Given an array of integers arr
, replace each element with its rank.
The rank represents how large the element is. The rank has the following rules:
- Rank is an integer starting from 1.
- The larger the element, the larger the rank. If two elements are equal, their rank must be the same.
- Rank should be as small as possible.
Example 1:
Input: arr = [40,10,20,30] Output: [4,1,2,3] Explanation: 40 is the largest element. 10 is the smallest. 20 is the second smallest. 30 is the third smallest.
Example 2:
Input: arr = [100,100,100] Output: [1,1,1] Explanation: Same elements share the same rank.
Example 3:
Input: arr = [37,12,28,9,100,56,80,5,12] Output: [5,3,4,2,8,6,7,1,3]
Constraints:
0 <= arr.length <= 105
-109 <= arr[i] <= 109
Related Topics:
Array
// OJ: https://leetcode.com/problems/rank-transform-of-an-array/
// Author: github.com/lzl124631x
// Time: O(NlogN)
// Space: O(N)
class Solution {
public:
vector<int> arrayRankTransform(vector<int>& arr) {
set<int> s(arr.begin(), arr.end());
unordered_map<int, int> m;
vector<int> ans(arr.size(), 0);
int i = 0;
for (auto it = s.begin(); it != s.end(); ++it) m[*it] = ++i;
for (int j = 0; j < arr.size(); ++j) ans[j] = m[arr[j]];
return ans;
}
};