setwd("D:/Users/hpeng/Desktop/Math4826")
library(R.matlab)
## Warning: package 'R.matlab' was built under R version 4.0.3
## R.matlab v3.6.2 (2018-09-26) successfully loaded. See ?R.matlab for help.
##
## Attaching package: 'R.matlab'
## The following objects are masked from 'package:base':
##
## getOption, isOpen
library(tidyverse)
## Warning: package 'tidyverse' was built under R version 4.0.3
## -- Attaching packages --------------------------------------- tidyverse 1.3.0 --
## v ggplot2 3.3.3 v purrr 0.3.4
## v tibble 3.0.4 v dplyr 1.0.4
## v tidyr 1.1.2 v stringr 1.4.0
## v readr 1.4.0 v forcats 0.5.0
## Warning: package 'ggplot2' was built under R version 4.0.3
## Warning: package 'tibble' was built under R version 4.0.3
## Warning: package 'tidyr' was built under R version 4.0.3
## Warning: package 'readr' was built under R version 4.0.3
## Warning: package 'purrr' was built under R version 4.0.3
## Warning: package 'forcats' was built under R version 4.0.3
## -- Conflicts ------------------------------------------ tidyverse_conflicts() --
## x dplyr::filter() masks stats::filter()
## x dplyr::lag() masks stats::lag()
library(fpp2)
## Warning: package 'fpp2' was built under R version 4.0.3
## Registered S3 method overwritten by 'quantmod':
## method from
## as.zoo.data.frame zoo
## -- Attaching packages ---------------------------------------------- fpp2 2.4 --
## v forecast 8.13 v expsmooth 2.3
## v fma 2.4
## Warning: package 'forecast' was built under R version 4.0.3
## Warning: package 'fma' was built under R version 4.0.3
## Warning: package 'expsmooth' was built under R version 4.0.3
##
Example: Quarterly Iowa Nonfarm Income, in Lecture Note 3
iowa <- readMat("Iowa_income.mat")
iowa.ts <- 100*diff(log(ts(iowa$Iowa.Income)))
plot(iowa.ts)
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAABUAAAAPACAMAAADDuCPrAAAA0lBMVEUAAAAAADoAAGYAOjoAOmYAOpAAZrY6AAA6OgA6Ojo6OmY6OpA6ZmY6ZpA6ZrY6kNtmAABmADpmOgBmOjpmZjpmZmZmZpBmkLZmkNtmtttmtv+QOgCQOjqQZgCQZjqQZmaQZpCQkDqQkJCQkLaQtraQttuQtv+Q29uQ2/+2ZgC2Zjq2kDq2kGa2kLa2tpC2tra2ttu227a229u22/+2///bkDrbkGbbtmbbtpDbtrbb27bb29vb2//b/9vb////tmb/25D/27b/29v//7b//9v///+CZEHHAAAACXBIWXMAAB2HAAAdhwGP5fFlAAAgAElEQVR4nO3dfWPdtpWgccq1oyTTNN60bhp7J52dnXRiN7PuJlGdSbKWHet+/6+0l/eVLwB4cAiQB+Dz+6OVKBKAKPLJlXR13ewAACrN2gsAgFIRUABQIqAAoERAAUCJgAKAEgEFACUCCgBKBBQAlAgoACgRUABQIqAAoERAAUCJgAKAEgEFACUCCgBKBBQAlAgoACgRUABQIqAAoERAAUCJgAKAEgEFACUCCgBKBBQAlAgoACgRUABQIqAAoERAAUCJgAKAEgEFACUCCgBKBBQAlAgoACgRUABQIqAAoERAAUCJgAKAEgEFACUCCgBKBBQAlAgoACgRUABQIqAAoERAAUCJgAKAEgEFACUCCgBKBBQAlAgoACgRUABQIqAAoERAAUCJgAKAEgEFACUCCgBKBBQAlAgoACgRUABQIqAAoERAAUCJgAKAEgEFACUCCgBKBBQAlAgoACgRUABQIqAAoERAAUCJgAKAEgEFACUCCgBKBBQAlAgoACgRUABQIqAAoERAAUCJgAKAEgEFACUCCgBKBBQAlAgoACgRUABQIqAAoERAAUCJgAKAEgEFACUCCgBKBBQAlAgoACgRUABQIqAAoERAAUCJgAKAEgEFACUCCgBKBBQAlAgoACgRUABQIqAAoERAAUCJgAKAEgEFACUCCgBKBBQAlAgoACgRUABQIqAAoERAAUCJgAKAEgEFACUCCgBKBBQAlAgoACgRUABQIqAAoERAAUCJgAKAEgEFACUCCgBKBBQAlAgoACgRUABQIqAAoERAAUCJgAKAEgEFACUCCgBKBBQAlAgoACgRUABQIqAAoERAAUCJgAKAEgEFACUCCgBKBBQAlAgoACgRUABQIqAAoERAAUCJgAKAEgEFACUCCgBKBBQAlAgoACgRUABQIqAAoERAAUCJgAKAEgEFACUCCgBKBBQAlAgoACgRUABQIqAAoGQ7oA0AJJM+UclHTGjtsw2gLskblXrAlDL8BwPAZhFQAFAioACgREABQImAAoASAQUAJQIKAEoEFACUCCgAKBFQAFAioACgREABQImAAoASAQUAJQIKAEoEFACUCCgAKBFQAFAqN6AP//36H29jDyKgANIpN6AfnjaPfow9iIACSIeAAoBSSQH97Zeun/cB/X7//7/GDJE/oCQa2I6CArp/yOkS9TB0iYBSUGArCGhiBBTYjoICuntz2zQ3z87+dNvc/H7//3+O+VX8+gGlr0A9Sgro7v2Lpnn8w+kdwS+RXA9Y863uMuesjwMoR1EB3e3+uX/Y+ZfjmwQUMGWLl3ZhAd29/6JpnhwehBp9GhMBxVZt8douLaC7h783zc1XOwIKGLPFa7u4gO527/YPQj97S0ABW7Z4bRcY0N3Dq/2D0G8IKGDKFq/tEgN6fELT728JKGDIFq/tMgN6eEJT5HPoDwgokMsWr+1CA3p4QhMBBQzZ4rVdbEB37/8a90dIBwQUyGWL13a5AVUhoEAuW7y2CWjyGQgotmmL1zYBTT4DAcU2bfHaJqDJZyCg2KYtXtsENPkMBBTbtMVrm4Amn4GAomreK3iL1zYBTT4DAUXVvJfwFq9tApp8BgKKqhHQDgKafAYCiqoR0A4CmnwGAoqqEdAOApp8BgKKqnn/ZZwt/oOKBDT5DAQUVZsR0PqufQKafIbtXUTYFF9AJ//NxhqvfQKafIbJi8j0GQImaANa5aVPQJPPQEBRNX9Aw/dXlZc+AU0+w8R/hav8UTo2xHcNT1zbdV76BDT5DAQUVSOgHQQ0+QwEFFXTBbT9UIWXPgFNPgMBRdUIaAcBTT4DAUXVVAE9fKTCS5+AJp+BgKJqvseSBDTNiKkHTCn7V3D6uXA1XkXYEk1Ajx+o8NInoKknIKCoGwHtIKCpJ6gnoMUsFItSBPS0vcIrioCmnqCmgJayUiyJgHYQ0NQTEFDUzff7IP+1fdlc3xVFQFNPQEBRNwLaQUBTT0BAUbfogF631ndFEdDUExBQ1I2AdhDQ1BMQUNTN95QkAppmxNQDpkRAIxBQuBDQDgKaegICiroR0A4CmnoCAoq6eQLqe3ooAY0cMfWAKRHQCAQUDr4nxRPQRCOmHjAlAhqBgMLhfFUMrw4CmmjE1AOmREAjEFA4ENAuApp6AgKKqoUC6r64CWjUiKkHTMlCQIu5iggoHAhoFwFNPQEBRdUIaBcBTT0BAUXVLlfF4PKQBLSYa1+MgKaegICiagS0i4CmniA4hf8iM4iAwoGAdhHQ1BMQUFSNgHYR0NQTEFBUjYB2EdDUExBQVM33O3Xvtd3dVt0lRUBTT0BAUTUC2kVAU09AQFE1AtpFQFNPQEBRNQLaRUBTT0BAUTUC2kVAU09AQFE1AtpFQJNPEJqDgKJ0BLSLgCafgICiZgS0i4Amn4CAomaegB7fIaDzR0w9YEoENAIBhcOsgBZz8UsR0OQTEFDUjIB2EdDk4xNQ1IyAdhHQ5OPXFNBCVooFdS6K8U83Cej8EVMPmBIBjUBA4UBAuwho8vEJKGpGQLsIaPLxCShqFgyo6+ImoHEjph4wJQIagYBizPesziUDaui6JKDJx58MqKWvfwgBxVh0QPtbEgXUzIVJQJOPT0BRMQLaQ0CTj09AUTEC2kNAk49PQFGUuK8yAe0hoMnHJ6AoStyXuYqApruwCWjy8QkoirLJgKa6sglo8vEDc/if6mERAd2GRQOa5OKfe2EmvLIJaPLxCSiKog9o9x0CmmrE1AOmREAjENBt2FxAm/BrTsaOlZjpe46ARiCg21BkQOeMQkDVCGgEAroNWwvo1G96owdLy/Q9R0AjENBtSBLQ81sEdPaIqQdMiYBGIKDbsLGAHg4loDoENAIB3QYCOmspiQa6jph6wJQIaAQCug3bCujxSAKqQ0AjENBtIKCzlpJooOuIqQdMiYBGIKDbsKmApr4FCWjy8QkoipI3oMMNBHRqxNQDpkRAIxDQbdhSQP0PlNVLSTTQdcTUA6ZEQCMQ0G2YEdDrewsHVDlMQ0DnIaARCOg2JA3odDATXFQzAppuEYkHuo6YesCUCGgEAroNxQV04i6bODLRIlIPdB0x9YApEdAIBHQbCOjMtaRl+p4joBEI6DYQ0JlrScv0PWcjoIUUlIBuAwGduZa0TN9zBDQCAd0GAjpzLWmZvucIaAQCug1bDGiyW5CAJh+fgKIoUV/mwb4ElICmHr+WgOovUxSlyICqhukcQ0BVMgdh6itLQGFP1HcaBNQ7ZCKmbzkCKkdAN4KAzl1LUqZvuXUDmv53gDkR0I2YE9Dz+/4fLhLQ2BFTD+jx8+t//Bp9EAGVI6AbQUDnriWpzLfcL2/b/3347rb9sj/+JvJoAipHQDeCgM5dS1I5b7n3X7fV/Ha3e9mc/CFuAAIqR0A3ImtAHUPPvqgyBjR61KIC+u7wsLO5+fZ+/7+fPnvWvvt51AgEVI6AbgQB7e4ROWxJAf3wdP/pffLx/jHoF/uI7jc8vGqOb4gRUDkCuhEEtLtHxQG9a5pHP5wehz4/bHl4EfkQlIDKEdBtaKJenbjkgHYPcR8e/8d3BQW0reWhm/uQPnl73HZ/fVOEgMoR0G0oNKCKYTYe0P138I9+bN/YPwT9aLjNvRSHXKs7TbgjoCgLAe1u3EJA928Q0PwI6DYQ0O7GugN6/I3Rw//85F9O37fvH4wGAjpGQOUI6DYQ0O62igPaPvlz+Buju+byYFSEgMoR0G1IHNDBHhkCOp5SOOTWA3o/etLS+6f8Fj4bAroN8wI6fji4TkAlY04EdOLunR4zjXy3XPtr+OZfrr90P/w9Z9Qv4QloBAK6DQS0u6nmgO4+fNF0f+TZPrE+7nn0BDQCAd2GzQS0t493XZGrKyqg7WPOfkAf/xA3AAGVI6DbUElApwedCKhjWPliElrulnv4r8h8mgloEWEioNtQakD7cxLQRRBQOQK6DYsHdO5VNQ6o7FMIL8yR5ZjFpGP6liOgcgQ0B3tn1GBAwzsQ0PUQUDkCmoO9fyraZEBDezgDKvgcggvT/n6CgCYfnoDCr86A9n+hE9rdu7G/AwG1iYDKEdAcCOj0VTXxK6EcAVXfmgQ0/fDeSQgoCGj6gE7cdu5pCagGAZUjoBlkf0GweFFf5/GOxQTU9z374D0CGkJA5QhoBisEVBKWGQEdHT87oFMPifMGNPKaJ6Dphyeg8FkloJO9IqAEVGbVgKq/SOsgoBkQUN9G+YIG4bz8v2BY77sEVIaAyhHQ9KYeXOWZs6yAjn6o6j2cgC6OgMoR0PQIqHdj/6MxAR19Sz9xmOtdAipDQOUmL2REiwhosjO/mYBKxvW9S0BlCKgcAY0h+2cLowKa6NQXFtDwPdT7GAFdHAGV23RAoz9vAurchYBGM33H5e3B8Avqn7yELm08oJGfuOgujmlVxQEV5DGwx/VDUQEdfpCAahBQOQIad8DwDc9OBFSSx4iACm8rApoCAZUjoHEHDN/w7FR9QP01ndja+5B/l9wBjbvmCWj60Qlo+Qiof+ep4xcL6OgSJaC5EVA5Ahp3wPANzz7VBbTdliyggtMYCKjsO3/X+wRUhoDKEdC4A4ZvePbZVEA94xLQ0IipB0yJgMoR0LgDhm949iGgaQPqffA7MScB1SCgcgQ07oDhG559CGhguusHsgc09scO0mFnM33HWQloCWEioHEHDN8YD7RaQEMjxX2Z3QH1PppbOqCSkV1bpBWWjDuX6TuOgMoR0Kj9XW/2Bzq+tXRAh48PHR83E1DRHUJAV0RA5Qho1P6uN3e9ukQHNMm5J6CeDxBQBQIqR0Cj9ne9uSOg4lGGmwmoRQRUjoBG7e96c9frFwGN2SwM6GC3FAGNuugJaPrRCWj5MgR04upwrGBjAVU8lhydJAKaFwGVyx9QwychZUD7Dz0JqGezfxT/wQR0YQRUbomAmj0LiQPaOZUE1BvQ6X2GHyCgCyOgclsOaHS9ggHtnUqTAY1YlXNjgoAOt+kCKrr5XOOIphaNO5fVe+KAgMoR0KgDXG/2LgkCGto8/mxlt5HwKOeMvg8TUC8CKkdAow4Ivt0MfxefYQn+laULqHu3NAGVzUVAVxX96UYdQEBjZ7B6FlIHtDMgARXWkoAapAho/MmUfA3NpuOKgMbs73mHgMqGIaDXEVMPmBIBlSOgMft73rm8HRvQqe7FLM1+QF37yW4jArooAipHQGP297zTCahr1+CI5QdU8iDSMUDw4InbKEVAY848AZ06gIBmnMHqWUgf0MAW74hJTk8ZARXPNbVSApoVAZXbdkDjPnPbAQ0OlD6ggkfbkmDpAupdYnATARUioHIENGp/5zsT9+3EiClOz+RX0WxAo7ZOfHzqRwQEVIiAyhHQqP2d7xBQ0ThrB1T0I4WI6Waxek8cEFA5Ahq1v/M9Aioah4B2R0w9YEoEVI6ARu3vfG8rAfW8T0AVrN4TBwRULntAUz1VPIOMARUOXFJAvXtZCejUSARUioDKRd1ZugnMngUCGtpZvBcBVbB6TxwQULHwJ5NmBrNnITKg3h4QUNE4BLQ7YuoBUzITUPsF3XJAY+tFQN17zQuoe/PkEhw7xAY04swT0KkDCGi+GayehFQB1RVAtYTQOFsP6OTwBFQqa0DPuxJQ6QxWTwIBDe4s3itVQLsfJ6BrIqBiSwTU6lkgoMGdxXulC2gztW9oMAKaDAEVI6Bx+7venRnQFKenhoA28wLqO4KAxiOgYgQ0bn/X+wRUNg4B7Y6YesCUCKgYAY3b3/X+xgPq3zsqoP3rhICuiYCKEdC4/V3vbzuggXsnJqANAbWDgIoR0Lj9Xe9bCWhooOmAxtSrN+TUpJPDXk5C1BKEgxNQBQIqRkCjdndtcA+xaECnv4qSPfyl8Q8ZvHMiAjo8EQR0TZqARp9LAiqewehZ2FBAJy7a44cUAQ3fN8J74XCFrBFQ+ZknoFMHENCMExg9CwS0v0t8QCdum5iA9vcQrICA5kNAxQho1O6uDTMCOuyG1koBnbprxAEdLS86oNOfOgGVI6BiBDRqd9eGLQdUtKypURcKqGMXAuo2O6ChAcLXovQbi6nRl0JAo3Z3bVkmoMGd0gZUeE6mH3TIAzrchYCuKkFAQxdaaJL5AV32zBLQqN1dW5YK6PR/1JcN6LTlAiq4XwmoHAEVr2DDAT2sioB2JpjeKY7827rhLpIldPchoEnFfrrN8Jk2VQU0OODWAxqxNk9APQPEfF8uy0V5ARU/ShztQkBXRUDFAxJQAnqZoMqAhj53AupGQMUDEtBlA+r8rlYY0Mlrck5AO/dAeQEN7k5AoxFQ8YAZAjpuRBUB9d1/sQF1NIWADndZKKBiBHRq//iAumchoI5GENDOZgIqOICAroqAigckoAT0/JFiAyq6xAmoHAEVD0hAZwQ09MkR0OFIBLQ3YuoBU7ITUMVS0gdU8P1NwlkbRyNMFrS0gM7poyig6S+GrAGduBN1Y05NlYzFO+KCgPYGXDOgkZVakmBp489k9HHf8UsGdLokVQd0YmcCGo2A9gYkoE6igDadt51DENAAAuofMfWAKRHQ3oCLBnRwLgmof0QC6j0gJqBT+xLQaOUGNOZ19ZKMSEDLCej0XAR07pgTY6Rj8Y64IKDiEQnoRECb69vOIVIEVHJ+Mgf08IGsAY1pYszOk7sS0GglBzT110oW0GSzdm/E67gEtDOiYycCOtiLgK6KgIpHJKDCgPq+2jUFNPlXa4GATu+Z4j8LBHRqfwKabLpCAiq5r5qpZ5f7H98T0MFIMQEVriB0TkYTE1A5RUB3gwu7loBOXWOJAzq6/osOaPfkeQMaHj58QGRA/YOGJyWg8jGDYyRk8I64mhtQyZ/NEVD/cATUakAnHsSWF1DpmSOgMQwFNHItBHQxwoCG9yOgQQTUP2LqAVMioL3pCajLagEdnpyJRTjW4p1rcwGV7EhAo+UM6PUjBNQ3GgH17z8+OROLcKzFOxcB9S+CgMoR0P70gsfTBNS7S+hTWDig/lEnxqk2oPJFEFC59QI63rbFgI7u1w0G1PvfV5MB7X3h1gxo1AoIaCYEtD/9UgEd36YEdLQxZ0AnHmD6dyg1oBG7EVC51QIq2yRfyHwE1Gd6aYKqCI4ebkwfUNeIvl0EAU34xcoc0KhVEFC5tQLqOoyApho9senPfF5VYgI6PXxotXYDKlma6wgCuq6VAuo8akMBdZwaAjraSECnjyCg61otoHPXQkCXIw/oIHuR4w83rhHQyYkIqGSIlAzeEVfzA+ofwn8tug9ZOqCDw6cunmUCarGgBNQzPAH1DZGSvRuiI/LTHX3NVAH1PGqNDujML9ZgGQsG1HWzENDRRtMB1X2qfgTUO2LqAVNaI6Cxr2smW0m8tQIa/hvFsgO6k/3Ji+/o/sZ5AXXtSUAli9hSQB++++Mnv//fby/vf3jaPPox4vh1AppgMfOvnuGtvlRAXf8WZ8LhMyCgnuHXDehhPwI6yz9v2wu2ufnynNACAiq5DRUribZSQIeBGQ5rL6ChIo0+UHtAex/PE1DxqAR0rrvm7MmpoPYDGvsXKdKVRBvc6qd3Mgd03JfKAhr6+k5OMNhIQKcPyRDQeUOWFNB3+8efj7/55ZdX7f8fs1lCQJMsZvaXerhyRUA1qRgdQ0AJqGRizyEEdIa78yPP91+cC0pAIwaYH9DI+UN/f1VPQPUTDDbODKhjVwIqWMRmAvrwommeX988tHThgAa/hKYDOlr5ZMCSBNS7bbpSq4kL6JwJhhtdVxAB7R6S+GrZVkC7sWwL+tFuKqCNQ9SUBJSAhvaYOcFwm+mA7jS/L/MjoN4RUw941ovl/p3m82UCOvharxLQ4UKiEVAxWwGdnIyAzlzENgPa/kbp5ttFvoWvIaDjK4WA+kwube6SVwnoZCAJqH6IpLLdEJ2fgbbum+bRDwQ04ngCKlJPQJ1fcPHR44WsHNDEK9i5bgvdEEl1B2y/0XaIat7V3fHnnp13H/1fAio/3kRAh58KAb1uI6BTxxDQOQFtnwf62a/X91/GD2YqoFGXTtz+7olc6yKgQwYCKr2A+h+fF1Dn7P2FEFDPEEn1BmyfsZksoIe/ROoe+4qAxhzuXtdUJgiod4e5Ewy3zQzoaFd1QD1XMgH1DJFUf8D2B5efJxv7zW2/l/v3Caj06MmA9ocfHRR/+RJQ8fEFBDT+P6AhBNQ7Yv/dwa9+Znr46c9ve++/ut1QQLVfLXFAXTccAfXuMHeC4TYCOnVM6qsleEOLR0hrOGDsL8qzIqCjuacC2jmagAa3R08w3GYnoM5TQEA9I6Q1GvA+5TfxM20yoOH70vMIc/zZENDgZsUEw20EdOqYTQZ0/028mYegBNS/kYAeTN7ZBDQFAuodcbTl3bNnf0s9i9IWA+pcl6uPnnXnDai5gm4+oN0LwVZA067gPLf9gBpCQL1vLhXQ4Um0G9Dp5syeob/NTEB7b3d2SPml0nwPQkDXVmhAndezFAGNYi2gU/MFLrbkAQ0uJJLmms4R0JlDEtDp3TcR0OGnRkCXD6imW6FdZwc059eGgPpGTD1gSgTU9+ZkQBXXGgGdmmGwjYBOHUNA15UxoJ4bLzijdDn5A3r9H99Rwf94TM083EpAndvMBHR05adHQH0jph4wpXkBHVXGM7TVgAZaajugS0Z2amnz1+IYYfCIL0dAJz+b3hoIqHyExAgoAR1PMtgaHdDlripzAY24hILHEVDnIghoDALqmPlyFRHQHQG1HdD0iyCgMeI+3cFlHb6qCGho5sFWAurcZCeg4QcLKcy6phMugoDGIKCOmS/PTyKgu7IDGsopAXUvgoDGIKCOmRcO6OCqJaC70ZVGQBdCQCOpAjr4/xUDqvpyEdAo9gIanHJeQMdf8d6lRkAlIyRGQG0FNFjF09uOa5mAEtCsZ52A+kYMfKz9Jzg++yH1jBEIqHOrIKCab+lqDGiClRDQ7kQEdDiia+NPX7QvCXp3+Cflbr5NPaVcmQF1d09IElDBrkkDKj5B1yOiJp5hamkpVjIeg4Cuo5SA3h3+7bf2nyWe849yJmAsoML1ZA6oaFdFQH17E9CJgA4/vkpAB1+m5Aiob8TxpnfHfzzzkNG0/0xnLAIaGoeA2gxoaFICOnMRJQR0X84nbw//PudHh38i6aPUc4oR0NA4BNT7tWvOi7Yd0NClN/mfg/adwafsnXY+EwGd/0kuEdB9Odufe7aPQ5+v/K90LhNQX0y160kW0ImrloCGAzooTJI5elsI6NKKCOgpmXfH3x8R0Oj1VBbQQQ8Fg1oIaCeiKefob/FcYasENPNZJ6C+EUdbTsl8efz10bYCOjEhAS0ooMkelK0V0PEoBHTu9MsF9PQj0PY7+SdvU08qRUBD4xBQ5TcSM+bob8kZUNdZXD+g6/azjIC26Xx+/hFo+0C09l8iVRjQ4Kcumbn/AQLq3uA7zf7p/QF1jRIs8zigvklTIKC+Eceb7prm8ff/evgO/uHvzbGj6yCgoXEIaN0BHZ/HYEDzIqC+Eceb9t/DH3x+fGu9B6DzAhr+km8hoHHzE1DBHP0NmQM6OpHDL8SSOdP8NznDIkoI6OlvkJ68PQT0D6v9BHSLAe0fUWZAMz+hZjCX851SAjq15MZ9PZzfIaDxA6RZSGdE18aHn579+fv9/3/4H599n3rCGKUHNP7rRUDjVBNQ72XqPfcEVDVAmoV0Rkw9YErWAipbEAFd7j6zGdDQuQwO5TrA+VXeEVDlAGkW0hkx9YApFRlQ7xUvMT+ghzcTB9Tznv/UrhzQtNOvGlD/5URAVQOkWUhnRM/2316//sfb3cOvqeeLQkBDwywVUO9unsuZgAYeT3o2BFbs+y8WAVUNkGYhnRGdW998fHwduw9PHxf7gsoEtP6Aeh4cbySgi9aMgHpGdG18dX4h0A9Py31B5QoCGv4cCCgBXQ4B9Yzo2Na+FP3jf789/UHnen/JSUCVARXclpNTC3YjoN6oCK663gYCKlxECQFtnwb61f7BZ/siIse/61wLAQ1dtQTU/Z+bkgIq6BIB7S6ihIAe//z9GNASX1C5/7UmoLqpBbslD2jsYQUE1PMYebCFgEoXUUBATy+ofApoga/GREDLDWjccfYDOqgcAZ27iAICenoF0FNAC3w90EUC6t9zsYB6bq3tBHS49+IBPb4VCOjwJZ09AQ2uNxDQwFHJEVDPiKMtpQZ0GLfcAfXtSkAJ6OUjg1NBQOcuooCAlvotfFRAPZf12gF1J8FoQH3fQ64e0MR3iTqg43+ViYCmWMSaA4xHHG96efiXjE8BvSvml0iegAYeIPiOlExCQPMEtOm/L1vJYMOyAQ2chFEc3QEVf5qbD+hsiwT0/vQc+jag9+W8oPKiAQ38BL/ygPb+G5I9oMKHZv0NmQM6OO2+k9A4vnilB7T0fi4T0Pa5nzfftAE9vCB9KU+kNxLQiRtGNnz//diAdhI3Y+7J/VYOqOfbYedHZlEHdHy0Y9/Js0VAE1okoJeXpD8o5k85LQY09gu27YCODiw7oI6j0wY0dFRyBNQzomtj+xj0pJwXE1kyoIGr3lJAo6a3F9DwMx1tB9R9tDOgU8vVfTlTI6CeEd2b33/dvh7TzbovSD8roOGHYYUENHzZJg2oeNepgAqiEhi5e2SwLe4Hc74PzUFAL3MT0PGIqQdMiYDaDqjzIALqP3peQFfNFwH1jJh6wJSsBjR03xBQAuo92h1Q6fwEdDYCKtmZgCqmjw6o7yQkC2jgYb5/Zt/HZiCgl8kJ6HjEztvHP9vs/Q6+VeafchLQuOmNBLT/xVAFNPVNQkAvkxPQ8Yidtwmo7GKWVk0yYOjg3cQdajegqgv1+h+ny/ubCKh4/nXzpf8PoyGZA/rHTz79sf3fvk8JaH9XAhpa2iIBdX9gOEIaeQMaMT8BnS1vQM2xF9DrZZQjoOO9dQHVTG8uoBFn2TNCIgT0MjsBHY+YesCUCCgBDa4hPPhNPMQAAB5xSURBVEIigYAGHyU7jiagK1skoK8ef5N6FqVsAfVVThTQ8G1KQOcFtDc+Ae0eREBnWyKgp9cDtaDAgA42E1C5OgM63H3G/AR0tiUCuupr0PcR0O0GNOYs9zcT0CwIqHvE0Zb9I9DCA9r/WkcEVDCf+2XKfCNXHFBvJwmod3fdyghoOksEdN0Xoe8hoME7tK6Adh/ZXv7PQkC936/sCGhpFgno7s1t8/g/fkk9k4LlgHp2Dj1cEQzu2rSxgPYyKDvJc6eWrmz83hIBHf6nZSUE1D3iaMvDX5/9qey/RMoc0NDOo40ENHoB3QEIaOcwAjrbEgEt/085tx5Q1ewEdHpl4/e2FdDi+7lMQIv/U85tB1Q5u3zXzjfXBJSAFmWJgBpiMqDBxW0soJ4Vzwto98tnP6CT0xFQQwioaOfe1zptQCcWt1JAJY2Nnzu4Z96ARj7Onzm1eGWj9whoWQioaOfVAjreFjOkZ8SyAuoNq3z+qYCGP1sCmgcBdY/o2f7b69f/eLt7+DX1fFEIqNmAer/FJqD+owno2pYK6JuPj799//C0mH/WuLtvVQH1j0BAAytLiICeZiegjhFdG1+dn7704emqLyxCQDcZ0N3ES0IT0DUQUPeIjm13+6vi8b/f7gP68KJpnrxNPadYroAONhHQ+D0J6OkdAlqSRQL67rZpvto/+GyfQN8W9HnqOcWSBHS6askCKtsUMyIBjQ1ohps8ENAdAS3KIgF9eXgxkWNAd/drvrIIAQ3eoRsNaPiEENBMCKh7xNGW0wsqnwK6fzi63vfwBLTUgEZfqYNvjEPLIqCrIKDuEUdbTi+ofAroqi+vTEC3GdDwdgK6CgLqHnG0hYCqF1dwQCPWOT+gEeeJgO5k5zQ7AuoecbSFb+G1i/MEcMaIuyoD6vrFWMRnUFhAJV8m2Qgr90vwjAPzlgho+0ukzy8BXfXl6Qmo1YD6v6ucvtmbbAHN9CipN+To2iGgBVkkoPen59C3Ad2/zdOYpIuzHdDwQpYLaOOsnDyg4ce2BDQbAuoccbypfe7nzTdtQB/+3pT/RPpiAureM3TVTi+8dxpCK1ksoI37+2wCOj0CAZ1tkYD2X5O++D/lJKDTA6kD6u2bb7zjKgioZgEEdLZlAnp4DHpS5IuJ9L/WmQI62tsXQO145601BfS0iIgqRgY0xz1uJKBr56uCfi4V0N3u/dft6zHdfPZ96vmiENDKAtr4PkpAp0dYu18E1Dli6gFTIqB1BfSyBAKqWMDa/SKgzhFTD5jSnICGRvGlz2ZABUcIAyoZSqAJvV5nOKATRwkWNvGfAQKaDQF1juj/0M9/ffblmj8BzRZQ7waLARUdIenPMgENnkp/SjYRUPXaCGgq+QP68Or2+Keb7784/BLps/WexFRYQD0HVxnQ6RIS0PERBHR12QN6f9s057+BP/0afrW/hK8joPJB8wa0CT/Dh4CGRvXPL5iPgNqRO6DtaykfA/pyn85vfvnuds2/5CSg0iNKD2jEyowFNOZwArq6zAFtn/95fOLnvqTn1xJZ8Zn0BFR4hCygoRkIqHAFBLRkmQN635xfu+7u8IIiu/Mri6yEgAqP2E5Aw+usNKDHI9fuFwF1jth951LL00va7Q5NLe/l7NYIqPdYAuqYJF9AQx9WIqCnRRBQx4idt6/ZvL6M8vl7+VVsKqCKry0BHa8s9GElAnpaBAF1jNh5u5fNj4bbVkBAhYcQ0MvKQh9WIqCnRRBQx4idt6+xvPwIdFMBjTy75QVUsp9o2tkBjciirYDm+SqJhli7XwTUOWLn7WssX15+976lb+FrDujx/5MF1HtccEm+44KTFx9Q5Tc4oxHW7hcBdY7YefvyM9DOw071L5F6Lyp6FVXjggI6P031B9T7RZEHdGKZBDQjAuocsfvOy9O/33H9EWi7SfdM+oUDOnycQkD7H8kV0OGBBNR/PAFdXeaAnh9uvrz8Q0jtnyYp/02k0x/TywPq2l08GwEN70JA9QjoaREE1DFi9532UePj7395denc+6czngba/l1TzJPwlwroeNSsAZUOu0RA/TsSUNkKCGjRMgf08I9wHrSPOh9++rqZ9W8itQWd9U96ElDhITUHNKZfBDSjtedPIXdAD6/GtI/mX9q3Dz/FvJlTwLnPgUoTUO89PtxCQKXT2g1o8MNanWE3HNAaZA/o/mHns2df/np4sw3op/NeUfl+3l/SE1DhIWUHVF7FlRpCQGuRP6AdD//2eu5fwe+/iZ/zEHRGQAPDpAqoNAIWAjp5Dy8d0IgoEVACmsqiAU3h3bNnf9MfrQ5o8GM2AzrnzpyefWrPqNlFD+8J6OgYArq64gI6DwEVHrNsQANHXt8joKNjZqy+PZSAzkdANbsS0EoCulZCCGgtCKhmVwJKQGchoLUgoJpdCajpgE7NTUAJaCoEVLMrAZ2M0BIBjUit57j1A6paAQE1g4BqdiWgdQR0tYIQ0FoQUM2uCwQ0eKho3KwBnVyp5YCmCNA8BLQWBFSzKwE1GNCIB5aVBHTO8gloGgRUsysBrSKg6wWEgNaCgGp29d3jw02bCKh735nfXTreIaDDwwno+gioZlcCajmg01OXHtDTUTMDSj8TIKCaXQkoAZ2FgNaCgGp2JaArBHQ85MyArhgQAloLAqrZlYAS0FkIaC0IqGbXEgKq+spKAzp5AgioYAH6RRBQKwioZlcCWkFA1+zH+gHdRf0Li/AhoJpdqw2oJEJmAyrPCgEloIkQUM2uBNRCQD1BJaDCIQhoAgRUs+vaARVHIpoyoN4zMGcNw3fSBdTxOSyLgNaCgGp2zRVQ8Y21ZkDbj3l++jh7+tGhvredU0QFdNV8XCZXroKAWkFANbvmD+jEkcYC6tidgE7MP3hDczwBXR8B1exJQEctc8dMhYAKjyeg6yOgmj23HlDXA87Jx6TRawi97ZwiJqDr1oOA1oKAavYkoJPTrRZQ0cRr14OA1oKAavbsfdC15/YCOjyCgIbnH76hOZ6Aro+AavYUBjT+5BYd0KmH5dGL2EUG9LCFgEqHIKAJEFDNntUHdOKzd364mTwrkYsYDpM2oNrFJUFAa0FAVXuG7uvrtm0FdPo/K5GLGA5DQAfHE9D1EVDVngR0YsqZ97ZzHAI6OJ6Aro+AqvZcO6DTQ8+6MwsOqGzitdtBQGtBQFV7bj2gk5MuEFDHFOKArm1uQI/HzftcCWgKBFS1JwGdmJSABhHQWhBQ1Z4EdGJSAhpEQGtBQFV7EtCJSQloEAGtBQFV7Zk7oPP7WGFAB4O6z3sZVRB/nUMDzPxUCzlVxhFQ1Z4EdGJSAhpEQGtBQFV7EtCJSdcL6Ix5l0NAa0FAVXsS0IlJCWgQAa0FAVXtufGATn+EgIZJzvPU8QTUAAKq2tN3i/c3VhpQyaSJAhpKJgEloOsjoKo9cwVUfGPZDOj1OAIaRkArQUBVe64e0Mk9CKhpBLQSBFS151RAj1sJqJJnGElA50y7IAJaCQKq2pOATsyaP6Bl3/4EtBIEVLWn+YDOLCABzcxEQGcdjgMCqtqTgE5MS0DDDAQUKRBQ1Z4EdGJaAhpGQCtBQFV7EtCJaQloGAGtBAFV7Zk5oIIDCajpC20KAa0EAVXtSUAnpiWgYeKvc2CAss9AJQioakcCOjEtAQ0joJUgoHPHIaCueQloGAGtBAGdOw4Bdc1LQMMIaCUI6MxxPCNmD6j8h7SK+QlobgS0EgR05jgE1DkvAQ0joJUgoDPHIaDOeQloGAGtBAGdOQ4Bdc6bJaDTP3ouBgGtBAGdN5BvwFIDOvfOnhvg8ygXrtETzLA2AloJAjpvIALqnDdZQJ2jJ5hhbQS0EgR03kBGA6r/PE0EdGL0jDMshYBWgoDOG4iAOicmoBMIaCUI6KyBvOO1H9BMRkAFo2ecYSkJAlr4GagEAZ01UPKAyg+0GdD5ZZgefPhmiQhoJQjorIFWDajnNy3BdYnmJ6DZaX/E0xmg8DNQCQI6ayAbAR3vTkCNI6CVIKBzBvIPlz+gw7VMbYoajIBmRkArQUDnDGQjoI79CahxBLQSBHTOQAQ0+fGCwYdvloiAVoKAzhnISEDHBxBQ4whoJQjojIECoxHQHK7Dll6P2QHdEVATCOiMgcwEdHQEATWOgFaCgM4YyFJAm8H7iqk7RxLQzAhoJQiofqDQYAsHdHgIATWOgFaCgOoHshTQwTErBnB+GibGHrxVJgJaCQKqH8huQOf2j4DmRkArQUD1A5kKaO8gAmodAa0EAVUPFBxrTgd1iySgJSGglSCg6oGMBbR7GAG1joBWgoCqByKg/gFy3dyXcUuvh/r66IxQ+CmoAwFVD2QtoGkenxHQRRDQShBQ7UDhoQhoHueBi6/HjK/zeYDST0EVCKh2IAIaGICATiGgdSCg2oEIaGCAfDf37PUZQUDrQEC1A2UK6OTI4TmHbykHmXOe5v94b2p0ArojoEYQUO1A4ZHWCGiSX7FYD2juR7hLIaB1IKDagQhoYAQCOoWA1oGAagcioP4Rct7bBPQ8QPHnoAYENM9ABDSbzI9wF0JA60BA801EQLMgoOcBsD4Cmm+ixQN6nnHuTzBtBzT/BEuo4pMAAc04kTqgs2bdEdASVPFJgIBmnKjcgM46TfnTUMM/6UtA60BA801EQDMhoLCCgOabiIDmUkVAy/8cQEBzTrR8QNP8BHPuacrfhgriQ0DrQEDzTURAc6mgPQS0DgUG9OGX/379+vU/fnmrOJaAikawHtAKcJLqUFpAf/66ufrs+9jDlwyoci4CugmcpDqUFdD3XzR9j7+NG4CAioYgoNlxkupQVEDvb9vL7pNnRx+379w8jxqh9oCm+SU6Ac2Pk1SHkgL64ek+mN90Nvy0D+qjH2OGIKCiEQhodpykOpQU0LtRLtukfh4zBAEVjUBAs+Mk1aGggD68aJrhN+z3TfMk5rfxBFQ0AgHNjpNUh4ICun+4Ofp+3bWtsxSHXKsbTU1AEcBJqgMBzWNOQFeauDM/Ac2Ok1SHggK6/xb+ZvispQq/hV974vkBreEvLbMjoHUoKKC7l6Natj8W/ShmiOUu2rVuEAJaBgJah5IC+u52X9AfOhve7/s5elAaREAlAxDQ/AhoHUoKaPs8pn0xn/3H69b/OT6TPupZTARUNAABzY9zVIeiArp7czv4ldDNV3ED1B/Q2RMT0EVwjupQVkB3D991E3rzZewrMhFQwfEEdAGcozoUFtC9h59ff/fs2bMvX3+veD07Aio4noAugHNUh/ICOgsBFRxPQBfAOaoDAc02EwGFH+eoDgQ020xr3SEEtAScozoQ0GwzbTmgsw7fBAJaBwKababtBhTTCGgdCGi2mQgo/AhoHQhotpnWC+jsw7m5syOgdSCg2WYq9A4hoIso9fJAHwHNNlOhdwgBXUSplwf6CGi2mQq9QwjoIkq9PNBHQLPNVOgdQkAXwSmuAwHNNlOhtwgBBcQIaLaZCq0QAQXECGi2mQqtEAEFxAhotpkKrRABBcQIaLaZCq0QAQXECGi2mQqtEAEFxAhotpkKrRABBcQIaLaZCq0QAQXECGi2mQqtEAEFxAhotpkKrRABBcQIaLaZTJ8IPwIKiBHQbDOZPhF+BBQQI6DZZjJ9IvwIKCBGQLPNZPpE+BFQQIyAZpvJ9InwI6CAGAHNNpPpE+FHQAExApptJtMnwo+AAmIENNtMpk9EwH7hxa4dWBYBzTaT6RMRQEABKQKabSbTJyKAgAJSBDTbTKZPRAABBaQIaLaZTJ+IAAIKSBHQbDOZPhEBBBSQIqDZZjJ9IgIIKCBFQLPNZPpEBBBQQIqAZpvJ9IkIIKCAFAHNNpPpExFAQAEpApptJtMnIoCAAlIENNtMpk9EAAEFpAhotplMn4gAAgpIEdBsM5k+EQEEFJAioNlmMn0iAggoIEVAs81k+kQEEFBAioBmm8n0iQggoIAUAc02k+kTEdCUu3RgYQQ020ymT0QAAQWkCGi2mUyfiAACCkgR0GwzmT4RAQQUkCKg2WYyfSICCCggRUCzzWT6RAQQUECKgGabyfSJCCCggBQBzTaT6RMRQEABKQKabSbTJyKAgAJSBDTbTKZPRAABBaQIaLaZTJ+IAAIKSBHQbDOZPhEBBBSQIqDFz5QaAQWkCCgGCCggRUAxQEABKQKKAQIKSBFQDBBQQIqAYoCAAlIEFAMEFJAioBggoIAUAcUAAQWkCCgGCCggRUAxQEABKQKKAQIKSBFQDBFQQIiAYoiAAkIEFEMEFBAioBgioIAQAcUQAQWECCiGCCggREAxREABIQKKIQIKCBFQDBFQQIiAYoiAAkIEFEMEFBAioBgioIAQAcUQAQWECCiGCCggREAxREABIQKKIQIKCBFQDBFQQIiAYoiAAkIEFEMEFBAioBgioIAQAcUQAQWECCiGCCggREAxREABIQKKIQIKCBFQDBFQQKiggH542rg8+jFmcaRhGgEFhAgohggoIFRQQHfvvyCgSyCggFBJAd09vGiaz2eNQBoECCggVFRADwV9PmcA0iBAQAGhsgLa/hw06lv2IdIgQEABocICuruf9008aRAgoIBQaQHdfxMvfwjq+p1TzsVVgrMECJUW0N27Z8/+Jt2XgKpwlgCh4gI6D2kQIKCAEAHFEAEFhAgohggoIERAMURAAaFSA/rhj598qnhCKGkQIKCAULEB1T2jnjQIEFBAiIBiiIACQgQUQ5wkQIiAAoASAQUAJQIKAEoEFACUCCgAKJUaUCUCCiAdAgoASgQUAJQIKAAoEVAAUCKgAKBEQAFAiYACgBIBBQAlAgoASgQUAJQIKAAoEVAAUCKgAKBEQAFAiYACgNLmAgoA6SRvVOoBU1r7ZAOoS/JGpR5wEfa/t7e/wgKWaH+FBSzR/gpLWKJXmUu3f8btr7CAJdpfYQFLtL/CEpboVebS7Z9x+yssYIn2V1jAEu2vsIQlepW5dPtn3P4KC1ii/RUWsET7KyxhiV5lLt3+Gbe/wgKWaH+FBSzR/gpLWKJXmUu3f8btr7CAJdpfYQFLtL/CEpboVebS7Z9x+yssYIn2V1jAEu2vsIQlepW5dPtn3P4KC1ii/RUWsET7KyxhiV5lLt3+Gbe/wgKWaH+FBSzR/gpLWKJXmUu3f8btr7CAJdpfYQFLtL/CEpboVebS7Z9x+yssYIn2V1jAEu2vsIQlepW5dPtn3P4KC1ii/RUWsET7KyxhiV5lLt3+Gbe/wgKWaH+FBSzR/gpLWKJXmUu3f8btr7CAJdpfYQFLtL/CEpboVebS7Z9x+yssYIn2V1jAEu2vsIQlepW5dPtn3P4KC1ii/RUWsET7KyxhiV5lLt3+Gbe/wgKWaH+FBSzR/gpLWKJXmUu3f8btr7CAJdpfYQFLtL/CEpboVebS7Z9x+yssYIn2V1jAEu2vsIQlehW8dABYFwEFACUCCgBKBBQAlAgoACgRUABQIqAAoERAAUCJgAKAEgEFACUCCgBKBBQAlAgoACgRUABQIqAAoERAAUCJgAKAEgEFACUCCgBKBBQAlAgoACgRUABQIqAAoERAAUCJgAKAEgEFACUCCgBKBQb0/de3TXPz2Q9rr2Po4btPmqb5XXdhNpf67rZ5fnnH2hIf3rRn8ZOv3l62WFvh7ufRggwt8cPTRz9e3xsvzMBSe0ss5q7xKC+gb/Znt3Xzl7VX0ndeV9P8YbjJ1lI/PG2uAbW2xHfns/j4fI9ZW+HDq/PX+fPzJkNLfHjRdOo0XpiBpfaWWMxd41NcQO+bi+fTey+ns67mo9EmS0t92VmPtSVe+tk0T46PQa2t8HD6+gU1tMSH/equdRovzMBSe0ss567xKS2g7cOnx/sH9z9/0b1S1ndY1/e748Juvr1ssrfU+86laW2J7Xpuvmq/r7s95cnaCg+Jb7+7fP/C4Nd5/+Cus4bxwgwstbfEcu4ar9ICend+aNJ+IT6f2ns595f/grYLO7xpc6ntBXoJqLUl3l1umvvTyqytsF3Q6Qv98rQgO0v86fD4/ZKd8cLWX2p/icXcNX6FBXR/Vo//oTo8FHjyNrz3gl5ev+E4LczmUtsfQP2v81qtLbGzntOb1lbYfqHPCzrd/WaW+H7/mK357ItLncYLW32pwyWWctcEFBbQ/eOn80ntnGpbTmu0udT9f+Cf350vW2tL3N8yH/W3WFuhI6BmlnjX/vij8xua8cJWX+pwiR2m75qAwgJ6fczf+8+XKadrwORS94n6fHcJqLUl3o++abO2wsG38O16zCzx7uYPb7u/4h4vbPWlDpfYYfmuCSkvoJdb7M7o+T1dAxaXur9291dpN6CmlnhYw+FZgL/76rjF2gqPP0M+/BLp69MP68ws8bd2Nf2ADha2+lKHS+wwfNcEFRbQ7jkdP14xYX+HHb7zsLjU4/efl5VZW2K7vLvTU1iOzwO1tsLd6ed4ZpfYqdN4YTaW6gyo5bsmiIAm1j7N7fzrRGtLPS3DckD/dHkS4OEms7bCVvsEptZnx5/V2VpioQG1fNeEEdC0rk8TtrfU8w/orQb08BTBw/fHv706PbHa2Apbd5fE33x1et/QEssMqOW7ZgIBTerh8vRqg0t9ObxIjS3xENDrX/f0ftqwM7HC3bGff/j11PjnO2tLLDKgpu+aCQQ0pfeXP6gwuNRxN60t8WVzfebf8Vew1lbYfSGBN8dHTbaWWGJATd81UwoLqO1f0rUvg3B5EQxrS70+ydLsb+FfdtZzXJu1FbqfG2RoibZ/C38wDKjpu2ZSeQG1+zSxw3d3l7+dsLbU68/uLq+EYXCJ44CaWmHvpr4zuETbzwM9GATU9l0zqbCAWv5DhVdN71sOa0t1BNTaErt3z53JFTq+xbS1RNt/iTRc4s78XTOpsIAa/lPZu6b/9ba2VEdArS1xv4jLrXV8+GFthY5HSLaW2KmTwb+FHy7R/l0zqbCA2n2xlv2d9aj/Gtpml3p9FGVtie2zAY/3zJvrE0FNrbB9Nbvra2uen/ttZ4ndOll8NabBEgu6azxKC+j5FQStvVzg+S8p+ptMLrUTUGtLbPPUrue3yzd21lZ4eD3ly9OYDg9GTS2xW6fxwkwstf9ThmLuGo/SAmr1Bav73yAfrwqjS+3+HM/aEjun0egr0h9fT/Xo8eW1S80ssff9sclXpB8806qYu8ajuIDu/mnxn0x5eOG4FGwutf+LEGtLPK/n/IeS9lZ4/VI/MbjE/m9oxgszsNTrEou6azzKC6jJf7Sv+7jkeimYXOrg+XXWlvjbdx/v1/Pp99ct1la4+/mPhwWZXOLgOUIW/1XO6xKLums8CgwoANhAQAFAiYACgBIBBQAlAgoASgQUAJQIKAAoEVAAUCKgAKBEQAFAiYACgBIBBQAlAgoASgQUAJQIKAAoEVAAUCKgAKBEQAFAiYACgBIBBQAlAgoASgQUAJQIKAAoEVAAUCKgAKBEQAFAiYACgBIBBQAlAgoASgQUAJQIKAAoEVAAUCKgAKBEQAFAiYACgBIBBQAlAgoASgQUAJQIKAAoEVAAUCKgAKBEQAFAiYACgBIBBQAlAgoASgQUAJQIKAAoEVAAUCKgAKBEQAFAiYACgBIBBQAlAgoASgQUAJQIKKy7a4Y+3z28aB79uPbCAAIK6wgozCKgsI6AwiwCikJ8eEozYQ0BRSEIKOwhoCgEAYU9BBSF6AX09DPQ/bYnbx/efNw0j79pt3532zS/++qy05tPmqb59Ju3aywXm0BAUQhfQP/fi/Nvlt5/cXzro+M+725Pv3N6/MNaa0btCCgK4Qvov54yefOfL86/pX/e7nLpZ8O3/siFgKIQnoDuH2B+v9u9f3p+qPnT7fEhaPuh9vv6hze3l8ekQGIEFIXwBfTJ4Uec903nrfaN+/P77U43366yZFSPgKIQvoA+P3/0VMnTfi+v1bxvf0AKZEBAUQhPQE/bhm8dfj9/2vndLd/DIw8CikJEB7TrCU9lQg4EFIWIC2jnd/AEFNkQUBQiOqBEE9kRUBQi+lt4nv2J7AgoChEX0P0Op9/PA/kQUBQiLqDtq4g+Ov0J5x1PY0ImBBSFiAxo+2v4m6/e7na/vWp4Ij0yIaAoRGRAD3+bdH0JeyAHAopCxAZ0d39LP5EZAUUhogO6e/iufT3Q33356wqrxTYQUABQIqAAoERAAUCJgAKAEgEFACUCCgBKBBQAlAgoACgRUABQIqAAoERAAUCJgAKAEgEFACUCCgBKBBQAlAgoACgRUABQIqAAoERAAUCJgAKAEgEFACUCCgBKBBQAlAgoACgRUABQIqAAoERAAUCJgAKAEgEFACUCCgBKBBQAlAgoACgRUABQIqAAoERAAUCJgAKAEgEFACUCCgBKBBQAlAgoACgRUABQIqAAoERAAUCJgAKAEgEFACUCCgBKBBQAlAgoACgRUABQ+v8XW3lHtRn5OQAAAABJRU5ErkJggg==)
iowa_simple_exponential <-ses(iowa.ts, initial="optimal", alpha=0.11)
summary(iowa_simple_exponential)
##
## Forecast method: Simple exponential smoothing
##
## Model Information:
## Simple exponential smoothing
##
## Call:
## ses(y = iowa.ts, initial = "optimal", alpha = 0.11)
##
## Smoothing parameters:
## alpha = 0.11
##
## Initial states:
## l = 1.4606
##
## sigma: 0.9529
##
## AIC AICc BIC
## 604.9520 605.0488 610.6404
##
## Error measures:
## ME RMSE MAE MPE MAPE MASE ACF1
## Training set 0.08288983 0.9454061 0.7267637 -Inf Inf 0.7640854 -0.02818975
##
## Forecasts:
## Point Forecast Lo 80 Hi 80 Lo 95 Hi 95
## 129 2.61855 1.397309 3.839791 0.7508230 4.486277
## 130 2.61855 1.389943 3.847157 0.7395573 4.497542
## 131 2.61855 1.382620 3.854479 0.7283586 4.508741
## 132 2.61855 1.375341 3.861759 0.7172260 4.519874
## 133 2.61855 1.368104 3.868996 0.7061581 4.530941
## 134 2.61855 1.360909 3.876191 0.6951539 4.541946
## 135 2.61855 1.353755 3.883345 0.6842124 4.552887
## 136 2.61855 1.346640 3.890459 0.6733323 4.563767
## 137 2.61855 1.339566 3.897534 0.6625128 4.574587
## 138 2.61855 1.332530 3.904569 0.6517528 4.585347
iowa_simple_exponential$fitted
## Time Series:
## Start = 2
## End = 128
## Frequency = 1
## y
## [1,] 1.460579
## [2,] 1.354687
## [3,] 1.493270
## [4,] 1.434950
## [5,] 1.537575
## [6,] 1.385589
## [7,] 1.284457
## [8,] 1.312400
## [9,] 1.612375
## [10,] 1.370308
## [11,] 1.444399
## [12,] 1.521407
## [13,] 1.796246
## [14,] 1.849845
## [15,] 1.791483
## [16,] 1.766075
## [17,] 1.571807
## [18,] 1.511874
## [19,] 1.499027
## [20,] 1.594258
## [21,] 1.553365
## [22,] 1.422520
## [23,] 1.305922
## [24,] 1.188776
## [25,] 1.044766
## [26,] 1.035358
## [27,] 1.129513
## [28,] 1.234707
## [29,] 1.224318
## [30,] 1.348478
## [31,] 1.393345
## [32,] 1.453446
## [33,] 1.175540
## [34,] 1.453900
## [35,] 1.441625
## [36,] 1.506404
## [37,] 1.406832
## [38,] 1.383164
## [39,] 1.317546
## [40,] 1.247775
## [41,] 1.099814
## [42,] 1.201492
## [43,] 1.297854
## [44,] 1.409143
## [45,] 1.433489
## [46,] 1.568376
## [47,] 1.501210
## [48,] 1.515711
## [49,] 1.395772
## [50,] 1.288827
## [51,] 1.349742
## [52,] 1.228622
## [53,] 1.102576
## [54,] 1.107939
## [55,] 1.120159
## [56,] 1.058963
## [57,] 1.056741
## [58,] 1.114005
## [59,] 1.128325
## [60,] 1.172924
## [61,] 1.118988
## [62,] 1.103459
## [63,] 1.137414
## [64,] 1.189462
## [65,] 1.365838
## [66,] 1.323818
## [67,] 1.368844
## [68,] 1.405670
## [69,] 1.500890
## [70,] 1.558748
## [71,] 1.696177
## [72,] 1.816784
## [73,] 1.850068
## [74,] 1.945633
## [75,] 2.016522
## [76,] 2.114996
## [77,] 1.864119
## [78,] 1.773997
## [79,] 1.834614
## [80,] 1.755582
## [81,] 1.872024
## [82,] 1.873285
## [83,] 1.832392
## [84,] 1.804317
## [85,] 1.621967
## [86,] 1.703635
## [87,] 1.739514
## [88,] 1.706370
## [89,] 1.704561
## [90,] 1.831367
## [91,] 1.817134
## [92,] 1.796653
## [93,] 1.659730
## [94,] 1.843555
## [95,] 1.806181
## [96,] 1.822806
## [97,] 1.807829
## [98,] 1.875263
## [99,] 1.875835
## [100,] 2.095560
## [101,] 2.252412
## [102,] 2.282762
## [103,] 2.471790
## [104,] 2.460635
## [105,] 2.458272
## [106,] 2.591546
## [107,] 2.727442
## [108,] 2.735201
## [109,] 2.544147
## [110,] 2.548931
## [111,] 2.566180
## [112,] 2.604490
## [113,] 2.577742
## [114,] 2.566608
## [115,] 2.484911
## [116,] 2.581959
## [117,] 2.582571
## [118,] 2.626291
## [119,] 2.637106
## [120,] 2.581958
## [121,] 2.550258
## [122,] 2.551176
## [123,] 2.620935
## [124,] 2.698678
## [125,] 2.571368
## [126,] 2.606350
## [127,] 2.655015
checkresiduals(iowa_simple_exponential)
![](data:image/png;base64,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)
##
## Ljung-Box test
##
## data: Residuals from Simple exponential smoothing
## Q* = 10.313, df = 8, p-value = 0.2438
##
## Model df: 2. Total lags used: 10
# automatically selecting alpha and initial values
iowa_simple_exponential <-ses(iowa.ts, initial="optimal")
summary(iowa_simple_exponential)
##
## Forecast method: Simple exponential smoothing
##
## Model Information:
## Simple exponential smoothing
##
## Call:
## ses(y = iowa.ts, initial = "optimal")
##
## Smoothing parameters:
## alpha = 0.1027
##
## Initial states:
## l = 1.4597
##
## sigma: 0.9528
##
## AIC AICc BIC
## 606.9234 607.1185 615.4559
##
## Error measures:
## ME RMSE MAE MPE MAPE MASE ACF1
## Training set 0.08855563 0.9452994 0.727797 -Inf Inf 0.7651718 -0.02206369
##
## Forecasts:
## Point Forecast Lo 80 Hi 80 Lo 95 Hi 95
## 129 2.614261 1.393158 3.835364 0.7467450 4.481777
## 130 2.614261 1.386740 3.841782 0.7369299 4.491592
## 131 2.614261 1.380356 3.848166 0.7271658 4.501356
## 132 2.614261 1.374004 3.854518 0.7174519 4.511070
## 133 2.614261 1.367685 3.860837 0.7077875 4.520734
## 134 2.614261 1.361398 3.867124 0.6981719 4.530350
## 135 2.614261 1.355142 3.873380 0.6886043 4.539918
## 136 2.614261 1.348917 3.879605 0.6790840 4.549438
## 137 2.614261 1.342722 3.885800 0.6696103 4.558912
## 138 2.614261 1.336558 3.891964 0.6601826 4.568339
iowa_simple_exponential$fitted
## Time Series:
## Start = 2
## End = 128
## Frequency = 1
## y
## [1,] 1.459688
## [2,] 1.360953
## [3,] 1.489646
## [4,] 1.435589
## [5,] 1.531301
## [6,] 1.390101
## [7,] 1.295253
## [8,] 1.320224
## [9,] 1.599379
## [10,] 1.374798
## [11,] 1.443485
## [12,] 1.515448
## [13,] 1.772560
## [14,] 1.825014
## [15,] 1.773096
## [16,] 1.751271
## [17,] 1.571485
## [18,] 1.515585
## [19,] 1.503213
## [20,] 1.591660
## [21,] 1.553763
## [22,] 1.431607
## [23,] 1.321857
## [24,] 1.210892
## [25,] 1.074221
## [26,] 1.062417
## [27,] 1.147511
## [28,] 1.243838
## [29,] 1.233205
## [30,] 1.348168
## [31,] 1.390073
## [32,] 1.446499
## [33,] 1.187850
## [34,] 1.446373
## [35,] 1.435689
## [36,] 1.496755
## [37,] 1.404818
## [38,] 1.382936
## [39,] 1.321720
## [40,] 1.256176
## [41,] 1.117225
## [42,] 1.210332
## [43,] 1.299356
## [44,] 1.403065
## [45,] 1.426410
## [46,] 1.553023
## [47,] 1.491915
## [48,] 1.506403
## [49,] 1.395422
## [50,] 1.295650
## [51,] 1.351800
## [52,] 1.238550
## [53,] 1.119896
## [54,] 1.123123
## [55,] 1.132969
## [56,] 1.074541
## [57,] 1.070868
## [58,] 1.122861
## [59,] 1.135316
## [60,] 1.176221
## [61,] 1.125546
## [62,] 1.110380
## [63,] 1.141359
## [64,] 1.189529
## [65,] 1.354128
## [66,] 1.316115
## [67,] 1.358928
## [68,] 1.394314
## [69,] 1.484346
## [70,] 1.540042
## [71,] 1.670221
## [72,] 1.785445
## [73,] 1.819725
## [74,] 1.912029
## [75,] 1.981637
## [76,] 2.077121
## [77,] 1.846873
## [78,] 1.764535
## [79,] 1.822078
## [80,] 1.749607
## [81,] 1.858893
## [82,] 1.861418
## [83,] 1.824472
## [84,] 1.799083
## [85,] 1.629438
## [86,] 1.704890
## [87,] 1.738246
## [88,] 1.707444
## [89,] 1.705645
## [90,] 1.823878
## [91,] 1.811364
## [92,] 1.792842
## [93,] 1.665447
## [94,] 1.836419
## [95,] 1.802271
## [96,] 1.818188
## [97,] 1.804684
## [98,] 1.867942
## [99,] 1.869227
## [100,] 2.074969
## [101,] 2.223469
## [102,] 2.254765
## [103,] 2.434054
## [104,] 2.427518
## [105,] 2.428711
## [106,] 2.556128
## [107,] 2.686591
## [108,] 2.698026
## [109,] 2.523537
## [110,] 2.530118
## [111,] 2.548147
## [112,] 2.585752
## [113,] 2.562712
## [114,] 2.553865
## [115,] 2.478927
## [116,] 2.570113
## [117,] 2.571901
## [118,] 2.613799
## [119,] 2.625175
## [120,] 2.574932
## [121,] 2.546068
## [122,] 2.547355
## [123,] 2.612852
## [124,] 2.686237
## [125,] 2.568699
## [126,] 2.601621
## [127,] 2.647524
checkresiduals(iowa_simple_exponential)
![](data:image/png;base64,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)
##
## Ljung-Box test
##
## data: Residuals from Simple exponential smoothing
## Q* = 10.194, df = 8, p-value = 0.2517
##
## Model df: 2. Total lags used: 10
Example: Weekly Thermostat Sales, in Lecture Note 3
therm<-readMat("Thermostat_Sales.mat")
therm <-ts(t(therm$Thermostat.Sales))
plot(therm)
![](data:image/png;base64,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)
therm_Double_Exponential <-holt(therm, inital="optimal")
summary(therm_Double_Exponential)
##
## Forecast method: Holt's method
##
## Model Information:
## Holt's method
##
## Call:
## holt(y = therm, inital = "optimal")
##
## Smoothing parameters:
## alpha = 0.2467
## beta = 0.0226
##
## Initial states:
## l = 199.0721
## b = -0.1157
##
## sigma: 28.4509
##
## AIC AICc BIC
## 559.5132 560.8175 569.2694
##
## Error measures:
## ME RMSE MAE MPE MAPE MASE ACF1
## Training set 3.898555 27.33474 21.73306 0.3575591 9.938754 0.8049281 0.08858778
##
## Forecasts:
## Point Forecast Lo 80 Hi 80 Lo 95 Hi 95
## 53 320.2519 283.7906 356.7132 264.4892 376.0146
## 54 324.7216 286.9611 362.4820 266.9719 382.4712
## 55 329.1913 289.9592 368.4234 269.1910 389.1916
## 56 333.6609 292.7868 374.5351 271.1493 396.1726
## 57 338.1306 295.4477 380.8136 272.8526 403.4086
## 58 342.6003 297.9468 387.2538 274.3087 410.8919
## 59 347.0700 300.2902 393.8498 275.5265 418.6135
## 60 351.5397 302.4842 400.5952 276.5157 426.5636
## 61 356.0094 304.5353 407.4834 277.2866 434.7321
## 62 360.4791 306.4503 414.5079 277.8491 443.1090
therm_Double_Exponential$fitted
## Time Series:
## Start = 1
## End = 52
## Frequency = 1
## y
## [1,] 198.9564
## [2,] 200.7376
## [3,] 212.7019
## [4,] 206.2860
## [5,] 196.6623
## [6,] 186.9019
## [7,] 183.0259
## [8,] 188.0493
## [9,] 194.6860
## [10,] 193.9732
## [11,] 203.3790
## [12,] 206.2188
## [13,] 203.1025
## [14,] 192.4242
## [15,] 190.9637
## [16,] 204.6316
## [17,] 206.3920
## [18,] 207.2384
## [19,] 208.9479
## [20,] 210.0128
## [21,] 200.8499
## [22,] 198.9732
## [23,] 208.2198
## [24,] 194.7615
## [25,] 197.2125
## [26,] 194.4099
## [27,] 185.1515
## [28,] 180.3466
## [29,] 186.7724
## [30,] 190.7917
## [31,] 204.6443
## [32,] 208.9674
## [33,] 202.7328
## [34,] 204.0309
## [35,] 206.4000
## [36,] 224.9864
## [37,] 233.3406
## [38,] 243.7358
## [39,] 250.9024
## [40,] 249.7286
## [41,] 254.3910
## [42,] 270.8442
## [43,] 278.3101
## [44,] 286.4415
## [45,] 289.7075
## [46,] 285.2152
## [47,] 296.4989
## [48,] 301.0404
## [49,] 307.3100
## [50,] 305.0236
## [51,] 310.0295
## [52,] 306.2136
checkresiduals(therm_Double_Exponential)
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAABUAAAAPACAMAAADDuCPrAAABXFBMVEUAAAAAADoAAGYAAP8AOjoAOmYAOpAAZrYzMzM6AAA6AGY6OgA6Ojo6OmY6OpA6ZmY6ZpA6ZrY6kLY6kNtNTU1NTW5NTY5Nbo5NbqtNjshZWVlmAABmOgBmOjpmZgBmZjpmZmZmZpBmkJBmkLZmkNtmtrZmtttmtv9uTU1ubm5ubo5ujqtujshuq+SOTU2Obk2Obm6Oq6uOq8iOq+SOyOSOyP+QOgCQZjqQZmaQkDqQkGaQkLaQtraQttuQtv+Q29uQ2/+rbk2rbm6rjm6ryOSr5P+2ZgC2Zjq2Zma2kDq2kGa2kJC2tpC2tra2ttu229u22/+2///Ijk3Ijm7IyKvI5P/I///bkDrbkGbbtmbbtpDbtrbb27bb29vb2//b/7bb///kq27kyI7kyKvk///r6+v/imL/tmb/yI7/25D/27b/29v/5Kv/5Mj/5OT//7b//8j//9v//+T////6fjkwAAAACXBIWXMAAB2HAAAdhwGP5fFlAAAgAElEQVR4nO29/ZscR7Wgmb6DwdprLzBK2TIfCwuz0Itsmd29BnbusHO1wmJhh4HbIGtgfFkE6nYbd4PU9f8/z1ZlZVblR0RmxIkTkZFZ7/uD1F2Vec6JyMi3Iz8qq9gAAICIYu4CAACWCgIFABCCQAEAhCBQAAAhCBQAQAgCBQAQgkABAIQgUAAAIQgUAEAIAgUAEIJAAQCEIFAAACEIFABACAIFABCCQAEAhKQQ6Gd3ihZf+PJP/+S+7t+/Xrz2L92XnhTF3YDVTfz+zV1h/5d7WSNsW/vFdgNf/agovu9W3KeFU7UyfLpNsjzACZJeoFted7dEEoH+vKpKyV0Sgf7hm9X/UQRax0agAPrMIlAPTaQQ6Kf7ov7hX12jjuIv0O0Sr8US6CE2AgXQJ5FAj0p59YdvbGX1pYBw6gJ9tvXWTwMK6uIv0EOREQR67AAECqBOcoFujfIkzBPqAn0SJvQeAQLdropAARbEDAKtDunvysPFEGhAOX0CBLr9Qek8wiAHAgWIwBwC3SnlrjzcegW6XbSzqgIIFCAicwv0rz/eTkdf+8pvDm/+9cf/uLul6Cu/3v96FMCrP3xzu+RX/3TYs1t7+LPjQfgfdgGLL3z3j73Ve3HbxR2uIW3DfP/Vz7fH0W9V63zyzU5tT3ahqnrfqs6Y7uop3urHGxVoN+K+uKaAXZ1PmmbYqp2uotOh3djb7qre/cJ3j/X12mjoZgCwMu8h/KufN9flv/qn3gvF69VOfTDgX7/RuGBMoM1S2+W+3159ELdTTFugTxrh7MTXqW2nrmf1S3ePEe9uNv2AFoH2Iw4F+mwfzV7tVBW9Du0L9Pd3ulEHbTR0MwBYmeMi0o+K4yHrgb0Anxxf2J8ObAx4vBXqH/4nu0C3Sx/oHB0P4raLawv0zernbbntUPvqt+r6j4eXvneI2D9FYBXoIOJQoDX2aieq6HdoT6Bv9lo0bKOhmwHASnKBfv7LfywaXe5mUl/dHmt/vps33d0vWb2w+fwX9Su1ASsz7N6pboKyCnR3ff9721Svfnmns/owbptDoGpm9+//tPn8j3uJ7Y5sP/lGK9/+pT/sDoOrRK9+UQyu4A/veq0FOog4OAfaimCtdrSKQYd2z4HuV6wmmeaKTN0MAFbmuZH+9WpatZsA1WcHP91PtVrnMusfWwb8XvV6tY/f3f00FGg34E7a9erDuG06Ar17rHn/4+6uq2oa+OTw7qfHCeOTon/dxybQYUSbQEerHati2KE9ge5X3C1211iRqZsBwMosAv3KXjltOzypdv1njVsP1AJo3ap52O2HAv30aLPtel2Bvm6/P6gt0MZkTzqhKi09ORxPNwbqprS1tjis3os4IlB7tWNVDDu0K9DmdEDdm8OKTN0MAFbSC/QL3zle1j7e3/NptbtWH6r88n/643HdvQA6twKNX4U/rtea5A3jtmkLtDZKP+GXNm27tGZ627b1zlJazoEaItoEOlrtWBXDDu0KtDuvHVZk7GYAsJL0HOjuZN1rh3to2lc8iuKwT1e89c/HqdFWAB3FPJsS6Kt/+y8/udM5Sh7GbdMW6FFOx4T1/O6Yr/Wus0ANEW0CHa12pApDh5rvA33W8fexImM3A4CVxBeRPr1zPGzs7++711uvvV7d5ngQ6FFTn44J9JPqBsqK9mnGQdw2uQl0tFoPgbbOYZi6yyjQYTcDgJXUV+E/LTqHyf39fXcj+OGFuxtfgR5vA+0JdBC3TXYCHasWgQLkQ/LbmJ4VjaWsn3H8/P/9ZnXWdLd7ex3C1/c1vvnl7/zX/+/rPYH24raZEuizwznQu4N3ZQJ9NnoOdLTaCYH2O9RVoNVLHMID+JFcoNU0ab+bj12meFXfAul2Eam+QPKsvg1007+INIzbxiBQy0WkekWJQD0uIo1WO1aFoUNHBMpFJIBQkgu0uia/d86z1i1A1XzHsAMf70Nq33Fzt16gpbuu4pr7IEf8e8Qg0H7C729CBWqIaBHoeLVjVQw6dFSghopM3QwAVtIL9HgQ37rVsH4S5rPuJaa7nRvp94u+OtwQ/uxwY2MdsfWQks+6V+GHcduYBGq+kb5eUSRQrxvp7dWOVTHs0FGBmm+kP76CQAEmmEGgx4P43U76+q/rT142u/Tr1XfO7T5d2JZM51OH+z17dz3q9f/cXHCpZ6DVIXz1Scb26sO4bUwCNX+Uc7+YTKD2j3L2LTla7WgVgw5txTZ/8tXwcdVeNwOAlRkEejyIb182PhzVH7m7Md2H9Nq36j27tfZ37nSenVEv+C/H1Qdx2xgFanqYSJhALQ8TOTTkeP1nrNrRKoYdeow98eyV+k7dYTcDgJU5BHo8iH91uFunecDafzs48LXqQ9kHSzS79mvfP1we/nvz6LXvf3bn+DCN/Uv/S+/adz9uG6NAD9Fbj7MLE+gg4iHMp31TjlQ7XsWwQw+xTbfNDtpo6mYAsDGLQFtX4j+pnn/81vF28c9/WT107a2fHq6mN5b4pHp08G9a99e82n2f++5pwI1A68cJ71bu36rTi9vGLNDds4p3DzxqPVA5UKD9iMcwv9/d/f/vWyvZq52qYtChTWzzB7d6bdyYuhkALKQQKADAKkGgAABCECgAgBAECgAgBIECAAhBoAAAQhAoAIAQBAoAIASBAgAIQaAAAEIQKACAEAQKACAEgQIACEGgAABCECgAgBAECgAgBIECAAhBoAAAQhAoAIAQBAoAIASBAgAIiS/QiykcFlEkbbKk2WibWjKGpFa6pMlSZEOgKZMxWtXSJU3GkNRKlzQZAo3P+rZoK13SZLRNK1vSZGy20CQINF0yRqtauqTJGJJa6ZImQ6DxWd8WbaVLmoy2aWVLmozNFpoEgaZLxmhVS5c0GUNSK13SZAg0Puvboq10SZPRNq1sSZOx2UKTINB0yRitaumSJmNIaqVLmgyBxmd9W7SVLmky2qaVLWkyNltoEgSaLhmjVS1d0mQMSa10SZMh0Pisb4u20iVNRtu0siVNxmYLTYJA0yVjtKqlS5qMIamVLmkyBBqf9W3RVrqkyWibVrakydhsoUkQaLpkjFa1dEmTpcxWFEXCbGy24CQINF0yRqtauqTJEmYriqQGZbMFJ0Gg6ZIxWtXSJU2GQLXSJU2GQOOzvi3aSpc0GW1TAYHqJUOg8VnfFm2lS5qMtunAOVC1ZAg0Puvboq10SZPRNh0QqFoyBBqf9W3RVrqkyWibDghULRkCjc/6tmgrXdJktE0HBKqWDIHGZ31btJUuaTLapgMXkdSSIdD4rG+LttIlTUbbVCiKDQJVSoZA47O+LdpKlzQZbVMBgeolQ6DxWd8WbaVLmoy2qYBA9ZKtUqAAYKcS6NxFgBRmoFGT8edeLV3SZGlnoBcJp6BstuAkCDRdMkarWrqkyRCoVrqkyRBofNa3RVvpkiajbSogUL1kCDQ+69uirXRJk9E2DbbuRKBayRBofNa3RVvpkiajbRogUMVkCDQ+69uirXRJk9E2DSqBJjQomy04CQJNl4zRqpYuaTIEqpUuaTIEGp/1bdFWuqTJaJsGCFQxGQKNz/q2aCtd0mS0TQMEqpgMgcZnfVu0lS5pMtqmAQJVTIZA47O+LdpKlzQZbVNgZ87NRUKDstmCkyDQdMkYrWrpkiZDoFrpkiZDoPFZ3xZtpUuajLYpgEA1kyHQ+Kxvi7bSJU1G2xRAoJrJEGh81rdFW+mSJqNtCiBQzWQIND7r26KtdEmT0TYFGoEmMyibLTgJAk2XjNGqli5pMgSqlS5pMgQan/Vt0Va6pMloWziVNhGoVjIEGp/1bdFWuqTJaFs4CFQ1GQKNz/q2aCtd0mS0LRwEqpoMgcZnfVu0lS5pMtoWzlGgqQzKZgtOgkDTJUuarUj59bir3hOT9SQCVU2GQOOzvi3aUBRJDbriPTFdTyJQ1WQIND7r26INCFQLBKqXLmmyhQn05cOy4u2Pd7/dPj4rywdPEWg72Tp3+4oV74nJenKfBYFqJVuYQK/PWgKtbbqXKQKtk63zzF3FmvfEpBPQpmlpcq55sy1NoFflu8dfzsv7Tzc3j8r7LxDoMdkqd/s9a94TEahauqTJFibQ8/L9w8/XZ/U89N5HCPSYbJW7/Z4V74lpT4EiULVkyxLo7aOWLJ/Xs9HnLakiUASqly5hrqLYpD8HikDDky1LoC8f3v/dB2X5g+q60Xn5YfVi57AegaYWKBeRNECgeumSJluWQJtrSDt1Hmaj12fNSdA3auQJwItqt5+7iFWQrCe7Wdh6CyRgm12V5XsvNn97XG7diUDnB4EqUaTqyV4Stt4CCdhmzWnP3bWklkD7NzLlMfE+ZkuabJUHnnvWeyy4E1mSnqyTbLq/xsW82aKd/Fnf7qYn0Iar8v4LwwwUgSJQzXTpUu0EmsRm2Qg03icH1re76Qt0N+lEoOZkCFQtXbpUCFQxXZSotmRLFejWmVyFNyZLLNB03022YoEWcwk0SU4EGpxESaC3j9rObO7/5D7QTjIEqpYuWaZtH56aQDkH6pNESaDbSee7R5HySSRjsqQHnhcIVIO9QFN0JQJVTrYsgV6f7W5juvmg+vj7VqPv8Fn4QTIEqpYuWaZkAm0y5CFQDuFdk2gJdHu4vn8AU/VRpBuexmRIhkDV0qVKVJygQLeJEahzEjWBbm5+WJb33qunnDePt/580J9/ItBUVAJNaND1CvRiLoGm2HoINDiJnkCdyKPZx2xJkyFQtXSpEiFQ1XRRotqSIdD4rG+L1iBQHRqBxu9KBKqdDIFOEX6ue31bdE+13yPQYIqTFWiU3Ovb3RYtUIUbfte3RfcgUB32X/OWQqCH+LMLtEqLQF2TINBkIFC9dInyzCrQBJsPgQYnQaDJSC/QdAZdvUBjdyUCVU+GQKfgHKgNBKpCccICjZF7fbsbAk0IAtVLlyZN/SUbJyjQOLnXt7stWqAKnzhb3xbdg0BVOEWB1kkRqGMSBJqMdJLZH3leINBAZhZo/M2HQIOTINBkIFC9dEmyFG2Bxu3LY/BsBBoh9/p2NwSakBkEmsygKxXoPtkpCjRK7vXtbgg0IQhUL12SLAhUO51+yJFkCHScQuEzu+vbohUIVIVTFOghJQJ1S7JkgYZv5fVt0QoEqkExu0Cjbz4EGpwEgSYjmWTqax/HH+OzToHWyTbd32Pmykmg+rnXt7sh0ITMIdBUBkWgOrnyEWiM3NnubuK/FgsWaIFAbSBQFRIKtBUagWol87scLWvtogV6gUDNIFANilMUaCshAnVKgkCTgUD10iXIcfxs0Kb/Srxc/aZF3nzjAlXPnevuhkCl5LpFw0CgGpy6QCPkznZ3O8FzoHWTAzdytls0CASqAQI9JYGKkyQWqBpF0f4PWnT7hB6SUQw7Ll5XWiOn3nrtfCc0crSauqgZaNifjjpb0NqeRPqmLkOe6r8EN98cWd8MtHVj0enMQDvpmIG6JEGgqVD4BhLXRNV/CDQIg0Cj9WU77pjS1JkQqHZuBIpA5SBQxXTxUyBQ/dwINBuBFgh0JFH1X7YCVeiG+NutQKCnI1B5Qxcs0NCm77MFre0J50ArNP6QpBDoMRkC1UqnHG88GQJ1aPLCBJpCZocP0PR+j8ppCDRWX+Yi0F4y9fGKQLMTaOAAW+MhPALVIBeBxt184wJVz41AcxFosUiBbhDojoWcAz0mQ6Ba6XTDTSRDoC4tXphAE8gMgSpQpBRoJyoC1UqGQF1avCiBJpEZAlWgMyc8YYHqJkegCFTOXAJNktTzHGhwutAAU1gEGqcvcxHoMBUCnUyySIEWCxRogUD3INCxZMOmxdx8CHRHQCsXK1CNxl8kFuhmk+JW0EMGBCqnQKAxciNQBCqmEmgCmSFQBbpKQ6Ba6VSjTSVDoC4tRqCDPPUPCFQOAm1eUU2OQPMTaNj4SrdFi0agsW2Wu0C31SxYoDE6sxtyPoGaEiHQqSRLFGixSIHumzaDQFMY1G+0BhcUebsVOQk05uZDoDtOUKA6rUegaixNoONHAj2lIVCtdJrBJpMhUKcGL06gcW12DI9Ax4oY3Q4I9PiaZnIEikCFFI1AY9sMgboVIRVohM4UC1ThoSyTfxtOQKAhTVykQItFCvQCge6oaslcoMUyBKrwWKvpGwwQ6ESSRQpUq/mxz6W1lzsKNKrOEKhjGaMC7SabWaC2lAh0PBkCdWrwrAJ1HsNHgUbWmUmgCQy6PIGOFJFWoP1sk0scXk0jUMX2ItAx/vLDsrz34Gn188uHZcXbH0cXaFj75avWuRHoPtnyBHqxaIEWGv50+YwAAh1PoibQ3+6Vee+j3S/XZ/EE2h828wnUfRAXHYHG1BkCDa6iv4EmnvkWikig9biLPwONL9BY+8PCBHpV3vunzebm0d6ZV+W75sUUmt1v70wCLQqPSUC1VNO0mDprxc5SoPtK8hCoqzLyE+hx2AUW4/Co09gCjfZNN8sS6O2j8sPd/9tj993/5+X76xbowZ2uM9ALBLqjriR45hS2+ngZ2Ql0eNLq+AICtSZblEBfPqyP1it13j7aH8mvVaDtjS4RaDyfmQUa36DLFKhZP5kLtCucsGqcBKrX3iwFGnYVWkugByqBvnx4/3cflOUPnkYQ6KC7kwu0u8ld0hcdgcbUGQL1KcN2eaaXbNNfIDD7aLQJgQ58E1ugms3N8hxoXgJ9+XA392yuIe0P63e8UROcYFP0ixy8EJdqBHum7y0TsWJL6MR9ZKcuZOZ6jukNhUzWplu83/jpDT7FaqxxYm+rYZPSopk9PNTz6urRVVm+92Lzt8fl4Uh+JQIt+vqsXnJYbexXTTIXaFNHNgI1VJKxQI2u0SnHHgWBesQKDXC1V+bz+iL88FpS+MR7OOMOmIN7HApar7o7pN8v0jqEj3VE3Q6c4yG80sXj0EP4zknEsTf3yWY/hD/cNWBMHXQNxFZGO7dae22H8JwDbfx5du/Dzu/l/RcrEaj9niV/gcbzGQL1KsNUynAjZyJQq2hCxr/LkEwg0BjDc4ECfV72Lr5fn/XvpA9utmwKaM3mvKR9M09v/mJ2gUY36HIFOrxHaJCsn021Mx0FOqaZpQs0zuhcnkB/2/fnVqDqM1BDc2cW6HT+eoH2aI3ks8wF6nfv11i6oLVHlZmjQCc+sSGvJwOB7ifXWhnayRYm0Nvz8p16utncVW/4QFJws+cS6Ij0/AUazWcI1KsM0++JBTo8YWBcaPxPrrggpzvr9P7c2wUaYXh6HhRJk6gJ9Lx1vvN8L86DSNchUP93ugsg0GMVgfXoCrR9DGzYl/MXqPgg3u3W5OgCjTI8FybQ5+3rRddnu9uYbj4YXEMKFqhpIKU6hBe81Xm/I9A4QkOgfmUMXzAUNr9AHYaYLDsCzUWgzfPrtrxb6XT/MKbBR5FCm21qbiKByt5rve3w6JtAOlHjfgCxx7IFOl7YsG2Knekm0OkwsuwINBeBXpUdgW5udg8Hfa8//0SgjqsIyVyg4xM9r3QhK4+OoaUKVFZRPgLVH57LEqgroc02NjfgKqTzkgFn2c0CjSE0BOqCeQw17y1ToMKS3B4QpjZY7Z/zR6BpBCq+ld2WzXXBgKughUmgcYSGQF0YG0Om9xYhUNlBvOMTFiMKdKTfQ5MhUNfWJhGo+N3Dmwg0Y4GOzIQMbVPrTcM1f7VIDmQkUPXxiUCdW5uBQF3OkPYEGsFoCNQFS27r1YxlCFQ0Bc1GoBHGp+91TWESBOpEwAgzCzSK0UYEGtmgLqO1XcGMArWmLix/1pYiUEFNzgLVaS8CPVWBhtyHl06g3ZAIdLqM/hvG9xYiUElRddMm10whUO3xiUBNrZ1NoOL3CwRqqiDw1FPAuvbMls/7LEWggoP4fASqPz4RqHNrcxDoyF55SNYTqLrREKgL4wJ1O4RX601dgXoXhUAR6Njr09kclwsYYTaBRjAaAnVhvQL1n4LOLtBjYPUJBQJ1b21sgbo88nP6nRMXaLeA2QQ6frYlsUANYeL8bbDgLlCV9o6eC0Gg0QUqfyKnNZvbYtPxR0qzC1RbaaMCjWvQVQjUskmWI1DvsvZNc1gLgdqSLEugvm9MZnNbLGCEtV7vN017xPTiIVCHMpySmbLp9Ka2QH0P4vMSqO4A9b01WZgEgTqAQKdAoCL0BepXVk4C1R6gCNS9tZEF6vK3USRQ3RGDQF1Yt0A9p6AeAtVoLwKdVaABX6phzea0lEt46y2qdoFqj5i8BdpLP5dABXmXJVCvupwFqtPeKYGqjlAE6t7YDARqWaj96swCjWpQBCpCX6B+hVVNCxjenkwMSQQ6l0DF/eB4oS6aQFVHzKIEGlbN/AJV6U1TjFCBeo0qBIpAp94az+aykFvw6UeVRn2u5DAaAnUpwyXZogQ6+QV0nWQeAlVo76RANUcoAvVobAYCNS+WUKD9YHkJdJB8+QIN784FCVRl9EwNSQQaU6Bj4yJXgRZTAlUcMQjUAUlWyzlQhY2HQGcWaHDCZQnUvlZMgbqOR7NA28nGL0KGgkAdWL9Avc+Bhhxgec4BEOhpCtQt1uRX1s8t0JgGRaBa1QQL1KeNwQL164ZpgSqO0HUKNIBipLqx92LmnVpwat1CsfDpUDF7yTv3PMXoZdXYdHH6wLMyx6UNUYsan2zjqVMPCu18Oc9A3b53yPcPiMMyzrGHCxZTM1DNSWHWM1BT37jEtWz1+WegGr1pjBA+A/WozGMG2lmu6OBc2OSN0MxAYwp0ZK2IAnUfIMMluy/EFegg0hoEats/pZYR9QACraMW9X9tcQadAzXsMHpDFIH6tFXYE7p9jECtrFCg4d0ZT6CulW2b5uFP85xTcwaqOUQRqE9blytQrRGzNIE6VYNA9QKbEAjU8I5zXQh0PoFOmCYTgY5eVIz4mWpToLhnXPvJ4gj0AoGqBTbhK9CwbE4CVRui3g8IkyVZjkBHV4smUK8tOhBoN9npCtQ4cUGgSxLoyJ6gKFDFIYpAfdoaUaAe4UQCVRoxCNQlmmStJQrUsTQfgY6kc12w1zbxqHBLhkA92rpYgaoZdL0CNSyXhUBDu9O8uoZAnSvb3QmZLpubQLXGKAL1aWsuAh27PhnvEy3DXBerEahxOQQqCW1IpiJQ5ymog0D1xigC7TZ1HoF62q2zdH/d+QUaz6BRBTpcEIFKQhuSKQnUNZ3Dagg0kkAn1hPuG1MLeIbtCbSX7GQFKt5TqmXUBCr9K7tEgbqVpiRQ1ymom0CVxigC7bR0KQIt2r/0ksU8B7pqgTq1zTGaP7Ln20yi/SnVXnCnxdQE6pjOZS0Eqi9Qh2laHgK98BeokkFXLFDHtrlG8yaOQLU/I9CP7rSYkj9dp6CZCVQhEwKdiioX6GDdaLfDmIPkLlCXYhCoPLrLYnoCdUvnso7WMTwCbbd0NoF6BuwItJ9M9iEr37yHdG6L6RBZoIOudK3LN6GJGAK1P8dIR6CuRlMbEHoCHSvd69FPCLTd1HnOgQoEWhx/7CeLdDHCEsLSkcGpjIxuWetUYzJsvYiOQKVt1xfo2HPgkgo04qMYTIQK1OuKKwL1IhOBXiBQ56Q+Au2fDXGtyzOfkZG2iUKOayClQLVuAaliOSzjKlBbLAS6MIEKhpdMoMFbcp0CPSyxHoHap55NNt+I1jyOxejkUxTomFkRaHizLYh6Y1KggjKK3g/HZHFuh7FFiPrB0UEyBOpWwqQClATqeJND2mP4MIH6+ROBepKJQC+OAh0km1+gXkNQbbRqCLS77DIF6tT7KQWq+vdUU6CGd/Z9h0DDm21h2QIN3ZQRBKp2vCS42jpYQkGg4j5WEqhjfyaegSplc0vYadvoxXbDS9WLmofwGo1HoOMhRQK1XDlWvxgxsb5VoG7Ncl+yShZdoJ2FcxGo+8Vu587UE6jLNTqtbFW0ySXkAm2dGXMuZ2pRBNohikDlhRg236hAwzamq0APu/Lk2GrhUkBsgV4sWaBef4vUlObSvboC9Ts94SHQVu8pHkAh0A7ZCXSYLHgm47X6aLbR0VW/XZ90ctr3RW2bjNsRaHvhBQrUOZvrgtNZp5cQ723meFMLuAu06P1qOxQZKWbZAr19fFaWD54i0HaybAQ65sXhOy4OFZ2e8DrGQqCeTOdUF+hUQleB9re8dRyMFrNkgb58WO54++MlC1R4XN2c7R4mG58TSnIdVx++Nn0OfTjEbAebkw7NX6DyDpbcYdBfyD25ntIcztPoCnRyCioR6PDPuWsxSz4Hel7ef7q5eVTef7FogcorMW298B3Ra+3pjuxpcfxUXfOmeYkUAm39tiyBev11TClQ+d4my+gh0OM5z95yPjPQqSXcIo0RSaDXZ9Xc8+XDex8lE6ioPyIK1JBsfEcM2Jxmp7mt2WjT4UB95LJSfIFeLFmgPtk8lg1Lqy/QqSloO9t4dfW7hsHmuqMs+hD+eflu/f/7JylQyxf5RMlmXdexI4tixIuWpQ3JUgj0+CsCdWBiixYxBDreUl+BWk4nOZYy8agpDX/GEuh5+WH1/1Ut0kUKVD4nXJRAL9yuEnWWNSSTfMrK8xgLgXoyLRBtgU5MQX0Eaj1bdAICvX1UH7pfnzUnQd+o0UlgpFC+CUser9p2/ivJ6w9seiVFj4U9g0veMr0f0kPqo8MjcFDdIYzmjVOVe8yJ9IV1ULrVXUzuhDHaj0BV4nkJSSFfcNO9yp1NoEHNnFWgkVIHJY5Tlc8f4vF3rfuQ22DdLTS+5DIE2r+RyWFOLJ1N6x/CyyvxvVIdli/0EN43WaJDeMP1g0O60RUFucYIPfXil1r1EH7qTiH1Q/jxY3ivQ/iR+0Fc6tjdojW65LIO4Zcn0JDL4kKBBhjblE4aTZJN9qQpz5NUxx5akkA9t2uiD1cWsQQ61th0Ai0QqDfqApUW4n+hJTCjecU8BBowhofvLlSgftm8lhan3r+lL9DRKWgr2/QFRPHNG/UylUDFf70diSPQea7CS3okM4GK72/IzlQAACAASURBVJsyvbpKgdYvebctZG8JPPVyagIdaa6HQEczTK9b36K1VIE2938mvQ9UV6CBR/ASgYo36ckI9AKBejH6ubIqWYRBEl2gLutOC1TFn6v6JJK2QMV1CM+BLkigw3zJBLp/bUEC9f1LnObxHk0/xhCovb3JBFosXKC3j8p3Un8WPieBWpI5PN5DEteyWjSBmvomkUAvlihQz2x+i49jS15EFOjIFFRNoC7nnfcCDTqTOk0kgW5u0j+NaQUClSW1XbDMQqD+ihx/M0OBhrTRlM1v8XFsAjmcCokiUGuLlQTqduGuattSBbq5ebz154P+/HM5Ag16toctGQL1edci0P25u7Go3mVMECRQ74Gku9nmEKh9CppKoMXyBWrDoSJxY3QFKi7DnsxBoIK0cwh0kC+VQC+WJ1DfbJ7Lj2PrxLkFGrZ/OV23Q6C+LF+g4imoMZ0glHPGQbJ0Aq12jrGo3mVMsEaBNsniCNTWZj2BOpx3rgU6cRktkFUJVNAn+QlUNAU1p/OPJM8oE+jo22NHnwjUkYkHGsURqHUKqiXQyb/LB4FO3ocQCAK1RZpHoJLNaqs1B4E6HWv5vZefQMdvlplXoJZbGWIL1NLoZAKtko0KVGkHR6BakVySxRKoJZ13pICUKQVaeLctbHOGCdQ7m+8K45gFekgWaZBMnlVCoAjUGzeBemeeRaD9nOa2TbZGoh4E6oOhgCK6QKevawYLdPq0SSPQ8fsQAkGgWpFckrk0bRECHeY0tm36QfcygRaLEajg76G6QAcVtF5ZqkAnDl1aAh09ExQOArUEQqB+ORMK9GJRAvXP5r3GOKco0H0yBOqLokDlRYwkcxOoZ27rCisWaJGXQFUv9UYXaBFfoJPnQIN3MARqr0jemjUI1Du3dfm4Au1lTXgOdPeWX9sCN+fSBVr0X2glizVIJmagCgKdPG1yEKhxSQRqYCUC9Us+i0AHWW0zUM8wrm8tRKCSU0Hqm20WgZq7RE+gDqdNmrYhUHe8e8V2882MAvVtRNYC9Q3j+pZfH80oUEE2/1XG6RVRIFCVApokCFQhjGOyGAK1u2QJApVdf5k+t+pdxxjyj+DmKdB2sgULdOq0CQL1R0egkSag7gLVkUNkgXbzqgt04j6VRQhUNJAiCLTo/tpOFlGghrYrCnT6tMlRoIYlEagRFYH67p7uyRybtgSB9vOa2ub43TWeb1x4b6HQrRkgUEk2wTrjdMooEgnU2Pg0Am2SbUaWRKBG1iJQFTtkIFDvMI4rJ52Ark2gnWTzCFRj/0KgtooCmrMOgfo0Y6TUFQtU62+MG2sSaJFQoMPW6wp04rRJS6DDJRGokVWcA/UUqD2dcxAJ0wJ16kahQDeZCdQyy8lFoEXr526yiIMkskAn/2gd24ZAXdGagQaUMJbMXaDOFcwo0KmpjFMj5AJV+SPjhFygomySlcZBoI4r+7MygXr3i/DasQz3pi1AoNMn06IKVKeL3FiRQJ1unlDLOmh/fIEanzQ1XFJtH0eg4THckyFQ54UmVl6CQIVHMlEEWhx+6iWL+3nf/ivKAh3/o9UWaH9JBGpBQaDRjuC9BOpYw9iCMwvUrQ0BAlXoIjeET9ES5o2x2VYp0KlZf6ttKxJoZIrwFiiECMe1iBmLLSZyO5ZmWWx6bef4U4XqMEySxUDa05SSpiuOWS3ZlKowhTGHHrwaqx+YgUY8gvdpmuu0aWyxyDPQbm7TDNQ/ivPaG4/4wVNQ2QxUmjbmDHRQUtQZqCGd5XVpeMOsf+0zUIeKQtoTLtB4R/BeTXMsI1+BBv4JcBGoYw/NJlBhNtlqo9Rd4PpNLHpp++ksr2vF77zSEWhhXy4IBBoawSeZ1wzUpZDRheYWqCCK8+ob9wxznQPNSaAXjUAHyU5DoIMlEaiFYIFGnIBGEehYOudsMuYXaNB9Uu7IHoSNQIdbKLZArY/qQ6CuePaM9MydiNUJ1DJa63ddo7i/2krnnEJhe4oEKv5LHE+gphszk35cTV+gY14cEajeXo5Aw9b3S6Z+DnRWgVqPl/bvnbxApdmE641SbQ5DScsW6PjEsivQwrpcEAi0v3omAnWqZHyZmQUqCOK+ei1Qly5yrGMs2fIFejGXQLspN4datOKP/N5pGwJ1JFigQdknknk1LdgOqxeoUxc5ljGaTCBQ+V/iaAI1Ph4p6actYgt05FmnCNQRBHpM55NNguWmu/5bU0HcXz3iuieqbE/JV7HIE8cSqPkR8UsX6IgXEaiEMIFGPYL3FmigHqIL9GJMoJIg7us3e+JUGpXNuQaBXswl0K7T6hcV49t/6wlUZ+v0QaAha3vi2TQEasfxaoTO9lyLQE3Jkt7rFlmgo09YRKBunJJAJyZgJyHQ8eV0NqdAoAGHMqs6hE8s0M57CFRCkEDjHsH7CzRsfjWjQEMfdzy5epNtfEGlzem63VrpAjKvTaCd6zr1a3HCTwhUZev0WZ1APTtHPG+S4Nu0BQj0UMHIn/vJIG6vdXAUqHsVo8kQaEjidrrBK5rhRwWqtHX6IFD5ut6sTqAXGQh0ZEmtzekv0JBDmXWdA00o0Imn7SNQNwIEGvkIXiDQiQPUXAUa/J2ZzgIdXVJra0oEGpBNvqog2fIFau10BCoiSKBhqSeT+TYt7AzfnAIVxfAIgEB1SCHQVl/oC3Sk0+23JiPQERDoIZ1nNgGGL+Hev+wVw+21Di2BWhdV25zO2+2QEYEeSSXQ4aOfrLfYINAR5AKNfQQvEehYRRkI9GJ2gY4sqniriuOCTS1BIwmBysIPwiJQESECDcs8ncy7aeOXSHIVqKc/hktPr+8gUL3NKRBoSLaAdf2TJb1VI45AbZ2OQEWckECn0vlmE2ARqCyGR4C2QC0La+4kjgsiUBM9gWrvZnW86a8rsas2gPUJ1K975PMmAasUaF3FbAK1Law6y3Bc0Love2ULWNc/2YoE2n/D+oxvBDqKXKCBiaeTCQRqLyoLgV4YBOrrj2CBGpdW3Ulcl9yXEjaSVijQ470aFwjUzl9+WJb3Hjytfn75sKx4++OlCDT+BFTStLFrzPkKVBZi7JU+k6dedHcS1yURqInYArV0+tIE+tu9Mu99tPvl+mx5Ag3M65BMV6CT6byzCchWoH41jCdDoEHEFeg+oMv3PTXL5CnQq/LeP202N4/2zrwq3zUv5lBRYJNWJlD5RebTEajpRii/GsaT+Qk08FgGgUrCG6IO25azQG8flR/u/t8eu+/+Py/fX5ZAExzBi5qWv0D3dWzkPTlY3iHA1AcgVLemx3bb5Q3MvUaBHu7VuECgFl4+rI/WK3XePtofyS9JoIFpXZKtUKAXBoHKIoy8MGRSoJ41jCdDoGG0Baq/o+387PZ9TzkL9EAl0JcP7//ug7L8wVME2k4mEqjtLh0EelxeEMEDP4GGHssgUEF4U1STQC2TVTnqAn35cDf3bK4h7Q/rd7xRE5xgmkLQikKyUhIshWVTb78QQU8OQwQGSHA7noVtJdlsmXxoj4kI3ePe6dViMTdQeOjn1dWjq7J878Xmb4/Lw5F89gLVr0OH/AVa9H4XhBj/PUUNSiBQI7EF6vpXO3+BXu2V+by+CD+8luQwJw6dVftM0ZtkKY7gZU2z3SfueZgbj30lm4Ce7K/i37beGsob02e7mR/87pUtbHXPZEnP80Q6hLd0uqFt2R/CX53d+7Dze3n/xRIEmuIavLRplvvEEah1De2NiUBDOdyrEU2ghleNAg2/yNdPEijQq/a5zudl7+L79Vn/TnqHikLbJBJoaFKnZJoCdUgnyeZPV6ASf2gItL2K9sb0FGhotsD1/ZIlHSTRLiI5f99T3gL9bd+fW4EuZQYamtQpmVCgpvvE8xWoNILtVyO2T+ntf/EvYTyZz1V4ZqAmDgKNdQS/WIEeuT0v36mnm81d9YYPJDlUFNomnyG88V4jAGHTshforpaMBKq+MRFoMHWvZCBQ8y1PYhQFet4633m+F+dBpCkF6jWGG4EG5nRMpiZQpxam2hPbAhXpQ0Wgx5XUNyYCDSemQN3PgWqco+4n0RLo8/b1ouuz3W1MNx8MriEhUH8MzXEqeB6BSgNYfzVi+5CJtITxZJwDDSaqQM0sS6DN8+u2vFvpdP8wpsFHkWTN9sFfoImO4MVNQ6ADLB8yqX4SVDCRLK3TkiZDoKFJlAR6VXYEurnZPRz0vf78M9U5UOdOqgUamtIx2VoFWoQJVHAXkuUWP3EF48kQaDD1mXIEGoqs2b6sTaD9ArMS6MVRoMLRqSpQSQETyRBoOJkIVPtwc6UCdd5Om4t0R/Dypg1vlMxWoOIA5l9sWO6RjvPHEIEqsBdoQn8i0BBcu2kvUI2MLsn0BOqUTpjNmywEWq8XY1siUAX2J3pmF6jCbRK9JOsUqKtBlyJQ/8ssSQVa7NsmHZt6Ao2yLRGoBgh0UQJ1P8xNdgQf0LS8BXpxFKh4fcsvNiz3SEeZgCJQFRDosgTqfLN5um2qJVCP2XUashDoBQIVJEs5SIoMBMo5UHfcnliUbgIaJFBvxZyiQCNtSwSqQh4CVU+yXoG6uDGD+yqcWIRAxf7SEWi0v4UIVAUEujSBOuyLCFSD6oHgASdD2ivKT08wAxUkSyrQhEd7FwhUg8kNtkm5TYMEWhh/Hk0nzuZNoEAvOq1zWQGBKiVLmQ2BLlCgE1tsMccU3opJL9CA3QOBtrIlTYZAQ5OsWqCTOzUCVaEWaMD6ph9H4ByoUjIEGppk3QKd2qmSbtIwgRbHHx3TybP5sjsJOr9AY4FAdUCgCxTouCIXtEWzFugFAtXLljRZ0mwL2t3ck6xdoGNbLfF1QR2BOpecWKAhXYlAW9mSJks9A13K7uaeZPUCtRunWNIWbQnUNV1ANl8qgYasbvpxhPVaZsVNW9Lu5p5k/QI17pPFAfV0VgIFWjQ/uKYLyOaLmkDzu0ULgWqxpN3NPckJCHT4LI5GnUs6KZO5QIO6EoG2siVNxjnQ0CSnIdDObeitnX1Bo7Wu2fPrSlIRtm8g0Fa2pMmSZlth205DoBfHCWdvprSgLer9yPUFCdT7DO+Ctpt3tqTJEGhokpMQqPWU55K2aM4CDT29hUCP2ZImQ6ChSU5JoIZsMZLZQKAj6/d/GGdJ2803W9JkCDQ0SWKBzkS1g89dRCBVCzJtRmj/HlbOs3kATqx2Bmo7R7eoP4n707ju6cKy+aF0DjTHDwkwA9VLlzTZKmegeTT7mC1pshULVOX0BAK9WHXTVtg2BJoyWbBACwRapwvK5glDUi1d0mQIND7L2qII9JAuKJsnDEm1dEmTIdD4LGuL+l3rXlLbEOgxW9JkCDQ0CQJNl0xDoB7pArN5gUDVsiVNhkBDkyDQdMmCs61WoMcPqjqmC8vmB0NSLV3SZAg0Psvaous9hPf9lMCi2uaZLWkyBBqaBIGmS4ZArSDQQ7akyRBoaBIEmi4ZArWCQA/ZkiZDoKFJEGi6ZJwDtYJAD9mSJkOgoUkQaLpkjFYrCPSQLWkyhmRoEgSaLhmj1QoCPWRLmowhGZoEgaZLxmi1gkAP2ZImY0iGJkGg6ZIxWq0g0EO2pMkYkqFJEGi6ZIxWK5U683xYNENSL13SZAg0Puvboq10SZOF36KFQPfZkiZjSIYmQaDpkjFa7SDQJlvSZAzJ0CQINF0yRqsdBNpkS5qMIRmaBIGmS8ZotYNAm2xJkzEkQ5Mg0HTJGK12EGiTLWkyhmRoEgSaLhmj1Q4CbbIlTcaQDE2CQNMlY7TaWe/XlfhmS5qMIRmaBIGmS8ZotYNAm2xJkzEkQ5OoCfTlw7Li7Y93v90+PivLB08RaDsZo9UOAm2yJU3GkAxNoibQ67OWQGub7mWKQOtkjFY7CLTJljQZQzI0iZpAr8p3j7+cl/efbm4elfdfINBjMkbrCOt9WLRntqTJGJKhSdQEel6+f/j5+qyeh977CIEekzFaR0CgdbakyRiSoUm0BHr7qCXL5/Vs9HlLqgiU0ToGAq2zJU3GkAxNoiXQlw/v/+6DsvxBdd3ovPywerFzWI9AGa0jrPfrSjyzJU3GkAxNoiXQ5hrSTp2H2ej1WXMS9I0aeQJYN1uBzl0CQBgBQ/iqLN97sfnb43LrTgQK3iBQWDwBQ7g57bm7ltQSaP9Gpjwm3sdsSZNxvDQCh/B1tqTJGJKhSbQE2nBV3n9hmIEiUEbrOAi0zpY0GUMyNEmgQK8OJz5rdpNOBGpOxmgdAYHW2ZImY0iGJtEX6NaZXIU3JmO02im4janOljQZQzI0SaBAG24ftZ3Z3P/JfaCdZIxWOwi0yZY0GUMyNImSQLeTznePIuWTSMZkjFY7CLTJljQZQzI0iZZAr892tzHdfFB9/H2r0Xf4LPwgGaN1BM6B1tmSJmNIhibREuj2cH3/AKbqo0g3PI3JkIzRqpYuaTKGpFa6pMkWJtDNzQ/L8t579ZTz5vHWnw/6808EmjJd0mS0TStb0mRsttAkegJ1Io9mH7MlTcZoVUuXNBlDUitd0mQIND7r26KtdEmT0TatbEmTsdlCkyDQdMkYrWrpkiZjSGqlS5oMgcZnfVu0lS5pMtqmlS1pMjZbaBIEmi4Zo1UtXdJkDEmtdEmTIdD4rG+LttIlTUbbtLIlTcZmC02CQNMlY7SqpUuajCGplS5pMgQan/Vt0Va6pMlom1a2pMnYbKFJEGi6ZIxWtXRJkzEktdIlTYZA47O+LdpKlzQZbdPKljQZmy00SWKBTrLir01acdNo2zJZcdNmaRsCjcmKm0bblsmKm4ZAV8eKm0bblsmKm4ZAV8eKm0bblsmKm4ZAV8eKm0bblsmKm4ZAV8eKm0bblsmKm4ZAV8eKm0bblsmKm4ZAV8eKm0bblsmKm3aqAgUAWCYIFABACAIFABCCQAEAhCBQAAAhCBQAQAgCBQAQgkABAITMLdDbx2dl+eDpzFXo8/Lhu/VPK2vhX35Ylvea5qytbR9s2/a/v9j/srK2bbk+u79v27qa9vJhWfH2x7vfUrdtZoHWjd+3fU2cl7VAV9bC3+4H672Pdr+srG3P9217p2rOytq25fZRuRfoypp2fdYSaPK2zSzQ8/L+081Ns2VXw+152Qh0XS28Ku/902bXnGqErqtt12dV2z7Yb7l1tW3H9u/DvjEra9pVs6vtSN62eQV6fVb/2djPaNbC7lCw3qrrauF2EvPh7v/t3/kP19a27b73/u6/fatW1rbNfqJWaWVtTau3W0X6ts0r0Oe1Zp63+mD5bP/Uv/fnQ8vW1MKXD+tjo2rQrqttDfs2rq5t2799/9v+HOjKmnb7qCXL9G2bV6Dn+wlNdxa+eJ6/87NDi9bZwr1A19m2/aWW1bXtvHy3voi0sqa9fHj/d9sjvh9U143St21WgR7+eByuD66GeguutIXVIdI62/bns90+uLq2XW0P3/dtWVvTmmtIM202BBqHdQu0OlJaY9vOy/Lezzbra1v1F2+dAr0qy/debP72uJznb3ouAl3LPRUNQ4GuqIVX1W1MK2zb7f/9v56V9/6P9bWtOuUyEOgqmvb8cLLs/TnalotAV/HHsMWaZ6BXZ/d2Z5pW2bbN5i+7Y/iVte15df19nTPQht1JihOega5qW25WLdDn9W30a2zbjpn2xIhcn1WtWbdAd5POUxPo2i4ItljvVfjfls1tI+trW0W1862qbfVHrOqP6KyqaUdm2mxz3wf6fuf/9XDVuyFtLS28Pa8/6rhZW9uaDwns98RVta0r0FU17bjZqj0ufdv4JFIcrlb5SaTqo3KHY6OVte38cNDw7uraVlEf166saefNybJ5Phw3r0C3rX5nTR/LPdIIdGUtfN5ux8radn22ux/m9rf1LQaraltFLdCVNW2/2W4+KPcneFO3beaHidys68EwRw4nYVbVwubJYfVH/VfVtuqOwupJU9Uh4cratqO5srKyptUnKN6uPoqUvG1zPw/05vG2uQ9W8aeww/Es9ppaeFV2BLqqtm25aT/rdGVt27QuTa+sadVme69uTuq2zS1QAIDFgkABAIQgUAAAIQgUAEAIAgUAEIJAAQCEIFAAACEIFABACAIFABCCQAEAhCBQAAAhCBQAQAgCBQAQgkABAIQgUAAAIQgUAEAIAgUAEIJAAQCEIFAAACEIFABACAIFABCCQAEAhCBQAAAhCBQAQAgCBQAQgkABAIQgUAAAIQgUAEAIAgUAEIJAAQCEIFAAACEIFABACAIFABCCQAEAhCBQAAAhCBQAQAgCBQAQgkABAIQgUAAAIQgUAEAIAgUAEIJAAQCEIFAAACEIFABACAIFABCCQAEAhCBQAAAhCBQAQAgCBQAQgkABAIQgUAAAIQgUAEAIAgUAEIJAAQCEIFAAACEIFABACAIFABCCQAEAhCBQAAAhCBQAQAgCBQAQgkABAIQgUAAAIQgUAEAIAgUAEIJAAQCEIFAAACEIFABASCqBXmRJrnVVZF1cvOoSDUhZ+RqN1um5dVWSUSlTlfSGEQLNlqyLQ6ABDVQIsrJKMioFgXqQa10VWReHQAMaqBBkZZVkVAoC9SDXuiqyLg6BBjRQIcjKKsmoFATqQa51VWRdHAINaKBCkJVVklEpCNSDXOuqyLo4BBrQQIUgK6sko1IQqAe51lWRdXEINKCBCkFWVklGpSBQD3KtqyLr4hBoQAMVgqyskoxKQaAe5FpXRdbFIdCABioEWVklGZWCQD3Ita6KrItDoAENVAiyskoyKgWBepBrXRVZF4dAAxqoEGRllWRUCgL1INe6KrIuDoEGNFAhyMoqyagUBOpBrnVVZF0cAg1ooEKQlVWSUSkI1INc66rIujgEGtBAhSArqySjUhCoB7nWVZF1cQg0oIEKQVZWSUalIFAPcq2rIuviEGhAAxWCrKySjErJVKD/rqYpg9/53fx7ogGJQHOqJKNSECi/L/r3RAMSgW5jfM2PeJXk1Cl5ClShZRHIta6KrIvjED6ggQpBEKgxikYMBOpOrnVVZF0cAg1ooEIQBGqMohEDgbqTa10VWReHQAMaqBAEgRqjaMRAoO7kWldF1sUh0IAGKgRBoMYoGjEQqDu51lWRdXEINKCBCkEQqDGKRgwE6k6udVVkXRwCDWigQhAEaoyiEQOBupNrXRVZF4dAAxqoEASBGqNoxECg7uRaV0XWxSHQgAYqBEGgxigaMRCoO7nWVZF1cQg0oIEKQRCoMYpGDATqTq51VWRdHAINaKBCEARqjKIRA4G6k2tdFVkXh0ADGqgQBIEao2jEQKDu5FpXRdbFIdCABioEQaDGKBoxEKg7udZVkXVxCDSggQpBEKgxikaMPAUKkBeyvUu0Vn8PVAiCQI1RNGLkKVCFlkUg17oqsi4u9xnoy4fvNj+UFW9/rDEiEWicSnLqFATqTq51VWRdXO4CPS9rgV6fIVBrDARqiIFA3cm1roqsi8tboLfnZSPQq+YHlRGJQONUklOnIFB3cq2rIuvishboXz4oDwI9L99XHJEINE4lOXUKAnVnoq6iSFSHkVw7bU/GAn1elu/9uRbo7aN7HymOSAQap5KcOgWBuoNAxeQs0Hd+djhyf/nw/u+289EfPNUZkQg0TiU5dQoCdQeBislYoDsagTbXkMoPm3feqNHJs2w8BTp3uTmCQEdAoHYWItCr7eH8i83fHpeHI3kEegSBBoNAR0CgdhYi0Of1/8NrSbLiVBqoEIRDeGMUjRgcwruDQMUsRKDH3++/UBiRCDROJTl1CgJ1B4GKWZhAr8/6d9LLilNpoEIQBGqMohEDgbqDQMUsTqDMQIcxEKghBgJ1B4GKWYZAbx/Vl9+HH0iSFafSQIUgCNQYRSMGAnUHgYpZhkCbz8QfRBo4IhFonEpy6hQE6g4CFbMQgV6f7W5juvlgcA0JgSJQcwwE6g4CFbMQge4+11k9jGnwUSRZcSoNVAiCQI1RNGIgUHcQqJilCHRz88OyvPdef/6JQC8QqDkGAnUHgYrJXKCRRiQCjVNJTp2CQN1BoGIQqLyBCkEQqDGKRgwE6g4CFYNA5Q1UCIJAjVE0YiBQdxCoGAQqb6BCEARqjKIRA4G6g0DFIFB5AxWCIFBjFI0YCNQdBCoGgcobqBAEgRqjaMRAoO4gUDEIVN5AhSAI1BhFI0ZCgd4+PivLB51blP+yu+vugdIXKEQHgYpBoPIGKgRBoMYoGjHSCfTlw8E3bv92/7mP4Rd5KbQsAghUDAKVN1AhCAI1RtGIkU6g5+X9p5ubR62PGV+V9/5ps3up//DFTF2AQMUgUHkDFYIgUGMUjRjJBFo/o/blw8N8s3nmzXZqqvLsm+ggUDEIVN5AhSAI1BhFI0YygT4/fO1M83UzLx/WM0+lb6CJDgIVg0DlDVQIgkCNUTRiJBPoufVZtQhUg1w7bQ8ClTdQIQgCNUbRiJFKoLeP6kP34bcltI7qF/0lskWqm7wgPbK9S7RWfw9UCIJAjVE0YmQg0OfHOSkChTyR7V2itfp7oEIQBGqMohFjBoH2rrlfcRuTBrl22h4O4eUNVAiCQI1RNGLMPgO9OrvXvwafqwsQqBgEKm+gQhAEaoyiEWNugT43zD9zdQECFYNA5Q1UCIJAjVE0Ysx8Ff63Rn9m6gIEKgaByhuoEASBGqNoxEh4H+j7nf933J6X7/Q/hCQfrtFBoGIQqLyBCkEQqDGKRowZP4lUfbpz+PVd4uEaHQQqBoHKG6gQBIEao2jESCbQ20flO73Pwj+3+TNTFyBQMQhU3kCFIAjUGEUjRjKBbm5aT2O6PtvOQ+vHM+3ofzhJoWURQKBiEKi8gQpBEKgxikaMdALd3DzeqvJBNeesBHpVIlA9cu20PQhU3kCFIAjUGEUjRkKBxh6u0UGgYhCovIEKQRCoMYpGDATqDgIVg0DlDVQIgkCNUTRiIFB3EKgYBCpvoEIQBGqMohEDgbqDQMUgUHkDFYIgUGMUjRgI1B0EKgaByhuodK9KvgAAIABJREFUEASBGqNoxECg7iBQMQhU3kCFIAjUGEUjBgJ1B4GKQaDyBioEQaDGKBoxEKg7CFQMApU3UCEIAjVG0YiBQN1BoGIQqLyBCkEQqDGKRgwE6g4CFYNA5Q1UCIJAjVE0YiBQdxCoGAQqb6BCEG2BXl5eItB9DATqDgIVg0DlDVQIoifQyy4IFIG6g0DFIFB5AxWCaAn0KE4HhcarJKdOQaDuIFAxCFTeQIUgOpUMhTmq0HiV5NQpCNQdBCoGgcobqBBEoxKzLEcUGq2SjDoFgfqAQMUgUHkDFYIoVGIVpfWNWJVc5NMpCNQLBCoGgcobqBAkuJKdJa23MVkMGqeSfZAsOqWKgUDdQaBiEKi8gQpBQivZ+XPkPlCzQaNUUgfJoVP2MRCoOwhUDAKVN1AhSGAlO32O30hvUmiMSpogGXRKHQOBuoNAxSBQeQMVgoRVcukk0IFBI1RyCDJ/pzQxEKg7CFTM4gV6wuxOf1aMCNQ0B5236jxBoCMgUDuLF6isOJUGKgQJqWQ//bwYn4GaDKpeSSvI3J1yjJHnDHSRFPTOepHtXaK1+nugQpCASg7+nHyYSN+g2pW0gyDQCMM1OsxAxTADlTdQIYi8kqM/p5/G1DOociWdIAg0wnCNDgIVg0DlDVQIIq6k5U+Hx9l1DapbSTcIAo0wXKODQMUgUHkDFYIECLQVY1KgX0Ogw/c7INAREKgdBCpvoEIQaSWXngLtGFS1kl4QBBphuEYHgYpBoPIGKgQRVtLxp6NAjwbVrKQfBIFGGK7RCRRoXMHm2ml7EKi8gQpBZJV0/en2lR4tgypWMgiCQCMM1+ggUDEIVN5AhSCiSnr+dPxOpKNB9SoZBkGgEYZrdBCoGAQqb6BCEEklfX+6fqncwaBqlRiCINAIwzU6pyzQwOIRqLyBCkEElQz86fytnI1BtSoxBUGgEYZrdBCoGAQqb6BCEP9Khv50/1rj2qBKlRiDINAIwzU6CFQMApU3UCGIdyUGf3p8LzwCbb3fAYGOgEDtIFB5AxWCCARqiOEs0L1BdSoxB0GgEYZrdBCoGAQqb6BCEARqjKIRA4G6g0DFIFB5AxWC+FZiOoL3EWhlUJVKLEEQaIThGh0EKgaByhuoEMSzEqM/PQV6iUD373dAoCMgUDsIVN5AhSDeAjXG8BDo1xBo834HBDoCArWDQOUNVAjiV4nZn34C/ZolCALNd7hGB4GKQaDyBioE8arEqj4vgdoMikCzHa7RQaBiEKi8gQpBfCoxnwC9EAjUfCJAUv4gCAKNMFyjg0DFIFB5AxWC+AnUFsNPoJYpKALNdrhGB4GKQaDyBioE8ajE6k9vgZpDIdBsh2t0EKgYBCpvoEIQ90rs/vQXqPl2fFH9/SAINMJwjQ4CFYNA5Q1UCOJcifUE6AUCNcdIKNDbx2dl+eBp79WXD99VGq7RQaBiEKi8gQpBPAQ6EsNboKZwCFTKy4fljrc/7r58XiJQDRBoVGTFqTRQIQgCNUbRiJFOoOfl/aebm0fl/RetF2/PSwSqAgKNiqw4lQYqBEGgxigaMZIJ9Pqsmnu+fHjvo+OLf/mgRKA6INCoyIpTaaBCENdKxvwpEaghIAIV8rwW5fPy/dZr5Xt/RqAqINCoyIpTaaBCEMdKRv0pEugwJAIVcl5+WP1/1RLm83d+1vk9bLhGB4GKQaDyBioEQaDGKBoxUgn09lF96H591jkJ2hXoGzXiNHNSTPTO1PtZs+jiFZDtXaK1+nugQhC3Ssb9KRPoICgClYFAl+2gRRevgGzvEq3V3wMVgjgKdCKGSKD9qAhURkug3RuZOITXgUP4qMiKU2mgQhCnSiYmoGKBdsMiUBluM9Cg4RodBCoGgcobqBDEpZIpf0oF2guMQGUgUAQaA/GA9ERWnEoDFYIgUGMUjRizXoU3/S4frtFBoGIQqLyBCkEcKpn0p1ig3dAIVEhz/2f7PtAdCFQHBBoVWXEqDVQIMl3JtD/lAu0ER6BCjJ9E2iBQLRBoVGTFqTRQIchkJWNPYTrEQKCGGMkEevuofGf4WXgEqgUCjYqsOJUGKgRxEKhDDLFA2+ERqJSb1tOYrs8O81AvgcZ10BQIVAwClTdQIYjDIbxDDARqiJFOoJubx1t/PqjmnwhUHQQaFVlxKg1UCMIM1BhFI0ZCgSoMVwRqBYHOMiLHi1NpoEKQaYG6xECghhgI1B0EKgaByhuoEGSqEpcJaIhAWwkQ6JzDFYFaQaCzjMjx4lQaqBBkohInfwYJ9JgCgc45XBGoFQQ6y4gcL06lgQpBEKgxikYMBOoOAhWTuUCP32xo/ubDdQvUzZ9hAj0kQaApsJWDQK0g0AAO32xo+ebDlQvUMUaQQC8Q6AaBjr6NQO1kLdDWNxsav/lwbESOF6fSQIUgo5U4TkCDBXo5WYkzCHQCWzkI1AoCldL6ZkPb543XLVDXGGECvUCgCHT0bQRqJ2OBtr/Z0PTNh+Mjcrw4lQYqBBmrxHUCGi7Qy4lK3EGgE9jKQaBWEKiQ9jcb2p65uGKBOvszWKD7VAg0BbZyEKgVBBpALUzDU78X/S1dLlxeOi/qKdCQVGsFgY6AQO0g0EzxkVqoQDEoAh0DgdpZnED7NzLJilNpoEIQayXuB/AKh/DVdSQO4VNgKweBWkGgAdhnoFMjcrw4lQYqBMlGoJcINAm2chCoFQQawMkK1PkepgsEao6BQN1BoGKWIdDTuwrPDDQ0BgJ1B4GKWYhAbd98uF6B+sRAoIYYCNQdBCpmIQI9tU8i+UxANQS6TYhAU2ArB4FaQaABNAK1ffPhagXqFUNBoBcINAm2chCoFQRq5dVP/uc/HX757Fv/458GSxzOed6c1NOYvCagSgL1SmktBYGOYysHgVpBoFb+/vV/+FfzLw3Hi0atbz50GpHjxak0UCGIuRJPmakIVMegCHQCWzkI1AoCtdJx5md3DAKVj8jx4lQaqBAEgRqjaMTIU6A2irkLGGOquKyLn2Khxf/968WALw4P4aeR7V2itfp7oEIQYyW+KtMR6EbDoAhUOFyZgVphBmrk06FAv685IseLU2mgQhCzQH1j6AjUO68pCAKVDVcEagWBGnn1/3z729+689qXv93wnV+rjsjx4lQaqBDEVIn3TFBNoOEGRaDC4YpArSBQK8brRkojcrw4lQYqBDEK1DuGkkAVpqCrEeir//6r/yo5oyQdrgjUCgK10rmNSXlEjhen0kCFIIZK/OeBegINNuhqBPr3rxfhf9w9hisCtYJAoyIrTqWBCkFMAvWPoSXQ8Cno6gT692+++ZamSG3lIFArCHSCf2v4o+aIHC9OpYEKQYaVCGaBigINNej6BKo8E7WVg0CtINAR/vrj1lV47gOVKQyBmmIgUHcQqJh5Bdq9GxSBItBDKcExEKg7CFTMvAJ9VhSvf+dXDaLLnrLiVBqoEMRwCC+IgUANMRCoOwhUzLxX4X9UfCnWiBwvTqWBCkEsM1BPI6oJNNigCFQ4XBGoFQRq5e9ff+1fYo3I8eJUGqgQZCjQ6t/ZBBp6HR6BCocrArWCQK1wI32/ksvZBRpmUAQqHK4I1AoCtfLqR8xAu7/W+ppPoIFTUAQqHK4I1AoCtfOsuBtrRI4Xp9JAhSC9Si4zEGiQQRGocLgiUCsI1M52Cvq9SCNyvDiVBioE6Qu0/n9GgYZNQdck0CEKKrWVg0CtIFArr37yraI4PpBJ9MF4WXEqDVQI0q3kMguBhhgUgQqHKwK1gkCt9Ebpyd9If1DXnAINmoKuRqCvfvLtIeGPvkGg/iBQKwi0U8llJgINMOhqBBoLWzkI1AoCnWVEjhen0kCFIF2BHn6aVaAhU1AEKhyuCNQKAp1lRI4Xp9JAhSDtSi6zEajcoAhUOFwRqBUEOsuIHC9OpYEKQToCPf44r0ADpqArE+jn9RMWP3vrp0qPp7eVg0CtIFA7n/9bm9N+HuhlRgIVG3RVAv3rN5rblJ8VRfD9duPDFYFaQaBWuIhkOfM4s0DlU9A1CfT3d4rmWTe/2A3Pu4LR6TxcEagVBGoFgVqufc8uUKlBVyTQ3fduv958U+yrn4997fbt47OyfPB04qXR4YpArSBQK6/+e/Mo0P/4jeK1/3TKzwPtKguBhscIFOjuj/vd1u/P7H/gXz4sd7z98ehL48MVgVpBoE58dueLovP0suJUGqgQxHL7OgINjxEo0K0wOwPy1Y+sB/Hn5f2nm5tH5f0XYy+ND9c1CzRXRe3JtTpvEwofLCIrTqWBCkEynYGKDboage582T1k/7Rn1APXZ9VE8+XDex+NvDQxXBGoFQTqhnAKKitOpYEKQSyP8JhdoNLLSKsR6PYIvveoxc/uWI7hn5fv1v+/P/LSxHBFoFYQqBvCpyvLilNpoEIQy0PkMhCozKBrEmhvOFofbHdeflj9f1Vb0/zSxHBFoFYQqBuf3TllgXZfnV+gwinoCQr09lF9nH591pzxNLz0Ro3hGU8ABnxF+OqJ5RTTBLK9S7RWfw9UCGL5Io0cBCoy6GoE+upHhkN44wBFoBADF/m1nhn2rTvCO5Vle5dorf4eqBDE8lVuGQhUNgVdjUA3T/rj8Vlh/grZli2bu5YMLwUN1+gH0ZGPkicILD7uCYTI2e3vu8iveyP96d7GNJjtZSFQiUHXI9D+RXfrbUxuM9Cg4YpAI64+wWIE+oXvyh7XMF6frTjRWv0GKgSpBdp/NQeBiqag6xFo/0b6J7Yb6RFoKAjUhMiGAsbrsxUnWqvfQIUgVSXDuV4eAhUYdD0CrT7K+dXmj/pff1yM3EevcBV+AgQabfUJEKixONFa/QYqBNkLdPBqFgKVTEFXJNDdSc+ieP2ff/WrX/3yG7sfjWdAN8ebPTv3gQ5eChmuCDTi6hMgUGNxorX6DVQIsqvEMNPLRKD+Bl2TQDf/7U7rDP1r/8E2AlU+iTQBAo22+gTZC/TzX765HZ1vflf0MFDpiMxLoMNX8xCoYAq6KoHuD9z3+vyqfXzePirf6X3w3fBSyHBFoBFXnyB3gT47/Im/67iGxojMSaCmeV4uAvU26LoEuuWT//KTb3/nV+N/3W9aj166PqsmnTe+T2OaAIFGW32CzAW68+cXvvztb/2j2KDj9dmKE63Vb6BCkJ1ADa9mIlD/KejqBOrEzeOtLB9Uk81aoO2XwocrAo24+gR5C3T36Y7fVD/9dfDJD0fG67MVJ1qr30CFIBcb4ywvG4H6GnTNAn31y/9B8lljheGKQCOuPkHeAm19fPPVj6yXOfVHZD4CNSsKgYbHUBboJ98UfmWCwnBFoBFXnyBrgb76UWvWKX2i8rK5vDS9GlegodWtkXGBvvpldUEegUYBgZpwGU2dJ9id6OPsmIG6leIdQ28Gupt87vjKbwTjU2O4ItCIq0+AQI3FidbqN1AhSOaH8N4GXZ9A68ln8dZPBYNTabgi0IirT5C1QF/9qPW1CZ+e5OPszILKRqC+1+HXJtA/1JNPhYP3gOGKQCOuPkHWAuUikmWGl5FA/Qy6KoF+/vNq8vnal21f5pFquCLQiKtPkLdAP7vTfPX2J984yduYLs1B8hGo5xR0RQL9wzf2Jz5/bf8yj1TDFYFGXH2CvAW6/yDSm2++Kf8o0nh9tuJEa/UbGB7jcgEC9TLoagS6f9Li6z/902bk25BSDVcEGnH1CTIX6Ob3zQMbXvtewhGZjUAtlWQkUL8p6JoE+vo//+nwMwKNCAI14TqiXv3hW9sZ6Jd/Kr0HdLw+W3GitfoNDA5xuQiB+hh0TQIt3qoNikDjgkBNKA24OCMyF4HaKslJoF5T0NUI9NXP99+T8L0/IdDYIFATSgMuzojMQ6CXMwnUE58p6GoEujlcRXrr1wg0LgjUhN+4+re0IzITgVormduZHXymoGsS6PEmeu4DjQoCNeE4oF798q1/rQ6SpJ+TG6/PVpxorX4DAwNcLkag7gZdl0A3x2cqjzxQOf5wRaARV58gc4F+ur9HeXfK/rXvTy+uNSLzEKi9krmd2cHnLOjqBLo5HMq/JvzaWIXhikAjrj5B3gL97E797dv//cd3Tu1G+ssFCdTZoGsU6PFQ/os8jSkGCNSE03B6UrzeHLmf3Ec5L0cqmduZHS48pqDrFOimPpTncXZRQKAmXEbT37/eeR7oST2N6XJRAnU16GoFutkdyiPQKCBQEy6j6YQfZ9coCYGaomjEUBeoCsLWINBoqwfCDFQKAlXvlEMUjRgI1H11BCpm7nOgXzL+HHtEzi/QCwQ6EkUjRp4CFVJM1Dfx/tTq8xJY/Lxtj1v8FJ8WxVf2N9h9/vOiEN3HJNu7RGv198CQtZc1A3U2KAKNMVyZgUZcPZCZ7wN9srvB7s0339zdJiKagC5WoKOVzO3MDp16o3bKIYpGDATqvjoCFTOzQF/9omgeZ/cfEo7I2QV6uTiBuhkUgcYYrgg0XvRQ5v4oZ/M4u3+WfsxD1Or5BTpeydzO7NCrOF6nHKNoxECg7qsj0FjhUz1MJPGInFuglwsUqJNBEWiM4YpA40UPBYFKCRLoRCVzO7PDoOZIndKKohEDgbqvjkBjhUeg9hjyIJeLFKiLQRFojOGKQONFDwWBSpEPuraKliNQJ4Mi0BjDFYHGix4KApWCQFU7pRNFIwYCdV8dgcYKj0DtMaRBOiJakEBdDIpAYwxXBBoveigIVIpcoNOVzO3MDpbKdTulG0UjBgJ1Xx2BxgqPQO0xhEEuFyzQSYMi0BjDFYHGix4KApXilfqoo8vL+VQoo9UMBDrLcEWg8aKHgkClnKRApwyKQGMM15ULdAIEmt+InFGgX0OgkyDQPgh0rtUDwyNQewxmoIGdYo+iEQOBuq+OQGOFR6D2GEKBzmdCIa1mINBZhisCnW/1wPAI1B5DJNDlTUDbAp00KAKNMVwR6HyrB4aXZ080IBcn0BlNKKTTEAQ6w3BFoPOtHhgegY400GPhRkYLnID2BDpuUAQaY7gi0PlWDwyPQEca6LFw7aIl+rMr0AmDItAYwxWBzrd6YHgEOtJAj4VrFyFQJxCoLwg01uqB4RHoSAM9Ft6raJH+7Al03KAINMZwnQaBxlo9MDwCHWmgx8J7FS3Sn32Bjl5HQqAxhus0CHQuolWXaEAuSaDLnIAOBTpi0NMU6O3js7J88LT36suH7yoN12kQ6FwgUHkDPRauTLRMfw4EOjYFPUmBvnxY7nj74+7L5yUC1QCBalAP0sEoXZBAFzoBNQjUbtCTFOh5ef/p5uZRef9F68Xb8xKBqoBANbg+W75A5zahkGFrEGh3aFaD8uXDex8dX/zLByUC1QGBanBlGo3iETmHQJc6ATUJ1GrQUxTo83poPi/fb71WvvdnBKoCAtXgvDU6w0fkDAJdrD8NArUb9BQFel5+WP3f/hv//J2fmf/mK7TMBAKdi4UI9PZR+/goeETOMgOdW4RSDM1BoIaheX3WOQnaFegbNeI04xTj9U+8nTd5F593dQdePrz/uw/K8gf9W0WWI1BmoO4gUF8Q6FzkXd2B5hpSfbS0iT4ilVnwBPRrhuZcXibvwcioCLR7hZNDeB04hFfgqizfe7H52+PycCQ/s0B9LbTcCaiRkebMtEECiT0DbYi0tyHQuViIQJsrncNrSbLigpvnbZwgX+WHvT3BXbuQQ/ir+pAIgUYmb4FG6zrvAek4aruDdCkCXdkEdKxBwV27MIEar8KbfpcP12kQ6FwsTKD980wLEejq/DnSpOCuXYhADzT3fz7vHR0hUB0QqCL9wyQEOhcI9DgmDZ9E2iBQLRBoOLePLIdJyxDoCv1pb1Rw1y5NoNvB+c7ws/AIVAsEqkD9ZJuDSANHZGqBKvgqPxBozU3raUzXZ4d5KALVAYEqcH22u43p5oPBNaQlCHSVE1Brs4K7dnEC3dw83vrzwYv9QEWgyiBQDZ7XD2MafBRJVlxw88JFs3zMDQvu2uUJ1AOFlplAoHOxFIFubn5Ylvfe688/EeiMIFB/FFpmAoHOxWIEqjoiUwp0tf60NC24axGoPwh0LhCojDDJrAUEmmS4ToNA5wKBynB3zKoFamhccNciUH8Q6FwgUBlBjlkNCDTJcJ0Ggc4FApUR5JjVgECTDNdpEOhcIFAZIYpZEYbmBXctAvUHgc4FApXhbBhVX+UHAk0wXKdBoHOBQGW4+mX1Ah00MLhrEag/CHQuEKgMqV5Wx6CJwV2LQP1BoHOBQGUI7bI+EGj84ToNAp0LBCpDJpc10m9kcNciUH8Q6FwgUBkStayUXjODuxaB+oNA5wKByhCYZa0g0NjDdRoEOhcIVIa/WNZLt6HBXYtA/UGgc4FAZfhqZdV0mhrctQjUHwQ6FwhUhoNUEKgUBOoLAp0LBCrDTyprp93Y4K5FoP4g0LlAoDK8nLJ6EGjU4ToNAp0LBCrDyymrB4FGHa7TINC5QKAyfJRyArSaG9y1CNQfBDoXCFSGu1BOg2ODg7t21QKNRDFe/8TbebPo4vNHtneJ1mrj7JMTAYFGHK7TMAOdC2agMlx1cjIcmhzctQjUHwQ6FwhUhptMTomm0cFdi0D9QaBzgUBlOLnkpECg0YbrNAh0LhCoDBeVnBh1s4O7FoH6EygZBCoGgcqYFsnpsW94cNciUH8Q6FwgUBljGjldge5aHty1CNQfBDoXCFTGhEVOEwQaZ7hOg0DnAoHKGJfIqbJrfHDXItDk5FpXBQLNb0Qi0Dgg0CjDNTq51lWBQPMbkfEEespH8F+rDBrctQg0ObnWVYFA8xuRMQWa0lfZgUBjDNfo5FpXBQLNb0RGE+iJ+3PXAcFdi0CTk2tdFQg0vxEZS6An70//LoizeRCoF7nWVYFA8xuRkQR64idAK3z7IM7mQaBe5FpXBQLNb0TGESj+3OHZC3E2DwL1Ite6KhBofiMylkB1FLRwEKj2cI1OrnVVIND8RmQUgeLPGq+OiLN5EKgXudZVgUDzG5ExBIo/D/h0RZzNg0C9yLWuCgSa34iMIFBOgB7x6Ys4mweBepFrXRUINL8RGUWgmgpaOAhUdbhGJ9e6KhBofiNSX6BMQDu490aczYNAvci1rgoEmt+IjCFQXQMtHASqOVyjk2tdFQh0jYiFcSI4d8jcG7IGgWYLAs1vRGrPQPHnANcuibN50s5Abx+fleWDp+2X/vLDsrzXfUk+XKOTa10VCDQqsuKCm9eTBQLt49oncTZPUoG+fFjuePvj40u/rV4p732kMlyjk2tdFQg0KrLigpsnccVp4dgrcTZPUoGel/efbm4elfdfNK9clff+abN7qS1V+XCNTq51VSDQqMiKC26evylODrd+ibN5Ugr0+qzS5MuHh/nm7aPyw0310v7/0OEanVzrqkCgUZEVF9w8X0+cIk49E2fzpBTo8/Ld+v/361dePqxnnueHl4KGa3RyrasCgUZFVlxw8/wscaKchkDP62nmVS3SzlsINBgEGhVZccHN85LEyeLQOXE2T0KB3j6qD92vz44nQfe0jurfqBGnOV2KVLeYnSayvUu0VpujIhCoHYfeibN58hDo8+OcFIGKQaBRke1dorXauBvipJnunzibZx6B9q65X3EbkwYcwkdFVlxw81z9cOpM9lCczZPDDPTq7F7/Gnyuosq1rgoEGhVZccHNc7MDTPZRnM2TQKBX+3vlP7QJ9Llh/pmrqHKtqwKBRkVWXHDzXNwAOyZ6Kc7mSShQy1X43xr9mamocq2rAoFGRVZccPOmzQA14/0UZ/OkvQ/0/c7/O27Py3f6H0KSD9fo5FpXBQKNiqy44ObhT3dGeyrO5pn3k0jVpztfGBdWaFkEcq2rAoFGRVZccPPwpwfrFujto/Kd3mfhn9v8mamocq2rAoFGRVZccPO4gd6Hkc6Ks3mSPkzkpvU0puuz7Ty0fjzTjv6HkxRaFoFc66pAoFGRFRfauksmoD6MdFeUzXOR9nmgN4+3qnxQzTkrgV6VCFQPBBoVWXGBjcOfntg7LMbmqWLwlR7u5FpXBQLNb0QGNhp9+mPrswibZx8DgbqTa10VCDS/ERnW6K0Lhl9rDBNYDKq/eeoYCNSdXOuqQKD5jcigRu/8iUD9MRtUffM0MRCoO7nWVYFA8xuRIY2u/IlABRgNqr15DjEQqDu51lWBQPMbkQGN3vsTgUowGVR58xxjIFB3cq2rIuviEKgntT8RqAiDQXU3TysGAnUn17oqsi4OgXpx2fgTgcoY3s6kuXk6MRCoO7nWVZF1cQjUh6M/EaiQgUEVN083BgJ1J9e6KrIuDoG609InApXTU6ja5unHQKDu5FpXRdbFIVBnOv5EoHK6BtXaPIMYCNSdXOuqyLo4BOpKR58INIi2QZU2zzAGAnUn17oqsi4Ogbpx2fMnAg2iNQlV2TymGAjUnVzrqsi6OATqxMCfCDSMo0E1No8xBgJ1J9e6KrIuDoE6MNQnAg2mUWj45jGDQD3Ita6KrItDoA3TuzqoUner4+bx38QI1J1c66rIujgE2jCxn4M+Vdc6bh7/TYxA3cm1roqsi0OgDfZ9HH9Gw3RyxLx5/DcxAnUn17oqsi4OgTbY9m/0GZNLo0IRaGJyrasi6+IQaINl507vlBPDpFAEmphc66rIujgE2mDcsecwyomxv8nhcmrz+G9iBOpOrnVVZF0cAm3o7tboMxW7vu8rdMUCBcgL2d41fKm1T1+iz3Tse/+y49AVC1ShZRHIta6KrItjBtpw3KXRZ0qa/m8bFIEmJte6KrIuDoE21Psz9kxMaxMcHIpAE5NrXRVZF4dAG77WHLrjz6R0NkK9ARBoYnKtqyLr4hBow9ew5yz0NsNl92yoHATqQa51VWRdHAKtQJ6zYdg6KhJFoB7kWldF1sUh0GZ3RZ/zYNw8h20i2rr7GAjUnVzrqsi6uOUI9PbxWVk+eKozIpu1Wjvq3CI5VaybJ1CiCNSDXOuqyLq4xQj05cNyx9sfq4zITWv/5HtIaCOyAAAKp0lEQVSKZ8Wyefb0N5LX+Jt6vwMCzZasi1uMQM/L+083N4/K+y+CR+TlpWm/nFskp4px7ExvLofxN/V+BwSaLVkXtxSBXp9Vc8+XD+99FDAiL0d2xrlFcqoYx87olnMdf1Pvd0Cg2ZJ1cUsR6PPy3fr/9wNG5GEP9HigMsTFOHZGt5/btkagHuRaV0XWxS1FoOflh9X/V7VIA0ckAs0Gx83jv4nzFOi/q2nK4Hd+N/+uOuxuH9WH7tdnzUnQN2q0UswtklNFa/sFgkD5Pa/fVYddAoHCScMhfLZkXdxCDuFbAu3fyCQrTqWBCkFWVklGpWR6CK/QsgjkWldF1sUtT6D9+5hkxak0UCHIyirJqBQE6kGudVVkXRwCDWigQpCVVZJRKQjUg1zrqsi6uIUINMFVeEEDFYKsrJKMSkGgHuRaV0XWxS1FoM39n2H3gR6LU2mgQpCVVZJRKQjUg1zrqsi6uKUIVOeTSMfigppWFPsGjr69/6lovdD7Zf+mIUh7/eMvxSFY0V6uWmRT1D9XC9X/dPIeXhvkOKTZtBbtvN2pY/hO5+emU3qLWbAthUATk2tdFVkXtxSB3j4q39H6LPwFAkWgCLRNrnVVZF3cUgS6udF+GlMACNQYB4E6oNCyCORaV0XWxS1GoJubx1t/PujPPxEoArXEQKDu5FpXRdbFLUegqiMSgSLQLgg0W7IuDoEKQKDGOAg01nCNTq51VWRdHAIVgECNcRBorOEanVzrqsi6OAQqAIEa4yDQWMM1OrnWVZF1cQhUAAI1xkGgsYZrdHKtqyLr4hCoAARqjINAYw3X6ORaV0XWxSFQAQjUGAeBLpasH6ubdXGZV5cnRbW3WXuuKI4/Fa0Xer8UhWWnba9//KU4BCvay+0WeeONov65Wqj+p5P38NogRydNs2ivtNa6w3c6PzedYmubraX6eA5sBJotWReXeXU5k0/P5VNJRqUgUA/y2WwGsi4u8+pyJp+ey6eSjEpBoB7ks9kMZF1c5tXlTD49l08lGZWCQD3IZ7MZyLq4zKvLmXx6Lp9KMioFgXqQz2YzkHVxmVeXM/n0XD6VZFQKAvUgn81mIOviMq8uZ/LpuXwqyagUBOpBPpvNQNbFZV5dzuTTc/lUklEpCBQAIA0IFABACAIFABCCQAEAhCBQAAAhCBQAQAgCBQAQgkABAIScrkBfPiwr3v547koGvHz4bv3T7eOzsnzwdNZq+hyqy7gH86TbYTNv2xyGViYdYtnfnOo5XYFen2W7+5+XXUXlVeKhuox7ME86HTbzts1iaGXSIeb9za2e0xXoVdNruXF7XjalnZf3n25uHpX3X8xbUotWddn2YK50OmzmbZvF0MqiQ2z7m1s9pyvQ8/L9uUsw8pcPymaDXp/Vf5rvfTRvTUda1WXbg9nS7rCZt20eQyuHDrHtb471nKxAbx/lY6U2z8vyvT/XG/T54f9cTNWuLtcezJZOh828bbMYWjl0iHV/c6znZAX68uH9323/9vwgrws02+31zs8ORzbn5YfV//kcK7ery7UHs6XTYTNv2yyGVg4dYt3fHOs5WYE256/rbsqKepsd/kBfn2V0EvQwonLuwSxpd9jM2zaPoZVLh5j2N9d6TlagV9up+4vN3x6XGR6HLkOgOfdglrQ7DIFu8ukQBCrg+WHansv5xSPDDZrTnUJXvTNGOfZglrQ7bOZtm8fQyqVDTPubaz0nK9CGq5zuEapZxgz0+HtO1S2AXYcxA20xd4cwAw0gr9ndnmUJNMcezImr/pni3gQHgc7dIQg0gCxGUI98r8LvGAo0vx7MCYNAtx3GVfgjc3cIV+H9uX2U0wjqcTzL+H7n/zw4/L3OuAdzpNthM2/bHIZWNh1i3N8c6zlVgTaffz1sxJw43iiUw8dF+hz/Xufbg1nS6TA+iZRPhxj3Nz6JNM712e4WipsPcrwC0mzQ7ch6Z/4PLPdp3QeabQ9mSafDZt62WQytXDrEuL851nOyAt19hqt62EqGH6Q5HBTf5PDInD6H6jLuwTzpdNjM2zaLoZVJh5j3N7d6Tlegm5sfluW993KcPR3PKt483m7CB3nV2Kou2x7MlE6HzbxtsxhaeXSIZX9zqueEBQoAEAYCBQAQgkABAIQgUAAAIQgUAEAIAgUAEIJAAQCEIFAAACEIFABACAIFABCCQAEAhCBQAAAhCBQAQAgCTcKT4ot/mrsGAAv94fms+Id/Fax2iiDQJDDUIGMQqBgEmgSGGmQMAhWDQJPAUIMFgUCdQaBJYKjBgkCgziDQJDDUYEEgUGcQaBKGQ+2TH98piuLN7zYv/+GbRfHaV//kOHQBJnn1o+L7f/hGUXzhX7a//HU33l77ym/q96pfi7d+uv/tMDw7o/DvXy/u7t8/jMruqG1W6wY7LRBoEvoCffXzoub1amRux3rFP/wYgYIS20H17WpQ/etOgTVfrd76fXf41cOzNwoHAu2P2nq1XrDTAoEmYXiZs/jq9oW/bucHX9q/v/u9GqAIFHTY+fC1f9n89afVeNtNPj//+d6gn90pvrj99dUvDsOvGp69UTgQ6HDU7lbrBzstEGgSegLdDs0vNT/UY/Bu9fszBApa7AT6/eqn7fiq3fZsp9TjIfmT/Q9PjKOwL9D+qK1X6wc7LRBoEnoC/bQaxptqjO8PsOqhtx2aJzgIIQr14Nq0LwptX/tSo9Ej++H5pDcK+wLtj9qDQLvBTgsEmgTr9cpq0O5H9fF3AAW2w2o/6lrjaz8SP91dT/r1ccnqxcEoNFxE6rxfj+p+sNMCgSbBJNDPP/nVT/6xOlg6jlTXG0gAJjkYcTu+WuwG2P5q0Be++8f9ktXwPByhtw7Z77Z/rziO2sOo7gU7LRBoEgYC/f0/tsYzAoUIjAi0ul+punBe3XvUCPRuvaZNoJ1RexzV3WCnBQJNQk+g+/tF3vz2P//xSS3Q7t9+gHDaAjVcH//kJ5UOd5eZ3GagvVHbGdWtYKcFAk1CT6D1/SAbzoFCPA7D6nAydLDEL4r68tH4OdAnzb2k7VHbH9VNsNMCgSahN9QOA7q+3slVeNDnaMQnhwvl1dAbqLJ3P1J9lf0wJd3/Phi1Fu+eFgg0CTaB1nfccR8o6HNU2+5e9/2A+7Q6zH7WuiHpMAM93i1aj8LDMP206Ar0WeccaD/YaYFAk/CkexK/Phj65BtFsR99z/gkEmjTmhs+21/haY6yt1PI1763+0zRj1rnQJvPKx1H4fb3L25//+Wdon0Ifxy1T4zBTgsEmoSeQP/+jfrnr/xiP+he1Qu8/n8iUFCiffvn4bPw+zniZ3ea3+/ufm0OkH7eHYXNZ+O/+Iv9IX1/1Nar9YKdFgg0CT2Bbv+q/+P+9uPDeSaexgTKtAW6+euPd5fJD09MevXLN3f3bn51f+/m4QzTJ91RWA3TL3zv8DCR3qhtVusGOy0QaF7wiEWABYFAc+BJ6/rnCT7RBmCpINAceNZ6bM7deUsBAHcQaA5svfna97bzz9/f4RQowIJAoFnwaXMh8/XfTC8MAJmAQPPg85/vL5JyBQlgQSBQAAAhCBQAQAgCBQAQgkABAIQgUAAAIQgUAEAIAgUAEIJAAQCEIFAAACEIFABACAIFABCCQAEAhCBQAAAhCBQAQMj/D5iVgfiZahy0AAAAAElFTkSuQmCC)
##
## Ljung-Box test
##
## data: Residuals from Holt's method
## Q* = 12.313, df = 6, p-value = 0.05534
##
## Model df: 4. Total lags used: 10
Example: Car Sales, in Lecture Note 3
car <- readMat("Car_Sales.mat")
car.ts<-ts(t(car$Car.Sales))
plot(car.ts)
![](data:image/png;base64,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)
car.ts<-ts(t(car$Car.Sales), frequency=12)
car_seasonal_indication<-hw(car.ts, h=12, seasonal="additive")
summary(car_seasonal_indication)
##
## Forecast method: Holt-Winters' additive method
##
## Model Information:
## Holt-Winters' additive method
##
## Call:
## hw(y = car.ts, h = 12, seasonal = "additive")
##
## Smoothing parameters:
## alpha = 0.1724
## beta = 1e-04
## gamma = 1e-04
##
## Initial states:
## l = 9.8447
## b = 0.0879
## s = -2.5166 -0.133 -0.5023 -4.6066 -3.3596 -0.9236
## 3.7924 6.5123 5.0313 2.9607 -2.7787 -3.4762
##
## sigma: 1.4534
##
## AIC AICc BIC
## 603.1170 609.9170 648.7133
##
## Error measures:
## ME RMSE MAE MPE MAPE MASE
## Training set -0.03300989 1.341429 1.097267 -0.7587655 8.322427 0.687933
## ACF1
## Training set 0.1055962
##
## Forecasts:
## Point Forecast Lo 80 Hi 80 Lo 95 Hi 95
## Jan 10 15.33793 13.47532 17.20054 12.48932 18.18655
## Feb 10 16.12280 14.23268 18.01291 13.23212 19.01347
## Mar 10 21.94936 20.03210 23.86662 19.01717 24.88155
## Apr 10 24.10752 22.16346 26.05158 21.13434 27.08071
## May 10 25.67613 23.70559 27.64666 22.66245 28.68980
## Jun 10 23.04376 21.04706 25.04046 19.99008 26.09744
## Jul 10 18.41532 16.39277 20.43788 15.32209 21.50855
## Aug 10 16.06710 14.01898 18.11522 12.93477 19.19943
## Sep 10 14.90731 12.83390 16.98071 11.73631 18.07831
## Oct 10 19.09938 17.00096 21.19781 15.89012 22.30864
## Nov 10 19.55579 17.43261 21.67896 16.30867 22.80291
## Dec 10 17.25979 15.11211 19.40747 13.97519 20.54438
car_seasonal_indication$fitted
## Jan Feb Mar Apr May Jun Jul
## 1 6.456474 7.258028 13.338884 15.271140 16.689018 13.694392 9.082699
## 2 7.293317 8.069029 14.120946 15.885574 17.091647 14.258318 9.554229
## 3 8.188404 9.403104 15.496028 17.603777 19.070483 16.754484 12.032279
## 4 9.341072 10.388831 16.314588 18.143833 20.098384 17.471656 12.903455
## 5 11.002945 12.006715 17.913117 20.250372 21.993856 19.366285 14.603720
## 6 11.788467 12.641638 18.523673 20.935717 22.882468 20.364625 15.889806
## 7 14.258887 14.771967 20.252076 22.411222 23.932841 20.739865 15.973031
## 8 14.106488 14.567518 19.883540 22.232172 23.362114 20.853837 16.442892
## 9 13.804235 14.486229 20.271799 22.406682 23.856930 21.611046 16.891255
## Aug Sep Oct Nov Dec
## 1 6.805959 5.895884 10.286887 10.616174 8.104570
## 2 7.479598 6.405434 10.804723 11.125331 9.111276
## 3 9.703585 8.422996 12.122543 12.467953 10.135552
## 4 10.445842 8.975543 12.992598 13.611816 11.716982
## 5 12.354562 10.842733 15.026633 15.437288 12.851622
## 6 13.421104 12.494976 16.412052 16.993976 14.820309
## 7 13.523844 12.638677 16.962819 17.277773 15.031453
## 8 13.711043 12.503300 16.883766 17.393139 14.877315
## 9 14.737984 13.920366 18.192328 19.192660 16.549992
plot(car_seasonal_indication$fitted)
![](data:image/png;base64,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)
checkresiduals(car_seasonal_indication)
![](data:image/png;base64,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)
##
## Ljung-Box test
##
## data: Residuals from Holt-Winters' additive method
## Q* = 30.28, df = 6, p-value = 3.478e-05
##
## Model df: 16. Total lags used: 22
Example: New Plant and Equipment Expenditures, in Lecture Note 3
New_Plant <- readMat("New_Plant.mat")
plant_training<-ts(t(log(New_Plant$New.Plant))[1:44], frequency=4)
plant_seasonal<-hw(plant_training, seasonal="additive", h=8)
summary(plant_seasonal)
##
## Forecast method: Holt-Winters' additive method
##
## Model Information:
## Holt-Winters' additive method
##
## Call:
## hw(y = plant_training, h = 8, seasonal = "additive")
##
## Smoothing parameters:
## alpha = 0.7256
## beta = 0.0042
## gamma = 0.2744
##
## Initial states:
## l = 2.3931
## b = 0.0212
## s = 0.0989 -0.0065 0.0261 -0.1184
##
## sigma: 0.0245
##
## AIC AICc BIC
## -150.5891 -145.2950 -134.5314
##
## Error measures:
## ME RMSE MAE MPE MAPE MASE
## Training set 0.0009514271 0.02219517 0.01822413 0.03969571 0.6348927 0.2073649
## ACF1
## Training set 0.409508
##
## Forecasts:
## Point Forecast Lo 80 Hi 80 Lo 95 Hi 95
## 12 Q1 3.286563 3.255116 3.318009 3.238470 3.334656
## 12 Q2 3.427194 3.388264 3.466125 3.367655 3.486733
## 12 Q3 3.426368 3.381108 3.471627 3.357149 3.495586
## 12 Q4 3.548935 3.498068 3.599801 3.471141 3.626728
## 13 Q1 3.372265 3.312181 3.432348 3.280375 3.464154
## 13 Q2 3.512896 3.448387 3.577405 3.414237 3.611555
## 13 Q3 3.512070 3.443373 3.580766 3.407008 3.617131
## 13 Q4 3.634636 3.561951 3.707322 3.523474 3.745799
plant_seasonal$fitted
## Qtr1 Qtr2 Qtr3 Qtr4
## 1 2.295939 2.466550 2.459491 2.586201
## 2 2.399725 2.577159 2.590090 2.737117
## 3 2.567543 2.755206 2.754803 2.896347
## 4 2.706594 2.851881 2.807356 2.921233
## 5 2.697572 2.880037 2.825686 2.951419
## 6 2.752546 2.918779 2.930212 3.079427
## 7 2.882758 3.014605 3.016055 3.128773
## 8 2.900188 3.033097 3.028950 3.114920
## 9 2.940084 3.116139 3.094653 3.202745
## 10 3.040680 3.205749 3.207993 3.342029
## 11 3.168789 3.316997 3.335795 3.462843
checkresiduals(plant_seasonal)
![](data:image/png;base64,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)
##
## Ljung-Box test
##
## data: Residuals from Holt-Winters' additive method
## Q* = 31.596, df = 3, p-value = 6.366e-07
##
## Model df: 8. Total lags used: 11
accuracy(plant_seasonal, log(New_Plant$New.Plant)[45:52], frequency =4)
## ME RMSE MAE MPE MAPE
## Training set 0.0009514271 0.02219517 0.01822413 0.03969571 0.6348927
## Test set -0.0964436478 0.10020992 0.09644365 -2.85795794 2.8579579
## MASE ACF1
## Training set 0.1562626 0.409508
## Test set 0.8269550 NA