QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#865902 | #8830. Breaking Bad | Xiaohuba | TL | 2ms | 7768kb | C++23 | 7.2kb | 2025-01-22 08:18:56 | 2025-01-22 08:18:56 |
Judging History
answer
#pragma GCC optimize("Ofast")
#include <vector>
#pragma GCC target("avx2")
#ifndef M_MODINT_H
#define M_MODINT_H
#include <algorithm>
#include <cassert>
#include <cstdint>
#include <iostream>
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wsign-compare"
#if __cplusplus < 201700L
#pragma GCC diagnostic ignored "-Wc++17-extensions"
#warning "Some features may not be available under c++17."
#endif
#define _static_helper __attribute__((always_inline)) constexpr inline static
#define _set_op(tp, op, attr) \
attr tp operator op(const tp &rhs) const { \
tp lhs = *this; \
return lhs op## = rhs; \
}
// === BEGIN Modint library ===
namespace Moeebius {
template <std::uint32_t mod> class Modint {
using u16 = std::uint16_t;
using i32 = std::int32_t;
using u32 = std::uint32_t;
u16 _v;
_static_helper u16 __get_inv_r(u16 x) {
u16 y = x;
y *= 2u - x * y, y *= 2u - x * y, y *= 2u - x * y;
return y;
}
_static_helper u16 __shrk(u16 x) { return std::min<u16>(x, x - mod); }
_static_helper u16 __shrk2(u16 x) { return std::min<u16>(x, x - 2u * mod); }
_static_helper u16 __dilt2(u16 x) { return std::min<u16>(x, x + 2u * mod); }
_static_helper u16 __reduce(u32 x) {
return (x + u32(u16(u16(x) * -mod_inv)) * mod) >> 16;
}
constexpr static inline u16 r2 = (1ull << 32) % mod,
mod_inv = __get_inv_r(mod);
static_assert(mod && (mod < (1 << 14)) && (mod & 1) &&
((mod_inv * mod) & UINT16_MAX) == 1u &&
__reduce(r2) == (1 << 16) % mod);
public:
constexpr Modint() : _v(0) {}
constexpr Modint(u16 v) : _v(__reduce(u32(v) * r2)) {}
constexpr Modint operator-() const { return Modint() - *this; }
constexpr Modint &operator+=(Modint rhs) {
return _v = __shrk2(_v + rhs._v), *this;
}
constexpr Modint &operator-=(Modint rhs) {
return _v = __dilt2(_v - rhs._v), *this;
}
constexpr Modint &operator*=(Modint rhs) {
return _v = __reduce(u32(_v) * rhs._v), *this;
}
constexpr Modint pow(u32 y) const {
Modint ans = 1, x = *this;
while (y) {
if (y & 1)
ans *= x;
x *= x, y >>= 1;
}
return ans;
}
constexpr Modint inv() const { return this->pow(mod - 2); }
constexpr u16 val() const { return __shrk(__reduce(_v)); }
constexpr Modint &operator/=(Modint rhs) { return (*this) *= rhs.inv(); }
constexpr explicit operator bool() const { return __shrk(_v); }
constexpr bool operator==(const Modint &rhs) const {
return __shrk(_v) == __shrk(rhs._v);
}
constexpr bool operator!=(const Modint &rhs) const {
return __shrk(_v) != __shrk(rhs._v);
}
_set_op(Modint, +, constexpr);
_set_op(Modint, -, constexpr);
_set_op(Modint, *, constexpr);
_set_op(Modint, /, constexpr);
};
} // namespace Moeebius
// === END Modint library ===
#undef _static_helper
#undef _set_op
#pragma GCC diagnostic pop
#endif
#include <bits/stdc++.h>
// #include <moeebius/modint.hpp>
using namespace std;
// #define LOCK_GETCHAR
// #define USE_INT_128
#if __cplusplus < 201400
#warning "Please use c++14 or higher."
#define CONSTEXPR_FUNC
#define ENABLE_IF_INT
#else
#define CONSTEXPR_FUNC constexpr
#define ENABLE_IF_INT , enable_if_t<_is_integer<T>, int> = 0
template <class T> constexpr bool _is_integer = numeric_limits<T>::is_integer;
template <> constexpr bool _is_integer<bool> = false;
template <> constexpr bool _is_integer<char> = false;
#ifdef USE_INT_128
template <> constexpr bool _is_integer<__int128> = true;
template <> constexpr bool _is_integer<__uint128_t> = true;
#endif
#endif
#if !defined(_WIN32) && !defined(__CYGWIN__) && !defined(LOCK_GETCHAR)
#define getchar getchar_unlocked
#endif
#define il inline
#define mkp make_pair
#define fi first
#define se second
#define ssz(x) (signed((x).size()))
#define _loop_i_t(j, k) make_signed_t<decltype((j) - (k))>
#define For(i, j, k) for (_loop_i_t(j, k) i = (j); i <= (k); ++i) // NOLINT
#define ForDown(i, j, k) \
for (_loop_i_t(j, k) i = (j); i >= decltype(i)(k); --i) // NOLINT
#define eb emplace_back
#ifndef ONLINE_JUDGE
#define FileIO(filename) \
freopen(filename ".in", "r", stdin); \
freopen(filename ".out", "w", stdout)
#else
#define FileIO(filename) void(0)
#endif
using ll = long long;
using uint = unsigned int;
using ull = unsigned long long;
using db = double;
using ldb = long double;
using pii = pair<int, int>;
using pll = pair<ll, ll>;
#ifdef USE_INT_128
using lll = __int128_t;
using ulll = __uint128_t;
#endif
// clang-format off
CONSTEXPR_FUNC il ll qpow(ll x, ull y, ll mod){ ll ans = 1; x %= mod; while (y) { if (y & 1) (ans *= x) %= mod; (x *= x) %= mod; y >>= 1; } return ans; }
template<typename T> CONSTEXPR_FUNC il void cmin(T & x, const T &y){ x = min(x, y); }
template<typename T> CONSTEXPR_FUNC il void cmax(T & x, const T &y){ x = max(x, y); }
template<typename T ENABLE_IF_INT> il void read(T &x){ x = 0; int f = 1; int c = getchar(); while (!isdigit(c)) { if (c == '-') f = -1; c = getchar(); } while (isdigit(c)) { x = x * 10 + (c - '0'); c = getchar(); } x *= f; }
template<typename T, typename ... Args> il void read(T &x, Args &... y){ read(x), read(y...); }
// clang-format on
// File head end
namespace {
constexpr int mod = 16001, g = 3;
using Z = Moeebius::Modint<mod>;
int n, a[1000][1000];
Z b[1000][1000], c[750][750], inv[mod + 5], pw[17], piw[17], ans[5];
mt19937 rnd(random_device{}());
__attribute__((noinline)) Z det() {
bool f = 1;
int len = min(n, 750);
For(i, 0, len - 1) {
int p = i;
while (p < len && !c[p][i])
p++;
if (p == len)
return {};
if (p != i)
swap(c[p], c[i]), f ^= 1;
Z iv = inv[c[i][i].val()];
For(j, 0, len - 1) if (j != i) {
Z mul = c[j][i] * iv;
#pragma GCC unroll(8)
#pragma GCC ivdep
For(k, 0, len - 1) c[j][k] -= c[i][k] * mul;
}
}
Z ans = f ? 1 : (mod - 1);
For(i, 0, len - 1) ans *= c[i][i];
return ans;
}
void Main() {
read(n);
For(i, 0, n - 1) For(j, 0, n - 1) read(a[i][j]), b[i][j] = int(rnd() % mod);
inv[1] = 1;
For(i, 2, mod - 1) inv[i] = inv[mod % i] * Z(mod - mod / i);
Z wn = Z(g).pow((mod - 1) / 5), iwn = wn.inv();
pw[0] = piw[0] = 1;
For(i, 1, 16) pw[i] = pw[i - 1] * wn, piw[i] = piw[i - 1] * iwn;
if (n <= 750) {
For(o, 0, 4) {
For(i, 0, n - 1) For(j, 0, n - 1) c[i][j] = b[i][j] * pw[a[i][j] * o];
Z val = det();
For(i, 0, 4) ans[i] += val * piw[i * o];
}
} else {
For(_, 1, 2) {
shuffle(b, b + n, rnd);
For(i, 0, n - 1) shuffle(b[i], b[i] + n, rnd);
For(o, 0, 4) {
For(i, 0, 749) For(j, 0, 749) c[i][j] = b[i][j] * pw[a[i][j] * o];
Z val = det();
For(i, 0, 4) ans[i] += val * piw[i * o];
}
}
}
For(i, 0, 4) putchar((ans[i]) ? 'Y' : 'N');
}
} // namespace
signed main() { return Main(), 0; }
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 0ms
memory: 5716kb
input:
2 0 4 4 0
output:
YNNYN
result:
ok "YNNYN"
Test #2:
score: 0
Accepted
time: 0ms
memory: 7764kb
input:
2 1 1 1 1
output:
NNYNN
result:
ok "NNYNN"
Test #3:
score: 0
Accepted
time: 0ms
memory: 7760kb
input:
4 0 0 1 0 0 1 0 1 0 0 0 0 1 1 0 0
output:
YYYYN
result:
ok "YYYYN"
Test #4:
score: 0
Accepted
time: 0ms
memory: 7764kb
input:
4 0 0 0 1 0 1 0 1 1 0 0 0 0 1 0 0
output:
YYYYN
result:
ok "YYYYN"
Test #5:
score: 0
Accepted
time: 0ms
memory: 7760kb
input:
10 1 4 2 0 0 2 0 1 3 3 0 3 1 4 4 1 4 0 2 2 1 4 2 0 0 2 0 1 0 3 0 3 1 4 4 1 4 0 2 2 4 2 0 3 3 0 3 4 1 1 2 0 3 1 1 3 1 2 4 4 4 2 0 3 3 0 3 4 1 1 2 0 3 1 1 3 1 2 4 4 1 4 2 0 0 2 0 1 3 3 3 1 4 2 2 4 2 3 0 0
output:
NYNNY
result:
ok "NYNNY"
Test #6:
score: 0
Accepted
time: 0ms
memory: 5716kb
input:
10 4 4 4 1 3 4 1 4 3 0 3 3 3 0 2 3 0 3 2 4 3 3 3 0 2 3 0 3 2 4 4 4 4 1 3 4 1 4 3 0 2 2 2 4 1 2 4 2 1 3 2 2 2 4 1 3 4 2 1 3 4 4 4 1 3 4 1 4 3 0 3 3 3 0 2 3 0 3 2 4 2 2 2 4 1 2 4 2 1 3 4 4 4 1 3 4 1 1 3 0
output:
YYYNY
result:
ok "YYYNY"
Test #7:
score: 0
Accepted
time: 0ms
memory: 5712kb
input:
10 1 2 0 4 2 3 4 0 2 3 0 1 4 3 1 2 3 4 1 2 4 0 3 2 0 1 2 3 0 1 1 2 0 4 2 3 4 0 2 3 3 4 2 1 4 0 1 2 4 0 0 1 4 3 1 2 3 4 1 2 2 3 1 0 3 4 0 1 3 4 3 1 1 1 4 0 1 2 4 0 1 2 0 4 2 3 4 0 2 3 1 3 0 4 2 3 4 0 2 3
output:
NYYYY
result:
ok "NYYYY"
Test #8:
score: 0
Accepted
time: 0ms
memory: 7760kb
input:
10 3 4 0 3 2 2 0 4 0 2 0 1 2 0 4 4 2 1 2 4 2 3 4 2 1 1 4 3 4 1 0 1 2 0 4 4 2 1 2 4 0 1 2 0 4 4 2 1 2 4 0 1 2 0 4 4 2 1 2 4 3 4 0 3 2 2 0 4 0 2 0 1 2 0 4 4 2 1 2 4 3 4 0 3 2 2 0 4 0 2 0 1 2 0 4 4 2 1 2 4
output:
NYNNN
result:
ok "NYNNN"
Test #9:
score: 0
Accepted
time: 0ms
memory: 5716kb
input:
10 4 1 3 1 2 0 3 2 4 4 0 2 4 2 3 1 4 3 0 0 1 1 1 1 2 0 3 2 4 1 2 4 1 4 0 3 1 0 2 2 1 3 0 3 4 2 0 4 1 1 2 4 1 4 0 3 1 0 2 2 2 4 1 4 0 3 1 0 2 2 0 2 4 2 3 1 4 3 0 0 3 0 2 1 1 4 2 1 3 3 4 1 3 1 2 0 3 2 4 4
output:
YYYYY
result:
ok "YYYYY"
Test #10:
score: 0
Accepted
time: 0ms
memory: 7768kb
input:
10 1 2 0 2 4 2 3 1 2 1 4 0 3 0 2 0 1 4 0 4 0 1 4 1 3 1 2 0 1 0 0 1 4 1 3 1 2 0 1 0 3 4 2 4 1 4 0 3 4 3 4 0 3 0 2 0 1 4 0 4 0 1 4 1 3 1 2 0 1 0 0 1 4 1 3 1 2 0 1 0 3 4 2 4 1 4 0 3 4 3 0 1 4 1 3 1 2 0 1 0
output:
NNNYN
result:
ok "NNNYN"
Test #11:
score: 0
Accepted
time: 2ms
memory: 7768kb
input:
10 1 4 1 2 1 3 3 2 1 2 0 3 0 1 0 2 2 1 0 1 0 4 0 3 0 2 2 1 0 1 1 4 1 2 1 3 3 2 1 2 4 2 4 0 4 1 1 0 4 0 1 1 1 4 1 0 3 2 1 2 0 0 0 1 0 2 2 1 0 1 2 0 2 3 2 4 4 3 2 3 2 0 2 3 2 4 4 3 2 3 2 0 2 3 2 4 4 3 2 3
output:
YYYYY
result:
ok "YYYYY"
Test #12:
score: 0
Accepted
time: 0ms
memory: 7720kb
input:
10 1 2 0 1 4 0 1 2 2 2 1 2 0 1 4 3 1 2 2 2 0 1 4 0 3 1 0 1 1 1 1 2 0 1 4 3 1 2 2 2 3 4 2 3 1 4 3 4 4 4 0 1 4 0 3 1 0 1 1 1 4 0 3 4 2 0 4 0 0 0 3 4 2 3 1 4 3 4 4 4 4 0 3 4 2 0 4 0 0 0 0 1 4 0 3 1 0 1 1 1
output:
YNYNY
result:
ok "YNYNY"
Test #13:
score: 0
Accepted
time: 0ms
memory: 7708kb
input:
10 1 3 0 0 2 1 3 4 3 3 3 3 0 0 4 1 3 4 3 3 1 1 3 3 2 4 1 2 1 1 2 4 1 1 3 2 4 0 4 4 4 1 3 3 0 4 1 2 1 1 2 4 1 1 3 2 4 0 4 4 0 2 4 4 1 0 2 3 2 2 3 0 2 2 4 3 0 1 0 0 3 0 2 2 4 3 0 1 0 0 4 2 4 4 1 0 2 3 2 2
output:
YYYNY
result:
ok "YYYNY"
Test #14:
score: 0
Accepted
time: 0ms
memory: 5712kb
input:
10 2 0 3 1 3 0 0 0 4 1 1 4 2 0 2 4 4 4 3 0 2 0 3 1 3 0 0 0 4 1 1 4 2 0 2 4 4 4 3 0 1 4 2 0 2 4 4 4 3 0 3 3 4 2 4 1 1 1 0 2 3 1 4 2 4 1 1 1 0 2 4 2 0 3 0 2 2 2 1 3 3 1 4 2 4 1 1 1 0 2 1 4 2 0 2 4 4 4 3 0
output:
YNYNN
result:
ok "YNYNN"
Test #15:
score: -100
Time Limit Exceeded
input:
1000 3 4 1 2 4 1 0 3 0 4 1 4 3 1 4 4 1 0 1 2 3 1 0 1 3 4 4 0 3 0 3 2 2 1 0 4 1 3 3 0 3 1 3 2 2 0 3 3 2 2 3 0 4 2 1 2 1 2 1 4 2 4 1 4 2 4 3 2 0 3 0 4 2 1 2 3 3 0 2 0 3 3 1 1 0 3 4 3 2 0 4 0 3 4 4 2 3 4 2 3 4 2 1 3 2 2 4 1 0 2 2 4 0 1 2 0 4 1 3 2 3 2 2 2 1 4 4 4 2 0 0 4 4 1 3 4 0 2 2 3 1 1 3 2 3 2 3 0...