###### tags: `Leetcode` `easy` `sort` `python` `c++` # 1365. How Many Numbers Are Smaller Than the Current Number ## [題目連結:] https://leetcode.com/problems/how-many-numbers-are-smaller-than-the-current-number/description/ ## 題目: Given the array ```nums```, for each ```nums[i]``` find out how many numbers in the array are smaller than it. That is, for each ```nums[i]``` you have to count the number of valid ```j's``` such that ```j != i``` **and** **nums[j] < nums[i]**. Return the answer in an array. **Example 1:** ``` Input: nums = [8,1,2,2,3] Output: [4,0,1,1,3] Explanation: For nums[0]=8 there exist four smaller numbers than it (1, 2, 2 and 3). For nums[1]=1 does not exist any smaller number than it. For nums[2]=2 there exist one smaller number than it (1). For nums[3]=2 there exist one smaller number than it (1). For nums[4]=3 there exist three smaller numbers than it (1, 2 and 2). ``` **Example 2:** ``` Input: nums = [6,5,4,8] Output: [2,1,0,3] ``` **Example 3:** ``` Input: nums = [7,7,7,7] Output: [0,0,0,0] ``` ## 解題想法: * 此題為求,對於每個nums[i],找出數組中有多少個數小於它。 * 作法: * 先排序 * 排序好後第一次出現的位子即為小於該數的總數 ``` python= nums=[8,1,2,2,3] tmp=sorted(nums)=[1,2,2,3,8] pos= 0 1 2 3 4 tmp= 1 2 2 3 8 for pos,val in enumerate(nums): res[pos]=tmp.index(val) ``` ## Python: ``` python= from collections import defaultdict class Solution(object): def smallerNumbersThanCurrent(self, nums): """ :type nums: List[int] :rtype: List[int] """ #sort+search #O(nlogn+n) res=[0 for _ in range(len(nums))] tmp=sorted(nums) #排序好後第一次出現的位子即為小於該數的總數 for pos,val in enumerate(nums): res[pos]=tmp.index(val) return res ``` ## C++: * c++的vector沒有像python的list一樣可以使用index查元素的位置:"( ``` cpp= class Solution { public: vector<int> smallerNumbersThanCurrent(vector<int>& nums) { vector<int> res(nums.size(),0); vector<int> tmp(nums); sort(tmp.begin(), tmp.end()); for (int i=0; i<nums.size(); i++){ for (int j=0; j<tmp.size(); j++){ if (nums[i]==tmp[j]){ res[i]=j; break; } } } return res; } }; ```