QOJ.ac

QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#20947#1837. Hamiltonianconqueror_of_zky#AC ✓4ms3720kbC++141.1kb2022-02-21 18:54:412022-05-03 12:05:13

Judging History

This is the latest submission verdict.

  • [2023-08-10 23:21:45]
  • System Update: QOJ starts to keep a history of the judgings of all the submissions.
  • [2022-05-03 12:05:13]
  • Judged
  • Verdict: AC
  • Time: 4ms
  • Memory: 3720kb
  • [2022-02-21 18:54:41]
  • Submitted

answer

#include <bits/stdc++.h>
//#define int long long
#define ll long long
#define db double
#define fi first
#define se second
#define pii pair<int,int>
#define vi vector<int>

using namespace std;

int K;  
int vis[100]; 
int main() {
	cin>>K;
	if (K==1) {
		cout<<2<<' '<<1<<'\n';
		cout<<1<<' '<<2<<'\n';
		return 0; 
	}
	if (K==2) {
		puts("4 4\n1 2\n1 3\n2 3\n3 4\n");
		return 0; 
	}
	if (K<=20) {
		cout<<K<<' '<<K<<'\n';
		for (int i=1;i<=K;i++) {
			if (i==K) cout<<K<<' '<<1<<'\n';
			else cout<<i<<' '<<i+1<<'\n'; 
		}
		return 0; 
	}
	for (int n=3;n<=20;n++) {
		for (int m=2;m<=20;m++) {
			if (n+m>20) break ; 
			int s=n*(n-1)/2-1; 
			s+=n-1+n-1;
			s+=m-1; 
			vis[s]=1; 
			if (s==K) {
				int M=n*(n-1)/2+m+1;
				cout<<n+m<<' '<<M<<'\n';
				for (int i=1;i<=n;i++) {
					for (int j=i+1;j<=n;j++) {
						cout<<i<<' '<<j<<'\n'; 
					}
				}
				cout<<n+1<<' '<<1<<'\n';
				cout<<n+m<<' '<<2<<'\n';
				for (int i=1;i<m;i++) cout<<n+i<<' '<<n+i+1<<'\n'; 
				return 0; 
			}
		}
	}
	/*
	for (int i=21;i<=60;i++) {
		cout<<vis[i]<<'\n';
		if (vis[i]==0) puts("F"); 
    }
	*/
	return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 0ms
memory: 3568kb

input:

1

output:

2 1
1 2

result:

ok correct

Test #2:

score: 0
Accepted
time: 1ms
memory: 3452kb

input:

2

output:

4 4
1 2
1 3
2 3
3 4


result:

ok correct

Test #3:

score: 0
Accepted
time: 3ms
memory: 3540kb

input:

3

output:

3 3
1 2
2 3
3 1

result:

ok correct

Test #4:

score: 0
Accepted
time: 2ms
memory: 3720kb

input:

4

output:

4 4
1 2
2 3
3 4
4 1

result:

ok correct

Test #5:

score: 0
Accepted
time: 3ms
memory: 3656kb

input:

5

output:

5 5
1 2
2 3
3 4
4 5
5 1

result:

ok correct

Test #6:

score: 0
Accepted
time: 3ms
memory: 3568kb

input:

6

output:

6 6
1 2
2 3
3 4
4 5
5 6
6 1

result:

ok correct

Test #7:

score: 0
Accepted
time: 3ms
memory: 3676kb

input:

7

output:

7 7
1 2
2 3
3 4
4 5
5 6
6 7
7 1

result:

ok correct

Test #8:

score: 0
Accepted
time: 3ms
memory: 3540kb

input:

8

output:

8 8
1 2
2 3
3 4
4 5
5 6
6 7
7 8
8 1

result:

ok correct

Test #9:

score: 0
Accepted
time: 3ms
memory: 3716kb

input:

9

output:

9 9
1 2
2 3
3 4
4 5
5 6
6 7
7 8
8 9
9 1

result:

ok correct

Test #10:

score: 0
Accepted
time: 1ms
memory: 3596kb

input:

10

output:

10 10
1 2
2 3
3 4
4 5
5 6
6 7
7 8
8 9
9 10
10 1

result:

ok correct

Test #11:

score: 0
Accepted
time: 2ms
memory: 3584kb

input:

11

output:

11 11
1 2
2 3
3 4
4 5
5 6
6 7
7 8
8 9
9 10
10 11
11 1

result:

ok correct

Test #12:

score: 0
Accepted
time: 0ms
memory: 3568kb

input:

12

output:

12 12
1 2
2 3
3 4
4 5
5 6
6 7
7 8
8 9
9 10
10 11
11 12
12 1

result:

ok correct

Test #13:

score: 0
Accepted
time: 1ms
memory: 3648kb

input:

13

output:

13 13
1 2
2 3
3 4
4 5
5 6
6 7
7 8
8 9
9 10
10 11
11 12
12 13
13 1

result:

ok correct

Test #14:

score: 0
Accepted
time: 1ms
memory: 3568kb

input:

14

output:

14 14
1 2
2 3
3 4
4 5
5 6
6 7
7 8
8 9
9 10
10 11
11 12
12 13
13 14
14 1

result:

ok correct

Test #15:

score: 0
Accepted
time: 3ms
memory: 3664kb

input:

15

output:

15 15
1 2
2 3
3 4
4 5
5 6
6 7
7 8
8 9
9 10
10 11
11 12
12 13
13 14
14 15
15 1

result:

ok correct

Test #16:

score: 0
Accepted
time: 1ms
memory: 3676kb

input:

16

output:

16 16
1 2
2 3
3 4
4 5
5 6
6 7
7 8
8 9
9 10
10 11
11 12
12 13
13 14
14 15
15 16
16 1

result:

ok correct

Test #17:

score: 0
Accepted
time: 3ms
memory: 3516kb

input:

17

output:

17 17
1 2
2 3
3 4
4 5
5 6
6 7
7 8
8 9
9 10
10 11
11 12
12 13
13 14
14 15
15 16
16 17
17 1

result:

ok correct

Test #18:

score: 0
Accepted
time: 3ms
memory: 3536kb

input:

18

output:

18 18
1 2
2 3
3 4
4 5
5 6
6 7
7 8
8 9
9 10
10 11
11 12
12 13
13 14
14 15
15 16
16 17
17 18
18 1

result:

ok correct

Test #19:

score: 0
Accepted
time: 0ms
memory: 3676kb

input:

19

output:

19 19
1 2
2 3
3 4
4 5
5 6
6 7
7 8
8 9
9 10
10 11
11 12
12 13
13 14
14 15
15 16
16 17
17 18
18 19
19 1

result:

ok correct

Test #20:

score: 0
Accepted
time: 3ms
memory: 3452kb

input:

20

output:

20 20
1 2
2 3
3 4
4 5
5 6
6 7
7 8
8 9
9 10
10 11
11 12
12 13
13 14
14 15
15 16
16 17
17 18
18 19
19 20
20 1

result:

ok correct

Test #21:

score: 0
Accepted
time: 2ms
memory: 3520kb

input:

21

output:

19 20
1 2
1 3
2 3
4 1
19 2
4 5
5 6
6 7
7 8
8 9
9 10
10 11
11 12
12 13
13 14
14 15
15 16
16 17
17 18
18 19

result:

ok correct

Test #22:

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

input:

22

output:

20 21
1 2
1 3
2 3
4 1
20 2
4 5
5 6
6 7
7 8
8 9
9 10
10 11
11 12
12 13
13 14
14 15
15 16
16 17
17 18
18 19
19 20

result:

ok correct

Test #23:

score: 0
Accepted
time: 1ms
memory: 3584kb

input:

23

output:

17 20
1 2
1 3
1 4
2 3
2 4
3 4
5 1
17 2
5 6
6 7
7 8
8 9
9 10
10 11
11 12
12 13
13 14
14 15
15 16
16 17

result:

ok correct

Test #24:

score: 0
Accepted
time: 4ms
memory: 3520kb

input:

24

output:

18 21
1 2
1 3
1 4
2 3
2 4
3 4
5 1
18 2
5 6
6 7
7 8
8 9
9 10
10 11
11 12
12 13
13 14
14 15
15 16
16 17
17 18

result:

ok correct

Test #25:

score: 0
Accepted
time: 4ms
memory: 3568kb

input:

25

output:

19 22
1 2
1 3
1 4
2 3
2 4
3 4
5 1
19 2
5 6
6 7
7 8
8 9
9 10
10 11
11 12
12 13
13 14
14 15
15 16
16 17
17 18
18 19

result:

ok correct

Test #26:

score: 0
Accepted
time: 3ms
memory: 3648kb

input:

26

output:

20 23
1 2
1 3
1 4
2 3
2 4
3 4
5 1
20 2
5 6
6 7
7 8
8 9
9 10
10 11
11 12
12 13
13 14
14 15
15 16
16 17
17 18
18 19
19 20

result:

ok correct

Test #27:

score: 0
Accepted
time: 3ms
memory: 3648kb

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 1
16 2
6 7
7 8
8 9
9 10
10 11
11 12
12 13
13 14
14 15
15 16

result:

ok correct

Test #28:

score: 0
Accepted
time: 3ms
memory: 3516kb

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 1
17 2
6 7
7 8
8 9
9 10
10 11
11 12
12 13
13 14
14 15
15 16
16 17

result:

ok correct

Test #29:

score: 0
Accepted
time: 3ms
memory: 3520kb

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 1
18 2
6 7
7 8
8 9
9 10
10 11
11 12
12 13
13 14
14 15
15 16
16 17
17 18

result:

ok correct

Test #30:

score: 0
Accepted
time: 2ms
memory: 3568kb

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 1
19 2
6 7
7 8
8 9
9 10
10 11
11 12
12 13
13 14
14 15
15 16
16 17
17 18
18 19

result:

ok correct

Test #31:

score: 0
Accepted
time: 3ms
memory: 3592kb

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 1
20 2
6 7
7 8
8 9
9 10
10 11
11 12
12 13
13 14
14 15
15 16
16 17
17 18
18 19
19 20

result:

ok correct

Test #32:

score: 0
Accepted
time: 2ms
memory: 3568kb

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 1
15 2
7 8
8 9
9 10
10 11
11 12
12 13
13 14
14 15

result:

ok correct

Test #33:

score: 0
Accepted
time: 2ms
memory: 3720kb

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 1
16 2
7 8
8 9
9 10
10 11
11 12
12 13
13 14
14 15
15 16

result:

ok correct

Test #34:

score: 0
Accepted
time: 3ms
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 1
17 2
7 8
8 9
9 10
10 11
11 12
12 13
13 14
14 15
15 16
16 17

result:

ok correct

Test #35:

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

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 1
18 2
7 8
8 9
9 10
10 11
11 12
12 13
13 14
14 15
15 16
16 17
17 18

result:

ok correct

Test #36:

score: 0
Accepted
time: 3ms
memory: 3596kb

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 1
19 2
7 8
8 9
9 10
10 11
11 12
12 13
13 14
14 15
15 16
16 17
17 18
18 19

result:

ok correct

Test #37:

score: 0
Accepted
time: 3ms
memory: 3536kb

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 1
20 2
7 8
8 9
9 10
10 11
11 12
12 13
13 14
14 15
15 16
16 17
17 18
18 19
19 20

result:

ok correct

Test #38:

score: 0
Accepted
time: 3ms
memory: 3592kb

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 1
14 2
8 9
9 10
10 11
11 12
12 13
13 14

result:

ok correct

Test #39:

score: 0
Accepted
time: 2ms
memory: 3584kb

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 1
15 2
8 9
9 10
10 11
11 12
12 13
13 14
14 15

result:

ok correct

Test #40:

score: 0
Accepted
time: 3ms
memory: 3596kb

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 1
16 2
8 9
9 10
10 11
11 12
12 13
13 14
14 15
15 16

result:

ok correct

Test #41:

score: 0
Accepted
time: 0ms
memory: 3656kb

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 1
17 2
8 9
9 10
10 11
11 12
12 13
13 14
14 15
15 16
16 17

result:

ok correct

Test #42:

score: 0
Accepted
time: 2ms
memory: 3452kb

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 1
18 2
8 9
9 10
10 11
11 12
12 13
13 14
14 15
15 16
16 17
17 18

result:

ok correct

Test #43:

score: 0
Accepted
time: 0ms
memory: 3652kb

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 1
19 2
8 9
9 10
10 11
11 12
12 13
13 14
14 15
15 16
16 17
17 18
18 19

result:

ok correct

Test #44:

score: 0
Accepted
time: 3ms
memory: 3560kb

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 1
20 2
8 9
9 10
10 11
11 12
12 13
13 14
14 15
15 16
16 17
17 18
18 19
19 20

result:

ok correct

Test #45:

score: 0
Accepted
time: 1ms
memory: 3664kb

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 1
13 2
9 10
10 11
11 12
12 13

result:

ok correct

Test #46:

score: 0
Accepted
time: 3ms
memory: 3556kb

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 1
14 2
9 10
10 11
11 12
12 13
13 14

result:

ok correct

Test #47:

score: 0
Accepted
time: 2ms
memory: 3648kb

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 1
15 2
9 10
10 11
11 12
12 13
13 14
14 15

result:

ok correct

Test #48:

score: 0
Accepted
time: 3ms
memory: 3676kb

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 1
16 2
9 10
10 11
11 12
12 13
13 14
14 15
15 16

result:

ok correct

Test #49:

score: 0
Accepted
time: 2ms
memory: 3588kb

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 1
17 2
9 10
10 11
11 12
12 13
13 14
14 15
15 16
16 17

result:

ok correct

Test #50:

score: 0
Accepted
time: 3ms
memory: 3656kb

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 1
18 2
9 10
10 11
11 12
12 13
13 14
14 15
15 16
16 17
17 18

result:

ok correct

Test #51:

score: 0
Accepted
time: 1ms
memory: 3592kb

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 1
19 2
9 10
10 11
11 12
12 13
13 14
14 15
15 16
16 17
17 18
18 19

result:

ok correct

Test #52:

score: 0
Accepted
time: 2ms
memory: 3516kb

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 1
20 2
9 10
10 11
11 12
12 13
13 14
14 15
15 16
16 17
17 18
18 19
19 20

result:

ok correct

Test #53:

score: 0
Accepted
time: 0ms
memory: 3720kb

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 1
12 2
10 11
11 12

result:

ok correct

Test #54:

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

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 1
13 2
10 11
11 12
12 13

result:

ok correct

Test #55:

score: 0
Accepted
time: 2ms
memory: 3680kb

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 1
14 2
10 11
11 12
12 13
13 14

result:

ok correct

Test #56:

score: 0
Accepted
time: 1ms
memory: 3536kb

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 1
15 2
10 11
11 12
12 13
13 14
14 15

result:

ok correct

Test #57:

score: 0
Accepted
time: 1ms
memory: 3572kb

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 1
16 2
10 11
11 12
12 13
13 14
14 15
15 16

result:

ok correct

Test #58:

score: 0
Accepted
time: 3ms
memory: 3592kb

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 1
17 2
10 11
11 12
12 13
13 14
14 15
15 16
16 17

result:

ok correct

Test #59:

score: 0
Accepted
time: 3ms
memory: 3540kb

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 1
18 2
10 11
11 12
12 13
13 14
14 15
15 16
16 17
17 18

result:

ok correct

Test #60:

score: 0
Accepted
time: 2ms
memory: 3584kb

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 1
19 2
10 11
11 12
12 13
13 14
14 15
15 16
16 17
17 18
18 19

result:

ok correct