{"id":47960,"date":"2025-07-30T10:02:23","date_gmt":"2025-07-30T02:02:23","guid":{"rendered":"https:\/\/www.wsisp.com\/helps\/47960.html"},"modified":"2025-07-30T10:02:23","modified_gmt":"2025-07-30T02:02:23","slug":"%e4%bb%a3%e7%a0%81%e9%9a%8f%e6%83%b3%e5%bd%95%e7%ae%97%e6%b3%95%e8%ae%ad%e7%bb%83%e8%90%a514%e5%a4%a9-513-%e6%89%be%e6%a0%91%e5%b7%a6%e4%b8%8b%e8%a7%92%e7%9a%84%e5%80%bc%e3%80%8111","status":"publish","type":"post","link":"https:\/\/www.wsisp.com\/helps\/47960.html","title":{"rendered":"\u4ee3\u7801\u968f\u60f3\u5f55\u7b97\u6cd5\u8bad\u7ec3\u842514\u5929 | \u200b\u200b513.\u627e\u6811\u5de6\u4e0b\u89d2\u7684\u503c\u3001112.\u8def\u5f84\u603b\u548c\u3001113.\u8def\u5f84\u603b\u548cii\u3001106.\u4ece\u4e2d\u5e8f\u4e0e\u540e\u5e8f\u904d\u5386\u5e8f\u5217\u6784\u9020\u4e8c\u53c9\u6811\u3001105.\u4ece\u524d\u5e8f\u4e0e\u4e2d\u5e8f\u904d\u5386\u5e8f\u5217\u6784\u9020\u4e8c\u53c9\u6811"},"content":{"rendered":"
\u9898\u76ee\u94fe\u63a5：513.\u627e\u6811\u5de6\u4e0b\u89d2\u7684\u503c\u3001112.\u8def\u5f84\u603b\u548c\u3001113.\u8def\u5f84\u603b\u548cii\u3001106.\u4ece\u4e2d\u5e8f\u4e0e\u540e\u5e8f\u904d\u5386\u5e8f\u5217\u6784\u9020\u4e8c\u53c9\u6811\u3001105.\u4ece\u524d\u5e8f\u4e0e\u4e2d\u5e8f\u904d\u5386\u5e8f\u5217\u6784\u9020\u4e8c\u53c9\u6811<\/h5>\n
\u6587\u7ae0\u94fe\u63a5：\u4ee3\u7801\u968f\u60f3\u5f55<\/h5>\n<\/p>\n

\u4e8c\u53c9\u6811<\/h2>\n
\n

<\/h3>\n

1.\u00a0\u627e\u6811\u5de6\u4e0b\u89d2\u7684\u503c<\/h2>\n

（\u5f85\u66f4\u65b0…）<\/p>\n

\/\/\u8fed\u4ee3\u6cd5（\u7531\u4e8e\u5c42\u5e8f\u904d\u5386\u662f\u6309\u5c42\u904d\u5386\u7684，\u53ea\u9700\u8981\u83b7\u53d6\u6700\u540e\u4e00\u884c\u7684\u7b2c\u4e00\u4e2a\u8282\u70b9\u503c\u5373\u53ef）<\/p>\n

class Solution {
\npublic:
\n int findBottomLeftValue(TreeNode* root) {
\n queue<TreeNode*> que;
\n int result = 0;<\/p>\n

que.push(root); \/\/\u9898\u76ee\u4fdd\u8bc1\u4e8c\u53c9\u6811\u81f3\u5c11\u6709\u4e00\u4e2a\u8282\u70b9，\u56e0\u6b64\u53ef\u4ee5\u4e0d\u5224\u65ad\u6839\u8282\u70b9\u662f\u5426\u4e3a\u7a7a<\/p>\n

while(!que.empty()) {
\n int size = que.size();<\/p>\n

for(int i = 0; i < size; i++) {
\n TreeNode* node = que.front();
\n que.pop();<\/p>\n

if(i == 0) result = node -> val;<\/p>\n

if(node -> left) que.push(node -> left);
\n if(node -> right) que.push(node -> right);
\n }
\n }<\/p>\n

return result;
\n }
\n};
\n\/\/\u9012\u5f52\u6cd5（\u672c\u9898\u610f\u5728\u5bfb\u627e\u6df1\u5ea6\u6700\u5927\u7684\u6700\u9760\u5de6\u7684\u53f6\u5b50\u8282\u70b9，\u56e0\u6b64\u4f18\u5148\u5de6\u904d\u5386，\u7531\u4e8e\u4e0d\u9700\u8981\u5bf9\u4e2d\u95f4\u8282\u70b9\u5904\u7406，\u56e0\u6b64\u524d\u4e2d\u540e\u5e8f\u904d\u5386\u90fd\u53ef\u4ee5，\u4fdd\u8bc1\u5de6\u904d\u5386\u4f18\u5148\u5373\u53ef）
\n\/\/\u6ce8\u610f：\u6df1\u5ea6\u6700\u5927\u7684\u6700\u9760\u5de6\u7684\u53f6\u5b50\u8282\u70b9\u4e0d\u4e00\u5b9a\u5c31\u662f\u5de6\u5b69\u5b50<\/p>\n

class Solution {
\npublic:
\n \/\/\u5b9a\u4e49\u5168\u5c40\u53d8\u91cf
\n int maxDepth = INT_MIN; \/\/\u6700\u5927\u6df1\u5ea6
\n int result = 0; \/\/\u6700\u5927\u6df1\u5ea6\u6700\u9760\u5de6\u7684\u8282\u70b9\u503c<\/p>\n

void traversal(TreeNode* root, int depth) {
\n \/\/\u7ec8\u6b62\u6761\u4ef6：\u904d\u5386\u5230\u53f6\u5b50\u8282\u70b9，\u5224\u65ad\u5f53\u524d\u53f6\u5b50\u8282\u70b9\u7684\u6df1\u5ea6\u662f\u5426\u4e3a\u6700\u5927\u6df1\u5ea6，\u5982\u679c\u662f，\u5219\u66f4\u65b0result\u548cmaxDepth
\n if(root -> left == nullptr && root -> right == nullptr) {
\n if(depth > maxDepth) {
\n result = root -> val;
\n maxDepth = depth;
\n }
\n return;
\n }<\/p>\n

\/\/\u5de6\u904d\u5386
\n \/\/\u4ee3\u7801\u6574\u4f53\u53ef\u7cbe\u7b80\u4e3atraversal(root -> left, depth + 1);
\n if(root -> left) {
\n depth++;
\n traversal(root -> left, depth);
\n depth–; \/\/\u56de\u6eaf，\u6df1\u5ea6-1
\n }<\/p>\n

\/\/\u53f3\u904d\u5386
\n \/\/\u4ee3\u7801\u6574\u4f53\u53ef\u7cbe\u7b80\u4e3atraversal(root -> left, depth + 1);
\n if(root -> right) {
\n depth++;
\n traversal(root -> right, depth);
\n depth–; \/\/\u56de\u6eaf，\u6df1\u5ea6-1
\n }<\/p>\n

return;
\n }<\/p>\n

int findBottomLeftValue(TreeNode* root) {
\n int depth = 0;
\n traversal(root, depth);
\n return result;
\n }
\n}; <\/p>\n

\n

\u00a02.\u00a0\u8def\u5f84\u603b\u548c<\/h2>\n

（\u5f85\u66f4\u65b0…）<\/p>\n

\/\/\u9012\u5f52\u6cd5<\/p>\n

class Solution {
\nprivate:
\n bool traversal(TreeNode* cur, int count) {
\n \/\/\u7ec8\u6b62\u6761\u4ef6：\u9047\u5230\u53f6\u5b50\u8282\u70b9
\n \/\/\u5982\u679c\u8ba1\u6570\u5668\u5df2\u51cf\u4e3a0，\u8bf4\u660e\u8be5\u8def\u5f84\u6240\u6709\u8282\u70b9\u503c\u76f8\u52a0\u4e0e\u76ee\u6807\u548c\u76f8\u7b49，\u8fd4\u56detrue；\u5426\u5219\u8fd4\u56defalse
\n if(cur -> left == nullptr && cur -> right == nullptr && count == 0) return true;
\n if(cur -> left == nullptr && cur -> right == nullptr && count != 0) return false;<\/p>\n

\/\/\u5355\u6b21\u9012\u5f52：\u5224\u65ad\u7a7a\u8282\u70b9
\n \/\/\u6d89\u53ca\u5230\u56de\u6eaf
\n if(cur -> left) {
\n count -= cur -> left -> val; \/\/\u5148\u5904\u7406\u8282\u70b9
\n if(traversal(cur -> left, count)) return true;
\n count += cur -> left -> val; \/\/\u5904\u7406\u5b8c\u56de\u6eaf，\u64a4\u9500\u5904\u7406\u7ed3\u679c
\n }<\/p>\n

if(cur -> right) {
\n count -= cur -> right -> val; \/\/\u5148\u5904\u7406\u8282\u70b9
\n if(traversal(cur -> right, count)) return true;
\n count += cur -> right -> val; \/\/\u5904\u7406\u5b8c\u56de\u6eaf，\u64a4\u9500\u5904\u7406\u7ed3\u679c
\n }<\/p>\n

return false;
\n }<\/p>\n

public:
\n bool hasPathSum(TreeNode* root, int targetSum) {
\n if(root == nullptr) return false;
\n return traversal(root, targetSum – root -> val); \/\/\u76ee\u6807\u503c\u51cf\u53bb\u6839\u8282\u70b9\u503c，\u7ed3\u679c\u4f5c\u4e3a\u51fd\u6570\u53c2\u6570，\u4f5c\u7528\u662f\u8ba1\u6570\u5668
\n }
\n};
\n\/\/\u8fed\u4ee3\u6cd5
\n\/\/\u961f\u5217\u4e2d\u7684\u6bcf\u4e00\u4e2a\u5143\u7d20\u65e2\u8981\u8bb0\u5f55\u8282\u70b9\u6307\u9488，\u53c8\u8981\u8bb0\u5f55\u4ece\u5934\u8282\u70b9\u5230\u8be5\u8282\u70b9\u7684\u8def\u5f84\u6570\u503c\u603b\u548c
\n\/\/\u56e0\u6b64，\u5229\u7528Pair\u7ed3\u6784\u6765\u5b58\u653e\u961f\u5217\u4e2d\u7684\u5143\u7d20
\n\/\/\u5b9a\u4e49\u4e3a：pair<Treenode*, int>(\u8282\u70b9\u6307\u9488，\u8def\u5f84\u6570\u503c)<\/p>\n

class Solution {
\npublic:
\n bool hasPathSum(TreeNode* root, int targetSum) {
\n if(root == nullptr) return false;<\/p>\n

\/\/\u961f\u5217\u4e2d\u5b58\u653e\u7684\u662fpair<Treenode*, int>
\n queue<pair<TreeNode*, int>> que;
\n que.push(pair<TreeNode*, int>(root, root -> val));<\/p>\n

while(!que.empty()) {
\n pair<TreeNode*, int> node = que.front();
\n que.pop();<\/p>\n

\/\/\u5982\u679c\u904d\u5386\u5230\u53f6\u5b50\u8282\u70b9\u4e14\u8be5\u8282\u70b9\u6240\u8bb0\u5f55\u7684\u8def\u5f84\u6570\u503c\u7b49\u4e8e\u76ee\u6807\u503c，\u5219\u76f4\u63a5\u8fd4\u56detrue
\n if(!node.first -> left && !node.first -> right && node.second == targetSum)
\n return true;<\/p>\n

\/\/\u8bb0\u5f55\u5de6\u5b69\u5b50\u8282\u70b9，\u9664\u4e86\u5b58\u653e\u5de6\u5b69\u5b50\u8282\u70b9\u6307\u9488，\u8fd8\u8981\u5b58\u653e\u8be5\u8282\u70b9\u6240\u5bf9\u5e94\u7684\u8def\u5f84\u6570\u503c
\n if(node.first -> left)
\n que.push(pair<TreeNode*, int>(node.first -> left, node.second + node.first -> left -> val));
\n \/\/\u8bb0\u5f55\u53f3\u5b69\u5b50\u8282\u70b9，\u9664\u4e86\u5b58\u653e\u53f3\u5b69\u5b50\u8282\u70b9\u6307\u9488，\u8fd8\u8981\u5b58\u653e\u8be5\u8282\u70b9\u6240\u5bf9\u5e94\u7684\u8def\u5f84\u6570\u503c
\n if(node.first -> right)
\n que.push(pair<TreeNode*, int>(node.first -> right, node.second + node.first -> right -> val));
\n }<\/p>\n

return false;
\n }
\n}; <\/p>\n

\n

3.\u00a0\u8def\u5f84\u603b\u548cii<\/h3>\n

（\u5f85\u66f4\u65b0…）<\/p>\n

\/\/\u9012\u5f52\u6cd5（\u57fa\u4e8e\u201c112.\u8def\u5f84\u603b\u548c\u201d\u7684\u4ee3\u7801\u5b9e\u73b0\u57fa\u7840）<\/p>\n

class Solution {
\nprivate:
\n \/\/\u5168\u5c40\u53d8\u91cf：result\u5b58\u653e\u7ed3\u679c，path\u5b58\u653e\u5355\u6761\u8def\u5f84
\n vector<vector<int>> result;
\n vector<int> path;<\/p>\n

\/\/\u9012\u5f52\u9700\u8981\u904d\u5386\u6574\u4e2a\u4e8c\u53c9\u6811，\u56e0\u6b64\u4e0d\u9700\u8981\u8fd4\u56de\u503c
\n void traversal(TreeNode* cur, int count) {
\n \/\/\u5f53\u904d\u5386\u5230\u53f6\u5b50\u8282\u70b9\u4e14\u627e\u5230\u8def\u5f84\u6570\u503c\u4e3atargetSum\u8def\u5f84，\u5c06\u8be5\u8def\u5f84\u5b58\u5165\u7ed3\u679c
\n if(!cur -> left && ! cur -> right && count == 0) {
\n result.push_back(path);
\n return;
\n }
\n \/\/\u5f53\u904d\u5386\u5230\u53f6\u5b50\u8282\u70b9\u4f46\u8be5\u8def\u5f84\u4e0d\u6ee1\u8db3\u6761\u4ef6，\u76f4\u63a5\u8fd4\u56de
\n if(!cur -> left && !cur -> right && count != 0) return;<\/p>\n

\/\/\u5de6\u904d\u5386
\n if(cur -> left) {
\n path.push_back(cur -> left -> val);
\n traversal(cur -> left, count – cur -> left -> val); \/\/\u8fd9\u91cc\u65e2\u6709\u9012\u5f52\u53c8\u6709\u56de\u6eaf
\n path.pop_back(); \/\/\u56de\u6eaf
\n }<\/p>\n

\/\/\u53f3\u904d\u5386
\n if(cur -> right) {
\n path.push_back(cur -> right -> val);
\n traversal(cur -> right, count – cur -> right -> val); \/\/\u8fd9\u91cc\u65e2\u6709\u9012\u5f52\u53c8\u6709\u56de\u6eaf
\n path.pop_back(); \/\/\u56de\u6eaf
\n }<\/p>\n

return;
\n }<\/p>\n

public:
\n vector<vector<int>> pathSum(TreeNode* root, int targetSum) {
\n result.clear();
\n path.clear();<\/p>\n

if(root == nullptr) return result;
\n path.push_back(root -> val); \/\/\u5148\u5b58\u5165\u6839\u8282\u70b9
\n traversal(root, targetSum – root -> val);
\n return result;
\n }
\n}; <\/p>\n

\n

4.\u00a0\u4ece\u4e2d\u5e8f\u4e0e\u540e\u5e8f\u904d\u5386\u5e8f\u5217\u6784\u9020\u4e8c\u53c9\u6811<\/h3>\n

（\u5f85\u66f4\u65b0…）<\/p>\n<\/p>\n

\n

5.\u00a0\u4ece\u524d\u5e8f\u4e0e\u4e2d\u5e8f\u904d\u5386\u5e8f\u5217\u6784\u9020\u4e8c\u53c9\u6811<\/h2>\n

（\u5f85\u66f4\u65b0…）<\/p>\n<\/p>\n

\n

\u00a0\u76f8\u5173\u9898\u76ee\u548c\u540e\u7eed\u63d0\u9ad8：<\/p>\n<\/p>\n

\n

\u5fc3\u5f97：<\/h3>\n","protected":false},"excerpt":{"rendered":"

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