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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 |
---|---|---|---|---|---|---|---|---|---|
#352061 | #6333. Festivals in JOI Kingdom 2 | zyz07 | 100 ✓ | 3625ms | 7528kb | C++17 | 1.5kb | 2024-03-12 20:10:58 | 2024-03-12 20:10:58 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
#define For(Ti,Ta,Tb) for(auto Ti=(Ta);Ti<=(Tb);++Ti)
#define Dec(Ti,Ta,Tb) for(auto Ti=(Ta);Ti>=(Tb);--Ti)
#define debug(...) fprintf(stderr,__VA_ARGS__)
#define range(Tx) begin(Tx),end(Tx)
using ll=long long;
using i128=__int128;
const int N=2e4+5;
int n,mod;
ll fac[N*2],inv[N*2],ifac[N*2];
void init_fac(){
fac[0]=1;
For(i,1,N*2-1) fac[i]=fac[i-1]*i%mod;
inv[1]=1;
For(i,2,N*2-1) inv[i]=(mod-mod/i)*inv[mod%i]%mod;
ifac[0]=ifac[1]=1;
For(i,2,N*2-1) ifac[i]=ifac[i-1]*inv[i]%mod;
}
void reduce(ll& x){
x=(x>=mod?x-mod:x);
}
ll f[2][N][3];
i128 g[N*2][3];
// 0:没有劣势
// 1:没有劣势,有左端点
// 2:有劣势,有左端点
int main(){
cin.tie(nullptr)->sync_with_stdio(false);
cin>>n>>mod;
init_fac();
auto ff=[&](int n,int m){
return n<m?0:fac[n]*ifac[n-m];
};
f[0][0][0]=1;
For(i,0,n*2-1){
memset(f[~i&1],0,sizeof(ll)*min(n,i+1)*3);
For(k,0,min({n,i,n*2-i})){
// 左括号
reduce(f[~i&1][k+1][1]+=f[i&1][k][0]);
reduce(f[~i&1][k+1][1]+=f[i&1][k][1]);
reduce(f[~i&1][k+1][2]+=f[i&1][k][2]);
// 右括号
reduce(f[~i&1][k][0]+=f[i&1][k][2]);
if(k){
if(k>1){
g[i+k-1][2]+=i128(k-1)*f[i&1][k][1]*ff(n*2-i-1,k-2);
}
g[i+k][0]+=i128(f[i&1][k][1])*ff(n*2-i-1,k-1);
}
}
reduce(f[~i&1][0][0]+=g[i+1][0]%mod);
reduce(f[~i&1][0][2]+=g[i+1][2]%mod);
}
ll all=1;
for(int i=n*2-1;i>=1;i-=2){
(all*=i)%=mod;
}
cout<<(all-f[0][0][0]+mod)%mod<<'\n';
return 0;
}
详细
Subtask #1:
score: 5
Accepted
Test #1:
score: 5
Accepted
time: 0ms
memory: 4548kb
input:
1 194903119
output:
0
result:
ok 1 number(s): "0"
Test #2:
score: 0
Accepted
time: 0ms
memory: 4592kb
input:
2 933234047
output:
0
result:
ok 1 number(s): "0"
Test #3:
score: 0
Accepted
time: 2ms
memory: 4708kb
input:
3 277793111
output:
2
result:
ok 1 number(s): "2"
Test #4:
score: 0
Accepted
time: 2ms
memory: 4516kb
input:
4 355321177
output:
28
result:
ok 1 number(s): "28"
Test #5:
score: 0
Accepted
time: 1ms
memory: 4436kb
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: 2ms
memory: 4760kb
input:
8 361605653
output:
1236922
result:
ok 1 number(s): "1236922"
Test #7:
score: 0
Accepted
time: 0ms
memory: 4488kb
input:
8 995512643
output:
1236922
result:
ok 1 number(s): "1236922"
Test #8:
score: 0
Accepted
time: 1ms
memory: 4548kb
input:
8 101102801
output:
1236922
result:
ok 1 number(s): "1236922"
Test #9:
score: 0
Accepted
time: 2ms
memory: 4536kb
input:
6 458322727
output:
4894
result:
ok 1 number(s): "4894"
Test #10:
score: 0
Accepted
time: 1ms
memory: 4432kb
input:
7 721691819
output:
73884
result:
ok 1 number(s): "73884"
Test #11:
score: 0
Accepted
time: 1ms
memory: 4432kb
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: 2ms
memory: 4728kb
input:
30 779092367
output:
686412377
result:
ok 1 number(s): "686412377"
Test #13:
score: 0
Accepted
time: 1ms
memory: 4784kb
input:
29 963995171
output:
128570082
result:
ok 1 number(s): "128570082"
Test #14:
score: 0
Accepted
time: 0ms
memory: 4536kb
input:
18 666092701
output:
185922458
result:
ok 1 number(s): "185922458"
Test #15:
score: 0
Accepted
time: 2ms
memory: 4536kb
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: 2ms
memory: 4584kb
input:
300 463478027
output:
89265245
result:
ok 1 number(s): "89265245"
Test #17:
score: 0
Accepted
time: 0ms
memory: 4740kb
input:
296 567610679
output:
406342763
result:
ok 1 number(s): "406342763"
Test #18:
score: 0
Accepted
time: 2ms
memory: 4764kb
input:
297 609090359
output:
128986577
result:
ok 1 number(s): "128986577"
Test #19:
score: 0
Accepted
time: 2ms
memory: 4536kb
input:
48 759569383
output:
635573072
result:
ok 1 number(s): "635573072"
Test #20:
score: 0
Accepted
time: 2ms
memory: 4552kb
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: 82ms
memory: 5180kb
input:
3000 752129633
output:
33058561
result:
ok 1 number(s): "33058561"
Test #22:
score: 0
Accepted
time: 76ms
memory: 4968kb
input:
2993 491173567
output:
343277625
result:
ok 1 number(s): "343277625"
Test #23:
score: 0
Accepted
time: 79ms
memory: 4928kb
input:
2993 783095563
output:
776085006
result:
ok 1 number(s): "776085006"
Test #24:
score: 0
Accepted
time: 2ms
memory: 4480kb
input:
327 399783431
output:
163535283
result:
ok 1 number(s): "163535283"
Test #25:
score: 0
Accepted
time: 15ms
memory: 4724kb
input:
1233 857060207
output:
422139845
result:
ok 1 number(s): "422139845"
Test #26:
score: 0
Accepted
time: 12ms
memory: 4916kb
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: 3625ms
memory: 7528kb
input:
20000 221054167
output:
39809956
result:
ok 1 number(s): "39809956"
Test #28:
score: 0
Accepted
time: 3589ms
memory: 7376kb
input:
19997 823974001
output:
267537750
result:
ok 1 number(s): "267537750"
Test #29:
score: 0
Accepted
time: 3582ms
memory: 7376kb
input:
19991 501689843
output:
16527909
result:
ok 1 number(s): "16527909"
Test #30:
score: 0
Accepted
time: 1820ms
memory: 7408kb
input:
14344 925452091
output:
212324779
result:
ok 1 number(s): "212324779"
Test #31:
score: 0
Accepted
time: 325ms
memory: 7192kb
input:
6098 507350869
output:
310480789
result:
ok 1 number(s): "310480789"
Test #32:
score: 0
Accepted
time: 264ms
memory: 6708kb
input:
5564 406069759
output:
105694337
result:
ok 1 number(s): "105694337"
Extra Test:
score: 0
Extra Test Passed