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outputs.py
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#The expected output hulls for all data sets
#Data set A
outputs_A = [[(72.0, 15.0), (979.3, 560.0), (432.0, 993.0)],
[(944.0, 22.52), (944.0, 996.0), (1.91, 22.52)], [(964.0, 20.0), (621.0, 991.0), (13.0, 991.0)],
[(40.0, 19.0), (971.66, 81.41), (762.0, 982.0), (19.0, 938.0)], [(632.0, 25.0), (982.0, 983.0), (1.0, 983.0), (187.0, 25.0)],
[(465.0, 15.0), (987.83, 567.0), (455.0, 996.0), (14.0, 545.0)], [(453.0, 6.0), (980.0, 817.0), (451.0, 996.0), (5.0, 800.0)],
[(833.0, 20.11), (982.0, 610.0), (179.0, 993.0), (15.0, 939.0), (43.0, 62.0)], [(439.0, 8.0), (984.0, 480.0), (743.92, 997.06), (234.39, 997.06), (9.0, 474.0)],
[(966.0, 14.0), (966.0, 990.0), (106.0, 988.0), (18.0, 960.0), (18.0, 14.0)]]
#Data set B
outputs_B = [
[(475.4, 30.61), (573.53, 35.76), (668.44, 61.19), (756.0, 105.8), (832.36, 167.64), (894.2, 244.0), (938.81, 331.56), (964.24, 426.47), (969.39, 524.6), (954.02, 621.65), (918.8, 713.39), (865.28, 795.8), (795.8, 865.28), (713.39, 918.8),
(621.65, 954.02), (524.6, 969.39), (426.47, 964.24), (331.56, 938.81), (244.0, 894.2), (167.64, 832.36), (105.8, 756.0), (61.19, 668.44), (35.76, 573.53), (30.61, 475.4), (45.98, 378.35), (81.2, 286.61), (134.72, 204.2), (204.2, 134.72), (286.61, 81.2), (378.35, 45.98)],
[(500.0, 29.47), (549.18, 32.05), (597.83, 39.76), (645.4, 52.5), (691.38, 70.15), (735.26, 92.51), (776.57, 119.34), (814.84, 150.33), (849.67, 185.16), (880.66, 223.43), (907.49, 264.74), (929.85, 308.62), (947.5, 354.6), (960.24, 402.17),
(967.95, 450.82), (970.53, 500.0), (967.95, 549.18), (960.24, 597.83), (947.5, 645.4), (929.85, 691.38), (907.49, 735.26), (880.66, 776.57), (849.67, 814.84), (814.84, 849.67), (776.57, 880.66), (735.26, 907.49), (691.38, 929.85), (645.4, 947.5),
(597.83, 960.24), (549.18, 967.95), (500.0, 970.53), (450.82, 967.95), (402.17, 960.24), (354.6, 947.5), (308.62, 929.85), (264.74, 907.49), (223.43, 880.66), (185.16, 849.67), (150.33, 814.84), (119.34, 776.57), (92.51, 735.26), (70.15, 691.38),
(52.5, 645.4), (39.76, 597.83), (32.05, 549.18), (29.47, 500.0), (32.05, 450.82), (39.76, 402.17), (52.5, 354.6), (70.15, 308.62), (92.51, 264.74), (119.34, 223.43), (150.33, 185.16), (185.16, 150.33), (223.43, 119.34), (264.74, 92.51),
(308.62, 70.15), (354.6, 52.5), (402.17, 39.76), (450.82, 32.05)],
[(491.53, 14.67), (525.4, 15.26), (559.16, 18.21), (592.62, 23.51), (625.63, 31.13), (658.03, 41.04), (689.66, 53.18), (720.37, 67.5), (750.0, 83.93), (778.42, 102.38), (805.48, 122.77), (831.05, 145.0), (855.0, 168.95), (877.23, 194.52),
(897.62, 221.58), (916.07, 250.0), (932.5, 279.63), (946.82, 310.34), (958.96, 341.97), (968.87, 374.37), (976.49, 407.38), (981.79, 440.84), (984.74, 474.6), (985.33, 508.47), (983.56, 542.31), (979.43, 575.93), (972.96, 609.19), (964.2, 641.92),
(953.16, 673.95), (939.93, 705.14), (924.54, 735.33), (907.09, 764.37), (887.66, 792.12), (866.34, 818.45), (843.23, 843.23), (818.45, 866.34), (792.12, 887.66), (764.37, 907.09), (735.33, 924.54), (705.14, 939.93), (673.95, 953.16), (641.92, 964.2),
(609.19, 972.96), (575.93, 979.43), (542.31, 983.56), (508.47, 985.33), (474.6, 984.74), (440.84, 981.79), (407.38, 976.49), (374.37, 968.87), (341.97, 958.96), (310.34, 946.82), (279.63, 932.5), (250.0, 916.07), (221.58, 897.62), (194.52, 877.23),
(168.95, 855.0), (145.0, 831.05), (122.77, 805.48), (102.38, 778.42), (83.93, 750.0), (67.5, 720.37), (53.18, 689.66), (41.04, 658.03), (31.13, 625.63), (23.51, 592.62), (18.21, 559.16), (15.26, 525.4), (14.67, 491.53), (16.44, 457.69),
(20.57, 424.07), (27.04, 390.81), (35.8, 358.08), (46.84, 326.05), (60.07, 294.86), (75.46, 264.67), (92.91, 235.63), (112.34, 207.88), (133.66, 181.55), (156.77, 156.77), (181.55, 133.66), (207.88, 112.34), (235.63, 92.91), (264.67, 75.46),
(294.86, 60.07), (326.05, 46.84), (358.08, 35.8), (390.81, 27.04), (424.07, 20.57), (457.69, 16.44)],
[(500.0, 22.01), (525.02, 22.67), (549.96, 24.63), (574.77, 27.9), (599.38, 32.46), (623.71, 38.3), (647.71, 45.4), (671.3, 53.76), (694.42, 63.33), (717.0, 74.11), (738.99, 86.05), (760.33, 99.12), (780.96, 113.3), (800.81, 128.53),
(819.84, 144.78), (837.99, 162.01), (855.22, 180.16), (871.47, 199.19), (886.7, 219.04), (900.88, 239.67), (913.95, 261.01), (925.89, 283.0), (936.67, 305.58), (946.24, 328.7), (954.6, 352.29), (961.7, 376.29), (967.54, 400.62), (972.1, 425.23),
(975.37, 450.04), (977.33, 474.98), (977.99, 500.0), (977.33, 525.02), (975.37, 549.96), (972.1, 574.77), (967.54, 599.38), (961.7, 623.71), (954.6, 647.71), (946.24, 671.3), (936.67, 694.42), (925.89, 717.0), (913.95, 738.99), (900.88, 760.33),
(886.7, 780.96), (871.47, 800.81), (855.22, 819.84), (837.99, 837.99), (819.84, 855.22), (800.81, 871.47), (780.96, 886.7), (760.33, 900.88), (738.99, 913.95), (717.0, 925.89), (694.42, 936.67), (671.3, 946.24), (647.71, 954.6), (623.71, 961.7),
(599.38, 967.54), (574.77, 972.1), (549.96, 975.37), (525.02, 977.33), (500.0, 977.99), (474.98, 977.33), (450.04, 975.37), (425.23, 972.1), (400.62, 967.54), (376.29, 961.7), (352.29, 954.6), (328.7, 946.24), (305.58, 936.67), (283.0, 925.89),
(261.01, 913.95), (239.67, 900.88), (219.04, 886.7), (199.19, 871.47), (180.16, 855.22), (162.01, 837.99), (144.78, 819.84), (128.53, 800.81), (113.3, 780.96), (99.12, 760.33), (86.05, 738.99), (74.11, 717.0), (63.33, 694.42), (53.76, 671.3),
(45.4, 647.71), (38.3, 623.71), (32.46, 599.38), (27.9, 574.77), (24.63, 549.96), (22.67, 525.02), (22.01, 500.0), (22.67, 474.98), (24.63, 450.04), (27.9, 425.23), (32.46, 400.62), (38.3, 376.29), (45.4, 352.29), (53.76, 328.7),
(63.33, 305.58), (74.11, 283.0), (86.05, 261.01), (99.12, 239.67), (113.3, 219.04), (128.53, 199.19), (144.78, 180.16), (162.01, 162.01), (180.16, 144.78), (199.19, 128.53), (219.04, 113.3), (239.67, 99.12), (261.01, 86.05), (283.0, 74.11),
(305.58, 63.33), (328.7, 53.76), (352.29, 45.4), (376.29, 38.3), (400.62, 32.46), (425.23, 27.9), (450.04, 24.63), (474.98, 22.67)],
[(495.02, 24.79), (514.93, 25.0), (534.8, 26.04), (554.62, 27.91), (574.34, 30.62), (593.93, 34.14), (613.36, 38.48), (632.58, 43.63), (651.58, 49.59), (670.31, 56.33), (688.74, 63.85), (706.83, 72.14), (724.57, 81.17), (741.91, 90.94),
(758.83, 101.43), (775.29, 112.62), (791.27, 124.49), (806.74, 137.02), (821.67, 150.18), (836.04, 163.96), (849.82, 178.32), (862.98, 193.25), (875.51, 208.72), (887.38, 224.7), (898.56, 241.17), (909.05, 258.08), (918.82, 275.42), (927.86, 293.16),
(936.15, 311.26), (943.67, 329.69), (950.41, 348.42), (956.36, 367.41), (961.52, 386.64), (965.86, 406.06), (969.38, 425.65), (972.09, 445.37), (973.96, 465.19), (975.0, 485.07), (975.21, 504.97), (974.58, 524.87), (973.13, 544.72), (970.84, 564.49),
(967.73, 584.15), (963.79, 603.66), (959.04, 623.0), (953.49, 642.11), (947.14, 660.98), (940.01, 679.56), (932.1, 697.83), (923.44, 715.75), (914.03, 733.29), (903.9, 750.43), (893.06, 767.12), (881.53, 783.35), (869.33, 799.08), (856.48, 814.28),
(843.01, 828.93), (828.93, 843.01), (814.28, 856.48), (799.08, 869.33), (783.35, 881.53), (767.12, 893.06), (750.43, 903.9), (733.29, 914.03), (715.75, 923.44), (697.83, 932.1), (679.56, 940.01), (660.98, 947.14), (642.11, 953.49), (623.0, 959.04),
(603.67, 963.79), (584.16, 967.72), (564.5, 970.84), (544.72, 973.13), (524.87, 974.58), (504.98, 975.21), (485.07, 975.0), (465.19, 973.96), (445.38, 972.09), (425.66, 969.38), (406.07, 965.86), (386.64, 961.52), (367.41, 956.37), (348.42, 950.41),
(329.69, 943.67), (311.26, 936.15), (293.16, 927.86), (275.43, 918.83), (258.09, 909.05), (241.17, 898.57), (224.7, 887.38), (208.72, 875.51), (193.26, 862.98), (178.32, 849.82), (163.96, 836.04), (150.18, 821.68), (137.02, 806.74), (124.49, 791.28),
(112.62, 775.29), (101.43, 758.83), (90.94, 741.91), (81.17, 724.57), (72.14, 706.84), (63.85, 688.74), (56.33, 670.31), (49.59, 651.58), (43.63, 632.59), (38.48, 613.36), (34.14, 593.93), (30.62, 574.34), (27.91, 554.62), (26.04, 534.81),
(25.0, 514.93), (24.79, 495.02), (25.42, 475.13), (26.87, 455.28), (29.16, 435.5), (32.28, 415.84), (36.21, 396.33), (40.96, 377.0), (46.51, 357.89), (52.86, 339.02), (59.99, 320.44), (67.9, 302.17), (76.56, 284.25), (85.97, 266.71),
(96.1, 249.57), (106.94, 232.88), (118.47, 216.65), (130.67, 200.93), (143.52, 185.72), (156.99, 171.07), (171.07, 157.0), (185.72, 143.52), (200.92, 130.67), (216.65, 118.47), (232.88, 106.94), (249.57, 96.1), (266.7, 85.97), (284.25, 76.56),
(302.17, 67.9), (320.43, 59.99), (339.02, 52.86), (357.88, 46.51), (377.0, 40.96), (396.33, 36.21), (415.84, 32.28), (435.5, 29.16), (455.27, 26.87), (475.13, 25.42)],
[(500.0, 6.85), (517.21, 7.16), (534.4, 8.06), (551.55, 9.56), (568.63, 11.65), (585.63, 14.35), (602.53, 17.63), (619.3, 21.5), (635.93, 25.96), (652.39, 30.99), (668.67, 36.6), (684.74, 42.76), (700.58, 49.49), (716.18, 56.76),
(731.52, 64.58), (746.57, 72.92), (761.33, 81.79), (775.76, 91.16), (789.86, 101.04), (803.61, 111.4), (816.99, 122.23), (829.98, 133.52), (842.57, 145.26), (854.74, 157.43), (866.48, 170.02), (877.77, 183.01), (888.6, 196.39), (898.96, 210.14),
(908.84, 224.24), (918.21, 238.67), (927.08, 253.43), (935.42, 268.48), (943.24, 283.82), (950.51, 299.42), (957.24, 315.26), (963.4, 331.33), (969.01, 347.61), (974.04, 364.07), (978.5, 380.7), (982.37, 397.47), (985.65, 414.37), (988.35, 431.37),
(990.44, 448.45), (991.94, 465.6), (992.84, 482.79), (993.15, 500.0), (992.84, 517.21), (991.94, 534.4), (990.44, 551.55), (988.35, 568.63), (985.65, 585.63), (982.37, 602.53), (978.5, 619.3), (974.04, 635.93), (969.01, 652.39), (963.4, 668.67),
(957.24, 684.74), (950.51, 700.58), (943.24, 716.18), (935.42, 731.52), (927.08, 746.57), (918.21, 761.33), (908.84, 775.76), (898.96, 789.86), (888.6, 803.61), (877.77, 816.99), (866.48, 829.98), (854.74, 842.57), (842.57, 854.74), (829.98, 866.48),
(816.99, 877.77), (803.61, 888.6), (789.86, 898.96), (775.76, 908.84), (761.33, 918.21), (746.57, 927.08), (731.52, 935.42), (716.18, 943.24), (700.58, 950.51), (684.74, 957.24), (668.67, 963.4), (652.39, 969.01), (635.93, 974.04), (619.3, 978.5),
(602.53, 982.37), (585.63, 985.65), (568.63, 988.35), (551.55, 990.44), (534.4, 991.94), (517.21, 992.84), (500.0, 993.15), (482.79, 992.84), (465.6, 991.94), (448.45, 990.44), (431.37, 988.35), (414.37, 985.65), (397.47, 982.37), (380.7, 978.5),
(364.07, 974.04), (347.61, 969.01), (331.33, 963.4), (315.26, 957.24), (299.42, 950.51), (283.82, 943.24), (268.48, 935.42), (253.43, 927.08), (238.67, 918.21), (224.24, 908.84), (210.14, 898.96), (196.39, 888.6), (183.01, 877.77), (170.02, 866.48),
(157.43, 854.74), (145.26, 842.57), (133.52, 829.98), (122.23, 816.99), (111.4, 803.61), (101.04, 789.86), (91.16, 775.76), (81.79, 761.33), (72.92, 746.57), (64.58, 731.52), (56.76, 716.18), (49.49, 700.58), (42.76, 684.74), (36.6, 668.67),
(30.99, 652.39), (25.96, 635.93), (21.5, 619.3), (17.63, 602.53), (14.35, 585.63), (11.65, 568.63), (9.56, 551.55), (8.06, 534.4), (7.16, 517.21), (6.85, 500.0), (7.16, 482.79), (8.06, 465.6), (9.56, 448.45), (11.65, 431.37),
(14.35, 414.37), (17.63, 397.47), (21.5, 380.7), (25.96, 364.07), (30.99, 347.61), (36.6, 331.33), (42.76, 315.26), (49.49, 299.42), (56.76, 283.82), (64.58, 268.48), (72.92, 253.43), (81.79, 238.67), (91.16, 224.24), (101.04, 210.14),
(111.4, 196.39), (122.23, 183.01), (133.52, 170.02), (145.26, 157.43), (157.43, 145.26), (170.02, 133.52), (183.01, 122.23), (196.39, 111.4), (210.14, 101.04), (224.24, 91.16), (238.67, 81.79), (253.43, 72.92), (268.48, 64.58), (283.82, 56.76),
(299.42, 49.49), (315.26, 42.76), (331.33, 36.6), (347.61, 30.99), (364.07, 25.96), (380.7, 21.5), (397.47, 17.63), (414.37, 14.35), (431.37, 11.65), (448.45, 9.56), (465.6, 8.06), (482.79, 7.16)],
[(496.42, 22.0), (510.72, 22.1), (525.01, 22.64), (539.28, 23.6), (553.52, 24.99), (567.7, 26.8), (581.83, 29.04), (595.88, 31.7), (609.85, 34.78), (623.72, 38.27), (637.48, 42.18), (651.11, 46.5), (664.61, 51.22), (677.96, 56.34),
(691.15, 61.87), (704.17, 67.78), (717.01, 74.08), (729.66, 80.77), (742.1, 87.82), (754.32, 95.25), (766.31, 103.04), (778.07, 111.18), (789.58, 119.68), (800.82, 128.51), (811.8, 137.68), (822.5, 147.17), (832.91, 156.97), (843.03, 167.08),
(852.83, 177.49), (862.32, 188.19), (871.49, 199.17), (880.32, 210.42), (888.81, 221.93), (896.96, 233.68), (904.75, 245.68), (912.18, 257.9), (919.23, 270.34), (925.92, 282.98), (932.22, 295.82), (938.13, 308.84), (943.65, 322.04), (948.78, 335.39),
(953.5, 348.89), (957.82, 362.52), (961.73, 376.28), (965.22, 390.15), (968.3, 404.11), (970.96, 418.17), (973.2, 432.29), (975.01, 446.48), (976.4, 460.71), (977.36, 474.98), (977.9, 489.27), (978.0, 503.58), (977.68, 517.87), (976.93, 532.16),
(975.76, 546.41), (974.16, 560.62), (972.13, 574.78), (969.68, 588.87), (966.81, 602.88), (963.53, 616.8), (959.83, 630.61), (955.71, 644.31), (951.19, 657.88), (946.27, 671.31), (940.94, 684.58), (935.22, 697.69), (929.12, 710.62), (922.62, 723.36),
(915.75, 735.91), (908.51, 748.24), (900.9, 760.35), (892.93, 772.22), (884.61, 783.86), (875.95, 795.24), (866.95, 806.35), (857.62, 817.19), (847.97, 827.75), (838.01, 838.01), (827.75, 847.97), (817.19, 857.62), (806.35, 866.95), (795.24, 875.95),
(783.86, 884.61), (772.22, 892.93), (760.35, 900.9), (748.24, 908.51), (735.91, 915.75), (723.36, 922.62), (710.62, 929.12), (697.69, 935.22), (684.58, 940.94), (671.31, 946.27), (657.88, 951.19), (644.31, 955.71), (630.61, 959.83), (616.8, 963.53),
(602.88, 966.81), (588.87, 969.68), (574.78, 972.13), (560.62, 974.16), (546.41, 975.76), (532.16, 976.93), (517.87, 977.68), (503.58, 978.0), (489.27, 977.9), (474.98, 977.36), (460.71, 976.4), (446.48, 975.01), (432.29, 973.2), (418.17, 970.96),
(404.11, 968.3), (390.15, 965.22), (376.28, 961.73), (362.52, 957.82), (348.89, 953.5), (335.39, 948.78), (322.04, 943.65), (308.84, 938.13), (295.82, 932.22), (282.98, 925.92), (270.34, 919.23), (257.9, 912.18), (245.68, 904.75), (233.68, 896.96),
(221.93, 888.81), (210.42, 880.32), (199.17, 871.49), (188.2, 862.32), (177.5, 852.83), (167.08, 843.03), (156.97, 832.91), (147.17, 822.5), (137.68, 811.8), (128.51, 800.83), (119.68, 789.58), (111.19, 778.07), (103.04, 766.32), (95.25, 754.32),
(87.82, 742.1), (80.77, 729.66), (74.08, 717.02), (67.78, 704.18), (61.87, 691.16), (56.35, 677.96), (51.22, 664.61), (46.5, 651.11), (42.18, 637.48), (38.27, 623.72), (34.78, 609.85), (31.7, 595.89), (29.04, 581.83), (26.8, 567.71),
(24.99, 553.52), (23.6, 539.29), (22.64, 525.02), (22.1, 510.73), (22.0, 496.43), (22.32, 482.13), (23.07, 467.85), (24.24, 453.59), (25.84, 439.38), (27.87, 425.22), (30.32, 411.13), (33.18, 397.12), (36.47, 383.2), (40.17, 369.39),
(44.29, 355.69), (48.81, 342.12), (53.73, 328.7), (59.06, 315.42), (64.78, 302.31), (70.88, 289.38), (77.38, 276.64), (84.25, 264.1), (91.49, 251.76), (99.1, 239.66), (107.07, 227.78), (115.39, 216.15), (124.05, 204.77), (133.05, 193.65),
(142.38, 182.81), (152.03, 172.26), (161.99, 161.99), (172.25, 152.03), (182.81, 142.38), (193.65, 133.05), (204.76, 124.05), (216.14, 115.39), (227.77, 107.07), (239.65, 99.1), (251.76, 91.49), (264.09, 84.25), (276.63, 77.38), (289.38, 70.89),
(302.31, 64.78), (315.42, 59.06), (328.69, 53.73), (342.12, 48.81), (355.69, 44.29), (369.38, 40.17), (383.2, 36.47), (397.12, 33.19), (411.13, 30.32), (425.22, 27.87), (439.38, 25.84), (453.59, 24.24), (467.84, 23.07), (482.12, 22.32)],
[(500.0, 28.28), (512.35, 28.44), (524.69, 28.92), (537.01, 29.73), (549.31, 30.86), (561.57, 32.31), (573.79, 34.09), (585.96, 36.18), (598.08, 38.59), (610.12, 41.31), (622.09, 44.35), (633.98, 47.7), (645.77, 51.37), (657.46, 55.34),
(669.05, 59.61), (680.52, 64.19), (691.87, 69.06), (703.08, 74.23), (714.16, 79.69), (725.09, 85.44), (735.86, 91.48), (746.47, 97.79), (756.92, 104.38), (767.19, 111.24), (777.27, 118.37), (787.17, 125.76), (796.86, 133.4), (806.36, 141.3),
(815.64, 149.44), (824.71, 157.82), (833.56, 166.44), (842.18, 175.29), (850.56, 184.36), (858.7, 193.64), (866.6, 203.14), (874.24, 212.83), (881.63, 222.73), (888.76, 232.81), (895.62, 243.08), (902.21, 253.53), (908.52, 264.14), (914.56, 274.91),
(920.31, 285.84), (925.77, 296.92), (930.94, 308.13), (935.81, 319.48), (940.39, 330.95), (944.66, 342.54), (948.63, 354.23), (952.3, 366.02), (955.65, 377.91), (958.69, 389.88), (961.41, 401.92), (963.82, 414.04), (965.91, 426.21), (967.69, 438.43),
(969.14, 450.69), (970.27, 462.99), (971.08, 475.31), (971.56, 487.65), (971.72, 500.0), (971.56, 512.35), (971.08, 524.69), (970.27, 537.01), (969.14, 549.31), (967.69, 561.57), (965.91, 573.79), (963.82, 585.96), (961.41, 598.08), (958.69, 610.12),
(955.65, 622.09), (952.3, 633.98), (948.63, 645.77), (944.66, 657.46), (940.39, 669.05), (935.81, 680.52), (930.94, 691.87), (925.77, 703.08), (920.31, 714.16), (914.56, 725.09), (908.52, 735.86), (902.21, 746.47), (895.62, 756.92), (888.76, 767.19),
(881.63, 777.27), (874.24, 787.17), (866.6, 796.86), (858.7, 806.36), (850.56, 815.64), (842.18, 824.71), (833.56, 833.56), (824.71, 842.18), (815.64, 850.56), (806.36, 858.7), (796.86, 866.6), (787.17, 874.24), (777.27, 881.63), (767.19, 888.76),
(756.92, 895.62), (746.47, 902.21), (735.86, 908.52), (725.09, 914.56), (714.16, 920.31), (703.08, 925.77), (691.87, 930.94), (680.52, 935.81), (669.05, 940.39), (657.46, 944.66), (645.77, 948.63), (633.98, 952.3), (622.09, 955.65), (610.12, 958.69),
(598.08, 961.41), (585.96, 963.82), (573.79, 965.91), (561.57, 967.69), (549.31, 969.14), (537.01, 970.27), (524.69, 971.08), (512.35, 971.56), (500.0, 971.72), (487.65, 971.56), (475.31, 971.08), (462.99, 970.27), (450.69, 969.14), (438.43, 967.69),
(426.21, 965.91), (414.04, 963.82), (401.92, 961.41), (389.88, 958.69), (377.91, 955.65), (366.02, 952.3), (354.23, 948.63), (342.54, 944.66), (330.95, 940.39), (319.48, 935.81), (308.13, 930.94), (296.92, 925.77), (285.84, 920.31), (274.91, 914.56),
(264.14, 908.52), (253.53, 902.21), (243.08, 895.62), (232.81, 888.76), (222.73, 881.63), (212.83, 874.24), (203.14, 866.6), (193.64, 858.7), (184.36, 850.56), (175.29, 842.18), (166.44, 833.56), (157.82, 824.71), (149.44, 815.64), (141.3, 806.36),
(133.4, 796.86), (125.76, 787.17), (118.37, 777.27), (111.24, 767.19), (104.38, 756.92), (97.79, 746.47), (91.48, 735.86), (85.44, 725.09), (79.69, 714.16), (74.23, 703.08), (69.06, 691.87), (64.19, 680.52), (59.61, 669.05), (55.34, 657.46),
(51.37, 645.77), (47.7, 633.98), (44.35, 622.09), (41.31, 610.12), (38.59, 598.08), (36.18, 585.96), (34.09, 573.79), (32.31, 561.57), (30.86, 549.31), (29.73, 537.01), (28.92, 524.69), (28.44, 512.35), (28.28, 500.0), (28.44, 487.65),
(28.92, 475.31), (29.73, 462.99), (30.86, 450.69), (32.31, 438.43), (34.09, 426.21), (36.18, 414.04), (38.59, 401.92), (41.31, 389.88), (44.35, 377.91), (47.7, 366.02), (51.37, 354.23), (55.34, 342.54), (59.61, 330.95), (64.19, 319.48),
(69.06, 308.13), (74.23, 296.92), (79.69, 285.84), (85.44, 274.91), (91.48, 264.14), (97.79, 253.53), (104.38, 243.08), (111.24, 232.81), (118.37, 222.73), (125.76, 212.83), (133.4, 203.14), (141.3, 193.64), (149.44, 184.36), (157.82, 175.29),
(166.44, 166.44), (175.29, 157.82), (184.36, 149.44), (193.64, 141.3), (203.14, 133.4), (212.83, 125.76), (222.73, 118.37), (232.81, 111.24), (243.08, 104.38), (253.53, 97.79), (264.14, 91.48), (274.91, 85.44), (285.84, 79.69), (296.92, 74.23),
(308.13, 69.06), (319.48, 64.19), (330.95, 59.61), (342.54, 55.34), (354.23, 51.37), (366.02, 47.7), (377.91, 44.35), (389.88, 41.31), (401.92, 38.59), (414.04, 36.18), (426.21, 34.09), (438.43, 32.31), (450.69, 30.86), (462.99, 29.73),
(475.31, 28.92), (487.65, 28.44)],
[(497.23, 25.11), (508.29, 25.17), (519.33, 25.49), (530.37, 26.07), (541.39, 26.91), (552.39, 28.0), (563.35, 29.34), (574.29, 30.95), (585.18, 32.8), (596.03, 34.91), (606.83, 37.27), (617.57, 39.88), (628.24, 42.74), (638.85, 45.85),
(649.38, 49.2), (659.83, 52.8), (670.19, 56.64), (680.46, 60.72), (690.63, 65.04), (700.7, 69.59), (710.66, 74.38), (720.51, 79.4), (730.24, 84.64), (739.84, 90.11), (749.31, 95.8), (758.65, 101.71), (767.85, 107.84), (776.9, 114.18),
(785.8, 120.73), (794.55, 127.48), (803.14, 134.44), (811.56, 141.59), (819.82, 148.94), (827.9, 156.47), (835.81, 164.19), (843.53, 172.1), (851.07, 180.18), (858.41, 188.44), (865.57, 196.86), (872.52, 205.45), (879.27, 214.2), (885.82, 223.1),
(892.16, 232.15), (898.29, 241.35), (904.2, 250.69), (909.89, 260.16), (915.36, 269.76), (920.6, 279.49), (925.62, 289.34), (930.41, 299.3), (934.96, 309.37), (939.28, 319.54), (943.36, 329.81), (947.2, 340.18), (950.8, 350.62), (954.15, 361.15),
(957.26, 371.76), (960.12, 382.43), (962.73, 393.17), (965.09, 403.97), (967.2, 414.82), (969.05, 425.71), (970.66, 436.65), (972.0, 447.62), (973.09, 458.61), (973.93, 469.63), (974.51, 480.67), (974.83, 491.72), (974.89, 502.77), (974.7, 513.82),
(974.25, 524.86), (973.54, 535.89), (972.58, 546.9), (971.36, 557.88), (969.89, 568.83), (968.16, 579.75), (966.17, 590.62), (963.94, 601.44), (961.45, 612.21), (958.72, 622.92), (955.73, 633.56), (952.5, 644.13), (949.03, 654.62), (945.31, 665.02),
(941.35, 675.34), (937.15, 685.56), (932.71, 695.68), (928.04, 705.7), (923.14, 715.6), (918.01, 725.39), (912.65, 735.05), (907.07, 744.59), (901.27, 754.0), (895.25, 763.27), (889.02, 772.39), (882.57, 781.37), (875.92, 790.2), (869.07, 798.86),
(862.01, 807.37), (854.76, 815.71), (847.32, 823.88), (839.69, 831.88), (831.88, 839.69), (823.88, 847.32), (815.71, 854.76), (807.37, 862.01), (798.86, 869.07), (790.2, 875.92), (781.37, 882.57), (772.39, 889.02), (763.27, 895.25), (754.0, 901.27),
(744.59, 907.07), (735.05, 912.65), (725.39, 918.01), (715.6, 923.14), (705.7, 928.04), (695.68, 932.71), (685.56, 937.15), (675.34, 941.35), (665.02, 945.31), (654.61, 949.03), (644.12, 952.5), (633.55, 955.73), (622.91, 958.72), (612.21, 961.45),
(601.44, 963.94), (590.62, 966.18), (579.74, 968.16), (568.83, 969.89), (557.88, 971.36), (546.89, 972.58), (535.88, 973.54), (524.85, 974.25), (513.81, 974.7), (502.76, 974.89), (491.71, 974.83), (480.67, 974.51), (469.63, 973.93), (458.61, 973.09),
(447.61, 972.0), (436.64, 970.66), (425.71, 969.05), (414.81, 967.2), (403.97, 965.09), (393.17, 962.73), (382.43, 960.12), (371.76, 957.26), (361.15, 954.15), (350.62, 950.8), (340.17, 947.2), (329.81, 943.36), (319.54, 939.28), (309.37, 934.96),
(299.3, 930.41), (289.34, 925.62), (279.49, 920.6), (269.76, 915.36), (260.16, 909.89), (250.69, 904.2), (241.35, 898.28), (232.15, 892.16), (223.1, 885.82), (214.2, 879.27), (205.45, 872.52), (196.86, 865.56), (188.44, 858.41), (180.18, 851.06),
(172.1, 843.53), (164.19, 835.81), (156.47, 827.9), (148.93, 819.82), (141.59, 811.56), (134.44, 803.14), (127.48, 794.55), (120.73, 785.8), (114.18, 776.9), (107.84, 767.85), (101.71, 758.65), (95.8, 749.31), (90.11, 739.84), (84.64, 730.24),
(79.4, 720.51), (74.38, 710.66), (69.59, 700.7), (65.04, 690.63), (60.72, 680.46), (56.64, 670.19), (52.8, 659.83), (49.2, 649.38), (45.85, 638.85), (42.74, 628.24), (39.88, 617.57), (37.27, 606.83), (34.91, 596.03), (32.8, 585.19),
(30.95, 574.29), (29.34, 563.36), (28.0, 552.39), (26.91, 541.39), (26.07, 530.37), (25.49, 519.34), (25.17, 508.29), (25.11, 497.24), (25.3, 486.19), (25.75, 475.15), (26.46, 464.12), (27.42, 453.11), (28.64, 442.13), (30.11, 431.17),
(31.84, 420.26), (33.82, 409.39), (36.06, 398.56), (38.55, 387.8), (41.28, 377.09), (44.27, 366.45), (47.5, 355.88), (50.97, 345.39), (54.69, 334.98), (58.65, 324.67), (62.85, 314.44), (67.29, 304.32), (71.96, 294.31), (76.86, 284.4),
(81.99, 274.61), (87.35, 264.95), (92.93, 255.41), (98.73, 246.0), (104.75, 236.74), (110.98, 227.61), (117.43, 218.63), (124.08, 209.81), (130.93, 201.14), (137.99, 192.63), (145.24, 184.29), (152.68, 176.12), (160.31, 168.13), (168.12, 160.31),
(176.12, 152.68), (184.29, 145.24), (192.63, 137.99), (201.13, 130.93), (209.8, 124.08), (218.63, 117.43), (227.61, 110.99), (236.73, 104.75), (246.0, 98.73), (255.41, 92.93), (264.94, 87.35), (274.61, 81.99), (284.4, 76.86), (294.3, 71.96),
(304.32, 67.29), (314.44, 62.85), (324.66, 58.65), (334.98, 54.69), (345.38, 50.97), (355.87, 47.5), (366.44, 44.27), (377.08, 41.28), (387.79, 38.55), (398.56, 36.06), (409.38, 33.83), (420.25, 31.84), (431.17, 30.11), (442.12, 28.64),
(453.11, 27.42), (464.11, 26.46), (475.14, 25.75), (486.19, 25.3)],
[(500.0, 29.24), (509.86, 29.34), (519.71, 29.65), (529.56, 30.17), (539.39, 30.89), (549.21, 31.82), (559.0, 32.95), (568.77, 34.29), (578.51, 35.83), (588.21, 37.58), (597.88, 39.52), (607.5, 41.68), (617.07, 44.03), (626.6, 46.58),
(636.06, 49.33), (645.47, 52.28), (654.82, 55.42), (664.09, 58.76), (673.3, 62.3), (682.43, 66.02), (691.48, 69.94), (700.44, 74.04), (709.32, 78.33), (718.1, 82.81), (726.79, 87.47), (735.38, 92.31), (743.87, 97.33), (752.25, 102.52),
(760.52, 107.89), (768.67, 113.43), (776.71, 119.15), (784.62, 125.02), (792.41, 131.07), (800.08, 137.27), (807.61, 143.64), (815.0, 150.16), (822.26, 156.83), (829.38, 163.65), (836.35, 170.63), (843.17, 177.74), (849.85, 185.0), (856.37, 192.4),
(862.73, 199.93), (868.93, 207.59), (874.98, 215.38), (880.86, 223.29), (886.57, 231.33), (892.11, 239.49), (897.48, 247.75), (902.67, 256.13), (907.69, 264.62), (912.53, 273.21), (917.19, 281.9), (921.67, 290.68), (925.96, 299.56), (930.06, 308.53),
(933.98, 317.57), (937.7, 326.7), (941.24, 335.91), (944.58, 345.18), (947.72, 354.53), (950.67, 363.94), (953.42, 373.41), (955.97, 382.93), (958.33, 392.5), (960.48, 402.13), (962.42, 411.79), (964.17, 421.5), (965.71, 431.23), (967.05, 441.0),
(968.18, 450.8), (969.11, 460.61), (969.83, 470.44), (970.35, 480.29), (970.66, 490.15), (970.76, 500.0), (970.66, 509.86), (970.35, 519.72), (969.83, 529.56), (969.11, 539.4), (968.18, 549.21), (967.05, 559.01), (965.71, 568.78), (964.17, 578.51),
(962.42, 588.22), (960.47, 597.88), (958.32, 607.5), (955.97, 617.08), (953.42, 626.6), (950.67, 636.07), (947.72, 645.48), (944.57, 654.82), (941.23, 664.1), (937.7, 673.31), (933.98, 682.43), (930.06, 691.48), (925.96, 700.45), (921.66, 709.32),
(917.19, 718.11), (912.53, 726.8), (907.69, 735.38), (902.67, 743.87), (897.48, 752.25), (892.11, 760.52), (886.57, 768.67), (880.85, 776.71), (874.98, 784.62), (868.93, 792.41), (862.73, 800.08), (856.36, 807.61), (849.84, 815.0), (843.17, 822.26),
(836.35, 829.38), (829.38, 836.35), (822.26, 843.17), (815.0, 849.84), (807.61, 856.36), (800.08, 862.73), (792.41, 868.93), (784.62, 874.98), (776.71, 880.85), (768.67, 886.57), (760.52, 892.11), (752.25, 897.48), (743.87, 902.67), (735.38, 907.69),
(726.79, 912.53), (718.1, 917.19), (709.32, 921.67), (700.44, 925.96), (691.48, 930.06), (682.43, 933.98), (673.3, 937.7), (664.09, 941.24), (654.82, 944.58), (645.47, 947.72), (636.07, 950.67), (626.6, 953.42), (617.07, 955.97), (607.5, 958.32),
(597.88, 960.47), (588.21, 962.42), (578.51, 964.17), (568.77, 965.71), (559.0, 967.05), (549.21, 968.18), (539.39, 969.11), (529.56, 969.83), (519.71, 970.35), (509.86, 970.66), (500.0, 970.76), (490.14, 970.66), (480.29, 970.35), (470.44, 969.83),
(460.61, 969.11), (450.79, 968.18), (441.0, 967.05), (431.23, 965.71), (421.49, 964.17), (411.79, 962.42), (402.12, 960.48), (392.5, 958.32), (382.93, 955.97), (373.4, 953.42), (363.94, 950.67), (354.53, 947.72), (345.18, 944.58), (335.91, 941.24),
(326.7, 937.7), (317.57, 933.98), (308.52, 930.06), (299.56, 925.96), (290.68, 921.67), (281.9, 917.19), (273.21, 912.53), (264.62, 907.69), (256.13, 902.67), (247.75, 897.48), (239.49, 892.11), (231.33, 886.57), (223.29, 880.86), (215.38, 874.98),
(207.59, 868.93), (199.93, 862.73), (192.4, 856.37), (185.0, 849.85), (177.74, 843.17), (170.63, 836.35), (163.65, 829.38), (156.83, 822.26), (150.16, 815.0), (143.64, 807.61), (137.27, 800.08), (131.07, 792.41), (125.02, 784.62), (119.15, 776.71),
(113.43, 768.67), (107.89, 760.52), (102.52, 752.25), (97.33, 743.87), (92.31, 735.38), (87.47, 726.79), (82.81, 718.1), (78.33, 709.32), (74.04, 700.44), (69.94, 691.48), (66.02, 682.43), (62.3, 673.3), (58.76, 664.1), (55.42, 654.82),
(52.28, 645.48), (49.33, 636.07), (46.58, 626.6), (44.03, 617.08), (41.68, 607.5), (39.53, 597.88), (37.58, 588.21), (35.83, 578.51), (34.29, 568.77), (32.95, 559.0), (31.82, 549.21), (30.89, 539.39), (30.17, 529.56), (29.65, 519.72),
(29.34, 509.86), (29.24, 500.0), (29.34, 490.14), (29.65, 480.29), (30.17, 470.44), (30.89, 460.61), (31.82, 450.79), (32.95, 441.0), (34.29, 431.23), (35.83, 421.49), (37.58, 411.79), (39.52, 402.13), (41.68, 392.5), (44.03, 382.93),
(46.58, 373.41), (49.33, 363.94), (52.28, 354.53), (55.42, 345.18), (58.76, 335.91), (62.3, 326.7), (66.02, 317.57), (69.94, 308.53), (74.04, 299.56), (78.33, 290.69), (82.81, 281.9), (87.47, 273.21), (92.31, 264.62), (97.33, 256.14),
(102.52, 247.76), (107.89, 239.49), (113.43, 231.33), (119.14, 223.3), (125.02, 215.38), (131.06, 207.59), (137.27, 199.93), (143.63, 192.4), (150.15, 185.0), (156.83, 177.74), (163.65, 170.63), (170.62, 163.66), (177.74, 156.83), (185.0, 150.16),
(192.39, 143.64), (199.92, 137.27), (207.58, 131.07), (215.37, 125.03), (223.29, 119.15), (231.33, 113.44), (239.48, 107.89), (247.75, 102.52), (256.13, 97.33), (264.62, 92.31), (273.21, 87.47), (281.89, 82.81), (290.68, 78.33), (299.56, 74.04),
(308.52, 69.94), (317.57, 66.02), (326.7, 62.3), (335.9, 58.76), (345.18, 55.42), (354.52, 52.28), (363.93, 49.33), (373.4, 46.58), (382.92, 44.03), (392.5, 41.68), (402.12, 39.53), (411.78, 37.58), (421.49, 35.83), (431.23, 34.29),
(440.99, 32.95), (450.79, 31.82), (460.6, 30.89), (470.44, 30.17), (480.28, 29.65), (490.14, 29.34)]
]