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ID | 题目 | 提交者 | 结果 | 用时 | 内存 | 语言 | 文件大小 | 提交时间 | 测评时间 |
---|---|---|---|---|---|---|---|---|---|
#251505 | #7774. 基础寄术练习题 | zhouhuanyi | 100 ✓ | 1268ms | 18980kb | C++14 | 1.6kb | 2023-11-14 19:44:40 | 2023-11-14 19:44:40 |
Judging History
answer
#include<iostream>
#include<cstdio>
#define N 100
#define M 10000
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;
}
int n,m,k,mod,ans,inv[M+1],dp[N+1][N+1],DP[2][N+1][M+1][2];
int MD(int x)
{
return x>=mod?x-mod:x;
}
int MD2(int x)
{
return x<0?x+mod:x;
}
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 main()
{
int opt=0;
n=read(),m=read(),k=read(),mod=read(),inv[1]=1;
for (int i=2;i<=M;++i) inv[i]=MD2(-1ll*(mod/i)*inv[mod%i]%mod);
if (k==1)
{
for (int i=0;i<=m;++i) dp[0][i]=1;
for (int i=1;i<=n;++i)
for (int j=1;j<=m;++j)
dp[i][j]=MD(dp[i][j-1]+1ll*dp[i-1][j-1]*inv[j]%mod);
printf("%d\n",dp[n][m]);
}
else
{
for (int i=0;i<=m;++i) DP[0][i][0][0]=MD2(-1);
for (int i=1;i<=n;++i)
{
opt^=1;
for (int j=0;j<=m;++j)
for (int k=0;k<=n*m;++k)
for (int op=0;op<=1;++op)
DP[opt][j][k][op]=0;
for (int j=1;j<=m;++j)
for (int k=0;k<=n*m;++k)
{
for (int op=0;op<=1;++op) Adder(DP[opt][j][k][op],DP[opt][j-1][k][op]),Adder(DP[opt][j][k][op],1ll*DP[opt^1][j-1][k][op]*inv[j]%mod);
if (k>=j)
{
Adder2(DP[opt][j][k][1],-1ll*DP[opt^1][j-1][k-j][0]*j%mod);
for (int op=0;op<=1;++op) Adder2(DP[opt][j][k][op],-1ll*DP[opt^1][j-1][k-j][op]*inv[j]%mod);
}
}
}
for (int i=1;i<=n*m;++i) Adder(ans,1ll*DP[opt][m][i][1]*inv[i]%mod);
printf("%d\n",ans);
}
return 0;
}
详细
Subtask #1:
score: 10
Accepted
Test #1:
score: 10
Accepted
time: 0ms
memory: 3584kb
input:
9 16 1 327134593
output:
162102742
result:
ok single line: '162102742'
Test #2:
score: 0
Accepted
time: 1ms
memory: 3624kb
input:
11 18 1 834359503
output:
256188485
result:
ok single line: '256188485'
Test #3:
score: 0
Accepted
time: 1ms
memory: 3620kb
input:
18 18 1 614802701
output:
552168146
result:
ok single line: '552168146'
Test #4:
score: 0
Accepted
time: 2ms
memory: 9964kb
input:
7 16 2 861918403
output:
306693876
result:
ok single line: '306693876'
Test #5:
score: 0
Accepted
time: 2ms
memory: 7696kb
input:
11 17 2 617904383
output:
393900291
result:
ok single line: '393900291'
Subtask #2:
score: 25
Accepted
Test #6:
score: 25
Accepted
time: 1ms
memory: 3632kb
input:
60 98 1 715015339
output:
690737273
result:
ok single line: '690737273'
Test #7:
score: 0
Accepted
time: 1ms
memory: 3828kb
input:
96 97 1 507892589
output:
481151247
result:
ok single line: '481151247'
Test #8:
score: 0
Accepted
time: 1ms
memory: 3648kb
input:
90 95 1 621080027
output:
255353202
result:
ok single line: '255353202'
Test #9:
score: 0
Accepted
time: 1ms
memory: 3884kb
input:
85 94 1 297115421
output:
122254364
result:
ok single line: '122254364'
Test #10:
score: 0
Accepted
time: 1ms
memory: 3608kb
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: 11784kb
input:
29 29 2 545875273
output:
171843225
result:
ok single line: '171843225'
Test #12:
score: 0
Accepted
time: 12ms
memory: 10116kb
input:
29 29 2 342070607
output:
291380196
result:
ok single line: '291380196'
Test #13:
score: 0
Accepted
time: 14ms
memory: 11712kb
input:
30 30 2 293965439
output:
148471965
result:
ok single line: '148471965'
Test #14:
score: 0
Accepted
time: 14ms
memory: 11908kb
input:
30 30 2 528219961
output:
203632962
result:
ok single line: '203632962'
Test #15:
score: 0
Accepted
time: 1ms
memory: 3628kb
input:
30 30 1 202836509
output:
158493990
result:
ok single line: '158493990'
Subtask #4:
score: 10
Accepted
Test #16:
score: 10
Accepted
time: 7ms
memory: 9896kb
input:
27 30 2 360712453
output:
80987914
result:
ok single line: '80987914'
Test #17:
score: 0
Accepted
time: 7ms
memory: 11772kb
input:
26 29 2 377615957
output:
278812897
result:
ok single line: '278812897'
Test #18:
score: 0
Accepted
time: 5ms
memory: 9988kb
input:
22 30 2 163686233
output:
19517828
result:
ok single line: '19517828'
Test #19:
score: 0
Accepted
time: 6ms
memory: 9972kb
input:
20 29 2 785657729
output:
713061509
result:
ok single line: '713061509'
Test #20:
score: 0
Accepted
time: 1ms
memory: 3564kb
input:
24 29 1 374090597
output:
312615700
result:
ok single line: '312615700'
Subtask #5:
score: 15
Accepted
Test #21:
score: 15
Accepted
time: 20ms
memory: 9948kb
input:
29 38 2 909155077
output:
745973305
result:
ok single line: '745973305'
Test #22:
score: 0
Accepted
time: 39ms
memory: 10008kb
input:
40 40 2 1067474879
output:
995503334
result:
ok single line: '995503334'
Test #23:
score: 0
Accepted
time: 18ms
memory: 10036kb
input:
32 37 2 751116719
output:
699924081
result:
ok single line: '699924081'
Test #24:
score: 0
Accepted
time: 23ms
memory: 10208kb
input:
33 37 2 496100951
output:
21741458
result:
ok single line: '21741458'
Test #25:
score: 0
Accepted
time: 1ms
memory: 3592kb
input:
34 38 1 499914887
output:
386116226
result:
ok single line: '386116226'
Subtask #6:
score: 10
Accepted
Test #26:
score: 10
Accepted
time: 206ms
memory: 16224kb
input:
57 66 2 767174999
output:
315351738
result:
ok single line: '315351738'
Test #27:
score: 0
Accepted
time: 188ms
memory: 18312kb
input:
52 69 2 399947623
output:
237685494
result:
ok single line: '237685494'
Test #28:
score: 0
Accepted
time: 241ms
memory: 14304kb
input:
63 64 2 903693961
output:
520250635
result:
ok single line: '520250635'
Test #29:
score: 0
Accepted
time: 302ms
memory: 14700kb
input:
65 70 2 268454909
output:
255864893
result:
ok single line: '255864893'
Test #30:
score: 0
Accepted
time: 1ms
memory: 3624kb
input:
58 68 1 562105223
output:
175445185
result:
ok single line: '175445185'
Subtask #7:
score: 15
Accepted
Test #31:
score: 15
Accepted
time: 1268ms
memory: 18980kb
input:
96 96 2 453296971
output:
222864385
result:
ok single line: '222864385'
Test #32:
score: 0
Accepted
time: 999ms
memory: 18900kb
input:
85 96 2 859572601
output:
457416092
result:
ok single line: '457416092'
Test #33:
score: 0
Accepted
time: 1038ms
memory: 18572kb
input:
89 94 2 753918677
output:
366789523
result:
ok single line: '366789523'
Test #34:
score: 0
Accepted
time: 1048ms
memory: 18900kb
input:
91 92 2 202806031
output:
64270709
result:
ok single line: '64270709'
Test #35:
score: 0
Accepted
time: 1ms
memory: 3772kb
input:
100 100 1 493945957
output:
109570004
result:
ok single line: '109570004'