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| <h1>Prosper Loan Data Exploration by Yeqing Zhang</h1> | |
| <pre><code>## [1] 113937 81 | |
| </code></pre> | |
| <pre><code>## ListingKey ListingNumber | |
| ## 17A93590655669644DB4C06: 6 Min. : 4 | |
| ## 349D3587495831350F0F648: 4 1st Qu.: 400919 | |
| ## 47C1359638497431975670B: 4 Median : 600554 | |
| ## 8474358854651984137201C: 4 Mean : 627886 | |
| ## DE8535960513435199406CE: 4 3rd Qu.: 892634 | |
| ## 04C13599434217079754AEE: 3 Max. :1255725 | |
| ## (Other) :113912 | |
| ## ListingCreationDate CreditGrade Term | |
| ## 2013-10-02 17:20:16.550000000: 6 :84984 Min. :12.00 | |
| ## 2013-08-28 20:31:41.107000000: 4 C : 5649 1st Qu.:36.00 | |
| ## 2013-09-08 09:27:44.853000000: 4 D : 5153 Median :36.00 | |
| ## 2013-12-06 05:43:13.830000000: 4 B : 4389 Mean :40.83 | |
| ## 2013-12-06 11:44:58.283000000: 4 AA : 3509 3rd Qu.:36.00 | |
| ## 2013-08-21 07:25:22.360000000: 3 HR : 3508 Max. :60.00 | |
| ## (Other) :113912 (Other): 6745 | |
| ## LoanStatus ClosedDate | |
| ## Current :56576 :58848 | |
| ## Completed :38074 2014-03-04 00:00:00: 105 | |
| ## Chargedoff :11992 2014-02-19 00:00:00: 100 | |
| ## Defaulted : 5018 2014-02-11 00:00:00: 92 | |
| ## Past Due (1-15 days) : 806 2012-10-30 00:00:00: 81 | |
| ## Past Due (31-60 days): 363 2013-02-26 00:00:00: 78 | |
| ## (Other) : 1108 (Other) :54633 | |
| ## BorrowerAPR BorrowerRate LenderYield | |
| ## Min. :0.00653 Min. :0.0000 Min. :-0.0100 | |
| ## 1st Qu.:0.15629 1st Qu.:0.1340 1st Qu.: 0.1242 | |
| ## Median :0.20976 Median :0.1840 Median : 0.1730 | |
| ## Mean :0.21883 Mean :0.1928 Mean : 0.1827 | |
| ## 3rd Qu.:0.28381 3rd Qu.:0.2500 3rd Qu.: 0.2400 | |
| ## Max. :0.51229 Max. :0.4975 Max. : 0.4925 | |
| ## NA's :25 | |
| ## EstimatedEffectiveYield EstimatedLoss EstimatedReturn | |
| ## Min. :-0.183 Min. :0.005 Min. :-0.183 | |
| ## 1st Qu.: 0.116 1st Qu.:0.042 1st Qu.: 0.074 | |
| ## Median : 0.162 Median :0.072 Median : 0.092 | |
| ## Mean : 0.169 Mean :0.080 Mean : 0.096 | |
| ## 3rd Qu.: 0.224 3rd Qu.:0.112 3rd Qu.: 0.117 | |
| ## Max. : 0.320 Max. :0.366 Max. : 0.284 | |
| ## NA's :29084 NA's :29084 NA's :29084 | |
| ## ProsperRating..numeric. ProsperRating..Alpha. ProsperScore | |
| ## Min. :1.000 :29084 Min. : 1.00 | |
| ## 1st Qu.:3.000 C :18345 1st Qu.: 4.00 | |
| ## Median :4.000 B :15581 Median : 6.00 | |
| ## Mean :4.072 A :14551 Mean : 5.95 | |
| ## 3rd Qu.:5.000 D :14274 3rd Qu.: 8.00 | |
| ## Max. :7.000 E : 9795 Max. :11.00 | |
| ## NA's :29084 (Other):12307 NA's :29084 | |
| ## ListingCategory..numeric. BorrowerState | |
| ## Min. : 0.000 CA :14717 | |
| ## 1st Qu.: 1.000 TX : 6842 | |
| ## Median : 1.000 NY : 6729 | |
| ## Mean : 2.774 FL : 6720 | |
| ## 3rd Qu.: 3.000 IL : 5921 | |
| ## Max. :20.000 : 5515 | |
| ## (Other):67493 | |
| ## Occupation EmploymentStatus | |
| ## Other :28617 Employed :67322 | |
| ## Professional :13628 Full-time :26355 | |
| ## Computer Programmer : 4478 Self-employed: 6134 | |
| ## Executive : 4311 Not available: 5347 | |
| ## Teacher : 3759 Other : 3806 | |
| ## Administrative Assistant: 3688 : 2255 | |
| ## (Other) :55456 (Other) : 2718 | |
| ## EmploymentStatusDuration IsBorrowerHomeowner CurrentlyInGroup | |
| ## Min. : 0.00 False:56459 False:101218 | |
| ## 1st Qu.: 26.00 True :57478 True : 12719 | |
| ## Median : 67.00 | |
| ## Mean : 96.07 | |
| ## 3rd Qu.:137.00 | |
| ## Max. :755.00 | |
| ## NA's :7625 | |
| ## GroupKey DateCreditPulled | |
| ## :100596 2013-12-23 09:38:12: 6 | |
| ## 783C3371218786870A73D20: 1140 2013-11-21 09:09:41: 4 | |
| ## 3D4D3366260257624AB272D: 916 2013-12-06 05:43:16: 4 | |
| ## 6A3B336601725506917317E: 698 2014-01-14 20:17:49: 4 | |
| ## FEF83377364176536637E50: 611 2014-02-09 12:14:41: 4 | |
| ## C9643379247860156A00EC0: 342 2013-09-27 22:04:54: 3 | |
| ## (Other) : 9634 (Other) :113912 | |
| ## CreditScoreRangeLower CreditScoreRangeUpper | |
| ## Min. : 0.0 Min. : 19.0 | |
| ## 1st Qu.:660.0 1st Qu.:679.0 | |
| ## Median :680.0 Median :699.0 | |
| ## Mean :685.6 Mean :704.6 | |
| ## 3rd Qu.:720.0 3rd Qu.:739.0 | |
| ## Max. :880.0 Max. :899.0 | |
| ## NA's :591 NA's :591 | |
| ## FirstRecordedCreditLine CurrentCreditLines OpenCreditLines | |
| ## : 697 Min. : 0.00 Min. : 0.00 | |
| ## 1993-12-01 00:00:00: 185 1st Qu.: 7.00 1st Qu.: 6.00 | |
| ## 1994-11-01 00:00:00: 178 Median :10.00 Median : 9.00 | |
| ## 1995-11-01 00:00:00: 168 Mean :10.32 Mean : 9.26 | |
| ## 1990-04-01 00:00:00: 161 3rd Qu.:13.00 3rd Qu.:12.00 | |
| ## 1995-03-01 00:00:00: 159 Max. :59.00 Max. :54.00 | |
| ## (Other) :112389 NA's :7604 NA's :7604 | |
| ## TotalCreditLinespast7years OpenRevolvingAccounts | |
| ## Min. : 2.00 Min. : 0.00 | |
| ## 1st Qu.: 17.00 1st Qu.: 4.00 | |
| ## Median : 25.00 Median : 6.00 | |
| ## Mean : 26.75 Mean : 6.97 | |
| ## 3rd Qu.: 35.00 3rd Qu.: 9.00 | |
| ## Max. :136.00 Max. :51.00 | |
| ## NA's :697 | |
| ## OpenRevolvingMonthlyPayment InquiriesLast6Months TotalInquiries | |
| ## Min. : 0.0 Min. : 0.000 Min. : 0.000 | |
| ## 1st Qu.: 114.0 1st Qu.: 0.000 1st Qu.: 2.000 | |
| ## Median : 271.0 Median : 1.000 Median : 4.000 | |
| ## Mean : 398.3 Mean : 1.435 Mean : 5.584 | |
| ## 3rd Qu.: 525.0 3rd Qu.: 2.000 3rd Qu.: 7.000 | |
| ## Max. :14985.0 Max. :105.000 Max. :379.000 | |
| ## NA's :697 NA's :1159 | |
| ## CurrentDelinquencies AmountDelinquent DelinquenciesLast7Years | |
| ## Min. : 0.0000 Min. : 0.0 Min. : 0.000 | |
| ## 1st Qu.: 0.0000 1st Qu.: 0.0 1st Qu.: 0.000 | |
| ## Median : 0.0000 Median : 0.0 Median : 0.000 | |
| ## Mean : 0.5921 Mean : 984.5 Mean : 4.155 | |
| ## 3rd Qu.: 0.0000 3rd Qu.: 0.0 3rd Qu.: 3.000 | |
| ## Max. :83.0000 Max. :463881.0 Max. :99.000 | |
| ## NA's :697 NA's :7622 NA's :990 | |
| ## PublicRecordsLast10Years PublicRecordsLast12Months RevolvingCreditBalance | |
| ## Min. : 0.0000 Min. : 0.000 Min. : 0 | |
| ## 1st Qu.: 0.0000 1st Qu.: 0.000 1st Qu.: 3121 | |
| ## Median : 0.0000 Median : 0.000 Median : 8549 | |
| ## Mean : 0.3126 Mean : 0.015 Mean : 17599 | |
| ## 3rd Qu.: 0.0000 3rd Qu.: 0.000 3rd Qu.: 19521 | |
| ## Max. :38.0000 Max. :20.000 Max. :1435667 | |
| ## NA's :697 NA's :7604 NA's :7604 | |
| ## BankcardUtilization AvailableBankcardCredit TotalTrades | |
| ## Min. :0.000 Min. : 0 Min. : 0.00 | |
| ## 1st Qu.:0.310 1st Qu.: 880 1st Qu.: 15.00 | |
| ## Median :0.600 Median : 4100 Median : 22.00 | |
| ## Mean :0.561 Mean : 11210 Mean : 23.23 | |
| ## 3rd Qu.:0.840 3rd Qu.: 13180 3rd Qu.: 30.00 | |
| ## Max. :5.950 Max. :646285 Max. :126.00 | |
| ## NA's :7604 NA's :7544 NA's :7544 | |
| ## TradesNeverDelinquent..percentage. TradesOpenedLast6Months | |
| ## Min. :0.000 Min. : 0.000 | |
| ## 1st Qu.:0.820 1st Qu.: 0.000 | |
| ## Median :0.940 Median : 0.000 | |
| ## Mean :0.886 Mean : 0.802 | |
| ## 3rd Qu.:1.000 3rd Qu.: 1.000 | |
| ## Max. :1.000 Max. :20.000 | |
| ## NA's :7544 NA's :7544 | |
| ## DebtToIncomeRatio IncomeRange IncomeVerifiable | |
| ## Min. : 0.000 $25,000-49,999:32192 False: 8669 | |
| ## 1st Qu.: 0.140 $50,000-74,999:31050 True :105268 | |
| ## Median : 0.220 $100,000+ :17337 | |
| ## Mean : 0.276 $75,000-99,999:16916 | |
| ## 3rd Qu.: 0.320 Not displayed : 7741 | |
| ## Max. :10.010 $1-24,999 : 7274 | |
| ## NA's :8554 (Other) : 1427 | |
| ## StatedMonthlyIncome LoanKey TotalProsperLoans | |
| ## Min. : 0 CB1B37030986463208432A1: 6 Min. :0.00 | |
| ## 1st Qu.: 3200 2DEE3698211017519D7333F: 4 1st Qu.:1.00 | |
| ## Median : 4667 9F4B37043517554537C364C: 4 Median :1.00 | |
| ## Mean : 5608 D895370150591392337ED6D: 4 Mean :1.42 | |
| ## 3rd Qu.: 6825 E6FB37073953690388BC56D: 4 3rd Qu.:2.00 | |
| ## Max. :1750003 0D8F37036734373301ED419: 3 Max. :8.00 | |
| ## (Other) :113912 NA's :91852 | |
| ## TotalProsperPaymentsBilled OnTimeProsperPayments | |
| ## Min. : 0.00 Min. : 0.00 | |
| ## 1st Qu.: 9.00 1st Qu.: 9.00 | |
| ## Median : 16.00 Median : 15.00 | |
| ## Mean : 22.93 Mean : 22.27 | |
| ## 3rd Qu.: 33.00 3rd Qu.: 32.00 | |
| ## Max. :141.00 Max. :141.00 | |
| ## NA's :91852 NA's :91852 | |
| ## ProsperPaymentsLessThanOneMonthLate ProsperPaymentsOneMonthPlusLate | |
| ## Min. : 0.00 Min. : 0.00 | |
| ## 1st Qu.: 0.00 1st Qu.: 0.00 | |
| ## Median : 0.00 Median : 0.00 | |
| ## Mean : 0.61 Mean : 0.05 | |
| ## 3rd Qu.: 0.00 3rd Qu.: 0.00 | |
| ## Max. :42.00 Max. :21.00 | |
| ## NA's :91852 NA's :91852 | |
| ## ProsperPrincipalBorrowed ProsperPrincipalOutstanding | |
| ## Min. : 0 Min. : 0 | |
| ## 1st Qu.: 3500 1st Qu.: 0 | |
| ## Median : 6000 Median : 1627 | |
| ## Mean : 8472 Mean : 2930 | |
| ## 3rd Qu.:11000 3rd Qu.: 4127 | |
| ## Max. :72499 Max. :23451 | |
| ## NA's :91852 NA's :91852 | |
| ## ScorexChangeAtTimeOfListing LoanCurrentDaysDelinquent | |
| ## Min. :-209.00 Min. : 0.0 | |
| ## 1st Qu.: -35.00 1st Qu.: 0.0 | |
| ## Median : -3.00 Median : 0.0 | |
| ## Mean : -3.22 Mean : 152.8 | |
| ## 3rd Qu.: 25.00 3rd Qu.: 0.0 | |
| ## Max. : 286.00 Max. :2704.0 | |
| ## NA's :95009 | |
| ## LoanFirstDefaultedCycleNumber LoanMonthsSinceOrigination LoanNumber | |
| ## Min. : 0.00 Min. : 0.0 Min. : 1 | |
| ## 1st Qu.: 9.00 1st Qu.: 6.0 1st Qu.: 37332 | |
| ## Median :14.00 Median : 21.0 Median : 68599 | |
| ## Mean :16.27 Mean : 31.9 Mean : 69444 | |
| ## 3rd Qu.:22.00 3rd Qu.: 65.0 3rd Qu.:101901 | |
| ## Max. :44.00 Max. :100.0 Max. :136486 | |
| ## NA's :96985 | |
| ## LoanOriginalAmount LoanOriginationDate LoanOriginationQuarter | |
| ## Min. : 1000 2014-01-22 00:00:00: 491 Q4 2013:14450 | |
| ## 1st Qu.: 4000 2013-11-13 00:00:00: 490 Q1 2014:12172 | |
| ## Median : 6500 2014-02-19 00:00:00: 439 Q3 2013: 9180 | |
| ## Mean : 8337 2013-10-16 00:00:00: 434 Q2 2013: 7099 | |
| ## 3rd Qu.:12000 2014-01-28 00:00:00: 339 Q3 2012: 5632 | |
| ## Max. :35000 2013-09-24 00:00:00: 316 Q2 2012: 5061 | |
| ## (Other) :111428 (Other):60343 | |
| ## MemberKey MonthlyLoanPayment LP_CustomerPayments | |
| ## 63CA34120866140639431C9: 9 Min. : 0.0 Min. : -2.35 | |
| ## 16083364744933457E57FB9: 8 1st Qu.: 131.6 1st Qu.: 1005.76 | |
| ## 3A2F3380477699707C81385: 8 Median : 217.7 Median : 2583.83 | |
| ## 4D9C3403302047712AD0CDD: 8 Mean : 272.5 Mean : 4183.08 | |
| ## 739C338135235294782AE75: 8 3rd Qu.: 371.6 3rd Qu.: 5548.40 | |
| ## 7E1733653050264822FAA3D: 8 Max. :2251.5 Max. :40702.39 | |
| ## (Other) :113888 | |
| ## LP_CustomerPrincipalPayments LP_InterestandFees LP_ServiceFees | |
| ## Min. : 0.0 Min. : -2.35 Min. :-664.87 | |
| ## 1st Qu.: 500.9 1st Qu.: 274.87 1st Qu.: -73.18 | |
| ## Median : 1587.5 Median : 700.84 Median : -34.44 | |
| ## Mean : 3105.5 Mean : 1077.54 Mean : -54.73 | |
| ## 3rd Qu.: 4000.0 3rd Qu.: 1458.54 3rd Qu.: -13.92 | |
| ## Max. :35000.0 Max. :15617.03 Max. : 32.06 | |
| ## | |
| ## LP_CollectionFees LP_GrossPrincipalLoss LP_NetPrincipalLoss | |
| ## Min. :-9274.75 Min. : -94.2 Min. : -954.5 | |
| ## 1st Qu.: 0.00 1st Qu.: 0.0 1st Qu.: 0.0 | |
| ## Median : 0.00 Median : 0.0 Median : 0.0 | |
| ## Mean : -14.24 Mean : 700.4 Mean : 681.4 | |
| ## 3rd Qu.: 0.00 3rd Qu.: 0.0 3rd Qu.: 0.0 | |
| ## Max. : 0.00 Max. :25000.0 Max. :25000.0 | |
| ## | |
| ## LP_NonPrincipalRecoverypayments PercentFunded Recommendations | |
| ## Min. : 0.00 Min. :0.7000 Min. : 0.00000 | |
| ## 1st Qu.: 0.00 1st Qu.:1.0000 1st Qu.: 0.00000 | |
| ## Median : 0.00 Median :1.0000 Median : 0.00000 | |
| ## Mean : 25.14 Mean :0.9986 Mean : 0.04803 | |
| ## 3rd Qu.: 0.00 3rd Qu.:1.0000 3rd Qu.: 0.00000 | |
| ## Max. :21117.90 Max. :1.0125 Max. :39.00000 | |
| ## | |
| ## InvestmentFromFriendsCount InvestmentFromFriendsAmount Investors | |
| ## Min. : 0.00000 Min. : 0.00 Min. : 1.00 | |
| ## 1st Qu.: 0.00000 1st Qu.: 0.00 1st Qu.: 2.00 | |
| ## Median : 0.00000 Median : 0.00 Median : 44.00 | |
| ## Mean : 0.02346 Mean : 16.55 Mean : 80.48 | |
| ## 3rd Qu.: 0.00000 3rd Qu.: 0.00 3rd Qu.: 115.00 | |
| ## Max. :33.00000 Max. :25000.00 Max. :1189.00 | |
| ## | |
| </code></pre> | |
| <pre><code>## 'data.frame': 113937 obs. of 81 variables: | |
| ## $ ListingKey : Factor w/ 113066 levels "00003546482094282EF90E5",..: 7180 7193 6647 6669 6686 6689 6699 6706 6687 6687 ... | |
| ## $ ListingNumber : int 193129 1209647 81716 658116 909464 1074836 750899 768193 1023355 1023355 ... | |
| ## $ ListingCreationDate : Factor w/ 113064 levels "2005-11-09 20:44:28.847000000",..: 14184 111894 6429 64760 85967 100310 72556 74019 97834 97834 ... | |
| ## $ CreditGrade : Factor w/ 9 levels "","A","AA","B",..: 5 1 8 1 1 1 1 1 1 1 ... | |
| ## $ Term : int 36 36 36 36 36 60 36 36 36 36 ... | |
| ## $ LoanStatus : Factor w/ 12 levels "Cancelled","Chargedoff",..: 3 4 3 4 4 4 4 4 4 4 ... | |
| ## $ ClosedDate : Factor w/ 2803 levels "","2005-11-25 00:00:00",..: 1138 1 1263 1 1 1 1 1 1 1 ... | |
| ## $ BorrowerAPR : num 0.165 0.12 0.283 0.125 0.246 ... | |
| ## $ BorrowerRate : num 0.158 0.092 0.275 0.0974 0.2085 ... | |
| ## $ LenderYield : num 0.138 0.082 0.24 0.0874 0.1985 ... | |
| ## $ EstimatedEffectiveYield : num NA 0.0796 NA 0.0849 0.1832 ... | |
| ## $ EstimatedLoss : num NA 0.0249 NA 0.0249 0.0925 ... | |
| ## $ EstimatedReturn : num NA 0.0547 NA 0.06 0.0907 ... | |
| ## $ ProsperRating..numeric. : int NA 6 NA 6 3 5 2 4 7 7 ... | |
| ## $ ProsperRating..Alpha. : Factor w/ 8 levels "","A","AA","B",..: 1 2 1 2 6 4 7 5 3 3 ... | |
| ## $ ProsperScore : num NA 7 NA 9 4 10 2 4 9 11 ... | |
| ## $ ListingCategory..numeric. : int 0 2 0 16 2 1 1 2 7 7 ... | |
| ## $ BorrowerState : Factor w/ 52 levels "","AK","AL","AR",..: 7 7 12 12 25 34 18 6 16 16 ... | |
| ## $ Occupation : Factor w/ 68 levels "","Accountant/CPA",..: 37 43 37 52 21 43 50 29 24 24 ... | |
| ## $ EmploymentStatus : Factor w/ 9 levels "","Employed",..: 9 2 4 2 2 2 2 2 2 2 ... | |
| ## $ EmploymentStatusDuration : int 2 44 NA 113 44 82 172 103 269 269 ... | |
| ## $ IsBorrowerHomeowner : Factor w/ 2 levels "False","True": 2 1 1 2 2 2 1 1 2 2 ... | |
| ## $ CurrentlyInGroup : Factor w/ 2 levels "False","True": 2 1 2 1 1 1 1 1 1 1 ... | |
| ## $ GroupKey : Factor w/ 707 levels "","00343376901312423168731",..: 1 1 335 1 1 1 1 1 1 1 ... | |
| ## $ DateCreditPulled : Factor w/ 112992 levels "2005-11-09 00:30:04.487000000",..: 14347 111883 6446 64724 85857 100382 72500 73937 97888 97888 ... | |
| ## $ CreditScoreRangeLower : int 640 680 480 800 680 740 680 700 820 820 ... | |
| ## $ CreditScoreRangeUpper : int 659 699 499 819 699 759 699 719 839 839 ... | |
| ## $ FirstRecordedCreditLine : Factor w/ 11586 levels "","1947-08-24 00:00:00",..: 8639 6617 8927 2247 9498 497 8265 7685 5543 5543 ... | |
| ## $ CurrentCreditLines : int 5 14 NA 5 19 21 10 6 17 17 ... | |
| ## $ OpenCreditLines : int 4 14 NA 5 19 17 7 6 16 16 ... | |
| ## $ TotalCreditLinespast7years : int 12 29 3 29 49 49 20 10 32 32 ... | |
| ## $ OpenRevolvingAccounts : int 1 13 0 7 6 13 6 5 12 12 ... | |
| ## $ OpenRevolvingMonthlyPayment : num 24 389 0 115 220 1410 214 101 219 219 ... | |
| ## $ InquiriesLast6Months : int 3 3 0 0 1 0 0 3 1 1 ... | |
| ## $ TotalInquiries : num 3 5 1 1 9 2 0 16 6 6 ... | |
| ## $ CurrentDelinquencies : int 2 0 1 4 0 0 0 0 0 0 ... | |
| ## $ AmountDelinquent : num 472 0 NA 10056 0 ... | |
| ## $ DelinquenciesLast7Years : int 4 0 0 14 0 0 0 0 0 0 ... | |
| ## $ PublicRecordsLast10Years : int 0 1 0 0 0 0 0 1 0 0 ... | |
| ## $ PublicRecordsLast12Months : int 0 0 NA 0 0 0 0 0 0 0 ... | |
| ## $ RevolvingCreditBalance : num 0 3989 NA 1444 6193 ... | |
| ## $ BankcardUtilization : num 0 0.21 NA 0.04 0.81 0.39 0.72 0.13 0.11 0.11 ... | |
| ## $ AvailableBankcardCredit : num 1500 10266 NA 30754 695 ... | |
| ## $ TotalTrades : num 11 29 NA 26 39 47 16 10 29 29 ... | |
| ## $ TradesNeverDelinquent..percentage. : num 0.81 1 NA 0.76 0.95 1 0.68 0.8 1 1 ... | |
| ## $ TradesOpenedLast6Months : num 0 2 NA 0 2 0 0 0 1 1 ... | |
| ## $ DebtToIncomeRatio : num 0.17 0.18 0.06 0.15 0.26 0.36 0.27 0.24 0.25 0.25 ... | |
| ## $ IncomeRange : Factor w/ 8 levels "$0","$1-24,999",..: 4 5 7 4 3 3 4 4 4 4 ... | |
| ## $ IncomeVerifiable : Factor w/ 2 levels "False","True": 2 2 2 2 2 2 2 2 2 2 ... | |
| ## $ StatedMonthlyIncome : num 3083 6125 2083 2875 9583 ... | |
| ## $ LoanKey : Factor w/ 113066 levels "00003683605746079487FF7",..: 100337 69837 46303 70776 71387 86505 91250 5425 908 908 ... | |
| ## $ TotalProsperLoans : int NA NA NA NA 1 NA NA NA NA NA ... | |
| ## $ TotalProsperPaymentsBilled : int NA NA NA NA 11 NA NA NA NA NA ... | |
| ## $ OnTimeProsperPayments : int NA NA NA NA 11 NA NA NA NA NA ... | |
| ## $ ProsperPaymentsLessThanOneMonthLate: int NA NA NA NA 0 NA NA NA NA NA ... | |
| ## $ ProsperPaymentsOneMonthPlusLate : int NA NA NA NA 0 NA NA NA NA NA ... | |
| ## $ ProsperPrincipalBorrowed : num NA NA NA NA 11000 NA NA NA NA NA ... | |
| ## $ ProsperPrincipalOutstanding : num NA NA NA NA 9948 ... | |
| ## $ ScorexChangeAtTimeOfListing : int NA NA NA NA NA NA NA NA NA NA ... | |
| ## $ LoanCurrentDaysDelinquent : int 0 0 0 0 0 0 0 0 0 0 ... | |
| ## $ LoanFirstDefaultedCycleNumber : int NA NA NA NA NA NA NA NA NA NA ... | |
| ## $ LoanMonthsSinceOrigination : int 78 0 86 16 6 3 11 10 3 3 ... | |
| ## $ LoanNumber : int 19141 134815 6466 77296 102670 123257 88353 90051 121268 121268 ... | |
| ## $ LoanOriginalAmount : int 9425 10000 3001 10000 15000 15000 3000 10000 10000 10000 ... | |
| ## $ LoanOriginationDate : Factor w/ 1873 levels "2005-11-15 00:00:00",..: 426 1866 260 1535 1757 1821 1649 1666 1813 1813 ... | |
| ## $ LoanOriginationQuarter : Factor w/ 33 levels "Q1 2006","Q1 2007",..: 18 8 2 32 24 33 16 16 33 33 ... | |
| ## $ MemberKey : Factor w/ 90831 levels "00003397697413387CAF966",..: 11071 10302 33781 54939 19465 48037 60448 40951 26129 26129 ... | |
| ## $ MonthlyLoanPayment : num 330 319 123 321 564 ... | |
| ## $ LP_CustomerPayments : num 11396 0 4187 5143 2820 ... | |
| ## $ LP_CustomerPrincipalPayments : num 9425 0 3001 4091 1563 ... | |
| ## $ LP_InterestandFees : num 1971 0 1186 1052 1257 ... | |
| ## $ LP_ServiceFees : num -133.2 0 -24.2 -108 -60.3 ... | |
| ## $ LP_CollectionFees : num 0 0 0 0 0 0 0 0 0 0 ... | |
| ## $ LP_GrossPrincipalLoss : num 0 0 0 0 0 0 0 0 0 0 ... | |
| ## $ LP_NetPrincipalLoss : num 0 0 0 0 0 0 0 0 0 0 ... | |
| ## $ LP_NonPrincipalRecoverypayments : num 0 0 0 0 0 0 0 0 0 0 ... | |
| ## $ PercentFunded : num 1 1 1 1 1 1 1 1 1 1 ... | |
| ## $ Recommendations : int 0 0 0 0 0 0 0 0 0 0 ... | |
| ## $ InvestmentFromFriendsCount : int 0 0 0 0 0 0 0 0 0 0 ... | |
| ## $ InvestmentFromFriendsAmount : num 0 0 0 0 0 0 0 0 0 0 ... | |
| ## $ Investors : int 258 1 41 158 20 1 1 1 1 1 ... | |
| </code></pre> | |
| <h1>Introduction</h1> | |
| <p>This data exploration is on a large dataset consisted of 113,937 loans from <a href="https://www.prosper.com/">Prosper Marketplace</a>. The major goal of this exercise is to analyze what factors and how they affect the <a href="https://www.prosper.com/help/topics/general-prosper_score/">Prosper Score</a>. Prosper Score ranges from 1 to 11 and is an indicator of the risk of Prosper borrower listings (the highest risk or worst is 1). I will start by looking at the distribution of each variable that I am interested in. I will further explore the relationships between different variables and how they correlate with Prosper Score. Finally a model based on the findings will be created in order to predict the Prosper Score.</p> | |
| <h1>Univariate Plots Section</h1> | |
| <h2>Prosper Score</h2> | |
| <p>We start by looking at Prosper Score, which is the target variable we are mostly interested in. I'm going to see how its distribution is like. </p> | |
| <p><img src="data:image/png;base64,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" alt="plot of chunk ProsperScore_hist"/> </p> | |
| <p>It appears most of the loans are missing Prosper Score values. Let's remove them and redraw the histogram.</p> | |
| <p><img src="data:image/png;base64,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" alt="plot of chunk ProsperScore_hist2"/> </p> | |
| <p>The Prosper Score seems to be mostly from 4 to 8. The score with the largest population is 4. </p> | |
| <p><img 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" alt="plot of chunk CreditGrade_hist"/> </p> | |
| <p>There are quite a lot of missing values (empty values) in the credit grade. Again removing them and redraw the plot.</p> | |
| <p><img src="data:image/png;base64,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" alt="plot of chunk CreditGrade_hist2"/> </p> | |
| <p>After removing the missing category, it is shown that the number of loans increases with decrease of CreditGrade until “C”. Then it drops with decrease of CreditGrade. There are very few loans with CreditGrade of “NC”. Why don't people tend to borrow loans with the highest CreditGrade “A”, but rather a medium level “C”? Does this has anything to do with the interest, yield or return on investment of loans? I wonder how the loan interest rates and return distribution is like. </p> | |
| <h2>Interest Rates, Loss and Return</h2> | |
| <h3>Borrower APR</h3> | |
| <p>Let's start by looking at Borrower APR and plot its histogram.</p> | |
| <p><img src="data:image/png;base64,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" alt="plot of chunk BorrowerAPR_hist"/> </p> | |
| <pre><code>## Min. 1st Qu. Median Mean 3rd Qu. Max. NA's | |
| ## 0.00653 0.15630 0.20980 0.21880 0.28380 0.51230 25 | |
| </code></pre> | |
| <p>Borrower APR presents a distribution similar to a bell shape, centered at 0.18. But it appears to be consisted of other distribution as there seems to be 3 other spikes at 0.09, 0.29, 0.37. Let's take a closer look by narrowing the bin width.</p> | |
| <p><img src="data:image/png;base64,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" alt="plot of chunk BorrowerAPR_hist2"/> </p> | |
| <p>A finer tuned histogram shows a similar trend as above but with a prominent peak at 0.37. I wonder why there are so many loans with Borrower APR at 37%? Also, the distribution seems to be multi-modal, particularly peaked at the low-level 0.09. </p> | |
| <h3>Lender Yield</h3> | |
| <p>Lender Yield should also be similar to Borrower APR because Lender Yield is defined as Borrower APR minus services fee (relatively small). Let's draw a histogram of it.</p> | |
| <p><img 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" alt="plot of chunk LenderYield_hist2"/> </p> | |
| <pre><code>## Min. 1st Qu. Median Mean 3rd Qu. Max. | |
| ## -0.0100 0.1242 0.1730 0.1827 0.2400 0.4925 | |
| </code></pre> | |
| <p>It confirms that the distributions of both Lender Yield and Borrower APR are very similar except the median value (0.173) shifts to the left.</p> | |
| <h3>Estimated Effective Yield</h3> | |
| <p>Let's also plot Estimated Effective Yield as I think it is an important factor that calculates return data.</p> | |
| <p><img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAfgAAAH4CAYAAACmKP9/AAAD8GlDQ1BJQ0MgUHJvZmlsZQAAOI2NVd1v21QUP4lvXKQWP6Cxjg4Vi69VU1u5GxqtxgZJk6XpQhq5zdgqpMl1bhpT1za2021Vn/YCbwz4A4CyBx6QeEIaDMT2su0BtElTQRXVJKQ9dNpAaJP2gqpwrq9Tu13GuJGvfznndz7v0TVAx1ea45hJGWDe8l01n5GPn5iWO1YhCc9BJ/RAp6Z7TrpcLgIuxoVH1sNfIcHeNwfa6/9zdVappwMknkJsVz19HvFpgJSpO64PIN5G+fAp30Hc8TziHS4miFhheJbjLMMzHB8POFPqKGKWi6TXtSriJcT9MzH5bAzzHIK1I08t6hq6zHpRdu2aYdJYuk9Q/881bzZa8Xrx6fLmJo/iu4/VXnfH1BB/rmu5ScQvI77m+BkmfxXxvcZcJY14L0DymZp7pML5yTcW61PvIN6JuGr4halQvmjNlCa4bXJ5zj6qhpxrujeKPYMXEd+q00KR5yNAlWZzrF+Ie+uNsdC/MO4tTOZafhbroyXuR3Df08bLiHsQf+ja6gTPWVimZl7l/oUrjl8OcxDWLbNU5D6JRL2gxkDu16fGuC054OMhclsyXTOOFEL+kmMGs4i5kfNuQ62EnBuam8tzP+Q+tSqhz9SuqpZlvR1EfBiOJTSgYMMM7jpYsAEyqJCHDL4dcFFTAwNMlFDUUpQYiadhDmXteeWAw3HEmA2s15k1RmnP4RHuhBybdBOF7MfnICmSQ2SYjIBM3iRvkcMki9IRcnDTthyLz2Ld2fTzPjTQK+Mdg8y5nkZfFO+se9LQr3/09xZr+5GcaSufeAfAww60mAPx+q8u/bAr8rFCLrx7s+vqEkw8qb+p26n11Aruq6m1iJH6PbWGv1VIY25mkNE8PkaQhxfLIF7DZXx80HD/A3l2jLclYs061xNpWCfoB6WHJTjbH0mV35Q/lRXlC+W8cndbl9t2SfhU+Fb4UfhO+F74GWThknBZ+Em4InwjXIyd1ePnY/Psg3pb1TJNu15TMKWMtFt6ScpKL0ivSMXIn9QtDUlj0h7U7N48t3i8eC0GnMC91dX2sTivgloDTgUVeEGHLTizbf5Da9JLhkhh29QOs1luMcScmBXTIIt7xRFxSBxnuJWfuAd1I7jntkyd/pgKaIwVr3MgmDo2q8x6IdB5QH162mcX7ajtnHGN2bov71OU1+U0fqqoXLD0wX5ZM005UHmySz3qLtDqILDvIL+iH6jB9y2x83ok898GOPQX3lk3Itl0A+BrD6D7tUjWh3fis58BXDigN9yF8M5PJH4B8Gr79/F/XRm8m241mw/wvur4BGDj42bzn+Vmc+NL9L8GcMn8F1kAcXgSteGGAAA1J0lEQVR4Ae3dC5BddX0H8P9mH3mwCRFoB2KiyJAoDxuMQavWAgJGpYG26hCmnRZbng21tNJia6edVqvt2MdUsSaWWoY6tUMtpVA7JqkEMbalWsQGkZYxDx6BSICYENhsXvV37Fl3N/s8e++ec8/9nJnde+95/M////mf3e89j3tux5HvDclAgAABAgQI1EpgRq1aozEECBAgQIBAJiDgbQgECBAgQKCGAgK+hp2qSQQIECBAQMDbBggQIECAQA0FBHwNO1WTCBAgQICAgLcNECBAgACBGgoI+Bp2qiYRIECAAAEBbxsgQIAAAQI1FBDwNexUTSJAgAABAgLeNkCAAAECBGooIOBr2KmaRIAAAQIEBLxtgAABAgQI1FBAwNewUzWJAAECBAh01Ylg37596cUXX2xYkzo7O1NHR0c6ePBgw8pUUPsIzJgxI8U2dODAgfZptJY2TCD+93R1ddl+GibamgXNmjUr9fb2Fqp8rQK+r68vPf/884UgRlpo7ty5aebMmWn37t0jTW77cfEPqLu7O/X397e9xUgAc+bMSbNnz07PPffcSJON+55A/POKv1vD0QLxvyf+B9l+jrbJx7TL9lM04B2iz7cUjwQIECBAoEYCAr5GnakpBAgQIEAgFxDwuYRHAgQIECBQIwEBX6PO1BQCBAgQIJALCPhcwiMBAgQIEKiRgICvUWdqCgECBAgQyAUEfC7hkQABAgQI1EhAwNeoMzWFAAECBAjkAgI+l/BIgAABAgRqJCDga9SZmkKAAAECBHIBAZ9LeCRAgAABAjUSEPA16kxNIUCAAAECuYCAzyU8EiBAgACBGgkI+Bp1pqYQIECAAIFcQMDnEh4JECBAgECNBAR8jTpTUwgQIECAQC4g4HMJjwQIECBAoEYCAr5GnakpBAgQIEAgFxDwuYRHAgQIECBQI4GuGrVFUwgQIHCUwIoVK44aN9aIdevWjTXZNAItI2APvmW6SkUJECBAgMDEBQT8xK3MSYAAAQIEWkZAwLdMV6koAQIECBCYuICAn7iVOQkQIECAQMsICPiW6SoVJUCAAAECExcQ8BO3MicBAgQIEGgZAQHfMl2logQIECBAYOICAn7iVuYkQIAAAQItIyDgW6arVJQAAQIECExcQMBP3MqcBAgQIECgZQQEfMt0lYoSIECAAIGJC9TuXvSzZs2aeOvHmbO7uzt1dnamRpY5zipbbnL4zJjhfeJIHdfT05PZ2H5G0vn+uK6ursr9fVWlv+L/T0dHR+V8Ru/N6Z9Sxe1n+hVGX2PtAr6vr2/01k5ySvyBRXg1ssxJVqHSs8c/nzDq7++vdD3LqlxsOzNnzrT9jNEBEaZV+/uqSn2OHDmS4qcq9RmjG0ubVMXtp9EYvb29hYu061WYzoIECBAgQKC6AgK+un2jZgQIECBAoLCAgC9MZ0ECBAgQIFBdAQFf3b5RMwIECBAgUFhAwBemsyABAgQIEKiugICvbt+oGQECBAgQKCwg4AvTWZAAAQIECFRXQMBXt2/UjAABAgQIFBYQ8IXpLEiAAAECBKorIOCr2zdqRoAAAQIECgsI+MJ0FiRAgAABAtUVEPDV7Rs1I0CAAAEChQUEfGE6CxIgQIAAgeoKCPjq9o2aESBAgACBwgICvjCdBQkQIECAQHUFBHx1+0bNCBAgQIBAYQEBX5jOggQIECBAoLoCAr66faNmBAgQIECgsICAL0xnQQIECBAgUF0BAV/dvlEzAgQIECBQWEDAF6azIAECBAgQqK6AgK9u36gZAQIECBAoLCDgC9NZkAABAgQIVFdAwFe3b9SMAAECBAgUFhDwheksSIAAAQIEqisg4KvbN2pGgAABAgQKCwj4wnQWJECAAAEC1RUQ8NXtGzUjQIAAAQKFBQR8YToLEiBAgACB6goI+Or2jZoRIECAAIHCAgK+MJ0FCRAgQIBAdQUEfHX7Rs0IECBAgEBhAQFfmM6CBAgQIECgugICvrp9o2YECBAgQKCwgIAvTGdBAgQIECBQXQEBX92+UTMCBAgQIFBYQMAXprMgAQIECBCoroCAr27fqBkBAgQIECgsIOAL01mQAAECBAhUV0DAV7dv1IwAAQIECBQWEPCF6SxIgAABAgSqKyDgq9s3akaAAAECBAoLCPjCdBYkQIAAAQLVFRDw1e0bNSNAgAABAoUFBHxhOgsSIECAAIHqCgj46vaNmhEgQIAAgcICAr4wnQUJECBAgEB1BbqqWzU1I0CAwNECK1asOHqkMQQIHCVgD/4oEiMIECBAgEDrCwj41u9DLSBAgAABAkcJOER/FIkRBAi0s8BkTwGsW7eunbm0vcIC9uAr3DmqRoAAAQIEigo0dQ/+M5/5THrqqacG6nbaaaeliy66KK1fvz5t3rw5Gz9v3rx05ZVXpl27dqU77rgj7du3L51zzjnprLPOyqZv3LgxmzfmW7VqVZo1a9ZAeZ4QIECAAAECIws0NeAvu+yydPjw4WzNn/zkJ1MEfAzf/OY30zXXXJN6enpSR0dHNu62225LK1euTMcdd1y66aab0pIlS9LOnTvTli1b0urVq9OmTZvShg0bsnmyBfwiQIAAAQIERhVoasB3dnam+Ln33nvTySefnE455ZQs8GMv/cEHH0xHjhxJy5Ytyyq3Z8+etGjRoux5zLd9+/b0xBNPpKVLl2ZlLF++PK1Zs2ZIQ3bv3p0OHjw4MG7//v2pq6txTYq6xxuQRpY5UNkaPAmbMOIzcmfafkZ2GTy2DttPs7Z/28/gLWXk53XYfkZuWWPGNi4NR6lP7MHfc8896YYbbsjm2Lt3b+rt7c1+nnzyySy0r7jiiiEhMWfOnOxQfQT4ggULsuVmz56djRu8mltuuSVFGflw4YUXpvPOOy9/OeXH/OiC0wKjU4ZRvFEzHC0QNvFz0kknHT3RmEygDttPM/t3xowZtp8x/lbqsP2M0bxsUuwQFx2aHvBxOP7UU09NEdoxHHvssen666/Pnp9xxhnp/vvvT319fam/vz8bF7/iebwJiFCPvfIYDhw4kObOnZs9z3/l5eSvn3nmmfTYY4/lL6f8GOubOXNmdn3AlAurYQHxx9Xd3T2k72rYzMJNim0+tqE41WQYWSDePMfffysPjfyfM9gh/vccf/zxaceOHYNHez5IoA7bz6DmjPg0srDo0PSr6CPg4zB7PsTFdLfeemv2Mg6vR5jPnz8/Ox8f71Rib/DRRx9NJ554Ylq4cGHatm1bNu/WrVsH9ubzsjwSIECAAAECIws0fQ8+9l7e+ta3Dqz9hBNOSMccc0y6+eab09NPP50uuOCCFIehLrnkkhSH3CP0Tz/99Cz048r5hx9+OK1duzbFOfqrr756oBxPCBAgQIAAgdEFmh7wv/Irv3LU2t/5zndmh9wj2OMiiRgWL16c/cSh+DjsG0NMv/TSS7O9/Lji3kCAAAECBAhMTKDpAT9aNfIQHz59pPHCfbiS1wQIECBAYGyBpp+DH3v1phIgQIAAAQLNEBDwzVBVJgECBAgQKFlAwJfcAVZPgAABAgSaISDgm6GqTAIECBAgULKAgC+5A6yeAAECBAg0Q0DAN0NVmQQIECBAoGQBAV9yB1g9AQIECBBohoCAb4aqMgkQIECAQMkCAr7kDrB6AgQIECDQDAEB3wxVZRIgQIAAgZIFBHzJHWD1BAgQIECgGQICvhmqyiRAgAABAiULCPiSO8DqCRAgQIBAMwQEfDNUlUmAAAECBEoWEPAld4DVEyBAgACBZggI+GaoKpMAAQIECJQsIOBL7gCrJ0CAAAECzRAQ8M1QVSYBAgQIEChZoKvk9Vs9AQIEWlpgxYoVk6r/unXrJjW/mQkUFbAHX1TOcgQIECBAoMICAr7CnaNqBAgQIECgqICALypnOQIECBAgUGEBAV/hzlE1AgQIECBQVEDAF5WzHAECBAgQqLCAgK9w56gaAQIECBAoKiDgi8pZjgABAgQIVFhAwFe4c1SNAAECBAgUFRDwReUsR4AAAQIEKiwg4CvcOapGgAABAgSKCgj4onKWI0CAAAECFRYQ8BXuHFUjQIAAAQJFBQR8UTnLESBAgACBCgv4NrkKd46qEWgHgcl+G1s7mGgjgUYI2INvhKIyCBAgQIBAxQQEfMU6RHUIECBAgEAjBAR8IxSVQYAAAQIEKiYg4CvWIapDgAABAgQaISDgG6GoDAIECBAgUDEBAV+xDlEdAgQIECDQCAEB3whFZRAgQIAAgYoJCPiKdYjqECBAgACBRggI+EYoKoMAAQIECFRMQMBXrENUhwABAgQINEJAwDdCURkECBAgQKBiAgK+Yh2iOgQIECBAoBECAr4RisogQIAAAQIVExDwFesQ1SFAgAABAo0QEPCNUFQGAQIECBComICAr1iHqA4BAgQIEGiEgIBvhKIyCBAgQIBAxQQEfMU6RHUIECBAgEAjBLoaUUiVypg1a1bDqtPd3Z06OztTI8tsWOUqUlD4zJjhfeJI3dHT05PZ2H5G0vn+uK6u2v0LGr2x/z9lottD/P/p6Ojw/2cM0dh+Juo5RjG1nVS7v66+vr6GdVb8gUV4NbLMhlWuAgXFP58w6u/vr0BtqleF2HZmzpxp+xmja9rxn/NE/58cOXIkxc9E5x+DubaTYvupu09vb2/h/rPrVZjOggQIECBAoLoCAr66faNmBAgQIECgsICAL0xnQQIECBAgUF0BAV/dvlEzAgQIECBQWKB2F9kVlrAgAQIECJQusGLFiknVYd26dZOav51mtgffTr2trQQIECDQNgICvm26WkMJECBAoJ0EBHw79ba2EiBAgEDbCAj4tulqDSVAgACBdhIQ8O3U29pKgAABAm0jIODbpqs1lAABAgTaSUDAt1NvaysBAgQItI2AgG+brtZQAgQIEGgnAQHfTr2trQQIECDQNgICvm26WkMJECBAoJ0EBHw79ba2EiBAgEDbCAj4tulqDSVAgACBdhLwZTPt1NvaSmAaBCb7ZSHTUCWrINCWAvbg27LbNZoAAQIE6i4g4Ovew9pHgAABAm0pIODbsts1mgABAgTqLiDg697D2keAAAECbSkg4Nuy2zWaAAECBOouIODr3sPaR4AAAQJtKSDg27LbNZoAAQIE6i4g4Ovew9pHgAABAm0pIODbsts1mgABAgTqLiDg697D2keAAAECbSkg4Nuy2zWaAAECBOouIODr3sPaR4AAAQJtKSDg27LbNZoAAQIE6i4g4Ovew9pHgAABAm0pIODbsts1mgABAgTqLiDg697D2keAAAECbSkg4Nuy2zWaAAECBOouIODr3sPaR4AAAQJtKSDg27LbNZoAAQIE6i4g4Ovew9pHgAABAm0pIODbsts1mgABAgTqLiDg697D2keAAAECbSkg4Nuy2zWaAAECBOouIODr3sPaR4AAAQJtKSDg27LbNZoAAQIE6i4g4Ovew9pHgAABAm0pIODbsts1mgABAgTqLtBV9wZqHwECBKoksGLFiklVZ926dZOa38wEcgF78LmERwIECBAgUCMBAV+jztQUAgQIECCQCwj4XMIjAQIECBCokYCAr1FnagoBAgQIEMgFBHwu4ZEAAQIECNRIQMDXqDM1hQABAgQI5AJN/Zjc3r1706c+9al8XSk+HnLmmWemb33rW+mee+5JBw8eTO9+97vTiSeemHbt2pXuuOOOtG/fvnTOOeeks846K1tu48aNafPmzWnevHlp1apVadasWQPleUKAAAECBAiMLNDUgH/88cfTK17xirRy5cps7Z2dnamvry/ddddd6brrrkvPPvts+ru/+7t0/fXXp9tuuy2b77jjjks33XRTWrJkSdq5c2fasmVLWr16ddq0aVPasGHDQFkjN8dYAgQIECBAIASaHvBdXV3Z3voZZ5yRFixYkIX2okWL0pw5c7KfF198MduT37NnT4rxMZxyyilp+/bt6YknnkhLly5N8cZg+fLlac2aNdn0/FccITh06FD+MvX392fzDoyY4pMZM2akjo6OhpY5xSpVavGwCaPoH8PRArafo02MmbyAv6+xzfiM7tPUgI/AjRCIYP/sZz+bLr744vTCCy9kwZ5Xafbs2dnh+XgjkA8R/nGofvfu3dmyMT7mi3GDhzj8v2PHjoFRb3vb29L5558/8LoRT6L+sW4DgSICsf289KUvLbKoZQhkArafsTeEuvs8//zzYwOMMfUHqTrGTEUnXXTRRQOLHjlyJH3ta19Ly5YtS/v37x8Yf+DAgfSSl7wk2/vOR8Ybg97e3ixY83ljvrlz5+azZI/ve9/7hrx+5pln0qOPPjpk3FRexPpmzpyZvQGZSjl1XTbCq7u7e0jf1bWtRdoVb1RjG4pTTQYCRQUa+T9tpDq0+q1zm+0zktl0jossLDo09Sr622+/PTvUHpWLf3KxJ3/SSSdlh94j8OPwfDxGiPb09GR76PE6OiwuvFu4cGHatm1b1ratW7cO7M1nI/wiQIAAAQIERhVo6h782Wefne68884Uh9/j4rorr7wyOzyfn0+Pc+iXXHJJVrl4vOWWW7Lz8aeffnqaP39+duX8ww8/nNauXZviHP3VV189akNMIECAAAECBH4g0NSAj4vm4gr4CPfBH29785vfnN7whjdkF2jFhUgxLF68OPuJQ/Fx2DeGmHbppZdmh4BjD99AgAABAgQITEygqQGfV2FwuOfjBl9Ul4+LxzzcB48T7oM1PCdAgAABAuMLNPUc/PirNwcBAgQIECDQDAEB3wxVZRIgQIAAgZIFCgV8fBxt+PCd73wnjTR++HxeEyBAgAABAs0XmFTAx8Vy8XPuuedmj/nruHnNe9/73uwWtM2vsjUQIECAAAEC4wlMKuDjxjVxV7cHH3wwe4zn8RMfxP/KV76S3vjGN463PtMJECBAgACBaRCYVMD/67/+a4qPsV122WXZYzyPn/hWuMceeyz7gphpqLNVECBAgAABAuMITOpjcnFr0vh429/+7d+OU6zJBAgQIECAQJkCk9qDzysaX9163nnnpdNOOy298pWvHPj5whe+kM/ikQABAgQIEChRYFJ78Hk9L7/88vSLv/iL2cV2g29Yc+qpp+azeCRAgAABAgRKFJh0wMeXwcR94d///vdnXwVbYt2tmgABAgQIEBhFYNKH6OM8fHy94Kc//WlfEzoKqtEECBAgQKBsgUkHfFQ4vgXuiiuuSMcff3x61ateNfDjHHzZ3Wn9BAgQIEDg+wKTPkQfi/3e7/1e+sAHPnCUoXPwR5EYQYAAAQIEShEoFPA33nhjeuqpp46q8Ec/+tF04YUXHjXeCAIECBAoJhCnRCczrFu3bjKzm7fGAoUCPvbg+/v7M5Z4jDvb3XbbbWn58uU1ptI0AgQIECDQOgKFAv71r3/9kBaef/756fHHH09f/OIX07ve9a4h07wgQIAAAQIEpl+g0EV2w6sZH53bvn17+u53vzt8ktcECBAgQIBACQKF9uDjPPvOnTuz6ka4x9fEdnd3p0984hMlNMEqCRAgQIAAgeEChQL+Ix/5SNq/f/9AWfGNcmeeeWbq6ekZGOcJAQIECBAgUJ5AoYCPi+kOHz6cHZaPi+wWL16cZsxoyNH+8iSsmQCBowQmewX3UQUYQYBAaQKFUvmRRx5Jr3nNa7Jgf93rXpfmzp2b1q5dW1ojrJgAAQIECBAYKlAo4K+66qq0cuXK7Dz8s88+m9avX5/d/Oahhx4aWrpXBAgQIECAQCkChQ7RR5DHzRTyc+5vetOb0nve85705S9/OZ1++umlNMRKCRAgQCBl3xXCgUAIFNqDjwvqHnjggSGC9957bzrhhBOGjPOCAAECBAgQKEeg0B78tddem92S9txzz00ve9nLsr35+fPnp4svvricVlgrAQIECBAgMESg0B583K0u7lp39tlnZ4fp47vhN23alH0WfkjpXhAgQIAAAQKlCBTag9+zZ0+6/fbb0wc/+MHU2dmZrr766uxz8HFFvYEAAQIECBAoX6DQHnxcRR+3pY3Pwsfwlre8JV166aUprqg3ECBAgAABAuULFNqDv++++9KWLVtSR0dH1oII97iy/s4770yXX355+a1SAwIECBAg0OYChfbge3t701e/+tUhdF/60pfSvHnzhozzggABAgQIEChHoNAe/Ic+9KF0wQUXpGXLlqVFixale+65J5122mmuoi+nD62VAAECBAgcJVAo4C+55JL0ta99Lbuxzb59+7KL7U4++eSjCjeCAAECBAgQKEegUMBHVZcsWZL9lFNtayVAgAABAgTGEih0Dn6sAk0jQIAAAQIEyhcQ8OX3gRoQIECAAIGGCwj4hpMqkAABAgQIlC8g4MvvAzUgQIAAAQINFxDwDSdVIAECBAgQKF9AwJffB2pAgAABAgQaLiDgG06qQAIECBAgUL6AgC+/D9SAAAECBAg0XEDAN5xUgQQIECBAoHwBAV9+H6gBAQIECBBouICAbzipAgkQIECAQPkCAr78PlADAgQIECDQcAEB33BSBRIgQIAAgfIFBHz5faAGBAgQIECg4QICvuGkCiRAgAABAuULCPjy+0ANCBAgQIBAwwUEfMNJFUiAAAECBMoXEPDl94EaECBAgACBhgt0NbzEkgucNWtWw2rQ3d2dOjs7UyPLbFjlKlJQ+MyY4X3iSN3R09OT2dh+RtIxrlUFqrY9V60+VerX2gV8X19fw3wj4CO8GllmwypXgYI6OjpSGPX391egNtWrQmw7M2fOtP1Ur2vUaAoCVft/WLX6TIF2xEV7e3tHHD+RkXa9JqJkHgIECBAg0GICAr7FOkx1CRAgQIDARAQE/ESUzEOAAAECBFpMQMC3WIepLgECBAgQmIiAgJ+IknkIECBAgECLCQj4Fusw1SVAgAABAhMREPATUTIPAQIECBBoMQEB32IdproECBAgQGAiAgJ+IkrmIUCAAAECLSYg4Fusw1SXAAECBAhMREDAT0TJPAQIECBAoMUEBHyLdZjqEiBAgACBiQjU7stmJtJo8xBoV4EVK1a0a9O1m0DbCQj4tutyDSZAgMD0CXhTOX3Ww9fkEP1wEa8JECBAgEANBAR8DTpREwgQIECAwHABAT9cxGsCBAgQIFADAQFfg07UBAIECBAgMFxAwA8X8ZoAAQIECNRAQMDXoBM1gQABAgQIDBcQ8MNFvCZAgAABAjUQEPA16ERNIECAAAECwwUE/HARrwkQIECAQA0EBHwNOlETCBAgQIDAcAEBP1zEawIECBAgUAMBAV+DTtQEAgQIECAwXEDADxfxmgABAgQI1EBAwNegEzWBAAECBAgMFxDww0W8JkCAAAECNRAQ8DXoRE0gQIAAAQLDBQT8cBGvCRAgQIBADQQEfA06URMIECBAgMBwAQE/XMRrAgQIECBQA4GuGrRBEwgQIEBgmgRWrFgxTWuymqkK2IOfqqDlCRAgQIBABQUEfAU7RZUIECBAgMBUBQT8VAUtT4AAAQIEKigg4CvYKapEgAABAgSmKiDgpypoeQIECBAgUEEBAV/BTlElAgQIECAwVQEBP1VByxMgQIAAgQoKCPgKdooqESBAgACBqQoI+KkKWp4AAQIECFRQQMBXsFNUiQABAgQITFVAwE9V0PIECBAgQKCCAgK+gp2iSgQIECBAYKoCAn6qgpYnQIAAAQIVFBDwFewUVSJAgAABAlMVEPBTFbQ8AQIECBCooICAr2CnqBIBAgQIEJiqgICfqqDlCRAgQIBABQUEfAU7RZUIECBAgMBUBbqmWsBYy+/duzd9/vOfT7t3704LFixI73jHO1JXV1dav3592rx5c7bovHnz0pVXXpl27dqV7rjjjrRv3750zjnnpLPOOiubvnHjxmzemG/VqlVp1qxZY63SNAIECBAgQOB7Ak0N+LvvvjstXrw4vfa1r0133nln+vrXv57OPvvs9M1vfjNdc801qaenJ3V0dGQdcdttt6WVK1em4447Lt10001pyZIlaefOnWnLli1p9erVadOmTWnDhg3ZPHqOAAECBAgQGFugqQF/7rnnpt7e3qwG3d3d2Z784cOHs730Bx98MB05ciQtW7Ysm75nz560aNGi7Pkpp5yStm/fnp544om0dOnS1NnZmZYvX57WrFkzpDUvvPBCOnTo0MC4AwcOpBkzGnfWIX/z0cgyBypbgyfhEzZ8Ru7M3CV/HHkuYwkQmIqAv6/R9Zoa8Mcee2y25kceeSQ98MAD6frrr09x2D5CP36efPLJLLSvuOKK7NB9Xs05c+ZkbwLyQ/sxfvbs2dm4fJ54/PjHP5527NgxMCpOAbz1rW8deN2oJ8ccc0yjilJOGwrkb1zbsOmaTKDpAnX/+4rMLDo0NeCjUg899FD653/+53TttddmIR1BHUEfwxlnnJHuv//+1NfXl/r7+7Nx8SuexxuAmHf//v3Z+Ng7nzt37sA88eTGG28c8vqZZ57J9vyHjJzCi1jfzJkzs+sDplBMbReNPfg4MjO472rb2AINizeqsQ3FqSYDAQLNEYijvXUe8qPgRdrYuOPZI6z94Ycfzs6bX3fddWn+/PnZHHEx3a233po9P3jwYBYOMS3Ox8cFdnHY/tFHH00nnnhiWrhwYdq2bVs279atW7ML9bIXfhEgQIAAAQJjCjR1D/5zn/tcihD/2Mc+llUizrfHIfQ45H3zzTenp59+Ol1wwQXZOdxLLrkk3XLLLdn8p59+evaGIK6cjzcJa9euTXGO/uqrrx6zMSYSIECAAAEC3xfo+N4e85EyMPIL4uICusFDjI/DvoOHOAQce/jjDXGIfirnK4aX7xD9cJGhrx2iH+ox/FUVD9GvWLFieDW9JtDSAuvWrWvp+o9X+ThEf8IJJ4w324jTm7oHP+Ia/3/k8BDP5x1p/ETCPV/eIwECBAgQIJBSU8/BAyZAgAABAgTKERDw5bhbKwECBAgQaKqAgG8qr8IJECBAgEA5AgK+HHdrJUCAAAECTRUQ8E3lVTgBAgQIEChHQMCX426tBAgQIECgqQICvqm8CidAgAABAuUICPhy3K2VAAECBAg0VUDAN5VX4QQIECBAoBwBAV+Ou7USIECAAIGmCgj4pvIqnAABAgQIlCMg4Mtxt1YCBAgQINBUAQHfVF6FEyBAgACBcgQEfDnu1kqAAAECBJoqIOCbyqtwAgQIECBQjoCAL8fdWgkQIECAQFMFBHxTeRVOgAABAgTKERDw5bhbKwECBAgQaKqAgG8qr8IJECBAgEA5AgK+HHdrJUCAAAECTRUQ8E3lVTgBAgQIEChHQMCX426tBAgQIECgqQICvqm8CidAgAABAuUICPhy3K2VAAECBAg0VUDAN5VX4QQIECBAoBwBAV+Ou7USIECAAIGmCgj4pvIqnAABAgQIlCMg4Mtxt1YCBAgQINBUAQHfVF6FEyBAgACBcgQEfDnu1kqAAAECBJoqIOCbyqtwAgQIECBQjoCAL8fdWgkQIECAQFMFBHxTeRVOgAABAgTKERDw5bhbKwECBAgQaKqAgG8qr8IJECBAgEA5AgK+HHdrJUCAAAECTRUQ8E3lVTgBAgQIEChHQMCX426tBAgQIECgqQICvqm8CidAgAABAuUICPhy3K2VAAECBAg0VUDAN5VX4QQIECBAoBwBAV+Ou7USIECAAIGmCgj4pvIqnAABAgQIlCMg4Mtxt1YCBAgQINBUAQHfVF6FEyBAgACBcgQEfDnu1kqAAAECBJoqIOCbyqtwAgQIECBQjoCAL8fdWgkQIECAQFMFBHxTeRVOgAABAgTKERDw5bhbKwECBAgQaKqAgG8qr8IJECBAgEA5Al3lrLZ5a501a1bDCu/u7k6dnZ2pkWU2rHIVKSh8ZszwPnGk7ujp6clsbD8j6RhHoDEC/r5Gd6xdwPf19Y3e2klOiYCP8GpkmZOsQqVn7+joSGHU399f6XqWVbnYdmbOnGn7KasDrLctBOr+/7m3t7dwP9r1KkxnQQIECBAgUF0BAV/dvlEzAgQIECBQWEDAF6azIAECBAgQqK6AgK9u36gZAQIECBAoLCDgC9NZkAABAgQIVFdAwFe3b9SMAAECBAgUFhDwheksSIAAAQIEqisg4KvbN2pGgAABAgQKCwj4wnQWJECAAAEC1RUQ8NXtGzUjQIAAAQKFBQR8YToLEiBAgACB6goI+Or2jZoRIECAAIHCAgK+MJ0FCRAgQIBAdQUEfHX7Rs0IECBAgEBhAQFfmM6CBAgQIECgugICvrp9o2YECBAgQKCwgIAvTGdBAgQIECBQXQEBX92+UTMCBAgQIFBYQMAXprMgAQIECBCoroCAr27fqBkBAgQIECgsIOAL01mQAAECBAhUV0DAV7dv1IwAAQIECBQWEPCF6SxIgAABAgSqKyDgq9s3akaAAAECBAoLCPjCdBYkQIAAAQLVFeiqbtXUjACB8QRWrFgx3iymEyDQpgL24Nu04zWbAAECBOotIODr3b9aR4AAAQJtKiDg27TjNZsAAQIE6i0g4Ovdv1pHgAABAm0qIODbtOM1mwABAgTqLSDg692/WkeAAAECbSog4Nu04zWbAAECBOotIODr3b9aR4AAAQJtKiDg27TjNZsAAQIE6i0g4Ovdv1pHgAABAm0qIODbtOM1mwABAgTqLSDg692/WkeAAAECbSog4Nu04zWbAAECBOotIODr3b9aR4AAAQJtKuDrYtu04zWbAAECdRAo8pXJ69atq0PTx22DPfhxicxAgAABAgRaT0DAt16fqTEBAgQIEBhXQMCPS2QGAgQIECDQegICvvX6TI0JECBAgMC4AgJ+XCIzECBAgACB1hMQ8K3XZ2pMgAABAgTGFRDw4xKZgQABAgQItJ6AgG+9PlNjAgQIECAwroCAH5fIDAQIECBAoPUEBHzr9ZkaEyBAgACBcQUE/LhEZiBAgAABAq0nUPl70W/cuDFt3rw5zZs3L61atSrNmjWr9ZTVmMAEBYrcV3uCRZuNAIE2E6h0wG/dujVt2bIlrV69Om3atClt2LAhrVy5ss26SHObKTDZQG2XL6loprmyCRCYHoFKB/y3v/3ttHTp0tTZ2ZmWL1+e1qxZM0Rl//796fDhwwPjDh48mDo6OgZeT/VJXlb+OF558SZkMsMZZ5wxmdmzeZ977rlJLfPiiy9Oav4FCxZMeP5wufvuu9OhQ4cmvEy8YZvMMFnT2CaaOUz2DUEz66JsAgSKCUz273j9+vXFVlTyUpUO+N27d6c8cGbPnp327ds3hOtP//RP044dOwbG/cRP/ESabMcNLDzGk97e3jGm/mDSy1/+8h+8aJNn8QbMQIAAAQLNEdi7d2/hgisd8BHq+R7ZgQMH0ty5c4c09P3vf386cuTIwLjYu922bdvA66k+ifXNnDkz7dq1a6pF1XL52IPv7u5O/f39tWzfVBs1Z86cbJvduXPnVIuq7fJxTU1fX19t2zeVhsX/nuOPP37ITsxUyqvjsu2w/cQO5vDsm2hfVvoq+oULFw4EdpyPz/fm88ZFwMyYMWPgJx/vkQABAgQItLtApQP+1a9+dbZ3uHbt2nTXXXelt7/97e3eX9pPgAABAgQmJFDpQ/Sxd37ppZdmId/T0zOhBpmJAAECBAgQSKnSe/B5Bwn3XMIjAQIECBCYmEBLBPzEmmIuAgQIECBAIBcQ8LmERwIECBAgUCMBAV+jztQUAgQIECCQCwj4XMIjAQIECBCokYCAr1FnagoBAgQIEMgFBHwu4ZEAAQIECNRIQMDXqDM1hQABAgQI5AICPpfwSIAAAQIEaiQg4GvUmZpCgAABAgRyAQGfS3gkQIAAAQI1EhDwNepMTSFAgAABArmAgM8lPBIgQIAAgRoJCPgadaamECBAgACBXEDA5xIeCRAgQIBAjQQEfI06U1MIECBAgEAu0HHke0P+wuNQgU2bNqXHH388rVq1augErwhMQOAb3/hGuu+++9JVV101gbnNQmCowLZt29LnPve5dMMNNwyd4BWBCQrYgx8D6uDBg+nAgQNjzGESgdEFDh8+nPr7+0efwRQCYwgcOnQo7d+/f4w5TCIwtoCAH9vHVAIECBAg0JICAr4lu02lCRAgQIDA2ALOwY/hs2vXrtTX15cWLlw4xlwmERhZ4Lvf/W569tln0yte8YqRZzCWwBgCL7zwQnriiSfS4sWLx5jLJAKjCwj40W1MIUCAAAECLSvgEH3Ldp2KEyBAgACB0QUE/Og2phAgQIAAgZYV6GrZmjep4hs3bkybN29O8+bNyz7/PmvWrCFr+pd/+Zf06KOPpmOPPTatWLEiHXfccUOme9GeAnG9xh133JH27duXzjnnnHTWWWcNgRhv+pCZvWg7gfG2j/ifc/fdd2cfm/uRH/mR9IY3vKHtjDR48gL24AeZbd26NW3ZsiWtXr06uzBqw4YNg6am9NBDD6U9e/aka665JvsH/oUvfGHIdC/aV+C2227L3vBdccUVad26dSkukBo8jDd98Lyet5/AeNvHP/zDP6RLLrkkXXnllemrX/1qdvFm+ylp8WQFBPwgsW9/+9tp6dKlqbOzMy1fvjz97//+76CpKQv9+COLobu7O8VV0gYCIRBv/BYtWpSOOeaYdMopp6Tt27cPgRlv+pCZvWg7gfG2j8svvzy95CUvSTNmzEgdHR3Z9tZ2SBo8aQEBP4hs9+7dac6cOdmY2bNnZ4dbB01OMS5+Yr64heQ73vGOwZM9b1OB2Fvv6vrB2a7YhuJQfT6MNz2fz2N7Ckxk+4hwj+GLX/xi9j/o5JNPzl77RWAsgR/8VxprrhpP+6M/+qPsvNarX/3q7A8nvzVk3KJ27ty5R7U8zpXdfPPN6V3veld6+ctfftR0I9pPYObMmUNuSRu3p+3t7R2AGG/6wIyetKXARLePuP7nqaeeSrE3byAwEYG234O/8cYb0+/8zu+kn/qpn8puaBNf8BBDnI9fsGBB9jz/FYfk/+qv/ir97M/+bDr11FPz0R7bXCBO6fT09GR77fHdTXFB1IknnjigMt70gRk9aUuBiWwfEe7PP/98Fu6Djxa1JZhGT1jAjW4GUcWXg/z93/99dgg+zoldffXV2dX0H/zgB9Ov/uqvps9//vPpgQceyK6gj8VOOOGEFBdVGQg88sgjaf369Sm+oOj0009PF154YfrP//zP9Nhjj6V3vvOdaaTp1AjkAiNtH/n2c8EFF2Q7IfGmMc6/x/CTP/mT6VWvelW+uEcCIwoI+BFY4hBr7JEZCExWIE7txAWYow3jTR9tOePbQ8D20R79PF2tFPDTJW09BAgQIEBgGgXa/hz8NFpbFYFaCezcuTPFHmcM8cmSvXv31qp9GkOg1QUEfKv3oPqXKvD2t789+/RF3Plw8E98OmOsIW6GE3cmiyEu9Pzt3/7tsWaf1LTf/d3fHXJV/0QW/vKXv5yWLVuWzfrpT386+9jf4PbE8x/90R/Npsc35MU3nJ133nkp7vwY16rEdQcf+tCHJrKqo+YZXN+4h8A3vvGNo+YZb8Rzzz2XXRT753/+50NmjXtZRN3vvffeCTl/5StfSXGnuJGGX/7lX04f+chHRppkHIFKCrT9x+Qq2Ssq1VICf/zHf5zd/XAylV67dm32yY1Y5jd/8zcHLp6aTBkjzXvo0KH0+7//+1mZI02f6Lgf+7EfS/fcc8+Is//Xf/1Xdr+IPIgvvfTSdN9996UlS5aMOP9YI4fXd9OmTemHfuiHxlpkxGnxOfFPfvKT2e2lzz///HTmmWdmRxd+5md+Jrv724//+I9nwZ1fpDZiIUYSqJmAPfiadajmVEvgb/7mb9LLXvaydPzxx6d3v/vdKfY0Yw85boMce+6f+cxnso9e/vVf/3VW8Qinv/zLv8zumhhXSf/bv/1b+rVf+7X0wz/8w+myyy4bOAwet02OPej4ToS4H8Of/dmfZcuvWrUqe4w7MsY9G55++un00z/902n+/PnZXRpjTzYfbr/99hT3f4ibpvzjP/5jPnrMxwj1X/iFX8g+FRDrOPfcc7M7Ol500UXZ3vxY64t1v+lNb8r2tH/pl34p9fX1ZYEcK8zr+3M/93PZ7aKvvfbaFLdvzYc777wzXXXVVdnLL33pS9n80aZoW7QzhrjLZHzcNcqIT8R8+MMfzj66+Ad/8AfZ9PiIa+48Vj2zmb/3Kz7yGPYnnXRSevOb35wef/zxfJJHAi0hIOBboptUssoCETgf//jHh/zEYewIsAiyCKe4DXLc3W7NmjUp9iojGOP+CxH63/nOdwZCKuaLuyTGIfMIzfiIVNw0Jz6eGQGTfz9C3Ish7qS4Y8eOLNx//dd/Pbs/ebw5iCHqFG8qIozjTcDDDz+crr/++vSe97wnmx7fuRCBGR8Bveuuu7I7pGUT/v/XE088MaQ90b7YS4894z/5kz/Jvosh1hFti7s7xkdIY69/tPXFDVri44LxsdL4Mqf4+GBYDK9v1CvcXve616V4c5QP8Ubo7LPPzt6wrFy5MkV7v/Wtb2VtG3zYPOoZdf/DP/zDzOXWW29N+RdGDXYerZ75+uLxL/7iL7JD+3EaIr6fIj6LbiDQSgIO0bdSb6lrJQX+53/+56hz3rE3Gfeljz3JONceoR7fNpd//DI+ShfT4y5mw4f3vve92U2X4tB3BFaEWdxVMb6l7j/+4z+yvdZPfepT6TWveU22lxl74BGysVea34Ap9m7jaEGE0oMPPpgdUo+AjaMH//3f/53+/d//PZ1xxhnZ56lj/RH8EYb5EMvGbVEHD3Ho/PWvf332hiNuthLriCEOe8ebiLjIbrT1xRuM+Bx3/gYjDqfHnnd+t8goa/Dh89gTjzckUWasK97YxBuCuE9F1Pviiy/O1v2BD3wgReDHm44Y4k3NJz7xieyNU7yBiu+UGD7Em6/R6jl43jjCEXeNiyMp8fOxj31s8GTPCVReQMBXvotUsOoCsScce3gjDXGY+bd+67fSb/zGb2SH1G+66ab0yle+cqRZB8bld1CM0I7neQjGm4P8W+oizOOwcQRnfDVtnMuONxODh9jjj9B8y1veMnh0dtg/jhS89rWvHRgfwT044GNPPd6QTGYYa31R39grz4eFCxdmb2Ki3iMNEfhxCiKODES73/jGN2ZfzRzriCMAww1jr/2lL31pVlTcRjruDhdvqkYaxqpnnLLIh+FG+UWG+XSPBKou4BB91XtI/VpWIAI3rkyP89bxE1dzj/ZGYHAjx7sVaeyBxt74+973vuwQfexpx/ni+Bk8xF5n7FlHID755JPZT+y9x+HpuC4gzuPnQ9yaearDWOs77rjjUhzpyIc4RD/eef+4niDmia9Kza8tiDcJEfZ5e+IxLvrL3xTl5Y/1OFY9By833ChOHxgItJKAgG+l3lLXSgrEXnWE7uCfuG94HIKOPeHYY4zDyvGRunyIw/Px2fEiQ5QdQ5yfj/PLn/3sZ7Pz1vGZ9NhzjcP+8b0JsecbF+3FIet4sxHnwePjbLHXnx/uj4+RxTnvwRe0RdlR1uD25M9j2mjDWOuLvfH7778/O28ey3/0ox/N3vQMru/wcuPQe3xs7Z7vXc0ft2aNIdoc1wJ8/etfz17Hufm3ve1tRx29yCaO8museg5eJOzCJa6diK//HXyB4uD5PCdQVQGH6KvaM+rVMgJx+D1+Bg9xjvif/umfss+3x8VnEegRzHEBXQxxeP26664rFPKxZ/nzP//z2ZXkcc45QjsOH0dYx9XoEaZxCDwuzIuP4MW5/Dj3HmF6ww03DHzOOz63HnvD8SYh6jh4iKv3o+zhQ/5ti8PH56/HWl9c1R4XysVV6XGtQIRzDIPrm5cTj2EWTnHr6Pw0RZy2iHJifBySj9dxbj7aNplhtHrGG4p8iFMrcRFkfOY/hjiNYSDQSgJuVdtKvaWuLSsQ56CHf7479pzjYrvJhlOOEHuWcY49vn9++BDTIiDzIdYfX440+EK2mBZ76lGPPEDz+af6ONr64st4om5x6mDwMLy+g6eN9DzO3ccRkJHehIw0/2jjRqvn4PnjaEh8kqFoPw0uy3MC0ykg4KdT27oIECBAgMA0CTgHP03QVkOAAAECBKZTQMBPp7Z1ESBAgACBaRIQ8NMEbTUECBAgQGA6BQT8dGpbFwECBAgQmCYBAT9N0FZDgAABAgSmU0DAT6e2dREgQIAAgWkSEPDTBG01BAgQIEBgOgUE/HRqWxcBAgQIEJgmgf8DyzuvK52ekwAAAAAASUVORK5CYII=" alt="plot of chunk estimated_effective_yield_hist"/> </p> | |
| <pre><code>## Min. 1st Qu. Median Mean 3rd Qu. Max. NA's | |
| ## -0.183 0.116 0.162 0.169 0.224 0.320 29084 | |
| </code></pre> | |
| <p>The shape is again quite similar to APR but median value is 0.162.</p> | |
| <h3>Estimated Loss</h3> | |
| <p>How about the loss of the loans? I think it is importantant as it may affect the final return of loans.</p> | |
| <p><img 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/nObNdJ+26G0047LcVx+ditEv9iiJPw4l/sioxjjjHEY2vXrt1l/uxB/xEgQIAAAQKzCixowLfW2h7urXHtJ9W1xsVtK9zbx+1u/vbH/U2AAAECBAh0CizoMfjOVblHgAABAgQI5CUg4POSth4CBAgQIJCjgIDPEduqCBAgQIBAXgICPi9p6yFAgAABAjkKCPgcsa2KAAECBAjkJZDLWfR5dcZ6dhWIH/AxECBAgED9BGzB16/mekyAAAECNRAQ8DUosi4SIECAQP0EBHz9aq7HBAgQIFADAQFfgyLrIgECBAjUT0DA16/mekyAAAECNRAQ8DUosi4SIECAQP0EBHz9aq7HBAgQIFADAQFfgyLrIgECBAjUT0DA16/mekyAAAECNRAQ8DUosi4SIECAQP0EBHz9aq7HBAgQIFADAQFfgyLrIgECBAjUT0DA16/mekyAAAECNRAQ8DUosi4SIECAQP0EBHz9aq7HBAgQIFADAQFfgyLrIgECBAjUT0DA16/mekyAAAECNRAQ8DUosi4SIECAQP0EBHz9aq7HBAgQIFADAQFfgyLrIgECBAjUT0DA16/mekyAAAECNRAQ8DUosi4SIECAQP0EBHz9aq7HBAgQIFADAQFfgyLrIgECBAjUT0DA16/mekyAAAECNRAQ8DUosi4SIECAQP0EBHz9aq7HBAgQIFADAQFfgyLrIgECBAjUT0DA16/mekyAAAECNRAQ8DUosi4SIECAQP0EBHz9aq7HBAgQIFADAQFfgyLrIgECBAjUT0DA16/mekyAAAECNRAQ8DUosi4SIECAQP0ExurXZT2ussDk5GRP3duwYUNP05uYAAECZREQ8GWp1Hfb2WuAlax7mkuAAAECAxKwi35AkBZDgAABAgSKJCDgi1QNbSFAgAABAgMSEPADgrQYAgQIECBQJAEBX6RqaAsBAgQIEBiQgIAfEKTFECBAgACBIgkI+CJVQ1sIECBAgMCABAT8gCAthgABAgQIFElAwBepGtpCgAABAgQGJFC5C90sXbp0QDS9LWbRouc/Kw1r/b21dnBTl72/ZWj/6Ohoaj2/Ble5/Jc0NjaWGo1GKoP5nnRGRkayepS9JuPj41k/yl6PqFU8t6rQj+jLkiVLstdJ/D3foXIBv3Xr1vma9DV/vAnHMKz199XoAcxU9v6Wof3xRrx9+/aBvegHUPa+FrFs2bKsD2Uw31MHI9gjULZt27anyUrx2PT0dCXesyLcy/68aj1hpqamUtSlNUxMTLT+7PnWLvqeycxAgAABAgSKLyDgi18jLSRAgAABAj0LCPieycxAgAABAgSKLyDgi18jLSRAgAABAj0LVO4ku54FzFBoAT+PW+jyaBwBAgUWsAVf4OJoGgECBAgQ6FdAwPcrZz4CBAgQIFBgAQFf4OJoGgECBAgQ6FdAwPcrZz4CBAgQIFBgAQFf4OJoGgECBAgQ6FdAwPcrZz4CBAgQIFBgAQFf4OJoGgECBAgQ6FdAwPcrZz4CBAgQIFBgAQFf4OJoGgECBAgQ6FdAwPcrZz4CBAgQIFBgAQFf4OJoGgECBAgQ6FdAwPcrZz4CBAgQIFBgAQFf4OJoGgECBAgQ6FdAwPcrZz4CBAgQIFBgAQFf4OJoGgECBAgQ6FdAwPcrZz4CBAgQIFBggbECt03TSiAwOTnZUys3bNjQ0/QmJkCAAIH+BGzB9+dmLgIECBAgUGgBAV/o8mgcAQIECBDoT0DA9+dmLgIECBAgUGgBx+CHWJ5ej18PsalWTYAAAQIlE7AFX7KCaS4BAgQIEOhGQMB3o2QaAgQIECBQMgEBX7KCaS4BAgQIEOhGQMB3o2QaAgQIECBQMgEBX7KCaS4BAgQIEOhGQMB3o2QaAgQIECBQMgEBX7KCaS4BAgQIEOhGQMB3o2QaAgQIECBQMgEBX7KCaS4BAgQIEOhGQMB3o2QaAgQIECBQMgEBX7KCaS4BAgQIEOhGQMB3o2QaAgQIECBQMgEBX7KCaS4BAgQIEOhGQMB3o2QaAgQIECBQMgEBX7KCaS4BAgQIEOhGQMB3o2QaAgQIECBQMgEBX7KCaS4BAgQIEOhGQMB3o2QaAgQIECBQMgEBX7KCaS4BAgQIEOhGQMB3o2QaAgQIECBQMgEBX7KCaS4BAgQIEOhGQMB3o2QaAgQIECBQMgEBX7KCaS4BAgQIEOhGQMB3o2QaAgQIECBQMgEBX7KCaS4BAgQIEOhGQMB3o2QaAgQIECBQMgEBX7KCaS4BAgQIEOhGYKybifqdZseOHenzn/98uvPOO9M+++yT3vjGN6bR0dF0xx13pI0bN6Z4/IILLkj77bdfeuSRR9I111yTtmzZkk4//fR0/PHHZ6u94YYb0m233ZZWrFiRLrzwwrR06dJ+m2M+AgQIECBQG4EF3YK/6aab0rPPPpsuueSStHLlyvS1r30tbd26NV177bXpoosuSueff3668sorM+yrrroqTU5OZtNu2LAhPfPMM+muu+5KmzZtSpdffnk69NBD0/XXX1+bwugoAQIECBCYj8CCbsF/+ctfzkI8tuJPOumkbCv+nnvuSWvWrEl77bVX9i8+AMSW/JNPPpmNj84cdthhKaa7//7703HHHZdt9Z944olp3bp1HX39wz/8w/Tggw/OjHvNa16TzjzzzJn7ef8xMjIy04e8112W9UXtizQUrT27s4nnVaPR2N1DpRoX/Yhh+fLlpWr37hpblZosWrSoEu9ZValHPNcOOOCAjqdc7NXud1jQgI/Qvu6669LRRx+dhfNb3vKW9Pjjj2fB3mrwsmXLst3zY2Pfa0qEf3Qqpl29enU2aUy3c0cvvvji7MNBa1lTU1Mdgd8an8dtHHrYd999h7b+PPo4iHW0fyAbxPLmu4yitWd3/Vm8eHH2PC97yMdhuuhDvC+UeYhQjNf79u3by9yNtGTJkmyj61vf+lap+xGNj77E+3/Zhwj3hx9+OE1PT890ZT6Hpb+XqjOLG9wf8cYUu91bW+y33nprOuqoozoKES+SVatWpW3bts2sOP6emJhIEeqtosV0O3/yj93+7cOjjz6annrqqfZRuf3devONvRGG2QWK5lO09uxOLgIl2tl6ju1umjKMizet6EMZzPfkGfWIoez9iI2qKtQjahF9KXs9oh8xRD/aA/75sf39v6DH4CPYW5/Wn3jiiewEuf333z/b9R5PrNg9H7fx6Wt8fDzbQo/7mzdvzk68O/DAA9Pdd9+d9SyOx7e25vvrqrkIECBAgEB9BBZ0C/61r31tihPmbrnllmzL+u1vf3u2e751PD22ts8777xMO26vuOKK7NPLMccck52UF2fOxxn469evzz4oXHrppfWpjJ4SIECAAIF5CCxowMeu9/hqW+xyjy301nDaaaelU045JcWurtburiOOOCLFv9gVH7v2Y4jH1q5du8v8reW4JUCAAAECBHYvsKAB31ple7i3xrWfVNcaF7etcG8ft7v52x/3NwECBAgQINApsKDH4DtX5R4BAgQIECCQl0BfAR9nq+88xFctdjd+5+ncJ0CAAAECBBZeoKeAj6vQxb8zzjgju23dj6vO/cIv/EJ2hbqFb7I1ECBAgAABAnMJ9BTwr3vd67Lvpt9+++3ZbXxPPf7Fd9Y/+9nPple+8pVzrc/jBAgQIECAQA4CPQX8pz/96ews9ze/+c3ZbZzxHv/ii/n33ntvOvLII3NoslUQIECAAAECcwn0dBZ9XO83zn7/2Mc+NtdyPU6AAAECBAgMUaCnLfhWO2+++ebsR13iGvMvfelLZ/7927/9W2sStwQIECBAgMAQBXragm+1M37k5W1ve1t2sl3799kPP/zw1iRuCRAgQIAAgSEK9Bzwca34uL78u9/97tT6+cchtt+qCRAgQIAAgd0I9LyLPkI9fiHuL//yLzt+AW43yzaKAAECBAgQGJJAzwEf7YwfibnkkkvSC1/4wuznX+MnYOOfY/BDqqLVEiBAgACBnQR63kUf87/vfe9L73nPe3ZaVEqOwe9CYsROArH3x0CAAAECCy/QV8C/613vSg899NAurfu93/u99JrXvGaX8UYQIECAAAEC+Qr0FfCxBR8/ARtD3MaV7a666qoUv/NuIECAAAECBIYv0FfAn3zyyR0tP+uss9J9992X/v3f/z392I/9WMdj7hAgQIAAAQL5C/R1kt3OzYyvzt1zzz3piSee2Pkh9wkQIECAAIEhCPS1BR/H2R9++OGsuRHu8TOxixcvTn/6p386hC5YJQECBAgQILCzQF8B/6EPfShNTU3NLCt+Ue7YY49N4+PjM+P8QYAAAQIECAxPoK+Aj5Pppqens93ycZLdEUcckRYtGsje/uFJWDMBAgQIEKiQQF+p/PWvfz2dcMIJWbCfdNJJafny5Wn9+vUVYtEVAgQIECBQboG+Av4d73hHOvfcc7Pj8N/5znfSddddl1385itf+Uq5NbSeAAECBAhURKCvXfQR5Bs2bJg55n7qqaemt771remmm25KxxxzTEVodIMAAQIECJRXoK8t+Dih7ktf+lJHrz/zmc+kF73oRR3j3CFAgAABAgSGI9DXFvzP/dzPZZekPeOMM9JBBx2Ubc2vXLkyveENbxhOL6yVAAECBAgQ6BDoaws+rlYXV617xSteke2mj9+Gv/nmm7Pvwncs3R0CBAgQIEBgKAJ9bcE/+eST6ROf+ER6//vfn0ZHR9Oll16afQ8+zqg3ECBAgAABAsMX6GsLPs6ij8vSxnfhY3jVq16V1q5dm+KMegMBAgQIECAwfIG+tuBvueWWtGnTpjQyMpL1IMI9zqz/5Cc/mS6++OLh90oLCBAgQIBAzQX62oKfmJhIt956awfdjTfemFasWNExzh0CBAgQIEBgOAJ9bcH/1m/9Vnr1q1+dXv7yl6c1a9akjRs3pqOPPtpZ9MOpobUSIECAAIFdBPoK+PPOOy/993//d3Zhmy1btmQn2x1yyCG7LNwIAkUXmJyc7KmJcYEnAwECBMog0FfAR8eOPPLI7F8ZOqmNBAgQIECgbgJ9HYOvG5L+EiBAgACBsgkI+LJVTHsJECBAgEAXAgK+CySTECBAgACBsgn0fQy+bB3VXgJVFHCSYBWrqk8EBiNgC34wjpZCgAABAgQKJSDgC1UOjSFAgAABAoMREPCDcbQUAgQIECBQKAEBX6hyaAwBAgQIEBiMgIAfjKOlECBAgACBQgkI+EKVQ2MIECBAgMBgBAT8YBwthQABAgQIFEpAwBeqHBpDgAABAgQGIyDgB+NoKQQIECBAoFACAr5Q5dAYAgQIECAwGAEBPxhHSyFAgAABAoUSEPCFKofGECBAgACBwQgI+ME4WgoBAgQIECiUgIAvVDk0hgABAgQIDEagcj8Xu3Tp0sHI9LiURYue/6w0rPX32FyT9ykwjPqOjo6m1vOrz2bPzDaM9rdWPjY2lhqNRhpmG1ptmc/tyMhIVo9B1WQ+bZnPvOPj41k/yl6PMIjnVhX6EX1ZsmRJ9jqJv+c7VC7gt27dOl+TvuaPN+EYhrX+vhptpp4FhlHfeCPevn37QF70w2h/C3nZsmVZH4bZhlZb5nMbwR6Bsm3btvksphDzTk9PV+I9K8K97M+r1hNiamoqRV1aw8TEROvPnm8rF/A9C5iBQIEEJicnC9QaTSFAoMwCjsGXuXraToAAAQIEZhEQ8LPAGE2AAAECBMosIODLXD1tJ0CAAAECswgI+FlgjCZAgAABAmUWEPBlrp62EyBAgACBWQQE/CwwRhMgQIAAgTILCPgyV0/bCRAgQIDALAICfhYYowkQIECAQJkFBHyZq6ftBAgQIEBgFgEBPwuM0QQIECBAoMwCAr7M1dN2AgQIECAwi4CAnwXGaAIECBAgUGYBAV/m6mk7AQIECBCYRUDAzwJjNAECBAgQKLOAgC9z9bSdAAECBAjMIiDgZ4ExmgABAgQIlFlAwJe5etpOgAABAgRmERDws8AYTYAAAQIEyiwg4MtcPW0nQIAAAQKzCAj4WWCMJkCAAAECZRYQ8GWunrYTIECAAIFZBAT8LDBGEyBAgACBMgsI+DJXT9sJECBAgMAsAgJ+FhijCRAgQIBAmQUEfJmrp+0ECBAgQGAWAQE/C4zRBAgQIECgzAICvszV03YCBAgQIDCLgICfBcZoAgQIECBQZgEBX+bqaTsBAgQIEJhFQMDPAmM0AQIECBAos4CAL3P1tJ0AAQIECMwiIOBngTGaAAECBAiUWUDAl7l62k6AAAECBGYREPCzwBhNgAABAgTKLCDgy1w9bSdAgAABArMICPhZYIwmQIAAAQJlFhgrc+O1nUDRBSYnJ4veRO0jQKCiArbgK1pY3SJAgACBegsI+HrXX+8JECBAoKICAr6ihdUtAgQIEKi3gICvd/31ngABAgQqKiDgK1pY3SJAgACBegsI+HrXX+8JECBAoKICAr6ihdUtAgQIEKi3gICvd/31ngABAgQqKiDgK1pY3SJAgACBegsI+HrXX+8JECBAoKICAr6ihdUtAgQIEKi3gICvd/31ngABAgQqKiDgK1pY3SJAgACBegsI+HrXX+8JECBAoKICC/pzsVu2bEnXXHNNevzxx9MRRxyRzj777IzxjjvuSBs3bkw7duxIF1xwQdpvv/3SI488kk0b85x++unp+OOPz6a94YYb0m233ZZWrFiRLrzwwrR06dKKlkK3CBAgQIDA4AQWdAs+wvmYY45Jl19+efrGN76RNm/enLZu3ZquvfbadNFFF6Xzzz8/XXnllVlvrrrqqhS/nX3JJZekDRs2pGeeeSbdddddadOmTdn8hx56aLr++usH13NLIkCAAAECFRZY0C3417/+9RndY489lp544om09957p4cffjitWbMm7bXXXtm/Z599NtuSf/LJJ7PxMcNhhx2W7rnnnnT//fen4447Lo2OjqYTTzwxrVu3rsKl0DUCBAgQIDA4gQUN+GhmBPdHP/rRtHz58mz3+n333ZcFe6sLy5Yty3bPj419rykR/rGrPnbtr169Ops0potx7cNv//ZvpwceeGBm1Ote97qZwwAzI3P+4+CDD855jVaXp0DZ61uE9u+zzz55lsy65hAownNijibW6uHYAG4fnn766fa7Pf39vVTtabbuJ45j5+985zuzY+5x3P3www9PU1NTMwvYvn17WrVqVdq2bdvMuPh7YmIiRai3po3p4kNC+/CLv/iLaXp6emZUQNx7770z9/P8I/Yy7L///ik+wBiqKzCs59egRIfZ/pUrV6ZGo5HtzRtUf4axnEWLFmV7FeM9qczDkiVLsvfehx56qMzdyNoefWllRZk7E+Eee67bcy02eHfOvm77uKABf/XVV6eTTz45HXTQQVmDI7QjBD/1qU9lL/Q4Hh8v+CjO+Ph4toUenYlj9WeeeWZWsDgGf8IJJ2TH41tb863OxQeA9iGWF7v8hzGMjIxkq20vzDDaYZ0LK1D2+g6z/fFaj3/DbMOgnh0R8mXvR5XqUZXnVTw/43k1qOfWggb8Kaeckj75yU9mu+YjAN/85jdnf7eOpz/11FPpvPPOy15zcXvFFVdkx+PjxLz4tB9b/3feeWdav359tqv/0ksvHdTr03IIECBAgEClBRY04A888MB02WWXZbvfYwu9NZx22mkpwj8+Bce/GOJrdPEvdnstXrw4GxePrV27dpf5swf9R4AAAQIECMwqsKAB31pre7i3xrWfVNcaF7etcG8ft7v52x/3NwECBAgQINApsKDfg+9clXsECBAgQIBAXgICPi9p6yFAgAABAjkKCPgcsa2KAAECBAjkJSDg85K2HgIECBAgkKOAgM8R26oIECBAgEBeAgI+L2nrIUCAAAECOQoI+ByxrYoAAQIECOQlIODzkrYeAgQIECCQo4CAzxHbqggQIECAQF4CAj4vaeshQIAAAQI5Cgj4HLGtigABAgQI5CUg4POSth4CBAgQIJCjgIDPEduqCBAgQIBAXgICPi9p6yFAgAABAjkKCPgcsa2KAAECBAjkJSDg85K2HgIECBAgkKOAgM8R26oIECBAgEBeAgI+L2nrIUCAAAECOQoI+ByxrYoAAQIECOQlIODzkrYeAgQIECCQo4CAzxHbqggQIECAQF4CAj4vaeshQIAAAQI5Cgj4HLGtigABAgQI5CUg4POSth4CBAgQIJCjgIDPEduqCBAgQIBAXgICPi9p6yFAgAABAjkKCPgcsa2KAAECBAjkJSDg85K2HgIECBAgkKOAgM8R26oIECBAgEBeAgI+L2nrIUCAAAECOQoI+ByxrYoAAQIECOQlMJbXiqyHQBUEJicnq9ANfSBAoAYCtuBrUGRdJECAAIH6CQj4+tVcjwkQIECgBgICvgZF1kUCBAgQqJ+AgK9fzfWYAAECBGogIOBrUGRdJECAAIH6CQj4+tVcjwkQIECgBgICvgZF1kUCBAgQqJ+AgK9fzfWYAAECBGogIOBrUGRdJECAAIH6CQj4+tVcjwkQIECgBgICvgZF1kUCBAgQqJ+AgK9fzfWYAAECBGogIOBrUGRdJECAAIH6CQj4+tVcjwkQIECgBgICvgZF1kUCBAgQqJ+AgK9fzfWYAAECBGogIOBrUGRdJECAAIH6CQj4+tVcjwkQIECgBgICvgZF1kUCBAgQqJ/AWNW6vHTp0qF0adGi5z8rDWv9Q+m0lZZOYJjPz7GxsdRoNNIw2zCIgo2MjKR4vbde84NY5jCWMT4+nvWh7PUIu3huVaEf0ZclS5Zkr5P4e75D5QJ+69at8zXpa/7R0dFsvmGtv69Gm6l2AsN8fi5btix74xpmGwZR8Aj2CJRt27YNYnFDXcb09HQqez0CMMK9Cv2IvkxNTaWoS2uYmJho/dnzrV30PZOZgQABAgQIFF9AwBe/RlpIgAABAgR6FqjcLvqeBQY4w9FHHz3ApVkUAQIECBDoX8AWfP925iRAgAABAoUVEPCFLY2GESBAgACB/gUEfP925iRAgAABAoUVEPCFLY2GESBAgACB/gUEfP925iRAgAABAoUVEPCFLY2GESBAgACB/gUEfP925iRAgAABAoUVEPCFLY2GESBAgACB/gUEfP925iRAgAABAoUVEPCFLY2GESBAgACB/gUEfP925iRAgAABAoUVEPCFLY2GESBAgACB/gUEfP925iRAgAABAoUVEPCFLY2GESBAgACB/gUEfP925iRAgAABAoUVEPCFLY2GESBAgACB/gUEfP925iRAgAABAoUVEPCFLY2GESBAgACB/gUEfP925iRAgAABAoUVEPCFLY2GESBAgACB/gUEfP925iRAgAABAoUVEPCFLY2GESBAgACB/gUEfP925iRAgAABAoUVEPCFLY2GESBAgACB/gUEfP925iRAgAABAoUVEPCFLY2GESBAgACB/gUEfP925iRAgAABAoUVEPCFLY2GESBAgACB/gXG+p/VnAQIlE1gcnJywZu8YcOGBV+HFRAgMLeALfi5jUxBgAABAgRKJyDgS1cyDSZAgAABAnMLCPi5jUxBgAABAgRKJyDgS1cyDSZAgAABAnMLCPi5jUxBgAABAgRKJyDgS1cyDSZAgAABAnMLCPi5jUxBgAABAgRKJyDgS1cyDSZAgAABAnMLCPi5jUxBgAABAgRKJyDgS1cyDSZAgAABAnMLCPi5jUxBgAABAgRKJyDgS1cyDSZAgAABAnMLCPi5jUxBgAABAgRKJyDgS1cyDSZAgAABAnMLCPi5jUxBgAABAgRKJyDgS1cyDSZAgAABAnMLjM09iSkIECDQvcDk5GT3Ezen3LBhQ0/Tm5gAge4EbMF352QqAgQIECBQKgEBX6pyaSwBAgQIEOhOwC767pxMRYBASQUcMihp4TR73gKFD/gbbrgh3XbbbWnFihXpwgsvTEuXLp13py2AAAECswn4QDCbjPFlEyh0wN91111p06ZN6fLLL08333xzuv7669O5555bNmPtJUCAAIECCdTlQ1yhA/6b3/xmOu6449Lo6Gg68cQT07p16zqeIlNTU2l6enpm3I4dO9LIyMjM/Tz/GNZ68+yjdRFYCIGyv3bK2v5Wu1u3C1HbfpZ59tln9zTbddddl73vL2Q/FnLZO3c21jWo9RU64B9//PG0evXqrP/Lli1LW7Zs6bD4yEc+kh544IGZca9//etTr5/MZmYewB9f/epXB7AUiyBAYJACXpd71jz44IP3PEHOj+ZRrzzW0S/bmjVrOmZ96qmnOu73cqfQAR+hHlvpMWzfvj0tX768o2/vfve7U6PRmBn32GOPpbvvvnvmfp5/xF6GAw44IG3evDnP1S7IuuI8h61bty7IsvNcaHw4fPTRR2eeQ3mue5DrGh8fz57/7c/1QS4/r2WtWrUqe73GB/cyD4sWLUpjY2Np27ZtZe5Gdj5T1OTBBx8sdT+i8VV5z4oPW/fee2/HnumJiYldsq/bghX6a3IHHnjgTGDH8fjW1nyrc7EbI15srX+t8W4JECBAgEDdBQod8N///d+ffUpev359uvbaa9M555xT93rpPwECBAgQ6Eqg0LvoY8t87dq1WcjHbkoDAQIECBAg0J1AobfgW10Q7i0JtwQIECBAoDuBUgR8d10xFQECBAgQINASEPAtCbcECBAgQKBCAgK+QsXUFQIECBAg0BIQ8C0JtwQIECBAoEICAr5CxdQVAgQIECDQEhDwLQm3BAgQIECgQgICvkLF1BUCBAgQINASEPAtCbcECBAgQKBCAgK+QsXUFQIECBAg0BIQ8C0JtwQIECBAoEICAr5CxdQVAgQIECDQEhDwLQm3BAgQIECgQgICvkLF1BUCBAgQINASEPAtCbcECBAgQKBCAgK+QsXUFQIECBAg0BIYaTSH1h23/Qs88cQT6Xd/93fTBz7wgf4XYs6BCnz4wx9Ob3rTm9Khhx460OVaWH8C//Iv/5JGR0fTOeec098CzDVQga9//evpX//1X9Mv/dIvDXS5Fta/wLve9a703ve+N+299979L6RtzrG2v/05D4Hp6em0devWeSzBrIMWmJqaSlEXQzEEtm/fnmxPFKMW0Yp4bWzbtq04DdKSLEMG+Z5lF70nFQECBAgQqKCAgK9gUXWJAAECBAg4Bj+g50Dsfvza176WXvaylw1oiRYzX4E4xrh69eqBHc+ab3vqPv9DDz2URkZG0r777lt3ikL0/+mnn05Rk8MPP7wQ7dGIlG6//fZ01FFHpbGxwRw9F/CeVQQIECBAoIICdtFXsKi6RIAAAQIEBLznAAECBAgQqKDAYHb0VxBmT1165JFH0jXXXJO2bNmSTj/99HT88cd3TL5jx4509dVXp4cffjgdeeSR6bWvfW3H4+4MXuCGG25It912W1qxYkW68MIL09KlS3dZSTx+9913p3PPPXeXx4wYrMAdd9yRNm7cmOK1cMEFF6T99tuvYwVf+MIX0v/8z/9k34v/4R/+YceBO3QGf2eu96zNmzenT3/60+nZZ5/N3tOOPfbYwTfCEmcEus2Ir371qyleKz/xEz8xM28vf9iC70Xru9NeddVVaXJyMl1yySVpw4YN6ZlnnulYyn/8x39kb2g///M/n4X8nXfe2fG4O4MVuOuuu9KmTZvS5Zdfnl3U5vrrr99lBTHuH//xH12rYBeZwY+I60Fce+216aKLLkrnn39+uvLKKztWEh+MI/zf+ta3prVr16ZPfOITvh/fITT4O3O9Z/3zP/9zVqu3v/3t6eMf/7jrRwy+BB1L7CYjIleiLk899VTHvL3cEfC9aH132ieffDKtWbMmOzv7sMMOS/fcc0/HUr75zW+ml7/85dnWyQknnJCdXd8xgTsDFQjv4447LvM+8cQTd+sdV4b68R//8YGu18J2LxB7ruL1sddee6UDDzww2yqMLZbWMD4+nt7xjndkZwrH2cJxFUgXwGnpLMztXO9ZsTGyatWqdO+996aoz6JFomFhKvH8UrvJiPigdfbZZ8+rGarYI198qmr/CkO8icUWSfvw+OOPZ29uMW53j7dP6+/5C7R7L1u2bJd6xBpe+cpXetOaP3VXS2ivR8ywc00WL16cli9fnu2+/9u//dvsTUygdEXb10TdvGfFgmNPY+xNeelLX2oLvi/p7mdqf43sLiP+67/+Kx1wwAHZ13y7X+quUwr4XU32OGbJkiUdl3eMSz1OTEx0zBNvaHGZ1Bh293jHxO7MW6DdO65HEOFhGJ5AnP/Qev5HK6ImO19bO14Xf/EXf5FiD1icx2JYOIFu3rNi7fH961/91V9N3/nOd1JcQ8KwcALt71k7Z0R8IIvfbYgNyVtvvTU9+uijKY7F9zMI+B7V4scyYhdWbLXHbsU4OWXnE4hit2SczBVDHB+OT2KGhRPY2TsubmMYnsD++++f7r///uz1ESdtxeukfa9XXGv7z//8z9MP/uAPple96lXDa2hN1jzXe1bU40/+5E9mNlzivg/JC/vk2Pk9qz0jol5veMMbsg/F8WG5Vb9+WjT6/5pDPzPWeZ4Xv/jF2Qlbn/vc59IxxxyTXb0uPvX+8R//cTr11FNTvMHFSV233HJLdvwxzqKPK3gZFkbgJS95SXYG/Wc/+9nsNs6ij62W97///VmIxAeyGOJM4m9961uuNrgwZZhZatjHMfdPfepT6aabbkrnnXdeetGLXpT+/u//Ptv1++CDD6Ybb7wxq8XNN9+c4l+csxK77g0LI7C796zYDfz5z38+ez3E+1P8styXvvSlbIMlzmUxLJzA7jLiscceyzIk9mjFRkr8i73DsbH46le/uq/GuJJdX2zPzxS7Hvf0phS7XlrhMo/VmLVLAd5dQuU0WYR8HFt3fD0n8C5Ws6f3rNhyf+655/b4ntbFKkzSg8BCv2cJ+B6KYVICBAgQIFAWAcfgy1Ip7SRAgAABAj0ICPgesExKIE+B+LWvODYaJzzFFfra/8UvF+5p+I3f+I2Zk6biTPX//d//3dPkXT923333ZccJu57huxPG96w/9KEPZfdOPvnk7Hh8r8swPQECvQkI+N68TE0gd4G4Sl9cqKT9X1wCebYhjqP+5m/+5sx3meMktjgZdBBDnDR33XXXDWJRlkGAwAILCPgFBrZ4AgslECex/czP/ExauXJlOvjgg9Pv/M7vZKuKbxHEEFf3i28O/PRP/3R2Kd+4Fn9cPvayyy5LL3zhC9OP/MiPZOPPOOOM7Mpzf/AHf5DNF//99V//dTr66KOzs3jjDPf4Pu4DDzyQfuVXfiVtbF5m9qd+6qeyaeNs+FhPtOGNb3xjtr54IL4a98u//MvZN0pOO+20FFv+3QyxvFjOC17wgvSjP/qj2e+Vx3yxx+KHfuiHsr0Z0Z74BsuexmcP+o9A3QWaL0QDAQIFFGheg7rRfH9qfOADH2j80R/90cy/v/u7v8ta27zGe6MZno1miDe+8pWvNJq78hvNC5Q0ml+3yeZrfh2t0TwzunHooYc2ml9/ajS/FtVo7vJvND8INJpfvWk0fySp0fz6VKP5IyONL37xi41mqDaa15FvNMO00bwwTaP5YzCN5tc/G83rkzeal8xsNPcMNJrfX280f4ehEW1rfuUwW2fzanSNZvg3Lr744kYz1LO2Nb9X3Wh+z73R/NGZRvPrcY3mt0kaH/zgB7PHTjrppMbHPvaxXcSbeyoazcMQjb/6q79qNC+Z2mh+UMnWGxO+6U1vyhyaFwHJHJqXgM7mn238Lgs3gkANBfyaXN0/4el/4QVit3h8t7w1xHXef/InfzL7OlNcO/w///M/s8u9fvvb386mi130McRW9c7XX4graP3ar/1a9vhZZ52VbRnHbQzxXfUvf/nL2aVK4xoOL3vZy7LrxMfu/fi+dHzdLa5IF18Nje/nfvSjH82miYtyxPCe97wn+6W+3//9388uedoM/OzqaHGFtOYHlGyaPf0Xv9AYv2IW88UQ1zE44ogjsu/Lx4Vy4le14ope8aNCP/uzP5tNM9v47EH/Eai5gF30NX8C6H7xBf7mb/4m+3niCMD4FxdUiiF2YcfPSL7tbW9L++67b3aZ0fZLxO6uZ+1X+YtrYEf4toa4ZkN8OIiT+v7hH/4hC/p4PH6FL74jvfMQu91jt39cuzz+xa74uMZ2XMUufkwjrlTXGmL3+lxD/GhT+3SHH354dighDg185CMfyS5529z6zw4dxK+jxTDb+LnW5XECdRAQ8HWosj5WUiDCPI6JRwA2d3lnP9F6xRVX7LGvcdnLuYb4QBG/ZBXBHledi+uTN/du7jJbhG38iE9M0/oXW9nxIeKggw5KzcMGM/PEiYJzDbEHoX2eWGZcIbJ5iCG71G2056GHHsq23uO8grhGd2zB7278XOvyOIE6CAj4OlRZH0stEJewjKBr/xdXwIrfWY+fwI3d8Oecc062FR0djRCPXfrxM6z9DLGe2DUeu8sj2ONDQ1wBLYbYRd9ablw+M3blN4/fZ481zw3ITtyLrf3Y7R9b2fGbDbFl/pnPfCabpvVffAWwvT/xAxvNY/vZpW3/7//+L9tjENerj8ME++yzT7bbPn6cJk6+i8MT0b9o28XN3fm7G99aj1sCdRYQ8HWuvr6XQiB2f8dZ7+3/rr766vSWt7wlC9zv+77vy7aY4xh57LKP4cwzz8x+iz3CstchlhG73+Ps+AjYuC55bE1HCP/AD/xAtpXdPEEv+xnY5olz2a75aOOHP/zhtG7duuwDxq//+q9nj8cHhVNOOSXFd9/bh/g9+Pb+xHkBr3jFK9J73/veFHsGDjnkkBR9/Kd/+qdstjgev379+mz3fJzd/773vS87Z2C28e3r8jeBugq4VG1dK6/flRFonvmeXdQmLoTTPsTW884/09r++Fx/xy7wVatW7XIt+dhCj8MDccJeDHHcPo69R2DvPMTWfpyQ182hgda88fW/mG93y4u9GXGOQPuv08V8s41vLdMtgToKCPg6Vl2fCRAgQKDyAnbRV77EOkiAAAECdRQQ8HWsuj4TIECAQOUFBHzlS6yDBAgQIFBHAQFfx6rrMwECBAhUXkDAV77EOkiAAAECdRQQ8HWsuj4TIECAQOUFBHzlS6yDBAgQIFBHAQFfx6rrMwECBAhUXuD/A/Eul6ZbK4/1AAAAAElFTkSuQmCC" alt="plot of chunk estimated_loss_hist"/> </p> | |
| <pre><code>## Min. 1st Qu. Median Mean 3rd Qu. Max. NA's | |
| ## 0.005 0.042 0.072 0.080 0.112 0.366 29084 | |
| </code></pre> | |
| <p>The Estimated Loss distribution seems to be multimodal. Let's take a closer look. </p> | |
| <p><img src="data:image/png;base64,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" alt="plot of chunk estimated_loss_hist2"/> </p> | |
| <p>The distribution appears quite discrete, with prominent spikes are 0.02, 0.04, 0.08, 0.09, 0.15 and 0.17. Does this has something to do with Prosper Score, Credit Grade or other risk indicators that are tier/level based? </p> | |
| <h3>Estimated Return</h3> | |
| <p>After plotting the APR, loss, we should examine the return of the loans, as this is related to the actual profitability of a loan. </p> | |
| <p><img 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" alt="plot of chunk estimated_return_hist"/> </p> | |
| <pre><code>## Min. 1st Qu. Median Mean 3rd Qu. Max. NA's | |
| ## -0.183 0.074 0.092 0.096 0.117 0.284 29084 | |
| </code></pre> | |
| <p>It appears that the Estimated Return poses a skewed normal distribution, peaking at 0.1 and with a couple of outliers below 0. </p> | |
| <p><img src="data:image/png;base64,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" alt="plot of chunk estimated_return_hist2"/> </p> | |
| <p>The transformed EstimatedReturn seems to be multimodal peaking at 0.08, 0.11, 0.12, 0.14.</p> | |
| <h2>Original Loan Amount</h2> | |
| <p>After examining the Borrower ARP, Lender Yield, Estimated Effective Yield/Loss/Return, I am going to look at the loan amount, i.e. how much a borrower can get from a loan. </p> | |
| <pre><code>## Min. 1st Qu. Median Mean 3rd Qu. Max. | |
| ## 1000 4000 6500 8337 12000 35000 | |
| </code></pre> | |
| <p>The median value for the original loan amount is 6500, mean value is 8337. The minimum value is $1000, and the maximum is $35,000.</p> | |
| <p><img 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" alt="plot of chunk LoanOriginalAmount_hist"/> </p> | |
| <p>It is noticed that the majority of the loans are below 10000. And it seems that the distribution is multi-modal, with multiple peaks at 4000, 10000, 15000, 20000, 25000. For the small amount of loans (< $4500), the number of loans increases with increase of loan amount. However, after around $4500, the number of loans decreases exponentially (except for a few obvious spikes). Let's finer tune the x axis. </p> | |
| <p><img 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" alt="plot of chunk LoanOriginalAmount_hist2"/> </p> | |
| <p>There seems to be quite a few spikes above the trend line which indicates the distribution is quite discrete, with most of loan amounts at times of 5000. Is this a matter of convenience or some sort of convention? </p> | |
| <p>Also, the most popular small loan amount is $4000 and not expected $5000. </p> | |
| <p>There are very few loans with original amount over 25000. This is understandable as larger loan amount indicates higher risk if defaults really happen so fewer lenders are willing to provide large loans. </p> | |
| <p>The distribution seems to be consisted of multiple negative exponential relationships between the number of loans and the original loan amount. Again, let's transform the plot a little bit in order to better understand the pattern. </p> | |
| <p><img src="data:image/png;base64,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" alt="plot of chunk LoanOriginalAmount_hist3"/> </p> | |
| <p>After adjusting the X axis to the log scale, it shows that with increase of LoanOriginalAmount, number of loans decreases linearly, which indicates negative exponential relationship. </p> | |
| <h2>Income</h2> | |
| <p>It seems intuitive to me that monthly income plays an important role in determining the risk of a borrower. The higher the income, the less likely the borrower is going to default. Let's start by plotting the histogram of income range.</p> | |
| <p><img src="data:image/png;base64,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" alt="plot of chunk income_range_hist"/> </p> | |
| <pre><code>## Error in eval(expr, envir, enclos): could not find function "summarize_cat_var" | |
| </code></pre> | |
| <p>Most of the borrowers (55%) are within annual income range of $25K-$75K. There are 30% of borrowers over $75K.</p> | |
| <p>To further investigate income, I am going to look at StatedMonthlyIncome. Let's start by creating a summary.</p> | |
| <pre><code>## Min. 1st Qu. Median Mean 3rd Qu. Max. | |
| ## 0 3200 4667 5608 6825 1750000 | |
| </code></pre> | |
| <p>The StatedMonthlyIncome's median is 4667 and mean value is 5608. But the max value is 1750000, which is obviously an extreme outlier. </p> | |
| <p>I am going to remove the top 1% of monthly income in order to get a better shaped distribution. Also, let's try adjusting the x axis to the log scale to get a less-skewed normal distribution. </p> | |
| <p><img src="data:image/png;base64,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" alt="plot of chunk StatedMonthlyIncome_hist"/> </p> | |
| <p>Stated Monthly Income presents a normal distribution on the log scale. </p> | |
| <p>Let's see the summary of the data with the log10 operator. We removed top 1% and zero values in order to get fair comparison.</p> | |
| <pre><code>## Min. 1st Qu. Median Mean 3rd Qu. Max. | |
| ## -1.079 3.512 3.669 3.650 3.827 4.312 | |
| </code></pre> | |
| <p>The median 3.669 ($4666) and the mean 3.650 ($4467) are very close, and the differences between median with 1st and 3rd quantiles are similar, indicating a better normal distribution. </p> | |
| <h3>Debt-to-Income Ratio</h3> | |
| <p>The risk of loans also depends on the debt-pay ability of the borrower, i.e. ability to repay their debt. So let's look at Debt to Income Ratio.</p> | |
| <pre><code>## Min. 1st Qu. Median Mean 3rd Qu. Max. NA's | |
| ## 0.000 0.140 0.220 0.276 0.320 10.010 8554 | |
| </code></pre> | |
| <p>80% of the borrowers' Debt-to-Income Ratio is no more than 0.32. </p> | |
| <p>The median 0.220 is lower than the mean value 0.276. The maximum value is 10.010, which implies the distribution could be skewed by the upper outliers. Let's limit the x axis range to 0 to 1. </p> | |
| <p><img src="data:image/png;base64,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" alt="plot of chunk DebtToIncomeRatio_hist"/> </p> | |
| <p>The distribution seems to be a positively-skewed normal distribution, peaking around 0.18. </p> | |
| <h2>Employment and Occupation</h2> | |
| <h3>Employment Status</h3> | |
| <p>As employment plays an important role in determining the salary level, I'm going to find out how its distribution looks like.</p> | |
| <p><img 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" alt="plot of chunk employment_status_hist"/> </p> | |
| <pre><code>## Source: local data frame [9 x 3] | |
| ## | |
| ## EmploymentStatus NumOfLoans NumOfLoans.percent | |
| ## 1 Employed 67322 0.590870393 | |
| ## 2 Full-time 26355 0.231312041 | |
| ## 3 Self-employed 6134 0.053836769 | |
| ## 4 Not available 5347 0.046929443 | |
| ## 5 Other 3806 0.033404425 | |
| ## 6 NA 2255 0.019791639 | |
| ## 7 Part-time 1088 0.009549137 | |
| ## 8 Not employed 835 0.007328611 | |
| ## 9 Retired 795 0.006977540 | |
| </code></pre> | |
| <p>The majority (87%) of the loans are from employed borrowers (“Employed”, “Full-Time”, “Part-Time”, “Self-Employed”). </p> | |
| <p>But why is the ambiguous word “Employed” here and what does it mean when compared to Full-Time / Part-Time / Self-Employed? It appears to me this variable needs to be further translated, i.e. we assume the Employed is consisted of the same proportion as is for Full-Time, Part-Time and Self-Employed. Let's leave it for now.</p> | |
| <h3>Occupaion</h3> | |
| <pre><code>## Occupation NumOfLoans NumOfLoans.percent | |
| ## 1 Other 28617 0.2511651176 | |
| ## 2 Professional 13628 0.1196099599 | |
| ## 3 Computer Programmer 4478 0.0393024215 | |
| ## 4 Executive 4311 0.0378366992 | |
| ## 5 Teacher 3759 0.0329919166 | |
| ## 6 Administrative Assistant 3688 0.0323687652 | |
| ## 7 Analyst 3602 0.0316139621 | |
| ## 8 3588 0.0314910872 | |
| ## 9 Sales - Commission 3446 0.0302447844 | |
| ## 10 Accountant/CPA 3233 0.0283753302 | |
| ## 11 Clerical 3164 0.0277697324 | |
| ## 12 Sales - Retail 2797 0.0245486541 | |
| ## 13 Skilled Labor 2746 0.0241010383 | |
| ## 14 Retail Management 2602 0.0228371820 | |
| ## 15 Nurse (RN) 2489 0.0218454058 | |
| ## 16 Construction 1790 0.0157104365 | |
| ## 17 Truck Driver 1675 0.0147011068 | |
| ## 18 Laborer 1595 0.0139989643 | |
| ## 19 Police Officer/Correction Officer 1578 0.0138497591 | |
| ## 20 Civil Service 1457 0.0127877687 | |
| ## 21 Engineer - Mechanical 1406 0.0123401529 | |
| ## 22 Military Enlisted 1272 0.0111640644 | |
| ## 23 Food Service Management 1239 0.0108744306 | |
| ## 24 Engineer - Electrical 1125 0.0098738777 | |
| ## 25 Food Service 1123 0.0098563241 | |
| ## 26 Medical Technician 1117 0.0098036634 | |
| ## 27 Attorney 1046 0.0091805120 | |
| ## 28 Tradesman - Mechanic 951 0.0083467179 | |
| ## 29 Social Worker 741 0.0065035941 | |
| ## 30 Postal Service 627 0.0055030412 | |
| ## 31 Professor 557 0.0048886665 | |
| ## 32 Realtor 543 0.0047657916 | |
| ## 33 Doctor 494 0.0043357294 | |
| ## 34 Nurse (LPN) 492 0.0043181758 | |
| ## 35 Nurse's Aide 491 0.0043093991 | |
| ## 36 Tradesman - Electrician 477 0.0041865241 | |
| ## 37 Waiter/Waitress 436 0.0038266761 | |
| ## 38 Fireman 422 0.0037038012 | |
| ## 39 Scientist 372 0.0032649622 | |
| ## 40 Military Officer 346 0.0030367659 | |
| ## 41 Bus Driver 316 0.0027734625 | |
| ## 42 Principal 312 0.0027383554 | |
| ## 43 Teacher's Aide 276 0.0024223913 | |
| ## 44 Pharmacist 257 0.0022556325 | |
| ## 45 Student - College Graduate Student 245 0.0021503111 | |
| ## 46 Landscaping 236 0.0020713201 | |
| ## 47 Engineer - Chemical 225 0.0019747755 | |
| ## 48 Investor 214 0.0018782310 | |
| ## 49 Architect 213 0.0018694542 | |
| ## 50 Pilot - Private/Commercial 199 0.0017465792 | |
| ## 51 Clergy 196 0.0017202489 | |
| ## 52 Student - College Senior 188 0.0016500347 | |
| ## 53 Car Dealer 180 0.0015798204 | |
| ## 54 Chemist 145 0.0012726331 | |
| ## 55 Psychologist 145 0.0012726331 | |
| ## 56 Biologist 125 0.0010970975 | |
| ## 57 Religious 124 0.0010883207 | |
| ## 58 Flight Attendant 123 0.0010795440 | |
| ## 59 Homemaker 120 0.0010532136 | |
| ## 60 Tradesman - Carpenter 120 0.0010532136 | |
| ## 61 Student - College Junior 112 0.0009829994 | |
| ## 62 Tradesman - Plumber 102 0.0008952316 | |
| ## 63 Student - College Sophomore 69 0.0006055978 | |
| ## 64 Dentist 68 0.0005968211 | |
| ## 65 Student - College Freshman 41 0.0003598480 | |
| ## 66 Student - Community College 28 0.0002457498 | |
| ## 67 Judge 22 0.0001930892 | |
| ## 68 Student - Technical School 16 0.0001404285 | |
| </code></pre> | |
| <p>The 25% of loans are from “Other” which indicates the distribution of the occupation is long-tail. Ambiguous occupations “Professional” has 12% of loans and ranks second. There is also 3% of missing values. These values are not quite meaningful.</p> | |
| <h2>Credit History</h2> | |
| <p>Borrowers may already have existing loans on Prosper. It is possible to evaluate the risk by looking at the historical data. </p> | |
| <h3>Total Prosper Loans</h3> | |
| <p>Let's start by looking at Total Prosper Loans.</p> | |
| <pre><code>## Min. 1st Qu. Median Mean 3rd Qu. Max. NA's | |
| ## 0.00 1.00 1.00 1.42 2.00 8.00 91852 | |
| </code></pre> | |
| <p>The summary shows there are 91852 NA values, about 80% of total observations. This means the majority of the borrowers are first-time borrowers on Prosper. There is also 0 total prosper loans equal 0, which should be equavalent to NA. Let's see its distribution.</p> | |
| <pre><code>## Source: local data frame [10 x 3] | |
| ## | |
| ## TotalProsperLoans NumOfLoans NumOfLoans.percent | |
| ## 1 NA 91852 8.061648e-01 | |
| ## 2 1 15538 1.363736e-01 | |
| ## 3 2 4540 3.984658e-02 | |
| ## 4 3 1447 1.270000e-02 | |
| ## 5 4 417 3.659917e-03 | |
| ## 6 5 104 9.127851e-04 | |
| ## 7 6 29 2.545266e-04 | |
| ## 8 7 8 7.021424e-05 | |
| ## 9 0 1 8.776780e-06 | |
| ## 10 8 1 8.776780e-06 | |
| </code></pre> | |
| <p>The 0 value only has 1 loan, which is probably error input. The TotalProsperLoans of 8 has 1 loan which seems to be an outlier. Let's remove it and plot the histogram. </p> | |
| <p><img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAfgAAAH4CAYAAACmKP9/AAAD8GlDQ1BJQ0MgUHJvZmlsZQAAOI2NVd1v21QUP4lvXKQWP6Cxjg4Vi69VU1u5GxqtxgZJk6XpQhq5zdgqpMl1bhpT1za2021Vn/YCbwz4A4CyBx6QeEIaDMT2su0BtElTQRXVJKQ9dNpAaJP2gqpwrq9Tu13GuJGvfznndz7v0TVAx1ea45hJGWDe8l01n5GPn5iWO1YhCc9BJ/RAp6Z7TrpcLgIuxoVH1sNfIcHeNwfa6/9zdVappwMknkJsVz19HvFpgJSpO64PIN5G+fAp30Hc8TziHS4miFhheJbjLMMzHB8POFPqKGKWi6TXtSriJcT9MzH5bAzzHIK1I08t6hq6zHpRdu2aYdJYuk9Q/881bzZa8Xrx6fLmJo/iu4/VXnfH1BB/rmu5ScQvI77m+BkmfxXxvcZcJY14L0DymZp7pML5yTcW61PvIN6JuGr4halQvmjNlCa4bXJ5zj6qhpxrujeKPYMXEd+q00KR5yNAlWZzrF+Ie+uNsdC/MO4tTOZafhbroyXuR3Df08bLiHsQf+ja6gTPWVimZl7l/oUrjl8OcxDWLbNU5D6JRL2gxkDu16fGuC054OMhclsyXTOOFEL+kmMGs4i5kfNuQ62EnBuam8tzP+Q+tSqhz9SuqpZlvR1EfBiOJTSgYMMM7jpYsAEyqJCHDL4dcFFTAwNMlFDUUpQYiadhDmXteeWAw3HEmA2s15k1RmnP4RHuhBybdBOF7MfnICmSQ2SYjIBM3iRvkcMki9IRcnDTthyLz2Ld2fTzPjTQK+Mdg8y5nkZfFO+se9LQr3/09xZr+5GcaSufeAfAww60mAPx+q8u/bAr8rFCLrx7s+vqEkw8qb+p26n11Aruq6m1iJH6PbWGv1VIY25mkNE8PkaQhxfLIF7DZXx80HD/A3l2jLclYs061xNpWCfoB6WHJTjbH0mV35Q/lRXlC+W8cndbl9t2SfhU+Fb4UfhO+F74GWThknBZ+Em4InwjXIyd1ePnY/Psg3pb1TJNu15TMKWMtFt6ScpKL0ivSMXIn9QtDUlj0h7U7N48t3i8eC0GnMC91dX2sTivgloDTgUVeEGHLTizbf5Da9JLhkhh29QOs1luMcScmBXTIIt7xRFxSBxnuJWfuAd1I7jntkyd/pgKaIwVr3MgmDo2q8x6IdB5QH162mcX7ajtnHGN2bov71OU1+U0fqqoXLD0wX5ZM005UHmySz3qLtDqILDvIL+iH6jB9y2x83ok898GOPQX3lk3Itl0A+BrD6D7tUjWh3fis58BXDigN9yF8M5PJH4B8Gr79/F/XRm8m241mw/wvur4BGDj42bzn+Vmc+NL9L8GcMn8F1kAcXgSteGGAABAAElEQVR4Ae2dB5hU1dnH34VdduksLL13lCoSYwcLYCzBRsQYP/GTgEZNULErgjViTZRPSTTx0ZggPrFhbKjwKdZ8agILLL2DS+9lF5hv3pPczeyyu8zcmTtz77m/8zyzM3PLOe/7e+/O/55yz8mKRJOQIAABCEAAAhCwikANq7zBGQhAAAIQgAAEDAEEngsBAhCAAAQgYCEBBN7CoOISBCAAAQhAAIHnGoAABCAAAQhYSACBtzCouAQBCEAAAhBA4LkGIAABCEAAAhYSQOAtDCouQQACEIAABBB4rgEIQAACEICAhQQQeAuDiksQgAAEIAABBJ5rAAIQgAAEIGAhAQTewqDiEgQgAAEIQACB5xqAAAQgAAEIWEgAgbcwqLgEAQhAAAIQyA4Dgi1btsihQ4fC4GrgfaxZs6bx4eDBg4H3JQwO1KhRQzRmpaWlYXDXCh9r1aolJSUlVvgSBifq1Kkj+nKTQiHw+uOzd+9eN3x8e47+kx44cMC6G5f8/HzRFYx37drlW/ZuDLNVCOvWrSt5eXmydetWN1h8fY76tW/fPl/bmKhx2dnZov9jWumxLdkYL42RW3HXc2miVwokCEAAAhCAgGUEEHjLAoo7EIAABCAAASWAwHMdQAACEIAABCwkgMBbGFRcggAEIAABCCDwXAMQgAAEIAABCwkg8BYGFZcgAAEIQAACCDzXAAQgAAEIQMBCAgi8hUHFJQhAAAIQgAACzzUAAQhAAAIQsJAAAm9hUHEJAhCAAAQggMBzDUAAAhCAAAQsJIDAWxhUXIIABCAAAQgg8FwDEIAABCAAAQsJIPAWBhWXIAABCEAAAgg81wAEIAABCEDAQgIIvIVBxSUIQAACEIAAAs81AAEIQAACELCQAAJvYVBxCQIQgAAEIIDAB/QaiEQisnfv3oBaj9kQgAAEIOA1AQTea8Ie5f/444/Lww8/7FHuZAsBCEAAAkEngMAHNII9evSQefPmBdR6zIYABCAAAa8JIPBeE/Yo/549e8qSJUs8yp1sIQABCEAg6AQQ+IBGsG3btrJr1y5Zs2ZNQD3AbAhAAAIQ8JIAAu8lXQ/zrlmzpvTp00fmz5/vYSlkDQEIQAACQSWAwAc1clG7jzrqKAQ+wPHDdAhAAAJeEkDgvaTrcd5HH320LFiwwONSyB4CEIAABIJIAIEPYtT+bbMKPE30AQ4gpkMAAhDwkAAC7yFcr7Pu3LmzrF27Vvbt2+d1UeQPAQhAAAIBI4DAByxgsebWr19fOnbsKHPmzIndzGcIQAACEICAIPABvwjohw94ADEfAhCAgEcEsj3Kt1y2b731lnTq1El69epltn/wwQcyd+5c87lBgwby85//XDZt2iRvvPGG7N69WwYOHCj9+vUz+2fOnGmO1eNGjBgheXl5ZmDZrFmz5MCBAzJ8+HBp0aJFufLC9IV++DBFG18hAAEIxE/AU4Hfv3+/vPLKK7Jw4UJp165dmVU6xerVV18ttWrVkqysLLN92rRpct5550njxo3l6aeflm7duklxcbEsW7ZMrr32Wpk9e7bMmDFDBg8eLNOnT5frrrtOtmzZIlOnTpWxY8eW5R22Dyrw7777btjcxl8IQAACEDgCAU8FXmvjAwYMkPz8/DIzDh06ZGrphYWFoiui9e/f3+zbsWOH6OxsmrS2v3LlSjOArG/fvqKTumg+zz77rJncRY+rU6eOeemKalqTz87+lysbNmwwNwYmo+gfPU5vGmxL6m9OTo4cc8wxsnTpUtOy4dwsBdlX9Uuvi9q1awfZjcNsr1GjhujLuU4POyCgG/Qa1P9P2+Kl4YitgAQ0PIeZrbHS3wnidRga325I5nfdU4FXYdWXCpCTdu7cKfXq1TOv9evXG9EeNWpUuR8+FWW9Odi2bZu0atXKnKoXpLNN9zvJ2d6wYUOzacWKFfL55587u835559/vnUXtAZdhVAH2qloKEud+CboyRFA5z3o/sTa78QsdlvQP+tNi4qG8/8XdH9i7VffbBNCvQb1RbxiI+3vzxovt8lTga/MKL2wnCZ1XTDl22+/NY95lZSUlB2un/UmQP+5tJlfU2lpqREz7YN3tjnb69ata47RP8cdd5x5lW2IftCmftvWTtfahbZcaIuITln7ySeflGspifU/SJ+1tUdvXPTmzqbkCKFexzYl/d/Tl7ac2Zb0t8a2R1D1xrlly5by/fff2xYu04ppW7w0SM2aNXMdq7SPotfBdC+++KIxWAVKxbxRo0amOUxr6PrjvmrVKjNwrk2bNqI1ck3Lly83tXG9OPXZbz1ORVvfbaztGafj/MNI+jhBcRgEIACBEBFIew2+oKDA3PE/99xzsnHjRjnzzDNN3+SwYcPkhRdeMLVSFSwVfR05X1RUJFOmTBHtox8zZozZ5vTHa3O/nhf2pE3zr732Wtgx4D8EIAABCMQQyIrWgCMx39P2UZsqnWbL2EJ1uw7ciU1ay9cm6diktX89X19HSrY30S9atEhGjhxZbuzBkZj4dT9N9H6NTOV20URfORe/bnWa6FevXu1XE13bZWOXisLQJvrYcWeJADqyOiaSWwLHOqNvK55SUdx1f0Vx1216ocYj7nqs7al9+/ZmnIG2iJAgAAEIQAACSiBjAg/+1BHIzc0VJrxJHU9yggAEIGADAQTehihGfWBteEsCiRsQgAAEUkQAgU8RyExnw0j6TEeA8iEAAQj4iwAC7694uLaGGrxrdJwIAQhAwEoCCLwlYe3SpYuZ3te2iVQsCQ9uQAACEEg7AQQ+7ci9KbBJkybSvHlzmT9/vjcFkCsEIAABCASKAAIfqHBVbyz98NXzYS8EIACBMBFA4C2KNo/KWRRMXIEABCCQJAEEPkmAfjqdGryfooEtEIAABDJLAIHPLP+Ulq4j6RcvXpzSPMkMAhCAAASCSQCBD2bcKrW6devWZnlLXY2PBAEIQAAC4SaAwFsUf52bX9eGZyS9RUHFFQhAAAIuCSDwLsH59TT64f0aGeyCAAQgkF4CCHx6eXteGjPaeY6YAiAAAQgEggACH4gwxW8kNfj4WXEkBCAAAZsJIPCWRbdTp06ybt062bNnj2We4Q4EIAABCCRCAIFPhFYAjq1bt67ovPRz5swJgLWYCAEIQAACXhFA4L0im8F86YfPIHyKhgAEIOATAgi8TwKRSjPoh08lTfKCAAQgEEwCCHww41at1dTgq8XDTghAAAKhIIDAWxhm7YNftmyZHDp0yELvcAkCEIAABOIhgMDHQylgx7Rq1Urq1asnixYtCpjlmAsBCEAAAqkigMCniqTP8qEf3mcBwRwIQAACaSaAwKcZeLqKU4FnTvp00aYcCEAAAv4jgMD7LyYpsYgafEowkgkEIACBwBJA4AMbuuoNZ2346vmwFwIQgIDtBBB4SyPcvn172bJlixQXF1vqIW5BAAIQgEB1BBD46ugEeF9OTo7QDx/gAGI6BCAAgSQJIPBJAvTz6fTD+zk62AYBCEDAWwIIvLd8M5o7M9plFD+FQwACEMgoAQQ+o/i9LZwavLd8yR0CEICAnwkg8H6OTpK26ZS1K1eulJKSkiRz4nQIQAACEAgaAQQ+aBFLwN5GjRpJ69atZd68eQmcxaEQgAAEIGADAQTehihW4wP98NXAYRcEIAABiwkg8BYHV12jH97yAOMeBCAAgSoIIPBVgLFlMzV4WyKJHxCAAAQSI4DAJ8YrcEdrDX7JkiWBsxuDIQABCEAgOQIIfHL8fH+2rg1/8OBBWb58ue9txUAIQAACEEgdAQQ+dSx9mVNWVpb07t1bFixY4Ev7MAoCEIAABLwhgMB7w9VXuWozPWvD+yokGAMBCEDAcwIIvOeIM18AI+kzHwMsgAAEIJBuAgh8uolnoDxG0mcAOkVCAAIQyDABBD7DAUhH8Z06dZINGzbIrl270lEcZUAAAhCAgA8IIPA+CILXJtSuXVu6du0qc+bM8boo8ocABCAAAZ8QQOB9EgivzaAf3mvC5A8BCEDAXwQQeH/FwzNr6If3DC0ZQwACEPAlAQTel2FJvVHU4FPPlBwhAAEI+JkAAu/n6KTQNu2DX7p0qZnVLoXZkhUEIAABCPiUAALv08Ck2qxmzZpJfn6+LFy4MNVZkx8EIAABCPiQAALvw6B4ZRL98F6RJV8IQAAC/iOAwPsvJp5ZRD+8Z2jJGAIQgIDvCCDwvguJdwZRg/eOLTlDAAIQ8BsBBN5vEfHQHq3Bsza8h4DJGgIQgICPCCDwPgqG16a0a9dOduzYIevWrfO6KPKHAAQgAIEME0DgMxyAdBafnZ0t9MOnkzhlQQACEMgcAQQ+c+wzUrIKPGvDZwQ9hUIAAhBIKwEEPq24M18YNfjMxwALIAABCKSDAAKfDso+KoOR9D4KBqZAAAIQ8JAAAu8hXD9m3aVLF1m9erXs37/fj+ZhEwQgAAEIpIgAAp8ikEHJpkGDBqKj6QsLC4NiMnZCAAIQgIALAtkuzgnUKZFIRGrVqiX6blOqWbOm6MuNX71795bFixfLSSed5DskOtJffcrLy/OdbckYlJWVJfrSmNmUcnJyjE+2xUtjpNeibX7p9afXoW1+2RqvZH8rrBd4vZhLSkpk3759ybLy1fl603LgwAE5dOhQwnZ169ZN5syZ40smtWvXNgJvW7xq1KhhhLC0tDThePn5BBUMvRZti5cyVxG0zS/nBto2v2yNl/qlra5uE030bskF+DxG0gc4eJgOAQhAIE4CCHycoGw6TEfSaxM9CQIQgAAE7CWAwNsb2yo9a9mypemHW7p0aZXHsAMCEIAABIJNAIEPdvxcW68D7ZjRzjU+ToQABCDgewIIvO9D5I2B9MN7w5VcIQABCPiFAALvl0ik2Q5mtEszcIqDAAQgkGYCCHyagfulOGrwfokEdkAAAhDwhgAC7w1X3+faqVMn2bRpk1kf3vfGYiAEIAABCCRMAIFPGJkdJ+Tm5kr37t3NhDd2eIQXEIAABCAQSwCBj6URss/aTM9I+pAFHXchAIHQEEDgQxPqwx2lH/5wJmyBAAQgYAsBBN6WSLrwg5H0LqBxCgQgAIGAEEDgAxIoL8zs2rWrLF++3Cxa40X+5AkBCEAAApkjgMBnjn3GSy4oKBB9FRUVZdwWDIAABCAAgdQSQOBTyzNwudEPH7iQYTAEIACBuAgg8HFhsvcg+uHtjS2eQQAC4SaAwIc7/kINPuQXAO5DAALWEkDgrQ1tfI5pDX7RokXxHcxREIAABCAQGAIIfGBC5Y2h7dq1kz179siaNWu8KYBcIQABCEAgIwQQ+Ixg90+hNWrUkJ49ezKjnX9CgiUQgAAEUkIAgU8JxmBnQj98sOOH9RCAAAQqI4DAV0YlZNsYSR+ygOMuBCAQCgIIfCjCXL2T1OCr58NeCEAAAkEkgMAHMWoptrlLly6ydu1a2bt3b4pzJjsIQAACEMgUAQQ+U+R9VG69evWkQ4cOUlhY6COrMAUCEIAABJIhgMAnQ8+ic7WZnrXhLQoorkAAAqEngMCH/hL4FwD64bkQIAABCNhFAIG3K56uvWEkvWt0nAgBCEDAlwQQeF+GJf1GaQ1+yZIlEolE0l84JUIAAhCAQMoJIPApRxrMDJs1ayY5OTlG5IPpAVZDAAIQgEAsAQQ+lkbIP/fp00cWLFgQcgq4DwEIQMAOAgi8HXFMiRf0w6cEI5lAAAIQ8AUBBN4XYfCHEYyk90ccsAICEIBAKggg8KmgaEkeWoNfuHChJd7gBgQgAIFwE0Dgwx3/ct537NhRNm/eLBs3biy3nS8QgAAEIBA8Agh88GLmmcW1atWS7t27M6OdZ4TJGAIQgED6CCDw6WMdiJLohw9EmDASAhCAwBEJIPBHRBSuAxhJH6544y0EIGAvAQTe3ti68owavCtsnAQBCEDAdwQQeN+FJLMGdevWTVasWCElJSWZNYTSIQABCEAgKQIIfFL47Ds5Pz9fmjdvLkVFRfY5h0cQgAAEQkQAgQ9RsON1VZvpWRs+XlocBwEIQMCfBBB4f8Ylo1bRD59R/BQOAQhAICUEEPiUYLQrE0bS2xVPvIEABMJJAIEPZ9yr9Vpr8IsWLar2GHZCAAIQgIC/CSDw/o5PRqxr06aNlJaWyqpVqzJSPoVCAAIQgEDyBBD45Blal0NWVpb06tWLteGtiywOQQACYSKAwIcp2gn4Sj98ArA4FAIQgIAPCSDwPgyKH0xiJL0fooANEIAABNwTQODds7P6TGrwVocX5yAAgRAQQOBDEGQ3Lnbp0kXWr18vu3btcnM650AAAhCAQIYJIPAZDoBfi69Tp4506tRJCgsL/WoidkEAAhCAQDUEEPhq4IR9F/3wYb8C8B8CEAgyAQQ+yNHz2Hb64T0GTPYQgAAEPCSAwHsIN+hZU4MPegSxHwIQCDMBBD7M0T+C77o2/JIlS+TQoUNHOJLdEIAABCDgNwIIvN8i4iN7WrRoIfXr15fFixf7yCpMgQAEIACBeAgg8PFQCvEx2kzP2vAhvgBwHQIQCCwBBD6woUuP4fTDp4czpUAAAhBINQEEPtVELcuPkfSWBRR3IACB0BBA4EMTaneOag1+4cKF7k7mLAhAAAIQyBgBBD5j6INRcIcOHWT79u1SXFwcDIOxEgIQgAAEDIHsdHB46623zLSnusa4pgULFsisWbPkwIEDMnz4cNHR2ps2bZI33nhDdu/eLQMHDpR+/fqZY2fOnClz586VBg0ayIgRIyQvL6/S883B/Ek5gezsbNFmeo1Z8+bNU54/GUIAAhCAgDcEPK3B79+/X1588UX56quvjJirC/v27ZPp06fLFVdcIRdccIFMnTrVeDZt2jQZOnSojBo1St5//33Zs2ePLF++XJYtWybXXnutdOzYUWbMmFHl+d7gIVclQD881wEEIACB4BHwtAavtfEBAwZIfn5+GRlt6m3btq3oYib62rt3rxH/HTt2mO16oC5ysnLlSlm7dq307dtXatasafJ59tlnpU+fPpWerzVNTZ988ol8+OGH5rP+adeunVx55ZUSiUTKtvEhMQInnniizJ49W9q0aZPYiS6OrlHjX/ec9erVc3E2p6SbQFZWlugrHddGJnyz8XdD/8eIV7qvJvflHTx40PXJngp848aNRV9Lly4tM3Dbtm1G2J0NtWvXNs3zjkDrdhV+vTnQY1u1amUO1eOcbbrfSc72hg0bmk3HHHOMdO7c2dkttWrVMvloy4FNKScnRzTw6ZhlTm/Ivvnmm7T0w2tXjP6o7ty506Zwif6o6ku7pWxK+v+n/4+bN2+2yS3jS25urmgrpE1JK0tNmzZNy/9yurnZGC9lqBrqNnkq8JUZpX3osf80paWlpoZfUlJSdrh+1hqc/ng4x+pxOqtaZefXrVu37Fw9Rl+xSVsN9HybktaaVCzSIfB6w6QtKro2vP4TeZnUHxV42+Kl4q4/rrb5pTfQGjPb/NJr3MZ4OS0SxMvLX7HU5u3EzE2unvbBV2ZQy5YtTdO7Gq3N8/quoqE/FFpD1++rVq0yA++0GWnFihUmG+2P19p8ZefH1v4rK5NtyRHQWrWyZ0a75DhyNgQgAIF0Ekh7DV7FQvvltT9dm2GHDRtm/NX3F154wdRK9dnrRo0amZHzRUVFMmXKFNE++jFjxphtlZ2fTmhhLMuZ0U67QEgQgAAEIOB/AlnRGnNGRp9p87LTLxmLSZuOtH85NmmTvdbwY1NV58ce43zWJnptLbApKY90NdErt9/85jeyceNGuf/++z3FqAMy9ZLU8Rc2JVub6LV7TF8bNmywKVzGF+0OtG3sjrZ2aivo6tWriVdACDRr1qzcuLVEzE57E71jnF5o+qNXMVUUd91fUdx1W1Xn6z5S6gk4NfjU50yOEIAABCDgBYHDFdaLUsgz8AT0WfhFixYF3g8cgAAEIBAWAgh8WCKdpJ+tW7c2TefOoMcks+N0CEAAAhDwmAAC7zFgW7LXx/J0qmFG0tsSUfyAAARsJ4DA2x7hFPpHP3wKYZIVBCAAAY8JIPAeA7Ype+aktyma+AIBCNhOAIG3PcIp9I8afAphkhUEIAABjwkg8B4Dtil7nbJW5xTQSYdIEIAABCDgbwIIvL/j4yvrdOKPrl27yrx583xlF8ZAAAIQgMDhBBD4w5mwpRoC9MNXA4ddEIAABHxEAIH3UTCCYAr98EGIEjZCAAIQEEHguQoSIkANPiFcHAwBCEAgYwQQ+IyhD2bB3bt3l6VLl5qFboLpAVZDAAIQCAcBBD4ccU6Zl02bNjVL+TIvfcqQkhEEIAABTwgg8J5gtTtT+uHtji/eQQACdhBA4O2IY1q9oB8+rbgpDAIQgIArAgi8K2zhPokafLjjj/cQgEAwCCDwwYiTr6zUGvzChQt9ZRPGQAACEIBAeQIIfHkefIuDQIcOHWTXrl2yfv36OI7mEAhAAAIQyAQB1wK/YsUKY6+uDz5p0iQpLCzMhP2UmQECNWvWFG2mZ234DMCnSAhAAAJxEnAl8OPGjZORI0fK/v375fTTT5fPPvtMzjnnHFm9enWcxXJY0AnQDx/0CGI/BCBgOwFXAv/KK6/I9OnT5aOPPpL8/Hx588035bLLLpMPP/zQdl74928CjKTnUoAABCDgbwIJC3wkEjGzmNWrV0/eeustueiii4yHJSUlUr9+fX97i3UpI0ANPmUoyQgCEICAJwQSFvisrCw5/vjj5bzzzpOpU6fKpZdeKs8//7y8+OKLcsYZZ3hiJJn6j4AuG7tq1SrZu3ev/4zDIghAAAIQcLfYzMsvvywXX3yxaZLv2bOntGrVSr799lvTXA/TcBDQ1pp27drJggULwuEwXkIAAhAIGIFsN/bWqVPHDLJzzv3Rj37kfOQ9RAScfvj+/fuHyGtchQAEIBAMAgk30atbs2fPltNOO030B15XF3Ne7733XjC8xsqUEKAfPiUYyQQCEICAJwRc1eD1EbmrrrpKBg0aJNnZ/8miS5cunhhJpv4koDd4+iQFCQIQgAAE/EfgP+ocp206in7Hjh1y2223iQ64I4WXgNbgddlYvSa4FsJ7HeA5BCDgTwIJN9HrD/nQoUPlD3/4g+ijcaTwEmjZsqXorHbLli0LLwQ8hwAEIOBTAgkLvPqxc+dOGTVqlDRp0kR69OhR9qIP3qdR9tCsXr16MZLeQ75kDQEIQMAtgYSb6LWgiRMnyp133nlYmW3atDlsGxvsJuCMpD/33HPtdhTvIAABCASMgCuB37RpkxH5rVu3mv7XgwcPypYtW+R//ud/yma2CxgHzHVJQPvh3377bZdncxoEIAABCHhFwFUT/TXXXCNDhgyR3r17y09/+lPR7x2iS4hecMEFXtlJvj4l4NTgfWoeZkEAAhAILYGEBV5HTG/fvt000etgOx1o98tf/tJMU0sffPiuo86dO8vmzZtl27Zt4XMejyEAAQj4mEDCAq+j6OvWrWtEvm/fvmbSG/WvcePGZm5yH/uKaR4QyM3NlW7duklhYaEHuZMlBCAAAQi4JeCqD/7qq6+WPn36mMejVqxYIZdccol8/PHH8uWXX7q1g/MCTMCZ0e7kk08OsBeYDgEIQMAuAgnX4NX9W265xQys0lnsdCYz7YvX9eG1uZYUPgL0w4cv5ngMAQj4n4CrGry6pc8/L1++3PTB33HHHVKjhqt7Bf8TwsIjEtAa/KuvvnrE4zgAAhCAAATSR8CVKi9evFiOOeYY0TXBjzvuONGlQ6dMmZI+qynJVwR0saGlS5dKaWmpr+zCGAhAAAJhJuBK4EePHi3nnXeeFBcXm+ffP/jgA/Nc/Pz588PMMrS+6wDLpk2bmnnpQwsBxyEAAQj4jIArgVchHz9+vJmqVuciP+mkk+TKK6+UTz/91GfuYU66CNAPny7SlAMBCEAgPgKuBF773//xj3+UK+GTTz6RgoKCctv4Eh4Czkj68HiMpxCAAAT8TcCVwOvMdYMHD5Zhw4bJ9ddfb56D3r9/v/z4xz/2t7dY5xkBavCeoSVjCEAAAq4IuBL4iy++2Dwe94Mf/EBq1apl1oafPXu25OTkuDKCk4JPQGvwRUVFwXcEDyAAAQhYQsD1Y3IDBgwQfTlJ++WbNWtGM70DJGTv7dq1E23FWbNmjbCqYMiCj7sQgIAvCbiqwVfmyV133SUzZ86sbBfbQkBA50GgHz4EgcZFCEAgMARSJvCB8RhDPSNAP7xnaMkYAhCAQMIEEPiEkXFCVQSowVdFhu0QgAAE0k8gboHXZWIPHDhQ5Uv3k8JNgBp8uOOP9xCAgL8IxC3ws2bNMqPkdaR8Za833njDX55hTdoJ6LKxa9euld27d6e9bAqEAAQgAIHyBOIeRX/w4EGZNGmSWRpWl4U9/vjjy+cU/cZEN4chCdWGunXrSocOHUSfqNBHKEkQgAAEIJA5AnHX4Ldt2yZ/+9vfRIV+woQJkpube9hLp60lhZsA/fDhjj/eQwAC/iEQt8CfeeaZxup+/frJwoULpVOnToe93nnnHf94hiUZIUA/fEawUygEIACBwwjE3UTfqFEj0X54TUOGDBFdQY4EgYoEtAb//vvvV9zMdwhAAAIQSDOBuAXesWv58uVmHnqdrlbX/z7xxBPNnPQ9evRwDuE9xAS0Br9o0SI5dOiQ6OQ3JAhAAAIQyAyBhH6Bv/nmGzO47rPPPpNjjjlGBg0aJPPmzTMir6vJkSDQvHlzycvLk2XLlgEDAhCAAAQySCDuGrw+537uuefKb37zGxkxYkQ5kz///HM555xzzCNSderUKbePL+Ej0LNnTzOSvkuXLuFzHo8hAAEI+IRA3DV4Xf9dFxGpKO7qhzbTn3XWWaI1exIEGEnPNQABCEAg8wTiFvgFCxaI1syqSq1bt6ZZtio4IdvOSPqQBRx3IQABXxKIu4lea2UTJ040U9VmZ5c/TZvvP/30Uxk1apTvnFTb1F5dt96mpHMOZGVliR+nCO7bt6889NBDrpirX+qTbfHSWOmgQ323KWm81C/b4qUxUt9s88v53bDNL1vjlexvRXmlriY3/dFu3769jB49Wp544glp2LChOXrPnj1y6623mn8Gv46k1xHdOo++TUmFQn3yo8DrdaITIxUXF0uTJk0Swq6xUp9si5eKoI1+2RovvWhVDG27DtUvG69Dm+OlvrlNcQu8CspLL70kY8aMkRYtWkjHjh3NaGl9JOrUU0+VGTNmuLXB0/PUbv0R0pdNSf9J9eVHv/SHUeelnzt3rrk2EuHuZ78S8aOyY51rsbJ9Qd1mc7z8+v+VzLXi/F4478nk5bdzbYxXsozjFngtSB+B0kVlioqKzChpnbb2hBNOMIPvkjWE8+0i4PTD680fCQIQgAAE0k8gIYF3zNOmeK3Fq9CvXr3avHRf9+7dpXHjxs5hvIeYgI7Z0CcvSBCAAAQgkBkCrgR+/PjxMnnyZFOj1+ZYJz322GNmGlvnO+/hJaA1+D//+c/hBYDnEIAABDJMwJXAP//882Y60kQHUGXYV4pPIwFt5dFpjffv329WHUxj0RQFAQhAAAJRAnE/Bx9Lq2XLlrJr167YTXyGQDkCujiRduPoyoMkCEAAAhBIPwFXNfinn35afvjDH8qPfvQjKSgoKLP68ssvlz59+pR950O4CTgz2nFNhPs6wHsIQCAzBFwJ/I033mhmtWvVqlW5FcNi++Mz4w6l+omAM5LeTzZhCwQgAIGwEHAl8IsXLzYLy9g4G1JYAp8OP7UGr+M1SBCAAAQgkH4CrvrgzzjjDPnwww/Tby0lBoqA1uD1UUoSBCAAAQikn4Argd+3b59ZHlb733W0tPN677330u8BJfqWQNu2bUUnQ9K5EkgQgAAEIJBeAq6a6HXRmTvvvPMwS1n/+zAkod6gU7NqM/38+fNFxZ4EAQhAAALpI+BK4HXhGRIE4iHgjKQfOnRoPIdzDAQgAAEIpIiAK4E/66yz5Pvvvz/MhEceeUQGDx582HY2hJeA9sN//PHH4QWA5xCAAAQyRMCVwGsTfUlJiTFZ3wsLC2XatGkyYMCADLlBsX4loDV4nTeBBAEIQAAC6SXgSuB1kpvYpKPq16xZIx999JFcfPHFsbv4HHICumzs+vXrZefOnVK/fv2Q08B9CEAAAukj4GoUfUXzdB3elStXyvbt2yvu4nvICeTl5UmnTp3MQLuQo8B9CEAAAmkl4KoGr/3sxcXFxlAV982bN0tOTo5ZYS6t1lNYIAg4M9pVbPkJhPEYCQEIQCCgBFwJ/EMPPWRWCXN8rl27tvTq1UuY2c4hwnssAWckfew2PkMAAhCAgLcEXAk8g+m8DYptuWsN/u2337bNLfyBAAQg4GsCcQu8jpQfP358tc6MGzdOTjzxxGqPYWf4CGgNXtcv0FntWJAofPHHYwhAIDME4hb4xo0by5AhQw6zUkdHT5o0SQ4cOCB33XXXYfvZAIGmTZuaEfRLliyR7t27AwQCEIAABNJAIG6B16Vhr7766nIm6YIzo0aNkuOOO05+97vfSevWrcvt5wsEHAI9e/aUBQsWIPAOEN4hAAEIeEzA1WNyu3btkmuuuUaGDx8uEyZMkL/97W+Iu8eBCnr2zkj6oPuB/RCAAASCQiBhgddpR3v37m2ee9d++ZEjRwbFV+zMIAFG0mcQPkVDAAKhJBC3wO/Zs0d+8YtfyIUXXmj62rXWrs32+hy88wolQZyOi4DW4LWJngQBCEAAAukhELfAf/XVV/LMM8+Y2eq0371GjRqHvV599dX0WE0pgSPQsWNHM13thg0bAmc7BkMAAhAIIoG4B9mdfPLJcqQf5wYNGgSRATangUB2drYZYKdrwzdr1iwNJVIEBCAAgXATiFvgdSpafdyJBAG3BJx++EGDBrnNgvMgAAEIQCBOAnE30ceZH4dBoEoCjKSvEg07IAABCKScAAKfcqRkWBUBrcFrEz0JAhCAAAS8J4DAe8+YEv5NQGex02WF9+3bBxMIQAACEPCYAALvMWCy/w8BHYSpj1YWFRX9ZyOfIAABCEDAEwIIvCdYybQqAvTDV0WG7RCAAARSSwCBTy1PcjsCAWck/REOYzcEIAABCCRJAIFPEiCnJ0aAGnxivDgaAhCAgFsCCLxbcpznioDW4BcuXGimN3aVASdBAAIQgEBcBBD4uDBxUKoItGnTxkxxrKPpSRCAAAQg4B0BBN47tuRcBQH64asAw2YIQAACKSSAwKcQJlnFR4B++Pg4cRQEIACBZAgg8MnQ41xXBKjBu8LGSRCAAAQSIoDAJ4SLg1NBgBp8KiiSBwQgAIHqCSDw1fNhrwcEunbtapYe3r59uwe5kyUEIAABCCgBBJ7rIO0EcnNzpXPnziw8k3byFAgBCISJAAIfpmj7yFf64X0UDEyBAASsJIDAWxlW/ztFP7z/Y4SFEIBAsAkg8MGOX2Ct1xo8a8MHNnwYDgEIBIAAAh+AINloYo8ePWTJkiVSWlpqo3v4BAEIQCDjBBD4jIcgnAYUFBRIfn6+EflwEsBrCEAAAt4SQOC95Uvu1RCgH74aOOyCAAQgkCQBBD5JgJzungAj6d2z40wIQAACRyKAwB+JEPs9I0AN3jO0ZAwBCECAiW64BjJHgBp85thTMgQgYD8BavD2x9i3Hnbs2FH27t0r69ev962NGAYBCEAgqAQQ+KBGzgK7a9SoIdpMv2DBAgu8wQUIQAAC/iKAwPsrHqGzhn740IUchyEAgTQRQODTBJpiKidAP3zlXNgKAQhAIFkCCHyyBDk/KQLU4JPCx8kQgAAEqiSAwFeJhh3pIKBT1q5atUr27NmTjuIoAwIQgEBoCCDwoQm1Px2tW7eutG3bVoqKivxpIFZBAAIQCCgBBD6ggbPJbPrhbYomvkAAAn4hgMD7JRIhtoN++BAHH9chAAHPCGR7lnM1GX/wwQcyd+5cc0SDBg3k5z//uWzatEneeOMN2b17twwcOFD69etn9s+cOdMcq8eNGDFC8vLyzHPTs2bNkgMHDsjw4cOlRYsW1ZTGLr8T0Br8xx9/7HczsQ8CEIBAoAhkRODnzZsnV199tdSqVUuysrIMsGnTpsl5550njRs3lqefflq6desmxcXFsmzZMrn22mtl9uzZMmPGDBk8eLBMnz5drrvuOtmyZYtMnTpVxo4dGyjoGFuegNbgFy5cKIcOHSq/g28QgAAEIOCaQNoFXn/EtZZeWFgokUhE+vfvb4zfsWOHGWylXzp16iQrV66UtWvXSt++faVmzZoyYMAAefbZZ6VPnz7muDp16oi+dKpTrclnZ//LlRUrVsjSpUvLgDRs2FC6d+8uOTk5Zdts+KBMlKUyDHrS1pnc3FzTitOyZUvjjm6zKemNrM7cd/DgQZvcMjfp+r9nW7w0SOqXVkJsSnoN6rVIvIITVY2Z25R2gd+5c6fUq1fPvHQOchXtUaNGlQm0OqLCrTcB27Ztk1atWhnfateuXbZN9zvJ2a5CrknP05q/k1QEVQxtSxp0FXcbBF5j07t3b9P1ol0z6pNtN2T6o+qIvE3Xov5v6bVoW7w0Ruqbxsym5FyHxMumqFbtS9oFXoXYaVLv2bOnfPvtt7Jv3z4pKSkps1I/602Aivf+/fvN9tLSUqlfv77pg3e26Q7dro9aOUnz1FdsUsHXmr5NSWsW2nJhS7N2165d5euvv5bzzz/fCLze3NmUVARVMPR6tSnp/56+Nm/ebJNbxhcd76O/TTYlbZXQ31XiFZyoNmvWzLWx7uv+LovUwXQvvviiOVsFSsW8UaNGpilMa99ae9OJT3TgXJs2bUSb3DUtX77c1Oa1CVeb7vU4FW19d5rnzYH8CSQBRtIHMmwYDQEI+JhA2mvwBQUF5o7/ueeek40bN8qZZ55pmviGDRsmL7zwgqmV6qhqFX3tJ9IJUKZMmSLaRz9mzBizzemP1+Z+PY8UfAIa80cffTT4juABBCAAAZ8QyIrWgDMySkubKp1my1gWur1i/5DW8isOdtHav56vryMlmuiPRCjz+zXG2rWio+n1SQqa6DMfk3gscJroN2zYEM/hgTrG1iZ6bQVdvXp1oGIRj7E2xkv91ib62HFn8bBwjjmyOjpHpvhdRbyywW8VxV2LrSjuuk2b5eMRdz2W5H8CGmPth3fmR/C/xVgIAQhAwN8EMibw/saCdZkgoP3wCHwmyFMmBCBgIwEE3saoBtQn7YfX+RFIEIAABCCQPAEEPnmG5JAiAtTgUwSSbCAAAQhECSDwXAa+IaACv2jRonJzIvjGOAyBAAQgEDACCHzAAmazufn5+WbEKGvD2xxlfIMABNJFAIFPF2nKiYtAr1696IePixQHQQACEKieAAJfPR/2ppmALhWsMx3aMgVvmvFRHAQgAIEyAgh8GQo++IHA6NGjZdeuXWZWQz/Ygw0QgAAEgkoAgQ9q5Cy1Wyc6mjx5sjz55JNmTQJL3cQtCEAAAp4TQOA9R0wBiRLo27evXHHFFXLLLbeYxYQSPZ/jIQABCECAx+S4BnxK4PrrrzdLWr700ks+tRCzIAABCPibADV4f8cntNbp3PSPPPKIWWFuzZo1oeWA4xCAAATcEkDg3ZLjPM8J9OvXTy677DK57bbbPC+LAiAAAQjYRgCBty2ilvkzduxYWb9+vfz5z3+2zDPcgQAEIOAtAQTeW77kniSB3NxcmTRpkvz61782Qp9kdpwOAQhAIDQEEPjQhDq4jh577LHyk5/8hKb64IYQyyEAgQwQQOAzAJ0iEycwbtw4Wblypbz66quJn8wZEIAABEJIAIEPYdCD6HJeXp48/PDD8sADD0hxcXEQXcBmCEAAAmklgMCnFTeFJUPghz/8oZx//vly5513JpMN50IAAhAIBQEEPhRhtsdJnd1u4cKF8tprr9njFJ5AAAIQ8IAAAu8BVLL0jkCdOnVMU/19990nGzdu9K4gcoYABCAQcAIIfMADGEbzTzzxRDnnnHPkrrvuCqP7+AwBCEAgLgIIfFyYOMhvBHR2u8LCQpk+fbrfTMMeCEAAAr4ggMD7IgwYkSiBevXqyUMPPSQTJkwwi9Ikej7HQwACELCdAAJve4Qt9u/UU0+VwYMHy/jx4y32EtcgAAEIuCOAwLvjxlk+IXDHHXfIN998I++9955PLMIMCEAAAv4ggMD7Iw5Y4ZJAgwYNTFP93XffLdu2bXOZC6dBAAIQsI8AAm9fTEPn0WmnnSYDBw6Ue+65J3S+4zAEIACBqggg8FWRYXugCGgN/osvvpAPP/wwUHZjLAQgAAGvCCDwXpEl37QSaNiwodx///1mGtsdO3aktWwKgwAEIOBHAgi8H6OCTa4IDBkyRI4//ni59957XZ3PSRCAAARsIoDA2xRNfDHPxc+aNUv0RYIABCAQZgIIfJijb6Hv+fn5pgZ/++23y86dOy30EJcgAAEIxEcAgY+PE0cFiMDZZ58t/fv3N2vHB8hsTIUABCCQUgIIfEpxkplfCEycOFE++OADmT17tl9Mwg4IQAACaSWAwKcVN4Wli0BBQYGoyOuiNLt3705XsZQDAQhAwDcEEHjfhAJDUk3gvPPOk6OPPloefPDBVGdNfhCAAAR8TwCB932IMDAZAg888IC888478uWXXyaTDedCAAIQCBwBBD5wIcPgRAg0bdrUrDZ3yy23yN69exM5lWMhAAEIBJoAAh/o8GF8PAQuuOAC6dKlizz88MPxHM4xEIAABKwggMBbEUacOBIB7Yd//fXX5e9///uRDmU/BCAAASsIIPBWhBEnjkSgRYsWctddd4k21e/bt+9Ih7MfAhCAQOAJIPCBDyEOxEtg+PDh0q5dO3n00UfjPYXjIAABCASWAAIf2NBhuBsC2lQ/bdo0+e6779yczjkQgAAEAkMAgQ9MqDA0FQRat25tJr8ZN26c7N+/PxVZkgcEIAABXxJA4H0ZFozyksCll14qzZs3lyeffNLLYsgbAhCAQEYJIPAZxU/hmSCQlZUlkyZNkpdfflnmzJmTCRMoEwIQgIDnBBB4zxFTgB8JtGnTRrSZ/uabb5aSkhI/mohNEIAABJIigMAnhY+Tg0zg8ssvl0aNGslTTz0VZDewHQIQgEClBBD4SrGwMQwEtKleZ7d74YUXZN68eWFwGR8hAIEQEUDgQxRsXD2cQIcOHeSGG24wTfWlpaWHH8AWCEAAAgElgMAHNHCYnToCI0eOlNq1a8vkyZNTlyk5QQACEMgwAQQ+wwGg+MwTqFGjhhlV//zzz0tRUVHmDcICCEAAAikggMCnACJZBJ9A586d5frrrzdN9QcOHAi+Q3gAAQiEngACH/pLAAAOgauuukpq1qwpU6ZMcTbxDgEIQCCwBBD4wIYOw1NNQMX9kUcekWeffVYWL16c6uzJDwIQgEBaCSDwacVNYX4n0LVrV7nmmmvMsrIHDx70u7nYBwEIQKBKAgh8lWjYEVYCo0ePFn1k7rnnngsrAvyGAAQsIIDAWxBEXEgtgezsbLNm/NNPPy3Lli1LbebkBgEIQCBNBBD4NIGmmGAR6NGjh4waNco01R86dChYxmMtBCAAgSiBrEg02UxC3du2bZt1a3/rgDAVHtvCV79+fePTrl27Mn5ZajP9WWedJZdccolos30ySafF1ZdtNwt5eXlmkqCtW7cmg8eX52pLjm2PTOrvRpMmTWTDhg2+ZJ6MUTbGS3k0aNBA6tSp4wpNtquzAnSS/qjqamH79u0LkNVHNrVWrVrmx8c2wdAZ5fSmxS/x0mVldf34gQMHSvv27Y8cmCqO0Ml09MfVtulw1Se9Fv0Sryrwu9qsNy+2+aUi6Kf/L1eBqeIkG+OlrqrAu0000bslx3mhINCzZ0+54oor5NZbb7WutSQUAcRJCISYAAIf4uDjenwEdIa7LVu2yEsvvRTfCRwFAQhAwAcEEHgfBAET/E1Am6B1ApxHH31U1qxZ429jsQ4CEIDAvwkg8FwKEIiDQN++feWyyy4zTfVxHM4hEIAABDJOAIHPeAgwICgExo4dK99//728/PLLQTEZOyEAgRATQOBDHHxcT4xAbm6uaap/+OGHZd26dYmdzNEQgAAE0kwAgU8zcIoLNoH+/fub5+Jvv/32YDuC9RCAgPUEEHjrQ4yDqSZw0003yapVq2TatGmpzpr8IAABCKSMAAKfMpRkFBYCOqGGNtM/8MADUlxcHBa38RMCEAgYAQQ+YAHDXH8QOO644+TCCy+UO+64wx8GYQUEIACBCgQQ+ApA+AqBeAncfPPNsnjxYnnttdfiPYXjIAABCKSNAAKfNtQUZBsBXQBCm+rvu+8+2bhxo23u4Q8EIBBwAgh8wAOI+ZklcMIJJ8g555wjd955Z2YNoXQIQAACFQgg8BWA8BUCiRLQR+bmz58v06dPT/RUjocABCDgGQEE3jO0ZBwWAnXr1pWHHnpIJkyYIJs3bw6L2/gJAQj4nAAC7/MAYV4wCJxyyikyePBgGT9+fDAMxkoIQMB6Agi89SHGwXQR0H74b7/9Vt599910FUk5EIAABKokgMBXiYYdEEiMQP369U1Tvdbit27dmtjJHA0BCEAgxQQQ+BQDJbtwExg0aJAMHDjQ9MeHmwTeQwACmSaAwGc6ApRvHYG7775bvvjiC5kxY4Z1vuEQBCAQHAIIfHBihaUBIdCwYUMzT732yW/fvj0gVmMmBCBgGwEE3raI4o8vCOiIep0E59577/WFPRgBAQiEjwACH76Y43GaCOhz8Z988onMnDkzTSVSDAQgAIH/EEDg/8OCTxBIKYH8/HwzT72uOLdjx46U5k1mEIAABI5EAIE/EiH2QyAJAmeddZYce+yxcv/99yeRC6dCAAIQSJwAAp84M86AQEIEJk6caEbUv//++wmdx8EQgAAEkiGAwCdDj3MhEAeBJk2ayCOPPCI33XSTXHXVVTJ37tw4zuIQCEAAAskRQOCT48fZEIiLwJlnnmmeje/Tp4/87Gc/k9GjR8u8efPiOpeDIAABCLghgMC7ocY5EHBBQKey/dWvfiWffvqpHH300XLppZfKmDFjzFKzLrLjFAhAAALVEkDgq8XDTgiknkCDBg1k7NixMnv2bOnevbuMGDFCrrnmGikqKkp9YeQIAQiElgACH9rQ43imCajQ33jjjaZG37lzZ/nJT34i1157rSxatCjTplE+BCBgAQEE3oIg4kKwCejUtuPGjTOT4rRv314uuugiuf7662XJkiXBdgzrIQCBjBJA4DOKn8Ih8B8CjRo1kltuucUIfZs2beSCCy4wffZLly79z0F8ggAEIBAnAQQ+TlAcBoF0EdAZ8G699VaZNWuWtGjRQoYNGyY33HCDLFu2LF0mUA4EIGABAQTegiDigp0E9Pn522+/3Qh9QUGB/PjHPzbP0q9YscJOh/EKAhBIKQEEPqU4yQwCqSeg4q5Lz+qiNdpff+6555o++5UrV6a+MHKEAASsIYDAWxNKHLGdQNOmTWX8+PFG6PWZ+rPPPtv02a9evdp21/EPAhBwQQCBdwGNUyCQSQIq9Pfcc498/PHHUrt2bdEFbW677TZZs2ZNJs2ibAhAwGcEEHifBQRzIBAvgebNm4suZPPRRx9JTk6ODB06VHRp2rVr18abBcdBAAIWE0DgLQ4uroWDgI60v++++8yKdVlZWTJkyBDTZ79u3bpwAMBLCECgUgIIfKVY2AiB4BFo1aqVPPDAA/LBBx9IJBKRwYMHmz7777//PnjOYDEEIJA0AQQ+aYRkAAF/EWjdurU8+OCDouvPl5SUyBlnnCETJkyQ4uJifxmKNRCAgKcEEHhP8ZI5BDJHQGfD+/Wvfy3vvfee7NmzR04//XS59957ZcOGDZkzipIhAIG0EUDg04aagiCQGQJt27aVSZMmyTvvvCM7duwwQq999hs3bsyMQZQKAQikhQACnxbMFAKBzBPQhWweffRRefvtt2Xr1q1y2mmnmT77TZs2Zd44LIAABFJOAIFPOVIyhIC/CXTo0EEef/xxeeutt0wtftCgQfLQQw/J5s2b/W041kEAAgkRQOATwsXBELCHQKdOneTJJ5+UN998U9avXy8q9A8//LCp3dvjJZ5AILwEEPjwxh7PIWAIdO7cWX7729/K66+/bmbDO/XUU02f/bZt2yAEAQgEmAACH+DgYToEUkmgS5cu8tRTT8lf//pX0YVsVOgfe+wx2b59eyqLIS8IQCBNBBD4NIGmGAgEhUC3bt1k8uTJMm3aNFmyZImccsop8sQTT5gR+EHxATshAAERBJ6rAAIQqJRAjx495JlnnpGpU6dKUVGRnHzyyabPXh+1I0EAAv4ngMD7P0ZYCIGMEjj66KNlypQp8pe//EXmzZtnavTaZ79z586M2kXhEIBA9QQQ+Or5sBcCEPg3gZ49e8rvf/97efnll+Wf//xnWdM9ffRcIhDwJ4Fsf5qFVRCAgF8J9OrVS55//nmZM2eOGX2vU+Lq/Pf62J2+dFS+vvR5e13pjgQBCGSGAAKfGe6UCoHAE+jTp49ptj906JB89dVXsmzZMvP6/PPP5U9/+pMsX75catasacQ+Vvz1s4p/7dq1A88AByDgZwIIvJ+jg20QCACB+vXri4q9vmKTLlm7du1aI/pLly41786NgK5sp8vbOjV+5wZA37XWr+vakyAAgeQIIPDJ8eNsCECgCgIq0tp8ry99pj426ep2To1f37/++mszWl9r/ZpiBV+b+/V7x44dpU6dOrHZ8BkCEKiGAAJfDRx2QQAC3hBQoda+fH3FJq3167S5seL/6quvirYA6Hat3ceKv37WGwBtDaDWH0uSzxAQQeC5CiAAAd8QUJFWsdaXPncfm/bt21dO+L/77jsz657W+g8cOFBO+GNr/fXq1YvNhs8QCA0BBD40ocZRCASbQF5enugz+fqqmLRP36n1a23/tddeM9/XrVsnBQUFZeKvwu+Iv478r1GDJ4UrsuS7PQQQeHtiiScQCC2B5s2bi75OOOGEcgz2798vK1asME38egNQWFholsnVz7qvQ3Q0vyP4sU3/DRo0KJcPXyAQRAKBFPgFCxbIrFmzTLPc8OHDedY2iFceNkMgDQRyc3Ole/fu5lWxuI0bN5YJvwr+22+/bWr9q1evlsaNG0u7du3Mo3zachD70sf7nO/6WcvQ78525123O5+d/bqNsQIVI8F3rwgETuC1H2769Oly3XXXyZYtW8zI27Fjx3rFh3whAAFLCTRt2lT0dfzxx5fzsKSkxKymt2HDBrOSnv7m7N2719T4nc/6vnXrVtF3bQnQ/fo5dr/z3XnX+QI0OTcEjug7NwvOe+xNgbMt9ljd7+QRe6yzPXabzkNACi+BwAm89rW1bdvWPC6jI3H1H0sH2GRn/8sV/Sc6ePBgWUTpYytDwQcIQCAOArVq1ZKuXbtK7969jWDHcUpch+iNgyP2zo1AxZsDZ7vzrvv18+bNm8vOrexmw7nBcPLT30RNOTk5pnXBaU1Q8ddBh/o7qb+N+tKbAG1V0PeqPsceW9lnJ5/K9lWVZ+z2qs5zth8pf92vN0GlpaXGF/XHaSmJfXe2O+/KqLLPVW2LPV6Pqfi94rbK9sceU9V+5xjdr61JblPgBH7btm3lnoXVC3b37t3SsGFDw2DGjBmmqc0Bos/O3njjjc5X3gNCoFGjRgGxFDOVQIdoXzbJPwS0kqNzDajw6yv2s37X/fpyKkSxnyvblor9eoMTm09Vn5MpXx+zrOylkalsu7PNj/udq+mPf/yjjBw50vma0HvgBF7v0vQu1Ul6x1a3bl3nqwwePFhOP/30su96J6RNbXpR25T0zlzv0vUCtSnl5+ebHx3bFjDR61BrLE7NypaYaSua1gj1f8y2pLXe2N+aIPuncdKXtnTqXAJr1qwJsjuV2m5TvBwH9fe9WbNmzteE3wMn8C1btpR33nnHCJs2XSkAp3levXeadGJJxN6lxW634bNtAu/447zbECP1aL22YAAADKdJREFUwWlys80v9U19stEvxzd9tyU5cXLebfHL8cNWvxz/En0PnMDr4ysDBgyQZ5991qxHPWzYsER95ngIQAACEICA9QQCJ/AakVNOOcU871pZbd36iOEgBCAAAQhAIA4CgRR49Su2WT4OPzkEAhCAAAQgECoCzNMYqnDjLAQgAAEIhIUAAh+WSOMnBCAAAQiEigACH6pw4ywEIAABCISFAAIflkjjJwQgAAEIhIoAAh+qcOMsBCAAAQiEhQACH5ZI4ycEIAABCISKAAIfqnDjLAQgAAEIhIUAAh+WSOMnBCAAAQiEigACH6pw4ywEIAABCISFAAIflkjjJwQgAAEIhIoAAh+qcOMsBCAAAQiEhQACH5ZI4ycEIAABCISKAAIfqnDjLAQgAAEIhIUAAh+WSOMnBCAAAQiEigACH6pw4ywEIAABCISFQFYkmmx2dvLkyTJo0CDp2bOnzW5a49v06dOlVq1aMnToUGt8stmRf/zjH/J///d/MmrUKJvdtMa3TZs2yVNPPSUTJ060xifbHRk/fryMHTtWGjdunLCr2QmfEbATSktL5dChQwGzOrzmarxq1KBhKShXwMGDB6WkpCQo5obeTq3P7du3L/QcggRA4+VWw/glDVKksRUCEIAABCAQJwEEPk5QHAYBCEAAAhAIEgHr++CXLVsmBQUF0qBBgyDFJbS2rl+/3jTRN2/ePLQMguT49u3bZevWrdKhQ4cgmR1aW7U7ZenSpXLUUUeFlkHQHF+wYIF07tzZjE1K1HbrBT5RIBwPAQhAAAIQsIEATfQ2RBEfIAABCEAAAhUIIPAVgPAVAhCAAAQgYAMBqx+TmzlzpsydO9f0v48YMULy8vJsiJm1PnzzzTfy7bffSs2aNeXUU0+VLl26WOurTY69//77Ur9+fTnxxBNtcss6X3bu3CmffvqprFq1So4++mjzP2adkxY5tH//fnnzzTdly5Yt0qlTJxkyZEjC3llbg1++fLnoALtrr71WOnbsKDNmzEgYDiekj8Du3btl1qxZcuWVV8oll1wir732mlg+B1P64HpYkv6fqWjwbLWHkFOU9SuvvCI9evSQ0aNHm9/GXbt2pShnsvGCwFdffWUGiF999dWydu1aWbFiRcLFWCvwOlK0b9++pjY4YMAAWbRoUcJwOCF9BHT2Ov3hyc7ONi8dnY3Ap4+/m5K0hvHuu+/KGWec4eZ0zkkjAZ0opbi4WHJyckwr2U9/+lOpV69eGi2gqEQJ1K5d2wj7hg0bZMeOHeZ3MdE8rBX4bdu2SZ06dQwPBaU1RJJ/CegPjzbzHjhwQF566SXTHMWMdv6Nl1qmrSxnn322q8d3/O2ZfdZp87zTRK8198cee0x0FkKSfwm0b9/eCPzUqVNNRbVJkyYJG2ttH7yKutYwNOn0pyoeJH8T0Gd0//CHP0i3bt1k4MCB/jY25NYtXLhQVq9eLa1btzbNvXpjpv26LVq0CDkZf7qvLWTaIqbdXzrGRWuFGkONGcmfBPQGWseO6RwTn3zyiXz88cdyzjnnJGSstTX4Nm3alPVZaD9hq1atEgLDwekloE2Iv//97+XYY4+V008/Pb2FU1rCBLQ2oXHSVjIVD22B0e4Vkj8JaIVHJ/tyxkpoFxiDjv0ZK8eq3Nxc0bhpcv7HnH3xvls70Y0KxquvviraVK/9F2PGjGE2u3ivigwcp6Pn//SnP0mzZs3KSv/lL39Z1s1StpEPviPw2WefmdYybsx8F5pyBi1ZskS++OIL0Sb6Ro0amdphVlZWuWP44h8Ca9asEX1CRVtctDtFW18SHTdhrcA7YdJmX737IUEAAhCAgJjV//hNDM6VkIyGWS/wwQkjlkIAAhCAAARSR8DaPvjUISInCEAAAhCAQPAIIPDBixkWW0BAHwXUQU/60sE02mTqfP/d735XrYfaL6cjao+UdGCpjpTWmbC0r9XJX/tfdfKnRx999EhZpHW/zrCmdvL4VlqxU5jFBBj2anFwcc2/BC6//HLRl6Ybb7zR9Is+/fTTcRk8ZcoUueCCC+I6NvYgfaytYcOGZpNO/HT88cdL7969ZejQobGH8RkCELCEADV4SwKJG3YR0KdAJk+eLMccc4x51nzixImi23SeAJ12+dZbbzVPHezZs0d0Kkt9Hr1x48YyfPhwM6HJkWjoXANdu3Y1E2n885//lJEjR5pJa3QqU50U6n//93/lwgsvNHmef/758v3335ssnRsDnVeif//+ZlS27njkkUdEbdTHHNu1ayd33313mQkbN240eWnLgc4uqc/0aqpYrvpSVaqKhx4/f/58Oe2008zNi04O8sQTT5hsdB2KK664Qn71q1+JPtbXr18/mTNnjtlXlR9mJ38gYAuB6OQHJAhAIIMEbrjhhkh0zYRyFjz11FORnj17RqLzUUeij6FFomIcic4TEIk+xxw599xzI88884z5/OCDD0bOPPPMSHQa0khRUVEkKtzmOM2sZcuWZtvmzZsj0d+rSPSRUVNGVEgjf/3rXyPRZ9cj0QlPItFHpyLRR3Ei99xzT2T69OmR6BoOkWhzfuSPf/xjJFrrj0Qn24hEF7ow51500UWRBx54IKJ5/Pa3v41Eb0DM9ptvvjkSfYQnEp26NhIVz0ivXr0i0W4Is0/tjd5ARNavXx+J3qBEogtnmO0Vy125cqWxMzppjtkf+6cqHnqM2jBp0qRI9PEv45f6oj5//fXXkehsiJEJEyZE1q1bF4neCEWiE4WYbKvyI7ZMPkMg6AR0diMSBCCQQQKVCfwJJ5wQidZEy6xSUY2usGe+R5vnIy+++KL5HF2AwoiXftHPKmD33Xef2VdR4FW0o030RthV3J3jVGjr1q1rztE/jz/+eCS6MlzZ98WLFxvh1ZuI6LO4kWjNPvLdd99Fon3lkegjPOY4FXhHPHWD2qt2qtCqyEZr2ZHo5CrmdfLJJ0eitXdzYxFbbnUCXx2Pv//97xG9KYjOWBmJrkhobjT0ZkcFPtpqUObHrFmzzE2TbqjKj7KD+QABCwjQRG9LUwx+WEUgKnYSFbUyn/RztBZa9t35oJNgaBN08+bNzTSWUTGucpDaO++8Y5rH582bZyY7ueuuu5xsRGd+dJKWrf3zTtJle7WJW8uPir+Z+vm4446To446SqZNm+YcVs5ebarX1Rx1sg4dOKeT4HTv3t28dMKVzz//3JwXW25ZRpV8qI6HdgGccsopZpKkcePGGf+1SV9T7MRJ0ZsJs9aBbq/OD91PgoANBBB4G6KID9YRKCgoEBViJ2l/sq4JXTFp/7v2vev+wsJCUeGNVjwqHma+R5vNpU+fPqbvveJEJ3qj4CQtW/u1nRRtWjcj8XXkvU5HG23eN33yWvZ//dd/SbSWbg5V4XaS2tIhOoe29unrwD61T/PRl/aD//d//7c5NLZc59zK3qvioU8IRJvb5aabbjI3IB999JHx32FQ1Uxt1flRWflsg0AQCSDwQYwaNltPQEe2/+UvfxGdM1xFTKddPumkk4zfWhPVKZg1qbhGm7xNTVVryzoATxdXSiZp2brGu95gaE1Y1wiIjgcwQq2D8Z577jlzU3HZZZeZR/wcMf3www+NyKrNulDG4MGDzeN/upysDhjUvHSwni5wEm1Cr9JE9Tf2pQvZVMXDWdM8Og7BzK2uzHS+9SMxqM6PKg1jBwQCRoDH5AIWMMwNB4E77rhDfvazn5nn1bW2GR3kJrpNkzZHX3fddUbko33f5jE7fcROhVYfn9Nm+mTSD37wAxk/frxpDdCmea2Bv/766ybLaL+9XHXVVRIdYGdWJNOR81q71tS2bVsz6l+X+VVB/sUvfmG233777WYebX0CQGvs2oyuLQlffvml2V/xT2yzuu7TEf1V8VA2OlJeR+errXrzoN0LOkpeWxCqStX5UdU5bIdA0AgwVW3QIoa9oSKgCyXpSm3OqlKO81pL1e0qmCrsWpN3hNY5Jtl3rTlrbVyFs2LaunWrWYJZBVbTLbfcYmrz+nicLtNc2fLM2leuNlbVbF6xjMq+V8VDH+3TfHV1u0RSRT8SOZdjIeB3AtTg/R4h7As1AZ19rrIUu9SnCluqxV3LVPGuTNx1X35+vr4dlrRvv2L/vnNQ06ZNnY+u36viod0WblJVfrjJi3Mg4DcCCLzfIoI9EAggAZ1gJ94BcwF0D5MhEEgCNNEHMmwYDQEIQAACEKieAKPoq+fDXghAAAIQgEAgCSDwgQwbRkMAAhCAAASqJ4DAV8+HvRCAAAQgAIFAEkDgAxk2jIYABCAAAQhUTwCBr54PeyEAAQhAAAKBJIDABzJsGA0BCEAAAhConsD/A4v+x8hQS8igAAAAAElFTkSuQmCC" alt="plot of chunk total_prosper_loans_hist"/> </p> | |
| <p>The number of loans appears to be exponentially decreasing as TotalProsperLoans increases. I am going to adjust the y axis and see the relationship. </p> | |
| <p><img src="data:image/png;base64,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" alt="plot of chunk total_prosper_loans_hist2"/> </p> | |
| <pre><code>## | |
| ## Pearson's product-moment correlation | |
| ## | |
| ## data: df.numByTotalProsperLoans.subset$TotalProsperLoans and log10(df.numByTotalProsperLoans.subset$NumOfLoans) | |
| ## t = -88.357, df = 5, p-value = 3.52e-09 | |
| ## alternative hypothesis: true correlation is not equal to 0 | |
| ## 95 percent confidence interval: | |
| ## -0.9999549 -0.9977300 | |
| ## sample estimates: | |
| ## cor | |
| ## -0.9996799 | |
| </code></pre> | |
| <p>Above plot and correlation test (corr = -0.9996) confirmed the negative exponential relationship between number of loans and total prosper loans.</p> | |
| <h3>Total Prosper Payments Billed</h3> | |
| <p>Now take a look at the Total Prosper Payments Billed.</p> | |
| <pre><code>## Min. 1st Qu. Median Mean 3rd Qu. Max. NA's | |
| ## 0.00 9.00 16.00 22.93 33.00 141.00 91852 | |
| </code></pre> | |
| <p>The median value is 16 and mean value is 22.93. The maximum is 141. How does its distribution look like?</p> | |
| <p><img src="data:image/png;base64,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" alt="plot of chunk TotalProsperPaymentsBilled_hist"/> </p> | |
| <p>The number of loans seems to peak around 16 and with a prominent spike around 35. I'd like to adjust the binwidth to 1 to see the finer picture.</p> | |
| <p><img 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CCAAALhAiT4cB/GIoAAAgggkEkBEnwmu41KI4AAAgggEC5Agg/3YSwCCCCAAAKZFCDBZ7LbqDQCCCCAAALhAiT4cB/GIoAAAgggkEkBEnwmu41KI4AAAgggEC5Agg/3YSwCCCCAAAKZFCDBZ7LbqDQCCCCAAALhAiT4cB/GIoAAAgggkEkBEnwmu41KI4AAAgggEC5Agg/3YSwCCCCAAAKZFCDBZ7LbqDQCCCCAAALhAiT4cB/GIoAAAgggkEkBEnwmu41KI4AAAgggEC5Agg/3YSwCCCCAAAKZFCDBZ7LbqDQCCCCAAALhAiT4cB/GIoAAAgggkEkBEnwmu41KI4AAAgggEC5Agg/3YSwCCCCAAAKZFCDBZ7LbqDQCCCCAAALhAiT4cB/GIoAAAgggkEkBEnwmu41KI4AAAgggEC5Agg/3YSwCCCCAAAKZFCDBZ7LbqDQCCCCAAALhAiT4cB/GIoAAAgggkEkBEnwmu41KI4AAAgggEC5Agg/3YSwCCCCAAAKZFCDBZ7LbqDQCCCCAAALhAiT4cB/GIoAAAgggkEkBEnwmu41KI4AAAgggEC5Agg/3YSwCCCCAAAKZFCDBZ7LbqDQCCCCAAALhAiT4cB/GIoAAAgggkEkBEnwmu41KI4AAAgggEC5Agg/3YSwCCCCAAAKZFCDBZ7LbqDQCCCCAAALhAiT4cB/GIoAAAgggkEkBEnwmu41KI4AAAgggEC5Agg/3YSwCCCCAAAKZFCDBZ7LbqDQCCCCAAALhAiT4cB/GIoAAAgggkEkBEnwmu41KI4AAAgggEC5Agg/3YSwCCCCAAAKZFOjIZK1DKt3V1RUy9sKojo4O41NW5dra2rzKKrpvXJUdMWKEd9z29nZbD00XNnR2dnrHVbtUB/1FDYqrOviYKa7+ZBE1qEyhUPCKq3qqrP6iBtXVty9U1sdA81Q5Wfg4+M5fceU1cuRIrz6OG3fUqFHefeHTLtVXg8r69IVvfV0f+NbBN67KyTfpuHHWNXnFWYfjrmsqHzXIwTeu6wtNEzW4dvn4Kq5i+iw3rqxPXNXB1TmqvirXiHVYcRuxDke1J2x8dO+FTZ3Ccb29vV610kLjU1YdpoXRp6xm7BtXZQcHB73j6ke6r69Pk4UOWtBVZ5/6uhXo3LlzoTE1UjE1+MR1K/zAwICdJuyf7u5ub1+tlDI7f/58WEg7rqenx2j+PvVV2/r7+71+dDR/lfWJG2dZ0DKmfvDp47hxFdOnL+LEFbIMfH6ofeNquXFx7ZuIf3zjNmod1kaD7zrsNuB8+lcJUH8+y5jWYblpmYwa9Bvi+1vmErvPcjN69Gi7TvrUV+uw1l+5RQ1jx47N1DqsNjViHR43blwUVdXx0btuVSdlBAIIIIAAAgikVYAEn9aeoV4IIIAAAgjUIUCCrwOPSRFAAAEEEEirAAk+rT1DvRBAAAEEEKhDgARfBx6TIoAAAgggkFYBEnxae4Z6IYAAAgggUIdA7m6Tq8Mi1qTLly8fUn7Lli1DPvMBAQQQQACBZgqwB99MfeaNAAIIIIBAgwRI8A2CJSwCCCCAAALNFCDBN1OfeSOAAAIIINAgARJ8g2AJiwACCCCAQDMFSPDN1GfeCCCAAAIINEiABN8gWMIigAACCCDQTAESfDP1mTcCCCCAAAINEiDBNwiWsAgggAACCDRTgATfTH3mjQACCCCAQIMESPANgiUsAggggAACzRQgwTdTn3kjgAACCCDQIAESfINgCYsAAggggEAzBUjwzdRn3ggggAACCDRIgATfIFjCIoAAAggg0EwBEnwz9Zk3AggggAACDRIgwTcIlrAIIIAAAgg0U4AE30x95o0AAggggECDBEjwDYIlLAIIIIAAAs0U6GjmzFt93osWLbqIYMuWLRd9xxcIIIAAAgjEFWAPPq4Y5RFAAAEEEMiAAAk+A51EFRFAAAEEEIgrQIKPK0Z5BBBAAAEEMiBAgs9AJ1FFBBBAAAEE4gqQ4OOKUR4BBBBAAIEMCJDgM9BJVBEBBBBAAIG4AiT4uGKURwABBBBAIAMCJPgMdBJVRAABBBBAIK4ACT6uGOURQAABBBDIgAAJPgOdRBURQAABBBCIK0CCjytGeQQQQAABBDIgQILPQCdRRQQQQAABBOIKkODjilEeAQQQQACBDAiQ4DPQSVQRAQQQQACBuAIk+LhilEcAAQQQQCADAiT4DHQSVUQAAQQQQCCuAAk+rhjlEUAAAQQQyIAACT4DnUQVEUAAAQQQiCvQEXcCyiPQ6gLXX3/9EIItW7YM+cwHBBBAIA0C7MGnoReoAwIIIIAAAgkLkOATBiUcAggggAACaRAgwaehF6gDAggggAACCQuQ4BMGJRwCCCCAAAJpECDBp6EXqAMCCCCAAAIJC5DgEwYlHAIIIIAAAmkQ4Da5NPRCWR2WL19e9skYbsEawsEHBBBAAAFPAfbgPaEohgACCCCAQJYESPBZ6i3qigACCCCAgKcACd4TimIIIIAAAghkSYAEn6Xeoq4IIIAAAgh4CpDgPaEohgACCCCAQJYESPBZ6i3qigACCCCAgKfAsNwm9+CDD5rLL7/cLFy40Fbr2WefNY899pgZGBgwb3nLW8wll1xiXnjhBfPAAw+YM2fOmBtuuMFcddVVtuy2bdvMjh07zLhx48zq1atNV1eXZ9MohgACCCCAQOsKNHQPvq+vz2zatMk88cQTNpmLube31zz00EPmbW97m3nTm95kPvOZz1j9zZs3G90DvmbNGnvv99mzZ83u3bvNrl27zLp168xLXvISs3Xr1tbtKVqOAAIIIIBADIGG7sFrb3zJkiVm4sSJpSodPnzYzJ4924wePdr+vfjiizb5nzp1yn6vgtrb37t3r9m/f79ZtGiRaW9vt3HWr19fiqM3586dM4VCofTd+fPnTVtbW+lz2BuVS7KsixUnblj93Li4ccvLuxjVXl1d3TTVyul7V8a9RpV1scPKubjqw0bEdfF96uAz/2pxqk3ra+Di+pb3LTcccd08wl5966tyGtxrWExXzqesK+Nek4rr4vjEVRn356YLe/Ut68rp1Wdw5aPKunju1ae8T1k3f5+ybp4+ZV1cN03Yq4vnXqPK+pRTDFfOvSYVNyxO1LiGJvhJkyYZ/T3//POlepw4ccImdvdFd3e3PTzf0XGhKkr+2jhQ2RkzZtiiKqfvyoe7777bHDhwoPTVypUrzbJly0qfk3xz2WWXhYaLGh86ccjIWuPWOl1IVeyosWPHRhWpafyECRNqmi5sojFjxpjJkyeHFUlkXFLWOlXViGHmzJmNCGvmzJnTkLhJeVZWjrjfE2EdNg071XvppZdWLnZ1f9aR8FqHC1m11ggxp9M59PIK9/f32z187Y27Qe97enqMkrorq3KVC+Ydd9wxZA9eZffs2ePChL6qHjpdEDWMHDnSTJ061R5NCCvr5usbNyxW+TgXd9SoUSWL8vGV75XU9HfkyJHKURd9HjFihNGGVbn9RYW+/4Wugejs7DTHjh2rVqT0vY64aCtW11hEDTq6oz14bcxFDZr/4OCg0ZGaqGHKlCnW6/Tp01FFjfpYy1f50aBqE02fPv2iUa6PKkfEWRa0IStbt7xXxir/HCeujpYdPHjQqy/ixJ07d649yuZj5htXy402Rvbt21fe3KrvfeP6rsNuRr5x9fs0fvx4c+jQITdp1VetD6qHT/+6376jR49WjedGaB2Wm5bfqEF1Vdnjx49HFbW/Cyrksw5rJ07r5MmTJyPjah1WWa3HUYN+d/Ub3Yh1WDF1Gjhq8F0WFKdR6/C0adOiqll1fEPPwQfNVVs4OvSuHwYdnterkpcWfu2h67NWcO3NzJo1y7gfT52Pd3vzLq5buLXQ6s/n0IibllcEEEAAAQTyLDDse/DaE9R5eZ1P11aUDqtr0OvGjRvtFuOCBQuMDtmq7HPPPWc2bNhgdI5+7dq1ee4L2oYAAggggEBiAsOS4FesWDGkwtdff7159atfbbQHrj8N8+bNs3861KTDOBo0btWqVfYQsvbwGRBAAAEEEEDAT2BYEnxQVcovqisf75J7+Xck93IN3iOAAAIIIBAtMOzn4KOrRAkEEEAAAQQQqFeABF+vINMjgAACCCCQQgESfAo7hSohgAACCCBQrwAJvl5BpkcAAQQQQCCFAiT4FHYKVUIAAQQQQKBeARJ8vYJMjwACCCCAQAoFSPAp7BSqhAACCCCAQL0CJPh6BZkeAQQQQACBFAqQ4FPYKVQJAQQQQACBegVI8PUKMj0CCCCAAAIpFCDBp7BTqBICCCCAAAL1CpDg6xVkegQQQAABBFIoQIJPYadQJQQQQAABBOoVIMHXK8j0CCCAAAIIpFCABJ/CTqFKCCCAAAII1CtAgq9XkOkRQAABBBBIoQAJPoWdQpUQQAABBBCoV4AEX68g0yOAAAIIIJBCARJ8CjuFKiGAAAIIIFCvAAm+XkGmRwABBBBAIIUCJPgUdgpVQgABBBBAoF4BEny9gkyPAAIIIIBACgVI8CnsFKqEAAIIIIBAvQIk+HoFmR4BBBBAAIEUCpDgU9gpVAkBBBBAAIF6BUjw9QoyPQIIIIAAAikUqCnBHzt27KKmHDlyxAR9f1FBvkAAAQQQQACBhgvESvC9vb1Gf0uXLrWv7vPZs2fNr/zKr5iHHnqo4RVmBggggAACCCAQLRArwb/xjW803d3dZufOnfZV7/XX09NjHn/8cXPddddFz5ESCCCAAAIIINBwgVgJ/vOf/7zp7+83b33rW+2r3utvYGDAfOtb3zLz589veIWZAQIIIIAAAghEC3REF7lQoq2tzXR0dJj777//wpe8QwABBBBAAIHUCcTag3e13759u3nta19rrrjiCvOyl72s9Pfwww+7IrwigAACCCCAQBMFYu3Bu3recsst5h3veIe92E579G546Utf6t7yigACCCCAAAJNFLiQnT0rUSgUzKlTp8ydd95pdMieAQEEEEAAAQTSJxD7EL2S+vLly80nP/lJc+7cufS1iBohgAACCCCAgImd4GV2+vRps2bNGjN58mTz8pe/vPTHOXiWKAQQQAABBNIhEPsQvar9wQ9+0Lzvfe+7qAWcg7+IhC8QQAABBBBoikBNCf6OO+4whw4duqjCd911l3nd61530fd8gQACCCCAAALDK1BTgtcevDv/rlc92W7z5s1myZIlw1t75oYAAggggAACgQI1Jfhrr712SLAbb7zRfPvb3zaPPvqoefOb3zxkHB/qE9AFjeXDli1byj/yHgEEEEAAgUCBmi6yq4ykW+f27t1rTp48WTmKzwgggAACCCDQBIGa9uB1nv3w4cO2ukru+m9iOzs7zb333tuEJjBLBBBAAAEEEKgUqCnBf/SjHzV9fX2lWPof5RYuXGhGjhxZ+o43CCCAAAIIINA8gZoSvC6mGxwctIfldZHdvHnzzIgRiRztb54Ec0YAAQQQQCBHAjVl5W9+85vm6quvton9la98pRk7dqzZsGFDjlhoCgIIIIAAAtkWqCnBv/Od7zQrVqyw5+GPHz9uHnnkEfvwm69//evZ1qD2CCCAAAII5ESgpkP0SuS6Xcudc3/Na15j3v72t5svfelLZsGCBTmhoRkIIIAAAghkV6CmPXhdUPe1r31tSKu/+MUvmilTpgz5jg8IIIAAAggg0ByBmvbg3/Wud9lH0i5dutTMmTPH7s1PmDDB3HTTTc1pBXNFAAEEEEAAgSECNe3B62l1emrdNddcYw/T6/+G3759u70Xfkh0PiCAAAIIIIBAUwRq2oM/deqU+dznPmc+/OEPm/b2drN27Vp7H7yuqG/VgUfKtmrP024EEEAgnQI17cHrKno9llb3wmv4kR/5EbNq1SqjK+oZEEAAAQQQQKD5AjXtwT/xxBNm165dpq2tzbZAyV1X1j/44IPmlltuaX6rqAECCCCAAAItLlDTHnxPT4958sknh9B94QtfMOPGjRvyHR8QQAABBBBAoDkCNe3Bf+QjHzHLli0zixcvNrNnzzaPPfaYueKKK7iKvjl9yFwRQAABBBC4SKCmBL9y5Urzla98xT7Y5syZM/Ziu7lz514UnC8QQAABBBBAoDkCNSV4VXX+/Pn2rznVZq4IIIAAAgggECZQc4IPC9rMcV1dXV6z7+joMD5lVU4XE/qULZ9x3PLl04a9j4rb2dlp/2e/qHKah9ql/wXQ538CVFzdEukbV7FlFzWoTKFQ8Iqreqqs/qIG1dW3j1XWx0DzDCpXzcR3/oorLz36Wa9RQ9y4o0aN8u6Lam0JqpPK+vSFb32drW8dfOOqnFyTjhtnXZOfljOf/q1lXVPsqEEOKufj4PpC00QNrl2+cRXTZ7lRHVTWJ67q4OocVV+Vk7FPXN/5a56K24h1OKo9YeOjey9s6hSO6+3t9aqVOtenrDpMC6NP2fIZxy1fPm3Y+6i4WtBV56hymodbgfRf/kYNiqnBJ65b4QcGBqLCmu7ubm9frZS6NfP8+fORcXUhqObvU1+1rb+/3+tHx90aWl6BavPwXcYUS8uY+qGvr688dOD7uHEV06cv4sRVxdRunx9q37hablxc+ybiH9+4cddh37hK1loeqvV/efVVVvXw6V8lFf35xNU6LDctv1GDNvR8f8s0fw0+y83o0aPtOulTX63DWn+D1qPK+ut/KW3UOiwvn/r6Lguqu9rUiHW4novXa7qKvrIj+IwAAggggAAC6RLI3R58uniTr03lE/M0B/3PfgwIIIAAAgiUC7AHX67BewQQQAABBHIiQILPSUfSDAQQQAABBMoFSPDlGrxHAAEEEEAgJwIk+Jx0JM1AAAEEEECgXIAEX67BewQQQAABBHIiQILPSUfSDAQQQAABBMoFSPDlGrxHAAEEEEAgJwIk+Jx0JM1AAAEEEECgXIAEX67BewQQQAABBHIiQILPSUfSDAQQQAABBMoFSPDlGrxHAAEEEEAgJwIk+Jx0JM1AAAEEEECgXIAEX67BewQQQAABBHIiQILPSUfSDAQQQAABBMoFSPDlGrxHAAEEEEAgJwIk+Jx0JM1AAAEEEECgXIAEX67BewQQQAABBHIiQILPSUfSDAQQQAABBMoFOso/8D6bAsuXLx9S8a9+9atDPvMBAQQQQKD1BNiDb70+p8UIIIAAAi0gQIJvgU6miQgggAACrSdAgm+9PqfFCCCAAAItIECCb4FOpokIIIAAAq0nwEV2DerzygvfGjQbwiKAAAIIIBAowB58IAtfIoAAAgggkG0BEny2+4/aI4AAAgggEChAgg9k4UsEEEAAAQSyLUCCz3b/UXsEEEAAAQQCBUjwgSx8iQACCCCAQLYFSPDZ7j9qjwACCCCAQKAACT6QhS8RQAABBBDItgAJPtv9R+0RQAABBBAIFCDBB7LwJQIIIIAAAtkWIMFnu/+oPQIIIIAAAoECJPhAFr5EAAEEEEAg2wIk+Gz3H7VHAAEEEEAgUIAEH8jClwgggAACCGRbgASf7f6j9ggggAACCAQKkOADWfgSAQQQQACBbAuQ4LPdf9QeAQQQQACBQAESfCALXyKAAAIIIJBtARJ8tvuP2iOAAAIIIBAoQIIPZOFLBBBAAAEEsi1Ags92/1F7BBBAAAEEAgVI8IEsfIkAAggggEC2BTqyXX1qHyRw9dVXX/T1li1bLvqOLxBAAAEE8ivAHnx++5aWIYAAAgi0sAAJvoU7n6YjgAACCORXgASf376lZQgggAACLSxAgm/hzqfpCCCAAAL5FSDB57dvaRkCCCCAQAsLcBV9i3T+8uXLh7SUq+qHcPABAQQQyJ0Ae/C561IahAACCCCAgDEkeJYCBBBAAAEEcihAgs9hp9IkBBBAAAEESPAsAwgggAACCORQoCkX2T3yyCNmx44dlnPcuHHm1ltvNS+88IJ54IEHzJkzZ8wNN9xgrrrqKjt+27ZttqzKrV692nR1deWwG2gSAggggAACyQo0JcE/88wz5rbbbjMjR440bW1ttkWbN282K1asMJMmTTL33HOPmT9/vjl8+LDZtWuXWbdundm+fbvZunWrLZMsAdEQQAABBBDIn8CwJ/jBwUG7l75z505TKBTM4sWLreqpU6fM7Nmz7fvLL7/c7N271+zfv98sWrTItLe3myVLlpj169cP6YFz587ZGO7L8+fPlzYY3HfVXrVh4TYuqpVx38cp66ZJ+6trk3uNqq+zcq9h5V1M37JaDnzLuthh89c4F8+9hpX3jVktRrV5xI3rW963nKuvb3nfcuVx3fuwV9+4KqfBvYbFdOV8yroy7jWpuC6OT1yVcX9uurBX37KunF59Blc+qqyL5159yvuUdfP3Kevm6VPWxXXThL26eO41qqxPOcVw5dxrUnHD4kSNG/YEf/r0adPT02P/Dh48aJP2mjVrTEfHhaqMHj3abgScOHHCzJgxw7ahu7vbflfeoLvvvtscOHCg9NXKlSvNsmXLSp+TfHPZZZclGa7psWptz9ixYxtS9wkTJiQed8yYMWby5MmJx60MWKtlZZxLLrmk8qtEPs+cOTOROJVB5syZU/lVIp+T8qysDHG/J8I6bBp2qvfSSy+tXOzq/tzX11dzjAtZteYQ8SYcP368uf322+1EV155pXnqqadMb2+v0d64G/ReGwFK6q5x/f39pnLBvOOOO9wk9lVx9uzZM+S7ah90Ll/lowadRpg6dao9mhBVNkvj5TRixAi7YVVuX60Nugais7PTHDt2rFqR0vc64qKt2IGBgdJ31d5MnDjRHoXRxlzUoPnrCJCO1EQNU6ZMscuONiijBvWxli8dSYgapk+fflGRasuc7zKmgNqQla1b3i+aSdkXceLqqJg2pH36Ik7cuXPn2qNsPma+cbXcaGNk3759Za2t/tY3btx12Deufp/0e3bo0KHqlfz+GK0PqodP/7rfvqNHj0bG1TosNy2/UYPqqrLHjx+PKlra4fJZbnRaVevkyZMnI+NqHVZZrcdRg3539RvdiHVYMc+ePRtVBbsh4JMnFKhR6/C0adMi61mtwLBfRa+L6TZt2mTro4VHyUV7b1r4dYGdfjC0gmtvZtasWaWEvXv37tLevGuMFu7yP59DI25aXhFAAAEEEMizwLDvwWvPSodO77vvPqMtVB1SV5LW4fWNGzfaPY0FCxbYpK+9xueee85s2LDB6Bz92rVr89wXtA0BBBBAAIHEBIY9wavmN998sz2k5A4v6bt58+bZPx1q0mEcDRq/atUqu5evPXyG5AR4Nn1ylkRCAAEE0ijQlAQvCJfEK1GCvie5VyrxGQEEEEAAgXCBYT8HH14dxiKAAAIIIIBAEgIk+CQUiYEAAggggEDKBEjwKesQqoMAAggggEASAiT4JBSJgQACCCCAQMoESPAp6xCqgwACCCCAQBICJPgkFImBAAIIIIBAygRI8CnrEKqDAAIIIIBAEgJNuw8+icoTIzmBygffKPKWLVuSmwGREEAAAQSGVYA9+GHlZmYIIIAAAggMjwAJfnicmQsCCCCAAALDKkCCH1ZuZoYAAggggMDwCJDgh8eZuSCAAAIIIDCsAiT4YeVmZggggAACCAyPAAl+eJyZCwIIIIAAAsMqkPvb5Cpv/+LWr9qXryVLlgyZGMshHHxAAAEEUiWQ+wSfKu2MVaZy4yhj1ae6CCCAQEsLcIi+pbufxiOAAAII5FWABJ/XnqVdCCCAAAItLUCCb+nup/EIIIAAAnkVIMHntWdpFwIIIIBASwuQ4Fu6+2k8AggggEBeBUjwee1Z2oUAAggg0NICJPiW7n4ajwACCCCQVwESfF57lnYhgAACCLS0AA+6aenur6/xQQ/C4el29ZkyNQIIIJCUAHvwSUkSBwEEEEAAgRQJkOBT1BlUBQEEEEAAgaQESPBJSRIHAQQQQACBFAmQ4FPUGVQFAQQQQACBpARI8ElJEgcBBBBAAIEUCZDgU9QZVAUBBBBAAIGkBEjwSUkSBwEEEEAAgRQJkOBT1BlUBQEEEEAAgaQESPBJSRIHAQQQQACBFAmQ4FPUGVQFAQQQQACBpARI8ElJEgcBBBBAAIEUCZDgU9QZVAUBBBBAAIGkBEjwSUkSBwEEEEAAgRQJ8L/Jpagz8lgV/se5PPYqbUIAgSwIkOCz0EsZqmNQQs9Q9akqAgggkBsBDtHnpitpCAIIIIAAAhcESPAXLHiHAAIIIIBAbgRI8LnpShqCAAIIIIDABYGWOwcfdI54y5YtF0R4hwACCCCAQA4EWi7B56DPMt+Eyo2sJ554IvNtogEIIIBA2gQ4RJ+2HqE+CCCAAAIIJCDAHnwCiIRobYHKIxLS4LRPay8TtB6BNAiwB5+GXqAOCCCAAAIIJCxAgk8YlHAIIIAAAgikQYAEn4ZeoA4IIIAAAggkLMA5+CJo5TlUzp8mvJQRDgEEEEBg2AXYgx92cmaIAAIIIIBA4wVI8I03Zg4IIIAAAggMuwCH6IednBlmSaDy9E2W6k5dEUCgtQVI8K3d/6lo/bXXXjukHkHXQFQm2qAyQ4LwAQEEEGhxAQ7Rt/gCQPMRQAABBPIpwB58QL9W7i3u3LkzoBRf5VGgsu/z2EbahAACrSGQuwTf1dWVeM8tXLgw8ZgErC7g04dRZdrb201HR4eJKqdaqOyIEckezNJ8feevOrS1tZmRI0faV30OG+LGHTVqlK1LWEyNixNX5dXGQqGgt6GDb1zXBz59phn6xlU5+SYdt7Oz0y43vnG1nKkeUYPiqqxPXMXTn8pHDXLwjev6QtNEDa5dPvVVXMX0WW5cWZ+4qoOrc1R9VU7GPnFVV59ymqfiNmIdjmpP2Pjo3gubOoXjent7U1grqhRHwKcPo8r09PSYgYEBE1WuUXvsmq9+GKLm71z0g3fu3DnT19fnvqr6GjeuYsoiaogTV7HUNp8fat+4Lkn5mvnG1Y+u6pl0XCXWwcFBr7gqq3r49K+Siv586qukIrf+/v6o7jXa0PN10Pw1+Cw3o0ePNufPn/eqrxKrysotahg7dqzXOqw4spWBz/Koeausj6/vMqY6KG4j1uFx48YpfE1DsrstNVWBiRBAAAEEEEAgaQESfNKixEMAAQQQQCAFAiT4FHQCVUAAAQQQQCBpgdydg08aiHjDL9Co8+KNijv8QswRAQQQiBZgDz7aiBIIIIAAAghkToA9+Mx1GRWWgM/e+Je//GWwEEAAgZYVYA++ZbuehiOAAAII5FmABJ/n3qVtCCCAAAItK0CCb9mup+EIIIAAAnkW4Bx8nnu3xdt23XXXtbgAzUcAgVYWYA++lXuftiOAAAII5FaABJ/brqVhCCCAAAKtLECCb+Xep+0IIIAAArkVIMHntmtpGAIIIIBAKwuQ4Fu592k7AggggEBuBUjwue1aGoYAAggg0MoCJPhW7n3ajgACCCCQWwESfG67loYhgAACCLSyAAm+lXuftiOAAAII5FaABJ/brqVhCCCAAAKtLECCb+Xep+0IIIAAArkVIMHntmtpGAIIIIBAKwuQ4Fu592k7AggggEBuBUjwue1aGoYAAggg0MoC/Hexrdz7tD13AsuXL7+oTY8++uhF3/EFAgjkX4A9+Pz3MS1EAAEEEGhBAfbgW7DTaTICUQKVRwK2bNkSNQnjEUAgZQLswaesQ6gOAggggAACSQiQ4JNQJAYCCCCAAAIpE+AQfco6hOogkFUBDutnteeod14FSPB57VnahUCCApXJO8HQhEIAgQYJcIi+QbCERQABBBBAoJkC7ME3U595t4xA5R7wcF6VfuONN4Y6D2ddQivCSAQQSFSABJ8oJ8EQ+J5AZUJPs0uW6ppmR+qGQNoESPBp6xHqg0AMgTQn56C6cbQgRudSFIE6BUjwdQIyOQK1CAQlv8cee6yWUEyDAAIIBAqQ4ANZ+BKB5gtUbgTkYe+3sk2Vys8++2zlV3xGAIEaBUjwNcIxGQJJCyxdujTpkLmIF7VRoEbmYeMnF51FI1IlQIJPVXdQGQQQQMCYxYsXX8TARsxFJHwRIUCCjwBiNAJpEfDZk01LXWutxxVXXFHrpEyHAAIVAjzopgKEjwgggAACCORBgD34PPQibUCgxQWijm7s3LmzxYVofisKsAffir1OmxFAAAEEci9Ags99F9NABBBAAIFWFOAQfSv2Om1GAAFTeVi/8ir1yvEiqywDIwJpFshVgv+jP/ojc//996fZm7ohgEBKBYISekqrSrUQ8BLgEL0XE4UQQAABBBDIlkCu9uCzRU9tEUBguAQWLlyYyKwq9/Kffvrp2HErYygAh/5jMzKBhwB78B5IFEEAAQQQQCBrAuzBZ63HqC8CCKRGYNGiRZF1Ye88kogCDRJgD75BsIRFAAEEEECgmQLswTdTn3kjgEDuBYLOuee+0TQwFQIk+FR0A5VAAAEEwgUqNxSSOPRfGVM1SCJueEsYO1wCJPjhkmY+CCCAQBWBoERbpWgqv37Vq141pF5sJAzhaNoHEnzT6JkxAgggULuAz0ZBoxKtz7xrbxlTJiVAgk9KkjgIIIBADgQqk3ctGwmVMXxYfOYTFNdnOp/557EMCT6PvUqbEEAAgaJAZUJ88sknY7tUxogdoI4JrrvuuthTV9a3lTcASPCxFx8mQAABBLIpcM0116S24pWJ2beitU7nG9+Vq5xP0IbD0qVLXXH7GlRmSIEGf0h9gt+2bZvZsWOHGTdunFm9erXp6upqMAnhEUAAAQTyIlCZmH3b1ezk7FvPsHKpTvC7d+82u3btMuvWrTPbt283W7duNStWrAhrD+MQQAABBBCoWyBqwyBqfN0VSCBAqhP8888/b/QoyPb2drNkyRKzfv36IU3u6+szg4ODpe8KhULpPW8QQAABBBBopoDPRsBdd901pIqbNm0a8nnZsmXmtttuG/Kd74dUJ/gTJ06YGTNm2LZ0d3ebM2fODGnXxz/+cXPgwIHSdytXrjQf+MAHSp95gwACCCCAQJYEbrrppiHV1Y5srUOqE7ySumtcf3+/GTt27JB23nnnnaZ8r11l9+zZM6RMtQ86l9/b21ttdOn7kSNHmqlTp5r9+/eXvgt74xtXbRs/frw5dOhQWLjSuFGjRpUsSl8GvBkzZozR35EjRwLGDv1qxIgRpqOjw5w7d27oiIBPugais7PTHDt2LGDs0K90xKWtrc0MDAwMHRHwaeLEibYPtTEXNWj+OmJz/vz5qKJmypQp1uv06dORZdXHWr7Kl6VqE02fPt0o5tmzZ6sVKX3vuyxoAm3IytYt76UgAW/ixJ09e7Y5ePCgV1/EiTt37lyzd+9eLzPfuFpuZs6cafbt2xfQ6ou/8o2bhnVY64Pq4dO/PT09Rr8PR48evbjRFd9oHZablt+oQb83Knv8+PGoovZ3QYV81uFJkybZdfLkyZORcbUOa/0tP/JabSL97uo3utXX4WnTplUjivw+1f/ZzKxZs0oJW+fj3d68a5VWGi3g7s99zysCCCCAAAKtLpDqBP+KV7zC7l1u2LDBPPTQQ+YNb3hDq/cX7UcAAQQQQMBLINWH6LVnvmrVKpvkdXiLAQEEEEAAAQT8BFK9B++aQHJ3ErwigAACCCDgJ5CJBO/XFEohgAACCCCAgBMgwTsJXhFAAAEEEMiRAAk+R51JUxBAAAEEEHACJHgnwSsCCCCAAAI5EiDB56gzaQoCCCCAAAJOgATvJHhFAAEEEEAgRwIk+Bx1Jk1BAAEEEEDACZDgnQSvCCCAAAII5EiABJ+jzqQpCCCAAAIIOAESvJPgFQEEEEAAgRwJkOBz1Jk0BQEEEEAAASdAgncSvCKAAAIIIJAjARJ8jjqTpiCAAAIIIOAESPBOglcEEEAAAQRyJECCz1Fn0hQEEEAAAQRKAoWcDCdPnizceeedibdm//79hd/7vd9LPO6zzz5b+LM/+7PE4z755JOFT37yk4nH/fd///fC3//93yce95//+Z8LDz/8cOJx//Zv/7bw+OOPJx73L/7iLwr/8z//k3jcu+66q7B79+7E4/7O7/xO4ejRo4nGPX/+fOHd7353obe3N9G4J06cKLz3ve9NNKaCfetb3yr8/u//fuJxv/71rxc+8YlPJB73iSeeKHzqU59KPO6jjz5a+Md//MfE4z7wwAOFLVu2JB7305/+dOHLX/5y4nH//M//vLBjx47E4/7hH/5hQ9bh97///YVjx47VVN/c7MEXW2/6+vpKGy5JvRkcHGxY3HPnziVVzVKc4o+v6e/vL31O6s3AwIDRX9JDo+LKoBH1VVwZJz1o2W1E3GISNlo3kh4asa41ah1uVFz9NjRiHVbcRq3DjYibtXVNfdaIdU1xG7GuaR3WMlHLkJsEX0vjmQYBBBBAAIG8CpDg89qztAsBBBBAoKUF2j9QHPIg0N7ebi677DIzbdq0RJvT2dlp5syZY6ZMmZJo3K6uLjN79mwzadKkROOOGTPGxp0wYUKicceNG2fjjh07NtG4quesWbOM6p3kMHnyZDNz5kwzevToJMPa5UtxR40alWjcSy+91MyYMcNoeUtykK1ia/1Iamhra7PLwiWXXGL0PqlBddS6lvQ6PHLkyIasw93d3Q1dh8ePH58UrY2jdVjLQ9Lr8MSJExuyDus3V+uanJMcpk+fbte1RqzDWtfStA63Fc8ZJH+CLsneIBYCCCCAAAIIxBbgEH1sMiZAAAEEEEAg/QIk+PT3ETVEAAEEEEAgtkBH7ClSOIFuhyreo20OHz5s5s+fb37sx34skVoW71U3//qv/1qKtWbNGlPvebEHH3zQXH755WbhwoU2rubx2GOP2Vu63vKWtxid16xlqIz713/916Z4X7ENtWDBAvOGN7whVth9+/aZ4r3v9hbBH/zBHzSvfvWr7fTbtm0zxXtIjc7nrV692uhagjhDUNzTp0+bv/zLvyyFWb58ecmn9GXEG8X9/Oc/b1588UVzww032OmTWC7++7//23zlK1+xt7/85E/+pD0/nER91Rzd+nLfffeZFStW2PPkL7zwgineU2zOnDlj23DVVVdFtDp4dGXcJJbjoOUpifoGxX3kkUfsMqbWaTm79dZbgxta5Vv1+3/+53+a5557zq6v6jed3693XasWN6gNVaoW+HXxmQ3m0KFDpXFXXHGFeeMb32jqWdd0y1bxORulmHrz+te/3mhdrre+qmvxvnd7i+ArX/lKs2jRIvv7Ve9vcFDcJNa1p59+2vzHf/yHPTd+0003malTpyZS36C49axrWr42bNhg3v72t9trh6r9fsVajnUOPuuDHrKgB7EUQexDXooAiTRJD2EpdmKhuLLYv3qC6qEgf/M3f1P4rd/6rcJXv/pVG6qYjAp6OELxB90+jOOP//iPY88iKG7xHuWCHpzi6i2XuMPHP/7xwvHjxwvF+0ULf/qnf2oftLBr165CMSFZ5+JGSaG4URE3bCEorh4YogdwuPpqnnEHPTRI9VXbf/d3f9fWu97lQv2i+qo+arsecqMhifoqztatW+2DXYobJ/pYuPfeewt6/93vfrfwB3/wB3a5sCNi/lMZt97luNryVG99q8WVuQy0PBTvsY7Z+oL9LShuJNjp9Kr+SmJd029MZdxqbYhTaa2fbtnXuvb888/b5a3edc3F1HqhB/3INIn6ql5aTtU3H/3oR23d613X5BUUt951Tf2uOp49e7ZQ3CC1v4uaV731rRa31nWtuHNa0O//b/7mb9p+qlbHuMtxLg7RF1cIs3jxYruVfvXVV5v//d//HbLlWuuHb3/726a4YJgvfelLds+w1jiaTntlS5YsMa961atKYXTEQVfS60pvXd1a7LzYD2cJinvgwAF7pez27dvN//3f/5kRI+J38y233GJ0daym1ZXSp06dMnLW1rr2htSWWpyD4sq5o6PDHskoPnWtpvr+8i//sq1v8allRldNq971Lhfql1/7tV+ze+/Fp8wZd2dCEvVVDO2x6IiTG2Ss5UF3FOgoz969e90o79eguPqunuW42vJUb32D4urog5bpnTt3Gh09qeUBH8UnDZqXvexldi9ee5jaI05iXQuKG9QG7876fkGtT7ryWnuZc+fOtX2fxLqmmPr7p3/6J/MTP/ETdrlKor66ql3rw8GDB+0DY5JY10QRFLfedU3rkO7MUGzdWaP1oLjhU/dvQ7W4ta5rWpd0RFRX4bsh6Pcr7nIc/5ffzT1FrzoU7W6H0qt+IJIYXGLUYcLi1lVdT7TT7XA6VF4+lNdb32shjFv3oLjFLXV7G5cWFh1e/rd/+7fy2Xq9V3LXUHy8pa2XfnjK61tLXRUvKK5WOG1E6Daxv/u7vzPf/OY3VTT2oEOyn/vc5+yPuxJDeX3rWS6++MUv2o08l4zrra+e/FXc0jc6dOwG/fBoI8cNtdQ3KK7i1bscBy1PSdQ3KK4Oyfb09Ng/jV+/fr0j8X7Vj6UO8+tpZZpeSa18WVCgWpbfoLhBbfCuaFlBLa/Fo2Jm2bJl9tvy+tZSVxdaG5Hf+c537EaOvkuivtrI1+mDz3zmM/Y3TetueX1rWXZVt6C49a5r2lAuHn2zOzr/9V//ZS3Uj/XWt1rcWte1l770pRedng2qY/l3MotaNi78oqh0Rgc1snjoyW6taoHQD0QSw2233VYKoz1DnXvWnmtSg85fq95u0A90EveD6/y+O8evZwPcfffdNV2XoOsP9AOhvW4NzlnvVdda76etjKvzjW4oHpqyGyXz5s1zX3m/vvzlLzf6+6u/+iu7keDqq72YepaL1772teb66683H/rQh6xrvfVV8tGPoDa+jhw5Yp566in7w646uqGW+gbF1fnGepfjoOVJ10nUW9+guLp+5vbbb7cMV155pbUp/j8Tsa59UX+rfu7oWPH/Z7DLRb3rWlDclStXJrKuPfPMM0Y/8louNLhlV+/rWdeKz3K3y67iaKhm/r2x0f9qo0nn2t/3vvfZ39vi/3thk6erb63rWrW49a5rqo+unZKDnq+gxKzrqOqtb7W49a5r5T0QVMe4OSMXe/A6vL1nzx5ro0NHejhCvYO2qIvnXEs/Yjo0oj3MJAftYRf/Mxt7CFiH55Xcyvfiap2XDm1+4QtfsJPrkHctF+4pCWtrX8nd1anSuRaPoLja63aHo2txVl/dc889pb7SZ218VNY37nKhi8g2btxY6gatXDqcWm99dSTnFa94hf0xl63i6lWnFnQER8uBLhqM229BcRWr3uU4aHmSQ731DYor802bNllzXWSkjYi4G5JK7NpL06CNA/kmsa4FxQ1qg51xzH+U4LUH64bKZbeWdU2xdEFWedwk6qv+cHuqSnT6q6xv3HVNdQ2KW++6pue469SKjpbpNK42lpKob1BcrRP1rmtycEOQadzlOBcPutEhqOJFWqXOe8c73pHIE7aK/6uTPQ+ohUJPP9I5knqHhx56yO5ZuCukdX5f5xt1aFJ7Azp3WMtQHld7KkpMShpKmD/3cz9n5+kbVz+Kxf+FzCYY96QyncPTIWptveswkX5A165da69yrjeujlroLgDVVyuOrpp2ezK+sbWXpj1ixVBf6WrZJJYLnb8sXqRkE43O5/7QD/2Q0dGceuvr2qV+uvHGG23/6NSE9sKV2JSsX/e617lisV/L49a7HFdbnuqtb7W4WpfVd9o41dGT8utWfCA0bfEiKnu+VeuVW57qXdeC4upHvZ51zbWneHGdXU/dky21kVrPuqa42isu/k+Ydl1286lm7sb7vGo90xXk+m1QUtbdP0msa0Fxk1jX5KidFZ1W0h0rOiefRH2D4ta7rulU8Dvf+U57JLdaHeMsx7lI8G6h1Na+9iqSHLSiKcEn/VjD8jrqB11bxG6ruHxcPe+1Mjei3o1wVjuV3LW3VeugvtKPmrbQy4d666vpFdNt7LjY9dbXxal8dXsZld/X8zmJ5bja8lRvfYPiKqbWByXQWoegfk9iXQuKG9SGWutdPl3QvMrH1/q+3vrqyJAsk17XqsWtd12r5ljte1/XoOmTWNfK5x80D9/lOFcJvhyF9wgggAACCLSyQC7OwbdyB9J2BBBAAAEEggRI8EEqfNdyAjpHp9sh9adrAnR42H2Oegqg7n39xCc+EWmmq8M//OEP23I6766rZDUPXdWr/znrp3/6p+25wchAw1ggK/V0JDr3ricwhg0f+9jH7KFl2euOm7nFW0DXrVtnTxFpujvuuMP89m//tg2hi9u+8Y1vmMcff9w+BS4sbtA4XSip+5kZEGiGAAm+GerMM3UC+qHXhYP6073/Srjuc9RzBHTRiy6OizvoUaKahy5q1FXzei0+ySpumIaXz0o9BaFHferOlKhBF1vJXht2umBMt8DqTgwN733ve1PZD1FtYjwCm4GDfQAACCZJREFUlQIk+EoRPiNQRUC3Hup2G13prLsK9IwAPUTl3e9+t31Iyc/+7M/aKYuPJLYPFtFGg27N0RX+UYPuGtAV4zoaoEHvi4+rtXcEPPzwwzZp/cZv/Ia9VVPPE3d7qbrY5hd+4RfsU/b0zIPio4/t9EpYb33rW80txdscdf+v7tDQPfcadCHTRz7yEXtrk25n0pXW+k5D5Xztl2X/VNaz+ChRO42OQmj+ugpYw6//+q/b5+y7SfUQl5//+Z+3ifRtb3ub+cVf/EX7ZLEf/dEftQ8iWbp0qb2TwE2v6eStW7z0BEG56xY6DcXHMNtnO+j/HNA4tVO3meqe7OJjeu0euJ7vrict6gp8XemtftCT4oIG1V13iOhiJg16VvunPvWpoKL2uzA/bajpiI82EH/1V3+1pifxVZ0xIxCIKUCCjwlG8dYU0PMVdOud/nRfrQ6vK1HpEKwegPOa17zGPjVNt47pcO/9999vb6fTg5Hc4d5qckoYetjNpz/9afOmN73JFtMjhpXElWz0+GUdvj927JjdWPilX/olm7C1caFbylRWh4G1IaBkrc+66lhPGtMtg3rCn+rp/tMWzUcJULdW6j+30dMD9ZQvDZXztV9+/5+gemqjRg+nUV2UnHUEQrcVXnvttfb2MTe9PHSLoeql+euwuNqs2ziVhN///vfb+mjDQ1d46xY57WUrnu7lVhIuPlPchtM4bfxoT1t737q3e/PmzeZnfuZnjDYUdIunbt0q/r8Ptr+0YaP/wEP94gYlf20MFZ/Rbl0UQw9E0aDybmPClS9/DfPTLal6SJPqpbaqrgwINEuABN8seeabKQElQj0FTHvEegCFzqXrsLwSgc7Z63Yh7bEroepeWCVlncfX/ex6ZnfQoD087YFqOiU/PXVu1apVpaI6Z//jP/7j9jZNPS5XyU973LpPVk890z36mq/uFdaTuvSULiUUjdOgZwJo40JHHJQo/+Vf/sUmTx1hUML7gR/4AfvcBR0BULJ3g5uv2qIhrJ76XwC1t67bMZW0teHjkrM2hNzzyvVoXiVdDSrznve8x+7x6xy/Erxe9WwI7flqOj3gRE+y0waVfPXkND0kyQ3aENLev44a6HkBetCV6iAPldd7tV+JW+fQldzVL27QsxyK/+mTTcTaANJnbdz4DNX8tGGjflJd1U/a0GBAoJkCuXhUbTMBmXdrCOhJe+UPXFES1X9eoT3X8kGHgz/72c/aP53jVTndFxs0KOnefPPN9l5vbTRoL7V80JPTNGjeel/+dDDVRfN+17veZZOYHu6kQ8w6DK5D2BqUIFUfDaqHDq8rls5Rq8yf/Mmf2HH6R4ew3eDm6z6H1VPJXI/xVZJUgtZzCNRezUuPGdWGkfZo9QhhXbCmeZc/lU3lNM4Neo6FYuhUhU4zVD74yZ1f12kHNyih61RF5VD8X+nsY3r1gKKXvOQlNuFqL1+DvtMRDjfo/Lv+wyJtEEQN1fy0gaB+dBtG6q/yPouKy3gEkhZgDz5pUeLlUkB7ljrf7AbtmWqPTYmjfNBjVv/hH/7BHjpXGSVHd367vJzeKxnofLoScWVy13j3kBft2SuZay/TDXr6oeatw9m6BkDjdRhce+Ibi0/H06DTCkqWGnRuWE/yUvK+5ppr7OFu1U9/Oq2gad3g5us+V6un2q8NFDd/XZyotrr26smPSvD6Kz8yURnfzaf8VQn4uuuus/Vz9VTydRsHlQ8dKp/WvdcevE5h6FoJPSNcGz86zRE06JSCTgW4ugeVcd9V89MT0sr7SY8ddtc9uGl5RWA4BUjww6nNvDIroP+8RFfL65nh2kPVf2jjErP2IHUFvAYlPe2x6nC+koWSrZ7KVs+gQ+lK5sX/L9vG/NrXvmb3NLUXr73Qn/qpn7JP2dPFXeV7vDqCoOTq6qHrBHR4XBfc6SIyPQpT43QevfziNt+66gp0Dfof0PQEQp3L13ln114dQte5aF0b8OY3v9k3bCmmDqnrMLoGXTOgeNWOhthCxX/UF25DSKdTZKZTFNpz12F7l8B1tEN9pT9dv6Dz8T/8wz980dMKXdzy12p+us5BRyN0CF+D+sZZlE/PewSGS4AEP1zSzCfTAtpr0zlV7VnqXLOeQ61z4Bq0F669ex2i1sVwOrysq7+1AaCL7LQHqr3nWgft8erIwL333mvPOb/+9a+377URoYu6lNS0EaA9SJ33Vx006FDxBz/4Qfu96qskqUEXxSkZqR3aGNFevu79jjtofrrQUG3VNQS6nVAbHbqATYMSqjY6tHFSfkjdZz7aENEFcDr8r40W3buu//o1au9f5XVEQddI6E+3zen/g9efLHQkRoOuR9ApFv2pT9U/KuszhPnpYj89E0E22rjTKwMCzRLgUbXNkme+mRTQuV7trSsxlA/as9ThciUmDToUPHHiRJtwy8vV+16HfHXIvvIQtfactVeqh7do0K15Sv46N669VPefmJTPX4eQNWgDoZ5BcVQfnU+vHHRYXBsk7hbCyvFRn7XxoT3ySu+w6WShi+3cxoCOVOhaBB2yT3II81P/x6lzkvUiFgJOgATvJHhFIEcC5Qm+Gc3SaQQdHtd96boqXnvzDAggMLwCHKIfXm/mhsCwCOiwuO6Jb9agvVcdntajY0nuzeoF5tvqAuzBt/oSQPsRQAABBHIpwB58LruVRiGAAAIItLoACb7VlwDajwACCCCQSwESfC67lUYhgAACCLS6AAm+1ZcA2o8AAgggkEsBEnwuu5VGIYAAAgi0ugAJvtWXANqPAAIIIJBLgf8HRF92UeMR9mYAAAAASUVORK5CYII=" alt="plot of chunk TotalProsperPaymentsBilled_hist2"/> </p> | |
| <p>The above plot shows that the payment bills seem to be quite strange. It seems to be consisted of a couple of exponential-like decreasing distributions. I'm going to find out the cut points of these distributions. Let's preview first 50 summarized data.</p> | |
| <pre><code>## TotalProsperPaymentsBilled NumOfLoans NumOfLoans.percent | |
| ## 1 0 65 0.0005704907 | |
| ## 2 1 422 0.0037038012 | |
| ## 3 2 308 0.0027032483 | |
| ## 4 3 281 0.0024662752 | |
| ## 5 4 257 0.0022556325 | |
| ## 6 5 253 0.0022205254 | |
| ## 7 6 1219 0.0106988950 | |
| ## 8 7 780 0.0068458885 | |
| ## 9 8 643 0.0056434696 | |
| ## 10 9 1633 0.0143324820 | |
| ## 11 10 1144 0.0100406365 | |
| ## 12 11 1041 0.0091366281 | |
| ## 13 12 822 0.0072145133 | |
| ## 14 13 739 0.0064860405 | |
| ## 15 14 664 0.0058277820 | |
| ## 16 15 558 0.0048974433 | |
| ## 17 16 532 0.0046692470 | |
| ## 18 17 486 0.0042655152 | |
| ## 19 18 449 0.0039407743 | |
| ## 20 19 418 0.0036686941 | |
| ## 21 20 422 0.0037038012 | |
| ## 22 21 382 0.0033527300 | |
| ## 23 22 323 0.0028349000 | |
| ## 24 23 326 0.0028612303 | |
| ## 25 24 303 0.0026593644 | |
| ## 26 25 265 0.0023258467 | |
| ## 27 26 233 0.0020449898 | |
| ## 28 27 263 0.0023082932 | |
| ## 29 28 225 0.0019747755 | |
| ## 30 29 226 0.0019835523 | |
| ## 31 30 207 0.0018167935 | |
| ## 32 31 232 0.0020362130 | |
| ## 33 32 249 0.0021854183 | |
| ## 34 33 254 0.0022293022 | |
| ## 35 34 267 0.0023434003 | |
| ## 36 35 1069 0.0093823780 | |
| ## 37 36 297 0.0026067037 | |
| ## 38 37 112 0.0009829994 | |
| ## 39 38 116 0.0010181065 | |
| ## 40 39 107 0.0009391155 | |
| ## 41 40 98 0.0008601245 | |
| ## 42 41 103 0.0009040084 | |
| ## 43 42 90 0.0007899102 | |
| ## 44 43 110 0.0009654458 | |
| ## 45 44 148 0.0012989635 | |
| ## 46 45 116 0.0010181065 | |
| ## 47 46 118 0.0010356601 | |
| ## 48 47 113 0.0009917762 | |
| ## 49 48 140 0.0012287492 | |
| ## 50 49 125 0.0010970975 | |
| </code></pre> | |
| <p>The cut points, or “jumping” points of exponential decreasing distributions, are 1, 6, 9, and 35.</p> | |
| <p>I wonder why is it like this and suspect there could be a few categorical variables that control the distribution.</p> | |
| <p>Let's take a look at the loans with TotalProsperPaymentsBilled at 35 specifically.</p> | |
| <pre><code>## A AA B C D E HR NC | |
| ## 1069 0 0 0 0 0 0 0 0 | |
| </code></pre> | |
| <p>It appears that there is no CreditGrade for TotalProsperPaymentsBilled at 35. </p> | |
| <h3>Other Credit Historical Variables</h3> | |
| <p>Other Credit Historical Variables include: CreditScoreRangeLower, CreditScoreRangeUpper, CurrentCreditLines, OpenCreditLines, TotalCreditLinespast7years, OpenRevolvingAccounts, OpenCreditLines, InquiriesLast6Months, TotalInquiries, CurrentDelinquencies, AmountDelinquent, DelinquenciesLast7Years.</p> | |
| <p>As there are so many of them, I am going to plot these 12 variables on one plot and also the summaries of each of them. </p> | |
| <p>(All sub-plots removed top and bottom 1% of values to get rid of outliers. I also applied log scale on y axis for CurrentDelinquencies, AmountDelinquent, DelinquenciesLast7Years as they appear to be negative exponential distribution)</p> | |
| <p><img src="data:image/png;base64,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" alt="plot of chunk CreditHistory_hist"/> </p> | |
| <pre><code>## [1] "summary of CreditScoreRangeLower" | |
| ## Min. 1st Qu. Median Mean 3rd Qu. Max. NA's | |
| ## 0.0 660.0 680.0 685.6 720.0 880.0 591 | |
| ## [1] "" | |
| ## [1] "summary of CreditScoreRangeUpper" | |
| ## Min. 1st Qu. Median Mean 3rd Qu. Max. NA's | |
| ## 19.0 679.0 699.0 704.6 739.0 899.0 591 | |
| ## [1] "" | |
| ## [1] "summary of CurrentCreditLines" | |
| ## Min. 1st Qu. Median Mean 3rd Qu. Max. NA's | |
| ## 0.00 7.00 10.00 10.32 13.00 59.00 7604 | |
| ## [1] "" | |
| ## [1] "summary of OpenCreditLines" | |
| ## Min. 1st Qu. Median Mean 3rd Qu. Max. NA's | |
| ## 0.00 6.00 9.00 9.26 12.00 54.00 7604 | |
| ## [1] "" | |
| ## [1] "summary of TotalCreditLinespast7years" | |
| ## Min. 1st Qu. Median Mean 3rd Qu. Max. NA's | |
| ## 2.00 17.00 25.00 26.75 35.00 136.00 697 | |
| ## [1] "" | |
| ## [1] "summary of OpenRevolvingAccounts" | |
| ## Min. 1st Qu. Median Mean 3rd Qu. Max. | |
| ## 0.00 4.00 6.00 6.97 9.00 51.00 | |
| ## [1] "" | |
| ## [1] "summary of OpenRevolvingMonthlyPayment" | |
| ## Min. 1st Qu. Median Mean 3rd Qu. Max. | |
| ## 0.0 114.0 271.0 398.3 525.0 14980.0 | |
| ## [1] "" | |
| ## [1] "summary of InquiriesLast6Months" | |
| ## Min. 1st Qu. Median Mean 3rd Qu. Max. NA's | |
| ## 0.000 0.000 1.000 1.435 2.000 105.000 697 | |
| ## [1] "" | |
| ## [1] "summary of TotalInquiries" | |
| ## Min. 1st Qu. Median Mean 3rd Qu. Max. NA's | |
| ## 0.000 2.000 4.000 5.584 7.000 379.000 1159 | |
| ## [1] "" | |
| ## [1] "summary of CurrentDelinquencies" | |
| ## Min. 1st Qu. Median Mean 3rd Qu. Max. NA's | |
| ## 0.0000 0.0000 0.0000 0.5921 0.0000 83.0000 697 | |
| ## [1] "" | |
| ## [1] "summary of AmountDelinquent" | |
| ## Min. 1st Qu. Median Mean 3rd Qu. Max. NA's | |
| ## 0.0 0.0 0.0 984.5 0.0 463900.0 7622 | |
| ## [1] "" | |
| ## [1] "summary of DelinquenciesLast7Years" | |
| ## Min. 1st Qu. Median Mean 3rd Qu. Max. NA's | |
| ## 0.000 0.000 0.000 4.155 3.000 99.000 990 | |
| ## [1] "" | |
| </code></pre> | |
| <p>The distributions of <em>CreditScoreRangeLower</em> and <em>CreditScoreRangeUpper</em> seem to be exactly the same. They are both a negatively skewed normal distribution with median value at 680.</p> | |
| <p><em>CurrentCreditLines</em>, <em>OpenCreditLines</em>, <em>TotalCreditLinespast7Years</em>, <em>OpenRevolvingAccounts</em> appear to be normally distributed, with mean values at 10.32, 9.26, 26.75, 398.3, respectively. </p> | |
| <p><em>OpenRevolvingMonthlyPayment</em> seems to be a half normal distribution with mean value at 0. The median value is 271 for the whole population.</p> | |
| <p>The distribution of <em>InquiriesLast6Month</em> seems to be negative exponential, with median value at 1. <em>TotalInquiries</em> appears to be following long tail distribution.</p> | |
| <p>It is presented that <em>CurrentDelinquencies</em>, <em>AmountDelinquent</em> and <em>DelinquenciesLast7Years</em> look like negative exponential distributions.</p> | |
| <h2>Date</h2> | |
| <p>Now I am going to take a look at the loan origination date because I am interested in finding out the how the number of loans changes with time. </p> | |
| <p>Let's convert the date variable to date type and aggregate by week (binwidth = 7).</p> | |
| <p><img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAfgAAAH4CAYAAACmKP9/AAAD8GlDQ1BJQ0MgUHJvZmlsZQAAOI2NVd1v21QUP4lvXKQWP6Cxjg4Vi69VU1u5GxqtxgZJk6XpQhq5zdgqpMl1bhpT1za2021Vn/YCbwz4A4CyBx6QeEIaDMT2su0BtElTQRXVJKQ9dNpAaJP2gqpwrq9Tu13GuJGvfznndz7v0TVAx1ea45hJGWDe8l01n5GPn5iWO1YhCc9BJ/RAp6Z7TrpcLgIuxoVH1sNfIcHeNwfa6/9zdVappwMknkJsVz19HvFpgJSpO64PIN5G+fAp30Hc8TziHS4miFhheJbjLMMzHB8POFPqKGKWi6TXtSriJcT9MzH5bAzzHIK1I08t6hq6zHpRdu2aYdJYuk9Q/881bzZa8Xrx6fLmJo/iu4/VXnfH1BB/rmu5ScQvI77m+BkmfxXxvcZcJY14L0DymZp7pML5yTcW61PvIN6JuGr4halQvmjNlCa4bXJ5zj6qhpxrujeKPYMXEd+q00KR5yNAlWZzrF+Ie+uNsdC/MO4tTOZafhbroyXuR3Df08bLiHsQf+ja6gTPWVimZl7l/oUrjl8OcxDWLbNU5D6JRL2gxkDu16fGuC054OMhclsyXTOOFEL+kmMGs4i5kfNuQ62EnBuam8tzP+Q+tSqhz9SuqpZlvR1EfBiOJTSgYMMM7jpYsAEyqJCHDL4dcFFTAwNMlFDUUpQYiadhDmXteeWAw3HEmA2s15k1RmnP4RHuhBybdBOF7MfnICmSQ2SYjIBM3iRvkcMki9IRcnDTthyLz2Ld2fTzPjTQK+Mdg8y5nkZfFO+se9LQr3/09xZr+5GcaSufeAfAww60mAPx+q8u/bAr8rFCLrx7s+vqEkw8qb+p26n11Aruq6m1iJH6PbWGv1VIY25mkNE8PkaQhxfLIF7DZXx80HD/A3l2jLclYs061xNpWCfoB6WHJTjbH0mV35Q/lRXlC+W8cndbl9t2SfhU+Fb4UfhO+F74GWThknBZ+Em4InwjXIyd1ePnY/Psg3pb1TJNu15TMKWMtFt6ScpKL0ivSMXIn9QtDUlj0h7U7N48t3i8eC0GnMC91dX2sTivgloDTgUVeEGHLTizbf5Da9JLhkhh29QOs1luMcScmBXTIIt7xRFxSBxnuJWfuAd1I7jntkyd/pgKaIwVr3MgmDo2q8x6IdB5QH162mcX7ajtnHGN2bov71OU1+U0fqqoXLD0wX5ZM005UHmySz3qLtDqILDvIL+iH6jB9y2x83ok898GOPQX3lk3Itl0A+BrD6D7tUjWh3fis58BXDigN9yF8M5PJH4B8Gr79/F/XRm8m241mw/wvur4BGDj42bzn+Vmc+NL9L8GcMn8F1kAcXgSteGGAABAAElEQVR4Ae2dB7weRbn/55T0QkKRUKISCZgYIWDo5oaQUAQhRkPRqxSNFEHkKoqKV/8oivUqiJoociMqYlREImqooYkIKkpVpIQQIZCE9H7O/vc31znZs9m37fvuvrv7fufzOWd3Z6c8833mnWen7Gyb5zuDgwAEIAABCECgUATaC1UaCgMBCEAAAhCAgCWAgaciQAACEIAABApIAANfQKVSJAhAAAIQgAAGnjoAAQhAAAIQKCABDHwBlUqRIAABCEAAAhh46gAEIAABCECggAQw8AVUKkWCAAQgAAEIYOCpAxCAAAQgAIECEsDAF1CpFAkCEIAABCCAgacOQAACEIAABApIAANfQKVSJAhAAAIQgAAGnjoAAQhAAAIQKCABDHwBlUqRIAABCEAAAp1FQrB27Vqzfv36VIrU0dFh2trazJYtW1LJj0y2EoD9VhZpn6nOd3Z2ms2bN6eddcvnJ/Z9+vQxmzZtankWzQDQr18/s3HjxtSz7t+/vxk8eHCsfAtl4Dds2GDWrFkTC0StkbbbbjvT3t6eWn61ylcpvCqNeOXRDR061BqZFStW5FF8k2f2rrF55ZVXcslejbQMZB6/kt23b1+jur98+fJcstfDSXd3t+nq6sql/DvuuKNl34y6E9fAM0Sfy6qG0BCAAAQgAIHyBDDw5flwFwIQgAAEIJBLAhj4XKoNoSEAAQhAAALlCWDgy/PhLgQgAAEIQCCXBDDwuVQbQkMAAhCAAATKE8DAl+fDXQhAAAIQgEAuCWDgc6k2hIYABCAAAQiUJ4CBL8+HuxCAAAQgAIFcEsDA51JtCA0BCEAAAs0icPTRRzcr65ryxcDXhIvAEIAABCAAgXwQwMDnQ09ICQEIQAACTSCQl956FBoMfBQV/CAAAQhAAAI5J4CBz7kCER8CEIAABCAQRQADH0UFPwhAAAIQgEDOCWDgc65AxIcABCAAAQhEEcDAR1HBDwIQgAAEWp5AnhfYSXkY+JavwgCAAAQgAIEiEsDAF1GrlAkCEIAABFqeAAa+5asAACAAAQhAoFoCeRq2x8BXq1XCQQACEIAABHJEAAOfI2UhKgQgAAEIQKBaAhj4akkRDgIQgAAEIJAjAhj4HCkLUSEAAQhAAALVEsDAV0uKcBCAAAQgAIEcEcDA50hZiAoBCEAAAhColgAGvlpShIMABCAAAQjkiAAGPkfKQlQIQAACEGgegaOOOqp5mcfIGQMfAxpRIAABCEAAAlkngIHPuoaQDwIQgAAEIBCDQGeMOJmO0r9//1Tk6+zsNO3t7Sat/BpdKMmfZ9k7OjpyLX9e2fft2zfX9V71pq2trdE/p1TS029Wsue17qi99DzP/qUCrIGZRDEP+02aNMnceeedDcy1/qQKZ+A3bNhQP5UqUujXr59RY5FWflWIVFMQVc68yi4jo4Yur/Lnmb0qWXd3d27Z63e7adOmXBoZ1XsZyLzW+z59+ti609XVVVNblYXAUcyr9atX/sGDB8dOgiH62OiICAEIQAACEMguAQx8dnWDZBCAAAQgAIHYBDDwsdEREQIQgAAEIJBdAhj47OoGySAAAQhAAAKxCWDgY6MjIgQgAAEIQCC7BDDw2dUNkkEAAhCAAARiE8DAx0ZHRAhAAAIQgEB2CWDgs6sbJIMABCAAgRQJHH300SnmlnxWGPjkGZMDBCAAAQgUkEDWHwgw8AWsdBQJAhCAAATiEci60a6lVBj4WmgRFgIQgAAEIJATAhj4nCgKMSEAAQhAAAK1EMDA10KLsBCAAAQgAIEQgawO62PgQ4riEgIQgAAEIFAEAhj4ImiRMkAAAhCAQNUEstrjrroAVQbEwFcJimAQgAAEIACBPBHAwOdJW8gKAQhAAAIQqJIABr5KUASDAAQgAIHiESjycD0Gvnj1lRJBAAIQgEAVBOox7vXErUK0hgTBwDcEI4lAAAIQgAAEskUAA58tfSANBCAAAQikTCAPvfE4SDDwcagRBwIQgAAEck0gCaOeRJr1QMbA10OPuBCAAAQgAIGMEsDAZ1QxiAUBCEAAAukRyFrvuxElx8A3giJpQAACEIAABDJGAAOfMYUgDgQgAAEIQKARBDDwjaBIGhCAAAQg0JIEsjy0j4FvySpJoSEAAQhAoOgEOtMo4I033mhGjRplxo0bZ7N7/PHHzYIFC8yWLVvMiSeeaEaMGGGWLl1qbrjhBrN27VozadIkM378eBv2jjvuMA8//LAZOnSoOeWUU0z//v3TEJk8IAABCEAAArkmkGgPfuPGjeaaa64x999/vzXmIrVhwwYzb948c9ppp5np06eb6667zgKcO3eu0VDHzJkzzfz58826devMM888Y55++mlz7rnnmj322MPccsstuYaN8BCAAAQgAIG0CCTag1dvfMKECWb48OE95VmyZIkZOXKkGThwoP1bv369Nf6rVq2y/gqo3v7ChQvN4sWLzb777ms6OjpsOrNmzepJRyff/va3zYsvvtjjN3nyZDNx4sSe6yRP2trajP5Ujjw6ye55Xh5Ft9wl/4ABA3Irf57Zt7e3m9133z2X7PMutNpC2CevxTBjdT7//ve/V5VxOG5VkcoEUmc3rkvUwG+//fZGf0899VSPfCtWrOhlFNVIa3i+s3OrKDKaejhQ2F133dXGVTj5Bd2MGTPMpk2berzUaOoBIg03ZMgQo4Zu5cqVaWTX8Dz69etnNMKSRzdo0CDTp08fWz/yKH+e2fft29dst9125uWXX84jeiP5N2/enMuHW9V5tadptXGNVrDaeLXRXV1djU664enVw7ieuFEFqWdaeqtVjUo5AT8JGzQs+rGphx801DofPHiw7aG5sAonoxp0r3rVq4KXZtmyZWb16tW9/JK6cJVUcuXRqSeQV9m7u7uN/vIqf57ZS3Y10nllr4dyyZ7HERQ36pZX9mon9bt1bWeW2816GNcTN4qJOgRxXaJz8FFC7bLLLnboXT8wDc/rqALoyVo9dF0/99xzduGdhjqeffZZm4zm411vPipd/CAAAQhAAAIQ2Eog9R68VsNrXl7z6eptT5s2zUqj45w5c+x8/NixY82wYcPsyvknnnjCzJ4922iO/qyzztoqOWcQgAAEIAABCJQkkIqBP/7443sJoIVwhxxyiJ3D1pCZ3OjRo+2fhjc01ySneyeffLIdvlcPHwcBCEAAAhCAQHUEUjHwUaIEF9UF7zvjHvTDuAdpcA4BCEAAAhCoTCD1OfjKIhECAhCAAAQgAIF6CWDg6yVIfAhAAAIQgEAGCWDgM6gURIIABCAAAQjUSwADXy9B4kMAAhCAAAQySAADn0GlIBIEIAABCECgXgIY+HoJEh8CEIAABCCQQQIY+AwqBZEgAAEIQAAC9RLAwNdLkPgQgAAEIFB4AnvvvXfuyoiBz53KEBgCEIAABCBQmQAGvjIjQkAAAhCAQAsR0Pffi+Aw8EXQImWAAAQgAAEIhAhg4ENAuIQABCAAAQgUgQAGvghapAwQgAAEIACBEAEMfAgIlxCAAAQgAIEiEMDAF0GLlAECEIAABCAQIoCBDwHhEgIQgAAEIFAEArEM/LJly7Yp+0svvWSi/LcJiAcEIAABCEAAAokTqMnAb9iwwejv8MMPt0d3vW7dOnP++eebefPmJS4wGUAAAhCAAAQgUJlATQb+uOOOMwMGDDCPPPKIPepcf4MHDzb33nuvOfTQQyvnSAgIQAACEIAABBInUJOBv/XWW83mzZvNO9/5TnvUuf62bNliFi1aZPbaa6/EBSYDCEAAAhCAQCUC9e5GV2/8SvKlcb8mA9/W1mY6OzvNtddea4861197e03JpFEu8oAABCAAgRYhUARjnISqYlnme+65x0yePNmMGTPG6As77u93v/tdEjKSJgQgAAEIQAACNRLorDG8DX766aeb973vfXaxnXrwzu25557ulCMEIAABCEAAAk0ksNU6VymE53lm1apV5uMf/7jRkD0OAhCAAAQgAIHsEah5iF5GXfMdV199tdm0aVP2SoREEIAABCAAAZ9Aq8/N19yDV61ZvXq1mTlzprngggvMbrvt1lORvvGNb5hjjjmm57oZJ/37908lW7e4MK38Gl0oyZ9n2Ts6OnItf17Z9+3b1y6qzav8qjd5HXnUb1ay55W9FmNrBFh/Sbggl0mTJvVkEfTv8UzwJO38yhUlloG/5JJLzMUXX7xNulmYg9fmO2m4fv36GTUWaeXX6DKpEuZVdhkZNXR5lT/P7FUPu7u7c8tev1uNPCZlZBr9Ow2mp3ovufNa7/v06WPrTldXV7BYDTsvxaWUf8MyDiXU6Py0z0xcF8vAX3TRRebFF1/cJs+vfOUr5sgjj9zGHw8IQAACEIAABNIlEMvAqwfv5t911M52c+fONRMmTEhXenKDAAQgAAEIQCCSQCwDf9BBB/VKbMqUKeb55583t912m5kxY0ave1xAAAIQgAAEIJA+gZpX0UeJqHmhhQsXmpUrV0bdxg8CEIAABCAAgZQJxOrBa559yZIlVlQZd30mVgsovvWtb6UsPtlBAAIQgAAEIBBFIJaBv+yyy8zGjRt70tMX5caNG2e0yhMHAQhAAAIQgEDzCcQy8FpMp1dlNCyvRXajR4/mgzPN1yUSQAACEIBABQKttPlNrDn4J5980uy3337WsB944IFmyJAhZvbs2RWwchsCEIAABCAAgbQIxDLwZ555pjn++OPtPPzy5cvNzTffbPTq3GOPPZaW3OQDAQhAAAIQgEAZArGG6GXI58+f3zPnfthhh5kzzjjD3H333Wbs2LFlsuMWBCAAAQhAAAJpEIjVg9eCuoceeqiXfHfddZfZcccde/lxAQEIQAACEGgmgZNOOqllPzoTqwd/zjnn2C1pDz/8cPPqV7/a9uaHDRtmTjjhhGbqkbwhAAEIQKDFCYQX0bXy/iyxevDarU671h1wwAF2mF7fhr/nnnvsu/AtXrcoPgQgAAEIQCATBGL14FetWmWuv/5687nPfc5+Ue2ss86y78FrRT0OAhCAAAQgAIHmE4jVg9cqeg176F14uSOOOMKcfPLJRivqcRCAAAQgAIEkCWheHVeZQKwe/P3332+efvpp+01uZSHjrpX1N954ozn99NMr50oICEAAAhCAAAQSJRCrB68P0D/wwAO9BLvzzjvN0KFDe/lxAQEIQAACEIBAcwjEMvCXXnqpmTp1qtEq+ve85z1m5MiRdrEdq+ibo0RyhQAEINDqBMKr51udh8ofa4h+2rRp5sEHH7Qb26xdu9Yutnvta18LTwhAAAIQgECqBDDspXHHMvBKbq+99rJ/pZPmDgQgAAEIQAACzSIQa4i+WcKSLwQgAAEIRBNoxZ5sK5Y5WvvRvhj4aC74QgACEIAABHJNAAOfa/UhPAQgAAEIQCCaAAY+mgu+EIAABFqaQHj4O3zdbDhZk6fZPKLyx8BHUcEPAhCAAAQgkHMCGPicKxDxIQABCKRNgN5z2sTj5YeBj8eNWBCAAAQgAIFME8DAZ1o9CAcBCEAgHwTo1WdPT7E3uqmnKDfffLN5+OGHbRLav/7973+/Wbp0qbnhhhuMdsabNGmSGT9+vL1/xx132LAKd8opp5j+/fvXkzVxIQABCGSWgIzk/PnzmyJfM/OutsDuIWK77barNkpLh2uKgX/00UfN2Wefbfevb2trswqYO3euOf744832229vrrzySrtL3pIlS+xX684991xzzz33mFtuucWGaWmNUXgIQAACEIBAFQRSN/D6hrx66Y888ojxPM/sv//+VsxVq1bZj9boYtSoUWbhwoVm8eLFZt999zUdHR1mwoQJZtasWb2K9JOf/MT2/J2nwriev/NL6tjZ2Wk/l9unT5+kskg03fb2diNd5NGpPkj+nXfeOY/iW9nzyl7cVedhn1zVK8VWnSHV/VL3JVG5e9VIHI5f7jp8r1L+qjtq8/VXr1NaUS5KJhfO9f7ddVLHcjLEyXPTpk1xotk4qRv41atXG31uVn8vvPCCNdozZ840MpjODRw40D4ErFixwuy6667We8CAAdbPhdFRDwfr16/v8VKaSj8NJxlVydasWZNGdg3PQ4305s2bG55uGgmqLqi+pKXrRpcpz+wle5q/s1ZkX6peq86Lf6n7YlXuXjUsXfyJEyfa4O7axQ1eB8+j7js/d9TDiYx7Ix5uSz0kRMnk8k/r2GgZgrax1jJstaq1xowZXnMnF1xwgY39hje8wfz5z382GzZsMMGnFJ2rEVFDvnHjRhtWxmjIkCG9ct177717XS9btqzuCt4rwTIX+qGpwq5bt65MqOze0loGcc+jcxUe9ulrT/VGD7d5Zd+vXz/b1pQyEOkT3TbHUmz79u1r28BS95VSuXvb5rStTzh+uevwvUr5q82Uce/q6to24xp9SukvSqYak647eKNlkC2M66LHOeKmVkU8Laa75pprbMgtW7bYH9uwYcPsfLyG7qW45557zowYMcLsvvvu5tlnn7Vhn3nmmZ7efBXZEAQCEIAABApKYOXKlQUtWWOLlXoPfscddzSDBg0yV111lXn55ZfN1KlT7VC3vjE/Z84cI6M/duxYI6OvlfNPPPGEmT17ttEc/VlnndXY0pMaBCAAAQhkmoCbO2/W2wWZhlNBuNQNvOR5xzveYed/NYetYW650aNH2z8NxWsoR073Tz75ZNvL1/AUDgIQgAAEIACB6gg0xcBLNGfEw2JG+WPcw5S4hgAEIAABCJQnkPocfHlxuAsBCECguAROOumkhhbODV83NNEKibk83bFC8Fi3o9KO8ouVeAtFwsC3kLIpKgQg0LoEGv1wkUWSPAT01goGvjcPrlqIAI1BCymbokKgBQlg4FtQ6RQZAhBobQI83LaG/jHwraFnSgkBCEAgdwR4EKlPZRj4+vgRGwIQgEAuCTjj6Y65LARClyWAgS+Lh5sQgAAEikGg2t3fMPjF0LdKgYEvji4pSUwCNGgxwREtUQL11stg/OB5okKTeKYIYOAzpQ6ESZsADV/axMmvUQQaUXerTaNUuFL+jSoj6dRHAANfHz9i55BAVKMU5ZfDoiEyBJpCoJG/n0am1RQYGcoUA58hZSAKBCAAgWYQcEbVHZshA3k2ngAGvvFMSRECEICAKaKxTLNMaeZV1OqKgS+qZilXwwjQ0DQMJQmFCFC3QkC4bCgBDHxDcZJY3gnQ4OZdg8WWf9y4cVUV0NVjd6wqUsxA4TzC1zGTJVoDCGDgGwCRJIpBgIapGHosQimoi0XQYvPLgIFvvg6QICcEaHRzoqgWEzPL9TLLsrVCNcHAt4KWKSMEIAABn0AzDG4tedYSFoVWJoCBr8yIEBCAAAQaTgBj1nCkJBgigIEPAeESAhCAQNYI6GFg8uTJscQKP0iEryslWmt4l14w3kknneS8Sx6D4UsG4kZNBDDwNeEicKsTqKahanVGlB8CpQhMnTq11C38EyCAgU8AapGS5Km6SNqkLEUgkIffZB5kLEJdqFQGDHwlQi16v9wPtNy9LOKqVd5aw2exzMiUPwLUu/zpLOsSY+CzrqEmyNcKDU3cMlb7Te0mqI0sC0KgmrpZTZiC4KAYdRDAwNcBrxWjuoYlD3PR9cjoyllKx8H7wfNS4fGHQJIEkqqDSaSbRJpJss1z2hj4PGsvB7Lrx9ysH3Swt+3kaJYsOVAVItZJIKm6lVS6dRa37uhFLVfdYBqYQGcD08pEUn379k1Fjo6ODtPe3m7Syq/RhZL8kl2v3txxxx2RybsfYFQZ29ratil7ubSi0ojMtApPyT5hwoSScgflcGWoItltgiiuYxOU3527oyIGz7dJKOTh2Ie8c3HZ2dmZ+3rfp0+fxFiH60H4Oup3Ew4TFK7cvWA4dx6ss84vzWOp35vKrbrjnCuXOzr/IhyzVKatxItA1i/Dli1bUilJd3e3zSet/BpdKBkZJ7uORx55pLnlllvsMZyXDKbuhZ2LH/SvJWwwXi3n1bCXHI1wrozuqDTduTsG/arJM8i+mvBZCiPZPc/rYZAl2aqRRQ/lXV1dtgzVhC8Xxv1mgmGCdUL+wWuFHzZsWC+/cJhgWpXuhcO662Cezi8LR3F3zsnojs6/CMdGl6meB4bCGXjX+CddUdTIyaWVXyPLo6fsO++8s0d2VwZ3jMorfE/lV4MlN3/+/F5RwmF1M8qvV6QqLyT7fffdZ0MrTddjCMtQZXIVg7kyuqMiuLK4Y9CvYoJ+ALELxq0mTlbCSPa8yy/2KkMjXFiPla6j2IXjBOUqdy8YLngerKtB/2aeq9zBh25XLndspmyNzjtLZWIOvtHazXB6MobOIAbFjPIL3td5NWHCcRp9nQUZssKi0WxJDwLNIpCV33Wzyp9kvhj4JOlmKO0kf0TVpB0MEzwXovB1tdjixqs2/UrhlL+TwR0rxeF+fghE6TTKr1yJqg1fKlwp/3J5cg8CjgAG3pHgWBOB4Ar1cMQ4jZLixIkXzruZ13mXv5nsspI3OkxGE+Xai2RyJFURwMBTDxIjEKexjBNHBVC8uHETA0DCEChBgLraGww8evNo1BUGvlEkM5ROtT+WasNVU7Rq06omXDBM8LwaOQgDgTQJlKqfpfzTlC3LeTk+7phlWfMsGwY+z9qrUvZ6dnQLZlHvj7He+EFZSp2nkUepvPEvNgHqVrH1W8TSYeALotVw4xO+zmMxXRncMY9lQObWIFBPHa0nbmvQpZRxCWDg45JrQjzXELijRAieN0GkkllWkkv3K4UplfghhxxS6hb+EEiFQNy6m4pwZAKBfxPAwFMVckGABjUXakLICALU3QgoeKVCAAOfCubqM2m1xqBUeUv5V0+SkFkkkFe91it3vfGzqEtkyj4BDHz2ddRrKNs1FO7YSPGTSLOR8pFW8gQaXQcanV4tBMJ5h69rSatc2GC6wfNycbgHgTQIYODToJxwHqUaFfmXupewSCQPgVgEkqqvUelW+/uIihurcP+O1Oj06pGFuMUmgIHPiX6rbRSqDTdp0qSclBwx80qg2rqY1/KVkrtVy12KB/7NI4CBbx77kjm7BkJHd14ycOBGqbBsExmAxGlDCZSqc6X8lbm7545OoPC186/2WCp+Kf9wutWGC8fjGgJZJYCBb6Jm6m1Q6o3fxKKTdQ4IuPrljvWIrDRqTSccPnxdTh4X1h3LhdW9YDidu2t3DMaP8gve5xwCWSGAgc+KJpADAk0mEGW4nJ87pi1ipV0YmyVX2hzIDwJxCGDg41AjDgQKTKCc0dTajX322adk6cvFLRnJvxE3XjjNRqUTTpdrCOSRAAa+yVqjQWqyAsi+KQRcvXfHsBC1+ofjl7o+/PDDt7lVKq9tAuIBgZwRwMDnTGGIC4E0CNRi9CqFrfe+yltLGpXCHnXUUWkgJA8INJ1AZ9MlaFEBwo1Q+LpFsVDslAmo3s2fP7+qXJtRR0u9AdIMWaqCRCAIZIgAPfgUleEaJXd0WYev5R/l58JzhEAcAq5OuWMwjSi/4P3weVT4KL9wvGquw+mEr8NpVLofDq/rOHGi0qnVr9QDS63pEB4C1RDAwFdDqQFhmtWgNEB0kigAgaj651aoR92rtciNSKPWPAkPAQiUJ4CBL8+n4XdpCBuOlARjEqi3N9msutysfGNiJhoEmkYAA58CehqkFCCTRU0EqJM14SIwBHJJgEV2CaqNRjRBuCSdWQLU+8yqBsFajAA9+IQUTiOXEFiSrYsA9bIufESGQK4IYOBzpS6EhUDtBDDqtTMjBgSKQCDzBv6OO+4wV1xxhZkzZ47ZsGFDLpjToOZCTYkIie4TwUqiEIBADAKZNvDPPPOMefrpp825555r9thjD3PLLbfEKGK6UWjg0+VNbhCAAAQgEE0g04vsnnrqKbPvvvuajo4OM2HCBDNr1qxepfjtb39rVqxY0eO39957m9GjR/dcN+LkX//6lznhhBN6knIyHHrooUb3HnzwQbNx40az2267mbPPPrsnHCetS2CHHXYoW3jV50GDBpUNU+6m6pzqmuqifhelXLl7peLgDwEI1Eeg0u+/1tS7urpqjdITPtMGXsZ71113tcIOGDDArF27tkdwnQwfPtx0dm4tQr9+/czmzZt7han3YqeddjL33XffNskI+i677GKmTJnScy8qXM/NjJ306dOn4azSKqL0LL2H60Na+VfKp5o6WE2YUvnoodfVtXLpuDCl0onjL+4DBw40q1atihO96XEkv367nuc1XZZaBdCD4eDBg029+xfUmm+jwkt+ce/u7m5Ukqmms/3225vly5dXzLPcb7Ji5IgAbW1tEb7VeW21jtWFTzWUjLp6x3KCNmTIkF75H3zwwb2uly1bllrDI+iqsHlt6Pr375+bNQ29lOxfDB061DYSsA+TSf5a9UYPWHllL9k3bdqUSwPft2/fXD9cqVMh415PjzT5Gl46Bxn41atXp1539FAX12V6Dn733Xc3zz77rC2b5uNdbz5uYYkHAQhAAAIQaBUCmTbwb3zjG+3T9uzZs828efPMW97yllbRC+WEAAQgAAEI1EUg00P07e3t5uSTT7ZGXsNTOAhAAAIQgAAEqiOQ6R68KwLG3ZHgCAEIQAACEKiOQC4MfHVFIRQEIAABCEAAAo4ABt6R4AgBCEAAAhAoEAEMfIGUSVEgAAEIQAACjkCbv/FA/nZ8cNI38XjzzTeb9evXm2nTpjVRitbM+q677jIvvPCCXYDZmgSaV2rtLnnjjTea//qv/2qeEC2a8+LFi80PfvAD88lPfrJFCTS32BdeeKG59NJLjfaCyIujBx9TU1u2bMntTnAxi5yZaNooo9G7RWWmcBkXRBuVuM2nMi5q4cQTe23Sg0ufgPrBqvd56w9j4NOvK+QIAQhAAAIQSJwABj5xxGQAAQhAAAIQSJ8Ac/Axmb/00kt2T2V9cAaXLoGlS5faffS1lTEuXQL6wI/WP+y5557pZkxuds3Pc889Z/TVTFz6BB5++GEzduxY+w2S9HOPlyMGPh43YkEAAhCAAAQyTYAh+kyrB+EgAAEIQAAC8Qhg4ONxIxYEIAABCEAg0wQ6/p/vMi1hE4T705/+ZG666Sbz17/+1X6DXt8B1rzvtddea+6++277HuSIESOsZHfccYf90t3jjz9uXv/615vOzk7zr3/9y/zud78z99xzj42/4447NqEU+cwyir1eSfzpT39qbrvtNrN8+XIzevTokuwfeeQR86tf/cpovuxVr3qV5Z9PEulLrfndX/7yl+b++++3ryGOHDnSlGIv6ZYtW2Z++MMfmgkTJlhhS/1G0i9J/nKsl31U/PxRaI7E+sa76r3aa7Xdr3vd64w+dBbVtktC/Sa+853vmHHjxhl94965v//970b7o+grqFlx9OBDmtAiogULFpgzzjjDbqRy/fXX23cf586da44++mgzc+ZMM3/+fLNu3Tqjb9Q//fTT5txzzzV77LGHueWWW2zD+KMf/cgce+yx5j3veY+tNKEsuCxBoBT722+/3eiB6oMf/KBZsmSJeeKJJyLZ6/34X//61+b00083xxxzjDX0JbLCO4LAL37xC7tx0/vf/37zwAMP2IepKPaK+thjj5nvf//71si7pKJ+I+4ex/IE6mUfFb98jtx1BFTH1Wk4++yzrddf/vKXyPZFN7W4+sorrzQLFy7s9U687IE6FnpYyJLDwIe0oS/XnXnmmbYnrt74ypUrrSJXrVpl1KMZNGiQGTVqlFWwdvXad9997apK9WL+8Y9/mGeffda8+tWvthVEDwDvfe97QzlwWYpAKfbivP/++1vO++23n+Ucxb6jo8PqSjt+qUfTr1+/UlnhH0FAD0bDhw+3vZe2tjajOh/FXlG16YdrEF1SUb8Rd49jeQL1so+KXz5H7joChx9+uBk/fry9VI98xYoVtt6H23YFUB0/5ZRTTPjtqZ///OfmqKOOcklm5oiBD6lCCh4yZIgdhtHwo5S2YcMGa/Bd0IEDBxr1NlURdC43YMAA66cHAvVuZGT++c9/mjlz5tj7/KtMIIq9hsqCnMux1y5T++yzj1FP8re//a1505veVDlTQvQQkHGX01SI6vNrX/vaSPYKowctPew6px6MHoidc3py1xzLE6iHvVKOil8+R+46Atttt53tPDz55JPmoYceMm9+85t71XvXtiu8Xg9107Mu/h//+Eez2267mV133dV5ZeaIgY9QhbaDvOqqq2xPfdKkSbYnGNwiUueDBw+2jaDbtlNbp+rBQL1QKVvD+dqnXkM62rMeVx2BMHvF0g/McS7HftGiRbbn/rGPfcx86lOfsvNqQb1VJ0Frh/rNb35jR6fUI5SLYm9vhP5ptCTI2ukpFIzLMgTisndJhuM7f46VCahTpnn4c845x9b5YL13bXtUKnqw1bSgHm41raV1KZqLz4rDwIc0of2ev/e979ne3xFHHGHvauhXhlu9dvUSNfyrpzhttKIheTkNx+sJTsbdhVNaOldcXGUCUewVK8xZjMN+Yi/O+mHKqefvzq0H/yoSkIFYs2aNkXF3vfEwZ7GPcqV+I1Fh8duWQD3slVpU/G1zwSeKgNb0aP3UeeedZ4YNG2aDhOt9qd656v0JJ5xgR7P0ERr3O4jKpxl+W8fUmpF7BvPUEI3mHbVYQkOVcueff77tjWu4XSsotZuRKsLQoUPtgq/Zs2fbuZmzzjrL+h188MFGC+3Ue9diLykdV5lAKfZTpkwxWkSkNxg0jP/Wt77VPmjphxlmr6HKa665xo6aTJw4kYerythtCE0tafGoHly//OUvW7+3ve1tJop9qSQ1YhX+jZQKi/9WAvWyLxVfb/XgKhPQ/Lna9SuuuMIG1nqfqVOnbtO2R6WkkSv3Fonae03LasF1Vhw72dWoCQ3XyMgEnYYjw7109Ub153pCwfCcxyMQxTnKTzrSQ5V68bjGEIjiXCrlqN9IqbD4VyZQC/vKqRGiFgJ5Z4+Br0XbhIUABCAAAQjkhABdnJwoCjGbS0BP8hqCc+5nP/uZ3czIXTfzqA1m8vad6mbyIm8ItAoBDHyraJpy1kRAm+pcdtllNo52Ndx5553NcccdZ1588UXzhje8wVx66aXmox/9qDnkkEN6Vo8fdNBB5ic/+UlN+cQNrLcKPv3pTxvtsqg5QL3SdvLJJ1v5SqWp/Ru0O2M5d9FFF9k3EMqFKXfv+eefN9/85jdtEO1KWM+Xz7Rrod7H11oX/el1Jr36qNcgq3FaU6BNTOpxwXpQLp3PfOYzPfWgXDjuQSBNAhj4NGmTVy4JaIeqCy+80L4GI+P1rne9y3ziE58wX/va18xhhx1mF/+lXbALLrjAynPrrbfaNzm0uEeLg7SwUNttRjltxakFouWcyqUHl7hOCyG1Xaectuxc4O8KWa/T64/aYESvIGkB4Ic+9KGqdinUAkztR5G00w6Kn/3sZ+2am6TzIn0I1EIAA18LLcIWloCGuD/84Q/bHapkJNUTlfviF79oe4xaYaverXqV6sU799WvftWuNHfXpY533nmnefvb32573Fqd7tLQe7TaEU6vn6k3fuKJJ/Zsd6kV7FqVrs01tHPWt7/9bZu8Xs383//9X/snoy6nhZ+ST2G1Klhu8uTJVn6NPujbCKeeeqrdWln3tAWzdu/S60Aymlo1LKftZ5W2XKn8de8HP/iBGTNmjN0PQjLoHWA9WHzkIx+xRv3d73630cYh2vJZTgtOv/Wtb9kNclTWSy65pMcglsvHRv73Py1YVVj1qr/yla9Y31L8rr76avvqk5jojRbpV6MuKq/y//znPx85rVGqHigzvSstphpJeM1rXmO+/vWvWxm0s5mcdj7TdMnLL79sda03beR311132fv8g0DqBPwKjYNAyxPw95f2/OFfz/9okOcPs3v+WxHeF77wBc83IJ7fY/e+9KUvef6eBp7/MRvPb7g935B6/rCs579O2cPuwAMP9PwPEvVcuxP/ewWeP8Ts+YbT83ujnm8QPH+HRHtbefjG1fP32Pf81/68vfbay/P3YbD3fCPiHXnkkVamefPmWZn8Xf08f8rA84fbXfK9jhdffLHnfwPB+vnGzMZXXP+BwvNf3/H8VxE9v7fv+R9A8nwj7/lGy/OH+D1/iN/G8TcJ8pSGXKn8/S2ZPX8XO+/Pf/6z5z/weP7e9bY8fk/Wyu5v8mS5PPjgg7Y8Sssf+fD8qQ3P/5CNd++993r+3t8Vy+n32D2/QfRU5qDzdyn0dtppJ+tVip+/+6Tnv07p+R8F8XTuP5B4/nSBldnfeczK8oc//CGYrD0vVQ9009+9z/Mfhjx/rwDPf23T89/U8CTjK6+8YuV84YUXPP9Bxubr7yXg6dp/0Cipq20yxwMCDSZADz71RyoyzCIB9Wj9Rtl+EVA9MrfNrTbL0SuQ2npVf5p/105V2uFQvXr1YtVTLeduuOEG++Uppa8e5Oc+9zk7jK1Fexru13v7+vKdNsrQRy9c715parhc7zPr3X/1HNVLVg/RN3CRWWpDjuAQvYbyFVe9eOe0ja+2mp0+fbqVX7t3lXJR+SstfXFOaehVRA37+8bMnmv7Wo0maKfHoNOXGPWhJv8hyBx66KGWtbaCdi4qH3cvfNRohm9UbQ+8FD+9nyw5JI/ONeKg0QR9KUzrAvSNCP/BJ5y0HdmIqgcK+N3vfteO8ig9rXlQ3ZAutIOlnHrskkubzmg3RdWXd7zjHXYDrL/97W82DP8gkCYBNrpJkzZ5ZZaANjdyRl1CarOiUk7GWEPaMpAa/tViPA0Jl3L68lQwPQ2j77DDDtYQ61PCmlPWEL6Mtt4hP+CAA3qSChpmGSvd19y25qWjnPw1LOycPpAUdvoCohva171gfuGwUfnLoOnzvfrT3LjKoyH4ck4MtCDROZ27qQD5ReXjwoaP2klSw+xagKf9Dsrxc3E1F69h/W984xvOqxcD51muHsiYa/pGGyxpekNz7+Fya2pHcrldMF26v//97+13Etw1RwikQYAefBqUySPzBPQFQM2xOicjGOW0q+F9991nb6mH6A+h9/pkalQcGfFg2urtai5fO15p/l1z7/p+vb5lrx6uP0rXk4yMRdjJwGv3Mi1oCzrtxqXX94IGO2oXReWhXQOdK7eyPip/jThonl+7C6os6n0HZXbpBo9i8Oijj/Z4qbxa1e9cVD7uXvionrd7WKjEz8UVEz2ISV79adRFowphV6oeSF/qjWuNgUZItMulyhwut0ZbNNKi8rm81Hvnq5Jh0lynQQADnwZl8sg8AS3e0utX+naAepulFkbpw0GXX3657UmrN62hfS2ac057ucsYuD8tAtOHh2SMZeDU49O3DjTUL0OgleH6epVGBdT7057YSrec04OF0tBQsj8PboOqJy0joiHoGTNmlItuv5CohxS9QqY8tbCuFqeyaSph3Lhx1sDN8RcCOpk1yqCHj7ATA71CqHuKrwcRvYFQjdOwt+Loc8yaFtGoiQytXDl+kkVfIpTTNroaMXBD+1oE6BbJ+esu7MOVwpWqB9KrnEZuNJWisugrkyq3HqI0bK+yaTpHaWhBoXSt6RZNYajXj4NA2gQw8GkTJ79MEvjkJz9p51RluNQ71DvtUU6vQ2kOXh+mkEFVz1Q9O+fOPPNMO/yuIXj9aS5WvUe9s66e82v9uVsZN325Sk69X335TkP4SkfD/pXm9BXvne98p9H8+mmnnWaH9mXY9W680q60PbJGDDRULflVVpU5vNWy8ijlNO+tBwNNBehBRe/hq7eqhxl9rlejFe772i4N8ZUR1KiFern+Aj4jv2qc4oilplB+/OMf2zK6/b/L8dNwuh4EtObh2GOPtfvsi7/Kq+F1rbCX09sJeuVRrlQ9UM9erFVmyaF1DNKZHjrktLpe6yv0EKdXDSWn5NZ6A71iKS44CKRNgK1q0yZOfpkmoF6YFohFDW0HBdc71vowi3qG1ToNoSt9Gaug0zCveqJ6WIjj1LvVAq9q997Xlw81BaGeppxGLmTkFtT4zrpk1sd9wvmq56qHjaiv+WmkQSMQUffilF1xyvFTL1v5OX1qhEZOvftyrlQ9UHxNJ2gBXdjpXjBdzdlLp7VMP4TT5BoC9RDAwNdDj7gtS0DvO6unLMOaN6eetlaSa1W7DO2sWbPs0LdW2+MgAIHiEMDAF0eXlAQCVRPQ3LB2nFOPWsPLGmrHQQACxSKAgS+WPikNBCAAAQhAwBJgkR0VAQIQgAAEIFBAAhj4AiqVIkEAAhCAAAQw8NQBCEAAAhCAQAEJYOALqFSKBAEIQAACEMDAUwcgAAEIQAACBSSAgS+gUikSBCAAAQhAAANPHYAABCAAAQgUkAAGvoBKpUgQgAAEIAABDDx1AAIQgAAEIFBAAhj4AiqVIkEAAhCAAAQw8NQBCEAAAhCAQAEJYOALqFSKBAEIQAACEMDAUwcgAAEIQAACBSSAgS+gUikSBCAAAQhAAANPHYAABCAAAQgUkAAGvoBKpUgQgAAEIAABDDx1AAIQgAAEIFBAAhj4AiqVIkEAAhCAAAQw8NQBCEAAAhCAQAEJYOALqFSKBAEIQAACEOjMK4Lly5eb7u7uRMVvb283HR0dZvPmzYnmQ+KlCXR2dlo9J63r0hJwp2/fvvY34HkeMJpAoK2tzfTp08ds2rSpCbmTpQjIFuhvy5YtqQPp37+/GTx4cKx8c2vg165da7q6umIVutpIAwcONAMGDDCvvPJKtVEyF06VY8OGDZmTq1qBdtppJ7N+/XqzZs2aaqNkLlzedbDbbrtZ/nk1MHpIlGtG49yIyqgHrKFDhxp1avLq8v4bGDJkiFE9WrFiRVNUENfAM0TfFHWRKQQgAAEIQCBZAhj4ZPmSOgQgAAEIQKApBDDwTcFOphCAAAQgAIFkCWDgk+VL6hCAAAQgAIGmEMDANwU7mUIAAhCAAASSJYCBT5YvqUMAAhCAAASaQgAD3xTsZAoBCEAAAhBIlgAGPlm+pA4BCEAAAhBoCgEMfFOwkykEIAABCBSBwNFHH53ZYmDgM6saBIMABCAAAQjEJ4CBj8+OmBCAAAQgAIHMEsDAZ1Y1CAYBCEAAAhCITwADH58dMSEAAQhAAAKZJYCBz6xqEAwCEIAABCAQn0BuPxerb/Mm7ZSHvsWsb8Ln1RVBfukBHTSvBqoO5VkHrq3Iax1ycrtj82pC/Jzz3g5VsgVZ1U1uDbwqjP7ScGnlk0RZ0uSUhPxKM+9lyLv8edeB+/26Y1L1NOl08yx/0X8DWdVNbg18V1eX0V+Srru723ieZ7Zs2ZJkNomm3dnZmWv5xV96RgeJVpOyiRdBBypgXuuQG4HIq/xin/d2SLZAf6V0UMpfZW+mS36cu5mlI28IQAACEIBAixLAwLeo4ik2BCAAAQgUmwAGvtj6pXQQgAAEINCiBDDwLap4ig0BCEAAAsUmgIEvtn4pHQQgAAEItCgBDHyLKp5iQwACEIBAsQlg4IutX0oHAQhAAAItSgAD36KKp9gQgAAEIFBsAhj4YuuX0kEAAhCAQEIEjj766IRSbkyyGPjGcCQVCEAAAhCAQKYIYOAzpQ6EgQAEIAABCDSGAAa+MRxJBQIQgAAEIJApAhj4TKkDYSAAAQhAAAKNIYCBbwxHUoEABCAAAQhkigAGPlPqQBgIQAACEIBAYwhg4BvDkVQgAAEIQAACmSKAgc+UOhAGAhCAAATySCCL78Rj4PNYk5AZAhCAAAQyQyCLxl1wMPCZqSIIAgEIQAACEGgcAQx841iSEgQgAAEIQCAzBDqTlGTt2rXmhhtuMCtWrDCjR482Rx11lM3u8ccfNwsWLDBbtmwxJ554ohkxYoRZunSpDas4kyZNMuPHj09SNNKGAAQgAAEIFJpAoj34O+64w4wdO9ace+655p///Kd57rnnzIYNG8y8efPMaaedZqZPn26uu+46C3ju3LlG8xgzZ8408+fPN+vWrSs0eAoHAQhAAAL5JJDVOfcwzUR78G9961ttfq+88opZuXKlGTRokFmyZIkZOXKkGThwoP1bv3697cmvWrXK+ivCqFGjzMKFC82YMWNs/NWrVxs9LATdgQceaIYMGRL0avh5nz59TGdnpxk2bFjD004rQcnfv3//tLJreD7SQVtbm9VDwxNPKcG866C9vd3+1rq6ulIi1thsJL9cd3d3YxNOKbWOjg6jMtAOpQQ8Ipu+fftuYwui9BHlF5FcTV6e59UUPhg4UQOvjGS4f/zjH9sGQobm+eeft4bdCTFgwAA7PK9G0DkZfw3VB11UIdXwJ+2URxr5JFmOIshfhDIkqeMk03bs3THJvJJI28ntjknkkWSaTm53TDKvJNPOs/xOdncUp+C54xbl5+7FPUbZvmrT2mpVq41RY7ihQ4ea8847z865a959zz33NBs3buxJZfPmzWb48OFm06ZNPX46Hzx4cM+1eurTpk3rudbJokWL7HB/L88GX+hBQ0/OGoHIq9NDlaZF8ur04KdRnjVr1uS1CHYEJc860O9Ao2jB32ielOE6D1rzk0en3mO/fv1oh5qoPNmgsA6i7EKUX71iB21hrWklOgf/s5/9zM67SygNj0nQXXbZxSxevNjoqUQNt44Cp0qsXruuNVevhXc4CEAAAhCAAATiEUi0B3/IIYeYG2+80fZgNHTxzne+055PmDDBzJo1y/YKXM9cxzlz5tj5eC3MS2IuIx4iYkEAAhCAAASMXQiuReByeVhol6iB33333c0HPvABO7SnHrpzEydONDL+Gv52C2D0Gp3+NGSvhVU4CEAAAhCAAATiE0jUwDuxgsbd+bl5MXftjhh3R4IjBCAAAQhAID6BROfg44tFTAhAAAIQgAAE6iGAga+HHnEhAAEIQAACGSWAgc+oYhALAhCAAAQgUA8BDHw99IgLAQhAAAIQyCgBDHxGFYNYEIAABCAAgXoIYODroUdcCEAAAhCAQEYJYOAzqhjEggAEINAqBGbMmJGZouZhA5tqYWHgqyVFOAhAAAIQgECOCGDgc6QsRIUABCCQRQJF6vVmkW9cmTDwcckRDwIQgAAEIJBhAhj4DCsH0SAAAQhAAAJxCWDg45IjHgQgAAEIQCDDBDDwGVYOokEAAhBoNQLM5zdO4xj4xrEkJQhAAAIQyCGBoj5UYOBzWBkRGQIQgAAEIFCJAAa+EiHuQwACEIBAQwkUtcfcUEgNSAwD3wCIJAEBCEAAAq1BIE8PJxj41qiTlBICEIAABGokkCdjHlW0zijPPPi1t7ebtra2REV1eXR25haTURnyLL903NHRkesyoINEf6YVE1f9ybNz8mf9d1xOvqjfQDi8jOltt91mVRW+l4b+gnmGzyW//iq5YLxKYdO4X1niNKQgDwhAAAIQgAAEGkogt13T7u5u09XV1VAY4cSUh+d5ZsuWLeFbubnWE2We5Rd/6TnPZUAH2fi55LUOuZ5j1uUvJ1/UbyAqvPNzx2prjnr/8+fPrza4iQofzHPKlCk96clftkB/lVwwjUph07hPDz4NyuQBAQhAAAKpEJDx1l/Qha+D94p8joEvsnYpGwQgAAEINITAm970poakk2YiGPg0aZMXBCAAAQhAICUCGPiUQJMNBCAAAQhAIE0CGPg0aZMXBCAAAQhAICUCuV1FnxIfsoEABCAAgQQJNHsBXLPzTxCtoQefJF3ShkDBCRS5cSy46nJTPNWxqHo2Y8aM3JShWYJi4JtFnnwhAAEIQKBuAlHGv+5EQwkceuihIZ98XGLg86EnpIQABCBQeAJJGOtq0ywVrpR/HpSBgc+DlpARAhCAAAQgUCMBDHyNwAgOAQhAAALZJJDn3nYSRDHwSVAlTQhAAAIQSISAjHhcQx43XiIFSSFRDHwKkMkCAuUItFqjU44F9/JBII91thqZg2GC5/nQyrZSYuC3ZYIPBCAAAQg0kUCUcY3ya6KIucgaA58LNSEkBCAAAQgECaxevTr2UH0wnSKfs5NdkbVL2SAAAQhklAA98uQVQw8+ecbkAAEI5JgAhijHyosQvZX0GcvAL1u2bBtsL730kony3yYgHhCAAAQgAAEIJE6gJgO/YcMGo7/DDz/cHt31unXrzPnnn2/mzZuXuMBkAAEIQCBtAq3U60uabVos08onaV71pF+TgT/uuOPMgAEDzCOPPGKPOtff4MGDzb333mvyul9vPQCJCwEIQKDoBJphLJuRZ9H0WNMiu1tvvdV0dXWZU0891VxzzTU9LNrb243+wk6rHG+66SazYsUKs+uuu5pjjz3WdHZ2mscff9wsWLDAbNmyxZx44olmxIgRZunSpeaGG24wa9euNZMmTTLjx48PJ8c1BCAAAQjklIAM9vz581OVvtUfEra1ymXwt7W1WQN97bXX2qOMtf6ijLuSuf32283o0aPN2WefbVP9y1/+Yof2NZR/2mmnmenTp5vrrrvO3ps7d6595WHmzJm2EmjYHwcBCDSXQDUNZDVhmlsKcodANIGi192aevAO0T333GP++7//27z44oumu7vbeZvLL7/cHHPMMT3XmqvX8L1cnz59bE9+yZIlZuTIkWbgwIH2b/369bYnv2rVKuuvsKNGjTILFy40Y8aM0aXRSMAtt9xiz92/ww47zPTv399dJnLUw4vkHj58eCLpp5GoyqBplLw68dcDpI55ddXoIMt1rKOjwwwZMqTXbz2siyzL7zogwbYqKP+BBx5o/vjHPwa9Is+bVUbxVxmalb+DofyDrJw88pNz11OnTjUa7Q26cJjgvXLnLk0XJnzt/HUsdy8Yzp3XGt7FK3dMIs1S9bacHO5eLAN/+umnm/e9731GBlyNl3N77rmnO7XH7bbbzh6ffPJJ89BDD5kLLrjA/OMf/7CG3QWU8dHwfDAdGX8N1TunkYN+/fq5y56j53k950mdKI808kH+0gRaQQdZrmNONnd0mjrooIPcaaZ/I05ud+wROnAiA3T//fcHfLY9LRd/29CN83H5umPjUq4tJWek3TEsT/A6eB7MpZR/MEzwPBw+fB0M6+QK+pU7L5dWuXjl7iWRZrn8Kt3bap0rhfz3fRVAve2Pf/zjRoa3knvsscfMr3/9a3POOefYnqR63Rs3buyJtnnzZvvktWnTph4/nbuevzx1rgV+Qbdo0SKj3n+STg8aenLWGoK8OvHW2w55deq5S89r1qzJaxHsSFMlHWS5jqkHoVG04G80rIwsy+86D1rzU85VKkOl++XSrude3759bR1qVv6lZA/L465lI9x5OG4p/3A4dx0OH7524eIcgw+oceJHxWmkfC79oC10ftUea5qDV6Iy6pq3uPrqq8v+4BX2iSeesEPr5513nhk2bJi8zC677GIWL15sn/jVcKsyqHeuSqxeu66fe+45u/DORuAfBCAAAQhAAAI1E6i5B68c9DSvxXAact9tt916Mv3GN77Raw7+5z//uZ1fv+KKK2yY/fff3xx11FFmwoQJZtasWTadadOm2Xs6zpkzx4YfO3ZszwNBT+KcQKCABIq+yKeAKqNIEMgNgVgG/pJLLjEXX3zxNoUMz8F/6lOf2iaMPCZOnGgOOeQQO/ztFsBotb3+NGSf5wVVkQXGEwIhAjLsab8yFBKBSwhkngAPwPWpKJaBv+iii+wK+nDWX/nKV8yRRx4Z9o68dvNi4ZsY9zARriEAgawS4EEtq5pBLhGIZeDVg3cLbnTUznZ6j11D7zgIQAACEIBAEgTo0ddGteZFdkpeqw81zK6/KVOmmA996EN2m9rbbrutttwJDQEIJEqABjEe3ihuUX7xUi9+LFhlQ8exDHxYdK1818Y0K1euDN/iGgIQqJJAqUaxlH+VySYSLIsy1VvQIpapXiaNjg/jRhMtn14sA6959n322cf+vfGNb7Qr6bVJxAknnFA+N+5CAAKFJ1BvI15v/MIDznAB0V22lBNrDv6yyy7rtVmNdqMbN26cfZc9W8VD+IqkxQAAIMZJREFUGghAIA0CatiL8FZAteXImyGrtlxp1BXySI9ArB68FtPpNTd9IW7HHXe0X37TRjU4CECgsQQabUganV6wtEo7yfSDeeXhvNVYRJU3yi8PuiuKjLEMvPaW32+//ex769r/Vx+imD17dlGYUA4IpE6AhjB15CUzRBcl0VR1Qxuh4bJBIJaBP/PMM83xxx9v9GW45cuXm5tvvtno1TntO4+DAASyQQBDlQ09IAUEmkUgloGXIf/0pz9tdthhB6NPGerTrWeccYa5++67m1UO8oVA7ghkzQAH5dF58Fpww9e5A56SwHBKCTTZVCQQy8BrQZ0+/xp0d911l52PD/pxDgEIxCNQr5GoN345qZNMu1y+jbxXbRmiwkX5hWWbMWNG2Cux62rkSSxzEs40gVgGXp9+1aty+kDMBz/4QbPXXnvZVfW8JpdpXSMcBCCQIIGiGtqilivBqpCZpGMZeD2date6Aw44wL4ap2/D33PPPXwkJjNqRRAIQKASAQxXJULczzuBWAZ+1apV5vrrrzef+MQnzNe+9jWjTW7CQ/Z5B4P8EGgFAkkauSTTbgXdUEYI1EsgloHXKnptS9vd3W3zP+KII8zJJ59sV9TXKxDxIQCBxhJwhtYdw/PDzr+xucZLLUuyxCsBsSCQHQKxDLx67FdeeWXPkLyM+6mnnmpuvPHG7JQMSSCQUQJxjFicOBktPmK1CAHqbPMVHcvADx482DzwwAO9pL/zzjvN0KFDe/lxAYFWJ5DFRq7SRiRZkDlJGcIjGK1eRyl/cQnEMvCXXnqpmTp1qjn88MPNe97zHjNy5Ei72I5V9MWtKJQsHQJJGrZ0SkAuRSBAPSyCFo2JZeD1etyDDz5ojbtW0muDG+1m19kZ69s1xSBJKSDQIAL1Nq71xo8qxuTJk613tWm7cO4YlWbYr9qedTDNauMoL8ULxg3nX811vfFdHo1Kx6XHEQJRBGJbZL37rr9mOe2g19bWlmj27e3tNo88P7ioDHmWXzqWrvNchrg6CJc5fF1L5Q/HLXUd9lce9f7OwmlOmTLFvmYblj88dRCOFwwfvBc8D4Zx56o/pVy5uOXuBdMLhgueK0z4ulS8oH/43Mlfb1rl4ofz1HWl8JXuuzRb6WGmWiaOTdLH2AY+acEqpe95ntFfGi6tfJIoS5qckpBfaea9DHHlD9e78HWYt6bNSrlwXF0Hw7v77lgqnTj+UWm6/G+99daSSUbFc4GD94Ln7n7wWO5+3Hul0g+nF74uFS/oX+q83rTKxY/Ks1L4Svej0iy6X9aY5NbA6xW9rq6uROuL8pDCks4nyUIUQf40dJ1FHYTrXfi6FpnDcUtdB42+S7/eRiucl9J1fu7o8goeJUupb8wH45ULp/TKjUAE0wnmrfNy94Jhg+HC/IL3gnHipF9vWqXiux62WOvcMS8V3pWj0n0XrpWOWWMSaw6+lRRGWSGQBwKukc6DrGnJWC+TeuOnVc568qm3jPXGr0d24lYmgIGvzIgQEMgEAdeY6uj+JFgtC80yUZCEhHB8Ekq+4ckmKW89adcTt+GQSLAuAhj4uvARGQK1Eail8awlbG1SbBs6zby2zT2+T3hhXjilvJYrXA6uIRCHAAY+DjXiQKAMgSwalSzKVAZhYW7lnXve5S9MRYpZEAx8THBEgwAEkicgAxNlZKL8ykmjV/Ocq9Trd+GyfqyVQa3lSTr9WuUhfO0EMPC1MyMGBCDQQALVGpJy4crda6CohU4KhsVTLwa+eDqlRAkSCDaCwfMEsyTpBAmgwwThknTTCWDgm64CBGgVAkkYkyTSDOtj3LhxYa+mXadR3kYXLo8yN5oB6TWHAAa+OdzJNQcE8tIwZ31OOS8c41ZJlS9cxqzrJG5ZiZcvAhj4fOkLaTNMINzIJyFqGnkkITdp/t/HbuAAgTQJYODTpE1eLUUAY1xa3UmxSSrd0iWp/U4jZGxEGrVLToy8EcDA501jLSpvVIMW5VcvnnCa4et60yc+BBpJgPrZSJrFSwsDXzydtnSJmt3glcq/lH9LK6uFCo/+W0jZGSoqBj5DykCUxhFIokEtlWYp/8aVhpSiCFTLPbjJTVQ6reRXLbNWYlLksmLgi6xdytYwAkVrGLNSHieHOzZMYS2YUK0Maw3fgkhzX2QMfO5VSAHiEOALbHGo5SdOKxuvUmUv5Z8frSJprQQw8LUSI3wqBGppjGoJW43wjU6vmjwJA4E0CVDH06TdvLww8M1jT84NJJC1Bitr8jQQdeaTyhP7RsnaqHQyr1wErIkABr4mXASGwP8RoEFNtybAeyvvWlnUGn5rTpzlnQAGPu8aRP66CND41YWv5sjwrhlZTRHCfMPXSizKr6ZMCJwbAp1pSHrjjTeaUaNGGffRiscff9wsWLDAbNmyxZx44olmxIgRZunSpeaGG24wa9euNZMmTTLjx49PQzTyyBABNTzz589vmkTVNnzVhmtaQcg4swSoO5lVTSEFS7QHv3HjRnPNNdeY+++/3xpzEdywYYOZN2+eOe2008z06dPNddddZ8HOnTvXPlnOnDnTNvLr1q0rJHAK1ZtAIxu8qLScn47u3EkQvnb+HCEAAQgUgUCiPXj1xidMmGCGDx/ew2rJkiVm5MiRZuDAgfZv/fr11vivWrXK+iugevsLFy40Y8aMsfF0L9yz+4//+A8zYMCAnnSTOOns7DR9+vQx22+/fRLJp5JmR0eH5ZxKZjEzCfINn/ft29e0t//fc6juHXDAAeaBBx7oySkY3nk6v/BR951f8Gtf8lO6QefCBeME77tzF84dnX/wOGTIkOBlS56X49OSQAKFrsRG9V9/eiAN1v1AEpGnldKNjFSDZ9Lp1yBKZoImwaS7uzt2+RI18Cqs/p566qkeAVesWNHL4MhIa3hextQ5GX89HDgnIxVuJD3PM11dXS5IIkf9qNLIJxHh/51oW1tb4pzqlT+ox/C5+LsK7oxwMIzzC8rg7rt77lphgucujgvnrsPhouK4sO5eVBouzP777+9OW/boOLUsgDIFr4VNLWHL1cky4lR9qxZZqk405wGzxmSrVU0JbP/+/Y2G7p3bvHmz7eFv2rTJeRmdDx48uOd60KBB5phjjum51smiRYvscH8vzwZf6EFDDxcrV65scMrpJSfemhbJmlNvxI3KBPmGz9WD1yhP0AXDBP3defh+8Dp47sJHHYPhDj744Kgg1i8YrmQgbuT6N5S0+irVIf0G3GhlubqYtJzh9CvJHQ7fCtdJMAnawloZJjoHHyXMLrvsYhYvXmx7xmq41UPr16+fUSVWr13Xzz33nF14FxUfv/wRaPRct9Irl2a5e9XSqzaNasNVmy/hIJAXAtT97Gsq9R780KFD7bz8rFmzjOZBp02bZinpOGfOHDsfP3bsWDNs2LDs00PCXBCgIcqFmhASAhBoMIFUDPzxxx/fS+yJEyeaQw45xC4ccQuoRo8ebfSnIXstbMO1LgH2iW9d3VNyCECgcQRSH6J3omtRnTPuzk9HjHuQBucQgEArEYgabZo8eXIrIaCsDSTQNAPfwDKQFAQgAAEIQAACIQIY+BAQLpMhENUzqZSTi3PYYYdVCsp9COSagKvrrhDu2h3dLqDuPkcIVEMAA18NJcLUTMA1TOUiBsMEz8vF4R4EWoUAv4lW0XRy5cTAJ8eWlEMEstBgZUGGEBYuIQABCCRCAAOfCFYShQAEIAABCDSXAAa+ufwLmbvrJbtjIQtJoSAAAQhknAAGPuMKypt4YaMevlZ5wn7h6+CHYPJWfuSFAAQgkBUCGPisaAI5UiMQfqBILeMWzwju1VUAOFXHiVCVCWDgKzMiRAUCapCqbZQqhat0v4Io3IZA7ghQ53OnstwIjIHPjaqyL2gSDRWfWs2+3pGwMQSS+P00RjJSySsBDHxeNYfcEIAABCAAgTIEMPBl4HCrNAF6G6XZcAcCEIBAFghg4LOghQzLUMmQV7qf4aIhGgQgAIFCE8DAF1q9FA4CEIAABFqVAAa+VTUfKHetvfBawwey4rRFCVBnWlTxFLupBDDwTcWfv8xpqPOnMySGAARakwAGvjX1vk2pMdzbIMEDAhCAQK4JYOBzrT6EhwAEIAABCEQT6Iz2zr5vR0eHaW9P9vnE5dGnT5/sAykhoRhVK3+pcPI/4ogjzO23394rF3r9vXBwAQEItDiBUm1os7Dk1sB7nme6u7sT5aY80sgnyUKUk3/q1Knm1ltv7clePMN+uinjLpc0b5sJ/yAAAQjklEDW2sjcGniB7OrqSrQaKA8ZyKTzSbIQleQPls2d66je+fz583uJNn369F7XXEAAAhCAwFYCrg3d6tPcs2THuJtbNnIvQyBqeD3Kr0wS3IIABCAAgQwTwMBnWDmIBgEIQAACEIhLAAMflxzxIAABCEAAAhkmgIHPsHKSEK2aYfhqwiQhG2lCAAIQgEDjCGDgG8cysymFDXb4ulrBV69eXW1QwkEAAhCAQJMJYOCbrIAsZx/3QSDLZUI2CEAAAq1CAAPfKpr2yxllsKP8WggJRYUABCBQWAIY+IKqFsNdUMVSLAhAILMEstbuYuAzW1UaK1jWKl5jS0dqEIAABCAQJoCBDxPhGgIQgAAEIFAAAhj4AiiRIkAAAhCAAATCBDDwYSI5vWYIPqeKQ2wIQAACCRHI7cdmEuKRu2Rl2IMfhQka+uB57gqGwBCAAAQgUBcBevB14ctGZAx5NvSAFBCAAASyRAADnyVt1CkLhr5OgESHAAQgUCACGPiMK7Oc0S53L+PFQjwIQAACEEiYAAY+YcAkDwEIQAACEGgGAQx8M6jHyDPYW9d58DpGckSBAAQgAIGCE8DA50jBGPUcKQtRIQABCDSZAAY+RQWUMtDO3x2dSO7aHeUfPHfhOEIAAhCAAATCBDJj4JcuXWquuuoqc/nll5uHHnooLGcq16WMZyn/aoQqFdf5u6NLS9czZsxwlxwhAAEIQAACsQhkZqObuXPnmuOPP95sv/325sorrzR77bWXGThwYKxCNSuSjHPUpjNRRjwsYzDM6tWr6amHAXENAQhAAAI1EciMgV+1apUZOXKkFX7UqFFm4cKFZsyYMfZa92666aZeBZsyZYoZMGBAL79GXOywww5mwoQJ5sEHH7THRx991CYrfzl3L3guP+eChtr5BY8uHfkFz4NhOIcABCAAgXwSaHS73tXVFRtEm+e72LEbFHHdunXm29/+trnwwgttijLmO++8szWm8li7dq35/e9/3yu3cePGmX79+vXya/RFnz59TP/+/Y161Hl1KsPmzZvzKr4ZNGiQ2bJli9m4cWNuy5B3HWy33XZmzZo1pp6GppnKa2//v5nI7u7uZooRO++Ojg4zePBgs3LlythpNDti3n8DsjWdnZ3WFqXNsq2tzQwfPjxWtpnowQvepk2begqgc1Vo59TIH3nkke7SHhctWpR4o68pAilVIwh5dXpA2bBhQ17Ftw9x69evtwYmr4XIuw6GDBliG7bgbzRPutBvWE4Pinl0ffv2tdOVtEPN055+A7JTzdBB0BbWSiATi+z0hKpKrJ66BhSee+45M2LEiFrLQngIQAACEIAABP5NIBM9eMkybdo0M2fOHPuUPXbsWDNs2DCUBAEIQAACEIBATAKZMfCjR482+tN8seZrcBCAAAQgAAEIxCeQiSH6oPgY9yANziEAAQhAAALxCGTOwMcrBrEgAAEIQAACEAgSwMAHaXAOAQhAAAIQKAgBDHxBFEkxIAABCEAAAkECmdjoJihQls4feeQRc88995izzz47S2K1lCw//OEP7eLLgw8+uKXKnaXCfuELXzCnnXaa2W233bIkVsvIoj0/rr32WnPRRRe1TJmzVtB7773X7q76rne9K2uilZWHHnwZPNq5K6+be5QpVq5u6a2KvO6glivQZYTVbyCvu8CVKVZubol9nndyzA3oMoKqDcrjjqAY+DJK5RYEIAABCEAgrwQw8HnVHHJDAAIQgAAEyhBgDr4MHO07vGzZMrPHHnuUCcWtJAlo22LtxazPCOOaQ+Dvf/+7efWrX53I1xubU6J85aqPcT3//PP2E9r5krw40soOSA/ui6d5KRkGPi+aQk4IQAACEIBADQQYoq8BFkEhAAEIQAACeSGAgc+LppATAhCAAAQgUAOBjv/nuxrCFyao5nZ/+ctfmvvvv9++/qC5FX0v+qc//am57bbbzPLly+371yrwHXfcYebNm2cef/xx8/rXv95+I3716tU2nMJqbuY1r3lNYdikVZDf/OY3luGTTz5p37EeMGCAWbp0qX3n9+677zb6jro+G1xKL2J/8803m6efftquk+A7BrVpTnVYvwHt9fCvf/3LvO51rzPt7e22nv/85z83f/jDH2y9dt+jlh6+853vmHHjxvV8ECrqt1GbFK0dupZ2SKQ0F6y9ISZMmGDBRcVvbaK1l/5Pf/qTuemmm8xf//pXo+++a71PqTZHqT/88MPmj3/8o9l77717MtOrjN/73vfMrrvuatPoudHkk5btwf/iF7+wn6h9//vfbx544AFr0G+//XZrUD74wQ+aJUuWmCeeeMI888wz1oCce+651ojccsstVmV6EJCxP/PMM+39NWvWNFmV+cr+scceM1rEqE2Exo8fb373u9/ZAsydO9ccffTRZubMmWb+/Pn24SlKLy+88IL55z//aePrR6WNKHC1ERBXfcHRbeT0l7/8xWzYsME+zGpjm+nTp5vrrrvOJvrSSy+ZK6+80m724Xme9Sv126hNitYOXW07JEr6zXz/+9+3Rt5Ri4rv7nGsTGDt2rVmwYIF5owzzjAnn3yyuf76643qd1Sbo9TU/ou5fidBp/DPPvusfTAI+jf7vGUN/Omnn26GDx9ueyxtbW3W2Dz11FNm//33Nx0dHWa//fYz//jHP4z89t13X+unp2b56WlNDwDqMf75z3822t3I9XKardC85K83E6ZNm2bFFceVK1facxl9jaYMGjTIjBo1yhqUKL10dnYaPVRJD+p9qrePq43A4Ycfbh+uFEs6WLFiheUp/gMHDjS77767Wb9+vW20pJdTTjnF7LLLLj2ZRP02em5yUhWBatshJabNbtzDmEs8Kr67x7Eygb59+9pOmtoT/akdkoGPanOUmtqlk046qVfCesPhxRdfzORbDi1r4GXc5TTMq6Hh1772tbaBU8Mmp6Oe7tToOT+Fk5+GNvWnYWQZma997WvstmapVf9PLPUnvhoOPvbYY21vXT8y56J04Pz0QKU/jaTooWuvvfZy0ThWSWC77bazD66aInnooYfMm9/85l71Xcm4Or/nnnva0a1g0lG/jeB9zisTqLYdUkrqdMjABF1U/OB9zssT0IOthuU1JK+pj6OOOsp2+oJ127U5SunQQw+1912q2t3uV7/6lXn729/uvDJ13NqaZkqsdITRHLCevPQULKfGTE/JUrq255QB0Zyk2yZSylRl0FOfnvI0pKPevoYv9a7w2LFjbTr8q46A5tuvuuoqM2PGDDvXG94a2OkgSi+///3vbQ//yCOPNBqu/8lPfmIuuOCC6jImVA8BDfv++te/Nuecc46t/xoJcfVdgVTnw0bFRXZ6ceH028DVTqCadqhcquH45cJyb1sCameuvvpq20mYNGmSDeDqdtAWbBvT2DVAegB48MEHrR3QiO5OO+2UmRHFlu3B60eh3reMu+s1akhS8yhyml/UxzXCfprvlfKHDh3aMw+jYR2GiC22qv+JmeYT3/3udxv1DuX0sKSHJ42S6AFKC4i0yC6sA+mlX79+Vg+Kpx+h4uFqI6A1JppTPO+888ywYcNsZA3BL1682PLX8Lz04H4f4dTDetFvA1cbgWrboVKpRsUvFRb/bQm4xXFvetObzBFHHNETIFy3S31oSZ26N77xjXaUV78T2QFN+WbFteRGNzIun/70p63xcMp429veZnbeeWe7gEK9FhmN973vfbaB+9nPfmaHLjUPedZZZ1njrgVe9913n31IUOOo+UmXVlaUm2U5NLSuYWENE8vtuOOOdmGdhou1Ml5DZvrxqIf+yiuvbKMXPXWr164RFhkiDa2x42BtGr/00kstZ/dwqvUn4qipJ31JUdNQWicRXC389a9/3c5ZqlevxjHqt1GbFK0bupZ2yLUtGuX60pe+ZD75yU/a+eKodkyLf3HVEVCP+0c/+pF51ate1RPh/PPPt6NYWkwXtAVOB3ow1kr6E088sSeOTubMmWOmTJmSqd3uWtLA99JKxIWMR7hHGOWnqKX8I5LFqwYC7ocVjBLFOsovGIfzeAT0gKWHJ/1VcuigEqF49+Eaj1sjY+VdBxj4RtYG0oIABCAAAQhkhEDlx/OMCIoYECgaAfUOtEDTOQ13u/0AnF/wqKkIxcFBAAIQqIYABr4aSoSBQAMIaAOlyy67zKaknbO05uO4446zb3K84Q1vMJoT/+hHP2oOOeSQXoZcG/4cdthhdk2C5le1Ac2jjz5q09EGP/vss08DpCufhOblNUcvN2vWLLvwTgtN9af1E3pNSDs9VuM+85nP9CpfNXHCYbT4Uu8ql3N6P/mb3/xmuSDcg0ChCWDgC61eCpdVAnp39sILL7S7KMoIabOkT3ziE3ZPBRlzGVS5G264wZx66ql2Fzm92SGjpp3+3vGOd9gFns0qn1Yca9Gp/hYuXGiN/1ve8pZeIxJRsmmR2Gc/+1m7QC/qfiP9xFALNnEQaFUCGPhW1TzlTpyAXjH78Ic/bHd/mzhxov2mtzL94he/aLQl7xVXXGEuuugiu02y9mNw7qtf/apdjavr2bNnW4OoTU7ktJJXu5kpDS2ECzqtav/Wt75lN0TRaz2XXHJJjyHVJh76pvsOO+xgV//qzQS5l19+2fa+9SaIdmy86667epLUtp16BUibQGnP+lJOK+o/9alP2Z0h9WaDnN6vnzx5sn1LQt9p0Op7Ob1tIqe8tA9CufxtwH//0yuTeoDQaMGHPvShnnLp9g9+8AMzZswYu2+FRhm09bR2N/zIRz5iFvjbkOpVTLk777zT5quyasRB+eMgUGgCfiOEgwAEEiDg793u+e/Xev7QtecbPs9/M8P7whe+4PkfJ/L8Hrvnv+7k+e/8e/4raZ5vdDx/PwDPH772/NfTeqTxDZrnf9ii5zp84n8oxvONsPX2RwI8f6jf8z+g5PlD956/z7znfwDD8+fuPX/TJs/fa97zDbvnG0orhyK99a1v9fy9IDx/syDP3+zD87cHtmn5IwWe/zDg+Ybd+9vf/ub50wCe/5Bh7/kfnPH81xftefCfv5+394EPfMB6KeyXv/xlz99rwvNfN/L8PQ48/0MpNn+/QbX5+Q8kJfMPpqvz//iP//D8KQ7PH3b3/O8/aDN8z39V1fN3MfT8BwzPf93J8z8Q5fnflvD8V/08f6TAlt0f7bA8/bUOnr8Rj+c/6Hi+8bdl9h++wtlwDYFCEaAHX+jHNwrXTALqAWsjJc2bq+eqzTTktFGSXsPUDlj60/y7dkLULlrq1as3qv0AtKBOPW3Nc1fjrr32WruXwIEHHmi31FTe6rmr16/evT6IoV3qNOyv6QB9MVEbpXzsYx+zcmjYX5vV+AbdboAjubQ/hHrx+hhHJadNcpSm3He/+107eqENiTQCoDKrt+52u1MvWmUrlX8wL6WpkYWLL77Ybj6ld7+d0zoGfRFSIxx6pU97J2hnQ51rZEH7WWhHSulC5TnhhBOsv9JS3jgIFJkABr7I2qVsTSWg+XJn1CXIwQcfXFIebbQxdepUa5C1J7wW4+khQF9706ZKYSc/7RUQdJoL1wI953SuoWoZWU0JaChbQ/da2KcHCi1Ck/HXfLo2s9Gf0tU2wDoGZT/ooINcsiWPixYtsrsOKoCMuaYlVC6tNdDcux4ygq5c/sFwkkU7i8mYy6kMbmcxPTBo0yTJrgcpbU4SzkdxlJc2J3HllGzab1y79uEgUFQCGPiiapZyNZ2A5rw1F+2cvlsf5bRzlnZFlFOPU7v36bvfcuqZhl+d0w5o+rKh5pSDTvPTbnW9/GXQ9EU+GTzNTet71/rTiIA+fyyDqJ0EFU69Xv2p9/7e977XztcHZdcCv3JOr/DdeuutduRAPW6NBmgOXA8Y+qCTP+5p/4JplMs/GE4clY4Mspy2MnavF15zzTX2Y0Uy7JJfbyEor7BzoxqunDrqO+BsrxsmxXWRCGDgi6RNypIpAtq2Uj1nGST1roML2IKCyjhefvnltkeuXrmGkzU0Lve5z33O9uq1DaaG19Xj1CIzGSz1+INOq+u1yE0PADKyeq9eK/K1mGzcuHG2F6thai1Wk9MIgWTUwjw9BGihn4a4tRWnpgv+8Ic/2C/16dvXKkfQSU7loZ66tvvU9+M17K4hcH3jQU7yaRtcyaQ0FEffG9CIgmQsl7/iL/AXyEl2vRKnhwGNQMjpG/Vu9EIyaJRD5ZNhFyd3T0P0ykdOsmgoX9+8l9P2pMccc0xkb98G4B8EikCgUCsKKAwEMkTAn0P3/L3cPX9u2v75BqVncZs/P+5pUZycFn2NHz/e83vWnj+k7fnG0vMNU09JbrzxRs8f3rcL8fzPg3r/+Z//aReXKUBwkZ0W0PnD757C+F+0suF8Y2fT+Z//+R/PX83u+Qbc83vEPQv3tDhNi/Hk5+/l7/mr83vylXxaaOcPh3v+lxN7LbLz2z670M0f4rd5+V8E9PyHmJ64/kp/m58/cuD5q9it/P5Dgr0vDv6HOeziwnL5+0Pynr9fgI2jhYive93rPP9b9Z4/hWHl9YfuPf+hxFMeWgTor13wPv/5z9sFhVq86I86WPn9Ffs2DS161II8/9PCnvy0EBEHgSITYKvaIjylUYZME1AvUgu91Hst5/RKnHqr+sBLlFPPWEP46gGXc3o3XeG0sC3s1OPW5yzDTv4a4tecfNCpN6zet1scF7xX6VwjF0pPCwnDTvfUw3auVP7uvjtq6kKv+oWd/PVt9PDe+RqZ0MiHY6G1ABrqj0ojnCbXEMg7AQx83jWI/IUhoOFofXJSQ904CEAAAvUSwMDXS5D4EIAABCAAgQwSYJFdBpWCSBCAAAQgAIF6CWDg6yVIfAhAAAIQgEAGCWDgM6gURIIABCAAAQjUSwADXy9B4kMAAhCAAAQySAADn0GlIBIEIAABCECgXgIY+HoJEh8CEIAABCCQQQIY+AwqBZEgAAEIQAAC9RL4/++KRNeQBozIAAAAAElFTkSuQmCC" alt="plot of chunk LoanDate_hist"/> </p> | |
| <p>The time series plot shows the number of loans increases since 2006 and stumbled to 0 since end of 2008 (due to the finacial crisis). It recovers to increase since the end of 2009 and had a significant jump at the beginning of 2013. </p> | |
| <h3>Loan Status</h3> | |
| <p>Finally, let's check the loan status and how the distribution is like.</p> | |
| <p><img src="data:image/png;base64,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" alt="plot of chunk loan_status_hist"/> </p> | |
| <pre><code>## Source: local data frame [12 x 3] | |
| ## | |
| ## LoanStatus NumOfLoans NumOfLoans.percent | |
| ## 1 Current 56576 0.4965551138 | |
| ## 2 Completed 38074 0.3341671274 | |
| ## 3 Chargedoff 11992 0.1052511476 | |
| ## 4 Defaulted 5018 0.0440418828 | |
| ## 5 Past Due (1-15 days) 806 0.0070740848 | |
| ## 6 Past Due (31-60 days) 363 0.0031859712 | |
| ## 7 Past Due (61-90 days) 313 0.0027471322 | |
| ## 8 Past Due (91-120 days) 304 0.0026681412 | |
| ## 9 Past Due (16-30 days) 265 0.0023258467 | |
| ## 10 FinalPaymentInProgress 205 0.0017992399 | |
| ## 11 Past Due (>120 days) 16 0.0001404285 | |
| ## 12 Cancelled 5 0.0000438839 | |
| </code></pre> | |
| <p>The majority of the loans are Current (50%) and 33% are completed. There are 4.4% of defaulted loans and 10.5% of charged-off loans. </p> | |
| <h1>Univariate Analysis</h1> | |
| <h3>What is the structure of your dataset?</h3> | |
| <p>The dataset contains total 113,937 observations with 81 variables. </p> | |
| <ul> | |
| <li>There are 20 factor variables, 20 integer variables and 31 numerical variables. </li> | |
| <li>There are 6 identifier variables: ListingKey, ListingNumber, LoanKey, GroupKey, LoanNumber, MemberKey. </li> | |
| <li>There are 4 are date variables out of factor variables: ListingCreationDate, ClosedDate, DateCreditPulled, FirstRecordedCreditLine. </li> | |
| </ul> | |
| <p>Interesting categorical variables: </p> | |
| <ul> | |
| <li>IncomeRange: $0, $1-24,999, $25,000-49,999, $50,000-74,999, $75,000-99,999, $100,000+, Not employed, Not displayed.</li> | |
| <li>EmploymentStatus: Employed, Full-time, Not available, Not employed, Other, Part-time, Retired, Self-employed</li> | |
| <li>LoanStatus: Cancelled, Chargedoff, Completed, Current, Defaulted, FinalPaymentInProgress, Past, Due, (>120, days), Past, Due, (1-15, days), Past, Due, (16-30, days), Past, Due, (31-60, days), Past, Due, (61-90, days), Past, Due, (91-120, days)</li> | |
| </ul> | |
| <h3>What is/are the main feature(s) of interest in your dataset?</h3> | |
| <p>The most interesting feature is ProsperScore, EstimatedReturn, BorrowerAPR, LoanOriginalAmount because I'd like to create a preditive model that predicts the ProsperScore that informs the lender on a loan decision. I believe EstimatedReturn, BorrowerAPR, LoanOriginalAmount can be important indicators of the ProsperScore.</p> | |
| <h3>What other features in the dataset do you think will help support your investigation into your feature(s) of interest?</h3> | |
| <p>I think three categories of variables will help predict the model I would like to create. </p> | |
| <ul> | |
| <li>Income: IncomeRange, DebtToIncomeRatio, StatedMonthlyIncome</li> | |
| <li>Employment: EmploymentStatus, Occupation</li> | |
| <li>Interest and Return: BorrowerAPR, LenderYield, EstimatedEffectiveYield, EstimatedLoss, EstimatedReturn</li> | |
| <li>Credit History: TotalProsperLoans, TotalProsperPaymentsBilled, CreditScoreRangeLower, CreditScoreRangeUpper, CurrentCreditLines, OpenCreditLines, TotalCreditLinespast7years, OpenRevolvingAccounts, OpenRevolvingMonthlyPayment, CurrentDelinquencies, AmountDelinquent, DelinquenciesLast7Years</li> | |
| </ul> | |
| <h3>Did you create any new variables from existing variables in the dataset?</h3> | |
| <p>I created 4 new variables which converts the factor variables relating to date (ListingCreationDate, ClosedDate, DateCreditPulled, FirstRecordedCreditLine) into Date type. I created them due to the need to draw the time series plot of LoanOriginationDate.</p> | |
| <h3>Of the features you investigated, were there any unusual distributions? Did you perform any operations on the data to tidy, adjust, or change the form of the data? If so, why did you do this?</h3> | |
| <p>In the historgram of TotalProsperLoans, I adjusted the Y Axis to log scale. This allows the negative exponential relationship to be better presented. StatedMonthlyIncome histogram's X Axis was adjusted to log scale in order to present its normal distribution. </p> | |
| <p>I also adjusted the bin width for a few histograms including LoanOriginalAmount, EstimatedReturn, EstimatedLoss, BorrowerAPR. I did so because default binwidth from qplot is too large so that some of the finer patterns (such as spikes over times of 5000 of LoanOriginalAmount).</p> | |
| <h1>Bivariate Plots Section</h1> | |
| <h2>Correlaion Matrix</h2> | |
| <p>To find out the correlation with most important variables of interests, I am going to create a correlation matrix plot first. </p> | |
| <pre><code>## quartz_off_screen | |
| ## 2 | |
| </code></pre> | |
| <p>The correlation matrix shows that <em>ProsperScore</em> has strong negative correlation with <em>BorrowerAPR</em> (-0.67), <em>LenderYield</em> (-0.65), <em>EstimatedEffectiveYield</em> (-0.63), <em>EstimatedLoss</em> (-0.67) and some negative correlation with <em>EstimatedReturn</em> (-0.38). <em>BorrowerAPR</em> and <em>LenderYield</em> are correlated with each other (corr.: 0.99). <em>ProsperScore</em> has strong positive correlation with <em>CreditScoreRangeLower</em> (0.37) and <em>CreditScoreRangeUpper</em> (0.37) (these two are correlated with each other with correlation at 1). <em>ProsperScore</em> also has some correlation with <em>DebtToIncomeRatio</em> (-0.13) and <em>StatedMonthlyIncome</em> (0.08). </p> | |
| <h2>Prosper Score vs Interested Related Variables</h2> | |
| <p>We should closely look at the relationship of ProsperScore and the interest-related variables (Borrower APR, Lender Yield, Estimated Effective Yield, Estimated Loss, Estimated Return). </p> | |
| <p>A quick preview of these correlation is plotted as below. </p> | |
| <p><img src="data:image/png;base64,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kykyannn
commented
Dec 30, 2021
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