From 55e40e10720aaf18de95194ea0af03ad154ee48d Mon Sep 17 00:00:00 2001 From: joshchea Date: Mon, 28 Dec 2015 09:49:50 -0800 Subject: [PATCH 01/31] added nested choice flat calculation for ABM applications --- scripts/CalcLogitChoice.py | 85 +++++++++++++++++++++++++++++++++++++- 1 file changed, 83 insertions(+), 2 deletions(-) diff --git a/scripts/CalcLogitChoice.py b/scripts/CalcLogitChoice.py index da03029..8638ec6 100644 --- a/scripts/CalcLogitChoice.py +++ b/scripts/CalcLogitChoice.py @@ -3,8 +3,8 @@ # Purpose: Utilities for various calculations of different types of choice models. # a) CalcMultinomialChoice : Calculates a multinomial choice model probability given a dictionary of mode utilities # b) CalcPivotPoint : Calculates pivot point choice probability given base utilities, current utilities and base proabilities -# e) CalcNestedChoice : Calculates n-level nested mode choice probabilities given dictionary with tree definition, matrix references and number of zones -# f) TODO: CalcNestedChoiceFlat : Calculate nested choice on flat array so it can be used for stuff like microsim ABM etc... e) can in general be easily modified for this +# c) CalcNestedChoice : Calculates n-level nested mode choice probabilities given dictionary with tree definition, matrix references and number of zones +# d) TODO: CalcNestedChoiceFlat : Calculate nested choice on flat array so it can be used for stuff like microsim ABM etc... e) can in general be easily modified for this # **All input vectors are expected to be numpy arrays # # Author: Chetan Joshi, Portland OR @@ -162,11 +162,92 @@ def CalcNestedChoice(TreeDefn, MatRefs, numZn, getLogSumAccess = 0): return ProbMats else: return ProbMats, MatRefs['ROOT'] + + +def CalcNestedChoiceFlat(TreeDefn, MatRefs, vecLen, getLogSumAccess = 0): + ''' + #TreeDefn = {(0,'ROOT'):[1.0,['AU', 'TR', 'AC']], + # (1,'AU'):[0.992,['CD', 'CP']], + # (1,'TR'):[0.992,['TB', 'TP']], + # (1,'AC'):[0.992,['BK', 'WK']]} + # + #Key-> (Level ID, Level Code): Values-> (LogSum Parameter enters as: 1/lambda, SubLevel IDs) + # ROOT should always be ID = 0 and Code = 'ROOT' + # ROOT + # / | \ + # / | \ + # / | \ + # AU TR AC(logsum parameter) + # /\ /\ /\ + # CD CP TB TP BK WK + # + #MatRefs = {'ROOT': 1.0, 'AU':0, 'TR':0, 'AC':0, + # 'CD':Ucd), 'CP':Ucp), + # 'TB':Utb), 'TP':Utp), + # 'BK':Ubk), 'WK':Uwk)} Stores utilities in dict of vectors, base level utilities are pre-specified!! + # + #vecLen = number of od pairs being evaluated + # + #getLogSumAccess (optional, accessibility log sum) 0=no, <>0=yes + ''' + #ProbMats = {'ROOT': 1.0, 'AU':0, 'TR':0, 'AC':0, 'CD':0, 'CP':0, 'TB':0, 'TP':0, 'BK':0, 'WK':0} #Stores probabilities at each level + #TripMat = GetMatrixRaw(Visum, tripmatno) #--> Input trip distribution matrix + #numZn = Visum.Net.Zones.Count + ProbMats = dict(zip(MatRefs.keys(), numpy.zeros(len(MatRefs.keys())))) + ProbMats['ROOT'] = 1.0 + #Utility calculator going up... + #print 'Getting logsums and utilities...' + for key in sorted(TreeDefn.keys(), reverse= True): + #print key, TreeDefn[key] + sumExp = numpy.zeros(vecLen) + sublevelmat_codes = TreeDefn[key][1] #produces --> ex. ['WB', 'WX', 'DX'] + + for code in sublevelmat_codes: + #print ([code, TreeDefn[key][0]]) + MatRefs[code] = MatRefs[code]/TreeDefn[key][0] #---> scale the utility + sumExp+=numpy.exp(MatRefs[code]) + lnSum = sumExp.copy() #Maybe there is a better way of doing the next 4 steps in 1 shot + lnSum[sumExp == 0] = 0.000000001 + lnSum = numpy.log(lnSum) + lnSum[sumExp == 0] = -999 + MatRefs[key[1]] = TreeDefn[key][0]*lnSum #---> Get ln sum of sublevel + + #Probability going down... + #print 'Getting probabilities...' + for key in sorted(TreeDefn.keys()): + #print key, TreeDefn[key] + eU_total = numpy.zeros(vecLen) + sublevelmat_codes = TreeDefn[key][1] #1st set--> ROOT : AU, TR + for code in sublevelmat_codes: + #print ([code, TreeDefn[key][0]]) + eU_total+=numpy.exp(MatRefs[code]) + + eU_total[eU_total == 0] = 0.0001 #Avoid divide by 0 error +## for code in sublevelmat_codes: +## ProbMats[code] = ProbMats[key[1]]*numpy.exp(MatRefs[code])/eU_total + nSublevels = len(sublevelmat_codes) + cumProb = 0 + for i in xrange(nSublevels - 1): + code = sublevelmat_codes[i] + temp = numpy.exp(MatRefs[code])/eU_total + ProbMats[code] = ProbMats[key[1]]*temp + cumProb+=temp + code = sublevelmat_codes[i+1] + ProbMats[code] = ProbMats[key[1]]*(1.0-cumProb) + + if getLogSumAccess == 0: + return ProbMats + else: + return ProbMats, MatRefs['ROOT'] + #some generic utilities for reading and writing numpy arrays to disk.. def GetMatrix(fn, numZn): return numpy.fromfile(fn).reshape((numZn, numZn)) +def GetMatrixFlat(fn): + return numpy.fromfile(fn) + def PushMatrix(fn, mat): mat.tofile(fn) From a3bcbacd57d61c314a21f91195a4d15967f81440 Mon Sep 17 00:00:00 2001 From: Chetan Joshi Date: Mon, 28 Dec 2015 10:35:15 -0800 Subject: [PATCH 02/31] Update README.md --- README.md | 7 ++++--- 1 file changed, 4 insertions(+), 3 deletions(-) diff --git a/README.md b/README.md index e5a3960..3ffc1bc 100644 --- a/README.md +++ b/README.md @@ -48,9 +48,10 @@ probability given base utilities, current utilities and base proabilities

probabilities given dictionary with tree definition, matrix references and number of zones

-

d) TODO: CalcNestedChoiceFlat : Calculate nested choice on -flat array so it can be used for stuff like microsim ABM etc... c above can in -general be easily modified for this

+

d) CalcNestedChoiceFlat : Calculate nested choice on +flat array so it can be used for stuff like microsim ABM etc. usage is same as c) +but inputs are flat arrays instead of square matrices and length of vector/s instead of +number of zones

Have fun!

From 78f5a692d4f41920f3abc77d8859029cda6359e9 Mon Sep 17 00:00:00 2001 From: joshchea Date: Thu, 7 Jan 2016 10:47:50 -0800 Subject: [PATCH 03/31] added new script for pushing DaySim trip data to sqlite db --- scripts/LoadDaySimTrips.py | 73 ++++++++++++++++++++++++++++++++++++++ 1 file changed, 73 insertions(+) create mode 100644 scripts/LoadDaySimTrips.py diff --git a/scripts/LoadDaySimTrips.py b/scripts/LoadDaySimTrips.py new file mode 100644 index 0000000..879e3ec --- /dev/null +++ b/scripts/LoadDaySimTrips.py @@ -0,0 +1,73 @@ +#----------------------------------------------------------------------------------------------------------------------------------------------------------------------# +# Name: LoadDaySimTrips +# Purpose: Loads key info: otaz, dtaz, deptm, arrtm, mode, half, etrps to a sqlite database for running queries +# This function is useful for checking information coming out of DaySim. +# Author: Chetan Joshi, Portland OR +# Dependencies:csv, sqlite3, time +# Created: 1/7/2016 +# +# Copyright: (c) Chetan Joshi 2016 +# Licence: Permission is hereby granted, free of charge, to any person obtaining a copy +# of this software and associated documentation files (the "Software"), to deal +# in the Software without restriction, including without limitation the rights +# to use, copy, modify, merge, publish, distribute, sublicense, and/or sell +# copies of the Software, and to permit persons to whom the Software is +# furnished to do so, subject to the following conditions: +# +# The above copyright notice and this permission notice shall be included in all +# copies or substantial portions of the Software. +# +# THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR +# IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, +# FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE +# AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER +# LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, +# OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE +# SOFTWARE. +#--------------------------------------------------------------------------------------------------------------------------------------------------------------------# +import csv +import sqlite3 +import time + +def GetDaySimTripsDB(daysimtripfilepath): + '''usage: -> put the script in python site packages and then use as below + import LoadDaySimTrips + conn, trip_data = LoadDaySimTrips.GetDaySimTripsDB(daysimtripfilepath) + + daysimtripfilepath = full path and file name for the daysim trips file + conn = connection to db + trip_data = db table + *the db is an in memory db + + For details on using sqlite and db queries, see: https://docs.python.org/2/library/sqlite3.html# + ''' + start = time.time() + print 'Start reading daysim trips...' + #tripsfile = open(r'C:\Projects\DVRPC Model\Visum\PA\Output\_trip_2.dat', 'rb') #Check this path... + tripsfile = open(daysimtripfilepath, 'rb') + reader = csv.reader(tripsfile, delimiter='\t') + + header = reader.next() + ix = dict(zip(header, range(0, len(header)))) + + conn = sqlite3.connect(':memory:') + trip_data = conn.cursor() + trip_data.execute("CREATE TABLE trips(otaz INT, dtaz INT, deptm INT, arrtm INT, mode INT, half INT, etrps DOUBLE)") + conn.commit() + + for row in reader: + otaz = int(row[ix['otaz']]) + dtaz = int(row[ix['dtaz']]) + deptm = int(row[ix['deptm']]) + arrtm = int(row[ix['arrtm']]) + mode = int(row[ix['mode']]) + half = int(row[ix['half']]) + etrps = 1.0*float(row[ix['trexpfac']]) #expanded trips + trip_data.execute("insert into trips values ((?),(?),(?),(?), (?), (?), (?))",(otaz, dtaz, deptm, arrtm, mode, half, etrps)) + conn.commit() + + tripsfile.close() + print 'Finished pushing trips to sqlite db in ', time.time()-start, 'secs' + return conn, trip_data + + From 7b4f9411de387dd52fc4260b724bbdbc4d8712ef Mon Sep 17 00:00:00 2001 From: Chetan Joshi Date: Fri, 7 Oct 2016 11:18:57 -0700 Subject: [PATCH 04/31] Update CalcLogitChoice.py BaseUtils is not really needed if Utils is provided as the diff in Utils, which should be easy. So script is updated accordingly. Seems like an older half incorrect version of the function was sitting here. --- scripts/CalcLogitChoice.py | 9 +++------ 1 file changed, 3 insertions(+), 6 deletions(-) diff --git a/scripts/CalcLogitChoice.py b/scripts/CalcLogitChoice.py index 8638ec6..6fe7677 100644 --- a/scripts/CalcLogitChoice.py +++ b/scripts/CalcLogitChoice.py @@ -61,12 +61,9 @@ def CalcMultinomialChoice(Utils, getLogSumAccess = 0): else: return Probs, lnSumAccess -def CalcPivotPoint(BaseUtils, Utils, Po): +def CalcPivotPoint(Utils, Po): ''' - BaseUtils = Base utility matrices in a dictionary - ex. BaseUtils = {'auto':mat1, 'transit':mat2, 'bike':mat3, 'walk':mat4} - - Utils = Updated utility matrices in a dictionary + Utils = Updated delta utility matrices in a dictionary i.e delta of Uk (k = mode) ex. Utils = {'auto':mat1, 'transit':mat2, 'bike':mat3, 'walk':mat4} Po = Base probabilities in a dictionary @@ -286,4 +283,4 @@ def PushMatrix(fn, mat): ##print 'Calculation completed.' ##print 'Time taken(secs): ', time.time()-start - \ No newline at end of file + From 3778b93417c9fc3c2452ba2f6dd425ee6eb33649 Mon Sep 17 00:00:00 2001 From: Chetan Joshi Date: Tue, 29 Aug 2017 00:16:56 -0700 Subject: [PATCH 05/31] Update CalcLogitChoice.py updated description for flat nested mode choice calculation --- scripts/CalcLogitChoice.py | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/scripts/CalcLogitChoice.py b/scripts/CalcLogitChoice.py index 6fe7677..c3732d9 100644 --- a/scripts/CalcLogitChoice.py +++ b/scripts/CalcLogitChoice.py @@ -4,7 +4,7 @@ # a) CalcMultinomialChoice : Calculates a multinomial choice model probability given a dictionary of mode utilities # b) CalcPivotPoint : Calculates pivot point choice probability given base utilities, current utilities and base proabilities # c) CalcNestedChoice : Calculates n-level nested mode choice probabilities given dictionary with tree definition, matrix references and number of zones -# d) TODO: CalcNestedChoiceFlat : Calculate nested choice on flat array so it can be used for stuff like microsim ABM etc... e) can in general be easily modified for this +# d) CalcNestedChoiceFlat : Calculate nested choice on flat array so it can be used for stuff like microsim ABM etc... e) can in general be easily modified for this # **All input vectors are expected to be numpy arrays # # Author: Chetan Joshi, Portland OR From 71271214084e352e6f115f7db655c843c1472a2e Mon Sep 17 00:00:00 2001 From: Chetan Joshi Date: Wed, 13 Dec 2017 07:48:11 -0800 Subject: [PATCH 06/31] Matrix Estimation with Gradient Method Script for OD-matrix estimation with least squares formulation, solution method is via Gradient descent applied with sparse matrices. Distance measure - difference in counts and assigned model flows and OD cells from seed and current adjusted matrix. Requires - numpy and scipy | flow matrix obtained from Visum -> user should construct their own if not using other tool for assignment. --- scripts/MatEstimateGradient.py | 111 +++++++++++++++++++++++++++++++++ 1 file changed, 111 insertions(+) create mode 100644 scripts/MatEstimateGradient.py diff --git a/scripts/MatEstimateGradient.py b/scripts/MatEstimateGradient.py new file mode 100644 index 0000000..703614a --- /dev/null +++ b/scripts/MatEstimateGradient.py @@ -0,0 +1,111 @@ +import numpy as np +import scipy.sparse +import VisumPy.helpers as VPH +import csv +import time +#Least squares matrix estimation with gradient method - Chetan Joshi, Klaus Noekel + +#------------User input -----------------------------------------------------------------# +matno = 41 # seed mat and also where result is stored +countAttrID = "AddVal1" +wtAttrID = "AddVal2" +wtOD = 42 +flowmatfile = r"C:\Projects\KA_Work\LSODME\FlowMatrix.mtx" +#----------------------------------------------------------------------------------------# + +#Matrix estimation function: takes flow prportion matrix, OD seed, Count and returns adjusted matrix: Chetan Joshi, updated by Klaus Noekel +def EstimateMatrix(FlowProp, FlowPropT, OD_Flows, Ca, Wt, iter=25): + #Va = numpy.sum(OD_Flows[:,numpy.newaxis] * FlowProp, axis=0) + #Wt[Wt < 1] = 1 + Va = FlowPropT.dot(OD_Flows) + Visum.WriteToTrace('Length of Va' + str(len(Va))) + Visum.WriteToTrace('Length of Ca' + str(len(Ca))) + Z = sum((Va-Ca)**2) + Visum.WriteToTrace('Starting Z =' + str(Z)) + #print 'Starting Z =', Z + + for i in range(1, iter): + t1 = time.time() +# Grad = numpy.sum(FlowProp*(Va - Ca), axis=1) # sum over a in A + Grad = FlowProp.dot((Va - Ca)*Wt) +# Va_prime = numpy.sum( -OD_Flows[:,numpy.newaxis] * Grad[:,numpy.newaxis] * FlowProp, axis=0) + Va_prime = FlowPropT.dot(-OD_Flows * Grad) + lambda_opt = sum((Ca - Va)*Va_prime)/sum(Va_prime*Va_prime) + if Grad.max()> 0: + lambda_opt = min(lambda_opt, 1/Grad.max()) + OD_Flows = OD_Flows*(1 - lambda_opt*Grad) #variant - 1.1 + OD_Flows[OD_Flows<0]=0 #remove very small -0.0 values from matrix if any... + Va = FlowPropT.dot(OD_Flows) + Z = sum((Va-Ca)**2) + t2 = time.time() + if Z < 1: + break; + else: + Visum.WriteToTrace(str(i) + ': Z =' + str(Z), True) + #Visum.WriteToTrace( 'Z =', Z, ' time = ', t2-t1 + + Visum.WriteToTrace('Final Z =' + str(Z), True) + #print 'Final Z =', Z + return OD_Flows + +def readFlowMat(nODs, nLinks, filename): + t1 = time.time() + with open(filename, "rb") as f: + reader = csv.reader(f, delimiter='\t') + for i in xrange(0, 12): + reader.next() + i = [] + j = [] + data = [] + for row in reader: #each row = CountIndex \t ODIndex \t proportion + if row[0] == "": continue + if row[0].startswith("*"): continue + if row[0].startswith("0"): continue + i.append(long(row[1])-1) + j.append(long(row[0])-1) + data.append(float(row[2])) + + ix = j[-1] + 1 + z = max(i) + for k in xrange(len(Sparse_OD)): + # j-> link + i.append(long(k)) #index of od pair + j.append(long(ix))#index of link + data.append(1.0) + ix+=1 + + FlowProp = scipy.sparse.csr_matrix((data, (i,j)), shape=(len(Sparse_OD), nLinks+nODs), dtype='d') + #Visum.WriteToTrace([[k, z, i[-1],j[-1]], [len(i), len(j)]]) + t2 = time.time() + Visum.WriteToTrace("read flow mat: " + str(t2-t1) , True) + + return FlowProp + +#-------------------------------------------------------------------------------------------------------- +Ca = np.array(VPH.GetMulti(Visum.Net.Links, countAttrID, True)) +Wt = np.array(VPH.GetMulti(Visum.Net.Links, wtAttrID, True)) +AssignedOD = VPH.GetMatrixRaw(Visum, matno).flatten() #Get the flattened seed matrix +WeightOD = VPH.GetMatrixRaw(Visum, wtOD).flatten() #Get the flattened weight matrix +SparseWeightOD = WeightOD.compress(AssignedOD > 0).copy() +Sparse_OD = AssignedOD.compress(AssignedOD > 0).copy() #Get only cells > 0 to reduce array size +nLinks = Visum.Net.Links.CountActive # Get the number of active links based on filter - will be extended to turns if turns are used +#OD_constraint_block = numpy.identity(len(Sparse_OD)) +Ca = np.append(Ca, Sparse_OD) #Extend the count array to include delta with the existing OD matrix on the least squares formulation +#Wt = np.append(Wt, np.ones(len(Sparse_OD))) #Extend the weight array for weight matrix using default of 1.0, should be changed to +Wt = np.append(Wt, SparseWeightOD) #Extend the weight array for weight matrix using default of 1.0, weight matrix values should be varied for testing + +FlowProp = readFlowMat(len(Sparse_OD), nLinks, flowmatfile) +FlowPropT = scipy.sparse.csc_matrix(FlowProp.T) + +Visum.WriteToTrace(FlowPropT.shape) +Visum.WriteToTrace(FlowProp.shape) + +NewODFlows = EstimateMatrix(FlowProp, FlowPropT, Sparse_OD, Ca, Wt, iter=25) + +#Set back result to Visum... +AssignedOD[AssignedOD>0] = NewODFlows +nZones = Visum.Net.Zones.Count +VPH.SetMatrixRaw(Visum, matno, AssignedOD.reshape((nZones,nZones))) +Visum.WriteToTrace("results stored" , True) +del FlowProp +del FlowPropT From 3df4c27ccdd6b6826b48a4abbafff731c7d627e1 Mon Sep 17 00:00:00 2001 From: Chetan Joshi Date: Fri, 15 Dec 2017 11:00:22 -0800 Subject: [PATCH 07/31] Update MatEstimateGradient.py --- scripts/MatEstimateGradient.py | 29 +++++++++++++++++++++++++++++ 1 file changed, 29 insertions(+) diff --git a/scripts/MatEstimateGradient.py b/scripts/MatEstimateGradient.py index 703614a..e6ca5d7 100644 --- a/scripts/MatEstimateGradient.py +++ b/scripts/MatEstimateGradient.py @@ -1,3 +1,32 @@ +#----------------------------------------------------------------------------------------------------------------------------------------------------------------------# +# Name: MatEstimateGradient +# Purpose: OD-matrix estimation with least squares formulation, solution method is with gradient method. See Spiess 1990 +# **All input vectors are expected to be numpy arrays, some data exchange steps use methods from Visum for which this +# script was prototyped. User should replace that with appropriately. +# +# Author: Chetan Joshi, Portland OR +# Dependencies:numpy [http://www.numpy.org], scipy [https://www.scipy.org/], time +# Created: 12/14/2017 +# +# Copyright: (c) Chetan Joshi 2017 +# Licence: Permission is hereby granted, free of charge, to any person obtaining a copy +# of this software and associated documentation files (the "Software"), to deal +# in the Software without restriction, including without limitation the rights +# to use, copy, modify, merge, publish, distribute, sublicense, and/or sell +# copies of the Software, and to permit persons to whom the Software is +# furnished to do so, subject to the following conditions: +# +# The above copyright notice and this permission notice shall be included in all +# copies or substantial portions of the Software. +# +# THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR +# IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, +# FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE +# AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER +# LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, +# OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE +# SOFTWARE. +#--------------------------------------------------------------------------------------------------------------------------------------------------------------------# import numpy as np import scipy.sparse import VisumPy.helpers as VPH From bf48dbe62cd487f3c89ce83ab4e87a9e0c6c7cf8 Mon Sep 17 00:00:00 2001 From: Chetan Joshi Date: Fri, 15 Dec 2017 14:35:04 -0800 Subject: [PATCH 08/31] Update MatEstimateGradient.py --- scripts/MatEstimateGradient.py | 6 ------ 1 file changed, 6 deletions(-) diff --git a/scripts/MatEstimateGradient.py b/scripts/MatEstimateGradient.py index e6ca5d7..432f21e 100644 --- a/scripts/MatEstimateGradient.py +++ b/scripts/MatEstimateGradient.py @@ -44,8 +44,6 @@ #Matrix estimation function: takes flow prportion matrix, OD seed, Count and returns adjusted matrix: Chetan Joshi, updated by Klaus Noekel def EstimateMatrix(FlowProp, FlowPropT, OD_Flows, Ca, Wt, iter=25): - #Va = numpy.sum(OD_Flows[:,numpy.newaxis] * FlowProp, axis=0) - #Wt[Wt < 1] = 1 Va = FlowPropT.dot(OD_Flows) Visum.WriteToTrace('Length of Va' + str(len(Va))) Visum.WriteToTrace('Length of Ca' + str(len(Ca))) @@ -55,9 +53,7 @@ def EstimateMatrix(FlowProp, FlowPropT, OD_Flows, Ca, Wt, iter=25): for i in range(1, iter): t1 = time.time() -# Grad = numpy.sum(FlowProp*(Va - Ca), axis=1) # sum over a in A Grad = FlowProp.dot((Va - Ca)*Wt) -# Va_prime = numpy.sum( -OD_Flows[:,numpy.newaxis] * Grad[:,numpy.newaxis] * FlowProp, axis=0) Va_prime = FlowPropT.dot(-OD_Flows * Grad) lambda_opt = sum((Ca - Va)*Va_prime)/sum(Va_prime*Va_prime) if Grad.max()> 0: @@ -71,10 +67,8 @@ def EstimateMatrix(FlowProp, FlowPropT, OD_Flows, Ca, Wt, iter=25): break; else: Visum.WriteToTrace(str(i) + ': Z =' + str(Z), True) - #Visum.WriteToTrace( 'Z =', Z, ' time = ', t2-t1 Visum.WriteToTrace('Final Z =' + str(Z), True) - #print 'Final Z =', Z return OD_Flows def readFlowMat(nODs, nLinks, filename): From fb205c4751bc0a8008d60eb8d82aba33a785a880 Mon Sep 17 00:00:00 2001 From: Chetan Joshi Date: Sun, 25 Feb 2018 08:12:53 -0800 Subject: [PATCH 09/31] Update LoadDaySimTrips.py added a TO DO to use executemany instead of calling execute n times... --- scripts/LoadDaySimTrips.py | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/scripts/LoadDaySimTrips.py b/scripts/LoadDaySimTrips.py index 879e3ec..ebc14a1 100644 --- a/scripts/LoadDaySimTrips.py +++ b/scripts/LoadDaySimTrips.py @@ -55,7 +55,7 @@ def GetDaySimTripsDB(daysimtripfilepath): trip_data.execute("CREATE TABLE trips(otaz INT, dtaz INT, deptm INT, arrtm INT, mode INT, half INT, etrps DOUBLE)") conn.commit() - for row in reader: + for row in reader: #TO DO: Load data into temp array and push all of it together using -> executemany(...) otaz = int(row[ix['otaz']]) dtaz = int(row[ix['dtaz']]) deptm = int(row[ix['deptm']]) From 8eaab4cd20fa5edc50d80658ee6c9bd4dcb029aa Mon Sep 17 00:00:00 2001 From: Chetan Joshi Date: Wed, 18 Apr 2018 07:51:41 -0700 Subject: [PATCH 10/31] Update README.md added matrix estimation (ODME) script description --- README.md | 4 ++++ 1 file changed, 4 insertions(+) diff --git a/README.md b/README.md index 3ffc1bc..ce7e83a 100644 --- a/README.md +++ b/README.md @@ -53,5 +53,9 @@ flat array so it can be used for stuff like microsim ABM etc. usage is same as c but inputs are flat arrays instead of square matrices and length of vector/s instead of number of zones

+

Matrix estimation (ODME):

+ +

a) MatEstimateGradient : Performs synthetic matrix estimation using a least squares formulation. The solution algorithm is gradient descent (see Spiess, H., "A GRADIENT APPROACH FOR THE O-D MATRIX ADJUSTMENT PROBLEM", Publication 693, CRT, University of Montreal, 1990.)

+

Have fun!

From 363829c6a9ebbe8e7d1f2038a9b5c5e0a9c82a86 Mon Sep 17 00:00:00 2001 From: Chetan Joshi Date: Wed, 25 Apr 2018 07:28:11 -0700 Subject: [PATCH 11/31] Update daysim loader added two variants - a. commit one line at a time - relatively safe method for cell by cell handling of bad data b. commit the entire db at once from an accululated tuple b. runs in half the time as a --- scripts/LoadDaySimTrips.py | 118 ++++++++++++++++++++++++++++++++----- 1 file changed, 104 insertions(+), 14 deletions(-) diff --git a/scripts/LoadDaySimTrips.py b/scripts/LoadDaySimTrips.py index ebc14a1..47aa767 100644 --- a/scripts/LoadDaySimTrips.py +++ b/scripts/LoadDaySimTrips.py @@ -29,7 +29,7 @@ import sqlite3 import time -def GetDaySimTripsDB(daysimtripfilepath): +def GetDaySimTripsDB1(daysimtripfilepath): '''usage: -> put the script in python site packages and then use as below import LoadDaySimTrips conn, trip_data = LoadDaySimTrips.GetDaySimTripsDB(daysimtripfilepath) @@ -45,29 +45,119 @@ def GetDaySimTripsDB(daysimtripfilepath): print 'Start reading daysim trips...' #tripsfile = open(r'C:\Projects\DVRPC Model\Visum\PA\Output\_trip_2.dat', 'rb') #Check this path... tripsfile = open(daysimtripfilepath, 'rb') - reader = csv.reader(tripsfile, delimiter='\t') + reader = csv.DictReader(tripsfile, delimiter='\t') + + conn = sqlite3.connect(':memory:') + trip_data = conn.cursor() + trip_data.execute("CREATE TABLE trips(otaz INT, dtaz INT, deptm INT, arrtm INT, mode INT, half INT, etrps DOUBLE)") + conn.commit() + + for row in reader: #assuming data might have some issues + try: + otaz = int(row['otaz']) + dtaz = int(row['dtaz']) + deptm = int(row['deptm']) + arrtm = int(row['arrtm']) + mode = int(row['mode']) + half = int(row['half']) + etrps = 1.0*float(row['trexpfac']) #expanded trips + except: + print 'Could not batch - ', row + + try: + trip_data.execute("insert into trips values ((?),(?),(?),(?), (?), (?), (?))",(otaz, dtaz, deptm, arrtm, mode, half, etrps)) + conn.commit() + except: + print 'Could not commit - ', row + + tripsfile.close() + print 'Finished pushing trips to sqlite db in ', time.time()-start, 'secs' + return conn, trip_data - header = reader.next() - ix = dict(zip(header, range(0, len(header)))) + +def GetDaySimTripsDB2(daysimtripfilepath): + '''usage: -> put the script in python site packages and then use as below + import LoadDaySimTrips + conn, trip_data = LoadDaySimTrips.GetDaySimTripsDB(daysimtripfilepath) + + daysimtripfilepath = full path and file name for the daysim trips file + conn = connection to db + trip_data = db table + *the db is an in memory db + + For details on using sqlite and db queries, see: https://docs.python.org/2/library/sqlite3.html# + ''' + start = time.time() + print 'Start reading daysim trips...' + #tripsfile = open(r'C:\Projects\DVRPC Model\Visum\PA\Output\_trip_2.dat', 'rb') #Check this path... + tripsfile = open(daysimtripfilepath, 'rb') + reader = csv.DictReader(tripsfile, delimiter='\t') conn = sqlite3.connect(':memory:') trip_data = conn.cursor() trip_data.execute("CREATE TABLE trips(otaz INT, dtaz INT, deptm INT, arrtm INT, mode INT, half INT, etrps DOUBLE)") conn.commit() - for row in reader: #TO DO: Load data into temp array and push all of it together using -> executemany(...) - otaz = int(row[ix['otaz']]) - dtaz = int(row[ix['dtaz']]) - deptm = int(row[ix['deptm']]) - arrtm = int(row[ix['arrtm']]) - mode = int(row[ix['mode']]) - half = int(row[ix['half']]) - etrps = 1.0*float(row[ix['trexpfac']]) #expanded trips - trip_data.execute("insert into trips values ((?),(?),(?),(?), (?), (?), (?))",(otaz, dtaz, deptm, arrtm, mode, half, etrps)) - conn.commit() + #data = [[row['otaz'], row['dtaz'], row['deptm'], row['arrtm'], row['mode'], row['half'], 1.0*float(row['trexpfac'])] for row in reader] # alternative list comprehension + data = [] + for row in reader: #TO DO: Load data into temp array and push all of it together using -> executemany(...) + data.append([int(row['otaz']), int(row['dtaz']), int(row['deptm']), int(row['arrtm']), int(row['mode']), int(row['half']), 1.0*float(row['trexpfac'])]) tripsfile.close() + + data = map(tuple, data) # not sure if it is really needed... need to check proper way to do this + trip_data.executemany("insert into trips values (?,?,?,?,?,?,?)", data) + conn.commit() + del data + print 'Finished pushing trips to sqlite db in ', time.time()-start, 'secs' return conn, trip_data + +#--- usage | in general the first variant takes twice the time, but examines each row one at a time -------- # +dsfile = r"C:\Projects\Tests\data\_trip_2.dat" +## +##cnxn, trip_dat = GetDaySimTripsDB1(dsfile) +## +##del cnxn, trip_dat + +cnxn, trip_dat = GetDaySimTripsDB2(dsfile) + +del cnxn, trip_dat + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + From 2061c18efb6bfcd86da0e3d0c477f42020584cff Mon Sep 17 00:00:00 2001 From: Chetan Joshi Date: Wed, 2 May 2018 11:23:16 -0700 Subject: [PATCH 12/31] New scripts added added scripts for logit choice park n ride with capacities and gravity model calibration --- scripts/CalcParkRideCap.py | 93 +++++++++++++++++++++++++++++++++++++ scripts/CalibrateGravity.py | 51 ++++++++++++++++++++ 2 files changed, 144 insertions(+) create mode 100644 scripts/CalcParkRideCap.py create mode 100644 scripts/CalibrateGravity.py diff --git a/scripts/CalcParkRideCap.py b/scripts/CalcParkRideCap.py new file mode 100644 index 0000000..335f83a --- /dev/null +++ b/scripts/CalcParkRideCap.py @@ -0,0 +1,93 @@ +#------------------------------------------------------------------------------- +# Name: Capacity constrained park and ride with logit choice +# Purpose: Computes park and ride lot choice between OD pairs using a logit choice model and +# using capacity constraint defined on a Zone attribute vector | change references to Visum as needed +# Author: Chetan Joshi, Portland OR +# +# Created: 5/6/2015 +# +# Copyright: (c) Chetan Joshi 2015 +# Licence: Permission is hereby granted, free of charge, to any person obtaining a copy +# of this software and associated documentation files (the "Software"), to deal +# in the Software without restriction, including without limitation the rights +# to use, copy, modify, merge, publish, distribute, sublicense, and/or sell +# copies of the Software, and to permit persons to whom the Software is +# furnished to do so, subject to the following conditions: +# +# The above copyright notice and this permission notice shall be included in all +# copies or substantial portions of the Software. +# +# THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR +# IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, +# FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE +# AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER +# LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, +# OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE +# SOFTWARE. +#------------------------------------------------------------------------------- + +import numpy +import VisumPy.helpers as h #only needed to pull matrices from Visum... +import time +start = time.time() + +def ComputeRouteMats(ImpPrT, ImpPuT, Zk, Pk, MainTrips, result1, result2, numiter): + ImpPrT = ImpPrT.compress(Zk, 1) #Compress i -> k impedance + ImpPuT = ImpPuT.compress(Zk, 1) #Compress k -> j impedance + OTrips = MainTrips.sum(1) + Ck = Pk.copy() + Pk[:] = 1.0 + for iter in xrange(0, numiter): + Leg1 = numpy.zeros((len(Zk), len(Pk))) + Leg2 = numpy.zeros((len(Pk), len(Zk))) + for i in xrange(0, len(Zk)): + if OTrips[i] > 0: + Uikj = Pk * ImpPrT[i,:] * ImpPuT + Uij = Uikj.sum(1) + Pikj = Uikj.transpose() / Uij + Tikj = MainTrips[i,:] * Pikj + Leg1[i,:]+=Tikj.sum(1) + Leg2+=Tikj #--> this need not be computed till last iteration but is done for some testing + Ak = Leg1.sum(0)/Ck + #Ak[Ak < 1] = 1 + Pk = Pk/Ak #--> update lot attractivity ratios, there is another alternative to this, cap Ak to min 1, would be interesting to know its effect perhaps for choice of pnr lot + Visum.WriteToTrace('Finished iteration: '+str(iter+1)) + ExpandedLeg1 = numpy.zeros((len(Zk), len(Zk))) + ExpandedLeg2 = numpy.zeros((len(Zk), len(Zk))) + cnt = 0 + for k in range(0, len(Zk)): + if Zk[k] > 0: + ExpandedLeg1[:,k] = Leg1[:,cnt] + ExpandedLeg2[k,:] = Leg2[cnt,:] + cnt+=1 + if result1 <> 0: + h.SetMatrixRaw(Visum, result1, ExpandedLeg1) #instead of doing this ... the matrices can simply be returned + if result2 <> 0: + h.SetMatrixRaw(Visum, result2, ExpandedLeg2) #instead of doing this ... the matrices can simply be returned + del Leg1, Leg2, ExpandedLeg1, ExpandedLeg2 + +Visum.WriteToTrace('Started PnR calculation...') +#------------------------USAGE---------------------------------------------------------------------------------------# +# note the references to Visum and change as needed... +a = -0.1 #Change this disutility coefficient as needed +w = 0.1 #Change the weight as needed, hint: higher weight -> driving further out but less out of line, lower weight -> driving to closer lot, possibly a bit out of line +aumat = 210 #Auto impedance matrix no +trmat = 490 #Transit impedance matrix no +prmat = 2150 #Park and ride OD matrix -> i,j +prcap = "ParkCAP_Transit" #Park ride capacity attribute name at the zone level +auleg = 2152 #Resulting auto trip leg matrix no +trleg = 2151 #Resulting transit trip leg matrix no +maxiter = 1 #Number of iterations for balancing cap restraint - 1 = no capacity constraint, > 1 = capacity constraint with shadow pricing + + +ImpPrT = numpy.exp(a*h.GetMatrixRaw(Visum, aumat)) #input matix for auto leg impedance +ImpPuT = numpy.exp(a*w*h.GetMatrixRaw(Visum, trmat).transpose()) #input matrix for transit leg impedance +MainTrips = h.GetMatrixRaw(Visum, prmat) +Zk = numpy.array(Visum.Net.Zones.GetMultiAttValues(prcap, False))[:,1] #vector of zones - 1 = has pnr lot, 0 = no pnr lot +Ck = numpy.array(Visum.Net.Zones.GetMultiAttValues(prcap, False))[:,1] #parkride lot capacity vector +Zk[Zk>0]=1 #vector of zones - 1 = has pnr lot, 0 = no pnr lot +Pk = Ck.compress(Zk) #only zones with pnr lots are kept +ComputeRouteMats(ImpPrT, ImpPuT, Zk, Pk, MainTrips, auleg, trleg, maxiter) #call the function for pnr capacity +Visum.WriteToTrace('Time taken: '+str(time.time()-start)+' secs') +#----------------------END OF USER INPUTS---------------------------------------------------------------------------# + diff --git a/scripts/CalibrateGravity.py b/scripts/CalibrateGravity.py new file mode 100644 index 0000000..94b1c4d --- /dev/null +++ b/scripts/CalibrateGravity.py @@ -0,0 +1,51 @@ +#this script replicates the balmprod.mac macro in EMME2, multiple productions are balanced against one attraction with their +#own friction factor matrices. [Chetan Joshi, Portland OR October 2010] +import numpy +import VisumPy.helpers as h + +Skim = h.GetMatrixRaw(Visum,3) #Specify 1st friction matrix +Prod1 = numpy.array(Visum.Net.Zones.GetMultiAttValues("Production(DestinationChoiceEst)"))[:,1] #First production demand strata/vector +Attr = numpy.array(Visum.Net.Zones.GetMultiAttValues("Attraction(DestinationChoiceEst)"))[:,1] #Attraction demand strata/vector +Trips1 = numpy.zeros((len(Prod1),len(Prod1))) + +ProdA = Prod1 +AttrA = Attr +alpha = 2 +adjC = -0.01 +TargetAvgTripLen = 10.5 + +fricMat1 = numpy.exp(adjC*Skim) +for Iter in range(0,50): + + for i in range(0,len(Prod1)): + Trips1[i,:] = ProdA[i]*AttrA*fricMat1[i,:]/max(0.000001, sum(AttrA * fricMat1[i, :])) + + ComputedProductions = Trips1.sum(1) + ComputedProductions[ComputedProductions==0]=1 + OrigFac = (Prod1/ComputedProductions) + ProdA = OrigFac*ProdA + + ComputedAttractions = Trips1.sum(0) + ComputedAttractions[ComputedAttractions==0]=1 + DestFac = (Attr/ComputedAttractions) + AttrA = DestFac*AttrA + + ComputedTripLen = (Trips1*Skim).sum()/ Trips1.sum() + adjC = adjC*(ComputedTripLen / TargetAvgTripLen)**alpha + fricMat1 = numpy.exp(adjC*Skim) + if abs(ComputedTripLen - TargetAvgTripLen) <= 0.01: + break; + else: + Visum.WriteToTrace('Coefficient: '+str(adjC)) + Visum.WriteToTrace('Average Trip Length: '+str(ComputedTripLen)) + +Visum.WriteToTrace('Average Trip Length: '+str(ComputedTripLen)) +Visum.WriteToTrace('Coefficient: '+str(adjC)) +h.SetMatrixRaw(Visum,2011,Trips1) #Key numbers of matrices where results will be stored in VISUM + + + + + + + From c44a03877192f65362be145bf734abf522d798a0 Mon Sep 17 00:00:00 2001 From: Chetan Joshi Date: Thu, 3 May 2018 11:38:30 -0700 Subject: [PATCH 13/31] Gravity model calibration function --- scripts/CalibrateGravity.py | 89 ++++++++++++++++++------------------- 1 file changed, 44 insertions(+), 45 deletions(-) diff --git a/scripts/CalibrateGravity.py b/scripts/CalibrateGravity.py index 94b1c4d..9f0e169 100644 --- a/scripts/CalibrateGravity.py +++ b/scripts/CalibrateGravity.py @@ -1,51 +1,50 @@ -#this script replicates the balmprod.mac macro in EMME2, multiple productions are balanced against one attraction with their -#own friction factor matrices. [Chetan Joshi, Portland OR October 2010] +#------------------------------------------------------------------------------- +# Name: Calibrate gravity model +# Purpose: Calibrates the coefficient for the gravity model with -ve exp friction factor +# given an average trip length, skim and P/A vectors +# Author: Chetan Joshi, Portland OR +# +# Created: 5/6/2015 +# +# Copyright: (c) Chetan Joshi 2015 +# Licence: Permission is hereby granted, free of charge, to any person obtaining a copy +# of this software and associated documentation files (the "Software"), to deal +# in the Software without restriction, including without limitation the rights +# to use, copy, modify, merge, publish, distribute, sublicense, and/or sell +# copies of the Software, and to permit persons to whom the Software is +# furnished to do so, subject to the following conditions: +# +# The above copyright notice and this permission notice shall be included in all +# copies or substantial portions of the Software. +# +# THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR +# IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, +# FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE +# AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER +# LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, +# OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE +# SOFTWARE. +#------------------------------------------------------------------------------- import numpy -import VisumPy.helpers as h -Skim = h.GetMatrixRaw(Visum,3) #Specify 1st friction matrix -Prod1 = numpy.array(Visum.Net.Zones.GetMultiAttValues("Production(DestinationChoiceEst)"))[:,1] #First production demand strata/vector -Attr = numpy.array(Visum.Net.Zones.GetMultiAttValues("Attraction(DestinationChoiceEst)"))[:,1] #Attraction demand strata/vector -Trips1 = numpy.zeros((len(Prod1),len(Prod1))) - -ProdA = Prod1 -AttrA = Attr -alpha = 2 -adjC = -0.01 -TargetAvgTripLen = 10.5 - -fricMat1 = numpy.exp(adjC*Skim) -for Iter in range(0,50): +def CalibrateSinglyConstrained(P, A, avg_trip_len, skim, c = -0.1, alpha = 2, max_iter = 10): + ProdA = P + AttrA = A + num_zones = len(P) + trips = numpy.zeros((num_zones, num_zones)) + fric_mat = numpy.exp(c*skim) - for i in range(0,len(Prod1)): - Trips1[i,:] = ProdA[i]*AttrA*fricMat1[i,:]/max(0.000001, sum(AttrA * fricMat1[i, :])) - - ComputedProductions = Trips1.sum(1) - ComputedProductions[ComputedProductions==0]=1 - OrigFac = (Prod1/ComputedProductions) - ProdA = OrigFac*ProdA - - ComputedAttractions = Trips1.sum(0) - ComputedAttractions[ComputedAttractions==0]=1 - DestFac = (Attr/ComputedAttractions) - AttrA = DestFac*AttrA - - ComputedTripLen = (Trips1*Skim).sum()/ Trips1.sum() - adjC = adjC*(ComputedTripLen / TargetAvgTripLen)**alpha - fricMat1 = numpy.exp(adjC*Skim) - if abs(ComputedTripLen - TargetAvgTripLen) <= 0.01: - break; - else: - Visum.WriteToTrace('Coefficient: '+str(adjC)) - Visum.WriteToTrace('Average Trip Length: '+str(ComputedTripLen)) + for Iter in range(0, max_iter): + for i in range(0, num_zones): + trips[i,:] = ProdA[i]*AttrA*fric_mat[i,:]/max(0.000001, sum(AttrA * fric_mat[i,:])) -Visum.WriteToTrace('Average Trip Length: '+str(ComputedTripLen)) -Visum.WriteToTrace('Coefficient: '+str(adjC)) -h.SetMatrixRaw(Visum,2011,Trips1) #Key numbers of matrices where results will be stored in VISUM + model_trip_len = (trips*skim).sum() / trips.sum() + c = c*(model_trip_len / avg_trip_len)**alpha + fric_mat = numpy.exp(c*skim) - - - - + print ('iteration: ', Iter, ' coefficient: ', c, ' average trip length (model): ', model_trip_len) - + print ('target average trip length (observed): ', avg_trip_len) + print ('final average trip length (model): ', model_trip_len) + print ('final logit scaling factor: ', c) + return trips #returns final trip matrix corresponding to calibrated coefficient From ee235ed677b2ae0bbecab51f83654c85342efc93 Mon Sep 17 00:00:00 2001 From: Chetan Joshi Date: Thu, 28 Jun 2018 05:59:00 -0700 Subject: [PATCH 14/31] Added test data All files are text files... > Seed OD matrix > Link counts > Flow matrix --- test_data/FlowMatrixNewport.mtx | 320227 +++++++++++++++++++++++++++++ test_data/Link_Counts.att | 130 + test_data/Seed_OD.mtx | 20525 ++ 3 files changed, 340882 insertions(+) create mode 100644 test_data/FlowMatrixNewport.mtx create mode 100644 test_data/Link_Counts.att create mode 100644 test_data/Seed_OD.mtx diff --git a/test_data/FlowMatrixNewport.mtx b/test_data/FlowMatrixNewport.mtx new file mode 100644 index 0000000..e19a9fa --- /dev/null +++ b/test_data/FlowMatrixNewport.mtx @@ -0,0 +1,320227 @@ +$O;D8 +* From to +0.00 24.00 +* Factor +1.00000000 +* PTV America Inc. 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Zone 128 -> Zone 197 +57 3829 1.00000000 +* Zone 128 -> Zone 198 +57 3830 1.00000000 +* Zone 128 -> Zone 199 +57 3831 1.00000000 +* Zone 128 -> Zone 200 +57 3832 1.00000000 +* Zone 128 -> Zone 201 +57 3833 1.00000000 +* Zone 128 -> Zone 202 +57 3834 1.00000000 +* Zone 128 -> Zone 203 +57 3835 1.00000000 +* Zone 128 -> Zone 204 +57 3836 1.00000000 +* Zone 128 -> Zone 205 +57 3837 1.00000000 +* Zone 128 -> Zone 206 +57 3838 1.00000000 +* Zone 128 -> Zone 207 +57 3839 1.00000000 +* Zone 128 -> Zone 208 +57 3840 1.00000000 +* Zone 128 -> Zone 209 +57 3841 1.00000000 +* Zone 128 -> Zone 210 +57 3842 1.00000000 +* Zone 128 -> Zone 211 +57 3843 1.00000000 +* Zone 128 -> Zone 213 +57 3844 1.00000000 +* Zone 128 -> Zone 214 +57 3845 1.00000000 +* Zone 128 -> Zone 215 +57 3846 1.00000000 +* Zone 128 -> Zone 216 +57 3847 1.00000000 +* Zone 128 -> Zone 217 +57 3848 1.00000000 +* Zone 128 -> Zone 218 +57 3849 1.00000000 +* Zone 128 -> Zone 219 +57 3850 1.00000000 +* Zone 128 -> Zone 220 +57 3851 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Zone 171 +101 3507 1.00000000 +* Zone 126 -> Zone 172 +101 3508 1.00000000 +* Zone 126 -> Zone 173 +101 3509 1.00000000 +* Zone 126 -> Zone 174 +101 3510 1.00000000 +* Zone 126 -> Zone 175 +101 3511 1.00000000 +* Zone 126 -> Zone 176 +101 3512 1.00000000 +* Zone 126 -> Zone 177 +101 3513 1.00000000 +* Zone 126 -> Zone 178 +101 3514 1.00000000 +* Zone 126 -> Zone 179 +101 3515 1.00000000 +* Zone 126 -> Zone 180 +101 3516 1.00000000 +* Zone 126 -> Zone 181 +101 3517 1.00000000 +* Zone 126 -> Zone 183 +101 3518 1.00000000 +* Zone 126 -> Zone 184 +101 3519 1.00000000 +* Zone 126 -> Zone 185 +101 3520 1.00000000 +* Zone 126 -> Zone 186 +101 3521 1.00000000 +* Zone 126 -> Zone 187 +101 3522 1.00000000 +* Zone 126 -> Zone 188 +101 3523 1.00000000 +* Zone 126 -> Zone 189 +101 3524 1.00000000 +* Zone 126 -> Zone 190 +101 3525 1.00000000 +* Zone 126 -> Zone 191 +101 3526 1.00000000 +* Zone 126 -> Zone 192 +101 3527 1.00000000 +* Zone 126 -> Zone 193 +101 3528 1.00000000 +* Zone 126 -> Zone 195 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Zone 171 +101 3653 1.00000000 +* Zone 127 -> Zone 172 +101 3654 1.00000000 +* Zone 127 -> Zone 173 +101 3655 1.00000000 +* Zone 127 -> Zone 174 +101 3656 1.00000000 +* Zone 127 -> Zone 175 +101 3657 1.00000000 +* Zone 127 -> Zone 176 +101 3658 1.00000000 +* Zone 127 -> Zone 177 +101 3659 1.00000000 +* Zone 127 -> Zone 178 +101 3660 1.00000000 +* Zone 127 -> Zone 179 +101 3661 1.00000000 +* Zone 127 -> Zone 180 +101 3662 1.00000000 +* Zone 127 -> Zone 181 +101 3663 1.00000000 +* Zone 127 -> Zone 182 +101 3664 1.00000000 +* Zone 127 -> Zone 183 +101 3665 1.00000000 +* Zone 127 -> Zone 184 +101 3666 1.00000000 +* Zone 127 -> Zone 185 +101 3667 1.00000000 +* Zone 127 -> Zone 186 +101 3668 1.00000000 +* Zone 127 -> Zone 187 +101 3669 1.00000000 +* Zone 127 -> Zone 188 +101 3670 1.00000000 +* Zone 127 -> Zone 189 +101 3671 1.00000000 +* Zone 127 -> Zone 190 +101 3672 1.00000000 +* Zone 127 -> Zone 191 +101 3673 1.00000000 +* Zone 127 -> Zone 192 +101 3674 1.00000000 +* Zone 127 -> Zone 193 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Zone 163 +101 3796 1.00000000 +* Zone 128 -> Zone 164 +101 3797 1.00000000 +* Zone 128 -> Zone 165 +101 3798 1.00000000 +* Zone 128 -> Zone 166 +101 3799 1.00000000 +* Zone 128 -> Zone 167 +101 3800 1.00000000 +* Zone 128 -> Zone 168 +101 3801 1.00000000 +* Zone 128 -> Zone 169 +101 3802 1.00000000 +* Zone 128 -> Zone 170 +101 3803 1.00000000 +* Zone 128 -> Zone 171 +101 3804 1.00000000 +* Zone 128 -> Zone 172 +101 3805 1.00000000 +* Zone 128 -> Zone 173 +101 3806 1.00000000 +* Zone 128 -> Zone 174 +101 3807 1.00000000 +* Zone 128 -> Zone 175 +101 3808 1.00000000 +* Zone 128 -> Zone 176 +101 3809 1.00000000 +* Zone 128 -> Zone 177 +101 3810 1.00000000 +* Zone 128 -> Zone 178 +101 3811 1.00000000 +* Zone 128 -> Zone 179 +101 3812 1.00000000 +* Zone 128 -> Zone 180 +101 3813 1.00000000 +* Zone 128 -> Zone 181 +101 3814 1.00000000 +* Zone 128 -> Zone 182 +101 3815 1.00000000 +* Zone 128 -> Zone 183 +101 3816 1.00000000 +* Zone 128 -> Zone 184 +101 3817 1.00000000 +* Zone 128 -> Zone 185 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Zone 150 +101 3930 1.00000000 +* Zone 129 -> Zone 157 +101 3937 1.00000000 +* Zone 129 -> Zone 161 +101 3941 1.00000000 +* Zone 129 -> Zone 162 +101 3942 1.00000000 +* Zone 129 -> Zone 163 +101 3943 1.00000000 +* Zone 129 -> Zone 164 +101 3944 1.00000000 +* Zone 129 -> Zone 165 +101 3945 1.00000000 +* Zone 129 -> Zone 166 +101 3946 1.00000000 +* Zone 129 -> Zone 167 +101 3947 1.00000000 +* Zone 129 -> Zone 168 +101 3948 1.00000000 +* Zone 129 -> Zone 169 +101 3949 1.00000000 +* Zone 129 -> Zone 170 +101 3950 1.00000000 +* Zone 129 -> Zone 171 +101 3951 1.00000000 +* Zone 129 -> Zone 172 +101 3952 1.00000000 +* Zone 129 -> Zone 173 +101 3953 1.00000000 +* Zone 129 -> Zone 174 +101 3954 1.00000000 +* Zone 129 -> Zone 175 +101 3955 1.00000000 +* Zone 129 -> Zone 176 +101 3956 1.00000000 +* Zone 129 -> Zone 177 +101 3957 1.00000000 +* Zone 129 -> Zone 178 +101 3958 1.00000000 +* Zone 129 -> Zone 179 +101 3959 1.00000000 +* Zone 129 -> Zone 180 +101 3960 1.00000000 +* Zone 129 -> Zone 181 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130 -> Zone 2 +101 4029 1.00000000 +* Zone 130 -> Zone 3 +101 4030 1.00000000 +* Zone 130 -> Zone 4 +101 4031 1.00000000 +* Zone 130 -> Zone 150 +101 4077 1.00000000 +* Zone 130 -> Zone 157 +101 4084 1.00000000 +* Zone 130 -> Zone 161 +101 4088 1.00000000 +* Zone 130 -> Zone 162 +101 4089 1.00000000 +* Zone 130 -> Zone 163 +101 4090 1.00000000 +* Zone 130 -> Zone 164 +101 4091 1.00000000 +* Zone 130 -> Zone 165 +101 4092 1.00000000 +* Zone 130 -> Zone 166 +101 4093 1.00000000 +* Zone 130 -> Zone 167 +101 4094 1.00000000 +* Zone 130 -> Zone 168 +101 4095 1.00000000 +* Zone 130 -> Zone 169 +101 4096 1.00000000 +* Zone 130 -> Zone 170 +101 4097 1.00000000 +* Zone 130 -> Zone 171 +101 4098 1.00000000 +* Zone 130 -> Zone 172 +101 4099 1.00000000 +* Zone 130 -> Zone 173 +101 4100 1.00000000 +* Zone 130 -> Zone 174 +101 4101 1.00000000 +* Zone 130 -> Zone 175 +101 4102 1.00000000 +* Zone 130 -> Zone 176 +101 4103 1.00000000 +* Zone 130 -> Zone 177 +101 4104 1.00000000 +* Zone 130 -> Zone 178 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Zone 184 -> Zone 124 +102 11206 1.00000000 +* Zone 184 -> Zone 125 +102 11207 1.00000000 +* Zone 184 -> Zone 126 +102 11208 1.00000000 +* Zone 184 -> Zone 127 +102 11209 1.00000000 +* Zone 184 -> Zone 128 +102 11210 1.00000000 +* Zone 184 -> Zone 129 +102 11211 1.00000000 +* Zone 184 -> Zone 130 +102 11212 1.00000000 +* Zone 184 -> Zone 131 +102 11213 1.00000000 +* Zone 184 -> Zone 132 +102 11214 1.00000000 +* Zone 184 -> Zone 133 +102 11215 1.00000000 +* Zone 184 -> Zone 134 +102 11216 1.00000000 +* Zone 184 -> Zone 136 +102 11217 1.00000000 +* Zone 184 -> Zone 137 +102 11218 1.00000000 +* Zone 184 -> Zone 138 +102 11219 1.00000000 +* Zone 184 -> Zone 139 +102 11220 1.00000000 +* Zone 184 -> Zone 142 +102 11222 1.00000000 +* Zone 184 -> Zone 144 +102 11223 1.00000000 +* Zone 184 -> Zone 145 +102 11224 1.00000000 +* Zone 184 -> Zone 146 +102 11225 1.00000000 +* Zone 184 -> Zone 151 +102 11229 1.00000000 +* Zone 184 -> Zone 152 +102 11230 1.00000000 +* Zone 184 -> Zone 153 +102 11231 1.00000000 +* Zone 184 -> Zone 154 +102 11232 1.00000000 +* Zone 184 -> Zone 158 +102 11236 1.00000000 +* Zone 184 -> Zone 159 +102 11237 1.00000000 +* Zone 185 -> Zone 1 +102 11319 1.00000000 +* Zone 185 -> Zone 100 +102 11323 1.00000000 +* Zone 185 -> Zone 102 +102 11324 1.00000000 +* Zone 185 -> Zone 103 +102 11325 1.00000000 +* Zone 185 -> Zone 105 +102 11326 1.00000000 +* Zone 185 -> Zone 106 +102 11327 1.00000000 +* Zone 185 -> Zone 107 +102 11328 1.00000000 +* Zone 185 -> Zone 108 +102 11329 1.00000000 +* Zone 185 -> Zone 109 +102 11330 1.00000000 +* Zone 185 -> Zone 110 +102 11331 1.00000000 +* Zone 185 -> Zone 111 +102 11332 1.00000000 +* Zone 185 -> Zone 112 +102 11333 1.00000000 +* Zone 185 -> Zone 113 +102 11334 1.00000000 +* Zone 185 -> Zone 114 +102 11335 1.00000000 +* Zone 185 -> Zone 115 +102 11336 1.00000000 +* Zone 185 -> Zone 116 +102 11337 1.00000000 +* Zone 185 -> Zone 117 +102 11338 1.00000000 +* Zone 185 -> Zone 118 +102 11339 1.00000000 +* Zone 185 -> Zone 119 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Zone 186 -> Zone 117 +102 11489 1.00000000 +* Zone 186 -> Zone 118 +102 11490 1.00000000 +* Zone 186 -> Zone 119 +102 11491 1.00000000 +* Zone 186 -> Zone 120 +102 11492 1.00000000 +* Zone 186 -> Zone 121 +102 11493 1.00000000 +* Zone 186 -> Zone 122 +102 11494 1.00000000 +* Zone 186 -> Zone 123 +102 11495 1.00000000 +* Zone 186 -> Zone 124 +102 11496 1.00000000 +* Zone 186 -> Zone 125 +102 11497 1.00000000 +* Zone 186 -> Zone 126 +102 11498 1.00000000 +* Zone 186 -> Zone 127 +102 11499 1.00000000 +* Zone 186 -> Zone 128 +102 11500 1.00000000 +* Zone 186 -> Zone 129 +102 11501 1.00000000 +* Zone 186 -> Zone 130 +102 11502 1.00000000 +* Zone 186 -> Zone 131 +102 11503 1.00000000 +* Zone 186 -> Zone 134 +102 11506 1.00000000 +* Zone 186 -> Zone 137 +102 11508 1.00000000 +* Zone 186 -> Zone 138 +102 11509 1.00000000 +* Zone 186 -> Zone 139 +102 11510 1.00000000 +* Zone 186 -> Zone 140 +102 11511 1.00000000 +* Zone 186 -> Zone 146 +102 11516 1.00000000 +* Zone 186 -> Zone 148 +102 11517 1.00000000 +* Zone 186 -> Zone 154 +102 11523 1.00000000 +* Zone 186 -> Zone 155 +102 11524 1.00000000 +* Zone 186 -> Zone 158 +102 11527 1.00000000 +* Zone 186 -> Zone 159 +102 11528 1.00000000 +* Zone 186 -> Zone 160 +102 11529 1.00000000 +* Zone 187 -> Zone 1 +102 11621 1.00000000 +* Zone 187 -> Zone 102 +102 11625 1.00000000 +* Zone 187 -> Zone 105 +102 11626 1.00000000 +* Zone 187 -> Zone 106 +102 11627 1.00000000 +* Zone 187 -> Zone 107 +102 11628 1.00000000 +* Zone 187 -> Zone 108 +102 11629 1.00000000 +* Zone 187 -> Zone 109 +102 11630 1.00000000 +* Zone 187 -> Zone 110 +102 11631 1.00000000 +* Zone 187 -> Zone 111 +102 11632 1.00000000 +* Zone 187 -> Zone 112 +102 11633 1.00000000 +* Zone 187 -> Zone 113 +102 11634 1.00000000 +* Zone 187 -> Zone 114 +102 11635 1.00000000 +* Zone 187 -> Zone 115 +102 11636 1.00000000 +* Zone 187 -> Zone 116 +102 11637 1.00000000 +* Zone 187 -> Zone 117 +102 11638 1.00000000 +* Zone 187 -> Zone 118 +102 11639 1.00000000 +* Zone 187 -> Zone 119 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Zone 188 -> Zone 121 +102 11792 1.00000000 +* Zone 188 -> Zone 122 +102 11793 1.00000000 +* Zone 188 -> Zone 123 +102 11794 1.00000000 +* Zone 188 -> Zone 124 +102 11795 1.00000000 +* Zone 188 -> Zone 125 +102 11796 1.00000000 +* Zone 188 -> Zone 126 +102 11797 1.00000000 +* Zone 188 -> Zone 127 +102 11798 1.00000000 +* Zone 188 -> Zone 128 +102 11799 1.00000000 +* Zone 188 -> Zone 129 +102 11800 1.00000000 +* Zone 188 -> Zone 130 +102 11801 1.00000000 +* Zone 188 -> Zone 131 +102 11802 1.00000000 +* Zone 188 -> Zone 132 +102 11803 1.00000000 +* Zone 188 -> Zone 133 +102 11804 1.00000000 +* Zone 188 -> Zone 134 +102 11805 1.00000000 +* Zone 188 -> Zone 135 +102 11806 1.00000000 +* Zone 188 -> Zone 136 +102 11807 1.00000000 +* Zone 188 -> Zone 137 +102 11808 1.00000000 +* Zone 188 -> Zone 138 +102 11809 1.00000000 +* Zone 188 -> Zone 139 +102 11810 1.00000000 +* Zone 188 -> Zone 140 +102 11811 1.00000000 +* Zone 188 -> Zone 142 +102 11812 1.00000000 +* Zone 188 -> Zone 145 +102 11815 1.00000000 +* Zone 188 -> Zone 146 +102 11816 1.00000000 +* Zone 188 -> Zone 148 +102 11817 1.00000000 +* Zone 188 -> Zone 153 +102 11822 1.00000000 +* Zone 188 -> Zone 154 +102 11823 1.00000000 +* Zone 188 -> Zone 155 +102 11824 1.00000000 +* Zone 188 -> Zone 158 +102 11827 1.00000000 +* Zone 188 -> Zone 159 +102 11828 1.00000000 +* Zone 188 -> Zone 160 +102 11829 1.00000000 +* Zone 189 -> Zone 1 +102 11922 1.00000000 +* Zone 189 -> Zone 105 +102 11926 1.00000000 +* Zone 189 -> Zone 106 +102 11927 1.00000000 +* Zone 189 -> Zone 107 +102 11928 1.00000000 +* Zone 189 -> Zone 108 +102 11929 1.00000000 +* Zone 189 -> Zone 109 +102 11930 1.00000000 +* Zone 189 -> Zone 110 +102 11931 1.00000000 +* Zone 189 -> Zone 111 +102 11932 1.00000000 +* Zone 189 -> Zone 112 +102 11933 1.00000000 +* Zone 189 -> Zone 113 +102 11934 1.00000000 +* Zone 189 -> Zone 114 +102 11935 1.00000000 +* Zone 189 -> Zone 115 +102 11936 1.00000000 +* Zone 189 -> Zone 116 +102 11937 1.00000000 +* Zone 189 -> Zone 117 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Zone 192 -> Zone 109 +102 12361 1.00000000 +* Zone 192 -> Zone 110 +102 12362 1.00000000 +* Zone 192 -> Zone 111 +102 12363 1.00000000 +* Zone 192 -> Zone 112 +102 12364 1.00000000 +* Zone 192 -> Zone 113 +102 12365 1.00000000 +* Zone 192 -> Zone 115 +102 12366 1.00000000 +* Zone 192 -> Zone 116 +102 12367 1.00000000 +* Zone 192 -> Zone 117 +102 12368 1.00000000 +* Zone 192 -> Zone 118 +102 12369 1.00000000 +* Zone 192 -> Zone 119 +102 12370 1.00000000 +* Zone 192 -> Zone 121 +102 12371 1.00000000 +* Zone 192 -> Zone 122 +102 12372 1.00000000 +* Zone 192 -> Zone 123 +102 12373 1.00000000 +* Zone 192 -> Zone 124 +102 12374 1.00000000 +* Zone 192 -> Zone 125 +102 12375 1.00000000 +* Zone 192 -> Zone 126 +102 12376 1.00000000 +* Zone 192 -> Zone 127 +102 12377 1.00000000 +* Zone 192 -> Zone 128 +102 12378 1.00000000 +* Zone 192 -> Zone 129 +102 12379 1.00000000 +* Zone 192 -> Zone 130 +102 12380 1.00000000 +* Zone 192 -> Zone 131 +102 12381 1.00000000 +* Zone 192 -> Zone 132 +102 12382 1.00000000 +* Zone 192 -> Zone 133 +102 12383 1.00000000 +* Zone 192 -> Zone 134 +102 12384 1.00000000 +* Zone 192 -> Zone 136 +102 12385 1.00000000 +* Zone 192 -> Zone 137 +102 12386 1.00000000 +* Zone 192 -> Zone 138 +102 12387 1.00000000 +* Zone 192 -> Zone 139 +102 12388 1.00000000 +* Zone 192 -> Zone 142 +102 12390 1.00000000 +* Zone 192 -> Zone 144 +102 12391 1.00000000 +* Zone 192 -> Zone 145 +102 12392 1.00000000 +* Zone 192 -> Zone 146 +102 12393 1.00000000 +* Zone 192 -> Zone 151 +102 12397 1.00000000 +* Zone 192 -> Zone 152 +102 12398 1.00000000 +* Zone 192 -> Zone 153 +102 12399 1.00000000 +* Zone 192 -> Zone 154 +102 12400 1.00000000 +* Zone 192 -> Zone 158 +102 12404 1.00000000 +* Zone 192 -> Zone 159 +102 12405 1.00000000 +* Zone 193 -> Zone 1 +102 12491 1.00000000 +* Zone 193 -> Zone 105 +102 12494 1.00000000 +* Zone 193 -> Zone 106 +102 12495 1.00000000 +* Zone 193 -> Zone 107 +102 12496 1.00000000 +* Zone 193 -> Zone 108 +102 12497 1.00000000 +* Zone 193 -> Zone 109 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Zone 194 -> Zone 131 +102 12642 1.00000000 +* Zone 194 -> Zone 133 +102 12643 1.00000000 +* Zone 194 -> Zone 134 +102 12644 1.00000000 +* Zone 194 -> Zone 138 +102 12645 1.00000000 +* Zone 194 -> Zone 145 +102 12646 1.00000000 +* Zone 195 -> Zone 1 +102 12679 1.00000000 +* Zone 195 -> Zone 105 +102 12682 1.00000000 +* Zone 195 -> Zone 106 +102 12683 1.00000000 +* Zone 195 -> Zone 109 +102 12684 1.00000000 +* Zone 195 -> Zone 110 +102 12685 1.00000000 +* Zone 195 -> Zone 111 +102 12686 1.00000000 +* Zone 195 -> Zone 112 +102 12687 1.00000000 +* Zone 195 -> Zone 113 +102 12688 1.00000000 +* Zone 195 -> Zone 115 +102 12689 1.00000000 +* Zone 195 -> Zone 118 +102 12690 1.00000000 +* Zone 195 -> Zone 119 +102 12691 1.00000000 +* Zone 195 -> Zone 121 +102 12692 1.00000000 +* Zone 195 -> Zone 122 +102 12693 1.00000000 +* Zone 195 -> Zone 123 +102 12694 1.00000000 +* Zone 195 -> Zone 124 +102 12695 1.00000000 +* Zone 195 -> Zone 125 +102 12696 1.00000000 +* Zone 195 -> Zone 126 +102 12697 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Zone 118 +102 13410 1.00000000 +* Zone 200 -> Zone 119 +102 13411 1.00000000 +* Zone 200 -> Zone 120 +102 13412 1.00000000 +* Zone 200 -> Zone 121 +102 13413 1.00000000 +* Zone 200 -> Zone 122 +102 13414 1.00000000 +* Zone 200 -> Zone 123 +102 13415 1.00000000 +* Zone 200 -> Zone 124 +102 13416 1.00000000 +* Zone 200 -> Zone 125 +102 13417 1.00000000 +* Zone 200 -> Zone 126 +102 13418 1.00000000 +* Zone 200 -> Zone 127 +102 13419 1.00000000 +* Zone 200 -> Zone 128 +102 13420 1.00000000 +* Zone 200 -> Zone 129 +102 13421 1.00000000 +* Zone 200 -> Zone 130 +102 13422 1.00000000 +* Zone 200 -> Zone 131 +102 13423 1.00000000 +* Zone 200 -> Zone 132 +102 13424 1.00000000 +* Zone 200 -> Zone 133 +102 13425 1.00000000 +* Zone 200 -> Zone 134 +102 13426 1.00000000 +* Zone 200 -> Zone 136 +102 13427 1.00000000 +* Zone 200 -> Zone 137 +102 13428 1.00000000 +* Zone 200 -> Zone 138 +102 13429 1.00000000 +* Zone 200 -> Zone 139 +102 13430 1.00000000 +* Zone 200 -> Zone 140 +102 13431 1.00000000 +* 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Zone 225 -> Zone 122 +102 16533 1.00000000 +* Zone 225 -> Zone 123 +102 16534 1.00000000 +* Zone 225 -> Zone 124 +102 16535 1.00000000 +* Zone 225 -> Zone 125 +102 16536 1.00000000 +* Zone 225 -> Zone 126 +102 16537 1.00000000 +* Zone 225 -> Zone 127 +102 16538 1.00000000 +* Zone 225 -> Zone 128 +102 16539 1.00000000 +* Zone 225 -> Zone 129 +102 16540 1.00000000 +* Zone 225 -> Zone 130 +102 16541 1.00000000 +* Zone 225 -> Zone 131 +102 16542 1.00000000 +* Zone 225 -> Zone 132 +102 16543 1.00000000 +* Zone 225 -> Zone 133 +102 16544 1.00000000 +* Zone 225 -> Zone 134 +102 16545 1.00000000 +* Zone 225 -> Zone 136 +102 16546 1.00000000 +* Zone 225 -> Zone 137 +102 16547 1.00000000 +* Zone 225 -> Zone 138 +102 16548 1.00000000 +* Zone 225 -> Zone 139 +102 16549 1.00000000 +* Zone 225 -> Zone 140 +102 16550 1.00000000 +* Zone 225 -> Zone 142 +102 16551 1.00000000 +* Zone 225 -> Zone 145 +102 16554 1.00000000 +* Zone 225 -> Zone 146 +102 16555 1.00000000 +* Zone 225 -> Zone 148 +102 16556 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Zone 112 +102 17890 1.00000000 +* Zone 237 -> Zone 113 +102 17891 1.00000000 +* Zone 237 -> Zone 114 +102 17892 1.00000000 +* Zone 237 -> Zone 115 +102 17893 1.00000000 +* Zone 237 -> Zone 116 +102 17894 1.00000000 +* Zone 237 -> Zone 117 +102 17895 1.00000000 +* Zone 237 -> Zone 118 +102 17896 1.00000000 +* Zone 237 -> Zone 119 +102 17897 1.00000000 +* Zone 237 -> Zone 120 +102 17898 1.00000000 +* Zone 237 -> Zone 121 +102 17899 1.00000000 +* Zone 237 -> Zone 122 +102 17900 1.00000000 +* Zone 237 -> Zone 123 +102 17901 1.00000000 +* Zone 237 -> Zone 124 +102 17902 1.00000000 +* Zone 237 -> Zone 125 +102 17903 1.00000000 +* Zone 237 -> Zone 126 +102 17904 1.00000000 +* Zone 237 -> Zone 127 +102 17905 1.00000000 +* Zone 237 -> Zone 128 +102 17906 1.00000000 +* Zone 237 -> Zone 129 +102 17907 1.00000000 +* Zone 237 -> Zone 130 +102 17908 1.00000000 +* Zone 237 -> Zone 131 +102 17909 1.00000000 +* Zone 237 -> Zone 132 +102 17910 1.00000000 +* Zone 237 -> Zone 133 +102 17911 1.00000000 +* 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Zone 107 +102 18210 1.00000000 +* Zone 240 -> Zone 108 +102 18211 1.00000000 +* Zone 240 -> Zone 109 +102 18212 1.00000000 +* Zone 240 -> Zone 110 +102 18213 1.00000000 +* Zone 240 -> Zone 111 +102 18214 1.00000000 +* Zone 240 -> Zone 112 +102 18215 1.00000000 +* Zone 240 -> Zone 113 +102 18216 1.00000000 +* Zone 240 -> Zone 114 +102 18217 1.00000000 +* Zone 240 -> Zone 115 +102 18218 1.00000000 +* Zone 240 -> Zone 116 +102 18219 1.00000000 +* Zone 240 -> Zone 117 +102 18220 1.00000000 +* Zone 240 -> Zone 118 +102 18221 1.00000000 +* Zone 240 -> Zone 119 +102 18222 1.00000000 +* Zone 240 -> Zone 120 +102 18223 1.00000000 +* Zone 240 -> Zone 121 +102 18224 1.00000000 +* Zone 240 -> Zone 122 +102 18225 1.00000000 +* Zone 240 -> Zone 123 +102 18226 1.00000000 +* Zone 240 -> Zone 124 +102 18227 1.00000000 +* Zone 240 -> Zone 125 +102 18228 1.00000000 +* Zone 240 -> Zone 126 +102 18229 1.00000000 +* Zone 240 -> Zone 127 +102 18230 1.00000000 +* Zone 240 -> Zone 128 +102 18231 1.00000000 +* 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Zone 108 +102 19044 1.00000000 +* Zone 246 -> Zone 109 +102 19045 1.00000000 +* Zone 246 -> Zone 110 +102 19046 1.00000000 +* Zone 246 -> Zone 111 +102 19047 1.00000000 +* Zone 246 -> Zone 112 +102 19048 1.00000000 +* Zone 246 -> Zone 113 +102 19049 1.00000000 +* Zone 246 -> Zone 114 +102 19050 1.00000000 +* Zone 246 -> Zone 115 +102 19051 1.00000000 +* Zone 246 -> Zone 116 +102 19052 1.00000000 +* Zone 246 -> Zone 117 +102 19053 1.00000000 +* Zone 246 -> Zone 118 +102 19054 1.00000000 +* Zone 246 -> Zone 119 +102 19055 1.00000000 +* Zone 246 -> Zone 120 +102 19056 1.00000000 +* Zone 246 -> Zone 121 +102 19057 1.00000000 +* Zone 246 -> Zone 122 +102 19058 1.00000000 +* Zone 246 -> Zone 123 +102 19059 1.00000000 +* Zone 246 -> Zone 124 +102 19060 1.00000000 +* Zone 246 -> Zone 125 +102 19061 1.00000000 +* Zone 246 -> Zone 126 +102 19062 1.00000000 +* Zone 246 -> Zone 127 +102 19063 1.00000000 +* Zone 246 -> Zone 128 +102 19064 1.00000000 +* Zone 246 -> Zone 129 +102 19065 1.00000000 +* 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Zone 183 -> Zone 115 +103 11080 1.00000000 +* Zone 183 -> Zone 116 +103 11081 1.00000000 +* Zone 183 -> Zone 119 +103 11082 1.00000000 +* Zone 183 -> Zone 123 +103 11083 1.00000000 +* Zone 183 -> Zone 124 +103 11084 1.00000000 +* Zone 183 -> Zone 125 +103 11085 1.00000000 +* Zone 183 -> Zone 126 +103 11086 1.00000000 +* Zone 183 -> Zone 127 +103 11087 1.00000000 +* Zone 183 -> Zone 128 +103 11088 1.00000000 +* Zone 183 -> Zone 129 +103 11089 1.00000000 +* Zone 183 -> Zone 130 +103 11090 1.00000000 +* Zone 183 -> Zone 131 +103 11091 1.00000000 +* Zone 183 -> Zone 132 +103 11092 1.00000000 +* Zone 183 -> Zone 133 +103 11093 1.00000000 +* Zone 183 -> Zone 134 +103 11094 1.00000000 +* Zone 183 -> Zone 136 +103 11095 1.00000000 +* Zone 183 -> Zone 137 +103 11096 1.00000000 +* Zone 183 -> Zone 138 +103 11097 1.00000000 +* Zone 183 -> Zone 139 +103 11098 1.00000000 +* Zone 183 -> Zone 142 +103 11100 1.00000000 +* Zone 183 -> Zone 144 +103 11101 1.00000000 +* Zone 183 -> Zone 145 +103 11102 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Zone 187 -> Zone 116 +103 11637 1.00000000 +* Zone 187 -> Zone 117 +103 11638 1.00000000 +* Zone 187 -> Zone 118 +103 11639 1.00000000 +* Zone 187 -> Zone 119 +103 11640 1.00000000 +* Zone 187 -> Zone 120 +103 11641 1.00000000 +* Zone 187 -> Zone 121 +103 11642 1.00000000 +* Zone 187 -> Zone 122 +103 11643 1.00000000 +* Zone 187 -> Zone 123 +103 11644 1.00000000 +* Zone 187 -> Zone 124 +103 11645 1.00000000 +* Zone 187 -> Zone 125 +103 11646 1.00000000 +* Zone 187 -> Zone 126 +103 11647 1.00000000 +* Zone 187 -> Zone 127 +103 11648 1.00000000 +* Zone 187 -> Zone 128 +103 11649 1.00000000 +* Zone 187 -> Zone 129 +103 11650 1.00000000 +* Zone 187 -> Zone 130 +103 11651 1.00000000 +* Zone 187 -> Zone 131 +103 11652 1.00000000 +* Zone 187 -> Zone 134 +103 11655 1.00000000 +* Zone 187 -> Zone 135 +103 11656 1.00000000 +* Zone 187 -> Zone 137 +103 11658 1.00000000 +* Zone 187 -> Zone 138 +103 11659 1.00000000 +* Zone 187 -> Zone 139 +103 11660 1.00000000 +* Zone 187 -> Zone 140 +103 11661 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Zone 122 +103 12091 1.00000000 +* Zone 190 -> Zone 123 +103 12092 1.00000000 +* Zone 190 -> Zone 124 +103 12093 1.00000000 +* Zone 190 -> Zone 125 +103 12094 1.00000000 +* Zone 190 -> Zone 126 +103 12095 1.00000000 +* Zone 190 -> Zone 127 +103 12096 1.00000000 +* Zone 190 -> Zone 128 +103 12097 1.00000000 +* Zone 190 -> Zone 129 +103 12098 1.00000000 +* Zone 190 -> Zone 130 +103 12099 1.00000000 +* Zone 190 -> Zone 131 +103 12100 1.00000000 +* Zone 190 -> Zone 132 +103 12101 1.00000000 +* Zone 190 -> Zone 133 +103 12102 1.00000000 +* Zone 190 -> Zone 134 +103 12103 1.00000000 +* Zone 190 -> Zone 136 +103 12104 1.00000000 +* Zone 190 -> Zone 137 +103 12105 1.00000000 +* Zone 190 -> Zone 138 +103 12106 1.00000000 +* Zone 190 -> Zone 139 +103 12107 1.00000000 +* Zone 190 -> Zone 142 +103 12109 1.00000000 +* Zone 190 -> Zone 143 +103 12110 1.00000000 +* Zone 190 -> Zone 144 +103 12111 1.00000000 +* Zone 190 -> Zone 145 +103 12112 1.00000000 +* Zone 190 -> Zone 146 +103 12113 1.00000000 +* 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Zone 121 +103 14812 1.00000000 +* Zone 210 -> Zone 122 +103 14813 1.00000000 +* Zone 210 -> Zone 123 +103 14814 1.00000000 +* Zone 210 -> Zone 124 +103 14815 1.00000000 +* Zone 210 -> Zone 125 +103 14816 1.00000000 +* Zone 210 -> Zone 126 +103 14817 1.00000000 +* Zone 210 -> Zone 127 +103 14818 1.00000000 +* Zone 210 -> Zone 128 +103 14819 1.00000000 +* Zone 210 -> Zone 129 +103 14820 1.00000000 +* Zone 210 -> Zone 130 +103 14821 1.00000000 +* Zone 210 -> Zone 131 +103 14822 1.00000000 +* Zone 210 -> Zone 132 +103 14823 1.00000000 +* Zone 210 -> Zone 133 +103 14824 1.00000000 +* Zone 210 -> Zone 134 +103 14825 1.00000000 +* Zone 210 -> Zone 136 +103 14826 1.00000000 +* Zone 210 -> Zone 137 +103 14827 1.00000000 +* Zone 210 -> Zone 138 +103 14828 1.00000000 +* Zone 210 -> Zone 139 +103 14829 1.00000000 +* Zone 210 -> Zone 142 +103 14831 1.00000000 +* Zone 210 -> Zone 143 +103 14832 1.00000000 +* Zone 210 -> Zone 144 +103 14833 1.00000000 +* Zone 210 -> Zone 145 +103 14834 1.00000000 +* 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Zone 215 -> Zone 124 +103 15436 1.00000000 +* Zone 215 -> Zone 125 +103 15437 1.00000000 +* Zone 215 -> Zone 126 +103 15438 1.00000000 +* Zone 215 -> Zone 127 +103 15439 1.00000000 +* Zone 215 -> Zone 128 +103 15440 1.00000000 +* Zone 215 -> Zone 129 +103 15441 1.00000000 +* Zone 215 -> Zone 130 +103 15442 1.00000000 +* Zone 215 -> Zone 131 +103 15443 1.00000000 +* Zone 215 -> Zone 132 +103 15444 1.00000000 +* Zone 215 -> Zone 133 +103 15445 1.00000000 +* Zone 215 -> Zone 134 +103 15446 1.00000000 +* Zone 215 -> Zone 136 +103 15447 1.00000000 +* Zone 215 -> Zone 138 +103 15448 1.00000000 +* Zone 215 -> Zone 139 +103 15449 1.00000000 +* Zone 215 -> Zone 145 +103 15451 1.00000000 +* Zone 215 -> Zone 146 +103 15452 1.00000000 +* Zone 215 -> Zone 154 +103 15457 1.00000000 +* Zone 215 -> Zone 155 +103 15458 1.00000000 +* Zone 215 -> Zone 159 +103 15461 1.00000000 +* Zone 215 -> Zone 160 +103 15462 1.00000000 +* Zone 215 -> Zone 162 +103 15464 1.00000000 +* Zone 215 -> Zone 163 +103 15465 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Zone 107 +103 18355 1.00000000 +* Zone 241 -> Zone 108 +103 18356 1.00000000 +* Zone 241 -> Zone 109 +103 18357 1.00000000 +* Zone 241 -> Zone 110 +103 18358 1.00000000 +* Zone 241 -> Zone 111 +103 18359 1.00000000 +* Zone 241 -> Zone 112 +103 18360 1.00000000 +* Zone 241 -> Zone 113 +103 18361 1.00000000 +* Zone 241 -> Zone 114 +103 18362 1.00000000 +* Zone 241 -> Zone 115 +103 18363 1.00000000 +* Zone 241 -> Zone 116 +103 18364 1.00000000 +* Zone 241 -> Zone 117 +103 18365 1.00000000 +* Zone 241 -> Zone 118 +103 18366 1.00000000 +* Zone 241 -> Zone 119 +103 18367 1.00000000 +* Zone 241 -> Zone 120 +103 18368 1.00000000 +* Zone 241 -> Zone 121 +103 18369 1.00000000 +* Zone 241 -> Zone 122 +103 18370 1.00000000 +* Zone 241 -> Zone 123 +103 18371 1.00000000 +* Zone 241 -> Zone 124 +103 18372 1.00000000 +* Zone 241 -> Zone 125 +103 18373 1.00000000 +* Zone 241 -> Zone 126 +103 18374 1.00000000 +* Zone 241 -> Zone 127 +103 18375 1.00000000 +* Zone 241 -> Zone 128 +103 18376 1.00000000 +* 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Zone 178 -> Zone 138 +111 10501 1.00000000 +* Zone 178 -> Zone 139 +111 10502 1.00000000 +* Zone 178 -> Zone 142 +111 10504 1.00000000 +* Zone 178 -> Zone 143 +111 10505 1.00000000 +* Zone 178 -> Zone 144 +111 10506 1.00000000 +* Zone 178 -> Zone 145 +111 10507 1.00000000 +* Zone 178 -> Zone 151 +111 10512 1.00000000 +* Zone 178 -> Zone 152 +111 10513 1.00000000 +* Zone 178 -> Zone 153 +111 10514 1.00000000 +* Zone 178 -> Zone 156 +111 10517 1.00000000 +* Zone 178 -> Zone 157 +111 10518 1.00000000 +* Zone 178 -> Zone 158 +111 10519 1.00000000 +* Zone 178 -> Zone 161 +111 10522 1.00000000 +* Zone 178 -> Zone 164 +111 10525 1.00000000 +* Zone 178 -> Zone 165 +111 10526 1.00000000 +* Zone 178 -> Zone 166 +111 10527 1.00000000 +* Zone 178 -> Zone 171 +111 10532 1.00000000 +* Zone 178 -> Zone 172 +111 10533 1.00000000 +* Zone 178 -> Zone 185 +111 10546 1.00000000 +* Zone 178 -> Zone 186 +111 10547 1.00000000 +* Zone 178 -> Zone 187 +111 10548 1.00000000 +* Zone 178 -> Zone 188 +111 10549 1.00000000 +* Zone 178 -> Zone 196 +111 10557 1.00000000 +* Zone 178 -> Zone 197 +111 10558 1.00000000 +* Zone 178 -> Zone 198 +111 10559 1.00000000 +* Zone 178 -> Zone 203 +111 10564 1.00000000 +* Zone 178 -> Zone 204 +111 10565 1.00000000 +* Zone 178 -> Zone 211 +111 10572 1.00000000 +* Zone 178 -> Zone 212 +111 10573 1.00000000 +* Zone 178 -> Zone 213 +111 10574 1.00000000 +* Zone 178 -> Zone 215 +111 10576 1.00000000 +* Zone 178 -> Zone 216 +111 10577 1.00000000 +* Zone 178 -> Zone 217 +111 10578 1.00000000 +* Zone 178 -> Zone 218 +111 10579 1.00000000 +* Zone 178 -> Zone 219 +111 10580 1.00000000 +* Zone 178 -> Zone 220 +111 10581 1.00000000 +* Zone 178 -> Zone 222 +111 10582 1.00000000 +* Zone 178 -> Zone 224 +111 10583 1.00000000 +* Zone 178 -> Zone 225 +111 10584 1.00000000 +* Zone 178 -> Zone 226 +111 10585 1.00000000 +* Zone 178 -> Zone 230 +111 10587 1.00000000 +* Zone 178 -> Zone 231 +111 10588 1.00000000 +* Zone 178 -> Zone 232 +111 10589 1.00000000 +* Zone 178 -> Zone 233 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Zone 179 -> Zone 124 +111 10635 1.00000000 +* Zone 179 -> Zone 125 +111 10636 1.00000000 +* Zone 179 -> Zone 126 +111 10637 1.00000000 +* Zone 179 -> Zone 127 +111 10638 1.00000000 +* Zone 179 -> Zone 128 +111 10639 1.00000000 +* Zone 179 -> Zone 129 +111 10640 1.00000000 +* Zone 179 -> Zone 130 +111 10641 1.00000000 +* Zone 179 -> Zone 131 +111 10642 1.00000000 +* Zone 179 -> Zone 132 +111 10643 1.00000000 +* Zone 179 -> Zone 133 +111 10644 1.00000000 +* Zone 179 -> Zone 134 +111 10645 1.00000000 +* Zone 179 -> Zone 136 +111 10646 1.00000000 +* Zone 179 -> Zone 137 +111 10647 1.00000000 +* Zone 179 -> Zone 138 +111 10648 1.00000000 +* Zone 179 -> Zone 139 +111 10649 1.00000000 +* Zone 179 -> Zone 140 +111 10650 1.00000000 +* Zone 179 -> Zone 142 +111 10651 1.00000000 +* Zone 179 -> Zone 143 +111 10652 1.00000000 +* Zone 179 -> Zone 144 +111 10653 1.00000000 +* Zone 179 -> Zone 145 +111 10654 1.00000000 +* Zone 179 -> Zone 146 +111 10655 1.00000000 +* Zone 179 -> Zone 148 +111 10656 1.00000000 +* Zone 179 -> Zone 151 +111 10659 1.00000000 +* Zone 179 -> Zone 152 +111 10660 1.00000000 +* Zone 179 -> Zone 153 +111 10661 1.00000000 +* Zone 179 -> Zone 154 +111 10662 1.00000000 +* Zone 179 -> Zone 156 +111 10664 1.00000000 +* Zone 179 -> Zone 157 +111 10665 1.00000000 +* Zone 179 -> Zone 158 +111 10666 1.00000000 +* Zone 179 -> Zone 159 +111 10667 1.00000000 +* Zone 179 -> Zone 161 +111 10669 1.00000000 +* Zone 179 -> Zone 162 +111 10670 1.00000000 +* Zone 179 -> Zone 164 +111 10672 1.00000000 +* Zone 179 -> Zone 165 +111 10673 1.00000000 +* Zone 179 -> Zone 166 +111 10674 1.00000000 +* Zone 179 -> Zone 171 +111 10679 1.00000000 +* Zone 179 -> Zone 172 +111 10680 1.00000000 +* Zone 179 -> Zone 185 +111 10693 1.00000000 +* Zone 179 -> Zone 186 +111 10694 1.00000000 +* Zone 179 -> Zone 187 +111 10695 1.00000000 +* Zone 179 -> Zone 188 +111 10696 1.00000000 +* Zone 179 -> Zone 196 +111 10704 1.00000000 +* Zone 179 -> Zone 197 +111 10705 1.00000000 +* Zone 179 -> Zone 198 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-> Zone 237 +111 10740 1.00000000 +* Zone 179 -> Zone 238 +111 10741 1.00000000 +* Zone 179 -> Zone 239 +111 10742 1.00000000 +* Zone 179 -> Zone 240 +111 10743 1.00000000 +* Zone 179 -> Zone 241 +111 10744 1.00000000 +* Zone 179 -> Zone 242 +111 10745 1.00000000 +* Zone 179 -> Zone 243 +111 10746 1.00000000 +* Zone 179 -> Zone 244 +111 10747 1.00000000 +* Zone 179 -> Zone 245 +111 10748 1.00000000 +* Zone 179 -> Zone 246 +111 10749 1.00000000 +* Zone 179 -> Zone 247 +111 10750 1.00000000 +* Zone 179 -> Zone 248 +111 10751 1.00000000 +* Zone 179 -> Zone 249 +111 10752 1.00000000 +* Zone 179 -> Zone 250 +111 10753 1.00000000 +* Zone 179 -> Zone 251 +111 10754 1.00000000 +* Zone 179 -> Zone 252 +111 10755 1.00000000 +* Zone 179 -> Zone 253 +111 10756 1.00000000 +* Zone 179 -> Zone 254 +111 10757 1.00000000 +* Zone 179 -> Zone 255 +111 10758 1.00000000 +* Zone 180 -> Zone 1 +111 10759 1.00000000 +* Zone 180 -> Zone 2 +111 10760 1.00000000 +* Zone 180 -> Zone 105 +111 10762 1.00000000 +* Zone 180 -> Zone 106 +111 10763 1.00000000 +* Zone 180 -> Zone 107 +111 10764 1.00000000 +* Zone 180 -> Zone 108 +111 10765 1.00000000 +* Zone 180 -> Zone 109 +111 10766 1.00000000 +* Zone 180 -> Zone 110 +111 10767 1.00000000 +* Zone 180 -> Zone 111 +111 10768 1.00000000 +* Zone 180 -> Zone 112 +111 10769 1.00000000 +* Zone 180 -> Zone 113 +111 10770 1.00000000 +* Zone 180 -> Zone 114 +111 10771 1.00000000 +* Zone 180 -> Zone 115 +111 10772 1.00000000 +* Zone 180 -> Zone 116 +111 10773 1.00000000 +* Zone 180 -> Zone 117 +111 10774 1.00000000 +* Zone 180 -> Zone 118 +111 10775 1.00000000 +* Zone 180 -> Zone 119 +111 10776 1.00000000 +* Zone 180 -> Zone 121 +111 10777 1.00000000 +* Zone 180 -> Zone 122 +111 10778 1.00000000 +* Zone 180 -> Zone 123 +111 10779 1.00000000 +* Zone 180 -> Zone 124 +111 10780 1.00000000 +* Zone 180 -> Zone 125 +111 10781 1.00000000 +* Zone 180 -> Zone 126 +111 10782 1.00000000 +* Zone 180 -> Zone 127 +111 10783 1.00000000 +* Zone 180 -> Zone 128 +111 10784 1.00000000 +* Zone 180 -> Zone 129 +111 10785 1.00000000 +* Zone 180 -> Zone 130 +111 10786 1.00000000 +* Zone 180 -> Zone 131 +111 10787 1.00000000 +* Zone 180 -> Zone 132 +111 10788 1.00000000 +* Zone 180 -> Zone 133 +111 10789 1.00000000 +* Zone 180 -> Zone 134 +111 10790 1.00000000 +* Zone 180 -> Zone 136 +111 10791 1.00000000 +* Zone 180 -> Zone 137 +111 10792 1.00000000 +* Zone 180 -> Zone 138 +111 10793 1.00000000 +* Zone 180 -> Zone 139 +111 10794 1.00000000 +* Zone 180 -> Zone 142 +111 10796 1.00000000 +* Zone 180 -> Zone 143 +111 10797 1.00000000 +* Zone 180 -> Zone 144 +111 10798 1.00000000 +* Zone 180 -> Zone 145 +111 10799 1.00000000 +* Zone 180 -> Zone 146 +111 10800 1.00000000 +* Zone 180 -> Zone 151 +111 10804 1.00000000 +* Zone 180 -> Zone 152 +111 10805 1.00000000 +* Zone 180 -> Zone 153 +111 10806 1.00000000 +* Zone 180 -> Zone 154 +111 10807 1.00000000 +* Zone 180 -> Zone 156 +111 10809 1.00000000 +* Zone 180 -> Zone 157 +111 10810 1.00000000 +* Zone 180 -> Zone 158 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1.00000000 +* Zone 181 -> Zone 130 +111 10913 1.00000000 +* Zone 181 -> Zone 131 +111 10914 1.00000000 +* Zone 181 -> Zone 132 +111 10915 1.00000000 +* Zone 181 -> Zone 133 +111 10916 1.00000000 +* Zone 181 -> Zone 134 +111 10917 1.00000000 +* Zone 181 -> Zone 136 +111 10918 1.00000000 +* Zone 181 -> Zone 137 +111 10919 1.00000000 +* Zone 181 -> Zone 138 +111 10920 1.00000000 +* Zone 181 -> Zone 139 +111 10921 1.00000000 +* Zone 181 -> Zone 144 +111 10923 1.00000000 +* Zone 181 -> Zone 145 +111 10924 1.00000000 +* Zone 181 -> Zone 146 +111 10925 1.00000000 +* Zone 181 -> Zone 151 +111 10929 1.00000000 +* Zone 181 -> Zone 152 +111 10930 1.00000000 +* Zone 181 -> Zone 156 +111 10933 1.00000000 +* Zone 181 -> Zone 157 +111 10934 1.00000000 +* Zone 181 -> Zone 158 +111 10935 1.00000000 +* Zone 181 -> Zone 161 +111 10938 1.00000000 +* Zone 181 -> Zone 164 +111 10941 1.00000000 +* Zone 181 -> Zone 165 +111 10942 1.00000000 +* Zone 181 -> Zone 166 +111 10943 1.00000000 +* Zone 181 -> Zone 171 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Zone 182 -> Zone 127 +111 11019 1.00000000 +* Zone 182 -> Zone 128 +111 11020 1.00000000 +* Zone 182 -> Zone 129 +111 11021 1.00000000 +* Zone 182 -> Zone 130 +111 11022 1.00000000 +* Zone 182 -> Zone 131 +111 11023 1.00000000 +* Zone 182 -> Zone 133 +111 11024 1.00000000 +* Zone 182 -> Zone 134 +111 11025 1.00000000 +* Zone 182 -> Zone 138 +111 11026 1.00000000 +* Zone 182 -> Zone 152 +111 11029 1.00000000 +* Zone 182 -> Zone 161 +111 11031 1.00000000 +* Zone 182 -> Zone 164 +111 11034 1.00000000 +* Zone 182 -> Zone 165 +111 11035 1.00000000 +* Zone 182 -> Zone 166 +111 11036 1.00000000 +* Zone 182 -> Zone 171 +111 11040 1.00000000 +* Zone 182 -> Zone 172 +111 11041 1.00000000 +* Zone 182 -> Zone 185 +111 11046 1.00000000 +* Zone 182 -> Zone 186 +111 11047 1.00000000 +* Zone 182 -> Zone 187 +111 11048 1.00000000 +* Zone 182 -> Zone 188 +111 11049 1.00000000 +* Zone 182 -> Zone 196 +111 11055 1.00000000 +* Zone 182 -> Zone 197 +111 11056 1.00000000 +* Zone 182 -> Zone 198 +111 11057 1.00000000 +* Zone 182 -> Zone 204 +111 11060 1.00000000 +* Zone 182 -> Zone 211 +111 11065 1.00000000 +* Zone 182 -> Zone 213 +111 11066 1.00000000 +* Zone 182 -> Zone 216 +111 11068 1.00000000 +* Zone 182 -> Zone 225 +111 11069 1.00000000 +* Zone 182 -> Zone 237 +111 11070 1.00000000 +* Zone 182 -> Zone 243 +111 11071 1.00000000 +* Zone 182 -> Zone 254 +111 11072 1.00000000 +* Zone 183 -> Zone 2 +111 11074 1.00000000 +* Zone 183 -> Zone 164 +111 11118 1.00000000 +* Zone 183 -> Zone 165 +111 11119 1.00000000 +* Zone 183 -> Zone 166 +111 11120 1.00000000 +* Zone 183 -> Zone 171 +111 11125 1.00000000 +* Zone 183 -> Zone 172 +111 11126 1.00000000 +* Zone 183 -> Zone 185 +111 11135 1.00000000 +* Zone 183 -> Zone 186 +111 11136 1.00000000 +* Zone 183 -> Zone 187 +111 11137 1.00000000 +* Zone 183 -> Zone 188 +111 11138 1.00000000 +* Zone 183 -> Zone 196 +111 11144 1.00000000 +* Zone 183 -> Zone 197 +111 11145 1.00000000 +* Zone 183 -> Zone 198 +111 11146 1.00000000 +* Zone 183 -> Zone 203 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Zone 184 -> Zone 119 +111 11202 1.00000000 +* Zone 184 -> Zone 121 +111 11203 1.00000000 +* Zone 184 -> Zone 122 +111 11204 1.00000000 +* Zone 184 -> Zone 123 +111 11205 1.00000000 +* Zone 184 -> Zone 124 +111 11206 1.00000000 +* Zone 184 -> Zone 125 +111 11207 1.00000000 +* Zone 184 -> Zone 126 +111 11208 1.00000000 +* Zone 184 -> Zone 127 +111 11209 1.00000000 +* Zone 184 -> Zone 128 +111 11210 1.00000000 +* Zone 184 -> Zone 129 +111 11211 1.00000000 +* Zone 184 -> Zone 130 +111 11212 1.00000000 +* Zone 184 -> Zone 131 +111 11213 1.00000000 +* Zone 184 -> Zone 132 +111 11214 1.00000000 +* Zone 184 -> Zone 133 +111 11215 1.00000000 +* Zone 184 -> Zone 134 +111 11216 1.00000000 +* Zone 184 -> Zone 136 +111 11217 1.00000000 +* Zone 184 -> Zone 137 +111 11218 1.00000000 +* Zone 184 -> Zone 138 +111 11219 1.00000000 +* Zone 184 -> Zone 139 +111 11220 1.00000000 +* Zone 184 -> Zone 142 +111 11222 1.00000000 +* Zone 184 -> Zone 144 +111 11223 1.00000000 +* Zone 184 -> Zone 145 +111 11224 1.00000000 +* Zone 184 -> Zone 146 +111 11225 1.00000000 +* Zone 184 -> Zone 151 +111 11229 1.00000000 +* Zone 184 -> Zone 152 +111 11230 1.00000000 +* Zone 184 -> Zone 153 +111 11231 1.00000000 +* Zone 184 -> Zone 154 +111 11232 1.00000000 +* Zone 184 -> Zone 156 +111 11234 1.00000000 +* Zone 184 -> Zone 157 +111 11235 1.00000000 +* Zone 184 -> Zone 158 +111 11236 1.00000000 +* Zone 184 -> Zone 159 +111 11237 1.00000000 +* Zone 184 -> Zone 161 +111 11239 1.00000000 +* Zone 184 -> Zone 162 +111 11240 1.00000000 +* Zone 184 -> Zone 164 +111 11242 1.00000000 +* Zone 184 -> Zone 165 +111 11243 1.00000000 +* Zone 184 -> Zone 166 +111 11244 1.00000000 +* Zone 184 -> Zone 171 +111 11249 1.00000000 +* Zone 184 -> Zone 172 +111 11250 1.00000000 +* Zone 184 -> Zone 185 +111 11262 1.00000000 +* Zone 184 -> Zone 186 +111 11263 1.00000000 +* Zone 184 -> Zone 187 +111 11264 1.00000000 +* Zone 184 -> Zone 188 +111 11265 1.00000000 +* Zone 184 -> Zone 196 +111 11272 1.00000000 +* Zone 184 -> Zone 197 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Zone 190 -> Zone 112 +111 12081 1.00000000 +* Zone 190 -> Zone 113 +111 12082 1.00000000 +* Zone 190 -> Zone 114 +111 12083 1.00000000 +* Zone 190 -> Zone 115 +111 12084 1.00000000 +* Zone 190 -> Zone 116 +111 12085 1.00000000 +* Zone 190 -> Zone 117 +111 12086 1.00000000 +* Zone 190 -> Zone 118 +111 12087 1.00000000 +* Zone 190 -> Zone 119 +111 12088 1.00000000 +* Zone 190 -> Zone 120 +111 12089 1.00000000 +* Zone 190 -> Zone 121 +111 12090 1.00000000 +* Zone 190 -> Zone 122 +111 12091 1.00000000 +* Zone 190 -> Zone 123 +111 12092 1.00000000 +* Zone 190 -> Zone 124 +111 12093 1.00000000 +* Zone 190 -> Zone 125 +111 12094 1.00000000 +* Zone 190 -> Zone 126 +111 12095 1.00000000 +* Zone 190 -> Zone 127 +111 12096 1.00000000 +* Zone 190 -> Zone 128 +111 12097 1.00000000 +* Zone 190 -> Zone 129 +111 12098 1.00000000 +* Zone 190 -> Zone 130 +111 12099 1.00000000 +* Zone 190 -> Zone 131 +111 12100 1.00000000 +* Zone 190 -> Zone 132 +111 12101 1.00000000 +* Zone 190 -> Zone 133 +111 12102 1.00000000 +* Zone 190 -> Zone 134 +111 12103 1.00000000 +* Zone 190 -> Zone 136 +111 12104 1.00000000 +* Zone 190 -> Zone 137 +111 12105 1.00000000 +* Zone 190 -> Zone 138 +111 12106 1.00000000 +* Zone 190 -> Zone 139 +111 12107 1.00000000 +* Zone 190 -> Zone 142 +111 12109 1.00000000 +* Zone 190 -> Zone 143 +111 12110 1.00000000 +* Zone 190 -> Zone 144 +111 12111 1.00000000 +* Zone 190 -> Zone 145 +111 12112 1.00000000 +* Zone 190 -> Zone 146 +111 12113 1.00000000 +* Zone 190 -> Zone 151 +111 12117 1.00000000 +* Zone 190 -> Zone 152 +111 12118 1.00000000 +* Zone 190 -> Zone 153 +111 12119 1.00000000 +* Zone 190 -> Zone 154 +111 12120 1.00000000 +* Zone 190 -> Zone 156 +111 12122 1.00000000 +* Zone 190 -> Zone 157 +111 12123 1.00000000 +* Zone 190 -> Zone 158 +111 12124 1.00000000 +* Zone 190 -> Zone 159 +111 12125 1.00000000 +* Zone 190 -> Zone 161 +111 12127 1.00000000 +* Zone 190 -> Zone 162 +111 12128 1.00000000 +* Zone 190 -> Zone 164 +111 12130 1.00000000 +* Zone 190 -> Zone 165 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Zone 119 +111 12234 1.00000000 +* Zone 191 -> Zone 121 +111 12235 1.00000000 +* Zone 191 -> Zone 122 +111 12236 1.00000000 +* Zone 191 -> Zone 123 +111 12237 1.00000000 +* Zone 191 -> Zone 124 +111 12238 1.00000000 +* Zone 191 -> Zone 125 +111 12239 1.00000000 +* Zone 191 -> Zone 126 +111 12240 1.00000000 +* Zone 191 -> Zone 127 +111 12241 1.00000000 +* Zone 191 -> Zone 128 +111 12242 1.00000000 +* Zone 191 -> Zone 129 +111 12243 1.00000000 +* Zone 191 -> Zone 130 +111 12244 1.00000000 +* Zone 191 -> Zone 131 +111 12245 1.00000000 +* Zone 191 -> Zone 132 +111 12246 1.00000000 +* Zone 191 -> Zone 133 +111 12247 1.00000000 +* Zone 191 -> Zone 134 +111 12248 1.00000000 +* Zone 191 -> Zone 136 +111 12249 1.00000000 +* Zone 191 -> Zone 137 +111 12250 1.00000000 +* Zone 191 -> Zone 138 +111 12251 1.00000000 +* Zone 191 -> Zone 139 +111 12252 1.00000000 +* Zone 191 -> Zone 142 +111 12254 1.00000000 +* Zone 191 -> Zone 144 +111 12255 1.00000000 +* Zone 191 -> Zone 145 +111 12256 1.00000000 +* Zone 191 -> Zone 146 +111 12257 1.00000000 +* Zone 191 -> Zone 151 +111 12261 1.00000000 +* Zone 191 -> Zone 152 +111 12262 1.00000000 +* Zone 191 -> Zone 153 +111 12263 1.00000000 +* Zone 191 -> Zone 154 +111 12264 1.00000000 +* Zone 191 -> Zone 156 +111 12266 1.00000000 +* Zone 191 -> Zone 157 +111 12267 1.00000000 +* Zone 191 -> Zone 158 +111 12268 1.00000000 +* Zone 191 -> Zone 159 +111 12269 1.00000000 +* Zone 191 -> Zone 161 +111 12271 1.00000000 +* Zone 191 -> Zone 162 +111 12272 1.00000000 +* Zone 191 -> Zone 164 +111 12274 1.00000000 +* Zone 191 -> Zone 165 +111 12275 1.00000000 +* Zone 191 -> Zone 166 +111 12276 1.00000000 +* Zone 191 -> Zone 171 +111 12281 1.00000000 +* Zone 191 -> Zone 172 +111 12282 1.00000000 +* Zone 191 -> Zone 185 +111 12295 1.00000000 +* Zone 191 -> Zone 186 +111 12296 1.00000000 +* Zone 191 -> Zone 187 +111 12297 1.00000000 +* Zone 191 -> Zone 188 +111 12298 1.00000000 +* Zone 191 -> Zone 196 +111 12305 1.00000000 +* Zone 191 -> Zone 197 +111 12306 1.00000000 +* Zone 191 -> Zone 198 +111 12307 1.00000000 +* Zone 191 -> Zone 203 +111 12311 1.00000000 +* Zone 191 -> Zone 204 +111 12312 1.00000000 +* Zone 191 -> Zone 211 +111 12319 1.00000000 +* Zone 191 -> Zone 213 +111 12320 1.00000000 +* Zone 191 -> Zone 215 +111 12322 1.00000000 +* Zone 191 -> Zone 216 +111 12323 1.00000000 +* Zone 191 -> Zone 217 +111 12324 1.00000000 +* Zone 191 -> Zone 218 +111 12325 1.00000000 +* Zone 191 -> Zone 219 +111 12326 1.00000000 +* Zone 191 -> Zone 220 +111 12327 1.00000000 +* Zone 191 -> Zone 222 +111 12328 1.00000000 +* Zone 191 -> Zone 224 +111 12329 1.00000000 +* Zone 191 -> Zone 225 +111 12330 1.00000000 +* Zone 191 -> Zone 226 +111 12331 1.00000000 +* Zone 191 -> Zone 230 +111 12333 1.00000000 +* Zone 191 -> Zone 231 +111 12334 1.00000000 +* Zone 191 -> Zone 232 +111 12335 1.00000000 +* Zone 191 -> Zone 233 +111 12336 1.00000000 +* Zone 191 -> Zone 234 +111 12337 1.00000000 +* Zone 191 -> Zone 235 +111 12338 1.00000000 +* Zone 191 -> Zone 236 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Zone 110 +111 12362 1.00000000 +* Zone 192 -> Zone 111 +111 12363 1.00000000 +* Zone 192 -> Zone 112 +111 12364 1.00000000 +* Zone 192 -> Zone 113 +111 12365 1.00000000 +* Zone 192 -> Zone 115 +111 12366 1.00000000 +* Zone 192 -> Zone 116 +111 12367 1.00000000 +* Zone 192 -> Zone 117 +111 12368 1.00000000 +* Zone 192 -> Zone 118 +111 12369 1.00000000 +* Zone 192 -> Zone 119 +111 12370 1.00000000 +* Zone 192 -> Zone 121 +111 12371 1.00000000 +* Zone 192 -> Zone 122 +111 12372 1.00000000 +* Zone 192 -> Zone 123 +111 12373 1.00000000 +* Zone 192 -> Zone 124 +111 12374 1.00000000 +* Zone 192 -> Zone 125 +111 12375 1.00000000 +* Zone 192 -> Zone 126 +111 12376 1.00000000 +* Zone 192 -> Zone 127 +111 12377 1.00000000 +* Zone 192 -> Zone 128 +111 12378 1.00000000 +* Zone 192 -> Zone 129 +111 12379 1.00000000 +* Zone 192 -> Zone 130 +111 12380 1.00000000 +* Zone 192 -> Zone 131 +111 12381 1.00000000 +* Zone 192 -> Zone 132 +111 12382 1.00000000 +* Zone 192 -> Zone 133 +111 12383 1.00000000 +* Zone 192 -> Zone 134 +111 12384 1.00000000 +* Zone 192 -> Zone 136 +111 12385 1.00000000 +* Zone 192 -> Zone 137 +111 12386 1.00000000 +* Zone 192 -> Zone 138 +111 12387 1.00000000 +* Zone 192 -> Zone 139 +111 12388 1.00000000 +* Zone 192 -> Zone 142 +111 12390 1.00000000 +* Zone 192 -> Zone 144 +111 12391 1.00000000 +* Zone 192 -> Zone 145 +111 12392 1.00000000 +* Zone 192 -> Zone 146 +111 12393 1.00000000 +* Zone 192 -> Zone 151 +111 12397 1.00000000 +* Zone 192 -> Zone 152 +111 12398 1.00000000 +* Zone 192 -> Zone 153 +111 12399 1.00000000 +* Zone 192 -> Zone 154 +111 12400 1.00000000 +* Zone 192 -> Zone 156 +111 12402 1.00000000 +* Zone 192 -> Zone 157 +111 12403 1.00000000 +* Zone 192 -> Zone 158 +111 12404 1.00000000 +* Zone 192 -> Zone 159 +111 12405 1.00000000 +* Zone 192 -> Zone 161 +111 12407 1.00000000 +* Zone 192 -> Zone 162 +111 12408 1.00000000 +* Zone 192 -> Zone 164 +111 12410 1.00000000 +* Zone 192 -> Zone 165 +111 12411 1.00000000 +* Zone 192 -> Zone 166 +111 12412 1.00000000 +* Zone 192 -> Zone 171 +111 12417 1.00000000 +* Zone 192 -> Zone 172 +111 12418 1.00000000 +* Zone 192 -> Zone 185 +111 12431 1.00000000 +* Zone 192 -> Zone 186 +111 12432 1.00000000 +* Zone 192 -> Zone 187 +111 12433 1.00000000 +* Zone 192 -> Zone 188 +111 12434 1.00000000 +* Zone 192 -> Zone 196 +111 12441 1.00000000 +* Zone 192 -> Zone 197 +111 12442 1.00000000 +* Zone 192 -> Zone 198 +111 12443 1.00000000 +* Zone 192 -> Zone 203 +111 12447 1.00000000 +* Zone 192 -> Zone 204 +111 12448 1.00000000 +* Zone 192 -> Zone 211 +111 12455 1.00000000 +* Zone 192 -> Zone 213 +111 12456 1.00000000 +* Zone 192 -> Zone 215 +111 12458 1.00000000 +* Zone 192 -> Zone 216 +111 12459 1.00000000 +* Zone 192 -> Zone 217 +111 12460 1.00000000 +* Zone 192 -> Zone 218 +111 12461 1.00000000 +* Zone 192 -> Zone 219 +111 12462 1.00000000 +* Zone 192 -> Zone 220 +111 12463 1.00000000 +* Zone 192 -> Zone 222 +111 12464 1.00000000 +* Zone 192 -> Zone 224 +111 12465 1.00000000 +* Zone 192 -> Zone 225 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Zone 193 -> Zone 123 +111 12512 1.00000000 +* Zone 193 -> Zone 124 +111 12513 1.00000000 +* Zone 193 -> Zone 125 +111 12514 1.00000000 +* Zone 193 -> Zone 126 +111 12515 1.00000000 +* Zone 193 -> Zone 127 +111 12516 1.00000000 +* Zone 193 -> Zone 128 +111 12517 1.00000000 +* Zone 193 -> Zone 129 +111 12518 1.00000000 +* Zone 193 -> Zone 130 +111 12519 1.00000000 +* Zone 193 -> Zone 131 +111 12520 1.00000000 +* Zone 193 -> Zone 132 +111 12521 1.00000000 +* Zone 193 -> Zone 133 +111 12522 1.00000000 +* Zone 193 -> Zone 134 +111 12523 1.00000000 +* Zone 193 -> Zone 136 +111 12524 1.00000000 +* Zone 193 -> Zone 137 +111 12525 1.00000000 +* Zone 193 -> Zone 138 +111 12526 1.00000000 +* Zone 193 -> Zone 139 +111 12527 1.00000000 +* Zone 193 -> Zone 142 +111 12529 1.00000000 +* Zone 193 -> Zone 143 +111 12530 1.00000000 +* Zone 193 -> Zone 144 +111 12531 1.00000000 +* Zone 193 -> Zone 145 +111 12532 1.00000000 +* Zone 193 -> Zone 146 +111 12533 1.00000000 +* Zone 193 -> Zone 151 +111 12537 1.00000000 +* Zone 193 -> Zone 152 +111 12538 1.00000000 +* Zone 193 -> Zone 153 +111 12539 1.00000000 +* Zone 193 -> Zone 154 +111 12540 1.00000000 +* Zone 193 -> Zone 156 +111 12542 1.00000000 +* Zone 193 -> Zone 157 +111 12543 1.00000000 +* Zone 193 -> Zone 158 +111 12544 1.00000000 +* Zone 193 -> Zone 159 +111 12545 1.00000000 +* Zone 193 -> Zone 161 +111 12547 1.00000000 +* Zone 193 -> Zone 162 +111 12548 1.00000000 +* Zone 193 -> Zone 164 +111 12550 1.00000000 +* Zone 193 -> Zone 165 +111 12551 1.00000000 +* Zone 193 -> Zone 166 +111 12552 1.00000000 +* Zone 193 -> Zone 171 +111 12557 1.00000000 +* Zone 193 -> Zone 172 +111 12558 1.00000000 +* Zone 193 -> Zone 185 +111 12571 1.00000000 +* Zone 193 -> Zone 186 +111 12572 1.00000000 +* Zone 193 -> Zone 187 +111 12573 1.00000000 +* Zone 193 -> Zone 188 +111 12574 1.00000000 +* Zone 193 -> Zone 196 +111 12582 1.00000000 +* Zone 193 -> Zone 197 +111 12583 1.00000000 +* Zone 193 -> Zone 198 +111 12584 1.00000000 +* Zone 193 -> Zone 203 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Zone 194 -> Zone 131 +111 12642 1.00000000 +* Zone 194 -> Zone 133 +111 12643 1.00000000 +* Zone 194 -> Zone 134 +111 12644 1.00000000 +* Zone 194 -> Zone 138 +111 12645 1.00000000 +* Zone 194 -> Zone 145 +111 12646 1.00000000 +* Zone 194 -> Zone 161 +111 12648 1.00000000 +* Zone 194 -> Zone 164 +111 12649 1.00000000 +* Zone 194 -> Zone 165 +111 12650 1.00000000 +* Zone 194 -> Zone 172 +111 12653 1.00000000 +* Zone 194 -> Zone 185 +111 12657 1.00000000 +* Zone 194 -> Zone 186 +111 12658 1.00000000 +* Zone 194 -> Zone 187 +111 12659 1.00000000 +* Zone 194 -> Zone 188 +111 12660 1.00000000 +* Zone 194 -> Zone 197 +111 12663 1.00000000 +* Zone 194 -> Zone 198 +111 12664 1.00000000 +* Zone 194 -> Zone 204 +111 12666 1.00000000 +* Zone 194 -> Zone 211 +111 12670 1.00000000 +* Zone 194 -> Zone 216 +111 12672 1.00000000 +* Zone 194 -> Zone 225 +111 12673 1.00000000 +* Zone 194 -> Zone 230 +111 12674 1.00000000 +* Zone 194 -> Zone 231 +111 12675 1.00000000 +* Zone 194 -> Zone 237 +111 12676 1.00000000 +* Zone 194 -> Zone 243 +111 12677 1.00000000 +* Zone 194 -> Zone 246 +111 12678 1.00000000 +* Zone 195 -> Zone 1 +111 12679 1.00000000 +* Zone 195 -> Zone 2 +111 12680 1.00000000 +* Zone 195 -> Zone 105 +111 12682 1.00000000 +* Zone 195 -> Zone 106 +111 12683 1.00000000 +* Zone 195 -> Zone 109 +111 12684 1.00000000 +* Zone 195 -> Zone 110 +111 12685 1.00000000 +* Zone 195 -> Zone 111 +111 12686 1.00000000 +* Zone 195 -> Zone 112 +111 12687 1.00000000 +* Zone 195 -> Zone 113 +111 12688 1.00000000 +* Zone 195 -> Zone 115 +111 12689 1.00000000 +* Zone 195 -> Zone 118 +111 12690 1.00000000 +* Zone 195 -> Zone 119 +111 12691 1.00000000 +* Zone 195 -> Zone 121 +111 12692 1.00000000 +* Zone 195 -> Zone 122 +111 12693 1.00000000 +* Zone 195 -> Zone 123 +111 12694 1.00000000 +* Zone 195 -> Zone 124 +111 12695 1.00000000 +* Zone 195 -> Zone 125 +111 12696 1.00000000 +* Zone 195 -> Zone 126 +111 12697 1.00000000 +* Zone 195 -> Zone 127 +111 12698 1.00000000 +* Zone 195 -> Zone 128 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1.00000000 +* Zone 195 -> Zone 255 +111 12803 1.00000000 +* Zone 200 -> Zone 1 +111 13392 1.00000000 +* Zone 200 -> Zone 102 +111 13396 1.00000000 +* Zone 200 -> Zone 105 +111 13397 1.00000000 +* Zone 200 -> Zone 106 +111 13398 1.00000000 +* Zone 200 -> Zone 107 +111 13399 1.00000000 +* Zone 200 -> Zone 108 +111 13400 1.00000000 +* Zone 200 -> Zone 109 +111 13401 1.00000000 +* Zone 200 -> Zone 110 +111 13402 1.00000000 +* Zone 200 -> Zone 111 +111 13403 1.00000000 +* Zone 200 -> Zone 112 +111 13404 1.00000000 +* Zone 200 -> Zone 113 +111 13405 1.00000000 +* Zone 200 -> Zone 114 +111 13406 1.00000000 +* Zone 200 -> Zone 115 +111 13407 1.00000000 +* Zone 200 -> Zone 116 +111 13408 1.00000000 +* Zone 200 -> Zone 117 +111 13409 1.00000000 +* Zone 200 -> Zone 118 +111 13410 1.00000000 +* Zone 200 -> Zone 119 +111 13411 1.00000000 +* Zone 200 -> Zone 120 +111 13412 1.00000000 +* Zone 200 -> Zone 121 +111 13413 1.00000000 +* Zone 200 -> Zone 122 +111 13414 1.00000000 +* Zone 200 -> Zone 123 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1.00000000 +* Zone 199 -> Zone 131 +113 13278 1.00000000 +* Zone 199 -> Zone 132 +113 13279 1.00000000 +* Zone 199 -> Zone 133 +113 13280 1.00000000 +* Zone 199 -> Zone 134 +113 13281 1.00000000 +* Zone 199 -> Zone 136 +113 13282 1.00000000 +* Zone 199 -> Zone 137 +113 13283 1.00000000 +* Zone 199 -> Zone 138 +113 13284 1.00000000 +* Zone 199 -> Zone 139 +113 13285 1.00000000 +* Zone 199 -> Zone 140 +113 13286 1.00000000 +* Zone 199 -> Zone 142 +113 13287 1.00000000 +* Zone 199 -> Zone 143 +113 13288 1.00000000 +* Zone 199 -> Zone 144 +113 13289 1.00000000 +* Zone 199 -> Zone 145 +113 13290 1.00000000 +* Zone 199 -> Zone 146 +113 13291 1.00000000 +* Zone 199 -> Zone 148 +113 13292 1.00000000 +* Zone 199 -> Zone 151 +113 13295 1.00000000 +* Zone 199 -> Zone 152 +113 13296 1.00000000 +* Zone 199 -> Zone 153 +113 13297 1.00000000 +* Zone 199 -> Zone 154 +113 13298 1.00000000 +* Zone 199 -> Zone 155 +113 13299 1.00000000 +* Zone 199 -> Zone 158 +113 13302 1.00000000 +* Zone 199 -> Zone 159 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Zone 117 +113 13783 1.00000000 +* Zone 203 -> Zone 118 +113 13784 1.00000000 +* Zone 203 -> Zone 119 +113 13785 1.00000000 +* Zone 203 -> Zone 121 +113 13786 1.00000000 +* Zone 203 -> Zone 122 +113 13787 1.00000000 +* Zone 203 -> Zone 123 +113 13788 1.00000000 +* Zone 203 -> Zone 124 +113 13789 1.00000000 +* Zone 203 -> Zone 125 +113 13790 1.00000000 +* Zone 203 -> Zone 126 +113 13791 1.00000000 +* Zone 203 -> Zone 127 +113 13792 1.00000000 +* Zone 203 -> Zone 128 +113 13793 1.00000000 +* Zone 203 -> Zone 129 +113 13794 1.00000000 +* Zone 203 -> Zone 130 +113 13795 1.00000000 +* Zone 203 -> Zone 131 +113 13796 1.00000000 +* Zone 203 -> Zone 132 +113 13797 1.00000000 +* Zone 203 -> Zone 133 +113 13798 1.00000000 +* Zone 203 -> Zone 134 +113 13799 1.00000000 +* Zone 203 -> Zone 136 +113 13800 1.00000000 +* Zone 203 -> Zone 137 +113 13801 1.00000000 +* Zone 203 -> Zone 138 +113 13802 1.00000000 +* Zone 203 -> Zone 139 +113 13803 1.00000000 +* Zone 203 -> Zone 140 +113 13804 1.00000000 +* Zone 203 -> Zone 142 +113 13805 1.00000000 +* Zone 203 -> Zone 145 +113 13808 1.00000000 +* Zone 203 -> Zone 146 +113 13809 1.00000000 +* Zone 203 -> Zone 148 +113 13810 1.00000000 +* Zone 203 -> Zone 149 +113 13811 1.00000000 +* Zone 203 -> Zone 150 +113 13812 1.00000000 +* Zone 203 -> Zone 153 +113 13815 1.00000000 +* Zone 203 -> Zone 154 +113 13816 1.00000000 +* Zone 203 -> Zone 155 +113 13817 1.00000000 +* Zone 203 -> Zone 158 +113 13820 1.00000000 +* Zone 203 -> Zone 159 +113 13821 1.00000000 +* Zone 203 -> Zone 160 +113 13822 1.00000000 +* Zone 203 -> Zone 162 +113 13824 1.00000000 +* Zone 203 -> Zone 163 +113 13825 1.00000000 +* Zone 203 -> Zone 167 +113 13829 1.00000000 +* Zone 203 -> Zone 168 +113 13830 1.00000000 +* Zone 203 -> Zone 169 +113 13831 1.00000000 +* Zone 203 -> Zone 170 +113 13832 1.00000000 +* Zone 203 -> Zone 173 +113 13835 1.00000000 +* Zone 203 -> Zone 174 +113 13836 1.00000000 +* Zone 203 -> Zone 175 +113 13837 1.00000000 +* Zone 203 -> Zone 176 +113 13838 1.00000000 +* Zone 203 -> Zone 177 +113 13839 1.00000000 +* Zone 203 -> Zone 178 +113 13840 1.00000000 +* Zone 203 -> Zone 179 +113 13841 1.00000000 +* Zone 203 -> Zone 180 +113 13842 1.00000000 +* Zone 203 -> Zone 181 +113 13843 1.00000000 +* Zone 203 -> Zone 183 +113 13844 1.00000000 +* Zone 203 -> Zone 184 +113 13845 1.00000000 +* Zone 203 -> Zone 191 +113 13852 1.00000000 +* Zone 203 -> Zone 192 +113 13853 1.00000000 +* Zone 203 -> Zone 193 +113 13854 1.00000000 +* Zone 203 -> Zone 195 +113 13855 1.00000000 +* Zone 203 -> Zone 202 +113 13862 1.00000000 +* Zone 204 -> Zone 1 +113 13909 1.00000000 +* Zone 204 -> Zone 3 +113 13911 1.00000000 +* Zone 204 -> Zone 103 +113 13913 1.00000000 +* Zone 204 -> Zone 105 +113 13914 1.00000000 +* Zone 204 -> Zone 106 +113 13915 1.00000000 +* Zone 204 -> Zone 107 +113 13916 1.00000000 +* Zone 204 -> Zone 108 +113 13917 1.00000000 +* Zone 204 -> Zone 109 +113 13918 1.00000000 +* Zone 204 -> Zone 110 +113 13919 1.00000000 +* Zone 204 -> Zone 111 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1.00000000 +* Zone 205 -> Zone 105 +113 14063 1.00000000 +* Zone 205 -> Zone 106 +113 14064 1.00000000 +* Zone 205 -> Zone 107 +113 14065 1.00000000 +* Zone 205 -> Zone 108 +113 14066 1.00000000 +* Zone 205 -> Zone 109 +113 14067 1.00000000 +* Zone 205 -> Zone 110 +113 14068 1.00000000 +* Zone 205 -> Zone 111 +113 14069 1.00000000 +* Zone 205 -> Zone 112 +113 14070 1.00000000 +* Zone 205 -> Zone 113 +113 14071 1.00000000 +* Zone 205 -> Zone 114 +113 14072 1.00000000 +* Zone 205 -> Zone 115 +113 14073 1.00000000 +* Zone 205 -> Zone 116 +113 14074 1.00000000 +* Zone 205 -> Zone 117 +113 14075 1.00000000 +* Zone 205 -> Zone 118 +113 14076 1.00000000 +* Zone 205 -> Zone 119 +113 14077 1.00000000 +* Zone 205 -> Zone 121 +113 14078 1.00000000 +* Zone 205 -> Zone 122 +113 14079 1.00000000 +* Zone 205 -> Zone 123 +113 14080 1.00000000 +* Zone 205 -> Zone 124 +113 14081 1.00000000 +* Zone 205 -> Zone 125 +113 14082 1.00000000 +* Zone 205 -> Zone 126 +113 14083 1.00000000 +* Zone 205 -> Zone 127 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Zone 206 -> Zone 118 +113 14221 1.00000000 +* Zone 206 -> Zone 119 +113 14222 1.00000000 +* Zone 206 -> Zone 120 +113 14223 1.00000000 +* Zone 206 -> Zone 121 +113 14224 1.00000000 +* Zone 206 -> Zone 122 +113 14225 1.00000000 +* Zone 206 -> Zone 123 +113 14226 1.00000000 +* Zone 206 -> Zone 124 +113 14227 1.00000000 +* Zone 206 -> Zone 125 +113 14228 1.00000000 +* Zone 206 -> Zone 126 +113 14229 1.00000000 +* Zone 206 -> Zone 127 +113 14230 1.00000000 +* Zone 206 -> Zone 128 +113 14231 1.00000000 +* Zone 206 -> Zone 129 +113 14232 1.00000000 +* Zone 206 -> Zone 130 +113 14233 1.00000000 +* Zone 206 -> Zone 131 +113 14234 1.00000000 +* Zone 206 -> Zone 132 +113 14235 1.00000000 +* Zone 206 -> Zone 133 +113 14236 1.00000000 +* Zone 206 -> Zone 134 +113 14237 1.00000000 +* Zone 206 -> Zone 136 +113 14238 1.00000000 +* Zone 206 -> Zone 137 +113 14239 1.00000000 +* Zone 206 -> Zone 138 +113 14240 1.00000000 +* Zone 206 -> Zone 139 +113 14241 1.00000000 +* Zone 206 -> Zone 140 +113 14242 1.00000000 +* Zone 206 -> Zone 142 +113 14243 1.00000000 +* Zone 206 -> Zone 145 +113 14246 1.00000000 +* Zone 206 -> Zone 146 +113 14247 1.00000000 +* Zone 206 -> Zone 148 +113 14248 1.00000000 +* Zone 206 -> Zone 153 +113 14253 1.00000000 +* Zone 206 -> Zone 154 +113 14254 1.00000000 +* Zone 206 -> Zone 155 +113 14255 1.00000000 +* Zone 206 -> Zone 158 +113 14258 1.00000000 +* Zone 206 -> Zone 159 +113 14259 1.00000000 +* Zone 206 -> Zone 160 +113 14260 1.00000000 +* Zone 206 -> Zone 162 +113 14262 1.00000000 +* Zone 206 -> Zone 163 +113 14263 1.00000000 +* Zone 206 -> Zone 167 +113 14267 1.00000000 +* Zone 206 -> Zone 173 +113 14273 1.00000000 +* Zone 206 -> Zone 175 +113 14275 1.00000000 +* Zone 207 -> Zone 1 +113 14350 1.00000000 +* Zone 207 -> Zone 105 +113 14354 1.00000000 +* Zone 207 -> Zone 106 +113 14355 1.00000000 +* Zone 207 -> Zone 107 +113 14356 1.00000000 +* Zone 207 -> Zone 108 +113 14357 1.00000000 +* Zone 207 -> Zone 109 +113 14358 1.00000000 +* Zone 207 -> Zone 110 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Zone 209 -> Zone 107 +113 14649 1.00000000 +* Zone 209 -> Zone 108 +113 14650 1.00000000 +* Zone 209 -> Zone 109 +113 14651 1.00000000 +* Zone 209 -> Zone 110 +113 14652 1.00000000 +* Zone 209 -> Zone 111 +113 14653 1.00000000 +* Zone 209 -> Zone 112 +113 14654 1.00000000 +* Zone 209 -> Zone 113 +113 14655 1.00000000 +* Zone 209 -> Zone 114 +113 14656 1.00000000 +* Zone 209 -> Zone 115 +113 14657 1.00000000 +* Zone 209 -> Zone 116 +113 14658 1.00000000 +* Zone 209 -> Zone 117 +113 14659 1.00000000 +* Zone 209 -> Zone 118 +113 14660 1.00000000 +* Zone 209 -> Zone 119 +113 14661 1.00000000 +* Zone 209 -> Zone 120 +113 14662 1.00000000 +* Zone 209 -> Zone 121 +113 14663 1.00000000 +* Zone 209 -> Zone 122 +113 14664 1.00000000 +* Zone 209 -> Zone 123 +113 14665 1.00000000 +* Zone 209 -> Zone 124 +113 14666 1.00000000 +* Zone 209 -> Zone 125 +113 14667 1.00000000 +* Zone 209 -> Zone 126 +113 14668 1.00000000 +* Zone 209 -> Zone 127 +113 14669 1.00000000 +* Zone 209 -> Zone 128 +113 14670 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Zone 120 +113 14960 1.00000000 +* Zone 211 -> Zone 121 +113 14961 1.00000000 +* Zone 211 -> Zone 122 +113 14962 1.00000000 +* Zone 211 -> Zone 123 +113 14963 1.00000000 +* Zone 211 -> Zone 124 +113 14964 1.00000000 +* Zone 211 -> Zone 125 +113 14965 1.00000000 +* Zone 211 -> Zone 126 +113 14966 1.00000000 +* Zone 211 -> Zone 127 +113 14967 1.00000000 +* Zone 211 -> Zone 128 +113 14968 1.00000000 +* Zone 211 -> Zone 129 +113 14969 1.00000000 +* Zone 211 -> Zone 130 +113 14970 1.00000000 +* Zone 211 -> Zone 131 +113 14971 1.00000000 +* Zone 211 -> Zone 132 +113 14972 1.00000000 +* Zone 211 -> Zone 133 +113 14973 1.00000000 +* Zone 211 -> Zone 134 +113 14974 1.00000000 +* Zone 211 -> Zone 135 +113 14975 1.00000000 +* Zone 211 -> Zone 136 +113 14976 1.00000000 +* Zone 211 -> Zone 137 +113 14977 1.00000000 +* Zone 211 -> Zone 138 +113 14978 1.00000000 +* Zone 211 -> Zone 139 +113 14979 1.00000000 +* Zone 211 -> Zone 140 +113 14980 1.00000000 +* Zone 211 -> Zone 142 +113 14981 1.00000000 +* Zone 211 -> Zone 145 +113 14984 1.00000000 +* Zone 211 -> Zone 146 +113 14985 1.00000000 +* Zone 211 -> Zone 148 +113 14986 1.00000000 +* Zone 211 -> Zone 149 +113 14987 1.00000000 +* Zone 211 -> Zone 150 +113 14988 1.00000000 +* Zone 211 -> Zone 153 +113 14991 1.00000000 +* Zone 211 -> Zone 154 +113 14992 1.00000000 +* Zone 211 -> Zone 155 +113 14993 1.00000000 +* Zone 211 -> Zone 158 +113 14996 1.00000000 +* Zone 211 -> Zone 159 +113 14997 1.00000000 +* Zone 211 -> Zone 160 +113 14998 1.00000000 +* Zone 211 -> Zone 162 +113 15000 1.00000000 +* Zone 211 -> Zone 163 +113 15001 1.00000000 +* Zone 211 -> Zone 167 +113 15005 1.00000000 +* Zone 211 -> Zone 168 +113 15006 1.00000000 +* Zone 211 -> Zone 169 +113 15007 1.00000000 +* Zone 211 -> Zone 170 +113 15008 1.00000000 +* Zone 211 -> Zone 173 +113 15011 1.00000000 +* Zone 211 -> Zone 174 +113 15012 1.00000000 +* Zone 211 -> Zone 175 +113 15013 1.00000000 +* Zone 211 -> Zone 176 +113 15014 1.00000000 +* Zone 211 -> Zone 177 +113 15015 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Zone 215 -> Zone 112 +113 15430 1.00000000 +* Zone 215 -> Zone 113 +113 15431 1.00000000 +* Zone 215 -> Zone 115 +113 15432 1.00000000 +* Zone 215 -> Zone 116 +113 15433 1.00000000 +* Zone 215 -> Zone 119 +113 15434 1.00000000 +* Zone 215 -> Zone 123 +113 15435 1.00000000 +* Zone 215 -> Zone 124 +113 15436 1.00000000 +* Zone 215 -> Zone 125 +113 15437 1.00000000 +* Zone 215 -> Zone 126 +113 15438 1.00000000 +* Zone 215 -> Zone 127 +113 15439 1.00000000 +* Zone 215 -> Zone 128 +113 15440 1.00000000 +* Zone 215 -> Zone 129 +113 15441 1.00000000 +* Zone 215 -> Zone 130 +113 15442 1.00000000 +* Zone 215 -> Zone 131 +113 15443 1.00000000 +* Zone 215 -> Zone 132 +113 15444 1.00000000 +* Zone 215 -> Zone 133 +113 15445 1.00000000 +* Zone 215 -> Zone 134 +113 15446 1.00000000 +* Zone 215 -> Zone 136 +113 15447 1.00000000 +* Zone 215 -> Zone 138 +113 15448 1.00000000 +* Zone 215 -> Zone 139 +113 15449 1.00000000 +* Zone 215 -> Zone 145 +113 15451 1.00000000 +* Zone 215 -> Zone 146 +113 15452 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Zone 105 +113 16107 1.00000000 +* Zone 220 -> Zone 106 +113 16108 1.00000000 +* Zone 220 -> Zone 107 +113 16109 1.00000000 +* Zone 220 -> Zone 109 +113 16110 1.00000000 +* Zone 220 -> Zone 110 +113 16111 1.00000000 +* Zone 220 -> Zone 111 +113 16112 1.00000000 +* Zone 220 -> Zone 112 +113 16113 1.00000000 +* Zone 220 -> Zone 113 +113 16114 1.00000000 +* Zone 220 -> Zone 114 +113 16115 1.00000000 +* Zone 220 -> Zone 115 +113 16116 1.00000000 +* Zone 220 -> Zone 116 +113 16117 1.00000000 +* Zone 220 -> Zone 117 +113 16118 1.00000000 +* Zone 220 -> Zone 118 +113 16119 1.00000000 +* Zone 220 -> Zone 119 +113 16120 1.00000000 +* Zone 220 -> Zone 121 +113 16121 1.00000000 +* Zone 220 -> Zone 122 +113 16122 1.00000000 +* Zone 220 -> Zone 123 +113 16123 1.00000000 +* Zone 220 -> Zone 124 +113 16124 1.00000000 +* Zone 220 -> Zone 125 +113 16125 1.00000000 +* Zone 220 -> Zone 126 +113 16126 1.00000000 +* Zone 220 -> Zone 127 +113 16127 1.00000000 +* Zone 220 -> Zone 128 +113 16128 1.00000000 +* 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Zone 244 -> Zone 130 +113 18803 1.00000000 +* Zone 244 -> Zone 131 +113 18804 1.00000000 +* Zone 244 -> Zone 133 +113 18805 1.00000000 +* Zone 244 -> Zone 134 +113 18806 1.00000000 +* Zone 244 -> Zone 136 +113 18807 1.00000000 +* Zone 244 -> Zone 137 +113 18808 1.00000000 +* Zone 244 -> Zone 138 +113 18809 1.00000000 +* Zone 244 -> Zone 139 +113 18810 1.00000000 +* Zone 244 -> Zone 140 +113 18811 1.00000000 +* Zone 244 -> Zone 142 +113 18812 1.00000000 +* Zone 244 -> Zone 145 +113 18813 1.00000000 +* Zone 244 -> Zone 146 +113 18814 1.00000000 +* Zone 244 -> Zone 149 +113 18815 1.00000000 +* Zone 244 -> Zone 150 +113 18816 1.00000000 +* Zone 244 -> Zone 154 +113 18818 1.00000000 +* Zone 244 -> Zone 158 +113 18820 1.00000000 +* Zone 244 -> Zone 159 +113 18821 1.00000000 +* Zone 244 -> Zone 162 +113 18823 1.00000000 +* Zone 244 -> Zone 163 +113 18824 1.00000000 +* Zone 244 -> Zone 167 +113 18828 1.00000000 +* Zone 244 -> Zone 168 +113 18829 1.00000000 +* Zone 244 -> Zone 169 +113 18830 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Zone 247 -> Zone 105 +113 19189 1.00000000 +* Zone 247 -> Zone 106 +113 19190 1.00000000 +* Zone 247 -> Zone 109 +113 19191 1.00000000 +* Zone 247 -> Zone 110 +113 19192 1.00000000 +* Zone 247 -> Zone 111 +113 19193 1.00000000 +* Zone 247 -> Zone 112 +113 19194 1.00000000 +* Zone 247 -> Zone 113 +113 19195 1.00000000 +* Zone 247 -> Zone 115 +113 19196 1.00000000 +* Zone 247 -> Zone 116 +113 19197 1.00000000 +* Zone 247 -> Zone 117 +113 19198 1.00000000 +* Zone 247 -> Zone 118 +113 19199 1.00000000 +* Zone 247 -> Zone 119 +113 19200 1.00000000 +* Zone 247 -> Zone 120 +113 19201 1.00000000 +* Zone 247 -> Zone 121 +113 19202 1.00000000 +* Zone 247 -> Zone 122 +113 19203 1.00000000 +* Zone 247 -> Zone 123 +113 19204 1.00000000 +* Zone 247 -> Zone 124 +113 19205 1.00000000 +* Zone 247 -> Zone 125 +113 19206 1.00000000 +* Zone 247 -> Zone 126 +113 19207 1.00000000 +* Zone 247 -> Zone 127 +113 19208 1.00000000 +* Zone 247 -> Zone 128 +113 19209 1.00000000 +* Zone 247 -> Zone 129 +113 19210 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Zone 105 +113 19324 1.00000000 +* Zone 248 -> Zone 106 +113 19325 1.00000000 +* Zone 248 -> Zone 107 +113 19326 1.00000000 +* Zone 248 -> Zone 111 +113 19327 1.00000000 +* Zone 248 -> Zone 112 +113 19328 1.00000000 +* Zone 248 -> Zone 113 +113 19329 1.00000000 +* Zone 248 -> Zone 114 +113 19330 1.00000000 +* Zone 248 -> Zone 115 +113 19331 1.00000000 +* Zone 248 -> Zone 116 +113 19332 1.00000000 +* Zone 248 -> Zone 117 +113 19333 1.00000000 +* Zone 248 -> Zone 119 +113 19334 1.00000000 +* Zone 248 -> Zone 122 +113 19335 1.00000000 +* Zone 248 -> Zone 123 +113 19336 1.00000000 +* Zone 248 -> Zone 124 +113 19337 1.00000000 +* Zone 248 -> Zone 125 +113 19338 1.00000000 +* Zone 248 -> Zone 126 +113 19339 1.00000000 +* Zone 248 -> Zone 127 +113 19340 1.00000000 +* Zone 248 -> Zone 128 +113 19341 1.00000000 +* Zone 248 -> Zone 129 +113 19342 1.00000000 +* Zone 248 -> Zone 130 +113 19343 1.00000000 +* Zone 248 -> Zone 131 +113 19344 1.00000000 +* Zone 248 -> Zone 132 +113 19345 1.00000000 +* 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Zone 225 +117 11167 1.00000000 +* Zone 183 -> Zone 226 +117 11168 1.00000000 +* Zone 183 -> Zone 230 +117 11169 1.00000000 +* Zone 183 -> Zone 231 +117 11170 1.00000000 +* Zone 183 -> Zone 232 +117 11171 1.00000000 +* Zone 183 -> Zone 234 +117 11172 1.00000000 +* Zone 183 -> Zone 236 +117 11173 1.00000000 +* Zone 183 -> Zone 237 +117 11174 1.00000000 +* Zone 183 -> Zone 240 +117 11175 1.00000000 +* Zone 183 -> Zone 241 +117 11176 1.00000000 +* Zone 183 -> Zone 242 +117 11177 1.00000000 +* Zone 183 -> Zone 243 +117 11178 1.00000000 +* Zone 183 -> Zone 245 +117 11179 1.00000000 +* Zone 183 -> Zone 246 +117 11180 1.00000000 +* Zone 183 -> Zone 247 +117 11181 1.00000000 +* Zone 183 -> Zone 249 +117 11182 1.00000000 +* Zone 183 -> Zone 251 +117 11183 1.00000000 +* Zone 183 -> Zone 253 +117 11184 1.00000000 +* Zone 183 -> Zone 254 +117 11185 1.00000000 +* Zone 183 -> Zone 255 +117 11186 1.00000000 +* Zone 184 -> Zone 2 +117 11188 1.00000000 +* Zone 184 -> Zone 185 +117 11262 1.00000000 +* Zone 184 -> Zone 197 +117 11273 1.00000000 +* Zone 184 -> Zone 204 +117 11279 1.00000000 +* Zone 184 -> Zone 211 +117 11286 1.00000000 +* Zone 184 -> Zone 213 +117 11287 1.00000000 +* Zone 184 -> Zone 216 +117 11289 1.00000000 +* Zone 184 -> Zone 217 +117 11290 1.00000000 +* Zone 184 -> Zone 218 +117 11291 1.00000000 +* Zone 184 -> Zone 219 +117 11292 1.00000000 +* Zone 184 -> Zone 220 +117 11293 1.00000000 +* Zone 184 -> Zone 222 +117 11294 1.00000000 +* Zone 184 -> Zone 224 +117 11295 1.00000000 +* Zone 184 -> Zone 225 +117 11296 1.00000000 +* Zone 184 -> Zone 226 +117 11297 1.00000000 +* Zone 184 -> Zone 230 +117 11299 1.00000000 +* Zone 184 -> Zone 231 +117 11300 1.00000000 +* Zone 184 -> Zone 232 +117 11301 1.00000000 +* Zone 184 -> Zone 233 +117 11302 1.00000000 +* Zone 184 -> Zone 234 +117 11303 1.00000000 +* Zone 184 -> Zone 236 +117 11304 1.00000000 +* Zone 184 -> Zone 237 +117 11305 1.00000000 +* Zone 184 -> Zone 240 +117 11306 1.00000000 +* Zone 184 -> Zone 241 +117 11307 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Zone 188 -> Zone 222 +117 11890 1.00000000 +* Zone 188 -> Zone 224 +117 11891 1.00000000 +* Zone 188 -> Zone 225 +117 11892 1.00000000 +* Zone 188 -> Zone 226 +117 11893 1.00000000 +* Zone 188 -> Zone 228 +117 11894 1.00000000 +* Zone 188 -> Zone 230 +117 11896 1.00000000 +* Zone 188 -> Zone 231 +117 11897 1.00000000 +* Zone 188 -> Zone 232 +117 11898 1.00000000 +* Zone 188 -> Zone 233 +117 11899 1.00000000 +* Zone 188 -> Zone 234 +117 11900 1.00000000 +* Zone 188 -> Zone 235 +117 11901 1.00000000 +* Zone 188 -> Zone 236 +117 11902 1.00000000 +* Zone 188 -> Zone 237 +117 11903 1.00000000 +* Zone 188 -> Zone 238 +117 11904 1.00000000 +* Zone 188 -> Zone 239 +117 11905 1.00000000 +* Zone 188 -> Zone 240 +117 11906 1.00000000 +* Zone 188 -> Zone 241 +117 11907 1.00000000 +* Zone 188 -> Zone 242 +117 11908 1.00000000 +* Zone 188 -> Zone 243 +117 11909 1.00000000 +* Zone 188 -> Zone 244 +117 11910 1.00000000 +* Zone 188 -> Zone 245 +117 11911 1.00000000 +* Zone 188 -> Zone 246 +117 11912 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Zone 102 +118 15828 1.00000000 +* Zone 218 -> Zone 105 +118 15829 1.00000000 +* Zone 218 -> Zone 106 +118 15830 1.00000000 +* Zone 218 -> Zone 109 +118 15831 1.00000000 +* Zone 218 -> Zone 110 +118 15832 1.00000000 +* Zone 218 -> Zone 111 +118 15833 1.00000000 +* Zone 218 -> Zone 112 +118 15834 1.00000000 +* Zone 218 -> Zone 113 +118 15835 1.00000000 +* Zone 218 -> Zone 115 +118 15836 1.00000000 +* Zone 218 -> Zone 116 +118 15837 1.00000000 +* Zone 218 -> Zone 117 +118 15838 1.00000000 +* Zone 218 -> Zone 118 +118 15839 1.00000000 +* Zone 218 -> Zone 119 +118 15840 1.00000000 +* Zone 218 -> Zone 121 +118 15841 1.00000000 +* Zone 218 -> Zone 122 +118 15842 1.00000000 +* Zone 218 -> Zone 123 +118 15843 1.00000000 +* Zone 218 -> Zone 124 +118 15844 1.00000000 +* Zone 218 -> Zone 125 +118 15845 1.00000000 +* Zone 218 -> Zone 126 +118 15846 1.00000000 +* Zone 218 -> Zone 127 +118 15847 1.00000000 +* Zone 218 -> Zone 128 +118 15848 1.00000000 +* Zone 218 -> Zone 129 +118 15849 1.00000000 +* 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+116 "" +117 "" +118 "" +119 "" +120 "" +121 "" +122 "" +123 "" +124 "" +125 "" +126 "" +127 "" +128 "" +129 "" +130 "" +131 "" +132 "" +133 "" +134 "" +135 "" +136 "" +137 "" +138 "" +139 "" +140 "" +141 "" +142 "" +143 "" +144 "" +145 "" +146 "" +148 "" +149 "" +150 "" +151 "" +152 "" +153 "" +154 "" +155 "" +156 "" +157 "" +158 "" +159 "" +160 "" +161 "" +162 "" +163 "" +164 "" +165 "" +166 "" +167 "" +168 "" +169 "" +170 "" +171 "" +172 "" +173 "" +174 "" +175 "" +176 "" +177 "" +178 "" +179 "" +180 "" +181 "" +182 "" +183 "" +184 "" +185 "" +186 "" +187 "" +188 "" +189 "" +190 "" +191 "" +192 "" +193 "" +194 "" +195 "" +196 "" +197 "" +198 "" +199 "" +200 "" +201 "" +202 "" +203 "" +204 "" +205 "" +206 "" +207 "" +208 "" +209 "" +210 "" +211 "" +212 "" +213 "" +214 "" +215 "" +216 "" +217 "" +218 "" +219 "" +220 "" +222 "" +224 "" +225 "" +226 "" +228 "" +229 "" +230 "" +231 "" +232 "" +233 "" +234 "" +235 "" +236 "" +237 "" +238 "" +239 "" +240 "" +241 "" +242 "" +243 "" +244 "" +245 "" +246 "" +247 "" +248 "" +249 "" +250 "" +251 "" +252 "" +253 "" +254 "" +255 "" From ec7cf1815a4a2b099ca2a829326373e09bb0a81a Mon Sep 17 00:00:00 2001 From: Chetan Joshi Date: Thu, 28 Jun 2018 06:00:29 -0700 Subject: [PATCH 15/31] push least sq test set to sub-folder --- test_data/{ => least_squares}/FlowMatrixNewport.mtx | 0 test_data/{ => least_squares}/Link_Counts.att | 0 test_data/{ => least_squares}/Seed_OD.mtx | 0 3 files changed, 0 insertions(+), 0 deletions(-) rename test_data/{ => least_squares}/FlowMatrixNewport.mtx (100%) rename test_data/{ => least_squares}/Link_Counts.att (100%) rename test_data/{ => least_squares}/Seed_OD.mtx (100%) diff --git a/test_data/FlowMatrixNewport.mtx b/test_data/least_squares/FlowMatrixNewport.mtx similarity index 100% rename from test_data/FlowMatrixNewport.mtx rename to test_data/least_squares/FlowMatrixNewport.mtx diff --git a/test_data/Link_Counts.att b/test_data/least_squares/Link_Counts.att similarity index 100% rename from test_data/Link_Counts.att rename to test_data/least_squares/Link_Counts.att diff --git a/test_data/Seed_OD.mtx b/test_data/least_squares/Seed_OD.mtx similarity index 100% rename from test_data/Seed_OD.mtx rename to test_data/least_squares/Seed_OD.mtx From 933408c136bc6820268dea0ec34da068b302d204 Mon Sep 17 00:00:00 2001 From: Chetan Joshi Date: Thu, 28 Jun 2018 06:33:36 -0700 Subject: [PATCH 16/31] Update description --- scripts/MatEstimateGradient.py | 5 +++-- 1 file changed, 3 insertions(+), 2 deletions(-) diff --git a/scripts/MatEstimateGradient.py b/scripts/MatEstimateGradient.py index 432f21e..c340d9b 100644 --- a/scripts/MatEstimateGradient.py +++ b/scripts/MatEstimateGradient.py @@ -2,8 +2,9 @@ # Name: MatEstimateGradient # Purpose: OD-matrix estimation with least squares formulation, solution method is with gradient method. See Spiess 1990 # **All input vectors are expected to be numpy arrays, some data exchange steps use methods from Visum for which this -# script was prototyped. User should replace that with appropriately. -# +# script was prototyped. User should replace that with appropriate functions to parse their own data - see sample data +# for some hints on formatting, esp the flow matrix +# # Author: Chetan Joshi, Portland OR # Dependencies:numpy [http://www.numpy.org], scipy [https://www.scipy.org/], time # Created: 12/14/2017 From 65fdd95abb63cff6ac5bbf1e3840564ce15dc83b Mon Sep 17 00:00:00 2001 From: Chetan Joshi Date: Thu, 28 Jun 2018 11:41:21 -0700 Subject: [PATCH 17/31] Update README.md --- README.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/README.md b/README.md index ce7e83a..a3a4253 100644 --- a/README.md +++ b/README.md @@ -11,7 +11,7 @@ Python modules for typical travel demand modeling calculations

License URI: https://opensource.org/licenses/MIT

Description: These are some python scripts that can be used -as modules for performing typicaly calculations in a travel demand model. The +as modules for performing typical calculations in a travel demand model. The expected usage is to put the py file in the site packages or other directory and then to use the import command in python to load the functions in the modules. The documentation for usage of each of the functions is shown in the From 190d4d54d77077a46b3fbf94670892fa75f12127 Mon Sep 17 00:00:00 2001 From: Chetan Joshi Date: Mon, 2 Jul 2018 16:30:27 -0700 Subject: [PATCH 18/31] updated readme --- README.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/README.md b/README.md index a3a4253..5162324 100644 --- a/README.md +++ b/README.md @@ -57,5 +57,5 @@ number of zones

a) MatEstimateGradient : Performs synthetic matrix estimation using a least squares formulation. The solution algorithm is gradient descent (see Spiess, H., "A GRADIENT APPROACH FOR THE O-D MATRIX ADJUSTMENT PROBLEM", Publication 693, CRT, University of Montreal, 1990.)

-

Have fun!

+

If you use some of the components or code in this repo, please consider citing...Have fun!

From 0fa6d69dbc878cbba9b1f5db0dc2dad84bcf2f7a Mon Sep 17 00:00:00 2001 From: Chetan Joshi Date: Tue, 3 Jul 2018 07:02:27 -0700 Subject: [PATCH 19/31] added how to cite --- README.md | 3 ++- 1 file changed, 2 insertions(+), 1 deletion(-) diff --git a/README.md b/README.md index 5162324..8a8bd1d 100644 --- a/README.md +++ b/README.md @@ -57,5 +57,6 @@ number of zones

a) MatEstimateGradient : Performs synthetic matrix estimation using a least squares formulation. The solution algorithm is gradient descent (see Spiess, H., "A GRADIENT APPROACH FOR THE O-D MATRIX ADJUSTMENT PROBLEM", Publication 693, CRT, University of Montreal, 1990.)

-

If you use some of the components or code in this repo, please consider citing...Have fun!

+

If you use some of the components or code in this repo, please consider citing as shown below. Have fun!

+

Joshi. C, python-tdm, (2015), GitHub repository, https://github.com/joshchea/python-tdm#python-tdm

From c6cf773ca661c1c12d37fbea58e8117b29d8036d Mon Sep 17 00:00:00 2001 From: Chetan Joshi Date: Sat, 18 Aug 2018 04:50:34 -0700 Subject: [PATCH 20/31] update header --- test_data/least_squares/Seed_OD.mtx | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/test_data/least_squares/Seed_OD.mtx b/test_data/least_squares/Seed_OD.mtx index 30566b9..c4678a8 100644 --- a/test_data/least_squares/Seed_OD.mtx +++ b/test_data/least_squares/Seed_OD.mtx @@ -4,7 +4,7 @@ $O;D3 * Factor 1.00 * -* PTV America Inc. Portland +* Portland * 06/28/18 1 2 1276.700 1 3 892.050 From 630cb75cf09c0899681c6d16ca483633c910d665 Mon Sep 17 00:00:00 2001 From: Chetan Joshi Date: Sun, 29 Sep 2019 07:54:12 -0700 Subject: [PATCH 21/31] Update CalcDistribution.py Added trip distribution with shadow pricing to balance trip attractions --- scripts/CalcDistribution.py | 54 +++++++++++++++++++++++++++---------- 1 file changed, 40 insertions(+), 14 deletions(-) diff --git a/scripts/CalcDistribution.py b/scripts/CalcDistribution.py index 0930d2a..d9bbba1 100644 --- a/scripts/CalcDistribution.py +++ b/scripts/CalcDistribution.py @@ -9,12 +9,12 @@ # d) CalcMultiFratar : Applies fratar model to given set of trip matrices with multiple target production vectors and one attraction vector # e) CalcMultiDistribute : Applies gravity model to a given set of frication matrices with multiple production vectors and one target attraction vector # -# **All input vectors are expected to be numpy arrays -# +# **All input vectors are expected to be numpy arrays +# # Author: Chetan Joshi, Portland OR # Dependencies:numpy [www.numpy.org] # Created: 5/14/2015 -# +# # Copyright: (c) Chetan Joshi 2015 # Licence: Permission is hereby granted, free of charge, to any person obtaining a copy # of this software and associated documentation files (the "Software"), to deal @@ -61,7 +61,7 @@ def CalcFratar(ProdA, AttrA, Trips1, maxIter = 10): OrigFac = (ProdA/ComputedProductions) Trips1 = Trips1*OrigFac[:, numpy.newaxis] - ComputedAttractions = Trips1.sum(0) + ComputedAttractions = Trips1.sum(0) ComputedAttractions[ComputedAttractions==0]=1 DestFac = (AttrA/ComputedAttractions) Trips1 = Trips1*DestFac @@ -105,9 +105,9 @@ def CalcDoublyConstrained(ProdA, AttrA, F, maxIter = 10): for balIter in xrange(0, maxIter): for i in range(0,len(ProdA)): Trips1[i,:] = ProdA[i]*AttrA*F[i,:]/max(0.000001, sum(AttrA * F[i,:])) - + #Run 2D balancing ---> - ComputedAttractions = Trips1.sum(0) + ComputedAttractions = Trips1.sum(0) ComputedAttractions[ComputedAttractions==0]=1 AttrA = AttrA*(AttrT/ComputedAttractions) @@ -117,9 +117,36 @@ def CalcDoublyConstrained(ProdA, AttrA, F, maxIter = 10): for i in range(0,len(ProdA)): Trips1[i,:] = ProdA[i]*AttrA*F[i,:]/max(0.000001, sum(AttrA * F[i,:])) - + return Trips1 +def CalcGravityShadow(ProdA, AttrA, F, maxIter = 10): + '''Calculates doubly constrained trip distribution for a given friction factor matrix, + uses shadow pricing at attraction end + ProdA = Production array + AttrA = Attraction array (Target attractions) + F = Friction factor matrix + maxIter (optional) = maximum iterations, default is 10 + Returns trip table + ''' + S = np.ones(ProdA.shape[0]) + T = np.zeros(F.shape) + + AttrA[AttrA<0.000001] = 0.0001 #avoid divide by zero + F[F<0.000001] = 0.0001 + Attr = AttrA * S + + for k in range(maxIter): + if k > 0: + A_calc = T.sum(0) + print('A_calc:' + str(A_calc))) + Attr = Attr * AttrA / A_calc + + for i in range(ProdA.shape[0]): + T[i,:] = ProdA[i] * Attr * F[i, :] / (Attr * F[i, :]).sum() + + return T + def CalcMultiFratar(Prods, Attr, TripMatrices, maxIter =10): '''Applies fratar model to given set of trip matrices with target productions and one attraction vector Prods = Array of Productions (n production segments) @@ -131,24 +158,24 @@ def CalcMultiFratar(Prods, Attr, TripMatrices, maxIter =10): numZones = len(Attr) numTripMats = len(TripMatrices) TripMatrices = numpy.zeros((numTripMats,numZones,numZones)) - + ProdOp = Prods.copy() AttrOp = Attr.copy() #Run 2D balancing ---> - for Iter in xrange(0, maxIter): + for Iter in xrange(0, maxIter): #ComputedAttractions = numpy.ones(numZones) ComputedAttractions = TripMatrices.sum(1).sum(0) ComputedAttractions[ComputedAttractions==0]=1 DestFac = Attr/ComputedAttractions - + for k in xrange(0, len(numTripMats)): TripMatrices[k]=TripMatrices[k]*DestFac ComputedProductions = TripMatrices[k].sum(1) ComputedProductions[ComputedProductions==0]=1 OrigFac = Prods[:,k]/ComputedProductions #P[i, k1, k2, k3]... TripMatrices[k]=TripMatrices[k]*OrigFac[:, numpy.newaxis] - + return TripMatrices def CalcMultiDistribute(Prods, Attr, FricMatrices, maxIter = 10): @@ -171,7 +198,7 @@ def CalcMultiDistribute(Prods, Attr, FricMatrices, maxIter = 10): for i in xrange(0, numZones): if ProdOp[i, k] > 0: TripMatrices[k, i, :] = ProdOp[i, k] * AttrOp * FricMatrices[k, i, :] / max(0.000001, sum(AttrOp * FricMatrices[k, i, :])) - #Balancing ---> + #Balancing ---> ComputedAttractions = TripMatrices.sum(1).sum(0) ComputedAttractions[ComputedAttractions==0]=1 AttrOp = AttrOp*(Attr/ComputedAttractions) @@ -185,6 +212,5 @@ def CalcMultiDistribute(Prods, Attr, FricMatrices, maxIter = 10): for i in xrange(0, numZones): if ProdOp[i, k] > 0: TripMatrices[k, i, :] = ProdOp[i, k] * AttrOp * FricMatrices[k, i, :] / max(0.000001, sum(AttrOp * FricMatrices[k, i, :])) - - return TripMatrices + return TripMatrices From 113cacc9191c524e820f243fd59781943085e445 Mon Sep 17 00:00:00 2001 From: Chetan Joshi Date: Sun, 29 Sep 2019 07:57:13 -0700 Subject: [PATCH 22/31] Update CalcDistribution.py --- scripts/CalcDistribution.py | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/scripts/CalcDistribution.py b/scripts/CalcDistribution.py index d9bbba1..7ddd767 100644 --- a/scripts/CalcDistribution.py +++ b/scripts/CalcDistribution.py @@ -129,8 +129,8 @@ def CalcGravityShadow(ProdA, AttrA, F, maxIter = 10): maxIter (optional) = maximum iterations, default is 10 Returns trip table ''' - S = np.ones(ProdA.shape[0]) - T = np.zeros(F.shape) + S = numpy.ones(ProdA.shape[0]) + T = numpy.zeros(F.shape) AttrA[AttrA<0.000001] = 0.0001 #avoid divide by zero F[F<0.000001] = 0.0001 From f86bd5f0525f07f80fd536a181d1bf63827d1ecc Mon Sep 17 00:00:00 2001 From: Chetan Joshi Date: Sun, 29 Sep 2019 08:07:58 -0700 Subject: [PATCH 23/31] Update CalcDistribution.py --- scripts/CalcDistribution.py | 4 +--- 1 file changed, 1 insertion(+), 3 deletions(-) diff --git a/scripts/CalcDistribution.py b/scripts/CalcDistribution.py index 7ddd767..74b22b4 100644 --- a/scripts/CalcDistribution.py +++ b/scripts/CalcDistribution.py @@ -129,12 +129,10 @@ def CalcGravityShadow(ProdA, AttrA, F, maxIter = 10): maxIter (optional) = maximum iterations, default is 10 Returns trip table ''' - S = numpy.ones(ProdA.shape[0]) T = numpy.zeros(F.shape) - AttrA[AttrA<0.000001] = 0.0001 #avoid divide by zero + Attr = AttrA.copy() F[F<0.000001] = 0.0001 - Attr = AttrA * S for k in range(maxIter): if k > 0: From 41d03f0eeb52ef7e0b26af68c1a795cb58603f10 Mon Sep 17 00:00:00 2001 From: Chetan Joshi Date: Sun, 29 Sep 2019 08:38:23 -0700 Subject: [PATCH 24/31] Update CalcDistribution.py remove production side calculations in multi-distribute --- scripts/CalcDistribution.py | 18 +++++++++--------- 1 file changed, 9 insertions(+), 9 deletions(-) diff --git a/scripts/CalcDistribution.py b/scripts/CalcDistribution.py index 74b22b4..b5ef5c1 100644 --- a/scripts/CalcDistribution.py +++ b/scripts/CalcDistribution.py @@ -200,15 +200,15 @@ def CalcMultiDistribute(Prods, Attr, FricMatrices, maxIter = 10): ComputedAttractions = TripMatrices.sum(1).sum(0) ComputedAttractions[ComputedAttractions==0]=1 AttrOp = AttrOp*(Attr/ComputedAttractions) - for k in xrange(0, len(fricmatnos)): - ComputedProductions = TripMatrices[k].sum(1) - ComputedProductions[ComputedProductions==0]=1 - OrigFac = Prods[:,k]/ComputedProductions - ProdOp[:,k] = OrigFac*ProdOp[:,k] + # for k in xrange(0, len(fricmatnos)): + # ComputedProductions = TripMatrices[k].sum(1) + # ComputedProductions[ComputedProductions==0]=1 + # OrigFac = Prods[:,k]/ComputedProductions + # ProdOp[:,k] = OrigFac*ProdOp[:,k] #Final Distribution ---> - for k in xrange(0, numFricMats): - for i in xrange(0, numZones): - if ProdOp[i, k] > 0: - TripMatrices[k, i, :] = ProdOp[i, k] * AttrOp * FricMatrices[k, i, :] / max(0.000001, sum(AttrOp * FricMatrices[k, i, :])) + # for k in xrange(0, numFricMats): + # for i in xrange(0, numZones): + # if ProdOp[i, k] > 0: + # TripMatrices[k, i, :] = ProdOp[i, k] * AttrOp * FricMatrices[k, i, :] / max(0.000001, sum(AttrOp * FricMatrices[k, i, :])) return TripMatrices From ffc3c22db0d9cf7cbcf15d8dca64691cf1a7a83c Mon Sep 17 00:00:00 2001 From: Chetan Joshi Date: Mon, 30 Sep 2019 10:48:29 -0700 Subject: [PATCH 25/31] Update CalcDistribution.py --- scripts/CalcDistribution.py | 25 ++++++++++--------------- 1 file changed, 10 insertions(+), 15 deletions(-) diff --git a/scripts/CalcDistribution.py b/scripts/CalcDistribution.py index b5ef5c1..ae72c11 100644 --- a/scripts/CalcDistribution.py +++ b/scripts/CalcDistribution.py @@ -189,26 +189,21 @@ def CalcMultiDistribute(Prods, Attr, FricMatrices, maxIter = 10): ProdOp = Prods.copy() AttrOp = Attr.copy() + #Initial trip distribution ---> + for k in xrange(0, numFricMats): + for i in xrange(0, numZones): + if ProdOp[i, k] > 0: + TripMatrices[k, i, :] = ProdOp[i, k] * AttrOp * FricMatrices[k, i, :] / max(0.000001, numpy.sum(AttrOp * FricMatrices[k, i, :])) for Iter in xrange(0, maxIter): - #Distribution ---> - for k in xrange(0, numFricMats): - for i in xrange(0, numZones): - if ProdOp[i, k] > 0: - TripMatrices[k, i, :] = ProdOp[i, k] * AttrOp * FricMatrices[k, i, :] / max(0.000001, sum(AttrOp * FricMatrices[k, i, :])) #Balancing ---> ComputedAttractions = TripMatrices.sum(1).sum(0) ComputedAttractions[ComputedAttractions==0]=1 AttrOp = AttrOp*(Attr/ComputedAttractions) - # for k in xrange(0, len(fricmatnos)): - # ComputedProductions = TripMatrices[k].sum(1) - # ComputedProductions[ComputedProductions==0]=1 - # OrigFac = Prods[:,k]/ComputedProductions - # ProdOp[:,k] = OrigFac*ProdOp[:,k] - #Final Distribution ---> - # for k in xrange(0, numFricMats): - # for i in xrange(0, numZones): - # if ProdOp[i, k] > 0: - # TripMatrices[k, i, :] = ProdOp[i, k] * AttrOp * FricMatrices[k, i, :] / max(0.000001, sum(AttrOp * FricMatrices[k, i, :])) + #Distribution ---> + for k in xrange(0, numFricMats): + for i in xrange(0, numZones): + if ProdOp[i, k] > 0: + TripMatrices[k, i, :] = ProdOp[i, k] * AttrOp * FricMatrices[k, i, :] / max(0.000001, numpy.sum(AttrOp * FricMatrices[k, i, :])) return TripMatrices From 722af5fd8e484dd48c17a4a6e24bc428308b9e39 Mon Sep 17 00:00:00 2001 From: Chetan Joshi Date: Mon, 8 Feb 2021 18:20:18 -0800 Subject: [PATCH 26/31] Update CalcDistribution.py Added a more vectorized version of doubly constrained gravity with factor multiplied across friction matrix. --- scripts/CalcDistribution.py | 19 ++++++++++++++++++- 1 file changed, 18 insertions(+), 1 deletion(-) diff --git a/scripts/CalcDistribution.py b/scripts/CalcDistribution.py index ae72c11..7f7f823 100644 --- a/scripts/CalcDistribution.py +++ b/scripts/CalcDistribution.py @@ -145,7 +145,24 @@ def CalcGravityShadow(ProdA, AttrA, F, maxIter = 10): return T -def CalcMultiFratar(Prods, Attr, TripMatrices, maxIter =10): +def CalcGravity(P, A, F, maxIter=10): + '''A more vectorized verion of doubly constrinaed gravity model + P = Array of zone Productions + A = Array of zone Attractions | also Target attractions + F = Friction factor or transformed utility matrix + ''' + T = A*F*P[:, numpy.newaxis]/numpy.maximum(numpy.sum(A*F, axis=1), 0.00001)[:, numpy.newaxis] + for i in range(maxIter): + cA = T.sum(0) #sum of calculated attractions + factor = numpy.where(A > 0, A/cA, 0) + F = factor*F + T = A*F*P[:, numpy.newaxis]/numpy.maximum(numpy.sum(A*F, axis=1), 0.00001)[:, numpy.newaxis] + cA = T.sum(0) + diff = numpy.absolute(A - cA).max() #maximum absolute difference between target and calculated + print ('final max abs diff: {}'.format(diff)) + return T + +def CalcMultiFratar(Prods, Attr, TripMatrices, maxIter=10): '''Applies fratar model to given set of trip matrices with target productions and one attraction vector Prods = Array of Productions (n production segments) AttrAtt = Array of Attraction ( 1 attraction segment) From dc1ac4eae5067d792187da6e0e066174c807fc0b Mon Sep 17 00:00:00 2001 From: Chetan Joshi Date: Tue, 13 Apr 2021 07:51:11 -0700 Subject: [PATCH 27/31] Update CalibrateGravity.py cleaned up a couple of things to use numpy instead of built-ins --- scripts/CalibrateGravity.py | 20 ++++++++++---------- 1 file changed, 10 insertions(+), 10 deletions(-) diff --git a/scripts/CalibrateGravity.py b/scripts/CalibrateGravity.py index 9f0e169..d38fadd 100644 --- a/scripts/CalibrateGravity.py +++ b/scripts/CalibrateGravity.py @@ -1,11 +1,11 @@ #------------------------------------------------------------------------------- -# Name: Calibrate gravity model +# Name: Calibrate gravity model # Purpose: Calibrates the coefficient for the gravity model with -ve exp friction factor # given an average trip length, skim and P/A vectors # Author: Chetan Joshi, Portland OR # # Created: 5/6/2015 -# +# # Copyright: (c) Chetan Joshi 2015 # Licence: Permission is hereby granted, free of charge, to any person obtaining a copy # of this software and associated documentation files (the "Software"), to deal @@ -25,26 +25,26 @@ # OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE # SOFTWARE. #------------------------------------------------------------------------------- -import numpy +import numpy as np def CalibrateSinglyConstrained(P, A, avg_trip_len, skim, c = -0.1, alpha = 2, max_iter = 10): ProdA = P AttrA = A num_zones = len(P) - trips = numpy.zeros((num_zones, num_zones)) - fric_mat = numpy.exp(c*skim) - + trips = np.zeros((num_zones, num_zones)) + fric_mat = np.exp(c*skim) + for Iter in range(0, max_iter): for i in range(0, num_zones): - trips[i,:] = ProdA[i]*AttrA*fric_mat[i,:]/max(0.000001, sum(AttrA * fric_mat[i,:])) + trips[i,:] = ProdA[i]*AttrA*fric_mat[i,:]/np.maximum(0.000001, np.sum(AttrA * fric_mat[i,:])) model_trip_len = (trips*skim).sum() / trips.sum() c = c*(model_trip_len / avg_trip_len)**alpha - fric_mat = numpy.exp(c*skim) + fric_mat = np.exp(c*skim) print ('iteration: ', Iter, ' coefficient: ', c, ' average trip length (model): ', model_trip_len) - - print ('target average trip length (observed): ', avg_trip_len) + + print ('target average trip length (observed): ', avg_trip_len) print ('final average trip length (model): ', model_trip_len) print ('final logit scaling factor: ', c) return trips #returns final trip matrix corresponding to calibrated coefficient From 66403d227cbca1744cd6f1ba42935e6617a1bfdf Mon Sep 17 00:00:00 2001 From: Chetan Joshi Date: Fri, 29 Apr 2022 09:19:09 -0700 Subject: [PATCH 28/31] Update CalcDistribution.py some cleaning and update to more Python 3+ compatible usage of loops - replace xrange by range etc. --- scripts/CalcDistribution.py | 50 +++++++++++++++++++------------------ 1 file changed, 26 insertions(+), 24 deletions(-) diff --git a/scripts/CalcDistribution.py b/scripts/CalcDistribution.py index 7f7f823..3b3df8a 100644 --- a/scripts/CalcDistribution.py +++ b/scripts/CalcDistribution.py @@ -8,6 +8,7 @@ # friction factor matrix (P and A should be balanced before usage, if not then A is scaled to P) # d) CalcMultiFratar : Applies fratar model to given set of trip matrices with multiple target production vectors and one attraction vector # e) CalcMultiDistribute : Applies gravity model to a given set of frication matrices with multiple production vectors and one target attraction vector +# f) CalcGravityShadow : Implements attraction balancing by scaling attractions instead of furnessing flows, this method is more 'correct' # # **All input vectors are expected to be numpy arrays # @@ -34,7 +35,7 @@ # OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE # SOFTWARE. #--------------------------------------------------------------------------------------------------------------------------------------------------------------------# -import numpy +import numpy as np def CalcFratar(ProdA, AttrA, Trips1, maxIter = 10): '''Calculates fratar trip distribution @@ -55,11 +56,11 @@ def CalcFratar(ProdA, AttrA, Trips1, maxIter = 10): else: print 'Production, attraction balancing OK.' #Run 2D balancing ---> - for balIter in xrange(0, maxIter): + for balIter in range(0, maxIter): ComputedProductions = Trips1.sum(1) ComputedProductions[ComputedProductions==0]=1 OrigFac = (ProdA/ComputedProductions) - Trips1 = Trips1*OrigFac[:, numpy.newaxis] + Trips1 = Trips1*OrigFac[:, np.newaxis] ComputedAttractions = Trips1.sum(0) ComputedAttractions[ComputedAttractions==0]=1 @@ -86,7 +87,7 @@ def CalcDoublyConstrained(ProdA, AttrA, F, maxIter = 10): maxIter (optional) = maximum iterations, default is 10 Returns trip table ''' - Trips1 = numpy.zeros((len(ProdA),len(ProdA))) + Trips1 = np.zeros((len(ProdA),len(ProdA))) print 'Checking production, attraction balancing:' sumP = sum(ProdA) sumA = sum(AttrA) @@ -102,8 +103,8 @@ def CalcDoublyConstrained(ProdA, AttrA, F, maxIter = 10): AttrT = AttrA.copy() ProdT = ProdA.copy() - for balIter in xrange(0, maxIter): - for i in range(0,len(ProdA)): + for balIter in range(0, maxIter): + for i in range(0, len(ProdA)): Trips1[i,:] = ProdA[i]*AttrA*F[i,:]/max(0.000001, sum(AttrA * F[i,:])) #Run 2D balancing ---> @@ -129,7 +130,8 @@ def CalcGravityShadow(ProdA, AttrA, F, maxIter = 10): maxIter (optional) = maximum iterations, default is 10 Returns trip table ''' - T = numpy.zeros(F.shape) + T = np.zeros(F.shape) + AttrA = AttrA*ProdA.sum() / AttrA.sum() #in case P and A totals don't match - balance A to P AttrA[AttrA<0.000001] = 0.0001 #avoid divide by zero Attr = AttrA.copy() F[F<0.000001] = 0.0001 @@ -137,7 +139,7 @@ def CalcGravityShadow(ProdA, AttrA, F, maxIter = 10): for k in range(maxIter): if k > 0: A_calc = T.sum(0) - print('A_calc:' + str(A_calc))) + print('A_calc:' + str(A_calc)) Attr = Attr * AttrA / A_calc for i in range(ProdA.shape[0]): @@ -151,14 +153,14 @@ def CalcGravity(P, A, F, maxIter=10): A = Array of zone Attractions | also Target attractions F = Friction factor or transformed utility matrix ''' - T = A*F*P[:, numpy.newaxis]/numpy.maximum(numpy.sum(A*F, axis=1), 0.00001)[:, numpy.newaxis] + T = A*F*P[:, np.newaxis]/np.maximum(np.sum(A*F, axis=1), 0.00001)[:, np.newaxis] for i in range(maxIter): cA = T.sum(0) #sum of calculated attractions - factor = numpy.where(A > 0, A/cA, 0) + factor = np.where(A > 0, A/cA, 0) F = factor*F - T = A*F*P[:, numpy.newaxis]/numpy.maximum(numpy.sum(A*F, axis=1), 0.00001)[:, numpy.newaxis] + T = A*F*P[:, np.newaxis]/np.maximum(np.sum(A*F, axis=1), 0.00001)[:, np.newaxis] cA = T.sum(0) - diff = numpy.absolute(A - cA).max() #maximum absolute difference between target and calculated + diff = np.absolute(A - cA).max() #maximum absolute difference between target and calculated print ('final max abs diff: {}'.format(diff)) return T @@ -172,24 +174,24 @@ def CalcMultiFratar(Prods, Attr, TripMatrices, maxIter=10): ''' numZones = len(Attr) numTripMats = len(TripMatrices) - TripMatrices = numpy.zeros((numTripMats,numZones,numZones)) + TripMatrices = np.zeros((numTripMats,numZones,numZones)) ProdOp = Prods.copy() AttrOp = Attr.copy() #Run 2D balancing ---> - for Iter in xrange(0, maxIter): + for Iter in range(0, maxIter): #ComputedAttractions = numpy.ones(numZones) ComputedAttractions = TripMatrices.sum(1).sum(0) ComputedAttractions[ComputedAttractions==0]=1 DestFac = Attr/ComputedAttractions - for k in xrange(0, len(numTripMats)): + for k in range(0, len(numTripMats)): TripMatrices[k]=TripMatrices[k]*DestFac ComputedProductions = TripMatrices[k].sum(1) ComputedProductions[ComputedProductions==0]=1 OrigFac = Prods[:,k]/ComputedProductions #P[i, k1, k2, k3]... - TripMatrices[k]=TripMatrices[k]*OrigFac[:, numpy.newaxis] + TripMatrices[k]=TripMatrices[k]*OrigFac[:, np.newaxis] return TripMatrices @@ -201,26 +203,26 @@ def CalcMultiDistribute(Prods, Attr, FricMatrices, maxIter = 10): Returns N-Dim array of trip matrices corresponding to each production segment ''' numZones = len(Attr) - TripMatrices = numpy.zeros(FricMatrices.shape) + TripMatrices = np.zeros(FricMatrices.shape) numFricMats = len(FricMatrices) ProdOp = Prods.copy() AttrOp = Attr.copy() #Initial trip distribution ---> - for k in xrange(0, numFricMats): - for i in xrange(0, numZones): + for k in range(0, numFricMats): + for i in range(0, numZones): if ProdOp[i, k] > 0: - TripMatrices[k, i, :] = ProdOp[i, k] * AttrOp * FricMatrices[k, i, :] / max(0.000001, numpy.sum(AttrOp * FricMatrices[k, i, :])) + TripMatrices[k, i, :] = ProdOp[i, k] * AttrOp * FricMatrices[k, i, :] / max(0.000001, np.sum(AttrOp * FricMatrices[k, i, :])) - for Iter in xrange(0, maxIter): + for Iter in range(0, maxIter): #Balancing ---> ComputedAttractions = TripMatrices.sum(1).sum(0) ComputedAttractions[ComputedAttractions==0]=1 AttrOp = AttrOp*(Attr/ComputedAttractions) #Distribution ---> - for k in xrange(0, numFricMats): - for i in xrange(0, numZones): + for k in range(0, numFricMats): + for i in range(0, numZones): if ProdOp[i, k] > 0: - TripMatrices[k, i, :] = ProdOp[i, k] * AttrOp * FricMatrices[k, i, :] / max(0.000001, numpy.sum(AttrOp * FricMatrices[k, i, :])) + TripMatrices[k, i, :] = ProdOp[i, k] * AttrOp * FricMatrices[k, i, :] / max(0.000001, np.sum(AttrOp * FricMatrices[k, i, :])) return TripMatrices From ac851a2f84900929c7b938572c19aefbddacfd53 Mon Sep 17 00:00:00 2001 From: Chetan Joshi Date: Fri, 29 Apr 2022 09:22:43 -0700 Subject: [PATCH 29/31] Update README.md some cleaning and minor updates for Python 3+ compatibility. --- README.md | 2 ++ 1 file changed, 2 insertions(+) diff --git a/README.md b/README.md index 8a8bd1d..ba8e39a 100644 --- a/README.md +++ b/README.md @@ -36,6 +36,8 @@ trip matrices with multiple target production vectors and one attraction vector< set of friction matrices with multiple production vectors and one target attraction vector

+

e) CalcGravityShadow : Implements attraction balancing by scaling attractions instead of furnessing flows, this method is more 'correct'

+

Choice functions:

a) CalcMultinomialChoice : Calculates a multinomial choice From d9932dd53ef7cf5436d0d1f0aa6c381545ed532f Mon Sep 17 00:00:00 2001 From: Chetan Joshi Date: Fri, 29 Apr 2022 09:23:14 -0700 Subject: [PATCH 30/31] Update README.md --- README.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/README.md b/README.md index ba8e39a..a50e3e4 100644 --- a/README.md +++ b/README.md @@ -36,7 +36,7 @@ trip matrices with multiple target production vectors and one attraction vector< set of friction matrices with multiple production vectors and one target attraction vector

-

e) CalcGravityShadow : Implements attraction balancing by scaling attractions instead of furnessing flows, this method is more 'correct'

+

f) CalcGravityShadow : Implements attraction balancing by scaling attractions instead of furnessing flows, this method is more 'correct'

Choice functions:

From e948a2f1dfd53b4cb4eb6d1fe65fabc1e755de96 Mon Sep 17 00:00:00 2001 From: Chetan Joshi Date: Sat, 30 Apr 2022 14:12:37 -0700 Subject: [PATCH 31/31] Update CalcDistribution.py some more updates for Pytnon 3+ --- scripts/CalcDistribution.py | 12 ++++++------ 1 file changed, 6 insertions(+), 6 deletions(-) diff --git a/scripts/CalcDistribution.py b/scripts/CalcDistribution.py index 3b3df8a..093bb46 100644 --- a/scripts/CalcDistribution.py +++ b/scripts/CalcDistribution.py @@ -46,11 +46,11 @@ def CalcFratar(ProdA, AttrA, Trips1, maxIter = 10): Returns fratared trip table ''' print 'Checking production, attraction balancing:' - sumP = sum(ProdA) - sumA = sum(AttrA) + sumP = ProdA.sum() + sumA = AttrA.sum() print 'Production: ', sumP print 'Attraction: ', sumA - if sumP <> sumA: + if sumP != sumA: print 'Productions and attractions do not balance, attractions will be scaled to productions!' AttrA = AttrA*(sumP/sumA) else: @@ -89,8 +89,8 @@ def CalcDoublyConstrained(ProdA, AttrA, F, maxIter = 10): ''' Trips1 = np.zeros((len(ProdA),len(ProdA))) print 'Checking production, attraction balancing:' - sumP = sum(ProdA) - sumA = sum(AttrA) + sumP = ProdA.sum() + sumA = AttrA.sum() print 'Production: ', sumP print 'Attraction: ', sumA if sumP <> sumA: @@ -105,7 +105,7 @@ def CalcDoublyConstrained(ProdA, AttrA, F, maxIter = 10): for balIter in range(0, maxIter): for i in range(0, len(ProdA)): - Trips1[i,:] = ProdA[i]*AttrA*F[i,:]/max(0.000001, sum(AttrA * F[i,:])) + Trips1[i,:] = ProdA[i]*AttrA*F[i,:]/max(0.000001, np.sum(AttrA * F[i,:])) #Run 2D balancing ---> ComputedAttractions = Trips1.sum(0)