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

int x, y, n, xl, yl, out;
pair <long long, long long> bg, en;
string s;
vector <pair <int, int>> wind;

int main(){
    freopen("in.data", "r", stdin);
    cin >> bg.first >> bg.second >> en.first >> en.second >> n >> s;

    wind.push_back(make_pair(0, 0));

    x = bg.first - en.first;
    y = bg.second - en.second;

    for(int i = 1; i <= n; i++){
        if(s[i-1] == 'U')
            yl++;
        if(s[i-1] == 'D')
            yl--;
        if(s[i-1] == 'R')
            xl++;
        if(s[i-1] == 'L')
            xl--;
        wind.push_back(make_pair(xl, yl));
        //cout <<  xl << " " << wind[i].first << " " << abs(x + wind[i].first) << " ||||||||| " <<  abs(y + wind[i].second) << endl;
        if(abs(x + wind[i].first) + abs(y + wind[i].second) <= n){
            cout << n;
            return 0;
        }
    }

    //cout << abs(x + wind[n].first) + abs(y + wind[n].second) << " " << n + abs(y) + abs(x) << endl;
    if(abs(x + wind[n].first) + abs(y + wind[n].second) >= n + abs(y) + abs(x)){
        cout << -1;
        return 0;
    }

    out = (abs(x) + abs(y))  / (abs(x) - abs(x + wind[n].first) + abs(y) - abs(y + wind[n].second))  - 1;
    x+= out*wind[n].first;
    y+= out*wind[n].second;

    for(int i = 1; i <= n; i++){
        if(abs(x + wind[i].first) + abs(y + wind[i].second) <= i + n * out){
            cout << n*out + i;
            return 0;
        }
    }

    //for()

return 0;
}