mirror of
https://gitee.com/coder-xiaomo/leetcode-problemset
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167 lines
16 KiB
JSON
167 lines
16 KiB
JSON
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"questionId": "3279",
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"title": "Alice and Bob Playing Flower Game",
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"content": "<p>Alice and Bob are playing a turn-based game on a circular field surrounded by flowers. The circle represents the field, and there are <code>x</code> flowers in the clockwise direction between Alice and Bob, and <code>y</code> flowers in the anti-clockwise direction between them.</p>\n\n<p>The game proceeds as follows:</p>\n\n<ol>\n\t<li>Alice takes the first turn.</li>\n\t<li>In each turn, a player must choose either the clockwise or anti-clockwise direction and pick one flower from that side.</li>\n\t<li>At the end of the turn, if there are no flowers left at all, the <strong>current</strong> player captures their opponent and wins the game.</li>\n</ol>\n\n<p>Given two integers, <code>n</code> and <code>m</code>, the task is to compute the number of possible pairs <code>(x, y)</code> that satisfy the conditions:</p>\n\n<ul>\n\t<li>Alice must win the game according to the described rules.</li>\n\t<li>The number of flowers <code>x</code> in the clockwise direction must be in the range <code>[1,n]</code>.</li>\n\t<li>The number of flowers <code>y</code> in the anti-clockwise direction must be in the range <code>[1,m]</code>.</li>\n</ul>\n\n<p>Return <em>the number of possible pairs</em> <code>(x, y)</code> <em>that satisfy the conditions mentioned in the statement</em>.</p>\n\n<p> </p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> n = 3, m = 2\n<strong>Output:</strong> 3\n<strong>Explanation:</strong> The following pairs satisfy conditions described in the statement: (1,2), (3,2), (2,1).\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> n = 1, m = 1\n<strong>Output:</strong> 0\n<strong>Explanation:</strong> No pairs satisfy the conditions described in the statement.\n</pre>\n\n<p> </p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 <= n, m <= 10<sup>5</sup></code></li>\n</ul>\n",
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"(x, y) is valid if and only if they have different parities."
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