// This Code was made by Chinese_zjc_.
#include <bits/stdc++.h>
// #define debug
const int B = 500;
const int MOD = 1000000009;
const int base = 1000000001;
struct mint
{
    unsigned v;
    mint(unsigned v_ = 0) : v(v_) {}
    mint operator-() const { return v ? MOD - v : *this; }
    mint &operator+=(const mint &X) { return (v += X.v) >= MOD ? v -= MOD : v, *this; }
    mint &operator-=(const mint &X) { return (v += MOD - X.v) >= MOD ? v -= MOD : v, *this; }
    mint &operator*=(const mint &X) { return v = 1llu * v * X.v % MOD, *this; }
    mint &operator/=(const mint &X) { return *this *= X.inv(); }
    mint pow(long long B) const
    {
        B %= MOD - 1;
        if (B < 0)
            B += MOD - 1;
        mint res = 1, A = *this;
        while (B)
        {
            if (B & 1)
                res *= A;
            B >>= 1;
            A *= A;
        }
        return res;
    }
    mint inv() const { return pow(MOD - 2); }
    friend mint operator+(const mint &A, const mint &B) { return mint(A) += B; }
    friend mint operator-(const mint &A, const mint &B) { return mint(A) -= B; }
    friend mint operator*(const mint &A, const mint &B) { return mint(A) *= B; }
    friend mint operator/(const mint &A, const mint &B) { return mint(A) /= B; }
    friend std::istream &operator>>(std::istream &A, mint &B) { return A >> B.v; }
    friend std::ostream &operator<<(std::ostream &A, const mint &B) { return A << B.v; }
    friend bool operator==(const mint &A, const mint &B) { return A.v == B.v; }
    explicit operator bool() const { return v; }
} a[200005], c[200005], sump[405][505][505], sumh[405][505], sum[405][505], pw[200005];
int n, m, q, b[200005];
int gcd[1 << 19];
#define lson (now << 1)
#define rson (now << 1 | 1)
#define lmid ((l + r) >> 1)
#define rmid (lmid + 1)
void pushup(int now) { gcd[now] = std::__gcd(gcd[lson], gcd[rson]); }
void build(int now = 1, int l = 1, int r = m)
{
    if (l == r)
    {
        gcd[now] = b[l];
        return;
    }
    build(lson, l, lmid);
    build(rson, rmid, r);
    pushup(now);
}
int query(int L, int R, int now = 1, int l = 1, int r = m)
{
    if (R < l || r < L)
        return 0;
    if (L <= l && r <= R)
        return gcd[now];
    return std::__gcd(query(L, R, lson, l, lmid), query(L, R, rson, rmid, r));
}
void init()
{
    for (int i = 0; i != n; ++i)
        c[i] = a[i] - (i ? a[i - 1] : 0);
    for (int i = 0; i * B != n; ++i)
    {
        for (int j = 1; j <= B; ++j)
        {
            for (int k = i * B; k != (i + 1) * B; ++k)
                sump[i][j][k % j] += c[k];
            for (int k = 0; k != j; ++k)
                sumh[i][j] += pw[k] * sump[i][j][k];
        }
        for (int j = B; j--;)
            sum[i][j] = sum[i][j + 1] * base + c[i * B + j];
    }
}
void add(int pos, mint val)
{
    int in = pos / B;
    for (int i = 1; i <= B; ++i)
    {
        sump[in][i][pos % i] += val;
        sumh[in][i] += pw[pos % i] * val;
    }
    c[pos] += val;
    for (int j = B; j--;)
        sum[in][j] = sum[in][j + 1] * base + c[in * B + j];
}
mint get_first(int l, int r, int dis)
{
    int p = l % dis;
    mint res = 0;
    if (dis <= B)
    {
        while (l % B && l != r)
        {
            if (l % dis == p)
                res += c[l];
            ++l;
        }
        while (l / B != r / B)
        {
            res += sump[l / B][dis][p];
            l += B;
        }
        while (l != r)
        {
            if (l % dis == p)
                res += c[l];
            ++l;
        }
    }
    else
    {
        while (l != r)
        {
            res += c[l];
            l += dis;
        }
    }
    return res;
}
mint get_sum(int l, int r, int dis)
{
    mint res = 0;
    if (dis <= B)
    {
        while (l % B && l != r)
        {
            res += c[l] * pw[l % dis];
            ++l;
        }
        while (l / B != r / B)
        {
            res += sumh[l / B][dis];
            l += B;
        }
        while (l != r)
        {
            res += c[l] * pw[l % dis];
            ++l;
        }
    }
    else
    {
        while (l % B && l != r)
        {
            res += c[l] * pw[l % dis];
            ++l;
        }
        while (l / B != r / B)
        {
            int sp = std::min(dis - l % dis, B);
            res += (sum[l / B][0] - sum[l / B][sp] * pw[sp]) * pw[l % dis];
            res += sum[l / B][sp];
            l += B;
        }
        while (l != r)
        {
            res += c[l] * pw[l % dis];
            ++l;
        }
    }
    return res;
}
mint get_first_(int l, int r, int dis)
{
    mint res = 0;
    while (l != r)
    {
        res += c[l];
        l += dis;
    }
    return res;
}
mint get_sum_(int l, int r, int dis)
{
    mint res = 0;
    while (l != r)
    {
        res += c[l] * pw[l % dis];
        ++l;
    }
    return res;
}
signed main()
{
    // freopen("data.in", "r", stdin);
    std::ios::sync_with_stdio(false);
    pw[0] = 1;
    for (int i = 1; i <= 200000; ++i)
        pw[i] = pw[i - 1] * base;
    std::cin >> n >> m >> q;
    for (int i = 0; i != n; ++i)
        std::cin >> a[i];
    while (n % B)
        ++n;
    for (int i = 1; i <= m; ++i)
        std::cin >> b[i];
    build();
    init();
    for (int i = 1; i <= q; ++i)
    {
        static char opt;
        static int l, r, s, t, p, v;
        std::cin >> opt;
        if (opt == 'U')
        {
            std::cin >> p >> v;
            --p;
            add(p, v - a[p]);
            add(p + 1, a[p] - v);
            a[p] = v;
        }
        if (opt == 'Q')
        {
            std::cin >> l >> r >> s >> t;
            --l;
            int gcd = std::__gcd(r - l, query(s, t));
            mint f = get_first(l, r, gcd) * pw[l % gcd], g = get_sum(l, r, gcd);
            // mint f_ = get_first_(l, r, gcd) * pw[l % gcd], g_ = get_sum_(l, r, gcd);
            // std::cout << l << ' ' << r << ' ' << gcd << ' ' << g << ' ' << g_ << std::endl;
            // assert(f == f_ && g == g_);
            std::cout << (g == f ? "Yes" : "No") << std::endl;
        }
    }
    return 0;
}