1734:解码异或后的排列

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huangge1199@hotmail.com 2021-05-11 21:23:59 +08:00
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//给你一个整数数组 perm 它是前 n 个正整数的排列 n 是个 奇数
//
// 它被加密成另一个长度为 n - 1 的整数数组 encoded 满足 encoded[i] = perm[i] XOR perm[i + 1] 比方说
//如果 perm = [1,3,2] 那么 encoded = [2,1]
//
// 给你 encoded 数组请你返回原始数组 perm 题目保证答案存在且唯一
//
//
//
// 示例 1
//
// 输入encoded = [3,1]
//输出[1,2,3]
//解释如果 perm = [1,2,3] 那么 encoded = [1 XOR 2,2 XOR 3] = [3,1]
//
//
// 示例 2
//
// 输入encoded = [6,5,4,6]
//输出[2,4,1,5,3]
//
//
//
//
// 提示
//
//
// 3 <= n < 105
// n 是奇数
// encoded.length == n - 1
//
// Related Topics 位运算
// 👍 106 👎 0
package leetcode.editor.cn;
//1734:解码异或后的排列
public class DecodeXoredPermutation {
public static void main(String[] args) {
//测试代码
Solution solution = new DecodeXoredPermutation().new Solution();
}
//力扣代码
//leetcode submit region begin(Prohibit modification and deletion)
class Solution {
public int[] decode(int[] encoded) {
int length = encoded.length + 1;
int total = 0;
int odd = 0;
for (int i = 1; i <= length; i++) {
total ^= i;
if (i % 2 == 1 && i < length - 1) {
odd ^= encoded[i];
}
}
int[] perm = new int[length];
perm[0] = total ^ odd;
for (int i = 0; i < length - 1; i++) {
perm[i + 1] = perm[i] ^ encoded[i];
}
return perm;
}
}
//leetcode submit region end(Prohibit modification and deletion)
}

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<p>给你一个整数数组 <code>perm</code> ,它是前 <code>n</code> 个正整数的排列,且 <code>n</code> 是个 <strong>奇数</strong> 。</p>
<p>它被加密成另一个长度为 <code>n - 1</code> 的整数数组 <code>encoded</code> ,满足 <code>encoded[i] = perm[i] XOR perm[i + 1]</code> 。比方说,如果 <code>perm = [1,3,2]</code> ,那么 <code>encoded = [2,1]</code> 。</p>
<p>给你 <code>encoded</code> 数组,请你返回原始数组 <code>perm</code> 。题目保证答案存在且唯一。</p>
<p> </p>
<p><strong>示例 1</strong></p>
<pre><b>输入:</b>encoded = [3,1]
<b>输出:</b>[1,2,3]
<b>解释:</b>如果 perm = [1,2,3] ,那么 encoded = [1 XOR 2,2 XOR 3] = [3,1]
</pre>
<p><strong>示例 2</strong></p>
<pre><b>输入:</b>encoded = [6,5,4,6]
<b>输出:</b>[2,4,1,5,3]
</pre>
<p> </p>
<p><strong>提示:</strong></p>
<ul>
<li><code>3 &lt;= n &lt; 10<sup>5</sup></code></li>
<li><code>n</code> 是奇数。</li>
<li><code>encoded.length == n - 1</code></li>
</ul>
<div><div>Related Topics</div><div><li>位运算</li></div></div>\n<div><li>👍 106</li><li>👎 0</li></div>

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