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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#182792 | #6566. Power of Divisors | meomeo | AC ✓ | 1ms | 3852kb | C++14 | 2.4kb | 2023-09-18 15:47:24 | 2023-09-18 15:47:24 |
Judging History
answer
#include<bits/stdc++.h>
#define int long long
using namespace std;
#define rep(i, from, to) for (int i = from; i < (to); ++i)
#define all(x) x.begin(), x.end()
#define sz(x) (int)(x).size()
typedef long long ll;
typedef pair<int, int> pii;
typedef vector<int> vi;
typedef unsigned long long ull;
ull modmul(ull a, ull b, ull M) {
ll ret = a * b - M * ull(1.L / M * a * b);
return ret + M * (ret < 0) - M * (ret >= (ll)M);
}
ull modpow(ull b, ull e, ull mod) {
ull ans = 1;
for (; e; b = modmul(b, b, mod), e /= 2)
if (e & 1) ans = modmul(ans, b, mod);
return ans;
}
bool isPrime(ull n) {
if (n < 2 || n % 6 % 4 != 1) return (n | 1) == 3;
ull A[] = {2, 325, 9375, 28178, 450775, 9780504, 1795265022},
s = __builtin_ctzll(n-1), d = n >> s;
for (ull a : A) { // ^ count trailing zeroes
ull p = modpow(a%n, d, n), i = s;
while (p != 1 && p != n - 1 && a % n && i--)
p = modmul(p, p, n);
if (p != n-1 && i != s) return 0;
}
return 1;
}
ull pollard(ull n) {
auto f = [n](ull x) { return modmul(x, x, n) + 1; };
ull x = 0, y = 0, t = 30, prd = 2, i = 1, q;
while (t++ % 40 || __gcd(prd, n) == 1) {
if (x == y) x = ++i, y = f(x);
if ((q = modmul(prd, max(x,y) - min(x,y), n))) prd = q;
x = f(x), y = f(f(y));
}
return __gcd(prd, n);
}
vector<ull> factor(ull n) {
if (n == 1) return {};
if (isPrime(n)) return {n};
ull x = pollard(n);
auto l = factor(x), r = factor(n / x);
l.insert(l.end(), all(r));
return l;
}
signed main(){
ios::sync_with_stdio(0); cin.tie(0);
// freopen("input.txt","r",stdin);
// freopen("output.txt","w",stdout);
int x;
cin >> x;
if (x == 1) {
cout << 1;
return 0;
}
vector<ull> fact = factor(x);
sort(fact.begin(), fact.end());
vector<int> a, b;
int cnt = 1;
for (int i = 1 ; i < fact.size() ; i++) {
if (fact[i] != fact[i-1]) {
a.push_back(cnt);
b.push_back(fact[i-1]);
cnt = 0;
}
cnt += 1;
}
a.push_back(cnt);
b.push_back(fact.back());
int gcd = 0;
for (int &u: a) {
gcd = __gcd(u, gcd);
}
int res = -1;
for (int i = 1 ; i <= gcd ; i++) {
if (gcd % i == 0) {
int cnt = 1;
for (int &u: a) {
cnt *= (u / i + 1);
}
if (i == cnt) {
for (int j = 0 ; j < a.size() ; j++) {
for (int k = 0 ; k < a[j] / i ; k++) {
res *= b[j];
}
}
break;
}
}
}
if (res != -1) res *= -1;
cout << res;
return 0;
}
Details
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Test #1:
score: 100
Accepted
time: 0ms
memory: 3816kb
input:
15625
output:
25
result:
ok single line: '25'
Test #2:
score: 0
Accepted
time: 0ms
memory: 3552kb
input:
64000000
output:
20
result:
ok single line: '20'
Test #3:
score: 0
Accepted
time: 0ms
memory: 3844kb
input:
65536
output:
-1
result:
ok single line: '-1'
Test #4:
score: 0
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time: 0ms
memory: 3848kb
input:
1
output:
1
result:
ok single line: '1'
Test #5:
score: 0
Accepted
time: 0ms
memory: 3780kb
input:
10
output:
-1
result:
ok single line: '-1'
Test #6:
score: 0
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time: 0ms
memory: 3584kb
input:
100
output:
-1
result:
ok single line: '-1'
Test #7:
score: 0
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time: 0ms
memory: 3584kb
input:
10000
output:
10
result:
ok single line: '10'
Test #8:
score: 0
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time: 0ms
memory: 3512kb
input:
1000000000000000000
output:
100
result:
ok single line: '100'
Test #9:
score: 0
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time: 0ms
memory: 3552kb
input:
10372926089038969
output:
218089
result:
ok single line: '218089'
Test #10:
score: 0
Accepted
time: 1ms
memory: 3552kb
input:
10642944803293201
output:
10157
result:
ok single line: '10157'
Test #11:
score: 0
Accepted
time: 1ms
memory: 3612kb
input:
10646534823110209
output:
103182047
result:
ok single line: '103182047'
Test #12:
score: 0
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time: 0ms
memory: 3552kb
input:
1073741824
output:
32
result:
ok single line: '32'
Test #13:
score: 0
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time: 0ms
memory: 3840kb
input:
121
output:
11
result:
ok single line: '11'
Test #14:
score: 0
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time: 0ms
memory: 3616kb
input:
1296
output:
6
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ok single line: '6'
Test #15:
score: 0
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time: 0ms
memory: 3808kb
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: 3836kb
input:
16277421889
output:
127583
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ok single line: '127583'
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score: 0
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time: 0ms
memory: 3852kb
input:
169
output:
13
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ok single line: '13'
Test #18:
score: 0
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time: 0ms
memory: 3624kb
input:
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output:
-1
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ok single line: '-1'
Test #19:
score: 0
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time: 0ms
memory: 3608kb
input:
2
output:
-1
result:
ok single line: '-1'
Test #20:
score: 0
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time: 0ms
memory: 3624kb
input:
205891132094649
output:
243
result:
ok single line: '243'
Test #21:
score: 0
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time: 0ms
memory: 3612kb
input:
25
output:
5
result:
ok single line: '5'
Test #22:
score: 0
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time: 0ms
memory: 3552kb
input:
2626114239841
output:
1273
result:
ok single line: '1273'
Test #23:
score: 0
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time: 0ms
memory: 3552kb
input:
26269395104446321
output:
12731
result:
ok single line: '12731'
Test #24:
score: 0
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time: 0ms
memory: 3648kb
input:
3
output:
-1
result:
ok single line: '-1'
Test #25:
score: 0
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time: 0ms
memory: 3776kb
input:
3596345248055296
output:
88
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ok single line: '88'
Test #26:
score: 0
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time: 0ms
memory: 3616kb
input:
36
output:
-1
result:
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: 3780kb
input:
4096
output:
8
result:
ok single line: '8'
Test #29:
score: 0
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time: 0ms
memory: 3612kb
input:
49
output:
7
result:
ok single line: '7'
Test #30:
score: 0
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time: 0ms
memory: 3616kb
input:
5
output:
-1
result:
ok single line: '-1'
Test #31:
score: 0
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time: 0ms
memory: 3560kb
input:
576460752303423488
output:
-1
result:
ok single line: '-1'
Test #32:
score: 0
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time: 0ms
memory: 3772kb
input:
581431415926321
output:
24112889
result:
ok single line: '24112889'
Test #33:
score: 0
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time: 0ms
memory: 3776kb
input:
6
output:
-1
result:
ok single line: '-1'
Test #34:
score: 0
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time: 0ms
memory: 3552kb
input:
64
output:
4
result:
ok single line: '4'
Test #35:
score: 0
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time: 0ms
memory: 3556kb
input:
656100000000
output:
30
result:
ok single line: '30'
Test #36:
score: 0
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time: 0ms
memory: 3840kb
input:
7
output:
-1
result:
ok single line: '-1'
Test #37:
score: 0
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time: 0ms
memory: 3616kb
input:
729
output:
9
result:
ok single line: '9'
Test #38:
score: 0
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time: 0ms
memory: 3844kb
input:
8
output:
-1
result:
ok single line: '-1'
Test #39:
score: 0
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time: 0ms
memory: 3848kb
input:
81
output:
-1
result:
ok single line: '-1'
Test #40:
score: 0
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time: 0ms
memory: 3496kb
input:
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output:
452
result:
ok single line: '452'
Test #41:
score: 0
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time: 0ms
memory: 3612kb
input:
9
output:
3
result:
ok single line: '3'
Test #42:
score: 0
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time: 0ms
memory: 3552kb
input:
982134461213542729
output:
994009
result:
ok single line: '994009'
Test #43:
score: 0
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time: 0ms
memory: 3620kb
input:
9992002399680016
output:
9998
result:
ok single line: '9998'
Test #44:
score: 0
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time: 0ms
memory: 3604kb
input:
999269311525198921
output:
-1
result:
ok single line: '-1'
Test #45:
score: 0
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time: 0ms
memory: 3616kb
input:
999949000866995087
output:
-1
result:
ok single line: '-1'
Test #46:
score: 0
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time: 0ms
memory: 3776kb
input:
999995482005103081
output:
-1
result:
ok single line: '-1'
Test #47:
score: 0
Accepted
time: 1ms
memory: 3800kb
input:
999999969999997921
output:
-1
result:
ok single line: '-1'
Test #48:
score: 0
Accepted
time: 0ms
memory: 3612kb
input:
999999999999999989
output:
-1
result:
ok single line: '-1'
Test #49:
score: 0
Accepted
time: 0ms
memory: 3612kb
input:
999999999999999999
output:
-1
result:
ok single line: '-1'