leetcode Range Sum Query - Mutable
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原题链接:https://leetcode.com/problems/range-sum-query-mutable/
Description
Given an integer array nums, find the sum of the elements between indices i and j (i ≤ j), inclusive.
The update(i, val) function modifies nums by updating the element at index i to val.
Example:
Given nums = [1, 3, 5]
sumRange(0, 2) -> 9
update(1, 2)
sumRange(0, 2) -> 8
Note:
The array is only modifiable by the update function.
You may assume the number of calls to update and sumRange function is distributed evenly.
线段树单点更新。。
class NumArray {public: NumArray() = default; NumArray(vector<int> &nums) { n = (int)nums.size(); if (!n) return; arr = new int[n << 2]; built(1, 1, n, nums); } ~NumArray() { delete []arr; } void update(int i, int val) { update(1, 1, n, i + 1, val); } int sumRange(int i, int j) { return sumRange(1, 1, n, i + 1, j + 1); }private: int n, *arr; void built(int root, int l, int r, vector<int> &nums) { if (l == r) { arr[root] = nums[l - 1]; return; } int mid = (l + r) >> 1; built(root << 1, l, mid, nums); built(root << 1 | 1, mid + 1, r, nums); arr[root] = arr[root << 1] + arr[root << 1 | 1]; } void update(int root, int l, int r, int pos, int val) { if (pos > r || pos < l) return; if (pos <= l && pos >= r) { arr[root] = val; return; } int mid = (l + r) >> 1; update(root << 1, l, mid, pos, val); update(root << 1 | 1, mid + 1, r, pos, val); arr[root] = arr[root << 1] + arr[root << 1 | 1]; } int sumRange(int root, int l, int r, int x, int y) { if (x > r || y < l) return 0; if (x <= l && y >= r) return arr[root]; int mid = (l + r) >> 1, ret = 0; ret += sumRange(root << 1, l, mid, x, y); ret += sumRange(root << 1 | 1, mid + 1, r, x, y); return ret; }};
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