#pragma GCC optimize("Ofast,unroll-loops")

#include <map>
#include <set>
#include <array>
#include <cmath>
#include <deque>
#include <bitset>
#include <random>
#include <string>
#include <vector>
#include <cassert>
#include <complex>
#include <iomanip>
#include <iostream>
#include <algorithm>
#include <unordered_map>
#include <unordered_set>

using namespace std;

const int K = 179;
const int MAXN = 400400;

int n;

long long fenw[MAXN];

void add_fenw(int i, long long x) {
  for (; i < 2 * n; i = (i | (i + 1)))
    fenw[i] += x;
}

long long get(int i) {
  long long ans = 0;
  for (; i >= 0; i = (i & (i + 1)) - 1)
    ans += fenw[i];
  return ans;
}

long long get(int l, int r) {
  return get(r - 1) - get(l - 1);
}


int gcd(int a, int b) {
  while (b) {
    a %= b;
    swap(a, b);
  }
  return a;
}

int tree_gcd[(1 << 19) + 228];

void build(int v, int left, int right, vector<int>& A) {
  if (left + 1 == right) {
    tree_gcd[v] = A[left];
    return;
  }
  int mid = (left + right) / 2;
  build(2 * v + 1, left, mid, A);
  build(2 * v + 2, mid, right, A);
  tree_gcd[v] = gcd(tree_gcd[2 * v + 1], tree_gcd[2 * v + 2]);
}

int get_gcd(int v, int left, int right, int x, int y) {
  if (y <= left || right <= x)
    return 0;
  if (x <= left && right <= y)
    return tree_gcd[v];
  int mid = (left + right) / 2;
  return gcd(get_gcd(2 * v + 1, left, mid, x, y), get_gcd(2 * v + 2, mid, right, x, y));
}


const int MOD1 = 1e9 + 9;

int add1(int a, int b) {
  return a + b >= MOD1 ? a + b - MOD1 : a + b;
}

int sub1(int a, int b) {
  return a >= b ? a - b : a + MOD1 - b;
}

int mul1(int a, int b) {
  return (1ll * a * b) % MOD1;
}


const int MOD2 = 1e9 + 447;

int add2(int a, int b) {
  return a + b >= MOD2 ? a + b - MOD2 : a + b;
}

int sub2(int a, int b) {
  return a >= b ? a - b : a + MOD2 - b;
}

int mul2(int a, int b) {
  return (1ll * a * b) % MOD2;
}

const int BASE = 379;
int BASEPOW1[MAXN];
int BASEPOW2[MAXN];

pair<int, int> combine(pair<int, int> A, pair<int, int> B, int r_len) {
  return make_pair(add1(mul1(A.first, BASEPOW1[r_len]), B.first),
    add2(mul2(A.second, BASEPOW2[r_len]), B.second));
}

const pair<int, int> NONE(0, 0);

pair<int, int> cur_vals[MAXN];
pair<int, int> suff_hashes[MAXN];
pair<int, int> pref_hashes[MAXN];

pair<int, int> get_segm_hash(int left, int right) {
  int l = left / K + 1;
  int r = right / K;
  pair<int, int> ans = suff_hashes[left];
  for (int i = l; i < r; ++i)
    ans = combine(ans, suff_hashes[i * K], K);
  ans = combine(ans, pref_hashes[right], right - r * K + 1);
  return ans;
}

void recalc_block(int id) {
  id /= K;
  pair<int, int> cur_pref = NONE;
  for (int i = id * K; i < id * K + K; ++i) {
    cur_pref = combine(cur_pref, cur_vals[i], 1);
    pref_hashes[i] = cur_pref;
  }
  pair<int, int> cur_suff = NONE;
  for (int i = id * K + K - 1; i >= id * K; --i) {
    cur_suff = combine(cur_vals[i], cur_suff, id * K + K - i - 1);
    suff_hashes[i] = cur_suff;
  }
}

int main() {
#ifdef DEBUG
  freopen("input.txt", "r", stdin);
  freopen("output.txt", "w", stdout);
#else
  ios::sync_with_stdio(false);
  cin.tie(0);
  cout.tie(0);
#endif

  BASEPOW1[0] = 1;
  for (int i = 1; i < MAXN; ++i)
    BASEPOW1[i] = mul1(BASEPOW1[i - 1], BASE);

  BASEPOW2[0] = 1;
  for (int i = 1; i < MAXN; ++i)
    BASEPOW2[i] = mul1(BASEPOW2[i - 1], BASE);

  int m, q;
  cin >> n >> m >> q;
  vector<long long> A(n);
  for (int i = 0; i < n; ++i)
    cin >> A[i];
  vector<int> B(m);
  for (int i = 0; i < m; ++i)
    cin >> B[i];
  build(0, 0, m, B);
  vector<pair<pair<int, int>, int>> queries(q);
  vector<int> interesting;
  for (int i = 0; i < q; ++i) {
    char c;
    cin >> c;
    if (c == 'U') {
      int p, v;
      cin >> p >> v;
      --p;
      queries[i] = make_pair(make_pair(p, v), -1);
    } else {
      int l, r, s, t;
      cin >> l >> r >> s >> t;
      --l;
      --r;
      --s;
      --t;
      int k = gcd(r - l + 1, get_gcd(0, 0, m, s, t + 1));
      if (k <= K)
        interesting.emplace_back(k);
      queries[i] = make_pair(make_pair(l, r), k);
    }
  }
  vector<bool> ans(q);
  sort(interesting.begin(), interesting.end());
  interesting.resize(unique(interesting.begin(), interesting.end()) - interesting.begin());
  vector<long long> cur_a;
  for (int k : interesting) {
    cur_a = A;
    fill(fenw, fenw + 2 * n, 0);
    auto get_real_id = [k](int i) {
      return (i % k) * (n / k + 1) + i / k;
    };
    for (int i = 0; i < n; ++i) {
      add_fenw(get_real_id(i), cur_a[i] - (i == 0 ? 0 : cur_a[i - 1]));
    }
    for (int j = 0; j < q; ++j) {
      if (queries[j].second == -1) {
        // upd
        int i = queries[j].first.first;
        int x = queries[j].first.second;
        add_fenw(get_real_id(i), x - cur_a[i]);
        if (i + 1 < n)
          add_fenw(get_real_id(i + 1), cur_a[i] - x);
        cur_a[i] = x;
      } else if (queries[j].second == k) {
        // query
        int l = queries[j].first.first;
        int r = queries[j].first.second;
        ans[j] = true;
        for (int i = 1; i < k; ++i) {
          // l + i
          long long cur_sum = get(get_real_id(l + i), get_real_id(r + 1 - k + i) + 1);
          if (cur_sum != 0)
            ans[j] = false;
        }
        long long cur_sum = get(get_real_id(l), get_real_id(r + 1 - k) + 1) + (l == 0 ? 0 : cur_a[l - 1]) - cur_a[r];
        if (cur_sum != 0)
          ans[j] = false;
      }
    }
  }
  for (int i = 0; i < n; ++i) {
    cur_vals[i].first = (A[i] - (i == 0 ? 0 : A[i - 1]) + MOD1) % MOD1;
    cur_vals[i].second = (A[i] - (i == 0 ? 0 : A[i - 1]) + MOD2) % MOD2;
  }
  for (int i = 0; i < n; i += K)
    recalc_block(i);
  cur_a = A;
  for (int j = 0; j < q; ++j) {
    if (queries[j].second == -1) {
      // upd
      int i = queries[j].first.first;
      int x = queries[j].first.second;
      cur_vals[i].first = add1(cur_vals[i].first, (x - cur_a[i] + MOD1) % MOD1);
      cur_vals[i].second = add2(cur_vals[i].second, (x - cur_a[i] + MOD2) % MOD2);
      if (i + 1 < n) {
        cur_vals[i + 1].first = add1(cur_vals[i + 1].first, (cur_a[i] - x + MOD2) % MOD2);
        cur_vals[i + 1].second = add2(cur_vals[i + 1].second, (cur_a[i] - x + MOD2) % MOD2);
      }
      cur_a[i] = x;
      recalc_block(i);
      if ((i + 1) / K != i / K)
        recalc_block(i + 1);
    } else if (queries[j].second > K) {
      // query
      int l = queries[j].first.first;
      int r = queries[j].first.second;
      int k = queries[j].second;
      pair<int, int> total_hash = NONE;
      for (int i = l; i < r; i += k) {
        auto tmp = get_segm_hash(i, i + k - 1);
        total_hash.first = add1(total_hash.first, tmp.first);
        total_hash.second = add2(total_hash.second, tmp.second);
      }
      int delta = (l == 0 ? 0 : cur_a[l - 1]) - cur_a[r];
      total_hash.first = add1(total_hash.first, mul1((delta + MOD1) % MOD1, BASEPOW1[k - 1]));
      total_hash.second = add2(total_hash.second, mul2((delta + MOD2) % MOD2, BASEPOW2[k - 1]));
      ans[j] = total_hash == NONE;
    }
  }

  for (int i = 0; i < q; ++i) {
    if (queries[i].second != -1) {
      if (ans[i])
        cout << "Yes\n";
      else
        cout << "No\n";
    }
  }
  return 0;
}