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Given an array of n positive integers and a positive integer s, find the minimal length of a contiguous subarray of which the sum ≥ s. If there isn’t one, return 0 instead.
Example:
Input: s = 7, nums = [2,3,1,2,4,3]Output: 2Explanation: the subarray [4,3] has the minimal length under the problem constraint.Follow up:If you have figured out the O(n) solution, try coding another solution of which the time complexity is O(n log n).
难度:medium
题目:给定一个包含正整数的数组和一个正整数 s,找出最小长度且元素相连的子数组使得其和大于 s. 如果不存在这样的子数组,则返回 0.
思路:滑动伸缩窗口。滑动窗口左边界为 start index, 右边界为 i, 窗口为 [start index, i].
Runtime: 2 ms, faster than 99.88% of Java online submissions for Minimum Size Subarray Sum.
class Solution {
// O(2n)
public int minSubArrayLen(int s, int[] nums) {
int sum = 0, startIdx = 0;
int minLen = nums.length + 1;
for (int i = 0; i < nums.length; i++) {
sum += nums[i];
if (sum >= s) {
// shrink window
while (startIdx <= i && sum >= s) {
minLen = Math.min(minLen, i – startIdx + 1);
sum -= nums[startIdx++];
}
}
}
return minLen > nums.length ? 0 : minLen;
}
}