Problem Link :https://mirror.codeforces.com/contest/1607/problem/E

How is the below solution working ?? I found this in submission relatively easier than others . Can someone explain the intuition behind it? What I have understood is that we can move opposite to the direction s[i] in the string to get the required cooordinate. Can someone give a proper explanation for this and why are traversing string in the reverse direction?

#include <bits/stdc++.h>
    using namespace std;
    int main(){
    int t;
    cin>>t;
    while(t--){
      int n,m;
      cin>>n>>m;
     string s;
     cin>>s;
     int x=1,y=1;
     for(int i=s.size()-1;i>=0;i--){
       if(s[i]=='L'&&x<m)x++;
       if(s[i]=='R'&&x>1)x--;
       if(s[i]=='U'&&y<n)y++;
       if(s[i]=='D'&&y>1)y--;
       
     }
     cout<<y<<" "<<x<<endl;
    }
    }