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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#738820 | #5442. Referee Without Red | Xiaohuba | WA | 152ms | 92708kb | C++23 | 6.8kb | 2024-11-12 20:01:57 | 2024-11-12 20:01:57 |
Judging History
answer
#include <bits/stdc++.h>
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 ll MAXN = 3e6 + 5, mod = 998244353, inv2 = (mod + 1) >> 1;
int T, n, m, fa[MAXN], pw[MAXN], nxt[MAXN], cnt[MAXN];
pii mf[MAXN];
ll fac[MAXN], ifac[MAXN];
bool vis[MAXN];
bitset<MAXN> notPr;
vector<int> A, p, q, pr;
vector<vector<int>> cycP, cycQ;
#define id(x, y) ((x) * m + (y))
ll C(int x, int y) {
if (x < 0 || y < 0 || x < y)
return 0;
return fac[x] * ifac[y] % mod * ifac[x - y] % mod;
}
void getCyc(const vector<int> &perm, vector<vector<int>> &cyc) {
int len = ssz(perm);
fill(vis, vis + len, 0), cyc.clear();
For(i, 0, len - 1) if (!vis[i]) {
int p = i;
cyc.eb();
do {
cyc.back().eb(p), vis[p] = 1, p = perm[p];
} while (p != i);
}
}
int period(const vector<int> &x) {
nxt[0] = -1;
for (int i = 1, j = -1; i < ssz(x); i++) {
while (~j && x[j + 1] != x[i])
j = nxt[j];
if (x[j + 1] == x[i])
j++;
nxt[i] = j;
}
int len = ssz(x), bor = nxt[len - 1] + 1;
return (len % (len - bor)) ? len : len - bor;
}
void upd_pw(int x) {
while (x > 1) {
auto [_v, _c] = mf[x];
cmax(pw[_v], _c);
while (_c--)
x /= _v;
}
}
void init() {
n = MAXN - 5;
fac[0] = 1;
For(i, 1, n) fac[i] = fac[i - 1] * i % mod;
ifac[n] = qpow(fac[n], mod - 2, mod);
ForDown(i, n, 1) ifac[i - 1] = ifac[i] * i % mod;
notPr[1] = 1, mf[1] = {1, 1};
For(i, 2, n) {
if (!notPr[i]) {
pr.eb(i), mf[i] = {i, 1};
}
for (int j : pr) {
if (1ll * i * j > n)
break;
notPr[i * j] = 1;
if (i % j)
mf[i * j] = {j, 1};
else {
mf[i * j] = {j, mf[i].se + 1};
break;
}
}
}
}
int find(int x) { return fa[x] == x ? fa[x] : fa[x] = find(fa[x]); }
il void Main() {
// FileIO("matrix");
read(T), init();
while (T--) {
read(n, m), p.resize(n), q.resize(m), A.resize(n * m);
// For(i, 0, n - 1) read(p[i]), p[i]--;
// For(i, 0, m - 1) read(q[i]), q[i]--;
{
int c = 0;
for (int i = 0; i < n; i += 2)
p[i] = c++;
for (int i = 1; i < n; i += 2)
p[i] = c++;
c = 0;
for (int i = 0; i < m; i += 2)
q[i] = c++;
for (int i = 1; i < m; i += 2)
q[i] = c++;
}
For(i, 0, n - 1) For(j, 0, m - 1) read(A[id(i, j)]);
getCyc(p, cycP), getCyc(q, cycQ);
ll ans = 1;
for (const auto &v1 : cycP)
if (ssz(v1) == 1) {
int x = v1[0];
fill(pw + 1, pw + 1 + m, 0);
for (const auto &v2 : cycQ) {
static vector<int> tmp;
tmp.resize(ssz(v2));
For(i, 0, ssz(v2) - 1) tmp[i] = A[id(x, v2[i])];
upd_pw(period(tmp));
}
For(i, 1, m) if (pw[i])(ans *= qpow(i, pw[i], mod)) %= mod;
}
for (const auto &v1 : cycQ)
if (ssz(v1) == 1) {
int x = v1[0];
fill(pw + 1, pw + 1 + n, 0);
for (const auto &v2 : cycP) {
static vector<int> tmp;
tmp.resize(ssz(v2));
For(i, 0, ssz(v2) - 1) tmp[i] = A[id(v2[i], x)];
upd_pw(period(tmp));
}
For(i, 1, n) if (pw[i])(ans *= qpow(i, pw[i], mod)) %= mod;
}
iota(fa, fa + ssz(cycP) + ssz(cycQ) + 1, 0);
for (int i = 0; i < ssz(cycP); i++)
if (ssz(cycP[i]) > 1)
for (int j = 0; j < ssz(cycQ); j++)
if (ssz(cycQ[j]) > 1) {
const auto &v1 = cycP[i], &v2 = cycQ[j];
int len1 = ssz(v1), len2 = ssz(v2);
bool flg = 1;
for (int x : v1)
for (int y : v2) {
flg &= !cnt[A[id(x, y)]];
cnt[A[id(x, y)]]++;
}
(ans *= fac[len1 * len2]) %= mod;
for (int x : v1)
for (int y : v2)
(ans *= ifac[exchange(cnt[A[id(x, y)]], 0)]) %= mod;
if (flg) {
int u = find((len1 & 1) ? (ssz(cycP) + ssz(cycQ)) : i);
int v =
find((len2 & 1) ? (ssz(cycP) + ssz(cycQ)) : ssz(cycP) + j);
if (u != v)
fa[u] = v;
(ans *= inv2) %= mod;
}
}
int tot = ssz(cycP) + ssz(cycQ) + 1, pw2 = tot;
For(i, 0, tot - 1) if (find(i) == i) pw2--;
(ans *= qpow(2, pw2, mod)) %= mod;
printf("%lld\n", ans);
}
}
} // namespace
signed main() { return Main(), 0; }
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 37ms
memory: 84384kb
input:
2 4 4 1 2 3 4 3 4 1 2 1 2 4 1 4 3 3 2 3 9 1 8 1 1 8 1 1 8 1 1 8 8 8 8 8 8 8 1 1 1 1 8 8 8 1 1 1
output:
96 6336
result:
ok 2 number(s): "96 6336"
Test #2:
score: 0
Accepted
time: 49ms
memory: 82256kb
input:
1 18 16 8 8 1 1 8 8 8 1 8 8 8 1 8 8 8 1 8 1 8 1 8 1 1 1 8 1 1 1 8 1 1 1 8 8 8 1 8 8 8 1 8 8 8 1 8 8 8 1 8 8 1 1 8 1 1 1 8 1 1 1 8 1 1 1 8 1 8 1 8 8 8 1 8 1 1 1 8 8 8 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 8 8 1 1 8 8 8 1 8 8 8 1 7 7 7 1 8 1 8 1 8 1 1 1 8 1 1 1 1 1 7 1 8 8 8 1 8 8 8 1 8 8 8 1 1 7 7 1 8 8 ...
output:
690561281
result:
ok 1 number(s): "690561281"
Test #3:
score: -100
Wrong Answer
time: 152ms
memory: 92708kb
input:
71117 7 8 2868391 1228870 2892937 349733 664891 1675356 1981526 762573 2892937 2892937 664891 1228870 959280 762573 664891 959280 349733 250147 1675356 349733 349733 762573 1675356 250147 1675356 959280 664891 250147 250147 250147 2868391 959280 1675356 664891 250147 1228870 1981526 250147 2868391 2...
output:
462363428 38853786 194740086 215040 40320 322560 32456681 1166400 887214222 542386470 375765881 9 4 361590980 913481201 527607149 85428015 311271219 16 645120 557106771 388800 173057174 232068778 460990604 1 618786068 9 571768698 40098691 97370043 799392782 155415144 1 36 3991680 645120 545661527 55...
result:
wrong answer 27th numbers differ - expected: '239327783', found: '618786068'