QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#201465 | #1837. Hamiltonian | isaunoya | AC ✓ | 1ms | 3868kb | C++23 | 1.1kb | 2023-10-05 14:30:52 | 2023-10-05 14:30:52 |
Judging History
answer
#include<iostream>
#include<cstdio>
#include<vector>
using namespace std;
int k;
int main()
{
ios::sync_with_stdio(false);
cin.tie(nullptr),cout.tie(nullptr);
cin>>k;
if(k==1)
{
cout<<"2 1\n1 2";
return 0;
}
if(k==2)
{
cout<<"4 4\n1 2\n1 3\n2 3\n3 4";
return 0;
}
if(k<=20)
{
int n=k;
vector<pair<int,int>>edge;
for(int i=2;i<=n;i++)
edge.emplace_back(i,i-1);
edge.emplace_back(n,1);
int m=edge.size();
cout<<n<<" "<<m<<"\n";
for(auto [u,v]:edge)
cout<<u<<" "<<v<<"\n";
return 0;
}
for(int a=3;a<=20;a++)
for(int b=1;a+b<=20;b++)
if((a+4)*(a-1)/2+b-1-1==k)
{
vector<pair<int,int>>edge;
int n=a+b;
for(int i=1;i<=a;i++)
for(int j=i+1;j<=a;j++)
edge.emplace_back(i,j);
for(int j=a+1;j<=a+b;j++)
edge.emplace_back(j,j-1);
edge.emplace_back(a+b,1);
int m=edge.size();
cout<<n<<" "<<m<<"\n";
for(auto [u,v]:edge)
cout<<u<<" "<<v<<"\n";
return 0;
}
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 0ms
memory: 3656kb
input:
1
output:
2 1 1 2
result:
ok correct
Test #2:
score: 0
Accepted
time: 0ms
memory: 3792kb
input:
2
output:
4 4 1 2 1 3 2 3 3 4
result:
ok correct
Test #3:
score: 0
Accepted
time: 0ms
memory: 3624kb
input:
3
output:
3 3 2 1 3 2 3 1
result:
ok correct
Test #4:
score: 0
Accepted
time: 0ms
memory: 3788kb
input:
4
output:
4 4 2 1 3 2 4 3 4 1
result:
ok correct
Test #5:
score: 0
Accepted
time: 0ms
memory: 3820kb
input:
5
output:
5 5 2 1 3 2 4 3 5 4 5 1
result:
ok correct
Test #6:
score: 0
Accepted
time: 1ms
memory: 3556kb
input:
6
output:
6 6 2 1 3 2 4 3 5 4 6 5 6 1
result:
ok correct
Test #7:
score: 0
Accepted
time: 0ms
memory: 3560kb
input:
7
output:
7 7 2 1 3 2 4 3 5 4 6 5 7 6 7 1
result:
ok correct
Test #8:
score: 0
Accepted
time: 0ms
memory: 3600kb
input:
8
output:
8 8 2 1 3 2 4 3 5 4 6 5 7 6 8 7 8 1
result:
ok correct
Test #9:
score: 0
Accepted
time: 0ms
memory: 3624kb
input:
9
output:
9 9 2 1 3 2 4 3 5 4 6 5 7 6 8 7 9 8 9 1
result:
ok correct
Test #10:
score: 0
Accepted
time: 0ms
memory: 3848kb
input:
10
output:
10 10 2 1 3 2 4 3 5 4 6 5 7 6 8 7 9 8 10 9 10 1
result:
ok correct
Test #11:
score: 0
Accepted
time: 0ms
memory: 3628kb
input:
11
output:
11 11 2 1 3 2 4 3 5 4 6 5 7 6 8 7 9 8 10 9 11 10 11 1
result:
ok correct
Test #12:
score: 0
Accepted
time: 0ms
memory: 3632kb
input:
12
output:
12 12 2 1 3 2 4 3 5 4 6 5 7 6 8 7 9 8 10 9 11 10 12 11 12 1
result:
ok correct
Test #13:
score: 0
Accepted
time: 0ms
memory: 3848kb
input:
13
output:
13 13 2 1 3 2 4 3 5 4 6 5 7 6 8 7 9 8 10 9 11 10 12 11 13 12 13 1
result:
ok correct
Test #14:
score: 0
Accepted
time: 0ms
memory: 3816kb
input:
14
output:
14 14 2 1 3 2 4 3 5 4 6 5 7 6 8 7 9 8 10 9 11 10 12 11 13 12 14 13 14 1
result:
ok correct
Test #15:
score: 0
Accepted
time: 0ms
memory: 3600kb
input:
15
output:
15 15 2 1 3 2 4 3 5 4 6 5 7 6 8 7 9 8 10 9 11 10 12 11 13 12 14 13 15 14 15 1
result:
ok correct
Test #16:
score: 0
Accepted
time: 0ms
memory: 3560kb
input:
16
output:
16 16 2 1 3 2 4 3 5 4 6 5 7 6 8 7 9 8 10 9 11 10 12 11 13 12 14 13 15 14 16 15 16 1
result:
ok correct
Test #17:
score: 0
Accepted
time: 0ms
memory: 3852kb
input:
17
output:
17 17 2 1 3 2 4 3 5 4 6 5 7 6 8 7 9 8 10 9 11 10 12 11 13 12 14 13 15 14 16 15 17 16 17 1
result:
ok correct
Test #18:
score: 0
Accepted
time: 0ms
memory: 3856kb
input:
18
output:
18 18 2 1 3 2 4 3 5 4 6 5 7 6 8 7 9 8 10 9 11 10 12 11 13 12 14 13 15 14 16 15 17 16 18 17 18 1
result:
ok correct
Test #19:
score: 0
Accepted
time: 0ms
memory: 3784kb
input:
19
output:
19 19 2 1 3 2 4 3 5 4 6 5 7 6 8 7 9 8 10 9 11 10 12 11 13 12 14 13 15 14 16 15 17 16 18 17 19 18 19 1
result:
ok correct
Test #20:
score: 0
Accepted
time: 0ms
memory: 3868kb
input:
20
output:
20 20 2 1 3 2 4 3 5 4 6 5 7 6 8 7 9 8 10 9 11 10 12 11 13 12 14 13 15 14 16 15 17 16 18 17 19 18 20 19 20 1
result:
ok correct
Test #21:
score: 0
Accepted
time: 0ms
memory: 3556kb
input:
21
output:
19 20 1 2 1 3 2 3 4 3 5 4 6 5 7 6 8 7 9 8 10 9 11 10 12 11 13 12 14 13 15 14 16 15 17 16 18 17 19 18 19 1
result:
ok correct
Test #22:
score: 0
Accepted
time: 0ms
memory: 3852kb
input:
22
output:
20 21 1 2 1 3 2 3 4 3 5 4 6 5 7 6 8 7 9 8 10 9 11 10 12 11 13 12 14 13 15 14 16 15 17 16 18 17 19 18 20 19 20 1
result:
ok correct
Test #23:
score: 0
Accepted
time: 0ms
memory: 3560kb
input:
23
output:
17 20 1 2 1 3 1 4 2 3 2 4 3 4 5 4 6 5 7 6 8 7 9 8 10 9 11 10 12 11 13 12 14 13 15 14 16 15 17 16 17 1
result:
ok correct
Test #24:
score: 0
Accepted
time: 0ms
memory: 3560kb
input:
24
output:
18 21 1 2 1 3 1 4 2 3 2 4 3 4 5 4 6 5 7 6 8 7 9 8 10 9 11 10 12 11 13 12 14 13 15 14 16 15 17 16 18 17 18 1
result:
ok correct
Test #25:
score: 0
Accepted
time: 0ms
memory: 3864kb
input:
25
output:
19 22 1 2 1 3 1 4 2 3 2 4 3 4 5 4 6 5 7 6 8 7 9 8 10 9 11 10 12 11 13 12 14 13 15 14 16 15 17 16 18 17 19 18 19 1
result:
ok correct
Test #26:
score: 0
Accepted
time: 0ms
memory: 3616kb
input:
26
output:
20 23 1 2 1 3 1 4 2 3 2 4 3 4 5 4 6 5 7 6 8 7 9 8 10 9 11 10 12 11 13 12 14 13 15 14 16 15 17 16 18 17 19 18 20 19 20 1
result:
ok correct
Test #27:
score: 0
Accepted
time: 0ms
memory: 3868kb
input:
27
output:
16 22 1 2 1 3 1 4 1 5 2 3 2 4 2 5 3 4 3 5 4 5 6 5 7 6 8 7 9 8 10 9 11 10 12 11 13 12 14 13 15 14 16 15 16 1
result:
ok correct
Test #28:
score: 0
Accepted
time: 0ms
memory: 3564kb
input:
28
output:
17 23 1 2 1 3 1 4 1 5 2 3 2 4 2 5 3 4 3 5 4 5 6 5 7 6 8 7 9 8 10 9 11 10 12 11 13 12 14 13 15 14 16 15 17 16 17 1
result:
ok correct
Test #29:
score: 0
Accepted
time: 1ms
memory: 3620kb
input:
29
output:
18 24 1 2 1 3 1 4 1 5 2 3 2 4 2 5 3 4 3 5 4 5 6 5 7 6 8 7 9 8 10 9 11 10 12 11 13 12 14 13 15 14 16 15 17 16 18 17 18 1
result:
ok correct
Test #30:
score: 0
Accepted
time: 0ms
memory: 3512kb
input:
30
output:
19 25 1 2 1 3 1 4 1 5 2 3 2 4 2 5 3 4 3 5 4 5 6 5 7 6 8 7 9 8 10 9 11 10 12 11 13 12 14 13 15 14 16 15 17 16 18 17 19 18 19 1
result:
ok correct
Test #31:
score: 0
Accepted
time: 0ms
memory: 3628kb
input:
31
output:
20 26 1 2 1 3 1 4 1 5 2 3 2 4 2 5 3 4 3 5 4 5 6 5 7 6 8 7 9 8 10 9 11 10 12 11 13 12 14 13 15 14 16 15 17 16 18 17 19 18 20 19 20 1
result:
ok correct
Test #32:
score: 0
Accepted
time: 0ms
memory: 3616kb
input:
32
output:
15 25 1 2 1 3 1 4 1 5 1 6 2 3 2 4 2 5 2 6 3 4 3 5 3 6 4 5 4 6 5 6 7 6 8 7 9 8 10 9 11 10 12 11 13 12 14 13 15 14 15 1
result:
ok correct
Test #33:
score: 0
Accepted
time: 0ms
memory: 3792kb
input:
33
output:
16 26 1 2 1 3 1 4 1 5 1 6 2 3 2 4 2 5 2 6 3 4 3 5 3 6 4 5 4 6 5 6 7 6 8 7 9 8 10 9 11 10 12 11 13 12 14 13 15 14 16 15 16 1
result:
ok correct
Test #34:
score: 0
Accepted
time: 0ms
memory: 3592kb
input:
34
output:
17 27 1 2 1 3 1 4 1 5 1 6 2 3 2 4 2 5 2 6 3 4 3 5 3 6 4 5 4 6 5 6 7 6 8 7 9 8 10 9 11 10 12 11 13 12 14 13 15 14 16 15 17 16 17 1
result:
ok correct
Test #35:
score: 0
Accepted
time: 0ms
memory: 3600kb
input:
35
output:
18 28 1 2 1 3 1 4 1 5 1 6 2 3 2 4 2 5 2 6 3 4 3 5 3 6 4 5 4 6 5 6 7 6 8 7 9 8 10 9 11 10 12 11 13 12 14 13 15 14 16 15 17 16 18 17 18 1
result:
ok correct
Test #36:
score: 0
Accepted
time: 1ms
memory: 3556kb
input:
36
output:
19 29 1 2 1 3 1 4 1 5 1 6 2 3 2 4 2 5 2 6 3 4 3 5 3 6 4 5 4 6 5 6 7 6 8 7 9 8 10 9 11 10 12 11 13 12 14 13 15 14 16 15 17 16 18 17 19 18 19 1
result:
ok correct
Test #37:
score: 0
Accepted
time: 0ms
memory: 3864kb
input:
37
output:
20 30 1 2 1 3 1 4 1 5 1 6 2 3 2 4 2 5 2 6 3 4 3 5 3 6 4 5 4 6 5 6 7 6 8 7 9 8 10 9 11 10 12 11 13 12 14 13 15 14 16 15 17 16 18 17 19 18 20 19 20 1
result:
ok correct
Test #38:
score: 0
Accepted
time: 0ms
memory: 3556kb
input:
38
output:
14 29 1 2 1 3 1 4 1 5 1 6 1 7 2 3 2 4 2 5 2 6 2 7 3 4 3 5 3 6 3 7 4 5 4 6 4 7 5 6 5 7 6 7 8 7 9 8 10 9 11 10 12 11 13 12 14 13 14 1
result:
ok correct
Test #39:
score: 0
Accepted
time: 0ms
memory: 3508kb
input:
39
output:
15 30 1 2 1 3 1 4 1 5 1 6 1 7 2 3 2 4 2 5 2 6 2 7 3 4 3 5 3 6 3 7 4 5 4 6 4 7 5 6 5 7 6 7 8 7 9 8 10 9 11 10 12 11 13 12 14 13 15 14 15 1
result:
ok correct
Test #40:
score: 0
Accepted
time: 1ms
memory: 3828kb
input:
40
output:
16 31 1 2 1 3 1 4 1 5 1 6 1 7 2 3 2 4 2 5 2 6 2 7 3 4 3 5 3 6 3 7 4 5 4 6 4 7 5 6 5 7 6 7 8 7 9 8 10 9 11 10 12 11 13 12 14 13 15 14 16 15 16 1
result:
ok correct
Test #41:
score: 0
Accepted
time: 0ms
memory: 3568kb
input:
41
output:
17 32 1 2 1 3 1 4 1 5 1 6 1 7 2 3 2 4 2 5 2 6 2 7 3 4 3 5 3 6 3 7 4 5 4 6 4 7 5 6 5 7 6 7 8 7 9 8 10 9 11 10 12 11 13 12 14 13 15 14 16 15 17 16 17 1
result:
ok correct
Test #42:
score: 0
Accepted
time: 0ms
memory: 3624kb
input:
42
output:
18 33 1 2 1 3 1 4 1 5 1 6 1 7 2 3 2 4 2 5 2 6 2 7 3 4 3 5 3 6 3 7 4 5 4 6 4 7 5 6 5 7 6 7 8 7 9 8 10 9 11 10 12 11 13 12 14 13 15 14 16 15 17 16 18 17 18 1
result:
ok correct
Test #43:
score: 0
Accepted
time: 0ms
memory: 3512kb
input:
43
output:
19 34 1 2 1 3 1 4 1 5 1 6 1 7 2 3 2 4 2 5 2 6 2 7 3 4 3 5 3 6 3 7 4 5 4 6 4 7 5 6 5 7 6 7 8 7 9 8 10 9 11 10 12 11 13 12 14 13 15 14 16 15 17 16 18 17 19 18 19 1
result:
ok correct
Test #44:
score: 0
Accepted
time: 0ms
memory: 3564kb
input:
44
output:
20 35 1 2 1 3 1 4 1 5 1 6 1 7 2 3 2 4 2 5 2 6 2 7 3 4 3 5 3 6 3 7 4 5 4 6 4 7 5 6 5 7 6 7 8 7 9 8 10 9 11 10 12 11 13 12 14 13 15 14 16 15 17 16 18 17 19 18 20 19 20 1
result:
ok correct
Test #45:
score: 0
Accepted
time: 0ms
memory: 3556kb
input:
45
output:
13 34 1 2 1 3 1 4 1 5 1 6 1 7 1 8 2 3 2 4 2 5 2 6 2 7 2 8 3 4 3 5 3 6 3 7 3 8 4 5 4 6 4 7 4 8 5 6 5 7 5 8 6 7 6 8 7 8 9 8 10 9 11 10 12 11 13 12 13 1
result:
ok correct
Test #46:
score: 0
Accepted
time: 0ms
memory: 3624kb
input:
46
output:
14 35 1 2 1 3 1 4 1 5 1 6 1 7 1 8 2 3 2 4 2 5 2 6 2 7 2 8 3 4 3 5 3 6 3 7 3 8 4 5 4 6 4 7 4 8 5 6 5 7 5 8 6 7 6 8 7 8 9 8 10 9 11 10 12 11 13 12 14 13 14 1
result:
ok correct
Test #47:
score: 0
Accepted
time: 0ms
memory: 3864kb
input:
47
output:
15 36 1 2 1 3 1 4 1 5 1 6 1 7 1 8 2 3 2 4 2 5 2 6 2 7 2 8 3 4 3 5 3 6 3 7 3 8 4 5 4 6 4 7 4 8 5 6 5 7 5 8 6 7 6 8 7 8 9 8 10 9 11 10 12 11 13 12 14 13 15 14 15 1
result:
ok correct
Test #48:
score: 0
Accepted
time: 0ms
memory: 3624kb
input:
48
output:
16 37 1 2 1 3 1 4 1 5 1 6 1 7 1 8 2 3 2 4 2 5 2 6 2 7 2 8 3 4 3 5 3 6 3 7 3 8 4 5 4 6 4 7 4 8 5 6 5 7 5 8 6 7 6 8 7 8 9 8 10 9 11 10 12 11 13 12 14 13 15 14 16 15 16 1
result:
ok correct
Test #49:
score: 0
Accepted
time: 0ms
memory: 3664kb
input:
49
output:
17 38 1 2 1 3 1 4 1 5 1 6 1 7 1 8 2 3 2 4 2 5 2 6 2 7 2 8 3 4 3 5 3 6 3 7 3 8 4 5 4 6 4 7 4 8 5 6 5 7 5 8 6 7 6 8 7 8 9 8 10 9 11 10 12 11 13 12 14 13 15 14 16 15 17 16 17 1
result:
ok correct
Test #50:
score: 0
Accepted
time: 1ms
memory: 3508kb
input:
50
output:
18 39 1 2 1 3 1 4 1 5 1 6 1 7 1 8 2 3 2 4 2 5 2 6 2 7 2 8 3 4 3 5 3 6 3 7 3 8 4 5 4 6 4 7 4 8 5 6 5 7 5 8 6 7 6 8 7 8 9 8 10 9 11 10 12 11 13 12 14 13 15 14 16 15 17 16 18 17 18 1
result:
ok correct
Test #51:
score: 0
Accepted
time: 0ms
memory: 3624kb
input:
51
output:
19 40 1 2 1 3 1 4 1 5 1 6 1 7 1 8 2 3 2 4 2 5 2 6 2 7 2 8 3 4 3 5 3 6 3 7 3 8 4 5 4 6 4 7 4 8 5 6 5 7 5 8 6 7 6 8 7 8 9 8 10 9 11 10 12 11 13 12 14 13 15 14 16 15 17 16 18 17 19 18 19 1
result:
ok correct
Test #52:
score: 0
Accepted
time: 0ms
memory: 3624kb
input:
52
output:
20 41 1 2 1 3 1 4 1 5 1 6 1 7 1 8 2 3 2 4 2 5 2 6 2 7 2 8 3 4 3 5 3 6 3 7 3 8 4 5 4 6 4 7 4 8 5 6 5 7 5 8 6 7 6 8 7 8 9 8 10 9 11 10 12 11 13 12 14 13 15 14 16 15 17 16 18 17 19 18 20 19 20 1
result:
ok correct
Test #53:
score: 0
Accepted
time: 0ms
memory: 3860kb
input:
53
output:
12 40 1 2 1 3 1 4 1 5 1 6 1 7 1 8 1 9 2 3 2 4 2 5 2 6 2 7 2 8 2 9 3 4 3 5 3 6 3 7 3 8 3 9 4 5 4 6 4 7 4 8 4 9 5 6 5 7 5 8 5 9 6 7 6 8 6 9 7 8 7 9 8 9 10 9 11 10 12 11 12 1
result:
ok correct
Test #54:
score: 0
Accepted
time: 0ms
memory: 3568kb
input:
54
output:
13 41 1 2 1 3 1 4 1 5 1 6 1 7 1 8 1 9 2 3 2 4 2 5 2 6 2 7 2 8 2 9 3 4 3 5 3 6 3 7 3 8 3 9 4 5 4 6 4 7 4 8 4 9 5 6 5 7 5 8 5 9 6 7 6 8 6 9 7 8 7 9 8 9 10 9 11 10 12 11 13 12 13 1
result:
ok correct
Test #55:
score: 0
Accepted
time: 0ms
memory: 3568kb
input:
55
output:
14 42 1 2 1 3 1 4 1 5 1 6 1 7 1 8 1 9 2 3 2 4 2 5 2 6 2 7 2 8 2 9 3 4 3 5 3 6 3 7 3 8 3 9 4 5 4 6 4 7 4 8 4 9 5 6 5 7 5 8 5 9 6 7 6 8 6 9 7 8 7 9 8 9 10 9 11 10 12 11 13 12 14 13 14 1
result:
ok correct
Test #56:
score: 0
Accepted
time: 0ms
memory: 3452kb
input:
56
output:
15 43 1 2 1 3 1 4 1 5 1 6 1 7 1 8 1 9 2 3 2 4 2 5 2 6 2 7 2 8 2 9 3 4 3 5 3 6 3 7 3 8 3 9 4 5 4 6 4 7 4 8 4 9 5 6 5 7 5 8 5 9 6 7 6 8 6 9 7 8 7 9 8 9 10 9 11 10 12 11 13 12 14 13 15 14 15 1
result:
ok correct
Test #57:
score: 0
Accepted
time: 0ms
memory: 3628kb
input:
57
output:
16 44 1 2 1 3 1 4 1 5 1 6 1 7 1 8 1 9 2 3 2 4 2 5 2 6 2 7 2 8 2 9 3 4 3 5 3 6 3 7 3 8 3 9 4 5 4 6 4 7 4 8 4 9 5 6 5 7 5 8 5 9 6 7 6 8 6 9 7 8 7 9 8 9 10 9 11 10 12 11 13 12 14 13 15 14 16 15 16 1
result:
ok correct
Test #58:
score: 0
Accepted
time: 0ms
memory: 3624kb
input:
58
output:
17 45 1 2 1 3 1 4 1 5 1 6 1 7 1 8 1 9 2 3 2 4 2 5 2 6 2 7 2 8 2 9 3 4 3 5 3 6 3 7 3 8 3 9 4 5 4 6 4 7 4 8 4 9 5 6 5 7 5 8 5 9 6 7 6 8 6 9 7 8 7 9 8 9 10 9 11 10 12 11 13 12 14 13 15 14 16 15 17 16 17 1
result:
ok correct
Test #59:
score: 0
Accepted
time: 0ms
memory: 3556kb
input:
59
output:
18 46 1 2 1 3 1 4 1 5 1 6 1 7 1 8 1 9 2 3 2 4 2 5 2 6 2 7 2 8 2 9 3 4 3 5 3 6 3 7 3 8 3 9 4 5 4 6 4 7 4 8 4 9 5 6 5 7 5 8 5 9 6 7 6 8 6 9 7 8 7 9 8 9 10 9 11 10 12 11 13 12 14 13 15 14 16 15 17 16 18 17 18 1
result:
ok correct
Test #60:
score: 0
Accepted
time: 0ms
memory: 3556kb
input:
60
output:
19 47 1 2 1 3 1 4 1 5 1 6 1 7 1 8 1 9 2 3 2 4 2 5 2 6 2 7 2 8 2 9 3 4 3 5 3 6 3 7 3 8 3 9 4 5 4 6 4 7 4 8 4 9 5 6 5 7 5 8 5 9 6 7 6 8 6 9 7 8 7 9 8 9 10 9 11 10 12 11 13 12 14 13 15 14 16 15 17 16 18 17 19 18 19 1
result:
ok correct