I was trying to fit a curve to the number of people who identify as liberal
by age. I got some puzzling results which suggested to me that I don't
really understand how local polynomial fitting works. Why, I am wondering,
is lowess producing a local fit of zero for every age?
> liberal.bin
[1] 0 0 0 0 1 0 0 0 1 1 0 0 0 0 1 0 1 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 1 1 0
0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0
[57] 1 1 1 0 1 0 1 0 1 0 0 0 0 0 0 1 0 1 1 0 0 0 1 1 0 1 0 0 0 0 0 0 0 0 1
0 0 1 0 0 0 0 1 0 1 1 0 0 0 0 0 0 0 0 0 0
[113] 0 0 0 1 0 0 0 1 0 0 0 1 0 0 0 0 1 0 0 1 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0
0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 0 0
[169] 0 0 0 0 0 1 0 0 0 1 0 0 0 1 0 0 1 0 0 1 0 0 0 0 0 0 0 1 0 0 1 0 0 0 1
0 1 1 0 0 1 1 0 0 0 0 0 1 0 0 0 0 0 1 0 1
[225] 0 0 0 1 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1 0 1
[281] 0 0 1 0 1 1 1 0 0 0 0 0 0 0 0 1 0 1 0 1 1 0 0 0 0 1 1 1 0 0 1 0 0 0 0
1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0
[337] 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1
0 1 0 1 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 1 1
[393] 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 1 0 1 1 0 0 1 0 0 0 0 1 0 0 0 0 0
1 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0
[449] 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 0 0 1 1 0 0 1 0 1 1 0
0 0 1 0 0 0 0 1 0 1 0 0 0 0 0 1 0 0 0 1 0
[505] 1 0 1 0 1 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 0
1 0 1 0 1 0 0 0 0 1 0 1 0 1 1 0 0 1 0 0 1
[561] 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 1 0 0 1 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 0 0 0 0
[617] 0 1 0 0 1 0 0 1 0 1 0 0 0 0 1 1 1 0 1 0 0 0 1 1 0 1 1 0 0 0 0 1 0 0 0
1 0 0 0 1 0 1 0 0 0 0 0 0 1 1 0 0 0 0 0 0
[673] 1 0 0 0 0 0 0 1 0 1 1 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 1 0 0 0 0
0 1 0 0 0 0 1 0 1 1 0 0 0 0 0 0 1 1 0 1 1
[729] 1 0 1 0 0 0 0 0 1 1 0 0 0 1 0 0 1 1 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 1 1 0 1 0 0 0 0 0 1 0 0 0 1
[785] 0 0 0 1 1 0 1 0 0 0 1 0 0 0 1 0 0 1 0 0 1 1 0 0 0 0 0 0 1 1 0 0 0 0 1
0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 1 0 0 0 0
[841] 1 1 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 1 0 1 0 0 0 1 0 0 1 0 1 1 0 0 1 1
0 0 1 1 1 0 0 1 0 0 1 0 0 0 0 0 0 0 1 1 0
[897] 0 1 0 1 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 1 1 0 0 0 0 0 1 0 1 0 0 0 0 0 1
0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 1 0
[953] 0 0 0 0 0 0 1 0 0 1 1 0 0 0 0 1 0 1 1 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 1
0 1 0 0 0 1 0 0 0 0 0 0 1 1 0 0 1 0 0 0 1
[1009] 0 0 0 1 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0
0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1
[1065] 0 0 0 0 1 0 1 1 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1
1 1 0 0 0 0 0 0 1 0 1 0 1 1 0 0 0 0 0 0 0
[1121] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 1 0 0 0 0 0 0 1 0 1 1 0 0 0
0 0 0 1 0 1 0 1 1 0 0 0 0 1 1 1 0 0 0 0 0
[1177] 1 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 1 1 0 0 0 0 1 0 0 0 0 1 1
0 1 0 0 1 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0
[1233] 0 1 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 1 1 0 0 1 1 1 0 1 0 0
0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 0 1 0
[1289] 1 1 1 1 0 0 1 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 1 0 1 0 1 0 0 0
1 0 0 1 0 0 0 0 1 0 0 0 0 0 1 1 1 0 0 0 0
[1345] 1 0 1 1 0 1 1 0 0 0 0 1 0 0 1 0 0 0 1 0 0 0 1 1 0 0 1 0 0 0 0 0 0 1 0
0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
[1401] 1 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 1 0 0 0
0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
[1457] 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0
0 0 0 0 0 0 0 1 0
>
> age
[1] 62 62 27 61 44 53 50 71 57 43 66 60 45 71 52 61 32 62 51 50 48 35 73
63 48 38 25 28 66 81 45 50 52 23 55 62 72
[38] 64 63 56 52 69 62 41 40 51 28 58 44 48 53 32 28 48 29 58 31 40 57 65
23 75 39 57 30 66 66 52 52 65 52 44 50 36
[75] 25 55 36 49 51 23 80 51 60 42 45 38 46 50 63 64 68 25 33 37 60 46 82
26 55 55 46 24 59 23 33 60 79 48 60 68 40
[112] 45 55 61 57 29 75 30 71 51 46 52 38 33 65 68 63 43 64 58 38 71 73 62
43 83 21 66 60 46 60 59 61 52 50 48 42 64
[149] 50 24 23 60 61 52 59 24 22 70 63 65 74 50 80 54 55 47 75 67 41 46 57
63 50 62 31 58 75 21 28 69 67 62 47 56 38
[186] 79 69 52 54 32 70 58 50 35 39 34 59 43 54 54 57 28 43 47 56 48 51 57
72 34 57 51 46 50 48 40 59 66 29 50 33 45
[223] 65 57 65 69 45 46 65 76 74 54 61 43 43 38 36 58 68 54 65 42 53 72 45
39 61 40 44 79 79 50 27 63 50 70 34 32 27
[260] 49 72 50 53 47 49 44 41 24 22 41 25 27 64 70 49 50 22 35 26 62 45 19
31 61 62 39 80 44 42 41 66 59 67 41 64 47
[297] 75 24 37 33 46 47 36 53 59 36 26 24 37 69 49 44 73 53 50 79 19 42 54
46 31 55 45 53 56 67 50 47 43 77 32 60 28
[334] 59 71 48 50 39 31 31 32 59 60 51 62 39 38 31 28 58 20 70 57 60 55 25
38 31 61 71 33 57 60 68 64 20 46 38 68 56
[371] 23 49 54 56 22 38 31 46 46 28 40 33 43 63 49 30 36 60 50 61 64 31 30
34 26 25 66 55 57 56 31 28 65 31 72 32 44
[408] 58 50 49 56 38 50 65 57 72 40 64 74 73 36 60 67 78 67 66 38 28 79 55
56 65 69 34 51 31 61 69 19 38 72 32 55 56
[445] 51 25 27 45 48 60 41 27 45 47 62 23 68 57 23 47 59 50 36 43 59 81 27
40 50 76 45 26 46 53 40 23 75 51 30 42 48
[482] 47 60 61 73 55 61 22 53 71 32 51 47 64 73 49 46 48 26 46 35 77 51 58
33 54 41 38 64 42 45 55 47 63 53 57 69 58
[519] 49 28 49 56 52 44 29 61 55 57 61 32 23 42 53 63 42 55 24 55 36 45 27
26 48 36 32 54 27 24 32 26 27 79 23 56 29
[556] 24 30 34 69 43 42 42 65 58 38 23 53 29 57 31 45 27 26 61 44 46 36 31
63 57 47 51 50 50 46 26 62 62 45 44 36 57
[593] 56 25 56 66 37 52 51 36 51 62 66 71 68 47 40 58 52 51 45 64 52 21 53
58 41 33 53 38 47 41 66 28 66 53 59 41 61
[630] 59 56 22 30 50 56 29 58 60 28 61 58 48 55 47 55 55 37 25 50 29 30 52
61 41 29 41 38 32 53 35 45 56 61 73 48 28
[667] 57 63 53 36 20 73 67 56 52 60 36 59 44 43 60 39 32 60 65 24 58 51 22
51 46 45 63 59 72 42 34 22 40 64 28 63 43
[704] 77 69 33 70 63 57 60 74 26 60 25 53 36 70 45 54 54 25 75 51 46 42 48
41 57 40 59 34 74 76 49 86 69 37 71 38 47
[741] 50 53 32 46 30 26 28 63 63 29 44 60 57 55 43 39 47 74 70 60 69 34 70
37 63 53 62 49 67 56 46 71 46 57 60 37 58
[778] 76 40 54 43 53 28 27 64 54 72 54 55 61 24 50 24 62 57 73 53 49 30 60
51 37 38 30 46 47 24 27 44 58 46 49 41 63
[815] 40 47 45 38 40 42 68 24 45 50 39 45 37 37 65 22 38 83 43 55 64 40 45
59 51 54 32 44 62 48 50 52 57 50 40 62 51
[852] 50 26 40 61 70 51 59 42 53 35 66 56 52 34 63 30 33 46 67 48 41 61 48
57 61 22 60 43 51 67 45 40 69 70 40 49 64
[889] 59 86 52 42 48 47 39 65 51 48 65 38 57 38 50 67 22 65 69 61 32 28 49
59 63 51 59 57 50 66 62 69 79 58 37 55 36
[926] 57 48 71 45 51 53 33 42 47 48 30 35 27 61 24 63 56 53 50 35 51 57 66
55 57 74 33 28 63 69 33 66 43 55 52 54 28
[963] 30 33 27 54 46 32 46 50 21 52 32 26 44 39 57 28 56 31 47 59 26 47 52
50 41 28 33 47 42 41 51 21 69 33 28 57 41
[1000] 26 29 33 26 27 64 60 60 47 44 45 45 41 41 40 41 32 25 52 51 22 45 34
59 30 51 54 69 44 56 49 60 50 63 55 35 55
[1037] 58 36 62 29 51 56 65 43 51 69 54 57 67 42 54 53 56 69 51 43 62 65 44
37 61 33 60 37 78 46 59 57 46 35 59 59 28
[1074] 63 43 61 50 48 47 64 47 38 58 62 85 49 64 42 51 49 28 53 30 50 54 66
47 77 23 63 53 61 74 65 64 60 65 62 69 60
[1111] 37 25 28 55 55 72 48 40 68 48 57 77 59 65 54 28 70 46 40 60 49 50 73
65 74 52 70 43 72 52 44 22 51 35 50 51 32
[1148] 56 22 32 40 54 53 49 62 47 50 68 40 40 58 30 56 19 30 73 48 49 50 32
49 75 46 43 47 29 46 42 44 30 50 76 49 70
[1185] 47 44 58 49 54 43 30 52 45 47 55 57 53 45 59 27 47 66 27 58 40 47 60
54 58 38 44 34 60 77 64 45 53 41 29 65 45
[1222] 69 49 50 49 49 57 49 48 39 36 50 57 36 56 26 32 67 63 53 74 49 43 57
55 48 53 60 48 46 35 38 53 28 64 59 41 46
[1259] 42 37 43 50 43 45 24 23 65 27 46 54 54 27 54 33 42 50 61 49 52 67 41
24 45 44 49 61 27 48 54 34 51 42 69 58 23
[1296] 38 37 49 57 62 48 64 60 49 51 33 59 58 57 62 24 48 57 41 49 40 34 52
56 47 55 34 59 61 52 48 51 51 65 41 38 53
[1333] 47 53 58 56 47 31 40 63 48 59 55 69 37 31 49 63 44 54 64 46 59 33 57
42 42 62 39 54 38 56 51 58 63 60 55 43 45
[1370] 65 39 51 53 36 67 62 47 42 38 56 36 53 64 60 75 69 48 53 51 50 39 52
60 46 61 43 55 62 74 56 32 65 60 37 43 64
[1407] 57 45 38 51 62 52 60 48 52 62 55 75 33 38 44 56 54 49 46 26 84 64 22
55 68 31 43 48 79 69 59 44 67 58 58 71 61
[1444] 53 69 60 70 31 29 18 67 43 69 61 57 50 58 50 66 69 53 68 45 78 63 66
52 59 43 70 57 63 52 49 71 67 59 78 45 62
[1481] 63 60 67 38 55 56 39 26 47 52 65 68 55 37 60 58 67 35 62 74
>
> mean(liberal.bin[age==26])
[1] 0.4
> mean(liberal.bin[age==21])
[1] 0.6
> mean(liberal.bin[age==22])
[1] 0.4
> mean(liberal.bin[age==23])
[1] 0.6667
> mean(liberal.bin[age==24])
[1] 0.4444
> mean(liberal.bin[age==25])
[1] 0.3846
> mean(liberal.bin[age==26])
[1] 0.4
> lowess(age, liberal.bin)
$x
[1] 18 19 19 19 19 20 20 20 21 21 21 21 21 22 22 22 22 22 22 22 22 22 22
22 22 22 22 22 23 23 23 23 23 23 23 23 23
[38] 23 23 23 23 23 23 24 24 24 24 24 24 24 24 24 24 24 24 24 24 24 24 24
24 25 25 25 25 25 25 25 25 25 25 25 25 25
[75] 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 27 27 27
27 27 27 27 27 27 27 27 27 27 27 27 27 27
[112] 27 27 27 27 28 28 28 28 28 28 28 28 28 28 28 28 28 28 28 28 28 28 28
28 28 28 28 28 28 28 28 28 29 29 29 29 29
[149] 29 29 29 29 29 29 29 29 29 29 30 30 30 30 30 30 30 30 30 30 30 30 30
30 30 30 30 30 30 30 31 31 31 31 31 31 31
[186] 31 31 31 31 31 31 31 31 31 31 31 31 31 32 32 32 32 32 32 32 32 32 32
32 32 32 32 32 32 32 32 32 32 32 32 32 32
[223] 32 33 33 33 33 33 33 33 33 33 33 33 33 33 33 33 33 33 33 33 33 33 33
33 34 34 34 34 34 34 34 34 34 34 34 34 34
[260] 34 34 35 35 35 35 35 35 35 35 35 35 35 35 35 36 36 36 36 36 36 36 36
36 36 36 36 36 36 36 36 36 36 36 36 36 36
[297] 37 37 37 37 37 37 37 37 37 37 37 37 37 37 37 37 37 37 37 37 38 38 38
38 38 38 38 38 38 38 38 38 38 38 38 38 38
[334] 38 38 38 38 38 38 38 38 38 38 38 38 38 38 38 38 39 39 39 39 39 39 39
39 39 39 39 39 39 39 39 39 40 40 40 40 40
[371] 40 40 40 40 40 40 40 40 40 40 40 40 40 40 40 40 40 40 40 40 40 40 40
40 41 41 41 41 41 41 41 41 41 41 41 41 41
[408] 41 41 41 41 41 41 41 41 41 41 41 41 41 41 42 42 42 42 42 42 42 42 42
42 42 42 42 42 42 42 42 42 42 42 42 42 42
[445] 42 42 42 42 43 43 43 43 43 43 43 43 43 43 43 43 43 43 43 43 43 43 43
43 43 43 43 43 43 43 43 43 43 43 43 43 43
[482] 44 44 44 44 44 44 44 44 44 44 44 44 44 44 44 44 44 44 44 44 44 44 44
44 44 44 44 45 45 45 45 45 45 45 45 45 45
[519] 45 45 45 45 45 45 45 45 45 45 45 45 45 45 45 45 45 45 45 45 45 45 45
45 45 45 45 45 45 46 46 46 46 46 46 46 46
[556] 46 46 46 46 46 46 46 46 46 46 46 46 46 46 46 46 46 46 46 46 46 46 46
46 46 46 46 46 46 46 46 47 47 47 47 47 47
[593] 47 47 47 47 47 47 47 47 47 47 47 47 47 47 47 47 47 47 47 47 47 47 47
47 47 47 47 47 47 47 47 47 47 47 48 48 48
[630] 48 48 48 48 48 48 48 48 48 48 48 48 48 48 48 48 48 48 48 48 48 48 48
48 48 48 48 48 48 48 48 48 48 48 48 49 49
[667] 49 49 49 49 49 49 49 49 49 49 49 49 49 49 49 49 49 49 49 49 49 49 49
49 49 49 49 49 49 49 49 49 49 49 49 49 49
[704] 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50
50 50 50 50 50 50 50 50 50 50 50 50 50 50
[741] 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 51 51 51 51 51 51
51 51 51 51 51 51 51 51 51 51 51 51 51 51
[778] 51 51 51 51 51 51 51 51 51 51 51 51 51 51 51 51 51 51 51 51 51 51 51
51 51 51 52 52 52 52 52 52 52 52 52 52 52
[815] 52 52 52 52 52 52 52 52 52 52 52 52 52 52 52 52 52 52 52 52 52 52 52
52 53 53 53 53 53 53 53 53 53 53 53 53 53
[852] 53 53 53 53 53 53 53 53 53 53 53 53 53 53 53 53 53 53 53 53 53 53 53
53 53 53 53 53 54 54 54 54 54 54 54 54 54
[889] 54 54 54 54 54 54 54 54 54 54 54 54 54 54 54 54 54 54 54 54 54 54 54
54 55 55 55 55 55 55 55 55 55 55 55 55 55
[926] 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55 55
55 55 55 56 56 56 56 56 56 56 56 56 56 56
[963] 56 56 56 56 56 56 56 56 56 56 56 56 56 56 56 56 56 56 56 56 56 56 56
56 57 57 57 57 57 57 57 57 57 57 57 57 57
[1000] 57 57 57 57 57 57 57 57 57 57 57 57 57 57 57 57 57 57 57 57 57 57 57
57 57 57 57 57 57 57 57 57 57 57 57 58 58
[1037] 58 58 58 58 58 58 58 58 58 58 58 58 58 58 58 58 58 58 58 58 58 58 58
58 58 58 58 58 58 58 58 59 59 59 59 59 59
[1074] 59 59 59 59 59 59 59 59 59 59 59 59 59 59 59 59 59 59 59 59 59 59 59
59 59 59 59 59 59 59 60 60 60 60 60 60 60
[1111] 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60
60 60 60 60 60 60 60 60 60 60 60 60 60 60
[1148] 60 60 61 61 61 61 61 61 61 61 61 61 61 61 61 61 61 61 61 61 61 61 61
61 61 61 61 61 61 61 61 61 61 61 61 61 61
[1185] 62 62 62 62 62 62 62 62 62 62 62 62 62 62 62 62 62 62 62 62 62 62 62
62 62 62 62 62 62 62 62 62 62 62 63 63 63
[1222] 63 63 63 63 63 63 63 63 63 63 63 63 63 63 63 63 63 63 63 63 63 63 63
63 63 63 63 63 63 63 64 64 64 64 64 64 64
[1259] 64 64 64 64 64 64 64 64 64 64 64 64 64 64 64 64 64 64 64 64 65 65 65
65 65 65 65 65 65 65 65 65 65 65 65 65 65
[1296] 65 65 65 65 65 65 65 65 65 65 65 65 66 66 66 66 66 66 66 66 66 66 66
66 66 66 66 66 66 66 66 66 66 67 67 67 67
[1333] 67 67 67 67 67 67 67 67 67 67 67 67 67 67 67 67 68 68 68 68 68 68 68
68 68 68 68 68 68 68 69 69 69 69 69 69 69
[1370] 69 69 69 69 69 69 69 69 69 69 69 69 69 69 69 69 69 69 69 69 69 69 70
70 70 70 70 70 70 70 70 70 70 70 70 70 70
[1407] 70 71 71 71 71 71 71 71 71 71 71 71 71 71 72 72 72 72 72 72 72 72 72
72 72 73 73 73 73 73 73 73 73 73 73 73 74
[1444] 74 74 74 74 74 74 74 74 74 74 74 75 75 75 75 75 75 75 75 75 75 76 76
76 76 76 77 77 77 77 77 77 78 78 78 78 79
[1481] 79 79 79 79 79 79 79 79 80 80 80 81 81 82 83 83 84 85 86 86
$y
[1] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
[57] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
[113] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
[169] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
[225] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
[281] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
[337] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
[393] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
[449] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
[505] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
[561] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
[617] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
[673] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
[729] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
[785] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
[841] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
[897] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
[953] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
[1009] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
[1065] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
[1121] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
[1177] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
[1233] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
[1289] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
[1345] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
[1401] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
[1457] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0
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