QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#287018 | #7976. 最后的晚餐 | zhouhuanyi | 64 | 341ms | 5176kb | C++20 | 2.1kb | 2023-12-19 12:00:34 | 2023-12-19 12:00:35 |
Judging History
answer
#include<iostream>
#include<cstdio>
#define N 12
#define M 24000
#define K 2000
#define mod 998244353
using namespace std;
int read()
{
char c=0;
int sum=0;
while (c<'0'||c>'9') c=getchar();
while ('0'<=c&&c<='9') sum=sum*10+c-'0',c=getchar();
return sum;
}
void Adder(int &x,int d)
{
x+=d;
if (x>=mod) x-=mod;
return;
}
void Adder2(int &x,int d)
{
x+=d;
if (x<0) x+=mod;
return;
}
int n,cnt[N+1],dp[N+1][M+1],DP[N+1][M+1],DSP[K+1][M+1],G[K+1][M+1],F[M+1],ans;
int main()
{
int x,res=0,res2=0,res3=0,res4=0,d;
n=read(),dp[0][0]=DP[0][0]=DSP[0][0]=1;
for (int i=1;i<=n;++i) x=read(),cnt[x]++;
for (int i=1;i<=12;++i)
{
for (int j=0;j<=res;++j)
for (int k=0;k<=cnt[i];++k)
Adder(dp[i][j+i*k],dp[i-1][j]);
res+=i*cnt[i];
}
for (int i=1;i<=10;++i)
{
for (int j=0;j<=res2;++j)
for (int k=0;k<=cnt[i];++k)
Adder(DP[i][j+(10-i)*k],DP[i-1][j]);
res2+=(10-i)*cnt[i];
}
if (cnt[1]&&cnt[12])
{
for (int i=2;i<=10;++i)
{
d=((i&1)?(5+((10-i)>>1)):((10-i)>>1));
for (int j=0;j<=res3+((i&1)?cnt[i]:0);++j)
for (int k=0;k<=res4+d*cnt[i];++k)
G[j][k]=0;
for (int j=0;j<=res3;++j)
for (int k=0;k<=res4;++k)
for (int t=0;t<=cnt[i];++t)
Adder(G[j+((i&1)?t:0)][k+d*t],DSP[j][k]);
res3+=((i&1)?cnt[i]:0),res4+=d*cnt[i];
for (int j=0;j<=res3;++j)
for (int k=0;k<=res4;++k)
DSP[j][k]=G[j][k];
}
}
for (int i=0;i<=res;++i) Adder(ans,1ll*dp[12][i]*(i/10+1)%mod);
for (int i=0;i<=cnt[11];++i)
for (int j=0;j<=cnt[12];++j)
F[i+(j<<1)]++;
for (int i=0;i<=cnt[11]+(cnt[12]<<1);++i)
for (int j=0;j<i;++j)
Adder2(ans,-1ll*F[i]*DP[10][j]%mod*((i-j)/10)%mod);
if (cnt[1]&&cnt[12])
{
for (int i=0;i<=cnt[1];++i)
for (int j=0;j<=min(i-1,cnt[11]);++j)
for (int k=0;k<=cnt[12];++k)
for (int t=0;t<=min(res3,i-j-1);++t)
for (int s=0;s<=res4;++s)
if (k>=(((i+j-t)>>1)<<2)+5+s)
d=(((i+j-t)>>1)<<2)+5+s,Adder2(ans,-1ll*DSP[t][s]*min((k-d)/5+1,(i-j-t+1)>>1)%mod);
}
printf("%d\n",ans);
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Subtask #1:
score: 4
Accepted
Test #1:
score: 4
Accepted
time: 1ms
memory: 3624kb
input:
5 1 1 4 5 1 4
output:
19
result:
ok single line: '19'
Test #2:
score: 0
Accepted
time: 1ms
memory: 3772kb
input:
20 6 1 8 6 10 8 4 3 9 3 6 8 5 11 6 8 3 12 1 12
output:
203040
result:
ok single line: '203040'
Test #3:
score: 0
Accepted
time: 0ms
memory: 3956kb
input:
20 7 6 3 5 12 2 1 10 3 8 5 8 1 9 11 7 4 6 2 4
output:
656102
result:
ok single line: '656102'
Test #4:
score: 0
Accepted
time: 1ms
memory: 3908kb
input:
20 1 11 11 7 11 11 5 3 4 8 10 5 12 7 12 1 11 11 1 12
output:
133044
result:
ok single line: '133044'
Subtask #2:
score: 12
Accepted
Test #5:
score: 12
Accepted
time: 1ms
memory: 3828kb
input:
25 7 12 12 4 7 2 2 4 5 3 10 1 2 10 12 7 4 9 8 12 3 5 4 7 5
output:
1209600
result:
ok single line: '1209600'
Test #6:
score: 0
Accepted
time: 1ms
memory: 3700kb
input:
30 2 8 12 3 4 5 9 1 11 1 12 6 3 4 5 8 10 1 9 10 5 10 10 9 2 12 5 4 1 12
output:
11070000
result:
ok single line: '11070000'
Test #7:
score: 0
Accepted
time: 0ms
memory: 3832kb
input:
30 9 2 11 8 3 7 4 11 12 7 3 2 1 4 9 4 5 1 5 12 2 6 6 3 8 5 6 10 10 1
output:
28068252
result:
ok single line: '28068252'
Test #8:
score: 0
Accepted
time: 1ms
memory: 3724kb
input:
30 10 5 1 1 8 12 5 10 1 1 5 10 1 11 11 5 11 12 12 8 1 1 10 12 4 1 11 4 12 9
output:
1312095
result:
ok single line: '1312095'
Test #9:
score: 0
Accepted
time: 1ms
memory: 3628kb
input:
27 9 6 5 5 10 1 10 9 7 10 3 6 1 11 11 9 9 4 9 1 9 1 4 9 4 9 6
output:
979772
result:
ok single line: '979772'
Test #10:
score: 0
Accepted
time: 0ms
memory: 3696kb
input:
40 8 9 2 4 8 2 9 8 4 10 1 9 4 4 9 6 7 11 7 2 1 7 10 6 2 10 5 11 3 4 5 10 1 6 6 4 9 7 3 7
output:
171460800
result:
ok single line: '171460800'
Test #11:
score: 0
Accepted
time: 1ms
memory: 3860kb
input:
40 1 5 2 2 12 12 6 4 8 8 9 11 3 4 3 8 4 3 6 3 10 5 12 1 1 5 1 9 10 7 7 2 2 10 7 11 6 11 9 4
output:
522240000
result:
ok single line: '522240000'
Test #12:
score: 0
Accepted
time: 1ms
memory: 3756kb
input:
40 1 12 1 11 1 5 1 1 1 12 12 1 9 4 1 11 6 12 5 9 11 4 1 12 1 12 12 4 9 9 11 11 12 11 11 7 9 11 11 10
output:
8721848
result:
ok single line: '8721848'
Subtask #3:
score: 16
Accepted
Test #13:
score: 16
Accepted
time: 1ms
memory: 3924kb
input:
162 7 9 1 8 5 10 11 4 5 11 4 5 5 5 1 6 9 9 5 5 7 11 8 5 11 2 4 8 5 2 5 2 7 5 10 6 6 4 8 2 5 11 2 11 11 11 7 6 3 2 10 7 4 4 1 9 4 10 11 4 4 4 5 11 4 10 11 2 11 9 9 9 2 3 3 9 6 1 11 2 10 6 2 4 9 1 6 7 11 2 8 3 4 10 7 8 1 7 1 4 10 6 6 6 2 6 2 2 11 9 1 11 3 5 1 8 10 1 1 7 2 8 2 11 3 2 9 4 9 5 11 11 4 8 ...
output:
7029577
result:
ok single line: '7029577'
Test #14:
score: 0
Accepted
time: 12ms
memory: 4204kb
input:
2000 5 7 5 9 2 3 1 11 10 2 9 2 8 8 4 7 10 4 10 6 7 6 8 7 3 4 3 10 6 1 7 11 3 7 8 5 8 9 10 5 3 1 3 10 6 3 2 5 4 10 2 8 11 3 6 7 1 11 4 5 9 6 2 2 5 5 6 8 9 8 7 8 7 2 2 2 9 10 4 10 1 4 7 5 2 3 7 6 1 8 7 11 11 7 11 10 4 1 5 3 11 11 4 8 1 6 5 7 5 5 10 7 11 10 5 2 9 1 6 5 3 9 1 11 4 4 5 7 1 11 6 4 3 9 4 1...
output:
371307514
result:
ok single line: '371307514'
Test #15:
score: 0
Accepted
time: 9ms
memory: 4036kb
input:
2000 11 11 9 11 9 1 1 11 5 6 11 11 11 4 2 3 8 1 9 8 9 4 11 7 4 11 3 11 11 11 11 11 4 11 11 9 11 9 10 7 2 6 11 5 5 4 11 4 7 9 7 11 11 7 1 3 5 10 11 11 11 2 1 1 11 11 2 2 6 11 2 7 11 11 6 9 11 5 10 2 11 5 2 11 7 11 11 6 11 7 11 5 9 11 1 11 9 4 7 11 5 11 11 1 2 8 11 3 3 11 1 11 11 9 5 11 3 7 11 11 11 6...
output:
513895468
result:
ok single line: '513895468'
Test #16:
score: 0
Accepted
time: 7ms
memory: 3920kb
input:
2000 4 11 10 11 1 11 11 11 11 11 11 5 11 5 11 11 11 11 10 5 11 3 11 11 5 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 4 11 7 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 1 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 9 11 11 11 11 11 11 11 11 11 1 11 6 11 11 11 11 11 11 3 11 ...
output:
359825045
result:
ok single line: '359825045'
Subtask #4:
score: 12
Accepted
Test #17:
score: 12
Accepted
time: 1ms
memory: 3732kb
input:
306 4 6 11 3 8 8 4 2 8 10 6 8 12 8 8 9 10 9 5 10 11 7 10 11 8 2 10 5 4 2 8 5 3 8 12 11 11 2 11 7 10 9 7 6 4 11 11 2 11 6 12 8 6 6 12 7 11 10 3 5 2 3 7 8 2 10 9 5 11 7 7 8 3 4 9 9 2 7 2 12 8 2 7 10 8 7 6 12 7 3 3 3 2 6 2 4 10 11 8 8 7 3 6 11 9 4 9 3 12 10 12 6 8 11 6 2 8 10 10 6 5 11 11 7 5 5 10 12 5...
output:
537422792
result:
ok single line: '537422792'
Test #18:
score: 0
Accepted
time: 12ms
memory: 4048kb
input:
2000 2 9 12 6 11 4 9 7 12 5 4 4 10 9 3 12 8 2 4 8 4 11 10 8 11 11 5 9 8 9 6 12 9 12 9 7 3 2 8 8 2 3 8 9 3 3 6 9 6 4 8 11 4 9 9 9 10 5 12 8 9 4 10 10 9 9 6 4 8 11 11 3 9 3 7 3 10 8 11 12 8 4 9 8 11 7 12 5 9 10 5 4 11 5 11 3 11 12 7 11 9 4 3 2 2 4 3 6 3 10 11 3 5 6 7 9 6 10 7 6 3 12 12 8 3 8 5 7 12 10...
output:
839026549
result:
ok single line: '839026549'
Test #19:
score: 0
Accepted
time: 17ms
memory: 3844kb
input:
2000 12 11 12 12 12 12 11 11 4 11 12 5 11 11 12 11 11 12 6 12 11 11 12 12 11 12 12 12 11 11 7 5 11 11 11 10 5 12 12 12 11 11 12 12 11 11 11 11 12 11 12 11 12 12 6 12 12 11 11 12 12 11 11 12 11 12 11 12 12 11 11 12 12 12 12 12 7 11 11 12 11 12 4 11 12 12 11 11 12 11 11 11 11 11 12 11 11 11 11 11 12 1...
output:
58568833
result:
ok single line: '58568833'
Test #20:
score: 0
Accepted
time: 13ms
memory: 3984kb
input:
2000 12 11 11 11 11 6 12 6 2 5 12 11 11 7 11 11 11 11 4 12 11 12 11 8 12 6 3 2 11 12 12 12 9 8 12 12 12 7 9 12 6 9 11 11 12 2 11 11 4 12 2 11 11 12 11 11 2 11 12 12 11 11 12 2 7 12 5 6 5 11 2 11 4 7 11 11 11 12 11 11 12 6 9 12 5 11 12 4 12 7 11 12 8 4 12 4 12 9 12 11 12 7 11 7 3 12 7 12 7 12 11 11 1...
output:
815809248
result:
ok single line: '815809248'
Test #21:
score: 0
Accepted
time: 21ms
memory: 3876kb
input:
2000 12 11 12 12 12 12 11 12 12 12 12 12 11 5 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 12 12 5 5 12 12 12 11 12 11 12 12 12 12 12 12 12 12 12 12 11 12 11 12 12 12 12 12 12 12 11 8 12 12 12 12 12 10 12 11 12 12 11 12 12 11 11 12 11 12 12 12 3 7 11 12 12 12 12 12 12 11 12 12 11 12 12 1...
output:
444619177
result:
ok single line: '444619177'
Subtask #5:
score: 12
Accepted
Test #22:
score: 12
Accepted
time: 1ms
memory: 3948kb
input:
68 2 11 8 12 7 11 11 7 6 5 10 3 5 12 4 5 1 6 5 11 6 9 1 1 11 5 12 3 12 9 11 1 1 12 9 4 11 4 6 10 4 1 10 6 2 7 3 2 11 5 4 5 2 6 4 11 3 2 10 8 1 9 4 8 2 3 9 9
output:
970946217
result:
ok single line: '970946217'
Test #23:
score: 0
Accepted
time: 1ms
memory: 4112kb
input:
100 2 5 1 6 10 1 12 7 9 11 4 8 1 6 10 10 4 4 4 6 4 8 5 10 5 1 8 10 6 11 7 9 5 12 5 9 2 10 9 12 10 1 6 9 5 7 1 11 2 8 4 11 12 9 3 6 12 1 2 4 7 12 3 7 11 3 1 2 7 7 4 2 6 2 5 6 8 11 10 2 10 7 5 3 3 9 2 12 9 7 9 9 12 7 8 7 11 6 8 2
output:
242285391
result:
ok single line: '242285391'
Test #24:
score: 0
Accepted
time: 1ms
memory: 3984kb
input:
100 1 2 11 11 11 12 2 5 5 7 2 7 1 10 5 1 8 6 2 1 8 1 3 10 9 6 4 4 2 4 3 3 1 5 10 3 7 5 12 3 12 11 5 8 10 4 4 10 1 11 6 7 2 8 7 8 4 3 4 6 10 10 8 1 9 6 3 12 7 12 1 3 9 5 6 8 5 7 2 9 2 2 10 6 12 3 4 9 9 9 12 12 7 11 8 11 9 11 6 4
output:
981520513
result:
ok single line: '981520513'
Test #25:
score: 0
Accepted
time: 3ms
memory: 3896kb
input:
100 1 11 3 11 2 12 7 5 4 6 12 9 12 7 1 1 12 5 12 1 9 1 12 1 12 7 12 12 6 8 8 11 1 2 10 1 12 9 1 12 1 11 3 1 1 11 12 6 11 8 11 12 11 9 10 2 1 1 2 1 11 1 9 12 3 1 12 1 11 9 11 6 2 1 11 12 11 5 11 1 11 10 7 4 8 12 12 12 11 2 6 1 12 12 1 11 1 11 4 11
output:
553152067
result:
ok single line: '553152067'
Test #26:
score: 0
Accepted
time: 1ms
memory: 3712kb
input:
100 12 12 12 11 12 12 1 12 8 9 12 1 11 12 12 11 12 9 11 11 11 11 6 12 11 12 1 11 11 12 1 11 11 12 12 11 11 12 11 12 12 12 11 1 1 12 11 1 12 12 12 11 12 6 1 10 12 11 12 11 12 12 11 11 11 11 10 12 12 11 11 11 1 11 12 1 11 12 11 11 11 11 1 1 11 10 11 11 12 12 11 11 12 11 1 11 1 12 12 12
output:
83201920
result:
ok single line: '83201920'
Subtask #6:
score: 8
Accepted
Test #27:
score: 8
Accepted
time: 1ms
memory: 4124kb
input:
103 3 4 3 6 5 12 4 4 5 5 11 2 5 3 11 10 4 2 8 6 2 8 4 5 1 1 4 8 11 11 7 1 3 11 3 1 1 7 4 4 3 3 9 7 9 7 1 3 12 1 2 12 3 1 9 11 5 12 5 11 6 7 7 12 7 8 7 4 10 10 8 4 4 8 6 10 7 3 7 8 7 1 12 1 12 1 8 4 9 10 6 12 8 12 5 10 3 10 4 6 11 10 7
output:
160323719
result:
ok single line: '160323719'
Test #28:
score: 0
Accepted
time: 23ms
memory: 5176kb
input:
300 7 10 7 12 7 1 6 9 10 5 10 3 10 5 6 8 2 4 7 1 10 8 3 2 11 11 12 2 5 4 10 2 12 10 3 2 5 11 4 6 6 3 4 3 2 7 12 9 3 5 3 5 3 11 12 4 4 9 3 7 10 6 5 4 7 6 6 9 4 6 7 10 7 9 11 2 12 2 9 5 6 1 12 9 2 10 10 8 1 7 8 6 9 12 5 7 9 8 6 7 7 11 8 3 6 5 1 10 10 1 6 3 3 12 11 1 6 11 9 9 10 2 6 3 8 10 11 10 2 11 1...
output:
349661228
result:
ok single line: '349661228'
Test #29:
score: 0
Accepted
time: 0ms
memory: 3828kb
input:
300 11 12 11 12 11 12 11 12 12 12 11 12 11 12 11 12 8 12 12 12 12 11 12 12 4 11 12 2 11 12 11 11 12 12 12 12 11 11 11 4 12 11 12 12 12 12 11 11 11 11 5 11 12 12 12 11 12 12 11 11 12 12 3 11 12 12 12 12 12 12 12 5 12 12 12 12 12 11 11 12 12 11 4 11 12 11 12 11 11 6 12 11 11 12 11 12 11 12 12 11 8 12 ...
output:
103860914
result:
ok single line: '103860914'
Test #30:
score: 0
Accepted
time: 341ms
memory: 4376kb
input:
300 11 2 11 11 12 4 3 2 12 1 4 3 11 12 12 10 1 12 12 11 11 12 4 8 1 7 11 12 1 11 12 9 12 1 4 4 11 10 12 12 11 4 12 11 1 8 2 1 12 2 3 11 6 12 12 11 4 12 5 1 6 1 11 1 11 11 12 1 3 12 12 1 12 3 11 11 1 12 9 12 12 12 12 1 11 1 1 11 10 11 5 12 12 2 11 12 12 1 1 11 11 1 3 11 11 12 12 3 11 12 12 3 3 12 2 1...
output:
404838112
result:
ok single line: '404838112'
Test #31:
score: 0
Accepted
time: 85ms
memory: 3856kb
input:
300 12 1 12 11 12 1 1 11 11 12 11 11 11 11 11 12 1 1 12 11 1 11 12 11 1 12 12 8 12 11 11 11 11 11 12 2 12 12 12 7 11 11 11 11 12 12 12 12 11 12 12 12 12 12 11 11 11 12 11 12 9 12 12 11 1 1 1 12 11 11 12 2 11 11 11 11 12 1 1 12 11 1 11 12 11 12 1 11 12 11 12 11 12 1 1 12 12 12 12 11 12 11 1 1 11 8 12...
output:
325727434
result:
ok single line: '325727434'
Test #32:
score: 0
Accepted
time: 5ms
memory: 4104kb
input:
300 1 1 1 11 1 1 11 1 11 11 11 11 11 11 2 1 4 11 11 11 1 11 11 11 1 11 11 1 11 11 11 11 1 11 11 11 12 1 11 11 11 11 1 1 11 1 1 1 11 11 1 1 2 11 11 1 11 11 1 1 11 1 1 1 7 1 1 11 1 1 1 11 1 11 1 11 3 1 1 1 1 2 1 1 11 11 11 11 1 11 1 11 1 11 11 11 11 11 1 11 11 11 11 1 11 1 11 11 1 5 1 11 11 1 11 1 1 1...
output:
105323732
result:
ok single line: '105323732'
Test #33:
score: 0
Accepted
time: 285ms
memory: 4160kb
input:
300 12 1 5 11 1 7 1 1 1 12 11 1 11 1 12 1 11 11 12 1 1 12 1 12 11 12 1 1 1 1 6 12 12 5 1 11 12 11 1 10 12 1 12 1 12 8 1 1 1 1 1 12 12 12 12 11 1 11 12 2 1 1 1 11 11 11 11 1 1 10 1 11 1 11 1 1 1 1 11 11 11 1 11 12 7 12 9 11 11 1 1 11 11 11 1 1 1 1 4 1 11 1 11 11 10 12 3 1 10 1 11 12 1 11 12 11 4 12 1...
output:
277518558
result:
ok single line: '277518558'
Subtask #7:
score: 0
Time Limit Exceeded
Test #34:
score: 12
Accepted
time: 0ms
memory: 4480kb
input:
126 12 12 10 9 1 4 7 10 8 6 9 7 3 4 6 4 1 6 2 9 5 5 1 7 3 8 1 10 3 10 7 3 2 6 2 12 6 11 1 7 12 4 7 1 2 10 1 5 11 10 4 4 7 5 5 6 9 8 5 11 6 12 10 10 10 6 8 11 7 3 1 1 10 8 6 4 9 3 3 7 1 8 12 6 12 12 6 10 10 7 9 1 1 3 1 2 1 5 8 4 9 2 7 6 7 2 7 11 7 3 3 6 11 7 4 2 3 10 5 3 7 10 11 9 11 2
output:
81214287
result:
ok single line: '81214287'
Test #35:
score: -12
Time Limit Exceeded
input:
600 1 2 9 8 9 11 9 7 3 12 7 12 6 8 12 4 5 12 6 12 1 12 4 6 11 4 3 4 10 6 6 5 11 1 7 5 1 6 1 3 5 6 10 5 11 12 9 10 7 10 12 5 8 7 2 8 9 5 6 9 6 9 7 9 7 8 4 1 9 5 7 7 6 2 3 7 8 1 5 4 2 9 12 5 6 10 12 3 11 1 8 12 2 6 2 5 5 8 12 5 2 2 11 3 12 5 1 1 1 10 1 6 4 1 5 10 1 6 5 11 11 11 12 8 6 3 4 7 4 1 8 4 9 ...
output:
result:
Subtask #8:
score: 0
Time Limit Exceeded
Test #42:
score: 24
Accepted
time: 1ms
memory: 4060kb
input:
118 2 2 6 11 2 1 12 12 5 12 6 1 4 2 2 2 10 11 4 5 8 5 6 1 1 8 10 6 6 4 4 8 6 5 4 2 6 2 7 7 6 3 1 10 4 12 10 4 12 9 11 3 4 9 2 1 5 3 12 4 2 2 6 2 4 11 3 9 11 9 1 6 12 1 4 8 9 11 8 9 7 10 11 6 7 11 8 4 5 3 7 8 1 9 4 8 12 10 6 12 4 2 8 6 2 9 11 9 6 4 8 1 7 11 3 6 7 2
output:
348282473
result:
ok single line: '348282473'
Test #43:
score: -24
Time Limit Exceeded
input:
2000 2 8 8 9 1 6 2 3 6 6 5 7 7 1 4 8 6 9 1 3 5 6 5 3 6 9 12 3 8 6 1 3 4 9 9 1 11 10 2 2 6 2 3 5 7 2 11 8 2 2 1 9 4 7 8 7 8 7 7 7 4 10 4 10 11 3 6 5 3 7 4 2 5 10 5 12 12 10 1 12 8 1 9 9 6 1 8 10 8 11 11 2 12 4 11 5 1 1 12 11 11 5 11 9 3 6 9 12 4 7 4 5 8 4 6 11 3 11 2 2 6 12 11 12 10 4 2 3 6 3 11 12 4...