QOJ.ac

QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#471202#1837. HamiltonianGenshinImpactsFaultAC ✓0ms3736kbC++141.9kb2024-07-10 19:14:012024-07-10 19:14:02

Judging History

你现在查看的是最新测评结果

  • [2024-07-10 19:14:02]
  • 评测
  • 测评结果:AC
  • 用时:0ms
  • 内存:3736kb
  • [2024-07-10 19:14:01]
  • 提交

answer

#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
const int N = 100010;
int n;
int a[N], s[N], la;
vector<pair<int, int>> e;

int main() {
	ios::sync_with_stdio(0); cin.tie(nullptr);
	cin >> n;
	if(n == 1) {
		cout << "2 1\n1 2\n"; return 0;
	}
	if(n == 2) {
		cout << "4 4\n1 2\n1 3\n2 3\n3 4\n"; return 0;
	}
	for(int i = 1; i <= n; i++) {
		if(1ll * i * (i - 1) / 2 == n) {
			cout << i << " " << 1ll * i * (i - 1) / 2 << "\n";
			for(int x = 1; x <= i; x++)
				for(int y = x + 1; y <= i; y++) {
					cout << x << " " << y << "\n";
				}
			return 0;
		}
	}
	for(int i = 3; i <= n; i++) {
		if(1ll * i * (i - 1) / 2 - 1 + n == n) {
			cout << i + 1 << " " << 1ll * i * (i - 1) / 2 + 2 << "\n";
			for(int x = 1; x <= i; x++)
				for(int y = x + 1; y <= i; y++) {
					cout << x << " " << y << "\n";
				}
			cout << 1 << " " << i + 1 << "\n";
			cout << i << " " << i + 1 << "\n";
			return 0;
		}
	}
	if(n <= 20) {
		cout << n << " " << n << "\n";
		for(int i = 1; i <= n; i++) {
			cout << i << " " << i % n + 1 << "\n";
		}
		return 0;
	}
	for(int t = n; t;) {
		if(t <= 7) {
			--t, a[++la] = 1;
			if(!t) break;
		}
		for(int i = n; i >= 3; i--) {
			if(1ll * i * (i - 1) / 2 + (i - 2) * 2 + 2 - 1 + 2 > t) continue;
			a[++la] = i, a[++la] = 1;
			t -= 1ll * i * (i - 1) / 2 + (i - 2) * 2 + 2 - 1;
			break;
		}
	}
	// for(int i = 1; i <= la; i++) cout << " " << a[i]; cout << "\n";
	for(int i = 1; i <= la; i++) s[i] = a[i] + s[i - 1];
	for(int i = 1; i <= la; i++) {
		for(int x = s[i - 1] + 1; x <= s[i]; x++)
			for(int y = x + 1; y <= s[i]; y++)
				e.push_back({x, y});
	}
	for(int i = 1; i <= la; i++) {
		if(i < la) {
			e.push_back({s[i], s[i] + 1});
		}
		else {
			e.push_back({s[i], 1});
		}
	}
	cout << s[la] << " " << e.size() << "\n";
	for(auto v : e) cout << v.first << " " << v.second << "\n";
	return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 0ms
memory: 3596kb

input:

1

output:

2 1
1 2

result:

ok correct

Test #2:

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

input:

2

output:

4 4
1 2
1 3
2 3
3 4

result:

ok correct

Test #3:

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

input:

3

output:

3 3
1 2
1 3
2 3

result:

ok correct

Test #4:

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

input:

4

output:

4 4
1 2
2 3
3 4
4 1

result:

ok correct

Test #5:

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

input:

5

output:

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

result:

ok correct

Test #6:

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

input:

6

output:

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

result:

ok correct

Test #7:

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

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: 0ms
memory: 3592kb

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: 0ms
memory: 3596kb

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: 0ms
memory: 3596kb

input:

10

output:

5 10
1 2
1 3
1 4
1 5
2 3
2 4
2 5
3 4
3 5
4 5

result:

ok correct

Test #11:

score: 0
Accepted
time: 0ms
memory: 3660kb

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: 3656kb

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: 0ms
memory: 3656kb

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: 0ms
memory: 3640kb

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: 0ms
memory: 3656kb

input:

15

output:

6 15
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

result:

ok correct

Test #16:

score: 0
Accepted
time: 0ms
memory: 3672kb

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: 0ms
memory: 3640kb

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: 0ms
memory: 3660kb

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: 3680kb

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: 0ms
memory: 3588kb

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: 0ms
memory: 3596kb

input:

21

output:

7 21
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

result:

ok correct

Test #22:

score: 0
Accepted
time: 0ms
memory: 3660kb

input:

22

output:

11 17
1 2
1 3
1 4
1 5
2 3
2 4
2 5
3 4
3 5
4 5
5 6
6 7
7 8
8 9
9 10
10 11
11 1

result:

ok correct

Test #23:

score: 0
Accepted
time: 0ms
memory: 3640kb

input:

23

output:

12 18
1 2
1 3
1 4
1 5
2 3
2 4
2 5
3 4
3 5
4 5
5 6
6 7
7 8
8 9
9 10
10 11
11 12
12 1

result:

ok correct

Test #24:

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

input:

24

output:

13 19
1 2
1 3
1 4
1 5
2 3
2 4
2 5
3 4
3 5
4 5
5 6
6 7
7 8
8 9
9 10
10 11
11 12
12 13
13 1

result:

ok correct

Test #25:

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

input:

25

output:

12 19
1 2
1 3
1 4
1 5
2 3
2 4
2 5
3 4
3 5
4 5
7 8
7 9
8 9
5 6
6 7
9 10
10 11
11 12
12 1

result:

ok correct

Test #26:

score: 0
Accepted
time: 0ms
memory: 3660kb

input:

26

output:

9 19
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
6 7
7 8
8 9
9 1

result:

ok correct

Test #27:

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

input:

27

output:

10 20
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
6 7
7 8
8 9
9 10
10 1

result:

ok correct

Test #28:

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

input:

28

output:

8 28
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

result:

ok correct

Test #29:

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

input:

29

output:

12 22
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
6 7
7 8
8 9
9 10
10 11
11 12
12 1

result:

ok correct

Test #30:

score: 0
Accepted
time: 0ms
memory: 3644kb

input:

30

output:

13 23
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
6 7
7 8
8 9
9 10
10 11
11 12
12 13
13 1

result:

ok correct

Test #31:

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

input:

31

output:

14 24
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
6 7
7 8
8 9
9 10
10 11
11 12
12 13
13 14
14 1

result:

ok correct

Test #32:

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

input:

32

output:

13 24
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
8 9
8 10
9 10
6 7
7 8
10 11
11 12
12 13
13 1

result:

ok correct

Test #33:

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

input:

33

output:

14 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
8 9
8 10
9 10
6 7
7 8
10 11
11 12
12 13
13 14
14 1

result:

ok correct

Test #34:

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

input:

34

output:

10 25
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
7 8
8 9
9 10
10 1

result:

ok correct

Test #35:

score: 0
Accepted
time: 0ms
memory: 3660kb

input:

35

output:

11 26
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
7 8
8 9
9 10
10 11
11 1

result:

ok correct

Test #36:

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

input:

36

output:

9 36
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

result:

ok correct

Test #37:

score: 0
Accepted
time: 0ms
memory: 3736kb

input:

37

output:

13 28
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
7 8
8 9
9 10
10 11
11 12
12 13
13 1

result:

ok correct

Test #38:

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

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

result:

ok correct

Test #39:

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

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

result:

ok correct

Test #40:

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

input:

40

output:

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

result:

ok correct

Test #41:

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

input:

41

output:

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

result:

ok correct

Test #42:

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

input:

42

output:

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

result:

ok correct

Test #43:

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

input:

43

output:

11 32
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
8 9
9 10
10 11
11 1

result:

ok correct

Test #44:

score: 0
Accepted
time: 0ms
memory: 3732kb

input:

44

output:

12 33
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
8 9
9 10
10 11
11 12
12 1

result:

ok correct

Test #45:

score: 0
Accepted
time: 0ms
memory: 3668kb

input:

45

output:

10 45
1 2
1 3
1 4
1 5
1 6
1 7
1 8
1 9
1 10
2 3
2 4
2 5
2 6
2 7
2 8
2 9
2 10
3 4
3 5
3 6
3 7
3 8
3 9
3 10
4 5
4 6
4 7
4 8
4 9
4 10
5 6
5 7
5 8
5 9
5 10
6 7
6 8
6 9
6 10
7 8
7 9
7 10
8 9
8 10
9 10

result:

ok correct

Test #46:

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

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

result:

ok correct

Test #47:

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

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

result:

ok correct

Test #48:

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

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

result:

ok correct

Test #49:

score: 0
Accepted
time: 0ms
memory: 3672kb

input:

49

output:

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

result:

ok correct

Test #50:

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

input:

50

output:

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

result:

ok correct

Test #51:

score: 0
Accepted
time: 0ms
memory: 3660kb

input:

51

output:

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

result:

ok correct

Test #52:

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

input:

52

output:

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

result:

ok correct

Test #53:

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

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
9 10
10 11
11 12
12 1

result:

ok correct

Test #54:

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

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
9 10
10 11
11 12
12 13
13 1

result:

ok correct

Test #55:

score: 0
Accepted
time: 0ms
memory: 3644kb

input:

55

output:

11 55
1 2
1 3
1 4
1 5
1 6
1 7
1 8
1 9
1 10
1 11
2 3
2 4
2 5
2 6
2 7
2 8
2 9
2 10
2 11
3 4
3 5
3 6
3 7
3 8
3 9
3 10
3 11
4 5
4 6
4 7
4 8
4 9
4 10
4 11
5 6
5 7
5 8
5 9
5 10
5 11
6 7
6 8
6 9
6 10
6 11
7 8
7 9
7 10
7 11
8 9
8 10
8 11
9 10
9 11
10 11

result:

ok correct

Test #56:

score: 0
Accepted
time: 0ms
memory: 3732kb

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

result:

ok correct

Test #57:

score: 0
Accepted
time: 0ms
memory: 3712kb

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

result:

ok correct

Test #58:

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

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

result:

ok correct

Test #59:

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

input:

59

output:

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

result:

ok correct

Test #60:

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

input:

60

output:

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

result:

ok correct