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 |
---|---|---|---|---|---|---|---|---|---|
#213770 | #2157. 数列 | wanghanyu393 | 100 | 642ms | 48844kb | C++11 | 1.1kb | 2024-11-13 19:07:37 | 2024-11-13 23:01:02 |
answer
#include<iostream>
#include<cstring>
#include<algorithm>
using namespace std;
#define int long long
const int N = 2e6 + 5;
int is_prime[N], prime[N], pre[N], cnt;
int count1[N];
void euler(int n){
for(int i = 2; i <= n; i++){
if(!is_prime[i]) prime[cnt++] = i, pre[i] = i;
for(int j = 0; j < cnt && i * prime[j] <= n; j++){
is_prime[i * prime[j]] = 1;
pre[i * prime[j]] = prime[j];
if(i % prime[j] == 0) break;
}
}
}
int fast_power(int a, int b, int p){
int ans = 1;
while(b){
if(b & 1) ans = ans * a % p;
a = a * a % p;
b >>= 1;
}
return ans;
}
void solve(){
int n, p;
cin >> n >> p;
euler(n * 2);
for(int i = 1; i <= n; i++) count1[i] = -1;
for(int i = n + 2; i <= 2 * n; i++) count1[i] = 1;
for(int i = 2 * n; i > 1; i--){
if(pre[i] < i){
count1[pre[i]] += count1[i];
count1[i / pre[i]] += count1[i];
}
}
int ans = 1;
for(int i = 2; i <= n * 2; i++){
if(pre[i] == i){
ans = ans * fast_power(i, count1[i], p) % p;
}
}
cout << ans << '\n';
}
signed main(){
int t = 1;
//cin >> t;
while(t--){
solve();
}
return 0;
}
详细
小提示:点击横条可展开更详细的信息
Test #1:
score: 5
Accepted
time: 0ms
memory: 1252kb
input:
921 998054347
output:
345389219
result:
ok single line: '345389219'
Test #2:
score: 5
Accepted
time: 0ms
memory: 1256kb
input:
926 998064329
output:
458756691
result:
ok single line: '458756691'
Test #3:
score: 5
Accepted
time: 1ms
memory: 1260kb
input:
1000 998074327
output:
457273797
result:
ok single line: '457273797'
Test #4:
score: 5
Accepted
time: 0ms
memory: 1252kb
input:
952 998084303
output:
329700115
result:
ok single line: '329700115'
Test #5:
score: 5
Accepted
time: 0ms
memory: 1260kb
input:
989 998094347
output:
94788253
result:
ok single line: '94788253'
Test #6:
score: 5
Accepted
time: 1ms
memory: 1248kb
input:
902 998104313
output:
911969455
result:
ok single line: '911969455'
Test #7:
score: 5
Accepted
time: 1ms
memory: 1256kb
input:
914 998114333
output:
827812986
result:
ok single line: '827812986'
Test #8:
score: 5
Accepted
time: 1ms
memory: 1256kb
input:
986 998124313
output:
169699253
result:
ok single line: '169699253'
Test #9:
score: 5
Accepted
time: 0ms
memory: 1252kb
input:
947 998134339
output:
761932751
result:
ok single line: '761932751'
Test #10:
score: 5
Accepted
time: 0ms
memory: 1256kb
input:
934 998144339
output:
42889072
result:
ok single line: '42889072'
Test #11:
score: 5
Accepted
time: 116ms
memory: 48844kb
input:
991572 998154343
output:
277089318
result:
ok single line: '277089318'
Test #12:
score: 5
Accepted
time: 68ms
memory: 46020kb
input:
932800 998164337
output:
945072504
result:
ok single line: '945072504'
Test #13:
score: 5
Accepted
time: 58ms
memory: 44620kb
input:
903603 998174341
output:
29916736
result:
ok single line: '29916736'
Test #14:
score: 5
Accepted
time: 58ms
memory: 47260kb
input:
958646 998184331
output:
802903490
result:
ok single line: '802903490'
Test #15:
score: 5
Accepted
time: 54ms
memory: 48432kb
input:
983016 998194349
output:
802900579
result:
ok single line: '802900579'
Test #16:
score: 5
Accepted
time: 49ms
memory: 45524kb
input:
922347 998204353
output:
228575331
result:
ok single line: '228575331'
Test #17:
score: 5
Accepted
time: 58ms
memory: 48096kb
input:
976053 998214317
output:
982618317
result:
ok single line: '982618317'
Test #18:
score: 5
Accepted
time: 61ms
memory: 47196kb
input:
957300 998224351
output:
514549818
result:
ok single line: '514549818'
Test #19:
score: 5
Accepted
time: 60ms
memory: 45496kb
input:
921760 998234353
output:
470386410
result:
ok single line: '470386410'
Test #20:
score: 5
Accepted
time: 56ms
memory: 45076kb
input:
912948 998244353
output:
129235345
result:
ok single line: '129235345'