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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#894690 | #6333. Festivals in JOI Kingdom 2 | liuziao | 100 ✓ | 1735ms | 4096kb | C++23 | 2.5kb | 2025-02-11 19:34:02 | 2025-02-11 19:34:02 |
Judging History
answer
#include <bits/stdc++.h>
// #define int int64_t
using i64 = int64_t;
const int kMaxN = 2e4 + 5;
int n, mod;
int fac[kMaxN * 2], ifac[kMaxN * 2], f[kMaxN][2];
struct Barrett {
int64_t m, p;
void init(int64_t mod) {
m = ((__int128_t)1 << 64) / mod;
p = mod;
}
int operator()(int64_t x) { return x - (((__int128_t)x * m) >> 64) * p; }
} Reduce;
int qpow(int bs, int64_t idx = mod - 2) {
int ret = 1;
for (; idx; idx >>= 1, bs = (int64_t)bs * bs % mod)
if (idx & 1)
ret = (int64_t)ret * bs % mod;
return ret;
}
inline int add(int x, int y) { return (x + y >= mod ? x + y - mod : x + y); }
inline int sub(int x, int y) { return (x >= y ? x - y : x - y + mod); }
inline void inc(int &x, int y) { (x += y) >= mod ? x -= mod : x; }
inline void dec(int &x, int y) { (x -= y) < 0 ? x += mod : x; }
inline int getfac(int l, int r) {
return l <= 0 ? 0 : 1ll * fac[r] * ifac[l - 1] % mod;
}
inline int up(int x, int k) {
return getfac(x, x + k - 1);
}
void prework(int n = 4e4) {
fac[0] = 1;
for (int i = 1; i <= n; ++i) fac[i] = 1ll * i * fac[i - 1] % mod;
ifac[n] = qpow(fac[n]);
for (int i = n; i; --i) ifac[i - 1] = 1ll * i * ifac[i] % mod;
}
void dickdreamer() {
std::cin >> n >> mod;
Reduce.init(mod);
prework(2 * n);
f[1][1] = f[2][0] = 1;
for (int i = 1; i < n; ++i) {
for (int o1 = 0; o1 <= 1; ++o1) {
if (!f[i][o1]) continue;
for (int o2 = 0; o2 <= 1; ++o2) {
int tmp = 1ll * f[i][o1] * ifac[2 * i - 2 + o1 - 1] % mod;
for (int j = 0; j <= n - i - 2 + o2; ++j) {
i64 coef = tmp;
coef = Reduce(coef * fac[2 * i - 2 + o1 + j - 1]);
if (!o1) coef = Reduce(coef * (j + 1));
if (!o2) coef = Reduce(coef * (j + !o1 + !o2));
inc(f[i + j + 2 - o2][o2], coef);
}
}
}
}
int ans = 1;
for (int i = 1; i <= 2 * n; i += 2) ans = 1ll * i * ans % mod;
for (int i = 1; i <= n; ++i) {
int j = n - i;
dec(ans, 1ll * (j + 1) * up(2 * i - 2, j) % mod * f[i][0] % mod);
dec(ans, 1ll * up(2 * i - 1, j) * f[i][1] % mod);
}
std::cout << ans << '\n';
}
int32_t main() {
#ifdef ORZXKR
freopen("in.txt", "r", stdin);
freopen("out.txt", "w", stdout);
#endif
std::ios::sync_with_stdio(0), std::cin.tie(0), std::cout.tie(0);
int T = 1;
// std::cin >> T;
while (T--) dickdreamer();
// std::cerr << 1.0 * clock() / CLOCKS_PER_SEC << "s\n";
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Subtask #1:
score: 5
Accepted
Test #1:
score: 5
Accepted
time: 0ms
memory: 3584kb
input:
1 194903119
output:
0
result:
ok 1 number(s): "0"
Test #2:
score: 5
Accepted
time: 0ms
memory: 3584kb
input:
2 933234047
output:
0
result:
ok 1 number(s): "0"
Test #3:
score: 5
Accepted
time: 0ms
memory: 3712kb
input:
3 277793111
output:
2
result:
ok 1 number(s): "2"
Test #4:
score: 5
Accepted
time: 0ms
memory: 3584kb
input:
4 355321177
output:
28
result:
ok 1 number(s): "28"
Test #5:
score: 5
Accepted
time: 0ms
memory: 3712kb
input:
5 306636893
output:
358
result:
ok 1 number(s): "358"
Subtask #2:
score: 5
Accepted
Dependency #1:
100%
Accepted
Test #6:
score: 5
Accepted
time: 0ms
memory: 3584kb
input:
8 361605653
output:
1236922
result:
ok 1 number(s): "1236922"
Test #7:
score: 5
Accepted
time: 0ms
memory: 3584kb
input:
8 995512643
output:
1236922
result:
ok 1 number(s): "1236922"
Test #8:
score: 5
Accepted
time: 1ms
memory: 3712kb
input:
8 101102801
output:
1236922
result:
ok 1 number(s): "1236922"
Test #9:
score: 5
Accepted
time: 0ms
memory: 3712kb
input:
6 458322727
output:
4894
result:
ok 1 number(s): "4894"
Test #10:
score: 5
Accepted
time: 1ms
memory: 3712kb
input:
7 721691819
output:
73884
result:
ok 1 number(s): "73884"
Test #11:
score: 5
Accepted
time: 0ms
memory: 3584kb
input:
7 370629137
output:
73884
result:
ok 1 number(s): "73884"
Subtask #3:
score: 27
Accepted
Dependency #1:
100%
Accepted
Dependency #2:
100%
Accepted
Test #12:
score: 27
Accepted
time: 0ms
memory: 3712kb
input:
30 779092367
output:
686412377
result:
ok 1 number(s): "686412377"
Test #13:
score: 27
Accepted
time: 0ms
memory: 3584kb
input:
29 963995171
output:
128570082
result:
ok 1 number(s): "128570082"
Test #14:
score: 27
Accepted
time: 0ms
memory: 3712kb
input:
18 666092701
output:
185922458
result:
ok 1 number(s): "185922458"
Test #15:
score: 27
Accepted
time: 0ms
memory: 3712kb
input:
14 671243719
output:
623913899
result:
ok 1 number(s): "623913899"
Subtask #4:
score: 14
Accepted
Dependency #1:
100%
Accepted
Dependency #2:
100%
Accepted
Dependency #3:
100%
Accepted
Test #16:
score: 14
Accepted
time: 1ms
memory: 3584kb
input:
300 463478027
output:
89265245
result:
ok 1 number(s): "89265245"
Test #17:
score: 14
Accepted
time: 0ms
memory: 3584kb
input:
296 567610679
output:
406342763
result:
ok 1 number(s): "406342763"
Test #18:
score: 14
Accepted
time: 0ms
memory: 3584kb
input:
297 609090359
output:
128986577
result:
ok 1 number(s): "128986577"
Test #19:
score: 14
Accepted
time: 0ms
memory: 3584kb
input:
48 759569383
output:
635573072
result:
ok 1 number(s): "635573072"
Test #20:
score: 14
Accepted
time: 1ms
memory: 3712kb
input:
99 298873033
output:
285340078
result:
ok 1 number(s): "285340078"
Subtask #5:
score: 36
Accepted
Dependency #1:
100%
Accepted
Dependency #2:
100%
Accepted
Dependency #3:
100%
Accepted
Dependency #4:
100%
Accepted
Test #21:
score: 36
Accepted
time: 40ms
memory: 3712kb
input:
3000 752129633
output:
33058561
result:
ok 1 number(s): "33058561"
Test #22:
score: 36
Accepted
time: 39ms
memory: 3840kb
input:
2993 491173567
output:
343277625
result:
ok 1 number(s): "343277625"
Test #23:
score: 36
Accepted
time: 39ms
memory: 3840kb
input:
2993 783095563
output:
776085006
result:
ok 1 number(s): "776085006"
Test #24:
score: 36
Accepted
time: 1ms
memory: 3584kb
input:
327 399783431
output:
163535283
result:
ok 1 number(s): "163535283"
Test #25:
score: 36
Accepted
time: 7ms
memory: 3712kb
input:
1233 857060207
output:
422139845
result:
ok 1 number(s): "422139845"
Test #26:
score: 36
Accepted
time: 5ms
memory: 3712kb
input:
1114 600227447
output:
598509129
result:
ok 1 number(s): "598509129"
Subtask #6:
score: 13
Accepted
Dependency #1:
100%
Accepted
Dependency #2:
100%
Accepted
Dependency #3:
100%
Accepted
Dependency #4:
100%
Accepted
Dependency #5:
100%
Accepted
Test #27:
score: 13
Accepted
time: 1733ms
memory: 4096kb
input:
20000 221054167
output:
39809956
result:
ok 1 number(s): "39809956"
Test #28:
score: 13
Accepted
time: 1731ms
memory: 4096kb
input:
19997 823974001
output:
267537750
result:
ok 1 number(s): "267537750"
Test #29:
score: 13
Accepted
time: 1735ms
memory: 4096kb
input:
19991 501689843
output:
16527909
result:
ok 1 number(s): "16527909"
Test #30:
score: 13
Accepted
time: 889ms
memory: 3968kb
input:
14344 925452091
output:
212324779
result:
ok 1 number(s): "212324779"
Test #31:
score: 13
Accepted
time: 161ms
memory: 3712kb
input:
6098 507350869
output:
310480789
result:
ok 1 number(s): "310480789"
Test #32:
score: 13
Accepted
time: 135ms
memory: 3840kb
input:
5564 406069759
output:
105694337
result:
ok 1 number(s): "105694337"
Extra Test:
score: 0
Extra Test Passed