leetcode-problemset/leetcode-cn/originData/chalkboard-xor-game.json

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            "title": "Chalkboard XOR Game",
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            "content": "<p>You are given an array of integers <code>nums</code> represents the numbers written on a chalkboard.</p>\n\n<p>Alice and Bob take turns erasing exactly one number from the chalkboard, with Alice starting first. If erasing a number causes the bitwise XOR of all the elements of the chalkboard to become <code>0</code>, then that player loses. The bitwise XOR of one element is that element itself, and the bitwise XOR of no elements is <code>0</code>.</p>\n\n<p>Also, if any player starts their turn with the bitwise XOR of all the elements of the chalkboard equal to <code>0</code>, then that player wins.</p>\n\n<p>Return <code>true</code> <em>if and only if Alice wins the game, assuming both players play optimally</em>.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [1,1,2]\n<strong>Output:</strong> false\n<strong>Explanation:</strong> \nAlice has two choices: erase 1 or erase 2. \nIf she erases 1, the nums array becomes [1, 2]. The bitwise XOR of all the elements of the chalkboard is 1 XOR 2 = 3. Now Bob can remove any element he wants, because Alice will be the one to erase the last element and she will lose. \nIf Alice erases 2 first, now nums become [1, 1]. The bitwise XOR of all the elements of the chalkboard is 1 XOR 1 = 0. Alice will lose.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [0,1]\n<strong>Output:</strong> true\n</pre>\n\n<p><strong class=\"example\">Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [1,2,3]\n<strong>Output:</strong> true\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= nums.length &lt;= 1000</code></li>\n\t<li><code>0 &lt;= nums[i] &lt; 2<sup>16</sup></code></li>\n</ul>\n",
            "translatedTitle": "黑板异或游戏",
            "translatedContent": "<p>黑板上写着一个非负整数数组 <code>nums[i]</code> 。</p>\n\n<p>Alice 和 Bob 轮流从黑板上擦掉一个数字，Alice 先手。如果擦除一个数字后，剩余的所有数字按位异或运算得出的结果等于 <code>0</code> 的话，当前玩家游戏失败。&nbsp;另外，如果只剩一个数字，按位异或运算得到它本身；如果无数字剩余，按位异或运算结果为&nbsp;<code>0</code>。</p>\n\n<p>并且，轮到某个玩家时，如果当前黑板上所有数字按位异或运算结果等于 <code>0</code> ，这个玩家获胜。</p>\n\n<p>假设两个玩家每步都使用最优解，当且仅当 Alice 获胜时返回 <code>true</code>。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1：</strong></p>\n\n<pre>\n<strong>输入:</strong> nums = [1,1,2]\n<strong>输出:</strong> false\n<strong>解释:</strong> \nAlice 有两个选择: 擦掉数字 1 或 2。\n如果擦掉 1, 数组变成 [1, 2]。剩余数字按位异或得到 1 XOR 2 = 3。那么 Bob 可以擦掉任意数字，因为 Alice 会成为擦掉最后一个数字的人，她总是会输。\n如果 Alice 擦掉 2，那么数组变成[1, 1]。剩余数字按位异或得到 1 XOR 1 = 0。Alice 仍然会输掉游戏。\n</pre>\n\n<p><strong>示例 2:</strong></p>\n\n<pre>\n<strong>输入:</strong> nums = [0,1]\n<strong>输出:</strong> true\n</pre>\n\n<p><strong>示例 3:</strong></p>\n\n<pre>\n<strong>输入:</strong> nums = [1,2,3]\n<strong>输出:</strong> true\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= nums.length &lt;= 1000</code></li>\n\t<li><code>0 &lt;= nums[i] &lt; 2<sup>16</sup></code></li>\n</ul>\n",
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