Red-Nosed Reports

Advent of Code 2024 [Day 2]

02-12-2024

Fortunately, the first location The Historians want to search isn’t a long walk from the Chief Historian’s office.

While the Red-Nosed Reindeer nuclear fusion/fission plant appears to contain no sign of the Chief Historian, the engineers there run up to you as soon as they see you. Apparently, they still talk about the time Rudolph was saved through molecular synthesis from a single electron.

They’re quick to add that - since you’re already here - they’d really appreciate your help analyzing some unusual data from the Red-Nosed reactor. You turn to check if The Historians are waiting for you, but they seem to have already divided into groups that are currently searching every corner of the facility. You offer to help with the unusual data.

The unusual data (your puzzle input) consists of many reports, one report per line. Each report is a list of numbers called levels that are separated by spaces. For example:

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

This example data contains six reports each containing five levels.

The engineers are trying to figure out which reports are safe. The Red-Nosed reactor safety systems can only tolerate levels that are either gradually increasing or gradually decreasing. So, a report only counts as safe if both of the following are true:

In the example above, the reports can be found safe or unsafe by checking those rules:

So, in this example, 2 reports are safe.

Analyze the unusual data from the engineers. How many reports are safe?

function isSafe(report: number[]): boolean {
  let increasing = true;
  let decreasing = true;

  for (let i = 1; i < report.length; i++) {
    const diff = report[i] - report[i - 1];
    const absDiff = Math.abs(diff);
    if(absDiff < 1 || absDiff > 3) return false;
    if (diff < 0) increasing = false;
    if (diff > 0) decreasing = false;
  }

  return increasing || decreasing;
}

async function main() {
  const data = await Deno.readTextFile("input.txt");
  const reports = data.trim().split("\n").map(line => line.split(" ").map(Number));
  const safeReports = reports.filter(isSafe).length;

  console.log(`Number of safe reports: ${safeReports}`);
}

main().catch((err) => console.error(err));

The engineers are surprised by the low number of safe reports until they realize they forgot to tell you about the Problem Dampener.

The Problem Dampener is a reactor-mounted module that lets the reactor safety systems tolerate a single bad level in what would otherwise be a safe report. It’s like the bad level never happened!

Now, the same rules apply as before, except if removing a single level from an unsafe report would make it safe, the report instead counts as safe.

More of the above example’s reports are now safe:

Thanks to the Problem Dampener, 4 reports are actually safe!

Update your analysis by handling situations where the Problem Dampener can remove a single level from unsafe reports. How many reports are now safe?

function isSafe(report: number[]): boolean {
  let increasing = true;
  let decreasing = true;

  for (let i = 1; i < report.length; i++) {
    const diff = report[i] - report[i - 1];
    const absDiff = Math.abs(diff);
    if(absDiff < 1 || absDiff > 3) return false;
    if (diff < 0) increasing = false;
    if (diff > 0) decreasing = false;
  }

  return increasing || decreasing;
}

function canBeMadeSafe(report: number[]): boolean {
  for (let i = 0; i < report.length; i++) {
    const newReport = report.slice(0, i).concat(report.slice(i + 1));
    if (isSafe(newReport)) return true;
  }
  return false;
}

async function main() {
  const data = await Deno.readTextFile("input.txt");
  const reports = data.trim().split("\n").map(line => line.split(" ").map(Number));
  const safeReports = reports.filter(report => isSafe(report) || canBeMadeSafe(report)).length;

  console.log(`Number of safe reports: ${safeReports}`);
}

main().catch((err) => console.error(err));
Click to show the input
35 37 38 41 43 41
64 66 69 71 72 72
45 47 50 51 52 53 55 59
16 18 19 20 23 29
36 39 41 43 44 41 44
42 45 46 44 42
82 85 86 87 88 86 86
42 45 46 45 47 51
57 60 62 65 63 65 70
88 90 90 93 95 97
54 56 58 59 60 60 62 61
64 66 68 68 70 73 73
5 8 11 11 15
82 84 84 87 89 91 97
62 65 69 71 73
46 48 50 51 55 58 59 57
10 11 15 18 18
26 28 31 34 38 41 45
40 41 42 45 47 51 53 60
19 22 25 30 32
77 78 84 85 88 85
25 27 32 33 34 37 37
77 79 84 87 89 91 92 96
10 12 18 19 25
52 51 54 57 59 62 64
65 62 65 66 63
71 69 71 72 73 75 76 76
70 69 71 72 73 75 79
9 7 10 11 12 17
18 15 18 19 17 20
24 22 23 26 29 30 29 26
94 91 89 90 91 91
18 15 16 15 16 20
72 69 67 68 73
66 63 64 66 66 67 70
78 76 76 77 79 76
59 56 57 57 58 61 61
10 9 12 14 17 17 21
3 2 5 7 8 8 9 16
78 76 79 81 85 87
31 29 30 32 35 36 40 39
75 73 75 77 80 84 84
65 63 65 69 70 74
75 73 74 75 79 80 81 88
55 52 53 55 61 62
68 65 66 69 75 74
6 5 8 15 15
70 68 69 72 79 81 85
11 9 12 19 20 27
33 33 35 37 39
88 88 89 92 93 94 96 95
69 69 72 74 77 78 78
1 1 2 3 7
58 58 61 64 66 69 70 76
9 9 11 13 14 16 14 15
40 40 42 44 43 46 44
26 26 24 26 26
74 74 77 79 80 81 78 82
72 72 74 72 75 78 80 86
45 45 47 47 48
48 48 51 52 53 53 52
86 86 87 90 90 91 93 93
64 64 66 68 70 70 74
46 46 46 47 48 50 57
39 39 41 45 47 48 49
2 2 5 9 10 8
36 36 37 41 42 45 48 48
8 8 11 14 17 20 24 28
13 13 14 18 24
50 50 51 54 61 63
54 54 55 58 60 67 64
19 19 21 27 29 29
10 10 17 19 23
31 31 34 36 37 44 50
34 38 39 40 43 46 47 50
12 16 18 21 24 27 29 26
75 79 82 84 87 87
36 40 41 44 45 47 51
58 62 63 66 69 71 72 79
33 37 35 36 37 38 40
95 99 97 99 96
20 24 26 23 23
81 85 87 90 88 89 91 95
37 41 40 41 43 45 47 54
17 21 21 24 25 27 30 31
9 13 13 15 17 18 15
8 12 13 14 14 14
31 35 36 36 38 42
78 82 82 84 85 88 94
25 29 31 32 35 39 41 43
32 36 40 42 40
22 26 30 33 33
54 58 62 65 69
61 65 69 72 73 80
52 56 63 64 66
76 80 86 89 86
6 10 11 14 19 19
8 12 13 14 15 22 23 27
48 52 53 56 58 65 72
6 13 14 17 20 21
65 71 73 74 77 78 81 80
80 85 88 91 92 95 96 96
79 85 88 89 93
36 41 43 46 47 49 55
54 59 57 58 59
77 84 86 84 85 83
2 9 11 12 9 11 11
82 88 87 90 94
22 27 30 33 35 38 37 43
72 77 79 79 81 83
82 89 92 94 96 96 94
65 72 73 73 73
42 49 52 52 54 57 61
76 81 81 82 83 89
20 25 26 30 31
6 11 12 16 15
20 26 27 31 33 36 36
7 14 17 21 25
37 44 47 50 51 52 56 61
53 58 60 63 69 71 72
40 47 54 55 54
58 65 72 75 77 80 81 81
13 18 20 21 27 31
51 58 59 66 73
64 61 60 59 62
87 84 81 80 78 77 74 74
98 95 93 91 89 87 84 80
42 40 37 35 33 26
77 75 72 70 72 69 67
86 85 84 86 88
68 66 63 66 66
63 60 61 60 59 57 54 50
86 83 84 83 82 79 74
81 80 79 79 77 74
76 75 75 73 72 69 71
20 17 17 15 15
77 76 73 73 69
63 62 61 61 60 55
89 86 82 80 78 75
92 91 90 89 88 84 82 85
87 86 83 80 79 75 75
86 83 81 77 73
79 76 75 73 69 62
88 86 81 80 78
88 86 85 82 77 80
57 55 54 51 49 42 40 40
47 44 41 35 33 31 27
29 26 20 17 16 14 7
49 51 48 45 42 40
62 65 62 59 56 54 55
54 56 54 51 51
83 85 83 80 77 74 70
37 38 37 36 35 28
39 42 39 40 39 38 37
19 21 20 17 16 13 15 18
8 11 9 7 8 8
70 72 70 67 68 64
85 87 84 86 79
25 28 28 26 24 21
58 60 60 59 56 58
71 72 72 69 69
88 89 87 87 85 83 81 77
37 39 36 34 34 28
50 51 49 47 46 42 40
60 61 59 55 52 49 48 50
95 97 94 93 91 87 87
92 93 92 88 87 83
84 86 83 79 78 76 74 69
95 98 92 89 87 85 83
27 29 27 25 20 17 20
44 47 45 39 38 36 36
76 79 73 72 68
94 95 88 85 79
89 89 86 83 81 80 77 76
74 74 71 68 67 65 63 66
70 70 69 68 68
85 85 83 82 78
58 58 57 54 53 47
18 18 20 19 17 14 12 11
49 49 47 44 42 43 44
43 43 41 40 38 35 36 36
25 25 27 26 24 21 17
50 50 53 51 46
92 92 89 89 86 83 81 79
65 65 65 62 65
91 91 91 89 88 88
75 75 75 72 68
77 77 74 71 71 66
29 29 25 24 21 18
52 52 51 47 46 44 45
99 99 95 94 91 90 90
38 38 36 33 31 27 23
41 41 40 36 30
81 81 80 74 73 72 71 68
46 46 44 41 40 34 31 32
55 55 53 51 50 47 41 41
66 66 65 64 59 55
22 22 21 19 17 16 10 4
17 13 10 7 6 4 3
25 21 19 18 15 14 16
38 34 31 28 26 25 25
75 71 68 67 64 62 60 56
83 79 76 73 72 70 69 64
51 47 44 45 42 41
46 42 45 42 45
89 85 84 86 84 81 80 80
23 19 16 14 15 11
61 57 54 57 56 54 49
85 81 81 80 79 77 74
12 8 7 5 3 2 2 5
97 93 90 90 89 89
75 71 70 67 67 64 60
36 32 29 29 28 21
40 36 35 32 29 25 24 22
98 94 90 89 88 85 87
19 15 11 9 6 6
40 36 33 31 27 24 20
78 74 70 68 61
49 45 44 41 36 33
67 63 62 56 53 54
83 79 72 70 67 66 66
30 26 20 17 14 13 9
65 61 55 52 46
91 85 83 81 78 76 75
80 73 70 68 65 62 61 63
35 30 28 25 22 22
50 43 42 39 35
50 44 43 41 36
98 92 95 92 91 90 89
43 37 36 33 30 28 30 32
47 40 38 41 40 39 37 37
48 42 39 37 38 34
49 43 41 40 42 41 35
34 27 26 24 24 22
89 83 81 81 78 80
97 90 88 88 86 86
84 78 76 76 74 73 69
80 75 72 72 70 65
19 14 13 9 8 6 3
81 75 73 69 66 63 65
58 52 48 46 44 44
64 59 58 56 54 52 48 44
56 49 46 44 40 37 30
52 47 41 38 35
80 73 71 70 68 63 64
77 70 63 60 57 57
63 57 51 48 47 45 41
35 28 26 20 18 16 9
79 75 75 73 71 68
96 96 90 87 89
42 37 36 33 35 33
46 50 52 55 57 61 64
28 24 20 19 17 17
33 31 32 35 36 40 42 47
49 46 44 45 48 49 55
14 19 20 20 22 21
19 20 16 13 10 9 6 4
29 25 19 17 10
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39 38 39 40 43 44 51 52
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91 94 94 93 92
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28 31 28 23 22 18
55 62 65 67 68 71 73 76
29 28 27 24 19 18 16 12
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36 31 28 31 24
85 82 84 87 93 95 99
36 37 34 36 42
62 62 61 54 52 51 50 45
87 89 83 82 80 78 76
22 22 24 22 19 19
29 36 37 38 38 41 43
55 58 56 52 48
38 38 41 43 43 43
63 61 59 56 53 52 49 42
56 63 67 70 73 75 75
67 63 61 59 56 53 49 47
76 77 79 81 82 87
62 58 56 55 56 55 52 52
62 62 63 66 70
52 51 55 56 59 60
86 79 78 73 71
79 79 75 73 70 69
38 39 40 38 38
62 66 67 70 73 75 79
36 30 29 27 22 20 19 14
86 86 86 88 90 96
28 28 25 23 20 20
31 37 41 43 45 49
88 87 84 86 87 89 89
82 82 81 78 78 76 77
43 41 46 49 52 55 56 56
62 64 66 70 71 74 75 74
69 76 73 75 76 78 78
94 88 85 82 82 79 79
37 30 28 27 21
11 11 9 7 2
31 27 26 23 22 22 19 21
52 48 46 45 47 45 43
59 53 51 47 44 41 39 41
66 64 67 69 71 73 73
68 68 71 72 73 74 72 71
64 57 60 57 56 57
55 61 64 65 72 75 77 78
30 29 29 27 30
45 45 47 49 52 56 60
56 62 63 66 72 76
36 43 45 45 45
83 87 88 91 94 95 96 97
33 26 25 22 18
81 78 75 73 71 68 71 65
27 25 28 29 32 35 34
59 59 57 57 56
84 84 87 88 93 94 94
49 52 52 55 61
87 90 88 82 80 77 74 74
4 9 10 11 11 18
82 86 87 89 91 94 97 94
88 84 87 86 82
12 9 9 12 13 16 18 16
51 47 44 41 39 36 34
34 34 39 41 44 46 50
22 22 20 20 19 18 17 17
76 78 76 73 70 69 65
7 8 9 12 12
21 23 24 25 27 26 29 28
37 36 32 30 29 28 28
83 80 79 76 70 68 68
13 17 17 20 17
23 23 20 17 16 11 9 5
26 26 30 32 35 38 38
32 31 30 29 27 24 24
30 34 40 43 47
62 68 68 69 71 72 76
60 57 57 59 60 63
24 20 19 19 18 14
42 39 36 35 38
64 68 69 73 71
42 35 34 32 31 28 27 24
53 55 54 51 50 48 41
66 66 62 60 60
78 82 79 81 79
53 53 52 51 50 49 50 51
11 9 12 15 19
45 49 51 52 53 57 64
17 20 24 25 26
74 77 75 73 72 67 62
81 80 74 72 70 68 66
88 87 90 90 90
45 42 40 33 30 24
54 61 64 62 65 66 69 75
35 39 39 40 42 44
85 90 92 94 97 95 98 96
48 47 44 43 42 45 44 47
30 33 35 37 36
84 84 83 80 78 72 72
3 5 6 7 10 10 14
80 79 82 79 76 74 70
28 34 38 41 47
66 61 58 60 56
94 90 89 86 83 77 76 76
86 84 86 87 91 91
80 83 80 73 70 69 71
77 76 78 80 77 79 82 86
62 57 56 51 53
67 70 71 73 75 77 83 83
28 22 15 13 11 7
50 50 52 53 56 53 56
32 32 29 25 18
16 17 16 15 11 11
34 35 32 31 34 33 33
64 62 60 59 57 55 55 48
29 30 28 27 25 23 21
14 11 14 20 26
4 7 11 12 13 14 17 22
94 96 93 89 88 85 80
79 79 80 83 83 87
48 47 48 51 52 53 55
45 50 51 52 54 52
1 1 4 5 7 10 8
41 43 41 39 39 34
54 56 60 62 66
87 83 81 78 76 73 70 73
84 78 76 74 70 70
71 70 76 78 79 80 81 80
36 39 36 37 36 34 31 29
67 71 74 75 72 73
68 68 66 63 59
39 35 33 32 29 29
35 36 38 40 43 41 43 47
34 34 32 30 32
49 52 50 53 51 46
89 86 86 88 94
35 37 35 33 32 29 27 29
16 15 13 15 16 14
14 14 16 16 19 20
41 37 35 31 27
9 13 16 19 21 21 23 23
95 95 91 89 86 84 82 83
11 14 21 24 25
30 30 24 22 19 16 13
36 40 42 47 52
52 56 58 65 65
47 42 40 37 34 36 36
78 78 80 82 83 82 86
62 62 58 55 51
87 80 77 77 75 73 67
90 86 84 81 80 79 74 71
98 96 96 95 93
11 12 15 20 23 26 30
97 90 90 89 87 85
20 20 22 20 27
78 80 81 81 83 83
96 92 93 90 87 86 80
71 70 71 73 75 79 77
38 38 39 40 43 44 45 51
74 67 61 58 55 53 53
31 38 41 42 43 45 52
19 19 17 19 17 11
81 83 81 78 76 76
93 89 87 85 85 84 84
13 13 12 10 12 11
40 36 34 32 25
10 14 18 19 23
33 38 35 38 41 42 46
62 58 52 49 45
9 13 14 11 12 12
82 83 84 85 90 96
74 70 68 66 65 63 59
31 38 42 43 46
43 47 51 54 55 55
48 48 52 54 55 53
29 29 30 36 39 45
20 20 21 23 26 27 27
24 31 34 36 39 41 45 44
84 83 87 88 92
45 44 39 37 35 33 32 33
28 21 19 19 21
24 20 19 15 17
93 92 89 88 85 84 83 79
32 32 32 30 27 26 22
21 21 21 22 21
19 16 12 11 6
32 36 36 38 45
92 92 90 88 88 81
88 85 82 78 74
67 70 68 65 65 63 64
18 24 29 32 31
55 48 45 42 40 38 37 37
22 23 24 25 27 27 28 30
2 6 9 11 13 10 15
65 67 69 72 75 80 78
60 60 62 66 73
61 61 62 61 61
6 9 12 10 7 3
83 81 83 81 81
98 95 98 95 92 89 87
82 85 87 89 90 94
64 68 69 70 73 75 77 83
68 64 63 61 59 55 52 46
67 71 73 76 76
64 63 59 58 61
81 80 78 76 75 71 70
38 45 48 49 52 53 54 54
31 32 30 33 34 37
48 48 50 47 44 43 42 38
24 20 18 15 15 12 7
52 47 46 46 43 41 37
57 61 68 70 67
38 40 38 37 37 37
60 53 51 50 48 44 42 40
69 67 64 64 63 59
59 58 57 55 52
29 30 32 33 35 38
41 42 44 46 47
54 57 58 59 60 62 65 66
26 27 28 31 33 34 36 37
34 31 30 29 28 27
29 30 32 34 37
52 53 55 58 61 64 65 67
31 32 35 36 37 38 39
85 82 80 79 76
56 54 52 51 50 49
16 15 13 10 7 6
2 4 6 7 8 11
67 70 72 73 76 79 81 83
27 24 23 22 20 18 15
8 10 12 13 14 16
23 22 20 17 14 11 8 5
50 49 48 46 45 44 41
37 35 33 31 30 27 25 23
19 17 16 14 13 10 8 7
78 75 74 72 69 67 65
10 11 14 15 18 19 21 23
55 53 51 48 46
71 74 75 78 81 83 84 86
21 24 27 30 31
46 49 50 51 53 54 55 58
19 18 15 14 12 10
13 14 17 20 21
63 62 60 59 56 54 52 49
73 76 78 79 82 84 85 87
54 51 50 47 45 42
57 55 52 50 47 44 41
34 32 29 26 23 21 18 15
89 88 85 84 81 78
55 58 61 64 66 68 71
67 69 72 74 77
32 29 28 25 23 20 19 16
29 30 31 33 34 37 39 41
70 67 65 62 59
66 64 62 59 58
84 86 89 91 92 93
69 71 74 77 78 79 81 83
31 28 26 25 24 22 19 17
96 95 94 91 90 88
82 85 87 88 89 92 94
30 28 27 25 23 22 20
68 65 62 60 58 57 56 53
52 53 55 57 58 60
38 35 34 31 29 28 25
40 38 36 35 34 33 31
31 32 34 37 38 40 41
35 37 40 42 44 46
45 43 40 39 38 37
46 48 51 53 55 56 59 60
26 27 29 32 34 37 40
90 91 93 96 99
78 79 80 83 84
24 25 27 28 30 33 36
97 94 93 90 89 88
58 60 61 64 66 67
82 81 80 77 74 72 69 68
82 83 84 87 90
72 73 76 78 81 84 85
25 26 28 30 33 36 38 39
87 86 83 80 79 76 73
23 24 27 29 30 31 32
60 62 65 67 70 71 72
54 56 58 61 63
45 43 40 37 35 32 31 30
41 42 43 44 46
31 34 37 40 43 45
66 68 69 72 75
78 80 83 86 89 92 94 95
86 84 82 79 78 76
94 93 92 91 88 85 82 80
18 16 14 12 11
71 69 66 64 62 60 59
88 91 92 93 96
54 57 58 61 63 64 67 69
96 95 94 92 91 90 87
28 25 23 20 18 17 14 12
88 91 92 94 97
51 54 56 58 60 63 66 68
26 27 30 32 35
70 71 73 76 77 78
14 12 10 7 4 2
4 7 9 11 13 16
64 63 62 61 58
26 29 32 33 35 37 40
81 84 87 89 90
29 30 31 33 36
31 29 26 23 20
91 90 88 87 84 83 80 79
31 33 34 37 39 41 42
73 71 70 67 64 63 61 58
90 88 85 84 82 81 80 79
14 11 10 9 8 7 4
50 52 55 58 61 62
39 36 33 32 30
84 87 88 89 90 93
20 22 23 24 27 28
94 91 88 86 83 80
21 23 25 28 29 32 33
27 26 23 21 20
70 71 73 75 76 79 82
24 27 28 29 30
11 13 15 17 19 21 22
58 57 56 53 50 49
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49 48 46 45 43
25 28 29 31 33 34
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78 76 74 72 69 67 66
86 84 83 80 78
69 67 66 65 64 63 62 59
26 24 22 20 18 15
63 66 67 69 71 73 76
45 44 41 40 38
92 91 90 88 87
16 17 20 21 22 23
12 14 15 16 19
76 79 82 83 86
28 26 25 23 20 19 17 15
47 46 44 43 40 39
97 94 93 90 89 88 85 83
8 11 13 16 17
4 6 9 12 15 18
72 69 68 66 63 62 60 57
67 68 69 71 73 74
36 35 33 32 30
59 56 55 52 51 50
8 11 14 15 17
57 60 63 65 67 70 73 75
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9 11 14 15 18 20
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60 59 58 55 54 51 49
46 44 42 40 39 36
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63 66 67 70 73 74 75
22 25 28 29 31 34 35
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95 93 90 89 86 85 84 83
92 89 87 86 85 83 81
75 72 70 68 67
85 82 81 79 76
34 36 38 39 40 41 42 44
29 27 24 22 21
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76 78 81 84 86
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31 28 27 24 22 19
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34 33 32 30 29
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30 33 35 36 39 40
79 81 82 85 86 87 89 90
15 16 18 21 24
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10 11 14 15 18
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90 92 93 94 96
2 4 6 7 9
22 21 18 16 15 13 10 8
1 2 4 7 10 13 14 17
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13 14 16 17 18 20
33 30 29 27 24 23 21
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30 32 33 36 39 40 41 43
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21 19 18 16 15
41 42 43 44 45 48 50 53
25 27 30 31 34
29 31 34 35 36 39 40 43
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22 24 26 27 30 33 35 37
11 12 14 17 20 22 23
78 79 81 82 84
62 65 68 69 71 74
30 31 34 37 39 42 43 46
22 23 25 28 31 32 35 36
2 4 6 7 8
14 11 8 7 6 5 4 1
44 45 48 49 51 54
37 38 39 42 45 46
98 96 94 93 90 87
51 52 54 56 57 58
13 14 15 18 20 22
49 46 45 44 43
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66 64 63 60 58 55 54 53
84 86 88 90 93 94 96
23 24 25 27 28 30 32 35
55 58 59 61 62 63 64 65
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84 83 81 80 78 75
29 27 24 21 20 19 17
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34 36 38 40 41 42 44
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6 7 10 13 14 17 20 21
37 35 32 31 29
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84 83 81 79 76 75
31 32 33 35 36 39
47 50 51 53 55 57 60
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95 93 92 89 88 86
30 33 34 36 37 39 41
59 56 54 52 51 49 46 44
49 50 53 56 57 58
10 12 13 14 17
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89 88 85 83 81
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40 42 43 45 48 49
96 93 90 87 84
46 49 52 53 54 55 57
70 67 65 64 63
60 58 55 54 53 51 49
78 80 83 86 89 91 93
42 39 37 35 32 31 30
69 71 74 77 79
46 48 50 52 54
1 2 4 5 8 10
15 12 11 9 7
70 72 75 76 79 82 85
66 67 70 72 74 75
3 6 8 10 13 16
5 8 11 13 15 18
83 82 81 78 76 75
22 21 18 16 14 11
86 83 82 81 80 78 77 76
99 98 95 92 90 88 86 84
69 67 65 64 63
14 15 18 21 23 25 27
77 78 80 81 84 86 87
97 94 91 88 85 84 82 81
7 8 9 10 11
42 43 44 46 48 51
97 95 92 91 90 87
81 82 83 84 86 87 89 92
69 70 71 74 77 80 82 83
68 70 73 76 79
29 26 23 22 20 17
4 6 8 11 13 14
36 38 39 40 41 42
4 5 7 9 11 14 17 20
35 33 30 28 27 24 21
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5 8 11 13 14 15 18
56 58 59 62 65 67 70
65 66 69 70 71 74 75
15 17 18 19 22 23
46 45 43 42 39 37 34 31
65 62 60 59 58
29 26 23 21 19 18
65 63 62 60 58 56 53
16 13 11 8 5 2 1
75 73 71 70 69
89 86 84 82 81 79 78 76
85 83 82 81 80 79 78 77
95 92 90 89 87 85 82
56 59 61 64 66 69
84 85 87 90 91
10 11 13 15 18 19
67 65 63 60 58 56 55
82 85 86 89 91 92
80 79 78 75 72
54 51 49 46 45 43
81 79 76 75 74 71 70 67
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85 84 83 81 78 77 75
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38 36 34 31 30
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31 29 28 25 24 21 19 16
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80 78 75 73 72 70 67
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49 52 54 57 59 60 61
38 41 43 46 47 50
44 41 39 37 34 33
80 79 76 75 74
20 23 26 29 31 32 33 36
76 78 79 82 84
29 27 26 23 21
22 25 28 31 32 33
30 28 26 23 21
10 12 15 18 19 22
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29 28 26 24 21 18 17
11 12 15 16 17 20
53 52 49 46 45 42
64 65 67 70 72 74 77 78
4 5 8 11 14
43 44 45 46 47 50 52 55
88 89 92 95 96 99
1 3 6 9 10 13
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72 69 66 63 61 58
69 70 73 76 79 81
85 87 89 90 93 96
64 62 60 57 56 53 51 50
75 77 79 81 83 85
6 8 9 11 12
57 58 61 62 64 67
14 13 10 7 6 4 1
66 69 71 72 75 76
22 20 19 16 14
57 54 53 50 47 46 43 40
18 16 15 14 12 9 8
80 79 76 75 72 69 66 63
9 10 11 12 15 16 17
27 28 31 33 36 39
37 36 33 32 31 30 27
71 69 67 64 61 58 55
46 45 44 41 39 36
21 18 15 13 10
38 36 33 31 30 27 26 24
11 13 16 17 19 21 24 27
21 24 26 29 30 33
94 92 89 88 85 84 81 79
13 15 16 17 18
58 59 61 63 66
23 25 27 29 32 35 36
56 59 61 63 66 69 71 74
84 85 88 89 92 95
78 81 84 87 90 91 93
26 25 22 21 19 16
44 41 38 37 36 33
80 79 78 76 74 72 70 68
27 29 30 32 35 36
75 73 72 70 67 64 61 60
59 61 64 66 69 72 73
39 38 36 34 31 30 27 25
3 4 5 7 10 11
73 75 76 77 80 81
58 60 62 65 68 69
76 79 80 83 86 89 90 91
12 9 6 3 2 1
52 53 54 56 59 61 62 64
72 73 74 77 79
75 72 71 70 69 66 63
48 46 45 44 43 42 39
70 71 73 74 76 79 81 84
90 93 96 98 99
45 46 47 50 53 55 58 61
65 68 69 72 73 75 78 81
47 46 43 40 37 34
13 12 9 8 6 5 4 1
80 77 75 73 72 69 67 66
40 42 44 46 47 50
64 67 68 69 72 73 74 76
1 3 6 8 9 11
24 21 20 18 17
53 56 58 60 62 65
77 78 80 83 85 87
8 10 13 16 19 21 23
30 28 26 24 22
27 25 22 19 18 17
79 76 73 71 69 68 65 62
79 76 74 72 70
72 71 68 66 63 62 61 59
51 53 54 55 57 60 61 64
82 85 86 87 90 91 93 95
32 31 28 26 24 23 22
80 77 74 71 68
63 60 59 56 53
97 96 93 91 88 87
19 17 14 11 9
36 38 41 43 46 49 51 52
53 56 59 62 63 65 66
78 81 83 85 88 89 92 94
11 12 13 16 17
34 37 38 39 42
51 48 45 44 41 40
37 35 34 32 30 29 28 26
79 76 75 73 71 69 67 65
74 71 68 66 63 62 60
87 88 89 90 93 95
33 30 29 26 25 23 22 19
27 26 24 22 19 17 15 13
39 38 37 36 35 33 32
52 49 46 43 42 40 37
33 36 39 41 43 46
29 28 27 26 24 21
66 68 70 71 72 73
38 37 34 33 31
90 89 88 86 84 81 80 78
23 25 27 30 31 33
49 47 44 42 41 38 37
88 85 84 81 78
42 44 45 46 47 49 51
35 37 38 40 41 42 45
94 95 96 97 98
39 36 33 32 29 26
58 60 61 63 64
52 51 49 47 45
23 22 21 19 16 15 13 11
4 5 6 8 9 11 12 15
6 7 9 11 14 16 19 21
30 33 34 35 36
16 19 21 22 24 25 27
64 65 68 71 73 74 76 78
68 66 64 62 59 58 56 54
56 53 51 48 45 44 41 39
17 15 12 11 9 6
53 54 56 57 60 62
21 19 16 15 14 13 10 9
12 11 8 6 4 2
94 92 89 88 86 84 83 82
18 20 23 24 25
39 41 44 47 49 52 55 58
83 82 79 77 74 73 72 69
81 82 83 84 85 87 90
53 54 55 57 58
33 30 27 25 24 22 19
87 88 90 93 94 95 98
77 76 73 72 71 68 65 63
93 92 89 88 87 86
67 64 63 60 58 55
93 91 90 88 86 84
80 82 83 86 88 91 94 97
19 22 25 27 28 31
66 69 70 71 74 76
86 84 81 79 76 74 72 69
21 22 25 27 28
64 67 70 71 72 73
45 42 39 36 35
80 81 84 85 87 90 92 94
41 40 37 34 32 30 29 26
25 22 19 16 13 11 10 7
7 9 12 14 15
51 54 57 59 62 64 67
28 29 31 32 35 36 39
70 73 75 78 80 81 83
88 90 91 93 94 96
58 57 55 52 51 49
31 30 27 24 22 19
43 44 45 47 49 51
84 82 81 79 76 74
58 57 54 52 49 46 45
45 46 48 49 52
16 18 21 23 26 27
24 26 27 29 32 34 35
64 66 68 69 70 72 75 78
28 27 24 23 21 18 16
63 66 67 68 71 73 75
99 96 93 92 89
19 21 23 25 26 27 30 33
40 42 45 47 50 53
61 64 65 66 67
61 58 56 54 52 49
82 83 85 88 89
49 46 45 43 42 41 39
65 66 67 69 72 74 75
92 93 94 96 97
38 39 42 45 47 48 50
49 46 43 42 40
51 50 48 45 42 40 39
66 64 62 60 57 54 51
66 65 63 62 60 58 55
76 78 80 83 86 88
69 70 72 74 75 76
70 72 74 75 76 79
96 95 93 90 87 85 83 81
95 94 91 89 87 84 82
13 15 16 19 20 23
14 16 19 20 23 26
13 10 7 6 5 3
58 57 56 53 52 50
16 14 12 9 7 6 3
74 71 70 69 67 64 62 61
75 72 69 67 66
80 77 76 74 72 71 70 67
79 82 85 88 89 91 93 95
42 41 39 36 34 33 32
10 12 13 16 17
14 12 10 7 5 3
47 49 50 52 53 54 57 59
28 29 32 33 34