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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#288201 | #6333. Festivals in JOI Kingdom 2 | DaiRuiChen007 | 100 ✓ | 3976ms | 5672kb | C++14 | 1.7kb | 2023-12-22 10:15:21 | 2023-12-22 10:15:21 |
Judging History
answer
#include<bits/stdc++.h>
#define ll long long
using namespace std;
const int MAXN=40005;
int n,MOD,dp[2][MAXN][3],f[MAXN][3],g[MAXN][3];
ll fac[MAXN],ifac[MAXN];
/*
* dp[i,j,k]: 1~i, now j free bracket for OPT,
* k=0: |FAKE|=|OPT|, FAKE no free bracket
* k=1: |FAKE|=|OPT|, FAKE have free bracket
* K=2: |FAKE|=|OPT|-1, FAKE have free bracket
* f[j,k]: have j useless free bracket
* g[i,k]: dp[i,0,k] += g[i,k] (deal with useless bracket in f[])
*/
void add(int &x,int y) { x=(x+y>=MOD)?x+y-MOD:x+y; }
void addl(int &x,ll y) { x=(x+y)%MOD; }
ll ksm(ll a,int b=MOD-2,int p=MOD) {
ll ret=1;
for(;b;a=a*a%p,b=b>>1) if(b&1) ret=ret*a%p;
return ret;
}
ll C(int x,int y) { return fac[x]*ifac[x-y]%MOD; } //x place y
signed main() {
scanf("%d%d",&n,&MOD),n<<=1;
for(int i=fac[0]=ifac[0]=1;i<=n;++i) ifac[i]=ksm(fac[i]=i*fac[i-1]%MOD);
dp[0][0][0]=1;
for(int i=0;i<n;++i) {
int cur=i&1,J=min(i,n-i);
auto &F=dp[cur^1],&G=dp[cur];
for(int j=0;j<=J;++j) { //left bracket
if(G[j][0]) add(F[j+1][1],G[j][0]);
if(G[j][1]) add(F[j+1][1],G[j][1]);
if(G[j][2]) add(F[j+1][2],G[j][2]);
}
for(int j=0;j<=J;++j) { //right bracket
if(G[j][1]) {
if(j>0) add(f[j-1][0],G[j][1]);
//match with FAKE's bracket
if(j>1) addl(f[j-2][2],1ll*(j-1)*G[j][1]);
//match other bracket
}
if(G[j][2]) add(F[j][0],G[j][2]); //match FAKE's bracket
}
for(int j=0;j<=J;++j) {
if(f[j][0]) addl(g[i+1+j][0],C(n-i-1,j)*f[j][0]);
if(f[j][2]) addl(g[i+1+j][2],C(n-i-1,j)*f[j][2]);
}
add(F[0][0],g[i+1][0]),add(F[0][2],g[i+1][2]);
for(int j=0;j<=J;++j) G[j][0]=G[j][1]=G[j][2]=f[j][0]=f[j][2]=0;
}
ll tot=1;
for(int i=1;i<=n;i+=2) tot=tot*i%MOD;
printf("%lld\n",(tot+MOD-dp[0][0][0])%MOD);
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Subtask #1:
score: 5
Accepted
Test #1:
score: 5
Accepted
time: 1ms
memory: 3844kb
input:
1 194903119
output:
0
result:
ok 1 number(s): "0"
Test #2:
score: 0
Accepted
time: 1ms
memory: 3892kb
input:
2 933234047
output:
0
result:
ok 1 number(s): "0"
Test #3:
score: 0
Accepted
time: 0ms
memory: 3636kb
input:
3 277793111
output:
2
result:
ok 1 number(s): "2"
Test #4:
score: 0
Accepted
time: 1ms
memory: 3656kb
input:
4 355321177
output:
28
result:
ok 1 number(s): "28"
Test #5:
score: 0
Accepted
time: 0ms
memory: 3656kb
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: 3740kb
input:
8 361605653
output:
1236922
result:
ok 1 number(s): "1236922"
Test #7:
score: 0
Accepted
time: 1ms
memory: 3656kb
input:
8 995512643
output:
1236922
result:
ok 1 number(s): "1236922"
Test #8:
score: 0
Accepted
time: 0ms
memory: 3592kb
input:
8 101102801
output:
1236922
result:
ok 1 number(s): "1236922"
Test #9:
score: 0
Accepted
time: 0ms
memory: 3708kb
input:
6 458322727
output:
4894
result:
ok 1 number(s): "4894"
Test #10:
score: 0
Accepted
time: 0ms
memory: 3644kb
input:
7 721691819
output:
73884
result:
ok 1 number(s): "73884"
Test #11:
score: 0
Accepted
time: 0ms
memory: 3596kb
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: 3648kb
input:
30 779092367
output:
686412377
result:
ok 1 number(s): "686412377"
Test #13:
score: 0
Accepted
time: 0ms
memory: 3720kb
input:
29 963995171
output:
128570082
result:
ok 1 number(s): "128570082"
Test #14:
score: 0
Accepted
time: 0ms
memory: 3656kb
input:
18 666092701
output:
185922458
result:
ok 1 number(s): "185922458"
Test #15:
score: 0
Accepted
time: 1ms
memory: 3660kb
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: 0ms
memory: 3680kb
input:
300 463478027
output:
89265245
result:
ok 1 number(s): "89265245"
Test #17:
score: 0
Accepted
time: 2ms
memory: 3672kb
input:
296 567610679
output:
406342763
result:
ok 1 number(s): "406342763"
Test #18:
score: 0
Accepted
time: 0ms
memory: 3740kb
input:
297 609090359
output:
128986577
result:
ok 1 number(s): "128986577"
Test #19:
score: 0
Accepted
time: 0ms
memory: 3660kb
input:
48 759569383
output:
635573072
result:
ok 1 number(s): "635573072"
Test #20:
score: 0
Accepted
time: 0ms
memory: 3660kb
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: 90ms
memory: 3856kb
input:
3000 752129633
output:
33058561
result:
ok 1 number(s): "33058561"
Test #22:
score: 0
Accepted
time: 90ms
memory: 3916kb
input:
2993 491173567
output:
343277625
result:
ok 1 number(s): "343277625"
Test #23:
score: 0
Accepted
time: 91ms
memory: 4148kb
input:
2993 783095563
output:
776085006
result:
ok 1 number(s): "776085006"
Test #24:
score: 0
Accepted
time: 2ms
memory: 3908kb
input:
327 399783431
output:
163535283
result:
ok 1 number(s): "163535283"
Test #25:
score: 0
Accepted
time: 16ms
memory: 3756kb
input:
1233 857060207
output:
422139845
result:
ok 1 number(s): "422139845"
Test #26:
score: 0
Accepted
time: 10ms
memory: 3700kb
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: 3970ms
memory: 5524kb
input:
20000 221054167
output:
39809956
result:
ok 1 number(s): "39809956"
Test #28:
score: 0
Accepted
time: 3976ms
memory: 5432kb
input:
19997 823974001
output:
267537750
result:
ok 1 number(s): "267537750"
Test #29:
score: 0
Accepted
time: 3969ms
memory: 5672kb
input:
19991 501689843
output:
16527909
result:
ok 1 number(s): "16527909"
Test #30:
score: 0
Accepted
time: 2053ms
memory: 5136kb
input:
14344 925452091
output:
212324779
result:
ok 1 number(s): "212324779"
Test #31:
score: 0
Accepted
time: 368ms
memory: 4196kb
input:
6098 507350869
output:
310480789
result:
ok 1 number(s): "310480789"
Test #32:
score: 0
Accepted
time: 309ms
memory: 4300kb
input:
5564 406069759
output:
105694337
result:
ok 1 number(s): "105694337"
Extra Test:
score: 0
Extra Test Passed