504: Solution with step by step explanation
Intuition\n Describe your first thoughts on how to solve this problem. \n\n# Approach\n1. Check if the input number is 0, return "0" in this case.\n2. Initializ
# Intuition\n<!-- Describe your first thoughts on how to solve this problem. -->\n\n# Approach\n1. Check if the input number is 0, return "0" in this case.\n2. Initialize a flag to keep track of whether the number is negative or not.\n3. Convert the input number to a positive integer if it\'s negative by taking the absolute value.\n4. Initialize an empty string variable to store the base 7 representation of the number.\n5. Loop until the input number becomes 0.\n6. At each iteration of the loop, compute the remainder when the input number is divided by 7.\n7. Add the remainder to the base 7 representation string variable.\n8. Update the input number to be the quotient when it\'s divided by 7.\n9. If the original input number was negative, add a \'-\' sign to the base 7 representation.\n10. Return the base 7 representation.\n# Complexity\n- Time complexity:\n<!-- Add your time complexity here, e.g. $$O(n)$$ -->\n\n- Space complexity:\n<!-- Add your space complexity here, e.g. $$O(n)$$ -->\n\n# Code\n```\nclass Solution:\n    def convertToBase7(self, num: int) -> str:\n        # Handle the edge case where num is 0\n        if num == 0:\n            return "0"\n        \n        # Initialize a flag to keep track of whether num is negative or not\n        is_negative = num < 0\n        \n        # Convert num to positive if it\'s negative\n        if is_negative:\n            num = -num\n        \n        # Initialize a variable to keep track of the base 7 representation\n        base_7 = ""\n        \n        # Loop until num becomes 0\n        while num > 0:\n            # Compute the remainder when num is divided by 7\n            remainder = num % 7\n            \n            # Add the remainder to the base 7 representation\n            base_7 = str(remainder) + base_7\n            \n            # Update num to be the quotient when it\'s divided by 7\n            num //= 7\n        \n        # If num was originally negative, add a \'-\' sign to the base 7 representation\n        if is_negative:\n            base_7 = \'-\' + base_7\n        \n        # Return the base 7 representation\n        return base_7\n\n```
['Math', 'Python', 'Python3']