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   1  {
   2   "cells": [
   3    {
   4     "cell_type": "code",
   5     "execution_count": 28,
   6     "id": "f0f886c0",
   7     "metadata": {},
   8     "outputs": [],
   9     "source": [
  10      "import cv2\n",
  11      "import numpy as np\n",
  12      "from tracker import *\n",
  13      "import matplotlib.pyplot as plt"
  14     ]
  15    },
  16    {
  17     "cell_type": "code",
  18     "execution_count": null,
  19     "id": "ab1c0f93",
  20     "metadata": {},
  21     "outputs": [],
  22     "source": []
  23    },
  24    {
  25     "cell_type": "code",
  26     "execution_count": null,
  27     "id": "06ef897a",
  28     "metadata": {},
  29     "outputs": [],
  30     "source": []
  31    },
  32    {
  33     "cell_type": "code",
  34     "execution_count": null,
  35     "id": "e591ecea",
  36     "metadata": {},
  37     "outputs": [],
  38     "source": []
  39    },
  40    {
  41     "cell_type": "markdown",
  42     "id": "931af31b",
  43     "metadata": {},
  44     "source": [
  45      "video_stream = cv2.VideoCapture('data/sample1.mp4')\n",
  46      "\n",
  47      "# Randomly select 30 frames\n",
  48      "frameIds = video_stream.get(cv2.CAP_PROP_FRAME_COUNT) * np.random.uniform(size=50)\n",
  49      "\n",
  50      "# Store selected frames in an array\n",
  51      "frames = []\n",
  52      "for fid in frameIds:\n",
  53      "    video_stream.set(cv2.CAP_PROP_POS_FRAMES, fid)\n",
  54      "    ret, frame = video_stream.read()\n",
  55      "    frames.append(frame)\n",
  56      "    \n",
  57      "video_stream.release()\n",
  58      "medianFrame = np.median(frames, axis=0).astype(dtype=np.uint8)\n",
  59      "plt.imshow(fixColor(medianFrame), cmap='gray')"
  60     ]
  61    },
  62    {
  63     "cell_type": "code",
  64     "execution_count": null,
  65     "id": "0d827b91",
  66     "metadata": {},
  67     "outputs": [],
  68     "source": []
  69    },
  70    {
  71     "cell_type": "code",
  72     "execution_count": null,
  73     "id": "5ca3d963",
  74     "metadata": {},
  75     "outputs": [],
  76     "source": []
  77    },
  78    {
  79     "cell_type": "code",
  80     "execution_count": null,
  81     "id": "e317a959",
  82     "metadata": {},
  83     "outputs": [],
  84     "source": []
  85    },
  86    {
  87     "cell_type": "code",
  88     "execution_count": null,
  89     "id": "fad2b658",
  90     "metadata": {},
  91     "outputs": [],
  92     "source": []
  93    },
  94    {
  95     "cell_type": "code",
  96     "execution_count": 40,
  97     "id": "7f3d820b",
  98     "metadata": {},
  99     "outputs": [
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 101       "name": "stdout",
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 224        "{0: (762, 696), 1: (1136, 611), 2: (1009, 609), 3: (871, 605), 4: (746, 602), 5: (615, 600), 6: (225, 593), 7: (1173, 597), 8: (1093, 609), 9: (1232, 607), 10: (1238, 571), 11: (961, 605), 12: (835, 600), 13: (705, 595), 14: (576, 592), 15: (450, 576), 16: (321, 566), 17: (1077, 439), 18: (562, 420), 19: (824, 426), 20: (695, 421), 21: (952, 428), 22: (1212, 436), 23: (312, 404), 24: (6, 369), 25: (447, 402), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (789, 334), 31: (666, 327), 32: (12, 325), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34)}\n",
 225        "{0: (762, 696), 1: (1136, 611), 2: (1009, 609), 3: (871, 605), 4: (746, 602), 5: (615, 600), 6: (225, 593), 7: (1173, 597), 8: (1093, 609), 9: (1232, 607), 10: (1238, 571), 11: (961, 605), 12: (835, 600), 13: (705, 595), 14: (576, 592), 15: (450, 576), 16: (321, 566), 17: (1077, 439), 18: (562, 420), 19: (824, 426), 20: (695, 421), 21: (952, 428), 22: (1212, 436), 23: (312, 404), 24: (6, 369), 25: (447, 402), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (789, 334), 31: (666, 327), 32: (12, 325), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34)}\n",
 226        "{0: (762, 696), 1: (1136, 611), 2: (1009, 609), 3: (871, 605), 4: (746, 602), 5: (615, 600), 6: (225, 593), 7: (1173, 597), 8: (1093, 609), 9: (1232, 607), 10: (1238, 571), 11: (961, 605), 12: (835, 600), 13: (705, 595), 14: (576, 592), 15: (450, 576), 16: (321, 566), 17: (1077, 439), 18: (562, 420), 19: (824, 426), 20: (695, 421), 21: (952, 428), 22: (1212, 436), 23: (312, 404), 24: (6, 369), 25: (447, 402), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (789, 334), 31: (666, 327), 32: (12, 325), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34)}\n",
 227        "{0: (762, 696), 1: (1136, 611), 2: (1009, 609), 3: (871, 605), 4: (746, 602), 5: (615, 600), 6: (225, 593), 7: (1173, 597), 8: (1093, 609), 9: (1232, 607), 10: (1238, 571), 11: (961, 605), 12: (835, 600), 13: (705, 595), 14: (576, 592), 15: (450, 576), 16: (321, 566), 17: (1077, 439), 18: (562, 420), 19: (824, 426), 20: (695, 421), 21: (952, 428), 22: (1212, 436), 23: (312, 404), 24: (6, 369), 25: (447, 402), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (789, 334), 31: (666, 327), 32: (12, 325), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34)}\n",
 228        "{0: (762, 696), 1: (1136, 611), 2: (1009, 609), 3: (871, 605), 4: (746, 602), 5: (615, 600), 6: (225, 593), 7: (1173, 597), 8: (1093, 609), 9: (1232, 607), 10: (1238, 571), 11: (961, 605), 12: (835, 600), 13: (705, 595), 14: (576, 592), 15: (450, 576), 16: (321, 566), 17: (1077, 439), 18: (562, 420), 19: (824, 426), 20: (695, 421), 21: (952, 428), 22: (1212, 436), 23: (312, 404), 24: (6, 369), 25: (447, 402), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (789, 334), 31: (666, 327), 32: (12, 325), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34)}\n",
 229        "{0: (762, 696), 1: (1136, 611), 2: (1009, 609), 3: (871, 605), 4: (746, 602), 5: (615, 600), 6: (225, 593), 7: (1173, 597), 8: (1093, 609), 9: (1232, 607), 10: (1238, 571), 11: (961, 605), 12: (835, 600), 13: (705, 595), 14: (576, 592), 15: (450, 576), 16: (321, 566), 17: (1077, 439), 18: (562, 420), 19: (824, 426), 20: (695, 421), 21: (952, 428), 22: (1212, 436), 23: (312, 404), 24: (6, 369), 25: (447, 402), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (789, 334), 31: (666, 327), 32: (12, 325), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34)}\n",
 230        "{0: (762, 696), 1: (1136, 611), 2: (1009, 609), 3: (871, 605), 4: (746, 602), 5: (615, 600), 6: (225, 593), 7: (1173, 597), 8: (1093, 609), 9: (1232, 607), 10: (1238, 571), 11: (961, 605), 12: (835, 600), 13: (705, 595), 14: (576, 592), 15: (450, 576), 16: (321, 566), 17: (1077, 439), 18: (562, 420), 19: (824, 426), 20: (695, 421), 21: (952, 428), 22: (1212, 436), 23: (312, 404), 24: (6, 369), 25: (447, 402), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (789, 334), 31: (666, 327), 32: (12, 325), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34)}\n",
 231        "{0: (762, 696), 1: (1136, 611), 2: (1009, 609), 3: (871, 605), 4: (746, 602), 5: (615, 600), 6: (225, 593), 7: (1173, 597), 8: (1093, 609), 9: (1232, 607), 10: (1238, 571), 11: (961, 605), 12: (835, 600), 13: (705, 595), 14: (576, 592), 15: (450, 576), 16: (321, 566), 17: (1077, 439), 18: (562, 420), 19: (824, 426), 20: (695, 421), 21: (952, 428), 22: (1212, 436), 23: (312, 404), 24: (6, 369), 25: (447, 402), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (789, 334), 31: (666, 327), 32: (12, 325), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34)}\n",
 232        "{0: (762, 696), 1: (1136, 611), 2: (1009, 609), 3: (871, 605), 4: (746, 602), 5: (615, 600), 6: (225, 593), 7: (1173, 597), 8: (1093, 609), 9: (1232, 607), 10: (1238, 571), 11: (961, 605), 12: (835, 600), 13: (705, 595), 14: (576, 592), 15: (450, 576), 16: (321, 566), 17: (1077, 439), 18: (562, 420), 19: (824, 426), 20: (695, 421), 21: (952, 428), 22: (1212, 436), 23: (312, 404), 24: (6, 369), 25: (447, 402), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (789, 334), 31: (666, 327), 32: (12, 325), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34)}\n",
 233        "{0: (762, 696), 1: (1136, 611), 2: (1009, 609), 3: (871, 605), 4: (746, 602), 5: (615, 600), 6: (225, 593), 7: (1173, 597), 8: (1093, 609), 9: (1232, 607), 10: (1238, 571), 11: (961, 605), 12: (835, 600), 13: (705, 595), 14: (576, 592), 15: (450, 576), 16: (321, 566), 17: (1077, 439), 18: (562, 420), 19: (824, 426), 20: (695, 421), 21: (952, 428), 22: (1212, 436), 23: (312, 404), 24: (6, 369), 25: (447, 402), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (789, 334), 31: (666, 327), 32: (12, 325), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34)}\n",
 234        "{0: (762, 696), 1: (1136, 611), 2: (1009, 609), 3: (871, 605), 4: (746, 602), 5: (615, 600), 6: (225, 593), 7: (1173, 597), 8: (1093, 609), 9: (1232, 607), 10: (1238, 571), 11: (961, 605), 12: (835, 600), 13: (705, 595), 14: (576, 592), 15: (450, 576), 16: (321, 566), 17: (1077, 439), 18: (562, 420), 19: (824, 426), 20: (695, 421), 21: (952, 428), 22: (1212, 436), 23: (312, 404), 24: (6, 369), 25: (447, 402), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (789, 334), 31: (666, 327), 32: (12, 325), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34)}\n",
 235        "{0: (762, 696), 1: (1136, 611), 2: (1009, 609), 3: (871, 605), 4: (746, 602), 5: (615, 600), 6: (225, 593), 7: (1173, 597), 8: (1093, 609), 9: (1232, 607), 10: (1238, 571), 11: (961, 605), 12: (835, 600), 13: (705, 595), 14: (576, 592), 15: (450, 576), 16: (321, 566), 17: (1077, 439), 18: (562, 420), 19: (824, 426), 20: (695, 421), 21: (952, 428), 22: (1212, 436), 23: (312, 404), 24: (6, 369), 25: (447, 402), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (789, 334), 31: (666, 327), 32: (12, 325), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34)}\n",
 236        "{0: (762, 696), 1: (1136, 611), 2: (1009, 609), 3: (871, 605), 4: (746, 602), 5: (615, 600), 6: (225, 593), 7: (1173, 597), 8: (1093, 609), 9: (1232, 607), 10: (1238, 571), 11: (961, 605), 12: (835, 600), 13: (705, 595), 14: (576, 592), 15: (450, 576), 16: (321, 566), 17: (1077, 439), 18: (562, 420), 19: (824, 426), 20: (695, 421), 21: (952, 428), 22: (1212, 436), 23: (312, 404), 24: (6, 369), 25: (447, 402), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (789, 334), 31: (666, 327), 32: (12, 325), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34)}\n",
 237        "{0: (762, 696), 1: (1136, 611), 2: (1009, 609), 3: (871, 605), 4: (746, 602), 5: (615, 600), 6: (225, 593), 7: (1173, 597), 8: (1093, 609), 9: (1232, 607), 10: (1238, 571), 11: (961, 605), 12: (835, 600), 13: (705, 595), 14: (576, 592), 15: (450, 576), 16: (321, 566), 17: (1077, 439), 18: (562, 420), 19: (824, 426), 20: (695, 421), 21: (952, 428), 22: (1212, 436), 23: (312, 404), 24: (6, 369), 25: (447, 402), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (789, 334), 31: (666, 327), 32: (12, 325), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34)}\n",
 238        "{0: (762, 696), 1: (1136, 611), 2: (1009, 609), 3: (871, 605), 4: (746, 602), 5: (615, 600), 6: (225, 593), 7: (1173, 597), 8: (1093, 609), 9: (1232, 607), 10: (1238, 571), 11: (961, 605), 12: (835, 600), 13: (705, 595), 14: (576, 592), 15: (450, 576), 16: (321, 566), 17: (1077, 439), 18: (562, 420), 19: (824, 426), 20: (695, 421), 21: (952, 428), 22: (1212, 436), 23: (312, 404), 24: (6, 369), 25: (447, 402), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (789, 334), 31: (666, 327), 32: (12, 325), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34)}\n",
 239        "{0: (762, 696), 1: (1136, 611), 2: (1009, 609), 3: (871, 605), 4: (746, 602), 5: (615, 600), 6: (225, 593), 7: (1173, 597), 8: (1093, 609), 9: (1232, 607), 10: (1238, 571), 11: (961, 605), 12: (835, 600), 13: (705, 595), 14: (576, 592), 15: (450, 576), 16: (321, 566), 17: (1077, 439), 18: (562, 420), 19: (824, 426), 20: (695, 421), 21: (952, 428), 22: (1212, 436), 23: (312, 404), 24: (6, 369), 25: (447, 402), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (789, 334), 31: (666, 327), 32: (12, 325), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34)}\n",
 240        "{0: (762, 696), 1: (1136, 611), 2: (1009, 609), 3: (871, 605), 4: (746, 602), 5: (615, 600), 6: (225, 593), 7: (1173, 597), 8: (1093, 609), 9: (1232, 607), 10: (1238, 571), 11: (961, 605), 12: (835, 600), 13: (705, 595), 14: (576, 592), 15: (450, 576), 16: (321, 566), 17: (1077, 439), 18: (562, 420), 19: (824, 426), 20: (695, 421), 21: (952, 428), 22: (1212, 436), 23: (312, 404), 24: (6, 369), 25: (447, 402), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (789, 334), 31: (666, 327), 32: (12, 325), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34)}\n",
 241        "{0: (762, 696), 1: (1136, 611), 2: (1009, 609), 3: (871, 605), 4: (746, 602), 5: (615, 600), 6: (225, 593), 7: (1173, 597), 8: (1093, 609), 9: (1232, 607), 10: (1238, 571), 11: (961, 605), 12: (835, 600), 13: (705, 595), 14: (576, 592), 15: (450, 576), 16: (321, 566), 17: (1077, 439), 18: (562, 420), 19: (824, 426), 20: (695, 421), 21: (952, 428), 22: (1212, 436), 23: (312, 404), 24: (6, 369), 25: (447, 402), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (789, 334), 31: (666, 327), 32: (12, 325), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34)}\n",
 242        "{0: (762, 696), 1: (1136, 611), 2: (1009, 609), 3: (871, 605), 4: (746, 602), 5: (615, 600), 6: (225, 593), 7: (1173, 597), 8: (1093, 609), 9: (1232, 607), 10: (1238, 571), 11: (961, 605), 12: (835, 600), 13: (705, 595), 14: (576, 592), 15: (450, 576), 16: (321, 566), 17: (1077, 439), 18: (562, 420), 19: (824, 426), 20: (695, 421), 21: (952, 428), 22: (1212, 436), 23: (312, 404), 24: (6, 369), 25: (447, 402), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (789, 334), 31: (666, 327), 32: (12, 325), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34)}\n",
 243        "{0: (762, 696), 1: (1136, 611), 2: (1009, 609), 3: (871, 605), 4: (746, 602), 5: (615, 600), 6: (225, 593), 7: (1173, 597), 8: (1093, 609), 9: (1232, 607), 10: (1238, 571), 11: (961, 605), 12: (835, 600), 13: (705, 595), 14: (576, 592), 15: (450, 576), 16: (321, 566), 17: (1077, 439), 18: (562, 420), 19: (824, 426), 20: (695, 421), 21: (952, 428), 22: (1212, 436), 23: (312, 404), 24: (6, 369), 25: (447, 402), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (789, 334), 31: (666, 327), 32: (12, 325), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34)}\n",
 244        "{0: (762, 696), 1: (1136, 611), 2: (1009, 609), 3: (871, 605), 4: (746, 602), 5: (615, 600), 6: (225, 593), 7: (1173, 597), 8: (1093, 609), 9: (1232, 607), 10: (1238, 571), 11: (961, 605), 12: (835, 600), 13: (705, 595), 14: (576, 592), 15: (450, 576), 16: (321, 566), 17: (1077, 439), 18: (562, 420), 19: (824, 426), 20: (695, 421), 21: (952, 428), 22: (1212, 436), 23: (312, 404), 24: (6, 369), 25: (447, 402), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (789, 334), 31: (666, 327), 32: (12, 325), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34)}\n",
 245        "{0: (762, 696), 1: (1136, 611), 2: (1009, 609), 3: (871, 605), 4: (746, 602), 5: (615, 600), 6: (225, 593), 7: (1173, 597), 8: (1093, 609), 9: (1232, 607), 10: (1238, 571), 11: (961, 605), 12: (835, 600), 13: (705, 595), 14: (576, 592), 15: (450, 576), 16: (321, 566), 17: (1077, 439), 18: (562, 420), 19: (824, 426), 20: (695, 421), 21: (952, 428), 22: (1212, 436), 23: (312, 404), 24: (6, 369), 25: (447, 402), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (789, 334), 31: (666, 327), 32: (12, 325), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34)}\n",
 246        "{0: (762, 696), 1: (1136, 611), 2: (1009, 609), 3: (871, 605), 4: (746, 602), 5: (615, 600), 6: (225, 593), 7: (1173, 597), 8: (1093, 609), 9: (1232, 607), 10: (1238, 571), 11: (961, 605), 12: (835, 600), 13: (705, 595), 14: (576, 592), 15: (450, 576), 16: (321, 566), 17: (1077, 439), 18: (562, 420), 19: (824, 426), 20: (695, 421), 21: (952, 428), 22: (1212, 436), 23: (312, 404), 24: (6, 369), 25: (447, 402), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (789, 334), 31: (666, 327), 32: (12, 325), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34)}\n",
 247        "{0: (762, 696), 1: (1136, 611), 2: (1009, 609), 3: (871, 605), 4: (746, 602), 5: (615, 600), 6: (225, 593), 7: (1173, 597), 8: (1093, 609), 9: (1232, 607), 10: (1238, 571), 11: (961, 605), 12: (835, 600), 13: (705, 595), 14: (576, 592), 15: (450, 576), 16: (321, 566), 17: (1077, 439), 18: (562, 420), 19: (824, 426), 20: (695, 421), 21: (952, 428), 22: (1212, 436), 23: (312, 404), 24: (6, 369), 25: (447, 402), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (789, 334), 31: (666, 327), 32: (12, 325), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34)}\n",
 248        "{0: (762, 696), 1: (1136, 611), 2: (1009, 609), 3: (871, 605), 4: (746, 602), 5: (615, 600), 6: (225, 593), 7: (1173, 597), 8: (1093, 609), 9: (1232, 607), 10: (1238, 571), 11: (961, 605), 12: (835, 600), 13: (705, 595), 14: (576, 592), 15: (450, 576), 16: (321, 566), 17: (1077, 439), 18: (562, 420), 19: (824, 426), 20: (695, 421), 21: (952, 428), 22: (1212, 436), 23: (312, 404), 24: (6, 369), 25: (447, 402), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (789, 334), 31: (666, 327), 32: (12, 325), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34)}\n",
 249        "{0: (762, 696), 1: (1136, 611), 2: (1009, 609), 3: (871, 605), 4: (746, 602), 5: (615, 600), 6: (225, 593), 7: (1173, 597), 8: (1093, 609), 9: (1232, 607), 10: (1238, 571), 11: (961, 605), 12: (835, 600), 13: (705, 595), 14: (576, 592), 15: (450, 576), 16: (321, 566), 17: (1077, 439), 18: (562, 420), 19: (824, 426), 20: (695, 421), 21: (952, 428), 22: (1212, 436), 23: (312, 404), 24: (6, 369), 25: (447, 402), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (789, 334), 31: (666, 327), 32: (12, 325), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34)}\n",
 250        "{0: (762, 696), 1: (1136, 611), 2: (1009, 609), 3: (871, 605), 4: (746, 602), 5: (615, 600), 6: (225, 593), 7: (1173, 597), 8: (1093, 609), 9: (1232, 607), 10: (1238, 571), 11: (961, 605), 12: (835, 600), 13: (705, 595), 14: (576, 592), 15: (450, 576), 16: (321, 566), 17: (1077, 439), 18: (562, 420), 19: (824, 426), 20: (695, 421), 21: (952, 428), 22: (1212, 436), 23: (312, 404), 24: (6, 369), 25: (447, 402), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (789, 334), 31: (666, 327), 32: (12, 325), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34)}\n",
 251        "{0: (762, 696), 1: (1136, 611), 2: (1009, 609), 3: (871, 605), 4: (746, 602), 5: (615, 600), 6: (225, 593), 7: (1173, 597), 8: (1093, 609), 9: (1232, 607), 10: (1238, 571), 11: (961, 605), 12: (835, 600), 13: (705, 595), 14: (576, 592), 15: (450, 576), 16: (321, 566), 17: (1077, 439), 18: (562, 420), 19: (824, 426), 20: (695, 421), 21: (952, 428), 22: (1212, 436), 23: (312, 404), 24: (6, 369), 25: (447, 402), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (789, 334), 31: (666, 327), 32: (12, 325), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34)}\n",
 252        "{0: (762, 696), 1: (1136, 611), 2: (1009, 609), 3: (871, 605), 4: (746, 602), 5: (615, 600), 6: (225, 593), 7: (1173, 597), 8: (1093, 609), 9: (1232, 607), 10: (1238, 571), 11: (961, 605), 12: (835, 600), 13: (705, 595), 14: (576, 592), 15: (450, 576), 16: (321, 566), 17: (1077, 439), 18: (562, 420), 19: (824, 426), 20: (695, 421), 21: (952, 428), 22: (1212, 436), 23: (312, 404), 24: (6, 369), 25: (447, 402), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (789, 334), 31: (666, 327), 32: (12, 325), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34)}\n",
 253        "{0: (762, 696), 1: (1136, 611), 2: (1009, 609), 3: (871, 605), 4: (746, 602), 5: (615, 600), 6: (225, 593), 7: (1173, 597), 8: (1093, 609), 9: (1232, 607), 10: (1238, 571), 11: (961, 605), 12: (835, 600), 13: (705, 595), 14: (576, 592), 15: (450, 576), 16: (321, 566), 17: (1077, 439), 18: (562, 420), 19: (824, 426), 20: (695, 421), 21: (952, 428), 22: (1212, 436), 23: (312, 404), 24: (6, 369), 25: (447, 402), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (789, 334), 31: (666, 327), 32: (12, 325), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34)}\n",
 254        "{0: (762, 696), 1: (1136, 611), 2: (1009, 609), 3: (871, 605), 4: (746, 602), 5: (615, 600), 6: (225, 593), 7: (1173, 597), 8: (1093, 609), 9: (1232, 607), 10: (1238, 571), 11: (961, 605), 12: (835, 600), 13: (705, 595), 14: (576, 592), 15: (450, 576), 16: (321, 566), 17: (1077, 439), 18: (562, 420), 19: (824, 426), 20: (695, 421), 21: (952, 428), 22: (1212, 436), 23: (312, 404), 24: (6, 369), 25: (447, 402), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (789, 334), 31: (666, 327), 32: (12, 325), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34)}\n",
 255        "{0: (762, 696), 1: (1136, 611), 2: (1009, 609), 3: (871, 605), 4: (746, 602), 5: (615, 600), 6: (225, 593), 7: (1173, 597), 8: (1093, 609), 9: (1232, 607), 10: (1238, 571), 11: (961, 605), 12: (835, 600), 13: (705, 595), 14: (576, 592), 15: (450, 576), 16: (321, 566), 17: (1077, 439), 18: (562, 420), 19: (824, 426), 20: (695, 421), 21: (952, 428), 22: (1212, 436), 23: (312, 404), 24: (6, 369), 25: (447, 402), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (789, 334), 31: (666, 327), 32: (12, 325), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34)}\n",
 256        "{0: (762, 696), 1: (1136, 611), 2: (1009, 609), 3: (871, 605), 4: (746, 602), 5: (615, 600), 6: (225, 593), 7: (1173, 597), 8: (1093, 609), 9: (1232, 607), 10: (1238, 571), 11: (961, 605), 12: (835, 600), 13: (705, 595), 14: (576, 592), 15: (450, 576), 16: (321, 566), 17: (1077, 439), 18: (562, 420), 19: (824, 426), 20: (695, 421), 21: (952, 428), 22: (1212, 436), 23: (312, 404), 24: (6, 369), 25: (447, 402), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (789, 334), 31: (666, 327), 32: (12, 325), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34)}\n",
 257        "{0: (762, 696), 1: (1136, 611), 2: (1009, 609), 3: (871, 605), 4: (746, 602), 5: (615, 600), 6: (225, 593), 7: (1173, 597), 8: (1093, 609), 9: (1232, 607), 10: (1238, 571), 11: (961, 605), 12: (835, 600), 13: (705, 595), 14: (576, 592), 15: (450, 576), 16: (321, 566), 17: (1077, 439), 18: (562, 420), 19: (824, 426), 20: (695, 421), 21: (952, 428), 22: (1212, 436), 23: (312, 404), 24: (6, 369), 25: (447, 402), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (789, 334), 31: (666, 327), 32: (12, 325), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34)}\n",
 258        "{0: (762, 696), 1: (1136, 611), 2: (1009, 609), 3: (871, 605), 4: (746, 602), 5: (615, 600), 6: (225, 593), 7: (1173, 597), 8: (1093, 609), 9: (1232, 607), 10: (1238, 571), 11: (961, 605), 12: (835, 600), 13: (705, 595), 14: (576, 592), 15: (450, 576), 16: (321, 566), 17: (1077, 439), 18: (562, 420), 19: (824, 426), 20: (695, 421), 21: (952, 428), 22: (1212, 436), 23: (312, 404), 24: (6, 369), 25: (447, 402), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (789, 334), 31: (666, 327), 32: (12, 325), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34)}\n",
 259        "{0: (762, 696), 1: (1136, 611), 2: (1009, 609), 3: (871, 605), 4: (746, 602), 5: (615, 600), 6: (225, 593), 7: (1173, 597), 8: (1093, 609), 9: (1232, 607), 10: (1238, 571), 11: (961, 605), 12: (835, 600), 13: (705, 595), 14: (576, 592), 15: (450, 576), 16: (321, 566), 17: (1077, 439), 18: (562, 420), 19: (824, 426), 20: (695, 421), 21: (952, 428), 22: (1212, 436), 23: (312, 404), 24: (6, 369), 25: (447, 402), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (789, 334), 31: (666, 327), 32: (12, 325), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34)}\n",
 260        "{0: (762, 696), 1: (1136, 611), 2: (1009, 609), 3: (871, 605), 4: (746, 602), 5: (615, 600), 6: (225, 593), 7: (1173, 597), 8: (1093, 609), 9: (1232, 607), 10: (1238, 571), 11: (961, 605), 12: (835, 600), 13: (705, 595), 14: (576, 592), 15: (450, 576), 16: (321, 566), 17: (1077, 439), 18: (562, 420), 19: (824, 426), 20: (695, 421), 21: (952, 428), 22: (1212, 436), 23: (312, 404), 24: (6, 369), 25: (447, 402), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (789, 334), 31: (666, 327), 32: (12, 325), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34)}\n",
 261        "{0: (762, 696), 1: (1136, 611), 2: (1009, 609), 3: (871, 605), 4: (746, 602), 5: (615, 600), 6: (225, 593), 7: (1173, 597), 8: (1093, 609), 9: (1232, 607), 10: (1238, 571), 11: (961, 605), 12: (835, 600), 13: (705, 595), 14: (576, 592), 15: (450, 576), 16: (321, 566), 17: (1077, 439), 18: (562, 420), 19: (824, 426), 20: (695, 421), 21: (952, 428), 22: (1212, 436), 23: (312, 404), 24: (6, 369), 25: (447, 402), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (789, 334), 31: (666, 327), 32: (12, 325), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34)}\n",
 262        "{0: (762, 696), 1: (1136, 611), 2: (1009, 609), 3: (871, 605), 4: (746, 602), 5: (615, 600), 6: (225, 593), 7: (1173, 597), 8: (1093, 609), 9: (1232, 607), 10: (1238, 571), 11: (961, 605), 12: (835, 600), 13: (705, 595), 14: (576, 592), 15: (450, 576), 16: (321, 566), 17: (1077, 439), 18: (562, 420), 19: (824, 426), 20: (695, 421), 21: (952, 428), 22: (1212, 436), 23: (312, 404), 24: (6, 369), 25: (447, 402), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (789, 334), 31: (666, 327), 32: (12, 325), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34)}\n",
 263        "{0: (762, 696), 1: (1136, 611), 2: (1009, 609), 3: (871, 605), 4: (746, 602), 5: (615, 600), 6: (225, 593), 7: (1173, 597), 8: (1093, 609), 9: (1232, 607), 10: (1238, 571), 11: (961, 605), 12: (835, 600), 13: (705, 595), 14: (576, 592), 15: (450, 576), 16: (321, 566), 17: (1077, 439), 18: (562, 420), 19: (824, 426), 20: (695, 421), 21: (952, 428), 22: (1212, 436), 23: (312, 404), 24: (6, 369), 25: (447, 402), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (789, 334), 31: (666, 327), 32: (12, 325), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34)}\n",
 264        "{0: (762, 696), 1: (1136, 611), 2: (1009, 609), 3: (871, 605), 4: (746, 602), 5: (615, 600), 6: (225, 593), 7: (1173, 597), 8: (1093, 609), 9: (1232, 607), 10: (1238, 571), 11: (961, 605), 12: (835, 600), 13: (705, 595), 14: (576, 592), 15: (450, 576), 16: (321, 566), 17: (1077, 439), 18: (562, 420), 19: (824, 426), 20: (695, 421), 21: (952, 428), 22: (1212, 436), 23: (312, 404), 24: (6, 369), 25: (447, 402), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (789, 334), 31: (666, 327), 32: (12, 325), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34)}\n",
 265        "{0: (762, 696), 1: (1136, 611), 2: (1009, 609), 3: (871, 605), 4: (746, 602), 5: (615, 600), 6: (225, 593), 7: (1173, 597), 8: (1093, 609), 9: (1232, 607), 10: (1238, 571), 11: (961, 605), 12: (835, 600), 13: (705, 595), 14: (576, 592), 15: (450, 576), 16: (321, 566), 17: (1077, 439), 18: (562, 420), 19: (824, 426), 20: (695, 421), 21: (952, 428), 22: (1212, 436), 23: (312, 404), 24: (6, 369), 25: (447, 402), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (789, 334), 31: (666, 327), 32: (12, 325), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34)}\n",
 266        "{0: (762, 696), 1: (1136, 611), 2: (1009, 609), 3: (871, 605), 4: (746, 602), 5: (615, 600), 6: (225, 593), 7: (1173, 597), 8: (1093, 609), 9: (1232, 607), 10: (1238, 571), 11: (961, 605), 12: (835, 600), 13: (705, 595), 14: (576, 592), 15: (450, 576), 16: (321, 566), 17: (1077, 439), 18: (562, 420), 19: (824, 426), 20: (695, 421), 21: (952, 428), 22: (1212, 436), 23: (312, 404), 24: (6, 369), 25: (447, 402), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (789, 334), 31: (666, 327), 32: (12, 325), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34)}\n",
 267        "{0: (762, 696), 1: (1136, 611), 2: (1009, 609), 3: (871, 605), 4: (746, 602), 5: (615, 600), 6: (225, 593), 7: (1173, 597), 8: (1093, 609), 9: (1232, 607), 10: (1238, 571), 11: (961, 605), 12: (835, 600), 13: (705, 595), 14: (576, 592), 15: (450, 576), 16: (321, 566), 17: (1077, 439), 18: (562, 420), 19: (824, 426), 20: (695, 421), 21: (952, 428), 22: (1212, 436), 23: (312, 404), 24: (6, 369), 25: (447, 402), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (789, 334), 31: (666, 327), 32: (12, 325), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34)}\n",
 268        "{0: (762, 696), 1: (1136, 611), 2: (1009, 609), 3: (871, 605), 4: (746, 602), 5: (615, 600), 6: (225, 593), 7: (1173, 597), 8: (1093, 609), 9: (1232, 607), 10: (1238, 571), 11: (961, 605), 12: (835, 600), 13: (705, 595), 14: (576, 592), 15: (450, 576), 16: (321, 566), 17: (1077, 439), 18: (562, 420), 19: (824, 426), 20: (695, 421), 21: (952, 428), 22: (1212, 436), 23: (312, 404), 24: (6, 369), 25: (447, 402), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (789, 334), 31: (666, 327), 32: (12, 325), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34)}\n",
 269        "{0: (762, 696), 1: (1136, 611), 2: (1009, 609), 3: (871, 605), 4: (746, 602), 5: (615, 600), 6: (225, 593), 7: (1173, 597), 8: (1093, 609), 9: (1232, 607), 10: (1238, 571), 11: (961, 605), 12: (835, 600), 13: (705, 595), 14: (576, 592), 15: (450, 576), 16: (321, 566), 17: (1077, 439), 18: (562, 420), 19: (824, 426), 20: (695, 421), 21: (952, 428), 22: (1212, 436), 23: (312, 404), 24: (6, 369), 25: (447, 402), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (789, 334), 31: (666, 327), 32: (12, 325), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34)}\n",
 270        "{0: (762, 696), 1: (1136, 611), 2: (1009, 609), 3: (871, 605), 4: (746, 602), 5: (615, 600), 6: (225, 593), 7: (1173, 597), 8: (1093, 609), 9: (1232, 607), 10: (1238, 571), 11: (961, 605), 12: (835, 600), 13: (705, 595), 14: (576, 592), 15: (450, 576), 16: (321, 566), 17: (1077, 439), 18: (562, 420), 19: (824, 426), 20: (695, 421), 21: (952, 428), 22: (1212, 436), 23: (312, 404), 24: (6, 369), 25: (447, 402), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (789, 334), 31: (666, 327), 32: (12, 325), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34)}\n",
 271        "{0: (762, 696), 1: (1136, 611), 2: (1009, 609), 3: (871, 605), 4: (746, 602), 5: (615, 600), 6: (225, 593), 7: (1173, 597), 8: (1093, 609), 9: (1232, 607), 10: (1238, 571), 11: (961, 605), 12: (835, 600), 13: (705, 595), 14: (576, 592), 15: (450, 576), 16: (321, 566), 17: (1077, 439), 18: (562, 420), 19: (824, 426), 20: (695, 421), 21: (952, 428), 22: (1212, 436), 23: (312, 404), 24: (6, 369), 25: (447, 402), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (789, 334), 31: (666, 327), 32: (12, 325), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34)}\n",
 272        "{0: (762, 696), 1: (1136, 611), 2: (1009, 609), 3: (871, 605), 4: (746, 602), 5: (615, 600), 6: (225, 593), 7: (1173, 597), 8: (1093, 609), 9: (1232, 607), 10: (1238, 571), 11: (961, 605), 12: (835, 600), 13: (705, 595), 14: (576, 592), 15: (450, 576), 16: (321, 566), 17: (1077, 439), 18: (562, 420), 19: (824, 426), 20: (695, 421), 21: (952, 428), 22: (1212, 436), 23: (312, 404), 24: (6, 369), 25: (447, 402), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (789, 334), 31: (666, 327), 32: (12, 325), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34)}\n",
 273        "{0: (762, 696), 1: (1136, 611), 2: (1009, 609), 3: (871, 605), 4: (746, 602), 5: (615, 600), 6: (225, 593), 7: (1173, 597), 8: (1093, 609), 9: (1232, 607), 10: (1238, 571), 11: (961, 605), 12: (835, 600), 13: (705, 595), 14: (576, 592), 15: (450, 576), 16: (321, 566), 17: (1077, 439), 18: (562, 420), 19: (824, 426), 20: (695, 421), 21: (952, 428), 22: (1212, 436), 23: (312, 404), 24: (6, 369), 25: (447, 402), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (789, 334), 31: (666, 327), 32: (12, 325), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34)}\n",
 274        "{0: (762, 696), 1: (1136, 611), 2: (1009, 609), 3: (871, 605), 4: (746, 602), 5: (615, 600), 6: (225, 593), 7: (1173, 597), 8: (1093, 609), 9: (1232, 607), 10: (1238, 571), 11: (961, 605), 12: (835, 600), 13: (705, 595), 14: (576, 592), 15: (450, 576), 16: (321, 566), 17: (1077, 439), 18: (562, 420), 19: (824, 426), 20: (695, 421), 21: (952, 428), 22: (1212, 436), 23: (312, 404), 24: (6, 369), 25: (447, 402), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (789, 334), 31: (666, 327), 32: (12, 325), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34)}\n",
 275        "{0: (762, 696), 1: (1136, 611), 2: (1009, 609), 3: (871, 605), 4: (746, 602), 5: (615, 600), 6: (225, 593), 7: (1173, 597), 8: (1093, 609), 9: (1232, 607), 10: (1238, 571), 11: (961, 605), 12: (835, 600), 13: (705, 595), 14: (576, 592), 15: (450, 576), 16: (321, 566), 17: (1077, 439), 18: (562, 420), 19: (824, 426), 20: (695, 421), 21: (952, 428), 22: (1212, 436), 23: (312, 404), 24: (6, 369), 25: (447, 402), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (789, 334), 31: (666, 327), 32: (12, 325), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34)}\n",
 276        "{0: (762, 696), 1: (1136, 611), 2: (1009, 609), 3: (871, 605), 4: (746, 602), 5: (615, 600), 6: (225, 593), 7: (1173, 597), 8: (1093, 609), 9: (1232, 607), 10: (1238, 571), 11: (961, 605), 12: (835, 600), 13: (705, 595), 14: (576, 592), 15: (450, 576), 16: (321, 566), 17: (1077, 439), 18: (562, 420), 19: (824, 426), 20: (695, 421), 21: (952, 428), 22: (1212, 436), 23: (312, 404), 24: (6, 369), 25: (447, 402), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (789, 334), 31: (666, 327), 32: (12, 325), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (708, 254), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34)}\n",
 277        "{0: (762, 696), 1: (1136, 611), 2: (1009, 609), 3: (871, 605), 4: (746, 602), 5: (615, 600), 6: (225, 593), 7: (1173, 597), 8: (1093, 609), 9: (1232, 607), 10: (1238, 571), 11: (961, 605), 12: (835, 600), 13: (705, 595), 14: (576, 592), 15: (450, 576), 16: (321, 566), 17: (1077, 439), 18: (562, 420), 19: (824, 426), 20: (695, 421), 21: (952, 428), 22: (1212, 436), 23: (312, 404), 24: (6, 369), 25: (447, 402), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (789, 334), 31: (666, 327), 32: (12, 325), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (708, 254), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34)}\n",
 278        "{0: (762, 696), 1: (1136, 611), 2: (1009, 609), 3: (871, 605), 4: (746, 602), 5: (615, 600), 6: (225, 593), 7: (1173, 597), 8: (1093, 609), 9: (1232, 607), 10: (1238, 571), 11: (961, 605), 12: (835, 600), 13: (705, 595), 14: (576, 592), 15: (450, 576), 16: (321, 566), 17: (1077, 439), 18: (562, 420), 19: (824, 426), 20: (695, 421), 21: (952, 428), 22: (1212, 436), 23: (312, 404), 24: (6, 369), 25: (447, 402), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (789, 334), 31: (666, 327), 32: (12, 325), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (708, 254), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34)}\n",
 279        "{0: (762, 696), 1: (1136, 611), 2: (1009, 609), 3: (871, 605), 4: (746, 602), 5: (615, 600), 6: (225, 593), 7: (1173, 597), 8: (1093, 609), 9: (1232, 607), 10: (1238, 571), 11: (961, 605), 12: (835, 600), 13: (705, 595), 14: (576, 592), 15: (450, 576), 16: (321, 566), 17: (1077, 439), 18: (562, 420), 19: (824, 426), 20: (695, 421), 21: (952, 428), 22: (1212, 436), 23: (312, 404), 24: (6, 369), 25: (447, 402), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (789, 334), 31: (666, 327), 32: (12, 325), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (708, 254), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34)}\n",
 280        "{0: (762, 696), 1: (1136, 611), 2: (1009, 609), 3: (871, 605), 4: (746, 602), 5: (615, 600), 6: (225, 593), 7: (1173, 597), 8: (1093, 609), 9: (1232, 607), 10: (1238, 571), 11: (961, 605), 12: (835, 600), 13: (705, 595), 14: (576, 592), 15: (450, 576), 16: (321, 566), 17: (1077, 439), 18: (562, 420), 19: (824, 426), 20: (695, 421), 21: (952, 428), 22: (1212, 436), 23: (312, 404), 24: (6, 369), 25: (447, 402), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (789, 334), 31: (666, 327), 32: (12, 325), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (708, 254), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34)}\n",
 281        "{0: (762, 696), 1: (1136, 611), 2: (1009, 609), 3: (871, 605), 4: (746, 602), 5: (615, 600), 6: (225, 593), 7: (1173, 597), 8: (1093, 609), 9: (1232, 607), 10: (1238, 571), 11: (961, 605), 12: (835, 600), 13: (705, 595), 14: (576, 592), 15: (450, 576), 16: (321, 566), 17: (1077, 439), 18: (562, 420), 19: (824, 426), 20: (695, 421), 21: (952, 428), 22: (1212, 436), 23: (312, 404), 24: (6, 369), 25: (447, 402), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (789, 334), 31: (666, 327), 32: (12, 325), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (708, 254), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34)}\n",
 282        "{0: (762, 696), 1: (1136, 611), 2: (1009, 609), 3: (871, 605), 4: (746, 602), 5: (615, 600), 6: (225, 593), 7: (1173, 597), 8: (1093, 609), 9: (1232, 607), 10: (1238, 571), 11: (961, 605), 12: (835, 600), 13: (705, 595), 14: (576, 592), 15: (450, 576), 16: (321, 566), 17: (1077, 439), 18: (562, 420), 19: (824, 426), 20: (695, 421), 21: (952, 428), 22: (1212, 436), 23: (312, 404), 24: (6, 369), 25: (447, 402), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (789, 334), 31: (666, 327), 32: (12, 325), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (708, 254), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34)}\n",
 283        "{0: (762, 696), 1: (1136, 611), 2: (1009, 609), 3: (871, 605), 4: (746, 602), 5: (615, 600), 6: (225, 593), 7: (1173, 597), 8: (1093, 609), 9: (1232, 607), 10: (1238, 571), 11: (961, 605), 12: (835, 600), 13: (705, 595), 14: (576, 592), 15: (450, 576), 16: (321, 566), 17: (1077, 439), 18: (562, 420), 19: (824, 426), 20: (695, 421), 21: (952, 428), 22: (1212, 436), 23: (312, 404), 24: (6, 369), 25: (447, 402), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (789, 334), 31: (666, 327), 32: (12, 325), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (708, 254), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34)}\n",
 284        "{0: (762, 696), 1: (1136, 611), 2: (1009, 609), 3: (871, 605), 4: (746, 602), 5: (615, 600), 6: (225, 593), 7: (1173, 597), 8: (1093, 609), 9: (1232, 607), 10: (1238, 571), 11: (961, 605), 12: (835, 600), 13: (705, 595), 14: (576, 592), 15: (450, 576), 16: (321, 566), 17: (1077, 439), 18: (562, 420), 19: (824, 426), 20: (695, 421), 21: (952, 428), 22: (1212, 436), 23: (312, 404), 24: (6, 369), 25: (447, 402), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (789, 334), 31: (666, 327), 32: (12, 325), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34)}\n",
 285        "{0: (762, 696), 1: (1136, 611), 2: (1009, 609), 3: (871, 605), 4: (746, 602), 5: (615, 600), 6: (225, 593), 7: (1173, 597), 8: (1093, 609), 9: (1232, 607), 10: (1238, 571), 11: (961, 605), 12: (835, 600), 13: (705, 595), 14: (576, 592), 15: (450, 576), 16: (321, 566), 17: (1077, 439), 18: (562, 420), 19: (824, 426), 20: (695, 421), 21: (952, 428), 22: (1212, 436), 23: (312, 404), 24: (6, 369), 25: (447, 402), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (789, 334), 31: (666, 327), 32: (12, 325), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34)}\n",
 286        "{0: (762, 696), 1: (1136, 611), 2: (1009, 609), 3: (871, 605), 4: (746, 602), 5: (615, 600), 6: (225, 593), 7: (1173, 597), 8: (1093, 609), 9: (1232, 607), 10: (1238, 571), 11: (961, 605), 12: (835, 600), 13: (705, 595), 14: (576, 592), 15: (450, 576), 16: (321, 566), 17: (1077, 439), 18: (562, 420), 19: (824, 426), 20: (695, 421), 21: (952, 428), 22: (1212, 436), 23: (312, 404), 24: (6, 369), 25: (447, 402), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (789, 334), 31: (666, 327), 32: (12, 325), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34)}\n",
 287        "{0: (762, 696), 1: (1136, 611), 2: (1009, 609), 3: (871, 605), 4: (746, 602), 5: (615, 600), 6: (225, 593), 7: (1173, 597), 8: (1093, 609), 9: (1232, 607), 10: (1238, 571), 11: (961, 605), 12: (835, 600), 13: (705, 595), 14: (576, 592), 15: (450, 576), 16: (321, 566), 17: (1077, 439), 18: (562, 420), 19: (824, 426), 20: (695, 421), 21: (952, 428), 22: (1212, 436), 23: (312, 404), 24: (6, 369), 25: (447, 402), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (789, 334), 31: (666, 327), 32: (12, 325), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34)}\n",
 288        "{0: (762, 696), 1: (1136, 611), 2: (1009, 609), 3: (871, 605), 4: (746, 602), 5: (615, 600), 6: (225, 593), 7: (1173, 597), 8: (1093, 609), 9: (1232, 607), 10: (1238, 571), 11: (961, 605), 12: (835, 600), 13: (705, 595), 14: (576, 592), 15: (450, 576), 16: (321, 566), 17: (1077, 439), 18: (562, 420), 19: (824, 426), 20: (695, 421), 21: (952, 428), 22: (1212, 436), 23: (312, 404), 24: (6, 369), 25: (447, 402), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (789, 334), 31: (666, 327), 32: (12, 325), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34)}\n",
 289        "{0: (762, 696), 1: (1136, 611), 2: (1009, 609), 3: (871, 605), 4: (746, 602), 5: (615, 600), 6: (225, 593), 7: (1173, 597), 8: (1093, 609), 9: (1232, 607), 10: (1238, 571), 11: (961, 605), 12: (835, 600), 13: (705, 595), 14: (576, 592), 15: (450, 576), 16: (321, 566), 17: (1077, 439), 18: (562, 420), 19: (824, 426), 20: (695, 421), 21: (952, 428), 22: (1212, 436), 23: (312, 404), 24: (6, 369), 25: (447, 402), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (789, 334), 31: (666, 327), 32: (12, 325), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34)}\n",
 290        "{0: (762, 696), 1: (1136, 611), 2: (1009, 609), 3: (871, 605), 4: (746, 602), 5: (615, 600), 6: (225, 593), 7: (1173, 597), 8: (1093, 609), 9: (1232, 607), 10: (1238, 571), 11: (961, 605), 12: (835, 600), 13: (705, 595), 14: (576, 592), 15: (450, 576), 16: (321, 566), 17: (1077, 439), 18: (562, 420), 19: (824, 426), 20: (695, 421), 21: (952, 428), 22: (1212, 436), 23: (312, 404), 24: (6, 369), 25: (447, 402), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (789, 334), 31: (666, 327), 32: (12, 325), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34)}\n",
 291        "{0: (762, 696), 1: (1136, 611), 2: (1009, 609), 3: (871, 605), 4: (746, 602), 5: (615, 600), 6: (225, 593), 7: (1173, 597), 8: (1093, 609), 9: (1232, 607), 10: (1238, 571), 11: (961, 605), 12: (835, 600), 13: (705, 595), 14: (576, 592), 15: (450, 576), 16: (321, 566), 17: (1077, 439), 18: (562, 420), 19: (824, 426), 20: (695, 421), 21: (952, 428), 22: (1212, 436), 23: (312, 404), 24: (6, 369), 25: (447, 402), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (789, 334), 31: (666, 327), 32: (12, 325), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34)}\n",
 292        "{0: (762, 696), 1: (1136, 611), 2: (1009, 609), 3: (871, 605), 4: (746, 602), 5: (615, 600), 6: (225, 593), 7: (1173, 597), 8: (1093, 609), 9: (1232, 607), 10: (1238, 571), 11: (961, 605), 12: (835, 600), 13: (705, 595), 14: (576, 592), 15: (450, 576), 16: (321, 566), 17: (1077, 439), 18: (562, 420), 19: (824, 426), 20: (695, 421), 21: (952, 428), 22: (1212, 436), 23: (312, 404), 24: (6, 369), 25: (447, 402), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (789, 334), 31: (666, 327), 32: (12, 325), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34)}\n",
 293        "{0: (762, 696), 1: (1136, 611), 2: (1009, 609), 3: (871, 605), 4: (746, 602), 5: (615, 600), 6: (225, 593), 7: (1173, 597), 8: (1093, 609), 9: (1232, 607), 10: (1238, 571), 11: (961, 605), 12: (835, 600), 13: (705, 595), 14: (576, 592), 15: (450, 576), 16: (321, 566), 17: (1077, 439), 18: (562, 420), 19: (824, 426), 20: (695, 421), 21: (952, 428), 22: (1212, 436), 23: (312, 404), 24: (6, 369), 25: (447, 402), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (789, 334), 31: (666, 327), 32: (12, 325), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34)}\n",
 294        "{0: (762, 696), 1: (1136, 611), 2: (1009, 609), 3: (871, 605), 4: (746, 602), 5: (615, 600), 6: (225, 593), 7: (1173, 597), 8: (1093, 609), 9: (1232, 607), 10: (1238, 571), 11: (961, 605), 12: (835, 600), 13: (705, 595), 14: (576, 592), 15: (450, 576), 16: (321, 566), 17: (1077, 439), 18: (562, 420), 19: (824, 426), 20: (695, 421), 21: (952, 428), 22: (1212, 436), 23: (312, 404), 24: (6, 369), 25: (447, 402), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (789, 334), 31: (666, 327), 32: (12, 325), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34)}\n",
 295        "{0: (762, 696), 1: (1136, 611), 2: (1009, 609), 3: (871, 605), 4: (746, 602), 5: (615, 600), 6: (225, 593), 7: (1173, 597), 8: (1093, 609), 9: (1232, 607), 10: (1238, 571), 11: (961, 605), 12: (835, 600), 13: (705, 595), 14: (576, 592), 15: (450, 576), 16: (321, 566), 17: (1077, 439), 18: (562, 420), 19: (824, 426), 20: (695, 421), 21: (952, 428), 22: (1212, 436), 23: (312, 404), 24: (6, 369), 25: (447, 402), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (789, 334), 31: (666, 327), 32: (12, 325), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34)}\n",
 296        "{0: (762, 696), 1: (1136, 611), 2: (1009, 609), 3: (871, 605), 4: (746, 602), 5: (615, 600), 6: (225, 593), 7: (1173, 597), 8: (1093, 609), 9: (1232, 607), 10: (1238, 571), 11: (961, 605), 12: (835, 600), 13: (705, 595), 14: (576, 592), 15: (450, 576), 16: (321, 566), 17: (1077, 439), 18: (562, 420), 19: (824, 426), 20: (695, 421), 21: (952, 428), 22: (1212, 436), 23: (312, 404), 24: (6, 369), 25: (447, 402), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (789, 334), 31: (666, 327), 32: (12, 325), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34)}\n",
 297        "{0: (762, 696), 1: (1136, 611), 2: (1009, 609), 3: (871, 605), 4: (746, 602), 5: (615, 600), 6: (225, 593), 7: (1173, 597), 8: (1093, 609), 9: (1232, 607), 10: (1238, 571), 11: (961, 605), 12: (835, 600), 13: (705, 595), 14: (576, 592), 15: (450, 576), 16: (321, 566), 17: (1077, 439), 18: (562, 420), 19: (824, 426), 20: (695, 421), 21: (952, 428), 22: (1212, 436), 23: (312, 404), 24: (6, 369), 25: (447, 402), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (789, 334), 31: (666, 327), 32: (12, 325), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34)}\n",
 298        "{0: (762, 696), 1: (1136, 611), 2: (1009, 609), 3: (871, 605), 4: (746, 602), 5: (615, 600), 6: (225, 593), 7: (1173, 597), 8: (1093, 609), 9: (1232, 607), 10: (1238, 571), 11: (961, 605), 12: (835, 600), 13: (705, 595), 14: (576, 592), 15: (450, 576), 16: (321, 566), 17: (1077, 439), 18: (562, 420), 19: (824, 426), 20: (695, 421), 21: (952, 428), 22: (1212, 436), 23: (312, 404), 24: (6, 369), 25: (447, 402), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (789, 334), 31: (666, 327), 32: (12, 325), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34)}\n",
 299        "{0: (762, 696), 1: (1136, 611), 2: (1009, 609), 3: (871, 605), 4: (746, 602), 5: (615, 600), 6: (225, 593), 7: (1173, 597), 8: (1093, 609), 9: (1232, 607), 10: (1238, 571), 11: (961, 605), 12: (835, 600), 13: (705, 595), 14: (576, 592), 15: (450, 576), 16: (321, 566), 17: (1077, 439), 18: (562, 420), 19: (824, 426), 20: (695, 421), 21: (952, 428), 22: (1212, 436), 23: (312, 404), 24: (6, 369), 25: (447, 402), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (789, 334), 31: (666, 327), 32: (12, 325), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34)}\n",
 300        "{0: (762, 696), 1: (1136, 611), 2: (1009, 609), 3: (871, 605), 4: (746, 602), 5: (615, 600), 6: (225, 593), 7: (1173, 597), 8: (1093, 609), 9: (1232, 607), 10: (1238, 571), 11: (961, 605), 12: (835, 600), 13: (705, 595), 14: (576, 592), 15: (450, 576), 16: (321, 566), 17: (1077, 439), 18: (562, 420), 19: (824, 426), 20: (695, 421), 21: (952, 428), 22: (1212, 436), 23: (312, 404), 24: (6, 369), 25: (447, 402), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (789, 334), 31: (666, 327), 32: (12, 325), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34)}\n",
 301        "{0: (762, 696), 1: (1136, 611), 2: (1009, 609), 3: (871, 605), 4: (746, 602), 5: (615, 600), 6: (225, 593), 7: (1173, 597), 8: (1093, 609), 9: (1232, 607), 10: (1238, 571), 11: (961, 605), 12: (835, 600), 13: (705, 595), 14: (576, 592), 15: (450, 576), 16: (321, 566), 17: (1077, 439), 18: (562, 420), 19: (824, 426), 20: (695, 421), 21: (952, 428), 22: (1212, 436), 23: (312, 404), 24: (6, 369), 25: (447, 402), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (789, 334), 31: (666, 327), 32: (12, 325), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34)}\n",
 302        "{0: (762, 696), 1: (1136, 611), 2: (1009, 609), 3: (871, 605), 4: (746, 602), 5: (615, 600), 6: (225, 593), 7: (1173, 597), 8: (1093, 609), 9: (1232, 607), 10: (1238, 571), 11: (961, 605), 12: (835, 600), 13: (705, 595), 14: (576, 592), 15: (450, 576), 16: (321, 566), 17: (1077, 439), 18: (562, 420), 19: (824, 426), 20: (695, 421), 21: (952, 428), 22: (1212, 436), 23: (312, 404), 24: (6, 369), 25: (447, 402), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (789, 334), 31: (666, 327), 32: (12, 325), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34)}\n",
 303        "{0: (762, 696), 1: (1136, 611), 2: (1009, 609), 3: (871, 605), 4: (746, 602), 5: (615, 600), 6: (225, 593), 7: (1173, 597), 8: (1093, 609), 9: (1232, 607), 10: (1238, 571), 11: (961, 605), 12: (835, 600), 13: (705, 595), 14: (576, 592), 15: (450, 576), 16: (321, 566), 17: (1077, 439), 18: (562, 420), 19: (824, 426), 20: (695, 421), 21: (952, 428), 22: (1212, 436), 23: (312, 404), 24: (6, 369), 25: (447, 402), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (789, 334), 31: (666, 327), 32: (12, 325), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34)}\n",
 304        "{0: (762, 696), 1: (1136, 611), 2: (1009, 609), 3: (871, 605), 4: (746, 602), 5: (615, 600), 6: (225, 593), 7: (1173, 597), 8: (1093, 609), 9: (1232, 607), 10: (1238, 571), 11: (961, 605), 12: (835, 600), 13: (705, 595), 14: (576, 592), 15: (450, 576), 16: (321, 566), 17: (1077, 439), 18: (562, 420), 19: (824, 426), 20: (695, 421), 21: (952, 428), 22: (1212, 436), 23: (312, 404), 24: (6, 369), 25: (447, 402), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (789, 334), 31: (666, 327), 32: (12, 325), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34)}\n",
 305        "{0: (762, 696), 1: (1136, 611), 2: (1009, 609), 3: (871, 605), 4: (746, 602), 5: (615, 600), 6: (225, 593), 7: (1173, 597), 8: (1093, 609), 9: (1232, 607), 10: (1238, 571), 11: (961, 605), 12: (835, 600), 13: (705, 595), 14: (576, 592), 15: (450, 576), 16: (321, 566), 17: (1077, 439), 18: (562, 420), 19: (824, 426), 20: (695, 421), 21: (952, 428), 22: (1212, 436), 23: (312, 404), 24: (6, 369), 25: (447, 402), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (789, 334), 31: (666, 327), 32: (12, 325), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34)}\n",
 306        "{0: (762, 696), 1: (1136, 611), 2: (1009, 609), 3: (871, 605), 4: (746, 602), 5: (615, 600), 6: (225, 593), 7: (1173, 597), 8: (1093, 609), 9: (1232, 607), 10: (1238, 571), 11: (961, 605), 12: (835, 600), 13: (705, 595), 14: (576, 592), 15: (450, 576), 16: (321, 566), 17: (1077, 439), 18: (562, 420), 19: (824, 426), 20: (695, 421), 21: (952, 428), 22: (1212, 436), 23: (312, 404), 24: (6, 369), 25: (447, 402), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (789, 334), 31: (666, 327), 32: (12, 325), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34)}\n",
 307        "{0: (762, 696), 1: (1136, 611), 2: (1009, 609), 3: (871, 605), 4: (746, 602), 5: (615, 600), 6: (225, 593), 7: (1173, 597), 8: (1093, 609), 9: (1232, 607), 10: (1238, 571), 11: (961, 605), 12: (835, 600), 13: (705, 595), 14: (576, 592), 15: (450, 576), 16: (321, 566), 17: (1077, 439), 18: (562, 420), 19: (824, 426), 20: (695, 421), 21: (952, 428), 22: (1212, 436), 23: (312, 404), 24: (6, 369), 25: (447, 402), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (789, 334), 31: (666, 327), 32: (12, 325), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34)}\n",
 308        "{0: (762, 696), 1: (1136, 611), 2: (1009, 609), 3: (871, 605), 4: (746, 602), 5: (615, 600), 6: (225, 593), 7: (1173, 597), 8: (1093, 609), 9: (1232, 607), 10: (1238, 571), 11: (961, 605), 12: (835, 600), 13: (705, 595), 14: (576, 592), 15: (450, 576), 16: (321, 566), 17: (1077, 439), 18: (562, 420), 19: (824, 426), 20: (695, 421), 21: (952, 428), 22: (1212, 436), 23: (312, 404), 24: (6, 369), 25: (447, 402), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (789, 334), 31: (666, 327), 32: (12, 325), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34)}\n",
 309        "{0: (762, 696), 1: (1136, 611), 2: (1009, 609), 3: (871, 605), 4: (746, 602), 5: (615, 600), 6: (225, 593), 7: (1173, 597), 8: (1093, 609), 9: (1232, 607), 10: (1238, 571), 11: (961, 605), 12: (835, 600), 13: (705, 595), 14: (576, 592), 15: (450, 576), 16: (321, 566), 17: (1077, 439), 18: (562, 420), 19: (824, 426), 20: (695, 421), 21: (952, 428), 22: (1212, 436), 23: (312, 404), 24: (6, 369), 25: (447, 402), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (789, 334), 31: (666, 327), 32: (12, 325), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34)}\n",
 310        "{0: (762, 696), 1: (1136, 611), 2: (1009, 609), 3: (871, 605), 4: (746, 602), 5: (615, 600), 6: (225, 593), 7: (1173, 597), 8: (1093, 609), 9: (1232, 607), 10: (1238, 571), 11: (961, 605), 12: (835, 600), 13: (705, 595), 14: (576, 592), 15: (450, 576), 16: (321, 566), 17: (1077, 439), 18: (562, 420), 19: (824, 426), 20: (695, 421), 21: (952, 428), 22: (1212, 436), 23: (312, 404), 24: (6, 369), 25: (447, 402), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (789, 334), 31: (666, 327), 32: (12, 325), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (901, 69), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34)}\n",
 311        "{0: (762, 696), 1: (1136, 611), 2: (1009, 609), 3: (871, 605), 4: (746, 602), 5: (615, 600), 6: (225, 593), 7: (1173, 597), 8: (1093, 609), 9: (1232, 607), 10: (1238, 571), 11: (961, 605), 12: (835, 600), 13: (705, 595), 14: (576, 592), 15: (450, 576), 16: (321, 566), 17: (1077, 439), 18: (562, 420), 19: (824, 426), 20: (695, 421), 21: (952, 428), 22: (1212, 436), 23: (312, 404), 24: (6, 369), 25: (447, 402), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (789, 334), 31: (666, 327), 32: (12, 325), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (901, 69), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34)}\n",
 312        "{0: (762, 696), 1: (1136, 611), 2: (1009, 609), 3: (871, 605), 4: (746, 602), 5: (615, 600), 6: (225, 593), 7: (1173, 597), 8: (1093, 609), 9: (1232, 607), 10: (1238, 571), 11: (961, 605), 12: (835, 600), 13: (705, 595), 14: (576, 592), 15: (450, 576), 16: (321, 566), 17: (1077, 439), 18: (562, 420), 19: (824, 426), 20: (695, 421), 21: (952, 428), 22: (1212, 436), 23: (312, 404), 24: (6, 369), 25: (447, 402), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (789, 334), 31: (666, 327), 32: (12, 325), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (901, 69), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34)}\n",
 313        "{0: (762, 696), 1: (1136, 611), 2: (1009, 609), 3: (871, 605), 4: (746, 602), 5: (615, 600), 6: (225, 593), 7: (1173, 597), 8: (1093, 609), 9: (1232, 607), 10: (1238, 571), 11: (961, 605), 12: (835, 600), 13: (705, 595), 14: (576, 592), 15: (450, 576), 16: (321, 566), 17: (1077, 439), 18: (562, 420), 19: (824, 426), 20: (695, 421), 21: (952, 428), 22: (1212, 436), 23: (312, 404), 24: (6, 369), 25: (447, 402), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (789, 334), 31: (666, 327), 32: (12, 325), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (901, 69), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34)}\n",
 314        "{0: (762, 696), 1: (1136, 611), 2: (1009, 609), 3: (871, 605), 4: (746, 602), 5: (615, 600), 6: (225, 593), 7: (1173, 597), 8: (1093, 609), 9: (1232, 607), 10: (1238, 571), 11: (961, 605), 12: (835, 600), 13: (705, 595), 14: (576, 592), 15: (450, 576), 16: (321, 566), 17: (1077, 439), 18: (562, 420), 19: (824, 426), 20: (695, 421), 21: (952, 428), 22: (1212, 436), 23: (312, 404), 24: (6, 369), 25: (447, 402), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (789, 334), 31: (666, 327), 32: (12, 325), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (901, 69), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34)}\n",
 315        "{0: (762, 696), 1: (1136, 611), 2: (1009, 609), 3: (871, 605), 4: (746, 602), 5: (615, 600), 6: (225, 593), 7: (1173, 597), 8: (1093, 609), 9: (1232, 607), 10: (1238, 571), 11: (961, 605), 12: (835, 600), 13: (705, 595), 14: (576, 592), 15: (450, 576), 16: (321, 566), 17: (1077, 439), 18: (562, 420), 19: (824, 426), 20: (695, 421), 21: (952, 428), 22: (1212, 436), 23: (312, 404), 24: (6, 369), 25: (447, 402), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (789, 334), 31: (666, 327), 32: (12, 325), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (901, 69), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34)}\n",
 316        "{0: (762, 696), 1: (1136, 611), 2: (1009, 609), 3: (871, 605), 4: (746, 602), 5: (615, 600), 6: (225, 593), 7: (1173, 597), 8: (1093, 609), 9: (1232, 607), 10: (1238, 571), 11: (961, 605), 12: (835, 600), 13: (705, 595), 14: (576, 592), 15: (450, 576), 16: (321, 566), 17: (1077, 439), 18: (562, 420), 19: (824, 426), 20: (695, 421), 21: (952, 428), 22: (1212, 436), 23: (312, 404), 24: (6, 369), 25: (447, 402), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (789, 334), 31: (666, 327), 32: (12, 325), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (901, 69), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34)}\n",
 317        "{0: (762, 696), 1: (1136, 611), 2: (1009, 609), 3: (871, 605), 4: (746, 602), 5: (615, 600), 6: (225, 593), 7: (1173, 597), 8: (1093, 609), 9: (1232, 607), 10: (1238, 571), 11: (961, 605), 12: (835, 600), 13: (705, 595), 14: (576, 592), 15: (450, 576), 16: (321, 566), 17: (1077, 439), 18: (562, 420), 19: (824, 426), 20: (695, 421), 21: (952, 428), 22: (1212, 436), 23: (312, 404), 24: (6, 369), 25: (447, 402), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (789, 334), 31: (666, 327), 32: (12, 325), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (901, 69), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34)}\n",
 318        "{0: (762, 696), 1: (1136, 611), 2: (1009, 609), 3: (871, 605), 4: (746, 602), 5: (615, 600), 6: (225, 593), 7: (1173, 597), 8: (1093, 609), 9: (1232, 607), 10: (1238, 571), 11: (961, 605), 12: (835, 600), 13: (705, 595), 14: (576, 592), 15: (450, 576), 16: (321, 566), 17: (1077, 439), 18: (562, 420), 19: (824, 426), 20: (695, 421), 21: (952, 428), 22: (1212, 436), 23: (312, 404), 24: (6, 369), 25: (447, 402), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (789, 334), 31: (666, 327), 32: (12, 325), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (901, 69), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34)}\n",
 319        "{0: (762, 696), 1: (1136, 611), 2: (1009, 609), 3: (871, 605), 4: (746, 602), 5: (615, 600), 6: (225, 593), 7: (1173, 597), 8: (1093, 609), 9: (1232, 607), 10: (1238, 571), 11: (961, 605), 12: (835, 600), 13: (705, 595), 14: (576, 592), 15: (450, 576), 16: (321, 566), 17: (1077, 439), 18: (562, 420), 19: (824, 426), 20: (695, 421), 21: (952, 428), 22: (1212, 436), 23: (312, 404), 24: (6, 369), 25: (447, 402), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (789, 334), 31: (666, 327), 32: (12, 325), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (901, 69), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34)}\n",
 320        "{0: (762, 696), 1: (1136, 611), 2: (1009, 609), 3: (871, 605), 4: (746, 602), 5: (615, 600), 6: (225, 593), 7: (1173, 597), 8: (1093, 609), 9: (1232, 607), 10: (1238, 571), 11: (961, 605), 12: (835, 600), 13: (705, 595), 14: (576, 592), 15: (450, 576), 16: (321, 566), 17: (1077, 439), 18: (562, 420), 19: (824, 426), 20: (695, 421), 21: (952, 428), 22: (1212, 436), 23: (312, 404), 24: (6, 369), 25: (447, 402), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (789, 334), 31: (666, 327), 32: (12, 325), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (901, 69), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34)}\n",
 321        "{0: (762, 696), 1: (1136, 611), 2: (1009, 609), 3: (871, 605), 4: (746, 602), 5: (615, 600), 6: (225, 593), 7: (1173, 597), 8: (1093, 609), 9: (1232, 607), 10: (1238, 571), 11: (961, 605), 12: (835, 600), 13: (705, 595), 14: (576, 592), 15: (450, 576), 16: (321, 566), 17: (1077, 439), 18: (562, 420), 19: (824, 426), 20: (695, 421), 21: (952, 428), 22: (1212, 436), 23: (312, 404), 24: (6, 369), 25: (447, 402), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (789, 334), 31: (666, 327), 32: (12, 325), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34)}\n",
 322        "{0: (762, 696), 1: (1136, 611), 2: (1009, 609), 3: (871, 605), 4: (746, 602), 5: (615, 600), 6: (225, 593), 7: (1173, 597), 8: (1093, 609), 9: (1232, 607), 10: (1238, 571), 11: (961, 605), 12: (835, 600), 13: (705, 595), 14: (576, 592), 15: (450, 576), 16: (321, 566), 17: (1077, 439), 18: (562, 420), 19: (824, 426), 20: (695, 421), 21: (952, 428), 22: (1212, 436), 23: (312, 404), 24: (6, 369), 25: (447, 402), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (789, 334), 31: (666, 327), 32: (12, 325), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34)}\n",
 323        "{0: (762, 696), 1: (1136, 611), 2: (1009, 609), 3: (871, 605), 4: (746, 602), 5: (615, 600), 6: (225, 593), 7: (1173, 597), 8: (1093, 609), 9: (1232, 607), 10: (1238, 571), 11: (961, 605), 12: (835, 600), 13: (705, 595), 14: (576, 592), 15: (450, 576), 16: (321, 566), 17: (1077, 439), 18: (562, 420), 19: (824, 426), 20: (695, 421), 21: (952, 428), 22: (1212, 436), 23: (312, 404), 24: (6, 369), 25: (447, 402), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (789, 334), 31: (666, 327), 32: (12, 325), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34)}\n",
 324        "{0: (762, 696), 1: (1136, 611), 2: (1009, 609), 3: (871, 605), 4: (746, 602), 5: (615, 600), 6: (225, 593), 7: (1173, 597), 8: (1093, 609), 9: (1232, 607), 10: (1238, 571), 11: (961, 605), 12: (835, 600), 13: (705, 595), 14: (576, 592), 15: (450, 576), 16: (321, 566), 17: (1077, 439), 18: (562, 420), 19: (824, 426), 20: (695, 421), 21: (952, 428), 22: (1212, 436), 23: (312, 404), 24: (6, 369), 25: (447, 402), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (789, 334), 31: (666, 327), 32: (12, 325), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34)}\n",
 325        "{0: (762, 696), 1: (1136, 611), 2: (1009, 609), 3: (871, 605), 4: (746, 602), 5: (615, 600), 6: (225, 593), 7: (1173, 597), 8: (1093, 609), 9: (1232, 607), 10: (1238, 571), 11: (961, 605), 12: (835, 600), 13: (705, 595), 14: (576, 592), 15: (450, 576), 16: (321, 566), 17: (1077, 439), 18: (562, 420), 19: (824, 426), 20: (695, 421), 21: (952, 428), 22: (1212, 436), 23: (312, 404), 24: (6, 369), 25: (447, 402), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (789, 334), 31: (666, 327), 32: (12, 325), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34)}\n",
 326        "{0: (762, 696), 1: (1136, 611), 2: (1009, 609), 3: (871, 605), 4: (746, 602), 5: (615, 600), 6: (225, 593), 7: (1173, 597), 8: (1093, 609), 9: (1232, 607), 10: (1238, 571), 11: (961, 605), 12: (835, 600), 13: (705, 595), 14: (576, 592), 15: (450, 576), 16: (321, 566), 17: (1077, 439), 18: (562, 420), 19: (824, 426), 20: (695, 421), 21: (952, 428), 22: (1212, 436), 23: (312, 404), 24: (6, 369), 25: (447, 402), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (789, 334), 31: (666, 327), 32: (12, 325), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34)}\n",
 327        "{0: (762, 696), 1: (1136, 611), 2: (1009, 609), 3: (871, 605), 4: (746, 602), 5: (615, 600), 6: (225, 593), 7: (1173, 597), 8: (1093, 609), 9: (1232, 607), 10: (1238, 571), 11: (961, 605), 12: (835, 600), 13: (705, 595), 14: (576, 592), 15: (450, 576), 16: (321, 566), 17: (1077, 439), 18: (562, 420), 19: (824, 426), 20: (695, 421), 21: (952, 428), 22: (1212, 436), 23: (312, 404), 24: (6, 369), 25: (447, 402), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (789, 334), 31: (666, 327), 32: (12, 325), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34)}\n",
 328        "{0: (762, 696), 1: (1136, 611), 2: (1009, 609), 3: (871, 605), 4: (746, 602), 5: (615, 600), 6: (225, 593), 7: (1173, 597), 8: (1093, 609), 9: (1232, 607), 10: (1238, 571), 11: (961, 605), 12: (835, 600), 13: (705, 595), 14: (576, 592), 15: (450, 576), 16: (321, 566), 17: (1077, 439), 18: (562, 420), 19: (824, 426), 20: (695, 421), 21: (952, 428), 22: (1212, 436), 23: (312, 404), 24: (6, 369), 25: (447, 402), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (789, 334), 31: (666, 327), 32: (12, 325), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34)}\n",
 329        "{0: (762, 696), 1: (1136, 611), 2: (1009, 609), 3: (871, 605), 4: (746, 602), 5: (615, 600), 6: (225, 593), 7: (1173, 597), 8: (1093, 609), 9: (1232, 607), 10: (1238, 571), 11: (961, 605), 12: (835, 600), 13: (705, 595), 14: (576, 592), 15: (450, 576), 16: (321, 566), 17: (1077, 439), 18: (562, 420), 19: (824, 426), 20: (695, 421), 21: (952, 428), 22: (1212, 436), 23: (312, 404), 24: (6, 369), 25: (447, 402), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (789, 334), 31: (666, 327), 32: (12, 325), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34)}\n",
 330        "{0: (762, 696), 1: (1136, 611), 2: (1009, 609), 3: (871, 605), 4: (746, 602), 5: (615, 600), 6: (225, 593), 7: (1173, 597), 8: (1093, 609), 9: (1232, 607), 10: (1238, 571), 11: (961, 605), 12: (835, 600), 13: (705, 595), 14: (576, 592), 15: (450, 576), 16: (321, 566), 17: (1077, 439), 18: (562, 420), 19: (824, 426), 20: (695, 421), 21: (952, 428), 22: (1212, 436), 23: (312, 404), 24: (6, 369), 25: (447, 402), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (789, 334), 31: (666, 327), 32: (12, 325), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34)}\n",
 331        "{0: (762, 696), 1: (1136, 611), 2: (1009, 609), 3: (871, 605), 4: (746, 602), 5: (615, 600), 6: (225, 593), 7: (1173, 597), 8: (1093, 609), 9: (1232, 607), 10: (1238, 571), 11: (961, 605), 12: (835, 600), 13: (705, 595), 14: (576, 592), 15: (450, 576), 16: (321, 566), 17: (1077, 439), 18: (562, 420), 19: (824, 426), 20: (695, 421), 21: (952, 428), 22: (1212, 436), 23: (312, 404), 24: (6, 369), 25: (447, 402), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (789, 334), 31: (666, 327), 32: (12, 325), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34)}\n",
 332        "{0: (762, 696), 1: (1136, 611), 2: (1009, 609), 3: (871, 605), 4: (746, 602), 5: (615, 600), 6: (225, 593), 7: (1173, 597), 8: (1093, 609), 9: (1232, 607), 10: (1238, 571), 11: (961, 605), 12: (835, 600), 13: (705, 595), 14: (576, 592), 15: (450, 576), 16: (321, 566), 17: (1077, 439), 18: (562, 420), 19: (824, 426), 20: (695, 421), 21: (952, 428), 22: (1212, 436), 23: (312, 404), 24: (6, 369), 25: (447, 402), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (789, 334), 31: (666, 327), 32: (12, 325), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34)}\n",
 333        "{0: (762, 696), 1: (1136, 611), 2: (1009, 609), 3: (871, 605), 4: (746, 602), 5: (615, 600), 6: (225, 593), 7: (1173, 597), 8: (1093, 609), 9: (1232, 607), 10: (1238, 571), 11: (961, 605), 12: (835, 600), 13: (705, 595), 14: (576, 592), 15: (450, 576), 16: (321, 566), 17: (1077, 439), 18: (562, 420), 19: (824, 426), 20: (695, 421), 21: (952, 428), 22: (1212, 436), 23: (312, 404), 24: (6, 369), 25: (447, 402), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (789, 334), 31: (666, 327), 32: (12, 325), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34)}\n",
 334        "{0: (762, 696), 1: (1136, 611), 2: (1009, 609), 3: (871, 605), 4: (746, 602), 5: (615, 600), 6: (225, 593), 7: (1173, 597), 8: (1093, 609), 9: (1232, 607), 10: (1238, 571), 11: (961, 605), 12: (835, 600), 13: (705, 595), 14: (576, 592), 15: (450, 576), 16: (321, 566), 17: (1077, 439), 18: (562, 420), 19: (824, 426), 20: (695, 421), 21: (952, 428), 22: (1212, 436), 23: (312, 404), 24: (6, 369), 25: (447, 402), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (789, 334), 31: (666, 327), 32: (12, 325), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34)}\n",
 335        "{0: (762, 696), 1: (1136, 611), 2: (1009, 609), 3: (871, 605), 4: (746, 602), 5: (615, 600), 6: (225, 593), 7: (1173, 597), 8: (1093, 609), 9: (1232, 607), 10: (1238, 571), 11: (961, 605), 12: (835, 600), 13: (705, 595), 14: (576, 592), 15: (450, 576), 16: (321, 566), 17: (1077, 439), 18: (562, 420), 19: (824, 426), 20: (695, 421), 21: (952, 428), 22: (1212, 436), 23: (312, 404), 24: (6, 369), 25: (447, 402), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (789, 334), 31: (666, 327), 32: (12, 325), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34)}\n",
 336        "{0: (762, 696), 1: (1136, 611), 2: (1009, 609), 3: (871, 605), 4: (746, 602), 5: (615, 600), 6: (225, 593), 7: (1173, 597), 8: (1093, 609), 9: (1232, 607), 10: (1238, 571), 11: (961, 605), 12: (835, 600), 13: (705, 595), 14: (576, 592), 15: (450, 576), 16: (321, 566), 17: (1077, 439), 18: (562, 420), 19: (824, 426), 20: (695, 421), 21: (952, 428), 22: (1212, 436), 23: (312, 404), 24: (6, 369), 25: (447, 402), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (789, 334), 31: (666, 327), 32: (12, 325), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34)}\n",
 337        "{0: (762, 696), 1: (1136, 611), 2: (1009, 609), 3: (871, 605), 4: (746, 602), 5: (615, 600), 6: (225, 593), 7: (1173, 597), 8: (1093, 609), 9: (1232, 607), 10: (1238, 571), 11: (961, 605), 12: (835, 600), 13: (705, 595), 14: (576, 592), 15: (450, 576), 16: (321, 566), 17: (1077, 439), 18: (562, 420), 19: (824, 426), 20: (695, 421), 21: (952, 428), 22: (1212, 436), 23: (312, 404), 24: (6, 369), 25: (447, 402), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (789, 334), 31: (666, 327), 32: (12, 325), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34)}\n",
 338        "{0: (761, 680), 1: (1136, 611), 2: (1009, 609), 3: (871, 605), 4: (746, 602), 5: (615, 600), 6: (225, 593), 7: (1173, 597), 8: (1093, 609), 9: (1232, 607), 10: (1238, 571), 11: (961, 605), 12: (835, 600), 13: (705, 595), 14: (576, 592), 15: (450, 576), 16: (321, 566), 17: (1077, 439), 18: (562, 420), 19: (824, 426), 20: (695, 421), 21: (952, 428), 22: (1212, 436), 23: (312, 404), 24: (6, 369), 25: (447, 402), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (789, 334), 31: (666, 327), 32: (12, 325), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34), 114: (895, 685)}\n",
 339        "{0: (761, 680), 1: (1143, 596), 2: (1009, 609), 3: (871, 605), 4: (746, 602), 5: (615, 600), 6: (225, 593), 7: (1173, 597), 8: (1093, 609), 9: (1232, 607), 10: (1238, 571), 11: (961, 605), 12: (835, 600), 13: (705, 595), 14: (576, 592), 15: (450, 576), 16: (321, 566), 17: (1077, 439), 18: (562, 420), 19: (824, 426), 20: (695, 421), 21: (952, 428), 22: (1212, 436), 23: (312, 404), 24: (6, 369), 25: (447, 402), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (789, 334), 31: (666, 327), 32: (12, 325), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34), 114: (895, 685)}\n",
 340        "{0: (761, 680), 1: (1143, 596), 2: (1013, 593), 3: (871, 605), 4: (746, 602), 5: (615, 600), 6: (225, 593), 7: (1173, 597), 8: (1093, 609), 9: (1232, 607), 10: (1238, 571), 11: (961, 605), 12: (835, 600), 13: (705, 595), 14: (576, 592), 15: (450, 576), 16: (321, 566), 17: (1077, 439), 18: (562, 420), 19: (824, 426), 20: (695, 421), 21: (952, 428), 22: (1212, 436), 23: (312, 404), 24: (6, 369), 25: (447, 402), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (789, 334), 31: (666, 327), 32: (12, 325), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34), 114: (895, 685)}\n",
 341        "{0: (761, 680), 1: (1143, 596), 2: (1013, 593), 3: (880, 589), 4: (746, 602), 5: (615, 600), 6: (225, 593), 7: (1173, 597), 8: (1093, 609), 9: (1232, 607), 10: (1238, 571), 11: (961, 605), 12: (835, 600), 13: (705, 595), 14: (576, 592), 15: (450, 576), 16: (321, 566), 17: (1077, 439), 18: (562, 420), 19: (824, 426), 20: (695, 421), 21: (952, 428), 22: (1212, 436), 23: (312, 404), 24: (6, 369), 25: (447, 402), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (789, 334), 31: (666, 327), 32: (12, 325), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34), 114: (895, 685)}\n",
 342        "{0: (761, 680), 1: (1143, 596), 2: (1013, 593), 3: (880, 589), 4: (752, 587), 5: (615, 600), 6: (225, 593), 7: (1173, 597), 8: (1093, 609), 9: (1232, 607), 10: (1238, 571), 11: (961, 605), 12: (835, 600), 13: (705, 595), 14: (576, 592), 15: (450, 576), 16: (321, 566), 17: (1077, 439), 18: (562, 420), 19: (824, 426), 20: (695, 421), 21: (952, 428), 22: (1212, 436), 23: (312, 404), 24: (6, 369), 25: (447, 402), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (789, 334), 31: (666, 327), 32: (12, 325), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34), 114: (895, 685)}\n",
 343        "{0: (761, 680), 1: (1143, 596), 2: (1013, 593), 3: (880, 589), 4: (752, 587), 5: (615, 600), 6: (228, 575), 7: (1173, 597), 8: (1093, 609), 9: (1232, 607), 10: (1238, 571), 11: (961, 605), 12: (835, 600), 13: (705, 595), 14: (576, 592), 15: (450, 576), 16: (321, 566), 17: (1077, 439), 18: (562, 420), 19: (824, 426), 20: (695, 421), 21: (952, 428), 22: (1212, 436), 23: (312, 404), 24: (6, 369), 25: (447, 402), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (789, 334), 31: (666, 327), 32: (12, 325), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34), 114: (895, 685)}\n",
 344        "{0: (761, 680), 1: (1143, 596), 2: (1035, 582), 3: (880, 589), 4: (752, 587), 5: (615, 600), 6: (228, 575), 7: (1173, 597), 8: (1093, 609), 9: (1232, 607), 10: (1238, 571), 11: (961, 605), 12: (835, 600), 13: (705, 595), 14: (576, 592), 15: (450, 576), 16: (321, 566), 17: (1077, 439), 18: (562, 420), 19: (824, 426), 20: (695, 421), 21: (952, 428), 22: (1212, 436), 23: (312, 404), 24: (6, 369), 25: (447, 402), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (789, 334), 31: (666, 327), 32: (12, 325), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34), 114: (895, 685)}\n",
 345        "{0: (761, 680), 1: (1143, 596), 2: (1035, 582), 3: (880, 589), 4: (752, 587), 5: (615, 600), 6: (228, 575), 7: (1173, 597), 8: (1091, 601), 9: (1232, 607), 10: (1238, 571), 11: (961, 605), 12: (835, 600), 13: (705, 595), 14: (576, 592), 15: (450, 576), 16: (321, 566), 17: (1077, 439), 18: (562, 420), 19: (824, 426), 20: (695, 421), 21: (952, 428), 22: (1212, 436), 23: (312, 404), 24: (6, 369), 25: (447, 402), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (789, 334), 31: (666, 327), 32: (12, 325), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34), 114: (895, 685), 115: (381, 579), 116: (246, 614)}\n",
 346        "{0: (761, 680), 1: (1143, 596), 2: (1035, 582), 3: (880, 589), 4: (752, 587), 5: (615, 600), 6: (228, 575), 7: (1173, 597), 8: (1091, 601), 9: (1220, 598), 10: (1238, 571), 11: (961, 605), 12: (835, 600), 13: (705, 595), 14: (576, 592), 15: (450, 576), 16: (321, 566), 17: (1077, 439), 18: (562, 420), 19: (824, 426), 20: (695, 421), 21: (952, 428), 22: (1212, 436), 23: (312, 404), 24: (6, 369), 25: (447, 402), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (789, 334), 31: (666, 327), 32: (12, 325), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34), 114: (895, 685), 115: (381, 579), 116: (246, 614)}\n",
 347        "{0: (761, 680), 1: (1143, 596), 2: (1035, 582), 3: (880, 589), 4: (752, 587), 5: (615, 600), 6: (228, 575), 7: (1173, 597), 8: (1091, 601), 9: (1220, 598), 10: (1238, 571), 11: (963, 596), 12: (835, 600), 13: (705, 595), 14: (576, 592), 15: (450, 576), 16: (321, 566), 17: (1077, 439), 18: (562, 420), 19: (824, 426), 20: (695, 421), 21: (952, 428), 22: (1212, 436), 23: (312, 404), 24: (6, 369), 25: (447, 402), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (789, 334), 31: (666, 327), 32: (12, 325), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34), 114: (895, 685), 115: (381, 579), 116: (246, 614)}\n",
 348        "{0: (761, 680), 1: (1143, 596), 2: (1035, 582), 3: (880, 589), 4: (752, 587), 5: (615, 600), 6: (228, 575), 7: (1173, 597), 8: (1091, 601), 9: (1220, 598), 10: (1238, 571), 11: (963, 596), 12: (834, 591), 13: (705, 595), 14: (576, 592), 15: (450, 576), 16: (321, 566), 17: (1077, 439), 18: (562, 420), 19: (824, 426), 20: (695, 421), 21: (952, 428), 22: (1212, 436), 23: (312, 404), 24: (6, 369), 25: (447, 402), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (789, 334), 31: (666, 327), 32: (12, 325), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34), 114: (895, 685), 115: (381, 579), 116: (246, 614)}\n",
 349        "{0: (761, 680), 1: (1143, 596), 2: (1035, 582), 3: (880, 589), 4: (752, 587), 5: (615, 600), 6: (228, 575), 7: (1173, 597), 8: (1091, 601), 9: (1220, 598), 10: (1238, 571), 11: (963, 596), 12: (834, 591), 13: (705, 580), 14: (576, 592), 15: (450, 576), 16: (321, 566), 17: (1077, 439), 18: (562, 420), 19: (824, 426), 20: (695, 421), 21: (952, 428), 22: (1212, 436), 23: (312, 404), 24: (6, 369), 25: (447, 402), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (789, 334), 31: (666, 327), 32: (12, 325), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34), 114: (895, 685), 115: (381, 579), 116: (246, 614)}\n",
 350        "{0: (761, 680), 1: (1143, 596), 2: (1035, 582), 3: (880, 589), 4: (752, 587), 5: (615, 600), 6: (228, 575), 7: (1173, 597), 8: (1091, 601), 9: (1220, 598), 10: (1238, 571), 11: (963, 596), 12: (834, 591), 13: (705, 580), 14: (577, 570), 15: (450, 576), 16: (321, 566), 17: (1077, 439), 18: (562, 420), 19: (824, 426), 20: (695, 421), 21: (952, 428), 22: (1212, 436), 23: (312, 404), 24: (6, 369), 25: (447, 402), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (789, 334), 31: (666, 327), 32: (12, 325), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34), 114: (895, 685), 115: (381, 579), 116: (246, 614)}\n",
 351        "{0: (761, 680), 1: (1143, 596), 2: (1035, 582), 3: (880, 589), 4: (752, 587), 5: (615, 600), 6: (228, 575), 7: (1173, 597), 8: (1091, 601), 9: (1220, 598), 10: (1238, 571), 11: (963, 596), 12: (834, 591), 13: (705, 580), 14: (577, 570), 15: (450, 576), 16: (321, 566), 17: (1077, 439), 18: (562, 420), 19: (824, 426), 20: (695, 421), 21: (932, 431), 22: (1212, 436), 23: (312, 404), 24: (6, 369), 25: (447, 402), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (789, 334), 31: (666, 327), 32: (12, 325), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34), 114: (895, 685), 115: (381, 579), 116: (246, 614), 117: (451, 538)}\n",
 352        "{0: (761, 680), 1: (1143, 596), 2: (1035, 582), 3: (880, 589), 4: (752, 587), 5: (615, 600), 6: (228, 575), 7: (1173, 597), 8: (1091, 601), 9: (1220, 598), 10: (1238, 571), 11: (963, 596), 12: (834, 591), 13: (705, 580), 14: (577, 570), 15: (450, 576), 16: (321, 566), 17: (1077, 439), 18: (562, 420), 19: (804, 423), 20: (695, 421), 21: (932, 431), 22: (1212, 436), 23: (312, 404), 24: (6, 369), 25: (447, 402), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (789, 334), 31: (666, 327), 32: (12, 325), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34), 114: (895, 685), 115: (381, 579), 116: (246, 614), 117: (451, 538), 118: (323, 530)}\n",
 353        "{0: (761, 680), 1: (1143, 596), 2: (1035, 582), 3: (880, 589), 4: (752, 587), 5: (615, 600), 6: (228, 575), 7: (1173, 597), 8: (1091, 601), 9: (1220, 598), 10: (1238, 571), 11: (963, 596), 12: (834, 591), 13: (705, 580), 14: (577, 570), 15: (450, 576), 16: (321, 566), 17: (1073, 432), 18: (562, 420), 19: (804, 423), 20: (695, 421), 21: (932, 431), 22: (1212, 436), 23: (312, 404), 24: (6, 369), 25: (447, 402), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (789, 334), 31: (666, 327), 32: (12, 325), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34), 114: (895, 685), 115: (381, 579), 116: (246, 614), 117: (451, 538), 118: (323, 530)}\n",
 354        "{0: (761, 680), 1: (1143, 596), 2: (1035, 582), 3: (880, 589), 4: (752, 587), 5: (615, 600), 6: (228, 575), 7: (1173, 597), 8: (1091, 601), 9: (1220, 598), 10: (1238, 571), 11: (963, 596), 12: (834, 591), 13: (705, 580), 14: (577, 570), 15: (450, 576), 16: (321, 566), 17: (1073, 432), 18: (562, 420), 19: (804, 423), 20: (682, 416), 21: (932, 431), 22: (1212, 436), 23: (312, 404), 24: (6, 369), 25: (447, 402), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (789, 334), 31: (666, 327), 32: (12, 325), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34), 114: (895, 685), 115: (381, 579), 116: (246, 614), 117: (451, 538), 118: (323, 530)}\n",
 355        "{0: (761, 680), 1: (1143, 596), 2: (1035, 582), 3: (880, 589), 4: (752, 587), 5: (615, 600), 6: (228, 575), 7: (1173, 597), 8: (1091, 601), 9: (1220, 598), 10: (1238, 571), 11: (963, 596), 12: (834, 591), 13: (705, 580), 14: (577, 570), 15: (450, 576), 16: (321, 566), 17: (1073, 432), 18: (559, 406), 19: (804, 423), 20: (682, 416), 21: (932, 431), 22: (1212, 436), 23: (312, 404), 24: (6, 369), 25: (447, 402), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (789, 334), 31: (666, 327), 32: (12, 325), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34), 114: (895, 685), 115: (381, 579), 116: (246, 614), 117: (451, 538), 118: (323, 530)}\n",
 356        "{0: (761, 680), 1: (1143, 596), 2: (1035, 582), 3: (880, 589), 4: (752, 587), 5: (615, 600), 6: (228, 575), 7: (1173, 597), 8: (1091, 601), 9: (1220, 598), 10: (1238, 571), 11: (963, 596), 12: (834, 591), 13: (705, 580), 14: (577, 570), 15: (450, 576), 16: (321, 566), 17: (1073, 432), 18: (559, 406), 19: (804, 423), 20: (682, 416), 21: (932, 431), 22: (1212, 436), 23: (311, 395), 24: (6, 369), 25: (447, 402), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (789, 334), 31: (666, 327), 32: (12, 325), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34), 114: (895, 685), 115: (381, 579), 116: (246, 614), 117: (451, 538), 118: (323, 530)}\n",
 357        "{0: (761, 680), 1: (1143, 596), 2: (1035, 582), 3: (880, 589), 4: (752, 587), 5: (615, 600), 6: (228, 575), 7: (1173, 597), 8: (1091, 601), 9: (1220, 598), 10: (1238, 571), 11: (963, 596), 12: (834, 591), 13: (705, 580), 14: (577, 570), 15: (450, 576), 16: (321, 566), 17: (1073, 432), 18: (559, 406), 19: (804, 423), 20: (682, 416), 21: (932, 431), 22: (1212, 423), 23: (311, 395), 24: (6, 369), 25: (447, 402), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (789, 334), 31: (666, 327), 32: (12, 325), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34), 114: (895, 685), 115: (381, 579), 116: (246, 614), 117: (451, 538), 118: (323, 530)}\n",
 358        "{0: (761, 680), 1: (1143, 596), 2: (1035, 582), 3: (880, 589), 4: (752, 587), 5: (615, 600), 6: (228, 575), 7: (1173, 597), 8: (1091, 601), 9: (1220, 598), 10: (1238, 571), 11: (963, 596), 12: (834, 591), 13: (705, 580), 14: (577, 570), 15: (450, 576), 16: (321, 566), 17: (1073, 432), 18: (559, 406), 19: (804, 423), 20: (682, 416), 21: (932, 431), 22: (1212, 423), 23: (311, 395), 24: (6, 369), 25: (449, 386), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (789, 334), 31: (666, 327), 32: (12, 325), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34), 114: (895, 685), 115: (381, 579), 116: (246, 614), 117: (451, 538), 118: (323, 530)}\n",
 359        "{0: (761, 680), 1: (1143, 596), 2: (1035, 582), 3: (880, 589), 4: (752, 587), 5: (615, 600), 6: (228, 575), 7: (1173, 597), 8: (1091, 601), 9: (1220, 598), 10: (1238, 571), 11: (963, 596), 12: (834, 591), 13: (705, 580), 14: (577, 570), 15: (450, 576), 16: (321, 566), 17: (1073, 432), 18: (559, 406), 19: (804, 423), 20: (682, 416), 21: (932, 431), 22: (1212, 423), 23: (311, 395), 24: (6, 369), 25: (449, 386), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (789, 334), 31: (666, 327), 32: (10, 316), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34), 114: (895, 685), 115: (381, 579), 116: (246, 614), 117: (451, 538), 118: (323, 530), 119: (1085, 347)}\n",
 360        "{0: (761, 680), 1: (1143, 596), 2: (1035, 582), 3: (880, 589), 4: (752, 587), 5: (615, 600), 6: (228, 575), 7: (1173, 597), 8: (1091, 601), 9: (1220, 598), 10: (1238, 571), 11: (963, 596), 12: (834, 591), 13: (705, 580), 14: (577, 570), 15: (450, 576), 16: (321, 566), 17: (1073, 432), 18: (559, 406), 19: (804, 423), 20: (682, 416), 21: (932, 431), 22: (1212, 423), 23: (311, 395), 24: (6, 369), 25: (449, 386), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (794, 314), 31: (666, 327), 32: (10, 316), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34), 114: (895, 685), 115: (381, 579), 116: (246, 614), 117: (451, 538), 118: (323, 530), 119: (1085, 347), 120: (594, 321), 121: (352, 320)}\n",
 361        "{0: (761, 680), 1: (1143, 596), 2: (1035, 582), 3: (880, 589), 4: (752, 587), 5: (615, 600), 6: (228, 575), 7: (1173, 597), 8: (1091, 601), 9: (1220, 598), 10: (1238, 571), 11: (963, 596), 12: (834, 591), 13: (705, 580), 14: (577, 570), 15: (450, 576), 16: (321, 566), 17: (1073, 432), 18: (559, 406), 19: (804, 423), 20: (682, 416), 21: (932, 431), 22: (1212, 423), 23: (311, 395), 24: (6, 369), 25: (449, 386), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (794, 314), 31: (668, 311), 32: (10, 316), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (257, 305), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34), 114: (895, 685), 115: (381, 579), 116: (246, 614), 117: (451, 538), 118: (323, 530), 119: (1085, 347), 120: (594, 321), 121: (352, 320), 122: (735, 300)}\n",
 362        "{0: (761, 680), 1: (1143, 596), 2: (1035, 582), 3: (880, 589), 4: (752, 587), 5: (615, 600), 6: (228, 575), 7: (1173, 597), 8: (1091, 601), 9: (1220, 598), 10: (1238, 571), 11: (963, 596), 12: (834, 591), 13: (705, 580), 14: (577, 570), 15: (450, 576), 16: (321, 566), 17: (1073, 432), 18: (559, 406), 19: (804, 423), 20: (682, 416), 21: (932, 431), 22: (1212, 423), 23: (311, 395), 24: (6, 369), 25: (449, 386), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (794, 314), 31: (668, 311), 32: (10, 316), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (262, 289), 37: (177, 305), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34), 114: (895, 685), 115: (381, 579), 116: (246, 614), 117: (451, 538), 118: (323, 530), 119: (1085, 347), 120: (594, 321), 121: (352, 320), 122: (735, 300)}\n",
 363        "{0: (761, 680), 1: (1143, 596), 2: (1035, 582), 3: (880, 589), 4: (752, 587), 5: (615, 600), 6: (228, 575), 7: (1173, 597), 8: (1091, 601), 9: (1220, 598), 10: (1238, 571), 11: (963, 596), 12: (834, 591), 13: (705, 580), 14: (577, 570), 15: (450, 576), 16: (321, 566), 17: (1073, 432), 18: (559, 406), 19: (804, 423), 20: (682, 416), 21: (932, 431), 22: (1212, 423), 23: (311, 395), 24: (6, 369), 25: (449, 386), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (794, 314), 31: (668, 311), 32: (10, 316), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (262, 289), 37: (176, 289), 38: (555, 318), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34), 114: (895, 685), 115: (381, 579), 116: (246, 614), 117: (451, 538), 118: (323, 530), 119: (1085, 347), 120: (594, 321), 121: (352, 320), 122: (735, 300)}\n",
 364        "{0: (761, 680), 1: (1143, 596), 2: (1035, 582), 3: (880, 589), 4: (752, 587), 5: (615, 600), 6: (228, 575), 7: (1173, 597), 8: (1091, 601), 9: (1220, 598), 10: (1238, 571), 11: (963, 596), 12: (834, 591), 13: (705, 580), 14: (577, 570), 15: (450, 576), 16: (321, 566), 17: (1073, 432), 18: (559, 406), 19: (804, 423), 20: (682, 416), 21: (932, 431), 22: (1212, 423), 23: (311, 395), 24: (6, 369), 25: (449, 386), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (794, 314), 31: (668, 311), 32: (10, 316), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (262, 289), 37: (176, 289), 38: (551, 299), 39: (128, 304), 40: (1107, 310), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34), 114: (895, 685), 115: (381, 579), 116: (246, 614), 117: (451, 538), 118: (323, 530), 119: (1085, 347), 120: (594, 321), 121: (352, 320), 122: (735, 300), 123: (105, 289)}\n",
 365        "{0: (761, 680), 1: (1143, 596), 2: (1035, 582), 3: (880, 589), 4: (752, 587), 5: (615, 600), 6: (228, 575), 7: (1173, 597), 8: (1091, 601), 9: (1220, 598), 10: (1238, 571), 11: (963, 596), 12: (834, 591), 13: (705, 580), 14: (577, 570), 15: (450, 576), 16: (321, 566), 17: (1073, 432), 18: (559, 406), 19: (804, 423), 20: (682, 416), 21: (932, 431), 22: (1212, 423), 23: (311, 395), 24: (6, 369), 25: (449, 386), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (794, 314), 31: (668, 311), 32: (10, 316), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (262, 289), 37: (176, 289), 38: (551, 299), 39: (128, 304), 40: (1108, 289), 41: (432, 308), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34), 114: (895, 685), 115: (381, 579), 116: (246, 614), 117: (451, 538), 118: (323, 530), 119: (1085, 347), 120: (594, 321), 121: (352, 320), 122: (735, 300), 123: (105, 289)}\n",
 366        "{0: (761, 680), 1: (1143, 596), 2: (1035, 582), 3: (880, 589), 4: (752, 587), 5: (615, 600), 6: (228, 575), 7: (1173, 597), 8: (1091, 601), 9: (1220, 598), 10: (1238, 571), 11: (963, 596), 12: (834, 591), 13: (705, 580), 14: (577, 570), 15: (450, 576), 16: (321, 566), 17: (1073, 432), 18: (559, 406), 19: (804, 423), 20: (682, 416), 21: (932, 431), 22: (1212, 423), 23: (311, 395), 24: (6, 369), 25: (449, 386), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (794, 314), 31: (668, 311), 32: (10, 316), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (262, 289), 37: (176, 289), 38: (551, 299), 39: (128, 304), 40: (1108, 289), 41: (432, 288), 42: (994, 291), 43: (1208, 332), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34), 114: (895, 685), 115: (381, 579), 116: (246, 614), 117: (451, 538), 118: (323, 530), 119: (1085, 347), 120: (594, 321), 121: (352, 320), 122: (735, 300), 123: (105, 289)}\n",
 367        "{0: (761, 680), 1: (1143, 596), 2: (1035, 582), 3: (880, 589), 4: (752, 587), 5: (615, 600), 6: (228, 575), 7: (1173, 597), 8: (1091, 601), 9: (1220, 598), 10: (1238, 571), 11: (963, 596), 12: (834, 591), 13: (705, 580), 14: (577, 570), 15: (450, 576), 16: (321, 566), 17: (1073, 432), 18: (559, 406), 19: (804, 423), 20: (682, 416), 21: (932, 431), 22: (1212, 423), 23: (311, 395), 24: (6, 369), 25: (449, 386), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (794, 314), 31: (668, 311), 32: (10, 316), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (262, 289), 37: (176, 289), 38: (551, 299), 39: (128, 304), 40: (1108, 289), 41: (432, 288), 42: (994, 291), 43: (1207, 321), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34), 114: (895, 685), 115: (381, 579), 116: (246, 614), 117: (451, 538), 118: (323, 530), 119: (1085, 347), 120: (594, 321), 121: (352, 320), 122: (735, 300), 123: (105, 289)}\n",
 368        "{0: (761, 680), 1: (1143, 596), 2: (1035, 582), 3: (880, 589), 4: (752, 587), 5: (615, 600), 6: (228, 575), 7: (1173, 597), 8: (1091, 601), 9: (1220, 598), 10: (1238, 571), 11: (963, 596), 12: (834, 591), 13: (705, 580), 14: (577, 570), 15: (450, 576), 16: (321, 566), 17: (1073, 432), 18: (559, 406), 19: (804, 423), 20: (682, 416), 21: (932, 431), 22: (1212, 423), 23: (311, 395), 24: (6, 369), 25: (449, 386), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (794, 314), 31: (668, 311), 32: (10, 316), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (262, 289), 37: (176, 289), 38: (551, 299), 39: (128, 304), 40: (1108, 289), 41: (432, 288), 42: (992, 276), 43: (1207, 321), 44: (869, 283), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34), 114: (895, 685), 115: (381, 579), 116: (246, 614), 117: (451, 538), 118: (323, 530), 119: (1085, 347), 120: (594, 321), 121: (352, 320), 122: (735, 300), 123: (105, 289)}\n",
 369        "{0: (761, 680), 1: (1143, 596), 2: (1035, 582), 3: (880, 589), 4: (752, 587), 5: (615, 600), 6: (228, 575), 7: (1173, 597), 8: (1091, 601), 9: (1220, 598), 10: (1238, 571), 11: (963, 596), 12: (834, 591), 13: (705, 580), 14: (577, 570), 15: (450, 576), 16: (321, 566), 17: (1073, 432), 18: (559, 406), 19: (804, 423), 20: (682, 416), 21: (932, 431), 22: (1212, 423), 23: (311, 395), 24: (6, 369), 25: (449, 386), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (794, 314), 31: (668, 311), 32: (10, 316), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (262, 289), 37: (176, 289), 38: (551, 299), 39: (128, 304), 40: (1108, 289), 41: (432, 288), 42: (992, 276), 43: (1207, 321), 44: (868, 270), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1032, 275), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34), 114: (895, 685), 115: (381, 579), 116: (246, 614), 117: (451, 538), 118: (323, 530), 119: (1085, 347), 120: (594, 321), 121: (352, 320), 122: (735, 300), 123: (105, 289)}\n",
 370        "{0: (761, 680), 1: (1143, 596), 2: (1035, 582), 3: (880, 589), 4: (752, 587), 5: (615, 600), 6: (228, 575), 7: (1173, 597), 8: (1091, 601), 9: (1220, 598), 10: (1238, 571), 11: (963, 596), 12: (834, 591), 13: (705, 580), 14: (577, 570), 15: (450, 576), 16: (321, 566), 17: (1073, 432), 18: (559, 406), 19: (804, 423), 20: (682, 416), 21: (932, 431), 22: (1212, 423), 23: (311, 395), 24: (6, 369), 25: (449, 386), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (794, 314), 31: (668, 311), 32: (10, 316), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (262, 289), 37: (176, 289), 38: (551, 299), 39: (128, 304), 40: (1108, 289), 41: (432, 288), 42: (992, 276), 43: (1207, 321), 44: (868, 270), 45: (829, 277), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1019, 269), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34), 114: (895, 685), 115: (381, 579), 116: (246, 614), 117: (451, 538), 118: (323, 530), 119: (1085, 347), 120: (594, 321), 121: (352, 320), 122: (735, 300), 123: (105, 289)}\n",
 371        "{0: (761, 680), 1: (1143, 596), 2: (1035, 582), 3: (880, 589), 4: (752, 587), 5: (615, 600), 6: (228, 575), 7: (1173, 597), 8: (1091, 601), 9: (1220, 598), 10: (1238, 571), 11: (963, 596), 12: (834, 591), 13: (705, 580), 14: (577, 570), 15: (450, 576), 16: (321, 566), 17: (1073, 432), 18: (559, 406), 19: (804, 423), 20: (682, 416), 21: (932, 431), 22: (1212, 423), 23: (311, 395), 24: (6, 369), 25: (449, 386), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (794, 314), 31: (668, 311), 32: (10, 316), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (262, 289), 37: (176, 289), 38: (551, 299), 39: (128, 304), 40: (1108, 289), 41: (432, 288), 42: (992, 276), 43: (1207, 321), 44: (868, 270), 45: (827, 259), 46: (966, 275), 47: (338, 271), 48: (749, 275), 49: (584, 265), 50: (1019, 269), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34), 114: (895, 685), 115: (381, 579), 116: (246, 614), 117: (451, 538), 118: (323, 530), 119: (1085, 347), 120: (594, 321), 121: (352, 320), 122: (735, 300), 123: (105, 289)}\n",
 372        "{0: (761, 680), 1: (1143, 596), 2: (1035, 582), 3: (880, 589), 4: (752, 587), 5: (615, 600), 6: (228, 575), 7: (1173, 597), 8: (1091, 601), 9: (1220, 598), 10: (1238, 571), 11: (963, 596), 12: (834, 591), 13: (705, 580), 14: (577, 570), 15: (450, 576), 16: (321, 566), 17: (1073, 432), 18: (559, 406), 19: (804, 423), 20: (682, 416), 21: (932, 431), 22: (1212, 423), 23: (311, 395), 24: (6, 369), 25: (449, 386), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (794, 314), 31: (668, 311), 32: (10, 316), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (262, 289), 37: (176, 289), 38: (551, 299), 39: (128, 304), 40: (1108, 289), 41: (432, 288), 42: (992, 276), 43: (1207, 321), 44: (868, 270), 45: (827, 259), 46: (966, 275), 47: (338, 271), 48: (748, 261), 49: (584, 265), 50: (1019, 269), 51: (631, 264), 52: (904, 264), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34), 114: (895, 685), 115: (381, 579), 116: (246, 614), 117: (451, 538), 118: (323, 530), 119: (1085, 347), 120: (594, 321), 121: (352, 320), 122: (735, 300), 123: (105, 289)}\n",
 373        "{0: (761, 680), 1: (1143, 596), 2: (1035, 582), 3: (880, 589), 4: (752, 587), 5: (615, 600), 6: (228, 575), 7: (1173, 597), 8: (1091, 601), 9: (1220, 598), 10: (1238, 571), 11: (963, 596), 12: (834, 591), 13: (705, 580), 14: (577, 570), 15: (450, 576), 16: (321, 566), 17: (1073, 432), 18: (559, 406), 19: (804, 423), 20: (682, 416), 21: (932, 431), 22: (1212, 423), 23: (311, 395), 24: (6, 369), 25: (449, 386), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (794, 314), 31: (668, 311), 32: (10, 316), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (262, 289), 37: (176, 289), 38: (551, 299), 39: (128, 304), 40: (1108, 289), 41: (432, 288), 42: (992, 276), 43: (1207, 321), 44: (868, 270), 45: (827, 259), 46: (966, 275), 47: (338, 271), 48: (748, 261), 49: (584, 265), 50: (1019, 269), 51: (631, 264), 52: (902, 252), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34), 114: (895, 685), 115: (381, 579), 116: (246, 614), 117: (451, 538), 118: (323, 530), 119: (1085, 347), 120: (594, 321), 121: (352, 320), 122: (735, 300), 123: (105, 289)}\n",
 374        "{0: (761, 680), 1: (1143, 596), 2: (1035, 582), 3: (880, 589), 4: (752, 587), 5: (615, 600), 6: (228, 575), 7: (1173, 597), 8: (1091, 601), 9: (1220, 598), 10: (1238, 571), 11: (963, 596), 12: (834, 591), 13: (705, 580), 14: (577, 570), 15: (450, 576), 16: (321, 566), 17: (1073, 432), 18: (559, 406), 19: (804, 423), 20: (682, 416), 21: (932, 431), 22: (1212, 423), 23: (311, 395), 24: (6, 369), 25: (449, 386), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (794, 314), 31: (668, 311), 32: (10, 316), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (262, 289), 37: (176, 289), 38: (551, 299), 39: (128, 304), 40: (1108, 289), 41: (432, 288), 42: (992, 276), 43: (1207, 321), 44: (868, 270), 45: (827, 259), 46: (966, 275), 47: (338, 271), 48: (748, 261), 49: (584, 265), 50: (1019, 269), 51: (628, 251), 52: (902, 252), 53: (213, 269), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34), 114: (895, 685), 115: (381, 579), 116: (246, 614), 117: (451, 538), 118: (323, 530), 119: (1085, 347), 120: (594, 321), 121: (352, 320), 122: (735, 300), 123: (105, 289)}\n",
 375        "{0: (761, 680), 1: (1143, 596), 2: (1035, 582), 3: (880, 589), 4: (752, 587), 5: (615, 600), 6: (228, 575), 7: (1173, 597), 8: (1091, 601), 9: (1220, 598), 10: (1238, 571), 11: (963, 596), 12: (834, 591), 13: (705, 580), 14: (577, 570), 15: (450, 576), 16: (321, 566), 17: (1073, 432), 18: (559, 406), 19: (804, 423), 20: (682, 416), 21: (932, 431), 22: (1212, 423), 23: (311, 395), 24: (6, 369), 25: (449, 386), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (794, 314), 31: (668, 311), 32: (10, 316), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (262, 289), 37: (176, 289), 38: (551, 299), 39: (128, 304), 40: (1108, 289), 41: (432, 288), 42: (992, 276), 43: (1207, 321), 44: (868, 270), 45: (827, 259), 46: (966, 275), 47: (338, 271), 48: (748, 261), 49: (584, 265), 50: (1019, 269), 51: (628, 251), 52: (902, 252), 53: (207, 260), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 254), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34), 114: (895, 685), 115: (381, 579), 116: (246, 614), 117: (451, 538), 118: (323, 530), 119: (1085, 347), 120: (594, 321), 121: (352, 320), 122: (735, 300), 123: (105, 289)}\n",
 376        "{0: (761, 680), 1: (1143, 596), 2: (1035, 582), 3: (880, 589), 4: (752, 587), 5: (615, 600), 6: (228, 575), 7: (1173, 597), 8: (1091, 601), 9: (1220, 598), 10: (1238, 571), 11: (963, 596), 12: (834, 591), 13: (705, 580), 14: (577, 570), 15: (450, 576), 16: (321, 566), 17: (1073, 432), 18: (559, 406), 19: (804, 423), 20: (682, 416), 21: (932, 431), 22: (1212, 423), 23: (311, 395), 24: (6, 369), 25: (449, 386), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (794, 314), 31: (668, 311), 32: (10, 316), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (262, 289), 37: (176, 289), 38: (551, 299), 39: (128, 304), 40: (1108, 289), 41: (432, 288), 42: (992, 276), 43: (1207, 321), 44: (868, 270), 45: (827, 259), 46: (966, 275), 47: (338, 271), 48: (748, 261), 49: (584, 265), 50: (1019, 269), 51: (628, 251), 52: (902, 252), 53: (207, 260), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (316, 249), 58: (783, 241), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34), 114: (895, 685), 115: (381, 579), 116: (246, 614), 117: (451, 538), 118: (323, 530), 119: (1085, 347), 120: (594, 321), 121: (352, 320), 122: (735, 300), 123: (105, 289), 124: (1170, 264)}\n",
 377        "{0: (761, 680), 1: (1143, 596), 2: (1035, 582), 3: (880, 589), 4: (752, 587), 5: (615, 600), 6: (228, 575), 7: (1173, 597), 8: (1091, 601), 9: (1220, 598), 10: (1238, 571), 11: (963, 596), 12: (834, 591), 13: (705, 580), 14: (577, 570), 15: (450, 576), 16: (321, 566), 17: (1073, 432), 18: (559, 406), 19: (804, 423), 20: (682, 416), 21: (932, 431), 22: (1212, 423), 23: (311, 395), 24: (6, 369), 25: (449, 386), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (794, 314), 31: (668, 311), 32: (10, 316), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (262, 289), 37: (176, 289), 38: (551, 299), 39: (128, 304), 40: (1108, 289), 41: (432, 288), 42: (992, 276), 43: (1207, 321), 44: (868, 270), 45: (827, 259), 46: (966, 275), 47: (338, 271), 48: (748, 261), 49: (584, 265), 50: (1019, 269), 51: (628, 251), 52: (902, 252), 53: (207, 260), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (312, 234), 58: (783, 241), 59: (1063, 244), 60: (11, 238), 61: (668, 243), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34), 114: (895, 685), 115: (381, 579), 116: (246, 614), 117: (451, 538), 118: (323, 530), 119: (1085, 347), 120: (594, 321), 121: (352, 320), 122: (735, 300), 123: (105, 289), 124: (1170, 264), 125: (570, 240)}\n",
 378        "{0: (761, 680), 1: (1143, 596), 2: (1035, 582), 3: (880, 589), 4: (752, 587), 5: (615, 600), 6: (228, 575), 7: (1173, 597), 8: (1091, 601), 9: (1220, 598), 10: (1238, 571), 11: (963, 596), 12: (834, 591), 13: (705, 580), 14: (577, 570), 15: (450, 576), 16: (321, 566), 17: (1073, 432), 18: (559, 406), 19: (804, 423), 20: (682, 416), 21: (932, 431), 22: (1212, 423), 23: (311, 395), 24: (6, 369), 25: (449, 386), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (794, 314), 31: (668, 311), 32: (10, 316), 33: (1037, 343), 34: (216, 318), 35: (299, 305), 36: (262, 289), 37: (176, 289), 38: (551, 299), 39: (128, 304), 40: (1108, 289), 41: (432, 288), 42: (992, 276), 43: (1207, 321), 44: (868, 270), 45: (827, 259), 46: (966, 275), 47: (338, 271), 48: (748, 261), 49: (584, 265), 50: (1019, 269), 51: (628, 251), 52: (902, 252), 53: (207, 260), 54: (706, 232), 55: (478, 261), 56: (511, 256), 57: (312, 234), 58: (783, 241), 59: (1063, 244), 60: (11, 238), 61: (660, 235), 62: (1096, 233), 63: (832, 234), 64: (236, 224), 65: (1200, 256), 66: (355, 223), 67: (965, 228), 68: (860, 211), 69: (1017, 203), 70: (741, 203), 71: (780, 183), 72: (1181, 198), 73: (1057, 193), 74: (1262, 176), 75: (588, 199), 76: (938, 186), 77: (354, 178), 78: (236, 177), 79: (835, 178), 80: (469, 173), 81: (905, 130), 82: (705, 170), 83: (287, 231), 84: (777, 119), 85: (144, 403), 86: (50, 94), 87: (883, 53), 88: (839, 64), 89: (619, 59), 90: (730, 60), 91: (555, 58), 92: (447, 56), 93: (364, 56), 94: (780, 59), 95: (499, 56), 96: (248, 52), 97: (407, 65), 98: (27, 46), 99: (962, 49), 100: (650, 48), 101: (304, 38), 102: (192, 57), 103: (1246, 33), 104: (806, 19), 105: (1267, 19), 106: (1178, 22), 107: (1110, 9), 108: (887, 13), 109: (645, 11), 110: (564, 5), 111: (512, 4), 112: (421, 8), 113: (79, 34), 114: (895, 685), 115: (381, 579), 116: (246, 614), 117: (451, 538), 118: (323, 530), 119: (1085, 347), 120: (594, 321), 121: (352, 320), 122: (735, 300), 123: (105, 289), 124: (1170, 264), 125: (570, 240)}\n",
 379        "{0: (761, 680), 1: (1143, 596), 2: (1035, 582), 3: (880, 589), 4: (752, 587), 5: (615, 600), 6: (228, 575), 7: (1173, 597), 8: (1091, 601), 9: (1220, 598), 10: (1238, 571), 11: (963, 596), 12: (834, 591), 13: (705, 580), 14: (577, 570), 15: (450, 576), 16: (321, 566), 17: (1073, 432), 18: (559, 406), 19: (804, 423), 20: (682, 416), 21: (932, 431), 22: (1212, 423), 23: (311, 395), 24: (6, 369), 25: (449, 386), 26: (197, 512), 27: (915, 344), 28: (361, 346), 29: (832, 338), 30: (794, 314), 31: (668, 311), 32: (10, 316), 33: (1037, 3