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ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#462997 | #6333. Festivals in JOI Kingdom 2 | alpha1022 | 100 ✓ | 4052ms | 4276kb | C++14 | 1.8kb | 2024-07-04 11:02:31 | 2024-07-04 11:02:31 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
using ull = unsigned long long;
using L = __uint128_t;
int mod;
struct FastMod {
ull b, m;
FastMod(ull b) : b(b), m(ull((L(1) << 64) / b)) {}
ull operator()(ull a) {
ull q = (ull)((L(m) * a) >> 64);
ull r = a - q * b; // can be proven that 0 <= r < 2*b
return r >= b ? r - b : r;
}
} R(2);
int norm(int x) { return x >= mod ? x - mod : x; }
int reduce(int x) { return x < 0 ? x + mod : x; }
int neg(int x) { return x ? mod - x : 0; }
int quo2(int x) { return (x + (x & 1 ? mod : 0)) >> 1; }
void add(int &x, int y) { x += y, x = x >= mod ? x - mod : x; }
void sub(int &x, int y) { x -= y, x = x < 0 ? x + mod : x; }
void fam(int &x, int y, int z) { x = R(x + (ull)y * z); }
int mpow(int a, int b) {
int ret = 1;
for (; b; b >>= 1) {
if (b & 1) ret = R((ull)ret * a);
a = R((ull)a * a);
}
return ret;
}
const int N = 2e4;
int n;
int fac[N * 4 + 5], ifac[N * 4 + 5];
int f[N + 5][2], ans = 1;
int main() {
scanf("%d%d", &n, &mod), R = FastMod(mod), fac[0] = 1;
for (int i = 1; i <= n * 2; ++i) fac[i] = R((ull)fac[i - 1] * i);
ifac[n * 2] = mpow(fac[n * 2], mod - 2);
for (int i = n * 2; i; --i) ifac[i - 1] = R((ull)ifac[i] * i);
f[1][0] = f[2][1] = 1;
for (int i = 1; i <= n; ++i)
for (int u = 0; u < 2; ++u)
if (f[i][u])
for (int j = 0; i + j <= n; ++j)
for (int v = 0; v < 2 && i + j + v <= n; ++v) {
ull t = f[i][u];
if (v) t *= j + 1 + u;
if (u) t *= j + 1;
f[i + j + v + 1][v] = R(f[i + j + v + 1][v] + R(R(t) * fac[i * 2 - 2 - u + j]) * ifac[i * 2 - 2 - u]);
}
for (int i = 3; i <= n * 2; i += 2) ans = R((ull)ans * i);
sub(ans, f[n + 1][0]), printf("%d\n", ans);
}
Details
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Subtask #1:
score: 5
Accepted
Test #1:
score: 5
Accepted
time: 0ms
memory: 3808kb
input:
1 194903119
output:
0
result:
ok 1 number(s): "0"
Test #2:
score: 0
Accepted
time: 0ms
memory: 3812kb
input:
2 933234047
output:
0
result:
ok 1 number(s): "0"
Test #3:
score: 0
Accepted
time: 0ms
memory: 4068kb
input:
3 277793111
output:
2
result:
ok 1 number(s): "2"
Test #4:
score: 0
Accepted
time: 0ms
memory: 3828kb
input:
4 355321177
output:
28
result:
ok 1 number(s): "28"
Test #5:
score: 0
Accepted
time: 0ms
memory: 3784kb
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: 4040kb
input:
8 361605653
output:
1236922
result:
ok 1 number(s): "1236922"
Test #7:
score: 0
Accepted
time: 0ms
memory: 3784kb
input:
8 995512643
output:
1236922
result:
ok 1 number(s): "1236922"
Test #8:
score: 0
Accepted
time: 0ms
memory: 3804kb
input:
8 101102801
output:
1236922
result:
ok 1 number(s): "1236922"
Test #9:
score: 0
Accepted
time: 0ms
memory: 3804kb
input:
6 458322727
output:
4894
result:
ok 1 number(s): "4894"
Test #10:
score: 0
Accepted
time: 0ms
memory: 3808kb
input:
7 721691819
output:
73884
result:
ok 1 number(s): "73884"
Test #11:
score: 0
Accepted
time: 0ms
memory: 3732kb
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: 3732kb
input:
30 779092367
output:
686412377
result:
ok 1 number(s): "686412377"
Test #13:
score: 0
Accepted
time: 0ms
memory: 3788kb
input:
29 963995171
output:
128570082
result:
ok 1 number(s): "128570082"
Test #14:
score: 0
Accepted
time: 0ms
memory: 4068kb
input:
18 666092701
output:
185922458
result:
ok 1 number(s): "185922458"
Test #15:
score: 0
Accepted
time: 0ms
memory: 3804kb
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: 4080kb
input:
300 463478027
output:
89265245
result:
ok 1 number(s): "89265245"
Test #17:
score: 0
Accepted
time: 1ms
memory: 3784kb
input:
296 567610679
output:
406342763
result:
ok 1 number(s): "406342763"
Test #18:
score: 0
Accepted
time: 0ms
memory: 3864kb
input:
297 609090359
output:
128986577
result:
ok 1 number(s): "128986577"
Test #19:
score: 0
Accepted
time: 0ms
memory: 3848kb
input:
48 759569383
output:
635573072
result:
ok 1 number(s): "635573072"
Test #20:
score: 0
Accepted
time: 0ms
memory: 3876kb
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: 92ms
memory: 3844kb
input:
3000 752129633
output:
33058561
result:
ok 1 number(s): "33058561"
Test #22:
score: 0
Accepted
time: 91ms
memory: 3928kb
input:
2993 491173567
output:
343277625
result:
ok 1 number(s): "343277625"
Test #23:
score: 0
Accepted
time: 91ms
memory: 4132kb
input:
2993 783095563
output:
776085006
result:
ok 1 number(s): "776085006"
Test #24:
score: 0
Accepted
time: 1ms
memory: 3804kb
input:
327 399783431
output:
163535283
result:
ok 1 number(s): "163535283"
Test #25:
score: 0
Accepted
time: 16ms
memory: 4104kb
input:
1233 857060207
output:
422139845
result:
ok 1 number(s): "422139845"
Test #26:
score: 0
Accepted
time: 13ms
memory: 4104kb
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: 4046ms
memory: 4276kb
input:
20000 221054167
output:
39809956
result:
ok 1 number(s): "39809956"
Test #28:
score: 0
Accepted
time: 4052ms
memory: 4248kb
input:
19997 823974001
output:
267537750
result:
ok 1 number(s): "267537750"
Test #29:
score: 0
Accepted
time: 4043ms
memory: 4244kb
input:
19991 501689843
output:
16527909
result:
ok 1 number(s): "16527909"
Test #30:
score: 0
Accepted
time: 2079ms
memory: 4144kb
input:
14344 925452091
output:
212324779
result:
ok 1 number(s): "212324779"
Test #31:
score: 0
Accepted
time: 376ms
memory: 3940kb
input:
6098 507350869
output:
310480789
result:
ok 1 number(s): "310480789"
Test #32:
score: 0
Accepted
time: 313ms
memory: 4156kb
input:
5564 406069759
output:
105694337
result:
ok 1 number(s): "105694337"
Extra Test:
score: 0
Extra Test Passed