Cody

Problem 44344. The 5th Root

Solution 1429265

Submitted on 30 Jan 2018 by Jinning Jiang
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Test Suite

Test Status Code Input and Output
1   Pass
filetext = fileread('fifth_root.m'); assert(isempty(strfind(filetext, '^')),'^ forbidden') assert(isempty(strfind(filetext, 'power')),'power() forbidden') assert(isempty(strfind(filetext, 'mpower')),'mpower() forbidden') assert(isempty(strfind(filetext, 'realpow')),'realpow() forbidden') assert(isempty(strfind(filetext, 'nthroot')),'nthroot() forbidden') assert(isempty(strfind(filetext, 'roots')),'roots() forbidden')

2   Pass
n = 1/9765625; assert(abs(fifth_root(n)-1/25)<1e-5)

x = 5 dx = 5 y = 3.1250e+03 m = 3125 x1 = 4.0000 dx = -1.0000 x = 4.0000 y = 1.0240e+03 m = 1.2800e+03 x1 = 3.2000 dx = -0.8000 x = 3.2000 y = 335.5443 m = 524.2880 x1 = 2.5600 dx = -0.6400 x = 2.5600 y = 109.9512 m = 214.7484 x1 = 2.0480 dx = -0.5120 x = 2.0480 y = 36.0288 m = 87.9609 x1 = 1.6384 dx = -0.4096 x = 1.6384 y = 11.8059 m = 36.0288 x1 = 1.3107 dx = -0.3277 x = 1.3107 y = 3.8686 m = 14.7574 x1 = 1.0486 dx = -0.2621 x = 1.0486 y = 1.2677 m = 6.0446 x1 = 0.8389 dx = -0.2097 x = 0.8389 y = 0.4154 m = 2.4759 x1 = 0.6711 dx = -0.1678 x = 0.6711 y = 0.1361 m = 1.0141 x1 = 0.5369 dx = -0.1342 x = 0.5369 y = 0.0446 m = 0.4154 x1 = 0.4295 dx = -0.1074 x = 0.4295 y = 0.0146 m = 0.1701 x1 = 0.3436 dx = -0.0859 x = 0.3436 y = 0.0048 m = 0.0697 x1 = 0.2749 dx = -0.0687 x = 0.2749 y = 0.0016 m = 0.0285 x1 = 0.2199 dx = -0.0550 x = 0.2199 y = 5.1418e-04 m = 0.0117 x1 = 0.1759 dx = -0.0440 x = 0.1759 y = 1.6846e-04 m = 0.0048 x1 = 0.1408 dx = -0.0352 x = 0.1408 y = 5.5174e-05 m = 0.0020 x1 = 0.1127 dx = -0.0281 x = 0.1127 y = 1.8053e-05 m = 8.0569e-04 x1 = 0.0903 dx = -0.0224 x = 0.0903 y = 5.8887e-06 m = 3.3187e-04 x1 = 0.0725 dx = -0.0177 x = 0.0725 y = 1.9031e-06 m = 1.3827e-04 x1 = 0.0588 dx = -0.0138 x = 0.0588 y = 5.9778e-07 m = 5.9585e-05 x1 = 0.0487 dx = -0.0100 x = 0.0487 y = 1.7216e-07 m = 2.8176e-05 x1 = 0.0426 dx = -0.0061 x = 0.0426 y = 3.8096e-08 m = 1.6485e-05 x1 = 0.0403 dx = -0.0023 x = 0.0403 y = 3.9138e-09 m = 1.3190e-05 x1 = 0.0400 dx = -2.9673e-04 x = 0.0400 y = 5.7211e-11 m = 1.2806e-05 x1 = 0.0400 dx = -4.4676e-06 x = 0.0400 f = 0.0400

3   Pass
n = 1/5555; assert(abs(fifth_root(n)-0.178263811215444)<1e-5)

x = 5 dx = 5 y = 3.1250e+03 m = 3125 x1 = 4.0000 dx = -1.0000 x = 4.0000 y = 1.0240e+03 m = 1.2800e+03 x1 = 3.2000 dx = -0.8000 x = 3.2000 y = 335.5442 m = 524.2881 x1 = 2.5600 dx = -0.6400 x = 2.5600 y = 109.9511 m = 214.7485 x1 = 2.0480 dx = -0.5120 x = 2.0480 y = 36.0287 m = 87.9611 x1 = 1.6384 dx = -0.4096 x = 1.6384 y = 11.8058 m = 36.0291 x1 = 1.3107 dx = -0.3277 x = 1.3107 y = 3.8685 m = 14.7577 x1 = 1.0486 dx = -0.2621 x = 1.0486 y = 1.2676 m = 6.0450 x1 = 0.8389 dx = -0.2097 x = 0.8389 y = 0.4153 m = 2.4764 x1 = 0.6712 dx = -0.1677 x = 0.6712 y = 0.1360 m = 1.0148 x1 = 0.5371 dx = -0.1341 x = 0.5371 y = 0.0445 m = 0.4162 x1 = 0.4301 dx = -0.1070 x = 0.4301 y = 0.0145 m = 0.1712 x1 = 0.3452 dx = -0.0850 x = 0.3452 y = 0.0047 m = 0.0710 x1 = 0.2787 dx = -0.0665 x = 0.2787 y = 0.0015 m = 0.0302 x1 = 0.2289 dx = -0.0498 x = 0.2289 y = 4.4843e-04 m = 0.0137 x1 = 0.1962 dx = -0.0327 x = 0.1962 y = 1.1099e-04 m = 0.0074 x1 = 0.1813 dx = -0.0150 x = 0.1813 y = 1.5690e-05 m = 0.0054 x1 = 0.1784 dx = -0.0029 x = 0.1784 y = 4.9515e-07 m = 0.0051 x1 = 0.1783 dx = -9.7850e-05 x = 0.1783 y = 5.4299e-10 m = 0.0050 x1 = 0.1783 dx = -1.0754e-07 x = 0.1783 f = 0.1783

4   Pass
n = 1/3125; assert(abs(fifth_root(n)-1/5)<1e-5)

x = 5 dx = 5 y = 3.1250e+03 m = 3125 x1 = 4.0000 dx = -1.0000 x = 4.0000 y = 1.0240e+03 m = 1.2800e+03 x1 = 3.2000 dx = -0.8000 x = 3.2000 y = 335.5442 m = 524.2882 x1 = 2.5600 dx = -0.6400 x = 2.5600 y = 109.9510 m = 214.7487 x1 = 2.0480 dx = -0.5120 x = 2.0480 y = 36.0287 m = 87.9613 x1 = 1.6384 dx = -0.4096 x = 1.6384 y = 11.8058 m = 36.0293 x1 = 1.3107 dx = -0.3277 x = 1.3107 y = 3.8684 m = 14.7580 x1 = 1.0486 dx = -0.2621 x = 1.0486 y = 1.2675 m = 6.0454 x1 = 0.8389 dx = -0.2097 x = 0.8389 y = 0.4153 m = 2.4768 x1 = 0.6713 dx = -0.1677 x = 0.6713 y = 0.1360 m = 1.0153 x1 = 0.5373 dx = -0.1339 x = 0.5373 y = 0.0445 m = 0.4168 x1 = 0.4306 dx = -0.1067 x = 0.4306 y = 0.0145 m = 0.1720 x1 = 0.3464 dx = -0.0843 x = 0.3464 y = 0.0047 m = 0.0720 x1 = 0.2815 dx = -0.0648 x = 0.2815 y = 0.0014 m = 0.0314 x1 = 0.2354 dx = -0.0461 x = 0.2354 y = 4.0315e-04 m = 0.0154 x1 = 0.2092 dx = -0.0262 x = 0.2092 y = 8.0424e-05 m = 0.0096 x1 = 0.2008 dx = -0.0084 x = 0.2008 y = 6.2068e-06 m = 0.0081 x1 = 0.2000 dx = -7.6401e-04 x = 0.2000 y = 4.7059e-08 m = 0.0080 x1 = 0.2000 dx = -5.8817e-06 x = 0.2000 f = 0.2000

5   Pass
n = 1/125; assert(abs(fifth_root(n)-0.380730787743176)<1e-5)

x = 5 dx = 5 y = 3.1250e+03 m = 3125 x1 = 4.0000 dx = -1.0000 x = 4.0000 y = 1.0240e+03 m = 1.2800e+03 x1 = 3.2000 dx = -0.8000 x = 3.2000 y = 335.5407 m = 524.2934 x1 = 2.5600 dx = -0.6400 x = 2.5600 y = 109.9479 m = 214.7557 x1 = 2.0481 dx = -0.5120 x = 2.0481 y = 36.0256 m = 87.9703 x1 = 1.6385 dx = -0.4095 x = 1.6385 y = 11.8028 m = 36.0407 x1 = 1.3110 dx = -0.3275 x = 1.3110 y = 3.8654 m = 14.7723 x1 = 1.0494 dx = -0.2617 x = 1.0494 y = 1.2645 m = 6.0632 x1 = 0.8408 dx = -0.2086 x = 0.8408 y = 0.4123 m = 2.4991 x1 = 0.6759 dx = -0.1650 x = 0.6759 y = 0.1330 m = 1.0433 x1 = 0.5484 dx = -0.1275 x = 0.5484 y = 0.0416 m = 0.4521 x1 = 0.4564 dx = -0.0920 x = 0.4564 y = 0.0118 m = 0.2169 x1 = 0.4020 dx = -0.0544 x = 0.4020 y = 0.0025 m = 0.1306 x1 = 0.3829 dx = -0.0191 x = 0.3829 y = 2.2652e-04 m = 0.1074 x1 = 0.3808 dx = -0.0021 x = 0.3808 y = 2.4813e-06 m = 0.1051 x1 = 0.3807 dx = -2.3612e-05 x = 0.3807 y = 3.0773e-10 m = 0.1051 x1 = 0.3807 dx = -2.9290e-09 x = 0.3807 f = 0.3807

6   Pass
n = 1/5; assert(abs(fifth_root(n)-0.724779663677696)<1e-5)

x = 5 dx = 5 y = 3.1248e+03 m = 3125 x1 = 4.0001 dx = -0.9999 x = 4.0001 y = 1.0239e+03 m = 1.2801e+03 x1 = 3.2002 dx = -0.7999 x = 3.2002 y = 335.4531 m = 524.4240 x1 = 2.5605 dx = -0.6397 x = 2.5605 y = 109.8687 m = 214.9321 x1 = 2.0494 dx = -0.5112 x = 2.0494 y = 35.9493 m = 88.1963 x1 = 1.6418 dx = -0.4076 x = 1.6418 y = 11.7276 m = 36.3255 x1 = 1.3189 dx = -0.3228 x = 1.3189 y = 3.7910 m = 15.1300 x1 = 1.0684 dx = -0.2506 x = 1.0684 y = 1.1918 m = 6.5137 x1 = 0.8854 dx = -0.1830 x = 0.8854 y = 0.3441 m = 3.0726 x1 = 0.7734 dx = -0.1120 x = 0.7734 y = 0.0767 m = 1.7889 x1 = 0.7305 dx = -0.0429 x = 0.7305 y = 0.0080 m = 1.4240 x1 = 0.7249 dx = -0.0057 x = 0.7249 y = 1.2355e-04 m = 1.3804 x1 = 0.7248 dx = -8.9504e-05 x = 0.7248 y = 3.0508e-08 m = 1.3797 x1 = 0.7248 dx = -2.2111e-08 x = 0.7248 f = 0.7248

7   Pass
n = 1; assert(abs(fifth_root(n)-1)<1e-5)

x = 5 dx = 5 y = 3124 m = 3125 x1 = 4.0003 dx = -0.9997 x = 4.0003 y = 1.0234e+03 m = 1.2804e+03 x1 = 3.2010 dx = -0.7993 x = 3.2010 y = 335.0884 m = 524.9679 x1 = 2.5627 dx = -0.6383 x = 2.5627 y = 109.5396 m = 215.6674 x1 = 2.0548 dx = -0.5079 x = 2.0548 y = 35.6331 m = 89.1392 x1 = 1.6551 dx = -0.3997 x = 1.6551 y = 11.4192 m = 37.5184 x1 = 1.3507 dx = -0.3044 x = 1.3507 y = 3.4959 m = 16.6428 x1 = 1.1407 dx = -0.2101 x = 1.1407 y = 0.9310 m = 8.4643 x1 = 1.0307 dx = -0.1100 x = 1.0307 y = 0.1630 m = 5.6422 x1 = 1.0018 dx = -0.0289 x = 1.0018 y = 0.0089 m = 5.0355 x1 = 1.0000 dx = -0.0018 x = 1.0000 y = 3.1281e-05 m = 5.0001 x1 = 1.0000 dx = -6.2561e-06 x = 1.0000 f = 1.0000

8   Pass
n = 5; assert(abs(fifth_root(n)-1.37972966146121)<1e-5)

x = 5 dx = 5 y = 3120 m = 3125 x1 = 4.0016 dx = -0.9984 x = 4.0016 y = 1.0210e+03 m = 1.2820e+03 x1 = 3.2052 dx = -0.7964 x = 3.2052 y = 333.2689 m = 527.6910 x1 = 2.5736 dx = -0.6316 x = 2.5736 y = 107.9072 m = 219.3548 x1 = 2.0817 dx = -0.4919 x = 2.0817 y = 34.0913 m = 93.8931 x1 = 1.7186 dx = -0.3631 x = 1.7186 y = 9.9927 m = 43.6187 x1 = 1.4895 dx = -0.2291 x = 1.4895 y = 2.3320 m = 24.6120 x1 = 1.3948 dx = -0.0947 x = 1.3948 y = 0.2784 m = 18.9222 x1 = 1.3801 dx = -0.0147 x = 1.3801 y = 0.0058 m = 18.1363 x1 = 1.3797 dx = -3.2045e-04 x = 1.3797 y = 2.6984e-06 m = 18.1195 x1 = 1.3797 dx = -1.4892e-07 x = 1.3797 f = 1.3797

9   Pass
n = 25; assert(abs(fifth_root(n)-1.90365393871588)<1e-5)

x = 5 dx = 5 y = 3100 m = 3125 x1 = 4.0080 dx = -0.9920 x = 4.0080 y = 1.0093e+03 m = 1.2903e+03 x1 = 3.2258 dx = -0.7822 x = 3.2258 y = 324.2777 m = 541.3856 x1 = 2.6268 dx = -0.5990 x = 2.6268 y = 100.0644 m = 238.0548 x1 = 2.2065 dx = -0.4203 x = 2.2065 y = 27.2970 m = 118.5091 x1 = 1.9761 dx = -0.2303 x = 1.9761 y = 5.1346 m = 76.2470 x1 = 1.9088 dx = -0.0673 x = 1.9088 y = 0.3382 m = 66.3729 x1 = 1.9037 dx = -0.0051 x = 1.9037 y = 0.0018 m = 65.6670 x1 = 1.9037 dx = -2.7429e-05 x = 1.9037 y = 5.1904e-08 m = 65.6632 x1 = 1.9037 dx = -7.9045e-10 x = 1.9037 f = 1.9037

10   Pass
n = 50; assert(abs(fifth_root(n)-2.18672414788656)<1e-5)

x = 5 dx = 5 y = 3075 m = 3125 x1 = 4.0160 dx = -0.9840 x = 4.0160 y = 994.6445 m = 1.3006e+03 x1 = 3.2512 dx = -0.7648 x = 3.2512 y = 313.2851 m = 558.6864 x1 = 2.6905 dx = -0.5608 x = 2.6905 y = 90.9800 m = 261.9968 x1 = 2.3432 dx = -0.3473 x = 2.3432 y = 20.6446 m = 150.7416 x1 = 2.2063 dx = -0.1370 x = 2.2063 y = 2.2762 m = 118.4714 x1 = 2.1871 dx = -0.0192 x = 2.1871 y = 0.0393 m = 114.3981 x1 = 2.1867 dx = -3.4355e-04 x = 2.1867 y = 1.2345e-05 m = 114.3263 x1 = 2.1867 dx = -1.0798e-07 x = 2.1867 f = 2.1867

11   Pass
n = 500; assert(abs(fifth_root(n)-3.46572421577573)<1e-5)

x = 5 dx = 5 y = 2625 m = 3125 x1 = 4.1600 dx = -0.8400 x = 4.1600 y = 745.8526 m = 1.4974e+03 x1 = 3.6619 dx = -0.4981 x = 3.6619 y = 158.4716 m = 899.0828 x1 = 3.4856 dx = -0.1763 x = 3.4856 y = 14.5387 m = 738.0817 x1 = 3.4660 dx = -0.0197 x = 3.4660 y = 0.1634 m = 721.5385 x1 = 3.4657 dx = -2.2645e-04 x = 3.4657 y = 2.1350e-05 m = 721.3500 x1 = 3.4657 dx = -2.9597e-08 x = 3.4657 f = 3.4657

12   Pass
n = 3125; assert(abs(fifth_root(n)-5)<1e-5)

x = 5 dx = 5 y = 0 m = 3125 x1 = 5 dx = 0 x = 5 f = 5

13   Pass
n = 759375; assert(abs(fifth_root(n)-15)<1e-5)

x = 5 dx = 5 y = -756250 m = 3125 x1 = 247 dx = 242 x = 247 y = 9.1936e+11 m = 1.8610e+10 x1 = 197.6000 dx = -49.4000 x = 197.6000 y = 3.0125e+11 m = 7.6229e+09 x1 = 158.0801 dx = -39.5199 x = 158.0801 y = 9.8715e+10 m = 3.1223e+09 x1 = 126.4643 dx = -31.6158 x = 126.4643 y = 3.2347e+10 m = 1.2789e+09 x1 = 101.1721 dx = -25.2923 x = 101.1721 y = 1.0599e+10 m = 5.2386e+08 x1 = 80.9391 dx = -20.2330 x = 80.9391 y = 3.4729e+09 m = 2.1459e+08 x1 = 64.7548 dx = -16.1843 x = 64.7548 y = 1.1378e+09 m = 8.7914e+07 x1 = 51.8125 dx = -12.9423 x = 51.8125 y = 3.7264e+08 m = 3.6034e+07 x1 = 41.4711 dx = -10.3414 x = 41.4711 y = 1.2191e+08 m = 1.4789e+07 x1 = 33.2282 dx = -8.2429 x = 33.2282 y = 3.9748e+07 m = 6.0953e+06 x1 = 26.7071 dx = -6.5211 x = 26.7071 y = 1.2828e+07 m = 2.5438e+06 x1 = 21.6642 dx = -5.0429 x = 21.6642 y = 4.0128e+06 m = 1.1014e+06 x1 = 18.0209 dx = -3.6434 x = 18.0209 y = 1.1412e+06 m = 5.2732e+05 x1 = 15.8568 dx = -2.1641 x = 15.8568 y = 2.4310e+05 m = 3.1610e+05 x1 = 15.0877 dx = -0.7690 x = 15.0877 y = 2.2464e+04 m = 2.5910e+05 x1 = 15.0010 dx = -0.0867 x = 15.0010 y = 256.6958 m = 2.5319e+05 x1 = 15.0000 dx = -0.0010 x = 15.0000 y = 0.0347 m = 2.5313e+05 x1 = 15.0000 dx = -1.3707e-07 x = 15.0000 f = 15.0000

14   Pass
n = 9765625; assert(abs(fifth_root(n)-25)<1e-5)

x = 5 dx = 5 y = -9762500 m = 3125 x1 = 3129 dx = 3124 x = 3129 y = 2.9994e+17 m = 4.7928e+14 x1 = 2.5032e+03 dx = -625.8000 x = 2.5032e+03 y = 9.8283e+16 m = 1.9631e+14 x1 = 2.0026e+03 dx = -500.6400 x = 2.0026e+03 y = 3.2205e+16 m = 8.0410e+13 x1 = 1.6020e+03 dx = -400.5120 x = 1.6020e+03 y = 1.0553e+16 m = 3.2936e+13 x1 = 1.2816e+03 dx = -320.4096 x = 1.2816e+03 y = 3.4580e+15 m = 1.3491e+13 x1 = 1.0253e+03 dx = -256.3277 x = 1.0253e+03 y = 1.1331e+15 m = 5.5258e+12 x1 = 820.2486 dx = -205.0621 x = 820.2486 y = 3.7130e+14 m = 2.2634e+12 x1 = 656.1989 dx = -164.0497 x = 656.1989 y = 1.2167e+14 m = 9.2707e+11 x1 = 524.9591 dx = -131.2398 x = 524.9591 y = 3.9868e+13 m = 3.7973e+11 x1 = 419.9673 dx = -104.9918 x = 419.9673 y = 1.3064e+13 m = 1.5554e+11 x1 = 335.9739 dx = -83.9934 x = 335.9739 y = 4.2808e+12 m = 6.3708e+10 x1 = 268.7793 dx = -67.1946 x = 268.7793 y = 1.4027e+12 m = 2.6095e+10 x1 = 215.0238 dx = -53.7555 x = 215.0238 y = 4.5965e+11 m = 1.0688e+10 x1 = 172.0200 dx = -43.0038 x = 172.0200 y = 1.5061e+11 m = 4.3781e+09 x1 = 137.6182 dx = -34.4018 x = 137.6182 y = 4.9351e+10 m = 1.7934e+09 x1 = 110.1000 dx = -27.5182 x = 110.1000 y = 1.6169e+10 m = 7.3472e+08 x1 = 88.0933 dx = -22.0067 x = 88.0933 y = 5.2956e+09 m = 3.0112e+08 x1 = 70.5071 dx = -17.5862 x = 70.5071 y = 1.7327e+09 m = 1.2357e+08 x1 = 56.4847 dx = -14.0224 x = 56.4847 y = 5.6522e+08 m = 5.0897e+07 x1 = 45.3796 dx = -11.1051 x = 45.3796 y = 1.8268e+08 m = 2.1204e+07 x1 = 36.7643 dx = -8.6154 x = 36.7643 y = 5.7397e+07 m = 9.1343e+06 x1 = 30.4805 dx = -6.2837 x = 30.4805 y = 1.6544e+07 m = 4.3158e+06 x1 = 26.6472 dx = -3.8333 x = 26.6472 y = 3.6700e+06 m = 2.5210e+06 x1 = 25.1914 dx = -1.4558 x = 25.1914 y = 3.7967e+05 m = 2.0136e+06 x1 = 25.0029 dx = -0.1885 x = 25.0029 y = 5.6411e+03 m = 1.9540e+06 x1 = 25.0000 dx = -0.0029 x = 25.0000 y = 1.3025 m = 1.9531e+06 x1 = 25.0000 dx = -6.6688e-07 x = 25.0000 f = 25.0000

15   Pass
n = 312500000; assert(abs(fifth_root(n)-50)<1e-5)

x = 5 dx = 5 y = -312496875 m = 3125 x1 = 100004 dx = 99999 x = 100004 y = 1.0002e+25 m = 5.0008e+20 x1 = 8.0003e+04 dx = -2.0001e+04 x = 8.0003e+04 y = 3.2775e+24 m = 2.0483e+20 x1 = 6.4003e+04 dx = -1.6001e+04 x = 6.4003e+04 y = 1.0740e+24 m = 8.3900e+19 x1 = 5.1202e+04 dx = -1.2801e+04 x = 5.1202e+04 y = 3.5191e+23 m = 3.4365e+19 x1 = 4.0962e+04 dx = -1.0240e+04 x = 4.0962e+04 y = 1.1532e+23 m = 1.4076e+19 x1 = 3.2769e+04 dx = -8.1923e+03 x = 3.2769e+04 y = 3.7786e+22 m = 5.7655e+18 x1 = 2.6215e+04 dx = -6.5539e+03 x = 2.6215e+04 y = 1.2382e+22 m = 2.3616e+18 x1 = 2.0972e+04 dx = -5.2431e+03 x = 2.0972e+04 y = 4.0573e+21 m = 9.6730e+17 x1 = 1.6778e+04 dx = -4.1945e+03 x = 1.6778e+04 y = 1.3295e+21 m = 3.9620e+17 x1 = 1.3422e+04 dx = -3.3556e+03 x = 1.3422e+04 y = 4.3565e+20 m = 1.6229e+17 x1 = 1.0738e+04 dx = -2.6845e+03 x = 1.0738e+04 y = 1.4275e+20 m = 6.6472e+16 x1 = 8.5903e+03 dx = -2.1476e+03 x = 8.5903e+03 y = 4.6777e+19 m = 2.7227e+16 x1 = 6.8722e+03 dx = -1.7181e+03 x = 6.8722e+03 y = 1.5328e+19 m = 1.1152e+16 x1 = 5.4978e+03 dx = -1.3744e+03 x = 5.4978e+03 y = 5.0227e+18 m = 4.5679e+15 x1 = 4.3982e+03 dx = -1.0996e+03 x = 4.3982e+03 y = 1.6458e+18 m = 1.8710e+15 x1 = 3.5186e+03 dx = -879.6445 x = 3.5186e+03 y = 5.3931e+17 m = 7.6637e+14 x1 = 2.8149e+03 dx = -703.7156 x = 2.8149e+03 y = 1.7672e+17 m = 3.1391e+14 x1 = 2.2519e+03 dx = -562.9725 x = 2.2519e+03 y = 5.7908e+16 m = 1.2858e+14 x1 = 1.8015e+03 dx = -450.3780 x = 1.8015e+03 y = 1.8975e+16 m = 5.2665e+13 x1 = 1.4412e+03 dx = -360.3024 x = 1.4412e+03 y = 6.2178e+15 m = 2.1571e+13 x1 = 1.1530e+03 dx = -288.2419 x = 1.1530e+03 y = 2.0374e+15 m = 8.8356e+12 x1 = 922.3741 dx = -230.5935 x = 922.3741 y = 6.6763e+14 m = 3.6191e+12 x1 = 737.8994 dx = -184.4747 x = 737.8994 y = 2.1877e+14 m = 1.4824e+12 x1 = 590.3197 dx = -147.5797 x = 590.3197 y = 7.1686e+13 m = 6.0718e+11 x1 = 472.2563 dx = -118.0634 x = 472.2563 y = 2.3490e+13 m = 2.4870e+11 x1 = 377.8063 dx = -94.4500 x = 377.8063 y = 7.6971e+12 m = 1.0187e+11 x1 = 302.2481 dx = -75.5582 x = 302.2481 y = 2.5221e+12 m = 4.1728e+10 x1 = 241.8060 dx = -60.4421 x = 241.8060 y = 8.2636e+11 m = 1.7094e+10 x1 = 193.4631 dx = -48.3429 x = 193.4631 y = 2.7070e+11 m = 7.0043e+09 x1 = 154.8151 dx = -38.6480 x = 154.8151 y = 8.8621e+10 m = 2.8723e+09 x1 = 123.9609 dx = -30.8542 x = 123.9609 y = 2.8958e+10 m = 1.1806e+09 x1 = 99.4334 dx = -24.5275 x = 99.4334 y = 9.4074e+09 m = 4.8876e+08 x1 = 80.1861 dx = -19.2473 x = 80.1861 y = 3.0026e+09 m = 2.0671e+08 x1 = 65.6606 dx = -14.5254 x = 65.6606 y = 9.0796e+08 m = 9.2937e+07 x1 = 55.8910 dx = -9.7696 x = 55.8910 y = 2.3289e+08 m = 4.8791e+07 x1 = 51.1177 dx = -4.7733 x = 51.1177 y = 3.6525e+07 m = 3.4139e+07 x1 = 50.0478 dx = -1.0699 x = 50.0478 y = 1.4972e+06 m = 3.1370e+07 x1 = 50.0001 dx = -0.0477 x = 50.0001 y = 2.8530e+03 m = 3.1250e+07 x1 = 50.0000 dx = -9.1295e-05 x = 50.0000 y = 0.0104 m = 3.1250e+07 x1 = 50 dx = -3.3339e-10 x = 50 f = 50

16   Pass
n = 75937500000; assert(abs(fifth_root(n)-150)<1e-5)

x = 5 dx = 5 y = -7.5937e+10 m = 3125 x1 = 24300004 dx = 24299999 x = 24300004 y = 8.4729e+36 m = 1.7434e+30 x1 = 1.9440e+07 dx = -4.8600e+06 x = 1.9440e+07 y = 2.7764e+36 m = 7.1409e+29 x1 = 1.5552e+07 dx = -3.8880e+06 x = 1.5552e+07 y = 9.0977e+35 m = 2.9249e+29 x1 = 1.2442e+07 dx = -3.1104e+06 x = 1.2442e+07 y = 2.9811e+35 m = 1.1981e+29 x1 = 9.9533e+06 dx = -2.4883e+06 x = 9.9533e+06 y = 9.7686e+34 m = 4.9072e+28 x1 = 7.9626e+06 dx = -1.9907e+06 x = 7.9626e+06 y = 3.2010e+34 m = 2.0100e+28 x1 = 6.3701e+06 dx = -1.5925e+06 x = 6.3701e+06 y = 1.0489e+34 m = 8.2329e+27 x1 = 5.0961e+06 dx = -1.2740e+06 x = 5.0961e+06 y = 3.4370e+33 m = 3.3722e+27 x1 = 4.0769e+06 dx = -1.0192e+06 x = 4.0769e+06 y = 1.1262e+33 m = 1.3813e+27 x1 = 3.2615e+06 dx = -8.1537e+05 x = 3.2615e+06 y = 3.6905e+32 m = 5.6576e+26 x1 = 2.6092e+06 dx = -6.5230e+05 x = 2.6092e+06 y = 1.2093e+32 m = 2.3174e+26 x1 = 2.0874e+06 dx = -5.2184e+05 x = 2.0874e+06 y = 3.9626e+31 m = 9.4919e+25 x1 = 1.6699e+06 dx = -4.1747e+05 x = 1.6699e+06 y = 1.2985e+31 m = 3.8879e+25 x1 = 1.3359e+06 dx = -3.3398e+05 x = 1.3359e+06 y = 4.2548e+30 m = 1.5925e+25 x1 = 1.0687e+06 dx = -2.6718e+05 x = 1.0687e+06 y = 1.3942e+30 m = 6.5228e+24 x1 = 8.5498e+05 dx = -2.1375e+05 x = 8.5498e+05 y = 4.5686e+29 m = 2.6717e+24 x1 = 6.8398e+05 dx = -1.7100e+05 x = 6.8398e+05 y = 1.4970e+29 m = 1.0943e+24 x1 = 5.4719e+05 dx = -1.3680e+05 x = 5.4719e+05 y = 4.9055e+28 m = 4.4824e+23 x1 = 4.3775e+05 dx = -1.0944e+05 x = 4.3775e+05 y = 1.6074e+28 m = 1.8360e+23 x1 = 3.5020e+05 dx = -8.7550e+04 x = 3.5020e+05 y = 5.2672e+27 m = 7.5203e+22 x1 = 2.8016e+05 dx = -7.0040e+04 x = 2.8016e+05 y = 1.7260e+27 m = 3.0803e+22 x1 = 2.2413e+05 dx = -5.6032e+04 x = 2.2413e+05 y = 5.6556e+26 m = 1.2617e+22 x1 = 1.7930e+05 dx = -4.4826e+04 x = 1.7930e+05 y = 1.8532e+26 m = 5.1679e+21 x1 = 1.4344e+05 dx = -3.5860e+04 x = 1.4344e+05 y = 6.0727e+25 m = 2.1168e+21 x1 = 1.1475e+05 dx = -2.8688e+04 x = 1.1475e+05 y = 1.9899e+25 m = 8.6703e+20 x1 = 9.1803e+04 dx = -2.2951e+04 x = 9.1803e+04 y = 6.5205e+24 m = 3.5514e+20 x1 = 7.3442e+04 dx = -1.8361e+04 x = 7.3442e+04 y = 2.1366e+24 m = 1.4546e+20 x1 = 5.8754e+04 dx = -1.4688e+04 x = 5.8754e+04 y = 7.0013e+23 m = 5.9582e+19 x1 = 4.7003e+04 dx = -1.1751e+04 x = 4.7003e+04 y = 2.2942e+23 m = 2.4405e+19 x1 = 3.7602e+04 dx = -9.4006e+03 x = 3.7602e+04 y = 7.5176e+22 m = 9.9962e+18 x1 = 3.0082e+04 dx = -7.5205e+03 x = 3.0082e+04 y = 2.4634e+22 m = 4.0944e+18 x1 = 2.4066e+04 dx = -6.0164e+03 x = 2.4066e+04 y = 8.0720e+21 m = 1.6771e+18 x1 = 1.9252e+04 dx = -4.8131e+03 x = 1.9252e+04 y = 2.6450e+21 m = 6.8693e+17 x1 = 1.5402e+04 dx = -3.8505e+03 x = 1.5402e+04 y = 8.6672e+20 m = 2.8137e+17 x1 = 1.2322e+04 dx = -3.0804e+03 x = 1.2322e+04 y = 2.8401e+20 m = 1.1525e+17 x1 = 9.8573e+03 dx = -2.4643e+03 x = 9.8573e+03 y = 9.3064e+19 m = 4.7206e+16 x1 = 7.8858e+03 dx = -1.9715e+03 x = 7.8858e+03 y = 3.0495e+19 m = 1.9335e+16 x1 = 6.3086e+03 dx = -1.5772e+03 x = 6.3086e+03 y = 9.9926e+18 m = 7.9198e+15 x1 = 5.0469e+03 dx = -1.2617e+03 x = 5.0469e+03 y = 3.2744e+18 m = 3.2439e+15 x1 = 4.0375e+03 dx = -1.0094e+03 x = 4.0375e+03 y = 1.0729e+18 m = 1.3287e+15 x1 = 3.2300e+03 dx = -807.5061 x = 3.2300e+03 y = 3.5158e+17 m = 5.4424e+14 x1 = 2.5840e+03 dx = -646.0048 x = 2.5840e+03 y = 1.1521e+17 m = 2.2292e+14 x1 = 2.0672e+03 dx = -516.8036 x = 2.0672e+03 y = 3.7751e+16 m = 9.1309e+13 x1 = 1.6538e+03 dx = -413.4424 x = 1.6538e+03 y = 1.2370e+16 m = 3.7400e+13 x1 = 1.3230e+03 dx = -330.7527 x = 1.3230e+03 y = 4.0535e+15 m = 1.5319e+13 x1 = 1.0584e+03 dx = -264.5993 x = 1.0584e+03 y = 1.3282e+15 m = 6.2749e+12 x1 = 846.7496 dx = -211.6723 x = 846.7496 y = 4.3521e+14 m = 2.5703e+12 x1 = 677.4292 dx = -169.3204 x = 677.4292 y = 1.4259e+14 m = 1.0530e+12 x1 = 542.0155 dx = -135.4137 x = 542.0155 y = 4.6704e+13 m = 4.3154e+11 x1 = 433.7883 dx = -108.2271 x = 433.7883 y = 1.5284e+13 m = 1.7704e+11 x1 = 347.4596 dx = -86.3288 x = 347.4596 y = 4.9884e+12 m = 7.2876e+10 x1 = 279.0097 dx = -68.4499 x = 279.0097 y = 1.6149e+12 m = 3.0300e+10 x1 = 225.7139 dx = -53.2958 x = 225.7139 y = 5.0992e+11 m = 1.2978e+10 x1 = 186.4224 dx = -39.2915 x = 186.4224 y = 1.4922e+11 m = 6.0390e+09 x1 = 161.7125 dx = -24.7099 x = 161.7125 y = 3.4653e+10 m = 3.4194e+09 x1 = 151.5781 dx = -10.1344 x = 151.5781 y = 4.0796e+09 m = 2.6395e+09 x1 = 150.0325 dx = -1.5456 x = 150.0325 y = 8.2354e+07 m = 2.5334e+09 x1 = 150.0000 dx = -0.0325 x = 150.0000 y = 3.5678e+04 m = 2.5313e+09 x1 = 150.0000 dx = -1.4095e-05 x = 150.0000 y = 0.0067 m = 2.5313e+09 x1 = 150 dx = -2.6432e-12 x = 150 f = 150

17   Pass
n = 31250000000000; assert(abs(fifth_root(n)-500)<1e-5)

x = 5 dx = 5 y = -3.1250e+13 m = 3125 x1 = 1.0000e+10 dx = 1.0000e+10 x = 1.0000e+10 y = 1.0000e+50 m = 5.0000e+40 x1 = 8.0000e+09 dx = -2.0000e+09 x = 8.0000e+09 y = 3.2768e+49 m = 2.0480e+40 x1 = 6.4000e+09 dx = -1.6000e+09 x = 6.4000e+09 y = 1.0737e+49 m = 8.3886e+39 x1 = 5.1200e+09 dx = -1.2800e+09 x = 5.1200e+09 y = 3.5184e+48 m = 3.4360e+39 x1 = 4.0960e+09 dx = -1.0240e+09 x = 4.0960e+09 y = 1.1529e+48 m = 1.4074e+39 x1 = 3.2768e+09 dx = -8.1920e+08 x = 3.2768e+09 y = 3.7779e+47 m = 5.7646e+38 x1 = 2.6214e+09 dx = -6.5536e+08 x = 2.6214e+09 y = 1.2379e+47 m = 2.3612e+38 x1 = 2.0972e+09 dx = -5.2429e+08 x = 2.0972e+09 y = 4.0565e+46 m = 9.6714e+37 x1 = 1.6777e+09 dx = -4.1943e+08 x = 1.6777e+09 y = 1.3292e+46 m = 3.9614e+37 x1 = 1.3422e+09 dx = -3.3554e+08 x = 1.3422e+09 y = 4.3556e+45 m = 1.6226e+37 x1 = 1.0737e+09 dx = -2.6844e+08 x = 1.0737e+09 y = 1.4272e+45 m = 6.6461e+36 x1 = 8.5899e+08 dx = -2.1475e+08 x = 8.5899e+08 y = 4.6768e+44 m = 2.7223e+36 x1 = 6.8719e+08 dx = -1.7180e+08 x = 6.8719e+08 y = 1.5325e+44 m = 1.1150e+36 x1 = 5.4976e+08 dx = -1.3744e+08 x = 5.4976e+08 y = 5.0217e+43 m = 4.5672e+35 x1 = 4.3980e+08 dx = -1.0995e+08 x = 4.3980e+08 y = 1.6455e+43 m = 1.8707e+35 x1 = 3.5184e+08 dx = -8.7961e+07 x = 3.5184e+08 y = 5.3920e+42 m = 7.6625e+34 x1 = 2.8147e+08 dx = -7.0369e+07 x = 2.8147e+08 y = 1.7668e+42 m = 3.1386e+34 x1 = 2.2518e+08 dx = -5.6295e+07 x = 2.2518e+08 y = 5.7896e+41 m = 1.2856e+34 x1 = 1.8014e+08 dx = -4.5036e+07 x = 1.8014e+08 y = 1.8971e+41 m = 5.2656e+33 x1 = 1.4412e+08 dx = -3.6029e+07 x = 1.4412e+08 y = 6.2165e+40 m = 2.1568e+33 x1 = 1.1529e+08 dx = -2.8823e+07 x = 1.1529e+08 y = 2.0370e+40 m = 8.8342e+32 x1 = 9.2234e+07 dx = -2.3058e+07 x = 9.2234e+07 y = 6.6750e+39 m = 3.6185e+32 x1 = 7.3787e+07 dx = -1.8447e+07 x = 7.3787e+07 y = 2.1873e+39 m = 1.4821e+32 x1 = 5.9030e+07 dx = -1.4757e+07 x = 5.9030e+07 y = 7.1672e+38 m = 6.0708e+31 x1 = 4.7224e+07 dx = -1.1806e+07 x = 4.7224e+07 y = 2.3485e+38 m = 2.4866e+31 x1 = 3.7779e+07 dx = -9.4447e+06 x = 3.7779e+07 y = 7.6957e+37 m = 1.0185e+31 x1 = 3.0223e+07 dx = -7.5558e+06 x = 3.0223e+07 y = 2.5217e+37 m = 4.1718e+30 x1 = 2.4179e+07 dx = -6.0446e+06 x = 2.4179e+07 y = 8.2632e+36 m = 1.7088e+30 x1 = 1.9343e+07 dx = -4.8357e+06 x = 1.9343e+07 y = 2.7077e+36 m = 6.9992e+29 x1 = 1.5474e+07 dx = -3.8686e+06 x = 1.5474e+07 y = 8.8725e+35 m = 2.8669e+29 x1 = 1.2379e+07 dx = -3.0949e+06 x = 1.2379e+07 y = 2.9074e+35 m = 1.1743e+29 x1 = 9.9035e+06 dx = -2.4759e+06 x = 9.9035e+06 y = 9.5268e+34 m = 4.8098e+28 x1 = 7.9228e+06 dx = -1.9807e+06 x = 7.9228e+06 y = 3.1217e+34 m = 1.9701e+28 x1 = 6.3383e+06 dx = -1.5846e+06 x = 6.3383e+06 y = 1.0229e+34 m = 8.0695e+27 x1 = 5.0706e+06 dx = -1.2677e+06 x = 5.0706e+06 y = 3.3520e+33 m = 3.3053e+27 x1 = 4.0565e+06 dx = -1.0141e+06 x = 4.0565e+06 y = 1.0984e+33 m = 1.3538e+27 x1 = 3.2452e+06 dx = -8.1130e+05 x = 3.2452e+06 y = 3.5991e+32 m = 5.5453e+26 x1 = 2.5961e+06 dx = -6.4904e+05 x = 2.5961e+06 y = 1.1794e+32 m = 2.2714e+26 x1 = 2.0769e+06 dx = -5.1923e+05 x = 2.0769e+06 y = 3.8645e+31 m = 9.3035e+25 x1 = 1.6615e+06 dx = -4.1538e+05 x = 1.6615e+06 y = 1.2663e+31 m = 3.8107e+25 x1 = 1.3292e+06 dx = -3.3231e+05 x = 1.3292e+06 y = 4.1495e+30 m = 1.5609e+25 x1 = 1.0634e+06 dx = -2.6585e+05 x = 1.0634e+06 y = 1.3597e+30 m = 6.3933e+24 x1 = 8.5071e+05 dx = -2.1268e+05 x = 8.5071e+05 y = 4.4555e+29 m = 2.6187e+24 x1 = 6.8056e+05 dx = -1.7014e+05 x = 6.8056e+05 y = 1.4600e+29 m = 1.0726e+24 x1 = 5.4445e+05 dx = -1.3611e+05 x = 5.4445e+05 y = 4.7841e+28 m = 4.3935e+23 x1 = 4.3556e+05 dx = -1.0889e+05 x = 4.3556e+05 y = 1.5676e+28 m = 1.7996e+23 x1 = 3.4845e+05 dx = -8.7112e+04 x = 3.4845e+05 y = 5.1369e+27 m = 7.3710e+22 x1 = 2.7876e+05 dx = -6.9690e+04 x = 2.7876e+05 y = 1.6832e+27 m = 3.0192e+22 x1 = 2.2301e+05 dx = -5.5752e+04 x = 2.2301e+05 y = 5.5157e+26 m = 1.2367e+22 x1 = 1.7841e+05 dx = -4.4601e+04 x = 1.7841e+05 y = 1.8074e+26 m = 5.0653e+21 x1 = 1.4272e+05 dx = -3.5681e+04 x = 1.4272e+05 y = 5.9224e+25 m = 2.0748e+21 x1 = 1.1418e+05 dx = -2.8545e+04 x = 1.1418e+05 y = 1.9406e+25 m = 8.4982e+20 x1 = 9.1344e+04 dx = -2.2836e+04 x = 9.1344e+04 y = 6.3591e+24 m = 3.4809e+20 x1 = 7.3075e+04 dx = -1.8269e+04 x = 7.3075e+04 y = 2.0838e+24 m = 1.4258e+20 x1 = 5.8460e+04 dx = -1.4615e+04 x = 5.8460e+04 y = 6.8280e+23 m = 5.8399e+19 x1 = 4.6768e+04 dx = -1.1692e+04 x = 4.6768e+04 y = 2.2374e+23 m = 2.3920e+19 x1 = 3.7414e+04 dx = -9.3536e+03 x = 3.7414e+04 y = 7.3316e+22 m = 9.7978e+18 x1 = 2.9932e+04 dx = -7.4829e+03 x = 2.9932e+04 y = 2.4024e+22 m = 4.0132e+18 x1 = 2.3945e+04 dx = -5.9863e+03 x = 2.3945e+04 y = 7.8722e+21 m = 1.6438e+18 x1 = 1.9156e+04 dx = -4.7890e+03 x = 1.9156e+04 y = 2.5796e+21 m = 6.7330e+17 x1 = 1.5325e+04 dx = -3.8312e+03 x = 1.5325e+04 y = 8.4527e+20 m = 2.7578e+17 x1 = 1.2260e+04 dx = -3.0650e+03 x = 1.2260e+04 y = 2.7698e+20 m = 1.1296e+17 x1 = 9.8080e+03 dx = -2.4520e+03 x = 9.8080e+03 y = 9.0760e+19 m = 4.6269e+16 x1 = 7.8464e+03 dx = -1.9616e+03 x = 7.8464e+03 y = 2.9740e+19 m = 1.8952e+16 x1 = 6.2771e+03 dx = -1.5693e+03 x = 6.2771e+03 y = 9.7453e+18 m = 7.7626e+15 x1 = 5.0217e+03 dx = -1.2554e+03 x = 5.0217e+03 y = 3.1933e+18 m = 3.1796e+15 x1 = 4.0174e+03 dx = -1.0043e+03 x = 4.0174e+03 y = 1.0464e+18 m = 1.3024e+15 x1 = 3.2139e+03 dx = -803.4480 x = 3.2139e+03 y = 3.4287e+17 m = 5.3346e+14 x1 = 2.5712e+03 dx = -642.7238 x = 2.5712e+03 y = 1.1234e+17 m = 2.1853e+14 x1 = 2.0571e+03 dx = -514.0946 x = 2.0571e+03 y = 3.6805e+16 m = 8.9534e+13 x1 = 1.6460e+03 dx = -411.0697 x = 1.6460e+03 y = 1.2052e+16 m = 3.6704e+13 x1 = 1.3177e+03 dx = -328.3533 x = 1.3177e+03 y = 3.9410e+15 m = 1.5073e+13 x1 = 1.0562e+03 dx = -261.4608 x = 1.0562e+03 y = 1.2832e+15 m = 6.2226e+12 x1 = 849.9897 dx = -206.2199 x = 849.9897 y = 4.1243e+14 m = 2.6099e+12 x1 = 691.9654 dx = -158.0243 x = 691.9654 y = 1.2739e+14 m = 1.1463e+12 x1 = 580.8333 dx = -111.1320 x = 580.8333 y = 3.4859e+13 m = 5.6908e+11 x1 = 519.5795 dx = -61.2538 x = 519.5795 y = 6.6169e+12 m = 3.6440e+11 x1 = 501.4211 dx = -18.1584 x = 501.4211 y = 4.4662e+11 m = 3.1607e+11 x1 = 500.0080 dx = -1.4130 x = 500.0080 y = 2.5101e+09 m = 3.1252e+11 x1 = 500.0000 dx = -0.0080 x = 500.0000 y = 8.0642e+04 m = 3.1250e+11 x1 = 500 dx = -2.5805e-07 x = 500 f = 500

18   Pass
n = 52658067346875; assert(abs(fifth_root(n)-555)<1e-5)

x = 5 dx = 5 y = -5.2658e+13 m = 3125 x1 = 1.6851e+10 dx = 1.6851e+10 x = 1.6851e+10 y = 1.3585e+51 m = 4.0312e+41 x1 = 1.3480e+10 dx = -3.3701e+09 x = 1.3480e+10 y = 4.4517e+50 m = 1.6512e+41 x1 = 1.0784e+10 dx = -2.6961e+09 x = 1.0784e+10 y = 1.4587e+50 m = 6.7632e+40 x1 = 8.6275e+09 dx = -2.1569e+09 x = 8.6275e+09 y = 4.7800e+49 m = 2.7702e+40 x1 = 6.9020e+09 dx = -1.7255e+09 x = 6.9020e+09 y = 1.5663e+49 m = 1.1347e+40 x1 = 5.5216e+09 dx = -1.3804e+09 x = 5.5216e+09 y = 5.1324e+48 m = 4.6476e+39 x1 = 4.4173e+09 dx = -1.1043e+09 x = 4.4173e+09 y = 1.6818e+48 m = 1.9037e+39 x1 = 3.5338e+09 dx = -8.8346e+08 x = 3.5338e+09 y = 5.5109e+47 m = 7.7974e+38 x1 = 2.8271e+09 dx = -7.0676e+08 x = 2.8271e+09 y = 1.8058e+47 m = 3.1938e+38 x1 = 2.2616e+09 dx = -5.6541e+08 x = 2.2616e+09 y = 5.9173e+46 m = 1.3082e+38 x1 = 1.8093e+09 dx = -4.5233e+08 x = 1.8093e+09 y = 1.9390e+46 m = 5.3583e+37 x1 = 1.4475e+09 dx = -3.6186e+08 x = 1.4475e+09 y = 6.3537e+45 m = 2.1948e+37 x1 = 1.1580e+09 dx = -2.8949e+08 x = 1.1580e+09 y = 2.0820e+45 m = 8.9898e+36 x1 = 9.2637e+08 dx = -2.3159e+08 x = 9.2637e+08 y = 6.8222e+44 m = 3.6822e+36 x1 = 7.4110e+08 dx = -1.8527e+08 x = 7.4110e+08 y = 2.2355e+44 m = 1.5082e+36 x1 = 5.9288e+08 dx = -1.4822e+08 x = 5.9288e+08 y = 7.3253e+43 m = 6.1777e+35 x1 = 4.7430e+08 dx = -1.1858e+08 x = 4.7430e+08 y = 2.4003e+43 m = 2.5304e+35 x1 = 3.7944e+08 dx = -9.4860e+07 x = 3.7944e+08 y = 7.8654e+42 m = 1.0365e+35 x1 = 3.0355e+08 dx = -7.5888e+07 x = 3.0355e+08 y = 2.5773e+42 m = 4.2453e+34 x1 = 2.4284e+08 dx = -6.0711e+07 x = 2.4284e+08 y = 8.4455e+41 m = 1.7389e+34 x1 = 1.9427e+08 dx = -4.8568e+07 x = 1.9427e+08 y = 2.7674e+41 m = 7.1224e+33 x1 = 1.5542e+08 dx = -3.8855e+07 x = 1.5542e+08 y = 9.0682e+40 m = 2.9173e+33 x1 = 1.2434e+08 dx = -3.1084e+07 x = 1.2434e+08 y = 2.9715e+40 m = 1.1949e+33 x1 = 9.9468e+07 dx = -2.4867e+07 x = 9.9468e+07 y = 9.7370e+39 m = 4.8945e+32 x1 = 7.9575e+07 dx = -1.9894e+07 x = 7.9575e+07 y = 3.1906e+39 m = 2.0048e+32 x1 = 6.3660e+07 dx = -1.5915e+07 x = 6.3660e+07 y = 1.0455e+39 m = 8.2116e+31 x1 = 5.0928e+07 dx = -1.2732e+07 x = 5.0928e+07 y = 3.4259e+38 m = 3.3635e+31 x1 = 4.0742e+07 dx = -1.0186e+07 x = 4.0742e+07 y = 1.1226e+38 m = 1.3777e+31 x1 = 3.2594e+07 dx = -8.1484e+06 x = 3.2594e+07 y = 3.6785e+37 m = 5.6430e+30 x1 = 2.6075e+07 dx = -6.5188e+06 x = 2.6075e+07 y = 1.2054e+37 m = 2.3114e+30 x1 = 2.0860e+07 dx = -5.2150e+06 x = 2.0860e+07 y = 3.9498e+36 m = 9.4673e+29 x1 = 1.6688e+07 dx = -4.1720e+06 x = 1.6688e+07 y = 1.2943e+36 m = 3.8778e+29 x1 = 1.3350e+07 dx = -3.3376e+06 x = 1.3350e+07 y = 4.2410e+35 m = 1.5884e+29 x1 = 1.0680e+07 dx = -2.6701e+06 x = 1.0680e+07 y = 1.3897e+35 m = 6.5059e+28 x1 = 8.5443e+06 dx = -2.1361e+06 x = 8.5443e+06 y = 4.5538e+34 m = 2.6648e+28 x1 = 6.8354e+06 dx = -1.7089e+06 x = 6.8354e+06 y = 1.4922e+34 m = 1.0915e+28 x1 = 5.4683e+06 dx = -1.3671e+06 x = 5.4683e+06 y = 4.8896e+33 m = 4.4708e+27 x1 = 4.3747e+06 dx = -1.0937e+06 x = 4.3747e+06 y = 1.6022e+33 m = 1.8313e+27 x1 = 3.4997e+06 dx = -8.7493e+05 x = 3.4997e+06 y = 5.2502e+32 m = 7.5008e+26 x1 = 2.7998e+06 dx = -6.9995e+05 x = 2.7998e+06 y = 1.7204e+32 m = 3.0723e+26 x1 = 2.2398e+06 dx = -5.5996e+05 x = 2.2398e+06 y = 5.6373e+31 m = 1.2584e+26 x1 = 1.7919e+06 dx = -4.4797e+05 x = 1.7919e+06 y = 1.8472e+31 m = 5.1545e+25 x1 = 1.4335e+06 dx = -3.5837e+05 x = 1.4335e+06 y = 6.0530e+30 m = 2.1113e+25 x1 = 1.1468e+06 dx = -2.8670e+05 x = 1.1468e+06 y = 1.9835e+30 m = 8.6478e+24 x1 = 9.1743e+05 dx = -2.2936e+05 x = 9.1743e+05 y = 6.4994e+29 m = 3.5422e+24 x1 = 7.3395e+05 dx = -1.8349e+05 x = 7.3395e+05 y = 2.1297e+29 m = 1.4509e+24 x1 = 5.8716e+05 dx = -1.4679e+05 x = 5.8716e+05 y = 6.9787e+28 m = 5.9427e+23 x1 = 4.6973e+05 dx = -1.1743e+05 x = 4.6973e+05 y = 2.2868e+28 m = 2.4341e+23 x1 = 3.7578e+05 dx = -9.3945e+04 x = 3.7578e+05 y = 7.4933e+27 m = 9.9703e+22 x1 = 3.0062e+05 dx = -7.5156e+04 x = 3.0062e+05 y = 2.4554e+27 m = 4.0838e+22 x1 = 2.4050e+05 dx = -6.0125e+04 x = 2.4050e+05 y = 8.0458e+26 m = 1.6727e+22 x1 = 1.9240e+05 dx = -4.8100e+04 x = 1.9240e+05 y = 2.6365e+26 m = 6.8515e+21 x1 = 1.5392e+05 dx = -3.8480e+04 x = 1.5392e+05 y = 8.6392e+25 m = 2.8064e+21 x1 = 1.2314e+05 dx = -3.0784e+04 x = 1.2314e+05 y = 2.8309e+25 m = 1.1495e+21 x1 = 9.8509e+04 dx = -2.4627e+04 x = 9.8509e+04 y = 9.2762e+24 m = 4.7083e+20 x1 = 7.8807e+04 dx = -1.9702e+04 x = 7.8807e+04 y = 3.0396e+24 m = 1.9285e+20 x1 = 6.3046e+04 dx = -1.5761e+04 x = 6.3046e+04 y = 9.9603e+23 m = 7.8993e+19 x1 = 5.0436e+04 dx = -1.2609e+04 x = 5.0436e+04 y = 3.2638e+23 m = 3.2355e+19 x1 = 4.0349e+04 dx = -1.0087e+04 x = 4.0349e+04 y = 1.0695e+23 m = 1.3253e+19 x1 = 3.2279e+04 dx = -8.0698e+03 x = 3.2279e+04 y = 3.5045e+22 m = 5.4283e+18 x1 = 2.5823e+04 dx = -6.4559e+03 x = 2.5823e+04 y = 1.1483e+22 m = 2.2234e+18 x1 = 2.0659e+04 dx = -5.1647e+03 x = 2.0659e+04 y = 3.7629e+21 m = 9.1072e+17 x1 = 1.6527e+04 dx = -4.1318e+03 x = 1.6527e+04 y = 1.2330e+21 m = 3.7303e+17 x1 = 1.3222e+04 dx = -3.3054e+03 x = 1.3222e+04 y = 4.0404e+20 m = 1.5279e+17 x1 = 1.0577e+04 dx = -2.6443e+03 x = 1.0577e+04 y = 1.3239e+20 m = 6.2584e+16 x1 = 8.4618e+03 dx = -2.1155e+03 x = 8.4618e+03 y = 4.3383e+19 m = 2.5635e+16 x1 = 6.7695e+03 dx = -1.6924e+03 x = 6.7695e+03 y = 1.4216e+19 m = 1.0500e+16 x1 = 5.4156e+03 dx = -1.3539e+03 x = 5.4156e+03 y = 4.6582e+18 m = 4.3008e+15 x1 = 4.3325e+03 dx = -1.0831e+03 x = 4.3325e+03 y = 1.5264e+18 m = 1.7616e+15 x1 = 3.4660e+03 dx = -866.4646 x = 3.4660e+03 y = 5.0015e+17 m = 7.2159e+14 x1 = 2.7729e+03 dx = -693.1286 x = 2.7729e+03 y = 1.6388e+17 m = 2.9559e+14 x1 = 2.2185e+03 dx = -554.3977 x = 2.2185e+03 y = 5.3685e+16 m = 1.2111e+14 x1 = 1.7752e+03 dx = -443.2616 x = 1.7752e+03 y = 1.7578e+16 m = 4.9657e+13 x1 = 1.4212e+03 dx = -353.9836 x = 1.4212e+03 y = 5.7461e+15 m = 2.0400e+13 x1 = 1.1396e+03 dx = -281.6661 x = 1.1396e+03 y = 1.8691e+15 m = 8.4321e+12 x1 = 917.9013 dx = -221.6691 x = 917.9013 y = 5.9894e+14 m = 3.5494e+12 x1 = 749.1569 dx = -168.7445 x = 749.1569 y = 1.8332e+14 m = 1.5749e+12 x1 = 632.7607 dx = -116.3962 x = 632.7607 y = 4.8779e+13 m = 8.0155e+11 x1 = 571.9043 dx = -60.8564 x = 571.9043 y = 8.5229e+12 m = 5.3489e+11 x1 = 555.9702 dx = -15.9341 x = 555.9702 y = 4.6187e+11 m = 4.7772e+11 x1 = 555.0034 dx = -0.9668 x = 555.0034 y = 1.6036e+09 m = 4.7441e+11 x1 = 555.0000 dx = -0.0034 x = 555.0000 y = 1.9533e+04 m = 4.7440e+11 x1 = 555 dx = -4.1174e-08 x = 555 f = 555