QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#338499 | #6566. Power of Divisors | Aestivate | AC ✓ | 10ms | 3836kb | C++20 | 1.6kb | 2024-02-25 23:15:19 | 2024-02-25 23:15:20 |
Judging History
answer
#include<bits/stdc++.h>
using namespace std;
#define int long long
#define pb push_back
#define F first
#define S second
int fpow(int a, int u, int n){
int ret = 1;
while(u){
if(u & 1)
ret = (__int128)ret * a % n;
a = (__int128)a * a % n;
u >>= 1;
}
return ret;
}
int isprime(int n){
if(n < 3 || n % 2 == 0)
return n == 2;
int u = n - 1, t = 0;
while(u % 2 == 0)
u/=2, t++;
for(int i=0;i<8;i++){
int a=rand() % (n - 2) + 2, v = fpow(a, u, n);
if(v == 1)
continue;
int s;
for(s = 0; s < t; s++){
if(v == n - 1)
break;
v = (__int128)v * v % n;
}
if(s == t)
return 0;
}
return 1;
}
int num(int x){
int ans=0;
for(int j=1;j*j<=x;j++){
if(x%j) continue;
if(j*j==x) ans++;
else ans+=2;
}
return ans;
}
__int128 po(int x, int id){
__int128 ans=1;
for(int i=1;i<=id;i++) ans*=x;
return ans;
}
void solve(){
int x;
cin>>x;
if(x==1){
cout<<"1\n";
return;
}
if(isprime(x)){
cout<<"-1\n";
return;
}
int t=sqrt(x);
while(t*t<=x) t++;
while(t*t>x) t--;
int ans=3e18;
if(num(t)==2&&t*t==x) ans=t;
int h=3;
for(int i=1000000;i>=2;i--){
while(po(i, h)<x) h++;
if(po(i, h)!=x) continue;
if(num(i)==h) ans=i;
}
if(ans==3e18) ans=-1;
cout<<ans<<"\n";
}
signed main(){
ios::sync_with_stdio(0);cin.tie(0);
solve();
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 8ms
memory: 3592kb
input:
15625
output:
25
result:
ok single line: '25'
Test #2:
score: 0
Accepted
time: 7ms
memory: 3512kb
input:
64000000
output:
20
result:
ok single line: '20'
Test #3:
score: 0
Accepted
time: 8ms
memory: 3832kb
input:
65536
output:
-1
result:
ok single line: '-1'
Test #4:
score: 0
Accepted
time: 0ms
memory: 3532kb
input:
1
output:
1
result:
ok single line: '1'
Test #5:
score: 0
Accepted
time: 8ms
memory: 3600kb
input:
10
output:
-1
result:
ok single line: '-1'
Test #6:
score: 0
Accepted
time: 8ms
memory: 3628kb
input:
100
output:
-1
result:
ok single line: '-1'
Test #7:
score: 0
Accepted
time: 7ms
memory: 3584kb
input:
10000
output:
10
result:
ok single line: '10'
Test #8:
score: 0
Accepted
time: 10ms
memory: 3536kb
input:
1000000000000000000
output:
100
result:
ok single line: '100'
Test #9:
score: 0
Accepted
time: 8ms
memory: 3632kb
input:
10372926089038969
output:
218089
result:
ok single line: '218089'
Test #10:
score: 0
Accepted
time: 8ms
memory: 3764kb
input:
10642944803293201
output:
10157
result:
ok single line: '10157'
Test #11:
score: 0
Accepted
time: 5ms
memory: 3832kb
input:
10646534823110209
output:
103182047
result:
ok single line: '103182047'
Test #12:
score: 0
Accepted
time: 8ms
memory: 3488kb
input:
1073741824
output:
32
result:
ok single line: '32'
Test #13:
score: 0
Accepted
time: 8ms
memory: 3528kb
input:
121
output:
11
result:
ok single line: '11'
Test #14:
score: 0
Accepted
time: 8ms
memory: 3632kb
input:
1296
output:
6
result:
ok single line: '6'
Test #15:
score: 0
Accepted
time: 7ms
memory: 3536kb
input:
16
output:
-1
result:
ok single line: '-1'
Test #16:
score: 0
Accepted
time: 8ms
memory: 3592kb
input:
16277421889
output:
127583
result:
ok single line: '127583'
Test #17:
score: 0
Accepted
time: 4ms
memory: 3608kb
input:
169
output:
13
result:
ok single line: '13'
Test #18:
score: 0
Accepted
time: 8ms
memory: 3596kb
input:
1985984
output:
-1
result:
ok single line: '-1'
Test #19:
score: 0
Accepted
time: 0ms
memory: 3592kb
input:
2
output:
-1
result:
ok single line: '-1'
Test #20:
score: 0
Accepted
time: 8ms
memory: 3832kb
input:
205891132094649
output:
243
result:
ok single line: '243'
Test #21:
score: 0
Accepted
time: 8ms
memory: 3536kb
input:
25
output:
5
result:
ok single line: '5'
Test #22:
score: 0
Accepted
time: 8ms
memory: 3588kb
input:
2626114239841
output:
1273
result:
ok single line: '1273'
Test #23:
score: 0
Accepted
time: 8ms
memory: 3480kb
input:
26269395104446321
output:
12731
result:
ok single line: '12731'
Test #24:
score: 0
Accepted
time: 0ms
memory: 3540kb
input:
3
output:
-1
result:
ok single line: '-1'
Test #25:
score: 0
Accepted
time: 8ms
memory: 3784kb
input:
3596345248055296
output:
88
result:
ok single line: '88'
Test #26:
score: 0
Accepted
time: 7ms
memory: 3604kb
input:
36
output:
-1
result:
ok single line: '-1'
Test #27:
score: 0
Accepted
time: 8ms
memory: 3764kb
input:
4
output:
2
result:
ok single line: '2'
Test #28:
score: 0
Accepted
time: 8ms
memory: 3540kb
input:
4096
output:
8
result:
ok single line: '8'
Test #29:
score: 0
Accepted
time: 7ms
memory: 3628kb
input:
49
output:
7
result:
ok single line: '7'
Test #30:
score: 0
Accepted
time: 0ms
memory: 3832kb
input:
5
output:
-1
result:
ok single line: '-1'
Test #31:
score: 0
Accepted
time: 9ms
memory: 3536kb
input:
576460752303423488
output:
-1
result:
ok single line: '-1'
Test #32:
score: 0
Accepted
time: 8ms
memory: 3592kb
input:
581431415926321
output:
24112889
result:
ok single line: '24112889'
Test #33:
score: 0
Accepted
time: 8ms
memory: 3604kb
input:
6
output:
-1
result:
ok single line: '-1'
Test #34:
score: 0
Accepted
time: 8ms
memory: 3536kb
input:
64
output:
4
result:
ok single line: '4'
Test #35:
score: 0
Accepted
time: 8ms
memory: 3592kb
input:
656100000000
output:
30
result:
ok single line: '30'
Test #36:
score: 0
Accepted
time: 0ms
memory: 3540kb
input:
7
output:
-1
result:
ok single line: '-1'
Test #37:
score: 0
Accepted
time: 8ms
memory: 3816kb
input:
729
output:
9
result:
ok single line: '9'
Test #38:
score: 0
Accepted
time: 8ms
memory: 3760kb
input:
8
output:
-1
result:
ok single line: '-1'
Test #39:
score: 0
Accepted
time: 8ms
memory: 3632kb
input:
81
output:
-1
result:
ok single line: '-1'
Test #40:
score: 0
Accepted
time: 4ms
memory: 3540kb
input:
8527674378686464
output:
452
result:
ok single line: '452'
Test #41:
score: 0
Accepted
time: 8ms
memory: 3504kb
input:
9
output:
3
result:
ok single line: '3'
Test #42:
score: 0
Accepted
time: 10ms
memory: 3760kb
input:
982134461213542729
output:
994009
result:
ok single line: '994009'
Test #43:
score: 0
Accepted
time: 9ms
memory: 3836kb
input:
9992002399680016
output:
9998
result:
ok single line: '9998'
Test #44:
score: 0
Accepted
time: 10ms
memory: 3792kb
input:
999269311525198921
output:
-1
result:
ok single line: '-1'
Test #45:
score: 0
Accepted
time: 10ms
memory: 3572kb
input:
999949000866995087
output:
-1
result:
ok single line: '-1'
Test #46:
score: 0
Accepted
time: 10ms
memory: 3812kb
input:
999995482005103081
output:
-1
result:
ok single line: '-1'
Test #47:
score: 0
Accepted
time: 10ms
memory: 3536kb
input:
999999969999997921
output:
-1
result:
ok single line: '-1'
Test #48:
score: 0
Accepted
time: 0ms
memory: 3564kb
input:
999999999999999989
output:
-1
result:
ok single line: '-1'
Test #49:
score: 0
Accepted
time: 10ms
memory: 3832kb
input:
999999999999999999
output:
-1
result:
ok single line: '-1'