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‎book/greedy.md

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| 122 | 买卖股票的最佳时机 II | [[✓]](/problem/0122.md) | [`贪心`](/tag/greedy.md) [`数组`](/tag/array.md) [`动态规划`](/tag/dynamic-programming.md) | 🟠 | [🀄️](https://leetcode.cn/problems/best-time-to-buy-and-sell-stock-ii) [🔗](https://leetcode.com/problems/best-time-to-buy-and-sell-stock-ii) |
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| 561 | 数组拆分 | [[✓]](/problem/0561.md) | [`贪心`](/tag/greedy.md) [`数组`](/tag/array.md) [`计数排序`](/tag/counting-sort.md) `1+` | 🟢 | [🀄️](https://leetcode.cn/problems/array-partition) [🔗](https://leetcode.com/problems/array-partition) |
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| 1710 | 卡车上的最大单元数 | | [`贪心`](/tag/greedy.md) [`数组`](/tag/array.md) [`排序`](/tag/sorting.md) | 🟢 | [🀄️](https://leetcode.cn/problems/maximum-units-on-a-truck) [🔗](https://leetcode.com/problems/maximum-units-on-a-truck) |
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| 1217 | 玩筹码 | | [`贪心`](/tag/greedy.md) [`数组`](/tag/array.md) [`数学`](/tag/math.md) | 🟢 | [🀄️](https://leetcode.cn/problems/minimum-cost-to-move-chips-to-the-same-position) [🔗](https://leetcode.com/problems/minimum-cost-to-move-chips-to-the-same-position) |
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| 1217 | 玩筹码 | [[✓]](/problem/1217.md) | [`贪心`](/tag/greedy.md) [`数组`](/tag/array.md) [`数学`](/tag/math.md) | 🟢 | [🀄️](https://leetcode.cn/problems/minimum-cost-to-move-chips-to-the-same-position) [🔗](https://leetcode.com/problems/minimum-cost-to-move-chips-to-the-same-position) |
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| 1247 | 交换字符使得字符串相同 | | [`贪心`](/tag/greedy.md) [`数学`](/tag/math.md) [`字符串`](/tag/string.md) | 🟠 | [🀄️](https://leetcode.cn/problems/minimum-swaps-to-make-strings-equal) [🔗](https://leetcode.com/problems/minimum-swaps-to-make-strings-equal) |
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| 1400 | 构造 K 个回文字符串 | | [`贪心`](/tag/greedy.md) [`哈希表`](/tag/hash-table.md) [`字符串`](/tag/string.md) `1+` | 🟠 | [🀄️](https://leetcode.cn/problems/construct-k-palindrome-strings) [🔗](https://leetcode.com/problems/construct-k-palindrome-strings) |
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| 921 | 使括号有效的最少添加 | [[✓]](/problem/0921.md) | [`栈`](/tag/stack.md) [`贪心`](/tag/greedy.md) [`字符串`](/tag/string.md) | 🟠 | [🀄️](https://leetcode.cn/problems/minimum-add-to-make-parentheses-valid) [🔗](https://leetcode.com/problems/minimum-add-to-make-parentheses-valid) |

‎book/sort.md

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| 题号 | 标题 | 题解 | 标签 | 难度 | 力扣 |
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| :------: | :------ | :------: | :------ | :------: | :------: |
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| 912 | 排序数组 | | [`数组`](/tag/array.md) [`分治`](/tag/divide-and-conquer.md) [`桶排序`](/tag/bucket-sort.md) `5+` | 🟠 | [🀄️](https://leetcode.cn/problems/sort-an-array) [🔗](https://leetcode.com/problems/sort-an-array) |
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| 1122 | 数组的相对排序 | | [`数组`](/tag/array.md) [`哈希表`](/tag/hash-table.md) [`计数排序`](/tag/counting-sort.md) `1+` | 🟢 | [🀄️](https://leetcode.cn/problems/relative-sort-array) [🔗](https://leetcode.com/problems/relative-sort-array) |
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| 1122 | 数组的相对排序 | [[✓]](/problem/1122.md) | [`数组`](/tag/array.md) [`哈希表`](/tag/hash-table.md) [`计数排序`](/tag/counting-sort.md) `1+` | 🟢 | [🀄️](https://leetcode.cn/problems/relative-sort-array) [🔗](https://leetcode.com/problems/relative-sort-array) |
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* 桶排序
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‎plan/contest_list.md

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‎plan/rabbit_list.md

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| 387 | 字符串中的第一个唯一字符 | [[✓]](/problem/0387.md) | [`队列`](/tag/queue.md) [`哈希表`](/tag/hash-table.md) [`字符串`](/tag/string.md) `1+` | 🟢 | [🀄️](https://leetcode.cn/problems/first-unique-character-in-a-string) [🔗](https://leetcode.com/problems/first-unique-character-in-a-string) | 6 |
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| 173 | 二叉搜索树迭代器 | [[✓]](/problem/0173.md) | [`栈`](/tag/stack.md) [`树`](/tag/tree.md) [`设计`](/tag/design.md) `3+` | 🟠 | [🀄️](https://leetcode.cn/problems/binary-search-tree-iterator) [🔗](https://leetcode.com/problems/binary-search-tree-iterator) | 6 |
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| 17 | 电话号码的字母组合 | [[✓]](/problem/0017.md) | [`哈希表`](/tag/hash-table.md) [`字符串`](/tag/string.md) [`回溯`](/tag/backtracking.md) | 🟠 | [🀄️](https://leetcode.cn/problems/letter-combinations-of-a-phone-number) [🔗](https://leetcode.com/problems/letter-combinations-of-a-phone-number) | 6 |
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| 1200 | 最小绝对差 | | [`数组`](/tag/array.md) [`排序`](/tag/sorting.md) | 🟢 | [🀄️](https://leetcode.cn/problems/minimum-absolute-difference) [🔗](https://leetcode.com/problems/minimum-absolute-difference) | 6 |
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| 1200 | 最小绝对差 | [[✓]](/problem/1200.md) | [`数组`](/tag/array.md) [`排序`](/tag/sorting.md) | 🟢 | [🀄️](https://leetcode.cn/problems/minimum-absolute-difference) [🔗](https://leetcode.com/problems/minimum-absolute-difference) | 6 |
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| 545 | 二叉树的边界 🔒 | | [`树`](/tag/tree.md) [`深度优先搜索`](/tag/depth-first-search.md) [`二叉树`](/tag/binary-tree.md) | 🟠 | [🀄️](https://leetcode.cn/problems/boundary-of-binary-tree) [🔗](https://leetcode.com/problems/boundary-of-binary-tree) | 5 |
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| 841 | 钥匙和房间 | [[✓]](/problem/0841.md) | [`深度优先搜索`](/tag/depth-first-search.md) [`广度优先搜索`](/tag/breadth-first-search.md) [`图`](/tag/graph.md) | 🟠 | [🀄️](https://leetcode.cn/problems/keys-and-rooms) [🔗](https://leetcode.com/problems/keys-and-rooms) | 5 |
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| 1293 | 网格中的最短路径 | | [`广度优先搜索`](/tag/breadth-first-search.md) [`数组`](/tag/array.md) [`矩阵`](/tag/matrix.md) | 🔴 | [🀄️](https://leetcode.cn/problems/shortest-path-in-a-grid-with-obstacles-elimination) [🔗](https://leetcode.com/problems/shortest-path-in-a-grid-with-obstacles-elimination) | 5 |

‎plan/top_300_list.md

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<!-- prettier-ignore -->
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| 题号 | 标题 | 题解 | 标签 | 难度 | 力扣 |
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| :------: | :------ | :------: | :------ | :------: | :------: |
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| 1046 | 最后一块石头的重量 | | [`数组`](/tag/array.md) [`堆(优先队列)`](/tag/heap-priority-queue.md) | 🟢 | [🀄️](https://leetcode.cn/problems/last-stone-weight) [🔗](https://leetcode.com/problems/last-stone-weight) |
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| 1046 | 最后一块石头的重量 | [[✓]](/problem/1046.md) | [`数组`](/tag/array.md) [`堆(优先队列)`](/tag/heap-priority-queue.md) | 🟢 | [🀄️](https://leetcode.cn/problems/last-stone-weight) [🔗](https://leetcode.com/problems/last-stone-weight) |
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| 703 | 数据流中的第 K 大元素 | [[✓]](/problem/0703.md) | [`树`](/tag/tree.md) [`设计`](/tag/design.md) [`二叉搜索树`](/tag/binary-search-tree.md) `3+` | 🟢 | [🀄️](https://leetcode.cn/problems/kth-largest-element-in-a-stream) [🔗](https://leetcode.com/problems/kth-largest-element-in-a-stream) |
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| 215 | 数组中的第K个最大元素 | [[✓]](/problem/0215.md) | [`数组`](/tag/array.md) [`分治`](/tag/divide-and-conquer.md) [`快速选择`](/tag/quickselect.md) `2+` | 🟠 | [🀄️](https://leetcode.cn/problems/kth-largest-element-in-an-array) [🔗](https://leetcode.com/problems/kth-largest-element-in-an-array) |
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| 347 | 前 K 个高频元素 | [[✓]](/problem/0347.md) | [`数组`](/tag/array.md) [`哈希表`](/tag/hash-table.md) [`分治`](/tag/divide-and-conquer.md) `5+` | 🟠 | [🀄️](https://leetcode.cn/problems/top-k-frequent-elements) [🔗](https://leetcode.com/problems/top-k-frequent-elements) |
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| 628 | 三个数的最大乘积 | [[✓]](/problem/0628.md) | [`数组`](/tag/array.md) [`数学`](/tag/math.md) [`排序`](/tag/sorting.md) | 🟢 | [🀄️](https://leetcode.cn/problems/maximum-product-of-three-numbers) [🔗](https://leetcode.com/problems/maximum-product-of-three-numbers) |
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| 976 | 三角形的最大周长 | [[✓]](/problem/0976.md) | [`贪心`](/tag/greedy.md) [`数组`](/tag/array.md) [`数学`](/tag/math.md) `1+` | 🟢 | [🀄️](https://leetcode.cn/problems/largest-perimeter-triangle) [🔗](https://leetcode.com/problems/largest-perimeter-triangle) |
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| 202 | 快乐数 | [[✓]](/problem/0202.md) | [`哈希表`](/tag/hash-table.md) [`数学`](/tag/math.md) [`双指针`](/tag/two-pointers.md) | 🟢 | [🀄️](https://leetcode.cn/problems/happy-number) [🔗](https://leetcode.com/problems/happy-number) |
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| 1232 | 缀点成线 | | [`几何`](/tag/geometry.md) [`数组`](/tag/array.md) [`数学`](/tag/math.md) | 🟢 | [🀄️](https://leetcode.cn/problems/check-if-it-is-a-straight-line) [🔗](https://leetcode.com/problems/check-if-it-is-a-straight-line) |
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| 1232 | 缀点成线 | [[✓]](/problem/1232.md) | [`几何`](/tag/geometry.md) [`数组`](/tag/array.md) [`数学`](/tag/math.md) | 🟢 | [🀄️](https://leetcode.cn/problems/check-if-it-is-a-straight-line) [🔗](https://leetcode.com/problems/check-if-it-is-a-straight-line) |
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| 29 | 两数相除 | [[✓]](/problem/0029.md) | [`位运算`](/tag/bit-manipulation.md) [`数学`](/tag/math.md) | 🟠 | [🀄️](https://leetcode.cn/problems/divide-two-integers) [🔗](https://leetcode.com/problems/divide-two-integers) |
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| 343 | 整数拆分 | [[✓]](/problem/0343.md) | [`数学`](/tag/math.md) [`动态规划`](/tag/dynamic-programming.md) | 🟠 | [🀄️](https://leetcode.cn/problems/integer-break) [🔗](https://leetcode.com/problems/integer-break) |
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| 166 | 分数到小数 | | [`哈希表`](/tag/hash-table.md) [`数学`](/tag/math.md) [`字符串`](/tag/string.md) | 🟠 | [🀄️](https://leetcode.cn/problems/fraction-to-recurring-decimal) [🔗](https://leetcode.com/problems/fraction-to-recurring-decimal) |
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<!-- prettier-ignore -->
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| 题号 | 标题 | 题解 | 标签 | 难度 | 力扣 |
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| :------: | :------ | :------: | :------ | :------: | :------: |
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| 1232 | 缀点成线 | | [`几何`](/tag/geometry.md) [`数组`](/tag/array.md) [`数学`](/tag/math.md) | 🟢 | [🀄️](https://leetcode.cn/problems/check-if-it-is-a-straight-line) [🔗](https://leetcode.com/problems/check-if-it-is-a-straight-line) |
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| 1232 | 缀点成线 | [[✓]](/problem/1232.md) | [`几何`](/tag/geometry.md) [`数组`](/tag/array.md) [`数学`](/tag/math.md) | 🟢 | [🀄️](https://leetcode.cn/problems/check-if-it-is-a-straight-line) [🔗](https://leetcode.com/problems/check-if-it-is-a-straight-line) |
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| 1266 | 访问所有点的最小时间 | | [`几何`](/tag/geometry.md) [`数组`](/tag/array.md) [`数学`](/tag/math.md) | 🟢 | [🀄️](https://leetcode.cn/problems/minimum-time-visiting-all-points) [🔗](https://leetcode.com/problems/minimum-time-visiting-all-points) |
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| 892 | 三维形体的表面积 | [[✓]](/problem/0892.md) | [`几何`](/tag/geometry.md) [`数组`](/tag/array.md) [`数学`](/tag/math.md) `1+` | 🟢 | [🀄️](https://leetcode.cn/problems/surface-area-of-3d-shapes) [🔗](https://leetcode.com/problems/surface-area-of-3d-shapes) |
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| 1401 | 圆和矩形是否有重叠 | | [`几何`](/tag/geometry.md) [`数学`](/tag/math.md) | 🟠 | [🀄️](https://leetcode.cn/problems/circle-and-rectangle-overlapping) [🔗](https://leetcode.com/problems/circle-and-rectangle-overlapping) |

‎problem/0383.md

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| 题号 | 标题 | 题解 | 标签 | 难度 | 力扣 |
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| :------: | :------ | :------: | :------ | :------: | :------: |
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| 691 | 贴纸拼词 | | [`位运算`](/tag/bit-manipulation.md) [`数组`](/tag/array.md) [`字符串`](/tag/string.md) `3+` | 🔴 | [🀄️](https://leetcode.cn/problems/stickers-to-spell-word) [🔗](https://leetcode.com/problems/stickers-to-spell-word) |
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| 1160 | 拼写单词 | | [`数组`](/tag/array.md) [`哈希表`](/tag/hash-table.md) [`字符串`](/tag/string.md) `1+` | 🟢 | [🀄️](https://leetcode.cn/problems/find-words-that-can-be-formed-by-characters) [🔗](https://leetcode.com/problems/find-words-that-can-be-formed-by-characters) |
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| 1160 | 拼写单词 | [[✓]](/problem/1160.md) | [`数组`](/tag/array.md) [`哈希表`](/tag/hash-table.md) [`字符串`](/tag/string.md) `1+` | 🟢 | [🀄️](https://leetcode.cn/problems/find-words-that-can-be-formed-by-characters) [🔗](https://leetcode.com/problems/find-words-that-can-be-formed-by-characters) |

‎problem/1022.md

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---
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title: 1022. 从根到叶的二进制数之和
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description: LeetCode 1022. 从根到叶的二进制数之和题解,Sum of Root To Leaf Binary Numbers,包含解题思路、复杂度分析以及完整的 JavaScript 代码实现。
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keywords:
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- LeetCode
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- 1022. 从根到叶的二进制数之和
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- 从根到叶的二进制数之和
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- Sum of Root To Leaf Binary Numbers
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- 解题思路
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- 树
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- 深度优先搜索
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- 二叉树
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---
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# 1022. 从根到叶的二进制数之和
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🟢 <font color=#15bd66>Easy</font>&emsp; 🔖&ensp; [`树`](/tag/tree.md) [`深度优先搜索`](/tag/depth-first-search.md) [`二叉树`](/tag/binary-tree.md)&emsp; 🔗&ensp;[`力扣`](https://leetcode.cn/problems/sum-of-root-to-leaf-binary-numbers) [`LeetCode`](https://leetcode.com/problems/sum-of-root-to-leaf-binary-numbers)
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## 题目
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You are given the `root` of a binary tree where each node has a value `0` or
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`1`. Each root-to-leaf path represents a binary number starting with the most
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significant bit.
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- For example, if the path is `0 -> 1 -> 1 -> 0 -> 1`, then this could represent `01101` in binary, which is `13`.
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For all leaves in the tree, consider the numbers represented by the path from
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the root to that leaf. Return _the sum of these numbers_.
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The test cases are generated so that the answer fits in a **32-bits** integer.
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**Example 1:**
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![](https://assets.leetcode.com/uploads/2019/04/04/sum-of-root-to-leaf-binary-
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numbers.png)
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> Input: root = [1,0,1,0,1,0,1]
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>
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> Output: 22
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>
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> Explanation:(100) + (101) + (110) + (111) = 4 +たす 5 +たす 6 +たす 7 =わ 22
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**Example 2:**
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> Input: root = [0]
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>
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> Output: 0
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**Constraints:**
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- The number of nodes in the tree is in the range `[1, 1000]`.
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- `Node.val` is `0` or `1`.
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## 题目大意
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给出一棵二叉树,其上每个结点的值都是 `0` 或 `1` 。每一条从根到叶的路径都代表一个从最高有效位开始的二进制数。
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- 例如,如果路径为 `0 -> 1 -> 1 -> 0 -> 1`,那么它表示二进制数 `01101`,也就是 `13` 。
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对树上的每一片叶子,我们都要找出从根到该叶子的路径所表示的数字。
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返回这些数字之和。题目数据保证答案是一个 **32 位** 整数。
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**示例 1:**
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![](https://assets.leetcode.com/uploads/2019/04/04/sum-of-root-to-leaf-binary-
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numbers.png)
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> **输入:** root = [1,0,1,0,1,0,1]
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>
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> **输出:** 22
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>
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> **解释:**(100) + (101) + (110) + (111) = 4 +たす 5 +たす 6 +たす 7 =わ 22
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**示例 2:**
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> **输入:** root = [0]
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>
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> **输出:** 0
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**提示:**
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- 树中的节点数在 `[1, 1000]` 范围内
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- `Node.val` 仅为 `0` 或 `1`
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## 解题思路
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我们可以通过 **深度优先搜索(DFS)** 来实现这一目标。
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1. **深度优先搜索(DFS)**:
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- 从根节点开始遍历,每次向下递归时,将父节点的值左移一位(相当于将二进制数向左移动一位)后加上当前节点的值,生成新的路径值。
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- 如果当前节点是叶子节点(没有左子节点和右子节点),则将当前路径值累加到结果中。
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2. **递归传递路径值**:
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- 每次递归时,将当前路径值作为参数传递到下一层,表示从根节点到当前节点的路径值。
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- 当遍历到叶子节点时,直接将该路径值加到结果变量中。
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3. **返回结果**:
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- 遍历完整棵树后,返回累加的路径值总和。
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#### 复杂度分析
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- **时间复杂度**:`O(n)`,其中 `n` 是二叉树的节点总数,每个节点都被访问一次。
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- **空间复杂度**:`O(h)`,其中 `h` 是树的高度,递归调用栈的深度为树的高度,
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- 最坏情况下(树为链状),`h = n`;
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- 最好情况下(树为完全平衡树),`h = log(n)`。
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## 代码
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```javascript
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/**
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* @param {TreeNode} root
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* @return {number}
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*/
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var sumRootToLeaf = function (root) {
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let sum = 0; // 用于存储路径值的总和
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// 定义递归函数
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const dfs = (root, parent) => {
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if (!root) return; // 如果节点为空,直接返回
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// 更新当前路径值
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const cur = (parent << 1) | root.val;
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// 如果当前节点是叶子节点
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if (!root.left && !root.right) {
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sum += cur; // 将路径值累加到总和中
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} else {
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// 递归遍历左子树和右子树
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dfs(root.left, cur);
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dfs(root.right, cur);
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}
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};
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// 从根节点开始 DFS,初始路径值为 0
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dfs(root, 0);
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return sum; // 返回路径值的总和
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};
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```

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