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5, 5, 5, 5, 5, 5, 5, 5] +} diff --git a/ARM/Ch.13/radon.data.json b/ARM/Ch.13/radon.data.json new file mode 100644 index 00000000..9508e962 --- /dev/null +++ b/ARM/Ch.13/radon.data.json @@ -0,0 +1,9 @@ +{ + "u": [-0.689047595, -0.689047595, -0.689047595, -0.689047595, -0.84731286, -0.84731286, -0.84731286, -0.84731286, -0.84731286, -0.84731286, -0.84731286, -0.84731286, -0.84731286, -0.84731286, -0.84731286, -0.84731286, -0.84731286, -0.84731286, -0.84731286, -0.84731286, -0.84731286, -0.84731286, -0.84731286, -0.84731286, -0.84731286, -0.84731286, -0.84731286, -0.84731286, -0.84731286, -0.84731286, -0.84731286, -0.84731286, -0.84731286, -0.84731286, -0.84731286, -0.84731286, -0.84731286, -0.84731286, -0.84731286, -0.84731286, -0.84731286, -0.84731286, -0.84731286, -0.84731286, -0.84731286, -0.84731286, -0.84731286, -0.84731286, -0.84731286, -0.84731286, -0.84731286, -0.84731286, -0.84731286, -0.84731286, -0.84731286, -0.84731286, -0.113458774, -0.113458774, -0.113458774, -0.593352526, 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0.333333333333333, 1, 0.125, 1, 0.25, 0, 0.5, 0.125, 0.5, 1, 0.125, 0.857142857142857, 0.5, 0.666666666666667, 0.333333333333333, 0, 0.142857142857143, 1, 0, 1, 0.142857142857143, 0, 0.714285714285714, 0, 0.285714285714286, 1, 0.142857142857143, 1, 0.428571428571429, 0, 0.285714285714286, 0.857142857142857, 0.857142857142857, 0.857142857142857, 0.142857142857143, 0.75], + "scenario_id": [1, 2, 3, 4, 5, 6, 7, 8, 1, 2, 3, 4, 5, 6, 7, 8, 1, 2, 3, 4, 5, 6, 7, 8, 1, 2, 3, 4, 5, 6, 7, 8, 1, 2, 3, 4, 5, 6, 7, 8], + "n_scenarios": 8, + "n_groups": 5, + "N": 40, + "group_id": [1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5] +} diff --git a/ARM/Ch.14/pilots_chr.data.json b/ARM/Ch.14/pilots_chr.data.json new file mode 100644 index 00000000..30f9eaaf --- /dev/null +++ b/ARM/Ch.14/pilots_chr.data.json @@ -0,0 +1,8 @@ +{ + "y": [0.375, 0, 0.375, 0, 0.333333333333333, 1, 0.125, 1, 0.25, 0, 0.5, 0.125, 0.5, 1, 0.125, 0.857142857142857, 0.5, 0.666666666666667, 0.333333333333333, 0, 0.142857142857143, 1, 0, 1, 0.142857142857143, 0, 0.714285714285714, 0, 0.285714285714286, 1, 0.142857142857143, 1, 0.428571428571429, 0, 0.285714285714286, 0.857142857142857, 0.857142857142857, 0.857142857142857, 0.142857142857143, 0.75], + "scenario_id": [1, 2, 3, 4, 5, 6, 7, 8, 1, 2, 3, 4, 5, 6, 7, 8, 1, 2, 3, 4, 5, 6, 7, 8, 1, 2, 3, 4, 5, 6, 7, 8, 1, 2, 3, 4, 5, 6, 7, 8], + "n_scenarios": 8, + "n_groups": 5, + "N": 40, + "group_id": [1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5] +} diff --git a/ARM/Ch.17/flight_simulator_17.3.data.json b/ARM/Ch.17/flight_simulator_17.3.data.json new file mode 100644 index 00000000..baae2150 --- /dev/null +++ b/ARM/Ch.17/flight_simulator_17.3.data.json @@ -0,0 +1,8 @@ +{ + "y": [0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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8, 1, 2, 3, 4, 5, 6, 7, 8, 1, 2, 3, 4, 5, 6, 7, 8, 1, 2, 3, 4, 5, 6, 7, 8], + "treatment": [1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5], + "n_scenarios": 8, + "n_groups": 5, + "N": 40, + "n_treatment": 5, + "group_id": [1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5] +} diff --git a/ARM/Ch.19/pilots_expansion.data.json b/ARM/Ch.19/pilots_expansion.data.json new file mode 100644 index 00000000..14c01242 --- /dev/null +++ b/ARM/Ch.19/pilots_expansion.data.json @@ -0,0 +1,12 @@ +{ + "n_airport": 8, + "y": [0.375, 0, 0.375, 0, 0.333333333333333, 1, 0.125, 1, 0.25, 0, 0.5, 0.125, 0.5, 1, 0.125, 0.857142857142857, 0.5, 0.666666666666667, 0.333333333333333, 0, 0.142857142857143, 1, 0, 1, 0.142857142857143, 0, 0.714285714285714, 0, 0.285714285714286, 1, 0.142857142857143, 1, 0.428571428571429, 0, 0.285714285714286, 0.857142857142857, 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b/ARM/Ch.4/kidiq_interaction_c2.data.json new file mode 100644 index 00000000..12667fac --- /dev/null +++ b/ARM/Ch.4/kidiq_interaction_c2.data.json @@ -0,0 +1,7 @@ +{ + "mom_hs": [1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 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a/ARM/Ch.4/logearn_interaction.data.json b/ARM/Ch.4/logearn_interaction.data.json new file mode 100644 index 00000000..486cdb14 --- /dev/null +++ b/ARM/Ch.4/logearn_interaction.data.json @@ -0,0 +1,6 @@ +{ + "earn": [50000, 60000, 30000, 50000, 51000, 9000, 29000, 32000, 2000, 27000, 6530, 30000, 12000, 12000, 22000, 17000, 40000, 44000, 7000, 53000, 5000, 14000, 5500, 40000, 34000, 10000, 27000, 50000, 41000, 15000, 25000, 75000, 27000, 12000, 7500, 30000, 21000, 27000, 3000, 25000, 24000, 32000, 10000, 11000, 18700, 20000, 3500, 13000, 25000, 21000, 34000, 6000, 17000, 35000, 4000, 14000, 10000, 25000, 16000, 16000, 16500, 4000, 3840, 22000, 200, 26000, 2500, 17000, 8000, 12000, 10000, 10000, 15000, 2400, 30000, 30000, 10000, 5000, 12000, 20000, 20000, 20000, 1200, 700, 20000, 10000, 30000, 40000, 25000, 10000, 60000, 18000, 16040, 15000, 10000, 33000, 18000, 15000, 21000, 21000, 37000, 38000, 17000, 32000, 27500, 16500, 25000, 27000, 5000, 70000, 5000, 5000, 20000, 4000, 60000, 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b/ARM/Ch.5/wells_daae_c.data.json new file mode 100644 index 00000000..dee516e2 --- /dev/null +++ b/ARM/Ch.5/wells_daae_c.data.json @@ -0,0 +1,8 @@ +{ + "educ": [0, 0, 10, 12, 14, 9, 4, 10, 0, 0, 5, 0, 0, 0, 0, 7, 7, 7, 0, 10, 7, 0, 5, 0, 8, 8, 10, 16, 10, 10, 10, 10, 0, 0, 0, 3, 0, 10, 0, 0, 0, 0, 0, 5, 0, 10, 5, 0, 8, 0, 0, 0, 0, 5, 8, 0, 0, 0, 6, 10, 10, 12, 7, 6, 5, 0, 0, 7, 5, 0, 5, 0, 0, 8, 3, 5, 0, 8, 0, 8, 8, 0, 5, 5, 3, 5, 0, 12, 5, 0, 5, 0, 8, 0, 5, 0, 5, 14, 14, 0, 5, 5, 3, 5, 12, 5, 8, 5, 5, 5, 5, 0, 5, 5, 5, 9, 3, 4, 5, 10, 0, 8, 12, 0, 0, 9, 10, 12, 0, 3, 0, 0, 0, 0, 5, 3, 3, 2, 5, 0, 5, 5, 6, 5, 5, 0, 0, 0, 0, 0, 5, 8, 0, 5, 10, 8, 0, 5, 5, 3, 5, 3, 4, 0, 5, 5, 0, 2, 5, 0, 10, 0, 5, 5, 5, 0, 9, 0, 9, 0, 0, 5, 5, 0, 0, 0, 0, 10, 5, 10, 5, 0, 10, 4, 0, 5, 12, 10, 10, 5, 10, 5, 0, 10, 7, 5, 0, 14, 0, 5, 5, 0, 5, 5, 7, 0, 0, 5, 12, 5, 5, 0, 0, 5, 5, 0, 0, 0, 7, 10, 5, 5, 0, 10, 10, 5, 0, 0, 5, 12, 5, 5, 10, 2, 10, 0, 10, 8, 0, 8, 14, 4, 12, 2, 10, 5, 10, 5, 12, 4, 8, 5, 15, 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2.99, 0.87, 1.19, 3.26, 6.53, 4.22, 3.67, 3.58, 3.21, 3.52, 3.32, 2, 2.89, 3.12, 2.13, 1.68, 0.88, 2.69, 3.36, 2.18, 1.36, 3.46, 2.88, 2.1, 2.45, 2.98, 2.27, 2.37, 1.67, 2.08, 2.17, 2.18, 1.92, 2.61, 2.03, 5.06, 2.38, 2.96, 3.12, 1.67, 2.39, 2.66, 3.31, 5.41, 2.41, 0.62, 1.28, 2.04, 2.31, 2.46, 1.92, 3.26, 1.85, 2.05, 1.65, 0.61, 1.99, 3.56, 1.98, 2.06, 1.7, 2.02, 2.13, 0.67, 3.34, 2.32, 1.88, 2.82, 2.47, 2.86, 3.26, 0.92, 1.46, 2.86, 3.27, 3.45, 4.46, 3.32, 4.78, 3.86, 2.97, 2.72, 3.01, 1.29, 1.95, 5.28, 6, 3.36, 2.61, 2.39, 1.09, 3.75, 1.24, 4.74, 4.25, 1.36, 3.41, 2.72, 2.6, 2.64, 3.34, 3.28, 3.62, 3.12, 1.83, 2.98, 2.79, 2.24, 1.56, 1.35, 1.95, 1.7, 1.15, 1.98, 0.96, 1.48, 0.87, 0.63, 1.21, 2.05, 2.96, 1.4, 2.64, 1.95, 5.54, 1.12, 2.18, 3.02, 1.77, 1.46, 1.38, 1.63, 1.33, 3.48, 1.95, 0.84, 2.65, 1.56, 0.69, 2.31, 1.14, 1.98, 1.82, 1.09, 0.56, 2.18, 1.31, 1.06, 1.25, 0.87, 1.32, 1.84, 0.95, 1.12, 1.32, 0.81, 0.57, 2, 1.22, 1.91, 1.41, 1.57, 1.11, 1.3, 1.05, 0.95, 1.68, 1.26, 1.34, 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79, 91, 77, 65, 76, 70, 80, 77, 89, 70, 88, 71, 66, 81, 67, 81, 79, 68, 77, 70, 75], + "final": [103, 79, 122, 78, 135, 117, 135, 123, 109, 126, 124, 126, 130, 117, 133, 118, 127, 118, 138, 143, 135, 129, 91, 95, 121, 131, 144, 112, 132, 121, 121, 126, 116, 112, 114, 121, 126, 122, 118, 123, 87, 136, 120, 140, 125, 86, 145, 128, 121, 98, 134, 99], + "N": 52 +} diff --git a/ARM/Ch.8/lightspeed.data.json b/ARM/Ch.8/lightspeed.data.json new file mode 100644 index 00000000..a2fb9ac3 --- /dev/null +++ b/ARM/Ch.8/lightspeed.data.json @@ -0,0 +1,4 @@ +{ + "y": [28, 26, 33, 24, 34, -44, 27, 16, 40, -2, 29, 22, 24, 21, 25, 30, 23, 29, 31, 19, 24, 20, 36, 32, 36, 28, 25, 21, 28, 29, 37, 25, 28, 26, 30, 32, 36, 26, 30, 22, 36, 23, 27, 27, 28, 27, 31, 27, 26, 33, 26, 32, 32, 24, 39, 28, 24, 25, 32, 25, 29, 27, 28, 29, 16, 23], + "N": 66 +} diff --git a/ARM/Ch.8/roaches.data.json b/ARM/Ch.8/roaches.data.json new file mode 100644 index 00000000..189e1f49 --- /dev/null +++ b/ARM/Ch.8/roaches.data.json @@ -0,0 +1,8 @@ +{ + "y": [153, 127, 7, 7, 0, 0, 73, 24, 2, 2, 0, 21, 0, 179, 136, 104, 2, 5, 1, 203, 32, 1, 135, 59, 29, 120, 44, 1, 2, 193, 13, 37, 2, 0, 3, 0, 0, 15, 11, 19, 0, 19, 4, 122, 48, 0, 0, 3, 0, 9, 0, 0, 0, 12, 0, 357, 11, 60, 0, 159, 50, 48, 178, 4, 6, 0, 33, 127, 4, 63, 88, 5, 0, 0, 62, 4, 150, 38, 0, 3, 1, 14, 77, 42, 21, 1, 45, 0, 0, 0, 0, 0, 183, 28, 49, 1, 0, 0, 3, 0, 0, 0, 0, 18, 0, 0, 5, 0, 19, 5, 0, 27, 0, 0, 77, 1, 3, 2, 0, 0, 22, 102, 0, 0, 0, 0, 0, 0, 0, 4, 12, 2, 0, 0, 1, 0, 40, 0, 1, 2, 27, 0, 2, 0, 0, 0, 0, 3, 1, 20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 53, 69, 15, 0, 2, 4, 6, 8, 0, 0, 0, 18, 38, 0, 2, 18, 34, 1, 109, 5, 15, 0, 64, 0, 1, 0, 1, 3, 5, 7, 18, 1, 0, 0, 3, 3, 0, 19, 0, 8, 26, 50, 15, 0, 19, 5, 17, 121, 1, 0, 0, 0, 0, 4, 1, 14, 1, 25, 0, 14, 0, 59, 243, 80, 69, 14, 9, 38, 37, 48, 293, 7, 10, 19, 24, 91, 1, 0, 0, 0, 0, 148, 3, 26, 12, 77, 0, 7, 0, 1, 0, 17, 0, 7, 11, 6, 50, 1, 0, 0, 0, 171, 8], + "roach1": [308, 331.25, 1.67, 3, 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b/ARM/Ch.9/electric_grade1.data.json @@ -0,0 +1,7 @@ +{ + "post_test": [48.9, 70.5, 89.7, 44.2, 77.5, 84.7, 78.9, 86.8, 60.8, 75.7, 95.1, 60.6, 55.5, 84.8, 84.9, 101.9, 70.6, 78.4, 84.2, 108.6, 76.6, 52.3, 55, 80.4, 47, 69.7, 74.1, 72.7, 97.3, 74.1, 76.3, 84.5, 54.6, 56.5, 75.2, 71.1, 75.6, 55.3, 59.3, 87, 73.7, 52.9], + "grade": [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], + "pre_test": [13.8, 16.5, 18.5, 8.8, 15.3, 15, 19.4, 15, 11.8, 16.4, 16.2, 12, 12.3, 17.2, 14.6, 18.9, 15.3, 16.6, 16, 20.1, 16.4, 12.3, 14.4, 17.7, 11.5, 16.4, 16.8, 18.7, 18.2, 15.4, 18.7, 17.1, 11.9, 15.1, 16.8, 15.8, 15.8, 13.9, 14.5, 17, 15.8, 14.3], + "treatment": [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], + "N": 42 +} diff --git a/ARM/Ch.9/electric_grade1_supp.data.json b/ARM/Ch.9/electric_grade1_supp.data.json new file mode 100644 index 00000000..b540f603 --- /dev/null +++ b/ARM/Ch.9/electric_grade1_supp.data.json @@ -0,0 +1,8 @@ +{ + "post_test": [48.9, 70.5, 89.7, 44.2, 77.5, 84.7, 78.9, 86.8, 60.8, 75.7, 95.1, 60.6, 55.5, 84.8, 84.9, 101.9, 70.6, 78.4, 84.2, 108.6, 76.6], + "supp": [1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1], + "grade": [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], + "pre_test": [13.8, 16.5, 18.5, 8.8, 15.3, 15, 19.4, 15, 11.8, 16.4, 16.2, 12, 12.3, 17.2, 14.6, 18.9, 15.3, 16.6, 16, 20.1, 16.4], + "treatment": [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], + "N": 21 +} diff --git a/ARM/Ch.9/electric_grade2.data.json b/ARM/Ch.9/electric_grade2.data.json new file mode 100644 index 00000000..5e8f02fd --- /dev/null +++ b/ARM/Ch.9/electric_grade2.data.json @@ -0,0 +1,7 @@ +{ + "post_test": [81.6, 101.2, 66.4, 96.2, 101.3, 108.9, 114.6, 111.7, 97.3, 96.5, 94.9, 104.8, 104.5, 108.3, 101.9, 100.1, 91.7, 92.5, 94.4, 101.3, 102.2, 100.6, 113.8, 114.3, 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1, 1, 1, 1, 1, 1, 1, 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], + "N": 68 +} diff --git a/ARM/Ch.9/electric_grade2_supp.data.json b/ARM/Ch.9/electric_grade2_supp.data.json new file mode 100644 index 00000000..d54e6205 --- /dev/null +++ b/ARM/Ch.9/electric_grade2_supp.data.json @@ -0,0 +1,8 @@ +{ + "post_test": [81.6, 101.2, 66.4, 96.2, 101.3, 108.9, 114.6, 111.7, 97.3, 96.5, 94.9, 104.8, 104.5, 108.3, 101.9, 100.1, 91.7, 92.5, 94.4, 101.3, 102.2, 100.6, 113.8, 114.3, 87.9, 105.6, 102.5, 93.6, 109.2, 111.2, 106.4, 110.6, 112.1, 113.3], + "supp": [0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1], + "grade": [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], + "pre_test": [55.1, 73.1, 51.4, 62.3, 69.7, 70.9, 82.5, 83.9, 69.8, 69.2, 75.1, 68.2, 83.5, 71.7, 80.3, 76.6, 70.1, 60.9, 72.3, 78.6, 77.4, 71.8, 93, 97.7, 65.7, 80.4, 75.6, 68.4, 83.3, 93.7, 87.3, 95.2, 80.4, 85.4], + "treatment": [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], + "N": 34 +} diff --git a/ARM/Ch.9/electric_grade3.data.json b/ARM/Ch.9/electric_grade3.data.json new file mode 100644 index 00000000..19d312e4 --- /dev/null +++ b/ARM/Ch.9/electric_grade3.data.json @@ -0,0 +1,7 @@ +{ + "post_test": [92.8, 104.9, 88.9, 109.9, 98.9, 113.1, 114.1, 114, 114, 92.4, 111.1, 98.9, 112.2, 114.5, 110.3, 103.7, 110.8, 108.9, 109.6, 107.2, 110.6, 107.6, 90.5, 105.8, 110.6, 111.3, 107.1, 105.8, 111, 91.7, 102.9, 110.4, 115.3, 114.7, 110.2, 98.3, 101.9, 100.8, 111.6, 105.4], + "grade": [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], + "pre_test": [77.6, 96.5, 64.2, 88.3, 88.6, 102.4, 105, 101.4, 102.6, 76.4, 98, 83.3, 100.8, 103.8, 100.7, 97, 97.3, 94.5, 97.7, 93.9, 103.7, 95.4, 68.6, 91.1, 97.8, 100.6, 99.6, 98.7, 104, 78, 95.3, 103.6, 108.1, 109.1, 98.9, 87.4, 92.5, 89, 100.6, 94], + "treatment": [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], + "N": 40 +} diff --git a/ARM/Ch.9/electric_grade3_supp.data.json b/ARM/Ch.9/electric_grade3_supp.data.json new file mode 100644 index 00000000..095f3356 --- /dev/null +++ b/ARM/Ch.9/electric_grade3_supp.data.json @@ -0,0 +1,8 @@ +{ + "post_test": [92.8, 104.9, 88.9, 109.9, 98.9, 113.1, 114.1, 114, 114, 92.4, 111.1, 98.9, 112.2, 114.5, 110.3, 103.7, 110.8, 108.9, 109.6, 107.2], + "supp": [1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1], + "grade": [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], + "pre_test": [77.6, 96.5, 64.2, 88.3, 88.6, 102.4, 105, 101.4, 102.6, 76.4, 98, 83.3, 100.8, 103.8, 100.7, 97, 97.3, 94.5, 97.7, 93.9], + "treatment": [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], + "N": 20 +} diff --git a/ARM/Ch.9/electric_grade4.data.json b/ARM/Ch.9/electric_grade4.data.json new file mode 100644 index 00000000..84333e65 --- /dev/null +++ b/ARM/Ch.9/electric_grade4.data.json @@ -0,0 +1,7 @@ +{ + "post_test": [116.2, 116.9, 106.9, 104.6, 114.2, 113.6, 116.6, 114.8, 114.9, 111, 113.9, 115.6, 116.2, 119.6, 109.6, 122, 109.7, 112.4, 115.5, 119.7, 111.5, 95.5, 109.4, 94, 101, 115.3, 110.6, 96, 111.7, 115.9, 113.9, 114.4, 116.2, 115.7, 118, 110.9, 113.4, 111.2, 113.3, 115.9, 115.2, 110], + "grade": [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], + "pre_test": [105.9, 100.8, 91.7, 97.5, 106.5, 107.4, 111.4, 110, 106.9, 106.7, 104.1, 109.7, 110.6, 115.2, 101.9, 119.8, 108.8, 104.6, 111.1, 115.5, 107.2, 81.2, 102.5, 78.4, 91.9, 110.3, 104.9, 89.7, 106.2, 106.2, 111.9, 109.4, 111.8, 112.1, 113.9, 106.3, 110.8, 107.5, 110, 111.6, 109.8, 102.6], + "treatment": [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], + "N": 42 +} diff --git a/ARM/Ch.9/electric_grade4_supp.data.json b/ARM/Ch.9/electric_grade4_supp.data.json new file mode 100644 index 00000000..60fa5a92 --- /dev/null +++ b/ARM/Ch.9/electric_grade4_supp.data.json @@ -0,0 +1,8 @@ +{ + "post_test": [116.2, 116.9, 106.9, 104.6, 114.2, 113.6, 116.6, 114.8, 114.9, 111, 113.9, 115.6, 116.2, 119.6, 109.6, 122, 109.7, 112.4, 115.5, 119.7, 111.5], + "supp": [1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0], + "grade": [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], + "pre_test": [105.9, 100.8, 91.7, 97.5, 106.5, 107.4, 111.4, 110, 106.9, 106.7, 104.1, 109.7, 110.6, 115.2, 101.9, 119.8, 108.8, 104.6, 111.1, 115.5, 107.2], + "treatment": [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], + "N": 21 +} diff --git a/ARM/Ch.9/electric_inter.data.json b/ARM/Ch.9/electric_inter.data.json new file mode 100644 index 00000000..84333e65 --- /dev/null +++ b/ARM/Ch.9/electric_inter.data.json @@ -0,0 +1,7 @@ +{ + "post_test": [116.2, 116.9, 106.9, 104.6, 114.2, 113.6, 116.6, 114.8, 114.9, 111, 113.9, 115.6, 116.2, 119.6, 109.6, 122, 109.7, 112.4, 115.5, 119.7, 111.5, 95.5, 109.4, 94, 101, 115.3, 110.6, 96, 111.7, 115.9, 113.9, 114.4, 116.2, 115.7, 118, 110.9, 113.4, 111.2, 113.3, 115.9, 115.2, 110], + "grade": [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], + "pre_test": [105.9, 100.8, 91.7, 97.5, 106.5, 107.4, 111.4, 110, 106.9, 106.7, 104.1, 109.7, 110.6, 115.2, 101.9, 119.8, 108.8, 104.6, 111.1, 115.5, 107.2, 81.2, 102.5, 78.4, 91.9, 110.3, 104.9, 89.7, 106.2, 106.2, 111.9, 109.4, 111.8, 112.1, 113.9, 106.3, 110.8, 107.5, 110, 111.6, 109.8, 102.6], + "treatment": [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], + "N": 42 +} diff --git a/ARM/Ch.9/electric_supp.data.json b/ARM/Ch.9/electric_supp.data.json new file mode 100644 index 00000000..60fa5a92 --- /dev/null +++ b/ARM/Ch.9/electric_supp.data.json @@ -0,0 +1,8 @@ +{ + "post_test": [116.2, 116.9, 106.9, 104.6, 114.2, 113.6, 116.6, 114.8, 114.9, 111, 113.9, 115.6, 116.2, 119.6, 109.6, 122, 109.7, 112.4, 115.5, 119.7, 111.5], + "supp": [1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0], + "grade": [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], + "pre_test": [105.9, 100.8, 91.7, 97.5, 106.5, 107.4, 111.4, 110, 106.9, 106.7, 104.1, 109.7, 110.6, 115.2, 101.9, 119.8, 108.8, 104.6, 111.1, 115.5, 107.2], + "treatment": [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], + "N": 21 +} diff --git a/ARM/Ch.9/electric_tr.data.json b/ARM/Ch.9/electric_tr.data.json new file mode 100644 index 00000000..84333e65 --- /dev/null +++ b/ARM/Ch.9/electric_tr.data.json @@ -0,0 +1,7 @@ +{ + "post_test": [116.2, 116.9, 106.9, 104.6, 114.2, 113.6, 116.6, 114.8, 114.9, 111, 113.9, 115.6, 116.2, 119.6, 109.6, 122, 109.7, 112.4, 115.5, 119.7, 111.5, 95.5, 109.4, 94, 101, 115.3, 110.6, 96, 111.7, 115.9, 113.9, 114.4, 116.2, 115.7, 118, 110.9, 113.4, 111.2, 113.3, 115.9, 115.2, 110], + "grade": [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], + "pre_test": [105.9, 100.8, 91.7, 97.5, 106.5, 107.4, 111.4, 110, 106.9, 106.7, 104.1, 109.7, 110.6, 115.2, 101.9, 119.8, 108.8, 104.6, 111.1, 115.5, 107.2, 81.2, 102.5, 78.4, 91.9, 110.3, 104.9, 89.7, 106.2, 106.2, 111.9, 109.4, 111.8, 112.1, 113.9, 106.3, 110.8, 107.5, 110, 111.6, 109.8, 102.6], + "treatment": [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], + "N": 42 +} diff --git a/ARM/Ch.9/electric_trpre.data.json b/ARM/Ch.9/electric_trpre.data.json new file mode 100644 index 00000000..84333e65 --- /dev/null +++ b/ARM/Ch.9/electric_trpre.data.json @@ -0,0 +1,7 @@ +{ + "post_test": [116.2, 116.9, 106.9, 104.6, 114.2, 113.6, 116.6, 114.8, 114.9, 111, 113.9, 115.6, 116.2, 119.6, 109.6, 122, 109.7, 112.4, 115.5, 119.7, 111.5, 95.5, 109.4, 94, 101, 115.3, 110.6, 96, 111.7, 115.9, 113.9, 114.4, 116.2, 115.7, 118, 110.9, 113.4, 111.2, 113.3, 115.9, 115.2, 110], + "grade": [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], + "pre_test": [105.9, 100.8, 91.7, 97.5, 106.5, 107.4, 111.4, 110, 106.9, 106.7, 104.1, 109.7, 110.6, 115.2, 101.9, 119.8, 108.8, 104.6, 111.1, 115.5, 107.2, 81.2, 102.5, 78.4, 91.9, 110.3, 104.9, 89.7, 106.2, 106.2, 111.9, 109.4, 111.8, 112.1, 113.9, 106.3, 110.8, 107.5, 110, 111.6, 109.8, 102.6], + "treatment": [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], + "N": 42 +} diff --git a/BPA/Ch.03/GLM_Binomial.data.json b/BPA/Ch.03/GLM_Binomial.data.json new file mode 100644 index 00000000..490dc554 --- /dev/null +++ b/BPA/Ch.03/GLM_Binomial.data.json @@ -0,0 +1,6 @@ +{ + "nyears": 40, + "year": [-0.95, -0.9, -0.85, -0.8, -0.75, -0.7, -0.65, -0.6, -0.55, -0.5, -0.45, -0.4, -0.35, -0.3, -0.25, -0.2, -0.15, -0.1, -0.05, 0, 0.05, 0.1, 0.15, 0.2, 0.25, 0.3, 0.35, 0.4, 0.45, 0.5, 0.55, 0.6, 0.65, 0.7, 0.75, 0.8, 0.85, 0.9, 0.95, 1], + "C": [27, 42, 35, 55, 61, 19, 41, 74, 43, 42, 73, 37, 48, 49, 19, 72, 30, 18, 31, 71, 63, 51, 48, 73, 49, 54, 43, 59, 30, 24, 62, 55, 51, 47, 14, 27, 45, 20, 26, 19], + "N": [43, 83, 53, 91, 95, 24, 62, 91, 64, 57, 97, 56, 74, 66, 28, 92, 40, 23, 46, 96, 91, 75, 71, 100, 72, 77, 64, 68, 43, 32, 97, 92, 75, 84, 22, 58, 81, 37, 45, 39] +} diff --git a/BPA/Ch.03/GLM_Poisson.data.json b/BPA/Ch.03/GLM_Poisson.data.json new file mode 100644 index 00000000..95f05d25 --- /dev/null +++ b/BPA/Ch.03/GLM_Poisson.data.json @@ -0,0 +1,5 @@ +{ + "year": [-1.66802789939819, -1.58248800712136, -1.49694811484453, -1.4114082225677, -1.32586833029087, -1.24032843801404, -1.15478854573721, -1.06924865346038, -0.983708761183547, -0.898168868906717, -0.812628976629887, -0.727089084353056, -0.641549192076226, -0.556009299799396, -0.470469407522566, -0.384929515245736, -0.299389622968906, -0.213849730692075, -0.128309838415245, -0.0427699461384151, 0.0427699461384151, 0.128309838415245, 0.213849730692075, 0.299389622968906, 0.384929515245736, 0.470469407522566, 0.556009299799396, 0.641549192076226, 0.727089084353056, 0.812628976629887, 0.898168868906717, 0.983708761183547, 1.06924865346038, 1.15478854573721, 1.24032843801404, 1.32586833029087, 1.4114082225677, 1.49694811484453, 1.58248800712136, 1.66802789939819], + "C": [29, 36, 19, 28, 36, 29, 20, 19, 35, 32, 34, 34, 33, 47, 48, 46, 46, 49, 60, 64, 87, 85, 85, 95, 115, 127, 142, 168, 181, 194, 200, 210, 208, 235, 244, 272, 239, 263, 239, 245], + "n": 40 +} diff --git a/BPA/Ch.04/GLMM1.data.json b/BPA/Ch.04/GLMM1.data.json new file mode 100644 index 00000000..9d20c348 --- /dev/null +++ b/BPA/Ch.04/GLMM1.data.json @@ -0,0 +1,11 @@ +{ + "nyear": 9, + "missite": [3, 6, 38, 60, 68, 97, 105, 107, 113, 114, 147, 152, 160, 163, 176, 178, 190, 196, 198, 215, 15, 36, 7, 14, 34, 36, 42, 181, 7, 34, 190, 203, 9, 79, 183, 22, 56, 81, 119, 126, 210, 81, 119], + "obsyear": [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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b/BPA/Ch.08/mr_mnl_age3.data.json @@ -0,0 +1,5 @@ +{ + "marr_j": [42, 18, 5, 7, 4, 3, 2, 1, 2, 2, 1, 0, 1, 3, 0, 0, 1, 1388], + "n_age": 17, + "marr_a": [3, 1, 1, 3, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 137] +} diff --git a/BPA/Ch.08/mr_ss.data.json b/BPA/Ch.08/mr_ss.data.json new file mode 100644 index 00000000..aeff7e47 --- /dev/null +++ b/BPA/Ch.08/mr_ss.data.json @@ -0,0 +1,706 @@ +{ + "y": [ + [1, 0, 0, 0, 1, 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], + [1, 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], + [1, 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, 0], + [1, 0, 0, 0, 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], + [1, 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], + [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], + [1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], + [1, 0, 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b/bugs_examples/vol1/blocker/blocker.data.json @@ -0,0 +1,7 @@ +{ + "nc": [39, 116, 93, 1520, 365, 52, 939, 471, 282, 1921, 583, 266, 293, 883, 147, 213, 122, 154, 134, 218, 364, 674], + "rc": [3, 14, 11, 127, 27, 6, 152, 48, 37, 188, 52, 47, 16, 45, 31, 38, 12, 6, 3, 40, 43, 39], + "N": 22, + "nt": [38, 114, 69, 1533, 355, 59, 945, 632, 278, 1916, 873, 263, 291, 858, 154, 207, 251, 151, 174, 209, 391, 680], + "rt": [3, 7, 5, 102, 28, 4, 98, 60, 25, 138, 64, 45, 9, 57, 25, 33, 28, 8, 6, 32, 27, 22] +} diff --git a/bugs_examples/vol1/blocker/blocker.init.json b/bugs_examples/vol1/blocker/blocker.init.json new file mode 100644 index 00000000..ab70bf3a --- /dev/null +++ b/bugs_examples/vol1/blocker/blocker.init.json @@ -0,0 +1,7 @@ +{ + "mu": [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], + "delta": [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], + "d": 0, + "delta_new": 0, + "sigmasq_delta": 1 +} diff --git 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new file mode 100644 index 00000000..f13c9574 --- /dev/null +++ b/bugs_examples/vol1/dyes/dyes.data.json @@ -0,0 +1,12 @@ +{ + "y": [ + [1545, 1440, 1440, 1520, 1580], + [1540, 1555, 1490, 1560, 1495], + [1595, 1550, 1605, 1510, 1560], + [1445, 1440, 1595, 1465, 1545], + [1595, 1630, 1515, 1635, 1625], + [1520, 1455, 1450, 1480, 1445] + ], + "BATCHES": 6, + "SAMPLES": 5 +} diff --git a/bugs_examples/vol1/dyes/dyes.init.json b/bugs_examples/vol1/dyes/dyes.init.json new file mode 100644 index 00000000..044a4b8f --- /dev/null +++ b/bugs_examples/vol1/dyes/dyes.init.json @@ -0,0 +1,6 @@ +{ + "theta": 1500, + "mu": [1500, 1500, 1500, 1500, 1500, 1500], + "tau_between": 1, + "tau_within": 1 +} diff --git a/bugs_examples/vol1/epil/epil.data.json b/bugs_examples/vol1/epil/epil.data.json new file mode 100644 index 00000000..c41a0d39 --- /dev/null +++ b/bugs_examples/vol1/epil/epil.data.json @@ -0,0 +1,78 @@ +{ + "Age": [31, 30, 25, 36, 22, 29, 31, 42, 37, 28, 36, 24, 23, 36, 26, 26, 28, 31, 32, 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24, 46, 5, 16, 8], + "disease_rc": [3, 2, 3, 3, 1, 4, 2, 1, 3, 1, 3, 2, 1, 1, 3, 2, 1, 4] +} diff --git a/bugs_examples/vol1/leuk/leuk.data.json b/bugs_examples/vol1/leuk/leuk.data.json new file mode 100644 index 00000000..e3d51b28 --- /dev/null +++ b/bugs_examples/vol1/leuk/leuk.data.json @@ -0,0 +1,8 @@ +{ + "t": [1, 2, 3, 4, 5, 6, 7, 8, 10, 11, 12, 13, 15, 16, 17, 22, 23, 35], + "Z": [0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, -0.5, -0.5, -0.5, -0.5, -0.5, -0.5, -0.5, -0.5, -0.5, -0.5, -0.5, -0.5, -0.5, -0.5, -0.5, -0.5, -0.5, -0.5, -0.5, -0.5, -0.5], + "fail": [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0], + "N": 42, + "obs_t": [1, 1, 2, 2, 3, 4, 4, 5, 5, 8, 8, 8, 8, 11, 11, 12, 12, 15, 17, 22, 23, 6, 6, 6, 6, 7, 9, 10, 10, 11, 13, 16, 17, 19, 20, 22, 23, 25, 32, 32, 34, 35], + "NT": 17 +} diff --git a/bugs_examples/vol1/leukfr/leukfr.data.json b/bugs_examples/vol1/leukfr/leukfr.data.json new file mode 100644 index 00000000..c2daca92 --- /dev/null +++ b/bugs_examples/vol1/leukfr/leukfr.data.json @@ -0,0 +1,10 @@ +{ + "t": [1, 2, 3, 4, 5, 6, 7, 8, 10, 11, 12, 13, 15, 16, 17, 22, 23, 35], + "Z": [0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, -0.5, -0.5, -0.5, -0.5, -0.5, -0.5, -0.5, -0.5, -0.5, -0.5, -0.5, -0.5, -0.5, -0.5, -0.5, -0.5, -0.5, -0.5, -0.5, -0.5, -0.5], + "pair": [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 19, 18, 8, 1, 20, 6, 2, 10, 3, 14, 4, 11, 7, 9, 12, 16, 17, 5, 13, 15, 21], + "Npair": 21, + "fail": [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0], + "N": 42, + "obs_t": [1, 1, 2, 2, 3, 4, 4, 5, 5, 8, 8, 8, 8, 11, 11, 12, 12, 15, 17, 22, 23, 6, 6, 6, 6, 7, 9, 10, 10, 11, 13, 16, 17, 19, 20, 22, 23, 25, 32, 32, 34, 35], + "NT": 17 +} diff --git a/bugs_examples/vol1/leukfr/leukfr.init.json b/bugs_examples/vol1/leukfr/leukfr.init.json new file mode 100644 index 00000000..daeacf29 --- /dev/null +++ b/bugs_examples/vol1/leukfr/leukfr.init.json @@ -0,0 +1,6 @@ +{ + "dL0": [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], + "b": [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], + "tau": 1, + "beta": 0 +} diff --git a/bugs_examples/vol1/litter/litter.data.json b/bugs_examples/vol1/litter/litter.data.json new file mode 100644 index 00000000..186604b0 --- /dev/null +++ b/bugs_examples/vol1/litter/litter.data.json @@ -0,0 +1,12 @@ +{ + "G": 2, + "N": 16, + "n": [ + [13, 12, 9, 9, 8, 8, 13, 12, 10, 10, 9, 13, 5, 7, 10, 10], + [12, 11, 10, 9, 11, 10, 10, 9, 9, 5, 9, 7, 10, 6, 10, 7] + ], + "r": [ + [13, 12, 9, 9, 8, 8, 12, 11, 9, 9, 8, 11, 4, 5, 7, 7], + [12, 11, 10, 9, 10, 9, 9, 8, 8, 4, 7, 4, 5, 3, 3, 0] + ] +} diff --git a/bugs_examples/vol1/lsat/lsat.data.json b/bugs_examples/vol1/lsat/lsat.data.json new file mode 100644 index 00000000..e437c94b --- /dev/null +++ b/bugs_examples/vol1/lsat/lsat.data.json @@ -0,0 +1,40 @@ +{ + "response": [ + [0, 0, 0, 0, 0], + [0, 0, 0, 0, 1], + [0, 0, 0, 1, 0], + [0, 0, 0, 1, 1], + [0, 0, 1, 0, 0], + [0, 0, 1, 0, 1], + [0, 0, 1, 1, 0], + [0, 0, 1, 1, 1], + [0, 1, 0, 0, 0], + [0, 1, 0, 0, 1], + [0, 1, 0, 1, 0], + [0, 1, 0, 1, 1], + [0, 1, 1, 0, 0], + [0, 1, 1, 0, 1], + [0, 1, 1, 1, 0], + [0, 1, 1, 1, 1], + [1, 0, 0, 0, 0], + [1, 0, 0, 0, 1], + [1, 0, 0, 1, 0], + [1, 0, 0, 1, 1], + [1, 0, 1, 0, 0], + [1, 0, 1, 0, 1], + [1, 0, 1, 1, 0], + [1, 0, 1, 1, 1], + [1, 1, 0, 0, 0], + [1, 1, 0, 0, 1], + [1, 1, 0, 1, 0], + [1, 1, 0, 1, 1], + [1, 1, 1, 0, 0], + [1, 1, 1, 0, 1], + [1, 1, 1, 1, 0], + [1, 1, 1, 1, 1] + ], + "culm": [3, 9, 11, 22, 23, 24, 27, 31, 32, 40, 40, 56, 56, 59, 61, 76, 86, 115, 129, 210, 213, 241, 256, 336, 352, 408, 429, 602, 613, 674, 702, 1000], + "N": 1000, + "R": 32, + "T": 5 +} diff --git a/bugs_examples/vol1/magnesium/magnesium.data.json b/bugs_examples/vol1/magnesium/magnesium.data.json new file mode 100644 index 00000000..131628c5 --- /dev/null +++ b/bugs_examples/vol1/magnesium/magnesium.data.json @@ -0,0 +1,7 @@ +{ + "nc": [36, 135, 200, 46, 148, 56, 23, 1157], + "rc": [2, 23, 7, 1, 8, 9, 3, 118], + "N_studies": 8, + "nt": [40, 135, 200, 48, 150, 59, 25, 1159], + "rt": [1, 9, 2, 1, 10, 1, 1, 90] +} diff --git a/bugs_examples/vol1/magnesium/magnesium.init.json b/bugs_examples/vol1/magnesium/magnesium.init.json new file mode 100644 index 00000000..46220a1f --- /dev/null +++ b/bugs_examples/vol1/magnesium/magnesium.init.json @@ -0,0 +1,26 @@ +{ + "theta": [ + [-0.5, -0.5, -0.5, -0.5, -0.5, -0.5, -0.5, -0.5], + [-0.5, -0.5, -0.5, -0.5, -0.5, -0.5, -0.5, -0.5], + [-0.5, -0.5, -0.5, -0.5, -0.5, -0.5, -0.5, -0.5], + [-0.5, -0.5, -0.5, -0.5, -0.5, -0.5, -0.5, -0.5], + [-0.5, -0.5, -0.5, -0.5, -0.5, -0.5, -0.5, -0.5], + [-0.5, -0.5, -0.5, -0.5, -0.5, -0.5, -0.5, -0.5] + ], 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b/bugs_examples/vol1/oxford/oxford.init.json @@ -0,0 +1,8 @@ +{ + "beta1": 0, + "beta2": 0, + "alpha": 0, + "mu": [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], + "sigma_sq": 1, + "b": [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] +} diff --git a/bugs_examples/vol1/pump/pump.data.json b/bugs_examples/vol1/pump/pump.data.json new file mode 100644 index 00000000..365f3dc6 --- /dev/null +++ b/bugs_examples/vol1/pump/pump.data.json @@ -0,0 +1,5 @@ +{ + "t": [94.3, 15.7, 62.9, 126, 5.24, 31.4, 1.05, 1.05, 2.1, 10.5], + "x": [5, 1, 5, 14, 3, 19, 1, 1, 4, 22], + "N": 10 +} diff --git a/bugs_examples/vol1/pump/pump.init.json b/bugs_examples/vol1/pump/pump.init.json new file mode 100644 index 00000000..3aa15640 --- /dev/null +++ b/bugs_examples/vol1/pump/pump.init.json @@ -0,0 +1,5 @@ +{ + "theta": [1, 1, 1, 1, 1, 1, 1, 1, 1, 1], + "alpha": 1, + "beta": 1 +} diff --git a/bugs_examples/vol1/rats/rats.data.json b/bugs_examples/vol1/rats/rats.data.json new file mode 100644 index 00000000..0efe61e8 --- /dev/null +++ b/bugs_examples/vol1/rats/rats.data.json @@ -0,0 +1,38 @@ +{ + "x": [8, 15, 22, 29, 36], + "y": [ + [151, 199, 246, 283, 320], + [145, 199, 249, 293, 354], + [147, 214, 263, 312, 328], + [155, 200, 237, 272, 297], + [135, 188, 230, 280, 323], + [159, 210, 252, 298, 331], + [141, 189, 231, 275, 305], + [159, 201, 248, 297, 338], + [177, 236, 285, 350, 376], + [134, 182, 220, 260, 296], + [160, 208, 261, 313, 352], + [143, 188, 220, 273, 314], + [154, 200, 244, 289, 325], + [171, 221, 270, 326, 358], + [163, 216, 242, 281, 312], + [160, 207, 248, 288, 324], + [142, 187, 234, 280, 316], + [156, 203, 243, 283, 317], + [157, 212, 259, 307, 336], + [152, 203, 246, 286, 321], + [154, 205, 253, 298, 334], + [139, 190, 225, 267, 302], + [146, 191, 229, 272, 302], + [157, 211, 250, 285, 323], + [132, 185, 237, 286, 331], + [160, 207, 257, 303, 345], + [169, 216, 261, 295, 333], + [157, 205, 248, 289, 316], + [137, 180, 219, 258, 291], + [153, 200, 244, 286, 324] + ], + "xbar": 22, + "N": 30, + "T": 5 +} diff --git a/bugs_examples/vol1/rats/rats.init.json b/bugs_examples/vol1/rats/rats.init.json new file mode 100644 index 00000000..ed5a7400 --- /dev/null +++ b/bugs_examples/vol1/rats/rats.init.json @@ -0,0 +1,9 @@ +{ + "alpha": [250, 250, 250, 250, 250, 250, 250, 250, 250, 250, 250, 250, 250, 250, 250, 250, 250, 250, 250, 250, 250, 250, 250, 250, 250, 250, 250, 250, 250, 250], + "sigmasq_alpha": 1, + "sigmasq_beta": 1, + "mu_alpha": 150, + "sigmasq_y": 1, + "beta": [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], + "mu_beta": 10 +} diff --git a/bugs_examples/vol1/salm/salm.data.json b/bugs_examples/vol1/salm/salm.data.json new file mode 100644 index 00000000..db7413ad --- /dev/null +++ b/bugs_examples/vol1/salm/salm.data.json @@ -0,0 +1,13 @@ +{ + "Nplates": 3, + "x": [0, 10, 33, 100, 333, 1000], + "y": [ + [15, 21, 29], + [16, 18, 21], + [16, 26, 33], + [27, 41, 60], + [33, 38, 41], + [20, 27, 42] + ], + "Ndoses": 6 +} diff --git a/bugs_examples/vol1/salm/salm.init.json b/bugs_examples/vol1/salm/salm.init.json new file mode 100644 index 00000000..8c0cb384 --- /dev/null +++ b/bugs_examples/vol1/salm/salm.init.json @@ -0,0 +1,14 @@ +{ + "lambda": [ + [0, 0, 0], + [0, 0, 0], + [0, 0, 0], + [0, 0, 0], + [0, 0, 0], + [0, 0, 0] + ], + "tau": 0.1, + "beta": 0, + "gamma": 0, + "alpha_star": 0 +} diff --git a/bugs_examples/vol1/salm/salm2.data.json b/bugs_examples/vol1/salm/salm2.data.json new file mode 100644 index 00000000..db7413ad --- /dev/null +++ b/bugs_examples/vol1/salm/salm2.data.json @@ -0,0 +1,13 @@ +{ + "Nplates": 3, + "x": [0, 10, 33, 100, 333, 1000], + "y": [ + [15, 21, 29], + [16, 18, 21], + [16, 26, 33], + [27, 41, 60], + [33, 38, 41], + [20, 27, 42] + ], + "Ndoses": 6 +} diff --git a/bugs_examples/vol1/salm/salm2.init.json b/bugs_examples/vol1/salm/salm2.init.json new file mode 100644 index 00000000..193b6e33 --- /dev/null +++ b/bugs_examples/vol1/salm/salm2.init.json @@ -0,0 +1,14 @@ +{ + "alpha": 0, + "lambda": [ + [0, 0, 0], + [0, 0, 0], + [0, 0, 0], + [0, 0, 0], + [0, 0, 0], + [0, 0, 0] + ], + "tau": 0.1, + "beta": 0, + "gamma": 0 +} diff --git a/bugs_examples/vol1/seeds/seeds.data.json b/bugs_examples/vol1/seeds/seeds.data.json new file mode 100644 index 00000000..bd87198b --- /dev/null +++ b/bugs_examples/vol1/seeds/seeds.data.json @@ -0,0 +1,7 @@ +{ + "I": 21, + "N": [39, 62, 81, 51, 39, 6, 74, 72, 51, 79, 13, 16, 30, 28, 45, 4, 12, 41, 30, 51, 7], + "n": [10, 23, 23, 26, 17, 5, 53, 55, 32, 46, 10, 8, 10, 8, 23, 0, 3, 22, 15, 32, 3], + "x1": [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], + "x2": [0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1] +} diff --git a/bugs_examples/vol1/seeds/seeds.init.json b/bugs_examples/vol1/seeds/seeds.init.json new file mode 100644 index 00000000..c3f5e03c --- /dev/null +++ b/bugs_examples/vol1/seeds/seeds.init.json @@ -0,0 +1,13 @@ +{ + "alpha0": 0, + "alpha1": 0, + "b": [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], + "alpha2": 0, + "I": 21, + "tau": 10, + "N": [39, 62, 81, 51, 39, 6, 74, 72, 51, 79, 13, 16, 30, 28, 45, 4, 12, 41, 30, 51, 7], + "n": [10, 23, 23, 26, 17, 5, 53, 55, 32, 46, 10, 8, 10, 8, 23, 0, 3, 22, 15, 32, 3], + "x1": [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], + "x2": [0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1], + "alpha12": 0 +} diff --git a/bugs_examples/vol1/stacks/stacks_a_normal.data.json b/bugs_examples/vol1/stacks/stacks_a_normal.data.json new file mode 100644 index 00000000..58ac90a2 --- /dev/null +++ b/bugs_examples/vol1/stacks/stacks_a_normal.data.json @@ -0,0 +1,28 @@ +{ + "Y": [43, 37, 37, 28, 18, 18, 19, 20, 15, 14, 14, 13, 11, 12, 8, 7, 8, 8, 9, 15, 15], + "x": [ + [80, 27, 89], + [80, 27, 88], + [75, 25, 90], + [62, 24, 87], + [62, 22, 87], + [62, 23, 87], + [62, 24, 93], + [62, 24, 93], + [59, 23, 87], + [58, 18, 80], + [58, 18, 89], + [58, 17, 88], + [58, 18, 82], + [58, 19, 93], + [50, 18, 89], + [50, 18, 86], + [50, 19, 72], + [50, 19, 79], + [50, 20, 80], + [56, 20, 82], + [70, 20, 91] + ], + "N": 21, + "p": 3 +} diff --git a/bugs_examples/vol1/stacks/stacks_a_normal.init.json b/bugs_examples/vol1/stacks/stacks_a_normal.init.json new file mode 100644 index 00000000..7cf14830 --- /dev/null +++ b/bugs_examples/vol1/stacks/stacks_a_normal.init.json @@ -0,0 +1,6 @@ +{ + "beta0": 10, + "beta": [0, 0, 0], + "phi": 0.316, + "sigmasq": 10 +} diff --git a/bugs_examples/vol1/stacks/stacks_b_dexp.data.json b/bugs_examples/vol1/stacks/stacks_b_dexp.data.json new file mode 100644 index 00000000..58ac90a2 --- /dev/null +++ b/bugs_examples/vol1/stacks/stacks_b_dexp.data.json @@ -0,0 +1,28 @@ +{ + "Y": [43, 37, 37, 28, 18, 18, 19, 20, 15, 14, 14, 13, 11, 12, 8, 7, 8, 8, 9, 15, 15], + "x": [ + [80, 27, 89], + [80, 27, 88], + [75, 25, 90], + [62, 24, 87], + [62, 22, 87], + [62, 23, 87], + [62, 24, 93], + [62, 24, 93], + [59, 23, 87], + [58, 18, 80], + [58, 18, 89], + [58, 17, 88], + [58, 18, 82], + [58, 19, 93], + [50, 18, 89], + [50, 18, 86], + [50, 19, 72], + [50, 19, 79], + [50, 20, 80], + [56, 20, 82], + [70, 20, 91] + ], + "N": 21, + "p": 3 +} diff --git a/bugs_examples/vol1/stacks/stacks_b_dexp.init.json b/bugs_examples/vol1/stacks/stacks_b_dexp.init.json new file mode 100644 index 00000000..7cf14830 --- /dev/null +++ b/bugs_examples/vol1/stacks/stacks_b_dexp.init.json @@ -0,0 +1,6 @@ +{ + "beta0": 10, + "beta": [0, 0, 0], + "phi": 0.316, + "sigmasq": 10 +} diff --git a/bugs_examples/vol1/stacks/stacks_c_t4.data.json b/bugs_examples/vol1/stacks/stacks_c_t4.data.json new file mode 100644 index 00000000..58ac90a2 --- /dev/null +++ b/bugs_examples/vol1/stacks/stacks_c_t4.data.json @@ -0,0 +1,28 @@ +{ + "Y": [43, 37, 37, 28, 18, 18, 19, 20, 15, 14, 14, 13, 11, 12, 8, 7, 8, 8, 9, 15, 15], + "x": [ + [80, 27, 89], + [80, 27, 88], + [75, 25, 90], + [62, 24, 87], + [62, 22, 87], + [62, 23, 87], + [62, 24, 93], + [62, 24, 93], + [59, 23, 87], + [58, 18, 80], + [58, 18, 89], + [58, 17, 88], + [58, 18, 82], + [58, 19, 93], + [50, 18, 89], + [50, 18, 86], + [50, 19, 72], + [50, 19, 79], + [50, 20, 80], + [56, 20, 82], + [70, 20, 91] + ], + "N": 21, + "p": 3 +} diff --git a/bugs_examples/vol1/stacks/stacks_c_t4.init.json b/bugs_examples/vol1/stacks/stacks_c_t4.init.json new file mode 100644 index 00000000..7cf14830 --- /dev/null +++ b/bugs_examples/vol1/stacks/stacks_c_t4.init.json @@ -0,0 +1,6 @@ +{ + "beta0": 10, + "beta": [0, 0, 0], + "phi": 0.316, + "sigmasq": 10 +} diff --git a/bugs_examples/vol1/stacks/stacks_d_normal_ridge.data.json b/bugs_examples/vol1/stacks/stacks_d_normal_ridge.data.json new file mode 100644 index 00000000..58ac90a2 --- /dev/null +++ b/bugs_examples/vol1/stacks/stacks_d_normal_ridge.data.json @@ -0,0 +1,28 @@ +{ + "Y": [43, 37, 37, 28, 18, 18, 19, 20, 15, 14, 14, 13, 11, 12, 8, 7, 8, 8, 9, 15, 15], + "x": [ + [80, 27, 89], + [80, 27, 88], + [75, 25, 90], + [62, 24, 87], + [62, 22, 87], + [62, 23, 87], + [62, 24, 93], + [62, 24, 93], + [59, 23, 87], + [58, 18, 80], + [58, 18, 89], + [58, 17, 88], + [58, 18, 82], + [58, 19, 93], + [50, 18, 89], + [50, 18, 86], + [50, 19, 72], + [50, 19, 79], + [50, 20, 80], + [56, 20, 82], + [70, 20, 91] + ], + "N": 21, + "p": 3 +} diff --git a/bugs_examples/vol1/stacks/stacks_d_normal_ridge.init.json b/bugs_examples/vol1/stacks/stacks_d_normal_ridge.init.json new file mode 100644 index 00000000..7cf14830 --- /dev/null +++ b/bugs_examples/vol1/stacks/stacks_d_normal_ridge.init.json @@ -0,0 +1,6 @@ +{ + "beta0": 10, + "beta": [0, 0, 0], + "phi": 0.316, + "sigmasq": 10 +} diff --git a/bugs_examples/vol1/stacks/stacks_e_dexp_ridge.data.json b/bugs_examples/vol1/stacks/stacks_e_dexp_ridge.data.json new file mode 100644 index 00000000..58ac90a2 --- /dev/null +++ b/bugs_examples/vol1/stacks/stacks_e_dexp_ridge.data.json @@ -0,0 +1,28 @@ +{ + "Y": [43, 37, 37, 28, 18, 18, 19, 20, 15, 14, 14, 13, 11, 12, 8, 7, 8, 8, 9, 15, 15], + "x": [ + [80, 27, 89], + [80, 27, 88], + [75, 25, 90], + [62, 24, 87], + [62, 22, 87], + [62, 23, 87], + [62, 24, 93], + [62, 24, 93], + [59, 23, 87], + [58, 18, 80], + [58, 18, 89], + [58, 17, 88], + [58, 18, 82], + [58, 19, 93], + [50, 18, 89], + [50, 18, 86], + [50, 19, 72], + [50, 19, 79], + [50, 20, 80], + [56, 20, 82], + [70, 20, 91] + ], + "N": 21, + "p": 3 +} diff --git a/bugs_examples/vol1/stacks/stacks_e_dexp_ridge.init.json b/bugs_examples/vol1/stacks/stacks_e_dexp_ridge.init.json new file mode 100644 index 00000000..7cf14830 --- /dev/null +++ b/bugs_examples/vol1/stacks/stacks_e_dexp_ridge.init.json @@ -0,0 +1,6 @@ +{ + "beta0": 10, + "beta": [0, 0, 0], + "phi": 0.316, + "sigmasq": 10 +} diff --git a/bugs_examples/vol1/stacks/stacks_f_t4_ridge.data.json b/bugs_examples/vol1/stacks/stacks_f_t4_ridge.data.json new file mode 100644 index 00000000..58ac90a2 --- /dev/null +++ b/bugs_examples/vol1/stacks/stacks_f_t4_ridge.data.json @@ -0,0 +1,28 @@ +{ + "Y": [43, 37, 37, 28, 18, 18, 19, 20, 15, 14, 14, 13, 11, 12, 8, 7, 8, 8, 9, 15, 15], + "x": [ + [80, 27, 89], + [80, 27, 88], + [75, 25, 90], + [62, 24, 87], + [62, 22, 87], + [62, 23, 87], + [62, 24, 93], + [62, 24, 93], + [59, 23, 87], + [58, 18, 80], + [58, 18, 89], + [58, 17, 88], + [58, 18, 82], + [58, 19, 93], + [50, 18, 89], + [50, 18, 86], + [50, 19, 72], + [50, 19, 79], + [50, 20, 80], + [56, 20, 82], + [70, 20, 91] + ], + "N": 21, + "p": 3 +} diff --git a/bugs_examples/vol1/stacks/stacks_f_t4_ridge.init.json b/bugs_examples/vol1/stacks/stacks_f_t4_ridge.init.json new file mode 100644 index 00000000..7cf14830 --- /dev/null +++ b/bugs_examples/vol1/stacks/stacks_f_t4_ridge.init.json @@ -0,0 +1,6 @@ +{ + "beta0": 10, + "beta": [0, 0, 0], + "phi": 0.316, + "sigmasq": 10 +} diff --git a/bugs_examples/vol1/surgical/surgical.data.json b/bugs_examples/vol1/surgical/surgical.data.json new file mode 100644 index 00000000..603cf5c0 --- /dev/null +++ b/bugs_examples/vol1/surgical/surgical.data.json @@ -0,0 +1,5 @@ +{ + "N": 12, + "n": [47, 148, 119, 810, 211, 196, 148, 215, 207, 97, 256, 360], + "r": [0, 18, 8, 46, 8, 13, 9, 31, 14, 8, 29, 24] +} diff --git a/bugs_examples/vol1/surgical/surgical.init.json b/bugs_examples/vol1/surgical/surgical.init.json new file mode 100644 index 00000000..1ca7721f --- /dev/null +++ b/bugs_examples/vol1/surgical/surgical.init.json @@ -0,0 +1,5 @@ +{ + "mu": 0, + "b": [0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1], + "sigmasq": 1 +} diff --git a/bugs_examples/vol2/air/air.data.json b/bugs_examples/vol2/air/air.data.json new file mode 100644 index 00000000..50f42f16 --- /dev/null +++ b/bugs_examples/vol2/air/air.data.json @@ -0,0 +1,9 @@ +{ + "sigma2": 81.14, + "Z": [10, 30, 50], + "alpha": 4.48, + "y": [21, 20, 15], + "J": 3, + "beta": 0.76, + "n": [48, 34, 21] +} diff --git a/bugs_examples/vol2/alli/alli2.data.json b/bugs_examples/vol2/alli/alli2.data.json new file mode 100644 index 00000000..7d828b03 --- /dev/null +++ b/bugs_examples/vol2/alli/alli2.data.json @@ -0,0 +1,23 @@ +{ + "X": [ + [ + [23, 4, 2, 2, 8], + [7, 0, 1, 3, 5] + ], + [ + [5, 11, 1, 0, 3], + [13, 8, 6, 1, 0] + ], + [ + [5, 11, 2, 1, 5], + [8, 7, 6, 3, 5] + ], + [ + [16, 19, 1, 2, 3], + [17, 1, 0, 1, 3] + ] + ], + "I": 4, + "J": 2, + "K": 5 +} diff --git a/bugs_examples/vol2/alli/alli2.init.json b/bugs_examples/vol2/alli/alli2.init.json new file mode 100644 index 00000000..e85a5259 --- /dev/null +++ b/bugs_examples/vol2/alli/alli2.init.json @@ -0,0 +1,17 @@ +{ + "gamma0": [ + [0, 0, 0, 0] + ], + "beta0": [ + [0, 0, 0, 0], + [0, 0, 0, 0], + [0, 0, 0, 0] + ], + "lambda": [ + [0, 0], + [0, 0], + [0, 0], + [0, 0] + ], + "alpha0": [0, 0, 0, 0] +} diff --git a/bugs_examples/vol2/beetles/beetles_cloglog.data.json b/bugs_examples/vol2/beetles/beetles_cloglog.data.json new file mode 100644 index 00000000..49e8984e --- /dev/null +++ b/bugs_examples/vol2/beetles/beetles_cloglog.data.json @@ -0,0 +1,6 @@ +{ + "x": [1.6907, 1.7242, 1.7552, 1.7842, 1.8113, 1.8369, 1.861, 1.8839], + "N": 8, + "n": [59, 60, 62, 56, 63, 59, 62, 60], + "r": [6, 13, 18, 28, 52, 53, 61, 60] +} diff --git a/bugs_examples/vol2/beetles/beetles_cloglog.init.json b/bugs_examples/vol2/beetles/beetles_cloglog.init.json new file mode 100644 index 00000000..d927f5bf --- /dev/null +++ b/bugs_examples/vol2/beetles/beetles_cloglog.init.json @@ -0,0 +1,4 @@ +{ + "beta": 0, + "alpha_star": 0 +} diff --git a/bugs_examples/vol2/beetles/beetles_logit.data.json b/bugs_examples/vol2/beetles/beetles_logit.data.json new file mode 100644 index 00000000..49e8984e --- /dev/null +++ b/bugs_examples/vol2/beetles/beetles_logit.data.json @@ -0,0 +1,6 @@ +{ + "x": [1.6907, 1.7242, 1.7552, 1.7842, 1.8113, 1.8369, 1.861, 1.8839], + "N": 8, + "n": [59, 60, 62, 56, 63, 59, 62, 60], + "r": [6, 13, 18, 28, 52, 53, 61, 60] +} diff --git a/bugs_examples/vol2/beetles/beetles_logit.init.json b/bugs_examples/vol2/beetles/beetles_logit.init.json new file mode 100644 index 00000000..d927f5bf --- /dev/null +++ b/bugs_examples/vol2/beetles/beetles_logit.init.json @@ -0,0 +1,4 @@ +{ + "beta": 0, + "alpha_star": 0 +} diff --git a/bugs_examples/vol2/beetles/beetles_probit.data.json b/bugs_examples/vol2/beetles/beetles_probit.data.json new file mode 100644 index 00000000..49e8984e --- /dev/null +++ b/bugs_examples/vol2/beetles/beetles_probit.data.json @@ -0,0 +1,6 @@ +{ + "x": [1.6907, 1.7242, 1.7552, 1.7842, 1.8113, 1.8369, 1.861, 1.8839], + "N": 8, + "n": [59, 60, 62, 56, 63, 59, 62, 60], + "r": [6, 13, 18, 28, 52, 53, 61, 60] +} diff --git a/bugs_examples/vol2/beetles/beetles_probit.init.json b/bugs_examples/vol2/beetles/beetles_probit.init.json new file mode 100644 index 00000000..d927f5bf --- /dev/null +++ b/bugs_examples/vol2/beetles/beetles_probit.init.json @@ -0,0 +1,4 @@ +{ + "beta": 0, + "alpha_star": 0 +} diff --git a/bugs_examples/vol2/birats/birats.data.json b/bugs_examples/vol2/birats/birats.data.json new file mode 100644 index 00000000..08479440 --- /dev/null +++ b/bugs_examples/vol2/birats/birats.data.json @@ -0,0 +1,42 @@ +{ + "x": [8, 15, 22, 29, 36], + "Omega": [ + [0.005, 0], + [0, 5] + ], + "y": [ + [151, 199, 246, 283, 320], + [145, 199, 249, 293, 354], + [147, 214, 263, 312, 328], + [155, 200, 237, 272, 297], + [135, 188, 230, 280, 323], + [159, 210, 252, 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+++ b/bugs_examples/vol2/dugongs/dugongs.init.json @@ -0,0 +1,6 @@ +{ + "alpha": 1, + "lambda": 0.9, + "tau": 1, + "beta": 1 +} diff --git a/bugs_examples/vol2/endo/endo1.data.json b/bugs_examples/vol2/endo/endo1.data.json new file mode 100644 index 00000000..c9be0384 --- /dev/null +++ b/bugs_examples/vol2/endo/endo1.data.json @@ -0,0 +1,7 @@ +{ + "n01": 7, + "I": 183, + "J": 2, + "n10": 43, + "n11": 12 +} diff --git a/bugs_examples/vol2/endo/endo1.init.json b/bugs_examples/vol2/endo/endo1.init.json new file mode 100644 index 00000000..5585dcf5 --- /dev/null +++ b/bugs_examples/vol2/endo/endo1.init.json @@ -0,0 +1,3 @@ +{ + "beta": 0 +} diff --git a/bugs_examples/vol2/endo/endo2.data.json b/bugs_examples/vol2/endo/endo2.data.json new file mode 100644 index 00000000..c9be0384 --- /dev/null +++ b/bugs_examples/vol2/endo/endo2.data.json @@ -0,0 +1,7 @@ +{ + "n01": 7, + "I": 183, + "J": 2, + "n10": 43, + "n11": 12 +} diff --git a/bugs_examples/vol2/endo/endo2.init.json b/bugs_examples/vol2/endo/endo2.init.json new file mode 100644 index 00000000..5585dcf5 --- /dev/null +++ b/bugs_examples/vol2/endo/endo2.init.json @@ -0,0 +1,3 @@ +{ + "beta": 0 +} diff --git a/bugs_examples/vol2/endo/endo3.data.json b/bugs_examples/vol2/endo/endo3.data.json new file mode 100644 index 00000000..c9be0384 --- /dev/null +++ b/bugs_examples/vol2/endo/endo3.data.json @@ -0,0 +1,7 @@ +{ + "n01": 7, + "I": 183, + "J": 2, + "n10": 43, + "n11": 12 +} diff --git a/bugs_examples/vol2/endo/endo3.init.json b/bugs_examples/vol2/endo/endo3.init.json new file mode 100644 index 00000000..98470c4a --- /dev/null +++ b/bugs_examples/vol2/endo/endo3.init.json @@ -0,0 +1,4 @@ +{ + "beta0": [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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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b/bugs_examples/vol2/eyes/eyes.init.json @@ -0,0 +1,6 @@ +{ + "theta": 5, + "p1": 0.5, + "sigmasq": 10, + "lambda_1": 535 +} diff --git a/bugs_examples/vol2/hearts/hearts.data.json b/bugs_examples/vol2/hearts/hearts.data.json new file mode 100644 index 00000000..f765902a --- /dev/null +++ b/bugs_examples/vol2/hearts/hearts.data.json @@ -0,0 +1,6 @@ +{ + "t": [11, 11, 17, 22, 9, 6, 5, 14, 9, 7, 22, 51], + "x": [6, 9, 17, 22, 7, 5, 5, 14, 9, 7, 9, 51], + "y": [5, 2, 0, 0, 2, 1, 0, 0, 0, 0, 13, 0], + "N": 12 +} diff --git a/bugs_examples/vol2/hearts/hearts.init.json b/bugs_examples/vol2/hearts/hearts.init.json new file mode 100644 index 00000000..b597e0fd --- /dev/null +++ b/bugs_examples/vol2/hearts/hearts.init.json @@ -0,0 +1,4 @@ +{ + "alpha": 0, + "delta": 0 +} diff --git a/bugs_examples/vol2/ice/ice.data.json b/bugs_examples/vol2/ice/ice.data.json new file mode 100644 index 00000000..d1d497b5 --- /dev/null +++ b/bugs_examples/vol2/ice/ice.data.json @@ -0,0 +1,10 @@ +{ + "year": [6, 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b/bugs_examples/vol2/jaws/jaws.init.json new file mode 100644 index 00000000..84f0bf82 --- /dev/null +++ b/bugs_examples/vol2/jaws/jaws.init.json @@ -0,0 +1,10 @@ +{ + "beta0": 40, + "beta1": 1, + "Sigma": [ + [1, 0, 0, 0], + [0, 1, 0, 0], + [0, 0, 1, 0], + [0, 0, 0, 1] + ] +} diff --git a/bugs_examples/vol2/mvn_orange/mvn_orange.data.json b/bugs_examples/vol2/mvn_orange/mvn_orange.data.json new file mode 100644 index 00000000..e87a287c --- /dev/null +++ b/bugs_examples/vol2/mvn_orange/mvn_orange.data.json @@ -0,0 +1,23 @@ +{ + "Y": [ + [30, 58, 87, 115, 120, 142, 145], + [33, 69, 111, 156, 172, 203, 203], + [30, 51, 75, 108, 115, 139, 140], + [32, 62, 112, 167, 179, 209, 214], + [30, 49, 81, 125, 142, 174, 177] + ], + "mu_var_prior": [ + [1000000, 0, 0], + [0, 1000000, 0], + [0, 0, 1000000] + ], + "x": [118, 484, 664, 1004, 1231, 1372, 1582], + "invR": [ + [0.1, 0, 0], + [0, 0.1, 0], + [0, 0, 0.1] + ], + "K": 5, + "N": 7, + "mu_m_prior": [0, 0, 0] +} diff --git a/bugs_examples/vol2/mvn_orange/mvn_orange.init.json b/bugs_examples/vol2/mvn_orange/mvn_orange.init.json new file mode 100644 index 00000000..675dec4c --- /dev/null +++ b/bugs_examples/vol2/mvn_orange/mvn_orange.init.json @@ -0,0 +1,16 @@ +{ + "sigma2": [ + [1, 0, 0], + [0, 1, 0], + [0, 0, 1] + ], + "theta": [ + [5, -6, 2], + [2, 5, -6], + [-6, 2, 5], + [5, -6, 2], + [2, 5, -6] + ], + "mu": [5, 2, -6], + "sigmasq": 0.05 +} diff --git a/bugs_examples/vol2/orange/orange.data.json b/bugs_examples/vol2/orange/orange.data.json new file mode 100644 index 00000000..1f5f0aae --- /dev/null +++ b/bugs_examples/vol2/orange/orange.data.json @@ -0,0 +1,12 @@ +{ + "Y": [ + [30, 58, 87, 115, 120, 142, 145], + [33, 69, 111, 156, 172, 203, 203], + [30, 51, 75, 108, 115, 139, 140], + [32, 62, 112, 167, 179, 209, 214], + [30, 49, 81, 125, 142, 174, 177] + ], + "x": [118, 484, 664, 1004, 1231, 1372, 1582], + "K": 5, + "N": 7 +} diff --git a/bugs_examples/vol2/orange/orange.init.json b/bugs_examples/vol2/orange/orange.init.json new file mode 100644 index 00000000..d0d90c47 --- /dev/null +++ b/bugs_examples/vol2/orange/orange.init.json @@ -0,0 +1,12 @@ +{ + "theta": [ + [5, 2, -6], + [5, 2, -6], + [5, 2, -6], + [5, 2, -6], + [5, 2, -6] + ], + "mu": [5, 2, -6], + "tau": [20, 20, 20], + "tau_C": 20 +} diff --git a/bugs_examples/vol2/pines/pines.data.json b/bugs_examples/vol2/pines/pines.data.json new file mode 100644 index 00000000..3c024c6f --- /dev/null +++ b/bugs_examples/vol2/pines/pines.data.json @@ -0,0 +1,6 @@ +{ + "x": [29.2, 24.7, 32.3, 31.3, 31.5, 24.5, 19.9, 27.3, 27.1, 24, 33.8, 21.5, 32.2, 22.5, 27.5, 25.6, 34.5, 26.2, 26.7, 21.1, 24.1, 30.7, 32.7, 32.6, 22.1, 25.3, 30.8, 38.9, 22.1, 29.2, 30.1, 31.4, 26.7, 22.1, 30.3, 32, 23.2, 30.3, 29.9, 20.8, 33.2, 28.2], + "y": [3040, 2470, 3610, 3480, 3810, 2330, 1800, 3110, 3160, 2310, 4360, 1880, 3670, 1740, 2250, 2650, 4970, 2620, 2900, 1670, 2540, 3840, 3800, 4600, 1900, 2530, 2920, 4990, 1670, 3310, 3450, 3600, 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a/bugs_examples/vol3/data_cloning/seeds.data.json b/bugs_examples/vol3/data_cloning/seeds.data.json new file mode 100644 index 00000000..bd87198b --- /dev/null +++ b/bugs_examples/vol3/data_cloning/seeds.data.json @@ -0,0 +1,7 @@ +{ + "I": 21, + "N": [39, 62, 81, 51, 39, 6, 74, 72, 51, 79, 13, 16, 30, 28, 45, 4, 12, 41, 30, 51, 7], + "n": [10, 23, 23, 26, 17, 5, 53, 55, 32, 46, 10, 8, 10, 8, 23, 0, 3, 22, 15, 32, 3], + "x1": [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], + "x2": [0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1] +} diff --git a/bugs_examples/vol3/fire/fire.data.json b/bugs_examples/vol3/fire/fire.data.json new file mode 100644 index 00000000..335f69bb --- /dev/null +++ b/bugs_examples/vol3/fire/fire.data.json @@ -0,0 +1,4 @@ +{ + "x": [1.6837482, 2.0937042, 1.7325813, 1.779754, 4.6120059, 8.7252738, 7.8989751, 2.2080454, 1.4860908, 2.7961713, 7.3206442, 3.3674963, 1.4641288, 1.7222225, 11.374817, 2.4827394, 26.2146413, 2.0024305, 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81, 83, 86, 88, 89, 90, 91, 92, 93, 94, 95, 97, 2, 3, 6, 7, 8, 10, 11, 12, 13, 14, 16, 20, 21, 23, 25, 26, 28, 30, 34, 38, 39, 41, 42, 43, 44, 45, 47, 48, 49, 51, 52, 53, 55, 56, 57, 58, 59, 60, 62, 63, 64, 67, 68, 69, 71, 73, 75, 76, 77, 78, 81, 82, 83, 84, 85, 86, 87, 88, 90, 91, 92, 93, 95, 96, 97, 98, 99, 100, 1, 2, 3, 4, 7, 8, 10, 11, 15, 16, 17, 18, 23, 24, 25, 26, 28, 29, 30, 31, 32, 33, 34, 37, 38, 39, 40, 42, 44, 46, 48, 50, 52, 53, 54, 56, 58, 61, 62, 64, 65, 66, 69, 70, 73, 74, 75, 77, 78, 79, 80, 81, 82, 83, 85, 86, 88, 89, 90, 91, 93, 94, 96, 97, 98, 99, 100, 3, 4, 6, 7, 8, 11, 13, 14, 15, 16, 17, 18, 19, 21, 22, 25, 26, 27, 28, 29, 30, 31, 32, 33, 37, 39, 40, 41, 42, 43, 45, 47, 49, 51, 52, 53, 54, 55, 56, 57, 58, 61, 62, 64, 65, 66, 68, 71, 72, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 86, 87, 88, 89, 91, 92, 93, 94, 95, 97, 98, 99, 1, 3, 5, 6, 7, 8, 10, 11, 13, 14, 16, 17, 18, 19, 21, 22, 23, 24, 25, 27, 29, 32, 33, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 47, 49, 50, 52, 53, 54, 55, 56, 58, 59, 60, 61, 62, 67, 71, 72, 74, 75, 76, 77, 78, 79, 80, 81, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 99, 100, 1, 3, 5, 6, 7, 8, 9, 10, 12, 13, 16, 17, 18, 19, 20, 22, 23, 24, 25, 27, 30, 31, 32, 33, 34, 35, 37, 38, 39, 41, 42, 43, 44, 46, 48, 49, 50, 52, 54, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 82, 83, 84, 85, 87, 88, 89, 91, 96, 97, 98, 99, 100, 1, 2, 3, 4, 6, 7, 8, 9, 10, 11, 12, 14, 15, 17, 20, 21, 22, 23, 25, 26, 27, 29, 30, 31, 33, 34, 35, 36, 37, 38, 39, 42, 43, 44, 45, 46, 48, 49, 51, 54, 55, 56, 58, 59, 61, 62, 63, 64, 65, 66, 68, 70, 71, 72, 73, 75, 76, 77, 78, 79, 83, 84, 85, 86, 87, 88, 89, 91, 92, 93, 94, 95, 96, 97, 99, 100, 1, 2, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 18, 21, 22, 23, 24, 25, 26, 29, 30, 31, 33, 34, 35, 36, 37, 38, 40, 41, 42, 43, 46, 47, 48, 50, 51, 52, 53, 54, 55, 56, 57, 59, 60, 62, 63, 64, 65, 67, 68, 69, 70, 72, 74, 76, 77, 78, 79, 80, 82, 83, 84, 86, 87, 88, 90, 92, 93, 94, 95, 97, 100, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15, 16, 17, 18, 20, 21, 22, 23, 24, 25, 27, 28, 29, 30, 31, 33, 34, 35, 36, 37, 38, 40, 41, 42, 45, 46, 47, 48, 49, 50, 51, 53, 54, 55, 56, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 73, 74, 76, 77, 78, 79, 80, 81, 82, 83, 84, 86, 87, 90, 91, 94, 95, 96, 97, 99, 100, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 20, 21, 22, 23, 24, 25, 26, 27, 28, 30, 33, 34, 35, 36, 37, 38, 39, 40, 41, 43, 45, 46, 47, 48, 49, 51, 52, 53, 54, 55, 57, 58, 61, 62, 64, 65, 66, 68, 70, 71, 72, 73, 74, 75, 77, 78, 80, 81, 82, 83, 86, 87, 88, 89, 91, 92, 93, 94, 96, 97, 99, 1, 2, 3, 4, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 40, 41, 42, 43, 44, 45, 46, 50, 51, 52, 53, 54, 55, 56, 57, 59, 60, 61, 62, 64, 65, 66, 68, 69, 72, 73, 74, 75, 76, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 92, 93, 94, 95, 97, 98, 99, 100, 1, 3, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 37, 38, 40, 41, 42, 43, 44, 45, 46, 48, 49, 50, 51, 52, 54, 56, 57, 59, 60, 61, 63, 64, 66, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 86, 87, 88, 89, 90, 91, 93, 94, 95, 96, 97, 98, 99, 100, 1, 2, 3, 4, 5, 6, 7, 9, 11, 12, 14, 15, 16, 17, 18, 19, 22, 23, 24, 25, 26, 30, 31, 32, 35, 36, 37, 38, 40, 41, 42, 43, 44, 45, 46, 47, 48, 50, 52, 53, 54, 55, 56, 57, 59, 60, 61, 62, 63, 66, 67, 68, 69, 71, 73, 74, 75, 76, 79, 80, 81, 82, 86, 88, 89, 90, 92, 93, 94, 95, 96, 97, 98, 99, 1, 4, 5, 7, 8, 10, 11, 12, 14, 15, 16, 17, 18, 19, 20, 22, 23, 24, 27, 28, 29, 30, 31, 32, 33, 34, 35, 37, 39, 40, 41, 42, 43, 46, 47, 50, 51, 54, 55, 56, 57, 58, 59, 60, 62, 63, 64, 66, 68, 70, 72, 73, 74, 75, 76, 77, 78, 79, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 93, 98, 99, 1, 3, 4, 6, 7, 8, 9, 10, 11, 12, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 34, 35, 37, 38, 40, 41, 43, 45, 46, 48, 49, 51, 52, 53, 54, 55, 56, 57, 64, 65, 69, 70, 71, 72, 73, 74, 78, 80, 82, 83, 84, 85, 87, 88, 89, 91, 92, 93, 95, 96, 97, 98, 99, 1, 2, 3, 4, 5, 7, 10, 12, 13, 14, 17, 18, 19, 20, 22, 23, 24, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 41, 42, 43, 44, 45, 48, 49, 50, 51, 52, 53, 54, 56, 57, 58, 60, 61, 62, 63, 64, 65, 67, 68, 70, 71, 73, 74, 75, 76, 77, 79, 80, 82, 84, 85, 86, 87, 88, 89, 90, 91, 92, 94, 95, 96, 98, 99, 100, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 15, 17, 18, 19, 21, 23, 24, 25, 27, 28, 30, 31, 32, 33, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 52, 53, 54, 55, 56, 57, 58, 60, 61, 63, 65, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 78, 79, 80, 81, 82, 83, 84, 86, 88, 90, 92, 93, 95, 96, 98, 100, 3, 4, 5, 7, 8, 9, 10, 11, 14, 15, 16, 18, 19, 21, 22, 23, 25, 26, 27, 29, 32, 33, 34, 35, 36, 37, 38, 40, 41, 42, 45, 46, 47, 48, 49, 51, 52, 53, 55, 56, 58, 59, 62, 63, 66, 67, 68, 69, 70, 71, 72, 73, 74, 76, 77, 78, 79, 80, 81, 82, 83, 84, 87, 90, 91, 92, 93, 94, 95, 97, 98, 99, 1, 3, 4, 7, 8, 9, 12, 13, 14, 16, 17, 19, 20, 21, 22, 24, 25, 27, 28, 29, 30, 31, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 46, 47, 48, 50, 51, 52, 53, 55, 57, 58, 59, 60, 61, 62, 63, 64, 66, 67, 68, 69, 70, 72, 73, 75, 77, 80, 81, 82, 83, 84, 85, 88, 90, 91, 93, 95, 96, 97, 98, 99, 100, 1, 2, 3, 4, 5, 8, 10, 11, 12, 13, 15, 16, 18, 21, 22, 25, 26, 27, 28, 29, 31, 32, 33, 34, 37, 39, 40, 42, 43, 45, 46, 48, 51, 52, 53, 54, 57, 59, 60, 61, 62, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 77, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 97, 98, 100, 1, 2, 3, 4, 5, 7, 8, 9, 11, 12, 13, 15, 16, 17, 18, 19, 20, 21, 23, 24, 25, 26, 27, 28, 29, 30, 32, 35, 36, 37, 38, 39, 40, 43, 44, 45, 47, 48, 53, 54, 57, 59, 60, 61, 62, 63, 64, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 83, 84, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 97, 99, 100, 1, 2, 3, 4, 7, 8, 10, 11, 12, 13, 14, 16, 17, 18, 20, 21, 22, 23, 24, 25, 26, 28, 29, 30, 31, 32, 33, 34, 35, 37, 38, 39, 40, 41, 44, 45, 46, 47, 48, 49, 50, 51, 53, 54, 57, 58, 59, 61, 62, 64, 65, 66, 67, 72, 73, 74, 75, 78, 79, 80, 82, 83, 85, 86, 87, 88, 89, 90, 92, 93, 94, 95, 97, 98, 99, 100, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 25, 26, 27, 28, 29, 31, 32, 33, 34, 36, 37, 39, 40, 42, 43, 44, 45, 47, 48, 49, 50, 51, 53, 54, 56, 57, 58, 59, 60, 61, 62, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 83, 85, 86, 87, 88, 89, 90, 91, 93, 94, 95, 96, 97, 98, 99, 100, 1, 2, 4, 5, 8, 10, 11, 12, 13, 16, 17, 19, 21, 22, 23, 24, 26, 27, 29, 30, 31, 32, 33, 34, 35, 37, 38, 39, 40, 41, 42, 45, 46, 47, 48, 49, 50, 51, 53, 54, 56, 57, 58, 59, 60, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 73, 74, 75, 76, 78, 80, 81, 82, 83, 84, 86, 87, 88, 93, 94, 95, 96, 97, 98, 99, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 27, 28, 29, 30, 31, 32, 33, 34, 35, 39, 40, 41, 42, 43, 45, 47, 48, 49, 50, 52, 53, 54, 55, 56, 57, 59, 61, 63, 64, 65, 66, 67, 68, 69, 71, 72, 73, 74, 75, 77, 78, 79, 80, 81, 82, 83, 84, 86, 87, 88, 89, 90, 92, 93, 94, 95, 96, 97, 98, 99, 100, 1, 2, 3, 4, 5, 6, 8, 9, 11, 12, 13, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 57, 59, 60, 61, 64, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 80, 81, 82, 83, 84, 85, 86, 88, 90, 92, 94, 95, 96, 97, 98, 99, 100, 2, 3, 5, 6, 7, 8, 9, 11, 14, 15, 17, 18, 19, 21, 22, 23, 24, 25, 27, 28, 29, 30, 32, 34, 35, 36, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 53, 56, 58, 59, 60, 62, 63, 64, 65, 67, 69, 70, 71, 72, 73, 74, 75, 76, 77, 82, 83, 84, 85, 86, 87, 88, 89, 90, 92, 93, 94, 95, 96, 98, 99, 100, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 33, 37, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 55, 56, 57, 58, 59, 66, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 81, 82, 83, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 98, 99, 100, 1, 3, 6, 7, 8, 9, 10, 11, 12, 13, 16, 17, 18, 19, 21, 22, 24, 25, 26, 27, 28, 30, 31, 32, 33, 36, 39, 40, 41, 42, 44, 45, 46, 47, 48, 50, 51, 52, 54, 55, 56, 60, 61, 62, 65, 66, 67, 68, 69, 70, 71, 72, 73, 75, 76, 79, 81, 82, 83, 85, 86, 88, 90, 91, 92, 94, 95, 97, 99, 100, 1, 2, 3, 4, 6, 8, 9, 11, 13, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 27, 28, 29, 30, 31, 32, 33, 35, 36, 38, 39, 40, 41, 43, 44, 45, 46, 48, 49, 51, 52, 53, 54, 55, 56, 58, 59, 61, 62, 63, 66, 67, 68, 70, 71, 72, 74, 77, 78, 80, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 94, 95, 96, 97, 98, 99, 1, 2, 3, 4, 7, 8, 9, 10, 11, 12, 13, 15, 16, 17, 18, 19, 20, 21, 23, 25, 26, 27, 29, 30, 31, 32, 33, 34, 36, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 52, 54, 55, 56, 57, 58, 59, 60, 62, 63, 66, 68, 69, 71, 74, 75, 76, 78, 79, 81, 82, 83, 84, 85, 88, 89, 90, 94, 95, 96, 97, 99, 2, 3, 4, 6, 8, 11, 12, 13, 14, 16, 17, 19, 21, 22, 23, 24, 25, 26, 27, 28, 30, 31, 32, 33, 34, 35, 36, 37, 38, 40, 41, 43, 44, 45, 46, 47, 49, 50, 55, 56, 57, 58, 59, 61, 62, 63, 65, 66, 68, 69, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 84, 86, 87, 88, 92, 94, 95, 96, 97, 99, 100, 1, 2, 3, 4, 6, 7, 9, 10, 11, 12, 13, 14, 16, 17, 18, 21, 22, 23, 25, 26, 27, 29, 30, 32, 34, 35, 36, 37, 38, 39, 40, 41, 43, 44, 45, 46, 47, 48, 50, 51, 52, 54, 55, 56, 57, 58, 59, 61, 62, 63, 64, 65, 66, 67, 68, 70, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 1, 4, 5, 7, 8, 9, 11, 12, 14, 15, 16, 17, 21, 23, 24, 25, 27, 28, 29, 30, 31, 32, 33, 34, 36, 37, 38, 40, 41, 42, 43, 44, 46, 47, 48, 49, 50, 52, 53, 55, 57, 59, 60, 61, 62, 63, 64, 65, 66, 68, 69, 70, 72, 73, 74, 75, 77, 78, 80, 82, 83, 84, 85, 86, 87, 89, 90, 91, 92, 93, 94, 96, 97, 98, 99, 100, 1, 2, 3, 4, 7, 8, 9, 10, 11, 12, 13, 15, 16, 17, 18, 20, 21, 25, 26, 27, 28, 29, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 46, 48, 49, 50, 54, 55, 56, 57, 60, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 74, 75, 77, 78, 80, 81, 84, 85, 86, 87, 88, 89, 92, 94, 95, 97, 99, 100, 1, 2, 3, 4, 5, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 22, 23, 24, 25, 26, 28, 29, 31, 32, 33, 35, 36, 37, 38, 39, 41, 43, 44, 45, 46, 48, 49, 51, 53, 56, 62, 64, 65, 67, 68, 69, 70, 72, 74, 75, 77, 78, 79, 80, 81, 84, 85, 86, 87, 88, 89, 90, 91, 93, 94, 95, 97, 98, 99, 2, 3, 4, 6, 7, 8, 9, 11, 12, 13, 14, 16, 17, 18, 20, 21, 22, 26, 27, 28, 29, 30, 32, 34, 35, 36, 38, 39, 41, 42, 43, 44, 48, 49, 50, 51, 54, 55, 56, 57, 58, 59, 60, 61, 63, 66, 67, 68, 70, 71, 72, 73, 74, 75, 79, 80, 81, 83, 87, 88, 89, 90, 93, 94, 95, 97, 98, 99, 100, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 15, 16, 18, 21, 22, 23, 25, 26, 27, 28, 29, 30, 34, 35, 36, 37, 38, 39, 41, 42, 44, 45, 46, 47, 48, 50, 52, 53, 54, 57, 58, 59, 60, 61, 62, 63, 64, 66, 69, 70, 72, 73, 74, 75, 76, 77, 78, 79, 80, 82, 83, 84, 86, 87, 89, 90, 91, 92, 93, 94, 95, 97, 98, 99, 2, 3, 4, 5, 6, 9, 10, 11, 12, 13, 14, 15, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27, 28, 29, 30, 31, 33, 34, 35, 37, 40, 41, 42, 43, 44, 45, 46, 48, 50, 51, 53, 54, 55, 56, 57, 58, 59, 60, 61, 63, 64, 66, 67, 68, 69, 70, 71, 72, 73, 74, 76, 77, 78, 79, 81, 82, 86, 87, 89, 90, 93, 94, 95, 96, 97, 98, 99, 100, 1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 13, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 29, 30, 33, 34, 35, 36, 37, 39, 40, 41, 43, 45, 46, 47, 50, 51, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 66, 67, 69, 70, 71, 74, 75, 77, 78, 79, 81, 83, 84, 85, 86, 88, 89, 90, 91, 93, 94, 95, 96, 99, 100, 1, 4, 5, 8, 10, 11, 13, 14, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27, 28, 29, 30, 33, 34, 35, 36, 38, 39, 40, 41, 42, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 59, 60, 61, 62, 63, 64, 65, 66, 68, 69, 70, 72, 73, 74, 75, 77, 78, 79, 80, 81, 82, 83, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 98, 99, 100, 2, 4, 5, 6, 7, 10, 11, 12, 13, 14, 17, 18, 20, 21, 22, 23, 24, 25, 26, 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87, 90, 91, 92, 93, 94, 95, 97, 98, 99, 100, 1, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 18, 19, 20, 22, 24, 25, 27, 28, 29, 30, 31, 33, 34, 35, 36, 37, 39, 40, 41, 42, 43, 44, 45, 46, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 60, 62, 64, 65, 66, 67, 68, 69, 71, 72, 73, 76, 78, 79, 80, 81, 82, 84, 85, 86, 87, 88, 89, 90, 92, 93, 94, 96, 97, 98, 100, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 17, 19, 20, 23, 24, 25, 27, 29, 30, 31, 32, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 45, 46, 49, 51, 52, 54, 55, 57, 58, 59, 60, 61, 62, 63, 64, 65, 68, 69, 70, 73, 75, 76, 78, 79, 80, 81, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 95, 96, 98, 99, 1, 2, 4, 5, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 23, 25, 26, 27, 28, 29, 30, 31, 32, 33, 35, 36, 37, 38, 40, 42, 43, 44, 45, 47, 48, 49, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 67, 68, 70, 71, 72, 74, 75, 76, 77, 78, 79, 80, 81, 85, 86, 88, 89, 90, 91, 92, 94, 95, 96, 98, 99, 100, 1, 3, 4, 5, 6, 9, 13, 14, 15, 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78, 79, 80, 81, 82, 84, 85, 86, 87, 89, 90, 92, 93, 95, 96, 98, 99, 100, 1, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 16, 17, 18, 19, 20, 21, 22, 23, 24, 27, 28, 29, 32, 33, 34, 35, 36, 37, 38, 40, 41, 42, 43, 44, 45, 46, 47, 49, 50, 51, 52, 53, 54, 55, 56, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 70, 71, 72, 73, 77, 78, 79, 80, 82, 83, 84, 86, 87, 88, 91, 92, 93, 94, 96, 97, 98, 99, 100, 1, 3, 4, 8, 10, 13, 14, 15, 16, 17, 18, 20, 21, 22, 23, 24, 27, 29, 30, 31, 32, 33, 34, 35, 36, 37, 39, 40, 41, 42, 43, 44, 46, 47, 48, 49, 50, 52, 54, 55, 56, 57, 58, 60, 61, 63, 64, 66, 67, 68, 70, 71, 73, 74, 76, 77, 78, 80, 84, 85, 87, 88, 91, 93, 94, 96, 97, 98, 99, 100, 1, 2, 4, 5, 8, 9, 10, 11, 13, 15, 16, 17, 20, 21, 22, 23, 24, 25, 27, 28, 29, 30, 32, 34, 35, 36, 37, 38, 40, 41, 42, 43, 44, 45, 46, 48, 49, 50, 51, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 69, 71, 72, 73, 75, 76, 78, 79, 80, 83, 85, 86, 89, 90, 91, 92, 93, 94, 95, 96, 98, 99, 100, 1, 2, 3, 4, 6, 7, 9, 10, 11, 12, 14, 15, 16, 17, 18, 19, 20, 21, 22, 24, 25, 29, 31, 32, 33, 34, 35, 37, 38, 39, 40, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 60, 62, 63, 65, 66, 67, 68, 69, 70, 71, 72, 73, 75, 77, 78, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 93, 97, 98, 99, 100, 1, 2, 3, 4, 6, 7, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 23, 25, 26, 28, 29, 30, 31, 34, 36, 39, 40, 41, 42, 43, 44, 45, 46, 49, 51, 52, 53, 54, 59, 60, 61, 62, 63, 64, 65, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 82, 83, 85, 87, 88, 89, 91, 92, 93, 94, 95, 96, 97, 99, 2, 4, 6, 7, 8, 9, 11, 13, 14, 15, 16, 18, 20, 21, 22, 23, 24, 25, 26, 27, 29, 31, 32, 33, 34, 35, 36, 37, 38, 40, 42, 43, 44, 45, 46, 49, 50, 52, 55, 58, 59, 60, 61, 62, 64, 65, 66, 67, 68, 70, 71, 73, 75, 76, 77, 83, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 1, 2, 4, 5, 7, 9, 11, 13, 14, 15, 16, 18, 20, 21, 22, 24, 27, 30, 31, 32, 33, 35, 36, 38, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 52, 55, 56, 57, 58, 59, 61, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 79, 80, 81, 82, 83, 84, 85, 87, 88, 89, 90, 91, 92, 94, 95, 97, 98, 99, 100, 1, 2, 4, 5, 6, 8, 9, 12, 13, 14, 15, 16, 17, 18, 19, 20, 22, 23, 24, 25, 26, 28, 29, 30, 32, 33, 34, 35, 36, 37, 38, 41, 43, 44, 46, 48, 50, 51, 52, 54, 55, 57, 59, 60, 61, 62, 63, 64, 67, 69, 72, 73, 74, 75, 78, 80, 83, 84, 85, 87, 88, 91, 92, 93, 94, 95, 96, 97, 98, 99, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 37, 38, 39, 40, 41, 44, 45, 46, 48, 49, 50, 51, 52, 53, 54, 55, 57, 58, 59, 60, 62, 63, 64, 66, 68, 69, 70, 71, 72, 73, 74, 76, 78, 81, 82, 83, 84, 85, 88, 89, 90, 92, 93, 94, 96, 98, 99, 1, 2, 4, 6, 7, 8, 11, 12, 13, 15, 16, 17, 18, 20, 23, 24, 25, 26, 27, 28, 32, 34, 35, 38, 39, 40, 41, 42, 43, 45, 47, 49, 50, 51, 53, 54, 55, 57, 58, 59, 60, 62, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 76, 77, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 94, 96, 97, 98, 99, 100, 1, 2, 3, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 24, 27, 29, 30, 31, 32, 33, 34, 35, 36, 39, 40, 41, 42, 43, 44, 45, 47, 48, 49, 50, 51, 53, 55, 56, 57, 58, 60, 61, 62, 64, 65, 68, 69, 70, 71, 72, 75, 76, 77, 78, 79, 80, 82, 84, 85, 86, 88, 90, 91, 92, 94, 96, 97, 98, 99, 100, 1, 3, 4, 6, 7, 8, 11, 14, 15, 17, 18, 19, 22, 23, 25, 26, 27, 29, 31, 32, 33, 34, 36, 37, 38, 40, 41, 42, 45, 46, 47, 48, 51, 52, 55, 56, 57, 60, 61, 62, 63, 65, 67, 69, 70, 71, 72, 74, 75, 77, 78, 79, 80, 83, 86, 87, 88, 90, 91, 93, 94, 95, 97, 100, 1, 2, 3, 4, 6, 7, 9, 10, 11, 14, 15, 17, 20, 21, 24, 27, 28, 29, 31, 32, 33, 34, 35, 37, 38, 39, 40, 42, 43, 44, 45, 46, 47, 50, 51, 52, 53, 54, 55, 56, 57, 59, 60, 61, 62, 63, 64, 66, 67, 68, 70, 71, 72, 74, 75, 76, 77, 78, 79, 81, 82, 83, 85, 86, 87, 88, 89, 92, 93, 94, 95, 97, 99, 100, 1, 2, 3, 4, 5, 6, 9, 10, 11, 14, 15, 16, 18, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 32, 33, 36, 38, 39, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 53, 54, 59, 60, 61, 64, 65, 66, 67, 68, 69, 70, 71, 74, 75, 76, 77, 79, 82, 83, 84, 85, 86, 87, 88, 90, 91, 92, 93, 96, 97, 98, 99, 1, 3, 4, 6, 7, 8, 10, 12, 13, 15, 17, 18, 20, 22, 23, 24, 25, 27, 28, 33, 34, 36, 37, 39, 40, 41, 42, 43, 45, 46, 48, 49, 50, 51, 52, 53, 54, 55, 56, 58, 60, 61, 64, 65, 66, 67, 68, 70, 72, 75, 76, 77, 78, 79, 80, 81, 82, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 1, 2, 4, 5, 6, 8, 10, 11, 12, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 25, 26, 27, 28, 29, 30, 31, 33, 34, 35, 37, 38, 39, 40, 42, 43, 44, 45, 46, 48, 49, 50, 51, 52, 53, 58, 59, 60, 61, 62, 64, 66, 68, 70, 71, 72, 73, 74, 75, 76, 78, 79, 80, 82, 83, 84, 85, 87, 88, 89, 90, 91, 92, 94, 95, 96, 97, 98, 99, 100, 1, 2, 4, 6, 7, 8, 10, 12, 13, 14, 15, 16, 20, 21, 22, 23, 24, 25, 26, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 39, 40, 41, 43, 44, 45, 46, 47, 50, 51, 52, 53, 54, 55, 56, 59, 60, 61, 62, 63, 64, 66, 68, 69, 71, 72, 74, 75, 77, 78, 80, 86, 87, 89, 90, 91, 92, 93, 94, 95, 96, 97, 99, 100, 3, 4, 5, 8, 10, 11, 12, 13, 14, 16, 17, 18, 20, 21, 23, 24, 25, 26, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 40, 41, 42, 43, 46, 49, 50, 51, 52, 53, 54, 55, 58, 59, 60, 61, 63, 64, 67, 69, 70, 71, 72, 73, 74, 77, 78, 79, 80, 81, 82, 86, 87, 88, 91, 92, 93, 94, 97, 98, 99, 100, 2, 4, 5, 6, 7, 11, 12, 15, 17, 18, 19, 21, 22, 23, 24, 25, 26, 28, 29, 30, 32, 33, 34, 35, 36, 37, 38, 39, 40, 43, 44, 45, 46, 47, 50, 51, 54, 55, 56, 57, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 70, 71, 72, 73, 74, 77, 79, 80, 81, 82, 83, 85, 88, 89, 90, 91, 92, 94, 95, 96, 97, 98, 99, 100, 2, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 20, 21, 22, 23, 24, 25, 26, 28, 29, 30, 32, 33, 35, 36, 37, 38, 39, 41, 42, 43, 45, 46, 47, 49, 50, 51, 52, 55, 56, 57, 59, 60, 61, 62, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 79, 80, 81, 82, 83, 84, 86, 87, 90, 91, 92, 96, 97, 99, 2, 3, 5, 6, 7, 10, 14, 15, 16, 17, 18, 20, 21, 22, 23, 24, 25, 26, 28, 29, 30, 31, 32, 33, 34, 36, 37, 38, 39, 40, 41, 42, 43, 45, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 59, 60, 61, 62, 64, 65, 67, 69, 70, 71, 72, 73, 77, 78, 79, 81, 83, 84, 85, 86, 87, 88, 89, 90, 92, 93, 94, 95, 96, 98, 99, 100, 1, 2, 3, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 17, 18, 20, 23, 24, 25, 26, 27, 30, 31, 33, 34, 35, 36, 37, 38, 39, 40, 42, 45, 46, 47, 48, 49, 50, 51, 53, 54, 55, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 77, 79, 81, 82, 83, 84, 85, 86, 89, 91, 92, 93, 94, 95, 96, 97, 98, 1, 2, 3, 4, 5, 6, 9, 10, 11, 12, 13, 14, 15, 18, 19, 20, 22, 23, 24, 25, 26, 27, 28, 29, 31, 33, 34, 35, 36, 37, 39, 40, 41, 42, 43, 44, 45, 46, 47, 50, 52, 53, 55, 56, 57, 58, 59, 61, 64, 65, 66, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 81, 82, 84, 85, 86, 87, 88, 91, 92, 95, 96, 98, 99, 2, 4, 5, 6, 7, 8, 9, 10, 12, 14, 17, 18, 19, 20, 21, 24, 25, 26, 27, 28, 29, 30, 31, 32, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 46, 47, 48, 49, 51, 52, 53, 55, 56, 57, 59, 60, 62, 63, 64, 67, 68, 69, 70, 72, 73, 74, 75, 78, 79, 80, 81, 82, 84, 85, 87, 88, 89, 90, 93, 97, 100, 1, 2, 3, 4, 5, 7, 8, 9, 10, 12, 13, 14, 15, 16, 17, 19, 20, 21, 22, 23, 24, 25, 26, 29, 30, 31, 32, 33, 34, 35, 36, 39, 41, 42, 43, 44, 46, 47, 48, 49, 50, 53, 54, 56, 57, 58, 59, 60, 61, 62, 63, 66, 67, 68, 70, 71, 72, 74, 76, 77, 78, 79, 82, 83, 84, 86, 89, 90, 92, 93, 95, 96, 97, 98, 100, 1, 2, 3, 5, 6, 7, 8, 9, 10, 11, 12, 14, 15, 16, 17, 18, 20, 21, 23, 24, 25, 26, 28, 29, 30, 33, 35, 36, 37, 38, 39, 42, 43, 44, 45, 46, 47, 48, 50, 51, 52, 53, 54, 56, 57, 58, 59, 60, 63, 64, 65, 66, 67, 68, 69, 70, 72, 73, 74, 75, 76, 77, 79, 80, 83, 85, 86, 87, 88, 89, 91, 92, 93, 95, 97, 98, 99, 1, 2, 3, 5, 6, 7, 8, 10, 11, 12, 13, 14, 15, 16, 19, 20, 21, 22, 23, 26, 27, 29, 33, 34, 37, 38, 39, 41, 42, 43, 44, 45, 46, 49, 50, 51, 52, 53, 54, 56, 57, 58, 59, 60, 61, 63, 64, 65, 66, 67, 68, 70, 72, 73, 78, 79, 80, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 95, 96, 97, 98, 99, 100, 1, 2, 3, 5, 6, 7, 8, 9, 12, 13, 14, 15, 16, 17, 18, 19, 20, 22, 23, 25, 26, 27, 28, 29, 32, 33, 34, 35, 36, 37, 38, 39, 44, 45, 46, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 63, 64, 65, 66, 67, 68, 69, 71, 72, 74, 75, 77, 79, 80, 81, 83, 84, 85, 86, 87, 90, 92, 93, 94, 95, 97, 98, 99, 1, 2, 3, 11, 12, 13, 14, 16, 17, 18, 19, 21, 22, 23, 24, 25, 26, 27, 29, 30, 31, 32, 33, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 46, 47, 49, 50, 51, 52, 53, 54, 56, 58, 59, 60, 61, 63, 64, 67, 68, 69, 70, 71, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 2, 3, 4, 5, 6, 7, 11, 12, 13, 14, 15, 16, 19, 21, 22, 24, 25, 26, 27, 28, 29, 30, 32, 33, 34, 36, 37, 38, 39, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 53, 55, 56, 57, 62, 64, 66, 67, 68, 69, 71, 72, 75, 76, 77, 79, 80, 81, 83, 84, 85, 87, 88, 89, 92, 93, 94, 95, 96, 98, 99, 100, 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 14, 16, 17, 19, 20, 21, 24, 25, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 57, 58, 60, 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57, 59, 60, 61, 64, 67, 68, 69, 72, 73, 74, 77, 78, 82, 83, 84, 86, 88, 89, 90, 91, 92, 94, 95, 97, 99, 100, 1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 13, 14, 16, 17, 18, 19, 20, 21, 22, 23, 24, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 39, 40, 42, 43, 44, 45, 46, 47, 48, 50, 54, 55, 56, 57, 58, 59, 63, 64, 65, 66, 68, 69, 72, 73, 74, 76, 77, 80, 81, 82, 83, 85, 86, 87, 92, 93, 94, 95, 96, 97, 98, 1, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 19, 20, 21, 22, 23, 24, 25, 27, 28, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 45, 46, 47, 49, 51, 52, 53, 54, 55, 57, 58, 59, 60, 63, 64, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 78, 80, 81, 82, 85, 87, 88, 90, 91, 92, 94, 95, 96, 97, 98, 99, 100, 2, 3, 4, 5, 7, 9, 10, 12, 13, 14, 15, 17, 19, 21, 22, 23, 25, 26, 27, 28, 29, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 47, 50, 51, 52, 53, 54, 55, 57, 58, 59, 61, 62, 65, 66, 67, 68, 69, 70, 72, 73, 74, 75, 76, 77, 79, 81, 82, 83, 85, 86, 87, 88, 90, 91, 96, 97, 98, 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2, 3, 5, 6, 7, 8, 9, 10, 11, 13, 14, 15, 16, 18, 19, 20, 21, 24, 25, 26, 28, 29, 31, 32, 33, 34, 35, 37, 40, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 66, 67, 68, 70, 71, 72, 75, 76, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 1, 3, 4, 5, 8, 9, 11, 12, 13, 15, 16, 17, 18, 20, 21, 23, 24, 25, 27, 29, 30, 31, 32, 33, 34, 35, 37, 38, 39, 40, 42, 43, 44, 46, 47, 48, 49, 50, 51, 52, 53, 56, 58, 60, 61, 62, 63, 66, 67, 68, 70, 71, 72, 74, 75, 76, 77, 80, 81, 82, 83, 84, 85, 87, 88, 89, 91, 92, 94, 95, 96, 97, 98, 99, 100, 1, 3, 4, 5, 6, 7, 8, 9, 10, 12, 13, 14, 15, 16, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 35, 36, 37, 38, 39, 40, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 56, 57, 58, 60, 61, 63, 65, 66, 67, 69, 71, 72, 73, 74, 75, 77, 78, 80, 82, 83, 84, 85, 86, 87, 89, 90, 92, 93, 94, 96, 97, 98, 99, 100, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 15, 17, 18, 19, 20, 22, 23, 24, 26, 29, 30, 31, 32, 33, 34, 35, 36, 37, 39, 40, 41, 42, 44, 47, 48, 49, 51, 52, 55, 57, 59, 60, 62, 63, 64, 65, 66, 67, 68, 69, 71, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 85, 86, 87, 90, 91, 92, 93, 94, 96, 97, 98, 100, 1, 3, 4, 5, 8, 11, 12, 13, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 33, 35, 36, 37, 38, 39, 43, 47, 48, 49, 50, 51, 52, 53, 55, 56, 57, 59, 60, 61, 63, 65, 66, 69, 70, 71, 72, 74, 75, 76, 77, 79, 80, 81, 82, 83, 86, 88, 89, 91, 92, 93, 97, 98, 99, 100, 1, 2, 3, 4, 5, 6, 7, 8, 9, 12, 13, 14, 15, 16, 18, 19, 20, 21, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 35, 37, 38, 39, 40, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 54, 55, 56, 59, 60, 62, 66, 67, 68, 70, 71, 72, 73, 75, 76, 77, 78, 80, 82, 83, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 25, 26, 27, 28, 30, 32, 33, 34, 36, 37, 39, 40, 41, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 56, 58, 59, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 72, 73, 74, 75, 76, 77, 78, 79, 80, 83, 84, 85, 86, 87, 88, 89, 90, 91, 93, 95, 96, 97, 100, 1, 2, 3, 4, 5, 7, 8, 10, 11, 12, 15, 17, 18, 19, 20, 21, 22, 23, 25, 26, 28, 29, 30, 31, 32, 33, 34, 37, 38, 40, 41, 42, 43, 44, 46, 47, 51, 52, 53, 54, 55, 57, 59, 60, 61, 62, 63, 64, 65, 66, 68, 69, 70, 71, 73, 74, 75, 76, 78, 79, 80, 81, 82, 83, 84, 86, 88, 89, 90, 91, 92, 93, 94, 96, 97, 99, 100, 1, 2, 3, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 18, 20, 21, 22, 23, 24, 25, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 40, 43, 44, 45, 46, 49, 50, 51, 52, 56, 57, 59, 60, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 74, 75, 76, 77, 78, 80, 81, 84, 85, 86, 87, 88, 89, 91, 93, 94, 95, 96, 98, 100, 2, 3, 5, 6, 7, 8, 9, 10, 12, 13, 14, 15, 16, 17, 18, 19, 20, 22, 23, 24, 25, 28, 29, 31, 32, 34, 36, 37, 38, 39, 40, 41, 42, 43, 45, 46, 47, 48, 49, 50, 51, 53, 54, 56, 57, 59, 60, 61, 62, 63, 64, 65, 66, 68, 70, 71, 73, 74, 75, 77, 78, 79, 80, 81, 82, 85, 86, 90, 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36, 37, 38, 39, 40, 41, 42, 43, 44, 46, 47, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 62, 63, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 79, 80, 81, 82, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 96, 97, 98, 99, 100, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 13, 16, 17, 18, 20, 21, 22, 24, 27, 28, 29, 31, 32, 33, 34, 35, 37, 38, 39, 40, 42, 43, 44, 45, 46, 50, 52, 53, 54, 55, 56, 58, 60, 62, 63, 64, 66, 67, 68, 70, 71, 72, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 90, 91, 92, 93, 95, 97, 98, 1, 3, 4, 5, 8, 9, 10, 11, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 24, 26, 27, 28, 29, 30, 31, 32, 33, 34, 36, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 52, 54, 55, 58, 59, 60, 61, 62, 64, 65, 66, 67, 70, 71, 75, 76, 77, 78, 79, 80, 81, 83, 84, 85, 86, 87, 88, 89, 91, 92, 93, 94, 96, 97, 98, 100, 3, 5, 7, 8, 9, 10, 13, 14, 15, 16, 17, 18, 19, 21, 22, 23, 24, 27, 28, 29, 31, 32, 34, 35, 36, 37, 38, 39, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 69, 70, 71, 72, 73, 74, 76, 77, 80, 81, 84, 87, 88, 90, 91, 92, 93, 95, 96, 97, 99, 100, 2, 3, 4, 5, 7, 8, 9, 11, 12, 15, 18, 19, 20, 22, 23, 24, 25, 28, 30, 31, 33, 34, 35, 36, 37, 39, 42, 44, 46, 47, 48, 49, 50, 51, 52, 53, 54, 57, 58, 60, 61, 62, 63, 64, 65, 66, 67, 68, 71, 72, 73, 74, 76, 77, 78, 80, 82, 83, 85, 86, 87, 88, 90, 93, 97, 98, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 13, 14, 15, 16, 18, 19, 20, 21, 23, 24, 27, 28, 29, 31, 32, 33, 34, 35, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 50, 51, 52, 54, 55, 56, 57, 58, 59, 61, 62, 64, 66, 67, 68, 69, 70, 71, 73, 74, 75, 76, 77, 78, 80, 83, 84, 85, 88, 89, 90, 92, 93, 94, 95, 96, 98, 99, 100, 1, 2, 4, 5, 9, 12, 13, 15, 17, 18, 19, 20, 21, 22, 23, 27, 28, 29, 30, 31, 32, 35, 37, 38, 40, 41, 42, 43, 44, 46, 47, 48, 49, 52, 53, 54, 55, 57, 58, 59, 60, 61, 63, 64, 67, 68, 69, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 87, 88, 89, 90, 91, 95, 96, 98, 99, 100, 2, 3, 4, 5, 6, 8, 10, 11, 13, 14, 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47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 58, 59, 60, 61, 62, 63, 65, 66, 67, 68, 69, 70, 72, 73, 75, 76, 77, 79, 81, 83, 84, 85, 86, 87, 88, 89, 90, 92, 93, 94, 95, 96, 97, 98, 99, 100, 1, 2, 4, 6, 7, 8, 9, 10, 12, 13, 14, 15, 16, 17, 18, 20, 21, 22, 23, 24, 25, 27, 29, 30, 31, 32, 35, 37, 38, 39, 40, 41, 42, 44, 45, 49, 50, 53, 54, 55, 56, 57, 59, 60, 61, 62, 63, 64, 65, 66, 67, 69, 70, 72, 73, 74, 75, 76, 77, 78, 81, 82, 83, 84, 85, 90, 91, 92, 93, 94, 95, 97, 98, 99, 100, 1, 4, 5, 6, 8, 9, 11, 12, 13, 14, 15, 16, 17, 19, 20, 23, 24, 25, 26, 27, 29, 30, 31, 32, 33, 34, 35, 36, 38, 39, 41, 42, 45, 46, 47, 48, 49, 50, 52, 54, 56, 59, 60, 61, 62, 63, 64, 65, 67, 68, 69, 70, 71, 72, 73, 74, 76, 78, 79, 80, 81, 82, 83, 85, 86, 87, 88, 89, 90, 91, 94, 95, 96, 98, 100, 1, 2, 3, 4, 6, 8, 10, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 25, 26, 27, 28, 29, 30, 34, 37, 38, 39, 42, 44, 45, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 60, 61, 62, 63, 64, 65, 66, 68, 70, 71, 72, 73, 74, 75, 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6, 7, 8, 9, 12, 13, 14, 15, 19, 21, 22, 23, 24, 25, 27, 29, 30, 31, 33, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 46, 48, 52, 53, 54, 55, 56, 58, 59, 60, 61, 62, 63, 65, 66, 68, 69, 70, 71, 72, 73, 75, 76, 78, 80, 81, 83, 84, 85, 86, 88, 91, 93, 95, 96, 97, 98, 99, 1, 4, 5, 7, 8, 9, 11, 13, 15, 16, 17, 19, 21, 23, 25, 26, 32, 33, 36, 37, 38, 39, 40, 41, 42, 43, 46, 48, 50, 51, 52, 54, 56, 57, 59, 61, 62, 63, 64, 65, 69, 72, 73, 74, 75, 76, 80, 81, 83, 84, 85, 86, 88, 89, 91, 92, 93, 94, 98, 99, 100, 4, 5, 6, 7, 8, 9, 11, 13, 14, 15, 17, 18, 20, 23, 24, 25, 26, 28, 29, 30, 32, 34, 35, 36, 37, 38, 39, 41, 42, 43, 44, 46, 47, 49, 50, 51, 52, 53, 54, 55, 59, 60, 62, 63, 64, 65, 66, 67, 68, 70, 71, 72, 73, 74, 75, 76, 77, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 90, 92, 95, 96, 97, 98, 99, 100, 4, 6, 10, 11, 12, 14, 15, 16, 17, 19, 20, 21, 23, 24, 28, 29, 30, 32, 33, 34, 35, 37, 38, 39, 40, 41, 42, 43, 44, 45, 47, 48, 49, 50, 52, 53, 54, 56, 57, 59, 60, 61, 62, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 77, 78, 80, 82, 83, 84, 85, 87, 88, 91, 92, 93, 94, 95, 96, 98, 99, 100, 1, 3, 4, 5, 6, 7, 8, 9, 10, 11, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27, 28, 29, 30, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 46, 47, 48, 49, 50, 51, 53, 54, 57, 58, 59, 62, 63, 64, 67, 69, 70, 71, 74, 76, 77, 78, 80, 81, 82, 83, 85, 86, 87, 89, 91, 92, 93, 94, 95, 97, 98, 1, 2, 3, 4, 6, 7, 9, 10, 11, 13, 14, 15, 16, 17, 22, 26, 28, 30, 32, 33, 34, 35, 36, 37, 38, 40, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 55, 56, 58, 60, 61, 62, 63, 64, 67, 69, 70, 72, 74, 76, 77, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 95, 98, 99, 100, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 29, 32, 34, 35, 36, 37, 38, 39, 40, 41, 43, 45, 46, 47, 48, 49, 50, 52, 53, 54, 55, 57, 58, 59, 60, 61, 62, 63, 64, 66, 67, 68, 70, 71, 72, 75, 77, 78, 79, 80, 81, 82, 83, 84, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 3, 4, 5, 6, 7, 8, 9, 10, 11, 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48, 49, 50, 51, 53, 54, 55, 56, 57, 58, 60, 62, 63, 65, 66, 67, 69, 70, 71, 72, 74, 75, 76, 77, 79, 80, 81, 82, 83, 84, 86, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 100, 2, 3, 5, 6, 7, 9, 11, 12, 13, 15, 16, 17, 18, 19, 20, 21, 23, 24, 25, 26, 27, 28, 29, 30, 32, 34, 35, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 49, 51, 52, 53, 55, 56, 58, 59, 60, 62, 63, 64, 66, 67, 68, 70, 71, 72, 73, 74, 75, 76, 78, 79, 80, 81, 82, 83, 84, 85, 86, 89, 91, 92, 94, 95, 96, 97, 98, 99, 100, 1, 2, 3, 5, 6, 7, 8, 9, 10, 12, 13, 15, 16, 17, 18, 20, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 33, 34, 35, 36, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 51, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 64, 65, 68, 70, 74, 75, 77, 78, 79, 80, 82, 83, 84, 85, 86, 88, 89, 91, 92, 93, 94, 95, 96, 97, 98, 1, 2, 3, 5, 6, 8, 9, 11, 12, 13, 14, 16, 17, 18, 20, 21, 24, 25, 26, 27, 28, 31, 32, 33, 34, 36, 37, 38, 41, 42, 43, 44, 45, 46, 47, 48, 51, 52, 53, 54, 55, 56, 57, 59, 60, 61, 62, 63, 65, 67, 68, 69, 70, 72, 73, 75, 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36, 38, 39, 41, 42, 43, 44, 46, 47, 49, 50, 52, 53, 54, 55, 56, 57, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 82, 83, 85, 87, 88, 89, 90, 91, 92, 93, 94, 96, 98, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 26, 27, 29, 30, 32, 33, 34, 35, 36, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 51, 53, 54, 56, 57, 58, 59, 60, 61, 63, 64, 65, 66, 68, 69, 70, 71, 73, 74, 75, 77, 82, 83, 84, 86, 87, 89, 91, 93, 94, 99, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 15, 16, 18, 19, 20, 22, 23, 24, 25, 26, 27, 28, 30, 31, 37, 38, 40, 41, 42, 43, 44, 46, 47, 49, 50, 53, 54, 55, 56, 57, 58, 59, 61, 62, 63, 64, 65, 66, 68, 69, 70, 71, 72, 74, 75, 76, 77, 78, 81, 84, 85, 87, 88, 89, 90, 94, 95, 96, 97, 98, 99, 100, 1, 2, 3, 4, 7, 9, 10, 12, 13, 14, 15, 17, 19, 21, 22, 23, 24, 25, 27, 28, 29, 30, 31, 34, 35, 36, 38, 39, 40, 41, 42, 43, 44, 48, 49, 50, 52, 54, 55, 56, 58, 59, 60, 62, 63, 64, 65, 66, 67, 68, 69, 70, 72, 73, 74, 75, 77, 78, 79, 80, 81, 82, 84, 87, 88, 89, 90, 91, 92, 93, 94, 96, 97, 99, 100, 1, 2, 3, 4, 6, 7, 10, 11, 12, 13, 14, 15, 16, 18, 19, 20, 21, 22, 23, 24, 26, 27, 28, 29, 30, 31, 34, 35, 36, 38, 39, 40, 41, 42, 43, 45, 47, 50, 52, 53, 55, 56, 59, 60, 61, 62, 63, 64, 65, 68, 70, 71, 72, 74, 76, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 1, 2, 3, 4, 6, 7, 9, 10, 11, 12, 13, 14, 15, 17, 18, 19, 21, 22, 23, 24, 25, 27, 28, 29, 30, 31, 33, 36, 37, 38, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 58, 59, 60, 61, 62, 63, 65, 66, 68, 70, 71, 72, 73, 74, 75, 78, 79, 80, 81, 82, 83, 85, 86, 87, 88, 92, 93, 94, 96, 97, 98, 99, 100, 1, 2, 4, 6, 7, 8, 9, 14, 15, 16, 17, 20, 21, 22, 24, 25, 26, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 45, 46, 48, 49, 52, 54, 56, 58, 59, 60, 62, 64, 65, 69, 70, 71, 72, 73, 75, 78, 79, 81, 83, 84, 85, 89, 91, 95, 96, 97, 99, 2, 4, 5, 6, 8, 9, 11, 12, 13, 14, 16, 17, 20, 21, 22, 23, 25, 26, 27, 28, 29, 30, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 55, 56, 57, 58, 60, 61, 62, 65, 66, 67, 68, 70, 72, 73, 74, 75, 77, 78, 80, 81, 83, 84, 85, 87, 88, 89, 90, 91, 92, 93, 97, 98, 99, 100, 1, 4, 5, 6, 7, 10, 11, 13, 15, 20, 21, 23, 24, 25, 26, 28, 29, 30, 31, 33, 34, 35, 36, 37, 38, 39, 41, 42, 44, 45, 46, 47, 49, 50, 52, 53, 54, 56, 57, 58, 59, 60, 61, 63, 65, 66, 67, 68, 69, 70, 72, 73, 74, 75, 76, 77, 78, 79, 80, 82, 84, 85, 87, 88, 89, 92, 93, 94, 95, 96, 97, 98, 99, 1, 2, 5, 6, 7, 8, 9, 10, 11, 12, 13, 17, 18, 19, 20, 22, 23, 26, 29, 32, 33, 34, 35, 36, 37, 39, 40, 41, 43, 44, 46, 47, 50, 51, 52, 53, 56, 57, 58, 59, 60, 61, 63, 65, 67, 68, 69, 71, 72, 73, 74, 75, 77, 78, 79, 81, 82, 83, 84, 85, 86, 87, 89, 90, 93, 94, 96, 97, 99, 100, 1, 2, 3, 4, 5, 6, 8, 10, 11, 13, 14, 15, 17, 18, 19, 20, 21, 23, 24, 26, 27, 29, 31, 33, 35, 36, 38, 39, 40, 41, 43, 46, 47, 48, 50, 51, 54, 55, 56, 57, 58, 59, 60, 61, 62, 64, 65, 66, 67, 68, 69, 70, 71, 72, 74, 75, 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59, 61, 62, 63, 64, 65, 68, 70, 71, 72, 75, 76, 79, 81, 82, 83, 85, 86, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 1, 3, 4, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 20, 21, 22, 23, 24, 25, 26, 27, 29, 30, 31, 32, 36, 37, 38, 39, 41, 42, 43, 45, 46, 48, 49, 51, 53, 54, 55, 56, 57, 58, 61, 63, 66, 68, 69, 70, 72, 73, 75, 76, 77, 78, 79, 82, 83, 84, 85, 86, 87, 89, 91, 93, 94, 95, 97, 98, 99, 1, 2, 3, 5, 6, 7, 8, 9, 11, 12, 13, 14, 16, 17, 19, 20, 21, 22, 23, 25, 26, 27, 29, 31, 33, 34, 35, 36, 37, 40, 41, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 54, 55, 57, 58, 59, 60, 61, 65, 66, 67, 68, 70, 71, 72, 73, 74, 75, 77, 78, 80, 81, 82, 83, 84, 85, 87, 88, 89, 91, 92, 93, 94, 95, 96, 98, 100, 1, 2, 3, 5, 6, 8, 10, 11, 12, 13, 14, 15, 16, 17, 18, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 33, 35, 37, 41, 42, 43, 44, 45, 46, 47, 49, 51, 52, 53, 54, 55, 56, 57, 58, 59, 61, 62, 63, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 78, 79, 81, 82, 85, 86, 88, 90, 92, 93, 95, 96, 98, 99, 100, 2, 3, 4, 6, 7, 8, 9, 10, 12, 13, 14, 16, 18, 19, 20, 21, 23, 24, 25, 28, 29, 30, 31, 32, 33, 34, 35, 36, 38, 39, 41, 42, 43, 44, 46, 47, 48, 51, 52, 53, 56, 57, 58, 59, 61, 62, 63, 64, 65, 66, 68, 69, 70, 73, 74, 75, 77, 79, 81, 82, 83, 85, 86, 87, 88, 92, 93, 94, 95, 96, 97, 98, 100, 1, 3, 4, 5, 6, 7, 8, 10, 11, 12, 13, 14, 17, 18, 19, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 33, 36, 38, 39, 40, 41, 44, 45, 46, 47, 48, 49, 50, 51, 53, 54, 55, 57, 59, 60, 61, 62, 63, 69, 71, 72, 73, 74, 75, 76, 77, 79, 80, 81, 82, 83, 85, 86, 87, 88, 89, 91, 92, 93, 95, 98, 1, 2, 4, 5, 6, 7, 8, 9, 10, 11, 13, 14, 15, 16, 17, 19, 21, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 34, 35, 37, 39, 40, 41, 43, 44, 47, 48, 49, 50, 51, 52, 54, 55, 56, 57, 58, 60, 61, 63, 64, 66, 67, 69, 70, 71, 74, 75, 76, 77, 79, 80, 81, 83, 84, 85, 86, 88, 90, 91, 92, 93, 94, 97, 98, 99, 1, 2, 3, 5, 6, 7, 8, 10, 11, 12, 13, 14, 15, 16, 18, 19, 20, 21, 22, 23, 24, 25, 28, 30, 32, 33, 34, 35, 37, 38, 40, 41, 42, 43, 44, 45, 48, 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84, 85, 86, 87, 89, 90, 92, 93, 94, 95, 96, 97, 98, 99, 1, 3, 4, 5, 8, 9, 10, 11, 12, 14, 15, 16, 17, 18, 19, 20, 22, 23, 24, 25, 27, 28, 30, 31, 32, 34, 35, 36, 38, 39, 40, 41, 42, 45, 46, 48, 49, 50, 54, 55, 56, 57, 58, 61, 62, 63, 64, 66, 67, 68, 69, 70, 71, 72, 73, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 91, 92, 93, 95, 97, 99, 100, 1, 2, 3, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 62, 63, 64, 65, 67, 68, 69, 70, 72, 74, 75, 77, 78, 79, 80, 82, 83, 84, 85, 86, 87, 89, 90, 91, 93, 95, 97, 98, 99, 100, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 14, 15, 16, 18, 19, 20, 21, 22, 24, 25, 27, 28, 29, 31, 32, 33, 34, 35, 37, 38, 39, 40, 41, 43, 44, 46, 47, 48, 49, 53, 54, 55, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 71, 72, 73, 74, 75, 76, 77, 79, 80, 81, 82, 84, 85, 87, 89, 90, 91, 94, 95, 96, 97, 98, 99, 100, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 17, 18, 19, 21, 22, 23, 24, 25, 26, 28, 29, 30, 31, 33, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 49, 50, 52, 53, 54, 55, 56, 57, 59, 60, 61, 63, 64, 65, 66, 68, 69, 72, 74, 75, 77, 78, 79, 81, 82, 83, 86, 87, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 1, 2, 3, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 20, 21, 22, 26, 27, 28, 29, 30, 31, 32, 34, 37, 38, 39, 40, 42, 43, 44, 45, 46, 47, 49, 50, 51, 52, 53, 54, 56, 57, 62, 63, 64, 66, 67, 68, 69, 70, 71, 73, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 90, 91, 93, 94, 96, 97, 98, 99, 1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 17, 19, 20, 24, 25, 26, 27, 28, 29, 30, 34, 35, 36, 37, 38, 40, 42, 44, 45, 46, 47, 48, 49, 50, 51, 52, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 72, 73, 74, 75, 76, 77, 80, 82, 83, 85, 86, 87, 88, 89, 92, 93, 94, 95, 96, 97, 99, 100, 1, 2, 3, 4, 5, 6, 8, 10, 11, 13, 14, 15, 17, 18, 19, 20, 21, 22, 23, 24, 25, 27, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 46, 47, 48, 50, 51, 52, 53, 54, 55, 57, 58, 59, 60, 61, 62, 63, 64, 66, 68, 69, 72, 73, 79, 80, 81, 82, 83, 85, 86, 87, 88, 89, 90, 91, 93, 94, 95, 96, 97, 98, 99, 100, 1, 2, 3, 4, 5, 7, 9, 10, 11, 12, 13, 14, 15, 16, 18, 19, 20, 21, 22, 24, 25, 26, 27, 28, 30, 31, 32, 33, 34, 35, 36, 37, 39, 40, 41, 42, 43, 44, 46, 47, 48, 49, 50, 51, 52, 53, 55, 57, 58, 59, 60, 61, 63, 64, 65, 67, 68, 69, 70, 71, 73, 74, 76, 78, 79, 80, 82, 84, 85, 86, 88, 89, 90, 92, 93, 94, 95, 96, 98, 99, 100, 1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 13, 14, 15, 16, 18, 19, 21, 22, 23, 25, 27, 28, 29, 30, 31, 34, 35, 36, 37, 38, 41, 42, 43, 44, 46, 48, 49, 50, 51, 53, 54, 55, 56, 57, 58, 59, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 73, 74, 75, 76, 77, 78, 79, 81, 82, 84, 85, 87, 88, 89, 90, 91, 92, 93, 94, 95, 97, 98, 99, 100, 2, 3, 5, 6, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 25, 27, 28, 29, 31, 32, 33, 34, 35, 37, 38, 39, 40, 41, 42, 43, 46, 47, 48, 49, 50, 52, 53, 54, 55, 56, 57, 59, 60, 61, 62, 63, 64, 66, 67, 68, 69, 70, 71, 74, 75, 78, 79, 80, 82, 83, 85, 86, 87, 88, 91, 92, 93, 94, 96, 97, 98, 100, 1, 2, 5, 6, 7, 8, 10, 11, 12, 13, 16, 17, 19, 21, 22, 23, 25, 26, 27, 28, 31, 32, 33, 35, 36, 39, 40, 42, 43, 44, 45, 46, 47, 50, 51, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 65, 66, 69, 70, 71, 72, 74, 75, 76, 77, 78, 79, 81, 82, 83, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 13, 14, 15, 17, 18, 19, 22, 23, 24, 25, 26, 28, 29, 31, 32, 33, 34, 35, 37, 38, 41, 43, 44, 45, 46, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 62, 64, 67, 68, 69, 70, 71, 73, 74, 76, 78, 81, 82, 83, 84, 87, 88, 89, 91, 92, 93, 94, 95, 96, 98, 99, 100, 2, 3, 4, 5, 6, 7, 8, 10, 11, 12, 14, 15, 16, 17, 18, 20, 21, 22, 24, 26, 27, 28, 29, 31, 32, 33, 34, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 49, 50, 51, 52, 54, 55, 56, 57, 58, 59, 60, 62, 64, 65, 66, 67, 68, 69, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 89, 90, 91, 92, 93, 95, 98, 99, 100, 2, 3, 4, 5, 7, 9, 10, 11, 12, 13, 16, 17, 18, 19, 21, 23, 24, 25, 26, 27, 28, 31, 32, 33, 34, 35, 38, 39, 41, 42, 43, 44, 47, 48, 49, 50, 51, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 65, 66, 67, 68, 69, 70, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 88, 89, 92, 93, 95, 96, 97, 98, 100, 2, 3, 5, 6, 8, 9, 10, 12, 13, 14, 16, 17, 19, 20, 21, 22, 24, 25, 27, 29, 30, 31, 35, 37, 38, 39, 40, 41, 42, 44, 45, 46, 47, 48, 49, 50, 52, 53, 54, 55, 56, 57, 59, 60, 61, 64, 65, 66, 68, 69, 70, 71, 72, 73, 74, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 89, 90, 91, 92, 93, 94, 95, 98, 99, 100, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27, 28, 30, 31, 32, 34, 35, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 65, 67, 68, 69, 70, 71, 73, 74, 75, 76, 77, 79, 80, 81, 82, 83, 85, 87, 88, 90, 91, 92, 93, 94, 97, 98, 1, 2, 3, 4, 5, 6, 11, 13, 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66, 68, 69, 70, 72, 73, 74, 75, 76, 77, 78, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 94, 95, 97, 99, 100, 2, 3, 4, 5, 6, 7, 8, 10, 11, 13, 15, 16, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 30, 31, 32, 33, 34, 35, 36, 37, 40, 42, 43, 45, 46, 47, 49, 50, 51, 52, 53, 54, 55, 57, 58, 61, 62, 64, 65, 68, 69, 71, 72, 73, 74, 77, 78, 81, 82, 83, 84, 85, 87, 88, 90, 92, 93, 95, 96, 97, 98, 99, 100, 1, 2, 4, 5, 6, 8, 9, 10, 12, 13, 14, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 28, 29, 30, 32, 33, 34, 36, 38, 39, 40, 42, 43, 45, 46, 47, 48, 49, 50, 51, 56, 57, 58, 60, 61, 62, 64, 65, 67, 68, 69, 70, 71, 72, 73, 74, 75, 77, 79, 80, 81, 82, 83, 84, 85, 86, 89, 90, 91, 92, 93, 94, 95, 99, 100, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 14, 15, 18, 19, 20, 21, 22, 23, 24, 25, 26, 28, 29, 31, 33, 34, 35, 36, 39, 41, 43, 44, 45, 47, 49, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 73, 78, 79, 80, 81, 82, 83, 84, 85, 87, 88, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 2, 4, 5, 6, 7, 8, 9, 12, 15, 16, 17, 18, 20, 22, 23, 25, 26, 27, 28, 29, 30, 31, 32, 33, 36, 37, 39, 40, 42, 43, 44, 45, 46, 47, 48, 50, 52, 53, 55, 56, 57, 58, 60, 61, 64, 65, 69, 70, 71, 72, 73, 74, 76, 78, 79, 81, 82, 83, 84, 85, 86, 88, 89, 90, 92, 93, 94, 95, 97, 98, 99, 1, 2, 4, 5, 7, 10, 12, 13, 14, 15, 16, 17, 20, 21, 23, 24, 25, 26, 29, 30, 31, 32, 33, 34, 35, 36, 37, 39, 40, 42, 43, 45, 46, 47, 48, 49, 50, 51, 53, 54, 55, 56, 60, 61, 62, 63, 65, 67, 68, 70, 71, 72, 73, 74, 75, 76, 78, 79, 80, 81, 83, 84, 86, 88, 90, 91, 93, 95, 96, 97, 98, 99, 100, 1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 13, 14, 15, 16, 17, 18, 20, 21, 22, 23, 24, 25, 26, 28, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 42, 43, 44, 45, 46, 47, 48, 52, 58, 59, 60, 61, 62, 63, 64, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 77, 78, 79, 80, 83, 85, 86, 88, 91, 92, 95, 96, 97, 98, 100, 3, 4, 5, 6, 7, 9, 11, 12, 15, 16, 17, 18, 19, 20, 21, 22, 24, 25, 26, 27, 28, 29, 32, 33, 34, 35, 36, 37, 38, 39, 40, 42, 43, 45, 46, 47, 48, 51, 52, 53, 54, 55, 56, 58, 59, 60, 61, 62, 63, 64, 65, 66, 70, 71, 72, 73, 75, 77, 78, 80, 82, 83, 84, 85, 86, 88, 89, 90, 91, 92, 94, 95, 96, 97, 98, 99, 100, 1, 2, 4, 7, 9, 10, 11, 12, 13, 14, 15, 16, 18, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 34, 35, 36, 38, 39, 40, 41, 42, 43, 45, 47, 48, 50, 51, 52, 53, 54, 55, 58, 59, 62, 63, 64, 65, 66, 69, 71, 72, 73, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 92, 93, 94, 95, 96, 97, 98, 99, 100, 1, 3, 5, 7, 8, 10, 11, 12, 14, 15, 16, 17, 18, 19, 22, 24, 25, 26, 28, 31, 32, 34, 36, 37, 39, 40, 41, 42, 44, 46, 47, 48, 50, 51, 53, 54, 55, 56, 57, 58, 59, 60, 62, 63, 65, 66, 69, 70, 71, 72, 73, 75, 77, 78, 79, 81, 82, 83, 85, 86, 87, 88, 89, 91, 93, 94, 95, 96, 97, 99, 100, 2, 3, 4, 5, 6, 7, 8, 11, 12, 13, 14, 15, 20, 21, 22, 23, 25, 27, 28, 29, 30, 31, 32, 36, 37, 38, 40, 41, 43, 44, 45, 48, 49, 50, 51, 52, 54, 55, 56, 58, 59, 60, 62, 63, 64, 65, 66, 68, 69, 71, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 87, 88, 89, 91, 93, 94, 96, 97, 98, 99, 100, 1, 2, 3, 4, 5, 6, 7, 8, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 22, 23, 24, 26, 27, 29, 31, 32, 33, 36, 37, 39, 40, 41, 42, 44, 45, 47, 49, 50, 51, 52, 53, 55, 56, 57, 59, 60, 61, 62, 63, 65, 66, 68, 69, 72, 73, 75, 76, 78, 79, 80, 81, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 99, 100, 2, 4, 5, 6, 9, 10, 11, 13, 14, 15, 16, 17, 18, 19, 21, 23, 27, 28, 30, 32, 33, 35, 36, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 53, 54, 55, 56, 58, 59, 60, 61, 62, 63, 64, 65, 69, 70, 72, 73, 74, 75, 76, 77, 80, 81, 82, 83, 84, 85, 87, 88, 89, 90, 92, 94, 95, 97, 98, 99, 100, 1, 3, 4, 5, 9, 10, 11, 13, 14, 16, 20, 21, 22, 27, 28, 29, 31, 32, 34, 35, 38, 39, 40, 42, 43, 44, 45, 46, 47, 48, 50, 52, 53, 54, 56, 57, 60, 61, 62, 63, 64, 65, 67, 68, 69, 70, 71, 73, 75, 76, 77, 78, 79, 80, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 94, 95, 97, 98, 100, 1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 19, 21, 22, 23, 24, 25, 27, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 51, 52, 53, 54, 55, 56, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 73, 74, 75, 76, 78, 81, 82, 83, 84, 86, 87, 88, 90, 92, 93, 94, 96, 98, 100, 3, 4, 6, 7, 8, 10, 11, 13, 14, 15, 17, 18, 21, 22, 23, 24, 26, 27, 28, 29, 30, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 44, 47, 48, 49, 50, 53, 54, 55, 56, 58, 59, 60, 61, 62, 63, 64, 66, 67, 68, 70, 71, 72, 73, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 88, 89, 91, 92, 93, 94, 96, 98, 100, 1, 2, 3, 4, 6, 7, 8, 9, 11, 12, 15, 17, 19, 20, 22, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 48, 49, 50, 51, 53, 54, 58, 60, 62, 63, 64, 65, 66, 67, 69, 71, 73, 75, 76, 77, 79, 80, 81, 83, 84, 85, 88, 90, 91, 92, 93, 94, 95, 96, 97, 99, 100, 1, 2, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 20, 21, 22, 23, 24, 25, 27, 28, 29, 31, 33, 34, 36, 38, 39, 40, 41, 42, 43, 44, 45, 46, 48, 49, 51, 52, 54, 55, 57, 58, 59, 60, 61, 62, 63, 65, 66, 69, 70, 71, 74, 75, 76, 77, 78, 79, 80, 83, 84, 85, 86, 87, 91, 92, 94, 95, 97, 98, 99, 2, 4, 5, 7, 10, 11, 13, 15, 16, 17, 18, 19, 21, 22, 23, 26, 27, 30, 31, 33, 34, 36, 37, 38, 39, 41, 43, 45, 47, 49, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 63, 64, 65, 66, 67, 68, 69, 71, 72, 73, 75, 76, 77, 78, 79, 80, 81, 82, 83, 86, 87, 88, 90, 92, 93, 94, 95, 97, 98, 99, 100, 1, 2, 4, 6, 7, 8, 9, 10, 11, 12, 15, 16, 17, 19, 21, 22, 25, 26, 27, 28, 29, 31, 34, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 49, 50, 51, 52, 53, 54, 57, 58, 61, 62, 63, 66, 67, 68, 69, 70, 72, 73, 74, 75, 76, 77, 78, 79, 80, 82, 84, 85, 86, 87, 89, 90, 91, 94, 95, 96, 97, 98, 100, 1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 15, 16, 17, 20, 21, 22, 23, 28, 29, 30, 32, 34, 36, 38, 40, 41, 42, 43, 44, 46, 47, 48, 49, 51, 52, 53, 54, 55, 56, 57, 58, 60, 61, 64, 65, 66, 67, 69, 70, 71, 72, 73, 74, 75, 76, 77, 79, 81, 82, 83, 84, 85, 86, 87, 88, 89, 91, 92, 94, 95, 97, 98, 99, 100, 1, 3, 4, 5, 6, 7, 9, 14, 16, 17, 18, 19, 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b/misc/irt/irt2_multilevel.data.json new file mode 100644 index 00000000..199a0f3b --- /dev/null +++ b/misc/irt/irt2_multilevel.data.json @@ -0,0 +1,8 @@ +{ + "jj": [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 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3, 4, 5, 6, 7, 8, 10, 12, 14, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 30, 31, 33, 35, 37, 38, 40, 41, 42, 43, 44, 45, 46, 47, 50, 53, 54, 55, 57, 59, 60, 61, 62, 64, 67, 68, 70, 72, 73, 74, 76, 77, 78, 79, 80, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 95, 96, 97, 98, 99, 100, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15, 17, 19, 20, 22, 23, 24, 25, 26, 27, 28, 29, 30, 32, 34, 35, 36, 37, 38, 39, 40, 42, 43, 44, 45, 48, 50, 51, 53, 54, 55, 56, 60, 61, 62, 63, 64, 65, 66, 67, 69, 71, 72, 73, 74, 76, 77, 78, 79, 80, 81, 83, 84, 85, 86, 87, 88, 89, 90, 91, 93, 95, 96, 98, 99, 100, 1, 3, 4, 5, 6, 10, 11, 12, 15, 16, 17, 19, 21, 22, 24, 25, 26, 27, 30, 31, 32, 35, 36, 37, 38, 39, 40, 42, 43, 45, 46, 47, 50, 52, 53, 54, 55, 57, 60, 62, 65, 66, 68, 70, 72, 75, 76, 77, 79, 80, 82, 83, 84, 86, 87, 89, 90, 91, 92, 93, 94, 95, 97, 98, 99, 100, 1, 2, 4, 5, 6, 7, 10, 11, 12, 13, 14, 15, 16, 17, 19, 20, 21, 22, 23, 24, 25, 26, 28, 29, 30, 31, 33, 34, 35, 36, 37, 38, 42, 43, 44, 45, 46, 48, 51, 52, 56, 57, 60, 61, 62, 63, 64, 66, 67, 68, 71, 72, 73, 74, 75, 76, 78, 80, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 97, 99, 100, 3, 4, 6, 8, 9, 12, 13, 14, 15, 17, 18, 19, 21, 22, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 37, 38, 39, 42, 45, 46, 47, 49, 50, 52, 53, 54, 55, 59, 60, 61, 63, 64, 65, 66, 67, 68, 69, 71, 72, 73, 74, 77, 78, 79, 80, 81, 84, 85, 86, 87, 88, 89, 90, 91, 93, 94, 95, 96, 97, 98, 99, 100, 2, 3, 6, 7, 10, 12, 14, 15, 17, 18, 19, 20, 21, 23, 24, 25, 26, 28, 30, 31, 32, 33, 34, 35, 36, 38, 39, 40, 42, 43, 44, 45, 46, 47, 49, 50, 51, 52, 53, 54, 56, 57, 58, 60, 61, 62, 63, 64, 66, 67, 68, 69, 70, 72, 77, 78, 79, 81, 82, 83, 87, 89, 92, 93, 95, 97, 98, 99, 100, 1, 2, 4, 6, 7, 8, 10, 12, 13, 15, 16, 17, 19, 21, 22, 24, 25, 26, 28, 29, 30, 32, 33, 34, 35, 37, 40, 41, 42, 43, 45, 46, 48, 49, 50, 52, 53, 54, 55, 56, 58, 60, 61, 63, 65, 68, 69, 70, 72, 73, 74, 76, 77, 78, 81, 82, 83, 84, 85, 86, 88, 89, 90, 92, 93, 94, 95, 96, 97, 98, 99, 100, 2, 3, 4, 6, 7, 8, 9, 10, 11, 12, 13, 15, 16, 17, 19, 20, 21, 22, 24, 25, 26, 27, 28, 29, 33, 35, 38, 39, 40, 41, 42, 44, 46, 47, 48, 49, 50, 51, 52, 53, 55, 56, 57, 58, 59, 60, 62, 63, 64, 65, 66, 68, 71, 73, 77, 78, 79, 81, 82, 85, 86, 88, 89, 90, 91, 93, 94, 95, 98, 99, 100, 2, 3, 4, 5, 6, 7, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 33, 35, 36, 37, 38, 39, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 54, 55, 56, 57, 58, 59, 60, 62, 63, 65, 66, 67, 68, 69, 71, 72, 73, 74, 76, 78, 80, 81, 82, 83, 84, 85, 86, 87, 90, 91, 92, 94, 95, 96, 97, 98, 100, 1, 2, 3, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 20, 21, 22, 23, 25, 26, 27, 28, 30, 31, 32, 33, 35, 36, 37, 41, 42, 45, 46, 47, 49, 50, 52, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 67, 68, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 82, 83, 85, 86, 87, 88, 89, 90, 91, 93, 94, 95, 96, 97, 98, 99, 100, 1, 3, 4, 5, 7, 10, 12, 13, 14, 15, 18, 19, 21, 22, 24, 25, 26, 27, 28, 29, 30, 33, 34, 36, 37, 38, 39, 40, 42, 43, 44, 45, 46, 48, 49, 50, 51, 52, 53, 54, 57, 58, 59, 62, 63, 64, 65, 66, 67, 69, 70, 71, 73, 74, 75, 76, 77, 78, 79, 81, 82, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 97, 98, 100, 1, 2, 3, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 19, 20, 22, 23, 24, 26, 29, 30, 31, 32, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 45, 48, 50, 51, 52, 53, 55, 57, 58, 59, 60, 62, 63, 64, 65, 66, 67, 68, 70, 73, 75, 77, 78, 80, 82, 83, 84, 85, 87, 88, 90, 91, 95, 96, 97, 99, 100, 1, 2, 3, 4, 5, 8, 9, 10, 11, 14, 15, 16, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 51, 52, 54, 55, 56, 58, 59, 60, 61, 62, 63, 64, 65, 66, 70, 71, 73, 74, 75, 76, 77, 78, 79, 80, 81, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 95, 97, 98, 99, 100, 2, 3, 4, 5, 6, 7, 9, 10, 11, 14, 15, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 29, 31, 33, 34, 35, 36, 37, 39, 40, 41, 43, 44, 49, 50, 51, 55, 56, 57, 60, 61, 64, 65, 66, 67, 68, 69, 70, 72, 75, 76, 77, 78, 79, 80, 82, 83, 84, 85, 86, 87, 88, 91, 93, 94, 96, 97, 98, 99, 100, 1, 2, 3, 4, 5, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 22, 25, 26, 27, 28, 29, 30, 32, 33, 35, 36, 38, 39, 41, 42, 43, 45, 46, 47, 48, 49, 51, 54, 55, 57, 58, 60, 61, 62, 63, 64, 66, 67, 69, 70, 71, 73, 74, 75, 76, 77, 78, 79, 80, 83, 84, 85, 88, 89, 92, 93, 94, 95, 96, 98, 99, 100, 1, 2, 3, 4, 5, 6, 7, 8, 10, 11, 12, 13, 14, 16, 18, 19, 21, 22, 23, 24, 25, 26, 28, 29, 31, 32, 33, 34, 35, 36, 37, 38, 39, 42, 43, 44, 45, 46, 47, 48, 51, 52, 53, 55, 56, 57, 58, 59, 60, 61, 62, 63, 65, 66, 68, 69, 70, 72, 73, 74, 75, 76, 78, 79, 80, 81, 82, 83, 84, 85, 86, 88, 89, 90, 91, 92, 94, 95, 96, 97, 100, 1, 2, 4, 5, 6, 7, 9, 10, 11, 14, 16, 17, 19, 20, 21, 22, 23, 24, 25, 27, 28, 29, 30, 31, 33, 34, 37, 38, 39, 40, 41, 43, 44, 45, 46, 47, 48, 50, 51, 55, 56, 59, 61, 62, 63, 64, 65, 66, 67, 68, 69, 71, 72, 73, 76, 77, 78, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 1, 2, 3, 6, 7, 9, 11, 12, 13, 14, 16, 18, 20, 21, 22, 25, 28, 30, 31, 33, 35, 38, 41, 42, 48, 49, 50, 51, 52, 54, 55, 58, 59, 61, 62, 64, 65, 66, 68, 69, 71, 74, 76, 77, 78, 79, 80, 82, 83, 85, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 3, 4, 6, 7, 8, 9, 10, 11, 12, 14, 16, 17, 18, 19, 20, 21, 22, 23, 25, 28, 29, 30, 32, 33, 34, 35, 36, 37, 38, 40, 41, 42, 43, 45, 46, 47, 48, 49, 50, 51, 52, 53, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 69, 70, 73, 74, 76, 77, 78, 79, 80, 82, 83, 84, 85, 86, 89, 90, 92, 93, 94, 96, 97, 98, 100, 1, 2, 3, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 45, 46, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 75, 76, 77, 79, 80, 81, 82, 83, 84, 85, 88, 90, 92, 93, 95, 96, 98, 99, 100, 1, 3, 4, 5, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 21, 22, 23, 24, 25, 27, 28, 29, 30, 33, 36, 37, 38, 40, 41, 42, 43, 44, 45, 47, 48, 51, 52, 56, 57, 58, 59, 61, 62, 63, 64, 65, 66, 67, 70, 71, 72, 74, 76, 77, 78, 80, 81, 83, 84, 85, 86, 87, 88, 89, 90, 91, 93, 94, 95, 96, 97, 98, 100, 1, 2, 3, 4, 5, 6, 7, 8, 10, 11, 13, 14, 15, 16, 17, 19, 21, 22, 25, 26, 27, 28, 29, 30, 31, 35, 36, 37, 39, 40, 41, 43, 44, 45, 48, 49, 50, 51, 53, 54, 55, 56, 58, 59, 63, 65, 66, 67, 68, 69, 70, 71, 72, 73, 75, 77, 78, 79, 80, 81, 83, 84, 85, 86, 87, 88, 92, 93, 95, 96, 98, 99, 100, 1, 7, 8, 9, 10, 12, 13, 15, 16, 17, 18, 19, 20, 22, 24, 25, 26, 27, 29, 32, 33, 34, 35, 36, 38, 40, 41, 42, 43, 44, 48, 49, 50, 51, 52, 53, 56, 57, 58, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 71, 72, 73, 74, 76, 79, 80, 81, 82, 87, 89, 91, 92, 93, 94, 95, 97, 98, 100, 1, 6, 7, 9, 10, 12, 13, 14, 16, 18, 19, 20, 23, 24, 25, 26, 27, 28, 30, 31, 33, 34, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 51, 52, 53, 55, 56, 58, 59, 60, 61, 62, 64, 65, 66, 67, 68, 71, 74, 75, 76, 77, 80, 81, 82, 83, 84, 85, 86, 87, 89, 90, 91, 95, 1, 2, 3, 4, 5, 7, 8, 9, 10, 12, 13, 14, 15, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 50, 52, 54, 55, 57, 58, 61, 62, 64, 65, 67, 68, 71, 72, 73, 75, 78, 79, 80, 81, 83, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 3, 4, 5, 6, 7, 11, 12, 13, 14, 16, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 31, 32, 33, 34, 36, 37, 39, 40, 42, 43, 44, 46, 47, 48, 49, 50, 51, 52, 54, 55, 56, 57, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 71, 72, 73, 75, 76, 77, 78, 79, 81, 82, 83, 84, 85, 87, 88, 90, 91, 92, 94, 95, 98, 99, 100, 1, 2, 3, 5, 6, 8, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 27, 28, 29, 30, 31, 32, 35, 37, 38, 39, 40, 42, 43, 44, 47, 50, 52, 54, 55, 56, 57, 61, 62, 63, 64, 66, 72, 73, 74, 76, 77, 78, 80, 81, 82, 84, 86, 88, 89, 90, 92, 93, 94, 95, 96, 97, 98, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 14, 15, 17, 18, 19, 20, 21, 22, 23, 25, 26, 27, 28, 30, 31, 32, 34, 35, 36, 37, 38, 39, 41, 42, 43, 45, 46, 47, 48, 49, 50, 51, 53, 54, 57, 58, 59, 61, 62, 63, 64, 65, 66, 67, 68, 70, 71, 72, 73, 76, 77, 78, 79, 80, 82, 83, 84, 85, 87, 89, 90, 91, 92, 93, 95, 97, 98, 100, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 28, 30, 31, 32, 33, 34, 36, 37, 38, 39, 40, 42, 43, 45, 47, 48, 49, 50, 51, 52, 55, 56, 58, 59, 60, 61, 62, 63, 64, 67, 69, 70, 71, 73, 74, 75, 76, 78, 79, 81, 82, 83, 84, 85, 86, 89, 90, 91, 92, 93, 94, 99, 100, 1, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 16, 17, 18, 19, 21, 22, 23, 25, 26, 30, 31, 32, 33, 34, 36, 37, 38, 39, 41, 43, 44, 46, 47, 48, 49, 50, 51, 52, 54, 55, 57, 58, 59, 61, 62, 63, 64, 65, 67, 68, 69, 71, 72, 73, 74, 76, 77, 82, 83, 84, 86, 90, 91, 92, 93, 94, 95, 96, 97, 99, 100, 1, 5, 6, 7, 8, 9, 10, 13, 14, 15, 16, 18, 19, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 39, 40, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 53, 54, 56, 57, 58, 60, 61, 62, 64, 65, 66, 67, 68, 69, 73, 74, 75, 76, 77, 78, 80, 81, 83, 84, 85, 86, 88, 89, 90, 91, 92, 93, 94, 95, 97, 98, 99, 100, 2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 33, 35, 36, 37, 40, 43, 45, 46, 50, 51, 53, 54, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 74, 79, 80, 81, 82, 85, 86, 89, 91, 92, 94, 96, 98, 99, 100, 1, 2, 3, 4, 5, 6, 7, 8, 10, 11, 12, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 28, 29, 30, 33, 35, 36, 37, 39, 41, 43, 44, 45, 47, 49, 50, 52, 54, 55, 57, 58, 59, 60, 61, 62, 64, 66, 67, 69, 71, 72, 73, 74, 76, 77, 78, 79, 81, 84, 87, 88, 89, 90, 91, 92, 93, 94, 96, 97, 98, 100, 1, 2, 3, 4, 5, 6, 7, 8, 10, 11, 12, 13, 14, 15, 16, 17, 19, 20, 22, 25, 26, 27, 28, 29, 30, 32, 33, 34, 35, 37, 38, 40, 41, 43, 46, 47, 48, 49, 50, 51, 52, 53, 55, 56, 57, 58, 61, 62, 63, 64, 65, 67, 68, 70, 71, 72, 73, 74, 76, 77, 79, 80, 82, 84, 87, 88, 89, 90, 91, 92, 93, 94, 95, 97, 98, 99, 2, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 32, 33, 34, 35, 36, 37, 38, 39, 41, 43, 44, 45, 46, 47, 49, 50, 51, 52, 53, 55, 56, 57, 58, 59, 60, 61, 62, 64, 65, 66, 67, 69, 70, 72, 73, 74, 75, 76, 77, 78, 79, 80, 82, 83, 86, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 1, 3, 5, 7, 8, 9, 10, 11, 13, 14, 15, 16, 17, 18, 19, 20, 21, 23, 24, 26, 27, 28, 29, 30, 31, 34, 35, 38, 39, 41, 42, 43, 44, 45, 46, 47, 48, 49, 51, 52, 53, 54, 58, 59, 60, 62, 63, 64, 65, 66, 67, 69, 70, 71, 72, 73, 74, 76, 77, 79, 80, 81, 82, 83, 85, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 100, 1, 2, 3, 5, 7, 8, 10, 11, 12, 13, 15, 16, 17, 20, 21, 22, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 38, 39, 40, 41, 44, 46, 47, 48, 49, 50, 51, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 70, 71, 73, 74, 76, 78, 79, 80, 81, 84, 85, 86, 88, 89, 90, 91, 92, 94, 95, 96, 97, 98, 99, 100, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 14, 16, 18, 19, 21, 22, 23, 24, 26, 28, 29, 30, 31, 32, 34, 35, 36, 38, 39, 40, 41, 43, 44, 45, 46, 47, 48, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 73, 74, 75, 76, 78, 80, 81, 82, 83, 86, 87, 88, 89, 91, 93, 94, 95, 98, 100, 1, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 15, 17, 19, 20, 21, 22, 23, 24, 25, 26, 31, 32, 33, 34, 36, 37, 38, 39, 40, 41, 42, 43, 45, 46, 47, 48, 49, 50, 51, 52, 57, 59, 60, 61, 63, 64, 65, 66, 67, 68, 69, 70, 72, 73, 75, 76, 77, 78, 79, 80, 82, 84, 85, 86, 87, 89, 91, 95, 97, 99, 100, 1, 4, 6, 7, 8, 9, 10, 11, 12, 14, 15, 16, 18, 21, 22, 24, 26, 27, 28, 29, 30, 31, 32, 33, 36, 37, 38, 41, 42, 43, 44, 47, 48, 49, 50, 51, 52, 54, 56, 57, 58, 59, 60, 64, 65, 66, 67, 68, 69, 70, 72, 74, 75, 76, 78, 79, 80, 81, 82, 84, 85, 86, 87, 88, 89, 90, 92, 93, 94, 95, 96, 98, 99, 100, 1, 2, 5, 11, 12, 14, 15, 16, 17, 18, 20, 22, 23, 25, 26, 27, 29, 30, 31, 32, 33, 35, 36, 37, 39, 40, 41, 42, 43, 46, 47, 49, 50, 51, 52, 53, 54, 55, 56, 57, 62, 63, 64, 65, 68, 69, 70, 74, 76, 78, 79, 80, 81, 82, 84, 85, 86, 87, 88, 89, 93, 94, 95, 98, 99, 1, 2, 3, 4, 5, 6, 9, 10, 11, 12, 13, 14, 15, 16, 17, 19, 20, 22, 24, 25, 26, 27, 28, 30, 31, 32, 34, 35, 36, 38, 39, 40, 43, 44, 45, 46, 48, 50, 51, 52, 53, 54, 55, 56, 57, 58, 60, 61, 62, 63, 65, 66, 67, 68, 70, 71, 73, 75, 76, 77, 79, 81, 82, 83, 85, 86, 87, 88, 89, 90, 91, 92, 93, 95, 96, 97, 98, 99, 100, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 19, 20, 21, 23, 24, 25, 26, 27, 28, 29, 30, 33, 35, 37, 38, 39, 40, 41, 42, 44, 45, 46, 47, 49, 50, 51, 52, 53, 54, 55, 57, 58, 59, 60, 61, 62, 64, 66, 67, 68, 69, 70, 73, 74, 75, 76, 77, 79, 80, 81, 82, 83, 85, 86, 88, 89, 91, 92, 93, 94, 95, 96, 97, 99, 100, 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 15, 17, 18, 19, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 33, 34, 35, 36, 37, 38, 39, 42, 43, 44, 47, 52, 55, 57, 58, 60, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 77, 78, 79, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 1, 2, 4, 7, 8, 9, 10, 12, 15, 18, 20, 21, 22, 23, 24, 26, 27, 28, 29, 30, 31, 34, 35, 36, 38, 40, 41, 42, 43, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 59, 60, 61, 62, 63, 64, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 84, 85, 86, 87, 88, 89, 90, 91, 92, 94, 96, 97, 98, 2, 3, 5, 6, 7, 8, 9, 10, 12, 13, 15, 18, 20, 21, 22, 23, 25, 26, 28, 30, 31, 32, 33, 34, 35, 36, 38, 39, 40, 41, 42, 44, 45, 46, 47, 48, 49, 50, 53, 55, 56, 57, 60, 61, 62, 63, 64, 66, 68, 69, 71, 72, 73, 74, 75, 76, 79, 80, 81, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 96, 97, 98, 99, 100, 1, 2, 3, 4, 6, 7, 8, 9, 10, 11, 14, 15, 16, 17, 18, 19, 21, 23, 24, 26, 27, 28, 29, 30, 32, 34, 35, 36, 37, 38, 40, 41, 43, 44, 45, 46, 47, 48, 49, 52, 53, 54, 55, 56, 57, 58, 59, 62, 64, 66, 67, 68, 69, 70, 72, 75, 78, 79, 80, 81, 84, 85, 87, 89, 90, 91, 92, 93, 94, 95, 96, 97, 99, 100, 1, 2, 3, 4, 5, 6, 7, 8, 11, 12, 13, 15, 16, 17, 18, 19, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 53, 56, 58, 60, 61, 63, 65, 67, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 89, 90, 91, 93, 94, 95, 96, 99, 100, 1, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 24, 25, 26, 27, 28, 29, 30, 31, 33, 37, 38, 39, 40, 41, 42, 43, 44, 46, 48, 49, 50, 52, 53, 55, 56, 57, 59, 61, 62, 63, 64, 65, 66, 67, 68, 70, 71, 72, 74, 76, 77, 80, 81, 82, 83, 84, 85, 87, 88, 89, 90, 91, 92, 93, 95, 96, 97, 98, 99, 100, 1, 2, 3, 4, 7, 8, 10, 11, 12, 13, 14, 15, 17, 18, 19, 20, 22, 23, 25, 26, 27, 28, 30, 31, 32, 34, 35, 36, 37, 38, 40, 42, 43, 44, 45, 46, 47, 48, 51, 52, 53, 54, 57, 59, 60, 61, 62, 64, 65, 67, 69, 70, 71, 74, 76, 78, 79, 80, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 95, 96, 98, 99, 100, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 15, 16, 17, 19, 20, 21, 22, 24, 25, 26, 27, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 47, 49, 50, 52, 55, 56, 57, 58, 59, 60, 61, 62, 63, 66, 67, 70, 71, 72, 73, 75, 76, 77, 79, 81, 82, 83, 84, 85, 86, 87, 88, 90, 91, 92, 95, 96, 97, 98, 99, 100, 1, 2, 4, 5, 6, 8, 9, 12, 13, 18, 19, 20, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 37, 38, 39, 40, 41, 42, 44, 45, 46, 47, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 64, 65, 66, 68, 69, 70, 73, 74, 75, 76, 79, 80, 82, 83, 84, 85, 87, 88, 89, 91, 92, 93, 94, 95, 96, 98, 100, 2, 3, 4, 6, 7, 8, 10, 11, 12, 13, 14, 15, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27, 28, 29, 30, 32, 33, 34, 35, 36, 38, 39, 41, 42, 43, 44, 45, 46, 48, 50, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 66, 67, 68, 70, 72, 73, 74, 75, 80, 81, 82, 83, 87, 88, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 1, 2, 5, 7, 8, 9, 11, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 24, 25, 26, 27, 28, 29, 30, 31, 34, 35, 36, 37, 38, 39, 40, 41, 42, 44, 45, 46, 48, 50, 51, 52, 53, 54, 56, 57, 58, 61, 64, 65, 66, 67, 68, 70, 71, 72, 73, 74, 75, 77, 81, 82, 83, 86, 88, 89, 90, 92, 93, 95, 96, 97, 100, 3, 4, 6, 9, 10, 12, 14, 15, 17, 18, 19, 20, 22, 25, 26, 27, 29, 30, 31, 32, 33, 35, 36, 38, 39, 40, 41, 42, 43, 44, 46, 47, 48, 49, 50, 51, 52, 53, 56, 58, 59, 60, 62, 63, 65, 66, 68, 69, 70, 71, 72, 73, 74, 75, 77, 78, 80, 82, 83, 84, 85, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 100, 1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 13, 15, 16, 17, 18, 19, 20, 21, 23, 24, 28, 30, 31, 32, 33, 34, 36, 37, 38, 39, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 61, 62, 63, 64, 65, 66, 67, 68, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 83, 84, 86, 87, 88, 89, 90, 92, 93, 94, 96, 97, 98, 99, 100, 1, 2, 3, 4, 5, 6, 7, 10, 11, 13, 14, 15, 16, 18, 19, 20, 22, 24, 25, 26, 27, 28, 31, 32, 33, 34, 35, 37, 39, 40, 41, 42, 43, 44, 45, 46, 48, 51, 52, 53, 54, 55, 56, 57, 59, 60, 61, 62, 64, 65, 66, 68, 69, 71, 72, 73, 74, 79, 80, 81, 82, 84, 86, 87, 88, 89, 93, 94, 97, 98, 99, 100, 2, 4, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 23, 26, 27, 28, 29, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 43, 44, 46, 49, 50, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 77, 78, 79, 80, 81, 83, 84, 86, 87, 88, 89, 90, 91, 92, 94, 95, 96, 97, 99, 100, 3, 4, 5, 6, 7, 9, 11, 14, 15, 17, 18, 19, 20, 21, 22, 25, 26, 27, 28, 29, 30, 31, 32, 35, 36, 37, 38, 39, 41, 42, 43, 44, 45, 46, 48, 51, 52, 55, 56, 58, 59, 60, 61, 62, 63, 64, 65, 67, 68, 70, 72, 73, 74, 77, 79, 81, 82, 83, 84, 85, 89, 91, 93, 94, 95, 97, 98, 99, 100, 1, 2, 3, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 17, 18, 19, 20, 21, 23, 24, 25, 26, 27, 28, 30, 32, 33, 34, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 49, 50, 51, 53, 54, 55, 56, 57, 60, 61, 62, 63, 68, 69, 70, 71, 72, 74, 77, 78, 79, 80, 81, 82, 86, 87, 88, 89, 90, 92, 93, 96, 97, 98, 99, 1, 2, 3, 4, 5, 6, 8, 9, 10, 13, 14, 15, 16, 17, 20, 21, 22, 23, 24, 26, 32, 33, 35, 37, 39, 40, 41, 43, 44, 45, 46, 47, 48, 49, 51, 52, 53, 54, 55, 56, 59, 61, 65, 66, 67, 69, 71, 73, 74, 75, 77, 78, 80, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 1, 3, 4, 5, 9, 10, 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46, 47, 48, 49, 50, 51, 52, 53, 54, 56, 57, 59, 60, 61, 63, 64, 65, 66, 70, 71, 73, 74, 75, 76, 80, 81, 82, 83, 84, 85, 86, 87, 88, 90, 92, 93, 94, 96, 99, 1, 6, 8, 9, 11, 12, 13, 14, 15, 17, 19, 20, 21, 22, 23, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 36, 37, 38, 39, 40, 42, 43, 44, 45, 47, 49, 50, 51, 54, 55, 56, 57, 58, 59, 60, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 85, 86, 87, 88, 89, 91, 92, 93, 94, 96, 98, 100, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 16, 17, 19, 20, 21, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 36, 37, 38, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 54, 55, 56, 57, 58, 59, 62, 63, 64, 65, 66, 67, 70, 71, 74, 75, 76, 77, 78, 79, 80, 81, 83, 84, 86, 87, 88, 89, 91, 92, 93, 94, 96, 98, 100, 2, 4, 5, 9, 10, 11, 14, 15, 17, 20, 22, 23, 24, 25, 26, 27, 28, 29, 31, 32, 33, 34, 36, 37, 38, 39, 40, 42, 43, 44, 45, 46, 47, 48, 49, 51, 54, 55, 56, 57, 58, 60, 61, 62, 63, 64, 66, 67, 68, 69, 70, 72, 73, 74, 78, 79, 80, 82, 84, 86, 87, 88, 89, 90, 91, 93, 94, 95, 97, 98, 99, 100, 1, 2, 3, 4, 5, 6, 8, 10, 11, 13, 14, 15, 16, 17, 18, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 35, 36, 38, 41, 42, 43, 44, 47, 48, 49, 51, 52, 53, 56, 58, 59, 60, 61, 62, 64, 65, 67, 70, 72, 74, 75, 77, 78, 79, 80, 81, 82, 83, 84, 86, 87, 88, 89, 90, 91, 92, 93, 96, 98, 99, 100, 1, 2, 3, 5, 6, 7, 8, 9, 10, 12, 13, 15, 16, 17, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 36, 37, 38, 39, 40, 42, 43, 45, 46, 47, 48, 49, 50, 51, 52, 55, 56, 57, 58, 59, 60, 61, 65, 66, 68, 70, 71, 72, 74, 75, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 90, 91, 92, 93, 95, 97, 98, 99, 100, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 15, 16, 18, 20, 21, 22, 23, 24, 26, 28, 29, 30, 31, 32, 33, 34, 35, 36, 39, 40, 41, 42, 43, 44, 45, 46, 48, 49, 50, 51, 52, 53, 55, 57, 58, 60, 61, 62, 63, 65, 66, 68, 69, 71, 72, 73, 74, 75, 76, 77, 79, 81, 84, 85, 86, 87, 88, 90, 91, 93, 95, 97, 98, 99, 100, 1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 14, 16, 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56, 57, 58, 65, 66, 67, 69, 70, 71, 72, 74, 76, 77, 80, 81, 82, 83, 84, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 1, 2, 3, 5, 6, 7, 8, 9, 11, 12, 13, 15, 18, 19, 20, 21, 22, 25, 26, 27, 28, 29, 31, 33, 34, 36, 37, 38, 39, 40, 41, 42, 43, 45, 46, 47, 48, 52, 53, 54, 55, 58, 61, 62, 63, 64, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 83, 84, 86, 87, 88, 89, 90, 91, 92, 93, 94, 96, 97, 98, 99, 100, 1, 2, 3, 4, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 20, 21, 23, 25, 26, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 46, 47, 48, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 68, 71, 74, 75, 76, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 95, 96, 97, 98, 99, 100, 1, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 18, 19, 21, 22, 23, 24, 26, 28, 30, 31, 32, 33, 34, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 47, 48, 49, 51, 54, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 68, 69, 71, 73, 74, 75, 77, 81, 82, 83, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 1, 3, 4, 5, 6, 7, 8, 10, 11, 12, 14, 15, 16, 18, 19, 20, 21, 22, 24, 25, 26, 28, 29, 31, 32, 33, 35, 37, 38, 39, 40, 41, 42, 43, 45, 46, 47, 49, 51, 52, 53, 54, 55, 56, 57, 59, 60, 62, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 78, 79, 80, 81, 82, 84, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 2, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 39, 41, 42, 43, 45, 46, 47, 48, 50, 51, 52, 53, 54, 56, 57, 58, 60, 61, 66, 67, 69, 70, 71, 73, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 90, 91, 92, 95, 96, 97, 98, 99, 100, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 16, 17, 18, 19, 20, 21, 23, 24, 28, 29, 31, 32, 33, 34, 36, 39, 40, 41, 43, 44, 45, 47, 48, 49, 51, 52, 53, 54, 56, 57, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 73, 74, 75, 76, 77, 80, 81, 82, 83, 85, 86, 88, 89, 90, 91, 92, 93, 94, 95, 97, 99, 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21, 22, 23, 24, 25, 26, 27, 29, 30, 32, 33, 34, 35, 36, 38, 39, 41, 42, 43, 45, 46, 47, 48, 50, 51, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 68, 69, 70, 72, 73, 74, 75, 77, 78, 79, 82, 83, 84, 85, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 1, 3, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 17, 20, 22, 23, 25, 27, 29, 31, 32, 33, 34, 35, 37, 38, 39, 41, 42, 43, 45, 48, 49, 52, 53, 57, 58, 59, 62, 63, 64, 65, 66, 71, 73, 74, 75, 76, 77, 79, 80, 83, 84, 85, 87, 89, 90, 92, 93, 94, 95, 96, 97, 98, 1, 2, 3, 4, 5, 9, 10, 11, 12, 13, 14, 15, 16, 17, 20, 23, 24, 25, 27, 28, 29, 31, 34, 35, 36, 37, 38, 41, 42, 43, 44, 46, 49, 50, 51, 54, 57, 58, 60, 61, 62, 63, 64, 65, 66, 67, 69, 70, 73, 74, 75, 79, 82, 83, 85, 87, 89, 90, 91, 92, 93, 94, 95, 97, 98, 99, 100, 1, 4, 6, 7, 9, 10, 13, 14, 16, 17, 19, 21, 22, 23, 25, 26, 27, 28, 29, 30, 32, 34, 35, 36, 38, 39, 40, 41, 44, 45, 46, 48, 49, 51, 52, 53, 55, 56, 57, 58, 59, 60, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 89, 90, 92, 93, 94, 97, 98, 99, 100, 1, 2, 3, 4, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 22, 24, 26, 27, 31, 32, 33, 35, 36, 37, 38, 39, 40, 41, 42, 43, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 58, 60, 61, 62, 64, 65, 67, 69, 70, 72, 73, 74, 75, 77, 79, 80, 81, 82, 83, 85, 87, 88, 89, 91, 93, 94, 95, 97, 99, 100, 1, 2, 3, 5, 6, 7, 10, 12, 13, 16, 17, 19, 20, 21, 22, 23, 24, 26, 27, 29, 30, 31, 32, 33, 35, 36, 37, 38, 39, 41, 43, 46, 47, 48, 49, 51, 52, 56, 58, 59, 61, 62, 65, 66, 68, 69, 70, 71, 72, 73, 74, 76, 77, 78, 79, 80, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 2, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 19, 21, 23, 24, 25, 26, 28, 30, 31, 32, 33, 34, 35, 36, 38, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 53, 55, 56, 57, 58, 59, 61, 62, 63, 64, 65, 67, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 94, 95, 98, 99, 100, 1, 3, 4, 5, 6, 7, 8, 9, 10, 12, 13, 14, 15, 16, 18, 19, 20, 21, 22, 23, 24, 25, 26, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 47, 51, 52, 53, 54, 55, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 77, 78, 79, 80, 81, 83, 84, 86, 87, 89, 90, 91, 92, 94, 99, 100, 2, 3, 5, 7, 8, 10, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27, 28, 29, 30, 31, 33, 36, 38, 40, 41, 44, 45, 46, 47, 48, 49, 51, 52, 53, 55, 56, 57, 58, 59, 60, 61, 63, 64, 66, 68, 69, 70, 71, 72, 74, 76, 77, 78, 79, 82, 83, 85, 88, 89, 90, 91, 92, 93, 95, 96, 98, 99, 100, 3, 4, 5, 6, 8, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 24, 25, 29, 31, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 47, 48, 49, 51, 52, 53, 54, 55, 56, 57, 60, 61, 62, 63, 64, 65, 67, 69, 70, 72, 73, 74, 76, 77, 78, 79, 80, 81, 82, 83, 84, 86, 87, 89, 90, 93, 94, 95, 96, 97, 98, 99, 100, 1, 2, 3, 5, 6, 7, 10, 11, 12, 15, 18, 19, 21, 22, 23, 25, 26, 27, 28, 29, 31, 32, 33, 37, 38, 39, 40, 41, 44, 46, 47, 48, 49, 50, 51, 53, 54, 55, 57, 58, 59, 60, 61, 62, 63, 64, 67, 68, 69, 70, 71, 72, 73, 75, 77, 78, 79, 80, 81, 82, 83, 84, 85, 88, 90, 91, 92, 95, 97, 98, 99, 100, 1, 2, 3, 5, 6, 7, 8, 9, 11, 12, 15, 16, 17, 19, 20, 22, 23, 24, 25, 26, 27, 29, 30, 31, 34, 36, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 56, 57, 58, 59, 60, 61, 62, 64, 66, 67, 69, 70, 71, 72, 73, 74, 75, 77, 79, 80, 81, 83, 84, 85, 88, 89, 90, 91, 92, 93, 94, 96, 97, 98, 99, 1, 2, 3, 4, 5, 7, 8, 9, 10, 13, 14, 15, 16, 17, 19, 20, 21, 22, 23, 26, 27, 28, 29, 30, 31, 33, 35, 36, 37, 38, 39, 41, 43, 46, 47, 49, 50, 51, 52, 53, 54, 56, 57, 59, 60, 61, 62, 64, 65, 66, 67, 69, 70, 71, 72, 73, 75, 76, 77, 79, 80, 82, 83, 84, 85, 86, 87, 89, 90, 91, 92, 99, 1, 2, 5, 7, 9, 10, 11, 12, 13, 14, 15, 18, 20, 21, 22, 26, 27, 28, 29, 30, 32, 33, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 48, 49, 50, 51, 52, 53, 55, 57, 58, 59, 60, 61, 62, 63, 64, 66, 68, 70, 71, 72, 73, 74, 75, 77, 79, 80, 82, 83, 85, 86, 87, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 1, 2, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 15, 16, 17, 20, 21, 23, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 36, 37, 38, 39, 41, 42, 43, 45, 48, 49, 50, 51, 52, 53, 54, 56, 57, 58, 61, 62, 63, 64, 65, 66, 67, 68, 70, 71, 72, 74, 75, 77, 78, 79, 80, 82, 83, 84, 85, 86, 88, 89, 90, 91, 92, 94, 95, 96, 97, 98, 1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 12, 14, 18, 19, 20, 21, 23, 24, 25, 27, 28, 29, 31, 32, 34, 35, 36, 38, 39, 40, 41, 43, 44, 45, 46, 47, 48, 49, 51, 52, 54, 55, 56, 57, 60, 61, 63, 64, 65, 67, 68, 71, 72, 73, 74, 75, 76, 77, 79, 80, 83, 84, 85, 87, 88, 89, 90, 92, 93, 94, 95, 96, 97, 98, 99, 100, 1, 2, 3, 4, 6, 8, 9, 10, 11, 12, 13, 14, 16, 18, 19, 20, 21, 23, 25, 26, 27, 28, 29, 30, 31, 35, 36, 38, 41, 42, 43, 44, 45, 46, 47, 48, 50, 51, 52, 53, 54, 56, 57, 58, 59, 61, 64, 65, 66, 68, 69, 72, 73, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 88, 89, 90, 92, 93, 94, 96, 97, 99, 100, 4, 6, 7, 9, 11, 12, 13, 15, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 30, 32, 35, 37, 39, 41, 42, 43, 44, 45, 46, 47, 49, 50, 51, 52, 53, 54, 55, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 75, 76, 77, 78, 79, 81, 82, 83, 84, 85, 87, 88, 89, 91, 92, 95, 96, 97, 98, 99, 100, 1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 27, 28, 30, 32, 33, 35, 36, 37, 39, 40, 42, 43, 44, 45, 46, 47, 49, 50, 51, 52, 53, 57, 59, 60, 61, 62, 63, 64, 66, 68, 69, 70, 71, 72, 73, 75, 77, 78, 79, 80, 81, 82, 83, 84, 86, 87, 88, 89, 91, 92, 93, 94, 95, 96, 97, 98, 1, 4, 8, 9, 10, 11, 13, 14, 15, 16, 17, 18, 22, 23, 24, 25, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 41, 42, 44, 45, 46, 47, 48, 49, 53, 55, 56, 57, 58, 59, 60, 61, 62, 63, 65, 66, 68, 69, 70, 72, 73, 75, 78, 79, 80, 81, 83, 84, 88, 90, 91, 93, 94, 95, 96, 97, 98, 99, 1, 2, 3, 4, 6, 7, 8, 9, 11, 12, 13, 15, 16, 17, 18, 20, 23, 24, 26, 29, 30, 31, 33, 34, 35, 36, 37, 38, 39, 40, 41, 44, 45, 46, 47, 49, 50, 51, 53, 56, 57, 58, 59, 60, 62, 64, 65, 67, 68, 69, 70, 71, 72, 73, 74, 77, 79, 83, 84, 85, 86, 90, 91, 92, 93, 94, 95, 96, 98, 100, 4, 5, 7, 9, 10, 11, 13, 15, 16, 17, 19, 20, 21, 22, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 36, 38, 41, 42, 43, 44, 45, 46, 47, 48, 49, 51, 52, 53, 54, 55, 58, 59, 60, 61, 62, 63, 64, 65, 66, 68, 69, 70, 71, 72, 73, 74, 75, 77, 78, 80, 81, 82, 83, 86, 87, 89, 90, 92, 95, 96, 97, 98, 99, 2, 4, 5, 6, 7, 8, 9, 10, 11, 15, 16, 17, 18, 19, 20, 21, 25, 26, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 42, 43, 44, 45, 46, 47, 50, 51, 52, 53, 55, 56, 58, 59, 60, 61, 62, 64, 65, 66, 67, 69, 71, 72, 73, 75, 76, 77, 79, 80, 81, 82, 84, 85, 86, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 18, 19, 21, 23, 25, 26, 27, 29, 30, 31, 32, 34, 36, 37, 38, 39, 42, 43, 46, 47, 48, 49, 50, 53, 54, 55, 56, 58, 59, 63, 64, 65, 67, 68, 69, 70, 73, 74, 75, 76, 77, 78, 79, 80, 83, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 96, 97, 99, 100, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 14, 16, 17, 18, 20, 21, 22, 23, 24, 25, 26, 28, 29, 30, 31, 32, 33, 34, 35, 37, 40, 41, 42, 43, 44, 45, 47, 48, 49, 50, 51, 52, 53, 54, 58, 59, 60, 61, 62, 63, 65, 67, 68, 70, 71, 74, 76, 78, 79, 80, 81, 82, 83, 84, 86, 87, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 1, 2, 3, 5, 7, 8, 9, 10, 11, 12, 13, 16, 17, 18, 19, 20, 21, 23, 24, 25, 26, 29, 30, 31, 32, 33, 34, 35, 37, 39, 40, 41, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 57, 58, 60, 61, 62, 64, 65, 66, 67, 69, 70, 72, 73, 74, 75, 78, 79, 80, 81, 82, 83, 84, 85, 86, 88, 89, 91, 92, 93, 94, 95, 100, 2, 4, 6, 8, 9, 10, 11, 12, 14, 15, 18, 22, 23, 24, 25, 27, 28, 29, 33, 35, 37, 38, 39, 40, 41, 43, 46, 47, 49, 50, 52, 53, 54, 55, 58, 61, 62, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 77, 78, 80, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 96, 99, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 14, 15, 16, 18, 20, 21, 23, 26, 27, 28, 31, 32, 35, 37, 38, 39, 40, 41, 42, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 57, 59, 61, 62, 63, 65, 66, 68, 69, 70, 71, 73, 74, 75, 76, 77, 78, 80, 81, 82, 85, 87, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 1, 2, 3, 4, 5, 8, 10, 11, 13, 14, 15, 17, 18, 20, 21, 22, 23, 24, 25, 27, 28, 29, 31, 32, 33, 34, 35, 36, 37, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 51, 54, 55, 57, 58, 59, 61, 63, 64, 67, 69, 70, 71, 72, 73, 77, 78, 79, 80, 81, 83, 84, 85, 86, 87, 88, 89, 90, 92, 94, 96, 100, 1, 2, 3, 5, 7, 8, 11, 13, 14, 16, 17, 18, 19, 20, 21, 23, 24, 28, 29, 30, 31, 33, 34, 35, 37, 38, 39, 40, 41, 42, 44, 45, 46, 48, 49, 50, 51, 52, 53, 54, 57, 58, 59, 61, 62, 63, 64, 65, 66, 69, 71, 72, 73, 74, 75, 77, 78, 79, 81, 82, 83, 85, 86, 87, 88, 90, 91, 92, 94, 95, 96, 97, 98, 99, 100, 1, 2, 3, 6, 7, 8, 9, 10, 13, 14, 15, 16, 18, 19, 20, 21, 22, 23, 24, 25, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 44, 45, 46, 47, 48, 50, 51, 52, 54, 55, 56, 58, 59, 61, 63, 64, 65, 66, 67, 68, 70, 71, 76, 78, 80, 81, 82, 83, 87, 88, 89, 90, 92, 93, 94, 95, 96, 98, 99, 100, 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 16, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 33, 34, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 60, 61, 62, 63, 64, 65, 67, 68, 69, 70, 71, 72, 74, 76, 78, 79, 80, 82, 83, 85, 86, 87, 88, 89, 90, 91, 92, 93, 95, 96, 98, 100, 1, 2, 3, 4, 5, 6, 7, 8, 10, 11, 12, 13, 14, 15, 16, 17, 19, 20, 21, 22, 23, 25, 26, 27, 28, 29, 31, 33, 36, 37, 39, 41, 43, 44, 45, 46, 47, 50, 51, 53, 54, 58, 60, 61, 62, 66, 67, 69, 70, 71, 72, 73, 75, 77, 78, 79, 80, 81, 82, 83, 86, 88, 89, 90, 91, 92, 94, 95, 96, 97, 99, 100, 1, 2, 3, 5, 6, 7, 8, 9, 10, 11, 12, 15, 16, 18, 19, 20, 21, 24, 26, 27, 29, 30, 31, 32, 33, 34, 35, 36, 38, 39, 40, 41, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 56, 58, 60, 61, 63, 64, 66, 67, 68, 70, 71, 72, 73, 74, 75, 76, 77, 79, 80, 82, 83, 84, 85, 88, 89, 91, 92, 93, 95, 97, 98, 99, 100, 1, 2, 3, 4, 5, 6, 7, 9, 11, 12, 13, 15, 16, 17, 19, 21, 22, 23, 24, 25, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 38, 39, 40, 41, 44, 45, 46, 47, 49, 50, 51, 52, 53, 54, 55, 56, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 70, 71, 72, 73, 74, 77, 78, 80, 81, 82, 84, 85, 87, 89, 91, 92, 93, 95, 96, 98, 99, 100, 1, 2, 3, 5, 6, 7, 9, 10, 11, 12, 13, 14, 17, 18, 19, 21, 22, 24, 25, 26, 27, 29, 31, 33, 36, 37, 38, 39, 40, 41, 42, 44, 45, 47, 48, 49, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 63, 64, 65, 67, 68, 69, 70, 72, 74, 75, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 93, 94, 95, 96, 98, 99, 100, 1, 2, 3, 4, 5, 7, 8, 9, 11, 14, 15, 16, 19, 21, 22, 24, 25, 26, 27, 28, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 42, 43, 44, 46, 47, 49, 50, 52, 53, 55, 56, 57, 58, 59, 60, 62, 65, 66, 67, 68, 69, 71, 72, 73, 74, 75, 76, 77, 78, 82, 83, 84, 85, 88, 89, 90, 91, 93, 95, 96, 97, 98, 99, 100, 1, 2, 4, 6, 7, 8, 9, 10, 11, 15, 16, 17, 18, 20, 21, 23, 24, 25, 26, 28, 29, 30, 31, 32, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 52, 54, 55, 58, 59, 61, 62, 63, 65, 66, 67, 68, 69, 70, 71, 74, 75, 76, 80, 81, 82, 85, 87, 89, 90, 91, 92, 96, 97, 98, 1, 2, 4, 5, 6, 8, 9, 12, 13, 14, 15, 16, 19, 20, 21, 22, 23, 24, 25, 28, 29, 32, 34, 35, 37, 39, 40, 41, 42, 43, 45, 46, 47, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 69, 70, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 89, 93, 94, 95, 96, 100, 1, 4, 5, 7, 8, 9, 10, 12, 13, 14, 15, 16, 18, 20, 21, 22, 23, 24, 25, 26, 27, 28, 30, 31, 32, 33, 35, 38, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 51, 52, 53, 54, 55, 56, 57, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 74, 75, 76, 77, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 94, 95, 96, 98, 1, 3, 4, 6, 7, 8, 10, 12, 13, 15, 16, 17, 18, 19, 20, 21, 23, 24, 25, 27, 29, 30, 32, 33, 34, 35, 36, 37, 39, 40, 42, 43, 44, 45, 48, 49, 50, 51, 52, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 67, 69, 70, 71, 72, 73, 74, 77, 78, 79, 81, 82, 83, 84, 85, 88, 90, 91, 92, 93, 94, 95, 96, 97, 99, 100, 2, 5, 6, 7, 8, 9, 10, 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55, 56, 57, 60, 61, 62, 63, 64, 65, 66, 69, 70, 71, 73, 74, 75, 76, 77, 78, 80, 81, 82, 83, 87, 88, 90, 92, 93, 94, 95, 96, 97, 98, 100, 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 13, 14, 15, 16, 17, 20, 21, 23, 24, 25, 26, 27, 30, 31, 32, 33, 34, 35, 39, 40, 41, 42, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 62, 63, 64, 65, 66, 68, 69, 70, 71, 72, 73, 75, 77, 78, 80, 81, 82, 84, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 98, 99, 1, 2, 3, 4, 7, 8, 9, 10, 11, 12, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 60, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 74, 76, 80, 81, 82, 83, 85, 86, 88, 90, 91, 93, 96, 97, 98, 99, 100, 1, 2, 3, 4, 5, 6, 8, 10, 13, 15, 16, 17, 19, 20, 21, 22, 23, 24, 25, 26, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 43, 44, 45, 47, 48, 50, 52, 53, 54, 55, 56, 58, 59, 61, 62, 64, 65, 66, 67, 68, 69, 70, 71, 72, 74, 78, 79, 80, 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34, 36, 37, 38, 42, 43, 44, 45, 46, 48, 49, 50, 51, 54, 56, 57, 58, 59, 60, 61, 63, 64, 66, 67, 69, 70, 72, 74, 76, 77, 78, 81, 83, 84, 85, 86, 87, 88, 90, 91, 92, 94, 95, 96, 100, 1, 2, 3, 4, 5, 7, 8, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 23, 24, 25, 26, 28, 29, 30, 31, 32, 33, 34, 35, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 49, 50, 51, 52, 54, 55, 57, 58, 59, 60, 62, 63, 64, 66, 67, 68, 69, 71, 72, 73, 75, 76, 77, 78, 79, 80, 83, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 99, 1, 2, 4, 5, 6, 9, 10, 11, 12, 13, 14, 15, 18, 19, 20, 21, 22, 23, 25, 26, 27, 31, 33, 34, 35, 37, 39, 40, 41, 42, 43, 44, 45, 47, 48, 49, 50, 52, 53, 55, 57, 58, 59, 60, 62, 63, 65, 66, 67, 69, 71, 72, 73, 76, 78, 79, 80, 81, 82, 85, 86, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 1, 2, 3, 5, 6, 8, 9, 10, 11, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 33, 34, 35, 38, 39, 40, 43, 44, 45, 47, 48, 49, 51, 52, 53, 55, 56, 57, 58, 60, 61, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 78, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 94, 95, 96, 97, 98, 99, 100, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 20, 21, 22, 23, 24, 25, 26, 27, 28, 30, 31, 32, 33, 34, 35, 36, 40, 41, 42, 44, 45, 46, 47, 48, 49, 50, 51, 53, 55, 56, 57, 59, 62, 63, 64, 65, 67, 68, 71, 72, 73, 74, 75, 76, 78, 79, 80, 81, 83, 84, 87, 88, 89, 92, 93, 94, 95, 96, 97, 98, 99, 100, 1, 2, 3, 4, 5, 6, 7, 8, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 22, 25, 27, 28, 29, 30, 34, 35, 39, 40, 41, 42, 43, 45, 46, 47, 48, 50, 51, 52, 53, 54, 55, 56, 58, 59, 60, 62, 63, 64, 66, 67, 68, 69, 70, 71, 72, 73, 75, 76, 77, 78, 79, 81, 82, 83, 86, 87, 88, 89, 90, 92, 94, 95, 96, 97, 98, 99, 100, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 13, 14, 15, 16, 17, 18, 20, 21, 25, 26, 28, 29, 30, 32, 35, 36, 39, 40, 43, 45, 46, 47, 48, 49, 50, 52, 53, 54, 55, 58, 59, 61, 62, 64, 65, 66, 67, 68, 69, 71, 72, 74, 78, 79, 80, 81, 82, 83, 86, 88, 91, 92, 93, 94, 95, 96, 97, 99, 1, 2, 3, 4, 5, 9, 10, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 24, 25, 26, 27, 28, 30, 31, 32, 33, 34, 35, 37, 38, 39, 41, 43, 44, 45, 47, 48, 49, 50, 51, 52, 53, 55, 56, 57, 58, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 73, 74, 75, 76, 77, 78, 79, 80, 81, 85, 86, 87, 88, 89, 91, 92, 93, 94, 95, 97, 98, 1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 20, 21, 22, 25, 26, 27, 28, 30, 31, 33, 35, 36, 37, 38, 39, 40, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 61, 62, 63, 64, 65, 66, 68, 69, 70, 71, 73, 74, 75, 76, 79, 80, 81, 82, 83, 84, 85, 86, 88, 89, 90, 91, 92, 93, 94, 95, 97, 98, 99, 100, 1, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 35, 37, 40, 43, 44, 45, 47, 48, 50, 52, 54, 55, 57, 58, 59, 60, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 77, 78, 80, 81, 82, 83, 84, 85, 88, 89, 90, 92, 94, 95, 97, 98, 99, 100, 3, 5, 7, 10, 11, 13, 14, 16, 17, 18, 19, 20, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 37, 39, 40, 42, 43, 44, 45, 46, 47, 48, 50, 51, 52, 53, 56, 57, 58, 59, 60, 62, 63, 64, 65, 67, 68, 69, 71, 72, 73, 74, 75, 77, 78, 79, 80, 81, 82, 86, 87, 88, 89, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 1, 3, 4, 5, 8, 9, 10, 11, 12, 13, 14, 18, 19, 20, 21, 23, 24, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 45, 46, 49, 52, 54, 55, 56, 57, 59, 60, 61, 62, 63, 64, 65, 66, 68, 70, 71, 73, 74, 75, 77, 78, 79, 81, 82, 83, 85, 86, 87, 88, 89, 90, 91, 93, 95, 96, 97, 98, 100, 3, 4, 5, 6, 7, 8, 9, 10, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 25, 26, 28, 29, 30, 31, 32, 33, 34, 36, 37, 38, 39, 40, 43, 44, 45, 47, 48, 49, 50, 51, 52, 56, 57, 58, 59, 60, 61, 63, 64, 66, 67, 69, 70, 71, 72, 73, 75, 76, 78, 79, 84, 87, 88, 89, 91, 93, 94, 97, 99, 100, 3, 4, 5, 6, 12, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 27, 28, 29, 31, 33, 36, 37, 38, 39, 40, 41, 43, 44, 45, 46, 50, 51, 52, 53, 56, 57, 58, 60, 62, 63, 64, 65, 66, 68, 69, 70, 72, 73, 74, 76, 77, 78, 80, 82, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 96, 98, 99, 100, 1, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 25, 27, 28, 29, 30, 32, 33, 34, 35, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 55, 56, 57, 58, 59, 60, 61, 62, 64, 65, 66, 68, 69, 70, 71, 72, 74, 75, 77, 78, 79, 80, 81, 83, 84, 85, 86, 87, 91, 93, 94, 96, 97, 98, 99, 1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 17, 18, 19, 20, 21, 22, 23, 25, 26, 27, 28, 29, 30, 31, 32, 38, 39, 40, 42, 43, 44, 45, 46, 48, 49, 51, 53, 55, 57, 58, 59, 60, 61, 63, 66, 67, 70, 71, 72, 73, 74, 75, 76, 77, 80, 81, 82, 84, 85, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 1, 2, 3, 4, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 22, 23, 26, 27, 28, 29, 30, 32, 33, 34, 35, 36, 37, 38, 40, 41, 42, 43, 44, 46, 47, 48, 49, 51, 52, 53, 54, 55, 56, 58, 59, 60, 61, 62, 63, 64, 65, 66, 69, 70, 71, 72, 73, 74, 76, 78, 79, 80, 81, 84, 85, 89, 91, 92, 93, 94, 95, 97, 98, 100, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 15, 17, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 30, 31, 32, 33, 34, 35, 36, 37, 38, 40, 41, 42, 43, 44, 47, 48, 49, 50, 55, 57, 58, 59, 60, 62, 63, 65, 67, 68, 69, 70, 71, 73, 75, 78, 80, 84, 85, 86, 87, 89, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 1, 2, 4, 5, 6, 7, 8, 10, 12, 14, 16, 19, 20, 21, 22, 24, 25, 26, 28, 29, 30, 31, 32, 33, 34, 36, 37, 39, 41, 42, 43, 45, 46, 47, 50, 52, 53, 54, 56, 58, 60, 61, 62, 63, 64, 65, 66, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 99, 100, 1, 2, 3, 4, 6, 7, 8, 9, 11, 12, 13, 14, 15, 17, 18, 19, 20, 21, 22, 23, 25, 27, 28, 29, 30, 32, 33, 34, 35, 36, 37, 38, 40, 41, 42, 43, 44, 45, 46, 48, 49, 50, 51, 54, 55, 56, 57, 58, 60, 61, 62, 63, 64, 65, 67, 68, 69, 70, 71, 72, 74, 75, 77, 78, 79, 80, 81, 82, 83, 84, 85, 87, 88, 89, 90, 91, 92, 93, 95, 96, 97, 98, 99, 100, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 13, 14, 15, 16, 17, 19, 21, 23, 24, 25, 27, 28, 29, 33, 34, 36, 37, 38, 39, 40, 41, 42, 44, 45, 46, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 64, 65, 66, 67, 68, 69, 70, 72, 73, 74, 75, 77, 78, 79, 80, 81, 82, 83, 85, 86, 87, 89, 90, 91, 92, 93, 95, 97, 100, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 15, 16, 17, 19, 20, 21, 22, 24, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 38, 39, 40, 41, 42, 43, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 57, 58, 59, 60, 61, 62, 64, 65, 66, 68, 69, 70, 73, 74, 75, 76, 77, 78, 79, 80, 82, 83, 84, 86, 87, 88, 90, 91, 92, 93, 94, 96, 98, 2, 3, 4, 5, 12, 13, 14, 15, 16, 18, 19, 20, 21, 22, 23, 24, 25, 28, 30, 31, 32, 33, 35, 36, 37, 39, 40, 41, 42, 43, 45, 47, 50, 52, 54, 56, 58, 59, 60, 61, 63, 64, 65, 67, 69, 70, 72, 73, 74, 75, 76, 77, 79, 80, 81, 82, 83, 86, 87, 88, 91, 93, 96, 97, 98, 100, 1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 19, 20, 21, 23, 24, 26, 27, 28, 30, 31, 33, 34, 35, 36, 37, 38, 39, 40, 41, 43, 44, 45, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 63, 66, 67, 68, 70, 72, 73, 74, 75, 76, 77, 79, 80, 81, 82, 83, 86, 87, 89, 90, 91, 92, 93, 94, 95, 97, 98, 2, 3, 5, 6, 7, 9, 13, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 28, 29, 30, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 43, 45, 46, 47, 48, 52, 53, 54, 55, 56, 57, 59, 60, 61, 62, 63, 64, 65, 66, 68, 70, 72, 74, 76, 77, 79, 80, 82, 83, 84, 85, 86, 87, 88, 90, 91, 93, 94, 95, 96, 97, 98, 1, 2, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 15, 17, 18, 19, 20, 21, 22, 23, 25, 26, 29, 30, 32, 33, 34, 35, 36, 37, 38, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 56, 57, 58, 59, 63, 64, 66, 67, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 80, 82, 84, 85, 86, 88, 89, 90, 91, 93, 94, 95, 96, 97, 99, 100, 1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 14, 15, 16, 17, 19, 20, 22, 23, 24, 26, 28, 29, 30, 31, 32, 36, 37, 38, 39, 41, 42, 43, 45, 46, 47, 49, 50, 51, 52, 53, 54, 55, 56, 57, 60, 61, 62, 63, 66, 67, 68, 69, 73, 74, 75, 76, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 91, 93, 94, 95, 96, 98, 99, 100, 1, 5, 6, 7, 9, 10, 12, 13, 14, 15, 17, 19, 21, 22, 23, 24, 26, 27, 28, 31, 33, 34, 35, 36, 37, 40, 41, 42, 43, 44, 46, 48, 49, 50, 52, 53, 54, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 67, 68, 69, 71, 73, 74, 75, 76, 79, 80, 82, 85, 88, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 1, 2, 3, 4, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 22, 23, 24, 25, 26, 27, 28, 29, 30, 32, 35, 36, 38, 39, 40, 41, 43, 44, 45, 46, 48, 49, 50, 51, 52, 53, 54, 56, 57, 58, 59, 60, 61, 62, 63, 64, 66, 67, 68, 69, 71, 72, 73, 74, 75, 76, 78, 79, 80, 82, 83, 84, 87, 88, 90, 91, 95, 98, 99, 1, 2, 4, 5, 6, 7, 9, 10, 11, 12, 14, 15, 16, 17, 18, 21, 22, 23, 26, 27, 28, 29, 30, 34, 35, 36, 37, 39, 41, 42, 43, 45, 46, 47, 48, 49, 51, 53, 54, 56, 57, 58, 61, 62, 63, 64, 65, 67, 69, 70, 71, 73, 76, 77, 78, 79, 80, 82, 83, 84, 85, 86, 87, 90, 94, 95, 96, 97, 98, 99, 100, 1, 2, 3, 4, 6, 7, 9, 10, 12, 13, 14, 15, 16, 17, 18, 19, 20, 22, 23, 24, 25, 26, 29, 31, 32, 34, 35, 36, 37, 39, 40, 41, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 62, 65, 66, 68, 69, 70, 71, 74, 76, 77, 78, 79, 81, 85, 86, 87, 90, 91, 92, 93, 94, 95, 96, 97, 98, 100, 1, 2, 3, 4, 5, 6, 7, 10, 11, 14, 15, 17, 18, 23, 24, 25, 26, 27, 28, 29, 30, 32, 33, 34, 36, 37, 38, 40, 41, 42, 43, 44, 46, 47, 49, 51, 52, 53, 54, 55, 57, 58, 60, 63, 65, 67, 68, 70, 71, 72, 73, 74, 76, 77, 78, 79, 80, 82, 83, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 16, 17, 18, 19, 20, 21, 23, 24, 25, 26, 28, 29, 30, 31, 34, 36, 38, 39, 41, 42, 46, 48, 49, 51, 52, 53, 54, 55, 56, 59, 62, 63, 64, 65, 66, 67, 69, 70, 71, 72, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 87, 88, 89, 90, 91, 93, 94, 95, 99, 100, 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 15, 16, 18, 19, 20, 21, 22, 23, 24, 25, 26, 29, 30, 32, 33, 34, 35, 36, 39, 40, 41, 42, 44, 45, 46, 47, 48, 49, 53, 54, 55, 56, 57, 58, 60, 61, 63, 64, 65, 66, 67, 68, 69, 71, 72, 73, 74, 75, 77, 80, 81, 82, 83, 84, 85, 87, 88, 90, 91, 92, 93, 95, 96, 97, 98, 99, 2, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 21, 23, 24, 25, 26, 27, 28, 29, 30, 32, 34, 35, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 50, 51, 52, 53, 54, 55, 56, 57, 58, 61, 63, 64, 66, 67, 68, 69, 70, 71, 74, 75, 76, 77, 79, 80, 81, 82, 83, 86, 87, 88, 90, 91, 92, 93, 95, 96, 97, 98, 99, 100, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 24, 25, 26, 27, 31, 33, 34, 35, 36, 37, 38, 39, 40, 42, 43, 44, 45, 46, 47, 50, 51, 52, 54, 56, 58, 59, 60, 61, 62, 63, 64, 65, 66, 68, 69, 70, 73, 74, 75, 76, 77, 78, 79, 80, 81, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 97, 98, 99, 100, 1, 2, 3, 4, 5, 8, 9, 11, 12, 13, 14, 15, 16, 17, 22, 23, 24, 25, 27, 28, 29, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 43, 45, 46, 48, 49, 50, 51, 52, 54, 55, 56, 57, 58, 59, 60, 61, 62, 64, 66, 68, 69, 70, 72, 73, 74, 75, 76, 78, 79, 81, 83, 84, 85, 86, 87, 88, 89, 90, 91, 93, 94, 95, 96, 97, 99, 100, 1, 3, 5, 6, 7, 8, 9, 11, 13, 14, 18, 19, 20, 21, 23, 25, 26, 27, 28, 29, 31, 32, 33, 34, 35, 38, 39, 40, 42, 43, 44, 45, 46, 47, 48, 49, 50, 53, 54, 55, 57, 58, 60, 61, 62, 63, 67, 68, 69, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 86, 88, 89, 90, 92, 93, 96, 98, 1, 3, 5, 6, 7, 8, 9, 10, 11, 12, 13, 16, 17, 18, 19, 21, 22, 23, 26, 30, 31, 32, 33, 34, 37, 38, 39, 40, 43, 44, 45, 46, 50, 51, 53, 54, 55, 57, 59, 60, 63, 67, 68, 69, 71, 72, 73, 74, 75, 76, 78, 80, 81, 82, 83, 84, 85, 86, 87, 93, 94, 95, 96, 98, 100, 1, 3, 4, 5, 6, 8, 9, 10, 11, 14, 16, 17, 18, 19, 21, 22, 23, 24, 25, 26, 27, 29, 30, 31, 32, 33, 34, 36, 37, 40, 41, 43, 44, 45, 46, 47, 48, 49, 50, 51, 55, 56, 60, 62, 66, 67, 68, 69, 70, 71, 72, 73, 74, 76, 77, 78, 79, 80, 82, 83, 84, 86, 87, 89, 90, 91, 92, 93, 94, 95, 97, 98, 99, 100, 1, 2, 4, 5, 10, 11, 12, 14, 17, 18, 19, 22, 24, 25, 26, 27, 28, 29, 30, 32, 34, 35, 37, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 55, 56, 57, 58, 60, 62, 63, 64, 65, 66, 67, 68, 69, 70, 72, 73, 74, 75, 76, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 95, 97, 100, 1, 2, 3, 4, 6, 7, 8, 9, 10, 11, 12, 13, 15, 16, 17, 18, 19, 20, 22, 24, 26, 27, 28, 31, 32, 33, 34, 35, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 51, 52, 54, 55, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 69, 70, 71, 72, 73, 74, 76, 77, 78, 79, 80, 81, 83, 84, 85, 86, 88, 89, 90, 92, 93, 95, 100, 2, 3, 5, 6, 7, 8, 9, 10, 11, 12, 14, 15, 17, 18, 19, 20, 22, 23, 24, 25, 26, 27, 28, 30, 33, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 56, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 75, 76, 77, 78, 80, 82, 83, 84, 86, 87, 88, 89, 90, 91, 92, 95, 97, 98, 100, 1, 3, 4, 5, 7, 8, 9, 11, 14, 15, 16, 18, 20, 21, 23, 25, 27, 29, 30, 35, 37, 39, 40, 41, 42, 43, 44, 45, 46, 47, 49, 50, 53, 54, 55, 56, 57, 58, 61, 62, 64, 65, 66, 67, 68, 69, 71, 72, 73, 74, 75, 77, 78, 80, 82, 83, 85, 86, 87, 88, 89, 91, 92, 93, 95, 96, 97, 98, 99, 100, 1, 2, 3, 4, 5, 7, 8, 9, 13, 14, 15, 17, 18, 19, 21, 23, 25, 27, 29, 30, 31, 33, 34, 35, 36, 37, 39, 41, 42, 43, 44, 45, 46, 48, 49, 50, 52, 53, 55, 56, 57, 61, 62, 63, 64, 65, 66, 67, 68, 70, 71, 73, 74, 76, 78, 79, 80, 81, 82, 83, 86, 87, 89, 90, 91, 92, 93, 95, 96, 97, 98, 99, 100, 1, 3, 4, 6, 7, 8, 9, 10, 13, 14, 15, 16, 17, 19, 20, 21, 22, 25, 26, 27, 28, 30, 31, 32, 33, 34, 35, 36, 38, 39, 41, 42, 43, 45, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 60, 62, 63, 64, 66, 69, 70, 71, 73, 74, 75, 77, 78, 79, 80, 81, 82, 84, 85, 86, 87, 89, 90, 91, 92, 94, 95, 96, 97, 98, 99, 100, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 18, 19, 21, 22, 23, 24, 25, 26, 27, 29, 32, 33, 34, 36, 38, 39, 40, 41, 42, 43, 45, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 61, 62, 64, 65, 67, 68, 70, 71, 72, 73, 74, 75, 77, 78, 79, 80, 81, 82, 83, 85, 86, 87, 88, 89, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 3, 6, 7, 8, 9, 11, 12, 13, 15, 16, 21, 22, 23, 24, 26, 27, 28, 29, 30, 32, 33, 34, 35, 37, 39, 40, 43, 44, 45, 46, 47, 48, 49, 53, 54, 58, 59, 60, 61, 62, 63, 64, 65, 67, 68, 70, 71, 72, 73, 74, 75, 77, 78, 79, 82, 83, 84, 85, 86, 88, 89, 90, 91, 93, 94, 95, 97, 98, 100, 1, 2, 4, 5, 6, 7, 8, 9, 11, 14, 15, 17, 18, 19, 21, 22, 23, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 37, 39, 40, 41, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 57, 58, 60, 61, 64, 65, 67, 70, 71, 72, 74, 75, 76, 77, 78, 80, 81, 84, 85, 87, 88, 89, 90, 91, 93, 94, 95, 96, 97, 100, 1, 2, 5, 6, 7, 9, 10, 13, 14, 16, 17, 18, 19, 20, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 34, 35, 36, 39, 41, 43, 45, 48, 49, 50, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 72, 73, 75, 76, 77, 78, 79, 83, 84, 85, 86, 88, 91, 92, 93, 95, 98, 100, 1, 2, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 25, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 39, 40, 46, 48, 49, 51, 52, 55, 56, 57, 58, 59, 61, 62, 63, 64, 66, 67, 68, 69, 70, 71, 72, 73, 75, 79, 81, 82, 83, 84, 85, 86, 87, 88, 91, 92, 95, 97, 99, 1, 2, 4, 6, 8, 11, 12, 13, 14, 15, 16, 19, 21, 22, 23, 27, 28, 29, 30, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 45, 46, 47, 49, 50, 51, 52, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 65, 68, 69, 70, 73, 75, 76, 77, 78, 79, 81, 82, 83, 85, 87, 90, 91, 94, 95, 97, 99, 1, 2, 3, 4, 8, 9, 10, 11, 12, 15, 17, 19, 20, 21, 22, 23, 25, 27, 28, 29, 31, 32, 33, 35, 36, 37, 38, 40, 41, 42, 43, 44, 45, 46, 48, 49, 50, 51, 53, 55, 56, 57, 58, 60, 61, 62, 64, 65, 66, 67, 69, 70, 72, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 86, 87, 88, 89, 90, 92, 93, 94, 95, 96, 97, 98, 99, 1, 3, 4, 5, 6, 8, 9, 10, 11, 13, 15, 17, 19, 20, 24, 25, 27, 28, 31, 32, 34, 35, 36, 38, 39, 40, 42, 43, 44, 45, 47, 48, 49, 50, 51, 55, 56, 57, 58, 60, 61, 62, 63, 64, 65, 67, 70, 72, 73, 75, 76, 77, 80, 81, 82, 83, 84, 85, 86, 88, 89, 90, 92, 94, 95, 96, 97, 98, 99, 100, 1, 3, 4, 6, 7, 8, 10, 11, 13, 14, 15, 16, 17, 18, 19, 20, 22, 23, 24, 25, 26, 27, 28, 30, 31, 32, 33, 34, 36, 39, 40, 41, 43, 44, 45, 46, 48, 49, 50, 52, 56, 58, 59, 61, 65, 66, 68, 71, 72, 76, 77, 78, 79, 80, 84, 85, 87, 88, 91, 92, 94, 96, 97, 99, 100, 1, 2, 3, 4, 5, 6, 9, 10, 11, 12, 14, 15, 16, 18, 19, 20, 21, 23, 24, 26, 27, 28, 29, 30, 31, 32, 33, 35, 36, 37, 38, 39, 40, 42, 43, 44, 45, 46, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 59, 60, 61, 62, 64, 66, 68, 70, 71, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 86, 87, 88, 89, 91, 93, 94, 96, 97, 99, 2, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 16, 17, 18, 19, 22, 23, 24, 25, 26, 27, 29, 30, 32, 33, 36, 44, 46, 48, 50, 51, 53, 54, 55, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 69, 72, 73, 74, 75, 76, 77, 78, 80, 82, 83, 84, 86, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 1, 2, 3, 4, 5, 7, 8, 9, 10, 12, 14, 15, 17, 19, 20, 21, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 40, 41, 42, 44, 46, 47, 48, 50, 51, 52, 54, 55, 56, 57, 58, 61, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 84, 85, 86, 87, 88, 89, 90, 91, 93, 94, 96, 98, 99, 100, 1, 2, 3, 6, 7, 8, 10, 11, 13, 14, 16, 17, 18, 19, 20, 21, 24, 25, 26, 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57, 59, 60, 62, 63, 64, 65, 66, 67, 68, 70, 71, 73, 74, 75, 76, 77, 78, 79, 81, 85, 87, 90, 92, 93, 94, 95, 96, 97, 99, 100, 1, 2, 3, 4, 5, 7, 8, 9, 11, 12, 13, 15, 16, 17, 19, 20, 21, 22, 23, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 39, 41, 42, 43, 45, 47, 51, 52, 53, 54, 55, 57, 58, 59, 61, 62, 64, 65, 66, 67, 68, 69, 71, 72, 73, 74, 78, 79, 80, 81, 82, 84, 85, 87, 89, 90, 93, 95, 96, 97, 98, 99, 100, 1, 2, 5, 6, 7, 8, 9, 10, 12, 13, 14, 15, 18, 19, 20, 21, 23, 26, 28, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 43, 44, 45, 46, 47, 48, 49, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 65, 66, 67, 68, 69, 70, 71, 73, 74, 75, 76, 77, 80, 82, 83, 84, 85, 86, 87, 89, 90, 91, 92, 93, 95, 97, 98, 100, 3, 4, 5, 6, 7, 8, 9, 12, 13, 14, 15, 18, 20, 21, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 41, 42, 43, 44, 48, 49, 51, 52, 53, 54, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 68, 71, 72, 73, 74, 75, 76, 78, 79, 80, 82, 83, 84, 85, 86, 87, 88, 89, 90, 92, 94, 95, 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57, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 76, 77, 78, 79, 82, 83, 84, 86, 87, 89, 90, 91, 92, 94, 95, 96, 97, 98, 1, 2, 3, 5, 7, 8, 9, 10, 11, 13, 14, 15, 16, 17, 19, 21, 22, 23, 24, 25, 26, 28, 29, 30, 31, 32, 37, 38, 39, 40, 43, 44, 45, 46, 47, 48, 49, 50, 53, 54, 55, 56, 57, 58, 59, 60, 61, 63, 65, 66, 69, 70, 71, 74, 75, 76, 77, 78, 80, 81, 83, 84, 86, 88, 91, 92, 93, 94, 95, 97, 98, 99, 1, 3, 4, 5, 6, 7, 8, 9, 10, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 23, 24, 25, 26, 27, 29, 30, 31, 32, 33, 34, 35, 36, 37, 39, 40, 41, 43, 44, 45, 46, 47, 48, 49, 50, 53, 54, 56, 57, 58, 59, 60, 61, 62, 63, 65, 66, 68, 69, 70, 71, 73, 75, 76, 80, 81, 84, 85, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 99, 2, 3, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 23, 25, 27, 28, 30, 31, 33, 34, 35, 36, 37, 38, 40, 41, 42, 43, 45, 46, 47, 48, 52, 56, 57, 58, 60, 61, 62, 65, 66, 67, 68, 69, 72, 73, 75, 77, 78, 79, 80, 82, 83, 84, 85, 87, 88, 90, 91, 92, 93, 94, 95, 96, 98, 99, 1, 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50, 51, 52, 54, 55, 56, 57, 59, 61, 62, 64, 65, 68, 69, 70, 71, 72, 73, 75, 76, 77, 78, 79, 80, 81, 83, 85, 86, 88, 89, 90, 93, 94, 95, 96, 97, 99, 1, 2, 3, 5, 7, 9, 10, 11, 13, 14, 15, 16, 17, 18, 20, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 43, 46, 47, 48, 50, 51, 52, 53, 54, 56, 57, 58, 59, 61, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 75, 76, 77, 78, 79, 80, 81, 83, 84, 85, 86, 87, 88, 89, 90, 91, 93, 94, 95, 96, 97, 98, 99, 100, 1, 2, 5, 7, 8, 9, 10, 11, 12, 13, 15, 17, 18, 19, 20, 21, 23, 24, 25, 27, 29, 30, 31, 32, 33, 34, 36, 37, 38, 39, 41, 45, 46, 48, 49, 50, 51, 53, 54, 55, 56, 57, 61, 62, 63, 64, 65, 66, 67, 68, 69, 72, 73, 74, 75, 76, 77, 80, 82, 83, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 1, 2, 3, 4, 5, 6, 7, 8, 10, 11, 12, 13, 14, 16, 19, 22, 26, 27, 28, 29, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 46, 47, 48, 49, 50, 51, 53, 54, 55, 57, 58, 59, 60, 62, 63, 64, 65, 66, 68, 70, 71, 72, 73, 74, 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