I am looking at nest survival of northern bobwhite on a treatment and control area over 3 years. I am not using covariates but I am interested in effects of year, treatment, and time trends on nest survival. I have 6 groups broken up by study plot and year (Group 1: Treatment, Year 1; Group 2: Control, Year 1; Group 3: Treatment, Year 2; etc.). I modeled main effects of year and treatment and added additive and interactive linear and quadratic time trends to the models. All models with a quadratic term in them are at the top.
Not only does nesting season length vary by year (102-150 days) it is even fairly different between treatment and control plots in the same year (as much as a 25 day difference). Plots of daily survival over the nesting season for the year with the longest nesting season take on a gentle quadratic shape. The same plots in the years with shorter nesting season length are more exaggerated and take on a full bell-shape curve with (in some groups) survival starting at 0, approaching nearly 1, and then falling again. Naturally, survival begins to climb once nests are discovered that year and falls as the last nests hatch or fail at the end of the nesting season. Survival levels off at the top before falling again. Number of nests in a group range from 29-45.
I’m wondering if difference in nesting season length is overfitting my nest survival model. While a quadratic time trend has been observed in nest survival for many species, in my dataset this seems like an artifact of sample size instead of a biological response and it makes me wonder if this is justification for eliminating quadratic time trends from my model set. Please let me know if there is anything you would like me to elaborate on. Any advice on this matter would be greatly appreciated.
Ross
Below is the design matrix for the top model, Survival(Year * Treatment * TT).
- Code: Select all
B1: intercept
B2-B5: groups
B6-B7: quadratic time trend
B8-B18: interaction with each group and quadratic time trend
1 1 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0
1 1 0 0 0 0 2 4 2 4 0 0 0 0 0 0 0 0
1 1 0 0 0 0 3 9 3 9 0 0 0 0 0 0 0 0
1 1 0 0 0 0 4 16 4 16 0 0 0 0 0 0 0 0
1 1 0 0 0 0 5 25 5 25 0 0 0 0 0 0 0 0
1 1 0 0 0 0 6 36 6 36 0 0 0 0 0 0 0 0
1 1 0 0 0 0 7 49 7 49 0 0 0 0 0 0 0 0
1 1 0 0 0 0 8 64 8 64 0 0 0 0 0 0 0 0
1 1 0 0 0 0 9 81 9 81 0 0 0 0 0 0 0 0
1 1 0 0 0 0 10 100 10 100 0 0 0 0 0 0 0 0
1 1 0 0 0 0 11 121 11 121 0 0 0 0 0 0 0 0
1 1 0 0 0 0 12 144 12 144 0 0 0 0 0 0 0 0
1 1 0 0 0 0 13 169 13 169 0 0 0 0 0 0 0 0
1 1 0 0 0 0 14 196 14 196 0 0 0 0 0 0 0 0
1 1 0 0 0 0 15 225 15 225 0 0 0 0 0 0 0 0
1 1 0 0 0 0 16 256 16 256 0 0 0 0 0 0 0 0
1 1 0 0 0 0 17 289 17 289 0 0 0 0 0 0 0 0
1 1 0 0 0 0 18 324 18 324 0 0 0 0 0 0 0 0
1 1 0 0 0 0 19 361 19 361 0 0 0 0 0 0 0 0
1 1 0 0 0 0 20 400 20 400 0 0 0 0 0 0 0 0
1 1 0 0 0 0 21 441 21 441 0 0 0 0 0 0 0 0
1 1 0 0 0 0 22 484 22 484 0 0 0 0 0 0 0 0
1 1 0 0 0 0 23 529 23 529 0 0 0 0 0 0 0 0
1 1 0 0 0 0 24 576 24 576 0 0 0 0 0 0 0 0
1 1 0 0 0 0 25 625 25 625 0 0 0 0 0 0 0 0
1 1 0 0 0 0 26 676 26 676 0 0 0 0 0 0 0 0
1 1 0 0 0 0 27 729 27 729 0 0 0 0 0 0 0 0
1 1 0 0 0 0 28 784 28 784 0 0 0 0 0 0 0 0
1 1 0 0 0 0 29 841 29 841 0 0 0 0 0 0 0 0
1 1 0 0 0 0 30 900 30 900 0 0 0 0 0 0 0 0
1 1 0 0 0 0 31 961 31 961 0 0 0 0 0 0 0 0
1 1 0 0 0 0 32 1024 32 1024 0 0 0 0 0 0 0 0
1 1 0 0 0 0 33 1089 33 1089 0 0 0 0 0 0 0 0
1 1 0 0 0 0 34 1156 34 1156 0 0 0 0 0 0 0 0
1 1 0 0 0 0 35 1225 35 1225 0 0 0 0 0 0 0 0
1 1 0 0 0 0 36 1296 36 1296 0 0 0 0 0 0 0 0
1 1 0 0 0 0 37 1369 37 1369 0 0 0 0 0 0 0 0
1 1 0 0 0 0 38 1444 38 1444 0 0 0 0 0 0 0 0
1 1 0 0 0 0 39 1521 39 1521 0 0 0 0 0 0 0 0
1 1 0 0 0 0 40 1600 40 1600 0 0 0 0 0 0 0 0
1 1 0 0 0 0 41 1681 41 1681 0 0 0 0 0 0 0 0
1 1 0 0 0 0 42 1764 42 1764 0 0 0 0 0 0 0 0
1 1 0 0 0 0 43 1849 43 1849 0 0 0 0 0 0 0 0
1 1 0 0 0 0 44 1936 44 1936 0 0 0 0 0 0 0 0
1 1 0 0 0 0 45 2025 45 2025 0 0 0 0 0 0 0 0
1 1 0 0 0 0 46 2116 46 2116 0 0 0 0 0 0 0 0
1 1 0 0 0 0 47 2209 47 2209 0 0 0 0 0 0 0 0
1 1 0 0 0 0 48 2304 48 2304 0 0 0 0 0 0 0 0
1 1 0 0 0 0 49 2401 49 2401 0 0 0 0 0 0 0 0
1 1 0 0 0 0 50 2500 50 2500 0 0 0 0 0 0 0 0
1 1 0 0 0 0 51 2601 51 2601 0 0 0 0 0 0 0 0
1 1 0 0 0 0 52 2704 52 2704 0 0 0 0 0 0 0 0
1 1 0 0 0 0 53 2809 53 2809 0 0 0 0 0 0 0 0
1 1 0 0 0 0 54 2916 54 2916 0 0 0 0 0 0 0 0
1 1 0 0 0 0 55 3025 55 3025 0 0 0 0 0 0 0 0
1 1 0 0 0 0 56 3136 56 3136 0 0 0 0 0 0 0 0
1 1 0 0 0 0 57 3249 57 3249 0 0 0 0 0 0 0 0
1 1 0 0 0 0 58 3364 58 3364 0 0 0 0 0 0 0 0
1 1 0 0 0 0 59 3481 59 3481 0 0 0 0 0 0 0 0
1 1 0 0 0 0 60 3600 60 3600 0 0 0 0 0 0 0 0
1 1 0 0 0 0 61 3721 61 3721 0 0 0 0 0 0 0 0
1 1 0 0 0 0 62 3844 62 3844 0 0 0 0 0 0 0 0
1 1 0 0 0 0 63 3969 63 3969 0 0 0 0 0 0 0 0
1 1 0 0 0 0 64 4096 64 4096 0 0 0 0 0 0 0 0
1 1 0 0 0 0 65 4225 65 4225 0 0 0 0 0 0 0 0
1 1 0 0 0 0 66 4356 66 4356 0 0 0 0 0 0 0 0
1 1 0 0 0 0 67 4489 67 4489 0 0 0 0 0 0 0 0
1 1 0 0 0 0 68 4624 68 4624 0 0 0 0 0 0 0 0
1 1 0 0 0 0 69 4761 69 4761 0 0 0 0 0 0 0 0
1 1 0 0 0 0 70 4900 70 4900 0 0 0 0 0 0 0 0
1 1 0 0 0 0 71 5041 71 5041 0 0 0 0 0 0 0 0
1 1 0 0 0 0 72 5184 72 5184 0 0 0 0 0 0 0 0
1 1 0 0 0 0 73 5329 73 5329 0 0 0 0 0 0 0 0
1 1 0 0 0 0 74 5476 74 5476 0 0 0 0 0 0 0 0
1 1 0 0 0 0 75 5625 75 5625 0 0 0 0 0 0 0 0
1 1 0 0 0 0 76 5776 76 5776 0 0 0 0 0 0 0 0
1 1 0 0 0 0 77 5929 77 5929 0 0 0 0 0 0 0 0
1 1 0 0 0 0 78 6084 78 6084 0 0 0 0 0 0 0 0
1 1 0 0 0 0 79 6241 79 6241 0 0 0 0 0 0 0 0
1 1 0 0 0 0 80 6400 80 6400 0 0 0 0 0 0 0 0
1 1 0 0 0 0 81 6561 81 6561 0 0 0 0 0 0 0 0
1 1 0 0 0 0 82 6724 82 6724 0 0 0 0 0 0 0 0
1 1 0 0 0 0 83 6889 83 6889 0 0 0 0 0 0 0 0
1 1 0 0 0 0 84 7056 84 7056 0 0 0 0 0 0 0 0
1 1 0 0 0 0 85 7225 85 7225 0 0 0 0 0 0 0 0
1 1 0 0 0 0 86 7396 86 7396 0 0 0 0 0 0 0 0
1 1 0 0 0 0 87 7569 87 7569 0 0 0 0 0 0 0 0
1 1 0 0 0 0 88 7744 88 7744 0 0 0 0 0 0 0 0
1 1 0 0 0 0 89 7921 89 7921 0 0 0 0 0 0 0 0
1 1 0 0 0 0 90 8100 90 8100 0 0 0 0 0 0 0 0
1 1 0 0 0 0 91 8281 91 8281 0 0 0 0 0 0 0 0
1 1 0 0 0 0 92 8464 92 8464 0 0 0 0 0 0 0 0
1 1 0 0 0 0 93 8649 93 8649 0 0 0 0 0 0 0 0
1 1 0 0 0 0 94 8836 94 8836 0 0 0 0 0 0 0 0
1 1 0 0 0 0 95 9025 95 9025 0 0 0 0 0 0 0 0
1 1 0 0 0 0 96 9216 96 9216 0 0 0 0 0 0 0 0
1 1 0 0 0 0 97 9409 97 9409 0 0 0 0 0 0 0 0
1 1 0 0 0 0 98 9604 98 9604 0 0 0 0 0 0 0 0
1 1 0 0 0 0 99 9801 99 9801 0 0 0 0 0 0 0 0
1 1 0 0 0 0 100 10000 100 10000 0 0 0 0 0 0 0 0
1 1 0 0 0 0 101 10201 101 10201 0 0 0 0 0 0 0 0
1 1 0 0 0 0 102 10404 102 10404 0 0 0 0 0 0 0 0
1 1 0 0 0 0 103 10609 103 10609 0 0 0 0 0 0 0 0
1 1 0 0 0 0 104 10816 104 10816 0 0 0 0 0 0 0 0
1 1 0 0 0 0 105 11025 105 11025 0 0 0 0 0 0 0 0
1 1 0 0 0 0 106 11236 106 11236 0 0 0 0 0 0 0 0
1 1 0 0 0 0 107 11449 107 11449 0 0 0 0 0 0 0 0
1 1 0 0 0 0 108 11664 108 11664 0 0 0 0 0 0 0 0
1 1 0 0 0 0 109 11881 109 11881 0 0 0 0 0 0 0 0
1 1 0 0 0 0 110 12100 110 12100 0 0 0 0 0 0 0 0
1 1 0 0 0 0 111 12321 111 12321 0 0 0 0 0 0 0 0
1 1 0 0 0 0 112 12544 112 12544 0 0 0 0 0 0 0 0
1 1 0 0 0 0 113 12769 113 12769 0 0 0 0 0 0 0 0
1 1 0 0 0 0 114 12996 114 12996 0 0 0 0 0 0 0 0
1 1 0 0 0 0 115 13225 115 13225 0 0 0 0 0 0 0 0
1 1 0 0 0 0 116 13456 116 13456 0 0 0 0 0 0 0 0
1 1 0 0 0 0 117 13689 117 13689 0 0 0 0 0 0 0 0
1 1 0 0 0 0 118 13924 118 13924 0 0 0 0 0 0 0 0
1 1 0 0 0 0 119 14161 119 14161 0 0 0 0 0 0 0 0
1 1 0 0 0 0 120 14400 120 14400 0 0 0 0 0 0 0 0
1 1 0 0 0 0 121 14641 121 14641 0 0 0 0 0 0 0 0
1 1 0 0 0 0 122 14884 122 14884 0 0 0 0 0 0 0 0
1 1 0 0 0 0 123 15129 123 15129 0 0 0 0 0 0 0 0
1 1 0 0 0 0 124 15376 124 15376 0 0 0 0 0 0 0 0
1 1 0 0 0 0 125 15625 125 15625 0 0 0 0 0 0 0 0
1 1 0 0 0 0 126 15876 126 15876 0 0 0 0 0 0 0 0
1 1 0 0 0 0 127 16129 127 16129 0 0 0 0 0 0 0 0
1 1 0 0 0 0 128 16384 128 16384 0 0 0 0 0 0 0 0
1 1 0 0 0 0 129 16641 129 16641 0 0 0 0 0 0 0 0
1 1 0 0 0 0 130 16900 130 16900 0 0 0 0 0 0 0 0
1 1 0 0 0 0 131 17161 131 17161 0 0 0 0 0 0 0 0
1 1 0 0 0 0 132 17424 132 17424 0 0 0 0 0 0 0 0
1 1 0 0 0 0 133 17689 133 17689 0 0 0 0 0 0 0 0
1 1 0 0 0 0 134 17956 134 17956 0 0 0 0 0 0 0 0
1 1 0 0 0 0 135 18225 135 18225 0 0 0 0 0 0 0 0
1 1 0 0 0 0 136 18496 136 18496 0 0 0 0 0 0 0 0
1 1 0 0 0 0 137 18769 137 18769 0 0 0 0 0 0 0 0
1 1 0 0 0 0 138 19044 138 19044 0 0 0 0 0 0 0 0
1 1 0 0 0 0 139 19321 139 19321 0 0 0 0 0 0 0 0
1 1 0 0 0 0 140 19600 140 19600 0 0 0 0 0 0 0 0
1 1 0 0 0 0 141 19881 141 19881 0 0 0 0 0 0 0 0
1 1 0 0 0 0 142 20164 142 20164 0 0 0 0 0 0 0 0
1 1 0 0 0 0 143 20449 143 20449 0 0 0 0 0 0 0 0
1 1 0 0 0 0 144 20736 144 20736 0 0 0 0 0 0 0 0
1 1 0 0 0 0 145 21025 145 21025 0 0 0 0 0 0 0 0
1 1 0 0 0 0 146 21316 146 21316 0 0 0 0 0 0 0 0
1 1 0 0 0 0 147 21609 147 21609 0 0 0 0 0 0 0 0
1 1 0 0 0 0 148 21904 148 21904 0 0 0 0 0 0 0 0
1 1 0 0 0 0 149 22201 149 22201 0 0 0 0 0 0 0 0
1 0 1 0 0 0 1 1 0 0 1 1 0 0 0 0 0 0
1 0 1 0 0 0 2 4 0 0 2 4 0 0 0 0 0 0
1 0 1 0 0 0 3 9 0 0 3 9 0 0 0 0 0 0
1 0 1 0 0 0 4 16 0 0 4 16 0 0 0 0 0 0
1 0 1 0 0 0 5 25 0 0 5 25 0 0 0 0 0 0
1 0 1 0 0 0 6 36 0 0 6 36 0 0 0 0 0 0
1 0 1 0 0 0 7 49 0 0 7 49 0 0 0 0 0 0
1 0 1 0 0 0 8 64 0 0 8 64 0 0 0 0 0 0
1 0 1 0 0 0 9 81 0 0 9 81 0 0 0 0 0 0
1 0 1 0 0 0 10 100 0 0 10 100 0 0 0 0 0 0
1 0 1 0 0 0 11 121 0 0 11 121 0 0 0 0 0 0
1 0 1 0 0 0 12 144 0 0 12 144 0 0 0 0 0 0
1 0 1 0 0 0 13 169 0 0 13 169 0 0 0 0 0 0
1 0 1 0 0 0 14 196 0 0 14 196 0 0 0 0 0 0
1 0 1 0 0 0 15 225 0 0 15 225 0 0 0 0 0 0
1 0 1 0 0 0 16 256 0 0 16 256 0 0 0 0 0 0
1 0 1 0 0 0 17 289 0 0 17 289 0 0 0 0 0 0
1 0 1 0 0 0 18 324 0 0 18 324 0 0 0 0 0 0
1 0 1 0 0 0 19 361 0 0 19 361 0 0 0 0 0 0
1 0 1 0 0 0 20 400 0 0 20 400 0 0 0 0 0 0
1 0 1 0 0 0 21 441 0 0 21 441 0 0 0 0 0 0
1 0 1 0 0 0 22 484 0 0 22 484 0 0 0 0 0 0
1 0 1 0 0 0 23 529 0 0 23 529 0 0 0 0 0 0
1 0 1 0 0 0 24 576 0 0 24 576 0 0 0 0 0 0
1 0 1 0 0 0 25 625 0 0 25 625 0 0 0 0 0 0
1 0 1 0 0 0 26 676 0 0 26 676 0 0 0 0 0 0
1 0 1 0 0 0 27 729 0 0 27 729 0 0 0 0 0 0
1 0 1 0 0 0 28 784 0 0 28 784 0 0 0 0 0 0
1 0 1 0 0 0 29 841 0 0 29 841 0 0 0 0 0 0
1 0 1 0 0 0 30 900 0 0 30 900 0 0 0 0 0 0
1 0 1 0 0 0 31 961 0 0 31 961 0 0 0 0 0 0
1 0 1 0 0 0 32 1024 0 0 32 1024 0 0 0 0 0 0
1 0 1 0 0 0 33 1089 0 0 33 1089 0 0 0 0 0 0
1 0 1 0 0 0 34 1156 0 0 34 1156 0 0 0 0 0 0
1 0 1 0 0 0 35 1225 0 0 35 1225 0 0 0 0 0 0
1 0 1 0 0 0 36 1296 0 0 36 1296 0 0 0 0 0 0
1 0 1 0 0 0 37 1369 0 0 37 1369 0 0 0 0 0 0
1 0 1 0 0 0 38 1444 0 0 38 1444 0 0 0 0 0 0
1 0 1 0 0 0 39 1521 0 0 39 1521 0 0 0 0 0 0
1 0 1 0 0 0 40 1600 0 0 40 1600 0 0 0 0 0 0
1 0 1 0 0 0 41 1681 0 0 41 1681 0 0 0 0 0 0
1 0 1 0 0 0 42 1764 0 0 42 1764 0 0 0 0 0 0
1 0 1 0 0 0 43 1849 0 0 43 1849 0 0 0 0 0 0
1 0 1 0 0 0 44 1936 0 0 44 1936 0 0 0 0 0 0
1 0 1 0 0 0 45 2025 0 0 45 2025 0 0 0 0 0 0
1 0 1 0 0 0 46 2116 0 0 46 2116 0 0 0 0 0 0
1 0 1 0 0 0 47 2209 0 0 47 2209 0 0 0 0 0 0
1 0 1 0 0 0 48 2304 0 0 48 2304 0 0 0 0 0 0
1 0 1 0 0 0 49 2401 0 0 49 2401 0 0 0 0 0 0
1 0 1 0 0 0 50 2500 0 0 50 2500 0 0 0 0 0 0
1 0 1 0 0 0 51 2601 0 0 51 2601 0 0 0 0 0 0
1 0 1 0 0 0 52 2704 0 0 52 2704 0 0 0 0 0 0
1 0 1 0 0 0 53 2809 0 0 53 2809 0 0 0 0 0 0
1 0 1 0 0 0 54 2916 0 0 54 2916 0 0 0 0 0 0
1 0 1 0 0 0 55 3025 0 0 55 3025 0 0 0 0 0 0
1 0 1 0 0 0 56 3136 0 0 56 3136 0 0 0 0 0 0
1 0 1 0 0 0 57 3249 0 0 57 3249 0 0 0 0 0 0
1 0 1 0 0 0 58 3364 0 0 58 3364 0 0 0 0 0 0
1 0 1 0 0 0 59 3481 0 0 59 3481 0 0 0 0 0 0
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1 0 1 0 0 0 63 3969 0 0 63 3969 0 0 0 0 0 0
1 0 1 0 0 0 64 4096 0 0 64 4096 0 0 0 0 0 0
1 0 1 0 0 0 65 4225 0 0 65 4225 0 0 0 0 0 0
1 0 1 0 0 0 66 4356 0 0 66 4356 0 0 0 0 0 0
1 0 1 0 0 0 67 4489 0 0 67 4489 0 0 0 0 0 0
1 0 1 0 0 0 68 4624 0 0 68 4624 0 0 0 0 0 0
1 0 1 0 0 0 69 4761 0 0 69 4761 0 0 0 0 0 0
1 0 1 0 0 0 70 4900 0 0 70 4900 0 0 0 0 0 0
1 0 1 0 0 0 71 5041 0 0 71 5041 0 0 0 0 0 0
1 0 1 0 0 0 72 5184 0 0 72 5184 0 0 0 0 0 0
1 0 1 0 0 0 73 5329 0 0 73 5329 0 0 0 0 0 0
1 0 1 0 0 0 74 5476 0 0 74 5476 0 0 0 0 0 0
1 0 1 0 0 0 75 5625 0 0 75 5625 0 0 0 0 0 0
1 0 1 0 0 0 76 5776 0 0 76 5776 0 0 0 0 0 0
1 0 1 0 0 0 77 5929 0 0 77 5929 0 0 0 0 0 0
1 0 1 0 0 0 78 6084 0 0 78 6084 0 0 0 0 0 0
1 0 1 0 0 0 79 6241 0 0 79 6241 0 0 0 0 0 0
1 0 1 0 0 0 80 6400 0 0 80 6400 0 0 0 0 0 0
1 0 1 0 0 0 81 6561 0 0 81 6561 0 0 0 0 0 0
1 0 1 0 0 0 82 6724 0 0 82 6724 0 0 0 0 0 0
1 0 1 0 0 0 83 6889 0 0 83 6889 0 0 0 0 0 0
1 0 1 0 0 0 84 7056 0 0 84 7056 0 0 0 0 0 0
1 0 1 0 0 0 85 7225 0 0 85 7225 0 0 0 0 0 0
1 0 1 0 0 0 86 7396 0 0 86 7396 0 0 0 0 0 0
1 0 1 0 0 0 87 7569 0 0 87 7569 0 0 0 0 0 0
1 0 1 0 0 0 88 7744 0 0 88 7744 0 0 0 0 0 0
1 0 1 0 0 0 89 7921 0 0 89 7921 0 0 0 0 0 0
1 0 1 0 0 0 90 8100 0 0 90 8100 0 0 0 0 0 0
1 0 1 0 0 0 91 8281 0 0 91 8281 0 0 0 0 0 0
1 0 1 0 0 0 92 8464 0 0 92 8464 0 0 0 0 0 0
1 0 1 0 0 0 93 8649 0 0 93 8649 0 0 0 0 0 0
1 0 1 0 0 0 94 8836 0 0 94 8836 0 0 0 0 0 0
1 0 1 0 0 0 95 9025 0 0 95 9025 0 0 0 0 0 0
1 0 1 0 0 0 96 9216 0 0 96 9216 0 0 0 0 0 0
1 0 1 0 0 0 97 9409 0 0 97 9409 0 0 0 0 0 0
1 0 1 0 0 0 98 9604 0 0 98 9604 0 0 0 0 0 0
1 0 1 0 0 0 99 9801 0 0 99 9801 0 0 0 0 0 0
1 0 1 0 0 0 100 10000 0 0 100 10000 0 0 0 0 0 0
1 0 1 0 0 0 101 10201 0 0 101 10201 0 0 0 0 0 0
1 0 1 0 0 0 102 10404 0 0 102 10404 0 0 0 0 0 0
1 0 1 0 0 0 103 10609 0 0 103 10609 0 0 0 0 0 0
1 0 1 0 0 0 104 10816 0 0 104 10816 0 0 0 0 0 0
1 0 1 0 0 0 105 11025 0 0 105 11025 0 0 0 0 0 0
1 0 1 0 0 0 106 11236 0 0 106 11236 0 0 0 0 0 0
1 0 1 0 0 0 107 11449 0 0 107 11449 0 0 0 0 0 0
1 0 1 0 0 0 108 11664 0 0 108 11664 0 0 0 0 0 0
1 0 1 0 0 0 109 11881 0 0 109 11881 0 0 0 0 0 0
1 0 1 0 0 0 110 12100 0 0 110 12100 0 0 0 0 0 0
1 0 1 0 0 0 111 12321 0 0 111 12321 0 0 0 0 0 0
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1 0 1 0 0 0 113 12769 0 0 113 12769 0 0 0 0 0 0
1 0 1 0 0 0 114 12996 0 0 114 12996 0 0 0 0 0 0
1 0 1 0 0 0 115 13225 0 0 115 13225 0 0 0 0 0 0
1 0 1 0 0 0 116 13456 0 0 116 13456 0 0 0 0 0 0
1 0 1 0 0 0 117 13689 0 0 117 13689 0 0 0 0 0 0
1 0 1 0 0 0 118 13924 0 0 118 13924 0 0 0 0 0 0
1 0 1 0 0 0 119 14161 0 0 119 14161 0 0 0 0 0 0
1 0 1 0 0 0 120 14400 0 0 120 14400 0 0 0 0 0 0
1 0 1 0 0 0 121 14641 0 0 121 14641 0 0 0 0 0 0
1 0 1 0 0 0 122 14884 0 0 122 14884 0 0 0 0 0 0
1 0 1 0 0 0 123 15129 0 0 123 15129 0 0 0 0 0 0
1 0 1 0 0 0 124 15376 0 0 124 15376 0 0 0 0 0 0
1 0 1 0 0 0 125 15625 0 0 125 15625 0 0 0 0 0 0
1 0 1 0 0 0 126 15876 0 0 126 15876 0 0 0 0 0 0
1 0 1 0 0 0 127 16129 0 0 127 16129 0 0 0 0 0 0
1 0 1 0 0 0 128 16384 0 0 128 16384 0 0 0 0 0 0
1 0 1 0 0 0 129 16641 0 0 129 16641 0 0 0 0 0 0
1 0 1 0 0 0 130 16900 0 0 130 16900 0 0 0 0 0 0
1 0 1 0 0 0 131 17161 0 0 131 17161 0 0 0 0 0 0
1 0 1 0 0 0 132 17424 0 0 132 17424 0 0 0 0 0 0
1 0 1 0 0 0 133 17689 0 0 133 17689 0 0 0 0 0 0
1 0 1 0 0 0 134 17956 0 0 134 17956 0 0 0 0 0 0
1 0 1 0 0 0 135 18225 0 0 135 18225 0 0 0 0 0 0
1 0 1 0 0 0 136 18496 0 0 136 18496 0 0 0 0 0 0
1 0 1 0 0 0 137 18769 0 0 137 18769 0 0 0 0 0 0
1 0 1 0 0 0 138 19044 0 0 138 19044 0 0 0 0 0 0
1 0 1 0 0 0 139 19321 0 0 139 19321 0 0 0 0 0 0
1 0 1 0 0 0 140 19600 0 0 140 19600 0 0 0 0 0 0
1 0 1 0 0 0 141 19881 0 0 141 19881 0 0 0 0 0 0
1 0 1 0 0 0 142 20164 0 0 142 20164 0 0 0 0 0 0
1 0 1 0 0 0 143 20449 0 0 143 20449 0 0 0 0 0 0
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1 0 1 0 0 0 145 21025 0 0 145 21025 0 0 0 0 0 0
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1 0 1 0 0 0 147 21609 0 0 147 21609 0 0 0 0 0 0
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1 0 1 0 0 0 149 22201 0 0 149 22201 0 0 0 0 0 0
1 0 0 1 0 0 1 1 0 0 0 0 1 1 0 0 0 0
1 0 0 1 0 0 2 4 0 0 0 0 2 4 0 0 0 0
1 0 0 1 0 0 3 9 0 0 0 0 3 9 0 0 0 0
1 0 0 1 0 0 4 16 0 0 0 0 4 16 0 0 0 0
1 0 0 1 0 0 5 25 0 0 0 0 5 25 0 0 0 0
1 0 0 1 0 0 6 36 0 0 0 0 6 36 0 0 0 0
1 0 0 1 0 0 7 49 0 0 0 0 7 49 0 0 0 0
1 0 0 1 0 0 8 64 0 0 0 0 8 64 0 0 0 0
1 0 0 1 0 0 9 81 0 0 0 0 9 81 0 0 0 0
1 0 0 1 0 0 10 100 0 0 0 0 10 100 0 0 0 0
1 0 0 1 0 0 11 121 0 0 0 0 11 121 0 0 0 0
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1 0 0 1 0 0 13 169 0 0 0 0 13 169 0 0 0 0
1 0 0 1 0 0 14 196 0 0 0 0 14 196 0 0 0 0
1 0 0 1 0 0 15 225 0 0 0 0 15 225 0 0 0 0
1 0 0 1 0 0 16 256 0 0 0 0 16 256 0 0 0 0
1 0 0 1 0 0 17 289 0 0 0 0 17 289 0 0 0 0
1 0 0 1 0 0 18 324 0 0 0 0 18 324 0 0 0 0
1 0 0 1 0 0 19 361 0 0 0 0 19 361 0 0 0 0
1 0 0 1 0 0 20 400 0 0 0 0 20 400 0 0 0 0
1 0 0 1 0 0 21 441 0 0 0 0 21 441 0 0 0 0
1 0 0 1 0 0 22 484 0 0 0 0 22 484 0 0 0 0
1 0 0 1 0 0 23 529 0 0 0 0 23 529 0 0 0 0
1 0 0 1 0 0 24 576 0 0 0 0 24 576 0 0 0 0
1 0 0 1 0 0 25 625 0 0 0 0 25 625 0 0 0 0
1 0 0 1 0 0 26 676 0 0 0 0 26 676 0 0 0 0
1 0 0 1 0 0 27 729 0 0 0 0 27 729 0 0 0 0
1 0 0 1 0 0 28 784 0 0 0 0 28 784 0 0 0 0
1 0 0 1 0 0 29 841 0 0 0 0 29 841 0 0 0 0
1 0 0 1 0 0 30 900 0 0 0 0 30 900 0 0 0 0
1 0 0 1 0 0 31 961 0 0 0 0 31 961 0 0 0 0
1 0 0 1 0 0 32 1024 0 0 0 0 32 1024 0 0 0 0
1 0 0 1 0 0 33 1089 0 0 0 0 33 1089 0 0 0 0
1 0 0 1 0 0 34 1156 0 0 0 0 34 1156 0 0 0 0
1 0 0 1 0 0 35 1225 0 0 0 0 35 1225 0 0 0 0
1 0 0 1 0 0 36 1296 0 0 0 0 36 1296 0 0 0 0
1 0 0 1 0 0 37 1369 0 0 0 0 37 1369 0 0 0 0
1 0 0 1 0 0 38 1444 0 0 0 0 38 1444 0 0 0 0
1 0 0 1 0 0 39 1521 0 0 0 0 39 1521 0 0 0 0
1 0 0 1 0 0 40 1600 0 0 0 0 40 1600 0 0 0 0
1 0 0 1 0 0 41 1681 0 0 0 0 41 1681 0 0 0 0
1 0 0 1 0 0 42 1764 0 0 0 0 42 1764 0 0 0 0
1 0 0 1 0 0 43 1849 0 0 0 0 43 1849 0 0 0 0
1 0 0 1 0 0 44 1936 0 0 0 0 44 1936 0 0 0 0
1 0 0 1 0 0 45 2025 0 0 0 0 45 2025 0 0 0 0
1 0 0 1 0 0 46 2116 0 0 0 0 46 2116 0 0 0 0
1 0 0 1 0 0 47 2209 0 0 0 0 47 2209 0 0 0 0
1 0 0 1 0 0 48 2304 0 0 0 0 48 2304 0 0 0 0
1 0 0 1 0 0 49 2401 0 0 0 0 49 2401 0 0 0 0
1 0 0 1 0 0 50 2500 0 0 0 0 50 2500 0 0 0 0
1 0 0 1 0 0 51 2601 0 0 0 0 51 2601 0 0 0 0
1 0 0 1 0 0 52 2704 0 0 0 0 52 2704 0 0 0 0
1 0 0 1 0 0 53 2809 0 0 0 0 53 2809 0 0 0 0
1 0 0 1 0 0 54 2916 0 0 0 0 54 2916 0 0 0 0
1 0 0 1 0 0 55 3025 0 0 0 0 55 3025 0 0 0 0
1 0 0 1 0 0 56 3136 0 0 0 0 56 3136 0 0 0 0
1 0 0 1 0 0 57 3249 0 0 0 0 57 3249 0 0 0 0
1 0 0 1 0 0 58 3364 0 0 0 0 58 3364 0 0 0 0
1 0 0 1 0 0 59 3481 0 0 0 0 59 3481 0 0 0 0
1 0 0 1 0 0 60 3600 0 0 0 0 60 3600 0 0 0 0
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