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ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#259945 | #7774. 基础寄术练习题 | grass8cow | 100 ✓ | 182ms | 12016kb | C++17 | 1.1kb | 2023-11-21 16:44:08 | 2023-11-21 16:44:09 |
Judging History
answer
#include<bits/stdc++.h>
using namespace std;
int n,m,K,mod;
int qpow(int a,int b){
int c=1;for(;b;b>>=1){
if(b&1)c=1ll*a*c%mod;
a=1ll*a*a%mod;
}
return c;
}
int dp[110][110],inv[10010];
int f[110][5110][2],f2[110][5110][2];
int main(){
scanf("%d%d%d%d",&n,&m,&K,&mod);
for(int i=1;i<=10000;i++)inv[i]=qpow(i,mod-2);
if(K==1){
dp[0][0]=1;
for(int i=1;i<=m;i++){
for(int j=0;j<=n;j++){
(dp[i][j]+=dp[i-1][j])%=mod;
if(j)(dp[i][j]+=1ll*dp[i-1][j-1]*inv[i]%mod)%=mod;
}
}
printf("%d",dp[m][n]);return 0;
}
f[0][0][0]=1;
for(int i=1;i<=m;i++){
memset(f2,0,sizeof(f2));
for(int j=0;j<n;j++)for(int k=0;k<=i*(i-1)/2;k++)for(int o=0;o<2;o++)if(f[j][k][o]){
(f2[j][k][o]+=f[j][k][o])%=mod;
(f2[j+1][k+i][o]-=1ll*inv[i]*f[j][k][o]%mod)%=mod;
(f2[j+1][k][o]+=1ll*inv[i]*f[j][k][o]%mod)%=mod;
if(!o)(f2[j][k+i][1]+=1ll*i*f[j][k][o]%mod)%=mod;
}
for(int j=0;j<n;j++)for(int k=0;k<=i*(i+1)/2;k++)for(int o=0;o<2;o++)
f[j][k][o]=f2[j][k][o];
}
int ans=0;
for(int i=0;i<=m*(m+1)/2;i++)if(f[n-1][i][1])
(ans+=1ll*inv[i]*f[n-1][i][1]%mod)%=mod;
return printf("%d",(ans+mod)%mod),0;
}
Details
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Subtask #1:
score: 10
Accepted
Test #1:
score: 10
Accepted
time: 1ms
memory: 3596kb
input:
9 16 1 327134593
output:
162102742
result:
ok single line: '162102742'
Test #2:
score: 0
Accepted
time: 3ms
memory: 3612kb
input:
11 18 1 834359503
output:
256188485
result:
ok single line: '256188485'
Test #3:
score: 0
Accepted
time: 3ms
memory: 3632kb
input:
18 18 1 614802701
output:
552168146
result:
ok single line: '552168146'
Test #4:
score: 0
Accepted
time: 0ms
memory: 8544kb
input:
7 16 2 861918403
output:
306693876
result:
ok single line: '306693876'
Test #5:
score: 0
Accepted
time: 6ms
memory: 10012kb
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: 3676kb
input:
60 98 1 715015339
output:
690737273
result:
ok single line: '690737273'
Test #7:
score: 0
Accepted
time: 3ms
memory: 3712kb
input:
96 97 1 507892589
output:
481151247
result:
ok single line: '481151247'
Test #8:
score: 0
Accepted
time: 3ms
memory: 3892kb
input:
90 95 1 621080027
output:
255353202
result:
ok single line: '255353202'
Test #9:
score: 0
Accepted
time: 3ms
memory: 3896kb
input:
85 94 1 297115421
output:
122254364
result:
ok single line: '122254364'
Test #10:
score: 0
Accepted
time: 0ms
memory: 3600kb
input:
81 91 1 460412027
output:
148037986
result:
ok single line: '148037986'
Subtask #3:
score: 15
Accepted
Test #11:
score: 15
Accepted
time: 9ms
memory: 9508kb
input:
29 29 2 545875273
output:
171843225
result:
ok single line: '171843225'
Test #12:
score: 0
Accepted
time: 10ms
memory: 8240kb
input:
29 29 2 342070607
output:
291380196
result:
ok single line: '291380196'
Test #13:
score: 0
Accepted
time: 3ms
memory: 8416kb
input:
30 30 2 293965439
output:
148471965
result:
ok single line: '148471965'
Test #14:
score: 0
Accepted
time: 10ms
memory: 8400kb
input:
30 30 2 528219961
output:
203632962
result:
ok single line: '203632962'
Test #15:
score: 0
Accepted
time: 2ms
memory: 3620kb
input:
30 30 1 202836509
output:
158493990
result:
ok single line: '158493990'
Subtask #4:
score: 10
Accepted
Test #16:
score: 10
Accepted
time: 6ms
memory: 9276kb
input:
27 30 2 360712453
output:
80987914
result:
ok single line: '80987914'
Test #17:
score: 0
Accepted
time: 6ms
memory: 8988kb
input:
26 29 2 377615957
output:
278812897
result:
ok single line: '278812897'
Test #18:
score: 0
Accepted
time: 5ms
memory: 10516kb
input:
22 30 2 163686233
output:
19517828
result:
ok single line: '19517828'
Test #19:
score: 0
Accepted
time: 9ms
memory: 8704kb
input:
20 29 2 785657729
output:
713061509
result:
ok single line: '713061509'
Test #20:
score: 0
Accepted
time: 0ms
memory: 3620kb
input:
24 29 1 374090597
output:
312615700
result:
ok single line: '312615700'
Subtask #5:
score: 15
Accepted
Test #21:
score: 15
Accepted
time: 13ms
memory: 8884kb
input:
29 38 2 909155077
output:
745973305
result:
ok single line: '745973305'
Test #22:
score: 0
Accepted
time: 15ms
memory: 8500kb
input:
40 40 2 1067474879
output:
995503334
result:
ok single line: '995503334'
Test #23:
score: 0
Accepted
time: 13ms
memory: 8776kb
input:
32 37 2 751116719
output:
699924081
result:
ok single line: '699924081'
Test #24:
score: 0
Accepted
time: 13ms
memory: 9556kb
input:
33 37 2 496100951
output:
21741458
result:
ok single line: '21741458'
Test #25:
score: 0
Accepted
time: 2ms
memory: 3564kb
input:
34 38 1 499914887
output:
386116226
result:
ok single line: '386116226'
Subtask #6:
score: 10
Accepted
Test #26:
score: 10
Accepted
time: 48ms
memory: 9980kb
input:
57 66 2 767174999
output:
315351738
result:
ok single line: '315351738'
Test #27:
score: 0
Accepted
time: 42ms
memory: 9636kb
input:
52 69 2 399947623
output:
237685494
result:
ok single line: '237685494'
Test #28:
score: 0
Accepted
time: 45ms
memory: 10044kb
input:
63 64 2 903693961
output:
520250635
result:
ok single line: '520250635'
Test #29:
score: 0
Accepted
time: 59ms
memory: 10236kb
input:
65 70 2 268454909
output:
255864893
result:
ok single line: '255864893'
Test #30:
score: 0
Accepted
time: 0ms
memory: 3660kb
input:
58 68 1 562105223
output:
175445185
result:
ok single line: '175445185'
Subtask #7:
score: 15
Accepted
Test #31:
score: 15
Accepted
time: 182ms
memory: 12016kb
input:
96 96 2 453296971
output:
222864385
result:
ok single line: '222864385'
Test #32:
score: 0
Accepted
time: 168ms
memory: 11348kb
input:
85 96 2 859572601
output:
457416092
result:
ok single line: '457416092'
Test #33:
score: 0
Accepted
time: 158ms
memory: 11492kb
input:
89 94 2 753918677
output:
366789523
result:
ok single line: '366789523'
Test #34:
score: 0
Accepted
time: 153ms
memory: 11444kb
input:
91 92 2 202806031
output:
64270709
result:
ok single line: '64270709'
Test #35:
score: 0
Accepted
time: 3ms
memory: 5904kb
input:
100 100 1 493945957
output:
109570004
result:
ok single line: '109570004'