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34 lines
1.7 KiB
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34 lines
1.7 KiB
HTML
<p>A <code>k x k</code> <strong>magic square</strong> is a <code>k x k</code> grid filled with integers such that every row sum, every column sum, and both diagonal sums are <strong>all equal</strong>. The integers in the magic square <strong>do not have to be distinct</strong>. Every <code>1 x 1</code> grid is trivially a <strong>magic square</strong>.</p>
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<p>Given an <code>m x n</code> integer <code>grid</code>, return <em>the <strong>size</strong> (i.e., the side length </em><code>k</code><em>) of the <strong>largest magic square</strong> that can be found within this grid</em>.</p>
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<p> </p>
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<p><strong class="example">Example 1:</strong></p>
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<img alt="" src="https://assets.leetcode.com/uploads/2021/05/29/magicsquare-grid.jpg" style="width: 413px; height: 335px;" />
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<pre>
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<strong>Input:</strong> grid = [[7,1,4,5,6],[2,5,1,6,4],[1,5,4,3,2],[1,2,7,3,4]]
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<strong>Output:</strong> 3
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<strong>Explanation:</strong> The largest magic square has a size of 3.
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Every row sum, column sum, and diagonal sum of this magic square is equal to 12.
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- Row sums: 5+1+6 = 5+4+3 = 2+7+3 = 12
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- Column sums: 5+5+2 = 1+4+7 = 6+3+3 = 12
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- Diagonal sums: 5+4+3 = 6+4+2 = 12
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</pre>
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<p><strong class="example">Example 2:</strong></p>
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<img alt="" src="https://assets.leetcode.com/uploads/2021/05/29/magicsquare2-grid.jpg" style="width: 333px; height: 255px;" />
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<pre>
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<strong>Input:</strong> grid = [[5,1,3,1],[9,3,3,1],[1,3,3,8]]
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<strong>Output:</strong> 2
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</pre>
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<p> </p>
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<p><strong>Constraints:</strong></p>
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<ul>
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<li><code>m == grid.length</code></li>
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<li><code>n == grid[i].length</code></li>
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<li><code>1 <= m, n <= 50</code></li>
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<li><code>1 <= grid[i][j] <= 10<sup>6</sup></code></li>
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</ul>
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