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ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#282639 | #7774. 基础寄术练习题 | yyyyxh | 100 ✓ | 214ms | 5420kb | C++23 | 1.1kb | 2023-12-12 16:50:31 | 2023-12-12 16:50:31 |
Judging History
answer
#include <cstdio>
using namespace std;
typedef long long ll;
int read(){
char c=getchar();int x=0;
while(c<48||c>57) c=getchar();
do x=(x<<1)+(x<<3)+(c^48),c=getchar();
while(c>=48&&c<=57);
return x;
}
int n,m,k,p;
const int N=103;
int inv[N*N];
int fs[N],sm;
int f[N][N*N][2];
int main(){
n=read();m=read();k=read();p=read();
inv[1]=1;
if(k==1){
for(int i=2;i<=m;++i) inv[i]=(ll)inv[p%i]*(p-p/i)%p;
fs[0]=1;
for(int i=1;i<=m;++i)
for(int j=i;j;--j) fs[j]=(fs[j]+(ll)fs[j-1]*inv[i])%p;
printf("%d\n",fs[n]);
return 0;
}
for(int i=2;i<=m*m;++i) inv[i]=(ll)inv[p%i]*(p-p/i)%p;
int sm=0;
f[0][0][0]=1;
for(int i=1;i<=m;++i){
sm+=i;
for(int j=n;j;--j)
for(int x=0;x<=sm;++x)
for(int t=0;t<2;++t){
int &dp=f[j][x][t];
dp=(dp+(ll)inv[i]*f[j-1][x][t])%p;
if(x>=i){
dp=(dp-(ll)inv[i]*f[j-1][x-i][t])%p;
if(dp<0) dp+=p;
if(t) dp=(dp+(ll)i*f[j-1][x-i][0])%p;
}
}
}
int res=0;
for(int i=0;i<=sm;++i)
res=(res+(ll)f[n][i][1]*inv[i])%p;
printf("%d\n",res);
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: 1476kb
input:
9 16 1 327134593
output:
162102742
result:
ok single line: '162102742'
Test #2:
score: 0
Accepted
time: 0ms
memory: 1480kb
input:
11 18 1 834359503
output:
256188485
result:
ok single line: '256188485'
Test #3:
score: 0
Accepted
time: 0ms
memory: 1512kb
input:
18 18 1 614802701
output:
552168146
result:
ok single line: '552168146'
Test #4:
score: 0
Accepted
time: 0ms
memory: 1548kb
input:
7 16 2 861918403
output:
306693876
result:
ok single line: '306693876'
Test #5:
score: 0
Accepted
time: 0ms
memory: 1568kb
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: 1508kb
input:
60 98 1 715015339
output:
690737273
result:
ok single line: '690737273'
Test #7:
score: 0
Accepted
time: 0ms
memory: 1596kb
input:
96 97 1 507892589
output:
481151247
result:
ok single line: '481151247'
Test #8:
score: 0
Accepted
time: 0ms
memory: 1528kb
input:
90 95 1 621080027
output:
255353202
result:
ok single line: '255353202'
Test #9:
score: 0
Accepted
time: 0ms
memory: 1500kb
input:
85 94 1 297115421
output:
122254364
result:
ok single line: '122254364'
Test #10:
score: 0
Accepted
time: 0ms
memory: 1512kb
input:
81 91 1 460412027
output:
148037986
result:
ok single line: '148037986'
Subtask #3:
score: 15
Accepted
Test #11:
score: 15
Accepted
time: 0ms
memory: 1820kb
input:
29 29 2 545875273
output:
171843225
result:
ok single line: '171843225'
Test #12:
score: 0
Accepted
time: 0ms
memory: 1700kb
input:
29 29 2 342070607
output:
291380196
result:
ok single line: '291380196'
Test #13:
score: 0
Accepted
time: 2ms
memory: 1744kb
input:
30 30 2 293965439
output:
148471965
result:
ok single line: '148471965'
Test #14:
score: 0
Accepted
time: 2ms
memory: 1764kb
input:
30 30 2 528219961
output:
203632962
result:
ok single line: '203632962'
Test #15:
score: 0
Accepted
time: 0ms
memory: 1496kb
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: 1744kb
input:
27 30 2 360712453
output:
80987914
result:
ok single line: '80987914'
Test #17:
score: 0
Accepted
time: 2ms
memory: 1728kb
input:
26 29 2 377615957
output:
278812897
result:
ok single line: '278812897'
Test #18:
score: 0
Accepted
time: 0ms
memory: 1680kb
input:
22 30 2 163686233
output:
19517828
result:
ok single line: '19517828'
Test #19:
score: 0
Accepted
time: 1ms
memory: 1640kb
input:
20 29 2 785657729
output:
713061509
result:
ok single line: '713061509'
Test #20:
score: 0
Accepted
time: 0ms
memory: 1516kb
input:
24 29 1 374090597
output:
312615700
result:
ok single line: '312615700'
Subtask #5:
score: 15
Accepted
Test #21:
score: 15
Accepted
time: 4ms
memory: 1812kb
input:
29 38 2 909155077
output:
745973305
result:
ok single line: '745973305'
Test #22:
score: 0
Accepted
time: 7ms
memory: 1904kb
input:
40 40 2 1067474879
output:
995503334
result:
ok single line: '995503334'
Test #23:
score: 0
Accepted
time: 4ms
memory: 1828kb
input:
32 37 2 751116719
output:
699924081
result:
ok single line: '699924081'
Test #24:
score: 0
Accepted
time: 5ms
memory: 1800kb
input:
33 37 2 496100951
output:
21741458
result:
ok single line: '21741458'
Test #25:
score: 0
Accepted
time: 0ms
memory: 1500kb
input:
34 38 1 499914887
output:
386116226
result:
ok single line: '386116226'
Subtask #6:
score: 10
Accepted
Test #26:
score: 10
Accepted
time: 37ms
memory: 2752kb
input:
57 66 2 767174999
output:
315351738
result:
ok single line: '315351738'
Test #27:
score: 0
Accepted
time: 43ms
memory: 4760kb
input:
52 69 2 399947623
output:
237685494
result:
ok single line: '237685494'
Test #28:
score: 0
Accepted
time: 38ms
memory: 2792kb
input:
63 64 2 903693961
output:
520250635
result:
ok single line: '520250635'
Test #29:
score: 0
Accepted
time: 58ms
memory: 3056kb
input:
65 70 2 268454909
output:
255864893
result:
ok single line: '255864893'
Test #30:
score: 0
Accepted
time: 0ms
memory: 1528kb
input:
58 68 1 562105223
output:
175445185
result:
ok single line: '175445185'
Subtask #7:
score: 15
Accepted
Test #31:
score: 15
Accepted
time: 214ms
memory: 5420kb
input:
96 96 2 453296971
output:
222864385
result:
ok single line: '222864385'
Test #32:
score: 0
Accepted
time: 185ms
memory: 4976kb
input:
85 96 2 859572601
output:
457416092
result:
ok single line: '457416092'
Test #33:
score: 0
Accepted
time: 179ms
memory: 5004kb
input:
89 94 2 753918677
output:
366789523
result:
ok single line: '366789523'
Test #34:
score: 0
Accepted
time: 174ms
memory: 4944kb
input:
91 92 2 202806031
output:
64270709
result:
ok single line: '64270709'
Test #35:
score: 0
Accepted
time: 0ms
memory: 1480kb
input:
100 100 1 493945957
output:
109570004
result:
ok single line: '109570004'