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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#279127 | #7774. 基础寄术练习题 | lzytag | 100 ✓ | 286ms | 39996kb | C++14 | 1.8kb | 2023-12-08 11:36:45 | 2023-12-08 11:36:46 |
Judging History
answer
#include<bits/stdc++.h>
using namespace std;
typedef long long ll;
const int N = 105;
int n,m,k,mod,lst,now;
ll f[2][N],inv[N*N];
ll g[2][N][N*N][2];
void solve1()
{
lst = 1;
f[now][0] = 1;
for(int i = 1;i <= m;i++)
{
swap(now,lst);
memset(f[now],0,sizeof(f[now]));
for(int j = 0;j <= n;j++)
{
if(!f[lst][j]) continue;
f[now][j] = (f[now][j] + f[lst][j])%mod;
if(j < n) f[now][j+1] = (f[now][j+1] + f[lst][j]*inv[i])%mod;
}
}
cout<<f[now][n]<<"\n";
}
void solve2()
{
lst = 1;
g[now][0][0][0] = 1;
for(int i = 1;i <= m;i++)
{
swap(now,lst);
memset(g[now],0,sizeof(g[now]));
for(int j = 0;j <= n;j++)
{
for(int k = 0;k <= n*m;k++)
{
for(int l = 0;l < 2;l++)
{
if(!g[lst][j][k][l]) continue;
g[now][j][k][l] = (g[now][j][k][l] + g[lst][j][k][l])%mod;
//选做a1
if(l == 0 && j < n) g[now][j+1][k+i][1] = (g[now][j+1][k+i][0] + g[lst][j][k][0]*i)%mod;
//被容斥
if(j < n) g[now][j+1][k+i][l] = (g[now][j+1][k+i][l] + g[lst][j][k][l]*(mod-inv[i]))%mod;
//不被容斥
if(j < n) g[now][j+1][k][l] = (g[now][j+1][k][l] + g[lst][j][k][l]*inv[i])%mod;
}
}
}
}
ll res = 0;
for(int k = 0;k <= n*m;k++) res = (res + g[now][n][k][1] * inv[k])%mod;
cout<<res<<"\n";
}
int main()
{
ios::sync_with_stdio(false);cin.tie(0);
cin>>n>>m>>k>>mod;
inv[1] = 1;
for(int i = 2;i <= n*m;i++) inv[i] = mod - mod/i*inv[mod%i]%mod;
if(k == 1) solve1();
if(k == 2) solve2();
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Subtask #1:
score: 10
Accepted
Test #1:
score: 10
Accepted
time: 0ms
memory: 3704kb
input:
9 16 1 327134593
output:
162102742
result:
ok single line: '162102742'
Test #2:
score: 0
Accepted
time: 0ms
memory: 3628kb
input:
11 18 1 834359503
output:
256188485
result:
ok single line: '256188485'
Test #3:
score: 0
Accepted
time: 0ms
memory: 3688kb
input:
18 18 1 614802701
output:
552168146
result:
ok single line: '552168146'
Test #4:
score: 0
Accepted
time: 9ms
memory: 39860kb
input:
7 16 2 861918403
output:
306693876
result:
ok single line: '306693876'
Test #5:
score: 0
Accepted
time: 12ms
memory: 39912kb
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: 3660kb
input:
60 98 1 715015339
output:
690737273
result:
ok single line: '690737273'
Test #7:
score: 0
Accepted
time: 0ms
memory: 3776kb
input:
96 97 1 507892589
output:
481151247
result:
ok single line: '481151247'
Test #8:
score: 0
Accepted
time: 0ms
memory: 3816kb
input:
90 95 1 621080027
output:
255353202
result:
ok single line: '255353202'
Test #9:
score: 0
Accepted
time: 0ms
memory: 3748kb
input:
85 94 1 297115421
output:
122254364
result:
ok single line: '122254364'
Test #10:
score: 0
Accepted
time: 0ms
memory: 3684kb
input:
81 91 1 460412027
output:
148037986
result:
ok single line: '148037986'
Subtask #3:
score: 15
Accepted
Test #11:
score: 15
Accepted
time: 20ms
memory: 39872kb
input:
29 29 2 545875273
output:
171843225
result:
ok single line: '171843225'
Test #12:
score: 0
Accepted
time: 19ms
memory: 39864kb
input:
29 29 2 342070607
output:
291380196
result:
ok single line: '291380196'
Test #13:
score: 0
Accepted
time: 21ms
memory: 39880kb
input:
30 30 2 293965439
output:
148471965
result:
ok single line: '148471965'
Test #14:
score: 0
Accepted
time: 27ms
memory: 39808kb
input:
30 30 2 528219961
output:
203632962
result:
ok single line: '203632962'
Test #15:
score: 0
Accepted
time: 0ms
memory: 3748kb
input:
30 30 1 202836509
output:
158493990
result:
ok single line: '158493990'
Subtask #4:
score: 10
Accepted
Test #16:
score: 10
Accepted
time: 21ms
memory: 39932kb
input:
27 30 2 360712453
output:
80987914
result:
ok single line: '80987914'
Test #17:
score: 0
Accepted
time: 20ms
memory: 39924kb
input:
26 29 2 377615957
output:
278812897
result:
ok single line: '278812897'
Test #18:
score: 0
Accepted
time: 20ms
memory: 39876kb
input:
22 30 2 163686233
output:
19517828
result:
ok single line: '19517828'
Test #19:
score: 0
Accepted
time: 25ms
memory: 39796kb
input:
20 29 2 785657729
output:
713061509
result:
ok single line: '713061509'
Test #20:
score: 0
Accepted
time: 0ms
memory: 3608kb
input:
24 29 1 374090597
output:
312615700
result:
ok single line: '312615700'
Subtask #5:
score: 15
Accepted
Test #21:
score: 15
Accepted
time: 27ms
memory: 39880kb
input:
29 38 2 909155077
output:
745973305
result:
ok single line: '745973305'
Test #22:
score: 0
Accepted
time: 33ms
memory: 39812kb
input:
40 40 2 1067474879
output:
995503334
result:
ok single line: '995503334'
Test #23:
score: 0
Accepted
time: 28ms
memory: 39880kb
input:
32 37 2 751116719
output:
699924081
result:
ok single line: '699924081'
Test #24:
score: 0
Accepted
time: 32ms
memory: 39800kb
input:
33 37 2 496100951
output:
21741458
result:
ok single line: '21741458'
Test #25:
score: 0
Accepted
time: 0ms
memory: 3636kb
input:
34 38 1 499914887
output:
386116226
result:
ok single line: '386116226'
Subtask #6:
score: 10
Accepted
Test #26:
score: 10
Accepted
time: 85ms
memory: 39884kb
input:
57 66 2 767174999
output:
315351738
result:
ok single line: '315351738'
Test #27:
score: 0
Accepted
time: 90ms
memory: 39876kb
input:
52 69 2 399947623
output:
237685494
result:
ok single line: '237685494'
Test #28:
score: 0
Accepted
time: 82ms
memory: 39880kb
input:
63 64 2 903693961
output:
520250635
result:
ok single line: '520250635'
Test #29:
score: 0
Accepted
time: 103ms
memory: 39892kb
input:
65 70 2 268454909
output:
255864893
result:
ok single line: '255864893'
Test #30:
score: 0
Accepted
time: 0ms
memory: 3664kb
input:
58 68 1 562105223
output:
175445185
result:
ok single line: '175445185'
Subtask #7:
score: 15
Accepted
Test #31:
score: 15
Accepted
time: 286ms
memory: 39996kb
input:
96 96 2 453296971
output:
222864385
result:
ok single line: '222864385'
Test #32:
score: 0
Accepted
time: 261ms
memory: 39868kb
input:
85 96 2 859572601
output:
457416092
result:
ok single line: '457416092'
Test #33:
score: 0
Accepted
time: 253ms
memory: 39860kb
input:
89 94 2 753918677
output:
366789523
result:
ok single line: '366789523'
Test #34:
score: 0
Accepted
time: 249ms
memory: 39852kb
input:
91 92 2 202806031
output:
64270709
result:
ok single line: '64270709'
Test #35:
score: 0
Accepted
time: 0ms
memory: 3780kb
input:
100 100 1 493945957
output:
109570004
result:
ok single line: '109570004'