364. Nested List Weight Sum II

# """
# This is the interface that allows for creating nested lists.
# You should not implement it, or speculate about its implementation
# """
#class NestedInteger:
#    def __init__(self, value=None):
#        """
#        If value is not specified, initializes an empty list.
#        Otherwise initializes a single integer equal to value.
#        """
#
#    def isInteger(self):
#        """
#        @return True if this NestedInteger holds a single integer, rather than a nested list.
#        :rtype bool
#        """
#
#    def add(self, elem):
#        """
#        Set this NestedInteger to hold a nested list and adds a nested integer elem to it.
#        :rtype void
#        """
#
#    def setInteger(self, value):
#        """
#        Set this NestedInteger to hold a single integer equal to value.
#        :rtype void
#        """
#
#    def getInteger(self):
#        """
#        @return the single integer that this NestedInteger holds, if it holds a single integer
#        Return None if this NestedInteger holds a nested list
#        :rtype int
#        """
#
#    def getList(self):
#        """
#        @return the nested list that this NestedInteger holds, if it holds a nested list
#        Return None if this NestedInteger holds a single integer
#        :rtype List[NestedInteger]
#        """

class Solution:
    def depthSumInverse(self, nestedList: List[NestedInteger]) -> int:
        self.total = 0
        max_depth = self.depth(nestedList,1)
        # print(f'max depth is {max_depth}')
        self._sum(nestedList,1,max_depth)
        return self.total
        
    def depth(self,nestedList,level):
        max_level = level
        for l in nestedList:
            if not l.isInteger():
                max_level = max(max_level, self.depth(l.getList(),level+1))
        return max_level
    
    # return total sum 
    def _sum(self,nestedList,level,max_level):
        level_sum = 0
        for l in nestedList:
            if l.isInteger():
                level_sum += l.getInteger() * (max_level- level + 1)
            else:
                self._sum(l.getList(),level+1,max_level)
            # print(f'level is {level}, level sum is {level_sum}, maxlevel is {max_level}, weigth is {max_level-  level + 1}')
        self.total += level_sum
        return