QOJ.ac

QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#201465#1837. HamiltonianisaunoyaAC ✓1ms3868kbC++231.1kb2023-10-05 14:30:522023-10-05 14:30:52

Judging History

你现在查看的是最新测评结果

  • [2023-10-05 14:30:52]
  • 评测
  • 测评结果:AC
  • 用时:1ms
  • 内存:3868kb
  • [2023-10-05 14:30:52]
  • 提交

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