#include <bits/stdc++.h>
#define x first
#define y second
using namespace std;
typedef long long ll;

ll x, y, x2, y2;
ll n;
char a[100010];
ll col[1010];
ll chi[100][100010];
ll ans = 0;
ll tx[100010], ty[100010];

int main()
{
    ios_base::sync_with_stdio(0);
    cin.tie(0);

    cin >> x >> y;
    cin >> x2 >> y2;
    cin >> n;
    for (int i = 1; i <= n; ++i) cin >> a[i];
    ll dx = x2 - x, dy = y2 - y;
    ll lx = 0, ly = 0;
    for (int i = 1; i <= n; ++i)
    {
        if (a[i] == 'L') --lx;
        if (a[i] == 'R') ++lx;
        if (a[i] == 'U') ++ly;
        if (a[i] == 'D') --ly;
        tx[i] = lx;
        ty[i] = ly;
    }
    ll l = 0, r = 1e18;
    while (r - l > 1)
    {
        ll m = (r + l) / 2;
        ll k = m / n;
        if (abs(dx - tx[n] * k - tx[m % n]) + abs(dy - ty[n] * k - ty[m % n]) > m)
        {
            l = m;
        } else
        {
            r = m;
        }
    }
    ll m = l;
    ll k = m / n;
    if (abs(dx - tx[n] * k - tx[m % n]) + abs(dy - ty[n] * k - ty[m % n]) > m)
    {
        m = r;
        ll k = m / n;
        if (abs(dx - tx[n] * k - tx[m % n]) + abs(dy - ty[n] * k - ty[m % n]) > m)
        {
            cout << -1;
        } else
        {
            cout << r;
        }
    } else
    {
        cout << l;
    }
    return 0;
}