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[LintCode] Minimum Size Subarray Sum 最小子数组和的大小

發布時間:2024/1/17 编程问答 29 豆豆
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Given an array of n positive integers and a positive integer s, find the minimal length of a subarray of which the sum ≥ s. If there isn't one, return -1 instead.

Have you met this question in a real interview? Example

Given the array [2,3,1,2,4,3] and s = 7, the subarray [4,3] has the minimal length under the problem constraint.

Challenge

If you have figured out the O(n) solution, try coding another solution of which the time complexity is O(n log n).

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LeetCode上的原題,請參見我之前的博客Minimum Size Subarray Sum。

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解法一:

class Solution { public:/*** @param nums: a vector of integers* @param s: an integer* @return: an integer representing the minimum size of subarray*/int minimumSize(vector<int> &nums, int s) {int res = INT_MAX, sum = 0, left = 0;for (int i = 0; i < nums.size(); ++i) {sum += nums[i];if (sum >= s) {while (left < i && sum >= s) {res = min(res, i - left + 1);sum -= nums[left++];}}}return res == INT_MAX ? -1 : res;} };

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解法二:

class Solution { public:/*** @param nums: a vector of integers* @param s: an integer* @return: an integer representing the minimum size of subarray*/int minimumSize(vector<int> &nums, int s) {int res = INT_MAX, n = nums.size();vector<int> sums(n + 1, 0);for (int i = 1; i < n + 1; ++i) sums[i] = sums[i - 1] + nums[i - 1];for (int i = 0; i < n + 1; ++i) {int left = i + 1, right = n, t = sums[i] + s;while (left <= right) {int mid = left + (right - left) / 2;if (sums[mid] < t) left = mid + 1;else right = mid - 1;}if (left == n + 1) break;res = min(res, left - i);}return res == INT_MAX ? -1 : res;} };

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