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leetcode-problemset/leetcode-cn/originData/toeplitz-matrix.json
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"questionId": "777",
"questionFrontendId": "766",
"categoryTitle": "Algorithms",
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"title": "Toeplitz Matrix",
"titleSlug": "toeplitz-matrix",
"content": "<p>Given an <code>m x n</code> <code>matrix</code>, return&nbsp;<em><code>true</code>&nbsp;if the matrix is Toeplitz. Otherwise, return <code>false</code>.</em></p>\n\n<p>A matrix is <strong>Toeplitz</strong> if every diagonal from top-left to bottom-right has the same elements.</p>\n\n<p>&nbsp;</p>\n<p><strong>Example 1:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2020/11/04/ex1.jpg\" style=\"width: 322px; height: 242px;\" />\n<pre>\n<strong>Input:</strong> matrix = [[1,2,3,4],[5,1,2,3],[9,5,1,2]]\n<strong>Output:</strong> true\n<strong>Explanation:</strong>\nIn the above grid, the&nbsp;diagonals are:\n&quot;[9]&quot;, &quot;[5, 5]&quot;, &quot;[1, 1, 1]&quot;, &quot;[2, 2, 2]&quot;, &quot;[3, 3]&quot;, &quot;[4]&quot;.\nIn each diagonal all elements are the same, so the answer is True.\n</pre>\n\n<p><strong>Example 2:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2020/11/04/ex2.jpg\" style=\"width: 162px; height: 162px;\" />\n<pre>\n<strong>Input:</strong> matrix = [[1,2],[2,2]]\n<strong>Output:</strong> false\n<strong>Explanation:</strong>\nThe diagonal &quot;[1, 2]&quot; has different elements.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>m == matrix.length</code></li>\n\t<li><code>n == matrix[i].length</code></li>\n\t<li><code>1 &lt;= m, n &lt;= 20</code></li>\n\t<li><code>0 &lt;= matrix[i][j] &lt;= 99</code></li>\n</ul>\n\n<p>&nbsp;</p>\n<p><strong>Follow up:</strong></p>\n\n<ul>\n\t<li>What if the <code>matrix</code> is stored on disk, and the memory is limited such that you can only load at most one row of the matrix into the memory at once?</li>\n\t<li>What if the <code>matrix</code> is so large that you can only load up a partial row into the memory at once?</li>\n</ul>\n",
"translatedTitle": "托普利茨矩阵",
"translatedContent": "<p>给你一个 <code>m x n</code> 的矩阵 <code>matrix</code> 。如果这个矩阵是托普利茨矩阵,返回 <code>true</code> ;否则,返回<em> </em><code>false</code><em> 。</em></p>\n\n<p>如果矩阵上每一条由左上到右下的对角线上的元素都相同,那么这个矩阵是<em> </em><strong>托普利茨矩阵</strong> 。</p>\n\n<p> </p>\n\n<p><strong>示例 1</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2020/11/04/ex1.jpg\" style=\"width: 322px; height: 242px;\" />\n<pre>\n<strong>输入:</strong>matrix = [[1,2,3,4],[5,1,2,3],[9,5,1,2]]\n<strong>输出:</strong>true\n<strong>解释:</strong>\n在上述矩阵中, 其对角线为: \n\"[9]\", \"[5, 5]\", \"[1, 1, 1]\", \"[2, 2, 2]\", \"[3, 3]\", \"[4]\"。 \n各条对角线上的所有元素均相同, 因此答案是 True 。\n</pre>\n\n<p><strong>示例 2</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2020/11/04/ex2.jpg\" style=\"width: 162px; height: 162px;\" />\n<pre>\n<strong>输入:</strong>matrix = [[1,2],[2,2]]\n<strong>输出:</strong>false\n<strong>解释:</strong>\n对角线 \"[1, 2]\" 上的元素不同。</pre>\n\n<p> </p>\n\n<p><strong>提示:</strong></p>\n\n<ul>\n\t<li><code>m == matrix.length</code></li>\n\t<li><code>n == matrix[i].length</code></li>\n\t<li><code>1 <= m, n <= 20</code></li>\n\t<li><code>0 <= matrix[i][j] <= 99</code></li>\n</ul>\n\n<p> </p>\n\n<p><strong>进阶:</strong></p>\n\n<ul>\n\t<li>如果矩阵存储在磁盘上,并且内存有限,以至于一次最多只能将矩阵的一行加载到内存中,该怎么办?</li>\n\t<li>如果矩阵太大,以至于一次只能将不完整的一行加载到内存中,该怎么办?</li>\n</ul>\n",
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