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二叉树相关 124题二叉树中的最大路径和

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	`1`	`+def maxPathSum(root):`
	`2`	`+ """`
	`3`	`+ :type root: TreeNode`
	`4`	`+ :rtype: int`
	`5`	`+ """`
	`6`	`+ max_sum = -1001`
	`7`	`+`
	`8`	`+ def division(node, max_sum):`
	`9`	`+ current_max = node.val`
	`10`	`+ left_max_sum = -1001`
	`11`	`+ right_max_sum = -1001`
	`12`	`+ left_max_path = 0`
	`13`	`+ right_max_path = 0`
	`14`	`+ if node.left is not None:`
	`15`	`+ left_max_sum, left_max_path = division(node.left, max_sum)`
	`16`	`+`
	`17`	`+ if node.right is not None:`
	`18`	`+ right_max_sum, right_max_path = division(node.right, max_sum)`
	`19`	`+`
	`20`	`+ max_path = max(current_max, current_max + left_max_path, current_max + right_max_path)`
	`21`	`+ max_sum = max(max_sum, max_path, current_max + left_max_path + right_max_path, left_max_sum, right_max_sum)`
	`22`	`+ return max_sum, max_path`
	`23`	`+`
	`24`	`+ max_sum, max_path = division(root, max_sum)`
	`25`	`+ return max(max_sum, max_path)`

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