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  1. Array

# 268 Missing Number.

換個想法快超級多,可以先從總和下去想

Previous# 229 Majority Element IINext# 299 Bulls and Cows (有圖)

Last updated 5 years ago

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Given an array containing n distinct numbers taken from 0, 1, 2, ..., n, 
find the one that is missing from the array.
input: 一串數字陣列
output: 找出消失的那個
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?

/**
 * @param {number[]} nums
 * @return {number}
 */
var missingNumber = function(nums) {
    
};

怎麼解

第一個想法是先排序後前後比對,但這樣會用到 時間複雜度 Big O (n²), 其實可以先算出總長度,再減掉 input 就可以找到消失那個值!以 [3, 0, 1] 來說,

  • 我一開始就會知道 length = 3,所以總和是 (1+3)*3/2 = 6

  • 6 - 3 - 0 - 1 = 2,所以是 2 消失了

var missingNumber = function(nums) {
  let len = nums.length
  let correctSum = (1 + len)*len/2
  let currentSum = nums.reduce((a, b) => a + b);
  return correctSum - currentSum;
};
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