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437. Path Sum III

Medium

Given the root of a binary tree and an integer targetSum, return the number of paths where the sum of the values along the path equals targetSum.

The path does not need to start or end at the root or a leaf, but it must go downwards (i.e., traveling only from parent nodes to child nodes).

Example 1:

Input: root = [10,5,-3,3,2,null,11,3,-2,null,1], targetSum = 8

Output: 3

Explanation: The paths that sum to 8 are shown.

Example 2:

Input: root = [5,4,8,11,null,13,4,7,2,null,null,5,1], targetSum = 22

Output: 3

Constraints:

  • The number of nodes in the tree is in the range [0, 1000].
  • -109 <= Node.val <= 109
  • -1000 <= targetSum <= 1000

Solution

type TreeNode struct {
	Val   int
	Left  *TreeNode
	Right *TreeNode
}

/**
 * Definition for a binary tree node.
 * type TreeNode struct {
 *     Val int
 *     Left *TreeNode
 *     Right *TreeNode
 * }
 */
func pathSum(root *TreeNode, targetSum int) int {
	mp := make(map[int]int)
	mp[0] = 1

	return solve(root, 0, targetSum, mp)
}

func solve(root *TreeNode, currSum, target int, mp map[int]int) int {
	if root == nil {
		return 0
	}

	currSum += root.Val
	res := 0
	if val, ok := mp[currSum-target]; ok {
		res = val
	}
	if val, ok := mp[currSum]; ok {
		mp[currSum] = val + 1
	} else {
		mp[currSum] = 1
	}

	res += solve(root.Left, currSum, target, mp) + solve(root.Right, currSum, target, mp)
	if val, ok := mp[currSum]; ok {
		mp[currSum] = val - 1
	}

	return res
}