# Relative Ranks Problem

## Description

LeetCode Problem 506.

You are given an integer array score of size n, where score[i] is the score of the i^th athlete in a competition. All the scores are guaranteed to be unique.

The athletes are placed based on their scores, where the 1^st place athlete has the highest score, the 2^nd place athlete has the 2^nd highest score, and so on. The placement of each athlete determines their rank:

- The 1^st place athlete’s rank is “Gold Medal”.
- The 2^nd place athlete’s rank is “Silver Medal”.
- The 3^rd place athlete’s rank is “Bronze Medal”.
- For the 4^th place to the n^th place athlete, their rank is their placement number (i.e., the x^th place athlete’s rank is “x”).

Return an array answer of size n where answer[i] is the rank of the i^th athlete.

Example 1:

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Input: score = [5,4,3,2,1]
Output: ["Gold Medal","Silver Medal","Bronze Medal","4","5"]
Explanation: The placements are [1^st, 2^nd, 3^rd, 4^th, 5^th].

Example 2:

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Input: score = [10,3,8,9,4]
Output: ["Gold Medal","5","Bronze Medal","Silver Medal","4"]
Explanation: The placements are [1^st, 5^th, 3^rd, 2^nd, 4^th].

Constraints:

- n == score.length
- 1 <= n <= 10^4
- 0 <= score[i] <= 10^6
- All the values in score are unique.

## Sample C++ Code

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class Solution {
public:
vector<string> findRelativeRanks(vector<int>& nums) {
priority_queue<pair<int,int> > pq;
for(int i=0;i<nums.size();i++) {
pq.push(make_pair(nums[i],i));
}
vector<string> res(nums.size(),"");
int count = 1;
for(int i=0; i<nums.size();i++) {
if(count==1) {res[pq.top().second] = "Gold Medal"; count++;}
else if(count==2) {res[pq.top().second] = "Silver Medal"; count++;}
else if(count==3) {res[pq.top().second] = "Bronze Medal"; count++;}
else {res[pq.top().second] = to_string(count); count++;}
pq.pop();
}
return res;
}
};