/*
    author:  Maksim1744
    created: 09.12.2023 14:51:11
*/

#include "bits/stdc++.h"

using namespace std;

using ll = long long;
using ld = long double;

#define mp   make_pair
#define pb   push_back
#define eb   emplace_back

#define sum(a)     ( accumulate ((a).begin(), (a).end(), 0ll))
#define mine(a)    (*min_element((a).begin(), (a).end()))
#define maxe(a)    (*max_element((a).begin(), (a).end()))
#define mini(a)    ( min_element((a).begin(), (a).end()) - (a).begin())
#define maxi(a)    ( max_element((a).begin(), (a).end()) - (a).begin())
#define lowb(a, x) ( lower_bound((a).begin(), (a).end(), (x)) - (a).begin())
#define uppb(a, x) ( upper_bound((a).begin(), (a).end(), (x)) - (a).begin())

template<typename T>             vector<T>& operator--            (vector<T> &v){for (auto& i : v) --i;            return  v;}
template<typename T>             vector<T>& operator++            (vector<T> &v){for (auto& i : v) ++i;            return  v;}
template<typename T>             istream& operator>>(istream& is,  vector<T> &v){for (auto& i : v) is >> i;        return is;}
template<typename T>             ostream& operator<<(ostream& os,  vector<T>  v){for (auto& i : v) os << i << ' '; return os;}
template<typename T, typename U> pair<T,U>& operator--           (pair<T, U> &p){--p.first; --p.second;            return  p;}
template<typename T, typename U> pair<T,U>& operator++           (pair<T, U> &p){++p.first; ++p.second;            return  p;}
template<typename T, typename U> istream& operator>>(istream& is, pair<T, U> &p){is >> p.first >> p.second;        return is;}
template<typename T, typename U> ostream& operator<<(ostream& os, pair<T, U>  p){os << p.first << ' ' << p.second; return os;}
template<typename T, typename U> pair<T,U> operator-(pair<T,U> a, pair<T,U> b){return mp(a.first-b.first, a.second-b.second);}
template<typename T, typename U> pair<T,U> operator+(pair<T,U> a, pair<T,U> b){return mp(a.first+b.first, a.second+b.second);}
template<typename T, typename U> void umin(T& a, U b){if (a > b) a = b;}
template<typename T, typename U> void umax(T& a, U b){if (a < b) a = b;}

#ifdef HOME
#define SHOW_COLORS
#include "/mnt/c/Libs/tools/print.cpp"
#else
#define show(...) void(0)
#define debugf(fun)   fun
#define debugv(var)   var
#define mclock    void(0)
#define shows     void(0)
#define debug  if (false)
#define OSTREAM(...)    ;
#define OSTREAM0(...)   ;
#endif

const int D = 100;
const int B = 450;
// const int D = 4;
// const int B = 3;

template<typename T, typename F = std::function<T(const T&, const T&)>>
struct SparseTable {
    vector<vector<T>> table;
    vector<int> p2;
    F combine;

    SparseTable(int n, F combine) : combine(combine) {
        while ((1 << table.size()) <= n || table.empty())
            table.emplace_back(n);
    }
    template<typename U>
    SparseTable(const vector<U>& v, F combine) : SparseTable<T>(v.size(), combine) {
        table[0].assign(v.begin(), v.end());
        build();
    }

    void build() {
        p2.resize(table[0].size() + 1);
        for (int i = 2; i < p2.size(); ++i)
            p2[i] = p2[i / 2] + 1;
        for (int i = 1; i < table.size(); ++i) {
            for (int j = 0; j + (1 << i) <= table[i].size(); ++j) {
                table[i][j] = combine(table[i - 1][j], table[i - 1][j + (1 << (i - 1))]);
            }
        }
    }

    T ask(int l, int r) {
        int ln = p2[r - l + 1];
        if (r - l + 1 == ln) return table[ln][l];
        return combine(table[ln][l], table[ln][r - (1 << ln) + 1]);
    }
};

template<typename T>
struct fenwick {
    vector<T> tree;
    int n;
    int K;

    fenwick(int n = 0) : n(n) {
        tree.assign(n, 0);
        K = 0;
        while ((1 << K) <= n)
            ++K;
    }

    void add(int i, T k) {
        for (; i < n; i = (i | (i + 1)))
            tree[i] += k;
    }

    T ask(int r) {
        T res = 0;
        for (; r >= 0; r = (r & (r + 1)) - 1)
            res += tree[r];
        return res;
    }

    T ask(int l, int r) {
        if (l > r) return 0;
        return ask(r) - ask(l - 1);
    }

    // find first i such that sum[0..i] >= x
    int lower_bound(T x) {
        int cur = 0;
        T cur_sum = 0;
        for (int k = K - 1; k >= 0; --k) {
            int ind = cur | ((1 << k) - 1);
            if (ind >= n) continue;
            if (cur_sum + tree[ind] >= x) continue;
            cur_sum += tree[ind];
            cur |= (1 << k);
        }
        return cur;
    }
};

namespace mint_ns {
template<auto P>
struct Modular {
    using value_type = decltype(P);
    value_type value;

    constexpr Modular(long long k = 0) : value(norm(k)) {}

    friend constexpr Modular<P>& operator += (      Modular<P>& n, const Modular<P>& m) { n.value += m.value; if (n.value >= P) n.value -= P; return n; }
    friend constexpr Modular<P>  operator +  (const Modular<P>& n, const Modular<P>& m) { Modular<P> r = n; return r += m; }

    friend constexpr Modular<P>& operator -= (      Modular<P>& n, const Modular<P>& m) { n.value -= m.value; if (n.value < 0)  n.value += P; return n; }
    friend constexpr Modular<P>  operator -  (const Modular<P>& n, const Modular<P>& m) { Modular<P> r = n; return r -= m; }
    friend constexpr Modular<P>  operator -  (const Modular<P>& n)                      { return Modular<P>(-n.value); }

    friend constexpr Modular<P>& operator *= (      Modular<P>& n, const Modular<P>& m) { n.value = n.value * 1ll * m.value % P; return n; }
    friend constexpr Modular<P>  operator *  (const Modular<P>& n, const Modular<P>& m) { Modular<P> r = n; return r *= m; }

    friend constexpr Modular<P>& operator /= (      Modular<P>& n, const Modular<P>& m) { return n *= m.inv(); }
    friend constexpr Modular<P>  operator /  (const Modular<P>& n, const Modular<P>& m) { Modular<P> r = n; return r /= m; }

    Modular<P>& operator ++ (   ) { return *this += 1; }
    Modular<P>& operator -- (   ) { return *this -= 1; }
    Modular<P>  operator ++ (int) { Modular<P> r = *this; *this += 1; return r; }
    Modular<P>  operator -- (int) { Modular<P> r = *this; *this -= 1; return r; }

    friend constexpr bool operator == (const Modular<P>& n, const Modular<P>& m) { return n.value == m.value; }
    friend constexpr bool operator != (const Modular<P>& n, const Modular<P>& m) { return n.value != m.value; }

    explicit    operator       int() const { return value; }
    explicit    operator      bool() const { return value; }
    explicit    operator long long() const { return value; }

    constexpr static value_type mod()      { return     P; }

    constexpr value_type norm(long long k) {
        if (!(-P <= k && k < P)) k %= P;
        if (k < 0) k += P;
        return k;
    }

    Modular<P> inv() const {
        value_type a = value, b = P, x = 0, y = 1;
        while (a != 0) { value_type k = b / a; b -= k * a; x -= k * y; swap(a, b); swap(x, y); }
        return Modular<P>(x);
    }
};
template<auto P> Modular<P> pow(Modular<P> m, long long p) {
    Modular<P> r(1);
    while (p) {
        if (p & 1) r *= m;
        m *= m;
        p >>= 1;
    }
    return r;
}

template<auto P> ostream& operator << (ostream& o, const Modular<P>& m) { return o << m.value; }
template<auto P> istream& operator >> (istream& i,       Modular<P>& m) { long long k; i >> k; m.value = m.norm(k); return i; }
template<auto P> string   to_string(const Modular<P>& m) { return to_string(m.value); }

using Mint = Modular<1000000007>;
// using Mint = Modular<998244353>;
// using Mint = long double;

vector<Mint> f, fi;
void init_C(int n) {
    f.assign(n, 1); fi.assign(n, 1);
    for (int i = 2; i < n; ++i) f[i] = f[i - 1] * i;
    fi.back() = Mint(1) / f.back();
    for (int i = n - 2; i >= 0; --i) fi[i] = fi[i + 1] * (i + 1);
}
Mint C(int n, int k) {
    if (k < 0 || k > n) return 0;
    else return f[n] * fi[k] * fi[n - k];
}
}
using namespace mint_ns;


const uint64_t PU = 5792438681590757847ull;
const uint64_t PINVU = 640429216751946215ull;
static_assert(PU * PINVU == 1);

constexpr Mint PM = 293749283;
constexpr Mint PINVM = 730384450;
static_assert(PM * PINVM == 1);

struct Hash {
    uint64_t hu = 0;
    // Mint hm = 0;

    Hash() = default;
    explicit Hash(uint64_t x) : hu(x)/*, hm(x)*/ {}
    // constexpr explicit Hash(uint64_t a/*, Mint b*/) : hu(a)/*, hm(b)*/ {}

    Hash operator * (const Hash& rhs) const {
        return Hash(hu * rhs.hu/*, hm * rhs.hm*/);
    }
    Hash operator * (uint64_t x) const {
        return Hash(hu * x/*, hm * x*/);
    }
    Hash& operator += (const Hash& rhs) {
        hu += rhs.hu;
        // hm += rhs.hm;
        return *this;
    }
    Hash& operator -= (const Hash& rhs) {
        hu -= rhs.hu;
        // hm -= rhs.hm;
        return *this;
    }
    Hash operator + (const Hash& rhs) const {
        auto h = *this;
        return h += rhs;
    }

    bool operator == (const Hash& rhs) const = default;
};

OSTREAM(Hash, hu, hm);

const Hash P = Hash(PU/*, PM*/);
const Hash PINV = Hash(PINVU/*, PINVM*/);

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

    int n, m, q;
    cin >> n >> m >> q;
    vector<int> a(n);
    cin >> a;
    vector<int> b(m);
    cin >> b;
    SparseTable<int> sparse(b, [](int a, int b) { return gcd(a, b); });
    vector<Hash> pows(n + 5);
    vector<Hash> invpows(n + 5);
    invpows[0] = Hash(1);
    for (int i = 1; i < invpows.size(); ++i)
        invpows[i] = invpows[i - 1] * PINV;
    pows[0] = Hash(1);
    for (int i = 1; i < pows.size(); ++i) {
        pows[i] = pows[i - 1] * P;
    }
    vector<Hash> prefpows = pows;
    for (int i = 1; i < prefpows.size(); ++i)
        prefpows[i] += prefpows[i - 1];
    vector<array<Hash, B>> v(n / B + 1);
    for (auto& u : v)
        u.fill(Hash(0));
    for (int i = 0; i < n; ++i) {
        v[i / B][i % B] = pows[i] * a[i];
    }
    for (int j = 0; j < v.size(); ++j) {
        if (j) v[j][0] += v[j - 1].back();
        auto& u = v[j];
        for (int i = 1; i < B; ++i)
            u[i] += u[i - 1];
    }
    vector<Hash> block_delta(n / B + 1, Hash(0));

    fenwick<ll> justsum(n);
    for (int i = 0; i < n; ++i) {
        justsum.add(i, a[i]);
    }

    vector<fenwick<ll>> trees;
    trees.pb(0);
    for (int d = 1; d <= D; ++d) {
        trees.pb(n + d + 5);
        for (int i = 0; i < n; ++i) {
            trees.back().add((i % d) * (n / d + 1) + i / d, a[i]);
        }
    }

    while (q--) {
        show(block_delta);
        char c;
        cin >> c;
        if (c == 'U') {
            int ind;
            int val;
            cin >> ind >> val;
            --ind;
            int vdelta = val - a[ind];
            a[ind] = val;
            justsum.add(ind, vdelta);
            Hash delta = pows[ind] * vdelta;
            for (int j = ind % B; j < B; ++j)
                v[ind / B][j] += delta;
            for (int i = ind / B + 1; i < block_delta.size(); ++i)
                block_delta[i] += delta;
            for (int d = 1; d <= D; ++d)
                trees[d].add((ind % d) * (n / d + 1) + ind / d, vdelta);
        } else {
            auto pointval = [&](int i) {
                return v[i / B][i % B] + block_delta[i / B];
            };
            auto segsum = [&](int l, int r) {
                Hash res = pointval(r);
                if (l) res -= pointval(l - 1);
                return res;
            };

            int l, r, s, t;
            cin >> l >> r >> s >> t;
            --l; --r; --s; --t;
            int d = sparse.ask(s, t);
            // int d = 0;
            d = gcd(d, r - l + 1);
            ll sm = justsum.ask(l, r);
            show(l, r, d, sm);
            if (sm % d != 0) {
                cout << "No\n";
                continue;
            }
            sm /= d;
            if (d <= D) {
                ll last = -1;
                bool ok = true;
                for (int rem = 0; rem < d; ++rem) {
                    int li = l + rem;
                    int ri = r + 1 + rem - d;
                    li = (li % d) * (n / d + 1) + li / d;
                    ri = (ri % d) * (n / d + 1) + ri / d;
                    ll cur = trees[d].ask(li, ri);
                    if (rem && last != cur) {
                        ok = false;
                        break;
                    }
                    last = cur;
                }
                cout << (ok ? "Yes" : "No") << '\n';
            } else {
                Hash cur(0);
                for (int i = l; i <= r; i += d) {
                    cur += segsum(i, i+d-1) * invpows[i];
                }
                Hash need = prefpows[d - 1] * sm;
                show(cur);
                show(need);
                cout << (cur == need ? "Yes" : "No") << '\n';
            }
        }
    }

    return 0;
}