Statistics

Problem Statement for "LongPipes"

Problem Statement

As part of industrializing a newly colonized planet you are are given the task of organizing the building of fuel pipelines from one city to another. You have some pre-manufactured pieces of pipeline scattered about the planet which you can weld together to form longer lengths. This is far in the future so everything is very high tech. The length of each pipeline segment is expressed in meters. Each segment is an exact multiple of 0.001 meters (one millimeter). The total length of the pipeline you must build is also specified exactly to a multiple of 0.001 meters. By using futuristic technology moving giant pipeline segments across the planet is no problem, but welding is expensive because it is done at the molecular level. So the number of welds (and thus the number of segments of pipeline you use) is to be kept to the absolute minimum necessary. Cutting pipes is far too costly and inaccurate so it is not allowed at all. This is a really big planet, so the pipeline segments can be up to a million kilometers long (1e9 meters or 1e12 millimeters).

Given a list of the lengths of the available pipeline segments and a desiredLength, determine if the desiredLength can be formed by welding some or all of the segments end to end. If this is possible, return the minimum number of welded joints required, otherwise return -1.

Definition

Class:
LongPipes
Method:
fewestWelds
Parameters:
String[], String
Returns:
int
Method signature:
int fewestWelds(String[] segments, String desiredLength)
(be sure your method is public)

Notes

  • Either pretend the planet is flat, or assume the pipeline segments are all arcs of great circles and the length measurement is the arc length. Either way, this is a one-dimensional problem.
  • Each element in segments can be used only once. If multiple pipeline segments of the same length are available, that length will be present multiple times in segments.

Constraints

  • segments will contain between 1 and 38 elements, inclusive.
  • desiredLength and each element of segments will be a decimal number.
  • Each decimal number will consist of 1 or more digits ('0'-'9') followed by a decimal point, followed by exactly three digits to the right of the decimal point.
  • No decimal number will contain extra leading zeros.
  • Each element of segments will be between 0.001 and 1000000000.000 meters (1e9), inclusive.
  • desiredLength will be between 0.001 and 38000000000.000 meters (3.8e10), inclusive.

Examples

  1. {"1.000","2.000","4.000","8.000","16.000","32.000","64.000","128.000", "256.000","512.000","1024.000","2048.000","4096.000","8192.000", "16384.000","32768.000","65536.000"}

    "65535.000"

    Returns: 15

    You can combine 16 lengths of pipe from the above list to form the desired length (all but the last element). Connecting 16 segments requires 15 welded joints.

  2. {"0.001","0.002","0.004","0.008","0.016","0.032","0.064","0.128","0.256", "0.512","1.024","2.048","4.096","8.192","16.384","32.768","65.536", "131.072","262.144","524.288","1048.576","2097.152","4194.304","8388.608", "16777.216","33554.432","67108.864","134217.728","268435.456","536870.912", "1073741.824","2147483.648","4294967.296","8589934.592","17179869.184", "34359738.368","68719476.736","137438953.472"}

    "233333333.555"

    Returns: 17

    A larger example along the same lines.

  3. {"0.001","0.002","0.004","0.008","0.016","0.032","0.064","0.128","0.256", "0.512","1.024","2.048","4.096","8.192","16.384","32.768","65.536", "131.072", "1000.001","1000.002","1000.004","1000.008","1000.016","1000.032", "1000.064","1000.128","1000.256","1000.512","1001.024","1002.048", "1004.096","1008.192","1016.384","1032.768","1065.536","1131.072" }

    "1000.128"

    Returns: 0

  4. {"0.001","0.002","0.004","0.008","0.016","0.032","0.064","0.128","0.256", "0.512","1.024","2.048","4.096","8.192","16.384","32.768","65.536", "131.072", "1000.001","1000.002","1000.004","1000.008","1000.016","1000.032", "1000.064","1000.128","1000.256","1000.512","1001.024","1002.048", "1004.096","1008.192","1016.384","1032.768","1065.536","1131.072" }

    "1000.000"

    Returns: -1

  5. {"1.234","1.234","1.234","1.234","1.234","1.234","1.234", "1.234","1.234","1.234","1.234","1.234","1.234","1.234", "1.234","1.234","1.234","1.234","1.234","1.234","1.234", "1.234","1.234","1.234","1.234","1.234","1.234","1.234", "1.234","1.234","1.234","1.234","1.234","1.234","1.234", "1.234","1.234","1.234"}

    "13.574"

    Returns: 10

  6. {"0.001","0.002","0.004","0.008","0.016","0.032","0.064","0.128","0.256", "0.512","1.024","2.048","4.096","8.192","16.384","32.768","65.536", "131.072","500000.000","700000.000","30000.000", "1000.001","1000.002","1000.004","1000.008","1000.016","1000.032", "1000.064","1000.128","1000.256","1000.512","1001.024","1002.048", "1004.096","1008.192","1016.384","1032.768","1065.536" }

    "501000.128"

    Returns: 1

  7. {"1000000000.000","1000000000.000","1000000000.000","1000000000.000", "1000000000.000","1000000000.000","1000000000.000","1000000000.000", "1000000000.000","1000000000.000","1000000000.000","1000000000.000", "1000000000.000","1000000000.000","1000000000.000","1000000000.000", "1000000000.000","1000000000.000","1000000000.000","1000000000.000", "1000000000.000","1000000000.000","1000000000.000","1000000000.000", "1000000000.000","1000000000.000","1000000000.000","1000000000.000", "1000000000.000","1000000000.000","1000000000.000","1000000000.000", "1000000000.000","1000000000.000","1000000000.000","1000000000.000", "1000000000.000","1000000000.000"}

    "38000000000.000"

    Returns: 37

    The maximum desiredLength.

  8. {"0.002","0.002","0.004","0.008","0.016","0.032","0.064","0.128","0.256", "0.512","1.024","2.048","4.096","8.192","16.384","32.768","65.536", "131.072","262.144","524.288","1048.576","2097.152","4194.304","8388.608", "16777.216","33554.432","67108.864","134217.728","268435.456","536870.912", "1073741.824","2147483.648","4294967.296","8589934.592","17179869.184", "34359738.368","68719476.736","137438953.472"}

    "1000000000.001"

    Returns: -1

    Not possible.

  9. {"0.001","0.002","0.004","0.008","0.016","0.032","0.064","0.128","0.256", "0.512","1.024","2.048","4.096","8.192","16.384","32.768","65.536", "131.072","262.144","524.288","1048.576","2097.152","4194.304","8388.608", "16777.216","33554.432","67108.864","134217.728","268435.456","536870.912", "1073741.824","2147483.648","4294967.296","8589934.592","17179869.184", "34359738.368","68719476.736","137438953.472"}

    "274877906.943"

    Returns: 37

  10. {"1234567.890"}

    "1234567.890"

    Returns: 0

  11. {"1234567.890"}

    "123456.789"

    Returns: -1

  12. {"1.234","4.432","5.937","5.393","9.395","7.385","4.385", "2.314","9.087","4.398","0.538","4.345","9.323","4.124", "1.593","1.402","2.594","7.321","5.320","0.320","9.395", "6.526","7.393","3.592","3.433","2.405","2.502","1.504", "7.970","9.099","8.888","6.666","9.342","8.325","7.112"}

    "100.000"

    Returns: 11

  13. {"1.234","4.432","5.937","5.393","9.395","7.385","4.385", "2.314","9.087","4.398","0.538","4.345","9.323","4.124", "1.593","1.402","2.594","7.321","5.320","0.320","9.395", "6.526","7.393","3.592","3.433","2.405","2.502","1.504", "7.970","9.099","8.888","6.666","9.342","8.325","7.112"}

    "143.042"

    Returns: 19

  14. {"1.234","4.432","5.937","5.393","9.395","7.385","4.385", "2.314","9.087","4.398","0.538","4.345","9.323","4.124", "1.593","1.402","2.594","7.321","5.320","0.320","9.395", "6.526","7.393","3.592","3.433","2.405","2.502","1.504", "7.970","9.099","8.888","6.666","9.342","8.325","7.112"}

    "85.000"

    Returns: 10

  15. {"1.234","4.432","5.937","5.393","9.395","7.385","4.385", "2.314","9.087","4.398","0.538","4.345","9.323","4.124", "1.593","1.402","2.594","7.321","5.320","0.320","9.395", "6.526","7.393","3.592","3.433","2.405","2.502","1.504", "7.970","9.099","8.888","6.666","9.342","8.325","7.112"}

    "200.000"

    Returns: -1

  16. {"1.234","4.432","5.937","5.393","9.395","7.385","4.385", "2.314","9.087","4.398","0.538","4.345","9.323","4.124", "1.593","1.402","2.594","7.321","5.320","0.320","9.395", "6.526","7.393","3.592","3.433","2.405","2.502","1.504", "7.970","9.099","8.888","6.666","9.342","8.325","7.112"}

    "180.445"

    Returns: -1

  17. {"1.234","4.432","5.937","5.393","9.395","7.385","4.385", "2.314","9.087","4.398","0.538","4.345","9.323","4.124", "1.593","1.402","2.594","7.321","5.320","0.320","9.395", "6.526","7.393","3.592","3.433","2.405","2.502","1.504", "7.970","9.099","8.888","6.666","9.342","8.325","7.112"}

    "150.042"

    Returns: 20

  18. {"1.234","4.432","5.937","5.393","9.395","7.385","4.385", "2.314","9.087","4.398","0.538","4.345","9.323","4.124", "1.593","1.402","2.594","7.321","5.320","0.320","9.395", "6.526","7.393","3.592","3.433","2.405","2.502","1.504", "7.970","9.099","8.888","6.666","9.342","8.325","7.112"}

    "100.001"

    Returns: 12

  19. {"1.234","4.432","5.937","5.393","9.395","7.385","4.385", "2.314","9.087","4.398","0.538","4.345","9.323","4.124", "1.593","1.402","2.594","7.321","5.320","0.320","9.395", "6.526","7.393","3.592","3.433","2.405","2.502","1.504", "7.970","9.099","8.888","6.666","9.342","8.325","7.112"}

    "100.100"

    Returns: 12

  20. {"1.234","4.432","5.937","5.393","9.395","7.385","4.385", "2.314","9.087","4.398","0.538","4.345","9.323","4.124", "1.593","1.402","2.594","7.321","5.320","0.320","9.395", "6.526","7.393","3.592","3.433","2.405","2.502","1.504", "3.431","3.595","9.939","7.970","9.099","8.888","6.666", "9.342","8.325","7.112"}

    "200.000"

    Returns: -1

  21. {"1.234","4.432","5.937","5.393","9.395","7.385","4.385", "2.314","9.087","4.398","0.538","4.345","9.323","4.124", "1.593","1.402","2.594","7.321","5.320","0.320","9.395", "6.526","7.393","3.592","3.433","2.405","2.502","1.504", "3.431","3.595","9.939","7.970","9.099","8.888","6.666", "9.342","8.325","7.112"}

    "180.000"

    Returns: 26

  22. {"1.234","4.432","5.937","5.393","9.395","7.385","4.385", "2.314","9.087","4.398","0.538","4.345","9.323","4.124", "1.593","1.402","2.594","7.321","5.320","0.320","9.395", "6.526","7.393","3.592","3.433","2.405","2.502","1.504", "3.431","3.595","9.939","7.970","9.099","8.888","6.666", "9.342","8.325","7.112"}

    "175.625"

    Returns: 25

  23. {"1.234","4.432","5.937","5.393","9.395","7.385","4.385", "2.314","9.087","4.398","0.538","4.345","9.323","4.124", "1.593","1.402","2.594","7.321","5.320","0.320","9.395", "6.526","7.393","3.592","3.433","2.405","2.502","1.504", "3.431","3.595","9.939","7.970","9.099","8.888","6.666", "9.342","8.325","7.112"}

    "163.333"

    Returns: 23

  24. {"1.234","4.432","5.937","5.393","9.395","7.385","4.385", "2.314","9.087","4.398","0.538","4.345","9.323","4.124", "1.593","1.402","2.594","7.321","5.320","0.320","9.395", "6.526","7.393","3.592","3.433","2.405","2.502","1.504", "3.431","3.595","9.939","7.970","9.099","8.888","6.666", "9.342","8.325","7.112"}

    "133.333"

    Returns: 17

  25. {"1.234","4.432","5.937","5.393","9.395","7.385","4.385", "2.314","9.087","4.398","0.538","4.345","9.323","4.124", "1.593","1.402","2.594","7.321","5.320","0.320","9.395", "6.526","7.393","3.592","3.433","2.405","2.502","1.504", "3.431","3.595","9.939","7.970","9.099","8.888","6.666", "9.342","8.325","7.112"}

    "50.000"

    Returns: 5

  26. {"687122686.865","422334283.815","101039459.085","616884051.235","534615042.160","852550848.003","308041591.721","623922155.731","805922783.187","660439988.332","215425468.382","253994287.006","973382448.660","76915868.366","812635347.459","461224233.415","123102703.939","888306697.035","324502566.646","872774743.948","85355482.680","515064550.794","516837980.746","744418627.427","920252638.085","677205700.900","273325859.603","575106576.024","403239759.867","603513639.285","713250203.784","962562671.663","404937848.192","991535018.397","369584796.984","531939163.433","309864552.871","175400840.053"}

    "10847110893.434"

    Returns: 17

  27. {"196978332.758","19561333.009","868566078.848","208503190.610","429165867.504","843794222.459","127690818.048","818059373.234","555337602.020","745061944.597","332536322.722","438594472.169","934996653.332","327051238.488","946600509.006","781373581.390","820836722.280","581130280.841","182668668.557","646815052.916","809171027.972","726014065.726","689967169.544","936915915.208","987443839.265","944707743.310","291915521.709","74720734.984","298355668.939","850758864.995","919007694.232","287865199.518","890133632.067","765850022.496","131354070.541","463225700.217","472477833.068","140763238.024"}

    "13631156506.544"

    Returns: 19

  28. {"875415413.083","529706052.980","947715603.354","701746781.005","369459857.129","576192688.291","836694237.975","154316610.409","262274373.669","161709617.898","268943822.191","526522648.739","459661817.351","524804220.479","556641444.594","483711945.189","263254932.433","649195488.406","621907739.508","196819582.222","716178440.184","392715308.628","796967301.152","596218600.772","300090558.335","136574978.583","766704202.866","93160357.103","378135172.868","661987179.966","673143634.896","100836415.177","28335826.497","211175544.233","651391065.407","937093305.598","161963064.486","939802427.523"}

    "10011508685.004"

    Returns: 18

  29. {"316560318.195","940831277.349","71405817.890","217846514.801","971221561.973","884118440.426","802078819.324","485961355.197","552900492.972","12051596.962","992896604.711","624346068.350","591160279.400","292394615.061","79845865.132","41159554.715","693797020.516","707026291.103","7187097.109","937509382.569","331680341.025","667228115.195","840816846.065","456046677.242","941770283.323","884843952.560","928322050.088","670198162.951","617841634.019","281342390.819","500257264.633","621066660.401","908447152.721","766813207.172","857176461.577","859031361.907","491650593.663","970929174.807"}

    "12413602971.259"

    Returns: 19

  30. {"536950429.123","197078956.227","746061248.920","257904386.888","106901041.271","632897066.430","487700866.537","607480608.011","475283669.244","646761110.222","392234396.645","193972436.594","866649040.821","332245785.307","872095664.760","745402944.575","855615693.321","66792669.170","428039417.898","14760972.737","103584348.525","679164889.993","744650924.640","945411144.554","692925362.736","320820276.143","49344135.207","362687888.637","203170721.845","498234306.007","504380081.867","273705046.745","923741533.404","973203915.449","651436488.482","107411783.774","847742448.340","488163507.009"}

    "9113968781.692"

    Returns: 16

  31. {"178259844.831","476926562.933","341354284.690","523544553.393","526931234.889","296179984.472","633356010.309","544209714.698","113277316.267","332898213.940","519307364.387","441993018.378","176957494.117","529957671.667","924923326.869","131377311.973","531758485.548","677142925.502","223171842.306","505340038.408","735627891.547","265338302.058","449625850.727","208398700.349","449977652.073","605185091.435","810601039.540","933887547.730","7788740.549","542235181.045","128610316.891","202496087.501","460048457.726","350632702.929","119666725.947","829101359.499","620051494.845","637354478.057"}

    "8041310400.457"

    Returns: 15

  32. {"646965435.487","534924778.672","875095924.931","339041058.048","345476578.391","412044958.562","785105567.818","143449259.566","261979923.591","197297711.140","737709820.661","917557433.044","405072758.209","562594570.864","179312302.699","974354979.376","349681972.897","878691015.697","191679383.664","260347080.567","290611987.848","159435531.787","433580175.571","795806076.021","189659579.571","143531104.324","717009005.122","949800606.921","910826627.507","720839886.402","737521387.675","382033923.125","488162533.459","160262814.671","728215496.036","733522422.887","920767131.760","846225139.653"}

    "9417776971.488"

    Returns: 19

  33. {"56889467.016","398145916.667","139485463.184","480798931.727","35906442.160","957100528.897","39825774.392","958494461.961","464298393.385","108285930.118","725631959.473","370750855.700","671639773.135","172657582.391","358041484.994","847157985.156","83222747.578","509575906.474","254260365.297","190440527.873","576064642.680","423183075.999","130686162.395","512235345.221","145279309.522","391838877.775","634910450.544","326693755.996","650343552.790","702646991.636","561131965.736","808939583.582","660789695.507","823102898.001","393511500.177","175414574.135","670855759.195","91894475.999"}

    "6079610983.999"

    Returns: 14

  34. {"72000097.287","393142161.087","202624399.619","560886716.369","125171599.846","674941002.059","567181831.409","70321917.482","564590711.917","467619375.256","303328038.187","889266215.003","185248230.691","890182002.989","563369553.645","503334193.502","166594079.881","829079934.908","965525879.226","381722378.391","118700061.581","147535676.982","682481054.837","805583214.932","968083010.379","715973729.445","785611470.587","89770489.150","327719990.954","220588771.880","114421145.408","779987685.652","245786573.137","957081993.937","190715806.419","657370438.336","477649475.489","66597340.485"}

    "8730147744.673"

    Returns: 20

  35. {"947046987.452","632534174.106","675644961.540","920888594.354","288957398.627","861118485.588","141174033.881","613748730.213","760558867.361","662859280.771","33645787.907","765732663.896","832973886.635","76220044.417","180800141.755","99204808.365","585172421.069","130613326.238","884941371.303","490742419.073","796734760.771","168243917.311","369613242.072","457926370.872","722071976.646","797604926.607","761247561.801","287550207.680","65635281.224","310657675.209","750316997.673","262278935.676","927645125.988","645727208.689","326523572.186","692788900.431","739871853.349","228144248.365"}

    "13195248478.705"

    Returns: 22

  36. {"594233979.938","280992332.606","331831042.987","477418583.122","508223331.447","286911870.588","308133561.820","482144747.655","663394042.239","162968970.630","28789605.041","219358316.685","171085109.012","416682102.629","369461385.708","677802855.035","473434913.489","699967904.395","593438562.704","389191656.846","809591558.414","720801445.688","175789199.325","542046865.372","469093649.384","521148420.461","588509321.743","916888774.172","242577678.767","93825487.808","581827376.976","740431375.617","729968469.666","560945090.131","746819461.627","806440524.336","416308620.102","386601155.284"}

    "12053992022.390"

    Returns: -1

  37. {"394492164.920","460911072.063","675383412.837","346451616.340","36488711.023","299218931.741","111297421.564","226854103.563","2574923.814","672904539.114","898158958.525","476211301.041","980061347.282","353744064.522","28028765.658","281181897.887","510317500.831","952764194.943","627289042.148","790413455.070","727534744.228","941857218.982","751589203.058","458453766.012","874893977.342","375652465.797","319524409.757","732496264.597","383294209.828","661300167.589","95203482.878","554616572.805","547798576.080","973824355.416","879862007.564","402155734.179","86953912.563","164700776.009"}

    "7169781979.739"

    Returns: -1

  38. {"322677204.480","838906845.361","120139899.154","261316104.087","10940741.429","799761056.578","348104455.298","904964847.608","749745649.261","81469273.335","471841295.749","325040093.805","191343583.976","762176059.196","134966150.434","697074277.388","224328948.882","522381364.097","924747590.478","982286260.296","782805694.033","89987107.069","216949046.863","596291284.385","985693463.263","282084260.166","899638045.730","504629348.814","766329017.803","366137007.974","261118926.423","592769117.407","402519375.823","713220039.308","577145490.952","408242796.013","607202961.978","965965403.898"}

    "9299715589.301"

    Returns: -1

  39. {"182569560.423","622568869.040","89874632.596","193875013.000","62581820.035","810618589.707","748931474.074","758655194.422","248701337.993","395082524.574","905094979.374","862229418.133","554669655.638","853693560.985","236066254.302","85431.571","437406094.908","536862372.517","322570402.343","792613330.619","18180277.308","693381818.122","965946240.567","917090291.269","549158135.412","551856515.921","687437741.241","112968823.216","860477820.846","555513508.547","69343359.104","483124322.558","573011558.833","98050819.796","848179556.998","563718389.960","111969756.369","358179707.702"}

    "8062139029.725"

    Returns: -1

  40. {"920014607.842","885334086.344","806503823.902","80516974.243","668129276.220","998039540.312","610463518.404","400483755.165","273160196.805","183035833.483","229465588.052","60866770.160","915882545.434","323545779.120","689429459.391","617698583.554","32788110.627","657599572.396","631736695.020","483112773.775","34614877.082","385373726.494","870170029.723","902830613.907","147984847.331","353739429.350","994788601.344","215935183.963","290305549.994","290676593.690","57895310.983","994589524.631","138092415.301","312210025.729","627252876.652","911354820.170","798867622.775","674523694.610"}

    "10433077882.219"

    Returns: -1

  41. {"741704567.120","431764706.139","746791670.428","993909431.101","554355993.837","679812591.135","932184469.905","407206492.109","698474238.222","74007469.845","225091598.534","395388028.961","661260431.443","581655034.619","603052296.642","242950709.733","700652190.638","689020002.450","743225340.292","355763958.277","90312021.233","435026159.115","929029087.225","910034754.743","727958096.788","106150193.798","431451982.618","555044542.211","392193444.052","440165550.291","775189651.094","142314310.875","182990086.215","436392882.196","549764928.637","703854098.930","930984045.385","120112719.797"}

    "7371669056.682"

    Returns: -1

  42. {"675787072.607","152153316.892","610737764.739","858797375.636","286506347.053","424567992.914","43125963.117","77817689.000","634820303.475","44761144.682","422001370.751","473281152.063","685887946.772","323852874.637","450296411.072","69657830.005","305508039.487","673935894.921","120717225.103","719849805.745","204417935.236","756613279.955","426186230.066","895361001.187","48668874.067","439214190.298","535189377.733","864223232.282","396234361.612","781344358.256","217184669.224","604334835.705","370007631.805","524426982.014","553227622.401","49868223.645","227344524.487","806890915.631"}

    "5484161245.951"

    Returns: -1

  43. {"216970568.934","518402399.043","236308038.427","77661779.323","861191603.852","416437048.528","518770779.320","430612735.798","395009550.552","570943984.624","770531585.646","832630966.857","186941307.987","784612561.935","18602514.700","967956037.241","478957637.529","462445218.849","825822613.236","671446589.702","546693748.766","407359285.186","602954409.162","173431357.124","390971047.216","132451408.508","938419764.803","628801136.841","995785918.921","287580940.648","105830946.209","652997467.094","437922294.886","47928182.731","159473541.573","837554792.353","383343892.686","562184225.106"}

    "10857455257.558"

    Returns: -1

  44. {"277897135.391","467851790.374","755522468.413","808028258.095","265770244.772","915728789.291","610858400.960","452548710.033","374155595.892","429626820.948","506349815.187","565264572.764","849362060.730","294905082.302","894666424.375","281403040.110","870529637.563","586992924.815","331784544.387","763089677.917","786103415.370","990032286.830","532339169.386","56107526.862","809353002.487","403667471.167","557849866.976","689881259.778","583093665.132","310637773.160","672976211.286","118342712.712","273765380.467","127829973.111","654959400.071","349334008.337","105025938.071","13446131.351"}

    "9781708993.002"

    Returns: -1

  45. {"591406035.137","360204464.272","491014585.048","852943722.217","451570615.317","147257720.996","179442251.794","396403776.104","966292609.518","506705125.457","64664712.085","769983566.728","601744741.050","894781693.288","580894915.675","834109952.324","662148402.892","964681006.115","835710660.811","111069855.772","806612768.062","627965195.511","894014105.600","254653761.407","515253537.099","738106124.199","872598935.481","284508825.255","289747804.847","743814430.158","755481872.002","57857647.828","623481234.454","909812149.346","90154556.198","701239090.148","26443640.760","952705619.959"}

    "12705747803.640"

    Returns: -1

  46. { "0.002", "0.002", "0.002", "0.002", "0.002", "0.002", "0.002", "0.002", "0.002", "0.002", "0.002", "0.002", "0.002", "0.002", "0.002", "0.002", "0.002", "0.002", "0.002", "0.002", "0.002", "0.002", "0.002", "0.002", "0.002", "0.002", "0.002", "0.002", "0.002", "0.002", "0.002", "0.002", "0.002", "0.002", "0.002", "0.002", "0.002", "0.002" }

    "0.037"

    Returns: -1

  47. { "1000000000.000", "1000000000.000", "1000000000.000", "1000000000.000", "1000000000.000", "1000000000.000", "1000000000.000", "1000000000.000", "1000000000.000", "1000000000.000", "1000000000.000", "1000000000.000", "1000000000.000", "1000000000.000", "1000000000.000", "1000000000.000", "1000000000.000", "1000000000.000", "1000000000.000", "1000000000.000", "1000000000.000", "1000000000.000", "1000000000.000", "1000000000.000", "1000000000.000", "1000000000.000", "1000000000.000", "1000000000.000", "1000000000.000", "1000000000.000", "1000000000.000", "1000000000.000", "1000000000.000", "1000000000.000", "1000000000.000", "1000000000.000", "1000000000.000", "1000000000.000" }

    "19000000000.001"

    Returns: -1

  48. { "1.000", "2.000", "3.000", "4.000", "5.000", "6.000", "7.000", "8.000", "9.000", "10.000", "11.000", "12.000", "13.000", "14.000", "15.000", "16.000", "17.000", "18.000", "19.000", "20.000", "21.000", "22.000", "23.000", "24.000", "25.000", "26.000", "27.000", "28.000", "29.000", "30.000", "31.000", "32.000", "33.000", "34.000", "35.000", "36.000", "37.000", "10000000.000" }

    "5000000.000"

    Returns: -1

  49. { "2.000", "8.000", "10.000", "2.000", "8.000", "10.000" }

    "20.000"

    Returns: 1

  50. { "978816.075", "585011.041", "973852.260", "925858.520", "695439.833", "582266.900", "669548.617", "905714.731", "398063.299", "284521.855", "904103.388", "712657.382", "447401.010", "151701.122", "431585.336", "566208.019", "210933.217", "868591.806", "892025.855", "988110.999", "645449.195", "236534.318", "6158.741", "290820.333", "542209.040", "731071.499", "617140.962", "437018.173", "695230.801", "202713.272", "330058.629", "395785.089", "385858.287", "998454.562", "8189.600", "399946.215", "842531.039", "60740.725" }

    "10323726.561"

    Returns: 14

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