[b]（一）ID3算法[br][/b][br] ID3算法的核心是在决策树各个结点上对应信息增益准则选择特征，递归地构建决策树。[br] 具体方法是：[br] 第一步。从根结点（[i]root node[/i]）开始，对结点计算所有可能的特征的信息增益，选择信息增益最大的特征作为结点的特征。[br][br] 第二步。由该特征的不同取值建立子节点，再对子结点递归地调用以上方法，构建决策树；直到所有特征的信息增益均很小或没有特征可以选择为止；[br][br] 第三步。最后得到一个决策树。[br][br] 依然以打球数据集[math]D[/math]为例。由以上计算可知：[br][br] [math]H\left(D\right)=0.9403[/math][color=#0000ff][b][url=https://www.geogebra.org/m/cvkzftfy]（计算过程）[/url][/b][/color][color=#1e84cc][icon]/images/ggb/toolbar/mode_zoomin.png[/icon][/color]，即数据集[math]D[/math]的总信息熵为0.9403。

[math]H\left(D\mid X_{outlook}\right)=0.6935[/math]，即在[math]outlook[/math]确定的情况下，数据集[math]D[/math]的信息熵已降低为0.6935。则信息增益为 [math]g\left(D,X_{outlook}\right)=0.2468[/math]，同理，可计算其他特征分量的信息增益值为：[br] [br] [math]H\left(D\mid X_{temperature}\right)=0.9111[/math],[math]g\left(D,X_{temperature}\right)=0.0292[/math][br][br] [math]H\left(D\mid X_{humidity}\right)=0.78845,g\left(D,X_{humidity}\right)=0.1518[/math][br] [br] [math]H\left(D\mid X_{windy}\right)=0.8922,g\left(D,X_{humidity}\right)=0.0481[/math]

则根据以上计算，特征[math]outlook[/math]的信息增益值最大，为0.2468，按照决策树[i]ID[/i][i]3[/i]算法的第一步，所以选特征[math]outlook[/math]为根节点。画图（图2-1-1）可表示如下： [br][center][img]https://s21.ax1x.com/2025/02/21/pEQIm9g.png[/img][br]图2-1-1 根节点[/center]

[math]outlook[/math]共有三个取值，分别为[math]overcast[/math](阴天）[math]sunny[/math](晴天）、和[math]windy[/math](刮风）。按照决策树ID3算法的第二步，我们进一步计算以上三个子特征条件下的信息增益。[br][br] 在[math]overcast[/math]取值条件下，数据集[math]D[/math]的数据子集[math]D_{outlook-overcast}[/math]已在上节列示，其条件熵为0，代表无随机性，确定性很强，信息增益也为0，根据第二步所说明的判断条件，[math]overcast[/math]分枝即停止。

在[math]rainy[/math]取值条件下，依据上节计算，数据集[math]D[/math]的数据子集[math]D_{outlook-rainy}[/math]的信息熵为[math]H\left(Y_{piay}\mid X_{rainy}\right)=0.971[/math][color=#0000ff][b][url=https://www.geogebra.org/m/nq8yfs8e]（计算过程）[/url][icon]/images/ggb/toolbar/mode_zoomin.png[/icon][/b][/color]。进一步计算其他特征值的信息增益，如表2-1-5所示。[br][center][/center]

同样，在[math]sunny[/math]取值条件下，依据上节计算，数据集[math]D[/math]的数据子集[math]D_{outlook-sunny}[/math]的信息熵为[math]H\left(Y_{play}\mid X_{sunny}\right)=0.971[/math]。进一步计算其他特征值的信息增益，如表2-1-6所示。

依据以上计算，按照决策树ID3算法的第二步，可以从根节点分枝，如图2-1-2所示。[br][center][img]https://s21.ax1x.com/2025/02/21/pEQIlBq.png[/img][/center][center]图2--1-2 决策树第二分枝[/center]

由以上图可以看出，在第二层分枝中，[math]H\left(Y_{play}\mid X_{outlook-overcast}\right)=0[/math]，分枝停止。而其余两个节点还需要继续分枝，则继续罗列子数据集[math]D_{sunny-humidity}[/math]及[math]D_{rainy-windy}[/math]如下：

由以上两表可以快速计算出[math]H\left(Y_{play}\mid X_{outlook\left(sunny\right)-humidity\left(high\right)}\right)=0[/math]、[math]H\left(Y_{play}\mid X_{outlook\left(sunny\right)-humidity\left(normal\right)}\right)=0[/math]，同时，[math]H\left(Y_{play}\mid X_{outlook\left(rainy\right)}-windy\left(FALSE\right)\right)=0[/math]、[math]H\left(Y_{play}\mid X_{outlook\left(rainy\right)-windy\left(TURE\right)}\right)=0[/math]。由此第三层分枝也全部停止，可以画出天气与打球关系的全貌决策树如下图2-1-3所示：[br][center][img]https://s21.ax1x.com/2025/02/21/pEQI0D1.png[/img][/center] 图 2-1-3 天气-打球决策树

根据以上决策树，可以形成对是否打球的基本判断逻辑是：首先看天气状况，如果是阴天，则去打球；如果是雨天，则看是否刮风，如刮风，则不去打球，如不刮风，则去打球；如果是晴天，则看湿度状况，如果高，则不去打球，如果正常，则去打球。如下图所示。

[b]（二）C4.5算法[br][br][/b]C4.5 算法与ID3算法相似，但是做了改进，将信息增益率作为选择特征的标准。[br] 信息增益率=信息增益/属性熵。用公式表示为：[br] [math]GainRatio\left(D\mid A\right)=\frac{infoGain\left(D\mid A\right)}{IV\left(A\right)}[/math][br] [br] [math]IV\left(A\right)=-\sum^K_{k=1}\frac{\mid D_k\mid}{\mid D\mid}\ast log_2\frac{\mid D_k\mid}{\mid D\mid}[/math][br]

其中[math]A=\text{[}a_1,a_2,...a_k\text{]}[/math]，有[math]k[/math]个值。若使用[math]A[/math]来对样本集[math]D[/math]进行划分，则会产生[math]k[/math]个分枝节点，其中第[math]k[/math]个节点包含[math]D[/math]中所有属性[math]A[/math]上取值为[math]a_k[/math]的样本，记为[math]D_k[/math]。通常，属性[math]A[/math]的可能取值数越多（即[math]k[/math]越大），则[math]IV\left(A\right)[/math]的值通常会越大。[br] 具体方法是：[br] 输入：训练数据集[math]D[/math]，特征集[math]A[/math]，阈值[math]\varepsilon[/math]；[br] 输出：决策树[math]T[/math]。

（1）如果[math]D[/math]中所有实例属于同一类[math]C_k[/math]，或[math]A=\varnothing[/math]，则设置[math]T[/math]为单结点树，并将[math]C_k[/math]作为该结点的类，返回[math]T[/math]；[br] （2）按公式计算[math]A[/math]中各特征对[math]D[/math]的信息增益比，选择信息增益比最大的特征[math]A_{_g}[/math]；[br] （3）如果[math]A_g[/math]的信息增益比小于阈值[math]\varepsilon[/math]，则设置[math]T[/math]为单节点树，并将[math]D[/math]中实例数最大的类[math]C_k[/math]作为该节点的类，返回[math]T[/math]；[br] （4）否则，对[math]A_g[/math]的每一可能值[math]a_i[/math]，依[math]A_g=a_i[/math]将[math]D[/math]分割为若干非空[math]D_i[/math]子集，并将[math]D_i[/math]中例数最大的类作为标记，构建子结点，由节点及其子节点构成树[math]T[/math]，返回[math]T[/math]；[br] （5）对结点[math]i[/math]，以[math]D_i[/math]为训练集，以A→﹛A﹜为特征集，递归地调用步（1）～步（4），得到子树[math]T_i[/math]，返回[math]T_i[/math]。

同样以天气打球数据集[math]D[/math]为例，根据此前计算，数据集[math]D[/math]的经验熵[math]H\left(D\right)=0.940286[/math]。而各特征变量的属性熵为：[br] [math]IV\left(A_{outlook}\right)=-\frac{5}{14}log_2\frac{5}{14}-\frac{4}{14}log_2\frac{4}{14}-\frac{5}{14}log_2\frac{5}{14}=1.5774[/math][color=#0000ff][b][url=https://www.geogebra.org/m/k55kewaw]（计算过程）[/url][/b][/color][color=#1e84cc][icon]/images/ggb/toolbar/mode_zoomin.png[/icon][/color]，下同。[br][br] [math]IV\left(A_{temperature}\right)=-\frac{4}{14}log_2\frac{4}{14}-\frac{6}{14}log_2\frac{6}{14}-\frac{4}{14}log_2\frac{4}{14}=1.5567[/math][br][br] [math]IV\left(A_{humidity}\right)=-\frac{7}{14}log_2\frac{7}{14}-\frac{7}{14}log_2\frac{7}{14}=1[/math][br][br] [math]IV\left(A_{windy}\right)=-\frac{8}{14}log_2\frac{8}{14}-\frac{6}{14}log_2\frac{6}{14}=0.98523[/math]

则根据以上计算，依然是特征[math]outlook[/math]的信息增益率最大，为0.1564，按照决策树[i]C4.5[/i]算法的第三和第四步，依然选特征[math]outlook[/math]为根节点。并由此可进一步计算[math]outlook[/math]各特征值的信息增益率并列表如下：[br]

至此，第二层分枝已全部确定，按照C4.5的具体执行步骤，可以很快看出，还需要向下分枝第三层。请同学们自行计算并画出一幅完整的决策树图。 [br] 以上所有的计算过程及步骤均在下方的[color=#ff0000]二维码[/color]中详细列明，请读者扫描并下载为本地文件，即可查看。 [br] [img]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAHIAAAByCAYAAACP3YV9AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAgAElEQVR4AQCIgHd/Af////8AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAQEBAQIAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAIAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAADP2OMArbzQAN3j6wD3+fsAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAQAAABIPCwAuJRsAXk43ABEOCgAAAAAAAAAAALC+0QCgssgAAAAAAAAAAAAAAAAAAAAAAB0XEQCTeVYAAAAAAAAAAAAAAAAAAAAAANbe5wB6krIAAAAAAAAAAAAAAAAAAAAAAAAAAACoiWIACAcFAAAAAAAAAAAAAAAAAPX3+gBjf6MA+Pr8AAAAAAChhF4ADwwJAAAAAABhfaMA7/P2AAAAAACPdVQAIRsTAAAAAAAAAAAAAAAAAAAAAACCmbYAztfjAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABaSTQAVkczAAAAAAAAAAAA2eDpAKi4zQDa4ekA9ff6AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAEAAAAPDAkAKyQZAFxLNgAZFQ8AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAADP2OMAcYqsAP3+/wAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAADs8PUA2uHqAM3X4gCZfloACQcFAAAAAAD3+foA7fD1AAAAAAAAAAAAAAAAAAAAAAAMCQcAAAAAAAAAAAAAAAAAAAAAAAAAAAD7/P4A7fD1AAAAAAAAAAAAAAAAAAAAAAAAAAAA/wAAAAAAAAAAAAAAAAAAAAAAAAD///8A7fD1APj6/AAAAAAA//7/AAAAAAAAAAAA7vH1AO7y9gAAAAAA/f3+AAAAAAAAAAAAAAAAAAAAAAAAAAAA8vT4AO3w9QAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA9vj7AAAAAAAAAAAA3ePrAGyHqgD4+fsAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA7PD1AN3k7ADG0N8AoIRdAA8MCQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAEAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAArbzQAP3+/wAAAAAANiwfABoVDwAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAD8/v4AztbjAObr8QDf5e0Ay9ThAD4zJAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAALPB0wD4+fsAAAAAAC8mGwAhGxMAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA/v//ANPb5gDf5e0A7PD0AL7J2QBRQzAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAN3j6wAAAAAANiwfAIxzUgABAQEAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAOXp8ABbeaAA/f7+AOLn7gAAAAAAAAAAAEE1JwAlHhYAAAAAANHa5QCgscgAAAAAAOnt8gBwiqwAAAAAACAaEwBwXEEAAAAAAAAAAAAAAAAAAAAAABEOCgB+Z0kAAAAAAOzw9QB5kbAAAAABAAAAAAAAAAAAAAAAAP3+/gB0YEQAEw8LAAAAAAALCgcAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACNor0A4+jvAAAAAABCNiYAWEgzAAAAAACdr8cA1NzmAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAADc4+sAAAAAACMdFACTeVYAAQEBAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAD09vkAUHCZAPn6/ADh5+4AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAD3+fsAAAAAABoVDwABAQEAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAPDQkABgUDAPf5/gD5+/wAAAAAAAAAAAAYFA4AGBQOAAAAAAD09vkAAAAAAAAAAAD4+vwAzdbiAAAAAAD4+fsAAAAAAAAAAAAAAAAAAAAAAAAAAAAGBQMANCsfAAAAAADl6vAAh5y5AP7//wAAAAAAAAAAAAAAAAAAAAAAdmBFAB0YEQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA197oANng6QAAAAAAWEgzADQrHwAAAAAArbzQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA+Pn8AAAAAAAZFA8AAQEBAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACAcFAA0LCAD5+vQA+fv8AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAOXp8ACcr8YA5OnvAP//AAAAAAAAAAAAAAAAAAAGBAMANi0fAF5NNwACAgIAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABEOCgBeTTYAAAAAAPDz9wBmgaYAAAAAAPb4+gAAAAAAAAAAAO7x9QBmgaYAAAAAAPr8/ABoVj0ABQQCAAAAAAAAAAAAAAAAAPn6/QCCmLYAAQEBAAAAAACNdFIADQsIAAAAAAD9//8AAAAAAAAAAACCmbYACAYFAAAAAADh5u0AAAAAAAAAAAAAAAAAAAAAAAAAAABNPy0AMyodAAAAAAC8yNkA1d3nAAAAAAAxKB0APjMjAAAAAAAqIxkAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAADt8fUAmqzEAN/k7QD+//8AAAAAAAAAAAAAAAAABAMCAC4mGwBjUToABwYEAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACcr8YAvMjYAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAANPc5gAtJRsAMyoeAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAOCwgAVEUyAAAAAADU3OYAobLJAAAAAAAAAAAAAAAAAAAAAAD7/P4A19/oAAAAAAAAAAAAUEIvAAkHBQAAAAAAAAAAAAAAAAD09vkAoLHHAPj6/AAAAAAA/f3+AAAAAAAAAAAAAwEBAAAAAAAAAAAA3+XtAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAOjAiAAAAAAAAAAAA3OPsANXd5wAAAAAAJh8WAFRFMgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAqLfMALbD1QAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAADV3ecAJB0VAEY6KQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA5OnvAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA7O/0AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAOPp7wAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAOvv9AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAP//AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAP8AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAMfR3wC9ydgAAAAAAOnt8wAAAAAAAAAAAOzw9ACEmrcAAAAAAPDz9wAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAP39/gCHnbkAAAAAAPz9/gBkUzsADwwJAAAAAAAKCQYAAAAAAAAAAABvXEEA+vv9AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAjHRQAAAAAAAAAAACrus4A2eDpAAAAAAAgGhMAe2VIAAAAAAAgGhIAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA/wAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAP8AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAADg5uwAucbXAAAAAAAAAAAAAAAAAAAAAAD19/oAucbXAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAD///8AucbXAAAAAAAAAAAAY1E6AB0YEQAAAAAAAAAAAAAAAAAAAAAAQjYnAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAztfjAMTP3QAAAAAAd2FFAEg7KgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAGnIqGEAACAASURBVAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACkiGQBbSjUAAAAAAOLo7gDDzt0AAAAAAAAAAAAAAAAAAAAAABQQCwBHOioAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAEAwIAAAAAAAAAAAAAAAAAAAAAAAAAAACPpL4ACgcFAAAAAAAAAAAAAAAAAAAAAAD/AAAAAQAAAAAAAABrWT8AGRQPAAAAAACWqcIA5urwAAAAAABeTjcAJh8XAAAAAAD+/v8AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAGBAMAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAEAwIAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAwJxwAMCccAAAAAADAy9oAw87dAAAAAAAAAAAAAAAAAAAAAAAXEw4AaFY9AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAy9ThAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAYE85AAAAAAAAAAAAztfjANng6QAAAAAATD8tAAAAAAAAAAAAAgIBAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABQQDAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABAMDAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAANi0fAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAFBAMAJyEXAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAADYtIAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAwIBACojGAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAF5NNwAtJRsA7O/0AP8AAAAAAAAAAAAAAAAAAAAEAwIAJyEXABwWEAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAPP1+ACltssAAAAAAAAAAABjUToABQQDAAICAQBnVDwAAAAAAAAAAAAAAAAAAAAAAAAAAAChssgA+Pr8AAAAAAAAAAAAAAAAAAAAAACru84AEQ4KAAAAAADr7/MAAAAAAAAAAAC2w9UA0NnkAAAAAADg5u0AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABMPiwAIBoSAObr8QD//wAAAAAAAAAAAAAAAAAAAwIBACMdFQAhGxMAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACAgIAMyoeAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAD19/oApbXLAAAAAAAAAAAAX044AAUEAwACAgIAXEw2AAAAAAAAAAAAAAAAAAAAAAAAAAAAqLnNAPj6/AAAAAAAAAAAAAAAAAAAAAAAtsPVAAAAAAAAAAAAAAAAAAAAAAAAAAAAv8vaAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAQEBAC0lGwAtJRsAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAQAAAAAAAAD8/v4AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA/v//AP8AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAEAAAAAAAAA/f7+AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAD//wD+/v4AAAAAAAEAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABIPCwDs8PUAztbjAOXp8AAPDQkAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA/v//AMjS3wD4+fsAAAAAAA8MCAAAAAAAAAAAAM3W4gDEz90AAAAAAPz8/QBHOikAAAAAAOfs8gDS2uUAAAAAAAAAAAAAAAAAAAAAAOXq8ACsu88AAAAAAP7//wBHOikAAAAAAPb4+gCXqsIAAwICAAICAQBtWUAAAAAAAPn6/ACcrsUA/P3+AAAAAAA5LiEA////AAAAAAC/y9oA+vv9AAAAAAA6LyIADQsHAAAAAADH0d8A8vX4AAAAAAAyKR0AFREMAAAAAADP2OMA6u70AAAAAAAAAAAAAAAAAAAAAAC/y9oA0trlAAAAAAA4LiEANy0gAAAAAAARDwoAAAAAANbd6ADe5OwAFhINAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAP///wDY3+kA7/L3AAAAAAAODAgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAuJRsA2uHqAObr8QBbeaAABgUDAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAP8AAAD4+fsAAAAAAAEBAAAqIhkAAAAAAAAAAADa4ekArLvPAAAAAAA/NCUAhGxNAAAAAAC8yNgA0trlAAAAAAAAAAAAAAAAAAAAAADs8PUArLvPAAAAAAAXEw0ArI1lAAAAAADl6vAAWnefAP7//wADAwIAbVlAAAAAAAD7/P0AsL7RAPj6/AAAAAAAs5JoABAOCgAAAAAAy9ThAO779gAAAAAAZVM7ACQeFQAAAAAAZIClAPL1+AAAAAAAWUk0ADguIQAAAAAAeZGxAOru9AAAAAAAAAAAAAAAAAAAAAAA0NjkAK690AAAAAAADwwJADctIAAAAAAALiUbAMfR3wDx9PcAYX6jAAcFBAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA+Pr7AP//AAAAAAAALCMZAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAEAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAXk43AM3X4gDf5e0A/f7+APf5/gAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAEBAABVRTIAKSIYAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAFJDMADH0t8A0trlAP7+/wD3+fsAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAQzcnADsxIwAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABEOCgCZfloAy9ThAOLn7gD5+/wAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA8MCAAqIhkAKSIYAAEBAQAAAAAAAAAAACYfFwBTRDAAAAAAACQeFgAAAAAAAAAAAAAAAAAAAAAAAAAAAO3x9QCsu88AAAAAAOvv8wBTRDAAAAAAAA4LCAAAAAAAAAAAAAsJBwBSRDAA////AAEAAQCsu88AAAAAAPr7/ABEOCgABwYEAAAAAAAGBgQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABDNycALCQZAAAAAADc4usA5OnwAAAAAADm6/EAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAKCQYAj3VTAM3W4wDf5ewA9/n7AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAMCgcAJyAXAC0lGgABAQEAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQcFAD4zJAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAzKh4AMyoeAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAADo7PIAkaW/AAAAAAALCQYAuJdsAAAAAAAAAAAAAAAAAAAAAAAQDQkAb1tBAAAAAAD8/P0AQWSRAAAAAAAAAAAApohhAB0YEQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAWUk0AAAAAAAAAAAAdI2uAMnT4AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAYFBAA5LyEAOS8hAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAALnG1gDu8fUAAAAAADguIQAhGxQAAAAAAMPO3ADk6e8AAAAAAAAAAAAAAAAAAAAAAP7/AAACAQAAAAAAACYfFwAzKh4AAAAAANbe5wDR2eQAAAAAAB0XEQA8MiQAAAAAAP///wAAAAAAAAAAAAAAAAAAAAAAAAAAAPv8/QCnt8sAAAAAAAoIBwBPQS4AAAAAAPP1+AC0wtQAAAD/AP7/AAAzKh4AAAAAAP39/gC2xNUADgsHAAAAAAAAAAAAAAAAAAAAAAAeGRIAIRwUAAAAAADAzNsAy9XgAAAAAAD//wAAAQEAAAAAAAAMCgcAMyoeAAAAAAAAAAAAAAAAAAAAAADd5OwAp7fLAAAAAADa4ekAAAAAAAAAAADT2+UAp7fLAAAAAAAeGRIAOzAjAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAADk6fAAw87bAAAAAAAMCggATT8tAAAAAAAAAAAAAAAAAAAAAADy9PgAtcPTAAAAAAAdFxIAPDIjAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACtu9AA19/oAAAAAAARDgsAIRsUAAAAAAC5xdYAwc3cAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABTRDAAMyoeAAAAAADR2eQAlqnDAAAAAAA/NCUAPDIkAAAAAAABAQEAAAAAAAAAAAAAAAAAAAAAAAAAAAD6+/0AlqnDAAAAAAAXEw0AT0EuAAAAAADy9fgAmKrDAP7//wADAwIAwJ1wAAAAAAD09vkAUXCZAPj6/AAAAAAAAAAAAAAAAAAAAAAAk3hVADAoHQAAAAAAYH2iAN3j7AAAAAAAAAAAAAAAAAAAAAAAi3JRADguIQAAAAAAAAAAAAAAAAAAAAAAiJ66AJapwwAAAAAAAAAAAAAAAAAAAAAAytThAMrU4QAAAAAAQzcnADswIwAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA4ObtAJapwwAAAAAAGxYQAE0/LQAAAAAAAAAAAAAAAAAAAAAA8fT3AJapwwAAAAAAPzQlADwyIwAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAMbR3gD6+vwAAAAAAC8nHAARDgoAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABcTDQAoIRgAAAAAAAkHBgDAy9oAAAAAAN3j7AAAAAAAAAAAAOvv9ADAy9oAAAAAAOHn7gA/NCUAAAAAAPL09wDP2OQAAAAAAAMDAgA8MSMAAAAAAAgGBADAy9oAAAAAAO7y9gD/AP8AAAAAAP///wDAy9oAAAAAAPj6/AAzKx8ABAMCAAAAAADG0N4A+/z9AAAAAAAAAAAAAAAAAAAAAAA0Kh8AHBcRAAAAAAAAAAAAAAAAAAAAAADl6fAAwMvaAAAAAAAjHRUAHRgRAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAgGhIAHxoTAAAAAAAMCQcAwMvaAAAAAAAaFg8AJh8XAAAAAAAAAAAAAAAAAAAAAAATEAsAPzQlAAAAAAATDwsAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACKn7sA7fD1AAAAAACPdVMANCsfAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAwJxwAfGZJAAAAAACsu88AfZW0AAAAAAAAAAAAAAAAAAAAAADW3ecAfZW0AAAAAAAfGRIApIdgAAAAAADU3OYAaYSoAAAAAAAIBgQAhGxNAAAAAADo7PIAVXScAAAAAAAAAAAAAAAAAAAAAAD+/v8AfZW0AAAAAAAAAAAApohhAB0YEQAAAAAATG2XAPHz9wAAAAAAAAAAAAAAAAAAAAAAbFk/AAAAAAAAAAAAAAAAAAAAAAAAAAAAdI2uAMnT4AAAAAAAa1c+AFhJNAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAQzcoAGBPOAAAAAAApLTKAH2VtAAAAAAAT0EuAHRfFwAAAAAAAAAAAAAAAAAAAAAAKSEYAIRsTQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA2jqjbQAAIABJREFUAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAM7X4wDw8/cAAAAAAAQEAgAfGRIAAAAAAAsJBgAAAAAAAAAAABUSDQAfGRIAAAAAAO/z9gDy9PgAAAAAAOfs8gC8yNgAAAAAAOfr8QAfGRIAAAAAAPL1+ADv8vYAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAPz9/gC8yNgAAAAAAPT3+QAfGRIAAAAAAPz9/QDl6vEAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAADN1uMA7PD1AAAAAAA3LSAADQsIAAAAAAAAAAAAAAAAAAAAAAAXEw0AHxkSAAAAAADl6vAAvMjYAAAAAAD5+vwAHxkSAAAAAAAAAAAAAAAAAAAAAADt8fUAvMjYAAAAAADn7PEAHxkSAAAAAAATDwsAAAAAAAAAAADm6/EA1t3nAAAAAAAVEQwALyccAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAD+/v8AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACjtMoAAAAAAAAAAABvW0AAVEUyAAAAAAAAAAAAAAAAAAAAAABvW0EAAAAAAAAAAACYq8MApbXLAAAAAADS2uUA0trlAAAAAABTRDAApIdgAAAAAACnt8sAlqnDAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAD5+vwAgZi2AAAAAAAXEw0ArI1lAAAAAADl6vAAWnefAP7//wAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAoLLIAAAAAAAAAAAAn4JdAA0LCAAAAAAAAAAAAAAAAAAAAAAAdWBFAAAAAAAAAAAAeZGxAIGYtgAAAAAAd2FFAH9oSgAAAAAAAAAAAAAAAAAAAAAAnK7FAIGYtgAAAAAAQzcnAKSHYAAAAAAAAAAAAAAAAAAAAAAA09vlAISauAAAAAAAOzAiAC8nHAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAgIBAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAOLn7gDy9fgAAAAAAAMCAgArIxkAAAAAAAAAAAAAAAAAAAAAABkUDwAAAAAAAAAAABMQDAArIxkAAAAAAPL1+ADj6O8AAAAAAAAAAAAAAAAAAAAAAAoIBgArIxkAAAAAAPb4+gDf5e0AAAAAAPv8/QDU3OYAAAAAAOvv9AApIhgAAAAAAP8AAADW3ecAAAAAAAAAAADb4uoA8fT3AAAAAAAlHhUA9/j7AAAAAADZ4OkA/P3+AAAAAAAAAAAAAAAAAAAAAADd4+sA9/n7AAAAAAAAAAAAAAAAAAAAAADz9fgAAAAAAAAAAADl6vEA1NzmAAAAAAATEAsAGRQPAAAAAAAAAAAAAAAAAAAAAADx8/cA1NzmAAAAAAASDgoAGhYQAAAAAAAQDQkAKyMZAAAAAAAeGRIAAAAAAAAAAAAAAAAAAAAAAAAAAAD3+PoA3eTsAAAAAADq7vMAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACarMQAwc3cAAAAAABnVDwAmH1ZAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABGOSkARjkpAAAAAADAy9oAfZW0AAAAAAAAAAAAAAAAAAAAAAAiHBQAmH1ZAAAAAADR2uUAbIapAAAAAADu8fYAaYSoAAAAAAAAAAAAupltAAkHBQD8/P0AQWSRAAAAAAAAAAAAf5a1AAAAAAAAAAAAs5JoABAOCgAAAAAAT26YAO7y9gAAAAAAAAAAAAAAAAAAAAAAh526ANng6QAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAApLXKAKS1ygAAAAAAV0czAGxZPwAAAAAAAAAAAAAAAAAAAAAAzNbiAMzW4gAAAAAAT0EuAHRfRAAAAAAANy0hADctIQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA4efuAGmEqAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAgHBQADAgEAAAAAAOjs8wDR2uUAAAAAAB4YEQARDgoAAAAAAAcHBQALCQYAAAAAAO3x9QDR2uUAAAAAAP///wABAQEAAAAAAAAAAAAAAAAAAAAAAA0KBwAiHBQAAAAAAAQDAwALCQYAAAAAAAABAADR2uUAAAAAAAsIBgAkHhUAAAAAAAMCAQALCQYAAAAAAAAAAAAAAAAAAAAAAAAAAAABAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAKCAUAAQEBAAAAAAAAAQEAAAAAAAAAAAAKCQYA+fv8AAAAAAACAgEAAAAAAAAAAAD+/v4AAAAAAAAAAAAIBgQAAwMCAAAAAAD4+fwA/f7+AAAAAAAHBQQABAQCAAAAAADw8/YA0drlAAAAAADq7fMAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAADu8fUA4+nwAAAAAAAPCwgAIBsTAAAAAADz9fgA3uXtAAAAAADk6e8ACwkGAAAAAAD+//8A9/j7AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACHbk4ANCsfAAAAAABmgaYAqbnNAAAAAAB7ZUgASDsqAAAAAAB9ZkkAAAAAAAAAAACYq8MAbIapAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAzKh4AkHZUAAAAAAA8MiMAuJdsAAAAAAC8yNgAbIapAAAAAAArIxkAmH1ZAAAAAAAsJBoAuJdsAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAnIBcAB0YEQAAAAAAAAAAAAAAAAAAAAAAp4liAAAAAAAAAAAAAAAAAAAAAAAAAAAAAgICAAAAAAAAAAAAg2xNADguIQAAAAAAeZGxAMTP3QAAAAAAcFxBAEw/LQAAAAAAj6O+AGyGqQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAy9XhAISauAAAAAAAOzAiAIhwUAAAAAAA2+LrAG+JqwAAAAAAJyAXALiXbAAAAAAA4+jvAFp4nwAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAO7y9gDo7PIAAAAAAPv8/QAAAAAAAAAAAAAAAAAAAAAAAAAAAO/y9gD5+vwAAAAAAPX3+gAAAAAAAAAAAAgHBQAPDAgAAAAAAAAAAAAAAAAAAAAAAAcFAwDo7PIAAAAAAAAAAAAAAAAAAAAAAPT3+QAXEw0AAAAAABMPCwAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAADq7vMA/v7/AAAAAAATEAsABQQDAAAAAAATDwsAFxMNAAAAAAAHBQQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAANCwgAFxMNAAAAAAD09vkA9ff6AAAAAAAAAAAAAAAAAAAAAAD2+PoA6OzyAAAAAAD3+PsAFxMNAAAAAAAJCAYA6OzyAAAAAADu8fUAAAAAAAAAAAD7/P0A6OzyAAAAAADs8PQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACDmbcAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACNobwAwc3cAAAAAAAAAAAAAAAAAAAAAAA/MyQAfGZJAAAAAAAAAAAAAAAAAAAAAACnt8sAVXScAAAAAAAAAAAAAAAAAAAAAAAfGRIArI1lAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAZYClAO7y9gAAAAAAn4JdACQeFQAAAAAAiXFQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAZFI6AGRSOgAAAAAAnK7FAKGyyQAAAAAAAAAAAAAAAAAAAAAAu8fYALvH2AAAAAAALycbAKyNZQAAAAAAxM/dAFV0nAAAAAAAAAAAAAAAAAAAAAAA3uTsAFV0nAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAO/y9gDl6vAAAAAAAPf5+wAAAAAAAAAAAAAAAAAAAAAAAAAAAPb4+gDl6vAAAAAAAAAAAAAAAAAAAAAAAPHz+AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAPr7/ADr7/QAAAAAAAEBAQAaFQ8AAAAAAAAAAAAAAAAAAAAAAPv8/QDq7vMAAAAAAPz9/gAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAADn6/EA/v//AAAAAAD9/v8AAAAAAAAAAADq7vMACQgFAAAAAAD///8AAQEBAAAAAAAAAAAAAAAAAAAAAAD4+vsAAAAAAAAAAAAAAAAAAAAAAAAAAADv8vYA9vj6AAAAAADz9fkAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAD6+vwA5erwAAAAAADt8PUAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH/////AAAAAAAAAAAAAAAAAAAAAAAAAAD4+fsA/wAAAAAAAAAAAAAAAAAAAAAAAABth6oA2eDpAAAAAAABAQAAAQABAAAAAABWRzIAYlE6AAAAAAAAAAAAAAAAAAAAAACXqsIAsb7SAAAAAAAAAAAAAAAAAAAAAAD///8A/wAAAAAAAAAAAAAAAAAAAAAAAAAfGRIApIdgAAAAAADU3OYAa4WpAAAAAAALCgYAtpVrAAAAAAAAAAAAAAAAAAAAAADl6vAAXHmgAP7+/wADAwIAtZVqAAAAAAAAAAAABwYEAAIBAQAAAAAATm6YAPHz9wAAAAAAi3JRAC0mGwAAAAAAaoSoAN7k7AAAAAAA/wAAAAEAAAAAAAAAAAAAAAAAAAAAAAAAZVM7AFNFMQAAAAAABQQDAAQDAgAAAAAAkKS+AK+90QAAAAAA////AP8AAAAAAAAAQDUlAHpkSAAAAAAAAAAAAAAAAAAAAAAAvcnYAIufvAAAAAAA/wD/AP//AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAPzQlAIRsTQAAAAAAAAAAAAAAAAAAAAAAAAAAAAEBAQEEAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACAcFAAAAAAAAAAAAAAAAAAAAAAAAAAAAAgEBAAAAAAAAAAAA//8AAP8A/wAAAAAAAwICAAkHBQAAAAAAAAAAAAAAAAAAAAAAAwICAP7//wAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAP7//wAAAAAA/v7/AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAP7+/wD+//8AAf//AAkHBQAAAAAAAAAAAAAAAAAAAAAAAAAAAP7//wD+//8AAAAAAAYFAwAJBwUAAAAAAP8A/wD+//8AAAAAAAAAAAD/AAAAAAAAAAAAAAAAAAAAAAAAAAQDAgAJBwUAAAAAAAAAAAAAAAAAAAAAAP//AAD+//8AAAAAAAAAAAAAAAAAAAAAAAMCAgAJBwUAAAAAAAAAAAAAAAAAAAAAAAUEAwD+//8AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAMDAQADAwIAAAAAAP7+/gD//wAAAAAAAP7//wD8/P0AAAAAAAAAAAAAAAAAAAAAAAAAAAADAwIAAAAAAP/+/wD+//8AAAAAAAAAAAAAAAAAAAAAAAEBAAACAgIAAAAAAAICAQD8/P0AAAAAAP7+/wADAwIAAAAAAAQDAgAAAAAAAAAAAP///wD9/f4AAAAAAPz9/gAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAEAwIAAwMCAAAAAAD9/v8A/Pz9AAAAAAAA/wAAAAAAAAAAAAACAgEAAQEBAAAAAAD+/f4A/wAAAAAAAAD+//8A/Pz9AAAAAAACAgIAAgIBAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAD///8A/Pz9AAAAAAABAgEAAwICAAAAAAABAQEAAwMCAAAAAAD///8A/v7/AAAAAAAAAAAAAwMCAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAADAgEAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH/////AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACEmrcAucbXAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABHOikAfGZJAAAAAACsu88AkaW/AAAAAAAAAAAAAAAAAAAAAAA/NCUAhGxNAAAAAAC8yNgAgZi2AAAAAAArIxkAmH1ZAAAAAAAAAAAAAAAAAAAAAADo7PIAVXScAAAAAAAAAAAAAAAAAAAAAAADAwIAwJ1wAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAT26YAO7y9gAAAAAAAAAAAAAAAAAAAAAAf2hKAEQ4KAAAAAAAdI2uAMnT4AAAAAAAAAAAAAAAAAAAAAAAd2FFAEw/LQAAAAAAj6O+AK690AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAT0EuAHRfRAAAAAAAAAAAAAAAAAAAAAAAxM/dAHmRsQAAAAAAGxYQAKiKYgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAEBAQECAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACM84XOAAAgAElEQVQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAPX3+gD///8AAAAAAAAAAAAAAAAAAAAAAAcGBAAFBAMAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAPz9/gD09vkAAAAAAPr7/AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAP7+/wD09vkAAAAAAAAA/wAAAAEAAAAAAPb4+gAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAD4+vsA9Pb5AAAAAAD9/v4AAAAAAAAAAAAAAAAAAAAAAAAAAAD5+/wA9Pb5AAAAAAD7/P0AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAD7/P0A+fr8AAAAAAD4+fsAAAAAAAAAAAAAAAAAAAAAAAAAAAD9/v4A9/j7AAAAAAABAQAACwkHAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABjf6MA7fD1AAAAAAAAAAAAAAAAAAAAAABqWD8AUUIvAAAAAABqVz4AX044AAAAAACPpL4Ay9ThAAAAAABYSDMATkAuAAAAAACltcsAUXCZAAAAAAD8/f4AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAD/AAAAAAAAAAAAAADY4OkAUXCZAAAAAAD//wAAAQEAAAAAAAATEAwApohhAAAAAADq7vMAcYutAP///wAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAl31ZAP39/gAAAAAAeJGwAOLn7wAAAAAAjqK+AJGkvwAAAAAA+vv9AAAAAAAAAAAAW0s1AEs9LAAAAAAAn7HHAJiqwwAAAAAA+/z9AAAAAAAAAAAAVUUxAFFDMAAAAAAAssDSAKi4zQAAAAAAAAAAAAAAAAAAAAAAwMzbAIqeugAAAAAA/f7/AAAAAAAAAAAAAAAAAAAAAAAAAAAA3OLrAGyGqQAAAAAABwYFALSUaQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAEAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA+Pr8APj6/AAAAAAAAAAAAAAAAAAAAAAA/f39AAAAAAAAAAAAEg8LABIPCwAAAAAACgcFAAAAAAAAAAAADwwJAB0YEQAAAAAACQgFAPj6/AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAQAAAAAAAAAAAAAA////APj6/AAAAAAAAAAAAAAAAAAAAAAA/P39AB0YEQAAAAAAAgIBAAEAAAD/AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABoVDwAAAAAAAAAAAAUEAwAAAAAAAAAAAPv8/QD7AAAAAAAAAAAAAAAAAAAAAAAAABAMCQAdGBEAAAAAAAYFBAD4+vwAAAAAAAAAAAAAAAAAAAAAAA4MCQAdGBEAAAAAAA8MCQAAAAAAAAAAAAAAAAAAAAAAAAAAAP7+/gD4+vwAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAP///wD4+vwAAAAAAP8AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH/////AAAAAAAAAAAAAAAAAAAAAAAAAABQcJkA7fD1AAAAAACDa0wAMCccAAAAAAAJCAUABwYFAAAAAAAAAAAAAAAAAAAAAAB8k7IAwc3cAAAAAAAIBgQABwcFAAAAAAA5LiEAa1c+AAAAAAAAAAAAAAAAAAAAAACuvdAAn7HIAAAAAAAFBAMACgkGAAAAAAAYEw4AjHJRAAAAAADX3+kAdo+vAAAAAAAKCAYAqYpiAAAAAAABAgEADwwJAAAAAADl6vAAWnefAP7//wAAAAAADw0JAAAAAAAAAAAAmn1ZABoWEAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA8vX4AP79/gAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAjaK9AM/Z5AAAAAAAZFE6AEA0JQAAAAAAAAAAAAAAAAAAAAAArLzQALC/0QAAAAAA+fn7APj6/AAAAAAAT0EuAHRfRAAAAAAA+vv8APb3+gAAAAAAydPgAISbuAAAAAAAAgEBAA0MCAAAAAAAIhsTAIJqTAAAAAAA5uzxAHaPsAAAAAAAOzAiAHljRwAAAAAAAAAAAAAAAAAAAAAAAAAAAAEBAQEEAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAADAoHABAOCgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA+Pr8APj6/AAAAAAA////ABAOCgAAAAAAAAAAAAAAAAAAAAAACQgFAAAAAAAAAAAA+/z9APHz9wAAAAAAEAwJABAOCgAAAAAADQsHAAAAAAAAAAAAAQEAABAOCgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAPHz9wAAAAAAAAAAAP3+/wAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA4LCAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAPz9/gDx8/cAAAAAAAQDAgAQDgoAAAAAAAAAAAAAAAAAAAAAAAAA/wDx8/cAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAYFBAAGBQQAAAAAAAsKBwAAAAAAAAAAAP7//wDx8/cAAAAAAPb4+wAQDgoAAAAAAPP2+QDx8/cAAAAAAPX3+gAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH/////AAAAAAAAAAAAAAAAAAAAAAAAAABQcJkA7fD1AAAAAAANCgcABQQDAAAAAAD9//8AAwEBAAAAAABvXEEAQjYnAAAAAADf5ewA8fP3AAAAAACywNMAu8jYAAAAAAAGBQMADAkHAAAAAAAAAAAAAAAAAAAAAAD3+fsA9/n7AAAAAAAvJxwAZFE5AAAAAADQ2eQAr73RAAAAAAAdGBEAZFI6AAAAAAACAgIALiYbAAAAAAAAAAAAAAAAAAAAAAD5+vwA19/oAAD//wD9/v8AcIqsAAAAAAAAAAAApohhAB0YEQAAAAAAXXqhAPL09wAAAAAA/v//AAIBAQAAAAAAAAAAAAAAAAAAAAAAc19EAD4zJAAAAAAAgZi2AM7W4gAAAAAARDgoAD0yIwAAAAAAHRgSABMQCwAAAAAAmKvDALfD1QAAAAAA9vn7APj5+wAAAAAAMikdAGFPOAAAAAAAExAMAB0YEQAAAAAAv8rZAJCkvwAAAAAAJyEXAFpJNAAAAAAA2uLrAJOmwAAAAAAAAwMCAA8LCAAAAAAA/P7+APL0+AAAAAAAPzQlAIRsTQAAAAAAAAAAAAAAAAAAAAAAAAAAAAEBAQEEAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA8/b5AAAAAAAAAAAAAAAAAAAAAAAAAAAA+vv9AAAAAAAAAAAAIRsUAAAAAAAAAAAAyNPgAAAAAAAAAAAA+vv9AO779gAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAEA0JADAoHQAAAAAA7PD1AO7y9gAAAAAAGRUPADAoHQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABwYEADAnHAAAAAAA/Pz9AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAO/z9gDx8/cAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAPr7/AAAAAAAAAAAAPP1+ADu8vYAAAAAABURDAAwKB0AAAAAAAAAAAAAAAAAAAAAAPf4+wDu8vYAAAAAAAAAAAAAAAAAAAAAABEOCgAwKB0AAAAAAAAAAAAAAAAAAAAAAPr8/QDu8vYAAAAAAAIBAQAwKB0AAAAAAP7/AAAAAAAAAAAAAP39/gDu8vYAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACPdVQA/f3+AAAAAAAAAAAAAAAAAAAAAACCmbYA3+XtAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA6LyIAZVM7AAAAAAAAAAAAAAAAAAAAAAC3xdUAqrnOAAAAAAAAAAAAAAAAAAAAAAA3LSAAn4JdAAAAAADk6e8AYH2iAAAAAAAKCAYAlntYAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAeJGwAAUEAwAAAAAA8/X4AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAmKvDAKS1ygAAAAAA5+vyAAAAAAAAAAAAqLnNALjG1gAAAAAAYlA5AD4zJQAAAAAAXEs1AE0/LQAAAAAArr3QALPB0wAAAAAAydPgAGB9ogAAAAAAQTUmAF9OOAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAKCEXAJ+CXQAAAAAAAAAAAAAAAAAAAAAA6O3yAHmRsQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAEAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAIRsTAAAAAAAAAAAAAAAAAAAAAAAAAAAACAYFAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAADQsHACQeFQAAAAAAAAAAAAAAAAAAAAAAFNULAAAAAAAAAAAAAAAAAAAAAAAAAAAADQsIAA0LCAAAAAAA+Pr7AN3j7AAAAAAACwkGAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAOLn7wAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAOnt8wDp7fMAAAAAAAAAAAAAAAAAAAAAAO3w9QDt8PUAAAAAAPL0+AAAAAAAAAAAABUSDQAVEg0AAAAAABIPCgAAAAAAAAAAAPT2+QD09vkAAAAAACwkGgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAoIBgAkHhUAAAAAAAAAAAAAAAAAAAAAAAcGBAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAB0ja4A8PP3AAAAAAByXkIAKiIZAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAADH0d8AZIClAAAAAAAAAAAAAAAAAAAAAADu8fUAAAAAAAAAAADN1uIAZIClAAAAAAD+/v4AAgICAAAAAAD3+foAAAAAAAAAAAD3+PsAZIClAAAAAAATDwsAiXFQAAAAAADp7fMAfZSzAP7//wD///8AAAAAAAAAAAAAAAAAbFk/ABMPCwAAAAAAi6C8APb4+gAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAUkMwAC0lGgAAAAAApbXLANzj6wAAAAAARTkoADovIgAAAAAAytThALC/0gAAAAAARjkoAFZHMwAAAAAAAAAAAAAAAAAAAAAAKyQZAFREMQAAAAAAGxcQAAAAAAAAAAAALiUbAH9oSgAAAAAA5erwAGSApQAAAAAAFhINAIZuTgAAAAAAAAAAAAAAAAAAAAAA/v//AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAEAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA3OPrAO3w9QAAAAAA9vf6AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA8vX4APL1+AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA9Pb5ANng6QAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA/v//ANng6QAAAAAAFxMNAAAAAAAAAAAA/P39ANng6QD+//8AAAAAAAAAAAAAAAAAAAAAADovIgAdGBEAAAAAAJClvwAA+AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAC0lGgBEOCgAAAAAALjF1gDc4+sAAAAAACYeFgBEOCgAAAAAAMzW4gDZ4OkAAAAAADAnHAAAAAAAAAAAAAAAAAAAAAAAAAAAABgTDgBEOCgAAAAAAAAAAAAAAAAAAAAAABkVDwAZFQ8AAAAAAMTP3QCcrsYAAAAAAPT2+QAAAAAAAAAAAAAAAAAAAAAAAAAAAAIBAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAB9ZkkA+/z9AAAAAAC+ytoAqLjNAAAAAAAyKR0AYlE5AAAAAAAjHRQAAAAAAAAAAAAAAAAAAAAAAAAAAABKPCsAMCccAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAADAzNsAtcLUAAAAAAAAAAAAAAAAAAAAAAAWEg0AdWBEAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAD29/oAdI2uAAAAAAD5+vwA/v//AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAgGhLAPz9/QAAAAAAgZi2APT2+QAAAAAAcV1CABoVDwAAAAAAtcLUALjF1gAAAAAA2ODpAAAAAAAAAAAAs8LTAMzW4gAAAAAA3uTsAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAx9HeAK280AAAAAAAIhwUAGpXPgAAAAAAKiIZAItyUQAAAAAACAYFAAAAAAAAAAAA4+jvAJGlvwAAAAAA/v7/AItyUQAAAAAAEg8LAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAEAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAMyoeAAAAAAAAAAAAqLjNAM3W4gAAAAAAOC4gADguIQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAHhkSAB4ZEgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA3+XsAAAAAAAAAAAAAAAAAAAAAAAAAAAACQcFADguIQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA6OzyAH+XtQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAADQrHgAAAAAAAAAAAAYEAwAAAAAAAAAAAC4lGwAkHhUAAAAAAJyuxgDZ4OkAAAAAAAAAAAAAAAAAAAAAAOLn7wDi5+8AAAAAAAAAAAAAAAAAAO+Cm2AAACAASURBVAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAOnt8wDJ0+AAAAAAAPj6+wAAAAAAAAAAABIPCgA4LiEAAAAAAAAAAAAAAAAAAAAAAPX3+QDJ0+AAAAAAAAcGBACOdVMAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAfpKBbUCAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAIeduQDy9PgAAAAAACsjGQA4LSAAAAAAAC4mGwAAAAAAAAAAAAAAAAAAAAAAAAAAAKS1ygDV3OcAAAAAAAAAAAAAAAAAAAAAAP7+/wACAgEAAAAAAAAAAAAAAAAAAAAAAOTp8AAAAAAAAAAAACIcFABJOyoAAAAAAA4MCAAAAAAAAAAAAAAAAAAAAAAAAAAAAN/l7ACarMUAAAAAAPn6/AAAAAAAAAAAAAAAAABmVDwABQMCAP7//wCXqsMAAAAAAAAAAACOor0ACAcFAAAAAAAAAAAAAAAAAAAAAABEOCgAFREMAAAAAACmtssA9/n7AAAAAADk6e8AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABBNSYAKiIYAAAAAAAnIRcAAAAAAAAAAAA3LSAADAkHAAAAAADi6O8AeZGxAAAAAADo7PIAAAAAAAAAAADf5e0AeZGxAAAAAAApIhgAXk03AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAD7+/0AeZGxAAAAAAAsJBoAW0s1AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAADJ0+AA7fD1AAAAAABTRDAANCsfAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAADY3ugAxM/dAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAdGBEAWEk0AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAADy9fkAxM/dAAAAAAAAAAAAAAAAAAAAAAAAAAAAVEUxAAkHBQD8/P0Al6rDAAAAAAAAAAAAzNbiAAAAAAAAAAAAAAAAAAAAAAAAAAAAk3hVADAoHQAAAAAAYH2iAN3j7AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAANiwfAEw/LQAAAAAAAAAAAAAAAAAAAAAALSUbAC0lGwAAAAAApLTKALPB0wAAAAAAAAAAAAAAAAAAAAAA8vT4AMTP3QAAAAAA////AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA/v//AMTP3QAAAAAAAwMCAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAGxYPwD4+fsAAAAAAMjS4AC8ydkAAAAAAEQ3KAA0Kx4AAAAAALTC0wDU3OcAAAAAABEOCgB3YUUAAAAAAMHN2wDI0uAAAAAAACsjGQBMPiwAAAAAAM3X4gC8yNkAAAAAAB8ZEgBYSDMAAAAAABgVDwAAAAAAAAAAANbe5wCywNMAAAAAABsWDwBdTDcAAAAAAB0XEAB3YUUAAAAAAAAAAAAAAAAAAAAAAPDz9wCPo74AAgIBAP/+/wAAAAAAAAAAAAAAAABmUzsAEQ4KAAAAAACSp8AA9/j7AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAC3xNYA1N3nAAAAAAA2Kx8AQjcnAAAAAADDztwAxdDeAAAAAAAGBAMAd2FFAAAAAADP2OQAusfXAAAAAAAdFxEAWko0AAAAAADy9fgAiJ66AAAAAAARDQoAZ1U8AAAAAAAAAAAAAAAAAAAAAAAEAwIAc15DAAAAAAAZFQ8AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABEOCgAAAAAAAAAAABwiqwAzdbiAAAAAAAkHRQANCseAAAAAADQ2OQAucbXAAAAAABbSjUATD8tAAAAAADk6vAAyNLgAAAAAAAcFxAATD8tAAAAAAD4+vwAvMjZAAAAAAAUEQwATD8tAAAAAAAAAAAAAAAAAAAAAADm6vEAtcLUAAAAAAArIxkAXUw3AAAAAAASDwsATD8tAAAAAAAAAAAAAAAAAAAAAADl6vAAWnefAP7//wAAAAAAAAAAAAAAAAAAAAAAQDUmAB0YEQAAAAAAmKzEAPf4+wAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA0tvlANLb5QAAAAAADAkHAEI3JwAAAAAA2eDpALXC1AAAAAAAQzcnAEw/LQAAAAAA/P3+ALrH1wAAAAAAEhAKAEw/LQAAAAAAxM/dAJeqwwAAAAAAGxYQAGdVPAAAAAAAAAAAAAAAAAAAAAAAAwMCAEw/LQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAf////8AAAAAAAAAAAAAAAAAAAAAAAAAAJqsxAD19/oAAAAAAAMDAgACAQEAAAAAAOru8wARDgoAAAAAAMzV4QDi6O8AAAAAACYfFgAsJBoAAAAAANTc5gDa4eoAAAAAAB4YEQA0Kx8AAAAAANzj6wDS2uUAAAAAABURDAA9MiQAAAAAAAAAAAAAAAAAAAAAAPH09wAUEAwAAAAAAP///wD8/f4AAAAAAP3+/gADAgIAAAAAAAAAAAAAAAAAAAAAAPT3+QAOCwgAAwICAAAAAAAAAAAAAAAAAAAAAABcTDUAEA0KAAAAAABMbZcA8fP3AAAAAAA9MiQAFREMAAAAAAAEAwIAAQEBAAAAAAC6x9cA7/L2AAAAAAA+MyQAGRQPAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAADy9fgACQcFAAAAAADW3ecA2ODpAAAAAAAcFxAANiwgAAAAAADe5OwA0NnkAAAAAAAUEAsAPjMlAAAAAADm6/EAyNLfAAAAAAAbFhAAqIpiAAAAAADY3+gAZYGmAAAAAAADAgEAT0EvAAAAAAAlHhUATD8tAAAAAAAAAAAAAAAAAAAAAAAAAAAAAQEBAQQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAC2xNUA7fD1AAAAAACPdVMANCsfAAAAAABmgaYAv8vaAAAAAAAAAAAAAAAAAAAAAADa4eoA2uHqAAAAAAAAAAAAAAAAAAAAAADi6O8A4ujvAAAAAAAAAAAAAAAAAAAAAADr7/QArr3QAAAAAAAAAAAAAAAAAAAAAAAfGRIAgGlLAAAAAADU3OYAaYSoAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAupltAAkHBQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAw87cAAAAAAAAAAAAn4JdACQeFQAAAAAA0NnkAO/y9gAAAAAATT8tADguIQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAj6O+AK690AAAAAAAAAAAAAAAAAAAAAAA5OnwAOTp0AAAAAAAAAAAAAAAAAAAAAAA7PD1AK690AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA/f7/AK690AAAAAAAPzQlAEw/LQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAFpJNAD2+PsAAAAAABoWEAAAAAAAAAAAAE5BLQA6MCIAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAANPb5QDK1OEAAAAAACAaEgBDNygAAAAAAA8NCQAAAAAAAAAAAAAAAAAAAAAAAAAAAAUEAwBeTTcAAAAAAPT2+QCpuc0AAAAAAAAAAAAAAAAAAAAAAP7+/gCesMcAAAAAAAAAAAAAAAAAAAAAAAAAAAD4+fsAAAAAAAAAAABKPSsAGRQPAAAAAADBzdsAwMzaAAAAAADs7/QAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAyKR0AMSgdAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAADc4+sAwczbAAAAAAAeGBEARTkpAAAAAAANCwgAAAAAAAAAAAAUEQwAY1E6AAAAAADx9PcArLvPAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABWRzMAAAAAAAAAAAAAAAAAAAAAAAAAAABMPi0AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACnt8sAytThAAAAAAAfGhMAYE84AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAGBQMAYE84AAAAAADo7PIAqbnNAAAAAAAAAAAAAAAAAAAAAAD+/v8AobLJAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAASTsqADAoHQAAAAAAYH2iAN3j7AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAMSgdAGBPOAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAucbWAMHM2wAAAAAAHRgRAGBPOAAAAAAAAAAAAAAAAAAAAAAAFBAMAGBPOAAAAAAA4+jvAKy7zwAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAADd4+sAs8HTANzj6wD4+fwAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAQAAABEPCgAuJRsAUkMwAAoJBgAAAAAAAAAAAB4ZEgBDNycAAAAAACoiGAAAAAAAAAAAAAAAAAAAAAAAAAAAAA8MCQBDNycAAAAAAPb4+gCktMoAAAAAAPP2+AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA5LyEACggGAAAAAAAAAAAAAAAAAAAAAADBzdwA1NznAAAAAAAnHxcAIBoTAAAAAAAAAAAAAAAAAAAAAADS2uUA3OLrAAAAAAAyKh0AKiIZAAAAAADH0d8A3ePrAAAAAADY3+gAAAAAAAAAAAAAAAAAAAAAAAAAAADT2+YA0dnkAAAAAAAlHxYANy0gAAAAAAD+/v8AAAAAAAAAAADk6fAApLTKAAAAAAANCwcAT0EvAAAAAADt8PUAt8TVAAAAAADw8/cAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAADZ4OkAbIeqAPj5+wAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAx9HfAMfS3wCPdVMABgUEAAAAAAA7MCMAOzAjAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAdGBEAgGlLAAAAAADR2uUAbIapAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAbVlAAB0YEQAAAAAAAAAAAAAAAAAAAAAAT26YAO7y9gAAAAAAn4JdACQeFQAAAAAAAAAAAAAAAAAAAAAAdI2uAMnT4AAAAAAAa1c+ACoiGQAAAAAAwc3bALXC1AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA0dnkAJmsxAAAAAAAT0EuADctIAAAAAAAAgIBAAAAAAAAAAAA4efuAJmsxAAAAAAAGxYQAE9BLwAAAAAA6+/zAJmsxAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAEAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAqLjNAPj5+wAAAAAAIx0UABkUDwAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAD9/v4A1t3oAPH09wDS2uUAzdbjADkvIQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAANrh6QAAAAAALyYbAJN5VgABAQEAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAN7k7ABhfqMA/v7/AN/l7AA5LyEAAAAAANvi6gDV3OcAAAAAAAAAAAAAAAAAAAAAAA0LCABDNycAAAAAAO7x9QDCzdwAAAAAAOnu8wBPQS4AAAAAAAAAAAAAAAAAAAAAAAAAAAAEAwIAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAC2xNUA+vr8AAAAAAA0LB8ACQcFAAAAAAAODAgAAAAAAAAAAADAy9oA8PP3AAAAAAAiHBQAGBQOAAAAAAAkHhUAAAAAAAAAAAAxKBwABAMCAAAAAADS2uUA3+XtAAAAAAAAAAAAAAAAAAAAAAAlHxYAT0EuAAAAAAAvJhwAAAAAAAAAAAAAAAAAAAAAAAAAAAAYEw4ANy4gAAAAAAAQDQoAAAAAAAAAAAAQDQoAT0EuAAAAAAAAAAAAAAAAAAAAAAAmHxYAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAD19/oAAAAAACEbEwABAQEAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAWEg0ABwUEAPf5+wD3+fsAAAAAAAAAAADM1eEAlqnDAAAAAAAAAAAAAAAAAAAAAAAfGRIAQzcnAAAAAADm6/EAjaK9AAAAAAALCQYAuJdsAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAlqnCAPHz9wAAAAAAk3hVADAoHQAAAAAAAAAAAAAAAAAAAAAApLXLANngQd7ngAAAIABJREFU6QAAAAAAi3JRADguIQAAAAAAAAAAAAAAAAAAAAAARzoqAEc6KgAAAAAAj6O+AN/l7QAAAAAAAAAAAAAAAAAAAAAANy0gADctIAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAIx0UAHRfRAAAAAAAAAAAAAAAAAAAAAAAGBQOAHRfRAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAO3x9QCot8wA4+nvAAD/AAAAAAAAAAAAAAAAAAAFBAMANi0gAEw+LAABAQEAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAP//AAAAAAAAAAAAAA8MCQAgGxIAAAAAABgTDgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAADEz90AEg8KAAAAAAD7+/wAAAAAAAAAAADK1eEA6e7zAAAAAAA6LyIADQsIAAAAAAD///8AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAD+/v4AAAAAAAAAAADc4+sAucbWAAAAAAD+/v8AAgIBAAAAAAAAAAAAAAAAAAAAAADS2uUAAAAAAAAAAAAAAAAAAAAAAAAAAADt8PQAzNbiAAAAAAAOCwkAOS8hAAAAAAD09vkAxdDdAAAAAAAXEw4AMCccAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACarMQAtsPVAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAMDM2wAgGhIALSUbAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABAQAAAAAAAAAAAAAwKBwAhGxNAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAlqnCAAAAAAAAAAAAAAAAAAAAAAAAAAAAo7PKAAAAAAAAAAAAn4JdAA0LCAAAAAAAAQEBAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAgICAAAAAAAAAAAAwczbAMHM2wAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA4efvAISauAAAAAAAJyAXADkvIQAAAAAA7/L2AISauAAAAAAAPzQlADAnHAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA3+TtAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA5uvxAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAP7//wAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAP//AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABsWEAA7MCIAAAAAABURDADEz90AAAAAAAoHBQAyKh4AAAAAAAAAAAAAAAAAAAAAAP39/gDEz90AAAAAAAAAAAAAAAAAAAAAAAAAAAA5LiEAAwMCAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA2LCAABQQCAAAAAADK1OEA+/z9AAAAAADP2OMA6O3yAAAAAAD09vkAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAUEAwAJyAWAAAAAAAAAAAAAAAAAAAAAADr7/QA2uHqAAAAAAAAAAAAAAAAAAAAAAAPDAgAOzAiAAAAAAAcFxEAAAAAAAAAAAAJBwUAOzAiAAAAAAApIRcAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA+MyUAPjMlAAAAAADAy9oAeZGxAAAAAAAfGRIApIdgAAAAAAAAAAAAAAAAAAAAAAD4+vwAeZGxAAAAAAAAAAAAAAAAAAAAAAAAAAAAupltAAkDAgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAfWZIABAOCgAAAAAAT26YAO7y9gAAAAAAkqbAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAALycbAIBpSwAAAAAAAAAAAAAAAAAAAAAAucbWAISauAAAAAAAAAAAAAAAAAAAAAAAIx0VAIhwUAAAAAAAAAAAAAAAAAAAAAAAFBEMAIhwUAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAOjs8gDm6/EAAAAAAN/l7QAAAAAAAAAAAAAAAAAAAAAAAAAAAAYFBAAbFhAAAAAAAPr7/ADr7/QAAAAAAAAAAAAAAAAAAAAAAAAAAADR2eQABgUEAP7+/gAbFhAAAAAAAAAAAAAAAAAAAAAAAAAAAADU3ecACggGAAAAAAD6/P0AAAAAAAAAAAAWEg0ABQQDAAAAAADq7vMA+/z9AAAAAADc4+sABgUEAAAAAAAbFhAAFxMNAAAAAADh5+4A7fD1AAAAAAD3+fsAGxYQAAAAAADy9fcA8/X5AAAAAAAAAAAAAAAAAAAAAADr7/QA4+jvAAAAAADg5e0AAAAAAAAAAAAAAAAAAAAAAAAAAADy9PgA3OPrAAAAAAAKCAYAKCEXAAAAAAD3+fsA197oAAAAAAAQDQkAIhwUAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAEAwIAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAADAgEAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAC/y9kAlqnDAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAmHxYAqIpiAAAAAADR2uUAbIapAAAAAAAAAAAAAAAAAAAAAAAAAAAAdY6vAAAAAAADAwIAwJ1wAAAAAAAAAAAAAAAAAAAAAAAAAAAATG2XAPHz9wAAAAAAAAAAAAAAAAAAAAAAiXBQACQeFQAAAAAAZIClANng6QAAAAAAmavEAAAAAAAAAAAAa1c+AFhJNAAAAAAAp7fMALXC1AAAAAAAV0czAKiKYgAAAAAAnK7FAKGyyQAAAAAAAAAAAAAAAAAAAAAAxc/dAI2ivQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA3OPrAG+JqwAAAAAAJyAXAJyAWwAAAAAA7O/0AG+JqwAAAAAAPzQlAIRsTQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAALiYbAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAADAgEAIx0VAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAGNROgAkHRUA6+/0AAAA/wAAAAAAAAAAAAAAAAAEAwMAKiMYACEbEwAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABIOCwAnIBcAAAAAAAAAAAAAAAAAAAAAABkVDgAAAAAAAAAAAPf4+gDh5+4AAAAAAOTp7wAnIBcAAAAAAPv8/QDe5OwAAAAAAAAAAAAAAAAAAAAAAAD//wDY3+gAAAAAAAAAAAAAAAAAAAAAAAAAAAD9/f4AAAAAAAAAAAAdGBEACggGAAAAAAAHBgQAAAAAAAAAAAAgGhIAAAAAAAAAAADk6e8A9ff6AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAADu8vUA2N/oAAAAAADt8PUAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAJBwUAHhkSAAAAAAAcFxEAAAAAAAAAAAAKCAYAJyAXAAAAAAAYEw4A2N/oAAAAAADr7/QAJyAXAAAAAAAbFg8AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAHBgQARjopAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABHOyoARzsqAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAADd5OwAaYSoAAAAAAALCQYAuJdsAAAAAADo7PIAVXScAAAAAAAAAAAAAAAAAAAAAAD9/v8AZYGmAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAdmBEADAoHQAAAAAAAAAAAAAAAAAAAAAAfGZJAAAAAAAAAAAAdI2uAMnT4AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAu8fYALvH2AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAJiAWAJR5VwAAAAAAAAAAAAAAAAAAAAAAKCEXAJyAWwAAAAAA2N/oAGWBpgAAAAAABwYEALyabgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAQAAAAAAAAD+//8AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA////AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA8MCQDs8PUA09vmAPT2+QAIBwUAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAP//ANjf6QD4+vsAAAAAAAwKBwAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAIBAQAHBgQAAAAAAAQEAwDj6O8AAAAAAO3w9QAHBgQAAAAAAP///wD6+/0AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAADo7PIA+/z9AAAAAAD4+vsAAAAAAAAAAADw9PcA4+jvAAAAAAD19/kAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAD5+vwA4+jvAAAAAAAAAAAAAAAAAAAAAAAEBAIAGRQPAAAAAAAAAAAAAAAAAAAAAAD///8A4+jvAAAAAAAJCAUAFBAMAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAArJBkA3eTsAN/l7QBQcJkADQsIAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAP7+/gDv8vcA//8AAAAAAAAnIBcAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAqIxkAvJpuAAAAAADR2uUAWnifAAAAAAAXEw0AvJpuAAAAAADl6vAAWnefAP7//wAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAfJSzANng6QAAAAAAAAAAAAAAAAAAAAAApbXLAKW1ywAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA2N/pAFp4nwAAAAAAAAAAAAAAAAAAAAAAGxYQAKiKYgAAAAAAAAAAAAAAAAAAAAAA+vv9AFp4nwAAAAAAPzQlAIRsTQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAEAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAXEs2AMbQ3wDs8PQA+fr8APn69AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABDNycALSUaAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABkVDwCghF0AvsnZAOHn7gD5+/wAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAQABAA4MCAAsIxkAOzEjAAEBAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABAMCAA/NCUAAAAAABANCQAAAAAAAAAAAAkHBQA/NCUA/v//AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAPDQoAAAAAAAAAAAAAAAAAAAAAAAAAAAAzKh0AGBQOAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAqIhgAAAAAAAAAAAAaFg8APzQlAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAATDwsAAAAAAAAAAAANCwgAPzQlAAAAAAAAAAAAAAAAAAAAAAArIxkAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH/////AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABznpTTAAALkklEQVQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAEBAQECAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAIAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA+oV42jspc4AAAAABJRU5ErkJggg==[/img][br]

现在的问题是，信息增益的方法（ID3）已经可以选出划分属性了，为什么还要有信息增益率算法（C4.5）。因为信息增益方法是有缺陷的。主要缺陷为：如果各个特征变量的值的个数比较平均，比如都是2～3个值，缺陷就不明显；而如果各个特征变量的值的个数差异较大，会发现信息增益偏向值个数多的属性。所以为了纠正这个缺陷，C4.5 决策树提出了信息增益率。对于增益率分母越大值越小，所以信息增益率可以起到“惩罚”值个数多的属性的目的。但是如果算法全部使用信息增益率，又会出现偏向值个数少的属性这一缺陷，所以 C4.5其实并没有直接使用信息增益率，而是先用信息增益选出一些高于平均水平的属性候选集，再从候选集中选出信息增益率最高的属性，也算是一种折中。

C4.5算法还可以将连续的属性进行离散化，离散化策略就是二分法，在此不赘述，请感兴趣的同学自行查阅相关资料。[br][br][b]（三）CART算法[br][/b][br] 在决策树经典算法中，除了ID3和C4.5之外，还有一种CART算法，CART决策树采用基尼系数选取最优划分属性。基尼系数的[color=#0000ff][b]公式为：[br][justify][/justify][/b][/color][math]Gini\left(X\right)=\sum_{x\in X}p\left(x\right)\left(1-p\left(x\right)\right)=1-\sum_{x\in X}p\left(x\right)^2[/math][justify][/justify] 可以看出，基尼系数反映了随机抽取两个样本，其类别不一致的概率。基尼系数反映的是分支内任意两个样本分类不一致的情况，所以基尼系数越小，分类越纯，所以我们选取基尼系数最小的属性作为最优划分属性。

[b]三、ID3、C4.5、CART的区别[/b][b]算法[br][br][/b] 对于这三个非常著名的决策树算法，简单地区别是：[i]ID3[/i]使用信息增益作为选择特征的准则；[i]C4.5[/i]使用信息增益率作为选择特征的准则；[i]CART[/i]使用基尼系数作为选择特征的准则。[br][br][b] ID3[/b][b]：[/b]熵表示的是数据中包含的信息量大小。熵越小，数据的纯度越高，也就是说数据越趋于一致，这是我们希望的划分之后每个子节点的样子。[br] 信息增益=划分前熵-划分后熵。信息增益越大，则意味着使用属性[math]a[/math]来进行划分所获得的“纯度提升”越大。也就是说，用属性[math]a[/math]来划分训练集，得到的结果中纯度比较高。[br] ID3仅仅适用于二分类问题；ID3也仅仅能够处理离散属性。[br][br][b] C4.5[/b][b]：[/b]克服了ID3仅仅能够处理离散属性的问题，以及信息增益偏向选择取值较多特征的问题，使用信息增益率来选择特征。信息增益率=信息增益/属性熵，选择信息增益率最大的作为最优特征。[br] C4.5处理连续特征是先将特征取值排序，以连续两个值中间值作为划分标准。尝试每一种划分，并计算修正后的信息增益，选择信息增益最大的分裂点作为该属性的分裂点。[br][br][b] CART[/b][b]：[/b]与ID3、C4.5不同之处在于CART生成的树必须是二叉树。也就是说，无论是回归还是分类问题，无论特征是离散的还是连续的，无论属性取值有多个还是两个，内部节点只能根据属性值进行二分。[br] CART的全称是分类与回归树。从这个名字中就应该知道，CART既可以用于分类问题，也可以用于回归问题。[br] 回归树中，使用平方误差最小化准则来选择特征并进行划分。每一个叶子节点给出的预测值，是划分到该叶子节点的所有样本目标值的均值，这样只是在给定划分的情况下最小化了平方误差。[br] 要确定最优化分，还需要遍历所有属性，以及其所有的取值来分别尝试划分并计算在此种划分情况下的最小平方误差，选取最小的作为此次划分的依据。由于回归树生成使用平方误差最小化准则，所以又叫做最小二乘回归树。