


'''simple docstring'''
from collections.abc import Sequence
from queue import Queue






class        lowerCAmelCase_  :






       def __init__( self			,     _UpperCamelCase			,     _UpperCamelCase			,     _UpperCamelCase			,     _UpperCamelCase=None			,     _UpperCamelCase=None   )->      Optional[int]:
            _A				=							start
            _A				=							end
            _A				=							val
            _A				=							(start + end) // 2
            _A				=							left
            _A				=							right






       def __repr__( self   )->      Dict:
            return F'SegmentTreeNode(start={self.start}, end={self.end}, val={self.val})'






class        lowerCAmelCase_  :






       def __init__( self			,     _UpperCamelCase			,     _UpperCamelCase   )->      str:
            _A				=							collection
            _A				=							function
            if self.collection:
                 _A				=							self._build_tree(0			,     len(snake_case_   ) - 1   )






       def   UpperCamelCase						( self			,     _UpperCamelCase			,     _UpperCamelCase   )->      Optional[int]:
            self._update_tree(self.root			,     snake_case_			,     snake_case_   )






       def   UpperCamelCase						( self			,     _UpperCamelCase			,     _UpperCamelCase   )->      Union[str, Any]:
            return self._query_range(self.root			,     snake_case_			,     snake_case_   )






       def   UpperCamelCase						( self			,     _UpperCamelCase			,     _UpperCamelCase   )->      List[Any]:
            if start == end:
                 return SegmentTreeNode(snake_case_			,     snake_case_			,     self.collection[start]   )
            _A				=							(start + end) // 2
            _A				=							self._build_tree(snake_case_			,     snake_case_   )
            _A				=							self._build_tree(mid + 1			,     snake_case_   )
            return SegmentTreeNode(snake_case_			,     snake_case_			,     self.fn(left.val			,     right.val   )			,     snake_case_			,     snake_case_   )






       def   UpperCamelCase						( self			,     _UpperCamelCase			,     _UpperCamelCase			,     _UpperCamelCase   )->      List[Any]:
            if node.start == i and node.end == i:
                 _A				=							val
                 return
            if i <= node.mid:
                 self._update_tree(node.left			,     snake_case_			,     snake_case_   )
            else:
                 self._update_tree(node.right			,     snake_case_			,     snake_case_   )
            _A				=							self.fn(node.left.val			,     node.right.val   )






       def   UpperCamelCase						( self			,     _UpperCamelCase			,     _UpperCamelCase			,     _UpperCamelCase   )->      Optional[int]:
            if node.start == i and node.end == j:
                 return node.val

            if i <= node.mid:
                 if j <= node.mid:
                      # range in left child tree
                      return self._query_range(node.left			,     snake_case_			,     snake_case_   )
                 else:
                      # range in left child tree and right child tree
                      return self.fn(
                          self._query_range(node.left			,     snake_case_			,     node.mid   )			,     self._query_range(node.right			,     node.mid + 1			,     snake_case_   )			,     )
            else:
                 # range in right child tree
                 return self._query_range(node.right			,     snake_case_			,     snake_case_   )






       def   UpperCamelCase						( self   )->      Tuple:
            if self.root is not None:
                 _A				=							Queue()
                 queue.put(self.root   )
                 while not queue.empty():
                      _A				=							queue.get()
                      yield node

                      if node.left is not None:
                           queue.put(node.left   )

                      if node.right is not None:
                           queue.put(node.right   )


if __name__ == "__main__":
    import operator

    for fn in [operator.add, max, min]:
        print("""*""" * 50)
        lowerCAmelCase						=					SegmentTree([2, 1, 5, 3, 4], fn)
        for node in arr.traverse():
            print(node)
        print()

        arr.update(1, 5)
        for node in arr.traverse():
            print(node)
        print()

        print(arr.query_range(3, 4))  # 7
        print(arr.query_range(2, 2))  # 5
        print(arr.query_range(1, 3))  # 13
        print()










from __future__ import annotations

import time

import numpy as np

lowercase_													=      [8, 5, 9, 7]
lowercase_													=      [
    [2, 0, 1, 1],
    [0, 1, 2, 1],
    [4, 0, 0, 3],
    [0, 2, 1, 0],
    [1, 0, 3, 0],
]
lowercase_													=      [
    [3, 2, 1, 4],
    [0, 2, 5, 2],
    [5, 1, 0, 5],
    [1, 5, 3, 0],
    [3, 0, 3, 3],
]






class     __a			:



	def __init__(    self				:     Tuple					,						snake_case_				:     list[int]					,						snake_case_				:     list[list[int]]					,						snake_case_				:     list[list[int]]					,						)->				None:
						__lowerCAmelCase						 =claim_vector
						__lowerCAmelCase						 =allocated_resources_table
						__lowerCAmelCase						 =maximum_claim_table



	def 		UpperCamelCase				(    self				:     Optional[int])->				list[int]:
						return [
						    sum(p_item[i] for p_item in self.__allocated_resources_table)
						    for i in range(len(self.__allocated_resources_table[0]))
						]



	def 		UpperCamelCase				(    self				:     Dict)->				list[int]:
						return np.array(self.__claim_vector) - np.array(
						    self.__processes_resource_summation())



	def 		UpperCamelCase				(    self				:     Optional[Any])->				list[list[int]]:
						return [
						    list(np.array(self.__maximum_claim_table[i]) - np.array(snake_case_))
						    for i, allocated_resource in enumerate(self.__allocated_resources_table)
						]



	def 		UpperCamelCase				(    self				:     Dict)->				dict[int, list[int]]:
						return {self.__need().index(snake_case_): i for i in self.__need()}



	def 		UpperCamelCase				(    self				:     Optional[Any]					,						**snake_case_				:     Optional[Any])->				None:
						__lowerCAmelCase						 =self.__need()
						__lowerCAmelCase						 =self.__allocated_resources_table
						__lowerCAmelCase						 =self.__available_resources()
						__lowerCAmelCase						 =self.__need_index_manager()
						for kw, val in kwargs.items():
											if kw and val is True:
																self.__pretty_data()
						print("""_""" * 50 + """\n""")
						while need_list:
											__lowerCAmelCase						 =False
											for each_need in need_list:
																__lowerCAmelCase						 =True
																for index, need in enumerate(snake_case_):
																					if need > available_resources[index]:
																										__lowerCAmelCase						 =False
																										break
																if execution:
																					__lowerCAmelCase						 =True
																					# get the original index of the process from ind_ctrl db
																					for original_need_index, need_clone in need_index_manager.items():
																										if each_need == need_clone:
																															__lowerCAmelCase						 =original_need_index
																					print(F"""Process {process_number + 1} is executing.""")
																					# remove the process run from stack
																					need_list.remove(snake_case_)
																					# update available/freed resources stack
																					__lowerCAmelCase						 =np.array(snake_case_) + np.array(
																					    alloc_resources_table[process_number])
																					print(
																					    """Updated available resource stack for processes: """
																					    + """ """.join([str(snake_case_) for x in available_resources]))
																					break
											if safe:
																print("""The process is in a safe state.\n""")
											else:
																print("""System in unsafe state. Aborting...\n""")
																break



	def 		UpperCamelCase				(    self				:     List[str])->				Optional[Any]:
						print(""" """ * 9 + """Allocated Resource Table""")
						for item in self.__allocated_resources_table:
											print(
											    F"""P{self.__allocated_resources_table.index(snake_case_) + 1}"""
											    + """ """.join(F"""{it:>8}""" for it in item)
											    + """\n""")
						print(""" """ * 9 + """System Resource Table""")
						for item in self.__maximum_claim_table:
											print(
											    F"""P{self.__maximum_claim_table.index(snake_case_) + 1}"""
											    + """ """.join(F"""{it:>8}""" for it in item)
											    + """\n""")
						print(
						    """Current Usage by Active Processes: """
						    + """ """.join(str(snake_case_) for x in self.__claim_vector))
						print(
						    """Initial Available Resources:       """
						    + """ """.join(str(snake_case_) for x in self.__available_resources()))
						time.sleep(1)


if __name__ == "__main__":
				import doctest

				doctest.testmod()




