Uma senhora toma chá
Visite
#-----------------------------------------------------------------------
# O curioso caso da senhora que toma chá.
# Quantidade de maneiras de gerar dois grupos de 4 xícaras usando 8.
n_poss <- choose(8, 4)
n_poss
## [1] 70
# E se fossem 12 xícaras, 6 de cada?
choose(12, 6)
## [1] 924
# De 4 xícaras selecionadas para um grupo, X representa o número de
# acertos.
n_acertar <- sapply(4:0,
FUN = function(i) {
# (formas de acertar x em 4) * (formas de errar x em 4).
choose(4, i) * choose(4, 4 - i)
})
n_acertar
## [1] 1 16 36 16 1
# Pr(Acerto total) = Pr(X = 4) = 1/70 < 5%.
cbind(X = 4:0, "Pr(X = x)" = n_acertar/n_poss)
## X Pr(X = x)
## [1,] 4 0.01428571
## [2,] 3 0.22857143
## [3,] 2 0.51428571
## [4,] 1 0.22857143
## [5,] 0 0.01428571
# Comprovando por simulação.
# Uma particular configuração das xícaras.
v <- rep(0:1, each = 4)
# Com qual frequência, ao acaso, a mesma configuração ocorre?
mean(replicate(n = 100000,
expr = all(sample(v) == v)))
## [1] 0.01427
# Essa forma de fazer é mais realista mas o resultado é o memso.
mean(replicate(n = 100000,
expr = all(sample(v) == sample(v))))
## [1] 0.01398
Teste para a diferença de médias
#-----------------------------------------------------------------------
# Exemplo com teste para a diferença de médias.
# Comprimentos de mandíbulas de cães pré-históricos.
m <- c(120, 107, 110, 116, 114, 111, 113, 117, 114, 112) # machos.
f <- c(110, 111, 107, 108, 110, 105, 107, 106, 111, 111) # fêmeas.
# Distribuição acumulada empírica.
plot(ecdf(m), xlim = range(c(m, f)), col = "cyan")
lines(ecdf(f), col = "magenta")
rug(m, col = "cyan")
rug(f, col = "magenta")
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)
# Diferença de média observada.
d <- mean(m) - mean(f)
d
## [1] 4.8
# Todos as combinações possíveis entre 20 objetos tomados 10 a 10.
choose(n = 20, k = 10)
## [1] 184756
#-----------------------------------------------------------------------
# Solução com todas as permutações possíveis (exaustão).
# Para construir todas as combinações possíveis.
k <- combn(x = 1:20, m = 10)
dim(k)
## [1] 10 184756
# Vetor com os valores dos dois grupos concatenados.
mf <- c(m, f)
# Vetor de zeros.
g <- integer(20)
# Calcula a diferença para cada uma das permutações.
D <- apply(k,
MARGIN = 2,
FUN = function(i) {
# Alguns zeros são convertidos para 1 criando 2 grupos.
g[i] <- 1L
# Cálculo da estatística de teste.
-diff(tapply(mf, g, FUN = mean))
})
# Histograma da distribuição da estatística sob H_0.
hist(D, col = "gray50")
rug(D)
abline(v = d, col = 2)
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zMM8+sXbt22rRpw4YNK7OEG0L417/+tVufWebJ+a1bt7766qvl9vzss8/KHKX+85//vOSHww8/PLb966+/jn1au1RRUdG0adN2q7wf8/zzz8e+PPXUU5977rlTTz01LS2ttLFM4t0LVcrFT6D169f/7W9/i22pU6dO7969E1UPAFVBgAeAnevTp89RMe68887St1JTU3v16nX//fd//vnnv/jFL2JHffrppxV85o5HqXXr1q1My/XXX1/uiWs33nhjYWFhbEvp1Dsuuo4ZM2bHT5g8eXK5wT4OH330UezLLl26lHm+ID8/v8zR9HuhSrn4ifL999+fe+65ZR7F79+/f5mjEwCIOgEeAHZuy5YtH8b461//uuMD5I0bN+7QoUNsS3p6esWfWablgAMOOO2002JbFi5ceMEFF8T2LCoquvnmmx966KHYbgcddFBp/jzyyCMPOeSQ2HeffvrpMll08uTJQ4YMqaC23VJmD/Y33ngj9mH4goKCq666qsze+HuhSrn41a+wsPCVV17p3Llzmds9kpKShg8fnqiqAKgidqEHgJ0744wzXnnlldKXubm5xx577KWXXnrkkUc2bNiwoKDgiy++mD59+j//+c/YUR07dox9WeZp+bfeequgoKDMnnN//OMfy9zZ/thjj73zzjunnXbaz372s5UrV86cObPMSe8hhP/+7/+uU6dOyc+1atW67LLLfv/738d2uOmmm5555plu3bolJye/8847CxYs2L3vX6EDDzwwdsu31157rUePHmeffXbDhg2XL1/+7LPPZmVlVeJ0VWfPL36Vmj9//rHHHlv6sri4+Ntvv83JySn3WISrrrqqU6dO1VAVANVJgAeAnRs0aNCtt96ak5NT2pKdnT1ixIiKR1166aWxLw877LC33nqr9OXSpUtbt27drFmzfv36jR49uqSxa9eu11133S233BI7cPny5cuXL/+xWc4888wyy+lXXnnlww8/vGzZstjGpUuXLl26tOKC49OrV68ysXbOnDlz5sypYMjeedpcpVz8qrNx48Z33nlnV3r+5Cc/2d0NFAGIBLfQA8DONWrU6Kmnntpvv/12fcjVV1/9y1/+MrblhBNOKNNn7dq1S5cu3bBhQ2zjzTfffPHFF+/iLKeccspjjz2WnPwfv9BTU1OfeuqpAw44oIKBSUlJPXv23MVZKnbllVdWvA17amrqhRdeGNvy1Vdfbdq0qVJmr1x7fvET7sgjj3zttdfq16+f6EIAqHx7168cANhr/dd//dc777xz6qmn7rRnenr6vffe+9e//rVM++DBg0866aSdDq9Vq9aECRP+8Y9/tGrVqoJu++2335gxY6ZNm7bj7vchhMzMzDfeeKPMPfyl9t9//8mTJ+96Uq1YRkbGjBkz2rVrV+67Rx555Ny5cy+66KLYxqKiorvuuqtSZq9clXLxEyU1NXXEiBFz5sxp3rx5omsBoEq4hR4AdtXhhx8+ffr0pUuXPvvss8uWLfviiy/+/e9/f/HFFykpKQceeGCrVq1at27do0ePM888s2HDhjsOT05OfuWVVyZOnPjoo49+9tlnX375ZbmbnIcQkpKSLrzwwoEDBz7zzDOvvvrq22+/vWbNmm+++aZRo0ZNmjQ55phjTj755P79+1ecHn/yk5+88847U6dOfeqpp957770vv/wyNTX14IMPPuOMM4YPH960adOnn366cq5LCB07dly2bNmDDz747LPPrlixYvXq1U2bNu3UqdO555579tln16pVq7CwsFmzZrFb2f3xj3/87W9/26JFi8qqobJUysWvHqmpqfvvv396evpRRx3VrVu33r1774XXE4BKlPRj/+kAAOzbHn744cGDB5e+PP744+fOnZvAegCAirmFHgBqqDLnwFu8BYC9nAAPAPuU//3f/z30P9199907dluzZs2kSZNiW44++ujqqhEAiIdb6AFgn/Ltt982a9Zsy5YtpS3777//v/71r9hTwVetWnXBBRfE3jCfnJz88ccfH3roodVaKwCwO2xiBwD7lIYNGw4bNuyOO+4obVm/fn2XLl169ep11FFHFRUVLVu27JVXXikoKIgdNXz4cOkdAPZyVuABYF9TUFBw+umnz549exf79+nTZ9KkSXXq1KnSqgCAPeQZeADY16Smps6YMePGG29MS0uruOf+++9/9913T5kyRXoHgL2fFXgA2Gd98803zz///BtvvJGTk/P555/n5ORs27atUaNGBx54YMl55r/61a/q1auX6DIBgF0iwAMAAEAEuIUeAAAAIkCABwAAgAgQ4AEAACACBHgAAACIAAEeAAAAIkCABwAAgAgQ4AEAACACBHgAAACIAAEeAAAAIkCABwAAgAgQ4AEAACACBHgAAACIAAEeAAAAIkCABwAAgAgQ4AEAACACBHgAAACIAAEeAAAAIkCABwAAgAgQ4AEAACACBHgAAACIAAEeAAAAIkCABwAAgAgQ4AEAACACBHgAAACIAAEeAAAAIkCABwAAgAgQ4AEAACACBHgAAACIAAEeAAAAIkCABwAAgAgQ4AEAACACBHgAAACIAAEeAAAAIkCABwAAgAgQ4AEAACACBHgAAACIAAEeAAAAIkCABwAAgAgQ4AEAACACBHgAAACIAAEeAAAAIkCABwAAgAgQ4AEAACACBHgAAACIAAEeAAAAIkCABwAAgAgQ4AEAACACBHgAAACIAAEeAAAAIkCABwAAgAgQ4AEAACACBHgAAACIAAEeAAAAIkCABwAAgAgQ4AEAACACBHgAAIAQQgjXXReuuy7RRcCPSiouLk50DQAAAHuBpKQQQhCR2FtZgQcAAIAIqJ3oAvhRM2bMmDhxYhwDN27cmJ2d/eSTT3bs2LHSqwIAACAh3EK/9+rTp89zzz0X9/BBgwY9+uijlVgPAADs49xCz97NCvze64EHHvj1r38dx8BHHnnk5ZdfPvLIIyu9JAAAABJFgN97NWvW7Jxzzolj4Pz5819++eXkZBscAAAA7DtkPAAAAIgAAR4AAAAiQIAHAACACBDgAQAAIAIEeAAAAIgAAR4AAAAiQIAHAACACBDgAQAAIAIEeAAAAIgAAR4AAAAiQIAHAACACBDgAQAAIAIEeAAAAIgAAR4AAAAioHaiCwAAKsGWLVsKCgoSWEBKSkpaWloCCwCAfZ4ADwCRt3Llyp///OebN29OYA21atWaNWtWt27dElgDAOzbBHgAiLxVq1Zt3rw5OTm5Tp06CSmgsLBw27ZtH330kQAPAFVHgAeAfcQhhxwyaNCghEz90ksvvffeewmZGgBqDpvYAQAAQAQI8AAAABABAjwAAABEgAAPAAAAESDAAwAAQAQI8AAAABABAjwAAABEgAAPAAAAESDAAwAAQAQI8AAAABABAjwAAABEgAAPAAAAESDAAwAAQAQI8AAAABABAjwAAABEgAAPAAAAESDAAwAAQAQI8AAAABABAjwAAABEgAAPAAAAESDAAwAAQAQI8AAAABABAjwAAABEgAAPAAAAESDAAwAAQAQI8AAAABABAjwAAABEgAAPAAAAESDAAwAAQAQI8AAAABABAjwAAABEgAAPAAAAESDAAwAAQAQI8AAAABABAjwAAABEgAAPAAAAESDAAwAAQAQI8AAAABABAjwAAABEgAAPAAAAEVA70QUAAOyprVu35uTkFBcXJ6qAlJSUAw88MCkpKVEFAFATCPAAQOR169btrbfeSmwNV1555V133ZXYGgDYtwnwAEDkZWVlhRD222+/hKyBFxYW5ufnl9QAAFVHgAcA9hFDhw5NTU2t/nmzs7Mfe+yx6p8XgJrGJnYAAAAQAQI8AAAARIAADwAAABEgwAMAAEAECPAAAAAQAQI8AAAARIAADwAAABHgHPid2LRpU15e3qZNmzZv3ly3bt20tLSMjIzGjRsnui4AAABqFgG+HNnZ2S+88MKMGTOWLl2am5u7Y4fmzZtnZmb26tWrT58+bdq0qf4KAQAAqGkE+P+Qk5MzcuTISZMmFRcXV9Bt9erVq1evnjlz5ogRIwYNGjR27NgWLVpUW5EAAADUQAL8DxYsWNC7d+81a9aUttSvX79p06YZGRnp6ekNGzbcuHHjunXr1q9fn5eXl5+fH0IoKip65JFHZs2aNX369MzMzMTVDgAAwD5OgN/um2++6devX0l6b9269YABA84444yuXbvWrl3OJSoqKlq4cOHLL788ZcqUrKys3Nzcvn37vv/++2lpadVeOAAAADWCXei3u//++3NyckIIAwYMyMrKGjdu3Iknnlhueg8hJCcnd+7cefTo0YsXLx4xYkQIYcWKFRMmTKjWigEAAKhJBPjtpk6dGkJo27bto48+2qBBg10cVbt27VtvvbVHjx4hhClTplRhfQAAANRsAvx22dnZIYS+ffvWqVNntwYmJSX1798/hLBixYoqqQwAAAAE+FKbN28OIcT3EPt+++0XQti0aVMl1wQAAAD/R4DfrmXLliGEBQsWxDG2ZFSrVq0quSYAAAD4PwL8dt27dw8hTJs2bdq0abs18MMPPxw/fnwIoeRJeAAAAKgKAvx2l156aXJycnFx8VlnnTVq1KiVK1fudEhubu64ceOOP/74/Pz85OTkYcOGVUOdAAAA1EzOgd+uU6dON9xww/XXX19YWDhmzJgxY8YcccQRp5xySsuWLdPT09PT0xs2bJifn79u3bp169Z99dVXs2fPXrRoUenwm2+++Zhjjklg/QAAAOzbBPgfjBo1KiMj49prr92yZUsIISsrKysra6ej6tevf/vttw8dOrTqCwQAAKDmcgv9D5KSki677LJVq1aNHDmyXbt2O+3frl27kSNHZmdnS+8AAABUNSvwZTVr1uyWW24ZO3Zsdnb2kiVLli9fnpeXl5+fX1BQkJqa2qBBgwMOOKB9+/aZmZlt27ZNSkpKdL0AAADUCAJ8+ZKSktq1a7cr6/AAAABQDdxCDwAAABFgBX4nNm3alJeXt2nTps2bN9etWzctLS0jI6Nx48aJrgsAAICaRYAvR3Z29gsvvDBjxoylS5fm5ubu2KF58+aZmZm9evXq06dPmzZtqr9CAAAAahoB/j/k5OSMHDly0qRJxcXFFXRbvXr16tWrZ86cOWLEiEGDBo0dO7ZFixbVViQAAAA1kAD/gwULFvTu3XvNmjWlLfXr12/atGlGRkZ6enrDhg03bty4bt269evXl+xLH0IoKip65JFHZs2aNX369MzMzMTVDgAAwD5OgN/um2++6devX0l6b9269YABA84444yuXbvWrl3OJSoqKlq4cOHLL788ZcqUrKys3Nzcvn37vv/++2lpadVeOAAAADWCXei3u//++3NyckIIAwYMyMrKGjdu3Iknnlhueg8hJCcnd+7cefTo0YsXLx4xYkQIYcWKFRMmTKjWigEAAKhJBPjtpk6dGkJo27bto48+2qBBg10cVbt27VtvvbVHjx4hhClTplRhfQAAANRsAvx22dnZIYS+ffvWqVNntwYmJSX1798/hLBixYoqqQwAAAAE+FKbN28OIcT3EPt+++0XQti0aVMl1wQAAAD/R4DfrmXLliGEBQsWxDG2ZFSrVq0quSYAAAD4PwL8dt27dw8hTJs2bdq0abs18MMPPxw/fnwIoeRJeAAAAKgKAvx2l156aXJycnFx8VlnnTVq1KiVK1fudEhubu64ceOOP/74/Pz85OTkYcOGVUOdAAAA1EzOgd+uU6dON9xww/XXX19YWDhmzJgxY8YcccQRp5xySsuWLdPT09PT0xs2bJifn79u3bp169Z99dVXs2fPXrRoUenwm2+++Zhjjklg/QAAAOzbBPgfjBo1KiMj49prr92yZUsIISsrKysra6ej6tevf/vttw8dOrTqCwQAAKDmcgv9D5KSki677LJVq1aNHDmyXbt2O+3frl27kSNHZmdnS+8AAABUNSvwZTVr1uyWW24ZO3Zsdnb2kiVLli9fnpeXl5+fX1BQkJqa2qBBgwMOOKB9+/aZmZlt27ZNSkpKdL0AAADUCE7DrkYAACAASURBVAJ8+ZKSktq1a7cr6/AAAABQDdxCDwAAABFgBX4nNm3alJeXt2nTps2bN9etWzctLS0jI6Nx48aJrgsAAICaRYAvR3Z29gsvvDBjxoylS5fm5ubu2KF58+aZmZm9evXq06dPmzZtqr9CAAAAahoB/j/k5OSMHDly0qRJxcXFFXRbvXr16tWrZ86cOWLEiEGDBo0dO7ZFixbVViQAAAA1kAD/gwULFvTu3XvNmjWlLfXr12/atGlGRkZ6enrDhg03bty4bt269evXl+xLH0IoKip65JFHZs2aNX369MzMzMTVDgAAwD5OgN/um2++6devX0l6b9269YABA84444yuXbvWrl3OJSoqKlq4cOHLL788ZcqUrKys3Nzcvn37vv/++2lpadVeOAAAADWCXei3u//++3NyckIIAwYMyMrKGjdu3Iknnlhueg8hJCcnd+7cefTo0YsXLx4xYkQIYcWKFRMmTKjWigEAAKhJBPjtpk6dGkJo27bto48+2qBBg10cVbt27VtvvbVHjx4hhClTplRhfQAAANRsbqHfLjs7O4TQt2/fOnXq7NbApKSk/v37z549e8WKFZVb0rx58x577LE4Bs6fPz+EUPKUPgAAAPsGAX67zZs3hxDie4h9v/32CyFs2rSpckv6y1/+8uKLL8Y9PCsrqxKLAQAAILEE+O1atmy5atWqBQsWxDG2ZFSrVq0qt6S77rqrd+/ecQycMmXKzJkzjz766MqtB2Bv9v3337/55pvbtm1LYA1t2rRp165dAgsAAPZtAvx23bt3X7Vq1bRp06ZNm3baaaft+sAPP/xw/PjxIYSSJ+Er0SGHHHLJJZfEMfCjjz6aOXPmj+3AB7BPuvHGG8eMGZPYGtLS0tauXVu3bt3ElgEA7KtkvO0uvfTShx9+uKio6Kyzzvr9738/ePDgna6i5ObmPvnkkzfeeGN+fn5ycvKwYcOqp1QAdpSXlxdCaNKkSaNGjRJSwKeffpqfn79582YBHgCoIgL8dp06dbrhhhuuv/76wsLCMWPGjBkz5ogjjjjllFNatmyZnp6enp7esGHD/Pz8devWrVu37quvvpo9e/aiRYtKh998883HHHNMAusHIIRw7LHHduzYMSFT33rrrQUFBQmZGgCoIQT4H4waNSojI+Paa6/dsmVLCCErK2tX9oGrX7/+7bffPnTo0KovEAAAgJrLOfA/SEpKuuyyy1atWjVy5Mhd2YWoXbt2I0eOzM7Olt4BAACoalbgy2rWrNktt9wyduzY7OzsJUuWLF++PC8vLz8/v6CgIDU1tUGDBgcccED79u0zMzPbtm2blJSU6HoBAACoEQT48iUlJbVr185pQAAAAOwl3EIPAAAAEWAFfic2bdqUl5e3adOmkpOB0tLSMjIyGjdunOi6AAAAqFkE+HJkZ2e/8MILM2bMWLp0aW5u7o4dmjdvnpmZ2atXrz59+rRp06b6KwQAAKCmEeD/Q05OzsiRIydNmlRcXFxBt9WrV69evXrmzJkjRowYNGjQ2LFjW7RoUW1FAgAAUAMJ8D9YsGBB796916xZU9pSv379pk2bZmRkpKenN2zYcOPGjevWrVu/fn3JvvQhhKKiokceeWTWrFnTp0/PzMxMXO0AAADs4wT47b755pt+/fqVpPfWrVsPGDDgjDPO6Nq1a+3a5VyioqKihQsXvvzyy1OmTMnKysrNze3bt+/777+flpZW7YUDAABQI9iFfrv7778/JycnhDBgwICsrKxx48adeOKJ5ab3EEJycnLnzp1Hjx69ePHiESNGhBBWrFgxYcKEaq0YAACAmkSA327q1KkhhLZt2z766KMNGjTYxVG1a9e+9dZbe/ToEUKYMmVKFdYHAABAzSbAb5ednR1C6Nu3b506dXZrYFJSUv/+/UMIK1asqJLKAAAAQIAvtXnz5hBCfA+x77fffiGETZs2VXJNAAAA8H8E+O1atmwZQliwYEEcY0tGtWrVqpJrAgAAgP8jwG/XvXv3EMK0adOmTZu2WwM//PDD8ePHhxBKnoQHAACAqiDAb3fppZcmJycXFxefddZZo0aNWrly5U6H5Obmjhs37vjjj8/Pz09OTh42bFg11AkAAEDN5Bz47Tp16nTDDTdcf/31hYWFY8aMGTNmzBFHHHHKKae0bNkyPT09PT29YcOG+fn569atW7du3VdffTV79uxFixaVDr/55puPOeaYBNYPAADAvk2A/8GoUaMyMjKuvfbaLVu2hBCysrKysrJ2Oqp+/fq333770KFDq75AAAAAai630P8gKSnpsssuW7Vq1ciRI9u1a7fT/u3atRs5cmR2drb0DgAAQFWzAl9Ws2bNbrnllrFjx2ZnZy9ZsmT58uV5eXn5+fkFBQWpqakNGjQ44IAD2rdvn5mZ2bZt26SkpETXCwAAQI0gwJcvKSmpXbt2u7IODwAAANXALfQAAAAQAVbgy7dq1aqsrKytW7f+5Cc/adeuXa1atSro/Mknn+Tn54cQjjrqqOoqEAAAgJpFgC/rzTffvOaaa955553SlkMPPfT6668fOHBgcnL5NyxcfPHFc+bMCSEUFxdXU5UAAADUMG6h/w+PP/54t27dYtN7COGTTz75zW9+M2TIkG3btiWqMAAAAGo4K/A/+OCDDy688MKSlN60adPjjjuuefPmixYtevvtt0MIEydODCH84x//SHCVAAAA1EhW4H/wxz/+sbCwMIQwePDglStXPvPMM/fdd9/8+fNnz56dkZERQpg4ceKLL76Y6DIBAACoiQT47fLy8qZNmxZC6Nq169///ve0tLTSt7p37/7aa6+lpqaGEC655JJvv/02YVUCAABQUwnw25U+9z5q1KgdN6v72c9+Nnbs2BDC6tWrb7/99uouDgAAgBpPgN9u9erVJT8cc8wx5Xa4/PLL27dvH0L461//umbNmuqrDAAAAAT4Ug0bNiz54cfOiktJSRk3blwIIT8//6abbqq+ygAAAECAL3XYYYeV/LB06dIf69O7d+8ePXqEEO67776FCxdWU2UAAAAgwJc69NBDS364+eabi4qKyu2TlJQ0YcKEevXqFRUVDR482G52AAAAVBsBfrtGjRqdcMIJIYRZs2ZdcMEFX3zxRbnd2rVr9+c//zmEsGTJkr59+27YsKFaqwQAAKCmEuB/8Oc//7lWrVohhMcff/zQQw89+eSThw8fvmzZsjLdrrzyyp49e4YQZs6cmZmZecstt3z99dcJKBcAAICaRID/wfHHH/+Pf/wjJSUlhFBQUDBr1qy77rrr/fffL9OtVq1azz//fN++fUMIubm5f/jDH5YsWZKAcgEAAKhJBPj/cMEFFyxcuHDAgAGpqakVdKtbt+7kyZNvuummpk2bVlttAAAA1GS1E13AXufnP//5pEmTvvvuu0WLFuXm5h511FHldqtVq9aoUaNGjBjx9NNPv/3229nZ2dnZ2dVcKgAAADWHAF++unXrHnvssbvSbeDAgQMHDqyGkgAAAKjJ3EIPAAAAESDAAwAAQAQI8AAAABABAjwAAABEgAAPAAAAESDAAwAAQAQI8AAAABABAjwAAABEgAAPAAAAESDAAwAAQAQI8AAAABABAjwAAABEgAAPAAAAESDAAwAAQAQI8AAAABABAjwAAABEgAAPAAAAESDAAwAAQAQI8AAAABABAjwAAABEgAAPAAAAESDAAwAAQAQI8AAAABABAjwAAABEgAAPAAAAESDAAwAAQAQI8AAAABABAjwAAABEgAAPAAAAESDAAwAAQAQI8AAAABABAjwAAABEgAAPAAAAESDAAwAAQAQI8AAAABABAjwAAABEgAAPAAAAESDAAwAAQAQI8AAAABABAjwAAABEgAAPAAAAESDAAwAAQAQI8AAAABABAjwAAABEgAAPAAAAESDAAwAAQATUTnQBAEDkbd68OYTw4IMPzpo1KyEFbNq0KSHzAkB1EuABgD21du3aEMJ777333nvvJboWANhnCfAAwJ4qLi4OIXTs2LFt27YJKWDKlCkJmRcAqpMADwBUjhYtWnTo0CEhUyclJZX8EQEA9mE2sQMAAIAIEOABAAAgAgR4AAAAiAABHgAAACJAgAcAAIAIEOABAAAgAgR4AAAAiAABHgAAACJAgAcAAIAIEOABAAAgAgR4AAAAiAABHgAAACKgdqILAABgj0yePPmKK67YunVrAms48sgjZ8+enZSUlMAaAPZ5cQb4Tz/99JBDDqnUSgAAiMesWbPy8vISW8Prr7/+zTff7L///oktA2DfFmeAb9OmTbdu3QYNGnT22Wc3bty4cmsCAGB39ezZ86ijjkrI1HfeeWdBQUFCpgaoUeK/hX7OnDlz5sy5/PLLf/WrXw0aNKhnz54pKSmVWBkAREhRUVEI4c4776xXr171z/7JJ59U/6TsbVJSUlJTUxNdBQBVKM4Af+KJJ77xxhshhO+++27y5MmTJ09u0qTJeeedN2jQoE6dOnn8CYCaprCwMIQwevToRBcCAOyz4gzwc+bMycnJmTRp0hNPPPHBBx+EENauXXv33Xfffffd7du3HzRo0MCBAz0kD0BN06VLl9q1E7BB7BdffPHpp59W/7wAQHWK/z8yWrduPWLEiBEjRmRlZT355JNPPPHEypUrQwgff/zxqFGjRo0a5SF5AGqak046KSH3ML/55psCPADs8yrhHPgjjjjixhtvXLFixTvvvDN8+PDmzZuXtM+ZM+fiiy9u1qzZgAEDXnrppZJ7CwEAAIA4VNptfklJSZ07d+7cufNtt932+uuvP/HEE1OnTt2wYYOH5OP2wQcfPPXUU8XFxbs7cN68eSEEm8ECAADsSyr/Ob1atWp17969QYMGDRo0uO+++7Zt21bSXvqQ/E9/+tPrr7/+7LPPTk6uhPX/fdj//M//vPTSS3EPX7x4cSUWAwAAQGJVZoDftm3bvHnzpk6d+swzz3zxxRexbx144IEpKSmrVq0KISxdunTAgAG//vWvH374YSfPVeDWW289/vjj4xj40ksvzZs3L1EnwQIAAFAVKiHAFxYWvv7661OnTn322WfXrFkT+1br1q3PPvvsc845p0uXLiGEuXPnTpw48fHHHy8qKnriiSc6dux49dVX73kB+6oOHTp06NAhjoFfffXVvHnz6tSpU+klAQAAkCjxB/iCgoKZM2dOnTr1+eefX79+fexbBx10UGluj33cvVu3bt26dbviiitOOumkzZs3T5gwQYAHAACAXRFngP/1r3/90ksvffvtt7GNBx98cElu79y5cwXb1P2///f/unfv/vLLL+fm5sY3OwAAANQ0cQb4J598svTnNm3alOT2Xd9evuTubg9pAwAAwC6K/xb6tm3bluT2jh077u6xcP/93/992WWXtWjRIu7ZAQAAoEaJM8C/9957Rx99dNzHuXfq1Cm+gQAAAFAzxXkS+zHHHBOb3rdu3Vqmw8qVK4uLi+OvCwAAAIgRZ4Av8e233/7lL3/p2bNn+/bty7x16KGHtmnT5uqrr968efOeTAEAAACEPXkGPisrq2fPnjk5OSGEZs2a7djhs88+u+OOO1555ZVnnnlmx4QPAAAA7Lo4V+C3bdvWv3//kvReu3btrl27lulQukfdsmXLBg0aVFRUtIeFAgAAQE0WZ4B/9NFHlyxZEkLo1q3b559//swzz5TpcO+9965cufKCCy4IISxYsOCf//znHhYKAAAANVmcAX7KlCkhhIyMjOeee+7HToOrV6/ehAkT2rZtG0J47rnn4i4RAAAAiDPAr1ixIoTQr1+//fbbr4JuderUOfPMM0MIH330UXwTAQAAACHuAP/555+HEA466KCd9mzevHkIITs7O76JAAAAgBB3gG/cuHEIYfny5TvtWbL23rBhw/gmAgAAAELcAb5Dhw4hhDfeeKOgoKCCbgUFBXPmzAkhOEYOAAAA9kScAb5fv34hhE8//XTIkCHFxcXl9ikuLr7qqqtWrVoVQih5Eh4AAACIT5wBfsiQIYccckgI4fHHH+/cufPTTz+9efPm0ne///77V1999cQTT3zwwQdDCE2bNh02bFhlVAsAAAA1VO34hqWmpj733HPdunXbsGHDwoULzznnnBDCAQcc0KJFi3Xr1n3xxRely/J16tR56qmnPAMPAAAAeyLOFfgQwpFHHvnuu+926dKltCUvL2/x4sW5ubml6b1du3avv/76SSedtIdVAgAAQA0X5wp8icMPP3z+/PmvvfbaU0899dZbb+Xk5GzYsKF+/frNmjXr0qXLWWed1bdv35SUlMqqFQAAAGqsPQrwIYSkpKQePXr06NGj5GVxcXFSUtIeVwUAAAD8h/hvoS+X9A4AAABVoZIDPAAAAFAV9ugW+pycnNmzZ3/44Yfff//9Tjvfc889ezIXAAAA1GTxB/jJkydfdNFF+fn5u9hfgAcAAIC4xRngP/nkk4EDB27durVyqwEAAADKFWeAHzNmTEl679y58+jRozMzM1NTUyu1MAAAAOAHcQb4hQsXhhDatWs3Z84c0R0AAACqWpy70K9cuTKEMGTIEOkdAAAAqkGcAb5+/fohhIMPPrhSiwEAAADKF2eAb9++fQghKyurUosBAAAAyhdngL/gggtCCC+++GJhYWGl1gMAAACUI84AP3jw4JNOOmnRokVXX311UVFR5dYEAAAAlBFngE9JSZk6dWrPnj3vueeezp07v/jii1999VVxcXHlFgcAAACUiPMYud69e4cQkpOTU1JS3nvvvTPPPDOEkJaW1rhx4x8bkpubG99cAAAAQJwB/uWXX96xMT8/Pz8/f8/qAQAAAMoRZ4A/7rjjKrcOAAAAoAJxBvh58+ZVbh0AAABABeLcxA4AAACoTgI8AAAARECct9CX8e9//3vx4sUbN27csGHDkCFDQghFRUXJyf46AAAAAJVjjzJ2cXHxP//5z5/85CetWrXq1avXgAEDLrnkkpK3xo4d27dv32nTplVGkQAAAFDTxR/gCwsLzzrrrPPPP//jjz8u991nn3329NNPv+aaa4qKivagQgAAAGAPAvzw4cNfeOGFEEJycnKvXr0GDhwY++4hhxxSq1atEMLtt99+zTXX7GGVAAAAUMPFGeCXLFly//33hxBatWo1d+7cadOmXXzxxbEdfvvb33700UdHHHFECOGee+7Jzs7e81oBAACgxoozwN93330lPzz22GNdu3Ytt8+hhx766quv1q1bd+vWrXfccUecBQIAAABxB/j58+eHEE466aTu3btX0K1Vq1Z9+/YNIXzwwQfxTQQAAACEuI+R+/TTT0MInTp12mnPDh06hBCWL18e30QAAHu5bdu2hRCysrKGDh2akALmzp2bkHkBqGZxBvjvvvsuhJCamrqLPTdu3BjfRAAAe7m1a9eGEL744osJEyYkuhYA9mVxBvjmzZuvWrVq6dKlO+35v//7vyGEZs2axTcRAMBeruTE3CZNmhx77LEJKeD111/Pz89PyNQAVKc4A3y3bt1WrVo1ffr0VatWtWnT5se6ZWVlzZgxI4TwYxvdAQDsGxo1atSxY8eETP32228L8AA1QZyb2P32t78NIRQUFFxwwQVff/11uX0+++yz888/v+QW+vPOOy/eCgEAAIA9WIHv37//5MmT586de9RRR1111VX16tUreWvFihVZWVlvvfXWXXfdtWXLlhDCSSed1Lt370orGQAAAGqeOAN8COGhhx7Ky8t77bXXcnNzf//735e2H3744bHdOnToMHny5KSkpPhrBAAAgBovzlvoQwj169f/17/+NXbs2CZNmpTboV69esOHD3/33XcPOOCAuGcBAAAAwp6swIcQateufd111w0fPnzWrFlvvvnm559/vmHDhgYNGjRv3vzYY4895ZRTMjIyKqtQAAAAqMn2KMCXqFevXu/evT3lDgAAAFUn/lvoAQAAgGojwAMAAEAExHkL/T333LO7Q6644or45gIAAADiDPBXXnnl7g4R4AEAACBulbCJXcXq1KnjEHgAAADYQ3EG+Llz5/7YWxs2bPjkk08WLFgwadKkbdu2XXTRRXfddVft2lX+lwIAAADYh8WZq48//vid9rn++ut//etf33///YWFhQ8++GB8EwEAAAChSm+hP/zww5999tmjjz7673//e58+fU477bSqmwuA2bNnv/rqq8XFxYkqICUl5bzzzuvQoUOiCgAA2LdV7Z3trVu3Pvfcc++9997x48cL8ABVauDAgatXr05sDYsWLXrppZcSWwMAwL6qyh9N79SpUwjhvffeq+qJAGq47777LoTQrVu3lJSU6p993bp177//fkkNAABUhSoP8Fu2bAkh5OXlVfVEAIQQjj322NTU1OqfNzs7+/3336/+eQEAao7kqp5g2rRpIYQDDzywqicCAACAfVgVrsBv27Zt3LhxJQ9Dtm/fvuomAgAAgH1enAH+5JNPrrjDd999l5WV9fXXX5e8vOyyy+KbKOE2bdqUl5e3adOmzZs3161bNy0tLSMjo3HjxomuCwAAgJolzgA/a9asXe88YMCA008/Pb6JEiI7O/uFF16YMWPG0qVLc3Nzd+zQvHnzzMzMXr169enTp02bNtVfIQAAADVNnAE+IyNjp33q1KmTmZnZp0+fYcOGJSUlxTdRNcvJyRk5cuSkSZMqPkh59erVq1evnjlz5ogRIwYNGjR27NgWLVpUW5EAAADUQHEG+LVr11ZuHXuDBQsW9O7de82aNaUt9evXb9q0aUZGRnp6esOGDTdu3Lhu3br169fn5eXl5+eHEIqKih555JFZs2ZNnz49MzMzcbUDAACwj6vyY+Si4ptvvunXr19Jem/duvWAAQPOOOOMrl271q5dziUqKipauHDhyy+/PGXKlKysrNzc3L59+77//vtpaWnVXjgAAAA1QpUfIxcV999/f05OTghhwIABWVlZ48aNO/HEE8tN7yGE5OTkzp07jx49evHixSNGjAghrFixYsKECdVaMQAAADWJAL/d1KlTQwht/z979x/fVH3vcfxzQiilP2hNgJYWdiFhsGrwOkCGwBVhimMrVyhIN5FNmK5Q3WUysM4VRKS37bqh183x486rwN1EK/qQSYuzdN5N/EGh5aeBlqa4Bm0ppKUkpVCa3D+C1WGhbUhyeprX869D8v32vElzkrx7fsRk2rx5c2RkZCdn6fX63NzcqVOnikh+fn4A8wEAAAAAQpuPh9B/4xvf8Mvqjx496pefc/1sNpuIpKSkhIWFdWmioihz584tLi6uqKgITDQAAAAAAHwt8MeOHfNvDtU1NTWJiG8nscfGxoqIy+XycyYAAAAAAD7nY4HPyMgQkXfeeae0tLTtxoiIiMGDB9fU1DQ2NrbdGBcXFx8ff50pgyAhIaGqqqqkpMSHud5ZiYmJ/g4FAAAAAMBlPp4Dn5OTM2rUqP3794vI4MGDn3vuuZqaGqfTeezYsYaGhrq6uhdffNFkMonIhQsXnnvuuf1X4c//yvWZMmWKiBQUFBQUFHRp4oEDBzZs2CAi3jPhAQAAAAAIBB8LfFVVVVpamtvtnjhxYkVFxU9/+tO4uDhFUUREUZT+/fs/8MADR48evfPOOxsaGmbNmvXpp5/6Nbb/LV68WKfTeTyemTNnZmZmVlZWdjjFbrfn5eVNmjTJ6XTqdLpFixYFIScAAAAAIDT5eAj97373O5fLdcMNN7zxxhvh4eHtjundu/crr7wycuTI06dPP/vss7/61a+uI2fAjR07dtWqVStXrmxpacnKysrKykpKSpo2bVpCQoLBYDAYDNHR0U6n0+FwOByO2tra4uLisrKytulr1qwZPXq0ivkBAAAAAD2bjwV+x44dInL77bcPGDDgGsMMBsPkyZO3bdv25z//uZsXeBHJzMw0Go3Lli07f/68iFitVqvV2uGsiIiItWvXpqWlBT4gAAAAACB0+XgI/T/+8Q8RufHGGzsc6R1TXV3t24qCSVGU9PT0qqqqjIwMs9nc4Xiz2ZyRkWGz2WjvAAAAAIBA83EPfO/evc+fP9+Zb3HvzE7sbiUuLi4nJyc7O9tmsx0+fLi8vLyurs7pdDY3N4eHh0dGRg4YMGDkyJEWi8VkMnlP+wcAAAAAINB8LPBDhw49ePDge++9d+7cuejo6KsNO3fu3N///ncRGTJkiI8BVaIoitls7sx+eAAAAAAAgsDHQ+iTk5NFpK6ubsGCBR6Pp90xHo/nxz/+cW1trYh8+9vf9jkiAAAAAADwscD/9Kc/9e5437Zt29SpUz/44IMrBnz44Yff/va38/PzRaRXr14PP/zwdQZVi8vlOnHixJEjR0pKSg4ePGiz2c6ePat2KAAAAABAyPHxEPr4+PiXXnrp3nvvdbvd77777oQJExITE7/+9a8nJCR8+umnx48ft9vtbYOffvrppKQkPwUOBpvNtn379p07dx45cuTL/5E28fHxFotl+vTps2bNGjZsWPATAgAAAABCjY8FXkRSUlJ27NixYMGCmpoaETl58uTJkyevGBMWFpaTk/Ozn/3sujIGUXV1dUZGxtatW692XoBXTU1NTU1NUVHR8uXL58+fn52dPWjQoKCFBAAAAACEIN8LvIh85zvfKS8v37JlyyuvvFJSUuL9+nSvG2+88Xvf+156evrQoUOvN2OwlJSUJCcnnzp1qu2WiIiIgQMHGo1Gg8EQHR3d2NjocDjq6+u916UXEbfbvWnTpl27dhUWFlosFvWyAwAAAAB6uOsq8CISHR2dnp6enp5+6dKl06dPNzQ09O3bt3///pGRkX7JFzQNDQ2zZ8/2tvchQ4akpqbOmDFjwoQJen07D5Hb7d67d++OHTvy8/OtVqvdbk9JSSktLY2Kigp6cAAAAABASLjeAv/FD9Lr4+Pj4+Pj/fUDg2zdunXV1dUikpqa+sILL1z7DxA6nW7cuHHjxo1bsWLFE088kZeXQ0ZUzgAAIABJREFUV1FRsXHjxqVLlwYrLwB0R42Njfv27VNl1adPn1ZlvQAAAEHjnwL/6aefHjx4sLGx8ezZsw899JCIuN1unc7HS9yrYtu2bSJiMpk2b94cFhbWyVl6vT43N3ffvn3FxcX5+fkUeAAhq6GhQUT27NkzduxYtbMAAAD0TNdV4D0ez5/+9Kenn3762LFjbTd6C3x2dva+ffsefPDB7373u9ebMShsNpuIpKSkdL69eymKMnfu3OLi4oqKisBEAwAN8F4GpU+fPgaDQZUAdXV1ly5dUmXVAAAAweF7gW9paZkzZ8727duvdu8bb7zxxhtvLF26NC8vr/vvjW9qahIR305ij42NFRGXy+XnTACgNYmJifPnz1dl1c8//zxH0QMAgJ7N9169ZMkSb3vX6XTTp0+fN2/el+8dOnRor169RGTt2rU///nPrzNlECQkJIhISUmJD3O9sxITE/2cCQAAAACAz/lY4A8fPrxu3ToRSUxM/Pvf/15QUPDggw9+ecADDzxw9OjRpKQkEfnd737nPUC9O5syZYqIFBQUFBQUdGnigQMHNmzYICJTp04NSDIAAAAAAHwu8L///e+9C1u2bJkwYUK7Y4YPH/7OO+/06dPn0qVLzzzzjI8Bg2Xx4sU6nc7j8cycOTMzM7OysrLDKXa7PS8vb9KkSU6nU6fTLVq0KAg5AQAAAAChycdz4D/44AMRueOOO7w7rq8mMTExJSXl5Zdf3r9/v28rCpqxY8euWrVq5cqVLS0tWVlZWVlZSUlJ06ZNS0hIMBgMBoMhOjra6XQ6HA6Hw1FbW1tcXFxWVtY2fc2aNaNHj1YxPwAAAACgZ/OxwJ84cUJEOvNdQTfeeKOIlJeX+7aiYMrMzDQajcuWLfNeS9lqtVqt1g5nRURErF27Ni0tLfABAQAAAAChy8dD6C9cuCAi4eHhnRzZ2Njo24qCSVGU9PT0qqqqjIwMs9nc4Xiz2ZyRkWGz2WjvAAAAAIBA83EPfHx8fFVV1ZEjRzoceejQIRGJi4vzbUXBFxcXl5OTk52dbbPZDh8+XF5eXldX53Q6m5ubw8PDIyMjBwwYMHLkSIvFYjKZFEVROy8AAAAAICT4WOAnT55cVVVVWFhYVVU1bNiwqw2zWq07d+4Ukatd6K7bUhTFbDZ3Zj88AAAAAABB4OMh9A888ICINDc3/+hHPzpz5ky7Yz755JP777/fewj9D37wA18TAgAAAACA69gDP3fu3FdfffXvf//7Lbfc8h//8R99+/b13lVRUWG1Wt9///3nnnvOezW4O+64Izk52W+Rg8vlctXV1blcrqampj59+kRFRRmNxpiYGLVzAQAAAABCi48FXkRefPHFurq6v/71r3a7/bHHHmu7fcSIEV8eduONN7766qvaOlfcZrNt3759586dR44csdvtXx0QHx9vsVimT58+a9asa5xBAAAAAACAv/h4CL2IRERE/OUvf8nOzu7fv3+7A/r27btkyZI9e/YMGDDA57UEWXV19X333Td8+PBHH3307bffbre9i0hNTU1RUdHPf/7z4cOHP/DAA5999lmQcwIAAAAAQo3ve+BFRK/XP/7440uWLNm1a9fu3bv/8Y9/nD17NjIyMj4+fvz48dOmTTMajf4KGgQlJSXJycmnTp1quyUiImLgwIFGo9FgMERHRzc2Njocjvr6eu916UXE7XZv2rRp165dhYWFFotFvewAAAAAgB7uugq8V9++fZOTk7V7lrtXQ0PD7Nmzve19yJAhqampM2bMmDBhgl7fzkPkdrv37t27Y8eO/Px8q9Vqt9tTUlJKS0ujoqKCHhwAAAAAEBJ8PIS+qKioqKjoo48+8m8aFa1bt666ulpEUlNTrVZrXl7e7bff3m57FxGdTjdu3Linnnrq4MGDy5cvF5GKioqNGzcGNTEAAAAAIJT4uAf+rrvuEpEhQ4b84x//8Gse1Wzbtk1ETCbT5s2bw8LCOjlLr9fn5ubu27evuLg4Pz9/6dKlfoxUUVHxxhtveDyerk4sKSkRkYsXL/oxDAAAAABAXT4W+MGDB9vtdrvdfuHChT59+vg3kypsNpuIpKSkdL69eymKMnfu3OLi4oqKCv9GWrp06VtvveXz9P379/sxDAAAAABAXT4W+Hnz5uXm5no8npKSkkmTJvk3kyqamppExLeT2GNjY0XE5XL5N9LKlStvuukmHyYWFxeXlJSMGjXKv3kAAAAAACryscBnZmb+3//934cffpiRkVFcXNwDdsInJCRUVVV5Dz7vKu+sxMRE/0a69dZbb731Vh8mLl26tKSkpG/fvv7NAwAAAABQkY8XsYuKitq5c+e99977/vvvWyyWzZs319bWut1u/4YLpilTpohIQUFBQUFBlyYeOHBgw4YNIjJ16tSAJAMAAAAAwOc98HPmzBERj8cTGxt7/PjxH/3oRyKi1+sHDBig07X/RwG73e5zyiBYvHjxSy+95Ha7Z86c+dhjjy1YsMBsNl97it1uf/nll1evXu10OnU63aJFi4ITFQAAAAAQgnws8N5rtl/h0qVLn3322fXlUc3YsWNXrVq1cuXKlpaWrKysrKyspKSkadOmJSQkGAwGg8EQHR3tdDodDofD4aitrS0uLi4rK2ubvmbNmtGjR6uYHwAAAADQs/lY4CdOnOjfHN1BZmam0WhctmzZ+fPnRcRqtVqt1g5nRURErF27Ni0tLfABAQAAAAChy8cC/9577/k3R3egKEp6evrs2bOfeeaZ1157rbKy8trjzWbznDlzHn300bi4uOAkBAAAAACELB8LfA8WFxeXk5OTnZ1ts9kOHz5cXl5eV1fndDqbm5vDw8MjIyMHDBgwcuRIi8ViMpkURVE7LwAAAAAgJHSqwD/++OMictttt91zzz0BztNdKIpiNps7vI4dAAAAAADB0akCn5ubKyIPP/xw6BR4AAAAAAC6FT8cQq/X60XkJz/5ye9///vr/2ndjcvlqqurc7lcTU1Nffr0iYqKMhqNMTExaucCAAAAAIQWPxT41tZWEXG73df/o7oJm822ffv2nTt3HjlypN2vr4+Pj7dYLNOnT581a9awYcOCnxAAAAAAEGq4iN0/qa6uzsjI2Lp1q8fjucawmpqampqaoqKi5cuXz58/Pzs7e9CgQUELCQAAAAAIQRT4L5SUlCQnJ586dartloiIiIEDBxqNRoPBEB0d3djY6HA46uvrvdelFxG3271p06Zdu3YVFhZaLBb1sgMAAAAAejgK/GUNDQ2zZ8/2tvchQ4akpqbOmDFjwoQJ3jP8r+B2u/fu3btjx478/Hyr1Wq321NSUkpLS6OiooIeHAAAAAAQEnRqB+gu1q1bV11dLSKpqalWqzUvL+/2229vt72LiE6nGzdu3FNPPXXw4MHly5eLSEVFxcaNG4OaGAAAAAAQSijwl23btk1ETCbT5s2bIyMjOzlLr9fn5uZOnTpVRPLz8wOYDwAAAAAQ2ijwl9lsNhFJSUkJCwvr0kRFUebOnSsiFRUVAUkGAAAAAAAFvk1TU5OI+HYSe2xsrIi4XC4/ZwIAAAAA4HMU+MsSEhJEpKSkxIe53lmJiYl+zgQAAAAAwOco8JdNmTJFRAoKCgoKCro08cCBAxs2bBAR75nwAAAAAAAEQhe+Rm7Lli07d+682r1/+tOfioqKrjH9+PHjXcgVdIsXL37ppZfcbvfMmTMfe+yxBQsWmM3ma0+x2+0vv/zy6tWrnU6nTqdbtGhRcKICAAAAAEJQFwp8Y2NjY2Pj1e49d+7cuXPn/BFJHWPHjl21atXKlStbWlqysrKysrKSkpKmTZuWkJBgMBgMBkN0dLTT6XQ4HA6Ho7a2tri4uKysrG36mjVrRo8erWJ+AAAAAEDP1oUC3+NlZmYajcZly5adP39eRKxWq9Vq7XBWRETE2rVr09LSAh8QAAAAABC6OlXgq6qqAp2jO1AUJT09ffbs2c8888xrr71WWVl57fFms3nOnDmPPvpoXFxccBICAAAAAEJWpwr80KFDAxyjG4mLi8vJycnOzrbZbIcPHy4vL6+rq3M6nc3NzeHh4ZGRkQMGDBg5cqTFYjGZTIqiqJ0XAAAAABASOIS+fYqimM3mDq9jBwAAAABAcPA1cgAAAAAAaAAFHgAAAAAADaDAAwAAAACgARR4AAAAAAA0gAIPAAAAAIAGUOABAAAAANAAvkbuMpfLVV9ff50/ZPDgwX4JAwAAAADAFSjwl73xxhvz58+/zh/i8Xj8EgYAAAAAgCtwCP1lsbGxvXr1UjsFAAAAAADtYw/8ZcnJyZ9++un//u//rlixoqmpyXvjlClTwsLC1A0GAAAAAIBQ4L9s4MCBS5cuvfPOO8eNG3fhwgURefXVV/v37692LgAAAAAAOIT+K26++eb77rtP7RQAAAAAAPwTCnw75syZo3YEAAAAAAD+CQW+HRaLRe0IAAAAAAD8E86Bb8eQIUOmT59+8eLF3r17q50FAAAAAAARCny7FEUpKChQOwUAAAAAAF/gEHoAAAAAADSAAg8AAAAAgAZQ4AEAAAAA0AAKPAAAAAAAGkCBBwAAAABAAyjwAAAAAABoAAUeAAAAAAANoMADAAAAAKABFHgAAAAAADSAAg8AAAAAgAZQ4AEAAAAA0AC92gEAAACA61JWVnbmzBkVA0RERNx2222KoqiYAUAooMADAABAww4cODBmzBiPx6NujNdff33WrFnqZgDQ41HgAQAAcF0uXbokIlOnTu3Vq1fw197Y2OjxePr27Tto0KDgr11E6urqzp07d+rUKVXWDiCkUOABAABwXVpbW0Vk//79KmYYNGjQ/PnzVVn1W2+9tW/fPlVWDSDUUOABAADgBz/60Y/69OkT/PUeOHDgo48+Cv56ASD4KPAAAADwg/j4+PDw8OCv12azBX+lAKAKvkYOAAAAAAANoMADAAAAAKABFHgAAAAAADSAAg8AAAAAgAZQ4AEAAAAA0AAKPAAAAAAAGkCBBwAAAABAAyjwAAAAAABoAAUeAAAAAAANoMADAAAAAKABFHgAAAAAADSAAg8AAAAAgAZQ4AEAAAAA0AAKPAAAAAAAGkCBBwAAAABAAyjwAAAAAABoAAUeAAAAAAANoMADAAAAAKABFHgAAAAAADSAAg8AAAAAgAZQ4AEAAAAA0AC92gG6O5fLVVdX53K5mpqa+vTpExUVZTQaY2Ji1M4FAAAAAAgtFPh22Gy27du379y588iRI3a7/asD4uPjLRbL9OnTZ82aNWzYsOAnBAAAAACEGgr8P6murs7IyNi6davH47nGsJqampqamqKiouXLl8+fPz87O3vQoEFBCwkAAAAACEEU+C+UlJQkJyefOnWq7ZaIiIiBAwcajUaDwRAdHd3Y2OhwOOrr6+vq6pxOp4i43e5Nmzbt2rWrsLDQYrGolx0AAAAA0MNR4C9raGiYPXu2t70PGTIkNTV1xowZEyZM0OvbeYjcbvfevXt37NiRn59vtVrtdntKSkppaWlUVFTQgwMAAAAAQgJXob9s3bp11dXVIpKammq1WvPy8m6//fZ227uI6HS6cePGPfXUUwcPHly+fLmIVFRUbNy4MaiJAQAAAAChhAJ/2bZt20TEZDJt3rw5MjKyk7P0en1ubu7UqVNFJD8/P4D5AAAAAAChjQJ/mc1mE5GUlJSwsLAuTVQUZe7cuSJSUVERkGQAAAAAAFDg2zQ1NYmIbyexx8bGiojL5fJzJgAAAAAAPkeBvywhIUFESkpKfJjrnZWYmOjnTAAAAAAAfI4Cf9mUKVNEpKCgoKCgoEsTDxw4sGHDBhHxngkPAAAAAEAgUOAvW7x4sU6n83g8M2fOzMzMrKys7HCK3W7Py8ubNGmS0+nU6XSLFi0KQk4AAAAAQGjie+AvGzt27KpVq1auXNnS0pKVlZWVlZWUlDRt2rSEhASDwWAwGKKjo51Op8PhcDgctbW1xcXFZWVlbdPXrFkzevRoFfMDAAAAAHo2CvwXMjMzjUbjsmXLzp8/LyJWq9VqtXY4KyIiYu3atWlpaYEPCAAAAAAIXRxC/wVFUdLT06uqqjIyMsxmc4fjzWZzRkaGzWajvQMAAAAAAo098FeKi4vLycnJzs622WyHDx8uLy+vq6tzOp3Nzc3h4eGRkZEDBgwYOXKkxWIxmUyKoqidFwAAAAAQEijw7VMUxWw2d2Y/PAAAAAAAQcAh9AAAAAAAaAB74Dvgcrnq6upcLldTU1OfPn2ioqKMRmNMTIzauQAAAAAAoYUC3w6bzbZ9+/adO3ceOXLEbrd/dUB8fLzFYpk+ffqsWbOGDRsW/IQAAAAAgFBDgf8n1dXVGRkZW7du9Xg81xhWU1NTU1NTVFS0fPny+fPnZ2dnDxo0KGghAQAAAAAhiAL/hZKSkuTk5FOnTrXdEhERMXDgQKPRaDAYoqOjGxsbHQ5HfX2997r0IuJ2uzdt2rRr167CwkKLxaJedgAAAABAD0eBv6yhoWH27Nne9j5kyJDU1NQZM2ZMmDBBr2/nIXK73Xv37t2xY0d+fr7VarXb7SkpKaWlpVFRUUEPDqC7uHjx4u7du1tbW9UK0NLSotaqAQAAEAQU+MvWrVtXXV0tIqmpqS+88EJkZOQ1But0unHjxo0bN27FihVPPPFEXl5eRUXFxo0bly5dGqy8ALqd1atXZ2VlqZ0CAAAAPRYF/rJt27aJiMlk2rx5c1hYWCdn6fX63Nzcffv2FRcX5+fnU+CBUFZXVyci/fv379evnyoBbDabKusFAABAcFDgL/N+8E1JSel8e/dSFGXu3LnFxcUVFRWBiQZAS8aPHz9mzBhVVr169eprX4ATAAAAmqZTO0B30dTUJCK+ncQeGxsrIi6Xy8+ZAAAAAAD4HAX+soSEBBEpKSnxYa53VmJiop8zAQAAAADwOQr8ZVOmTBGRgoKCgoKCLk08cODAhg0bRGTq1KkBSQYAAAAAAAW+zeLFi3U6ncfjmTlzZmZmZmVlZYdT7HZ7Xl7epEmTnE6nTqdbtGhREHICAAAAAEITF7G7bOzYsatWrVq5cmVLS0tWVlZWVlZSUtK0adMSEhIMBoPBYIiOjnY6nQ6Hw+Fw1NbWFhcXl5WVtU1fs2bN6NGjVcwPAAAAAOjZKPBfyMzMNBqNy5YtO3/+vIhYrVar1drhrIiIiLVr16alpQU+IIBrqa6uHj169OnTp9UOAgAAAAQEh9B/QVGU9PT0qqqqjIwMs9nc4Xiz2ZyRkWGz2WjvQHdw7Ngx2jsAAAB6MPbAXykuLi4nJyc7O9tmsx0+fLi8vLyurs7pdDY3N4eHh0dGRg4YMGDkyJEWi8VkMimKErgkdru9sLDQh291PnTokIi0trYGIBTQ3ZlMpvnz56uy6ueff56/IAAAACBwKPDtUxTFbDZ3Zj984Dz88MPbt2/3eXppaakfwwAAAAAA1EWB774effTR+Ph4HyZ+8MEHhw4d+sY3vuH3SAAAAAAAtVDgO+Byuerq6lwuV1NTU58+faKiooxGY0xMTBBWfccdd9xxxx0+TFy6dOmhQ4eio6P9nQgAAAAAoBoKfDtsNtv27dt37tx55MgRu93+1QHx8fEWi2X69OmzZs0aNmxY8BMCAAAAAEINBf6fVFdXZ2RkbN269dqXjqupqampqSkqKlq+fPn8+fOzs7MHDRoUtJAAAAAAgBBEgf9CSUlJcnLyqVOn2m6JiIgYOHCg0Wg0GAzR0dGNjY0Oh6O+vt57XXoRcbvdmzZt2rVrV2FhocViUS87AAAAAKCHo8Bf1tDQMHv2bG97HzJkSGpq6owZMyZMmKDXt/MQud3uvXv37tixIz8/32q12u32lJSU0tLSqKiooAcHAAAAAIQEndoBuot169ZVV1eLSGpqqtVqzcvLu/3229tt7yKi0+nGjRv31FNPHTx4cPny5SJSUVGxcePGoCYGAAAAAIQSCvxl27ZtExGTybR58+bIyMhOztLr9bm5uVOnThWR/Pz8AOYDAAAAAIQ2CvxlNptNRFJSUsLCwro0UVGUuXPnikhFRUVAkgEAAAAAQIFv09TUJCK+ncQeGxsrIi6Xy8+ZAAAAAAD4HAX+soSEBBEpKSnxYa53VmJiop8zAQAAAADwOQr8ZVOmTBGRgoKCgoKCLk08cODAhg0bRMR7JjwAAAAAAIFAgb9s8eLFOp3O4/HMnDkzMzOzsrKywyl2uz0vL2/SpElOp1On0y1atCgIOQEAAAAAoYnvgb9s7Nixq1atWrlyZUtLS1ZWVlZWVlJS0rRp0xISEgwGg8FgiI6OdjqdDofD4XDU1tYWFxeXlZW1TV+zZs3o0aNVzA8AAAAA6Nko8F/IzMw0Go3Lli07f/68iFitVqvV2uGsiIiItWvXpqWlBT4gAAAAACB0cQj9FxRFSU9Pr6qqysjIMJvNHY43m80ZGRk2m432DgAAAAAINPbAXykuLi4nJyc7O9tmsx0+fLi8vLyurs7pdDY3N4eHh0dGRg4YMGDkyJEWi8VkMimKonZeAAAAAEBIoMC3T1EUs9ncmf3wAAAAAAAEAYfQAwAAAACgAeyB74KWlpaSkpKqqqqmpqaBAweOHTs2MTFR7VAAAAAAgJBAgf/Ce++9JyIxMTGjRo264q7z58/n5eU9++yz9fX1X779W9/61urVq6dNmxa8lAAAAACAkESB/8K//du/icjkyZPffffdL9/ucDimT5++Z8+er0756KOP7r777sceeywnJ4cL2gEAAAAAAocC3wGPx3P//fe3tfcRI0aMGTPGZDKdPHly//79+/fvF5Ff/epX/fv3X758uapJAQAAAAA9GQW+A++8805hYaGIREdHr127duHChTrd5Sv/eTyebdu2LV68+PTp0ytWrPjBD34wePBgVcMCAAAAAHosrkLfgc2bN3sXfvvb3z744INt7V1EFEWZM2fOxo0bReTChQsbNmxQJyIAAAAAIARQ4DvgvbKdxWL54Q9/2O6AmTNnjh07VkTefvvtoCYDAAAAAIQSCnwHampqRGTMmDFXu0adoii33HKLiNhstqAmAwAAAACEEgp8B/r16yciQ4cOvcaYIUOGiIjT6QxOJAAAAABACKLAd2DEiBEicvr06WuMqa6uls9rPAAAAAAAgUCB78B3v/tdESksLLx06VK7Ay5evFhUVCQd7aUHAAAAAOB6UOCvVFpaOnv27BUrVvzpT38qKyt78MEHBwwYYLPZcnJyvjrY4/GsXr36xIkTInLXXXcFOysAAAAAIGTwPfBXOnfu3Ouvv/766697/6koil6vF5EVK1aMGDFi7ty5bSNLS0tzc3NfffVVETEajenp6aoEBgAAAACEAgr8F372s5+Vl5eXl5dXVVW1trZ6b/R4PC0tLd7ljz/+uG3wJ598MmbMmLZ/Pvvss1FRUcFMCwAAAAAIKRT4LzzzzDPehZaWlqqqqoqKCm+f9y54r1TXxuPxeBcGDhy4fv36WbNmBTsuAAAAACCUUODb0bt37xEjRowYMeJ73/te243nz58/f/582z/1en1qauq8efPuvvvusLAwNWICAAAAAEIIBb6z+vbt27dv37Z/Dh48eOvWrSrmAQAAAACEFK5CDwAAAACABlDgAQAAAADQAAo8AAAAAAAaQIEHAAAAAEADKPAAAAAAAGgABR4AAAAAAA2gwAMAAAAAoAEUeAAAAAAANIACDwAAAACABlDgAQAAAN+dOXNGRBYtWqSo5+abb3a73Wo/EgACjgIPAAAA+M7pdKodQQ4dOnT27Fm1UwAIOL3aAQAAAADNS05OHjNmjCqrzs3NbW5uVmXVAIKMPfAAAAAAAGgABR4AAAAAAA2gwAMAAAAAoAEUeAAAAAAANIACDwAAAACABlDgAQAAAADQAAo8AAAAAAAaQIEHAAAAAEADKPAAAAAAAGgABR4AAAAAAA3Qqx0AAAAAgO9aWlpExGQyKYqiVoaMjIyMjAy11g6EDgo8AAAAoGFut1tEGhoaVMxQVFREgQeCgAIPAAAAaN6SJUvCw8ODv94TJ0688sorwV8vEJoo8AAAAIDmhYeHq1Lgw8LCgr9SIGRxETsAAAAAADSAAg8AAAAAgAZQ4AEAAAAA0AAKPAAAAAAAGkCBBwAAAABAAyjwAAAAAABoAAUeAAAAAAANoMADAAAAAKABFHgAAAAAADRAr3YAAD1HQUHB3/72N7XWfuLECbVWDQAAAAQBBR6A3yxcuLC2tlbtFAAAAEDPRIEH4DcXL14UkcmTJ/fu3Tv4a//kk08qKiqCv14AAAAgOCjwAPxs/Pjx4eHhqqyaAg8AAIAejIvYAQAAAACgARR4AAAAAAA0gAIPAAAAAIAGUOABAAAAANAACjwAAAAAABpAgQcAAAAAQAMo8AAAAAAAaAAFHgAAAAAADaDAAwAAAACgARR4oOd48cUX9Xq9op76+nq1HwMAAACgx6LAAz3Hhx9+2NraqnYKAAAAAAGhVzsAAD9LTk4eM2aMKqtevXq1x+NRZdUAAABAj8ceeAAAAAAANIACDwAAAACABlDgAQAAAADQAAo8AAAAAAAaQIEHAAAAAEADKPAAAAAAAGgABR4AAAAAAA2gwAMAAAAAoAEUeAAAAAAANIACDwAAAACABujVDgAAAABAq9xut4hYrda0tDS1MhiNxsceeyw2NlatAEDQUOABAAAA+Kiurk5ETp48uXHjRhVjDB8+fOHChSoGAIKDAg8AAADAR9498P379x8/frwqAQ4dOvTJJ5+0tLSosnYgyCjwAAAAAK5Lv379xowZo8qqP/vss08++USVVQPBx0XsAAAAAADQAAo8AAAAAAAaQIEHAAAAAEADKPAAAAAAAGgAF7EDAAAAoFX19fUisnTp0l/84hfX/9McIiJiMBg6P0Wn040ePfrtt99WFOX6AwDXRoEHAAAAoFWNjY0i0tTU1NTU5K+f6f2jQOe98847DQ1kNcf8AAAaAUlEQVQNN9xwg78CAFdDgQf8xm63jx49uq6uTu0gAAAAoeXuu+++5ZZb/PCDcnNFJCMjo/Mz/uu//qu5udkPqwY6gQLfAZfLVVdX53K5mpqa+vTpExUVZTQaY2Ji1M6F7ujo0aO0dwAAgODr3bt3eHi4v36aH38U4F8U+HbYbLbt27fv3LnzyJEjdrv9qwPi4+MtFsv06dNnzZo1bNiw4CdEd2YymebPn6/Kqp9//vnTp0+rsmoAAAAAgUaB/yfV1dUZGRlbt271eDzXGFZTU1NTU1NUVLR8+fL58+dnZ2cPGjQoaCEBAAAAACGIAv+FkpKS5OTkU6dOtd0SERExcOBAo9FoMBiio6MbGxsdDkd9fX1dXZ3T6RQRt9u9adOmXbt2FRYWWiwW9bLjsl//+tdvv/22Wmt3OBxqrRoAAABAj0eBv6yhoWH27Nne9j5kyJDU1NQZM2ZMmDBBr2/nIXK73Xv37t2xY0d+fr7VarXb7SkpKaWlpVFRUUEPjn+Sk5Nz5swZtVMAAAAAgP9R4C9bt25ddXW1iKSmpr7wwguRkZHXGKzT6caNGzdu3LgVK1Y88cQTeXl5FRUVGzduXLp0abDyon1ut1tEUlNTw8LCgr/2I0eOlJaWBn+9AAAAUMulS5dEZOrUqb169VIrw6OPPjpv3jy11o5gosBftm3bNhExmUybN2/ufPfT6/W5ubn79u0rLi7Oz8/3b4E/c+bMu+++622kXVJeXi6fV9kgKygoWLp0aUtLS/BX7XX27FkRaW5uVuW/7/2PO53Ojz/+OPhrF5GLFy+KyGeffaZWAO/FI44eParKH1Bqa2uFx5/Hn8efx5/HXw08/sLj37Me/y79KG+B379/v7/W7oOHHnpo5cqVaq3daDRu2bJl5MiRagUILR54PB6P54YbbhCRZcuW+TB3/fr1ImI0Gv0bKSUl5Xp+s/Pnz/dvns5YvHixf56XAAAAQNB5RK51LWtcxR/+8IfgV4/QxB74y5qamkTEt5PYY2NjRcTlcvk30gMPPODbcThnz549fvz4ww8/7N88nfHjH//Y4XCosvfbq7Kysrm5+aabblJl7a2trfv3709MTIyPj1clQH19/fHjx0eNGqXWl5fy+PP48/jz+PP4qxKAx5/Hn8ffb49/fr6I3HvvvZ2fEeKPv4j07dv3u9/9rlprDzWK55rflxY6TCZTVVXV9773vbfeequrc5ctW/ab3/zGbDYfP348ENkAAAAABIOiiIhQkdBd6dQO0F1MmTJFRAoKCgoKCro08cCBAxs2bBCRqVOnBiQZAAAAAAAU+DaLFy/W6XQej2fmzJmZmZmVlZUdTrHb7Xl5eZMmTXI6nTqdbtGiRUHI2fNcunRp6NChXZ2l0+m6+nVxOp3uhRde6OqUW265patTunr4lk6n6927d1entPsFh9fQq1evrp6REZwper1ep+vaC1Hv3r27OiU8PLyrU6Kioro6JSEhoatTnnzyya5OERGdTvfkk092dUpCQkJXp3T1rCKe/zz/uzSF5z/Pf57/XZoiPP+D8vz3QXCe/0ajsatTpkyZ0tUpH3/8cVJSUpemIMg4hP4LTz/99Jcv3piUlDRt2rSEhASDwWAwGKKjo51Op8PhcDgctbW1xcXFZWVlbYP/8z//8xe/+IUaqTXPZrOZzeauPg8VRXnqqae6dLFNRVEMBkOXar+iKDqdrrW1NdBTFEXp0oUDgjZFPr+wbSd5/wrWDaf06tXL7XYHekrv3r0vXbrUpSkxMTGNjY0+PP/79evn/c6Fzk/R6/Vd+oYInv/C85/nP8//TuP5z/O/xzz/fTiEvic9/5944ons7GwaYnfGRey+kJmZaTQaly1bdv78eRGxWq1Wq7XDWREREWvXrk1LSwt8QAAAAABA6OIQ+i8oipKenl5VVZWRkWE2mzscbzabMzIybDYb7R0AAAAAEGjsgb9SXFxcTk5Odna2zWY7fPhweXl5XV2d0+lsbm4ODw+PjIwcMGDAyJEjLRaLyWTyHmMGAAAAAECgUeDbpyiK2WzuzH54AAAAAACCgEPoAQAAAADQAAo8AAAAAAAaQIEHAAAAAEADKPAAAAAAAGgABR4AAAAAAA2gwAMAAAAAoAEUeAAAAAAANIACDwAAAACABlDgAQAAAADQAAo8AAAAAAAaQIEHAAAAAEADKPAAAAAAAGiAXu0A6FGefvrp7Ozs/v379+7du5NTLl26JCJms7mr61q7du2mTZu6NKWxsdGHFTGFKd1wStBW1Pkpbrc7CGthSjef8rWvfa3zr/8+r8W3WUxhSs+YErQVhezrf2VQ1tJtpzgcjq5OaWpqcjqdr7/++l133dXVbPCB4vF41M6AnuNb3/rWnj171E4BAAAA+MImIiImlVNoz89+9rNnnnlG7RQhgT3w8Kdbbrllz549WVlZ3//+99XOAhWMHj367NmzpaWlMTExamdBsO3evfuHP/zhxIkTN2/erHYWqOCXv/zl1q1bef0PWbz+h7Ie9vqvNDWJSGVEhNpBNMP7+p+UlKR2kFBBgYf/9e/f32TiD5ehSKfTicjQoUNvuOEGtbMg2Gw2m4j07duXzT809evXT3j9D2G8/ocyXv9DnPf1H0HDRewAAAAAANAACjwAAAAAABpAgQcAAAAAQAMo8AAAAAAAaAAFHgAAAAAADaDAAwAAAACgARR4AAAAAAA0gAIPAAAAAIAGUOABAAAAANAACjwAAAAAABpAgQcAAAAAQAMo8AAAAAAAaAAFHgAAAAAADaDAAwAAAACgARR4AAAAAAA0gAIPAAAAAIAGUODhT/369RORmJgYtYNAHTExMX369AkPD1c7CFTg3fDZ/EMWr/8hjtf/UMbrf4jj9T/IFI/Ho3YG9Bznzp3729/+9p3vfKdXr15qZ4EKjh496nK5xowZo3YQqKOoqGjUqFFxcXFqB4EKeP0Pcbz+hzhe/0MZr/9BRoEHAAAAAEADOIQeAAAAAAANoMADAAAAAKABFHgAAAAAADSAAg8AAAAAgAZQ4AEAAAAA0AAKPAAAAAAAGkCBBwAAAABAAyjwAAAAAABoAAUeAAAAAAANoMADAAAAAKABFHgAAAAAADSAAg8AAAAAgAZQ4AEAAAAA0AAKPAAAAAAAGkCBBwAAAABAAyjwAAAAAABoAAUeAAAAAAANoMADAAAAAKABFHgAAAAAADSAAg8AAAAAgAZQ4AEAAAAA0AAKPAAAAAAAGkCBBwAAAABAAyjwAAAAAABogF7tAOiZLly4sHXr1j/+8Y9Wq/X06dMmk8lisfz0pz+dNGmS2tGgAo/H89prr124cGHq1KkJCQlqx0HAOZ3O48ePl5eXnzt3btCgQePHjzcYDGqHQkDs27dv/fr1f/3rX0+ePBkREWEymebMmZOWlhYbG6t2NAQJ2zva8HYfUvi0rxoP4G/l5eXf/OY3232+LViwoKWlRe2ACLZnnnnG+wQoLCxUOwsC67333ps8efIVG76iKMnJyfv371c7HfwsKytLp2vnUL6vfe1re/fuVTsdAo7tHVfg7T508GlfRYrH4+l82wc6VFtbe+utt1ZXV4vI0KFD77nnnpiYmEOHDr355ptut1tEMjMzn376abVjInj27t07YcKElpYWESksLPzOd76jdiIEyubNmxcuXNja2truvWFhYf/zP/8zb968IKdCgKxfv37x4sXe5enTp48bN+7cuXOvv/76iRMnRCQuLm7v3r2DBw9WMyICie0dV+DtPnTwaV9lav8FAT1NcnKy96n1yCOPfPnPb3v27ImKihIRRVHKyspUTIhgamhoMJlMbS84/Em+Bzt48GBYWJj3Fz116tTi4uJTp0599tlnO3bsuO2227y36/X6999/X+2k8IOampq+fft6f6d//vOf226/cOHCvffe6/1133fffSomRECxveMKvN2HFD7tq4sCD3/avXu3d3u+6667Wltbr7h3/fr13nt/+ctfqhIPQeZ2u+fOnfvlvxjyjt6Dpaamen/L8+bNu2Lzb21tfeCBB7z3jh8/Xq2E8KPHH3/c+wv9xS9+ccVd586d8+541+l0lZWVqsRDoLG948t4uw8pfNpXHVehhz9t2LDBu/Dzn//8qydG3nfffcOHD/+Xf/mX/fv3Bz0aVPDf//3fr776qogkJSWpnQWBdeHChTfffFNEwsPDc3Nzr9j8dTrdb3/724EDB4rIhx9+6D3EGtrl8Xhee+017/LChQuvuDcqKur73/++iLjd7u3btwc7HAKP7R1X4O0+pPBpX3UUePjNpUuX3nrrLRGJj4//9re//dUB0dHRFRUVJ06c8A5Dz3bo0KElS5aIyIMPPvjv//7vasdBYJWVlTU3N4vIxIkTExMTvzogKipq4sSJ3uWPP/44qOHgbzab7fjx4yKSlJQ0fPjwrw6YMWOGd2Hnzp1BTYagYHvHl/F2H1L4tN8dUODhNx9//LHD4RCR5ORkvZ5vKAxpLpdr7ty5zc3NSUlJzz77rNpxEHB2u927cNNNN11tTHx8vHfh0qVLwciEgDl8+LB3Ydq0ae0OmDBhQkREhIgcOXIkeLEQLGzvaMPbfajh0353wOMOv7Fard6Fr33ta96FI0eO7N+//8yZMwaDYezYsSNHjlQURb2ACJ5HHnnk6NGj4eHhr7zySmRkpNpxEHC33HLLli1bRGT06NFXG1NWVuZd+MY3vhGkWAiM8vJy78LVvudZr9cPHDjwxIkTdru9qanJW+bRY7C9ow1v96GGT/vdAQUeflNRUeFdiI+P37NnT3p6+r59+7484F//9V9/9atfXW2PDXqMLVu2vPTSSyLy7LPPjho1Su04CIbhw4e3eyh1m3fffffDDz/0jjSbzcHKhYCoq6vzLhgMhquNMRgM3pOfT506NXTo0KDkQpCwvcOLt/sQxKf97oBD6OE3DQ0N3oUDBw5MmjTpiu3Ze/vdd9/NEVY927Fjx7xfDX3vvff+5Cc/UTsOuoUjR460fbXYihUrevXqpW4eXCeXy+VduEaBNxqNVwxGiGB7DxG83YcmPu13BxR4+E3bp7Tnn3++paXltttue+utt6qrq8+cOfPuu++2Xddk6dKlxcXF6sVEADU3N8+dO9flcg0dOnTjxo0cQ4WWlpZnn3127Nixp0+fFpEFCxbcf//9aofC9Tp//rx3ITo6+mpj2u5qamoKRiZ0A2zvoYO3+5DFp/3ugEPo0VnHjh2rqqr66u1Tpkzp06ePiFy8eLHtxrS0tN///vdt3y0xefLk22+/PSMjIy8vz+PxZGRklJSUBCc2/KXDJ4CILF269ODBg3q9/uWXX46NjQ1uQARQZ377V/B4PG+99dby5cuPHTvmvWXBggUbN2786lfOQHPCw8O9C06n82pjGhsbvQtXe4agJ2F7DzW83YcsPu13BxR4dNaLL76Ym5v71ds/++wz78Vm2y5TNGTIkN/85jdXvG0rivLkk09u2bKlpqZm7969NpvNZDIFITb8pcMnwGuvvbZu3ToRycrKGj9+fLDzIZA6/O1fobKyMi0tbdeuXd5/xsfHr1+//p577glsSgRL26WqvNciblfbXVFRUcHIBPWwvYca3u5DGZ/2uwP+Mgq/afuUduedd7Z7JdLIyMhJkyZ5l0tLS4OXDIF39uzZBx98UESmTZu2bNkyteNANa2trc8999zNN9/s/TQfFRX15JNPlpeX82m+JxkwYIB34RoFvr6+3rtwjfPkoXVs7yGIt/sQx6f97oACj87KycnxtKdt/1vb39hGjBhxtR/y9a9/3btwjY996J6u/QQ4d+7c2bNnReQvf/lLr169lH/WtvN2+vTp3ls4MVJbOtz8vS5cuJCcnLxkyZKmpiadTvfII49UVlauWrXqGmdKQ4vaXuRra2vbHeB2u71Xqo+Li+Pw2p6K7T008XYf4vi03x1wCD385sYbb/QunDx58mpjvBe2ERE+0gE9TGtr67x583bu3CkiN91004svvnjrrbeqHQoBYbFYvAtXu0bR3r17vafHt41ED8P2DoQmPu13BxR4+M2YMWMiIyNdLteePXs8Hk+7lyRtO5YmKSkpuOkQWP369XvyySevdm9RUdHu3btFZN68ed5vD7755puDFw5BkZOTs23bNhG58847X3/9dfbC9WBms9lkMtlstrKyspMnTyYmJl4xYMeOHd6F6dOnBz0dgoHtPWTxdh/i+LTfLbR7VCTgm7lz53qfV6+99tpX733zzTe99w4bNsztdgc/HtSSkZHh/dUXFhaqnQUB0dzcHBcXJyKJiYkNDQ1qx0HAPfbYY96N2nu14S9raWnx7qLR6XSVlZWqxENAsb3jani7DwV82lcd58DDnx5//HHvwk9+8pPt27d/+a533nnnoYce8i7/8pe/5CtDgZ5k27Zt3tOhH3nkkZiYGLXjIOAeffTRvn37isjq1asPHjzYdrvH48nMzPz4449F5P777+f6wz0S2zsQyvi0rzoOoYc/ffOb31y2bNmvf/1rh8Nxzz33TJw4cdy4cb169dq3b99f//pX75jZs2cvWLBA3ZwA/OuDDz7wLvzxj3/0nhZ7DX/4wx+8h1ZCu+Lj43/zm9+kp6efO3du4sSJixcvHjNmTGNj4yuvvOK9IHliYmJOTo7aMREQbO9AKOPTvuoo8PCz3NzcCxcu/Pa3vxWR3bt3e0+FapOWlvbcc89d8aWRALTOZrN5Fw4fPtzhYO/lzaB1ixcvPnPmzJNPPul0OvPy8r58l9lsfuONNwYNGqRWNgQU2zsQ4vi0ry4eWfiZTqd77rnndu/evXDhQpPJFBERERERMWLEiLS0tH379q1fvz4sLEztjAD8rO0DPUJKZmbmRx99tHDhwmHDhvXp0+eGG2649dZb8/LyysrKRo0apXY6BArbOxDi+LSvLsXj8aidAQAAAAAAdIA98AAAAAAAaAAFHgAAAAAADaDAAwAAAACgARR4AAAAAAA0gAIPAAAAAIAGUOABAAAAANAACjwAAAAAABpAgQcAAAAAQAMo8AAAAAAAaAAFHgAAAAAADaDAAwAAAACgARR4AAAAAAA0gAIPAAAAAIAGUOABAAAAANAACjwAAAAAABpAgQcAAAAAQAMo8AAAAAAAaAAFHgAAAAAADaDAAwAAAACgARR4AAAAAAA0gAIPAAAAAIAGUOABAAAAANAACjwAAAAAABpAgQcAAAAAQAMo8AAAAAAAaAAFHgAAAAAADaDAAwAAAACgARR4AAAAAAA0gAIPAAAAAIAGUOABAAAAANAACjwAAAAAABpAgQcAAAAAQAMo8AAAAAAAaAAFHgAAAAAADaDAAwAAAACgARR4AAAAAAA0gAIPAAAAAIAGUOABAAAAANAACjwAAAAAABpAgQcAAAAAQAMo8AAAAAAAaAAFHgAAAAAADaDAAwAAAACgARR4AAAAAAA0gAIPAAAAAIAGUOABAAAAANAACjwAAAAAABpAgQcAAAAAQAMo8AAAAAAAaAAFHgAAAAAADaDAAwAAAACgARR4AAAAAAA0gAIPAAAAAIAGUOABAEBnHT16VLm62NjYpKSkBQsWbN++vbW1Ve2wAAD0NIrH41E7AwAA0IajR48mJSV1ZuSYMWM2bNgwZsyYQEcCACB0UOABAEBntRX4G2644b777vvyXRcvXjx16tTevXtPnjzpvSUiIuLNN9+88847VQgKAEBPRIEHAACd1Vbgb7rppsOHD391gMfj+dvf/rZkyZIDBw6ISN++fQ8ePDh8+PBgBwUAoCfiHHgAAOA3iqJMnjz5/fffnzJlioicP3/+oYceYm8BAAB+QYEHAAB+FhER8fLLL8fExIjIu+++W1JSonYiAAB6Ago8AADwv7i4uCVLlniXN27cqG4YAAB6Bgo8AAAIiPvvv9+7UFxcrG4SAAB6Bgo8AAAIiOHDhxuNRhGpqqo6deqU2nEAANA8CjwAAAgIRVFuvPFG73JVVZW6YQAA6AEo8AAAIFAMBoN3ob6+Xt0kAAD0ABR4AAAQKFFRUd4Fp9OpbpL/b+8OWVML4DAOn4u3CYJt1TXrtiCr2oyWfQHBr2Pc8r6BXbCbx8KqTFAEw0mC5wbL4oWrHN5znyf9ORje+uPAEQAaQMADALdSluXl6HQ69S4BgAYQ8ADArRwOh8vR7XbrXQIADSDgAYCbqKrq4+Pjct/f39c7BgAaQMADADfx9fW13++LH/8nBwD8CwEPANzE+/v75RgOh/UuAYBmEPAAwPVtt9v5fH65p9NpvWMAoBkEPABwZWVZvry8HI/HoihGo9Hj42PdiwCgCQQ8AHA15/N5uVw+Pz+vVquiKNrt9tvbW92jAKAhftc9AADIs9lsZrPZzyen02m3263X6+/v78uTdru9WCx6vV4dAwGggX5VVVX3BgAgw+fnZ7/f/5tfPj09vb6+Pjw83HoSAPw/vIEHAK6j0+nc3d0NBoPJZDIej1utVt2LAKBRvIEHAACAAD5iBwAAAAEEPAAAAAQQ8AAAABBAwAMAAEAAAQ8AAAABBDwAAAAEEPAAAAAQQMADAABAAAEPAAAAAQQ8AAAABBDwAAAAEEDAAwAAQAABDwAAAAEEPAAAAAQQ8AAAABBAwAMAAEAAAQ8AAAABBDwAAAAEEPAAAAAQQMADAABAAAEPAAAAAQQ8AAAABBDwAAAAEEDAAwAAQAABDwAAAAEEPAAAAAQQ8AAAABBAwAMAAEAAAQ8AAAABBDwAAAAEEPAAAAAQQMADAABAAAEPAAAAAQQ8AAAABBDwAAAAEEDAAwAAQAABDwAAAAEEPAAAAAQQ8AAAABBAwAMAAEAAAQ8AAAABBDwAAAAEEPAAAAAQQMADAABAAAEPAAAAAQQ8AAAABBDwAAAAEEDAAwAAQAABDwAAAAH+AIJb2/CQ8OMbAAAAAElFTkSuQmCC)
# Distribuição acumulada empírica da estatística sob H_0.
plot(ecdf(D), cex = 0)
rug(D)
abline(v = d, col = 2)
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)
# P-valor do teste (bilateral).
2 * sum(D >= d)/length(D)
## [1] 0.003334127
#-----------------------------------------------------------------------
# Com reamostragem sem reposição (não necessáriamente exaustivo).
# Variáveis que indentifica os grupos.
g <- rep(1:2, each = 10)
# Apenas para conferir.
cbind(g, mf)
## g mf
## [1,] 1 120
## [2,] 1 107
## [3,] 1 110
## [4,] 1 116
## [5,] 1 114
## [6,] 1 111
## [7,] 1 113
## [8,] 1 117
## [9,] 1 114
## [10,] 1 112
## [11,] 2 110
## [12,] 2 111
## [13,] 2 107
## [14,] 2 108
## [15,] 2 110
## [16,] 2 105
## [17,] 2 107
## [18,] 2 106
## [19,] 2 111
## [20,] 2 111
# Replicando a diferença para grupos formados por aleatorização.
D <- replicate(9999, {
gg <- sample(g)
-diff(tapply(mf, gg, FUN = mean))
})
# Tem que juntar a estatística observada com as simuladas.
D <- c(D, d)
hist(D, col = "gray50")
rug(D)
abline(v = d, col = 2)
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)
plot(ecdf(D), cex = 0)
rug(D)
abline(v = d, col = 2)
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)
# P-valor do teste (bilateral).
2 * sum(D >= d)/length(D)
## [1] 0.0054
Teste para a correlação
#-----------------------------------------------------------------------
# Teste de aleatorização para a correlação.
# N = 5 para um par de medidas.
x <- c(4.1, 8.3, 2.9, 10.8, 9.5)
y <- c(3.7, 5.1, 1.0, 7.7, 8.9)
cbind(x, y)
## x y
## [1,] 4.1 3.7
## [2,] 8.3 5.1
## [3,] 2.9 1.0
## [4,] 10.8 7.7
## [5,] 9.5 8.9
![](data:image/png;base64,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)
# Estatística de teste na amostra original: coeficiente de correlação de
# Pearson.
r0 <- cor(x, y, method = "pearson")
r0
## [1] 0.9228669
# Todas as permutações possiveis: 5! = 120 do vetor x.
X <- gtools::permutations(n = length(x), r = length(x), v = x)
str(X)
## num [1:120, 1:5] 2.9 2.9 2.9 2.9 2.9 2.9 2.9 2.9 2.9 2.9 ...
## [,1] [,2] [,3] [,4] [,5]
## [1,] 2.9 4.1 8.3 9.5 10.8
## [2,] 2.9 4.1 8.3 10.8 9.5
## [3,] 2.9 4.1 9.5 8.3 10.8
## [4,] 2.9 4.1 9.5 10.8 8.3
## [5,] 2.9 4.1 10.8 8.3 9.5
## [6,] 2.9 4.1 10.8 9.5 8.3
# As 120 correlações obtidas para cada arranjo.
r <- apply(X, MARGIN = 1, FUN = cor, y = y, method = "spearman")
# Gráfico da distribuição da estatística de teste.
plot(ecdf(r), cex = 0)
rug(r)
abline(v = r0, col = 2)
![](data:image/png;base64,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)
# P-valor do teste.
2 * sum(r >= r0)/length(r)
## [1] 0.01666667
Índice de Moran
#-----------------------------------------------------------------------
# Índice de Moran para medir dependência espacial.
# Coordenadas dos eventos em uma malha regular 8 x 8.
x <- 1:8
y <- 1:8
# Construção da matriz de pesos que determina a vizinhança entre
# observações.
ind <- expand.grid(i = 1:length(x),
j = 1:length(y))
# Função que determina o peso entre duas localizações na malha.
f <- function(i, j) {
u <- min(3, sum(abs(ind[i, ] - ind[j, ])))
w <- c(0, 1, sqrt(1/2), 0)[u + 1]
return(w)
}
# Cria os pesos, matriz (8^2) x (8^2) = 64 x 64.
w <- matrix(0, nrow = nrow(ind), ncol = nrow(ind))
for (i in 1:nrow(ind)) {
for (j in 1:nrow(ind)) {
w[i, j] <- f(i, j)
}
}
# Normaliza.
w <- w/sum(w)
# Gráfico. Valores claros indicam maior peso entre observações.
image(w, asp = 1, col = gray.colors(100))
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)
# Lógica do índica de Moran: correlação entre valores observados e
# média dos vizinhos. Exemplo com valores simulados.
xx <- rnorm(64)
cor(cbind("Valores observados" = xx,
"Média dos vizinhos" = as.vector(xx %*% w)))
## Valores observados Média dos vizinhos
## Valores observados 1.0000000 -0.1279173
## Média dos vizinhos -0.1279173 1.0000000
# Índice de Moran.
moran <- function(x, weights) {
# Tamanho da amostra.
n <- length(x)
# Valores normalizados.
z <- as.vector((x - mean(x))/sd(x))
# Índice de Moran.
as.vector(z %*% weights %*% (z * sqrt(n/(n - 1))))
}
# Teste de permutação com saída gráfica.
ppt <- function(z, w, N = 10000, stat, ...) {
# Índice de Moran por reamostragem.
sim <- replicate(N,
moran(sample(z), w))
# Determina o p-valor.
p.value <- mean((all <- c(stat, sim)) >= stat)
# Histograma da distribuição empírica sob H_0.
hist(sim,
sub = paste("p =", round(p.value, 4)),
xlim = range(all),
...)
abline(v = stat, col = "#903030", lty = 3, lwd = 2)
return(p.value)
}
# Observações simuladas.
set.seed(17)
par(mfrow = c(2, 3))
# Dados com dependência espacial ---------------------------------------
# Indução de autocorrelação por meio de uma tendência.
z <- matrix(rexp(length(x) * length(y),
outer(x, y^2)),
length(x))
image(log(z), main = "Com dependência")
cor(cbind("Valores observados" = as.vector(z),
"Média dos vizinhos" = as.vector(as.vector(z) %*% w)))
## Valores observados Média dos vizinhos
## Valores observados 1.0000000 0.1335676
## Média dos vizinhos 0.1335676 1.0000000
# Índice de Moran com dados originais.
stat <- moran(z, w)
stat
## [1] 0.06499871
hist(z)
ppt(z, w, stat = stat, main = "I de Moran", xlab = "I")
## [1] 0.01459854
# Dados sem dependência espacial ---------------------------------------
# Geração de de um conjunto de dados sob hipótese nula.
z <- matrix(rnorm(length(x) * length(y), 0, 1/2), length(x))
image(z, main = "Sem dependência")
cor(cbind("Valores observados" = as.vector(z),
"Média dos vizinhos" = as.vector(as.vector(z) %*% w)))
## Valores observados Média dos vizinhos
## Valores observados 1.00000000 -0.04639892
## Média dos vizinhos -0.04639892 1.00000000
# Índice de Moran com dados originais.
stat <- moran(z, w)
stat
## [1] -0.0121901
hist(z)
ppt(z, w, stat = stat, main = "I de Moran", xlab = "I")
![](data:image/png;base64,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)
## [1] 0.4478552