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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#152607 | #6566. Power of Divisors | BUET_POISSON# | AC ✓ | 38ms | 11532kb | C++20 | 1.0kb | 2023-08-28 14:30:22 | 2023-08-28 14:30:22 |
Judging History
answer
#include<bits/stdc++.h>
using namespace std;
#define int long long
const int N = 1000006;
int divCount[N];
bool isPrime(int n){
for(int i=2;i*i<=n;i++){
if( n%i == 0 ) return false;
}
return true;
}
int isSquare(int n){
int sq = sqrt(n);
if( sq*sq == n) return sq;
if( (sq+1)*(sq+1) == n ) return sq+1 ;
return -1;
}
void siv(){
for(int i=1;i<N;i++){
for(int j=i;j<N;j+=i) divCount[j]++;
}
}
bool pos(int n,int p,int target){
int val = 1;
for(int i=1;i<=p;i++){
val*=n;
if( val>target ) return false;
}
return val == target;
}
signed main(){
siv();
// for(int i=2;i<=25;i++) cout<<i<<" "<<divCount[i]<<endl;
int n;
cin>>n;
int sq = isSquare(n);
int res = LONG_LONG_MAX;
if( sq != -1 and isPrime(sq) ) res = min(res,sq);
for(int i=2;i<N;i++){
if( pos(i,divCount[i],n) ) res = min(res,i);
}
if( res == LONG_LONG_MAX ) cout<<-1;
else cout<<res;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 26ms
memory: 11488kb
input:
15625
output:
25
result:
ok single line: '25'
Test #2:
score: 0
Accepted
time: 26ms
memory: 11460kb
input:
64000000
output:
20
result:
ok single line: '20'
Test #3:
score: 0
Accepted
time: 26ms
memory: 11444kb
input:
65536
output:
-1
result:
ok single line: '-1'
Test #4:
score: 0
Accepted
time: 22ms
memory: 11448kb
input:
1
output:
1
result:
ok single line: '1'
Test #5:
score: 0
Accepted
time: 29ms
memory: 11372kb
input:
10
output:
-1
result:
ok single line: '-1'
Test #6:
score: 0
Accepted
time: 27ms
memory: 11444kb
input:
100
output:
-1
result:
ok single line: '-1'
Test #7:
score: 0
Accepted
time: 31ms
memory: 11388kb
input:
10000
output:
10
result:
ok single line: '10'
Test #8:
score: 0
Accepted
time: 37ms
memory: 11372kb
input:
1000000000000000000
output:
100
result:
ok single line: '100'
Test #9:
score: 0
Accepted
time: 34ms
memory: 11456kb
input:
10372926089038969
output:
218089
result:
ok single line: '218089'
Test #10:
score: 0
Accepted
time: 33ms
memory: 11444kb
input:
10642944803293201
output:
10157
result:
ok single line: '10157'
Test #11:
score: 0
Accepted
time: 30ms
memory: 11444kb
input:
10646534823110209
output:
103182047
result:
ok single line: '103182047'
Test #12:
score: 0
Accepted
time: 31ms
memory: 11384kb
input:
1073741824
output:
32
result:
ok single line: '32'
Test #13:
score: 0
Accepted
time: 26ms
memory: 11448kb
input:
121
output:
11
result:
ok single line: '11'
Test #14:
score: 0
Accepted
time: 26ms
memory: 11448kb
input:
1296
output:
6
result:
ok single line: '6'
Test #15:
score: 0
Accepted
time: 27ms
memory: 11520kb
input:
16
output:
-1
result:
ok single line: '-1'
Test #16:
score: 0
Accepted
time: 28ms
memory: 11508kb
input:
16277421889
output:
127583
result:
ok single line: '127583'
Test #17:
score: 0
Accepted
time: 26ms
memory: 11448kb
input:
169
output:
13
result:
ok single line: '13'
Test #18:
score: 0
Accepted
time: 27ms
memory: 11384kb
input:
1985984
output:
-1
result:
ok single line: '-1'
Test #19:
score: 0
Accepted
time: 27ms
memory: 11520kb
input:
2
output:
-1
result:
ok single line: '-1'
Test #20:
score: 0
Accepted
time: 32ms
memory: 11432kb
input:
205891132094649
output:
243
result:
ok single line: '243'
Test #21:
score: 0
Accepted
time: 23ms
memory: 11388kb
input:
25
output:
5
result:
ok single line: '5'
Test #22:
score: 0
Accepted
time: 36ms
memory: 11440kb
input:
2626114239841
output:
1273
result:
ok single line: '1273'
Test #23:
score: 0
Accepted
time: 33ms
memory: 11512kb
input:
26269395104446321
output:
12731
result:
ok single line: '12731'
Test #24:
score: 0
Accepted
time: 22ms
memory: 11460kb
input:
3
output:
-1
result:
ok single line: '-1'
Test #25:
score: 0
Accepted
time: 33ms
memory: 11444kb
input:
3596345248055296
output:
88
result:
ok single line: '88'
Test #26:
score: 0
Accepted
time: 27ms
memory: 11456kb
input:
36
output:
-1
result:
ok single line: '-1'
Test #27:
score: 0
Accepted
time: 22ms
memory: 11460kb
input:
4
output:
2
result:
ok single line: '2'
Test #28:
score: 0
Accepted
time: 30ms
memory: 11444kb
input:
4096
output:
8
result:
ok single line: '8'
Test #29:
score: 0
Accepted
time: 26ms
memory: 11328kb
input:
49
output:
7
result:
ok single line: '7'
Test #30:
score: 0
Accepted
time: 26ms
memory: 11328kb
input:
5
output:
-1
result:
ok single line: '-1'
Test #31:
score: 0
Accepted
time: 32ms
memory: 11460kb
input:
576460752303423488
output:
-1
result:
ok single line: '-1'
Test #32:
score: 0
Accepted
time: 33ms
memory: 11380kb
input:
581431415926321
output:
24112889
result:
ok single line: '24112889'
Test #33:
score: 0
Accepted
time: 26ms
memory: 11388kb
input:
6
output:
-1
result:
ok single line: '-1'
Test #34:
score: 0
Accepted
time: 27ms
memory: 11440kb
input:
64
output:
4
result:
ok single line: '4'
Test #35:
score: 0
Accepted
time: 31ms
memory: 11448kb
input:
656100000000
output:
30
result:
ok single line: '30'
Test #36:
score: 0
Accepted
time: 23ms
memory: 11512kb
input:
7
output:
-1
result:
ok single line: '-1'
Test #37:
score: 0
Accepted
time: 25ms
memory: 11328kb
input:
729
output:
9
result:
ok single line: '9'
Test #38:
score: 0
Accepted
time: 27ms
memory: 11528kb
input:
8
output:
-1
result:
ok single line: '-1'
Test #39:
score: 0
Accepted
time: 26ms
memory: 11448kb
input:
81
output:
-1
result:
ok single line: '-1'
Test #40:
score: 0
Accepted
time: 33ms
memory: 11384kb
input:
8527674378686464
output:
452
result:
ok single line: '452'
Test #41:
score: 0
Accepted
time: 27ms
memory: 11460kb
input:
9
output:
3
result:
ok single line: '3'
Test #42:
score: 0
Accepted
time: 37ms
memory: 11508kb
input:
982134461213542729
output:
994009
result:
ok single line: '994009'
Test #43:
score: 0
Accepted
time: 32ms
memory: 11448kb
input:
9992002399680016
output:
9998
result:
ok single line: '9998'
Test #44:
score: 0
Accepted
time: 34ms
memory: 11444kb
input:
999269311525198921
output:
-1
result:
ok single line: '-1'
Test #45:
score: 0
Accepted
time: 38ms
memory: 11532kb
input:
999949000866995087
output:
-1
result:
ok single line: '-1'
Test #46:
score: 0
Accepted
time: 38ms
memory: 11512kb
input:
999995482005103081
output:
-1
result:
ok single line: '-1'
Test #47:
score: 0
Accepted
time: 37ms
memory: 11516kb
input:
999999969999997921
output:
-1
result:
ok single line: '-1'
Test #48:
score: 0
Accepted
time: 34ms
memory: 11512kb
input:
999999999999999989
output:
-1
result:
ok single line: '-1'
Test #49:
score: 0
Accepted
time: 35ms
memory: 11480kb
input:
999999999999999999
output:
-1
result:
ok single line: '-1'