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解码异或后的数组

仲灏2022-11-07约 1 分钟

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解码异或后的数组

CategoryDifficultyLikesDislikes
algorithmsEasy (86.42%)106-

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未知 整数数组 arrn 个非负整数组成。

经编码后变为长度为 n - 1 的另一个整数数组 encoded ,其中 encoded[i] = arr[i] XOR arr[i + 1] 。例如,arr = [1,0,2,1] 经编码后得到 encoded = [1,2,3]

给你编码后的数组 encoded 和原数组 arr 的第一个元素 firstarr[0])。

请解码返回原数组 arr 。可以证明答案存在并且是唯一的。

示例 1:

输入:encoded = [1,2,3], first = 1
输出:[1,0,2,1]
解释:若 arr = [1,0,2,1] ,那么 first = 1 且 encoded = [1 XOR 0, 0 XOR 2, 2 XOR 1] = [1,2,3]

示例 2:

输入:encoded = [6,2,7,3], first = 4
输出:[4,2,0,7,4]

提示:

  • 2 <= n <= 104
  • encoded.length == n - 1
  • 0 <= encoded[i] <= 105
  • 0 <= first <= 105

Discussion | Solution


tsx
/*
 * @Author: 仲灏<izhaong@outlook.com>🌶🌶🌶
 * @Date: 2022-11-07 10:08:15
 * @LastEditTime: 2022-11-07 10:29:12
 * @LastEditors: 仲灏<izhaong@outlook.com>🌶🌶🌶
 * @Description:  
 * @FilePath: /leetcode/1720.解码异或后的数组.ts
 */
/*
 * @lc app=leetcode.cn id=1720 lang=typescript
 *
 * [1720] 解码异或后的数组
 *
 * https://leetcode.cn/problems/decode-xored-array/description/
 *
 * algorithms
 * Easy (86.42%)
 * Likes:    106
 * Dislikes: 0
 * Total Accepted:    53.1K
 * Total Submissions: 61.4K
 * Testcase Example:  '[1,2,3]\n1'
 *
 * 未知 整数数组 arr 由 n 个非负整数组成。
 *
 * 经编码后变为长度为 n - 1 的另一个整数数组 encoded ,其中 encoded[i] = arr[i] XOR arr[i + 1]
 * 。例如,arr = [1,0,2,1] 经编码后得到 encoded = [1,2,3] 。
 *
 * 给你编码后的数组 encoded 和原数组 arr 的第一个元素 first(arr[0])。
 *
 * 请解码返回原数组 arr 。可以证明答案存在并且是唯一的。
 *
 *
 *
 * 示例 1:
 *
 *
 * 输入:encoded = [1,2,3], first = 1
 * 输出:[1,0,2,1]
 * 解释:若 arr = [1,0,2,1] ,那么 first = 1 且 encoded = [1 XOR 0, 0 XOR 2, 2 XOR 1] =
 * [1,2,3]
 *
 *
 * 示例 2:
 *
 *
 * 输入:encoded = [6,2,7,3], first = 4
 * 输出:[4,2,0,7,4]
 *
 *
 *
 *
 * 提示:
 *
 *
 * 2
 * encoded.length == n - 1
 * 0
 * 0
 *
 *
 */

// @lc code=start
function decode(encoded: number[], first: number): number[] {
  const decodeLen = encoded.length + 1;
  const decodeArr = new Array(decodeLen);
  decodeArr[0] = first;
  for (let i = 1; i < decodeLen; i++) {
    decodeArr[i] = decodeArr[i - 1] ^ encoded[i - 1];
  }
  return decodeArr;
}
// @lc code=end