QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#238583 | #6566. Power of Divisors | mtxas# | AC ✓ | 1ms | 3800kb | C++14 | 1.6kb | 2023-11-04 17:04:26 | 2023-11-04 17:04:26 |
Judging History
answer
#include <bits/stdc++.h>
#define int long long
#define pii pair<int,int>
#define printf(...)
#define mp make_pair
using namespace std;
void solve()
{
int x;
cin>>x;
const int B = LLONG_MAX;
function<int(int,int)> lift = [&] (int d, int k){
if(k == 0) return 1LL;
if(k==1) return d;
int dd = lift(d, k/2LL);
if(dd > B/dd) return LLONG_MAX;
else dd = dd*dd;
if(k&1LL){
if(dd > B/d) return LLONG_MAX;
else dd *= d;
}
return dd;
};
auto root = [&] (int x, int k) {
int L = 1, R = 1e9+11;
while(L<=R){
int M = (L+R)/2LL;
if(lift(M, k) > x) R = M-1;
else L = M+1;
};
return R;
};
auto divisors = [&] (int x){
vector<int> cnts;
for(int d=2; d*d<=x; ++d){
int cnt = 0;
while(x%d==0){
cnt++;
x/=d;
}
if(cnt) cnts.push_back(cnt);
}
if(x>1) cnts.push_back(1);
int ans = 1;
for(auto cnt:cnts){
ans *= (cnt+1);
}
return ans;
};
if(x == 1) {
cout<<"1 \n";
return;
}
int ans = -1;
for(int k=2; ; ++k)
{
if(root(x, k) == 1) break;
if(lift(root(x, k), k) == x) {
if(divisors(root(x, k)) == k)
ans = root(x, k);
}
}
cout<<ans;
}
signed main()
{
// freopen("input_00.txt", "r", stdin);
int T = 1;
// cin >> T;
while(T--)
{
solve();
}
}
Details
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Test #1:
score: 100
Accepted
time: 0ms
memory: 3528kb
input:
15625
output:
25
result:
ok single line: '25'
Test #2:
score: 0
Accepted
time: 0ms
memory: 3456kb
input:
64000000
output:
20
result:
ok single line: '20'
Test #3:
score: 0
Accepted
time: 0ms
memory: 3784kb
input:
65536
output:
-1
result:
ok single line: '-1'
Test #4:
score: 0
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time: 0ms
memory: 3576kb
input:
1
output:
1
result:
ok single line: '1 '
Test #5:
score: 0
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time: 0ms
memory: 3504kb
input:
10
output:
-1
result:
ok single line: '-1'
Test #6:
score: 0
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time: 0ms
memory: 3572kb
input:
100
output:
-1
result:
ok single line: '-1'
Test #7:
score: 0
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time: 0ms
memory: 3800kb
input:
10000
output:
10
result:
ok single line: '10'
Test #8:
score: 0
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time: 0ms
memory: 3504kb
input:
1000000000000000000
output:
100
result:
ok single line: '100'
Test #9:
score: 0
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time: 0ms
memory: 3504kb
input:
10372926089038969
output:
218089
result:
ok single line: '218089'
Test #10:
score: 0
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memory: 3500kb
input:
10642944803293201
output:
10157
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ok single line: '10157'
Test #11:
score: 0
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time: 0ms
memory: 3572kb
input:
10646534823110209
output:
103182047
result:
ok single line: '103182047'
Test #12:
score: 0
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time: 1ms
memory: 3524kb
input:
1073741824
output:
32
result:
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Test #13:
score: 0
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memory: 3504kb
input:
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output:
11
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ok single line: '11'
Test #14:
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memory: 3752kb
input:
1296
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6
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ok single line: '6'
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time: 0ms
memory: 3756kb
input:
16
output:
-1
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ok single line: '-1'
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score: 0
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time: 0ms
memory: 3724kb
input:
16277421889
output:
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ok single line: '127583'
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score: 0
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memory: 3520kb
input:
169
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score: 0
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time: 0ms
memory: 3588kb
input:
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output:
-1
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ok single line: '-1'
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score: 0
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time: 0ms
memory: 3592kb
input:
2
output:
-1
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ok single line: '-1'
Test #20:
score: 0
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time: 0ms
memory: 3584kb
input:
205891132094649
output:
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ok single line: '243'
Test #21:
score: 0
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time: 0ms
memory: 3784kb
input:
25
output:
5
result:
ok single line: '5'
Test #22:
score: 0
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time: 0ms
memory: 3800kb
input:
2626114239841
output:
1273
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ok single line: '1273'
Test #23:
score: 0
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time: 0ms
memory: 3592kb
input:
26269395104446321
output:
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ok single line: '12731'
Test #24:
score: 0
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time: 0ms
memory: 3584kb
input:
3
output:
-1
result:
ok single line: '-1'
Test #25:
score: 0
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time: 0ms
memory: 3504kb
input:
3596345248055296
output:
88
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ok single line: '88'
Test #26:
score: 0
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time: 0ms
memory: 3500kb
input:
36
output:
-1
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ok single line: '-1'
Test #27:
score: 0
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time: 0ms
memory: 3500kb
input:
4
output:
2
result:
ok single line: '2'
Test #28:
score: 0
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time: 0ms
memory: 3720kb
input:
4096
output:
8
result:
ok single line: '8'
Test #29:
score: 0
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time: 0ms
memory: 3496kb
input:
49
output:
7
result:
ok single line: '7'
Test #30:
score: 0
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time: 0ms
memory: 3456kb
input:
5
output:
-1
result:
ok single line: '-1'
Test #31:
score: 0
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time: 0ms
memory: 3528kb
input:
576460752303423488
output:
-1
result:
ok single line: '-1'
Test #32:
score: 0
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time: 0ms
memory: 3592kb
input:
581431415926321
output:
24112889
result:
ok single line: '24112889'
Test #33:
score: 0
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time: 0ms
memory: 3528kb
input:
6
output:
-1
result:
ok single line: '-1'
Test #34:
score: 0
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time: 0ms
memory: 3500kb
input:
64
output:
4
result:
ok single line: '4'
Test #35:
score: 0
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time: 0ms
memory: 3568kb
input:
656100000000
output:
30
result:
ok single line: '30'
Test #36:
score: 0
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time: 0ms
memory: 3788kb
input:
7
output:
-1
result:
ok single line: '-1'
Test #37:
score: 0
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time: 0ms
memory: 3756kb
input:
729
output:
9
result:
ok single line: '9'
Test #38:
score: 0
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time: 0ms
memory: 3460kb
input:
8
output:
-1
result:
ok single line: '-1'
Test #39:
score: 0
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time: 0ms
memory: 3564kb
input:
81
output:
-1
result:
ok single line: '-1'
Test #40:
score: 0
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time: 0ms
memory: 3568kb
input:
8527674378686464
output:
452
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ok single line: '452'
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score: 0
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time: 0ms
memory: 3508kb
input:
9
output:
3
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ok single line: '3'
Test #42:
score: 0
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time: 0ms
memory: 3464kb
input:
982134461213542729
output:
994009
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score: 0
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time: 0ms
memory: 3504kb
input:
9992002399680016
output:
9998
result:
ok single line: '9998'
Test #44:
score: 0
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time: 0ms
memory: 3576kb
input:
999269311525198921
output:
-1
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ok single line: '-1'
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score: 0
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time: 0ms
memory: 3576kb
input:
999949000866995087
output:
-1
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ok single line: '-1'
Test #46:
score: 0
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time: 0ms
memory: 3460kb
input:
999995482005103081
output:
-1
result:
ok single line: '-1'
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score: 0
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time: 0ms
memory: 3456kb
input:
999999969999997921
output:
-1
result:
ok single line: '-1'
Test #48:
score: 0
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time: 0ms
memory: 3752kb
input:
999999999999999989
output:
-1
result:
ok single line: '-1'
Test #49:
score: 0
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time: 0ms
memory: 3504kb
input:
999999999999999999
output:
-1
result:
ok single line: '-1'