{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "#縦孔内輝度値反射シュミレーション\n",
    "\n",
    "#   均等拡散反射\n",
    "#   円筒形空洞\n",
    "#   影あり\n",
    "#   カメラの捉える輝度\n",
    "#　　解析\n",
    "\n",
    "#ライブラリのインポート========================\n",
    "import math\n",
    "# from tkinter import N\n",
    "# from urllib.parse import DefragResult\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import time\n",
    "import datetime\n",
    "\n",
    "from mpl_toolkits.axes_grid1 import make_axes_locatable\n",
    "#=========================================="
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "#パラメ-タの設定************************************************************************\n",
    "#縦孔の形状\n",
    "r =  50.0          #縦孔の半径[m]\n",
    "d1 = 50.0          #縦孔の壁の高さ（厚さ）[m]\n",
    "d2 = 50.0          #縦孔の空洞の高さ[m]\n",
    "R =  1.0           #壁の反射率[]    \n",
    "\n",
    "cr = 2.0           #空洞壁の位置[]（rの何倍の位置かどうか）\n",
    "\n",
    "#太陽\n",
    "J = 1.0            #太陽の入射エネルギー][J/s/m^2]\n",
    "theta = 15.0       #太陽高度[°]\n",
    "\n",
    "#その他\n",
    "PI = math.pi       #円周率[]\n",
    "\n",
    "#セルの幅\n",
    "dx = 0.5           #x(太陽方位に平行)方向の分解能[m]\n",
    "dy = 0.5           #y(太陽方位に垂直)方向の分解能[m]\n",
    "dz = 0.5           #z(鉛直)方向の分解能[m]\n",
    "dr = 0.5           #r方向の分解能[m]\n",
    "dphi = 1.0         #φ方向の分解能[°]\n",
    "\n",
    "#計算範囲\n",
    "#縦孔底\n",
    "FL_x_min = - 2.0 * r        #x軸の最小値[m]\n",
    "FL_x_max =   2.0 * r        #x軸の最大値[m]\n",
    "FL_y_min = - 2.0 * r        #y軸の最小値[m]\n",
    "FL_y_max =   2.0 * r        #y軸の最大値[m]\n",
    "FL_r_min   =   0.0 * r      #r方向の最小値[m]\n",
    "FL_r_max   =   2.0 * r      #r方向の最大値[m]\n",
    "FL_phi_min =   -90.0        #φ方向の最小値[°]\n",
    "FL_phi_max =   270.0        #φ方向の最大値[°]\n",
    "#縦孔壁\n",
    "WA_z_min =   d2             #z軸の最小値[m]\n",
    "WA_z_max =   d1 + d2        #z軸の最大値[m]\n",
    "WA_phi_min =   -90.0        #φ方向の最小値[°]\n",
    "WA_phi_max =   270.0        #φ方向の最大値[°]\n",
    "#空洞壁\n",
    "CW_z_min =   0              #z軸の最小値[m]\n",
    "CW_z_max =   d2             #z軸の最大値[m]\n",
    "CW_phi_min =   -90.0        #φ方向の最小値[°]\n",
    "CW_phi_max =   270.0        #φ方向の最大値[°]\n",
    "#空洞天井\n",
    "CC_x_min = - 2.0 * r        #x軸の最小値[m]\n",
    "CC_x_max =   2.0 * r        #x軸の最大値[m]\n",
    "CC_y_min = - 2.0 * r        #y軸の最小値[m]\n",
    "CC_y_max =   2.0 * r        #y軸の最大値[m]\n",
    "CC_r_min =   1.0 * r        #z軸の最小値[m]\n",
    "CC_r_max =   2.0 * r             #z軸の最大値[m]\n",
    "CC_phi_min =   -90.0        #φ方向の最小値[°]\n",
    "CC_phi_max =   270.0        #φ方向の最大値[°]\n",
    "#***********************************************************************************************"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "#カメラのパラメ-タの設定************************************************************************\n",
    "i_CAM = np.array([0.0,0.0,1.0]) * r     #カメラの位置座標\n",
    "s_CAM_i = np.array([0.0,1.0,0.0])       #カメラの向きの初期値(単位ベクトル）y軸＋方向（北向き）\n",
    "\n",
    "elevation_angle = -90.0                  #カメラの仰角[°]\n",
    "azimuth = 0.0                            #カメラの方位[°]\n",
    "\n",
    "h_CAM = 100                              #縦のピクセル数\n",
    "w_CAM = 100                              #横のピクセル数\n",
    "\n",
    "pix_size_CAM = 130.0 * 1.0e-6          #ピクセルサイズ［μm］()\n",
    "f_CAM = 10.22 * 1.0e-3                     #焦点距離［mm］\n",
    "\n",
    "pix_CAM = np.zeros ((h_CAM, w_CAM))     #ピクセル数の配列\n",
    "#***********************************************************************************************"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "#カメラの計算====================================\n",
    "pix = np.zeros((h_CAM,w_CAM))\n",
    "\n",
    "IFOV_rad = 2.0 * math.atan((pix_size_CAM)/ (2.0 * f_CAM))\n",
    "IFOV_deg = math.degrees(IFOV_rad)\n",
    "\n",
    "FOV_h_rad = 2.0 * math.atan((pix_size_CAM * h_CAM) / (2.0 * f_CAM))\n",
    "FOV_h_deg = math.degrees(FOV_h_rad)\n",
    "\n",
    "FOV_w_rad = 2.0 * math.atan((pix_size_CAM * w_CAM) / (2.0 * f_CAM))\n",
    "FOV_w_deg = math.degrees(FOV_w_rad)\n",
    "\n",
    "#============================================"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "#関数の定義====================================\n",
    "#rootを求める関数\n",
    "def SQRT(x):\n",
    "    return np.sqrt(x)\n",
    "\n",
    "#角度からsinを求める関数\n",
    "def SIN(a):\n",
    "    return np.sin(math.radians(a))\n",
    "\n",
    "#角度からcosを求める関数\n",
    "def COS(a):\n",
    "    return np.cos(math.radians(a))\n",
    "\n",
    "#2つベクトルよりcosθを求める関数\n",
    "def DCOS(a, b):\n",
    "    over = (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2])\n",
    "    under = (SQRT(((a[0]) ** 2.0) + ((a[1]) ** 2.0) + ((a[2]) ** 2.0))) * (SQRT(((b[0]) ** 2.0) + ((b[1]) ** 2.0) + ((b[2]) ** 2.0)))\n",
    "    if under == 0.0:\n",
    "        return(0.0)\n",
    "    else:\n",
    "        return (over / under)\n",
    "\n",
    "#2点より単位ベクトルをもとめる関数\n",
    "def VEC2(a,b):  #bベクトルからaベクトル\n",
    "    I = a[0] - b[0]\n",
    "    J = a[1] - b[1]\n",
    "    K = a[2] - b[2]\n",
    "    under = SQRT((I ** 2.0) + (J ** 2.0) + (K ** 2.0))\n",
    "    if under == 0.0:\n",
    "        return((0.0, 0.0, 0.0))\n",
    "    else:\n",
    "        return((I/under), (J/under), (K/under))\n",
    "\n",
    "#2点よりベクトルをもとめる関数\n",
    "def VEC(a,b):  #bベクトルからaベクトル\n",
    "    I = a[0] - b[0]\n",
    "    J = a[1] - b[1]\n",
    "    K = a[2] - b[2]\n",
    "    return(I, J, K)\n",
    "\n",
    "#2点間の距離の2乗を求める関数\n",
    "def LL(a,b):\n",
    "    return (((a[0]- b[0]) ** 2.0) + ((a[1]- b[1]) ** 2.0) + ((a[2]- b[2]) ** 2.0))\n",
    "\n",
    "#グリッドの設定\n",
    "def grid (d,max,min):\n",
    "    l = int((max - min) / d)\n",
    "    r = np.zeros(l+1)\n",
    "    for i in range(l+1):\n",
    "        r[i] = min + (d * float(i))\n",
    "    return r\n",
    "\n",
    "#反射パターン\n",
    "def Ref(pattern,Inc,Emi,Nor):\n",
    "    if pattern == \"Lambert\":  #均等拡散反射（ランバート反射）\n",
    "        return DCOS(Nor,Emi) * R / PI\n",
    "    elif pattern == \"end\":\n",
    "        return DCOS(Emi,Inc) * R / PI\n",
    "    else:\n",
    "        print(\"stop\")\n",
    "\n",
    "#2次関数の解の存否の関数\n",
    "def dis(A,B,C):#A,B,Cの値\n",
    "    D = (B ** 2) - (4.0 * A * C)\n",
    "    if(D < 0.0):\n",
    "        return 0 #解がないとき0を返す\n",
    "    else:\n",
    "        return 1 #解があるとき1を返す\n",
    "\n",
    "#2次関数の解の公式の関数\n",
    "def kai(A,B,C,s):#A,B,Cの値，sは−1or1\n",
    "        return ((- 1.0 * B )+ (s * SQRT(B ** 2 - (4.0 * A * C))))/(2.0 * A )\n",
    "\n",
    "#円筒（縦孔壁面）とのあたり判定\n",
    "def HitCyl(s,d,r,hmax,hmin):\n",
    "    A = (d[0] ** 2) + (d[1] ** 2)\n",
    "    B = 2.0 * ((s[0] * d[0]) + (s[1] * d[1]))\n",
    "    C = (s[0] ** 2) + (s[1] ** 2) - (r ** 2)\n",
    "    if dis(A,B,C) < 0.0:\n",
    "        return 0\n",
    "    else:\n",
    "        t1 = kai(A, B, C, 1.0) \n",
    "        t2 = kai(A, B, C, -1.0 )\n",
    "        if t1 <= 0.0 and t2 <= 0.0 :\n",
    "            return 0\n",
    "        elif t1 > 0 and t2 <=0: \n",
    "            z = s[2] + (t1 * d[2])\n",
    "            if z >= hmin and  z <= hmax:\n",
    "                return 1\n",
    "            else:\n",
    "                return 0\n",
    "        elif t1 <= 0 and t2 > 0: \n",
    "            z = s[2] + (t2 * d[2])\n",
    "            if z >= hmin and  z <= hmax:\n",
    "                return 1\n",
    "            else:\n",
    "                return 0\n",
    "        elif t1 >= t2 :\n",
    "            z = s[2] + (t1 * d[2])\n",
    "            if z >= hmin and  z <= hmax:\n",
    "                return 1\n",
    "            else:\n",
    "                return 0\n",
    "        else:\n",
    "            z = s[2] + (t2 * d[2])\n",
    "            if z >= hmin and  z <= hmax:\n",
    "                return 1\n",
    "            else:\n",
    "                return 0\n",
    "        \n",
    "#円盤（縦孔開口部）とのあたり判定\n",
    "def HitDisk(s,d,r,h):  \n",
    "    if d[2]== 0.0:\n",
    "        if s[2] == h:\n",
    "            return 1\n",
    "        else:\n",
    "            # print(\"yoko\")\n",
    "            return 0\n",
    "    elif (((s[0]+ ((h - s[2]) * d[0] / d[2]))**2)+(((s[1]+((h - s[2]) * d[1] / d[2]))**2))) <= (r ** 2):\n",
    "        return 1   \n",
    "    else:\n",
    "        # print(\"soto\")\n",
    "        return 0\n",
    "\n",
    "#ベクトルの角度を比較する関数(radで入力)                \n",
    "def CompVec (A,B,c):\n",
    "    a = math.acos(DCOS(A,B))\n",
    "    if a <= c:\n",
    "        return 1\n",
    "    else:\n",
    "        return 0    \n",
    "\n",
    "#ある点（位置ベクトル）と最も近い点を参照する関数\n",
    "def SerchNearPoint(P,F,E,n): #P(x,y,z)点,F[i,j](x,y,z)(検索配列)，E[i,j]（輝度）,n[i,j]\n",
    "    L_max = np.finfo(np.float64).max\n",
    "    E_max = np.zeros(4)\n",
    "    for i in range(np.shape(F)[0]):\n",
    "        for j in range(np.shape(F)[1]):\n",
    "            if L_max > LL(P,F[i,j]):\n",
    "                L_max = LL(P,F[i,j])\n",
    "                E_max[0] = E[i,j]\n",
    "                E_max[1] = n[i,j,0]\n",
    "                E_max[2] = n[i,j,1]\n",
    "                E_max[3] = n[i,j,2]            \n",
    "    return E_max     \n",
    "\n",
    "#円筒（縦孔壁面）との交差点を求める関数\n",
    "def HitCyl_2(s,d,r,hmax,hmin):\n",
    "    A = (d[0] ** 2) + (d[1] ** 2)\n",
    "    B = 2.0 * ((s[0] * d[0]) + (s[1] * d[1]))\n",
    "    C = (s[0] ** 2) + (s[1] ** 2) - (r ** 2)\n",
    "    if dis(A,B,C) < 0.0:\n",
    "        return 0\n",
    "    else:\n",
    "        t1 = kai(A, B, C, 1.0) \n",
    "        t2 = kai(A, B, C, -1.0 )\n",
    "        if t1 <= 0.0 and t2 <= 0.0 :\n",
    "            return 0\n",
    "        elif t1 > 0 and t2 <=0: \n",
    "            z = s[2] + (t1 * d[2])\n",
    "            if z >= hmin and  z <= hmax:\n",
    "                return t1\n",
    "            else:\n",
    "                return 0.0\n",
    "        elif t1 <= 0 and t2 > 0: \n",
    "            z = s[2] + (t2 * d[2])\n",
    "            if z >= hmin and  z <= hmax:\n",
    "                return t2\n",
    "            else:\n",
    "                return 0.0\n",
    "        elif t1 >= t2 :\n",
    "            z = s[2] + (t1 * d[2])\n",
    "            if z >= hmin and  z <= hmax:\n",
    "                return t1\n",
    "            else:\n",
    "                return 0.0\n",
    "        else:\n",
    "            z = s[2] + (t2 * d[2])\n",
    "            if z >= hmin and  z <= hmax:\n",
    "                return t2\n",
    "            else:\n",
    "                return 0.0\n",
    "\n",
    "#一つの位置ベクトルから4隅の位置ベクトルを求める関数\n",
    "def VecOneFour(F,u,v,h,w):\n",
    "    A = np.zeros([4,3])\n",
    "    A[0] = F + ((h**2.0 + w**2.0)**0.5 *0.5 * ((u + v)/np.linalg.norm(u + v)))\n",
    "    A[1] = F + ((h**2.0 + w**2.0)**0.5 *0.5 * ((u - v)/ np.linalg.norm(u - v)))\n",
    "    A[2] = F + ((h**2.0 + w**2.0)**0.5  *0.5* ((-u + v)/np.linalg.norm(-u + v)))\n",
    "    A[3] = F + ((h**2.0 + w**2.0)**0.5  *0.5* ((-u - v)/np.linalg.norm(-u - v)))\n",
    "    return A\n",
    "\n",
    "#3点から面積を求める関数\n",
    "def CalArea(A,B,C): #3点の位置ベクトルを入力（A(x,y,z),B(x,y,z),C(x,y,z)）\n",
    "    return (1/2.0) *  np.linalg.norm(np.cross((B-A),(C-A)))\n",
    "\n",
    "#ベクトルをx,y,z軸回りに回転させる関数(x→y→zの順)\n",
    "def LotVec(A,t,p,o): \n",
    "    Rx = np.array([[1, 0, 0],\n",
    "                   [0, np.cos(t), -np.sin(t)],\n",
    "                   [0, np.sin(t), np.cos(t)]])\n",
    "    Ry = np.array([[np.cos(p), 0,np.sin(p)],\n",
    "                   [0, 1, 0],\n",
    "                   [-np.sin(p), 0, np.cos(p)]])\n",
    "    Rz = np.array([[np.cos(o), -np.sin(o), 0],\n",
    "                   [np.sin(o), np.cos(o), 0],\n",
    "                   [0, 0, 1]])\n",
    "    R = Rz.dot(Ry).dot(Rx)\n",
    "    B = np.dot(R,A)\n",
    "    return B\n",
    "\n",
    "#底面とのあたり判定\n",
    "def HitFL(s,d,n,x_max,x_min,y_max,y_min): #s(始点の位置)，d(方向ベクトル)，n（底面の法線ベクトル）\n",
    "    t = -(np.dot(s,n))/(np.dot(d,n))\n",
    "    x = s[0] + (t * d[0])\n",
    "    y = s[1] + (t * d[1])\n",
    "    z = s[2] + (t * d[2])\n",
    "    if t < 0.0:\n",
    "        return 0\n",
    "    elif(x_min <= x <= x_max) and (y_min <= y <= y_max):\n",
    "        return 1\n",
    "    else:\n",
    "        return 0\n",
    "    \n",
    "def HitFL2(s,d,n,x_max,x_min,y_max,y_min): #s(始点の位置)，d(方向ベクトル)，n（底面の法線ベクトル）\n",
    "    t = -(np.dot(s,n))/(np.dot(d,n))\n",
    "    x = s[0] + (t * d[0])\n",
    "    y = s[1] + (t * d[1])\n",
    "    z = s[2] + (t * d[2])\n",
    "\n",
    "    if t < 0.0:\n",
    "        return 0\n",
    "    elif(x_min <= x <= x_max) and (y_min <= y <= y_max):\n",
    "        return t\n",
    "    else:\n",
    "        return 0\n",
    "\n",
    "#空洞天井とのあたり判定\n",
    "def HitCC(s,d,n,p,x_max,x_min,y_max,y_min): #s(始点の位置)，d(方向ベクトル)，n（底面の法線ベクトル）\n",
    "    t = ((np.dot(p,n))-(np.dot(s,n)))/(np.dot(d,n))\n",
    "    x = s[0] + (t * d[0])\n",
    "    y = s[1] + (t * d[1])\n",
    "    z = s[2] + (t * d[2])\n",
    "    if t < 0.0:\n",
    "        return 0\n",
    "    elif(x_min <= x <= x_max) and (y_min <= y <= y_max):\n",
    "        return 1\n",
    "    else:\n",
    "        return 0\n",
    "\n",
    "def HitCC2(s,d,n,p,x_max,x_min,y_max,y_min): #s(始点の位置)，d(方向ベクトル)，n（底面の法線ベクトル）\n",
    "    t = ((np.dot(p,n))-(np.dot(s,n)))/(np.dot(d,n))\n",
    "    x = s[0] + (t * d[0])\n",
    "    y = s[1] + (t * d[1])\n",
    "    z = s[2] + (t * d[2])\n",
    "    if t < 0.0:\n",
    "        return 0\n",
    "    elif(x_min <= x <= x_max) and (y_min <= y <= y_max):\n",
    "        return t\n",
    "    else:\n",
    "        return 0\n",
    "\n",
    "#============================================"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "#カメラのグリッド設定=========================(カメラの回転に注意)\n",
    "SUR_CCD = \"CCD\"\n",
    "a_CCD = np.linspace((((-1*w_CAM/2)* pix_size_CAM) + (pix_size_CAM/2)),(((w_CAM/2)* pix_size_CAM) - (pix_size_CAM/2)),num = w_CAM)\n",
    "b_CCD = np.linspace((((-1*h_CAM/2)* pix_size_CAM) + (pix_size_CAM/2)),(((h_CAM/2)* pix_size_CAM) - (pix_size_CAM/2)),num = h_CAM)\n",
    "#===========================================\n",
    "\n",
    "#縦孔底面のグリッド設定=========================\n",
    "SUR_FL = \"FL\"\n",
    "a_FL = grid(dx, FL_x_max, FL_x_min)\n",
    "b_FL = grid(dy, FL_x_max, FL_x_min)\n",
    "#===========================================\n",
    "\n",
    "#縦孔壁面のグリッド設定=========================\n",
    "SUR_WA = \"WA\"\n",
    "a_WA = grid(dz, WA_z_max, WA_z_min)\n",
    "b_WA = grid(dphi, WA_phi_max, WA_phi_min)\n",
    "#===========================================\n",
    "\n",
    "#空洞壁面のグリッド設定=========================\n",
    "SUR_CW = \"CW\"\n",
    "a_CW = grid(dz, CW_z_max, CW_z_min)\n",
    "b_CW = grid(dphi, CW_phi_max, CW_phi_min)\n",
    "#===========================================\n",
    "\n",
    "#空洞天井のグリッド設定=========================\n",
    "SUR_CC = \"CC\"\n",
    "a_CC = grid(dr, CC_r_max, CC_r_min)\n",
    "b_CC = grid(dphi, CC_phi_max, CC_phi_min)\n",
    "#===========================================\n",
    "\n",
    "# #空洞天井のグリッド設定=========================\n",
    "# SUR_CC = \"CC\"\n",
    "# a_CC = grid(dr, CC_r_max, CC_r_min)\n",
    "# b_CC = grid(dphi, CC_phi_max, CC_phi_min)\n",
    "# #===========================================\n",
    "#空洞天井のグリッド設定=========================\n",
    "SUR_CC = \"CC\"\n",
    "a_CC = grid(dx, CC_x_max, CC_x_min)\n",
    "b_CC = grid(dy, CC_y_max, CC_y_min)\n",
    "#===========================================\n",
    "\n",
    "#計算ループの設定===============================\n",
    "#カメラ\n",
    "M_CAM = len(a_CCD)      #観測面のセル数\n",
    "N_CAM = len(b_CCD)      #観測面のセル数\n",
    "#縦孔底\n",
    "M_FL = len(a_FL)        #反射面のセル数\n",
    "N_FL = len(b_FL)        #反射面のセル数\n",
    "#縦孔壁\n",
    "M_WA = len(a_WA)        #反射面のセル数\n",
    "N_WA = len(b_WA)        #反射面のセル数\n",
    "#空洞壁\n",
    "M_CW = len(a_CW)        #反射面のセル数\n",
    "N_CW = len(b_CW)        #反射面のセル数\n",
    "#空洞天井\n",
    "M_CC = len(a_CC)        #反射面のセル数\n",
    "N_CC = len(b_CC)        #反射面のセル数\n",
    "#============================================"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "#ベクトルの設定*****************************************\n",
    "#太陽光ベクトル(i,j,k)\n",
    "I = np.array([-COS(theta), 0.0, -SIN(theta)])\n",
    "\n",
    "#カメラのベクトル設定===========================================================================\n",
    "\n",
    "#カメラの回転\n",
    "s_CAM = LotVec(s_CAM_i,np.radians(elevation_angle),np.radians(0.0),np.radians(- azimuth))\n",
    "#カメラの基底直行ベクトルを計算\n",
    "X = s_CAM\n",
    "Y = (np.cross(np.array([0.0,0.0,1.0]),X)/np.linalg.norm(np.cross(np.array([0.0,0.0,1.0]),X)))\n",
    "Z = np.cross(X,Y)\n",
    "#============================================================================================\n",
    "\n",
    "#カメラ(CCD)の法線ベクトルs=============\n",
    "s_CAM = s_CAM\n",
    "#カメラ(CCD)の位置ベクトルi\n",
    "i_CAM = i_CAM\n",
    "#カメラ(CCD)の微小面積dS\n",
    "dS = pix_size_CAM ** 2\n",
    "#仮想スクリーンの位置ベクトル座標\n",
    "i_SCR_i = np.zeros((M_CAM, N_CAM, 3))\n",
    "i_SCR = np.zeros((M_CAM, N_CAM, 3))\n",
    "for i in range(M_CAM):\n",
    "   for j in range(N_CAM):\n",
    "        i_SCR_i[i,j,0] = a_CCD[i]\n",
    "        i_SCR_i[i,j,1] = f_CAM\n",
    "        i_SCR_i[i,j,2] = b_CCD[j]\n",
    "        i_SCR[i,j]= LotVec(i_SCR_i[i,j], np.radians(elevation_angle), np.radians(0.0), np.radians(-azimuth))\n",
    "        i_SCR[i,j]= np.add(i_SCR[i,j],i_CAM)\n",
    "        \n",
    "#カメラの位置ベクトルからのスクリーン面に向かうベクトルH\n",
    "H = np.zeros((M_CAM, N_CAM, 3))        \n",
    "for i in range(M_CAM):\n",
    "    for j in range(N_CAM):\n",
    "        H[i,j] = np.array(VEC2(i_SCR[i,j],i_CAM))\n",
    "#===================================\n",
    " \n",
    "#縦孔底面の法線ベクトルn================\n",
    "n_FL = np.zeros((M_FL, N_FL, 3))\n",
    "for i in range(M_FL):\n",
    "    for j in range(N_FL):\n",
    "        n_FL[i,j,0] = 0.0\n",
    "        n_FL[i,j,1] = 0.0\n",
    "        n_FL[i,j,2] = 1.0\n",
    "\n",
    "#縦孔底面の位置ベクトルF\n",
    "F_FL = np.zeros((M_FL, N_FL, 3))\n",
    "for i in range(M_FL):\n",
    "   for j in range(N_FL):\n",
    "        F_FL[i,j,0] = a_FL[i]\n",
    "        F_FL[i,j,1] = b_FL[j]\n",
    "        F_FL[i,j,2] = 0.0\n",
    "\n",
    "#縦孔底面の微小面積dA\n",
    "dA_FL = dx * dy\n",
    "#=====================================\n",
    "\n",
    "#縦孔壁面の法線ベクトルn================\n",
    "n_WA = np.zeros((M_WA, N_WA, 3))\n",
    "for i in range(M_WA):\n",
    "    for j in range(N_WA):\n",
    "        n_WA[i,j,0] = - COS(b_WA[j])\n",
    "        n_WA[i,j,1] = - SIN(b_WA[j])\n",
    "        n_WA[i,j,2] = 0.0\n",
    "\n",
    "#縦孔壁面の位置ベクトルF\n",
    "F_WA = np.zeros((M_WA, N_WA, 3))\n",
    "for i in range(M_WA):\n",
    "   for j in range(N_WA):\n",
    "        F_WA[i,j,0] = r * COS(b_WA[j])\n",
    "        F_WA[i,j,1] = r * SIN(b_WA[j])\n",
    "        F_WA[i,j,2] = a_WA[i]\n",
    "\n",
    "#縦孔底面の微小面積dA\n",
    "dA_WA = dz * r * dphi\n",
    "#=====================================\n",
    "\n",
    "#空洞壁面の法線ベクトルn================\n",
    "n_CW = np.zeros((M_CW, N_CW, 3))\n",
    "for i in range(M_CW):\n",
    "    for j in range(N_CW):\n",
    "        n_CW[i,j,0] = - COS(b_CW[j])\n",
    "        n_CW[i,j,1] = - SIN(b_CW[j])\n",
    "        n_CW[i,j,2] = 0.0\n",
    "\n",
    "#空洞壁面の位置ベクトルF\n",
    "F_CW = np.zeros((M_CW, N_CW, 3))\n",
    "for i in range(M_CW):\n",
    "   for j in range(N_CW):\n",
    "        F_CW[i,j,0] = r * cr * COS(b_CW[j])\n",
    "        F_CW[i,j,1] = r * cr * SIN(b_CW[j])\n",
    "        F_CW[i,j,2] = a_CW[i]\n",
    "\n",
    "#縦孔底面の微小面積dA\n",
    "dA_CW = dz * r * cr * dphi\n",
    "#=====================================\n",
    "\n",
    "#空洞天井の法線ベクトルn================\n",
    "# n_CC = np.zeros((M_CC, N_CC, 3))\n",
    "# for i in range(M_CC):\n",
    "#     for j in range(N_CC):\n",
    "#         n_CC[i,j,0] = 0.0\n",
    "#         n_CC[i,j,1] = 0.0\n",
    "#         n_CC[i,j,2] = 1.0\n",
    "\n",
    "# #空洞天井の位置ベクトルF\n",
    "# F_CC = np.zeros((M_CC, N_CC, 3))\n",
    "# for i in range(M_CC):\n",
    "#    for j in range(N_CC):\n",
    "#         F_CC[i,j,0] = a_CC[i] * COS(b_CW[j])\n",
    "#         F_CC[i,j,1] = a_CC[i] * SIN(b_CW[j])\n",
    "#         F_CC[i,j,2] = d2\n",
    "#空洞天井の法線ベクトルn================\n",
    "n_CC = np.zeros((M_CC, N_CC, 3))\n",
    "for i in range(M_CC):\n",
    "    for j in range(N_CC):\n",
    "        n_CC[i,j,0] = 0.0\n",
    "        n_CC[i,j,1] = 0.0\n",
    "        n_CC[i,j,2] = -1.0\n",
    "\n",
    "#空洞天井の位置ベクトルF\n",
    "F_CC = np.zeros((M_CC, N_CC, 3))\n",
    "for i in range(M_CC):\n",
    "   for j in range(N_CC):\n",
    "        F_CC[i,j,0] = a_CC[i]\n",
    "        F_CC[i,j,1] = b_CC[j]\n",
    "        F_CC[i,j,2] = d2\n",
    "\n",
    "#縦孔底面の微小面積dA\n",
    "dA_CC = dx * dy\n",
    "#====================================\n",
    "\n",
    "# #空洞天井の微小面積dA\n",
    "# dA_CC = np.zeros((M_CC))\n",
    "# for i in range(M_CC):\n",
    "#     dA_CC[i] = dr * a_CC[i] * dphi \n",
    "# #=====================================\n",
    "\n",
    "#*************************************************"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "#放射照度データの入力（CSV）入力****************************\n",
    "#放射照度データの入力（CSV）入力****************************\n",
    "#太陽直達光\n",
    "E_StoFL = np.loadtxt('PPP_StoFL_t15.0h1.0h1.0_cr2.0_2023-03-10.csv',delimiter=',') \n",
    "E_StoWA = np.loadtxt('PPP_StoWA_t15.0h1.0h1.0_cr2.0_2023-03-10.csv',delimiter=',') \n",
    "E_StoCW = np.loadtxt('PPP_StoCW_t15.0h1.0h1.0_cr2.0_2023-03-10.csv',delimiter=',') \n",
    "\n",
    "#底からの反射光\n",
    "E_FLtoWA = np.loadtxt('PPP_FLtoWA_t15.0h1.0h1.0_cr2.0_2023-03-08.csv',delimiter=',') \n",
    "E_FLtoCW = np.loadtxt('PPP_FLtoCW_t15.0h1.0h1.0_cr2.0_2023-03-08.csv',delimiter=',') \n",
    "E_FLtoCC = np.loadtxt('PPP_FLtoCC_t15.0h1.0h1.0_cr2.0_2023-03-08.csv',delimiter=',') \n",
    "\n",
    "#縦孔壁からの反射光\n",
    "E_WAtoFL = np.loadtxt('PPP_WAtoFL_t15.0h1.0h1.0_cr2.0_2023-03-09.csv',delimiter=',') \n",
    "E_WAtoWA = np.loadtxt('PPP_WAtoWA_t15.0h1.0h1.0_cr2.0_2023-03-09.csv',delimiter=',') \n",
    "E_WAtoCW = np.loadtxt('PPP_WAtoCW_t15.0h1.0h1.0_cr2.0_2023-03-09.csv',delimiter=',') \n",
    "\n",
    "#空洞壁からの反射光\n",
    "E_CWtoFL = np.loadtxt('PPP_CWtoFL_t15.0h1.0h1.0_cr2.0_2023-03-09.csv',delimiter=',') \n",
    "E_CWtoWA = np.loadtxt('PPP_CWtoWA_t15.0h1.0h1.0_cr2.0_2023-03-09.csv',delimiter=',') \n",
    "E_CWtoCW = np.loadtxt('PPP_CWtoCW_t15.0h1.0h1.0_cr2.0_2023-03-09.csv',delimiter=',') \n",
    "E_CWtoCC = np.loadtxt('PPP_CWtoCC_t15.0h1.0h1.0_cr2.0_2023-03-09.csv',delimiter=',') \n",
    "\n",
    "#******************************************************"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.0 0.0\n"
     ]
    }
   ],
   "source": [
    "#入力データのグラフの出力\n",
    "R_i = 1.0\n",
    "E = E_StoFL * R_i * 100\n",
    "\n",
    "fig, ax = plt.subplots()\n",
    "plt.imshow(E.T,vmin=0.0, vmax=100.0,)\n",
    "plt.colorbar (label=\"E/J [%]\")\n",
    "\n",
    "plt.xlabel('x [m]')\n",
    "plt.ylabel('y [m]')\n",
    "plt.xticks([0,50,100,150,200,250,300,350,400],[\"-100\",\"-75\",\"-50\",\"-25\",\"0\",\"25\",\"50\",\"75\",\"100\"])\n",
    "plt.yticks([0,50,100,150,200,250,300,350,400],[\"-100\",\"-75\",\"-50\",\"-25\",\"0\",\"25\",\"50\",\"75\",\"100\"])\n",
    "\n",
    "theta2 = np.linspace(0, 2*np.pi, 100)\n",
    "a = 2*r * np.cos(theta2) + 200\n",
    "b = 2*r * np.sin(theta2) + 200\n",
    "plt.plot(a,b, color='black', linestyle=\"dashed\") #円の描写しない場合はここをコメントアウト\n",
    "\n",
    "theta3 = np.linspace(0, 2*np.pi, 100)\n",
    "c = 4*r * np.cos(theta2) + 200\n",
    "d = 4*r * np.sin(theta2) + 200\n",
    "plt.plot(c,d, color='black', linestyle=\"dashed\") #円の描写しない場合はここをコメントアウト\n",
    "\n",
    "x = np.linspace(0, 401, 401)\n",
    "\n",
    "# create new axes on the right and on the top of the current axes.\n",
    "divider = make_axes_locatable(ax)\n",
    "axtop = divider.append_axes(\"top\", size=1.0, pad=0.3, sharex=ax)\n",
    "plt.title(\"\\\"Sun to floor\\\" θ = {}\".format(theta))\n",
    "# plt.title(\"max = {}\".format(np.max(E)))\n",
    "plt.ylabel('E/J [%]')\n",
    "axright = divider.append_axes(\"right\", size=1.2, pad=0.5, sharey=ax)\n",
    "\n",
    "\n",
    "axtop.plot(x, E[:,200]) #marker=\"o\", ms=1, mfc=\"k\", mec=\"k\")\n",
    "axtop.axis([0,400, 0, 100])\n",
    "plt.xlabel('E/J [%]')\n",
    "\n",
    "axright.plot(E[200], x) #marker=\"o\", ms=1, mfc=\"k\", mec=\"k\")\n",
    "axright.axis([0, 100, 0, 400])\n",
    "\n",
    "\n",
    "# plt.tight_layout()\n",
    "\n",
    "plt.show()\n",
    "\n",
    "print(np.max(E),np.min(E))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "96.59258262890683 0.0\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "R_i = 1.0\n",
    "E = E_StoWA * R_i * 100\n",
    "\n",
    "fig, ax = plt.subplots()\n",
    "\n",
    "plt.imshow(np.fliplr(np.flipud(E)),vmin=0.0, vmax=100.0,)\n",
    "plt.xticks([0,45,90,135,180,225,270,315,360],[\"270\",\"225\",\"180\",\"135\",\"90\",\"45\",\"0\",\"-45\",\"-90\"])\n",
    "plt.yticks([0,50,100],[\"100\",\"75\",\"50\"])\n",
    "\n",
    "plt.colorbar (label=\"E/J [%]\",shrink=0.7)\n",
    "\n",
    "plt.xlabel('φ [°]')\n",
    "plt.ylabel('z [m]')\n",
    "\n",
    "# # create new axes on the right and on the top of the current axes.\n",
    "divider = make_axes_locatable(ax)\n",
    "axright = divider.append_axes(\"right\", size=0.8, pad=0.15)#, sharey=ax)\n",
    "axright.plot(E.T[270],a_WA)\n",
    "plt.xlim(0, 100)\n",
    "# plt.xticks([6,9,12])\n",
    "plt.yticks([])\n",
    "plt.xlabel('E/J [%]')\n",
    "\n",
    "E=np.fliplr(np.flipud(E))\n",
    "\n",
    "axtop = divider.append_axes(\"top\", size=0.8, pad=0.3)#, sharey=ax)\n",
    "axtop.plot(b_WA,E[50])\n",
    "plt.ylim(0, 100)\n",
    "# plt.yticks([6,9,12])\n",
    "plt.xlim(-90, 270)\n",
    "plt.xticks([-90,-45,0,45,90,135,180,225,270],[\"270\",\"225\",\"180\",\"135\",\"90\",\"45\",\"0\",\"-45\",\"-90\"])\n",
    "plt.ylabel('E/J [%]')\n",
    "\n",
    "plt.title(\"\\\"Sun to wall of the hole\\\" θ = {}\".format(theta))\n",
    "print(np.max(E),np.min(E))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.0 0.0\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAjYAAAEnCAYAAAC61AmWAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjcuMSwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/bCgiHAAAACXBIWXMAAA9hAAAPYQGoP6dpAABbGElEQVR4nO3deVxUVf8H8M/IMiwiBgrDKIyouOKK5r4j7miYuKWYZporbpmpSZqYVoRmWpZ7bi1uZahogPpzBy3UHpdERQNJHgVUZJvz+4OHm8M6gzPDgJ/363VfNXfOvfd7DzP45dyzyIQQAkREREQVQKWyDoCIiIhIX5jYEBERUYXBxIaIiIgqDCY2REREVGEwsSEiIqIKg4kNERERVRhMbIiIiKjCYGJDREREFQYTGyIiIqowmNgQERFRhcHEhoiI6CV07NgxDBgwAEqlEjKZDHv37tV4XwiBoKAgKJVKWFtbo2vXrrh8+bJGmYyMDEydOhXVqlWDra0tfH19cffuXSPeRUFMbIiIiF5CT548QbNmzbB69epC31+xYgVCQkKwevVqnDt3DgqFAj179kRaWppUJjAwEHv27MHOnTtx4sQJPH78GP3790dOTo6xbqMAGRfBJCIiernJZDLs2bMHgwYNApDbWqNUKhEYGIi5c+cCyG2dcXZ2xvLlyzFhwgSkpKSgevXq2Lp1K4YOHQoA+Pvvv+Hq6opff/0VvXr1KpN7MS+TqxIREVGxnj17hszMTK3LCyEgk8k09snlcsjlcp2vHRcXh8TERPj4+Gicq0uXLjh58iQmTJiA6OhoZGVlaZRRKpXw9PTEyZMnmdgQERFRrmfPnsFdVRmJSdo/0qlcuTIeP36ssW/RokUICgrS+fqJiYkAAGdnZ439zs7OuH37tlTG0tISr7zySoEyeceXBSY2REREJiYzMxOJSTmIi1ahil3J3WFT09Rw97qN+Ph4VKlSRdpfmtaa5+VvASqsVSg/bcoYEhMbIiIiE2VbOXcrSc7/estWqVJFI7EpLYVCASC3VcbFxUXan5SUJLXiKBQKZGZm4uHDhxqtNklJSWjfvv0Lx1BaHBVFRERkotQQWm/65O7uDoVCgfDwcGlfZmYmoqKipKTFy8sLFhYWGmUSEhJw6dKlMk1s2GJDRERkotRQQ61lOV09fvwYN27ckF7HxcXh4sWLcHBwgJubGwIDAxEcHAwPDw94eHggODgYNjY2GDFiBADA3t4e48aNw6xZs+Do6AgHBwfMnj0bTZo0gbe3t87x6AsTGyIiIhOVIwRytJiVRZsy+Z0/fx7dunWTXs+cORMAEBAQgE2bNuHdd99Feno6Jk2ahIcPH6JNmzY4fPgw7OzspGM+//xzmJubw9/fH+np6ejRowc2bdoEMzMznePRF85jQ0REZGJSU1Nhb2+P2/9Rat15WNXgb6SkpOilj015xhYbIiIiE6WGQI4W/Wf03cemPGNiQ0REZKK07RjMxOZfTGyIiIhMlCH72FRUTGyIiIhMlPp/mzblKBcTGyIiIhOVo2UfG23KvCw4QV8+mzZtkqaCjoyMhEwmw61bt6T3hRDYuXMnOnXqBCcnJ1hZWaFmzZro1asXvv322zKJec2aNdi0aVOZXPtF1KpVC2PGjJFe37p1CzKZTK/3cuvWLfTr1w8ODg6QyWQIDAwssmxwcDD27t1bYH/eZ+L8+fN6i+tlNWbMGHTt2hUAEBQUhFq1aml13OnTp9G5c2fY2NhAoVBg+vTpePLkieECLUJoaCj8/Pzg7u4OmUwm3Ut+eZ+ZwjZt19C5efMm/Pz8ULVqVVSuXBk9e/ZETEyMHu+GyoMcof1GuZjY6GjevHkYPnw4GjZsiG+//RZhYWH46KOP4OzsjH379pVJTOU1sTGGGTNm4MyZM9iwYQNOnTqFGTNmFFm2qMSGytbFixfRo0cPuLq64ueff8ann36KH3/8EYMHDzZ6LF999RVu376N7t27o3r16iWW37hxI06dOqWxOTo6lnjcP//8g06dOuHatWvYsGEDvv/+ezx79gxdu3bF1atX9XErVE6oddgoFx9F6SA9PR2hoaEYPXo01q1bp/HemDFjoFbzo2VqLl26hFdffRWDBg0q61AqpPT0dFhbWxv0GrNmzYKnpye+++47qTXVw8MDbdu2xd69e436s71y5QoqVcr9e9DT07PE8p6enmjVqpXO1/nkk0/wzz//4OTJk1CpVACAjh07ok6dOvjggw+wa9cunc9J5ZMaMuSg5AUl1VqUeVmwxUYHT548QUZGhsaCYM/L+4UH/PsYKzIyUqNMYY9bxowZg8qVK+PGjRvo27cvKleuDFdXV8yaNQsZGRnFxlSrVi1cvnwZUVFRUlP38837d+7cwRtvvAEnJyfI5XI0bNgQn332WYlJ2Jw5c2Bvb4+cnBxp39SpUyGTyfDJJ59I+5KTk1GpUiV88cUXAIBnz55h1qxZaN68Oezt7eHg4IB27drpvTWrpPvKq/8bN24gLCxMqpvnHys+TyaT4cmTJ9i8ebNUNv9jhrS0NLzzzjuoVq0aHB0d4efnh7///rvAuXbt2oV27drB1tYWlStXRq9evXDhwgWt7uvevXt4++234erqCktLSyiVSrz++uu4f/8+AO3rt0WLFujUqVOB8+fk5KBGjRrw8/OT9mVmZuKjjz5CgwYNIJfLUb16dbz55pv4559/NI6tVasW+vfvj927d6NFixawsrLChx9+KNX1jh07MH/+fCiVSlSpUgXe3t4v3LqQlJSEiIgIjBo1SmO14DZt2qBu3brYuXPnC51fV89/xw1pz5496N69u5TUALmLG/r5+eHnn39Gdna2UeKgsqcW2m+Ui4lNPmPGjEHeZMxdu3aFEEJKFKpVq4a6detizZo1CAkJwX/+8x/oa+LmrKws+Pr6okePHti3bx/Gjh2Lzz//HMuXLy/2uD179qB27dpo0aKF1NS9Z88eALnN2e3bt8fhw4exZMkS7N+/H97e3pg9ezamTJlS7Hm9vb2RmpqKs2fPSvuOHDkCa2trjQXPjh49CiGEtC5IRkYG/vvf/2L27NnYu3cvduzYgY4dO8LPzw9btmwpbfVo0Oa+WrZsiVOnTkGhUKBDhw5S3RSVlJ46dQrW1tbo27evVHbNmjUaZd566y1YWFhg+/btWLFiBSIjI/HGG29olAkODsbw4cPRqFEjfP/999i6dSvS0tLQqVMnXLlypdj7unfvHlq3bo09e/Zg5syZCAsLQ2hoKOzt7fHw4UMA2tfvm2++iRMnTuD69esa1zh8+DD+/vtvvPnmmwAAtVqNgQMH4uOPP8aIESNw4MABfPzxxwgPD0fXrl2Rnp6ucXxMTAzmzJmDadOm4eDBgxqPg95//33cvn0b3377LdatW4fr169jwIABGsnxpk2bpGQ/KCioyEQzz++//w4hBBo1aoTs7GyNrXnz5rh48WKxxwMocFxRmyEmYe/fvz/MzMzg4OAAPz8/XLp0qcRj0tPT8ddff6Fp06YF3mvatCnS09Nx8+ZNvcdKpinnfy022mz0P4J0cvbsWeHm5iYACADCzs5O9O/fX2zZskWo1WqpXEREhAAgIiIiNI6Pi4sTAMTGjRulfQEBAQKA+P777zXK9u3bV9SvX7/EmBo3biy6dOlSYP97770nAIgzZ85o7H/nnXeETCYTV69eLfKcT548EZaWlmLx4sVCCCHu3r0rAIi5c+cKa2tr8ezZMyGEEOPHjxdKpbLI82RnZ4usrCwxbtw40aJFC433VCqVCAgIkF4XVjeF0eW+VCqV6NevX7Hny2Nra6sRT56NGzcKAGLSpEka+1esWCEAiISEBCGEEHfu3BHm5uZi6tSpGuXS0tKEQqEQ/v7+xV5/7NixwsLCQly5ckWreIUoun4fPHggLC0txfvvv69R3t/fXzg7O4usrCwhhBA7duwQAMRPP/2kUe7cuXMCgFizZo20T6VSCTMzswKfm7zPet++fTX2f//99wKAOHXqlNb3k9+2bduk71phm4ODQ7HH532mtNnyf1dLUtT3TgghwsLCxPz588XPP/8soqKixOrVq0XNmjWFra2tuHjxYrHnvXfvngAgli1bVuC97du3CwDi5MmTOsVK5U9KSkruz/qyi/jjTo0St5OXXQQAkZKSUtahlzm22OiodevWuHHjBg4ePIj3338f7dq1w9GjRzF69Gj4+vqW+q8+mUyGAQMGaOxr2rQpbt++XepYf/vtNzRq1Aivvvqqxv68VqnffvutyGNtbGzQrl07HDlyBAAQHh6OqlWrYs6cOcjMzMSJEycA5Lbi5F/F9YcffkCHDh1QuXJlmJubw8LCAuvXr8eff/5Z6nvR1329CF9fX43XeX9R5/2MDh06hOzsbIwePVqjJcDKygpdunQp8Fgyv7CwMHTr1g0NGzYstpw29evo6IgBAwZg8+bN0uO5hw8fYt++fRg9ejTMzXO71/3yyy+oWrUqBgwYUKA1RKFQFIi5adOmqFevXqnq50Vs2rQJ586d09j69Omj8XiqMEqlssBxRW1eXl4vHGee3r1746OPPkL//v3RuXNnTJ48GcePH4dMJsMHH3yg1TmKu7eS7psqDrWQab1RLnYeLgULCwv06tULvXr1ApDbz+T111/HL7/8grCwMPTt21fnc9rY2MDKykpjn1wux7Nnz0odZ3JycqHDaZVKpfR+cby9vbFkyRI8efIER44cQffu3eHo6AgvLy8cOXIEtWvXRlxcHD788EPpmN27d8Pf3x9DhgzBnDlzoFAoYG5ujrVr12LDhg2lvhd93ldp5R/NIpfLAUB6XJPXD6Z169aFHl9S/4x//vkHNWvWLLaMLvU7duxY/PTTTwgPD0evXr2wY8cOZGRkaAyxv3//Ph49egRLS8tCr/fgwQON10U9ygNKrp/SyBt5VLNmzQKdcM3MzFCtWrVij7e0tETz5s21upahVyOuVasWOnbsiNOnTxdb7pVXXoFMJiv0c/zf//4XAODg4GCQGMn0aPuYiY+i/sXERg8cHR0RGBiIyMhIXLp0CX379pWSlPydf/P/Q2HouBISEgrsz+vwWtI/Cj169MDChQtx7NgxHD16FIsWLZL2Hz58GO7u7tLrPN999x3c3d2xa9cujb8qS+oErYsXvS9Dybvujz/+qNHpU1vVq1fH3bt3iy2jS/326tULSqUSGzduRK9evbBx40a0adMGjRo10ojZ0dERBw8eLPR6dnZ2Gq+N3VLQvHlzyGQyXL16VeNzBgCXL19GmzZtij3+1q1b0ue0JBEREUXOS6MvQogSE1xra2vUrVsXsbGxBd6LjY2FtbU1ateubagQycTkoBJytOgOm1NiiZcHExsdZGVlITU1tdB5KPIeA+S1GuS1KPzxxx9Syw4A7N+/X+9xyeXyQv8q7tGjB5YtW4aYmBi0bNlS2r9lyxbIZDJ069at2PO++uqrqFKlCkJDQ5GYmIiePXsCyG3JWb58Ob7//ns0atRIumcg9x8+S0tLjX8AExMT9Toq6kXvqyhF1aO2evXqBXNzc/z111+lmmOlT58+2Lp1K65evYr69esXWkaX+jUzM8OoUaMQGhqK48eP4/z58/j66681yvTv3x87d+5ETk5OiUlCWahevTq6d++OLVu2YOLEiVJSEBERgbi4OHz++efFHp/3KEobRdW5vsTFxeH//u//Cjy6Lcxrr72G0NBQxMfHw9XVFUDuqLzdu3fD19dXepRIFZ/Q8jGT4KMoCb8dOkhJSUGtWrUwZMgQeHt7w9XVFY8fP0ZkZCRWrlyJhg0bSsNoFQoFvL29sWzZMrzyyitQqVQ4evQodu/erfe4mjRpgp07d2LXrl2oXbs2rKys0KRJE8yYMQNbtmxBv379sHjxYqhUKhw4cABr1qzBO++8U2RfiTxmZmbo0qULfv75Z7i7u6NOnToAgA4dOkAul+Po0aOYNm2axjF5w4EnTZqE119/HfHx8ViyZAlcXFwKjNAprRe9r6I0adIEkZGR+Pnnn+Hi4gI7Ozud/rGrVasWFi9ejPnz5+PmzZvo3bs3XnnlFdy/fx9nz56Fra2txmO7/BYvXoywsDB07twZ77//Ppo0aYJHjx7h4MGDmDlzJho0aKBz/Y4dOxbLly/HiBEjYG1tjaFDh2q8P2zYMGzbtg19+/bF9OnT8eqrr8LCwgJ3795FREQEBg4ciNdee037SjSATz/9FO3bt8fQoUMxceJE3Lt3D++++y569eqFgQMHFnuspaVlqeaRKcr58+elkVypqakQQuDHH38EkPsIMq+lztvbG507d0bTpk1RpUoVxMbGYsWKFZDJZFiyZInGOXv06IGoqCiNIdyzZ8/G1q1bpc+4XC7Hxx9/jGfPniEoKEhv90Omj4+iSqFMuy6XMxkZGeLTTz8Vffr0EW5ubkIulwsrKyvRsGFD8e6774rk5GSN8gkJCeL1118XDg4Owt7eXrzxxhvi/PnzhY6KsrW1LXC9RYsWCW1+RLdu3RI+Pj7Czs5OABAqlUp67/bt22LEiBHC0dFRWFhYiPr164tPPvlE5OTkaHXPK1euFADE+PHjNfb37NlTABD79+8vcMzHH38satWqJeRyuWjYsKH45ptvCr2X0o6K0uW+dBkVdfHiRdGhQwdhY2MjAEgjXvJGRZ07d06jfFEj3/bu3Su6desmqlSpIuRyuVCpVOL1118XR44cKTGG+Ph4MXbsWKFQKISFhYVQKpXC399f3L9/Xyqjbf3mad++vQAgRo4cWej7WVlZ4tNPPxXNmjUTVlZWonLlyqJBgwZiwoQJ4vr161K5ouoyrx5++OEHjf26/DxLcurUKdGxY0dhZWUlnJycxLRp08Tjx49f+Ly6yhvBWNj2/H0GBgaKRo0aCTs7O2Fubi6USqV44403Ch2J2KVLl0J/djdu3BCDBg0SVapUETY2NqJHjx4iOjrakLdHJiRvVFTYH+7iWFydErewP9w5Kup/ZEJwrXMiIiJTkpqaCnt7exz4ozZs7Uru2P4kLQf9mt5ESkoKqlSpYoQITRcfRREREZkoPorSHRMbIiIiE5UjKiFHiynncvjwRcLEhoiIyESpIdNqgUsugvmvCjHzcFpaGgIDA6FSqWBtbY327dtrPcSTiIjIVKn/N49NSZu6YvxzrhcVoibeeusthIeHY+vWrYiNjYWPjw+8vb1x7969sg6NiIio1PIeRWmzUa5yXxPp6en46aefsGLFCnTu3Bl169ZFUFAQ3N3dsXbt2rIOj4iIqNTU/2uN0WajXOW+j012djZycnIKrLNkbW0tLdSYX0ZGhsYU9Gq1Gv/973/h6OjIxeWIqFwQQiAtLQ1KpbLEZRqo/MoRMuRoMauwNmVeFuU+sbGzs0O7du2wZMkSNGzYEM7OztixYwfOnDkDDw+PQo9ZtmxZsTPAEhGVF/Hx8SUunkrll/ZrRXFUVJ4KMUHfX3/9hbFjx+LYsWMwMzNDy5YtUa9ePcTExODKlSsFyudvsUlJSYGbmxvi4+Nf+omNiKh8SE1NhaurKx49egR7e/uyDof0LG+Cvg0xLWCjxQR9T9NyMLblBU7QhwrQYgMAderUQVRUFJ48eYLU1FS4uLhg6NChRa7qK5fLIZfLC+yvUqXKS/+BIKLyhY/PiTRVqAeztra2cHFxwcOHD3Ho0KESF8gjIiIyZdoM9db2cdXLokK02Bw6dAhCCNSvXx83btzAnDlzUL9+fbz55ptlHRoREVGpqaFdx2C14UMpNypEYpOSkoJ58+bh7t27cHBwwODBg7F06VJYWFiUdWhERESlpu1Qbg73/leFSGz8/f3h7+9f1mEQERHplfZrRTGxyVMhEhsiIqKKiGtF6Y6JDRERkYlii43umNgQERGZKO0n6GNik4eJDRERkYlSCxnU2oyK4pIKEiY2REREJkqtZYsNR0X9i4kNERGRiVKLSlBr0X9GmzIvCyY2REREJioHMuRoMeJJmzIvCyY2REREJootNrpjYkNERGSicqBda0yO4UMpN5jiERERmai8FhttNl1kZ2djwYIFcHd3h7W1NWrXro3FixdDrf531SkhBIKCgqBUKmFtbY2uXbvi8uXL+r5FvWNiQ0REZKLyJujTZtPF8uXL8dVXX2H16tX4888/sWLFCnzyySf44osvpDIrVqxASEgIVq9ejXPnzkGhUKBnz55IS0vT923qFR9FERERmSih5ZIKQsfOw6dOncLAgQPRr18/AECtWrWwY8cOnD9/Pvd8QiA0NBTz58+Hn58fAGDz5s1wdnbG9u3bMWHCBB3vxHjYYkNERGSidG2xSU1N1dgyMjIKPW/Hjh1x9OhRXLt2DQDw+++/48SJE+jbty8AIC4uDomJifDx8ZGOkcvl6NKlC06ePGngu34xRm2xycv6dPHVV1/BycnJANEQERGZNl1nHnZ1ddXYv2jRIgQFBRUoP3fuXKSkpKBBgwYwMzNDTk4Oli5diuHDhwMAEhMTAQDOzs4axzk7O+P27duluRWjMWpis3fvXvj7+8Pa2lqr8tu3b8fjx4+Z2BAR0UtJ17Wi4uPjUaVKFWm/XC4vtPyuXbvw3XffYfv27WjcuDEuXryIwMBAKJVKBAQESOVkMs2kSghRYJ+pMXofm1WrVmmdqPz4448GjoaIiMh06dpiU6VKFY3Epihz5szBe++9h2HDhgEAmjRpgtu3b2PZsmUICAiAQqEAkNty4+LiIh2XlJRUoBXH1Bi1j01ERAQcHBy0Lh8WFoYaNWqUWO7evXt444034OjoCBsbGzRv3hzR0dEvEioREVGZU6OS1psunj59ikqVNI8xMzOThnu7u7tDoVAgPDxcej8zMxNRUVFo3779i9+YARm1xaZLly46le/YsWOJZR4+fIgOHTqgW7duCAsLg5OTE/766y9UrVq1lFESERGZhhwhQ44WLTbalHnegAEDsHTpUri5uaFx48a4cOECQkJCMHbsWAC5j6ACAwMRHBwMDw8PeHh4IDg4GDY2NhgxYkSp7sVYTGK494EDBxAZGYmcnBx06NABgwcP1vrY5cuXw9XVFRs3bpT21apVywBREhERGZeuj6K09cUXX2DhwoWYNGkSkpKSoFQqMWHCBHzwwQdSmXfffRfp6emYNGkSHj58iDZt2uDw4cOws7PT+T6MSSaEEGUZwMKFC7F7927069cPWVlZ+Omnn+Dr64vVq1drdXyjRo3Qq1cv3L17F1FRUahRowYmTZqE8ePHF3lMRkaGxhC41NRUuLq6IiUlRatnk0REZS01NRX29vb8vVVB5f18344aAsvKFiWWz3ychXVdfuDnAWUwj03+vi+7du3C+fPnsWLFCnz++ef4+eefsW3bNq3Pd/PmTaxduxYeHh44dOgQJk6ciGnTpmHLli1FHrNs2TLY29tLW/7hcURERKYgb3VvbTbKZfTE5u2330ZgYCCePn0KAKhduzZCQkJw9epVxMbGYu3atahXr57W51Or1WjZsiWCg4PRokULTJgwAePHj8fatWuLPGbevHlISUmRtvj4+Be+LyIiIn1Ti38fRxW/lXWkpsPoic3Zs2ehUCjQsmVL/Pzzz9iwYQNiYmLQvn17dOrUCXfv3sX27du1Pp+LiwsaNWqksa9hw4a4c+dOkcfI5XJpSJy2Q+OIiIiMzVCLYFZkRu88bGZmhvfeew/+/v545513YGtri9WrV0OpVJbqfB06dMDVq1c19l27dg0qlUof4RIREZUZtZZrRWlT5mVRZile7dq1cejQIQwaNAidO3fGl19+WarzzJgxA6dPn0ZwcDBu3LiB7du3Y926dZg8ebKeIyYiIjKuvOHe2myUy+iJTUpKCubOnYsBAwZgwYIF8PPzw5kzZ3D27Fm0bdsWsbGxOp2vdevW2LNnD3bs2AFPT08sWbIEoaGhGDlypIHugIiIyDj4KEp3Rn8UFRAQgIcPH2L48OE4evQo3nnnHWzduhWbN2/G0aNH4e/vD19fXyxfvlzrc/bv3x/9+/c3YNRERETGp4aW89jwUZTE6InN0aNHceHCBdStWxfjx49H3bp1pfd69OiBmJgYLFmyxNhhERERmRyhZR8bwcRGYvS2Kw8PD6xbtw7Xrl3DV199VaCTr7W1NYKDg40dFhERkcnRbqi3dq06LwujJzYbNmzAb7/9hhYtWmD79u3FzjdDRET0MmMfG90Z/VFU8+bNcf78eWNfloiIqNwx1FpRFZlJLIJJREREBXEeG90Zte3KwcEBDx480Lq8m5sbbt++bcCIiIiITBf72OjOqC02jx49QlhYGOzt7bUqn5ycjJycHANHRUREZJr4KEp3ZTKPDREREZWMiY3ujJrYqNVqY16OiIioXGNiozt2HiYiIjJRAtp1DBaGD6XcYGJDRERkothiozsmNkRERCaKiY3umNgQERGZKCY2umNiQ0REZKKY2OjO6IlNampqiWXMzc1hY2NjhGiIiIhMlxAyCC2SFm3KvCyMnthUrVoVMlnJPwBbW1v07NkTK1euRM2aNY0QGRERkWnhkgq6M3piExERUWIZtVqN+/fv48svv8Tbb7+NX3/91QiRERERmRY+itKd0RObjIwMdOvWDRYWFiWWbdq0Kdq2bWuEqIiIiEwPH0XpzqiLYALAxIkTUb16dQwdOhTbt2/Ho0ePiixbt25dbN261XjBERERmRAugqk7oyc2N2/exLFjx9CkSROEhoZCoVCgR48eWLVqFW7duqVR1tLSEgMHDjR2iERERCYhr8VGm41yGT2xAXIfMS1YsABnz57FzZs3MWTIEBw8eBANGzZEs2bN8MEHH+D8+fNlERoREZHJEFq21jCx+VeZJDbPUyqVmDhxIn799Vc8ePAAH3zwAW7duoXevXsjODi4rMMjIiIqMwKAEFpsZR2oCTGpCfpsbW0xePBgDB48GGq1GsnJyWUdEhERUZlRQwYZh3vrxOgtNn379kVKSor0eunSpRodiJOTk9GoUSNUqlQJ1atXN3Z4REREJoN9bHRn9MTm0KFDyMjIkF4vX74c//3vf6XX2dnZuHr1qrHDIiIiMjkcFaU7oz+KEkIU+5qIiIhy5fWh0aYc5TKpPjZERET0L07QpzujJzYymazAWlHarB1FRET0smFio7syeRQ1ZswYyOVyAMCzZ88wceJE2NraAoBG/xsiIqKXmVrIIONaUToxemITEBCg8fqNN94oUGb06NHGCoeIiMhksY+N7oye2GzcuNHYlyQiIiqXchMbbR5FGSGYcoKdh4mIiEwU+9jojokNERGRiRLQbrkENtj8q8zXiiIiIqLCGXLm4Xv37uGNN96Ao6MjbGxs0Lx5c0RHRz93bYGgoCAolUpYW1uja9euuHz5sj5vzyCY2BAREZkqocOmg4cPH6JDhw6wsLBAWFgYrly5gs8++wxVq1aVyqxYsQIhISFYvXo1zp07B4VCgZ49eyItLU0fd2YwfBRFRERkqrRtjdGxxWb58uVwdXXVGNBTq1atf08nBEJDQzF//nz4+fkBADZv3gxnZ2ds374dEyZM0Ol6xsQWGyIiIhOVN9xbm00X+/fvR6tWrTBkyBA4OTmhRYsW+Oabb6T34+LikJiYCB8fH2mfXC5Hly5dcPLkSX3dnkEwsSEiIjJRuvaxSU1N1diKmvT25s2bWLt2LTw8PHDo0CFMnDgR06ZNw5YtWwAAiYmJAABnZ2eN45ydnaX3TBUTGyIiIlMlZNpvAFxdXWFvby9ty5YtK/S0arUaLVu2RHBwMFq0aIEJEyZg/PjxWLt2rUa5/EseCSFMfhkk9rEhIiIyUbrOPBwfH48qVapI+/OWL8rPxcUFjRo10tjXsGFD/PTTTwAAhUIBILflxsXFRSqTlJRUoBXH1LDFhoiIyFTpOCqqSpUqGltRiU2HDh1w9epVjX3Xrl2DSqUCALi7u0OhUCA8PFx6PzMzE1FRUWjfvr0+71Dv2GJDRERkogw18/CMGTPQvn17BAcHw9/fH2fPnsW6deuwbt06ALmPoAIDAxEcHAwPDw94eHggODgYNjY2GDFiRKnuxVgqTIvNmjVr4O7uDisrK3h5eeH48eNlHRIREdGL0/McNgDQunVr7NmzBzt27ICnpyeWLFmC0NBQjBw5Uirz7rvvIjAwEJMmTUKrVq1w7949HD58GHZ2dnq4KcORCVH+l87atWsXRo0ahTVr1qBDhw74+uuv8e233+LKlStwc3Mr8fjU1FTY29sjJSVF49kkEZGp4u+tii3v5+v69SJUsrYqsbw6/RniJ3xo8p+HvDlxdPHVV1/ByclJ6/IV4lFUSEgIxo0bh7feegsAEBoaikOHDmHt2rVF9ggvzNPMbJhnZhsqTCIivXnK31Uvhwq2WNTevXvh7+8Pa2trrcpv374djx8/frkSm8zMTERHR+O9997T2O/j41PkJEIZGRkaY/tTUlIAAK0++BmV5DaGC5aISE/UGU8B5A6/pYpM9r9Nm3Llw6pVq7ROVH788Uedz1/uE5sHDx4gJydHp0mEli1bhg8//LDA/ntrxxgiRCIig0lOToa9vX1Zh0GGUsFabCIiIuDg4KB1+bCwMNSoUUOna5T7xCaPLpMIzZs3DzNnzpReP3r0CCqVCnfu3DGpXxCpqalwdXUtMC9BWTLFmADGpStTjMsUYwJMN66UlBS4ubnp9I8ElUMVLLHp0qWLTuU7duyo8zXKfWJTrVo1mJmZFWidKW4SIblcXujYfnt7e5P6xZUnbz4CU2KKMQGMS1emGJcpxgSYblyVKlWYwa1UmOdmFS6xXDl24MABREZGIicnBx06dMDgwYNLfa5y/42wtLSEl5eXxiRCABAeHm7ykwgREREVx1CLYJqShQsX4t1334VMJoMQAjNmzMCUKVNKfb5y32IDADNnzsSoUaPQqlUrtGvXDuvWrcOdO3cwceLEsg6NiIio9CrYoygAiI6OhpeXl/R6165d+P3336WRUmPGjEHXrl2xevXqUp2/QiQ2Q4cORXJyMhYvXoyEhAR4enri119/laaGLolcLseiRYuKnHq6rJhiXKYYE8C4dGWKcZliTADjojJWAR9Fvf322+jUqZM0k3Ht2rUREhKC119/HZmZmVi7di3q1atX6vNXiAn6iIiIKhJpgr6Vi7WfoG/6ByY/QR8A5OTk4JNPPsGmTZvwySefwMvLC1OnTpX62HTs2BErV65EnTp1SnX+CtFiQ0REVCFVwEdRZmZmeO+99+Dv74933nkHtra2WL16NZRKpV7OX+47DxMREVVYeY+itNnKmdq1a+PQoUMYNGgQOnfujC+//FIv52ViQ0REZKq0WQCzlAthlpWUlBTMnTsXAwYMwIIFC+Dn54czZ87g7NmzaNu2LWJjY1/o/ExsiIiITFUFTGwCAgJw+vRp9OvXD1evXsU777wDR0dHbN68GUuXLoW/vz/mzp1b6vNX2MRm2bJlaN26Nezs7ODk5IRBgwbh6tWrGmVkMlmh2yeffCKVycjIwNSpU1GtWjXY2trC19cXd+/eNUhMWVlZmDt3Lpo0aQJbW1solUqMHj0af//9t8Z5unbtWiDmYcOGlSqmPMeOHcOAAQOgVCohk8mwd+9ejfcfP36MKVOmoGbNmrC2tkbDhg2xdu1ajTL6rCttYgoKCkKDBg1ga2uLV155Bd7e3jhz5oxGGUPUVWHS0tIQGBgIlUoFa2trtG/fHufOnZPeF0IgKCgISqUS1tbW6Nq1Ky5fvqz3OIqybNkyyGQyBAYGSvvGjBlToG7atm1rtJjyW7NmDdzd3WFlZQUvLy8cP368zGIBgAkTJkAmkyE0NFRjv7E+U8+7f/8+xowZA6VSCRsbG/Tu3RvXr1/XKKPv7x+ZiAqY2Bw9ehTr16/HxIkTsXPnTpw4cUJ6r0ePHoiJiYGZmVmpz19hE5uoqChMnjwZp0+fRnh4OLKzs+Hj44MnT55IZRISEjS2DRs2QCaTacx4GBgYiD179kiV//jxY/Tv3x85OTl6j+np06eIiYnBwoULERMTg927d+PatWvw9fUtcK7x48drxP7111+Xopb+9eTJEzRr1qzIeQNmzJiBgwcP4rvvvsOff/6JGTNmYOrUqdi3b59URp91pU1M9erVw+rVqxEbG4sTJ06gVq1a8PHxwT///KNRTt91VZi33noL4eHh2Lp1K2JjY+Hj4wNvb2/cu3cPALBixQqEhIRg9erVOHfuHBQKBXr27Im0tDS9x5LfuXPnsG7dOjRt2rTAe71799aom19//dXg8RRm165dCAwMxPz583HhwgV06tQJffr0wZ07d8oknr179+LMmTNFdmY0xmcqjxACgwYNws2bN7Fv3z5cuHABKpUK3t7eGr/P9P39IxNRAfvYeHh4YN26dbh27Rq++uqrAlOzWFtbIzg4uPQXEC+JpKQkAUBERUUVWWbgwIGie/fu0utHjx4JCwsLsXPnTmnfvXv3RKVKlcTBgweNEtPZs2cFAHH79m1pX5cuXcT06dNf+PpFASD27Nmjsa9x48Zi8eLFGvtatmwpFixYIIQwfF0VFlN+KSkpAoA4cuSItM/QdSWEEE+fPhVmZmbil19+0djfrFkzMX/+fKFWq4VCoRAff/yx9N6zZ8+Evb29+OqrrwwaW1pamvDw8BDh4eEF6iIgIEAMHDjQoNfX1quvviomTpyosa9BgwbivffeM3osd+/eFTVq1BCXLl0SKpVKfP755xrvG+Mz9byrV68KAOLSpUvSvuzsbOHg4CC++eYbIYThv39kfHm/z9xWfCRqffFpiZvbio8EAJGSklLWoZfowoULwsvLS9jY2Ij27duLK1eu6PX8FbbFJr+UlBQAKHLBuPv37+PAgQMYN26ctC86OhpZWVnw8fGR9imVSnh6euLkyZMGjymvjEwmQ9WqVTX2b9u2DdWqVUPjxo0xe/Zsg//l37FjR+zfvx/37t2DEAIRERG4du0aevXqBcDwdVWSzMxMrFu3Dvb29mjWrJnGe4auq+zsbOTk5MDKSnOuCWtra5w4cQJxcXFITEzUqBu5XI4uXboYvG4mT56Mfv36wdvbu9D3IyMj4eTkhHr16mH8+PFISkoyaDyFyczMRHR0tEb9AICPj49RPjvPU6vVGDVqFObMmYPGjRsXWc6Y37+MjAwA0Ph8mZmZwdLSUmrCL+vvHxlQBXwU1bx5c5w/fx5PnjzB//3f/6Fhw4Z6Pf9LMY+NEAIzZ85Ex44d4enpWWiZzZs3w87ODn5+ftK+xMREWFpa4pVXXtEo6+zsXGDRTUPE9OzZM7z33nsYMWKExoRLI0eOhLu7OxQKBS5duoR58+bh999/L7Belj6tWrUK48ePR82aNWFubo5KlSrh22+/lVZeNWRdFeeXX37BsGHD8PTpU7i4uCA8PBzVqlWT3jdGXdnZ2aFdu3ZYsmQJGjZsCGdnZ+zYsQNnzpyBh4eHdP/5F2V1dnbG7du39RZHfjt37kRMTIxGX5/n9enTB0OGDIFKpUJcXBwWLlyI7t27Izo62qiz2T548AA5OTmF1o8hPzuFWb58OczNzTFt2rQiyxj7+9egQQOoVCrMmzcPX3/9NWxtbRESEoLExEQkJCQAKLvvH5EpeikSmylTpuCPP/7Q6KCU34YNGzBy5MgCf3UXRggBmezFnmeWFFNWVhaGDRsGtVqNNWvWaLw3fvx46f89PT3h4eGBVq1aISYmBi1btnyhuIqyatUqnD59Gvv374dKpcKxY8cwadIkuLi4FNkaAOinrorTrVs3XLx4EQ8ePMA333wDf39/nDlzBk5OTgCMV1dbt27F2LFjUaNGDZiZmaFly5YYMWIEYmJipDL568GQdRMfH4/p06fj8OHDRX6mhw4dKv2/p6cnWrVqBZVKhQMHDmgk+MZizPoBcltdJkyYIL0+cOAAVq5ciZiYmGKva+jPVP64wsLC8NNPP2HcuHFwcHCAmZkZvL290adPnxLPZeg6JMOTAZBp0RpTXn7KDg4OuHbtmsYfoMVxc3PD8ePHtV4iCXgJEpupU6di//79OHbsGGrWrFlomePHj+Pq1avYtWuXxn6FQoHMzEw8fPhQ4y+hpKSkF1o5vKSYsrKy4O/vj7i4OPz2228lTo/dsmVLWFhY4Pr16wZJbNLT0/H+++9jz5496NevHwCgadOmuHjxIj799FN4e3sbrK5KYmtri7p166Ju3bpo27YtPDw8sH79esybN6/Q8oaqqzp16iAqKgpPnjxBamoqXFxcMHToUOkveyD3r2oXFxfpmKSkpAKtFPoSHR2NpKQkjYXmcnJycOzYMaxevRoZGRkFRh24uLhApVIVGG1jaNWqVYOZmVmBlgVD1g8A+Pr6ok2bNtLrH374AUlJSXBzc5P25eTkYNasWQgNDcWtW7cKPY++P1P546pRowasra1x8eJFpKSkIDMzE9WrV0ebNm3QqlUrAIb7XUWkb48ePUJYWBjs7e21Kp+cnKxzB/gKm9gIITB16lTs2bMHkZGRcHd3L7Ls+vXr4eXlVaBvhpeXFywsLBAeHg5/f38AuSOpLl26hBUrVhgkpryk5vr164iIiICjo2OJ5718+TKysrI0/tHUp6ysLGRlZaFSJc0uWWZmZlCr1QD0X1elJYSQ+iQUxtB1ZWtrC1tbWzx8+BCHDh3CihUrpOQmPDwcLVq0AJDbryQqKgrLly83SBw9evQoMMnVm2++iQYNGmDu3LmFDqVMTk5GfHy8weqmKJaWlvDy8kJ4eDhee+01aX94eDgGDhxosOva2dnBzs5Oev32229jwIABGmV69eqFUaNG4c033yzyPPr+TOWP63l5/xhcv34d58+fx5IlSwCYzvePDKACLoIZEBBg0PNX2MRm8uTJ2L59O/bt2wc7Ozvpr0F7e3tpaXQgd6GxH374AZ999lmBc9jb22PcuHGYNWsWHB0d4eDggNmzZ6NJkybFPn4pbUzZ2dl4/fXXERMTg19++QU5OTlSGQcHB1haWuKvv/7Ctm3b0LdvX1SrVg1XrlzBrFmz0KJFC3To0KE0VQUgd56aGzduSK/j4uJw8eJFODg4wM3NDV26dMGcOXNgbW0NlUqFqKgobNmyBSEhIQapq5JicnR0xNKlS+Hr6wsXFxckJydjzZo1uHv3LoYMGQIABqurwhw6dAhCCNSvXx83btzAnDlzUL9+fbz55pvS/DHBwcHw8PCAh4eHtKrtiBEj9BpHHjs7uwJ9t2xtbeHo6AhPT088fvwYQUFBGDx4MFxcXHDr1i28//77qFatmkZyYSwzZ87EqFGj0KpVK7Rr1w7r1q3DnTt3MHHiRKPF4OjoWOAPCQsLCygUCtSvXx+AcT9Tz/vhhx9QvXp1uLm5ITY2FtOnT8egQYOkzsKG+P6Riahga0Xl/TFsUHodY2VCUES/8Y0bN2qU+/rrr4W1tbV49OhRoedJT08XU6ZMEQ4ODsLa2lr0799f3LlzxyAxxcXFFVkmIiJCCCHEnTt3ROfOnYWDg4OwtLQUderUEdOmTRPJycmliilPREREodcNCAgQQgiRkJAgxowZI5RKpbCyshL169cXn332mVCr1dI59FlXJcWUnp4uXnvtNaFUKoWlpaVwcXERvr6+4uzZs9LxhqqrwuzatUvUrl1bWFpaCoVCISZPnqzxmVKr1WLRokVCoVAIuVwuOnfuLGJjY/UeR3GeH6b89OlT4ePjI6pXry4sLCyEm5ubCAgIeKGf14v68ssvhUqlEpaWlqJly5bFToNgLPmHexvzM/W8lStXipo1a0o/qwULFoiMjAyNMvr+/lHZyhvurQpeKtxDPitxUwUvLTfDvQ1NJoQoJ3keERHRyyE1NRX29vaotXQpKmkxqEX97BluzZ+PlJSUEvtlVnQV9lEUERFRuVfBHkUZAxMbIiIiU8XERmdMbIiIiEyUTGg5jw0TGwkTGyIiIlNVAYd7p6amlljG3NwcNjY2pTo/ExsiIiJTVQEfRVWtWlWrGbFtbW3Rs2dPrFy5ssgJdgtTpotgHjt2DAMGDIBSqYRMJsPevXs13hdCICgoCEqlEtbW1ujatSsuX76sUSYjIwNTp05FtWrVYGtrC19fX9y9e9eId0FERGQYeY+itNnKi4iICPz222/FbkeOHMG6deuQlJSEt99+W6fzl2mLzZMnT9CsWTO8+eabGDx4cIH3V6xYgZCQEGzatAn16tXDRx99hJ49e+Lq1avSzJyBgYH4+eefsXPnTjg6OmLWrFno378/oqOjC51dlYiIqNyogC02GRkZ6NatGywsLEos27RpU7Rt21an85vMPDYymQx79uzBoEGDAOS21iiVSgQGBmLu3LkAcivD2dkZy5cvx4QJE5CSkoLq1atj69at0oJ+f//9N1xdXfHrr7+iV69eWl1brVbj77//hp2dHReMI6JyQQiBtLQ0KJXKAsudlIS/817Mi9S9tvLmsam9MBhmWsxjk/PsGW4ueb9czGNTu3Zt/Pe//0WvXr0wcOBA9O3bF1WrVi20bGZmJsLCwnRaXsVk+9jExcUhMTFRmjIcAORyObp06YKTJ09iwoQJiI6ORlZWlkYZpVIJT09PnDx5ssjEJiMjQ2M9oXv37qFRo0aGuxkiIgOJj4/Xqf8B8O8fgPRiSlP3OquALTY3b97EH3/8gf379yM0NBRjx45Fhw4dMHDgQPj6+qJWrVpSWUtLS53XjDPZxCZvjaT8q/s6Ozvj9u3bUhlLS0uN1WzzyuRfKfh5y5Ytw4cfflhgf0f0hTlKbhojIipr2cjCCfxa5IKZxck7Jj4+3uT/ujdFqampcHV1LVXd66wCJjZA7iOmpk2bYsGCBfj777+xf/9+7N+/H3PnzkW9evWkJCdvBXtdmGxikyd/M6kQosSm05LKzJs3DzNnzpRe531IzWEBcxkTGyIqB/73D1lpHiXlHWNnZ8fE5gUY4zHeyzCPjVKpxMSJEzFx4kQ8efIEBw8exL59+9C7d2/MnDkT77//vk7nM9nERqFQAMhtlXFxcZH2JyUlSa04CoUCmZmZePjwoUarTVJSEtq3b1/kueVyOeRyuYEiJyIqH9KzcmBf1kEQPcfW1haDBw/G4MGDoVarkZycrPM5ynS4d3Hc3d2hUCgQHh4u7cvMzERUVJSUtHh5ecHCwkKjTEJCAi5dulRsYkNERFQuCB22cqJv375ISUmRXi9duhSPHj2SXicnJ6NRo0aoVKkSqlevrvP5y7TF5vHjx7hx44b0Oi4uDhcvXoSDgwPc3NwQGBiI4OBgeHh4wMPDA8HBwbCxscGIESMAAPb29hg3bhxmzZoFR0dHODg4YPbs2WjSpAm8vb3L6raIiIj0oiI+ijp06JDGAJ7ly5dj+PDh0sio7OxsXL16tdTnL9PE5vz58+jWrZv0Oq/fS0BAADZt2oR3330X6enpmDRpEh4+fIg2bdrg8OHDGh22Pv/8c5ibm8Pf3x/p6eno0aMHNm3axDlsiIioYihHSYs28s8yo+9ZZ8o0senatWuxNySTyRAUFISgoKAiy1hZWeGLL77AF198YYAIiYiIylAFHRVlSCbbeZiIiOhlVxEfRclksgIjyvQ5wsxkOw8TERG99IzUeXjZsmWQyWQIDAz899JarNdYGkIIjBkzBn5+fvDz88OzZ88wceJE6fXYsWNf6PxssSEiIjJRxmixOXfuHNatW4emTZtq7NdmvcbSCAgI0Hj9xhtvFCgzevToUp+fiQ0REZGpMnAfm8ePH2PkyJH45ptv8NFHH/17OiEQGhqK+fPnw8/PDwCwefNmODs7Y/v27ZgwYULpLghg48aNpT5WG3wURUREZKp0fBSVmpqqsT0/rLowkydPRr9+/QpMkVLSeo2mjIkNERGRicp7FKXNBgCurq6wt7eXtmXLlhV57p07dyImJqbQMsWt11jcWoymgI+iiIiITJWOj6LyL2xa1PJB8fHxmD59Og4fPgwrK6siT1ua9RrLGhMbIiIiU6VjYlOlShWtFjaNjo5GUlISvLy8pH05OTk4duwYVq9eLc38W9x6jaaKj6KIiIhMlK6PorTVo0cPxMbG4uLFi9LWqlUrjBw5EhcvXkTt2rVLXK/RVLHFhoiIyFQZaFSUnZ0dPD09NfbZ2trC0dFR2l/Seo2miokNERGRiSrLmYe1Wa/RFDGxISIiMlVGXCsqMjJS47U26zWaIiY2REREpoqLYOqMiQ0REZGJkv1v06Yc5WJiQ0REZKrYYqMzJjZEREQmqiw7D5dXTGyIiIhMFVtsdMbEhoiIyJQxadGJVolNamqqzifWZkpnIiIiKhofRelOq8SmatWqOi16JZPJcO3aNdSuXbvUgREREb30+ChKZ1o/ivrxxx/h4OBQYjkhBPr27ftCQRERERFbbEpDq8RGpVKhc+fOcHR01OqktWvXhoWFxQsFRkRE9NJji43OtEps4uLidDrppUuXShUMERER/YstNrrjqCgiIiJTxRYbnZUqsTl79iwiIyORlJQEtVqt8V5ISIheAiMiInrpMbHRmc6JTXBwMBYsWID69evD2dlZY7SULiOniIiIqHh8FKU7nROblStXYsOGDRgzZowBwiEiIiIJW2x0pnNiU6lSJXTo0MEQsRAREdFzZEJAJkrOWrQp87KopOsBM2bMwJdffmmIWIiIiOh5QoeNAJSixWb27Nno168f6tSpg0aNGhWYr2b37t16C46IiOhlxj42utO5xWbq1KmIiIhAvXr14OjoCHt7e41N32rVqgWZTFZgmzx5MgBgzJgxBd5r27at3uMgIiIyOrbY6EznFpstW7bgp59+Qr9+/QwRTwHnzp1DTk6O9PrSpUvo2bMnhgwZIu3r3bs3Nm7cKL22tLQ0SmxERESGxBYb3emc2Dg4OKBOnTqGiKVQ1atX13j98ccfo06dOujSpYu0Ty6XQ6FQGC0mIiIio+CoKJ3p/CgqKCgIixYtwtOnTw0RT7EyMzPx3XffYezYsRpz5kRGRsLJyQn16tXD+PHjkZSUZPTYiIiI9C2vxUabjXLp3GKzatUq/PXXX3B2dkatWrUKdB6OiYnRW3D57d27F48ePdKYQ6dPnz4YMmQIVCoV4uLisHDhQnTv3h3R0dGQy+WFnicjIwMZGRnS69TUVIPFTEREVGpssdGZzonNoEGDDBCGdtavX48+ffpAqVRK+4YOHSr9v6enJ1q1agWVSoUDBw7Az8+v0PMsW7YMH374ocHjJSIielFsjdGNzonNokWLDBFHiW7fvo0jR46UOJzcxcUFKpUK169fL7LMvHnzMHPmTOl1amoqXF1d9RYrERGRXgiRu2lTjgCUo9W9N27cCCcnpxJHYyUnJyM+Ph4uLi5FlpHL5UU+piIiIjIVHBWlO606Dzs4OODBgwdan9TNzQ23b98udVD5qdVqbNy4EQEBATA3/zcXe/z4MWbPno1Tp07h1q1biIyMxIABA1CtWjW89tprers+ERFRmeA8NjrTqsXm0aNHCAsL03oCvuTkZI25Z17UkSNHcOfOHYwdO1Zjv5mZGWJjY7FlyxY8evQILi4u6NatG3bt2gU7Ozu9XZ+IiKgsyNS5mzblKJfWj6ICAgIMGUexfHx8IAp5fmhtbY1Dhw6VQURERERGwFFROtMqsVGrmQoSEREZG/vY6K7cdB4mIiJ66XBUlM6Y2BAREZkottjojokNERGRqWIfG50xsSEiIjJRbLHRHRMbIiIiU8U+NjrTeXXv7t27F7rO0sOHD9G9e3e9BEVERERc3bs0dG6xiYyMRGxsLC5cuIBt27bB1tYWAJCZmYmoqCi9B0hERPTSYh8bnencYgPkzgScmJiItm3b4tatW3oOiYiIiAC22JRGqRIbFxcXREVFoWnTpmjdujUiIyP1HBYRERFBLbTfCEApEhuZTAYgd4Xsbdu2Yfr06ejduzfWrFmj9+CIiIhealwEU2c697HJv2bTggUL0LBhwzJdS4qIiKgikkHL4d4Gj6T80LnFJi4uDtWrV9fYN3jwYJw5cwYbNmzQW2BEREQvvbzh3tpsOli2bBlat24NOzs7ODk5YdCgQbh69Wq+SwsEBQVBqVTC2toaXbt2xeXLl/V5dwahc2KjUqmkx1HPa9y4MVttiIiI9MhQnYejoqIwefJknD59GuHh4cjOzoaPjw+ePHkilVmxYgVCQkKwevVqnDt3DgqFAj179kRaWpqe71K/OEEfERGRqTLQcO+DBw9qvN64cSOcnJwQHR2Nzp07QwiB0NBQzJ8/H35+fgCAzZs3w9nZGdu3b8eECRN0u6ARlWpUFBERERmeTAitNwBITU3V2DIyMrS6TkpKCgDAwcEBQG63k8TERPj4+Ehl5HI5unTpgpMnT+r5LvWLiQ0REZGpUuuwAXB1dYW9vb20LVu2rMRLCCEwc+ZMdOzYEZ6engCAxMREAICzs7NGWWdnZ+k9U8VHUURERCbq+daYksoBQHx8PKpUqSLtl8vlJR47ZcoU/PHHHzhx4kTB8+brUyuEKLSfrSlhYkNERGSqdOxjU6VKFY3EpiRTp07F/v37cezYMdSsWVPar1AoAOS23Li4uEj7k5KSCrTimBo+iiIiIjJVBhruLYTAlClTsHv3bvz2229wd3fXeN/d3R0KhQLh4eHSvrw1Idu3b6+XWzMUttgQERGZKG2Hcus63Hvy5MnYvn079u3bBzs7O6nfjL29PaytrSGTyRAYGIjg4GB4eHjAw8MDwcHBsLGxwYgRI0pxJ8bDxIaIiMhUadsao2OLzdq1awEAXbt21di/ceNGjBkzBgDw7rvvIj09HZMmTcLDhw/Rpk0bHD58GHZ2djpdy9iY2BAREZkomTp306acLvIvj1ToOWUyBAUFISgoSLeTlzEmNkRERKbKQC02FRkTGyIiIlNloJmHKzImNkRERCZK13lsiIkNERGR6eKjKJ0xsSEiIjJVAtJyCSWWIwBMbIiIiEwWH0XpjokNERGRqRLQ8lGUwSMpN5jYEBERmSr2sdGZSa8VFRQUBJlMprHlLcwF5E4wFBQUBKVSCWtra3Tt2hWXL18uw4iJiIj0SK3DRgBMPLEBgMaNGyMhIUHaYmNjpfdWrFiBkJAQrF69GufOnYNCoUDPnj2RlpZWhhETERHpR14fG202ymXyiY25uTkUCoW0Va9eHUBua01oaCjmz58PPz8/eHp6YvPmzXj69Cm2b99exlETEZk+awuzsg6BSO9MPrG5fv06lEol3N3dMWzYMNy8eRMAEBcXh8TERPj4+Ehl5XI5unTpgpMnTxZ7zoyMDKSmpmpsREQvG5lMVtYhUEny+thosxEAE+883KZNG2zZsgX16tXD/fv38dFHH6F9+/a4fPmytMS6s7OzxjHOzs64fft2seddtmwZPvzwwwL7s5HFnuVEVC5kIwuAdosZ5pd3DP+oK528eitN3euMnYd1ZtKJTZ8+faT/b9KkCdq1a4c6depg8+bNaNu2LYCCf3EIIUr8K2TevHmYOXOm9DouLg7NmzfHCfyqx+iJiAwvLS0N9vb2Oh2TnJwMAHB1dTVESC+N5ORkneteZ0xsdGbSiU1+tra2aNKkCa5fv45BgwYBABITE+Hi4iKVSUpKKtCKk59cLodcLpdeq1QqAMCdO3cM/yHVQWpqKlxdXREfH48qVaqUdTgSU4zLFGMCTDMuU4wJYFy6yIvpypUrUCqVOh/v4OAAwPR+570IY/6cUlJS4ObmJtWjQakBaPPEkKOiJOUqscnIyMCff/6JTp06wd3dHQqFAuHh4WjRogUAIDMzE1FRUVi+fLlO561UKberkb29vcn84npelSpVGJeWTDEmwDTjMsWYAMalixo1aki/v3Rh6r/zXoQxf06lqXtdceZh3Zl0YjN79mwMGDAAbm5uSEpKwkcffYTU1FQEBARAJpMhMDAQwcHB8PDwgIeHB4KDg2FjY4MRI0aUdehEREQvjo+idGbSic3du3cxfPhwPHjwANWrV0fbtm1x+vRp6dHRu+++i/T0dEyaNAkPHz5EmzZtcPjwYdjZ2ZVx5ERERHqgFoBMi6RFzcQmj0knNjt37iz2fZlMhqCgIAQFBb3QdeRyORYtWqTR78YUMC7tmWJMgGnGZYoxAYxLFy8akyne04sy5j0Ztf7YYqMzmTDKeDUiIiLSVmpqKuzt7eFdexrMK5WcQGWrM3Dk5iqkpKRUuH5TujLpFhsiIqKXGltsdMbEhoiIyFSpBbSaOZZ9bCRMbIiIiEyVUOdu2pQjAExsiIiITBcfRenM5BfBLK1ly5ahdevWsLOzg5OTEwYNGoSrV69qlJHJZIVun3zyiVQmIyMDU6dORbVq1WBrawtfX1/cvXvXYHFlZWVh7ty5aNKkCWxtbaFUKjF69Gj8/fffGufp2rVrgbiHDRtW6riOHTuGAQMGQKlUQiaTYe/evRrvP378GFOmTEHNmjVhbW2Nhg0bYu3atRpl9F1XJcUUFBSEBg0awNbWFq+88gq8vb1x5swZjTL6rqeipKWlITAwECqVCtbW1mjfvj3OnTsnvS+EQFBQEJRKJaytrdG1a1dcvnxZ73EUZdmyZdLcT3nGjBlToG7ylioxtjVr1sDd3R1WVlbw8vLC8ePHyySO502YMAEymQyhoaEa+431mXre/fv3MWbMGCiVStjY2KB37964fv26Rhltv3+mWNcv6t69e3jjjTfg6OgIGxsbNG/eHNHR0Xq/Tknfc4NQC+03AlCBE5uoqChMnjwZp0+fRnh4OLKzs+Hj44MnT55IZRISEjS2DRs2QCaTYfDgwVKZwMBA7NmzBzt37sSJEyfw+PFj9O/fHzk5OQaJ6+nTp4iJicHChQsRExOD3bt349q1a/D19S1wrvHjx2vE//XXX5cqJgB48uQJmjVrhtWrVxf6/owZM3Dw4EF89913+PPPPzFjxgxMnToV+/btk8rou65KiqlevXpYvXo1YmNjceLECdSqVQs+Pj74559/NMrps56K8tZbbyE8PBxbt25FbGwsfHx84O3tjXv37gEAVqxYgZCQEKxevRrnzp2DQqFAz549kZaWpvdY8jt37hzWrVuHpk2bFnivd+/eGnXz66/GXy9t165dCAwMxPz583HhwgV06tQJffr0wZ07d4weS569e/fizJkzRS5XYIzPVB4hBAYNGoSbN29i3759uHDhAlQqFby9vTV+n2nz/TPFun5RDx8+RIcOHWBhYYGwsDBcuXIFn332GapWrar3a5X0PTcIru6tO/GSSEpKEgBEVFRUkWUGDhwounfvLr1+9OiRsLCwEDt37pT23bt3T1SqVEkcPHjQaHGdPXtWABC3b9+W9nXp0kVMnz5dLzHkB0Ds2bNHY1/jxo3F4sWLNfa1bNlSLFiwQAhh+LoqLKb8UlJSBABx5MgRaZ8h6ynP06dPhZmZmfjll1809jdr1kzMnz9fqNVqoVAoxMcffyy99+zZM2Fvby+++uorg8aWlpYmPDw8RHh4eIG6CAgIEAMHDjTo9bXx6quviokTJ2rsa9CggXjvvffKJJ67d++KGjVqiEuXLgmVSiU+//xzjfeN8Zl63tWrVwUAcenSJWlfdna2cHBwEN98840QQvvvn6nVtT7MnTtXdOzY0eDXKel7rm95v8+8XSaI3jWmlrh5u0wQAERKSoreYylvKmyLTX4pKSkAUOSiZffv38eBAwcwbtw4aV90dDSysrLg4+Mj7VMqlfD09MTJkyeNEldeGZlMVuAvkG3btqFatWpo3LgxZs+ebdC//jt27Ij9+/fj3r17EEIgIiIC165dQ69evQAYp66Kk5mZiXXr1sHe3h7NmjXTeM/Q9ZSdnY2cnBxYWVlp7Le2tsaJEycQFxeHxMREjbqRy+Xo0qWLwetm8uTJ6NevH7y9vQt9PzIyEk5OTqhXrx7Gjx+PpKQkg8aTX2ZmJqKjozXqBgB8fHyM8rnJT61WY9SoUZgzZw4aN25cZDljfvcyMjIAQOPzZWZmBktLS5w4cQKAdt8/U6trfdm/fz9atWqFIUOGwMnJCS1atMA333yj9+uU9D03GLbY6Oyl6DwshMDMmTPRsWNHeHp6Flpm8+bNsLOzg5+fn7QvMTERlpaWeOWVVzTKOjs7IzEx0ShxPXv2DO+99x5GjBihMenSyJEjpYVAL126hHnz5uH3339HeHj4C8dVmFWrVmH8+PGoWbMmzM3NUalSJXz77bfo2LEjAMPXVVF++eUXDBs2DE+fPoWLiwvCw8NRrVo16X1j1JOdnR3atWuHJUuWoGHDhnB2dsaOHTtw5swZeHh4SPeff9V5Z2dn3L59W29x5Ldz507ExMQU2QegT58+GDJkCFQqFeLi4rBw4UJ0794d0dHRRpuR9sGDB8jJySm0bgz5uSnK8uXLYW5ujmnTphVZxtjfvQYNGkClUmHevHn4+uuvYWtri5CQECQmJiIhIQGAdt8/U6trfbl58ybWrl2LmTNn4v3338fZs2cxbdo0yOVyjB49Wm/XKel7bjBqNbRaulvNUVF5XorEZsqUKfjjjz+Kzao3bNiAkSNHFsjGCyOEgEymzTryLxZXVlYWhg0bBrVajTVr1mi8N378eOn/PT094eHhgVatWiEmJgYtW7Z84djyW7VqFU6fPo39+/dDpVLh2LFjmDRpElxcXIpsDQD0V1dF6datGy5evIgHDx7gm2++gb+/P86cOQMnJycAxqunrVu3YuzYsahRowbMzMzQsmVLjBgxAjExMVKZ/PVgyLqJj4/H9OnTcfjw4SI/00OHDpX+39PTE61atYJKpcKBAwc0EnxjMGbd5Nm2bRsmTJggvT5w4ABWrlyJmJiYYq9t6M9U/rjCwsLw008/Ydy4cXBwcICZmRm8vb3Rp0+fEs9VWD2WRV0bklqtRqtWrRAcHAwAaNGiBS5fvoy1a9fqNbEBtPue6x1HRemswj+Kmjp1Kvbv34+IiAjUrFmz0DLHjx/H1atX8dZbb2nsVygUyMzMxMOHDzX2JyUlFfirR99xZWVlwd/fH3FxcQgPDy9xiuyWLVvCwsKiwEgJfUhPT8f777+PkJAQDBgwAE2bNsWUKVMwdOhQfPrppwAMW1fFsbW1Rd26ddG2bVusX78e5ubmWL9+fZHlDVVPderUQVRUFB4/foz4+HicPXsWWVlZ0l/2AAr8VWzIuomOjkZSUhK8vLxgbm4Oc3NzREVFYdWqVTA3Ny+0Q7eLiwtUKpVBPkNFqVatGszMzIxaN3l8fX1x8eJFaTt58iSSkpLg5uYm1dnt27cxa9Ys1KpVq8jz6PszlT+uVq1awcvLCxcvXsSjR4+QkJCAgwcPIjk5Ge7u7gC0+/6VZV0bkouLCxo1aqSxr2HDhgbpEF3c99xg+ChKZxU2sRFCYMqUKdi9ezd+++23Yj9469evh5eXV4G+GV5eXrCwsNBoYk5ISMClS5fQvn17g8WVl9Rcv34dR44cgaOjY4nnvXz5MrKysuDi4lKquIqTlZWFrKwsVKqk+XExMzOD+n/Nn4aoq9IQQkh9EgpjyHoCchMtFxcXPHz4EIcOHcLAgQOl5Ob5usnMzERUVJTB6qZHjx6IjY0t8A/kyJEjcfHiRZiZmRU4Jjk5GfHx8Qarm8JYWlrCy8urwGOc8PBwg39u7OzsULduXWl7++238ccff2jUmVKpxJw5c3Do0KEiz6Pvz1T+uKytraX37O3tUb16dVy/fh3nz5/HwIEDAWj3/SvLujakDh06FJjK49q1a1CpVAa7ZmHfc4PhcG/dlU2fZcN75513hL29vYiMjBQJCQnS9vTpU41yKSkpwsbGRqxdu7bQ80ycOFHUrFlTHDlyRMTExIju3buLZs2aiezsbIPElZWVJXx9fUXNmjXFxYsXNcpkZGQIIYS4ceOG+PDDD8W5c+dEXFycOHDggGjQoIFo0aJFqeNKS0sTFy5cEBcuXBAAREhIiLhw4YI0EqtLly6icePGIiIiQty8eVNs3LhRWFlZiTVr1hisroqL6fHjx2LevHni1KlT4tatWyI6OlqMGzdOyOVyafSIIeqpKAcPHhRhYWHi5s2b4vDhw6JZs2bi1VdfFZmZmUIIIT7++GNhb28vdu/eLWJjY8Xw4cOFi4uLSE1N1WscxXl+NE9aWpqYNWuWOHnypIiLixMRERGiXbt2okaNGkaNSQghdu7cKSwsLMT69evFlStXRGBgoLC1tRW3bt0yahyFyT8qypifqed9//33IiIiQvz1119i7969QqVSCT8/P40y2nz/TLmuS+vs2bPC3NxcLF26VFy/fl1s27ZN2NjYiO+++07v1yrpe65PeaOierwSIHo5ji9x6/FKAEdF/U+FTWyQu7hGgW3jxo0a5b7++mthbW0tHj16VOh50tPTxZQpU4SDg4OwtrYW/fv3F3fu3DFYXHFxcUWWiYiIEEIIcefOHdG5c2fh4OAgLC0tRZ06dcS0adNEcnJyqeOKiIgo9JoBAQFCCCESEhLEmDFjhFKpFFZWVqJ+/fris88+E2q1WjqHvuuquJjS09PFa6+9JpRKpbC0tBQuLi7C19dXnD17VjreEPVUlF27donatWsLS0tLoVAoxOTJkzU+U2q1WixatEgoFAohl8tF586dRWxsrN7jKM7zic3Tp0+Fj4+PqF69urCwsBBubm4iICDghX5eL+LLL78UKpVKWFpaipYtWxY7/YEx5U9sjPmZet7KlStFzZo1pZ/VggULpD908mj7/TPVun4RP//8s/D09BRyuVw0aNBArFu3ziDXKel7rk9SYlN1tOj1ylslbj2qjmZi8z8yIfhgjoiIyJSkpqbC3t4ePexHwVxmWWL5bJGJoylbkZKSUmKfzIrupRgVRUREVC6p1YCMi2DqgokNERGRqZJ6MGhTjgAmNkRERCZLqNUQWrTYCLbYSJjYEBERmSq22OiMiQ0REZGpUgtAxsRGF0xsiIiITJUQ0GqtKCY2kgo78zAREVF5J9RC66001qxZA3d3d1hZWcHLywvHjx/X8x0YHxMbIgOJjIyETCaDTCbDoEGDtDpmzJgx0jF79+41aHxEpizve1C1atUXOk9pvocmRai133S0a9cuBAYGYv78+bhw4QI6deqEPn36GGSdLWNiYkNkYFevXsWmTZuk148fP8awYcPg4uKCYcOG4cmTJ9J7K1euREJCQhlESVQ6zyfjz2+9e/cuUNbd3R0HDx6Uko1Hjx4Ve+6NGzfi2rVr0usLFy6gRYsWqFy5Mnx9fTUW/czOzkbLli1x7tw5jXO0b98eCQkJ8Pf3f7EbLSOGbLEJCQnBuHHj8NZbb6Fhw4YIDQ2Fq6sr1q5da4A7MR4mNkQG5uTkpPFXZ2hoKCpXrozDhw/DxsYGoaGh0nv29vbSauBE5UXv3r2RkJCgse3YsUOjzB9//IHk5GR069ZN6/NWrVoVTk5O0uu33noL3bt3R0xMDB49eoTg4GDpvU8//RQdO3ZE69atNc5haWkJhUKhsZhoeZItMpCt1mITuYv/pqamamxFLQqcmZmJ6Oho+Pj4aOz38fHByZMnDX5fhsTOw0RaSElJwZQpU9C2bVv89ddf+Pbbb9G2bVusX78erq6uOp3r0aNHqFevHpo0aYIGDRrgwYMHBoqayDjkcnmJCfm+ffvQq1cvyOXyUl/nzz//xLZt21CvXj0MHz4cv/zyCwDg5s2b2LBhA6Kjo0t9blOTl5CdSPxV62MqV65c4PfRokWLEBQUVKDsgwcPkJOTA2dnZ439zs7OSExMLFXMpoKJDZEWJk+ejFOnTmH27NmYOnUqvvrqK3z//ffo168ffv/9d8hkMq3PNWXKFPTo0QPz589H3bp1ceTIEQNGTmQa9u/fj+nTp7/QOZo1a4bw8HDUrVsXR48eRdOmTQEAEydOxIoVK2BnZ6ePUE2ClZUV4uLikJmZqfUxQogCv4tKSiTzly/sHOUNH0URlSAlJQXbt2/H0qVLUbVqVQgh8Oqrr+Kzzz5DbGxsgWf6JalVqxauX7+O+Ph4XLlyBTVq1DBQ5ETG8csvv6By5coa25IlS6T37927h99//x19+/Z9oet8++23+PHHH1GnTh1YWlpi3rx52LJlC2xsbNC6dWv06tULdevWxYIFC170lkyClZUVqlSpovVmb29fYF9RiU21atVgZmZWoHUmKSmpQCtOecMWG6IS3Lx5E0IItG/fHmr1vyMPmjRpAgsLC9y8eROvvvqqTuesVKkS+9JQhdGtW7cCHU4dHByk/9+/fz86dOigsa80GjdujKioKOl1cnIygoKCcOzYMUydOhUdOnTA7t270bp1a7Rp0wYDBgx4oetVZJaWlvDy8kJ4eDhee+01aX94eDgGDhxYhpG9OCY2RCUwMzMrdL8QAmq1ukI1fxOVhq2tLerWrVvk+/v37zfIP5YzZsxAYGAgatasicjISHz00UewtbVFv379EBkZycSmBDNnzsSoUaPQqlUrtGvXDuvWrcOdO3cwceLEsg7thTCxISpBXrP3mTNnNEZcXLx4ETk5OWjYsGEZRkdk2h4/foyIiAh8+eWXej3v0aNH8Z///EeaSiEnJwdZWVkAIP2Xijd06FAkJydj8eLFSEhIgKenJ3799VeoVKqyDu2FsI8NUQlsbW3x9ttvY968eYiJiQEAxMbG4q233sLrr7+O2rVrl3GERGUrIyMDiYmJGlveaL+DBw/Cw8NDr9+T9PR0TJ48GevWrUOlSrn/jHXo0AFffvklfv/9d/z000/o0KGD3q5XkU2aNAm3bt1CRkYGoqOj0blz57IO6YWxxYZICytWrMDTp08xevRoAMCECRPQr18/rFu3rowjIyp7Bw8ehIuLi8a++vXr4z//+Q/27dtX4DFUXl81c/PS/RO0ePFi9O/fH82bN5f2rVq1CiNGjEDnzp0xYsQIDB48uFTnpvKPiQ2RFqytrbF+/XosXLgQ7u7uOHnypMYvVaKX1aZNmzRm1n5eTk4Ofv31V4SFhWnsT0pKgq2tLSpXrlyqay5btqzAvrp16+Ls2bOlOh9VLHwURWRgNWvWxPDhw7UqO3HixFL/sicyNcnJyZgxY4bUNy0jIwNXrlzB6tWr4e3tXeLxw4cPR82aNV8ohuPHj6Ny5crYtm3bC52Hyg+ZEFzrnEhbt27dgru7Oy5cuFBii016ejru3bsHIHdGUG2GdyclJSE1NRUA4OLiAltb2xeOmchU7N27F6NGjUL79u3xzTffwM3NrciyN27cAJA7KtHd3b3U1yzN95DKNyY2REREVGHwURQRERFVGExsiIiIqMJgYkNEREQVBhMbIiIiqjCY2BAREVGFwcSGiIiIKgwmNkRERFRhMLEhIiKiCoOJDREREVUY/w8TuX0gyudW1AAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 640x480 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "R_i = 1.0\n",
    "E = E_StoCW * R_i * 100\n",
    "\n",
    "fig, ax = plt.subplots()\n",
    "\n",
    "plt.imshow(np.fliplr(np.flipud(E)),vmin=0.0, vmax=100.0,)\n",
    "plt.xticks([0,45,90,135,180,225,270,315,360],[\"270\",\"225\",\"180\",\"135\",\"90\",\"45\",\"0\",\"-45\",\"-90\"])\n",
    "plt.yticks([0,50,100],[\"100\",\"75\",\"50\"])\n",
    "\n",
    "plt.colorbar (label=\"E/J [%]\",shrink=0.7)\n",
    "\n",
    "plt.xlabel('φ [°]')\n",
    "plt.ylabel('z [m]')\n",
    "\n",
    "# # create new axes on the right and on the top of the current axes.\n",
    "divider = make_axes_locatable(ax)\n",
    "axright = divider.append_axes(\"right\", size=0.8, pad=0.15)#, sharey=ax)\n",
    "axright.plot(E.T[90],a_WA)\n",
    "plt.xlim(0,9)\n",
    "plt.xticks([0,6,9])\n",
    "plt.yticks([])\n",
    "plt.xlabel('E/J [%]')\n",
    "\n",
    "E=np.fliplr(np.flipud(E))\n",
    "\n",
    "axtop = divider.append_axes(\"top\", size=0.8, pad=0.3)#, sharey=ax)\n",
    "axtop.plot(b_WA,E[50])\n",
    "plt.ylim(0, 9)\n",
    "plt.yticks([0,6,9])\n",
    "plt.xlim(-90, 270)\n",
    "plt.xticks([-90,-45,0,45,90,135,180,225,270],[\"270\",\"225\",\"180\",\"135\",\"90\",\"45\",\"0\",\"-45\",\"-90\"])\n",
    "plt.ylabel('E/J [%]')\n",
    "\n",
    "plt.title(\"\\\"Sun to wall of the cavern\\\" θ = {}\".format(theta))\n",
    "print(np.max(E),np.min(E))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.0 0.0\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "R_i = 1.0\n",
    "E = E_FLtoWA * R_i * 100\n",
    "\n",
    "fig, ax = plt.subplots()\n",
    "\n",
    "plt.imshow(np.fliplr(np.flipud(E)),vmin=0.0, vmax=1.5,)\n",
    "plt.xticks([0,45,90,135,180,225,270,315,360],[\"270\",\"225\",\"180\",\"135\",\"90\",\"45\",\"0\",\"-45\",\"-90\"])\n",
    "plt.yticks([0,50,100],[\"100\",\"75\",\"50\"])\n",
    "\n",
    "plt.colorbar (label=\"E/J [%]\",shrink=0.7)\n",
    "\n",
    "plt.xlabel('φ [°]')\n",
    "plt.ylabel('z [m]')\n",
    "\n",
    "# # create new axes on the right and on the top of the current axes.\n",
    "divider = make_axes_locatable(ax)\n",
    "axright = divider.append_axes(\"right\", size=0.8, pad=0.15)#, sharey=ax)\n",
    "axright.plot(E.T[90],a_WA)\n",
    "plt.xlim(0, 1.5)\n",
    "plt.yticks([])\n",
    "# plt.xticks([6,9,12])\n",
    "# plt.yticks([])\n",
    "plt.xlabel('E/J [%]')\n",
    "\n",
    "E=np.fliplr(np.flipud(E))\n",
    "\n",
    "axtop = divider.append_axes(\"top\", size=0.8, pad=0.3)#, sharey=ax)\n",
    "axtop.plot(b_WA,E[50])\n",
    "plt.ylim(0, 1.5)\n",
    "# plt.yticks([6,9,12])\n",
    "plt.xlim(-90, 270)\n",
    "plt.xticks([-90,-45,0,45,90,135,180,225,270],[\"270\",\"225\",\"180\",\"135\",\"90\",\"45\",\"0\",\"-45\",\"-90\"])\n",
    "plt.ylabel('E/J [%]')\n",
    "\n",
    "plt.title(\"\\\"FL to wall of the hole\\\" θ = {}, R = {}\".format(theta,R_i))\n",
    "print(np.max(E),np.min(E))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.0 0.0\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "R_i = 1.0\n",
    "E = E_FLtoCW * R_i * 100\n",
    "\n",
    "fig, ax = plt.subplots()\n",
    "\n",
    "plt.imshow(np.fliplr(np.flipud(E)),vmin=0.0, vmax=40.0,)\n",
    "plt.xticks([0,45,90,135,180,225,270,315,360],[\"270\",\"225\",\"180\",\"135\",\"90\",\"45\",\"0\",\"-45\",\"-90\"])\n",
    "plt.yticks([0,50,100],[\"100\",\"75\",\"50\"])\n",
    "\n",
    "plt.colorbar (label=\"E/J [%]\",shrink=0.7)\n",
    "\n",
    "plt.xlabel('φ [°]')\n",
    "plt.ylabel('z [m]')\n",
    "\n",
    "# # create new axes on the right and on the top of the current axes.\n",
    "divider = make_axes_locatable(ax)\n",
    "axright = divider.append_axes(\"right\", size=0.8, pad=0.15)#, sharey=ax)\n",
    "axright.plot(E.T[270],a_WA)\n",
    "plt.xlim(0,40)\n",
    "# plt.xticks([0,6,9])\n",
    "plt.yticks([])\n",
    "plt.xlabel('E/J [%]')\n",
    "\n",
    "E=np.fliplr(np.flipud(E))\n",
    "\n",
    "axtop = divider.append_axes(\"top\", size=0.8, pad=0.3)#, sharey=ax)\n",
    "axtop.plot(b_WA,E[50])\n",
    "plt.ylim(0, 20)\n",
    "# plt.yticks([0,6,9])\n",
    "plt.xlim(-90, 270)\n",
    "plt.xticks([-90,-45,0,45,90,135,180,225,270],[\"270\",\"225\",\"180\",\"135\",\"90\",\"45\",\"0\",\"-45\",\"-90\"])\n",
    "plt.ylabel('E/J [%]')\n",
    "\n",
    "plt.title(\"\\\"FL to wall of the cavern\\\" θ = {}, R = {}\".format(theta,R_i))\n",
    "print(np.max(E),np.min(E))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.0 0.0\n"
     ]
    }
   ],
   "source": [
    "#入力データのグラフの出力\n",
    "R_i = 1.0\n",
    "E = E_FLtoCC * R_i * 100\n",
    "\n",
    "fig, ax = plt.subplots()\n",
    "plt.imshow(E.T,vmin=0.0, vmax=20.0)\n",
    "plt.colorbar (label=\"E/J [%]\")\n",
    "\n",
    "plt.xlabel('x [m]')\n",
    "plt.ylabel('y [m]')\n",
    "plt.xticks([0,50,100,150,200,250,300,350,400],[\"-100\",\"-75\",\"-50\",\"-25\",\"0\",\"25\",\"50\",\"75\",\"100\"])\n",
    "plt.yticks([0,50,100,150,200,250,300,350,400],[\"-100\",\"-75\",\"-50\",\"-25\",\"0\",\"25\",\"50\",\"75\",\"100\"])\n",
    "\n",
    "theta2 = np.linspace(0, 2*np.pi, 100)\n",
    "a = 2*r * np.cos(theta2) + 200\n",
    "b = 2*r * np.sin(theta2) + 200\n",
    "plt.plot(a,b, color='black', linestyle=\"dashed\") #円の描写しない場合はここをコメントアウト\n",
    "\n",
    "theta3 = np.linspace(0, 2*np.pi, 100)\n",
    "c = 4*r * np.cos(theta2) + 200\n",
    "d = 4*r * np.sin(theta2) + 200\n",
    "plt.plot(c,d, color='black', linestyle=\"dashed\") #円の描写しない場合はここをコメントアウト\n",
    "\n",
    "x = np.linspace(0, 401, 401)\n",
    "\n",
    "# create new axes on the right and on the top of the current axes.\n",
    "divider = make_axes_locatable(ax)\n",
    "axtop = divider.append_axes(\"top\", size=1.0, pad=0.3, sharex=ax)\n",
    "plt.title(\"\\\"FL to ceiling of the cavern \\\" θ = {}, R = {}\".format(theta,R_i))\n",
    "# plt.title(\"max = {}\".format(np.max(E)))\n",
    "plt.ylabel('E/J [%]')\n",
    "axright = divider.append_axes(\"right\", size=1.2, pad=0.5, sharey=ax)\n",
    "\n",
    "\n",
    "axtop.plot(x, E[:,200]) #marker=\"o\", ms=1, mfc=\"k\", mec=\"k\")\n",
    "axtop.axis([0,400, 0, 20])\n",
    "plt.xlabel('E/J [%]')\n",
    "\n",
    "axright.plot(E[200], x) #marker=\"o\", ms=1, mfc=\"k\", mec=\"k\")\n",
    "axright.axis([0, 20, 0, 400])\n",
    "\n",
    "\n",
    "# plt.tight_layout()\n",
    "\n",
    "plt.show()\n",
    "\n",
    "print(np.max(E),np.min(E))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2.7364464410825 0.0\n"
     ]
    }
   ],
   "source": [
    "#入力データのグラフの出力\n",
    "E = E * 0.0\n",
    "R_i = 1.0\n",
    "E = E_WAtoFL * R_i *100\n",
    "\n",
    "fig, ax = plt.subplots()\n",
    "plt.imshow(E.T,vmin=0.0, vmax=7.0)\n",
    "plt.colorbar (label=\"E/J [%]\")\n",
    "\n",
    "plt.xlabel('x [m]')\n",
    "plt.ylabel('y [m]')\n",
    "plt.xticks([0,50,100,150,200,250,300,350,400],[\"-100\",\"-75\",\"-50\",\"-25\",\"0\",\"25\",\"50\",\"75\",\"100\"])\n",
    "plt.yticks([0,50,100,150,200,250,300,350,400],[\"-100\",\"-75\",\"-50\",\"-25\",\"0\",\"25\",\"50\",\"75\",\"100\"])\n",
    "\n",
    "theta2 = np.linspace(0, 2*np.pi, 100)\n",
    "a = 2*r * np.cos(theta2) + 200\n",
    "b = 2*r * np.sin(theta2) + 200\n",
    "plt.plot(a,b, color='black', linestyle=\"dashed\") #円の描写しない場合はここをコメントアウト\n",
    "\n",
    "theta3 = np.linspace(0, 2*np.pi, 100)\n",
    "c = 4*r * np.cos(theta2) + 200\n",
    "d = 4*r * np.sin(theta2) + 200\n",
    "plt.plot(c,d, color='black', linestyle=\"dashed\") #円の描写しない場合はここをコメントアウト\n",
    "\n",
    "x = np.linspace(0, 401, 401)\n",
    "\n",
    "# create new axes on the right and on the top of the current axes.\n",
    "divider = make_axes_locatable(ax)\n",
    "axtop = divider.append_axes(\"top\", size=1.0, pad=0.3, sharex=ax)\n",
    "plt.title(\"\\\"WA to floor \\\" θ = {}, R = {}\".format(theta,R_i))\n",
    "# plt.title(\"max = {}\".format(np.max(E)))\n",
    "plt.ylabel('E/J [%]')\n",
    "axright = divider.append_axes(\"right\", size=1.2, pad=0.5, sharey=ax)\n",
    "\n",
    "\n",
    "axtop.plot(x, E[:,200]) #marker=\"o\", ms=1, mfc=\"k\", mec=\"k\")\n",
    "axtop.axis([0,400, 0, 7])\n",
    "plt.xlabel('E/J [%]')\n",
    "\n",
    "axright.plot(E[200], x) #marker=\"o\", ms=1, mfc=\"k\", mec=\"k\")\n",
    "axright.axis([0, 7, 0, 400])\n",
    "\n",
    "\n",
    "# plt.tight_layout()\n",
    "\n",
    "plt.show()\n",
    "\n",
    "print(np.max(E),np.min(E))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "6.470589625585142 0.7040595791358132\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "R_i = 1.0\n",
    "E = E_WAtoWA * R_i *100 \n",
    "\n",
    "fig, ax = plt.subplots()\n",
    "\n",
    "plt.imshow(np.fliplr(np.flipud(E)),vmin=0.0, vmax=11.0)\n",
    "plt.xticks([0,45,90,135,180,225,270,315,360],[\"270\",\"225\",\"180\",\"135\",\"90\",\"45\",\"0\",\"-45\",\"-90\"])\n",
    "plt.yticks([0,50,100],[\"100\",\"75\",\"50\"])\n",
    "\n",
    "plt.colorbar (label=\"E/J [%]\",shrink=0.7)\n",
    "\n",
    "plt.xlabel('φ [°]')\n",
    "plt.ylabel('z [m]')\n",
    "\n",
    "# # create new axes on the right and on the top of the current axes.\n",
    "divider = make_axes_locatable(ax)\n",
    "axright = divider.append_axes(\"right\", size=0.8, pad=0.15)#, sharey=ax)\n",
    "axright.plot(E.T[90],a_WA)\n",
    "plt.xlim(0, 11)\n",
    "plt.yticks([])\n",
    "# plt.xticks([6,9,12])\n",
    "# plt.yticks([])\n",
    "plt.xlabel('E/J [%]')\n",
    "\n",
    "E=np.fliplr(np.flipud(E))\n",
    "\n",
    "axtop = divider.append_axes(\"top\", size=0.8, pad=0.3)#, sharey=ax)\n",
    "axtop.plot(b_WA,E[50])\n",
    "plt.ylim(0, 11)\n",
    "# plt.yticks([6,9,12])\n",
    "plt.xlim(-90, 270)\n",
    "plt.xticks([-90,-45,0,45,90,135,180,225,270],[\"270\",\"225\",\"180\",\"135\",\"90\",\"45\",\"0\",\"-45\",\"-90\"])\n",
    "plt.ylabel('E/J [%]')\n",
    "\n",
    "plt.title(\"\\\"WA to wall of the hole\\\" θ = {}, R = {}\".format(theta,R_i))\n",
    "print(np.max(E),np.min(E))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1.7494663955862606 0.0\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "R_i = 1.0\n",
    "E = E_WAtoCW * R_i *100 \n",
    "\n",
    "fig, ax = plt.subplots()\n",
    "\n",
    "plt.imshow(np.fliplr(np.flipud(E)),vmin=0.0, vmax=4.0,)\n",
    "plt.xticks([0,45,90,135,180,225,270,315,360],[\"270\",\"225\",\"180\",\"135\",\"90\",\"45\",\"0\",\"-45\",\"-90\"])\n",
    "plt.yticks([0,50,100],[\"100\",\"75\",\"50\"])\n",
    "\n",
    "plt.colorbar (label=\"E/J [%]\",shrink=0.7)\n",
    "\n",
    "plt.xlabel('φ [°]')\n",
    "plt.ylabel('z [m]')\n",
    "\n",
    "# # create new axes on the right and on the top of the current axes.\n",
    "divider = make_axes_locatable(ax)\n",
    "axright = divider.append_axes(\"right\", size=0.8, pad=0.15)#, sharey=ax)\n",
    "axright.plot(E.T[90],a_WA)\n",
    "plt.xlim(0,4)\n",
    "# plt.xticks([0,6,9])\n",
    "plt.yticks([])\n",
    "plt.xlabel('E/J [%]')\n",
    "\n",
    "E=np.fliplr(np.flipud(E))\n",
    "\n",
    "axtop = divider.append_axes(\"top\", size=0.8, pad=0.3)#, sharey=ax)\n",
    "axtop.plot(b_WA,E[50])\n",
    "plt.ylim(0, 4)\n",
    "# plt.yticks([0,6,9])\n",
    "plt.xlim(-90, 270)\n",
    "plt.xticks([-90,-45,0,45,90,135,180,225,270],[\"270\",\"225\",\"180\",\"135\",\"90\",\"45\",\"0\",\"-45\",\"-90\"])\n",
    "plt.ylabel('E/J [%]')\n",
    "\n",
    "plt.title(\"\\\"WA to wall of the cavern\\\" θ = {}, R = {}\".format(theta,R_i))\n",
    "print(np.max(E),np.min(E))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.0 0.0\n"
     ]
    }
   ],
   "source": [
    "#入力データのグラフの出力\n",
    "E = E *0.0\n",
    "R_i = 1.0\n",
    "E = E_CWtoFL * R_i\n",
    "\n",
    "fig, ax = plt.subplots()\n",
    "plt.imshow(E.T,vmin=0.0, vmax=20.0)\n",
    "plt.colorbar (label=\"E/J [%]\")\n",
    "\n",
    "plt.xlabel('x [m]')\n",
    "plt.ylabel('y [m]')\n",
    "plt.xticks([0,50,100,150,200,250,300,350,400],[\"-100\",\"-75\",\"-50\",\"-25\",\"0\",\"25\",\"50\",\"75\",\"100\"])\n",
    "plt.yticks([0,50,100,150,200,250,300,350,400],[\"-100\",\"-75\",\"-50\",\"-25\",\"0\",\"25\",\"50\",\"75\",\"100\"])\n",
    "\n",
    "theta2 = np.linspace(0, 2*np.pi, 100)\n",
    "a = 2*r * np.cos(theta2) + 200\n",
    "b = 2*r * np.sin(theta2) + 200\n",
    "plt.plot(a,b, color='black', linestyle=\"dashed\") #円の描写しない場合はここをコメントアウト\n",
    "\n",
    "theta3 = np.linspace(0, 2*np.pi, 100)\n",
    "c = 4*r * np.cos(theta2) + 200\n",
    "d = 4*r * np.sin(theta2) + 200\n",
    "plt.plot(c,d, color='black', linestyle=\"dashed\") #円の描写しない場合はここをコメントアウト\n",
    "\n",
    "x = np.linspace(0, 401, 401)\n",
    "\n",
    "# create new axes on the right and on the top of the current axes.\n",
    "divider = make_axes_locatable(ax)\n",
    "axtop = divider.append_axes(\"top\", size=1.0, pad=0.3, sharex=ax)\n",
    "plt.title(\"\\\"CW to floor \\\" θ = {}, R = {}\".format(theta,R_i))\n",
    "# plt.title(\"max = {}\".format(np.max(E)))\n",
    "plt.ylabel('E/J [%]')\n",
    "axright = divider.append_axes(\"right\", size=1.2, pad=0.5, sharey=ax)\n",
    "\n",
    "\n",
    "axtop.plot(x, E[:,200]) #marker=\"o\", ms=1, mfc=\"k\", mec=\"k\")\n",
    "axtop.axis([0,400, 0, 20])\n",
    "plt.xlabel('E/J [%]')\n",
    "\n",
    "axright.plot(E[200], x) #marker=\"o\", ms=1, mfc=\"k\", mec=\"k\")\n",
    "axright.axis([0, 20, 0, 400])\n",
    "\n",
    "\n",
    "# plt.tight_layout()\n",
    "\n",
    "plt.show()\n",
    "\n",
    "print(np.max(E),np.min(E))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.0 0.0\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "R_i = 1.0\n",
    "E = E_CWtoWA * R_i *100\n",
    "\n",
    "fig, ax = plt.subplots()\n",
    "\n",
    "plt.imshow(np.fliplr(np.flipud(E)),vmin=0.0, vmax=0.0008)\n",
    "plt.xticks([0,45,90,135,180,225,270,315,360],[\"270\",\"225\",\"180\",\"135\",\"90\",\"45\",\"0\",\"-45\",\"-90\"])\n",
    "plt.yticks([0,50,100],[\"100\",\"75\",\"50\"])\n",
    "\n",
    "plt.colorbar (label=\"E/J [%]\",shrink=0.7)\n",
    "\n",
    "plt.xlabel('φ [°]')\n",
    "plt.ylabel('z [m]')\n",
    "\n",
    "# # create new axes on the right and on the top of the current axes.\n",
    "divider = make_axes_locatable(ax)\n",
    "axright = divider.append_axes(\"right\", size=0.8, pad=0.15)#, sharey=ax)\n",
    "axright.plot(E.T[90],a_WA)\n",
    "plt.xlim(0, 0.0008)\n",
    "plt.yticks([])\n",
    "# plt.xticks([6,9,12])\n",
    "# plt.yticks([])\n",
    "plt.xlabel('E/J [%]')\n",
    "\n",
    "E=np.fliplr(np.flipud(E))\n",
    "\n",
    "axtop = divider.append_axes(\"top\", size=0.8, pad=0.3)#, sharey=ax)\n",
    "axtop.plot(b_WA,E[50])\n",
    "plt.ylim(0, 0.0008)\n",
    "# plt.yticks([6,9,12])\n",
    "plt.xlim(-90, 270)\n",
    "plt.xticks([-90,-45,0,45,90,135,180,225,270],[\"270\",\"225\",\"180\",\"135\",\"90\",\"45\",\"0\",\"-45\",\"-90\"])\n",
    "plt.ylabel('E/J [%]')\n",
    "\n",
    "plt.title(\"\\\"CW to wall of the hole\\\" θ = {}, R = {}\".format(theta,R_i))\n",
    "print(np.max(E),np.min(E))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.0 0.0\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "R_i = 1.0\n",
    "E = E_CWtoCW * R_i *100 \n",
    "\n",
    "fig, ax = plt.subplots()\n",
    "\n",
    "plt.imshow(np.fliplr(np.flipud(E)),vmin=0.0, vmax=0.0005,)\n",
    "plt.xticks([0,45,90,135,180,225,270,315,360],[\"270\",\"225\",\"180\",\"135\",\"90\",\"45\",\"0\",\"-45\",\"-90\"])\n",
    "plt.yticks([0,50,100],[\"100\",\"75\",\"50\"])\n",
    "\n",
    "plt.colorbar (label=\"E/J [%]\",shrink=0.7)\n",
    "\n",
    "plt.xlabel('φ [°]')\n",
    "plt.ylabel('z [m]')\n",
    "\n",
    "# # create new axes on the right and on the top of the current axes.\n",
    "divider = make_axes_locatable(ax)\n",
    "axright = divider.append_axes(\"right\", size=0.8, pad=0.15)#, sharey=ax)\n",
    "axright.plot(E.T[90],a_WA)\n",
    "plt.xlim(0,0.005)\n",
    "# plt.xticks([0,6,9])\n",
    "plt.yticks([])\n",
    "plt.xlabel('E/J [%]')\n",
    "\n",
    "E=np.fliplr(np.flipud(E))\n",
    "\n",
    "axtop = divider.append_axes(\"top\", size=0.8, pad=0.3)#, sharey=ax)\n",
    "axtop.plot(b_WA,E[50])\n",
    "plt.ylim(0, 0.0005)\n",
    "# plt.yticks([0,6,9])\n",
    "plt.xlim(-90, 270)\n",
    "plt.xticks([-90,-45,0,45,90,135,180,225,270],[\"270\",\"225\",\"180\",\"135\",\"90\",\"45\",\"0\",\"-45\",\"-90\"])\n",
    "plt.ylabel('E/J [%]')\n",
    "\n",
    "plt.title(\"\\\"CW to wall of the cavern\\\" θ = {}, R = {}\".format(theta,R_i))\n",
    "print(np.max(E),np.min(E))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.0 0.0\n"
     ]
    }
   ],
   "source": [
    "#入力データのグラフの出力\n",
    "R_i = 1.0\n",
    "E = E_CWtoCC * R_i * 100 \n",
    "\n",
    "fig, ax = plt.subplots()\n",
    "plt.imshow(E.T,vmin=0.0, vmax=20.0)\n",
    "plt.colorbar (label=\"E/J [%]\")\n",
    "\n",
    "plt.xlabel('x [m]')\n",
    "plt.ylabel('y [m]')\n",
    "plt.xticks([0,50,100,150,200,250,300,350,400],[\"-100\",\"-75\",\"-50\",\"-25\",\"0\",\"25\",\"50\",\"75\",\"100\"])\n",
    "plt.yticks([0,50,100,150,200,250,300,350,400],[\"-100\",\"-75\",\"-50\",\"-25\",\"0\",\"25\",\"50\",\"75\",\"100\"])\n",
    "\n",
    "theta2 = np.linspace(0, 2*np.pi, 100)\n",
    "a = 2*r * np.cos(theta2) + 200\n",
    "b = 2*r * np.sin(theta2) + 200\n",
    "plt.plot(a,b, color='black', linestyle=\"dashed\") #円の描写しない場合はここをコメントアウト\n",
    "\n",
    "theta3 = np.linspace(0, 2*np.pi, 100)\n",
    "c = 4*r * np.cos(theta2) + 200\n",
    "d = 4*r * np.sin(theta2) + 200\n",
    "plt.plot(c,d, color='black', linestyle=\"dashed\") #円の描写しない場合はここをコメントアウト\n",
    "\n",
    "x = np.linspace(0, 401, 401)\n",
    "\n",
    "# create new axes on the right and on the top of the current axes.\n",
    "divider = make_axes_locatable(ax)\n",
    "axtop = divider.append_axes(\"top\", size=1.0, pad=0.3, sharex=ax)\n",
    "plt.title(\"\\\"FL to ceiling of the cavern \\\" θ = {}, R = {}\".format(theta,R_i))\n",
    "# plt.title(\"max = {}\".format(np.max(E)))\n",
    "plt.ylabel('E/J [%]')\n",
    "axright = divider.append_axes(\"right\", size=1.2, pad=0.5, sharey=ax)\n",
    "\n",
    "\n",
    "axtop.plot(x, E[:,200]) #marker=\"o\", ms=1, mfc=\"k\", mec=\"k\")\n",
    "axtop.axis([0,400, 0, 20])\n",
    "plt.xlabel('E/J [%]')\n",
    "\n",
    "axright.plot(E[200], x) #marker=\"o\", ms=1, mfc=\"k\", mec=\"k\")\n",
    "axright.axis([0, 20, 0, 400])\n",
    "\n",
    "\n",
    "# plt.tight_layout()\n",
    "\n",
    "plt.show()\n",
    "\n",
    "print(np.max(E),np.min(E))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [],
   "source": [
    "#出力結果の結合\n",
    "R_f = 1.0\n",
    "\n",
    "E_FL_R =                    (R_f * E_WAtoFL) + (R_f * E_CWtoFL)\n",
    "E_WA_R = (R_f * E_FLtoWA) + (R_f * E_WAtoWA) + (R_f * E_CWtoWA) \n",
    "E_CW_R = (R_f * E_FLtoCW) + (R_f * E_WAtoCW) + (R_f * E_CWtoCW) \n",
    "E_CC_R = (R_f * E_FLtoCC)                    + (R_f * E_CWtoCC)  \n",
    "\n",
    "E_FL_all = (E_StoFL)                    + (R_f * E_WAtoFL) + (R_f * E_CWtoFL)\n",
    "E_WA_all = (E_StoWA) + (R_f * E_FLtoWA) + (R_f * E_WAtoWA) + (R_f * E_CWtoWA) \n",
    "E_CW_all = (E_StoCW) + (R_f * E_FLtoCW) + (R_f * E_WAtoCW) + (R_f * E_CWtoCW) \n",
    "E_CC_all =             (R_f * E_FLtoCC)                    + (R_f * E_CWtoCC)  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAjgAAAHFCAYAAAD/kYOsAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjcuMSwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/bCgiHAAAACXBIWXMAAA9hAAAPYQGoP6dpAACOoUlEQVR4nO3deXxTVfo/8M9t2qR7Ste00JaKbFJAaBEKIpuWHVxGYUCEEZEOoiIwIwwq4M8Bt2EYR1mcgeKCwtcRHJVFiuxSREtx2MQqLS3QhZY26Zr1/P44TdrQLc3Sm+V5v1731eTm5t5zk/TmyTnPOUdgjDEQQgghhLgRL7ELQAghhBBibxTgEEIIIcTtUIBDCCGEELdDAQ4hhBBC3A4FOIQQQghxOxTgEEIIIcTtUIBDCCGEELdDAQ4hhBBC3A4FOIQQQghxOxTguLlt27ZBEAQAwJEjRyAIAvLy8kyPf/LJJ1i/fn2T5+Xl5UEQBLz99tsOL2NeXh4mTpyI0NBQCIKARYsWmY6/bds2hx+/OY1fK2NZjhw50ubzlEol/vjHPyIiIgIBAQEYM2YMsrOzHV/g25w4cQJPPfUUkpKSIJPJmrzvjQmC0Ozy+uuvW3QsrVaL1atXo2vXrpDJZOjVqxf++c9/2vFsCCGk/bzFLgAR1yeffILz589j0aJFopXhhRdewPfff4+tW7dCoVAgOjoarjiDiMFgwKRJk1BUVIR3330XoaGh+Oc//4mRI0fi9OnT6NmzZ4eV5dtvv8XBgwcxYMAABAcHtxmc/e53v8OSJUvM1sXFxVl0rAULFuCjjz7C//t//w+DBg3CN998g+effx6VlZX4y1/+Yu0pEEKITSjAIaI7f/487rnnHjz44IOmdS3VNjiaVqs11Xi11/bt23HixAmcP38effr0AQCMGjUKAwYMwIsvvogvvvjCjiVt3csvv4yVK1cCAN5+++02A5yoqCgMGTKk3ce5cOECtmzZgr/+9a/405/+BAAYOXIkysrK8NprryEtLQ2hoaHt3i8hhNiKmqg82MiRI7Fnzx5cvXrVrGniduvWrUNCQgICAwORkpKCU6dONdnmxx9/xJQpUxAaGgpfX18MGDAA//d//9fq8Y3NQL/++iv27dtnOn5rwc2JEycwZswYBAUFwd/fH0OHDsWePXuabHf+/HlMnToVnTp1gq+vL+6++2588MEHzR7/o48+wpIlS9C5c2fIZDL8+uuvrZa7JTt37kRSUpIpuAEAb29vTJ8+HXv37kVlZaVV+7WGl1fH/Gt/8cUXYIzhD3/4g9n6P/zhD6itrcX+/fs7pByEEHI7CnDc3Jw5c0zNPSNHjgRjDF27dgUAbNiwAcOGDYNCoUBmZqZpaey9995DRkYG1q9fj+3bt6O6uhoTJkyAUqk0bXP48GEMGzYMFRUV2LRpE/773//i7rvvxrRp01rNoRk4cCAyMzOhUCgwbNgw0/Gjo6Ob3f7o0aMYPXo0lEoltmzZgk8//RRBQUGYPHkydu7cadru8uXLGDp0KC5cuIB33nkHu3btwl133YU5c+bgzTffbLLf5cuXIz8/H5s2bcJXX32FyMhIs9eqa9euYIxh5MiRrb7W2dnZ6NOnD3Q6ndnSr18/aLVaXLhwodXn6/X6Js9tbjEYDK3uxxqffPIJ/Pz8IJPJkJSUhPT0dIued/78eUREREChUJit79evn+lxQggRBSMebeLEiSw+Pr7J+tzcXAaA9e3bl+l0OtP606dPMwDs008/Na3r1asXGzBgANNqtWb7mDRpEouOjmZ6vb7VMsTHx7OJEyc2e/z09HTTuiFDhrDIyEhWWVlpWqfT6VhiYiLr0qULMxgMjDHGpk+fzmQyGcvPzzfb5/jx45m/vz+rqKhgjDF2+PBhBoDdd999rZbPUj4+PgxAi8uXX37Z6vNHjBjR6vONy+zZs9tVrrfeeosBYLm5uc0+PmPGDLZ9+3Z27Ngx9p///IeNHz+eAWAvvfRSm/t+4IEHWM+ePZt9TCqVsqeffrpdZSWEEHuhHBzSqokTJ0IikZjuG3+ZX716FQDw66+/4ueffzb1ttLpdKZtJ0yYgK+//hqXL19G7969bSpHdXU1vv/+e/zxj39EYGCgab1EIsGsWbPw4osv4vLly+jVqxcOHTqEMWPGIDY21mwfc+bMwb59+5CZmYlx48aZ1j/yyCM2la2xRx55BMuWLTNbd/r0aTzzzDNt5vZs3rzZomas8PBwm8p4u+3bt5vdf+SRRzB58mS8/vrreO655xAREdHq81s7L2vzmQghxFYU4JBWhYWFmd2XyWQAgNraWgBAcXExAGDp0qVYunRps/soLS21uRzl5eVgjDXbfBUTEwMAKCsrM/21ZDujlprE2isiIgJ+fn5ITk42W28MBtsKTO68806Leo91RH7N448/jq+//ho//vgjxo8f3+J2YWFhOHv2bJP11dXV0Gg0lGBMCBENBTjEJsYv7eXLl+Phhx9udht7dI/u1KkTvLy8UFhY2OSxGzdumJUlLCzMou2M7FXLMHDgQFy+fLnJ+gsXLsDHxweJiYmtPn/MmDE4evRom8eZPXu2w8cHMgZabQVTffv2xY4dO1BUVGSWh3Pu3DkAaPOcCSHEUSjA8XAymcxUG2ONnj17onv37vjpp5+wZs0aO5bMXEBAAAYPHoxdu3bh7bffhp+fHwA+9szHH3+MLl26oEePHgB4oLB7927cuHHDVGsDAB9++CH8/f2t6g5tiWnTpmH27Nk4f/686YtdrVbj448/xsSJE82a1pojVhNVcz766CP4+PggKSmp1e2mTp2Kl156CR988AFefPFF0/pt27bBz8/PrCmQEEI6EgU4Hq5v377YtWsXNm7ciKSkJHh5eTVpYmnL5s2bMX78eIwdOxZz5sxB586dcevWLVy6dAlnzpzBZ599Zpeyrl27Fg888ABGjRqFpUuXQiqVYsOGDTh//jw+/fRTU03MypUr8fXXX2PUqFF45ZVXEBoaiu3bt2PPnj148803IZfL7VKe282YMQObN2/GpEmTsHbtWoSHh2PdunUoLi7GV1991ebz7TkQ4M2bN021QcbalH379iEiIgIREREYMWIEAOCtt97CxYsXMWbMGHTp0gUlJSXYsmULDhw4gFWrVpkFUx9++CGefPJJbN26FU888QQAoE+fPpg7dy5WrlwJiUSCQYMG4cCBA3j//ffx2muvURMVIUQ8Iic5E5HdunWL/e53v2MhISFMEARm/EgYezG99dZbTZ4DgK1cudJs3U8//cQee+wxFhkZyXx8fJhCoWCjR49mmzZtarMMlvaiYoyx48ePs9GjR7OAgADm5+fHhgwZwr766qsm+zx37hybPHkyk8vlTCqVsv79+zfZl7EX1WeffdZmGS1VUVHB5s+fz8LCwpifnx8bNWoUO3PmjN32bynjuTW3jBgxwrTdl19+ye69914WERHBvL29WVBQEBs+fLhZLzmj9PT0Zt8TjUbDVq5cyeLi4phUKmU9evRg77zzjoPPkBBCWicw5oJj4hNCCCGEtIIG+iOEEEKI26EAhxBCCCFuhwIcQgghhLgdpw9wjh07hsmTJyMmJgaCIFg0I/PRo0eRlJQEX19f3HHHHdi0aZPjC0oIIYS4CXf47nX6AKe6uhr9+/fHu+++a9H2ubm5mDBhAoYPH47s7Gz85S9/wXPPPYfPP//cwSUlhBBC3IM7fPe6VC8qQRCwe/duPPjggy1u8+KLL+LLL7/EpUuXTOvS0tLw008/NZkpmxBCCCGtc9XvXrcb6C8zMxOpqalm68aOHYstW7ZAq9XCx8en2eep1Wqo1WrTfYPBgFu3biEsLIwmDCTEgzHGUFlZiZiYmA6ZB4yQxurq6qDRaGzeD2OsyXeZTCYzzS9oK2u/ex3J7QKcoqIiREVFma2LioqCTqdDaWlpixMrrl27FqtXr+6IIhJCXFBBQQG6dOkidjGIB6mrq0NCfDCKSrQ27yswMBBVVVVm61auXIlVq1bZvG/A+u9eR3K7AAdoOnmisRWutZqY5cuXY/Hixab7SqUScXFxKCgoQHBwsGMKSghxeiqVCrGxsQgKChK7KMTDaDQaFJVokX9mAIKDJFbvR1WpR9zA7CbfZ/aqvTGy5rvXkdwuwFEoFCgqKjJbV1JSAm9vb4SFhbX4vJaq6oKDgynAIYRQUzURTXCAF4IDbGgeNfBAw5HfZ9Z+9zqS2zUop6SkICMjw2zdgQMHkJycLEobICGEEGITxmxfHMwZv3udPsCpqqrC2bNncfbsWQC8K9rZs2eRn58PgDctGWc2BnjW9tWrV7F48WJcunQJW7duxZYtW7B06VIxik8IIYTYRoQAxx2+e52+ierHH3/EqFGjTPeNeTKzZ8/Gtm3bUFhYaHrBASAhIQF79+7FCy+8gPfeew8xMTF455138Mgjj3R42QkhhBBX5A7fvQ4bB6egoAB5eXmoqalBREQE+vTpY/eEJkdSqVSQy+VQKpWUg0OIB6NrARGL8bNXftH2JONOd2V73GfYrjU4V69exaZNm/Dpp5+ioKAAjWMnqVSK4cOH4+mnn8YjjzxC40kQQgghFmDMC4xZ/53pQuP52pXdooznn38effv2RU5ODl599VVcuHABSqWSd3MrKsLevXtx77334uWXX0a/fv3www8/2OvQhBBCCCFm7FaDI5VK8dtvvyEiIqLJY5GRkRg9ejRGjx6NlStXYu/evbh69SoGDRpkr8MTQgghbokxwcYaHIMdS+M67BbgvPXWWxZvO2HCBHsdlhBCCHFrBuYFgw0Bji3PdWUO60Wl1+tRWloKQRAQFhYGicT6BClCCCGEkPawe1i3e/duDBs2DP7+/oiJiUF0dDT8/f0xbNgwfPHFF/Y+HCGEEOLWjEnGtiyeyK5nvXnzZkyfPh39+vXDzp07ceLECRw/fhw7d+5Ev379MH36dPzrX/+y5yEJIYQQt0YBjnXs2kT11ltvYcOGDZg7d26Txx588EEMGjQIf/3rXzFv3jx7HpYQQgghxIxdA5zr16/j3nvvbfHxoUOH4saNG/Y8JCGEEOLWeC8q6yd7teW5rsyu9VZ9+vTB+++/3+Lj//rXv9CnTx97HpIQQghxa9REZR271uD87W9/w8SJE7F//36kpqYiKioKgiCgqKgIGRkZuHr1Kvbu3WvPQxJCCCFuzcAEGGyohbHlua7MrgHOiBEjcP78eWzcuBGnTp1CUVERAEChUGDSpElIS0tD165d7XlIQgghhJAm7D4OTteuXfHGG2/Ye7eEEEKIR2KwcS4q+48I4xIcNtAfIYQQQmxHScbWcVhYN3HiRBQWFja5TQghhBDiaA6rwTl27Bhqa2ub3CaEEEKI5agGxzrUREUIIYQ4MVu7entqN3HPPGtCCCGEuDWqwSGEEEKcGGO2NTMxZsfCuBAKcAghhBAnRjk41qEmKkIIIYS4HYfV4AiC0OxtQgghhFiO2ThVg6fW4DgswGGNGv2YpzYAEkIIITaiJirrOCzAqaysbPY2IYQQQizH4GXTdAueOlWDZ541IYQQQtyaQwKcrl274tVXX0V+fr4jdk8IIYR4DGMTlS2LJ3JIgLNkyRL897//xR133IEHHngAO3bsgFqtdsShCCGEELdGAY51HBLgPPvss8jKykJWVhbuuusuPPfcc4iOjsbChQtx5swZRxySEEIIIcTEoTk4/fv3xz/+8Q9cv34dK1euxL///W8MGjQI/fv3x9atW6l3FSGEENIGqsGxjkMDHK1Wi//7v//DlClTsGTJEiQnJ+Pf//43HnvsMaxYsQIzZ860eF8bNmxAQkICfH19kZSUhOPHj7e47ZEjRyAIQpPl559/tsdpEUIIIR2GAhzrOKSb+JkzZ5Ceno5PP/0UEokEs2bNwt///nf06tXLtE1qairuu+8+i/a3c+dOLFq0CBs2bMCwYcOwefNmjB8/HhcvXkRcXFyLz7t8+TKCg4NN9yMiIqw/KUIIIYS4DIcEOIMGDcIDDzyAjRs34sEHH4SPj0+Tbe666y5Mnz7dov2tW7cOc+fOxVNPPQUAWL9+Pb755hts3LgRa9eubfF5kZGRCAkJseocCCGEEGdAA/1ZxyEBzpUrVxAfH9/qNgEBAUhPT29zXxqNBllZWVi2bJnZ+tTUVJw8ebLV5w4YMAB1dXW466678NJLL2HUqFEtbqtWq816eqlUqjbLRgghhDiawcapGmx5ritzSA5OW8ENYPn0DaWlpdDr9YiKijJbHxUVhaKiomafEx0djffffx+ff/45du3ahZ49e2LMmDE4duxYi8dZu3Yt5HK5aYmNjbWofIQQQghxPnYLcHr37o1PPvkEGo2m1e1ycnLwxz/+EW+88Ua79n/7hJ2MsRYn8ezZsyfmzZuHgQMHIiUlBRs2bMDEiRPx9ttvt7j/5cuXQ6lUmpaCgoJ2lY8QQghxBEoyto7dmqjee+89vPjii3jmmWeQmpqK5ORkxMTEwNfXF+Xl5bh48SJOnDiBixcvYuHChViwYIFF+w0PD4dEImlSW1NSUtKkVqc1Q4YMwccff9zi4zKZDDKZzOL9EUIIIR2BcnCsY7cAZ/To0fjhhx9w8uRJ7Ny5E5988gny8vJQW1uL8PBwDBgwAE888QQef/zxdiX+SqVSJCUlISMjAw899JBpfUZGBqZOnWrxfrKzsxEdHd2eUyKEEEJERwGOdeyeZDx06FAMHTrUrvtcvHgxZs2aheTkZKSkpOD9999Hfn4+0tLSAPDmpevXr+PDDz8EwHtZde3aFX369IFGo8HHH3+Mzz//HJ9//rldy0UIIYQQ5+SQXlT2Nm3aNJSVleHVV19FYWEhEhMTsXfvXlMyc2FhodnEnhqNBkuXLsX169fh5+eHPn36YM+ePZgwYYJYp0AIIYRYhWpwrCMwO82XsHjx4nY/56WXXkJoaKg9Dm93KpUKcrkcSqXSbLBAQohnoWsBEYvxs3f220cQFNB0PDlLVVZrcfeYzz3uM2y3Gpz169cjJSUFUqnUou1PnDiBhQsXOm2AQwghhBDXZdcmqt27dyMyMtKibYOCgux5aEIIIcQtMQhgsKGJyobnujK7BTjp6emQy+UWb7958+Z2dfMmhBBCPBHl4FjHbgHO7Nmz27X9jBkz7HVoQgghhBAzLtGLihBCCPFYto5G7KE1OHabqiE0NBSlpaUWbx8XF4erV6/a6/CEEEKIW2LM1ukaxD4DcditBqeiogL79u2zOA+nrKwMer3eXocnhBBCCDGxaxNVe/NwCCGEENI6A+OLLc/3RHYLcAwGg712RQghhJB61IvKOpRkTAghhDgxCnCsY7ckY0IIIYQQZ0E1OIQQQogToxoc61CAQwghhDgx3k3ctud7ImqiIoQQQojbsWsNjkqlavuA3t7w9/e352EJIYQQt0WTbVrHrgFOSEgIBKHtFzIgIAAPPPAA/vGPf6BLly72LAIhhBDiVigHxzp2DXAOHz7c5jYGgwHFxcV477338PTTT2Pv3r32LAIhhBBCiH0DHLVajVGjRsHHx6fNbfv164chQ4bY8/CEEEKI26EaHOvYNck4LS0NERERmDZtGj755BNUVFS0uO2dd96Jjz76yJ6HJ4QQQtyOsReVLYsnsmuAc+XKFRw7dgx9+/bF+vXroVAoMGbMGLzzzjvIy8sz21YqlWLq1Kn2PDwhhBBCCAAHdBPv168fXnrpJZw+fRpXrlzBo48+iv3796N3797o378/XnnlFfz444/2PiwhhBDiloxNVLYsnsih4+DExMQgLS0Ne/fuRWlpKV555RXk5eVh3LhxWLNmjSMPTQghhLgFaqKyToeNZBwQEIBHHnkEjzzyCAwGA8rKyjrq0IQQQojLoiRj69i1BmfChAlQKpWm+3/961/NEo3Lyspw1113wcvLCxEREfY8NCGEEELsaMOGDUhISICvry+SkpJw/PjxVrffvn07+vfvD39/f0RHR+MPf/iDqJUZdg1wvvnmG6jVatP9N954A7du3TLd1+l0uHz5sj0PSQghhLg1MXJwdu7ciUWLFmHFihXIzs7G8OHDMX78eOTn5ze7/YkTJ/DEE09g7ty5uHDhAj777DP88MMPeOqpp2w9favZNcBhtzX03X6fEEIIIe1jsMPSXuvWrcPcuXPx1FNPoXfv3li/fj1iY2OxcePGZrc/deoUunbtiueeew4JCQm49957MX/+fFE7FdFkm4QQQogHUKlUZkvjFpfGNBoNsrKykJqaarY+NTUVJ0+ebPY5Q4cOxbVr17B3714wxlBcXIz//Oc/mDhxot3Pw1J2DXAEQWgyF5Ulc1MRQgghpAW2Nk/VN1HFxsZCLpeblrVr1zZ7uNLSUuj1ekRFRZmtj4qKQlFRUbPPGTp0KLZv345p06ZBKpVCoVAgJCQE//znP+37WrSDXXtRMcYwZ84cyGQyAEBdXR3S0tIQEBAAAC1Gi4QQQghpnr16URUUFCA4ONi03vhd3ZLbKygYYy1WWly8eBHPPfccXnnlFYwdOxaFhYX405/+hLS0NGzZssXqstvCrjU4s2fPRmRkpCk6fPzxxxETE2O6HxkZiSeeeMKqfbc3m/vo0aNISkqCr68v7rjjDmzatMmq4xJCCCHuIDg42GxpKcAJDw+HRCJpUltTUlLSpFbHaO3atRg2bBj+9Kc/oV+/fhg7diw2bNiArVu3orCw0O7nYgm71uCkp6fbc3cmxmzuDRs2YNiwYdi8eTPGjx+PixcvIi4ursn2ubm5mDBhAubNm4ePP/4Y3333HRYsWICIiAg88sgjDikjIYQQ4ggMtg3W196nSqVSJCUlISMjAw899JBpfUZGRotTLNXU1MDb2zykkEgk/PgidTjqsIH+bNE4mxsA1q9fj2+++QYbN25stg1x06ZNiIuLw/r16wEAvXv3xo8//oi333673QFOjUYHb43O5nMghLimGvr/JyITY6C/xYsXY9asWUhOTkZKSgref/995OfnIy0tDQCwfPlyXL9+HR9++CEAYPLkyZg3bx42btxoaqJatGgR7rnnHsTExFhddls4fYBjzOZetmyZ2frWsrkzMzObZH+PHTsWW7ZsgVarhY+PT5PnqNVqsxwh44CFya98BS+Zv62nQQhxUQZ1DQAa9oJ4lmnTpqGsrAyvvvoqCgsLkZiYiL179yI+Ph4AUFhYaDYmzpw5c1BZWYl3330XS5YsQUhICEaPHo033nhDrFNw/gDHmmzuoqKiZrfX6XQoLS1FdHR0k+esXbsWq1evbrL++sY51heeEOI2ysrKIJfLxS4G8UC2zidl7XMXLFiABQsWNPvYtm3bmqx79tln8eyzz1p3MAdw+gDHqD3Z3C1t39x6o+XLl2Px4sWm+xUVFYiPj0d+fr4oFzWVSoXY2NgmWe+eVAaxj+8MZfD04ztDGZRKJeLi4hAaGtrhxyYEoLmorOX0AY412dwKhaLZ7b29vREWFtbsc2QyWbMZ5XK5XLQLO9CQ9S4mscsg9vGdoQyefnxnKIOXF42LSsTB0P5E4duf74mc/j+2cTZ3YxkZGRg6dGizz0lJSWmy/YEDB5CcnNxs/g0hhBBC3IvTBzgAz+b+97//ja1bt+LSpUt44YUXmmRzNx5fJy0tDVevXsXixYtx6dIlbN26FVu2bMHSpUvFOgVCCCHEKmJMtukOnL6JCmh/NndCQgL27t2LF154Ae+99x5iYmLwzjvvtKuLuEwmw8qVK9sc6dFRxD6+M5RB7OM7Qxk8/fjOUAaxj0+IWEnGrk5g1PeREEIIcToqlQpyuRx7Pn0KAf5Sq/dTXaPBxN//G0qlUvRcuo7kEjU4hBBCiKeiXlTWoQCHEEIIcWLURGUdl0gyJoQQQghpD6rBIYQQQpwYNVFZxyNrcHbt2oWxY8ciPDwcgiDg7NmzTbZRq9V49tlnER4ejoCAAEyZMgXXrl0z26a8vByzZs2CXC6HXC7HrFmzUFFRYVWZBEFodnnrrbdM24wcObLJ49OnT7fqeLebM2dOk30PGTLEbBtLXhNraLVavPjii+jbty8CAgIQExODJ554Ajdu3DDbzpHn35wNGzYgISEBvr6+SEpKwvHjxx1ynLVr12LQoEEICgpCZGQkHnzwQVy+fNlsG0veH1usWrWqyf4VCoXpccYYVq1ahZiYGPj5+WHkyJG4cOGC3Y7ftWvXZj//zzzzDADHnP+xY8cwefJkxMTEQBAEfPHFF2aPW3LOjvqfIKQxZofFE3lkgFNdXY1hw4bh9ddfb3GbRYsWYffu3dixYwdOnDiBqqoqTJo0CXq93rTNjBkzcPbsWezfvx/79+/H2bNnMWvWLKvKVFhYaLZs3boVgiA06do+b948s+02b95s1fGaM27cOLN979271+xxS14Ta9TU1ODMmTN4+eWXcebMGezatQu//PILpkyZ0mRbR55/Yzt37sSiRYuwYsUKZGdnY/jw4Rg/frzZcAT2cvToUTzzzDM4deoUMjIyoNPpkJqaiurqarPt2np/bNWnTx+z/Z87d8702Jtvvol169bh3XffxQ8//ACFQoEHHngAlZWVdjn2Dz/8YHZs40Cdjz76qGkbe59/dXU1+vfvj3fffbfZxy05Z0f9TxBC7IB5sNzcXAaAZWdnm62vqKhgPj4+bMeOHaZ1169fZ15eXmz//v2MMcYuXrzIALBTp06ZtsnMzGQA2M8//2xz2aZOncpGjx5ttm7EiBHs+eeft3nfzZk9ezabOnVqi49b8prY0+nTpxkAdvXqVdM6R57/7e655x6WlpZmtq5Xr15s2bJlDj92SUkJA8COHj1qWtfW+2OrlStXsv79+zf7mMFgYAqFgr3++uumdXV1dUwul7NNmzY5pDzPP/8869atGzMYDIwxx58/ALZ7927TfUvOuaP/J4jnUSqVDAD74qP5LOPzZ61evvhoPgPAlEql2KfUoTyyBqctWVlZ0Gq1SE1NNa2LiYlBYmIiTp48CQDIzMyEXC7H4MGDTdsMGTIEcrnctI21iouLsWfPHsydO7fJY9u3b0d4eDj69OmDpUuX2u0XNAAcOXIEkZGR6NGjB+bNm4eSkhLTY5a8JvakVCohCAJCQkLM1jvy/I00Gg2ysrLMzhUAUlNTHXKut1MqlQDQZHLH1t4fe8jJyUFMTAwSEhIwffp0XLlyBQCQm5uLoqIis9dDJpNhxIgRDnk9NBoNPv74Yzz55JNmk+M6+vwbs+ScO/p/gnguYy8qWxZPREnGzSgqKoJUKkWnTp3M1kdFRZkm8SwqKkJkZGST50ZGRjaZ6LO9PvjgAwQFBeHhhx82Wz9z5kwkJCRAoVDg/PnzWL58OX766acm825ZY/z48Xj00UcRHx+P3NxcvPzyyxg9ejSysrIgk8ksek3spa6uDsuWLcOMGTPMBqVy5Pk3VlpaCr1e32QyV0ec6+0YY1i8eDHuvfdeJCYmmta39f7YavDgwfjwww/Ro0cPFBcX47XXXsPQoUNx4cIF0zk393pcvXrV5mPf7osvvkBFRQXmzJljWufo87+dJefckf8TxLNRN3HruH2As337dsyfP990f9++fRg+fLhV+2KMmf2ibHy7pW2sKdPWrVsxc+ZM+Pr6mj1v3rx5ptuJiYno3r07kpOTcebMGQwcONDi82ju+NOmTTPbd3JyMuLj47Fnz54mgVZjlpyvJcc3nr9Wq8X06dNhMBiwYcMGs+fZ6/wtdft5WXOu7bVw4UL873//w4kTJ8zWW/v+WGr8+PGm23379kVKSgq6deuGDz74wJTM21Gvx5YtWzB+/HjExMSY1jn6/FtizTl3xOeEENI2tw9wpkyZYtaM1Llz5zafo1AooNFoUF5ebvbrrKSkxDSDuUKhQHFxcZPn3rx5s8mvvvaU6fjx47h8+TJ27tzZZjkHDhwIHx8f5OTktOsL3pLXJDo6GvHx8cjJyQFg2Wti6/G1Wi0ee+wx5Obm4tChQ20OKW7t+bclPDwcEomkya/wkpKSNt9bWzz77LP48ssvcezYMXTp0qXVbW9/f+wtICAAffv2RU5ODh588EEAvMYiOjratI0jXo+rV6/i4MGD2LVrV6vbOfr8jT3IWjtne/5PENIaXoNjSzdxOxbGhbh9Dk5QUBDuvPNO0+Ln59fmc5KSkuDj42PW9FFYWIjz58+bLlwpKSlQKpU4ffq0aZvvv/8eSqWyzYtba2XasmULkpKS0L9//zbLeeHCBWi1WrMLsCUseU3KyspQUFBg2rclr4ktxzcGNzk5OTh48CDCwsLa3I+1598WqVSKpKSkJk1fGRkZDvniYoxh4cKF2LVrFw4dOoSEhIQ2n3P7+2NvarUaly5dQnR0tKlZsPHrodFocPToUbu/Hunp6YiMjMTEiRNb3c7R52/JOdvzf4KQ1lAOjnXcvganObdu3UJ+fr5pnBXjmCMKhQIKhQJyuRxz587FkiVLEBYWhtDQUCxduhR9+/bF/fffDwDo3bs3xo0bh3nz5pm6Kj/99NOYNGkSevbsaVW5VCoVPvvsM/ztb39r8thvv/2G7du3Y8KECQgPD8fFixexZMkSDBgwAMOGDbPqeEZVVVVYtWoVHnnkEURHRyMvLw9/+ctfEB4ejoceeggALHpNrKXT6fC73/0OZ86cwddffw29Xm+qPQkNDYVUKnXo+Tdn8eLFmDVrFpKTk5GSkoL3338f+fn5SEtLs/uxnnnmGXzyySf473//i6CgINO5y+Vy+Pn5WfT+2Grp0qWYPHky4uLiUFJSgtdeew0qlQqzZ8+GIAhYtGgR1qxZg+7du6N79+5Ys2YN/P39MWPGDLscHwAMBgPS09Mxe/ZseHs3XJocdf5VVVX49ddfTfdzc3Nx9uxZhIaGIi4urs1zduT/BCHEDkTrvyWi9PT0ZsdCWrlypWmb2tpatnDhQhYaGsr8/PzYpEmTWH5+vtl+ysrK2MyZM1lQUBALCgpiM2fOZOXl5VaXa/PmzczPz49VVFQ0eSw/P5/dd999LDQ0lEmlUtatWzf23HPPsbKyMquPZ1RTU8NSU1NZREQE8/HxYXFxcWz27NlNzteS18Qaxu76zS2HDx9mjDn2/Fvy3nvvsfj4eCaVStnAgQPNum3bU0vnnp6ezhiz/P2xxbRp01h0dDTz8fFhMTEx7OGHH2YXLlwwPW4wGNjKlSuZQqFgMpmM3XfffezcuXN2Oz5jjH3zzTcMALt8+bLZeked/+HDh5t93WfPns0Ys+ycHfU/QQhjDd3E/5OexvbufN7q5T/paR7ZTVxgzFMrrwghhBDnpVKpIJfL8dnWNPj7W99bsKZGjUef3ASlUtlmbqM7cfscHEIIIYR4Ho/MwSGEEEJcBY2DYx0KcAghhBAnRrOJW4eaqAghhBDidpwuwDl27BgmT56MmJgYCIKAL774wuxxxhhWrVqFmJgY+Pn5YeTIkbhw4YLZNmq1Gs8++yzCw8MREBCAKVOm4Nq1ax14FoQQ0oCua8QWBmb74omcLsCprq5G//798e677zb7+Jtvvol169bh3XffxQ8//ACFQoEHHnjAbNLFRYsWYffu3dixYwdOnDiBqqoqTJo0CXq9vqNOgxBCTOi6RmzBINi8eCKn7iYuCAJ2795tGiqeMYaYmBgsWrQIL774IgD+qyYqKgpvvPEG5s+fD6VSiYiICHz00Uem+Wtu3LiB2NhY7N27F2PHjhXrdAghhK5rxGLGbuLb319gczfxmU9v8Lhu4i6VZJybm4uioiKkpqaa1slkMowYMQInT57E/PnzkZWVBa1Wa7ZNTEwMEhMTcfLkyRYvBGq1Gmq12nTfYDDg1q1bCAsLo4nzCPFgjDFUVlYiJiYGXl72r/R21HWNrmn25ejPAbE/lwpwjEPY3z7BX1RUFK5evWraRiqVmk1+Z9zm9skTG1u7di1Wr15t5xITQtxFQUFBm5OgWsNR1zW6pjmGoz4HrWGwsZu43UriWlwqwDG6/dcHY6zNXyRtbbN8+XIsXrzYdF+pVCIuLg6Iux/wcsmXyf0ZdEDZRUBTCWir0OTf2C8SiKqfZZwx4NoxQCIDvGWAxBfwkvAF3oA0APALb3iuWlX/PAPfr3FGBWbg+5DVV/Ma9EDFb4BBDeg1gF4LGDT8NtMBATFARL+GfV090HAMLxkgk/NFKgdkIYCEPmtOx6AD8g8iKCjIoYex93WtpWvaL1dyERUWanuBPYxKpUJsbKzDPwfNoW7i1nGpq6lCoQDAf800nkW4pKTE9OtHoVBAo9GgvLzc7NdOSUlJqzP8ymQyyGTNtHF6eQNePnY6A2IVXS1QVwbU3uLBRWj9ZKaCN1BTDLD6JEtBAkiDAGkw4BPIg5DG7118OyZA9Gt7NnMAfP/hfZp/zKAFDIaGMujVgKwToK3mQZBBDdSW8AUAAqKBqGR+mzFAo+SBDzUnOAVHNes46rrW0jUtKCjYo/Iw7I2a91yHSzUkJiQkQKFQICMjw7ROo9Hg6NGjpn/ypKQk+Pj4mG1TWFiI8+fPtxrgECeirQFU+UBJNpD/LZB/kN+uvApUXW/YThCAsD48KIgdDXQdD3QeDkT0B0K6AX4R4p0DwAMb70ZfMBIZ0PleoOtYIH4cED0UCL2L1/J4+/MaHCNdDXD9OHD1G6A4i78eutoOPwXieHRdI20xjmRsy+KJnK4Gp6qqCr/++qvpfm5uLs6ePYvQ0FDExcVh0aJFWLNmDbp3747u3btjzZo18Pf3x4wZMwAAcrkcc+fOxZIlSxAWFobQ0FAsXboUffv2xf33t+MXPBEHY0BhJv+CNxF4M45vKOAbxrcx/ooKjhelmDaT+PBaosY1RY2vQrpaXnto0ALVN/gC8Jop/0ggKJbXVBGXQNc1YguaqsE6Thfg/Pjjjxg1apTpvrENefbs2di2bRv+/Oc/o7a2FgsWLEB5eTkGDx6MAwcOmLWL/v3vf4e3tzcee+wx1NbWYsyYMdi2bRskEkmHnw9pATPwZqfqYv6383BA8OKBS0A0UHeLf/n7hvHAxhPyoBpXffuFA/FjAXUFUHMTqL0JqMt5rpGyijd1GQMcg44/V6DPt7Oi6xohHc+px8ERk3H8AXQdRzk49sIYoL4FqAqAmiJeO2GkGAL4RzRsR+3cTek1QG0pD3ZC7+K1QABQ/gugvAIEKICAzjwwFFyq9dm5GbRA3n6XH0PEeE0rvFkGRTglGbeX8fXryM+B8ZjbNi6Ev58N4+DUqjHnj++6/Ge4vTzgZzFxCjU3gbJzPMHWyEsKBEQB/gpeS2NEwU3zJFIgMIYvjdWV8S/hygK+SKQ8rycwFvANEaWohBD7oSYq61CAQxyDGfiXrqT+V4dEyoMbQVL/JR3LgxoKZmynGMKDnKr6XB29BlDl8cU3lCcz0+tMCPEwFOAQ+9LVAapcQHUV8I8CIgfw9TI57+3kF+EZ+TQdSRB4zo5fOBCeyJuwqq4DVYW8d1bj4EZXB3j7ildWQki7UQ2OdeibhtiHphJQ/gZUXgdg4Ovqys3zaQKiW3w6sRPBiweW/lFAmLp+oMJ6aiVw/Rh/LLgrDzapZocQp0cBjnUowCG2qbsFVPzKB9wzknXi49D4K+gLVEyS25ISa0v535pivkiDgZDuPPCk94kQp0UjGVuHAhxim9rShuDGX8EDG1/qoeGUQrrx2htVHlCZD2hUQEkWH/05pAcFOoQQt0IBDmmf2lKeKOxbP1x8cFc+BUFwAiANFLVoxALSQJ6n06kH71quzOXNi2Xn+ACCAl0SCHE29TPh2fR8T0RXM2IZtRK4dYknsMpCgJh7+a99iRQI7yt26Uh7SaRAaC9AfgcPcrxlDcnfjPH5sfwiqUaHECdAOTjWoQCHtE5bDdy6DFQb54ASeI4NM9DIue5AIm2YvNSoupA3XfmGAmGJvAccIYS4GApwSPP0GqD8Mu/ubazgDOwMdOoJ+ASIWjTiYAYt741Vd4v3ugqK47U9tyctE0I6hq0TZlINDiGNVBfxZFSAdycO7U2/5D1FcDzPxym7xGvuKvP5IIKdegDyBJoGgpAORr2orEMBDmnADA1fXkGxfN6owC58ADniWbz9gKiBQF08UHoB0CiBWxd5rY5ikNilI4SQNtFPMQIY9DzPpuAIn5ka4MmlEXdTcOPpfMP4TO8R/XkTlbyr2CUixOMwOyyeiGpwPF3tTaC00SSYVdd5EwUhRoLA83ACOgNejRLLKwsALx8+izkhxGGoF5V1KMDxVAYdUHYRqLzK70t8gbA+NJ0CaVnj4EZbzQNjpufJ52GJvEcWIYQ4CQpwPJFaCZScAbRV/H5wV95LxstH1GIRFyLx5Z8b5W+81q+2FAjvR7U5hDgA1eBYhwIcT1T+Cw9uJDIgYgDgHyF2iYir8ZIAYXfxGr+bZ/nnqfgHnpQe3pdmjCfEjqgXlXXoKuSJIvoBt3x4128a24TYwrcT0Pk+HjQrfwWqrvEaws7DzZu0CCFWoxoc61AvKk9QXQiUnm+4L5HxHlIU3BB78JIAYb2B6KG86SogmoIbQojoqAbHnTHGRyOuyOH3/SKAgChxy0Tcl18Y0OU+wKtRsrGujud2UcBDiNVosk3rUIDjrgxaoCQbqCnm9+V3UK4NcbzGtYIGPVD0Pb8dlUxTfBBiJWqiso7LNVF17doVgiA0WZ555hkAwJw5c5o8NmTIEJFL3cE0VcD1Ezy4Ebx4InFYHxpin3QsbTWvwdGo+JxWxmCbNEHXNULsz+VqcH744Qfo9XrT/fPnz+OBBx7Ao48+alo3btw4pKenm+5LpR40PkdNCZ8J2qDj+RCKQYAsROxSEU8kC+ZNVsVZgLocKPoBCE/k3cuJGbqukdZQDY51XC7AiYgwb2Z5/fXX0a1bN4wYMcK0TiaTQaHw1PE4GA9uZJ14s4C3r9gFIp7M2w+IGQrc/In3sCo9B2hreA8+wTO7rjaHrmukNdRN3Dou3Wah0Wjw8ccf48knn4TQ6GJ55MgRREZGokePHpg3bx5KSkpELGUH848CFIOBmBQKbohzELx4r71OPfl95W/ArZ9FLZIzo+saIfbhcjU4jX3xxReoqKjAnDlzTOvGjx+PRx99FPHx8cjNzcXLL7+M0aNHIysrCzJZy92i1Wo11Gq16b5KpXJk0e2H6fmUC/JugI8/X+cfKW6ZCLmdIACdevAanfLLNN9ZK+x1XXPZaxppgnpRWcelA5wtW7Zg/PjxiImJMa2bNm2a6XZiYiKSk5MRHx+PPXv24OGHH25xX2vXrsXq1asdWl67M+j46LG1pUBtGdBlBFX7E+cWFAsExJh3GzfoaOTjRux1XXPJaxppFoONOTh2K4lrcdkmqqtXr+LgwYN46qmnWt0uOjoa8fHxyMnJaXW75cuXQ6lUmpaCggJ7Ftf+9BqgMJMHN4KkvpcUBTfEBTQObqoLgYLDgKZSvPI4EXte11zumkZaZEwytmWxxoYNG5CQkABfX18kJSXh+PHjrW6vVquxYsUKxMfHQyaToVu3bti6dat1B7cDl/3ZlJ6ejsjISEycOLHV7crKylBQUIDo6NZnyZbJZK02YTkVXS1QeIrP/+Plw3NufDuJXSpC2ocxoOI3QF8HFJ7kIyFLg8QulajseV1zqWsacTo7d+7EokWLsGHDBgwbNgybN2/G+PHjcfHiRcTFxTX7nMceewzFxcXYsmUL7rzzTpSUlECn03VwyRu4ZA2OwWBAeno6Zs+eDW/vhhitqqoKS5cuRWZmJvLy8nDkyBFMnjwZ4eHheOihh0QssR1pq4Eb39VPlukLxAyj4Ia4JkEAFPcA0mBeI3njJKD23DwRj76ukVaJUYOzbt06zJ07F0899RR69+6N9evXIzY2Fhs3bmx2+/379+Po0aPYu3cv7r//fnTt2hX33HMPhg4dauPZW88lA5yDBw8iPz8fTz75pNl6iUSCc+fOYerUqejRowdmz56NHj16IDMzE0FBbvLLsPQcr8HxCeDBjYf/4iUuTiIFolMAqRwwaHhNjlopdqlE4dHXNdIqewU4KpXKbGmchN6YRqNBVlYWUlNTzdanpqbi5MmTzT7nyy+/RHJyMt5880107twZPXr0wNKlS1FbW2vX16I9XLKJKjU1FayZkNTPzw/ffPONCCXqQJEDeJAT1hfwpupn4gaMQU7RKUBdwXPLood43ACVHn1dIx0iNjbW7P7KlSuxatWqJtuVlpZCr9cjKsp87sKoqCgUFRU1u+8rV67gxIkT8PX1xe7du1FaWooFCxbg1q1bouXhuGSA43GYoWGaBYmMD+BHiDuR+PCgpvB7Pupx1XWPC3AIaQmDAAYbBvqrf25BQQGCg4NN69vK0RJu67jCGGuyzshgMEAQBGzfvh1yuRwAb+b63e9+h/feew9+fn5Wl99aFOA4O4OWJxQHxwNBzSd2EeIWvOqDHFUeH9eJEALAflM1BAcHmwU4LQkPD4dEImlSW1NSUtKkVscoOjoanTt3NgU3ANC7d28wxnDt2jV0797d+hOwkkvm4HgMg67+F20FcOsSD3YIcWde3kDInQ1DHjAG6OlzT0hHkkqlSEpKQkZGhtn6jIyMFpOGhw0bhhs3bqCqqsq07pdffoGXlxe6dOni0PK2hAIcZ8X0fBA/dXl9V/Ah/C8hnsKg5xPHFmXyYJ8QT8XssLTT4sWL8e9//xtbt27FpUuX8MILLyA/Px9paWkA+DhLTzzxhGn7GTNmICwsDH/4wx9w8eJFHDt2DH/605/w5JNPitI8BVATlXNiDLj5v4ZB/BSDAZm87ecR4k70aj5Ct0EDFP/Iu5QL9JuMeCAbm6isCXCmTZuGsrIyvPrqqygsLERiYiL27t2L+Hg+zUphYSHy8/NN2wcGBiIjIwPPPvsskpOTERYWhsceewyvvfaaDQW3DQU4zkj5G595GeAJxTTODfFEPv48qCnMBGpv8hnJI+6mEbsJ6SALFizAggULmn1s27ZtTdb16tWrSbOWmOjnkLOpK+f5NgAQlkgTZxLP5tsJiEoCIPCgv5xmISeeR4QWKrdAAY6zkYUAnXoCwV0BeYLYpSFEfP5RQHg/frviV96FnBAPItZcVK6OmqicjSAAnXp47ieSkOYExwG6ah7glJ7jNZuUdE88hL26iXsaCnCcgUEPVPwChHTn3WQByjMg5HadegG6Oj4mFAU3hJA2UIDjDMrOAZUFfLyb6BSxS0OIcxIEPlUJIR6GanCsQzk4Yqu6xoMbgNfgEEIso1HxUY8JcXOUZGwdqsERk7YauHmO3w7pAfiFi1seQlyFtga4foIPiOntxxORCSGkEarBEQvTA8VZANMBvqFAJ6q9IcRiPv5AYP3w7yXZgK5W3PIQ4kDUi8o6FOCI5dbPgEbJkyUjB9IIrYS0V3gfPqyCQQvcPOu5V3Hi9ijAsQ59q4pBrwEq60cqjribV7ETQtpHkAARA/iPg9pSyschhJihAEcMEinQZQQQ3hcIUIhdGkJclzQQCL2L3751EdBUtb49IS6IanCsQwGOWLx9+WjFhBDbBHflCfrMAKiuiF0aQuyOelFZh3pRdaTqIv6Xam0IsR9B4E29VdcBeTexS0MIcRIU4HQUvYbPhmzQ8KTiwM5il4gQ9+HtB4TcKXYpCHEIGujPOhTgdJSyCzy48QmkGhxCHMmgByrz+ZQO1DuRuAHGBDBm/fQ9tjzXlVGA0xFqbvIRiwEgoj/v/UEIsT/GgMKTfNoTMEB+h9glIsRmVINjHZcLcFatWoXVq1ebrYuKikJREc9vYYxh9erVeP/991FeXo7BgwfjvffeQ58+fcQoLmDQAaU/8dvBCXxQP0KIYwgCEBTHA5xbl4GAGJ7Q7+Rc7rpGiB0sXry43c956aWXEBpq2feoywU4ANCnTx8cPHjQdF8iaagRefPNN7Fu3Tps27YNPXr0wGuvvYYHHngAly9fRlBQUMcXtvwyH2VV4guE9ur44xPiaYLieBOVugK4dcllJuh0qesa6VC29oRy1gqc9evXIyUlBVKp1KLtT5w4gYULF7p3gOPt7Q2FomkeC2MM69evx4oVK/Dwww8DAD744ANERUXhk08+wfz58zu2oLoaQJnLb0f0A7xc8uX2XMZ6XcEz269dliAAYX2BG8d503BQHOAXJnap2uQy1zXS4dy5iWr37t2IjIy0aNv2BvMumYGXk5ODmJgYJCQkYPr06bhyhY99kZubi6KiIqSmppq2lclkGDFiBE6ePNnqPtVqNVQqldliM4kfoBjEm6ZoMkDnYdACdbcAVb75f37ZRSD/IJD3DZC7B8j9mi9Xvub3tdUN21ZdA4rP8BoCVT5QWwbo6pz7SuJJfEN4YAMAZef4GDlOzt7XNYdc0wixo/T0dMjlcou337x5M6KiLP8udbkqhcGDB+PDDz9Ejx49UFxcjNdeew1Dhw7FhQsXTO3Vt78AUVFRuHr1aqv7Xbt2bZM2cJsJAg9sKLgRj0HPmyrqyvhfjcp8Ykb/SPMcjWYnbTT+fGpUk1NXAVRfb7qplw+fHym8L+ATYI8zINYK7QVUFwKaSj6NgxMnHDviuuaQaxoRhbvW4MyePbtd28+YMaNd27tcgDN+/HjT7b59+yIlJQXdunXDBx98gCFDhgAAhNuaFBhjTdbdbvny5WYJTyqVCrGxsdYVkjFeSyCxrF2R2NHtzUq3LjY/R5HEF5AGmf+yD+4KBEQDXhJA8OZ/Tfs08OcYBUbzsVd0NbxmR1vNbxu0QO1NHugYVRbwx/0jefBDXZc7hkTGg5yaEqf/keGI65pdr2lEVAwMzIYohTltFo5juVyAc7uAgAD07dsXOTk5ePDBBwEARUVFiI6ONm1TUlLSZrWWTCaDTCazT6GqbwCl/wM69QLkCfbZJ2kZY3xm9qrrfLToqCQeSAC811p1IeAbxm9Lg3lg01zw6ePPF0v4hvHFrBx6QF0JaCvN96+6CqjLgYocwEsKBMbw3j2+oZTf42hB8S45JYo9rmt2vaYR4gChoaH45ZdfEB4ebtH2cXFxOH78OOLj4y3a3uUDHLVajUuXLmH48OFISEiAQqFARkYGBgzgPSc0Gg2OHj2KN954o2MKZNDzvAyDjv+aJ46jV/OgpjKfN0MYVRc1BDgB9cFERwQSgoTnfviGmK8Pjgdq/HjNjkHDa5RUebxGKCgO6NSDAh1Huf11ZcwlXmunu64RUblrL6qKigrs27fP4jycsrIy6PV6i/fvcgHO0qVLMXnyZMTFxaGkpASvvfYaVCoVZs+eDUEQsGjRIqxZswbdu3dH9+7dsWbNGvj7+7e77c5qqtyGbuFO3Obv0vRqnhBcdR2mf13BC/BX8CYm/0YZ+c7wZRYUyxdmAGpLG2qa9HW85skZyujudDVA+S+8Bi3sLrFL04TTX9eIuGydEdxZIxy0Pw+nPVwuwLl27Rp+//vfo7S0FBERERgyZAhOnTplqrL685//jNraWixYsMA0INaBAwc6ZqwIgw6o+JXfDu1F3cIdRfDmeRVggEwOBMbxZh9nz3kSvHjw5R/Ja/pqigHvRk1iulqgOIvPqeQfRYGPPWmqeS6U4MWbjb39xC6RGae+rhHiIAaDY3s3CsyWzCU3plKpeLVZ13HmCaOtqfiNJ7X6BABdRtEXlL3UVQBVBUBYYsNrWnWDf0n5dhK1aHZVep7XAAI8V6hTTwp07MU4hUPdLZ6XE9HP8ucatEDefiiVSgQHBzuujA5mvKYV3iyDIpxGVG8v4+vXkZ8D4zFf/PMLNuVTqdVqvPHm313+M9xe1J3DXgx6QPkbvy2/k76U7EFbBRT/yAdsU+XxZGGjwBj3Cm4AoFN3XnsjSHh39uIf6udVUopdMtcnCDzpH+A5W9oacctDSHswOyweiAIce6kr47khEl8gqIvYpXFtBj2fR6jgaENQE9ilIXHYXUlkQGhvIO7++kDHi9c4XD8GlJ5z3sEsXIVfGOAXAYDxfBxCXATFN9ahJBF78Y/kzVK6WhrnxBY1N/nIs8ZRg/0ieFKo1HOqVSGR8kAnOB4ou8SHHRAkVCtoD5168t5sVdd4npwLTMRJCLEOBTj2JA3kC7EOMwBl53lwI5HxnJuAaM/9Yvf252P61HU1D/C0NTzg8aYxTtrNtxMg68THJVLl0QS4xCW460jGjkYBjq0Y411QaVh+2wleQORA3tsltKflyd3urvGAgowBJWd4flLkAKcfodcpderO85qCLRssjBCxuXOAY8kcad7e3vD3t3AQ1sbPs6ZApJGaEqD4NB+wLaK/2KVxLYw19Boyjhkkk/OFNE+v5iMmG7RA0Wmeq9OpJzWLtgfND0eI0wgJCWlzKiWAj+79wAMP4B//+Ae6dLEsz5UCHFsZ5zmiMW/ax6Dn01lUXQNQPykp1YK1zdsX6HwvH+hQlcfHXaorByKTqMmKEDflriMZA8Dhw4fb3MZgMKC4uBjvvfcenn76aezdu9eifdO3si10NUBtCb9N1d2W09Xy7t/qCgACTyL2bn/1o8cSJHy2ct9Q4OZPvAffjeOAYjCfZ4tYpqaYj10V0h3wjxC7NIS0iDEbJ9t04jYqtVqNUaNGwcen7ZSEfv36mSaftQTVa9tCVcD/+oYDPpRcbBFNJXD9BA9uvHz4l7L8Ds9NJLZFYGeg832AdwAPGm+ede7GdmdTU8KDQ2MzKSGkw6WlpSEiIgLTpk3DJ598goqKiha3vfPOO/HRRx9ZvG8KcKzFDHzAMAAIjhO3LK6irhy48R2fg8knEOg8nH4520oaCHQexufhihxIgWJ7yBP435piGviPODVjkrEti7O6cuUKjh07hr59+2L9+vVQKBQYM2YM3nnnHeTl5ZltK5VKMXXqVIv3TQGOtWpK+Be1l5R3ZSZtq73Jk2NlIUDMMMq5sReJDFAMMn89dbXilcdV+AQCfuH8dtU1cctCSCvcOcABeNPTSy+9hNOnT+PKlSt49NFHsX//fvTu3Rv9+/fHK6+8gh9//LHd+6UAx1qV9c1TQbHUg8VSId157kh0ivNPjOnKqguB/EMNNYykZYH1vTGqrjn/twAhHiAmJgZpaWnYu3cvSktL8corryAvLw/jxo3DmjVr2rUvSjK2VuTdQNX1+qHfSYvUKl6z4FU/Em9wV7FL5P5qywAYeAIyBB6Ek+YFRPNpMLTVPC/M3eY3I27CnftRtSwgIACPPPIIHnnkERgMBpSVlbXr+VT1YC0vH/5lTc0sLVNX8Jyb4tOAQSd2aTxHWB8guD6/5OZPPMeENM/LGwhQ8NvUTEWclDs3UU2YMAFKZcOEwn/961/NEo3Lyspw1113wcvLCxER7atQoACHOIa2Bij6HmA6npBNOo4g8CAnsAsABhRn8QRv0rzALrzLvW+o2CUhpFnGbuK2LM7qm2++gVqtNt1/4403cOvWLdN9nU6Hy5cvW7VvCnDaS1vNuzkrqWtpiww6Xmuj1/A5lBT30ECIHU0Q+MjafhF85OOi0w0TmBJz/pE86T2ws9glIcTj3B582TMYowCnvapv8In6qNq/eca5kjSVDb17aE4pcQheQFQyIJUDBg2guip2iQghVnDnJipHop/V7VVVyP9S1/DmlV/mwZ/gBUQNohGKxeblzYPMquuAvJvYpXFuulo+/ENgZ6pxJE7FnVOMBUFoMheVJXNTWYL+i9tDWwNo6pOhjImJpIFe3dB0F96feqQ4C28/PiknaRljPCFeV8trHun/m5AOwRjDnDlzIJPxufTq6uqQlpaGgADegadxfk57UYDTHtX1tTe+4fwiSMxJZHx04upCIMiy2V5JBzPogFuX+Nxp0mCxS+M8hPoJX1V5vBaHAhziRNx5LqrZs2eb3X/88cebbPPEE09YtW8KcNqj+gb/G0jNUy2SBgLS7mKXgrSk7CJQeRWou8WDURqksoF/ZH2AU8xrdGjaC+Is3LiNKj093WH7drmr29q1azFo0CAEBQUhMjISDz74YJMuZHPmzDG16xmX9sxA2iy9un72a/B5f0iD6iL+hUmcX6cePOlbo+L5UqSBbzgP+PR1PEm+A4l2XSPEjblcgHP06FE888wzOHXqFDIyMqDT6ZCamorqavMusOPGjUNhYaFp2bt3r20H1mt5FbZvKODta9u+3IlezWexvvEdr9onzs3bFwjvx29X/NoQtBM+2rZxZPIO7iUp2nWNuARmh8UTuVwT1f79+83up6enIzIyEllZWbjvvvtM62UyGRQKO9a0SAP5eC5O3JYpitILfAJNaXDDxIXEuQXG8Dyp6ht8moKYe6k5xsg/kgc3NcVAp45rahXtukZcgjvn4DiSy9Xg3M44xHNoqPkopEeOHEFkZCR69OiBefPmoaSk9doFtVoNlUpltjSLvgga1JYC1df57Yj+lM/hSsL6AIKE1+AYJ44lPMAB+Oti0IpWDHtc1yy+phHiplz6G4kxhsWLF+Pee+9FYmKiaf348eOxfft2HDp0CH/729/www8/YPTo0a12N1u7di3kcrlpiY1tNEGhQQvoahx5Kq6HMaDsAr8d3BWQhYhZGtJe3r5Ap578dkUO1Uwaefvz8ZviU0UboNJe17VWr2nEpdBAf9YRmAvXXT3zzDPYs2cPTpw4gS5dWu6WXFhYiPj4eOzYsQMPP/xws9uo1WqzC4VKpeIXhK7jeHX+zZ/44H5RyXY/D5dUWcBzbwRvIG40dZt3RczAE42DEyivrDUGLZC3H0qlEsHBju9ab6/rWkvXtMKbZVCE07xb7aVSqSCXyzvsc9D4mPPTFprGibGGWq3G5k3vdmjZnYHL5eAYPfvss/jyyy9x7NixVi8CABAdHY34+Hjk5OS0uI1MJmv5A1Rbyv/6BFpbXPdi0AO3fua3O3Wn4MZVCV5AaG+xS0Eased1rdVrGnExDMxd+4k7kMs1UTHGsHDhQuzatQuHDh1CQkJCm88pKytDQUEBoqOtGL+GsYYAh5JoOUHggY1vGP/1T9wDNcNyrD6ALzzFg/mOOGRHX9cI8QAuF+A888wz+Pjjj/HJJ58gKCgIRUVFKCoqQm1tLQCgqqoKS5cuRWZmJvLy8nDkyBFMnjwZ4eHheOihh9p/QF0t7woNAZDR1AMA+C//4K5AzFDetZa4NoMOKPweKDgM6OrELo0T8OKDIdbebJiaxcE6/LpGXArl4FjH5QKcjRs3QqlUYuTIkYiOjjYtO3fuBABIJBKcO3cOU6dORY8ePTB79mz06NEDmZmZCAoKav8B1fU9D6TB9GVO3JMgAZiO5+SocsUujfgEAZDV56jUlXfIITv8ukZcDw2C024ul4PTVk60n58fvvnmG/sdUFsf4Mjk9tunq2IMKP6Bj+Qc1IW6hbsLQQDkd/DRqFVXgZDuNJu2byegpn6E7uA4hx+uw69rhHgA+oZqi6kGhwIc1N3iA6CVned5CsR9+Cv4rOMGLVB1XezSiM+3vjlaXe659fvEadBIxtahAKctQbH8160fdatE5VX+N7CzaGOEEAcRhIaEcWUufalLQwAIPP9O3/L4WYR0BONIxrYsnogCnLYERPFRX6WeM3ZAs/QaPh4QAATHi1sW4hhBcbzZUVvJJ+P0ZF4SwMef39ZUiVsWQohVKMAhlqm6xpNQpcHUXOeuJD58QlmAv9+ezieID2Qp4pQNhADUi8paFOC0pbaMLnBAQ+1NUCzNx+XO5N2AyAEN0zh4ssgBfCTzQBpnhohLrABnw4YNSEhIgK+vL5KSknD8+HGLnvfdd9/B29sbd999t3UHthMKcNpS/APvWeLJdHU8wRjg01UQ9+XbCQjsQr2oAP4aUDBPPNTOnTuxaNEirFixAtnZ2Rg+fDjGjx+P/Pz8Vp+nVCrxxBNPYMyYMR1U0pZRgGMJnwCxSyAug5bPsuwbynvaEEII6TBi9KJat24d5s6di6eeegq9e/fG+vXrERsbi40bN7b6vPnz52PGjBlISUmx4qj2RQGOJbz9xS6BuKRBgGIwED1U7JKQjqDXAOW/AMU/em7jPcDPvegH4NoxsUtCPJy9elGpVCqzpaWZ6DUaDbKyspCammq2PjU1FSdPnmyxnOnp6fjtt9+wcuVK+528DSjAsYSnBzhGVF3vGQQvoDyH511pq8UujXgEAVBX0BxdRHT2ysGJjY2FXC43LWvXrm32eKWlpdDr9YiKijJbHxUVhaKiomafk5OTg2XLlmH79u3w9naOJm7nKIUzEyS8d4mn0tUBYNQ05Um8vPm4T7WlQG0JIA0Uu0TikQYCtTQ/F3EPBQUFCA5uGPKkrdnmhdt+1DLGmqwDAL1ejxkzZmD16tXo0aOHfQprBxYFOKGh7RvkThAEnDlzBvHxbjBeiqfX3qjygIocPthhWB+xS0M6im84D3DqbvH33lNJKLAn7iM4ONgswGlJeHg4JBJJk9qakpKSJrU6AFBZWYkff/wR2dnZWLhwIQDAYDCAMQZvb28cOHAAo0ePts9JtINFAU5FRQXWr18Pubzt8U8YY1iwYAH0ejcZyt/Tay7qyvhfH5rQz6MYpyrooMkmnZZ3679wCekIto5l097nSqVSJCUlISMjw2y2+oyMDEydOrXJ9sHBwTh37pzZug0bNuDQoUP4z3/+g4SEBKvKbSuLm6imT5+OyMhIi7Z99tlnrS6Q0wmMFbsE4mEMUCv5beMXHvEMshDwqQrqAF2t5wb6EgpwiGdavHgxZs2aheTkZKSkpOD9999Hfn4+0tLSAADLly/H9evX8eGHH8LLywuJiYlmz4+MjISvr2+T9R3JogDHYDC0a6eVlZVWFcYpBUSIXQLxaKv5pJqCF+DjwXkYnsjLm49arVHyWpxATw1wfMUuASEdXoMDANOmTUNZWRleffVVFBYWIjExEXv37jWlnhQWFrY5Jo7YKMmYtExTX3sjDaYeVJ5IGsyDXE8eydtbxqdrYDqxS0I8mK0TZlr73AULFmDBggXNPrZt27ZWn7tq1SqsWrXKquPai1UBzvXr1/Hdd9+hpKSkSe3Oc889Z5eCOQ2DznNnzlbXT7hIc095pvC+QER/zw5ufcOA+PuBvP1il4QQ0k7tDnDS09ORlpYGqVSKsLAwsy5jgiC4X4CjqfTc/ANd/RgontxN2JN5ScQuASEE1o9G3Pj5nqjdAc4rr7yCV155BcuXL4eXlweME+iptTcAEBDDu8nL2jdMACGEEPsRIwfHHbQ7wKmpqcH06dM9I7gBPDvACYzhC/FMjAFF3wN6NRCdAkikYpdIHMVnxC4BIcQK7Y5S5s6di88++8wRZXFONKsy8VTGqQo0Kt5d3FNp3KhXKHFJ9pqqwdO0+9t77dq1mDRpEvbv34++ffvCx8e8hmPdunV2K5xT8NQ8BIMe0FbyGixPn03dk0l8eS8qnRrw0AocCB5SW02cFuXgWKfdAc6aNWvwzTffoGfPngDQJMmYuAltFXD9OB/oLD617e2Je/KW8UDXk2twKMAhYqMkHKu0+z933bp12Lp1Ky5duoQjR47g8OHDpuXQoUOOKKPVNmzYgISEBPj6+iIpKQnHjx8Xu0iuwzj2iSfnIJGG95+5ydQr1hCcqxaXrmuEWKbdAY5MJsOwYcMcURa72rlzJxYtWoQVK1YgOzsbw4cPx/jx451+5EWnYQpwKAfJoxlrLwyeHOA4T800Xdc8E+XgWKfdAc7zzz+Pf/7zn44oi12tW7cOc+fOxVNPPYXevXtj/fr1iI2NxcaNG8Uummsw/kdQ9bxnM9ZesPZN1+JWnKgGh65rnonZYfFE7f55fvr0aRw6dAhff/01+vTp0yTJeNeuXXYrnLU0Gg2ysrKwbNkys/Wpqak4efJks89Rq9VQq9Wm+yqVyqFlJMQleHnzZipPDnQlztFM297rGl3TiKdrd4ATEhKChx9+2BFlsZvS0lLo9XpERUWZrY+KikJRUVGzz1m7di1Wr17dEcUjxHWE9eGLJ4voD1QXil2Kdl/X6JrmRmxtZvLQKhyrpmpwFbf36mKMtdjTa/ny5Vi8eLHpvkqlQmxsrEPLRwhxAdXFYpfAjKXXNbqmuQ/qRGUdt8wgDQ8Ph0QiafKrpqSkpMmvHyOZTAaZTNYRxXMNPgGAvBsgDRK7JERMqqt8oL+AGMAvTOzSiEOVJ3YJALT/ukbXNOLpLGpYHzhwIMrLyy3e6b333ovr169bXShbSaVSJCUlISMjw2x9RkYGhg4dKlKpXIxMDoTdBQTRLz6PVlPCv+C1Hjyar5P8/KXrmueiXlTWsagG5+zZs/jpp58QGmrZpItnz541S24Tw+LFizFr1iwkJycjJSUF77//PvLz85GWliZquQhxKTRcgFONAUTXNc/Ee0JZH6V4aHxjeRPVmDFjwCwMA51hRONp06ahrKwMr776KgoLC5GYmIi9e/ciPj6+fTvy1NCXMUBXy7/gpMFONRYI6UD6+h8qEl9xyyEmJwpw7HZdI8QDWBTg5ObmtnvHXbp0afdz7G3BggVYsGCBbTtxootbh2IGoOBbfjt+rOfOJO3pjFM0SDw4l8PJxgCyy3WNuBRKMraORQGOR/86MOjELoE4vCT8S02vBnQ1FOB4IoO+4fPv0TU4zhXgEM9DAY51PHj0LgsJHpx74O3P/2prxC0HEYeu/n0XJJ6bg8NYQx4SISKhkYytQwFOWyQeemEHAJ/6AEdHAY5H0lbzv9JAz87BihokdgkIIVbw4G9v0ibvAP5XUyVuOYg4AhQ8/8qTazAEAfCzrPcoIQ7lqdUwNqAApy26OkDqHHPRdDhZMP+rUYpbDiIeiZTyrwgRGeXgWKfdTVRz5szBsWPHHFEW5+QEc9CIRirnfzWVlGhJPJNGBajyxS4FIcQK7Q5wKisrkZqaiu7du2PNmjWijljcIXS1YpdAPN5+QHACEN7Xc38CeCq9BrjxHVB20bPf+5qbwK2LYpeCeDhKMrZOuwOczz//HNevX8fChQvx2WefoWvXrhg/fjz+85//QKt1w7Z6Tw5wBAEITwSC43m3ceI51BVA3S2gpsizE4z14o7ITghAUzVYy6peVGFhYXj++eeRnZ2N06dP484778SsWbMQExODF154ATk5OfYup3i0HhzgEM9Vd4v/lXUStxxiowCHEJdlUzfxwsJCHDhwAAcOHIBEIsGECRNw4cIF3HXXXfj73/9urzKKS1fjueEvwM9drQQqfvPs18HT1Jbyv74e3oPIk2twidOgGhzrtLsXlVarxZdffon09HQcOHAA/fr1wwsvvICZM2ciKCgIALBjxw788Y9/xAsvvGD3Anc8A2DQePBQ9Qy4cRJgOsAvDJCFiF0g4mh6NaAu57f9I8Uti9i0NEQCER9jzOK5IFt6vidqd4ATHR0Ng8GA3//+9zh9+jTuvvvuJtuMHTsWISEhdiiek9DWeG6AI3jxwKamGKgupgDHE9Tc5H+lwTzR3FPpNdRERYgLa3eA8/e//x2PPvoofH1bnpumU6dOVk3Q6ZRC7/LsizwABETXBziFQGhPsUtDHK2mmP+l2hv+10sGGCjQIeKxtSeUZ9bfWBHgzJo1yxHlcF7BcYCXhw70Z+QfBUAAtJV8TBxpkNglIo4kkfG5p/wVYpdEXFI5EHMvz8MpyRK7NMSD0UB/1qGRjEnbJFLALwKoLeG1OBTguLfwRCC0N2+e9GReEsC3E2AIFLskxMNRgGMdD7+CWaCuHKgsELsU4guM4X8rCzz3v8WTeEk8e/wbQojLowCnLUXfAzfP8oRDTxYQDQjefOJFml3cPenVPKCnAJa7dRlQ5QF6ndglIR6ORjK2DjVRtUXiC+jr+Jw0fuFil0Y8Xt5ATArgE0SjGrsrZS5QkQMEdgYiB4pdGnEZtEDFL/x2bIS4ZSEej5qorEM1OG2R1s+oraYZtSELoeDGXRn0gOoqv+3pycUAUFfB/3r702zqhLgoCnDaIqsPcDQU4Jgwxmu0iPuous4HtPT2AwIowDENdOjr4VNVEKdAIxlbh5qo2iKV879Ug8Pp6oDCk/xv3P3069YdMAYof+O3gxOo9xRAc3ERp0Lj4FjHpa5kWq0WL774Ivr27YuAgADExMTgiSeewI0bN8y2GzlyJARBMFumT59u3UGNTVTaKt4u7+kkMkCQAEzPEzCJ66u+wT/fXj5AUJzYpREfYzzZGuiQubhEua4R4gFcKsCpqanBmTNn8PLLL+PMmTPYtWsXfvnlF0yZMqXJtvPmzUNhYaFp2bx5s3UH9ZbxdngAqC2zofRuQhCAkDv5beUV6l3m6pgBKL/Mb8vvACQePqglwAe0ZDoeyHfAmE+iXNeIa7G1ecpDq3BcqolKLpcjIyPDbN0///lP3HPPPcjPz0dcXMOvT39/fygUdsolCEsEJN5UXW0UEAP45PAvgoocIKyP2CUi1tLVARAALykPcAgfrRvg/++CF6+tdCDRrmvEZVAvKuu4VA1Oc5RKJQRBaDK55/bt2xEeHo4+ffpg6dKlqKysbHU/arUaKpXKbDEJiAJ8wyg3wUgQgLC7+G1lLqCtFrc8xHo+/kCXkUDMUD4UAOHd5OPHAhF9RSuCPa5rrV7TCPEALn1Fq6urw7JlyzBjxgwEBweb1s+cORMJCQlQKBQ4f/48li9fjp9++qnJr6TG1q5di9WrV3dEsd2DXwQfF6i2FLh1CYhKFrtExFqCQNNv3E4iFS2B3l7XNbqmuQ9KMraOwJjzVl5t374d8+fPN93ft28fhg8fDoAn5j366KPIz8/HkSNHzC4Et8vKykJycjKysrIwcGDzA5ip1Wqo1Q0zBqtUKsTGxgJdx/Hky9qbQHURn3jS02dZNlKrgOtHeaATdQ+NkeNKNJX88xxyB881IS0zaIG8/VAqla1eZyzVUde1lq5phTfLoAh3fPK0u1GpVJDL5Xb7HLTnmKMmPg1vH+sDbp1Wg8N73u/QsjsDp67BmTJlCgYPHmy637lzZwD8IvDYY48hNzcXhw4davMNGzhwIHx8fJCTk9NigCOTySCTyVreSXUx7zXEGAU4RrJgoPNw3pWe5i1yHYwBpeeAujJAXwuE9xO7RM5DeQWousHzkYzzr9lZR13X2rymEZdBOTjWceoAJygoCEFB5lXnxotATk4ODh8+jLCwsDb3c+HCBWi1WkRHR1tfGL9wQJUL1JVavw93JAsRuwSkvVS5PLgRJIC8m9ilcS7VRXyQP32dww7hVNc1QtyYUwc4t9PpdPjd736HM2fO4Ouvv4Zer0dRUREAIDQ0FFKpFL/99hu2b9+OCRMmIDw8HBcvXsSSJUswYMAADBs2zPqD+4UBEHhCrbYa8Amwz0m5C4MWKLsEBEbz/BzinDSVPGcK4Ini9DluoNc2DPDnH9VhhxX1ukZcAtXgWMelApxr167hyy+/BADcfffdZo8dPnwYI0eOhFQqxbfffot//OMfqKqqQmxsLCZOnIiVK1dCIrEh18DLhwc5taVAdWHDWDCEK88BKq8CNUVAlxF8QEDiXJgBuHmW//WLAILixS6Rc6m9CYABPoEdGviJel0jLoGSjK3jUgFO165d0VZOdGxsLI4ePeqYAgREU4DTkk49gJpiPiJuSTagGEx5Oc6m7CKgruDBekR/en9uV1PM/3Zwjp3o1zVC3BQN7NIe/vVt3eoKQFsjalGcjpc3EJXExwqqvQlU/Cp2iUhjujqgsoDfjribT6pJGjAG1JTw2x3YPEWIJWiyTetQgNMe3jI+4J9PAO99QsxJg/mozwBQ/jOv6SLOwduX93gL60uzhTenrozPpi54d8j8U4S0BwU41nGpJiqnoBjEL4JUvd+84HhAo+Jd6kuygRh/QCYXu1Sei7GGz6o0kC+kKS9vwF9RP5ks/e4jxB1QgNNeXjQZYZvC+vCeZhoVT2gl4tBrgaLvgdCe1LOtLbIQ/uPFU3/qEqdGScbWoQDHWgY9oFfzuXyIOcELiEwCmLZhJnbSsZgeKP6Bj+ly8ycgdhSNWGwJqpklToi6iVuH6mKtUVMCXD0AFP8odkmcl8THPLipuwXoNeKVx5MY9PyzWVfGm1OjBlFw05rKazRhLCFuiAIca8jkvOlFo+Q9qkjram4ChZlA4SkKchzNUF9zU1PCa9IUgygHqjV6NR8bqOAQ9YwkTouSjK1DAY41JDI+Yi8AqK6KWxZX4O3LaxI0SuDGd4COeqA5hEEHFJ/m3fQFCR+LyC9c7FI5t6obABgPAqm5mTgpZofFE1GAY62gOP636jr/YiEtkwYBMUMBiS8fCPDGd4CmSuxSuR/VVT4QpSABFPdQcGOJqmv8b2AXcctBSCuoBsc6FOBYyzgeDtM3XCRJy6RBQMww/prpanmQU1smdqncizyBf1FHD6HgxhJ1FfVNzAIQ2FnkwhBC7I0CHGsJQsNcPqp8ccviKnz8eZAjlfNB1Qoz+ZcMsV5dGc+7Aep7rw2ggeospbrC/wZ2prnTiFNjsLEGR+wTEAkFOLYIigXgxXNLqMnFMhIZb64KiOFD4lMCrHUYA8ovAzdOAmUXxC6N69HV1effgNd8EeLEKAfHOjQOji0kUiDybj5IWAfOPuzyvLyByIG8J5px3BGDln/pSIPELZsr0KuBkjM83wYAwMxHLCZt06gALwmfXkQWInZpCCEOQDU4tgrsTMGNNQSBf8EYlZ4Drh8DlHmemxFniepC4NqRhmTiiLtpZnBr+EcCcQ/w148QJydWkvGGDRuQkJAAX19fJCUl4fjx4y1uu2vXLjzwwAOIiIhAcHAwUlJS8M0331h5xvZBAY490Rgv1jHo+WvHDEDZOaDoFA28dju9BijO4gP46TWATxCfPDMoVuySuS4vb/pxQlwCY4DBhsWaAGfnzp1YtGgRVqxYgezsbAwfPhzjx49Hfn7zOafHjh3DAw88gL179yIrKwujRo3C5MmTkZ2dbePZW48CHHsw6PgXT/63FORYw6t+zJawPjxRtraU11KU/8J7qREe/NXeBCAAIXcCXYZTc541GOO996iWkJBWrVu3DnPnzsVTTz2F3r17Y/369YiNjcXGjRub3X79+vX485//jEGDBqF79+5Ys2YNunfvjq+++qqDS96AAhx7ECS8xoHpAGWu2KVxTYIAyO8AuozkXZyZgSfRXjsKaCrFLp041MqGL2JvX95DqvO9QGhvmnrBWrUlQOFJPkwBBTnERdiriUqlUpktarW62eNpNBpkZWUhNTXVbH1qaipOnjxpUZkNBgMqKysRGiper04KcOxBEICQ7vy2KpcG/rOFTwCgGMKTkCUy/lp6+4ldqo6lVgJFP/CcpJqihvX+UZQQawvGgFs/89u+oZS3RFyGvXpRxcbGQi6Xm5a1a9c2e7zS0lLo9XpERUWZrY+KikJRUVGzz7nd3/72N1RXV+Oxxx5rz6naFfWispeAaP7lrK3mI8qGdBO7RK5LqB94zT+Sd7/3qv+YMsZnxg6MAfwi3O8LSl3Bm+VqihvWaVT8s0VsV1PEX09BQv+fxCMVFBQgODjYdF8ma338J+G2ayxjrMm65nz66adYtWoV/vvf/yIyMtK6wtoBBTj2ItTnRtz8CVD+BgR3Ne8lRNrPywfw7dRwv6YIqCrgizQIkHfjwY4rN9cwxs9LmcsH7TMKiAE69aA8G3thDLh1md+W30ED+xGXwpgAxqz/QWd8bnBwsFmA05Lw8HBIJJImtTUlJSVNanVut3PnTsydOxefffYZ7r//fqvLbA/URGVPgV34fEt6NaDKE7s07kcWwr+cBAnPy7l5FriawbuYq5Vil846ggBU/NYQ3AR25nlIUUkU3NhT9XVAW8mDZjnV3hDX0tHdxKVSKZKSkpCRkWG2PiMjA0OHDm3xeZ9++inmzJmDTz75BBMnTrTmVO2KanDsSfACQnvxL97K/PovYzdrRhGTtx/vaRXSnTcDqvIAfR3/q8oDuozgA7c5K10tH8em6gYQlcwThwFe86cuB4LjAW+a0drumIE3/QE8uJH4iFseQtrJ1tGIrXnu4sWLMWvWLCQnJyMlJQXvv/8+8vPzkZaWBgBYvnw5rl+/jg8//BAAD26eeOIJ/OMf/8CQIUNMtT9+fn6Qy8UZsd7lanDmzJkDQRDMliFDhphto1ar8eyzzyI8PBwBAQGYMmUKrl3roAkxA7sAYYl8jBIKbhxDIgU6dQfi7ufdywNi6keTblTjUXaBL9VF4nXdN+h51+6yi7w3WP5BXiZ1OVB9o2G7AAXvGUXBjWPo63itn5fUaadlcPrrGvE406ZNw/r16/Hqq6/i7rvvxrFjx7B3717Ex8cDAAoLC83GxNm8eTN0Oh2eeeYZREdHm5bnn39erFNwzRqccePGIT093XRfKpWaPb5o0SJ89dVX2LFjB8LCwrBkyRJMmjQJWVlZkEgcnK8hCE57EXU7gsATkf0jzacqMOh5DQ/TA8r6CRWlwTyfxzg0v717Ixn0vKbAWDtQV87niYLBfDtZJ94MFRBj3+OTlnn7A53vA3TVDQnrTsipr2tEVAYGCDZU4RisfO6CBQuwYMGCZh/btm2b2f0jR45YdxAHct7/9lbIZDIoFIpmH1MqldiyZQs++ugjU4LTxx9/jNjYWBw8eBBjx47tuIIyxnMr/MI77pieqnFtmSDwMWNqSoC6W4C2ivee0aj4436RQPRgfpsx4GY2z53y9uVfgIJ3/V8JT0aVBvJtDXpe86LX8NnQ9RpAW8P3r68DghOA8ES+rU8AAAN/vl8k4B/BPweU3CoOQQB8AsUuRatc5rpGOpwt0y0Yn++JXDLAOXLkCCIjIxESEoIRI0bgr3/9q6krWlZWFrRardkARTExMUhMTMTJkydbvBCo1WqzQY9UKpVthWQGPpiYugKIHgr4hdm2P2I5wYt3rTZ2r9apeaCpruBBTuP3wqABqq63vK/AWD6hKt+Y51e1RFfbcFsiBWLH8LwhaqoUh7YaqLzGu4Q7cc2Nkb2va3a/phHiYpz/v/4248ePx6OPPor4+Hjk5ubi5ZdfxujRo5GVlQWZTIaioiJIpVJ06tTJ7HltDVC0du1arF692n4FFbwAqZx/qd66CMTcS190YvGW8e7kgc01C3kBoXfx4ESv5gMLMl39Xz0PVIwEbz7+jpeUr5dIeQDjE8AXL/MmBfhQTo2oyi7wMYV0NbxGz4k54rpm92saEY0YScbuwKkDnO3bt2P+/Pmm+/v27cO0adNM9xMTE5GcnIz4+Hjs2bMHDz/8cIv7amuAouXLl2Px4sWm+yqVCrGxNk5k2KknUHWNBzmVBUBwnG37I/Yn8bF80DdBAKKHtL0dEV9Ncf2AifXjUzmRjrquOeSaRkQhVg6Oq3PqAGfKlCkYPHiw6X7nzp2bbBMdHY34+Hjk5OQAABQKBTQaDcrLy81+7ZSUlLTaf18mk7U5qmO7ect4kHPrIl/8Ixu6BhNCHMOgB0rP89vyO5xuPKGOuq455JpGiAtx6m7iQUFBuPPOO02Ln1/TOYnKyspQUFCA6Gieb5GUlAQfHx+zAYoKCwtx/vz5VgMch5En8KYqgxYoO9/xxyfE0yh/481SEl8+GrSTcYvrGulQHT3Qn7tw6gDndlVVVVi6dCkyMzORl5eHI0eOYPLkyQgPD8dDDz0EAJDL5Zg7dy6WLFmCb7/9FtnZ2Xj88cfRt29fcYaNFryAiP4ABD7IW3Vhx5eBEE+hrQYqeK0Hwu5yieRil7yukQ7Fc3AEGxbP5Pz//Y1IJBKcO3cOH374ISoqKhAdHY1Ro0Zh586dCApqqIb++9//Dm9vbzz22GOora3FmDFjsG3bNvHGipDJeZ5H7U0azI0QRyo7z3sw+oa7zFhDLntdI8TJCYx5auVV61QqFR9euus4Pn+NrVj9gG+CS1WaEeJadLU8/yasj/16sRm0QN5+KJVKiyYqdFbGa1rhzTIowkPFLo7LMb5+Hfk5MB7zzqHzIfG2Pp9Kr1Pj15ObXf4z3F4uVYPj0m4PbJiBgh1C7M3bD1AMErsUhNgVDfRnHfqG7WgGPXDrElBwRLw5kghxJ6x+zi9C3BRjvKu3tQsFOKSDGPhs0rpqoPR/nvvJI8Reyn8BCk8BZZfELgkhxIlQgNPRvHyAqCSYelVVXhW7RIS4rrpbQMWv/LZviKhFIcRRmB0WT0QBjhhkIUBob3677AKgpjliCGk3vQYoyea3A7s0zD1GiJuxpXnKuHgiCnDEIr+Dj2zMDEBJFp/7iBBiGcZ4cKOr4YnFYYlil4gQ4mQowBGLIAARd/PRVrVVDUPLE0LaVv4LUFvCeyJGDeJzihHiphgTbF48EQU4YpLI+CzHgjfgS+NSEGIRTRVQ8Qu/Hd6PD6RJiBsz2GHxRDQOjtj8woG4MYBEKnZJCHEN0kAgKhmoKweCaHZsQkjzKMBxBo2DG10dz8ux1yishLijgGhKKiYew2BjVyhKMibi06iA68eBotN8eHhCCMcYz7vR1YpdEkI6HPWisg4FOM7EywcAA7SVQMkZGgSQEKPyn4Hyy8D1E9TjkBBiEQpwnIm3H+8RIngBNSXArYtil4gQ8SnzGgbz69QD8KKWdeJZqAbHOhTgOBvfTrz7OAAorwAqGumYeLDqQqDsHL/dqScQHC9ueQgRgQGCzYsnop9CziiwMx8bp/wXPl+Vlw8QGCN2qQjpWLVlvKkWAILigZDu4paHEJEYANuSjO1VEBdDNTjOKqRHQxdY5RXKxyGeRVMJFP/AexT6RwHhffngmIQQYiGqwXFWggCE9we8/YHgBLq4E8/i5cNz0oRAIDKJPv/EozEb82g89fcxBTjOTBB4UmVjejUfAZkQd+btC8QM5VdmL4nYpSFEVHrApiwaD41vqInKpVT8BhQcBtRKsUtCiP1pa4DKgob7Xj40wjchxGpUg+MqmAGoKeIDABaeAmJSAGmw2KUixD601UBhZv1AfgIQ1EXsEhHiNPQMEKiJqt2oBsdVCF6A4h4+saBBA9w4yefiIcTVaav551lXC/gEAH5hYpeIEKeiY7YvnsjlAhxBEJpd3nrrLdM2I0eObPL49OnTRSy1nXj5AIohgCykviYnE6i5KXapCLGepooHN/o6wCcQiB7Kk4s9jEdf1whxEJdroiosLDS7v2/fPsydOxePPPKI2fp58+bh1VdfNd3383OTi6ZECkSn8C60taVA0fdA5EAaJ4e4Ho2KN7fq1Y2CG89MoPf46xpplR4CBBvSjBkN9OcaFAqF2f3//ve/GDVqFO644w6z9f7+/k22dRte3ry5qiSbj/SqrxO7RIS0j64OuP4dwHSANIgH7R7cO5Cua6Q1OsrBsYrLNVE1VlxcjD179mDu3LlNHtu+fTvCw8PRp08fLF26FJWVla3uS61WQ6VSmS1OTZDw8UGiBgHyO9renhBn4u0LyBMA31Bec+PBwc3t7HVdc7lrGiF25nI1OI198MEHCAoKwsMPP2y2fubMmUhISIBCocD58+exfPly/PTTT8jIyGhxX2vXrsXq1asdXWT7EgQgoNGvOb0GUOXyIe0Fl45diTtijNfYePnw+516AmD0Wb2Nva5rLnlNI81jNtbCeGgNjsCY81Zebd++HfPnzzfd37dvH4YPH26636tXLzzwwAP45z//2ep+srKykJycjKysLAwcOLDZbdRqNdRqtem+SqVCbGws0HVcwwXZmTEGFJ3ieTm+YUBUEv0qJs6D6YGSnwBdNa+xcaXB+wxaIG8/lEolgoNtH5qho65rLV3TCm+WQREeavN5eBqVSgW5XG63z0F7jol+f7Tteq5XA//b2KFldwZOXYMzZcoUDB482HS/c+fOptvHjx/H5cuXsXPnzjb3M3DgQPj4+CAnJ6fFAEcmk0Emc+GAQBD4lA515UBdGXD9OG++ksnFLhnxdHoNT4qvuwVAANS3AL8IsUslmo66rrn8NY00YLCtFsZpqzEcy6kDnKCgIAQFBTX72JYtW5CUlIT+/fu3uZ8LFy5Aq9UiOjra3kV0LgEKoPNwoOg0oKsBbnwHRNxNPayIeOrKgZIsPsaN4A1EJXt0cAPQdY2QjuLUAU5LVCoVPvvsM/ztb39r8thvv/2G7du3Y8KECQgPD8fFixexZMkSDBgwAMOGDROhtB1MGsSDnJIs3lxVksW743bqSRMWko7DGKDKA8ouAGB80ljFIBp9uxV0XSMtoyoca7hkdt+OHTvAGMPvf//7Jo9JpVJ8++23GDt2LHr27InnnnsOqampOHjwICQSF2r3t4VECigGN/SuqroOGHTilol4lvJfgLLzABjgrwC63EfBTRvoukZaxBifrsfqxTMDHKdOMhaTKbnLVZKMW1JZwPNw6MuFdCRtDXDjOO/RF5zg2rWHdk4yFovxmkZJxtYRNck4cb5tE8/qNcD5zS7/GW4vl2yiIu0QFGt+X3mF50OE9uJj6RBiD4wBGiWfRgQAfPyB2DF8UEpCiG2Yjf3EPbQeg64+nkRXB9y6xKssa0v5FA/S5pMdCbGYrg4o/R9QU8xH2PaP4uspuCHETgz1iy3P9zwumYNDrOTtC0QmA15Snnh8/RigzPXY6J7YiDGg8hpw7QgPbiDwpilCCHEC9BPL0wREAbIRwM2zQO1NnghaUwSE9wN8AsQuHXEVjWttAEAqByLvplwvQhzBmCxsy/M9EAU4nsjbl/eyUuXyJqvaUj4wYNz91KxA2lZ1gwc3Bi0AAejUAwi5k6ZcIMRRKMCxCn2beSpB4N3I/aP4l5VvGAU3xHIGLdXaEEKcGn2jeTqfAEAxxHxd3S1AdRUIu4vmsyI8mNFU8pm/gYaRsQMUVGtDSIegJGNrUIBDzMcoYQwoPceTkGuKgU69gOA4+iLzRIzxcZTKL/HbsaMbxuKg6T8I6TjURGUVCnCIOUHgCcel/+NBTtk5PnZOaE8gIMa1B2wjlqu7BZSe52PbALymT1dn22BjhBDr0Dg4VqEAhzTl24nPZ6W6ClT8AuiqgZIzgPQ3IKwP4BcmdgmJo2gq+TQL1Tf4fcGbJxHLE6gWjxDiUijAIc0TvPiXWlAsr8Gp+JX/mtfXiV0y4ih6NXDtGEzt9UFxfMRrysMiRGSUg2MNCnBI67zqf8EHx/N8jIBGuRfVhYDEl9f4ENekqwW8/fhtiQwI7MyTijv14HOYEULERzk4VqEAh1hGIuNjnRgZ9DwZWa/mvWvkdwL+kZSj4yrUKt78WF0IdBnZMGVHRH96DwkhboECHGIdpgP8IoGqazwhte404BMIyLsBQZ1pIk9nxBjvGafK46NYG9XebAhwKLghxPkwZmMNDiUZE2I5iYwP8hbak89npboKaKuA0p+A8p95TYBx0kUiLoOOBzWqPN4kZRQQA3TqTgP1EeL0KAfHGhTgENt4+/EBATt1B1T5PCFZX9eQ1wHwZiwvH+qFIxbBq/59qX8fguJ4ThXNPUYIcWMU4BD78PIBQrrxnle1Zea1AqUXgLpSILAL75VlbA4h9qer5XNF1ZUBUYN4k5PgxQdsFARea+NFzYeEuBQaB8cqFOAQ+xK8AP+IhvvMAKhv8doD5W98kXUCgroA/go+8SexjV7Nk4WrrvN8KKOaYj6dAsBHoyaEuCbqRWUVCnCIYwlefIj/mhKgMp//VZfzBed4c0lEf7FL6ZrUFcCtn/ls8Gj0C803FAjoTN33CSEejQIc4niCF69JCFDw4f6rrvEaB3WFeR6IXsNrePwVgCyEevQ0xhh/vQQJIGvU/GfsDSWV8zFsAmPM858IIa6PanCsQgEO6Vjevnw8nZA7eb5I48TjmhI+YnLFr4CXlNdE+IUBvmE8p8fTAh5dLVBzE6gt4bU0Bi3PY4ocwB+XyuunzogEpIHilpUQ4kAMZrW0Vj3f8zhVt5Zdu3Zh7NixCA8PhyAIOHv2bJNt1Go1nn32WYSHhyMgIABTpkzBtWvXzLYpLy/HrFmzIJfLIZfLMWvWLFRUVHTMSRDLefuZTwPg41c/oac3YNAANUVA2QXg+jEgb399U4ybY4zP+5X/LZB/kHe7ry7kwY2Xt/n4QoIAyO+g4MbJ0XWN2M7QUItjzWJlN/ENGzYgISEBvr6+SEpKwvHjx1vd/ujRo0hKSoKvry/uuOMObNq0yarj2otTBTjV1dUYNmwYXn/99Ra3WbRoEXbv3o0dO3bgxIkTqKqqwqRJk6DX603bzJgxA2fPnsX+/fuxf/9+nD17FrNmzeqIUyC28A0DopKArmOBmGFAaG9eOyF484EFfRp9kZf/AhQcAYrPAOU5QHUxoK1xjd4Ceg1QV87HDrr5E1CS3fCYIPAJL3U1/L4sBAjpwV+P+LFARD9RikysR9c14op27tyJRYsWYcWKFcjOzsbw4cMxfvx45OfnN7t9bm4uJkyYgOHDhyM7Oxt/+ctf8Nxzz+Hzzz/v4JI3EBhzvm+EvLw8JCQkIDs7G3fffbdpvVKpREREBD766CNMmzYNAHDjxg3ExsZi7969GDt2LC5duoS77roLp06dwuDBgwEAp06dQkpKCn7++Wf07NnTojKoVCrI5XKg6zjeBZqIhzFAW2ne9bzoB17Dczsvb8AnCFAMaqgd0lQBYLzGyKsDWmWZgQ+uJ5E2rLv1M8+X0Vbz2hjzQgMJ4xua62qK+TqZ3HwfRBwGLZC3H0qlEsHB1g+KKPZ1zXhNK7xZBkV4qNXn4amMr5+tnwNrjomECbZ9Dxm0QO7edpV98ODBGDhwIDZu3Gha17t3bzz44INYu3Ztk+1ffPFFfPnll7h06ZJpXVpaGn766SdkZmZaX3YbuFQOTlZWFrRaLVJTU03rYmJikJiYiJMnT2Ls2LHIzMyEXC43XQQAYMiQIZDL5Th58qTFAQ5xIoLQdLTd8ERAEwdoVLzGQ6PigYxBx2c992oUGJT/zJt5AB7gSPwAbxmvGfLyBiLubsjvqSnhuS9e3gBYo/En6v/KuzbsV3WV9wbTa/hiMP7V8mCl64SG/WqreJKwkcSXNy3JQvjSGI0A7VHoukba1MHj4Gg0GmRlZWHZsmVm61NTU3Hy5Mlmn5OZmWn2GQaAsWPHYsuWLdBqtfDx6fiKApcKcIqKiiCVStGpk3n316ioKBQVFZm2iYyMbPLcyMhI0zbNUavVUKvVpvtKpZLfMOjsUHJid17ePAnZt9EvUWbgNSS6Ot6kZfyfZuC5K0zP309DJa8RAgAIPFgybqu8Yj5P0+0CY8yDoeZqkUxlqWoY5yewftwfH//ma5KYni/E+dRfAxxV2e2o61pL17TKShX8pS516XcKKpUKgOM+B62y9Xuo/vnGczCSyWSQyWRNNi8tLYVer0dUlPmPrcafydsVFRU1u71Op0NpaSmio6NtOQOriPYp3759O+bPn2+6v2/fPgwfPtyqfTHGIDTqYSM009vm9m1ut3btWqxevbrpA/kHrSoTcRWMJzBb6uo3lm977Ui7S0OcV1lZGW8uaIUzXddauqb1uCPBqvIQzpLPgb1IpVIoFAoU5WfYvK/AwEDExsaarVu5ciVWrVrV4nNu/2y19T3a3PbNre8oogU4U6ZMMatu7dy5c5vPUSgU0Gg0KC8vN/u1U1JSgqFDh5q2KS4ubvLcmzdvNokuG1u+fDkWL15sul9RUYH4+Hjk5+d32Ie5MZVKhdjYWBQUFHRYe6+zlUHs4ztDGTz9+M5QBqVSibi4OISGtp234kzXNWe7prVF7Pe5Le35HNiLr68vcnNzodFobN5Xc8FJc7U3ABAeHg6JRNKktqakpKTFz5tCoWh2e29vb4SFhdlQcuuJFuAEBQUhKKh9cxIlJSXBx8cHGRkZeOyxxwAAhYWFOH/+PN58800AQEpKCpRKJU6fPo177rkHAPD9999DqVSaLhbNaamqTi6Xi/rPFhwcLPo/u9hlEPv4zlAGTz++M5TBy6vtTqfOdF1z1mtaW8R+n9tiyefAnnx9feHr27FT2kilUiQlJSEjIwMPPfSQaX1GRgamTp3a7HNSUlLw1Vdfma07cOAAkpOTRcm/AZwsB+fWrVvIz8/HjRs3AACXL18GwCNDhUIBuVyOuXPnYsmSJQgLC0NoaCiWLl2Kvn374v777wfAs7zHjRuHefPmYfPmzQCAp59+GpMmTaJEPEJIh6PrGnFFixcvxqxZs5CcnIyUlBS8//77yM/PR1paGgBeQ3j9+nV8+OGHAHiPqXfffReLFy/GvHnzkJmZiS1btuDTTz8V7ySYE0lPTzcO12i2rFy50rRNbW0tW7hwIQsNDWV+fn5s0qRJLD8/32w/ZWVlbObMmSwoKIgFBQWxmTNnsvLy8naVRalUMgBMqVTa4czaT+zjO0MZxD6+M5TB04/vDGWw9fjOcl0T+3VsC5XP+bz33nssPj6eSaVSNnDgQHb06FHTY7Nnz2YjRoww2/7IkSNswIABTCqVsq5du7KNGzd2cInNOVWA40zq6urYypUrWV1dnUce3xnKIPbxnaEMnn58ZyiD2Me3F2c/DyofsTenHOiPEEIIIcQWTjVVAyGEEEKIPVCAQwghhBC3QwEOIYQQQtwOBTiEEEIIcTseGeDs2rULY8eORXh4OARBwNmzZ5tso1ar8eyzzyI8PBwBAQGYMmUKrl27ZrZNeXk5Zs2aBblcDrlcjlmzZqGiosKqMgmC0Ozy1ltvmbYZOXJkk8enT59u1fFuN2fOnCb7HjJkiNk2lrwm1tBqtXjxxRfRt29fBAQEICYmBk888YRp3BAjR55/czZs2ICEhAT4+voiKSkJx48fd8hx1q5di0GDBiEoKAiRkZF48MEHTWOlGFny/thi1apVTfavUChMjzPGsGrVKsTExMDPzw8jR47EhQsX7Hb8rl27Nvv5f+aZZwA45vyPHTuGyZMnIyYmBoIg4IsvvjB73JJzdtT/hLXa+5k9evQokpKS4OvrizvuuAObNm1ymvIdOXKk2c/Ezz//7JCytfV5aE5Hv36kncTtxCWODz/8kK1evZr961//YgBYdnZ2k23S0tJY586dWUZGBjtz5gwbNWoU69+/P9PpdKZtxo0bxxITE9nJkyfZyZMnWWJiIps0aZJVZSosLDRbtm7dygRBYL/99ptpmxEjRrB58+aZbVdRUWHV8W43e/ZsNm7cOLN9l5WVmW1jyWtijYqKCnb//feznTt3sp9//pllZmaywYMHs6SkJLPtHHn+t9uxYwfz8fFh//rXv9jFixfZ888/zwICAtjVq1ftfqyxY8ey9PR0dv78eXb27Fk2ceJEFhcXx6qqqkzbWPL+2GLlypWsT58+ZvsvKSkxPf7666+zoKAg9vnnn7Nz586xadOmsejoaKZSqexy/JKSErNjZ2RkMADs8OHDjDHHnP/evXvZihUr2Oeff84AsN27d5s9bsk5O+p/whrt/cxeuXKF+fv7s+eff55dvHiR/etf/2I+Pj7sP//5j1OU7/DhwwwAu3z5stn77qjXtq3Pw+06+vUj7eeRAY5Rbm5uswFORUUF8/HxYTt27DCtu379OvPy8mL79+9njDF28eJFBoCdOnXKtE1mZiYDwH7++WebyzZ16lQ2evRos3UjRoxgzz//vM37bs7s2bPZ1KlTW3zcktfEnk6fPs0AmF38HHn+t7vnnntYWlqa2bpevXqxZcuWOfzYJSUlDECTQbVae39stXLlSta/f/9mHzMYDEyhULDXX3/dtK6uro7J5XK2adMmh5Tn+eefZ926dWMGg4Ex5vjzv/0LzZJz7uj/iba09zP75z//mfXq1cts3fz589mQIUOconzGAKe9g7TagyUBTke/fqT9PLKJqi1ZWVnQarVITU01rYuJiUFiYiJOnjwJAMjMzIRcLjebWG/IkCGQy+WmbaxVXFyMPXv2YO7cuU0e2759O8LDw9GnTx8sXboUlZWVNh2rsSNHjiAyMhI9evTAvHnzUFJSYnrMktfEnpRKJQRBQEhIiNl6R56/kUajQVZWltm5AkBqaqpDzvV2SqUSAJpM6tfa+2MPOTk5iImJQUJCAqZPn44rV64AAHJzc1FUVGT2eshkMowYMcIhr4dGo8HHH3+MJ5980mxyQEeff2OWnHNH/0+0xprPbGZmZpPtx44dix9//BFarVb08hkNGDAA0dHRGDNmDA4fPmzXctmiI18/Yh2nmovKWRQVFUEqlZrN7AsAUVFRptlSi4qKEBkZ2eS5kZGRTWZUba8PPvgAQUFBePjhh83Wz5w5EwkJCVAoFDh//jyWL1+On376CRkZGTYdDwDGjx+PRx99FPHx8cjNzcXLL7+M0aNHIysrCzKZzKLXxF7q6uqwbNkyzJgxw2zSPUeef2OlpaXQ6/VNZs11xLnejjGGxYsX495770ViYqJpfVvvj60GDx6MDz/8ED169EBxcTFee+01DB06FBcuXDCdc3Ovx9WrV20+9u2++OILVFRUYM6cOaZ1jj7/21lyzh35P9EWaz6zRUVFzW6v0+lQWlqK6OhoUcsXHR2N999/H0lJSVCr1fjoo48wZswYHDlyBPfdd5/dymatjnz9iHXcPsDZvn075s+fb7q/b98+DB8+3Kp9sdumm7996vnmtrGmTFu3bsXMmTObzCA7b9480+3ExER0794dycnJOHPmDAYOHGjxeTR3/GnTppntOzk5GfHx8dizZ0+TQKsxS87XkuMbz1+r1WL69OkwGAzYsGGD2fPsdf6Wuv28rDnX9lq4cCH+97//4cSJE2brrX1/LDV+/HjT7b59+yIlJQXdunXDBx98YErm7ajXY8uWLRg/fjxiYmJM6xx9/i2x5pw74nPSkvaWt7ntm1tvL+0pX8+ePc0mEk1JSUFBQQHefvttpwhwgI5//Uj7uH2AM2XKFLNmpM6dO7f5HIVCAY1Gg/LycrNfZyUlJRg6dKhpm+Li4ibPvXnzZpOovj1lOn78OC5fvoydO3e2Wc6BAwfCx8cHOTk57fqCt+Q1iY6ORnx8PHJycgBY9prYenytVovHHnsMubm5OHTokFntTXOsPf+2hIeHQyKRNPllWVJS0uZ7a4tnn30WX375JY4dO4YuXbq0uu3t74+9BQQEoG/fvsjJycGDDz4IgP9ibfyr1BGvx9WrV3Hw4EHs2rWr1e0cff7GHmStnbM9/ydsZc1nVqFQNLu9t7c3wsLCRC9fc4YMGYKPP/7YrmWzVke+fsQ6bp+DExQUhDvvvNO0+Pn5tfmcpKQk+Pj4mDV9FBYW4vz586YLV0pKCpRKJU6fPm3a5vvvv4dSqWzz4tZambZs2YKkpCT079+/zXJeuHABWq223VWhlrwmZWVlKCgoMO3bktfEluMbg5ucnBwcPHjQoguEteffFqlUiqSkpCZNXxkZGQ754mKMYeHChdi1axcOHTqEhISENp9z+/tjb2q1GpcuXUJ0dLSpWbDx66HRaHD06FG7vx7p6emIjIzExIkTW93O0edvyTnb83/CVtZ8ZlNSUppsf+DAASQnJ8PHx0f08jUnOzvbaZp+OvL1I1YSJbVZZGVlZSw7O5vt2bOHAWA7duxg2dnZrLCw0LRNWloa69KlCzt48CA7c+YMGz16dLPdxPv168cyMzNZZmYm69u3r9XdxBljTKlUMn9//2anmP/111/Z6tWr2Q8//MByc3PZnj17WK9evdiAAQNs7jZZWVnJlixZwk6ePMlyc3PZ4cOHWUpKCuvcuXOTLrFtvSbW0Gq1bMqUKaxLly7s7NmzZl1C1Wq1w8+/OcYurVu2bGEXL15kixYtYgEBASwvL8/ux/rjH//I5HI5O3LkiNm519TUMMYsf39ssWTJEnbkyBF25coVdurUKTZp0iQWFBRkOt/XX3+dyeVytmvXLnbu3Dn2+9//3q7dxBljTK/Xs7i4OPbiiy+arXfU+VdWVrLs7GyWnZ3NALB169ax7OxsU889S87ZUf8T1mjrM7ts2TI2a9Ys0/bGbs4vvPACu3jxItuyZUuHdBO3tHx///vf2e7du9kvv/zCzp8/z5YtW8YAsM8//9wh5Wvr8yD260fazyMDnPT0dAagybJy5UrTNrW1tWzhwoUsNDSU+fn5sUmTJrH8/Hyz/ZSVlbGZM2eyoKAgFhQUxGbOnGlTl8bNmzczPz+/Zsd2yc/PZ/fddx8LDQ1lUqmUdevWjT333HN2GQulpqaGpaamsoiICObj48Pi4uLY7Nmzm5yvJa+JNYzd9ZtbjOOgOPL8W/Lee++x+Ph4JpVK2cCBA826bdtTS+eenp7OGLP8/bGFcYwXHx8fFhMTwx5++GF24cIF0+MGg4GtXLmSKRQKJpPJ2H333cfOnTtnt+Mzxtg333xjGvekMUedv7Eb8u3L7NmzGWOWnbOj/ies1dpndvbs2WzEiBFm2x85coQNGDCASaVS1rVr12Z/XIlVvjfeeIN169aN+fr6sk6dOrF7772X7dmzx2Fla+vz4AyvH2kfgbH6rChCCCGEEDfh9jk4hBBCCPE8FOAQQgghxO1QgEMIIYQQt0MBDiGEEELcDgU4hBBCCHE7FOAQQgghxO1QgEMIIYQQt0MBDiH18vLyIAgCBEHA3XffbfP+jPsKCQmxeV+EuJrmPv/btm0zrV+0aJHZ9ocOHUKvXr1gMBg6tqCNLF26FM8995xoxyf2RQEOIbc5ePAgvv32W5v3U1hYiPXr19teIEIcaM6cOaago/Eybty4JtsmJCRg//79OHLkCARBQEVFRav7Tk9Pxy+//GK6P23aNBQWFiIlJaXJtn/+85+xYsUKeHk57mvp6NGjSEpKgq+vL+644w5s2rSpSRnS09ORm5vrsDKQjkMBDiG3CQsLs8tswAqFAnK53A4lIsSxxo0bh8LCQrPl008/Ndvmf//7H8rKyjBq1CiL9xsSEoLIyEjTfT8/PygUCkilUrPtTp48iZycHDz66KO2nUgrcnNzMWHCBAwfPhzZ2dn4y1/+gueeew6ff/65aZvIyEikpqY2CXyIa6IAh7ilmzdvQqFQYM2aNaZ133//PaRSKQ4cONCufc2ZMwcPPvgg1qxZg6ioKISEhGD16tXQ6XT405/+hNDQUHTp0gVbt26192kQ0iFkMhkUCoXZ0qlTJ7Nt/vvf/2Ls2LGQyWR2P/6OHTuQmpoKX19fAABjDPfffz/GjRsH42xCFRUViIuLw4oVK6w6xqZNmxAXF4f169ejd+/eeOqpp/Dkk0/i7bffNttuypQpTYI74poowCFuKSIiAlu3bsWqVavw448/oqqqCo8//jgWLFiA1NTUdu/v0KFDuHHjBo4dO4Z169Zh1apVmDRpEjp16oTvv/8eaWlpSEtLQ0FBgQPOhhDxffnll5g6dapD9n3s2DEkJyeb7guCgA8++ACnT5/GO++8AwBIS0tDVFQUVq1aZdouMDCw1WX8+PGmbTMzM5v8748dOxY//vgjtFqtad0999yDgoICXL161SHnSjqOt9gFIMRRJkyYgHnz5mHmzJkYNGgQfH198frrr1u1r9DQULzzzjvw8vJCz5498eabb6KmpgZ/+ctfAADLly/H66+/ju+++w7Tp0+352kQ4nBff/01AgMDzda9+OKLePnllwEA169fx08//YQJEyY45Ph5eXmIiYkxW9e5c2ds3rwZs2bNQnFxMb766itkZ2fDx8fHtM3Zs2db3a+fn5/pdlFREaKioswej4qKgk6nQ2lpKaKjo03HNZYpPj7eltMiIqMAh7i1t99+G4mJifi///s//Pjjj6Yq8Pbq06ePWfJjVFQUEhMTTfclEgnCwsJQUlJic5kJ6WijRo3Cxo0bzdaFhoaabn/55ZcYNmyY2Tp7qq2tbfZ/89FHH8Xu3buxdu1abNy4ET169DB7/M4772zXcQRBMLtvbP5qvN4YFNXU1LRr38T5UIBD3NqVK1dw48YNGAwGXL16Ff369bNqP41/NQL8gtjcOjG7uBJirYCAgFaDBUc2TwFAeHg4ysvLm6yvqalBVlYWJBIJcnJymjx+e63T7YYPH459+/YB4En/RUVFZo+XlJTA29vbrFPBrVu3APBmbuLaKMAhbkuj0WDmzJmYNm0aevXqhblz5+LcuXNNqqkJIS2rqqrC4cOH8d577znsGAMGDMDFixebrF+yZAm8vLywb98+TJgwARMnTsTo0aNNj7eniSolJQVfffWV2eMHDhxAcnKy2Y+V8+fPw8fHB3369LHybIizoACHuK0VK1ZAqVTinXfeQWBgIPbt24e5c+fi66+/FrtohDgVtVrdpHbD29sb4eHh2L9/P7p374477rjDYccfO3YsPvjgA7N1e/bswdatW5GZmYmBAwdi2bJlmD17Nv73v/+Zeni1p4kqLS0N7777LhYvXox58+YhMzMTW7ZsadJj6vjx4xg+fLhZcERcE/WiIm7pyJEjWL9+PT766CMEBwfDy8sLH330EU6cONEk14AQT7d//35ER0ebLffeey8A3j389uYpY1Ost7d9fiM//vjjuHjxIi5fvgyAD/Mwd+5crFq1CgMHDgQArFy5EjExMUhLS7PqGAkJCdi7dy+OHDmCu+++G//v//0/vPPOO3jkkUfMtvv0008xb948206IOAWqwSFuaeTIkWZdPwEgLi6uzZFXm7Nt27Ym644cOdJkXV5eXrv3TYjYtm3b1uxnHAD0ej327t1rymMxKikpQUBAQJs5MJbq1KkTFi5ciHXr1mHz5s2IiIhotkbp+++/t+k4I0aMwJkzZ1p8fM+ePZBIJPjd735n03GIc6AaHEJuM3ToUAwdOtTm/QQGBlr9a5MQZ1BWVoYXXngBgwYNAsCbsi5evIh3330X999/f5vP//3vf48uXbqY7m/fvh2BgYE4fvx4k21XrFiB+Ph46PV6+51AO1VXVyM9Pd1uNVNEXAIz9pMjxMPpdDpTLYxMJkNsbKxN+/v1118B8C7kCQkJthaPENF98cUXmDVrFoYOHYp//etfiIuLa3Hb5j7/lZWVKC4uBsCncQgPD3d8oYnHogCHEEIIIW6HmqgIIYQQ4nYowCGEEEKI26EAhxBCCCFuhwIcQgghhLgdCnAIIYQQ4nYowCGEEEKI26EAhxBCCCFuhwIcQgghhLgdCnAIIYQQ4nb+P5/a+9fHq8w8AAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 640x480 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.0 0.0\n"
     ]
    }
   ],
   "source": [
    "#直達光データのグラフの出力\n",
    "E = E_StoFL\n",
    "\n",
    "fig, ax = plt.subplots()\n",
    "plt.imshow(E.T,vmin=0.0, vmax=1.0, cmap='cividis')\n",
    "plt.colorbar (label=\"E/J []\")\n",
    "\n",
    "plt.xlabel('x [m]')\n",
    "plt.ylabel('y [m]')\n",
    "plt.xticks([0,50,100,150,200,250,300,350,400],[\"-100\",\"-75\",\"-50\",\"-25\",\"0\",\"25\",\"50\",\"75\",\"100\"])\n",
    "plt.yticks([0,50,100,150,200,250,300,350,400],[\"-100\",\"-75\",\"-50\",\"-25\",\"0\",\"25\",\"50\",\"75\",\"100\"])\n",
    "\n",
    "theta2 = np.linspace(0, 2*np.pi, 100)\n",
    "a = 2*r * np.cos(theta2) + 200\n",
    "b = 2*r * np.sin(theta2) + 200\n",
    "plt.plot(a,b, color='black', linestyle=\"dashed\") #円の描写しない場合はここをコメントアウト\n",
    "\n",
    "theta3 = np.linspace(0, 2*np.pi, 100)\n",
    "c = 4*r * np.cos(theta2) + 200\n",
    "d = 4*r * np.sin(theta2) + 200\n",
    "plt.plot(c,d, color='black', linestyle=\"dashed\") #円の描写しない場合はここをコメントアウト\n",
    "\n",
    "x = np.linspace(0, 401, 401)\n",
    "\n",
    "# create new axes on the right and on the top of the current axes.\n",
    "divider = make_axes_locatable(ax)\n",
    "axtop = divider.append_axes(\"top\", size=0.8, pad=0.3, sharex=ax)\n",
    "plt.title(\"\\\"the floor\\\" θ = {}\".format(theta))\n",
    "# plt.title(\"max = {}\".format(np.max(E)))\n",
    "plt.ylabel('E/J [](y=0)')\n",
    "axright = divider.append_axes(\"right\", size=0.8, pad=0.5, sharey=ax)\n",
    "\n",
    "\n",
    "axtop.plot(x, E[:,200]) #marker=\"o\", ms=1, mfc=\"k\", mec=\"k\")\n",
    "axtop.axis([0,400, 0, 1])\n",
    "\n",
    "plt.xlabel('E/J [](x=0)')\n",
    "\n",
    "\n",
    "axright.plot(E[200], x) #marker=\"o\", ms=1, mfc=\"k\", mec=\"k\")\n",
    "axright.axis([0, 1, 0, 400])\n",
    "plt.xticks([0,0.5,1],[\"0.0\",\"0.5\",\"1.0\"])\n",
    "\n",
    "# plt.tight_layout()\n",
    "\n",
    "plt.show()\n",
    "\n",
    "print(np.max(E),np.min(E))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.027364464410824997 0.0\n"
     ]
    }
   ],
   "source": [
    "#反射結合データのグラフの出力\n",
    "E = E_FL_R \n",
    "\n",
    "fig, ax = plt.subplots()\n",
    "plt.imshow(E.T,vmin=0.0, vmax=0.2, cmap='viridis')\n",
    "plt.colorbar (label=\"E/J []\")\n",
    "\n",
    "plt.xlabel('x [m]')\n",
    "plt.ylabel('y [m]')\n",
    "plt.xticks([0,50,100,150,200,250,300,350,400],[\"-100\",\"-75\",\"-50\",\"-25\",\"0\",\"25\",\"50\",\"75\",\"100\"])\n",
    "plt.yticks([0,50,100,150,200,250,300,350,400],[\"-100\",\"-75\",\"-50\",\"-25\",\"0\",\"25\",\"50\",\"75\",\"100\"])\n",
    "\n",
    "theta2 = np.linspace(0, 2*np.pi, 100)\n",
    "a = 2*r * np.cos(theta2) + 200\n",
    "b = 2*r * np.sin(theta2) + 200\n",
    "plt.plot(a,b, color='black', linestyle=\"dashed\") #円の描写しない場合はここをコメントアウト\n",
    "\n",
    "theta3 = np.linspace(0, 2*np.pi, 100)\n",
    "c = 4*r * np.cos(theta2) + 200\n",
    "d = 4*r * np.sin(theta2) + 200\n",
    "plt.plot(c,d, color='black', linestyle=\"dashed\") #円の描写しない場合はここをコメントアウト\n",
    "\n",
    "x = np.linspace(0, 401, 401)\n",
    "\n",
    "# create new axes on the right and on the top of the current axes.\n",
    "divider = make_axes_locatable(ax)\n",
    "axtop = divider.append_axes(\"top\", size=0.8, pad=0.3, sharex=ax)\n",
    "plt.title(\"\\\"the floor\\\" θ = {}, R = {}\".format(theta,R_f))\n",
    "plt.yticks([0,0.1,0.2,0.30],[\"0.0\",\"0.1\",\"0.2\",\"0.3\"])\n",
    "# plt.title(\"max = {}\".format(np.max(E)))\n",
    "plt.ylabel('E/J [](y=0)')\n",
    "axright = divider.append_axes(\"right\", size=0.8, pad=0.5, sharey=ax)\n",
    "\n",
    "\n",
    "axtop.plot(x, E[:,200]) #marker=\"o\", ms=1, mfc=\"k\", mec=\"k\")\n",
    "axtop.axis([0,400, 0, 0.35])\n",
    "\n",
    "\n",
    "plt.xlabel('E/J [](x=0)')\n",
    "\n",
    "\n",
    "axright.plot(E[200], x) #marker=\"o\", ms=1, mfc=\"k\", mec=\"k\")\n",
    "axright.axis([0, 0.35, 0, 400])\n",
    "plt.xticks([0,0.15,0.30],[\"0.0\",\"0.15\",\"0.3\"])\n",
    "\n",
    "# plt.tight_layout()\n",
    "\n",
    "plt.show()\n",
    "\n",
    "print(np.max(E),np.min(E))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAkoAAAHFCAYAAAANLdYJAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjcuMSwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/bCgiHAAAACXBIWXMAAA9hAAAPYQGoP6dpAADa2UlEQVR4nOydeXwV9bn/33PW7IFsJIEk7Psii7KJ4gKKG7ZWobaIv6otdWmRetty3dBrpdZWUSsuvYgryLV1a0UBq6JWFNlUFhEVCEtCSCB7ctb5/ZGcQ07ONjNnzpZ837zmxTkz320m58x8zvM83+crybIsIxAIBAKBQCDwwxDvAQgEAoFAIBAkKkIoCQQCgUAgEARBCCWBQCAQCASCIAihJBAIBAKBQBAEIZQEAoFAIBAIgiCEkkAgEAgEAkEQhFASCAQCgUAgCIIQSgKBQCAQCARBEEJJIBAIBAKBIAhCKOnMs88+iyRJAHzwwQdIksSBAwe8x1etWsWyZcv86h04cABJkvjzn/8c9TEeOHCAiy++mJycHCRJYuHChd7+n3322aj3H4iO18ozlg8++CBsvbq6On75y1+Sn59Peno65513Htu3b4/+gDvx8ccfc/311zN+/HisVqvf370jkiQF3P74xz8q6svhcHDPPffQt29frFYrQ4cO5bHHHoto/J3HkpWVxZQpU1i9enVE7Wrl+eefZ+7cuQwZMgSDwUDfvn1Vt/HYY48xdOhQrFYr/fr145577sHhcOg/WIFA0KUxxXsA3Y1Vq1axc+dOFi5cGLcx3HrrrXz22Wc888wzFBYWUlRURDKuZON2u7nkkkuorKzkr3/9Kzk5OTz22GNMnz6dzZs3M2TIkJiN5d///jfvvvsuY8eOJSsrK6zI+9GPfsRvfvMbn32lpaWK+rrxxht54YUX+J//+R9OP/101q1bx69//WsaGhr47//+b62n4B2TLMvs37+f+++/n6uvvhpZlrn66qs1t6uFF154gcrKSs444wzcbrdqgfOHP/yBO++8k9///vfMnDmTzz//nDvuuIMjR47w9NNPR2nUAoGgSyILdGXlypWy57K+//77MiDv37/fe/ziiy+Wy8rK/Ort379fBuQHH3ww6mMcOHCgPGvWrID9r1y5Mur9d8Rut8sOh8PnWnnG8v7774es+/zzz8uAvHPnTu8+h8Mhjxw5Up49e3Z0B94Jl8vlff3ggw/6/d07Asg33XSTpn527twpS5Ik33///T77b7jhBjk1NVWuqanR1G6gMR04cEAG5LPOOktTm5HQ8XoG+84Eo7q6Wk5JSZF//vOf++z/wx/+IEuSJO/atUuvYQoEgm6AcL3FkOnTp/PWW29x8OBBHzdHZx566CH69etHRkYGkydP5tNPP/Urs2XLFi677DJycnJISUlh7Nix/N///V/I/j3urW+//Za3337b238wFxG0uZTOO+88MjMzSUtLY8qUKbz11lt+5Xbu3Mns2bPp2bMnKSkpnHbaaTz33HMB+3/hhRf4zW9+Q+/evbFarXz77bchxx2MNWvWMH78eEaMGOHdZzKZmDt3LmvXrqWhoUFTu1owGGLzVXr99deRZZn/9//+n8/+//f//h8tLS288847uvVVVlZGfn4+x44d061NpURyPd955x1aW1sDXiNZlnn99dcjHJ1AIOhOCKGkM9dee63XjTV9+nRkWfbGVyxfvpypU6dSWFjIpk2bvFtHHn/8cTZs2MCyZct46aWXaGpq4qKLLqKurs5b5v3332fq1KnU1tby5JNP8sYbb3DaaacxZ86ckDFG48aNY9OmTRQWFjJ16lRv/0VFRQHLb9y4kXPPPZe6ujpWrFjB6tWryczM5NJLL2XNmjXecnv37mXKlCns2rWLRx99lFdffZXhw4dz7bXX8qc//cmv3cWLF1NeXs6TTz7JP//5TwoKCnyuVd++fZFlmenTp4e81tu3b2fEiBE4nU6fbfTo0TgcDnbt2hWyvsvl8qsbaHO73SHb0cKqVatITU3FarUyfvx4Vq5cqajezp07yc/Pp7Cw0Gf/6NGjvcf1oq6ujhMnTjB48GBF5ZVcS6fTGXU3r+cajBo1ymd/UVEReXl5ul4jgUDQDYijNatbEs71NmrUKNnpdHr3b968WQbk1atXe/cNHTpUHjt2rOxwOHzauOSSS+SioiIft0UgysrK5Isvvjhg/x1db5MmTZILCgrkhoYG7z6n0ymPHDlS7tOnj+x2u2VZluW5c+fKVqtVLi8v92lz1qxZclpamlxbWyvL8ilXpF6uHLPZLANBtzfffDNk/bPPPjtkfc82f/58VeMK53q7+uqr5Zdeekn+8MMP5b///e/yrFmzZEC+4447wrY9Y8YMeciQIQGPWSwWP3eTUgD5xhtvlB0Oh2y32+VvvvlGvuyyy+TMzEx5y5YtittQsql176p1vd1www2y1WoNeGzw4MHyzJkzVfUvEAi6NyKYO8G4+OKLMRqN3vceS8HBgwcB+Pbbb/n666+9s+OcTqe37EUXXcS//vUv9u7dy7BhwyIaR1NTE5999hm//OUvycjI8O43Go3MmzeP3/3ud+zdu5ehQ4fy3nvvcd5551FSUuLTxrXXXsvbb7/Npk2buPDCC737r7jiiojG1pErrriC3//+9z77Nm/ezE033RTQrdmRp556SpF7Li8vL6Ixduall17yeX/FFVdw6aWX8sc//pFf/epX5Ofnh6wf6rzCnXMoli9fzvLly73vzWYzr732GuPHj1dU//PPP1dUrl+/fprGp4ZoXSOBQND9EEIpwcjNzfV5b7VaAWhpaQHwxovcdttt3HbbbQHbqK6ujngcJ0+eRJblgG654uJiAGpqarz/KynnIZirTy35+fmkpqYyYcIEn/0eURlO4AwcOFCRGygW8Uc//elP+de//sWWLVuYNWtW0HK5ubns2LHDb39TUxN2u52cnBzNY7jqqqv4r//6LxwOB1999RWLFy9m7ty5bNu2jUGDBoWtf9pppynqp+MPgWiQm5tLa2srzc3NpKWl+Rw7ceKEYuEnEAgEIGKUkg7Pw3/x4sV8/vnnATelD6xQ9OzZE4PBQEVFhd+xo0eP+owlNzdXUTkPev2iHzduHHv37vXbv2vXLsxmMyNHjgxZ/7zzzsNsNofdfvazn+ky3lB4BFs4UTZq1CiOHz9OZWWlz/6vvvoKIOw5hyI/P58JEyYwefJkfv7zn/P666/T1NTErbfeqqi+kmtpNpv9gvz1xhOb5LkmHiorK6muro7oGgkEgu6HsCjFGKvV6rUOaWHIkCEMGjSIL774gvvvv1/HkfmSnp7OxIkTefXVV/nzn/9Mamoq0Ja76MUXX6RPnz7eIN/zzjuP1157jaNHj3qtSNCWNDAtLY1JkyZFZYxz5sxh/vz57Ny50/vws9lsvPjii1x88cU+LsNAxMv1FogXXngBs9kc1toxe/Zs7rjjDp577jl+97vfefc/++yzpKam+rg4I2XatGlcc801PPfcc2zatInJkyeHLJ8orrcLL7yQlJQUnn32WSZOnOjd70kGe/nll0e1f4FA0LUQQinGjBo1ildffZUnnniC8ePHYzAY/FxH4XjqqaeYNWsWF1xwAddeey29e/fmxIkT7Nmzh23btvHKK6/oMtalS5cyY8YMzjnnHG677TYsFgvLly9n586drF692msZuvvuu/nXv/7FOeecw1133UVOTg4vvfQSb731Fn/605/Izs7WZTydufrqq3nqqae45JJLWLp0KXl5eTz00EMcO3aMf/7zn2Hr65mQ8vjx42zcuBE4Zcl4++23yc/PJz8/n7PPPhuABx98kN27d3PeeefRp08fqqqqWLFiBevXr2fJkiU+ouz555/nZz/7Gc888wzXXHMNACNGjOC6667j7rvvxmg0cvrpp7N+/Xqefvpp7rvvPh/X2wcffMA555zD3XffzZIlSzSd1//8z/+wZs0a7rzzTt59992QZdV+jkOxe/dudu/eDbRZgpqbm/n73/8OwPDhwxk+fDjQNjPzvPPO46677uKuu+4CICcnhzvuuIM777yTnJwcb8LJJUuWcP3113vrCgQCgSLiHEze7Thx4oT8ox/9SO7Ro4csSZI3OWWohJOAfPfdd/vs++KLL+SrrrpKLigokM1ms1xYWCife+658pNPPhl2DEpnvcmyLH/00UfyueeeK6enp8upqanypEmT5H/+859+bX711VfypZdeKmdnZ8sWi0UeM2aMX1ueWW+vvPJK2DEqpba2Vv7FL34h5+bmyqmpqfI555wjb9u2Tbf2leI5t0Db2Wef7S335ptvymeeeaacn58vm0wmOTMzU542bZrPrEYPnuSlna+j3W6X7777brm0tFS2WCzy4MGD5UcffdSv/j//+U8ZUPSZIEQSzP/6r/+SAXnjxo1h29GLu+++O+j17Phd8Fz3zt8PWZblRx55RB48eLBssVjk0tJS+e6775btdnvMzkEgEHQNJFlOwrUrBAJBWH7729+yevVq9u3bR0pKSryHIxAIBEmJCOYWCLoo77//PnfeeacQSQKBQBABwqIkEAgEAoFAEARhURIIBAKBQCAIghBKAoFAIBAI/Fi+fDn9+vUjJSWF8ePH89FHHwUt++qrrzJjxgzy8/PJyspi8uTJrFu3zq/cP/7xD4YPH47VamX48OG89tprEfUbC4RQEggEAoFA4MOaNWtYuHAht99+O9u3b2fatGnMmjWL8vLygOU//PBDZsyYwdq1a9m6dSvnnHMOl156Kdu3b/eW2bRpE3PmzGHevHl88cUXzJs3j6uuuorPPvtMc7+xQMQoCQQCgUAg8GHixImMGzeOJ554wrtv2LBhXH755SxdulRRGyNGjGDOnDneHGdz5syhvr6et99+21vmwgsvpGfPnqxevVq3fvVGJJwMgtvt5ujRo2RmZopFNAWCbowsyzQ0NFBcXByTdf8Ego60trZit9sjbkeWZb9nmdVq9a4n2hG73c7WrVv9FhyfOXMmn3zyiaL+3G43DQ0NPklwN23a5Lck0gUXXMCyZct06zcaCKEUhKNHj1JSUhLvYQgEggTh0KFD9OnTJ97DEHQjWltb6VeWQWWVK+K2MjIyaGxs9NkXLGt/dXU1LpeLXr16+ezv1auX3zqTwfjLX/5CU1MTV111lXdfZWVlyDb16DcaCKEUhMzMTKDt5piVlRXn0QgEgnhRX19PSUmJ954gEMQKu91OZZWLg1v7kpWp3ZpZ3+CmbPwBv+dZIGtSRzpboAJZpQKxevVqlixZwhtvvEFBQYHqNrX2Gy2EUAqC54+SlZUlhJJAIBAueEHcyMiUyMjU/vlzo+55lpeXh9Fo9LPiVFVV+Vl7OrNmzRquu+46XnnlFc4//3yfY4WFhSHbjKTfaCIc7gKBQCAQJDAu2R3xpgaLxcL48ePZsGGDz/4NGzYwZcqUoPVWr17Ntddey6pVq7j44ov9jk+ePNmvzfXr13vb1NpvtBEWJYFAIBAIEhg3Mm60T1DXUnfRokXMmzePCRMmMHnyZJ5++mnKy8tZsGABAIsXL+bIkSM8//zzQJtIuuaaa3jkkUeYNGmS1yqUmppKdnY2AL/+9a8566yzeOCBB5g9ezZvvPEG7777Lh9//LHifuOBEEoCgUAgEAh8mDNnDjU1Ndx7771UVFQwcuRI1q5dS1lZGQAVFRU+uY2eeuopnE4nN910EzfddJN3//z583n22WcBmDJlCi+//DJ33HEHd955JwMGDGDNmjVMnDhRcb/xIGp5lA4dOsSBAwdobm4mPz+fESNGhA0cSyTq6+vJzs6mrq5OxCgJBN0YcS8QxAvPZ+/o3j4RB3MXDzksPsMa0TVG6eDBgyxevJi+ffvSt29fzj77bGbNmsWECRPIzs5mxowZvPLKK7jd6vyloC6l+ccff8zUqVPJzc0lNTWVoUOH8vDDD0dyagKBQCAQxAWXLEe8CbSjm1D69a9/zahRo9i3bx/33nsvu3btoq6urm16Y2Ula9eu5cwzz+TOO+9k9OjRfP7554rbVpvSPD09nZtvvpkPP/yQPXv2cMcdd3DHHXfw9NNP63W6AoFAIBAIugG6ud7+67/+i9/+9rfk5+eHLbt27Vqam5v50Y9+pKhtPVKa//CHPyQ9PZ0XXnhBUXlhbhcIBCDuBYL44fnsHfy6OPI8SkOPis+wRnQL5n7wwQcVl73ooosUl9Ujpfn27dv55JNPuO+++xT3KxAIBAJBIuBGxhXjWW+CU0Rt1pvL5aK6uhpJksjNzcVoNGpqJ5KU5n369OH48eM4nU6WLFnC9ddfH7SszWbDZrN539fX12sar0AgEAgEgq6D7gknX3vtNaZOnUpaWhrFxcUUFRWRlpbG1KlTef311zW3qyWl+UcffcSWLVt48sknWbZsmXd14kAsXbqU7Oxs7ybWeRMIBAJBIuDJoxTJJtCOrkLpqaeeYu7cuYwePZo1a9bw8ccf89FHH7FmzRpGjx7N3Llz+dvf/qaqzUhSmvfr149Ro0Zxww03cOuttwZc/M/D4sWLqaur826HDh1SNU6BQCAQCKKBmPUWX3R1vT344IMsX76c6667zu/Y5Zdfzumnn84f/vAHbrjhBsVtdkxp/oMf/MC7f8OGDcyePVtxO7Is+7jWOmO1WpMqz5NAIBAIBILoo6tQOnLkCGeeeWbQ41OmTOHo0aOq21WbSv3xxx+ntLSUoUOHAm15lf785z9zyy23aDgrgUAgEAjih7t9i6S+QDu6CqURI0bw9NNP85e//CXg8b/97W+MGDFCdbtqU6m73W4WL17M/v37MZlMDBgwgD/+8Y/84he/0HZiAoFAIBDECVeEs94iqSvQeQmTjRs3cvHFF1NWVsbMmTPp1asXkiRRWVnJhg0bOHjwIGvXrmXatGl6dRk1RO4UgUAA4l4giB+ez96XuwvIjCCPUkODm9HDq8RnWCO6WpTOPvtsdu7cyRNPPMGnn37qDcAuLCzkkksuYcGCBfTt21fPLgUCgUAgEAiihu55lPr27csDDzygd7MCgUAgEHRLRIxSfIlawkmBQCAQCASR40bCRei8geHqC7Sje8JJDxdffDEVFRV+rwUCgUAgEAiShahZlD788ENaWlr8XgsEAoFAIFCOW27bIqkv0I5wvQkEAoFAkMC4InS9RVJXEEXXm0AgEAgEAkGyIyxKAoFAIBAkMMKiFF+EUBIIBAKBIIFxyxJuOYJZbxHUFQjXm0AgEAgEAkFQomZRkiQp4GuBQCAQCATKEa63+BI1odRxCTkdl5MTCAQCgaBb4cKAKwIHkEvHsXRHouZ6a2hooH///n6vtbJ8+XL69etHSkoK48eP56OPPgpa9tVXX2XGjBnk5+eTlZXF5MmTWbduXUT9CwQCgUAQD+T2GCWtmyxilCIiKWKU1qxZw8KFC7n99tvZvn0706ZNY9asWZSXlwcs/+GHHzJjxgzWrl3L1q1bOeecc7j00kvZvn17jEcuEAgEAoEgmZHkKPjF+vbty89+9jOuvfZaSktLI25v4sSJjBs3jieeeMK7b9iwYVx++eUsXbpUURsjRoxgzpw53HXXXYrK19fXk52dTV1dHVlZWZrGLRAIkh9xLxDEC89nb/1XZaRnardrNDW4mTnqoPgMayQqFqXf/OY3vPHGG/Tv358ZM2bw8ssvY7PZNLVlt9vZunUrM2fO9Nk/c+ZMPvnkE0VtuN1uGhoayMnJCVrGZrNRX1/vswkEAoFAEG9csiHiTaCdqFy9W265ha1bt7J161aGDx/Or371K4qKirj55pvZtm2bqraqq6txuVz06tXLZ3+vXr2orKxU1MZf/vIXmpqauOqqq4KWWbp0KdnZ2d6tpKRE1TgFAoFAIBB0PaIqM8eMGcMjjzzCkSNHuPvuu/nf//1fTj/9dMaMGcMzzzyjajZc5xQDsiwrSjuwevVqlixZwpo1aygoKAhabvHixdTV1Xm3Q4cOKR6bQCAQCATRwo2EG0MEmwjmjoSoZuZ2OBy89tprrFy5kg0bNjBp0iSuu+46jh49yu233867777LqlWrQraRl5eH0Wj0sx5VVVX5WZk6s2bNGq677jpeeeUVzj///JBlrVYrVqtV2YkJBAKBQBAjRB6l+BIVobRt2zZWrlzJ6tWrMRqNzJs3j4cffpihQ4d6y8ycOZOzzjorbFsWi4Xx48ezYcMGfvCDH3j3b9iwgdmzZwett3r1an72s5+xevVqLr744shOSCAQCAQCQbckKkLp9NNPZ8aMGTzxxBNcfvnlmM1mvzLDhw9n7ty5itpbtGgR8+bNY8KECUyePJmnn36a8vJyFixYALS5zY4cOcLzzz8PtImka665hkceeYRJkyZ5rVGpqalkZ2frdJYCgUAgEESfSAOyXSLpc0RERSh9//33lJWVhSyTnp7OypUrFbU3Z84campquPfee6moqGDkyJGsXbvW20dFRYVPTqWnnnoKp9PJTTfdxE033eTdP3/+fJ599ln1JyQQCAQCQZxoi1GKYFFc4XqLiKjkUVKC0mDseCFypwgEAhD3AkH88Hz2/vHFYNIzjZrbaWpwccWYb8RnWCO6zXobNmwYq1atwm63hyy3b98+fvnLX/LAAw/o1bVAIBAIBF0Wd/tab1o3d3IswpGw6Hb1Hn/8cR5++GF69erFnDlzePDBB3nppZf4xz/+wf/+7/+yaNEizjjjDMaOHUt2djY33nijXl0LBAKBQNBliVfCSTVrrFZUVHD11VczZMgQDAYDCxcu9Cszffp0JEny2zpOuFqyZInf8cLCQk3j1wvdYpTOPfdcPv/8cz755BPWrFnDqlWrOHDgAC0tLeTl5TF27FiuueYafvrTn9KjRw+9uhUIBAKBoEvjjtAq5EZ9hI1njdXly5czdepUnnrqKWbNmsXu3bsDLk1ms9nIz8/n9ttv5+GHHw7Y5quvvurjdaqpqWHMmDFceeWVPuVGjBjBu+++631vNGp3O+qB7sHcU6ZMYcqUKXo3KxAIBAKBIEY89NBDXHfddVx//fUALFu2jHXr1vHEE08EXGO1b9++PPLIIwA888wzAdvsvIzYyy+/TFpamp9QMplMcbcidUQ4LgUCgUAgSGBcshTxBvitZxpsDVY91lhVwooVK5g7dy7p6ek++/ft20dxcTH9+vVj7ty5fP/997r1qQXdLEqLFi1SXeeOO+4IuVCtQCAQCATdHU9Qtvb6ba63zmuY3n333SxZssSvvB5rrIZj8+bN7Ny5kxUrVvjsnzhxIs8//zyDBw/m2LFj3HfffUyZMoVdu3aRm5urS99q0U0oLVu2jMmTJ2OxWBSV//jjj7n55puFUBIIBAKBIAYcOnTIJz1AuGW7tK6xqoQVK1YwcuRIzjjjDJ/9s2bN8r4eNWoUkydPZsCAATz33HOaDDJ6oGuM0muvvRZy4dmOZGZm6tm1QCAQCARdErdswB1BZm53e7rErKwsRXmUIlljVQnNzc28/PLL3HvvvWHLpqenM2rUKPbt2xdxv1rRLUZp5cqVqpYHeeqpp3S54AKBQCAQdGUiyaGkxW3XcY3VjmzYsEGXyVr/93//h81m46c//WnYsjabjT179lBUVBRxv1rRzaI0f/58VeWvvvpqvboWCAQCgUCgI2rXWAXYsWMHAI2NjRw/fpwdO3ZgsVgYPny4T9srVqzg8ssvDxhzdNttt3HppZdSWlpKVVUV9913H/X19ao1hp5EZa03gUAgEAgE+uAG78w1rfXVonaNVYCxY8d6X2/dupVVq1ZRVlbGgQMHvPu/+eYbPv74Y9avXx+w38OHD/PjH/+Y6upq8vPzmTRpEp9++mnY9WOjiW5rveXk5PDNN9+Ql5enqHxpaSkfffRRXE8+FGJ9J4FAAOJeIIgfns/eE9tOJzVDu12jpdHJL8d9Lj7DGtHNolRbW8vbb7+tOE6ppqYGl8uluP3ly5fz4IMPUlFRwYgRI1i2bBnTpk0LWLaiooLf/OY3bN26lX379vGrX/2KZcuWKe5LIBAIBAKBAHR2vUXLhxiNVOoCgUAgECQDkazX5qkv0I5uV8/tdqve+vfvr6jtjqnUhw0bxrJlyygpKeGJJ54IWN6TSv2aa65RNRNPIBAIBIJEw40U8SbQTsIHc3tSqf/+97/32a93KnWbzeaTzr2+vl63tgUCgUAg0IqwKMWXhL96sUilDrB06VKys7O9W+dU7wKBQCAQCLofCS+UPEQzlTq05YSoq6vzbocOHdKtbYFAIBAItBLrhJMCXxLe9RbtVOoerFZr2HVvBAKBQCCINW5Zwh1JHqUI6gqSwKIU7VTqAoFAIBAIBMHQ1aKkJADaZDKRlpamqt1oplIXCAQCgSCRcUfoPnMnvk0kodFVKPXo0UNR3FB6ejozZszgkUceoU+fPmHLRyuVukAgEAgEiY5bNuCOYOZaJHUFOi5hArBx48awZdxuN8eOHePxxx8nMzOTtWvX6tW9rohlCwQCAYh7gSB+eD57928+h5QIljBpbXTy32e8Lz7DGtHVomSz2TjnnHMwm81hy44ePZpJkybp2b1AIBAIBF0OFxKuCJJGRlJXoHMw94IFC8jPz2fOnDmsWrWK2traoGUHDhzICy+8oGf3AoFAIBB0OTyut0g2gXZ0vXrff/89H374IaNGjWLZsmUUFhZy3nnn8eijj/rFBlksFmbPnq1n9wKBQCAQCAS6orvMHD16NHfccQebN2/m+++/58orr+Sdd95h2LBhjBkzhrvuuostW7bo3a1AIBAIBF0SF6fcb9o2QSRE1R5XXFzMggULWLt2LdXV1dx1110cOHCACy+8kPvvvz+aXQsEAoFA0CUQrrf4ErPM3Onp6VxxxRVcccUVuN1uampqYtW1QCAQCARJi1gUN77oevUuuugi6urqvO//8Ic/+AR019TUMHz4cAwGA/n5+Xp2LRAIBAKBQKA7ugqldevWYbPZvO8feOABTpw44X3vdDrZu3evnl0KBAKBQNClkZFwR7DJIj1AROjqeuucu1LHXJYCgW44XW5szrbN6XbjdoNblnHLMrIMLrfc/r7tM+yWwSCBwSBhkCSMkoTBAEZD22tJkryvDQYwGw1YTQZFWeoFAoEgHML1Fl9iFqMkEERCq8PFiSa7d2toddLQ6mj733bqdWOrkwabg8ZWJy0OV5sgcrixOV1eceRyx0bAW4wGLKb2rf211RRonxGryYDVbCDVbGzbLEZSOrxO6/Q+1dz+vv1123shzgQCgUBvdBVKUvuv6877BIJAOF1uqhvtVNS1cKy+lYq6Vo7V26hptHGiyU5NB2HUaHNGZQwGCQxSm6XIYDj1WpLaLEYGSUKizeLkcrdbnNpfu73/B27b7nJjd7nBFvh4NPAVUgZfURVKZHV4nWox+JXvWMZsFL9OBYJY4pYl3LL2Z2kkdQVRcL1de+21WK1WAFpbW1mwYAHp6ekAPvFLgq6NLMvUtTg4dKKF8hPNHD7ZTEVdK5V1rVTUt3KsrpWqhtagIiMQJoNETrqFnHQLWalmMq0mMlNMZKaYyUg59TrTaiLDaiLNYsRq7mCxMbW9T2n/32I0YDBEfgPxuOc84snuarNi2V1u7M4Om6vNqmVvt2yd2t/2f6vDRUv71mr3vHbTYnfR6nDRbHfS4mgvZz9V1u50e8fi2RdNTAbJRzgFt3YZgggx3/Kev43H4tZmXTNiMRowG/1/fAkE3Q0XBlwRhBRHUlegs1CaP3++z/uf/vSnfmWuueYaTW0vX76cBx98kIqKCkaMGMGyZcuYNm1a0PIbN25k0aJF7Nq1i+LiYn7729+yYMECTX0LAtPqcHH4ZDOHTrRw6GQz5TXNHPK8P9FMgwIrkNEg0SvTSq/sFIqyUyjITCE/0+oVRLme/zOsZKWYEvKhKUkSxnYLFECK2Qgpsevf5ZZPiSx7p//bX7cGfO1uE2Wdynd873nd7HDhCTl0uuU2d2eUrHwdkSTa3JXGNvFk9bovjX6iqk0UG06J4g6uTmsHcWw2GjB7XZ9S23vjKXeouV2ged63NNmjfp4CgSBx0VUorVy5Us/mvKxZs4aFCxeyfPlypk6dylNPPcWsWbPYvXs3paWlfuX379/PRRddxA033MCLL77If/7zH2688Uby8/O54oorojLGrojd6eZ4o41DJ5rbrEInmjl0ss1CdOhEM1UN4S2EeRlWSnNSKclJo7hHKoVZKRRmp1CY1SaMcjOsXoEh0IbRIJFuNZFujV7IodxuKWttF1ctAcRUIKEVzDrWsb7N0cnS5nJ36BdaHW5aHW5ojb4wC4Tb1hyXfgUCD8L1Fl+SIpj7oYce4rrrruP6668HYNmyZaxbt44nnniCpUuX+pV/8sknKS0tZdmyZQAMGzaMLVu28Oc//zmphJJn1qDnl7zccZ+3DMi0xcp43DgOl4zD6cbhOuXWcbjktvdON812F002J43tW1OH/2ua7BxvsFHV0BYnFI4Mq4k+PVMpzUmjJCeNkp6plOamUdIzjT4900i1GKNwZQSxRpKkdiuNkWzMUe3L7W53Xzrbg/Db3ZieoHyPoPIc9753uDqUC17W3uH74Wjvx+Hy/Y7YXaf2ucMPWSCIKm4MuCNwn0VSV5AEQslut7N161Z+//vf++yfOXMmn3zyScA6mzZtYubMmT77LrjgAlasWIHD4cBs9r/R22w2nxgqT+LMiUv+idGahozsFSeEFS6nXnuPdajss7+9jc51EgWzUaIoO4XePdPo3SOVPj3btrbXafRIMwdxh8k4WptwtMZ8yIIugkSbBzPFRNudygpgbN9ix8naOvouE+lOBILuSsILperqalwuF7169fLZ36tXLyorKwPWqaysDFje6XRSXV1NUVGRX52lS5dyzz33+O3/+mH/OKvuxvfxHoBAkADU1NSQnZ0d72EIuiEuWcIVgfsskrqCJBBKHjpbLWRZDhnYG6h8oP0eFi9ezKJFi7zva2trKSsro7y8PC43x/r6ekpKSjh06BBZWVkx7z8RxhDv/hNhDN29/0QYQ11dHaWlpeTk5MS8b4EARIxSvEl4oZSXl4fRaPSzHlVVVflZjTwUFhYGLG8ymcjNzQ1Yx2q1etMadCQ7OztuDwiArKysuPafCGOId/+JMIbu3n8ijMFgEHEegvggywbcEWTXlkVm7ohI+KtnsVgYP348GzZs8Nm/YcMGpkyZErDO5MmT/cqvX7+eCRMmBIxPEggEAoFAIAhEwgslgEWLFvG///u/PPPMM+zZs4dbb72V8vJyb16kxYsX++RnWrBgAQcPHmTRokXs2bOHZ555hhUrVnDbbbfF6xQEAoFAINCECyniTaCdhHe9AcyZM4eamhruvfdeKioqGDlyJGvXrqWsrAyAiooKysvLveX79evH2rVrufXWW3n88ccpLi7m0UcfVZUawGq1cvfddwd0x8WCePefCGOId/+JMIbu3n8ijCHe/QsEbjmyOKMYLW/ZZZFkMedVIBAIBIKEo76+nuzsbP7fB1dhybBobsfeaGfl9P+jrq4u7rGGyUhSWJQEAoFAIOiuuCMM5o6kriBJYpQEAoFAIOiuuJEi3rSwfPly+vXrR0pKCuPHj+ejjz4KWraiooKrr76aIUOGYDAYWLhwoV+ZZ599FkmS/LbWVt/MxGr6jQVCKAkEAoFAIPDBs8bq7bffzvbt25k2bRqzZs3yiQfuiM1mIz8/n9tvv50xY8YEbTcrK4uKigqfLSXl1CriavuNBUIoCQQCgUCQwHgyc0eyqaXjGqvDhg1j2bJllJSU8MQTTwQs37dvXx555BGuueaakEmaJUmisLDQZ4uk31jQLYXSq6++ygUXXEBeXh6SJLFjxw6/MjabjVtuuYW8vDzS09O57LLLOHz4sE+ZkydPMm/ePLKzs8nOzmbevHnU1tZqGlMgc6QkSTz44IPeMtOnT/c7PnfuXE39debaa6/1a3vSpEk+ZZRcEy04HA5+97vfMWrUKNLT0ykuLuaaa67h6NGjPuWief6BiJX5d+nSpZx++ulkZmZSUFDA5Zdfzt69e33KKPn7RMKSJUv82u94A5NlmSVLllBcXExqairTp09n165duvXft2/fgJ//m266CYjO+X/44YdceumlFBcXI0kSr7/+us9xJeccre+EQNART4xSJJsaPGusdl4zNdQaq0ppbGykrKyMPn36cMkll7B9+/aY9BsJ3VIoNTU1MXXqVP74xz8GLbNw4UJee+01Xn75ZT7++GMaGxu55JJLcLlc3jJXX301O3bs4J133uGdd95hx44dzJs3T9OYOpsin3nmGSRJ8ktpcMMNN/iUe+qppzT1F4gLL7zQp+21a9f6HFdyTbTQ3NzMtm3buPPOO9m2bRuvvvoq33zzDZdddplf2Wief0diaf7duHEjN910E59++ikbNmzA6XQyc+ZMmpqafMqF+/tEyogRI3za/+qrr7zH/vSnP/HQQw/x17/+lc8//5zCwkJmzJhBQ0ODLn1//vnnPn17EsZeeeWV3jJ6n39TUxNjxozhr3/9a8DjSs45Wt8JgSAa1NfX+2wdF4LviJY1VpUwdOhQnn32Wd58801Wr15NSkoKU6dOZd++fVHtN1K65aw3j5g5cOBAwON1dXWsWLGCF154gfPPPx+AF198kZKSEt59910uuOAC9uzZwzvvvMOnn37KxIkTAfjb3/7G5MmT2bt3L0OGDFE1ps7mxzfeeINzzjmH/v37++xPS0vzK6sXVqs1aNtKrolWsrOz/TKpP/bYY5xxxhmUl5dTWlrq3R/N8+9IR/MvwLJly1i3bh1PPPEES5cu1bWvd955x+f9ypUrKSgoYOvWrZx11lne/aH+PnpgMpkCti/LMsuWLeP222/nhz/8IQDPPfccvXr1YtWqVfziF7+IuO/8/Hyf93/84x8ZMGAAZ599tnef3uc/a9YsZs2aFfCYknOO5ndCIOiImwjXemsP5i4pKfHZf/fdd7NkyZKg9dSusRqOSZMm+ViCp06dyrhx43jsscd49NFHo9ZvpHRLi1I4tm7disPh8DH/FRcXM3LkSK/5b9OmTWRnZ3tFErR9CLKzsyM2ER47doy33nqL6667zu/YSy+9RF5eHiNGjOC2227T7Rc9wAcffEBBQQGDBw/mhhtuoKqqyntMyTXRk7q6OiRJokePHj77o3n+HuJt/q2rqwPwW4Q11N9HD/bt20dxcTH9+vVj7ty5fP/99wDs37+fyspKn+thtVo5++yzo3I97HY7L774Ij/72c98bo7RPv+OKDnnWH8nBN0XOcIZb3K7UDp06BB1dXXebfHixQH707LGqhYMBgOnn36616IUq37V0i0tSuGorKzEYrHQs2dPn/0dzX+VlZUUFBT41S0oKIjYRPjcc8+RmZnp/SXr4Sc/+Qn9+vWjsLCQnTt3snjxYr744gs/a4wWZs2axZVXXklZWRn79+/nzjvv5Nxzz2Xr1q1YrVZF10QvWltb+f3vf8/VV1/tkxwtmuffkXiaf2VZZtGiRZx55pmMHDnSuz/c3ydSJk6cyPPPP8/gwYM5duwY9913H1OmTGHXrl3ecw50PQ4ePBhx3515/fXXqa2t5dprr/Xui/b5d0bJOcfyOyHo3rjlCC1K7XWVLizdcY3VH/zgB979GzZsYPbs2ZrH0RlZltmxYwejRo2Kab9q6fJC6aWXXvJxDbz99ttMmzZNU1udzX+BTIFKTIThxvTMM8/wk5/8xGfKJLTF53gYOXIkgwYNYsKECWzbto1x48YpPo9A/c+ZM8en7QkTJlBWVsZbb73lJ9g6osUkGur8HQ4Hc+fOxe12s3z5cp96ep2/UuJh/r355pv58ssv+fjjj332a/37KKWjC2rUqFFMnjyZAQMG8Nxzz3lN5bG6HitWrGDWrFkUFxd790X7/IOh5Zzj7SYQCPRg0aJFzJs3jwkTJjB58mSefvppvzVWjxw5wvPPP++t45kY1djYyPHjx9mxYwcWi4Xhw4cDcM899zBp0iQGDRpEfX09jz76KDt27ODxxx9X3G886PJC6bLLLvNxj/Xu3TtsncLCQux2OydPnvT5tVhVVcWUKVO8ZY4dO+ZX9/jx42FNhKHG9NFHH7F3717WrFkTdpzjxo3DbDazb98+VUJByTUpKiqirKzMaxJVck0i7d/hcHDVVVexf/9+3nvvvbC/fLSefzjiZf695ZZbePPNN/nwww/p06dPyLKd/z56k56ezqhRo9i3bx+XX3450GZBKSoq8paJxvU4ePAg7777Lq+++mrIctE+f08sVKhz1vM7IRCEIh6ZudWusQowduxY7+utW7eyatUqysrKvPHAtbW1/PznP6eyspLs7GzGjh3Lhx9+yBlnnKG433jQ5WOUMjMzGThwoHdLTU0NW2f8+PGYzWYfl05FRQU7d+703gAnT55MXV0dmzdv9pb57LPPqKurC3uTDDWmFStWMH78+JAJuzzs2rULh8PhcyNXgpJrUlNTw6FDh7xtK7kmkfTvEUn79u3j3XffJTc3N2w7Ws8/HB3Nvx3ZsGFDVB6Asixz88038+qrr/Lee+/Rr1+/sHU6/330xmazsWfPHoqKirzuzo7Xw263s3HjRt2vhyeQ/eKLLw5ZLtrnr+Sc9fxOCASh8LjeItm0cOONN3LgwAFsNpvf5JJnn32WDz74wKe8LMt+W8dJUw8//DAHDx7EZrNRVVXFunXrmDx5sqp+40GXtygF4sSJE5SXl3vz9Hhy1niSX2VnZ3Pdddfxm9/8htzcXHJycrjtttsYNWqUd3bLsGHDuPDCC7nhhhu8U9R//vOfc8kll6ie8eahvr6eV155hb/85S9+x7777jteeuklLrroIvLy8ti9eze/+c1vGDt2LFOnTtXUn4fGxkaWLFnCFVdcQVFREQcOHOC///u/ycvL8/qJlVwTrTidTn70ox+xbds2/vWvf+FyubzWnJycHCwWS1TPPxCxNP/edNNNrFq1ijfeeIPMzEzvuWdnZ5Oamqro7xMpt912G5deeimlpaVUVVVx3333UV9fz/z585EkiYULF3L//fczaNAgBg0axP33309aWhpXX321Lv0DuN1uVq5cyfz58zGZTt2aonX+jY2NfPvtt973+/fvZ8eOHeTk5FBaWhr2nKP5nRAIBAmE3A1ZuXKlDPhtd999t7dMS0uLfPPNN8s5OTlyamqqfMkll8jl5eU+7dTU1Mg/+clP5MzMTDkzM1P+yU9+Ip88eVLzuJ566ik5NTVVrq2t9TtWXl4un3XWWXJOTo5ssVjkAQMGyL/61a/kmpoazf15aG5ulmfOnCnn5+fLZrNZLi0tlefPn+93vkquiRb2798f8O8ByO+//74sy9E9/2A8/vjjcllZmWyxWORx48bJGzdujEo/wc595cqVsiwr//tEwpw5c+SioiLZbDbLxcXF8g9/+EN5165d3uNut1u+++675cLCQtlqtcpnnXWW/NVXX+nWvyzL8rp162RA3rt3r8/+aJ3/+++/H/C6z58/X5ZlZeccre+EQCDLslxXVycD8qXrr5N/+J9fat4uXX+dDMh1dXXxPqWkRJJlWY6ZKhMIBAKBQKCI+vp6srOzuXjd9ZjTLZrbcTTZeeuC/6Wurk7RrDeBL10+RkkgEAgEAoFAK90yRkkgEAgEgmRBrzxKAm0IoSQQCAQCQQIjhFJ8Ea43gUAgEAgEgiAknFD68MMPufTSSykuLkaSJF5//XWf47Iss2TJEoqLi0lNTWX69Ons2rXLp4zNZuOWW24hLy+P9PR0LrvsMg4fPhzDsxAIBIJTiPuaIBLilUdJ0EbCCaWmpibGjBnDX//614DH//SnP/HQQw/x17/+lc8//5zCwkJmzJjhszjqwoULee2113j55Zf5+OOPaWxs5JJLLsHlcsXqNAQCgcCLuK8JIkGGCBfFFURCQqcHkCSJ1157zbuEgizLFBcXs3DhQn73u98Bbb+yevXqxQMPPMAvfvEL6urqyM/P54UXXvCuD3X06FFKSkpYu3YtF1xwQbxORyAQCMR9TaAYT3qAc99agCld++LPziYb7138pEgPoJGkCubev38/lZWVzJw507vParVy9tln88knn/CLX/yCrVu34nA4fMoUFxczcuRIPvnkk6A3FJvNhs1m8753u92cOHGC3NxcscClQNCNkWWZhoYGiouLMRj0N8JH674m7mn6Eu3PgSBxSSqh5FnaofNCnL169eLgwYPeMhaLxWeRSk+ZzoucdmTp0qXcc889Oo9YIBB0FQ4dOhR2sWItROu+Ju5p0SFan4NQiFlv8SWphJKHzr+GZFkO+wspXJnFixezaNEi7/u6ujpKS0s5k4swYY5swMmGXr82Je2/uiRD+DE4ZQffuHbQRB1N1CN38sTn0ZtR5rbFSWVZ5lPn21iwYCENq5SCCTNGyYQRM2lSJjmmQm/dBvfJ9vbk9n/utkUekTFJFrIMOQC4ZBcHnDuxY8ch23DIrTiwY8eGCwe9DGWMsEwEwC3LfGB7xduHhVSypByyDG1bpiEHs9R9Pmsxc/q7I+vIKTv4yPk6mZmZOg0oMHrf14Ld03r/8lnu/dEEfjShJPJBdyPq6+spKSmJ+ucgEEIoxZekEkqFhW0PssrKSp9Vw6uqqry/xgoLC7Hb7Zw8edLn11dVVVXIFb2tVitWq78P2IQZUzd6eAFxF0qdRVKr3MxJuYqT8nGspDDAOAoAIyaqOYoLJwAGjGRIPciQepAuZZEp9Tz1t5NgmmV24A4DiLKexgJFYzVJZoZYJgR8WDllOy5cmKS2pQdstNLDkE+Tux4HNuy0UC0fodp1BFxQYCjlNGvbKtmyLFMvnyBL6okUgeBMaDpcsqiGShrb/49QMEXLXRWt+1qwe5rBmoYxJV3EqmhEuC27H0kllPr160dhYSEbNmxg7NixANjtdjZu3MgDDzwAwPjx4zGbzWzYsIGrrroKgIqKCnbu3Mmf/vSnuI09aUgAkdQiN3JCruKku4pa+TgtNHmPp5LhFUqSJDHYOBaLlEKG1INUMtTdxBRYrUKONUxfJsni8wWzSimcYW2LJXHIdhrdtdS5q6mXa6hz15BtyPWWbZEb+cz2NmYs5BiLyDMUkWssIkVK7zD+CASU2629bhToeC2jJpo8f+8IBZPexOO+Zncm1t9fEBphUYovCSeUGhsb+fbbb73v9+/fz44dO8jJyaG0tJSFCxdy//33M2jQIAYNGsT9999PWloaV199NQDZ2dlcd911/OY3vyE3N5ecnBxuu+02Ro0axfnnnx+v00oOEkAkybLMVuf7PuJIQiJT6klPKZ8eUoGPu6GPcZD6jiIQSHr9mjRLFnoaC3wsV16BYDDQKrdgwowDO8dcBznmOggOSJeyyTMWU2weSCY9g7SuACUiK05iynONu5JgSrT7mt0lhFIyIcsScgRiJ5K6ggQUSlu2bOGcc87xvvf42OfPn8+zzz7Lb3/7W1paWrjxxhs5efIkEydOZP369T5+44cffhiTycRVV11FS0sL5513Hs8++yxGo9GvP4HOKBRJbtlNLcc5Lh/hpFzFRNMFSEhIkkSBoYQ6uZqeUgE9pHx6SHmB3Z9qBVkCCCQfOomVjj3kGAuZnjaHenc11a6j1LiOUueuoUmuo8lZRw9jAZmGNqHklB0YMGCQdP58BxNTMRJQUbcyxVAwJdp9zSYsSgKBYhI6j1I88eSvmM7s7hGjpIcQCCNcZFmmjmqOyPs5Lh/GicN7bJxxOrmGQm+5kMJEi8VKo0jSVSBFOKXYIduocVVQ4zrKYMsEzO2xT9/bv+SAYze9TKUUmvrS01CIIdZxTTEST1G9XQURTE7ZwfuOV5I+B43nnlay8P/45cyRLJ41LN5DSio81y+WnwNPn5PfuCXiPEqbZj+W9J/heJFwFiVB16RGrmSveyvNNHr3mbGSLxVTYOhDDynPu19XkRRPgaRzrhWzZKXQ1JdCU1+f/SdclTixc8T5LUec32IhhV6mMopNA8g25gVuTG86n2uUhFNUrUwGKeHil6KFiFFKLkSMUnwRQkkQFWuSW3bhxIFFSgHAgpVmGjFiopdUQpHUl56GfHUzumIgkiIWSHFIRDc+5XxOuquodB7gmPMgdlo55NzLIedeehgKOD3lgtjP1Ol4HaIsmnQVTAka8K03wvUmEChHCKXujs4iySa3cEjexxH5O3KlIkZKkwDIlHoy2jCVHHphksyK8iQF6yMssRZIcc7SK0kGcoyF5BgLGWo5gxpXBZXO76l0HSTNkOlzbq3uZlIMabEdYJRFkxBM6hEWpeRCBHPHFyGUBJHRLmCa5HoOyl9TIR9Epu0mXCfXIMtur9WoQOrTXiVxRJJmgRQLcaRhbAbJSL6hD/nmPgyRW3HLLm87Da4TbGr5J3nGPpSah5JrLCbmt88oiqaoCaYuuOassCglF8L1Fl+EUOrO6GBNqpWrOeDeQzVHvfuyyaXMMJR8iv1ca4kikhJGIEXRJWaRUnym0p1wVQBQ7TpMteswmYae9LeMocBYGvh6RHueR5REk+6CKcJ8W4mI3dkF1V8XRliU4osQSgLtSAZOuI95RVI+vSkzDPUJzPYtHiWRFG2BpJc4inNG3zLLCPJMfTjk2MsRxz4a3Cf5ovUDMgw96W8ZTS9jme/1iaV4ioJoino+piRGuN4EAuUIodRd0fjQPiFXYcREtqFNDPWRBmKnlRJpMOmSjmsgJYJIilQgJeBSB+mGbIZaz2CAZQwH7bspd+yh0X2Sr22fkZ/WB2O4W0Lnc4pKfqP26y4EU9QQrrfkQo7Q9SYsSpEhhJJAEfXySb6Vv+IEx8gih9Pl85EkCYtkZag0Pmx9xdakKLjaYiaQElAYBcMsWRloHUuZZTgH7XuwGlIxSm23A1mWqXYdIc/YO/y1i6ZwioJgEmKpDWFRSi5kIvtqiU99ZAih1B1R8UBvlhv5Tt7JMQ61VUUiW8rFjRsjyjICJ41I0iKQkkgcBaJNMJ3ms++Y6yBftm6kh6GAodYzyDLmBq4ciI7XQ7cYIf0Ek7AutSEsSgKBcoRQEgTELtv4Xt7FEb5Hbv89Ukgp/Q2jSJMyFLejOi4pHF1ZIMUyzUAI0eGU7RgwUuuu4tOWf9HbNIiBlrFYDanq+tBbNOkYx9TdBZOwKCUX7rYFniKqL9COEErdDYUP+OMc5TDfAZBLIQOlUWRKPVRZfVSJJCXt6i2S1AoTvcRRnPMuhRyD200f82DyjL35xr6VSud+jjj3ccx5gP6WMZSah2pbU85z7fS0MulkYeqOYskmZr0lFWLWW3wRQkngxS27vWuEFdOXOqoplMrIkdpXuI/W+mE6iaSEFEiJIIrU0D7eFEMmo03TKXEOY2/rZ9S7a/jGvoVa1zFOSz1Xe/t6Wpl0csl1R+uSsCgJBMoRQqk7EeSB75JdHJC/ppJyJjIDk2RCkiSGS6d3qKvuga9rXFI8RFJ3Ekch6GnqxcT0Sznq+JZ9tq2UWIfr17heViYdBVN3EUt2lxBKyYRblpBEwsm4IYRSN+eEfIyv5W3exWorKacP/SNqMyFFUjQFUhcSRoGQJInelkEUmvt5Z8YBHLHvw4yZAlNppB2ceh2JUNFBMHUX65LNIYRSMiHLEc5669of56gjhFJ3oZMAcMlOvpG/4AjfA2AlhcHSWAroHaBuFOKSEk0kxTrHUtBh6PvLT88HfkeR1OxuYE/rp7hxUmTuz9CUSZgla+RxQ3pYmXQSTF1ZLLWKGCWBQDFCKHVD6uWT7JQ/o5kGAPowkIHSSEySOTYD0EEkJbNA0lsMae0rEiFglVIptQzlgH0XFY7vqXFWMDxlMgXmsrYCiSKYdLAudcUkNA6XjMPlxmzs2tbQroII5o4vQih1Bzo9LPfLe2imAQspjJDOIFfqFaKuztakZBRJEYijWIoitQQam1LxZJRMDE45nQJTX3a1fkSTu44dLe9R5BzAsJTJmAwdRHckoilSwaSLdUlz1YSm1eESQilJEEIpvohvSTdkmDSeYvoySZoZW5GkhEhFksEQXthIkrKnn5K2/JqWfLZkQ+34e5jymZR+GX0towCJCsd3bG76Fy7ZeaqQhusYYGAiwF4nPF+xFrtwvyUL7vYlTCLZtLB8+XL69etHSkoK48eP56OPPgpatqKigquvvpohQ4ZgMBhYuHChX5m//e1vTJs2jZ49e9KzZ0/OP/98Nm/e7FNmyZIlfvehwsJCTePXC3H36AZUyUfY697hfW+RrAw3nI5FssZ2IOGElx4iKXQDURFIySyMwqFEOLVZlyZwetqFWKU0Ckx9feKZvHiuaySiJRLBpIdg6wKkmNuuQYtDCCVBcNasWcPChQu5/fbb2b59O9OmTWPWrFmUl5cHLG+z2cjPz+f2229nzJgxAct88MEH/PjHP+b9999n06ZNlJaWMnPmTI4cOeJTbsSIEVRUVHi3r776SvfzU4NwvXVhZFnmO3ZzgD0A5MgF5EvFyirH2uUWC5EUDpXiSFf0zGDujl5QTcfz7uym62kqZHL6bMySxbuv1d2MWbL4C6dIXWKSFJk7Tqf145KRVLORVqcQSslEPGa9PfTQQ1x33XVcf/31ACxbtox169bxxBNPsHTpUr/yffv25ZFHHgHgmWeeCdjmSy+95PP+b3/7G3//+9/597//zTXXXOPdbzKZ4m5F6oj4edVFccoOvuATr0gqZRC56P/Bi7tICmclUGKBUGhpiNhyZJCCb3oSqh8d+wp0PSyGFKT2v7dLdrK9eQObm96i2V0fZKwRWHmEdUkTVnNbZvVm4XpLGtqEkhTBpq4/u93O1q1bmTlzps/+mTNn8sknn+h2Xs3NzTgcDnJycnz279u3j+LiYvr168fcuXP5/vvvdetTC0l3p+jbt6+fO0CSJG666SYArr32Wr9jkyZNivOoY0uT3MBm3qOaCgwYGCGdwWDDad6s22HRMwN3tEVS6Mph+lYnkFQRbTEUCVEYV6Br1Oyup1VuosF9gk8b/8lxx+EQY4pQMGklQcRSLO9raZY2odQqhFK3o76+3mez2WwBy1VXV+NyuejVyzeGtVevXlRWVuo2nt///vf07t2b888/37tv4sSJPP/886xbt46//e1vVFZWMmXKFGpqanTrVy1J53r7/PPPcblOfcF37tzJjBkzuPLKK737LrzwQlauXOl9b7FY6C7UyJV8xWc4cWAllTHSFLKknPAVNRBxAHe0RFKkbrpwfQdsM4GEkFo6jz0C113H65ZpzGFy+my+bPmAWlcVO1reZag8iRLL0BBj0eiSi2R2XAK44mJ5X0sxGQGncL0lEXrNeispKfHZf/fdd7NkyZKg9TrfB2VZ1i3s4E9/+hOrV6/mgw8+ICUlxbt/1qxZ3tejRo1i8uTJDBgwgOeee45Fixbp0rdakk4o5efn+7z/4x//yIABAzj77LO9+6xWa0L5N2OJjIwTB9nkMlqaglVKCV+pI7G0JoWqGieRpOomkMziKBQ6CSdJkkg1ZjAh7UJ2t37CUce37GndRIu7gUHWCeH/xlrEi9bYJZ2WQdFKLO9rKeY2oSRcb8mDTGTpvDx1Dx06RFZWlne/1Rp4Qk9eXh5Go9HPelRVVeVnZdLCn//8Z+6//37effddRo8eHbJseno6o0aNYt++fRH3q5XEsDtrxG638+KLL/Kzn/3M56b7wQcfUFBQwODBg7nhhhuoqqqK4yhjS55UxGmcyXjpbPUiSQVhrUkRuNyiIpLCuHYUu9f0cFlJhuhvehLhORsNJkamTmOAdSwAB+w72WfbqqBfje64SGOX4ky072upFjHrrbuSlZXlswUTShaLhfHjx7Nhwwaf/Rs2bGDKlCkRjeHBBx/kf/7nf3jnnXeYMGFC2PI2m409e/ZQVFQUUb+RkHQWpY68/vrr1NbWcu2113r3zZo1iyuvvJKysjL279/PnXfeybnnnsvWrVuDfiig7Y/R0V9bXx8k+DTBcMsuvuFLyhhMqpQOQJ5UqO1BofABG02XW9REkpb+fNqI3vWMCsH6liO0mHS8DiosTZIkMTBlLGmGTPa1bg3tfvPrMwJ3XBK64vS6rwW7p6W2B3O3CqGUNMQj4eSiRYuYN28eEyZMYPLkyTz99NOUl5ezYMECABYvXsyRI0d4/vnnvXV27NgBQGNjI8ePH2fHjh1YLBaGD29bTPtPf/oTd955J6tWraJv375ei1VGRgYZGRkA3HbbbVx66aWUlpZSVVXFfffdR319PfPnz9d8/pGS1EJpxYoVzJo1i+LiU1Pe58yZ4309cuRIJkyYQFlZGW+99RY//OEPg7a1dOlS7rnnnqiOV2+cspMv+YQTVHGS40ySZyRGLp9QAkFvkRRBsHf4lAMqr2U8hZFSOo8xEuHkuT4qBFOxZSC9zG15ljzpBZyyQ9nyOVoEjNbYpTiKJb3ua8HuaWLWWxKil+9NBXPmzKGmpoZ7772XiooKRo4cydq1aykra1umqKKiwi+n0tixY72vt27dyqpVqygrK+PAgQNAWwJLu93Oj370I596HWOlDh8+zI9//GOqq6vJz89n0qRJfPrpp95+40HSCqWDBw/y7rvv8uqrr4YsV1RURFlZWVj/5uLFi30Cxerr6/0C3xIJu2xjBx9Tz0mMGBnMmFMP/iiKpYhdbsGqxVAk6SqQkkEchUIP4aRSMHlyKkmSxDHHQfa0bGJ82gVkGHso6CuG1iVPXzHUE3re14Ld0zyz3kRm7iQiQosSGuveeOON3HjjjQGPPfvss/7dhPmOeQRTKF5++WUlQ4spSSuUVq5cSUFBARdffHHIcjU1NRw6dCisf9NqtYZ0zSUSrXIL2/mIJuoxY+E0ziQ70pltsXjgBxEguoqkWAgkPa5VoiaY7HhuakWTSrecLMscsH2FTW5mS/PbTEi7kAxjT4V9abQuRRLoHQP0vK8Fu6elCNebQKCKpPw57Ha7WblyJfPnz8dkOqX1Ghsbue2229i0aRMHDhzggw8+4NJLLyUvL48f/OAHcRyxfjTLjWzhfZqox0oqE5geuUhSSETWJC3CIFYiSUmgspZA6URIMBkJkQSHK+hfkiTGpp1PpiEHu9zK583v0OA6oaIPDcHeka4ZF0VidV9LNbVblIRQSho8mbkj2QTaSUqh9O6771JeXs7PfvYzn/1Go5GvvvqK2bNnM3jwYObPn8/gwYPZtGkTmZmZcRqtvnzNdlppJo0MJjCddCnLt0AUg7g1oyUuSSeRFHI2mxqBpIRETDCp15iiJJgshhQmpM8iy5iLQ25lS/M7NLhViCXQPjMuwYjVfc3aPutNxCglD5Fl5Y7QbSdITtfbzJkzA/pCU1NTWbduXRxGFDtGcjpfs4MhnBbV6f+diUZsUixEUuDyOp1LooghNUSaI0mra84gBe3LYrAyIf1Ctjato85VzedNbzMh/UKyjXlhYx5Ota8hdimS9eKiQKzua2lmEaMkEKghKS1K3Q13hweSRUphtDQppiIpLBpcbgkpkpRYTXSxzkiRb3oRyflodUUGwCxZGZ9+IT2MBThlOxX279q6UJ0hXYMrrpuRbm2bYdhoc8Z5JALFyFLkm0AzSWlR6k44ZQfb+JA+8gCKpb6hC0fJ7aY5b5LaempEkt4CKeS4tFzXKN+YQrWv1UqiMUeS9/optTAFmSVnliyMT7+AQ/av6WsZeap5SVJuWQL1gd4JZlmKNunWttu+EErJQ6RxRt3o4x0VhEUpgXHKTra3pwD4lq9wyo54D8kfPV1ugQv779NLJIWziKixtETL4qMFPcaixcqkxcLUCZNkpp91lPdvKctuHLJN/cLEwrIUlMx2odTQmoD3E4EgAREWpQTFLbv4kk+oowYTZsYyTVlSPjXEwZqkyuUWqUjSakVScs7J9GDtPFZV1hkNViY1FqYQOZhcspOvmj+kRW7k9PRZmCSzOuuS2rilSBbWTSLSrW0xSo2twqKUNMQh4aTgFMKilIDIsswetnGCKoyYGMuZZEo94j0sf1RakxJCJIWyeoSzokRipUmkddy0nodaK1OE1iWb3MIJVyX1rmp2NL/njdUTcUuRkZ7SblESrrekQcx6iy9CKCUgB9lLBQcBGM0ksqXc8JUS6eau5mEagUgK6o4J1L8eAkkJsVikVs8+tIgmVS5JDekV2kkzZDIu7XyMmKhxHmFXy8dea5JwxWkns0OMkqrYL4GgmyKEUoJRJ5/gW3YCMITTyJUKo9NRpG63UKIjUHGlFiIVIklx/1oEklIBEU1BpJZIx5JIgqmdHqYCxqSdg4TEUce37LNt9W1WiCXVZLTPepNlkUspqZAj2AQRIYRSgpFFTwYwgj4MoEQaGO/hxB+lIinYQzvQw1mJQApFogijcGgVTmqtTGoFk8o2880lDE+dCsB+25fe1AGnhivEkhpSzAaM7ddWzHxLDoTrLb6IYO4EQ5Ik+jEs7ibxhLEmKWpLpRUpcMNhOtaYlToaaF3bTUuySDUBziGSSgYch9Jgb7dMH8tgmt317Ld9ye6WTeSbSzBJlg7DVBnkrTZ9QBdCkiQyrCbqWhw0tDrolZVAOdkEgRHB3HFFCKUEwCW72M9u+jHMZ2V1xai9kcfQEqKnyy0ikaRFIEUYjBw1AvWlNcO23oIpxCy2gGNQIZYGWcdhczfTxzLERySdGqInpYASUadSLHUxTgklYVESCMIhhFICsJftHOUA9ZxkHGfFezihUWupUdRmHERSpAIp0ZYv0bo0iVork96CSalgM0hIbgOj0sJ/PxRbl7qxWMpMEUknkwupfYukvkArCR5k0fWplMs5ygEA+jI0voNpR3PupM7tqJjiH6qMIpEUKA4naNyShtQBHdvTeH08M7XCbbqgZaxqYpnUxC8p7VtJWx3aa3CdoNy2J3BzisfXPW+BGZ6Zb8KilBxEEsgtArojRliU4kiz3MgetgHQj2HkSAVxHpFGlD4MlbjcFAmpACJJyZhCCSSlfYVAL5ETrh3V8Wtqk0YqtfJEw7qk0BXX4qzns8Z/4cJJqiGDfHNJgOEJy1IwMkUuJYFAMd3z51QC4JZdfMVnuHDSgzz6MSw2HUcSn6SiriLRoEAk+bWjp0iKJLcS/haiWBFRv9GY0q90hpyijOfKPmOppiyKLW2zQr9s3kiLuzHI0IRlKRAZKe0L4wqLUnIgLEpxpXvdHRKIb9lJAycxY2EkZ2BIkKnmqt1ukViTwo1FrUgKJAICPcSDCYAw7qp4CaNwaBqXGtecGsGkpF+d+huaNoksYx5O7Oxs/iio9UiIJX8yvOu9CaGUFMhS5JtAM93nzpBAOGQ7FZQDMJwJpEhp2huL1QM7xtYkTSIpXB+B6nnqhniAqxZGHfMQRbJpRLNoCtuwTtYlnfozSEZGp5+NASMnXBWU2wPHK7UNS4iljpwK5hYL4woE4eged4UEwyxZmMT5DGUc+VJxvIejK4oCuOMhkkJZkQKgWGzoKHAUta2yfd0FUzysSyFIN/ZgcOoZAHzT+jlNrroQQxJiyUOGVcx6SyZkOfJNoJ2uf0dIUKxSKn2k/rHtNMxDJypuN5UPnYhFUjBXm9+4AouCsMIiWqJIDRrGoFowhW0wccRSqXUYuaZi3Lg4aN8VZkhCLIFwvSUdIkYprohZbzHkuHwUGShINiuSnvFTama5aRFJocoHquOtGkYcaUXJAzfSGVcdxxfmp2PH8ww5I0zJTDUls+OUzIxTktE7xIw4SZIYmX4WFfbv6GseEbodxGw4EHmUBAI1CKEUI+yyjd1sxYGNkfJECiX/6cxJRRBrjG+ZCF1uPgejI5KC9qlGHEVqfQhVX+2DWumUfU6duy6CSUkqgSiKpRRDOv1SRocfqwDoIJSERSk5iDQgWwRzR0TXti8nEPv4Egc20smigCSzKMWAkC63SEVSADdbUFeUomBkg+8WTTr3pbQ/Fa45Re4oPWKXlAR5h0OBddMluTho2407hHjr7i64DGt7egBhUUoKJDnyTaAdYVGKATXyMSo4CMAwxmOQjHEekT9B45MUut0itSb5HgvxENMiknyKa7AgJdrDsuN4lFicFFiZYmZdirJlSZZlPm9YS53rODIyfa3BXXGqXHBdjIwUEaOUVIhFceNK0gmlJUuWcM899/js69WrF5WVlUDbjfKee+7h6aef5uTJk0ycOJHHH3+cESPCxy5EA5fsZA9bAShhID2kXP0aVzVlXcebfaRLnIRyuYWKS4qGSNJLIOkV2K0667YK0aSnYEpQsSRJEr2tg6lrPs53rdsoMvfDagiefkOxWIoysb6vnQrmFukBBMnNokWLVNe54447yMnJUVw+6YQSwIgRI3j33Xe9743GUxaaP/3pTzz00EM8++yzDB48mPvuu48ZM2awd+9eMjMzYz7W79hFK81YSWUA8RFr0Ua1NSlUXZ+DCkWSngJJiTiK5my3QG0rfZB7xq6TYEpWsdTHMpjDtr3Uu6r5xraFUamhF9JNFLEUy/tax2BuWZbV5QkTxB4RoxSUZcuWMXnyZCwWi6LyH3/8MTfffHPXF0omk4nCwkK//bIss2zZMm6//XZ++MMfAvDcc8/Rq1cvVq1axS9+8YuYjrNVbuYQ3wIwjHGYJHNM+09IlLrcQlnAoiGSAozL8/CU4pkKoG0Ap16rcRUpEUyRWJfCueLiJJYkycDwtCl82vAmR+3f0sc8mJ4m//uFb534i6VY3tc8FiW3DC0OF2mWpHwUdB+E6y0kr732GgUFytZK1fLDIim/Hfv27aO4uBir1crEiRO5//776d+/P/v376eyspKZM2d6y1qtVs4++2w++eSTkDcUm82GzWbzvq+vr494nFZSGcMUajhGnlQUcXvRQlV8klq3m1JrktK4pEhEUvt7h9tGo+METa6T9E4fjtTezt7a/1DZsg+nbMflduDG1VYNA5IkcWbhPNJM2QAcbfqa4637STFmkW7KJs3UkzRzD6zGdOW/zrU8mNWIJiWCKdrWpXApBKIklrJN+fSxDOGwfS+7WzcxOX12wiwTFAy972uh7mlpFqP30ja2OoVQEiQtK1euJDs7W3H5p556il69eqnqI+m+HRMnTuT5559n8ODBHDt2jPvuu48pU6awa9curz+/80Xo1asXBw8eDNnu0qVL/WIEIkWSJPIoIo/EFUmREtbtpvSYT6NBXG4KRVLHMblkJ3X2Kk46jlJrP0aDs4ZWV4P3eF5qX1KMGQDIyLS4/AWyjBtZBolT7dY5jlHR/I1fWbMhhWxLL4bnnOsVVcHPM4igUiqglIompYIpmq64UOghlgIwKHUCxxwHaHSd5JDja8osw8MMI35WpWjc10Ld0yRJIsNqor7VSYPNibLf4oK4ISxKQZk/f76q8ldffbXqPpJOKM2aNcv7etSoUUyePJkBAwbw3HPPMWnSJMD/4a3EB7948WKfoLD6+npKSrTlOpJlGScOzJIyn2mXRYs1KUKRBL5/7731n1De/JVf/ynGDNJNObhll7f9sswxFKYNxCiZMRksGCVT+/3JjYyM1ZjhHUdh6iBSjJm0OOtpcp6k2VFLi6sBh7uV6taDmA1Wb19HGnfT7KwjL7WMbEtheMtG5+um5OGtKLFjGMEUpg1Frrh4WZYCWJUshhQGpU7guKOcfHOJIsEVL7EUjftauHtaZoq5TSiJmW+JjxBKcSXphFJn0tPTGTVqFPv27ePyyy8HoLKykqKiU1acqqqqsKY2q9WK1WoNWUYpxzjE12xngDyCEmmgLm0mBOHcbgqtSRGJpABjkmWZeudxKlv3UdW6nzE9LyDbXACSRE9rEcdav6OnpZieKb3JNOeRac7FbEjxazvVlEWqKUtRvz1TetMzpbfPPrfspMFeTaPjxKn2gUNNO6m1HeW7+s+wGFIpTBtEYdoQelqLlbnp1LjblAqmaFmX4mlZCiCW+liGUGIdqmp8iRCvpMd9Ldw9zbvemxBKgiQmJyeHb775hry8PEXlS0tL+eijjygrK1PcR9ILJZvNxp49e5g2bRr9+vWjsLCQDRs2MHbsWADsdjsbN27kgQceiMl4XLKLb9mJEwdOEmTqrZbYDAV1orbsR8hOT43LTitHm77hSMseGp0nvPurWveTbWl7gBSmDKQwbUjQeCX/9lWMu5NwNGAmO7WI7FRfV2tJ5ihSjBnUtJZjd7dQ3vgl5Y1fkmLMoHfGCAZmTVIe16Q083a4ckqsS9EQS9EO8O7UfkArTPDaCUMs7msZ3plvCXKfEgRHzHoLSm1tLW+//bbiOKWamhpcLpeqPpJOKN12221ceumllJaWUlVVxX333Ud9fT3z589HkiQWLlzI/fffz6BBgxg0aBD3338/aWlpmvySWjjEt950AKUMikmfkaB6IVwt6GVNai9jd7ewt3ETFa37kGl7KBowUpDSj8LUgeRZS09VMQb4iKvNp9R5TCrpnTGc3hnDcctualrLqWjcS1Xzt7S6GmmwVyMZO4lSJRYZpVamsMIjhHVJgSsuGcQSQIu7ke9atmOWrAxJOyPhrErxuK+JhXGTh0iza3f1zNxq45TUknRC6fDhw/z4xz+murqa/Px8Jk2axKeffuo1o/32t7+lpaWFG2+80ZuYbf369THJoeSUHRzgawAGMBKjlHSXVzt6ZS9WEJdkNFqotpcj4ybLXECf1KEUpQ7CbEwNPSbVCSf1FZEGyUB+al/yU/vicp/H8ZbvfVx9rc4Gdhx/i/7Zp5Of2v+UqAw76yuM9SiK1qW4iSWVNLnqOGL/BgNGylJGkGJITyixFI/7mlgYV9AVcMdg4erEni8bgJdffpmjR49it9s5cuQI//jHPxg+/NRsFkmSWLJkCRUVFbS2trJx40ZGjhwZk7EdYT9OHKSRQRGl4SskE0qXAmk72KGeSmtSgDbqnNXsbvio7aFlkDBKJoZlncWk3B8xJe9KStNH+YqkzmuiBcqDFCw3kmddOKUiydOOmg0wGkwUpg8m23oqb87+uq3U2irYVvUmmypWcaz5O+85K1sHLUyZsFYzhbmr/A5pFJuRTNdXsvZcB3JNxfQ0FeLGxfctO7T3GyXicV8TC+MmEbIOmwaWL19Ov379SElJYfz48Xz00UdBy1ZUVHD11VczZMgQDAYDCxcuDFjO89m2Wq0MHz6c1157LaJ+Y0HSCaVExSW7OEjbdPEyAsTEJBOxzDcTIvt2k7OOHfUb+PTkPzjUspNj9u+9x4pSB9KjPQ4pmDDzO+Z5H0ogBR1ncNGjmiDtDOgxkf7Zp2OUzNTbq9he9SabK1+h3lalbIyhzk/p8UQSS5G6QyVfkT4wZRwAh+17aXY1KBKfSf09DoPX9SYsSoIArFmzhoULF3L77bezfft2pk2bxqxZsygvLw9Y3mazkZ+fz+23386YMWMCltm0aRNz5sxh3rx5fPHFF8ybN4+rrrqKzz77THO/sUAIJZ2o5Th2WrGSShHKo+m7BArcbmGTS3bY58LFt02f85+T/8cxW5s4Kk4Z4g3Q9mlLrUgK1G/QhJsRCiI1SBIWUxqDc6Zxdsn19M8+A4Nk4qTtCJ9UvMTumvdOuYGUWL2UCKZgJJNYUkGOuYhcU29kZL5r3R5+XN4hdE2xlGFtWylAxCglPhKn4pQ0bRr6fOihh7juuuu4/vrrGTZsGMuWLaOkpIQnnngiYPm+ffvyyCOPcM011wQNrF62bBkzZsxg8eLFDB06lMWLF3PeeeexbNkyzf3GAiGUdCJXKmQyFzCcCQmfATiqhBIufmX9j9c4jvDJyb/zXfM2ZNzkWkqYkjuHUT3OI9WYqUwkdRYJgURDMKGhVRzpaHGyGFMZnHMm0/pcS2H6EACMkinwA1uJhUnLsWQRSypdcANT26xKFfbvaHU3ha7bxckQMUrdjvr6ep+tY+b2jtjtdrZu3eqTDR5g5syZfPLJJ5r737Rpk1+bF1xwgbfNaPUbKd34ia4/6VImuZK61OhJgZr4JJVtddznlt3safwPza46rIY0xmTNZHz2xWSac/37DSWSfAfr31cogRSKMHFHutVpJ9WUxWkFFzOxaA4Dek7y7m921GFzdXjIK7EuhRtfIKIhlqKBCrHUw1RAD2MvZNwcsn2trH4XJdM7602kB0h4POkBItmAkpISsrOzvdvSpUsDdlddXY3L5QqYDd6TKV4LlZWVIduMVr+R0o2mZUUHWZZpoYk0KSPeQ4kPwR6mwYK4vTv96xkMRkZnnscR2zcMTD+9Lbt1+0NMN5HkNw6NAkMPOrYfYnZVx8SWsuzmy+q3aXKcZHTeheSn9TtVMNQitZ6+Qs2MC3QsXPoAtbPCtM6EC9eXikSX/VPHUO+spo/KRJRdDY9FqUlYlBIfnTJzHzp0iKysUzNtwyVZ1rLKRTiUtKm2XyVrs5pMJtLS0lSMtENdTbUEXqqp4As+obfcj2HS+HgPRxW651BSGXwryzLl9l3IQN+00QBkmfPIshT4lFctkiIRSPGKR1EomuyuFlyyE4e7la1Vr9M/+3QG9pji6+4NKUZCCA4dxVJU0gZoEWYB2s03l7QtadLNEXmUuh9ZWVk+QikYeXl5GI1GPyuOklUuQlFYWBiyTa399ujRQ5GAS09PZ8aMGTzyyCP06dNH8biFUIqQw7QFGxvFpQxIMGuSS3ayu+ljjtr3IWEg31pGujH7lKUpnLjRKpIiEUiRiigdFru1mtKZXPxjvq7ZSHnDF3xf9zm1tgrG5F+E1Zh+qmAyiyWtRNpmN7MqiRilJCLGa71ZLBbGjx/Phg0b+MEPfuDdv2HDBmbPnq15GJMnT2bDhg3ceuut3n3r169nypQpEfX7/vvvh+3b7XZz7NgxHn/8cX7+85+zdu1axeMWT/cIaJWbqaFN+fahf5xHoxNhAtEVmV0DueM6CJZWdxM7GjZQ5zqOhMTg9ImkGbICiiRvf2pFkh4CSW/rUqD2NCxFYpBMDM87j54pfdhZvZ4TrYf5tOJlxhdcToYllw4F2/4P5orTUywFHb6GpI0xsCoBHHccYn/rlwxIOY1cc+8QFbsmnhglIZQSn3hk5l60aBHz5s1jwoQJTJ48maeffpry8nIWLFgAtC26fOTIEZ5//nlvnR07dgDQ2NjI8ePH2bFjBxaLxZsT7Ne//jVnnXUWDzzwALNnz+aNN97g3Xff5eOPP1bcbyBsNhvnnHMOZrM57HmNHj3au9C0UoRQioAj7AegJ/mkSdHP/J1whIoPCkKjq5YtDe9gk5swSVZOyzyPXGtgN0jgWV46iaREcb0pdLkFEkxFGUPItOSz7djrNDtr+ap6PZOK5vpft2CWEj3FUoi2goqlaLjgVCxvUu04zElnJQdtu04JpW5kVcrokHBSj9gTQddizpw51NTUcO+991JRUcHIkSNZu3atN1t8RUWFX24jz1qEAFu3bmXVqlWUlZVx4MABAKZMmcLLL7/MHXfcwZ133smAAQNYs2YNEydOVNxvIBYsWMCJEye44IILmD17NhdddBE9evQIWHbgwIG88MILqq6FJMd7mewEpb6+nuzsbKYzG5Pkr1Ldspv/sBYbrYxkIoVSHGIelN7YgliJAsYodS4basZbMNHSvr9z7qRaZxXbGtfjkG2kG3swLutC0kzZvv2GikvSQyRFKJBklXFdkpaHbrivZKfjdlcLO6vXMzTn7FPXMxDBxhKsv1DjCGZZClIn5G0m6LhCWK/CXaNQ17293SZXHR/X/x2AaVlXkWbMDFjXKdv5d/2L1NXVKYrvSFQ89zTPeTS0Ohi1ZD0AX//PhaSYjXEeYWLT+frFss++9/0BQ0qK5nbcra0cuOP2pP8Mh+LLL7/kzTff5M033+TLL79k6tSpzJ49m8suu4y+fftG1LZID6CRGiqx0YoZKwV0P7O9KtrFRY2zAodsI9tUwBnZlwUVST5oFUmdp70HmwYfZqq+bJB8NrV0rq+oDaUpB9qxGFMZ12s2aeYe3mOtzgb/eqESa6rZH4ogdTRZK6KViLK93XRjNjmmYgAq7N+eOt5N0gWkW045FERAd4ITpyVMkonRo0dzxx13sHnzZr7//nuuvPJK3nnnHYYNG8aYMWO466672LJli6a2hVDSyFEOAFBMWfdOMNmZELl3+qecxvC0qUzIvhiLIfivo4BxSacOBn4dbDHdUO0E2B+pMFKC4vaVCKYAHGv6lo2HV3K4YZf/Qb3EkoZFkIOKpXgkomyn2DIQgKP2b2O2AG6iYDBI3plvIkWAoCtRXFzMggULWLt2LdXV1dx1110cOHCACy+8kPvvv191eyJGSSMjOJ1KysmhCyaYVEuAB5bnodjgPkmalIXRYEECStJG+NYJ5XLz4Hko6yGSgjxcNYuicPmJwuDpN6SLLlQfAY6daD2EjIudNeuRJOidMcK3jtqYJR3jlYIS69ig9lilXpa+7Gn+hGZ3PXWu4/QwdUhN0Q1ilTKsJhptThHQneDEI5i7q5Cens4VV1zBFVdcgdvtpqamRnUbwhSiEZNkpo80oFslmgwanxSEOlc1mxv+xbbGDThlldl/O7vc1Iokha63sJYdT71gm9pyQVBsYVJwbGjOdMqy2oIqd1Zv4Hjzfv/y0bYsJYILToH4NUlmCixtQaJHO7rfugmegG7hektwdMrM3VW56KKLqKur877/wx/+QG1trfd9TU0Nw4cPx2AwkJ+fr7p9IZQE+tHhodnibmRb03qcOJBxIyGdenCFsyYFikvyoFQkBavTTkhhokLgKEZhm4qFW7BjtF3HoTnTKc4YjozMjuP/otYWIP2/WrEUbWIdG9T++Su2DKSnqZCepk7W4W4Qq5QhUgQkByJGKSTr1q3zWbfugQce4MSJE973TqeTvXv3am5fCCWVNMuNfC6/zyG5+/36VIoLJ9uaNmCXW8k05jAu8wKMUhAvbyiXm4dAMUsaRVJQIRINcRQMBX0pEkwh9kuSxMi8GeSlluGSnWw99jrNjlr/8mrEQBe1KuWZ+3BG5sUUWQaoH1eSk+lNOinWexMkL53jC/WONxRCSSVVHKaOGo5TEe+haE+8pyedhYjs5svmD2h0n8QipTI2YwYmyRLcmhSsvUAuNw9KRFInIRJWIIUjnGtNpatNaf9hLV8h9hskI6cVXEqWpRcOdwvljV8GLq/HEi8qg7s1BXZHg3ATMbq4VclrURKut4TGE6MUySbQjgjmVskxjgDQS6QECMh3th0cdx7CgJGxGeeTagyQsyMSl5tSkdSBoAIpFJFaljrX15CB26e6QQoc8B0mANtksDCu12VUNH5N3+wJwcsHG1OkYlyPNrxtRSkJZTut7iaOOw5RZBkQMHdaV8S73ptwvSU2MV7CJNmQJMnvx5eeCVSFUFJBi9xEAycByBdCyReDAbu7lYP23QCMSDvTdwYRqBcffgJKB5GkMCBadzq2HS4Dt85iKcWUSb8ep4cur2YmXLD+VM6C05SxOxpIBmS3i80N/6LF3YhVSqPAUuo7ni5KurAoCboAsixz7bXXYrVaAWhtbWXBggWkp7etf9kxfkkLQiipoIrDQNuSJRbJGufRxIBgD4ggbhaLIYXJGZdxzHGAYuvA0G6NcNakQHFJHvQUSfEIXA5jPQp1XKtY8uB02/nmxEeUZI4m05LnW1aNQNHTUqSGUFalUIQ5N0mSyDOXcMi2h+OOQ75CqQuTKRbGTQ4idZ91cYvS/Pnzfd7/9Kc/9StzzTXXaG5fCCUVHGsXSr3oE+eRJC7pxmz6m0/zPxAuNglCx7kEskoFea2bQIpUREXobgsmRoLmXlIglvae+JBDDV9y0naUyUU/xiB1WrYikKBQI4riaVWKULzltwulasehbrP2mYhRShKE6y0kK1eujGr7SRfMvXTpUk4//XQyMzMpKCjg8ssv95v2d+2113p9lp5N7WrBnbHLrdR3Y7dbwIdG+74q5yFqnccClwlklQpmTerUbkCXW+cynV5HLJL0nP2mtK1QZcIEeisu375/YI/JmA0pNNiP823tp6HHFa7deAmJaGTClwzkmIowYKRVbqLRdVL/PkIQr/uaN4+SsCgJBEFJOqG0ceNGbrrpJj799FM2bNiA0+lk5syZNDU1+ZS78MILqaio8G5r166NqF8HDvIoogd5WCXtixN2NWzuFnbZ/sPm5rVUOw6fOtDxYabGmqTU5RZgX1iRFEyQ6CmOgqFUMKmsqzZQ3WpKZ0Te+QB8X/c5dfYq/0KRxuSoTBcQvB0N4wjVR5j2jJKJXHPb2m/HHeUhy+pNvO5rwqKUJIg8SnEl6Vxv77zzjs/7lStXUlBQwNatWznrrLO8+61WK4WFhbr1my5lchpTE289KFkO/wCS3dH5FQ7stX+OQ7aRachpW2C048NIizUpSPmAFiS1Iqkzah7coR6yalxEEcQnRTxjrX1fYfpgCtOHUNm0l901/2ZS4VxlbiY1gd0qCOp+izWSgXxzCccdhzjuOET/1NNi1nW87mtp7QvjtjhcurUp0B+xhEl8STqLUmc8actzcnJ89n/wwQcUFBQwePBgbrjhBqqqAvxy7oDNZqO+vt5nC0R3iFtQyglnBZXO/YDEiNQzTy0OHEiUBdwXJoBbobVEtUgKZ90xSP5bKNSWVzIGFa44VXmW2vcNzTkbo2SmzlbJkSYVi+cqRcOiuarQKvzDnFeeuQRoW37HKdu19aEDetzXlNzTUs1tMWotdiGUBIJgJLVQkmWZRYsWceaZZzJy5Ejv/lmzZvHSSy/x3nvv8Ze//IXPP/+cc889N+QUwaVLl5Kdne3dSkpKvMecsoNWuTmq55JsyLLMXvsWAErMQ8g25QUuGOBhrVpsBrI+KRESgcRIsHpqRI4SlLYXbbEUhBRTBgN7Tgbg+9rNyIFmkil166n5ewYpq2sCygh+zKQaMhibPoPp2Ve3JUqNA3rd10Ld0zykWtqEUrNDuN4EgmAkneutIzfffDNffvklH3/8sc/+OXPmeF+PHDmSCRMmUFZWxltvvcUPf/jDgG0tXryYRYsWed/X19d7byxVHGE3WyiQ+zBaiix4MpGQ3TKS2gdRu6WgwrWfBvcJTJgZYB3bfkyZ2y1Qe0GtSWrikkIJKT0fxGrx9BHMRafF3RZgf8DUASHcZWVZY7G7WuibNQ7JYNR/un+wGXB6oTVVQJg2450aQK/7Wqh7moc0i8eiFMW/kyByxKy3uJK0QumWW27hzTff5MMPP6RPn9DT9YuKiigrK2Pfvn1By1itVm+yqs6coM28nUaG9gF3IVyyk332bQD0s47Gakw9dTCM201xbJJfG2HiktSKJD3WOAN14kKJYIowNkmNWDJgZEjOtNDllKYLiDR+KhSxTkAZR/S8r4W6p3k45XoTFqVERsQoxZekc73JsszNN9/Mq6++ynvvvUe/fv3C1qmpqeHQoUMUFRWp7w/ZK5RyKFBdPybEOBBWQqK/ZTQ9Db0otQwPUTCMhalzuWDWpHCuJr1FUsdZcEqn9quZNRfBYreKymqkxRk4Li8iVMQq6Rr/F8HsN7fsYl/LVrY0vINLjo2AiPV9zYPXouRwJUZAvUCQgCSdULrpppt48cUXWbVqFZmZmVRWVlJZWUlLSwsAjY2N3HbbbWzatIkDBw7wwQcfcOmll5KXl8cPfvAD1f210IydViQkssnV+3SSEoNkpMQ8hNMzLsIomTw7OxY49VpJELdSwomFcCIpVMyQXikClLYTbixK9yuNVwpR1+m2s6XyVT46vJJWV5N/uWjEKiUwkmTisO1rapxHqHfVxKTPWN/XPKS0CyW3DDancL8lNCI1QNxIOqH0xBNPUFdXx/Tp0ykqKvJua9asAcBoNPLVV18xe/ZsBg8ezPz58xk8eDCbNm0iMzNTdX+N1AKQQTbGzlmMBaoIlbRSszUpeGe+78MJpGigVDAFq6umn06oCe42SmZcbgdu2UV5/Q7l/UaC2qDuoO3ofwuTJIkepl4A1DpDz5bVi1jf1zykmU/d08TMtwRG5FGKK0kXoxTOPJyamsq6det066+ROgAy6aFbm3EhglxKnoeXLMvsaH2ffFMJxab+GDD4PtgCJZmE0EHcygfRNgYNC+MqtohEi1DB2qDPgrRKxxGgPQnomz2Ok1VHONTwJQN6TDxlKdQDPYK69V7SJEx7PUwFVDkOUus8Rol1iLp+NRDr+5oHk9GAxWjA7nLT4nDRU/ceBILkJ+ksSrGmwSuUEvwWEoP4gpNUc9x1iL22zbgI8utTy3T4cNYkNS43vURS59ijUJtStMTNKHVxReKCAwrSBpBqysLhbuVo4x5l4+vC7rceprZ4xFpnVZeP3Ukxtz0GmoVFKWHxBHNHsgm0I4RSGIopo5RB9CRInqBuxBHHNwAUmvphNnZYxiXoQz7AbDef4+oeqmEf/JGKJK1xSmrqRRBkHLYdrSJFkpAkA2VZYwE4WL89NuJAL1EVBfdblqkACQm73IJNbtG9/UTCk527VWTnTlyE6y2uCKEUhnyKGSyNIUPKjvdQ4opdtnHMdRCAPubB/gX0cruptSYFQ+2Csbo9tBW0pVYsRTA2NVal3hkjMEhGGh01NDiqlY0tEAFnGuow+y2GySeNkok0QxYATa46TW0kC56Zb8KiJBAERgglgSIqXPtx4ybTkEOWoW32n+YM24H2hXkIqrImBVrSJFjf8QrkDnU8EjdXBFYlszGFgrQBAIHdb0HqJS1hPnPpxh6YMOOQW2M0oPiQYvYIJZFLKVERrrf4knTB3LGmlmp6yHmYJHO8hxJXPNakYtMAZQIpEreb2mNaHtaxesBHEnytEwGTUAahb9Y4CtIGUJA2MDZjT4DrE4xR6WdjxIQLB7uaPw5fIUnxxCi1OkR6gIRFZOaOK8KiFIYd/IfDfB/vYSgjSg+cVrmZWvdxAHqZynwPhlu2pDOBXDDBlisJNNOt07GgbYUqF0YkyZKkeFNEKOtRvKxKQcr0SCmmOGMYJkOQHwaRLPkSzYVyoxCnZDJY1VtNkxCLqe3aOaO53IxAkMQIi5ICuszSJRpTBDhlB3mG3rhwkmJIVxZjBJ0ST+pgCQrXRjiRpEAgqaVjHSmcUA1mPQm2X+nyIUrGqcSqpNW6EyTtQCTCXZKkwAHl3Wg5k1hhNrZ9n+0i4WTiIixKcUUIJQWkkBbvIcSVDEM246znBBcSasWXEteaFmtSqDIh6mgRSMHa0V0sKUFn95XD1crB+u002Ks5reASkt6mEur6hBBesuxmR+O7NDpPRnFw8cfSLpQcLiGUEhWx1lt8EUJJAamkx3sI8cdg8HlgKnVJKHZdaJkppsZ6FQS9RFLn9sIKJqVotSpFUEaSDHxXuxkZF02Ok2SYe6octEoSNE5JkgzUO6tplQMs69KF8FqUXIn3NxC0IyxKcUXEKIXBiAmzZIn3MJSj5wMasMktyh4U4dZ3g9DxSUrRKXBbVYyRBkK2rTZeSQkK6ipd+sVksJCT0rZyfXXLAf8ykcQpJRnpxq6fFsQTo+QQrjeBICCKLEo5OTmqGpUkiW3btlFWVha+cIKT0s2tSYece9nv2kWZaRhDUs7Qr+FQFqJQbrdA9UNZk4KIpFgQ0hWnxgWnNS4nAktNTmoJNa0HqbUdBcZq6yvgueiwnEnQMRja4vB0JMXQReITQ2AWrrfER1iU4ooioVRbW8uyZcvIzg7/60qWZW688UZcrq6RvCyF1HgPIarIbhkphCA5KbctCpph6OF/MJSQUbImW6h9gY7rEPytWCSFsrWqeJ5oEktK0MtdFaSdntYiAGpbj8bNNZYIAd0WQ9ePT7SY2r4TIpg7cRExSvFFcYzS3LlzKSgoUFT2lltu0TygRKOI0ngPIW7IspsGd1sga7YxP3wFtUJGDxeOxtik4O2pLKPg2aIoyLsjWq1KCgSN0pxKWdZCJCRaXY20OBtINXZ9y0ogrIau/UMJhEVJIAiHohglt9utWCQBNDQ00L9/f82DSiTyKIr3EOJGs9yICycGjKRLbcs5+MUZRSF/TVg05gkKaU0yoC1iL9LTT8Q8PZKEyWAm09L2na+zVfiXSbY4pZB/++DHrN3BoiSCuROfOK31tnz5cvr160dKSgrjx4/no48+Cll+48aNjB8/npSUFPr378+TTz7pc3z69OlIkuS3XXzxxd4yS5Ys8TteWFio7QR0QgRzC4JSL58AIFPqiaRBEPnMeOsosBQEOnvjk3SaNRdWJEWCApEVlbioCBJLKiHTkodJsuBwxWAJj0QUjIBVSsNI187KbzYJi1KiE48lTNasWcPChQu5/fbb2b59O9OmTWPWrFmUl5cHLL9//34uuugipk2bxvbt2/nv//5vfvWrX/GPf/zDW+bVV1+loqLCu+3cuROj0ciVV17p09aIESN8yn311VfqT0BHNKUHOHLkCP/5z3+oqqrC3Skw81e/+pUuA0sUnDgwdfEbZTAa291umQYV08O1Wpi0pAcIZglQ89BN1J8KeiZ/1FhneO55jMyb2SZ4lbSZoNP8I6GnuZDpPeby79oX4j2UqCESTgoC8dBDD3Hddddx/fXXA7Bs2TLWrVvHE088wdKlS/3KP/nkk5SWlrJs2TIAhg0bxpYtW/jzn//MFVdcAfhPDHv55ZdJS0vzE0omkynuVqSOqBZKK1euZMGCBVgsFnJzc32sBpIkdTmh1ERD8iWclGVdfqE3y42A/xRpXZd10CM7dxiCWnP0FkkGQsYsBY1VUiowYpyV2mjocHvQU7hFc+abQDXm9h8cwqKUwOg0662+vt5nt9VqxWq1+hW32+1s3bqV3//+9z77Z86cySeffBKwi02bNjFz5kyffRdccAErVqzA4XBgNvsbHFasWMHcuXNJT/edXb5v3z6Ki4uxWq1MnDiR+++/P67hPKofFXfddRd33XUXdXV1HDhwgP3793u3779PkjXRVNBdrUkAhcYy+pqG08MQJj5N6TT+BHWv6EqsLVRahGOyxRcJooqh/fPQxYyBXQudYpRKSkrIzs72boEsQwDV1dW4XC569erls79Xr15UVlYGrFNZWRmwvNPppLq62q/85s2b2blzp9di5WHixIk8//zzrFu3jr/97W9UVlYyZcoUampqgl2dqKPaotTc3MzcuXMxRHOBywTC1I2Tl/cyllIolUV3MVOtKEw/EDNrUue2g/w4VzUDLs6uLFmW2XrsVWyuJk4vvBKLISXmYwiaIiCGfNH4QVz7jzaer4hbKKUuz6FDh8jKyvK+D2RN6khn74EsyyE9CoHKB9oPbdakkSNHcsYZvvn5Zs2a5X09atQoJk+ezIABA3juuedYtGhRyPFGC9WPi+uuu45XXnklGmNJSEwkUVbuREGJxSJEGdWB3GpJQN0XVWubxrYlSaLOdowGezU2V5Is4xGFWZiNrq691pvUvjiRkEmJi6TDBpCVleWzBRNKeXl5GI1GP+tRVVWVn9XIQ2FhYcDyJpOJ3Nxcn/3Nzc28/PLLftakQKSnpzNq1Cj27dsXtmy0UG0uWbp0KZdccgnvvPMOo0aN8vM7PvTQQ7oNLhEwYoz3EPRFdit6mLhkJ41yHRbJSpohRss4RGNpj65GrOKU2q1ZVmM6DncrNlcTmWbfm12sY6bihaGr3QM64fldIgxKCUyMM3NbLBbGjx/Phg0b+MEPfuDdv2HDBmbPnh2wzuTJk/nnP//ps2/9+vVMmDDBTyf83//9HzabjZ/+9Kdhx2Kz2dizZw/Tpk1TdxI6oloo3X///axbt44hQ4YA+AVzC7oGzXI9m+3vYCGF6aar/AuIOJfQ6OV+izNWYzqNjhpsziSxKEUBg2To0uYWySuUuvBJJjnxyMy9aNEi5s2bx4QJE5g8eTJPP/005eXlLFiwAIDFixdz5MgRnn/+eQAWLFjAX//6VxYtWsQNN9zApk2bWLFiBatXr/Zre8WKFVx++eV+liaA2267jUsvvZTS0lKqqqq47777qK+vZ/78+epPQidUC6WHHnqIZ555hmuvvTYKw9GX5cuX8+CDD1JRUcGIESNYtmxZXFVpMuGQHQDKFwSO8oKuWvoIGJ+UiG43vdExtslkaDPNu9o/DwlDDK1ZRimxLEp639eE600QiDlz5lBTU8O9995LRUUFI0eOZO3atd41XCsqKnxyKvXr14+1a9dy66238vjjj1NcXMyjjz7qTQ3g4ZtvvuHjjz9m/fr1Afs9fPgwP/7xj6muriY/P59Jkybx6aefxnXtWNVCyWq1MnXq1GiMRVc8ybKWL1/O1KlTeeqpp5g1axa7d++mtLT7LkuiFCd2oEOMVqJaCxN1XF0EQ7tIcMvOOI8kfiSS6y0a9zVhUUoC4rQo7o033siNN94Y8Nizzz7rt+/ss89m27ZtIdscPHhwyM/ayy+/rGqMsUD17+tf//rXPPbYY9EYi650TJY1bNgwli1bRklJCU888US8h5YUyO1+I4MewbGJOGtOCZLku3VDjFLbbymX3DUWudaCJCXOzNdo3Nc8IRPdINwsuYnx8iWCU6i+A2zevJn33nuPf/3rX4wYMcIvSOvVV1/VbXBa0ZIsy2azYbPZvO87J+YSJAHdVMxEE5PBitmQoo9gTlIUu5+jjNr7mtJ7mudbI56nAkFgVAulHj168MMf/jAaY9ENLcmyli5dyj333BOL4QkEScPQ3LMZmnt225tu6poZmXEWx07uj/cwVN/XlN7TDML1lvDEI5hbcApNS5gkC2qSZS1evNgnmVV9fT0lJSVRHZ9AZ3RaukUg6EiVPfAioPFC6X1N6T3NU1fopAQmTjFKgjYSx/muI1qSZQVb86a7kiZlUWYcRoahR+SNud3JGacknhwcqv+SBkc1hemDybH2jvdw4sKh1t3xHgKg/r4m7mkCgT4oenqNGzeOkyeVZ6c988wzOXLkiOZBRUrHZFkd2bBhA1OmTInTqJKLTENPBpvH0ds0oG1HooqGRB1XF6G65QDl9TtotMdvnaV4406QQPZo3ddc7VHcRpEbLWHxuN4i2QTaUWRR2rFjB1988QU5OTmKGt2xY4dPEGE8CJcsS5BAKHWZqXStSbLsn0vJTdfPpaSjeHS4WwEwGRIjoNlLDKdouUkMoQTRua8JoZQECNdbXFHsejvvvPMUB/slQobucMmylCJ300+YLMu00oRLdpIh5fj/Td2yb3ZuER/kS5Cs3EDSZOUGsLmagbYM3d2VRLEogX73tY64ZCGUBIJQKBJK+/ern/HRp08f1XX0JlSyLKUk0q9JXVA4zduNi49tbwAwPe0qLMRg5fhgYkuIsFPEONmNZzFcqzEj7mOJF64EuwfocV/riNeiJL5jCYuY9RZfFAmleKYOjzcOHFhJjfcwYo5RMmEhBTuttLqbsBhVCKXO1iaVZSS3jGyQoieQEtH9Fk0rk5a2ZRmX24HT3eZCtxrTdB5UlJBDmPI0kkgWpWjgFUpGIZQSFuF6iyuJ9rhIOIwJtHxBrEmV2qwIzXJjnEcSgI7WDDnIa0K4ufR/nipqW5XbLc4uuhZnW4JCo2T2rvkWa+Kd20eWZe9yPl0Vp7AoJT6RZOUW2bkjRgilMJhJsCDWGOIRSi3uhtAFQ7lgQoiYLkk0BVggNFxTSaHLrNlZC0C6OUCMWjdibPp58R5CVHGLYG6BICRdMo+SQB/SpEwAmtx1PvtDJe5UjVr3mgZ3XMDZb6C/Cy6MSApqTVIqdmIcE1SQNoDzSm9sm/mmVeQGqueOtZrUjiRJ9DQXxnsYUcUphFLCI2KU4ouwKIWhlZZ4D0E9OomYTENPABrcJ5RX0hojEu5BHPCBG6HwgNhbgJSipzCJoI7ZmEKauUf0+hbEHXf7380khFLiIlxvcUW1ULr22mv58MMPozGWhKSK+CXOjDceodQo12kKaPWJL+loRQj1QG0/5nUPKX34hikXMjYoUrHkDt9GVFICKGkzWcRLgo6zwXmCQ7a98R5GVHG62q69QQglgSAgqoVSQ0MDM2fOZNCgQdx///1xzcAdC1ppjvcQ4kYK6ZQahzLMfPqpfFKd3SZRmGUUFo0CIaxY0nIqkZ5+IgoEWcbhauWzo2vYe+JD5EB/42RLDRDybx/8WI3jMN+0bI7CgBIHj0VJBHMnLpIsR7wJtKNaKP3jH//gyJEj3Hzzzbzyyiv07duXWbNm8fe//x2HwxGNMcaV7iyUJEliqGUCfUyDMEoKwtnUfhn1eNgGm/2muT3Cix+3wnLtqL5JqXEzhqvXeSwKr3mtrYKTtiMca/oWSWHura6ITU5C17tKbM62D7LF1H3/zgmPcL3FFU3fjNzcXH7961+zfft2Nm/ezMCBA5k3bx7FxcXceuut7Nu3T+9xxo2uLpSkMOb2kNOzQz10FU7fD7ov0HEdBIdi0eIOsakgZH+RCDu9fiEGaafWdhSAHinFcbN6Bf3sxdCaZXd37e8/gM3Z5la3CqEkEAQkom9GRUUF69evZ/369RiNRi666CJ27drF8OHDefjhh/UaY1xpoSnuuVziiSzL1LtPcNCxG9mtY+K9UIKpc5xSuPqhrEqRiKUI0SSStFqT1PShgJqWQwD0tBZr7yvWM96i4AZucTfp3mai4bEoCaGUuIhFceOL6m+Gw+HgH//4B5dccgllZWW88sor3HrrrVRUVPDcc8+xfv16XnjhBe69995ojDfmyLhxJFPCOb3iDNofzjIyW2wb2GvfQn2o2W8+YiXIA0uPh6ROs7qi7bfXTSQpRS+3myxjd7V4LUp5af38yyRbfFIENLlq4z2EqGNztH0vU8zdN7luwiNcb3FFdR6loqIi3G43P/7xj9m8eTOnnXaaX5kLLriAHj166DC8xKCFJizEJzNxvDFIBnoaenHcfZjjrsNkm/IB5bmUwpbzLGUSLj9SoOMd93VcEkVFrqWgOZY0orv4CiRK9JrtFqRMdct+ADIt+aSaMqPvektQi63d3Yq9W8QotbvezMKiJBAEQrVQevjhh7nyyitJSQm+9lfPnj01LaSbiAxiDCkkyTpXUaKXsZTj7sMcc5Yz0DrWv4DsVrzYblv5EELGc6z9f++6b0rrBysToo5H3EQqmBSJpDhZk9RQ1dz23c1P7ZewIkYVGuPsPNYkK2nYunCsoseiZDUJi1KiIhJOxhfVPyHmzZsXUiR1NXrTF6vURc5X4+ylfGNvJAw0ybU0umtDu9CUxg4F2xeKcG10fugFilcK0acWd5yq6bdqRZJWa1IAlLrdAKzGdEwGKwVp/ZU1rsff1q96/AO5s0x5TMy8lKHpk2PWZzwQwdxJgHC9xRWxhElXIkp5UMySlVxDIdXuoxxzHiTD0uPUwY4ur46vg+F2g6HTDTmY+02LVanzGMK57AKgu/tMS7ySUpGkVaSEKDMsdzqDe07FECglRCRCJckCuY0Y6GEqwCknUYyiBjzB3CJGKXERFqX4In5ChKGOExyVD8R7GHGnl7EMgKOOb5XNAuzw4ApYXuu0eb2sF7FyKSWA60pp7qSOGA1mYpJ+MAGuT3en1SEsSgJBKMQ3Iwzb+YjdbMHRxX9VhqOXsQwTZpyygxa5AQiTYykQoUROmId5wId9sPxMgVxwwfqO1oM6XNuhjkfbmhRkPDZXM7W2CnV/12QWOmE+c9+2bKPctgeH2xajAcWHU+kBhEUpYRGut7giXG9hsJKKjRYaqCWHgngPJ26YJBPjU2aQYeiJ0RDgY9MxoDvYbDQPgdxv3nZkn2BuLa6zoP0Gq+d52Ovhuox0RpqOcUmgQGB2oLx+O9/VfkZx+jBG51+obGyBiDB/kq7xSRqvnVO2813rdgDysq7U1Eay4BVKYtZbQiPcZ/FDfDPCkEE2AA3UxncgCUC2MQ+j1P6rs+ODL9gDLBL3WwBUWZWCjUuJlUerKy8aIklNOxFYk1xuB+X1XwJQkD5AWzsa+tWnHf3jk2odxwBINWRiMXSRyRxBsAnXm0AQEvHNCENmsgilWCxo2S6OZNlNg+tkkDJhHn5K3G9ykP+DtaOnWOpYRs2mBC0iKQKXmxprUkXT1zjcLaSYsihIG6hsfFGY7ZYo1DqrAOhh6vpW5Fbhekt81N6PtN6jBAERQikMmfQAkkAohSOChU07WoNa3c38p/kNNresxSHbfC1FHX/Zh4oZAvUzoNrb83n4RyqWYhnQrZdI0htZRpbdHKjbBkBZ1mkY9A7j1mO2m95utzDt1TrbLEo9jF1bKNmcLlzt1yLNKoRSoiKWMIkvSSWUHA4Hv/vd7xg1ahTp6ekUFxdzzTXXcPToUZ9y06dPR5Ikn23u3Lma+vS43pqoxyk7Ij6HZMcqpWKQjLhwUm7fo6puSPdbOKtSB9TkBPISSozEK6Ab1IukqFiTvqHRUYPJYKVPxshgI9WXIGNRP0FAf7ebLMvUxdCiFI/7mofGVqf3dbpFhKwKBIFIKqHU3NzMtm3buPPOO9m2bRuvvvoq33zzDZdddplf2RtuuIGKigrv9tRTT2nq00oqqaQDcJLjEY2/KyBJEv3MbQ/Tg7ZdOOT2GUEdH8zh1n3ziiJtVqWg+zofDySWwgmmSEWT0nbCjUXp/khEkizjlt18e/ITAPplT8BsCLBUTzdzuzW6anDiwIiJDGNO1PuLx33NQ6OtTSilW4wYw+VAE8QPWYdNoJmk+gmRnZ3Nhg0bfPY99thjnHHGGZSXl1NaWurdn5aWRmFhoS79DmYMZixkEf2bpiZiEZ/UgUJjGfsNX9HoruV72xcMTZ0YuGC42W+dy3n+75yAMsBsNZ8klB2Pdy4baKZbuMSYnR/44dagU0soi1iEIkktrc4GJMmA2ZBKWVaA5WkiRY/ZblqIoK3G9vi7bFM+BskQ9WTg8bqvATS0W5QyUpLqUdDtkNxtWyT1BdpJKotSIOrq6pAkyW8R3pdeeom8vDxGjBjBbbfdRkNDQ8h2bDYb9fX1PpuHfKmYHlIehgjifLoSkmRgsGUCAOX2PTS56k4dDGhBCjD7TbWLxb+eonilYH2FsugE6luPAMlwfaoRSUFQY00CSDNnc2bva5hYdBUmyexfLhrWJC3XTU/CtFdkGcA52T9leNpUfftVgR73tVD3NA8ei1KGVQglgSAYSf3taG1t5fe//z1XX301WVlZ3v0/+clP6NevH4WFhezcuZPFixfzxRdf+P1q68jSpUu55557YjHs5KY9B1KuoYhcYxE1rgq+ad3C2PTzwi9nEiqnUjirUkc67FNlWYLA1iUIv/RKJGiZCRjuWIQuN596koEMcxSspdFcsgSiEp/kadNisGIhgBsyBuh1X1NyT2v0WpQCiGRB4hCp+0y43iIioU0kL730EhkZGd7to48+8h5zOBzMnTsXt9vN8uXLferdcMMNnH/++YwcOZK5c+fy97//nXfffZdt27YF7Wvx4sXU1dV5t0OHDvkcPyEf42t5OzVypb4nGUekCMSBJEntViUJl+zAJTsDFwzwoNac0TuU1SjQ/kBWn2D1PNYevawXStuLpkgKQaO9hu9qN+MO9neDmFqTEiHJZKyI1X0t3D0NOlqUxIy3RCZes96WL19Ov379SElJYfz48T6f1UBs3LiR8ePHk5KSQv/+/XnyySd9jj/77LN+ExIkSaK1tTWifqNNQluULrvsMiZOPBX/0rt3b6DtZnLVVVexf/9+3nvvPZ9fXYEYN24cZrOZffv2MW7cuIBlrFYrVmvwX5DHqeAw3yEjk4t+MQLJTKYxh4mpF5FlykfqOKW8Y5bukPs81qMwVqVAdTrgt2huuDilYNYlD4EezqFEZTQe5nqIpCCiRpZldtf8mxOth2l1NjAi91z/cpEKxkS1JoU5rwOtOzlmP0BZynAKLf219RGGWN3Xwt3TABqE6y05iHSiiYa6a9asYeHChSxfvpypU6fy1FNPMWvWLHbv3u0TN+dh//79XHTRRdxwww28+OKL/Oc//+HGG28kPz+fK664wlsuKyuLvXv3+tRNSTmV1FVtv7Egob8dmZmZZGZm+uzz3Ez27dvH+++/T25ubth2du3ahcPhoKioSPNYcijgEN9ykirNbUQFJYHcUYytyjbm+Y5BoftNlmWkYEuUBCivygXX6VjA9559oOwa6mVp0iqQlNQNV7Z938H67ZxoPYxRMtEve7wubUaCrkHckSC7qXKUU+s6RqG7X9S6SaT7mtf1ZhWuN4EvDz30ENdddx3XX389AMuWLWPdunU88cQTLF261K/8k08+SWlpKcuWLQNg2LBhbNmyhT//+c8+QkmSpJATEtT2GwsS2vXWGafTyY9+9CO2bNnCSy+9hMvlorKyksrKSuz2tkVrv/vuO+699162bNnCgQMHWLt2LVdeeSVjx45l6lTtwZk9abOaNNNIs9yo1yl1DdxuHLKdXS3/ocbZnvslUPLJUFYAjwUiVLB3GBecn2UlkNstWLt6pAYIhZL2NYgkNfmSABrtJ/jmZJsZe0jO2aSZsv0LRcuaFIsg7lB9hGnP4bZR62xzreebS9T3rZF43tcabW254TLFrLeERi/XW+fgfpst8ILPdrudrVu3MnPmTJ/9M2fO5JNPPglYZ9OmTX7lL7jgArZs2YLDcSoHYWNjI2VlZfTp04dLLrmE7du3R9RvLEgqoXT48GHefPNNDh8+zGmnnUZRUZF381xEi8XCv//9by644AKGDBnCr371K2bOnMm7776L0ajdD2+SzPQkH4AqjuhyPslEuLXa9tu+4LB9L182b8TmbjlVJmBWbtm3zWBxRJ7/VazxFlYsBdvX8ZheoklpW6HKhDimSiTJMm7ZxVfH38Ytu8hLLaMkY1TocYVrN16WoCgFcdc4jyAjk27IJs0Y2u2lJ/G8r52yKAmhlNDIOmxASUkJ2dnZ3i2Yhaa6uhqXy0WvXr189vfq1YvKysBxupWVlQHLO51OqqurARg6dCjPPvssb775JqtXryYlJYWpU6eyb98+zf3GgqT6dvTt2zesmb6kpISNGzdGpf8C+nCCKqo4TF+GRKWPZGWAdSzHnYdpcteys2kj4zIu8PVoeeOPAsQqefDEKgU8FsAFF+S1R0D4zIYDdXFKHctEC40WJlUxSR327z3xIXX2Y5gMVkbmzmxzfXZG69p43vrqrEmJFMR93NEW7BxLaxLE977mjVESFqVuwaFDh3xi38LFsHW+R3hDJlSU77h/0qRJTJo0yXt86tSpjBs3jscee4xHH31Uc7/RJqksSvEmn2IA6jlJi9wU59HEgGAPqwAPQ6NkYnTqdAwYqXYeYX/rF2FcbUGsSmpccKFeo8K6FG23W7A+NRzXKpJanY0cadgFwKi8C0gxZfiXVSNOks2aFObcZFmm2nEYgLwYC6V40iSCuZMCvVxvWVlZPlswoZSXl4fRaPSz4lRVVflZezwUFhYGLG8ymYLG3BkMBk4//XSvRUlLv7FACCUVWKUUepJPGhnYaAlfoTvhdpNp7MnQlLZfC/tat3LMfqD9WAjRE4pQLrhIxFI4N1c0RIAaN1wQtIokgBRTBpN7/4ThuefSK22Af1mVM+cCEk9rUiTIbk46K7HLrZgw09PUKdA01uOJIZ70ACJGKcHpeP/QuqnAYrEwfvx4vxxdGzZsYMqUKQHrTJ482a/8+vXrmTBhAmZz4MkCsiyzY8cO74QELf3GAvHtUMkYpmDEFFczYCLTxzKYBvcJDtn38FXTRlINGWSZOy0s6nG/BZsBF8gF5z0mn5pJp8ANBwFmxHnKQHDXW+cbi9q/t1ZRGAStIqmjyTrd3JN0Uw/dxhSzNrxthbAmRRDEDW0W0QJzWfuiz93n96OIURIEY9GiRcybN48JEyYwefJknn76acrLy1mwYAHQlqfryJEjPP/88wAsWLCAv/71ryxatIgbbriBTZs2sWLFClavXu1t85577mHSpEkMGjSI+vp6Hn30UXbs2MHjjz+uuN94IL4dKgm4zEO8SASx1kmUAAxNmUizu54G1wncnihCv/XbgsQqdRZLAdpXLJYgeNxSx/46lAt5ntFAq0AKVbd9v8PVytZjrzOo5xRyU0tDWIJUWI3UWpOCkEjWJGhb121sxvn+4+rC1iQQeZSShUiSRnrqq2XOnDnU1NRw7733UlFRwciRI1m7di1lZWUAVFRUUF5e7i3fr18/1q5dy6233srjjz9OcXExjz76qE9qgNraWn7+859TWVlJdnY2Y8eO5cMPP+SMM85Q3G88kOSESWKSWNTX15Odnc10ZgcURy7ZhZ1WUqX0OIyuHaVCKcgv5ICZuTuX7VDGx4rW0eLj2d9hnxM7TtlBqinzVLuetjzlPX217/e2H6A9Oh/rNDaf/Z2vS4Dr5CeYwpTXFQVfubCZtsMIGbfsZEvlq5xoPUyKMZOz+lyLQQrwMEwkl1vI8UTJmhQu5skt45Tt/Lv+Rerq6sImgUxkPPe0judxxh/eparBxlu/OpMRxdlxHmFiE+j6xarPyRfei8mcEr5CEJyOVja9c1fSf4bjRfexMetItVzJh/yTL9kU76EkFh0emGbJSqrhVMBwreMYdmd7XJc39qi9fLjA7o50fChGsCiu5JZDu7P0jlVS0WZYK1IYkeRyO9l+7J/tSSUtjCu4LHKRFAviZE06avuWZpf/grFd3ZoEHWKURMJJgSAoQihpIIueuHHTQC318sl4Dydm+FgCVLhaahxH+LzhLbY2vI3d3Rq+Qkc6z4Lr/DqUWAr1vp2QgqljvXABkhEGUnrGocnV1uGYy+1ke9WbHG/Zj0EyMa7gMrKsBf7lIwgM921HR2tSMKIYm2R3t7Cz+UM+qn+FZleD+rElMS63TLPdBYj0AIlOvNZ6E7QhhJIGLJKVXrStz3SE7+M8mgQgwMPK+0B0y1gNaRglM/WuajbXvUmrq0m5VQm0i6Vg77UIpmBEaHlS1G84K5JXJDnYduwNqlsOYJRMjC+4nNzUAFPd4ySSQhIna1KF/XtkZLKMeaQZOywr0o2sSQDpYlHcxKbjIttaN4FmhFDSSG/aFsyspByn7AhTuhsR4OGZYezJGZkXYZXSaXLV8lndGzS5aoM2ETRjd+d9WsWSZ18IwaRZOClAcfvhRFinY+UNX1DTehCjZGZ8rx/ERySFQFMAdxStSQBH7d8CUGwZqKh8V8IjlCwmA1aTEEoJjazDJtCMEEoa6UEeaWTiwkUlh+I9nMTGLZNh7MnEzItJM2TR6m7ks9o3OWHvtC5cqNlXHR/MSsWSAtdbODESqXDqXF9RG0oEUoDjZVnjKE4fxoRePyAnpY9/Pb1EUigSweWmsN0653HqXdVIGCi09D91vJv8+vakBsgUM94EgpAIoaQRSZLoTdsK413a/RbBQ6PzwzHVmMkZWZeRZczDIbeype5f1NmPtRcO4oJre9N+TKVY6nzM816DYPIQSPiE2lShZAydjp9sPYLL3fbAMyAxOv9Ceqb09q+nZ+B2orvcFLZ50NaWqbzI0h+rIVX/cSQ4ngVx04VQSngkIoxRivcJJDlCKEVAEWVIGGiglia5ewWCAsGFSwiskpUzsi6l0NKffEsZWab8oGUDWiH0EEuefaH2x2rml9L+OpWRZTffntzEZxVr+PrEB9rcUCrceqfaUi+SEsrl1t5uq7uJSnvbD5wy6wjl9bsQDSLZZPIQbrKIkk2gGfENiQCLZGWEPIEsckiTAqydlYyEWrSWtode2KzkgTJrd0gSaZRMjE4/Fzcub0Zuh2zH5m4mw5zrU9Yva3fn9jvu9ynTfmMItTBuqP0dj3mINL+STq4sm6uZL6vepqb1YHsRN7LsRur8d4twBp0fesYlhawUJZdbBxpcJzFKZjKNOWSZ8nRpM9loFAviCgSKEN+QCCmUSuM9hIQmoLBqf6gbO3z89jT+h2O27xmSMZmS1JFIbnwTSrY1pk4sgW8Wb89xUCeYOpeJNiH6qWzax+7qf2N3N2OUTAzPPY/eGcP9C8ZSJGmJS4qHy62DAMs39+Hs7LnY3R3WbOxG1iQQMUrJRDwycwtOIb4hOuKQ7ZglS7yHoRjZLQfOzq25QTm00OgsWtr3uSQXdncLblzsafyYKtsBhmWeRbop23ctuM59hBJLENy6FKhM5/2BjkWTMCLM7mphd817VDbtBSDDnMuY/IvItASwhiSzSIpyAHdHTJIZk7H7JloUFqUkQiaymWtCKEWEiFHSAafs4Et5Ex+zFrtsi/dwYkuwh2iH/QEfmh0eXEbJxPisWQxNn4IBIzWOw3xyYg3fNW3B7XL6t+ETjxQiTqrz+2Cz6kLN+oqmj19F27LspqblIBIS/bPPYErx1f4iKVy+lBiJpJBESyQptAbJssxJR6X/Z7KbWZNAxCgJBEoR3xAdMGKihSZcODnEtwxgRPhKyUQnS5CiOCWFbXn2SQaJstSR5FlL2dPwMTWOw3zb9DlHW79hbM9ZZJhy1FuWAr0PZF3ylAPtrrdg9SIQWPW2KjLNeUiShNWYxqi8C7Aa08i2FvoW1LouXLhjGkVSzJePVOFyq3YeYlvjBnoYCzgj85K2z1M3FEkgLErJhCTLSBF8ryKpKxAWJV2QJIm+DAXgEN927wSUwaw9Acv6H083ZDE++yJGZ56HRUrFKdtJ4VSgvGLLUudygSwIoSxMam8sOs40qbcdZ/uxN/nk6ItUNX/n3V+Q1j+5RVIcZ7m1NSOzr2UbAD1MvbSL/S5Ck03EKCUNbh02gWbEN0QnCuhNGpk008ARvqeMIfEeUuwINMutEz7WoCBWJc8+CShKGUiepYQmdz0mgxncMrIks7P+AwpTBpJvLQ09G66t09DWJU+/4D8eT3kP0X6oyjJ1tmN8V/sZVS0ecSTR4DhOLzpljVaatFLr8WQRSSqpchykwVWDETP9UkaHH5d3CF3z13iDTbjeBAIliG+ITkiSRF95CLvZwkH20UceiFFK0mUBwqQIiFpfnQSU2WClh+FUnqWq1v0cbfmaoy1fk2HKoV/6WIpSB2HAqE4sgTrB1LFeZ7QIqA5tybLMseZvKW/4ghOtpzK8F6YPYWD2RDIsuf5jVNi2puPJJJJUWZPcfNuyFYCylBFYDCndWiTBqVlvGSndN6A9WRCut/gihJKOFFLKd+zCRguH+bZrWZXUxCkFsfIEtSoFEmY+s9jajmeZCihLHc3h1t00Ok/wVd2/+br+Y4pSB9MnbRhZloJTfYJv3BKoE0wQXDR1HmcESJLEgfpt1NqOAhJF6UMYkH2GeoGkZCzJJJLCoUIkAVQ49tPorsUkWehrHam93y5Eo7AoJQ9i1ltcEd8QHTFIBgbII9jNFo5ygFJ5cPeJg1DgflPWjuybJLKDWEo1ZjA0cyoD0idwqHUX5c07sbmbKG/+ivLmr5iaN9d3Jlgg6xIoE0yesXjQIY1Cq7ORyqZvqGj+hrH5l5Biaou96p89gVpbBSWZo0k1Zalf7TuaAilM/aiJJB1/AbtlN9+1xyb1s47CbLB2e2sSdMijJIK5E59IZ9528c9ytEm6YO5rr70WSZJ8tkmTJvmUsdls3HLLLeTl5ZGens5ll13G4cOHYzK+IsoYwmmcwXlJIZLkWMz4CZYqwGcRW3eQ/f5lzAYr/dPGcXb+PMb3vITClAFkmwvIMOV4y++p+4g9dR9R1fwdDner73gCpisIcyPyiBcVIsbldlLTUs7eEx/ynyMv8MHhv/H1yY3U2SqobP7GW64gpT+Ds6eSashUZz1ScvOM1IqUiCJJpTXJJrcl5zRLKZSmjEhIkRSP+5qwKAkEykjKb8iFF17IypUrve8tFt8kjwsXLuSf//wnL7/8Mrm5ufzmN7/hkksuYevWrRiN0Y0bkiSJks7Bt/FGS8yRgjqK3W960mFckiyRZy0lz1pK2xIebf253A4ON+/CJTs52PQFAJmmXHpYi8k055Ft6UW2x02nNeFkp4etS3bilp2YDSkA1Noq+OzY35Fx+ZTrYSmiKH0IhamDtE1LV/oAj6IVqe1wBDPRIuhXrUgCSDVkMDnzcprd9Zgkc8L+uo71fa2htW12rkgPkPiIzNzxJSm/IVarlcLCwoDH6urqWLFiBS+88ALnn///23vz8Kqqe///tc+YgRACIROQEEBBCDIEZJKilF8iSHGoCooUbymV22sRh1tBvn3A9t7CY73WS6viw2XScsXboq0WQUENYhNAIEwyGCEMQkIgZiDzyTnr90c4x5ycaZ/5HLJePPt5yN5rr89nnXP22u/9WWt/1hQA/vznP9OnTx927txJfn5+yPwUQlDFFborKSGzGVScva1md9zN8Ju3c5VcDcG58ElRNLZ6FRSGJk7havN5qkxl1LdWca21kmutlQD0jOlLbvKM6yYtHK36GKO2C0ZtPDrFgE5jQKvo0Wr0GDRxdNEngaJgtrRS3lhCi7kRk6WRFnMjDa01NLRW02S+RlbCcG5JugOAeH0SAjNGbTzJMVn0iMkkOSYTgzZOzSdtjzc3djVlwymSQjR5uyOKohCvTYzIaJKVUPZrQghbREmmB4gC5NBbWInKK6SgoICUlBS6devGpEmT+M///E9SUtrEyIEDBzCZTOTl5dnKZ2RkkJOTQ2FhocsOpbm5mebm77Nq19bW+uWjRVjYz2fUUkWumESS0tPzSTcabgSOX2KpY7SrwyK6GkVLWmx/0mL7A22LyFaZyqhpucy11kqS9Bm2U02WRi41nHLZhF5xtzC0Rx4IgUW0crTyI5dlm1rrbP/Xa2KYlPFTYrQJ3g/B+tKphVsgQUQNtwE0mGu51PIN2TG3olV0ES2SIPD9mrs+rdFktn0c8VIoSSRuiborZOrUqTz44INkZWVRWlrKr3/9ayZPnsyBAwcwGo2Ul5djMBhISkqyOy81NZXy8nKX9a5YsYIXXnghYH5qFA0JIolaqijhCKPF5KiYs+QtDsNvKqNK7iv1XywBNr+M2jjStP1Ji203JHpdNCiKloGJt9NkrqPZXE+raMFsMWEWJlqFyS4CpFMMJMdkodcYMWji0GtiiNV1JU6XSLyuG3pNrF0zYnVdPbTTz5uy2vM9CSQVdfklkvy07WvdJxv3csV0nkbLNYbG/kCFG+ETScHo19z1adaJ3IoCcYYoTWPSiVAsbZs/50t8J6KF0qZNm3j88cdtf2/bto2ZM2fa/s7JyWHUqFFkZWWxdetW7r//fpd1eVp2Y8mSJTz99NO2v2tra+nTp49f/vdjMOWcp5YqLnGWXmT7VV+w8GpxXE/Dbw6V+xBVcmdTpVhyqN96Ltj5o0dPdvxw9wLuuk1FURjV817X5drbCBbe1B8AgdRWJIIjSS5sXDGd54rpPAoK2YZbPdcRQkLVr7nr09onm7wRH+BuOOTQW1iJaKE0Y8YMxowZY/u7V69eDmXS09PJysqipKQEgLS0NFpaWqiqqrJ7+qqoqGD8+PEubRmNRoxGYwC9B6MSQz8xmBKOUMIRkkUaRiXW84mRQjAST7qNOLkYgnPwyw+x1PH89n6Ba99CmaXbnW01qBFIKur1O4oUJpFkFq2caNgDQJYxhy7abp6rCeGNJFT9mrs+zZYaQA67SSQeiej0AAkJCQwYMMC2xcY6iozKykouXLhAeno6ALm5uej1enbs2GErU1ZWxrFjx9wKpWDRhwEkkEQrJk5xKOT2Q4HjSuyWjgXUn2t30EXKgI51Cotj2XblhRCOdlw9oVks32+unXbcAoU/dXvyu6MNt0WiUyQBnG06SqPlGkYljv7G4Z6rCfHTdiT0a3JB3ChDBGCT+ExEC6WO1NXV8eyzz1JUVMTZs2cpKCjgRz/6EcnJydx3330AJCYmMm/ePJ555hk++eQTiouLefTRRxk6dKjtbZFQolE0DCYXBYUKLlIhLobcB8Dzjcsb/M291OFm7jK3EqgXSx3LOinv9IboTjSoFR7t6/F38xY1wq6jj26LOBGVDjYjVyQ1mGs509SWEmJgzG1t6QDcuhL+O0g4+rVrTTKHUjRhXcLEn03iO1F1lWi1Wo4ePcqbb75JdXU16enp3HnnnbzzzjskJCTYyv3hD39Ap9Px0EMP0djYyA9/+EM2bNgQ9BxKrkhQupElbuY7KoglPnAVu3tt3tuqXM1TUjn85nFSd0df1Q7BeTrWsV4VQ3GA8+G4tgNObHa4KQciA7k/qBVvVgIxDwn8EjCqffHTxsnGPVgw012bTpre/ZxA1SLJ28/bS8LRr30fUZLrvEkknogqoRQbG8tHH7l+PdtKTEwMf/zjH/njH/8YAq/U0Y8h9GMImlAtNhtlOAotN/OVfBFL4L9gstUXYuHky43aiyfIgIgkNRHLIIskgMFxEzhRX8Sg2NvcTlKOFJEE4enX6q4nm5RzlKIEOZk7rMirJER0FEgWYYlu0eQk6uNvVMl9pm8/xZIbn8GNYGo76Nyn9u1whRoRFcibcagFEkSMSAKIIY4R8T/0XFcnRy5fEmUIwJ9uQuokv4jiO3V0YhZmvhHHKOJjTKIl3O6oI5DzmzxN/LY75t0cJKdzlpyd4+Sm7HZuTqDmELna/MVL/1TPQ1ITRVIz1BZkkWQRZipNl1TPnYukaFK4qGtuW1pHTuaODuQcpfAihVKIEVi4zAUaqeMEB0I7mdTDTc3rBXLVlPfyZuP4Bp2fYsnZOc7Oa2ff/Zt4fk6+DgQ++GBtV0RFkQJk65umYvbXbePrpi9VuCRFEkBdc9vQm8zKLZF4RgqlEKNT9AxljO0tuIucCbdLAcXpjchTugB3b8GBb2LJj+iS1QdVwiIQb655U7eX9asWRxC4KFKbYXX2PNbj3lZV62VKm44AkKh1v0yQFEnfI/MoRRkCz2/Mut3C3YDoRgqlMNBV6c4AhgLwNYe5Jqp9ryxUUY1ADr85I9Biqa0SJ/tcRJfc3LS9EhtWu4HYfMSr6BGoE0igXiAFYlhPhT2TpZmj9bsAQYZ+AKn6vm7ckiKpPdahNxlRihLC2J9IpFAKG5ncRDJpWLBwlL2YRWu4XQICM/zmU1TJmS++iCVfo0vtz1cRZYqE/DtWfPLLQ1vtDYQhiuRpmFgIjtQX0Gi5RqzShUGxY9yWVUUnEUkA9dcnc8cb5TpvEoknpFAKE4qiMJjRGImlgWucpDg0hv2JDHlxrqqbk4chOKf1eBJLzso4s2U911WbVIiIcAknv+yqFUfgnUAK5dwn4HTjQa62fosGLcPjf4hecb5UhxRJzqlvkW+9RRWWAGwSn5FCKYwYFCM53IYWHd1IDrc7vqP2xuvsZqRCLHm0541Y8lUwqWhjRwHjq6AJVD2+tKHNgSAIpACKpHpTNaebDwEwOHY8XbU9XLgnRZIr6mwRJSmUooFwvfX22muvkZ2dTUxMDLm5uezevdtt+V27dpGbm0tMTAz9+vVj9erVdsfXrFnDxIkTSUpKIikpiSlTprBv3z67MsuXL0e5vgi5dUtLS/PJ/0AhhVKYSVJ6cjvT6KW4zyIcSrwefnNVj5ohOGd4mq8EzsWS2snarjoNTwLBW8HhYNa9AApoZMoXX9UKJFA/58EbcaamLosgXpvI8LjJ9DUMpZfhJhfuSZHkjjq5hInEA++88w6LFi1i6dKlFBcXM3HiRKZOncr58+edli8tLWXatGlMnDiR4uJinn/+eRYuXMiWLVtsZQoKCnj44Yf57LPPKCoqIjMzk7y8PC5etF/aa8iQIZSVldm2o0ePBrWtnpBXSQSgVwy2/zeLRixYiFUCuNRJIHG1pIm7ZUc81ikckzqqSUbpzKbKRJO2G72zZJLWm7a7hKAdBYCvbQ8Uvopbb4diwyGQnNSXqu/rcvK2FEmeqZcJJ6MLfydk+3Duyy+/zLx58/jZz34GwCuvvMJHH33E66+/zooVKxzKr169mszMTF555RUAbrnlFvbv389LL73Ej3/8YwA2bdpkd86aNWv461//yieffMJPfvIT236dThf2KFJ7ZEQpgqgTNezjUw7xT1qFSf2J3l4EwX6Drb0ptVElFeVURZbAuzfb3HVA1giLF9EOf6NOqgiELW+iRxD4YTarD2qwtEXaTjcdoslS78ZFbyazd16RZLEI6lvkW29RRYjfemtpaeHAgQPk5eXZ7c/Ly6OwsNDpOUVFRQ7l8/Pz2b9/PyaT8/tZQ0MDJpOJ7t272+0vKSkhIyOD7OxsZs2axZkz4U2jI4VSBKFDj0BQTy3H2BvWN6vcDr+5m8+jFrViyaGIF2LJi0STHjsTb0RTe1vB2HzFlzZ408kGeg5Uuzq/aT7AN80H2VP3gdOHCK+ulSAsKhxNNJjMtv/LiFLnora21m5rbm52Wu7q1auYzWZSU1Pt9qemplJeXu70nPLycqflW1tbuXr1qtNzFi9eTK9evZgyZYpt35gxY3jzzTf56KOPWLNmDeXl5YwfP57KykpvmhpQpFCKIGKUOIYxHg0arlJOCUfC7VJA8EvwqXkTDtwIIC/zJqkRBr4IjnDQ3k9fxJG3qQbU+uRlneebT3Cmue1aGBAzAp1iv+K9FEne0XB92E2jQIxe3gKiggBFlPr06UNiYqJtczaE1p6O0x3crsfporyz/QAvvvgib7/9Nu+++y4xMTG2/VOnTuXHP/4xQ4cOZcqUKWzduhWAjRs3uvU1mMjHiQgjUenOYDGaY+zlPCXEiwR6Kf0Cb8jVXCO7IgLF1dwbL+cqOZ9jZHFcNFbFfCXX9V2/qamZt+SuvNUPK+4Wxe144w/nQsf+CjdvRYG3E8V9qPey6SwnmooA6G8cQW/DQPtqpUjymrqW7994c3fTk0QQFsCfr+r6T//ChQt07drVtttodJ5WIzk5Ga1W6xA9qqiocIgaWUlLS3NaXqfT0aOH/ZupL730Er/73e/YuXMnt956q1vX4+PjGTp0KCUlJW7LBRP5OBGBpCl96MdgAE5wkMviW88nRVKnHowhOBeRJb+H4qzl3Q41ehFd6RjFCUbkKZA2fJnDEIxUA07qrWot50jDLgB6GwbS3zjcvmopknyiQU7kjjoClR6ga9eudpsroWQwGMjNzWXHjh12+3fs2MH48eOdnjNu3DiH8h9//DGjRo1Cr/8+Cvz73/+e3/72t2zfvp1Ro0Z5bHtzczMnTpwgPT3dY9lgIYVShJLNLWTQF4DzfB3W+Uou8fLm7LINfogll/W6G4rzVzD58l24Eje+bP7iazt8STfgTd3tqDNXcbB+JxbMpOgyGRwzzhb98DqNghRJdtQ3yYncEs88/fTT/M///A/r1q3jxIkTPPXUU5w/f54FCxYAsGTJErs31RYsWMC5c+d4+umnOXHiBOvWrWPt2rU8++yztjIvvvgi/+///T/WrVtH3759KS8vp7y8nLq6OluZZ599ll27dlFaWsrevXt54IEHqK2tZe7cuaFrfAfklRKhKIrCLSKXGOLow4DghMj9HX5zhzdDcC6NqxuGc1mv26E1N213d15739oTyUMY/t74vZ1A7odAsqJXjMRquqBVdNwadwfK9e9KCiT/qZNZuaOPMKQHmDlzJpWVlfzmN7+hrKyMnJwcPvzwQ7KysgAoKyuzy6mUnZ3Nhx9+yFNPPcWrr75KRkYGq1atsqUGgLYEli0tLTzwwAN2tpYtW8by5csB+Pbbb3n44Ye5evUqPXv2ZOzYsezZs8dmNxzIKyWCURTFNgRnpUU0Y3CxXENYUCG2HE5RO1+prbB/Yglc53jylC9JjWBq72d7wimcAnHD9zXlQIBsGDVx3NZlGhYh0Cpt3ZQUSYGhQQql6MMiQPHnpRjfzv3FL37BL37xC6fHNmzY4LBv0qRJHDx40GV9Z8+e9Whz8+bNat0LGXLoLYo4J76mkO3UiirnBXwdEvJYxMcL1NvzXN3cXA3DeTtvyZfhuPbnejXs5P7tE78JRv2+piDwNW1CBxot17jY8v2ETZ1iwKAxyqG2APN9DiW5IK5Eogb5SBElWISFK1ykFRPF7CZXTKKLkhhut9rwNIzlzRCcN5ElN+W9ji6B5wiT9Xwr/mQijxT8zcsUIFsNllq+rNtGk6hHQUOGoX+bCa/nUUmR5Il6uc5b9BGGoTfJ98iIUpSgUTQM53a6koSJFg6wixoRugRcHqNKPkwy9mpyd9sJXpV3Xb+nSdsqJ06HKhN3IAlURu8AiqR68/ciKU7Tle66NN+iSFIkqaKxpe1zijPIiFL04CaCrCqHUuf8rQeKqBNKHVcVtm6///3vbWXuuOMOh+OzZs0Ko9eBQafoGcFEutIdEy0c5HMqxWX7QkEafvMLNzfJUIglnwUTeCcKIlE4BTqrt6/2XVBvruHL+g9pEvXEaxIZHTcVoxLnpQ0f/IowkRTKfq2ptW3oLc4gI0oSiRqi7kopKyuz+3vbtm3MmzfPbmY9wPz58/nNb35j+zs2NjYk/gUbvWJgpPgBRyjkOyo4xBfkiDGkKr2DbtvjG3A+DMG5JUDDcG2nuHnbTtVbbu1uxmonr7sTJoFcRDdYoswfAa3Cp2vmKg7Ub6dZNBKv6caouLswary4Tm8AgWQllP1a4/XJ3DF6GVGKGuTQW1iJOqHUcUXhv//979x5553062efvTouLi6iVh8OJDpFx3AxgWN8SQXf0kyj/5X68Paa1/iSMsAXsQQu5y2B83T6Nv/As4jxRTS5shVpBFkcWWm2NLCv7h+0YqKLJoncuPzIFUkhWEA3lP2aHHqLQix+Dp9Fan8TJUTd0Ft7Ll++zNatW5k3b57DsU2bNpGcnMyQIUN49tlnuXbtmtu6mpubHRYMjGQ0ipahjGEY48lUbrI/GMSnh2DMVQIPk3a9HYZzdw4qEhb6knk60td9c0Ugkln6MKxn1MSRaRhMkjaV0fFT1YskX+YigW/XhK+2/CRQ/ZqrPq35+qK4sTKiJJGoIuoiSu3ZuHEjCQkJ3H///Xb7Z8+eTXZ2NmlpaRw7dowlS5Zw+PBhh/Tq7VmxYgUvvPBCsF0OKIqi0JMM298toplvOU1fBqFRwtgJ+jgE53NkCbyOLnm0Z/XViqpcSh1uquFc980VgRR0XoojIQRmTGhpW86gv3EEAov63+oNFkVyRaD6NVd9WmOrFEpRh78PY9H6IBchRGBP/j2bNm2iS5cutm337t12x9etW8fs2bPtVh6GtnH8KVOmkJOTw6xZs/jrX//Kzp073SbCWrJkCTU1NbbtwoULQWlTsBBCcIy9nOE4xeymRTT7UIm6i8nnvEpWfJncDe5vXsGKLtnq8CO/UDDXfQu1bR8nhluEmSMNu9hf/xFm0TZHRlEUdSIplFEkq70gEqp+zVWf1nR96C1GDr1FD/688RbI/G2dlIiOKM2YMYMxY8bY/u7Vq5ft/7t37+bUqVO88847HusZOXIker2ekpISRo4c6bSM0Wh0uUBgNKAoCr3FAGr4jiqusE/sZBgTSFC6BcWeXxO7IfCRpbYTXWfEVhFdAjfzl2z1BCKPUpQ93fkpjJvNjRxq/JRq82UUFKrNFfTQZXg+0R/BEqEiCULXr7nq0xrl0Fv0IecohZWIFkoJCQkkJCQ4PbZ27Vpyc3MZNmyYx3q++uorTCZTWFcfDgUpSgZx4k4OU0gj9XwpPmUIt3n3RlwgJ3X7UVdQxJKnc/FCMEFgRFMkEqBOVQhBjfkKhxsKaBJ16NAzLG5ycEVSBAskK+Hu15rl0JtE4hURLZRcUVtby1/+8hf+67/+y+HY6dOn2bRpE9OmTSM5OZnjx4/zzDPPMGLECCZMmBAGb0NLFyWR28QPOcoevqOCo6KIOnEL/ZQhAV9Y1+cFc614SBngl1gCn6NLVttWvBZNEF3CKYBPm9bPTQjBBdMJTjV9icBCrJLA8LgfkqBN8uBLiAWSPzYDTKj6tbaIkkKsIaJnXkjaI9MDhJWovFI2b96MEIKHH37Y4ZjBYOCTTz4hPz+fgQMHsnDhQvLy8ti5cydabed4gtIrBoZzO5m0vQ1XznlaMamvIJBDQ2qyW7s73dc5S20ne7Ctbu6L11miwTHRYySFvoPgV8fP6HTzIU427UVgIUWXydguM9yLJH/eMLsBRBKErl9rarFGlKLyOblzIvBzjlK4GxDdROWV8vOf/5yf//znTo/16dOHXbt2hdijyEOjaLiZYSSQRALd0CuGoNhRFVXyY74SqIgsge/RJTV1tPPDik/RuWhPQNkBd+Kxl2EA35pOkm24lUzDYM/fn28O+H5uBAkkK6Hq19oiSjpi5WRuiUQVUSmUJOpJJ9NOJJwXJTSJegYoQ92/ceTF/KKwiyXwOPfI49wlax3gUTBZ/bESkCHNSIo4ucGVOBJCcM1SSVdtMgCxmgRu7/IAOkXvvCJ/hcoNJpJCSZPJAno5RymqkENvYUUKpU5Es2jkG3EECxa+ExXkMIYuSmLoHIgEsQQBFUxWv6wEeh5YuFEz5NhsaeB4UyFXWi8wIvb/o6e+7eUBB5EUCIEiBZLftFoEGqRQiiosFsCfrPnyt+8PUTlHSeIbRiWWoco49Bipo4Z9YicXxDeub4ZezFXyO7eSFX/mLIG6uS5qn858mDdjnavj07ymCMAb/4UQXGo5zT/r3uNK6wUUNDQKJxntA5Hh2t8nanmjcCBGTuaWSFQhI0qdgXbDTj2VDMaSx3HxJZWUc0oUc4WLDCKXOKWLk3NDPAQH/keWwHN0qa0iz9Ela11WVEaZvjfheHOPlKiTP0KufRQJIEHTg5zY20nQdm8rEChh4q/YDIAfUah3PaJRwKCVQilqkENvYUUKpU6IUYlhOLdzgW/4RhzhOyrYJ3ZyO3e7nlMSSAIklsCD6FArltoqcl+ufZ3gtWCyN+m60wp4CocgdJDlplKONxbSSgsKGvobh9PXMBSNookcgQR++xKNEUG1xOq1ESPYJSqQQimsSKHUWegQPVEUhUxuIpl0ToqDdFOSXYukQEeV1NbpQSyBynlLEDzBpKZuL4iOm7NCKy101fRgiHFC22v/gsCklYgAgdTmRjR8D74j33iTSNQjhVInJ07pwggm2u2rFpVcFKe5SRmGQfF+WZeIE0sQPMHUvm4rARROkUCraOGauYokXSoAadpMlJg76Knt0xZF8pdAiRIpkFRj1EmhFFXIJUzCihRKnQkXc3LaiwwhBCfFAeqo4aooox9D6EW/tln/XtwUI1IsgbrhuLYKv/+/t0MUQYo2hRohBJdMJZQ0H0AIwe3x96G/LpxTdVmBMOB/HRCw4b7OIpIADLro/V12RoSwIPyI2PpzrkQKJUkHFEXhFnI5cV0snRLFnKeE/uSQKnqjaILwJBpAsQRqFrb1cp6RL1GmjrbaE8ni6bq/VeYKTjXvo9ZSCUCc0pUmSz16rZ8LRwdSjEiB5DNyIneUIfzMot8Jf+OBRAqlzoaKN70SlR7cxhQucoZScZxG6jgm9nCOJG4WI0hSeqoz5c1acAESS+BldAm8F0zgm2jqaLcjoRRQLnyot9RwuuUQ5a1nAdChp59hGJn6Qe4TlHoi0B21FEl+ISNKEol6pFCSOEWjaOjDANLpy3m+5pw4xTWqaBb1oFIogZdiSQ3Wp6pARZfAtzfZ/IkyefIjTLSIJgob3kdcT2zXW3cz/Q3DMWpifaswQsURdF6BZEUKpShD+DlHqZP/3v1FCqXOiNr8QYBO0dGPwfSmP5coJZU+tmMV4luMxJKo9HBvLpDzlawEOroE/gkmCKxoChFNlnpiNPEAGJQY0nX9aBXN9DMMp6s1J5I3BKNDlgIp4MihtyjDYgHFn3UR5Rwlf5BCSaIKg2KkL4Pa/hAWzAhOWg7QQhPd6EmWZhDJpLsUJV6JJVAnmLwQS+BFjiJfcyV1vAlHsHC6Zv6O0y1HqDCfZ3zsj+iiTQJgiHEcijdvsgVTeAQ4wiZF0vfIiJJEoh4plDorXkSVnGEWLfRQ0igX56nmCtWWK8TTlUxlIOlKln/zWUB9dEmlWAIvo0vgf3LJCBNOQli4Yv6WC6ZTVJov2fZXmstsQsmjSAqF2JACKehIoRRlyKG3sCKFksQnDIqRIYymvzKUC6KEb8Vp6qnlhPiS0+IogzWjSVYy7M7xer6SN2IJghNdgoBk475u3HFfCMSTWbRy3nSCC6ZTNIl62/5UXV/66W9tSxjpjFB2rkGYnyUFkmukUIouhMWC8GPoTaYH8A8plDozfkaVAGKUOG5ShpEtBnNRnOa8+JpmGokhzlamRTSjQ49G0QRPLIHX0SXwUTBB4N5Qc3UzD6CAUlA4ZzpOi2hCj5Fe+gH01g8kTpPg/9II/hCkyesBF0g3YLI+o5yjJJGoRgoliX9cFzI6RU+WMog+4iaquEIXpZutyClxkCpRQbrSlwwlm3hL14gQS+CjYILgJ5X08WbfZKmn3HyOKnM5w413oCgaNGgYoB+BgkKari9aReeXDb8I4pt9QYkg3YAiCcCol0IpqpBDb2FFCqXOTgCiSu2FjEbR0oM02yGLsFAjrtJCE+fESc6JkyTSg3RLX1K0vTEqKl8991YstTmjvgm+CiYIeybuFtHE5dZzlLeepcpy2bb/ivkiKbq2txR7628KuV82gpz2QAok75FvvUUZFgGKFErhQgolSWDEkgs0iobxmru5ShmXLGeopIwaKqkRlZxsPUAvTX8Ga0er9NMLsQReR5fAT8EEIRVNNearfGM6xHfmMkS7p81umhTSdH3pplWf7yrghCAnlBRIviPnKEkk6pFCSRIY3IgYjaIhhV6kaHvRLBopE+eoEBeo5TtiRbytnEm0cNZyghSlN12V7s7Fii9iqc0Jb1rjv2CCgC6WK4SFGkslWkVHgub6G2ootrfXEjTdSddlk6bta8uLFFJClCwzqBO0O4lIAimUog4hAH/yKHWe33YwkEJJ0kaAh+BcYVRi6asMoi+DaBINaNDaJnhfFZc4aznBWU6gx0iS0pNuSk+SNCkkkPj9q+ve5Fqy4kN0CQIkmGw+eCecmiz1XDVfotJ8iUpzGa20kK7rx1Dj7UCbOBpoGEWytjfxmq7++6eWMGQQlwIpsBi0QVizURI0hEUg/Bh6k2+A+kdEPVa8++675Ofnk5ycjKIoHDp0yKFMc3Mzv/zlL0lOTiY+Pp4ZM2bw7bff2pWpqqpizpw5JCYmkpiYyJw5c6iurg5NIzo7XryGGqPEYbi+Gr2wCGKIJ1XJRIsOE81UiG/52lLM3taPKGh9j+8sFT7bAtpuiD7eFIUQQXibyuKwCbOZo01fsLvhXT5v3MLxliIum8/RSgs69GjbPdsoikKWfnBwRZITH0OF9TMPWifvx+/BGyKxX5MRpShDWPzffOC1114jOzubmJgYcnNz2b17t9vyu3btIjc3l5iYGPr168fq1asdymzZsoXBgwdjNBoZPHgw7733nt92g01EXS319fVMmDCBlStXuiyzaNEi3nvvPTZv3swXX3xBXV0d06dPx2w228o88sgjHDp0iO3bt7N9+3YOHTrEnDlzQtGE6CZQNyQfL8puJHOrbjx36O5jtHYKAzTDSFbS0aGnFRNxSoKt7BnzVxSZtnHU9AWl5q+4YrlIo6hXd1MNgGDy5+bdIpqptlzh29YSvmrZw9GWf9qOKYpCnaWKRlEHKCQqyfTTDeU2Qz53xDzIYP1tgRErzgRQGEVRe4IqjiBkAslKJPZrUihJPPHOO++waNEili5dSnFxMRMnTmTq1KmcP3/eafnS0lKmTZvGxIkTKS4u5vnnn2fhwoVs2bLFVqaoqIiZM2cyZ84cDh8+zJw5c3jooYfYu3evz3ZDgSIiMCZ39uxZsrOzKS4uZvjw4bb9NTU19OzZk7feeouZM2cCcOnSJfr06cOHH35Ifn4+J06cYPDgwezZs4cxY8YAsGfPHsaNG8fJkycZOHCgKh9qa2tJTEzkDu5Bp+gD3saIJlATu70ZGrM7zd6+EBbqqCWhXcqBQ627uSIuOpyrQ08XpRvDdBMxKDEA1ItaBIIY4px/lwFYtLf90JxFWGjFZIuWAZSYDlFpLqNBXKOVFvtz0fDDmJm2bOZXzBfRoKGrpjv6dnXcyISkG/JRHLUKE5+Z/kJNTQ1du/oevQt3v2bt0/os+j/+c+ZtzBmb5XNbOiPWz8/f34EvNu9Q7vPrPtQqTBSI97zyfcyYMYwcOZLXX3/dtu+WW27h3nvvZcWKFQ7ln3vuOd5//31OnDhh27dgwQIOHz5MUVERADNnzqS2tpZt27bZytx1110kJSXx9ttv+2Q3FETVHKUDBw5gMpnIy8uz7cvIyCAnJ4fCwkLy8/MpKioiMTHR1pkAjB07lsTERAoLC1ULJUn46JiUUlE0JNDNrswgbS69RH/qRDV1ooY6UU09tbRiolZ8hx6Drew3rYepEBeANiFlVOIwEts2lKXoGKId2yZ0NApXzZdoEg3Xcw2Jtn9CILAgEPTR3Wyr99vWb6gRVzGJZlpEEyaaaRHNtNKCBi0/jJllE1D1llpqRaXtXCNxxGu6kqjpQVeN/aLCPbW9AvVRRjQhe0aL8DlI4ejXZMLJKENY8G8yt3fntrS0cODAARYvXmy3Py8vj8LCQqfnFBUV2f2GAfLz81m7di0mkwm9Xk9RURFPPfWUQ5lXXnnFZ7uhIKqEUnl5OQaDgaQk+yUXUlNTKS8vt5VJSUlxODclJcVWxhnNzc00Nzfb/q6pqQGgFZNfeb6iEkFgokoCn6NKmB0jS+3RoSdJ6UmS8v0r8BZhpp46WmjCjBnE98MWWnSYaaUVE62ihnpqrvuoMEg7qs1XM5w3naSSMpd20zR9beLnqvkiV8S3TstZMFNnqSFW05ahvJe2Pyna3sQqXYhVEtB1WAvPghlLO39vREIeuw6QQGoVJiB4wi5Y/ZqrPs3S3EBrUz21tbWBakKnwPp5hWMQxt/7UCttv+GO37nRaMRodIxaX716FbPZTGpqqt3+9r/JjpSXlzst39raytWrV0lPT3dZxlqnL3ZDQdiE0qZNm3j88cdtf2/bto2JEyf6VFfHxU6dvaHkaUHUFStW8MILLzjs/4IPffIp6glUX+BPPf5MkVGtOQSfmf6iutqCFvVli1r+obqsJPKprKwkMTHRbZlI6tdc9WkXX3+M2a87OUGiimvXrnn8HQQKg8FAWloaX5T7fx/q0qULffr0sdu3bNkyli9f7vKcjr8tT/dRZ+U77ldTp7d2g03YhNKMGTPswsi9enkebkhLS6OlpYWqqiq7p6+KigrGjx9vK3P58mWHc69cueKgUtuzZMkSnn76advf1dXVZGVlcf78+ZBdFO2pra2lT58+XLhwIWTj4ZHmQ7jtR4IPnd1+JPhQU1NDZmYm3bt391g2kvq1SOvT2hPu79QXP4QQXLt2jYyMDLflAklMTAylpaW0tLR4LuwBZ2LDWTQJIDk5Ga1W6xDFqaiocPl7S0tLc1pep9PRo0cPt2WsdfpiNxSETSglJCSQkJDguWA7cnNz0ev17Nixg4ceegiAsrIyjh07xosvvgjAuHHjqKmpYd++fdx2220A7N27l5qaGlun4wxXIcjExMSwXshdu3YNq/1I8CHc9iPBh85uPxJ80KhIGBpJ/Vqk9mntCfd36q0f4RCYMTExxMTEhNSmwWAgNzeXHTt2cN9999n279ixg3vuucfpOePGjeODDz6w2/fxxx8zatQo9Hq9rcyOHTvs5il9/PHHtt+wL3ZDgoggKisrRXFxsdi6dasAxObNm0VxcbEoKyuzlVmwYIHo3bu32Llzpzh48KCYPHmyGDZsmGhtbbWVueuuu8Stt94qioqKRFFRkRg6dKiYPn26V77U1NQIQNTU1ASsfdFkPxJ8CLf9SPChs9uPBB/8tR8p/Vq4P8dI9CVS/IhENm/eLPR6vVi7dq04fvy4WLRokYiPjxdnz54VQgixePFiMWfOHFv5M2fOiLi4OPHUU0+J48ePi7Vr1wq9Xi/++te/2sr885//FFqtVqxcuVKcOHFCrFy5Uuh0OrFnzx7VdsNBRAml9evXW5dIttuWLVtmK9PY2CieeOIJ0b17dxEbGyumT58uzp8/b1dPZWWlmD17tkhISBAJCQli9uzZoqqqyitfwn0Bhdt+JPgQbvuR4ENntx8JPvhrP1L6tXB/jpHoS6T4Eam8+uqrIisrSxgMBjFy5Eixa9cu27G5c+eKSZMm2ZUvKCgQI0aMEAaDQfTt21e8/vrrDnX+5S9/EQMHDhR6vV4MGjRIbNmyxSu74SCihFIk0dTUJJYtWyaampo6pf1I8CHc9iPBh85uPxJ8CLf9QBFJ7YgUXyLFD0lkE5EJJyUSiUQikUgiAZl1TCKRSCQSicQFUihJJBKJRCKRuEAKJYlEIpFIJBIXSKEkkUgkEolE4oJOKZTeffdd8vPzSU5ORlEUDh065FCmubmZX/7ylyQnJxMfH8+MGTP49lv7db2qqqqYM2cOiYmJJCYmMmfOHKqrq33ySVEUp9vvf/97W5k77rjD4fisWbN8steRxx57zKHusWPH2pVR85n4gslk4rnnnmPo0KHEx8eTkZHBT37yEy5dumRXLpjtd8Zrr71GdnY2MTEx5Obmsnv37qDYWbFiBaNHjyYhIYGUlBTuvfdeTp06ZVdGzffjD8uXL3eoPy0tzXZcCMHy5cvJyMggNjaWO+64g6+++ipg9vv27ev09/9v//ZvQHDa//nnn/OjH/2IjIwMFEXhb3/7m91xNW0O1jXhK97+Znft2kVubi4xMTH069eP1atXB91uWVkZjzzyCAMHDkSj0bBo0SKHMhs2bHD6e2hqagqqb1988QUTJkygR48exMbGMmjQIP7whz94bVNygxHel+7Cw5tvvileeOEFsWbNGgGI4uJihzILFiwQvXr1Ejt27BAHDx4Ud955p9MEcDk5OaKwsFAUFhaKnJwcrxNbWikrK7Pb1q1bJxRFEadPn7aVmTRpkpg/f75duerqap/sdWTu3Lnirrvusqu7srLSroyaz8QXqqurxZQpU8Q777wjTp48KYqKisSYMWNEbm6uXblgtr8j1qRna9asEcePHxdPPvmkiI+PF+fOnQu4rfz8fLF+/Xpx7NgxcejQIXH33XeLzMxMUVdXZyuj5vvxh2XLlokhQ4bY1V9RUWE7vnLlSpGQkCC2bNkijh49KmbOnCnS09NFbW1tQOxXVFTY2d6xY4cAxGeffSaECE77P/zwQ7F06VKxZcsWAYj33nvP7riaNgfrmvAFb3+z1gSBTz75pDh+/LhYs2aNQ4LAYNgtLS0VCxcuFBs3bhTDhw8XTz75pEOZ9evXi65duzr0i97irW8HDx4U//u//yuOHTsmSktLxVtvvSXi4uLEG2+84bVtyY1DpxRKVkpLS50KperqaqHX68XmzZtt+y5evCg0Go3Yvn27EEKI48ePC8Auo2hRUZEAxMmTJ/327Z577hGTJ0+22zdp0iSnnUogmDt3rrjnnntcHlfzmQSSffv2CcCuQwtm+zty2223iQULFtjtGzRokFi8eHHQbVdUVAjAIbmbu+/HX5YtWyaGDRvm9JjFYhFpaWli5cqVtn1NTU0iMTFRrF69Oij+PPnkk6J///7CYrEIIYLf/o5CSU2bQ31NeMLb3+yvfvUrMWjQILt9jz/+uBg7dmxQ7bbH1TW9fv16kZiY6JUfgfbNyn333SceffRRv32RRC+dcujNEwcOHMBkMpGXl2fbl5GRQU5ODoWFhQAUFRWRmJhotwDm2LFjSUxMtJXxlcuXL7N161bmzZvncGzTpk0kJyczZMgQnn32Wa5du+aXrfYUFBSQkpLCzTffzPz586moqLAdU/OZBJKamhoURaFbt252+4PZfistLS0cOHDArq0AeXl5QWlrR2pqagAcFmF19/0EgpKSEjIyMsjOzmbWrFmcOXMGgNLSUsrLy+0+D6PRyKRJk4LyebS0tPDnP/+Zn/70p3aLeAa7/e1R0+ZQXxPu8OU3W1RU5FA+Pz+f/fv3YzKZgmZXLXV1dWRlZdG7d2+mT59OcXGxV+cHwrfi4mIKCwuZNGmSV7YlNxZhWxQ3kikvL8dgMNit5A2QmppqW9W4vLyclJQUh3NTUlIcVj72lo0bN5KQkMD9999vt3/27NlkZ2eTlpbGsWPHWLJkCYcPH2bHjh1+2QOYOnUqDz74IFlZWZSWlvLrX/+ayZMnc+DAAYxGo6rPJFA0NTWxePFiHnnkEbuFKoPZ/vZcvXoVs9nssFp1MNraESEETz/9NLfffjs5OTm2/Z6+H38ZM2YMb775JjfffDOXL1/mP/7jPxg/fjxfffWVrc3OPo9z5875bbsjf/vb36iuruaxxx6z7Qt2+zuips2hvCY84ctvtry83Gn51tZWrl69Snp6elDsqmHQoEFs2LCBoUOHUltby3//938zYcIEDh8+zE033aSqDn986927N1euXKG1tZXly5fzs5/9zOe2SKKfG14obdq0iccff9z297Zt25g4caJPdQkh7J5w2//fVRlffFq3bh2zZ892WDF6/vz5tv/n5ORw0003MWrUKA4ePMjIkSNVt8OZ/ZkzZ9rVPWrUKLKysti6dauDYGuPmvaqsW9tv8lkYtasWVgsFl577TW78wLVfrV0bJcvbfWWJ554giNHjvDFF1/Y7ff1+1HL1KlTbf8fOnQo48aNo3///mzcuNE2aTpUn8fatWuZOnUqGRkZtn3Bbr8rfGlzKH4nrvDWX2flne0PtF1PjB071m6y/oQJExg5ciR//OMfWbVqVdB92717N3V1dezZs4fFixczYMAAHn74Ya/sSm4cbnihNGPGDLvhsV69enk8Jy0tjZaWFqqqquyeFisqKhg/frytzOXLlx3OvXLlisMTjDc+7d69m1OnTvHOO+949HPkyJHo9XpKSkq8EgpqPpP09HSysrIoKSkB1H0m/to3mUw89NBDlJaW8umnn9pFk5zha/s9kZycjFardXjqrKio8Pjd+sMvf/lL3n//fT7//HN69+7ttmzH7yfQxMfHM3ToUEpKSrj33nuBtghE+yhDMD6Pc+fOsXPnTt5991235YLdfusbf+7aHMhrwl98+c2mpaU5La/T6ejRo0fQ7PqCRqNh9OjRXn3f/viWnZ0NtD00XL58meXLl0uh1Im54ecoJSQkMGDAANsWGxvr8Zzc3Fz0er3dkE5ZWRnHjh2zdYDjxo2jpqaGffv22crs3buXmpoaj52kO5/Wrl1Lbm4uw4YN8+jnV199hclkUhUiV2vfSmVlJRcuXLDVreYz8ce+VSSVlJSwc+dOVR21r+33hMFgIDc312FIb8eOHUG5AQoheOKJJ3j33Xf59NNPbZ20Ozp+P4GmubmZEydOkJ6ebhvubP95tLS0sGvXroB/HuvXryclJYW7777bbblgt19NmwN5TfiLL7/ZcePGOZT/+OOPGTVqFHq9Pmh2fUEIwaFDh7z6vgPlmxCC5uZm1eUlNyBhmEAediorK0VxcbHYunWrAMTmzZtFcXGx3eunCxYsEL179xY7d+4UBw8eFJMnT3aaHuDWW28VRUVFoqioSAwdOtTn9ABCCFFTUyPi4uLE66+/7nDsm2++ES+88IL48ssvRWlpqdi6dasYNGiQGDFihN+vIl+7dk0888wzorCwUJSWlorPPvtMjBs3TvTq1cvhVWhPn4kvmEwmMWPGDNG7d29x6NAhu9eBm5ubg95+Z1hfK167dq04fvy4WLRokYiPjxdnz54NuK1//dd/FYmJiaKgoMCu7Q0NDUII9d+PPzzzzDOioKBAnDlzRuzZs0dMnz5dJCQk2Nq7cuVKkZiYKN59911x9OhR8fDDDwc0PYAQQpjNZpGZmSmee+45u/3Bav+1a9dEcXGxKC4uFoB4+eWXRXFxse1NSzVtDtY14QuefrOLFy8Wc+bMsZW3pgd46qmnxPHjx8XatWv9Sg+g1q4Qwva55+bmikceeUQUFxeLr776ynZ8+fLlYvv27eL06dOiuLhY/Mu//IvQ6XRi7969QfXtT3/6k3j//ffF119/Lb7++muxbt060bVrV7F06VKv7EpuLDqlUFq/fr0AHLZly5bZyjQ2NoonnnhCdO/eXcTGxorp06eL8+fP29VTWVkpZs+eLRISEkRCQoKYPXu2qKqq8tmvN954Q8TGxjrNDXT+/Hnxgx/8QHTv3l0YDAbRv39/sXDhwoDk0mloaBB5eXmiZ8+eQq/Xi8zMTDF37lyH9qr5THzBmqbB2WbNoxPM9rvi1VdfFVlZWcJgMIiRI0fava4fSFy1ff369UII9d+PP1hzBOn1epGRkSHuv/9+uxuXxWIRy5YtE2lpacJoNIof/OAH4ujRowGzL4QQH330kQDEqVOn7PYHq/2fffaZ08997ty5Qgh1bQ7WNeEr7n6zc+fOFZMmTbIrX1BQIEaMGCEMBoPo27ev04e0YNh19rlnZWXZji9atEhkZmYKg8EgevbsKfLy8kRhYWHQfVu1apUYMmSIiIuLE127dhUjRowQr732mjCbzT7ZltwYKEJcn70nkUgkEolEIrHjhp+jJJFIJBKJROIrUihJJBKJRCKRuEAKJYlEIpFIJBIXSKEkkUgkEolE4gIplCQSiUQikUhcIIWSRCKRSCQSiQukUJJIJBKJRCJxgRRKEsl1zp49i6IoKIrC8OHD/a7PWle3bt38rksiiTac/f43bNhg279o0SK78p9++imDBg3CYrGE1tF2PPvssyxcuDBs9iWRiRRKEkkHdu7cySeffOJ3PWVlZbzyyiv+OySRBJHHHnvMJl7ab3fddZdD2ezsbLZv305BQQGKolBdXe227vXr1/P111/b/p45cyZlZWWMGzfOoeyvfvUrli5dikYTvNvSrl27yM3NJSYmhn79+rF69WoHH9avX09paWnQfJBEH1IoSSQd6NGjh+rV092RlpZGYmJiADySSILLXXfdRVlZmd329ttv25U5cuQIlZWV3Hnnnarr7datGykpKba/Y2NjSUtLw2Aw2JUrLCykpKSEBx980L+GuKG0tJRp06YxceJEiouLef7551m4cCFbtmyxlUlJSSEvL89BQEk6N1IoSW5Irly5QlpaGr/73e9s+/bu3YvBYODjjz/2qq7HHnuMe++9l9/97nekpqbSrVs3XnjhBVpbW/n3f/93unfvTu/evVm3bl2gmyGRhASj0UhaWprdlpSUZFfm73//O/n5+RiNxoDb37x5M3l5ecTExAAghGDKlCncddddWFfZqq6uJjMzk6VLl/pkY/Xq1WRmZvLKK69wyy238LOf/Yyf/vSnvPTSS3blZsyY4SASJZ0bKZQkNyQ9e/Zk3bp1LF++nP3791NXV8ejjz7KL37xC/Ly8ryu79NPP+XSpUt8/vnnvPzyyyxfvpzp06eTlJTE3r17WbBgAQsWLODChQtBaI1EEn7ef/997rnnnqDU/fnnnzNq1Cjb34qisHHjRvbt28eqVasAWLBgAampqSxfvtxWrkuXLm63qVOn2soWFRU5XPv5+fns378fk8lk23fbbbdx4cIFzp07F5S2SqIPXbgdkEiCxbRp05g/fz6zZ89m9OjRxMTEsHLlSp/q6t69O6tWrUKj0TBw4EBefPFFGhoaeP755wFYsmQJK1eu5J///CezZs0KZDMkkqDzj3/8gy5dutjte+655/j1r38NwMWLFzl8+DDTpk0Liv2zZ8+SkZFht69Xr1688cYbzJkzh8uXL/PBBx9QXFyMXq+3lTl06JDbemNjY23/Ly8vJzU11e54amoqra2tXL16lfT0dJtdq09ZWVn+NEtygyCFkuSG5qWXXiInJ4f/+7//Y//+/bbQvrcMGTLEbpJpamoqOTk5tr+1Wi09evSgoqLCb58lklBz55138vrrr9vt6969u+3/77//PhMmTLDbF0gaGxudXpsPPvgg7733HitWrOD111/n5ptvtjs+YMAAr+woimL3t3VYr/1+q7hqaGjwqm7JjYsUSpIbmjNnznDp0iUsFgvnzp3j1ltv9ame9k+x0NaxOtsXzlebJRJfiY+Pdys6gjnsBpCcnExVVZXD/oaGBg4cOIBWq6WkpMTheMcoWEcmTpzItm3bgLaXK8rLy+2OV1RUoNPp7F7e+O6774C24XuJBKRQktzAtLS0MHv2bGbOnMmgQYOYN28eR48edQi/SyQS19TV1fHZZ5/x6quvBs3GiBEjOH78uMP+Z555Bo1Gw7Zt25g2bRp33303kydPth33Zuht3LhxfPDBB3bHP/74Y0aNGmX30HPs2DH0ej1DhgzxsTWSGw0plCQ3LEuXLqWmpoZVq1bRpUsXtm3bxrx58/jHP/4RbtckkoiiubnZIdqi0+lITk5m+/bt3HTTTfTr1y9o9vPz89m4caPdvq1bt7Ju3TqKiooYOXIkixcvZu7cuRw5csT2Rp43Q28LFizgT3/6E08//TTz58+nqKiItWvXOrzhtnv3biZOnGgnsiSdG/nWm+SGpKCggFdeeYW33nqLrl27otFoeOutt/jiiy8c5mJIJJ2d7du3k56ebrfdfvvtQFtagI7DbtYhZp0uMM/ajz76KMePH+fUqVNAW3qPefPmsXz5ckaOHAnAsmXLyMjIYMGCBT7ZyM7O5sMPP6SgoIDhw4fz29/+llWrVvHjH//Yrtzbb7/N/Pnz/WuQ5IZCRpQkNyR33HGH3Su/AJmZmR4zCTtjw4YNDvsKCgoc9p09e9bruiWScLNhwwanv3EAs9nMhx9+aJvnY6WiooL4+HiPc4TUkpSUxBNPPMHLL7/MG2+8Qc+ePZ1GuPbu3euXnUmTJnHw4EGXx7du3YpWq+WBBx7wy47kxkJGlCSSDowfP57x48f7XU+XLl18fvqVSCKByspKnnrqKUaPHg20DdEdP36cP/3pT0yZMsXj+Q8//DC9e/e2/b1p0ya6dOnC7t27HcouXbqUrKwszGZz4BrgJfX19axfvz5gkTLJjYEirO9HSiSdnNbWVltUyGg00qdPH7/q++abb4C21AHZ2dn+uieRhJ2//e1vzJkzh/Hjx7NmzRoyMzNdlnX2+7927RqXL18G2pY3SU5ODr7TEomfSKEkkUgkEolE4gI59CaRSCQSiUTiAimUJBKJRCKRSFwghZJEIpFIJBKJC6RQkkgkEolEInGBFEoSiUQikUgkLpBCSSKRSCQSicQFUihJJBKJRCKRuEAKJYlEIpFIJBIXSKEkkUgkEolE4oL/H0Ol+R8QN+UzAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 640x480 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.027364464410824997 0.0\n"
     ]
    }
   ],
   "source": [
    "#反射結合データのグラフの出力\n",
    "E = E_FL_all \n",
    "\n",
    "fig, ax = plt.subplots()\n",
    "plt.imshow(E.T,vmin=0.0, vmax=0.2, cmap='viridis')\n",
    "plt.colorbar (label=\"E/J []\")\n",
    "\n",
    "plt.xlabel('x [m]')\n",
    "plt.ylabel('y [m]')\n",
    "plt.xticks([0,50,100,150,200,250,300,350,400],[\"-100\",\"-75\",\"-50\",\"-25\",\"0\",\"25\",\"50\",\"75\",\"100\"])\n",
    "plt.yticks([0,50,100,150,200,250,300,350,400],[\"-100\",\"-75\",\"-50\",\"-25\",\"0\",\"25\",\"50\",\"75\",\"100\"])\n",
    "\n",
    "theta2 = np.linspace(0, 2*np.pi, 100)\n",
    "a = 2*r * np.cos(theta2) + 200\n",
    "b = 2*r * np.sin(theta2) + 200\n",
    "plt.plot(a,b, color='black', linestyle=\"dashed\") #円の描写しない場合はここをコメントアウト\n",
    "\n",
    "theta3 = np.linspace(0, 2*np.pi, 100)\n",
    "c = 4*r * np.cos(theta2) + 200\n",
    "d = 4*r * np.sin(theta2) + 200\n",
    "plt.plot(c,d, color='black', linestyle=\"dashed\") #円の描写しない場合はここをコメントアウト\n",
    "\n",
    "x = np.linspace(0, 401, 401)\n",
    "\n",
    "# create new axes on the right and on the top of the current axes.\n",
    "divider = make_axes_locatable(ax)\n",
    "axtop = divider.append_axes(\"top\", size=0.8, pad=0.3, sharex=ax)\n",
    "plt.title(\"\\\"the floor\\\" θ = {}, R = {}\".format(theta,R_f))\n",
    "plt.yticks([0,0.1,0.2,0.30],[\"0.0\",\"0.1\",\"0.2\",\"0.3\"])\n",
    "# plt.title(\"max = {}\".format(np.max(E)))\n",
    "plt.ylabel('E/J [](y=0)')\n",
    "axright = divider.append_axes(\"right\", size=0.8, pad=0.5, sharey=ax)\n",
    "\n",
    "\n",
    "axtop.plot(x, E[:,200]) #marker=\"o\", ms=1, mfc=\"k\", mec=\"k\")\n",
    "axtop.axis([0,400, 0, 0.35])\n",
    "\n",
    "\n",
    "plt.xlabel('E/J [](x=0)')\n",
    "\n",
    "\n",
    "axright.plot(E[200], x) #marker=\"o\", ms=1, mfc=\"k\", mec=\"k\")\n",
    "axright.axis([0, 0.35, 0, 400])\n",
    "plt.xticks([0,0.15,0.30],[\"0.0\",\"0.15\",\"0.3\"])\n",
    "\n",
    "# plt.tight_layout()\n",
    "\n",
    "plt.show()\n",
    "\n",
    "print(np.max(E),np.min(E))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.9659258262890683 0.0\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#直達光データのグラフの出力\n",
    "\n",
    "E = E_StoWA \n",
    "\n",
    "fig, ax = plt.subplots()\n",
    "\n",
    "plt.imshow(np.fliplr(np.flipud(E)),vmin=0.0, vmax=1.0,cmap='cividis')\n",
    "plt.xticks([0,45,90,135,180,225,270,315,360],[\"270\",\"225\",\"180\",\"135\",\"90\",\"45\",\"0\",\"-45\",\"-90\"])\n",
    "plt.yticks([0,50,100],[\"100\",\"75\",\"50\"])\n",
    "\n",
    "plt.colorbar (label=\"E/J []\",shrink=0.6)\n",
    "\n",
    "plt.xlabel('φ [°]')\n",
    "plt.ylabel('z [m]')\n",
    "\n",
    "# # create new axes on the right and on the top of the current axes.\n",
    "divider = make_axes_locatable(ax)\n",
    "axright = divider.append_axes(\"right\", size=0.6, pad=0.4)#, sharey=ax)\n",
    "axright.plot(E.T[270],a_WA)\n",
    "plt.xlim(0, 1)\n",
    "plt.xticks([0,0.5,1],[\"0.0\",\"0.50\",\"1.0\"])\n",
    "plt.ylim(50, 100)\n",
    "plt.yticks([50,75,100],[\"50\",\"75\",\"100\"])\n",
    "plt.xlabel('E/J [](φ=180)')\n",
    "\n",
    "E=np.fliplr(np.flipud(E))\n",
    "\n",
    "axtop = divider.append_axes(\"top\", size=0.6, pad=0.3)#, sharey=ax)\n",
    "axtop.plot(b_WA,E[50])\n",
    "plt.ylim(0, 1.0)\n",
    "plt.yticks([0,0.5,1],[\"0.0\",\"0.5\",\"1.0\"])\n",
    "plt.xlim(-90, 270)\n",
    "plt.xticks([-90,-45,0,45,90,135,180,225,270],[\"270\",\"225\",\"180\",\"135\",\"90\",\"45\",\"0\",\"-45\",\"-90\"])\n",
    "plt.ylabel('E/J [](z=75)')\n",
    "\n",
    "plt.title(\"\\\"the wall of the hole\\\" θ = {}\".format(theta))\n",
    "print(np.max(E),np.min(E))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.06470589625585142 0.007040595791358132\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#反射光データのグラフの出力\n",
    "\n",
    "E = E_WA_R \n",
    "\n",
    "fig, ax = plt.subplots()\n",
    "\n",
    "plt.imshow(np.fliplr(np.flipud(E)),vmin=0.0, vmax=0.2,cmap='viridis')\n",
    "plt.xticks([0,45,90,135,180,225,270,315,360],[\"270\",\"225\",\"180\",\"135\",\"90\",\"45\",\"0\",\"-45\",\"-90\"])\n",
    "plt.yticks([0,50,100],[\"100\",\"75\",\"50\"])\n",
    "\n",
    "plt.colorbar (label=\"E/J []\",shrink=0.6)\n",
    "\n",
    "plt.xlabel('φ [°]')\n",
    "plt.ylabel('z [m]')\n",
    "\n",
    "# # create new axes on the right and on the top of the current axes.\n",
    "divider = make_axes_locatable(ax)\n",
    "axright = divider.append_axes(\"right\", size=0.7, pad=0.4)#, sharey=ax)\n",
    "axright.plot(E.T[90],a_WA)\n",
    "plt.xlim(0, 0.35)\n",
    "plt.xticks([0,0.15,0.30],[\"0.0\",\"0.15\",\"0.3\"])\n",
    "plt.ylim(50, 100)\n",
    "plt.yticks([50,75,100],[\"50\",\"75\",\"100\"])\n",
    "plt.xlabel('E/J [](φ=0)')\n",
    "\n",
    "E=np.fliplr(np.flipud(E))\n",
    "\n",
    "axtop = divider.append_axes(\"top\", size=0.6, pad=0.3)#, sharey=ax)\n",
    "axtop.plot(b_WA,E[50])\n",
    "plt.ylim(0, 0.35)\n",
    "plt.yticks([0,0.10,0.20,0.30],[\"0.0\",\"0.1\",\"0.2\",\"0.3\"])\n",
    "plt.xlim(-90, 270)\n",
    "plt.xticks([-90,-45,0,45,90,135,180,225,270],[\"270\",\"225\",\"180\",\"135\",\"90\",\"45\",\"0\",\"-45\",\"-90\"])\n",
    "plt.ylabel('E/J [](z=75)')\n",
    "\n",
    "plt.title(\"\\\"the wall of the hole\\\" θ = {}, R = {}\".format(theta,R))\n",
    "print(np.max(E),np.min(E))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1.0119736817518619 0.007040595791358132\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#反射光データのグラフの出力\n",
    "\n",
    "E = E_WA_all \n",
    "\n",
    "fig, ax = plt.subplots()\n",
    "\n",
    "plt.imshow(np.fliplr(np.flipud(E)),vmin=0.0, vmax=0.2,cmap='viridis')\n",
    "plt.xticks([0,45,90,135,180,225,270,315,360],[\"270\",\"225\",\"180\",\"135\",\"90\",\"45\",\"0\",\"-45\",\"-90\"])\n",
    "plt.yticks([0,50,100],[\"100\",\"75\",\"50\"])\n",
    "\n",
    "plt.colorbar (label=\"E/J []\",shrink=0.6)\n",
    "\n",
    "plt.xlabel('φ [°]')\n",
    "plt.ylabel('z [m]')\n",
    "\n",
    "# # create new axes on the right and on the top of the current axes.\n",
    "divider = make_axes_locatable(ax)\n",
    "axright = divider.append_axes(\"right\", size=0.7, pad=0.4)#, sharey=ax)\n",
    "axright.plot(E.T[90],a_WA)\n",
    "plt.xlim(0, 0.35)\n",
    "plt.xticks([0,0.15,0.30],[\"0.0\",\"0.15\",\"0.3\"])\n",
    "plt.ylim(50, 100)\n",
    "plt.yticks([50,75,100],[\"50\",\"75\",\"100\"])\n",
    "plt.xlabel('E/J [](φ=0)')\n",
    "\n",
    "E=np.fliplr(np.flipud(E))\n",
    "\n",
    "axtop = divider.append_axes(\"top\", size=0.6, pad=0.3)#, sharey=ax)\n",
    "axtop.plot(b_WA,E[50])\n",
    "plt.ylim(0, 0.35)\n",
    "plt.yticks([0,0.10,0.20,0.30],[\"0.0\",\"0.1\",\"0.2\",\"0.3\"])\n",
    "plt.xlim(-90, 270)\n",
    "plt.xticks([-90,-45,0,45,90,135,180,225,270],[\"270\",\"225\",\"180\",\"135\",\"90\",\"45\",\"0\",\"-45\",\"-90\"])\n",
    "plt.ylabel('E/J [](z=75)')\n",
    "\n",
    "plt.title(\"\\\"the wall of the hole\\\" θ = {}, R = {}\".format(theta,R))\n",
    "print(np.max(E),np.min(E))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.0 0.0\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#直達光データのグラフの出力\n",
    "\n",
    "E = E_StoCW \n",
    "\n",
    "fig, ax = plt.subplots()\n",
    "\n",
    "plt.imshow(np.fliplr(np.flipud(E)),vmin=0.0, vmax=1.0,cmap='cividis')\n",
    "plt.xticks([0,45,90,135,180,225,270,315,360],[\"270\",\"225\",\"180\",\"135\",\"90\",\"45\",\"0\",\"-45\",\"-90\"])\n",
    "plt.yticks([0,50,100],[\"50\",\"25\",\"0\"])\n",
    "\n",
    "plt.colorbar (label=\"E/J []\",shrink=0.6)\n",
    "\n",
    "plt.xlabel('φ [°]')\n",
    "plt.ylabel('z [m]')\n",
    "\n",
    "# # create new axes on the right and on the top of the current axes.\n",
    "divider = make_axes_locatable(ax)\n",
    "axright = divider.append_axes(\"right\", size=0.6, pad=0.4)#, sharey=ax)\n",
    "axright.plot(E.T[270],a_CW)\n",
    "plt.xlim(0, 1)\n",
    "plt.xticks([0,0.5,1],[\"0.0\",\"0.50\",\"1.0\"])\n",
    "plt.ylim(0, 50)\n",
    "plt.yticks([0,25,50],[\"0\",\"25\",\"50\"])\n",
    "plt.xlabel('E/J [](φ=180)')\n",
    "\n",
    "E=np.fliplr(np.flipud(E))\n",
    "\n",
    "axtop = divider.append_axes(\"top\", size=0.6, pad=0.3)#, sharey=ax)\n",
    "axtop.plot(b_CW,E[50])\n",
    "plt.ylim(0, 1.0)\n",
    "plt.yticks([0,0.5,1],[\"0.0\",\"0.5\",\"1.0\"])\n",
    "plt.xlim(-90, 270)\n",
    "plt.xticks([-90,-45,0,45,90,135,180,225,270],[\"270\",\"225\",\"180\",\"135\",\"90\",\"45\",\"0\",\"-45\",\"-90\"])\n",
    "plt.ylabel('E/J [](z=25)')\n",
    "\n",
    "plt.title(\"\\\"the wall of the cavern\\\" θ = {}\".format(theta,R))\n",
    "print(np.max(E),np.min(E))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.017494663955862605 0.0\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#反射光データのグラフの出力\n",
    "\n",
    "E = E_CW_R \n",
    "\n",
    "fig, ax = plt.subplots()\n",
    "\n",
    "plt.imshow(np.fliplr(np.flipud(E)),vmin=0.0, vmax=0.2,cmap='viridis')\n",
    "plt.xticks([0,45,90,135,180,225,270,315,360],[\"270\",\"225\",\"180\",\"135\",\"90\",\"45\",\"0\",\"-45\",\"-90\"])\n",
    "plt.yticks([0,50,100],[\"50\",\"25\",\"0\"])\n",
    "\n",
    "plt.colorbar (label=\"E/J []\",shrink=0.6)\n",
    "\n",
    "plt.xlabel('φ [°]')\n",
    "plt.ylabel('z [m]')\n",
    "\n",
    "# # create new axes on the right and on the top of the current axes.\n",
    "divider = make_axes_locatable(ax)\n",
    "axright = divider.append_axes(\"right\", size=0.7, pad=0.4)#, sharey=ax)\n",
    "axright.plot(E.T[270],a_CW)\n",
    "plt.xlim(0, 0.35)\n",
    "plt.xticks([0,0.15,0.30],[\"0\",\"0.15\",\"0.3\"])\n",
    "plt.ylim(0, 50)\n",
    "plt.yticks([0,25,50],[\"0\",\"25\",\"50\"])\n",
    "plt.xlabel('E/J [](φ=180)')\n",
    "\n",
    "E=np.fliplr(np.flipud(E))\n",
    "\n",
    "axtop = divider.append_axes(\"top\", size=0.6, pad=0.3)#, sharey=ax)\n",
    "axtop.plot(b_CW,E[50])\n",
    "plt.ylim(0, 0.35)\n",
    "plt.yticks([0,0.10,0.20,0.30],[\"0.0\",\"0.1\",\"0.2\",\"0.3\"])\n",
    "plt.xlim(-90, 270)\n",
    "plt.xticks([-90,-45,0,45,90,135,180,225,270],[\"270\",\"225\",\"180\",\"135\",\"90\",\"45\",\"0\",\"-45\",\"-90\"])\n",
    "plt.ylabel('E/J [](z=25)')\n",
    "\n",
    "plt.title(\"\\\"the wall of the cavern\\\" θ = {}, R = {}\".format(theta, R))\n",
    "print(np.max(E),np.min(E))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.017494663955862605 0.0\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#反射光データのグラフの出力\n",
    "\n",
    "E = E_CW_all \n",
    "\n",
    "fig, ax = plt.subplots()\n",
    "\n",
    "plt.imshow(np.fliplr(np.flipud(E)),vmin=0.0, vmax=0.2,cmap='viridis')\n",
    "plt.xticks([0,45,90,135,180,225,270,315,360],[\"270\",\"225\",\"180\",\"135\",\"90\",\"45\",\"0\",\"-45\",\"-90\"])\n",
    "plt.yticks([0,50,100],[\"50\",\"25\",\"0\"])\n",
    "\n",
    "plt.colorbar (label=\"E/J []\",shrink=0.6)\n",
    "\n",
    "plt.xlabel('φ [°]')\n",
    "plt.ylabel('z [m]')\n",
    "\n",
    "# # create new axes on the right and on the top of the current axes.\n",
    "divider = make_axes_locatable(ax)\n",
    "axright = divider.append_axes(\"right\", size=0.7, pad=0.4)#, sharey=ax)\n",
    "axright.plot(E.T[270],a_CW)\n",
    "plt.xlim(0, 0.35)\n",
    "plt.xticks([0,0.15,0.30],[\"0\",\"0.15\",\"0.3\"])\n",
    "plt.ylim(0, 50)\n",
    "plt.yticks([0,25,50],[\"0\",\"25\",\"50\"])\n",
    "plt.xlabel('E/J [](φ=180)')\n",
    "\n",
    "E=np.fliplr(np.flipud(E))\n",
    "\n",
    "axtop = divider.append_axes(\"top\", size=0.6, pad=0.3)#, sharey=ax)\n",
    "axtop.plot(b_CW,E[50])\n",
    "plt.ylim(0, 0.35)\n",
    "plt.yticks([0,0.10,0.20,0.30],[\"0.0\",\"0.1\",\"0.2\",\"0.3\"])\n",
    "plt.xlim(-90, 270)\n",
    "plt.xticks([-90,-45,0,45,90,135,180,225,270],[\"270\",\"225\",\"180\",\"135\",\"90\",\"45\",\"0\",\"-45\",\"-90\"])\n",
    "plt.ylabel('E/J [](z=25)')\n",
    "\n",
    "plt.title(\"\\\"the wall of the cavern\\\" θ = {}, R = {}\".format(theta, R))\n",
    "print(np.max(E),np.min(E))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAkoAAAHFCAYAAAANLdYJAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjcuMSwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/bCgiHAAAACXBIWXMAAA9hAAAPYQGoP6dpAACuYklEQVR4nOzdd3hUVf748fdNmxSSQHoCSQhIJ7TQQhOUIk0UC+iKsKIra1tEfruyWJD1C7ZVdFewLIKolFWx7IpCWAFBQCQUaWKEQEJICAmkQTIpc35/hIwM6TOT3Jnk8/K5z2PunHvP506GkzOnakophRBCCCGEqMRF7wCEEEIIIRyVVJSEEEIIIaohFSUhhBBCiGpIRUkIIYQQohpSURJCCCGEqIZUlIQQQgghqiEVJSGEEEKIakhFSQghhBCiGlJREkIIIYSohl0qSitXrkTTNAC2bt2KpmmcOnXK/Prq1atZsmRJpetOnTqFpmm88sor9gij0cyYMYO2bdtanGvbti0zZsww/1zxbCtXrmzU2Orr1KlTjB8/noCAADRNY/bs2dWmXbRoEZ9//nml8xW//7179zZcoM3EjBkzGD58OAALFiyo9Dmrzu7duxk2bBje3t6EhYXxpz/9iUuXLjVcoNVYsmQJkydPJiYmBk3TzM9yrYrPTFVHRkZGnfI6efIkkydPpmXLlrRo0YJRo0axb98+q2O/NiY3NzfCw8OZOnUqSUlJVt/XWvn5+fz5z39m9OjRBAcHo2kaCxYsqNc9MjMzmTFjBkFBQXh7exMfH8///ve/hglYiCaqUVqUqqsoOaunn36azz77rMY04eHh7Nq1i/HjxzdSVNZ5/PHH+eGHH3jvvffYtWsXjz/+eLVpq6soCX0dOHCAG2+8kcjISP7zn//wyiuv8Mknn3Dbbbc1eixvvfUWp0+f5oYbbiA4OLjW9CtWrGDXrl0WR2BgYK3XnT9/nqFDh/LLL7/w3nvv8e9//5uioiKGDx/O8ePHbXqGipg2b97MI488wpdffsmQIUO4ePGiTfetr+zsbN555x2MRiO33HJLva83Go3ceOON/O9//+P111/niy++IDQ0lJtuuolt27bZP2Ahmig3vQNwRu3bt681jcFgYODAgY0QjW0OHz5M//79rSqIRe0KCwvx8vJq0DyeeOIJunfvzocffmhu2e3QoQMDBw7k888/b9Tf7dGjR3FxKf/+1b1791rTd+/enb59+9Y7n5dffpnz58+zc+dOoqOjARgyZAjt27fnmWeeYd26dfW+Z1UxDR8+nLKyMp599lk+//xzfv/731t93/qKjo7m4sWLaJpGVlYW//rXv+p1/fLlyzl8+DA7d+4kPj4egBEjRtCzZ0/+/Oc/88MPPzRE2EI0OQ3eojR8+HC++uorTp8+bdGsfa1XX32VmJgYWrRoQXx8PLt3766UZu/evdx8880EBATg6elJ7969+fe//12nOIxGIwsXLqRLly54enoSGBjIiBEj2LlzpzmNUoqlS5fSq1cvvLy8aNWqFbfffjsnT560uFdVXW/XqqrrbcGCBWiaxpEjR7jrrrvw9/cnNDSU++67j9zcXIvrc3JymDlzJgEBAbRo0YLx48dz8uTJOje/p6SkcM899xASEoLBYKBLly78/e9/x2QyAb91kf766698/fXX5t/L1V2mV9M0jUuXLvH++++b017brZKfn88f//hHgoKCCAwMZPLkyZw9e7bSvdatW0d8fDw+Pj60aNGCMWPGsH///lqfCSAtLY0//OEPREZG4uHhQUREBLfffjvnzp0DoKioiCeeeIJevXrh7+9PQEAA8fHxfPHFFxb36d27N0OHDq10/7KyMlq3bs3kyZPN54qLi3n++efp3LkzBoOB4OBgfv/733P+/HmLa9u2bcuECRNYv349vXv3xtPTk+eee878Xq9Zs4b58+cTERGBn58fI0eOtLn1IzMzky1btjBt2jSLf1cDBgzguuuuY+3atTbdv74qKkkN7bPPPuOGG24wV5IA/Pz8mDx5Mv/5z38oLS21W14VlaaKz1hjqa6srKvPPvuMTp06mStJAG5ubtxzzz3s2bOHtLQ0e4QpRJNnl1JtxowZKKWA8oqRUspckVi6dCmDBw8mLCzMonn9am+++SYJCQksWbKEjz76iEuXLjFu3DiLysOWLVsYPHgwOTk5vPXWW3zxxRf06tWLKVOm1DoOqLS0lLFjx/K3v/2NCRMm8Nlnn7Fy5UoGDRpESkqKOd2DDz7I7NmzGTlyJJ9//jlLly7lyJEjDBo0yK6F5G233UbHjh359NNPefLJJ1m9erVFl5fJZGLixImsXr2av/zlL3z22WcMGDCAm266qU73P3/+PIMGDWLTpk387W9/48svv2TkyJHMnTuXRx55BIA+ffqwa9cuwsLCGDx4sPn3Eh4eXuU9d+3ahZeXF+PGjTOnXbp0qUWa+++/H3d3d1avXs1LL73E1q1bueeeeyzSLFq0iLvuuouuXbvy73//mw8++ID8/HyGDh3K0aNHa3yutLQ0+vXrx2effcacOXP4+uuvWbJkCf7+/uZuEaPRyIULF5g7dy6ff/45a9asYciQIUyePJlVq1aZ7/X73/+eHTt2VBp7smnTJs6ePWtuOTCZTEyaNIkXXniBu+++m6+++ooXXniBhIQEhg8fTmFhocX1+/bt4//9v//HY489xjfffGPR/fXXv/6V06dP869//Yt33nmHpKQkJk6cSFlZmTnNypUr2bp1K1Besa6u4lrh4MGDKKXo2rUrpaWlFkevXr04cOBAjdcDla6r7qj4N25PEyZMwNXVlYCAACZPnszhw4drvaawsJATJ07Qo0ePSq/16NGDwsLCSl9ubJGcnAxAx44da02rlKrz+9nQDh8+XO17BHDkyJEGj0GIJkE1gvHjx6vo6OhK55OTkxWgYmNjVWlpqfn8nj17FKDWrFljPte5c2fVu3dvVVJSYnGPCRMmqPDwcFVWVlZt/qtWrVKAevfdd6tNs2vXLgWov//97xbnU1NTlZeXl/rzn/9sPjd9+vRKzxMdHa2mT59e6dlWrFhhPvfss88qQL300ksW1z700EPK09NTmUwmpZRSX331lQLUsmXLLNItXrxYAerZZ5+t9jmUUurJJ59UgPrhhx8szv/xj39Umqap48ePW8Q9fvz4Gu9XwcfHx+IZK6xYsUIB6qGHHrI4/9JLLylApaenK6WUSklJUW5uburRRx+1SJefn6/CwsLUnXfeWWP+9913n3J3d1dHjx6tU7xKKVVaWqpKSkrUzJkzVe/evc3ns7KylIeHh/rrX/9qkf7OO+9UoaGh5s/ZmjVrFKA+/fRTi3Q//vijAtTSpUvN56Kjo5Wrq6vF+6uUUlu2bFGAGjdunMX5f//73wpQu3btqvPzXOujjz5SQLVHQEBAjddXfE7rcmzZsqVesXXr1k1df/31Vb729ddfq/nz56v//Oc/atu2beqf//ynatOmjfLx8VEHDhyo8b5paWkKUIsXL6702urVqxWgdu7cWa9Ylfrtc7x7925VUlKi8vPz1TfffKPCwsLUsGHDKpU9Nd2jLkd9nD9/vk7/9q/m7u6uHnzwwUrnd+7cqQC1evXqesUgRHPlEGOUxo8fj6urq/nnim88p0+fBuDXX3/l559/Ns+Ou/rb2Lhx4/jvf//L8ePH6dKlS5X3//rrr/H09OS+++6rNob//ve/aJrGPffcY3H/sLAwevbsaf6Wbw8333yzxc89evSgqKiIzMxMQkNDzQMt77zzTot0d911F/Pmzav1/t9++y1du3alf//+FudnzJjBsmXL+Pbbb+v07bi+qnouKP89hoWFsXHjRkpLS7n33nst3mNPT0+uv/56tmzZUuP9v/76a0aMGFHt77nCxx9/zJIlSzh48KDFzC9PT0/z/wcGBjJx4kTef/99/va3v+Hi4sLFixf54osveOyxx3BzK/+n8d///peWLVsyceJEi5h79epFWFgYW7du5Y9//KPFM1f33tb0/tg6nm3lypV069bN4twzzzzDnj17arwuIiKCH3/8sU55dOrUyer4rnXTTTdZtJAOGzaM8ePHExsbyzPPPFOpq7QqNXVL2dJlde3vokuXLnzxxRfmz0RNJk6cWOf3szE01HskRHPiEBWla2e5GAwGAHO3RkW319y5c5k7d26V98jKyqr2/ufPnyciIqLG8RPnzp1DKUVoaGiVr7dr1676B6in2p43OzsbNzc3AgICLNJVF9u1srOzqxxDFRERYX69IdT199ivX78qr69tfMv58+dp06ZNjWnWr1/PnXfeyR133MH/+3//j7CwMNzc3Fi2bBnvvfeeRdr77ruPTz/9lISEBMaMGcOaNWswGo0WyzycO3eOnJwcPDw8qszv2s9ddV2XUPv7Y42KmWVt2rSpNCja1dWVoKCgGq/38PCgV69edcrr6i8zDaFt27YMGTKkyvGJV2vVqhWaplX5Ob5w4QJApX879bFq1Sq6dOlCfn4+69at4+233+auu+7i66+/rvXagIAA/P39rc7bngIDAxvsPRKiOXGIilJtKgr7efPmWQyyvVpN33aDg4PZsWMHJpOp2j/GQUFBaJrG9u3bzX/ArlbVuYYSGBhIaWkpFy5csCjM6rq+TGBgIOnp6ZXOVwysru2PZ0OpyPeTTz6xGIRbV8HBwZw5c6bGNB9++CExMTGsW7fO4huz0WislHbMmDFERESwYsUKxowZw4oVKxgwYABdu3a1iDkwMJBvvvmmyvx8fX0tfm7sb+m9evVC0zSOHz/OjTfeaPHakSNHGDBgQI3Xnzp1ipiYmDrltWXLlmrXRbIXpVStFWYvLy+uu+46Dh06VOm1Q4cO4eXlZdMXmy5dupgrnSNGjKCsrIx//etffPLJJ9x+++01Xvv+++/XeWacaoAxX1eLjY2t9j2Cus1KFEI0UkXJYDDY9K25U6dOdOjQgYMHD7Jo0aJ6Xz927FjWrFnDypUrq+1+mzBhAi+88AJpaWmVurwa2/XXX89LL73EunXrLLp16jqD6cYbb2Tx4sXs27ePPn36mM+vWrUKTdMYMWKEVXHZ+nscM2YMbm5unDhxwqo1fsaOHcsHH3zA8ePHq60Ya5qGh4eHRYUlIyOjyq4cV1dXpk2bxpIlS9i+fTt79+7l7bfftkgzYcIE1q5dS1lZWa2VDj0EBwdzww03sGrVKmbNmmWuZGzZsoXk5GRee+21Gq/Xq+utKsnJyXz//feMHDmy1rS33norS5YsITU1lcjISKB81uX69eu5+eab69RNVlcvvfQSn376Kc888wyTJ0+usSLnSF1vt956Kw899BA//PCD+bNbWlrKhx9+yIABA8wtzEKImjVKRSk2Npb169ezbNky4uLicHFxqffaKW+//TZjx45lzJgxzJgxg9atW3PhwgWOHTvGvn37+Pjjj6u99q677mLFihXMmjWL48ePM2LECEwmEz/88ANdunRh6tSpDB48mD/84Q/8/ve/Z+/evQwbNgwfHx/S09PZsWMHsbGxFpWWhnTTTTcxePBgnnjiCfLy8oiLi2PXrl3mWVu1feN+/PHHWbVqFePHj2fhwoVER0fz1VdfsXTpUv74xz9aPT4pNjaWrVu38p///Ifw8HB8fX3r9cezbdu2LFy4kPnz53Py5EluuukmWrVqxblz59izZw8+Pj4899xz1V6/cOFCvv76a4YNG8Zf//pXYmNjycnJ4ZtvvmHOnDl07tzZPD3/oYce4vbbbyc1NZW//e1vhIeHV7m68n333ceLL77I3XffjZeXF1OmTLF4ferUqXz00UeMGzeOP/3pT/Tv3x93d3fOnDnDli1bmDRpErfeemvd38QG8MorrzBo0CCmTJnCrFmzSEtL489//jNjxoxh0qRJNV7r4eFh1TpG1dm7d695pl5eXh5KKT755BOgvMu1oiVx5MiRDBs2jB49euDn58ehQ4d46aWX0DSNv/3tbxb3vPHGG9m2bZvFGLG5c+fywQcfmD/jBoOBF154gaKiokrLZ8yYMYP333+f5OTkOq90frVWrVoxb948/vznP7N69epKMzmvFhgYWKcFM+vq66+/5tKlS+Tn5wPl61RVvJ/jxo3D29sbgJkzZ/L+++9z4sQJ83t833338eabb3LHHXfwwgsvEBISwtKlSzl+/DibN2+2W4xCNHmNMWL8woUL6vbbb1ctW7ZUmqaZZ3xUzLh5+eWXK11DFTM8Dh48qO68804VEhKi3N3dVVhYmLrhhhvUW2+9VWsMhYWF6plnnlEdOnRQHh4eKjAwUN1www2VZse89957asCAAcrHx0d5eXmp9u3bq3vvvVft3bvXnMbWWW/nz5+3uLZipkxycrLFe/b73/9etWzZUnl7e6tRo0ap3bt3K0C9/vrrtT7v6dOn1d13360CAwOVu7u76tSpk3r55ZcrzQ6sz6y3AwcOqMGDBytvb28FmGc0VcT/448/WqSvmO117Wypzz//XI0YMUL5+fkpg8GgoqOj1e233642b95cawypqanqvvvuU2FhYcrd3V1FRESoO++8U507d86c5oUXXlBt27ZVBoNBdenSRb377rvm974qgwYNUoD63e9+V+XrJSUl6pVXXlE9e/ZUnp6eqkWLFqpz587qwQcfVElJSeZ01b2XFe/Dxx9/bHG+qs+ItXbt2qWGDBmiPD09VUhIiHrsscdUQUGBzfetr+nTp1c7y+vq55w9e7bq2rWr8vX1VW5ubioiIkLdc889lWYMKqXU9ddfX+Xv7tdff1W33HKL8vPzU97e3urGG29UiYmJldLddtttysvLS128eLHG2Kv7HCtVXn5ERUWpDh06WMzQbWjR0dHVvp9XlxcV7/vV55RSKiMjQ917770qICBAeXp6qoEDB6qEhIRGi1+IpkBTqoE7yoXdrF69mt/97nd8//33DBo0SO9whHAKYWFhTJs2jZdfflnvUIQQTkgqSg5qzZo1pKWlERsbi4uLC7t37+bll1+md+/esk+TEHV05MgR4uPjOXnypG6TGIQQzk0qSg7qv//9LwsWLODXX3/l0qVLhIeHc8stt/D888/j5+end3hCCCFEsyAVJSGEEEKIajTODpZCCCGEcCpLly4lJiYGT09P4uLi2L59e7Vp169fz6hRowgODsbPz4/4+Hg2btxYKd2nn35K165dMRgMdO3alc8++8ymfBuDVJSEEEIIYWHdunXMnj2b+fPns3//foYOHcrYsWMtNpK/2nfffceoUaPYsGEDiYmJjBgxgokTJ7J//35zml27djFlyhSmTZvGwYMHmTZtGnfeeSc//PCD1fk2Bul6E0IIIYSFAQMG0KdPH5YtW2Y+16VLF2655RYWL15cp3t069aNKVOm8MwzzwAwZcoU8vLyLLYDqlhPb82aNXbL196cYgsTPZhMJs6ePYuvr69sHilEM6aUIj8/v9b9IoVoCEVFRRQXF9t8H6VUpb9lBoOhyu25iouLSUxM5Mknn7Q4P3r0aHbu3Fmn/EwmE/n5+RbbcO3atYvHH3/cIt2YMWNYsmSJ3fJtCFJRqsbZs2fNWyMIIURqamqtmzILYU9FRUXERLcgI7PM5nu1aNGCgoICi3PPPvtspZXsoXyz77KyskobsYeGhtZ5z9G///3vXLp0yWJLsIyMjBrvaY98G4JUlKpRsdlpamqqTMcXohnLy8sjMjKy0gbIQjS04uJiMjLLOJ3YFj9f61sz8/JNRMedqvT3rLbN3q9tgaqqVaoqa9asYcGCBXzxxReEhITU+57W5ttQpKJUjYpfip+fn1SUhBDSBS9008JXo4Wv9Z8/E/X7exYUFISrq2ulVpzMzMxKrT3XWrduHTNnzuTjjz+utMF1WFhYjfe0Jd+GJB3uQgghhAMrUyabj/rw8PAgLi6OhIQEi/MJCQk1bp+1Zs0aZsyYwerVqxk/fnyl1+Pj4yvdc9OmTeZ7WptvQ5MWJSGEEMKBmVCYsH6CujXXzpkzh2nTptG3b1/i4+N55513SElJYdasWQDMmzePtLQ0Vq1aBZRXku69915ef/11Bg4caG4V8vLywt/fH4A//elPDBs2jBdffJFJkybxxRdfsHnzZnbs2FHnfPUgFSUhhBBCWJgyZQrZ2dksXLiQ9PR0unfvzoYNG4iOjgYgPT3dYm2jt99+m9LSUh5++GEefvhh8/np06ezcuVKAAYNGsTatWt56qmnePrpp2nfvj3r1q1jwIABdc5XDw22jlJqaiqnTp3i8uXLBAcH061bt1oHjjmSvLw8/P39yc3NlTFKQjRjUhYIvVR89s4eb2PzYO6ITmfkM2wlu45ROn36NPPmzaNt27a0bduW66+/nrFjx9K3b1/8/f0ZNWoUH3/8MSZT/fpLoX5Lmu/YsYPBgwcTGBiIl5cXnTt35rXXXrPl0YQQQghdlCll8yGsZ7eK0p/+9CdiY2NJSkpi4cKFHDlyhNzc3PLpjRkZbNiwgSFDhvD000/To0cPfvzxxzrfu75Lmvv4+PDII4/w3XffcezYMZ566imeeuop3nnnHXs9rhBCCCGaAbt1vf2///f/+POf/0xwcHCtaTds2MDly5e5/fbb63RveyxpPnnyZHx8fPjggw/qlF6a24UQIGWB0E/FZ+/0zxG2r6PU+ax8hq1kt8HcL7/8cp3Tjhs3rs5p7bGk+f79+9m5cyfPP/98nfMVQgghHIEJRVkjz3oTv2mwWW9lZWVkZWWhaRqBgYG4urpadR9bljRv06YN58+fp7S0lAULFnD//fdXm9ZoNGI0Gs0/5+XlWRWvEEIIIZoOuy84+dlnnzF48GC8vb2JiIggPDwcb29vBg8ezOeff271fa1Z0nz79u3s3buXt956iyVLlph3J67K4sWL8ff3Nx+yz5sQQghHULGOki2HsJ5dK0pvv/02U6dOpUePHqxbt44dO3awfft21q1bR48ePZg6dSrvvvtuve5py5LmMTExxMbG8sADD/D4449XuflfhXnz5pGbm2s+UlNT6xWnEEII0RBk1pu+7Nr19vLLL7N06VJmzpxZ6bVbbrmFfv368X//93888MADdb7n1Uua33rrrebzCQkJTJo0qc73UUpZdK1dy2AwONU6T0IIIYRoeHatKKWlpTFkyJBqXx80aBBnz56t933ru5T6m2++SVRUFJ07dwbK11V65ZVXePTRR614KiGEEEI/piuHLdcL69m1otStWzfeeecd/v73v1f5+rvvvku3bt3qfd/6LqVuMpmYN28eycnJuLm50b59e1544QUefPBB6x5MCCGE0EmZjbPebLlW2HkLk23btjF+/Hiio6MZPXo0oaGhaJpGRkYGCQkJnD59mg0bNjB06FB7ZdlgZO0UIQRIWSD0U/HZ++loCL42rKOUn2+iR9dM+Qxbya4tStdffz2HDx9m2bJl7N692zwAOywsjAkTJjBr1izatm1rzyyFEEIIIRqM3ddRatu2LS+++KK9byuEEEI0SzJGSV8NtuCkEEIIIWxnQqOMmtcNrO16YT27LzhZYfz48aSnp1f6fyGEEEIIZ9FgLUrfffcdhYWFlf5fCCGEEHVnUuWHLdcL60nXmxBCCOHAymzserPlWtGAXW9CCCGEEM5OWpSEEEIIByYtSvqSipIQQgjhwExKw6RsmPVmw7VCut6EEEIIIarVYC1KmqZV+f9CCCGEqDvpetNXg1WUrt5Czo7byQkhhBDNShkulNnQAVRmx1iaowbresvPz6ddu3aV/t9aS5cuJSYmBk9PT+Li4ti+fXu1adevX8+oUaMIDg7Gz8+P+Ph4Nm7caFP+QgghhB7UlTFK1h5KxijZxCnGKK1bt47Zs2czf/589u/fz9ChQxk7diwpKSlVpv/uu+8YNWoUGzZsIDExkREjRjBx4kT279/fyJELIYQQwplpqgH6xdq2bct9993HjBkziIqKsvl+AwYMoE+fPixbtsx8rkuXLtxyyy0sXry4Tvfo1q0bU6ZM4ZlnnqlT+ry8PPz9/cnNzcXPz8+quIUQzk/KAqGXis/epkPR+Pha365xKd/E6NjT8hm2UoO0KD3xxBN88cUXtGvXjlGjRrF27VqMRqNV9youLiYxMZHRo0dbnB89ejQ7d+6s0z1MJhP5+fkEBARUm8ZoNJKXl2dxCCGEEHorUy42H8J6DfLuPfrooyQmJpKYmEjXrl157LHHCA8P55FHHmHfvn31uldWVhZlZWWEhoZanA8NDSUjI6NO9/j73//OpUuXuPPOO6tNs3jxYvz9/c1HZGRkveIUQgghRNPToNXMnj178vrrr5OWlsazzz7Lv/71L/r160fPnj1577336jUb7tolBpRSdVp2YM2aNSxYsIB169YREhJSbbp58+aRm5trPlJTU+scmxBCCNFQTGiYcLHhkMHctmjQlblLSkr47LPPWLFiBQkJCQwcOJCZM2dy9uxZ5s+fz+bNm1m9enWN9wgKCsLV1bVS61FmZmalVqZrrVu3jpkzZ/Lxxx8zcuTIGtMaDAYMBkPdHkwIIYRoJLKOkr4apKK0b98+VqxYwZo1a3B1dWXatGm89tprdO7c2Zxm9OjRDBs2rNZ7eXh4EBcXR0JCArfeeqv5fEJCApMmTar2ujVr1nDfffexZs0axo8fb9sDCSGEEKJZapCKUr9+/Rg1ahTLli3jlltuwd3dvVKarl27MnXq1Drdb86cOUybNo2+ffsSHx/PO++8Q0pKCrNmzQLKu83S0tJYtWoVUF5Juvfee3n99dcZOHCguTXKy8sLf39/Oz2lEEII0fBsHZBdJos+26RBKkonT54kOjq6xjQ+Pj6sWLGiTvebMmUK2dnZLFy4kPT0dLp3786GDRvMeaSnp1usqfT2229TWlrKww8/zMMPP2w+P336dFauXFn/BxJCCCF0Uj5GyYZNcaXrzSYNso5SXdR1MLZeZO0UIQRIWSD0U/HZ+/RgR3x8Xa2+z6X8Mm7r+Yt8hq1kt1lvXbp0YfXq1RQXF9eYLikpiT/+8Y+8+OKL9spaCCGEaLJMV/Z6s/YwOccmHA7Lbu/em2++yWuvvUZoaChTpkzh5Zdf5qOPPuLTTz/lX//6F3PmzKF///707t0bf39/HnroIXtlLYQQQjRZei04WZ89VtPT07n77rvp1KkTLi4uzJ49u1Ka4cOHo2lapePqCVcLFiyo9HpYWJhV8duL3cYo3XDDDfz444/s3LmTdevWsXr1ak6dOkVhYSFBQUH07t2be++9l3vuuYeWLVvaK1shhBCiSTPZ2Cpkov4jbCr2WF26dCmDBw/m7bffZuzYsRw9erTKrcmMRiPBwcHMnz+f1157rcp7rl+/3qLXKTs7m549e3LHHXdYpOvWrRubN282/+zqan23oz3YfTD3oEGDGDRokL1vK4QQQohG8uqrrzJz5kzuv/9+AJYsWcLGjRtZtmxZlXustm3bltdffx2A9957r8p7XruN2Nq1a/H29q5UUXJzc9O9Felq0nEphBBCOLAypdl8AJX2M61uD1Z77LFaF8uXL2fq1Kn4+PhYnE9KSiIiIoKYmBimTp3KyZMn7ZanNezWojRnzpx6X/PUU0/VuFGtEEII0dxVDMq2/vryrrdr9zB99tlnWbBgQaX09thjtTZ79uzh8OHDLF++3OL8gAEDWLVqFR07duTcuXM8//zzDBo0iCNHjhAYGGiXvOvLbhWlJUuWEB8fj4eHR53S79ixg0ceeUQqSkIIIUQjSE1NtVgeoLZtu6zdY7Uuli9fTvfu3enfv7/F+bFjx5r/PzY2lvj4eNq3b8/7779vVYOMPdh1jNJnn31W48azV/P19bVn1kIIIUSTZFIumGxYmdt0ZblEPz+/Oq2jZMseq3Vx+fJl1q5dy8KFC2tN6+PjQ2xsLElJSTbnay27jVFasWJFvbYHefvtt+3yhgshhBBNmS1rKFnTbXf1HqtXS0hIsMtkrX//+98YjUbuueeeWtMajUaOHTtGeHi4zflay24tStOnT69X+rvvvtteWQshhBDCjuq7xyrAgQMHACgoKOD8+fMcOHAADw8PunbtanHv5cuXc8stt1Q55mju3LlMnDiRqKgoMjMzef7558nLy6t3HcOeGmSvNyGEEELYhwnMM9esvb6+6rvHKkDv3r3N/5+YmMjq1auJjo7m1KlT5vO//PILO3bsYNOmTVXme+bMGe666y6ysrIIDg5m4MCB7N69u9b9YxuS3fZ6CwgI4JdffiEoKKhO6aOioti+fbuuD18T2d9JCAFSFgj9VHz2lu3rh1cL69s1CgtK+WOfH+UzbCW7tSjl5OTw9ddf13mcUnZ2NmVlZXW+/9KlS3n55ZdJT0+nW7duLFmyhKFDh1aZNj09nSeeeILExESSkpJ47LHHWLJkSZ3zEkIIIYQAO3e9NVQfYkMspS6EEEI4A1v2a6u4XljPbu+eyWSq99GuXbs63fvqpdS7dOnCkiVLiIyMZNmyZVWmr1hK/d57763XTDwhhBDC0ZjQbD6E9Rx+MHfFUupPPvmkxXl7L6VuNBotlnPPy8uz272FEEIIa0mLkr4c/t1rjKXUARYvXoy/v7/5uHapdyGEEEI0Pw5fUarQkEupQ/maELm5ueYjNTXVbvcWQgghrNXYC04KSw7f9dbQS6lXMBgMte57I4QQQjQ2k9Iw2bKOkg3XCidoUWropdSFEEIIIapj1xalugyAdnNzw9vbu173bcil1IUQQghHZrKx+8zk+G0iDs2uFaWWLVvWadyQj48Po0aN4vXXX6dNmza1pm+opdSFEEIIR2dSLphsmLlmy7XCjluYAGzbtq3WNCaTiXPnzvHmm2/i6+vLhg0b7JW9Xcm2BUIIkLJA6Kfis7dozwg8bdjCpKiglL/23yKfYSvZtUXJaDQyYsQI3N3da03bo0cPBg4caM/shRBCiCanDI0yGxaNtOVaYefB3LNmzSI4OJgpU6awevVqcnJyqk173XXX8cEHH9gzeyGEEKLJqeh6s+UQ1rPru3fy5Em+++47YmNjWbJkCWFhYdx444288cYblcYGeXh4MGnSJHtmL4QQQghhV3avZvbo0YOnnnqKPXv2cPLkSe644w6++eYbunTpQs+ePXnmmWfYu3evvbMVQgghmqQyfut+s+4QtmjQ9riIiAhmzZrFhg0byMrK4plnnuHUqVPcdNNNLFq0qCGzFkIIIZoE6XrTV6OtzO3j48Ntt93GbbfdhslkIjs7u7GyFkIIIZyWbIqrL7u+e+PGjSM3N9f88//93/9ZDOjOzs6ma9euuLi4EBwcbM+shRBCCCHszq4VpY0bN2I0Gs0/v/jii1y4cMH8c2lpKcePH7dnlkIIIUSTptAw2XAoWR7AJnbtert27Uo7rmUphBBCNEvS9aYvefeEEEIIIaph1xYlTdMq7fVWl73fhBBCCFE1k9IwKev/ltpyrWiArrcZM2ZgMBgAKCoqYtasWfj4+ABYjF8SQgghRO3KcKHMhg4gW64Vdu56mz59OiEhIfj7++Pv788999xDRESE+eeQkBDuvfdeq+69dOlSYmJi8PT0JC4uju3bt9eYftu2bcTFxeHp6Um7du146623rMpXCCGEEM2XXVuUVqxYYc/bma1bt47Zs2ezdOlSBg8ezNtvv83YsWM5evQoUVFRldInJyczbtw4HnjgAT788EO+//57HnroIYKDg7ntttsaJEYhhBCiIUjXm7405QRT0wYMGECfPn1YtmyZ+VyXLl245ZZbWLx4caX0f/nLX/jyyy85duyY+dysWbM4ePAgu3btqlOeeXl5+Pv7k34+Gz8/P9sfQgjhlPLy8ggPDiQ3N1fKAtGoKv4OPbLjVgwt3K2+j7GghH8O+Uw+w1ZqtJW5rVVcXExiYiJPPvmkxfnRo0ezc+fOKq/ZtWsXo0ePtjg3ZswYli9fTklJCe7ulT9wRqPRYgxVxcKZfZ/5Dy4Gb1sfQwjhpEzGy4AsdyJEc+XwFaWsrCzKysoIDQ21OB8aGkpGRkaV12RkZFSZvrS0lKysLMLDwytds3jxYp577rlK59OWzbA+eCFEk5GdnY2/v7/eYYhmqExplNnQfWbLtcIJKkoVrl1mQClV49IDVaWv6nyFefPmMWfOHPPPOTk5REdHk5KSokvhmJeXR2RkJKmpqbo1leodg975O0IMzT1/R4ghNzeXqKgoAgICGj1vIUDGKOnN4StKQUFBuLq6Vmo9yszMrNRqVCEsLKzK9G5ubgQGBlZ5jcFgMC9rcDV/f39d+3T9/Px071PWOwa983eEGJp7/o4Qg4uLTLEW+lDKBZMNq2srWZnbJg7/7nl4eBAXF0dCQoLF+YSEBAYNGlTlNfHx8ZXSb9q0ib59+1Y5PkkIIYQQoioOX1ECmDNnDv/617947733OHbsGI8//jgpKSnMmjULKO82u3p9plmzZnH69GnmzJnDsWPHeO+991i+fDlz587V6xGEEEIIq5Sh2XwI6zl81xvAlClTyM7OZuHChaSnp9O9e3c2bNhAdHQ0AOnp6aSkpJjTx8TEsGHDBh5//HHefPNNIiIieOONN+q1hpLBYODZZ5+tsjuuMeidvyPEoHf+jhBDc8/fEWLQO38hTMq2cUYmmbBpE6dYR0kIIYRobirWUfr91jvxaOFh9X2KC4pZMfzfso6SlZyiRUkIIYRorkw2Dua25VrhJGOUhBBCiObKhGbzYY367LGanp7O3XffTadOnXBxcWH27NmV0qxcuRJN0yodRUVFVufbGKSiJIQQQggLFXuszp8/n/379zN06FDGjh1rMR74akajkeDgYObPn0/Pnj2rva+fnx/p6ekWh6enp9X5NgapKAkhhBAOrGJlbluO+nr11VeZOXMm999/P126dGHJkiVERkZa7Ll6tbZt2/L6669z77331rhIs6ZphIWFWRy25NsYmmVFaf369YwZM4agoCA0TePAgQOV0hiNRh599FGCgoLw8fHh5ptv5syZMxZpLl68yLRp0/D398ff359p06aRk5NjVUxVNUdqmsbLL79sTjN8+PBKr0+dOtWq/K41Y8aMSvceOHCgRZq6vCfWKCkp4S9/+QuxsbH4+PgQERHBvffey9mzZy3SNeTzV6Wxmn8XL15Mv3798PX1JSQkhFtuuYXjx49bpKnL78cWCxYsqHT/qwswpRQLFiwgIiICLy8vhg8fzpEjR+yWf9u2bav8/D/88MNAwzz/d999x8SJE4mIiEDTND7//HOL1+vyzA31b0KIq1WMUbLlqI+KPVav3TO1pj1W66qgoIDo6GjatGnDhAkT2L9/f6Pka4tmWVG6dOkSgwcP5oUXXqg2zezZs/nss89Yu3YtO3bsoKCggAkTJlBWVmZOc/fdd3PgwAG++eYbvvnmGw4cOMC0adOsiunapsj33nsPTdMqLWnwwAMPWKR7++23rcqvKjfddJPFvTds2GDxel3eE2tcvnyZffv28fTTT7Nv3z7Wr1/PL7/8ws0331wpbUM+/9Uas/l327ZtPPzww+zevZuEhARKS0sZPXo0ly5dskhX2+/HVt26dbO4/6FDh8yvvfTSS7z66qv885//5McffyQsLIxRo0aRn59vl7x//PFHi7wrFoy94447zGns/fyXLl2iZ8+e/POf/6zy9bo8c0P9mxCiIeTl5VkcV28EfzVr9liti86dO7Ny5Uq+/PJL1qxZg6enJ4MHDyYpKalB87VVs5z1VlGZOXXqVJWv5+bmsnz5cj744ANGjhwJwIcffkhkZCSbN29mzJgxHDt2jG+++Ybdu3czYMAAAN59913i4+M5fvw4nTp1qldM1zY/fvHFF4wYMYJ27dpZnPf29q6U1l4MBkO1967Le2Itf3//Siup/+Mf/6B///6kpKQQFRVlPt+Qz3+1q5t/AZYsWcLGjRtZtmwZixcvtmte33zzjcXPK1asICQkhMTERIYNG2Y+X9Pvxx7c3NyqvL9SiiVLljB//nwmT54MwPvvv09oaCirV6/mwQcftDnv4OBgi59feOEF2rdvz/XXX28+Z+/nHzt2LGPHjq3ytbo8c0P+mxDiaiZs3OvtymDuyMhIi/PPPvssCxYsqPa6+u6xWpuBAwdatAQPHjyYPn368I9//IM33nijwfK1VbNsUapNYmIiJSUlFs1/ERERdO/e3dz8t2vXLvz9/c2VJCj/EPj7+9vcRHju3Dm++uorZs6cWem1jz76iKCgILp168bcuXPt9o0eYOvWrYSEhNCxY0ceeOABMjMzza/V5T2xp9zcXDRNo2XLlhbnG/L5K+jd/JubmwtQaRPWmn4/9pCUlERERAQxMTFMnTqVkydPApCcnExGRobF+2EwGLj++usb5P0oLi7mww8/5L777rMoHBv6+a9Wl2du7H8TovlSNs54U1cqSqmpqeTm5pqPefPmVZmfNXusWsPFxYV+/fqZW5QaK9/6apYtSrXJyMjAw8ODVq1aWZy/uvkvIyODkJCQSteGhITY3ET4/vvv4+vra/4mW+F3v/sdMTExhIWFcfjwYebNm8fBgwcrtcZYY+zYsdxxxx1ER0eTnJzM008/zQ033EBiYiIGg6FO74m9FBUV8eSTT3L33XdbLI7WkM9/NT2bf5VSzJkzhyFDhtC9e3fz+dp+P7YaMGAAq1atomPHjpw7d47nn3+eQYMGceTIEfMzV/V+nD592ua8r/X555+Tk5PDjBkzzOca+vmvVZdnbsx/E6J5MykbW5SuXFvXjaWv3mP11ltvNZ9PSEhg0qRJVsdxLaUUBw4cIDY2tlHzra8mX1H66KOPLLoGvv76a4YOHWrVva5t/quqKbAuTYS1xfTee+/xu9/9zmLKJJSPz6nQvXt3OnToQN++fdm3bx99+vSp83NUlf+UKVMs7t23b1+io6P56quvKlXYrmZNk2hNz19SUsLUqVMxmUwsXbrU4jp7PX9d6dH8+8gjj/DTTz+xY8cOi/PW/n7q6uouqNjYWOLj42nfvj3vv/++uam8sd6P5cuXM3bsWCIiIsznGvr5q2PNM+vdTSCEPcyZM4dp06bRt29f4uPjeeeddyrtsZqWlsaqVavM11RMjCooKOD8+fMcOHAADw8PunbtCsBzzz3HwIED6dChA3l5ebzxxhscOHCAN998s8756qHJV5Ruvvlmi+6x1q1b13pNWFgYxcXFXLx40eLbYmZmJoMGDTKnOXfuXKVrz58/X2sTYU0xbd++nePHj7Nu3bpa4+zTpw/u7u4kJSXVq6JQl/ckPDyc6Ohoc5NoXd4TW/MvKSnhzjvvJDk5mW+//bbWbz7WPn9t9Gr+ffTRR/nyyy/57rvvaNOmTY1pr/392JuPjw+xsbEkJSVxyy23AOUtKOHh4eY0DfF+nD59ms2bN7N+/foa0zX081eMharpme35b0KImuixMnd991gF6N27t/n/ExMTWb16NdHR0ebxwDk5OfzhD38gIyMDf39/evfuzXfffUf//v3rnK8emvwYJV9fX6677jrz4eXlVes1cXFxuLu7W3TppKenc/jwYXMBGB8fT25uLnv27DGn+eGHH8jNza21kKwppuXLlxMXF1fjgl0Vjhw5QklJiUVBXhd1eU+ys7NJTU0137su74kt+VdUkpKSkti8eTOBgYG13sfa56/N1c2/V0tISGiQP4BKKR555BHWr1/Pt99+S0xMTK3XXPv7sTej0cixY8cIDw83d3de/X4UFxezbds2u78fFQPZx48fX2O6hn7+ujyzPf9NCFGTiq43Ww5rPPTQQ5w6dQqj0VhpcsnKlSvZunWrRXqlVKXj6klTr732GqdPn8ZoNJKZmcnGjRuJj4+vV756aPItSlW5cOECKSkp5nV6KtasqVj8yt/fn5kzZ/LEE08QGBhIQEAAc+fOJTY21jy7pUuXLtx000088MAD5inqf/jDH5gwYUK9Z7xVyMvL4+OPP+bvf/97pddOnDjBRx99xLhx4wgKCuLo0aM88cQT9O7dm8GDB1uVX4WCggIWLFjAbbfdRnh4OKdOneKvf/0rQUFB5n7iurwn1iotLeX2229n3759/Pe//6WsrMzcmhMQEICHh0eDPn9VGrP59+GHH2b16tV88cUX+Pr6mp/d398fLy+vOv1+bDV37lwmTpxIVFQUmZmZPP/88+Tl5TF9+nQ0TWP27NksWrSIDh060KFDBxYtWoS3tzd33323XfIHMJlMrFixgunTp+Pm9lvR1FDPX1BQwK+//mr+OTk5mQMHDhAQEEBUVFStz9yQ/yaEEA5ENUMrVqxQQKXj2WefNacpLCxUjzzyiAoICFBeXl5qwoQJKiUlxeI+2dnZ6ne/+53y9fVVvr6+6ne/+526ePGi1XG9/fbbysvLS+Xk5FR6LSUlRQ0bNkwFBAQoDw8P1b59e/XYY4+p7Oxsq/OrcPnyZTV69GgVHBys3N3dVVRUlJo+fXql563Le2KN5OTkKn8fgNqyZYtSqmGfvzpvvvmmio6OVh4eHqpPnz5q27ZtDZJPdc++YsUKpVTdfz+2mDJligoPD1fu7u4qIiJCTZ48WR05csT8uslkUs8++6wKCwtTBoNBDRs2TB06dMhu+Sul1MaNGxWgjh8/bnG+oZ5/y5YtVb7v06dPV0rV7Zkb6t+EEEoplZubqwA1cdNMNfn7P1p9TNw0UwEqNzdX70dySppSSjVarUwIIYQQdZKXl4e/vz/jN96Pu4+H1fcpuVTMV2P+RW5ubp1mvQlLTX6MkhBCCCGEtZrlGCUhhBDCWdhrHSVhHakoCSGEEA5MKkr6kq43IYQQQohqOFxF6bvvvmPixIlERESgaRqff/65xetKKRYsWEBERAReXl4MHz6cI0eOWKQxGo08+uijBAUF4ePjw80338yZM2ca8SmEEOI3Uq4JW+i1jpIo53AVpUuXLtGzZ0/++c9/Vvn6Sy+9xKuvvso///lPfvzxR8LCwhg1apTF5qizZ8/ms88+Y+3atezYsYOCggImTJhAWVlZYz2GEEKYSbkmbKHAxk1xhS0cenkATdP47LPPzFsoKKWIiIhg9uzZ/OUvfwHKv2WFhoby4osv8uCDD5Kbm0twcDAffPCBeX+os2fPEhkZyYYNGxgzZoxejyOEEFKuiTqrWB7ghq9m4eZj/ebPpZeMfDv+LVkewEpONZg7OTmZjIwMRo8ebT5nMBi4/vrr2blzJw8++CCJiYmUlJRYpImIiKB79+7s3Lmz2gLFaDRiNBrNP5tMJi5cuEBgYKBscClEM6aUIj8/n4iICFxc7N8I31DlmpRp9tXQnwPhuJyqolSxtcO1G3GGhoZy+vRpcxoPDw+LTSor0ly7yenVFi9ezHPPPWfniIUQTUVqamqtmxVbo6HKNSnTGkZDfQ5qIrPe9OVUFaUK134bUkrV+g2ptjTz5s1jzpw55p9zc3OJiopiCONww922gEWDKKWEX/iJS+RzmTzUNT3xgYQTS/mu1ArFD2zGAwMeeGLAC1dcccMNF9zwoQWtCDFfm0/ulasUCpP5/xQm3DHgS0sAyijjFD9TQjHFGCml2Pz/ZZQSQhu6EgeACRPf8R9zHh544ktL/GiJL63wpSXuWL/6rmgYpZSwgw34+vo2aD72LteqK9N+OZlMaGCA7QE3M3l5eURGRjb456AqUlHSl1NVlMLCwoDyb1dX7xqemZlp/jYWFhZGcXExFy9etPj2lZmZWeOO3gaDAYOhch+wG+64aVJR0lORukwOWVwkCw8MtNe6AeCq3MgmnTLKB7O64EoL/GiBPz744ktLi9/dEMbVOc9WBNUpnRvudKJXla+VqhLKKDPHUKyK8CeQyxRQgpFiisgmg2zKWwRCaE0PrXwnbaUU+VzEl1bSTaK3K/Xvhvo9NFS5Vl2Z5uvrJ+NUbCD/Hpsfp6ooxcTEEBYWRkJCAr179waguLiYbdu28eKLLwIQFxeHu7s7CQkJ3HnnnQCkp6dz+PBhXnrpJd1iF3VXqC5xgUxyyCKHLAq5ZH7Nixa0p7yipGkaHVUv3PGgBf544eNQhZib5m7RGumhedKPEQCUqGIKyCWPi+RxgTwu4sdv3/ILucQevsUdDwJUCAGEEkgonpp3oz+HaFhSronaSIuSvhyuolRQUMCvv/5q/jk5OZkDBw4QEBBAVFQUs2fPZtGiRXTo0IEOHTqwaNEivL29ufvuuwHw9/dn5syZPPHEEwQGBhIQEMDcuXOJjY1l5MiRej2WqCOlFPv4zqJypKHhS0taEkQrgi26G1prMXqFahN3zYNWBNOKYPO5qyegGinEDXdKKOYcZzhH+Xo5PsqPQEKJoC0tNP9Gj1tYR8o1YQulNJQNlR1brhUOWFHau3cvI0aMMP9c0cc+ffp0Vq5cyZ///GcKCwt56KGHuHjxIgMGDGDTpk0W/cavvfYabm5u3HnnnRQWFnLjjTeycuVKXF1dG/15RNVMykQO5zlPOhc5T39uxEVzQdM0QlRrcsi+UpEIwp/AZtH9eXVrWCstmGFqInlcIJtzXOAcuVzgEnlcIg9/AmlBeUWpVJXgggsumny+HZWUa0I4L4deR0lPFetXDGdSs/gj3RiUUuSSTRqnOE8apZSYX+vNUAK1UHM6R+pCcxQlqpgLZJJNBh3ogbtWPvD7pDpGCr8QQmtCiaQVwbhoMn3ZXkpVCVv5wunXoKko09LPZxMWJIO566vi/WvMz0FFnvFfPGrzOkq7Jv3D6T/DenG4FiXRNGWrcxxnP5cpMJ9zx0Aw4QQTQcurBk9LJalq7poHobQhFMupyTmcp5QSznKKs5zCAwMhqg3hROOvyR9EIZydjFHSl1SURIMwKROllOChlX8L8sDAZQpwxZVQIgknmpYESaXIDnozlIuc5xxnyOQMxRg5wwnOcIKWKog4rpf3WQghrCQVJWFXRlVIKr+SRjKBhNH9yjpGvlpLeqh4AgjFTZOPnT1pmkYAIQQQQifViwucI4NUznGm0kxAoyrEoHnpGK0Qor5kMLe+5C+WsItLKo/T/EI6KShMAORywWK8UYjWWs8QmwUXzYUgwgkinI6qJyZ+2zA1X+XwA5sJUuG0oT2BhEpLkxBOQLre9CUVJWGTHJXNKX4mi3TzOX8CiaYjwUTIH2IdVXR7VrhAJgBZpJNFOi3wJ0Z1IYTW8nsSwoFJi5K+pKIkbHKBTHMlKZgIoulIS61uq1qLxhWtdSRIhXOGE5zlFAXkcojdUmESQogaSEVJ1MsFlYkrbubZVG1oRzFFRHIdPlrj74Ek6sdH86UTvWinupLCL6TwKwXkcpz9BBGGqxQJQjgcZWPXm7Qo2UZKRVEneeoiv3KYC5zDj1b0UzegaRoemoHO9NY7PFFP7poH7elOlOpICkkY8MT1yiB7pRTZZBBImLQwCeEAFGDLioeyWKJtpKIkanRZFXCCI5wjFSjfTsSfQEyYcEVWBHZ25RWmbhbnMknjELtpSRAdVU/8tFbVXC2EEE2fVJRElYqVkZMcJY2TqCvfR8KIpB3d8NZa6BydaEilFOOCKzlksYf/EaFiuI5ueGieeocmRLNkQkPDhllvNlwrpKIkqnGes5zhBACBhHIdsfhqLfUNSjSK1lo7AlUYSRziHKmcJZlzpNJOdSWS62R7FCEamcx605dUlISZSZnMfwQjaEsu2YQRRYAWonNkorF5at7EMoBI1Z7jHCSfiyTxEzlk0ZNBeocnhBCNRipKgjJVxil+JoNUBqiRuGluaJpGV/rqHZrQWUstiP7qBtI5za8cIpL2eockRLNjUhqaLDipG6koNXMX1Dl+vmqz2gxSaEM7naMSjkTTNCJoS6iKxFX7bQD/WXUKdzwI1iJ0jE6Ipk8pG2e9ybQ3m0hFqZkqU6X8wk+kcRIAA550pBchyDYjompXV5IuqwJ+Zj8myghTUXSiF+6ah47RCSFEw5CKUjOUpy5ymD1cJh+ANrTnOrrjprnrHJlwFga8iKQ9p/mFDFK4wDk6qzhCpHVJCLuTwdz6kopSM5TMz1wmHw886UY/ArVQvUMSTsZVc6UDPQhRrTnCXi6Tz0/sJFxF04neuGlStAhhL1JR0pfM822GutCHCNoykFFSSRI28dcCGcBIoukEQDqn+ZFvKVNlOkcmRNNhurKFiS2HNZYuXUpMTAyenp7ExcWxffv2atOmp6dz991306lTJ1xcXJg9e3alNO+++y5Dhw6lVatWtGrVipEjR7Jnzx6LNAsWLEDTNIsjLCzMqvjtRSpKzUCmSuO4OmD+2UMz0FXrW2l3eSGs4aq50kGLJY7rMeBJCK0txjMJIZzPunXrmD17NvPnz2f//v0MHTqUsWPHkpKSUmV6o9FIcHAw8+fPp2fPnlWm2bp1K3fddRdbtmxh165dREVFMXr0aNLS0izSdevWjfT0dPNx6NAhuz9ffUj7eBOmlOIERzjFzwAEqBCZoSQaTCstmAFqFO78NqjbqApxw0MqTkLYQI9Zb6+++iozZ87k/vvvB2DJkiVs3LiRZcuWsXjx4krp27Zty+uvvw7Ae++9V+U9P/roI4uf3333XT755BP+97//ce+995rPu7m56d6KdDVpUWqiSlUJB9lpriRF0YFAHOeDJ5omD81g3ki3TJWxn+/ZyxYuqwKdIxPCeZVXlDQbjvrlV1xcTGJiIqNHj7Y4P3r0aHbu3Gm357p8+TIlJSUEBARYnE9KSiIiIoKYmBimTp3KyZMn7ZanNZyuotS2bdtK/ZeapvHwww8DMGPGjEqvDRw4UOeoG9cllc8eviWLdFxwoRv96Kj1lK0nRKO6TD5GLpNPDnv4H1kqXe+QHJaUa6Ix5OXlWRxGo7HKdFlZWZSVlREaajmGNTQ0lIyMDLvF8+STT9K6dWtGjhxpPjdgwABWrVrFxo0beffdd8nIyGDQoEFkZ2fbLd/6crqutx9//JGyst8Gih4+fJhRo0Zxxx13mM/ddNNNrFixwvyzh0fzWd8lW2VwiB8opQQDXvQkHj8toPYLhbAzX60lA9RIDvEDuWRzkJ10Ur1po8mCpteSck3UxF6z3iIjIy3OP/vssyxYsKDa6ypah3+7j6p0zlovvfQSa9asYevWrXh6/rbh9tixY83/HxsbS3x8PO3bt+f9999nzpw5dsm7vpyuohQcHGzx8wsvvED79u25/vrrzecMBoND9W82JoWilBL8CaQH8Rhkx3ehI0/Nmzh1PcdIJJ3T/Mw+ClUB1xFrtwK3KZByTdREXTlsuR4gNTUVPz8/83mDoeoJPUFBQbi6ulZqPcrMzKzUymSNV155hUWLFrF582Z69OhRY1ofHx9iY2NJSkqyOV9rOXVfTHFxMR9++CH33XefRaG7detWQkJC6NixIw888ACZmZk6Rtm4grRwejGEOIZJJUk4BBfNha70pR1dATjNL/zKYZ2jclxSromG4ufnZ3FUV1Hy8PAgLi6OhIQEi/MJCQkMGmTbptgvv/wyf/vb3/jmm2/o27f2/USNRiPHjh0jPDzcpnxt4XQtSlf7/PPPycnJYcaMGeZzY8eO5Y477iA6Oprk5GSefvppbrjhBhITE6v9UED5L+Pq/tq8vLyGDN1uTKqMX/iJaDripfkAEKTJt07hWDRNox1d8VI+nOCI7CdYA3uVa85aponK9Fhwcs6cOUybNo2+ffsSHx/PO++8Q0pKCrNmzQJg3rx5pKWlsWrVKvM1Bw4cAKCgoIDz589z4MABPDw86Nq1/EvSSy+9xNNPP83q1atp27atucWqRYsWtGjRAoC5c+cyceJEoqKiyMzM5PnnnycvL4/p06db/fy2cuqK0vLlyxk7diwREb9NeZ8yZYr5/7t3707fvn2Jjo7mq6++YvLkydXea/HixTz33HMNGq+9lapSfmInF8jkIucZqEZJd4ZwaOFaNCGqjcVyAaWqVFbyvoq9yjVnLNNENezV91YPU6ZMITs7m4ULF5Kenk737t3ZsGED0dHRQPkCk9euqdS7d2/z/ycmJrJ69Wqio6M5deoUUL6AZXFxMbfffrvFdVePlTpz5gx33XUXWVlZBAcHM3DgQHbv3m3OVw9OWzqdPn2azZs3s379+hrThYeHEx0dXWv/5rx58ywGiuXl5VUa+OZIipWRA+wgj4u44kpHekolSTiFqytJmSqN4+ynjxqGj+ZXw1XNgz3LNWcr00QNbGxRwsprH3roIR566KEqX1u5cmXlbGpZh6CiwlSTtWvX1iW0RuW0FaUVK1YQEhLC+PHja0yXnZ1Nampqrf2bBoOhxq45R1KkCtnPdi6Rhzse9GII/jKzTTgZpRSnOY6RIhLZRh81jBaav95h6cqe5ZozlWlCODKnHMxtMplYsWIF06dPx83tt7peQUEBc+fOZdeuXZw6dYqtW7cyceJEgoKCuPXWW3WM2H4uqwL2soVL5GHAi74Ml0qScEqaptGTwbSgJcUYSWQb+SpH77B005zLNVGzipW5bTmE9ZyyorR582ZSUlK47777LM67urpy6NAhJk2aRMeOHZk+fTodO3Zk165d+Pr66hStff3Mfoq4jDct6Mtw6a4QTs1DMxDHMHxpRQnF7OO7ZltZas7lmqiZbaty29htJ5yz62306NFV9oV6eXmxceNGHSJqPN3px88coBO9ZPq/aBLcNQ/6qKHsZzt5XDR3w/lprfQOrVE153JNCEfmlC1KzY1Jmcz/76F50kMbKJUk0aS4ax70YRj+BFBKCRlUvUO5EM2S0mw/hNWcskWpOSlVJezjO9qo9kRobfUOR4gG46a501sN5Qwniaaj3uEI4TBsHWckY5RsIy1KDqxUlbL/yhIAv3KIUlWid0hCNCg3zZ22WifzUhdKKUpUsc5RCSGaM6koOSiTKuMndpJLNm6405uhuGnueoclRKMpU2UcYjf72U6pKtU7HCH0o+xwCKtJRckBKaU4xj4ukIkrbvRmCL5aS73DEqJRFVPERc6Tx0UOsctirJ4QzYnMetOXVJQc0GmOk85pAHowEH8tUOeIhGh8XpoPvRiMC65kc45jJNa68q8QQtibVJQcTK66YN5ZvRO9CJQNbkUz5q8F0oOBaGikc5oTV/5tCNHsSLebbqSi5GD8aEV7utGG9kRq1+kdjhC6C9LC6UwfAE5xnAwlSweI5kW63vQlywM4GE3TiKGLdDEIcZXWWgyFqoBTHOdn9hOkwmVyg2g+bG0Zkj8nNpGKkgMoU2Ukc5QYuuCqlf9KKqZHCyHKtac7RopoTYxUkoQQjUYqSg7gOPs5yynyuEgfhukdjhAOSdM0utFP7zCE0IF25bDlemEtGaOkswyVwllOAdCWzvoGI4QTKVC5nFEn9A5DiIYn6yjpSlqUdHRZFXCMfQDE0IUALUTniIRwDoXqEnv4FhNleCpvgrRwvUMSQjRR0qKkE5Mq4xA/UEYpLQkihi56hySE0/DSfAgnGoDD7KFIXdY5IiEakLQo6UoqSjr5lcPkcxF3POhOf1w0+VUIUR+d6IkfrSilhKPslZmioulSmu2HsJr8ddZBiSomnfK1YLrSF0/NW+eIhHA+Lpor3eiPC65cIJMzyHglIYT9SUVJB+6aBwMZSWf6EKxF6B2OEE7LR/OlA7EAJHGISypf54iEsD+lbD+E9aSipBOD5kUbrZ3eYQjh9NrQngBCMFFGKkl6hyOE/ckYJV3JrLdGdF6dRQEh0ookhN1omkZX1ZcMUommo97hCCGaGKkoNZJiZeQoiZRgpLsaQJgWqXdIQjQZnpo3bemkdxhCNAxbB2TLYG6bSNdbI0niJ0ow4oMfIUiLkhANpUyVkap+xaRMeocihF1oyvZDWE9alBpBtjpHOqcB6EIcLpqrzhEJ0TQppUhkK3lcRKGIooPeIQlhO9kUV1dOV1FasGABzz33nMW50NBQMjIygPKC8rnnnuOdd97h4sWLDBgwgDfffJNu3brpES5lqpRjJAIQyXW01AJ1iUOI5kDTNCJUDHlc5ARHCFWRGDRPvcOqlbOVa0I4ijlz5tT7mqeeeoqAgIA6p3e6ihJAt27d2Lx5s/lnV9ffWmheeuklXn31VVauXEnHjh15/vnnGTVqFMePH8fX17fRYz3BEYq4jAEv2iOFmhANrTUxnCWZPC6SxE90p7/eIdWJM5VropHJGKVqLVmyhPj4eDw8POqUfseOHTzyyCNNv6Lk5uZGWFhYpfNKKZYsWcL8+fOZPHkyAO+//z6hoaGsXr2aBx98sFHjLFKXSeVXALrQBzfNvVHzF7apWOlZ05puIdMUaZpGJ9WbH/mWDFJorWJopQXrHVatnKVcEzqQrrcaffbZZ4SE1G2vVGu+WDhlRSkpKYmIiAgMBgMDBgxg0aJFtGvXjuTkZDIyMhg9erQ5rcFg4Prrr2fnzp01FihGoxGj0Wj+OS8vz+Y4DXjRk0Fkc0427XQgpaqEAnK5RD4RtDVXhJLUT5zjDGWUUkYpJsoHA2tKQ0NjIKPx1loAkKFSOE86XnjjRQu8rxweeErFygH4awG0VjGkkcxxDtBf3ejw2wTZu1xriDJNCEezYsUK/P3965z+7bffJjQ0tF55OF1FacCAAaxatYqOHTty7tw5nn/+eQYNGsSRI0fM/fnXvgmhoaGcPn26xvsuXry40hgBW2maRhDhBCGVJL2UqTLyuMBFssjjAgXkUsRvG6gGEYYBL/PPV79WQV35T+O3ClAuFzhHaqW07njgp1rRid7mSpXQR3u6k0kaBeRyhhMOPbC7Icq1hijThE6kRala06dPr1f6u+++u955OF1FaezYseb/j42NJT4+nvbt2/P+++8zcOBAoHJXiVKq1m/58+bNsxgUlpeXR2SkdWsdKaUopQR3rW59psJ+ru0uS+KnKvcAM+CFD37mViMoX+E5hNa44mY+fqsmKTz4bVBwKG3wxJtCLnGZAgopoJBLlFBMNudw57ff/Vl1ikIuEUgofgQ4fMtGU+GhGWivupNFusN/WWmIcs2eZZrQmVSUdOV0FaVr+fj4EBsbS1JSErfccgsAGRkZhIf/VjBmZmbW2tRmMBgwGAx2iekcqfzMftqrbkRq19nlnqJ6SinyySGDFM5zllgG4kcrAFoSRCZptCIIf4LwxZ8W+FdZifXSfPDCp055ttSCaEmQxTmTKiOfXC6RZ3H/NJLJJZtkjuGOgVDVhlDa0JIg6aZrYK2JccqtguxRrtmzTBPCUQUEBPDLL78QFBRUe2IgKiqK7du3Ex0dXec8nL6iZDQaOXbsGEOHDiUmJoawsDASEhLo3bs3AMXFxWzbto0XX3yxUeIpU2X8ymFKKaGUkkbJs7kqVkYySOEspygg13z+PGnmilIo5ZWSxqiQuGiu+BOAP5azKdrQDk+8uEAmJRg5wwnOcAIDXkSotrSjq1SYGog1rcuOwNHKNaEzmfVWrZycHL7++us6j1PKzs6mrKysXnk4XUVp7ty5TJw4kaioKDIzM3n++efJy8tj+vTpaJrG7NmzWbRoER06dKBDhw4sWrQIb29vq/olrZHKr+blABx5TIQzK1ZGkviJDFJQV9qUXXAhmAhCaEMgv80ccoQ/iuFaNOFEY1ImLpJJBqlkkoaRQgrIdYgYm7oidZmTHMUdDzrQQ+9wKnH0ck3oy9bVtZv6ytz1HadUX05XUTpz5gx33XUXWVlZBAcHM3DgQHbv3m1uRvvzn/9MYWEhDz30kHlhtk2bNjXKWiOlqoRT/AyUDyR11Zzu7XUKrriRRQYKhR+tCKctYUQ6/JgwF82FQMIIJIzOqg9ZpOOJt/n1InWZQ/xAWzoRRLhUoOzoEvmc5RQuuBCprsNT8679okbkyOWaEI7MZGr4rYqcblTp2rVrOXv2LMXFxaSlpfHpp5/StWtX8+uaprFgwQLS09MpKipi27ZtdO/evVFiSyOZUkrwpgXhRDVKns1BrrrAz2q/eaC2q+ZKZ3rTjxvor91IpNbe4StJ13LVXAnV2uCv/dZNd5pfyCWbg+xkD/8jU501P7OwTQAhtCQIEyaSr3yZcSSOXK4JB6DscFhh6dKlxMTE4OnpSVxcHNu3b682bXp6OnfffTedOnXCxcWF2bNnV5mu4rNtMBjo2rUrn332mU35Nganqyg5qjJVxml+ASCaTtIaYAeXVT4/qV38yLec4QSZnDG/dm0loymIoQtt6YQrbuSTw0/sJJFt5KscvUNzepqmmVfGP0syheqSzhEJ4djWrVvH7NmzmT9/Pvv372fo0KGMHTuWlJSUKtMbjUaCg4OZP38+PXv2rDLNrl27mDJlCtOmTePgwYNMmzaNO++8kx9++MHqfBuDpuQra5Xy8vLw9/dnOJPqtKJ2tspgPzsw4MVgxsoUcBuUqTJO8TOnOI66Mn0/nGja0RUvrW6z0pxZsTKSQhIpJGGifNBhG9rTiV5SAbfRPrWdC5wjnGi6af3qdE2pKmErX5Cbm4ufn18DR9hwKsq09PPZhAU1rS8ZjaHi/WvMz0FFntEvPo+Lp/V7FpqKijj9l6fqFfuAAQPo06cPy5YtM5/r0qULt9xyC4sXL67x2uHDh9OrVy+WLFlicX7KlCnk5eXx9ddfm8/ddNNNtGrVijVr1ticb0ORv+Z2EqiFEc8YutJXKkk2yFbn+IEEkjmGwkQgoQxkFN20fs2ikgTl6/9cp3VnEGMIpXzdG1dcpZJkB+0p787KIAWjKtQ5GiEaV15ensVx9crtVysuLiYxMdFiNXiA0aNHs3PnTqvz37VrV6V7jhkzxnzPhsrXVvIX3Y58NF8CtfotjS5+Y1ImjnOAyxTggSexDKQXQ2ih1X15+qbEU/MmVhtAX4YTQxfz+UJ1CaMq0jEy5+WvBeJPIApV5UKkQjikiuUBbDmAyMhI/P39zUd1LTRZWVmUlZVVuRp8xUrx1sjIyKjxng2Vr61kWpaNlFIUckm2q7ADF82F7qo/6ZymPd1kE+ErWmq/LaSmlOIwP3CZArqpfrKHoBVi6EweF2mD8y1EKZopO63MnZqaatH1VtuCpA2xDlld7lnffOuyj6Gbmxve3tbNdpWKko2ySOcgO2mtYuiixekdjlNRSpHKrwBEaeVrTvlprcyLRYrKijFSRhklFHOA72mrOtGObtLdWw9Bmuy/KJonPz+/Oo1RCgoKwtXVtVIrTl12uahJWFhYjfe0Nt+WLVvWqQLn4+PDqFGjeP3112nTpk2d45aKko3OcBLgyr5goq7KVBk/s490TqOhEaTCpVWuDgyaJ/3VDfxyZQ+7Uxwnlwt0VwMwaNYP9hRCOLBG3uvNw8ODuLg4EhISuPXWW83nExISmDRpktVhxMfHk5CQwOOPP24+t2nTJgYNGmRTvlu2bKk1b5PJxLlz53jzzTf5wx/+wIYNG+oct/x1t0GRukw25TVfacavuyJVyE/sJI+LaGh0oEed91gT5VuldKY3LVUQx0jkIuf5kW/prYbgoznvrKzGlqXSOcVxYugiYwuFQ9NjZe45c+Ywbdo0+vbtS3x8PO+88w4pKSnMmjULKN90OS0tjVWrVpmvOXDgAAAFBQWcP3+eAwcO4OHhYV4T7E9/+hPDhg3jxRdfZNKkSXzxxRds3ryZHTt21DnfqhiNRkaMGIG7e+3DNXr06GHeaLqupKJkgzSSAWhFMN6arJBbFwUql/3swEghbrgTy0D5I2WlMC0SX9WSA3xPIQUcYS/91AiZHVdHWWSQQxap/Eog8hkU4mpTpkwhOzubhQsXkp6eTvfu3dmwYYN5tfj09PRKaxtV7EUIkJiYyOrVq4mOjubUqVMADBo0iLVr1/LUU0/x9NNP0759e9atW8eAAQPqnG9VZs2axYULFxgzZgyTJk1i3LhxtGzZssq01113HR988EG93gtZR6kata2jZFImvmcDRorozgDCtEgdonQuuSqbA3xPCcX44EtPBkt3mx0UKyPHSKQDPeT9rIfLKp+dbARgMGOrXX5C1lESoO86Sm2f/z+b11E69dR8p/8M1+Snn37iyy+/5Msvv+Snn35i8ODBTJo0iZtvvpm2bdvadG8ZAWqlbDIwUoQ7BkJorXc4TuECmZRQjB8B9GWE/FG3Ew/NQE9tkMX7WaQu6xiRc/DWfAkgBIB09Fv1V4ha6bSFiTPp0aMHTz31FHv27OHkyZPccccdfPPNN3Tp0oWePXvyzDPPsHfvXqvuLRUlK53lFAARRMuMozpqS2c605s+DHO6vdmcSaZK43u+4aw6pXcoDi+M8ub8DE7LvnpCNBERERHMmjWLDRs2kJWVxTPPPMOpU6e46aabWLRoUb3vJ2OUrNSNfmSQQoCMbahRvsrBG19ctfKVpdvQXu+QmryLnEdh4ih7QUGE1lbvkBxWCK35mX1cpoA8LuBPoN4hCVGJHoO5mwofHx9uu+02brvtNkwmE9nZ2fW+hzSFWMlNc6eN1l66j2qQpy6yl60c5HvKVKne4TQbHelJJNcBcIxEslS6zhE5LjfNzdx1Lt1vwmHZaWXupmrcuHHk5uaaf/6///s/cnJyzD9nZ2fTtWtXXFxcCA4Orvf9paIkGkShusQBdlBGKaYrG9uKxqFpGh3pSTjRKBQ/sZtcdUHvsBxWOFG0JIiWBNWeWAg9yBilGm3cuNFi37oXX3yRCxd+K/NKS0s5fvy41feXilI9XVYF/Ki2kKp+1TsUh1WqSjjIToox0gJ/ejEYV016eRuTpml0IY5AQjFRxgF2cFkV6B2WQwrUwuirDZeZq0I4qWvHF9p7vKFUlOopkzPkks15pDujKuV7ke2hgFw8MNCLwbJnm05cNBdiiceXVpRQTNqVVeSFEM6lYoySLYewnnzNr6dzpAEQKksCVOkkR8kiHRdc6MkgPDXrNiEU9uGmudFTDSKDFKLpqHc4Dq1IFZJNOmFESQuocCyNvIWJs9E0rdaNdW0hpUE9FKpL5HMRgGCpKFVSrIykkARAF/rir8kMIkfgqXnRlk56h+HQlFLsZQtFXMYDT4KJ0DskIUQdKaWYMWMGBoMBgKKiImbNmoWPT/kislePX7KGVJTqIZMzQPmWJR6aQedoHI+HZqC/upFMzhCuRekdjqhCqSrlVw7Rhna00Pz1DsdhaFr5xsxnOEEWGVJREo7F1u6zJt6iNH36dIuf77nnnkpp7r33XqvvLxWlejh3paIUShudI3FcPpovMXTROwxRjSR+Io2T5JBFf3WjLJZ6lSDCrlSU0lFKyZ55wnFI11uNVqxY0aD3d7pScvHixfTr1w9fX19CQkK45ZZbKk37mzFjhrnPsuKo727B1ypWReRJt1uVzquz5KgsvcMQddCOrrjjQQG5nOSo3uE4lFaE4IIrRgopILf2C+xIr3JNCFE7p6sobdu2jYcffpjdu3eTkJBAaWkpo0eP5tKlSxbpbrrpJtLT083Hhg0bbMq3hBKCCKclQRg06zcnbGqKVRFH2ctetpKtMvQOR9TCoHnSmT4AnOJn8tRFnSNyHK6aq3nvt6xGntWqV7kmnISso6Qrp+t6++abbyx+XrFiBSEhISQmJjJs2DDzeYPBQFhYmN3y9dF86cVg2Q/qGsc5SAnFtMCfVlf+yAjHFqq1IVNFco5UfmY//dQI6Wa6Iogwskgni4xG7ULWq1wTzkG2MNGX07UoXati2fKAgACL81u3biUkJISOHTvywAMPkJmZWeN9jEYjeXl5FkdV5A/Kby6oTM6RCkBX4mS8ixPpSA9ccSOPC+YNngUEEQ5AHhcoVSW6xWGPcq2uZZoQomZO/ZdNKcWcOXMYMmQI3bt3N58fO3YsH330Ed9++y1///vf+fHHH7nhhhtqnCK4ePFi/P39zUdk5G+r9JaqEorU5QZ9FmejlCKJnwBoQ3v8tIBarhCOxKB50Y6uQHkXnLSUlvPUvOnJIIYxUbeFUu1VrtVUpgkh6k5TTlxCPvzww3z11Vfs2LGDNm2qn4mWnp5OdHQ0a9euZfLkyVWmMRqNFgVOXl4ekZGRDGcSmaRxlL2E0IYemgyeBDirTnOUH3HFjcGMleUSnJBJmTjJESLpIOPualCqStjKF+Tm5uLn59fg+dmrXKuuTEs/n01YkHyxqa+8vDz8/f0b7XNwdZ7t5y3C1dP6f6NlRUWcWPzXRo29KXG6MUoVHn30Ub788ku+++67GgsTgPDwcKKjo0lKSqo2jcFgMC9Wda0LlDdve9PC+oCbkDJVxgkOAxBDZ6kkOSkXzYXriNU7DHEVe5ZrNZVpwrnIGCV9OV3Xm1KKRx55hPXr1/Ptt98SExNT6zXZ2dmkpqYSHh5e//xQ5opSgAxWBkBDI4YutCSISDroHY6wE+leLmdSZZxQh9mntlOmyholz8Yu14QQded0FaWHH36YDz/8kNWrV+Pr60tGRgYZGRkUFhYCUFBQwNy5c9m1axenTp1i69atTJw4kaCgIG699dZ651fIZYopQkPDH9mSA8pbItpo7eirDcdVc9U7HGGjUlXKfrWDnXyDURXqHY7uNFxII5kLnDNvWdTQGrtcE05IlgbQjdNVlJYtW0Zubi7Dhw8nPDzcfKxbtw4AV1dXDh06xKRJk+jYsSPTp0+nY8eO7Nq1C19f33rnV0AOAC3wl0qBaJJccaWMEkyYSOWE3uHoTtN++1KUS3aj5NnY5ZpwMrKOkq6cboxSbWPPvby82Lhxo93yq1ih15eWdruns1JK8RO7CCKccKJlOYAmQtM0olRHcthFGieJUZ1x1ZyuaLArfwI5z1lyyKY17Ro8v8Yu14QQdSd/6WqRb64otdI5Ev3lkMV5zvILBzDROGM3ROMIJgJPvCmhmAxS9A5Hdy2valFS8nVc6KxiMLcth7CeVJRqEUE0UXSgFUF6h6K7NJIBCCVKtzVmRMPQNI1IrgMghV+b/bpKvrRCQ6MYI0Zk3JbQmXS96UoqSrUIJoKOWk9aaP56h6KrYmUkkzMAtKH2GTnC+UTQFhdcuEQe+VfG5jVXrporXleWA7lMgc7RCCH0JBUlUScZpGDChC8tpRuyiXLXPAgiAkC63wAffHHFjRKK9Q5FNHPS9aav5j1isw5yyKKlCmr2XU0VrUnhRMt+d01YNB0IIYLgKxWm5qw7/XHBlTJKOUai3uGI5szW7jOpKNlEWpRqcYDvOcNJvcPQlVEVknNlmnQIrXWORjQkfy2QMC2q2c96A3DV3ORLgRBCWpTqorlvXVJKCUGEUUopnpq33uEIIUTzIi1KupKKUh140rwrBz6aH70Y0uxnQjUXJaqYVH6lgFxiGdhsW1Uq1g0rIE/vUEQzJ3u96UsqSnXghY/eITiE5voHs7nRcCGZn1GYuEwBPjTPlZ81TSNPXZTlAYT+pEVJVzJGqRauuOGueegdhm6MqlA2S21m3DQ387ph2WToHI2+mmslUQjxmzq1KAUEBNTrppqmsW/fPqKjo60KypF4NvPWpFROcIqfiVId6Kj11Dsc0UhaEcIFMskhmyg66B2ObgzNvNtdOAhpUdJVnSpKOTk5LFmyBH//2hddVErx0EMPUVbWNLa48MRL7xB0lcN5AHzw0zkS0ZhaNvKmsI7KgEHvEISQMUo6q/MYpalTpxISElKntI8++qjVATmacKL0DkE3SinzCs0Vu6mL5sHvyhYeRsq7XpvrbEcPPPUOQQihszqNUTKZTHWuJAHk5+fTrl3D77jdGIII1zsE3VymgDLKcMFVxmo0M66aGy1oCUAuF/QNRkeGZt6iLByETnu9LV26lJiYGDw9PYmLi2P79u01pt+2bRtxcXF4enrSrl073nrrLYvXhw8fjqZplY7x48eb0yxYsKDS62FhYdY9gJ3IYG5RrXwuAtACf5nx1gy1wL/Zb+FhwBNXmRwsdKbHFibr1q1j9uzZzJ8/n/379zN06FDGjh1LSkrV2xslJyczbtw4hg4dyv79+/nrX//KY489xqeffmpOs379etLT083H4cOHcXV15Y477rC4V7du3SzSHTp0qP4PYEdWlQBpaWl8//33ZGZmYjKZLF577LHH7BKYoyilBDea5/Yl+eQC4HulZUE0L53pTVfimnUluaUWxFA1nq18oXcoQjSqV199lZkzZ3L//fcDsGTJEjZu3MiyZctYvHhxpfRvvfUWUVFRLFmyBIAuXbqwd+9eXnnlFW677Tag8sSwtWvX4u3tXami5Obmpnsr0tXqXVFasWIFs2bNwsPDg8DAQItCVNO0JldRukR+s11wsvDKrunS7dY8uWqueocghAC7zXrLy7NcPNVgMGAwVJ6wUFxcTGJiIk8++aTF+dGjR7Nz584qs9i1axejR4+2ODdmzBiWL19OSUkJ7u6VGxyWL1/O1KlT8fGxnF2elJREREQEBoOBAQMGsGjRIl2H89S76+2ZZ57hmWeeITc3l1OnTpGcnGw+Tp5senuiNdfWJIBQIommowzkFkIIPdlpjFJkZCT+/v7mo6qWIYCsrCzKysoIDQ21OB8aGkpGRtVrq2VkZFSZvrS0lKysrErp9+zZw+HDh80tVhUGDBjAqlWr2LhxI++++y4ZGRkMGjSI7Gz9ZuDWu0Xp8uXLTJ06FReX5jG8ya0Zj08I1doQShu9wxA6UUpxgB0YKaIPw/DQmudU+UP8oHcIQthFamoqfn6/LfVSVWvS1a7tdldK1dgVX1X6qs5DeWtS9+7d6d+/v8X5sWPHmv8/NjaW+Ph42rdvz/vvv8+cOXNqjLeh1Lu2M3PmTD7++OOGiMUhudF8V+UWzZumaeRxkQJyKaZI73B0c0n2ehM60+xwAPj5+Vkc1VWUgoKCcHV1rdR6lJmZWanVqEJYWFiV6d3c3AgMtOyVuHz5MmvXrq3UmlQVHx8fYmNjSUpKqjVtQ6l3c8nixYuZMGEC33zzDbGxsZX6HV999VW7BecIXGme4zTKVBmXyMUND7y1FnqHI3TigSclFGOkiBbUvuBsU+Qik4OF3hp5ZW4PDw/i4uJISEjg1ltvNZ9PSEhg0qRJVV4THx/Pf/7zH4tzmzZtom/fvpXqCf/+978xGo3cc889tcZiNBo5duwYQ4cOrd9D2FG9K0qLFi1i48aNdOrUCaDSYG7RNFwmnz18iweeDGOC3uEInRjw5BJ5zbpFyaWZflkSjkOPlbnnzJnDtGnT6Nu3L/Hx8bzzzjukpKQwa9YsAObNm0daWhqrVq0CYNasWfzzn/9kzpw5PPDAA+zatYvly5ezZs2aSvdevnw5t9xyS6WWJoC5c+cyceJEoqKiyMzM5PnnnycvL4/p06fX/yHspN4VpVdffZX33nuPGTNmNEA49rV06VJefvll0tPT6datG0uWLNG1VupMKtbOac6D2cVvv/8ySnWORD+O1qIk5ZpoDFOmTCE7O5uFCxeSnp5O9+7d2bBhg3kP1/T0dIs1lWJiYtiwYQOPP/44b775JhEREbzxxhvmpQEq/PLLL+zYsYNNmzZVme+ZM2e46667yMrKIjg4mIEDB7J7925d946td0XJYDAwePDghojFrioWy1q6dCmDBw/m7bffZuzYsRw9epSoqOa7LUldlVICSEWpuatoTSmjaezdaA1HqihJudZM6bQp7kMPPcRDDz1U5WsrV66sdO76669n3759Nd6zY8eO5kHeVVm7dm29YmwM9S4B/vSnP/GPf/yjIWKxq6sXy+rSpQtLliwhMjKSZcuW6R2aU1BX/mU50h8J0fgqfv8mTLWkbLo0B+p6k3KtGWvk7UvEb+rdorRnzx6+/fZb/vvf/9KtW7dKg7TWr19vt+CsZc1iWUajEaPRaP752oW5hGiO3HDHHQ9caL7jD90dpFW1vuWalGlC2Ee9K0otW7Zk8uTJDRGL3VizWNbixYt57rnnGiM8IZxGR60nHempdxi66kpfMknTO4x6l2tSpjUdegzmFr+xagsTZ1GfxbLmzZtnsZhVXl4ekZGRDRqfEMLxnees3iFYqGu5JmVaE6LTGCVRrkkuO23NYlnV7XnTXHnTgmg64oNf7YlFk5WmTpJPLqG0oZUWrHc4ukjDMbZmqm+5JmWaEPZRp5G6ffr04eLFi3W+6ZAhQ0hL06+p+urFsq6WkJDAoEGDdIrKufhqLemg9SBCa6t3KEJHWWRwhhPNenVqRxnILuVa81XR9WbLIaxXpxalAwcOcPDgQQICAup00wMHDlgMItRDbYtlCSFqJ8tEQJmDVJRAyrVmS7redFXnrrcbb7yxxrUPruYIK3TXtlhWXalm+glTSlHEZUopoQX+DvE7FY3PeGVFbg88dY5EPyYHWkPKXuWaEKLu6lRRSk5OrveN27TRf9f5mhbLqitHKiQbkwkT3/M1AMOYiAcy1qE5qti6xCAVJYdhj3JNOBeZ9aavOlWUmvO3lRJKMOCldxiNzlVzxUN5UkwRRVyWilIzVKbKzF1v0qIkhI6k601XsuxyLVwdaFXexuaFNwCFXNI5EqGHoiu/d1fcmu0YJaWUubIohG5sWZVbVue2mVSUauGOh94h6MYLH0AqSs3VZQoA8MG3WY9R64nMKBOiOWuS6ygJ+/CiBQCXyNc5EqGHYC2C69XNlFCsdyi60TSNlipI7zBEMydjlPQlFaVaFFFIi2ba7eBLSwDyydE1DqEfd82jWbeqCuEQZIySrurd9TZjxgy+++67hojFITnCHk96qagoXSIXk3KctWSEaCwFKpc06j/rVwjRdNS7opSfn8/o0aPp0KEDixYt0nUF7sZQxGW9Q9CNJ95Ech2d6d1s15NqrkpUMXvVFpLUT3VeP60pyuYcSfykdxiimdOUsvkQ1qt3RenTTz8lLS2NRx55hI8//pi2bdsyduxYPvnkE0pKmt7skOZcUdI0jU5aL1pr7XDVmu/sv+YolwvkkM15zjbrgdwV60gJoSuZ9aYrq2a9BQYG8qc//Yn9+/ezZ88errvuOqZNm0ZERASPP/44SUlJ9o5TN825oiSar1yyAfAnUOdI9GWUipIQzZ5NywOkp6ezadMmNm3ahKurK+PGjePIkSN07dqV1157zV4x6qqQS82660EpRZ66yGn1S7N+H5qbC2QC0LLZV5QK9Q5BCNkUV2f1riiVlJTw6aefMmHCBKKjo/n44495/PHHSU9P5/3332fTpk188MEHLFy4sCHibXQKU7OeHq1QJLKNJH4in4t6hyMaQbEymluUAgnTORp9XSJP7xCEkK43ndV7eYDw8HBMJhN33XUXe/bsoVevXpXSjBkzhpYtW9ohPMdQyKVmu4WHi+ZCgArhPGc5Tzp+BOgdkmhg2WQA0AJ/PDVvnaPRT4kqphij3mEIIXRW74rSa6+9xh133IGnZ/V7P7Vq1cqqjXQdUQd64knz/WMBEExrznOWTNJoTze9wxENLIt0AIII1zkSfVW0JnngKYO6ha5kwUl91bvrbdq0aTVWkpqa1rTFoDWf561KMOFoaFwij0tKuiKaOg88ccOd4GZeUfKlFf0YQSd66R2KaO6k601XsjK3qJW75kGACiWbDM5xhnZ01Tsk0YA6ab24TsXi0sy3gnTVXPEnEB/V9JY9Ec5FWpT01bxLwjrI5QJn1Sm9w9BdKG0ASOe0zH5rBlw112a9fpIQQlSQilIt9rOdo+ylRDXfmW9QXlFyxY1SSijkkt7hiAZQrIrIVRekInzFCXWEM+pEs571KhyEdL3pSrreamHACyOF5JNDACF6h6MbV82NODUMH/xlle4mKpVfSeZnwoiiO/31DkdXpaqEZI4BMIibdI5GCOk+05O0KNWiBf4A5JOjbyAOwE8LkEpSE1WmyjjDSQCCidA5Gv3lcgEAL3ya7dIgQohyUlGqha9UlCpRSlGgcvUOQ9hRBimUUIwn3lJR4uotXGTdMOEAlLL9EFaTrrda+NISkIpSBaMqJJFtGCliiBqHu+ahd0jCRkopUijfnzGS63DR5PuT7HUnHInMetOXU5WIJSUl/OUvfyE2NhYfHx8iIiK49957OXv2rEW64cOHo2maxTF16lSr8qzoertEHqUyTRgPPHHBlTJKSeVXvcMRdnCOVC6RhxvuRNBW73B0p5QipxErSnqUa0KIunOqitLly5fZt28fTz/9NPv27WP9+vX88ssv3HzzzZXSPvDAA6Snp5uPt99+26o8DXjhhQ8AFzlvU/xNgaZptKUzACkkNfvZgM7OpEyc5CgA0XSUFkLKvxSVUYorruYvSg1Jj3JNOBmZ9aYrp+p68/f3JyEhweLcP/7xD/r3709KSgpRUVHm897e3oSF2WdDz470xB0P2efsilDakMwxLpFHMsfoSE+9QxJWMlIIaLjjQSTX6R2OQyigfPydHwG4aC6YVFmD5qdXuSach2YqP2y5XljPqVqUqpKbm4umaZU24f3oo48ICgqiW7duzJ07l/z8/BrvYzQaycvLszgqBGsRtNSCZOzGFZqm0YEeQPmU8suqQOeIhLW8NB/iGU1fhuOmuesdjkMI06K4npvpQh/dYrBHuVZTmSaEqDunalG6VlFREU8++SR33303fn5+5vO/+93viImJISwsjMOHDzNv3jwOHjxY6Vvb1RYvXsxzzz3XGGE3CYGEEkAIF8jkVw7Rg3i9QxJW0jQNH/xqT9iMuGseuKNPN6S9yjUp05oQW7vPpOvNJg7dRPLRRx/RokUL87F9+3bzayUlJUydOhWTycTSpUstrnvggQcYOXIk3bt3Z+rUqXzyySds3ryZffv2VZvXvHnzyM3NNR+pqakWr19Q5/hZ7SdbZdj3IZ3U1a1KpZRQ1sDdE8K+Lqk8ktXPDd6tJCprrHKttjJNOI+KWW+2HNZYunQpMTExeHp6EhcXZ/FZrcq2bduIi4vD09OTdu3a8dZbb1m8vnLlykoTEjRNo6ioyKZ8G5pDtyjdfPPNDBgwwPxz69atgfLC5M477yQ5OZlvv/3W4ltXVfr06YO7uztJSUn06VN1c7rBYMBgqH5hufOkc4YTKBSByBgBAF+tJf3VDfjSSvYFcyJKKX5mPxc5j5HLdNaxi8nRpKgkznGGKK4jVItskDwaq1yrrUwTTsTWtZCsuHbdunXMnj2bpUuXMnjwYN5++23Gjh3L0aNHLcbNVUhOTmbcuHE88MADfPjhh3z//fc89NBDBAcHc9ttt5nT+fn5cfz4cYtrPT09rc63MTh0RcnX1xdfX1+LcxWFSVJSElu2bCEwsPbpu0eOHKGkpITw8HCrYwkghFR+5SKZVt+jKfLTZIC7syn/HJ/HBVei6Kh3OA7lPGfJJRvjlU2gG4IjlWtCVOfVV19l5syZ3H///QAsWbKEjRs3smzZMhYvXlwp/VtvvUVUVBRLliwBoEuXLuzdu5dXXnnFoqKkaVqNExLqm29jcOiut2uVlpZy++23s3fvXj766CPKysrIyMggIyOD4uLyaeonTpxg4cKF7N27l1OnTrFhwwbuuOMOevfuzeDBg63OuxXBaGhcpkAGL1ehVJVwTO3jgjqndyiiBpdUHr9yCICO9MBba6FzRI6jRBWTQxYAQTRe5UPPck04B3t1vV07uN9oNFaZX3FxMYmJiYwePdri/OjRo9m5c2eV1+zatatS+jFjxrB3715KSn5bg7CgoIDo6GjatGnDhAkT2L9/v035NganqiidOXOGL7/8kjNnztCrVy/Cw8PNR8Wb6OHhwf/+9z/GjBlDp06deOyxxxg9ejSbN2/G1dX6fcrcNHdaEQxAJml2eZ6mJJljpHGSw/xIsSqq/QLR6EzKxBF+xISJQEJpTTu9Q3IoFziHQuGNb6NWIPUs14STsNM6SpGRkfj7+5uP6lposrKyKCsrIzQ01OJ8aGgoGRlVj9PNyMioMn1paSlZWeVfQDp37szKlSv58ssvWbNmDZ6engwePJikpCSr820MDt31dq22bduiaulrjYyMZNu2bQ2SfwhtuEAmmZyhLZ0aJA9n1Y6uZJHBJfI4wo/0UkNk3JKDSeIn8riIG+50oa/8fq6RRXlBHNTIYxD1LtdE85Gammox9q22MWzXlhFKqRrLjarSX31+4MCBDBw40Pz64MGD6dOnD//4xz944403rM63oTlVi5LeKjYLzeMiheqSztE4FlfNjVgG4IIL2ZzjFD/rHZK4ilEVcpZTAHSlH56al74BORil1FUVJRnzIxyLvbre/Pz8LI7qKkpBQUG4urpWasXJzMys1NpTISwsrMr0bm5u1Y65c3FxoV+/fuYWJWvybQxSUaoHg+ZJK4LxpsWVFY3F1Vpo/nSiNwAnOEKmki5KR2HQvOjPjXSiNyFahN7hOJwcsijBiCtutCRI73CEsFQx682Wox48PDyIi4urtEZXQkICgwYNqvKa+Pj4Suk3bdpE3759cXevejFbpRQHDhwwT0iwJt/G4FRdb46gJ4NwxU26LarRWoshX+VwhhMcZg991XD8tFZ6h9VsXd1k7aP54oNvLVc0T664EkxE+abPsgK/EMyZM4dp06bRt29f4uPjeeedd0hJSWHWrFlA+TpdaWlprFq1CoBZs2bxz3/+kzlz5vDAAw+wa9culi9fzpo1a8z3fO655xg4cCAdOnQgLy+PN954gwMHDvDmm2/WOV89SEWpnmSbh9p1pCeXKaCAHJQsCaubElXMAb6nvepKgKZfs7Uz8NMC6MmgWscKCaEHWxaNrLi+vqZMmUJ2djYLFy4kPT2d7t27s2HDBqKjowFIT08nJSXFnD4mJoYNGzbw+OOP8+abbxIREcEbb7xhsTRATk4Of/jDH8jIyMDf35/evXvz3Xff0b9//zrnqwdNSclQpby8PPz9/RnOpCorR2WqjGKK8NJ8dIjO8ZWoYsooxVPz1juUZsmkytjPDi5yHk+8GcQYXDSZHWWNUlXCVr4gNze31kUgHVlFmZZ+PpuwIFn/rL4q3r/G/BxU5Bl/00Lc3D1rv6AapSVF7PrmGaf/DOtF2pitkKUy+I7/8BO79A7FYblrHhaVpByVTbGqes0OYV9lqoyf2MVFzuOKGz0ZJJWkGqSrFFkbTQhRLakoWcGPVpgwkU8Oeeqi3uE4vGx1jn18x352SGWpgZVXknaSRQYuuNKTQfhqLfUOy2EVKyNH+ZGdfCMzWYXD0muvN1FOKkpW8NAMhFK+P1MaJ3WOxvEZ8MIVV/K5SCLbKFIyY7AhlKlSDvI92ZzDBVd6MZgALUTvsBxaBqkoFH60km504bhMyvZDWE0qSlaqWNU4gxRKVUktqZu3FpofcQzHgBeXyGMvW7ik8vUOq8k5wwkukIkrrvRmiFSS6iCD0wCEoc9mm0LUiZ1W5hbWkYqSlVoShDe+lFFGBql6h+PwWmh+9GU43rSgiMvsZQsX1Xm9w2pSIulAGFH0ZiittGC9w3F4ueoCeVxEQyOMSL3DEUI4KKkoWUnTNFoTA0j3W115aT70ZTi+tKKEYvbxHbnqgt5hObUclUWZKgPARXOhu9aflposmFgXqfwKlLcmeWjWzygSoqFp2DhGSe8HcHJSUbJBONFouJBPjnQl1ZGH5klfrieUNgQRjh+yGKU1lFKcVEfZy1Z+4aDe4Tgdoyrk3JWW4Eiu0zkaIWrRyCtzC0uy4KQNPDQD3VRf/Aho1N3GnZ2r5kZ3NQATJvOq0aWqhCIKaaHJGh+1KVZFHGYPF8i8ckbpvmmks8knF1fcaIG/rBwvhKiRVJRsFKbJIFBraJqGK7+t7fMz+8nkDB1UT9rQTv7oVyNTpfEz+yjGiAuudKEP4Zp+K9Y6qyAtjCFqPMUU6R2KELXSY2Vu8RupKNlRiSrGXfPQOwynU6bKKMGICRPH2c950uis+kgr3VWKlZHjHDB3F/ngRywDaKH56xyZ83LT3HBDPmPCCdg6c00qSjaRMUp2UKpK+EntYgcbZEFFK7hqrvRiCB3piQsuXCCT3WzipDqK6cpA5eZOobjAOTQ02tKZAdwolSQrKKW4qM7Lnm5CiDqTFiU7cMWNQi5RRimp/Ep7uukdktPRNI0oOhCkwvmZfVwgk5McJYMUeqhBzXLsUr7KoQX+aJqGQfOkm+qHBwb8NNmny1rZZHCA7/EngL5qhHTxCqegKYVmQ+XelmuFtCjZhaaVf8uH8inHsgCl9by1FvRmKN0ZgAcGSinBk+a1sW6+yuGg2skPbOY8Z83ng7RwqSTZQCnFCY4A5eugSSVJOA2THQ5hNWlRspMQWuONL5fJJ42TRNNJ75CclqaVLwAYpMK4RB5uWvnHVCnFUfYSSiSBhDa5P3R56iLJHLOoHBWQS8iV7XKEbc5zlnxycMVN/n0KIepMKkp2omkabVUnjrKX0yTRRl2Hq+zYbhM3zR1/As0/n+cs6ZwmndO0wJ8o1ZEw2uDixO+zUorznCWVX7nIbyuVhxJJDF2aZZdjQ7i6NSmKDnhoBp0jEqLupOtNX1JRsqMwojjBEYwUcoZf5VurnfnRiig6kMZJCsjlKD+SxEFCVSQRtHXK9XA0TeO0+oVcsgEIu1JB8pEKkl2dI7W8dRJ3ouigdzhC1I/MetOVVJTsyEVzob3qxlH2cpZTRKmOTa57SE+emjcd6UmM6sIZTnKGE1cqpSc4wwkGqlEOPROsSBWSyRnOkUoP4jFoXgC0pRO5ZNOG9nhqzWs8VmMwKRMnOQpANB1lCQ/hfGxdXVtalGzidIO5Z8yYgaZpFsfAgQMt0hiNRh599FGCgoLw8fHh5ptv5syZM40SXzjRdKIX/blRKkkNxF3zIEbrzBDG0ZshhNIGP1rhw2+tML+og/yiDnJenaVEFesSZ5kq44I6R5L6id0qgR18xS8cJJcLnOO3z2OwFsF1WqxUkhpIMUW44Io7HkQ6aGuSo5drQjRnTtmidNNNN7FixQrzzx4elt8QZ8+ezX/+8x/Wrl1LYGAgTzzxBBMmTCAxMRFX14Ydz6Jpmuwd1Ug0TSOQMAIJs9jCo0yVkcZJyigjhSQAWih/WhJIC1riRyu7d9OVqTJMlJlbK3JVNnvZhrpmuok/AYQSRSht7Jq/qJ6n5s0ANZJCCswTAxyRI5drQl+yMre+HLfUqIHBYCAsLKzK13Jzc1m+fDkffPABI0eOBODDDz8kMjKSzZs3M2bMmEaLUynFRc4ToIU0Wp7N1dWtdxoa3ehPNhlcJIvL5FNALgXkAhBIGL0ZApT/jo7wIwY8MeCFG+644nblcMUDT3w0X6C8MpTJGYoxUoKRYooppIDLFGCkkEiuoxO9APDGF4UJDzwJJJRAQgkgVAYR60TTNLzx1TuMGjlLuSZ0IF1vunLKitLWrVsJCQmhZcuWXH/99fzf//0fISHllZHExERKSkoYPXq0OX1ERATdu3dn586d1RYoRqMRo/G3VbXz8vJsitGkTOxlC3lcJE5dTyst2Kb7ibpz0VwIobV5Wr1RFZFDFnlcoIBcWvHb76KEYjJIqfZe4UTTjX4AKEwc4cdq0xZRaP5/d82DwWosnnhLF6xOLqsC0jlNWzrh6sAtSRXsXa7Zu0wTorly/NLjGmPHjuWOO+4gOjqa5ORknn76aW644QYSExMxGAxkZGTg4eFBq1aWXSuhoaFkZGRUe9/Fixfz3HPP2S1OF80FX9WKPC6SxE/0UzfIH0ydGDRPQmlTZXeXhkYHelDEZYopopRSyq46PPitBcgVNwIJxQ0PPDDgXt7ehDc+eOOLO5ZdJV6aT4M/m6jeLxwki3QKuUR3+usdTo0aolyzd5km9KOZyg9brhfWc+iK0kcffcSDDz5o/vnrr79mypQp5p+7d+9O3759iY6O5quvvmLy5MnV3uvqMSxVmTdvHnPmzDH/nJeXR2RkpE3xt6MrGaSQx0XOcorWxNh0P2F/7poH0XSsU1pN0+jN0AaOSNhDlkoni3Q0NGKurJrvKBqrXGuIMk3oRLredOXQFaWbb76ZAQMGmH9u3bryCsXh4eFER0eTlFQ+aDcsLIzi4mIuXrxo8e0rMzOTQYMGVZuXwWDAYLDv+BGD5kk71ZUkfiKJnwhSYeYp4UKIhlGmyjjOAaB8cUlHW5Oqscq1hijThGiOHHp5AF9fX6677jrz4eVVuZKRnZ1Namoq4eHhAMTFxeHu7k5CQoI5TXp6OocPH66xotRQIrkOX1pRSom58BZCNJzTHKeQSxjwJIYueodTSVMo10QjU3Y4hNUcuqJ0rYKCAubOncuuXbs4deoUW7duZeLEiQQFBXHrrbcC4O/vz8yZM3niiSf43//+x/79+7nnnnuIjY01zxZpTC6aC12JQ0MjkzQyVVqjxyBEc3FZFXCKnwHoQE/cNHedI6qdM5ZronFVbGFiyyGs59Bdb9dydXXl0KFDrFq1ipycHMLDwxkxYgTr1q3D1/e3qb+vvfYabm5u3HnnnRQWFnLjjTeycuVK3dYa8dVaEq06coFMvJABvkI0lF84gAkTrQh2mrWqnLVcE6K50JSSqmZV8vLy8Pf3ZziT7PKt1KTKpx24aE7ViCeEUylSlznOATrS026zDktVCVv5gtzcXPz8HGu8U31UlGnp57MJCwrQOxynU/H+NebnoCLPEXHzcHPztPo+paVFbElc7PSfYb04VYuSM7u2gmRSJqk0CWFnnpo3PZExO6KJUYAtU/ylOcQm8pe6kZWpMn5Vh9nFJt32IBOiKTFd2VNPiKZKxijpSypKjUxh4hypFFLAMRKRnk8hbHOSo+xjO0nqkN6hCCGaIKkoNTI3zZ1YBphnwaVxUu+QhHBaOSqLUxwHyjccFqJJUvy26KRVh94P4NykoqQDPy2A64gFyrdZyFc5+gYkhBMqUcXmvffCiSZEq7xwoxBNgk2VJBtX9RZSUdJLFB0IIgwTJg7xA2WqVO+QhHAaSikOs4dCLuGJNx3pqXdIQogmSipKOtE0ja70w4AXl8nnZ/brHZIQTuMkR8kmAxdc6EE87ppH7RcJ4axMdjiE1aSipCMPzUB3+uOKGy0J0jscIZzCJZVPMscA6EwcflqrWq4QwrnpNett6dKlxMTE4OnpSVxcHNu3b68x/bZt24iLi8PT05N27drx1ltvWbz+7rvvMnToUFq1akWrVq0YOXIke/bssUizYMECNE2zOMLCwqyK316koqSzVlowQxhHay1G71CEcAo+mi89iCeajkRo0XqHI0STtG7dOmbPns38+fPZv38/Q4cOZezYsaSkpFSZPjk5mXHjxjF06FD279/PX//6Vx577DE+/fRTc5qtW7dy1113sWXLFnbt2kVUVBSjR48mLc1ya69u3bqRnp5uPg4d0ndGqyw46QCu7jYwqkJMmOy2qrAQTVGI1poQZPC2aCZsHZBtxbWvvvoqM2fO5P777wdgyZIlbNy4kWXLlrF48eJK6d966y2ioqJYsmQJAF26dGHv3r288sor3HbbbQB89NFHFte8++67fPLJJ/zvf//j3nvvNZ93c3PTvRXpatKi5EAKVC57+JYDfE+pKtE7HCEchlKKk+ooReqy3qEI0fgaedZbcXExiYmJjB492uL86NGj2blzZ5XX7Nq1q1L6MWPGsHfvXkpKqv57dvnyZUpKSggIsFzaIykpiYiICGJiYpg6dSonT+q7jI5UlByIG+4oFJfI4zA/yGKUQlxxgiOc5Cg/8q3MEBXCSnl5eRaH0WisMl1WVhZlZWWEhoZanA8NDSUjI6PKazIyMqpMX1paSlZWVpXXPPnkk7Ru3ZqRI0eazw0YMIBVq1axceNG3n33XTIyMhg0aBDZ2dn1eVS7koqSA6nYp8oFF7LIIImf9A5JCN2lqhOc4mcA2tENV01GDIhmxk4tSpGRkfj7+5uPqrrQrqZp2jVhqErnaktf1XmAl156iTVr1rB+/Xo8PX/b8Hfs2LHcdtttxMbGMnLkSL766isA3n///RpjbUhS4jgYfy2Arqofh/mBFJLwUb601trpHZYQushUaRy/snRGO7rKpAfRPJmA6usndbseSE1Nxc/Pz3zaYDBUmTwoKAhXV9dKrUeZmZmVWo0qhIWFVZnezc2NwMBAi/OvvPIKixYtYvPmzfTo0aPG0H18fIiNjSUpKanGdA1JWpQcUJgWSTu6AnCMfZxTZ3SOSIjGd1Gd5zA/ANCadsTQReeIhNCHvZYH8PPzsziqqyh5eHgQFxdHQkKCxfmEhAQGDRpU5TXx8fGV0m/atIm+ffvi7u5uPvfyyy/zt7/9jW+++Ya+ffvW+uxGo5Fjx44RHh5ea9qGIhUlBxVDFyJoC0AKv8h4JdGsFKg8DrITEyaCiaAzvWts8hdC2NecOXP417/+xXvvvcexY8d4/PHHSUlJYdasWQDMmzfPYqbarFmzOH36NHPmzOHYsWO89957LF++nLlz55rTvPTSSzz11FO89957tG3bloyMDDIyMigoKDCnmTt3Ltu2bSM5OZkffviB22+/nby8PKZPn954D38N6XpzUJqm0UXF4Yk3kVwnfyREs+KOO5744Ior3Rkgn3/RvOmwPMCUKVPIzs5m4cKFpKen0717dzZs2EB0dPnaZenp6RZrKsXExLBhwwYef/xx3nzzTSIiInjjjTfMSwNA+QKWxcXF3H777RZ5PfvssyxYsACAM2fOcNddd5GVlUVwcDADBw5k9+7d5nz1oClpqqhSXl4e/v7+DGcSbpp77Rc0kmJlxEOrurlUiKakVJWgULpvT1KqStjKF+Tm5lqM73A2FWVa+vlswoICar9AWKh4/xrzc1CR58j2s3Fztb7cLy0zsvnEEqf/DOtFut6cyGn1/9u786iozjTx498LFKuIC7KJIGqURIwKGrcYl18a1NhmmUk0MYyZtj1hZowxy3RMPH3EmTmtp7snk7GTaE6Oop1xYqZHk5g2OmoSjDaoCaJRMUoUt8giyCqyP78/DNUWBQJVFFXA8zmnPN73vnXf57116/LUXd57jjT2UCbFzg5FqQ53S25yTS6apz0Mk9OTJKWU0kSpi2iQBq7zI3XUkslBKqTU2SEp1WEqpYIMDpDFt+RK849IUKrH6uQBJ5UlTZS6CDfDjTE8SG/6UksNGRygVJw3AJdSHaUxSaqiEl960ZcBzg5JKRdjb5KkiZI9ulyi1PSpwo2v3/3ud+Y606dPt5q/YMECJ0bdMTwME2OZSm/6UUsNx/iaIsl3dlhK2eymlJPBAaq5hS/+xDENb8PH2WF1up68X1PK1XW5u95yc3Mtpnfv3s3ixYstrqwHWLJkCf/yL/9invbx6R47X5PhSaw8xHekcYMCjnOIGJlAsBHu7NCUapcKKeUYB6mhCj96E8tDeBnerb+xG+rp+zXVCifc9ab+qsslSk2fKPzpp58yY8YMhgyxHL3a19fXpZ4+3JE8DA/GyBRO8Q0FXKWaW84OSal2qZYqvuEr6qmjFwHEMhXPHpokge7XVCsa7Dx91qCJkj263Km3O+Xn57Nr1y4WL15sNW/r1q0EBgYycuRIXn31VcrLy++6rOrqaqsHBroyN8OdUUxgNJOJMO5xdjhKtYuX4U0Ew+hDIHFM69FJUlMdtV/ravs0pVxVlzuidKctW7bg7+/PE088YVG+cOFCoqKiCAkJ4dSpU7z++uucOHHCanj1O61Zs4bVq1c7OuQOZRgGAwgzT9dINVc5z2CicTO6dA6suiERoZ4687hkQxiJILqtNtFR+7WuuE9TLZCG2y973q9s5tIDTm7dupXnn3/ePL17926mTp1qno6OjuZnP/sZf/jDH+66nIyMDMaNG0dGRgaxsbHN1qmurqa6uto8XVZWxqBBg1xuwMmWiAiZHOQGBfRlAKOYqANTKpfRIPWc5ltucZM4puFuuDs7pDbr6AEnO2u/1tI+TQectI1TB5wc9A94uNkx4GRDNfuvrNcBJ23k0keU5s2bx4QJE8zTAwcONP//4MGDnD17lo8++qjV5cTGxmIymcjOzm4xUfLy8mrxAYFdgWEYhMswSrlBMdc5yheMlsn4G32cHZrq4Wqkmu9Ip4RCDAxKKaQfzT+BvCforP1aV9+nqTvoNUpO5dKJkr+/P/7+/s3O27hxI3FxcYwePbrV5Zw+fZra2lqnPn24MwQZYfjKDE6Qxi1u8g1fMVLG6x1xymlK5QYnOUwVlbjjwf1Mop/Rc5Mk0P2aUl2NSydKLSkrK+NPf/oT//7v/2417/z582zdupU5c+YQGBhIVlYWr7zyCmPHjmXKlClOiLZz9TICeED+Hyc5zA0KOMlhKiSaIYzUB4uqTiMiXOU85ziBIPjgx2gm08sIcHZoLkv3a6pFOjyAU3XJqyi3bduGiPD0009bzfP09OSLL74gISGBESNGsGzZMuLj49m/fz/u7l3nugh7mAxPxvAgEdy+Gy6PK9RR6+SoVE9ygSzOchxBGEAYE3hYk6RW6H5NtUiw8xEmzu5A1+bSF3M7U+NFdF3lYu6W5Mol/Omjf6RUp7olN/mGLxlMNIMY1qWPZnb0xdzO0rhP04u5bePUi7lDn8fDzfYHRNc11LA/970uvw07S5c89abaLtSItJi+LNlUUckwYnDrQnceKdcmIpRTQm+jLwA+hh+TZTYehu5ilLKbnnpzKt2L9SDVcosfOEkDDdyggBh5QI80KbtVyy3OcIxCchkjUwg0bl9crEmSUh2koQGwYyykBh1HyR5d8holZRsvw4dRTMSEFxWUcpQvuCI/oGdflS1EhFy5RDp7KSQXA4NKbjo7LKWU6lD6k6+HGWCEMVH6kcU3FJHPWY5znWtESyy+Ri9nh6e6iDuPIgH404eRjNcjlEo5gp56cyo9otQDeRnejOFBhjMaN9y4QQFH+YI60TvjVOvy5arFUaShjGQ8MzVJUspR7Lrjzc4kS+kRpZ7KMAwiuIdACeV7jtGHAV367j7VueqoxZ++jGScJkhKqW5NE6UeztfoxViZalFWIkX8yAXu4X59XpyiTmqpoJQ+RiDA7ZHeZSIDCNMH2irVGfQRJk6liZKyGONGRPieY1RQSiG5DJGRDCRK/yD2QCLCNS5ynlMIwmSZhcm4PZaLPhZHqc4j0oCI7Xeu2fNepYmSasIwDO6VWM78lCydJZPLZDNURhJMeJceOFC1XYkUcpYTlFMMgC+9qKISE7YPeqeUspGIfUeF9Bolu2iipKwEGP15QP4fP3KBHM5wiwpOcYRLnGO43E9fY4CzQ1QOclPKuEAW+VwFwB0PhnAfgximRxWVUj2SJkqqWW6GG4MYRqgM5jLnuMQ5yimmmipnh6YcpEaqOcx+5KeB7QYSxVBG4ml4OzkypXo4sfMaJT2iZBdNlNRdeRi3jyiEy1CukUMwf702pUB+xAtvAoz+ToxQ2aNKKvE2fAHwNLwIkQjqqGEI9+Fv9HFucEqp2xoawLDjOiO9RskumiipNvE0vBhMtHm6Xur5nmPUUE0fCSSS4QQSqtcwdRHlUkIOZyjgRybKz8y3+N9HnH6GSil1B02UlE3qqaM/IeRxmRIKKaEQP/yJkOGEEqEP3HVBIkIhuVzhPDfIN5ffoIBe3E6UNElSygXpqTen0kRJ2cTT8GIk4xkqMVwhm6tc4CblnCGD85zmPokzPxxVOVe91HGFH7jKBaqoNJcHE04U9+qAkUq5OGloQOw49abDA9hHEyVlF2/Dh3u4nyi5lx/J4TLZVHMLb3zNdWqkGg9MeteUkxi4cZlsaqjGhCdhDGYgQ/TZfkop1QaaKKkO4WGYiGQ4g2QYxVy3OEpxluMUc51QiSCMwfgZvZ0YafdWJZXkc5VirjOayRiGgZvhxlCJwcAgmEG462lRpboWPfXmVJooqQ7lZrjRn2DzdIM0UEoRNVRx6adhBgKkH6EMZgBheOmt53arkWoKuEoeVyih0FxeSC4DCANgoBHlrPCUUvZqEDA0UXIWTZSUQ7kZbkyWWRSSxzVyKCKPUm5Qyg2+5xgDJYp7jThnh9kllckNznOaGxQgd/za7EN/gokgAB22QSml7KWJknI4N8ONIMIIIoxqqSKXSxRwlTKK8cHPXK9WarjEWQYQRm/66R1YdxARyriBG+53jG9kUPTT3Wv+9CGEQQQzyDwuklKqmxAB7BlHSY8o2UMTJdWpvAxvBjOCwYygSipx46/XyxSSx0XOcpGzmPCkjwTSlwH0IRB/+vS4xKlKKikinyLyuUE+ddQSQgQxPADcTo6GM5r+hOBn+Ds5WqWUo0iDIHacehNNlOziUrch7dixg4SEBAIDAzEMg+PHj1vVqa6u5oUXXiAwMBA/Pz/mzZvH1atXLeoUFxeTmJhIQEAAAQEBJCYmUlJS0jmdUG3mbfjiaXiZp33wJZhw3PGglhquc41znOAoX5DKpxTLdSdG2zlEhFNylL/Ibg7xOWfIoICr1FGLBybc7/htYxgGEcY9miS5ON2vKbtJg/0vG7z77rtERUXh7e1NXFwcBw8evGv9AwcOEBcXh7e3N0OGDGHDhg1WdbZv3859992Hl5cX9913Hx9//LHd7TqaSyVKN2/eZMqUKaxdu7bFOsuXL+fjjz9m27ZtHDp0iIqKCubOnUt9fb25zjPPPMPx48fZs2cPe/bs4fjx4yQmJnZGF5Qd+hiBjDImMo15jGMGw4ihPyG440E9dfjy19vZL8gZ0mUvJ+UIOfI91+Uat+Rml/jlVCPVlEoRV+UCWZLBKTlqnmcYBhWUcoubAPSmH1Hcyzim8xA/514j1llhKxvpfk11RR999BHLly9n5cqVZGZmMnXqVGbPns3ly5ebrZ+Tk8OcOXOYOnUqmZmZvPHGGyxbtozt27eb66SnpzN//nwSExM5ceIEiYmJPPXUUxw5csTmdjuDIS74l+XixYtERUWRmZnJmDFjzOWlpaUMGDCADz74gPnz5wNw7do1Bg0axOeff05CQgJnzpzhvvvu4/Dhw0yYMAGAw4cPM2nSJL7//ntGjBjRphjKysoICAhgOo/iYZg6vI+q7USEm5RZDDlwQtK4zjWruh6Y8KM3o5lsPlp1U8oBwQtfPAzHn21ukAbqqLU4WvaDnOIG+VRSQR21FvUN3JjBY+ZxpgolFwM3etMXk+Hp8HjV3dVJLal8SmlpKb172z60hbP3a437tNzrRYQE9rO5Hz1V4/qzdzuwpc3pxuN2/R2qk1pS5eN2xT5hwgRiY2NZv369uezee+/lscceY82aNVb1X3vtNXbu3MmZM2fMZUlJSZw4cYL09HQA5s+fT1lZGbt37zbXmTVrFn379uXDDz+0qd3O0KWuUcrIyKC2tpb4+HhzWVhYGDExMaSlpZGQkEB6ejoBAQHmnQnAxIkTCQgIIC0trc2JknIdhmGYH7HRaARjGUgUFZT+9CrjJmXUUUs5JZj4a4JxnlMU8CMAHmLCCx+88MYdEx54cB/jzNc/FUoe1dzC/adrpxoQ5Kd/BWGQMdS83B8l56ehD6qppYZaqqmhmjpqccONGfK4ebmVlFNGsfm9Xvjghz+96UtvLP9o6YjmPYvu11SrpAH7LuZu33tramrIyMhgxYoVFuXx8fGkpaU1+5709HSLbRggISGBjRs3Ultbi8lkIj09nZdeesmqzltvvWVzu52hSyVKeXl5eHp60rdvX4vy4OBg8vLyzHWCgoKs3hsUFGSu05zq6mqqq6vN06WlpQC3f/273DE35YEHfQikD4HmsgYaqKSCaiqpp878uQmYT9/VUUsdtdyk7Kd3GYxgjLnuZbItnoPWVIgMwuCnpIrcZo9qNcZyk3K8xQeAsJ/GjfKhFz74WlxrdLt+PQ1S39yilJM1HgF01MF3R+3XWtqnlZeX4evZpXb9LqGs7PY+wxknYez9O9S4DTf2oZGXlxdeXl5W9QsLC6mvryc4ONii/M5tsqm8vLxm69fV1VFYWEhoaGiLdRqXaUu7ncFp35atW7fy/PPPm6d3797N1KlTbVqWiFjcEdXc3VFN6zS1Zs0aVq9ebVV+iM9tikl1FUIqn7a59gF2trnuYfbaEpByUUVFRQQE3P25eK60X2tpnzZ8iA4+ao/y8vJWt4OO4unpSUhICIfy7P871KtXLwYNGmRRtmrVKpKTk1t8T9Ntq7W/o83Vb1relmW2t11Hc1qiNG/ePIvDyAMHDmz1PSEhIdTU1FBcXGzx66ugoIDJkyeb6+TnWx8RuH79ulWWeqfXX3+dl19+2TxdUlJCZGQkly9f7rQvxZ3KysoYNGgQV65c6bTz4a4Wg7Pbd4UYenr7rhBDaWkpERER9OvX+nU9rrRfc7V92p2c/ZnaEoeIUF5eTlhYWCdFB97e3uTk5FBTU2P3sppLNpo7mgQQGBiIu7u71VGcgoKCFre3kJCQZut7eHjQv3//u9ZpXKYt7XYGpyVK/v7++Pu377bmuLg4TCYT+/bt46mnngIgNzeXU6dO8dvf/haASZMmUVpaytGjR3nggdvjzRw5coTS0lLzTqc5LR2CDAgIcOoXuXfv3k5t3xVicHb7rhBDT2/fFWJwc2v9JmFX2q+56j7tTs7+TNsbhzMSTG9vb7y9O/dRT56ensTFxbFv3z4ef/xxc/m+fft49NFHm33PpEmT+OyzzyzK9u7dy7hx4zCZTOY6+/bts7hOae/eveZt2JZ2O4W4kKKiIsnMzJRdu3YJINu2bZPMzEzJzc0110lKSpLw8HDZv3+/HDt2TGbOnCmjR4+Wuro6c51Zs2bJ/fffL+np6ZKeni6jRo2SuXPntiuW0tJSAaS0tLTD+teV2neFGJzdvivE0NPbd4UY7G3fVfZrzl6PrhiLq8ThirZt2yYmk0k2btwoWVlZsnz5cvHz85OLFy+KiMiKFSskMTHRXP/ChQvi6+srL730kmRlZcnGjRvFZDLJ//7v/5rr/OUvfxF3d3dZu3atnDlzRtauXSseHh5y+PDhNrfrDC6VKKWkpDQ+ItnitWrVKnOdW7duydKlS6Vfv37i4+Mjc+fOlcuXL1ssp6ioSBYuXCj+/v7i7+8vCxculOLi4nbF4uwvkLPbd4UYnN2+K8TQ09t3hRjsbd9V9mvOXo+uGIurxOGq3nnnHYmMjBRPT0+JjY2VAwcOmOctWrRIpk2bZlE/NTVVxo4dK56enjJ48GBZv3691TL/9Kc/yYgRI8RkMkl0dLRs3769Xe06g0slSq6kqqpKVq1aJVVVVT2yfVeIwdntu0IMPb19V4jB2e13FFfqh6vE4ipxKNfmkgNOKqWUUkq5Apd6hIlSSimllCvRREkppZRSqgWaKCmllFJKtUATJaWUUkqpFvTIRGnHjh0kJCQQGBiIYRgcP37cqk51dTUvvPACgYGB+Pn5MW/ePK5evWpRp7i4mMTERAICAggICCAxMZGSkhKbYjIMo9nX7373O3Od6dOnW81fsGCBTe019dxzz1kte+LEiRZ12rJObFFbW8trr73GqFGj8PPzIywsjL/7u7/j2jXL56g5sv/Neffdd4mKisLb25u4uDgOHjzokHbWrFnD+PHj8ff3JygoiMcee4yzZ89a1GnL52OP5ORkq+WHhISY54sIycnJhIWF4ePjw/Tp0zl9+nSHtT948OBmt/9/+qd/AhzT/6+//pqf//znhIWFYRgGn3zyicX8tvTZUd8JW7V3mz1w4ABxcXF4e3szZMgQNmzY4PB2c3NzeeaZZxgxYgRubm4sX77cqs7mzZub3R6qqqocGtuhQ4eYMmUK/fv3x8fHh+joaP7jP/6j3W2qbsa5N905xx//+EdZvXq1vP/++wJIZmamVZ2kpCQZOHCg7Nu3T44dOyYzZsxodgC4mJgYSUtLk7S0NImJiWn3wJaNcnNzLV6bNm0SwzDk/Pnz5jrTpk2TJUuWWNQrKSmxqb2mFi1aJLNmzbJYdlFRkUWdtqwTW5SUlMjDDz8sH330kXz//feSnp4uEyZMkLi4OIt6jux/U42Dnr3//vuSlZUlL774ovj5+cmlS5c6vK2EhARJSUmRU6dOyfHjx+WRRx6RiIgIqaioMNdpy+djj1WrVsnIkSMtll9QUGCev3btWvH395ft27fLyZMnZf78+RIaGiplZWUd0n5BQYFF2/v27RNAvvrqKxFxTP8///xzWblypWzfvl0A+fjjjy3mt6XPjvpO2KK922zjAIEvvviiZGVlyfvvv281QKAj2s3JyZFly5bJli1bZMyYMfLiiy9a1UlJSZHevXtb7Rfbq72xHTt2TP77v/9bTp06JTk5OfLBBx+Ir6+vvPfee+1uW3UfPTJRapSTk9NsolRSUiImk0m2bdtmLvvxxx/Fzc1N9uzZIyIiWVlZAliMKJqeni6AfP/993bH9uijj8rMmTMtyqZNm9bsTqUjLFq0SB599NEW57dlnXSko0ePCmCxQ3Nk/5t64IEHJCkpyaIsOjpaVqxY4fC2CwoKBLAa3O1un4+9Vq1aJaNHj252XkNDg4SEhMjatWvNZVVVVRIQECAbNmxwSDwvvviiDB06VBoaGkTE8f1vmii1pc+d/Z1oTXu32V/96lcSHR1tUfb888/LxIkTHdrunVr6TqekpEhAQEC74ujo2Bo9/vjj8uyzz9odi+q6euSpt9ZkZGRQW1tLfHy8uSwsLIyYmBjS0tIASE9PJyAgwOIBmBMnTiQgIMBcx1b5+fns2rWLxYsXW83bunUrgYGBjBw5kldffZXy8nK72rpTamoqQUFBDB8+nCVLllBQUGCe15Z10pFKS0sxDIM+ffpYlDuy/41qamrIyMiw6CtAfHy8Q/raVGlpKYDVQ1jv9vl0hOzsbMLCwoiKimLBggVcuHABgJycHPLy8izWh5eXF9OmTXPI+qipqeG//uu/+MUvfmHxEE9H9/9ObelzZ38n7saWbTY9Pd2qfkJCAt9++y21tbUOa7etKioqiIyMJDw8nLlz55KZmdmu93dEbJmZmaSlpTFt2rR2ta26F6c9FNeV5eXl4enpafEkb4Dg4GDzU43z8vIICgqyem9QUJDVk4/ba8uWLfj7+/PEE09YlC9cuJCoqChCQkI4deoUr7/+OidOnGDfvn12tQcwe/ZsnnzySSIjI8nJyeHXv/41M2fOJCMjAy8vrzatk45SVVXFihUreOaZZyweVOnI/t+psLCQ+vp6q6dVO6KvTYkIL7/8Mg8++CAxMTHm8tY+H3tNmDCBP/7xjwwfPpz8/Hz+7d/+jcmTJ3P69Glzn5tbH5cuXbK77aY++eQTSkpKeO6558xlju5/U23pc2d+J1pjyzabl5fXbP26ujoKCwsJDQ11SLttER0dzebNmxk1ahRlZWX853/+J1OmTOHEiRPcc889bVqGPbGFh4dz/fp16urqSE5O5pe//KXNfVFdX7dPlLZu3crzzz9vnt69ezdTp061aVkiYvEL987/t1THlpg2bdrEwoULrZ4YvWTJEvP/Y2JiuOeeexg3bhzHjh0jNja2zf1orv358+dbLHvcuHFERkaya9cuq4TtTm3pb1vab+x/bW0tCxYsoKGhgXfffdfifR3V/7Zq2i9b+tpeS5cu5bvvvuPQoUMW5bZ+Pm01e/Zs8/9HjRrFpEmTGDp0KFu2bDFfNN1Z62Pjxo3Mnj2bsLAwc5mj+98SW/rcGdtJS9obb3P1myvv6HZbM3HiRIuL9adMmUJsbCx/+MMfWLduncNjO3jwIBUVFRw+fJgVK1YwbNgwnn766Xa1q7qPbp8ozZs3z+L02MCBA1t9T0hICDU1NRQXF1v8WiwoKGDy5MnmOvn5+VbvvX79utUvmPbEdPDgQc6ePctHH33UapyxsbGYTCays7PblSi0ZZ2EhoYSGRlJdnY20LZ1Ym/7tbW1PPXUU+Tk5PDll19aHE1qjq39b01gYCDu7u5WvzoLCgpa/Wzt8cILL7Bz506+/vprwsPD71q36efT0fz8/Bg1ahTZ2dk89thjwO0jEHceZXDE+rh06RL79+9nx44dd63n6P433vF3tz535HfCXrZssyEhIc3W9/DwoH///g5r1xZubm6MHz++XZ+3PbFFRUUBt3805Ofnk5ycrIlSD9btr1Hy9/dn2LBh5pePj0+r74mLi8NkMlmc0snNzeXUqVPmHeCkSZMoLS3l6NGj5jpHjhyhtLS01Z3k3WLauHEjcXFxjB49utU4T58+TW1tbZsOkbe1/UZFRUVcuXLFvOy2rBN72m9MkrKzs9m/f3+bdtS29r81np6exMXFWZ3S27dvn0P+AIoIS5cuZceOHXz55ZfmnfTdNP18Olp1dTVnzpwhNDTUfLrzzvVRU1PDgQMHOnx9pKSkEBQUxCOPPHLXeo7uf1v63JHfCXvZss1OmjTJqv7evXsZN24cJpPJYe3aQkQ4fvx4uz7vjopNRKiurm5zfdUNOeECcqcrKiqSzMxM2bVrlwCybds2yczMtLj9NCkpScLDw2X//v1y7NgxmTlzZrPDA9x///2Snp4u6enpMmrUKJuHBxARKS0tFV9fX1m/fr3VvB9++EFWr14t33zzjeTk5MiuXbskOjpaxo4da/etyOXl5fLKK69IWlqa5OTkyFdffSWTJk2SgQMHWt0K3do6sUVtba3MmzdPwsPD5fjx4xa3A1dXVzu8/81pvK1448aNkpWVJcuXLxc/Pz+5ePFih7f1D//wDxIQECCpqakWfa+srBSRtn8+9njllVckNTVVLly4IIcPH5a5c+eKv7+/ub9r166VgIAA2bFjh5w8eVKefvrpDh0eQESkvr5eIiIi5LXXXrMod1T/y8vLJTMzUzIzMwWQN998UzIzM813Wralz476TtiitW12xYoVkpiYaK7fODzASy+9JFlZWbJx40a7hgdoa7siYl7vcXFx8swzz0hmZqacPn3aPD85OVn27Nkj58+fl8zMTPn7v/978fDwkCNHjjg0trffflt27twp586dk3PnzsmmTZukd+/esnLlyna1q7qXHpkopaSkCGD1WrVqlbnOrVu3ZOnSpdKvXz/x8fGRuXPnyuXLly2WU1RUJAsXLhR/f3/x9/eXhQsXSnFxsc1xvffee+Lj49Ps2ECXL1+Whx56SPr16yeenp4ydOhQWbZsWYeMpVNZWSnx8fEyYMAAMZlMEhERIYsWLbLqb1vWiS0ah2lo7tU4jo4j+9+Sd955RyIjI8XT01NiY2MtbtfvSC31PSUlRUTa/vnYo3GMIJPJJGFhYfLEE09Y/OFqaGiQVatWSUhIiHh5eclDDz0kJ0+e7LD2RUT+7//+TwA5e/asRbmj+v/VV181u94XLVokIm3rs6O+E7a62za7aNEimTZtmkX91NRUGTt2rHh6esrgwYOb/ZHmiHabW++RkZHm+cuXL5eIiAjx9PSUAQMGSHx8vKSlpTk8tnXr1snIkSPF19dXevfuLWPHjpV3331X6uvrbWpbdQ+GyE9X7ymllFJKKQvd/holpZRSSilbaaKklFJKKdUCTZSUUkoppVqgiZJSSimlVAs0UVJKKaWUaoEmSkoppZRSLdBESSmllFKqBZooKfWTixcvYhgGhmEwZswYu5fXuKw+ffrYvSyluprmtv/Nmzeby5cvX25R/8svvyQ6OpqGhobODfQOr776KsuWLXNa+8o1aaKkVBP79+/niy++sHs5ubm5vPXWW/YHpJQDPffcc+bk5c7XrFmzrOpGRUWxZ88eUlNTMQyDkpKSuy47JSWFc+fOmafnz59Pbm4ukyZNsqr7q1/9ipUrV+Lm5rg/SwcOHCAuLg5vb2+GDBnChg0brGJISUkhJyfHYTGorkcTJaWa6N+/f5ufnn43ISEhBAQEdEBESjnWrFmzyM3NtXh9+OGHFnW+++47ioqKmDFjRpuX26dPH4KCgszTPj4+hISE4OnpaVEvLS2N7OxsnnzySfs6chc5OTnMmTOHqVOnkpmZyRtvvMGyZcvYvn27uU5QUBDx8fFWCZTq2TRRUt3S9evXCQkJ4Te/+Y257MiRI3h6erJ37952Leu5557jscce4ze/+Q3BwcH06dOH1atXU1dXxz//8z/Tr18/wsPD2bRpU0d3Q6lO4eXlRUhIiMWrb9++FnU+/fRTEhIS8PLy6vD2t23bRnx8PN7e3gCICA8//DCzZs2i8SlbJSUlREREsHLlSpva2LBhAxEREbz11lvce++9/PKXv+QXv/gFv//97y3qzZs3zypJVD2bJkqqWxowYACbNm0iOTmZb7/9loqKCp599ln+8R//kfj4+HYv78svv+TatWt8/fXXvPnmmyQnJzN37lz69u3LkSNHSEpKIikpiStXrjigN0o5386dO3n00Ucdsuyvv/6acePGmacNw2DLli0cPXqUdevWAZCUlERwcDDJycnmer169brra/bs2ea66enpVt/9hIQEvv32W2pra81lDzzwAFeuXOHSpUsO6avqejycHYBSjjJnzhyWLFnCwoULGT9+PN7e3qxdu9amZfXr149169bh5ubGiBEj+O1vf0tlZSVvvPEGAK+//jpr167lL3/5CwsWLOjIbijlcH/+85/p1auXRdlrr73Gr3/9awB+/PFHTpw4wZw5cxzS/sWLFwkLC7MoGzhwIO+99x6JiYnk5+fz2WefkZmZiclkMtc5fvz4XZfr4+Nj/n9eXh7BwcEW84ODg6mrq6OwsJDQ0FBzu40xRUZG2tMt1U1ooqS6td///vfExMTwP//zP3z77bfmQ/vtNXLkSIuLTIODg4mJiTFPu7u7079/fwoKCuyOWanONmPGDNavX29R1q9fP/P/d+7cyZQpUyzKOtKtW7ea/W4++eSTfPzxx6xZs4b169czfPhwi/nDhg1rVzuGYVhMN57Wu7O8MbmqrKxs17JV96WJkurWLly4wLVr12hoaODSpUvcf//9Ni3nzl+xcHvH2lyZM29tVspWfn5+d006HHnaDSAwMJDi4mKr8srKSjIyMnB3dyc7O9tqftOjYE1NnTqV3bt3A7dvrsjLy7OYX1BQgIeHh8XNGzdu3ABun75XCjRRUt1YTU0NCxcuZP78+URHR7N48WJOnjxpdfhdKdWyiooKvvrqK9555x2HtTF27FiysrKsyl955RXc3NzYvXs3c+bM4ZFHHmHmzJnm+e059TZp0iQ+++wzi/l79+5l3LhxFj96Tp06hclkYuTIkTb2RnU3miipbmvlypWUlpaybt06evXqxe7du1m8eDF//vOfnR2aUi6lurra6miLh4cHgYGB7Nmzh3vuuYchQ4Y4rP2EhAS2bNliUbZr1y42bdpEeno6sbGxrFixgkWLFvHdd9+Z78hrz6m3pKQk3n77bV5++WWWLFlCeno6GzdutLrD7eDBg0ydOtUiyVI9m971prql1NRU3nrrLT744AN69+6Nm5sbH3zwAYcOHbK6FkOpnm7Pnj2EhoZavB588EHg9rAATU+7NZ5i9vDomN/azz77LFlZWZw9exa4PbzH4sWLSU5OJjY2FoBVq1YRFhZGUlKSTW1ERUXx+eefk5qaypgxY/jXf/1X1q1bx9/8zd9Y1Pvwww9ZsmSJfR1S3YoeUVLd0vTp0y1u+QWIiIhodSTh5mzevNmqLDU11ars4sWL7V62Us62efPmZrdxgPr6ej7//HPzdT6NCgoK8PPza/Uaobbq27cvS5cu5c033+S9995jwIABzR7hOnLkiF3tTJs2jWPHjrU4f9euXbi7u/O3f/u3drWjuhc9oqRUE5MnT2by5Ml2L6dXr142//pVyhUUFRXx0ksvMX78eOD2KbqsrCzefvttHn744Vbf//TTTxMeHm6e3rp1K7169eLgwYNWdVeuXElkZCT19fUd14F2unnzJikpKR12pEx1D4Y03h+pVA9XV1dnPirk5eXFoEGD7FreDz/8ANweOiAqKsre8JRyuk8++YTExEQmT57M+++/T0RERIt1m9v+y8vLyc/PB24/3iQwMNDxQStlJ02UlFJKKaVaoKfelFJKKaVaoImSUkoppVQLNFFSSimllGqBJkpKKaWUUi3QREkppZRSqgWaKCmllFJKtUATJaWUUkqpFmiipJRSSinVAk2UlFJKKaVa8P8BqzroW+xgNnEAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 640x480 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.0 0.0\n"
     ]
    }
   ],
   "source": [
    "#反射結合データのグラフの出力\n",
    "E = E_CC_R \n",
    "\n",
    "fig, ax = plt.subplots()\n",
    "plt.imshow(E.T,vmin=0.0, vmax=0.2, cmap='viridis')\n",
    "plt.colorbar (label=\"E/J []\")\n",
    "\n",
    "plt.xlabel('x [m]')\n",
    "plt.ylabel('y [m]')\n",
    "plt.xticks([0,50,100,150,200,250,300,350,400],[\"-100\",\"-75\",\"-50\",\"-25\",\"0\",\"25\",\"50\",\"75\",\"100\"])\n",
    "plt.yticks([0,50,100,150,200,250,300,350,400],[\"-100\",\"-75\",\"-50\",\"-25\",\"0\",\"25\",\"50\",\"75\",\"100\"])\n",
    "\n",
    "theta2 = np.linspace(0, 2*np.pi, 100)\n",
    "a = 2*r * np.cos(theta2) + 200\n",
    "b = 2*r * np.sin(theta2) + 200\n",
    "plt.plot(a,b, color='black', linestyle=\"dashed\") #円の描写しない場合はここをコメントアウト\n",
    "\n",
    "theta3 = np.linspace(0, 2*np.pi, 100)\n",
    "c = 4*r * np.cos(theta2) + 200\n",
    "d = 4*r * np.sin(theta2) + 200\n",
    "plt.plot(c,d, color='black', linestyle=\"dashed\") #円の描写しない場合はここをコメントアウト\n",
    "\n",
    "x = np.linspace(0, 401, 401)\n",
    "\n",
    "# create new axes on the right and on the top of the current axes.\n",
    "divider = make_axes_locatable(ax)\n",
    "axtop = divider.append_axes(\"top\", size=0.8, pad=0.3, sharex=ax)\n",
    "plt.title(\"\\\"the ceiling of the cavern\\\" θ = {}, R = {}\".format(theta,R_f))\n",
    "# plt.title(\"max = {}\".format(np.max(E)))\n",
    "plt.yticks([0,0.10,0.20,0.30],[\"0.0\",\"0.1\",\"0.2\",\"0.3\"])\n",
    "plt.ylabel('E/J [](y=0)')\n",
    "axright = divider.append_axes(\"right\", size=0.8, pad=0.5, sharey=ax)\n",
    "\n",
    "\n",
    "axtop.plot(x, E[:,200]) #marker=\"o\", ms=1, mfc=\"k\", mec=\"k\")\n",
    "axtop.axis([0,400, 0, 0.35])\n",
    "plt.ylim([0, 0.25])\n",
    "\n",
    "plt.xlabel('E/J [](x=0)')\n",
    "\n",
    "\n",
    "axright.plot(E[200], x) #marker=\"o\", ms=1, mfc=\"k\", mec=\"k\")\n",
    "axright.axis([0, 0.35, 0, 400])\n",
    "plt.xticks([0,0.15,0.30],[\"0.0\",\"0.15\",\"0.3\"])\n",
    "\n",
    "# plt.tight_layout()\n",
    "\n",
    "plt.show()\n",
    "\n",
    "print(np.max(E),np.min(E))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "#反射結合データのグラフの出力\n",
    "E = E_CC_all \n",
    "\n",
    "fig, ax = plt.subplots()\n",
    "plt.imshow(E.T,vmin=0.0, vmax=0.2, cmap='viridis')\n",
    "plt.colorbar (label=\"E/J []\")\n",
    "\n",
    "plt.xlabel('x [m]')\n",
    "plt.ylabel('y [m]')\n",
    "plt.xticks([0,50,100,150,200,250,300,350,400],[\"-100\",\"-75\",\"-50\",\"-25\",\"0\",\"25\",\"50\",\"75\",\"100\"])\n",
    "plt.yticks([0,50,100,150,200,250,300,350,400],[\"-100\",\"-75\",\"-50\",\"-25\",\"0\",\"25\",\"50\",\"75\",\"100\"])\n",
    "\n",
    "theta2 = np.linspace(0, 2*np.pi, 100)\n",
    "a = 2*r * np.cos(theta2) + 200\n",
    "b = 2*r * np.sin(theta2) + 200\n",
    "plt.plot(a,b, color='black', linestyle=\"dashed\") #円の描写しない場合はここをコメントアウト\n",
    "\n",
    "theta3 = np.linspace(0, 2*np.pi, 100)\n",
    "c = 4*r * np.cos(theta2) + 200\n",
    "d = 4*r * np.sin(theta2) + 200\n",
    "plt.plot(c,d, color='black', linestyle=\"dashed\") #円の描写しない場合はここをコメントアウト\n",
    "\n",
    "x = np.linspace(0, 401, 401)\n",
    "\n",
    "# create new axes on the right and on the top of the current axes.\n",
    "divider = make_axes_locatable(ax)\n",
    "axtop = divider.append_axes(\"top\", size=0.8, pad=0.3, sharex=ax)\n",
    "plt.title(\"\\\"the ceiling of the cavern\\\" θ = {}, R = {}\".format(theta,R_f))\n",
    "# plt.title(\"max = {}\".format(np.max(E)))\n",
    "plt.yticks([0,0.10,0.20,0.30],[\"0.0\",\"0.1\",\"0.2\",\"0.3\"])\n",
    "plt.ylabel('E/J [](y=0)')\n",
    "axright = divider.append_axes(\"right\", size=0.8, pad=0.5, sharey=ax)\n",
    "\n",
    "\n",
    "axtop.plot(x, E[:,200]) #marker=\"o\", ms=1, mfc=\"k\", mec=\"k\")\n",
    "axtop.axis([0,400, 0, 0.35])\n",
    "plt.ylim([0, 0.25])\n",
    "\n",
    "plt.xlabel('E/J [](x=0)')\n",
    "\n",
    "\n",
    "axright.plot(E[200], x) #marker=\"o\", ms=1, mfc=\"k\", mec=\"k\")\n",
    "axright.axis([0, 0.35, 0, 400])\n",
    "plt.xticks([0,0.15,0.30],[\"0.0\",\"0.15\",\"0.3\"])\n",
    "\n",
    "# plt.tight_layout()\n",
    "\n",
    "plt.show()\n",
    "\n",
    "print(np.max(E),np.min(E))"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.10"
  },
  "orig_nbformat": 4,
  "vscode": {
   "interpreter": {
    "hash": "aee8b7b246df8f9039afb4144a1f6fd8d2ca17a180786b69acc140d282b71a49"
   }
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
