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ID题目提交者结果用时内存语言文件大小提交时间测评时间
#112164#6566. Power of Divisorsmaomao90#AC ✓11ms3532kbC++172.4kb2023-06-10 13:32:292023-06-10 13:32:32

Judging History

你现在查看的是最新测评结果

  • [2023-08-10 23:21:45]
  • System Update: QOJ starts to keep a history of the judgings of all the submissions.
  • [2023-06-10 13:32:32]
  • 评测
  • 测评结果:AC
  • 用时:11ms
  • 内存:3532kb
  • [2023-06-10 13:32:29]
  • 提交

answer


// Hallelujah, praise the one who set me free
// Hallelujah, death has lost its grip on me
// You have broken every chain, There's salvation in your name
// Jesus Christ, my living hope
#include <bits/stdc++.h> 
using namespace std;

#define REP(i, s, e) for (int i = (s); i < (e); i++)
#define RREP(i, s, e) for (int i = (s); i >= (e); i--)
template <class T>
inline bool mnto(T& a, T b) {return a > b ? a = b, 1 : 0;}
template <class T>
inline bool mxto(T& a, T b) {return a < b ? a = b, 1: 0;}
typedef long long ll;
typedef long double ld;
#define FI first
#define SE second
typedef pair<int, int> ii;
typedef pair<ll, ll> pll;
typedef tuple<int, int, int> iii;
#define ALL(_a) _a.begin(), _a.end()
#define SZ(_a) (int) _a.size()
#define pb push_back
typedef vector<int> vi;
typedef vector<ll> vll;
typedef vector<ii> vii;
typedef vector<iii> viii;

#ifndef DEBUG
#define cerr if (0) cerr
#endif

const int INF = 1000000005;
const ll LINF = 1000000000000000005ll;
const int MAXN = 1000005;

ll x;
vi vc;

ll rt(ll x, ll p) {
    ll lo = 1, hi = x;
    while (lo < hi) {
        ll mid = lo + hi + 1 >> 1;
        ll res = 1;
        bool pos = 1;
        REP (z, 0, p) {
            if (res > x / mid) {
                pos = 0;
                break;
            }
            res = res * mid;
        }
        if (pos) {
            lo = mid;
        } else {
            hi = mid - 1;
        }
    }
    cerr << x << ' ' << p << ": " << lo << '\n';
    return lo;
}

int main() {
#ifndef DEBUG
    ios::sync_with_stdio(0), cin.tie(0);
#endif
    cin >> x;
    if (x == 1) {
        cout << 1 << '\n';
        return 0;
    }
    ll ox = x;
    REP (i, 2, MAXN) {
        int cnt = 0;
        while (x % i == 0) {
            x /= i;
            cnt++;
        }
        if (cnt) {
            vc.pb(cnt);
        }
    }
    if (x > 1) {
        ll sq = rt(x, 2);
        if (sq * sq == x) {
            vc.pb(2);
        } else {
            vc.pb(1);
        }
    }
    int g = 0;
    for (int c : vc) {
        g = __gcd(g, c);
    }
    int fnd = -1;
    REP (i, 1, g + 1) {
        ll prod = 1;
        if (g % i) {
            continue;
        }
        for (int c : vc) {
            prod *= c / g * i + 1;
        }
        if (prod == g / i) {
            fnd = i;
            break;
        }
    }
    if (fnd == -1) {
        cout << -1 << '\n';
    } else {
        cout << rt(ox, g / fnd) << '\n';
    }
    return 0;
}

詳細信息

Test #1:

score: 100
Accepted
time: 10ms
memory: 3512kb

input:

15625

output:

25

result:

ok single line: '25'

Test #2:

score: 0
Accepted
time: 10ms
memory: 3348kb

input:

64000000

output:

20

result:

ok single line: '20'

Test #3:

score: 0
Accepted
time: 7ms
memory: 3412kb

input:

65536

output:

-1

result:

ok single line: '-1'

Test #4:

score: 0
Accepted
time: 1ms
memory: 3472kb

input:

1

output:

1

result:

ok single line: '1'

Test #5:

score: 0
Accepted
time: 10ms
memory: 3264kb

input:

10

output:

-1

result:

ok single line: '-1'

Test #6:

score: 0
Accepted
time: 10ms
memory: 3268kb

input:

100

output:

-1

result:

ok single line: '-1'

Test #7:

score: 0
Accepted
time: 11ms
memory: 3352kb

input:

10000

output:

10

result:

ok single line: '10'

Test #8:

score: 0
Accepted
time: 10ms
memory: 3324kb

input:

1000000000000000000

output:

100

result:

ok single line: '100'

Test #9:

score: 0
Accepted
time: 10ms
memory: 3404kb

input:

10372926089038969

output:

218089

result:

ok single line: '218089'

Test #10:

score: 0
Accepted
time: 7ms
memory: 3304kb

input:

10642944803293201

output:

10157

result:

ok single line: '10157'

Test #11:

score: 0
Accepted
time: 10ms
memory: 3412kb

input:

10646534823110209

output:

103182047

result:

ok single line: '103182047'

Test #12:

score: 0
Accepted
time: 10ms
memory: 3512kb

input:

1073741824

output:

32

result:

ok single line: '32'

Test #13:

score: 0
Accepted
time: 10ms
memory: 3360kb

input:

121

output:

11

result:

ok single line: '11'

Test #14:

score: 0
Accepted
time: 10ms
memory: 3468kb

input:

1296

output:

6

result:

ok single line: '6'

Test #15:

score: 0
Accepted
time: 7ms
memory: 3360kb

input:

16

output:

-1

result:

ok single line: '-1'

Test #16:

score: 0
Accepted
time: 10ms
memory: 3468kb

input:

16277421889

output:

127583

result:

ok single line: '127583'

Test #17:

score: 0
Accepted
time: 10ms
memory: 3448kb

input:

169

output:

13

result:

ok single line: '13'

Test #18:

score: 0
Accepted
time: 10ms
memory: 3408kb

input:

1985984

output:

-1

result:

ok single line: '-1'

Test #19:

score: 0
Accepted
time: 8ms
memory: 3532kb

input:

2

output:

-1

result:

ok single line: '-1'

Test #20:

score: 0
Accepted
time: 10ms
memory: 3516kb

input:

205891132094649

output:

243

result:

ok single line: '243'

Test #21:

score: 0
Accepted
time: 10ms
memory: 3420kb

input:

25

output:

5

result:

ok single line: '5'

Test #22:

score: 0
Accepted
time: 10ms
memory: 3508kb

input:

2626114239841

output:

1273

result:

ok single line: '1273'

Test #23:

score: 0
Accepted
time: 10ms
memory: 3472kb

input:

26269395104446321

output:

12731

result:

ok single line: '12731'

Test #24:

score: 0
Accepted
time: 7ms
memory: 3408kb

input:

3

output:

-1

result:

ok single line: '-1'

Test #25:

score: 0
Accepted
time: 10ms
memory: 3412kb

input:

3596345248055296

output:

88

result:

ok single line: '88'

Test #26:

score: 0
Accepted
time: 10ms
memory: 3328kb

input:

36

output:

-1

result:

ok single line: '-1'

Test #27:

score: 0
Accepted
time: 7ms
memory: 3328kb

input:

4

output:

2

result:

ok single line: '2'

Test #28:

score: 0
Accepted
time: 10ms
memory: 3312kb

input:

4096

output:

8

result:

ok single line: '8'

Test #29:

score: 0
Accepted
time: 10ms
memory: 3416kb

input:

49

output:

7

result:

ok single line: '7'

Test #30:

score: 0
Accepted
time: 10ms
memory: 3308kb

input:

5

output:

-1

result:

ok single line: '-1'

Test #31:

score: 0
Accepted
time: 11ms
memory: 3508kb

input:

576460752303423488

output:

-1

result:

ok single line: '-1'

Test #32:

score: 0
Accepted
time: 10ms
memory: 3308kb

input:

581431415926321

output:

24112889

result:

ok single line: '24112889'

Test #33:

score: 0
Accepted
time: 8ms
memory: 3328kb

input:

6

output:

-1

result:

ok single line: '-1'

Test #34:

score: 0
Accepted
time: 10ms
memory: 3528kb

input:

64

output:

4

result:

ok single line: '4'

Test #35:

score: 0
Accepted
time: 10ms
memory: 3412kb

input:

656100000000

output:

30

result:

ok single line: '30'

Test #36:

score: 0
Accepted
time: 10ms
memory: 3328kb

input:

7

output:

-1

result:

ok single line: '-1'

Test #37:

score: 0
Accepted
time: 10ms
memory: 3356kb

input:

729

output:

9

result:

ok single line: '9'

Test #38:

score: 0
Accepted
time: 7ms
memory: 3316kb

input:

8

output:

-1

result:

ok single line: '-1'

Test #39:

score: 0
Accepted
time: 7ms
memory: 3404kb

input:

81

output:

-1

result:

ok single line: '-1'

Test #40:

score: 0
Accepted
time: 10ms
memory: 3304kb

input:

8527674378686464

output:

452

result:

ok single line: '452'

Test #41:

score: 0
Accepted
time: 10ms
memory: 3412kb

input:

9

output:

3

result:

ok single line: '3'

Test #42:

score: 0
Accepted
time: 11ms
memory: 3468kb

input:

982134461213542729

output:

994009

result:

ok single line: '994009'

Test #43:

score: 0
Accepted
time: 10ms
memory: 3352kb

input:

9992002399680016

output:

9998

result:

ok single line: '9998'

Test #44:

score: 0
Accepted
time: 7ms
memory: 3356kb

input:

999269311525198921

output:

-1

result:

ok single line: '-1'

Test #45:

score: 0
Accepted
time: 10ms
memory: 3420kb

input:

999949000866995087

output:

-1

result:

ok single line: '-1'

Test #46:

score: 0
Accepted
time: 10ms
memory: 3348kb

input:

999995482005103081

output:

-1

result:

ok single line: '-1'

Test #47:

score: 0
Accepted
time: 10ms
memory: 3468kb

input:

999999969999997921

output:

-1

result:

ok single line: '-1'

Test #48:

score: 0
Accepted
time: 10ms
memory: 3352kb

input:

999999999999999989

output:

-1

result:

ok single line: '-1'

Test #49:

score: 0
Accepted
time: 5ms
memory: 3356kb

input:

999999999999999999

output:

-1

result:

ok single line: '-1'