calculate Road Length Value

calculateRoadLengthValueFunction.py

import math
import numpy

delta = .01
roadLengthValues = {}

def calculateRoadLengthValueFunction(length):
    hypotenuse = math.sqrt((length * length) + (4*4))
    roadLength = (4 * hypotenuse) + (8 - (2*length))
    return roadLength

# Using Delta
print ("Delta is: " ,delta)

# calculating possible values with given delta
for length in numpy.arange(1.0, 4.0,delta):
  totalLength = calculateRoadLengthValueFunction(length)
  print ("Total road Length is:%s with length:%s " % (totalLength,length))
  # roadLengthValues.append({length: totalLength})
  roadLengthValues[length] = totalLength


# minimum values
desiredLength = min(roadLengthValues, key=roadLengthValues.get)
print ("Length is: ", desiredLength)

print ("Minimum Road Length is: ", roadLengthValues[desiredLength])

Problem Statement

Approach

Length 1.99

Length 2

Length 1

Delta is: 0.1

Total road Length is:22.492422502470642 with length:1.0
Total road Length is:22.39397481015323 with length:1.1
Total road Length is:22.304490414256883 with length:1.2000000000000002
Total road Length is:22.223792675850472 with length:1.3000000000000003
Total road Length is:22.15169608033367 with length:1.4000000000000004
Total road Length is:22.08800749063506 with length:1.5000000000000004
Total road Length is:22.032527382830416 with length:1.6000000000000005
Total road Length is:21.98505104968058 with length:1.7000000000000006
Total road Length is:21.945369759569047 with length:1.8000000000000007
Total road Length is:21.913271860387624 with length:1.9000000000000008
Total road Length is:21.88854381999832 with length:2.000000000000001
Total road Length is:21.870971196922426 with length:2.100000000000001
Total road Length is:21.860339536821325 with length:2.200000000000001
Total road Length is:21.856435192094924 with length:2.300000000000001
Total road Length is:21.859046063504962 with length:2.4000000000000012
Total road Length is:21.867962264113206 with length:2.5000000000000013
Total road Length is:21.882976707002502 with length:2.6000000000000014
Total road Length is:21.903885619221846 with length:2.7000000000000015
Total road Length is:21.930488985173923 with length:2.8000000000000016
Total road Length is:21.962590923257 with length:2.9000000000000017
Total road Length is:22.0 with length:3.0000000000000018
Total road Length is:22.042529486207993 with length:3.100000000000002
Total road Length is:22.089997559785118 with length:3.200000000000002
Total road Length is:22.142227459942678 with length:3.300000000000002
Total road Length is:22.1990475974507 with length:3.400000000000002
Total road Length is:22.2602916254693 with length:3.500000000000002
Total road Length is:22.32579847531794 with length:3.6000000000000023
Total road Length is:22.395412361320446 with length:3.7000000000000024
Total road Length is:22.468982758613958 with length:3.8000000000000025
Total road Length is:22.546364357541478 with length:3.9000000000000026

Length is: 2.300000000000001

Minimum Road Length is: 21.856435192094924

Delta is: 0.01

Total road Length is:22.492422502470642 with length:1.0
Total road Length is:22.482169554334362 with length:1.01
Total road Length is:22.472007751936165 with length:1.02
Total road Length is:22.46193693245438 with length:1.03
Total road Length is:22.45195693195455 with length:1.04
Total road Length is:22.442067585401773 with length:1.05
Total road Length is:22.43226872667309 with length:1.06
Total road Length is:22.422560188569882 with length:1.07
Total road Length is:22.4129418028303 with length:1.08
Total road Length is:22.40341340014172 with length:1.09
Total road Length is:22.39397481015323 with length:1.1
Total road Length is:22.384625861488118 with length:1.11
Total road Length is:22.37536638175638 with length:1.12
Total road Length is:22.366196197567263 with length:1.1300000000000001
Total road Length is:22.357115134541804 with length:1.1400000000000001
Total road Length is:22.348123017325406 with length:1.1500000000000001
Total road Length is:22.339219669600375 with length:1.1600000000000001
Total road Length is:22.33040491409852 with length:1.1700000000000002
Total road Length is:22.32167857261373 with length:1.1800000000000002
Total road Length is:22.31304046601457 with length:1.1900000000000002
Total road Length is:22.304490414256883 with length:1.2000000000000002
Total road Length is:22.296028236396346 with length:1.2100000000000002
Total road Length is:22.287653750601127 with length:1.2200000000000002
Total road Length is:22.279366774164426 with length:1.2300000000000002
Total road Length is:22.271167123517095 with length:1.2400000000000002
Total road Length is:22.26305461424021 with length:1.2500000000000002
Total road Length is:22.25502906107766 with length:1.2600000000000002
Total road Length is:22.247090277948708 with length:1.2700000000000002
Total road Length is:22.239238077960557 with length:1.2800000000000002
Total road Length is:22.231472273420913 with length:1.2900000000000003
Total road Length is:22.223792675850472 with length:1.3000000000000003
Total road Length is:22.21619909599551 with length:1.3100000000000003
Total road Length is:22.20869134384033 with length:1.3200000000000003
Total road Length is:22.201269228619772 with length:1.3300000000000003
Total road Length is:22.193932558831683 with length:1.3400000000000003
Total road Length is:22.186681142249356 with length:1.3500000000000003
Total road Length is:22.179514785933947 with length:1.3600000000000003
Total road Length is:22.17243329624688 with length:1.3700000000000003
Total road Length is:22.165436478862222 with length:1.3800000000000003
Total road Length is:22.158524138779033 with length:1.3900000000000003
Total road Length is:22.15169608033367 with length:1.4000000000000004
Total road Length is:22.14495210721209 with length:1.4100000000000004
Total road Length is:22.138292022462096 with length:1.4200000000000004
Total road Length is:22.13171562850556 with length:1.4300000000000004
Total road Length is:22.12522272715062 with length:1.4400000000000004
Total road Length is:22.11881311960385 with length:1.4500000000000004
Total road Length is:22.11248660648233 with length:1.4600000000000004
Total road Length is:22.10624298782579 with length:1.4700000000000004
Total road Length is:22.100082063108605 with length:1.4800000000000004
Total road Length is:22.094003631251812 with length:1.4900000000000004
Total road Length is:22.08800749063506 with length:1.5000000000000004
Total road Length is:22.082093439108554 with length:1.5100000000000005
Total road Length is:22.076261274004906 with length:1.5200000000000005
Total road Length is:22.070510792150948 with length:1.5300000000000005
Total road Length is:22.06484178987954 with length:1.5400000000000005
Total road Length is:22.05925406304132 with length:1.5500000000000005
Total road Length is:22.053747407016328 with length:1.5600000000000005
Total road Length is:22.0483216167257 with length:1.5700000000000005
Total road Length is:22.042976486643234 with length:1.5800000000000005
Total road Length is:22.03771181080692 with length:1.5900000000000005
Total road Length is:22.032527382830416 with length:1.6000000000000005
Total road Length is:22.027422995914492 with length:1.6100000000000005
Total road Length is:22.022398442858396 with length:1.6200000000000006
Total road Length is:22.017453516071168 with length:1.6300000000000006
Total road Length is:22.012588007582902 with length:1.6400000000000006
Total road Length is:22.00780170905595 with length:1.6500000000000006
Total road Length is:22.003094411796063 with length:1.6600000000000006
Total road Length is:21.998465906763492 with length:1.6700000000000006
Total road Length is:21.993915984584 with length:1.6800000000000006
Total road Length is:21.989444435559818 with length:1.6900000000000006
Total road Length is:21.98505104968058 with length:1.7000000000000006
Total road Length is:21.980735616634142 with length:1.7100000000000006
Total road Length is:21.97649792581735 with length:1.7200000000000006
Total road Length is:21.972337766346772 with length:1.7300000000000006
Total road Length is:21.968254927069356 with length:1.7400000000000007
Total road Length is:21.96424919657298 with length:1.7500000000000007
Total road Length is:21.960320363197006 with length:1.7600000000000007
Total road Length is:21.95646821504271 with length:1.7700000000000007
Total road Length is:21.952692539983676 with length:1.7800000000000007
Total road Length is:21.9489931256761 with length:1.7900000000000007
Total road Length is:21.945369759569047 with length:1.8000000000000007
Total road Length is:21.94182222891463 with length:1.8100000000000007
Total road Length is:21.938350320778113 with length:1.8200000000000007
Total road Length is:21.93495382204796 with length:1.8300000000000007
Total road Length is:21.931632519445778 with length:1.8400000000000007
Total road Length is:21.92838619953625 with length:1.8500000000000008
Total road Length is:21.92521464873692 with length:1.8600000000000008
Total road Length is:21.922117653327984 with length:1.8700000000000008
Total road Length is:21.919094999461933 with length:1.8800000000000008
Total road Length is:21.916146473173193 with length:1.8900000000000008
Total road Length is:21.913271860387624 with length:1.9000000000000008
Total road Length is:21.91047094693201 with length:1.9100000000000008
Total road Length is:21.90774351854342 with length:1.9200000000000008
Total road Length is:21.90508936087854 with length:1.9300000000000008
Total road Length is:21.902508259522893 with length:1.9400000000000008
Total road Length is:21.9 with length:1.9500000000000008
Total road Length is:21.89756436778046 with length:1.9600000000000009
Total road Length is:21.895201148290983 with length:1.9700000000000009
Total road Length is:21.892910126923287 with length:1.9800000000000009
Total road Length is:21.890691089042974 with length:1.9900000000000009
Total road Length is:21.88854381999832 with length:2.000000000000001
Total road Length is:21.88646810512894 with length:2.0100000000000007
Total road Length is:21.884463729774456 with length:2.020000000000001
Total road Length is:21.882530479283016 with length:2.030000000000001
Total road Length is:21.88066813901977 with length:2.040000000000001
Total road Length is:21.87887649437528 with length:2.0500000000000007
Total road Length is:21.877155330773807 with length:2.060000000000001
Total road Length is:21.875504433681563 with length:2.070000000000001
Total road Length is:21.873923588614872 with length:2.080000000000001
Total road Length is:21.87241258114826 with length:2.0900000000000007
Total road Length is:21.870971196922426 with length:2.100000000000001
Total road Length is:21.8695992216522 with length:2.110000000000001
Total road Length is:21.86829644113438 with length:2.120000000000001
Total road Length is:21.867062641255476 with length:2.130000000000001
Total road Length is:21.865897607999447 with length:2.140000000000001
Total road Length is:21.864801127455266 with length:2.1500000000000012
Total road Length is:21.863772985824475 with length:2.160000000000001
Total road Length is:21.862812969428653 with length:2.170000000000001
Total road Length is:21.861920864716758 with length:2.180000000000001
Total road Length is:21.861096458272456 with length:2.1900000000000013
Total road Length is:21.860339536821325 with length:2.200000000000001
Total road Length is:21.859649887237993 with length:2.210000000000001
Total road Length is:21.859027296553226 with length:2.220000000000001
Total road Length is:21.858471551960882 with length:2.2300000000000013
Total road Length is:21.857982440824834 with length:2.240000000000001
Total road Length is:21.857559750685816 with length:2.250000000000001
Total road Length is:21.85720326926815 with length:2.260000000000001
Total road Length is:21.856912784486422 with length:2.2700000000000014
Total road Length is:21.856688084452102 with length:2.280000000000001
Total road Length is:21.856528957480037 with length:2.290000000000001
Total road Length is:21.856435192094924 with length:2.300000000000001
Total road Length is:21.856406577037646 with length:2.3100000000000014
Total road Length is:21.856442901271585 with length:2.320000000000001
Total road Length is:21.856543953988826 with length:2.330000000000001
Total road Length is:21.85670952461628 with length:2.340000000000001
Total road Length is:21.85693940282179 with length:2.3500000000000014
Total road Length is:21.857233378520064 with length:2.360000000000001
Total road Length is:21.85759124187861 with length:2.370000000000001
Total road Length is:21.858012783323574 with length:2.3800000000000012
Total road Length is:21.85849779354549 with length:2.3900000000000015
Total road Length is:21.859046063504962 with length:2.4000000000000012
Total road Length is:21.859657384438293 with length:2.410000000000001
Total road Length is:21.860331547862994 with length:2.4200000000000013
Total road Length is:21.861068345583273 with length:2.4300000000000015
Total road Length is:21.861867569695395 with length:2.4400000000000013
Total road Length is:21.862729012593025 with length:2.450000000000001
Total road Length is:21.863652466972447 with length:2.4600000000000013
Total road Length is:21.86463772583774 with length:2.4700000000000015
Total road Length is:21.865684582505892 with length:2.4800000000000013
Total road Length is:21.866792830611793 with length:2.490000000000001
Total road Length is:21.867962264113206 with length:2.5000000000000013
Total road Length is:21.86919267729566 with length:2.5100000000000016
Total road Length is:21.87048386477723 with length:2.5200000000000014
Total road Length is:21.871835621513306 with length:2.530000000000001
Total road Length is:21.873247742801233 with length:2.5400000000000014
Total road Length is:21.87472002428494 with length:2.5500000000000016
Total road Length is:21.876252261959465 with length:2.5600000000000014
Total road Length is:21.87784425217538 with length:2.570000000000001
Total road Length is:21.879495791643222 with length:2.5800000000000014
Total road Length is:21.881206677437817 with length:2.5900000000000016
Total road Length is:21.882976707002502 with length:2.6000000000000014
Total road Length is:21.884805678153338 with length:2.610000000000001
Total road Length is:21.886693389083227 with length:2.6200000000000014
Total road Length is:21.88863963836596 with length:2.6300000000000017
Total road Length is:21.890644224960205 with length:2.6400000000000015
Total road Length is:21.89270694821343 with length:2.6500000000000012
Total road Length is:21.894827607865754 with length:2.6600000000000015
Total road Length is:21.89700600405375 with length:2.6700000000000017
Total road Length is:21.899241937314148 with length:2.6800000000000015
Total road Length is:21.901535208587514 with length:2.6900000000000013
Total road Length is:21.903885619221846 with length:2.7000000000000015
Total road Length is:21.906292970976097 with length:2.7100000000000017
Total road Length is:21.908757066023647 with length:2.7200000000000015
Total road Length is:21.91127770695573 with length:2.7300000000000013
Total road Length is:21.91385469678475 with length:2.7400000000000015
Total road Length is:21.9164878389476 with length:2.7500000000000018
Total road Length is:21.919176937308844 with length:2.7600000000000016
Total road Length is:21.921921796163915 with length:2.7700000000000014
Total road Length is:21.9247222202422 with length:2.7800000000000016
Total road Length is:21.92757801471008 with length:2.790000000000002
Total road Length is:21.930488985173923 with length:2.8000000000000016
Total road Length is:21.93345493768301 with length:2.8100000000000014
Total road Length is:21.936475678732368 with length:2.8200000000000016
Total road Length is:21.939551015265632 with length:2.830000000000002
Total road Length is:21.94268075467774 with length:2.8400000000000016
Total road Length is:21.945864704817655 with length:2.8500000000000014
Total road Length is:21.949102673991003 with length:2.8600000000000017
Total road Length is:21.952394470962645 with length:2.870000000000002
Total road Length is:21.955739904959188 with length:2.8800000000000017
Total road Length is:21.959138785671477 with length:2.8900000000000015
Total road Length is:21.962590923257 with length:2.9000000000000017
Total road Length is:21.966096128342247 with length:2.910000000000002
Total road Length is:21.969654212025006 with length:2.9200000000000017
Total road Length is:21.973264985876632 with length:2.9300000000000015
Total road Length is:21.976928261944245 with length:2.9400000000000017
Total road Length is:21.980643852752856 with length:2.950000000000002
Total road Length is:21.984411571307504 with length:2.9600000000000017
Total road Length is:21.98823123109525 with length:2.9700000000000015
Total road Length is:21.992102646087204 with length:2.9800000000000018
Total road Length is:21.996025630740466 with length:2.990000000000002
Total road Length is:22.0 with length:3.0000000000000018
Total road Length is:22.004025569300495 with length:3.0100000000000016
Total road Length is:22.00810215456815 with length:3.020000000000002
Total road Length is:22.012229572222417 with length:3.030000000000002
Total road Length is:22.016407639177707 with length:3.040000000000002
Total road Length is:22.02063617284503 with length:3.0500000000000016
Total road Length is:22.02491499113362 with length:3.060000000000002
Total road Length is:22.029243912452447 with length:3.070000000000002
Total road Length is:22.033622755711765 with length:3.080000000000002
Total road Length is:22.038051340324568 with length:3.0900000000000016
Total road Length is:22.042529486207993 with length:3.100000000000002
Total road Length is:22.04705701378471 with length:3.110000000000002
Total road Length is:22.051633743984247 with length:3.120000000000002
Total road Length is:22.05625949824426 with length:3.1300000000000017
Total road Length is:22.0609340985118 with length:3.140000000000002
Total road Length is:22.065657367244498 with length:3.150000000000002
Total road Length is:22.070429127411714 with length:3.160000000000002
Total road Length is:22.07524920249567 with length:3.1700000000000017
Total road Length is:22.080117416492502 with length:3.180000000000002
Total road Length is:22.085033593913302 with length:3.190000000000002
Total road Length is:22.089997559785118 with length:3.200000000000002
Total road Length is:22.09500913965188 with length:3.2100000000000017
Total road Length is:22.100068159575322 with length:3.220000000000002
Total road Length is:22.105174446135877 with length:3.230000000000002
Total road Length is:22.11032782643346 with length:3.240000000000002
Total road Length is:22.115528128088304 with length:3.2500000000000018
Total road Length is:22.120775179241697 with length:3.260000000000002
Total road Length is:22.126068808556695 with length:3.2700000000000022
Total road Length is:22.13140884521883 with length:3.280000000000002
Total road Length is:22.13679511893671 with length:3.290000000000002
Total road Length is:22.142227459942678 with length:3.300000000000002
Total road Length is:22.14770569899333 with length:3.3100000000000023
Total road Length is:22.1532296673701 with length:3.320000000000002
Total road Length is:22.15879919687973 with length:3.330000000000002
Total road Length is:22.16441411985475 with length:3.340000000000002
Total road Length is:22.170074269153908 with length:3.3500000000000023
Total road Length is:22.175779478162568 with length:3.360000000000002
Total road Length is:22.181529580793082 with length:3.370000000000002
Total road Length is:22.18732441148511 with length:3.380000000000002
Total road Length is:22.19316380520593 with length:3.3900000000000023
Total road Length is:22.1990475974507 with length:3.400000000000002
Total road Length is:22.204975624242707 with length:3.410000000000002
Total road Length is:22.21094772213356 with length:3.420000000000002
Total road Length is:22.21696372820336 with length:3.4300000000000024
Total road Length is:22.22302348006086 with length:3.440000000000002
Total road Length is:22.22912681584358 with length:3.450000000000002
Total road Length is:22.23527357421785 with length:3.460000000000002
Total road Length is:22.24146359437893 with length:3.4700000000000024
Total road Length is:22.247696716050992 with length:3.480000000000002
Total road Length is:22.25397277948712 with length:3.490000000000002
Total road Length is:22.2602916254693 with length:3.500000000000002
Total road Length is:22.266653095308335 with length:3.5100000000000025
Total road Length is:22.273057030843795 with length:3.5200000000000022
Total road Length is:22.279503274443854 with length:3.530000000000002
Total road Length is:22.28599166900521 with length:3.5400000000000023
Total road Length is:22.29252205795287 with length:3.5500000000000025
Total road Length is:22.29909428523998 with length:3.5600000000000023
Total road Length is:22.30570819534762 with length:3.570000000000002
Total road Length is:22.31236363328453 with length:3.5800000000000023
Total road Length is:22.319060444586874 with length:3.5900000000000025
Total road Length is:22.32579847531794 with length:3.6000000000000023
Total road Length is:22.332577572067805 with length:3.610000000000002
Total road Length is:22.339397581953023 with length:3.6200000000000023
Total road Length is:22.346258352616264 with length:3.6300000000000026
Total road Length is:22.353159732225897 with length:3.6400000000000023
Total road Length is:22.360101569475617 with length:3.650000000000002
Total road Length is:22.367083713583995 with length:3.6600000000000024
Total road Length is:22.37410601429403 with length:3.6700000000000026
Total road Length is:22.38116832187268 with length:3.6800000000000024
Total road Length is:22.38827048711036 with length:3.690000000000002
Total road Length is:22.395412361320446 with length:3.7000000000000024
Total road Length is:22.402593796338696 with length:3.7100000000000026
Total road Length is:22.409814644522733 with length:3.7200000000000024
Total road Length is:22.417074758751454 with length:3.730000000000002
Total road Length is:22.42437399242444 with length:3.7400000000000024
Total road Length is:22.43171219946131 with length:3.7500000000000027
Total road Length is:22.439089234301136 with length:3.7600000000000025
Total road Length is:22.44650495190175 with length:3.7700000000000022
Total road Length is:22.453959207739075 with length:3.7800000000000025
Total road Length is:22.461451857806466 with length:3.7900000000000027
Total road Length is:22.468982758613958 with length:3.8000000000000025
Total road Length is:22.47655176718757 with length:3.8100000000000023
Total road Length is:22.484158741068555 with length:3.8200000000000025
Total road Length is:22.49180353831263 with length:3.8300000000000027
Total road Length is:22.499486017489225 with length:3.8400000000000025
Total road Length is:22.507206037680653 with length:3.8500000000000023
Total road Length is:22.51496345848133 with length:3.8600000000000025
Total road Length is:22.52275813999694 with length:3.8700000000000028
Total road Length is:22.530589942843598 with length:3.8800000000000026
Total road Length is:22.53845872814698 with length:3.8900000000000023
Total road Length is:22.546364357541478 with length:3.9000000000000026
Total road Length is:22.554306693169288 with length:3.910000000000003
Total road Length is:22.56228559767954 with length:3.9200000000000026
Total road Length is:22.570300934227348 with length:3.9300000000000024
Total road Length is:22.578352566472905 with length:3.9400000000000026
Total road Length is:22.586440358580546 with length:3.950000000000003
Total road Length is:22.594564175217783 with length:3.9600000000000026
Total road Length is:22.602723881554333 with length:3.9700000000000024
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Length is: 2.3100000000000014

Minimum Road Length is: 21.856406577037646

Delta is: 0.001

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Length is: 2.308999999999856

Minimum Road Length is: 21.85640651279494