Add precomputed results for p=37
Browse files- .gitattributes +13 -0
- precomputed_results/p_037/p037_dft_heatmap_in.png +0 -0
- precomputed_results/p_037/p037_dft_heatmap_out.png +0 -0
- precomputed_results/p_037/p037_grokk_abs_phase_diff.png +0 -0
- precomputed_results/p_037/p037_grokk_acc.json +1 -0
- precomputed_results/p_037/p037_grokk_acc.png +0 -0
- precomputed_results/p_037/p037_grokk_avg_ipr.png +0 -0
- precomputed_results/p_037/p037_grokk_decoded_weights_dynamic.png +3 -0
- precomputed_results/p_037/p037_grokk_epoch_data.json +1 -0
- precomputed_results/p_037/p037_grokk_loss.json +0 -0
- precomputed_results/p_037/p037_grokk_loss.png +0 -0
- precomputed_results/p_037/p037_grokk_memorization_accuracy.png +3 -0
- precomputed_results/p_037/p037_grokk_memorization_common_to_rare.png +3 -0
- precomputed_results/p_037/p037_lineplot_in.png +3 -0
- precomputed_results/p_037/p037_lineplot_out.png +3 -0
- precomputed_results/p_037/p037_logits_interactive.json +1 -0
- precomputed_results/p_037/p037_lottery_beta_contour.png +0 -0
- precomputed_results/p_037/p037_lottery_mech_magnitude.png +3 -0
- precomputed_results/p_037/p037_lottery_mech_phase.png +3 -0
- precomputed_results/p_037/p037_magnitude_distribution.png +0 -0
- precomputed_results/p_037/p037_metadata.json +88 -0
- precomputed_results/p_037/p037_neuron_spectra.json +1 -0
- precomputed_results/p_037/p037_output_logits.png +3 -0
- precomputed_results/p_037/p037_overview.json +1 -0
- precomputed_results/p_037/p037_overview_loss_ipr.png +3 -0
- precomputed_results/p_037/p037_overview_phase_scatter.png +0 -0
- precomputed_results/p_037/p037_phase_align_approx1.png +3 -0
- precomputed_results/p_037/p037_phase_align_approx2.png +3 -0
- precomputed_results/p_037/p037_phase_align_quad.png +0 -0
- precomputed_results/p_037/p037_phase_align_relu.png +0 -0
- precomputed_results/p_037/p037_phase_distribution.png +0 -0
- precomputed_results/p_037/p037_phase_relationship.png +0 -0
- precomputed_results/p_037/p037_single_freq_quad.png +3 -0
- precomputed_results/p_037/p037_single_freq_relu.png +3 -0
- precomputed_results/p_037/p037_training_log.json +0 -0
.gitattributes
CHANGED
|
@@ -128,3 +128,16 @@ precomputed_results/p_033/p033_phase_align_approx2.png filter=lfs diff=lfs merge
|
|
| 128 |
precomputed_results/p_033/p033_phase_align_quad.png filter=lfs diff=lfs merge=lfs -text
|
| 129 |
precomputed_results/p_033/p033_single_freq_quad.png filter=lfs diff=lfs merge=lfs -text
|
| 130 |
precomputed_results/p_033/p033_single_freq_relu.png filter=lfs diff=lfs merge=lfs -text
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 128 |
precomputed_results/p_033/p033_phase_align_quad.png filter=lfs diff=lfs merge=lfs -text
|
| 129 |
precomputed_results/p_033/p033_single_freq_quad.png filter=lfs diff=lfs merge=lfs -text
|
| 130 |
precomputed_results/p_033/p033_single_freq_relu.png filter=lfs diff=lfs merge=lfs -text
|
| 131 |
+
precomputed_results/p_037/p037_grokk_decoded_weights_dynamic.png filter=lfs diff=lfs merge=lfs -text
|
| 132 |
+
precomputed_results/p_037/p037_grokk_memorization_accuracy.png filter=lfs diff=lfs merge=lfs -text
|
| 133 |
+
precomputed_results/p_037/p037_grokk_memorization_common_to_rare.png filter=lfs diff=lfs merge=lfs -text
|
| 134 |
+
precomputed_results/p_037/p037_lineplot_in.png filter=lfs diff=lfs merge=lfs -text
|
| 135 |
+
precomputed_results/p_037/p037_lineplot_out.png filter=lfs diff=lfs merge=lfs -text
|
| 136 |
+
precomputed_results/p_037/p037_lottery_mech_magnitude.png filter=lfs diff=lfs merge=lfs -text
|
| 137 |
+
precomputed_results/p_037/p037_lottery_mech_phase.png filter=lfs diff=lfs merge=lfs -text
|
| 138 |
+
precomputed_results/p_037/p037_output_logits.png filter=lfs diff=lfs merge=lfs -text
|
| 139 |
+
precomputed_results/p_037/p037_overview_loss_ipr.png filter=lfs diff=lfs merge=lfs -text
|
| 140 |
+
precomputed_results/p_037/p037_phase_align_approx1.png filter=lfs diff=lfs merge=lfs -text
|
| 141 |
+
precomputed_results/p_037/p037_phase_align_approx2.png filter=lfs diff=lfs merge=lfs -text
|
| 142 |
+
precomputed_results/p_037/p037_single_freq_quad.png filter=lfs diff=lfs merge=lfs -text
|
| 143 |
+
precomputed_results/p_037/p037_single_freq_relu.png filter=lfs diff=lfs merge=lfs -text
|
precomputed_results/p_037/p037_dft_heatmap_in.png
ADDED
|
precomputed_results/p_037/p037_dft_heatmap_out.png
ADDED
|
precomputed_results/p_037/p037_grokk_abs_phase_diff.png
ADDED
|
precomputed_results/p_037/p037_grokk_acc.json
ADDED
|
@@ -0,0 +1 @@
|
|
|
|
|
|
|
| 1 |
+
{"epochs": [0, 200, 400, 600, 800, 1000, 1200, 1400, 1600, 1800, 2000, 2200, 2400, 2600, 2800, 3000, 3200, 3400, 3600, 3800, 4000, 4200, 4400, 4600, 4800, 5000, 5200, 5400, 5600, 5800, 6000, 6200, 6400, 6600, 6800, 7000, 7200, 7400, 7600, 7800, 8000, 8200, 8400, 8600, 8800, 9000, 9200, 9400, 9600, 9800, 10000, 10200, 10400, 10600, 10800, 11000, 11200, 11400, 11600, 11800, 12000, 12200, 12400, 12600, 12800, 13000, 13200, 13400, 13600, 13800, 14000, 14200, 14400, 14600, 14800], "train_accs": [0.03313840155945419, 0.36062378167641324, 0.7397660818713451, 0.7436647173489279, 0.7807017543859649, 0.9025341130604289, 0.9892787524366472, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], "test_accs": [0.029154518950437316, 0.0, 0.0029154518950437317, 0.0029154518950437317, 0.10495626822157435, 0.446064139941691, 0.685131195335277, 0.717201166180758, 0.717201166180758, 0.717201166180758, 0.717201166180758, 0.717201166180758, 0.7288629737609329, 0.7405247813411079, 0.7755102040816326, 0.8104956268221575, 0.8454810495626822, 0.8862973760932945, 0.892128279883382, 0.9271137026239067, 0.956268221574344, 0.967930029154519, 0.9737609329446064, 0.9737609329446064, 0.9737609329446064, 0.9737609329446064, 0.9737609329446064, 0.9737609329446064, 0.9737609329446064, 0.9766763848396501, 0.9825072886297376, 0.9825072886297376, 0.9854227405247813, 0.9883381924198251, 0.9912536443148688, 0.9912536443148688, 0.9912536443148688, 0.9912536443148688, 0.9912536443148688, 0.9912536443148688, 0.9912536443148688, 0.9941690962099126, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], "stage1_end": 1091, "stage2_end": 3965}
|
precomputed_results/p_037/p037_grokk_acc.png
ADDED
|
precomputed_results/p_037/p037_grokk_avg_ipr.png
ADDED
|
precomputed_results/p_037/p037_grokk_decoded_weights_dynamic.png
ADDED
|
Git LFS Details
|
precomputed_results/p_037/p037_grokk_epoch_data.json
ADDED
|
@@ -0,0 +1 @@
|
|
|
|
|
|
|
| 1 |
+
{"prime": 37, "epochs": [0, 1600, 3200, 4800, 6400, 8200, 9800, 11400, 13000, 14800], "grids": [[[0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], [0.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], [1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], [0.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], [1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]], [[1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 0.0, 1.0, 0.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 0.0, 1.0, 1.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 0.0, 1.0, 1.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 0.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 0.0, 1.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 0.0, 1.0, 1.0, 1.0, 0.0, 1.0, 1.0, 1.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 0.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 0.0, 1.0, 1.0, 1.0], [1.0, 1.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0, 0.0, 1.0, 1.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 0.0, 1.0, 1.0, 1.0, 1.0, 0.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 0.0, 1.0, 1.0, 0.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 0.0, 1.0, 1.0, 1.0, 1.0, 0.0, 1.0], [1.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 0.0, 1.0, 1.0, 1.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 0.0, 1.0, 1.0], [1.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 0.0, 1.0, 0.0, 1.0, 0.0, 1.0, 1.0, 1.0, 1.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 0.0, 1.0, 1.0, 1.0, 1.0, 0.0], [1.0, 0.0, 1.0, 1.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 0.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 0.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 0.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 0.0, 1.0, 1.0, 1.0, 1.0, 0.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 0.0, 1.0, 1.0, 1.0, 1.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0, 0.0, 1.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 0.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 0.0, 1.0, 1.0, 1.0, 1.0, 0.0, 1.0, 1.0, 1.0, 1.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 0.0, 1.0, 1.0, 0.0, 1.0, 1.0, 0.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 0.0, 1.0, 1.0, 1.0, 0.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 0.0, 0.0, 0.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 0.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 0.0, 1.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0]], [[1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 0.0, 1.0, 1.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 0.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 0.0, 1.0, 1.0, 1.0, 0.0, 1.0, 1.0, 1.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 0.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 0.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 0.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 0.0, 1.0, 1.0, 1.0, 1.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 0.0, 1.0, 1.0, 1.0, 1.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 0.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 0.0, 1.0, 1.0, 1.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 0.0, 0.0, 0.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 0.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0]], [[1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 0.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0]], [[1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 0.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0]], [[1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 0.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0]], [[1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0]], [[1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0]], [[1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0]], [[1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0]]]}
|
precomputed_results/p_037/p037_grokk_loss.json
ADDED
|
The diff for this file is too large to render.
See raw diff
|
|
|
precomputed_results/p_037/p037_grokk_loss.png
ADDED
|
precomputed_results/p_037/p037_grokk_memorization_accuracy.png
ADDED
|
Git LFS Details
|
precomputed_results/p_037/p037_grokk_memorization_common_to_rare.png
ADDED
|
Git LFS Details
|
precomputed_results/p_037/p037_lineplot_in.png
ADDED
|
Git LFS Details
|
precomputed_results/p_037/p037_lineplot_out.png
ADDED
|
Git LFS Details
|
precomputed_results/p_037/p037_logits_interactive.json
ADDED
|
@@ -0,0 +1 @@
|
|
|
|
|
|
|
| 1 |
+
{"pairs": [[0, 0], [1, 0], [2, 0], [3, 0], [4, 0], [5, 0], [6, 0], [7, 0], [8, 0], [9, 0], [10, 0], [11, 0], [12, 0], [13, 0], [14, 0], [15, 0], [16, 0], [17, 0], [18, 0], [19, 0], [20, 0], [21, 0], [22, 0], [23, 0], [24, 0], [25, 0], [26, 0], [27, 0], [28, 0], [29, 0], [30, 0], [31, 0], [32, 0], [33, 0], [34, 0], [35, 0], [36, 0]], "correct_answers": [0, 1, 2, 3, 4, 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, 32, 33, 34, 35, 36], "logits": [[12.357758522033691, 0.4969371557235718, 0.9151979684829712, -0.18450677394866943, 0.5200588703155518, 1.028922438621521, 0.5471457839012146, 1.1407341957092285, 1.8259084224700928, 0.8878498673439026, 1.3340331315994263, 1.1761863231658936, 0.5788609385490417, 1.2495150566101074, 1.4811289310455322, 1.2546383142471313, 0.8634356260299683, 0.35490989685058594, 1.6659119129180908, 0.11838304996490479, 0.6466452479362488, 0.7122107148170471, 1.3800960779190063, 0.7985303401947021, 1.4581457376480103, 1.2105344533920288, 1.0610737800598145, 0.4949749708175659, 1.6176261901855469, 1.0565969944000244, 1.0177605152130127, 0.6274569630622864, 0.4672725200653076, 0.05652296543121338, 0.9092845916748047, 0.8264232873916626, 0.32622218132019043], [2.3318138122558594, 14.115484237670898, 2.6415491104125977, -1.3695921897888184, -0.0234391987323761, -0.07070448994636536, 0.4853842854499817, 0.22025269269943237, 0.9403423070907593, 0.14016908407211304, 1.0477021932601929, 0.7547585368156433, 0.0807497501373291, 1.161034107208252, 0.54862380027771, 0.6024328470230103, 0.4730307459831238, 0.31740331649780273, -0.27589869499206543, 0.025284111499786377, -0.5552940368652344, -0.28887495398521423, 0.386860728263855, 1.244951844215393, 0.7122845649719238, 0.8077174425125122, -0.596028208732605, 0.9716118574142456, 1.1507039070129395, 0.9538217782974243, 0.6987217664718628, 0.8462690114974976, 0.8745710849761963, 0.33278176188468933, -0.9837256669998169, 0.5712118744850159, -2.7782838344573975], [3.4089393615722656, 0.7347128391265869, 14.508462905883789, 0.9338343143463135, 3.6175765991210938, 0.7023298144340515, -2.309976577758789, 0.20243674516677856, 0.8099352121353149, 1.1324677467346191, 0.07685232162475586, 0.5295961499214172, -0.028763890266418457, -0.4140411615371704, 0.3477797508239746, -0.13168227672576904, 0.22652161121368408, 0.014746785163879395, 1.2356560230255127, -0.9109132885932922, 1.486051082611084, -0.20442134141921997, 0.9850994944572449, 0.6522188186645508, 1.0097386837005615, 0.3629269599914551, 0.0014352202415466309, 0.9991958141326904, 0.8965075016021729, -0.24154087901115417, 1.0836191177368164, -0.1101233959197998, 0.36998450756073, 0.5275759100914001, -0.17184633016586304, -2.3115079402923584, -0.29234981536865234], [2.078442096710205, 0.957571804523468, 0.16516104340553284, 14.098711967468262, 0.3483630418777466, 1.5853986740112305, 1.956247329711914, -0.9505677819252014, -0.2588578760623932, -2.5257973670959473, -0.5294607877731323, 0.4307403266429901, 1.0262349843978882, -0.43481653928756714, -1.0633960962295532, 1.0528651475906372, 0.1942804455757141, 1.0920631885528564, 0.23505622148513794, 0.543228268623352, -0.24943554401397705, 0.48621702194213867, 1.5810649394989014, 0.5174362659454346, 0.893517017364502, 0.9147242307662964, -1.4575765132904053, 1.5449514389038086, 1.5773473978042603, 0.5206352472305298, 1.0566773414611816, 0.734185516834259, -0.286607027053833, -0.27832865715026855, -1.2485260963439941, 1.1910154819488525, -0.31260597705841064], [2.590893507003784, 0.586307168006897, 0.6003991365432739, 0.06587064266204834, 13.758764266967773, 0.8450747728347778, 0.06983065605163574, -0.7095820903778076, 1.4227330684661865, 0.3514627516269684, 0.09677106142044067, -0.2913263142108917, -1.9190006256103516, 0.19877171516418457, 0.3403874635696411, -0.6498174667358398, 0.5697868466377258, 0.7072083950042725, 0.990735650062561, -0.12625563144683838, 0.9345505237579346, 0.05139172077178955, 1.0022566318511963, 0.693461537361145, 0.41652441024780273, 0.2134120911359787, 0.4199972152709961, 0.12818965315818787, 0.14972719550132751, 1.2238852977752686, 0.4919013977050781, 0.731927216053009, 0.34846943616867065, -2.416978597640991, 0.16182607412338257, 0.5278856754302979, 0.7362546920776367], [2.537501811981201, -0.5750932693481445, -0.1548648476600647, 0.009088516235351562, 0.27335166931152344, 14.093204498291016, -0.23700639605522156, 0.48346760869026184, 0.3509048819541931, 0.36799657344818115, 2.3070225715637207, -0.9016048908233643, 0.09996753931045532, 0.5735610723495483, -0.46627679467201233, -2.490320920944214, -0.03329166769981384, 1.191901683807373, 0.04157191514968872, 1.1461765766143799, 1.5054314136505127, -0.2797921299934387, -0.38774287700653076, 0.5671381950378418, -0.005284905433654785, 0.39345860481262207, 0.5051195621490479, 0.6780583262443542, 0.9370465278625488, 0.7889795303344727, 0.21341073513031006, 0.9725356101989746, -1.9272065162658691, 0.7288534641265869, -0.13547569513320923, 0.8043494820594788, 1.4275411367416382], [2.9261884689331055, 0.5527455806732178, -0.0876222550868988, 0.32204726338386536, -0.09799450635910034, -0.08242475986480713, 13.961076736450195, 0.5171039700508118, 0.45054709911346436, 0.858329176902771, -1.2118176221847534, 0.6884267330169678, 2.4254660606384277, 1.1269721984863281, 0.19369348883628845, 0.8067803978919983, -0.14042949676513672, -1.2657198905944824, 1.2094048261642456, 1.1732897758483887, 1.0556271076202393, -0.22997373342514038, -0.5162369012832642, -0.08881038427352905, 0.8151470422744751, 0.98006272315979, -0.9139973521232605, 0.01931285858154297, 1.5431009531021118, 0.23491252958774567, 0.8200496435165405, -2.036515474319458, 0.40803301334381104, -0.12974226474761963, 0.12063458561897278, -0.41475480794906616, -0.3979283571243286], [2.6425557136535645, 0.9302178621292114, 1.6951055526733398, 0.8236892223358154, 0.014543935656547546, -0.7181516885757446, -0.09829533100128174, 14.20899486541748, 0.7323732376098633, 0.24892640113830566, 0.20453505218029022, -0.1265937089920044, -0.6946366429328918, -0.013134121894836426, 2.3730571269989014, -0.19030645489692688, 0.09509041905403137, 1.160585641860962, 0.8183056116104126, -0.51204514503479, 0.4003733992576599, -1.5604941844940186, 0.4928915500640869, 1.0060230493545532, 0.724261462688446, 0.32885444164276123, -0.837896466255188, -0.29220739006996155, 1.3451337814331055, 1.0350192785263062, -2.5808207988739014, 1.6737256050109863, 0.6849744319915771, -0.40728652477264404, 0.350512832403183, 0.09940355271100998, -0.14606958627700806], [1.9257938861846924, 0.28581318259239197, 0.9736707806587219, 0.7933857440948486, -1.2325494289398193, 0.03774118423461914, 0.5107824802398682, -0.08104240894317627, 14.045019149780273, 1.0895713567733765, 0.00567317008972168, -0.6139078736305237, -0.1613958179950714, 0.586245059967041, 1.1812121868133545, -1.129385232925415, 2.610597610473633, 0.22865474224090576, 0.8919573426246643, -0.22787511348724365, 1.0128756761550903, -0.13327369093894958, 1.827200174331665, 1.4299224615097046, -1.9553654193878174, 0.3589571714401245, 0.6885900497436523, 0.09966981410980225, 0.08342862129211426, -3.0643820762634277, 0.10731971263885498, 1.183154582977295, 1.5237312316894531, 1.20391845703125, -0.46411117911338806, 0.26625412702560425, 0.17533963918685913], [2.826490879058838, 0.740849494934082, -0.045473575592041016, 0.6216522455215454, 0.6951413750648499, -0.0425238162279129, 0.528994619846344, -0.6854718923568726, 0.12182074785232544, 14.353860855102539, 0.6923846006393433, -0.3030559718608856, -0.752239465713501, -0.18311089277267456, 0.11900192499160767, 0.7675988674163818, 0.09006679058074951, 0.8250404596328735, 3.103694438934326, 0.7387023568153381, -0.32537898421287537, 1.4211361408233643, 0.8866219520568848, 0.49712562561035156, 0.6535755395889282, -0.09265196323394775, 0.38904666900634766, -2.3792243003845215, -1.9599168300628662, 0.8992660641670227, 1.3536326885223389, 0.13548946380615234, 0.19350624084472656, 0.22490596771240234, 1.08359956741333, 0.06737315654754639, 0.4870043396949768], [2.7393040657043457, 0.30715346336364746, -0.3061199188232422, 0.1470867097377777, 0.5494213104248047, 0.8226618766784668, -1.2264801263809204, -0.7774620056152344, 0.011742562055587769, -0.3822113275527954, 13.735451698303223, 0.9471635222434998, 0.3503020405769348, -0.14237192273139954, 1.2395890951156616, 0.34603095054626465, -0.647662878036499, 0.3181239366531372, 0.17210257053375244, -0.30313777923583984, 2.3114118576049805, -0.14655998349189758, 0.8088461756706238, 0.6005124449729919, 1.3302944898605347, 0.3559420704841614, 0.1715126931667328, -1.5388853549957275, 0.8909204006195068, 0.05044388771057129, -2.1133296489715576, 0.9575235843658447, 0.2277895212173462, 0.3580702841281891, -0.3822704553604126, 0.413486123085022, 0.16837742924690247], [2.7763357162475586, 0.18375498056411743, 0.5660622119903564, 0.2890264391899109, 0.7805362939834595, -0.14628124237060547, 0.3476838171482086, -0.5294632911682129, -0.7811986804008484, -0.04553796350955963, 0.14045915007591248, 14.04475212097168, -0.4690852761268616, 1.144949197769165, 0.977677583694458, 0.12439638376235962, -0.03877830505371094, -0.004259884357452393, 0.49832838773727417, 0.012939095497131348, 1.055161476135254, -0.17076170444488525, 2.7661218643188477, 0.6538068056106567, -0.18423712253570557, 0.35888224840164185, -2.5732932090759277, -0.05110853910446167, 0.8799307346343994, 0.8791045546531677, 1.8090535402297974, -0.28083404898643494, 0.21423161029815674, -2.3392090797424316, 0.935928463935852, 1.0057170391082764, 0.10391128063201904], [3.1131436824798584, -0.031092464923858643, 0.2535820007324219, 1.0258111953735352, -1.1169911623001099, -1.2439491748809814, 0.7657055258750916, 0.24551959335803986, 0.5080293416976929, 0.5370367765426636, 0.6239008903503418, 0.3878047466278076, 14.401176452636719, 1.4164881706237793, -0.17888528108596802, -0.47877466678619385, -1.3269741535186768, 0.9687756299972534, 1.317036509513855, 0.24683347344398499, -0.0710638165473938, 0.15221524238586426, 0.5002483129501343, -0.15618693828582764, 1.9730700254440308, -2.3901784420013428, 0.8011833429336548, 0.8264356851577759, 1.275914192199707, 1.0588709115982056, 0.49268877506256104, 1.382056713104248, -0.14283263683319092, 0.4117612838745117, 0.24374613165855408, 0.3074300289154053, -0.8902420997619629], [2.6855504512786865, 0.830287754535675, -0.8489890098571777, -0.10872188210487366, 0.04136455059051514, -0.22421355545520782, -0.08574771881103516, 0.44352254271507263, 0.9489311575889587, -0.08107006549835205, 0.8538645505905151, 0.1656489372253418, -0.02905219793319702, 13.80849838256836, 0.7061051726341248, -0.4396088719367981, -0.867997407913208, 0.6713923215866089, 1.2598177194595337, -0.4235510230064392, 0.7201464772224426, 0.6051851511001587, 0.6452664136886597, 0.5625026226043701, -2.04795241355896, 0.185391366481781, 2.871901750564575, 0.8050615787506104, 1.4751837253570557, -0.6152966022491455, 1.1767408847808838, 0.23294568061828613, 0.0470845103263855, 0.4060823917388916, -0.4655287265777588, 0.7291281223297119, 0.04602336883544922], [2.9896433353424072, 2.1806435585021973, 0.6638830900192261, -0.36366692185401917, 0.48917871713638306, -1.9212133884429932, -0.34961241483688354, -0.1726280152797699, 0.9099912643432617, 0.3989633023738861, 0.37600213289260864, 0.22191941738128662, -0.58670973777771, 0.4811971187591553, 14.038196563720703, 0.6036333441734314, 1.1051826477050781, -0.5385806560516357, -0.6426886320114136, -0.2382277250289917, 0.24592018127441406, -0.26248130202293396, -0.08403578400611877, -2.01593017578125, 0.43354156613349915, -0.07530319690704346, 0.39379173517227173, 1.1739084720611572, 3.7611494064331055, 1.1020774841308594, -0.4432864189147949, 0.37967562675476074, 0.08734250068664551, 0.24221301078796387, 0.46795856952667236, 0.7224090099334717, 0.9429112672805786], [2.6342217922210693, 0.3970644474029541, -0.13158148527145386, 1.196114420890808, -0.4122093617916107, -0.4993290305137634, 0.061985522508621216, 0.3300597071647644, -2.566887140274048, 1.67127525806427, -0.3530123829841614, 0.1492173969745636, 0.28512656688690186, 0.8191611170768738, 0.06660199165344238, 13.94545841217041, 0.6076063513755798, 1.0737141370773315, 0.7870931625366211, -0.2193630486726761, -0.01632004976272583, -0.3010941445827484, -1.5750433206558228, 0.47587186098098755, 0.5165534615516663, 0.35237497091293335, 0.5845267176628113, 0.4647284150123596, 1.0390806198120117, 0.011025756597518921, 2.804145574569702, 0.42533111572265625, -0.4604473114013672, -0.017099648714065552, 0.05454230308532715, 0.5766662359237671, 0.9207415580749512], [2.7813267707824707, 0.15308725833892822, 0.9463909268379211, 0.4843250811100006, 0.3997253477573395, 0.8666828870773315, -0.035024046897888184, -0.3982139825820923, -0.2054484784603119, -0.04734690487384796, -0.300693154335022, -2.049422025680542, -1.0251885652542114, 0.30933013558387756, -0.08128106594085693, 0.5927373170852661, 14.076396942138672, 0.6525156497955322, 1.0000661611557007, -0.7122308015823364, -0.10991325974464417, -1.994435429573059, 1.4547375440597534, 0.2757720947265625, -0.13389986753463745, 1.3595740795135498, -0.46605241298675537, -0.30441516637802124, 1.1305485963821411, 0.38662147521972656, 0.2564007639884949, 0.8065918684005737, 3.0007522106170654, -0.6429651975631714, 0.35682499408721924, 0.6510018110275269, -0.2077236771583557], [1.6715162992477417, 0.058838486671447754, 0.2769549787044525, 0.15240871906280518, 1.1476595401763916, 1.7362723350524902, -0.9187801480293274, 0.8454532027244568, 0.16306722164154053, 0.16054916381835938, 0.7965753078460693, -0.25772157311439514, 0.740321159362793, -0.46543100476264954, -1.88530695438385, 0.10400586575269699, 0.013542771339416504, 14.40099048614502, 0.820122241973877, 0.8730576038360596, -1.77500581741333, 0.05406193435192108, 1.3979291915893555, 0.4071197509765625, 0.7336283922195435, -0.12942221760749817, -0.7795231342315674, -0.6025515794754028, 0.741226077079773, 0.5032724142074585, 0.7708426117897034, 0.8580564260482788, -0.32233715057373047, -0.1678074598312378, 2.3324990272521973, 1.569525957107544, -0.36348146200180054], [2.6109776496887207, -1.0536013841629028, 0.20177727937698364, 0.3982040286064148, 0.5436137914657593, 0.402738094329834, 0.5162602663040161, 0.9173668026924133, -0.5242588520050049, 0.7334830164909363, 0.38265371322631836, -0.45238935947418213, 0.5000081062316895, 0.9457025527954102, -0.25118863582611084, 1.0818687677383423, 0.21537566184997559, -2.3684897422790527, 13.873167037963867, -1.6722592115402222, 0.35516640543937683, 0.46393904089927673, 0.11116719245910645, 0.4557837247848511, -0.5512858033180237, 0.4640190601348877, -0.9872980713844299, 1.5909258127212524, 0.7156860828399658, 0.010310053825378418, 0.8588675856590271, -0.18125653266906738, 0.7590151429176331, 0.9462628364562988, -0.056862860918045044, 0.909159779548645, 2.411409616470337], [1.6448163986206055, 3.000629425048828, 0.1290176510810852, 0.013159513473510742, -0.02623075246810913, 1.0940887928009033, 0.4258699417114258, 0.6291958093643188, -0.05204649269580841, -0.10881894826889038, 0.5356193780899048, 0.4255319833755493, 0.22229674458503723, 1.5800244808197021, 0.6506354808807373, 0.18467330932617188, 0.3028537631034851, -0.05744290351867676, -1.673067569732666, 14.284648895263672, -1.1854947805404663, -0.7642985582351685, 1.2901968955993652, 0.5018728375434875, 1.7054306268692017, -0.5306852459907532, -0.5499200820922852, 1.008771300315857, 1.601036548614502, 0.14236265420913696, -0.029432058334350586, 0.5847064256668091, 0.17354869842529297, 0.6751785278320312, 0.00974571704864502, 0.31018009781837463, 0.16693943738937378], [2.133413553237915, -0.23025774955749512, 0.2728813588619232, 1.6572442054748535, 0.8239319324493408, 0.03770184516906738, -1.1066902875900269, 0.29783886671066284, -0.2960270643234253, 0.6312886476516724, 0.8662571907043457, 1.1063352823257446, -0.46619296073913574, 0.33792638778686523, 0.7323232889175415, 0.07085821032524109, -0.3906897008419037, -2.498500108718872, 0.9446582794189453, 0.220170259475708, 13.914358139038086, 0.27237430214881897, 0.7281579971313477, -1.390289306640625, -0.6880725026130676, 1.2485648393630981, -0.18145322799682617, 0.45095884799957275, 1.2398478984832764, 0.10319244861602783, 0.9864442944526672, 0.24814224243164062, 0.5103007555007935, -1.0145447254180908, -0.07231363654136658, 1.1879863739013672, -0.31150439381599426], [3.2521872520446777, 0.1046249270439148, 0.32031625509262085, 0.8872405290603638, 0.16316097974777222, 2.4327921867370605, 0.111824631690979, -0.8275697231292725, 0.04932026565074921, 0.42534542083740234, 0.9069156646728516, 0.022653982043266296, -0.4644395112991333, 0.10797673463821411, 0.9576265811920166, 0.8942773342132568, -2.5599846839904785, 0.04934084415435791, 0.7839722037315369, -0.5944916009902954, 1.6384942531585693, 14.438626289367676, 1.994014024734497, 0.20920491218566895, 0.26385366916656494, 0.10699860751628876, -1.5015658140182495, 0.26424407958984375, -0.21866631507873535, -0.5614567995071411, -0.24622321128845215, 0.9886143207550049, -0.2373795509338379, 1.1907474994659424, -0.029482990503311157, 0.27195504307746887, 0.2860269546508789], [3.180647373199463, -0.6457131505012512, 0.7202924489974976, -0.06115454435348511, -0.1622600555419922, 0.834499716758728, -0.23497191071510315, 1.6195570230484009, 0.38571810722351074, 1.9320874214172363, -0.060195207595825195, 0.9702048301696777, -0.5942116975784302, -0.16290903091430664, 0.890933632850647, -2.2884111404418945, 0.5114015936851501, 0.7110629081726074, 0.6699318289756775, 0.7488135695457458, -0.023254334926605225, 0.7174583673477173, 13.877285957336426, 1.8332362174987793, 0.4284975528717041, 0.01770603656768799, 0.03942984342575073, 0.06553608179092407, 0.08345383405685425, -2.6324269771575928, 0.5601801872253418, 0.7826070785522461, -1.480665922164917, -0.6344459652900696, -0.005908071994781494, 0.43097394704818726, 0.5322237610816956], [2.666109085083008, 1.7742608785629272, 0.6547048091888428, -0.14323535561561584, 0.08214882016181946, -0.9644973278045654, 0.47855424880981445, 0.5581380724906921, 1.4653997421264648, 2.612816333770752, 0.04094374179840088, 0.5925941467285156, 0.5051943063735962, 0.19763970375061035, -1.7600154876708984, 0.8258870840072632, 0.47027158737182617, 0.3310443162918091, 1.0843486785888672, -1.180694580078125, 0.40349501371383667, -1.314882516860962, 0.9881094694137573, 14.173219680786133, 1.8313390016555786, 0.6286509037017822, -0.41085177659988403, -1.1716885566711426, 1.1136329174041748, 0.6321137547492981, 0.492855966091156, -0.3790140151977539, -1.8457649946212769, 0.0480189323425293, 0.030301377177238464, 1.1463803052902222, 0.2681049704551697], [2.7032361030578613, 0.7645683884620667, 0.28271257877349854, 0.9353882074356079, -0.09610402584075928, 0.6627981662750244, 0.05598822236061096, -0.11865568161010742, 0.42651617527008057, 1.0000815391540527, 0.6669270992279053, 2.6737236976623535, 0.3544139564037323, -1.4691126346588135, 0.8367053270339966, 0.990693211555481, -0.03948688507080078, 0.2757715582847595, 1.4091616868972778, 0.1196906566619873, -1.0074201822280884, -0.6019777655601501, 1.0448065996170044, 0.11749684810638428, 13.993325233459473, 1.0391169786453247, -1.1306698322296143, 0.3696857988834381, 0.09829956293106079, 0.6983940601348877, 0.14282670617103577, 0.0990288257598877, 0.017383694648742676, 0.5884240865707397, -0.9432626366615295, -1.4243147373199463, 1.2395622730255127], [3.6719422340393066, -1.5870988368988037, 0.48297685384750366, 0.894503653049469, 0.14622092247009277, 0.31193068623542786, 0.6671140193939209, -0.15447403490543365, 0.3960533142089844, 1.357416033744812, 1.374401569366455, -0.4671250581741333, -1.3464775085449219, 2.049923896789551, 0.34738677740097046, 0.9803571701049805, 0.528948187828064, -0.4139242172241211, 0.8391996622085571, 0.610931932926178, 1.6867932081222534, -0.8880002498626709, 1.003218650817871, -0.16111809015274048, 0.3973393440246582, 13.92422103881836, 0.6964777708053589, 0.9749496579170227, -0.5577292442321777, -0.45941397547721863, 0.2810061573982239, 0.10372716188430786, 0.4751548171043396, -0.6624348163604736, 0.01788511872291565, -0.6211062669754028, 0.1375805139541626], [2.459973096847534, 1.325507640838623, -0.4956299066543579, 0.05580291152000427, -1.1363344192504883, -0.2973541021347046, 0.019184231758117676, 0.3432174623012543, 1.3791322708129883, 0.00884777307510376, -0.2879214286804199, -1.044756293296814, 0.9815486669540405, 1.275508165359497, 1.335595965385437, 3.405961513519287, -0.31935152411460876, 0.6492640972137451, 0.7033284306526184, -0.5135472416877747, 0.04636937379837036, 0.07352356612682343, 0.8099310994148254, -0.5662856101989746, 0.3115578889846802, 0.9857339859008789, 14.112451553344727, -0.0898122787475586, 0.7522726058959961, -0.1666642427444458, -0.33517834544181824, 0.5655678510665894, -0.4750525951385498, -0.29757368564605713, -0.5230259895324707, 1.243912935256958, -0.5258676409721375], [2.72590708732605, 0.1909157633781433, 0.8910962343215942, 1.0822356939315796, 1.8112670183181763, 0.5980731844902039, 0.35751140117645264, -2.386909008026123, -0.6308257579803467, 0.38442087173461914, -2.210460901260376, 1.1843390464782715, 0.5598103404045105, -0.3578113913536072, 2.262078285217285, -0.16827058792114258, 0.5647664070129395, 1.7135275602340698, 0.8524174094200134, -0.6502396464347839, 0.22080153226852417, -0.06986254453659058, 0.2625126838684082, 0.10067832469940186, 0.9312232136726379, -0.3687626123428345, -0.807466447353363, 14.260729789733887, 1.3047900199890137, -0.9093441963195801, 0.6444082260131836, -0.40080514550209045, 0.754321813583374, 0.5276552438735962, -0.18658891320228577, -0.30091357231140137, -0.4139772653579712], [3.1096858978271484, 0.6632106304168701, -0.5670570135116577, 1.235723614692688, 0.7494155168533325, 0.6914235353469849, 0.9483598470687866, 0.2952882647514343, 0.03006434440612793, -2.077881336212158, -2.0250022411346436, 0.6374921798706055, 0.7175682783126831, 1.6443586349487305, 0.7332006692886353, 1.7721288204193115, -0.11268973350524902, 1.1563458442687988, 0.4487167000770569, 2.666170835494995, 0.179801344871521, -0.31288373470306396, -0.6307480335235596, 0.894972562789917, 0.9482818245887756, -0.1384270191192627, -0.7515037059783936, 0.35099655389785767, 14.076467514038086, 0.05019700527191162, 0.2833902835845947, 0.4556609094142914, -1.6396965980529785, 0.6060888767242432, -1.2954320907592773, 0.3037503957748413, 0.2763804793357849], [1.8494635820388794, 0.8500045537948608, 0.7691550254821777, 0.4776769280433655, 1.1932566165924072, 0.7727723717689514, 0.8207112550735474, 0.0036713778972625732, -2.0336222648620605, -0.27741312980651855, 0.8922035694122314, 0.37998008728027344, 0.7329092025756836, -1.1207616329193115, 0.7910304665565491, -0.03738410770893097, 0.6944078803062439, 0.7765533924102783, 1.2306748628616333, -0.5698541402816772, -0.07364416122436523, 1.4076838493347168, 0.15248405933380127, 1.0864508152008057, 0.05285012722015381, -0.9130380153656006, -0.625625729560852, -1.0651527643203735, 0.9646247625350952, 13.81979751586914, 0.9676839113235474, -0.08196669816970825, 0.5528894662857056, -0.16698721051216125, 0.7545583844184875, 0.5765671730041504, -0.1192178726196289], [2.717543601989746, 0.7582244873046875, 0.03526806831359863, 0.15140226483345032, 0.3518977761268616, 1.2515192031860352, 0.1490650177001953, -1.5613770484924316, 0.7016078233718872, 0.3386099934577942, 0.28860771656036377, 0.8835896849632263, 0.030437052249908447, 0.4294940233230591, 1.0557969808578491, 0.6190000772476196, -2.2446725368499756, 1.4720823764801025, 1.0499162673950195, -0.005630850791931152, -0.09890270233154297, -0.21373173594474792, 0.19240832328796387, 2.7060718536376953, -0.48084282875061035, 0.04395437240600586, -1.3206955194473267, -0.1441338062286377, 0.8153806924819946, 0.6473416686058044, 13.954837799072266, 0.6709117889404297, 1.0631598234176636, -0.18921324610710144, -0.3017970621585846, 0.7068856954574585, -0.5566236972808838], [3.187302827835083, -0.11159300804138184, 0.859889030456543, 0.37829989194869995, -1.005717158317566, 0.15536779165267944, -1.8581252098083496, 0.7856470942497253, 1.3480085134506226, 0.5649071931838989, -0.3485027551651001, 0.18879926204681396, 0.8501323461532593, 0.2105799913406372, 0.11253535747528076, 0.2773783206939697, -0.4343007802963257, 0.8533905744552612, 1.0483894348144531, -1.4087804555892944, 0.3957343101501465, 0.22514992952346802, 0.4390789270401001, 0.16939985752105713, 0.4975215196609497, 3.1925830841064453, 0.2148001790046692, -1.2490791082382202, 0.8556541800498962, -0.5075469017028809, 0.8948537707328796, 14.172348022460938, 0.25046390295028687, 0.5312464833259583, -1.055676817893982, -0.7656755447387695, -0.16403639316558838], [1.5502022504806519, -0.09538555145263672, 1.0145907402038574, 0.7768135666847229, -0.12066489458084106, -2.9201860427856445, -0.41648954153060913, 1.3766629695892334, 0.0898527204990387, 0.8686937093734741, 0.7155622243881226, 0.6691075563430786, -0.3960176408290863, 0.6528323888778687, 0.5522382855415344, 0.47650134563446045, 0.5499385595321655, 0.3853587508201599, 1.2803428173065186, 1.0225982666015625, 0.6308091878890991, -0.13425804674625397, -2.000119209289551, 0.038935959339141846, -0.4791194200515747, -0.05403190851211548, 0.5295971035957336, 2.568679094314575, 0.029102593660354614, 0.2659626603126526, 0.5184835195541382, -0.03450247645378113, 13.786945343017578, 0.5105196833610535, 0.4767659902572632, 0.6215693354606628, 0.3470977544784546], [2.224752187728882, 0.8938634395599365, 0.4938755929470062, 0.5177348852157593, -2.2704789638519287, 0.7129903435707092, 0.6003073453903198, 0.0711762011051178, 1.0872910022735596, -0.24722933769226074, 0.43591928482055664, -0.3438407778739929, -0.5397782325744629, -0.16212809085845947, 0.7914729118347168, -0.49161553382873535, -0.15370869636535645, 0.11489593982696533, 0.7443771362304688, 0.07554346323013306, 1.048980712890625, 1.364787220954895, 1.015886664390564, 0.002970457077026367, 0.5909112095832825, -2.9668946266174316, -0.6296302080154419, -0.658208429813385, 0.8207003474235535, 1.9445812702178955, 0.2717190980911255, -0.45035916566848755, 0.18160176277160645, 14.090826034545898, 0.8347436189651489, 1.0908432006835938, 0.05183100700378418], [2.691714286804199, -0.5618448257446289, 0.7751452326774597, -2.8769092559814453, 0.9000349640846252, 0.7139403820037842, 0.40342316031455994, 0.599970817565918, -0.41916659474372864, 0.6033391356468201, 0.44715023040771484, 0.9744274616241455, 0.40094661712646484, 0.4798518121242523, 0.8416646122932434, 0.33296990394592285, -0.4245021939277649, 1.3627243041992188, 0.7266650199890137, -0.3238234221935272, -0.3966352939605713, 0.22604846954345703, -0.22121316194534302, 0.7090344429016113, 0.2628152370452881, 0.31918129324913025, -1.234792709350586, 0.5941669344902039, -0.5753886103630066, -0.7091987133026123, 0.5111058950424194, 1.8580436706542969, 0.24112319946289062, -0.5350698232650757, 14.284765243530273, 1.3799166679382324, -0.2861040234565735], [2.5975656509399414, 0.22018665075302124, -2.47187876701355, 0.270608127117157, 0.5826805233955383, 1.0737111568450928, 0.8951036334037781, -0.26308107376098633, 0.34763145446777344, 0.40472763776779175, 1.2635685205459595, 0.7254997491836548, 0.516294002532959, 0.4826321601867676, 0.05758625268936157, -0.21489334106445312, 1.0248749256134033, 0.22494101524353027, 0.24546045064926147, -0.6988366842269897, 0.8240094780921936, -0.15627074241638184, 1.4979406595230103, 0.8292055130004883, 0.3234117031097412, -0.3129104673862457, 0.2967710494995117, -0.16161048412322998, 0.48209714889526367, 0.37596940994262695, 0.5408880114555359, -2.7944886684417725, 0.44284284114837646, 2.7176032066345215, -0.40533238649368286, 14.179098129272461, 1.1094316244125366], [2.63188099861145, -2.531503915786743, 0.4846642017364502, 0.2507805824279785, 0.9997787475585938, 0.5823464393615723, -0.33331823348999023, 0.6708312034606934, 0.7102217674255371, 0.7045441269874573, -0.0817568302154541, 0.8794671297073364, -0.8957871794700623, 1.5820432901382446, 0.7811241149902344, -0.29748499393463135, 0.14906799793243408, 0.23137295246124268, 0.6031915545463562, -0.4264369606971741, -0.3752656579017639, 1.0076911449432373, 0.693097710609436, 1.7459607124328613, 0.6117849946022034, 0.9534640312194824, -0.7596046924591064, -0.6812067627906799, 1.0733678340911865, 0.20611459016799927, -0.17197507619857788, 0.3607044816017151, -1.0570192337036133, 0.7548760175704956, -1.8198670148849487, 2.534994602203369, 13.905803680419922]], "output_classes": [0, 1, 2, 3, 4, 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, 32, 33, 34, 35, 36]}
|
precomputed_results/p_037/p037_lottery_beta_contour.png
ADDED
|
precomputed_results/p_037/p037_lottery_mech_magnitude.png
ADDED
|
Git LFS Details
|
precomputed_results/p_037/p037_lottery_mech_phase.png
ADDED
|
Git LFS Details
|
precomputed_results/p_037/p037_magnitude_distribution.png
ADDED
|
precomputed_results/p_037/p037_metadata.json
ADDED
|
@@ -0,0 +1,88 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 1 |
+
{
|
| 2 |
+
"prime": 37,
|
| 3 |
+
"d_mlp": 1326,
|
| 4 |
+
"training_runs": {
|
| 5 |
+
"standard": {
|
| 6 |
+
"act_type": "ReLU",
|
| 7 |
+
"lr": 5e-05,
|
| 8 |
+
"weight_decay": 0,
|
| 9 |
+
"num_epochs": 5000,
|
| 10 |
+
"frac_train": 1.0,
|
| 11 |
+
"init_type": "random",
|
| 12 |
+
"init_scale": 0.1,
|
| 13 |
+
"optimizer": "AdamW"
|
| 14 |
+
},
|
| 15 |
+
"grokking": {
|
| 16 |
+
"act_type": "ReLU",
|
| 17 |
+
"lr": 0.0001,
|
| 18 |
+
"weight_decay": 2.0,
|
| 19 |
+
"num_epochs": 50000,
|
| 20 |
+
"frac_train": 0.75,
|
| 21 |
+
"init_type": "random",
|
| 22 |
+
"init_scale": 0.1,
|
| 23 |
+
"optimizer": "AdamW"
|
| 24 |
+
},
|
| 25 |
+
"quad_random": {
|
| 26 |
+
"act_type": "Quad",
|
| 27 |
+
"lr": 5e-05,
|
| 28 |
+
"weight_decay": 0,
|
| 29 |
+
"num_epochs": 5000,
|
| 30 |
+
"frac_train": 1.0,
|
| 31 |
+
"init_type": "random",
|
| 32 |
+
"init_scale": 0.1,
|
| 33 |
+
"optimizer": "AdamW"
|
| 34 |
+
},
|
| 35 |
+
"quad_single_freq": {
|
| 36 |
+
"act_type": "Quad",
|
| 37 |
+
"lr": 0.1,
|
| 38 |
+
"weight_decay": 0,
|
| 39 |
+
"num_epochs": 10000,
|
| 40 |
+
"frac_train": 1.0,
|
| 41 |
+
"init_type": "single-freq",
|
| 42 |
+
"init_scale": 0.02,
|
| 43 |
+
"optimizer": "SGD"
|
| 44 |
+
},
|
| 45 |
+
"relu_single_freq": {
|
| 46 |
+
"act_type": "ReLU",
|
| 47 |
+
"lr": 0.01,
|
| 48 |
+
"weight_decay": 0,
|
| 49 |
+
"num_epochs": 10000,
|
| 50 |
+
"frac_train": 1.0,
|
| 51 |
+
"init_type": "single-freq",
|
| 52 |
+
"init_scale": 0.002,
|
| 53 |
+
"optimizer": "SGD"
|
| 54 |
+
}
|
| 55 |
+
},
|
| 56 |
+
"final_metrics": {
|
| 57 |
+
"standard": {
|
| 58 |
+
"train_acc": 1.0,
|
| 59 |
+
"test_acc": 1.0,
|
| 60 |
+
"train_loss": 6.841742288088426e-05,
|
| 61 |
+
"test_loss": 6.841742288088426e-05
|
| 62 |
+
},
|
| 63 |
+
"grokking": {
|
| 64 |
+
"train_acc": 1.0,
|
| 65 |
+
"test_acc": 1.0,
|
| 66 |
+
"train_loss": 5.09298661199864e-06,
|
| 67 |
+
"test_loss": 0.019837966188788414
|
| 68 |
+
},
|
| 69 |
+
"quad_random": {
|
| 70 |
+
"train_acc": 1.0,
|
| 71 |
+
"test_acc": 1.0,
|
| 72 |
+
"train_loss": 1.1106381862191483e-05,
|
| 73 |
+
"test_loss": 1.1106381862191483e-05
|
| 74 |
+
},
|
| 75 |
+
"quad_single_freq": {
|
| 76 |
+
"train_acc": 1.0,
|
| 77 |
+
"test_acc": 1.0,
|
| 78 |
+
"train_loss": 3.0923116207122803,
|
| 79 |
+
"test_loss": 3.0923116207122803
|
| 80 |
+
},
|
| 81 |
+
"relu_single_freq": {
|
| 82 |
+
"train_acc": 1.0,
|
| 83 |
+
"test_acc": 1.0,
|
| 84 |
+
"train_loss": 3.6084415912628174,
|
| 85 |
+
"test_loss": 3.6084415912628174
|
| 86 |
+
}
|
| 87 |
+
}
|
| 88 |
+
}
|
precomputed_results/p_037/p037_neuron_spectra.json
ADDED
|
@@ -0,0 +1 @@
|
|
|
|
|
|
|
| 1 |
+
{"fourier_basis_names": ["Const", "cos 1", "sin 1", "cos 2", "sin 2", "cos 3", "sin 3", "cos 4", "sin 4", "cos 5", "sin 5", "cos 6", "sin 6", "cos 7", "sin 7", "cos 8", "sin 8", "cos 9", "sin 9", "cos 10", "sin 10", "cos 11", "sin 11", "cos 12", "sin 12", "cos 13", "sin 13", "cos 14", "sin 14", "cos 15", "sin 15", "cos 16", "sin 16", "cos 17", "sin 17", "cos 18", "sin 18"], "neurons": {"neuron_0": {"global_index": 1248, "dominant_freq": 1, "fourier_magnitudes_in": [0.012395553290843964, 1.2017841339111328, 0.07203095406293869, 0.018333297222852707, 0.03413234278559685, 0.3151422142982483, 0.06649454683065414, 0.014859507791697979, 0.02660563960671425, 0.15226326882839203, 0.06411657482385635, 0.013249917887151241, 0.020388955250382423, 0.05812615901231766, 0.02781222015619278, 0.0007337905699387193, 0.013744780793786049, 0.008810989558696747, 0.02422710880637169, 0.003753840457648039, 0.004652811214327812, 0.018893565982580185, 0.031359609216451645, 0.011740542016923428, 0.0349125973880291, 0.02378554455935955, 0.033697597682476044, 0.0012560795294120908, 0.03383063152432442, 0.03767764940857887, 0.05164606124162674, 0.013788137584924698, 0.020424149930477142, 0.0392371267080307, 0.0661609098315239, 0.024631718173623085, 0.033474937081336975], "fourier_magnitudes_out": [0.035195570439100266, 1.256878137588501, 0.12706805765628815, 0.0598270483314991, 0.016972217708826065, 0.3251686096191406, 0.136061891913414, 0.015160554088652134, 0.0020767671521753073, 0.12861134111881256, 0.18060247600078583, 0.01107583288103342, 0.005723464302718639, 0.049838095903396606, 0.15733233094215393, 0.03090793266892433, 0.027463508769869804, 0.017549656331539154, 0.12407002598047256, 0.026565762236714363, 0.05833599716424942, 0.015512240119278431, 0.08092962950468063, 0.03467540442943573, 0.012940563261508942, 0.08146160840988159, 0.05374763906002045, 0.06316719949245453, 0.04632909223437309, 0.08758608996868134, 0.017431549727916718, 0.07164783030748367, 0.002046226989477873, 0.12595117092132568, 0.01586952805519104, 0.07753761112689972, 0.013456243090331554]}, "neuron_1": {"global_index": 1018, "dominant_freq": 2, "fourier_magnitudes_in": [0.024010928347706795, 0.033253319561481476, 0.05475355312228203, 0.1846953183412552, 1.2159298658370972, 0.02730081044137478, 0.0059335967525839806, 0.0031147687695920467, 0.003565899096429348, 0.07446963340044022, 0.04728339985013008, 0.10407085716724396, 0.27280083298683167, 0.013086370192468166, 0.03377440571784973, 0.0187729150056839, 0.007103148847818375, 0.10814429819583893, 0.008716798387467861, 0.016429264098405838, 0.13373373448848724, 0.05578553304076195, 0.01269917655736208, 0.013465686701238155, 0.09408021718263626, 0.14316464960575104, 0.0566081628203392, 0.0402945838868618, 0.12682877480983734, 0.08295433223247528, 0.022213367745280266, 0.030436310917139053, 0.09157034754753113, 0.06677557528018951, 0.09866876155138016, 0.0470791719853878, 0.11052600294351578], "fourier_magnitudes_out": [0.023569127544760704, 0.004636680241674185, 0.05011017620563507, 1.2275511026382446, 0.32166939973831177, 0.06333491206169128, 0.040086571127176285, 0.02091033011674881, 0.020762860774993896, 0.004467906430363655, 0.031390540301799774, 0.30121663212776184, 0.2579970061779022, 0.0821213349699974, 0.029334215447306633, 0.017456606030464172, 0.038320835679769516, 0.02910829335451126, 0.03443024680018425, 0.06530997902154922, 0.20384986698627472, 0.05580025166273117, 0.022809965535998344, 0.012827281840145588, 0.0568658784031868, 0.009804350323975086, 0.02533234842121601, 0.016608424484729767, 0.18274067342281342, 0.09219328314065933, 0.08311574906110764, 0.01358861569315195, 0.03057156503200531, 0.014338981360197067, 0.03328440338373184, 0.08084940910339355, 0.10881104320287704]}, "neuron_2": {"global_index": 149, "dominant_freq": 3, "fourier_magnitudes_in": [0.026791786774992943, 0.06853536516427994, 0.0030606803484261036, 0.0441262386739254, 0.0360737070441246, 0.17327328026294708, 1.2530856132507324, 0.038499001413583755, 0.005994531325995922, 0.021138453856110573, 0.008238010108470917, 0.04784317687153816, 0.07739336788654327, 0.11249395459890366, 0.02961241640150547, 0.05165330320596695, 0.05699079483747482, 0.11641016602516174, 0.2662563920021057, 0.00860733725130558, 0.009744273498654366, 0.009131932631134987, 0.015622071921825409, 0.0677199587225914, 0.12170857191085815, 0.12728989124298096, 0.07893694192171097, 0.053422972559928894, 0.06396305561065674, 0.06170745939016342, 0.061595261096954346, 0.011302709579467773, 0.005151881370693445, 0.026084622368216515, 0.044426172971725464, 0.13023126125335693, 0.11153591424226761], "fourier_magnitudes_out": [0.023461924865841866, 0.03734375908970833, 0.03242861479520798, 0.0021549712400883436, 0.01658027246594429, 1.2278223037719727, 0.3776080012321472, 0.030233632773160934, 0.03286081552505493, 0.011414242908358574, 0.03348727896809578, 0.05387013033032417, 0.007968658581376076, 0.04422228783369064, 0.011818486265838146, 0.0248581413179636, 0.04395098611712456, 0.203636035323143, 0.287396103143692, 0.05767761915922165, 0.002699079690501094, 0.017643701285123825, 0.027575107291340828, 0.025740960612893105, 0.03103756532073021, 0.03365366905927658, 0.030570823699235916, 0.0313560925424099, 0.0304415225982666, 0.005967430770397186, 0.16187773644924164, 0.0567210353910923, 0.0783802717924118, 0.03382091969251633, 0.015209753066301346, 0.02714088186621666, 0.04387372359633446]}, "neuron_3": {"global_index": 147, "dominant_freq": 4, "fourier_magnitudes_in": [0.013232250697910786, 0.04004340246319771, 0.0033355921041220427, 0.1155247837305069, 0.01751882955431938, 0.038985829800367355, 0.07637359201908112, 1.22691810131073, 0.16465626657009125, 0.011769475415349007, 0.05262508988380432, 0.13251625001430511, 0.07266966253519058, 0.08539737015962601, 0.05952020362019539, 0.04010358452796936, 0.010626474395394325, 0.0697125792503357, 0.02050911821424961, 0.06345736235380173, 0.10777821391820908, 0.022458869963884354, 0.06916150450706482, 0.2856157124042511, 0.17218969762325287, 0.01981465145945549, 0.006724307779222727, 0.09749189019203186, 0.002719074720516801, 0.10335272550582886, 0.05790683999657631, 0.009303811006247997, 0.019565176218748093, 0.10491571575403214, 0.07521107792854309, 0.006848227698355913, 0.08379536122083664], "fourier_magnitudes_out": [0.01638876274228096, 0.025310799479484558, 0.04073981195688248, 0.020660847425460815, 0.10182419419288635, 0.018810531124472618, 0.012585130520164967, 1.2597116231918335, 0.33742281794548035, 0.05266597494482994, 0.023669224232435226, 0.025361616164445877, 0.07434535026550293, 0.0056296647526323795, 0.020933592692017555, 0.03939930722117424, 0.004370615817606449, 0.029202962294220924, 0.08440205454826355, 0.04368341714143753, 0.07918623834848404, 0.09060298651456833, 0.011409549973905087, 0.28803130984306335, 0.26142093539237976, 0.01860147714614868, 0.05364372208714485, 0.05758734047412872, 0.03946661204099655, 0.05352316051721573, 0.01023845560848713, 0.008365591987967491, 0.03455105796456337, 0.06991501152515411, 0.16615362465381622, 0.06816530227661133, 0.036434538662433624]}, "neuron_4": {"global_index": 1068, "dominant_freq": 5, "fourier_magnitudes_in": [0.011308531276881695, 0.06295863538980484, 0.01737283356487751, 0.027724342420697212, 0.02761644870042801, 0.0080192219465971, 0.13525782525539398, 0.010190309025347233, 0.034457720816135406, 1.245032548904419, 0.007882935926318169, 0.028465572744607925, 0.004969984292984009, 0.010985326021909714, 0.14673258364200592, 0.0162346288561821, 0.03283515200018883, 0.04365934431552887, 0.033688634634017944, 0.009349202737212181, 0.08051393181085587, 0.07973684370517731, 0.004736950621008873, 0.11511366069316864, 0.02008248306810856, 0.003411801066249609, 0.09751789271831512, 0.00022788603382650763, 0.0667400136590004, 0.3121471107006073, 0.01280261855572462, 0.058629587292671204, 0.003976363688707352, 0.010444564744830132, 0.12158533930778503, 0.04106428101658821, 0.04366615042090416], "fourier_magnitudes_out": [0.010115906596183777, 0.013094177469611168, 0.0011285445652902126, 0.11037502437829971, 0.039060987532138824, 0.006309728603810072, 0.0235325675457716, 0.045108940452337265, 0.03436078131198883, 1.299681305885315, 0.067978635430336, 0.021942855790257454, 0.03962048143148422, 0.0028760479763150215, 0.02456752397119999, 0.02910054847598076, 0.050591275095939636, 0.0070052077062428, 0.006802598014473915, 0.01203902531415224, 0.025988420471549034, 0.010190305300056934, 0.028257466852664948, 0.1977134346961975, 0.05019284784793854, 0.008254404179751873, 0.03567708656191826, 0.015029140748083591, 0.021260155364871025, 0.3803631067276001, 0.07240458577871323, 0.012193241156637669, 0.042211417108774185, 0.019545404240489006, 0.003601932665333152, 0.023138081654906273, 0.029748300090432167]}, "neuron_5": {"global_index": 258, "dominant_freq": 6, "fourier_magnitudes_in": [0.04264483228325844, 0.011052055284380913, 0.13738439977169037, 0.030811229720711708, 0.06654098629951477, 0.03947743773460388, 0.0314696729183197, 0.034912385046482086, 0.018220065161585808, 0.04268750175833702, 0.048123300075531006, 1.2110216617584229, 0.005347478669136763, 0.1054934486746788, 0.04758916422724724, 0.042711805552244186, 0.04040292277932167, 0.056766167283058167, 0.027801889926195145, 0.051159702241420746, 0.059382274746894836, 0.005381454713642597, 0.13243715465068817, 0.05343036726117134, 0.12791728973388672, 0.03468286246061325, 0.16240420937538147, 0.012554998509585857, 0.08074907958507538, 0.03793586790561676, 0.02169722504913807, 0.0423518605530262, 0.023614099249243736, 0.035415347665548325, 0.0597258023917675, 0.27424177527427673, 0.010366787202656269], "fourier_magnitudes_out": [0.08681189268827438, 0.07852005958557129, 0.04866098612546921, 0.037026189267635345, 0.012642486952245235, 0.07403069734573364, 0.01587044447660446, 0.10745321959257126, 0.05525179207324982, 0.12246295809745789, 0.010451653972268105, 1.2778840065002441, 0.05330925062298775, 0.2141670286655426, 0.02652258425951004, 0.09088610857725143, 0.029956607148051262, 0.06134207919239998, 0.0033744266256690025, 0.037041883915662766, 0.005222306586802006, 0.05130095034837723, 0.041025035083293915, 0.1292835772037506, 0.018675433471798897, 0.09952899068593979, 0.04149632155895233, 0.05136563628911972, 0.02304266206920147, 0.06408801674842834, 0.05848308652639389, 0.10050228238105774, 0.01101131085306406, 0.09753241389989853, 0.0053713358938694, 0.36020639538764954, 0.02266848459839821]}, "neuron_6": {"global_index": 1137, "dominant_freq": 7, "fourier_magnitudes_in": [0.04671915993094444, 0.0013915327144786716, 0.05731924995779991, 0.11734078079462051, 0.06924404203891754, 0.009362968616187572, 0.02785782516002655, 0.10673503577709198, 0.00922348815947771, 0.07818309217691422, 0.07819651067256927, 0.02961452677845955, 0.05863173305988312, 0.16562387347221375, 1.2374569177627563, 0.055724479258060455, 0.06299912929534912, 0.0699254721403122, 0.07310541719198227, 0.07665237784385681, 0.00822615809738636, 0.035920921713113785, 0.039365991950035095, 0.08250126242637634, 0.015681171789765358, 0.045863259583711624, 0.02845821902155876, 0.07030946016311646, 0.04694247618317604, 0.050970420241355896, 0.06467374414205551, 0.1416795253753662, 0.27230072021484375, 0.010705037042498589, 0.036963269114494324, 0.10602469742298126, 0.04946673661470413], "fourier_magnitudes_out": [0.058196935802698135, 0.00713372090831399, 0.005259263329207897, 0.09616532176733017, 0.17224568128585815, 0.02862345427274704, 0.018582439050078392, 0.013655433431267738, 0.03571878746151924, 0.05619568005204201, 0.034828245639801025, 0.02997916005551815, 0.038976579904556274, 1.1721553802490234, 0.5018348693847656, 0.02098005637526512, 0.03217369318008423, 0.06607915461063385, 0.07926516979932785, 0.01275376696139574, 0.0190384853631258, 0.027265425771474838, 0.032541148364543915, 0.07156824320554733, 0.04995882883667946, 0.004808027762919664, 0.017428560182452202, 0.04315152019262314, 0.07995112985372543, 0.013362224213778973, 0.0014543735887855291, 0.13289472460746765, 0.3653346300125122, 0.009775039739906788, 0.02643429860472679, 0.05554143339395523, 0.019730504602193832]}, "neuron_7": {"global_index": 820, "dominant_freq": 8, "fourier_magnitudes_in": [0.04666140675544739, 0.029126545414328575, 0.04616732522845268, 0.08167269825935364, 0.020225301384925842, 0.04207197576761246, 0.1462859809398651, 0.05466260761022568, 0.0026979027315974236, 0.06314001977443695, 0.08574178814888, 0.024291321635246277, 0.11741533130407333, 0.09960771352052689, 0.009380418807268143, 0.02384435385465622, 1.2458914518356323, 0.05151301249861717, 0.019607659429311752, 0.04815644398331642, 0.06797728687524796, 0.08733383566141129, 0.07568324357271194, 0.04033149406313896, 0.04660780727863312, 0.005683849565684795, 0.31541943550109863, 0.11380840837955475, 0.01685105450451374, 0.0341331884264946, 0.09834999591112137, 0.05743367224931717, 0.05043676868081093, 0.029316388070583344, 0.031013157218694687, 0.068624347448349, 0.05274839699268341], "fourier_magnitudes_out": [0.005025983322411776, 0.010155751369893551, 0.06432637572288513, 0.1053079143166542, 0.047819994390010834, 0.21601547300815582, 0.08732596784830093, 0.042266398668289185, 0.04734806343913078, 0.004650938790291548, 0.02272452786564827, 0.05129004269838333, 0.022530384361743927, 0.10281252861022949, 0.04399698227643967, 1.2842414379119873, 0.10450843721628189, 0.044498104602098465, 0.0371214859187603, 0.028033526614308357, 0.012546990066766739, 0.007878776639699936, 0.001225389540195465, 0.05884099751710892, 0.04472653567790985, 0.39922788739204407, 0.11314583569765091, 0.03572697192430496, 0.04723921790719032, 0.02245877869427204, 0.02845892496407032, 0.007487013470381498, 0.008865953423082829, 0.005135706160217524, 0.08227500319480896, 0.12855008244514465, 0.07893671840429306]}, "neuron_8": {"global_index": 105, "dominant_freq": 9, "fourier_magnitudes_in": [0.003524805186316371, 0.010534816421568394, 0.05162869393825531, 0.015673266723752022, 0.03148293495178223, 0.02128347009420395, 0.09358719736337662, 0.08409678936004639, 0.08834772557020187, 0.008467454463243484, 0.010507081635296345, 0.06072815880179405, 0.028369182720780373, 0.040605075657367706, 0.02695908583700657, 0.12237080931663513, 0.024059930816292763, 1.2062140703201294, 0.07581654191017151, 0.3079655170440674, 0.04195548966526985, 0.038468752056360245, 0.008780959993600845, 0.06945682317018509, 0.003688051598146558, 0.030415713787078857, 0.0219228807836771, 0.04445132613182068, 0.02945532277226448, 0.061916910111904144, 0.1319388896226883, 0.01603948138654232, 0.0752025917172432, 0.029472295194864273, 0.03055250272154808, 0.014086009934544563, 0.022924009710550308], "fourier_magnitudes_out": [0.030982302501797676, 0.052858009934425354, 0.01021630223840475, 0.030409270897507668, 0.05166755989193916, 0.04148615896701813, 0.05009259656071663, 0.007338999770581722, 0.01459801010787487, 0.06304781138896942, 0.0028275148943066597, 0.025137539952993393, 0.041232410818338394, 0.0229062307626009, 0.028122570365667343, 0.11671250313520432, 0.10732166469097137, 1.2598159313201904, 0.1581220030784607, 0.29883474111557007, 0.13702364265918732, 0.018775705248117447, 0.05767306312918663, 0.007127548102289438, 0.0179265346378088, 0.034224171191453934, 0.02492402121424675, 0.009318284690380096, 0.02737230435013771, 0.01534441951662302, 0.047003790736198425, 0.03388495743274689, 0.07339013367891312, 0.043062325567007065, 0.018584128469228745, 0.02043074369430542, 0.010880487971007824]}, "neuron_9": {"global_index": 910, "dominant_freq": 10, "fourier_magnitudes_in": [0.07521023601293564, 6.324244168354198e-05, 0.07318779081106186, 0.03318880498409271, 0.05317250266671181, 0.05613359436392784, 0.007040782831609249, 0.07066703587770462, 0.06476384401321411, 0.06501766294240952, 0.01136977318674326, 0.04081498831510544, 0.06649500131607056, 0.3310883343219757, 0.10074137151241302, 0.05866318941116333, 0.017914488911628723, 0.06721784174442291, 0.02023904398083687, 1.2709169387817383, 0.10827339440584183, 0.07896240800619125, 0.0474940724670887, 0.05851498618721962, 0.026627901941537857, 0.1484769582748413, 0.0666760578751564, 0.05981016159057617, 0.060534875839948654, 0.05278122425079346, 0.02257704734802246, 0.0333385095000267, 0.0770123153924942, 0.07317665219306946, 0.0032860967330634594, 0.02394229732453823, 0.07050648331642151], "fourier_magnitudes_out": [0.04842854291200638, 0.02312716282904148, 0.08125828206539154, 0.04852129891514778, 0.049639541655778885, 0.0319114588201046, 0.05231617018580437, 0.04530453681945801, 0.1610741764307022, 0.07187143713235855, 0.004062779247760773, 0.013638394884765148, 0.0741206482052803, 0.33510151505470276, 0.21012090146541595, 0.0733126550912857, 0.0520375557243824, 0.021362164989113808, 0.017060047015547752, 1.2577983140945435, 0.22376778721809387, 0.036919619888067245, 0.06747588515281677, 0.07783427089452744, 0.02948725037276745, 0.1613624095916748, 0.20894603431224823, 0.01764780282974243, 0.064142145216465, 0.046793341636657715, 0.017989149317145348, 0.005488119553774595, 0.12931062281131744, 0.052948541939258575, 0.021798662841320038, 0.03802504763007164, 0.0729302391409874]}, "neuron_10": {"global_index": 1129, "dominant_freq": 11, "fourier_magnitudes_in": [0.054700251668691635, 0.07129743695259094, 0.046940963715314865, 0.08218894898891449, 0.1507135033607483, 0.07801920920610428, 0.002284151967614889, 0.12477961927652359, 0.20624834299087524, 0.11557675153017044, 0.07780713587999344, 0.0973333865404129, 0.0916568711400032, 0.04865185171365738, 0.061137694865465164, 0.06171054765582085, 0.010447816923260689, 0.03963998332619667, 0.15422432124614716, 0.10421387106180191, 0.07917015254497528, 0.24744947254657745, 1.1899323463439941, 0.12809965014457703, 0.030049633234739304, 0.023424547165632248, 0.1703861653804779, 0.016487661749124527, 0.022000495344400406, 0.008712656795978546, 0.08542221784591675, 0.12359330803155899, 0.02805967628955841, 0.10133133828639984, 0.10931988805532455, 0.0082118334248662, 0.019644474610686302], "fourier_magnitudes_out": [0.0671975240111351, 0.028928855434060097, 0.08608529716730118, 0.024118516594171524, 0.013035870157182217, 0.11006166785955429, 0.033588968217372894, 0.13378161191940308, 0.3373992145061493, 0.009437407366931438, 0.01315746083855629, 0.047698527574539185, 0.04719714820384979, 0.025027940049767494, 0.07891752570867538, 0.059856072068214417, 0.010085022076964378, 0.0272800512611866, 0.037003420293331146, 0.052240610122680664, 0.04031852260231972, 1.2069329023361206, 0.5206706523895264, 0.057486433535814285, 0.04170559346675873, 0.01403674203902483, 0.018820542842149734, 0.05629250034689903, 0.023751895874738693, 0.04825960472226143, 0.052032094448804855, 0.06264934688806534, 0.013448459096252918, 0.022853834554553032, 0.020660031586885452, 0.07007014006376266, 0.16523559391498566]}, "neuron_11": {"global_index": 154, "dominant_freq": 12, "fourier_magnitudes_in": [0.03094428963959217, 0.17374221980571747, 0.302496075630188, 0.05317043140530586, 0.041403818875551224, 0.02952851913869381, 0.01140853762626648, 0.03548499569296837, 0.015079950913786888, 0.006863837596029043, 0.0011846617562696338, 0.009148506447672844, 0.015913978219032288, 0.015889618545770645, 0.016707072034478188, 0.0008590975776314735, 0.009762960486114025, 0.04934927076101303, 0.007202196400612593, 0.0594363771378994, 0.037936072796583176, 0.017007049173116684, 0.056315161287784576, 0.22511518001556396, 1.2289934158325195, 0.03009217046201229, 0.04279376193881035, 0.10290757566690445, 0.098189577460289, 0.06265249103307724, 0.005837980192154646, 0.022881845012307167, 0.0011456562206149101, 0.02642015926539898, 0.010273933410644531, 0.01100411731749773, 0.014241320081055164], "fourier_magnitudes_out": [0.0003968419332522899, 0.09960103780031204, 0.38322028517723083, 0.017199138179421425, 0.05012350529432297, 0.07626670598983765, 0.029701707884669304, 0.02386028878390789, 0.0009896766860038042, 0.021195564419031143, 0.019922371953725815, 0.011564617976546288, 0.009844226762652397, 0.00933902058750391, 0.02422442100942135, 0.02642958238720894, 0.028846317902207375, 0.01757786050438881, 0.019129019230604172, 0.10621949285268784, 0.006861861329525709, 0.03919564187526703, 0.007240306120365858, 1.1906613111495972, 0.5378298759460449, 0.008325527422130108, 0.004721144214272499, 0.09757009148597717, 0.1868874728679657, 0.0220815297216177, 0.004001195076853037, 0.03086213581264019, 0.04423760250210762, 0.014923490583896637, 0.026293529197573662, 0.010120445862412453, 0.02679574489593506]}, "neuron_12": {"global_index": 15, "dominant_freq": 13, "fourier_magnitudes_in": [0.02934695966541767, 0.06829531490802765, 0.13609349727630615, 0.2894473969936371, 0.1016979068517685, 0.045747868716716766, 0.1592760682106018, 0.009216172620654106, 0.007897120900452137, 0.06760408729314804, 0.038301460444927216, 0.04651082307100296, 0.007184113375842571, 0.009712831117212772, 0.02208133600652218, 0.019803890958428383, 0.12959407269954681, 0.05939314514398575, 0.07016349583864212, 0.044371262192726135, 0.0794590562582016, 0.04172294959425926, 0.03165184333920479, 0.07215208560228348, 0.13423579931259155, 1.2508213520050049, 0.1158231869339943, 0.05823488533496857, 0.17168328166007996, 0.010601821355521679, 0.039737943559885025, 0.04942702129483223, 0.04191364347934723, 0.05414324626326561, 0.03583748638629913, 0.0266606155782938, 0.08857479691505432], "fourier_magnitudes_out": [0.029853161424398422, 0.10555922985076904, 0.0539817288517952, 0.34326842427253723, 0.09462185204029083, 0.045822128653526306, 0.01217248197644949, 0.02687043324112892, 0.005884286016225815, 0.002566681941971183, 0.07339376956224442, 0.0041500236839056015, 0.08470533788204193, 0.028841892257332802, 0.006373994518071413, 0.03853917866945267, 0.012554481625556946, 0.11693810671567917, 0.06961457431316376, 0.014837313443422318, 0.03582880645990372, 0.03269941359758377, 0.01579064317047596, 0.09382183104753494, 0.03825199976563454, 1.2802480459213257, 0.11560440063476562, 0.07862348854541779, 0.03811601921916008, 0.08027295768260956, 0.01570868119597435, 0.03006165102124214, 0.0692342221736908, 0.02142694778740406, 0.07639247924089432, 0.005481875501573086, 0.018916120752692223]}, "neuron_13": {"global_index": 752, "dominant_freq": 14, "fourier_magnitudes_in": [0.01679358072578907, 0.0471196249127388, 0.002335004275664687, 0.05109810829162598, 0.049538251012563705, 0.08692900836467743, 0.021202482283115387, 0.12484351545572281, 0.028716053813695908, 0.2817818224430084, 0.0677325427532196, 0.0542202889919281, 0.10164057463407516, 0.017243174836039543, 0.10234259068965912, 0.006647567264735699, 0.055219851434230804, 0.053849514573812485, 0.08153188228607178, 0.1496511995792389, 0.03272358700633049, 0.07639188319444656, 0.05203919857740402, 0.0005195739795453846, 0.014036738313734531, 0.09258642047643661, 0.030880799517035484, 1.2332168817520142, 0.1330869048833847, 0.028045527637004852, 0.10529420524835587, 0.062219828367233276, 0.01991816982626915, 0.04180844873189926, 0.10326585173606873, 0.11690209060907364, 0.07744588702917099], "fourier_magnitudes_out": [0.021701529622077942, 0.03354542702436447, 0.020943187177181244, 0.016595488414168358, 0.028765825554728508, 0.03509320318698883, 0.018086379393935204, 0.08830749243497849, 0.11826560646295547, 0.3183972239494324, 0.13567587733268738, 0.03453592211008072, 0.008918644860386848, 0.01269072201102972, 0.03527688607573509, 0.03305966779589653, 0.001962121808901429, 0.030886270105838776, 0.002284928923472762, 0.06446156650781631, 0.0448530837893486, 0.004333410412073135, 0.01812908984720707, 0.019472656771540642, 0.04725266247987747, 0.0020708846859633923, 0.108782097697258, 1.2803925275802612, 0.163627028465271, 0.02482161670923233, 0.020973723381757736, 0.040992699563503265, 0.06155670806765556, 0.03657225891947746, 0.04198906943202019, 0.02093162015080452, 0.05868714675307274]}, "neuron_14": {"global_index": 697, "dominant_freq": 15, "fourier_magnitudes_in": [0.006700177676975727, 0.11316253244876862, 0.019901668652892113, 0.029406147077679634, 0.07240426540374756, 0.06699337810277939, 0.032438598573207855, 0.04668750241398811, 0.051436759531497955, 0.01562538556754589, 0.04921681061387062, 0.05004167929291725, 0.020580213516950607, 0.00925928633660078, 0.0961022600531578, 0.291562020778656, 0.04497165232896805, 0.04193941503763199, 0.11555710434913635, 0.06542637199163437, 0.03970054164528847, 0.030153857544064522, 0.04085621237754822, 0.0269959457218647, 0.035868894308805466, 0.0475950613617897, 0.014226858504116535, 0.04085247591137886, 0.13736695051193237, 1.2144043445587158, 0.05780072510242462, 0.04228903725743294, 0.14735732972621918, 0.05087960138916969, 0.034276049584150314, 0.03058536909520626, 0.021254204213619232], "fourier_magnitudes_out": [0.09226003289222717, 0.2070494443178177, 0.032234616577625275, 0.03223935514688492, 0.03150159493088722, 0.11677999794483185, 0.015658194199204445, 0.07924499362707138, 0.016638245433568954, 0.0304694976657629, 0.0004702360020019114, 0.10745227336883545, 0.04962768778204918, 0.1028730645775795, 0.01091584749519825, 0.3411484360694885, 0.08054274320602417, 0.038670673966407776, 0.012524583376944065, 0.09197428822517395, 0.018207114189863205, 0.046267420053482056, 0.016911594197154045, 0.01296958513557911, 0.018872814252972603, 0.08929870277643204, 0.012751986272633076, 0.07142040878534317, 0.01152763981372118, 1.3056029081344604, 0.1164240837097168, 0.03259268030524254, 0.008483351208269596, 0.07369290292263031, 0.0143976379185915, 0.013033323921263218, 0.036732789129018784]}, "neuron_15": {"global_index": 201, "dominant_freq": 16, "fourier_magnitudes_in": [0.06345730274915695, 0.09656108170747757, 0.03192725032567978, 0.043999262154102325, 0.0381278321146965, 0.048808787018060684, 0.033969130367040634, 0.07944949716329575, 0.005058619659394026, 0.06007721647620201, 0.02280857041478157, 0.10136923938989639, 0.13426309823989868, 0.05187535658478737, 0.00099457788746804, 0.014914272353053093, 0.04560355097055435, 0.06047310680150986, 0.04547042399644852, 0.06430955231189728, 0.004243509843945503, 0.14713598787784576, 0.32299843430519104, 0.07980239391326904, 0.004569822922348976, 0.03968833014369011, 0.07000831514596939, 0.07693126797676086, 0.0447145439684391, 0.08903723210096359, 0.03397274762392044, 0.13541467487812042, 1.222537636756897, 0.07777068018913269, 0.02413712814450264, 0.04822125658392906, 0.03760717809200287], "fourier_magnitudes_out": [0.03730274736881256, 0.007623089011758566, 0.17841261625289917, 0.03338577598333359, 0.006357885897159576, 0.0194049384444952, 0.017787087708711624, 0.042262788861989975, 0.13740551471710205, 0.01909787952899933, 0.03092077374458313, 0.09759701043367386, 0.20114943385124207, 0.007647623773664236, 0.03698723018169403, 0.014537409879267216, 0.042564067989587784, 0.05830138176679611, 0.08037426322698593, 0.013799848034977913, 0.007174995262175798, 0.3259519934654236, 0.281760573387146, 0.032767996191978455, 0.03606167435646057, 0.07592912763357162, 0.034385666251182556, 0.10177821666002274, 0.03253799304366112, 0.00742645887658, 0.028629733249545097, 1.261693000793457, 0.28539425134658813, 0.005576395429670811, 0.026989709585905075, 0.07756329327821732, 0.030619937926530838]}, "neuron_16": {"global_index": 1000, "dominant_freq": 17, "fourier_magnitudes_in": [0.08059817552566528, 0.08764512091875076, 0.13053815066814423, 0.10173731297254562, 0.10409863293170929, 0.07697277516126633, 0.08917950093746185, 0.04041939228773117, 0.1044655442237854, 0.11627938598394394, 0.021769525483250618, 0.028402283787727356, 0.08500213176012039, 0.035793736577034, 0.074335977435112, 0.05855976790189743, 0.01740056835114956, 0.07583609968423843, 0.03204413130879402, 0.05037451907992363, 0.06219874694943428, 0.05635227635502815, 0.06349213421344757, 0.006597031373530626, 0.022744204849004745, 0.01361159235239029, 0.06231933459639549, 0.141987606883049, 0.21603098511695862, 0.032320160418748856, 0.0038685668259859085, 0.01612415350973606, 0.012628722935914993, 0.22431306540966034, 1.2134519815444946, 0.027419347316026688, 0.037251055240631104], "fourier_magnitudes_out": [0.03886064514517784, 0.05812457576394081, 0.0547528937458992, 0.09387702494859695, 0.019377758726477623, 0.013536372222006321, 0.02126389928162098, 0.03488261625170708, 0.0734163299202919, 0.06981026381254196, 0.03220421448349953, 0.024244576692581177, 0.04977593198418617, 0.0484381802380085, 0.04540092125535011, 0.04520940035581589, 0.08390003442764282, 0.06296928972005844, 0.01344824768602848, 0.06322261691093445, 0.02961554564535618, 0.007143347058445215, 0.203441321849823, 0.03897674381732941, 0.03438122197985649, 0.060450755059719086, 0.02564895898103714, 0.19862478971481323, 0.3389207124710083, 0.0065544662065804005, 0.006818471942096949, 0.019988739863038063, 0.04621491581201553, 1.2207566499710083, 0.41424819827079773, 0.018741970881819725, 0.032691508531570435]}, "neuron_17": {"global_index": 1014, "dominant_freq": 18, "fourier_magnitudes_in": [0.043539050966501236, 0.05557038635015488, 0.03136874735355377, 0.03927171975374222, 0.01624436117708683, 0.042576469480991364, 0.017204592004418373, 0.03293420001864433, 0.018813636153936386, 0.016535060480237007, 0.014129825867712498, 0.027936777099967003, 0.011652319692075253, 0.02227403037250042, 0.01799561269581318, 0.04349338635802269, 0.03488348424434662, 0.002269553951919079, 0.0052958144806325436, 0.03284790739417076, 0.047613706439733505, 0.02673701010644436, 0.05996696650981903, 0.028753003105521202, 0.025708280503749847, 0.0078291529789567, 0.01785462349653244, 0.007769760675728321, 0.031708456575870514, 0.017597593367099762, 0.06553065031766891, 0.10346131026744843, 0.12590569257736206, 0.30017781257629395, 0.1466086059808731, 1.2438430786132812, 0.21898609399795532], "fourier_magnitudes_out": [0.008756265044212341, 0.007088338024914265, 0.0034535308368504047, 0.019132960587739944, 0.01578509621322155, 0.040375642478466034, 0.02965930663049221, 0.02852652221918106, 0.028304822742938995, 0.009025062434375286, 0.041808754205703735, 0.03550279513001442, 0.012396501377224922, 0.03314884752035141, 0.010007583536207676, 0.050485339015722275, 0.044820912182331085, 0.006330952979624271, 0.06969757378101349, 0.0291214007884264, 0.03682323172688484, 0.0919698178768158, 0.028016485273838043, 0.08175881952047348, 0.07363967597484589, 0.022741960361599922, 0.09738008677959442, 0.08669500052928925, 0.020714523270726204, 0.1532372236251831, 0.07840491831302643, 0.07879772037267685, 0.23714248836040497, 0.13755643367767334, 0.3699815273284912, 1.1892951726913452, 0.47337204217910767]}, "neuron_18": {"global_index": 251, "dominant_freq": 1, "fourier_magnitudes_in": [0.043718528002500534, 0.12235227972269058, 1.1911022663116455, 0.01172855868935585, 0.09101056307554245, 0.035802923142910004, 0.19994960725307465, 0.06146834045648575, 0.04444997385144234, 0.0741356685757637, 0.1040341779589653, 0.07548802345991135, 0.09008975327014923, 0.07532152533531189, 0.18272511661052704, 0.04847414791584015, 0.19330257177352905, 0.04630032181739807, 0.17466305196285248, 0.024324491620063782, 0.1649344116449356, 0.004713899455964565, 0.10471396148204803, 0.0680224597454071, 0.05957933887839317, 0.05374686419963837, 0.016552256420254707, 0.07768694311380386, 0.0073348600417375565, 0.03209473565220833, 0.0020729752723127604, 0.03962434455752373, 0.03642987459897995, 0.006308075971901417, 0.07529773563146591, 0.007628641556948423, 0.09914388507604599], "fourier_magnitudes_out": [0.02819226309657097, 1.2701507806777954, 0.14433224499225616, 0.02900060825049877, 0.04262731224298477, 0.3004801869392395, 0.15569476783275604, 0.009459445253014565, 0.05432749539613724, 0.10615921765565872, 0.0895111933350563, 0.00021495427063200623, 0.10221386700868607, 0.017595065757632256, 0.08416622132062912, 0.018789924681186676, 0.05241825431585312, 0.014926036819815636, 0.03239615261554718, 0.022584637627005577, 0.04237009957432747, 0.03068690001964569, 0.03317869082093239, 0.006615433841943741, 0.0015295406337827444, 0.06275659799575806, 0.035113051533699036, 0.02253289334475994, 0.028345352038741112, 0.048675183206796646, 0.01716899313032627, 0.037309449166059494, 0.03316982090473175, 0.04570234566926956, 0.015479515306651592, 0.02847784385085106, 0.022149143740534782]}, "neuron_19": {"global_index": 748, "dominant_freq": 2, "fourier_magnitudes_in": [0.0616961270570755, 0.04081413522362709, 0.04231959953904152, 1.2155762910842896, 0.244856595993042, 0.015964483842253685, 0.04507607966661453, 0.060022491961717606, 0.062302738428115845, 0.009097183123230934, 0.006158976815640926, 0.28455662727355957, 0.15662415325641632, 0.001093056402169168, 0.02632848732173443, 0.025573426857590675, 0.09927695989608765, 0.0550120510160923, 0.012598132714629173, 0.14598727226257324, 0.11674187332391739, 0.010802659206092358, 0.04237177595496178, 0.02316589653491974, 0.08977057784795761, 0.025562429800629616, 0.007237469311803579, 0.018903253600001335, 0.06948530673980713, 0.08543814718723297, 0.021780725568532944, 0.0794215053319931, 0.04050012305378914, 0.04658213630318642, 0.0051848688162863255, 0.03833051398396492, 0.007314568385481834], "fourier_magnitudes_out": [0.027858003973960876, 0.045627474784851074, 0.04893629997968674, 1.1478126049041748, 0.5417928695678711, 0.019333261996507645, 0.05334176495671272, 0.014086242765188217, 0.025927793234586716, 0.004649882670491934, 0.06668301671743393, 0.08626376837491989, 0.32699134945869446, 0.014359845779836178, 0.032265372574329376, 0.005220206454396248, 0.016280826181173325, 0.08399307727813721, 0.03490861877799034, 0.06663326919078827, 0.1524585336446762, 0.0019091436406597495, 0.033506572246551514, 0.008698929101228714, 0.005670391488820314, 0.07726257294416428, 0.02070230431854725, 0.12210387736558914, 0.00220792880281806, 0.05484580248594284, 0.003394669620320201, 0.02005677856504917, 0.047535523772239685, 0.010297484695911407, 0.024430323392152786, 0.09473039954900742, 0.031491558998823166]}}}
|
precomputed_results/p_037/p037_output_logits.png
ADDED
|
Git LFS Details
|
precomputed_results/p_037/p037_overview.json
ADDED
|
@@ -0,0 +1 @@
|
|
|
|
|
|
|
| 1 |
+
{"std_epochs": [0, 200, 400, 600, 800, 1000, 1200, 1400, 1600, 1800, 2000, 2200, 2400, 2600, 2800, 3000, 3200, 3400, 3600, 3800, 4000, 4200, 4400, 4600, 4800], "std_ipr": [0.10514968633651733, 0.13163316249847412, 0.20517286658287048, 0.27870529890060425, 0.3364042639732361, 0.38025951385498047, 0.41380077600479126, 0.44041940569877625, 0.46235591173171997, 0.4809020161628723, 0.49700045585632324, 0.5113592147827148, 0.5247339010238647, 0.5377198457717896, 0.5508143305778503, 0.5631199479103088, 0.5731451511383057, 0.5813190937042236, 0.5884640216827393, 0.5949795246124268, 0.601057231426239, 0.6067663431167603, 0.6121677160263062, 0.6173508167266846, 0.6224700212478638], "std_train_loss": [3.6110808849334717, 3.572838544845581, 3.4987423419952393, 3.3776462078094482, 3.207853078842163, 2.9898505210876465, 2.7255842685699463, 2.4187920093536377, 2.076183319091797, 1.7093913555145264, 1.33673894405365, 0.9835012555122375, 0.6766188740730286, 0.4348658621311188, 0.2609975039958954, 0.14624017477035522, 0.07737895846366882, 0.039256975054740906, 0.019258813932538033, 0.009174726903438568, 0.004255542065948248, 0.001925863092765212, 0.0008523114956915379, 0.00037014702684246004, 0.0001587827573530376], "grokk_epochs": [0, 200, 400, 600, 800, 1000, 1200, 1400, 1600, 1800, 2000, 2200, 2400, 2600, 2800, 3000, 3200, 3400, 3600, 3800, 4000, 4200, 4400, 4600, 4800, 5000, 5200, 5400, 5600, 5800, 6000, 6200, 6400, 6600, 6800, 7000, 7200, 7400, 7600, 7800, 8000, 8200, 8400, 8600, 8800, 9000, 9200, 9400, 9600, 9800, 10000, 10200, 10400, 10600, 10800, 11000, 11200, 11400, 11600, 11800, 12000, 12200, 12400, 12600, 12800, 13000, 13200, 13400, 13600, 13800, 14000, 14200, 14400, 14600, 14800], "grokk_ipr": [0.10514968633651733, 0.14859268069267273, 0.22175714373588562, 0.2788512706756592, 0.3241291046142578, 0.36286163330078125, 0.3987632393836975, 0.43250811100006104, 0.46266818046569824, 0.48720043897628784, 0.5066224932670593, 0.5226691961288452, 0.5364527702331543, 0.5485520362854004, 0.5594679117202759, 0.5694323778152466, 0.5786448121070862, 0.5874420404434204, 0.5960475206375122, 0.6049257516860962, 0.6143441200256348, 0.6242281198501587, 0.6342374086380005, 0.6439350843429565, 0.6531763076782227, 0.6619338989257812, 0.6702724695205688, 0.678239643573761, 0.6858870387077332, 0.6932446360588074, 0.700311541557312, 0.7070993185043335, 0.7136223316192627, 0.7198824882507324, 0.725894033908844, 0.7316738367080688, 0.7372413277626038, 0.7425961494445801, 0.7477419376373291, 0.752692461013794, 0.7574567794799805, 0.762032151222229, 0.7664279341697693, 0.7706589698791504, 0.7747292518615723, 0.7786402702331543, 0.7823944091796875, 0.7860018610954285, 0.7894761562347412, 0.7928218841552734, 0.7960450649261475, 0.7991435527801514, 0.8021233081817627, 0.8049896359443665, 0.8077495098114014, 0.8104091286659241, 0.8129787445068359, 0.815455436706543, 0.8178406953811646, 0.8201481103897095, 0.8223757743835449, 0.8245227932929993, 0.8265924453735352, 0.8285925984382629, 0.8305250406265259, 0.832389771938324, 0.8341916799545288, 0.8359366059303284, 0.8376259803771973, 0.8392674922943115, 0.8408621549606323, 0.8424157500267029, 0.8439282178878784, 0.8453966379165649, 0.846815288066864], "grokk_train_loss": [3.610844612121582, 3.4807512760162354, 3.1996898651123047, 2.787893533706665, 2.283473253250122, 1.737666368484497, 1.213828682899475, 0.7677111029624939, 0.4302007257938385, 0.2144889384508133, 0.09951496869325638, 0.04469357803463936, 0.019782347604632378, 0.008693418465554714, 0.00380694936029613, 0.0016663162969052792, 0.0007321825250983238, 0.00032498393557034433, 0.00014739124162588269, 6.961132021388039e-05, 3.528855449985713e-05, 1.9903836800949648e-05, 1.2780725228367373e-05, 9.356823284178972e-06, 7.601818197144894e-06, 6.678246791125275e-06, 6.156100880616577e-06, 5.861449608346447e-06, 5.685889846063219e-06, 5.584458449447993e-06, 5.518464149645297e-06, 5.47233776160283e-06, 5.443523605208611e-06, 5.422493813966867e-06, 5.406227046478307e-06, 5.387986220739549e-06, 5.375205546442885e-06, 5.361378953239182e-06, 5.351851996238111e-06, 5.340465577319264e-06, 5.328149654815206e-06, 5.314904228725936e-06, 5.301194505591411e-06, 5.291899014991941e-06, 5.280861387291225e-06, 5.273773695080308e-06, 5.263549155642977e-06, 5.25390669281478e-06, 5.248097295407206e-06, 5.232876446825685e-06, 5.2274153858888894e-06, 5.219979357207194e-06, 5.2134728321107104e-06, 5.206153218750842e-06, 5.1995302783325315e-06, 5.191048785491148e-06, 5.185123427509097e-06, 5.177338607609272e-06, 5.1690894906641915e-06, 5.163744845049223e-06, 5.159794454812072e-06, 5.153055553819286e-06, 5.147362116986187e-06, 5.144690021552378e-06, 5.13667282575625e-06, 5.135394985700259e-06, 5.127842541696737e-06, 5.122265520185465e-06, 5.118896751810098e-06, 5.115062322147423e-06, 5.109252924739849e-06, 5.109020548843546e-06, 5.1017000259889755e-06, 5.098795554658864e-06, 5.097052962810267e-06], "grokk_test_loss": [3.6117868423461914, 3.710650682449341, 3.786900520324707, 3.7860474586486816, 3.6871395111083984, 3.4584362506866455, 3.0721487998962402, 2.5557124614715576, 2.0283331871032715, 1.632208228111267, 1.3842278718948364, 1.2214490175247192, 1.095554232597351, 0.984355092048645, 0.878711462020874, 0.7753333449363708, 0.6754875779151917, 0.5806044340133667, 0.4936254620552063, 0.41551029682159424, 0.34828275442123413, 0.29304376244544983, 0.24940210580825806, 0.21583732962608337, 0.18994127213954926, 0.1694340854883194, 0.1526031345129013, 0.13840679824352264, 0.12621769309043884, 0.11550145596265793, 0.1061316505074501, 0.09781899303197861, 0.09043141454458237, 0.0838010162115097, 0.07780935615301132, 0.07238299399614334, 0.06744194775819778, 0.0629005879163742, 0.05874310061335564, 0.054989516735076904, 0.05157800018787384, 0.04846833646297455, 0.045626915991306305, 0.04307078570127487, 0.04079830273985863, 0.038729242980480194, 0.0368843600153923, 0.03523607552051544, 0.03373873233795166, 0.03238370269536972, 0.03115643374621868, 0.030038468539714813, 0.02902008779346943, 0.028093181550502777, 0.027233462780714035, 0.026459604501724243, 0.025768902152776718, 0.025154592469334602, 0.02458021230995655, 0.024057522416114807, 0.023604867979884148, 0.023201834410429, 0.022816341370344162, 0.02245413325726986, 0.02211264707148075, 0.021796908229589462, 0.0215122252702713, 0.021255286410450935, 0.021016206592321396, 0.020794618874788284, 0.020602989941835403, 0.020424582064151764, 0.0202555563300848, 0.020102500915527344, 0.01995965465903282]}
|
precomputed_results/p_037/p037_overview_loss_ipr.png
ADDED
|
Git LFS Details
|
precomputed_results/p_037/p037_overview_phase_scatter.png
ADDED
|
precomputed_results/p_037/p037_phase_align_approx1.png
ADDED
|
Git LFS Details
|
precomputed_results/p_037/p037_phase_align_approx2.png
ADDED
|
Git LFS Details
|
precomputed_results/p_037/p037_phase_align_quad.png
ADDED
|
precomputed_results/p_037/p037_phase_align_relu.png
ADDED
|
precomputed_results/p_037/p037_phase_distribution.png
ADDED
|
precomputed_results/p_037/p037_phase_relationship.png
ADDED
|
precomputed_results/p_037/p037_single_freq_quad.png
ADDED
|
Git LFS Details
|
precomputed_results/p_037/p037_single_freq_relu.png
ADDED
|
Git LFS Details
|
precomputed_results/p_037/p037_training_log.json
ADDED
|
The diff for this file is too large to render.
See raw diff
|
|
|