Optimal sort

#include <bits/stdc++.h>
using namespace std;
int minSwaps(vector<int> nums, int n)
{
    int len = n;
    map<int, int> map;
    for (int i = 0; i < len; i++)
        map[nums[i]] = i;

    sort(nums.begin(), nums.end());
    vector<bool> visited (n,false);

    int ans = 0;
    for (int i = 0; i < len; i++) {
        if (visited[i] || map[nums[i]] == i)
            continue;

        int j = i, cycle_size = 0;
        while (!visited[j]) {
            visited[j] = true;

            j = map[nums[j]];
            cycle_size++;
        }

        if (cycle_size > 0) {
            ans += (cycle_size - 1);
        }
    }
    return ans;
}

int main()
{
    int n;
    cin >> n;
    vector<int> v(n);
    for(int i = 0; i < n; ++i){
        cin >> v[i];
    }
    cout << minSwaps(v, n)<<endl;
    return 0;
}

Test 1

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Test 2

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Test 70

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