Description
https://leetcode.com/problems/rank-transform-of-an-array/
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
Explanation
Find and build a map of number’s orders and create a list of orders base on the original list.
Python Solution
class Solution:
def arrayRankTransform(self, arr: List[int]) -> List[int]:
arr_set = set(arr)
sorted_arr = sorted(list(arr_set))
num_map = {}
for i, num in enumerate(sorted_arr):
num_map[num] = i + 1
results = []
for num in arr:
results.append(num_map[num])
return results
- Time Complexity: O(N).
- Space Complexity: O(N).