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Description

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

Solutions

Python3

class Solution:
    def arrayRankTransform(self, arr: List[int]) -> List[int]:
        t = sorted(set(arr))
        return [bisect_left(t, x) + 1 for x in arr]
class Solution:
    def arrayRankTransform(self, arr: List[int]) -> List[int]:
        m = {v: i for i, v in enumerate(sorted(set(arr)), 1)}
        return [m[v] for v in arr]

Java

class Solution {
    public int[] arrayRankTransform(int[] arr) {
        Set<Integer> s = new HashSet<>();
        for (int v : arr) {
            s.add(v);
        }
        List<Integer> alls = new ArrayList<>(s);
        alls.sort((a, b) -> a - b);
        Map<Integer, Integer> m = new HashMap<>();
        for (int i = 0; i < alls.size(); ++i) {
            m.put(alls.get(i), i + 1);
        }
        int[] ans = new int[arr.length];
        for (int i = 0; i < arr.length; ++i) {
            ans[i] = m.get(arr[i]);
        }
        return ans;
    }
}
class Solution {
    public int[] arrayRankTransform(int[] arr) {
        Set<Integer> s = new HashSet<>();
        for (int v : arr) {
            s.add(v);
        }
        List<Integer> alls = new ArrayList<>(s);
        alls.sort((a, b) -> a - b);
        int n = arr.length;
        int[] ans = new int[n];
        for (int i = 0; i < n; ++i) {
            ans[i] = Collections.binarySearch(alls, arr[i]) + 1;
        }
        return ans;
    }
}

C++

class Solution {
public:
    vector<int> arrayRankTransform(vector<int>& arr) {
        unordered_set<int> s(arr.begin(), arr.end());
        vector<int> alls(s.begin(), s.end());
        sort(alls.begin(), alls.end());
        unordered_map<int, int> m;
        for (int i = 0; i < alls.size(); ++i) m[alls[i]] = i + 1;
        vector<int> ans;
        for (int v : arr) ans.push_back(m[v]);
        return ans;
    }
};
class Solution {
public:
    vector<int> arrayRankTransform(vector<int>& arr) {
        unordered_set<int> s(arr.begin(), arr.end());
        vector<int> alls(s.begin(), s.end());
        sort(alls.begin(), alls.end());
        vector<int> ans;
        for (int v: arr) ans.push_back(lower_bound(alls.begin(), alls.end(), v) - alls.begin() + 1);
        return ans;
    }
};

Go

func arrayRankTransform(arr []int) []int {
	s := make(map[int]bool)
	for _, v := range arr {
		s[v] = true
	}
	var alls []int
	for v := range s {
		alls = append(alls, v)
	}
	sort.Ints(alls)
	m := make(map[int]int)
	for i, v := range alls {
		m[v] = i + 1
	}
	var ans []int
	for _, v := range arr {
		ans = append(ans, m[v])
	}
	return ans
}

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