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| 1 | +<p>You are given a binary array <code>nums</code> and an integer <code>k</code>.</p> |
| 2 | + |
| 3 | +<p>A <strong>k-bit flip</strong> is choosing a <strong>subarray</strong> of length <code>k</code> from <code>nums</code> and simultaneously changing every <code>0</code> in the subarray to <code>1</code>, and every <code>1</code> in the subarray to <code>0</code>.</p> |
| 4 | + |
| 5 | +<p>Return <em>the minimum number of <strong>k-bit flips</strong> required so that there is no </em><code>0</code><em> in the array</em>. If it is not possible, return <code>-1</code>.</p> |
| 6 | + |
| 7 | +<p>A <strong>subarray</strong> is a <strong>contiguous</strong> part of an array.</p> |
| 8 | + |
| 9 | +<p> </p> |
| 10 | +<p><strong class="example">Example 1:</strong></p> |
| 11 | + |
| 12 | +<pre> |
| 13 | +<strong>Input:</strong> nums = [0,1,0], k = 1 |
| 14 | +<strong>Output:</strong> 2 |
| 15 | +<strong>Explanation:</strong> Flip nums[0], then flip nums[2]. |
| 16 | +</pre> |
| 17 | + |
| 18 | +<p><strong class="example">Example 2:</strong></p> |
| 19 | + |
| 20 | +<pre> |
| 21 | +<strong>Input:</strong> nums = [1,1,0], k = 2 |
| 22 | +<strong>Output:</strong> -1 |
| 23 | +<strong>Explanation:</strong> No matter how we flip subarrays of size 2, we cannot make the array become [1,1,1]. |
| 24 | +</pre> |
| 25 | + |
| 26 | +<p><strong class="example">Example 3:</strong></p> |
| 27 | + |
| 28 | +<pre> |
| 29 | +<strong>Input:</strong> nums = [0,0,0,1,0,1,1,0], k = 3 |
| 30 | +<strong>Output:</strong> 3 |
| 31 | +<strong>Explanation:</strong> |
| 32 | +Flip nums[0],nums[1],nums[2]: nums becomes [1,1,1,1,0,1,1,0] |
| 33 | +Flip nums[4],nums[5],nums[6]: nums becomes [1,1,1,1,1,0,0,0] |
| 34 | +Flip nums[5],nums[6],nums[7]: nums becomes [1,1,1,1,1,1,1,1] |
| 35 | +</pre> |
| 36 | + |
| 37 | +<p> </p> |
| 38 | +<p><strong>Constraints:</strong></p> |
| 39 | + |
| 40 | +<ul> |
| 41 | + <li><code>1 <= nums.length <= 10<sup>5</sup></code></li> |
| 42 | + <li><code>1 <= k <= nums.length</code></li> |
| 43 | +</ul> |
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