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ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#360834 | #7774. 基础寄术练习题 | NATURAL6 | 100 ✓ | 152ms | 13292kb | C++14 | 1.4kb | 2024-03-22 11:16:34 | 2024-03-22 11:16:36 |
Judging History
answer
#include<bits/stdc++.h>
using namespace std;
inline int qread()
{
int a=0,f=1;char ch=getchar();
while(!isdigit(ch)){if(ch=='-')f=-1;ch=getchar();}
while(isdigit(ch)){(a*=10)+=(ch^48);ch=getchar();}
return a*f;
}
int n,m,k,mod,inv[10010];
inline void fmod(int &x)
{
if(x>=mod)x-=mod;
return ;
}
namespace SOLVE1
{
int f[110];
void main()
{
f[0]=1;
for(int i=1;i<=m;++i)for(int j=n;j;--j)f[j]=(1ll*f[j]+1ll*f[j-1]*inv[i])%mod;
printf("%d\n",f[n]);
return ;
}
}
namespace SOLVE2
{
int ans,sum,f[2][110][10010][2];
void main()
{
f[1][0][0][0]=1;
for(int i=1,np,tp;i<=m;sum+=i,++i)
{
np=i&1,tp=np^1;
for(int j=i-1;~j;--j)
{
for(int k=sum;~k;--k)
{
for(int op=0;op<=1;++op)
{
fmod(f[tp][j][k][op]+=f[np][j][k][op]);
f[tp][j+1][k][op]=(1ll*f[tp][j+1][k][op]+1ll*f[np][j][k][op]*inv[i])%mod;
f[tp][j+1][k+i][op]=(1ll*f[tp][j+1][k+i][op]+1ll*f[np][j][k][op]*(mod-inv[i]))%mod;
if(!op)f[tp][j+1][k+i][1]=(1ll*f[tp][j+1][k+i][1]+1ll*f[np][j][k][op]*i)%mod;
f[np][j][k][op]=0;
}
}
}
}
for(int i=1;i<=sum;++i)ans=(1ll*ans+1ll*f[(m&1)^1][n][i][1]*inv[i])%mod;
printf("%d\n",ans);
return ;
}
}
int main()
{
n=qread(),m=qread(),k=qread(),mod=qread();
inv[0]=inv[1]=1;
for(int i=2;i<=n*m;++i)inv[i]=1ll*inv[mod%i]*(mod-mod/i)%mod;
if(k==1)
{
SOLVE1::main();
return 0;
}
SOLVE2::main();
return 0;
}
Details
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Subtask #1:
score: 10
Accepted
Test #1:
score: 10
Accepted
time: 0ms
memory: 3788kb
input:
9 16 1 327134593
output:
162102742
result:
ok single line: '162102742'
Test #2:
score: 0
Accepted
time: 0ms
memory: 3792kb
input:
11 18 1 834359503
output:
256188485
result:
ok single line: '256188485'
Test #3:
score: 0
Accepted
time: 0ms
memory: 3860kb
input:
18 18 1 614802701
output:
552168146
result:
ok single line: '552168146'
Test #4:
score: 0
Accepted
time: 0ms
memory: 5992kb
input:
7 16 2 861918403
output:
306693876
result:
ok single line: '306693876'
Test #5:
score: 0
Accepted
time: 1ms
memory: 6036kb
input:
11 17 2 617904383
output:
393900291
result:
ok single line: '393900291'
Subtask #2:
score: 25
Accepted
Test #6:
score: 25
Accepted
time: 0ms
memory: 3876kb
input:
60 98 1 715015339
output:
690737273
result:
ok single line: '690737273'
Test #7:
score: 0
Accepted
time: 0ms
memory: 3900kb
input:
96 97 1 507892589
output:
481151247
result:
ok single line: '481151247'
Test #8:
score: 0
Accepted
time: 0ms
memory: 3884kb
input:
90 95 1 621080027
output:
255353202
result:
ok single line: '255353202'
Test #9:
score: 0
Accepted
time: 0ms
memory: 3884kb
input:
85 94 1 297115421
output:
122254364
result:
ok single line: '122254364'
Test #10:
score: 0
Accepted
time: 0ms
memory: 3868kb
input:
81 91 1 460412027
output:
148037986
result:
ok single line: '148037986'
Subtask #3:
score: 15
Accepted
Test #11:
score: 15
Accepted
time: 2ms
memory: 6148kb
input:
29 29 2 545875273
output:
171843225
result:
ok single line: '171843225'
Test #12:
score: 0
Accepted
time: 0ms
memory: 6256kb
input:
29 29 2 342070607
output:
291380196
result:
ok single line: '291380196'
Test #13:
score: 0
Accepted
time: 2ms
memory: 6268kb
input:
30 30 2 293965439
output:
148471965
result:
ok single line: '148471965'
Test #14:
score: 0
Accepted
time: 2ms
memory: 6260kb
input:
30 30 2 528219961
output:
203632962
result:
ok single line: '203632962'
Test #15:
score: 0
Accepted
time: 0ms
memory: 3984kb
input:
30 30 1 202836509
output:
158493990
result:
ok single line: '158493990'
Subtask #4:
score: 10
Accepted
Test #16:
score: 10
Accepted
time: 2ms
memory: 6104kb
input:
27 30 2 360712453
output:
80987914
result:
ok single line: '80987914'
Test #17:
score: 0
Accepted
time: 0ms
memory: 6260kb
input:
26 29 2 377615957
output:
278812897
result:
ok single line: '278812897'
Test #18:
score: 0
Accepted
time: 2ms
memory: 6228kb
input:
22 30 2 163686233
output:
19517828
result:
ok single line: '19517828'
Test #19:
score: 0
Accepted
time: 2ms
memory: 6164kb
input:
20 29 2 785657729
output:
713061509
result:
ok single line: '713061509'
Test #20:
score: 0
Accepted
time: 0ms
memory: 3860kb
input:
24 29 1 374090597
output:
312615700
result:
ok single line: '312615700'
Subtask #5:
score: 15
Accepted
Test #21:
score: 15
Accepted
time: 5ms
memory: 6464kb
input:
29 38 2 909155077
output:
745973305
result:
ok single line: '745973305'
Test #22:
score: 0
Accepted
time: 3ms
memory: 6476kb
input:
40 40 2 1067474879
output:
995503334
result:
ok single line: '995503334'
Test #23:
score: 0
Accepted
time: 4ms
memory: 6512kb
input:
32 37 2 751116719
output:
699924081
result:
ok single line: '699924081'
Test #24:
score: 0
Accepted
time: 4ms
memory: 6348kb
input:
33 37 2 496100951
output:
21741458
result:
ok single line: '21741458'
Test #25:
score: 0
Accepted
time: 0ms
memory: 3876kb
input:
34 38 1 499914887
output:
386116226
result:
ok single line: '386116226'
Subtask #6:
score: 10
Accepted
Test #26:
score: 10
Accepted
time: 34ms
memory: 10608kb
input:
57 66 2 767174999
output:
315351738
result:
ok single line: '315351738'
Test #27:
score: 0
Accepted
time: 36ms
memory: 8896kb
input:
52 69 2 399947623
output:
237685494
result:
ok single line: '237685494'
Test #28:
score: 0
Accepted
time: 33ms
memory: 8192kb
input:
63 64 2 903693961
output:
520250635
result:
ok single line: '520250635'
Test #29:
score: 0
Accepted
time: 46ms
memory: 8696kb
input:
65 70 2 268454909
output:
255864893
result:
ok single line: '255864893'
Test #30:
score: 0
Accepted
time: 0ms
memory: 3996kb
input:
58 68 1 562105223
output:
175445185
result:
ok single line: '175445185'
Subtask #7:
score: 15
Accepted
Test #31:
score: 15
Accepted
time: 152ms
memory: 13104kb
input:
96 96 2 453296971
output:
222864385
result:
ok single line: '222864385'
Test #32:
score: 0
Accepted
time: 151ms
memory: 13292kb
input:
85 96 2 859572601
output:
457416092
result:
ok single line: '457416092'
Test #33:
score: 0
Accepted
time: 142ms
memory: 12216kb
input:
89 94 2 753918677
output:
366789523
result:
ok single line: '366789523'
Test #34:
score: 0
Accepted
time: 127ms
memory: 11976kb
input:
91 92 2 202806031
output:
64270709
result:
ok single line: '64270709'
Test #35:
score: 0
Accepted
time: 0ms
memory: 3928kb
input:
100 100 1 493945957
output:
109570004
result:
ok single line: '109570004'