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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#114088 | #6566. Power of Divisors | UFRJ# | AC ✓ | 41ms | 6976kb | C++20 | 1.4kb | 2023-06-20 21:56:21 | 2023-06-20 21:56:22 |
Judging History
answer
#include "bits/stdc++.h"
using lint = int64_t;
using namespace std;
const lint linf = lint(1e18) + 10;
const int mod = 998244353;
map<lint,lint> memo;
int countDiv(lint x) {
set<lint> st;
for(lint i = 1; i*i <= x; i++) {
if(x % i == 0) {
st.insert(i);
st.insert(x/i);
}
}
return st.size();
}
lint f(lint x) {
lint ans = 1;
for(int i = 0; i < countDiv(x); i++) {
ans *= x;
}
return ans;
}
const int ms = 1e6 + 10;
int main() {
cin.tie(nullptr)->sync_with_stdio(false);
vector<int>num(ms);
for(int i=1;i<ms;i++){
for(int j=i;j<ms;j+=i) num[j]++;
}
lint ans = linf;
lint n;
cin>>n;
for(lint i=1;i<ms;i++){
lint cur = 1;
for(int j=0;j<num[i];j++){
if(linf / i < cur) cur = linf;
else cur = cur * i;
}
if(cur == n) ans = min(ans, i);
}
lint lo = 1, hi = 1e9 + 2;
while(lo <= hi){
lint mid = (lo + hi) / 2;
if(mid * mid <= n) lo = mid + 1;
else hi = mid - 1;
}
if(hi >= ms && hi * hi == n){
int d = 0;
for(lint i=2;i*i<=hi;i++){
if(hi % i == 0){
d++;
}
}
if(!d) ans = min(ans, hi);
}
if(ans == linf) cout<<"-1\n";
else cout<<ans<<"\n";
return 0;
}
Details
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Test #1:
score: 100
Accepted
time: 35ms
memory: 6892kb
input:
15625
output:
25
result:
ok single line: '25'
Test #2:
score: 0
Accepted
time: 35ms
memory: 6848kb
input:
64000000
output:
20
result:
ok single line: '20'
Test #3:
score: 0
Accepted
time: 40ms
memory: 6804kb
input:
65536
output:
-1
result:
ok single line: '-1'
Test #4:
score: 0
Accepted
time: 38ms
memory: 6872kb
input:
1
output:
1
result:
ok single line: '1'
Test #5:
score: 0
Accepted
time: 36ms
memory: 6852kb
input:
10
output:
-1
result:
ok single line: '-1'
Test #6:
score: 0
Accepted
time: 38ms
memory: 6876kb
input:
100
output:
-1
result:
ok single line: '-1'
Test #7:
score: 0
Accepted
time: 40ms
memory: 6888kb
input:
10000
output:
10
result:
ok single line: '10'
Test #8:
score: 0
Accepted
time: 36ms
memory: 6880kb
input:
1000000000000000000
output:
100
result:
ok single line: '100'
Test #9:
score: 0
Accepted
time: 33ms
memory: 6852kb
input:
10372926089038969
output:
218089
result:
ok single line: '218089'
Test #10:
score: 0
Accepted
time: 35ms
memory: 6880kb
input:
10642944803293201
output:
10157
result:
ok single line: '10157'
Test #11:
score: 0
Accepted
time: 39ms
memory: 6904kb
input:
10646534823110209
output:
103182047
result:
ok single line: '103182047'
Test #12:
score: 0
Accepted
time: 34ms
memory: 6912kb
input:
1073741824
output:
32
result:
ok single line: '32'
Test #13:
score: 0
Accepted
time: 36ms
memory: 6908kb
input:
121
output:
11
result:
ok single line: '11'
Test #14:
score: 0
Accepted
time: 40ms
memory: 6828kb
input:
1296
output:
6
result:
ok single line: '6'
Test #15:
score: 0
Accepted
time: 41ms
memory: 6976kb
input:
16
output:
-1
result:
ok single line: '-1'
Test #16:
score: 0
Accepted
time: 40ms
memory: 6908kb
input:
16277421889
output:
127583
result:
ok single line: '127583'
Test #17:
score: 0
Accepted
time: 37ms
memory: 6892kb
input:
169
output:
13
result:
ok single line: '13'
Test #18:
score: 0
Accepted
time: 35ms
memory: 6860kb
input:
1985984
output:
-1
result:
ok single line: '-1'
Test #19:
score: 0
Accepted
time: 35ms
memory: 6856kb
input:
2
output:
-1
result:
ok single line: '-1'
Test #20:
score: 0
Accepted
time: 32ms
memory: 6884kb
input:
205891132094649
output:
243
result:
ok single line: '243'
Test #21:
score: 0
Accepted
time: 39ms
memory: 6908kb
input:
25
output:
5
result:
ok single line: '5'
Test #22:
score: 0
Accepted
time: 36ms
memory: 6832kb
input:
2626114239841
output:
1273
result:
ok single line: '1273'
Test #23:
score: 0
Accepted
time: 36ms
memory: 6864kb
input:
26269395104446321
output:
12731
result:
ok single line: '12731'
Test #24:
score: 0
Accepted
time: 40ms
memory: 6912kb
input:
3
output:
-1
result:
ok single line: '-1'
Test #25:
score: 0
Accepted
time: 36ms
memory: 6912kb
input:
3596345248055296
output:
88
result:
ok single line: '88'
Test #26:
score: 0
Accepted
time: 39ms
memory: 6856kb
input:
36
output:
-1
result:
ok single line: '-1'
Test #27:
score: 0
Accepted
time: 40ms
memory: 6840kb
input:
4
output:
2
result:
ok single line: '2'
Test #28:
score: 0
Accepted
time: 40ms
memory: 6868kb
input:
4096
output:
8
result:
ok single line: '8'
Test #29:
score: 0
Accepted
time: 38ms
memory: 6856kb
input:
49
output:
7
result:
ok single line: '7'
Test #30:
score: 0
Accepted
time: 36ms
memory: 6848kb
input:
5
output:
-1
result:
ok single line: '-1'
Test #31:
score: 0
Accepted
time: 36ms
memory: 6852kb
input:
576460752303423488
output:
-1
result:
ok single line: '-1'
Test #32:
score: 0
Accepted
time: 37ms
memory: 6920kb
input:
581431415926321
output:
24112889
result:
ok single line: '24112889'
Test #33:
score: 0
Accepted
time: 35ms
memory: 6916kb
input:
6
output:
-1
result:
ok single line: '-1'
Test #34:
score: 0
Accepted
time: 33ms
memory: 6932kb
input:
64
output:
4
result:
ok single line: '4'
Test #35:
score: 0
Accepted
time: 39ms
memory: 6860kb
input:
656100000000
output:
30
result:
ok single line: '30'
Test #36:
score: 0
Accepted
time: 40ms
memory: 6852kb
input:
7
output:
-1
result:
ok single line: '-1'
Test #37:
score: 0
Accepted
time: 34ms
memory: 6892kb
input:
729
output:
9
result:
ok single line: '9'
Test #38:
score: 0
Accepted
time: 35ms
memory: 6888kb
input:
8
output:
-1
result:
ok single line: '-1'
Test #39:
score: 0
Accepted
time: 32ms
memory: 6860kb
input:
81
output:
-1
result:
ok single line: '-1'
Test #40:
score: 0
Accepted
time: 40ms
memory: 6868kb
input:
8527674378686464
output:
452
result:
ok single line: '452'
Test #41:
score: 0
Accepted
time: 39ms
memory: 6912kb
input:
9
output:
3
result:
ok single line: '3'
Test #42:
score: 0
Accepted
time: 41ms
memory: 6848kb
input:
982134461213542729
output:
994009
result:
ok single line: '994009'
Test #43:
score: 0
Accepted
time: 40ms
memory: 6860kb
input:
9992002399680016
output:
9998
result:
ok single line: '9998'
Test #44:
score: 0
Accepted
time: 40ms
memory: 6876kb
input:
999269311525198921
output:
-1
result:
ok single line: '-1'
Test #45:
score: 0
Accepted
time: 41ms
memory: 6888kb
input:
999949000866995087
output:
-1
result:
ok single line: '-1'
Test #46:
score: 0
Accepted
time: 35ms
memory: 6872kb
input:
999995482005103081
output:
-1
result:
ok single line: '-1'
Test #47:
score: 0
Accepted
time: 39ms
memory: 6860kb
input:
999999969999997921
output:
-1
result:
ok single line: '-1'
Test #48:
score: 0
Accepted
time: 35ms
memory: 6820kb
input:
999999999999999989
output:
-1
result:
ok single line: '-1'
Test #49:
score: 0
Accepted
time: 35ms
memory: 6880kb
input:
999999999999999999
output:
-1
result:
ok single line: '-1'