IM 6.4.4 Lesson: How Many Groups? (Part 1)
Write a multiplication equation and a division equation for each sentence or diagram.
Eight $5 bills are worth $40.
There are 9 thirds in 3 ones.
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[/img]
Use the pattern blocks in the applet to answer the questions below. (If you need help aligning the pieces, you can turn on the grid.)
If a hexagon represents 1 whole, what fraction do each of the following shapes represent? Be prepared to show or explain your reasoning.
1 triangle
1 rhombus
1 trapezoid
4 triangles
3 rhombuses[br]
2 hexagons[br]
1 hexagon and 1 trapezoid
Use the pattern blocks in the applet to answer the questions below. (If you need help aligning the pieces, you can turn on the grid.)
Here are Elena’s diagrams for [math]2\cdot\frac{1}{2}=1[/math] and [math]6\cdot\frac{1}{3}=2[/math]. Do you think these diagrams represent the equations? Explain your reasoning.[br][br][img]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAA2YAAAFLCAYAAAC9eJ8/AAAgAElEQVR4Aey9B5RUVfY9vF/lqq6uzjkqWURJkkRFVHAcAyZQETPBNDoYUDHroKNiVvQ3IqYxYxxRxwijIgZEQBRRVAQExQSiCMj+1rlt/78WCR0qvHDeWr26urrqvfvO2/eEe87dB9RDJaASUAmoBFQCKgGVgEpAJaASUAmoBDIqAWT06npxlYBKQCWgElAJqARUAioBlYBKQCWgEqAGZgoClYBKQCWgElAJqARUAioBlYBKQCWQYQloYJbhB6CXVwmoBFQCKgGVgEpAJaASUAmoBFQCGpgpBlQCKgGVgEpAJaASUAmoBFQCKgGVQIYloIFZhh+AXl4loBJQCagEVAIqAZWASkAloBJQCWhgphhQCagEVAIqAZWASkAloBJQCagEVAIZloAGZhl+AHp5lYBKQCWgElAJqARUAioBlYBKQCWggZliQCWgElAJqARUAioBlYBKQCWgElAJZFgCGphl+AHo5VUCKgGVgEpAJaASUAmoBFQCKgGVgAZmigGVgEpAJaASUAmoBFQCKgGVgEpAJZBhCWhgtokHMGPGDO66667caaed9MfDMtijf39+8803m0CIvqUScL4EfvvtN5533nmq4zys4xrauJ49e/Ktt95yPrD1DmwpgW+//ZZ77LGn6hvVNwYDvXv35tKlS22J1UwPSgOzjZ7A+vXredBBB7EC4BHw649HZXAw/MyHxZEjR3Lt2rUboUT/VAk4XwJz5sxhKBRlAIcwhOH641kZHEcLVczPz+eUKVO4Zs0a54Nb78BWEli3bh1POukkAjkM4gjVNZ7VNWJnjjE4KC0t5YIFC7hhwwZbYdUOg9HAbKOnMHnyZGaHw5yECJcjR388KoOlSPAkBJmXl8fp06dvhBL9UyXgbAmsWrWKHTt2pB97cRtQfzwsgzLMJlDKgQMHsmvXrhw7dqyzwa2jt50EZs+ezbKyMoZxImuxQfWNh/VNHu5jMBjjueeeyy5dulAWCPX4owQ0MGsgj+XLl7OyooL94OdCJDQo82hQVh+Qf44EiwAefvjhDVCiL1UCzpaArFDeeOONhMkKP6xOkoedJAnKQziORUVFHDbsKAIBFhcX891333U2yHX0tpGAlEyfcMIJBIpZgzWqbzysbyrxFYFsHnDAAczOThh90717d/7666+2wasdBqKBWYOncMUVV9Dv9/MBzZZpUPp7UHorwkxEInzhhRcaIEVfqgScK4Hvv/+eO+ywA33YlbX4VR0lDztKRXiRoVCOKdmORhOM4TxaVilHjRrlXIDryG0lAbGd0WgOc3G36hoP6xrJlEbwd0YiEe67774EwDBOJRDihAkTtKSxwazVwOx3Ycjesm1qa3ko/BqUeDxTVp8xk9+fIME+8LO2poarV69uMHX0pUrAmRK48sorCWSxBj+po+RhR6kGq8zeMlmxbt++A33oymp8x1zcRcDitGnTnAlwHbVtJPDjjz+yU6cd6UNvVuNH1Tce1jeV+JJAPo8++mhWVlYxhBGsxXr60IM77rgjv/76a9vgNtMD0cDs9ycwYsQIVsPie4hrYKaB2R8wcDciDAQCvOmmmzI9X/X6KoEWSWDWrFkMhSKMYow6SR52kqSEMQEpZw1w2LBhjEajzEddWWs1VtKPfpSATVlpWzTdPP/liRMnMhwOswCPq77xsL6RbJkff2WnTp140EEH00I7ip4RPVSBhfT5SnjxxRd7fr7UC0ADM5IvvfQSLcviGQhyme4t+0NQ0jB75NXXgond4GebNm3q543+Vgk4TgJSx3/EEUcSKDDGUEk/vE16Int+jjrqKG677bbGaWqIh3w8Sp/Px5tuutlxONcB20cC2223HQPYX4MyDwdlolfycC8DgSAPO+wwWpafCdzyB0zEcKHRN3PnzrUPeDM4Es8HZuKsDBk8mKWAZss0U7bZoPRtxFkMSxnLMqis9NItk8Brr73GgoICZuPaPxjFhg65vvZGsCaU5dXV1TzssMMNKUMZPvgTJoIYSnGsV65c2TLg6bc9JwHZGnLmmWcSKGMFPvkTtlTPeEPPyHOW8mgfuplyxV69etFCe/NeQwxU4HNaqOV+++3Hn376yXPzZeMb9nxg9sYbb5gytXuU8GOzQYlXM2UN7/srJDgcQQaDQW3CurEW0b8dIYFdd92VPvRSJ8njq9dC+AGEOXjwYNO7TPZ6NHSS6l9XYqlxrIcMGeIIfOsg7SOBt99+mzk5OYYevx5P+ts7wVjDZ53AzQR8vOqqqwy5Xgne3KS+ERr9SCTKqVOn2gfIGRqJpwMz6UTftk0bDlTCDw3KGpEtfAtxRgEef9xxlIaZeqgEnCABoce/9dYJBGIsxDObNIoNDam+drcDFcC+3GabbTho0CACRazCss1iIoaLGAqF+L///c8JUNcx2kQCw4ePoGWVaLbM44tA5fiIPl8d4Ud5eQWDGLZZXSN2R/pqChGI17P0ng7Mxo0bxxDABzVbpoFZIwIzyaDdhBCzsrL40Ucf2cQE6jBUAluWwJdffmk2XQuhQy3WbdEwalDm7qCsAE8wFIrzjjvuMLTV+Zi8RTxIGRIQN32HpDxND5XA1iQgtlHIZHLwry1iS3WNu3WN2JogDmVFRQX32GNPAjkswetbxEQx/kcgj5dccsnWYObq/3s2MFu8eLEhc9gHfi5Rwg8NzBoZmElJY3dY3GmnnbQW2tWq0T03N378ePr9uSzDnC0aRXWU3O0oSWZM2iTsueeerKysNMyLNVi9VUwUYgqDwQSfeeYZ90wKvZOUSGDVqlXs3LkzfdhNm0l7PFtWVzKd4DHHHMOqqiqGMWqrukbo82Vva1VVNb1MBOLZwOz0009nheXjB8jWoKSRQUnDPVdefi1Np/0Ab7vttpQYNz2pSiBZEpg/fz7z8vIYxVlbNYoamLk7MJPm0cK0KI6S3++nMC829pnLyndJSQllQVMPlcDmJCD0+MJwnY+HGo2txmJQP+cs/eRDX8q+5oMOOogWtmFjFoHkGVfhG/p8hTzttNM2BzPXv+/JwGzGjBnGsT4XQQ3KNChrMgYWI8HOv2fNtM+P63WkY29wzZo1dfTEaMUKfKqOkodXsIX1DCjhkUce+XtZ61+bhIdivGoIQ8aOHcvffvvNsXNCB546CUi2rEuXLvRhZ9M4WAMpZwVSyXxewvwbj8d5zjnnEAgyD/c3Sd/kQPZEBzh9+vTUAdbGZ/ZcYCbKY//992etNpNuckDi5SzZxvf+BrKYEwjw2muvtfH01qF5WQIvvviiYUbLwuVNMorJNNB6Lns4Z34MNCVmo0aNooUKVmJJkzERximUDfyLFi3y8rTSe9+MBGTPvs9XTlkE0Hlvj3mfiecgi4BCfd+vXz9uv/32hiq/Gj82CRPV+J4+dDdN7r///vvNIM69b3suMHvllVeYFYnyRoQ1MNFsWYswcCKCjMdi/PTTT92rIfTOHCkByWr89a9/NT1javFrk4xiJoy5XjN1jpysVkvpopQwAmAU5zYbDxZqDM2+EoE4Ui2kbNDz5s0jYDGCvzcbW6oDUqcD0ilbKZkW8pfzz7+Afn+Eske1OdfPx8MMBEKcNGlSynBr1xN7KjCT0p4ddtiBeyjhR4sCko2zR179+xVkMU/o848/ntKoXA+VgF0k8O9//5uBQC4L8WyzjGJzDKl+x36OlaxUS2mZUFDvtddehmGxEoubjYkc3GZKkyZPnmwXqOs4MiwBsX3HHXccgSjLsaDZ2FL9YT/90dRnUo4P6fcX8Pzzz2dNTQ3DGNkiPAQx2JD0/fzzzxlGeXov75nATHr5XHzxxcwG+DSiGphotiwpGDgDQRYWFHD27Nnpnbl6NZXAZiSwbNkyQ1EsPWFq8HOLDGNTDbN+3l7OVQ5uZyAQ4COPPMJQKMJ8PNIiPAiepEypb9++/O677zaDQH3bSxL4+OOPzX6ibFzfImyp7rCX7mjq85DKDCk/FFbOgQMHmpJp6WPW1PM0/LwsIlmopJRge2lvq2cCswULFrC2tpaD4OcXSo+flKDEq5myhve9EAnuAMvsW/SSMdZ7ta8Err76agYCWSzGay0yig0NpL52ntNUgYW0rEIeffQxbN++Pf0YkBQ8SC+iYDCXEyZMsO8k0JGlRQKSLevTpw996KWEHx4mFxL7kIcHDEHQyJEjf2cCHtNifVOLDYZRWIhEXn/99bRg2g4X8UxgJqnVKMA5iGtQotmypGJgAiKG5fOuu+6yw5zWMXhcAgUFBYzg9BYbRQ3GnBeMNXxmARxsKO6HDRtmysyK8ELSMCElSllZcUp2Vg/vSuCWW24hEOLWGpU3xKW+drZe2dzzs7ADe/XqZejxpSl9DdYkRd9IJg5I8PDDD/fMRPNEYDZz5kzmxOO8UOnxkxqQNMwcefn1fGSzByzDIPT11197RnnojdpLAkLIMHjwYFpo0yzWvc0ZXH3feY5UCWYQyOfw4cPZoUMHSpBWi3VJcZQED2WYa+j3hVBE9m7r4T0JiK3r2rUrfdil0T2qVJc4T5c05pnFMJbFxcX85z//abLpBXg8abpGri+Bv1SBvPTSS56YaK4PzNauXctd+vZlO1h8X7NlGpilKFso+xaleet9993nCcWhN2k/CTz//POMRCKM4aKkGsXGGGb9jL0cLh/6sFu3bvzb3/5GyypgFb5NOiaycJkpWXrvvffsNxl0RCmXQH0zae2RaK+5n25dXIqZpoTxsMMO/31vc/+k722uxXoGMIiJRII//PBDyrGd6Qu4PjCTTc+xWIzjEdKgJEVBiZezZQ3vfSj8rKyspDadzrRa8971hdxo0KBBtFDNKqxIuhOebmOv12u+syfNWWVPhpTvh8NxxjEuJXiQDJyFHTlgwADKAqge3pHAZ599xpycXLP/R+dq8+eqG2QXwnHMz8/niBEjGAhEmcyS6YbyKcJ/aVkWL7nkEoq9c/Ph+sBsp5124i7wcbESfmhgmuLA9FVksQSWUVBuVhp6b/aTgGTLgsEgi/FqSpzwhgZSX9vXEZPmvlLKuvPOfbnLLrtQ+o5VYXnKMFGI5+jzZVGyJ3p4QwLr1q3jkCGH0UIVyzE/ZdhSPWNfPVP/bMow22TL/u///o8VFZUMYXhK8SBN7svKyrh69WpXTzZXB2bXXnstcwE+h5gGJSkOShpmjrz6eikSPB5+FhUV8a233nK14tCbs48EVqxYYTAnpR61+C2lhrHeIOtvezpNWbiYubn5vPzyy5mdnctc3JNSPAh9vh8D2bp1a37xxRf2mRQ6kpRJ4I033mBhYaGWTHuchVF6JFrYjv379+eRRx5JC9uyEktTrG9+Mu06hgwZ4uresa4NzObMmWM2Ix4KP7/UbJkGpmkKTIUIJN+yTNPplFlGPbFK4HcJSEnHP/4xjoDFIryUUqOowZg9g7H65yI9g4QNTfp1tmrVin78JS14kFVzvz/OK6+8UuelByRQ16Nqx6Sx7tXjV3/bW79s/HyyIW1ZAmYfazgcZhYuT4u+SeBG+v1BPvnkk66dba4NzM455xxGLYuvIEuDkjQFJV7NlG183zchzADA6dOnu1Zx6I3ZQwLCjNa2bVsGcWhajOLGxln/toczJZTSfvTn9ttvzxNPPJFALoWZMV3PJ4bzmZOTT2k2rId7JSB79oEwC/FM2rCVLgzrdRqvy6rwjcmWyf5S2dsMlLIa36UFE3WZum3Zr18/rlq1ypWTzZWB2cKFC5mbm8vzlB5fg9IMBKUfI8HusNi5c2dKmZkeKoFUSUDo0GUfkRgrdSwa71i4TVYFeIxAhKeeeqphRgtiaFob/lZiMS10NGVNP//8c6rgrufNoAQWL15sWi/40U/p8T1exhjGqSwvL+ekSZMYjSZYjGlptT+leJuhUJz3339/BmdE6i7tusBMeqpIJ/oOsLhASxg1MMtAYCYZtNsRYSQUMoorddNXz+xlCcheD8DHOK5Mq1F0W1Dj9PsRdkShxxeyjzPOOINADqvxfdoxkY3rDAPy448/7uVp6dp7v/HGG+nzhVmMV9KOLafPUTeNvwTTTWsgqUqTJvMB7J8RPIRwAmOxOJcuXeq6Oee6wOzBBx+k3+/nVQhzmQZmGphlKDATIpAB8JvSItdpDb2hjEvgp59+4n777UegLKWse25yKNx6L1m4hAUFBbzuuusYj+cwB7dnxFGqwS/0YVf26NEj4/NDB5BcCXz77bcmQxLB3zKCLbfOXafdVw1+oh8DDAPjCSecQCCQMSbgMswyJdsjR450HRGIqwKzX375hb1792Y5wEUalGlQlqGgrH7P2ZvIYh4snnvuua7vu5FcN0DPtjUJTJ06jcFgmAV4Sh0lD5cVleNDAgkOHXokt9tuO/rQNaN97Mowl0AWr7nmGtV5W5vEDvn/+vXrf2fdq6S0Y3BaMKHjTV6JtxBM+f0R3nbbbayurmYQgzOKhwjOMItSs2fPdshsatwwXRWYTZgwgQm/ny8p4YcGZRkOyiQ4W4IERyBomr2+9957jZuR+imVwFYkIBueO3TowAD2zahRVIcneQ5Pc2UZxonMzc3jhRdeyEgkwjz8O6OYkHYN0stIGs66zVnayrR07b+nTZvG7OxsxnBhRrHV3Dmi30uOnpJ+iBZa8eCDD+axxx5r+iVKu4xMyley9BY6c99996VsY3LL4ZrATHqoAOBQ+PmVZss0MLNBYCbB2Qxk0QeYptO//fabW/SG3kcGJSAZWCDGIvw3o0YxkwZZr01WYCEtK8q7777bMHNKPzE7yKUCnxDwGyKSDE4TvXSSJHDEEUcQyKMwf9oBXzqG5ARaTZVjFGeZBZcLLrjA7G1O4GZb4CEfjxqmUCEiccvhisBMOtELG1UQ4H81W6ZBmU2CsvqSxssRMiyhSiXtFrWZufv47LPPTI+qAA7RZtIeLmGswSrDgti3b1+OHj3a7DUsxzxbOEri8InTlpdXxFmzZmVusuiVWyyBF154gYFAFgvxH9tgq6kBhX6+5YGc9CoEyjlkyGHs1293WmhNocy3g2xrsJp+7MEddtiRwhzqhsMVgZmwsgg9/pkIKuGHzYKS+uDEy78XI8EesNimTRs36Ay9hwxK4KKLLjLZMqXHb7mzYQenorljEAZEqRA566yzTKm0MJQ191yp+F4dEUhvtmrVhrL3Ww/nSeCHH34wfpWw7gnzZypwoud0hh6T8uSiomL+5z//MYyMxfifrfAgi1KWZRkCJOfNtD+P2PGBmWTLBg4YwHaw+IWWMGq2zKaBqTSdlpLGiRMn6qb4P+shfacREpB9iqFQjHH801ZGUZ2r9DpX9dmyPffcs26vh1VgS1KGfDxsgkchCtiwYUMjEK4fsYsE5HldffXVxgkvxBTVNx7OzhfgaYbDYd5www2/E34caUs8SJP7wsJizp8/3y7TqNnjcHxgJvX1QcvHGxDWoMSmQYmXs2X19y5EIDWwTK8ht3arb7YW0i9uVQKSddh9dykhaaf0+B52kiQIDuNkFheXUPrYhUIh5uFeWzpKtdhAH3qb/W+q87Y6xW31gbVr17K2tpYBHGhLbOliUHoWg6QyQ8g1unfvzmHDhhEoYinetSUmKvCZIScZOHBvCn6dfDg6MJPeGj179uT2sDgf2RqYaWBmawy8hizGAP7rX/9yss7QsWdAAk8//bQpWcvBBFsaRXWU0uMoleBNk8X4+9//zo4dO5q+YTVYY1tMVOFbAqWGNTID00Yv2QwJCD3+SSedRAsVrMYPtsWW6pzU6xyxN4FAhNdeey3LysoYwvG2xkM2xjORSPDZZ59tBvLt8xVHB2ZSFhYIBJTwQwMyWwdk9Vkz+T0cfkM9vHDhQvtoAR2J7SUgK5bS2FOyEOqQpN4hsaOMhRUvgEEmWybMaLKnIh+TbY8HKTEKBkN89dVXbT/PdIDk//73P/r9fmbhYttjy47z1C1jqltUKeOoUaMozJw+VFEaTNv5/mqxlj50p5AiOflwbGC2ZMkSFuTn82j4HeOUN3TQ9XWOJ5+bsIbmAkbZOT3d7mTF55SxS4uF8ePHE8ihZEvsbBR1bKkNGKU9QjCY4K233soddtjBMJFJ3zC7y70Si2ihmoceeqgSgdhc8UgvKGHeA0pYiSW2x5bdse/U8dViPYM4ypSz3n777YaOPhd3OQIPJXjD2EvZI+nUFkWODMwk1X788cezCBZfVHp8TwY4Tg1spcfeKARZUlzMuXPm2NxM6/AyLYEFCxawqqqKdfT46x1hGJ3qjNh53HWEH1U86KCDKH3sfL4KVmGZY/CQhwcYi8U4ZcqUTE8pvf4WJPDyyy8zKyuLBXjcMdiy87x16tiK8DKBuClp7datG33oQ6cwAUvWLIghLC8v57x587aAdvv+y5GB2TvvvMOioiKeoNkyDcocWsa5DSwOHjzY8ZtU7ava3DGysWPHEshiGT5QR8nDpB9SDpidnc1//vOfBCxGcbbj8BDAfuzYcXuuXLnSHZPTZXchBC2dOkkmdm/HYcupAZBdxx3AAaZf5o033shgMEZhZrTrWDc1rnJ8ZOym9Hh04uHIwEwc2lZK+KFBmUODMsn2CYtoLBDgI4884kS9oWNOgwQ++ugj5uXlMY5xjjKKmzKU+l7zyxzr2MaqeNhhh5nFHKDYkWVmdavw2Tz33PMcW2KUhmmfkUtIydcVV1xJIMpCPKv6xsOLQMLyGolk8dFHH+W227YyJY1O1N9CXJKTk8MPP/wwI3OqJRd1XGAmnej9wmyHiAYmDg5MnFqKmKxxf4g4O8Bijx49+N1337VkDut3XSiBX3/91WxgtrA9q/CNOkoedpSCGGoIP/773xcYi2UzB7c7Fg8BHMSamhp+/PHHLpy1zr2lL7/8kh06dKAfAx2LLScGD3YbcxW+JpBtSqaPPfZYw8xZgU8diQkp//ahJ9u1a0fZO+mkw1GB2fLly9m5c2d202yZBqUuCEofQZTZ4TDvueceJ+kMHWsaJDB58mOMRCJM4AZHGkW7ORxOHY9kL0KhLEMAs/322zveca5jeivn8OHD0zCL9BKNlcB5551n9i1WYqnqGw8vAknJNOAzzaRzc3MZwRmOZgLOw78Nc/udd05q7FSwxeccFZhNmjSJQb+fjyKmgYkLApNkZZ+cfJ4h8LO4uJiSIdFDJSASkLKiPfbYgxbaqJPkYSepGt/Thy6mX5n0LXNLmVkuJhrn76WXXtIJbwMJyJ592beo9PjNLzd26sJPw3ELaYZl5fL888/n0KFDCRRQWnQ0/IwTX/uwk2GxdZKP5ZjA7IcffjCbEQ9Xwg8NSl0UlD6PGAth8eSTTqKwjeqhErjzzjvp9xewFG873ig60ZDbZcy5mGTo8WVBsm3btpQyQHGe7DK+5o5DsmbiLPXp04crVqzQCZ9BCQjhx4EHHkgLrViBzx2PreZi0uvfE73ix16G/OXBBx9kJJLjiB6JjXlu5fiYQBkvueSSDM60pl3aMYGZNLgrgcU3lR5fAzMXBWaS7TsCfpaWlvL9999v2uzVT7tOAp999hlDoRCDGOboEpLGGEz9zOZX6Gvws6GrHjZsGC+++GICMds3d23K8yzEM6bE6L777nPdHHbSDUnWUtoYJHCrBmUezs4L4YdkTYX1VUoY/RjAGqxxDSaiOIuWZfGtt95yxPR0RGD25ptvGrCcjCCXIqGBicsCEyeXIiZj7O8jzkKAI0aMcITS0EGmRgJSwig9qiwrzFK86xqj2BSHXT9LE5CHMcr0r7v77rsZCkUZx5Wuw0MIx7FNmzb86quvUjOh9KxblICUdvXu3Yd+9KM0FNa5t/mFEjfLRsoVpU+Z7GG98MIL6ff7WYgprsJDBRYSyDPMtk4oaXREYHbkkUcyBnA+sjUo06DMlRi4FWGzgvzuu+9u0ZjqP90rgaVLl7KwsIiyuudmR0DvbcsOYDFeI5DgyJEjufvuu5u9hlVY7jpMSG8+oJxHH320eye1je/smmuuoWXlsBjTXIct1TFb1jEN5ZON6xgOR/nFF1+wtraWIRzrSjxIsBkMBjlz5kwbz8q6odk+MJs2bRrjwSAnKj2+KwOSZGSc3HCOD5HNLrDYq1cv/vjjj7ZXHDrA5EpA6HwHDRpEC9uxBqtdaRgbOgP6evOOUxCDDcXzvffea8rMcnCba/EgixAFBQV8/fXXkzuh9GxblICUTG+zzTYMYBBr8Itr8aV6ZvN6RmQj+68sK8aTTjqJI0eOooUayh5Qt8pNSjRbt25N4ayw82HrwGzlypWsrq7mrvDxMy1h1MDMxdnCZUhQsmayoiPlS3p4SwKTJ0+mzxekNMV0q1HU+9qykyTykb0egUCEU6ZMYfv27Y3j7Ga51e2lK+Ghhx7qrQmf4bu97LLL6PPFWY4Fqm88uresFr8xhGOYnZ3Nm2++mT6fnzFc5Go8FOEls1/30ksvzfAM3PLlbR2YXX/99abe9W7NlmlQ5uKgrGHGb2f4udNOO/Hnn3/e8szV/7pGArIAtdtuu9FCe1evVro5wEjGvVViCS3Ucr/99uPZZ48hkMsSTHe1oyRyK8R/TCuARx991DVz2s438umnnzInJ59ZuNT12ErGvHTrOWQfs89XyIsuuogHHHAAgWJW4RtXY6IWGxjAftx22235+eef23aa2jYwk43wknI8BH4l/PBIUNIwQPHq61eRxTyA48aNs63S0IElVwLikIZC2SzBm642im51cJJ1X+IoA37eeuutrKio+J2Z8zfXY0JK6cRZktK6JUuWJHdy6dn+IIG1a9dywICBpmRaFgKShV09z9az4XaSUS3W0Yee3HXXXfncc88xHA6zCC97Ag91/SG34SmnnPKHuWGnP2wZmElQdvppp7EI4Fwl/NBsmYcC0yVIcCj8zMrK4pw5c+ykK3QsKZDAN998w6KiYoZwtCeMop2cEzuNRfZ1WFYJR48ezbpm0jmswGeewUQxptLvj/Lyyy9PwSzTU9ZL4KmnnjK2JY6rPMc8GnoAACAASURBVIMtO81zu4wlgVvM/lXpmVlcXEzZ12qXsaVjHNm4hkCAL7zwQv3UsNVvWwZmshE4GAhwNIL8SveWaWDmocBMMoXTkMWoZfHUU0+1lbLQwSRXArIAdcYZZxLI8UTJWjoMrhOvIXs9/NjD0FXL6nU8HmcCN3vKUZLnFsU5rKio5PLly5M70fRs/08CdSyfnSl7+5w4V3TMLc/M1ZVMb8eBAwfyrLPONmXExXjVU3gwC2HYjv379+f333///+aHXV7YLjCTVPvhhx/ObIDvIa5BiceCEq+WMG5832MRZG4ioU6KXTRlCsYxb948U7IWxsmeMorqXP3RuSrA42b1VrJFXbt2NSVG1fjOc5ioxo+00JZ77703xQ/QI7kSmDRpEoGIlkx7lOyjXu9m4XJD+PHiiy+ypqbGc9myejnk4yEGAmE+/PDDyZ1oSTib7QKz6dOnm1T7HUr4oUGph4PSj5HgjrDYu1cvdVKSoOjseIqjjjrKEH540QmvN476m/RhN+6444687bbbzF6PXNzjuaCsHgfSUykQCPDJJ5+045R17JiEHr+0tJQBHMxarPUsvupx5tXfdYQfuWYP+/HHH+96evytPecgjjK92+xGn2+rwEw6cpeXl3NP+DUo8XBQsnH2yKt/34AQAfCee+5xrEOgA9+0BKS2HZIVxV3qJHl4BVuefygUMvtJJVsmJY1bcybc/H8hJbBQYRpriz+gR3IkcMkll9CygizFO57Gl5vnztbuTQJyP/qzTZs2rMueBpjArZ7GQxneJ1DCE044gbK1wC6HbQKzDRs28KqrrmIY4L2aLdPAVANTLkCC7WFx5513Vvp8u2jMJIxjxYoV7Nu3Ly10YhVWeNowbs2ZcPP/65q7Jjh8+AiOHTvWOAjiKLj5nhtzbyV4i35/Lm+//fYkzDY9xbfffmtKpqMY43lsNQZ/bv1MAZ4wPbyuueYa7rHHHrSwPavwtecxEcHphgBl5syZtlEWtgnMli1bxg4dOnAX+DQo0aBEMfA7Bt5FnBbAxx57zDZKQwfSMglImVYgEGQhpnjeKLrVCWrMfYVxksmWyeq10FXL3435nhc+E8IJplpg0aJFLZtsHv+2LHjX9Uhsp4QfHs7Mi86QhcB99tmHjz32uLE/BXhK9Q1IadchWfrBgwdT5osdDtsEZrJiWASL4oh6tXRN7ztHn/0mgnKhz8/JyeHChQvtoDN0DC2QgKxeS39Gr9ETeyGYaMo91pXQ5Ju9HpIxsyyhx/9EHaXfnWfZCwNkm15DSgTSfIXzn/9I824wgRsUWx4OzGK4gIWFhWaBt23btgxiiOKhAR6ECCQYzOETTzzR/MmWxG/aIjD74IMP6Pf7eR6C6phvwjHXgM3bAduziDEC8OSTT7ZVHXQS9ZBnTiVNLYEiluI9NYwNDGNTgho3fNaHruzWrRs/+ugjxmLSVP5excNGeMjCxczJyeXHH3/sGf2QzBtds2aNoUQHEiYr4IZ5o/fwR0bXxsijDB8QKKOQTdX1SBT7o3sNG8pO2kf4sCtbtWpFqd7L9JHxwOynn37ifvvtxypYfEezZRqYamC6SQwcjwCrqqo4f/78TOsMvX4zJSANw8vKyhjGSNZigzriGzniDQ2lm1/LhnspXZQ9VJ06daIPu1B6mbn5npt7bz7sZPbD/Pzzz82cdd79mpS/BwJZLMEMxZZHdY3MOymRlibSkydPNuR6IYxQfbMJPBThRQYCMcoevEwfGQ/Mpk6dylg0yhsQ5jJtJr1Jp1wzZt7OmMnzX4QEq2Hx4IMPzrTO0Os3UwInnngiLSuL0tyyuY6qfq/pK8Z2kpk8ex+6cJddduH48eMJ+JmHBxQPm3CU5LmJbICQEoE0Ued89913pldVEMMUW5vBlp30QqrGUoZZZv48+OCDHD58OC2rWPcabgEPYZzKgoJCrly5sokzLrkfz2hg9ssvv7B3797cCZYGJJopUgxsBQPXIswAwKeeeiq5WkDPlnIJvP322wyF4szFJHWUtmAYU+Wg2OW8cfyDeXl5fP3119m5c2f6sbtmT7eAB6H49qGvkdXy5ctTPk/dcIH169fzrLPOMs2kizFV9c0W8GUXvZCKcVRjJS10MAzAjzzyCEOhbObibsXDFvAgLJUW2nDIkCGUUuBMHRkNzC6//HJGAT6g9PgalGwlKNGsYQ7nI5ttYBmWLVkR1cMZEpBybXHCfejFavyohnELhjEVDopdzlmGufT54rz44osN6YcQfmj2dOsZ0Ap8Sp8vxiuvvNIZEz7Do1y8eLEpmZaSNbtgX8exdZwnW0Y5+BeBAO+44w7TwN6HHqzGD4qJrdgfWTyLRCJ85plnMjaTMxaYSSd62Wi3F/z8UksYNTDTwKxRGLgLEcbDYUppgh7OkIDQoUsTYS1ZS79zkmxnp7nnq8EaBrA/t912Wz766KMEfIzhInWStuIk1cs7hgsZiWQZshRnzPrMjFKyZaNGjaKFGgrm6uWnv72le+qyZe0Nf8Odd97JUCjKfDyqeGiEvqnBT7SwHffZ569ct25dRiZyxgKz888/n1Gfj68jq1EOqWZMdJ+VYqAOA/vBz9atWlGo1/WwvwS23357BnCQbrhuhFF0qwNZhJcM/fvNN9/MQw89lEA+K7FIHaVGYqICC2mhyjiaq1atsv+kz9AIX3rpJfr9YSZwk2Krkdhyo84JYxSrq6sphFOyGBTEkYqHJuChGK8xEMihLKpm4shIYPbpp58yFonwTKXH16BUM2VNxsDziDEP4Nlnn01ZIdXDnhKQZpUXXnghgVztUdUEo+g2R6kWvxrCj379+pm9ZdFoFoWZ0W33mer7SeBGJhK5lOBDjz9LQAgL6ppJt2c1vld8eVTnyL5CIRU6++wxHD16NIFSVuJLxUMT8CCsySEczezsBD///PM/T7YUv5P2wEwIPwYMGMDWsDhL6fGb7JRr1kgzh1L6K02nKyoqKD0A9bCnBN577z3DjKb0+N4qI9o4QJE9C/n5+Xz22WfZuXMX+jFQCT+a4CTVy1OIQIQsRfZrih+hxx8lIHTo0WiUhXhWnfBm4KseZ07/HcAhppn0ww8/zHg8zghGKx6agYe6JvfgmWeemfYF8LQHZo8//rhRHtpMWgMMDTKbj4F5iLMA4GmnnfZH66x/2UICki076aSTCIS1ZK0ZRtHpzlH9+MvxkSnBO/DAA3nVVVcRyKKUNdb/X383LWgvwZumJFRaDcgc06NOAtLnrbZ2GwYxRLHlYX1TgtcZCAQ4bdo0HnPMMQTiSjjVAjzIPmDJmgmhTjqPtAdm0r+lCyx+oYQfmi3TMsYWYWAcwoxHo5wxY0Y6dYZeqxESmDdvnqFF15K1pjnebgtUpC9OUVGJKb9r27YtAziAUtrotvtM1/3UYh2DGGyqBWSO6UGzmn/WWWcTKKAErul6Fnode+k2YXgFyjlo0CCjb8LhLObjEcVDCwIzydJb6EwpQ//111/Tpm7SGpjdfNNNDAN8QQk/WuSQa6ap+ZkmN8nuA2SzEyx279ZNS3vSpjK3fqHffvuNQvjhQx+KI6kOjL0cmHQ9jzLMoWVZpjnyRRddZKirpU9Ouq7v1utUYQWBIMeOHbv1yeiBT3z00UeG6CGIQxVbLXDCnT5fYjiP4XCYzz33HPPzC+jHPpTAwun3lenx5+Ies2dP2g6k60hbYLZgwQIWFxdTGOU0W6aBhZsCpEzey40Im9JgoeDWI/MSkPKqiRMnGjr0PNynRtGjjpL0C/KhN3v16m32lmVlZTOOKxQPScKDZKJjsWy+8cYbmZ/0GR7BySefTKCMlVis+EoSvjIdDDT1+pVYQgvVPProo02/P1kQ0r2GyVkQFPp8H3Zhjx49+P3336dltqctMLvgggsIgNM0W6bZMi1hTBoGliHBHWCxY8eOaVEYepEtS0CaSffp04cWWquT5FEnSZyqulXWIO+++27uvnt/WmjHSixVTCQJE9X4jj50Z6dOO9DL9PnvvPOOycpKM+GmOvP6+eQ47naQYxCHs3Xr1hT7U1tbywD2VTwkSdfI85XWJpYV5TXXXLNlByBJ/01LYPbll18alpi/KT1+0hzyTGZp9Nr2yni+iCzmAGlTGknSPa48zY033kgghxX4TA1jEg2jHZyfxo6hBj/TQiez1+OJJ54wzGg5+D/FQ5LxIA3bpXRLGuh68fjhhx+4xx570IdurMI3iq8k46ux8z3TnyvA4wwGgxTbI9lT6fcn+80yPS63XT+Ks5hI5HHu3LkpVzdpCcy6du3K9rD4sRJ+aGCm2bKkY2AJEjwYfhYVFXH+/PkpVxp6gU1LQMq1xVEUBe42o6T30/jV9TBONmX7n3zyCbt3704/9lR6/BQ5zX78lW3atNn0hHT5uw899DDD4QhzcafqmxThy+56rxor6cOubNu2HYXx3O8PMAuXKx5SgIcKfEKgmAcffHDKiUBSHpg9/NBD9Pl8vAwhStmVZlvslW3R5+GO5/Eqshi1LJ5xxhkud0fseXvC2HTCCScQyGcZZqthTIFhtLuTJOMrwQwCMdPY9eKLLzF4KMF0xUOK8CCZaWGiE723fv16eyqHFIxKStZ69uxJPwYotlKELSfom1zcRWFflKDsoIMOpoVayn4zJ4zdiWPMxnjDtiztCFJ5pDQwW7NmDXfffXcWw+LnGpRpUKrZspRi4HwEWZCfzyVLlqRSZ+i5NyGBWbNmMZHIYQxj1Sh62FEKYiizsuKGrrqsrJxBHKHMnCnGQwSnMxbL4uuvv76JmenOty677DJaViGF+dOJDq6OufEZ+M3JSgiGpGz+lFNO4dNPP22qNQrwpOIhhfqmFhvow27cYYcdUqpYUhqYPfLII4wAfEkJP1LqkGvWyx1Zr5Y+x0+QYAdY3Hvvvbl69eqUKg49+f8vAVmA+utf/0oLO6pRTKFR3JyDYpf3pYdUKBTnY489xrPOOouWlUcpf7HL+Nw6jiosI1DCYcOGeaLp9Jw5c5ibm8sQjmctflN8eVDnyHMP4ViWlJTwlVdeYbt27RnAIMVCGrBQiOdN4+5x48alTN+kLDBbtGgR8/PzOQR+LWHUTJEGpmnAgJQKj0OIfr+fkydP/v8jB32VUgn8+9//JhBhPh5Sw5gGw2jHAKMKywmU8i9/+QvffvttJhIJJnCL4iFNeCjA04xEIpw6dWpK57odTv63v/2NPl/cMMXZcS7omFqeDduaDMswy5RJSy+/c889zwQKRXhJ9U0a9I30Jg1gP8OCKfuIU3GkJDCTWm9ZMYwCnIKYOuVpcMpbmm3R77sj6yZZs1aw0t6pPhXKyQnnXL58Obt06UIferAGq9UwpsEwbs1pycT/4/inWRCRvR7dunWjDzuxGj8qHtKEB8kgCEV4aWkpha3QrceHH37I7Ow8ZuNqxVaasJUJfbKla9ZjfbvtOnL27Nls1aoVgxisBENpxEM5FhDINXFOKnRNSgIziSLLSks5AgF+pXvLNDDVwDStGJDFkJxgkHfddVcqdIaes4EEbrnlFoZC2SzFe+oopdEwbslxSff/hKpcKKqPPPJI3n777QwEAszFRMVDmvFQiOcIWPzHP8bxt99+azBL3fGyjvCjl+nfJvuL0o1zvV7qM2GNkbH0SIzHcyitOEz2FDVKj59mXSPPSSoihD5/xowZSVcwSQ/MJFt21FFHsQpWWp1Rzfi4I+Ojz7Hlz1EWQw6Bn9lZWZSMjh6pkcDSpUtZUFDEME5UJykDhrExTkw6PhPGSFZVVXHt2rWmubg0Pk7HdfUaf3aUgxjCmpoafvXVV6mZ9Bk867333muysrmYpPjyqL6RJvUWWpn+dVOmTCHgZwI3KR4ygIdKfGX6VXbr1t009k6makh6YCalHAGAVyGkgZlmihQDGcLAFEQZAnjOOee4cvU4mUqwOecSevxjjz3OZErKMV8NYwYMox0CE9nbJHs6x48fzyuuuMLs+5AyFzuMzYtjkPJRC9uYxeHmzGu7fkf0Ta9eki3rrSXTHtU1Mp+zcJmhx3/hhRfYv39/WtieVfha9U2GMCFN7qPRKB9++OGkqo6kBmZS2923b19uA4sLtYRRg5IMBSWadavLuh0Bv9lzsXjx4qQqDT0Z+eabb7KwsJBRjFGjmCGjmOnAowZr6MdAlpWVGTwAYASnKR4yjIdsXE/AZyjE3aKrJk6caAgeKvCp4ivD+MqU3qnCClpWjOedd54h9/L7Q8zDvYqHDOOhrsF3W65bty5p6iapgdkDDzzAeDjMx5TwQ4MyDcoyjgEhAmkNy+x9SZrG0BMZCRxyyCG00IHVWKmGMcOGMVOOUh7uYzCYxRdffJHHHXecYeYsx8eKhwzjwTiw6MC99tqLK1eudLzGEsIPYfnUkuk/l65mau6n+7p1i0D7sH379pw3bx47duxIKdtN9zj0en/GoPQSBMp47rnnJk3XJC0wW7VqFeNZWYYeXzMWLd8npDJUGSYDA/9AiD5hR50yJWlKw+snkj5VkGbeeFoNY4ad8Ew5CuIoAdk89thj+dlnnzEUCjOBGxQPNsFDCaZTMpiytcLJh5CYCMEDENJm0jbBViZ0jtgaacly9dVXc/To0QTyWIqZqm9sgokQjjGLJ8kiAklKYCYpvL///e8sAPiiNpPOeKYkGQ69nsMdgeEcxFkLiwMGDHDF6nGmnawlS5aY1Uo/+mu2zCZGMd2OktBVh3GK6dM5bdo09uzZkz70USfJZngI4WhWVlZR5qxTj7lz57KoqIhZuFTxZTN8pUvv1GI9/ejHPn125uuvv26aSgvhUC02KCZsgolKLKLPqjT7zpOha5ISmL3//vtmL8vh2kxagzItYbQdBiYjaggKnnvuuWToDE+f46abbqbfH2AhnlejaBOjmC4Hqf465fjQkHycfvrpvO6660z2NB+PKB5shodSvGue04gRIyls0U48+vXrZ+jx67Gnv/9cSuZ2mWTjOmZlZXPmzJk84YQTzF5D7ZFoPxwU4CnTKuWNN95osapJSmAm5RxCj79ACT9s55Rr5ssdma+WPsd94Wfbtm25YsWKFisNr57g22+/Nc08QzhOnXCbOeHpcs5klTqAA9m+fQcKqU7Xrl3px+6sxVrFhA0xEcFolpWVG6fWaXrr/vvvJxCm7GVMF771OvZy+OsXgSQge/nllxkKxbVHog31jMybGvxCP/Zi69atW+xntTgwk43PkWCQExDRoESzRYoBm2LgcUSZDfCSSy5xmn9im/HKApSFWlbgM3WUbGocU+1YCgua7CcTeuQLLriAPl+MlViieLApHmrxK31ox/322882eqQxA/nmm2/Yo0cPWmir9Pg2xVaqdY2cX1hepWn622+/ze22244+7Kwl9DbGQyGm0LIssxewMfN8c59pUWAmK8g77rADu8Hih4irU25Tp7yl2Rb9vvOzbkuR4CD4WVtbS2H50qNpEpDyhKysLMYwVp1wGxvGVDpLVfiGFjqa/kHTp09nJCJ4OF/xYHM8SK8hIU4Q1minHJMmTaLfn80SvKn4sjm+UqVzhOHV5yvg9ddfz9tvv53BYJD5mKx4sDkepKJCqpO+//77ZqubFgVmd911lwHLg5ot06BUg1LbY2Ae4sz3+QxRT7M1hke/OGTIEFpWKcU5T5Uh1vPaq4xo4+eRjWsJ+ClB+sEHH0yglNpXyt7PTJ5hDX425CydOnVyBBGIlMjm5uYyjJNU19jcCd9YRyTrbyH8sLCdaSr+008/mfK4II5QPDgAD9X4zlTWHHXUUc32lpodmP34449s164dZe+KZlScn1HRZ+iNZ3gBgsyKRPjOO+80W2l47Ysiq1Aom/l4VA2jAwxjspyjhuepwnKzej1mzBj+73//Y05OPhO4SfHgEDyU4C36/XHeeOONtlZfwnA9fPhwAsUsw/uKL4fgq6GuSMbrXEykz+fjfffdx5NPPtngoQILFQ8OwUMc/zAlqLLVqzlHswOzU045haWw+JrS42tgqtkyx2BgFuKm6XT//v0pvQf12LIEpFy7qqqKfgxkLdapYXSIYUyGc1R/DnnuAQwyxC+zZ89m7969Ke0SFA/2z5bVP0P5HcWZLCgo4KJFi7Y86TP4X2G4Li4uZhTnqq7xoK4RnNZgNS3syL59+5rm9VJCH8EZigcH4aGu7L2K++yzD1evXt1kjdKswOytt94yqfbj4KfsXdFsizeyLfqc3fGcxyPE7FiMTz75ZJMVhpe+sGHDBo4fP95s5i3AE2oYHWQYGzrkLX1dhBcIJHjFFVfw2mulnDGu7RIciAXpNSRkGlKG+uuvv9pOlUkz6cMPP5wWqikNzFuKW/2+sxYO6p9XDBeaBQQpaR02bBiBXFZiseLBYTpHiECCwTiffPKpJuuaZgVmxx9/PHMti+8r4YcGpZotcxwGFiHB3eA3jXGbrDE89AWp7Zdy7QAOojQVrjec+tuZDk9zn5s0dxVafMmWtW0reBikjrPDnKT6Zx/HlczOzuaUKVNsp8lkoSwQiDMfD6uucSi+6nHW3N+leJs+X9wwvr755puMx3OpPRKda29kX2BZWVmT97Y2OTAT4+QHeJcSfjjOIdeMlzsyXsl4js8gxgjAG264gZIZ0uOPEhCZSLm2rFZWY6U6Sh51lLJxPWOxmKGrvvDCCw27XwU+Vzw4GA8W2nHgwIG2ajotDG4dO3Y0JCU1WKX4cjC+mhuU1ZVM78+SkhLOmjWLFRUV9GOALgo6GAslmEEgh6NHj6ZkxBt7NCkwk/0Wojx2ho8LtYRRAzPNljkWA5I1OxB+o/wXLFjQWH3hmc9JuXYoFGEMF6mT5GDD2FwnSb5XjgWGeXHw4MGcMWMGCwqKGcdVigeH46EYUwlk87rrrrONPrvjjjsYCoVYhBcVXw7HV3N1TjFeMbi85557eM011xDwsQBPKh4cjocwTjZZs6a0KWpSYDZhwgT6fT5O0myZYx3yZGRb9BzuyLwJcY9Pm07/yTlbu3YthR5fVroqsVQNo8MNY3MdJSGLEGY0Wb3u3n0nWmivzaRdgIVabGAQQ5iXl8fPP//8T/M/3W+sX7+ehYWFDOIo1TUuwFdz9Q1Qzr/85S/87rvv2KFDB/rxF8WDS/BgYVsedthhja5OanRgJgxunbbfnrvCxyWaLdPATLNlrsDAaATNRuMvvvgi3f6Iba8nfapkH0ou7lLD6BLD2FRnSbJlfn8Rr7zySj7xxBOmuXgCtygeXIKHMsyiZUVMiVEmFZEEZSNGjKCFCpbjQ8WXS/DVVH2ThcuZSCT4wgsv8swzzzR40J6Zzt1btvHzF18CCPPhhx9ulLppdGB28cUXMxsWF2hQ5gqHXLNe7sh6tfQ5fohstoPFfv36NUpheOFDtbW19GMfdZI86iTJXg8L23OnnXbiDz/8wB49etCHbooHl+EhG+MZi2WZZ5wpvTZ9+vTfm0mPUny5DF8bO+eb+1v6k1mo5QEHHMDXXnuNPl9AS6ZdhgVpgSA2RGzKihUrtqpuGhWYvf3227QAnoggv9LATAMzzZa5BgPLkOAlCJr9DZIZ8PJRT48PxFiIZ9RRcplx3JxjtPH7ebjX7O+4885Jpl0CkMdSzFQ8uAwPNfiZPuzEnXfemT/++GNGVN+xxx5r9jFW4WvFl8vwtbFe2dzfEYxmZWUl582bx3333ZcWqiitHTb3eX3fmZm0YrzKYDCHN99881Z1zVYDM+n3MXToUMPE+LbS47vGIW9ppkW/756M25dIsASWqW9vCnPQVrWLwz4gfWO22247w4Slxs+Zxq+lz60W6+lDF5Mle++9937f+zOUsi+ppefW79sPU1JiJPsI77333rRrKyEYCgaDLMR/FFseDcrEWff7I7z11lv56qviuAeVHt/FWJBG4cLyu3z58i3qm60GZqaZdHY2r0RIgxLNFCkGXIqBJxBlIhDk448/vkWF4eZ/Xn755YbwQ0pL1Im2nxOdjmcifa6EiOHjjz82+48sK4tlmKt4cKmzJP0JfejJ7t27c+XKlWlTb0KPX7cItAclc5cObOs17KXTpA2LDz3YpUsXky0TxvMA9lUsuFTXyPyTvcsWanjEEUdwzZo1m9U3WwzMfvnlF7Zp04Y9YHGpljBqUOLSoESzfzlmfu8Pv2EqW7Ro0WYVhlv/8dFHHzEajVI2YasDYy8HJl3PoxTvEohy9OgzKNnTeDzOBG5SPLjYURJsVeIrWlbCUJSnS7/ddNNN9Pv9LMATii+X42tz+isPDxII8rHHHqNwOAgLsLRy2Nzn9X132CXxMYRcbOrUqZtVN5sNzKSkSWohQ9pMWgMyDcg8gYHHEWUQ4EUXXdSkZoib1S4O+cfPP//MffbZhxZasQKfqWH0oKMkmROhK5ds2cyZM9mtWzda6Mwa/KR48AAeojibgMXZs2enXGutXr2anTt3ph97K7Y8gK1NBVSiV4Tw45BDDuH8+fMphFMBHKJ48AAearGWFjqZrSPr1q3bpL7ZbGC2bNkyk2qXZtJfaLbME465Zo7cs2+sOc9SsuJD4WdVVRWl1MYrx0svvWSyI9m4Vg2jBwzjphylEswgEOekSZPMfiPZd5SH+xQPHsGDLMhItnRrJUbJ0IlnnHEGgRKTqdsUFvU9d2RGtvQcQxhh7OzcuXN52mmn0bLyqPT47n/u9ZiQvYU+X4K33HLLJlXKZgOzcePGmeaz/0aE0ohWf1QGigH3Y+B5xJgDi0cddZQnsmZCbrT33nsbZrRyzKf+eFEGH5oVzH79dqdkT3v37mP+FiKQekOqv93vNOViEmOxOIWFOlWHnBsAgxjGcnyk+saDOrcAjxPI5UknncQZM2RBKMAEblVd45FFILElNVjDAAaxvLx8k03uNxuYSQ2kH2C+/qgMFAOewoCUMwYDAXqh6fScOXOMowRECBTrjydlkGeYsp5++mnTUNrny2cFPlFHyUOOkjhLwrzpR3926tQpZfT5559/II5RVgAAIABJREFU/u/6Jq66xpO6RmxMDlu3bs1PPvnE9A+1sJ1myzyma0TfSJN7vz9O0QkbH5sNzGbNmsVXXnlFf1QGigEPYkDmvxcO2Us7bdo0TpkyRX88LAOhxv/000+N0xzGiRqUedBREmepCC9Q+hheddVVKakYEJps1TXe1rXPPvssly5dyueff970D83Hw6pvPKpvYriQ4XDsT1mzzQZmJxx/vGl2Jw3v9EdloBjwFgYOO+wwfvvtt66PzYQWvWfPnobsQQgf9MebMhg0aJAJ0IUAIoqz1FHyqKNUi3WGwlzo87/55puk6z/pV6U6xps6pv6577TTTvznP//5/wIzKW2URQH98Z4MZF+hhdY8/PDD/6BrNhuYbVNTwwjAPeHjXvqjMlAMeAYDubDMSt6KFSv+oCzc+MeqVauYm5tHC9syjn/qjwdlEMYp9PsD/Ne//sVLLrnElBrVYLU6Sh50Fiux2BBzHHjggZT9p8k+7rvvPpOV9WOA6hoP6hqxMQHsbxhAX3/9dcPOaWFHSk8zDcy8F5iV4C1aVtg0GG+oazYbmEm9fXY0yomIKCOh0sUrBjyCgReRxYQ/wIkTJzbUE65+PWHCBAYCUZbgDTWOHnTGZW9RAAexXbt2lFIz2WPkxz5mz5E6S95yloQ2PxSK8p133kmJzpPesP3796cP3Si02Yovb+FLnrcwgFrYhoMHD+aDD0ovszBzcbdiwWO2RwhALOzAAQMG/EnXbDYw++mnn8wXCmHxU6XL18DEI4FJc2jm3fKdRUgYkpPevXtT5r9XDinZ7NKli+lbVYtf1UB6zECKsyQlJUARR44caVYvLcvHAjypWPAQFqS3lFDmX3311SlVfVKJEA5HTMZMAzPvBWbyzBO42RAOvfrqqzzmmGNMllax4C0sxHARs7KyTEnrxgpns4GZfFA2Jwoz46UIaWCigYliwMUYWIYEr0KYFmBW8TZWFG7/+4EHHjBOWT4eUmfcQ854Q2coinNMCe8zzzxjengKQ5+sajb8jL52p/Mkpas+7MKuXbumpYfjqaeeSsuKshwfK748qG+kFYcPu7FPn5352muvsbS0lBH8XbHgESxIybTsLZMG42vWrPmTe7XFwEwYy4488kgWwVKn3MVOuVsyPnofzW+QLU3k28GiZMvWr1//J0Xh9jdE1+211170oasaR48Yx42DrLqsWbbp4VfXRsHHQvxH8eABPAgznvSTkn2GGzZsSLm6W7BggVktD+F4xZcH8LWxrpG/pcmwZSUMA+iJJ55o2icIhfqmPqvvuWtBKIK/MT+/kF9//fUmdc0WAzP5xpdffsnKykoehwCXakmjBqgaoLoSA2chyIKCAi5cuHCTisILb86cOdPIIAuXqnH0qLOUh/sZi+XyzTff5LBhw2hZ+azCMsWDi/Eg5cs+9GSPHj1TQvixOd150UUXmfLZMryv+HIxvjYXVNXgF0MEss0223Dq1KksKytjGKMUCy7HQjGmMhiMc/z48ZtTDdxqYCYryWPGjKE0nX0GMVc6pZppaX6mRWXnfNm9hCyGLItjzj47LavFm9VGGf7HunXrePTRRxMoZRk+UAPpcgO5KYdJSoyEMa+6uoZS0pidnc0ITlMsuBgL2biO2dkJfvHFF2nVQFLC1LlzZ/qxt+LLxfjalJ6pf68SS+nz1TUZriMCCVEDdXdlx+qftfyuwSr60Jft27c3RFObUzhbDczki9IMT1bTD4Bfs2aaMdLg3EUYWIwED4TfzO8PPvhgc3rCM+9LCVteXj5jOE+dJY86S4V4hoDfkEAce+yxtFCpe4FcioUyzDX09aeffnpKGkpvTXHef//9DIfDzMO/Vd+4FGMNHfNNvc7C5Uwk8in0+bvtthsttDcO/KY+q+85O2iTPex+f5yTJ0/eompoVGAmZ3jkkUcYBvg0ouqYu8gx14yX8zNeLXmGLyCLUeBPfTS2qDVc/k8pMQCyDa2xGkJnG8LmPD/JmgUwyKxqLlq0iDU1NYZOvznn0u/YFz+1+I0hHM1AIMBPPvkkI1rt+++/N4QjUkpZje80OPNgcFaF5bSwPffaayDr+twFmIuJigWXYUFKpi3UmjYJW9vH3+jATE605557soPS52tgqoGpKzDwORLsDIt9+vTJiFNi14t+9913vztLu2ivIZcZx8YGSrL/AyjjGWecYQghgsEgC/G8OksuwoOUjEkZ2R133JFRVSSU6bFYgnl4UPHlInw1VtfI5xK4ydDnSyZln332+b11y3rFg4vwEMEZhn1z7ty5W9U3jQ7M5EyPPfaYWV26FGEKvXZLVur1u97O1Ojzz/zz/wdCjEajfPjhh7eqKLz0AWFlu+222wgEmY9H1Ti6yDg2xVmKYxwjkRgff/xxduy4PX3YldVYqXhwAR6EHt9CJ+6+++5cu3ZtxtWb9M8DSliFrxVfLsBXU/SMfLaOgKY3e/XqZbK3QgQijnxTz6Oft2eGvhTvECjgKaec0ih906TATDar7rLLLiZr9iGyNTDTzJFiwKEYeB9xM4936du3UYoi455Lmgfwyy+/sHXrNvRjdzWOHnSUxMGRjfkWqrn//geY3n6BQFgDdZdgIRvXMhKJGIKXNKuWTV5u9uzZZjVdWfns6VinI+ApwxxTQn/dddfxtNNOM/tc5b10XFuvkVrcSVuM8vJKSnP5xhxNCszkhJ9++inLS0o4BkF1yh3qlGu2KvPZqkw/g7EIMic7m/PmzWuMnvDkZ9577z1Go3HmYpIaR5c45E11QPLwgCkxmjJliulvJk1BhVmrqefRz6fW8WmKfOv29LTlfvvtR1mAscMhjLCjR4/+nRF2ruLLg/qmFusYxJEsLCw0CwbRaIwhHKtYcDgWpBdmOJzgAw880GhV0+TATM589tln07IsvoYsDc40OFMMOAwDbyFu5u/YsWMbrSi8+EFxlo455hjD2qYlRvZxrJvihCfjs34MZKtWrQxrmrATR3C6OksOdpZiGMvc3DyuXLnSVmpt1apVLCwsYgjHKL4cjK+W6JwKLDQl9GeeeSYnTJhAny+ijLAOxkI1vjclynvttVeT9E2zArOPP/7YRPWHws8vda+ZBiYOC0wyna3K5PWF8GNf+FlVVUWZx3psWQIzZsygz+djFOeos+RgA9kSZ6kILxNIUBYyRo0aZUhBhGa9JefU72Ym0C/Ga/T7I7zyyiu3PPEz9N977rmHwWCMxZim+PKovsnGeNO+Zv78+dx1111pYUfWYI3iwYF4kGcJBPjcc881SaM0KzCTK9xwww2MwuKrmjXTwEwDM8dg4GnEGIPFSy+9tEmKwssfPuGEEwgUsxo/qHF0oHFMRhDkxz5s3bo1ZS+QNCMO4xTFgsOwUIu19KM/t912Wy5btsyWKk3o83v27EkLHSjMoMnArp4jM4sAzZV7DX6mD90NM7AE6tLOQfZENvd8+r3MPX8gjyNGjGiyrml2YCZEIL169mRf+ChNajOZBdBr654pxcDWMSDztB/87NatG2X+6tE4Ccg+lLZt2zKIoazFBjWQDnPIk+GYVGGZKUmREqM777zTZDVK8IZiwUFYKMDjBGJN2uvROA2R3E8JZTogTafvVXw5CF/J0DP158jBv0ylxu23/9/vTac7sxo/Kh4chIcghrBNmzZcunRpkxVEswMzuZLQ54dCIY5HWAMzzRopBmyOgesQZjQS4SuvvNJkReH1L9xyyy30+QIsxLNqHB1kHOsdnWT8FmfJ7/dT+k7tvPPOtNBOsxoOwYJkn4Rh89BDD6W0w7DzIeOr62XVWnWNQ/CVDP2y8TkEr71796Y0uY9EokzgRsWDQ/BQiGdMCeO4ceOapW9aFJjJ5tnddtuN7WFxDuLqmNvcMdes0tazSm6V0UzE2QoW9913X8omcz2aJoGvv/6aHTp0oB97U0pNNjai+nfmykXSJfs6Nr8d2L9/f9N0WrIaubhLseAAZymKMSwqKub06W82beJn6NPShFbGG8P5ii8H4CsVOqgc8w19/s0338yzzjqLPl+U8l4qrqXnTK79ktJ3qbIRv6E5R4sCM7ngBx98QD/AKxDSwEwDM8WATTFwHoL0ARQKeD2aJwGhTJeNvIV4To2jR52lXNzNUCjMRx55hAMHDqSF9ooFm2OhDLMMDf3w4cO5fv365k3+NH9Lxil7U6QpbRneV4zZHGOpCmzCOJnhcJgvvvgii4qKGMThrMVvigcb40FarIRCMQpxWHOPFgdmcmHpv1Fs+ShNa92acdD78m62yenP/j3EWebzmVW35ioK/V6dBIYMGUIf2igRiI0NY6qcpPrz+rGn2ZgvixxCbx7Deeoo2RgPIZxgWGi/+uorR6kx6TFZUFDIME5VfNkYX/V6IRW/yzHPMMLKooIQdgH5LMGbigeb4qESiwkUcejQoS1aBEpKYCZp98rKSgp9/lIlAtHg1KZZI6cHWM0Z/xIkOBB+tmndmp9//rmjHBM7DnbatGnMzc1VZ9ymhjEVztHG5yzFOwRyzYLkiSeeaMqNNKuR3FKgjWXe3L8LMYWBQIwPPvigHdXJVsd00003EchiBT5VZ9yjOicbVxubM2fOHLO31YddFAs2xUIEfze8Gy3JlolSSEpgJicaM2YM8wAKHXdzHEj9jmakFAPJx8CDiDAKUDah6tFyCUjT6YMPPpgWtlVnyabGsblOfGO/J8ycIRxvSoueeuop4zSFMFydJZvhQdpbCO287INfsWJFyyd/Bs7w448/Gvp8H3poLyub4aux+iIZnxP6fCmdfuihhxiLxZiLO1Xf2AwP5VhgSo9PP/30FmuKpAVm0n+jbZs2PAB+Dcw0Y6QYsAkGBsBvSCvEwOuRHAksX76cpaVljOAMNY42M47JcIIacw4pWbGsLJ5yyimcOHGiyWqUYY7iwUZ4SOAWsyf0+eefT87Ez8BZhKFx0qRJBPzMw/2KLxvhqzF6IlmfkX1LQjZ03XXX/U6fvwOFjChZ59fztDzjLz0Se/ToQWmv09IjaYGZDOSBB2TTW4j3IKKOuU0cc81CJT8L5RSZ/gsRRiIRTp06taV6Qr+/kQSuv/56Q51ehtlqHD3qLAl9fjicxVmzZv1eYtSdtfhV8WADPFRjJX3Yxuz12GjqOu5P6TkpjLA+9GUt1im+bICvdAcyNVhDH7qZva3SriMajTIb1ysWbIIFYecNBoOmx2UyFExSA7MffviBe/Tvb+jz5ykRiAanGpxmDAPvIM5yWKZvTzJWcJKhbNx0jsWLFxs6XCGCUPr8lq82ptvRScb1arCKPvQyzpL0uQNACdaScW49R/MxJaWmQRzBbbfdlp988okr1M6HH37InJx85mCC4ssmzni656hk5AOBPF599dU8//zzDclEBT5XPGQYD9X4jj705K677spkVSYlNTATDfj0008z5Pfzam06nTGn3CkZHR1narJ5y5DgWQgyGAjw5ZdfdoVjYsebuOOOO0w5WyGeV+OYYeOYbiep/nq5uIeBQMCUM3bp0oV1e4FWKx4yiIcivEwgyrFjx/K3336zo+po8pjkPkaOHGmC/0osVXxlEF/1cz8Tv6M4m7FY3DS5r62tZQAHKhYyjAXJXEpl0rvvvtvkeb25LyQ9MJPN8cOOPJK1sPiFMjRqcKZZs7RjYC7irITF0047bXPzXt9PggTWrl3LXXbZlT7spCVGGTaOmXCS5JpSWubHQHbu3JkLFy5kYWEJhUUtU+PR65IB7GuyZd98800SZrl9TjFz5kyzVSSC0Yovj+qbcnxMC1WUti1nnz3GUOnLQoTO++Zn2FsiO2n47fOV8pxzzkmqokh6YCajW7JkCYuLizkSQcrqvWZGUpMZUbmqXDfGwFdIcBD8bNWqFX/++eekKgs92Z8l8PbbbzMejzOBG9Q4etRZqsQSAjGee+65hkJfShrL8aHiIQN4KMJ/zd5P6THnxuO8884zJWxVWKb4ygC+WuLEJ+u7cYwzTLDTp09nTU0NAxikWMgAFqTRtywClZeXU1qGJfNISWAmWbMzzzyTYYDPKn2+BqaaNUsbBu5HhJZlmTp0YfTSI7USkOD3sMMOo4VtWIGFaiAzYCCT5fC05DxRnMlwOGwIsKQpsNDn12K94iGNeKgLkHPNvtpff/01tRM/Q2evJwIJ4BDKXrqWYFa/m5ksS0vlXoNfTMn0nnvuyccee4xZWVnMw78VC2nUNfIMizGNQA6vueaapGuDlARmMsqvv/7a1EMPhV+zZhqYpC0w2TiD5KW/pXS4H/wsKizk6tWrk64s9ISblsD7779vdF0M56txTLNxbKmTk6zvS1AumbLjjjuOl1122e9Npz9QPKQRDzL/5Bm0tLnrpme5fd6V9gx+f4AFeFLxlUZ8JUtXJOM8sq9Z9lEKO/CAAQMIlCt9fpqx4ENXdurUialYAE9ZYCZqTPpvZPn9fAVZ6phrcKYYSDEG7kSEiUiE//3vf+3jRXhkJBdffDF9vjJW4kt1ltJsIJPh6CTjHDn4P+bmFlL2AvXp04d+7KH0+WnCQiUWGef0b3/7m+s1jjTL3nHHHSl9k4QZNBnY1XM4K3tWg9WmjK5t23a8++67GQzGmI3xioU06ZtsXMecnBy+8MILKdE3KQ3MhKZ7t912YxnARbrXTAOTFAcmXsqObXyvHyGbRYAr+vakRNOl+KRLly5lx44d6Uc/NY5pMo52dCZ92M30nLrvvvsYiUSZi4mKhzTgwY+/mNVrKfXzwiEOoTaddlYwlWx9VYYP6PP5TIZ+xIgRZmFCArZkX0fP90eclWMBLdRy//0HMVX6JqWBmSjIhx56qG7PC8Ja0qiBiQanKcDAUiR4GoKm1nzatGle8Etsd49CZz1u3DgCERbgaTWOaXDG7egw5OMRAiHjLO288860sCOr8I3iIYV4yMP9pmXBrbdOsJ1eSOWAhg0bRh9aUfoo2XEu6Jj+6NCnQh4xjGV5eSWFhEoIv0I4mkJKkYpr6TnrnmcM51H2Ec+ePTtl0zvlgZlQSvfq1Ys7wuJCzZppYJKCwGTj7JHX/p6JOCtg8ZhjjuH69etTpiz0xFuWgOzra926Nf34qxrGFDridnYQhPBDmo5LqZn0EIxE4lpilEIs1OAn+tCX7dq189y+WmHlEwdR6fNTHwDZVecI4Y2Fttx777/wggsuMAuDSp+fOjyUYa5h4L3hhhu27Ay08L8pD8xkfNLfJTc3lxchqIGJBiaKgSRiQLJlQxEwtLlK+NFCbZiEr0+dOtVkLjVrljrjaFcnqX5c0tsGyOOll17K008/nT5fASvwqQbrKQjQcnC7mW8ffPBBEmavs04h7NdDhx5JC5UsxzzFVwrwVT+n7fw7jqvMHJC9ZhUVFQzgAMVCCrBQx4bZl126dOFXX32VUmWRlsBM7mDM2WczbllKBJJEp9xrmSG93z/3bXsAEUYDAd52220pVRR68sZJQGi6DznkEAIFrMLXaiBTYCDt7CTVjy0LlzE7O8F77rmHlZWVDOIIpc9PMhbqCD+yedpppzVucrrwU0IEUl5ewTBOVV2TZHzVz2W7/67Bz7TQkf379+drr73GYDCbhXhG8ZBkPOThQQJh3nnnpJQwMTZUT2kLzIRSurCwkEPg55da0qhZIw1QW4yBT5DgzvCZTe/Lly9vOK/1dQYl8Morrxg6a2kEanejruNLTWavboN4NQ855FCOGTOGQD6L8T/FQ5KcJdlHE8SRLC0t5bx58zI42zN/6QkTJpg9dqV4R/GVJHw5TS+W4HVDn3/nnXdy0KBBBMpYhRWKhyThoRa/0ofuhm03HTM+bYGZbI6X/i65AKcpfX6LnXLNHv05e+Q1mdyGiGniLgQ7ethHArLPb/jw4bRQrRvzk2QYneYoyXhzMIE5Obl88skn2bVrV/qxjzpKScJDKd4jkMt//OMfFN/Cy8eyZcsMI6wPu1JZ+VKz0GJ3/SN7W4M4nCUlJaZNld/vZxYuV32TJH0TxRgWFxdzzpw5aVE1aQvM6u+me/fu3BU+LtGsmQZnmjVrNgY+Q4KtLYsHHXRQ/dTS3zaSgOz/kBK2ME5S45gk42h352hT4/NhZ4rNe/TRRxmNRpmPyYqHFuKhjmBld0MqZqMpn9GhSMmszxdjAZ5SfLUQX5uax054rxRv07KCHDPmHA4ePJgWWmvT6SRgoQyzDOHHqFGjKHY9HUfaA7P777/fGKgbEW62U+q1zIjer2bHGmJACD9OQtCUBktNuR72k8CGDRt4xRVX0OeLsBhT1VlKgoF0gnO08RgL8SyBbMOYttdeA2ihAyuxVPHQAjxIc9d4PM7HHnvMfhM/QyMS9ut99tmHFjqzFusUXy3A18Zz2El/x3Ahy8rK+N5773GbbbZhGCMVCy3EQgjHMi+vgJ988knaZnfaA7OffvrJ7InpAovSFLehw6mvNQBRDGwdA68ii8WweMQRR6RtBSdtGslFF/r6669ZUFBg6PNrsVYNZAsNpJMcpPqx1mID/djbtFG46667GAiEmYPbFAvNxEIlFht68P+vvfMAk6rI3v65nSbnGZiBgRlABUQyAqIoCoJKEHMGMf/NYYVF3QVc1JUVFFBcXTEsmPVD1EUWWQPGxbASFBUJiiJBEUyAoO/3nMIepxGG7p4ON7z1PPP09Ez3vVW/OhXeW1Xn9OlzOFSMMP1GQM/x5+fnI0/+RvuK077C7dapryrK1X1+v379cMMNN5oA1HSfH//2VnWPryvRjz/++G8NLQW/pVyYaZk0/kZWMIhxEqIw43Y+2kCMNjBM/Khs3NiEoUhBH8Fb1IPAY489hkCgCKUym5Mlj06WKuR9+Hz5GD16NC699FLj3pxBp+ObLGXLn4y3SxUhTJEENm/ejCFDhvzqPv9j9jce7W/yZQpELIwfPx7Nmzc3DwbVc6NTxWa68t1UNprtoH369MGWLVsiG1uS36VFmGmZNL5LlgiW8awZhUmMwsTLq2qzJAsigilTpiS5a+DlE0VgwIABZrKUrgGG941PBCSSW75MNu32zTffRIsWLRCQ4zhRinHiXClfGoa33npropqm666zYsUKWJaFLLma9hWjfSWyvafzWrpqJtIQBx98MNRLo0gIXDWLfQzIkwmmLT377LMp7yfSJswWLlxo9sKeJn46AqEwoTiNwgY+kjx0FQtdu3YF3eOnvK+M+4bPPfecCQCaKzdxsuTRyZKeK9PzZX379sXw4eo+X7cjz6M9RGkP+sTfL33QunVrfP7553G3RS988cYb9WxrORrLCtpXlPaVTiGVjHs3lDfh9+eaOIqDBg0ycc6aygbaQ5T2oKx0S+jAgYPSclwkbcJMD8erl5NisTCH7vMpTKIQJl5eKdOyT5YMBEVMZ+uFCYZbyqjuvHVCbsneqJQvODhGOTgmY8KSzmvmyx3IyMjAtGnTUF7eCAEZRFuI0hZKZZYJ7jp16tSkB3d1er+jZ1vbt28Pn3SnfUVpX+nsF5J1b3X8EQqF8OSTT6KgoAA5Mpr2EKU9hOQslJdXpHwLY7jvSZsw0wxs3LjR7IE9TvwUJhQmtIE6bGC55KOtWGaCn+r9zuHOgq/xE1i+fDnKysqQI2M4OEY5OCZrwpKu66qbd50s9+jRw3gUzMkpRJnMoT3swR6qZAt80hWHHdY7bROl+Ft+6r+pD70nTdKtsyGGZ9iDbaWrL0jFfcvlXeMRVmNqaqB7dZ9fKZ+xv9mDTTSQl6Bx4DRGYrpSWoWZFlrVfEYggMckmxPzOibmXl8t8nr5r5AgGpSV4YMPPkhXX8H71pPAjTfeaJ76N5KPODjuYXBMxcQlHffQyZJl5ZhBv3///hApZhDyPdhCjlyPkpJS4wK8nk3QM19XRyD77LMP/NKXfc0e7Csd/UCq7qnOctQz8CuvvILi4lJkyhW0hzrsYceW6SPQuHETaOD2dKW0C7P169fjwAMPNKsBS+g+n+KU4vR3NjBXcoyjnPPOOw9bt25NV1/B+9aTgMZBUS9ZARnAWEN1DI6pmrSk4z66ahaSM1FUVISJEyca72m58ldOlnZjDxWyCCKFOPvss9n3xdj/qPdrjffGoOaxO35IR9+QjHtWy1ZY0grHH388/vrXvyIYzEOFLGB/s5v+pkRmIhTKx1NPPRVja0vsx9MuzLQ4zzzzjDk7cxvd5/9uUu71lSKWvwBniB+52dlYunRpYls/r5ZSArrFSD3KieRCt0skYyDmNe0/CWskS423r+HDh+Oss86CJVUU6ruZKIXkPGRn5+LTTz9NaVt1w822bduG0047zWxnayJr2N/sxsbc3mcWyYPw+bJw8803o1WrVvDLoaiSzbSHneyhqWwy3iw1Pmy6ky2EmUI45phj0FIsLKX7fIozrprV2IAGk873B8zT9XR3Frx/Ygjsv//+ZouRrp64fVLA8u1aKKor5ry8Aqh34kaNGplVNLKKZKWrZX5/Nu6+++7ENDwPXuXVV19FIBBAloxkX7PTRNwr7a2pfAuf7I9OnTph3Lhx8PvzUCLP0B52socs+QMKCwvx+uuvp72nsI0wW7RokRmgzpdAzaSUqyUFZOFhkaYOP9qIhQO6d8emTZvS3lkwA4khMGfOHLPFqFDu5eC40+DoncnSJvikC7p1645Ro0bBsoIok//QHn61B51M6hYsjcX03XffJabhefAq6hH2oosuhiWN0UTW0b482t80lNcRDAYxefJkHHXUUfBJJ9pCLVvQc98i5bjwwguxffv2tPcUthFmuux+ycUXI0cEeqaGooyizMs2sEbyMV5CJqDq9OnT095RMAOJI/DDDz+gX79+sKQ53efXGhy9IsrC5SyQu+Hz+XDTTTehQYMGCMhAVMtPnDAJoKEFfL4gHn300cQ1PA9fqaqqCuoCPGx7fI1cnfUCjwy5CCUlZZg1a5Y545ojf6E9/Dr+BGUIKiub4Pvvv7dFL2EbYaY0li1bhuzMTGjQaS9Pyll2itKVv7rH79k3iaKwAAAgAElEQVSzJ58Y26KrTGwm3n33XWRk5IKOH7w3QQpPAtUDmE86o3v37njssccgksWg0wJUyXewZF/jsIDOjhLT74wfP964AC+T5zkZ9+jDoApZDEua4JRTTsGQIUNgSSUayYeet4cS+X/IyMixVXxYWwkz7YLuueceZPl8eIceGilOPbyN8UYJoSA/H5999lliRmZexXYErrjiClhWCXSCHp6s89VbQq2xrDQhFP7+97+bc9YiFZ53BJIpl6Nhw4ZYu3at7dqsUzOk3q/1LKNfDqfjB48KMx1bsuUa4z7/vvvuQ2ZmJrJkhKfHniay3jwE0nPfX3/9tW2at+2EmS4lht3nf0pHIBRnHhRn6vAj1/LhsksvtU1HwYwknoC6z99rr70QlBM9PTh6XYxmyMXIy8vDhAkTkJOTg1y5wbP20EBehmVlYPTo0VAvpkyJIzBjxgwEg4VQl+Beb3NeLX9T2QBL2uCEE04wXho1FIWXV83yZQpCoTzMnTs3cQ0tAVeynTDTMv3zn/+EJYK/0X0+hZnHhNlqyTdbefPz87F48eIENHFews4Exo4dC5EcOn7w8FPsCnnfbGO88MKLzMF8S/ZBpaz23ORZvZQG5BjjGCedwV3t3F/UN2/q/VodgXhVmLDcQKnMgkgIU6ZMQefOnWFJB0/agzoYEsnGueeeW99mlfDv21KY/fjjj+jWrRs6iIXPuGpGceYhcaaObwpFTDDIhLd2XtB2BNatW4cWLVogIIM9OThyorRj62au3ITS0lL861//MlvOsmS45+yhVJ5DIJCPp59+2nbt1C0Z0pUBfeiXI6M9Z1/sa3b0NXqGU7e0tmzZCiNHjjQirVge9ZQ9VMvPUIcfzZs3N74t7Na+bSnMFJI+McvMyMAtkkFh4iFh4nXHJ13EMs4A1M0xkzcIvPTSSxCx0FDe8NTgyIlS5Hk6n3TFQQcd9GsQch90Jc0rjKplK0SKcPTRR3uj0aeplLo9VJ0/WNIMer7RK/bFckb2NRqaw+/3Y8KEW7HvvvvCJ908ZQtaft2pMmLEiDS1xLpva1thph2IxhTItCy8Tvf5FKceEKcTJQNZWVl45JFH6m61/K+rCKj7/AEDBhgvWXoYmZOIyEmEV3gUyUPGEcif//xn7L333vBLP884htEAyHq+Th9SMCWXwMqVK41zlWy5ln2Nh7dQ69nWZs2a4ZlnnjGBlfPlds/YQ0AGoV27dvj222+T29jivLpthZmWZ+HChWaiqu7z9eyN11dTWH73utFfJLkmmHT3rl1tE0sjzj6FX4uDgG5h01WzPPmbZwZHrwiuaMtZJZtN0OlOnTqZJ9kimSiTua63h0pZZdx4n3feebYI7hpH83XcV9TRjEgQjWSJ6+0r2vbntc9VyhcmluZJJ52EoUOHQvsb/ZvbORTIXQgGM2z9EMjWwkx7u2uvvRZlYuFFrppRmLp41eyvkoHiggLMnz/fcYM8M5wYAscff7zxmFUl37t+cHT74B9v+crlbfj9xZg4cRJ69eoFn+zv+qDTIRlqzlnayV11Ylq0fa+yatUqtG7d2pw10m2k8dorv+fs1X0NMq1u82+++WYEgyFkyhWutoUdYrQxTjzxROhOFbsm2wuzzZs3o3379ugtPgoTFwsTL68Gviu5yBHBVVddZdd+gvlKAQF1BFJRUYEMucDVgyMnc3VP5nRbnzpo0Nhm+potf3atPZTKvxAMZuHee+9NQQvjLcIE9KjIHXfcYbzSlckc19oX+5q6+5oq+QEaO1HPdo4dewNEitFE1rjWHjSOm+5M+e9//xtuCrZ8tb0wU2rTp09HKBTCnZKJNdzSSIHqIoH6ueTjOPGjuqoKS5YssWUnwUylhoA6fLnmmmtgWeoIZL5rB0dOluqeLDWSj2BJU+OkYeDAgbCkCo1luevsoalsMiuCunVTH0owpZ5Ajx494JdDPR/U3Mt9Upk8b7Yx6nZ6XQTxS39Uyy+u629UcPp8ZbjuuutS39BivKMjhJlucejQvj06i4Ulkkdh4iJh4uWVMi37bMlGgQj+cv31PF8RY+flxo9//vnnKCgoRFBOh8Z18vKEwctlz5HrUVRUhAceeACZmTnIkhGus4UimWZcdb/66qtubMqOKNPLL79sVmXzZLzr7MvL/UcsZd8RP/BolJWVYcyYMQgEAiiSh11lD+oe3yfd0bFjR2zYsMH2bdMRwkwpvvDCC8jNysLdkklhRmHmChtQhzaHiR/7tWlj6/3Otu/FXJbBqVOnmnhODeVNVw2OsUwW+FnAknYm4LROlny+bDSWT1xjD03ka1hWCc455xyXtV5nFUdjxg4aNMg4X6mUz1xjX+w/6l6V35lPA3kFIn4MHz4cLVu2hE8OcZVH2CJ5BCI+E1TbCS3UMcJMYWonro5A1IOd11daWH7ne2icLBkoyM017mqd0Fkwj6kjcNhhh8GS9lw187A7az1/pbF2Ro8ebVw762SpWn5yxeRZg7tWVlZi0aJFqWtUvNMuCWgdZGbqOefrXWFbO4sOvo9OpGXI+aisbILZs2cjFMpGodznCnuolm1mtWz//fd3jMdrRwmzt956C6WlpRgifnzJs2YUpw5eOdSHC03EQu/evbFp06ZdDpj8o3cJPP3008ZbVr5MdMXgyMlRdJOj2pyqZAv80tt4LLzyyishkoUSmel4e2ggr5pg0lomJnsQ0EC7uoJZKasdb1+12xB/j63fsaQJNGzFBRdcAMvSOcpXjrcHjc+m8WFXrFhhj8YWRS4cJcy2bduGyy67zKyavUT3+RRmDhZmYySInFAGeL4iil7Kgx/5/vvvzTY2S9q6YnDkBCm2CVKYl7rPDwRyzNkPddSgq2bh/zn1VYO7tm3bFl999ZUHW7Y9i7xy5admC5vWjVPtivmOr4+pzS1PNL6d3/Q3xcXFMEGoHbxroUIWw7LycMkll0I9kTolOUqYKdTvvvsOJcXFOFn89NDoYGHi5a2Yn0k+iiwLl19+uVP6CeYzDQTUEYh6oy2Qv3Oy5ODJQe2JTzy/Z8u1yMrKxosvvmReC+Vex9qDOhXIyMjAvHnz0tCieMu6CIwbN86sypbKc461r3jaF7/zm6Db4T6/IY444gjjFVakBBXyviPtQT1LhuQs5OXlYfHixXWZvu3+5zhhpgTvv/9+ZAWDeEyyuWpEceYoG1CHH4PEj71atMDyZcts1yEwQ/YiMHLkSPPEr5F86MjBkZOe3yY98bKolC9hSSsMGDAAJ5xwgtkG6ET3+TuCu1ajf//++Pbbb+3V0Jgbs4K5zz77wC9Hsa/x8IOgMpmLUCjHxBZs1aoVAnK8I+2hofwXIgWYNGmS41q3I4WZurvUg3z7iIUVPGvmKGHi5ZUyLfvjkoVMEYwdO9ZxnQUznHoCS5cuRePGjRGQ4xw5OMYrRvi9SEGXI2OQk5ODiRMnQkQc6T4/V242eafDj9T3I9HeUQPvqn3pOUC2wcg26CUeQTnJrDTdc8898Pv9KJEZjrMHS9qge/fu0Zq+rT7nSGGmBB977DFkiEA923l9ss/yO8dD45HiN3v5165da6uOgJmxL4Hrr78eImUMOu3hp9hVshl63rBv377m/IdIQ1TKKsdMlnTVT6SBccdt35bGnG3ZsgXHHnss1L6ayFrH2JeXRFMqytpQ5pvVprPPPtvE/vLJ/mgqGxxjDxqXTx1+zJjxlCMbtWOF2c8//4x+/fqhuVgUZtzO6AgbeFgykRkM4qWXXnJkZ8FMp4eAOj1q3bo1/HK4YwbGVEwevHYPdQRiWRlma44GSvVJD8fYg+a1Xbt2WLduXXoaEe8aNQE9/ydiIUfGOsa+vNYXpKK8ITkb5eXl0LiaGgPMKUGnm8gaWLIvDj/8cGzfvj1qu7fTBx0rzBTiwoULjfv8KyUIPbvDlSPnrBx5ra4WSi4aiIXBgwdDg3oykUAsBGbOnGmeABbJg5wseXTlTGOY6XmPkpISjBjxR1iWhWJ53Pb2oHkUCeGWW25xlGe0WNqn2z572mmnwZKWaCrf2N6+UiFSvHiPpvItLGmBc889F0OGDIElezli1UydJWlYrWUOPsPvaGGmT5J1qbVYLLxA9/kUpjZdOVwj+bhOgrBEMHfuXLeN4SxPCgio+/yePQ8229m4xci7Zz/K5V0jyIYPH44mTZqYOGfVstXWk2d18d+pUyc+kEpBP5GoW2zcuNGcbVWvdl4UJSzzjj62UKYiEAiZ7dN61jlDLrC1PVTIe/D5sqEeRp2cHC3MFLwejlf3+eeIn8LEpsLEa6tjO5f3fckzwaRPPfVUJ/cVzHuaCaioz8zMRb7cYevBkZOa5ArHLBmBhg0bQoOQq0MQO6+i5stk5OfnY8GCBWluPbx9LAQ05tONN95oHgI0lNfY33h0lV7Plen5sq5du0JXUfWss26ptmMfr67+/dIP6kly5cqVsZi77T7reGGmRNVTVbYI/sNVM4pTG4rTY8WPqqoqrF+/3nYdADPkLALnnXceLKl0xJYSOw7ebshTlXwHSzrg0EMPxbBhwyBSiEr53HaTpUbyMUSycf755zv2rIezeofE5nbNmjUoLS0z22d1G60b2g7LEPtDI41rFwwGzTxbtwiG5Fxb2kKpzDL9zYMPPuj4LdOuEGa67N69Wzd0EgsredaM4sxG4uxJyTJPHdU9vpMizyd2iOfVEkVAdwg0bdoUITkHGkCTE43YJxpuYJYntxkHDbqlUVekMuVy29mCbnvKzMw0Z8ETZf+8TmoJTJs2DYFAPhrIS7azLze0Y6eUQd3nN2/eAuo+PxQKoaG8bit7qJIfzTZ/DYzthuQKYaYT3nvvvRd+EdwpmRQmNhImO2/r89J7fUjQR/woLi7Gl19+6Yb+gmVIMwE9V/vHP/7RrJJoAE2nDOzMZ2IFZJV8bw7jH3zwwRg27Czj3lxXqOzCubF8Ytxt624WJmcTUO/XGhNKbc4u9sV8JLY/2RPPClkISxrj9NNPxyGHHGJEUFPZaBt7yJQrUVZWhtdff93Zje3X3LtCmGlZNm/ejH323hsdxcIqrppRnNpAnM6QbGQFg3jmmWdc0VmwEPYg8PXXXxvPfCEZapuBcU8DO/+f+ImUOgIRycDDDz+MFi1aICin2cIeqmUbfNLRscFd7dHK7ZOL2bNnIzs7G7kyzhb2xb4k8X1JNEwz5GIz7lxzzTXw+TKgjkGi+V6yP6OiUaTciEZ9cOmG5BphppWxePFiFBUU4G8MOk1hlmZh9qHkofGv7vHd0FGwDPYi8Oijj8Hvz+EWI48eyg9PdnRLa1lZA1x33XVmi1GJPJP2yVK+3G7y8sgjj9ir0TA3cRH44YcfcMwxx8CS1tAYUWHb42t6BFK6uDeRdfBJC5xxxhk48cQTYUkr2MEjrJ55Ky+vwKeffhqXfdvxS64SZhp0WmMuiAgWSC7FSZrFiZe2LdYuq7rHv0KCxmPanDlz7NjumSeHE/j222/Ru3dvWFIF3V+frsGa903v5Kxc3jFbBnWy1LJlS/ikG5rKprTZQxP5Cpa0wwEHHIgtW7Y4vJUx+2ECq1evNucFGXQ6ve093f1tkTwEET+mT59uVs+yZGTa+hplUS5vwe/344EHHgibqiteXSXMtEb+97//GQ8y54qfQacpzNIizt+VXDQVy7iX3bp1qys6ChbCfgQ06LRIAAVyV1oHx3RPFrx+/yy5GuXl5bjzzjsRDOajSKanzR6y5To0aFCODz/80H4NhjmqF4FRo0bD58tDhSxOm315va2nu/zqEdYvh6FNmza/us8PIl1nnZvI1/BJJ3PmbcOGDfWybbt92XXCTAGPGDHCBJ1ezFWztAiT2qtHXvz9dPEjNzcXmzZtslt7Z35cRkCdP+jB/HQP2Lx/ep+kW7IvBg0aBI2VqOct0uGoQSfsultlzJgxLmtlLI4SWLFiBaqrqxGQAfQI6+Et1CUyE35/ANdcc61ZrQrJmWkZf/SBpGUF8OSTT7qugbpSmKkjkP322w9HiB9f0BEIxVkKVw6fUocfgQAmTJjgus6CBbIfAQ2kWVFRgWy5Ni2DIwVZegVZmH+h3GccgajHTg0+nSlXpHTyXCWbEZBjzMTd6cFd7dfK7ZOjcePGma2zDWQe+xuPijMN0xKUM9C6dWtMmjQJfn9hyoNO7/BK29I8iLJP60hcTlwpzBTP3XffjYDuPaX7fAqzFAmz5ZKP7mKhefPm0D35TCSQbAJ6rvbKK680+/4rZAEnSx6dLFXJD7CkPTp37ozjjjsOIhUp3XKmE3X1EKnjLpN7CWh/ow+9/dKLfY1H+xp9GKSOQNR9vvp06NmzJ0QaIJVByAMy2DyQ/Pzzz13Z2FwrzNavX4+2bduaifJSrppRnKVAnN0nmcgUwf333+/KzoKFsieBJUuWIC8vDyE5j5MlD0+WyuQ/CAYLoMHsdwQhPysl9qBPr33SGUceeaQ9GwhzlVACzz33nHGfr6u04RVbvtpj5TyV9aCOP4LBoHkwqA441BtrKu6/4yFQCH/605+gDwrcmFwrzLSyXnvtNQadToEg8eI5sl2VuVos41Z4+/btbuwrWCYbE5g6dSpE8tBIPkrJ4JiKAZj3iH2ylymXo7S0Ae666y4EAlkok+eTbg/q8KOwsBAvvviijVsIs5YoAj/++CN69+4DS1qiUr5Mun2xH4i9H0gFMw0wrWPO8ccfjwMPPBCWdIA6B0n2vf3SH7m5edB4nm5NrhZmWmlDhgxBlWVhseRx1YgiLSk28KXk4zIJoqioCPPmzXNrX8Fy2ZjAL7/8ggMOOAA+OZDu8z28atZIlpgtRsceeyy6dOlivJY1lQ1Jmyw1kg9NyIYzzhhC9/g27h8SnbWXX34ZWVl5yJMJSbOtZE/wef36C75ieRTBYDYefPBB4z4/2eEUymQucnIKoUHP3ZxcL8zeeOMNYzAXSDApk/JdrZzwbwWeYv2y5KBcLJxyyin46aef3NxfsGw2JqCDo24tKZSpnCx5WJxlyXCUlZVBHYGIhFAo9yfNHjLkEpSUlOKzzz6zcctg1pJBYPjw4eYso8auo8ipv8hxKkNdwVKHQ5dffjksKxcV8l5S7KFSVkOk2OxK2rZtWzJM2jbXdL0w0wocduaZZuI8T3I8JRgoEFMjEM//dbXsk08+sU3DZka8R+D777/HAQf0MEGGU7GlxKkTCbfnWw/hW7IXjjvueAwePBiW7JeULUYN5Q3zIEC3TTJ5j4B632zWrJnx0Kee+tzerli+XYvPUpll4mkOHTrUCLSgnIZq2ZZwe8iRMcjIyICu1ro9uV6YaQWuW7cOzZs1g8aXolhJjVjxCudXJQdZIpg8ebLb+wqWzwEE3n//fYRC2dxi5OEVM51AlsjT8PuzTUyxRo0aGff5iZxYNpVv4ZOu6NSpkxlfHdA0mMUEE9Cz1KNGjTLnjBrIKwmfiCfSXnmtXYuqRHCplp8RlFOx1157GcdDIoUJDzpdKV+Y+IzqBdKtDj9qN09PCDMt8JQpUxAIBDBTsinOeNYsITbwqeSjo1jGRfXatWtrtyv+TgJpI3DZZZeZLSU8mJ+8yUgiJjTJvIZ6SvRLbzRu3BgnnXQyRHLRUOYnbPKsHvl8vgw88cQTabNz3jj9BDZs2IDqal01OyVhtpXMdsFrJ6dP1DiGGtj+qqv+gB49dNfGIQl1n69x01q0aJF+g09RDjwjzNasWYM2bdoY9/nL6D4/IcLEK6tiuyvnPyQTGSK45557oM4XmEjADgQWLlyI0tJSZMj5nCx5eOWsgbxoHkaqUC8uLkVIEuM+v1q2wpJ9cNppp8PtZz3s0J7tnoeZM2ciEMiGOmag8EmO8HEC11y5CYFABkaMGIGcnBzky5SE2EOxPG76sTvuuMPuTSFh+fOMMFNijz76KEKWD/cy6DSFWT1XDVdLPrqIz3jCS1hr5IVIIEEELrroInNQmkGnvTtR0smcOufQrYwTJ05EIJCDxrKy3pOlkJyL8vJyLF++PEHWyss4mYCebdUYdiKNknKW0QmihHnUoNPrYUlT9OnTx6yaWbIvdAtifdjs2DLdA3vvvTe+++47JzeTmPLuKWGmHvOOPvpotBYLn3HVjOKsHuLsOgkab59vv/12TA2OHyaBVBDQyVLbtm0RkOPrNTDWZ1Dld9MvCitlFSxpgUGDjv411lAb6DbHeOumobxptkWqx0eulqWiJTvjHrNmqQMIH/JlUty2Fa9N8nvp72fCdVAsTyArKwu33HIL8vKKkCs31sseCuQu447/zTffdEZDSFAuPSXMlNmCBQuQl5eHURLEGoozirM4xNl8yTUOP9QLEScnCeqJeJmEE9AdAuo+v1SerdfgGB50+WqfCVAsdZEt15qtRZdccgksywed7MTy/dqfDcqJ5oHUV199lXB75QWdTUBXSiypRrVsj9u+atsaf3dmfxOQQWZF/corr4Rl5aBSPo/LHvSMtLrfv/DCC53dMOLIveeE2ZYtW0zQ6RIRvEL3+RRmMQozFfPnShCZGRlQD3hMJGBXAnowv1u3bvBJFyQzyDAnUPaeQDWVjSYIdN++fdGv3xHwSce43FmXyRxkZOTgqaeesqvJM19pJLB69WpUVlYiS/4Q10Sc/Yi9+5Fo66eBzIN6ZjzllFNRVVVldm1UyZaYbELd7YfkHON+f/HixWm06vTc2nPCTDGrIxARwUUSoDCJUZjszhGGV/7+oeQhk+7x09Nb8a4xE3jhhRdMjJkieSSmgTHaQZifc8ZkqlzehmVZRlQVFBQiW66LyR40Lp5IJgYMGIDNmzfHbIf8gvsJqAOskSOvgYiFcnk3JvtiP+KMfiTaegrKCaiursZZZ50FkXw0kFdjsgcNUi1SgJEjR7q/4eyihJ4UZsph3LhxKPT58RpXzShOoxSnei6xq/iw//7748cff9xFc+KfSMB+BHTLrSUtzeHsaAdWfs5dEyV9Ah2QwWYb4umnnw6fLwsVsjDqyVKOXG8m3M8//7z9DJw5sg2Bjz/+GEVFRdgRZPjnqO2L/Y27+ptKWW2cwWjcsc6du8AvfaHxzqKpZ/2cX44wYYh0h5sXk2eFmQadbteuHTqLD6t41oziLApxdpuEzFNndY/PRAJOIaDnatWLnnroi2Zg5GfcNUkK12eZ/MfsFBkyZKg5oK+xgaKZLKl7fJGGuOKKKzwR3NUp7dqu+Zw+fTpEclAhi9jfeDhch55l1djBY8fegKysHBTIP6KyhwK5GxkZmfjXv/5lVxNPer48K8yU7J133omgCDQelVe24rGcBXHV9UqzWmahU6dOUI93TCTgFALqjfbCC9V9fsOYVknCE3q+ukeoqav7Zs2aYcyYMfD7S6BbHPdUvwE51gR33bhxo1NMnvlMM4GePXvCJ93q5QF0T3bJ/9u7X2oi62BJB7MA0qtXL1jSDOoltq5605U2S/ZG//79PeUef+fm6mlhpnvlO3bsiAPEimuyTpETn8hxIrebJISsUAaWLVu2cxviexKwPYEvv/wSpaUNEJKz6xwY6xo0+T97T4SiqZ8q+dG4zx88eDB2TJY61GkPJfI0fL4gbr/9dtvbODNoHwKPP/44MjIyEhZkOBrb5mfs1z8Vy6PGDjTotIZTyJWb6+xv1L2+fs7rjtU8Lcy0G3v99deN+/w7JIPiLIrtfE4UVfXNs3GPb1lQd9NMJOBUAlOnTkUwmItyeafOwZETHPtNcBJZJ3kywUx+zj//fGRmZiJfbt+lPVTJZvjlUBPcde3atU41e+Y7DQR++OEH9Op1GHzSCU3lm13aVyJtmteyb5/llyNNTM3/+7//g9/XBE3kq13aQyP5EH5/MUaNGpUGi7XXLT0vzDQO1ZlDhyJXBDoBr+8knt931yraasnHEPEb8b5o0SJ7tV7mhgRiIKDu87t37w5L2kHPDXEyY9/JTDLrRifKIuUm4LTuGFF70G1HO9+zSB5EKJSH9957LwYr40dJYAeBjz76CPn5xciVm35nWzvbGt+7ty/a4WGxAup0qFWrVtA4ZzvXt45HfumH/fbbD6tWrfJ8E/K8MFML0Kjifr8fF0kQX9IRCMVprZXDlyQHhSK47rrrPN9ZEIDzCUybNg0iQRTKP383OO48WPK9eydLZTIXgUAObrllPHJzc5En4yPsoVK+MMFhhwwZ4nyjZwnSRuDqq6+Gz6dBhus+W8S+xr19TbX8ggy5AMXFxSa2mUgGSmV2RH9TIv8PIlmYNGlS2mzVTjemMAOwfft2XHXVVSgTwULJozCpJUy8vgJ4sPhNkF66x7dTt8W8xEtg69atOPzww2FJ+4iBkRMj906Mdle3QTkFFRUVOOecc0zMoEbyUY1N6ERK3Z5ztSzelsbvKYElS5YYj7AhORM6Qd+dLfLv7u5/GstKWFYpTjzxRLRu3RoBGRhhCz45AIceeih0CywTQGFWywr22WcfDBI/dPua1wWJ18u/RvJxu2QgFAph+rRptayEv5KAswksXboUBQUF0LNGnBC5e0JUV/02kFeMIFNHIJWVlVDvi+o+v0IWQKQYF198sbMNnbm3BQE9MyRSiHJ5i/2Np93nqxv8XLMqpo5hSuXfxh50q2teXj4WLlxoC3u1QyYozGrVwuTJk03chfvpPt/zwvQDyUMHscw5jE2bNtWyEv5KAs4moO7zzzvvPBNrqJEs4WTJo5OlHVuMLkLjxo1rVs0aymsmGGyXLl0YFsTZzdw2uddVkA4dOuzybFFdDw74P3c9NKqS7+GTHmjTpg369u0HkQqUyfPmIZCu2utuDqYdBCjMalmCTsAbNWqEQ8SHJZKLFZLPH48ymCwZCAaDePfdd2tZCH8lAXcQUHfEat8ZchHU+16VbOGPBxk0kfUmvp2eJdMJk0gD46nxiSeecIehsxS2IDBjxgyz+6RYnmA/48F+Jjy+FMpUs/gxdOhQ+P0Bs2Kvu5J0FwfTbwQozH5jYX57/vnnkRsMonfcRgcAABaWSURBVL1Y6MwfzzLIF6F7/J3aBt+6i8DNN98MkXzo/n59kskfbzIQKTEiXWOVqSMQPYPIYNLuauvpLo3akwad1i2y7Ge82c/sqPeOEBF07doV5557nhFnulONKZIAhVkkD/Nu5syZGDNmDH88zODWW2/FV199tQvr4J9IwB0Efv75ZzzwwAPs5zzcz4XHuQkTJuCbb76BBgZevXq1OwycpbAVAQ1yH7Y3vnp7fqn9jCZdSdWt9UyRBCjMInnwHQmQAAmQAAmQAAmQAAmQAAmknACFWcqR84YkQAIkQAIkQAIkQAIkQAIkEEmAwiySB9+RAAmQAAmQAAmQAAmQAAmQQMoJUJilHDlvSAIkQAIkQAIkQAIkQAIkQAKRBCjMInnwHQmQAAmQAAmQAAmQAAmQAAmknACFWcqR84YkQAIkQAIkQAIkQAIkQAIkEEmAwiySB9+RAAmQAAmQAAmQAAmQAAmQQMoJUJilHDlvSAIkQAIkQAIkQAIkQAIkQAKRBCjMInnwHQmQAAmQAAmQAAmQAAmQAAmknACFWcqR84YkQAIkQAIkQAIkQAIkQAIkEEmAwiySB9+RAAmQAAmQAAmQAAmQAAmQQMoJUJilHDlvSAIkQAIkQAIkQAIkQAIkQAKRBCjMInnwHQmQAAmQAAmQAAmQAAmQAAmknACFWcqR84YkQAIkQAIkQAIkQAIkQAIkEEmAwiySB9+RAAmQAAmQAAmQAAmQAAmQQMoJUJilHDlvSAIkQAIkQAIkQAIkQAIkQAKRBCjMInnwHQmQAAmQAAmQAAmQAAmQAAmknACFWcqR84YkQAIkQAIkQAIkQAIkQAIkEEmAwiySB9+RAAmQAAmQAAmQAAmQAAmQQMoJUJilHDlvSAIkQAIkQAIkQAIkQAIkQAKRBCjMInnwHQmQAAmQAAmQAAmQAAmQAAmknACFWcqR84YkQAIkQAIkQAIkQAIkQAIkEEmAwiySB9+RAAmQAAmQAAmQAAmQAAmQQMoJUJilHDlvSAIkQAIkQAIkQAIkQAIkQAKRBCjMInnwHQmQAAmQAAmQAAmQAAmQAAmknACFWcqR84YkQAIkQAIkQAIkQAIkQAIkEEmAwiySB9+RAAmQAAmQAAmQAAmQAAmQQMoJUJilHDlvSAIkQAIkQAIkQAIkQAIkQAKRBCjMInnwHQmQAAmQAAmQAAmQAAmQAAmknACFWcqR84YkQAIkQAIkQAIkQAIkQAIkEEmAwiySB9+RAAmQAAmQAAmQAAmQAAmQQMoJUJilHDlvSAIkQAIkQAIkQAIkQAIkQAKRBCjMInnwHQmQAAmQAAmQAAmQAAmQAAmknACFWcqR84YkQAIkQAIkQAIkQAIkQAIkEEmAwiySB98BWLt2Lc4++2yICE4++WT89NNP5EICJEACJEACJJAEAlu3bsXs2bNRWVlpxt033ngjCXfhJUmABJxAgMLMCbWUwjy+9dZb6NSpE3w+H4VZCrnzViRAAiRAAt4kMHbsWBQUFJgxVx+IUph50w5YahJQAhRmtANDYNu2bXjttdfQuHFjBINBtG/fnsKMtkECJEACJEACSSLw9ddf49RTT4VlWWbsbdu2LVfMksSalyUBpxCgMHNKTSUxnz/88ANGjx6NwsJC5OXl4bbbbsOUKVMozJLInJcmARIgARLwLoEPPvgAPXv2hN/vx0EHHYRFixaZV66YedcmWHISUAIUZrQDbNmyBWeccQaKi4sxY8YMQ+Tuu++mMKNtkAAJkAAJkEASCHz22Wdo2LAhevXqBX04qkmPEVCYJQE2L0kCDiJAYeagykpmVlevXo2XXnqp5hYUZjUo+AsJkAAJkAAJJJyAnukOizK9OIVZwhHzgiTgOAIUZo6rstRkmMIsNZx5FxIgARIgARJQAhRmtAMSIAEKM9rALglQmO0SC/9IAiRAAiRAAkkhQGGWFKy8KAk4igCFmaOqK3WZpTBLHWveiQRIgARIgAQozGgDJEACFGa0gV0SoDDbJRb+kQRIgARIgASSQoDCLClYeVEScBQBCrMYquv555/HyJEj0aRJk5qfAw88EJMnT8YXX3wRw5Xs/1EvC7O///3vNfX70EMP2b+ymEMSIAES8ACBWbNmYdSoUTX9c3gsPu6447Bu3TrHE/CSMPv4448xadIkHHLIIRH1eeWVV2L+/PmOr0sWgATiJUBhtgdyy5cvN51Hs2bNjBtbdWW7q5+SkhJcc801WLNmzR6u6Ix/e1GYrV+/HjooZGZm1tTxP/7xD2dUGHNJAiRAAi4k8Pnnn2PChAmoqKio6Zd3HoOzs7Pxv//9z/Gld7swUw+Uzz77LAYMGIBAILDb+tT6PfLII/Hf//7X8XXKApBArAQozOogpk9tWrZsWdN55Obm4swzz8Srr76K9957z/zcddddqKqqqvnMoEGD8M0339RxVWf8y2vCTIN9dunSBT6fr6YudXCgMHOGvTKXJEAC7iOg/XLbtm1r+uXCwkIMGzYMc+bMqRmDdSz+wx/+AI0L5vTkdmF21FFHRTz4VPE1derUmrp85ZVXMHDgwBrR1qBBA8ybN8/p1cr8k0BMBCjM6sC1atUqdOvWDQUFBbj44ouhKyq7S8cee6wZPPQpkBsm814RZps3b4ZujwmL6/z8fJx66qk14swNdbk7m+XfSYAESMCuBHT3Sffu3U1fnJeXh6uuugpff/21XbObkHy5XZjddNNN0NXNnj174uWXX94ts9tvvx1ZWVmm7nv06OH6et8tCP7DkwQozPZQ7YsWLcLs2bOxdevWOj+5ePFiFBUVmY6kurq6zs864Z9eEWa1ty6WlZXhqaeewhNPPEFh5gQjZR5JgARcSUDH2169etX0w7fddtsex2A3gHC7MPv222/x9NNPRyW0zj33XFP/KuR0lxITCXiFAIVZAms63KnqFrj3338/gVdO/aW8IMyWLFkC3Rqj9aUro0uXLjWgp0+fXjMh4IpZ6m2PdyQBEvA2gYcffhh+v9/0wzpB90oKzyHeeOMNrxR5t+VUARcMBo0N3Hrrrbv9HP9BAm4jQGGWwBo9/vjjayb0//73vxN45dRfygvCTKlOnDgRl1xyCXTbajhRmIVJ8JUESIAEUktg+/btOOGEE8xYql4XP/3009RmII13ozD7Df6LL74I3cKqD051GysTCXiFAIVZAmu6T58+FGYJ5JmuS1GYpYs870sCJOB1Auq5T50+6IT8tNNOw08//eQZJBRmv1W1PtwOnzPTIwdMJOAVAhRmCarpDRs2oLy8vEaYqYvfeNN3332Hf/7znzj//PPNzyOPPBLVnux477er76k3LI3nNXfuXPz888+7+kjC/vbLL7/gwQcfrClvuNzRvo4dOzahgzeFWcKqlhciARIggZgIvPDCCzXjqLrJT1VSd/t//vOfzTh07bXX4u23307VrWvu8+STT5pxd+3atTV/S9Yv6j062jF2V59Tp1nJTLp9UcW5/tx7773JvBWvTQK2IkBhlqDq0ODTOTk5phNp165d3FfVbRzqQjbcIYVfBw8enHSBFHem6/lFFX4XXHDB78ocLvueXjt27Aj1rpioRGGWKJK8DgmQAAnERuCKK66oGQv0waAmHSO2bNmCjRs3mnA0KirUkYT+TR/s1Tep06fweaba440KpURcv775S8b39eFx7bLG+rs+EE1W0voOO39Rr9iMZ5Ys0ryuHQlQmCWoVk488UTTyemB5XvuuSfuqz7wwAO77SxnzpwZ93Xt/EUd+NTz5Y033hjXjz5N27ZtW8KKSGGWMJS8EAmQAAnERCDsIl+FwocffogVK1Zg+PDh6N27N0KhUM34qNsd+/bti0mTJtXrwZw+DD388MNrrltboLRv3x7r1q2LKf9O+bAK23jHXP3ea6+9lrSiTps2raY+1B7cHiYhaSB5YUcSoDBLQLXNmDEDlmWZjkQ7co2/Em8KH3quPTiEfz/55JNjvqwKFnU1PGbMmJT83HDDDTHn0W5foDCzW40wPyRAAl4hEB7v9HX+/PkoKSmpmaTX/l/4dx17O3ToYFbS4mGkZ9iKi4t3eY+GDRtiwYIFMV/2ueeeS8l4Gx7XVby6JS1btgzKPVy/Dz30kFuKxnKQQFQEKMyiwrT7D+lKjwYlDnciuuJVn3TggQfWXCt8zfBrv379Yr70jz/+WBM8OXydZL7qYV2nJwozp9cg808CJOBEAjpe1R6f9t9/f2h8yauvvhq1PR3rOexnn30WRx11lHGrr+LsrLPOimvbocZMq33P2r+rYHvnnXdiRqmefmtfJ9m/qwdDNyTdqnr00UfXPOiO52G0GziwDN4mQGFWj/rXLQ7Nmzev6YAvu+wy6LaI+qTjjjuu5no7d+a6XTLWRGEWKzGAwix2ZvwGCZAACdSXwFdffRUx/pWWluKjjz7a7biqW9wOOeQQ851AIAB14BFr0hWzcDzLncfceFfMKMxirQWY84L9+/eHz+cz9dm6dWtPhUqInRi/4VYCFGZx1qx6LWzatGnNIHLSSSdB3fzWN4Xjh+08QOigoweUY026lfHOO+/EzTffnJKf8ePHx5pF232ewsx2VcIMkQAJeIDAzsLslltu2eMq2DPPPFMzDp9++ukxU9KHqWFHEzuPu126dEE8HhLVGViqxly9j9Njvek5c32wHRZlKogZZDtmU+YXXEKAwiyOilSPULqnPdyJ65MddZefiKTeBXX5Pnzt8Osxxxyz26eGibhvOq+hHphGjx6NVq1axfVz7LHHmqdtiSoDhVmiSPI6JEACJBA9ge+//z5i7Ism7IyOveFxMjMzM/qb1fqkun6v7VgkfD09P+5Wr4wqOOMdc/V7Gk4nUenMM8+s4V9UVGTOFibq2rwOCTiNAIVZjDWmT6b23XffmoHg4IMPTrjHoE2bNmHy5Mlmr7Xut1YvjyoGk510dW358uVmZU5X5/RHn1rF88QwlrzSXX4stPhZEiABEnAvgezs7JrxNdpSVldX13wnXg9+OtZdeOGFZtzVuF3vvvtutLev1+fUcYd6OAyPufr6ySefQI8hJDPZwV2+zjlGjBhRU3fqGl89MuqcgIkEvEqAwiyGmtczZbW3POy3337GlW8Ml7DtRxcuXIiBAwdGnJnTp4a6916FqAa8TlZnqU8k1ROTDk7x/Lz33nsJzRtXzGxrpswYCZCAywmok6vwipU6g4gmJUKYRXOfRH5GHZhozLYWLVr87oyblkfHYxVoyUrq9CSe8Tb8nVWrVtU7a6NGjUJYiKv3zTlz5iR0LK93BnkBEkgDAQqzKKF/8cUXNaJMPUCp90SNA+KGpPvh9ZC1lkv3dqsnrJ49e5qfiooK83ftPNULlhcShZkXapllJAESsCMB3S0SFmYqAvaUNMh0+PO5ubl7+rgt/q/lUm+Tmm991Yef4TG3Xbt20O18+j8VKxrLzW1JReFf/vKXmnrLy8vDgw8+6Npto26rP5YnuQQozKLgq6Ls0EMPrelEOnfunNQnWVFkKaEfueuuu5CRkWG2FKhXq9pbKHQlrU+fPqbsjRo1SsmWyoQWLo6LUZjFAY1fIQESIIEEENA4oOG4Ynr2eE9nvF599dWasTkez8UJyHLMl3j77bfNStGll16Kt956C19++WXNNXQrpobhadasmXkoqqEC3JY0/pqKaBWf+lBY477V16O12xixPN4lQGG2h7pfv359xEpZt27dXLNSFi66CjE9W7a7pCuD4Sd4OmC4PVGYub2GWT4SIAG7EtAJetgB1l577VXn2KSfVXGjE3y/328m+HYt18752tOOm+uvv96Uq3fv3jt/1bHvdaVMRZnWl/7ombJHH33UseVhxkkgGQQozOqgunLlyhpRpp1I9+7dXbVSVkfRf/evHj16mI5UvVS5PVGYub2GWT4SIAE7E3j99ddrvPTpDpXdOeLQs8/h1bXDDz98j6trdi7zznl7+OGHzZirxybcknT7Yu2VMp1PcKXMLbXLciSKAIVZHSRPPfXUmic7uq1g6dKl0G0W0fyoJ0MNXOmW1LFjR8NCY8a4PVGYub2GWT4SIAG7E3jooYeg7u/1oag6odKVsfDYq1vsjzjiiJrxWc9p6fZAtyTdvqnbOLXsGg7GDUlFtJZHf/TohLrbD9dnNK+p8EztBs4sg/MJUJjVUYf6BC7ckcT6mpWVBX3q54aknqG0POXl5YjWS5aTy01h5uTaY95JgATcQkC3uakzjN2Nv4FAAEcddRTeeecdtxTZlGPevHnmjJkKGBWobkjjxo3bbT3urn5r/71///5uwMAykMAeCVCY1YHoyCOPRDAYjOsnPz/fFZHr9cmdxlJTj4033HBDHbTc8y8dCMP1PnXqVPcUjCUhARIgAQcSePzxx3HAAQfU9Mt6Numyyy4z7t4dWJyILGssL91doz/6EHTYsGFGwOiZuYsuuijis05+c8stt9TUX3h8jeVV5yFMJOAFAhRmXqjlepRRgz2GQiHjypdbCeoBkl8lARIgARIggVoENm3ahKZNm/5uJUnjperODSYSIAHvEaAw816dR11i9dSocc10O4G60WciARIgARIgARJIDIHdCTPdwpiTk4NLLrkE+hkmEiAB7xCgMPNOXUddUt2++J///MfEF2nSpAnmzJkT9Xf5QRIgARIgARIggdgJqIfC+fPnY8qUKWjTpo05QjB06NDYL8RvkAAJOJYAhZljqy55GV+8eDFUkOm5sn//+9+uckGcPGq8MgmQAAmQAAnUn4A+HP3oo4/MbhU9h6VjMhMJkIA3CFCYeaOeoyrlzz//jBdffBHqerh58+aYO3duVN/jh0iABEiABEiABBJL4KCDDjLibPz48Ym9MK9GAiRgWwIUZratmtRnTEVZo0aNTADIN954I/UZ4B1JgARIgARIgAQMgQ4dOlCY0RZIwGMEKMw8VuG7Kq7ua581a5Y5bKz72hcsWLCrj/FvJEACJEACJEAC9SSwfv166A6V3SX937PPPluzlXHp0qW7+yj/TgIk4DICFGYuq9B4ijN79mwTPLpZs2b0vhgPQH6HBEiABEiABKIkMHLkSPTu3RuTJk3Cm2++GfGtl19+GaNGjUJFRYURZgMHDoz4P9+QAAm4mwCFmbvrd4+l27hxo+n81SV+ND8q3lasWLHH6/IDJEACJEACJEACvydw6aWXGudadY25Gj+0U6dO+OCDD35/Af6FBEjAtQQozFxbtdEV7IsvvohKkIUHEAqz6LjyUyRAAiRAAiSwKwLLli3DfffdhxNOOMEcIQiPr/raqlUrDBs2DA8//DDWrVu3q6/zbyRAAi4mQGHm4spl0UiABEiABEiABEiABEiABJxBgMLMGfXEXJIACZAACZAACZAACZAACbiYAIWZiyuXRSMBEiABEiABEiABEiABEnAGAQozZ9QTc0kCJEACJEACJEACJEACJOBiAhRmLq5cFo0ESIAESIAESIAESIAESMAZBCjMnFFPzCUJkAAJkAAJkAAJkAAJkICLCVCYubhyWTQSIAESIAESIAESIAESIAFnEKAwc0Y9MZckQAIkQAIkQAIkQAIkQAIuJkBh5uLKZdFIgARIgARIgARIgARIgAScQYDCzBn1xFySAAmQAAmQAAmQAAmQAAm4mACFmYsrl0UjARIgARIgARIgARIgARJwBgEKM2fUE3NJAiRAAiRAAiRAAiRAAiTgYgIUZi6uXBaNBEiABEiABEiABEiABEjAGQT+PzOZcIIO3YjZAAAAAElFTkSuQmCC[/img]
Use pattern blocks to represent each multiplication equation. Remember that a hexagon represents 1 whole.
Use pattern blocks to represent each multiplication equation. Remember that a hexagon represents 1 whole.
Answer the questions. If you get stuck, consider using pattern blocks below.
How many [math]\frac{1}{2}[/math]s are in 4?
How many [math]\frac{2}{3}[/math]s are in 2?
How many [math]\frac{1}{6}[/math]s are in [math]1\frac{1}{2}[/math]?
IM 6.4.4 Practice: How Many Groups? (Part 1)
[size=150]Consider the problem: A shopper buys cat food in bags of 3 lbs. Her cat eats [math]\frac{3}{4}[/math] lb each week. How many weeks does one bag last?[/size][br][br]Draw a diagram below to represent the situation and label your diagram so it can be followed by others. Answer the question.
Write a multiplication or division equation to represent the situation.
Multiply your answer in the first question (the number of weeks) by [math]\frac{3}{4}[/math]. Did you get 3 as a result? If not, revise your previous work.
Use the diagram to answer the question: How many [math]\frac{1}{3}[/math]s are in [math]1\frac{2}{3}[/math]? The hexagon represents 1 whole. Explain your reasoning.
Which question can be represented by the equation [math]?\cdot\frac{1}{8}=3[/math]?
Write two division equations for each multiplication equation.
[math]15\cdot\frac{2}{5}=6[/math]
[math]6\cdot\frac{4}{3}=8[/math]
[math]16\cdot\frac{7}{8}=14[/math]
Noah and his friends are going to an amusement park. The total cost of admission for 8 students is $100, and all students share the cost equally. Noah brought $13 for his ticket. Did he bring enough money to get into the park? Explain your reasoning.
Write a division expression with a quotient that is...
greater than [math]\frac{8}{0.001}[/math]
less than [math]\frac{8}{0.001}[/math]
between than [math]\frac{8}{0.001}[/math] and [math]\frac{8}{\frac{1}{10}}[/math]
Find each unknown number.
12 is 150% of what number?
5 is 50% of what number?
10% of what number is 300?
10% of what number is 300?
20 is 80% of what number?