StudyDaddy Programming Let x, y, and z denote the three coordinate axes in the three dimensional space R3 . A point p ∈ R3 is specified by its coordinates along the three axes: p = (x(p), y(p), z(p)). For p, q ∈ R3 , we say

Let x, y, and z denote the three coordinate axes in the three dimensional space R3 . A point p ∈ R3 is specified by its coordinates along the three axes: p = (x(p), y(p), z(p)). For p, q ∈ R3 , we say

Output for 1-th Set of Points Input Size = 1000 MaxNum = 24 Maxima(S) (x, y, z) 290 0.728931, 0.999725, 0.255177 329 0.99839, 0.85283, 0.311062 427 0.751233, 0.996413, 0.414306 479 0.934561, 0.988086, 0.473382 521 0.884149, 0.986607, 0.518981 540 0.950742, 0.982251, 0.5415 564 0.981592, 0.967897, 0.566275 566 0.994886, 0.921071, 0.56777 572 0.814445, 0.976235, 0.573493 597 0.175742, 0.999364, 0.598802 611 0.75652, 0.991894, 0.616913 758 0.992856, 0.830125, 0.778833 837 0.99856, 0.248398, 0.848987 842 0.655093, 0.994792, 0.853789 843 0.665559, 0.974251, 0.854064 915 0.980527, 0.607505, 0.912656 919 0.519772, 0.969465, 0.913557 967 0.992748, 0.367094, 0.963656 982 0.973598, 0.961148, 0.977835 988 0.07425, 0.993645, 0.98812 991 0.009182, 0.951453, 0.990755 993 0.917694, 0.524647, 0.991565 996 0.917998, 0.480674, 0.992671 999 0.743953, 0.800639, 0.998089 -------------------------------------------- Output for 2-th Set of Points Input Size = 1000 MaxNum = 17 Maxima(S) (x, y, z) 67 0.997287, 0.879548, 0.071182 120 0.994013, 0.990514, 0.117629 500 0.998871, 0.128121, 0.489955 849 0.99869, 0.590218, 0.846934 949 0.946753, 0.99753, 0.950128 968 0.986476, 0.996591, 0.965587 975 0.99736, 0.823194, 0.9701 978 0.93518, 0.197861, 0.976772 982 0.336136, 0.997832, 0.978716 984 0.305328, 0.834953, 0.98502 985 0.105271, 0.734477, 0.986403 990 0.554094, 0.518758, 0.989463 995 0.904968, 0.009124, 0.994065 996 0.863896, 0.38405, 0.996474 997 0.753393, 0.447651, 0.998151 998 0.552037, 0.273646, 0.998696 999 0.443571, 0.658694, 0.998781 -------------------------------------------- Output for 3-th Set of Points Input Size = 1000 MaxNum = 32 Maxima(S) (x, y, z) 72 0.998978, 0.144318, 0.065274 128 0.908324, 0.997222, 0.121135 202 0.966509, 0.98007, 0.208201 317 0.966564, 0.976749, 0.309263 402 0.996768, 0.309561, 0.396952 709 0.995013, 0.90048, 0.70902 822 0.998644, 0.258367, 0.824408 845 0.986264, 0.938432, 0.846359 846 0.981455, 0.877719, 0.848241 854 0.947891, 0.869729, 0.855581 884 0.959175, 0.81227, 0.883314 924 0.950287, 0.766516, 0.915337 942 0.995764, 0.602893, 0.93472 958 0.925785, 0.99667, 0.949205 962 0.073474, 0.985016, 0.956972 963 0.727498, 0.889531, 0.958075 973 0.787421, 0.799553, 0.963823 979 0.346878, 0.852689, 0.976126 980 0.986153, 0.709707, 0.977138 982 0.951743, 0.716602, 0.979449 983 0.758599, 0.79126, 0.980278 986 0.113635, 0.836108, 0.984709 987 0.987067, 0.622923, 0.985802 989 0.75648, 0.438635, 0.986998 990 0.570102, 0.603416, 0.98864 991 0.984808, 0.297099, 0.990034 992 0.073531, 0.915172, 0.990604 994 0.387325, 0.566856, 0.991181 996 0.844503, 0.354754, 0.992883 997 0.689707, 0.364189, 0.994958 998 0.600562, 0.397166, 0.997175 999 0.599948, 0.231042, 0.999103 -------------------------------------------- Output for 4-th Set of Points Input Size = 1000 MaxNum = 36 Maxima(S) (x, y, z) 49 0.999531, 0.598013, 0.048485 78 0.466074, 0.997341, 0.074427 84 0.943516, 0.97098, 0.079047 101 0.981587, 0.896074, 0.100513 163 0.628897, 0.995655, 0.161072 394 0.912044, 0.981193, 0.396669 410 0.636153, 0.991147, 0.41258 415 0.916843, 0.965162, 0.419476 642 0.99801, 0.715246, 0.620613 647 0.970979, 0.957003, 0.622714 689 0.886351, 0.953956, 0.6753 709 0.895831, 0.938722, 0.697213 764 0.998675, 0.423982, 0.758037 788 0.950966, 0.906484, 0.781369 820 0.316954, 0.998137, 0.816808 859 0.981388, 0.876698, 0.8653 862 0.974232, 0.782558, 0.867079 865 0.991126, 0.706032, 0.871332 879 0.793108, 0.990908, 0.879573 898 0.984691, 0.595181, 0.896396 900 0.769133, 0.967407, 0.898243 914 0.976999, 0.045734, 0.91289 934 0.95421, 0.8975, 0.937039 944 0.793384, 0.961558, 0.940404 957 0.436101, 0.988951, 0.955533 962 0.957475, 0.823545, 0.961366 966 0.956585, 0.292835, 0.96505 968 0.393604, 0.814926, 0.965707 972 0.297074, 0.932767, 0.96944 978 0.964993, 0.038581, 0.972475 989 0.449121, 0.791789, 0.988159 992 0.899001, 0.479867, 0.990751 995 0.995493, 0.030982, 0.992206 997 0.771277, 0.724182, 0.995395 998 0.288038, 0.944421, 0.997432 999 0.299585, 0.685134, 0.999892 -------------------------------------------- Output for 5-th Set of Points Input Size = 1000 MaxNum = 32 Maxima(S) (x, y, z) 47 0.98402, 0.911252, 0.04261 50 0.936765, 0.980865, 0.04462 274 0.923895, 0.963529, 0.300456 302 0.811919, 0.991867, 0.335357 342 0.971288, 0.951826, 0.374713 349 0.812976, 0.969725, 0.380047 369 0.873574, 0.936778, 0.39274 484 0.999115, 0.696326, 0.506304 498 0.995305, 0.34472, 0.520123 576 0.7853, 0.99512, 0.591509 615 0.920577, 0.930868, 0.633067 616 0.729702, 0.962887, 0.633648 653 0.990992, 0.470126, 0.671035 687 0.908701, 0.928272, 0.699383 798 0.992732, 0.208342, 0.790442 810 0.823862, 0.962445, 0.801484 836 0.851607, 0.930602, 0.827912 843 0.980827, 0.910358, 0.836896 849 0.989825, 0.726233, 0.846818 912 0.747953, 0.961887, 0.896674 923 0.827751, 0.95485, 0.904835 928 0.892758, 0.898991, 0.909518 939 0.939195, 0.855141, 0.924428 944 0.793056, 0.80068, 0.927349 947 0.991409, 0.306654, 0.92816 950 0.711871, 0.900187, 0.929499 978 0.771313, 0.869574, 0.964349 990 0.583555, 0.999223, 0.980222 991 0.977601, 0.797271, 0.982135 993 0.441997, 0.528447, 0.98577 996 0.333469, 0.526252, 0.991307 999 0.915195, 0.520544, 0.997624 -------------------------------------------- Output for 6-th Set of Points Input Size = 1000 MaxNum = 32 Maxima(S) (x, y, z) 146 0.999278, 0.606873, 0.139434 263 0.993329, 0.985285, 0.256438 345 0.792117, 0.999299, 0.323945 366 0.2908, 0.995311, 0.34394 390 0.998163, 0.412605, 0.364017 398 0.858457, 0.98917, 0.373369 461 0.990858, 0.743875, 0.4326 636 0.99508, 0.425913, 0.621195 642 0.984821, 0.982705, 0.631571 655 0.854903, 0.976652, 0.639976 691 0.987376, 0.854144, 0.674693 713 0.104933, 0.99971, 0.701604 726 0.997585, 0.412828, 0.716099 794 0.987847, 0.497684, 0.799726 810 0.806451, 0.994473, 0.815569 910 0.986036, 0.955939, 0.911524 937 0.894226, 0.945092, 0.939585 945 0.925184, 0.935195, 0.9402 948 0.750041, 0.985715, 0.946298 949 0.933194, 0.592429, 0.947603 952 0.780218, 0.795738, 0.951045 954 0.856061, 0.547437, 0.952089 973 0.751959, 0.985373, 0.970088 974 0.323533, 0.754546, 0.970143 975 0.993404, 0.442322, 0.972121 976 0.887757, 0.43044, 0.974618 977 0.661581, 0.741956, 0.97728 982 0.105698, 0.784414, 0.980621 983 0.157856, 0.675477, 0.98082 984 0.048279, 0.729828, 0.981494 998 0.946738, 0.300659, 0.997934 999 0.836586, 0.64577, 0.999636 -------------------------------------------- Output for 7-th Set of Points Input Size = 1000 MaxNum = 27 Maxima(S) (x, y, z) 185 0.971371, 0.990214, 0.182003 340 0.999977, 0.885334, 0.337485 423 0.96381, 0.998351, 0.440216 693 0.903879, 0.999571, 0.701441 766 0.999443, 0.855367, 0.766361 780 0.995471, 0.541926, 0.781552 829 0.474576, 0.994539, 0.837409 845 0.990826, 0.986112, 0.851076 856 0.968542, 0.856058, 0.864673 863 0.955752, 0.926765, 0.869067 895 0.989554, 0.169284, 0.893296 898 0.093536, 0.997795, 0.895494 916 0.937734, 0.98849, 0.918809 930 0.945545, 0.805744, 0.933675 942 0.991377, 0.05099, 0.944704 949 0.370841, 0.992943, 0.952911 983 0.977213, 0.770248, 0.988292 988 0.906248, 0.992774, 0.992323 990 0.958096, 0.627266, 0.992485 991 0.990734, 0.027995, 0.99484 992 0.755793, 0.946701, 0.995384 994 0.618145, 0.828602, 0.996421 995 0.761865, 0.071828, 0.996927 996 0.21063, 0.734184, 0.996973 997 0.754297, 0.36181, 0.997152 998 0.531162, 0.026426, 0.997543 999 0.04424, 0.333519, 0.997678 -------------------------------------------- Output for 8-th Set of Points Input Size = 1000 MaxNum = 39 Maxima(S) (x, y, z) 50 0.991731, 0.820983, 0.041504 193 0.696117, 0.999821, 0.196143 369 0.993946, 0.720187, 0.372891 503 0.414386, 0.995345, 0.515186 568 0.26212, 0.998474, 0.574856 569 0.993175, 0.7098, 0.575229 655 0.185696, 0.998685, 0.664257 688 0.989909, 0.994944, 0.696738 692 0.999268, 0.43543, 0.709014 693 0.978012, 0.59965, 0.710106 768 0.975285, 0.916269, 0.788501 850 0.961881, 0.918335, 0.859933 871 0.783513, 0.990787, 0.893056 888 0.909676, 0.990489, 0.909269 918 0.946294, 0.911603, 0.936602 923 0.719172, 0.922934, 0.938055 935 0.964662, 0.746757, 0.946606 938 0.829668, 0.86767, 0.947755 955 0.411514, 0.996592, 0.962926 957 0.328284, 0.993211, 0.964847 962 0.930737, 0.463246, 0.970478 971 0.861908, 0.651325, 0.977924 973 0.395221, 0.977606, 0.97863 975 0.264872, 0.987657, 0.979943 976 0.679107, 0.742835, 0.98018 978 0.641857, 0.909829, 0.982895 980 0.786231, 0.666092, 0.988293 984 0.638147, 0.417212, 0.991262 985 0.806981, 0.280121, 0.991808 986 0.458743, 0.887866, 0.99261 988 0.530368, 0.174696, 0.995773 989 0.162188, 0.411598, 0.995935 991 0.261171, 0.312131, 0.99655 992 0.971335, 0.166963, 0.997067 993 0.934783, 0.092147, 0.997725 994 0.538025, 0.137346, 0.998028 997 0.160135, 0.829992, 0.99853 998 0.756629, 0.076057, 0.998851 999 0.048456, 0.129342, 0.999838 -------------------------------------------- Output for 9-th Set of Points Input Size = 1000 MaxNum = 35 Maxima(S) (x, y, z) 165 0.931444, 0.992879, 0.152388 233 0.882521, 0.991551, 0.212414 243 0.948861, 0.987664, 0.228615 281 0.925634, 0.976176, 0.267161 377 0.324636, 0.999956, 0.361376 398 0.954222, 0.944633, 0.379637 500 0.719832, 0.999765, 0.481214 528 0.655387, 0.973839, 0.50902 538 0.994694, 0.733605, 0.519108 606 0.895499, 0.966824, 0.581473 624 0.978379, 0.88766, 0.606643 675 0.999264, 0.05803, 0.65225 676 0.995659, 0.60186, 0.653486 701 0.176434, 0.9974, 0.686519 712 0.508342, 0.993698, 0.698294 735 0.970831, 0.92264, 0.726776 771 0.998183, 0.561133, 0.764828 797 0.941468, 0.870831, 0.795028 798 0.461691, 0.994544, 0.797861 816 0.993243, 0.6172, 0.816654 847 0.308646, 0.979761, 0.852498 874 0.059892, 0.991039, 0.882783 899 0.984381, 0.798605, 0.906685 902 0.863887, 0.973234, 0.907947 910 0.979524, 0.803389, 0.917269 932 0.978052, 0.276127, 0.940093 970 0.067313, 0.982385, 0.976146 979 0.936137, 0.95976, 0.984436 981 0.375805, 0.879716, 0.984543 985 0.689685, 0.867058, 0.986942 992 0.963266, 0.794206, 0.994756 993 0.88918, 0.852034, 0.995606 995 0.843601, 0.716996, 0.997446 998 0.321004, 0.607643, 0.999229 999 0.874207, 0.490375, 0.999979 -------------------------------------------- Output for 10-th Set of Points Input Size = 1000 MaxNum = 24 Maxima(S) (x, y, z) 42 0.414834, 0.999823, 0.046438 78 0.998874, 0.577472, 0.082579 88 0.996813, 0.76845, 0.091651 193 0.962111, 0.993445, 0.198377 261 0.221501, 0.999658, 0.260908 264 0.831546, 0.998859, 0.261236 305 0.995367, 0.461983, 0.317896 631 0.984763, 0.834318, 0.641066 676 0.958663, 0.982317, 0.686949 707 0.960255, 0.961703, 0.722343 708 0.994013, 0.551947, 0.722592 828 0.997763, 0.416646, 0.830506 884 0.985693, 0.173837, 0.882927 891 0.911899, 0.989426, 0.888566 900 0.922052, 0.949459, 0.895236 901 0.427871, 0.943326, 0.895883 968 0.983586, 0.927032, 0.975236 973 0.167995, 0.994142, 0.977565 976 0.274588, 0.954794, 0.978101 978 0.623694, 0.896652, 0.979788 992 0.932348, 0.811202, 0.989884 995 0.231649, 0.976224, 0.993221 998 0.95367, 0.728993, 0.998109 999 0.529257, 0.840482, 0.999116 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