Some Examples of spread, gather, unite, separate.
See the R Studio Data Wrangling Cheatsheet.
See the R Studio ggplot Cheatsheet.
library(tidyverse)
The examples from the cheatsheet.
mydata <- data_frame(
a = 1:3,
b = 4:6
)
mydata
Arrange the data.
arrange(mydata, desc(a))
Rename the data.
mydata <- rename(mydata, x = a, y = b)
mydata
arrange(mydata, desc(x))
mydata %>% mutate(x.prop = x/sum(x), x.cum.prop = cumsum(x)/sum(x), y.prop = y/sum(y), y.cum.prop = cumsum(y)/sum(y)) %>%
select(x, x.prop, x.cum.prop, y, y.prop, y.cum.prop)
Example, page 27, Problem 2.2, Ott 3rd Edition
imports <- data_frame(
Year = c(1979:1986),
Import = c(17518,15491,19898,16663,17061,26171,23650,19650)
)
imports
imports.wide <- spread(imports, key = Year, value = Import)
imports.wide
imports.narrow <- gather(imports.wide, key = "Year.New", value = Import.New)
imports.narrow
imports.narrow <- imports.narrow %>% mutate(Year.New = as.integer(Year.New))
imports.narrow
imports %>% ggplot(aes(x=Year, y=Import)) +
geom_col()
![](data:image/png;base64,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)
imports %>% ggplot(aes(x=Year, y=Import)) +
geom_line()
![](data:image/png;base64,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)
Example, page 28, Problem 2.4, Ott 3rd Edition
GNP.1985 <- data_frame(
Year = c(1985,1985,1985,1985),
Quarter = c("I","II","III","IV"),
GNP = c(3910,3961,4017,4067),
DPI = c(2505,2532,2503,2533)
)
GNP.1985
GNP.1986 <- data_frame(
Year = c(1986,1986,1986,1986),
Quarter = c("I","II","III","IV"),
GNP = c(4137,4203,4266,4308),
DPI = c(2536,2555,2579,2589)
)
GNP.1986
GNP <- bind_rows(GNP.1985, GNP.1986)
GNP
GNP.wide <- GNP %>% select(Year, Quarter, GNP) %>%
spread(key = Quarter, value = GNP )
GNP.wide
GNP.narrow <- GNP.wide %>%
gather(key = Quarter, value = GNP, I,II,III, IV ) %>%
arrange(Year)
GNP.narrow
GNP %>% ggplot(aes(x= factor(Year), y = GNP, fill = Quarter)) +
geom_bar(stat = "identity", position = "dodge") +
labs(x = "Year")
![](data:image/png;base64,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)
Example, page 30, Problem 2.14, Ott 3rd Edition
SAT <- data_frame(
GT = c("Male, Math", "Female, Math", "Male, Verbal", "Female, Verbal"),
"Year 1967" = c(514,467,463,486),
"Year 1970" = c(509,465,459,461),
"Year 1975" = c(495,449,437,431),
"Year 1980" = c(491,443,428,420),
"Year 1983" = c(493,445,430,420)
)
SAT
SAT.wide <- SAT %>% rename("1967" = "Year 1967", "1970" = "Year 1970", "1975" = "Year 1975", "1980" = "Year 1980", "1983" = "Year 1983")
SAT.wide
SAT.narrow <- SAT.wide %>% gather( key = Year, value = Score, "1967", "1970", "1975", "1980", "1983" )
SAT.narrow
SAT.narrow2 <- SAT.narrow %>% separate(GT, c("Gender", "Type"))
SAT.narrow2
SAT.narrow3 <- SAT.narrow2 %>% unite(GT, c("Gender", "Type"), sep="_")
SAT.narrow3
SAT.narrow %>% ggplot(aes(x=Year, y=Score, color=GT) ) +
geom_line(aes(group = GT))
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAArwAAAGwCAIAAADE8iHyAAAACXBIWXMAAA7DAAAOwwHHb6hkAAAgAElEQVR4nOzdd3wUdf4/8M+UnZkt2U3ZVFIpSQhJQEBEQSCCIIgIAQSRHxY89TxUBO88z1NO8Ct3iHfKKcoBdjEIoQpEBAQUDErvJJQkmkJ62b47O78/VmOEkLrZ2U1ezwcPH7uTnZl3YjZ55VMpSZIIAAAAQHNouQsAAAAA34DQAAAAAC2C0AAAAAAtgtAAAAAALYLQAAAAAC2C0AAAAAAtwspdQPPq6urkLqFFeJ6XJMlms8ldiDeiKEoQBJvNJoqi3LV4I4ZhOI4zm81yF+KlOI4jhODNdSNKpdJutzscDrkLaRE/Pz+5S4C284HQYLVa5S6hRQRBkCTJV6r1MIqiNBqN2WzG16dRgiCwLGuz2bBuSqN4nqcoCt88N+Ln52exWHzl64PQ4NPQPQEAAAAtgtAAAAAALYLQAAAAAC2C0AAAAAAtgtAAAAAALYLQAAAAAC2C0AAAAAAtgtAAAAAALYLQAAAAAC2C0AAAAAAtgtAAAAAALYLQAAAAAC2C0AAAAAAtgtAAAAAALYLQ4E5VPrKfPQAAQBuwchfQedSJYrcfjwezbKLAx/OKvoLQVykkCDwld2EAAABugdDgNjQhK3vG/VBVfcpiXVtdu1KsJoT4M0yqkk8RhGSBTxH4njzHUEgRAADgkxAa3EbNMA8EB00QONfTErvjhMVywmw5YbZ+WVv3TnklIURBUd15rq8g9FXyfZVCqiAoaWQIAADwDQgNHSVMwYYpNGP8NK6n1aJ4wWpzZYgTFsv66honISxF9eC5BI5LELi+SuFmlTKQYeQtGwAA4EYQGjzEn2FuUSlvUSldTw1O5xmL9YLFet5qPWG2flVmsEoSISSUZfsqf2mHSOT5GE4ha9UAAAC/QWiQh4amG2YIuyRdcrVDWCwnzNZ3yqtMTichxJ9h4nmur5J3DauM53n0ZgAAgFwQGryCgqISBT5R4KcRnetIwyERm2rqVlZUE0I0NJ0k8IkCn8BzfZVCP6XAY1glAAB4CkKDl7pmSIQrQ1ywWC9Y7YdM5k8qq6XrhlWmCLyKxsIbAADQURAafMM1GaJWdJ6zWuuHVWbW1IrXDYnor1QGsxhWCQAAboPQ4JO0zO+GRNic0mXbb0Mi/ltWaWmQIRIFPp5TYKUpAABoJ4SGzoCjfzckwiFJF622E2ZLjs1+3mL9tKq60iESQrQMncjz9cMqe2GlKQAAaA2Ehk6I/XVYZf2RhsMqt9QYXMMqOZqK434bEtFXKQjIEAAAcGMIDV1Cy1ea6isICbwiQeBvVioDMSQCAAAaQGjoiq5ZaapOdJ61Wk+YLRestvMW66aaWtt1wyr7KYVQFt8tAABdmg/8GmB8ZGVliqIoivKVahvyZ5jbOMVtv7ZDuFaaOm4yn7BYjpssDVeaShD4fiqhryD0UylbtdIURVGEEJqmffHr4wE0TRNCGIaRJEnuWryR6/sH3zxNwJsLPIPy/h9SZrNZ7hJahOd5SZJsNpvchbiZKEkFVts5i+WY0XTUYDpsNJbZHYQQLcv0USpvUiuTlMpEpTBAreJvvEoERVGCINhsNlEUPVi7z2AYhuM4X/lW9zyO4yiKslqtchfipZRKpd1udzgcchfSIkqlUu4SoO18IDSUl5fLXUKL6HQ6p9NZV1cndyEdrn5Y5QWL7YLNlmOxNrvSFEVRQUFBdXV1+LnfKEEQNBpNRUWF978fZaHVaimKqqmpkbsQL6XX6w0Gg8VikbuQFtHr9XKXAG3nA90T4G2uGVZZI4rnrxtWyVBUpIJNcM3wVAoDVaogeYsGAIB2Q2iA9tL9flil0ek8Y7GeNFtOWaynLda95UabUyKExF356cEg/0d0WiU23QIA8E0IDeBmapoepFIOarCB53mr7bTFetghvlp0dUVp+Z9D9Pf7a1msCQEA4GuwvxF0LAVFpQj8jADdR4m9DiXF36xUzi8suf1i3pbaOvTeAwD4FoQG8JxeAr86OuKrHjHhCnZ2QdGYS/nfGkxyFwUAAC2F0ACedpNS2BAbtT420iFJ6Xk/Tcn7+aTZN0Z9AwB0cQgNII/hGvXunrGroyPybbZRl/JnFxTl2exyFwUAAE1BaADZUIRM0Pod7BW3NCI022S+LffK/KKrpT6yQA0AQBeE0AAyU1DUrED/H+Pj/hoStLGm9uacK4uulteJTrnrAgCAayE0gFdQ0fTTwUGH47s/GhTwXnnlwJzLy8oqbFgeEQDAmyA0gBcJZJiXQvWHesWN1/m9VlpxS+6VjyurRUQHAADvgNAAXieSU7wREbq3R0x/QZhfdHXEpfwttZ1/Rw8AAO+H0ABeKlHgV0dHbOseraXp2QVFd18uOGTCJpAAAHJCaACvNkil3NY9+tOYbhWiOP5ywQP5hZesnW3zcQAAX4HQAD5gjJ/mu56xb0SEnrRYhl7Mm190tcSOmZkAAJ6G0AC+gaWoWYH+P/Tq/kJI0OaaukG5lxddLa8RRbnrAgDoQhAawJcoaerp4KAfe8X9IShwRXnlzblXlpVVWDG9AgDAIxAawPcEsMxLofof4rvfo/V7rbRiUM5lzMwEAPAAhAbwVREK9o2I0P09YwcqlfOLrg7DdtsAAB0MoQF8WzzPrY6O2NE9Ws+yswuKxl0uOGjEdtsAAB0CoQE6g4Eq5ea4qPWxkWan894rP03J+/mMxSp3UQAAnQ1CA3QewzXqPT1iV0dHXLHa7riYN7ugqMCO7bYBANwGoQE6FZoiE7R+3/eKez0i9KDJdGvulflFV8sdmJkJAOAGCA3QCXE0NSvQ/3B89+eDgzZU1w7MubzoarnBie22AQDaBaEBOi21a7vthO4zArTLyysHXrj8v4oqB2ZmAgC0FUIDdHJBDPNaeOi3PWOHqFV/Ly4dipmZAABthdAAXUJPnlsdHfFVj5gIBTu7oGjMpfxvDZiZCQDQOggN0IXcpBQ2xEatj40UCUnP+2lK3s8nzRa5iwIA8BkIDdDlDNeod/WIWR0dUWCzjbqUP7ug6IoNMzMBAJqH0ABdEUXIBK3fgV5xSyNCs03mIblX5hddLXVgu20AgKYgNEDXpaCoWYH+P8bH/TUkaGNN7c05VxZdLa8VMTMTAKBxrNuvOG/evIsXL7oe33333Y8//jgh5NixYytXrjQYDIMHD37sscdYlr3RQQAPU9H008FBMwP93ymveq+88tOq6j8FBTyhD+QoSu7SAAC8i/tbGkpKSj799NP169evX7/+0UcfJYSYTKalS5fOnTt31apVpaWl27Ztu9FBALkEMsxLofpDveLGa/1eK624JfcKttsGALiGm0ODwWBgGEar1XIcx3EcwzCEkCNHjvTq1Ss+Pp7juAkTJhw4cOBGBwHkFckp3ogI3dsjpr8gzC+6OuJS/pbaOrmLAgDwFm7uESgpKZEk6emnny4tLY2Pj3/yySfDwsLKy8tDQ0NdLwgNDS0vLyeENHrQpaKiYu7cua7H48ePnzx5snuL7CCuhOTv7y93Id5LpVIplUq5q2jeYEIyw0K/rzW8kFcwu6DoVq1mcWz0EK1fx92RpmlCiE6n67hb+DS8uZqlUqkEQZC7Cuj83BwaFArF2LFjJ0yYQNN0Zmbmv//97yVLlhBCqAbdw9KvTb6NHnRdpHfv3q7HwcHBDh8Z007TtCRJvlKth1EUxbKs0+kURZ/ZO+pmlbArKX5PTe1f8n8ecfLsHTrtv2Iik1UdEnoYhqFpGt88N+IKVfj63AjLsqIo+sqbC8PXfJqb/+eFhYVNnTqV4zhCyD333LNlyxZJkvR6/alTp1wvKCsr0+v1hJBGD7potdq//e1v9U8bNkJ4M51O53Q6DQaD3IV4I4qieJ63WCxWq1XuWlpnEEPviotaU1XzelnFrafOzQjQ/Tk4KEzh5jeOIAgKhcJoNEoYRdEYrVZLURTeXDciCILVarVYfGOlMrSI+DQ3j2k4cODAX/7yl5qaGovFsnPnzuTkZIqiBgwYkJOTU1hYKElSVlbWkCFDCCGNHgTwQixFzQr0/6FX9xdCgjbX1A3KvbzoanmNj/xVBwDgRpR7/7KRJOmTTz75+uuvJUlKTk5+/PHHAwICCCFHjx59//337XZ7amrq448/7mqeavTg9XyrpaGuDuPmGkFRVFBQUF1dnc+1NFyjyiG+XVH1v/JKJUPPCQp4TB8ouGNmpiAIGo2moqICLQ2NcrU01NTUyF2Il9Lr9QaDwVdaGhq2K4PPcXNo6AgIDZ1ApwkNLkV2xxtlFZ9V1YSyzPzgoAcCdEz7ogNCQ9MQGpqG0AAegxUhAVotQsG+ERG6v2fsQKXyuaKrw7DdNgB0DQgNAG0Uz3OroyO2d4/Ws+zsgqKxlwsOGrHdNgB0ZggNAO0yUKXcHBe1PjbS4nTee+WnKXk/n7F0hi4YAIDrITQAuMFwjXpPj9jV0RF5NtsdF/NmFxTlY7ttAOh0EBoA3IOmyASt38Geca9HhB40mW67eGV+0dVyB2ZmAkDngdAA4E4cTc0K9D8c3/354KAN1bUDcy4vulpucGK7bQDoDBAaANxPTdNPBwcdTug+OyjgvYrKgRcuLyursDkxwQIAfBtCA0BHCWKYl0L1+3vEDlGrXr1aPuwSZmYCgG9DaADoWD14bnV0xFc9YiIU7OyCojGX8vcbjHIXBQDQFggNAJ5wk1LYEBu1PjZSJGRy3s9T8n4+afaN9fsAAOohNAB4znCNelePmNXREQU226hL+bMLiq5gZiYA+A6EBgCPogiZoPU70CtuaURotsk8JPfK/KKrV+2IDgDgAxrfWBIAOpSComYF+k/21y4vr1peXplZXftkt/DeFOnBKXryHOeOnTMBANwOoQFANmqa/nNI0MOB/m9VVq8oLql1iIQQmpBIhaInz/XiuZ4814PjevFcmAJvVQCQH34SAchMzzKvR3d7NynhUmnpeYv1gsWab3fkWW17jaZVldWiJBFCOIqK47kEjovluXhOkSjwPXlOTaN7EQA8CqEBwFv4M8wtKuUtKmX9EZtTKnY4zlt/SRLnLdZvjMY60Vn/+nieSxT4GAWbIPCJPB+lUNDo2QCADoPQAOC9OJqK4RQxnGKMn6b+YLUo5tvs5y3WHJs9z2o7ZDJ/ZrVd3yDhShJ9BF6DBgkAcBOEBgAf488w/kqmr1KoP3JNg0S+zb6mqrp+ryw0SACAuyA0APi8VjdI0FQ4yybwfH2SQIMEALQEQgNA59RIg4QkXbbaLtrsF63WSzZ7rtX2cWV1tfhLg0SEgv11sgbfk+d68lw3lkWDhJeTCKkSRdFmV8tdCXQRCA0AXQVHUYkCnyjwhNywQeKo2bKmqsZ6gwaJJJ73Y9Ag4SEWSap2iFcdjhKHo9oh1jid1aJYLYo1olR/sEIUHZJ0d1BARly03PVCl4DQANClNTpCIs9uz7VaL1ltF622izb7J1XVVb+OkAhTsD05ztUU0YvnenAcRki0iihJVaKzUhSrRLHSIVaKYoXDUSk6K13/FR1VotN1/JoTeYoKZJlAhglkmSCG6cmrAhg6kGEDGPqmkGBZPhfoghAaAOB3OJqK57l4nmt40NUgkW+3n7dYL1hsx8yWz39tkFBQVITitwaJGE6RJAjBLCNT+XKySNJVu6PE4agWxYZtA1ftYonDUeN0VjvEclF0jSypx1OUP8P4s4yOpgMYNo5jwhRsKMvoaNqfZfwZRkfT/gwTqmBvlM30Wj+DweCBTxAAoQEAmlffIDFB6+c64pCkQrsjz2a7YLVdsNrybfbNNbX5v+6/5c8wMZwigecTeEUsz8VzXC+eY3x2eez2pwF/honluEbTAJb7BB+Cb1YAaAuW+mXKxnDNb4PwrmmQuGC1bqmptTRokIjluHhekcjzMZyit8CHsDL/CKoWxRK745cQ8GsauOoQS+yOalFsTxoIU7D+TFdsboHODaEBANymiQaJfJv9vNWaY7XvrDOuqqiWfn19wwaJGIUiUeB5dzRItCQNlDkczt+fdU0aSBT40PomgV8fhCtYHdIAdFUIDQDQgeobJBoerBHFvN83SGytrTU7G2+QSBR4bYNzr08D9VGgnWkgQqHQYm4IQJMQGgDA03QM0/f3DRKiJP1kd1y02nKttos22yWrbXONYaWj2vVRvaJARVMVdofReU0YIBqaDmKZIJYJoJlYjgtg6ECWCWAYPcsGMnQgywbQdCDLYLdxALdAaAAA+TEUFcspYjnFKL/fRkjUis6LVttFm7WAUBanpBbFAIZ2pYEAhglkmQCa4TDdE8CDEBoAwEtpGbq/SuivErRaLUVRNTU1clcE0NWhAw8AAABahJJ+P5XIC9ntdrlLaBGWZSVJEq9bxw1cFAqFKIrO6/qkgRBC0zTDML7yre55DMNQFOVwOOQuxEv51ptLoVA0/yLwVj7QPeErbZI6nc7pdNbV1cldiDeiKCooKMhkMlmtVrlr8UaCIGg0mtraWu8P8bJA90TT9Hq92Wy2WCxyF9Iier1e7hKg7dA9AQAAAC2C0AAAAAAtgtAAAAAALYLQAAAAAC2C0AAAAAAtgtAAAAAALYLQAAAAAC2C0AAAAAAtgtAAAAAALYLQAAAAAC2C0AAAAAAtgtAAAAAALYLQ4E4mW5ncJQAAAHQUhAa3uVK+5+1vEi9XfiV3IQAAAB0CocFtogKHxOlHbjv74LmrX8hdCwAAgPshNLgNS/PpN33WI+juXblPn726Ru5yAAAA3AyhwZ0YWnFX4v8SQ+7blTP3eNFKucsBAABwJ1buAjobmmJGxb+lYNT7L73odNr7Rz4pd0UAAADugdDgfhShhvd4jaEU315ZYHZUDIl9Se6KAAAA3AChoUNQhLq9+0KlQn8gb5EkOYfGLZC7IgAAgPZCaOhAA6OeJoQcyFtkEw1pPf5FURhBAgAAPgyhoWMNjHqaY/32XvqrXTTeGb+MpvAFBwAAX4XfYR0uNfxhhlLsvjjfKdlHxy9naIXcFQEAALQFGsw9oU/YzLsS3rtUsW3buYdEp1XucgAAANoCocFD4oMnjev9QUH1vk1npttFo9zlAAAAtBpCg+d0DxxzT9LHJbWHN52ebhPr5C4HAACgdRAaPCom4I6JyV+UG09vOJVutlfKXQ4AAEArIDR4WjfdrekpG2os+RtPTzHbK+QuBwAAoKUQGmQQ6ndTenJmnaVw/cl7DNZiucsBAPA9DodjyZIlaWlp/v7+3bp1u+eeew4ePEgIGT9+PNWY8ePHy11yZ0BJkiR3Dc0oLy+Xu4QW0el0Tqezrq6lgxUqTTkbTk1mKG5y6gatENOhtcmOoqigoKC6ujqrFZNHGiEIgkajqaio8P73oyy0Wi1FUTU1NXIX4qX0er3BYLBYLHIX0iJ6vb79F6mpqRk3btz58+fnzZs3YMAAo9GYkZGRmZm5bt26Pn36VFdXE0IuXbo0c+bMjz76KD4+nhDi7++fmJjY/lt3cVinQTaBqvj7+m3LPDFp/amJ6cmZ/sruclcEAOAbFi1adPny5ZMnT3br1s11ZPLkyXPmzPnjH/9YWFioUCgIIRqNhhCSmprar18/OWvtXNA9ISctHz0ldTNNFOtO3lNhOid3OQAAPqC2tnbZsmWLFi2qTwwu//jHP5YtW2YwGOQqrCvoqNDw448/Pv744/VPd+7c+eijjz7wwAOLFy+ub8A/duzYk08+OWvWrOXLlzscjg6qxMv5CZH39f1SpQhaf/Leq3XH5C4HAMDbnTt3zm63p6WlXXNcr9dPnz49ICBAlqq6iA4JDaWlpe+++25972xhYeGqVasWLFiwevVqjuPWrFlDCDGZTEuXLp07d+6qVatKS0u3bdvWEZX4BBUXkp6ywY/rtvH01OLaH+UuBwDAqxUWFhJCwsPDXU+rq6sbDnh87733ZK2uk3P/mAa73b506dIZM2Z88cUXriM0TdM0rVKpFAqFIAg0TRNCjhw50qtXL9f4lAkTJmRkZNx7772u1xuNxvXr17seJycn+8rQFZqmKYpSKpVtOFepjJp5y1dfHJ206fTUyTetjQkc4e7qZEZRFCGE4zjX/324BsuyhBBBEOQuxEsxDEMIadubq4vgOM71LusKYmNjCSH5+fm9e/cmhGg0mu+//971oRkzZshYWFfg/tCwatWq4cOH9+rVq/5IeHh4enr6I488IgiCTqdbtmwZIaS8vDw0NNT1gtDQ0IZTJIxG40cffeR6PH369P79+7u9yI7gese6frq1gYqoHr5995rse9cfu+/+QZk9Q8e4tTqvwHEcx3FyV+G9VCqV3CV4KdebC1+fJigUCtfov64gISGBZdmsrCxXaGBZdvDgwYQQm81WVFQkd3WdnJtDw/79++vq6saNG1dQUFB/8Pz58/v27XvttddCQ0M3bNjw3nvvzZ07l/z6g8Cl4UyzkJCQPXv21D/trFMuGzU2/sMvzz742aF770pY0VPfeWYVu6ZcGgwGTLlslGvKZWVlJaZcNgpTLpum1+uNRmPXmXKpVquffvrp1157beLEiXFxcfXHFy9ejJ8wHc3NbcUHDx48evTozJkzn3/++atXrz7wwAPV1dWHDx+++eab+/Tpo9frp0yZcvDgQUmS9Hp9aWmp66yysjK3zNztBFhaeU/Sp3GBd+44/+i5q2vlLgcAwBu99NJLUVFR/fv3f+2113bu3Llhw4YZM2asX78+KSlJ7tI6OTeHhr/+9a8ZGRmfffbZv/71r9DQ0M8++8zf3z8uLu7IkSOFhYUWi+Xrr7/u0aMHRVEDBgzIyckpLCyUJCkrK2vIkCHurcR3MTQ3NnFVQsjkXbnPnL26Ru5yAAC8jr+///fffz9nzpyNGzemp6cvXLgwPDw8Ozv7ySefjIiIkLu6zswTizvddtttxcXFf//73202W3x8/LPPPksIUalU8+bNW7x4sd1uT01NxQKfDdEUO6rXMoqwu3Lm2kRDv4jH5K4IAMC78Dy/aNGiRYsWNTz4pz/9qf5xcnIy+vvcDstIu41bxjQ0JBFp/6UXjxetvDXmr4Oi57vrsrLAMtJNwzLSTcOYhqZ1wWWkQS5YRtp7UYQa1uP/aFrxff4/7U7TkNiX5K4IAAC6NIQGr0YR6va4V5Rs0IG8RZIkDolbQJGuMhUbAAC8DUKDDxgY9TRF0d9decUmGtJ6LKEorI8EAAAyQGjwDQMi53CM5ptLz9tF453x/6Up/I8DAABPw+8en5ES/pCCUX+d87TotI9JeJehu8rqbwAA4CXQ0O1LEkOmjkl493Ll9m3nHhSdmIYAAAAehdDgY+KDJ97d+8OC6v2bTk+zi0a5ywEAgC4EocH3xAWOntgn46rh+KbT022i25aFAADwCZIkOdrH6XTK/Un4Koxp8EmR/kMnJmdsPj0j8+SkiclfKBWBclcEAOAhTqfTbDa35wqCINA0/mZuC3zVfFWEdnB6yoY660+ZJycYbVflLgcAADo/hAYfFurXb1LyepO9fMOpSQZrsdzlAABAJ4fQ4NuCNSlTUrfaRMMXJ+6uteTLXQ4AAHRmCA0+L1DVa2rfLymKXn9qYrX5stzlAABAp4XQ0Blo+egpKZsYilt3YnyF6Zzc5QAAQOeE0NBJ+AmRU1O3KhX69ScmlNQdlbscAACfpNFoOI4TfjVs2DB3Xfnw4cNDhw5t+evz8vIoipo/f37Dg8OGDWtib3GHwyEIAiHk+PHjgwcPbnOpTUBo6DxUXMiU1M06Zdym01OL636UuxwAAJ909uxZy6/2798vYyWCIGzatEmSJNfT0tLS48ePy1gPQWjoZARFwKTkdYGqhI0npxRU7ZO7HACAziArKys5OTkmJubhhx+uqqoihJw+fTotLe255567/fbbx4wZs2HDhmnTpkVFRb377ruuU15//fWwsLCAgIARI0aUlJQ0e8FG6XS68PDwY8eOuZ5u2bJlzJgx9R+9/haTJ0+2Wq2DBg0ihDgcjqeeeiouLi4hIeHoUbc1PyM0dDY8q5uUsj5MO3DLmRmXK7LkLgcAoENQ1VV0SVFr/1EVZa29UUlJyf33379mzZqLFy+yLDtv3jzX8b179z766KP79+8vLy9fsWJFRkbGmjVrXn/9dUJIfn7+woULs7Ozi4uLg4ODP/jgg5ZcsFGTJ0/OzMx0Pd64cWN6errrcaO3yMzM5Hn+hx9+IIQcOXLkjjvuuHTp0siRI998883WftY3ghUhOyEFrZrQ59OtZx/cfn72XYkregaNl7siAAA3o7/ZyZw52dqzpMho+0OPN/2apKSk+vUi9+3bd/LkybS0tNTUVELIggUL0tLSXB+Kj49PTEwkhCQnJw8ePJiiqOTkZJPJRAgJDQ3NyckJDw+vrq7meb6mpqbh9bdu3droBRs1adKksWPHvvrqqwaD4dSpU7fddpvreNO3IIRER0dPnDiRoqi777575cqVLfvyNA+hoXNiaeWEpE+zLjy+49yjI3u9mRQ6Xe6KAADcyZk2Wrr19taeJSkUzb7m7NmzPXv2rH+6Y8eOgwcP9uvXz/U0MDDQNcjAz8/PdYSiKNdjiqJcR1iWXb58+datWxUKBU3TkZGRDa9fWFh4/QXrz71GbGysSqU6d+7cqVOn7rrrLoZhWnILQkhYWJjrmvWnuAVCQ6fF0NzYxFW7cp/ZlfuMRMQ+oQ/IXREAgNtI/gESCfDAjUJCQtLT05cvX04IsVqthYWFN/oFX2/t2rVZWVnbt2+PiIhYsmRJZWVley7o6qE4c+bMQw891MJbkAYJxr0wpqEzoylmVK+3eodM353z7LHCFXKXAwDge8aOHbtx48bc3Fy73f7CCy8sWLCg2VOKi4tjYmLCw8MLCgoyMjJcfRbNXjA7O7u2tvb6q6Wnp2dkZBw4cOCOO+5o9hYOh0MUxbZ/ts1BaOjkaIoZFf9m34g/7L/890MFS+UuBwDAx8TFxS1btmz8+PHdunXLzc39z3/+08SLXQMVZ82a5fqlPnPmzAR3hqMAACAASURBVPnz5+/Zs+fw4cPNXnDo0KGNTnNITEyUJGnYsGEcx9UfbPQWDMOMHDkyOTnZPZ95Y6j6CaA3UlVV9e233168eHHevHlnzpyJj49XtKBPyI3Ky8s9ebs20+l0Tqezrq5O7kIa933+P38oeGNg1NNDYl/y/N0pigoKCqqrq7NarZ6/u/cTBEGj0VRUVDT7fuyatFotRVHXD/UCF71ebzAYLBaL3IW0SBNrE7WQKIrX/O3eWoIgePgXWUusXbs2JSUlKSlJ7kKa0syYhpycnGHDhrEsW1hYOG/evL/97W/nz5/PysqKi4vzTH3gLrfG/FVBqw7kLbKLxuE9FlOkQ7q7AACgbcrKynr37i13Fc1opnvi2WefTUtLy8/Pdw2/XLVqVVxcXNOTSsFrDYx6emjcP04Wvb8n9zlJcspdDgAA/GbOnDkdNHrRjZppadi/f/+uXbvqJ2wEBwe/8MILEydO7PjCoEMMiPwTx2i+ufQXu9M4Ov5tmsL0GQAAaKlmfmfodLpr+skcDodGo+nIkqBjpYQ/qGDUX+c85XTaxyS8x9Be17EHAADeqZnuiXHjxi1YsKB+ZexTp07NnTv3nnvu6fjCoAMlhky5K/G9y5U7vjw3y+H0jcFTAAAgu2ZaGpYsWTJx4sSQkBBRFAMCAqqrqydNmuRaWxt8Wi/9vSyt2nbu4c2np0/o85mCUctdEQBAizAM084Gb+8fOuC1mp9yKUnSoUOHzp07p9PpkpOT4+PjPVNZPaPR6OE7to0gCJIk+daUwoKqb9cdnRLql3rfgA0c49dxN6IoSqVSWa1Wh8PRcXfxXSzL8jzvK9/qnicIAiHEV6YUep5arbbZbHa7Xe5CWkStbu+fKJIkOZ3tGspN0zRyQ9s0FRouXbr0zDPPvP3227GxsR4s6Vq+MjlbrVZLktTO2cOeV1jzfebx+wJUPab0y1QqgjroLhRFabVak8nkKz/XPIzjOKVSWVtbi3UaGqVSqSiKQqi6EZ1OZzabbTab3IW0iE6na+cVOus6DT6hqe6JyMjI7OzsPXv2PPLIIx4r6Hq+8mvGFX59pdp6IaqBk1M3bjp9X8aRcZNSMtVcaEfcxRXqRVH0ua+PZ7gmKNntdoSGRrm+LPjmaQLeXOAZTYUGnufff//95557rrKyMjU1VaVS1X9o6NChHV8beEiIpu/klM0bT0/JPDkxPSVTw0fIXREAAHijZsY0sGzjqcKTPdNYRtozKk25G09Ppgg7OXWDToh178WxjHTTsIx007CMdNOwjHRroXuizZqZcum4Ac8UB54UqOp1X99tFEWvOzG+wnhe7nIAAMDrNL/LpdPp3Lt373vvvff222/v2bOnnWNWwZv58VFTUjYpGPWGU+nlxrNylwMAAN6lmdBQWlp68803jxw5csmSJW+++ebo0aMHDRpUWlrqmeLA8/yEyKl9v1Qq9Jkn7y2pOyJ3OQAAHqXRaDiOE341bNgwd1358OHDrRoOuGjRItdG2/WGDx++cuXKps/68MMPn3jiiY6ox6WZ0PDMM89wHHf58uXLly9fvHjx8uXLCoXi2Wefbe1twIeoFMFT+m7xV3bfdPq+4rof5S4HAMCjzp49a/nV/v375Spj2rRpO3bsMBgMrqfl5eXZ2dlN7P0kSVJxcXFHV9VMaNizZ88///nPmJgY19Po6OglS5bs3r27o8sCeQms/8TkdYHKhI0npxRU7ZW7HAAAOWVlZSUnJ8fExDz88MOufRVOnz6dlpb23HPP3X777WPGjNmwYcO0adOioqLeffdd1ymvv/56WFhYQEDAiBEjSkpKmr3g9eLj43v37r1t2zbX0y+//HLo0KHBwcHXn3v8+PFx48ZNmDBh6tSphJDKyspx48bp9fq0tLS8vLyW1NNyzYSGRsdyY4B3V8Cz2kmp68N1N28588Clih1ylwMA8Ds1lvyrdcdb+6/CmNPaG5WUlNx///1r1qy5ePEiy7Lz5s1zHd+7d++jjz66f//+8vLyFStWZGRkrFmzxrXNQn5+/sKFC7Ozs4uLi4ODgz/44IOWXPB606dPX79+vevxpk2bpk6deqNzd+/ePXr06K+++ooQkpmZ+fzzzxcVFaWkpLi6Kpqup1Wa2Xti5MiRzz///BdffBEdHU0I+fnnn59//vmRI0e2+X6dmSiSlf9VcjxRqp1KJVGqnEqlpFRJSpUkKCWVShKU5NdNxn2CglZN6LNm+7nZO84/elfCez312KgMALzF/txXzl1d39qzInSDZt68q+nXJCUl0fQvf1Hv27fv5MmTaWlpqamphJAFCxakpaW5PhQfH5+YmEgISU5OHjx4MEVRycnJrrmgoaGhOTk54eHh1dXVPM9fM1t469atjV7wevfdd98rr7xiNBopitq9e/eKFSu2bNnS6LmhoaFz5sxxLaM3YsSI4cOHE0IWLVqk1+ttNlvT9bRKM6HhrbfeGjduXPfu3WNjYymKunLlSmpq6ptvvtnm+3VmDocUqCd1tVRFmcJsIiYTZb92VVeJ5yVBKanUkitVCL9kC6L6NWcISkmp8p5swVDcuMTVWecf33H+DyN7vZkUOl3uigAACCFkWK8Fg2Kfbu1ZLK1q9jVnz57t2bNn/dMdO3YcPHiwX79+rqeBgYGu5nY/v1/266EoyvW4fj8LlmWXL1++detWhUJB03RkZGTD6xcWFl5/wUb3woiNjU1NTd2xY4dCoRg4cGBoaGij5xJCwsLC6q/g+iOfEKLT6bRabWVlpV6vb6KeVmkmNISEhPzwww/79u07d+6cJEmJiYlpaWn1EQx+h+epKTPMv1/cibKYKUMdZbVSFjMxm2mrhTIaaEMdsVio6irWWkyZzZTJSH7f4yMxLBEESamUeEESlJJG41T7EUFw8gJRKiVBKWn8JI2f5JFswdDc2N6rdufO3ZXztF009I141AM3BQBomk6I0QkxHrhRSEhIenr68uXLCSFWq7WwsLDZza7Wrl2blZW1ffv2iIiIJUuWVFZWtvmC06ZNW7dunUqlmjJlShPnNvy9XFBQ4HpQU1NjNBqDg4MzMjKaqKdVmgkNVqt10aJF+fn5n3zyCSFk9OjRW7duXbx4sVKpbPMtuxRJUEpC81+r67MFsVhoYx1lMFAWM11TxbYtW/C8pNFKgtDOz4KmmFG93qIIs+/S35yS46ZuLZrPAwDQCYwdO3bRokXPPvtsbGzsCy+8UFZW5vqF2ITi4uKYmJjw8PCCgoKMjIxrZjbe6ILZ2dlJSUlarbbhi6dOnfryyy8LgvDaa6+1sJi9e/d+8803t99++8svvzxx4kSGYZqup1WaCQ1//vOfMzIyFi5c6Hr64IMP/u1vfyOEoIfCvdyZLcwm8vsFuK7JFkQQnBo/Sa1pVbagKHpk/H84VrP/8ks2se6W6D+393MGAPAFcXFxy5YtGz9+fFVV1S233NL0KELXygqzZs3auHFjTExMbGzs/PnzFy9efPjw4WYvOHTo0F27do0YMaLhBbt169a/f3+n0xkeHt6SYvz9/V988cWFCxeeOXNm4MCBrhc0XU+rNLP3RGho6BtvvDFz5sz6I5mZmU899VRRUVHb7tcG2HuitSiHgzIaKENdo9mCslqoNmcLQfl9xfJDBUsHRj09JPalVpSEvSeahL0nmoa9J5qGvSdayzv3nli7dm1KSkpSUpLchTSlmZYGh8PRvXv3hkeioqJ85Vuzy5JYVtL5E51/0y9rNFtQFrNr1AVVU8XkXb4+W4xiWHVU2h6yzHnuxzvN91OCstFsIak1pLluPwAAqFdWVta7d2+5q2hGM6EhLS1t0aJFn3/+ub+/PyGkrq7u1VdfdeOymiCjFmULp5OymCmzmbKYKZORspgpk2mg+WbGGrFLs8ZJxLFFYxVmM2U2X3txhiWqX6eHqFREqRL1eioxmbSgFwYAoAuaM2eO3CU0r5nQ8Pbbb48ePToyMrJPnz4sy54+fTokJGTPnj2eKQ7kR9OSSi2p1NccTiJ3Okv677n4Z/OQyNEJ79CEoSxmymxydXxQZjNlNlImkytt0HW1VOlVx5mT7De7uFtvt918q/fMKQUAgJZrJjSEhYUdO3Zs+/btZ86csdvtzz777IQJEziO80xx4M2Sw2YpaPXOnDl20Tgu6X1GqZKUN5wATVFUkFpl+nITf2Cv4vRxy6ixYmwPT1YLAADt18xAyIasVivLsozH/0bEQEhvllu+5asLT0Tqho1P+pClbzj/on4gpOOnAuHrbXTRz/aEJOuosde3YXRNGAjZNAyEbBoGQraWdw6E9Ak3XKbp2LFjTz311IEDBwghkiTNnTtXpVLpdLoXXnhBFEUPVgherZd+wvjeH/9c892m09NsoqHZ14shocYZD5vH3qsoyFOvfoc7cuiagZYAAE1jGEbTPizbTCs73EjjoeHAgQODBw8+efKkSqUihHzyyScrVqz43//+98Ybb7z77rsfffSRZ4sErxYbOGpi8tpSw4kNp9It9sa3a/sdinIk9zU88kexRzz/zU7Vp6uZ4sKOLxMAOglJkpztI/dn4MMa755wDX5cvXq1a33KtLS0oKAg115bS5Ys2bBhQ3Z2tsdKRPeETyiqPbT59P3+yrhJKesENvCaj95onQbmp3xh13a6otyeepN1+CiJb+/ilT4K3RNNQ/dE09A90Vronmizxlsajh8//uCDD7oSg9FoPHjw4IQJE1wfGjhwYG5urucK9CmiueuuTBChvWVy6sZay8/rTtxjtLV0s3YxKsY46zFr2mj27Gn16uXs6RMdWiQAALRH46HBZDKp1b+MUNu/f7/NZhs1apTrqd1ut9vtHqrOpzht5OS/uSsrgn763L9ku19ltsqQy1tLWcnRVZJEiKbvlL5brI6azJOTDNYWrxnKMLYBt5gefkIMDVPu2KzK+Jiu8I22JQCArqbxwSAJCQl79uwZOHAgIeTDDz9MSkqKiIhwfejAgQMN9wyF31AkZoK9tthur2JsVYzxMieJFCGEogmrFbkAUREocv6iIkDkAkVG2Tk71YJUCZNTN204NXndyfHpKZk6Ia6FJzp1/ubJM9hLOcLuLPVHK2wDB9uGDJcYDFYCAPAijf9QfuaZZx599NGKigqTybR+/XrXhlUmk+nLL7/897//vXTpUs8W6RtoBQlMcSpif+tpcxhpWwXjqGXsNYytgjHkco46hkiEEMLwEqsTFTqRCxS5oF8eUGxn6M8OUPa8r++XmSfTvzgxPj05M0id2PJzHT3ijTFxikMH+UPfsRfOWkeNdcQhoQIAeIvGB0JKkrR8+fL//ve/JSUl48ePX7VqlSAIo0aN2r1799NPP7106VJPDiHpTAMhJZGyV9O2StZeQ9sqWVsFY69inPZf+i8YtZMPElmtyAeJikAH5+9k/UTim50bRtvVjaenmGzl6Snr9eo+rd2wiikr5b/exhT+5OgRbxk1VtLqOrpgeWEgZNMwELJpGAjZWhgI2WatWNzp9OnT4eHhQUFBHVrQ9TpTaGiUaKHslayt8pcGCWsFU98gQfOSQicqdKJC51QEOvggkQsQKYVv/F4x2cs2nppisBbdm5wRrh3Y6l0uJYk9c1LY+zVx2G23DrPdfCuhb7isiK9DaGgaQkPTEBpa60ahIS8vLy4ubt68eW+88Ub9wWHDhp09e/ZGv4kOHz48d+7c7777roW3bsMtHA6HRqOxWCzHjx9/4oknPDl78Xqt6DNOTk7uuDq6MkaQmAi7EPHb8FJJJPZqxtUg4UoSpnzOafOxBgmVInhy6ubNp6dvODX53j6fBQXd27rzKcqR3NfYM547sI//dg977rTlznHOblEdUywAACGECIKwadOmpUuXuuYPlpaWHj9+3L2bJ3jgFh2n0/7p5tMohnBBoqaXNWCgOWSkIfK+mu5/rIh7vCJyak3ISIO2t5ViJFOBovxbddFGXd4HAZfeCSr4NKBku1/FAXXtOd5aytZ3echLYP0nJn+hVyVtOn3/pdKv23AFSVBaR95luv8hIknqzz9Ubt90/Y6aAADuotPpwsPDjx075nq6ZcuWMWPG1H/09ddfDwsLCwgIGDFiREnJtXPLs7KykpOTY2JiHn744aqqG65019pbTJ482Wq1Dho0iBDicDieeuqpuLi4hISEo0ePuumTbgWEBp/BCJIQYdcmW4KGGMMn1MY+XNX9yfLYh6vC76kNHGwSwu0OA11zUijd6ffT5/6XlwddWRH08xe60t2aqsNK42XOUftLl4eH8ax2Usq6MO2AT7Mn5FfubdtFxG5Rpgcfs6aNZnLPq1e/rThxlKAZH6BrK7M78qy21v4rtjW/ZMDkyZMzMzNdjzdu3Jienu56nJ+fv3Dhwuzs7OLi4uDg4A8++KDhWSUlJffff/+aNWsuXrzIsuy8efPcdYvMzEye53/44QdCyJEjR+64445Lly6NHDnyzTffbN2XzB06akrbjz/+uGrVqhUrVrieFhYW/ve//y0oKOjevfv8+fMDAgIIIceOHVu5cqXBYBg8ePBjjz2GxcBbi2IIqxVZraju/ttB0UI5ahlrBWOvZO01tKVYUXdWkJyu10sKfycX6FDonL9M3NA7aK7Df/sqGPXE5IxtF/7fppMzp6R+qVf3bstVaNo24BZ7QpKwf7ew80vF2ZOWUeOcwSHuLhYAfMPzPxWtr6pu7VmD1Kpdic3MyZo0adLYsWNfffVVg8Fw6tSp2267zXU8NDQ0JycnPDy8urqa5/lrBtls3bo1LS0tNTWVELJgwYK0tDS334IQEh0dPXHiRIqi7r777pUrV7bqc3eLDvk9XVpa+u6779aHAKfT+corrzz22GP9+vVbvXr1hx9++Oyzz5pMpqVLly5YsCA2Nva1117btm3bvfe2ss8bGsMIEiM4+BAHIb8MOZREIhoZaznjGmvpqGVqzyhEM13/ekWAo37aJ68XO2KEBEsLDwzetOKb2zafmTatb5aGj2jbdSSNn3ncRKZPX2HXdvXH/7P1G2gbdoek8I2+QABwo+fCQ/6fPqC1Z+la8NdpbGysSqU6d+7cqVOn7rrrrvq9nVmWXb58+datWxUKBU3TkZGRDc8qLCw8ePBgv379XE8DAwMlSXKNWnDXLQghYWFhrmt6fsdpF/eHBrvdvnTp0hkzZnzxxReuIydPngwODnYtFTV79mzXqNcjR4706tUrPj6eEDJhwoSMjIz60CCKYn1fkZ+fn1xfmtaiKIqiKG+sliEsR/gAkZDfticVLZS9hrZWMLYK5roGCcJqnHyQyAWJnL+TCxT5YLGdDRIURfGsdspNX3x0KG3zmfun3bSdZ7Vtv1z3ntZHnmSzv+Oyv1XknrMNGyWm9GtPebKjaZoQwjAMZk80St6fkj6Bpumu9vVJUgpJyo7arcbVfXDmzJmHHnqo/uDatWuzsrK2b98eERGxZMmSysrKhqeEhISkp6cvX76cEGK1WgsLC2+UGNp8C/Lre0FG7g8Nq1atGj58eK9eveqPFBUV8Tz/4osvXr58OTY2ds6cOVqttry8PDQ01PWC0NDQhlNNysrK6gPEgw8++NRTT7m9yI7jKyNgCSEk/HfPJJHYaomlkphLiamUtlbRdecU9l83u2aVRBlMlCFECCR8AFGFEEFPqFYOiYnQJz04ZPvqb0fszP3jzFu30FT7vv3umSTdOtSxeR2/bSN9OZe9dwoVcO1GWb7F399f7hK8mqtbExqlUqlcmxKDW6Snp0+ePLm2tvbjjz8uLS11HSwuLo6JiQkPDy8oKMjIyBg6dGjDU8aOHbto0aJnn302Njb2hRdeKCsr++STTwgh2dnZSUlJWu21fya16hYOh0MUReIF3Bwa9u/fX1dXN27cuIKCgvqDJpPp4sWLf//732NiYjZv3vzmm2++/vrr5PeJqeEfWIGBga6wRggJDw/3lcnZarVakqR2zh6WGU2Inij1RJn0y4H6BglrOW2voWt/osuPM04HIb82SAh6p6tBgg9yNtEgQVGUVqs1mUxqquf4pPc3nZqx/ofZYxKXtbdgBUemPMBcvMDu2CIufVW8dZjj1tuJDw6O4ThOqVTW1taipaFRKpWKoiij0Sh3IV5Kp9OZzWabzSZ3IS2i0/nAWm2JiYmSJA0bNqzh34GzZs3auHFjTExMbGzs/PnzFy9efPjw4fqPxsXFLVu2bPz48VVVVbfcckv9MMmhQ4fu2rVrxIgRbb7FgAEDRo4cmZyc/Pnnn3fg59wyrVjcqSX++c9/Hj9+nGEYURTNZrNGo3nnnXeOHDly5MiRv/zlL4SQqqqqP/zhD+vWrfvuu++++eabl19+mRBy/Pjxzz77zJUkrtfpF3fyLa4RErZq2l7JWisY16BL0fjbCAlWK3JBomu4JRfoUASIFH3t1tinSz7enTt/SNzLAyPd04xEWSzcgb3c8cNOXYBl1Fgxtnvz53gTLO7UNCzu1DQs7tRanlwRcu3atSkpKUlJSc2/1Be4+W+yv/71r64H+fn5//d///e///2PENK/f/9PP/00JycnJiYmKyurd+/eFEUNGDBgxYoVhYWFERERWVlZQ4YMcW8l0EHqp2yQ6N9mLjkttK2SsVUxrs26LCWsIYeXRNfrJYW/yAU6Td2Ipg/l+o5LDptVZbp48MoiDReWGDK1/VVJgmAdeZcjpZ/w9TbVuk/tCUnWUWMllbr9VwYAaI+ysrLevds0ZcwreaIhNyAg4LHHHvvPf/5TU1OTmJj4zDPPEEJUKtW8efMWL15st9tTU1PHjx/vgUqgg9CCU4hwXruoZS1jdyWJasZexZZ8T+ij6vB7HJzeQQgZ2v0Vo710V+5cDRce6T/0xtduBTEkzDjjEfbMSeXer9nV79huG2676eZOvPg0AHi/OXPmyF2CO7m5e6IjoHuiE6Aoyk8RdPYj0VZFh46pU/ewEUJEpzXz5KQqy8X7+m4PULpzN0vKaBD27WLPnhJDwqyj7xbD2jjD02PQPdE0dE80Dd0TrYUNq9oMf4SBh3BaEveAWRllL96mrcxWEUIYmr+nz6dKNnDTqWkme5kb7yWpNeZxE03TZlGiQ/XpamHnl1TLN8oCAIAbQGgAz6EVUtjdtQEDzJWHVKVfaySRKBWB9yZn2J2mLWcesDvdPPFEjIoxznrMmjaaPXtKvfod9vQJ914fAKCr8b3JaeDTKJoEDTEq/MWybzS2aiZ8fJ1OGTuhz2eZJyfuOPeH8Ukf05RbF6hhGNuAWxw9E/hd25U7NotnTljuHOcMbG/rKADIiGEYtbpdw5xlXyLJdzH/+Mc/5K6hGb6y8oEgCJIk+cpUaQ+jKEqlUtlsNtf6JHyIQwiz155S1p3nVdF2nX9YgKrH4Z/fsouGmICmFmxvG0kQHEkpzrBwxdlT3I/fU3a7MzLaqwZIsizLcZwZG3jeAM/zFEVZ0cd0A643l8PhkLuQFmn/IlSSJLVz9I9rAd92ltE1oaUB5KGKtkdOry7erC1c5x82rrZX1ISa2PwDVxb6CVH9Iv7QEXd09Ig3xsQpDh3kD33HXjhrHTXOEdejI24EAB3K6XRiIKRcvOiPLehqFDqx233VnN5RtElXfUIYGPlU34jZ+y///VLF9g66o8QqbEOGm/7fHySVWrn+M+WGDKoWA/IBAFoKoQHkxAhSxKQabbKlfK+mbJ/69tj/6x44Juv848W1h5s/ua3E4BDTjIfNY+9lin5Wv7+cO3SAOJ0ddzsAgE4DoQFkRtEkOM0QPNxYc0J5dWvA6O4r9eqkrWdn1liudORdKUdyX+PsP9lTbuK/3aP6ZCVd+FMH3g4AoFNAaACvoOtnjphQaylWlKwPHRv1uYJRbTkz0+Ko7tCbSkqldeRdpvsfoiRJ/fmHyu2bKAxFBAC4MYQG8BaqWFvk1BrJRlds6DkueKvRdvXLs7NEqcNno4jdolzLOTC559Wr31acOEqwLCMAQGMQGsCLcHpH5LRqhZ/T8GXqWH53Se2RnRfmSKTjf4XTtG3ALcZH/iR27yXs/FKV8RFdXtrhNwUAL5OXl0dR1Pz58xseHDZsWBNLXx8+fHjo0FbsnrNo0aL09PSGR4YPH75y5cqmz/rwww+feOKJlly/tfW0FkIDeBdG7ew2tUbT02b/bsBo86GLpZuz8//lmVtLfn7mcRPN6dOp2hr1xyv53VmUHatuAHQtgiBs2rSpfh2I0tLS48ePu/H606ZN27Fjh8FgcD0tLy/Pzs6eOHHijV4vSVJxcbEbC2gnhAbwOhQjhY6pCxxkos/1u6P06JG85aeKP/TY3R094k2z/2S9ZajixBH16ncUOec8dmsAkJ1OpwsPDz927Jjr6ZYtW8aMGVP/0ddffz0sLCwgIGDEiBElJSXXnJuVlZWcnBwTE/Pwww9XVVU1ev34+PjevXtv27bN9fTLL78cOnRocHDw9eceP3583LhxEyZMmDp1KiGksrJy3Lhxer0+LS0tLy+vJfV0BIQG8EoUCRxsCrurTihJHZF3IvvCW/lV33js5hLL2oYMNz38R2dQiLB5nXJDBlXTsUMyAaC1HCbKXkO3+p+h+YUgJ0+enJmZ6Xq8cePG+t6E/Pz8hQsXZmdnFxcXBwcHf/DBBw3PKikpuf/++9esWXPx4kWWZefNm3ej60+fPn39+vWux5s2bZo6deqNzt29e/fo0aO/+uorQkhmZubzzz9fVFSUkpLi6qpoup4OghUhwXtp4q2Mn1iytcfQ80e/dUxS3xqiV/fx2N2dAYGmqQ8oLpzld+1Qv/+ubdBttsFDCePWrTEAoK1KdvM151q9qqMqQoyb2cxqkpMmTRo7duyrr75qMBhOnTp12223uY6Hhobm5OSEh4dXV1fzPH/NXu1bt25NS0tLTU0lhCxYsCAt7YYr4t93332vvPKK0WikKGr37t0rVqzYsmVLo+eGhobOmTPHteL1iBEjhg8fTghZtGiRXq+32WxN3kJA9QAAIABJREFU19NBEBrAqynDHVHTawo3+w86v/Nbxx9Hpc3z47t5sgB7QpIjpjt3YC+f/a3i3GnLnePEmDhPFgAAjQoaaPfr1ertNlhl8wOrY2NjVSrVuXPnTp06dddddzG//qnAsuzy5cu3bt2qUChomo6MjGx4VmFh4cGDB/v16+d6GhgYKElSoztcxMbGpqam7tixQ6FQDBw4MDQ0tNFzCSFhYWH1V4iOjnY90Ol0Wq22srJSr9c3UU8HQWgAb8dqxahptYXbuZSc9w/b3rpt3ESe1XqyAEkQrCPvciT35b/erlr3qSMpxTLiTknVrk32AKCdlOGiMryjLu7qoThz5sxDDz1Uf3Dt2rVZWVnbt2+PiIhYsmRJZWVlw1NCQkLS09OXL19OCLFarYWFhU3siTVt2rR169apVKopU6Y0cS7dYF+9goIC14Oamhqj0RgcHJyRkdFEPR0EYxrAB9CcFDnByiUVR12Zd2LTOVGO3fzE0HDTA49Y7rybuXhBvXo5d+QQlnMA6KzS09MzMjIOHDhwxx131B8sLi6OiYkJDw8vKCjIyMi4ZtOssWPHbty4MTc31263v/DCCwsWLHAdz87Orq2tveb6U6dO3bFjx7Zt21wDJm50bkN79+795ptvHA7Hyy+/PHHiRIZhmq6ngyA0gG+gaBI9SmBuPexfNPrc2nLRKse2thRl79vfOPtPYo9e/J6vVJ+sYkqKZCgDADpYYmKiJEnDhg3jOK7+4KxZs1y/p2fOnDl//vw9e/YcPvzbLjlxcXHLli0bP358t27dcnNz//Of/7iODx069OjRo9dcv1u3bv37909MTAwPD2/i3Hr+/v4vvvjiwoULIyIicnNz33rrrWbr6SBUO3cl94Dy8nK5S2gRnU7ndDrr6urkLsQbURQVFBRUV1dntVrbeamzJ/bT395BKcW4dJoLEN1SXhswP+UJX2+nqypt/QbahqZJPN+eqwmCoNFoKioqvP/9KAutVktRlGfGefkivV5vMBgsFovchbRIEwsltZAoij60NfbatWtTUlKSkpI8c7uOhpYG8DFJfYdVD19mcVQUZKjMP3vobX89MSrW+ODj1qFpihNH1avfYU+fkKsSAPBmZWVlvXv3lrsKt0FoAN9zS8ofS29bXMkdKtzoV3dOkK0OhrHdMsT0yB/FkFDljs2qtZ/Qlb7RKgYAHlM/Z7JzQGgA30MR6o4+r+b3f7Ek8IurOzVl+9Qe2J7iRpz+AeYpD5jTp9PVlaqP/scd2EeJsnWaAAB0KEy5BJ/E0Pz45NXrxHEmzYXuJxbYq5mwsXU0J1t2cPSIN0bHcd/v57O/VZw9Zb1zrCO2h1zFAAB0ELQ0gK9SKgInJq/NC337Uu/nzD8rfl6ns9fJ+f0sKRTWYSNNs/5A1Grlus+UGzKoumvnWQEA+DTMnnAbzJ5oghtnT1yjpO5o5smJPZmH4s/+lzip8HtqhVAZVnH4HUliz5wU9u4kTsk2ZLjtppsJ3UyaweyJpmH2RNO62uwJSZIc7VushWEYurl3JTQK3RPg28L8+o9JeGf7+UfVt2pjjr9auE4XcqfBL8HN0aR1KMqR3NfYI57/djf/zU729HHLnXc7IzyxwitAV0BRlMcmTMI1ELXA5/XU3zMk9qUj5f+qHPKmOtZ+9Su/ymyV3EURSam0jB5vmv4g5ZTUaz5Qbt9EzJ5Yrw0AoOOgpQE6gwGRc+qshfsKnh93S3CgfmrlIZWtigkdbaAYmVv7xcho46w/cMcPc99+o7lyyTJ8lKNPKulE868AoEtBSwN0EsO6v9o9cMxXOU9Yk/aH3GkwXuILM7Wi2Qu+wxnGNuAW4+w/OSKjlTs2q9Z+TJeXyV0TAEBb+MBAyKqqKrlLaBE/Pz+n02k0GuUuxBtRFOXv7280Gm02W8fdxeE0f3FsQo0l7/7+X/FV8UVbNJRCipxo4IK8ZeEE5uIF7uvtlKHOcdPN9uEjJcUvy9rzPK9Sqaqrq73//SgLjUZDCDEYDHIX4qUCAgJMJpPbRxl3kICAALlLgLbzgdDgK0OCOY6TJMlut8tdiDeiKIrnebvdLnbwwkcGa8mH3w9XMMoHB39DGQKvfMHZ66iYe23aXs4OvW8r2G3ku33Ut3uIVieNm0jiEwkhDMMoFApf+Vb3PNemQR2aOH2aIAgeeHO5iyDIt4ortJsPhAZMuewEOm7K5fUqTBfWnxgfqEpMT80kVv7qdq25UKG/3ajrZ+7oW7ccXVUh7NrB5F129Ii3jLyLDw3DlMsmYMpl07ralEuQkRf0+AK4VZAqYXzSR1frju688CdacIZPrNGmWMr2qUt3aySvaW5wBgSZpjxgHnsvU1yofv9det9u4iN/JgJAV8b84x//kLuGZrRzC1SPEQRBkiS0oDaKoiiVSmWz2TzTgqoVonTKuB8K3nBKjuiA29WxNlbjrPpRZSlRqONslJfMGaIoZ0iYPeUm2mRkf/zeeeIoVVlB2WwSL5D2bbTd+fA8T1GUr/TZe57rzdXO9Y48RqWSf0Y0tJmX/PgEcLOE4PRq86Xs/CUaPjw1/GFtsoXVOku2+/28zj9iQi2r9ZY/6yWl0jJmPDVgEHfsRzbnnOLIIUKIpPN3RESJ3SKd3aJFfXCzC0oCAHgGQgN0WoOin6sxF+y//KK/EBsdkKaKtnWbUl28RftThn/Y3bXKbl40ZFWKjFYkJtVWVJC6WuZqMVP4E/NzgSLnLBFFScE5Q0LFyGixW5TYLUoSlHIXCwBdFwZCug0GQjbBkwMhGxKd9i1nZ5TUHp7Sd2uwOpkQ4rTQRVv9rFfZ4JEGbW9vae5udO8Jym6nS0uYnwuYwp+Ywp8oi5nQtDMwSOwW5YiIcoaFO/UhMtbsSRgI2TQMhASPQWhwG4SGJsgVGgghNrFu3YnxZnvltP/f3p2HR1GmawN/q6qX6j370lkIIYnEhB0RRWEEEYgsIiAqiIwoi5/DADrjzOigzvnA4ciIR2UECY5sLhEdlcWAgBAPyDoECAlLCJCdrCS9L1V1/ugYI4SmCd1d3cn9u7y8OpXq5On36mruvG/VU31zNfI4QojAUTW71IYzcl1fS+RQEwmA9ow3v2EVz9MNdXR1laSyjKkoc7WHElRqLkbPxSVw8YlcjJ4wjF+L9iOEBvcQGsBvEBq8BqHBDRFDAyHEaKv6/MRouUQ7pfc2uURLCCECaTymqD+gUvWwxYwyUhKRj4JbvcslZTIy1ZWuVQy6upLiOEEq5aNiWlYx9AmColOtYiA0uIfQAH6D0OA1CA1uiBsaCCE1xpObT46P1Q6akPEJ/fPlE8bz8is71bJQLnZcs0Qj5uWYt3NrbMrpoK+0rGJIKstdt8XidSF8fKIzLpGLi+fDI4P9bhcIDe4hNIDf4ERI6BKi1L2z0tduOT19z/mXHkx7x7VRnWqTaLiqLdryz0NixzfLo4LjirVrCBKp6xxJ15d001W67LJrFYMtPEUEoe0qBh+jFzrvKgYA+BpCA3QVSaEjhqe8tev8Qp0i6a6EBa6NbIwz4YmrVVu05Zt10aMM6h5B32aD14XwuhBnZh9CCGU2MVUVrlUM2f69FMcJEikfHcNFx/Lxic7E7p1sFQMAfA2hAbqQjJjpjZYLP11aqpbp06Mfc22UqPm4yU1XcjXV27Rhg8xhg4OjmZgnBKXK2SPN2SONEEI4jqmrYcpL6YoyadEp6j+HSadbxQAAX0NogK5lSPfFJnv17uKFanlMQshQ10ZaKsQ83Nzwk6rhkNJpoCOHG6nON4XPMFx0LBcdSwbcTdpdxVCquNg4LjqWi0vgExIFBh8OAHAtfC5A10IR6sHUd5qspduKfju599YIVXrLdpqEDzFJQ7jaH9T2RiZ2nIFRBMydKnzgV6sYNitdVclUlEkqy2SH9lOckzAMFxHFxSXw8YnOxCRBgb6/AEAIrp7wIlw94YboV09cw+Jo+OLEwxxvn9ovVymNbPsta6W0couGkQux45tlYX7qNn07V094Gc8ztVdcqxiS0ktUm2sxuOhYLj6Ri4rx/yoGrp5wD1dPgN8gNHgNQoMbgRYaCCHN1suf5Y/WsvGTen8jpX/1l7Sjian6VsuZ6ZisZkWCP7pNB1Bo+DXXKkZLZ+uaaiIIglzOx8Y59QmueQhB4o/ZSoQG9xAawG8QGrwGocGNAAwNhJArhuObT05ICLlv7J0b6F+fxcBZqeptWmulNHyoMaSPzz+LAzY0tEVZLExl2c8dpaoozikwDB8d67rgk4tLEJQqH/1qhAY3KKs1LERnIhRCA/gBQoPXIDS4EZihgRBSXL91e9GszJgZw1PeuuZbAk/q9qmbTrK6vpaI+02UL+80GRSh4Vd+XsVgrlQxZZep5iZCiKBSO+MTeVdba6+uYnTN0EA5ncRqoawWymikjAbaZiVWK2W1tDwwGmijgbJaCMfRPTNsU6YhNIAf4ERI6NJSwsfel/TajxdfC1Om9tXPbvstiiaRDxhloVxtnsrRyMRkGWhZkPyL7gc03XIthuurxga6okxSUcZUlkvPFRFBEBQKTp/A6eO5+AQ+Js4/qxhBw2KmrRbKYqEs5l/+bzZRVgtlMVNWC2U2U1YL4X99Ki7DCKxCUCoFViEolHxsnJNliULJK5TapO4ivRLocnAkQ1fXP/75ZltZXslf1TJ9SsTYa76r62uRhnDV32nKc3Sx45ul2s58SUWH8aFhfGhYy7UYdjtdWd5yLcZPP1JOR9ubc3IJ3QRdiNj1+oprboA2GSmjgVgsbecGKJORMhooi8U1N3DNEwVWIajVgpwVWIWgC+FdD9QaQa0WWIUglwusQlCpbzR5Q0dEEKPR968PAKEBgJBhyUuMtsodZ+epZNGx2ruu+a4yyR4/panqW23ZpyH6cQZW749TI4OXIJNxSclcUrKdtNyck6kol1SUSi6VSE/8h/hyFcN3PEoDFvM1cwMCwxBWISgULWkgOpaXs4Jaw6vURKHwJA0ABBqc0+A1OKfBjYA9p6GVk7d+dWpio7lkat/vQhTJ1+/AmeiqLVpbHRP1oFHT08uvIvjOaegQymiQVJTR5aW/XIshk/GR0S0354xLFFi23Sf67pyGG6UBymSkjQbKZr1BGpAQlm1NA4RlxU0DuHoC/AahwWsQGtwI/NBACLE46j/PH0OIMLVvrkIafv0OAkfVfK82nJOHDrCE32si3vvnoIuEhrYoh52uueK6OSdTUUpZrW1XMfiEbnybVYwOhAbK6WyZA7BabisNqDWCSs3L2UCeG0BoAL/B8gRAC4U0fHzGxi9OPLy1cOajvb9kKNk1O1CMED3KIA3hGg4rHU109ENGStJV/o33OkEq++XmnG1WMZjrVzFi9ETVk/x8KqVX0oAQEtp+GlBr/D4SAMEEMw1eg5kGN4JipsGloumnf5+anBw+ZkzPD6kbXGdpPCe/8r1aHsnFjm1mlF44NbILzjS4QTU3SSpKmcoKuvwyU1dLeJ7I5USlEUxGynbtH9OCVOq6gkBo+a/lggKiUPKsgihVvEJBFMrOffkGZhrAbzrzgQTQAXG6ex664/3cM3N+utz93qRX2t1HnWZjNFz1Vm3ZpyGx45vlkU4/F9m5CVqdQ9vLkd6LtFyLUaaqryUWi51mXAmAV7ZmAiVurAXgTzjeAK6VFjmx0XLh4OVlallsb/0z7e6jiHUmTG2q/FZb8YUuerRBlWz3c5FdhCCTcUk9SO9+FEXZulhzJ4AA5MsudwBB6+7El3rFztxX8peShh032kei5eIfu6qId1Rv0zYeVfizPAAAUSA0ALRvWPLShJChO87MrTUV3GgfWibEjG0O6W+p36+q2aUW/HRTTAAAcSA0ALSPoaVZ6R9p2W7fFDxhsJbfaDeKJuFDTFEjjIYzbNW3Os4WQFfiAQB4F0IDwA3JGPWEjE9pivmm8Amb092CujbTGju+yXZFUv5piL2RcbMnAEDwQmgAcEctjx2f8anRVrm1aCbHuzvbUZnoiH/8KqFJRU6IpVzqtwoBAPzGV6HhyJEjc+bMcb/x+PHjzz///IwZM/75z386nbhoDQJUhCp9TM81lU0H9xT/wf2e0hAufspVWbiz8mudoaj9jsgAAMHLJ6Ghpqbmgw8+uKZNzTUbzWbz8uXLFyxYkJ2dXVNTs23bNl9UAuAV3UKHD095q/DKJ0fKVrjfk1EI+olNmjtsV3aqa/epCHo1AUAn4v3Q4HA4li9f/uSTT7rfeOzYsdTU1LS0NJlMNn78+P3793u9EgAvyoiZPjBh/k+X3iy6kuN+T4ohUSMNkcNMTScUld9qeTtOjQSATsL7zZ2ys7OHDRuWmprqfmNdXV10dLTrcXR0dNte0fX19QsWLHA9Hjt27KRJk7xepC8wDEMICQkJuemeXZZSqVQogrifQVbf5XahfnfxgpjwlO4Rw93vHPIboo3iLn4tq/oqLOUJTq5ztzNN04QQnc7tTl0YDq6bUiqV7A3uEQrgRV4ODXl5eQaDISsrq7S01P1GQgjV5jZxbdcypFJpenq663FkZGSwnO5A07QgCMFSrZ9RFCWRSHie57jgbmWQlfHPJkt5ztHHnrp7V5Qm0/3OmjSS+rSzJEdWlM0kP+ZQxt7wLhUMw9A0jTfPjbhCFcbnRiQSCcdxwXJwSTr1fUA6PS/fsOrvf/97fn4+wzAcx1ksFrVavXLlylWrVl2/8dSpUz/88MPixYsJIfn5+Zs2bXrrrbfa/Zm4YVUnEEQ3rLopq6Mx50SWk7c93m+HUhp50/2dJrpqi9Zex0SNNGruaP/l44ZV7nXg1thdCm5YBX7jq7tcXr58ecmSJR9++OGNNprN5tmzZy9btkyv1y9btqxnz56PPPJIuz8KoaET6EyhgRDSbCv9/PhotVw/uc+3Ulp50/0FB3Vlh8ZYIgsbZA6720yuO8kBocE9hAb3EBrAb0Tr06BUKhctWvTmm2/OnTtXo9GMHTtWrEoAbpVWnjg+Y1Oj+fx3Rc/yHvSOpqRCzMPNYYPMDYeU1bkawYlTIwEgKPlqpsGLMNPQCXSymQaXkoYd2wqfzoiZPjxluYdPMRSyNXvUbJQzZlwzo/jlFAfMNLiHmQb3MNMAfoOOkAAdlBw2akj3105VrTtesdrDp2jutMZNarJfpcs+09nr0W0aAIIMQgNAx/WPm9dX/9yPFxcX12318ClsrCN+ahMtIeU5IaaLMp+WBwDgXQgNALdlaPL/7xE+ZsfZeVXNRzx8ilTHxU+9yuod1Vu1TflB3LgCALoahAaA20JR9Kg7VkWqM789Pf2qpcTDZ9EyIXZcs66XtXafqma32oOTKQEAxIfQAHC7JDQ77s6Nconu64KpFke9h8+iaBLxG2PUCKOhkL38pcIZHCexAUCXhtAA4AUKafj4jI0259WthU9z/C1cIaLNtMaObTZX0AUfkKv/UTgNOCQBIHDhEwrAO8KUaWPvXH/FcHzH2ecF4YYdo6+n7G5Pnm5hI0ndfuWlf4WVf6G7eoLlLDg2ASDgMK+//rrYNdyE2WwWuwSPsCwrCILdbhe7kEBEUZRSqbTb7cHSHr9jtGxCiCL5cOk/eMGeEDLU8yeyOkY/UCZLa5CGOp1NTPNJReMxhfmyVHDQUh1PS7t68wa5XE5RVGdq8uFdroMrWO7NoVTevIkqBCzcOATAm9IiJ161Xvzp0psqWWwf/axbei4jF7TpNm26jbNQpgvy5kJ5bZ6q7keVIt6h7mlV97DTsq6eHgBAXAgNAF42KGGR0VaVV/KKRh6XHD66Az+BUQjaTKs20+o00KYLcsM5Wc1OTS0jKBMdqlSbJtVOSZAeAEAECA0A3jcseWmz9fKOs/Mm9/42Ut2rwz9HouF1fS26vhangTGclRmK2Jqdmrp9girZrk6xKbvZKXSVBAA/QmgA8D6Glmalf/TFibHfnH5iap9cDRt/mz9QouFCB1pCB1rs9YzxvNxwRm4okjOsoOxuV6fYlEl2CudNAoDv4ZMGwCdkjPqRzM9oSvLN6cdtTq/daUkWzoUNNneb2Zg4vVGbabWUSqu2aC//K6x2n8paKSVYtQAAX0JoAPAVlSxmfManRnvV1sKnOd7Ll9XIwrnwIaakWQ3xU5pUKTbjWXn5F7pf0gMAgA8gNAD4UIQqfUzPNZXNh/YUv+STX0ARVu+IHGZKerYhfkqTopvdUMiWf6Er3RjacFBpb8QpDwDgTTinAcC3uoUOH566fNe5BTq226DEF330WyiasHoHq3dE/sZkviw1Fsuv/kfRcEgpC+fUKTbtnTaJtjN3yAAA/0BoAPC5jOhpTZZLBy8v08jj06On+vR3UYygSrarku3CcMpcKjWckTceVTYcUsqjnNp0mzrNxihvoVslAEBbCA0A/nBP0l+M9srdxQtVspjE0GF++I2UpCU9cFaj6aLMdF5e96OqNk/Fxjg0aXb1HTZGgfQAALcGoQHAHyhCjUhZYbRVbSv67WN9t4Ur0/32qxm2vUaT/6t0tYpCo0kA8BxOhATwE4aWZfVcq5JFf1MwzWyvEaEAhaDNtMY/1pT024aI+8yclarZqbn4YVjVt9rmIrngpPxfEgAEF4QGAP9hpaGP9Pqc463fnH7SwZnEKsPVaDL+saakZxrDBpsdTUzNTs3F7LArOzWmEpmAMyYB4AawPAHgV1p54viMT748OWH7mWfH3bmBpsQ8BtFoEgBuCUIDgL9Fa/qOSV+ztXDGD8Uvj0j9h9jlEOJqNBluDhtsttczhjNsc5HcUCSXqHlVik2TamdjHQRrFwCA0AAgiu5hD93X/Y28kldDlSn94+aJXc4vXI0mw+81WaukhvMy41l5U75CquGVPWyaVDurd4hdIACICaEBQBz94uY0W0v/9+LrWjYhM26y2OX8GtXSKirifpOtWtpcJDcUsk35ClerKPUdNlkoTnwA6IoQGgBEMzT5v4z2itwzc0PVCXeoR4hdTjuubzTZiEaTAF0YJQiBfol2XV2d2CV4RKfT8TxvMBjELiQQURQVHh5uMBhsNpvYtQQWJ2/96tSjVy0XZv/mJ8oWHvjHo+CkTBdlhiK5uVQmcMQ/jSa1Wi1FUU1NXrtZaCcTERFhNBqtVqvYhXgkIiJC7BKg4xAavAahwQ2EBjfMjtqc/DEUTd0VvzAt8lEJzYpdkUc4K+VqNGm+LBME4tNGkwgN7iE0gN8gNHgNQoMbCA3uWfiKXecWXaz9QS4NyYie1lv/W608UeyiPNXaaNJaLaVowReNJhEa3ENoAL9BaPAahAY3EBrcY1lWrVYXlx8+Xb2poGq9jWtOCLm/j/657mEPUcFzsaPTQJsuyA3nZNYqKcW0pAdNqp2S3O6HDEKDewgN4DcIDV6D0OAGQoN7rtBQX18vCIKdM56r/epEZXadqUjHds+MmZ4Z8xQrDRW7xltgb2CM5+TG83J7A0PLBVWyTdPTrojveKsohAY3eDsVqgu3CQgN4A9BEBocjuC4NFwikQiCwHE4mbx9UqmU4ziex50V20HTNMMw17zVSxv2H774/pnqb2hacmfspHuSF0Vre4lVYcdYa6nGQrr+JGVrpCQKok3lw+4UtCn8raYHhmEoinI6nb4pM0DxDsLZKM5CnBbiMFIOA+GslNNKnBbCWym7gTiMlNNMBI6E3EFSnwiag0sqlYpdAnRcEIQGzDR0AphpcK/tTMM13zLZq09VrT9Z9ZHFUR+l7tNX/1xa5KMMHVQfuwKxVEtccw+ciZaoeXWaTZ1mY6M9DQGdbKaBs1K8hXZaKd5KcxaKt9K8lXaaKd5GcxaK+3mj8OsMQDGElvOMQmBYnlEINMszCp5hBVrBR3bTUGGYaQB/QGjwGoQGNxAa3HMTGlw4wV5Sn3u8fFWV4YhKFp0ePbVP7LNqeayf67xdAmltNMlZaM8bTQZLaBCcFGejeCvlNNFOEy3YaM5KcTaKt9GtG3krff0twRhWYFQ8LeMZVqBZgZbzjFyQqHlGyTOsQMt5mhUkSv5G57fgnAbwG4QGr0FocAOhwb2bhoZWNcYTp6rWn6nJEQifHDY6M2ZGYugw/xTpRQJPXI0mjefkvJ26aaNJ0UODKw1wJtpppDkb1TYNcCbaaaI5K+WLNOAhhAbwG4QGr0FocAOhwT3PQ4OLxVF3uvqTU9UfN1vLotS9e8U+3TNqioRW+LpOrxM4ytVo0lgsExzUjRpN+i40eJQGLNevFAg0KzCs0DYNSFQ8o+IZueDFNOAhhAbwG4QGr0FocAOhwb1bDQ0ugsBfbPz+ROWassY8mUSbHvVY//h5GnmC7+r0HfeNJjsQGm6UBlxbeHtwpAEPITSA3yA0eA1CgxsIDe51LDS0arQUn6z86PSVT5y8JRgbPLTVttEkIUQe7dCk2WMGSGXqltAgOCnOTDuNLSGgw2lAouIlKp6SB3Qa8BBCA/gNQoPXIDS4gdDg3m2GBhc7ZzhX++/8yjX1pjMhiuSM6GmZsTNYSYgX6/QnzkQbz8uN5+SWagnNEKlGcFoIZ732n3RKIrReUNByNQHL0wqeYQWG5Rlly7duv8FUIENoAL9BaPAahAY3EBrc80pocBGIUNaYV1C9/kL9dgnNpkU+2jfu2XBlulfqFIXTwDhKtY5myklbaZaXtFxt2BIROnca8BBCA/gNbo0N0KlQhEoMHZYYOsxoqyqo3nCicm1B9fpY7aB+cXN6hGfRVPAd8hINF3YPR1FUU5NZ7FoAurqOtnUFgMCmlscO7vbHZwefykpfS4iwvWjWR4f7Hrz83xZHvdilAUCwCr4/OwDAcwwlS40Ynxox3tXg4Wj5u0fL/yc5bHS/uDmx2kFiVwcAQQYzDQBdQpS6z4jUfzwz6PjgxJerjf/JOfHwp8cfLKhe7+SDYyEcAAIBQgNAF6KURg5MmD9z4NFxGRtZacie8y9lH8rcd+EvBluZ2KUBQBDA8gRAl0NTTHLYqOSwUS0NHqo3nahUkfWsAAAPdElEQVRaG+wNHgDADzDTANB1hSpShvVY+uzgguEpb5ls1VtOT99w9J6jZe/anIF+aygAEAVCA0BXJ2M0mTEzpvXPm5i5OUKV8dPlpR8d7rv7/It1piKxSwOAwILlCQAghBCKol0NHpqslwqqN5yu3hjsDR4AwOsw0wAAv6Jjk4Yk/XXW3aceSnvfyZm3F8366HC/g5f/2+psELs0ABAZ/noAgHYwlCw9emp69NQa44n8yg+Plr9ztOx/ksNH94ufG6u5S+zqAEAcmGkAAHei1H0eSlv5zF35g7u9XG04lpOfhQYPAF0WQgMA3JxSFjUwYf7TA49kpa9lpSG7z7/40eF++y/9V7MVDR4AuhAsTwCApxha6mpK3WA+f6rqXycqso+Vv58U+mBf/eyE0KFo8ADQ6WGmAQBuWZgydViPpbPuPjU85a0m66V/F0zecPTe/MoPHZxJ7NIAwIcQGgCgg+QSbWbMjOn9f5yYuTlCdeePJYuzD/Xaff7FetMZsUsDAJ/A8gQA3JZrGjwUVG84Xb0hIXRoZswMNHgA6GQw0wAA3uFq8PDsoFMj094z2+u2F83615H+aPAA0JngjwAA8CaGlrff4CFubqwWDR4AghtmGgDAJ9o2eKgyHM050dLggeNtYpcGAB2E0AAAPuRq8DDzugYPBmu52KUBwC3D8gQA+BxDy1wNHmqNp05WfZxfseY/5Su7hY5AgweA4IKZBgDwn0h1rxGp/3j27oL7k/9Wbzrz74LJG48Nya/80MGbxS4NAG4OoQEA/E0u0fbVz55515GJmZt1bPe8C69mH8zcff7FevNZsUsDAHewPAEA4mjT4OFiQfXGguoNp69sTAi5PzNmRo/wh2mKEbtAALiWr0LDkSNHsrOzV69e7fpy165dOTk5JpMpJSVl3rx5MTExhJDjx4+vWbPGaDQOHjx49uzZEgkSDEBXpGO7D0n666CERWdrv8yvyN5eNEvHJmXGPJURM10hDRO7OgD4hU+WJ2pqaj744ANBEFxfVlRUrFq16vXXX//oo4+6dev27rvvEkLMZvPy5csXLFiQnZ1dU1Ozbds2X1QCAMFCyqgyY2ZMH5D3RL9det2gg6V/X3u4985z/6/WVCB2aQDQwvt/3DscjuXLlz/55JM5OTmuLdXV1cOHD9fr9YSQkSNH7t27lxBy7Nix1NTUtLQ0Qsj48eM/++yzCRMmuPY3mUybN292Pc7MzOzZs6fXi/QFmqYpilIoFGIXEogoiiKEyGQymsZpNO1wTbOxLCt2IQGhm2Jwt8jBzda/5ZevzS//uOhKTmLYfanRozknL3ZpASra1jMtcoLrKAPwKe+Hhuzs7GHDhqWmprZuGTBgwIABAwghDofjs88+GzJkCCGkrq4uOjratUN0dHRdXV3r/iaTad26da7Hjz/+eP/+/b1epC+4jliGwULsDclkMplMJnYVgUupVIpdQgBRKtNGhy17MPNvpyu+OHzxgwPF/xC7osDVwzwyQz9ZKpWKXQh0fl4ODXl5eQaDISsrq7S0tO12QRAOHDiwcePGu++++6mnnnJtbJuLW9cyCCFRUVF79uxp/bJtnghkOp2O53mDwSB2IYGIoqjw8HCj0WizoRtgO1iWVavVDQ0NbQ8EcIlXjrnznqkURTU1NYldS4CKiIgwGo1Wq1XsQjwSEREhdgnQcV4ODQcOHMjPz58+fTrHcRaLZdq0aStXrtTpdO+9915VVdWrr74aFxfn2jMiIuLUqVOux7W1tXgbAQAABDgvh4Y//elPrgeXL19esmTJhx9+SAg5fPjwpUuXli1bRtM0x3GEEIZhBgwYsHr16oqKCr1en5ub61qzAAAAgIDlj6scT58+XVxcPGnSJNeXGo1m06ZNSqVy0aJFb775psPh6N2799ixY/1QCQAAAHQYFfhrqDinoRNwndNgMBhwTkO7XOc01NfXB/7xKAqtVotzGtzAOQ3gN7j+DQAAADyC0AAAAAAeQWgAAAAAjyA0AAAAgEcQGgAAAMAjCA0AAADgEYQGAAAA8AhCAwAAAHgEoQEAAAA8gtAAAAAAHkFoAAAAAI8Ewb0ngsWXX36pUqlGjx4tdiGByGq1rlmzZtSoUWlpaWLXEogKCwt37949b948icQf95ALOtu2bXM6nRMmTBC7kAD13nvvDRs2rHfv3mIXAp0fZhq8Jjc3Ny8vT+wqApTdbl+3bl1JSYnYhQSo4uLidevWOZ1OsQsJUHv27Nm5c6fYVQSudevWnTlzRuwqoEtAaAAAAACPIDQAAACAR3BOg9fU1tYyDBMWFiZ2IYGI5/mqqqrQ0FClUil2LYHIbDY3Njbq9XqKosSuJRDV19cLghARESF2IQGqoqIiJCREpVKJXQh0fggNAAAA4BEsTwAAAIBHEBoAAADAI7go3FNOp/P5559fsWJF68Lhli1bvv76a4fD0b9//7lz57IsSwipqKh47733SktLk5OTX3zxxdDQ0M2bN69fv77tj1q/fn1ISIgIr8GXPBmfGw3F8ePH16xZYzQaBw8ePHv27M7Xq+B2BmfRokXFxcWuLQ8//PCcOXP8Xb3veXhw7dy5Mycnx2KxZGZmvvDCCxqNhhDS6d885DbGRxCEzz///LvvvnM6nRkZGb/73e9cgwbQcQJ4YPv27X/4wx/GjRtnNBpdW44dOzZ37tyysrLm5uYVK1asX79eEASO45577rkjR444HI5Vq1a9/fbbgiA4nU7bzw4dOvTOO++I+Up8w8PxaXcoTCbTk08+efbsWZvN9tprr3399ddivhIfuJ3BEQThiSeeaGpqcm13Op2ivQyf8XB8ysvLp0yZUlpaarFYli9fvmrVKqELvHmE2xufkydPzpw5s7a21mKxLF26NDs7W8xXAp0Clic8Eh8f/+ijjzIM07qlsLCwX79+8fHxGo0mKyvr4MGDhJCTJ09GRkYOHDhQIpHMmjVr1qxZhBCGYWQymUwm43l+69atnfIvRQ/Hp92hOHbsWGpqalpamkwmGz9+/P79+0V7Gb5xO4NjNBoZhtFqta5vtf0hnYaH40PTNE3TSqVSKpWyLEvTNOkCbx5ye+PjmqmKiIiQSqWxsbGujQC3oxNO5flCr169CCFtD7mkpKR169Y98sgjKpVqz5499fX1hJDKykq5XP7KK6+UlJQkJSW98MILWq229SmffPLJmDFjXBOJnYyH49Oq7VDU1dVFR0e7tkdHR9fV1fmxcH+4ncGprq4WBGH+/Pk1NTVpaWnPP/98TEyMn+v3NQ/HJzY29tFHH33mmWdYltXpdO+++y7pAm8ecnvjk5CQkJCQsHv37vfffz8mJubtt98W61VAp4Hg2UFDhgwZOnToiy++OH/+fJlM5lprNJvNxcXFTz/99Mcff9yvX7933nmndf+qqqqCgoLBgweLV7JftTs+LtcPRdvmBEIXuAbY88GRSqVjxoxZsmTJ2rVrU1JSusiHfrvjc+bMmX379i1dunTlypUDBw5ctWqVa+eu9uYhtzg+hJARI0asXbs2IyNj9erV4lUNnQRCQwc5HI5JkyZt2LBh7dq1mZmZer2eEBIaGpqZmZmWliaXy0eOHHnx4sXWT7G9e/eOHDmy67TuaXd8XK4ZioiIiJqaGtfj2trartDAx/PBiYmJmTJlikajUalU48aNKykp6Qr/LrY7PkePHr3rrrsyMjIiIiImT5584MABQRC64JuH3Mr47Nq1a+/evYSQsLCwrKyswsJCkUuH4IfQ0EGlpaVz5sypq6uzWCxfffXVyJEjCSH9+/cvKio6d+6czWbLzc1NT093ffoLgrBv37577rlH7Kr9p93xIe0NxYABA86dO1dRUSEIQm5u7pAhQ0Qq2X88H5z9+/f/8Y9/bGpqslqtO3fuzMzM7Aq5s93x6d69+7FjxyoqKqxW6/fff9+jRw+Korrgm4fcyvjI5fIvvvjCbDbzPL9v377U1FSxa4egh3MaOiglJWXixIkLFy5UKBQPPfTQ/fffTwgJDQ2dPXv2ihUrmpqaevbs+fvf/9618/nz52ma7nyXWbrR7viQ9oZCqVQuWrTozTffdDgcvXv3Hjt2rEgl+4/ng/PAAw+Ul5e/8MILgiBkZma2vqM6t3bH5957762qqnr11VftdntaWtrChQtJl3zzkFsZn/vuu+/cuXPz5s0jhKSnp7seANwOtJEGAAAAj2B5AgAAADyC0AAAAAAeQWgAAAAAjyA0AAAAgEcQGgAAAMAjCA0AAADgEYQGAAAA8AhCA4CvLF68mGGYEydOtN144MABiqLWrl0rVlUAAB2G5k4AvmKxWHr16hUXF7d3715X+2ee5wcPHkzT9IEDB3CfYgAIOvjYAvAVhUKxcuXKvLy8nJwc15ZNmzYdPXp05cqVHU4MNputpKTEezUCANwChAYAHxo1atTUqVNfeuklk8lkMpn+/Oc/z507d8CAAYSQq1evzpkzJzExUavVjhs37vz5866nnDlzZtSoUSEhIRqNZtiwYa2rGxKJZMuWLXFxcfPnzxft9QBA14blCQDfqqysTE9Pnz9/PsMwK1euPHv2bFhYmCAIDzzwgCAIb7zxhkKhWLFixb59+woLC0NDQwcMGKDRaF599VWapl9//XWr1Xr48GFCiEQiSU5Ofvnll4cPH969e3exXxYAdEW4yyWAb+n1+iVLlrz00ks0Tb///vthYWGEkEOHDu3fv//KlSuuLzdu3JiUlPTjjz+OHTv2sccemzx5co8ePQghlZWVCxYsaP1Rzz333KxZs8R6IQAACA0APjdv3rzVq1dLJJKZM2e6thQVFTmdzqioqNZ9OI4rLi6maXrhwoUHDx7cvn37sWPHtm/f3vbn9OnTx59lAwBcA6EBwOcYhunRo4dEImk9/1Gn04WGhjY0NFyzp8lkevDBB2trax955JGJEyfef//9L7/8cut3lUql/4oGALgOToQEEEFGRkZjY+OpU6dcX9bW1k6YMOH06dM//PDDyZMnCwoKli9fPmHCBJ7nxa0TAKAthAYAEdxxxx0TJ06cNm3anj178vLynnrqqaKiorS0NI1GYzabv/zyywsXLqxZs+aNN94wGAzXtIcCABALQgOAODZs2DBkyJAZM2aMGzdOLpfn5uZKpdKhQ4cuXrx40aJFgwYN2rFjx969e8eMGfPKK6+IXSwAACG45BIAAAA8hJkGAAAA8AhCAwAAAHgEoQEAAAA8gtAAAAAAHkFoAAAAAI8gNAAAAIBHEBoAAADAIwgNAAAA4BGEBgAAAPAIQgMAAAB45P8AV14RvsaYK08AAAAASUVORK5CYII=)
SAT.narrow %>% ggplot( aes( x=factor(Year), y=Score, fill=factor(GT) ) ) +
geom_col()
![](data:image/png;base64,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)
SAT.narrow %>% ggplot( aes( x=factor(Year), y=Score, fill=factor(GT) ) ) +
geom_col(position = "dodge")
![](data:image/png;base64,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)
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