw8-3NhĪ 5qD8}/ љipM|_z蒌?hI)w4ϛ_),yӱzBI@:8pA8 8^ (:Ĵy ='ȰB߼)΂PpgaӰoG?)J86RGxPG3q]SfKI\w+77_9-o셫20;e'0# NC+#۲)dP˧"(},[%zٶ\ÉFnpFXjt9 zZLC0gx ra(C70wF^ưdϋ1usyh9YHèwVp9/m[ Krb"L,dž~zsL't9o{G:};K>څV._~RpzO]>^0S˒J ͝~59r<M#/࿃r{=uMHZ:u?3ͯS8ߙ209X%Qdpec3Lo%) ko +YE?0cF𙂰–: B(8 p=΂+=wCZBPqP)9JF!n6'0 g^k= D.rcDahBP z$^|)Ywma0` sⳠT`PFxCmbCm4A!؏,Xߗq'alf6LH(# >ʣl ^1(/an΁c> M#_Ӑ#Quz.gA\sg Z[_ak7ʸ %9~sD<nJ \7?ץtc$0z7L7?輸/:b8lo} sETC<!#%D8hQ`y' ڗ[>ݱɶ 4w }Hixݗ70Ӣy h_[َszy)ݿms\T M;!tY2KP0/f+Mh#ۜ6*!M#2L/ OFp! 3(O|FfE?<;w nUՋ0 "A>퇶tC e(#< i[آ5HGS:ā%%ydz!-g8#VaCz?8|:iоI#Dzo)Ks ~FDIїsj̻]$g!H>tAq#)дѷTH *Z/<1 6#Mx>SПh5 yK 7zME`HT AH EfE,J/b܋D^7.w^ orǿاq$]Pfq!)v90?կ. LsQ^cd G+G:|Na F "}Žw K~̢8AE /=uhO_4MsE{SG5<T!!P,tL\0#*D/jF۪YCbz&†=2m@C tpjw⧎!ȗ\5҅O>5mw#r 5Dk6 zƌN폋ΐQ |hZ!k lңaA^ Λ F":*4^)h31_ޣǡJx᛿02;OuAc2"YԻKz8S&W/%{"=RcXct^iu vs7Pk\:5;tωd4Jo s1Ɇ'FGy=fpؑyn̵m򀿇*DgvMM%pؿwFG´t}?+x -P*c^zҮ/{٬K <}{^wv!v7 }7P'q5<uOwCөZm&?6L!~}6, ~Fg32>ȴل~ ߩ΂gYQBvddddddddddddddd%dgAFFFFFFFFFFFFFFF YQBvddddddddddddddd%dgAFFFFFFFFFFFFFFF OYw?/] <[OkuxojSw-ӂɋvjhВ}FY/]5?z߼r uEPW?<{?i55PWɨE{ 4SY)9K[+!'2޿2ퟅ'4B'xLg)33M+Yh8 @KA{;L2(:EgtO%3ӇVK!?ķ$)FxY >DxO'J°Fi4? ^o? zՕf4) {~dEiYgO}G+zY[iYS} +iD>O,(wkw{dt-2>ijd|8AX9M}aUǾ:~s"C}=e^жU,:~Jmr4e ipܮ֓fYRƧOп2<;iS=ѠQ9V3?hؿg oӓ|̺N=L4bqѡcgj):gny?ޑrO"QDBTҼMv:ZMue&+5R JeeyO9 FlsU>YLJu @ Ym([_BV|F,g<Q.~aZNpem/!־oWA4Mvo>R;iS{g~'g|*ii)3M.XL&>?Lv.pҳ֠ikidgeFT3*x'lS_i* ^.eV'b*i2UvѴޟ➴L=5暈 NzE@"ڮ'y*JmhEJk"ORV}>3ShԼϓo@K߸ڣ}Hcۤu7Nژڿ{ }UZ92ֶV~_eyVܘľ)A7}h?E1~zv_nK83?hdo<ɻIUʼ}iSsR'\q^5;p?vJJeʫ\ܞkWFk*NoPb>UPE} XLٮv5Qzj[|wPnu+g+ISzO頖?/Q|3+oby[hqo]{:_Be#{;+CQn]%VqC _yG jN/5$.-3AM_ʴ ~wSj]+(;3]dAEiu׫]&~S8j vvTGkLJyjA: O{ו>q;Ckp*frޛ?~%hNCKIh]0F<i*$Vo{w,蝹u'{mMY懲SƧ8K,~羽FǭOlS gW뮝?=L> jOj˫tR]߈];NagjG,m:0?W)OͳY=-ò[yG؆qvjRi95elxQϧ~DQ,-Dľ(]oSEG[qR0|{n/Pyֶ|i|O ʩ;CR*8{=o>vگ'}'i^ٞ5]~L>Q0Dx 4YGkQ*RZVUO qR uW 5Ok/^ij0p'mVԗenaJMs/^]?SBfjWBB[8:'RFͻ[WGxZ miyg}ueطI꭭d|*P?ퟡ}i 2Q+NzOu[iDwr})~K6MrJ<ʴ8 8-D;AZjZP BJ:p)LZ^q?eVl'Lmh/] ӊ{<i;6T묫e_'_j.)R_b%fQ7*TYjkU)*؏V<sڎj?}gxg)|o"4oM_<|-ԟky;*ڠ_hy'Yi{ߢs{%gMLgwvh}ϭ$}hL6Ц?d?SYKh7X@[4BgOY;n$j_!𖴆qݒV){p;Jel۪M 5QNK맖n{C-N<]5=gi.jKubRg݀gQ'<iJyT^։gxg -:œ H'_y>q=K[]lu4YV*Ymo-ݟrP6umPj^oIƧ+޿>ڶIfL)~g_Oz6ZK \ e<egS=9NbNO 3 $$~"#gLMdxftDVJǪe,tdgE|%ǀyLOg|wx֑i?#㳉L>1|'Av|HdgSGKhZv|oA!~Fg32>|j?dgAFFFFFFFFFFFFFFF YQBvddddddddddddddd%dgAFFFFFFFFFFFFFFF YQBvddddddddddddddd%dgAFFFFFFFFFFFFFFF YQBvddddddddddddddd%dgAFFFFFFFFFFFFFFF YQGtǗ¥KAi}m@oꮝ u?^{gˋGw't\_*/Gyg8<}O??>}8I?y }FX^{miA ?|'geddddd|D<gAHyó,.$yۚدwMOgagnjGYiEv|D%Yf׍|WMqY |#C{xؐI|2S4*buHpQ#ۯGERPTqQ[r? 7#SI~k7JyZ 4 [zO,8aŲIu'5+Wʊm"ZVQf כ~䭾veDy7)/AA;)urI\}(Tʳ>^~w| mF'=y^J}zi{oyoyTa =V~}~TvPI4UTڮ3Kl-8{egwpʳQF>]4֚&ԾQE?[M$moJ?W];K(0wV_\vo'UtFFFFFg\dAE *jR0oP&J@S< ŢP +Z5 GU1IF׻? WcyK !VJKUR*JUgMU߫Z_[qվ!ʩ[Z,UXSXH~w#(+XP >3=<ޗ9j,h~\~3Sܓ2UK7坽? v=kmH7@Er?j;5{³/t2?vTFwk;]M+ CYN_ic˻n2vӾeQI}K_8 LAU90(L(+Ua_T~=BI(AZS,HnhFc<hu 8Tއ]9o]=OWJ\VTqm~bq h܎HE ֠YP6꣱7D@H&}?M3B}u_'W-SzgNz7TZ+xAjli yD3YLj;kgk'*~sMTE߽O|?e|R|3 '#####㳌O.P,/5.+Y5uW:Ŭu7^P΂vvgASg.U4EUl/X~6'DlQvj[ӢX.A<S_,+e4gh=M5 gå<ETK-OD>;h>wkzF9O],8[7?۝;JƀkOo(Q{wmյӞiIugZf6p__TNUh|gmV^mK]~{i"7ѬTfm-ϐ;0#####㳃OY`B= 6 HQSGr'U> gݓcY пcЬ~W߾VGjlvWcM+ibI'9 iABC[z*! |b΂so_oԵ‰?i~jLzN{maZի=!} u_6n]m- O:߭]jѓK]F6[Bz<?9-ڽsKp6dddddd| : b^OM 'sŰ22T@Z{MuZmJJѾvJYjhYHGqY,8OU=R}/~nY }7NWTFhκvW(zҁ`e7*Nv,?|NC(iFWiZNӗ7OF"ZwQ{uX1ݝ^o<-)l/ T냥*1wxw/@wluyU(C"Ro[-OcӮgddddd|V9 T2W*k(UT*"%2ţlEC0Ꟃ 5άR=U3mQ0fzrҶ>`8C_)I1ETnQFyR+}-[h3FhE;車 Y[הUg ΂qOOf/IOeҿZhKPg|/_Q R%h};K߫*8K{=U򞥎:)c72U7]O[3}v<QOW/qݻoB(w$|$_w?߭'8 :EwXnї neTP@UEalT?-G?Y ʌW 2T)]9w֬[z|RUl=K;eQQFzYo"hGl>Zꯥ[Y~]h3r['Le>R\/mX|KqJī>։'>k;K+Qy['*8f'U䫡(douE%e7ZQjw>vz|ڊ(_/whs֢!R{$XYC+|DgU ##΂$jQGAԁ!v)Gvdd|GOYnCKYtg1`#`d&kG3222222~^U4&$ Rd> ΂j8{v ױ?OxO,(!; 222222222222222J΂ ##############,(!; 222222222222222J΂ ##############,(DgAFFFFFFFFFFFFFFg,ȿ˿˿˿˿˿˿˿㗝WegA_______~Y/?+*DIENDB`
PNG  IHDR  ʮsRGBgAMA a pHYsttfxIDATx^דfו _3c46=cfSU%B{pwZkZkIA2H A2sosGXcnUߕgu9b d+dɋ \.p \./O.p \.p \_.Ȃ \.p \. .Ȃ \.p \. .Ȃ \.p \. .Ȃ \.p \. j@/p _2q!L\./'BYGmںeim¦emX~ӹeٝlز [\ڲ? +rm[ОՌZK<ybV?guftߪGjd*8|0JvPl;Vwo[.ӱiYྲt,gqY׭cъ6e7GyfaR6,唦uKi\5~qܫ_;u, Fy~ŷݪ]qh=pcuzySΟܰi~/9gv,,]2[}ߓEujY5vzٮW-KvrѮT,صyZfr*>[^Zvj([7JRɬU:koXD%[%|3QsoUj[7JJ;ǹ8JZ(ٯeR¾}.a[?= oƿ~ӶuᲶimW(.eh]U֯vw|bޮڮw^hI7(Wq#_۩Lw쏏 x9oTߧo;_D=~FP$iM+.+{5F,empv~ǿؗںmJWJGbU?ܚ'ip|&r*|uʒ+8=G~_}G^߾euYF=ضSHO ڮ]^f 3~ۼeZNSl>K8<BYqϬ=lB6[Na.a#o=l6Ǹm nm կYG )W6,Yj# \oYj3xL=G9[7v:vv$լ9W8U.Rh+IUmJZv%OؽIЮVd<\*_:t^#yf1[<kW~{$uEɴҙS\r]yW5tuwdS~ٿ wW]G3v|L9|zT#$]k {ķΓ,l~2E]l\D.+Ѳj]ۖ _ٗ_~iVұf%]V30mG +w<j6zb5CV=xpdCd.pgZ? >lHf-ruYv4:ƾ+~gwL#Ct6r){#cBlﹽ:K|>6<'[<hXqOK_D~!isp;-U[k6}=r {J]B˖Rђ]A Ec\kwKzxX5`͜fdhƮLi1Xv$s@ =u{QϿWX`xΐKl9-v$Dw߆DyOs _ zLZ{QA~^u5֯nGٖ'!I蓛svb}<m7$Ӿ_z@1߆׏ׯ8d~ifMQ'񥃿׃ m&g~篬axr[~pZ׬}'6j{MZzbuvU ooӍoϟK,;o޻eop?r1Fc[߮; U wcJ^9:cnӂo}yɒq) ɭZ޲ľeKi~ {yя}2of}CM1 }ŏIiys.*[uܒws2{ó9:9t\r21 ~>uo S'#e[`ۮSbWkPgwnـt։%eWb_)CS7;vF8G=TMɾ2]ge[]K!vblإװVjFxƿ~}%\JI>gHYѡ2'U΁vBEG/8nT 9W `qfmm mqsԡj&'|wWL8|bcٯ(G8?RWd?3YEpkӊh0(x/&p߶M[Yݶ/~j Vѷe;8;V3g5c(9{uY5D"TIyPN8)""'2\ɑ e? dm>q1 qUv.Z~x6 oZ9WD$<;r +(]B7 o@zNj@]>:GL,'ï9!" Psқý|$(0a(_ȽJu+ǃSVP?h+(E*M [lCzg:, r$p2cD|0S~vlx]玃w9*϶:zH7A#o¹|_TٮR?8 s_Nئeޡ_Ժ@H r4$81!AI lGIyLpHDhf5r/i[e?@r-byxܽKm{^Xeak[zojgl_Xym}ϭmjD`E#V d?_NB^GvEJ"G2NS8]"p0XY=WbpKq$?8 Gܻv^idn58]۲o1^HoT<(ˁԷwqT8ACu_B "D<QSL3SjӽIzתGP@)odfՆAp~紬nڝap|ƶ?hꫜ8o~"b@Ya^r@.?bZ" tee ~u=zNԈwt5^$hyw8NG}v;/IyPj#*þew!7yc-O9'`/-!1n3/`68hUj XxjOڧ7odJ%=;V @ sfC/H$k Yv-aۥ;ێjClXI2H|DȂpjpFHoI鄪'[m{8wuJ }8HKSOk]pzsL_#0Z٫t&(Ul}X.n)6C?Fɴ]E>i.oYYsJɲJUp!׹tΫl; :.sy8_w.!Q߼sJ!& < ,djpI;'TW7˦úە3ٺ ^G%x<ԃ΢T.[в({-@{jfljy~?oO-[Ekx:[Ȟ5Zc}|kXck{۪|tl#*_|5bunl~ut.ۯ"O\GA28}UeW۴n[~HC|v.T0@0nf>}NugIS|k])!țq׻|F:zpc"A)m>3qbkŤP@ DVS# Jn-9.!+fc{P>hKmbΫ\+fNzDɁ0سe`_$-tD=/)W h]d6f ǔ7-a#|7.Z' N(m*' A$& /TG+7jܨfǸVR$„׫_10~nPgDODN"p%ݡſ?}|w_V֭~xǪA6U<l`8" pDDc !$IKdž:w-B&FWFVY1݂6l q(d) 0rDA G]p2@ BB )Tvd(ȿx{H ,P2 DP-RxΟTA`H-^VP-{}V^aphnFd*N_[piz8oL>F 8Y!s#\_PpvJ<Sb[Ur#g!\}@LH6N R@*Ck!z "[ݱu^:@yԩu92JtRΆ!QIJ]NtQA-~%n2`[  EC[zU4 ?-Xmش"t@ F!K/u ɸֶ 8eɽZ۽G`imsȹrtE>wv&g90ܪG6]I D v^ Dp^۱hw) N -zMϺoE ^^&"&ܡo+0쭊IK}ʨIzϮTٍ3 eb߆ ɷ2 E.y.XE^8!Ő.<rCACؗBu|YDG!B=|$4sA7_qF頎\( w"qPcs9X "\u<󜋬=FYb*EZ+?a_}GmYȢgTM'Y]pe )s@Ego@6rEuo?19eZ%()[9KU!ܸgTn؍mtݪ5~fZ:[(B$ʠW^,)8N U_ci!{ArF,S_%85 pY,!e V:kUC~%WyfF+%v qUrɺˁ p 4{9D?3;Oc$Dk?qߵ211" i!"C9+ 6"5P-'"D<$`;L=V{d='C+=C h^Cw~:ߵ6ʆk_!{O{n{בu+ /B_!ʜFv ؓ ,8Qp[?@P;?l_-dJ P{vmH>G.bٚ =8oB~C\'!7k[v f픗 T=MȆ;:G }ݏȈB> <;7e3'ɕz=1lfɂ5,sm.f-/?[f]eOۭ>{PfOV~% 3v`LY3NI;vM@vmS!&  _ޮrڎuNy>^'+q_goCϗoΈ@z#9v?7*DOS):qge B2]T ADR>gD]7K=}E;j&8ȓqV&/`/U#[co _Yu?ضmāڳU{vrhk'unj[`AAZEx'Xv7J;KVmmWJ!7aD .@ OIIIq"vɀ$7QNjArGh3 P:N獳{][<N绁c t>/B ҝN(KvtJL!`U,p p7p,4,ྫ&D[`8g< v"BD" ݇qu "& | u ` ?8pD?8%lppk,h_'H3_=zV'& B <@yBbwSr'ADr=`6;߃p:0FP˵zOj;KN h6BBD=˾Z;ozbM*A YмM/o/_̒ n0l"sV:[Yà=Omlت:ss{g̡3?h߶]G8' Z? SW,iβRDoVoyuN C5ʽfܣMBNpmq@7J9zk'}J9v'ٽ8/&.EI5r/sZu=1Yo#$gWKU#_RKG? :-C6]ϩ);Pq䊺0,pb́\*XGt?D+Fpy;<& Tqp_"{93(V(HQYY,- 7{}sQTc`A+h 8OE(p/{@v?_߇M#0X^X?kӟlVl¡-ҡ]}b%lrUw/! DrujAb{o 6a _?Bk}\O@P?iM{Pku蚖%GGy\ry6T> X߅euSﷆ@([~$N<=Q$Upr '50x~_zjW8ROg{xݢx&ŎwUomj[,^Jg|G8͔ 7A芠e +l群$sȩr6'JA쟇 ^D5!]xݫ<Ca H-zK~cRPb"O)Q]^pqf ֩Kw7"V7 IGq<9=]+ڷ'V pp?ݴE[Z?ZCyf]{>kUu6?*6 ,w [ۅгC|M~@}{AHiQvoEf-@=^?~79:xύ3ھ0{[gG,+b t{|:ȂߨD'9uEA SoAnVcw+w1'18{nڮF&e^ J$QG fOzuCYok]F&Ԟ}c鮽b[mt_A]+Ue% ïknn@Lе5~W8~ [¶#I eR ^% N# *um[ 0y彇w/>!s8Q5J|ALj 1Je{0u>M'&rk0$C tJDz dANW"@ 7<@(5T-[]۵~K' p$6pvP6VJQݻl6Ċp:9XlVE jI ZNơxCp(ؿs$aw8roS>aݬ̺2wgg0`9!]@pܴ= R¨ ANRB3:GܗX +22rO+V)#crՏѾ H'XVmm~`]okDcxYq-/QVvEI q]??vp$XIS__CbPDpGc `^Z3EeA  Nzt-/zh½N&7b+@qxj2b}- ۘL%XAHwU+c.P⠦D=eoslNABu Pq:Vܳ>XkU`_mhzCnp֊TXIÈg{/VL0@5C@P }Mpd] UKQyp旑 ?Niu,el^Ze5 Y;D`!& x=qK[r9XV?cI灂F8iLA^bI}K[YC-yCffϬ#R1Lptk@zmge,KOHցjԚ(Vh@g7qg{σ@ĤM0A(L:_UpJ,~K}ɂDu=F"g̻K^y߹ش"8C nY``ŚU CSV?m;8UYA͠gso[YnIkw&.Q@Y-t*M$r@Ǚ8xθ[MP=jȳշy uۜw30b<ˋoR6a3DQ9o@ ى"'}2y ɳdߡ刄d_Agy%t[oPJXw{|;񣬢+8Wpx/gwٓmeاzKYu^?T/,( 2/Qg7d_r2uɽH p>dc:.qgI{Wѽz-~l )PWT@v2^o"[M[P{vȂc#CzZ^/B`:flf~?_}t ksBqtr lnݿnnIU}A?Av=_] ND"YJܪI˪[LΛs{Ku|w1&?SkYP檐QYJW˱ĝ3himPր:R7'!5UY֩+kѱKhp,;IDAhTI߲5f^_Y䕜._nCkGvQ]Y' uS׍cg: E\ "ے\@n3Ds}d& 1|WH'1yc9\2B|Ui,)ޝ)K>zճGx \i&Μ2@y׽:^I"b=}gG?|eT Zؾmڎ}/7M.oZWPڷM`Ǘ->@Bvf @#u1;%NmDI:)`?&n~K};4ZW@qp^$/[:,@"-8Ae?r4Hc=AIQS7 =)B?L`l~9 7pA?"$LڔnUF) K~B餁m(8<PGG8v1V㴸`ˇ1VJs؁Q)7CBSƃZd%4n8uLT^At@(`ZΒA1"jqpen;&!35C"%>k^=-\C vpbg ckǞ,A̶]"D(<28juRK G5",rD kY-]AU #V;ku{U+ZC׭z`׭sxf/Y_5+¾U+SwI_9ZI뜕!9pb {2:<8xԱB{r}ɩ:e( (%A`vAy(֑){1^]iw+t 9tȇ.AK.2#}g<$0:B48Y`AjeI{w]TC=Q+62%uBmqezv͖JpJÿҝ+5ɂ;8dSDYCXi}"g' ( SϜpy8o"_w=sG=7}'\'Qwx}ƁZ%b &b86Q e˔e\"+تBlr?z`kزU+سkܱ[Tf'Ma'*i&V"ٟmG@$arH^P4x(LIn%3i9~f_O[Vˬ7:`tt¦!!Av=yݖζvɷ; r=ux.=S& -qiߔ׷_[N7)&WàW|`o/}Zg++n[Nzi72ݖhk%3.^9qduVvy܇6<߷Ⱦh9Ƨupd| g2*lcqZֶWPwJ1dnUW˂weM, yy,JdJ|lpg XȞu/}gA}YWg-/޵ ز|lb Nޅ܆6) ] br@˩x]RC i9M" 35NY 2ٰhY"񍚑{ns=Twyδ=d{jǒ%wqA 7c/ftksSu[xu4( :|a kvHr1u[ʱ"kJW{ qK"wcdՒ:Oe7؃N\=(#ĻRVO@ם¸dpT=ODXLzYr]B^5;xGj/UYAu15@O=lc܏Hy 7$Ġ Е1C>n2OjeSG[i[ae҄10ɖH2}ZNDz dk|AP3バ)Я&hݳ}ޱ]CD-X;΂RJ9ǃԌm?23uEYJ?Vd9 aнr` ) *;(GV\%˨tgBDA@ h},D=8ޕ,P6ߠ0AXv)6jD 3il $"DȰ^(P- ߔد}Zq2{ 7H;R`w' 䬲||wX1e6?,H#k:d0r$m~mr/' xFKABvΠG-j)N+% .g;&8l= si99<R;Fh y_0u}k?~K뺆9 㝈H g}d΁CM{qD9J[{78yz%re_W"m+X57Z N-ں/筶oɪ֭xpъ;Vٹd}{ZnV%Ҡ3۶!ْ|IgH6+nYyq+Lus|ЁJ " \X6DaǸ=_$Yrw My8'V; u8!XY\ۮi^]o@/׬ٕj:$'Ou+ۃxPuٕj{dVXRV<c7*bbn,PJyO;'PKV myLgThd4eY?|O>StD"tAoq:&>i21P<}c񮮫%$fF$ctU+=d<gdJ"3=*̯1d 8Ob`ߪf&OoZؑՎ[u/֮/?zkj#Kmz6l:QX}`y={#ѾA(Y|/٧8Qxγy(M$jT@![n"N?ca8cYѸ~=w?"7V& ,صGEӳcYCE$H2d ~ " rOze}۟~M?*Hֻ^;]a`N^4%W=g=d`sQ;HTau -qA#we=p*&~[Cpd>sJn׃\:G%Y `'yWϒYsgR$ ή=/sC AA4; 1IQc"</ٵAd~~`ݴM}k;CX͍]?zwujͰ`zm[a< ?{`2)ҁ?q ږ쳂S(؈]?@b$h9 @$"mmF=R=su]F^,wR p W#(}U ּԶ0 !!fHi =9Oݻ' %]W}yHW1 fZ+(o!־%zY8G@b {ͫر\ľW.mrЏ-ӆVZvn$ލz|x3*4xaLl"-5ʟ_@BLV|qMF5&Zhޛc͡ ' BUqzAzrWP|5]k #$Vݍen`SXC)S'OUq²weBECѲȗp/}Y%S%@]dXJ2Xߙ,i 4k5uڑ}ka<0vd=?~mdiךah1,%P精 ͽ+!ȊG9V;n8 b,hPAja$;"{ uQ8_F 4cMTR'Bg cVe wt#AJJ'ҹ=%Rc_QA z( b}pue 2 6lNDp"`;/cTzrD68@I7!& shwJmCBY>emv%] g)a c0OwS"^.8h{mWݟ; R^7p@J ů \_eQz'8j}b,P M!'@Cۥ"A@'B8u΀?ίgZѳ0{ Ai:S,FfpۚG4OZ܉5 .ƾx_6SUoZ:AêU l8ZIۢ5k2 D(Uϝ4N-aw1w4ry~=ƷAr1Ar9arkf~{DVK CrZJʿ&ϝY'Cd7T JmSp. i<_?Rk)zMz& Ξz *C?o$ BHD:I,+U =a#6rd7KyiA1 M\ !FHC<}{k8p %z ͳOu ;mζSmAN 5dη3q@kpBS}0mt81oo 6prn]0@j, Ne[;+^'  !qޅd?!^d_/GNTb㇞]PNhyfM3'2as['/g_O68j%8J׭v5mO>5ZQׁ$]""1l~Țg x+("KGkRޓngnYe8^\=|ӼOu HPz 8ܸl-+5~_&r%(<Wy@oAaH\S`[B]#@d>5ਣRKZljjy RxOrEr$J(߯#nw;aL3r; >vb] HNx&(',:{P,+h,k_2~}NJ~7rZ.y 𮧽ԱaHڇD=߷QoaEx?/& b-& _'u#G0r`Mz66~s:Vmzyy]×_uBr`*z=qlU}31e" 7,"pCCp0FAh{HN" 5[V'qϒ2Qq 0CvB8Wk4Wvqʒ]r۴=hrH u;o"~V@@[dG}CLĭ"c莬:=GNUv!:Ԯ ٥Zu h= u@:5pK܋3 h\k"d}<@.n.t P"-e4N댃 0~*CȏpyED>< w~Bl/r({Z^} Z,&tv:5uO3!oIUF%:I$yމ!tq]2z"aMsxXY0A='"De?3YP1D?gC;0kc}P,}j/_~nsK0[>%RQϦMqn f)8RbQGD0vqD$B ,@:Yoݷ)Gaf5ڣf 2dPпf#VYaQd 1Pr`#RXAV R{PKe -8K %by_6oA`97XV-0k$X9b:DYP;`3v3Ӆ. H'!ڞ?g<>jUaEpACZAN[lW 8q/E; <p*={96JOE)草8?Nd;btDT$hM8 '@ ý+sÉ T7EHWkڈ,h۳#Gԉu[}ߜm>?ȝ܊Uu\l[¼uZy:#+"xy`:@${1W' {Z qo"S.Pp,+p}";+0g)=GvP-Bh{P5jŝc|O:~e4 J>2n I(ɉw`MjɿB'gWax !?pT[1fJZymU6`+Vr`gZբF:&T(,$u3wCqJN$C~.4ITٿz"r6r84E.R!2f y}[T;Ɍ2${4H~T<*W@)/CY,"D$ɨ/"q_<ڮ ƺL~1bbub O+& ,[xk 4uG4YТmk}}? -XV4e+Vڹfe5s[q#DYͲ܏v~dNY2.Y,+hĠ'*O}ݟweZ<ܳ "k|?k bЪ'L `'D +;Mx7:GP\mOA;.2/ϐ| 6 P"S4H1MA}eKmf޺_2yn 㑓Gvhk3r?A8цJEH} Sv}n"; Tw# 'äW}e>XȔGtO -097or6EBzWr5.;3ܠO\ aH_qoiVWвqo&3 ,1@ZCL:@d~x%C2,huk6t͟X̞w?jFDwlXE!e3v#dw4va:.\@c2zZubwe h_h_0ΙGFiKo%-! пS>aq_t^-+Ai(<A9I*p&M " WB ^~d26VŁ])S<gm]6|`n]+ zg½'>DqT&QP:r{[-0I9F~}5o7 >yghMSv(Eؕi==FvS\l+%Wk5lX%22K~uSz߻P&7ZT ޔz"yF'I="!O{r%U e\)Q tUQƄ2a(]e<8[3M}W2oBf I0!jMٵ&' &cڧ|۳'/O7>ܶUY #9#(0t)L N8G?N_P@-+@)A" Q]Ȃ @PG*op;( J BY U*dxf#%0g@XmT.PQ|h=GAe8^j?vOc!-VBx+S 1!)ecF §8eާ2 4Zè2w(pO ωzZ;BpT>rqW 1Qp:258e`;xHЛ576Q.Tp~{F)pp_J!Xw:p.  O9w&X5AiU,>U0~dm'ֆWtL؋?g/^دwo-V6,!咎E+޴e{'VҾ`Y>Xj&rc8Y:f;仉`>Bb+p6$aqz~/Dj ƥfoO0 EA>C$wx@FYؐ@f<曫uGR" , m8]pjnڋ|f 8Mv?ƖvNާ\/:Y>9Kx~\S gP9]0rlKn8쁲0yY Ğtu ӌ.M7܃ 6u93ĺMݮM%Bϫ{}k\)<.4h [O!:ؖ">^)upX]؇yq"?8ʹGt;:>Z~7sVse_nzw]k+ɂJP1fv7_;}:G 'w F-cJ;Wcj)D}z[=MӚdREgd-%@A|(|%!@ї7 nZ56,{.8% 6wG$) DSD&L7Nf^ELv}ݏZHk|"u%JH%BH$"]eى%"p6Kq$ :a ]=bXܵM]7R?eñȏ \}g]Qzn'ʽd*o?'[)d;@.PǃK#٧ NS*m>EGƳ_/#M[óawx9W2:>[ <KSsJ|4G^d>D.OM $#@=boCFZ#DŽz/K.Γn5E}l6,+i?N=_g?UhI+zew V=aTM6?K#@w )2Db@] zOȩXٕIK!w&۶fddJ&ruY#Ϡe!ܿOi !M(Pn,></@Aud@LD?GJK>XrA7F¨ k2:JO%3P'_`\Gd^c _"egnk|5ťv$>hCwPn]i(9gt ݫRciHF~ʌ]*^U|G)a?ſWRԹda AUrM(c=ɢtkڮtS_:R;&; Y e]b8EF*4sYBW0(h'"w& 4GT,N[>}kbeby};>:C;:¹aذE+[Gҿ@Pzd 2-L˨Y5Ub 4~C$+ )U/J'@6P";Bͬe(p]I.d#NU|MSmWQ ,H9/bLPI<sA6b Ȃh92@!_0rB)(~9 *|]] RFmĚzK+lru3<8y =u OQYE1LƲ`pSލ9x~1Il"piFhQ?S<S)N:oBW*c=К>vMe @ν GO_nvlS)çʔs E'; *\KNjQS p<޻7w|9" S!ܿee[ lyף}k1xh 6r*:'G?-./nXUAuZY) _#/ڋ>AMgY=[> ",kKu<ww{qj8p<طΕܶ14~@D,,q$R~ Tmλ#wJg:12W>u#}c@)q 2o厪DD(*,BvA1bBF6FH)o/c؃&8d`53V"ApDvŸ; \H!#zg:K"'c+h-˦~]F8acy '"PeԧhxH=D<oTp畒:,ޗ|;*Y9L㜏)L^&m3 462MYx@sgElJyg *(T݌ zx׉x8!HqZJC[Kz}`jG2 JF_wwcj:,ڱ\Ntwɞ#tвw-'Ucdt_N5ifׁe"v50ȑށh۳!8Aj55zA)I_MoTm])\A%W6Mvh3@Nuz%@v"D+VНh,]p?v|\*Hwⷷ9)ɂ*m{Yybo}66B,y`=s0Bb9{E|ݓ!_uK.nKcǾK%;#on Ʊ|;RɢR}>w G:)/ݬ _>Sw8wW ڗyu>/MiWz;z{t;54P6(f{sꙥKDrܞ)Ż3dO""L/O$cD2uw8vGD$FwXz] 8m5{bݳGV5e?Wj_|on[Qs7ZQϔ.X~ۚ[qXМeY~ߑel{5Ee<0} , @a0t58j=t!+(v@OA1BёAIdC f]Șgw `JϪv -S ^토"  ˣ|,X譊mZ<ceǟY/pdV-ڛ}Ys)et6"/ AuM-Y3v4n{<gM %6$fC&X ڞJ8!UY$[TcYwGiJMoJFo&xV:۳XgẦfg/t&:@F7YQρW95A[sY\>* 9Э1}  4Z<զ1>KSr ^L,PFL'"_5fA͐f<lVeX#-ݵ={;gS{`` eU=8N<ڴ<E{rtls>uc0@Qe @"d{PyE(PFJ#USPG ^xC<UX>_aX)NLĵ0Pd>ܞb tmWs#vpJH$lZp."b ˰x!hRЊ&oF>ց%KYͼ/YWGT-0-)oDVU* Q|zspC-=ehh=c4DIe^O9F\a>9m"=kiJ]# õ9GB2 x Χ: !5]^vawnZY]Ses-!XU+M" DLPKQp "A ""&_+QIJ_:kc<E&ck=Vٿf#8 qQk[®5Ԭ)kVǛV>eqڦ Fn?߻,g"@3$>" I@B0# P @;}z7w1׫-}9a;V Z=dJ-FPcIt -j1aqAVz"0א{,8OO@!bPPrrZ5{?NbvyTc փtvΆu$1|Y޹ Wz̮4O/>jG߃H>0BN:6$ģ2G}qaq4U\h0e(g^DHN)G( q8sۂ^R΍"g2?mi8v&z"} e]:jg ɾtNOMD׻Rp%'_!AAp8DP`RI&,P@HoP'U/ pϓ}Mq&#k: sOb`ZV_JGuqne+߲!S<ʺ{?vtGN;ǃ"{wɼ=BfǾϖ!ݷ4da+DBT7K}r5rX#PSZQdҮ o]N- 4nVJ[׽xXʷ7YY@|ܮ+=ʨ2z탏n|٥̭q3m +~/}'@B={ ٖ:2@],IJ~a(ncR2sI]+E4/B 4'=MSU")>B׈t ă_52ۂ~ɦ.i W:R"%3pL:\>8g2 V:[ݚr|??V~tNݳH`L2D:Y@UcA4UDHF@ 𴛃H & ⬛dn5 <k#Gֈn>65kٰ>M/~m۲a+kI` g[<1@:Vw3hƐ,Lb5F{ЇO7=&]ݎn{w{[Pԇzer'"scRdh f(g&ȮP 0hߵ CzDck˔Q;IЬ y}RB <! D-~pg|,We5(`e;Ъ~VfSK<qugV~ zL>@3q:BuP%E6T+$*ц(FeE`3e~6T3=F浜[|a;ۖQ@3XhzL1ŵ ~DtDa˸M|  hgX"N^g };׬k緭Xϛxܟ^اUS؊il<VduaNJA}< F TSVCU8I 'm @$,muc~O?Q#@Eעwܡ@j񱍬X& #"<k'+d hDe1 0^?([BNZ;@^Ulk(^$Ni(p]ke9Q-8=F~~8 Eyq z56& % 2r`ϲv~'GL r!'G-!RQ]=99 k띶$ 2j X5ҲUzj)Qp@)Puc8LSt麄 (bT U X9˚m(:6T EBxbUϯOC@^eM[ jA,Ե1^VM;]Od@_u<=~K}47OI0PP 7 TV@)J)BYyA c'q(u\bٯ:' p@Ս8YqǼ ,ڳ~L0a_'? Pa<\Mz:2 :P;T$ SQ,e (c$RM$ u#2X*Qׯ*zrnx\V(]2;>IW;3e1! "8VG#3I]7#A@Qw >*)e& m,ï`^88w <_[ Np?hͮ>A}N OK]L`гKL'eDȩJQ*OHt8aL,g( {\$G.K_I߮cwT[ rTY=lL #,<@Fsc.؞Ǯ3#\'_ǻ̩חԖrP=r/N>Cst lH"nsRQֿoܻs)Ii{?l[ J*Xxزz Yq$+XV`ԍWv' {` ' ~?Ck߳]۳ CبO_ǟj8Y[#uN&?@Ƒ}{]ƺғ=!ei?O³K=gD։,A=Swv\`mP|bPiU]cm{xƝ^' 8۠[zBchLuGH~k<j񗸧@,%/b:n9+oPީ"p$L~<*>6޽㖜]jkJv]lH*YDhvE,S !/ euJ5!#*]$wȵPHYLsxK 5zAD㒗"= tґgs Ȝ-Y&/ G}˗:Qc@i]aU t 6l?uցtCΕo"T$f26<θ cD>~Ȗ+?X>UFuo] ༬ok$xǚ߱>Zi?|_be6ĞsZ/>V=0n%V24cCV{(n9o>ed}kUID^^Q RkCy)BppuyDT2@MpOP ^K86R>z^6`wr^?iUXضJv.P3|k`\ϕoPcj|lM2.؟b." Ed3W3>EzX(YOݴf֨L*۴7ngٝ! 2d!SRڧY޷V_(5dqƞyL}Dpz$3lRshvȴ(',=RtDIoP*ʳ Q3HdY߉X&o%xo%~$Wא9,5>fFk?]"N(E.K٥JOerlu1K ;A8Yzʳը.:k6y Dˏ~@g3AF*oUǰ'Ku[3POqHI4.IZ>fB";]ĖUcFن0/;ἉXߙ,8 #R8 8QSU֟S[<?~`McbT߽b=+ݾu-l=1ͳ9$`k%(;FYjCEIx*򊀒 uJըN4 vIU5tYJY$cu~椁RQ9CV!r.~#@[ F|p8 EU΁JyvA)n MڝK}fOmslfbGvV( Eq@xȈI x^ O' A9AWP]zPA]Ӵ{;V 4Ц5N9c=Fk.[Fp^YgYYJ_Jc,"]J)uW}H Υ^UkwP֍󨎮'!'AQU<K5au=P {Q뻂"D V\!{7PkZLHoȑºm$X5M}T pPǍ􇶶Ƨ/O?Qmg',$H(Dq|Svܦ>N$Nz '"ACtVj;@<KBn O7+pgC@U%I/F/]36c G"} Kih8X?\74^%젷v"DD(`5"~z>>} 2\7MreLPw+9d!vل`]翲lzi˖ַ?_GR=!` Sסx^%ݦ@5Z9 p*7}è$q ($} %8rΫj* TjjiG֧Nk.<g֥v;5CR_K֬}2XR1kfQw+@W:B-rZƕMG@1{FCSPLR(:!y A< eܫ"ZK%0 R>J7NyߏxZ5ÆOՋ KVtظ(x'U[V?o5#-_=IK7OOlu)#?V9; BXQ˔\f>4Mi(9Ƚ ?]F\V&<{X:!*vrz ])nT8i~9k=S.#+"۝ Dds+b%2۵L^l`ػIa][2/RiFv˧3sb_b Ppޒ~\a?4Bu\UÄW< e#fNGd?w!{nMt0u v) u;7;8Lj:HS =u6k34u]g"DDΌX葕jp&S l :2jE*:/G>qɾ*z[ltN:UutՃnYp]Cѱs,>]vsh3yFttB3dխ~6Ő,GugBf5< ޥonWWEݳ 1Y1!Ko'ϬI<pl }gu.滶60<c?ُ>7wppɪF #yK{6͟\tbarԲ>8j V :I-aӐ]%B*i#/ e0"%~Ȩe<h Z1:}^f/~ˬe"WJO}gH ffRf ,m~6 s ^)os.Mm`*]J9 W^ʳ: ,r~ lY4Y1k׋G߮^ul>XpRE*+Hy]]9A&^˔k{-&ꚈalqЉ9r؇"ؾ0'V?LC됷qV߱巭c5#ܡel<4OϿl%kNއm"&U7; ䷼s~ݪl_mm;-kuc*D$<PlzW6O 7ky*_ qq^q~6Twl}&gd6rT;Fgp;uS2(@WtCPBEYrI52 Y;Cw~ ucVSu8,/ʦ4=c'g e *[ҋ=pyn9I0JN0D pEu U8t]4^pxpPA,鷒6_ qhK7>A爑=\OEpX}@Em1"+8*-+P*e2^Fp8vOsT;ºhe8\*tomXyIXSc-MZLF)aA@ |QZkŊ?>€MO9R- Eԛx9LdA%uPMNf5}ds6tbSlf<c>f{#8>0>ơY2lSC0*Sk/bʢQ1yh=3G7wd=a!sΥ C1"3h1Q 8!BD~rPZ"UDET ]-H\h7""]E$QIJ_U7286oU89 ~ic61h7?OoR(6͈R>3(\ͳ6~b/>㖇֢!NS/!08u{7kyᚠmz@]Dy`!cp~)˨:E8^2[j6ۅ Ǖ-UvAӵjFxmC9Uk(! b" A]nF *."q%%$% >PG ?7؇SkxY׎õ4ZGMo Q!;H]388y8 ߥxd'jū<DN.!oS H]~ako;6u#G:oJss+}BGeשh-kǶ{zshË'6t ȺZ#E~  c LZ0 ):ed]W6}iRwuR YP=9V?iPB*xK}1Γ}c.J$@'߰y}=w[Y:uަ֐[J8R}쾲@%P`$j`R## ?d!"I.u{~Ͼg8huFˡ!6MJ q]{LBp}m AʏEĠ.iv_Iq*[A(Oaf#MdGW|ؾhӿa>]]qՊleMǝydZu'Q 4hؕdꯦxz,y"";/ G S5PUc7[] Zf7?Glĩo{vkuϞX;kC?h*|ʖǭAk65k@tA+rЃ;ŧ6@ǧ }AuyjO 4ܠox* dJʱ"KёKvf>mJe+P0յoLa&u;\g tLx /IIηg=r[ף1 =W9kGFvmdbVby<y;cٻe4NvO,`.u_2VRxD Ql#]cK0_KPkK%aw0%W`퍬~oy{YضrPχK)FŖg58Eev2vj%`R6 DW (FyQr'VQl'u ~ `k=?ޏ?lK}lygҲe-yWT:|أFM 9:ߤƯ!Nth@=Am`!:A]W r Dz d<ZFaO]zy۳]X>ɝmjYj+'5G ?,.̯si{ցn"oB4IM#kAEDRw [;" {zg79m`qzv9G@ \>+xCk=BG<A<QniOY: BXRlz߮ƬIV>] m(xaVG6[meq')N(@ɂ~)>ԔYץp"*yOߵ^Ȃ?7O~<ԢAeXgoc#uCHE=2 RpȔnRY}u0؆ b:P@%-cL=p͢{=Z#Uكql|'.P9֡h9Q O)CZDDV?P Dj!P|:Nsi.d}U[X kNPL +r  |R|)+kʆ^j7\PiZ>TFP;|4e+@nf{.PdOV:A{O^B 2Z18rW>%pxjO0'wM+Wȍ{7~}EU8B}}<v_d3{8c|r/bA2Dz(@-CY e%(K5H'xШ̻S+лQ2!'h%ZV2F0șӲʰ/QIJ_ٻ3!TokǞd[ O}5?)Kݵ%+>?O6 keo=sXZێ=^' 9=" |ɺcqc8Q' ]^ܑ_w*1UQw59}V4lc>kΣ@\74>͂v ѽ<_}xC?%# @<ޙ8 4R#тUk/~k-̓VQb%U;qp K/Ez > "Y<&>mf#9؂\<@:V9eT`N=u;BIߋ$`Y|n/<`|gB zܱ>ŗ=uuؚ'M=rK7 z'~ z8gS=_zL]ݨnϩEm Z]D#.P&uדQ >ҡgV>ŠX^ShpGBױ= rː]:|EoQPųU,T⼩cבּkئ4YcߔeDdA]"NԼLymK6td'?ԌYnwOk=XuH}߱'EdA'D2${*$s܆QgoYeT#{ yI} x|ɯȮ#ո1ó &9H< Y|+CJDxvҘԝwYBD ૟=cQdV+j97S9=Go\L} u1)=`Np/+Vг,;AUASYN^C.2OdA7A^x?wz޵gSC>Q:= DX<CC}񵭅m-6Jv|')O9yՇ"!``/qa eؿ k_OqR*)e{3)0FPW$ 䚋=/&`zbQV.hTݾP7tu?#WIse? i߱Stu 苯uЦ76gYYK l[N؜UwkDWԉqNbZB xY-5Elf2AS =@/GO[ )-#I;vW4^|ۥ!nYv(?VQQ7 '88_B WKWX_Uܫ2v);"pk,PUaeZ^V%Azhw=%!׉_n5,e|%oWR3_a-mVYUcUl߻l OI]L#0MVPT|Mԯ!S즵s|,#؅MP&@KYAf`[zt@Ȗu sGM޷o#Olb{Ъ8=o 6%sO@-S|nio#V?nXqm'Aùf#+ ao)YJg5K.E']#Y̳"O;Vԩ=u5nx]Q#|=+~fCǦA-(@Dt |{"  j*$X߽ZZhϪA)Jrbm :?O>% "T1{P8r&2ey =C3_۶yuM>!q2 pP~>VRdN%4QVBp0!5O 㜥b e쯰ϝs|[Ȃe#!:Wt>'X҃h=ަTe9eLPFNT_m! 9Uz7"VbhzJ<BiA,+pWe+lMh.G9(} jRw/eq!"(@p=o+Ld1Z]ԝE:V'砎zVTp_#s+V;c[>axbC,O1 {/ï` vJ[-sL'; D,:O,@b@^PݿPF13kMU{|L))ظg]H)sA'qqb%@A' T/DQ U M!;Ų5]~=l]#?I8,BYy Eٷw>Վ 0x|@R,<m{J@B)S$)YjHb6iS9ѫ;}?`ՍV5)gWS> yiyw'I;3w?dqNBɼ.0̇)c%9?u)GC_p:cJsV7Ofm1he5U`7ng`QUHԲRj%WP6u PjZ9 @? G<cmȿ2y<xǁ@ "޶ 8' 2:v9ִO\A9u#bm" f˾:9Wv94sN 9yf[ J0lE8;E8(ݦf;jlQ$UТm{,^ʱV dOoϱ==asc/Y; YD}WrijV [2VB,,+e}Ndj q*G[M߲ﭰŖ6v,g?)@f]K+ǒ{m[BO{?Տ[2 m4!'@r"pO~nl,{'kdJU [zq -<"BO{(@NDl" 'B_]!nCmV`uR^JzZec}Jy7n}ϲrU hΫskGWT+N>\A7֫q96 k0t ]vJw`˪jGAp{Vhg{خuط~dٟX~n/mtY$N0dA@4H;NcY$".P/9yc~|L(M&"=yڦ_rϽ/uy/ХjoгZ͜~;:r,Ԡ}u1S:w,sGSvV|_MPݽ) UVNG-'%\q9:5茽^~vtw2ϴb?N._'2_ݷ 4cbf_ڃA{<qtcz6 V IHQKvDx+5N{[Ȁm{иxe"ۻvJ[f[xr֮Oڕe{z׮bG-t4Us0] GÕ1w# q-רC/i\ zMXS;[r=6=K_o0U&>w{-;w;dlCȔ=l}KVm 5j=fA A:g ݩAY0"_h*/d iר'Su)Ƕ7+3 iaj-#ԽUk&sB@kO(_7t@Ln+'tM?Wxzfv9wY'm '֍^Zgݷ)|9C?F2݈>Fz_Lv#`>fhvv0߬W8)KԵb3.I%z,}uEh],H8e(Ɏy(@Ըj]PBXkj6^X}d|bJ%*5:r/C* 7j/~*d" Dߒ&iJTWꮠ10(?Y](5rzìowv__>fe^d9R{F{lI)#mK\@9x@ 9 $>4+Ӏq5BJ] !`Wz+qa}Қ[{lz|2s~s<Bc])vmu|- ,Pրse  f;8W_- "mW}>AؕQef bB] ܤ邀}2t.}~TB`x ExO/B1 xɖ8tP"_ | èTK,{nqJu A!(Us&SGiklVjƞYN[ЊWQRg{G~}#֩7X #BS~m><'>"4i;߀2< w@ wc`q4)_d]λ;چOmBVOӶ87p,fm]B_q|r2O-}861/|oiux{>Sjin u2LOq |YލHV L89_s1V ]`~w68bͽVB@t3G=! E'PNu_"K*z;\=B~ 2kj :.gZ1BB f]{X ?Eqp;故 ' UA]GA@3k$X4duKYL`amV;vd7N=& ϣ8c'V6|bǖC.9_u( Yõj8ocˎ 5#C2 \] e@] 5{ @C,)@$L<ٗNVt{2ƟsEOٓ~i {l_0|_[] Y2@%,@4lڇ_|E9M)`4 bGMP |Ėm"@ϓ}qud?m|J5Gͬi:d?dj,nHɽ^<3u/˦~WA^M@նj :[%AJ鿏T8?, #nwC"w2"e_,Ji/9D, Y=J#sl v)2|deg? ! j/վhilGF$z{GZ$@Ri|w˾;O߆w"^{և9A~3:Eo&4Ⱥ0Α|=Y}_+1}lJɗ4qeF'g<3;!:N Be"#[͵dG%OUE)9#xavI]HA5ɹty}m'Pz$,Oy_ǻ{䌽guO{uGڱiU-6cB?[M️t݋ػbk% uqwf G, 3" 45Y1iVҘ,p€`^j;) }̖@&(B؍yMC+K+v2o+KG{(n@nE VavFAĬѾ3An xVDe!Я2%M#iiש#㞑Ľ Tj|TB@ >cy/z6u+q"z)o[j e ;0b-M]f{9>^lR~,A{W]%;AF,z% R#XT?. n ;\mŧ'ȭ|dn^v2@37PA>]2 =el۳[ᱻȝЄΪ@Yg_-~A5vԀniƯfOq=mW_P\kB[ \=ZF˱#@MIY"a3x9Չ6owZ"3MQq#b vOA@"ĥ6h{uDz d ; 8;ZWC6 i;;" ~OGQ-ZUQۺuh -à%ENB@8KŖHdg }ֶ;PPr s"6.8*Gx#!wpD7XQ`z S`#۴3,<HHKʆ,+&R bԒgAہ py ػsvxo3km696biӎ,Z-1q(k:qp.,? kYAg /8+s &4± ) 2}"ޭ%DMYQ:Ϧq¸T:b_ AD (@ Z(3"DJ;ֹ)^D*]:0MDNM0Wx ^! @&"Ȁ-D$tWS"@,u8KUY)V3H2LVld}[eh.l:Y*z4򑥫!U(n9bWG_b{\?#̭Iˡd m} Ba*FAֽE6Ӻ%'.kg0(f]:b }]7pp9q3_ %D$:;g|GO[:$hK9pO|[wQ-/FX RK~2<y`E PǨoFmꞜ||ؒ+및>F&p[?+ַ}u_;Az -?2] ̱?}<ͣ>4pUa ?ݧCYg'>ƬLv=m\׻, +Ϯ̙JeπRlX)2.݉WzUk@-Y1u i#@?բZй9EUQY꿝܀*&xa͘cеzDt1"dM|L)'5P@_U#ʄx>2JlqEny Wd_gCL,XwCd<Ixg5 U@Bے dkq?}'€w3]p »Eƀ N]mܳ;ej],d_Mb|z`F.`F߂owҲ.޴ݿFzuu269G+%J[h'`q>5x5Ҿf()5 G9ii=>G?e>[77l`#~Bh#d9qcfA$Rqe'@|w>l C"lQ~l%: "" D0NX7s ] rahɂzS0H*dD+x7F=WV(PRWoD{F]U߲c9MۖE]z)k@q~A:E 7Ҡe $>*vOƊ"خɺHA{1e#GA%teG򿕹nB)<y_=_mn5}|ᷭjQʪogK/>Ԓ:[b_akgl<ϕ߹}W>*~}o3֍]xe9 @U&vGr<-^eމ&rOqwҎm%7-#3"{; j eʆ2FֈOC>}Ud8Fhu]KYQʆRAZۮw}зxJ%H^Ӵkԗt΃2ZnY)Q+>@.DN*+]f˹-i@c4+Oz?66<֎[{ϯ7lzSŎ'oL6=:lB r-Av-v~DhjmjtoVvlЂ6}ը1oC/lx .xO ˇA3"9 "!>s)@$a#,cyQ8th<P߿oU*K`m{7,"D!b>Xςeu#C[+^.i m.U>x,YYV!Y T}bv9DIK׀#y&h}ɭO9b.)"AH澲DEHDz dZʇB>_.@sȫG8?{l?:GG {^߿dZN%Rȁp"tEHIScPf`=x gǬ[7d@A՘TZ1I!"nŋ!CʐPC 3 [hvrC/_Zr["(w1 AAً*Lb1\m{g6wZl|xpfNiJ -s8 }ݙ]Sm p3tw4PwNJc|Mh]'pb@"`d)F4`LB2=r_jQG!<!*JRdȹMHwu*+#Vн}M "|x]4DyP,+Wu.KhTzK#6+.'kݛ ;")Խ8SȱL,8;mg6{0̬:Y'[A˘=ƐS?0kS+(w>==8  =g!/%ʿteRa pP45%zw^Y^;0i!OK =0 1Q+QhsYvYdVDgUJ5*féwc,SW, 쏑orqn N::yoGE*'B]]'65Kp:hd_g0 [֌7kT`6`E4+Wd{26t0j@qG=XcL,?C$EA΂Omdm} O/ e(@qЂj"HYPGzMG%P֛,Gj6Mg!j[&JÆEK4 bG8cY.o ^ qI00hCAٜ_Om¡|\ R^q^Ø6вѾXnh?$Rq1x!l~ ߻JdAk dH梎e[~yI=O~fEȾNW@N ڌk%{/pY"q=9m)a'wN2.y~%HƉw'oih~~9Ivr̪{,n #N^J3d%q/bt] j)Gw}~*}|_:&@T]w<츂`?bP+S-Z fg^%@PAeK֥ D=5`U ?%0<{69n VcoOviVWq邱Cٯ?n=JPWg;T2~h#GޅprM=1<"ٗCǗ_Rg6_@|m8AȂYY 98<0& yJWe",#du!^fgQpn+ 9F՝g.kj5#;u4_{:$MDÆ@8Vw+e==d?s'w5V(d`B۸.'XK7Dn\wm=˨nV9<kZ:uf%Hu|e{"Ï&H1*!2&/ba}uJ}o\OYһ߬ MWyAD:>+iQKF.#ՂȦM$ٶTR{&Ϟ,gdyhχ؁}hv_{Ox.bP^AO羗Hj_(Ǝ ae![Er- +#F +9rle_&ZD"/Y1 E=YA?88) A02] =C`z}=_e'66†){ ιC||빍nh@Ce(@{enukV8VVA3ݠLM䰘oY{mSCv:.~VwSXNmؚIdߵ%,v?@쫺dPײ|FݱH췌϶Mn線$vsvK˷ﷸƝ(ĻPUMĀ$:?,REDhB-+}Rۇo[' Jsl_vR1-nDd^6k'{֍*%,$m(7' An E ' <h8Wʮ[Q۴Kފ8 5(}  vq J9y@.6 lY|@9(#C]u('C -"umO8&6LP (TۿjMC>ξ kvOd0ed[ Ah$ mW`B5ZO~eā`UN`Y(IqڦRAR{q<z"$V ǥU1w'QAExj-3,' /" :ATƆ!cC՚/AN BAA3DO@^RIX;@], 5- ,uI 4pNWLz J1jMT=>Gi6>+&:pG?Q+;By%l5(clm)~׮QNy3>hJR}U:{vLPn "%%)s8qX 'E{f5V]ion߱ebd18Yru?hz#+<pdEVGY4]ޡF/9:YJ11=FuWwde=K+E~[jI|}={CжL[kgؿ6#uNnZgpZ 4ˈ=NdQ8 . 69C 4#G%Sk lf9Y18~~ /0,=~.i;>F0 W eQNF<HBE:uTYC$n0ug^->4-8zՠnJmE(LuѶGrɉMIM=N$d^Եl&JcK8iHS|rX~Ч;[m)io]|(,FoBTԱ=ᨋM>m=w|S} Y4RĨUUUHDXb=kZb n@F׏eJCKT z8kx枂C+Ac+= ?:tO v?ao C>2™u}`@>Dg[gI+J:4vFI}·606cg333owҁGw^ʶ*S}RC%.+G~{s`5HL$##ɿ## <ϹEtsv1'[Ugĩȵ(|>X_9}RJB"k%F/vRkQ=Mn.#"N&h8Qo6,y۲Y=~"@gd,ֳ 25T #/ɾgf ![IaiKu? C|ЊMDkt@BfrWEZFe<{MNyN5!؞-[enUaw}3t<zLسV V`u?"ܵ>Q)*A8(A^; Ӕ?CsJX?hLw%~6rl췒iK!Ħ+;2{cOֿmz?@=ogU#@?蓢^].{򋎩oh{8&xK~%|;A:[^*I\]RjFh'Vk8~?u'^uh>M!?tm/.-ۿϽ%d}Md-<>}e?Cf56H}l?A&۶ط>6Mn OlHXŧ_ܱ-_ jOOвT(qXٍjΕYЂ k⛊$(CNJR WDEQCȂtY*u6[J]NLiq à9r e/HnOg ԭfSgZaNPhHfcgSOwۖ\Nj_L 0ܸ`iu/4D(08e?3YPKvtS" Zjw^X=caך׿| R!W:\퓖)Knu[? A=IG$~#@(OA(VǣAg"PbèС@b{=O6V.X%*@Tty(N+\|H/_;B 38= e'0wue"pk(u$ԧz$@Ur}yXaf$U/R@ wAci"W ~m+4auc21l](A}73 qB`<& ( H`[2̋P^ p,` ęc8:hY4g>~A&'t~"g1tK.. cs(UX]ԍ@@>ji c,B`Ѕ,y4I9q~ O*cB@^Nȇ~v!55ܓc1Ν|jCe_iȪSa4#S}Ͷ?`Y6d?A]y"0)A)wXX;0Gt]/w-b "a9qBy=9h?Y}r0Ka]Y8ڟ2Pͭ}V1ky2 /B\hh]G1uo*x+?/]Z`I1DTAU zو CP*]늃S/\z.ٯ6lxgM! ߝ Bc_'5XMo8l#Wk-x1zE܁'> ^yS g?Om`g0oɼȃC]<q_&P\-Xd,Ԁc܇3% j4 Z@ZI @Jn I6uX2 Iֲ L왜d - '#cCi8Sow, AIq Jl:E>64kuDP)>AOAն.z' jZ9 #t#\޷b{|a-VXn+[NksjR v9p̳:V-bv_V޳"$ wtkeg(G>3{Ⱦ;z@>g: e3ԅDcKO{F7a>snJ}!N_6^Ez" yi-áaP1*A@B Y1ú :)AY:AYQ^3C wGK{>Yk.[[_o C!ǎ*/t>Aϼ_|eJUpyv.e|L"B 8FdtǰwO@ w@B HL 4M|A>V r"OT#(P>J^,!5lm ymƶ6Q֩YX#PV*"RL(Q;D$PVQZ),GNKqe3eQ*{HcA:Av?: )tWQ8kY )4o鯩QlOhϼM>+uq,[c/>v("0S9 h@>AJv, û;p2gd1Ƿ}i놭J:'-fRr!5#=w-BKǞZsl8sՎw85 >{Xn M69yma‰E0hxƾ'Vi}MzgvѦ^X A<$@H_r27-GXPW dްm73zncOmt":~}[ ;/}1~){5Y3!@ z?4!j6콦3T7e4j ds Ѳ XZ"w*Ea_z:OVw65POтcgb/',);7vWiK:!]  GP6dĝ9mYΖ>^Xq,e?3YP3Sb@Y][l(0¸sbwvq27BfڦîEXߴ'/٦gDC6w DբT~o>O7P0"үeyQt</Q٪1Zr>ZշXE X]_} gHa9vǍA" g"x+J,"p@]N,~"H[DP11D`Ls k-v!4[.YggM ۍ)(&[LpmB\D d{= 3 p-q>OjXVS$A!'1IqpJn>x"24* 1E&"\e+~9:6PNB |89r!#p~m''V-q }kSb@ CwCWvk1*DxAO[|ȧgD=˾fA(uRd_oV7e?{+n[G FB 1ur_혭`|sK* /r/&0 ֕JÁ<Z )x}w+# shYg1J[o'Rsi,<Σ]] :[# $frN$b!Fqp "ǎOq@!2BXDWԎkp:-VtDD:KY1iԃ~n27Oc{bXw'kjuy?mX" qH(I&˷B6`ٳ"bA2Fdtp߱\;Q02-}sG\԰J3GJ;&~6~uH[G˒7Me/IMO]3wb(9Ƒ=Ŷ!>FJA ObvvQC$;*ܛĠ ;2O<ٗ+DVKq~94²5Nl~e58ݶg'whElþP5~NCuׂ巂.d{_~"l@ȿ_>"-vȥ>gWF3A?ٞMC&D+AF3˪QE|C," 1f zuc@>@"J?}cl52=;Qܟ|C~d:#(`[ Z2/hN`YP;~ذYgmtv1" _7YM#r j] 䝖=HnqC0DW("!{#5>DF Hv<%3E '}zT+u^^ Ȉ ن7u)%|wi)-+%Y_-q.7'D4No]=zC˶T6B3J ?z9C6l ז/^H`[Lcr\twC4 _3P83MٗtV?wĊ^v"wV9fݶ~ҾG?Blg-u8a%܆ qfF,[_G<;B<d !'w`#*_EfQwa5p\K7е>+g>k'G,~x:A f[IX3u R'^Z Z/Iwiew~o<C'42hoQ0ZeZkml*[:}nS]SiG;g3+XȪ-.u].AH"z涐}-o8a@ -8v@sRfA";I0 B׃6 =j/?˵ETnۥG 3hcM76Kt_J8&/>}Ex]@Tj5&Rj {YF> IGH5)"*׎>ꡧ'c<LV jEb~dk?uj(BȮk4!k3unk_Dz dZ%GhR=@?h6?}GIe]K6ct@ŠxA-u߉;o~yI"ѓ'Krd(" {SޜS۪:-m{`A"|w:jJkZy2#3cرsnHF 7B~Dmy T1^xhS; a mΝ0P?#bU{4!c0V IOrS"Dϧ$:.NUC#:ԯvwg+vA#q:zg{3@N<YwH8O@!9OC<.ΎGOUmxx܊(g`f"D8+08 v]q"bD9Ku2&4a'%BŒ a[Sl|(4q#8NGQ& <,йzP:6$qھ01V;9x Pӹ~$q)> +2|h1d놿bx!9Do8Y5#tr󜷛Cy/0fV`1ɻvwd\_Ћ&(ݽyڻIr-o~~pb cap(F-c U{yNFL?ط]a0(Y| ~xTrBKJL(&w&}hޝ (.eFRȸܵ3"c 8_hPP̞ 2"d0ϵ%V֕_q{睏m:a#Eܱw; z<A+J94>ݠNc%%/ Vq0o$y]h4D(y4)JfTwZ` 4s𬚷|N% Ƕ4ӊ]<2CWKx1~coӘ@?M >嘐B97P(RG.4|(2_}ptewxpȸBp2< MU ?X˜s[?gwmNڣ+V'g ڿӛRf)׽mZU߶bݦ.Kh zU pLHJo !yý߃)R8ߞ马uW/H@thFHn:12xz<棼?B38xO@N(etD'G~DOgJ6wt҇0dvuCCM{tbImkg5] @NEx#"GJF<?/FW- fUVAD=H`rM9 0h CaC0 A9 "BP3 Z !8 (a;C]tݙAgzǺTo w ,}@|CIˢCMFd( tQԵ k9)=G_ ߀c_}vk910 AQ>*:H4qύu@z!EO?N| :m>>*4P.x߳= ̨ﺣp}< 1mWx3a|)̯_V]qC\'79 xC,g x!n4MK'} ]rwf2yyo _\tmA4\iTJlE1 ڏ|#Buڦ1dc~=hN4'LGX2_k:BnMmpt~qπx6\ ֊Ϳ%01W|!!p$m P) 5Akpz^@5v`ڑ%mfNP:" r^R Iv[*D+p(L/x C}vbJHnxAo/j2G?I[l;NC-cBC@d- .'."2k6В7\roA'3:M>^XSXow/ZZ;_6P.&JĔmFoDs`lQHFN>Yy3#1A) `{f}Rˈl|`~r>>a =1-1%e]ᚮC3^p|D31QJy'o=M%b?ލ~-9 I Ye+*$B VDLx  w(ୖ'O)*1 rA7 y=IK uj[[ȯZDՆFNڿr!~:c;˓/=CtÞRF~T8PԁCJw ":)'G\2DµipmϧZpG!lCDB8-i~\Β35~(m3ZI"8n!KS&yRCG̀ uZB !n9s^DZvBpa"+[u޾̪2o ⚇"<ieٍ>V7:2fYڷkWv &vkJ c@Hc$Ak%0`4htE4u<`(+(t0a/]{ &[X \pu/ pftz +Y $Ob{mxFȥGCύUh2kB¢(;  r(X@LzΑ."g}W˧aXm`|vv[nВB}QΥׅ)4z/3-uG {;AAE\fs5b'`nzq2Q82)#I9!}]u MGN\Yl*E%hAhd@ >>'zH608xE*mϾ7k4'^jiF ׇ{2(z|9pH~ɫnM?(hYpZ;Om࠯5_5w h_whCsףmQv[cPh_ƒP mGT0b X9e0[΂AaçH^^mOZd~ΠՖkYI׿]W;Q)ԢPBN N_ޝQH|@=أE 9]bWflv&gоtMiBl'i yrNі[ZbRT3Fi[}88u"m(v0hC)P]ry{^eJWg$e`s}_?0=24~Q(6; 8,C%V;Hk:>< Di m9TmEh+(h_'1c=иޏyd:]ÿ Gpx@~-^r8Ewȩ؍ѝ9Bt́P]&tApUu9#<*GC_4 X\o"O_,h9N}y~۪Oj1,owZ~aiek( aiOT7nv[]v/eY;߅v^?_7ryV<:tþ :{^r" $5[61ȂKweUb{+*<GĿ.<[ ~@dFH [їT`bjՂެ<05UmԞXH^=߳djR646aO{j[?SF;B`̆ T`k:19 JWBbN##_P^71N\ogAXJ1,Ĉ%uM/֧],{n]#~ o}e#v#x)|<G|j2BO |'_w%0҉i@!tqhkx)]C1F5B }!;y,< hdя1ъA镓v4~#",蟮a*6[ғ4hƛ_za% Anם S5^@n`fxxy ZDѾ+7놸 ʠ|{BBvi4pMs1WJ]FU>:AW#2¥țJ[}zO0faN|F}[enPbuW4ا9P?O_[* : 4@@}Cy͠L)JvpEy) "*úVlck&6Vɬ_/֏h':)Ok`}oBBq-q_W$9<b}pFOd`(@P >Q0 d<;8vݨVEfFJ(E5 G2j%mĘ)  yE%) w 8X+4G\ۇppo.ǨF>i00>ЋמB*[n뙥aikM?2 ϷߞrCm`0NZ{{hҾ}-4gZ78{@2Qmk?ܨ|7*J!=ˀ2ugc[j&͖)K 1^^gS1̧dTu(< m).=B"1WJ E"M+ڨ]428],aאǖtlp"e{'Wߵ{:2-w-ykh8vڮbАHD!Ap ya\/H#1>*@'c!$8\qg҉knڡ)U!9ZX9,3z=и^w(6y?̢@`Dt%rXhw)M(M)ǚVckOG;g<@m|6VVA#99jsw9R:~__ږEYZneQoiG?S[?x'ewzh?о/Q3vO}{0Z5eV( uWF06cVh7EWE anNٓRjyܳ+3I}ȵ?h-#Dq;t-5`ٔlSPBFAYp1C{H'9_ rj)6VMA_>蚴ȦR5x^kmcw6"GyQ:@G_E+(ad1U9v$G60Rua0?Hgt'QS!r_O9 EVc{:ڧR.BKNOt g'>-D#IE%ZR{ ѨF,;0ڧ?NAN>3`n>/G@xfאXB{g׬3sefൣxXpJiMY6 æ`V3H}d=S.}%ZSξp˼yx"mQh7P 'AS tmt}v5t+2/z29ЛGFS>7Xb֝W'*1yNO.sA h6Urv98¹Yg/}jP@1* $CYtЛ\{]샏l`$kC ;xVZ=942"ZF<$:rQ!0 j{'h^!ʜ[l[ K0 r%1ǎQRo0`v-qU@ذjXua{)1 U丒 [h m4>%z_Cv?xC/uAhw~9Y<6>w?>TGh$z2ߣu'鷚&9k{ѯ{֢"=iewr߷{ӶxcЌRr˞YC]=zBIFoD^ M,ZxZ4dbF- l}.֬U# U/'!q`ZkwdKEٓ/>2 i%FRoJ6/QRNQ!htB9nvf2ܩP%O5u]#dN@D^èQ~0*(%!LLP&t>m^ s0t8VIy(fX1+RZoG 8:.YʳG.DBgP1&dxhòl\ە'##2=DA x @J]ǧ ܀E@GJW (׭;RFiJ S 1r(uQN sNd9j^5õ?pcr0$\OsO } k710:xW| mj9dNx{7iuvZh_l<kK%5c([),=5bYw^kIgAYEkdN4F6FB3r4(P} ½̳-L;ݛ@ܯNZ:]mο7 @K!(zx!^gJШt=Z}-xS-??0! Ejt"oQ&vN #ug{$m{G/: UiFbDj^iu;?c:/P0#+h 8ހN >%u\ut^wD:T^}h^#xp>cbje\kiyi8ʖdr6<D<ҒlH-/+'`; Ip4(F5"; 0:eG>`@h|"Jf;kKP*wM/aFF=w)J?DKu=*SCyCL3voKW =l5w&P Eʞ#gFFlG { Ø=_~7x*08uPֳs=<s~yi]e#N!4 y}kЮ'-)Z<s q]O ~E .ZsC #U}ݩ'4:mGX(+|Po QS9Zvǂ2лO[؂it9kQ?mj叇!>{]L{25X  B=^VN.P)Y&~Ex$2}Nz 7At_v~A?up2M5$^mp:ҟ=҇ گcrGB |h m7WZef[&1.&UʰWN:O/yH<TBЧ"u< 0,H)1 EupgފQAmwct>⼕RDzޭ_CB_/}Y :V fCy釼Lw<]_C]6ľZ*c[f×z*1|ulaޚ:{?_7>M@tFmkc l(kа gu5\~mJ5]۵9dijWo&7 hO dqpz!\WmN펥o( V~X;Cu 5"(Rw9u \E&\/ zGO%?wєȻAvN޳l kk_Y=}x8}>MOS.h\-1*\ҫEeB-AEOq@=H z]ѳpk!B%^%~+bw m/aJ{sY|uϺ-6o yy6QU֝XX7}wANI院= 4"; x&u<<86N$I.@?#v-h>xH1I}dkMd>{᩽x"iߟ+hC%C ,i؊͞gދC+- F8?{:2a0YyWOmzi<Bף>R D[BP~cj@=Jyqa2BgzGe)汩Jx`,_]GԺz9dh(PO#_XPZR^dE}[qGG}[WfwƠmt<6.HqieC4:^}v7g6CUkX9O].m EHmjZ|~JG]G/h[u]tTQґ`ȇ㚛gHpM3R5.{Z %V6R4 @sICsM~J۪{pY G㳇(w%9\ yPL5@0`'Ljb<iO8Ga{83s+KAإ>뛜ockB(-FԾWCĥi:ӥ}ЦjvelAfryh\[=W>1iDW]FfC(AՁbxbLuX:]D,8=5M,ҧ|;J.m!ڕ͋Ρa?0Ϛ#CUڈ懨wG뼛+ހtKJ _%tծu YVG#0e/>Z'ҏсsUJlʥ6fr6m#ZdnR+9ⲄCyIѳCfAa9yEڦyO_a%Q HΑwZ Ԫ$y}{(G )zQB犽 AcM1:)c]t `~&> WtJ@/T2Ac8 mL>cs֕\ \y7JE/P<=}=ZDVvd ە60wyߧh7.:?3MK^+Чk Zm9 HPN޹v~970Q|Č4e}"l#pg #<Bx4b̤s5({?;4K Є޻{c[o}yЈFA#MâAg5^+eS"8N|ZF .}d+A'*b|-ᓷ]]yיW/eW0@G(W2nJJ~t#m֎F#-^ʧPFN} ا @sx>m>ms E{Йs!iw)=SzN zϝ~2v+$gA }'1@TT`D\}3iEc/e <)R|䘢 yqr@#ÚncMSΗ d$"ڗ1z9oZ^α7 {l|&c/aB9{^vmpG{w=[v~}hC{`W924m?詽!.C1<WM{n!G޻1.$;-MwzRY!d>.<Z$WVWq/Zw-x 1A:s\>+<eetȀ DVE;ywߓkqL;<m}@\/@_wJnjP4t;fI;zOhk%c2$tpY>|wzH|?-%Og$I:r> Py_vג.po<G JO@]aZNez'h-9d%߸S53 4?ĚG} l~h{_Cva 9sMhAF@GO G"ыdnMѽ<WϪm-iE;XoY/kl~[>41Ee)R[NakE H| >28]̶BvQBB]|u~o“A)K8܅TO׬ .FV8 : k^m3BseR'EZJ`{A`R$8S rJS8NVϻ7XYqer!ȉ↉N}ΥoAǢ>688!w*Zсcsj4q5,sW؎w БQy<:/7Jv'g+k(Ua<X\_,Q؆5' 'A'Ө-hA9,4us3p΃I{&oܿڏu*vțm#x" o/"ԄN9#V75rxdu2F%3ANV@ph$0>s0#$t MPvmU%zb3Dڿmԉ=@hˬwtpfѶiYY]o%,YO,ԕ.v ޜD7PaAzo|[_Ae.H![@'2{^=QhZ<, i&& M=SK1Us~f0i TN & sB 9,Ar\r9CWoy9dp :݀['pۣamбW^)2iZ=]b0_yݑ'޳LU)qgX/EpWd+h.9F ްd^To}k(ZB\6ȗ=p: zK?7yw8GHS$pQ3Q%PCR:cO+ۊV#@PԀ<y~:PDYuZ> RCH (r}xg}GqFۧa'\H$g.}9 Cg^XS0b2WLڒvڟ-V'?֞!ydFnHD?T/7$P ګ/b=M'{ K=rJ]0C^ˁ廄hy/E ishI`N\аg3u|=t*thsCD0ŇG݆9 V?" 18Gd? >G=93N49a?ۚbhO411$Z}lqw;;=F7chX/GaFۍj;Q׺ٳjF o3\^8gsv}%֢]\_(G#Sߘz; !CA C+}\uS*w_9A @<Jܫ}?*mG E9KC҉Si ]#3}  :"r_KitrX^wV(\0 ZMF^KXjBoj۽,z9SrTl_5ٝUmuTNW7'|K#v^=[6eԓ %zy&/t/e1pظ}~~.<^fnCk<G/1A'(kzR'nc<v}û3SnCyp~+ }*P$\TeڭQMyur0P .x]<c^Bk)WTw \0Wuy̞5ܼ9k:'/{3VUv/K0/.SU9?~zP C*2 >row}L |r7$_^We#<p 8]zeĽE 10a?|y?Hf嘎scY+ywp MQ]wE=Nnе0=iz4> uޑ:`kN/LIs?HG敿A%isP?4~#",,_K4iЖ޶v,|Oko؏6乏%}ԍ;Ue+Q«hOVm{I<Y9h O\_ЈΑKH%;D+>B@UkZpa CFNdms(Xp2E21@1yurtxJetht@8 .BP@.жgw ތ{X/!,#&~Rؿb^DctKk{Z \z FJ9&Q?EA.z̉3՝np]g\- :|oaHXFn7# ~dpˡ= B{ͣ kPNՅ02BJO S@NCavaϗjo+%OІ|vUdh?cM?S^( e;`V$HJDW @4h{w.u4?H}Cz^"|FYp*1Ľ5SF Mi >}'i3ɂèuo_=D(gO]5,j"PΣCb>Jvemޟ78Tzkl_l>vY:mog~=gPF(cx\:o(()$ZmR'ipe`ZXk=WPuNqIVt7!B"(1k08|eN Ôu'1}Ǭe_ yCA/QzQ>ZEut#(#Vkd^?)!ǃF)4ArȦoz9KY2q+ZK{bg3M[6I;w=`hP]ݴZz ڧxݜyU+oFm{Jw9 CCr\"]^,PPƱ =4n R)M(5jBzu'FLSG[ɔfjEah77wGOR _8sT jWt&^9 <qEz%;^4)SEA~7o+քܿ1\Z} 9֖w/(otao}A0ګvw.a_°x{jEЪy,q%h[VNӘkB9(5rR9)P;_J |%{"hUUdԨO=RNj9y]п!<YB|}z)Dovj.w){osrpOtIjK~k ڵ3ɚufxm;~֞ybMcѕڎ?3+ct[hXvb:`ֺk<_o OWoovL /-.AFe<{,yf5̶V䭌vE\B 8r-HΒ<o׬&,:;Û8aԡ5hNXuy܂x3 'MAPT=l"û"LqNR;M#<:=*yнNGw9*|*@2j<zǚo7 ۫i>mo>g/g^_e˾}F}J΀jڳ[Y}'O1r)-Krԍ|9/Ï>]͚ބ?xρ9'L_ л65onkhE;8W^}TϿk#OmuLY:VH8İg(!`7U#`: 0w`6+nګhvZi]nFo~ȭv1D yʯ; JyXzC5ϰ:7"Rt! yYr(tvnۖW#(5zbXmUp?y`wQ&?NZ5g]˝^Ԋ S g:aNF"i2KA. B8Gӵ5"Fv4Qݠ=X񩤍Y@;}y>: JH=y "bDA\`9t`A#>]ߎ#!>Ղm7"TtNXb1Kk]Ga:G#r"hΣ(nAY2\ѕM1J fO~s[b%@y@?u,p(|яBƽC頻N1J&Qs0@s^;Bd'0zu<wm)e@j r / ҏ!pfQ*4P JQVJ)2G Ptqdi˝|:OZ>ֲoН >ޖFY%eC?֕=I[b2r a]3̻~4<87i¢?)Z#=&d^Ƃy+@*4rE߾^տ3 -Ѳi.~(z7eL7,(B,xzbѢv~^ vl(އ5$qBTKkAh]DQZ}xl_xa~ }szm[%b kou,3%nyuJE2VrnB@wo ՝A#>݈еиӱ5 сBws#VocCNqʏ(zD`!ۖj`*# |徰O"0Wx) 琰u:GkiXIOc2sm2/9[ߟA HB2fܬ2trs/=qSX84gO kPע(pZf},Ymٟق=Fj.CEǪxrzڀa1nܜ}{h׺Nw؝.r?ҾH}2grE/yS#Ƴx{hbA&ıXbf֓eiKM)IBEM}h)@o4&G ECA.ϧ1.Ήǵ/BKAڡ-At!E Yr)7:քQ߄5\rghi̱]w^kot&RF$k z}tF0Ѓn KNobGW Gϐ0:-ڈX aOx7n`H^ΗNw=R [KjNvL, *2@S"<zݟ}9E# ~tќCxIWؗO^!J%qp˄"jfcqEmn4a-s>5wt!7a"=}+ߓ?ٳZK/ [7\چd}@>XFMo!dsuj#q(|rUr+=!r- 7{\x}dsO-{luؼ]/ض=ւI+7ceMۭ~M\x%udh=t] ED<Ё)1DL)T!bb\a8 iWܜ?lNDžxGa+)-H\.#:\9S;J}a_xv_[.4/B<؃F{]yǗ+-9 z d]u[KФrr|w'[<>|+{/c8IDATf 9 a(p}~G;5,mK:RϠ3sb=#Gwb5%GAXfҗL*fw_ăsr '*k]wtڏ+oH~ @|Ѷ@a:Ѧ S&!1u.S10UvrYxג^:t\v#7"AH) cRm+i^V %wg I(c%i0[k{$.@>x Ȃ'&7D꥖ur/2e4<ZE4 alb2$3(p+ʄJvp@>:{P]*S!-(2c'iPNŜC~΋Q J2)cYF;ce0Jq;eZ|/cjݯ, qS^=2@DE\AG!pJ9bĀ:]# &R/3A S #" |)&: LxgaWКԾbAP B"G%W1%YS!JmIPwPȿsOc>/ H u_;, uP.:R0ڞ(@})|]GV( >B|%?5˯C3+ l-ۥB5 UaxG~u?#x{Pߑ-Z NFd4xA_spzOcH gNse(gt`94-43: fdP RrSG@4h*."Ok>kjEÁ7tGT8er?7b8~ijn).罼0oCH7݃'۞}6;(M ?ϡP4ܗ;6x~jWQ95 򩡏/ku#8¢fWFW0$=w}J׊y}z_6 ڶ5)'H'JuhړAJ4"}3=O=DQ gP$h@tTW k zic^Qy/^IMX! sNs "\nc&Nl+{0:r@wYP\= ]pGagFsYe$+"kM9xzsh>CLPA;^w8>, yXGY~ =TsJ|hw+ v XbzʳA?I_rD<ˆi{eTS{%cv ~A)'Q}k>}<G#-Fs@̞;K|rh|h͊V쭖^{ 7U>Gce\ZpF9,п; 04 }j =xwѿJѺr3:wG"d9TF"UGpIO0UFV NSnZy$P<mNx/5;֒=% C5uӾd0<B-:!/ڟ*C " @<zm֨E(U7 AVwNYhW$: >-9!_I债Eߘ^8ʳ K؟la@_ʃԉ=F&>WyM]S=ѳ1 ͗1//5*~Xzjpot J߿&LUhz>I`ax{j;D&#h4G 7mӟө#ۿjBߕ>!6Q-u3#wO#d!؇6D*}J)4B<$-kX?NA|EΕn{uujA9Y_A%F'4s읯|b*ڕ1?}aЇ /s}{B_o7rh7퍡qeKOǴa^c࢕(<^h;$ ?Loߨ(bP[ɣONoכzj=|LL@ҏ#*)h0?n:{[6̹cnܠNN5Ja@ 6liխ:jZJ9 F]H,:N51|c%1ۖ]=9\z=gv܇qF۝tlۭ<>/]hh˶}h?l ܊-gF F)Li2:DkSrR {״\hוl'6eUG".٣З"ݤEh 9F[*ؔgzDǀ+t ;quhO J@fUVFs.@atFrPʠ 49 N@xipBVb<*iT+!T mHH笶d7췛S>ڐ  0h*{#AeUuϣQ )(8Fbе# ,b "Nж+uxPYЈ 3w+"4@SBM7) 9473xq-⠼D1@A 8b~q !@0"|_mplS TNM5k띰̜ΡHף @fa,xD %?eaq=/#$ahʒ<qd!r/X) ЂpW[ a}?YJyar9h]|F 2(u~;J(qm -JLޏyG(;hn(hb %@ː@CJ J@!Z( O%y )2$e[7gzZ2dz «ky.?fhw['w?_Ӂc5J9҆w}ҰWgk_e󪖸pyS| T (1G</!aE.yuAY(vt$2 h)^q2K)GGaGlV΍e ݷvCeL6D0 0@V7C'T^a}|Y)ǩ"J|c{9>AF % ա$PTTnf#9 FH!phţSqhA?++s|ѣnRgOط %g}!yz{V%Y{9lh? >ލ:s ̏-<ZAΣ/@^d[u: u)5R(E(vfć6BiC9Y=b<=+_%]9 2[1$[>h6gy8MҔIwDžG< !ƯCshD_jqؗ@/޶/kr|_嘹QԈh_NN /$Kfkii-+{uT#a @ANA ,| X2oq!xUK=3 B5:?qx\>?ӻ^J_?Vvx}G 2aWipф1tS l$ }?PM=к!π•ǠS/`H 2ĤX߈2bz;о  Cwd0/}Uއ" nb4I&6m'[v|~^뜵,(NsJ+= Y gXvɣZ5&Q?nq3v#z~}{*rox} }_}x!w{7L2e̷TrO}aiw/k遲ϬulǗ9:*ccN =õ18VV;6c*IjdNB!·w '5蛊z4P8=gu}"mBhFU&(t_=˾\':`w9T^*cM5~g/D;Ԧifn-o - W}6EMPJeY9y<Z##;px]c<zm&ͺca Gc)@0C L}/_);7O ha[wځn+ JNi=ed r a[1@th5r' -(@ B9 `M7` lzq߮[6,~bˬXz+ǖlFD>Y ]sTJxwa*!p#i.΁7J+O#^`42/~nd #sqF?1aZ:Jy#B.%Y⎀uO?öd/Z`&T6ida A OXVK !/#Í| |Z@B.:B F(J J,,R t9|m +PnhfU_b$wHm`WG%{#҉=3Z2g@ʥG|E_=pњG:1B5oSaG'RC?2}@~e>uF 0,}KrDqauU T1]ˡvc~ 1ѡ'4BNL 9ȗ2@ə !BAl> qBN c#kpa<Ha0^I4j{8ȀF>i4=(Y{ 7XLsoQg2!!J,GQRU,j$ko=첏~Or[ h#%轇 kE8<ߏ/}] !$FU6 ;J?oPJx`vûi cc36pA|9< eNo@%9D{[{wH(2SԝcD^ Nr<gNBu:ޙ{ZOkAJm+4:̳t鼙]k[pɺҙ_ٿ~ɾǯu`ɚr%dT~zzf ۰ BcAƃөxi7ʢhJw@9 1LB]K4G%}}DĨEFDꣵ(JB J9w(]) DB2LTHDh_˙:>ZWB`I #Aa>R |RŔ1t_k(S%ĶqKH̠y$̇\%Y+zI`^|"Zؼ@FԞ۟"vb<PN9_n@3+>+:[&9˨vēa'Z67K;n?=BMл7f͵Լc90 z҇=NC)<{611f*fdcZ:\H3cyʇe :E{!B(z?x] Tc>P?Ϸ7̖u4p'{r(<dJO[f^;xC.i;z/+bS5_>$}t $#~%"'">pi w.g<-:W@!Z'K0 !ӨF<Un1w#X;a= ;' p L{)afzNOCtז0'6}Rl<wLQ%"{ ?Mf =G(7mdd-V#h1mwTv-pr\(w0JZsc?katb9i~m)PtЗ͕FWu%Nݖ^?(I9N >4ևlCitUk9[IA)}Gw÷'Ժ1h}[ӜXfrV-vF_o߅5t] :J>sdGtч9L]N\Kw^?֡Ry?C}ojM,R.@Ǔe U֭;`=Ypz$ߞ=<aɱwZ0;ˮ?ޙEcû }C?XBʑ s@#Ь'd_ƻ@Fj%K*5E!`U> WT''-9ܨ:j aur _݈^ ǡ7n7=+(/W*2XcX*1âmtw$Dw_ڰCۃE9 @C,TMT7R0ml~®M->߰}FE+9xK2(  ';?}+m=ucI ^q7I9aWO,8w~0%JRvҮf; 0WsFOA\EH"73֒O0 OdX4CT@0TD3z Y[]P ^ pd(y2YJ[(RH)Zʜ/c*5tSUP'g׬l؛0RΚ\;(nXRHZ|)(P!2Sd+tʅaN`k87",z] 53BƅgozA08?/5׸jLT%J C޹+ʁPOwuJՁƈx<JTz]p<y8<@ѐa{U V;4EDW=Zo%x8o/>>αv a!S`/#W>AhT.iB23S7tG?cˮjc0|\GNFz5{ жFtLCR:Mc w7 ]J@r622e^¡sF4)Gh<D1"#I:4ͱ3h]t ^_" (<9}ʲM*g P:)ЙXZ1Z1zP4إG=k מmk{~7n<gV_TPnpa[3%JU[w{R֥>O{5TH˧:A)PNˠ@I3P&Ph<*(+or\y.);""Pz 9- $+N<@B}^!~->OJq%8g0@!"^+m4ck>T"W(K$Pk3߯}8k'`0д=V"ђ՞ٟZ~ CD Z u #5h}cb卧(iKniZQ:T<X~ύ(}T>ђytT߁۞P^ƅi{NmO/ic6 ɬ494iOxXjxlkCB4xx,:!,9]qWX|'ϣR]C봿o=<KWC e 61g̓h>ޞ/`L^om w ܶ_䴯i9fgT<"P F眆b•e@is^i=Ӿ"’,!7W2h2bO(֊J3E55-Br깝hmhy"zzt C>D! *CJKҧ;vOҷ) %Rи7b$Q' #GDX'n}` 96N9Y4yȷ6Uܴ†a6})shw1矹qގ޷lByGΉE[| <}GgzYs| ڟ*ڭJ (`15ۦ6E[Br).ڂAw%\sh=]LA'HjZuObàG ܻff-=kShDf^a GuqN?:xV9}%c;ql]S`tMv <;ֱqZ6n_Txv |n etYRΟa?ok)4n7WBԙ_no؍k\GљF|`@CwsmDN&4x>y}2!}t;||4+@Sր/j45,4#_ה Z>( .E7gT~Zjwrn@^覗~|=B7:ʾY9u9е;ʸ=Zu%9M/[mC,( ;@jFD>=gG(%|VwiB ƕggM#wGtm+1DObƱѢoK9E8!%_AO6kj$KhJQV~ eׅۙs|괚0 amA7d ^lxx’Wx+ǂ ];Chk:pN°<pls`Y\"d׈1G8DEҝE՞†k).Ѻ^GkB(?.Y+*7PnBh7]oKM!0#R9-] U9&Tx#^ž$T-~t-WЀm .Is֭%= Q Nˁ!GBn0yaPon xUFSá0BI* Ý2" ;¶i )ySVF4H2---i#j/nt嬴rdO o0(609{Q}?_I> s R½ӆ\ F坮 ZYZ QvhNtO(Z˾ovՔ\9r"5uL|ѥhgt _-`T("Pd|!ފ+=Jƿh[4^k.}A#X|{r<U ٽނOك;|}뛬Z/N={>_7vi t~D5/M(Zk<fwZr }YQ}#xƁm9L#KMk*voD`GiCJϳ(.d(dD;/[8cM*5.hRh{+m]l7Buˁ(: `~B'xD VCexCEw6=nms؆Q[Q%j_k{Gg.[Լ?{t+wQKMl4don=~e7$>;3ǘcpAFs0a-=geo3~>xU̺G>!.+ twoDڠh;}]%4 _> },<}@Wz|'%ϓy. 7C@FX<}/cy@qo} }N38 Pi_¾9oCϟ}`-S&ЏZ-@S<=8DnKhmyB|FpꟑUI^#hh-.зPCx*Z#Z%i h`٣"H?xq Ӻ^y>-F<rtOw;81 GGr4BucBt7(Ƹi*Qt0ZQgn3v^<pjњ׺3V\w!絢O2A[*eR͆AmW<l^fw<qc3wOKL%M/@iv~:zB;<JI~hQ6^{nyHڦ>MѴ0w@wFO!NEΈ:;"#pĽf/غ&kLþyS@NmG|Z%nH~.s *}?+`kYxH<zll~{Cݲ/q;vo'ҋ#'͚]/@;UO)9,}w$~,KnVT*ah|UsZwA#zMk;rhwwA֠ƭ9=Zݟ}B|Q?sh[৯};"HP{áEhhIP2, k[  ʿpl(eEW+/@˃߈3; NC%$8 V@Iv%`0l'{7l(B,JX'l.XNm)JOkPER5 C]K?A@9FY3 ^,HODT*nӃ`v4*ꢌ@'K񒍌LZ2]_*1X_sb(%1@2!`!pecJRH: Bu9z+!P 8Ot!,)o)憼lc0jJ1kwa;xBGVض.e(CC6: h\ASCXu1 5t}=;p%e?HV%aAʇ+AXx{zBxF6{x[<:ޞhp,> M?#y!_phAt"P4=|ͦ+6l%T @}-UɊ'} VY:iFV޶[F D +@6́Mokl@߃?\j鷣w޳ C~ <潩擛.Zַ(:qoaѣ|T -Oz͝6èMJ)s8c#V^DS' A ,cYGT5g]<]Щу d?7D WC#B%zcɧxEQ]h ^%Zn^Bq ;Agsޭ{]vgl:l2 & |Ph7SϷ|hQ݅\xK :I]Ѽ»韂UsDhɢ!>FAG=)xӫ,a[|=L)>܁GW g%ss?k@]x2shQQsCSPz?րt_-)y~f ; ӄh:΂C{ru)*%B`b<,?GAnHU(<e%_٫wcH./(#O'CA7vv=磒.m'h_99zxgAzN#FFWK֟\s1~lb`A}o 5\Ϡi/ӄ‚YPG0 d,DFzlQxPEG;QH$xb@>̓c!hN{zt`;fo=h3-׏NC5~a ZoCrzVpzݼKh%3 }K~] r`:i_ ïeHCr{0<rz2a. ֝BF|,>yڣ>{93w#|P4ȟadԐ@=}M9?4kɵc}^h@އϠ}E7m9?a=L޲deӦܶr_ x>ځB_/CWr\=t_f1TӴw R(v":Lͮ?贽Ï19FsP1"`EW!x_x<O  ՟4`HyP;xߴgzl|%_s7J?t{Zrz ;.4mhOG t :w峂oԃљE s:O(ZL>XʞTg.3ӴcȎ^"k\gѮ<gG_v*֌>cO95>.&>#%GWh-ۋ'Uv#wlpMŻk 9cuZٛ|swLC|!~*vMykm%|AA~&𩋠ȡ0FX9A$9 98+)<Dpe^O~sW]FG$FD>Y 'Fek^ V!aPط%:dض`yϠқ+w`@B#-CBna O}΋ƿINj0i9 6<:aE^ 2JOA<clDabu蚺^tVhϝ_dcTwv)QRY}h}p#C .,`4=|%kd;;;>׭&wҪ=qn6#Ԝ߇ G#rJW xu#7J`(a4ZP>J}ͽS?OkIx]Iz2lV\[d4㺎ЎUjoX@:^QHy@H~|N]Km1w@l)Oaǒ9%0ܵL &-]^,$W{k%eDoS습h c_#/li:4ywƾpʫG%UBZP:P5̾|tawff|[XS%O'}\}L͓Bi@!,Yt…0B,~xS40eqgrjoȷ]C69<jW>ɪه&|r(}((ZFS'42y? 1rJAu~>RFHHj s~Xgj|qY3=v]Uu~vb]zj꾍^W_ŋo7/>0ɀm>"}S'\zN 64~~~$טPh-ж+>Q':Od6QhCK=/iT Lp|(svB_6u١e|}_ń8CxF q-{r҅m@r\ih:Mm*y³Yر4/Z/XV (h_|ytV F5FוYGcYݷo{6C5,vjR %r(m֔-oQDN޿h cw~:Bx>ޫZ%_wO`[ּ;A.Lj%d35Kg5^[|r3Gڸ>}o[H޻A+ w=> FyrD'yD;97'D!:ŕ#dJƥ9H|Ɋ^O7l'/Q3ZC鑽߰K|| s4ꥹ27+XmД.Ql}+t.<{{h#"eC}O;u Kˋ|c733 _NR7ö}gܺcx{y0'pR4d*c/|KKLNtV0H)''~NWD!h^(YZCȲKGl?M~hyԸt/,!)Yܷ*m.X@ 5 V i_I0F[{ZJsq >0Ysv{>4lCgR0WU뚨# }ؾ*r3a7y]6(׊4` yg'_vz+}o&»| cs!D{xL9DF!Ô {wcrƦlm%}z&?^dko-ppe4աO)vY=z!tϋ1UH)njdm.l Fku;oHN.؃1{o?C^.t| j`Mv=9qF, GJ=̶[ʗ/G>>8{lTߘn98D2g@kmh=VT7 O:}p?Ѹ%b'e]wh=C/ ZeZ_'3{i3NOJ/@i }{8 XeJrnFD>Y𕁺2z ivP>* NF%L#20;bd޵1>:v_ۖb0>GtR|Hʁ2 X iZn#h45,E2)2I)}9ܑ5G(\MjN2nxFx0C83;sc(@#q;Ǻ8x:<IDjYF`*:RJdr™]hH\hw_;RaI)` lw2Ү`qLeHU:>}'([{2>BB:AIdlNen0;v߱LwuV0Y~x?Ҿg23<۩zj5n}PG(()gоyPN&lp,iUe,_+^_.<d}I#m[ ekU(0s8Q8-DНFiMr&**шbIDB_YC}>п8> z&QF]0 Ck1`3a[}ƻ26fS(eAa_N<JAt0Ƌ;J6 %(F?([@(t lԁ+;L)#Y$x97COp1:l681gCvٕVhaW> 0<`A&%L^hy  ԍZц=htK t^"E~e> /P鎮:?PIJ-ϖl[} hB%h:w֪yQȩd?.W"}:<?ϒ m44)~:h<-l\[^搻Z<0Gy'eʉՋ3Aך^wgAguLm_97wB&P׿mK6>7g{^k#g,Daeh}߃6֝{NnqќTv*/ׄA{9190BVzYBa#㶂r G(ibem|V(Ss(@5r~pJ)V{(0rR(~Bѡ4|:uDN}IBTS8GaNyxRoMIQA׶1҆Ñ M`yvlo~ס6_v/Y>oBZS<n盚ʻ8''}_4/މQ :m3iw˾<8@'H!3 ǐaH׎ s{9]@iҠayPJ|ioem[{eeVX򟶦Qkhc^ζ@ۢ,&q=%Ҿ_^ #y 'KTjC^"K@eddtD b=meJ@t<gt:V\ܶTe*k\sspk7Fv_ڭk/֬ejwJV9o~Ȗ4bS׳K,zؾ"$ ;`bNߤ?k*2H:II+mtLnȗ++[:4Q yelݺ^5D9@Єm'xy{?.R* *Cc.o 7h0T7F5B*~gh[>fW$ doգ4+|1E[ۋ7d3ٽ=nL}q t}]n#²|WJih4 =S~:#?wqrvR+%h ZS@ivVޱx#䔋<G0Agt6|2sR\)tx2\WX HO:S glbANz<mN֬ c<O~Ҏ*slFD>Y 'F"F7M,[Q}.#@FA zHv Ad UHiE/~*[y;(Aǣ B*J`D”#@ Ea1R"\@{D(\ߦTP<'FؔVwa, @S|)xFpzLн@0{8L8_vy'H/!FFy7Os4%LT>uR]aN:_ư[v=}r΂fl<j)oo~1!䤼Kap2r`Ѓ`"܀ӶʂJNCUP~ECٍ}$7%:qzQ >–m7/QF.x0ֶlmBb~r^tp'F`迡p!a2{zd8~1mK<^,?Gc{|lI'9 B=BYEF>i_5%%thW?=(k5@*qV#[u '!مQZF(7aF&@? 7A v?p#EJxs#7m9 TKӉE3{9Q*Tgv!?2cö?(! EfZ3v&,F4!@qG`kdJF4l{Rm&n p%'Fm~ҽN= H52= }Kq/ HNHxMLL}v,=S]=sh>ó8ʥ`sczFh2E@`@G_y.0կA)2TAJAR/6yu[}sb0/ƱUexZgTxTǪ<ϫseKzrPs6M xaˊ~ cT>U??&z O.Dz 67چV'%ڶ _E# ѾYЂ[Ժ|G9NlXWrzPN[w?C\/9 փ3:S/yUA? o' }H>9(Z_.ʽZnl0vEМu :Bb /ƽV6oc5]|i9C%hȸ\QEIPz(d Gl?>];~pZ@@ C8<hIw^_kw}UΙœ0'L^Y12zgM5lE}&hdM] Cy]A׈FNlY<Š y·sCmPAܢ7t>Me=xA1 /2Ƃd\b+Oc4<_ǖ%#t(sBPe{/ jb_Es^|G:.ѧZ}2b摕9\e sܓKܻȷ)~Qxx*1e痹9_gP:HRsk{6[$mD./[2ZUڧ)BOO)V_+֩h!N͓oZi`9 Id )f݋Zu(k]MLaۿ1}u^ 1 I/%V~BPk$Zts/eSVְ"096 rp>F݅EEH$lbxv^۠}PQsW8oQ>1xWoPt>:I7Ok|_E&`GF__h]7i/~_L&y I[Wi{}_wOcүk{Mb`+(#~KAw'F0~y%Gɨ"b^r "ו!mG54*GtyѢdh:w[zn5xS{'}RXl@Y9<o~QjK〄xr8 .90>:]/Oq(raj=7"?^s`D#7"UPwk4g =)rHٳ~0#wHab/ÁSJ%E&k<q>:Qx1FBAk<GGE=:h ^5}`z2eqnFٰ>)I) P7ֹ; "gPg_ "J1p'Cdۡ9ZJf!4Ēa[:BL]#ILx20Bmp!J*>q6;gOvP+R3 aGptbdkd/aD<8 .PuO|dThJ)2dfJOrö @JI/gu9 VuOա8ԏ@@i18 P*(U0W}Ԉh43zΣux̺sUӟ&f(΂V~%Hk$qZ'k߷>ƄxRڻe?/GIve+AJl8|ZЄZnV>jM!SFw)e֑|eB!rc(BI':u^^TW^[8 Rc*g k?4O!-qZsgj0My#ϴqr=|Aj<R%\pC#e8_w#rEAB1 /Ȼ P/IBiQߨJJe9c 5BՒɴ={~W~zmr!GJ/H@!!=йQF'>$-UXq[N!.Q<Zwqa}6vliָ悀23'Zm@wnc<Ծ*Ϥ"/X'_>zV;;ܩ9i^hd:F|\(ڴ=gEn J|x^~},9>rN0`ecƷFh ePԏ ;fQGw; =qP9,7 L[yU66{ ٖ!' vi M#tp2#(xV#G1h9|f=ԍkN$K1?QԍxL>#pCzrBNK;P(ʁ}ܲhJkx')RZ(S˭Z~Ky}u[YG,gKK3hL,/y#Bp/>9Q=;5rg+cE7~C.#(T^uxFHl05m(/QW#[ޤExa{ s*SY^}:S<e.r6B5͋Es|:΁DUTƚ;im:,{{uO,wc`wl״J95ɾ@ƮA2Ԝ fUKk`>-C˜֠('F05򟠍gnG߆PTnM6оj[u諣@W:Hqz^U5ɩU[#PXnٯ$׬H֯w<hbSyGNpLۺigy5A*S>7,Wyr"PwɱRUɣs4Mrvb`G/lckʖmhIyY9i--{p%uL!g(So״7S]6OzSC݁Zya%_w6W 4Q[f{ng(c sǶ8AosȬdP;U/h\2lc ]˯_1WE#U3K$cos2ҳy7 @}fgAÚ#<[ < # a{YPBwp GF^%BRgv}'De R|9 1_&5aRbTxC]]c F LmaqS<̇ sΐHhd='q/OXő5=1J7qZJȱ2e6((2HpH]UF\ipBf󶻳kTyR0j/e"9?Ƿѩ}g ~@8u`0FGpnhS1_WmU;Kk0 eu+jjR[@@;+bw ([)`^Ɖ-u{nޏ`k8} }!=}=¨D^m?rMgy9xx>) w <hROLFzYla0t<Zh#@K.Q37QQ55lzhvQr=m6MAhRQJ*k0ɍg6.AuǪ7t-G*u49-dȄZRjzFgQ7m#yaa >BH_9^SQBPa% ݪTέ,!98y^SuDm9Q">"W29۶i2J]*eϟ#(B)5~*QJW^Iw"BpO@C yp/†r(H`~ÊsֶmHN_Tot |m9 @k!hX4"8.F5"@˫c78Eߦn^SXsTKFEߚݷ@`fΎ]Q4<a(LX_bm~knraޞ W=g"*|~{r_o 5( 2xum$EW0_@'Bx>[>EIFYRg{BiW|Y͔l`<m;(3;`+iBGQ|RSв we?>v?SGc5J(x@35'U9#/5I PXETdS ?5ߖM$Ż/fs{`=>= 19݋'J]; eD{mZd:GexjjF? ";# Mxc=Bϕlukum3Cyи GyAq<y^P_K/bځ @݃ ]k ~ڧ %۵%(U^~;6a\Cy;Z_ڷ4sH\׈~iY.]tkҪ?9 Z{mٻV{VMK@ h[i8(-ƞO/Ѯ9 W7M2g BFSAeCh8mbt OSa e?LCG/)b b4 b9,8 L8r"<2rжGVo{xD?DA!``y+s_oƦwvw鷒3sO6*6wYF Wz2 Hp$C9 @v :'cgYL%Yv "<<k{fov}Kԭ/S֍gtZX,R#JFy4F/@y۶L_|jã%왲DZ*^s'2kF| > &.! vYeLKsi@nݞlڷu+oڄe?8 P; rkx2ym7]' ^7E,R08zSD l@Mvca34tb3I ͻ`G  JoQ@H Pp}_5'S蜗20N`Xm9 52P'RJ$*@<G ,Pd-`U8Wٿ_-~~\#,`;#@p KWH~#p+~n#(@#tm~J) YcMA L3\h0Z1O fZ^uC#xA!ee=uPB?w>>sPE_] ;;q 2݁!p9蟏p<H&fJ1h;3Osڻgw?OY" /;03qkm-y" 26Lej(%Ķ_|-"\4 m{mzϵ1F4: F5h04щwM*d9eIJ0wFh>m^^twA!Â8󮐸"ǣa;(r rȹdn~g{2VVYW;mo 5H)g;sE}R|OF.XW8-g*.oXeUan`0 %w,,[(m* Wh%: !ވF0o@yFy4:5؆ #7+}| ߘ^d,@'>Q;"-'ھuNVm -OWY]h?oSHF,ی|i4RKFS/Ɓ 'lcv봯Ux!1/[{~,)^Lxw!9^@c)%֓@ -'?6/gA"_~kwDxo)R]_;oxF K1WE:5F G@(RW?q:rQhn~a `u e),r/sɔ?{cC{C__M7]h$: VY[wl"./]8Χ"Dٹ5ˢ+"}Z,[Xmye%0&`LG@t 5UF; 4b< =O|ppȑ[R{L;oXbI n^k?1v싦(}-xF +6,30i|CqY`4\f7m8];-d?$'"@Ԧ⊷Ky g"i#65G/o%A]Oa 1 TwY Pc/# !BEQ%ު"9s]VԈ"1 w,,[:_iwo='/m<ߕQ]ʈ-q? tqF{z&9 "m߉Αc HU/gΓs +Pȿզvf^_B+tdҼ-“<<P8W#zj9g h ]˯wuqԦ^kS9 : Tze9[BWΣ."XՅw_FD>Yd{< h7mib@vsXnv7[0*9 &P$G5?v KWmfz[ <{?a8*yN1myϠX9zn<3Q𤋣64:iC#L!p?Ř@:P\S0 *"~DHy#8_Cn;P)(S<FzQ 56!TQ8ڂσTٶ6m/gA*[J!cc u]PD@#Q392샒/e^|xvH;y"m7qϽr(';E]̺48Z.YwF;ᙤhh_=? FQO^:Os ŋwY F4(u?wM" ?JQW_"8 P,S#[6S:+kmL6^}hKX`0h OYw|?Jh#K D`PFBdzl!"J!` ƀV4~iv^5WxJ g4~ظ/"Q ѿ"4:$^JtGπ; zmsfK˞LGB9Z!K)Q|ayhi BMA4BOh_d 7őO}<v::m"<4:c'mmmGI߱o O@9FAvpB~ x>}h;"dQ.BQ8<_plԟ-.ϼf,4 bF{0,T9N@AԽ՝[email protected]/p'gp@pz>U}&g )YU#ɡM?縈;r֙>rmCN@J+^+ЩMSƑ;B@s~8`CSE9JĬC'ƄF]01A  z)h~r^9PFQ.l5ԁPWt),C2_^a[A-/soEC_дBJ0lԋ1SJE\7B[eب;^u:i닟(ӽL _9Sj>7 ӇFK9N>}Km>Q,ofݡ>,T&O_r}Edƽ}n_`_tns!w.YiR[d6o,ϼ}+ 4m~I|6 ehed0| P oD0=yM'k+GcЦE΅#{wMˉ@#Sy}O흩 `r*[?C.o@vCj޿" 4,l-ðƒ}>:Mb&sc3A^F59v}:.z%|gEY0J5VAKNL[w=yj}ESY,V$A0h Tjʁsh_}ˬ׭ȪWGh|xy:<)#*8 HjM{$Mŧ`;<yiJfa~g~~7dN> 2r]-gX%xBu7Y>C|,8N8V7*GrSy9Xm .,r~jy#طt=~WBrhT?2?PoD948FB<~Q]Es6^X)-zT \D]j#~#",3@ P{/8 a)#,^۴o~=8 \k* F8j{ll\jt͵e{)xE^| ץ AR:4W8: o  C{(ySeZZ+!&25kcӳ608Pذ Sj t:fe|^39[JFódsdU4~~0)e׏ECP<JדpDB1[^4 (UA"LP*77lyi JLʅ?u MƶH Dځ^8Wh LYQhFRS1w.E c[sPnZZR0fA |1mu@"w 3B0gG5=RήP@읲~rH!R[9v| ~дچ2 !䏿Mˮ[rh><AӐ0d0Phh(K.T4݋? MÏ@\TV6~ 45X:FJ ؃O^w>@%גRtKAhh>T縜] gAWBf3y FCeF(1E) w>J2&({r%.¢MXi\F{ћ)Z"=X1)eI;|j;k?M7m jGtn?s D4n"GYWϔjB*@CX[Ex2(zOYh; "m._1 O֝!(q\8/: P;,hi뷉 9.<tWqm% E_ ZG;ϻewO QQP(ɟ}ΔySY[Xٲ_ٹ2 in͋eG )v`pk Io!8rkAH}I:t9KC==rK{Rs<U :G/4RZ C}Y[xX $/^y:ʐ/9$? rKN: Q <4@Ha@k Oi?"WVyt,5 Ş@#KE SR^ԉ6吔.Jrh48> ?-4 GD/,дJA \ =>P ._"A*|/v@St4U !|} ~jקHVNߵc7}~vl0Y}GYeQ(?YONIt/;^~M5|z yIa8XvM <7m]?xǍ$|AHclQ F68Zݑ;,4MBmn)ta?G?X19~Wk@yBރPXA!h?y 焜 Fώy΃LE׷e+ؑCG+YEQzsgor?gəG+VN>Q֋S|4G5ԣm ΍8:ONE#4F'(Os",("k <Iϣd ,o Iep05hQ8߈x^#A{6l,<G6=elEhp]+YzlsgV߈; (; & '=b6PTOlE9 rxz)#+).b:#Y^\Wt h`䇑A%\~z,p=@Gitn,@#RݩQ(9FgLmAOyP& u7T, Aƽ'7S}zk$kz_?|!c4^mKW&~)W,B<_\s?R?Ɛ2S5d-l2aiڰEIb3 Y/?V* C=TCw 2@_ۦ/9})}U<9x;Q \ZH ju7|_Ɯ&)YJN Ad} y!%aR|[ _U]}ۏKYs?3߀Pw8y6Q?OqP֯A (BCIK0uM9h[(D﹑D+Ў9{w1j6Tvb-6ipq;Xq)(Ԣs%Ai!ZS 0=q;(ʢ{ߤyR (>˻/l~Jп2s*q6(W 3')D2U'flr:iCT85D__ZK# P $BӛTjx, Gt.\4~. sh+_/2J G@,oٿ,P_Rҵ[@A)zް>;"S!}t.|V)ṩY^t^ke7y!BSήw~=ۧ9 cgE:0§eh;OZ\ݷ!KI!01hpÒPj|6_%836V,P2r?NЄwfQ֠M:J&/xd{} }CTWmqr,'(I *qEHq߈Dak*m ,h&&oV7y/OD w$6Һ9}IMCrNj-KB:GTEw ; 4g,; mϊ0gS9rGgAO }=W`;o`?~Wx{d|I_@2>+r%+]^"DѸi\9E<CduNY EhUZqW,ȉ!rDI r"[h#_o{ OUi`qyچlt4},P$B>|hCS}UckZjZ}~hU>dV8PԠU[yϡ[/{_䐃fV+h]}<%^yQ .BcDiEoôuMmp|F'5`5hd<'7]y^@ YKgrѩ2dɾlx 9 aD]۪?B_9Ou\wLG1]?3jOYbR# >x}[oۿbЕCr<9 9B玬\ٷc79c :Σ1ɜ:v^\ S%%4[iE+jݦUȀ$Kr2(k^(Fz@S.2GisMC7jϭu3 -c--𭐁o,вea"PyŞkYEl,l:mn8hp@pubAiPHhnk(tBjc<HsS<y`ȟEFp<0%0u's( G@\Ri2ā/`>gMxmԟ ϚNmw@2N:͵Μ y~hGXO!syV |aԈ!>η'[k*%&.xd?__/oZ<ƅ,Nbx-s:Z ®n8N X/8$(B͏:|:+ҕCBPR8B!}!dzzsy-jQƅ7'Y5"lICR~,pcnSh؟\=z» א`= ^<8q?]1Ϣ'}>^ans~ :@! E #'Pڷm Yt瞖&R^3 G( U}?>L?\NPy# 6}Pɉ4#U׏PQ1h{wtE ѯD>!9VH.J ;NDUB?!O|v" At0u4z=CP 7]4,Pd_?g[8 ]+[Q!E:p:?-a h~Vw*4~E:4 A=-l`+( %7̣5: >Y]Dhڕ}9*TW4z! !Zoot ,8;g}-3{VqD '^DE-d(YdG߲J*64Y9B6{yw; (GT?9̩J0>lH*'H"e_V@=L"?3L& K4ce6Oe+bO {]O2|C-96%~==Ggwejfe <_S e/J|kpj<̑YZ~{i~c]Y G#T3h} 9 PA(|rԝ/_SD[;,P45gV|@!Կَr>N97}@EI#p䦁~ȂFWÜxсd;Ӿpg<33, CǠ>ŀ:h} Ox(0⑒wF,Qڋ|ƲeS,)>?YS{ ^΂A9x}9L9ޟ{_}{WR4 ^=|s)8Q'gb0Ϗ1m!Ām__|KE xul YmQ>sKG#!7AcނF^#BN>@%mH/eH(%x8rc%偡]ʹj GkF,(΂Pwԝӥ=tENe<6MF)Ѯ;yVWWZ-tb{Y_׶gd/slz#8 @ʵe9B4\et.2%#Ύ 蕯 h<W\K VDFufl5R6i!YPGL И@۱.1# cʉhv,>gEDzm J"|bג%t≕_Zak߈3; $Re*++vpxHgƀP]ӏCr|l~ Q(4NtFA^a{<lHr8ث|  zYW 0P+#@93 :X|͈P}Cri+!0):TMMMȠͤTm2=oeF=<pA`S@I|h~ȏBqC=ʾo`H)O=؆-!^re1ȹyn@?̹@]XT `>\Ycaϱ2<;8N) Y:~P@پ~z ,0P4Dhe>TI)_5b*#!/ X#t]9DYY @ڮw%ǃ zL͕gvxz~)Ln`†ؓw0@Ҿ ˩YFÏlzFP'bTh}{G1D!_Hɻ/G 1yWC 9F'SW>겒-z8eZ9uו.LrЎ11C;81eeY˒R3s̨Zeb%={󬧪ԩSU{w׶ Xy--]f<V݌[+Xgt)$B㶳Q?O0n!x!4U;MD[󇩃%'oWMJ%KT{@;8 hʂ]@&f>7b zpcԏ5b&QYpȫ74ҼEPOSa=Um 8gv}ݏVaMS/]a&ˉ^ AE$ nu]<N? b-C#ܞS[K̶[L>ޤ=ȿ>{FU{y}?.T{MDd#d>AWj .}` ^xZ!!g=R{SP[0|$f~e/qwT$dEu2g ϙs޿t_:oRwxW=@̳= &Qy< r ҏ"$}DJ'W8e>>%Z;~xBf;v]'( D'3eQE{J@d9oy}})H,;E~?QB/MQOTهNYp1\q4$F+MV|ys}؟,.Y[c6,'-f tk"XWʖ|&[aX]O i 4AH.OkS8؀S}Q(*2k %zv_ r(pcj$e6I=u& Hu͠)ւx'tl $9A>S:MA#J TB?EMvxG^#37xBxۼoB7G$"*Z':^fi=3?0mE/rQy0%).ޣCg_vĄ46{pSn:z&e5 lH}ehZA aU]cHYh~D#޼R;=b]wN/ڷYDa/$iM׊Jh8PD:Oobdd?Z[[QlQ?W_} q#<`2Zx~GA$_[$6)(Oc:d&T L[}tȏ:rV!H=d&RC!/o{hѱd3(v(_H ʹ7;U=D[}AN)"zv$)Y>E]B~a X4uTE`j-(3ɼV9:_>WzP!7}qeP?_|v,*rՋQ8lI]JC(BSnwynv|I ܷia(0l'HXiO,0EõH]ǎ>*)隣Ӻڗ/%\thɀF_ (<܎jDcQ59QC+5~QtړtX4v@@FF +J1N| "u-SO:y},v0lyΩBrxHy@!NQ* d+JT)$bAsxyH<mtrZaLG 5 3Hf8|...`b唵5@oF'|}}_IN~s@S0" ̈Ϣ'u܀okzV#rb ,zT)waFDF&}~|Nx/ܪ-EMhB4MmT $hQX#Xt퀭JELRU.y8 zZHˡiΓw}{2Kzi/z'⠬ M§I:cOmq?{hKþkF(5Cg{񝇸* P < *@Dś6syf>mCM,ʝ T4 f\:vGt?F<֢ZB/6ҧENsn;LЬI(<&R:/)WL9%Ff hI7:AYSAYP(qAS_CgYӴ! >@ݯ_#՗WTp@vBwy\ϧ;8uY|v,=Mm$ >O#BV6D ?V* s[wXVm0qӻq6:nu\3 ܓᄘ|>v+PDyu|5M? */@qtD5_ȑcppDZ_$)!EjdmfTQq {$|x =cpcFK "AG2*jR^v3ӾD[g@L%. "=]H>N~uCB刣އz46&8cOUԹPKoSoh+E-ABN9I'lگ]~ _>pmF[NbGIS 8ωO[SiEZ vd)aP4)BWWP-ntߞPliG0%a8. v'Go+\"vPv&@>iL~$EM?=)#𻓿}] k9s+g6ŶGMHSFL@cz7]" b<oFxN鴾ct=1a7kڥm$mL/mmrP^B}%/퀮/W龖yz11ROk$(ﻉ>c7͙>j8'F}ڔQ4zB8z 3vmS# B` \}kE}.`7$N iOtCBU`Q(oD}ǬzԢF?`,?r_?@~>ɾWS}OP0Rt!ύuYK)NFY ?Y-nuuO}BѺ6o}}5Pd1։ e2=Bmp188꾦 yoJ7b``?~ DC]૆GO<Miȿ Mm-Q("nk^s; \}~Wmkյ]^zynHJԏ4}^mV/u Ihz DгaİGKm~_>AܕUa<SaDKHE Z&`"1C;)ۍ]Yo: U qbj1kU걓ϯڀ$o}Ou@ d^U-c>6FBqHvH@@ .g7MPوq`dxR -~CMtki@PD } :K9Sw3$-K~/M2k"pD0'CS4ag߰Ya8-ROc/OG.`=<4L>$'DYr}׈EUOb߳@4kXb99:&%+X}Eb4Zk=Vjf"]=>6d5T)z&E 9d<ebk?: ӖCoQaTj#W-ϝ|\AC"$dVw~tssu(o7?A)`k@+xb cl3LnF,1uxhȈFG)&}ѓAYcƄK$ /=غ42K1pzJ/tk4vX++xF5AUT龂h.MɃ10< "oJzٯMJL a oDNny>iP@UQ<MC4Ji ʖZ|l+\>/=NR"/]Kh7lqGO7/1zzN=$ZcށљD" `d狰ʶs SFe8l,P`+pÍb`#j"*P:x 5kK/׈2[UT&I@yE&qVd.*r -k%^*P?cg8jQ[6`xdp4K)>mtD&bY&=Ee|ֺfM6E!?Cѿ7Aӏ䳵|hA8+P/%h$<y!uvF_Am5OdN;b/uه&/ n~'g!^L'V*&*4:_$1 +aS&2mN$[LCXfVB}`_*aE |wL?9X&F=le{T>'OwXY'N]O5Ⱦ$."Y 4 0ѵtb!O +p ``!A}Q&lkܚ"&:}Qd9,hO_VPzc 叕Y''~Y %F4ō'Db lp7mo:s]HcF#aޯ2o%!.9k|f']'5oϔUQŞ*'\ (P}o"xTTˢ9LAr&;#WA\r3i} uN4qxr>> % }N0C W|&-zy]ȗDFHz]+C؝=AĻ~u_AK<x5,rPve Ihjr 'jw`O$|c"A|gt0A lZ|%jY$ZAaoL/;% Y`V](IB!Dɳ)>o5Cr];X+Թ166/3eES1-7jQ$ @m h#K/I% 4ϥ(K@e_bğ[\n?JH3aޛ?)"~ $Z$mɉH]|}$( sJ= $I=hYE-AqhE\~YƈwQ)DqtBƌ[F?#iHe}ca/A=!X' v6D_vЏJwN\>dݟ,`oYt4|m`tR(X `9$ P #t"44"-fC\s=$ Z>QKjc"cCc 9VfRȔ@&1o͗os`h-P g.C= D8!67*/!u(*paDF91TC=Lbs+klbo/'o9# "c{7}s~Gurl ]VxhGm&&cAλp]!LL I09D j#&P@DdY-2`gݛ@EM^[)3rڪaʙwx7syOgsr?{Խj5R{N ?eՇoߍD[(LH9xoxHFJS ND' C'4ı!fR <"XϠ1`4ҀL'u?JO=׈z͡8:'E;I6bv}` ~`4o9IDΪ")Piܨ~iLsoE (.&< ,R%f0S)0F3-ImGhv( ;= *`H%( (vG' dqϐ%7̈tRR"vAcOXߘ J%&hw .;k[q> ~qŕטJM J`[0f9*@u?,ف-Z<QbM@mvD؆volFm`A _("*Vm9iҜy!:tUmOKahjRq/)K^yvpMݒV4i$य़UFV63T@s ZoP8.dZW5G-C'0| !kϧc"=) 6&7V4!Q{݇rH|ALP}fl.|L #SSRdY<Cb`l-A"?izwrDz˚^`As0\$@~C'1љ.Xߕ-*Q(eEBw>3E`P䠀$(W۞ 19X`Wzo|1\""5 A,jL <lO .2# 3dۍtja<r+Ͱ S-A%Y<YǓ|%,qZO>~Oδfԡ(K*R^,w()\An캍,liЗ'ۘΉc7'LKge-g3a-E *څmehRg0G]cf׹8uL8tn.b`lgRJI9HPjppAg $4 zfkU'I@Ȕٍq4FӨaG@,44]4`Y>R&ZPvyioqmz PKw߳VBP"M:n2!)*v<h\B`k|F{ M7S/m|<_2kU7f qJ4;t(mWR:hE6,f&5,hk-fd?UW_x 7edI̵Mǭc}+p`<P =bTLG yr0ax+>mY4nk̏ EIg#* dGyC(*5_v?F_zǑUqCP"'F J=ؗ}}`Dd=J(#~א.ElWL NQUpzsD^NTwGb v;i>pA~;~ M,`)MefȁF 4 ,f8zrJa\?SG>3/׉'Shs.0BNJȴ ǭ9W&J" m̹OBc:J~~Oath(T(0ALV@gqs]֬8DvS$2KciS$7Y J6d:[`Dvjt q:duN(j@4{[oo۬׭nA@L ]dۤSL#=qދ D#"arʼ/Cmp*HQܷF "H,rdȽg@  hm@kߩc~6!a}.Dd`~@z{ lP$NJ7\*EVo'?w(2Y*{oOyҳ5!TSpX0 *KFUP'[ h$ !o58<|=:'t@zI}t9u9sl'Y4ʨM(Q=vH]#pS_9$is"44(`ll ]q\9c}g>h\{vP/Qȑ?#ط󼟢fh(Pz9A,v@`>ľ#=N\)$W A3("A5},oh;}VFDMJ2ߙK``*J&iwE5,V) ؅$_< ?Sl3-ҷɁl(0Rhd,b\:kFRIBzѦ5am}tUA!{nُ ־ 8oQtXE` 9ylHk dAbߟ Tj /eޯUЊF_I$|:QaO#pf &, &E؇HR$xlZ@#=PU~Q+*(tE@Wk6N0:ofچ)clPkɻDWp-""üHF>=zx>^+rne; %<C]ݏ~ ?e/BXޟﶃQT(ۧD6mgxz(@Aab<b {Ώqi)e,8c[YB" = PhsN_;H`n&& $LM}wxz)W}^II5.]䤭3XHz㽘-EAfe(g|<ӞfSwt݈'辂F̀Ä}<>kpig ~4S|&JhoYG~N]|FԕV[{I`#i  foCT0JbOl?_s<F'ߩQ+*2np"G$]po{'Fǽvwfj=@֊|<l$u $ĻDnjJܖ^BY49𒃌 ̐i;Ļ (@`F':f8h"~m#|-x瓿w?<W=I )9),WhzK7B[&R@Ju"/"-"vgb`@d3q}N<8/8\t |̰IOF{(e Rʹ&<,Se%-#ɧү}se|zd+ģ iQFoR's[To@b07XlQg>9~&?֎aNv3F;-O/<K }K`889o :W,j9Ur3{%9ڈ>G: ʛ%M:~a9SظA[rs?Yl;`UW?KeQ]k,B#eXmho;oim 9 aсɑdkߤj#hDo€y# 0X0Y; uDīH/&:*q"0} >GdJ#hTT5oH}}~S`}&:SbG1Kx-}NW)FwCFU@Vʹ<6=%:ۉ$ӈ &A:ZVthtq"XMq/ko5Kb~ 9@ i00 z>q܊QN~NO`b#V" F&~J=drrQ$L& twJ>1r^AR-!a\tf AFmĨ}'jyNE:P4RkXz߁FJKFIF&P@54AXzwֻUBSP{f*XMͤOzށRi%A?R ='|OMOiVV latс}!Q9r;IA^sA>OUs,jLk_ )cʝ tג.}_L1_6Rta4FdH<|,1ۆxY2?!V n2xh }f.;X`H-ujeA96imtZ"@njDCvC0:;I^Qޅ8=J'` R׸S`pZ"Vd𙬚"=;-ȷNsz$꿼.0zߖ{'na=E~"c D]o!MǟT{?PK*(n~mGӄ6Fj3Rl=J *]x슱1}އkH@MXYK#zN?~ @}[w7 硹"E*c?Viç}C?rXd(@@A!Mg*p(@eȤk#`(@L7@;|1i>x( k~Q>8Q$<[>ծT8oﲓM]GIfienN5!:`8P<kt_Nv&ޖGף%&퉂qa&~o-QoYݲDȌTsedxߚbD,HWĤʲ#k/ >tu#Gp .ξ݃f5|sēnMUDaWP ~cLjĊ%I$iA8,о9f ,}3ENj[ci[U$' )qtO,̓vv3CaWi KgmmR¢ߓs%{[”H{#E}ee >VBaWMGI(\>lH\l'߳>22{t D-NcV>?ŧZIK{ ChA>B{C$QKe 3^S}8?L,N_s $~$QRq:"G5l^ ,*k|[] f9F~GЦ(_TQWIhShԧUd9~$I2&`vY4D|Ev>o;SS~„,;  OUaPVdi-K*OEho4x剶҆!DJ ErH%io"mHQw*188BWC>I]p>:<p}G ax2 (Ig4 ePA}o;hlj)K݇PoG9E yN2J^Dђ2ULc N:T- ƍP#}ß@[mm=7"ꅦՙ?/aoP$*zw z}v#q\R+M_CWK]vy.je45SofOd74.S<99L`P{ɋiv@ktvkiS2QLS4?B`һٍN&F\̌ʨIey?Wzc:GG6AM}&| lH0&`tnt9 ɇ *9&ύS Z#. 𣏠2#L 3[^[Kg< ;8x`ʈ9(8p*vY4 P1XTwD2CiZ21U0,D(, ap{0D:GiL7_HC'Zk㳝 EMJ3XΉY 021<2}tzS->yNI+KcgU; `[շtr ))T8GwjN}Lo2}n"Wp@u (0k'W (e J/Repe eZLS 3!#I&)Ō|sDx `zܖU6 ej&y U8ACƓ?Q:,+{R& >1@`R*r&geKdZlWfL^L)|YVO#@  bq #&NH's"Va)H破 5 tcmqq:*>%!1S(q3 ZPMzJIy?)g;[nܚL u"*gS@规Lmі-*TgZ:`tF<D"|:Kk*ARGGǛűqŗ=cּ`ꛙ^{HґLTIϯfU+kfn# !T`njRM׷zG"M)QL-wUpXJUMsٕ"Ih`=}JkȢٓi;Q&j `@@`HIAHFFo5It}AF=^^OH풏+ gidH%}ZTq拦uYeg&Tه[;'aPG狠Eve_@zK=F;r4`2 5߻ i*>:giTTJ",`2 <C`agKÇҮWB]u&mz3}Ʋ eIT$0>N`r@$ eWEEh""~498p5x1꽈=I/KtCD$NHUΊx?p,L%ܗΫ+Nb[(Z"ۧ,ksLee!nôagـP(AvSazɅgQ~vKKܧ`Ӕ mP hv=M-*0y,KbҹvG[L,OV}vm;u}5MA AVpD}׃A˶f[ISAs 4-TupX5P%d;u|4 -;yRUߓ/EEJAcmL-+]?[uho}[ ب7$^3m"A}'uR#< <),nlᱣHSi|G4 2ޖQxH&`p $eNa1j0q[)ï\ӆ$Iv'AM;m]$yߚ*wo%:-@I[ Ybo &T.(l[m' $.iᅫhH"U<^=JwGm#DI]<d^mcq~IkC@̴?c?l1S^PF}a (b똩fFS*# ^tE}Qm'7lV]*?m>,oC~16 Z_6a $2M2?"|;g_]ZHڋ,6$mHq?4"AfEnKmO'áW0Dr%!$}F,J>|4LOKў$ig$aKP_R*v:5B4JD6@frQc#|9.W`6I>H$ QEkӫTs QCQ͢_hEsD6dhI63 me{QEX:@s6l$[ɵJ= rqbXqq|vT vS[_&dW d 쓁*aD,hvvwDK"p"hYDN)tARВc3G(aEN-ЬkֈV*oȽ9ЈHrb{YE_{;y_ދuo JRgc߭wi0'AiS4<g8I'J'urr6áCwsLb=-zkXgmMAkcFtSDYzoDY%y0sy"a2_0N$*IONɓVDaVc"K# !1$fM#v0@e;8ʶy!(!/#EHnOy\ӟhM&Dd_AfZow` o81*A@AÌ5$(p2 t-}MeHTCj eX3h=IvԈ0D}zj_4*h,m'-=Է=i4ڞ:և"DQjF#ɯ+AT  ,?s%$'[㹃f!DszLl|㇏cpL4>S>#AMzR ٯvE~+uC"c SKw "$ZJw#>Lҕelh$O@[S4p4[78~}1}m1C̄x 4 GMnT7 (}(u$#saC#k|NtdE3%V){! +eP1E% HߓX ?/ 16 DFI߫ 4*}w{Bه~d^g?wp.ۘ_S@>UM@%ʔhk zL6&4DE֛o?iaӎX)檚ȴm?*UFZz%}Fn4-n~mz"(coE-v؅~>{h%P'Q Bqk*G n^~T}_]?9} XW}";)S9x@wAR$1.PPosbg?iuLjæ{IRͣTEC%G򴗠l|#[+h]?NLOiQ6z;LƻzD@O{e+-b.g;j+o\o#xS{Z-HBJo%ki#8nAg`XSmSm"!Q4-XaoiGx;Lg& SlE +N hFܛLO4>Yg1UFdQ&!XhV'-wg_PV|C}HC$?%ҏ%wj }D BKl^SͰjR5j߾eRke?<S$v 8CH y A%;EY|}j<IҪ9Ʊq8>z#$) H7XJW A|+_$"ъ*gt/] /ڵ}#;t;$ @,WO .]W`II+dzۦ%Ds*AS  NH)6fL6+)/qoKtH=/Q?/%~B|1c<֏qlZ!C9t%϶h_:OPT̴}DDcd>AvG+;>J>hͨW256O!3!{v~_Z~TAp$LQ0~\>DԆ7aͦ|avuwa`2kdoC GԈD<<C \0#C?)n+m]!ÝNvPGg[^C 3̾H?!e1WAQ8hGVŶY %L?c!6BAջFGĴqC8.AɎP0f{zI:s %&暟?fm$.ns\iwT}.Rc<>dV"h-7ST0]#aߠ>ӣH[m>DpOb}JL?ϗ1mA!BU{3S)*|Y\A4-紺]y}36lߎ|'>xP i{i/h 󰝚-])}Qi^1nlK3lyf1JAL}!_'Q_5agد-Cm.T8BX :ӕAWaORjJ9#-%6O!K\_"n.!_hAoII{ 賢9'Jm&dW |4.;+v#CSvC4_Nэ8ֻ0bU0yR@B[UHw5Ӱٰw"zHbAjv3ZlҒFCEu7 ZCi<|,'_~!?``ACE"$˩74jYGjn2"4ZfDxҳM14R5jjM`%88*m ;P *Xy:">!p򾵵kC#n/~D# 4\W37#,N@b]" -4 $~\q-pw t$>H sޛ[4[_Ow7>kĀŚ+ PkH<v2h! (EP#[Ubެi* t񯟾786D:|4"-cTl-@o`YLNi}Xi>@fe[jd_M4V#Yneh_$@gV40+ FF0okpy(XP,uxs>G*fΌƆO+pUD\ذeCu8t>V""o*8E|W"?Q_E# ԟ4d<O5bw?~t>W7vCO``Fb1t`9s~{-?w=|ȼH`ÚCHHSgl\.*#I85U )VpMxOK&H?? "#(msw iշiLT: +s}^#b#6 =R0`1wӈ'߽'%e~] >R} &!@`kE կѻMQ<4Ĥ^h};LŶ|z'QهHDќ^*9/=J(\wL @P#bDaISd&8ʚf%`?ƛ!Ҭ.UU0轧&V0MF>7|<LESTL{mU!4g(Y{k=uK4@"iL6k.Hw" ׋A0X۩ġk[WLF2~/:Y;q]SDjt_AK`pp:OnN{࣏wj!/Ԩ<|d;M%W/!#NTŽIHSDX+m9r8:G7:>c7*}G;J?F1x9ǿC(u_hVO_Ts}ЮVQ$ArL?nOO?4Ji$QP2vߥj }`sξ$1d U@5&WP Ѵ879$ WrUט| *waJ"dywv'iV%Gh !3ف V*ك}݇ϟ}cH:x]b0Ϧ@ӄH/7+ϖSNT|x^LiH]w?W1ɲhkA]S:PISNU 6]PZ<?OY醒!yq?cy6KR'}yg{)0p:o4öAv `g0m)G+f84:gV4@lo~Gk ,`[fN{L*Xcӏѭ)H>K|$Y>tCcd|Ċm~9/wPbέ&|E8i_Ϳgmuz߃c122~k߫=x(GqQw>t=m"1̑lg>H{vSEu$58N>W noM/bkyHG}l' o!X ۥGOk"L2Hq5+Xij FYݡsLDTuLՊ) n5[`S^2~I ѿ2HxĤ? ѹ$}d7x#:\hZymeZdiӔƩ~ ^a~ϭhed';LoЦIO"r,=GH؃NzYNa7m[܂HZ-Xf ,xy.G;/<~4JߖBZJD4j24-9g2o;\!1<WRT(0vBDHV(C"inKz:G(6Q:yNmCH};%9bdKJ~?KLJi3ũ߶oI @ZZZ=ܚ*mk+}N'm쿿:XPQSC\۷Mcպ%WTwx #O6wBK7 -OY~Jϗ J7< i8kl5DO措bs q7oMk|j,ye,]Vr/-Z{O>r?vYB'b ]] ~G`TNCmTt$4+:DeC H"IY+k&X`x+`!'j)<,IEA|m54œ#<\mC1).t M Dd*ps|:G\ 4T (|Wm' +`Ej2wf@?l8r`>x0>|(Nz|"VP7p+0 BO#RAS<)5K^BQʟ_ZϜUq&[0OCgo@)>C`MiW-!i.߳Ft,K`6[Am3355cAt-v /!+{o1a'[D+ h1KsҼf;u<^_Ϟ#@ufw=+I9al޺O<o(FĻz[wwgSktR Icy=4pע%,FZZ J ._U;w.x1<7m|q<1ux1LzY<SqM7ᅙ c,jCpg-hxُc!Vqi+ 48 3 O51K>)x]1=3Vs tt$V-E IS" +1FJXdGxM;wKx_lo$S3[aﭦɶ@{;)C[wu!!|$|*$fқI>fA>ex^B L?B=w:O>|oyG`K0}hN$fI U5*U *jhz^z?(f<,:;IV>Ao8Mݜh#>+X?+ЩkJwIxi/ P$V2LE RdS-dO#8H $xy<W~LXu$~Vb2 6i,vtv<Z :mWBޗWXq)e ͘[7@2:|7$vUP~ kϣূ4:A\ \/齳]D:-$h <n8~UV`S,<x>mgSW\[n?,߷_?~D3tׇ`2v(Vh/i+I!8.446ca8w.)NP~LI`=nNed>"LIp䵷 vWe"O4 P R>hEXBߧ5ߌIR+PՊ>^SgO;̈T{;~H mE׍)}]MQP@ ۬>K |DI?AIgGfVkU b{$=- (@A>RSsOOE_W'># =byWS>ͱ-R'I>j⍼V,S;} U'G;@cgԣUkA6v$+o|<!Cii. ik[ډhE l (h(DΝ(f|qs ZzI>WC9 6n܈M[v`] _'x |h臔}%VF7蛲cHj Hl鏠E0~P` ̜9ϘӧGÔi'g)cڬp՗[YӐ&\UKp9hr6G ꤂V՛[ ;1>_!Om5`2%u٩\3WQӊ2 ׅ?%=dt_WDBkn$aD:"Um'-*X4O^qAEw9Aj샞 u;nc[w y2 c]o5S, u m#&`*@T@{ >y]M Qb8ɸD>OG 6SAYS? N "N$J}ĉIa|exx}y\6CG|5}TYSg=IU'NB,JξB}L跄Us%_$oO7 @:;mKQus;Nk-z *hҐ*0>uzh>l6SD@?D)i/[ m`AS2"Fer-#۶0s Vp8LM`Ou`gg6xex;pl44;1'|?|){]>%d'kWe `jNe97݅ y;9sMÚ˱iJ,[|S{=}w#ṩSHԧߋ6X`'1scxq,̛7U˱{:](E}n xfRL{*)(Vq<I7s)m=?`@NkӉ };;AD:&y9G8ٷ ؟|X BѤh%hd0hk$&W*pVg*xS|]y#A[F(Y'x}C-APTS`T6ğB}x!#Gq>f^EEu4kN<_ۚ "g@ee{De顁KzJpk.}qMRy̐bo3/!2`~גSAe$s{:'Q2ihxdG4iSlݿ_cK]w^I4BtFࡃ'?O>#"Is2~<v41|akk:tw/:u*ua`μSV/'S>ǩ=(կ#S0nÌi0׭ƺW㉇<y >,_4gϮܻ 6A:Xh4ii A}"X&Iq/nm IO%A 9lrn(kOOR?VnTTNNXD'd$$&3rȦn5:sN3J=xWJ W5-5*E cu߀o| t8Iy Ft HE iM(AB>xx$Ԣ(?o{ s{ Gy1:$|>FrFd+ Ƚ6j]lJд&.$Í[`=tX9OgKN{6pO)IfpI "i_Km-fф(pf [븦Q5D/i,DEey6 h%M&I (TnQC.]3 s!t{odžM10\Y_^9sH6RGppA ϟ ??mk3s6wgLh]mg5e08M ؾ~ :i>C^_a QQ濄g {Q;QLvۭ&8sskq*Ly~LO}CxqKxqZ-ؽ{3*+wrME_G2J` H *`@kdv6A,#R:i*~_A nd fg$xt[:$}11HgW #(Acee"u[/}, "1HEݏ Ǎ7܄oMgE$YݢU1c?ٗ8\_, t9D O'o_[h(>eʨDKsm76@*sGzd+o AZq)A w|8=سi<A{6+N]h/jԝUl_ytI $m +@@]7 ¿<}LAae dYl]YHo(hh>1`8e aX'&w%Pj=?~ رv!<~kyEqx(^?NOg#~HtIX(\rq8g|!@08I"XY?#cBÇ3^>[x*x2<S(1==܇{MyOO q3yTکg#g\6b+K(y)xvӸ11o ݲ*Q\JW96Y{V$#}Y~V@[tLE&o}MWȫ;]K:~By0g7v xh5V8i\izyz+A}ZMO[jLcPUM&aō7ހo; - CH!~ *D~Ǻᣮk*^u" q*{-<(`Dvv`+a8)LW@skE@35~ 1ձG;pxN0 ߖBnuK5bv- iFK~QC VGadDi/>FF~- طؗEW-!FZ!Dh*(m` bm E4e~pvPUYle/aS.cpp}  (}Έ29425L+K apBmGeNRY7FMC5X4y̚4׿įoz;r&7_zոksӍ7f7&u'M}[ ^7 3{NGs4VnEc8jvPwttToZsՐW|aru]0PYRm]ٷ&\])ѵk̛$Gjt]qjDZUA0 QEw'(;#ZDȅ'~WFxB) ~dɳZ@L44F~:&-ECGyZ!]$< p;c>&ao[$@,MjU J֭;wt T67Sϒj*,ЈRO ;Yt=S{0#S-G?yk0rkOQ: +-YIr{+FxO~^FbH$q]4()vۏ0EO`Xb &Ǿ!t&ht"X0J$u5  qSfȞAh[סs_~t&&<7c'axfSgW7__*pu\w͵Kqgse_le]~t6n:<9a)\2kT 15e"4]pDz`|B*PgVɹox"UҙNn0(tTk{Kzh$\Iu֖l]2mU R7 (PD L4H2~:qO8v5lnyt8"h<NxCI/AD 73H4 /ejZ(@'! <Fgio@ xtI (x`lu`@%Ȩi~ǪNL` Sss&oلv@{$s$cfs#&#$Y'H'=X7CҢ 0>!#F:_d+jHH,h_4<v6@ TX͈yf|, V:k1{si|TwmB tlƮ=՛Ţ3)3jlܸLJ1><Nǿ}^UZƓ*Uf]~ڡ]3q/n&̞g~? qo矇o|rYgw2\I+nE_{-yAGyӞ}@3j,GS.FT!b%p8Ih4ZM@I*hh6 8 gqz)ϗqR&KQE.nK-;.+خ :ADn1(}Fټ/u@P+x,Ⱦf>u7hj̥#[o|Hh'pϯ AhGg|_z걟>Uc5G]'|%bڡv qp_;8Il_S!uJO|9unRA_+ op1?Ⱦ;1ُ]Y7t#!!h1D?0ўwYZ L~\vMAkޛ+m籁,0ۓBlq Ky\7I2(p ?AuZ8 <hBm $ޚ+Qhm0A$9TUQ(V*T\ⳅ_ĊWc劕ش~-@Hh_0u,JU.wHMq3u܃P{*#1%8p-Sg͡?g[qM7oÏ> _pϮ/<l‹\.Wr\@|p5?Ã>r,X0>(hlEhU,bwFMztH} 5Ud~NF8t }@zfs /QРD$Fp|Nx~|;s=h !m j^Hi prʆ~$k߆ʹnׅ/@/Ƚǹ<m1Z3u[!@J^?/gv<VS12 *Dįh^w6C9܁#"!^("2ܦwR<'h =Ux}OzJ  ;kv?*FԻq G0ۆԉQmF_~q]-nݏSW@ @!1bj1cFZaJY~nC+ۺ$;vжD,N ZR#_Hhò1+P`4NyvzBMU_GJQ MBڐ,6Ŷ_,PQT&ނAGAF=BYEM{vE!Ԁ߽y|;\)JdF{}EC܏R-tnp 6(oP1(5wogcF1ml\tx)Xrc8> {?Hz'p]w?y Naʓ᥅+x*8]^lپ Sg>GdM{ѸwjvoGiF;S!  #B`2&H#}NC"-t֮>? *u;Jm23t)N#0tR}<*LsqMnwU$=)4("Z J'$evPx)G |h+{MˮGusN?#Ț@m%YF$ \k D8R#kЕā!al[,ldp9"& @c$pP@jo݁6b+)lZ c| (k.˱m*l[{6nAݨE3w0&9Qoɩ@ƩcZblyF~xRy6ò0otl+ft^Ϛ}M; ѻt:ChD eh xN,(\IWRjPwL-**QW_ć~[ݦbdېPiWZSfH,W4%s_: _Ãw۶ s”G? =5W]~9ٵ4̟|b*fϚ7ciX~ j5 S+/D"DhoXW`:zHgOL;+8gFd5fFUFKn(+XڛZA:걃芑ALE~<|:h ekLY`JL2=^f)/EEypk_:"8 p $I{4e?킗@BW5r*yL3!0Ǐ `f Iv5J!H7xfT^KS1:Aw=*zތʱnn_K 3^ߎn g<=i=$ My3xK,y˰ضa;6݌7#LRVAkTӀ"m5C%I˒k3EkK{ eiEύN^ >s:|q[Ό|f Y?kdSɮ5@b[{?vEӏ B;t7sx:nkE2ڋB6wVaO%ًڪ?'}2?ƨf=nM5ZLj&I܅-7~<6oچys๧SyufMj^sڊ7o>?7x!<S3%lذg<U//};g Oݯ"Dͨؽظn1 B:@BC&O}-TYe|0Z7?@xezoMߖw7'P }ot2y~SI:n-`CoA ۝vC]eiHMP(Y6 Q p/W53B07#MR̪^HΈPR?AHN>~ ĭA;1Z-C0B*ڃ$ߕF?&IJV@jxtw$Cuvc•xyt6!ټhsbO`OcʃaO`ҟLÂ9 uؾvLU44R#a Dk0<6R#<GA|e1x)ذy6mSBA6bwym$}Uc;2u@/l\HI 4 {V 5eP{v~;|Jϑj~{}:B +uVE ؼ߱kc`*g|O6o߸^xOrxww>,.R\q%x&외7wGSO=a*nܸa&6oކu6<z5m܆ekzB4*lDM5~CV=>wnmU$v%9}e%M qz2 hP@CfU+e(`e5Ad(ߏ˾Xs~#S% DfU'ΒybIڃ}$O`Gnf|_E4C!/ :wخ^kK7/$9|n~MJn\Xgj~?5d}60mEv"J/?N5W6oٍ+7cK`y7\fLO>> i<೘99,u~-ٌM/6L]$L+# О#bd~IbwR| #K66rdh #V.3333NJ5x< P'nSvP878֖ASB/zFQYN(1\ee5 WB,`F5#ـ/F"ȇlp{PcV ټ>߽G@i#IT[he}T+54ܳw`;f͛v=^|~>6Yet- /̥qI[[.]V`=c{n,ZFе[b.Uؼ}/b$]n.)!ÈQ{' ԗPG$}E4!( 8TʯR:)VJ49q&4gs*Y B5M@ N};ࣳwp$IM/¦QEoF^EsL1CŏT鋡D澑d{|!R!<Av(6Nbe$E>btu~D<Fhph4#|`7(XނH)J)6|"" 4ȹ'm}lxix0{0'#?'z^w+:|%Gsϻ7R\~+~x6.;g~yG0KغipJ֒t&SHW U}cUXx|Bsx ;Ɯ/%W.yvlc(jީ. ZX;(Cm$1h;iFt06r|mDuC쀭"!Q"hۏM6|խ>;?O>xTdD+n &]L UX$15҉mظH?`H7mہ+VbK b…3k&mق뮻 <?%3f%Vcuqb }w5֐eE^3jtfV;} mٌn>k+x<->*n2l, 븏UC4Z,eFR,"@j6:G߶tޗ%C(ÐnE$ L(R[&=4B Iғޑh*  O([DKf9B$x `9:ۿde3)}  {×U_ǡW\.eݨiۊH79Fc3웚A}0CQ[]Ix04ɦciUJ (q { J\y5+pww܋k7^ .<xwoq?|?W+|_W['YsdhSSrb(* 5bP%f:5h ўj9/:o2ZWT`FU D.+ 5,tP!jȶ;ia 5s(~D m! *h®]QW{#7؆IE*+Ƞ?NJHR*"'dPfFlڂm3^|a~Ķmv&,:?K_ߌowSlمEc/b%9X*j*xn|k7D{[^/xx#^-qd"2kyRڶ]=j_x>M*C+Y D6YUS@ڸNmÑcﲽ\^|ɿk^+`` |Q]h ~M ߛA궇B &Ux4IW1{foW# 0B5uOR y !#{OeR>f~}o(Ab*#1@:Q(QOP 1~&N 1T+xee = D0F@KV .#So׸Wzos>B\J__~3_ǯoo7_Wue|ニo>=g-@0J~4MEE25i$ĺ Qlp\:jET~}MqwA:~~5صwU*. 9߁z b<Il!QJ[ s]ߣML r8=kiu?_jaIdy?Cu}<nl][ף>;} +4#$N@/g?&o;؏<=^ih` 2ggGV.^_y/ṙxvIt=wSWcWXh\N~f46;+aVƂQxv:n6o VVoǚuKsFtuoY4E\8rpQAsnHEIIR$wiI}VH-]E{~F7?k_E4Cq!(AY VNehgxO#e:jy/$ة!{/ M u"Aoo/oIЋ{p8~2hn_}A[-9QV\RP4G #1bOWيN:\8z~tQbջjBuDFAVHKHt0.y_^}-~k_W7ng[#|~Ws{9?/K?o|~f?FDBIDAT>4|s8$AϭA>gQ5="L'c`Vozt#\J2BmwțO28w.o2ݯk.e܎D"EܤhKB2E$H;w8uv_;*L~?A(`dWmf0Ŷ_,sOS+m+аg%;#cxݷH$i(5* '7ZV7Q/ުjTW`+)O=_kXmĊk`2%x饅EXt5nNw~Wn px漀g}Š;L[yG%6Dy1pfN}h=2 {IjB+rKM舴;ঈ[T<E'?~sE"-vtd_#tܜO`F 8_`@hDv̉8n! `]HR%S4-)yt T\l><C8˱p\C`TekvD*OH'8:KM"اStJ۰=9/Ň>(rnP$Ċʋ[\8Ȟ(z3}Xb B|cސr&8gϦhB3&O nz?n¬ /g=={TtzV֌DfL%?FԾi$.W]U.wpesQp(hKwwc l*N!SJarLyQ\{eW8bHwj, Hrt$'6Ş]+hX5RH)T4&pR4=i۞*4ijNum5jk_ށˮldž;|u˘Gݟ71fUK sز}/6p,|y5͘'wXvƅ%`:޴ۀ^ <͝Fܽ;wMщ>y<f7w,if{:uxw]OGYfߣ6Sx,JAksi0" ؓh _``BZ$ o=U `j޼ejb!UcL T0('d8.;*,!_"{ѱFpy <&2 f=ɶͩm%I ]f04 mdĢfGPL7 !(\ n/"*j[@vA)$$"C0}boY =]?*(G#/("X0Y1><g` !d?> kVo3WiM@@)FϩH5ETJ&!U`hP5D߷lE#eW .7ϸꪋq揾o_|$jO+G+l%bx;a~>IM+}/Rg;}}e6HҴafy&lظ;AMOÏO^g%"4F$ZF]MT$jCuuv}]݌mbXIҿ` ̛ ^Z9n.wly6E+H&g,`͆Sá,>?5gQ[ *t1=}COlIִ!-فD鼗!1v65, &Q?c4Ql;Zϧދ ܳ_ijWB|P h?<4Ia1 PI:]#ԃ}Mei/ >u(tD3e?O ޻\G-(];1DwםH}GSߕ*0DٶYtu(fL0TbzϗHo$kUvd^=sR|(P;q5b_kd^a(mAL=_q -]88~1چGN`_8Ϙn>xzG0<"I+q66فR?Fs}?GͶWٞͮ02?Ld{Ze%Hۧ)X¿Z&簃(%B?f_R- ~r!7q.|7t qN's GJaNp{~86bMv?ƶ'a[~;~IR~ۇB7}j&kDG3vn^=[мw+;}b6dАH mb[hӚ#Y#&Aٵ۷>^vl\g%m\/ŋҼyI̶ev\zxy&]^ZYflW5V܂j{c [|m<4}B˵廰c&T*=<=pn#;LR> " csI#')hNl_{`"/"꺃 ȿ >P0 n<ǴJI K(;YY NoMP&͞ mq2|x@X0LrrQ<sN8xwC.CC$1%gP!W8 bk0ahdK_Vvz^l«=^EPfߡ~hJR2F"6K?? Hs1̜". 6dk! #86F;xgBrQ '/ص ||[¦ ٟ06v</De5Bn< %{O6BE$S*ƨ)uqI- =z E1h l\te%W^3/>nZ̚=ľ>(0wG=f ;vhh_[G@y֭p뭷[:s?Yl;` w'Q!n: w@y>y}{&l4SE[ !p,P+ )/k )JBβ2lX2t-3Xj=݄֯+aWxr4w]oc<7`k1kLXnI6lۀmeBࢁYFsxgPHӚG!ռ|x-dҤ7jI>3V|3OcmE:n2,(mFΪZR5}˭ (A;)mH88ǜk?q]C"*N JemqVߵ|{eZ޵γ0 ۍF'ɋsο rPE@I:iq8M`3s4oh/0h lTfoS%zte=a[s uVSZ4:x 'fs9F)<O7LӣCK: W}55[ۺe2I՗ CwV4W^׈Z`TdV櫛 >u@bpr_WDp~|p?ͿO<u?kށއ Hᖆw ,l? F/c spA9sv}-QWAsO$H B-a5OهhiM,*DDJCX;|F`B< =9Ta^n3F,\ /.԰O^wb:ܰ=<zIl!aXl#jQь 71UGGaƳ3p~6)UUjNi)گ4.:Ht$~> z즃t_nwӱh  eZ;E8[LjGJMk%p*,/"$e? *(0,=IRPTP۱ ~]AV[I"T_r^Y2^?q0'Aas W |e2y3}%ʠ0ξA[{7utUn*!G}o"袳ˢj:t8r@/w;i5KGϚ,}h}N2=hjSLhk\$v:x}Q_,$>e3')8v'eyV+XMɗ®j߱ff8 O)P35~NvM%4"{@QA ]E׮ۄk~q9!)nO1)ع hҤm 4Rf5޲yS,HRxqֹg|'o/tzi'i? Y4w}r.[I]ڀOx > 4ۈ$ۯB\z 4ne+U7*ۋKځl<H_zvr3/\K_T5ݿv.ڎ\?5ql!߀=U.t5FF]G_i/;F?To@0腧 7c)+GseSN^>p4oXœ[(>bx[)}e<e'*#GYPp|N$QoiV&t?L ДFgm#2g8|I+QU+VP_yoPKyJf;Sdy6Q? d%ыh>~ۘ}mD{"ǾUt?Ql<a4g DE|W"Z b7Bˏ i1msHX9|y7БJ╹s?KHӗ)ED=F?EkW&wcU\J 7JABoh׬ y5nG(Jyv(B\&=^\s ~|98K>0vW!3+X@C\!{0f*K N{t9-M⬳~s;봺doF/x]ؽyvoj;ӷEdFX55Ci׃$CğA4me>G;*+jIW~xjʣؾi6]// b܍s>Oy`#vK,O?1I%]N]wcJlݼM80~3?_+tw7S>wVUY}Qxa+ ! rKr rzc~[iGR:۞>~ƟUB/I=hzC4YS}<> 4@"aGi W? G$YSꊇ2絨C7oy =KV-e /kVӮ.¡CibzS-_ -[f}9A\Cc$I+}E#S/<NSh )⪝mWh7 tA#c3E m<E'?9GQ.mIN,;ɒ~q|Gh{_BܘȄ d{IKy3Ρ~`ɒż8}5'Dr[ MK4Ŭ䆊5 {^y8߿(ԧڑ~CAB?Mig- 7J!λl\|ȔP^diG\P Ia dH^jNib0J SO=>dgv)ړ0p4\رM{W!څ_oノ$x"9Ƅ ضJ.pffx˗.$`9V.Za&X %?eR,ӞEp7MJ 6N-;˱uG9*jp,Y?3T=m4a 44߁\Hqo'N"`t{(Ra !h'S.)KUJ|?f޿׳D?޷Xk]ZU1[D(T|,De'ܧ0kØ=w*,x-`/A  N8`3O 5;&8hʝDDR2Q"J)Q$8HК*#9<,Pq+z_Un7d^ -]^ky.mQG0 ^L`iMؽk3Z3~ v 4Ty[S*H+j\fΟ9ple*SwsVoYOL`]}FZeeXǔ0k\\rE q>Uۮ :߲ޕ-)hc=p(Cn"ԼgEfv(0]t쀭n>4b44n=nصy *v-yxA7,ĘsntrMt|_s7U44G ٸq}lݲ g|4[q\Vm+R_ܗcێj|nVj~q)2 /[njOe36nnD$Ţnmp U{ᬩ 4Ԡ9aD)BOSuD'{F'e it!@ԨrDf6=L%:9 {`'C奝@+!{8ɉ4\]8 $$ްLd5Jrr`ꌧ'G0cS>I,\^=<6PN؉Ύ.̞"_FyuIMۡH(҈Iv@TQ)Una_#Q@d9B'F`KT[Ik9C|vOMgҨ# ^-`e4N7no g29X,^f&A?ԨIŢV #JҠ"7U~w8C&(<dw0?]$ ƈ57^w?V]iL Bd"%z+-\qY-? 7_M;"U-Q= N*.-k"'O$Sؽ{7_r酸 N!W #FOଯ+-7OٯE.n.8A4?7fzPxIl&Iwvs'V̾v]9]euis|&lZm;"?ص/FT0TT9YOP[44wK~/: M{Q_oC[.6+$V+R$"i7]AfQC\G"|L=b?=Ppd1CA G}E9 )3+@=V#JT@eIENIX866i̜5OO}3hO{GO;y$bms?װ\swPn[k۝NLt T};s?uo0I\Z@Fb1 m|L};.hMz0$4X.CQIU?s/Z-7# <()H{J(ʈP Np>?: ma)fo*fW_܌K.~ 7+P:" YE' 73N|: ]c(RM^;t}/k}4`2 HVEKט顛;Hbfگᢋ.W\|ZجՔhxw+۶ц]OG+3kG>ԇ\D,:IQ&1F[;BrGN@mE D6>׿FiV\A_n1o<,Z[l7-Xd{vWaWOXW%++*9MĿQby݋vt M$\B0Bה`5n|+@bV/L_,v G?ko̧w <LdzI5H@%¦v*o&կ.L/$niy;,}s3 bV;~US`OUns|K 8-Ͳ#Ȧhf_Q׺ک0 {s/ES=#_( Mcuu?Ñ}}(Dg߈ۑP_! $ԏ1P}<N[jX:ÎmS\E-Lk~m!w濂 [Pb:ydRIbl.BK.x#JhC ع6X FUmZ\v[~tlKXxEڄAKJh OD^Wf,9R'UxǗ73l߾e#|G!Qt1Z4`CkU6mڊr B:ME~uV<ڕLb,p ]96H,!ir9Qk P'';o"H3 *[ QɄ"~::o4-eMj ,gnĖիn!a4WƲe12e&Ǘ^^%~vMXx zf&VQQ5ز ;vW`]fR.?[SFG&b>g-*wnN\mfTJ$Y#C$, djR'#rU`\ k^ uQ<:nBMpRn7 C#4-<Z <Jb7Ń6^:{n_ Ѐ! *QӇt,s˯|&a_8` Tm3iҁJ4I$I7UnmS1R z>YȚ&"-`MOo)*Xg)hs;QW]կ,KZ|p3rSakqW yKAOY~6xxqO~{X0 N3`2Lfm<Ϝ)sqEď!~Jpm7_"b)ϸx0ƺeQ*+Ԍ4CDϾ5x{p5+>o8l֔HD]iGr`bjԗ/GнxQUL#Y!`̌:ktMNg{ʪHh|jwa 0g38oQWVVa {,[/B6X@x*] wTbux'm^([ߩ22[~qƆ gc%vm]ƚ]hIڷGC(&tnYtI:8!F0!SƐ6XٞzJ{!DQFKIRڲGRe wڞ&W0j&q x4$R.5Z-yͮ Af<x0q篮#0rvIB:ZȂ/odZx؆짾$tzMZl6{!Fm]$tpGQmAT$ߩt]H$mN[:Q@:O Q dgYSвY N4j9/V` a$RMFvGg5uBy@@}Im Ԛ[%dyxΙxgI84g> lk #)Ei4Eݜ;w pΏy|^]g?5ѾsNjwh^C(I°6SQ&t0 l9n\}KNU[x?tdr1w-ʷ/C՞uP^*ϭ%vL~b$r SMsFׯ^ysf;gTźU(jFL߾yAEϥXv+U9zw#ضe^zq1i`ӆ$ $Ne8D~}|_MMسi#5C:FM$nSd3h%*rJM_+$*g /(Nꫂ]%-y_'IZeր \{6"(tj$o/uID[)@SO+( ^1KZ[6GOޏ=zY1 xu? Y3@}n-җ[i >zl>߅jPba#/7*I.}C=Ixu⡰5$ [Z#ED($'UC<՝})[#6iN&JEUVF]ȓY3#vH׬=zzu,&- &woW _ڗ3Hݟ f[qDʐx,g$]Y?E?.~vOpecմ!d+;X %um׺F KOWQN2bo|] TnZJU=o1@_ =${$K}dvB6>kj'Q݉VbweXv \k`WWKy֯=-| ú 1RVw?> KB]޽رc'vD*2%z-6zN,S6bmkֳO%~ͷE?k?"R6Df+} k ߼quAV<TASEYebt`qhrG!L<ҁO B<_Jg؏rOt7\N[R@ܳO <k<7v5Xz!:>2NͱPUU%Koɷ^ALƨ^b$; ^N#S mcm ڑ(F4BnOZ'Вn>b$|})네7%)d4Ea֤L=fyO(2O457e ˫%gS.Fs}߈lʃb>L2D`(45#cè%Vv!C?Tx$Ȳ?ӞkZq}w7xgj'-[dxr@]&8p+<^]X~ pE?2Y ;jg( 6똲 "xȍ;a۷`owr\ub4nZS.g]l]u;WUj|ư {2xkj8vn=囐dUlDz3D͖Wq"/Fn3E/ޏ~un݌uI&+( V4,^秿E$ o"Pz= /aͲUBy:lZ[7nF=Xr f<8 :IHPH\!/r ?l_mk{b^ʰ`ǵɫH"K㡑똄NN Ŏož1_m$<ߤ $}2_)zը@_N;B1#.F_lu<A୮jxW+q]?3I10GJÖ6L"s+~,AG0HJ#Y!(%*R Z%vl޾!s֜<M"\ BQA<<^>WV^piڂNl`OU-OO_Gו٣hRU̖dY,bff,fɲ, bffY̌-3e\IQ*`t:t~7׮}ɸyc?Ocqセ99^[)瑗M1S\*&2^s XP-  w7td"BDKt7bb[L)8E[8&I|b-hpD4m`i`g\Hտ8&D_@A61@}W"V7CQP iT $P\ikg( 0Skb@i&: 蹥 LO/alt" LͬPg b!s%#~>=W&_%~D`}X>o~-FʱR5`:5x:&ؔ\Ld2ޟۀt՗XAe~* Q_D / ^VbCHj.AEyŕpu@fzRRQ[fb(+.ar]DUE#M Q7 RX,wL:f\GwgR)Y]RuXnJII_|(ųX$% "D 2Q6i:1U,Lέ_xO^0251qXr] ^=LLc(#E,P_ ~gx!nQNOçeRfW$===9~U3ѯ^HImccO<cT<,xU:1X0?3yy0O?~"m#29Ox>& q~1Ea6*@# By}hNǟ C Čl'<B +7_*y6.}Rq;WwZ9BU[_*NqnN GEmYYT`f~app_w' od\АxO?ţؓZjiF>'Z\EkŕPCc; S-*J!!9^ߠp%r-ib^\ɠIXg,)LXg?"3_Y <^|]SgG͛~/iF[+DULp|  XR,Ugbw L^LK!Pv.ͅXhG}E<-J>ZF5MBEQ**r|2 *4c_W<gYq5*؈}g;d(+,Ek#yBZ4OcQ7W7x}z5nýkKxc.<.GyecwCs6}sC̤E&0M}(O|՗s9Y6_38"*`!cBhq+WĈ(*afhrz&cÿc:J/\'>;)#h ț )]PSO}$Q'戜2R 9+r*jPwRLUR>xӢx 4Pcr14?9_³gXXWٗފ: K+wxE(X\ @Uug/ЈFpH.\Eju]r&rH+@s]-ΝF_g;_'̬p\*j8 7GwF twu81}|q]#$,ζ00Eq6>F44" Wr> bU(n y}lh`#`dpz:`mq! Eg_u1-f]'"s4Ye$[,E"occp:{޿᯿F,6t/Oo:b,4`*/“1P׏6bKޯÍײoj hG'rr,jjؽo7 ׅeGRr .]JdH|_W_ʪxϢxB,x& |\(f(BuE&Azzyn6vhƞ172SJU<Op./6iĒG|2'ycK2Q9DB_`b]K711sh㰭WZ ~}꧿Mr34מ82L9uk +sEo`}!sSi&$\&nCzZ6gDziU44_Ws6 =~/4,ok!}l'wf;G6g.2cn\Ur@Scji .g`bd S~a>KbOICjjS o qB+<Kv qi:LMMhk荆҅;qkbDZv|w4 ..V($=R1c`}-X_zok+b CMb oMyXi"4 ҅kbX - 2j5iQVx!`aaN :w,}<`ai{=X9ԁk#LF_n<z/5%<!woE_VZH;t?a%z š@EOLV%)% p[\HUUoe*@ BzZ t عR5l͕XT]QgΠ022/_ƅ$7yi[email protected]>&wօ@@+o_G+ww7I"5h({dFN/ ;!IMƕ$ԧ'&":j1;$ uhfV1\6O@mޗw l)~p Wh (ZE݀vi;͏>/Xuh|(d(]_XzIU~1.\ p6%]idzItFfH*fLSbjzInA9"gp ֯] ]!3L⊃ַ!xJl =1Ia0E"/ ]:gV181t"#U$Yk> E~X/8&qc4<4R`7&I54K$ 2r`nk??gx{#*%farILQh~7` F{’+B} ;-#{\*4SC, Cyq6hŴrQPR~w|mtdw$2::u ML/M)wxPXZ|sx"XIOIǥ @ƹ\7Tb3?ɧf0)4 e1^sFI#;Vg1?@iY'R䬃޿]1K*o4e945ҀAVZUطMDri\_&"?3)){ҥA,PtgӸb )jl,⃷nS0Q<[?"-l,JSHs4UuI$4;QT,9J➠kFLK68x>@s>EC%dI{W7n?_}5^.V("64ի4*61'^+ycS|<n mX0r4>9n^[`:گ?AbRo߇ܢRܺSRSSSGqiOfdK\{-i)Y0A֫1KQ0$W䇇4lqeqm tl:Fa;Qԁq$<6N3@[@AхIv+znR}XĹ8wx~['iJi&VbR< $/YZh /C~'a((#`/f}"}> >MT|2KC'Z"<WaQ1PRRy9sSMj!**KhXzA.32FX&Al_,ϗNIdlCBq>ΰ0Wg}@@쟏AJ|2[17PO#|Χ~(<Q}'uꈛ=?1N#3gi$OCĹa?)X'ש!R<nEҀA= \QG_M>硩NF1qp?fP,de#+#94#d{_@{-\T '}p6R<H=b 01ɳ?ۢF:FG_+DmQCG\Pf2D~XRcMq_lM&_-Jx6@NN>/~wo8~~}M01Ԍ"x'`i_'?9^_@':Z5ݗc>Qp~e&}b; J2?zF~q|}G/ߡ^f>VGc\]>N|Tl~r ]L/ܡVX$7\Õ+}hIhhh'w|7-fL1jö.<w޹}7oç/wpG`ܣؼQDߡfZ!'ۂ*x keU4YsO@J6qe(*!6.T~TL !:J؟b`_X~?!ֲb ,o~Q 19Ȉ3PQV e )@T֔v< 1AlQ* ‘=b ū]b܊4薨Cw -lPMtX(<b+S{+8+iY >Kl&ce؉?? 'H EZ+J=n|ɫDwYRlQFEf K8h(ť 7PUST5W%P^.fV}(LODIY Ҁ dgsK]R>̼Tdcdrx~fr q*uh' UF#&iϠ$# yJz.蓖/\g}]e>~ϱF_X`liB֞bgy&rC$t = :ُ@Ky_}1~ͷx{d]'o,1lՇFpZ*JrjgӈZYρ2?qs# RgArܻw#Fff1:)f8y鋗%jU<fxE8 +s`9:Hx =o>f 13IybdzՍ+ he3$V{WEE9z{:};}9?Ϟ~óSjqzb̓X^^e/y^.&Wط7AheĝsCX R'R]]>C'R;'HfoE#fŲ%CC] 'CWGzzA-X˭@<_cayA,[}æ9<g1SZhSpgr(=|,kFdN S坃Pn[BTuz6Fouom'g8DY ?4^ܾWx#=)HRiiωhx-.I bB^["+y要Y`s :j x[ #.4"Oxy |t$][;0=҇zbqrWG1?ޅRz.溈 pC!-l<+dz" ÙODy3(-GQ!vbt}4+ ݚy1hqMQOT"tRKbmݷKQ}ST#€s}=H$VU"R8j/`pE<|X$5ҳIs vP8w3W-9Wi.! !Ny[ c8oW>HĶyXW2}rCJb@LZ*YiOyikǑ%hWWLcVXR>_ΩźcQX!Lk0S|UOo3޶tu͓}WST0sD|\,<<d3$`u88i3go52 qA& ROstJ/ܝiGu5CmM95M y+V3 C[k'jzSMNQL/ghoGki|ɜrJ[.4-ϯ =jk˟?B? c| .!) ѝHO>x?Kǯf!=COU6"aoa C1ގIf=i@Aa^ 2sY8rHmMM1AmPGT0c`[󁇓=}:Мd]\ՅAL6 fFf88i3Ά8福nq1FNV&p07DT7ӐJS1=61X@7ܳ?f5uH+ 㳛Ҵr1q K7{-lb7'cO~M:)FD\3&ipWh,i<<ݤy>.ETG(W?zISV,=yg.BVFEE(jՂ+x.4h?y_,c8)MۋuL/Wҥ%Lգ[x|{FCp :Nx 9nW:hHh0xb+5 bsd K9g2'H x{ȯ %.100>"gz 47|߂wWTjg4r09[``8AZrS<Ely6n\_xC -bGl{(@X. :y G堥{Ƒq}8.N4Q@\}&kV2l -N"7PP'w<faRu1 ?~F5{,.s"<s؎Ybnw;| f2O2ۘÉ ~Sy!l4E墋t3͡ {}]49R+-)(Fff. p:,dȠY0َShh7jKrp&gbNSҖ9=>| |ӊ|t5Ր7:qؿ2ɑ+2-3SShl7Ni IYW}D:#lnnO+ ؛!,ch<riK蒸,L%A&XR`dcf)*ZǏ11=xyO?|O>}W[-|<M$2El<O p9!f0P?(wy^&9?={\ JJQ`%ɓ4[P /^7_/곈b`؟x]M-x15|!ln03o/gboqL?W#3sk^ZC$o ~\# _%iz{0׏RmץmEvbw=YwgyØE\Su",lbdtE {{s;BSK:j8,e`J_\" [4 ~qxvϋZyu8ٻ@S;gK=X3zuԛiB6E-G4oK|L\A췶=.?>@3yؿ%Yj9 cE_xgrA/ e.Ek[fG>׀??;b?$ 3ȉĿ|=q$ᔓ5Lea.|D T厢97>"e"77bK܂|$"!a8"sHMn\_C: 5bnUE9HA qinncCd_xJ[v #cؼ1O8;Ḇ/|,O:s%h#ҧ1\LQw/ad_/{K[-ź5QK-s_9M |&|>A(?g~kϰ18Mܬ3e}<EDjɻnsŗ_⋈K 9Ϟ!<,d啑E&~竍u[%/}1$;wIbD;"Omn&;M<:^=u1mE,jnj)<Vg6x Cd|ؕ)3+ݭ4+ďL9n"\^b=OOACnάy>{ Po,cCRM=D9vP8CYUڎs^*5U0oJ- $wQ*0/$wd-;KՖmE&O M#S-,Y4<$]kVCz^gzl} ۰˷ oXutn0GcU9ƻxmP34&hx\.G8tQt-sG?!$Zm 9l-mAq'af!--% i9C>I`'dgRR 3V鶯>y 󂡩5l'^ntuƥ1xy{F:XY:̍xᦘF]H M䉪$O b&M)>$2̵`w(6Me8 1g0Iܐd}O3|_\_@Mc;&olC hlݸML/09Gj Fynn).A[C%ct ~4eQsnф!#-iQX&`Y"1)AWw'4f& 5&U*^w @Qu{./L"p6S~@H@}iJ84ydb eΞ>,|]Gv~bXT'^ƂxX~1M#-oNu-qɌSkEcM#jʫփ6tu5b '115wC*y.# G%?_;@46L,#1|_h%KM V161 abzҠ $w8sl|յ)(%]`D$P\H>IqHMʦVJ,cbzAKh2^32҅?ؗw*{^3,SC8gVԷa7li4`m"b;ݿ} Ok&yPܳaF™ hJi3BrODƥ% |4%.; -!Zꑑx 9QW”+9@89OhJ 6p)w|WmT<&~,LtDQ(2]]񘭹G̏@ f*`JpB9 CMHے7NLKWVG 3#sG߭Q^^R\eh[$qlu Jq/ X4Ť1G<_ibŒT5y:#] UuUI;Q>x>D'਌21J1VdE P`Wf0<2?4+R[4-7Yhǣ'ɁXX'/~3OI['0:+/9LMI)K,vn LHK17QjfATvfAF )"ꪫP^TNt6U Rx]:F̂(/y nATTEؕ؅aXq1|yr>'C`VY^vn!b'011syŕX_iID9' Q Eshؚ]\wlx&6aj`WcNI3L )!Z׌d@W[)K1 jP7 m=Rys|9~Oft (߇PW]LT 6\`_\A?^ttOmjyXZXȺK AJRQd%E3YF&yv1<]G/Y%03օO617ىh}CC}h("=q<{ E 3]0U9'}uxZ"V& N8_tu}ffK3:mb:f7`T<s2rpKtN1.K}:<Џ vܾϜg|sb&3ڙSSrL1MEI{X:Bt k/l;bN{8~G)#%2&'r"xcBS|>X*l*5 |X؟Q|Qb|FM>xG~wfW:̯7iΗRUӼO|Iqb:1ELbwybp]=(/)Ao{S5 ЌZKQWԌ i`@"G֟gbhZwGxD0ǡBZK>OŠ+0 nRmHV7`q>9A,UxHle w]5yEncSWQXZT=h<B#xwtLtPx0bpE:#>M絥[O7Q?ž]1 <yЪG0_z鯟cvP1> `o&J?ď]x = YP=N1WpC):HIL͟Ԍtd墤 025ƥ gD4W"4cJ1$ܜ젮FMnf?/yʂ~>%Y#QYE/3{ jy z8*˧}њ{eq?Pp8kRc`s\^8}JHO„Tᗿ-&f7n_naxS05<GGYwB$9-ynf,Q/QN]̨)focv:fkJc?DJ KDr@oK5ΝGMCN'DT\ >xS<KV#]<O <Yb_솶"0&<{iy&ܾs|Ͻy\͐/Í|=s$K11;"\^QܓωE!^|9u`b[0yr%֖Ӎbjn 5:<yw>e%yGOK0?w6%=Aum. k)/C^N 2CWS{Xg>_[_o-ؠ_!S ӿ" ,`_Z"/*r2Q>WK%0,uʲt8{T099 C4y\NWg&p}U<zfY %@~w h(+Hg,߼2M)J<n@u54ޣi8u O..&,-⁎F6t 3-.4^~HN<OOiBQ$T\Bʥa GQF"Ji>.Dh7يB 6aq|Cxx}I;7-#O0Kux{6wy$CuF .8f kTg62f44X>66&nMɥM44]8`EzHutK!qc4{^1_l\Nzt|JZ?G,X\ @gS5j˳p}u=eHċX3054FBB"fuS3ؼF@`žxQJ;%$y-,cctN^R)Σ`g_|wH-IbɃ*( '1[q$6P/--Ki~Ma iỌw}}$ar2sBg $Y*jc .kAksƆ169kMm&nPl6+ .w KTSaFa#H}rMsQA/=&fQ+,SW3+j(BgCXU mEhQ+@C ͎J'c4biY7 `LQ<=w^V6or?0CKS;[*0D J:d $8Z[('g)kڋoz=Hcl5fCWΞĵ. ҳ8 g{̌ yb)A:A&q4$TBYEC1$ BNz0Z* P rthDTGpDj+1JI##1uf}T$,~^ΰQFYRF*0_{_^VPtG_ l5e '-@)#t4ecz ]&_}dVhi(,GG ZeS 4mH.1{Im$E,-Lh3 3R,Q_xA)^*hW1608DcI$;KHK]:b=ፇo#\*vyX11Mܽs SB4 O?eb\oh-&y{(&D5<{!Cz >|vw֧>E<N@.X^Qm|^2#S hhҶy/&Q$cJ:id ŢPh?y|\Q$]ks|Ns۫h,$pCf^:/$^#ш3F\Ya1 </"\vmiju[q\Fs' nꇮ.4U`e`$ 8GT8$s d☊TO(>k)8M%.RLg14:-caua3 j05w%`+.`9ouar-sp~ sE}PM{",,~HsD/[8o~4g)KuNa} !\NvAgf1'Q$"%55 Tp>.37@AyV*/yX]uyA6BcPSb?- 'hAMi>ftS#4ɨ*˂Lɯ%!.?X|фwkP+m6 D#)gI&, 6 ׌513'4f9a\-0wNcK72q+]b6]@O 2/+c@s~yϙW]l9>>\A)O^D:cmr)UtF &ijiؿ]/HMay|7}dgtt| Ķ\bXtcއ<5ܸs&_`1EvRϟ4 }⣷_dlҀޠ^汌M`;<2N1yxjXd4bJ+[ `?[4s&ϨIΉ:`θK}QSOSI 7lbFC/m`_cPa&.&'0/yW,E_歇GmɽOpClmErq u|Ѕ2tt~)ee cضcIWQ8"B-3k$%c1"fK"fy.H aEMhlQʄy47c3C_6}T&ڒ:,c卙c~`wQ]-Cr'] MX[H[\vw Xʖ }/-*D vVvwFshĕ礣 G| :4a(Af _ѤS TWbl WWGh[͏8 j*w&ZP7WxدwVx ?wΆH=@G4梃g`_| ƨgױ2s3#;4709u3kSY*c/.Z@:Qr4++4kks_h󘙜&ujd9Pqݰ<9Kxz - GHYTy}g33Ǐ7-Mj_q|'obdq>}w!W9~)rSC|Ϗw/ޣuچ4(igFaTWQ_Dbux& wc_g/iŝ ˠ7 ⱵWUan` xt oP A6;IQ$]ÝS|ا pk wOM/p㚨t|L~U(ezJ;#5d_Giq!!Gڵ 2228p`AQڇ'T s cdR KJ,IXZZ23ƌ 1X V<[^9D4JW._yNr+K  ܐiK~m<5Ncop^ .Y1I &1]tP8xEzRR~&R2Ν@z-Q'pA=}h|S>8E!alfA3e]S>@BI@S bt]keBuԗc e ! wӀ$!"<f}LbPWx2dxछ9BO9!%lp.a 9:4 LҀ04 bMhx ni,*DS0WAtUR8 #- LcIkhjLI&}rc z&>$Ip. U(,E,N8Kg`nj&=~̎҈NLbH\ǽ; bͲHL Lx!DmYqzWA{OH&[ݧ}' zh 稣wv4(h7\f$>HB'(ZS\\jnP4##& q'(7+* Ɲ9ĐT*M4 apd d5Wp6<5$q' *]cŕNay QPRT75b{I$;0?k!$q GQ8Bsp2G (yUYN*HzpwB'*c!FG5q񀁾?߭4bE@7Z )B,» Sy 8hj#z֍B?5##9 p0TD֦Z ueğ=zd YHJN لصg/.0WV\ _W;x8@Oܠ %uuJcC8%-C1IaYBi)Bq%<L\Ѐ_F|/<S5+ ǫUxg 5p"]5(tqGVZۑ|ƆC 9L}g~+X20XD21Kqϸe\ủu4M]H-(n˨)'FsPAr+a X-v#όMS+lb;ъҜT;#T#!>yJ@Y^<D9FQр3 Hx,]u/-D".uk442A^>4 Qz` uT~y {OL6H[=~ %(ILF}*1*D9{N]~fV0,)#UP +[8j >|^KF'li@abl/^,^_UD!%m:;@#Z OtXD2<02QuredHNDAi4 tgvTn&q2G ߓص{v %5uaWR2wd7tc;3+}€x`lKs)Vocơvΐ~8ЌV&O5D%S}MXlȬjYXEB(Ar#N{`J36G nMgVWV¹3ظ&I6Kۤ$j M{pDBɖ"un3鞀 STAXD =L9_7G;/1E䦣͕(ؿŨ*IE\7<&k`$V%pہ2DM$8E#44!GUkE n qtE 1(qY| )m1]W4 V&14:6F~KiF ZaΚ0s: MO?ogrs.DeYGSY"O÷^"'I\҂)^jA avf m;- Фiu6EX[/bn}6o>zצo{oQLIؾ]^Xr(/`cXbRr_L=1^p҆9NYZBFAgЛSPK[ih"'-m`( udġ>7Oolbzdzyr2ɣ%434*k} }@=rz &s>(Z[,UlQc;ͮ\fTS'-}|qTqľdv U%;c* |{톶&T5hT娹`icǎSLI~X0:\ehTiwƶE"~hD`FtTOZő&~>j,TTP\s8큙6<boʛH*8h࢟%,QGAIIN2ꑓ}1X(LLMKEcWVR9,M bm O[x;9:q:ښ4T GCU)FZ`W|\Vd_@s].J)tdF~$_Ga(_GhHtEEb=wuA_[mLad?K[Xb|̐'GViP04L;t]?6%v" ?EeM#/Mz90RIPNMaqjjuṣ3hc] 5zZ"}-9|=\τ5/h% vv'ԼI'b7bW5z /V)O?yS'x`#}X^]'vWf{}qvkKRU3?xO=F}q1ŬLMSQh7b[ ކ2,Arli syv!?2rQvw0ۋnѝ{!̶m37K1 ?@ƆSq}mbM(z{rQ.dJu Dwr҅Xw#܍@tu>ܽ{C^_F ?&CGTTRƚcXXp?9e?*-њZvrq.<~@ ~ylZgV<]Z]z<ZƯxz쵸eSzfŒ1i?/4Wq],q!:EbK4U)8MqɈ C N9;JR VSPljP8*7'[ Qx>,|=IPTT*PW6ȾʼtQ0{"/sX ʲ+Ks@_y4Q0xs}P䎪9m'aH?㈱\,<+*g6O/̰)U56D ȯI8{LZ$o]rf5dg"(*B( xEYH9Bs}I[)BsUKq"6&D3RɁib'}-YXd_+֠_YVLBB7A5Cqm4574 b%~%ğFGG-2.Cmx޺w *Wre#=+iLq4<ed"?/ WI)\4.Y"QW t᫯ CeE0VL࣢b w& <nGh.SUeS)C=\21B7A$ (յyhhv!W]c,)A bv_0cadƍT)jO:t mS(+C ϫZA * ",,̌f; wGaAi6y%S, 1.n;{9rŌ y~W㤻?߮7TCn, CGb9]Ih_kdWvR TB.&ᔽ:왔Z8>h*Ƕ *9SՈ!JQaO78ˋ\5!a;(+^& cE¡}8} E%lߊsgOc=8x0p!)09`L"(هKqXX^X+rSN83 {reQ|)j/"5Qx ).N\5|`~2s7""ZDȢ4X -3YΎ *`le%M<$2{`a}Ml!krL~> Abf*BcB UN8wb Bh'<޺=(H4G] B¥>:ԇu qy,/Σ+ B~<pt_7Ͻ)q!! ʲX'/%d H)ODǞo`("+8Aѧy? 1giYYҾ1!A=u Κf\xf|L^jje x3= Nb?M^=?rElh@/Tw6TγO9Ђ y4ޅN׿Bv]s?2M ?mA7@VA.+͐(d87NrZ$JaF>۽Mڿ {g2"@SO\ 8sAN9傸 aT,[[xɫ%o ÕaBvMhخSiWp@1J.Pٍ${x9( #o-O7-pCcy6"UU8 CamnHxyznȓAVC@XH8Th2dGD[bسsБC8 'WwiV }&:8R[#Xƃ[Ko=MEai(Dq G`;?,D]j[}Yg殃юx|y+S-C06HS򅴜Bΐ#E@CCLmЃkWQ|6-5ml9(7~3CUTCGc6 .0p;{O7xRf"bO<UW…8\MTJXWد͋G^i,N|%kZK#4 0@PRtrIV-M%Jf 9'st3^/FCCzxzg<,<: C`DX8Gd,\6Ju<=DShqT~Ԇ-0'r l)j>uO㰠Pz} Nl C}vj'`HpѸ|.e4 KҠ:(yN]twMXBk=!ۇݲ-ز a޿[Z:~6z;qs_"ؐhl1v8v#񈬂 vێCGS;c +lj}Pc8[⤟+Ν=P,™mcBk2HՎ^i:أ cp,LVvBV# 94h' if ϮV a~Ԫ<hGmT#*:JfƼ oO/Xѣؽ{7v7me~uo+MU5غ/$`?z!Ǿ0<a{, r)Տ 3%x8x6[hD+uJm<N㓫x<QKnļ_y >2{k I 137yU,, +?:,-+_jU88B^Q?JxwT[ 59X4)S+ٳq8Jċx&']PWK]k#(+83X^D\d<q:1 㳳]igƒfRO2_ȧ;]ɱ8vd7~'>{y y^>z&+sz~@DA! G`/"7"6"yĐ,B `Dv쀳,*5Е+ƅs7aݻ갦pFHLtu $NS?TVH/-aL<yXcM\ŝckA?Fs/Ç{صmvMmu桵7 ywg|W7 w>GNNJJc<@o۝ad }Cu!<|@[KV0;)Oq{=XCP0@-xM=N-`?~JX;~HG Thw'&lh(#(d #+ľ}x0bǮ=q+a޽0=2}=EţػgLpDuU%~ IHWG **8 03҇ ^޽O޹[ø>ߋ6Tơ·9Bqo_zL՟Cg^Jh$doabx{1Ey2 sb0((.@W0HދƖ.T75#:£\p!) %p@v64 ǡ߫p\`Ac.Jif=\`bg [ w8A@HҒ PDOBe-rgp1>Eix;xr{>ksF%-xm'L<Wb 7+Ȣo)y n&?3< QSP'8a|ew4r)> ֎vprw ,axs1 $;WW$&%1183f`jKN'`K—"F!D83#^Af:H7h"#4ι\s5t0Va`lsh.8,/'W:EU&C9&nepT0TdpB_>~IfH>lBCe N]$4 =tHSV =)D15&PMC+w]Ō9BZB?# n1~ o;c>5#Y1c}hȪh@Gbdk  Q~D:("Gp6Y^AP'wmmc+|7cݺu^c+؉:죝۶w7^gj2`gMه) U(4&&8&{&t S_|#m<ݏ<1sm@\33"W'5>ٍɖTEr3B\t欅@|2((KQ3}{ Q1e bb~mMظ4~Lj / k ͑9:4J47TZ&p tJv ͷ7EmQz/jo۫xzk=/.lL0z[096~'$1;9z #A^~}Vpse2Sed6YXVHOhŏtLlmob =##Y@А‚Bez+s\pwK+\lj8pWWIre(yݛ m-Иx Scp‹aA:P_-PPBeiʹP x.mWCLSA ô0s swrezzP 3Ԉ{~{!+G!'PG1cd$''f:h+;{iv?dV'4|1e+H:Jptq{HSHݸɹ XaHM?$]rrW*إK~9ގ&L7PTFfY N2sq9Ju 2\hLӽϞ"&EY&#-ޅدd0kvl!~oؾMl۲o[c|n MqpN)ܨ(lG{|*́]25a=p?4 fO??Ҏ7瑟~C핸ڴptpؕTCR+Be |*.b %9 ͼ;C{e35^46 ^ޮ$,"M]qDCj8,{b M-' }cL,( :7Y `Z8!6uRExpmiO.HKJCWG3Ɔ_R*H83fiWWϟƠ{woނŖbV +c񴁺Al, 7ibňrr5 ec=sK蛙nbfc #hjEύ5κ9#?I{Sh(]KfzPW@!Lv<™͌aI}yJ6k@BPtt vm4WKE!/ E{s9yg' + ,.H?t,}~惐%enQGBQqr`f HH@b9ֵjiÎmi{v2fEpKw+il"1@[#<M.cXƉ:qu&7;b+;qoZ}F>jlg9n3'*i~Xt."Ngs9䁅VY7_FdJ.c~\Q~MEԦKöy˛[x޶X< bnxu>khM=]Mm,񅕕tE-̼۠J_!wTIAf?R7C=U/߼˜|]'.O&SxH؟kNR˳ |xWQ48m`|d0?քt[R&^HAGkT`y{Pþnho܉`i)Ax1Uic2刾|Lգ&QW`fμG7E!#+A}}="#J3ꆪd|_}4_zOcnUEpIrU*:{13;_⧸ɼ4J PP ꟏^4Upq j[{W/[h*aae^PۃAQ`jĄzA<Lʹhv-agi+c+N)99:ILPPGG8C-} jP>S~*12@u}9#iq!zp:*}?GrEZD,pIp'g 4!9z-6=mXۜ. 's3X[E+50u /c!L^GA_ME 24a S d 1o]n Ŏ7vb};%{ MUWNh#`bN= gxadVb˳k'G ]G}_ۄ@2raد]ء+3-<6|8l~6 [<w$CFI%"Q(Ɉ^4E{{("vN18{7܍7ֶM5e?]vSkTQMJJҀdB]E *$YT{+(14TM 5  //ǣi3f#> b W/d9nb> i(ϊCYZМ[Lto-Js|Vމvt wtm/*FNI Ex' ]&% )~344D2]aHlfk~pD>QgP][sQ EYqv'/ε%&nK(`msg0шn,MP a 4S-"ϟGad/! ZHř'1ۄei(wҀ3,`hs[k֔fB9Bt Op& RO::F<UӺz D:NKC4$݆d9 _''D{#! v|1 7CZj36>FeEzGfPQJn 9%;|!CS<J2}i&qmy)oVZNQU☼0k?18dd|B prԤ@S, F44We(Cs]EЌoav1x{[XC<*շ~5S=FAj* ^_M$ {kC}\)i_S9醉Zf;0RP?.d <Mw`7<{voJB<|?s;۶7IU ’@ vm}Z8-LʊJ oB7h vq *{;;O?=&N \m,,>ܘiEW]& E)JS^H/^^TT3:Ax!4^iBM:PTUL@MGg`l ;2n#8,4ц8rd?|<,Zqb `ae '7w9;!̹zÍ 33}g'7~^>U;ҔĹ.dd 8vpoj*09܏+BlT0G+c\]'E c ڱXGox*? g=akO;xzŽɂ|fjϤjM`K[[Xk45З=gLo<7a5opprd"|dἱBi&"s_*\'w,Vz{n o'DCKJl'}eDz_/J#=)Kmxk ؽo;T`.&TC@8?3+MXXTi`-8&w6fuCbmرW 4(wWaϋ.NX^'-)hU#"al"gn>j<ygط #Arzأlv:1?ڈCӟZȪ0^+B1؇#M58iDuq6<s]:E[}6Ltxܻp߷w4p Fa۱| ;NAh< x>myFZd xc olycxbTVع50ʐ_ #mu#_/a"2\s.BW&QJ37eRI^ P$"/G[{ ZZ[78qF{`eHNKC@)fUĝo׃5"A%8uCs~S>az45PS܉" ޸apv DEE͂N ^<k|[4}p+XBiV.͜isZio$fGTU^rB+K#,/M⤏35Lh`'I3^Wg{kxya|L*jg //;xv;,aA,ajeB[Iݺqy29X3C1k s| 5h1+C h("T+/n**8#>> p7Gt7.Fu@mq'ߋ4bum} kkW1~pQ?|톬Ȩ~f5` #kUoe:A=]E} K3 *a+|`eC[U_2 '~'P$:3E@6  sU5c,cJs_9,?yGTan[S=\<Hrk+qc_ACt?}Me*:FZ.Bd`?i={w`7ewoJ ݱ ZNCb| 2Mz$oyc+ut-[߄9YoPğQj4\!6?GϿƯ~ >~y *LE 0Tb<^vtfamb>RbN81xwL7BýqmJ;{QW"9##* 쨷Ui:!t qh>>7?ڂ"c|-]ӧ* ڻ9NGvi<_~s˳}ⳇ6̕9aQc=W02ԃA tA=a`|Kq̔16Ն`\_goĻVޣ5L3DB.﷦Vu=ua`}K$ggJW+az(|/X!y'c P  w ?OeeЃ)zkl g L8dby?ΌPOT )X]N8XASEC)fc?Fpp"tTՂ v<f7{7E@v<&&vgB\ cb~]%[1߇0'$eFkg f0%լE^Ak}.ĹKojU" H,F\JTxo]ïzB QzBOWe}g0/g4Vno Zj w+]%@-Y9w4v :DuHz\*ؾGQ9D(STP`@Vd$'"{1 B9>w ܜxLbƁX3v<ϿocnDnj<?\I摾nq<Snd2vuC\T$re 1Xn<P|7WgKݿ}3Auc rWk{+YF^0"iCC_ǎЦIR<Lv(œt݉d古q:&Պt$]A|;L7Tsx6Wl Fg!ⳕ¸ m]k4E př($?M B4NZQGIq ͢3]ͤW֥{:"y5]i(lx,s2 CЉBsH WaQ`,D9EDŀ#v?d8s`眘-TQ;.tA5 1\>SR…H}T7Y\.-C{p&Cs{>!c*rPP#A4ؐX" }=8.m-EhホVP9 G(@AqehiSx]ҀSS[D-S#3#/En~.ʫkڎ\G=S\C,GD,BIa1;1#0tO) acO@ں -%p! $ [cR;srT]4Mm<&iv;s60c & m[hغ~?} 2h4vIu4o !;u_r6>2"GyU J׿/%?:~!08WsmX*RǡwB AOC5JS.R V\(]IS~NIJ00Tq(C j{FZ48v~8&F{C a=㰴4hp=Nx#ELO;t/LiK~cq~ '2Y^Z c5CY^&9͵1ܾY"6*ܒ }Qyq<Zrk@x'OceZ,CW'w܉pKsR*"ڙ 4<Fb=.y䮄:@}gg7|ؿaL䂐#GKA?oɳ*%<, khށ ?18hPo #(lقLC8c Nu#$4Vx퇯aώ]8x`9]m'BohU5ƞ!b_\Pŭ,TU<CCcבVLO> =U谯yn. cFʰBd D )q..F(=%e4mR:?~(V106bqoAqq +05Pk4_ }77bRzBon OBW(,˃ 0>Km 5۹M #61h N4 ᎭJqKk+ͿC 11Kx-Wb vSd3۶8rp/T8s_ /Q@f>0R;  ")yu[ Gok#|:~͹ ]Fuy6~է6]iFbJ2<`hb$ dV}m IV4;$50}]W/{imkOLf8oX\N\0o!=5+ }O;/c~f}WO `wW֖ vס%9h*E_{{kh,>D8H~mu>9I羾<>ߋ߹૏7q}쨍@?Gx|SOY8Pj.3eSvt@Jj ~c|>c*!y=F T(맩B0A[KjE j]0ۍ@o9#J;(*G`%q~Nho Gyan~vvx[w~{2d1*$c2į:qez-c9[64BE}hT堥`Sk1((KS*^c<r\-x18ط*Rp\ <=ș(E[{nDLT?~ ?|CshFkP]TR0_hϐWR {_ƛnߊY#mWi?Imf udw8 Ml?q~'߷o {6[_ǞqFEruTmY|T^>{; deeV09Uv>g1o?|fd"6fserЅN(Hb sӑ{>7;1ؚ(*|65!%1..~skkAQ]JԮg"3_]m} [:{ ʌrz.А(l?ddg(jd'an |~>yyO?}q5~*zkD7 2񝅮ztu41(*N=c6 J`hMj۞jAO0ӗރ8(8 (Edc +i'CDYvOs(@(6"?UxL*Jf%]%5}p#nPv~pD8=|YV w'1یade`qn.4[~:;QٿTNҰbOIE熆yY b2 BU?8&D+R2҆tsJ=M~wO[УinӞ'p1)Oᤷ7RQ_ق1ܿod&-U| "4J)lc)Vhc)` Qw9Yw n ܼh$){ci݊q졡3D3QH %KsC5b.1w\+-U bXwO/k&+s.NPT`jHNßK);=M#Xs$6ChB_&fRe5u-Ep@0{5!1 :ʤ 74'Oc`lU050  Kݝ?| |0# 88@rF&A(@WMKQ\pQ2׆|ԊVIIgo٨BkKcmy qss|[ǍY|k3C4lN@ W07܁7~Y$ FJ5t(lPZs$/k6fCXFvI҅q&H% գ 5!!$PxyD^ z“_P:8&@>A Dq<psL((H D-$EO] a4u HLvFn^hsi5 K*_b KFU_K^WN2byޑAG[&&U ͑6̡LT |9P h驱oaZY) 9͞I.ƈNpuDžgPQQ.Ӑr :T5H{ԕcSŸ3ߍψt܉L&:Xga1YŽ9^K2=|jM@q&"<NNGx~9ر}d vv4o`/M~Z)^ y;HM!LbBcR} ? _Ͽ/~. rrjٷf4JLƖPWSǑCAtp"<\h(pn`z}7?alCB!#r?qR,|}=R@8 jPc );o.L7ʋ`f! oajow~#22DRNs[v%+257b R8Z5B̎7h}u4S<G"#P]m4 0cӖp+.DQ`)av]Y'jiN"^.0S8G@P ~8#̠?IDc2ac+?yE c'i•i4#h )*B 8Es}TA2 ǠyZζq Iv .w D"Ԝ3)<$l}5l{u5)+nXzJ^[?Tī! E.B[_6y((2tt )!4Z= 8-: Čpl-͡Kj``b.UM#g0U]܏?Ƿ[,]~(B_[[ cç1և:^0=! jy|ؾ}t5q X)x5DЄ‘qaiĭĬmR^xf&f:@h0y4)xA>3k0&!??K%;wPrPkXiBGY^¾'GID:hģo)0$F=!!1я>B|<y~ ."Vv&^"1($.D{bWgQRc}u nX^v9r45U\@/S/(? /o?g ~ߺϿFG_90:\L]h-A՗aqr? ~I^RtLTB_N[#C<p3͏ux)f¤ͱnsSM<QkBZ owQT?G "BC }غ4ԡJ|arWѐc2W80y,s7{EEh:H}UQZJr WNFDJYdtE3O^*۷nQUcPT;96SQ|pP iVT]OUz%x{8I"-yɈFFUj }E Km0V<OJiIQp~27.R?طد(*b GIy%rbTWQǑŮ[܉[\cn\^Aāٜ'hѦbܣa0"`Z@AZ'=v;`#w`.=Ky?*2>xJ3 ,SWv@cGE>5"мYbFo@SU6SϟG?ӟ~_'䣗(˥A."X[]*iIb 9 OGNLz+/cs}1/01>ζv㸪)K-B<OI!6vf0'RF<\hnNHMaI-! =VZ&;<ԃԔdի_kKn3;uf^ F;`fcm5np_3nmK3()Lh'+r0<ځ|kQEH.&D(gקObmipv2VP2 beiSu &6D8 ϓGMxiQ9?a$TWQC8c ^2NSa? Svɣ&] vq!++>'kُ(]AjEjrc S?e^4U)cGBN0탑 g2yl1zb_c/L̕iMg=/(?M`c@L샼 - ,`j`w{ZzIvs \L1`mD ;} 2bfpۚj!ub[X\)z6ii[ 8煋сL00Fhhh\U g<jxi}7H D3dIQYij8DؾF@,Qu  ,;H{d Le 2r ? ۿ|FA&F: L88mq݃ &v;wX:E ʙIhki@dXƹ4U\C[*4 'tilii(f@P10<E"S[蜂7E bB}]b^oAfli K__75ϛBh_d]nOcE뢸l@t|g@zkH7x|+] 8;3| - %Xl)AMe\nzx-y ,y} 3=HOtG/1hhP=qNmLYjJӵ)ʼt$=`hCdhd#u2pw> / řGp,kLUT 5Ѕ ܜB`O 5( acuÓ,ffffffffdK,e1ǎvMڤ)N;3:WY}1^[p}vNZwNvlaT/5jowtB4`ba6V%PXI-jK`2۞@/aceGkgM0Iru5`o[<,zgOIiX?RgAD@ݿ/oK"ɂ6Ms R~.W.>`z_|\,tu[ Ɔpxn;͗<W.=,3o[:0G33%bhi#6S;ʝeKdTB\(_+J(PB*Ss '(2_`>ɉL45ך'/O |o?kMM`a(ʊ(+/=4jJvGqtNr2IkEbko2 W`mڞf Ңu )'s-,WT[JzRVdűsGg6;=|= ̉},_: Z*I{ӧSYOV8Mtn9x_1gNlݽw<xčǹwGnf nbtiX{1棫<u_m]WH}:ljSK=ż(~Ÿ[X%fM FNb,bM܅D)%D(SZK(@-*f+YW`(Lxo2<DgZ4_,^ Rx8lgΚV3R,Hr1".R<Њ$"#NY9o'u\s}{1 s^(Xb:Y$.RexLl?4I`a(z FX^*_O/3Ք;! 7' H!JAL) ;WfhE c gx7xx(3^}>|!bc"8q{'@uʢx܄wM2o\ %+x ~55ĩGe1o,X \LX7w:(5PG/ZP T{-Y ,[H?W{ 8_,457Oj`/_~ןgvo։ x8a'+籢b\\'#5J.:͛-m;MnZ wo]fݝ:ZcRUKݏ0-HG1>u07XIrs҈Nc {|]\$\8 s09'3 pKx)Μǐkד_UϚl?y ,} ($1>Οɹ[9K\\ŻWq(wVóNp_DaMk t!φ g7Y<Q>xr}{0; ul!m*M%Dc+Jg MdB&輅hw. %@ VDkŰ/-`rrg1{`)pߦ E&&)3 \qak}b="N8)TK8IzR0anT9O_񼜗O pWf2@C<u)s%Ζ@8N#S[]LLu<m &**P cf)7sITL$F؈~hI10Z!^J y=}$8%>͈|~, 1V*b0)gرYp-~y)1صGyIwym>)Lȋ߿/\dG'78wM6 'f6)V+Xˡ{hoZb)Ļ-ߦ ,_8`Jye<2_r%,1ڊE:_?~7P]8A pʒ`r pr?Tj1.;][m(ܱ-=8E~Aiq~1vvYX"SCcԹUze[F E/p`9e9#8O*Hu?(}z VM p#Z䡝dF| ԋoP;mOnb3DmOp.)%tm9G6sI2܍ueZ. YIFG%'o#ڹ]ŃG:i*O)26\.>D ڂwey: ɈMjJ,fTg 'k_x2#cWi?W~|R'[{>%`z,M"BS2E0ؒ,a|$Hx,{g="rgOJJl%R'<zwhnΖ<R ſ>~hhs՞EfZ(mxPw1̟Dc#sU :دSpp+.: ԛZ+6 '<4R޻?>z?ƐMlhC=H 񕐚.kמʯ>x#[|Y[֍[J[%PO_m<(+H%0_^9% bB%o/'/+Rb Bbu&? CA%ʣ:`TR fK-gT)` :zZRCuS?|.Aמgy .9(<Jw{=5e4UURS^IIa5\]^n_>ûHܻas [;3H1UIBt0#Z++^WkE"c@ٰFY7c}eąz@H+ardyBKҼXR>bLXAhZk<&iEvܷ\e(9^/c<yo)4%sQ|x;yFzkoPPb&ʔs!&lLUS|4Ƕ0`_ tXZ#`b-X&&*+' ? y* 16v2\W ^mRkeAe+֦PLB|?`r|pJ/s3jnCpw"ˆ4b T>n|&B.$DJcS1.z2}t޸BcҠF_ Zz"hKݭZ,iZ|֐P%{xبK\TY+(H9'&"7Bge:zg }B<)-+JBRl(&"`!/=UiEz&3<ԋ!a8a;w.7_ F!#|} ,.D2 <=p'3J^%؟/Vq}1 2w3[3=1JCM3zyf!o|e,Ν$hkk2wl ʣ:@.PvFPv\`^Iel8O?~{8"w릫ֺjjyOյʒ ?~{vIs+&oƣqQތ?LYr2zFKc *A2]$#>6n lWb-ny: gqİ9!ng%5OT{cHvİ* ̝I1!%PN>!O{c<cbݹB}Y.4GGO\\K'vfpZ)!@okBB@a$kl'x6‹eu9&m kD, u)b )00$K>Q`hBUz$iXN`_WC&/Jjl'HV$Z H/" 1[cO۟Q-R_[P 1Ċ5VZK ?%Fy=1%Q^G ]ʤ,B142I]a.a=Xww /oGԙ^r㢅È &&> O|"7W?fR}%u<7ܸ|\_8wXjHY^$op+<q6M}m&/͟ W3V֩{W$/ZJCks&K`V.fy f@KCKW֗wW ./O)|lV9 /}em??[.<8ux7[7nu'm6TS'\_;x?eq;8g3Wsb ҜlqrsdhMU?t0 -& J:6=ӂ*77qjS6ݭ pu%˗`yX1߇0 o+uLr3oxzixyKhQƳ&:Dw%9_&"'D%'<>ā<}Y~MH b_Gλݗn}墺#Fpj`_6$ML)&*دi]L}4=7TCq\$-ѠČ#CR55H\d3?#肟UZxGܱ><T:;/|Ws3R?>+m-Z(Yho}.rǟ>W>/_S]^fGSD՛V˔RF{o6&(;)Om|m}cS%HDHxחJh^h=z^|7 lEgdNJ #.!Oѡ5L-f@&:N]+%w?|gabc@IqqCpd?g~ɫ^]GQN$>fj0V-8~f̜:;k*mرe5y)fzZ YḤ.Tg +ʲeQY.[s˕g Y쌖 }c#4txF^g|>]rvۦ6Qg64UQZUFjn.c[5 \ط ?8-|x@Ÿf<~pH'u J| ۩*DKs2 h+Qt6?Ʋ(?]d7䧰mS'0.>Ԝ@{"<$.ؗS1$^_;eT &+*H&؏#< Xfo\#Zf%.ޏPԕ&'`O/MpՂ(6o^O)NNV.rz'o='] 3p#-) gѦ@ W f4$-˙ʚ MN$2v=NKV<o ňNL%XE\YhJ>YSJtsdmsl&5w`|-In._g Gĺg$<<L2UF_/?}L]uϕc+n3DCsrey% Bc6v8ɵ44\6H45OGjJ&AFF۫ϣO/'y1pt6WNTRSWFJJ>DG4{oy`2d B}_C<Nnѥ`s/m<wk_S{x|hYgPOeFi:l%+_tcْ%xbB1 ,RX*'_4@ ! ,PB@o-Ɔٲ?sWxr< )39'a[emOl縘pQ_:JYE2a6!EHhdAD u30&{ l-/N6.nd}lZ]Lou,錭fT'HO}A<eٱTf dT%DCGk=}ݍfqpx!Q%VbߎWvXUAbl+d9)&$(ZJhm,IֹQl\ÓoӔ{ e돟uly7Xp;RJ}5q4@Ws:LG@vW(BJPWR-  l/ . zqr(yʠ: Jr7QBQ,H$+חjO[E>sO{AbwJ@7#\]C ::Ip"X@"6z_p_{L "f&jȷsd!D;@b|eF ..vDAlD؉A }h!71P6Kq @@'kSBvA4W+J~{&aTjo6АNke"]9&*`vCϹu;@o1uW[Bs'fĥPIQra[cd̛3EHL|1gT}Gs fb3bdƌ7Od(,Q?Q鈬r̕]r)~KRV-(ݽ|w_[/;/E~|{|:SRÛֲq|6L[m: G߷['pr/%H}PۙrU- IN!!.1憜?q=6b*Qgz xpe7wLr`/{6Vrdgh6QBƺ*Dp׳sC/% u6RSI[M鮢8'D[ē*:Q)<;m$,qj(`@l<;J5 E֑̋w/n_f4U釞<Ow58üEN"?5Eą8b-o3Z9K =.rDt'NUQ-rLV dAȑO? Ѣ~搬m@Uz_HTk̛ s9GjTGj|.^ 3!~zZQSQxR]-zPſ,Z(&BSXCx 'KK3lm,sS|س|}Bp):LYXFK1[ >^.%nEYBCed,7bOY>6 `Ժ࿾$-C<߾ ?þJ{$u􄼬t)ɏ0+y\#Ԙsg3O 2xΜ*eEFZ40_ᇧEsg8gR&?̚1C-fl, r(SI0SJj21k@5;%(ן~7/$a_.<66*!bqx9==U󍋧샷)B!܈$1{hc*{wLɵ[RZsxAk88Q -h6"uWrt ${`{\|jsxJxa:uPUR"mѕԬǯpFIΗ#FZ9w\ #79\േ7k|*oajt :sq|t |YN"_B|`K$@._:+ mVOl|l *1Geד66mxf!0X8 n**2 r$ b%.[AYdh.?#'s 1֜۾3gHH$640gb왮[uSM ]^8eIuq`^{p/{NXSΒQ؛ahdE@@xU}Cx&WfZc+XONJl\:{HO%!Rre/o/; E k`b|aaxx!8ll/<b(dv {F*J,P~uax$aiۡ1V)twm\K꽗,'+-Dђu0imO/'؜!x~½̀YO?%8ޮvw̙O_ysJ>XJJ_8X8e|el i{}X.o,>Idrrk>}~NWrEF:ݰQe`|ofxp&8k+o\xw?Ұ/v.lqQ$FxbmåsGrt5hޥ=:;ɩ\˾mMXhn=ՌWpz['{$-&Xt\* aLt?҂8׶}"%DUexŠo-5SGx ykl"h#kNǺ61h`[e`}9=9DL?UEDRo&[ 2&)ü/^?ɻqf1YLlKV\1#s--e3$?ְ}r .{xJbV$YYρea߼9$Lg<|,'p#P5QA*܈Ex/1Oꇧ=xxSU/=/u?=u%#ew"_f=Z5ޡɬXSs]uIQrZڱ qXYيF}GB l<shNG`_tUކ Nx ݄O/σFXK_[ 1a yv4eۆyAY =G7.ՇOx,&|Qvom<wu/UByY%,[ A)*@N!FF -%0́:vHKFZ?s|yJ!!>F KNTT8!tKww1N^׮ʜ]3sS#u"|M~ͧ|C~GǯW%lSHT/^R4ns8HtG4گ6HLJ'(MDnWW1BA;X9 v5Z)33ZؓPs2[ٯLo(&l_Z鮐hOX2ČSFGu1ֶ,2'4 r\%F ^CS<" qMn5o=9xFKȔUUP\b|bD?}-<{ .W^W/brWm|X.$džAH;p|&^~IH;Z@w3LGrƜ8ZdX4vgm⥸-Y6+ + *G ґ &=W |/uRIgK |wu@EgY6fDj,—Ljj'~S__⣗ݛr0`MF|CKl] ˕Cr%dJHh)QS_OIUtюB&$?",@Α2aNP?g$H$'Kqy5%y*z'&$x~E)Qn&Z.!W֦ غ~-6/$__;9vpXm2ÛOΒEjl 4 .}|D.j%x5WHۺf@7- tw41ֶzzfUePZZD^\+1)rd$0ÂAr0X!CĬ+iͯןK DbBpsJ̎ VzmI"#ȅu442*A]v%!wM<$d˵0P&\1rVHH޽c;]Gu/GvwrZZS.'!Y8 51̦&R#K<+x 9r{(L 3$ÙDKm9RsY8&І}H^s8^IR+x\ǖt+5ɩ=bPRxA0Ex\@ٰO]`oM2%ܾtw^|7W8wdTlo͐~H01Пc1> GYC?`Xs,l%,xYpM-R)fdZm)@&|,<AD[{B^h$T=̛ R{ѤpGGFjj45XPW(ŝPow|Ĥ>go1[B\ܜCE%dވY_T(O```=tD`W JwygV"H!_9<G=6-#."@ѓPRsI)iW7y~,S '0bW>KVy t7WccfDWS5kۛ12 <<kl]'ͷ߾×_%?Ʊln‰iz^dbigsu%b-LsGIR^X]ĞmĈfx?'xH0`"ꫫՁ $&HzOJ$1Flyƺkdɼyi fcu7? }ߋ}db|puc":acj.fd$X_;m^7|qW p1R hW_{2j.ۧW讌!_H7gYFm\pWZkm)؞a6AMu|Z^VuGaf<eyEHk-0H],}یAV SIZW^.~Tm|R>ޭj(IgxC]_OqQ~8X}z={%pj/[.]zM*k}Ggh$)9G`l%;8ՌقE BM]⍕ӌI4͖2kiimK\xk+1T߀bMonaQ=mECOTeIN`Ukv1.:vo>yxWž9} i-F[2Au|tc~ij]ܸ89} N9O.؈6y ӁPHΣR<&Vt?(:,u=L_’xƚr:ټ~=q_qhnW_'߽{G9up=l)>~rXDp1&6"E b.^79!`?y-}3Cm,`ߎM.kikkOC']tR^VJMU5e%TU EKb~\asʌeڂO8_}-7_+/ $ f>G-,1p%/˜@Fğ*>Igʅ+Y%|p2L5T/s Gw&miAڛ3hJ!>Et&"lbӺ6)L4=du`j)/Ή%+%\]RECMEkWJ/IW*q״ 8E'OrRyLo17vs~8- _y'w./W?FkcV~6`TΕCYp8|ԥV!ɴ05C'9-{`-5 9p^Nd V3MRz*؏\gkMA%ĊokjaX]}kkcdgTo,S~vXz S}\A~ m wxC|+Z:5}o.؏\g!&<~x|4u';70 tU>:8hb1/Oy]00T03Ri)ǭow'ܔh|I)}~,(K #o$[ZVJr93p|z^r߿k8"k77DqxGxp76#UG߽tuT{G/ =J2i(eN :n`D'6fBBdlMU7] hgZ cڨl7nwfu Au*`sCWtGooJ;[2\(qs.,]U%8uɡNz;*0IPtb? mue4ooAVFG ΈX*b"ZUN1}d',E#ف?$`#K]R@o{-$FbEd K9A: r zZzuD{J06tIIΆv߹g?w^w_÷^@=[!pd1^w=!! lALL5F:8JRj(kt,lL%SY^v% ֑+[l s$XA\@尵SG{|uv$ɞ`{bDCi(8+UHVY,u/&""L̷FIusu&>0H)GHo1 |-޾{'yf3 I+{:'FCsK+1D狍+>^b"wq" l`=m@ @ V-mmqtަz[ဓXkk ǁB Ak 9x.KxR_$u玧!NRVCcy>7 plZ_$ `dO>z>x~)}CGI>~lWl:+$Pq /ԮILGSq<k;J-rfݛٽ}ɵعymSڳUp=8{ ޹5 o繇Wxۼsm\?PM_;?ߓw"ReX[JEahouzkM>|eͥrW\§"}WsFXP#Z̓7V89ǟ;$F9Jj%R\]R^BM}bȈ" -1c"b&3p6CYVc'8໺KxT"q @:fdnfifYܽ4vLǀFM^ [o쟢)/K6κBt?g׌aQnBCy<q7́ ^/|FEi̕^%ZyJk)KW,T+M%s}m$FN Ă]pw[=$iPPL ﺈsS ߝ]>=dGbP4D퇟-b^}H $I~.JPϿ}\.7sBWw.::pa˲E Y4uP7^^,| ւIKpiΟ=vj%';%hsPjXyr5RkllѪRBCފޙ%˔ b40^Lo,炋+I 6qp| 8_H#c#=|,zzC;Gľ>zYl\>*$` I]eq BMn"%$57Z,yqd6鍂Qodz|=73ݥ>޻v]_8g&Gy[<vcT_>=?9~|{_{7 V uGkB\lO^WDqHTG5maXtUꍏ;wUI[5.ɑ6V,_3O>N`O_=Gpy4D2]Sh%)ĕ1Z؋AØ+PwH6j19Ʉ%*0;X>͒f J}A7ce`HrljO ?K Ηs{[B7^~J%l۲M\SG6Kxazp6qx鱪+wD @Cs (tt4Ņ*{ч",A,_KK%[ka Mq3b"ߗng>372JrII"6((Dܼ0S(&@7<*!4>K}»O.qOBCg.zo"eE}C<lg#w_6|{d1% XRjH}N#`N T[Z%WIm8#a 1{*0" j i*-ؖM޹'vJ0$u>5~,u]ieۦ!S$Z_LCe`eG7s4*2éΉ*5{<}[;vL1iq&7 7m6Ą~v[x-n޼׮Os;7_p۷߼{{n9O]C >‹ZK15ҥ$3-u]uBɺz{_+7mBjAL1Żodf~Z!jw?ǴvJ`\7n qt7V_?ArmtL6$Ǔ(L$+ʸj*+rw aԀY!elD'c]XaVfV4Ug}cY A&eMv)ؿoODLJ*y&}~ml)~osGyKpK6<}R'y)Izͮ~|Z˙p.GZ~Ya!->$BԳaZ+3L43"B_=/c Jc1'v:ỷ"!*Hԟ|]%,B<u2cO3Q)+IO|G葵\̛64_r>[1W |`_0y me8 r&)3>wӗNnM-p"t4401a?vH| P8 9Gg;llfLxl,f6j/σtlP;p: lldD'nGX_˶A{9!W7ylq?ǯ=xwzs^̡ LvUUE_E,Cu Wʚ,4gQNca,E91ǐBHuQkc=r_D7:OW{Jr!+Τ*$kf^o;x5Ν!=u\;}o>{K]?_q .pphKNKQ?uQ,qy'pw(@v[1mu崈63%bRu1r \Y`1gv^KvA]"-4#H>ܤ W tQ`_VwKlbX'Xt1naVU@`w8Y([W(#A*_C*| u5rpZy[x|7_yor_!~}]ٻmpWrhup@S{+uH(k˵WBvj<a%$!KpO<*3?|< Qo**&a<;ml>mR4$ 2:fJʉU dņ`ro7 2E ȋO2 1&4ek0k ]D1_J㹰pOɋC1NĘD{y-:`1%njxb=r}mpw3'*EB=~RZZXXJSK&^nB&fظ~<ymcCعW.OoSQnoo|{oޓ_̙|cTaOq$~q6&?΍Xwӂ*cDp?֖hG6E)e*<#PH|ŢyRaZ4 V̟Kt$`GX0siRQDxbFWOoMk=+!d@L "V~W_ Tko! 2aq^ ՝gxCܕ5V;+ݷpu`ʊ%U3=Ų0g#m#jyQZ *pPPTnɶoZ.HAR"fM33͎C7[V;[i"Y*yAFxbt):n^\ FĔ&ES [-–HK1OVG34~?zU7^J[֒E>7;ǣ+xIXV&BS JWcjm@ZN"+5@iT| ";K7QQL."F ĘP@Mtfy$/^=E1&vpa6IPk@t42$la55yD]@l5iRc.֤y*GjRORrԘr4$H8Yjl`_LR zx]Fc].6rL(ͪ:;F(0mPh1QA7BXDXjŕZ[Jm1Uaf1ͣK.bIu1Zs$'WzODA16ً?|7/oWN0]A^+rn*Em-d%I \y nf@\/-OVR<IMDt\=ثw%#X2woq'L-!-ٰ<x9y/_s6@8ދkoVY`osV (y~m}E݄kR~V-fFr}|3ve+! A>57&/5 &$ć(b?., 0?"%I(fjRK+`~(:mhʂCl@Wy݃S`eE9 1QCEQP&4\Z}h*H 1//xG<~|^W,[ĕ ;yS<7e`[*J_"#f̞URVdo[,3Cp>9rMޖj- &!JD[\#IF\1^Y[EGy>{G?9IDATKy|[޸31|Iu.l=jβ,ˋf3NM?=/t =fTJ{'IX,^\Wv+wgR_ղ6ёn nJ:ʁ=S)}Ć WI--XxE*M,mppDPt+8bUn^1_^2{v o9Woߡ27N>z ~rxw_pO g_/_?ѽKןp16ylɎv\mN4r(ark)'-? KD#,O\K76RYgQXKZzqᤤbEi^ %lh<y<y"cin̈́ߊW???ͷ^$66XxwWVк'ywqt֜>-]/NK+]gFp}S7+W,PC!ΞZxjG1|3aϦ2 )̈x|m <%5'5d2C?Gk(O<ORiF!̵LE;g[X"ގ_$&HmNR4.9'W<f_WG|KyM=-==qٽE^u^fZrhG3FF[`*[LECss%#;K¶:&9!FK 4_ U{aJ:3-G8Н(I]JRg(/׹*>9̵c2#[C=k m/Yg#j-3%)ՋD~ADD{G}Cpy"ym$xډו'fLmG)%6Wl,^JwIFٵcB^vGyDx,X9Yl1O?=C)x+=~_ ׍2=5Ł]ټaѵ]j 5peU[x|K||<<\Õ}gy;Mޓg5"=Z|h2E|-(d)P''Km-qrd9Xv*V&F *S:餎*k%TUd_OKa8N>0 11walh儗Ǽ!"B;8K0 TAtTp]>{縘@p@^򵝝!mŴ1""pPLs03al\/J4| Ϫ $ x⣌&zL #6TՖ O1~$K8:h_})9&e~x|[c;XDtS[HΚ2Z (!-21dJ"3fsOSܻv}[x$/8ƣK;h͠8Fij#fv)zr=`;yFWTdx/{i*"OjJsi-N_H{uyKÏ\ >D{aC^dzK3*50i/8tVF*?0<,$2[LD.P)ӵ=u%8@@}"#2""H6(Z I'=]^ >|<x>\e)bGWo# e+S'86؞@ !4]ޜs@kg! ||b~MLeFz6Uκ5C7WB{A _ۯo`sMW07o wuӇ $0R,cjv UeP"Ի." ʕVh/_YpLOO&, i<+ܰ43+uECY_/:~x,﷯_txxc^x/>Ͼ]us\_ws$b<;7pGj#iSuI; f8H bf%c tJ5sƛ&A5OfUx$EVɄՑWPp/rq> 7zXmoOSE &FiO9lYہV&giV,7b3E ͡^y=NVlYps)ʼnAԊin('7#Qϓ߽JO/ X-e>{|'wsi)K8s# 4P*ux +CttWPYQ.Eb;}4 uԗ^WJ:1iw60*_;M+=3 Pr"<*%DS΋1b#\XQIZP(EIQr^=5H/( #SBD^ TV ;W3]3[/%n@ 4BECՁ2[0EA~ )t 6=eh*,E^7$$h 5x:-w.pR]"1ܜMt"3/CعeSڻX7ڦFVҙɭJÝtN>z uF?^5RGu߼{/]W^/rf^,2)d2_&rŬ)zfc˗hc3%=f t4tY4o!8߅acGz EJP'_}V01\N\\E:Y;D/ سs ^.b職_WzJ9miC`bjHOO}}1ͦW4eV ʠC;OKXc<81*1DfI_ MLJ!P$'$F(v2'ˑ \n_Qd?W5X spfں:)(Ȓs9;X\BABph5$AfR,wo]u3wn]ܺq'bjLt9ʛO.د53^Juo!ZwSCr2imr9Jid]o9ٌ5ձ|bhM0@bt?3}<4#.Ћp7[2H X ƍZ-mo4S}z8[֐mufK=%ezx([jCpA6$Yb|S85Pd|pY6y%a%@e`QޓԆ䈷3 Xx_B3 =\-n¥pAxy"bvvlZA׊ n#۷|~E>{&v|*N^쑍eX$uJc^e)L.a;l9sY[[+̙l]]]Lqrs%AP]Hr`?3o/>1ݛ$ AŸovW_?eΖbx {KR6]ۻ7B8q& oڈ'7mߏ BO꼻H4AR:ۺW|3aWLtY',/^aMGP;Ep\NxڹRU޸2 -2PWlz`""J*0mB3f+wbw%[*ފq&M{: Ƿ +qdIN)פGTFqv2r.22y{׮[q,GOld杗/sxYڋD[)yMK}`dʮ%+SP|_&iJD<[@}aTd)3$!Di*JGO#'GR!Q'kj l^JENh>6nFRې-ttfbhrR<3=c{DNQ4[v2W>K<!qCbb|pw7Km]Lw6J<5n&G9"'V% kk(I|~A>DmYZwjL^>Rgez??I!!Z:zi젢rַ1SN.lcp'{x2o<]i& k_>˱]߸JЭdQ x 8=ٌ1ccbGSb%`jSyut4m451PT;pB)[-`’E령jz;SBc 7YR@X/ [A^j,[.V edgRGK%SE?[&r|//n3s-$$Ѵѕ[@L/  YC 3yƣڙBڪR{+7&!6o A.dAsqyRNb݈<+Ek)k`QFGn`5ax kcW4!3joHa?'8\JJrhUW.bbSWՙ]?ɱݓ%c}93Moy -uscj.vj@1^DJpVڪ )ɈZ̆&Ni]\ YP&=E$s"H~܌V([}-H(]m Y(“  (bdIӈ3+@_m1&S_"{'w\uZ^إPJr|b$S<|޺B z=%jNr?' a'@՜A) z '7~RX,!_Q N*ʋk)gB|;STײq OsyrpKCSQy"XdiTummEn$ )8MLt3Pt_Rӫuxzrl/֪e\H^& ff3X2gK-bLe'Yyf& Ƈ3Ak/KGST[;oyw߸P+Ubiؕi0)/]NծF i.j l`m=[G9sj?|)?Om)ƘWۯ]<wXP 6+E4#%v.)jf1˫ŞED8VWihȶՌVchyϥbLil #.3 ~JH^qz8e5uaWzK0o>,șp2RzyEl 4yj9p{5Yqahs286ړy(gˏ|IP~ _K7RGn?ƺ06X[(RNYdD-k ?Ʃ)!=.Rq^ڶN0Hȷ&JBX|Bݬ7!ьhjU9 "-ă_O%&1=Ύ^^yxF"6Zo@rmd韛 ~ p[l4^)r9`nXWZ&)kek\k1+O+\%8I%6ڛǷK %,8Z"McL3aaD6@t\QrU{]MkW- bԊM޾ZtK3Sx,-Oqnj"p`xr6ײ}}ejSʬ6fr&} RǫW%sð5Zy?+Y)l"5X aaάQp.sf<lѼ̛b85D' }%Xb;}&ک-",ȍB\yGe;Kb21͕A_mc‰u,ٵem֯_.200/\q.EKC!bF-VH3#T=e u)ݯgNZvĽVʫ\Cbo'ғ&bI D{6YSg8u vaWvs*ُu~yj0㏙'g21k?{fohH#;!Z`׮a^gⳏxt,N#!ʟۆE#N }${-l6&pNt_;;3`\5e욞NM铲q1F>ۆ! )v'Ʉd{c7 u\>pK-r 1܋2%h'&8Q\O0G|} %@8%ޖ݅4EWcoY[X mWac#:іK~^|b[0#.4-7VBSn.{٨[y{ű#ӬPlvfHu'!ҕHwB'"› "G)I&$bء݌ H{{= S"F;8LJ\]#Gy;p2H;>($Y+!j܎9nI1w1UCm[Jh/a@A zsXl>˗cժ,U^]=M/O#ٳ9s&f͔gsVWeG+#"}EcʈG6GepM-% RωRt4WuDžܼt[j)sW[h5޶IHwN 曏x ̌Urr3q<Ka +/,=q-f[3z)wy5/:{ruXKVɕdbm+YKzBK swVV$%DzNl飴 RJap cXS< |0 $?BAe]_ ^B;yYF۫Ȏ Tj>{wۯpYc^}E.\<řIux/\k7QOFs15ZJ,-śۑLdLp1a8RQQEdwsj.nG;?܍h73GyX(q6Rc>khBR?5yWJK">̕;gT/:&6q2 8ʖ$gwTB\\ p^rc!vn'jϏ!.G:8/f%}ʬH7%xJ6UX{Ξ@|M-헐Hx`ݕo=?DJfR"'ĐOM]/σK2<"d>:kEK7oftusF1d.K𨄅FZl)85ͥTgslsbk'kݣL T2SJkU"4VWH0mMuy3k\u eg9s ez#vO] h2oA;18PKaNEY䦅/![@? rغa}7s^=k'}+$=[<Y=&w Ir-Jb,K&@!z<m_<X3<,1)TU s] y,k]Ri(0#u\%ȴ7Չ V'Q?|&mbb[X?GYlOS }!BAQFwK#' ƙ V+HQWSI?櫏|򦜟V.ŝ?[i/@⋝&VN8 tq 4&`C*'++CQL)/YaK%GSKG!D胟zǵ0ERflYFYy1dFokJ-e:=w^u&t'.^W=h "3X3 9KwSW"8iˡjH` s1Bb>+P+Ę `OLj"`)Dz°`@̋ >nB*D[ .3ܒp? ϓ`$%/?+=g`t6&?V*SCj]PGgm֡6>~ RJSv>=?ͱm:>%;^1fz%D3oakKe3Y,_ 3B^~o̝5[3̟7!)a%h5Nį>} fEJAz,bHsR΂|%ڑ+<ux+/rN>w/7xwY8; ݯ+JX?F> fN̴ XuosspIȣlN#ʹOQ,ᭇ\of|@ 3n-紙]~nYMmQE,%jR\5@<s#'Rpu~\Z.ߍ 9N좳DQ#^Rlg/?o?מ'9ԃ;F$(]v\?5$X*Bof 9!F͙Դ8z25rHnyl|=y_JmUFxQEv'qb#\:Mc]ej S*ʋ$;gkSˁ s=y45Ƈ* 5 =Ñg [`/{bC&yKQ:kcoG%9j~"'G ګ qSRHL !9+)@bB6n/l9>,4 '˜yŌ{Ndt.n o"~˿`?,C w`D$ݵulgH17qlLwS3O OĦVjb88Ϗzu%E$3^AQgrVnLO.gMK5H> Vh?-3<%^"93mUϖ0)$h,Y@b7qErV>U֯i&7=RΑTbɔbOPni Ok<}<ϋϞU|_w^pCbb,{޽{KѠ1T6FTe ofA86iz36^<eSxƣy8SQ(<['>iXĪyOMTwzײc0[,ZaDO:c\|XGĐ`1j턗7 tr W+WNOg , _gݏ|w˂U_Pz<i'O/͛TO%9.S6DN22GBtۧ8cZEh-IZyiЗ&II3INYp<S.b9r=Z&!1[ŸiSzwu<?~ѡZO= $HKH&ա%R^OZ#~zxEqvP/>^2<\Wag`_77  |L #ABRF$»ə vՓ_F|b)AlacoW;coEC"A6D{/A$(HSlNDDCp /<PxAWeI uLc4;qr MEIDoc͕;SLPűkWD<r|>nW:qVO? UdoDdepk3ll&˖/b<euNa޼y(^@7{ 9)(ؗY<ox~o)a|+?07_:‹Tgdcgg-5聽 9iݿSQ߾~#^u7 ޯJ8?x@FN.(.)[1M5<gCX6Nvh;01}OfS)αTuY].9Fmq2ef(f:}Ä:fkv pwwŒiLX."h=3.oL-wr')$Dw˸zh;:K:­-Vg^Cnq:Sу~5_}9@NģWvo*̢kcfzlD\vbC8́S&'ZRƩq:<o{4JK &7̍7HwlBvv8W}3 lQg87ѠF4wGo kZsyt"ŗ$^(`C\J|Ip OS𦇣"1+ 6U ;7=,Wa%8ԑB0j1@_'b$ܧ$HߙE`(57A}عc5M `JxKS텧\W q%R2b__x7su?жyu4 1֕1ў'*5\fQ208Lum QfӔř޼͌t׳ai.Q.̞uϾNvMv[xʉU)kݜl 2{\f̞ˢvK,橃3%(R9y X"jR=)Lf>7,w^KWs>iDKeő%!@1uxFo[+#l4ŵGx!<$,_xubN;6jټm#$WS/!2$ʂjJ" OGL<P3NP xګr8m"`}S:;i'*Ɖ yw/1x;WOsqu ,%v%ҖMaZ<I,v¦I%ELG]p3&֛Z}'C Wom.w{ϣ $Ɔ16>%?5?Kk(>p8GY]JEA04]Bup_^34*@qb=MPLCi:Me!gwZ~VL1q~."~XXBkv$x݇Gl#'Kj#8>ʅ]ۯ>z&m|@7UQQ@li$CSO1nz* <57P~1ށGyԛOP<b,ROg[8D4b Va`eK+ ee1*n8yzㅷoxLn/བྷ}:}k(kZ(B{ ַpv{~:j@nR!W޻!i~X0[7@Mv 59L7ggM@ &ʑQ\ٿwYˉC8ZjjxԙCffl&+39,Z21 3f2GĪKX0k&)ASSGOͻoާ&KgGWS)Yɑ!?K,p6jbmO gxxO~}~s~gܿw7{!ΝLA~1y4@]e=-x8J4SP90˥[ᷚ-w'agRǁ݌Tŵ{ ]UbĶ΋y :"A89 7c r<K3L h<OLv<Iva6!#4I c.;+39m=쒰v@t|?~O?DOn_ǣKvhWwu4;)KPHk{vnuGhVFg0OⱘϞ;Ձ׼ ?},q"E3^CL+$4>Zy(#6MmbqFԓ㋽233\c8wyA]sS:isn RR=|i FYwGѬU q$"ؔ0| qQD9bOrn^}7 +w<SbZǶ$%)f0Qa)q>$9 &@2JG v[]狍?e<M{_+Wu۵ ֵ3˙b 2f4NMNr vt`wkV7k V]Q1a;&8w`2"Z 4sisr'vWk=VH0tp/OV\) 3Dӗ"ϐ3Of2r)u`_{B͜AbX-tkh{O~egˊjR\ 7' Et+EN~O%8|ܹs <q%JJJ%=eR6jJ\4"mBf:1ó<b2F8v<UsX}a\@gMמ{Vk̉)zq]FA]wC~*<eWI <:jF?)dlON{z wTer`:NF|6MKwaLB ?_I Q^ާ.8l? ѱD5$BOh_9-.\vmZ˵{ ;U)_>! 1Ey1, 3pcQ6oaZy8-1˟C#U<8Dž_a p;8:Ї2ST5VjX%^|`ߌCEE7"$̂2ētQz̄-~ TIv af>$|4_Ol̈( !e`m'=+7B]I!{  ,n(׽NAvR4d%a-[˗>OcI2ZUoڶBn]]\<4(kÝ ݂QNJ <ꊧ*++W U ΛɂEsXLu8_wzkJ<uDԭ\(/M'O~qqmu@2[K]BPZ^Hk[ÃwD_^Wo޼Ԧq^x1Mͭ<}VRg9օT橍}\MYgL=Xl"hN<WNg{I;sn^W y93 Oؒ-:,+iXb/\Ҋ>鎂{kce+6ϖc}J-u'pjo(ܬtFƈKMݍaoo?I1_9GQM0?"Tp?$›kz >l6ʵGk-cjMw޺w/ C˜>Ot!8>uuXhӆMlk$- ȦpNK.|h ^g2 a;w gai7r$ꑔ`MAXq ..w\6^ŏ?%:܅&o%d~~Ņ"8(?&BT}p1G|BzJdR e+FI-39\"6&ȈW <XpArqq?CRHNL<wsd].me44wݽbK+b;y}<Gla(]t5T15.`Ω=5ŽvDLŅ=C\ط[ 5@O ?v'ky5g3(3X =w*Pf( .dŊ$Txw%wkwio. AU^LaaRy{.,ܼz#o|\ѽkO;.ı2M=;SVYEV^b80$bmB+]xơTLfy1ý=40ݙTw&mQ{6dƅo^:G}({1EJco$Eȥ,k5+JLN'Rʗ߯K u]/o#;'Y`w qD*!9^xx|۟@|CskĖVnjھP")*a:Ww1^.ǐͶ->5}=9n[̄~9V3-55S[[,3Ő7 #<Ԏ.6謢\QEC' 2ٷc'YYAie:5S<:;=tzgQO__#-CtqrpCo1IΔfH #H˕IBztT'TIUNř!n˷BL{`|b)*CHy].sh)</Zc 0 !J*";?MLon7€Kc䉳gDS ַG{&~Y'V fO"?=^W2~Շ|ܕZ 27I mճ;+tT_s8{P\80"wK4-H#DQP[ČgQ>抙D<3b(拁Xv7w&@ca6;}]WoStNUN֖fHϧHLD^b]ej3Njgsq8Kp.o;{GcN<x9b.KifB)N\69hZ܏91̲eC! cAu>$!؅ZvU'G Ν^u36K8ʙYQ5yQ%#4AZWgm9~8gg@3)>GКŶumH84V<4-}˧z1QP_UƗőO_~4qx]x,|`5~͑sKWywgɭ^y{w\Gok);&mSHrS= 0YH-1؛.ggX_MeʈqMcm05 'UT%sfo_NsFSc~Vbnp4^FV`LQX2u)O@ w=cpu%x39Rھ 9UgMpEs9{6a !"JE;k֬n<P-5UX&&4 sŰQSS$z%))h Ey45T[!YYhbBOm 6rd[mUn&m ^ϕ (d7}Wo[Np. RI/ʩm|5ͼ|J`XY2Xpn¼X`>.6x: Yg$ϝh<xy2D3xlKfbnBhu9L /ӼyriT%)TW Dä&o8K;LŧsQn^>s7+svs. OsLt]ɹ;w`?KDN5%Ĥ'ER|m4Ȍc)KͽgV<cB 3hXug֊L:k}$^V u`ԾM<vL#GF${K+?:,@gqw@;$$[N 4H>{;ojn{Nr^kk,Kh6؟*kbzU Ѷ jbc@deQi(Nz֕6.&(<mIAF*n^bz/{cY;ccLR”>ظ7.;++alLY`6Əe|ud 5 %S_@^'14b%zL Cӳ猫>$0BK_L$ߔӊ~TfrnnRtvQΏe_I'=큟;5:m1ލPxhN.'MLôVERYMAI1Ӻs;>oae`i©EPW">{43$ĕQ]F`*;54xLn0b+!~dd&s9dgw_=ڡSttM0w``aQY ȁzW5TCqrMUMڳpuB4ͯx-[ȞM+ȊRwپ~7lcQ?kivhbf^6{sMzv,޽N(5 >ꄁ~hZUE#eiqLo,Ծuz0I "IѤ-Syo#=ΟL3vo_9{d2n]*>^=d5YKks^HNL ?[^I dPju א!tӵMbie,O 1?{/se̙Z&BqfpZ,N_6;Q|Jsq6k&֓cB!FXJvBFfYS ֢i>A6VdYP)_12s_˱+ؼb>FԈL;G{rr3~ħ?{t_7rEgK>_ȩs3:(g~K {cfn#n8+g5ԉ/^04'VuB}K/<^'1;`]p҉$ev?i4ymkCshNDZ? ]rξcy~&פqNfM*8{gqHNq!7Gt}6붡8jEeq,F3.C:YOAYq*1!>i' P} L-qpOaA))4O1*<WQ&\KzR%-̜2LmёXy9f<Ypj\<1虺b`탋7^XCzJ4QIeSZ^GJflYA:4ϟ=?%W/,_:_ :#se3'`qrĕGiDm.PžrOWݦ];Z0 BYЩsGZiN#cmiӶ=:tT v,'bo^87/pa!lr2%:W%D:"F`$%2g$.wM;gr1Gy߾zƵ˘6e:'N%)3d}$vnj8T002l0Q~t:>QiGfbM(^qbB3I 0Y>Zǔ) }پn& (vo\ Kٸ|&k2\f_H/䎜\!Ei893@w@CH K>sf\4b:#<W/<gQU%5!A'{"&"pn:ewYpe,¦4ϯ#'1'[²3VVFÒs9{3'5bDo^,UT([z1 #X_14ǐfI@͇l݄\MsNRlhy)Qx9BErL_<7‘ LӤ77=1Sm yZ ;oK$f.6ZԆOX#ܬ4q~wP C]ĨfvaظWf"d>JO %3Ƈ(uǏ@R#1ͤ_[N ܖIMy!B6ÇL=髩F>ٸPIm3*}Y45x1!~$PVZIB|2%lڸULep[6s)^=}čٵii1<y7TVͮY$f70g|\GLC{,L *˪Lҭ3-mNBA[:tBnhR0J|+y^̃)WwlӊP/2R)8mܹΌ 7;@'}:!__u|Dq _&c7W$8 5޿yΧoYhG*pwvCs@1! 퉵Iˈ$15\|c I/9,M,05@ p6R.VΙV/\<rrL3FUQ[;jإ1z)Y4,]A 5+d\*&\ ˉb.F% lԭvmXœp8e_fILMU#'Z`݅=[?':ha@!<-|͚%|6c%0L(> -$aI cj\9 LI"VHxLs wk͌ $3Hpbҗh9Q,k,\>"i酶`.鎖>$4huMOt#!V8Ziam2@B|p"̊StA_>vuQr@C3b'wOP2amcn$\+H(Tgfr:Q.^E\| u%SSUŨѱhFPܯ,Æw>&VbM\q#/ы,;V:hJ -(&.A_Z b¯^7rA<op`3xrnƪ5\>3G0Q՜1,\;q0Jm11J:YLtI:IU<F| j-mZWtlقo~n:ƍ<uWaM`S&(ի24~_kNV̟7xk>~x#z5cG3sLe|֓-wqA_qw{1Lv::$/!5"O98 Oga¿K@v9KgLR?oX9>)n 'vm!Éckor5[,Y-ݺFxL LUIQd/tP_N./8{P^σ|D,q1eEj$Qp߰zDY2۹$KmXG{h?lq\y^(Os>& ɕpP.</M 2oG qzp>zX ^:dxdeBfLC&+ɏh_*X42crBƨIWSW'щ0k#\gP0ꈓ`R~TW /fX>L2=>hhנ~X8k92T;*W0<Bq`k#H>7Z!c70" AA>\QҨRu(F?/ؿw4Çk]w!]07;@u $-&Z3[pqq KXvk>q;qy^=ؿs#y1Op&ni%߻ sTх[Ƀ{qFgFÌpwJ߱cGZh!su}{۫OkѲ%]vG _x:nڵ#"ȑ1悇;섃-Ll]rS'qT<9ux3OG_}5 d… R񖕕#wɖPtz,>4؝T ҋJ(&<c$Ҵ",2B tY~(&2֬X:{KfMeQݻT.'prՂ_K ֥ L)}םcL*%n݉rR!TJ%b#_?E%͵\;H{Օ8:`o-X^< G3 7̼%LNŤaً~]۠#Zjb>͡TV;i˖k>e4OcxqVuEIL/eRE6;63"P;|,c+ v3W +khG&Y=>G^B$2ʟ5lU{|'cjܹ"9M^htc辉~w\ d6ƺ1$^wkmbwGkpLMu@X8ih0s"ES}b Ƞ8ZKN>!'4$KFSMWdѤ$$gjq4I4#?_<ɂӧ7a@ Mhhgn 輙P΂DD<HJ#r ꨮq7ic'̤q<[׮ϫg9~ho̕8a vΥ#9Ûg{lϕ;3fȠ>~u ҳW5JMeUҔzRDY *%T(-C,(Kfݼf9xpvSYG]uj)1{z3sgy9~[x⡄;8&b垍ݼ\nEYUݻپ#EqE ̘>ɓ']N\RBnVBñ5&&U%0Mid̐bݰK)N"ך`ɖиzj6[+eZ%xRC[bl]>kx85+va3 cF32=X M g%$WLh~j"af&2TUrVœصr&5g$m+vSx]/K^;32ɕ1ZJ\ 8퍰28GˡbB)g)̓04cb#VΕ4I_'QBraTLi(nFtCbFjaQ? )WG35JRuL 3mcY5*c9mSR%f =61bB?W1 ^6؉Y0Lؙ xJƦ13  C? |0r 'Olpt!5Y'/!!<ʭ 9?1'ObJ`1/[/0@ss$0T ϟ]a谁tmlPv!-Io˘ ,"->'{(IJfy5z aJXd)}#Gmq*v(Av!>:˝e7d||{ 섞&Z]uuSnA"s1U9-Z&IhGkဎmZBQJ"#w/q>cEiS ,]:M ;9yxu+ I/K|xR,غe%%'rgeZ\rd[0lhu{Xo2B-ϙSY&3AB5R[6#K)K %מo_󵚭V _x:Wa׺E۰Kb7M#|6;]A)00 =0OJRq9br}Nf&fȹ9~\; S Tja؈1}ŗoM~#-_ei#sSt֧* gC%|`h4KԊ̊0N1즡**el7e_0\EEDPIz|tkwMt8 ;ňb'u>fNy_\ǘ\C6<;}{_vowsmߧڴ?.8X Ԡ1끉LTW8Bpo"nM-=|I[_Js"&9CS{\=qs O E$ƐOIa\D32B .ne$%PU^wI^˱/_CG lw15wÃ(7 -SɒŤņlGrql%yTZqF(oh"GLŋx }Aϟsjvo_ȇ/ sj0/aI0EWS་h~ڶStz@]"GԡmhI{]Wgӓ _/>@rlq2'OifѢyۻǏϟUxo$ٶVkqY}-[6W"VHAzNJeKYd!no{eL_+n]ICee<~E-!ƗguEZ0RB|zۣ@~`"?UcZVX0]&͕wu*[1EIkXߡUCI(,#=;j3SX49cٳfۖMf|%A*+^Za:ȸ$o_C_?nQUQj=vJ&jb~mJ|~FW.{i#1ԓ 34m &qi:.YO7N>;AF:d+p6L1qנJLfsv:<q#ԝ8ePnh-KClؽ%]1א*D)n:T/!x|My->h~/ill ='/_B32 q%6c{vɉbH@WVT |b%)د!11:JyqA!ǍzMS_K{j1Sc ^$Dz`CSM +֒eՔ7]BYe|=~EǎLqQ ,ݛW2^qxptxmxpncܰ.˹5g.ɰatC]-FxX0PV(d_ ?7?gGJˮ?_GwNqN⽨`:~#K^^O o?~>O} cۦ%l\=Go^>Wy$"e:SX0KO2,-"2,P@o~7}kULY59uK_BmMLLz{Ɔ3 u,rC;vmrRbE;&c|m\M (%Mݼu%k%|c?`fZtjљ _ѓ֒LMJKG1#%voȚ\ܿ(JrS<톾dK~9ޠ0M94GZ0w >FzgR.칓0a4 ]玨v4SGrXr .NҾd oY` ȟ0O|})h=L~GSiζYc3\Ěr&ri:^_>%SEv׿5(;v``Vxof6hw|x?t$`d=퉥N cg+}.G7J'TI>衩'? 9/68xl)>əZєԸ8SӨ)$;-*b..,#!c'&"==ܼ+dLbۿx_ϓgNm""9C[wtj`psmp4"׊ah"5#b Hϯ$>ґ׌%1}55Juc|&OovͣK<~qFn;DMmK͠I AY܊8ALb{ 4ZϕB2ѻW/Uj9{||oevn]-O];BZw4o>@y!\8ƞY+by^6;6r1^:~+.u#F1c4nnqD)q!$G R ddU6 ε||WΙ9sGY!EQ]5+شj1OeFfI^6YLXϚN fNQ{1bַcˮ*Ә2Zkli@7ܢJOT+߽^Au̽kgnF=N28܅|IJyؿk#^?g9d ˢgڈtC$ej<Mp0!בyӛY8k:U2GRUVʢ9c%n`JbIkMq,6g2#E@lD%\L6zvyh/}YYSNzRk= ƺ4e$|l H jbN~BW3@ Bdn2 ؛UWؚiK-uqs ,}rEmCkm%(a+D`$U])) e哞[B2YWTGbV B6"%TH)bI GOꁥb sL(a0b`.nADP$6% )GbF %r ^|[.Ϲsyu{_^<rG_WA6tF Q~U/ߟbڷS0*5e3ZjB>R)C|ċoH_ÇW7[w?{rGܾr?^1c9L8mågXn 'M";;&M˗ܹŜ铉 ('eքˎ39-孫(c] ަe4+s{r_ECIl[M+ZeiZ<)jY2g]ޝ : } S9N\\m=fAĥ3'qM7>þX\ArEN`߇`og0ƺ2 \yk=On0^9XwMPZ: 1 fysVl@QacG7&hRsǙ3p_'"\ $&ʹ uP/4X)ׄ}:}C.rj:vgx C{dL^4gֱld%ͽ,=}ba@ukwʤX+ÇvI-d0ւ}'giNfCھLι9.aj怙ts;0d-vXH`k턉#?d͠LLhEVKbr&i9 KKk,#+=%.cB11FܘC164\KB FxaYQ- دPQXKYx U'%sQ=}ȕ+g$@~}kyu(%c]|S!>6}߻7}sn"\mڵQ"uQZE-ZFYao7g1\<`[~M{扄{!^O ߿͋9߳u-?+;Ϟ`LLAA#F _;޽ fɂix0z7g뢩\سQnȜ1lT 'oXn l,c2Feu<vIXظ| Me)̞=~׮ҷa? bae kY7NtW.^PŇabJ%fiܹv!oK^5E+( d@o"}\uaZF֊n .߾ßϳڒhU'S՘)+lXɪ% 055? vne|R cGS"Jk;m'%ZdOķMS+A$ \=YjBO"Opvh̀nrt*%w3|mF"6w$+so_b O PkA$Kka t1\'6R`=\0h.8ۙnlzAF. w1skK)ہ 3YӦW ES$8$$eCAQE G>ښZFFW?O) f C|]RW,:3 ߑ$SXHJfrFoLPFVN9e$'r=~W?z*qjyOq]ui//xUp_=%DE.~h&dAkmrRKzuA5YܽEŋl۱;>}_?D?Y8?>qyN+՗-\NJEX2O|_8ɺ_2ill7ϟܽ{KmQၔ gp>'riZA8a &eٸb׶õhH,ױqKX|gLWy8o7GvoW.\9֮buH|fP+jpz!`Ls:ϯӣ˜ڲY ERN뎫 $Uxd޾˟U~eM<Y\d]떱rV6p 9MHY*w&5&bٌ<yM*Jbz]717 X V0z}w< 4:t޴{ /VV )3/NeFY//,Գ{[Lai6+!&ӂho}6z}K!>AS^gc L4*b`_78[3\}\wCczF8{c!yPÇb-:}XfNOEx`Q~!)$ǥEQ^9#jG#/Ay o?Oܹ,xt3gObpp@N&elWCyy. $ AeW!*US.bETbj g~~_a<;Gvr H`?rzj\LrnjC%0SwB$!ed@iӮ=-(WӠ^]P:YІ6mŁB:ȟ?_ܾrwOO }OWΛR1/;xrc;ٱq%DO[Wϊ]=,=Qhljf϶<{d͌mØ2lr>YYcX` 9o3IKH ;-kWζ)@\Š3WWAb|$ Z9MBl҇lݸ7_SC< 3 KPBSJ("~>Vn5|ure[Hui~XDCeЦȨZ>ٰd%yj/-<MkHIь R c,+isdHR[Mõ3عfSH`ơ shu^U3G^O%Cd\yb%7Ψ0O*b:nţkX7r{ 6`/ցO{G =ocZb2jg07W,)_;耭[l=Bq %@ 4Oib估uV/%'rnsR≉ .5bY3 H#%[Ȥ$1qxy{</zvS[vqb g hMR-'/JkPxd)Knecf GP5Y!ʪ N_]wۧw WK[39gwÜ.[ ӳG7Mn/*mmۑێ _Ъ{E+eV΂?㻏9s/_SHG GX8w"i >6ͭs~޿x(|q][s ޿ue3'5kF5PSSx[1{11j72{Ri+X&U$,,kz~2F;_C;8m׬.Mk%$2(R6Y3 U-)w?hjJ: b<=#I.`-ܽ'WZ7哪o\.p= FQT#k' C8 !/яW#㼘<GbDllvV`1TVAbLY|zR+J(5R_̙8R {w![fp%:E΄=]Cuf=ڒjώDA-09g3X\W΋s'uu -ؙ ofFx'5li(? .>bȄ[t$H١o;3m0\#p J9+@q̟=$]?@NzNYd䕩+R3 IL!&&\Lru%1Wns6m[hѡ4 Gg`W $%’SWI $^LNI=J`Ḥb,uM3幑4L$ALLYe˖-s{~k~|uWwq͙=+87)6rWnAا;wc>tҁ2Fkevm[-h-o%a[Dӫ΂t !eO/t0o^?3𣄃ox d(K$Q_9}<Oo.>&ɓGx侺ynٌYCmm%*˕Kٴ~5&!MnJYǫ3*$pL3FRZqQVG^|`''ngYh#j qHfۆOU 2Kԫ."&1ہ # {,y=Ⴅ{A }xv"a:V2 P_b| &!1C 5yI{H=3ae4$?"\)O ej] n]fέw웒b ᕨh]s9?}utqdhWؾcFc H)AZNRgO@>ðW[>q,Qf{DW,0m F1OQzd)a@0<:K 8-;Cm|D]N;tN1S)j!O{EŇ:88ac~9)_qe\_/Qq BS)!>)[0OBj.aQIT!ZaR$;D&MG^QBԿ:D?9yp=ąJX)%h$)eATTOb6JJJeUs~QG7yyoEc[s9uhu+ȮЧGoҳg,P& ?3Tu?& \Noނ=Ih= ~>>᧟ü~{_' Kd&JRɊb٢ۇx^+uލ;y@/pO?/;w6ī*%owwnF2+2v߽ܙY4c ^͢1,[΢Zv^'oqT R)Ltk7Wwr,LSc!.dqz6oZKlLYilrj/\>yHOťGcᓈWh6NFd&=̵$}>@K&0%ĄN ([Mg|?؟5s$6:fDIJڳ9O<I\4+M%0~X*+(’ ? ]2g!S92Ucq ߑsY;Y`0C;|i6zW)jjL7-4{gʎL-wraN_%7`J2p0V'puqXr8ֶxoA ع$g_zhoJZ..*wuEqxɑ&ϲHO͓sKixs%w;<Y)>cS:S\QMpZ3"ribT*,pQPMz~r1|UOSg>&5Mc˧o3ϯ^}xi'__;*{3  Aʬ@u,h/|AA;ur@Y],P'1 mڴgQ,Bt)=F+ ܿrG7ϲ ͚@S}1M4=m"o=޿û7Adln_]!#{7~߽e44~,5M_KI0^&Ibk$l޺CKП+6VNg:y\;rV#W+56!ٌx/ ddBrMfdE`B?I2<D`}OͣX|\fL@L?P S "6s:(kpn˄ĮP̖8}&/͐AlZ>PWg-Q^a\AtLlLqwSmbl aaW2oR:ڹSh,]39p7.*$ATy Gҽ,pI. ܔDNLÚ2&H?Ofd`tE1lTIJIur޷vER;Hr 1Wefs !W{ {YK!<1B$+-!U@R>QBQ YEdi3 Y(%VH!ܒC Ki5ReEܑS5Zľ `Xĩ $g!}""&“ K#qqrQŠom><'Wj {~ͽ ^\u{W^~0tvIDa5lݪsU{U!BYQB΀$5G 㟿侘 TfND62([Զs,9Mز~?eObvQZZ$aJV\.[7LPzW/e>]+w孋nn`\;wX#ڔ,ۚ=떒)`zh-% jFwq{{E)/eLm׏42abKHb9)S`Z NmXKgϴ[9Iuy2SY] :Cqau2>SRbۉ {C)W̛Sʸ4XKKekp=U6s-!ٚp?(e©;+w Z<@hh.i`[S=/䖄ױ~/K~b Qll wؾ p0JO !8٫O&FxH"v*-g<v8f[Khnԗ!2"e@Ie (9(MFv5䓛r*$9+zG!b@59߆SUUόYt!׾:_+d [P=jF>Vž _ԩ-!&&KG4~&n>;] _y~:O}x|ŧ_lO.-]-udeW-A m۴}VA6-[ _P:a BYΠ}HK] _Eܻ̹ӇؿGFF<Dz3wF ffɜ:3 5HXǶx)3gL۶nM#iEsyvlfRC&5P* Ҹ$^H0Zڣxq!qo$L(`/cLP=To^:&{^:h,͆ace;vn(2{'PĠbN 'z C{+1eayĠaV$&0Eg"Ŵ<F$3Qfh۶mr>CЉ@Ldӂ)ؼsԀ{kLxhG0Z~ CIzyHOYƬi9{z/gn,*ط"x Q5Aj n:Y?6smnXÎ ]>0FE}qsql7!V5.VC1UP'+۰-yܬs%@1n&8hp<9+#uEb(P}Ռa"/.(U/ddoNxȤQ V<Bl c)TT3yT͛+{ sOʈqhyx֦8KHٽ̞LNjyEF?"c ɭ<p9n26jx.߿~gxy gy*\7i~zyOonEhi[+ E[L]4^,Pv=R& m(SN Lس?>yUEdK6 V?g4ėٱy{/gfm9F?Uۮ]dzƍm۷mZcImHps^'^8{snsyq<9k& ~,t'Ցmf%E13B`7~~;-cU0[f )@9nDW\>!}E2q>Cs7QR6TW@YV<S58`ieṟ~~^.$DmEnp uٳ'3f `!>8(,Ww7BCCioN[.\*rs']nQzd$=9%8d./X .F:X_ɕ+%nF#(?ڌvMk`۝C(:q`J|,T b=`߂Xʹv6[.3$sXX`f>s8`k7Ga8ai>O7;BC/z /So/$3-[PQ#kYYjM'0~ i)7E&CYj/׿dۧΜIWS)"4*3S1 CIsgF!5rr+UYD2~!d_h,.4Z_ӷ-?=IǃK۹ur%93[ɉCsp_tch+AzоcGu@Ԛh,*d"M)vZ:";wf@~+W#PWUȈb ^r>GDPNvX\ <w3KںijfqL4,9og^L (]R^Ս M;.8IpT8IxL(50c(M"'u˧uEg@)Ċshnd 3iK,P[uG6>üNeR15F0^f Jami;</hJMhWq5=krx|ͩ۹|$G46l2z׏oP^![kSGpTX!qab8LBoOOH#WBi}&OMVB1]) x4ը+hO>Uj1:>cٳ=6;Է3{1Zg{A*'eZ0c$ M a͘VLӻyx8;V͢ GDW_4DẄ{B;FC0S$T;3mlLt5*_a+$d5 g +%48Hx6K-d_E"Cˋ seeKP$&!DE&"nl'";9!dF6|ZwRV$'9eRRMPd ^~a$&ao@avW3>ony!sxb$\LO={IHNi-oQ,Z@YmТtڙY0"-%[rf[6Hؿs%'m`";x]WvҨ//P1z c;t΍֬^Ny3Cn֥4SHΩH3nD8"BA+Qb(sP>59ь,H +ʇswP* %;Ĝ({Ҥ&%nXZ8ҭ@m=ٻgO_Η{O~h&  pi,-4'_3DrJj<n,ۖ<qvE߼)4{6[|5ʖRႁ!gUlL.7P44ЧO?|'.*L1 ,1İB<])HbJcpW=eL/1uF:>&vkEVʕX숣FpVsnx^U%h@E[dq nx '7ɛh'3INAJ*Lu`5\ -[-b#aJxBNW1 n<ZKhS411䌑+F>X{`f玥+.xxxU8ؗ:ӫ? ?bD_%$f &K'O%-#G݉c\</W쿽@ѓ2FW!а L$ZB)D G%E^75*ҳI*7(W0B"Rp "%%C!7={[,,o\={wޗ{v [vo0c~=z(ۧ}.XBmڶC7aere+3:wHG~6}#/ca<WfMxp+8> +~m_/سy9=e u5m|,?QW\#OZ}9~s}ښ`:l0.vH75 Y Q^x._PXE<l./h_Acyx5H3cjjJ2e>#sS;-a#<([Ȉ+`@g4?(ft9#̢jLjf`C[y}47$ܽro߽d_l@{yHmWv!GD>#XB AA 2'I`(+ ) !H|SiZ"3j6{\K&d^ms3) 'B%tZ1]KL|uvw@K2"xNb"BEKRټhKypė<_p.c8ɓXWb,{}”FZ}Ԛ zX`4\‚6pBS__<43M\F {be/|2ngOGٿ>>D ăTOTAF.Yۣisx?r&M,jd.#EOwze<sxfP[Fiq=y9Ϫ MCTDɤ$d0 3>_-yͯoۻ5gxw'vr:E9>8{tP ZztM0NUɁM(_|R't/,7w| IϖƦ2v^˳'W{xE\8pF^?/?=cڹ&S]5NZs ?a:JV$3D-\mj>6߆xYjF v !ě`/$#,#< w;lt D gL\ǔ>8u&n> 33v.9|/W2H }X!~t7On&8?1V3}B3V<vʅS{N¾Gx?ocJqF\+ͩ.H[eSPÆg B1OMY+,J39LYԑ5,?cY45:bҟ8 ][պzZwDNt NgS8=݋dzpR#Ņ ?ndiS1nsܸ9`c  9Hp cݞ[&wcK4#g]l7c>S#+쬼3|q>W0>8b`C.ݳ/N$&f9%=RHrjQ!LLxQdǗsn<uKYpfM$>%՛|Y&檴<(!gB&q+7( O 8~,=_>׏_ӻ{y/9AF^9ՓɏgF_H' CjACeZm;ڵrdeAim%,U]m\iб3y}G~'wn|T0^3{9}d+WNھ+b?+d4GV3M aޜܼtQ UEF {sOYV՛޽$įV1_/I_Ly~Ec@eEU%edLEeIh(mRbl}MDkÒkœ5Vr9FT+!ş‚з 4K ,M1CF!(Vܬ*-cfU,=U૳Ǹi߿Χ8l/OcC`¼Y56RW]Ey^Iѻo_uY ^$FR^/ nEXQ̜:Y4DŘě%B3C:ֽܿ1/1"v0Ɍu#rٱh,k'xT#R)Bjzj'eKM *+7*\Ɏt.=G1CF$ V[Lb̵id+.&$j/ؘcG0vnعa싍Vl]q3kG\<pLf? 1=ci&ʲ.iV 7H5&8/rʹ$pyάXl)h >ի#[7Σ, £c I/$$|ށ1xD(cJ)%bL{~çW=_y}z;wJ<)^<8%]]Y CahhӳWoyu ullY,B,hK/gPZ6ړYDon̜0޽?o mX&^?wvN1 y&+4sCcsQ]SI>yǍ,(*MpRI 4UϿӥS+zܾ%[_Hooth哣=U42P?7f.<3#[W.4Ə̈́㈉&1)SszOn;غy'8Mqp+&3YCNUFh.6$&~$M;svF0+sCnݽ_Ïؼe5+ˊC8xZ4kqn8KA~%%%$'gгw:v#K~޾Ԕ3Z$;/ _I!~Lϼfdv/ásY?E88%[" +wPw|ƶk{$%X3MK&FȂLgr2BSU[_).^/aŁWJB0C]5sd!Sj%d71$~(bd|lx)H;3]l\q ;{H,]rRp&&fI4<~2P M":j믥 m}zg0 ͚_O ,[;khV.x _4 Rv`!:>B"W':WYpn"~E䷏Q>绗t~7Ns6M .ӋĄн  S2v5E= (+ZIǺ@YEԲ@t_Z-Юଽz+41߽{̏~#?ȶKp%ؾ/ ;#Dovd?=gӪԖ2c ܜhnlRUZӾKBKU ~w: G47_N)eciܗ ƔQ1Fգv,7v q$'cld*Ʋ?=`[6=iXYDtL9IY1rJїbIc}+'U5ͤ'%Nmc rhmGyLݏؾe#5d^ٛ[ "zSwiN>ܥ`|=YSj2R"9ؗOMX?Ɂ[m*B/έ2&B a$ p+JS94kX7t\?# sr;oړBCi,!Hgޤmt1 3Xhn#+aX0!<>Dpp6[G[[K<cjG.K3[Z;H-`_Ya@= SAKMx:*{ O`΀ %3?>,Z:0<Es'mJS  .2ȰX0# +\=Xe2G>>%?~xWyv<[ y#յC44@Ppӓ)[ j%x̷h%j+uE[)[g CjKI<{ذvgO~/ {y{_߿(\6&d-Mg:%qWk#}^K _wsp{EFvJ_V_|El+u@.c*sG2~*s$2n(bI҆ӥOOٶc;>%>.ḺD[BLN-.tu6t5Lcg5s=iec<֟ٻ(ƍ,g}p;O/}^bnfv8izT\?CYi%9DݿR`!.n88x kgCFXƳkL\h2%O ?=Ʋg' !r8SL 8(yabI< 'Sø,mfV]&Op`=Ia.%P$=dN,֠d6 &}0^X;Yaq-Mk{FO6{hHOHZzciN0az IKj12ddJ-[-4 @C?Aa>,Y5?_<ɂ>Psq4م 6Pcł'. $B B8>xWIqEBw )I|}=}xOD3|}o'7H`8̥ckɏwT' 4)Uõޣ.b:Q@[aǿ& ItAoGi]tVVܹ32 Ϝ*F1~\#\;B.˽%|pN!y<wI]iwxpㄘ4fQ։EcKAotP""N!f\Ҡ'Saz=,FX`ia^00# (ؘX* 3Y^?/[ʒ:wŜGRBQN XK`%eE'!Ok{WVXέ穩G D _8h[bGm-MF?D'.' b$$zhrcIMJR¹"+pa>&*lrqua@ kŗ[ؿ} yzqOh-AZH/FBiIn9ٙ^Y$0ZݛwߺٴusXNn'AAp3 gC(>N왁?y[b4305MS=+e\,nd2sɉ ={&e`%/VV?5 ib% I fKp #  ۞<D="q ?Ofe;BR Ss}1Z n9&Ҍ4T >4u'HM]b{ kr4 ]REp@ !rl2^<dxan*fY 7q?~X݋1||,poģ}fM\>WeRٽ5%h1P/+E tJ'2ةs'u2CG}'ګUݻwQ8:dOO3}v;sjKq,ᇻ):Q?(ϝGytեoڻc} G4P@)8SxNio0X}v\8\l-͌doMETwl[-G7;GKLuIP(;;*Ĵ[#AQC7vmIPGCtjDFzZ'=k. ;" ${aހ_H<C3I,xc̚</ JKg;Cn7dcޟ;gO".& ElңtGxIBCyYd'Q-(-&@'kHP;c=g[8r2e1>i ]q- ע,%DkRI1.ld100 O,E^{),l.3}|.D+ aMd=tt`iW~?5sv068YpGn"8Z `aNx,!IxKG` ֗"1m ! }qrvQo2qgj& 1@C[Ab (cAk+3+y?,|wzR@o/tܰh%yI_nꄁ:eEŽ` pESݽeq[~xX C~.|ǯ/>^ɝ[~LQÃGNh` =={V/(Wp(oNo]C^xڅݺұUjl{F ?)+ޞΥR/d|x)s?Ĕ|߽ÏW^?*`̈r}&cQP= M@@Ȓ\ Wx{cj8b Is  6*-r#V@LI ԛpV.b3E(~,/D4YHgPJ0逶6[7oW(˫d@AhQ]*<튁5a$+F6҈>>䥔g}gꄩL6wZΟ Q Zl;wpv&$0Kջkg|٩!#QgwfL,M$8itƶo{t¨JTޗ Rx{6oI3 c f*~"gw.<>e;+Ȋv' wm6.NW,ci2P[_̿謅&ʶf Q+a§ w`^&ApD2޾䉂tB_}5e}3}C(8PB1։)S zoOwe'_#o̒E(M"ߟP%, {;g\=qV&{<HCarh=|}͓thO+ąyӣK;5PHJvi߲.t(m'ڵо;ϥuzuCNغ4tL>y?IwOT}Q:s~6Ϋg_{IP/x \;Imy&8~xnV'3Du$) zZS Kk+& 7n8b66fX[(YLvl\FzB&C{|8<1Dvr≋rr033E?kOێm¦-x#WTXJ=jLfvvB5toX{&]ۛqbix~X#gsdrN$Dž2qX&LŽy YJKIuwY9w|?CBBd8Mٮ[wZ]Y)ԊD˘5edKr~j6oY81GJ슛fwww; F~+ 5D'Nё7=Qe`\I<gv,?Sj6icI [0+>u N1[! 遲v6c1Nn9 ⌷gB9 #XwXh߇c &6Rq=g)Y]qz{aCdꋶx#KϿdR%\i-iw:ؤJꇿ +ˑM`h$0uvtT' \< bڸq<|Z k{yS#~x}o.Q[xzm?O+\9NB|З׿]t௄.AGe{%erKNjԮb&>B ]wtd|9{1y/7.I8s 㛻'Xx [V/7Br/o ;DžP1U9sl9y)&K;8B:;$H >d,_8IKRΡ ѵȥ8SΩ/4,gƔDIv#'U@6'E+Mv\MntODs{S3ظv5lپyf1}BZ4ӣAt5q4&v˰ + 芻ߣ2)J$59<*j8a]~bܝm01N89Q"'p,lӿFouN!GrR1FnIEnSH^/b~?Y6(A3œ8v6IOclnj9dS[grpTi4Pܙ6t .Z|=K-!IMm(`|90K]+{ W/ܕFX:zbꏣG< [INKMĸPo%lDoX,^A"SpKd|4ض,Pjwh1 =vlLX/wdЀ:3b _GN[ fO; JQ/<|?/o<yXӹc h!A"*U@w1]:;+һu,VL`cvtЎ!K;m>g ~O ͝KI%D|ޥl_$,|&։@T >yꦘT1oXV-nmX^\IQ t)[EGr"߽U'KM">=3sgA+W+'41mX5<y:1ub#kV%> $!'a([x+[GwgԪJݖ-pS*W*e5|^ҵlݶkVJ7e]WZEC_10B$XXcbaAmm9u$geQTZ+jn7 7%7#B1z녅qo3|v&K(rX[;ѵ[w =8h }OV"c=+15zbWG=~8>7:?oN?{ l$T !}iL %^:yuk,4Ax$-ycUWs6 {9w57ed L^D`V514Y/M @z,8>ަ}<dq1FL;n~xbd큵6.zUqenfINZ e#Չ"J#Ept"AQ  c!AWB^vN&sfOƍ2O~WDxh=ѵ#5M"2܋0 bB{go̭]SvJW3yZLx:L$8e{z7wQ^9oʕt-A?}E;ҹS'w9.cEa}]ի{]ta~ӭM[w?;{v.Ky"| 7K0}\-$T}s]<}9Mw`\2#))eL:xGvܺ΍˗8{EyJ+oT?zdF>a1x8dg.\2Ug f<23qLmX'(Ș0=}Rܱ mZCt^p۰~h+^>}sغfx%DAߪ}gZK:Q?z8GM)GX2lb(ʥPsHm} $Ut"Gs3u& 63™z?c+[RV_MuY dŅрn؈2!No~$m9F][3@oջ31ȕs2Jٵrt52{D.f KW^ƣs ?u)4rպK+"* w qwQ.hbk!^LZS>K] '?֗f.zv06wZ[FVsJȊb~O&2IwC`L2I'AO'bܾk=?{*}hm>Mҧ1DN@ ;^Kctqr*>lj3{޻Ưoӳk\ڳ˼}^~o%=֮@mui=ٻz;qN]ѻ7e̴߹Gw|ݑZCѥ`ܔ=[w7OE瓼'ѕڰ>=W7,nS.;HyA ԲZtJ(ʊXn5&'=-8X6Y]׮ e$kJ|-L8SG1NBS'fLê3HdV7|,d"l2Rb> SǮJmV<+Fe&n޼yo^qklڰ ު]K:jݥ-pOGlbq /D;;glL h+00)(ȥMw򓌫 7DnzZ\)Xd￾ƪSq T&HmEm٫d2ކлz+9$+-!} 7Ob6p#܇{ :chLfg_r1STuЉ\ݼ '26*M &5cK[+vh=ҾݽTTeG9K"wDv:8 jvNJF9`0LDW<%..^89`b茁-v~8;cg㊣AY)TT JɃ!⻕9ǥGhLtp%w p*0YAmdoy%yJ쇟)EdgF`SoJ02$VCLd<W-s!_ۻs~HD6?'1JXxre/__;Ǘ9wh9i1.hy.#D D (\ʣc{zJ*qPك%巟ީ^(Z1ؿk y;˧PS™#;(+,]8IG2Z!$򳳩(H H4ϛL Yݿr7o" R«DpZWʜLl,cѴQ^8"%x̘ #Th:glO 7qKpIiӾ;-m1nI/-+cd6[._ڵ4 p yhBˏv%֏}2ĸCeW@c'Mصs;$>vVHwS$@JuqwՕ%9f0YD7VӇ={oގ0|.)pDxSCVz C(D:;@(Ǩp* ?oȉeq1,j!EBK+azu3439m!l=+&{hϩe<f7f~nՉB$fxca6k!ZkKJ`; O7S JA#܄8wl8XX)-;`%@ˑ0쎵HXtřdLJHh, 1 ނ"b %"bJe %I_L(/?}L 쉆U7gD, %Fb$0xb"7HCK1fV8۱u*~Jw}|+퍸] x~Oo~oօdѿ]쳿H䱅3z[Jҹݻ ;K6֑aC5ٹ-anܸpL>RhRx๘K s2[V-`ڱ"=Xw$Ј=XAiAK? Qd鎽=uOq.XG`?2ԋvn])"4i-f9پQ (#$PL`ʄƒ҃ Ə($;8ԩSY7弴j!wa֪%5H,}oK?Uݧ$aZ:m=hE!Vac\-枱j Q8{6MpRAn.Ye4浫VL֫j ')b cbx/1nb9̟50(Y^G\puPqL )؈QF^7тyiYQ1(-JgިJ7V2UE4d2>7e,~R<dɤz($9\5fg,FųQ YM7j9&0fD:^)$ o< Rv@YHf&a2qfuA (^XXXʘz"@eNNX| aF"Ox|N#ٰA`_R<`_޻^QQUBDh zիAbb'7TKh1Uve a#<+*]ٶi-?(?˻/_xyK]ËGC\@4ucUUpAK&XoCw=Ukv =MiM+WϜ_" G7O޸E X,ȮVс?߾Ƴq0YSi]IjdL %Irg-aQ jn&׏8u`z2.LLr[mkD(Kb٢錨)%c`b 1,Y0Y&[_BqnZ#K)M,'J: )T+[I8HW3bd%7R 2wSI&?Q]U(=5CC|ߤfLHQiy;amOThz{b><',3{臛pLį?UY2͓şiӣKgz膛=njpKv)Qx(/ .'pjsH```bU`YuE̩+fFe`?I Y0D,.gQLYVk_7o<sU߻Zڪ*7/]̢elY;Qubؓ=Qr5|`uAĔf+Ր@?K5Cl00Z} k̬12sb`GO输p ,Ć _WjŦecGC%8$&S]]Š+C?_g_P\Z"뇆fgxM ƕTd@>jo/ir|V::hǮMkY\$/jȷ7O>8/pa&2#ڷ]Z}犦 &XW[~g{t},xث+]o^hiӭ]=ݸtKnc~Ƿb7yr$[Wa& #;gLWKcM1S[K HOO%+;7;f VJx>cǶUTeBm]>%)ޏܬhIq`L@j a,_4Jv1gH$Fy0vd2K)Cs`?>WoQ(޽;@#Y)ŋW|#O1{G6w]W]:%BR}M/i$ܝTzGI~T7q6>|o_`,c{p\})JᏏsn?+gO`g&Cի:vm+ۅ!r<99S' C &>C_FW[w-иqwwwww7B $BI ݴw;ܱfZ+Kߪ9zj@b6'$J Śɣ1oTTdcQe.f2.Գ-Mӳb0^k)198 %1^h[PƉ4/LVkfD,_XyKm"̙Z~T8;kQ2mT؆r8m"HA[ɂYȱ#Lxn.r3\y.-q Bdd(t !"<$($%a~oɂ?i!نQAVx fV!;= A/\il\ЈN~poU߇ґ-tlދzyk*L> < Q FH?|`dcCAd7|20F3p@? 6#`<Rrp˛;x,_=vлe%̞3jQ? (DNwݳݻ|waH'h62Ke qx[36Y(')HULaGFzqX=&A> nj0-mc{#[(NaгP 6c0d塴hjx_S-g_=Ϡ\/?g~6oXu-G_T2m`S`0D!be8hdge#3cMDǦM8b?vn\m+Ѿzr(n] Cc}plW CCS)t  @_$Fq Q̝D`Xx:lXm4MKоv1Rlm[ݛ m8$UnƱ=8:u 'o[x܌#|ԡ8ϱwۺqS{7[I<yo='7u?:caߡS3ukTÌmuj*{:7z02`=FYB vnvpzoB$$( WâHIDdL (M̬ZN:Łӏ/9.>_@{[32Kl 0$CC,xOOD;]IN HdOx&_?8.sA߆qvzf\;މv;yY}fLZM#]FA]\&D"bƝ\kUeSV4Dn$ξ0\y4P' F(spN>aV,iuOQYKrLR}OqvmCƮ><h`&$<5MXOWP] aH>{`㺥10SC|/F2i|Ib˜l̝>ifN(9SQ310 ;#+tCA+!CdUL4 Ռ~*Eזx! 'H$JF;\f={#֭s-Gtj140PF1p/(r`ggPoF3f!1#Oª%ն#!.p %ؿc-N܆7DmmOBSU}hEzR J Po@yٺG#qVܻGy-8||$ݍ)o?}O/<b{Hyb?r<p;ږ s8N>޿U&⏟~_t7.CqVOt9Fκ:ǁ c$s8G'= 15o`nƖP҇ mb8[!"> C(q(WQ NHABJ:b0ou#LBo¸pbLKU 7XT?8J+B=]W%W  ='$%!59cʋqa5cwӸyvNk8}5.nÍ[p\;':][1<\Y^(-!w'h2l(F(ݿ~}:*sgpb7.ޅǶ lXj0n<j+؟ Xx>C{6rbsc-5U+*P`$V||lmشn?n0QG|T0i^m͵C2Eb֔Y1I`?.P]OASe)ͩ\w ={~K=vShJ0f*&`KW ޼[xMgb X~&MT-{ T1m4\4Ssr9M'rҒO򐚖Ҋ>e]ٵ]Sq0H9-!wG, W0WO f$Gfaj6V0Mͣq<~z&֊s!Gw˄lؿp`_:O9ƀK'<> ؿ}j/8{a[_$|pO`̷˧Gbqu[0j2dGOsS_p>W^q3GA;L}e3SQk:PUׇ \ab"KKMqsunC$I1}HOM g/###*i>MRraqf2o/7XY2YHI$6#1wyzo]Ý3\"8緮e;:`<8o\˧fM_BD UՈ?<G7`>8J(HwُO'W98w|+EFNRL_ cKP,+m;8Ƨmx3ښ0'Ŗb=2&sK 8lGG 9V0(/$#" ͝mX0"1z4$⃑0y@O1&loFz`ࡌ=F(**)S0qb-**ˋ0z(lԎo_~ǟ?}?g3.b=Aݔ>s 1Bma&R侢ω rdU㱹c3Ν8u:{6CyȊpE&u 7:a_\߁'O :FPQV8c T]./n:. qٹl8vƅmxu(Sӽpsxqv?ޞ?OO>yգ8չ.>S!Bvkfo<O7Guc ybǿ&{l05" MنA޾ )lu``4vf027)_ϒÂv"G-~~ް1C<8IOg h $8\MGD*&bBB\HJߚq& {U}%2A<0wl.g0e($$ f`)Xx&:-ƶ ji@GBشv>\yc<l];Z{c#v.kpx:ٲ[ZѶvZck l۴ۖy)lLR;3H/GEy>&Oriq6MFP߾7uK4]܀bѼi1uϙ\'7N ͹cq1lZÎt9;׊"Bў OOx3CQS^NЏ@bf!:: 1E+(x"/#i r13 kF!/?A>4$4GU1RS If31H(*)e*FWlT9=UaC*<s G6aF[;C<{E%KdYbDƧU*ZХpFr|3qhkmgp6ɾ\0xIe!4m4l[q.dDž"VFF.~IH EJ޶ [u"]2-+`3k2tr<lk_F{i*omƑ4:(N7cOܶ'(6񻝡;Dt^]޼w/Ĺ]4[7 {8.b<ܽg.Ń+;܅208$`d#,,uhgs81؈60694 Mahi sQNc݋B6Baj,B(>\@+0 a1 R($dq wHOK_qosAA(q5q18yQT$pų8 GRBcAђqJtiMbylg_s՘7uODì*|q6M+g`˺yu]֭Y&wwJ%t䑝4hY&1 k)*W,ǴQ^4yK);Z#=|xvo]O_Yc)[ӊEӱpV-Żؗ\.SD>1nd#`m GsѸy 4 C sSP($G0[D zJژ`X GFRChh&e<(dƠH5Aeh/ 鍲4grBO[$ѣ0y$_Cҍ(/+CQafOC?ضqW2'~?sc].OԜ"Lի;Ƅ-iiN@^aZZz.ߋWN!+>70eøtj;û`8XXCE|XB1i=}f9X^_z+{`3ya{ZlݸJ-V27ش'wvԮN\9wD#PT;UU~vӘ#@9˸1Kg<v n«{gqnHg?!#\_ 0U(9la '{c FxX0;;Z–S714Ǎ-`aBgoyԄ!pit=<}yQ/DE#>1B#"}1-҆t"3&3_N8QؙgsLg <DR!_1׸h!:ȣh]݀e'ch1*0oJ%NBqhZXV>kfbk<'7P$LMa?AûgkW-F{rb9F3KLؼnn=_>I\_?/݋krh\0k-3&b\Y.JÇ'8J.x&s<Aks=ܝ؟@Xh`?OƏ(M,d% }egq@'rL +u`ĆJoj^ i*1( 95>Fp x9A72E@hLB(.+E1[UuQM˱z)8u08{:wa9H,]O6N&HNE*MClB*2 K Oȋi.?{ '.L{v6SF1A\9E"7@LpbCaojEr~ϯRb#0r3v7heLogdoaj]öcNҊ;:q"Lv vڎ ~6۱& s'Ɨq <qOӻQܼ3D̦ 0'Ois&pt2}{bҚZ0{fvp_ M.x͸ 42pƀ1YL忱Ï/+ܼybZr$,F giKI@5YRD hd'cbBl9oYC I]qZT [>f`ŬXD^^5cVMǡu^-:MƶeC߼l]XkWlm#wSlӼj 6cOޞuU(< gc27KrGxM?>_^V%` o? wo'tXͣ<i܂FͿpLX$@ΣNK, 8.q\:01A0DE~d,k\ Ɛ)c]!zJWS셒dYMA[gG "rԌʈҲ"WKS=/?Wb<Na^p6y~?qu4wCq4g30n^~wI$4$&P_0%~n_ə[p^&"E NkqK$yǶGbh CaAӬ0T| RRa[)&3/EYX:cftzKxhzlƆe8@Oxm9Kނsרٶ[pyF&;JO?r~љ6.w8M=pc5ṋÇWqae{@A||7.BeY&MȆf04U2tnvt6 =]`jNL ...s!}>l d9#}9,,B򀝽%\oo/jx_,^<<)C9)1)cw[|!:yF)Gn^<dPwS˦Q 1%7k+0kX5UEQnkoXmc)vw.[A}9t-+ql;jo3hÅ#p(M 8} N܈(qlZ2\€[0(n`չqvoYK"᳻7rħWw9زq l!:QXEYܾx\P/!>*)q4b )dJA^V"&.b]1E2yJM@AF* Rd5E9iqXJb,>RO~fƒerL,KCzI*/) )a ChbmT,hkZ/y܆I]@vEnS-{v?~zSط'5AbZ\L~\R&+0ctx|Lytz% A.X+>.!ogEH:R8 {[KT$73ht4/E$b,^yӪpjNEc=Ů5DٸjIgb&,hsWêyYM3{ӲWmIUjZ~֎irsx|<Erm̞{#{cXDaNܘRZYoiL`([}nba 36C4A ֎pbPbQıw[; `"2. b * QbEN<oG A7 __^`ڥJJr9a-';LU؈0Q6Nf1}2fOuhXXU磵woYö v8cq܊{ czf.ލܩ}8 ]ric;i>I8{t;E ވbFof;o\?~|(+3鉜:qhhGǁ=)FT xxqQ|x>HOF.1– т u)D2*0SkFa&1<59@32s(V%bqEr!EDj\ *bZ̢a[|{njʊePE"'+kQ]=se|^NWTTXRlذ*~-9^<&ad|"#ܽ7o嫗xߘ`5+OBr>W;<o !q7pVsn<q  qM ״WnЯ7 QQV{кv :[aMĂ)c0,K1}ޱkʶa6lMrv󱠾<UCk?6r޽v 鱁ضa9plh]9o*3ܽro^b  ^?{Wcr̙Z6llL}- p$ d Sm8;Q@Є@چط=&b?fmg t8Xt%Jߐpye1*.aшMDl\"q쯜?~{~}/_^i]L^\J)ٚcˋƛ36s$gcZ,Id\mc1xj8}=mhƩ=JQ;•q,~q?.CЊgm8OOAW*GwxFIc-E^lr?z?|6$]r KMO*7qq{@^ qsrhĶ,0Ey( c1}|%zV Ƃ)WxP ϖLV"!z%;ŅQ?q,&Rf$J]Q\K1 4̟X PZ^r;%Ge޺DG+gaUc=ήOWT6O4'x};8rߛ,ge!93酢b5ׄk}yCJsk5x$^܋G g܂#?#[&aݭ cS^#{ uJlX6OHp<8W.͟F~rL;Vܬ[KĪؿ ϡ)\3'h$S哸rh\=`t\1t$nr H޿%4IΕ=UTXLX (afWsS]3&f| h `nm SKg;X KQW*JG_'CۡMLB )/R/FD#9!Ey"<O& e<4ZvY~☚1}"fe9FPO" `;ko*Mok 8{| ~o-j[v3I8xߋ'̞-qv4ˊ모V8 'qnԯ"9C|z{|/cΉ] 8v7o+ Z |˱ZC>.%*_X 9 ir'TbBe10^L^{Ս`Ƥ2/.NPƑt(:7x~=jY5|m=BNzJ Ӱab"e^LN(/%/lbaQQFQЂ[o_~=<ȭNs߾z/?᝻v:SoxN]}#3'A|b='7HIIENv9 75ک|d'݇pW$z!Zu%<:o+volC#}; #0 {ؗ-MSaLQN)eLQh]1 6y4ϟ8I=8<סsl9 jK9xD?w}˪9sr"<^a5厕se/ɣsw; .c)̩`03U> ad C04ւ-u@j NpJ"&,ecs:0N8 bհ_kd|j-?OYiG  Sp >>A~8' Ċ<<dtH;h+%8z2q |(Ұdn:73ye.Mè$eSؑw.;pbO ;I1)pǭ틱} nA"M3[˃+pv<~T>}OníKp ɭu~~ܾ.Mٝ)JOw#.8"9 >4<$EnǺe4$prƕ>ᵳ{)06D`3#}XGkĕ)inOy;"ÑGQ4|4^N6p9u3%h?w?mdEI0)U%4 [9CY_m\Xli]7/?<|?G)иxV.]HA׉]h] IEK9ķ2pفiU$?xx22VbղrM+okmXpѷG)3(3 I 37 AC]? gɫbUA蔪2̝R ȹQ*D=EE3y,b i\aд6`)][A̒c [8cwl=u=/@DK+ 竇i@޽Ƿƙh[6EȌ󅝝1lٜ <l`O`nGK v' ,hl=̬0`[f2#l푐x9[>>AHx(cbMĤT%g !11LK_qokoc()CFf C0:'GRv 4ƚ$ dF0;^&a8uX'M}'.P\>Fq7.IUWOxz )<{w(ezpf"iY^ǷO߿zÛg3W+K7CKl )-v$EC)ŪF*(7 \ƭkgM|оPSePT3C0bW_>&j5Ӂ&hyD4NVz0Wpey%(+ݠ2F)PKvlf4UNԠ5"[85=- %ֳ-& y"TP<l؊oR4|b_~KgQ\]0(wn݈c<qN:?~? |I߽wgN MiTơKNۊGw-rAF 0a?c3}=`Tomwƒbz%X"gPUF8gK@MXj!6]Ս9vaA}-:[aNM] er][UOyq|& ͳw(,+'W_<okg)ܿ~ +qdF*07#&0#xy'.'b^< V4 ΰ!pKkgSDXFL$ / y07A?vo0 M 㑘I/ҥg#(OGrrϿ_^ʕHKBIQ,Пm: 9yk7ʕj+`* [vlZ4@Q ^Ûywf<z-˧3^OGg9< os4d^[ue|s8x?+*x~1O/뗷 M/3#||_浍Xb)_<ڱe0-e'd7/X;ÕBYqϋh"( 0k Uo + 8BoMĽc_Uſ4tG(CO]64lľp:9%^u ŝbKE- 2&΍xx~7xz?p/[0Chر&{.ϜiSp!?~z+]=w{wv޽#hd8ęql&\GlDdǸӌ4`.c0G?~?r2BU>^rZs Ta8,3o9"G7̞&4XZX[!󾴷ٓP^seu%8w|\l޷gP/^=CVkC]c^߿wݝGfth(?Q@kR; (؇nAMi KC{gW{n  5l #G2(ɨk+C-"<2Q\N f!^8iraYq\93twP 2lhjZ5rڄR; ^ԼF@̋vf&?ЅvcKAl\6Ь=̓xvA2~xx^o>Ƌ9|yo5WN xr0>ܽ*Wyr pL8?< =ǧXz6-!X(<|twƳ`nE ĸ2 *(Be*_#ir*?bLO&pԇHpY_l?uq29F+aHUUz@Qš/tGW)<aN`,V3Y 6Rij(ӠϣG+-A$=zH0J(.!`ǎx)~3E& t\4.)عyB̙6SǓ7?𵇎p]ȘcK 8o.~߁Pfp7Rj/x3ۃs߹ֆľW0x5'V~Ԕ hm^FݿkzT*'c2;X:;Z`՜ Le<6Lǵ#۰bV /+ƕ&83OԪb}܁'ʭ ׏n[kp|k"W7]y:STkZ>M+f!<2m}v4vR &}8RחVfT6reAQqLVhoϘ"*yx#>>Q0HK=@[email protected]{;,#ɸu9rs؄8 tLP%ObЮ2XDQE<Ģzt/C 8k=Z@r\;fk'n݅khmal_́׎#&<uoŻ'(NұMyr+^3b{"?OD1<<<~y{WHxx~#$irnbr7efK,Mkh ue}SHsrpO+\])T u(FW H$ ā!iHWS!1>s EPTxnUTQ$G3 xZ }(@{+y4 (/+dc0X$% (+GKw)7<44w 4ǂѺ~5uf2h̜:aO/ϟSx L:bںE*9(/ہ]DKfX_\<i<ĕWg5Ŷ.ԔT1ݟBlq+).+q͙FaBC3wfϚ$EOˊBSeZWb'ޮ8;V MH`wa;S-B$Dj+h<f YW.5xlEDLڹ3!4hܜ+Gx#0be4$~{ )[shh"5RQ;c)(`lM`g`pG|b _Ȑ˒""("hWxW`ɲIEcou/|I##‘8TDjue\ʷfl"]tPʒy"75%9xt8NkKc^jlZ;MEV2ܶOin7?'n7>@Ls~~~zFq'k+xj/>(wqd{݌E .=M pwv`y\i0$YaIgl }} !ǩ1?dz99|i",3='G 9 iQA4ΰ2׃><R}<ZSe \`nk?댤ё\wJ[BqQļhbuA M&,+ Kqe33͖5rkɬuؿg;ϛuQ?i<jUm ײZ߿x;8ڌd QcPU5&}"9 v0R}H ǧqkjh()#titѣG()v6Ȣ15/OѰ+ĆUi)V/-- kkб}Zdrzom{p?x40=xt$6,i0;GWS^кbk<|o_G_kr͓g/'`>y-\gqaM`h ?m,,}n0IgH VYAPgﵰ4 b4E9(+JQ\ h*(48Vi6BdAdTHdddd\ ?b0$ƅ#-9fznW_?Yi${ED`ZLc˱N.S'KMg-X[GCuXmY\sXVbZ$D8c*F?[76ϏѢb[|q<ٱ?=/ef>>>?~}m\<qPNob%k4ocT0<DžShJJ>y \8Ks =-uXFm;K |38z2x>lGNM'Zz4 ښJj:d41I & ;cjӖI{Vf.(̑_8,.&ˊQT^|ƇB,_ _YzK lbҲG?zv=`4cV_02^||nBFh yz,IDATq5? GPtx*DB>ڍcۆ5PWO/jûu};L:V-ê% оfllgn|l\(ȳcc :ػx??Nj-o71_ޓ.;c-[_ó'S1m98Nny 3wwA[+bޅ}K`-' ˄!0e-d325[tĶ$ +(a(͂$F:cҚZO^eIi `r.wWXsHyZ_ZnBDGbʔTEióMByN\M1xrn*u#ьݻt8=ǣydmC)V/c7ӵ ~~[||| 1.߾]x|zO.ӳ;8{r~`Lo8_Ďk1on ?&57[~=ipy|s\t ::gM`jd]k[@ [[k8;"b|x R%#bݑ(_S:1r@AGќiE|rYOoprc7|k@9XA(VP(,' Dž g?E3p>;:1oԍu4XL<w~=[1kLvl@BJ<td\Y}%9~<vΦ0!(DF>>bkj o7g>5hkhw2)}agm*WP65bŢihY=MԆ66iVPn(mX=˱mB8I{gHWn؉=o]%>!W w? 'ĥ߿79.ŖWˋd|/'b*Nq7jFw7z˃nN rALۑ `j*L޷ _M3BCYy![)I[ :G;\mm~ )' H=.Wee/{;,xxvmkC FdT4BB`֋BU 7b40cƔ a\eƕgb:HKز\'vL .t-Ƙt,Y"/7 @J:+1"뫰mtx{X27OwObwr̟Tǻd1 V@(I&>hwnK2eټl[5K]HIt\<Ha=#cPqUa0T a 55U6b_p4Ղ. eWp{X٬`0r8++@WU*o3XSHY! (?KYY} _o/dLL1,H ZW5.K B|~H sc=fLX)4 sfLуh?>hx><jFipvt623PVRe᝸zb7jEω2c|pv#h]Oo@mc`~o,_쫖 aX9@Ӱv B'[2Uصi p"ƿSK ];WN\\9 ;WӻIi 8EsgxDL~tmqh$:~> ?}}Msxwȷ/M(K _SG꺺Ğ,UgnmK;k%!/-fۀv$.G "$"# H--& i)ye'7FIWлϷπxLB͘QXH̨-Ȕ5Z(wPLX(aӺRX)aѸ,5%&֏C-ƕbL8iAغa!ԇC!>>2掃Nۀ"8f'Moaxk)oQ|Sdϟ|VOQ͑0;7[11; ; E0eȐ^PR#:#~ ~{E*LuaB|k)d_ S*Ca,@[ŚFi~: ㌪"cz 1Q (+-X((C Cn~ 1"<w= 1gT̚5'Oѣ0eB5O'3ڵ Oh4~xAN !ZPb<27E^~xnD>kgpJ?Fx4ځ7ΠyLiL,yt0x2z} ! HMMDG{3V-%W,"ޗcu:D>MM\ۀbW*ۼد7,%QLXڌ:q6\;'(nŵS;q^b%_\;g([V&1YX ^Ќzt_ga\,WKp\@1i ^]qu^ Pvuu C1p0 Sׂ=19-= y2DibۂhRLbsY WE[ObM AR\"CrP\(շ'c@J QHOIeV"Ņ`Lq*VaJU6n#Nk>B IQL d+}|PgBFfs.l/*Rƕ$(=[/b?Q]%l,'_9-'t&W;}X0s ̓Hxo㰎/ּ;Z$;F\nc߫JA;(_&j hɒ؈|O3hK!iKD rA<e&ek<4",MuQ^?W_j %eG?+8ϓeE(""ٹ9dX8g!ܽ~%w01m8Ujǡvl?|?>o^+"'3IF #? G`?'K^]z,[+0P qu gD[fFP' QB^Cѭ[wBEش aiRt^~׺ؽq-ڨ _|} lp-vQƱ:pV\>gmw܃;'wo߷aE+޿w<^'ʘdxÎѝ:?^~ 9? ΕXH:r%{e(h.LLH]7HQ *Z4 4!.60@ c` ǃ,0UlK[U~xDR3+' D DjJ:c3?&ߘh$&!8 ьu}{Ƿ??_$Q;q,jj1"q4y9|z & *2EzPi>ok*gzreqÜ8)MBd0'@M/=-|Z}EbjFb__WfT+opqܾu Znb/~֕@7㛘Q_c`Ϟ=C[E3ÔAy tS}mMؚNV5}<phzbP +Ɔ:4fru) 0X$gW |E nݿFhXxqQ@\,))TPVR3pu"V=E`rz\<sVɭO3&ġvb MyC%Z6@Qi6"`ha*CxC7.Oܑ=xt4"ma6ڃC>=A˧V|hR#)^:p|-I\mA?+a4-s6QwԒޖ%ضf>wM+phj;}`#Nv]wqv,>"'ɍxƶiz|^=7d/V) G3IJ<=d /W\$p++ޝ<=aM}8fppw*raHM@L.bUBhh(D鲉QL;?O[dHÝ?\Sg$={|`.$F.?/)GuTWP$l“1}| ,L=];(-HE~V<%tZ xt ftKMBia**J3Q5irߔR4-EؼvhCv~2Gq@+͍#454D7gJ -.Ҍ[[r.hݡD9udɔ=xd8{SDכ⿯4B(eP%ȇЁ||x\Q2LaH_()S|(` EI,տo/4D} C@NF3H(<YrY0 m i ƥ3+k߿d@ q>*1vLV3_OE؃'P?qL1bJ3kjj _X$zt́ $9-em/ +M KeCCC+)c(CzCCmI*+sց jV.Dظ͍ѴY:[^ i&vĖ ѱvlZIAN=S&`<_$AY7/Wܾv\ 'Il'w69 ij{"Q,u/fME$ 0, ~!, AR8xySĖr)_¢FQYp򅭫lĠ4~ llM`fi,X8<<diňxdd=f4ٹBAJj ECc?:%A41$MOxy@G[__4o)˕jhj1pS:h̚\,BDb_>Q!hm@d#/5)R=]L1/C}]1fN*EQ0g̬-14 Q-Vkmaxrpf|zq N ڪR<yxݺ@߀M"_ɧѸh&.?@?w)Fdx&`qu-zS@Ij"r>y+[5rnAaP(  }0C^ޝ1CԌxD0Bm X=.u}5 Us%[33Rld"+S$E>[^AlK0et<彼6u8L밸Ǹ2TdaɼsuOp_X't`abDp*pV4eCՁ~!&D*+|cLmEQ$~?DJJB\d.ZCE0 [V-B'U fv-͟s'y$,E=YK좰رa\K1یt7;Mѵ[c\j^¦3 <sNf*&oc;bѬ13c,2ңp/4XBT| i}H/++ 9yDg"iV xݽDd%.4׃oQqq#HihEΚO[r~LF|#QapEd`ů?WbK*2 e+j)."56i1>; uXMK9})hR#hJ oZ$Dx<߫&R/LEY^ JrPULNYغa1 RƩrRpvܱ' ߋ g~Ɲ|Mk:|~K '? 9T=S&ʲa=uC?r~У݉_a$$";NR" 2=k޷o|-_2tľX1B*Jn"n>~n3e((Mrshs$ b8%4~Aa sK0n߻,<JS0ulXހ2U3'rwu\҈}wA^F̺ܷ 7@) UB['"k˧Ml^Z(#fan-!0Z*5>Oܬocu@Dzغz>7-B:4͛5sjaT-zbAX> W 8{=[;lYګ:<w:l,.5m8ݍx%V\VaɌ*;)+5P78 Eu@ǒ>5 SA;U"Io>2ȏaחKݩ%ãّH'sFcT(×,/&Ҳ wЈ0j Kxj=iԂB2z}rhz< S壦,LAۊA\JǨhfRdcԁ^xib3&[:e9(c 8D,[2 m x@oX`\>_'1Rk1ًS&ŋoyض[6/Ǻ8C,\0/M]Cf<XC#<nNn={R!yG1`P\j=/y9_u2}PŋWSQ`lU" _N>( ۯP6cPXL{? YYYϗQ41Y[? ů=[mQWW+WcMW3X0&6'2;=HL:^12GTL8B ;sr ݋:q!:[De FO{n='.a0{{{p<**PSP@ƶCI.m]砝o]CVvULr83-Kga*v6XVMfHN?L?"O΅bfY&c4ܸ;c23x{$>׏ӫ_:{}rbI?"+#,,=~$XG'bX\\tua _$$D!PLupttIgzz?/FNVT$V&7{;,̕_Ë? n6ԧ)~Е:| uu`ifXL2S&Uc2r`RU.&Tdc ̚ZK(반A}ެXd:1p\6]8o7LF;Z3E;oAp2v5ak :(fӐ@ԻX;"!g+9uk#GY|z\RI\?,lǹC;Y ӹط A._g؄bVJJ:{(` S"_ :#GȦ#JgiLvf:p0ׅa?YNq,_/J)(PT P{*aJ2њ PQ` w! KMI@^N*3I,~ȣȧp Ogε6iSuPE)@bф?߿?+Y)$VN+ d⠕CIL *#=p6ܢ% ׭X06&6A GAIañlT gՖΑIW4V.K( eݾ{;VcO ٴ 9~o]>3{7?Љ#[̞6?؁+hxNd˗.Cw^(߹$΢EÐDDPX B 0#02J>ǂEl00 QOQggp ?<Tg_oYN. I A\J ӑ Ȣ2d0bbcVpp_V:&fп/Z$5BK}$cbviԌɕc3Q5X2sӭhY;(SHt1y>w JÕӻpATQ(kZƂ@;ܹz^$;/ذoDi֓5|y{[^1T6CH.NUDJ "C;IOиp&<!W^puqOG~(E!F%Ji+ DR+Ñaܱ2Dzn-DWkF@Ero)_BUuc}]0\2% W_}KB EZj2 rPRĸHFY4 b ȥay>>KQ0'ŤiuXފAEؽ H߱sC}B``K[gd'cVu9OQXM!/Ӆv#&à9½xr":[ȫ)!A0RaۯKEb9XD`,زd&75`8ԲDJ&Ot-pbئgvƹ=d|`.nŝMIpe:n[یvxy0ߧY`<9ÏOchZ$P#%>1̝<@SS @ wg(1E kQ]lQp'<| (O9"-mMx  d#.)^L1OXXܼb,111'?c_d\XџԓM c]ci !&xI5?1 G"/3'c|q͍`+&[gm&;.WŞkp},lDh9e)6w"7ȱëxZWz7 |z~_:ŁNۡcûrp!)on{[Y ["ޕA>pq󀮦6(UCEƀh=} h)bĀ|omG+syQ225j& 9R}w=bPE Q++#U)0}ʪ *`En0 ALOEnf:ʊ+KcvN&PS5g|ps)tMiY[1t VjhͲ6?l޴N53 >v)cP?y"&b5±8u`;ގH-h+A߼gho] |9ÃYy8gQ+ϷBbNgbbX4 ]K뱕}c`Mh[H<'ssgv5¾fZpaZ=ҁ CooŃ]xvqݎwN˃ yyp>>;GiVeV܇EbE x!!H\@`B8%bk#*ij;\=}?7_,}1Q(2ȉ@+ҳsb?#&I>¾'aȸhbZ$.U}?FWWO74#jLǗaJu&cL~֕b 3'bK"]<o:,܈mPoCXhLTwpjܵ> !~0];7ӻ[xB_MoZ6 wx}ȧe|_'On?> ?u8vM :HV[\UmjsEr(ѮF 0Xjv%eb_F0d35֗+ ֝l`M시fmH7s4S+DepywM}1ǀA0&'|}erbb@.˓('gdi~|i^յU6}7_Ld`65~ѱj[k))I|⸱Xx&.މ;;p;[Bm~w|zx ˻~ xsƄ̔ypײj۲4a6-CSI4;F?Nqcn\[ְpnw N'wisq"c]/l_<? /ă3;~,~zt >;ǯ//G'i4/o-Gfb|J~ }菂@X,3o+e__IO91B̊I@M`1) 5Y &D"Z?!!^>aqd-4khAnkAn$.M WS*4ChIlgf*1kxa(h]Ea)hu=ںa#l'vِ?v`Lvxf\Qܾ|fv4!<bx,Y\v`F=i&xy4 .ôic`hj4~Ngb[óx sEۈLTeTG.{M->V7χp%*A[KAMddqLA2a$PYL<O 3 Z#A* SQ [OK0x0ffr!У`7  INEzz\l(r9r1cz=߼_>c0tL\K0 NŨ"|䢎"@_?=uH^=QQ OWWX;HKCqaF1JK)jqB_2KgT!v&2ӴASf~1*/Du5F2(d  _O4LA©_8 iZ8 Ҁ}mKDMQ#Q0)=spDvNpQ"t`\'ނǷ&ILlI}z7݃r_ӭ[as w'&iaHWy؁ Q2ٙo7""Aq*pyœ b#\\Ʊ0zwxRX8Ӝx1h F"iyȦQ-2Q$[ ˿ǁoaUm]hA]#(j5u9U18I44HZCЯwxYWi+ټ+fR(Ԡqhlns{[email protected]?Opvi^; ‹{qfuxx(>C'o[Ē.h׏#$J(]0txr ܾ?D_>b3E(ѵmS3 ѓc9]:bp6X҅> Ԇ򜘘@WOSCbe SbX1 gCD1}csGiCE}$7ÔiCWׄ?HWC_uG# ÐG%II1|:%@qq2_^84J^8 SAq[dL|:G.<YQDī&Eza̘x9Y6i4gM𰵄6 F >ΧX3GvЮX4w&͙ F:#d<H @o@gl\:Vسr6~Ckcҩ(jwokƥylMk{qP;݈;lOmaی{7٩.:/鏗-›{^qo4?//Ǜ;ex,ZIE5,4AA$k8\OU0Ǒ(hoOOwB f60wpW|)s--y:ƒc˛c*1BQTg HA^~܆0<?,д 5 U B(U4աqŁӣFs bj5-B9Xpf3h'>c{q(J ph\8;.Vy0^>OK4U݃q<%ۗ8&+2gыgqAYBQSLlRUf&Ťxx<~N}kَ@_Y_9ZZ030Q075(i#~HL`#&*%94d_ǰ#CCBp09@U]4#CŕH#AG[ z}6Ac1|8"z|>~~v5F 2ӐEOOCq'p| ǬL7㗟^ BLX!ϛ3rBVV&LؿMoޗi~񀳓 .B|P=ZlC)`+AYN614-]Dav#`8|(<m̰ejh'K, bŕ~_X{)ػ|kf@l]=;|J\q7h,o#<:։';6<"cxyz^ o+{A|s5}xvzo# UԹ0"4Q ;W/b7-14 rş`iL261i;?xˉX+Oqa/{RK#./)CtB2Qġ4?a M0Ț֡QαeL^EZ:011C}8W0:t"9rhlj^+p(l[[j Cg Me=ø|]q|;u"]b32})xz8. 6,ݳE|}Mܻgv(g(WcgO7矟M 9vn]O`f##+*BLSB_*j2?0Fꎐ+CijS*Q,+-Qj2qHC(L]`0zvX2\I!@cŸ-0 =m(BN~[!/Z8/& ,Waʢ&C~mM5޽{~\c&fx]s7HI/7o?>QɈ.u2 |ihJGa (+P?qB,L7 AV4a}g}-Ke9.ڎC]0x,7!ا7Նcz$7}5<ѹr1v_Uj]`[l_7{6,ıjF\n*%g>Nn[x9v5yb>&ݵxt ?<:{ѼWbli!t67& ĖqC+v!} ĊjCCGcO@4:* prt..U ZQ"ddd1]s7h8g@:r߈W&t)(u- (nX~X8ۖ-Bڙؼ[cI}e8CQi+ѹnDپnZXC[ЖF&\8F(4n߁DIM8s5.ۄ{vv 2a8MQ1"Fjuw Ožݏzfn\QH?xF.=;à 4Zɣ܋lH?χ!LSPTU+dKc /)/Ǹډȯ2Dd!4.~!t ݽdw;xŒÈBVfՃ. 㢑J#g#KdJOOOFFz\.>s&6Y)'vfM(Wd3dfEN̨)CJ,ů ,C6&pMDif<F& DTfš$- a4ƁvBTj 0,K0&?<o4)1pujz", S0#SS|P̌ ,)qhIŪ XYcvl2jt`k}! .m^&Zh蘚]sgN *iY蚖ӳejváRn@۬R̘(2!A &1 l41FA8 5yD ~<dU` _Q1$xPl28FxODZv*pcU= k0<+;$%Ic_qs$G% PRTͱ.M\;GL[[b|g`o[@L/=*Ǻm,lXQ/W Rn[`sxs|ƀ58{;pxZ@d?{h,*n3ukya/FA{ H92oo߼ w]rE#qKBZO q{%#@ScLMJ>#x#9)!>EYa~$.Z8cV_0~xTL1Uhhl(=%5(*+3[9Zba#b41N$K;0F-;ֶ6HHGNv&I?%r -#YfJOHDݤ K)b<KV-CY8 &CL85-ý[WH򄽥1te> E # an0$=iH @rb=(_WE!&i8$GH#i1A2?M,}T;l1?:J/䆺#\PꉂOd*)S0$>0LȎD]~,P?* XW||\j0ǡ63rQ1$)|Wajq*;sFe`FQIDzh_Ty1TqK0{3PC@80nsXec<WD""1x`J)j <~pbbJ.p=lh\Gӑ/azLVycȡigL 7vOh,\?ZԡabСP&wq2h(w=㱯MD.\k"{{([cXX (J䶤- e,8wmq~< vʲ[rg5||vE/GsJ %n'G̜6 ߾~7.)d!mOA~1\_K#@Վ,a0RVĸ2R DyEΛNǾp!z\&MC*q/DUU5bZ|TNDiBb-[h+OrKOLdľ(tuq4ami8䠐F "YLN+Ye1fn|fs YuctTO,W2v]#^a`mm}SژCA;z<4S^r3TƪTޏ pANB].+9"Ŏ I4^2\I'{!6ގL"u#Q( ']P(D)\{Jj30e`Rv,&YeX4> tuVj0%?(OĜL%)yS,hmʹc1kR j Xd3FU$9$ə+8J`򻝍-qNQG w@ľoH }qQ2=m0pjQ̙)1uL2Yyԝ2¾'Gid(v#ԡJ766cawЫy8زN8бR+3/ݭ2MѹlVymfP ޸;P4-KpR߳ZqŃwb'jžExLi2~~v|sGg`\Y!Fw <1sev;w.`le&Z[hC]/LaiL[GCC #0q@$҂9(t|be'+, aIx"τXN dS[D\Ҕ >hil,ahl?03DA~~.vqeYlEHMZ?y uo L;gäYSb:3.cTy%Mg6-+p"~P8R_N0w~HOABbܚ$8,1f(F>9: չIHwE BeD\h0lW?}%$z#9 ~HwB*(3nȋ0QaBlGfFE(13tROEnOdLΉÔxLK~ \qrRc10 *8LX:9K&ckI7 cG'))iHJJE2ATF{^(Jʿ +D)D__?6YU VG\qkdA"_M7ctL:ôieLM׿cqd!án5] 4HS4h;64Lu0TQ,0F`|q6fjsinZ[/kprZf_>låcbEF9ApH;Փ||nKqܽw/]xpe]݇'.e{r0v҈%w[Lv607M``j =o=haɧ@RTeԄ&,2Uz33hħE =X\_BEzVj' "م)LQ;f4R, 13a#BO1S3c莀<G {{k +:Ù"<W` |jkq%ٳfOL$j놅L.$w_o9U&#G2h  U '!qfw4B h+#<["^ 4> q!cP`r}7nݳ4ް0VKUC`>C<R#dsb9ᡣ=6e Xla PBx; 1TA BTgDku$X@&24jlG=X>?S`TPJ3)ٯYJHD؎XؚϾv񁛇;lI8  )(D  Iӂ(@6{` Pra OB`PI")EßqowO| Vr>}{o <xH,(0>h %9/#]+{|lo'`R9axk\~xF\: WlƵ[p\9܉{gwv6.>Xށ;l$3O0];{x qbOo湲9<|0a|h39>FXJ}=YZzPa,  6_F4nȥ)INhu)q^?a,Sli]Pb{JU"W#xa yx b)3eMHZþr@R) t4iX牠@?E0SAE=FfҌ:S y"yL!i?‚"'Y%0p򂝵) i O_1OqEi |_}.!H.F2 ւ썔aK̹[DmyMuhCIaEq G;@&@]i&eAw^ }}} >A_(Ձ}1t %>Է;TpgPm>a2Ç@GcvH/ 0P#!0suEy T0ج5e # 0⫊/J*qe++W^~-$!:1bB.&O\itq\dU9%J!%!:.q?"~_̾6A}cA%(U"811Y.m_ F^~<sH!CjA)_sۛe7EIZ3 ;bg[EbV\<Ԋk':qvܻwnÍS:pf=UQy|zy?_܇7!qűBǺN,m գѰ`"C&@kCR`ju'c:4a8҈<!<7\S󦢣m-0SLA\|1ƾ'kPP<c'a GdB*i~+GXd"AKl=&2Dfb1*&XJAG#4aLnWKϿ+]!!!h>~ή6#)5^^/ 3[X[r~=zgݿWqyH p9\^p4Q"\d;#mx;z#, ľްȊpd t(O17ۯ0W֫Tzw<y0ui^5*/b !9FuPM jÈAy{(LG(T}Lx4R} Sj QzTS&ÇAg8<u$$Q_^[rꄪJkPU3'疏!+/t_^1RsxΩ =_`L.EGDd,y jhX^psw-L`fa@ 0YnY)2 PA_Z2jMΈh$hs<'U_ G8HEj!C`@~HAE&z0RPBeQ.6X o?b_R,Cת8о Ė[q@'n]۳ oߏ'wx#pvަg{pl'ߏgK!x cr_>LHrPkGU%X-* (`dKn!W *+or uDž 5҂,;;%4bY4cjBln_0T*D#G}(dl=_]DG#ɧK3;b64Xj.5h2Ƚb/l#Վ );9D^*Lz`@Tīw/a$ 89K_/W_yf@z?x0K^o`zn_W_w B.Ub|*<m`gW 5[tCm ȟw." GK b/2#=1yL.r0_տ@BBgw(}C5lpj*}AcPoGC#tUXC  s>E>crL<5Wo$|aKNψĴZ(MlhM>%%%.GVFҒBOX]\AiA& yhĊ1 Zc\\(hjj K|1 `X.$[ ^+1w<Y-モndo{Q$N 0e X$pP:yq^3Kѹ|v4ciX M ilpd ߱B58wkf[6.lŃxM/i؄'DpF\>)Hy/njfj@=\EQW[蚘`6T5ԡ<BJjjՖ  s `滑hÂl  xmsQ= S'OEPX1&qAHAUxt0A14`KʋMafa 3U5( \@0HYEȦJPd[Ē …3u#c(ԁih0%a=C^9zrL7ݿ{n |)IHC%"]dpS an#-< `x{RФCdV5r‘d;$ZT߉o7ߢǷѝ}&NM$}[o}>עc0cﺣ{!={BXW(s"Ͳڠ9t0"Tb6RI6&zNä)(ٿ%H-FZNASӑ(2  9)DR98"b?lN. tptFPD$bS3'?:))HHь_x ȲEᖊ1+!+ 9"22##2JURb%u[ R{={>?[K5OLY8qkm߾3G##Aj)Xpm$s Bn^bb:XQc1Xa$Q#1a$UP1}e Avz<zmuToJu!q$Nqdy<>>>~>oOw㛟?"lgϟs,UWO7$ %QWoϞߺ߽ox _|_; j,H:":ʊ"47{J5s0c,L6Sسg+JL 3c541$y!ZenZ\F\ͳw ,hmǵkQ3˸pBc zHI\gAA qyf.*H沣(e̛#JUuUU}Y>B5yL=q"1K=~ m(H=W'm68)ΞGKGR0b$FQ6؛#F6a$ 3Yw-УBbSGH>qzndFAV~dDlNߎddR誵tj\K"vt 2i6P<^xÇ(ڀQ$^`"1jpd#庈/7l\ "8ƍ|$#0^^ 14g9 cؑ4'dd3)4a^, =85/GF^1IГI23"-'_a9<:B dJ{݊[!\+j˙y~!f!%JjvJ9ymSHs쏐=}=Fh#GÉ}v LW؟<i #[\8CO!ugڝ>D?_>6>@쭻ՇGW|x~_~1Zf<eWO_>TI7Ւ1s/o>Drbxq=b rPYZֆ:ٹV/b 3B0y]6x&RIAؽuҤh~7Y$ IаZ<v,587؁k`&I+WL/</>S@X)fq~I S򑔚GTvnK_)\cc8_D;{'M")N _kA&҆c'` ESغWOIlM(?a2}$[LGƍ!/+/+#elP@ P1 tdv$i {w1Վ(~qf:S2tU0՘Q[UԈb¨ hi  NRQ|(Q\hn43DZ=Թm"+3kR!h Cp؟4s96O †szLߟ?9ˈ< 'ˉBdTe-EFv2s4'eTqC.%I)((,P;F  Ȝ|~fV#H* -bUjjj/((?Q醍=㘡@K5[x[W4{tY;B_6kgՎ4t۽:Є7Ǘo?/z@n_~|!~c|GO}~|2{)F;]+o'o?FjR6]M; 압h'6oY+W.V9ΦOFȯmZ Fc%NQS(LDrL85DxqD?\8n]]O_ǽW֓k 6h6jbR-,-$+E:ƈ\Z q)ľ%Xv*XT%0 YbDQF/ǩ6)('}rx;S}gM# AИ {Q#hǏİ1prG`؋1fLydAb*GRLZ}i1{=暈TK BNEn&MZU#43 );a\廧&2Y8> ⫇a1<AY7m/m~(10n$G@[CO"&{Lyw_ 3faXJhLhg[Za*ˉ}td .?'[lr%'"=5mӶ{nڵ ` 9JbAm-b~*Z( 111* @t:jLy,w,c=`A@PmUoi17g"<YrO8 $Rc ؽ)$dD9@DZ UzJMq*i)JAmI*epkr-PGS -hWQvgZF n-zj0P_:-Z hELU_m*#(`؄磈#IeKvhR#}%ɪfYSrUto=:HKAF|,Q Κgň^8уƀm͍:1EC4k4f7.?f >EL JVйddByiŸ8_D0?x,M$s㥏&+1.hSekV#"+ o{0mƱ_L ϲF("#|$zL>g|l&Ŝ6`Ǻؾv m#w]kaضfV{7zq(Lݏ8y),qA*M&)T#P5v4h~cxb`ҭ_"T2YΞ*-mPŪ͝?oB]΋rcFhD$0TAEQ9Gi 2X\YE_ĴTDq<IzrDDϣj" et04Et6م$$Yj5: & <|x9Ly,QQ'gAيxNx1{Z/C(4({O 3v,pU{8ޥa"ݾ^ml_ a#:! YĨ0_y)(͎Š,'UlIiSPS$ lڲ 2Q[ .N<|_j!g'[ZFslRq.tlDGIZSmV'b4´Oz #񘱁X0/ >3ݿO DžE 79^S-,UYnNt6ڹAUe!;w00;[k+Јx0X=[h Kҙ_Վ88.:"ڶ+Azr HE ajYXmby"8nO<y3?e(\S0w9_?+B&`$ *0fO0B8po0tnj@m `ژXz#VY bX:kC`ÒyظtǦ~=Wc8'dLhl]KT^$a;l`$bvI$cF`;fSADR=ǍD $ƌ|Hi8YLĜAj}+)6Z0k™2t筍Mt*#+(56;V zd83$\:$<'Ī-bh2RQ\VŁ4ŢcZGg0`E9O!v4\l:Ԙhl`kGCK+n7iJJUOa32m泬A_fT>e0B*<`EՒK`Pݺ;˖i ۍ$xY#H9(sJINb.,/ y*4ilr|* x=Z^7TdɃ*9 Ȍ "mZ?Ն& qndsa_/\0ar3aﶈؗŋfu~95cӺe0΂iÛ7qUٻ${qȥ[M-/BǢvr${&u ZwN^Եt^~X0QTFBXTMAdd>*+J}ZX61NML5ǜ &O' 9MpK!  30{8A3^ h+c9qH2=qN)Xr֮^M/u2CO[<x¶`Ղ\ڹ>b چ-bPHQqΛNJ@L=Ng5Z2a/>8׌C>ju>)a>?f4q>y$Jz<{>L]q)Ab[4woٴl!V.p{rvzAMPDiMgj-ѡJ S$7R,5AE%U ZPik UeՂ~BS{ۈv8=>RHTȟ~H4L8&hfL J=yI޷1grPXo۶6#7-{ZXwl@]H!!b_IP2;tjL 3a(Ɇ,lj|T^O8wQ;Peג4pVCDG.zQ8>9ɨ))g(?{f02`7B._a?fk£qqݍ(dKM8)tVƹjIVOKw]`ჅBnrxף&zͰ:WX_kt !!ďrR﨤XM Ԓ`{r]'џKC;wPdfcƲY3\wVqO8n"BƇ`)vx"$P7>}>v0 M$'&؈א-zŵk'/b_`ۼCvnîq~>ıcOVꅥ g*,AAL!<ܜ`"x~/nyq<"m<҆5b Ĩa/L{?5h<q/uA`9*+bŬXhs̯\N47OQLi4茰fbVB`2P[وjr~i|,=5M- ?z iRXe6Rw@did Hր\&@ԧ\.  ~_ $@^/v,O9kEˣ̴QRƌGrJ'3H0vd"0s&c@qG#$ۃ`i<`D+gLQ aF-a^<`lx TbhT,#ۿs=ʫ{V$f5>Xhut2 8H!3N.;4Jg{<8;7g7q\;2~iQQY .z?zۛp z7u^=sFfw#$ V 6x;`4s3`dVq5KW/@h⩑{ql?؟4V, bS06F%hҳ~6m.j IHuc&N(>7};jD UЀ},m4Ҙ ~!BD2wL|xt.`dOډ*]!<8$|16-tN,޲a1&5؍RE?Q"b4uFp|Xf^u.4Iq'`" :=c)j3dP,XmfΝt2֌hj H+F^IZPӡאHhPE/hI)x-<>%C)B2.&$\!y]C?c 9$)iOQK^j09]$U(Q}X@J-ҕԸ<u2#0sEHH:$2KH6n\q4ʣF'3LN="E6?~|0fƍ|v}XF"㕐{kycJ{A_:WVcQSM:z<zx 7ǭU_ء6e,֯<|p Yqx8L`6_F<ytnC\^Dډ{a.f]>t7x/H_&G#,<oI$ӊZ^3829UA^FZbqؐ`jFJ<Rق_|k֯֝;)BOcbta1Ha:e4پ3sa9 !F173|lrqI$DL{1Eˈ ؇$g-K SۤQ<CgӂFbjH:o:tzrƌ7} vq ɲ1}G? #HF VߣHƍ׌#K3VrH!啴cHB>WHDBx}X gN %&c݊9]&m]ĵ9EH-.C&I6uvi[98 $R|\XHUjϾ*`מv1HCvA KR$+OY1}G䢊pSLodk@}S3E2{[^:$CW`ޒXj-Bլ } )+A&DR(I((Ŵ6 YO"'}MF>lhs4mmgm`]l'ch8 G|OmY@]-6'aXDApܻ{wn^". IL+q8=d<֯Yf<~: Sڅhe8׎/Û=:BO 6e%j򡫥C}]X($nܼC`{:6Qe5&h-.,l)ԠTjIp9*`Xd&e4D+ۧY vm'}0Q4xkSǚ1i6/(7#c'aq5N `q|,DL9ef%&`$q?^`_f{ݛȾH;/m*FsΔqjov~mfPhHb_y#(G Px"a'~ȱįeZI`E9G,? lP$/Dh[y/؂g5$Ṵ ,%e9 *=hFQH+"o4OW\RUDC=JeEݻBJ2EH$R2s I_,(B!>9#cy^i9V *kkhV 4`Am,9z' ϓ5ˈQ)5{!$d"F_Ix#lظ~2O!d'&%F>F1"_O"ljc>1|,cfxd~M{l^W-v.eTT **fWMذ.TgM "W@O#^~p9x+8oO=[W^-ܻv  Gp"j*ZakooA[k{:౛ҽu0{ap5`ǒ1TW5/2󫐑Wmv?.G-Bl<8U4oʔ)쇑/c̙3G $X B ђyKlN&G+EA'uciC%sx8ۈ?5I 6m"q5LB܇L-"g d|rU@0bdP#^x1njgqO!VC8dؐcć9)~_(صĸdC8| ^1y##]O0D["}5 = (Hd64q|]H0>#?CP_sj<, CDM8΅vl곲rl6M%Ņ*AQBU%~n"]8jRKdD(R@ dyd s"٣+6Mn7ZzU0A>/֬RiVa%1g<S0M4e2I&!Ps67oV:F g61bf&Cx 25`1&' : >$ ㉘6DVx^X~/I &V-_ ]Yos].sz %6T$$x.U@[S Lj8M8ׄA! чqˇo C(Aba$Vۆ5H4{lAjM{PW 6hM%(@C"ռVZcsVڐ_eDJA%tt ˇͬG~Ivݍm")b7خfc통Oa,Y /# ,]JOfޮ0k\,ݴS.Ÿ30nt6~(1ߐY1u\̚?HUم]s.\8Z%X|f̚8NT7 LoB`xNaNfL3:/W KQ?Vɿd8q"ֳ̖ jDfRE4li}ܳ<Iɓ%[`kM73O&3sfIL3h<`ɂ9XNb IR6DE$Tf$@K6T߫gVe8PM1XWHT<؏7c 8}))k& (QI6jjyAjiN)ft@kLoiI8v؁_zXMg." EKT^B$X>0a$fwC?f0yO<ӧaU4pJhu}ń$c>iAajIit#)6GSERi/$9CBB_I^t6,ñcavB49n8%r+H`P^G04g8; -|my6±;P:7pfMjbG{.]Bք*" $QN sEFqم,$jk;SI##cy^Gy[xv\ v4_2[0"DyF0gM H|O^$^&A;%yS1eD̝9SS,PALCr VnF[r VuC0c2ĴY?s6N;d1d0LJ<4sŋg`$|X G?GfE0;&"47!AeQ}$ 'BM#L_,6X-UNM ]4Wu:e"${P,J?3xtk+܄m׹&yz텵wӣX^jM w`l݁Ԍ,6J V'tF:)<.S:Up)qUҟԩfn:JkA#S%CWۀ9bC/U4IȠ vWY4DEIF'%L>4 S(ȧݗIq\K;2A`S`+g8F1s%>BH_f^Č-FaӖU8tLVRhKqB \:}~.L" 7~NϫmP+_>7_{Euq:bE8mCnr|>t58w8:ۉ}?_J34ķ D웉y=jl^T #99Q\H۱4t&RS 茧pb݆ՈMƑȣرw'nZqU2i36sgaJ0 p g̘31`'Ϝ=``,_<b<ZL_j&̤X<ש*/5sOM~Up>a] "j\Y| X`LF(̏LGY -$_W]k5n8FGS5>ab~ C*ni3),gt9oyRs2}LjLl^l_,ySz<,3 ΄mM:>? ;דmz=3KsyQ3!:K$HM{ozr (6ӮHv\@CKvArF2@5<4vvq̣7/ن\,l۾'bjr<8Zs.$ouh;,m0> zGN%+M sAİ@,J^N-aLO L= (&Iv{h|L1#<N8#(>HͦϘ4[lDll4/GowΞj^f;y6,58W?STf7qn8w3n_“ծa8lF5?8DP/Z>x6\8wA*(7סA^נ8a>@A _bdACGvcHIQ'6lQ )蒺.5/6mڤvq S|-y>mjHL-=:~ }BX4o}xeS&OX1byV̜@Q3$},bk!sϥ= B=A\#Xb1يübɄ_;fb0^5cl<^5FFIvKD]D'gD(w$p< BQ/[}Od{'T<Ξ>af] w òųdllݶ5*5bz+܎z8^MFF ~S5y,1WvþLUA _Hdx<j9dHƁV h *X K$⏱<;!t~,\ (eMؓ-~ O!4!sV BbBҏ@I|M#Ι6K'I:j/@]F*Ah<%Xzd<)B%k.BRIV,Dv)rZ:Y2r K'xwq?+Cmz8x`3wt~eEój 7%eQHI<9d56Úٚq ^khMofj>TnT<0i< -բťt&Al߸i1{;`dYr0;wmš=? Y*EplYbv( D(禍8 GcehK0kb^+WѰ%؈cQ d"9'7qغs6nޢvm@l<yg1KKsPgPW{|)B ^hԞ9 pBP(ɘ E BHJЩ|T:YS'a<?yV Ǡ92Vf2X3hl,_keez"lZ;6˱m N>۰ms="woh(HutjvOҌ&tf tf74$z O1G-I@Ό|D=X+,)Eie5=ŀ~! 0eqe ljh}S+|lu :"M/v9⓱bF,h>Gh%ƛ6|&>Q}Roъ|*Z+yf͞I"q2I*0$1$$ 3|+a0.`&kWnB 9X:]u a|<sfq, .Cݷg *) hK6 9$$!}|GN3=^%Llrcdž$!H؋'.oцH^jHQ__BsN7oߥM68V$-JQcsġcB&U]ȭ2 $Î2C?˄bɂ(đ#<)(CT}֛R=y˶Xv5̓rAu"1y!b)k&m:ٲ10s֠ީߡE׀\lݺ{Ċ 0mBL=XĽ\N¹jj,^0<x5kp\4Cix9TT$!4e_K.${"˄I$HxyڄgMND;ı0 | >bEd`΍ؽc="Ή][`uۻvέKqd;4UEp HarZ>^Rj3N,;+!۝ҡDzD,$(_)!ըPZCjV.ҲK*)K+U &J *x|#1XtzL,{YsfҷSP/'Xk֭%_g'VYcI"P{w)ڹwbrV/˰~b&T5k` UA ZL?3c<h~d h3HQS=7cypb; t _}:pNtc֍XHQ|O_qۃh8jviGC ' jǍog>FWȒ*] jhk( jUXMD^a9 F3̦Z>˖F^^ caNvt?ׇ9@ES`~2h&\a 5ňI)J._5I&ٲf#F~$LJ\bS %J(cö혽 3-?Kd˱r**b ;S&Ĵ3d BOWv`ilB 8Y 6kfvuKKs(VD? 1*( A3(F|N0 K; 6` "EG2k(cnݲ~5֑۽mނll]vpZE-ؾ%yۼn[Z**KHs/QU昙&A|,HO$ë A,=%:^7BCON'!.)@VA*jj`AgQd  2KWU֩ ԰N[.#c&LRRl\Hg~NQFK-^kW&LWs,E3d$Lа͢_qr\˗/\8G^[:TPzy% `k'"tF3rLJ4Ua!OS2"GO?|ڕO^ſ×8O0#PgU[.[4Q Oi'}a7jNn_Oq&\mmh櫃PFG j:`uT G};j0ա@cG΁J3҉""QGwRO@N~ Yf e7/k>}š5kTv…ՄiI<3s/ˈ+f JI4WފM%b Ǻ,79t0VLK?g|\d1bXru ~`"EHPO~ |lmh K +[ Hxtz{O/\Y@#e,$i31٦̠Vq7U&%s!dz 㱄{Yk7(ܯc8ǰ]۱wzۿ_#6?G8~/N'L hrː] Qk2A#7' طwNPeH @v Q _ ʹF&H@ >? d)Rq{nܒl?U[@/#F$ 0mt 9q n3ai xan#{!4?'ODAA2gJ̀&@/s)b،0QK⯩dg$ﭐu0`!)JC~adKuص誯>\9@} if͝EJ|ٛ>;ekW]3=| #eO±tRdιN|s=]N~ fvyÉtut uj4I`x( HZxlFBJ =ϣbgJ%Dء]T߹c+JEcAdу8vTGag{qd; h@G*Ebvh҉fEkWit4c$wŪe4H(-[*[cf"%CD~s)% w *,P:Ɋ| Q;0ZIo}[|}*5س}V;1Gv#"߻ Hm_O?8TYiI(ȌCAV<cGB%kjKʲcQxX*ɅZ M^,j𜀕 >Ԓ>Znr@4h Y45lzl$69GbI!""y(顷H*F~L2H5[P!fK|T՚2 ဧdV2g~_G#n&̣=oZ ?tlx#dYi-22Si*PNRQ mE4nMO+d+:[\nˏ8s =lu9u.dˀ*v>3Tee+Eo7'7H`fO]i~ۯ>y>{.*Z?wR=#t$$Y 8_}::L@r|8c[a1ކCAcnVHNnbx([࠘4>PP:P1Ri񢮵tBREmr\!**bZ~bX16!"*BDD"*$yxxCdeQdB"cHVÏb>#woz=\>ݍ0dj_DM--6E8/")5mILK"9 N'F8ҥfE(Iϝѣ(0$gL^CݣMT[rŒlSd.='=QM<'fٷ1$B1'Eng(řTA_OADRtT\[ &2xDidShlĨM֧ii W_v/Qg$%V$f(hjT}OIαdTZ 2ȄxdFǯI[s^I#(r [FhK*v53hoC-S؟H&bPnɴ:߸wlCNVM%y*DUQ&t*ŋFq_$]f4BGxP  }7;h#Lثi"k ISg$%Qdk/AO7u+n50vjϞ_~˯TLo@_} 5,،7^̯>yH^EF!U85+).@O{'ۏk޺G L[}p5tG[@|Ĺ3 #}w\iI),KF ڸ1N$$ƨ&%Iѱl8|(;}^{r RPZ< Mٴ{\z.H7Ͽy|IXcs>,Z KVQنk(X%k_wpv O Yf:Ľ/X<a92҅'O Q^ >&\EG:~r2/c]S8QGq\Ad&D(eiYuj+cU 9~+x$KPSFF?fXvF7NS8{f~v NbO0jaq7f(=z] JQ:~RZ*4znnYN {㘱8ݨh;?U 7@PYH\+F|O )|z[oQYċ%xbڀ*X<ylfϘfa5㘓\RW/E -=gcuw~F+Ǵu#>1ЂSiDW]m^ Z*_ ZU]=0 鱰.txjA;B&Qs,)oKUۯ~}4hk߼C;ǎ-2t&¶Wo!|;8@6FRML M4ap$N8v7nܦ W)a _|/,i5\ U.ڃr~F11#N?Υe."PR_n<x cG$'_$\^9LDJ\h]E!>xs|ջ˯ǟ~7"~ދЕkb$,Z!~i(XFO8oxq}̛O?"7o'dN%0rJڣ}8FyG}#?rt>b(1d}؁6C;{d#o {܆Jԙ50&S;BKy!ϷhqFlegܰL vX>⫩6"EGf0.oqQ8F/ǤD-j)RJ/5$[yd 47|N [<k$ !Y@ [201ܞہw=LFA\{S&at9s0adڃt&X tQ*Ӑ>NbʎP`UY."8y:䳽nu&4׷ui:<Ӡ!7.pρ['xt.=5ӹ~-&ٙ^[o>z 'xx^줱p"NP}$6#!<և$$Q(-.j"LC؍nvlpqX9xz%, G:\6@KXe aI 3>7EmUmvRH]8vl;LW[&FЉ&GsGH#"WpTVUWnョPoU{窠G29U d#';Uz5ܹ؃|d&!"&;E+m2޲6-Ƶ4رy%J]PmC#3$+yܷ?l7Q oܺ.+wzFdbUeشm2z (" #fR礢\ Pג`sɃ* ԔdX+s@ !`+C M 4+yiDtV7Pq\;Պ'pF\=ތz}Q@qfU>YCfԱ- Dnۯ UBcqћ8&ԒI"$YjE%ȑ<Yv >hq 6de"&>/v9zwnj?M[7@I9B0]@<3DzV\L\>?ր ~yνxoɁ& tס/wW}gpd .py/wpϏ&3>v4\˽~/SO߹WNן=K]H;P4ܱb^w/>+'mq pj/NRQ(޸N,uwç?ΫdҊBnoCsK+zz{10D臧΍@orPI`=_Chxx)1)t]iDrA4?V'q:v\r!K󑔒 dǡIxxh DF)G8ȞŅ9_@ pvv*ʊQ@+k}$+?#W/tEY*y h857kIb8xp;ހMbEX|!Vőj^4 l [~aܾyqmXA')-/(3.΂Y[|4ŰhJ-gAgC_zcBN67(96miɂZ>S=v7Nw&\?݆';Hs!ݮtz ĽdiNԒ0H-*J Eya^/m-6o߆T֚rRRUoSM 04<e#\u *yR$697ԨlUkI;cyXiUv@iZ>( sYp⩙6 ଁTA"^C8 ) N7cǏfr_>Aq߈KTO_7ԀpQ+w{}Јh}|wOkgqZWfΒضu O-xt =gR#G)ǹvV`eXrj*(޺;W7/O8i PYRzO\M eVИmĻ|QҎk frʴ #€J0֛p{8'bݪPTjF]ځ='Q}e#)0S|CwGSFL yyHȈ%Gj^||3=r$ D ݵ7cz%o짏ߴ~)kW,š塪qBEƎ;c8g+_6byXCq.%|GIn~ _Fgì)E6 MMN3 bx Zxj+hӡmDRހC-ulцf wNN9ۇ+CJp<NbR_K@`rDoƳomN{雛4|Nj8| k7nR3[v@d36jG YUAiمE(*Q&_z%ݴI>#}+5w-=ۈ@.~fULv ]BL8Q-ِL5yIqZl:hOn-TΝ@polPLUǃ6bӭ-~gh屣ٌN;)pbyW+wsC C(,ؾu-Uo xFjY{94Uyؾ`|Tw!|z| r"bW;c476̹ бk\MиP@U6҈SfdTZ\UZф#Q{梊+5-Y-- dY M"$ (ן/Gk -CT OGfzJcuݧ/>~ o=rڌ\(ډc+wۅ]{7cPP:n|\ A8,K(#ic6m܈˗҇,ޝT`KQ(,Hz4%z*, lTk3a0Q:<M3"`.G|eWoƉ'z!8Fψ!^ǩ^:ޅmx|h/No7H$&hiKv46urr V-8x`VZvE+AY~ K$hh ip)~(A&dry,$!'?s;\P&h=c+,]$ 3g4`Xj%d0 _RjԔ8`DAV<Ug)(ZL8k z8>7. 0jN;]nǫ;6^ܽЄ'g+kHTRp`UwW/A\>ь!:0]4Rd}g [j7I*dPdnfV5 [ٮ:q`p-]0{a0JY"_ FԺawLvEYeګf%H!߱Y<Ys1qTnuDKf!"bqLf)XDEo>|nNVfJ)B4fn PR<t6//߼zߒ<| JlL\*D`x<ۄ2s-vlZݛ!|FCG.[ٶ]E8z` #8p`7~#ڿc vǾ][q (dd@[i~VS4&"F}ŀJE' A@Ok(CS49pU[@qQFQQm-(osaӁGe kt\/<*zN#B YI{NowP;:$8$z^/ރiTSŮ=H I=~YIO5ZbԆrT$#X(D.8i(q!bHwo^gq| Yjˑcax!Ƈa”I#ˍ/¬1k,,_qw sWneB[hXu978A7x4wU_2t7pۅ mHqS{H"xDI04_3x <w74P.|M| |E|u\;݀}8,Nٵd׿|'w㕛qd 6S{.5e< Zډ3xkS9OLF#*`0lliG[g'ϝE{wrw"[c;\)~Է1gK/j-:I2:xpz$ +Pg!.!ƌ°OabRe!BbDDG=}8/&-_GPl+bX\$$& $!G(ZO_= LdӾG~}aXz }\5^=`֍˰"l*l~D  AfJ"i$ 89e$%y%n |bky,T-2>3I+:Ftwwx#mMe;_/VZ<"XplZ*h+Nw8p㱟yp o߿>w]-8KzA[#>blA/jjlj=즨 #9%صoބ{dԃNJͰk1m 4:2Wҏ-vY쩧 aӾ#%'{tƵsx8nps2 H]P9^9{w"?#+^wnʼT&FzlNpjI`䱈}P4L?8'a qaȏ7^:7%O֙>ی'j>*>{*>~~u:DoW)fcR??}';gHeqam1}rY6MuZE<}p >3bb4nⴅh.sF}7|@MVp?܍]گxdynUh(-ƌa#_Ği ("d+hd>IJdQXe7x㸌Ŀ</>EYHHFj1b__~ G<#s0څUkbj}zb_+W!", a{o$ 1.H )1&<vHa_|LޘBb],bԙ4hu[0#mtztTS,֔¥͇WWBJA;E"}MV_7珮=rx3b_Dd$~_AK^ `6Pc#UvBP}+pb/*> Z Z86y}x>c%I <~ړ:uO<2[|ϱ }NQ?Ă,d ;-[sgܙӰd\$ąS`ƩY'?da,}8I-JX ]V$ .5Qu:qSw~_)rmwϴ66^ԇo}o(l?xx_}wNwݗT!uj};7i__7YOn;ONa93`;)y.⣧p!~ۜvUkQcO NjϠWe|Qc} 0r uZ7vbopHn..ɤO.1b*p'.&rCa~a&>x O,d(EHgKv^FrZ=_ƿ3˷_~>Bei!(>ދHblڲKWLu3s2ڿ-mߋvȱGFG}H<6 &2 nSF#ĪAq>&}"YW!|uhk1%@<7Г΂_ 6uI}C]*^z#z87\] V|>s _<7/[<vz|pYLh$,5&[[Kn00hRhKljG)jfJٹǎI 5=%>dH@R@[$0 M 3%H?s;/?'ۑN+ he1w",XpA~^:i_T8TӰ7݊6_ g@7W[oEe xh,HsaG pB8af#tqeB8OqeWҕ -JlR̘7u+auw7Bq 'qh@ߡtEi*uĩSW.@OLAQ~#Lmg;Q𣡩ΟGK I# @7u F%JBh&r`ZTB!69z 3‘6cV8 qI$g%Ykϲ(x=>o<~O]ŬAQI t(,bXIJxq0棇߼}>{mfe <*a.FiY1ҳ3AU<OƖuKn<"n%)+HE +Av& " ֱ;yG"'=^{ Z YRmyuЖAW 4U^f~Ǟ ur:Jh&A.)xsrÃFf(J;pb,;/ǗΣx9Y<0tZa#1KDa $ &6d\HflT5#9GcHxW\DcCI/Aսpշ쬐E Mۡt\N:1wUU.Chf<߾w~7"d(\ #Ǐ¸ j)UpBU+dPĄBiA&Œ^ Pެ2/Ulc!n^FnP¦: z jQsw7ϵV/.c'CVv)qρvO g8kŝstfWf<?CV/_Cw8?a^nv9[-z zk9>xr ݋۳;u4YYyH*PZa}ORND!H@X7ruр+-kRk]KGu*l0mSx˶JiYH(Xb-d<^?dǠ0=ei0WWύ<x$f(?|߾aGgE )-:b:'3IBRxA[I+h}QDtIw$cCv ?+G@^F<5$ ]^a T zE~C,Zj~K%:Mh#toIDA;SNQtB'g<59u W}Oo F4[K{/o8(<Ny<^y~BJ c'V_|+\MtE/v^ĠA/*Bt|EE#>5 YbX2;YQ)3K³K8@%HʲVoEENْ׀vԘm*U$ +_אA?C0Ǝؠq`\RLUu, ۍP[XG/ͳhm,hh&M8mSL;kN{jm5pґQSk'U_ﱲh/+kql M?[6?}7o>W/z۽ˊör|<և׉o>~o_T0%]HK@^6mu>=}V\oꂅv=A#ZY@Qi}["ʈA`1I]Ha_lYEY2l޶Ym+1 HJ&:pQM"=f<Wx[(WzI(͆ )<.=))qG)6_s˷z$Ɔ+D[_cT)9ӆjjQ]N?kY8{+}sLd됒{">OlDnF1Naߤ}-HFuQ2KFIV"駴kT@C` t-p؆3\lƍ;ۅCMpL+pc'j/Ƿw_OnW\XF^,zQm'׮2 ]~~;fF,>]Aai#t,*Rb6%GpQ]CqPMor=ZD&a_1W֬ % ҡER'miM?(?J^(ۈJM+`Ѫ*[Jt,_# v7@_I̤ppl3;;-E Z(k10BW7.T;nUvl j@Eľ 0PxN\tU׈_ ecض~L?~ӗ/Ɵ|Ãhpt}]Næ $WMY:zeOc(3=.$ ;55i=D/LZOt^Q[c]/-07ЀR8WAo ezL#LG1bݻUCW id@|jr.KER SC~SbWQ ڒ#3*J"Dcbll"|o>Ŀc+#"c53'y%cRUV@_C)X-Ceu2lbA⫷Sa'_H!ǔĮc8oi{ݏtܱiɑ0dYK.ʊɉP]Jc<G~جyEYrsO9{]U8q7#PiGg{r o] PCgSxIw4>zxoݽmE= g}o4>;}h'!!^ q G@YqQ5 YYr gH IHE ,MLY~ 9u,1ܞہwO߼_Wk Ո\n%LAI0…DE֬†-,qXkqd7E\&e=vfRY@2`Pe8vzvlaAN:Sr?MG^~,R$#eD£рqVV&yxzƠc>VYB3O $O0|xЏTFFҝzyx/_'i}Бt49]U1Z 7.<~CΨ0,c'$V>Wm&*Il"YR@ U &&"hJM5%f`8@$ Pl'PŐű>;&Ī̂'OMܺ:Be[4Z`Wkƛꌸ~ߡovB:!(vʬ&Ei9Exӳ߭ 8ǩnFڟ^.֣3`Ǧ}֫l^I% ʪ_ZEⓌH}ʑ5$eД墄d4U4VA[[m9[)|"Kv-ɪn,a(B-`ɞzCEF9N;qW(&(BTqX8Ap ^}.J,jv=0$`$DY_V\Dڥ d4B88vd?^|LԺjDcBoUXp˺ņvLv"gQI<Dw[p4"38_i0ijE!W[u`Ƶ3*/'I+1'"4/]"әK6RLhd&EZ.Ld%b0i,Qe%VuPqqG#3vly8eV 0hû$g}4S׮^WP,J2*&4i/&×IA֞AA(C{mK|{xQG4 7އB]C7 p7Q,/NxZI8.(,->owT STZ鈼~/22v`z[X 7a1OGEEdK&[ a "bHdƐ,/B >}Ls*Aé^\:]n<⸿WH ldlްĮ C'ΠbمF?[g._=zlY1=d3rd?m§ rJQ/' w̔ӹ>=w~HdS`Tj(CEQ(HE8hG50uƩJ`)Vvm!l^c:)0ZYvfĿ,7jU-4:O:ha3Or5pb?Kxc! 2 }UĜVL[n 9mjk*=R2rOqJ4%f@kqP4oQ3RK+6V3Ьxyp77_C*7yeUI?~D-19A-BJJ֮_N Rc a5"PQLX^L{I(I@ajɸ%{B91_<2 )|3,թ[/ij4}ce0c";q'H<jcqXl56<;&'\k#R[8 -,}%>|zOD'YMIՁX9ݳg30:d&@SYmk#-nއt6'"(oQh 8.\Uq6)ujt 罨F]blݱ{XHU>(I%$@aiN|6?wɧ "<9Ѓ gqd- kGwO/`oɳ<Lv;Ѧv ۆ3af(ڼZٗF~CyF+8>DȮ@a >(2b˪V+UQYFX& a*S& Uw ,pהV],G"`b'\.xWoD_'8$ѕA9өR]k/{q)랭6[ {"evQ#ķkWon;gmMArF69ZB"2}ڎ@[[{6ve lp:TQ},;RL&uR,>ǚHT,)VZ}[x+Ry9M[7`9 S3kW/Ŧ+u:aVW{PYJD#;- zk⍍LY;= 1u/9N3V"9j;J3fKeZ؝M?-(< }En/7qlW-]wo; mq&1eB88'|z}/ȠO`>ˉFS Ώ+O+ĿǬUK(Aŵ75T=2}]' 0| Ӱ¦sw^>,腷8!bd$^˖R^R%@ ~XjH4$7.;_~%?~^ ~9Y)Ϣ2 W'0Uk:I<ތu'o>W,ꕶ:u~Neg$=x [9$4{mP+nTRi']pZrH aLFUE6rsbQZB KhA%6<-J+`ʋ<Lx`,Bv^Q SͱTNN+߸6wK}xr]˃:؆6 -^;KE-4BS[t6]|~:4 hr DG!#=Ce $t:iE Y </Mg!k0d<?n;XWo_ŧ+}bHJkh4&c2]ߺ`LN^S: fD"=Jrqē$("6 e%i(ȋG9 E=mV0fSۚ;I$(2<9J1ak1RZq/Am`Gznt =2c#(#<I߾_sbJlErxC/Y}"C"s 9HJ&$#,܆^>sVgiU3RDPj$ |6,GY(Z)|HHE(JC$8D0(x*% u6OS] <Wݍ)2iη /48ifwf}h5gF'G б}[T%҅g8?؈:p.:RnJ)Y4Gpn ;A 6SLL($^n7V¬+%1$ CSТޥC}jϹ):Hkv.&TsE<h%1QHU:674@cqGƝSx^I-VO㳚BؿRZJ`*nE/_oCJv ¢qNΤH-,O`@|d,QҐmlVN"kT[/I%nwCvq*Ҡ9<__~^}xA~ OH0 !Ӄ YN()YPu #;5?)gO4:*KAq^$s#G,GOCrũ*TVlCOGl`դWNiСS>I?.IG7:V/:}&R8qb';ӗo_ /}*+H!umDC~g5I"^w /_+͏`O >k=Ԩp}[JpmlXVb}d7B"(4RIfAُR3iGɧe@=6 P l;e$'ǩ&6 6>ZmE AД~_/[$[N]L'nCQAPZElGN~"G{Y5(+A9(NG=vPU. nܰfQlN=;K7p9ܸs g/%LQUkFd\":{w`ApdJ Кک 8y;jeK:Mi _#:G21ϩE7`hqխCmz|"YhW>Sy7.tܹ*.vhVSNwS74 zºf F zRZ.v S.נ\oDlFbgZ^bAQ)\|פ2S2r`X0`Y"Kӂj䔕#d䧰߾y[||}ŅXf1c_a6l]OSliiEq^Nv ?=ىH:Ԙ^AkB.7Ɂ\ W7 5q|ՠ/ʿ7olhV-}OxҋǷ{T&B]F{ʭ~ywo Ѣzڊt8ߎ|6[W޵>w,O mP{gKM.˧z%.EoГywP:1M8}·0_Vr~D1VZb_c`6uPPIac͊HںEfe+۶mAj*fb,RSxߓsS(ʒG#ݗ],ı^</)FYi& sc7wbϟU⻲ DGEBCOa'N kRΞa϶xU\zo_ g`uav*@ -T9^VV[<>^zvRZ=}FJ_w+YE =nz ~<lU8[~ڄG#o GM˧qq\4|G6x%Gܭ|,;e'@7{oG",f_ Q:%/%eHF}>?1"-glj:!G ȹS5Or~e77^BnGfF֮[)Fj^- +@:_T6rXGJC'( }]KBnQ:85XO~6&"d\o!ooA_C]'xz}r\9؄W:[oxLqAMY!jJ`)V7/_&kk6Ռ8D[7F 5o;Gy/ /d&ϋ B<@BQ҈7nuA_ߏjW7>qtBgPVTPd :TZ\a_IJ߱6è/i2,MΟg<_ dۯωk9(+L뱢<?(y)F 'OhtXQr=*TrznT[X͎ZVoZ'!8x$ށݛWq UcG{u0 ¡cv NO5}fb]/F'uX w{<cJx쥨~ wҶw_{ziڈsC].- LS3rto 6}ԖZqR^iXM[g!}~~8vW/[^Yc;5щqCAq~IdY K /Ax^$ ''GdفV (=_ ?s;/^Go^*f6a~:=ۀ{aˎm* 6-=٩"U4 X䦐 ag%#=# tU4$uv 2UWNPG6!g>v^#t:qҠGF/EAiqWNH[f#MxB_=w_F|oTG)ծVIv[ϪJI\ZBBc13~}[*t8L$fIAѯ屆Aב,m>e? k>Xirаԑ("sd+ eXj{0`7@l>+p&Ag-!9}5y7_ޠHkF :Mfʰ"oqƲ(E)JY5EQ X_[v7,ò9Xh6"?tun|F^!RSDcDG#jKT0G)QM150J(de1\j 8K!3MmPlC<od4l)l$ t!8?ЀRfܹ<WO'Tf3Q]>lR "%&UE,H@DvȐr=~6"|4TMUH MMǵv7j(6˴,*S^A7Il(Ҡ!؁W/Oz/~~O vހ9-QW^ؽwy8t02ss":ZsQYHt{hCJ)*bpI,MD&uX yVe%qԪ h"[괸|.w b\Dsn\;݈ncU:\܊WqrCAk5嫧޻78ih9>z;}l~4@!!rF>|yyxOnc,~ ZdO 0dVjH= $K%X ԸQikL١vDvQG\6hUF<]wdޏXb?:\F`AlX+w/_RH U0 hx/`X>_5m8ׄt4g-ǟ.VMq^G։K'{IkbT\8faszl,V4H/(EBz6Rsh;"BqVQY Q5eviqLHX5 *L>@% D8):x<}^ I-8K5B^">ܹهW#7s 8e6ѡ2|it:A3qogS4HvMRImTTCLb*p*iIYH#y(כi?^4_ ^j.kjU986/\&%Idd"d䧰/Ox{:G}- ڵ3LŴSxE(£RÖq!dg#-Ez:X+xtS,NjTK\߱זF恶,MK?ɞ[3=E,?y$ǟd {\ISCU RvQ)n\f[*߼>o"ɧHl)ʍBRn>w_kwnmAld~ۈI7B%8uϡ`?7kAwq]*t-jٯ: ~mhU~_֠H(J;ZƴHx8vܡ >|PeDGD"2:QO1 ~<⢡.7?_KrhT:eFcť(/!Z mş~zWhFY~6JK/Q3hH&[=\8ލfNg%s'a} mhmGqy*Z"[HH@ qIn2 TRJ M̆2TUNBYMaIa(UA0l hp2'ԫ](npL'`=Ǥ &Mq +:G.WpE5kQe(<6$[@`r>+EC&x 9ayďI3CW $5-$ıbv6` A t7}z-x!@  @dy.Q hS ʵO߼__}h>kZQ{l۲C~Q1PDXBR(dDv<; ;]HP MES%n̩xx䚒h.B[EQpl'^~{|7|(֊ E"O>P<S-謳ի|MJ?Nvd`=Zn;Uu^/KjX򟜼l8(ЌFlJS'd@/jQi 66Ti\f+65wM s߿g@=E"Olj E<QY#طTko/[ƙAFDNJF_QT^_7=G/9~5QY)h2t5RMڀ:)T `/FX4˗Ot'0ہF?KMH_Xi@JNo.}#LjxT}")(@~I6j8%gfdl/ǯDuRnK]z,UhkРvONzܴZ kiK~l7N>U=|}x@(En~ 5qR+< ZC<k;<^⶛|09;xlV#~?6:iEF `$)U}r{iLW!==>q =]|y(1ܞہww__zt7wҐzPÛ}f̦`C >|Žp)3.#ee(.HQR)XRf+G5M7C$:UX]~)D*FG/q֙F8UOQ3TgSSB$z=54H$+pt;%|O W?I!%$-gH$#:Gg5K Ultf)d$&44|g`f53ܢ dUifgĎGXjA 4"zEeLICTVKSQ[G;|C$ l1%Y1Dz (%bcY*o>o?DҬ 2xo'"?6{Ëxt{HjBVO2^4yR`ӐP@*eR\>m.I~pN50z^%Z#NJD ,ˤS4f8D<禪\V=ul,Fm8vllF"ނs P<r"]; Wn)scWN`Z:x(-Uv < 1ƦҒt+TNA@q AHdlh.h"2d" i9 x~xsrlغ Sg<U"Uj32R)Nc=JL@~YRQZVNaCVz4Rؑ(MCG QG!I墷Efim$|,d. ]E$A'.B&1h3:QGqipB*???\LA_ kM6;?~6Ds] $lĥSq\^~6 m)[^񢁍<p;)dkξA R4ȚsKf_7[;,2D`r$Wc7|ji'NTJA,qgO"ؾe9u,Ĵsu69zJ0>1Nm$WZ:_|*~CF"JϱRA[I 5<4lgC5VLąCEi>L&#:iВ:fb͈ Yա3ft,#qZqd/[?lv+ш>b9Mic1j'd|dg& 9( ' MKDUyZ~lP6tZStiou` [ߌs[Kofa! '`)+Cxx$n][CyNKG®za*H1` $ gD䒬15"L`cîIAD=!%?CisrKߑU5zSGbO"v4.'w祥<9O5pi96`ʬ4c2-E=o7} \I9(-B1#%v91OhonOE5I^#cTe,=B]- qwlP7q/EPIOjwO33cWl=`dp;-o0%5j\\:^?~:?ǿ=WO񘿷"`pg':ysZ?*JQq^ h= 0),'A?ޓQMh f eɣ؀vV} e+7yUQEaώ T(nFڳ!X%J1q$ ij9[Bj(*DoUK [zx} ('գ>`/DGW&n_<>GLhaQ. V ;UR<X\- YXaTݍk1׊͙SF TkUAb R3 ShcRTq ))@9fZB$JR [(S "jqInW <VaipwaDO#_c^lKxpm/p:8>A0v6N ORlGޠv %PKL=z+F)PNNY&$(J p=lYyeiCu&x_xЋћn9Oa뷯?7ι#HPO:؟Q ܂{w(~YBNyY uvF 9}Qdd%ì:n{.:slH0PZdddvY0Aו n@Zk"2#CkuZppudFj]Y U(AIPn{ggg~s֪͸?6>{#{Ws+ƣK}?V𪤵?Ǜ&՚"GM8u3q8nxvs Ki0A EOxD(V3f<9+l17+O&ug1!@_=O$qX]Xm.&yVI@y"7$_M2K݀%NH\"^kŵs)u\PM_W_U}F4moWP? 'ƓQ$}V4=>}}HHGNcai{??ģi,ѧFf(WA,^[<D,a4}`DNũ{pV47;PpƊڑ6VkT3#.S`(vҮ!qc~B$ 0`>fX2E1C'ee=b,dyϟOWTɑLՐwN?cځ}|x8viCi 'b 5kn\_Erdz{GѵĎ`2 nҖg)) Ƣ=Ц wwLN0$&C>bGca2ӣGKL<W 'n99p܉}v҅е`NpN4yV\$tsC8wOٝaH3iz6E1;"lyIgnZ hB8 mX22䣗2Ic$n]gF3!좒L>9ٷI?wTG; i~AB!oRG} D(x)y  b+㎆FxIfI*ԽH&ExSc4B@$BK!ΛJ4,iXqI}yCUصAhH0[t6^*}4dez W TY.Qf%[OT;K>3ڥHq jdƨխ@sZ  O믃/)]餒G#BGIc{qࡹO֦HHZS\4H/> 'BrkCkG'Hx# 6vX]z=6yobW&Qݒc?I&,Fn Ee12Z-z'TýIk78ޥxuE,O$4O[ MйKշ./?罕%D_ḢFT_vH{5L*"%(&$Kew5)BK$)7I\@$ А$y=.&:ϟ?:ß~~O[ sϨ];i ʑw*JgAiu4.@/z:hHx^U惧txVW nb G }z=afȃDPI2ZZZUy ^M=Lm%诿 )F5>' o?S5O]L Fy5գ:!ß|~6¶fdz|-_Gy_~ YS:~[kᅫoܺ Ix:?N5sKkԁ7} / <d g %I@HQKٷG20 aX<ћ QC։a o0J250ޕ8s'OƉ'pI8ykj1m?w&8,;gp.{pAq3vځ N"rTQfrˈh4D9WQgluY:=i98yx n T\ ]>0*3ԓ)9հY~t`ɅXGfC;v >Iɸ)G*8m7tѪ6mm}p5p`&K3F 9|H 0GSqkHjo>W%Àz5w'+#qϊS"'#y~UD%H2Ip_҉8{ u}VA.)9zD󱤰hVivO %XU$M3$2Uvv{?'ŏ?2{\ tPR< x JaxnQkG*܏Lɋ.~*[O^G#$7F1nMGh9 S"nXuՒ|ZE`,EWUWdlj! 4N֡KSxa{3;y[ʗ୧xD /z{K#[uڲ* DIfx0HH/Dx^ET{Y12 ؒډԡ 9eZ]#gmO"+O"C(:+8s!GOʼns2=.'QPO_ByؾGȑ=8@[a<߈|H܈UvxZ".bAڰI WR3 05(f&q8 ;7}eWkx=<s $3-toAmc*Shgl$ ] xUjOlf耾~Fpj90> /_罟8c7߽F 2 >M|c|MS?"'i#*.z`_(H$/}*-Z\,sWP^LM= SIfz;4$1fs<C I(xlj`v,?O?o}Wغg/v>'QΛT gO624vj$ Ble0oG_o-[o.x|:Au`.=>X` F}Z.-_O[-mA_mRƣM03`>2x*Y5WqX?_g!Jgw||6>Mxrk%X@tm?;_w?xx,OBK"]~LMΩ@ Y=9Mo <;Ħo"H\Y7Z샨7GfQрg3bEpz1 qqK8B[}!W8޳f?GOëcjrPuמ]8xۍWɓذu'؁s[".Ie5QLfǐa?+ Gp?w %_g0>8[&^ZC?U֣Km:qI&]=7鄕X[9ͭ뮀j65K04_EH`\X a[7*֬d»𣯽oц}wi11[\ɛNK;5wbqg:yP-ݸx99g0p2"qwAHߠ?P"٬G_|;}uxr嵋J+xYğU>/`\;p1RR:4t@'B{fYk[T3:˂@$k>M0Ư &~Nq{.)tԈDL",ٸ2X"b"b@o4%i<Ѵ[^*Rt4W\'1~gōŌgdv ][_yuwAi,O`$_+"Vn`y&"R3p'lUWk`i%q$leNLqhWEԎNG8!iAQu=.ܕ|]B\&U/?o]wo}Xr;LMƭԠ5m4dC=~+(,y\$+id[F3H f43[ØN`އR:9pI5ZYE<-zarL/QuUjӾia"0!H’yu Y{ $&ļz xJ=a ,f'3e#흕)^ᄎFXK8ݚ<$ O )FjǁN_= q:[QԀFb+A43FC1Gp\PGM 6HPf!Ʌ?1/vwÒᒥ,~sJ/ہ??ĻV62m˧}&ڹϜ@5uhhUYCsVz]3![ ><wpΓI~D[s!ܘceƒ; tC.,4]#^?-|Ɋ/JIy{k)s0hZ)+t0=u5c hO~9;j'3aq*[ i/ݛUX31<}zJ%`nIjm.?z褤1ޗ ~ &IS^p <q" ͪSt Uh4fEQ^]ah(G=}(-k._@MUډ7o~;OInGG:]m3[XX\F$C" 'HM=MiG1xsHVGi3gwQSqc|@ 'zxױ0KtԭA^q.$Wk[K/IAی[DȦ_pGPWgp{as8 X'HGc^d& ƸdZ㗦I5k5&V xrʛO&0,4I2 gʌ`1YyY\|Lgz,g;Ayk꼻 V^]$I=^<G?߃Py]RI ," ZA Nhk06wFӏ>u ]$n9'Ч/mDKCz4?*Pm_#3~1-IxzsSM8Y&g#QF-XH:QC7oŗI`ufVeĪdP_C6mmxH/CUo~m(F2>]`yٰa>,z!Rx\F"*@nh]އ!`~.: {t< S``Z3#6 Wt]n$enx6>ed Φ*f,,aqiYW@e >O"vJKPPQ |c~٧tO gZm&ʡ Wipu`kE2#ӑ?at)Qqܻ-{n7P^|'/~ o>{y< ɕ2ҭGna%p.^Ec3uUo6^VM;"QBn% cgF0XZMJ1r`J6 BVĨæfl,L&L k9rm=Y|Ve$z%|>JR"yQ{ьd ?K`xN#y ȊHl Hy^oGcEw:>78qPP/KKJ$ &Hi /!F{5K:20# '$~U$>OI -&v7lێ}hn)ASC5ݰ-h@w]rhPɶX[%^Gby hi* ZhsIDAT 6}{&F\{\,>x}:>x ߜ ¸%:L֏e0܆v+fm̚6t2W?Wuy4)>^I{(;*Ix }{{( IUI8; /u:17zXkvb{S|8t1X- htaI !0ue'+m,FWO+c6<{\[@/E﷣*q!.墌X`vj ;? bi֨%sE^?L[FPvC ``+Oy*˸>>\?mBEu.{gxW-IGO % -@# G;9>h5>3\n!KMZ`q\_x3'3bi逇0j邷SaF=xJ\ Wqwy 'G<gphU%2"[SȺT Fr&W'Cg4Aɤ-CFix-z?@;YDvZCāoNLPލACѯXE,&E~Yy=Y}||M\_< Ǯ۱! hڊPQ[&4uj19U]j͍t*"A./w*TnOὧsxHT4I ؀wqk. :|)Hf@x"?26شH Pl;t]uiBGK%h8;p^W/~5η)շ`zT#Xa<C#4ƲXեy1:l4%HĈJ9^)/ E"?[T/FC\A1gF <c Q!X&o%k@ai qHQ-ZQ/cTZk;}Mǿ]񝯾J㜀?"pwak1<Rz<?!HMԛJF4Flx|Z UoLMP,#Gv]-#P)+ A@#t '`pp^녌4i tiw `C.@zM[{AknD6n>M|ڴ͘LH8(Ӹs}cq} 7Vr1?M2G1;OOb @z DH\!9zʲ4œd]uY]J4,*B'(}KpBd` Hdֲ$J0Dk~<o >wy ׬wڌ}{](/CgSW/&;; Ёdʁp..H>gwS'p5q7f$_> qH1qo.eEM2bd CHPLK_{%sawªo\4UtPuUuP]y9|ۇ#]Oọ{7F: Ԉ\t:! Ц=94;D򻀥՝<AfdbiM_K0;>qTe.`g%M/vO9.+@VMφU/لʒ|h;xm3Ȍ ӇRx.F.t~Ti|6:?y׿3/{wp6BC$oǿ#)ʤKobfv8avq 0,$>=@cȻ| w]_@Y%ܽlJuFjP:K(DJ;/[PRx F)a^eh:`oRYFڎZF7¥ݍȸ4]5:58yumjN`A !/Y,ܾ9wy9Ŵ0iI= eb6;sR ZDz`Z52Aޢj7,W(.,>(  1'G%vwH5rIY>k̴+Y7O"yIMݲs3ێKW.%Eԭ-,^? n3fF0c'S.l$~ߚ{&zs,:y}xěCn_Jc,nCީЀGX`;si-GSU=$PT&4䣪"-(CrS~~  kRt}oR(uF_Br8`Y޿9>e;U/"b% E&322s.ܤ(U L%x36 7/!o4-Y;5K0I۞%3tA׆,iVRP idx9r]Kye~ko']koĿ'7R-PAo<_/)hn̯bjr#YL%1G P>x1Q)a3"A>㞝^Fe"AnT [ $~<V%5uFt] ?26C @9 H;-h-@W}) uF=cWO<=upk X⇨ܞ"RQQxpw7'qkeZ{obqI&L0?)0b4K;><\>s?`9)3ȒDL+RقJI_iC\2QwQU$c32r[OL8'ՏSaw_>;2܂0ZQ\JH-mw Vqa4##A2P6,M/w)<^4#ѵmHH# 90FxisN*1ɦ=(ECU8lNwۚKQVD/CS]!j+\WPHݟ?? %Leф1Qj7w`a*27G?q7Hߎg! xfGA||$y5o#0uޱ؈$vNr;Ǚoh5`JEච6M >%e!pR}~BC#Oo7}jlըR|}?GycqX|?O~c<Lc\g\c>pz$IpPA? _6O %jt8r.=/c/"Y18R4ǒD?҈Ʋ -2n׮XCm14BYkO ik]* Ǝr:0A쮇>M2^RR'tt\<+ԣtou+x|:^}Mb.9QxCqd6@N' d\Ⱥ͋'aTiDɌ`xlw5(mYA wl6?Fqr yT"h#&w3j/vϿ:XGj@=f6޲k6?W@]2Nu*WRE,:8lH >inoǓjFܜ֬DX BF&J]c[t QFPU|ϫkJqZ.=艣8q][qqd"5C'O>>O0w-m4NW? dGvYz3iB ATڽ@!RS.3w.&毫d)?#KvRUAC"ܟ>8z4 (ɼdDNAfGk@mk]TUר-m}ݟ?'jF:t >c$}ȹVti,]-$#. hrVf+>HAb =8rt7jk1:B6:IGH ,s0:Ct-IBI46mMێnsI?b˨|eygPq*EciZ*AC9q7aP߂ n]Z~gW5}M8poeOoO*&#afy:щtAUV pEHe_ T 4~҇BȂ DC%;U3)0x@+ώ`aѐ pB4qx>ҫ;\7'U :paܽ wBv:aAaA>:tkՠǨ4d6,ex@&~!~[O͇C nL FRVtW QZ҂\PSu ͍5hj )&)=ݻb۶o޳¿7صu+~_+.w o>^U ')} RjnܼAK(YF3M)t2ON,56{_("_G!.} ƖT)]ʾ$.хY8%x9 Ջ3M8#3n,vz hnFEM=*kq1 r.]6<-?~}|*I$ hhbD;•Rls']Bs[;ICv=jP&F o$`t`8;\±;q2ׯ/(5<2N9Cy'6Z1hl4w֣U} zzU#-j* Xm !T*ۅ G!A?rg4_iMOO=,2!GׁJ4vc4G֊7^kK 9aL a0p7o^B"ж *2@Jbtr^Q qI Agp`;CpTg"dHB}\i'FJP>+ϟed|~_ cصo;܈\x}vIhߩk$Fi7f 3"3 i X&zM^÷>Zޙ';\ ~օV#T_]ƚk<K"* h7Ss/^^sfՐ7{o4]|o~Ooz3c1>1@'=zt?=D\} 0|V?1*f1F1>{]a,"2B } 82 q*X $A(v~+mq5M"=%BoIPm9{ TyX<Bݯ(Cq@÷wo@o$F(ǵJH6I5<s/9cΣ6v}o'>A!-eF 7-Bt.N,@$ky8~tu;j3K|8MP<Msi=zJg5ȞjXmHMV[hy$PK'ܡݸrZt?OAEghj tMmC-uQJ\02 a[wI9Z6 i2Zl7I"RCHЇ QC8e@| KJi(r"hvoLeHIN k ,^!AuYfU/FCTsX"Յzx=y^S9c5ZqK+jkFNScwnH# ?N7,o㵻u<\TiF:HcX0Kf认_J<KuW . *x +QP"\vVq$~Ƕ-8{o )'Qc}} Ng'$6Ă={]$XHICݿz2{Ὂ.Y!X|,<beIf護1<' I G'3u<ހg|Ee0ԲLsA3#ӰFPь$=9>p<6Z455uut".__+DkC3}_UPJψnZױ` .K;ًoj٠x?I*X~PAa5.<E^rػo q"BH $z0И| ݧ=%7[ %h^K\ 9P{}V\<gi¼ GP_t :l)7W+sub2dě7/֦1`vf8ib!\u}Dq\x:uS00V%gGרHMD@6w LV.7-&%G <1|z 0ތ L"sd Y'f3F'JGEX:u5ɻǏDѕ0kjQRS:# FIRgwHT"yfo7½WLeH`~C#í$fet}@:$'V<Z6e#TRz:PLp(O?svlAXM?/~?Ww՘qwp`< AK4`O< ͢twLJxl|)Rc["rD$ 3>Kd ( \F.*q£0=sdFc P.h;h$$]}Tu e\z%jb(W޼Osw/ae2mO H.83gN"72Tx}4zKPᶮ D!H5Uo'#8H4J@p|scj,I#5V;,HP B~tR*k ^T m-}O~+ ~=F\p\&9ܳ4WsEbli##)FA#|nغ*4#F޸7k H&XgF1=>a([0rupׅ QPK>?0P;}z FM,N"2`}t >KGNlH1::@$I(C(U$3 PIXk8vڃ={IwO!{^^ZWK} ACԋ Iw"%)L.'_}/9 '.%p5zf!5i<;o_'w0==BgC,槃ϿA=1@g i@ZjTUsxK_< ǿS_ ï>ō<9W&N)n mK: Nf hzP?I(YNBKha f#J-U~``$N@8Fo:?7%9kvDৃhjD:R~#M(| |W'#8w v:wbCxeUGim3Llv,f!DÁ1hO]FI 2#ƙbmqu~ZrDay-¼fQEE^ K+ITKP[[]M$vM= :³(r EOi^> z$zp)ut'T2Dm46=޾yH07;<{uxwd!@VjE_$ >H6z9ҺM,#ϹhGKM=:]zAǔj( R廆gN$DrfDgRAolZKzJQ7U5~ 2q3LZ\ܼK*Ⱦu6ڽ&eeh%k_Op; xI%pxH`y[߸ޚob&kĭ $p_z,)]C'5Ӈ17=֤'`tY %hvMժ)f xE*m/3O>w?zJ1GkS>dJ{4Q[HHo3ȎRe I>OGGGM}csh@Z ҹcsǕ0yA}N K>MxNّ AyL d,jms *q8-yVQZh&9/gWrU8y4:]a灃DPP׎n%uM9)S.7R%H?4U~ 0 Y7)ٳ BAA.X}UFy7R\P|4:[^ nhȥη`\MیK(<yQ{uep"lG؉)/gxaHoLs!nD؂nq]XYZ$VS}ѱe9$`ICKF|xlW(tZKh1*HXR_J$P =$C\N~Ē; B$ 2%L(H0SMΞ b3 ^VQgN쥣8@'cҷm.~w"u~vޤe'E2폫,$hf }uܟIb}m"'G(Xl{pioNY}4ɠݴGor /+S'ZPTztc_eb[? ~?C|O;[b#АZb &f ijc< or$8 a Z­;\@BOd Chow%CgFEh_l$m>4 < ]oiBeMΝQe_@<ȪE?Qfn~vX6=Ĺ Gb]8r4lߏk(ʛ;aw:eڠpP8ualj K#ci%2cpx9v7VoL+$137͗yN' R 6\V+ 9 hmFԡTCϧ(? aC҅kVN<Jt &qc"k;1!m|oޠo}a۷=͛7+x;[M⺋@rm7B+dT)Kk}U}zz!JQFPK˘EdľfJr6byX58A̟L2;F57zno>ZQ LJtgs`'I}N}=;p$ $xP.̉ AtW{),$`Yf'qk&dwQQy4[%*QS9'qQ>zHe >zNGqQյȱtGq kF~z|UWΩ9Qiާ4n\*/$8HJ+6{Ie7@z鄿r&c6 Y0GsLָK`yߗYܩIaIٸڙݼN5 pFca^' 3**PYUF MT2 ^*>xrO15`38t2tR@vh NV5KZ"]줫KJn޵+8phޅX(40$̓#$ q,E%h+r'ɨ,0@h00"lm*rTq %h.Ёx>tʇ#t`i?UPo &L\$#x x%Z7<F`ci\' 2՛@eȚV@:ZxTe>^' B09}nXl~Z2 T!)!).Y׳Tڦ#8- H$K]"!,Rv%KAK>bto<^0,v IgNㇰwf9HЁ6YT(θXFL2)\>::Tr?{?_ホ~%TNbm1zcD{sxe+xqF x+/uY/xyKt~۱>9$99'{_{ v OoNꔉ:n!QN@b' {4ZA^ϤX?;D=I2,$pnCDx%;ȕN10גINa.#uHU Iӱ|>8!Iьa Sb4ʪOګs׿ /GϜWFWJ_4cabnI_ډJ]syF0x:*ʚaaf,$@fAnfW d_N-;r.!hL-8E} OLR70L+vp=dV|΂S<Fѵ鬅ϩ@k_ 1_DsU4Q#9Zq3ưӀ` +; Ceso=^ݛ R$1hBevOMƭ{9i*G %r-T! Q꽔#Qnh4v/Y O P=MH8(%p *sy]vrX /}y.YfOXgE g_ıǰw6ۻm$)'OA]G?Rwݏ# @HD c ?;ߓQv+秱8!+.e+98F.U7S7nܠ֋/W6M7`<n|GK/bÆsv?tŋg|vodm I<.xmD}Fn1"@ `s)(K/dN=\=By &KMEp\ҷH Nl eHAٍ^DdtszxC-Y~=uCcY((u*OoFIe*E+†8r ߮xxI!"F_<r\t".]ōhֻ1~ oz>ߢFNN<C㪡[Lu!3sLRso.عY=0w԰Q4y vI\/IK[%14&/)/Z+DZb']F}3Fܑv->hM4>ep<lūק۸LKBA=Jeu0I{St)>BsH<r>*dx^,ߣSOEX}뙹zzluK2 ,O jFW }2ib I<ql,>fovG&e<|8b~."ؽ{#vu#G9FrddrQȰarl=z <cwÛz0g+ j/sqnl۹ lozl}_z҆/ᅗh^6nۀ6c{8zvm݂玡 Gԁ,@RA/.؜ЙxNC^b1ʨNJSY"Ӱa?m'[ƍ; .w #|} q*EpюG5*\y L-R'ZR1iT7 hȽZT#76nچ^|O報 P_4mGo8n$b}Gȝg9 -:^G߰hqade\"O#ģs ) m"Nޏ`bzX3,92|0k9Uֺ}(/j@cB߀kX`:h⹴V塦<ʋΩu2W&bdz b"`(y@¥GA\s[ey0k/!aڣt*K[&O!Ƌ?m*u %S0|xDЩAog@ 8Ƴs^&=KAp PݏdF׏@ h#K1 }0x<ہ?`Y[x\+/ā{p.\t7dMD#䚂.4c$%*8tXB1)I[15"`lB 8[މ{wa;$ ;xܸs'6ߏoڂ |Nyس'oP,{7V `n2a,N\I`gzjS$j$Jb\5(rDÙS  :ʥ,R6,fӁr30)KԤ~ ;veMCiD1@B.єOvmzL64\5;{OǞI (1|mZx d.5]]Q:/:ht@k Lmih4xIj- ITL4(5i!Ҫr?GEy:@zHx֛ }0 nʡɉVӋ|sdk@Ls3<6tD=9'o]qN=CՋt79$.t9Ch*AXSE9H̪VU31$}d<{@'%"#p3ɳK)(> AJ3e;퉏L䋩{%$2;,bZHEzX(ʚ|<Xm$ j4#_ cb~yF065^2JKgFػWsL`mkT I®@^WB8~K)k#ͅps!bt] ;m6`?oVͻa3yN>q#zM긝a#u~Mxy&yݡ'wo['UK Ll:70:OOt$&`4BcHT!;M+cSULO"H$ YFl4NjbEFII#XLFyU(:arftYqeÑ q)u\]T`غ0~K/c%>M|oӯ}_~>b>;Z׶`76U:th>:"aa4\JB\2I2 :^ZY#Խ}3@jDʮy}yM"Hri<o'Y8rpJ=aa4H mksdN݂}/|װ Mk;PvRr8S epi̸6[adIxl`  ҬݻG4 Jgfd!#`R.z+efReI)=4@:@0DDj,zTr|dIH; CՑ'F{~[x-LM/,b}L.a#ـkD$$x6vS%Ps| <a8]6ͯd~1<?Me$}? z ShګжW{ؼ-?oݶ۷nۢoq˖I,uf .7nHb_xE~fno7ߨo᷿>Vw'12[,'qCy KEiBh7(A!2dS#U{K+YV}Kb6P LRwWa MPxB>z:[ٌaS_I^0uEReEyC3:-7^x 'H?͏]>&ƛYۏƖ^WfMEymmեdZL6+u /#_&mE16H@+攏,P;g1:50} 9ЧQUɕsu.pIF ӥLF c*9oF$`&N_x(؂7a/`;7:[kLPs ~7(pJ}Zzg w׮#J⛦FGDaw< q)YP iC~꥗H2&eɦKQ=b< *h2&5R :.z,Kv|!:wzW6|?JAv7:$H?OկN,eL.a< KoTGF0 "Abc%n c6N·J[Ч%&aY\dPcĬhAWOrw$Wah!]|`ۦ{Fݷ]lZm`Ӗ xeKذQh5~N&xlގ_ڄ8g zZJ?o?0M7w?yF rֽE\[oUz,¦ M}dr1uVo=VcS%xR%FoM(XJ#S70'}$N<^щZۛN"οI#31A{Ov* %ɱdVMjy v҆ng0E?~o|e|Gw5Wׁڦ:b|+@އ l.bo3|>5`w~V{Ar4zvsf) <\y8pe fficahF04>~} 4PX# ;aj,GDۆʜ#8e_ [7;>"6P._܌Ϳopalq`ˋ(pFH$ܸh xdI@,c>BUKL@CfB/p%ob <X$7Tn~+'F % c:1QXCiG&{:ʀgp#* !}~5<W xSC@uj\tN eӰE'~m1SX$ual0w$2 =/K->WI߸ʘY+  Φb=$aNl!`شg'* c;6+4+B$HalI,dV\bqT a2 }DqvBIᎦ5-C2l 8s"M <р0Hg|zwR+k0vN"KIv#ǣCvk})h._B1Ғ$}"4IU426 4 wHW4µ"\-B䕔;4#$(ټRkPҏk.4x`q&YXpoIV3ʁ6ɴ0,tn -AFTNU |,E3;`3iatXUN$$5tTU ?m8Ho8w;.p{=ZsϫT QuQ4G ak+dߝʢX뭚r#t.[bNx " XU&$:EdQvLoFk4Zi,}$7c ~څl e'QR% ,W]v~<d‚p؆bi/˨(9MP FsyKÌ<W2t?nlgG0>`ܐ1#ZLvDjܷm߀]{[ oیlٵC$8<l $ޖ]|8|MUo)Yq*qI5UEzo  3*@e) A":%1\_%,pJ+iLw_#aVIHq 1Ʌ#nTEwݎ:QtۂjGXv̆~1.H XfD5&[RjNԶip+P\^ {C'g[Q]Y3'ѳ8|,N]ߩ6x^m A]GhihPHd&2t b` eI46(=8ʚR$ ^ӥزӗ,'8Qª|t40p!F[ho@_S) 5"h)3qu2t =Qw3Z] _B9W\Tv !ʟԆg񕷟 IO*u(IMiЮ߾`N>FKIV A@v}'Pe`J K6A^vOH!b."^~d*I  փ3^9YͲĊeIk!B*UqH0At?t~'ZPT)%\P(*Ay)h:+q!I5a&,tPx5)^e"$O[~qgS&e6DѤ;6o[H 6y$۱]7n/-[l{ $ It8s)v5d"vTGSU?*<yW<T`ZI"^cMuH7xaz+/Ӑ=%XjRjRSOH)*z.mZO]v^_K\ $XXYTYN1E9"_IP  z[\ZTVE~ڱFTԖC$rJe-.WԨlQG;Hd'Iy)#Yn^/m~?<5V=w ǎVVPVA=m&D0ymyykx'K;8ƈvi %t ZTB&6t@Vsw#i9+)?up;؀[_m/Ȯ-rcZiO.^<jځSZIJ:dm_{u\O IH1m[#OR%,0EGBnJ%F|_tK$F7md\2;J)}JxVvbH"YٜȪcbTz' }Viy?0L&b\rErQk)ՆZ~HUߟ'Lo#.!#^]iL`z5ܞ7&pg<S=Q{'n۫pvvپYMa" /gmoڀ$̿el]µڇM[i6l߶6mƙQY id 71砵Ws9<yh&%뀕Mh9uZR#А5.^v02GۈH`ѕ3E"<0 u?8Ov m4, v꿉dÝBw-$:A߃@sWwiC3ݭJpjmj֣ @2 ߇&)U.8rʾ̹V(TmO":[is!|PFO9F&gLC*D0^ګ{ u?4T0mm0/E3CׄAk] 0Pmmu,;CPn^/bMطe }}ʔ+ /*#onЎWoƭ%DBPҴGiX0kh$sWl6 }ft05YAH2$@<^H?qetNV>+gk3L9J2ue8{lQeBLEjjA풝\D//vϿ:XpүAI}+U<4jqΜ>y'3AmEK]f8&ZGpTQ:Q!QLO [x0TL!|FH05*u'&(ػ{e.lٻ Ħ ?Evضwv;V OcQ|۷8](A^Up==jnO|:ƍ$A${I%;貄zHit86=O٥(pd;h$j{S(`TLTs볣JdwoH҃(5hJ=4].TmT|?/øT܌y8s2N:ϣ%J=HF)3IIC/r dIn\QbD56tCI)6ng4Ȃ &X SVlAG%e%,iE"ݎ\k|^@S8yd/Kc+عk+نLh2* >!=|㰵çp؄2<tn.~NXcg|$sYXRE%@w|Ih:NΤd"Ibk=s@}'7K/F8vԔ.], 5DN2:EM(nGn|hK8vE$V=hj@*;xҔ0 Kk[]!a`nCt0&L mFWUcOII%j+`'aaㇰe:/A91>[wx݁7$ey:~~thPqWlS,MgTD{<'.7=%XO(`1*M04 Dm 䂲ۨ&egG@ РSqPxi}]*0N/c,\ﻤơcNס u CS8ǑSp&G^qU\(,Z8m:  $*0=2,~deHJ3h\i&wP%(,<Wl$`pP&-\i3G!A)g¹ y(**V k )nƭ+؅Sr|q N߆${6{CWc6ჱm•p融|jL]$#me1 !&X^5MƑ9}H;O^C*AȐdiFe'JZ/'gD_ESFu\KOFI`Y(n}/L 9@Rס q.Wpl8y%$6Hj:n6xݒ0JHBXAI8}U3$ cR*VzYkwhm쬆uWgFWp^:nî}{ھgvک֮=q!߿GqlUB KN"nNӯ=mԉ+͑;T]4n,O`0@*vlyy9JedI%c``k*ݗC'e>0H.9uxݯ;hUGtyBe8$ݙ"B߅&Xr$1hn$4:؉h2 uR я̌ gą8s1G_ā#p$(f7 N`FRRi1<F`srR' QgKQVA@0IJ)Yx E2M s|.a4PQz UæiI/ ?8݊;^-/cm;P_p s$2ؽ OD|o3 F֨Sd!B!"Hx@<BOȽUy0H;./A" {JR̡@o,89Jl6}jL*{@2 졄"rrd,I0|ONI0v\nCNI5T\$a{zc7j[z>Pfߔ,$4fVbDK6Y t] Wk\mpuUBR m@ElEwۍSG8HwE߳>v=݃c8}4M^EǪ'~U_FAc5P^O!-$CXYBRt?&F->ߞMJ >MYT IF܍N71|?kNTlc6:.#HL/0d#?u3Nx?!Ӏڻ;8ԸdSפ?RHe={+uۆʆ^vJ߇n06~f/N8wvUQ%5a_z5.z!G$} I1R8K=6PW,N2lں2DbaEyMĽv~Fr90GAy<_2V\<VwVgmB7׆ˌsʗ&۾ell} vnƞQA?򡳦Gy8o#.ރ*v0Su 6xȩ@0=| ~޻0}~`:Òq "C.}d'#+1"XϟN|CJ2RsrG)cX26>L$^juk):AO8Qfzn?!Mk@Yc )xM-*Ӈp aZx"Q ֠jV7 ӊl`X{q㊡hDk/A_K:R S_=`1SgO峸 \/t)=u'N#=(BJTf)[email protected]>{gU:\J.sjG_+xzmxh=7ot,nB]\;(;bX!Y.s AL:R! 6x4U3?ͥ8K!.zzkAJ!VLotI@ CH}C9X<,K`~/N\<ç/reV6"͎6kFO_a7IäWJ4ңtR 4%BaI!ry_O嶓fH (:2:ҙ4\m:'+*ix XYn gQHv|ygQ{ lǁqNqؽk}NSQ\W`S9sPGdԴhТ}~SeJ9]H`VeI|ɒc9?YR]S kxpD1lsy_0ֿG4ewȒɨ ;R)v3#4H"BBOBv7IHki`A+jS'"6TF7c444r4 2'Zg֓<aPLn0$`$cRntA.H¦U4waŕs8q0rDyP\]H>eTy?sOQkU [^+_@ޕ3;8ܙU_n=.;ۏ;7棳zU%@ H%B4dMeeu 46:N[]]i{Hi'm %I` .;rnip)vQE~?uSF'%S{.m@REeQo\h ١7Y ==cywpb1#a:K~^Ui-}{ A_=&4F+$jihZRiKeOn@Gi\rQ,Ir`hr@ KE@DszʖGֆ"؊*|DS*8ً; A=ߊ x_R 9vCHR@p g|\ECy4t5GfSI2|}*%pIJ@iea&0u 5(g'N$KjIPZ*+Gi)KI`X|s\kzgH Y ِ< !󡾭խ\%̽s'v#V4Ao[^4< <$^4ʟhDf:o'eE{[[\=o-CKOv5 Uz8qh^8bWjuZ-:rv8M; ;vl,^x ظͳJ,1;SHt>ڵ%$=묣٨Eh`2}?م..,F?7!Nps u_6I?Ȩ-7I#AJ^Ue 2_*ڄ pLtwkИ09c<a*`EС!2 Dfnrm8t Gb 8r"'J9mls sݔ4qE6;I ?}@bzaKrK\$5Ë7E|p8fS~d!Ifn>ٽu @I]li5}?WI1Zjpa\;{T+䁝8{;vICsC|صvh/<_AOS-µh$Ym.$lZattt`ӧ:>Nd{`3^zK#}b:F86V]J)]kPtQgՑ=_ögj UHG$dp31A\7_sY L/jlT܅h{ :y_Way:GQ ԚEo񡦥 }u* UyaUӏ\Jr_oHQ*UQV8>O871زqE<؉s=Oߥ7 \C$PUSzkM sbjSG0z`JzU/?9R:iĽabNqc,8>0{9: =e$d{c7H0H**kсA(L"7\觿DwΘ#Ab/ 8nԥJͭ8[Grpx3B[Tۆvmcz ]:[Njbn;!%8_B|:_F1KzTP jnM]0XNQ63І`#Ͽ6A#te{X| Ǒs.ESw|b>w'͛pؿڪP<5Յȣ_:E85G B E0$"vׄ`paN٫x4{aD!hxʊBǣQp C_x!j%%< q2u~cģqK1tݞxi')lfrr4znVIba VM j(o@MeS[ :- S =!tquʢSfzHLEź)t$wF1`Pkv-ЂK!wޏ#\}s/ؾgنvbwNa=8@pY_;Osk13H I6TCX&LӓCB$-\XZC! в׼yL"T4]jח;)5,Ag|ɎJLvj X$P)K!1:o$0x{m!kAPH, z4"=W}bnm{}QqL |^7ln/_ [(BN Lf!ymhBi%[Ib~'-fSu0t!TjC҆QEaMTJMo.$H,9?si@Nۧ.&x8aj(.S>z BpBޅȻxt.2JI"]u0zVf;ANR:KJ K$`W;!D36gi<$h oU$C~o\H[uW\>d(hHԮ~<R+*}(6]}:4 m͵&`4ՙN]#j[7=PYc&hÊ&p Vgc0c"iQ3^K'b~#B~ rsϩ۷`u}/ _E FG!eFI.P;eۄ&?,>{7a:6s>~M㻸{co?{wn 3B0%]`M@On$iL@g (3481{UexI2fgluEx3 4|DI'jz\ :#9$PjӃ$BpDѥsC @Lk=#LM0ґ*Ԁ]8zGN<=| :(cs.k4KNFY̴&ZnK^Ri$YZۂZ-FhvW0zIt6}sÌv#MkC~]9v!;B_:E lڃ{HU؂KgeW 6,I  OWNITsعs7v>}Zq)Ӌ%*!A'4=0ȹS$JE_Hd9%&*|^a HL 5?_fo\K9g$P e dTBVjd}\Cjd/vJI߆BVGmkmDjs mq:5QVކsޛNQܸ1̤xVH8{KD<} WbUmf޷MҼLt_ |mA}?s8:u.FQ)xW=4͸]pۑZ1~V #FWw$J[K[丹Qt2A>Hҭj\v<Y4.ت4Tʯ~{Dz ЮەE/u{!ғzJ'0<>EL#[g C#;<y m%Ş*|{#g.Wb>'S+HbҰƳhC\~hh,*Foq~w^ K5l:򣫧:m7:z4&'2.^ TzQ@Q%FuPi@nqb׮$UA8{~a:C; Aؿk߾۷;ɣoBsYN߅+ą'!1=ҼӨ/>֊(=sru婤&ss DS$R<g\kL&u#,/LpDo?-2"@ ;XHY@% u@bܼy@Z҃D?dIi]* M%``iR<JyEK1$R젝"ym7YцBW} x=]k^J(# @z>AtG$V&0?lʍA?{r!G+Z%l޸v{c6x//Q/_Ž۱}v<(W~;䣬 ˇ.C"Eԧp2:u*OýE6nM>2-:Nˠǝo&suH]bSs`}c!9KbEIV`wiTvXC#ur"Q3!Ffr<?R6ڵ.4c%RH,M$:^W j:L]rX%uXN9N/|gPJ6ěDɁڎ޾~8].8^h5:=~^>@9h>b:{:5r՞Bϣώ*;Mh8('/kK6 F9SPX| Nnw'ٯ[K=b!i)Q:/Y9gĹ3P]~ t _?g*nwZڇ"l6LG}#3XGƹMS3 '$ [h (Kd dt%HgOL 3.ǠU('WE_lA)c*$J쾋$wpf//vϿ:X 8l17Mj.31=q]R 4",LN6nM'qkm  щKAN#|F\"pw#Q]f87@UKc]RvIxyf-$pa9+WΣ@P"4<Wd癠,p %x 0 a+0b8l%q!q 8hT"qL' UXvew_4Kd0462 Vn<qHMSII ѐQI^^W4:%JN TJ=C/4^OJQ#iMCaGqDc6Тwς>-:Bpŋk\(Ɖ~4'q.(Es /N@щ>8J#!FўPMyQNkV \tpPe| |FH`zfl uMhnӬA%6 $b<.Pe%xhن=}H /j] T6E9'I&OAHS(kOF (oDSwɂ&gfUe_:KА"}ȑE4@Z P"gL4G+B2A 4~!i7{T48:C4 aGٱP`e!e;\h(oAiM j=d9ښbv҃ yVJ Oޠ\ϒa[`{UK]:\.+Ԏ' 6c4.+1)2 G_ue6l߷ w6B vێ4y.EKs*ILQ^Y+%?GPQtca^{d|F,܋L&] rT7C /Aph^eH H0 :Wq iRS><I~^䋎d,HB@ ^dQC8KV6H"&Ҵ@ ϥv뽡:xi@إ'ҩ$ h5xQnP;2ґB4PfH˃3E-ȹ҈`ׁ8*h߻HR,-d2isB2Wd7F"UT MષXPW_H!AަGև>(>o٣ƴzEQYF{ g'hŕ3;g9c{lKp3NqMOɩc{ne)ڌSvO\@G}j/Cقd"  _ Hmb s+KT⪉,%g))D$xϗI$藲# HJ-|. H慔</Iit*yO>'A Hzd2)VݖCܦ~[]P؎V +kDm}zZˠoQpW/HơDؓ0;ǸV(kM5xx![Z16S~_]Oz:jqLt^Dж/-/ Nv> FW6Tk(*#;t?!TPCx*^|I:{/p ax6Bch69U $nEGGAݗ1Jooo7ǡWPGI'>~N/A^.ԆI2f`"yr5ՌqߋԐ40 KkUC/uNc& &] jnM=RXsU|(^p sx=b}8y `/j{2٨Vx-v, B{{+Y=_Zaɾ 74rACҐNaigmj}i@!v+x[+؂2o-WZPY| -5G͵8,kkƥǑ{4.9t_R3{'m(=2 rOA#8vx\>HFMq:j,v5S! NSƘ&S1*J DHv\덏%MّfRr(6=0퀁_5;דDV=gOQE%-AN.J&d ߁d;JD jh}UN6ؕT76D13A~59ĭ$Բʦ2R.zoB=N"\_ť=xx{ I'.LytG[ԣ~~ ضa+:ƅj/%ǩ3QV^F/Fm]Z=L#ZZi*Pل|ȿI;ܝkn`,K!Q|6\MnW1pOM)qgc$0N? +mv`HFۏQX( zoHBG| n6bc]\,o АGY[mN} P:ؚӞ]PCOޥ9-p-!Ш {cx ݪWlޠ2%aUvk7Y䱌0eΊFt=vUl$~#&좝k0Ɖch ^#vi"vi2N"iZ{:=nJKm 0;lDA>q|<z99gqbA[C!ڃP-%(!֗IL\8%PSuEEg`t#;1kK ,\%qLӋ0 ̨ N6{`_3=_V7qQoK>6[0F=PmƟ1+{MDN{፤KV(f/)?Z//vϿ:Xt*u(hE(, 4WU#hEcC5 :oڠ\.v97؄Ә4{Wo):cs \XZmG9R<9{Hv؅]wc{hٿA@cê AE!8H:tt?(LS+Nj0{| =hӆN&t,id͗8~Y/]h2O5|]R^N < qS-럓+YݩѪ錤e( 2sEI:T.A':zq [/bW((+,ϡFKSEಐ8H,=*Df#KtTuxh.Y$2gZ"MWU|XjF2 18V;r.<K@DfXwhI:RKͧ$N9'o6:0؊ ĩc{K 4rh8NRrϟD]yt)Ra쮃ԇN:T i3cy^KKFT&Ec/ςvi$@siⵓ_v ,~_NTCI䵶quotzI3ZH-f\PAXz2!QW5t<' 4hP٢!lµF\GG}iXz2Z: h5E Oى. &"uuS+kɈ[ ʨi'\lʣ k/C]yHRK/ IC]8p|?=>kspv&!">޾k+{'H$A۰upY4~5 ]\Zu,B/QW[ ZInjjPI kRm+-J%pyAcB}|_0>h=N{:^ɬI_:Lw#IcJJMR`@/=Ҁ*v:?Y%1333z83sx3)$XʔRJ.ji.<Z5걼flwkyHk7xe6/.cĿ>] XS]قv}!=Xј@"\C<?kT?!̌ܠܾ ׽CE97Bҏtۛ$jd&LvO= >5|&SO%6kpXgѐ2ε3ٱ! uM\-P3*eUFu-ٻ*^5_OBg_fL4cGKgZYZO|.)Cjno"{:diYFt[sE߸4W5 ɾ/VhиE 4PI Geg#H8 S7+`ߤ{jOʗF\@ҋ!̎v7݌7<_=|5}s&5{4&naC{?Dɪ)7M!`D? /T|i6qu-ZJ36(r!v)I}3mx _]KC47br>ğ3˿ IXr0|V۔$1@<i+6OeGK2hmd33:7|~6}~S29S;jLCxXM /kK$(J0,C,Ӯ,1/MOblױI"|:P=nnl L"{rd6 ‰E<-E" 2-%MQɟ<ߙ% n㵝D6.vH=\cS,aE׸;B<`ʐ^7u~ uuGZRM~6 (}4s}-5٨at4^c~\pΒXHDm%ynCS{7? 3udji1\K$M+yB1ɃD% "|e2gC3Xҁ<8|\ xQ9~L"=ӆhBF*MM?@0cS76ርaԛE\~L"4׏; v̑,*s-}K;|5YwIiã<>#>bgяm ϵc~F4555$M-hhsfա5u(+w5|Ur<R߳V?ſ`k= ,ȦHG\89{ ԝ:G֏~iԳ8ev'v'SHy?C: ?(@mm (;aRQm(}29I}e(dE\<.6#s~=;f.^4KZŨg<'py牡B(\KI[/ZF|~{}LQvw|-{7$+*N獍ό+8f&O^"O >ŪzP/kM4`4X2Y~/:ۛym&1G_16ك y^ ڨӍuD}jqv)n^/AR4TTENGio*C_=f;`}>N$m(Z;(介%~&I>e>Ez61yK`JԈgrg /{w^9Bx-EO<_,嚛'\m/+3kfr!u+S3behg@UkH!e2vy! GfKn~U-?Ce}fdx`v$GN,@ Zr cU;tej"~jp A=IA]9* HoT7KL*I(>zF (yuWOrKqleHfv{'rtrI. tQ1Ckwy6 i $)M\z %~1u;%Xhp%*P:a'q:T&If|bE3- NSj.z3[X#QwMS4MD`Ԃa 5Qt$6găray\yMG;8VM,I&F> ;VzH'X٣A81"Me>nl f۳stLaqA3D?R[JRZ#+&JH([&!!H:1׎aH;zHL:`sXa`E0 u|#?&):wE)$+4'xpPB2oc[J?$X. Avxun15~I_R A& h|2^(+$-4ɒȼkMг=-XBp;܈TWlKX]$yxL]cүr\+$'YN&> {p7`SO1 ljNg 1:e4浵%oBuZ:ߪ(m:eeU^K7L$و<kh9*<>"~9C]c}1<>~r?/OI*[^;#/AnM 7#x)"|lMzй*+&Lm) Dy3\oD<<M5嵏ҡҫg<B0inKBt~\k$ %L8Rh@wH"\օf7!K }@v)۰kG~vϟλ$;+tFGca>AQdD`f:ߢfUK *[Y2<VW15=R $\gzj7n:Hn(o]A+7Q_yDc> <sp n`dU'!( 1 g?0}zO>nk'ozi)&Gb]~/l Diz#R@= $`A1pLHp,CUk7MDIW::#H3^#G?4<b{QDډ5~^bchǴILyژ}E#d\=<ܾhq>3g5l~`v:͂2ܨ+/FY,Vy`ӫ6~i+*ڀfOo+ x,ǃܧؠo&hb8SWo^SIxSDëF+ uzhw4ޅ`.@^:?{Hޗ#Ϧϧ-  DPqV`:k\yMMpv 6[mr[r]8i׎{&8FJj5@Ѕʺ6Z;aFGt , Z1㒷LN[ X7!FdžrB**b!-<??4@ :"-LMMb9@7uw߆X`^tTڛuJ!]1%H 4xf/1h´zQzH݊j lh<@2sea}?zW_>û B*3/m59-6<QQF.+xZLQ%5&eΛ\e$!@_z2e5nvډo}_bK똡qdsG`35Oϗq#Κ1q9'IoDI0h|t>~n\Vtb]!ַal8cY$9%*Cum nUUU$q5ߗz {u51C-9CBb9A2*<xVWwz>ݍvW_%>y16 J秷?w #_呾wG긲>qu߽  +P5(F쇈BkwLJ4mA~1%~D f6MR)J?F#S^-g|G-ۇi`EC(9E}}j:7l!.5dJƽiXC Hehl*)ǫm%ڬ㰇|9*Ž"y2q" 6U@IcmR3Lb 3s-ͯ?hBMI*or *G}mnwceAW *O<N<C)ڮ5<|1^C%f9w_cT>Msw>rǟۏ>qo9țVܺmkcZ &Wr1F%qdVgtpKLRſ?8X0Hp173#Y b&G;,nqway>Ãy3$I _=/_"I|` E<vcbrSc]Dfd֠\evm @u]%jhoVhUx Wn_ AM<Pu(a=GCK:M2ыx~_|ECV8g{͏^gOM+\I$$Tb @`_EC>N0|]pCȺ)g*?HE@bPhO" M.07WxOnf^Fd1ߣ#C,йY./=6l,/`p|iDM {7:dd Hzdq:' IejoUB2$jVsY2,Uh|4Z*3QNd)A[1$ HEI0LgAc2bMԴ5k.W`JaY+4Aǜ:wƆt03##qp7py0J]=}}~ Ɂ  '80IN %\+F%" ()+&@P, b-Xt$rsN匢=cG~.?];P6+AQG09bKG '"ٞ'a><znUl j2CO Y}!ACC c=hk1)u\O_z^4 >.^ ׮Uەq7?և.7XhW6Ih+vV~8bo:q@1>y~7_|eF)7KO`)1k:|IHZ)Mq6ebTGg YX@0'h'K nva.Ä;a\wMکKx/p0f u6a8 - m}hœw"6ٙNr}׸sD[$ՑZKY$AZcofqEzh:5o21 Ts;$X1r 4ӫ[:4q1nߺjI00;ڃn,io05=}.$kv} - ѷܖ!+91؎zLccu,.fG~s!I Iw|9>gTPx<;/E Epm2UYL߇B"K$j\d(Q nf8"A vn<%X8!Y8#QCo15wo î<<B(ypg't̏s}I}VkGo"xKۄP7[M۶f먥M.q$bd޸uM-(WZ|xM|>ġP@A>t44rڕ2f>O?:Ϩ{^A_~/CO>k4)ݏQwN Y$FB|LJ7M񽩍G$˴'FH\q(['P]I`$Cґ'P6K:$Q':R}u0 [d']?W?D-EainGS{/{7?or?~( Mrx?|fZݝ!yʉ m B"㎮ YE>yƾ MH+0Hh/|vD=Hw01wI0A2jMӼs>tV:Ԕ@E5ܼz%Ya jo{96ڱF+q/~hzyla~]hOmi PϞ |DebS꽚(W}2\i e)KT>S~lPWUd`Q4?F\p;"^(m#ߤ$emC(mGe^Ah~ }roG^.p~Ĭgu^>>_!K8wk& #]$Ds-TV^2*.n zh^0EܺE|OшT= 3mʪO`7F?9K +>?Y=8GOsxk@^31GHl?>1]uI];oS +wiI^z]K已 ,ĩ &hcOIb~酦 ח6B86v=t=W37}e/ sc6;6 o,1sLأ<jAW(Jʛ72_bpY:"A(IO<c8wr|:t5k}E9lh+0na)Iuε5 $=; f[606=q&}[KaRaf\ӓiDKC9Z*X]Pv:ʪxl҈8f{`#VІbg#yD?Q|/<Ÿ/pK+ͭ]|OpH?R%Q&P`ꝏLC5Q$ 9${LM OMz_WSl=>S7&+]Wv ޯwkFa\oGS#vLOM"iq+$ CpDbs!1^|> B"N ?҇&tw՛u%o'wY'` `b| 5f2\#xkpM6%(j*Ccau(62)^?;/~?Ggq~O?'/V 'W_/O}56TDG%Av5^R!5U@@#ύ)3A;9qN^8FP4ch޳-#lͅm* \ybYsdILKnȍn*f%@CM{'0H!M -#HCR[TA SovYw<4Ù;0N Ў J.%}8TBp!שa=&J% }o8Maxtc&,Qk'I8,zfiCsڹDDo)FH[=p/4@w+ )Vב,"3Dmŧ}jH(ٽ BAG4;ݡe5$oIDG"t tBW[`4>Rg/'~;Z(8"PsclîܘvfTAūxtN\("nESC;A.|8ǏW g$NKӏ1OcNJĊN<x,ckCK+A]W ޺^ft2 {tOcgFQVgtZ|^nj쯗86ܺF$>*MgSmv> Sޛ?1O~gXau8b$WH|8K$G:ecyeh7ؤP5y?אF"W]aLYIfG OW2u`Eu g| "ă7C*9pWL`Z_M(zL $:98c9ƅ6 E[k0N6`hځL^Kіh3i^ח)sG@ 515 gGe1WM,dwD٨UH"K{fgV Yڝ%Y֬~F*p"A~F0?F"d5ҖS$cHG<pM$ 䢝?M_Ӂɱ! tu^LX4ƁڂNi χ%`ad-PH8D@AOKԵ@ J程Е*J2]ܣަ-%9R$FAR@K&DH4AXn;}aD5*ɌK:{n2 Է<߯i,ڵTAd&ݿr߽^BM /oƅhhHy/ o`+B'߽4`Es_6帆hlF|~k%Hjo4^ͤf#oSÈDAoR2ʪ*XE+ߟNGN0;eJ?s|<L̐:mⲙ"%V}l16@c3@~ehHӓ~fvVVY &K1ztDci H^Tv i챼iX\%oÏƢ$4kl}_I'kڨߨà=gF+W56ctI"H?wOwQʪ 61VHk6'1R}># ~n>8;@"E*`z|-ʄ{DTwm 4R<{wC'v$^[B.R}ΫaGK5䢭}}$Ch`3|7p#uaLjB4"u фI=V@eC? ksdO+H'iwX1F]'_6X۲ z0ixNs*@)\*GxI<V|^St2^-Idzg57Ubu+[Zo(&!u!b%6gG|r+{N4T6.)fYDWSp'bn瘝P7?4 fcO`ttuuu& ,e2 ._K.ݿIIH~$NTcc#|>~s ~/͈uE9-vƕ۠}y哏͎Wt/~IlA$op.}0QI= aGl}ك;x`E!.a#WVg6I0M/qFݧ/ҟ߁/!Tֶadv~QE E|^/'?E [lڟ997m2A{dl ʣaMc6 7uýx@O]1\N`u}.?{1˵ q|1-#fu5hhjG{5Zn pZgaiA2&N՜5dXŲnW?>}V7N_Q/*t.^*<7>b#=f׀ 4I%Z1Q`WE%*PnoޣgJ`'.g 8z1ڣw1GOb3 B4$DjFԮ#n?@zdVp|+ރ%Mpȅ2öSZjԢ:NLhOvcr}$C40mDiU9+@@Bkq j@EGGWif1PPo#N{'_H~^=ǧO>$egwQYEl, FO%4)WXu`26<G 6hQI2rD141篞3U.)Th'O'ˈ82Ps QcB70' ,`6gV 'pf4qyyiD`ԼI 'Yi(6lYcwwSD(TE#^;ؤ#6ǖ4wVwY11<˸R '᷍2 ck6ZI,IL{MrڊfLucj҃nOp#윅:g>W5XtSt$^t<a!r<&WGgD;#g )rLdL92x4G<W]1JGhi]5ځ/%/g-1l [N<bj n NbƝox$wEExMrNz3$ї̡$sӉ>Q tvGz0<kxeƦI- JHz:ӊtzjb?}Pu5Rb_g8;'鏿'wރy( C`wԤ:e+ldF[N`n CP+Xyzu&94R6vWq˯p.@ihozD i~~;_p{dz{b_u-f0G" ;6MmNA1AFTaWHin,%X9pd\<*[(&Vvf5)Ы#{D][!.Z2cS8cvU\]ʲ$U@oo7z(m\_cLMq}$ V$i8f$4J33 !H c5dmP ;`jI(fgǏ?3wկm[l޿("{A/[]$xDd.?@|GRã4N^*Poy;orsMtx|6.7 X=\b Oo<`!FH=@d<jKR] NrP θSK.u6`>^M0P 铕-vYEA/*At>!.RVt:n"e vWtbp|=('Ess:NO~9zw7ӟ?vpS'ysnO56#j9y]K+X*gT9mKX{n厞5L &f\wŧ_5B@HȨD:@ (K.b=kI߼<ś(kC$ǎNg@^nˤ> w/bOL_Ur-+xuД<n,dXLphۛܥ\?7}vB[S>RP~Np2NvL#3lc77~ *+GS}#::H&n(FPUmF I=_-6cE(ɫӇhrpp+4YIXI?K$QzQ%{_^%>0jFC#  7;*MUDU6nb֪Y^jXQyC񀋺oM,(_FtV^ L'j{^ZGFU' |5m!,hlј'&~}`3'{Y^wct6ؠCm (pU\xшe$PvA{;1 6UCZ[ cU(1g¿?/1gG?_#oՏ^$~{C;1t^;""~ڍQ.PH EU`:1uEGeկ-'X_yMQ)_Ë_KRx+p 697G<bK)hqJ*O1⚧ߤ_DŽ+r mu COqJ,9aeڣj^avkxD^ _cc|q>aBʁӽu~5،Lf|apt_!gŎW^/ʝØ5nwϗ5ezuV#ե ",'އcis+H&K[Ms o˟S}F1@$tye}?q9DY*Uj(1^IRڼ.JٕzWߕ(x0;%`̛40݋/F?蛶e: Gj>| eH$DM >KP3 Vhn^Nm6k'̬宮4֣o:-2U) Y Jy,c娨)+HmJdb{g#F֗b{xl0ţgTR=z)$AaQ\Юcxx]G*@IcHԈ )eJ7VJ9I2APHy'!RSr‡e;7bz+qJbXL@cj &=ILf6xhy;Fp vUFUs"i gUf2㼖jr^!#y2iΒDQ(u ##9xwB3[\5okwϐ\\C*6vV \iH胎 Sqv\'U\'<*kC=9-NP`4da-Ã` O6'Yw#Sv NcpxcV}l?%/dWMIfH LS9YHMHt:]-iut{ $ƟFB1⫅l@&O`q_$-jvFCQ)†RO(d W7LWVMfW&pG'nGGWAteIs:=@GW3DM5%Uwjz5!+7 ]Y*dVRe%|]Mc-mա 8>{] ""lyX"Q<7p-(GDc^:Փvo:*>y[gzܐ|UGTs: }z:3u^39U=8#Iz=$8}N ~ج5γI+Z P4 +>>x9{ o`*FCrk 4u "_6= (,r)Z#9n2.6a7$ʊV~U W|h; d'84XR~v4^4'L{۪^Iѳ~sq813ҍ^WTWk| p*)C0oՁV6IrK8><`}C$~L̢%5ͨC;O^L.zIҀHu-**X#qhL/C[Ą3N$?`0Il(I4% $ eg ɽ@@JWT~$2`B@aTP´!U3#$x}9$S8ًmxu h &H4g?H޴s: 8!?F[UP5PM쏖zZTTK՟Dck(` RMIi6v@@Kq|! e8= W_E^eX#Y̆uN`~Q;9ʘQ 4AIg?11> *T2׽:g Zy o@̸XٓLFATYjڙVi[:/]UVG;'?D` }-)ㇰJoO'(d+d7SȂfQ}>t K -os,ǐ!uST$I(?~b23j*Y^:5&4mFF>9xg`ul SChAEI)n^z[۸vxf)u: `a~y1$#}3p󹐗i˴ ĺu-jl͊z4 S?&Eȕ5Q٥pʪFuxN|M +ݟ}1Gl klE8b&諠e+p=~mJhzo_W_(Шߤ*[u*<k|aU><<]^SJ6b|fGx^0*1 kCcZbqbR47W 6Xprr]|HSSK Q@Rӣ TPN-Zk;:?Z~cpíEF*E$u0nj2H</sļ5%W3rNW'{ K1槆(*YbaΙvMᐟC}X8}EzOWOhvIz>ss"{&GQJ"TÙޠskM`̿j2,83t&0׆3t ս0^~_l~Qϩ ߕT +IQ6V=cH=8;}}5>+^!{V%iԽ,[?-&kGJa ,SC3ɴAPQJOx[&7n S n03eE7{C&xN} bytu cx|M?Ml@cװLjp6=TTobD"f"8bԛ;!^qoS|V@xY/ (p siYaOQaR%dV)@`A p+a; ܁0/ kY/>{͝ jFuqA8{<Ay59{`jwΜ(爋l SZMM2J IA3I}[kzZ1=1@`ыZ kAu=ABB"$A0"zh[(%hAn2A>w|<;û8-* XUz+*`CGOVVAt[ũIC|ts2Tn((+w9ty.>oHtDa:̊FQGkp!ƑnG0tO9Q6n+{h1 z#hRa"oҏ5OMT~Z$fjY:CcHN2b>X&r3"Cpja#.J#2Dy\L*/õacQ2(ikEwK3gښ٬n [I`j +@rAsr $!YHfIT0a>6nqobV;sNJa h7|5=$P@_K9#o$4 &\ LM, U=:ը<*_=$e5D"APD^Pfg`&Q=<YLsRgq_7F~OLi_j䥵暎Ě *2b znܼBgUh9&8,,$]3iGUC*jx/$`WqzWMk@=OZZQCہG!>:O~/>G)E >%qs Ķ#,EJ n`rI=S"Aѳ |LOxOt$1!ZGG\+f04J";禬@;K <辎PJt[;ʋ$MxV|ƵG](*z226Vi!QT P)#ua IVɔF d] r$IO:w\ji5l q;ve'a;1I5u19>jf7 wv mMFg{ I SӰX혞v`053<| 6x<AD#ID a||@v{saN9P2/|(PD-q+wSq1N zPhw(Ō%2הM.!K[@ Tdj,)5KI=k04i/s(gphKQ?AG7.(M6]ziBQ֘v"ooÇ.• ()'/hn2۩Nֹ44Pǥm)`4 UP]"QѕuD=J[k#1߅''/clt?C;yM<_IПkDنHׯ}u|""]ã_wҏ@-H ;6:w+F[:q^ P5f753%oTq-i]u"τ5e_aԽ4Fh@[j;P;D C_sgf{TF@Di\rHqkA꿚9]a<O&D~!|aΟan~E=v SD)/wYv"e̒05`iy㣣h"QompgzI BRЇ}L}Gc͆ /kz=Q':Z`H(&Lp!yK8E1.yI_뾮ɻ./{Q;EKջITꙥFY7)7F>l-J21~<ƭ* Xjjħr*\],/Z98<~p\~eQ}qcuI;@Ss;hk̄ZM9kA1Mد… &@} 8unhs|]5jk1F.>>3ʯ~)?zr ۴y6,IW1_(Kc W|&pDt[Q]OڼSF[Q I_AP ˉ5h#zƥ>O푈űH"|NI=ʹ8m )cC*:P300UtNQ?uG;.[nqC^Odw^/!hcU: V8N!?Қ2f I o vQ`"i*B351j v}@oKK#|>`Qx^+'pwg&Eo0&m̴cq1LyPY KJkBh.:X*Ey(Wxd1+@R_W6&3ҝLfn+cS{a|]Wv ώ+V\pӉLƒͥ~o^aȟFg)+J?㢼8Uc]xu?NQ1654֠n_/9!E}NQKe7LS[eqy uL55456I}T垮fS}[O?3<3u'WVޑ=\z d.f;ma*Z&fy. ME)u3|k6h>D9&`(i?}'fޙҾn;3i>Hza֔ŵM8nw㽦:1<A_Ьa7k) 0&&<|i*Cc '&9 ؄=4>J4-GХ=93H-摉ڱua}2k$"}3i⼯Zf_ aAfy2^~1t b`p~ӌ_a-!c?ovc,AL:tX#9>d =D^%`v)ZQW<OînrD$o PL9QX:jp$Aۦ!S%8Edi4a\5Y(OsسځWNς\i(ke>#hpG߻_kIG5kJ l=t4^, !ʪDHx}5e }hl؋ήv\pUCD&xESzP |^q ^eޮ5N BCA_$ }? _O;OKKwFz'ut.ODxU0t"I|xR賆1+ Ia!q3Qh(XZ&!1In~%u4d:$@=I$j߲yB!'иZމChMKgp ޮ4`l1'킓kܕX=@Z 5V &I>vUx¤$j+s$ivl.bDK4r|c LCAiQ?;@PMP`ؤ==5usSðO2$2D$ S <^?RE LarƂP$(3/, L}Lʹy#u 0 #BPto+ťd!,M)^5FJM {x Sٯ싂*od^/BF"P9ıYí&Np=lW5}䜠R]'ޫ &[A5hKQ<$|s*`udo}u0N1[Z> lEPOUk{#A%\]\𻨭.GGF5L+r*K>}PʐWPOׇʆv, r LO/o_?+-oΟ<W CAؒdd &+-bԓ^0Hb?ۣ4lS I-*L@-{GF)]`u!V9#T~?H=8WPgLm(I;0SIڼv("_;TvR0gR|p-}4ڒ9 Eb+p#Kec e*Vʰx-֭g89~\&um1WV XGGj@"v_3ILiI80;6Q[ :@f>xD%A E$Gniڂ) &)8$mDna )9 OP?'p0AH"AҠ ^<of$ג>UV'F+.h6##sE.;SfqdDA=;l-ehi}|7m؊A }B 5Նr)7~S/w< Kx l_i6~*81E%yn`2!~݂-*Lo@uQ-Ԩ|{CWW7qvIJJJM@PS=^ (`^S۝] *s wNP}Qz൵SM SƶM9[(ڀ8{~-j%8u<IDuTNdMpǸ.T l+d~?/~D&JH"iTiJ$ݼofJV5cR>=G/twDq߾U+f$㼆:m6yˊ WI/e $3{c#{&Ly n>:Ui"Ĭa꿙$AP( o3?gFf>&G09:lg'%LLgry1>N1k5v G0]%?D?Œ~Ì6#ӱ ;9Dvlt-;u] ɡ2I`$bBYmnhV)&кW%v!S@;z]Wv IhxBs< ]Uth=X //㏟`G<I<YGҀωP;[F ;nP6y.YVcښ3'YuWc`Ϥ ^v\^…[KepC kQ܄At IhCcgz5$u/gsD½$8M 1\+H`Á5 P<t\ dD). v(կ$ $WBP!  q(v'ϥF(HX8ѹ b(shQ.k*񾩡ˮ#˅" ]"% Rx& jDO.GC`HNPiی{!qUF1<6 ocueŤӪ92L*cn~Qn#+%];JR!Мe|` C}j`[zZ;چ֦tQ<:ѥ7lvg.<>&If-*[N+3"C=ø+@sB]!(F^M %r" $z4ș|^'}yӫ@:!o˻<<*iPٱ6TAqSo5/S9a=(|ua~Oa{%<$Fp1~g_ fR\=SEUlH#` EPEUիCsm>-V 2u…ti|p"|*6Q{ {006 QQk_V_״vdzhzeeאyw)bG\ntAti5gR t<0E0Y~P/L#]1pK?$2JK>% {/]nS%(.a"gz3UMPm =)3E QFXuz*xFtL006gD.ʵ8LIZ&' VI4{d U[4)}-S+3GHduZXJI50MDõ2Ir&ik(ZJmh^ qӵd7kwZV AmmM!M5]V߈Nb$,AanjeN \-m#}Q^Ɣ3pnL,JՏjWIR<7<{Jl&e>"Y+ =*cLVl5Vxr$idAxifLkߤڹ]Y9{>髸&+N_ ߻<3<ϹO0Gk'fvv0OrR&YWn>MWnTW/}G0.Qk>u+_~LZ^*] %1Owu-0} ZQI<1=5QhB&wpv'XO Fgx0⎠Gl$]s .b<4R2umɢvM/gQUTD@\OrV's?mJx:/רIM?JL;g&iss$!Ohd1G]=ݟ{ocx~}k^#32JW*z( i-JS> wfk-NO=J{),&NЖH_XƜmJK|\Kʒ-la`$--& -6W_[_Tנcur !ƹ;bqLĶ=ݸVZaFʶu " ka)ZHv?O? Y=R A(*IlllJde[^ SOIl\h$mlM5~+{fc?GX՛87T" ~ÏgoI|R .jp7!(ܳr G!bb}b;SoKp}\~kbȾBMu=qU\xЧ7e(@GFFF0==s[}Q؀FTOMZ07 O(A6VȠKc*(mt1xG8b"^"K<&$A*EQe " Cy=ePyf6Tx.H9(>,m !*oh@lSx9Iɣ'@I,)$蓏Hcҗ3BVnנs9mMV-q};ɝ"**ИJQ SirE&q<1u bEoJ~+i?T6`2/5Rڴlj$FTWZ4כYQA_%u(($$"i?}kc2ۺ3hF^/oF4L60K{&.L<<EGSEH@d^}*/X%& sbp@eK׍6U!>*+ߙ .ŒeHt}tJ`Y {W0dwa1ëU|& Oހdh"\:M_>Ӈ4;ץsw\M:}W}[Yq41Dew9 ͵%\q7@jF053Bߍ1 kʃgx$ǦE71_H< aȃ2dčtԌ cl$hx 1Z+e^J(23P~ vr}dިcg(:kKc;$1L) ^޷iғTrl^б4wRjGbfknE0鄵f9Iv-fzp ]CrJѩ+jF㢃 R+Tb*rχeq6ꘚ 6r8Y >$Psvީ"֪O.GRkFi{F&H:XU2t8\[7RVR:H!(PӓRTB5@ةgn@#c9Gp9ڋrVംOƧVRKsO#H6I LcAJ%[L0E=HHnz^xNNv%IH4Φ.)d0([= l44h!:2@<?Eݯt}ԏ)"Vʎ7Z:ؑOoj;O9t N )MJFϾ2)=\6I;.޼?T)AKG;* ZM8Fi$x5$$ 7{p4x ( P&,S0 ,tu{`.&M}vmbpe1~r ] x\d[1J)_hbJB5`ΧW𩙑+Y{"f$ nBnvUšiM1|Fy~Awu3,)k/Lm'J][?WBP$)X"9<$ ک({F'W:AzF;{U-]Λ&_jL,iW _ϙ(j&5ezl$w$I d |Hf %,w{+81Ntv?UT[syp0ig!~Wn7o ~%(-)5A2u̮C A~yE C.#AЇx6cJYl2k{}#C&429Aك~>ݺUswri꺸ƆMW?^}E^j (4~-75,Js4AvS͎A;" c~D%H{t̫c n<F#6`Eó4oSz\Hǭx0W}h>F R!ČJQ?_#{ '/MPF;Ņ*m"ٯkGK[Zۛ0L;DoVUW{^j+'DׅsZZzt>=^ڊqh&lc$fTk.&a]~$нFߤkoOOi l>xٮ:j06llb6!]!9xQB>Vdyw!}t4 jiu"?tdj6'r瓟l1t47m^1$=`!I|!#uX"+4z e V9?*uxl{6#ce$=i,3#q]ՈKJQ^YoRoߺFDI ܺ}Hz۔ߢ\Ax:OP+ 朴NҗwkKY=z{;]V_ UۂtΚ7?2 믮 ԁm?RyuvQt_ :~1[=Fs{C`gbivoYGNrhpNj)Ƒ~OR0uDR(p"">;C ITGf!uۨkmEEM-HG[;91AxnJ"._N^n7"N$msLl8\N̙2VX_[6 TjoRGO!!MhDv"+lLb;? QByj+"{کs" I뚌J)C4!jHq<a0E}e0Ǩ'e%ү7njb/F_]N|波v2EFM&?%z^Y::R,| Yq@̬"2H+=0=+c*pWMSQ׆K۫p-r}}9*+]RZ *cU}#\&0euMu]h:j!Ĭ߹pnV6vm'Vsݷk zl9(4iЎ6@_kAY%*QњҦ|GV6*9Wث(ov)" ̵mb ]Wv &\ L1M٤0KG,,+N֢*ajӹmHCBG>:Jw0]Ű+~uwd*oh]}k'(AUc+:G52~) 6w ݃sE}G754B08dv!-H'"4<NLh"f!H`q)²x}tn"Tm;bQ))P6Ҍ4)j1XTKI,+EOTt4)E[I[^\hTRTyFZZ7QKYx+Bt (JqtȂ馬)9m5ߘ"ML.Jh+HQ(,Nvq:4~QՎEѹ$4" f+aa}d9ts aXe%h@!WW**5)CcC5hHHiGawFVǭNL8$Q89;)acNL2nIi"] Eߛ eD(pKJ<ANN "r1Y1<lxqa6aTG-CD>o (z(꾇Lur:8ɦ7~#ˎk<zˏI\>C0*գAMG`RAH&&p6 tխ!hkG_ғ!|^i $u_ 2) S1ԏN.[HD8g11k=9*[.666tE¡]>eDsQ~ڳXԋqu9zFC$X5DAbFR(sp{Wu쁚 >Ӹ}e˯Apk+*2@Z/JDPzadqB Ӟ4𧖐Evm_(m멋pkvbO7Y&f'\ Z홴 =\~ǻy-De95:2I~Ö́W@B8 <Iݧ-Ɨ0j``|ƅFTVt6R]]gWUբ6u~k]}h# 7eaH?3O8ۃf> qzeO.l0E:Ҍi^gY+([ T ҪTm]g :M)foXc.3SEjtשQDOi:Wn<yȃOYZ [ߨ:yYH_ѣmyQZ7l<Ah1<+ \ǼAqE$Id`$uBݯ0kjDcs#yz14:dҔLyA-u0c2=VԷRi7۩!n ҩ(&a)ǣ{y~ uTkfH5>u_D6U%H76 k x GdkbHu={A}q ϛz$4q0>'Hج+V6it= 6Pz>5؋uF%, _*Dknk~%+AJ&{>9G@\kDD)m="tBc++_Ɛn Y6Y8kɐm乳q"WDy M9i0ePVי%Jnq]5룚8>>dki'%yt9Œ;@")'P6fHf%HN26C§?'Ϲ(> ث8P @bT怦X"˴<)Έ&W6>C:>M[$RB@kH~+SEh+q@Z<0?'pqLP?[*\-?z'=kž^S"np}hhnACc#ک}ݘkAooygqP@} ,P& mjhOBY1؉{ڰƣ]Q$k* #&ӮE]oY8c|$m8҄-QJ/"B`@#>^LWWcb9|SIJs xեN9os?ǃv7ө,>d_\)CǴ4-T 4 2ϣmzryy>m *{py=,Jg*<Cȵb7(HQN_Y 5>vEyĤ׿OGYy5kPQQ2Ҳ .)7#7601=eb a4ݦD1i"@L ։Iפ{z3B:I(dWSLtXIseKDU~zYWꩰ0NR%Ӽ*szJ]<^Q@+E;P@8[8ع >Mv<=24jtxNmeH mczO'vC0 ssE? w$;{H QR]%Mg2ݯF%@Em+5 NFomBmk#H|`2!m$:ޙJ K)hcI :ıJ 2٠BmbaJ;]Ӄ@س-4HMIBDC\<I.Y܅F-hjUc*C:6t9BHQ$¦I7 ul;ڟAF$dL `,,be)nJߨCϤaa5P,(]NlbBU 2 @h1PJ6hr8؜!9zϜ3N C%(H9;ᘨASFkGN-hhⵧi%4O-ݽ"ذ3_#V{?ϕ)=lҰ%Uo&QA!@7d\NG4P}|^!yU^Jd5& Pgx6ndqS[Qb&;HejhW pd. ];P G"%^iu$u|+RN| ^<;95waS:wrHFLHhu2Z 5<Z18=^Yi "q߹t*qmJ ihr%Qzizf롺L[Ϫ>B&TK\^=@jڹ8 o8ԱZۧ]zdڼB:f^g`e4 8tr."JWX H R[/3ݡ>7|Sly)[Kytb.?:kYGFi)YqfH,x>…W2͸a!APmPBkpN=v%+m5LK'7Csmo`#-`_kyVW (Xm1[zϵb\?c^ Z=Kѩv #CujG f,%姦K0sA0<9>{mCd͌uUytYA@X"_s@~Ru %nES<wxF()OL2V4NI YEs\DV0IcU oɭo089c%3@4@Ds۱7{x|{{$N~^Mo}DOIfr/iH5ꍑď;0Ez.W›|Lx(Wt_= *ꪩj^,継AuC=;ԃ^׳ӣ&e_~/<z <!/f1~ ci^E@oOPpUzSm3Avb'.&+hBx;O:xSӘjGXVWWȟ|WX=f{"ţs).*8XlcjH\B!|I~s#=z7+!.\˷+101/~P6e k-:xccy5\s-SyLqxssDZ݃lngC` E?$:S<9d /'[M$@s> YLp+KAAtvtW`Gg}|8?A Cы/ dYX?dhtu1NA(W>G/M߂RsH,o.Eѕ='>":*nRC$ )k[L$#(}]e6m]0u ?׾5Ť _9W{XX?+:joI|dVY2*IS 61 >:`zv6(M@.)˗q(P&Ik!(@ QJZ tPmz̴ĶmMxs/hۂXHqMz\}.HO4Rv CFRY+yڲ|@_Hu[A yd^gQ A+ftXV&ȜUsY9967ׂD5P{=(Spc1P? ?YW{.^w}I]uVvoS@;M'TP0Qb,v 6-W?#hF`>٥/\s# Vq gd‚nu]=C<]}hi4R5 C1X<6?Yy-ḙJ^uxZ&k^xK(\UE5*WI uUu/G)o!7k-f+zLzoS/SAAAVf+E;Pi{Z1$0!!G[Wٗ`!J׮=8R*KOp:C%ӈ̅ l D~'ǤՉޱ)k஢ ^UIpM('aQ*j4q4>::.&.Ym-hhAB$mCɊӁ=gGx;Gf?r>eDE  4O#S`繰f)nPsG3M\h~^XېOo!HAEƅ3"ap MЈi^-PTI8HE4syӬ/-{:YB5![E uLi~%xt\43BKcjD!-`Իcz_ Z.ŴWp5u:`zn2>Qy12F FOB B[0GAQcvo0;M5uO`x̊9̸<89:Acᔁ)s0yL9qM>Bю뻊S|\@Qt~Lp@i]y_(zA#Z_$&:g FHj#[3"5X:0 һvICc㚱ڨ^S|x 7ow~ GkaZ}4f;se+ufk?͵6bu2$IuC[O *( N`k`v<kz?:dꗕ}00:A@<ҏۨm@M]-xp'Ϟ?}/ɋ:{a 4>5Cѧ)P^)swO(ǦfЩ] ]*SJE~QMR.m=Z"l3Df91֐%`ƞ;v& mߍ>=nDSw Jӈ<nC:r_v7\J[5 4-fF \q;'3Y3yqWƐ,mAy$ ܹCPHsr}l٩_WĄ)@ p+#%V7Na Os2#&Cm@w/J1}FFx4౷oCSpm?V'wh?OAI'3:At[bOYI>Ο@@D~1BPR.0K!b@D\GcHLiM2D*4%<ߤYs@Aa?Zo I.?5u)q/P꿃A]K_y5',^Әڭr" ē^302^.k5l&(#(CtouTOP9~󨪎+E?߁ΖZ<GŧO~F2t`<xX5 WJE+oYj2|jl /gKCkJ} /n*+B$ :]/q$ @ˆ+AGٹwFlO=^ڸ.)#i3d9f6$1dSp}.5G'q5sQv^/lD0E_qJ,OIbĈ8׸jP*!d]=2FۈkwM4L׾ 0oKHF96tvS1L,3:5׍NccsWz#i %ͨҝz('m`hD=Q>4 m^R2(da(aW@@FU (m,D1@>`%Aae#)P((6ӲyNH.I=ĕĂV,g"~ٯ;O>UKr~SJ:54C4C4OA7[K'as`FycSzz:N_m@e(_az SM6_FӁjSVS]P0 Ǐ!ڄޮfGjIDAT_#œ/иGHSOy]kڀ~wi\H"]L1&."nN5OMЮ^M2˦s +nso0ʡ }mu4@! ;${I8Ac<ȬN/ca!.\ô3d2K+`5ALaDd9U6h8C~KOd$>Jcxwhkyb l<Z#)X` O(؃M.}ݧnu 8HO=..>a6 QCC!4Z=Espih.1"N _I'5Pv18P H PGqt%m6Xmm ҷ Ǎ }Nڨv r ɲ0?whpȬkV& \j%p2F K<%9kid(jvwD ȈE` u`b!X'$!hkFUTfi F;ҀTTTJ㕚Lڢ^SVSjr5jm@ FO;&'h0zz[ïW?۟kgx=zayjTȽRRFNޤ ]xL {{[HN yL"c { q%Sl貦5D%v\a%IXb蟋`tA[!OD~)GOd1?GIXϸƝIҮ", YTq*Ih,L@Yf"LjvfM,6s8]< 4"VE] &b)W 4 |#qш[lA18A 3ur &`(d}S3 K ܮҕQ༙[nNxh,s44!H0 B(B!`+F)!EnW zu' HuW(K+@sVչ+{=#3ABif1$ؚ >ȸkKZkf ((~_/ǂdp[+C<G=lawqF;n$)"5qnjU4k 4v 4sNq od|u&>Dաx .^e|ut"ucdp;M.3;o_/pSQ:1ul=JzOci(ϑȥH'H?ݏqkڃ;$ω=J=_"^0AK>Ph1j>Cm>EiK)-.tu3AtNous{ 6T7>ObKyqԓ`keWU% \FlZo3QvI^ ]Fx;Iq<ɉQRJӿԶMD\j5V;.]ഇ!P>-7<aXACF&g1cuSWw,-jTW7 \te-R.^ƍVt ZIR њOQFIR'|Qc$fL"ssi8p+Bֺ,w lQ :g ;MiWV <.&Lۣ:Q~j 1wE"MΝcطL"@poWSH !8v_7)^3X\}cX l |Ӷi OVַCc@Cc)%ilm䡂@(Kod[&{@}N_QW_FJx}?|˪L~Y49= ߎ.\8ǿ_˿_?>ǽ_,)G~[1O>5M դ4ǣ9;iQ ]rOU)  Oxp%:n Q?hwL11s:n6.S~m@ .zT]c^pc ']\ lyJXG;!vhUzP-yWf=a֡)_g%^E觥G;X} $BF'`*IIC/TOxU $aHl(,(u>qfjƅYtLLQ_׆~ֵҌټx Jje_C&QSk6ʵ4 /gyNq Wib7t]/ (@A@28(، Q_%- h3c "&1?*'݆촃ߺ$/1ߨ ,a'.nRO$A^'b Kɯ?~3<GƎ)He;V{(]}ğ%P@SXpdєXD=B1TwjEcSh%^oN7lsav*1Oe9ڻ:M#FTn_3jfwU:+͸z"[F􌱱)\nbQ\r_|?/p+<ubEդom<Ff`CĤ|^OD }e~1@ _@H=65NAN?4Jsya֖nP?d-}M6@͐}h~7y1[h:B>Bңbqa'u8P$I,~[ PQw[of]_8VAiS]}`8<<ԧ0ybxI=zw;<?*P6j,QAK0z9 eBӛ:juI]G_TmniCM(-6ruR|5\^+%uh靦O`V.! &tZxvl؜^GoX1` y( tyhjD]QE]1]ݗkD#S@]<J`vU'Ժv•>E#C*%W?[wxAIަ0;q: ɷdRDgdEij䧝QQNw훸zd&޺A҈xt5i}Wn—WjWyKp $`lx?ZjWK _? 4??zׯad_uk&ԯ::Pv%Vi0zH*^@3NdݼݧS|Kvg.eˢÖFB>D%8I "P:,qY&sf) Y #&vDI~d0h8Jjg(xEH+6+ADb ÌA4N-Y$iX]?5MoG/hv•B퐴*4K{t]$4=JRTKЭqU4fD$LՏەt2\sJnFEAi"@s3y>RΛב o 2xL'lݧ)bM=N,Kyy'!)R<\G-+AmfSkJ9(T0ÙJ$L`k?8=g^{ϯ .|9D=#xy} qjbFDhLh?F w*]ZOÝ\!YL[_w?o{G.C3Fh/_o}1>G]_GPK{#߷/~?!>$և}:z5Sp |?F:+OOI7x/~ю n#~}ss?V\?e{I9jq8TK>ON9ђ~MvnstVv.$;GA%DCG!OphtE<g"SÇ{X^=Orp۴IQt^֚vO C7mGR i"1?e'i8!qGBY/ вJۤmgv,Pds}N:3w|4 x㋦l QC<9,o!9E ʪαMKȴ`N7IќwR'<))¯o-Lt]G{%puЮøv((udU0IPUZRe Ӵw8BHbZ j@j&w$En.5ǥ^`=c|3o;?S 5ni!\ceӰʭ!DUpzÂ=|w?@WFS۴Poƥ޼o_xKn"}]wI(#օK} ׫q:zZހm|現5ʘK<ϐ?} ͔w+Kls2@F}wΣ>F LSM3!O@4YQ}992NY$jv:'Q\?$&Gbh++8CmONRf4J-gV 1wbu{X^~\/u~Sur\DABe2 HI-*N7=y=2んf4jaIe@z N!SSyIJy, 7sٳJ]]V\7eMĝh@ՔYI5A`җ_#z5(P·z^n@?E;2i:h}^J5FкicVYPzW Ĕ6S3 _kA%0N{F5!t߻ 򉚴>uTO>'I;?7&} S ϛSeE{H__w>ַn|%ww>@=mnķ#Jo.o_o~&!]EyeWo\lY_ku֍v*P܆/^AiY9K"ݟ'//?Ǔ/_Z*)15F{o5Q;QY"ױ^)\XL%Ya,<E&zNszl\'>odg֛kYc ı\/d6?9N`sd_kXA-`}}?}/}Wʆ{:nFqB gyY2<zE^t!0Ժ^S4-O1bQsGe oREcJ*=lW8,Z6'@]uQ5gulm4fiP F'D=Se d* 7KD89+{CߞwEkֹktNTZ b e!t n٬='=uQJ+E;PÃ$jT'c>&Oςl7?|7QO1:)Yug)3EuIuXq5AR {z?`R+p7pת* Z)+Wy y\^67oƛePY_˷f-T.l'Ƀ}||+.f kl{XݵhAB$GDAd$dJQ`ĠӐ[,I (|~91W$%>N'.6}6-xX+HrVrxWKE)w+kkѹ*bu%ivnHµk8I8<5xq70kz(a㵠)<zFL#͵,Q ɯO!(Blҏi0攙 B%Q$[ U{58.QuK4vbhk-GN[?4 0v?97lz,-n"o Ƹ4;+{HD._k젽=4F8</NӠQjʓ I z`OLAFPW" B; 'Eu <mD~iھځO[$Q KRʅ76wc<|vO[3daWC'b;d zj$ L)="Qp-]#1>9q -]٭rԶ5UD0o] ޻zDB?_55&eJ.|WH<*Z*fƱN`g}!ǤH2EDc~} 2&RpC$^ڂ.ݚ6 A%f⠬ %qm&Q9FPsSM;EgE00 ,)"uxqpz۰|tl?_z͔nP  VI}@Au΄Xm`[mx#C,8"(=hhc Qu 8J~$" }~4w? ]ChBτ =c6ԑT&fnU/k?B3MXtz ߤ]:EPbNjB_B o7RT nE#)4u.>[Ҡc5Gd3zZ7*~S37,Aα򾺃̨LŽ/?Km&a'$vh(a`-1 ~IUݸgjh}%WJ ?ŜA=ɉi -ݨjiՊ4vLt)_ )xe@/P/3rY u=DpEחueM`eIJq;06DdzdzOR>\Nl7uO=HH }"z<9titS$m@ :m떩o.u"$e22TRWwF*FԗP#J 2f~Yw$ y~˃P*S53G\1|Z #u]" R+z`4gHz~:4Ax(@ۚVgXT"ϥif|Di+ydj&kk5Ms-mlGUS'j40m&:POݯmlEUFvIR^یU p"8,Q ƳN+ 6AR)/mt\]k$WC>-K 22Zk *nY-uwGl<}  k7[,w>_ټgqe}]4rQvRNl/OPVDGw8XHdIO0{0νwli:֋t"pPczD>*9[V)g'[m}-͔ܷa&BIVr5&ӵnXYo\AaU+L'>"64,?9fW뗬cl.y-I+/k,K>g7.aϟۥKn/^k%~ύs֬];8޵b.H^eݖ,=ſfq}d q 7Lf g[Nv!?^X2$Drɾ#1q8ܦ `i{'w<`+'ݯgpXrƣ'V<K[7rg6=KW]^W dʆwf5%3hwN-,DRpʺ'w$a#M%6)Y`H6aH咝.x0 \v{mJ~FXgѲTj SNmw-.M QY[Oz }weϵ ~}J>{5ϛ`@|ws`?<QBlqlvvJ,s"Β=\pyV`jdo~>u[>O` *Dr&& @jIz2=9; bkJ2H#(+e4N)(T-*0DFdHz |0%YF?o]v] +KrW] NT.arѦKE+ 6ת ʼEu~yFJmGτc" C#E϶A  g)2q {PH x ~T@!좜sF9q> %sؠцkt' @( ROtR493'C#GX_s3Ƿ,l5fvFK󯯟H9@jDS]ґ=1!0rvڎ@ٮ+Extwod8_G۹-}/^cKJ;( /k H-Dhc OǢkLDwtzF(C7(.XWoMe*I۴]w:ӏ "Vlڑx1rm9OuOz_]Gt@A&$}-$ںN:NMhh$Y>b?99Kavfζ u{'~xk]ykf&c'N7ۊU~"u{oiGk'oJ5s XIfU:vm$.tߕv,+OqjVo.XI;+XXDvZ`.ctcP*.tV[p&cIm3NF#1'PqͮIzD0(O谾^ mmmWf*Vx\[iurKͳ:]R/aVp ֱEZ'.ChR6 {^” >HCl9 U,%YY96QҽiDY{@:Kѕ'@܎['cpm-l'kM;*s"[-RqMy""܊OT&N  {Ύ=n~, 㤾)B~^%dmɯHK}vu{E$|Ml,%ݝHf㉤ţW,T<eK"FF_7_z^m c1EGt?= (SKoyX+'4cCc{7-9[ﺎȦ=B2Ŀnv?kbz؈& GC=-ϵ~eK NKCObsV^Ij[Y?Gحt<߷.=:=tA}˭h=<YJ,D+3r([PmW;.j-Yڴ3%dGEDbN&-gl"Xfg-vtUt`Ȯ >LتtiiFfjy(3#yWއ(e Ȫ@ܤYm#g,92 ȼ AΘ+zT`tz`)|>4eKBE4F[E뇖mmZ}G lYZD3_:g|Z'-*8Գklʲ|=fOܴC9uu ;=K^=*Y:4!X~^ ;s}6JxFz;ݲtS//8ZRlnڢɬMƳQg_~}s/W.uP(ctM?+*OӱE(ҤFcA yOz}ԧDҧUSd7Hͦ))_m/ye^G.;kMX` ~of_ߐ5y[3Gksfe{ξfm;}۵;ed>Bn 5J5nݿيfdRKzv7+椃5Ue eBNZ-6e}Cz~q%}CL?Mٵ>]zw^/%[Xq+!$s3eXU[.dae,hj]X-> .6`{u{F'{J:"2k|r(udppyh[ͺϿa B^7q?m![c d'ق];l޽mwd?Vlvƌ1&<+/+ +EF]v7]QJ,kY<'(C‡Ӗ*MԔuk,>lQmj,1(;h<pϹna_fuc/uQα}7","aN^8gp<voo_߳`CN_Nww,;a33[Y,ۣeߴ?Co~`yHd"%ӹt{w\FIq]0/ۈ~Р[_=!bE6 QmFe id,ʘD4b6;FȨE,jVlg{VW`Ά5-QߴdmE%DЖ=?"r$1H%(Ÿi)}RIlgn7_0g1it\vYtuK$nm)) z9Vu7/-ζG N4ϻFy,V\x 'g37!YDp;mecڶvkZz&|22‰oOܖ3skL"9 3r0=31T!\VB:3<n7r^u{WUοn]k#YvfŖ"w\@#=Ō-ِr"O e9{= 0rf5%4w[jKY;oo? dl}}n~KDyFdpww684gj^ >"t^Efgxe{ǟos[ >d3Rn?#SGn"-fR[9E懥ӣDFB?,b?azo5:}EKL -&0"L$Sڏ[AC1Vj"5H\ӎ5g.YZQN\YmiiҲFP#bH}{H{0 tAx5YHAڇn6?=i#)>>X[FO82+=e5=k>GO]jkGr% YVH R=H&HQA FLM$f2{ܴ7UkX,]YxuѢS;"),Yqn)ӈ-Sdvb)Ypc8j]cە1mǬ$T}k&3v(\D y/^߾vɾ ri4D5ځ]{2A+"g]p'J&Y]vا0@}}?.4)c R֛^XdU.D)G@\%!`K cwL,YE_hӋvx7mvmϦrK36`ve?P[Y1O|Yh1^Y^% fHOo5mj";;jפJd&?8fCvw@Ax^znӰéDhtKJqZߐt_6cdBcjZzFGdGD fhfg6۬Z!zl7Odۋ4} ȷgDrmr/R?Uu(')G-2/pl1IJll_FןE_Bʳ|>ua9v6z/r\{Kto11Dzc|zPl;ݟX\}[ص%%7SoK[;}׈o]^11r&M6KAfoweu_b%^GѢXe%+szҼLsZ('g喅5nN$k"i7ƓvM6j߄k[mmFo%p^~2+W/g^zþU{rNfm<SNqOuV@˙b|p=H~20 @ |`|6XH|X6@E>$(Gw]' Fdֹ$X„ƂE[eՔ_#֨\nHu?On!1+?ؕ#$3AF+˜:/J(=vΦYW㩔MNNȈ @uuwXF {׬ MguIX.ع>>,R-q-[rCeǧ©k7*%+v(X-Z 2_<c!A a 0Ex{y~(#=d-Υ5<QlۿNŖ'>R Y% +d/9} ,͇(4r8eG7] Y̒|7}PMP7y=#ayG6Opun=n⎕Y%j[c3. e^L/HJ+YI"J(iH ',?&?u 4olem9Xo5?k_usRǀ]56$I:,H_<^m爿?|=.@6Ӗ[DlLc]ח!@Fy{[fꍂ-heڟm>}O@WA`V~CEvrz]8ݐq NP$fzȽ"-ڕKvGcXDbкX-ԫ! !zz}Qwg E P= ,<qVr ;4Zu)D"#s"H͠@g3a$ X@ZdYr}9h}Xנ{u5e]{Jd["Yãq0k/C)`mr2[6mUil(3$r2w]Zܠᑄ~9F-3"MЃ-{pcΡO yLHe$AmgHْƛ,,K8xu-6h\@B0Y,lw}^&Ó.p`@9s2\6oTm͂e<); X@& |\&:qOKGຜ w}d*l&8RT3Ko=.d1H9-:h:kt_wS+̮vg0g+շw?{n;5߱Y  <dqbe9ƂTIY8Lbɒ%[͗^.ڹE쵫פ#uA!:_$Wdƫ.X,wNmyerYٶvwmm{n4Zrz&V‘%DD_` ٧BlB}ߗ):Eڶћ ,"Y-C~MF˷޵9UfLe|jr o?^5Q 0^9,[, 0 gR} j`̔yYhحw={-YsmM"kJ.]4|嬥'da[Ә,4fEmnhŖ EBJVllp atbEv aYxuXnzi V}?NGszJO#z<#{PZ OTM|keTP3Zԑ"RHmOEzV#ɪע%eFYO_PelcE?- _;o3z$Zs\MOg_;CvkGD~𪐡6$NMm4pSg++JWse E3|SNo˯]p O߸rå_:DnC.@p[dL~?l.n%X*nwo۪l8mRɶmKrt,P_iX Ă|ܑ;4AI9ឬp-LvVl3&{Auo÷k@18K!" ;[A 5gge@PVc`AC*C:U..2tI=<%koN Jo@p*b <xb0u(_gK"ǛGV[> LϬhmfvv鼦0U%m2G_||Mj [VγJeI:YؾJ\/?>אI׸TD޷gS~u'?DŽ&4?E3=*'mtXv%9aq{\MeRzϖ VĐ 约{j噊-̗mof_>v͙)=?9 `4L6'3\>8 ULd,I[ re Ĉ ثl߸`C".ZWπ)kGB"SQ69ar ٰzޒŜ=z-./YRZl;k۶#Lc>gߞ]ɘx{q}Р=wra3avb=_DC9?}'6Y V<вyAâ邝}l֪}]F^<-}g$ ş?ӧ#Pse޹i:p= 5cD<<N J, ҥl53]߶ŝ=YڲH¦dzY۹ydٖ=e1]+P6'+}]/~Άa+ .oZyB[=GS~ y-B"[{{?w?>}@i|ɖ|#1Jaxu]}?KvrR[-J<YOϟ|d_ڣAR~`=f(k,\!~cvviac2#M NXX`_;Zo].a_le8tOr!dm t&.Xdcø Ypk :e|ajmm,:tā:q R"BHZΟ^ y׋A  )GV.s,O{g,1/(0p6K@ep bB XV"`2" X݆*t f&jRkQkU^҆;eYkd7PȦr3VY:)P(/ 7q&<8:w4pb7 ߱6큀;ǕJNp/ zzh + @4HONemt*:c9RjQdJ(X !mS|6NC1(%" tfۣP\6 3<Ӝȥ(8h3  % qlKju2=Hm"z:i4p)4ʶMU4 ;iS5;Bv;Lu-@=kr.;2u9Z.Fm>zboggO(K48cdfh,88ɘE+l6/"9(tg8"}Fgtv]Ld/kr6 J V!NAtM~#鲻ʮ P 4$R3 [ڴ=ڛG;AY uM+>i9ȶA ?%@H;vwf'{Nx{,Og?x"oܢ$97^XIwd]SE'LϻEw-nZ\cJ7}z&.g6oy:f3kgjN!fjO%޽iwnۃUOquޮ@REOW#3tqת"#8Kv>{WCQ럚QLվq,zCD:3kj<t Ph&X/7Z "Y u/ߐ][v9MV Pk>wD(7@(ufxTYge,0swݐ?g̈́ LRF"6?'// %k;oRNyrN럾k_7;cW~c 3F]Ը*)фs'"ybJ/v ൜] Co.tŮ{z}AJ Md̥9}6bclY_/I7`0„ (^@RgE&W6mĞk.Gm;6|!eQ"A{lE]y_}Y)X_i}u+Z7R䴶w[b{v|=[]ll}cMOK_phu]W / t|h#B") E`ݬr)HsesqDfsUkdGܲ/זEEtvt}Nvu8f=iH ^q}JzGB6`AШ]vLoYYfҵ7o?|F2UwN;H?Y'u{<-(;X:/25U֘ +&巣e:+YnEt67E^61O_Qm,mmٟ~ o_t^dy{G$EXhVlzfRU;}n 6YĤ/++z7 vyĔeR9K369X"ݙrӲyq .`:oC}nԋ.u;v|zϖWt?Ikgl{}׎٩HݯXFhlquc <HZ{DY_ \=aM!EbObuGڲjB_sό:%a=ۻn=yn 4"icsv@1M guv%`W׳IεwضdoV[Ƕwh+̠>P;U"=( k 󻀁olwzSq^>w;ttj$\F䵾7ҥ!פ34bCG13vˉm޺1.9Ҟ5oiw> O7yj@s>g۞ucP"z8~N/UH`/vooTv!Ǝ–Uf*6ך=X_|/ K0.#6%qRm>+EwNxnq2- %bWϮPt0^6Z/Nm(͉$ndjqtچ&lmqNoE6?װE;_m)󒀿$, 3u) N  z 9a\ w= bgT86FHcskn(bWڶMA *n5K|&"#M@2EuMT~hmogmON jg ;.hZ1 ukO%ivnrȼ;3eޒoauN ;.K Re ^'ejK͗m(AD[etP -U[nfUW$P-HNlL3Z}QRnx<R"q ,`Leȿ :%/x. S*@6=$^q️I2iE8#rn%,M8uWdԃF+7oAtDGZ;?x5嗶-]XNo?oK%Ĭ0gnj%%,#%+/~l@gROZdn ٥a{{. /\s;쥋3 "oq#`eZg-UjZNH YC';~2o5liwONif6uVt2 \ͱtehQGJ6\ސ |?ĥ1.d* ibFЧNΐ@PvI$a폳aBC:t1hgE8fr};y퟈.Xzls[Nhґ( B ,#HJd!k;ug;޻lnKNovMYHbXDڕ/eE4.Q>3q;u,)=x_D!(Pj:l_Xڦ[_}ٰe[\j5+T>qS]M:9ـųO{r).@({heH F|zrPa _ҽcɂk~FsY̜ Lkŭcf8igitG:'< zO\go>/%GC{- \lZ"޲__ZyRv.}FhS9ˤ[ZVvL瘞/ ɇT^uކ9uq%8t\g]zuל9^pC>:oTI:߲LeR36ʊRFVx@Z|tBSQklgؖ tK'.@) @GgȈ++` {43P`"H#=I{x^u? Xއa +%֚֘r]i&kHWe]`XryC_Q^t%[J L )]_Dv.:clO5fdђpQw|lOك=߲kJD齲+`9N\iuV獝[h"9]>Nt_ HYsyK"&<D4m㱜|ޞ5vkM0٦[e?\ z߮:kt=W6,/, xŷppkvex\]T&0ݧk[&QB&MO9gzR^ͅc|G =4ҶJr#jyO~#lOƧY0f)apJʒkn uШ6.;]h&o]΁o]D'x.r.@QGV<gbJ9KVj4r3˛_L¡)-j\-䒽v/ %2; @A!}P-Y"''P&o!\<@đîd5ηow ׅYo>{Nv @H~=>.|.KO%ɼp,h#[Z[>pV>Edyf+iav%+%Xf1atC$U7۹K]N%9m0)";iչU+ eeh&1kYk#|Soۼl$MF}`2E@)Št 1$@x>}~yy^cy )Y GBP_p6NC{溸K񚍼-{mێT880YZ֭#/GVXDoXHH4Qg8RȢ>$+@Xw(nWzo]괋"WctzFmuشg<4GhR 4 [Td{cVaBjͺ@öed&] Tvݲn5r[R?@|zL`,pc"r8࠰fUu$A$ rnF8 &r{$-6i( ) 2IΞl[o]ز{[RWuMeeJKz-ڈؐdXeXsK:g=;fcl嗒FUs2 XBq 2쁔qR 4pv ,@\cC)q 4C:Y yREzl&"K>$+ V | 'b;d7:{:D@w08;20Uѽy2+THMf E֘ /% e@z&M=] d.3y6L\ hѹ$#%(W=/_) U֭k~6M龀tUKZeܾx7qt]3K;d U;4Mf9j:_5wo<%xaƁtvo?vFǒy9i ݮ7{$*`fgEG-lh*e)͈(k501eeM0-Ұ;wxKŦ Ι{N DXvD1";g> 2˦ |"[: l"$2`@G693sg|=@J,'If]/n#ECcKԬ?^& #[^oK4 /5{tgӞ<ikDz is<p])WrMuA!]l o.+뼧k6UTaQьȲ]sV_Й.<-ڍA{rE{sv^DL]3ACJܖ퟾e?ÿTl/I6=iJ3uɖ^w55y.z-2yNXp+gDsOD@9b^A pA~N6ZݵS[?yresmC7?mm#eUI֑N,VB׮@*6|ڻ-=ksyKEu:y L%}#!(7kpe MRpFtOؐBؔM/lnمk7wpV_iZQc>+Z2cG75u o(?k#gAAt .}>^eu}yߏ x6K$niEb@ |]pU "5o޷9R(:mӺp2%Z'~hn%/EW2ĥ9v0 "5*=k)YQ_ߗϿmo>eG)ojk27Eu]Н.tZ5VNc连˼ Af[:eV-ص;Ǿtu{na~EbL ̺l¦myl?8"gU?//@8\IU>1t^#[3.ߔ-=5J6< df6o<? I=>EߢP@Xv? [F%bs}SOap$n* 7"|BUkްPaNv~c[ܹXqqK6oN`Yr^>sActZnV88 ZdH$F=䠣#6NH&by4(oHl@ )[]6!ڂidJ Ӯ[)FИY]#VC ^ 'X<ug|'q@;}E>>П;r~@_ `<&>y/o H}>d[U-Iq",ѳxS3/_veld 6k9w}/8ό|+yoJ_wlϹ|->=Shp{.FI߾onUS<q삆0@V,"_.T˲gu7kZy~Ӛk:\;wKWo.ص}}60/drҞm{~>?>췓w?|[r<#`K7~!Np k%g"BpqC]W (A(GbK2qK3uYpݲ}A'?wid(2Ԃ@cRZcqmeu@XuYOf*.`*S̖lH{0u%;Ǭg"lOI&o>⤗Ȱ0 q0pvÒ鄵^ye1AG35Y1,ҖHKmڰcnV_ᑀ$$COz7CK +Ljτ!E [ aDO &0> +5 4!A[9f&EzF 6_k/\mco[{bt/4msgղݐʀ#N>D|@xr[c7̆@5Nivֶ;ݕvٲef+NcA9lۗIR:o]'DlB'K%Wl" JN(gٺCɆ'&իڹ׌ewX5G ʮg'8#;8#G&/,{$/0,#zQ]>G)á{1y9pӖx5adm sS H" :I_# yqV5`uM;qh^* ]kdv~7m/huPr$?GROe,MPj4k 9qq%'xKL E DR51~e9qg ǥGktJj ^bcш̚Z)\8;kGKMEKnl5umD oT}L2N6셀3}@w]ֳ<"ߟ`@{r 0 I >ខxH3s6ؗ gYi3,/2句vvϺY<@{@w"Xf[̌$,.ݹfO޼m;w5Ddl5qfĩ[v%<#f*#:B(-9)fD^r68pIc!i]Ó )>h<?._﷗E^zu{UaD3,XXFy ̴SP\udFe$Gfg}!H,>B2E\P-0UammfXKWv~$B(ۯg23<k|CJt4zg"d=e*m}[N~wϿ~˟9 ]{ sJ6lI!M>lnzFmPR@A(,"Я5,0۫gtOEWF2'z,*@&bُ׮P8luZeQ$/k5[ rE@ܿ-gB%LqE.BdXeUteLD  A[H~~GGq&yėp]K8kvنҋy' Ԭ{<{~[;GE +2UTldn?zAѕYȋ}(^ X0i_|̖e$%i]gV$YXwno=>훧݇$;yj"V~/S6-q9[uAC32m=ʉ d$ѢuO$l@`2]JQ7.ڐQ!31k]k2ApkXOزûn„qCm^?|F=(HEXI Mi\S)b8KSzl爵zI蹓vX~L/$1/ΉUYo=ag%ٿ+ivoڿ'~F_Y+AOæ?id,?y&ND^ SDD K/+-;0"6$Lvip>{]D&\J8`$,[@pbن]q]V}k9x gV/溮eQt>Paf{YH xyOCpl!d@}|g(N ;_.'bMX2.ɼ{C]흴A } fpq }r>z UsVw=xJYufx֐_%)pk/RKƊ ՠ8ᠶ隍S"qĴ4:>d. r}.ؤ%,>J+;)g 8M}{ϖgu^x x/c׼ >1?Fy&>3¾"#ݮ69:oԊ2P>ٷ-ӯm_7,GV 0mr1Xw< O!G]Δ\&dCV!mYnH/)<8f}r}NW{,l=1mC"~z=Dl D`|I%-WG՚MˉXL ( DA$c H?3pO@q- ýb]g p^0S(Ő#x00&@@nEl}" @2nRYE22ʳ+ЫDnlv.h¬KcЀ6o3- |JqFraEEB.it4;3P]ޱ w{M:q=Vo(3 @jEdk#nیz}-G|XF,>DyDR}ݿcdfzG[$KnEZ.#[ -y!- Ԁ,TФ0|u )uL[vA&E:~7Y#qF dED"R 0Zɚ; ZK:!&K[jwofu ܚoQ̂}Ͽ?o{QY!3 ("PH3NR%!(i>3#Q_88+z]Ʉ@"E}o8+pKd`L: h\"&R!?,'}y¹PZBAXq}OtnbreEM/S @LMYl"r[.(U]+D=%F|d޸f+A2l]qGf % yIu59<t@^" M䚺Q{Nt)Cm1إ0kR}L0%ӂpzTJYn(_:E;>Zwht5ui.#,X@.)I7]V6䟎k{Zn&e"/Q٨5W_r(4{͏h_^^}Ut?s_b\YLj4=K 07 E 4{1=7(pF|fAL*ONjMH!|P8PA Y|t@?2^)Hu+/ W-Zs˙rwo#~jT{"  !),0qlc&Ңq-XlwkOL 26vG˾IT,؍q0# 8{r6, T4nϬZOg,W4+\H(-m&C\mizHi"J+a^re7KymsKuu { L-@ܙ̺@@r 1}zPֶ貊n ѻ߲$-G"ӝM8X( 1!ᓼεX61Yl1Ԛz]5VyIa<2 ٓ-mk9_!9 XHK7mn?ymiM-o,ݫ112'1I79}?l~YDr ؿkW.߰Ͼ~^>,Oq>i:|egCߙ]F( cAvl|"gLE@SE|$0dT~و3 N"71k%}ٹApfA9/}"Xe􃏍ŚXNՅ}{?}#a%lݕ% BɁȑ !dZzF%c;MӚ]Qj%KW/^ kW6\t7UdFx4mz)"h$K]n҈`#YEI6eGD" u+V\$Kö${KJX`B:06~܀ -` U{f!<ș'#~>L1[t}Avgo'큁vrkuL3\Q.ٝ?]rXBXփw 6P/~뇌"ϳW|FhF~}fEa)_=n>5z,lјĝ_!֙sOtܶ><2gAϔգ'~ ?<%Ҍe}wjgp>/f_x.ru>4&Cg ޗs?ޗ}Yۅ|@y~@[;&֮9$n {`ild V>iS'`M2zȉ3`p`2A@`Xڎ-mmCRǍO+-Kzd +YTƺFD "#c3[bhZG@dĆtCGD]@&, X֞ 3H &gurA)EB 3A@T]Rd8lHF0à;`pA`#(Cu#y iݬ~_fA– V$nqH9"?Xr$H%3n\NpU`}_`OģMp }^d LSi`i2 -ސX0wf[j-ƶ1PH}WQ:\e@X!aIHάpș7緬,G83zCC 'G5YDN\(ړ-v%;w]tr3YCYeu s2dNitH#*RklkK`{r2Y" xfh>8eM l)qfo(f*46>^`B*3RHEX $R @hn#гlsۇ7?j UTӻk_B`CĀzEt]:L@ nX={dơB1/l5Y6("1<JFbONJ,{|Q$!mٺnh%K.,EUD.gx*lXaFa+ J^+GAyH E $׋|:nڃ|A0&h#ҀS@5 = "I(SŹuۻ}O\v{v}`Y@1 ,Ho&k.`ʸaT9;=ٰ²q$c+" So`/EyXBxsұ+Wl`2VɸeqXz3?oHLL74*{V nG$?+=wgg pt,."~?UdR|\:?Žj#7$HS%KHq?N5Nb;cJ?bgq~H";ǫ6/{?_ӳHg2~_w~+/, ЍOsY``MpTW!GlK Z"xU~mJsK{~H?.&,}54jt OX|ZD_v;WؚH-:]ڲ|}*)꽊Sq˖ N#"! 6sX=\ӹ _?˰ ȇC%R#2~FB I@G$OCZtwޣ~&9Y,Hr+.@ddh DuۿԶewƌܿo/;oC t< '{6{rn FD5+O=2oՆ[Ѻ<Gٲ E+84G u5=79.Thaq~Rז2ݔ Q2H&ʥ..us™;M0jjπ*-,(O}Ft"ɪl{uهCKB``G2&eTxxN΂lt@ (H©JzOφ#=d;7X~i\@,>oQ/YM?+?~OkVWHKY Qq䧶d;S5wY±'][3929\3+n%bSv5]3K0K0@a2d߯X8[t\>,$?/YXu>2UpY麅3E,%6<oGwO2(^=oEdߋ{` z_bl3+yywkpsʦ% ߃;w>N|77:}Jp I,^<:CKR*[Q8H-%\NN2&dXڝ5z+0h'T02qR~^c_:+zz6\骞M՞^˕)TK\vgL&ْFt/\ 8yپpx9P3Ϗs3|<<Rρۿqծz@nB"Gq|r6nXzNeGwL2iAB͐(Ez3kn[D"4-|H}!}2gֻl9q peNrY a5:$w-1 g&ƂHCVkZkejt]ek5kK$"!rK[_Y^ ]_)P@F0[1Ʉ'eCh`9A\'zM0f?cemEP hL2; 60#o02bh8=LiPu]wa~oցu}ywWrUǴ "$BH@F^NOw&,M#(-RH,ҢHɬ?̮M_Hc,i tGչcE%ڡ$%ҌE" r,93S㤯 T^k7[oE"655f (kap&ڎɉ=x ICw |9fKe䐢O@ekflPҟ1@ҿyDe )1!p!0؟Ը0f'B" BPxݏ=\vC+ P'֕-cOe/{ J_N!.QdYizn۞|cG2-J_Kc<HƣȹO5@ҐP&9Mp>n{^~ݠ}Ig &#n-^fC{e[ش PZٲJk6lqkǚAҩ%ϖ@q+`D&SN)dY \,@_^Cp@(iDE^bH ¹!AĶsz_ ˚1Gٕ9T؎i'wKkv;B53}He7Bl˦!kcGS:չ1kl .4YTτI\v-6OlWKġom!픲)~f9KlWzA{e{5^߲Mr)M'RDCκG'^1[^ұ5DO>:1ĿF3]Jݡ茖%IIGb]3aEDz! =䌎Ⱦ@*x Bʤ-Dceh_#/yR>1"7__}Xz~7=ВCih2$KF12-6WJt/9]5N`\:.d:oCS1كMLEJ_|j^|޸e]C18f} $# ñ%EDki n,[.˕EI;)8I ̲ §e@dD1$ >=>86}=$A>| ёlr5ӲAAςCٞ}圔B>"r,9]ܑ.ɟ/ȯʿ|<Oת{-9_\o--ًy=[ըt4$]]r7C=OĄqխ=W#єA \[6.lӸER<U/Z4X7Wet?Ecݢ%Y둎]٫7WµNxILN&) ;)Aɜ8ɚ+藾Fi.+ʠ^χ(H7>%Z|crZRpbeuQEl76ߓK)pIn`4d[ϛAQ,@0㳓S" !9PEʬz&{Kgz6+ȥV-mO~ӿz|0"4~m!F.@, 3kwmaC᭒YU@=VFǓy.M߸eb}zCW:gxҮ YP҆TȮEl yH4/޼y[6@~\JfzfWma[$Uz^3<A>4{N'} t'w|?{'R}Rg 7vjk ~_vwg1w׮e 9̊#_z_Hg/׸LUVjd e\ %ս6,)1$WUr%̥Sg_ @9Xnotۍ>& 喥smɅ(uK!MSfݴ:kѺ] d:*؍д]̻_&{gۅc|}$=s[ AC~s|ޏA>׮c9`ztyݷRisu;9޲OnD58!ڲjEX]8rM΁k*Rh-Z2Ke]gDhaaA;wr]ao\ׯ_+]r#^ RL]HHO;՜-[Zjl*m-uXsՠ0q&"\oD,oo " ;h j;LX?3 f%\:>K <yN:F!7gϮ{F XsȴֵnI _;Vro! 4%p)L;I#z-Ț_ff!i B6C{Muzbdx<+mpilVmؕw&GUI @@ gJd Rd\'ʕHQ@ʒ9 n 'u9h^"āv3/[}ܓ%xM@m0IV<3 {dS_g$;% S_t CLqw&12y[_b8f krVu\oٽOe?> >+#?U' gKCq5cV;A ]3*5-)@!¥>ҥ썮NBwmpB 6 i!wNآ^zeOw\ pVRN tUΣ`SUIw̠ҖdCFZRX}uV$n&@g=%P0- @0l@e0c.( 0}[av'=P8۠ RE 4̯[email protected]KV3ʢK &-d%yiGyfme4Ceڻ=8jf"G!K`JfQ!p!Аusy_Do*,s\И5Kg,_o-5)D$oѼ<E2yj;YنlӺL:jxM qH֥:?F]ƒ>Mn H=S[@^38Y"Ϭ>_=\>ʊ̜G6#67c+k[O~`?]#9t>$c4`DJXxV\AVcm0}ؼ%UK6*&10lWjWa]i^f^f;{ݲ6NM F c6+3<ײ767gjղ՚+ԫɘ+$$]wBt?GW9:q\:2! }  6\O[-l$D- &`E*HN@>3%}&Z['|Dm+5Sxҡ ˠ"B)|>~}/J4Ft}J\ t?Ȍ7we"ww@~,q+WE 0^]0pBʞ|=:o]kƱEjKcTsY&s qVÐ-985TFcdQd(]͋S,HőxUAyDC]?}ϧ">(t B_z0.7J"ACQm#E=lw^=+פ(8 q~7oYvU~u{oޡ5j -'wfeGcR4?O47ENd{E"VE }d?QaׯݰDff V.,Z,1/x^;w^{WlB׈xAh. Xخ%v9騈ޠ6oj^v +i~tJr`gaE>$ᬗA;)cI>C,56է}>~6l|~1}u}ua}M+ҩMl ~OE~g0{K'\XI-gwb-l_y`_#+8 kjlnF,S+n+)\JAim{V]{$@cĒ]̎ZytbͥphWpV8l7(_&! ʻ%A[/;zŏ?6x3 {g){&0ocl~x;`k a1:<ek.sy>W{?4HG$X@}k6hiXDIҹY:q~Q+`^.9q=IhԆ&ǬcϮNi_l/_<`*>qE=4d#2(dte63,n}ezx"U8%io12Ds8ȡR;>@4(<@7wi3 DV 3 ٬BC`OƚM_k/EAgXMtfŪK붸6ljY Դeg]YQG|O 3;=Z"ΐo ^ݿ+{|ؖ6H4~I$Ağ@i {]+o ̈ZvReH Pf2*C>f6Yun 32R Hg{1?sKsE7v5_ݟiҾYqrӁt)\;,'c #:ұ) [j!.Ȣ > @0D35} aiؔbiYjE҂[疟䁝?}w?%uK+e]-tI (<:%ڵ yN${<b{l*ڵ>ɹv{>U+ʵn{J}jz^7,F[ru ݃6ϹN!Z1{A_|ElJӭAώde z-A03@2>Dtiňt {-XHOYFd#f(;wL5؄G)Odʛ({4 B̂RE`m,*aW6)7UE^V zP2 u$N@,$:Όx˘QpkGEl{';OPk5: |΄1ҩ5٥Q}] ?̺%ƴʱ_j2jSIӪMKWER3.6*dHw+/1sҾ٥v3M2ACFWRADd|YwF]9`@_:o">"LiZ?KlvpIW_ dȏ˗KOi,;%ul雏֝w޵" AV+!_wd5ْ_4{~#y~Ȥ{DzzN$3/]+7UWoEvI+cC?X]Cvm81g_n骤qtpIK,ݓA9gV? 羽ߨhE>fC,% IH~XC~[;Ҙ9r Yc` ~s0j` A[}jm~hyN>sfwE4V͋$ $Mc>8&"ř1D5>dED& %aق @Vm(x-[[怼&7i mk|,M@4+&e8Yn}I>-B aŊ ݇EKM=s  8l`<2vzxBn,5"nS}2ĈLDㅴ -4*?cgy齞HЯ@(1'?4N`!CG4@ i+Cڧ1bXE_Xf2a5aCvOn᭛m7ܳGo>|}/~`4&_FxVjh[cpWvSxG$'N+UKą[4^* /I1Jkv^tվxᲽr庽zrC.Lon{mx^/ >HR)ᗦ] ^ .5gK53{"KF ׎{†xB>?#0>6<OL [hjEEctbicME9~^ľ&Xl< RᙵfFܓ^1[\'g{Ȟ m8U=_OnٽNmuu4d㶄7Yޑ`% VBrK Bc7'dW˜FgsBDB>_{2n  a[RwO$.KJzNCi٩l$\>. f^p$g~,*"<#|w^~ ߏs. C.X 4Ʊm/l޶>zj_v Iqi8*zMhr_anmTȰL Es""#ϕrLddܺGcdn ڵa/c5c#iƬO/~}D.P.fqavɄ4]}0 @@g%C Є0h8"q~. r@)| O:35DHd s(VuD>#&tFD0 HIW2"8ZQƚe#iwYmV\J/0&OKǧimY!S&:v,`艢K +d'vhN$;9s)3;fRg"ƚ"w͛'f])N֬onZe~jr5ge?1#=4i=C.g4lCѼ U9<@cy,2 i9ˠ!\6t'aF/>DKƑԙ܂ e#Z+q%rR2y `08K#! HZiLc;"Xߔ=XŝuM?ꚀjF 'JN,xjɅ[++!L~];@b=W7wMU/.Gl vJcEge~2"1%688 rE_9~ԡi `ju-P l +BQҽ@]w=F+IW+d'y@#ؾ7Ô=Mi YXkdm}^w<: jf9D<!yͬ.&~ho\[t8Vv`;(B4{%A4z|BM!;3kV[VX9{hwm 9rѤٷA1܌L!1YpԠ)Ψs]]k e +]]5ϫ}vc.N YuФw5r$qg+ʱ\S怡vlg$>=t,yEJ1rž-Xss[aٖ|hW?޾Hžed iD4ExUJtݹ?ʧ$#v.u*%뛜 @8Dή)XGdںEתt[_a tHhB"e\m4^BsE/ *ݟ>Ouw"@ $C#"c |ݓ)/!əm{">a%$hC)sN@r޺~O"n9VJt \E:9cɖ~GvWmew^vEmr xI_-ؓD%")" Hw)ٜGR)alVio};9> }}6l`qzENlݍK%7HصqaFĘtENGc56(ݧ+{jHׂkvg.Gu*1 @_5GϰAt݋v~Lft#2dG.x^5l V\`$zLO!.~O>e }0\jYucÚ6#bo>GO~g V<IKn8CC|Uln_nf-Q[TC9>-;(-mdƣ?)ePخԔuF9Ogl"/"0`RiJtI.˒ |[Y~PAS/W1I_+C CO ۉ"=لx ՓE/~&e%jnYWy_}Od{چ+׬o|Ŭ0@Ͱ;?sN Ϝ,Odc~~]_C;{b[U֬l~ x֥_Mە̳T]DidF't՝*U[=:pӔtڰrc^6j/wK&u^O؅XC\X& >.ֿ7BϒgI'rg1~,?voo_,HFr,8'*V>[:qoi?}joAKIe%g1fݧwmn¬ٖOEm(<eVo42#"`1Ri̭#FiOe4ٗ9Y q1kV^bVdEY6mP[VC*tQ D]@ȁk;#׾{̨dLF!zʀB#R J:c>]nQf(<]ѻ%]n/EPn?j~tj K(6DVopʭkJ`AH搀WfGEIoZc^\@{:/ҋIA\,8`svrj+"s2ؐZ4Q0PZԀEYDF ]rҋGc׮_NL`n߰K]]Mv}x:BOmMfUY:$"lѹXDf P(JM };n[\Af +p'S{0H7{O ϘL 7m G`D[O!X!C{Fcww#v;u?pdeK؃V6Rcb]aswv+-# 1H! BTBe?7 gIT]/#ǔ,[4+Imj?gQyXN/1ےh3ѰD.·*GSӖ_ma=\C{Z߽d۷@ Ĭ;06BJR}пn?0 k-HQ@&f#=]$z3+H=,,+Zhآ}TFC=ew=k= NhJ7${i0@ۜ[>.(x!8&SzFBRŢ-꙲EEDA,|ThV~&'@}[z2)xk>w>u7ۿ}nt~mMqnFq5PtK> Do)Btg|0p3 E ||/%`}:q/*cl/}4_`m-VfY}y~O}eIvqGFvYY12$2KR8ZǟfD6?$ILaqn޶h JaS_w0AH̚tNb23.cdL6%V^.^;Y`qh읾XK y=Bދ /2N=z=z&d%N@ !CpPoox:3v#Ұ>ZPŮS[_u:5"[.k+{B}v$Wp[1۹ul7=WD}݋Apg7E+.&~e`*= +%e,LӅeu7e2YCIN*.}t=d R Pg?p|VN v^ŋ=soeyɮv إ>;l SnU2Nytޕgn:g<Ǯqt zwdp"+J&`$ g4l@&/҂,Hɮ>miea"7g߳OSBs5k$%7-T9u_|[;cTe#9Gqxz"K3.7Exs?OJgl^ǛµՊ̮-+4DE&+TGz硋  ~zb!yAH= 28yc]G.x&x)>]|4fB&k]ӵ kGOz=<ga*pcA{ r$+a3ad\NJ&2yx:}tVd7c㳺M7 kH6Qx‰yeWF3.ڿg3/l=45}# :Nҟ\t^_}`xcsyq~^s1{<gɽm/wh<? 3^u]tdڿeyhՅ[Xwg~onf2@y"`v J@' muvk=ơ*p5z̎C!My(2ssv]6}f[I1aH?ITºG\dla[6# E[^[暜[YFVD dP8a@J f#VgD|ZtM.[@`L]4 dMIxޛ^t3aDE nٴ $}ONX >k%U_Y*K&JaIʖv| ` I\`Vv4 Ҍ9 HߢA'٤jaqc?8w޾c{{~ >xP/̧LQZҕϱ2%n3pwKMI7&N[ATLڲE=jxTCik^)w$%\Yzsi0 5)@͎na A%B9 Ps%:'u}0IC&ה30"4'.@dҏ9~Λ _Yv;utEҿ-rwmkeLϭڼ؏߳`YZ0`2ƾ+sci9{GsudC@誮"&޶piV PQ.CDÌߘXOR99=jڥ)y}"kXIsoީlMYPCJ _(Ya|2J t2? M> >f{qRtsʸtbG4{VTzقL/&/,AAb>l/=4@9 DIûط~];y|Wx `f* h .*=: PcBlafMf5~%)IJktUĨfgw߲ez:qWjit6 Uúx%t {J .Su ?;xtO| .)=/4d l٦ "X(yaN,zG6vlP@J@{{~=[?<ֵIoAcW<"3B\wII;PlYcƆƞ춀ۼg_( R.{>И׽d扙.uoDDo^KK=vmH~bWGR",Oxa[jme[-eF^o_$;"=g4(1 =]¦s kLSjHV`r2C c}Hz$]zݭ~Nc]P1x?`Ax98ѸL&l$:eo}C4 FdS Gߕ9 Ҳ)mSOJTvC{޿k!A/F_=|ߟf Rk.EX{LzO%wv$شI0NE"{E:&v}<'Rpz?"[Cu Mk1zAauF|ڃ.ȧH+,xh֭mAXi恕5Vvnۃ޳?\zlAXcEzkfӧ@'@х<C=K-[;gW-?؜n[nty"ʅDF( (er92ki;7IɄ]K^Jv-Tҹ>ȚDi*KwZ9ĺY^/GȢJ @?"܋|g|?_J#[=/Nul#SIiٛ~&cI;5{$E"}}@`W~}ßwGy{}F|Hϡe/yqO 2!MMLZjX#X*. YvGȗ<š䪞0i^#vz WG3”yeJ.xn!A ~=O[LJ?F0څq? ;ڥ}voo_,369L5VkcO sOwj{w;FʖKh`6A<eHʨlǶˎ햄Avߐ :o9G,[~kHcuM]QDƺY岜R.mb՚ i02>`?M$̄ ưΏ>(h pHMV϶8w@@@A gqAO(IJR~, ۠_JLvkqɥPGXu+J$3d%=~F{}Ȋ# s ^@M R:;={=\`ǁ3iz qb" GrNAJk'7S6v9ȴ#΂   r&(7Kj 25uaaYR@DKImsF]¹):gs+q(,J0&A L&d]<@gA0.NwO[v뾟 x`v1/[PO޶bvaǑR9v݃ #ȿ:&1Y``{nɣYZ1*PlLdh{nn(CG?ao9XauxvESKD@nBNQcƤÒƑt]3xѳv:wIf. WGf\t| OGx 'fNtק=% Bƣ3o'gV ۮX\`XpMHEEeiۊs"-EY+Tgl];Chтƨl*Xe I ^ah9 (>)[vCB:^3{?anCy <ZQٸq=Tfw{_y *$ɾ ( '[1iSǧy2w0x>Htϸ]xN^|gu :+l=<$x^|ߋti.?ڳRtU(r6WN?7vSú')"#`#f97߳w}re~eQ/mi <巵n(o٨١=gi 8^rQc@TR%pm<l|XfL m"!c-~<IS-B|n]KV3du$1z?:@pً._1qғdRU&SwV>-x!Da$q٠@//| Ln߶sWKF ɚtHJ Jm^klq>HBy$Pε%-6mH;ֻlp{Ы#syӮ 5A{Ê+={$tLe6g?&@XqHLP2ŊAEf ؗA>zOJeϿ{>X%3^Ȱe&32@.X&m𽐨H+p2 yba7|d+/mX?<~Џ)V'P "dN[rN~YkҳEKY'I-ɆCkonC1?%D4$;>M{>_Y)?Y ՈxQad~2s:'00 O'd8Ƞ'Ap-Bge~6mg3$BDѓy<?pn5srR<Lܹoo\Ni+UdtXy}/ù{y8ƊA4eU"ۆ{Oߵ|hk;{6jWһMg#! ]TBO%=Wʭb2(<S)ol؝>S6!}6Pl}qp'~{ y a3 Mt_^}Ѐ϶|voo_,H)$u8hG*-+0CCik'@!j5WB!U˖Id4*y{ps?<4z4_a&l뱶6Cz@/Arn6yћ[2 2אz".qUjcrXԹq$cϭ \#5:GuDq/D ;ˎp B\C?%d @@*G ' hyG(Cj k--e%Khbeb A Ʋb 2pYε[}Wm@D#@ 0֕+7,bhPb[9nIǯ6{Ղspb(tcV뀠ˁcadbJ4鍱,ˈQ q3r9{GxtWׁ1}&Z p/k sdo -H0uD[we xw2 nYM7]3>=k?[%cRúi kzs T36N0E0*s=Y\ڤNX &X5قofv>H3 5CQ.eIK/}Ht_&@4 m1,ˉEu58s|w/ x,Ο⧟Je~l?Ƙ> g5]'H59k=@$Ya,[(ro60=cσ!`PΩOq@tqI%=S)d&c#])ݘP Kݲb%! 灶@0׋ 08$N\qIش')7-][@KD) BJbIJDXR(> A;i?~=^$yA[Ev }`| #m﷋,"9p:S}Ԧ6 ѭ/?Xin]pE'Q;%ݤqkvnR9W4,4ksvS״} ˦ke#Ao|5OװH%89\z1y1[L[/C4&5*s*9DU`ʧ$lEz2n&%g P{=Ǟ* @3׳%@@`!02)M%x/H>JD"i+;mtbEW@ C> 7*G4f]O5ϺG,IZDY]YGS}y^}t_t}H68UwAN2'Ҧl=؋nS­e5sºY @+U;jb =?uG>a߫i/C=>%AAH n@D]0tzv߲G65kLfj=ݻgU'by{ We7# u\vt0HevOj ;" ĚM!—,)b8yG@Z!dՈ3i Q?+ȼqlτzP!DĊ|J2`u]G(* 3G <Yq}r3O=tL<aG\;y.cѽmr}KȪ<vwBcr)VwP~؇}c| ?}>*?',x8f7Ɋݐ͸>,Kq?N6\7 }LULnV%y]oNb,o[8t ?/>H`& D3^ۜ^p͜w|`g}v<|7e|~x;`MGd0MɱKƉS'wKd.! HXcvٷcL;$SV-7"&4o0qtdLqt2%2 pp3!8 FDĥBSC҅i+f\2A3PV _fs#}R`%D@]Wjd.AP[frȮG! gp ̓YvMY$yLѢMhGu'[E9V hs+-7(0-pSvr` {"ɱrFτ{w%ky DBQDb =v ޻5 7gXKРq |nmnmI,[:LeILƄ&i.9np_{C޹Y뼃 UgRq;ASܣKI%gdݽ} ' `B[_38v;LLܬ 3ˊ쟐wg?\qQW:"k+]q!*0QnKt[ͧ}'9:o{M `GzJug-wlbZ /  )X!UY@ZxWD!-"C_ (-٦KЁr K@">?N?;ks%a2A u}a\fH0.dpA-akZX8Wºh('ʹw3/]񄳑n=_?yu]4 P:D&v"UeoV7lpkuf|T:SN=Mk{:%45 wQ ڌ|tc][o+AG\NΩmJLAE[m=>b }lcϿy?y 9oBiy;.ZY?/grU7Y ˥#zЎn `[jCDVzWؓo"p(_.`\:o߰A JFWț!8@o (OiKY +L1chZEieSLDL% Kidۮ^H2KRgK׏?o#oNJ\6@ R}v>= ){]nIg'5":(2q [8H2+.ŧ nbsc+{,!0u vK{=ҋNHǤ_B vAFwowDNЕbxӞ8j{GC',8 &G}7BK633Q;1<Wy9^\$"^vzFq?{<:w::.D8[/7HiBIqpbХѣ'm, dᗟO#+J6;Z/, / YrLeom׽ Uhtq>,tz3,y!`vϰ@NpVl%Mk"/(}{`'>(హ}'>^lC0 n#QN,)H,<? v}<$ȱo'3HrL? (2 %olξ5WdoT"4OSۯdC: @?Ùο"Rx\bC+-!}.O}DoCW7k 2*|@t/3as@Kg7VxhwخqוIS6jEmkS)@Ö5Cf%mHӠ[B#Jw Q] bf~޾wd'MV٧ÿn9"nd|x5Ș'Y*ȀPͶ=H:H%\Rr%Vk[.n=G`/^xO|J;N96?G!ny)8O-51,A->GޗLOȡKHe"G8\풂Ȭ[?ƒ!SUZ2Bޱk}ry΋8@̎9+H&~Xu}&+1@W\F%[Gvx RRMAγ8'+t R.Ipmph"a]cvGlxd:F,J`4.!y&mp}n)='mn={<K 3$0>/\=w2VA^ cC$pV$ (pgAp{\s@Ffip2V'6-g) ?y`/]49"+#.'@jaX:D-c* ,If4S'o>{om=;9ھt2BrG$#;|Ci@䡎1iOkܑQDvIv@aRLCBe^(+PNҭ"沱< %$pf3:c=䮤Dy;go>/D!d0úvfS 4&p0*='ݿtg*gI9ױߺo9]C$a|Ş~[/YyV O?Z2 vUّ},Kk|>¦ݹo't|*V߾k݇69DϩGGr}N,@51H ]KW5uaʟ1f[.0^Ƥ{m3`E4dO}캷!Ŀ~^ho L VA^ =C=?u3Wf/v)Oߵ,Utiz ˮ9&m$Ƨ e{}{]-=9 (Nw4^dKvFX؟OmBb {,i<.d!} gVrB)g87VlHy+4-'Lg EXpt/qp0ƴE8㽳Qyqznd=xؐ@&I!;@^iqP$2=*=Hlz'bUu]e 7o?eZLH'4D'՗L:!õMGuMnaWϛ_am70nv۶+_#b3{2Du/xc<gWGvm4|*nBW'+]Wo ؗs9;c4naא> Ȋ P{FDx>.{F/(h?s r g]#w5$=P 8fw2$`B&=fp$haٯ ?\sC݉ Dt\Vgvc&j+kug:]1w]yړ%DžbHtnJdH,.L\3<OJyCxa? ?>ǟ?Gǿϵ}/gY}cgxg3G'BT ͻVjއ6~`E4)'rH0s0@n_W,|WirQ=&evnޱ[llZiUgMc}}B (A?nIƓv^/^js3"{qV#[^;?v y _O|@Eǟp~gΖ߆<voo__@mfkX捴Dx<ګ.'][~C8 .2d<:OPj3"75]tL'@0 { g5ᵀ M aI%m|dkoKq8p'RTB?gQMI@-A@{?D]p@q,.߃!HRI*5 @&t3N`r,0dhhF'@$5(<B WWgmmi:{>~s`\JSvC.]#?9P#!$3es+ֲ-hFw ) )@5rޤϑ2'KQd:E P9WH<sN,gQ]=vӮZx5mZ0^$1K+lYOJUI"H<٠> B@e H|(24 lun<HL@O8uL?GitcD8@kX!pgCI_d`//.cvIRJ{ڟYdndⱐ=zwl}L_5`t PVw+}t_L$W$!H)!'" )pG7ko=cj&2e'] 3.36`<d?(Aq8u@A=Hp{o-si8@M01E2Ba֭G9dխt=ō==u; ٤]YiQt^<Mg˅tv|Lɗ+cg ;l[!g0]-~I<qz&5 ^NhRj_>b/]/]/uVOkŖƍ":2{RF o63"PD sEe߳h2>i&`ů:'"`ݥI-&-7-X:oew+A<َH"V5}HǦ[$Q?A &H?&0懲34sGz~.,}ah[_o2dHyx>X^Bfl{ ދ8G p]F :F!a)]kpk'6!;(TCϿ)d<=[H@_8ʉUVnZiM2 H5v 97qJ@/.;=gU2g0Np<`Yl/:n%P%$ $!•e7:X̆R'YcaޕT0;/;}Ǡdg}tٓ{-vmH#Axqf3|~J$(,,7ڴ1ټ|?%D'?=ciw\8S~A_ʐgOAtW5WdC+s{{vË K7<$m ԰d(e<< ݨk;^d~;!hVd3͋4!0!Op(nRr$]/l~' O{R鉻 c?^v^f!D7?8=M;Ҹ흌ږ-llx4!\ͣS˗d[ֳw1?TTM&IcնvLoMmm[Xp='_팒4cA [ڹ?_ٹ}ʐ}}jEߪ=c9IK{y1o<ϒ#\ENvE? ]W &x]A@|}a='G(?57߷ +dT\s3${rDYvr; )6_Fj\  8OE]ARP4<\'RI1@P9\2<M%}'bڦ%a$P3"2}=222rϬ}/6H` AR$[DZl[͘i FwW>ϹFDVe Y~v9Ԓ#XU`p0s: X8Fϡp5 KXYݧ|NHGw)mRo4vpBY6|c߄';7?pQBTɕ0.|BߎEJGaJm ʁy{c0qHGnX ka|ƺ+QS"(8)1!9xŒz}* /3{jpU𤭶-uK (r*"GD>FLpc̘1N#H нl˅!V K쿮 aw S9Dx{- pbMep]ַcʹN]S+wߔ9?7?6IRA(p$ eO}hyלSR~=<~U+?$C7) gjB9.ESն}* D?BM8!a8Pm+atv>̈WDR< -ޓ$݋NS!@P@FO}$ܓ* .^jȸ ?M$us#KS]Y&o0z{' [U蝘c(زFGspTf[ʐ!O ]#a`?;o"+^qTRnVo"dĊd® _")Y;a&m.s )'# \ S+eE=U]CPj"Ms=ps@cHc]/ows7^iZo?%K'Yp'̪/L'P0(137-z\fA@)Rv%K`WB#4c:AL [}AG$f־ɣE g#NU:l-F;`Q{<u Ky-̼g?SϘq̀h4 16Np`mDOύ081z$3?Ct_q0jS[W`#u+ ,N#cz#Sop,LL/!uMv<p 9n;K/[ۯW,նwLg K_6-"q*vPt8(5⑑OŸuDƦzjlCST=)2l?:qJvANwhu?2$}?0f_Yu[?џy} LQ_ؑ/`xaaqX{_>Ae˫Dt Dy:*钶ң`+dx{t`rc[<iw#i'w&stf9̯lͽ0N^j n濧!];׍>?oS4^KB S;:6U|0#F v6{LN_0k1 -N;6S'ώt{<;3ŵ0(?:'ÈIv]Ļwȳ^]AV8(W?ZK뜞 adВh_m`4isDKmNHTQQ͓\Ӏ)p>3; YluqAx7a6oVW_|!wpe}4R[@BUX Q1+!#76lZݢs2@n\(%6FFΈ`g14YБEX-w\{--}sLoB/ Ÿv:s:ϱ0qF9~JqtD>qm3}Lzm(z0pcνECFMn{j)ܿ{zGö@ؐ5'9"M R>"X`Oy<()P`ZƊ pX$<^l +D0,^VnK'kRՖWl!;>epCh00# :HP.G<8!5D Va 0) 煾#6%H5K{Nps (s螔8a* 6v5H#Qژ p/Nvp_g[4Ux)s;m톉vyoþ8E" çtͮ#}캅 c0f?% RUn2V^SR&BܿnYqjĝ1Pu0㰰Ţ ĈEG-{<-(Q0ABQA߇G#] Rv> K1#ZP^P0Q6,pE8ħ+lnhFE<}Ccwp4~0.αY}'zyrV"_VZ#|PFa0-Zm鑡>01GGCĄiM92D8ѰC'0w/,> +/`N?+^KR:٢)>lu"]SΡy xQlAKq-Q.n(8<Zm1B}C; Ej*}@OnܗV/H~\ya8{'~9l.nU)d w-*aR~\jրmE[ӳ{pxuēMT`^D,; uHz,F&*d}t4-~!#<FU0#%]@(DFäðq` /rM2'jaߝsZts$+ 4.ӴN^lْ/}o1nPC6^Ȧ(Z6EMEn> LG"_4:$ _zF_z>@NWY $nODn"zDlB,*GdShqxB?<F&ؼxŠN\vnXۑ@ȶɺͰve<,堾`ڟ/R[l;*Ð=̬شnum]ozOsz_l ]:*]WQ{jռ[C/by2:*" صg/ޣqKF"z˒G6~Mt'zz03<xk 2.ai tv ۯ/(d.kYDEqĴE cA:F/S|}8p,>*G \O̯e EлrC:g4vC=i~餑Ǎ>78X\|?xy=Oz ;K۸g  Nlܿ$acF]=qEi"i9';Wt2qjNua4 Nχ~vB-fp>}޺pL(HN$a0/  ]XгNѭ0#9?%#zڜGM;y57; m{޴/xIHS8ߙ,43,L`NpF%o޺?Vʫfh@g+/E|HDVז×_)잀0Hl0zle G7 𐽸Z*NXPqZJĎş^\ SKsavq6̮ny11$$sL;H#O4HHu4m(9 6qIJf$DcXD@qae:>nωji5H3ba`j )Q#`[آzkk:]ۓp]Ү#0Q) #F2&m:h& *c+m]^9=ܵ癇X B!# A,A0oS vP!* <bb 9S7eY;Zp8?~-|AF.[Xhon;v]{pM^ Z{56^a$i LN_˸`w7RX( OGF 7ۢH|1 wP#Zq\$t?s EP7Y5<WҒq-L}KypDe  MGS'碞߉N- q_@ߜR;أ (j7:Z_=#j@?6 } 8h-h< v]YŏW[/ai{[ 204 hbJHhhހS1}9C Jő w0'A?Nztp']VcAF/F7fW+"#7 B|O p(y%o|AE:0*;9 1o}6‹o~+[ vؗ)8DD%ɇGۮ$F+}-mnXchIt,=@zs@7[SE9ⶣ L[1hlRb۩q=+,Dc2 6^|0#Z=L])~`4HB+G?U.$ÄlKo`^bWu)?@6t pw̲mp" s].$َآR>yXёJAܙ@i*%Q+mŰ{V/X KǓ ; D™8 8x2- 떰P{GS_w=~Jo?車 ύ.GOwZ/st/x4*W( .7u?!#GF|qZ˨_u_^] k;'1Q{n7Ĉ_983—&^GǬ5@9!fY@ v?G7s`X}Rtn֨0un&gNx86-G者ЪK:imMSCˡN{p|wx;ou#̦+_ߎyG$^~x,I~XX?.v mh Q?C@}{ѡfXZ˻{aF2`T2}X<S 8 >7@þ8_N Ya!bO_X] ˽fS?*]=鳖.=u~*{Rv*HoϹO)p>࿳G 4,ߔ"p33awQ+7 HǸwd Lݰn _zM X0Ab:d8@% %db$oR8|sfa`m [ͭ0^a`ፀ1EQ0`L HiFuN1 s?:8 PU0|g2.4^_20054HZ Sֱx萂5W~%M8EEJ蒒ˬHql ĩ6J?y3ܻsܿ<8X4@mBa5ַ޸PR! sd;yH/geޙލE8Y.Gc&:3HsguB G*=: N?,;Q!qCn%=E38FÈgHbʁwj(}C0eQGCBm.mG~ڻ}p^z][ww0|~`(|5GBCsТѤ *őJ8C}Hm T NU) 6*7.X`՜?/~@<Q)QԞމ\zBvtZP;wِ>طN<<VV%ȈkSC@% [8{8p\_o mi8g)O!2n01? }cr&N̅^u=SuGN+ꃌ: p~`V|u'?8~Jx_ ^-,P8%q(!w^2b1uN" d̜ER}1Ehظdʛ\Եy)ni. x7}hҠNh21VSE 4 4J\ceitLF'NէSCg.8RQ0,^Xmͽw$%S׎/ ~?wQH n/L]_3NFKNn?=aua}Cx>{@߭YB42Šq.0d9 hRU #˒28}$du8|a*YI;pź ;p|<G}_=]Ѽ@'_?/:巵fwx& #Sara={lBF'gA`Q96BMuUU۫)08/Qpow}?[aiHF "pMH/OxuXeKv>Ү(Ϲ4DDAzx5l aQ"Зcs'G@)m4#/6-DԥDz9z7SDk}v8JWcp{.ŸٿCcb#sf#e G='ӧWeυ[᷿aQ[ Jt<@k7MN @:Y!Y44[0\힓={]: 9 gG+XNhMc@Ӝ? ,ʃ Ar9wK7PAjXrnyK._Mt'3SaKhX_[ {{{aa~5 t\EcxiN/KBWN8n=2gGKo;C}0 HHY@_uw@}MDz/''B2Dx ٲ(gZJGb)1oK#m*k})xv<O*k4YxˌG/6oc(>/9u|}`qPnH `h㸈|UCǍ-y!oqL.ab`)a V FmDbhQʥZx]RXXl&E PN3ݠmdQA31_] ? <=2`8b!,TҢC'F(D S )lelqDC *A o;:6lG尰旗°e*Y  @JΈqsmP}Lq8}V^x(ܿ}80`{z^B;( (F:D RBh " 0B/!1:r~NJa|GŜc<e7rxx "އv،63*~_txhѾ8bK`D"jC8bO<,U‚m+ S;*ԇ#( 3'~`_ŭ0,}mf-<xamkI@ʵ/#c1q’+Xpf[PNX=2k<{#?eRbo;hآg%_|OF!i a s+{x,n`^˻G'&a {[/H+hWbm-1tfNG>#E.,F30u#m 2z zO]2].qdrVa7,m)S&p ,8$Hqټ2 ce}m[fq^X0~v$GKy8ǢLGZ6C%N(`As3( R(`$GA܆Ү\1Rנ4 e~ Rv' ' 9tk]Ii87~x%-gQ{ _n++΂hh~h{F3k fdw"_xNz) K߲š̟M/G1,mɠrC;ahXt)Z<|7=$#|Thpfc" HdkXT2_׍^O݅vtխ@VvŷR(NN9S)b[炦unIG3\tnJm+ \8a֑8 ض)y;8%z~^էwf(z [a~z]֥#3:$Wĝ@޳hj1:hB-F:+͂kanNXn w>6έٺE ކӁUC[7#|quA3gy/ ],gYbZv=2!:X=,ވ\d0ܜ302/pxt4[NFFC? Vy <h(2EFz, 8!~t58FWo/{_[oZVԿԟ7 wAwm]a{;J88< V_-:`aTO܊:>utԂNd]0tA3H14ыVӭ"06<agvbJF:ot_\Kvzͯ 1=vÑcFcG/p2 %vHfZFQ+6h;86Ve^&SKaRpG~D6sk ^b+a҆)ۏͰ+{ð}VX.*~rUrg v:lş9~?}zR7nҹg??eBwhY2mF]6=0| 7Vu}&MKi?YȢ74a-]//~7,ߔ/BD-A`F~Z Ƿ0 i(F cd9GRL"`%8J#!3#D}PG Q&}`~S̮0fV7L1Zt?<oq~?clSG40#'AT c8A1 dcPހ-'J3^ 3+axzɶ[Y_ C,>6hȸfBnuKh^PgO!+bj .i1[<O{^e0QV;qЁc 1L" )!F)31DzE`a@J Q1d #Q)m"$DAA( 1& cC#>0x!nnG݋q7e9=n1Q|è41,6CGB7NR 8(V€{WX΅M)darN_&$1qF6↫k᭯|-՗," x+)HcK_6EeK Qptсa@D OG$"8 q)37m* yQ!f_0F} QBjH# 966%dH#8'9Gahơ\c!öN9b`Au]ؿFgh$޻l06B3R 1#3B@1ֻcHt¤EO[JIlMn_Meҡ{__F JA.ť IZc< 6|xTdpE7Wo:->'v3\\ zX'gAo2sg\[f7x=LWEW[are5Wao1((v*=k>|Wzq`[GFn?GHs1"ert^2OX(ƑdܺCRs*os#r&!b(%)[^s }cGΎӆ1'[{.`v {mqsd8 'gCh[rGyAb=瑆DA1+#~'#n!=F8ضwz Ls1 #v$CyKcIBѼp^.8P.wn)IDATlŌ߸nςI uwS&(#Q) )Ә+P/MZݿ+S?+L9mqͺd0q?L&wZv~#l WE#Q6"[>QC_ѫ?590#Qr S pXD>_x>̶7-By nANutck[!M3ۡu7(>ے4 B gI JX;!7t[t+adn6 u$blF:e{}Fyv'?FHw[gip'D<u-z)[Px;ҽ +RO|gvt3PPwfp ۄ/:n$|/$^+o_nba# ሰ^dUx= O+(td-1Rw pD#@2Gd0L/07zW68`qt"z3-$fk0W40YV"*Ka,`#yd]B9ʄceq>0ePXa沅olo}QSp28 A߉@u a3P]m۠kEFhJ)8h LY$1  ܎&Pr8X0VlfN~ x/p+.QPq$ gA 2J. G& xN~7N~ "":M*d#8/QLM]tL>JC7=I GCQW;^Z\ +a鐽-`rNXFE ⒄|x/}Yڍ&P}[ܱ4c Xh1݈рQ4CC0!APx; Ak'N<BFCn pcStNa[`PUNTCRg征 •sCਔ<SpBc]/p ?wF=s <o hK8j/L,$qQ*PѠs Zue>),>zlݻC>_o~wed/w$ex"Wo{aZ4>¸o#"Cs8 l:TN&t΂x.e_< y/udnt5TQm: 93`? 0EsݟIOn@u|У6^tEZCIτ}a`?\ 54&eV0)H.q-5׻'ǝ b@Szvk\}8 pJ͙SWt$@vu ᎇ:աLVd]ypbNb΃35Tw;ڕUGEȿpQ~煷l{:l!$}inɿ[{ajEڶts",o,(=(|l.M/7_R9IֽSNncX1):5 n0^?:/Wxli_ <GzUx;)y]qp,p  ]:>3p#DX<xgIGmd#+{mjIvJؼy[<p*tٕpx(m=12R|n{ǟsO^7>N<8?o3JG:'{(,!wfg5F0zw6CG~~z/~{ߔ`&6 `e4ay{7Nxb}.QsAD#QYD\`|9 !q@ W rP|kՉ0"汭{C -!!z1 Շo2qO 1 (a'F_S,c_BCG<7ʄwH0A./坅 {> A.C`i}3L·ީn ǻP_K<R $met)!攀ad3c:i9(d !*u#CKF ( :GAqPPs DU  P:bMR1.`wc] yBX8Fs^cǘ7^_:)`sDGs1`fR< W@ Ct%ψ-dHMBr|;,< ^jQw_x x^`[ n*9t}ta1޺Fغq',0e>Rw%D=l؝(=20&uzUJڊn qCG@jC$~V4thWʏB=3S -(tG$}7݇{t,\3,o};.+=R-6@*[4Q8,`"810p'?ƽ#5=s6  zcBt4Ϩ଍`2zy _iW0"yՖYc GW˨}-dPrрhp畯ȜdĔx_߄{ꦭ5Adҍ0-a|f\n,-[Fعyv!b7Y/p@FK >P{w {w2DYFE8 ,`e7Ȩa~C{ A$&hߝ~i/,zA8hmjMa?>:L,hF_A7&E!4(; 9']#$ s &Cd6[^ d& hJQ^Gek1)c@G]xN>pnht,,R4 2P/-V~-Y Vpڗ7̨O[,rzE&w^ Sètѩ01v%o`[ƩAQr'?2sc LөuLƴ; :^OtЧ>:$6:+ڢ7p8>F2&Fw2n n0w|NwsCލ]@> {a`BϽ WzBWh"޼~/\ǐEt.mٟx:eaS:SDݶi̓ex42:2)p>3; <ܟ| :=d_N< k,XQ~Zq[po?ݾ p`tn1 VuQ0bb],ThLEsc+wԾ`ec.,͇Eza `n9ٴs[@D~~ DAP4#80*zd~0BDDĈ=qb6q*59.Qh2&Y? pm-̎Ӌfx/] xW ǒ6㽎P`!285T[D'A 9 B FA<.## q^28 'dcAJwyzxwF|T2!¨Lj9 瀎 p`FHY0ɨP`z !C;r]dž"1E#1Fgёun #mY *)̌ hW}%,m]cl{3<y])320vDq1!>0&dPK8m8 SEF9<c0 FT8$P j`\1R˨ ,hlQe1a{Kz/hHѐOy|7N(m8^;kfAD;WcMn ۡR.^!/=#[@kz7*G8rmC9s^G-/>Q)pp 69zG 팅A@:=8<m/ hEe P)K(%O[*Ҫ{r|vZZW' s\}NtBsw{0' Y0 ImťpѣvPXa~QpN׳{mM@OɦváۜLL*[fN" gz&wz?8^+:8FCq,8xO#G¬ccq!p"Rg<wG< ѣpqߊ蝅Řo>ߛ4ZWe ?z9$3/] G? pڐp" SM"3[%#bTSѝ$-@ymp&'8CeA`:y5 tSŁIQ#4=&C:G0~h;~ hsT$}~-,`}+ѮNj{tC[a`r6ɟ;oHc-V k”{ᵰw^Z/Ao㸆r0 4N<5tA 5n3@4Dt޻dVG͈tEӹy gz%6Gtz9Ʋ^խsG3 wӽ.MM4Sc 3sy`<<|0&ffǕpZw?aχWxĮH#4">ڞ>ٟtN=γxC{\/M;p_u~~ ; Y@Be5򄹵ð3,!jxo A)0Bz;j6)n:!WGl/:YC(F!OǺ&1!5{S{$ >l^W%L)eg:7HΏJa5$s ':_$Hqu(Q4b΁- h<xq|X郌 3(qs jv<(o+TldGu&2\m;ato6̊<y-\H*'&03$##֚@ !D# A0 0݀k/:"~@uh. .v09z aT.]#/#!( 12q6eSAр4n< W#o:7pHdqn|Kgt΂K 蝦 }`KaPs4 ʳ6Z,3`oBzax}Y~=!a(C7~o]Y3-dwRA(7nd +δzף! >@Z46<q])6]2^ջ7EV~wwa<-; y^w*PuCa~N?HbL(Qqx=^ Dwu7hɉ?1<~)̬ntrwЏuP! B?M@QGF1q ϖ Y+ EAt I}h^׌?;^Q8$@46T F2H"fDt: $,/~:DQ t䱎Qԡ8-%)e[4#Y1ɟA~;,]oAԶx^R[~ppmڦ(kD?46µ[9!Eܝ ~(DnQhߜs+aa)j pm( <݁#a7zzՉ`2 }|ER ͘to^$] .Kt ͆k=c/~)L-.6jcFs;.vHΑ2 D/8@6'+юq0CKuH$(Ή`sנfо@]=U)t)1.M,9 N,0BC P <2HA;,!1SSi:ȸf0魛G"3:gZW045~Iw{z/2E71{hi޽ _ 㳡o|.tI'bLdkJ=t̮}>u׍B7A@u.Wth"j[I>N SYg]=M`rߏH^ 4-uh=CaCSQ RC65li_kȳy08=oٹ0>=GÃ_3]/v^? E8ʤI|ߍ~-upwó|~mgO> wpW|#2v8> Hi?Yǘ#b1:*":@ƞ9+oo;/?2c9ϑv0s=Lh+u3DAhbK}NJ [!w4+;X@D 4q8(DqQ5~TXX S_6ώ_ ! H$[8-إbQ:J96BUiL/q)}IY`@TY guP/)1V{YI(x"]ga>] w K1`fu3H 0o#T />C /=dXwD-:SuGˉ"k hqSz 0S-lʅչ9 t4QF#QI1 !xOsDx@T90ؚM`6p e0pN?:,0c((O0esU>8+`2P/aJqeRW٢Pʺ55Fz$f\XX _Ÿ_y[m4Eyan \(lYhmyK #2* U40rSnPPxHnX@hD# Kxȳm3/Xc:Y'ݪ=+~:ܰѾ4=uTH 7(F79wá_vB 6aN@` ?uR?}Ef@JW_ ó3ahz*; wΡq : %]tyu$a DVF~8BWz杷`W{.GI<7t(d00D#a4-ZCzTp3b$5* v}(e,풬1'8#rSau{-7~gct3%9+|w[aas_Ւ2|я1!Ys$tw8C#pSq/SV ǝ?u2xG(xTBJl #δ"oY Gw[o.O JG._{Q4"8n O? ɸ]Ht;'F~iNzsߩ§D演Vi#t_; رaP5ؤzy>%"tStߩ1^ofh_|8e) Vt utP-^sG%).H+pyuLWu=˔#[kAiJG`͝𥯾/wm@ݰ~-^onv[5Dm]^VYr wE?Fajt:,@ss߭oܶGl\g+ÍN(O멡J>OH[mQtF)g{rlr^5l9~Eω_\cݒ=:^~086F&&Mp{(\?ˤsy;G~\砬wuq:P uҽg)p>3; 01 Ȝ Zy֞[/G / G [Rֶn={aȶa:[2l}߽٘ :d09<0gYqѶ"R' 8 kSac-UP~@0@ah ڑ41 =9 }ų  F !2#4?Žqtkx<DJG;9/ A\]J݇ j<;".Xhm!!h[Bg5/Cަ L*-G'@Տv@Y P; tMJ6AQ+`yoJУ{}] 1W&qMfq'P*)8 8hsx@>JAΐ< (EDA4BMc": CcMBbr0yK@i g4n6ƂGw94&[4ë￧G{Q&Ew(af^z7lSɞgb*ĵHlW/ vDC]]y:#eĝE3p` -JW?b79vn13J!O)v{6Hc,qj?߆o7C9l}   L{bT ѻEߙ2=z"կ.ɠ[[;Rg`X۵EXQ G)ν=wDchSF{tGs)ݕ Oit 6 ϗxHC M'ZoZch_tM)_k*Cܝ8]l:ˀ& y=(r|<G .~7|&9hl釼B#1.18fFxO_`xG .b?-#zj; dh6,lpafA., tfNFhQ^ʦ/_t{'f{6z` hE q "Fՙ Z^ hFDqG|qӾӬ=0B9 0'$HT84$ʧ.gKëDGfWDR'w-h{l* ͪ/ BסO@60`r@0@u|w,twJ,T]}58@8Jփ"P=k8paSҵNs0g/=]@Hy?b>N80$^ FWpITUhwHu3;F%ϑs8ݶd<.IN,/?Go)ZS]I>;nKLc:_ zK[aݰtp'<~'lyh1v#iD-@rCԍK,gY :[vJ 7ɾYHhtk[QJtss024]\)02(s7}t _Ge|[ +{7Bp^X7ݵ:,9 a*^7耈p 6zI<"-}㺿gƝ^'GwP&rݟt?uTyNy^~:xYi;,`=FЎ8+;R_ (c<[email protected]ƗwŒX o;6a+! t})3,x€B⏀PrP'oI҃#!c 5ItII kMd ?*8+:gThsy1J *1C)"z ؈N"_14r)*),RA 9  “ѠHDۢdz0&ŁV R_*AlK24PX!q1H,0,B@etI5'PtJ@s&؁mjFH^)4*E2G#ɧg y#pTt KQ )0Dc(coy#e5.6-IeJqPG MCp#Sc RbF5 P-ZDxwM2R?vػ}S'A&`) b0Vb]^/[D13&o2<\#tD|HCѽeڷ&1fb_A1&wG @eضXkw0<w Eq+ :G@H:$ F4G06Is80Ń'WRdOox7B@v90f;Qξb$z4G|t`WrmgRi)p;8i΂݇; 4w.8kP8 C-3/yAtS>0ڿ azn2|׿]I.ljєM|sLe9 ?x;|F10 QScLlޱs w"Ti[email protected]-D]g2LohN@ 8 DO`z}t_FÔtd9BތHQJ~s6-ܢ0%<./<wɩ0(>14.gEjMtJ'Ց8uX 0> h*c;Lj@EY,spbuEd%`N 8aQ83; |d9 t2 $hwN>kXw.H.6G޽{aX\] ֯? ;nHlwʈ\:X]0`62F=JذIwnڈ}1u*z:F$1ߣ#۫ IVZOw {Gahgxt#ɟN<7N\Α1P.dצepc6 Y/5_-#:;]enҍnx'wp0t9ѓBBijM}ƎQ{h傪i`Bƾ9t?:ߜ#ysH|z\|Oxii>/ Z]:yHi?=@–xyQm-) [afy5 _ 7ܵQ;}Xb. {+ĦVnXU|C< n)gV*BX9@>QLϜQBEY>]#,j|! M =[E :֣R`J? ?9샠GQVV9 ֮ 1;:wqeݏ#a _#J)1: ^.b0z#>; Ju$$$}bq1̭蟘 v*8P^J/F3#q1@Wp1n %gm!Z%Njع 1-ap&P.Ft6u F@c[53RLwHЃN F9m I@]yGmR"GD' QP"H||fPs2蟗"t,/<bI^L (!8`jei2:Tוa4< PaѲhpa=<oÿvq%¥#RƖ=֜Y aPWbO3 (Q9Bs[cH;\vA9<àV`2#hs8 Py8 ȯokb2*+#GA$Ƃ?i\ØwQ9pG@g鍃0 ]"}_fBGgLKREexziC&t=2HgZh¯G\u@+U)Waӝ 8ElA4G(q1fA3͍{[Ux_CZoi;hDtbF݌Hðux' ;~?\s[2wEn_)È % sF;G*a\ و78Fs WAN*<9‹GNŝ0vaB<'A7u0_El vlIޤ; 4G 9gCn\^dQ@huR ֝;+{an ,}pݰu0ڰh~p<@/2&m??asGڗRG(Nd}t"4r7K9e7-A]jcvtpt*DLh8'pݢX5 LCNG:>?1͏1^VZY_G}7D+Y-ƚ#N;͛/}aF_ 뇡G4ݳvn> {gŽ[aC |m2h) 8qBx 7݈uG9]j{ˢ֮1%U aj}Oz{3\1pA݉^A|_5]^gPR6G'lK=\rpc5Š,gYػ#} \_*[nOqxE@yfyiu͑###xgmS$-ןmw']>(^s})<ef[{?Ǵ L< ,0AD=,y|l1?voUwt{ۯlsFVtzZq70v$fE+µ~ ԇq/VN LI Tu4µ#L39Lv%` 9X_ Saj^ 2ʆMw%;qR\+@c{Ébt@Tpp ұkR A]Gx Ǡ #(":BUewYy!b_eG<z,X KaykKy{zW#Cꐄ!3CߋUG (Z(6h `F!ld@t( c`,΄+#ӆȌHe) pyh2\bQ"À+v+Ӡ{|NuE]@8~ C : 87eΧЄrA` ݝKDЗWbKw1^8"KnwXX۔/Nc+Lّrq-P৶W'ln+6?'z_2@GWoXKY8ѩ>֑ 7Mx{CAc1U16nZFTCp@k?za BC:.VBj#1 Q_"up;b@tx0pgA~ڝ>n8xg&B]aaPƒJC  l ;RFFk]aqr=[ )`u|20# ƍE81𼩑Q0kpY|Oĩ,Qp8Z%BqNG{jܧ}3k|CZ#<>*([w zk2ۯ/M8~@yW°Љ"ᘛ[@\qG7{%ˈt ~X*rn$rF8% "@&-Sqzqȇ^uÿ w¹Ӡ5ws0>_!>gJW$:F?t!}CwE92]ȧ \41/>>0:.tvwA=d?N7w̹`3Fq'8|ACqu';@掋V;DK,MLGi5U,}U/[-^/E;$tQ!Nj5AH);ݓz)ß:b["}{~‘)%+hxb^WNZt7_ =S,XǡwUX.}Sf\ۿvn? hst qLr@C!nad#fxͮ.@?yUHb7T(MÍst|1v{~[ޢl0yN9;:׸0{LzN_n  KaxRq9\s+\7,zS뫫`:x{FFIYy~:^G3JCi=uHUۗ֙Ӳ=_k7LkZVJ) " (߮՞0!b?&6?2*^z ?p՗0{/ 24FLPWj8uh;آ" G⨾: ,FݥtG|!\$$-2@G[Wט2` Ί A8S"i0HpgED%)7ǰqQB&q+@noz&;6i`FƺADX/[hlXX6=.a-/|@ ͋a'Dqlԇh$MQ`aF{P&"∥EZ#?* D~<8"Xcu# 2#9dp(B03 ~/d"iN=SPp ՖsQєxR>ݨoᅶf$7oV1p|k7'?^~AץI {ky΢mʌ0N,oGFe_靰0e"|~5F*Q7PM:ک͹O pq+Ŧ@2#g|B'%3x|HSOI꽠pT ]pq#5eFcΛ.>Å=26my񏱙H甇'BpA$(n O!e)mSDcqQ\4l"( ܐh4;U9 _蟮|ut;6.n);aa~S~= i]H_Z ^{'ͫτ)8)`9 !N@Oi :sz"}[cD} k2 DsabMKF B 2# hpgItUʲ֡sӻ;H9GjC@eD{5A}l KvHLVE̬E.Dra2\p#iM[>OshJ4xEQ'~MsT( 3 E8!C# ɦ"O; 6Ž8~(i2ql^ ~F[dA,XWD(|R߾FXxA;/=sʧ~Km~aѹ_l ~Y|gETUt]#ޣ 8F9bPbp!\ctڧ 5 zµbyh`a5̬o1lxuz'UDb170hD'mK 8O{HO}={>kn3qg51R}5UH9^ßs/߻ׁ)o_.9ƹ'歃穢./"[خ8>ϓzi~ex9u]\w9ڝ~ ;l X3aFXέۿ^y:l N0'}nu-ܽw m3l`sA>Bvr0'?й:vt x(>I?[M·wEШ//iH@vOI : $(IQI PA bY8 J #@75$Xxh!sae en|"I (B=GgCD,ĭRЯV' (i8 TgRR' <3 voL) XgpYFEI Xf4FtDrlt3 # A$R`6<' :(Cpi KCR>~?7 EG `$lB,Y`ws_ $T ` &]WÍ7kaxt 6ڗ3> A<b`fǿC(1yzW򭯋ܨƁпY}^<ߍqFmAB7! )caHC!GIF 2X0t*GS\:2UJG)ȇsV;ÙhN{rQ'^e1{ãĒ|s")Wip1*FBHHST$qr20\&E >E%X>Ps;t jԓCeE"h=@~)F_i^|7L˘n]+ɂ9"D,`Ma} o7{G1^?yiDžE8?Hihsx"&eHvN8o "πsKS>8B曎_w IL# 9}(G:58zzGzWl*28(mnu krJg{ 5g!@FOw:L7yMW:s"XE? / NHFNHJ&N繁q;HAѫ-<8zZ )w<';$f^O Ux׹hkh"G9}3* \ WDww7c:Ý|?lnNMs"d'0Ȃz VV8>hVQ\'3QE#4 ݮ!+Q~f6tܹ0~3:=8Hn˪Bʢn G) za{nAg{:GyHwCGF8g '5c{ͬES3l$ܸ}#ቡ0(y?1nSƺij{VLJn{ͺdyxOwTE~ϛ^Hw;!?ksz~?I9z/sy}2sg)p>3; ։Wf€'L`c{7LI(͆w+ (D F8N2XaV*G ( :udӈ9 ,3j! W:Bԕ3 { l00bFVI֑|瞘f Q9G8y:}YWW>Fm]g) x cBP%x<ʦ8bO;a t7e yYА) Tyc057V`0X0uqPޅ 8%pNDE@e 쁄9 ';9PETDGWP:QD"50C gY` N)muDʔ&0Ps8 $svD{Ty GGma9~0<l8 mʆ 1ڄ"GDK{ ,<*%Q0%u5K7/x$pX,Ht1= RQܧ 9*co޴cj-x4q0#7ٕ0</:/*Kmr_=YLj@\ )i Rq86Z t&<>Jz\ث SE7C,`65orpL542Un/F AMF#5.1PSFA Օ^qoa%ѸMI1l( R/ Xa|Xs=qyAM"y/~4  ZuFU`$jii/.aX\:  7D2Ν0#9xQx$3$fC;߮qёd9[p&JeuFغq7/mo9E` ed:SDdN iN7RhyGXԁL}fl"tO bK~ (6=5hfw^j<fyu&AbN1Fgyw8-3NhĪ 5qD8}/ љipM|_z蒌?hI)w4ϛ_),yӱzBI@:8pA8 8^ (:Ĵy ='ȰB߼)΂PpgaӰoG?)J86RGxPG3q]SfKI\w+77_9-o셫20;e'0# NC+#۲)dP˧"(},[%zٶ\ÉFnpFXjt9 zZLC0gx ra(C70wF^ưdϋ1usyh9YHèwVp9/m[ Krb"L,dž~zsL't9o{G:};K>څV._~RpzO]>^0S˒J ͝~59r<M#/࿃r{=uMHZ:u?3ͯS8ߙ209X%Qdpec3Lo%) ko +YE?0cF𙂰–: B(8 p=΂+=wCZBPqP)9JF!n6'0 g^k= D.rcDahBP z$^|)Ywma0` sⳠT`PFxCmbCm4A!؏,Xߗq'alf6LH(# >ʣl ^1(/an΁c> M#_Ӑ#Quz.gA\sg Z[_ak7ʸ %9~sD<nJ \7?ץtc$0z7L7?輸/:b8lo} sETC<!#%D8hQ`y' ڗ[>ݱɶ 4w }Hixݗ70Ӣy h_[َszy)ݿms\T M;!tY2KP0/f+Mh#ۜ6*!M#2L/ OFp! 3(O|FfE?<;w nUՋ0 "A>퇶tC e(#< i[آ5HGS:ā%%ydz!-g8#VaCz?8|:iоI#Dzo)Ks ~FDIїsj̻]$g!H>tAq#)дѷTH *Z/<1 6#Mx>SПh5 yK 7zME`HT AH EfE,J/b܋D^7.w^ orǿاq$]Pfq!)v90?կ. LsQ^cd G+G:|Na F "}Žw K~̢8AE /=uhO_4MsE{SG5<T!!P,tL\0#*D/jF۪YCbz&†=2m@C tpjw⧎!ȗ\5҅O>5mw#r 5Dk6 zƌN폋ΐQ |hZ!k lңaA^ Λ F":*4^)h31_ޣǡJx᛿02;OuAc2"YԻKz8S&W/%{"=RcXct^iu vs7Pk\:5;tωd4Jo s1Ɇ'FGy=fpؑyn̵m򀿇*DgvMM%pؿwFG´t}?+x -P*c^zҮ/{٬K <}{^wv!v7 }7P'q5<uOwCөZm&?6L!~}6, ~Fg32>ȴل~ ߩ΂gYQBvddddddddddddddd%dgAFFFFFFFFFFFFFFF YQBvddddddddddddddd%dgAFFFFFFFFFFFFFFF OYw?/] <[OkuxojSw-ӂɋvjhВ}FY/]5?z߼r uEPW?<{?i55PWɨE{ 4SY)9K[+!'2޿2ퟅ'4B'xLg)33M+Yh8 @KA{;L2(:EgtO%3ӇVK!?ķ$)FxY >DxO'J°Fi4? ^o? zՕf4) {~dEiYgO}G+zY[iYS} +iD>O,(wkw{dt-2>ijd|8AX9M}aUǾ:~s"C}=e^жU,:~Jmr4e ipܮ֓fYRƧOп2<;iS=ѠQ9V3?hؿg oӓ|̺N=L4bqѡcgj):gny?ޑrO"QDBTҼMv:ZMue&+5R JeeyO9 FlsU>YLJu @ Ym([_BV|F,g<Q.~aZNpem/!־oWA4Mvo>R;iS{g~'g|*ii)3M.XL&>?Lv.pҳ֠ikidgeFT3*x'lS_i* ^.eV'b*i2UvѴޟ➴L=5暈 NzE@"ڮ'y*JmhEJk"ORV}>3ShԼϓo@K߸ڣ}Hcۤu7Nژڿ{ }UZ92ֶV~_eyVܘľ)A7}h?E1~zv_nK83?hdo<ɻIUʼ}iSsR'\q^5;p?vJJeʫ\ܞkWFk*NoPb>UPE} XLٮv5Qzj[|wPnu+g+ISzO頖?/Q|3+oby[hqo]{:_Be#{;+CQn]%VqC _yG jN/5$.-3AM_ʴ ~wSj]+(;3]dAEiu׫]&~S8j vvTGkLJyjA: O{ו>q;Ckp*frޛ?~%hNCKIh]0F<i*$Vo{w,蝹u'{mMY懲SƧ8K,~羽FǭOlS gW뮝?=L> jOj˫tR]߈];NagjG,m:0?W)OͳY=-ò[yG؆qvjRi95elxQϧ~DQ,-Dľ(]oSEG[qR0|{n/Pyֶ|i|O ʩ;CR*8{=o>vگ'}'i^ٞ5]~L>Q0Dx 4YGkQ*RZVUO qR uW 5Ok/^ij0p'mVԗenaJMs/^]?SBfjWBB[8:'RFͻ[WGxZ miyg}ueطI꭭d|*P?ퟡ}i 2Q+NzOu[iDwr})~K6MrJ<ʴ8 8-D;AZjZP BJ:p)LZ^q?eVl'Lmh/] ӊ{<i;6T묫e_'_j.)R_b%fQ7*TYjkU)*؏V<sڎj?}gxg)|o"4oM_<|-ԟky;*ڠ_hy'Yi{ߢs{%gMLgwvh}ϭ$}hL6Ц?d?SYKh7X@[4BgOY;n$j_!𖴆qݒV){p;Jel۪M 5QNK맖n{C-N<]5=gi.jKubRg݀gQ'<iJyT^։gxg -:œ H'_y>q=K[]lu4YV*Ymo-ݟrP6umPj^oIƧ+޿>ڶIfL)~g_Oz6ZK \ e<egS=9NbNO 3 $$~"#gLMdxftDVJǪe,tdgE|%ǀyLOg|wx֑i?#㳉L>1|'Av|HdgSGKhZv|oA!~Fg32>|j?dgAFFFFFFFFFFFFFFF YQBvddddddddddddddd%dgAFFFFFFFFFFFFFFF YQBvddddddddddddddd%dgAFFFFFFFFFFFFFFF YQBvddddddddddddddd%dgAFFFFFFFFFFFFFFF YQGtǗ¥KAi}m@oꮝ u?^{gˋGw't\_*/Gyg8<}O??>}8I?y }FX^{miA ?|'geddddd|D<gAHyó,.$yۚدwMOgagnjGYiEv|D%Yf׍|WMqY |#C{xؐI|2S4*buHpQ#ۯGERPTqQ[r? 7#SI~k7JyZ 4 [zO,8aŲIu'5+Wʊm"ZVQf כ~䭾veDy7)/AA;)urI\}(Tʳ>^~w| mF'=y^J}zi{oyoyTa =V~}~TvPI4UTڮ3Kl-8{egwpʳQF>]4֚&ԾQE?[M$moJ?W];K(0wV_\vo'UtFFFFFg\dAE *jR0oP&J@S< ŢP +Z5 GU1IF׻? WcyK !VJKUR*JUgMU߫Z_[qվ!ʩ[Z,UXSXH~w#(+XP >3=<ޗ9j,h~\~3Sܓ2UK7坽? v=kmH7@Er?j;5{³/t2?vTFwk;]M+ CYN_ic˻n2vӾeQI}K_8 LAU90(L(+Ua_T~=BI(AZS,HnhFc<hu 8Tއ]9o]=OWJ\VTqm~bq h܎HE ֠YP6꣱7D@H&}?M3B}u_'W-SzgNz7TZ+xAjli yD3YLj;kgk'*~sMTE߽O|?e|R|3 '#####㳌O.P,/5.+Y5uW:Ŭu7^P΂vvgASg.U4EUl/X~6'DlQvj[ӢX.A<S_,+e4gh=M5 gå<ETK-OD>;h>wkzF9O],8[7?۝;JƀkOo(Q{wmյӞiIugZf6p__TNUh|gmV^mK]~{i"7ѬTfm-ϐ;0#####㳃OY`B= 6 HQSGr'U> gݓcY пcЬ~W߾VGjlvWcM+ibI'9 iABC[z*! |b΂so_oԵ‰?i~jLzN{maZի=!} u_6n]m- O:߭]jѓK]F6[Bz<?9-ڽsKp6dddddd| : b^OM 'sŰ22T@Z{MuZmJJѾvJYjhYHGqY,8OU=R}/~nY }7NWTFhκvW(zҁ`e7*Nv,?|NC(iFWiZNӗ7OF"ZwQ{uX1ݝ^o<-)l/ T냥*1wxw/@wluyU(C"Ro[-OcӮgddddd|V9 T2W*k(UT*"%2ţlEC0Ꟃ 5άR=U3mQ0fzrҶ>`8C_)I1ETnQFyR+}-[h3FhE;車 Y[הUg ΂qOOf/IOeҿZhKPg|/_Q R%h};K߫*8K{=U򞥎:)c72U7]O[3}v<QOW/qݻoB(w$|$_w?߭'8 :EwXnї neTP@UEalT?-G?Y ʌW 2T)]9w֬[z|RUl=K;eQQFzYo"hGl>Zꯥ[Y~]h3r['Le>R\/mX|KqJī>։'>k;K+Qy['*8f'U䫡(douE%e7ZQjw>vz|ڊ(_/whs֢!R{$XYC+|DgU ##΂$jQGAԁ!v)Gvdd|GOYnCKYtg1`#`d&kG3222222~^U4&$ Rd> ΂j8{v ױ?OxO,(!; 222222222222222J΂ ##############,(!; 222222222222222J΂ ##############,(DgAFFFFFFFFFFFFFFg,ȿ˿˿˿˿˿˿˿㗝WegA_______~Y/?+*DIENDB`
-1
TheAlgorithms/Python
4,278
fix(mypy): Fix annotations for 13 cipher algorithms
Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
dhruvmanila
"2021-03-20T09:09:15Z"
"2021-03-22T06:59:51Z"
99a42f2b5821356718fb7d011ac711a6b4a63a83
14bcb580d55ee90614ad258ea31ef8fe4e4b5c40
fix(mypy): Fix annotations for 13 cipher algorithms. Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
-1
TheAlgorithms/Python
4,278
fix(mypy): Fix annotations for 13 cipher algorithms
Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
dhruvmanila
"2021-03-20T09:09:15Z"
"2021-03-22T06:59:51Z"
99a42f2b5821356718fb7d011ac711a6b4a63a83
14bcb580d55ee90614ad258ea31ef8fe4e4b5c40
fix(mypy): Fix annotations for 13 cipher algorithms. Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
# Byte-compiled / optimized / DLL files __pycache__/ *.py[cod] *$py.class # C extensions *.so # Distribution / packaging .Python build/ develop-eggs/ dist/ downloads/ eggs/ .eggs/ lib/ lib64/ parts/ sdist/ var/ wheels/ *.egg-info/ .installed.cfg *.egg MANIFEST # PyInstaller # Usually these files are written by a Python script from a template # before PyInstaller builds the exe, so as to inject date/other infos into it. *.manifest *.spec # Installer logs pip-log.txt pip-delete-this-directory.txt # Unit test / coverage reports htmlcov/ .tox/ .coverage .coverage.* .cache nosetests.xml coverage.xml *.cover .hypothesis/ .pytest_cache/ # Translations *.mo *.pot # Django stuff: *.log local_settings.py db.sqlite3 # Flask stuff: instance/ .webassets-cache # Scrapy stuff: .scrapy # Sphinx documentation docs/_build/ # PyBuilder target/ # Jupyter Notebook .ipynb_checkpoints # pyenv .python-version # celery beat schedule file celerybeat-schedule # SageMath parsed files *.sage.py # Environments .env .venv env/ venv/ ENV/ env.bak/ venv.bak/ # Spyder project settings .spyderproject .spyproject # Rope project settings .ropeproject # mkdocs documentation /site # mypy .mypy_cache/ .DS_Store .idea .try .vscode/
# Byte-compiled / optimized / DLL files __pycache__/ *.py[cod] *$py.class # C extensions *.so # Distribution / packaging .Python build/ develop-eggs/ dist/ downloads/ eggs/ .eggs/ lib/ lib64/ parts/ sdist/ var/ wheels/ *.egg-info/ .installed.cfg *.egg MANIFEST # PyInstaller # Usually these files are written by a Python script from a template # before PyInstaller builds the exe, so as to inject date/other infos into it. *.manifest *.spec # Installer logs pip-log.txt pip-delete-this-directory.txt # Unit test / coverage reports htmlcov/ .tox/ .coverage .coverage.* .cache nosetests.xml coverage.xml *.cover .hypothesis/ .pytest_cache/ # Translations *.mo *.pot # Django stuff: *.log local_settings.py db.sqlite3 # Flask stuff: instance/ .webassets-cache # Scrapy stuff: .scrapy # Sphinx documentation docs/_build/ # PyBuilder target/ # Jupyter Notebook .ipynb_checkpoints # pyenv .python-version # celery beat schedule file celerybeat-schedule # SageMath parsed files *.sage.py # Environments .env .venv env/ venv/ ENV/ env.bak/ venv.bak/ # Spyder project settings .spyderproject .spyproject # Rope project settings .ropeproject # mkdocs documentation /site # mypy .mypy_cache/ .DS_Store .idea .try .vscode/
-1
TheAlgorithms/Python
4,278
fix(mypy): Fix annotations for 13 cipher algorithms
Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
dhruvmanila
"2021-03-20T09:09:15Z"
"2021-03-22T06:59:51Z"
99a42f2b5821356718fb7d011ac711a6b4a63a83
14bcb580d55ee90614ad258ea31ef8fe4e4b5c40
fix(mypy): Fix annotations for 13 cipher algorithms. Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
from typing import Any class Node: def __init__(self, data: Any): self.data = data self.next = None class CircularLinkedList: def __init__(self): self.head = None self.tail = None def __iter__(self): node = self.head while self.head: yield node.data node = node.next if node == self.head: break def __len__(self) -> int: return len(tuple(iter(self))) def __repr__(self): return "->".join(str(item) for item in iter(self)) def insert_tail(self, data: Any) -> None: self.insert_nth(len(self), data) def insert_head(self, data: Any) -> None: self.insert_nth(0, data) def insert_nth(self, index: int, data: Any) -> None: if index < 0 or index > len(self): raise IndexError("list index out of range.") new_node = Node(data) if self.head is None: new_node.next = new_node # first node points itself self.tail = self.head = new_node elif index == 0: # insert at head new_node.next = self.head self.head = self.tail.next = new_node else: temp = self.head for _ in range(index - 1): temp = temp.next new_node.next = temp.next temp.next = new_node if index == len(self) - 1: # insert at tail self.tail = new_node def delete_front(self): return self.delete_nth(0) def delete_tail(self) -> None: return self.delete_nth(len(self) - 1) def delete_nth(self, index: int = 0): if not 0 <= index < len(self): raise IndexError("list index out of range.") delete_node = self.head if self.head == self.tail: # just one node self.head = self.tail = None elif index == 0: # delete head node self.tail.next = self.tail.next.next self.head = self.head.next else: temp = self.head for _ in range(index - 1): temp = temp.next delete_node = temp.next temp.next = temp.next.next if index == len(self) - 1: # delete at tail self.tail = temp return delete_node.data def is_empty(self): return len(self) == 0 def test_circular_linked_list() -> None: """ >>> test_circular_linked_list() """ circular_linked_list = CircularLinkedList() assert len(circular_linked_list) == 0 assert circular_linked_list.is_empty() is True assert str(circular_linked_list) == "" try: circular_linked_list.delete_front() assert False # This should not happen except IndexError: assert True # This should happen try: circular_linked_list.delete_tail() assert False # This should not happen except IndexError: assert True # This should happen try: circular_linked_list.delete_nth(-1) assert False except IndexError: assert True try: circular_linked_list.delete_nth(0) assert False except IndexError: assert True assert circular_linked_list.is_empty() is True for i in range(5): assert len(circular_linked_list) == i circular_linked_list.insert_nth(i, i + 1) assert str(circular_linked_list) == "->".join(str(i) for i in range(1, 6)) circular_linked_list.insert_tail(6) assert str(circular_linked_list) == "->".join(str(i) for i in range(1, 7)) circular_linked_list.insert_head(0) assert str(circular_linked_list) == "->".join(str(i) for i in range(0, 7)) assert circular_linked_list.delete_front() == 0 assert circular_linked_list.delete_tail() == 6 assert str(circular_linked_list) == "->".join(str(i) for i in range(1, 6)) assert circular_linked_list.delete_nth(2) == 3 circular_linked_list.insert_nth(2, 3) assert str(circular_linked_list) == "->".join(str(i) for i in range(1, 6)) assert circular_linked_list.is_empty() is False if __name__ == "__main__": import doctest doctest.testmod()
from typing import Any class Node: def __init__(self, data: Any): self.data = data self.next = None class CircularLinkedList: def __init__(self): self.head = None self.tail = None def __iter__(self): node = self.head while self.head: yield node.data node = node.next if node == self.head: break def __len__(self) -> int: return len(tuple(iter(self))) def __repr__(self): return "->".join(str(item) for item in iter(self)) def insert_tail(self, data: Any) -> None: self.insert_nth(len(self), data) def insert_head(self, data: Any) -> None: self.insert_nth(0, data) def insert_nth(self, index: int, data: Any) -> None: if index < 0 or index > len(self): raise IndexError("list index out of range.") new_node = Node(data) if self.head is None: new_node.next = new_node # first node points itself self.tail = self.head = new_node elif index == 0: # insert at head new_node.next = self.head self.head = self.tail.next = new_node else: temp = self.head for _ in range(index - 1): temp = temp.next new_node.next = temp.next temp.next = new_node if index == len(self) - 1: # insert at tail self.tail = new_node def delete_front(self): return self.delete_nth(0) def delete_tail(self) -> None: return self.delete_nth(len(self) - 1) def delete_nth(self, index: int = 0): if not 0 <= index < len(self): raise IndexError("list index out of range.") delete_node = self.head if self.head == self.tail: # just one node self.head = self.tail = None elif index == 0: # delete head node self.tail.next = self.tail.next.next self.head = self.head.next else: temp = self.head for _ in range(index - 1): temp = temp.next delete_node = temp.next temp.next = temp.next.next if index == len(self) - 1: # delete at tail self.tail = temp return delete_node.data def is_empty(self): return len(self) == 0 def test_circular_linked_list() -> None: """ >>> test_circular_linked_list() """ circular_linked_list = CircularLinkedList() assert len(circular_linked_list) == 0 assert circular_linked_list.is_empty() is True assert str(circular_linked_list) == "" try: circular_linked_list.delete_front() assert False # This should not happen except IndexError: assert True # This should happen try: circular_linked_list.delete_tail() assert False # This should not happen except IndexError: assert True # This should happen try: circular_linked_list.delete_nth(-1) assert False except IndexError: assert True try: circular_linked_list.delete_nth(0) assert False except IndexError: assert True assert circular_linked_list.is_empty() is True for i in range(5): assert len(circular_linked_list) == i circular_linked_list.insert_nth(i, i + 1) assert str(circular_linked_list) == "->".join(str(i) for i in range(1, 6)) circular_linked_list.insert_tail(6) assert str(circular_linked_list) == "->".join(str(i) for i in range(1, 7)) circular_linked_list.insert_head(0) assert str(circular_linked_list) == "->".join(str(i) for i in range(0, 7)) assert circular_linked_list.delete_front() == 0 assert circular_linked_list.delete_tail() == 6 assert str(circular_linked_list) == "->".join(str(i) for i in range(1, 6)) assert circular_linked_list.delete_nth(2) == 3 circular_linked_list.insert_nth(2, 3) assert str(circular_linked_list) == "->".join(str(i) for i in range(1, 6)) assert circular_linked_list.is_empty() is False if __name__ == "__main__": import doctest doctest.testmod()
-1
TheAlgorithms/Python
4,278
fix(mypy): Fix annotations for 13 cipher algorithms
Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
dhruvmanila
"2021-03-20T09:09:15Z"
"2021-03-22T06:59:51Z"
99a42f2b5821356718fb7d011ac711a6b4a63a83
14bcb580d55ee90614ad258ea31ef8fe4e4b5c40
fix(mypy): Fix annotations for 13 cipher algorithms. Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
""" Project Euler Problem 174: https://projecteuler.net/problem=174 We shall define a square lamina to be a square outline with a square "hole" so that the shape possesses vertical and horizontal symmetry. Given eight tiles it is possible to form a lamina in only one way: 3x3 square with a 1x1 hole in the middle. However, using thirty-two tiles it is possible to form two distinct laminae. If t represents the number of tiles used, we shall say that t = 8 is type L(1) and t = 32 is type L(2). Let N(n) be the number of t ≤ 1000000 such that t is type L(n); for example, N(15) = 832. What is ∑ N(n) for 1 ≤ n ≤ 10? """ from collections import defaultdict from math import ceil, sqrt def solution(t_limit: int = 1000000, n_limit: int = 10) -> int: """ Return the sum of N(n) for 1 <= n <= n_limit. >>> solution(1000,5) 249 >>> solution(10000,10) 2383 """ count: defaultdict = defaultdict(int) for outer_width in range(3, (t_limit // 4) + 2): if outer_width * outer_width > t_limit: hole_width_lower_bound = max( ceil(sqrt(outer_width * outer_width - t_limit)), 1 ) else: hole_width_lower_bound = 1 hole_width_lower_bound += (outer_width - hole_width_lower_bound) % 2 for hole_width in range(hole_width_lower_bound, outer_width - 1, 2): count[outer_width * outer_width - hole_width * hole_width] += 1 return sum(1 for n in count.values() if 1 <= n <= 10) if __name__ == "__main__": print(f"{solution() = }")
""" Project Euler Problem 174: https://projecteuler.net/problem=174 We shall define a square lamina to be a square outline with a square "hole" so that the shape possesses vertical and horizontal symmetry. Given eight tiles it is possible to form a lamina in only one way: 3x3 square with a 1x1 hole in the middle. However, using thirty-two tiles it is possible to form two distinct laminae. If t represents the number of tiles used, we shall say that t = 8 is type L(1) and t = 32 is type L(2). Let N(n) be the number of t ≤ 1000000 such that t is type L(n); for example, N(15) = 832. What is ∑ N(n) for 1 ≤ n ≤ 10? """ from collections import defaultdict from math import ceil, sqrt def solution(t_limit: int = 1000000, n_limit: int = 10) -> int: """ Return the sum of N(n) for 1 <= n <= n_limit. >>> solution(1000,5) 249 >>> solution(10000,10) 2383 """ count: defaultdict = defaultdict(int) for outer_width in range(3, (t_limit // 4) + 2): if outer_width * outer_width > t_limit: hole_width_lower_bound = max( ceil(sqrt(outer_width * outer_width - t_limit)), 1 ) else: hole_width_lower_bound = 1 hole_width_lower_bound += (outer_width - hole_width_lower_bound) % 2 for hole_width in range(hole_width_lower_bound, outer_width - 1, 2): count[outer_width * outer_width - hole_width * hole_width] += 1 return sum(1 for n in count.values() if 1 <= n <= 10) if __name__ == "__main__": print(f"{solution() = }")
-1
TheAlgorithms/Python
4,278
fix(mypy): Fix annotations for 13 cipher algorithms
Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
dhruvmanila
"2021-03-20T09:09:15Z"
"2021-03-22T06:59:51Z"
99a42f2b5821356718fb7d011ac711a6b4a63a83
14bcb580d55ee90614ad258ea31ef8fe4e4b5c40
fix(mypy): Fix annotations for 13 cipher algorithms. Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
# This theorem states that the number of prime factors of n # will be approximately log(log(n)) for most natural numbers n import math def exactPrimeFactorCount(n): """ >>> exactPrimeFactorCount(51242183) 3 """ count = 0 if n % 2 == 0: count += 1 while n % 2 == 0: n = int(n / 2) # the n input value must be odd so that # we can skip one element (ie i += 2) i = 3 while i <= int(math.sqrt(n)): if n % i == 0: count += 1 while n % i == 0: n = int(n / i) i = i + 2 # this condition checks the prime # number n is greater than 2 if n > 2: count += 1 return count if __name__ == "__main__": n = 51242183 print(f"The number of distinct prime factors is/are {exactPrimeFactorCount(n)}") print("The value of log(log(n)) is {:.4f}".format(math.log(math.log(n)))) """ The number of distinct prime factors is/are 3 The value of log(log(n)) is 2.8765 """
# This theorem states that the number of prime factors of n # will be approximately log(log(n)) for most natural numbers n import math def exactPrimeFactorCount(n): """ >>> exactPrimeFactorCount(51242183) 3 """ count = 0 if n % 2 == 0: count += 1 while n % 2 == 0: n = int(n / 2) # the n input value must be odd so that # we can skip one element (ie i += 2) i = 3 while i <= int(math.sqrt(n)): if n % i == 0: count += 1 while n % i == 0: n = int(n / i) i = i + 2 # this condition checks the prime # number n is greater than 2 if n > 2: count += 1 return count if __name__ == "__main__": n = 51242183 print(f"The number of distinct prime factors is/are {exactPrimeFactorCount(n)}") print("The value of log(log(n)) is {:.4f}".format(math.log(math.log(n)))) """ The number of distinct prime factors is/are 3 The value of log(log(n)) is 2.8765 """
-1
TheAlgorithms/Python
4,278
fix(mypy): Fix annotations for 13 cipher algorithms
Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
dhruvmanila
"2021-03-20T09:09:15Z"
"2021-03-22T06:59:51Z"
99a42f2b5821356718fb7d011ac711a6b4a63a83
14bcb580d55ee90614ad258ea31ef8fe4e4b5c40
fix(mypy): Fix annotations for 13 cipher algorithms. Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
-1
TheAlgorithms/Python
4,278
fix(mypy): Fix annotations for 13 cipher algorithms
Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
dhruvmanila
"2021-03-20T09:09:15Z"
"2021-03-22T06:59:51Z"
99a42f2b5821356718fb7d011ac711a6b4a63a83
14bcb580d55ee90614ad258ea31ef8fe4e4b5c40
fix(mypy): Fix annotations for 13 cipher algorithms. Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
""" An implementation of Karger's Algorithm for partitioning a graph. """ from __future__ import annotations import random # Adjacency list representation of this graph: # https://en.wikipedia.org/wiki/File:Single_run_of_Karger%E2%80%99s_Mincut_algorithm.svg TEST_GRAPH = { "1": ["2", "3", "4", "5"], "2": ["1", "3", "4", "5"], "3": ["1", "2", "4", "5", "10"], "4": ["1", "2", "3", "5", "6"], "5": ["1", "2", "3", "4", "7"], "6": ["7", "8", "9", "10", "4"], "7": ["6", "8", "9", "10", "5"], "8": ["6", "7", "9", "10"], "9": ["6", "7", "8", "10"], "10": ["6", "7", "8", "9", "3"], } def partition_graph(graph: dict[str, list[str]]) -> set[tuple[str, str]]: """ Partitions a graph using Karger's Algorithm. Implemented from pseudocode found here: https://en.wikipedia.org/wiki/Karger%27s_algorithm. This function involves random choices, meaning it will not give consistent outputs. Args: graph: A dictionary containing adacency lists for the graph. Nodes must be strings. Returns: The cutset of the cut found by Karger's Algorithm. >>> graph = {'0':['1'], '1':['0']} >>> partition_graph(graph) {('0', '1')} """ # Dict that maps contracted nodes to a list of all the nodes it "contains." contracted_nodes = {node: {node} for node in graph} graph_copy = {node: graph[node][:] for node in graph} while len(graph_copy) > 2: # Choose a random edge. u = random.choice(list(graph_copy.keys())) v = random.choice(graph_copy[u]) # Contract edge (u, v) to new node uv uv = u + v uv_neighbors = list(set(graph_copy[u] + graph_copy[v])) uv_neighbors.remove(u) uv_neighbors.remove(v) graph_copy[uv] = uv_neighbors for neighbor in uv_neighbors: graph_copy[neighbor].append(uv) contracted_nodes[uv] = set(contracted_nodes[u].union(contracted_nodes[v])) # Remove nodes u and v. del graph_copy[u] del graph_copy[v] for neighbor in uv_neighbors: if u in graph_copy[neighbor]: graph_copy[neighbor].remove(u) if v in graph_copy[neighbor]: graph_copy[neighbor].remove(v) # Find cutset. groups = [contracted_nodes[node] for node in graph_copy] return { (node, neighbor) for node in groups[0] for neighbor in graph[node] if neighbor in groups[1] } if __name__ == "__main__": print(partition_graph(TEST_GRAPH))
""" An implementation of Karger's Algorithm for partitioning a graph. """ from __future__ import annotations import random # Adjacency list representation of this graph: # https://en.wikipedia.org/wiki/File:Single_run_of_Karger%E2%80%99s_Mincut_algorithm.svg TEST_GRAPH = { "1": ["2", "3", "4", "5"], "2": ["1", "3", "4", "5"], "3": ["1", "2", "4", "5", "10"], "4": ["1", "2", "3", "5", "6"], "5": ["1", "2", "3", "4", "7"], "6": ["7", "8", "9", "10", "4"], "7": ["6", "8", "9", "10", "5"], "8": ["6", "7", "9", "10"], "9": ["6", "7", "8", "10"], "10": ["6", "7", "8", "9", "3"], } def partition_graph(graph: dict[str, list[str]]) -> set[tuple[str, str]]: """ Partitions a graph using Karger's Algorithm. Implemented from pseudocode found here: https://en.wikipedia.org/wiki/Karger%27s_algorithm. This function involves random choices, meaning it will not give consistent outputs. Args: graph: A dictionary containing adacency lists for the graph. Nodes must be strings. Returns: The cutset of the cut found by Karger's Algorithm. >>> graph = {'0':['1'], '1':['0']} >>> partition_graph(graph) {('0', '1')} """ # Dict that maps contracted nodes to a list of all the nodes it "contains." contracted_nodes = {node: {node} for node in graph} graph_copy = {node: graph[node][:] for node in graph} while len(graph_copy) > 2: # Choose a random edge. u = random.choice(list(graph_copy.keys())) v = random.choice(graph_copy[u]) # Contract edge (u, v) to new node uv uv = u + v uv_neighbors = list(set(graph_copy[u] + graph_copy[v])) uv_neighbors.remove(u) uv_neighbors.remove(v) graph_copy[uv] = uv_neighbors for neighbor in uv_neighbors: graph_copy[neighbor].append(uv) contracted_nodes[uv] = set(contracted_nodes[u].union(contracted_nodes[v])) # Remove nodes u and v. del graph_copy[u] del graph_copy[v] for neighbor in uv_neighbors: if u in graph_copy[neighbor]: graph_copy[neighbor].remove(u) if v in graph_copy[neighbor]: graph_copy[neighbor].remove(v) # Find cutset. groups = [contracted_nodes[node] for node in graph_copy] return { (node, neighbor) for node in groups[0] for neighbor in graph[node] if neighbor in groups[1] } if __name__ == "__main__": print(partition_graph(TEST_GRAPH))
-1
TheAlgorithms/Python
4,278
fix(mypy): Fix annotations for 13 cipher algorithms
Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
dhruvmanila
"2021-03-20T09:09:15Z"
"2021-03-22T06:59:51Z"
99a42f2b5821356718fb7d011ac711a6b4a63a83
14bcb580d55ee90614ad258ea31ef8fe4e4b5c40
fix(mypy): Fix annotations for 13 cipher algorithms. Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
""" The A* algorithm combines features of uniform-cost search and pure heuristic search to efficiently compute optimal solutions. A* algorithm is a best-first search algorithm in which the cost associated with a node is f(n) = g(n) + h(n), where g(n) is the cost of the path from the initial state to node n and h(n) is the heuristic estimate or the cost or a path from node n to a goal.A* algorithm introduces a heuristic into a regular graph-searching algorithm, essentially planning ahead at each step so a more optimal decision is made.A* also known as the algorithm with brains """ import numpy as np class Cell: """ Class cell represents a cell in the world which have the property position : The position of the represented by tupleof x and y coordinates initially set to (0,0) parent : This contains the parent cell object which we visited before arrinving this cell g,h,f : The parameters for constructing the heuristic function which can be any function. for simplicity used line distance """ def __init__(self): self.position = (0, 0) self.parent = None self.g = 0 self.h = 0 self.f = 0 """ overrides equals method because otherwise cell assign will give wrong results """ def __eq__(self, cell): return self.position == cell.position def showcell(self): print(self.position) class Gridworld: """ Gridworld class represents the external world here a grid M*M matrix world_size: create a numpy array with the given world_size default is 5 """ def __init__(self, world_size=(5, 5)): self.w = np.zeros(world_size) self.world_x_limit = world_size[0] self.world_y_limit = world_size[1] def show(self): print(self.w) def get_neigbours(self, cell): """ Return the neighbours of cell """ neughbour_cord = [ (-1, -1), (-1, 0), (-1, 1), (0, -1), (0, 1), (1, -1), (1, 0), (1, 1), ] current_x = cell.position[0] current_y = cell.position[1] neighbours = [] for n in neughbour_cord: x = current_x + n[0] y = current_y + n[1] if 0 <= x < self.world_x_limit and 0 <= y < self.world_y_limit: c = Cell() c.position = (x, y) c.parent = cell neighbours.append(c) return neighbours def astar(world, start, goal): """ Implementation of a start algorithm world : Object of the world object start : Object of the cell as start position stop : Object of the cell as goal position >>> p = Gridworld() >>> start = Cell() >>> start.position = (0,0) >>> goal = Cell() >>> goal.position = (4,4) >>> astar(p, start, goal) [(0, 0), (1, 1), (2, 2), (3, 3), (4, 4)] """ _open = [] _closed = [] _open.append(start) while _open: min_f = np.argmin([n.f for n in _open]) current = _open[min_f] _closed.append(_open.pop(min_f)) if current == goal: break for n in world.get_neigbours(current): for c in _closed: if c == n: continue n.g = current.g + 1 x1, y1 = n.position x2, y2 = goal.position n.h = (y2 - y1) ** 2 + (x2 - x1) ** 2 n.f = n.h + n.g for c in _open: if c == n and c.f < n.f: continue _open.append(n) path = [] while current.parent is not None: path.append(current.position) current = current.parent path.append(current.position) return path[::-1] if __name__ == "__main__": world = Gridworld() # stat position and Goal start = Cell() start.position = (0, 0) goal = Cell() goal.position = (4, 4) print(f"path from {start.position} to {goal.position}") s = astar(world, start, goal) # Just for visual reasons for i in s: world.w[i] = 1 print(world.w)
""" The A* algorithm combines features of uniform-cost search and pure heuristic search to efficiently compute optimal solutions. A* algorithm is a best-first search algorithm in which the cost associated with a node is f(n) = g(n) + h(n), where g(n) is the cost of the path from the initial state to node n and h(n) is the heuristic estimate or the cost or a path from node n to a goal.A* algorithm introduces a heuristic into a regular graph-searching algorithm, essentially planning ahead at each step so a more optimal decision is made.A* also known as the algorithm with brains """ import numpy as np class Cell: """ Class cell represents a cell in the world which have the property position : The position of the represented by tupleof x and y coordinates initially set to (0,0) parent : This contains the parent cell object which we visited before arrinving this cell g,h,f : The parameters for constructing the heuristic function which can be any function. for simplicity used line distance """ def __init__(self): self.position = (0, 0) self.parent = None self.g = 0 self.h = 0 self.f = 0 """ overrides equals method because otherwise cell assign will give wrong results """ def __eq__(self, cell): return self.position == cell.position def showcell(self): print(self.position) class Gridworld: """ Gridworld class represents the external world here a grid M*M matrix world_size: create a numpy array with the given world_size default is 5 """ def __init__(self, world_size=(5, 5)): self.w = np.zeros(world_size) self.world_x_limit = world_size[0] self.world_y_limit = world_size[1] def show(self): print(self.w) def get_neigbours(self, cell): """ Return the neighbours of cell """ neughbour_cord = [ (-1, -1), (-1, 0), (-1, 1), (0, -1), (0, 1), (1, -1), (1, 0), (1, 1), ] current_x = cell.position[0] current_y = cell.position[1] neighbours = [] for n in neughbour_cord: x = current_x + n[0] y = current_y + n[1] if 0 <= x < self.world_x_limit and 0 <= y < self.world_y_limit: c = Cell() c.position = (x, y) c.parent = cell neighbours.append(c) return neighbours def astar(world, start, goal): """ Implementation of a start algorithm world : Object of the world object start : Object of the cell as start position stop : Object of the cell as goal position >>> p = Gridworld() >>> start = Cell() >>> start.position = (0,0) >>> goal = Cell() >>> goal.position = (4,4) >>> astar(p, start, goal) [(0, 0), (1, 1), (2, 2), (3, 3), (4, 4)] """ _open = [] _closed = [] _open.append(start) while _open: min_f = np.argmin([n.f for n in _open]) current = _open[min_f] _closed.append(_open.pop(min_f)) if current == goal: break for n in world.get_neigbours(current): for c in _closed: if c == n: continue n.g = current.g + 1 x1, y1 = n.position x2, y2 = goal.position n.h = (y2 - y1) ** 2 + (x2 - x1) ** 2 n.f = n.h + n.g for c in _open: if c == n and c.f < n.f: continue _open.append(n) path = [] while current.parent is not None: path.append(current.position) current = current.parent path.append(current.position) return path[::-1] if __name__ == "__main__": world = Gridworld() # stat position and Goal start = Cell() start.position = (0, 0) goal = Cell() goal.position = (4, 4) print(f"path from {start.position} to {goal.position}") s = astar(world, start, goal) # Just for visual reasons for i in s: world.w[i] = 1 print(world.w)
-1
TheAlgorithms/Python
4,278
fix(mypy): Fix annotations for 13 cipher algorithms
Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
dhruvmanila
"2021-03-20T09:09:15Z"
"2021-03-22T06:59:51Z"
99a42f2b5821356718fb7d011ac711a6b4a63a83
14bcb580d55ee90614ad258ea31ef8fe4e4b5c40
fix(mypy): Fix annotations for 13 cipher algorithms. Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
""" Peak signal-to-noise ratio - PSNR https://en.wikipedia.org/wiki/Peak_signal-to-noise_ratio Source: https://tutorials.techonical.com/how-to-calculate-psnr-value-of-two-images-using-python """ import math import os import cv2 import numpy as np def psnr(original, contrast): mse = np.mean((original - contrast) ** 2) if mse == 0: return 100 PIXEL_MAX = 255.0 PSNR = 20 * math.log10(PIXEL_MAX / math.sqrt(mse)) return PSNR def main(): dir_path = os.path.dirname(os.path.realpath(__file__)) # Loading images (original image and compressed image) original = cv2.imread(os.path.join(dir_path, "image_data/original_image.png")) contrast = cv2.imread(os.path.join(dir_path, "image_data/compressed_image.png"), 1) original2 = cv2.imread(os.path.join(dir_path, "image_data/PSNR-example-base.png")) contrast2 = cv2.imread( os.path.join(dir_path, "image_data/PSNR-example-comp-10.jpg"), 1 ) # Value expected: 29.73dB print("-- First Test --") print(f"PSNR value is {psnr(original, contrast)} dB") # # Value expected: 31.53dB (Wikipedia Example) print("\n-- Second Test --") print(f"PSNR value is {psnr(original2, contrast2)} dB") if __name__ == "__main__": main()
""" Peak signal-to-noise ratio - PSNR https://en.wikipedia.org/wiki/Peak_signal-to-noise_ratio Source: https://tutorials.techonical.com/how-to-calculate-psnr-value-of-two-images-using-python """ import math import os import cv2 import numpy as np def psnr(original, contrast): mse = np.mean((original - contrast) ** 2) if mse == 0: return 100 PIXEL_MAX = 255.0 PSNR = 20 * math.log10(PIXEL_MAX / math.sqrt(mse)) return PSNR def main(): dir_path = os.path.dirname(os.path.realpath(__file__)) # Loading images (original image and compressed image) original = cv2.imread(os.path.join(dir_path, "image_data/original_image.png")) contrast = cv2.imread(os.path.join(dir_path, "image_data/compressed_image.png"), 1) original2 = cv2.imread(os.path.join(dir_path, "image_data/PSNR-example-base.png")) contrast2 = cv2.imread( os.path.join(dir_path, "image_data/PSNR-example-comp-10.jpg"), 1 ) # Value expected: 29.73dB print("-- First Test --") print(f"PSNR value is {psnr(original, contrast)} dB") # # Value expected: 31.53dB (Wikipedia Example) print("\n-- Second Test --") print(f"PSNR value is {psnr(original2, contrast2)} dB") if __name__ == "__main__": main()
-1
TheAlgorithms/Python
4,278
fix(mypy): Fix annotations for 13 cipher algorithms
Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
dhruvmanila
"2021-03-20T09:09:15Z"
"2021-03-22T06:59:51Z"
99a42f2b5821356718fb7d011ac711a6b4a63a83
14bcb580d55ee90614ad258ea31ef8fe4e4b5c40
fix(mypy): Fix annotations for 13 cipher algorithms. Issue: #4052 ```console $ git diff master --name-only ciphers/a1z26.py ciphers/affine_cipher.py ciphers/atbash.py ciphers/base32.py ciphers/base85.py ciphers/beaufort_cipher.py ciphers/brute_force_caesar_cipher.py ciphers/cryptomath_module.py ciphers/decrypt_caesar_with_chi_squared.py ciphers/diffie.py ciphers/elgamal_key_generator.py ciphers/enigma_machine2.py ciphers/rsa_key_generator.py ``` Running `mypy`: ```console $ git diff master --name-only | xargs -I% mypy --strict % Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file Success: no issues found in 1 source file ``` ### **Describe your change:** * [ ] Add an algorithm? * [x] Fix a bug or typo in an existing algorithm? * [ ] Documentation change? ### **Checklist:** * [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md). * [x] This pull request is all my own work -- I have not plagiarized. * [x] I know that pull requests will not be merged if they fail the automated tests. * [x] This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms. * [ ] All new Python files are placed inside an existing directory. * [ ] All filenames are in all lowercase characters with no spaces or dashes. * [ ] All functions and variable names follow Python naming conventions. * [ ] All function parameters and return values are annotated with Python [type hints](https://docs.python.org/3/library/typing.html). * [ ] All functions have [doctests](https://docs.python.org/3/library/doctest.html) that pass the automated testing. * [ ] All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation. * [ ] If this pull request resolves one or more open issues then the commit message contains `Fixes: #{$ISSUE_NO}`.
75 95 64 17 47 82 18 35 87 10 20 04 82 47 65 19 01 23 75 03 34 88 02 77 73 07 63 67 99 65 04 28 06 16 70 92 41 41 26 56 83 40 80 70 33 41 48 72 33 47 32 37 16 94 29 53 71 44 65 25 43 91 52 97 51 14 70 11 33 28 77 73 17 78 39 68 17 57 91 71 52 38 17 14 91 43 58 50 27 29 48 63 66 04 68 89 53 67 30 73 16 69 87 40 31 04 62 98 27 23 09 70 98 73 93 38 53 60 04 23
75 95 64 17 47 82 18 35 87 10 20 04 82 47 65 19 01 23 75 03 34 88 02 77 73 07 63 67 99 65 04 28 06 16 70 92 41 41 26 56 83 40 80 70 33 41 48 72 33 47 32 37 16 94 29 53 71 44 65 25 43 91 52 97 51 14 70 11 33 28 77 73 17 78 39 68 17 57 91 71 52 38 17 14 91 43 58 50 27 29 48 63 66 04 68 89 53 67 30 73 16 69 87 40 31 04 62 98 27 23 09 70 98 73 93 38 53 60 04 23
-1