- Max Consecutive Ones III
Medium
Given a binary array nums and an integer k, return the maximum number of consecutive 1’s in the array if you can flip at most k 0’s.
Example 1:
Input: nums = [1,1,1,0,0,0,1,1,1,1,0], k = 2
Output: 6
Explanation: [1,1,1,0,0,1,1,1,1,1,1]
Bolded numbers were flipped from 0 to 1. The longest subarray is underlined.
Example 2:
Input: nums = [0,0,1,1,0,0,1,1,1,0,1,1,0,0,0,1,1,1,1], k = 3
Output: 10
Explanation: [0,0,1,1,1,1,1,1,1,1,1,1,0,0,0,1,1,1,1]
Bolded numbers were flipped from 0 to 1. The longest subarray is underlined.
Constraints:
1 <= nums.length <= 105
nums[i] is either 0 or 1.
0 <= k <= nums.length
解法1：直接套用滑动窗口模板
注意：为什么这题可以用滑动窗口，而Leetcode 1124. Longest Well-Performing Interval 这题就不能用呢？
因为这题的滑动窗口满足单调性，即右指针移动直到当前窗口不合格时(即flipCount>k)，再移动右指针，当前窗口肯定还是不合格(因为flipCount还是>k)。而Leetcode1124里面，当我们移动右指针直到当前窗口不合格时(即>8小时的天数小于等于<=8小时的天数)，再移动右值时，当前窗口可能又合格了，因为又加入了更多的>8小时的天数。
另外，如果不能用滑动窗口，那我们还是可以用前缀和数组+hashmap来处理。
class Solution {
public:int longestOnes(vector<int>& nums, int k) {int n = nums.size();int left = 0, right = 0;int res = 0, flipCount = 0;while (right < n) {if (nums[right] == 0) flipCount++;right++;while (left < right && flipCount > k) { //注意left<right，不是left<=right。flipCount>k不是>=,因为=是合法窗口，不需要收缩左边界。if (nums[left] == 0) flipCount--;left++;}res = max(res, right - left);}return res;}
};
)
