#include <bits/stdc++.h>

#define ll long long
#define pii pair < int, int >
#define fr first
#define sc second
#define int long long

using namespace std;

pii a, b;
int n;
string s;
pii dif, cur;

ll dist(pii A, pii B) {
    return abs(A.fr - B.fr) + abs(A.sc - B.sc);
}

bool check(ll mid) {
    ll x = mid / n;
    ll ost = mid % n;
    pii asd;
    asd = {x * dif.fr, x * dif.sc};
    for (int i = 0; i < ost; i++) {
        if (s[i] == 'R') asd.fr++;
        else if (s[i] == 'L') asd.fr--;
        else if (s[i] == 'U') asd.sc++;
        else asd.sc--;
    }
    return dist(b, asd) <= mid;
}

main() {
    scanf("%d %d", &a.fr, &a.sc);
    scanf("%d %d", &b.fr, &b.sc);
    b.fr -= a.fr;
    b.sc -= a.sc;
    a = {0, 0};
    scanf("%d", &n);
    cin >> s;
    dif = {0, 0};
    for (int i = 0; i < n; i++) {
        if (s[i] == 'R') dif.fr++;
        else if (s[i] == 'L') dif.fr--;
        else if (s[i] == 'U') dif.sc++;
        else dif.sc--;
    }
    ll l = 0;
    ll r = 1e18;
    while (r - l > 1) {
        ll mid = (l + r) >> 1;
        if (check(mid)) {
            r = mid;
        } else {
            l = mid;
        }
    }
    if (r == (ll)1e18) {
        cout << -1;
        return 0;
    }
    cout << r;
}