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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
#338499#6566. Power of DivisorsAestivateAC ✓10ms3836kbC++201.6kb2024-02-25 23:15:192024-02-25 23:15:20

Judging History

你现在查看的是最新测评结果

  • [2024-02-25 23:15:20]
  • 评测
  • 测评结果:AC
  • 用时:10ms
  • 内存:3836kb
  • [2024-02-25 23:15:19]
  • 提交

answer

#include<bits/stdc++.h>

using namespace std;

#define int long long 
#define pb push_back
#define F first 
#define S second 
int fpow(int a, int u, int n){
    int ret = 1;
    while(u){
        if(u & 1)
            ret = (__int128)ret * a % n;
        a = (__int128)a * a % n;
        u >>= 1;
    }
    return ret;
}
int isprime(int n){
    if(n < 3 || n % 2 == 0)
    return n == 2;
    int u = n - 1, t = 0;
    while(u % 2 == 0)
        u/=2, t++;
    for(int i=0;i<8;i++){
        int a=rand() % (n - 2) + 2, v = fpow(a, u, n);
        if(v == 1)
            continue;
        int s;
        for(s = 0; s < t; s++){
            if(v == n - 1)
                break;
            v = (__int128)v * v % n;
        }
        if(s == t)
            return 0;
    }
    return 1;
}

int num(int x){
    int ans=0;
    for(int j=1;j*j<=x;j++){
        if(x%j) continue;
        if(j*j==x) ans++;
        else ans+=2;
    }
    return ans;
}

__int128 po(int x, int id){
    __int128 ans=1;
    for(int i=1;i<=id;i++) ans*=x;
    return ans;
}
void solve(){
    int x;
    cin>>x;
    if(x==1){
        cout<<"1\n";
        return;
    }
    if(isprime(x)){
        cout<<"-1\n";
        return;
    }
    int t=sqrt(x);
    while(t*t<=x) t++;
    while(t*t>x) t--;
    int ans=3e18;
    if(num(t)==2&&t*t==x) ans=t;
    
    int h=3;
    for(int i=1000000;i>=2;i--){
        while(po(i, h)<x) h++;
        if(po(i, h)!=x) continue;
        if(num(i)==h) ans=i;
    }
    if(ans==3e18) ans=-1;
    cout<<ans<<"\n";
}
signed main(){
    ios::sync_with_stdio(0);cin.tie(0);
    solve();
    return 0;
}

详细

Test #1:

score: 100
Accepted
time: 8ms
memory: 3592kb

input:

15625

output:

25

result:

ok single line: '25'

Test #2:

score: 0
Accepted
time: 7ms
memory: 3512kb

input:

64000000

output:

20

result:

ok single line: '20'

Test #3:

score: 0
Accepted
time: 8ms
memory: 3832kb

input:

65536

output:

-1

result:

ok single line: '-1'

Test #4:

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

input:

1

output:

1

result:

ok single line: '1'

Test #5:

score: 0
Accepted
time: 8ms
memory: 3600kb

input:

10

output:

-1

result:

ok single line: '-1'

Test #6:

score: 0
Accepted
time: 8ms
memory: 3628kb

input:

100

output:

-1

result:

ok single line: '-1'

Test #7:

score: 0
Accepted
time: 7ms
memory: 3584kb

input:

10000

output:

10

result:

ok single line: '10'

Test #8:

score: 0
Accepted
time: 10ms
memory: 3536kb

input:

1000000000000000000

output:

100

result:

ok single line: '100'

Test #9:

score: 0
Accepted
time: 8ms
memory: 3632kb

input:

10372926089038969

output:

218089

result:

ok single line: '218089'

Test #10:

score: 0
Accepted
time: 8ms
memory: 3764kb

input:

10642944803293201

output:

10157

result:

ok single line: '10157'

Test #11:

score: 0
Accepted
time: 5ms
memory: 3832kb

input:

10646534823110209

output:

103182047

result:

ok single line: '103182047'

Test #12:

score: 0
Accepted
time: 8ms
memory: 3488kb

input:

1073741824

output:

32

result:

ok single line: '32'

Test #13:

score: 0
Accepted
time: 8ms
memory: 3528kb

input:

121

output:

11

result:

ok single line: '11'

Test #14:

score: 0
Accepted
time: 8ms
memory: 3632kb

input:

1296

output:

6

result:

ok single line: '6'

Test #15:

score: 0
Accepted
time: 7ms
memory: 3536kb

input:

16

output:

-1

result:

ok single line: '-1'

Test #16:

score: 0
Accepted
time: 8ms
memory: 3592kb

input:

16277421889

output:

127583

result:

ok single line: '127583'

Test #17:

score: 0
Accepted
time: 4ms
memory: 3608kb

input:

169

output:

13

result:

ok single line: '13'

Test #18:

score: 0
Accepted
time: 8ms
memory: 3596kb

input:

1985984

output:

-1

result:

ok single line: '-1'

Test #19:

score: 0
Accepted
time: 0ms
memory: 3592kb

input:

2

output:

-1

result:

ok single line: '-1'

Test #20:

score: 0
Accepted
time: 8ms
memory: 3832kb

input:

205891132094649

output:

243

result:

ok single line: '243'

Test #21:

score: 0
Accepted
time: 8ms
memory: 3536kb

input:

25

output:

5

result:

ok single line: '5'

Test #22:

score: 0
Accepted
time: 8ms
memory: 3588kb

input:

2626114239841

output:

1273

result:

ok single line: '1273'

Test #23:

score: 0
Accepted
time: 8ms
memory: 3480kb

input:

26269395104446321

output:

12731

result:

ok single line: '12731'

Test #24:

score: 0
Accepted
time: 0ms
memory: 3540kb

input:

3

output:

-1

result:

ok single line: '-1'

Test #25:

score: 0
Accepted
time: 8ms
memory: 3784kb

input:

3596345248055296

output:

88

result:

ok single line: '88'

Test #26:

score: 0
Accepted
time: 7ms
memory: 3604kb

input:

36

output:

-1

result:

ok single line: '-1'

Test #27:

score: 0
Accepted
time: 8ms
memory: 3764kb

input:

4

output:

2

result:

ok single line: '2'

Test #28:

score: 0
Accepted
time: 8ms
memory: 3540kb

input:

4096

output:

8

result:

ok single line: '8'

Test #29:

score: 0
Accepted
time: 7ms
memory: 3628kb

input:

49

output:

7

result:

ok single line: '7'

Test #30:

score: 0
Accepted
time: 0ms
memory: 3832kb

input:

5

output:

-1

result:

ok single line: '-1'

Test #31:

score: 0
Accepted
time: 9ms
memory: 3536kb

input:

576460752303423488

output:

-1

result:

ok single line: '-1'

Test #32:

score: 0
Accepted
time: 8ms
memory: 3592kb

input:

581431415926321

output:

24112889

result:

ok single line: '24112889'

Test #33:

score: 0
Accepted
time: 8ms
memory: 3604kb

input:

6

output:

-1

result:

ok single line: '-1'

Test #34:

score: 0
Accepted
time: 8ms
memory: 3536kb

input:

64

output:

4

result:

ok single line: '4'

Test #35:

score: 0
Accepted
time: 8ms
memory: 3592kb

input:

656100000000

output:

30

result:

ok single line: '30'

Test #36:

score: 0
Accepted
time: 0ms
memory: 3540kb

input:

7

output:

-1

result:

ok single line: '-1'

Test #37:

score: 0
Accepted
time: 8ms
memory: 3816kb

input:

729

output:

9

result:

ok single line: '9'

Test #38:

score: 0
Accepted
time: 8ms
memory: 3760kb

input:

8

output:

-1

result:

ok single line: '-1'

Test #39:

score: 0
Accepted
time: 8ms
memory: 3632kb

input:

81

output:

-1

result:

ok single line: '-1'

Test #40:

score: 0
Accepted
time: 4ms
memory: 3540kb

input:

8527674378686464

output:

452

result:

ok single line: '452'

Test #41:

score: 0
Accepted
time: 8ms
memory: 3504kb

input:

9

output:

3

result:

ok single line: '3'

Test #42:

score: 0
Accepted
time: 10ms
memory: 3760kb

input:

982134461213542729

output:

994009

result:

ok single line: '994009'

Test #43:

score: 0
Accepted
time: 9ms
memory: 3836kb

input:

9992002399680016

output:

9998

result:

ok single line: '9998'

Test #44:

score: 0
Accepted
time: 10ms
memory: 3792kb

input:

999269311525198921

output:

-1

result:

ok single line: '-1'

Test #45:

score: 0
Accepted
time: 10ms
memory: 3572kb

input:

999949000866995087

output:

-1

result:

ok single line: '-1'

Test #46:

score: 0
Accepted
time: 10ms
memory: 3812kb

input:

999995482005103081

output:

-1

result:

ok single line: '-1'

Test #47:

score: 0
Accepted
time: 10ms
memory: 3536kb

input:

999999969999997921

output:

-1

result:

ok single line: '-1'

Test #48:

score: 0
Accepted
time: 0ms
memory: 3564kb

input:

999999999999999989

output:

-1

result:

ok single line: '-1'

Test #49:

score: 0
Accepted
time: 10ms
memory: 3832kb

input:

999999999999999999

output:

-1

result:

ok single line: '-1'