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ID | 题目 | 提交者 | 结果 | 用时 | 内存 | 语言 | 文件大小 | 提交时间 | 测评时间 |
---|---|---|---|---|---|---|---|---|---|
#351300 | #6333. Festivals in JOI Kingdom 2 | JCY_ | 100 ✓ | 2505ms | 4688kb | C++14 | 2.3kb | 2024-03-11 20:12:22 | 2024-03-11 20:12:23 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using ull = unsigned long long;
using ld = long double;
using i128 = __int128;
using u128 = unsigned __int128;
template <typename T>
void chkmax(T &x, const T &y) {
if (x < y) x = y;
}
template <typename T>
void chkmin(T &x, const T &y) {
if (y < x) x = y;
}
namespace brt {
int p;
ull coef;
void init(int _p) {
p = _p;
coef = (1ull << 62) / p;
}
int reduce(ll x) {
x -= (((i128)x * coef) >> 62) * p;
return x >= p ? x - p : x;
}
} // namespace brt
int mod;
void inc(int &x, int y) {
x += y;
if (x >= mod) x -= mod;
}
int sub(int x, int y) {
x -= y;
return x < 0 ? x + mod : x;
}
void upd(int &x, ll y) { x = brt::reduce(x + y); }
int qpow(int x, int y) {
int ret = 1;
for (; y; y >>= 1, x = (ll)x * x % mod)
if (y & 1) ret = (ll)ret * x % mod;
return ret;
}
constexpr int MAXN = 2e4 + 10;
int n, f[2][MAXN][3], ext[MAXN * 2][2], fac[MAXN * 2], ifac[MAXN * 2];
int A(int x, int y) { return brt::reduce((ll)fac[x] * ifac[x - y]); }
int main() {
ios::sync_with_stdio(false);
cin.tie(nullptr);
cin >> n >> mod;
brt::init(mod);
fac[0] = 1;
for (int i = 1; i <= n * 2; ++i) fac[i] = (ll)fac[i - 1] * i % mod;
ifac[n * 2] = qpow(fac[n * 2], mod - 2);
for (int i = n * 2 - 1; i >= 0; --i) ifac[i] = (ll)ifac[i + 1] * (i + 1) % mod;
int p = 0;
f[0][0][2] = 1;
for (int i = 2; i <= n * 2; ++i) {
p ^= 1;
memset(f[p], 0, sizeof(int) * (min(i, n * 2 - i) + 1) * 3);
for (int j = 0, up = min(i - 1, n * 2 - i + 1); j <= up; ++j) {
int cur = f[!p][j][0];
if (cur) inc(f[p][j][2], cur);
cur = f[!p][j][1];
if (cur) {
inc(f[p][j + 1][1], cur);
inc(f[p][j][0], cur);
}
cur = f[!p][j][2];
if (cur) {
inc(f[p][j + 1][2], cur);
upd(ext[i + j][0], (ll)cur * A(n * 2 - i, j));
upd(ext[i + j - 1][1], (ll)brt::reduce((ll)cur * A(n * 2 - i, j - 1)) * j);
}
}
inc(f[p][0][0], ext[i][0]);
inc(f[p][0][1], ext[i][1]);
}
int all = 1;
for (int i = n * 2 - 1; i >= 1; i -= 2) all = (ll)all * i % mod;
cout << sub(all, f[p][0][0]) << "\n";
return 0;
}
/*
g++ kingdom.cpp -o kingdom -std=c++14 -O2 -Wall -Wextra -Wshadow -g -fsanitize=address,undefined
*/
详细
Subtask #1:
score: 5
Accepted
Test #1:
score: 5
Accepted
time: 0ms
memory: 3576kb
input:
1 194903119
output:
0
result:
ok 1 number(s): "0"
Test #2:
score: 0
Accepted
time: 0ms
memory: 3632kb
input:
2 933234047
output:
0
result:
ok 1 number(s): "0"
Test #3:
score: 0
Accepted
time: 0ms
memory: 3640kb
input:
3 277793111
output:
2
result:
ok 1 number(s): "2"
Test #4:
score: 0
Accepted
time: 0ms
memory: 3648kb
input:
4 355321177
output:
28
result:
ok 1 number(s): "28"
Test #5:
score: 0
Accepted
time: 0ms
memory: 3652kb
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: 3604kb
input:
8 361605653
output:
1236922
result:
ok 1 number(s): "1236922"
Test #7:
score: 0
Accepted
time: 0ms
memory: 3608kb
input:
8 995512643
output:
1236922
result:
ok 1 number(s): "1236922"
Test #8:
score: 0
Accepted
time: 0ms
memory: 3576kb
input:
8 101102801
output:
1236922
result:
ok 1 number(s): "1236922"
Test #9:
score: 0
Accepted
time: 0ms
memory: 3656kb
input:
6 458322727
output:
4894
result:
ok 1 number(s): "4894"
Test #10:
score: 0
Accepted
time: 0ms
memory: 3572kb
input:
7 721691819
output:
73884
result:
ok 1 number(s): "73884"
Test #11:
score: 0
Accepted
time: 0ms
memory: 3612kb
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: 3576kb
input:
30 779092367
output:
686412377
result:
ok 1 number(s): "686412377"
Test #13:
score: 0
Accepted
time: 0ms
memory: 3692kb
input:
29 963995171
output:
128570082
result:
ok 1 number(s): "128570082"
Test #14:
score: 0
Accepted
time: 0ms
memory: 3576kb
input:
18 666092701
output:
185922458
result:
ok 1 number(s): "185922458"
Test #15:
score: 0
Accepted
time: 0ms
memory: 3612kb
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: 3664kb
input:
300 463478027
output:
89265245
result:
ok 1 number(s): "89265245"
Test #17:
score: 0
Accepted
time: 1ms
memory: 3572kb
input:
296 567610679
output:
406342763
result:
ok 1 number(s): "406342763"
Test #18:
score: 0
Accepted
time: 1ms
memory: 3620kb
input:
297 609090359
output:
128986577
result:
ok 1 number(s): "128986577"
Test #19:
score: 0
Accepted
time: 0ms
memory: 3696kb
input:
48 759569383
output:
635573072
result:
ok 1 number(s): "635573072"
Test #20:
score: 0
Accepted
time: 0ms
memory: 3596kb
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: 56ms
memory: 3736kb
input:
3000 752129633
output:
33058561
result:
ok 1 number(s): "33058561"
Test #22:
score: 0
Accepted
time: 56ms
memory: 3800kb
input:
2993 491173567
output:
343277625
result:
ok 1 number(s): "343277625"
Test #23:
score: 0
Accepted
time: 57ms
memory: 3812kb
input:
2993 783095563
output:
776085006
result:
ok 1 number(s): "776085006"
Test #24:
score: 0
Accepted
time: 1ms
memory: 3620kb
input:
327 399783431
output:
163535283
result:
ok 1 number(s): "163535283"
Test #25:
score: 0
Accepted
time: 6ms
memory: 3644kb
input:
1233 857060207
output:
422139845
result:
ok 1 number(s): "422139845"
Test #26:
score: 0
Accepted
time: 8ms
memory: 3696kb
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: 2505ms
memory: 4688kb
input:
20000 221054167
output:
39809956
result:
ok 1 number(s): "39809956"
Test #28:
score: 0
Accepted
time: 2487ms
memory: 4648kb
input:
19997 823974001
output:
267537750
result:
ok 1 number(s): "267537750"
Test #29:
score: 0
Accepted
time: 2492ms
memory: 4652kb
input:
19991 501689843
output:
16527909
result:
ok 1 number(s): "16527909"
Test #30:
score: 0
Accepted
time: 1283ms
memory: 4360kb
input:
14344 925452091
output:
212324779
result:
ok 1 number(s): "212324779"
Test #31:
score: 0
Accepted
time: 237ms
memory: 3904kb
input:
6098 507350869
output:
310480789
result:
ok 1 number(s): "310480789"
Test #32:
score: 0
Accepted
time: 193ms
memory: 3880kb
input:
5564 406069759
output:
105694337
result:
ok 1 number(s): "105694337"
Extra Test:
score: 0
Extra Test Passed