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Given a binary tree, find the length of the longest path where each node in the path has the same value. This path may or may not pass through the root.
Note: The length of path between two nodes is represented by the number of edges between them.
Example 1:
Input:
5 / \ 4 5 / \ \ 1 1 5Output:
2Example 2:
Input:
1 / \ 4 5 / \ \ 4 4 5Output:
2Note: The given binary tree has not more than 10000 nodes. The height of the tree is not more than 1000.
给定一个二叉树，找到最长的路径，这个路径中的每个节点具有相同值。 这条路径可以经过也可以不经过根节点。
注意：两个节点之间的路径长度由它们之间的边数表示。
示例 1:
输入:
5 / \ 4 5 / \ \ 1 1 5输出:
2示例 2:
输入:
1 / \ 4 5 / \ \ 4 4 5输出:
2注意: 给定的二叉树不超过10000个结点。 树的高度不超过1000。
360ms
1 class Solution 2 { 3 /* Wrapper Function */ 4 func countUnivaluedTrees( _ rootNode: TreeNode ) -> Int 5 { 6 var isUnivalue: Bool = true 7 let leftResult: Int 8 let rightResult: Int 9 if let leftChild: TreeNode = rootNode.left 10 { 11 leftResult = countUnivaluedTrees( leftChild ) 12 if leftResult > 1 || rootNode.val != leftChild.val 13 { 14 isUnivalue = false 15 } 16 } 17 else 18 { 19 leftResult = 0 20 } 21 22 if let rightChild: TreeNode = rootNode.right 23 { 24 rightResult = countUnivaluedTrees( rightChild ) 25 if rightResult > 1 || rootNode.val != rightChild.val 26 { 27 isUnivalue = false 28 } 29 } 30 else 31 { 32 rightResult = 0 33 } 34 if isUnivalue 35 { 36 return 1 37 } 38 else 39 { 40 return ( leftResult + rightResult ) 41 } 42 } 43 44 /* Wrapper Function */ 45 func longestUnivaluePath( _ root: TreeNode? ) -> Int 46 { 47 /* Recursive Traversal 1 */ 48 func traverseTreeR1( _ root: TreeNode ) 49 -> ( longestUnivaluedWalk: Int, longestUnivaluedPath: Int ) 50 { 51 /* Partial Results */ 52 var childCount: Int = 0 53 var leftLongestUnivaluedWalk: Int = 0 54 var rightlongestUnivaluedWalk: Int = 0 55 let longestUnivaluedWalk: Int 56 let longestRootUnivaluedPath: Int 57 var longestUnivaluedPath: Int = 0 58 59 /* Left Child */ 60 61 if let leftChild: TreeNode = root.left 62 { 63 childCount += 1 64 let leftResult = traverseTreeR1( leftChild ) 65 if root.val == leftChild.val 66 { 67 leftLongestUnivaluedWalk = ( leftResult.longestUnivaluedWalk ) 68 } 69 longestUnivaluedPath = max( longestUnivaluedPath, leftResult.longestUnivaluedPath ) 70 } 71 72 /* Right Child */ 73 if let rightChild: TreeNode = root.right 74 { 75 childCount += 1 76 let rightResult = traverseTreeR1( rightChild ) 77 if root.val == rightChild.val 78 { 79 rightlongestUnivaluedWalk = ( rightResult.longestUnivaluedWalk ) 80 } 81 longestUnivaluedPath = max( longestUnivaluedPath, rightResult.longestUnivaluedPath ) 82 } 83 84 /* Construct Result */ 85 longestUnivaluedWalk = 1 + max( leftLongestUnivaluedWalk, rightlongestUnivaluedWalk ) 86 longestRootUnivaluedPath = ( leftLongestUnivaluedWalk + rightlongestUnivaluedWalk + 1 ) 87 longestUnivaluedPath = max( longestUnivaluedPath, longestRootUnivaluedPath ) 88 return ( longestUnivaluedWalk, longestUnivaluedPath ) 89 } 90 91 /* Recursive Traversal 2 */ 92 func traverseTreeR2( _ root: TreeNode ) 93 -> ( longestUnivaluedWalk: Int, longestUnivaluedPath: Int ) 94 { 95 var longestRootUnivaluedPath: Int = 1 96 var longestUnivaluedWalk: Int = 1 97 var longestUnivaluedPath: Int = 1 98 if let left = root.left 99 { 100 let leftResult = traverseTreeR2( left ) 101 if root.val == left.val 102 { 103 longestRootUnivaluedPath += leftResult.longestUnivaluedWalk 104 longestUnivaluedWalk = max( longestUnivaluedWalk, 1 + leftResult.longestUnivaluedWalk ) 105 } 106 longestUnivaluedPath = max( longestUnivaluedPath, leftResult.longestUnivaluedPath ) 107 } 108 if let right = root.right 109 { 110 let rightResult = traverseTreeR2( right ) 111 if root.val == right.val 112 { 113 longestRootUnivaluedPath += rightResult.longestUnivaluedWalk 114 longestUnivaluedWalk = max( longestUnivaluedWalk, 1 + rightResult.longestUnivaluedWalk ) 115 116 } 117 longestUnivaluedPath = max( longestUnivaluedPath, rightResult.longestUnivaluedPath ) 118 } 119 longestUnivaluedPath = max( longestUnivaluedPath, longestRootUnivaluedPath ) 120 return ( longestUnivaluedWalk, longestUnivaluedPath ) 121 } 122 123 /* Get Result */ 124 let result: Int 125 if let root = root 126 { 127 let traversalResult = traverseTreeR2( root ) 128 result = ( traversalResult.longestUnivaluedPath - 1 ) 129 } 130 else 131 { 132 result = 0 133 } 134 return result 135 } 136 }396ms
1 /** 2 * Definition for a binary tree node. 3 * public class TreeNode { 4 * public var val: Int 5 * public var left: TreeNode? 6 * public var right: TreeNode? 7 * public init(_ val: Int) { 8 * self.val = val 9 * self.left = nil 10 * self.right = nil 11 * } 12 * } 13 */ 14 class Solution { 15 func longestUnivaluePath(_ root: TreeNode?) -> Int { 16 _ = longestUnivaluePathAtNode(root) 17 return result 18 } 19 20 var result: Int = 0 21 22 func longestUnivaluePathAtNode(_ root: TreeNode?) -> Int { 23 guard let root = root else { 24 return 0 25 } 26 27 let left = longestUnivaluePathAtNode(root.left) 28 let right = longestUnivaluePathAtNode(root.right) 29 30 var leftValue = 0 31 var rightValue = 0 32 if root.left != nil { 33 if root.val == root.left!.val { 34 leftValue = 1 + left 35 } 36 } 37 38 if root.right != nil { 39 if root.val == root.right!.val { 40 rightValue = 1 + right 41 } 42 } 43 44 result = max(result, leftValue + rightValue) 45 return max(leftValue, rightValue) 46 } 47 }400ms
1 /** 2 * Definition for a binary tree node. 3 * public class TreeNode { 4 * public var val: Int 5 * public var left: TreeNode? 6 * public var right: TreeNode? 7 * public init(_ val: Int) { 8 * self.val = val 9 * self.left = nil 10 * self.right = nil 11 * } 12 * } 13 */ 14 class Solution { 15 func longestUnivaluePath(_ root: TreeNode?) -> Int { 16 guard let root = root else { 17 return 0 18 } 19 20 return length(root, val: root.val).maxLen 21 } 22 23 private func length(_ node: TreeNode?, val: Int) -> (len: Int, maxLen: Int) { 24 guard let node = node else { 25 return (0,0) 26 } 27 28 let left = length(node.left, val: node.val) 29 let right = length(node.right, val: node.val) 30 let maxLen = max(max(right.maxLen, left.len + right.len), max(left.maxLen, left.len + right.len)) 31 32 if node.val == val { 33 return (max(left.len, right.len) + 1, maxLen) 34 } 35 36 return (0, maxLen) 37 } 38 }428ms
1 /** 2 * Definition for a binary tree node. 3 * public class TreeNode { 4 * public var val: Int 5 * public var left: TreeNode? 6 * public var right: TreeNode? 7 * public init(_ val: Int) { 8 * self.val = val 9 * self.left = nil 10 * self.right = nil 11 * } 12 * } 13 */ 14 class Solution { 15 func longestUnivaluePath(_ root: TreeNode?) -> Int { 16 var longest = 0 17 arrowLength(root, longest: &longest) 18 return longest 19 } 20 21 func arrowLength(_ root: TreeNode?, longest: inout Int) -> Int { 22 guard let root = root else { return 0 } 23 24 let leftLength = arrowLength(root.left, longest: &longest) 25 let rightLength = arrowLength(root.right, longest: &longest) 26 var leftArrow = 0, rightArrow = 0 27 28 if let left = root.left, left.val == root.val { 29 leftArrow = leftLength + 1 30 } 31 32 if let right = root.right, right.val == root.val { 33 rightArrow += rightLength + 1 34 } 35 36 longest = max(longest, leftArrow + rightArrow) 37 return max(leftArrow, rightArrow) 38 } 39 }440ms
1 class Solution { 2 3 var q = Queue() 4 var longest = 0 5 func longestUnivaluePath(_ root: TreeNode?) -> Int { 6 guard let root = root else{ 7 return 0 8 } 9 q.enqueue(root) 10 11 while(q.count != 0){ 12 let node: TreeNode = q.dequeue() 13 let numEdge = FindPath(node, node, node.val, 0, 0) 14 if(numEdge > longest){ 15 longest = numEdge 16 } 17 } 18 return longest 19 } 20 21 func FindPath(_ root: TreeNode, _ node: TreeNode, _ value: Int, _ leftSum: Int, _ rightSum: Int)->Int{ 22 var leftSum = leftSum 23 var rightSum = rightSum 24 if let left = node.left { 25 if left.val == value{ 26 leftSum += FindPath(root, left, node.val, leftSum, 0) + 1 27 }else{ 28 q.enqueue(left) 29 } 30 } 31 if let right = node.right{ 32 if right.val == value{ 33 rightSum += FindPath(root, right, node.val, 0, rightSum) + 1 34 }else{ 35 q.enqueue(right) 36 } 37 38 } 39 40 if(node !== root){ 41 return max(leftSum, rightSum) 42 }else{ 43 return leftSum + rightSum 44 } 45 46 } 47 48 } 49 50 class Queue{ 51 var ar = [TreeNode]() 52 var count: Int { 53 return ar.count 54 } 55 56 func enqueue(_ n: TreeNode){ 57 self.ar.append(n) 58 } 59 60 func dequeue() -> TreeNode{ 61 let node = ar[0] 62 self.ar.remove(at: 0) 63 return node 64 } 65 }464ms
1 class Solution { 2 func longestPath(_ root: TreeNode?, _ ans: inout Int) -> Int { 3 guard let node = root else { return 0 } 4 5 let nodeLeft = longestPath(node.left, &ans) 6 let nodeRight = longestPath(node.right, &ans) 7 8 var left = 0 9 var right = 0 10 11 if node.left != nil && node.left!.val == node.val { 12 left += nodeLeft + 1 13 } 14 if node.right != nil && node.right!.val == node.val { 15 right += nodeRight + 1 16 } 17 18 ans = Swift.max(ans, left+right) 19 20 return Swift.max(left, right) 21 } 22 23 func longestUnivaluePath(_ root: TreeNode?) -> Int { 24 guard let node = root else { return 0 } 25 var ans = 0 26 27 longestPath(node, &ans) 28 29 return ans 30 } 31 }484ms
1 class Solution { 2 func longestUnivaluePath(_ root: TreeNode?) -> Int { 3 var longest = 0 4 longestValHelper(root, longest: &longest) 5 return longest 6 } 7 8 func longestValHelper(_ root: TreeNode?, longest: inout Int) { 9 10 guard let root = root else { return } 11 let left = maxVal(root.left, val: root.val) 12 let right = maxVal(root.right, val: root.val) 13 longest = max(left + right, longest) 14 longestValHelper(root.left, longest: &longest) 15 longestValHelper(root.right, longest: &longest) 16 } 17 18 func maxVal(_ root: TreeNode?, val: Int) -> Int { 19 guard let root = root else { return 0 } 20 21 if root.val == val { 22 return 1 + max(maxVal(root.left, val: val), maxVal(root.right, val: val)) 23 } else { 24 return 0 25 } 26 } 27 }
转载于:https://www.cnblogs.com/strengthen/p/10500771.html
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