mirror of
https://gitee.com/coder-xiaomo/leetcode-problemset
synced 2025-11-04 11:43:12 +08:00
42 lines
1.7 KiB
HTML
42 lines
1.7 KiB
HTML
<p>You are given an array of integers <code>nums</code> represents the numbers written on a chalkboard.</p>
|
|
|
|
<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>
|
|
|
|
<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>
|
|
|
|
<p>Return <code>true</code> <em>if and only if Alice wins the game, assuming both players play optimally</em>.</p>
|
|
|
|
<p> </p>
|
|
<p><strong>Example 1:</strong></p>
|
|
|
|
<pre>
|
|
<strong>Input:</strong> nums = [1,1,2]
|
|
<strong>Output:</strong> false
|
|
<strong>Explanation:</strong>
|
|
Alice has two choices: erase 1 or erase 2.
|
|
If 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.
|
|
If 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.
|
|
</pre>
|
|
|
|
<p><strong>Example 2:</strong></p>
|
|
|
|
<pre>
|
|
<strong>Input:</strong> nums = [0,1]
|
|
<strong>Output:</strong> true
|
|
</pre>
|
|
|
|
<p><strong>Example 3:</strong></p>
|
|
|
|
<pre>
|
|
<strong>Input:</strong> nums = [1,2,3]
|
|
<strong>Output:</strong> true
|
|
</pre>
|
|
|
|
<p> </p>
|
|
<p><strong>Constraints:</strong></p>
|
|
|
|
<ul>
|
|
<li><code>1 <= nums.length <= 1000</code></li>
|
|
<li><code>0 <= nums[i] < 2<sup>16</sup></code></li>
|
|
</ul>
|