#include <bits/stdc++.h>
using namespace std;
const int mod = 998244353;
const int bas = 114514;
const int rbas = 137043501;
const int _ = 2e5 + 10;
const int B = 450;
int lg[_], pw[_], rpw[_], spw[_];
inline int gcd(int x, int y) {
    while (y) {
        int z = x % y;
        x = y;
        y = z;
    }
    return x;
}
inline void init(int n) {
    pw[0] = rpw[0] = spw[0] = 1;
    for (int i = 1; i <= n; i++) {
        pw[i] = (long long) pw[i-1] * bas % mod;
        rpw[i] = (long long) rpw[i-1] * rbas % mod;
        spw[i] = (spw[i-1] + pw[i]) % mod;
    }
    lg[1] = 0;
    for (int i = 2; i <= n; i++) {
        lg[i] = lg[i-1] + (!(i & (i-1)));
    }
}
int n, arr[_];
struct node1 {
    int arr[_], brr[500];
    inline void add(int x, int k) {
        arr[x] = (arr[x] + k) % mod;
        int y = x / B;
        brr[y] = (brr[y] + k) % mod;
    }
    inline int query(int l, int r) {
        int L = l / B;
        int R = r / B;
        int ans = 0;
        if (R - L >= 2) {
            int ll = (L+1) * B - 1;
            int rr = R * B;
            for (int i = l; i <= ll; i++) {
                ans = (ans + arr[i]) % mod;
            }
            for (int i = L+1; i <= R-1; i++) {
                ans = (ans + brr[i]) % mod;
            }
            for (int i = rr; i <= r; i++) {
                ans = (ans + arr[i]) % mod;
            }
        } else {
            for (int i = l; i <= r; i++) {
                ans = (ans + arr[i]) % mod;
            }
        }
        return ans;
    }
} num1[500], num2[500];
struct node2 {
    int arr[_], brr[500];
    inline void add(int x, int k) {
        int l = x;
        int r = n;
        int L = l / B;
        int R = r / B;
        if (R - L >= 2) {
            int ll = (L+1) * B - 1;
            int rr = R * B;
            for (int i = l; i <= ll; i++) {
                arr[i] = (arr[i] + k) % mod;
            }
            for (int i = L+1; i <= R-1; i++) {
                brr[i] = (brr[i] + k) % mod;
            }
            for (int i = rr; i <= r; i++) {
                arr[i] = (arr[i] + k) % mod;
            }
        } else {
            for (int i = l; i <= r; i++) {
                arr[i] = (arr[i] + k) % mod;
            }
        }
    }
    inline int query(int l, int r) {
        int ans = (arr[r] + brr[r / B]) % mod;
        if (l != 1) {
            ans = ((ans - arr[l-1] - brr[(l-1) / B]) % mod + mod) % mod;
        }
        return ans;
    }
} num3;
inline void modify(int x, int k) {
    int diff = ((k - arr[x]) % mod + mod) % mod;
    for (int i = 1; i <= B; i++) {
        num1[i].add(x, (long long) diff * pw[x % i] % mod);
        if (!(x % i)) num2[i].add(x, diff);
    }
    num3.add(x, (long long) diff * pw[x] % mod);
    arr[x] = k;
}
inline int query(int l, int r, int k) {
    if (k <= B) {
        return num1[k].query(l, r);
    } else {
        int ans = 0;
        for (int i = l / k; i <= r / k; i++) {
            int L = max(l, i * k);
            int R = min(r, (i+1) * k - 1);
            ans = (ans + (long long) num3.query(L, R) * rpw[i * k]) % mod;
        }
        return ans;
    }
}
inline int tquery(int l, int r, int k) {
    if (k <= B) {
        return num2[k].query(l, r);
    } else {
        int ans = 0;
        for (int i = ((l+k-1) / k) * k; i <= r; i += k) {
            ans = (ans + arr[i]) % mod;
        }
        return ans;
    }
}
int m, st[20][_];
inline int calc(int l, int r) {
    int k = lg[r - l + 1];
    return gcd(st[k][l], st[k][r-(1<<k)+1]);
}
int main() {
    init(200000);
    ios::sync_with_stdio(0);
    cin.tie(0);
    int q;
    cin >> n >> m >> q;
    for (int i = 1; i <= n; i++) {
        int x;
        cin >> x;
        modify(i, x);
    }
    for (int i = 1; i <= m; i++) {
        int x;
        cin >> x;
        st[0][i] = x;
    }
    for (int k = 1; k <= lg[m]; k++) {
        for (int i = 1; i <= m - (1 << k) + 1; i++) {
            st[k][i] = gcd(st[k-1][i], st[k-1][i+(1<<(k-1))]);
        }
    }
    while (q--) {
        char ch;
        cin >> ch;
        switch (ch) {
            case 'Q': {
                int l, r, s, t;
                cin >> l >> r >> s >> t;
                int k = gcd(r-l+1, calc(s, t));
                int sum = query(l, r, k);
                int tmp = tquery(l, r, k);
                if (sum == (long long) tmp * spw[k-1] % mod) {
                    cout << "Yes\n";
                } else {
                    cout << "No\n";
                }
                break;
            }
            case 'U': {
                int p, v;
                cin >> p >> v;
                modify(p, v);
                break;
            }
        }
    }
    cout << flush;
    return 0;
}