leetcode-problemset/leetcode-cn/originData/count-submatrices-with-equal-frequency-of-x-and-y.json

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        "question": {
            "questionId": "3492",
            "questionFrontendId": "3212",
            "categoryTitle": "Algorithms",
            "boundTopicId": 2832457,
            "title": "Count Submatrices With Equal Frequency of X and Y",
            "titleSlug": "count-submatrices-with-equal-frequency-of-x-and-y",
            "content": "<p>Given a 2D character matrix <code>grid</code>, where <code>grid[i][j]</code> is either <code>&#39;X&#39;</code>, <code>&#39;Y&#39;</code>, or <code>&#39;.&#39;</code>, return the number of <span data-keyword=\"submatrix\">submatrices</span> that contain:</p>\n\n<ul>\n\t<li><code>grid[0][0]</code></li>\n\t<li>an <strong>equal</strong> frequency of <code>&#39;X&#39;</code> and <code>&#39;Y&#39;</code>.</li>\n\t<li><strong>at least</strong> one <code>&#39;X&#39;</code>.</li>\n</ul>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<div class=\"example-block\">\n<p><strong>Input:</strong> <span class=\"example-io\">grid = [[&quot;X&quot;,&quot;Y&quot;,&quot;.&quot;],[&quot;Y&quot;,&quot;.&quot;,&quot;.&quot;]]</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">3</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<p><strong><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2024/06/07/examplems.png\" style=\"padding: 10px; background: rgb(255, 255, 255); border-radius: 0.5rem; width: 175px; height: 350px;\" /></strong></p>\n</div>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<div class=\"example-block\">\n<p><strong>Input:</strong> <span class=\"example-io\">grid = [[&quot;X&quot;,&quot;X&quot;],[&quot;X&quot;,&quot;Y&quot;]]</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">0</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<p>No submatrix has an equal frequency of <code>&#39;X&#39;</code> and <code>&#39;Y&#39;</code>.</p>\n</div>\n\n<p><strong class=\"example\">Example 3:</strong></p>\n\n<div class=\"example-block\">\n<p><strong>Input:</strong> <span class=\"example-io\">grid = [[&quot;.&quot;,&quot;.&quot;],[&quot;.&quot;,&quot;.&quot;]]</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">0</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<p>No submatrix has at least one <code>&#39;X&#39;</code>.</p>\n</div>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= grid.length, grid[i].length &lt;= 1000</code></li>\n\t<li><code>grid[i][j]</code> is either <code>&#39;X&#39;</code>, <code>&#39;Y&#39;</code>, or <code>&#39;.&#39;</code>.</li>\n</ul>\n",
            "translatedTitle": "统计 X 和 Y 频数相等的子矩阵数量",
            "translatedContent": "<p>给你一个二维字符矩阵 <code>grid</code>，其中 <code>grid[i][j]</code> 可能是 <code>'X'</code>、<code>'Y'</code> 或 <code>'.'</code>，返回满足以下条件的<span data-keyword=\"submatrix\">子矩阵</span>数量：</p>\n\n<ul>\n\t<li>包含 <code>grid[0][0]</code></li>\n\t<li><code>'X'</code> 和 <code>'Y'</code> 的频数相等。</li>\n\t<li>至少包含一个 <code>'X'</code>。</li>\n</ul>\n\n<p>&nbsp;</p>\n\n<p><strong class=\"example\">示例 1：</strong></p>\n\n<div class=\"example-block\">\n<p><strong>输入：</strong> <span class=\"example-io\">grid = [[\"X\",\"Y\",\".\"],[\"Y\",\".\",\".\"]]</span></p>\n\n<p><strong>输出：</strong> <span class=\"example-io\">3</span></p>\n\n<p><strong>解释：</strong></p>\n\n<p><strong><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2024/06/07/examplems.png\" style=\"padding: 10px; background: rgb(255, 255, 255); border-radius: 0.5rem; width: 175px; height: 350px;\" /></strong></p>\n</div>\n\n<p><strong class=\"example\">示例 2：</strong></p>\n\n<div class=\"example-block\">\n<p><strong>输入：</strong> <span class=\"example-io\">grid = [[\"X\",\"X\"],[\"X\",\"Y\"]]</span></p>\n\n<p><strong>输出：</strong> <span class=\"example-io\">0</span></p>\n\n<p><strong>解释：</strong></p>\n\n<p>不存在满足 <code>'X'</code> 和 <code>'Y'</code> 频数相等的子矩阵。</p>\n</div>\n\n<p><strong class=\"example\">示例 3：</strong></p>\n\n<div class=\"example-block\">\n<p><strong>输入：</strong> <span class=\"example-io\">grid = [[\".\",\".\"],[\".\",\".\"]]</span></p>\n\n<p><strong>输出：</strong> <span class=\"example-io\">0</span></p>\n\n<p><strong>解释：</strong></p>\n\n<p>不存在满足至少包含一个 <code>'X'</code> 的子矩阵。</p>\n</div>\n\n<p>&nbsp;</p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= grid.length, grid[i].length &lt;= 1000</code></li>\n\t<li><code>grid[i][j]</code> 可能是 <code>'X'</code>、<code>'Y'</code> 或 <code>'.'</code>.</li>\n</ul>\n",
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            "hints": [
                "Replace <code>’X’</code> with 1, <code>’Y’</code> with -1 and <code>’.’</code> with 0.",
                "You need to find how many submatrices <code>grid[0..x][0..y]</code> have a sum of 0 and at least one <code>’X’</code>.",
                "Use prefix sum to calculate submatrices sum."
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