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268. Missing Number

这道题跟 41. First Missing Positive 很像!

Given an array containing n distinct numbers taken from 0, 1, 2, …​, n, find the one that is missing from the array.

Example 1:

Input: [3,0,1]
Output: 2

Example 2:

Input: [9,6,4,2,3,5,7,0,1]
Output: 8

Note:

Your algorithm should run in linear runtime complexity. Could you implement it using only constant extra space complexity?

思路分析

  • 一刷

  • 二刷

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/**
 * Runtime: 0 ms, faster than 100.00% of Java online submissions for Missing Number.
 *
 * Memory Usage: 38.9 MB, less than 100.00% of Java online submissions for Missing Number.
 *
 * Copy from: https://leetcode.com/problems/missing-number/solution/[Missing Number solution - LeetCode]
 *
 * @author D瓜哥 · https://www.diguage.com
 * @since 2020-01-05 21:30
 */
public int missingNumber(int[] nums) {
    int actualSum = 0;
    for (int num : nums) {
        actualSum += num;
    }
    int expectSum = nums.length * (nums.length + 1) / 2;
    return expectSum - actualSum;
}

/**
 * Runtime: 7 ms, faster than 24.02% of Java online submissions for Missing Number.
 *
 * Memory Usage: 39.8 MB, less than 100.00% of Java online submissions for Missing Number.
 */
public int missingNumberSort(int[] nums) {
    if (Objects.isNull(nums) || nums.length == 0) {
        return 0;
    }
    Arrays.sort(nums);
    for (int i = 0; i < nums.length; i++) {
        if (nums[i] != i) {
            return i;
        }
    }
    if (nums[nums.length - 1] == nums.length - 1) {
        return nums.length;
    }
    return -1;
}
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/**
 * 循环排序的解法
 *
 * @author D瓜哥 · https://www.diguage.com
 * @since 2024-08-29 19:07:11
 */
public int missingNumber(int[] nums) {
  int n = nums.length;
  for (int i = 0; i < n; i++) {
    if (nums[i] != i && nums[i] < n) {
      swap(nums, nums[i], i--);
    }
  }
  for (int i = 0; i < n; i++) {
    if (nums[i] != i) {
      return i;
    }
  }
  return n;
}

private void swap(int[] nums, int i, int j) {
  int temp = nums[i];
  nums[i] = nums[j];
  nums[j] = temp;
}