結果
| 問題 |
No.3207 Digital Font
|
| コンテスト | |
| ユーザー |
 noya2
|
| 提出日時 | 2025-07-19 18:46:53 |
| 言語 | C++23 (gcc 13.3.0 + boost 1.87.0) |
| 結果 |
AC
|
| 実行時間 | 151 ms / 3,000 ms |
| コード長 | 29,724 bytes |
| コンパイル時間 | 3,739 ms |
| コンパイル使用メモリ | 310,636 KB |
| 実行使用メモリ | 20,496 KB |
| 最終ジャッジ日時 | 2025-07-19 18:47:02 |
| 合計ジャッジ時間 | 9,233 ms |
|
ジャッジサーバーID （参考情報） |
judge3 / judge5 |
（要ログイン）
| ファイルパターン | 結果 |
|---|---|
| sample | AC * 2 |
| other | AC * 38 |
ソースコード
#line 2 "/Users/noya2/Desktop/Noya2_library/template/template.hpp"
using namespace std;
#include<bits/stdc++.h>
#line 1 "/Users/noya2/Desktop/Noya2_library/template/inout_old.hpp"
namespace noya2 {
template <typename T, typename U>
ostream &operator<<(ostream &os, const pair<T, U> &p){
os << p.first << " " << p.second;
return os;
}
template <typename T, typename U>
istream &operator>>(istream &is, pair<T, U> &p){
is >> p.first >> p.second;
return is;
}
template <typename T>
ostream &operator<<(ostream &os, const vector<T> &v){
int s = (int)v.size();
for (int i = 0; i < s; i++) os << (i ? " " : "") << v[i];
return os;
}
template <typename T>
istream &operator>>(istream &is, vector<T> &v){
for (auto &x : v) is >> x;
return is;
}
void in() {}
template <typename T, class... U>
void in(T &t, U &...u){
cin >> t;
in(u...);
}
void out() { cout << "\n"; }
template <typename T, class... U, char sep = ' '>
void out(const T &t, const U &...u){
cout << t;
if (sizeof...(u)) cout << sep;
out(u...);
}
template<typename T>
void out(const vector<vector<T>> &vv){
int s = (int)vv.size();
for (int i = 0; i < s; i++) out(vv[i]);
}
struct IoSetup {
IoSetup(){
cin.tie(nullptr);
ios::sync_with_stdio(false);
cout << fixed << setprecision(15);
cerr << fixed << setprecision(7);
}
} iosetup_noya2;
} // namespace noya2
#line 1 "/Users/noya2/Desktop/Noya2_library/template/const.hpp"
namespace noya2{
const int iinf = 1'000'000'007;
const long long linf = 2'000'000'000'000'000'000LL;
const long long mod998 = 998244353;
const long long mod107 = 1000000007;
const long double pi = 3.14159265358979323;
const vector<int> dx = {0,1,0,-1,1,1,-1,-1};
const vector<int> dy = {1,0,-1,0,1,-1,-1,1};
const string ALP = "ABCDEFGHIJKLMNOPQRSTUVWXYZ";
const string alp = "abcdefghijklmnopqrstuvwxyz";
const string NUM = "0123456789";
void yes(){ cout << "Yes\n"; }
void no(){ cout << "No\n"; }
void YES(){ cout << "YES\n"; }
void NO(){ cout << "NO\n"; }
void yn(bool t){ t ? yes() : no(); }
void YN(bool t){ t ? YES() : NO(); }
} // namespace noya2
#line 2 "/Users/noya2/Desktop/Noya2_library/template/utils.hpp"
#line 6 "/Users/noya2/Desktop/Noya2_library/template/utils.hpp"
namespace noya2{
unsigned long long inner_binary_gcd(unsigned long long a, unsigned long long b){
if (a == 0 || b == 0) return a + b;
int n = __builtin_ctzll(a); a >>= n;
int m = __builtin_ctzll(b); b >>= m;
while (a != b) {
int mm = __builtin_ctzll(a - b);
bool f = a > b;
unsigned long long c = f ? a : b;
b = f ? b : a;
a = (c - b) >> mm;
}
return a << std::min(n, m);
}
template<typename T> T gcd_fast(T a, T b){ return static_cast<T>(inner_binary_gcd(std::abs(a),std::abs(b))); }
long long sqrt_fast(long long n) {
if (n <= 0) return 0;
long long x = sqrt(n);
while ((x + 1) * (x + 1) <= n) x++;
while (x * x > n) x--;
return x;
}
template<typename T> T floor_div(const T n, const T d) {
assert(d != 0);
return n / d - static_cast<T>((n ^ d) < 0 && n % d != 0);
}
template<typename T> T ceil_div(const T n, const T d) {
assert(d != 0);
return n / d + static_cast<T>((n ^ d) >= 0 && n % d != 0);
}
template<typename T> void uniq(std::vector<T> &v){
std::sort(v.begin(),v.end());
v.erase(unique(v.begin(),v.end()),v.end());
}
template <typename T, typename U> inline bool chmin(T &x, U y) { return (y < x) ? (x = y, true) : false; }
template <typename T, typename U> inline bool chmax(T &x, U y) { return (x < y) ? (x = y, true) : false; }
template<typename T> inline bool range(T l, T x, T r){ return l <= x && x < r; }
} // namespace noya2
#line 8 "/Users/noya2/Desktop/Noya2_library/template/template.hpp"
#define rep(i,n) for (int i = 0; i < (int)(n); i++)
#define repp(i,m,n) for (int i = (m); i < (int)(n); i++)
#define reb(i,n) for (int i = (int)(n-1); i >= 0; i--)
#define all(v) (v).begin(),(v).end()
using ll = long long;
using ld = long double;
using uint = unsigned int;
using ull = unsigned long long;
using pii = pair<int,int>;
using pll = pair<ll,ll>;
using pil = pair<int,ll>;
using pli = pair<ll,int>;
namespace noya2{
/* ~ (. _________ . /) */
}
using namespace noya2;
#line 2 "c.cpp"
#line 2 "/Users/noya2/Desktop/Noya2_library/data_structure/range_tree.hpp"
#line 2 "/Users/noya2/Desktop/Noya2_library/data_structure/compress.hpp"
#line 5 "/Users/noya2/Desktop/Noya2_library/data_structure/compress.hpp"
namespace noya2{
template<typename T>
struct compress {
std::vector<T> raws;
compress () {}
compress (const vector<T> &_raws) : raws(_raws){ build(); }
void build(){
std::sort(raws.begin(), raws.end());
raws.erase(std::unique(raws.begin(), raws.end()), raws.end());
}
int id(const T &raw){ return lb(raw); }
T raw(const int &id){ return raws[id]; }
void add(const T &raw){ raws.emplace_back(raw); }
void reserve(size_t sz){ raws.reserve(sz); }
size_t size(){ return raws.size(); }
int lb(const T &raw){ return lower_bound(all(raws),raw) - raws.begin(); }
int ub(const T &raw){ return upper_bound(all(raws),raw) - raws.begin(); }
bool contains(const T &raw){
int jd = lb(raw);
if (jd < (int)size()) return raws[jd] == raw;
return false;
}
int contains_id(const T &raw){
int jd = lb(raw);
if (jd < (int)size() && raws[jd] == raw) return jd;
return -1;
}
};
} // namespace noya2
#line 5 "/Users/noya2/Desktop/Noya2_library/data_structure/range_tree.hpp"
namespace noya2 {
template<class M, template<class MM> class data_structure, typename Idx = ll>
struct range_tree {
using DS = data_structure<M>;
using T = typename M::value_type;
void join(Idx x, Idx y){ ps.emplace_back(x,y); }
void build(){
for (auto &[x, y] : ps) xs.add(x);
xs.build();
//siz = bit_ceil(xs.size());
siz = 1; while (siz < (int)(xs.size())) siz <<= 1;
ys.resize(siz*2);
for (auto &[x, y] : ps){
int xid = xs.id(x) + siz;
ys[xid].add(y);
while (xid > 1){
xid >>= 1;
ys[xid].add(y);
}
}
for (int i = 0; i < 2*siz; i++){
ys[i].build();
ds.emplace_back(ys[i].size());
}
}
void set(Idx p, Idx q, T val){
int i = xs.id(p) + siz;
ds[i].set(ys[i].id(q),val);
while (i > 1){
i >>= 1;
T lr = M::e();
int i0 = ys[2*i+0].contains_id(q), i1 = ys[2*i+1].contains_id(q);
if (i0 != -1) lr = M::op(lr, ds[2*i+0].get(i0));
if (i1 != -1) lr = M::op(lr, ds[2*i+1].get(i1));
ds[i].set(ys[i].id(q),lr);
}
}
T get(Idx p, Idx q){
int ip = xs.contains_id(p);
if (ip == -1) return M::e();
int i = ip + siz;
int iq = ys[i].contains_id(q);
if (iq == -1) return M::e();
return ds[i].get(iq);
}
T prod(Idx lp, Idx rp, Idx lq, Idx rq){
T res = M::e();
int li = xs.lb(lp), ri = xs.lb(rp);
for (li += siz, ri += siz; li < ri; li >>= 1, ri >>= 1){
if (li & 1) res = M::op(res,ds[li].prod(ys[li].lb(lq),ys[li].lb(rq))), ++li;
if (ri & 1) --ri, res = M::op(res,ds[ri].prod(ys[ri].lb(lq),ys[ri].lb(rq)));
}
return res;
}
int siz;
vector<pair<Idx,Idx>> ps;
compress<Idx> xs;
vector<compress<Idx>> ys;
vector<DS> ds;
};
} // namespace noya2
#line 4 "c.cpp"
#line 2 "/Users/noya2/Desktop/Noya2_library/misc/monoids.hpp"
#line 4 "/Users/noya2/Desktop/Noya2_library/misc/monoids.hpp"
namespace noya2{
template<typename T>
struct max_monoid {
using value_type = T;
static constexpr T op(const T &a, const T &b){ return max(a,b); }
static constexpr T e(){ return std::numeric_limits<T>::min(); }
static constexpr T inv(const T &a){ return e(); }
};
template<typename T>
struct min_monoid {
using value_type = T;
static constexpr T op(const T &a, const T &b){ return min(a,b); }
static constexpr T e(){ return std::numeric_limits<T>::max(); }
static constexpr T inv(const T &a){ return e(); }
};
template<typename T>
struct plus_group {
using value_type = T;
static constexpr T op(const T &a, const T &b){ return a + b; }
static constexpr T e(){ return T(0); }
static constexpr T inv(const T &a){ return -a; }
};
template<typename T>
struct xor_group {
using value_type = T;
static constexpr T op(const T &a, const T &b){ return a ^ b; }
static constexpr T e(){ return T(0); }
static constexpr T inv(const T &a){ return a; }
};
template<class S, auto _op, auto _e>
struct monoid {
using value_type = S;
static constexpr value_type op(value_type a, value_type b){
return _op(a, b);
}
static constexpr value_type e(){
return _e();
}
};
} // namespace noya2
#line 2 "/Users/noya2/Desktop/Noya2_library/data_structure/binary_indexed_tree.hpp"
#line 2 "/Users/noya2/Desktop/Noya2_library/misc/concepts.hpp"
#include<concepts>
namespace noya2 {
template<class monoid>
concept Monoid = requires {
typename monoid::value_type;
{monoid::op(declval<typename monoid::value_type>(),declval<typename monoid::value_type>())} -> std::same_as<typename monoid::value_type>;
{monoid::e()} -> std::same_as<typename monoid::value_type>;
};
template<class group>
concept Group = requires {
requires Monoid<group>;
{group::inv(declval<typename group::value_type>())} -> std::same_as<typename group::value_type>;
};
} // namespace noya2
#line 5 "/Users/noya2/Desktop/Noya2_library/data_structure/binary_indexed_tree.hpp"
namespace noya2{
template <Group G>
struct binary_indexed_tree {
using T = typename G::value_type;
binary_indexed_tree (int _n = 0) : n(_n), d(_n + 1, G::e()) {}
void add(int i, T val) {
for (int x = i+1; x <= n; x += x & -x) {
d[x] = G::op(d[x],val);
}
}
T prod(int r){
return prefix_prod(r);
}
T prod(int l, int r) {
return G::op(G::inv(prefix_prod(l)),prefix_prod(r));
}
T get(int i){
return prod(i,i+1);
}
void set(int i, T val){
add(i,G::op(G::inv(get(i)),val));
}
private:
int n;
std::vector<T> d;
T prefix_prod(int i) {
assert(0 <= i && i <= n);
T ret = G::e();
for (int x = i; x > 0; x -= x & -x) {
ret = G::op(ret,d[x]);
}
return ret;
}
};
} // namespace noya2
#line 2 "/Users/noya2/Desktop/Noya2_library/utility/modint61.hpp"
#line 2 "/Users/noya2/Desktop/Noya2_library/utility/modint.hpp"
#line 4 "/Users/noya2/Desktop/Noya2_library/utility/modint.hpp"
#line 2 "/Users/noya2/Desktop/Noya2_library/math/prime.hpp"
#line 4 "/Users/noya2/Desktop/Noya2_library/math/prime.hpp"
namespace noya2 {
constexpr long long safe_mod(long long x, long long m) {
x %= m;
if (x < 0) x += m;
return x;
}
constexpr long long pow_mod_constexpr(long long x, long long n, int m) {
if (m == 1) return 0;
unsigned int _m = (unsigned int)(m);
unsigned long long r = 1;
unsigned long long y = safe_mod(x, m);
while (n) {
if (n & 1) r = (r * y) % _m;
y = (y * y) % _m;
n >>= 1;
}
return r;
}
constexpr bool is_prime_constexpr(int n) {
if (n <= 1) return false;
if (n == 2 || n == 7 || n == 61) return true;
if (n % 2 == 0) return false;
long long d = n - 1;
while (d % 2 == 0) d /= 2;
constexpr long long bases[3] = {2, 7, 61};
for (long long a : bases) {
long long t = d;
long long y = pow_mod_constexpr(a, t, n);
while (t != n - 1 && y != 1 && y != n - 1) {
y = y * y % n;
t <<= 1;
}
if (y != n - 1 && t % 2 == 0) {
return false;
}
}
return true;
}
template <int n> constexpr bool is_prime_flag = is_prime_constexpr(n);
// {gcd(a, b), a^{-1} mod b}
constexpr std::pair<long long, long long> inv_gcd(long long a, long long b) {
a = safe_mod(a, b);
if (a == 0) return {b, 0};
long long s = b, t = a;
long long m0 = 0, m1 = 1;
while (t) {
long long u = s / t;
s -= t * u;
m0 -= m1 * u;
auto tmp = s;
s = t;
t = tmp;
tmp = m0;
m0 = m1;
m1 = tmp;
}
if (m0 < 0) m0 += b / s;
return {s, m0};
}
constexpr int primitive_root_constexpr(int m) {
if (m == 2) return 1;
if (m == 167772161) return 3;
if (m == 469762049) return 3;
if (m == 754974721) return 11;
if (m == 998244353) return 3;
int divs[20] = {};
divs[0] = 2;
int cnt = 1;
int x = (m - 1) / 2;
while (x % 2 == 0) x /= 2;
for (int i = 3; (long long)(i)*i <= x; i += 2) {
if (x % i == 0) {
divs[cnt++] = i;
while (x % i == 0) {
x /= i;
}
}
}
if (x > 1) {
divs[cnt++] = x;
}
for (int g = 2;; g++) {
bool ok = true;
for (int i = 0; i < cnt; i++) {
if (pow_mod_constexpr(g, (m - 1) / divs[i], m) == 1) {
ok = false;
break;
}
}
if (ok) return g;
}
}
template <int m> constexpr int primitive_root_flag = primitive_root_constexpr(m);
// constexpr long long primitive_root_constexpr(long long m){
// if (m == (1LL << 47) - (1LL << 24) + 1) return 3;
// return primitive_root_constexpr(static_cast<int>(m));
// }
} // namespace noya2
#line 6 "/Users/noya2/Desktop/Noya2_library/utility/modint.hpp"
namespace noya2{
struct barrett {
unsigned int _m;
unsigned long long im;
explicit barrett(unsigned int m) : _m(m), im((unsigned long long)(-1) / m + 1) {}
unsigned int umod() const { return _m; }
unsigned int mul(unsigned int a, unsigned int b) const {
unsigned long long z = a;
z *= b;
unsigned long long x = (unsigned long long)((__uint128_t(z) * im) >> 64);
unsigned int v = (unsigned int)(z - x * _m);
if (_m <= v) v += _m;
return v;
}
};
template <int m>
struct static_modint {
using mint = static_modint;
public:
static constexpr int mod() { return m; }
static mint raw(int v) {
mint x;
x._v = v;
return x;
}
constexpr static_modint() : _v(0) {}
template<std::signed_integral T>
constexpr static_modint(T v){
long long x = (long long)(v % (long long)(umod()));
if (x < 0) x += umod();
_v = (unsigned int)(x);
}
template<std::unsigned_integral T>
constexpr static_modint(T v){
_v = (unsigned int)(v % umod());
}
constexpr unsigned int val() const { return _v; }
mint& operator++() {
_v++;
if (_v == umod()) _v = 0;
return *this;
}
mint& operator--() {
if (_v == 0) _v = umod();
_v--;
return *this;
}
mint operator++(int) {
mint result = *this;
++*this;
return result;
}
mint operator--(int) {
mint result = *this;
--*this;
return result;
}
constexpr mint& operator+=(const mint& rhs) {
_v += rhs._v;
if (_v >= umod()) _v -= umod();
return *this;
}
constexpr mint& operator-=(const mint& rhs) {
_v -= rhs._v;
if (_v >= umod()) _v += umod();
return *this;
}
constexpr mint& operator*=(const mint& rhs) {
unsigned long long z = _v;
z *= rhs._v;
_v = (unsigned int)(z % umod());
return *this;
}
constexpr mint& operator/=(const mint& rhs) { return *this = *this * rhs.inv(); }
constexpr mint operator+() const { return *this; }
constexpr mint operator-() const { return mint() - *this; }
constexpr mint pow(long long n) const {
assert(0 <= n);
mint x = *this, r = 1;
while (n) {
if (n & 1) r *= x;
x *= x;
n >>= 1;
}
return r;
}
constexpr mint inv() const {
if (prime) {
assert(_v);
return pow(umod() - 2);
} else {
auto eg = inv_gcd(_v, m);
assert(eg.first == 1);
return eg.second;
}
}
friend constexpr mint operator+(const mint& lhs, const mint& rhs) {
return mint(lhs) += rhs;
}
friend constexpr mint operator-(const mint& lhs, const mint& rhs) {
return mint(lhs) -= rhs;
}
friend constexpr mint operator*(const mint& lhs, const mint& rhs) {
return mint(lhs) *= rhs;
}
friend constexpr mint operator/(const mint& lhs, const mint& rhs) {
return mint(lhs) /= rhs;
}
friend constexpr bool operator==(const mint& lhs, const mint& rhs) {
return lhs._v == rhs._v;
}
friend constexpr bool operator!=(const mint& lhs, const mint& rhs) {
return lhs._v != rhs._v;
}
friend std::ostream &operator<<(std::ostream &os, const mint& p) {
return os << p.val();
}
friend std::istream &operator>>(std::istream &is, mint &a) {
long long t; is >> t;
a = mint(t);
return (is);
}
private:
unsigned int _v;
static constexpr unsigned int umod() { return m; }
static constexpr bool prime = is_prime_flag<m>;
};
template <int id> struct dynamic_modint {
using mint = dynamic_modint;
public:
static int mod() { return (int)(bt.umod()); }
static void set_mod(int m) {
assert(1 <= m);
bt = barrett(m);
}
static mint raw(int v) {
mint x;
x._v = v;
return x;
}
dynamic_modint() : _v(0) {}
template<std::signed_integral T>
dynamic_modint(T v){
long long x = (long long)(v % (long long)(umod()));
if (x < 0) x += umod();
_v = (unsigned int)(x);
}
template<std::unsigned_integral T>
dynamic_modint(T v){
_v = (unsigned int)(v % umod());
}
unsigned int val() const { return _v; }
mint& operator++() {
_v++;
if (_v == umod()) _v = 0;
return *this;
}
mint& operator--() {
if (_v == 0) _v = umod();
_v--;
return *this;
}
mint operator++(int) {
mint result = *this;
++*this;
return result;
}
mint operator--(int) {
mint result = *this;
--*this;
return result;
}
mint& operator+=(const mint& rhs) {
_v += rhs._v;
if (_v >= umod()) _v -= umod();
return *this;
}
mint& operator-=(const mint& rhs) {
_v += mod() - rhs._v;
if (_v >= umod()) _v -= umod();
return *this;
}
mint& operator*=(const mint& rhs) {
_v = bt.mul(_v, rhs._v);
return *this;
}
mint& operator/=(const mint& rhs) { return *this = *this * rhs.inv(); }
mint operator+() const { return *this; }
mint operator-() const { return mint() - *this; }
mint pow(long long n) const {
assert(0 <= n);
mint x = *this, r = 1;
while (n) {
if (n & 1) r *= x;
x *= x;
n >>= 1;
}
return r;
}
mint inv() const {
auto eg = noya2::inv_gcd(_v, mod());
assert(eg.first == 1);
return eg.second;
}
friend mint operator+(const mint& lhs, const mint& rhs) {
return mint(lhs) += rhs;
}
friend mint operator-(const mint& lhs, const mint& rhs) {
return mint(lhs) -= rhs;
}
friend mint operator*(const mint& lhs, const mint& rhs) {
return mint(lhs) *= rhs;
}
friend mint operator/(const mint& lhs, const mint& rhs) {
return mint(lhs) /= rhs;
}
friend bool operator==(const mint& lhs, const mint& rhs) {
return lhs._v == rhs._v;
}
friend bool operator!=(const mint& lhs, const mint& rhs) {
return lhs._v != rhs._v;
}
friend std::ostream &operator<<(std::ostream &os, const mint& p) {
return os << p.val();
}
friend std::istream &operator>>(std::istream &is, mint &a) {
long long t; is >> t;
a = mint(t);
return (is);
}
private:
unsigned int _v;
static barrett bt;
static unsigned int umod() { return bt.umod(); }
};
template <int id> noya2::barrett dynamic_modint<id>::bt(998244353);
using modint998244353 = static_modint<998244353>;
using modint1000000007 = static_modint<1000000007>;
using modint = dynamic_modint<-1>;
template<typename T>
concept Modint = requires (T &a){
T::mod();
a.inv();
a.val();
a.pow(declval<int>());
};
} // namespace noya2
#line 4 "/Users/noya2/Desktop/Noya2_library/utility/modint61.hpp"
namespace noya2 {
template<>
struct static_modint<-61> {
static constexpr unsigned long long mod(){
return m;
}
static constexpr unsigned long long cal_mod(unsigned long long x){
unsigned long long xu = x >> 61;
unsigned long long xd = x & MASK61;
unsigned long long res = xu + xd;
if (res >= m) res -= m;
return res;
}
constexpr static_modint() : _v(0) {}
template<std::signed_integral T>
constexpr static_modint(T x){
while (x < 0) x += m;
while (x >= (long long)m) x -= m;
_v = x;
}
template<std::unsigned_integral T>
constexpr static_modint(T x){
while (x >= m) x -= m;
_v = x;
}
using modint61 = static_modint;
constexpr modint61 &operator+=(const modint61 &p){
_v += p._v;
if (_v >= m) _v -= m;
return *this;
}
constexpr modint61 &operator-=(const modint61 &p){
_v += m - p._v;
if (_v >= m) _v -= m;
return *this;
}
constexpr modint61 &operator*=(const modint61 &p){
unsigned long long a = _v, b = p._v;
unsigned long long au = a >> 31, ad = a & MASK31;
unsigned long long bu = b >> 31, bd = b & MASK31;
unsigned long long mid = ad * bu + au * bd;
unsigned long long midu = mid >> 30, midd = mid & MASK30;
_v = cal_mod(au * bu * 2 + midu + (midd << 31) + ad * bd);
return *this;
}
constexpr modint61 &operator/=(const modint61 &p){
*this *= p.inv();
return *this;
}
friend constexpr modint61 operator+(const modint61 &lhs, const modint61 &rhs){
return modint61(lhs) += rhs;
}
friend constexpr modint61 operator-(const modint61 &lhs, const modint61 &rhs){
return modint61(lhs) -= rhs;
}
friend constexpr modint61 operator*(const modint61 &lhs, const modint61 &rhs){
return modint61(lhs) *= rhs;
}
friend constexpr modint61 operator/(const modint61 &lhs, const modint61 &rhs){
return modint61(lhs) /= rhs;
}
constexpr modint61 operator+() const {
return *this;
}
constexpr modint61 operator-() const {
return modint61() - *this;
}
constexpr modint61 inv() const {
long long a = _v, b = m, u = 1, v = 0;
while (b > 0){
long long t = a / b;
std::swap(a -= t * b, b);
std::swap(u -= t * v, v);
}
if (u < 0) u += m / a;
assert(a == 1);
return modint61(u);
}
constexpr modint61 pow(long long n) const {
modint61 ret(1ULL), mul(_v);
while (n != 0){
if (n & 1) ret *= mul;
mul *= mul;
n >>= 1;
}
return ret;
}
friend std::ostream &operator<<(std::ostream &os, const modint61 &p){
return os << p._v;
}
constexpr unsigned long long val() const {
return _v;
}
constexpr auto operator<=>(const modint61 &) const = default;
private:
unsigned long long _v;
static constexpr unsigned long long m = (1ULL << 61) - 1;
static constexpr unsigned long long MASK30 = (1ULL << 30) - 1;
static constexpr unsigned long long MASK31 = (1ULL << 31) - 1;
static constexpr unsigned long long MASK61 = (1ULL << 61) - 1;
};
using modint61 = static_modint<-61>;
} // namespace noya2
#line 8 "c.cpp"
#line 2 "/Users/noya2/Desktop/Noya2_library/data_structure/offline_rectangle_sum.hpp"
#line 2 "/Users/noya2/Desktop/Noya2_library/data_structure/csr.hpp"
#line 4 "/Users/noya2/Desktop/Noya2_library/data_structure/csr.hpp"
#include<ranges>
#line 7 "/Users/noya2/Desktop/Noya2_library/data_structure/csr.hpp"
namespace noya2::internal {
template<class E>
struct csr {
csr () {}
csr (int _n) : n(_n) {}
csr (int _n, int m) : n(_n){
start.reserve(m);
elist.reserve(m);
}
// ACL style constructor (do not have to call build)
csr (int _n, const std::vector<std::pair<int,E>> &idx_elem) : n(_n), start(_n + 2), elist(idx_elem.size()) {
for (auto &[i, e] : idx_elem){
start[i + 2]++;
}
for (int i = 1; i < n; i++){
start[i + 2] += start[i + 1];
}
for (auto &[i, e] : idx_elem){
elist[start[i + 1]++] = e;
}
prepared = true;
}
int add(int idx, E elem){
int eid = start.size();
start.emplace_back(idx);
elist.emplace_back(elem);
return eid;
}
void build(){
if (prepared) return ;
int m = start.size();
std::vector<E> nelist(m);
std::vector<int> nstart(n + 2, 0);
for (int i = 0; i < m; i++){
nstart[start[i] + 2]++;
}
for (int i = 1; i < n; i++){
nstart[i + 2] += nstart[i + 1];
}
for (int i = 0; i < m; i++){
nelist[nstart[start[i] + 1]++] = elist[i];
}
swap(elist,nelist);
swap(start,nstart);
prepared = true;
}
const auto operator[](int idx) const {
return std::ranges::subrange(elist.begin()+start[idx],elist.begin()+start[idx+1]);
}
auto operator[](int idx){
return std::ranges::subrange(elist.begin()+start[idx],elist.begin()+start[idx+1]);
}
const auto operator()(int idx, int l, int r) const {
return std::ranges::subrange(elist.begin()+start[idx]+l,elist.begin()+start[idx]+r);
}
auto operator()(int idx, int l, int r){
return std::ranges::subrange(elist.begin()+start[idx]+l,elist.begin()+start[idx]+r);
}
size_t size() const {
return n;
}
int n;
std::vector<int> start;
std::vector<E> elist;
bool prepared = false;
};
} // namespace noya2::internal
#line 6 "/Users/noya2/Desktop/Noya2_library/data_structure/offline_rectangle_sum.hpp"
namespace noya2 {
template<Group G = plus_group<ll>>
struct offline_rectangle_sum {
using T = typename G::value_type;
int h, w, query_id;
internal::csr<pair<int,T>> elems;
internal::csr<tuple<int,int,int>> queries;
offline_rectangle_sum () {}
offline_rectangle_sum (int h_, int w_) : h(h_), w(w_), query_id(0), elems(h_), queries(h_+1) {}
offline_rectangle_sum (int h_, int w_, int m) : h(h_), w(w_), query_id(0), elems(h_,m), queries(h_+1) {}
offline_rectangle_sum (int h_, int w_, int m, int q) : h(h_), w(w_), query_id(0), elems(h_,m), queries(h_+1,q*2) {}
void add_elem(int x, int y, T e){
elems.add(x,pair<int,T>(y,e));
}
void add_query(int lx, int rx, int ly, int ry){
queries.add(lx,tuple<int,int,int>(ly,ry,-1-query_id));
queries.add(rx,tuple<int,int,int>(ly,ry,query_id));
query_id++;
}
vector<T> run(){
elems.build();
queries.build();
binary_indexed_tree<G> fen(w);
vector<T> ans(query_id,G::e());
for (int x = 0; ; x++){
for (auto [ly, ry, qid] : queries[x]){
if (qid >= 0){
ans[qid] = G::op(ans[qid],fen.prod(ly,ry));
}
else {
ans[-1-qid] = G::op(ans[-1-qid],G::inv(fen.prod(ly,ry)));
}
}
if (x == h) break;
for (auto [y, e] : elems[x]){
fen.add(y,e);
}
}
return ans;
}
};
} // namespace noya2
#line 10 "c.cpp"
void solve(){
int h, w; in(h,w);
int n; in(n);
offline_rectangle_sum<plus_group<modint61>> rt1(h,w,n), rt2(h,w,n);
random_device rd;
mt19937_64 mt(rd());
modint61 b1 = mt();
modint61 b2 = mt();
vector<modint61> b1s(h+1);
b1s[0] = 1;
rep(i,h){
b1s[i+1] = b1s[i] * b1;
}
vector<modint61> b2s(w+1);
b2s[0] = 1;
rep(i,w){
b2s[i+1] = b2s[i] * b2;
}
auto val = [&](int x, int y, int d){
return b1s[x] * b2s[y] * d;
};
rep(i,n){
int x1, y1; in(x1,y1); x1--, y1--;
int d1; in(d1);
int x2 = h-1-x1, y2 = w-1-y1;
int d2 = (d1 == 6 || d1 == 9 ? 15 - d1 : d1);
rt1.add_elem(x1,y1,val(x1,y1,d1));
rt2.add_elem(x2,y2,val(x2,y2,d2));
}
auto calc = [&](int lx, int rx, int ly, int ry, modint61 hs){
hs *= b1s[h-rx];
hs *= b2s[w-ry];
return hs;
};
int q; in(q);
vector<tuple<int,int,int,int>> xys(q);
rep(i,q){
int lx, rx, ly, ry; in(lx,ly,rx,ry); lx--, ly--;
rt1.add_query(lx,rx,ly,ry);
rt2.add_query(h-rx,h-lx,w-ry,w-ly);
xys[i] = {lx,rx,ly,ry};
}
auto qans1 = rt1.run();
auto qans2 = rt2.run();
rep(i,q){
auto [lx, rx, ly, ry] = xys[i];
auto h1 = calc(lx,rx,ly,ry,qans1[i]);
auto h2 = calc(h-rx,h-lx,w-ry,w-ly,qans2[i]);
yn(h1 == h2);
}
}
int main(){
int t = 1; //in(t);
while (t--) { solve(); }
}