QOJ.ac
QOJ
| ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
|---|---|---|---|---|---|---|---|---|---|
| #374831 | #3051. Identity Function | SolitaryDream# | WA | 1ms | 3832kb | C++17 | 1014b | 2024-04-02 18:42:40 | 2024-04-02 18:42:40 |
Judging History
answer
#include<bits/stdc++.h>
using namespace std;
#define int long long
const int N=1e5+1e3+7;
int phi(int x)
{
int ans=x;
for(int i=2;i*i<=x;i++)
if(x%i==0)
{
ans=ans/i*(i-1);
while(x%i==0)
x/=i;
}
if(x!=1)
ans=ans/x*(x-1);
return ans;
}
int qpow(int a,int b,int P)
{
int ret=1;
while(b)
{
if(b&1)
ret=ret*a%P;
b>>=1;
a=a*a%P;
}
return ret%P;
}
signed main()
{
ios::sync_with_stdio(false);
cin.tie(0);
int n;
cin>>n;
int w=phi(phi(n));
int pn=phi(n);
vector<int> ans;
for(int i=1;i*i<=w;i++)
if(w%i==0)
{
if(qpow(n,i,pn)==1%pn)
ans.push_back(i);
if(qpow(n,w/i,pn)==1%pn)
ans.push_back(w/i);
}
if(ans.size())
cout<<*min_element(ans.begin(),ans.end())<<"\n";
else
cout<<"-1\n";
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 0ms
memory: 3560kb
input:
3
output:
1
result:
ok single line: '1'
Test #2:
score: 0
Accepted
time: 1ms
memory: 3584kb
input:
4
output:
-1
result:
ok single line: '-1'
Test #3:
score: 0
Accepted
time: 0ms
memory: 3584kb
input:
15
output:
2
result:
ok single line: '2'
Test #4:
score: 0
Accepted
time: 1ms
memory: 3544kb
input:
2
output:
1
result:
ok single line: '1'
Test #5:
score: 0
Accepted
time: 1ms
memory: 3556kb
input:
3
output:
1
result:
ok single line: '1'
Test #6:
score: 0
Accepted
time: 0ms
memory: 3628kb
input:
4
output:
-1
result:
ok single line: '-1'
Test #7:
score: 0
Accepted
time: 0ms
memory: 3760kb
input:
5
output:
1
result:
ok single line: '1'
Test #8:
score: 0
Accepted
time: 1ms
memory: 3576kb
input:
6
output:
-1
result:
ok single line: '-1'
Test #9:
score: 0
Accepted
time: 1ms
memory: 3612kb
input:
7
output:
1
result:
ok single line: '1'
Test #10:
score: 0
Accepted
time: 0ms
memory: 3544kb
input:
8
output:
-1
result:
ok single line: '-1'
Test #11:
score: 0
Accepted
time: 0ms
memory: 3584kb
input:
9
output:
-1
result:
ok single line: '-1'
Test #12:
score: 0
Accepted
time: 0ms
memory: 3588kb
input:
10
output:
-1
result:
ok single line: '-1'
Test #13:
score: 0
Accepted
time: 0ms
memory: 3624kb
input:
11
output:
1
result:
ok single line: '1'
Test #14:
score: 0
Accepted
time: 0ms
memory: 3832kb
input:
12
output:
-1
result:
ok single line: '-1'
Test #15:
score: 0
Accepted
time: 1ms
memory: 3544kb
input:
13
output:
1
result:
ok single line: '1'
Test #16:
score: 0
Accepted
time: 0ms
memory: 3588kb
input:
14
output:
-1
result:
ok single line: '-1'
Test #17:
score: 0
Accepted
time: 0ms
memory: 3648kb
input:
15
output:
2
result:
ok single line: '2'
Test #18:
score: 0
Accepted
time: 1ms
memory: 3544kb
input:
16
output:
-1
result:
ok single line: '-1'
Test #19:
score: 0
Accepted
time: 0ms
memory: 3528kb
input:
17
output:
1
result:
ok single line: '1'
Test #20:
score: 0
Accepted
time: 0ms
memory: 3536kb
input:
18
output:
-1
result:
ok single line: '-1'
Test #21:
score: 0
Accepted
time: 0ms
memory: 3832kb
input:
19
output:
1
result:
ok single line: '1'
Test #22:
score: 0
Accepted
time: 0ms
memory: 3832kb
input:
20
output:
-1
result:
ok single line: '-1'
Test #23:
score: 0
Accepted
time: 0ms
memory: 3756kb
input:
21
output:
-1
result:
ok single line: '-1'
Test #24:
score: 0
Accepted
time: 0ms
memory: 3784kb
input:
140232429
output:
-1
result:
ok single line: '-1'
Test #25:
score: 0
Accepted
time: 0ms
memory: 3784kb
input:
21672344
output:
-1
result:
ok single line: '-1'
Test #26:
score: 0
Accepted
time: 0ms
memory: 3624kb
input:
229029120
output:
-1
result:
ok single line: '-1'
Test #27:
score: 0
Accepted
time: 1ms
memory: 3780kb
input:
511616301
output:
-1
result:
ok single line: '-1'
Test #28:
score: 0
Accepted
time: 0ms
memory: 3612kb
input:
4353750
output:
-1
result:
ok single line: '-1'
Test #29:
score: 0
Accepted
time: 0ms
memory: 3488kb
input:
9129172
output:
-1
result:
ok single line: '-1'
Test #30:
score: 0
Accepted
time: 0ms
memory: 3536kb
input:
256102461
output:
-1
result:
ok single line: '-1'
Test #31:
score: 0
Accepted
time: 1ms
memory: 3632kb
input:
477992350
output:
-1
result:
ok single line: '-1'
Test #32:
score: 0
Accepted
time: 0ms
memory: 3828kb
input:
28628975
output:
-1
result:
ok single line: '-1'
Test #33:
score: 0
Accepted
time: 1ms
memory: 3584kb
input:
324852814
output:
-1
result:
ok single line: '-1'
Test #34:
score: 0
Accepted
time: 0ms
memory: 3612kb
input:
3675825
output:
-1
result:
ok single line: '-1'
Test #35:
score: 0
Accepted
time: 0ms
memory: 3524kb
input:
59900148
output:
-1
result:
ok single line: '-1'
Test #36:
score: 0
Accepted
time: 0ms
memory: 3784kb
input:
53150292
output:
-1
result:
ok single line: '-1'
Test #37:
score: 0
Accepted
time: 0ms
memory: 3484kb
input:
194354668
output:
-1
result:
ok single line: '-1'
Test #38:
score: 0
Accepted
time: 1ms
memory: 3584kb
input:
72185553
output:
-1
result:
ok single line: '-1'
Test #39:
score: 0
Accepted
time: 0ms
memory: 3580kb
input:
423042624
output:
-1
result:
ok single line: '-1'
Test #40:
score: 0
Accepted
time: 0ms
memory: 3832kb
input:
1225588
output:
-1
result:
ok single line: '-1'
Test #41:
score: 0
Accepted
time: 0ms
memory: 3580kb
input:
144315184
output:
-1
result:
ok single line: '-1'
Test #42:
score: 0
Accepted
time: 1ms
memory: 3760kb
input:
170662393
output:
-1
result:
ok single line: '-1'
Test #43:
score: 0
Accepted
time: 1ms
memory: 3780kb
input:
4746825
output:
-1
result:
ok single line: '-1'
Test #44:
score: 0
Accepted
time: 0ms
memory: 3524kb
input:
429865917
output:
-1
result:
ok single line: '-1'
Test #45:
score: 0
Accepted
time: 0ms
memory: 3772kb
input:
119075974
output:
-1
result:
ok single line: '-1'
Test #46:
score: -100
Wrong Answer
time: 0ms
memory: 3548kb
input:
82251853
output:
20160
result:
wrong answer 1st lines differ - expected: '5040', found: '20160'