HackerEarth Color the boxes problem solution

In this HackerEarth Color the boxes problem solution you are given N boxes that are kept in a straight line. You are also given M colors such that (). You cannot change the position of boxes. Determine the number of ways to color the boxes such that if you select any M consecutive boxes then the color of each box is unique. Since the number could be large, print the answer modulo 10 to power 9 plus 7.

#include <bits/stdc++.h>
using namespace std;

int main()
{
int n,m;
cin>>n>>m;
long long ans=1;
for(long long i=1;i<=m;i++)
{
    ans=(ans*i)%(1000000000+7);
}
cout<<ans<<endl;
}

#include <bits/stdc++.h>
typedef long long ll;
using namespace std;

const int maxn = 2e5 + 17, mod = 1e9 + 7;

int main(){
  ios::sync_with_stdio(0), cin.tie(0);
  int n, m;
  cin >> n >> m;
  int ans = 1;
  int x = min(n, m);
  for(int i = 1; i <= x; i++)
    ans = (ll) ans * i % mod;
  cout << ans << 'n';
}