ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#185024 | #2157. 数列 | snow_trace | 100 | 763ms | 1196kb | C++11 | 795b | 2023-09-19 10:43:03 | 2023-09-19 12:08:34 |
answer
#include<bits/stdc++.h>
using namespace std;
#define int long long
int n,p,mod;
int qp(int p,int q){
int ans = 1,pro = p;
while(q){
if(q&1)ans = ans*pro%mod;
pro = pro*pro%mod;q>>=1;
}return ans;
}
signed main(){
cin >> n >> p;mod= p;
int cnt =0,now = 2*n;
while(now){
cnt+=now/p,now/=p;
}now = n;
while(now){
cnt-=now/p,now/=p;
}now = n+1;
while(now){
cnt-=now/p,now/=p;
}if(cnt){
cout << 0 << endl;return 0;
}int pro1=1,pro2 = 1,pro3 = 1;
for(int i = 1;i<=2*n;i++){
if(i%p == 0)continue;
pro1 = pro1*i%mod;
}for(int i = 1;i<=n;i++){
if(i%p == 0)continue;
pro2 = pro2*i%mod;
}for(int i = 1;i<=n+1;i++){
if(i%p == 0)continue;
pro3 = pro3*i%mod;
}cout << pro1*qp(pro2,mod-2)%mod*qp(pro3,mod-2)%mod << endl;
return 0;
}
Details
小提示:点击横条可展开更详细的信息
Test #1:
score: 5
Accepted
time: 0ms
memory: 1192kb
input:
921 998054347
output:
345389219
result:
ok single line: '345389219'
Test #2:
score: 5
Accepted
time: 0ms
memory: 1196kb
input:
926 998064329
output:
458756691
result:
ok single line: '458756691'
Test #3:
score: 5
Accepted
time: 0ms
memory: 1196kb
input:
1000 998074327
output:
457273797
result:
ok single line: '457273797'
Test #4:
score: 5
Accepted
time: 0ms
memory: 1192kb
input:
952 998084303
output:
329700115
result:
ok single line: '329700115'
Test #5:
score: 5
Accepted
time: 1ms
memory: 1196kb
input:
989 998094347
output:
94788253
result:
ok single line: '94788253'
Test #6:
score: 5
Accepted
time: 0ms
memory: 1192kb
input:
902 998104313
output:
911969455
result:
ok single line: '911969455'
Test #7:
score: 5
Accepted
time: 0ms
memory: 1196kb
input:
914 998114333
output:
827812986
result:
ok single line: '827812986'
Test #8:
score: 5
Accepted
time: 0ms
memory: 1196kb
input:
986 998124313
output:
169699253
result:
ok single line: '169699253'
Test #9:
score: 5
Accepted
time: 1ms
memory: 1196kb
input:
947 998134339
output:
761932751
result:
ok single line: '761932751'
Test #10:
score: 5
Accepted
time: 0ms
memory: 1196kb
input:
934 998144339
output:
42889072
result:
ok single line: '42889072'
Test #11:
score: 5
Accepted
time: 74ms
memory: 1196kb
input:
991572 998154343
output:
277089318
result:
ok single line: '277089318'
Test #12:
score: 5
Accepted
time: 77ms
memory: 1196kb
input:
932800 998164337
output:
945072504
result:
ok single line: '945072504'
Test #13:
score: 5
Accepted
time: 72ms
memory: 1192kb
input:
903603 998174341
output:
29916736
result:
ok single line: '29916736'
Test #14:
score: 5
Accepted
time: 80ms
memory: 1192kb
input:
958646 998184331
output:
802903490
result:
ok single line: '802903490'
Test #15:
score: 5
Accepted
time: 78ms
memory: 1192kb
input:
983016 998194349
output:
802900579
result:
ok single line: '802900579'
Test #16:
score: 5
Accepted
time: 73ms
memory: 1196kb
input:
922347 998204353
output:
228575331
result:
ok single line: '228575331'
Test #17:
score: 5
Accepted
time: 77ms
memory: 1192kb
input:
976053 998214317
output:
982618317
result:
ok single line: '982618317'
Test #18:
score: 5
Accepted
time: 76ms
memory: 1196kb
input:
957300 998224351
output:
514549818
result:
ok single line: '514549818'
Test #19:
score: 5
Accepted
time: 77ms
memory: 1196kb
input:
921760 998234353
output:
470386410
result:
ok single line: '470386410'
Test #20:
score: 5
Accepted
time: 77ms
memory: 1192kb
input:
912948 998244353
output:
129235345
result:
ok single line: '129235345'