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leetcode-problemset/leetcode/originData/minimum-swaps-to-arrange-a-binary-grid.json
2022-05-02 23:44:12 +08:00

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JSON

{
"data": {
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"title": "Minimum Swaps to Arrange a Binary Grid",
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"content": "<p>Given an <code>n x n</code> binary <code>grid</code>, in one step you can choose two <strong>adjacent rows</strong> of the grid and swap them.</p>\n\n<p>A grid is said to be <strong>valid</strong> if all the cells above the main diagonal are <strong>zeros</strong>.</p>\n\n<p>Return <em>the minimum number of steps</em> needed to make the grid valid, or <strong>-1</strong> if the grid cannot be valid.</p>\n\n<p>The main diagonal of a grid is the diagonal that starts at cell <code>(1, 1)</code> and ends at cell <code>(n, n)</code>.</p>\n\n<p>&nbsp;</p>\n<p><strong>Example 1:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2020/07/28/fw.jpg\" style=\"width: 750px; height: 141px;\" />\n<pre>\n<strong>Input:</strong> grid = [[0,0,1],[1,1,0],[1,0,0]]\n<strong>Output:</strong> 3\n</pre>\n\n<p><strong>Example 2:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2020/07/16/e2.jpg\" style=\"width: 270px; height: 270px;\" />\n<pre>\n<strong>Input:</strong> grid = [[0,1,1,0],[0,1,1,0],[0,1,1,0],[0,1,1,0]]\n<strong>Output:</strong> -1\n<strong>Explanation:</strong> All rows are similar, swaps have no effect on the grid.\n</pre>\n\n<p><strong>Example 3:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2020/07/16/e3.jpg\" style=\"width: 200px; height: 200px;\" />\n<pre>\n<strong>Input:</strong> grid = [[1,0,0],[1,1,0],[1,1,1]]\n<strong>Output:</strong> 0\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>n == grid.length</code> <code>== grid[i].length</code></li>\n\t<li><code>1 &lt;= n &lt;= 200</code></li>\n\t<li><code>grid[i][j]</code> is either <code>0</code> or <code>1</code></li>\n</ul>\n",
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"hints": [
"For each row of the grid calculate the most right 1 in the grid in the array maxRight.",
"To check if there exist answer, sort maxRight and check if maxRight[i] ≤ i for all possible i's.",
"If there exist an answer, simulate the swaps."
],
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