IM 7.8.8 Lesson: Keeping Track of All Possible Outcomes

How many different meals are possible if each meal includes one main course, one side dish, and one drink?
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[/img]
Consider the experiment: Flip a coin, and then roll a number cube.
Elena, Kiran, and Priya each use a different method for finding the sample space of this experiment.[br][list][*]Elena carefully writes a list of all the options: Heads 1, Heads 2, Heads 3, Heads 4, Heads 5, Heads 6, Tails 1, Tails 2, Tails 3, Tails 4, Tails 5, Tails 6.[/*][*]Kiran makes a table:[br][/*][/list][img]data:image/png;base64,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[/img][br][br][list][*]Priya draws a tree with branches in which each pathway represents a different outcome:[/*][/list][br][img]data:image/png;base64,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[/img][br][br]Compare the three methods. What is the same about each method? What is different? Be prepared to explain why each method produces all the different outcomes without repeating any.
Which method from the previous question do you prefer for this situation?[br][br]Pause here so your teacher can review your work.
Find the sample space for each of these experiments using any method. Make sure you list every possible outcome without repeating any.
Flip a dime, then flip a nickel, and then flip a penny. Record whether each lands heads or tails up.
Han’s closet has: a blue shirt, a gray shirt, a white shirt, blue pants, khaki pants, and black pants. He must select one shirt and one pair of pants to wear for the day.
Spin a color, and then spin a number.[br][br][img]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAasAAADICAYAAABWBs4tAAAgAElEQVR4AexdB3gUVdcOoYgFuyJ2sRfs9VeENIooICEVAohYUBEUQT97F6xUsaLYEAu9iUpNQkeagkBIIaEJhJZezv+8Z/bM3p3sJpvN7s4kmXme5E69c+/dmfvOOec954SQvThHoNy56u0aLqlwmeyQ0lFZeTl2lBFK9ZC234s7Oi6Sa7WyTLsQG3JAqpJtKWW/o9R243pHHYbj9qY9AlYdAXlnpEQ71fXK2p2Xl0e7d++mtLQ0WrduHa1cuZL+/PNP+v333yv9mz9/Pp+7du1avhZ15OfnV3YrPuZtu6qsqJ6fEFLP++/svmNCrzCvG3bgwVN3uVs3PpzlZYVUXphLZXmZVHJoC5Ue3EClB1ZSyX8pVLIPf6lUtHcJ5W1MpkOpi+jw0sV0eOkiOro8mQ7/tZKO/rOWCtPTqGhnNpUcOkTlJcV6u3F/uZ/aFpyg7S9zaa9+oQeAkrqc59lr9giYMwK+Pou4bteuXQwsM2bMoFGjRtHAgQOpW7dudPvtt9NVV11F559/Pp166qnUuHFjatCgAYWEhOgl1mVbjsm+0NBQatKkCZ1yyilcB+q64447KCYmhgYPHkxjxowh3HPVqlW0d+9eKiur+YegcRyM2+b8OsG/qw1WGHOe5ctcJBM8EDL5l5eX8i8jD4lWOs53nFRenEdlR7ZR8f4UKtk1nYq2fEKFm9+hgjVPUf7K/pS3rC/lJyfR0ZQ4OrKkO+UvjaG8lbFUsCqWClbGUd7SWDrwagfKjo2knYkRtDMhknISwyk9Noy2xkfS1qSOtP2BLpT+aBxlD+pDmS8NoF2j36D9P3xBB/+cQUfWrqKCnAwqLziqSEoiNTlemHLpqvTM+cBJH5177DV7BII/AvKOeXvn0tJS2rFjB82dO5c+/PBDeuCBB+imm26is88+mxo1asSgI0Cjlsceeyy1aNGCrr76arr++uspIiKC2rVrRx06dKD27dvrJdblLzw8nG644Qa64oor6KyzzmLQElBTS6w3bdqUzj33XLr55pvpwQcfpJEjR9K8efMoJydH/7h010dP/fe0310ddXVfvQcryB1OrIKKDj+1fA05AYkfFsccX1Z8mMoO/02Fu2dRUdrHVLDuWQ2MliZSfmos5a/AX5xWApRSu+t/+ckxDFZ5S7pT3pIYOrKoOx1dHEN5i7rTjuc7UHr3trQ1LoK2xoZRelwEbY+NpO2x4byeFh9BGXHhlB4fTtkJUZSTGEU7E6MoOyGStsWHU0af+yj9sXjKeWMo7f7uczq4aD7lpW+jEgBYRXxyPNNaX52Hpe919ZG3+2W1EfA0EbvbX1xcTFu2bKFJkybRU089RbfddhudfvrpBIlHBaPjjjuOLrnkEgahfv360euvv05fffUVA8bGjRspKyuLJZ8jR45QQUEBA4jcD6WsY6xkG1ISzj106BBfm5mZSagLIPTFF1/QSy+9RLgXgO/iiy92C2Zo6913301Dhw6lX375hbKzs3XpS+4ppfxO/pDOpK7aXNZ7sFJ/PONDwsfKyolKD1PZoTVUnP0TFW54hY4u7UtHk2Mof3mc9rc0hvJTAD7dCGCkARFAKJrXGYwEnJKxTwAr2nF+NB1Z2I1ynm9HW7q1pbTYtrQ9Loy2xYU5ynAGL4DWtrhwBq+tAC0Gs3AGsIzYSN7OiIugrMQIykmMpB0JEbQ9qSNlPpZAu0e+RfvnTKWCrf9Sad4RtdvaukN6lANO8JI9dmmPQOBHwN07mJuby7akl19+mVq3bk0nnXSSi8ruxBNPpBtvvJF69epFw4cPp1mzZhGA5PDhwy4NVutW13GScdvlQmXDeJ5xG6dC2gOgwSaGtqBNaNt1111HJ5xwgq5iBLiiL1FRUfTmm29SSkoKATzVReqXUj1W39ZtsJJZmQWKMgI2lZcVUXlBFpXkTKbCTa9R3vIHKC/FISmtiGMpCWAloIRSQArABDWf85gGWNq2BlTOYxqgMagt1CSrbd3bMCBBstoWF6GshxMkKwCWdsxZbsG+uHBKi4mgrQxy2nXYBrjhOkhfkMbSE9pR1oAk2jtqOB1aMIuK9+4mKnfawOrbC2D311ojIJPyvn376Mcff6Q+ffrQRRddRA0bNtQlJ9iLwsLC6JVXXqHp06czMIl05K/eSDtQn7rubtube6KOwsJC2r59O02ePJmef/55uvPOOwlAKxIh7GOXX345PfbYYzRt2jQCSNuLcwRssNLHooTKDm+h4qzvKG/9UDqakkB5UOEtj9VUeCkxrK4TaUkFHOe6CkwqYKnrHs5ZGE07XoiibdEAKU2CcpYa6Mg2wAdSF7Y1aStML7fGqueq52jnQoWYERtGWYlRlBkfQekPdqVd7wyhAzN+psKdGcRorY+JvWKPQPBGAFLFggUL6Mknn6TLLrtMV+3B9oRtTOJQ/0GFB+lFXQRQpFSPeVr3x7ne1uHuPPRh27Zt9MMPP7D6EKpDIXSghG1swIABtHDhQp116K4eT/2ra/vrPViVF+Sweq9g7VDKT42n/GWxTH4QSckJRA7bkiI1iXrP3bnqdXlL3AOUC/AtjKbsFzvoYGWUngSoAE6iDoQ0hf0aeLkCnOyT0nge9qMeqBJ3xEfyX1qfe2nXh6/SoSV/UEnuAc9mrrr2Ftj9MXUENm/eTO+//z5LGrA1QdIAQEFt9txzz/FkbVTpmdrgAN384MGDTKEHY1GVJDEet956K7377rtsr6uvgFXrwUq0eBVnVld2nzxf/EOXHqWS/xZS4ebXKX95L8pfHq+x81JcVXuugKNKRwFYZ8mqvQ5WAk7BKgFcaTFhGnD1aE87nuxJeyeMo6ObNzqp8tCRygJ1qcZG0Us5ZJf2CMizISNh3D569ChPzGDKnXnmmbpEAZVf//79ac6cObo0IXXUhxLSFkgjAKtnn32Wx+LCCy/UxwcEDdi/IG2JdGkc27o6TrUerOSH4WlUmUuxXzZR4q8sL5sKsn6ggjWPs2oPUpRIRyA9AJyqlpICAFSQ1kwGKw0UNTsZgAsqwiwQOJLuoZw3n6VDi36n0oMHXcaUx14GWX4Iu6x3I+DNZCnn/Pfff/Ttt99SZGQkHX/88SxFNWvWjKniYOup7Lh6N5BEtGTJEsJ4nHfeebRz504eAtDdv/76ayZiCB0f7EfY7SZOnEiQyGR8payLY1dnwAo/jjZvKtRr3lFGZYf+paKtYyh/ZR9W8zGVXAcmYeRpQOWimlNUfgGXskwGKwAU1IpcMrkjnJmI8PMCqzCjZzvaMeQh2jd1okbK0N8GZbwd+7QXpuJ+/RJ7pU6OgEyUxhKdxYQ7btw4lhqOOeYYBik45oJ+vnTpUqaE18lBqWanQH/H+MBfzBgdAxT2FStWsE0PfmRCzAATEtR5gFZdXmo/WDF9r9Tli78cflJlpVRyeBMV/Psu5S1LcAGpo8lO6cgJTtFMNa+PkhUACpIV7FdGtSMDmINhyLatHu0pY0Ai7Z00niNqODSB2jvi+DjgDVviqsvzhtd9gyT18ccfU6tWrThaBCbYK6+8kt566y0mF5SUlOhSgVTqDuzkWF0spb8IAwWHZqgAf/rpJ13N567P6enp9PbbbzPxROxbAlqgzasL6pd7qPtr23qtByt9TiwvRdQ9otISlqQKNw+n/BQNpABArnRyASvxi3LaqpzgJecEqTRZsgJIbXFIVFiHMzL7eTkkLqwDuNJjw3VCRtYTCbTvp/FUsCubHal1B2t5C/QfR3bYZX0YAUyMYPZNmDCBwxuJJIWJeOzYsazegpRQ2QRa2bG6OoaLFy9mFSAiX4DxqI6Buq72Xz4GEFlDHKMBWt9//73u7KyeX5vXaz1Y6YMPsDqcTkWb36O81ATNWTc5mo44bFFQ4x3hbVe7lGngZFQxmgZWoL0DmIRZqIEU/LUATk42oSZ1advaNRlQDya2p8wBSbT/12+pOHcf6WGbbKDSH836tAIQQmw8RHFASCNIUghn9PnnnxMmVuOCSVj9w3GZmKU0XlNXt+F7BWB/+OGHK6gAq+ozpKkvv/yS4x4KaLVp04bDUCHqR11Yaj9YlZVTefF+KkofT/kr+nCMvXyOEiESkTvauLbPVeXn7jypIwilaWAlgKT5ZCF6htiuRLLSgEwjX2CfABjUh1jPjAun7KQOlP3sQ3Rw4Vwqyy/Q3g0bsOrCHOF1H9asWUO9e/fmqAwAKfhGffDBBxxUVgCpqsrqG0DJeIAdCYkIQIMwTFCP+rLggwBuALAHwlcLKsKePXvSpk2bKlUr+nKvYF9T68GqZM88ZvflL4vjuHxChHAFIg1snPs8AZO6X12v22AFMALoCAiJlIVS8/dSnYuddi3xBRNQY9DqfS/tHv4CHd34F5WX2iSLYL/QZtwP0SYQUkgmyDPOOIOeeeYZ9gkSerUZ7apN9wQVHdEsoAJEYF5fFwF7hJtCpHmJkIF6hw0bRgDF2rqYDlYyuK4DWNUkV0Zlh7dyKCQAkPwJUNXK0kTJSgUnX9Yhicl1kLYy48Mps1832vvNOCr5b4/LTyu/twhdUjqDBztOxwHnQZc67I3AjoD8Rt7cBXmgoPJDlHGk2+jSpQstWrSIQwtVpx5v7lXbz6lsPOD8jNQjkExBtPDXAvZg586d9Qj0CKKr+mj56z7BqMd8sFLmJM9zkxO8ykoOUnH2j5S/opcWbcIBVrUSoFS7VW0GK0ccQ6ekheC6EZTVsz3tGPoIHU5drIVxqvADa78r765wLBiPv30PX0dgz549HJuvefPmbJcC2w9+UgcOHPC1ynp7HcgoQpCYMmWKzypATwOImIT4bS699FJWDULaevHFFwkScW1aTAcrHixlotJWHeCk7EewVU7LsWGIC0g5VXtBUNWp4OLv9VoKVqrqENR3ABb7akG1GBPGEeFzHu5Ke7/4iIr37nKkX3F+fMjLwj+1/N5cVjxHzrVL/41AZV/7nu4CaQq5nUAGQBTxJ554gv79999abxPx1N9A70c8RIwjUpog+7Avv0lVbUSdUA3CfwsSHGyKiGCPSO+1RVVrDbByjLQ2V7mZpEoLqWjHJMpf1pPylyPqhEY5d09Hr6WgVcvBigEqVuxeGmBhH9SDSF+yo0d7yn7uETq4IsURLNfwOwtQqSGdqnoD7eNBHQE4nSI+HewfmOxACIA/EJhogZhgg9q5IN3M3ThBBQjgf/TRR4PiHI1o9giSCwIGpKwRI0a4va+7tgZpmNzexlJghRZqA+SI61dWTmX5mRzDD1EnjiKJoUJFr/WqP1U6q6VgJbYqobmL/WqLg7ShAZaWl4tDOD10P/038QsqPWJwXNR/e7fPqb3T5BGA5ARWGUIB4cu8b9++LE3ZiQG9+2Ewr7mb/KECBOgDOGbOnOl3FaC0Tu4tZUZGBv+esDPi3nFxcYR9ntop9ZhZWgasZBB1Q3tZMZXsS6GCVf1Z7YeoE5wrykFLrzPqPwGsWgpWAk6iDtTLGFDcnf5byH6MY9iX0/se2jn8Rcrfvs312RfpSkrXo/ZWEEfA+T4SJxBE1G/QoMH4g2Ov0Talnh/EZtb6W82fP59VgJB0JBZgoDolv5FaIrqI2B2vvfZaS5MvTAcrGTj1ByovKaTCjG8of2kCR0MXx10t6Kwz2oQtWTlZeCLhBLsUcMJ9xWal5tQSVaDaLkTByEpsRzuf7ksHUxY47FjqE2CvW2EEkNAQflIShw52KjDJYLC3F/+MACj+kFQRad6scQVj8I477mAJC5mL8TFiRUdi08HK5SeHg2/RPir6d5hOohBAEsDSckNpPlDOiOm11E4lUhXKWipZqfEEVTagE8ScflkqYAHEMuLCKfPhbhz9orygwKaqu7wM5m7AufTpp5+mU089lWnPsKcgHp27j0tzW1p7744cXVABQmKdNWuWC9HB3+NcVX27du1i2ryoBRFgGCpKKy3BASsl95Haedb2OFQ+5WUlVHpkC+Wve5pJFHWKPKGCkqf1WgpWKgD5sg6w2/FAF9r96QdUemC/+nhUBC95Vlyi57peYm/VfARgn+revTun8ED+JJAqahvNueajEPgahAWIwL5QAQqgSBn4FrjeAdLUO++8o4fJio6OdmmX69nB3woOWLn0y8kC03+UsnIqzV1N+Sv6Odh+WgT0egVY9RSsAHAArOw+91DOsBeoMCudnxav8Mi2bbm8WdXd0N8/5cLly5dT27ZtWTUFKjXyJdXmqAdK1yy3CskVKsDHH3/cLRvPrAaD4QnVL4gX//d//0cbN24kKxBpggJW8lJw6g75BeQruayQSvb8rtHSl8XqCRABVDZYmW+T8kVaqs41ojqEWnBHj3aU/fwTVPDvBrd2LCc2uc8CLY+WXVZ/BPCOzps3T09RgWy1iERRVFTElck7XP2a7SvUEZBxhKR69dVXs4pVVIByTD3fjHW0A/5X11xzDccqRDuRc8xswAoKWBnD5sikU1ZaSCU7p9HR1BjO3KuBUzfOK1Wn7FGeVH/q/noqWQGkNEZhBKXHh1FGfBTtGNyXDq1drqkBYcdUopzobFGXfWa80rXvnpVNhoiccNVVV/HXdMeOHemvv/7iyamya2rfCFinxXPmzGE1K8bcCipAdyOD4LeI3A6b2oUXXsgfL+JAbMZzERyw0kdCUQGWFVFx1neUtzTOkUpeI01ocf6CHERWBQ2z1uspWIlkpeXLAmCFU2ZCFO0c2IcOpIIpqKCSfOXoz5O94usIqJPNDz/8QC1btmRHX/jbwGZlL/4dAXW8UTPYf1ABIvoHWJdY5Bwp/dsC32rLzs6mTp06cdxHUNynTp2qE0HUdmJd3fbtbpVfFRSwcukEfyaXUmHmVyxN5ae4JkZ0sv7qAMOvOsBXT8FKJCsNtML0cE1gE2Y9nki5S+bzE8yJNSt/lu2jPowAkvQJUCUlJTHjz4dq7EuqMQL79+9nKRbMO6MK0GWurEadgTwVkUtAtmjUqBGddtppDFjuqO2BbntQwEoGkhPzlZdSYcbXGlAla0QKoafX67KegpXYt0Cy0OjuznQk2Jf5RCIdWfKnPEJ26ccRMAIVIhjYS+BHAAB1/PHHc8gjUMZlkpcy8C2o/A7u2gHAAkMUKkEA1rRp0zjahrtzK6/d96PBBauyIirIGO8Aqjrq3FsdaUo9t56DlYAWSkhbUjLxYkAiHVz8uyOmoO8Pu32lcwRUoEJwUxuonGMT6DWoACGlIN+UqADlnsGc/OWe3pYArISEBG77KaecQrNnzw6qXbPGYOViRlA2MOjKJpXDRpUpEpUGVPVW5aeClKzbYKXnxDICF1PbB/RklaD6THl6yfiF9+ZETxXUof3uJj982cOwj2C09Rmo3I1NoH/63Nxcuvzyy9lehd8BDDsz2uFrP1XAOuecc1zCMwW6HzUGK0+d1huOSaO8mEpyfqX8VI1MYYOUG3ucDVZuwUokrIyECMp++iHK+2uZ/nJreOQk7bh8HXl6MOvxfryToKNfd911TElGMNq6KlHJ/INIHH///TetXbuWtm7dSvn5+aY+AWABHnfccQRHYOQEk3aa2qhq3BztRZR9qAQhHV500UVBY44GAKwweagTSDEV755D+cviCWSKem2XEinKXWmDlVuwkkC5UAdCwtox5BH2w9JecuU5q8YLV19PXbVqFTt5wu7QtWvXOsn6k8kf1Huo2y6++GK2s0CKBPsO4Y3Gjx/PoCXnBvN5gCMwiBWDBg2qVSpA4xjB1hYVFcVji4+fLVu2GE/x+7YfwcoAUg7AKt2/lPKW9qCjKdGU7yBU1LmI6e7Ap7r7bLByC1ZOlWAYg1V6j3a085VBVLADkS4MKhSW4v3+jtSJCrdt20bwn0LeJEwy69ev5696MybsQA2o9OXzzz8nhImSCAyDBw+mN998kxITEznFCcB6+PDhHJlDrglUm9R6oUK76aabGKxg7xGfJZyDdgSzLWq7qrOuthGxIhGNPzQ0lCIiIgIe6cR/YIX4f9xrB8m4nKj0SDoVrOrLhArkoYL6TwUqdb3eS1w2WFUBVuE6rT2rVwfa9d6LVJy7Vx46J/lCewir8/7V2XNlYkE6j969e3MqCkyWS5YscZkojQMg1xn315btyZMn07333kvTp0/XI5lL9AU4P7do0YLOOussHbCD1S9ECDnzzDOZBYiMwLV1UZ8PfPQgLBc+DBA2SsY5EH3zE1g5pSqZK8oLcyl/rRaUVgMiV0dfRKiod1EqKpO2bLDyCFZpMVrkduTCglqQ1YF9O3Pw2zLVBqFkGVZfqEC8OLWlToRLQiZaRE9HFIIZM2boIZQ89aG2jp3abnd+QNJf2FsgYYIRaWTjyTn+KtU2Pfvss/zBgIjmuK96zF/3C2Y9aD/+fvvtN5ZkoWp9//33A9YEP4GVa/vA/CvY9DYVrHQCEqQoIzjZRAuFaGGDlUewElXg1jjNBwvbGbBfPdyd9k/+gai8VHnxFTuWfDm5Pp71auvTTz/lhInIU/Tll19aLu2Dv38MTwCg7oe9CH5OGJu8vDyXJqjnuRyo4QZYgJBqYTcDyUJVAdawaktcDtUrpKtjjz2W5s6dG5A2BQSsitO/1rP71nv1XmXSlHrMBqsqwWpbXARLVtvjwggJHMUH69Ci37X4gV6Fag/Ie2TJSqF2QhBSTCCw2YAZZy9E999/P0tWCB0UrISHmMBFBVhXfgcjsA8YMIDdIUBpD0TIrmqDlbGBxoe/5L8UyluW4GKbsgFLkaBUgFLXbbDyAqwqRqHfHh9JOf97lPK3bFZYqIp0ZXxA6/i2vJ+gacPoDXrx9ddfz/Ti6nRd6qnONWae6217QWMH3Rq+TiCd+GPx5t4geZxwwgluWYD+aIMV6oCUivQyUAei9JRaxpvxctefaoKV6yTgomUBwaIgm/JXaIQKW8XnBUDZYOUTQIlaEGVaTBhlJLWnne+9TCW5ue6e8Xq3D5PEww8/TCeeeCJPHJg8WrduTUj2Jyk/6uqguJsIZR9KZDyGn9Pbb7/tcTL1dWzkPsbrEQsQlHnYySQWoPGcurINCvt5553Hz93QoUPddsvTOLk9WdlZLbCqcBMFrcpLCqlgwwuUtzyO8pZ0s/2pVCDyZt2WrHwGrsy4CMp66H767/tPmR0oz6nyeCqPfN1fHTNmDEEVgz+oZoQuDYLFZ599RrCf1JVFfmtv+gObHcIEtW/fnrKysry5xC/nwEYFKj1UspmZmX6p00qVGH8DsDEh0QOcwcjEYjzHl/ZXC6wq3gB+LlpDirK+p/wVACpIFDG2GtAbgFLPscHKZ7ACO5DtV0/2ooPJC5yBLOoRWslkgCR5UPvB8XTYsGGEr/p//vmHfYyghoL96sknn6yTk2bF+cm55+eff2abESJHrF69OqgEB7D/QOjAuONDQX4rZ+vq3hqcnyHRX3rppYQ0I+ria/+9BivcgG+CCcAwCZQd/ofylyZS3pJoOsL+VLZkVW07nQ1WPoEVQArqQJQZ8ZG085WBVJizQ3036s06ss/GxsYyIKFUbTIIkQPVF/yLMInAMRjAVlJSUusnT3eTnz5fEbHq7dxzz6XLLruMFi9ezH3GQ+Huupo8LGp9so7fBJItpAy4DQSL0FGTflT3WumrXIdtPG9wGAZDED5+xnPk3OqUXoGVy40MQEWlhXR0zSDKT41V0tDbYZVssKpIhlBtTf5c1zMNx0VQ9gP30Z7PPqKy4oIKH1XVeTFq07nyfr733nvs8AryAGIACj1ajqOEigbhcRDFAV+9EyZMqNN0dgAEnIDR1+TkZB2ogvX7IlIFVIAY87qqApTnyzim+BiCNI8IF5MmTTIerva2V2CFWj01CLmp8pfF2jYqVaXny7otWfkkWSFpoyZdOfNg5TyRSIeT//T4zFb7LakFF4j6D348Y8eOJYT28bQg6kC3bt14IsFkAmdVpFavawvsJWeffTYDFaJ2QIrE4mkuC0T/kQYEKkD4dkHaqG8LpHlI8mBgGtWB1R0Lr8CKhSn+58oGLDu0idV/iPlnlCSO+DJh1+drbLDyCayYERivRbjQ1IGRBDo7qwN351T3faiV5x85coR69uzJk2J8fDylpaV57IdM1LBlvfDCC3TGGWfwZNK5c2dCoFuZ0D1WUEsOQKICUEH1l5qaWqFfMg6B7A5UgLfccoueDqSuMzHdjSWezdtuu42fsUceecTdKV7v8wqsYKPSflxn4FCOUrFuKOUvdU37YZ14f65xCAGm0jZL0uotBVbOSBES9VzL4uuq2hP1G45VPA4AcYKIP9V+xrogWan3x/aOfl1o7zfjqLzU9QPL5c0wqrRdDlpvw9ME+8UXX3CUCny9gp4u6j9vevDjjz9ybiuoapDjCtuYYNwtnu7v7lwz9qF9+IOzr9ioIFEBJNz9VRaSyR/tB00djsA33HCDiwrQCuMYzDbgNwCxR6j7xrH1ti1Vg5XyQquVluycTvlLK7L+BBCMklagtiHBCfgcTQEgQcrTgMrYFjmX96d2p/yUavpCBVLyswBYCTBtjY2gtO7htK17a9rWvQ1tj27DJdbTut9Neqy+mDA9Vt/22Eid6CBgoqnnXAFOjvm/dAIs7ou/7EF96Mhfy43vhrJdCZApZ1l5FTmR2rRpw+y/t956i/A1X91l5cqVdM8991DTpk0JYZleeeUVzrVU3XqscD7G45prrmE7CQALX/Uw9EPCkb+bb76Z18PCwlgKVec1f/UBdT7xxBMs7YIZV5la1l/39FRPIPrn6V6e9kMNCnUg/M0kp1h121U1WKnkPwdwlRfto/zlDzqiqZs/4QOs0qbfS/9M6kh75nVhP68jDtUk2ImqVAWgyp7Zmf7+sSNlzb6vgvrSCHCBAtkK9VoArDQAiWA1WtoDXSj90TjK7B9L6f1jaXv/BMp4tDulP9CVJaat0XdTWve2LNFsiQ3TJRsBPP+DkSfQ02jrsF3JvUFlx/0zk9pTzvuvUMkRd7aC2glU6guOCNc//PADG/DDw2q+ygwAACAASURBVMNpw4YNnuaKKvcjCviQIUM44C2krOjoaI5KXh0prcqbBOEE2N7AdISUCT8zsB89/YGIsmnTJr/ZsNTfJicnh0kVkCZAshApTs6RMghDYvot0Ffkv4KfHwALfoC+LF6BlVRcRqUc0qZw6yc6qUKkGpl8zZjsDy/uTqOfvYFOOqERxUWdQ9jOT3YlfRxerNnVsmd3pjY3nkHNT29Msz5szSxGM9os46WXJoKVTPKY4LfEtKW0Pp1p3/QfqfToESrLP0pl+UVUXphHZfkFVLR3Jx1es4IZd+kPdiUGrXhNqhKAUuuTfYErNWAy3hOSFUBrZ/94OvjHLEcoJkf6Gnmga3m5efNm6tGjB+domjhxYoWgrNXtHlRlSEwoKR/grwWSAiJiyOQqZXXrDtb5AHCkRIGE6ekPsflwDHY7d2Dsjz7+8ssvdNppp7EkARagP+r0dQzVe6vrvtbn63VfffUVgxVsiUayhbRLSnf38AqsdE0gclQdTqO8ZYmkqdxiKmT/NYKXPhkHSIUmQJM+/V665pJmdPyxjWnye3fS0WUxdGSRq9R3KDmGRg+9gUIbhtA9d55FBxd309sv7Zb6At3uCvWbCFYCJLD7pHcPp/QH76fcOZOZ/l2YnkZH1y2jw+v/ovy/11BhdgZRaQmVlRbTkXUrKGtQH9ra/S4P9qng2Kyk/WqJCO0IdpueEEnZrw6iskMH2YFdewlqn1RlfIkBLGD9QXpISkqi7du3u3u/fdoHijfiCkIqAO0aiQp9US/6dPMaXmQcJ6nO0345rpbVORfXGc8HYCLcFcI6PfPMMxUihhjPV+8djHWz7o9n9u6772bAAgPVuFTVLq/ASq+0vJQKNg2jvKWa1CITfIWJN0DAVNl9AETjX76VQhuEUMStzenAfM0xWQALIJQ2tRNdeXEzOvm4BjRvXFuWDk0DJ+MYmQxWACq2MUG116cz5c6ZQsU52ZTz+mDa0uk22tb1LtoC1V/SPZT9xlDK37COyvKO0P7Zv9A2XBvTllVvUMepoBG89Yr3RVvS4yJpx8PRdHT5Ev0xrgsriMJw33330cknn8wpJzARYKnqha+s73Ityh07dnCoJuTBgk8WABGSXCCT61XWNn8ek35WVae35xnrgQrw2muvZRsgVIDieO1rfcb6fdlG5AwQcfBnJoX+zz//5OcJtlE1Mrs3Y1MtsCrNXUf5y+KZmCAgUBmABOeYkzafPbcL3XndGXTsMaH0zWu3Ut5yJ6geTI6mt/pfS40bhVDfzheyvS0/RcteHJx2ukp5Fe5pMlgBVFiVBrB6oAsdmD2ZinZlUc7bz1FatzYaAIEijuMxYZT91rNsC8rf8g+lPxZPW0HCQB2mgZUzk7AGkJpUx2SL+Cja+8VHVLK/bqTIQBSEd999l9VMIEZgcpTFm5dezq2qBACOHj2aLrjgAv4avv322wlpRwKdsLCqdrk77s9+S/2+1onQTpBIQSbIyMiQ6kwrEW6rXbt2DBJQwSGyia99q2knoHZFFmfYrvr161et6rwHq3Kigo2v6LaqCpOtQ1IwU1I5nNydJr1zBzVqGEK3X3Mq7fqti4Md2J3+ntSBzmt+HJ11ahNa+U0kgxXIF2a212UMLQBW25Dc0C1Y3a2TFwAEAKusIf2oMCuTCrZvpcyn+mhsQUcWXydYVJR2tGOeyBK+7WeJME671mm7ckiKSNSINCJPPUAHF/9OpGQTrtabYqGTly9fTh07dmQfKWRmDbRvFL6G77rrLmYcIhrEqFGj2N5joSGpUVNqOnGr16sqQBBWzGQBYlCmTJnCNH6oJJs1a8YuDlAZq22u0eBV42K5J55fqJjRJmgIvF0UsHLo8cVApbzU5VRGJblrKC813jqTu1GN5tje8/v91OHO5tT0mFD6+NkbGVxzF0fTkF5XUJPGDWhA7MWU75C4XMDCQ31BO8cCYMW+SgpYFe7MpJy3h9K2+1vrqj2cA+lpx3MPs+R1dNsWyhzUW6O4O+jrgQAkX+tEW0W62jVuOBXv3e3tu2HJ8yDVIKwSjPf4QgXtPBgLvsb79OnDaUcQJQOpNryZ9GSCCkYbrXAPsN5AnYdfEaKti3oWbQvmWOA5gdM3QAGhpiDtQTUJKRlO48Fsi7vfJS4ujqUrPFPeLgpYOS+RjghuEZVRwcaXKX95nO7TFLRJvAoQOZosvlUoY+hQSnf6bXQbOq5pI7r2khNp59zOtPK7KDrzpIZ0QYvjaMvkTixVHV1ssfiFFgArllDABlTUgDvfeo7tVaL+Y9+ruEja+fEwKss7SoeWL6atSR3ZZsVg55BwfAUXf18nasksxA0c2Jtyl8x32l2cD7jz4bf4mipVffjhhy6TYSCbjjkByfVwT6iSEKD0zjvvpPnz59fJ4Ky+juVPP/3EHxIIXmuMBSjzqq91V+c6MDihIob6D4k4Dx8+TK1atWLJygpghWgp8OtDzjWoKb0ZmxBITZUvZVR6ULNVAaBEbSalNUBLs1tphI8Y2r+wG/XsdAE1OSaU3u5/DT0RczEd0ySU3uh/NQMu2myDlQeVmyJZFe/KoZz3X6btiVFMrEjrcy9lPpZAOz/9gEr+20NFOZmU/dYQpq8DZAQYjOv+BiBf6oPqEv1AkNvS/fv5kUd6m9q0wFdn5MiRHBUB4ZGqo0LxZz8hMcCxFjmLkGjvk08+4cnQmwnHn+2wWl2qChBsN7NVgKDmS7ZesDlVsDKbKINnpXv37ixdPf744179lCGQmnhRXlxllQ+BASjBajHJWwuoNOKCMBNRQtpK/iKCTj2xEZ14YmNqdmwjanXZiZQzq7NGrEi2mFQF6dF0ycpBM1fACgk1QUoAKBVl7yCAF1PAi0ro6IZVlP3Gc5QW21b7c4nP5wEITZC6xIYFqZGlq6EP0+GVKbUyIjtSssfExLDjLujkUPUYAcK47dUs4MVJxnrB5EI8QthBJFcTEhqq58m6lF7cplafAhUgQlbBFgNAx8eFFfqONgC4oJ48//zzTVcDyphAKocDOkJSpaenVzlWTrBi0KooZZUe3U75KQnsVyVSlBWD1DoBVAOi/Yu70eOxl1CDkBCWqj57/ibKWxlrSaDlcTUdrAAwrgSL8qIiKsjKpPxNGwmsv6Ks7VReXEz5m9dTxoBE2tb1Do5cIXYsTeIxz7fKk8QFwMLfdvhe9exAeyaMY4dn40eZlWdKvOBff/01tWzZkn2g4Atl5oL2QLX05ptvcoQITDpQOS1btkyP1mBm+4J9b4wHoonAlggVoLtMxDJJB7ttuB8coa0CVtJ/EIPgzwdmIEKFVbW4sVk5AQuDW5z+uS5VYVJFJAjLqdB0uxbapklWkK6WfhlJJ50YSldd0oylKnfR4QWATS8tAVaIB9iWtjtsVkyweGMobb3vdiZZpD8Szak3Sg/soz3jRzGlHXEEAQTu7FUqS88TkARjPwMVkz8iKDMhkna+NJCOrA8OMaGqF9Db45j8HnroIf5qh+EcvjJmTn7SbrQBjDMY76EWRPQLgCqATBYrtFPaEqgSfQQVG8QKqADV/gfqnmq9VY2xqAGhtrWCzUrajsDJACtEx69KbeoGrKQaorLig3oMQFGzYVK3omSF9kG6UoF03cQOdPbpx9BNl59Mu+aAxu5U/6n9MR2oLKEG1CSPbQaCBftZ3d+a6epwsN319v+oJPcAFYIF+MyDlB7dxpFPyqn6AzgEA4S8uYfY0Vj6k4zCD3ah/6b8wFKi82m39hrCHsFvB8FYZ86cWWljq5q4Kr3Yy4PGe6xdu5buv/9+zpEF1WBdzZHlaXjg6wYVoLAAJRag8XzjuBmP+7ot9UpprAdgBclK2IDG42ZtA6CuvPJKJuyAnFLZooGVB31I8e45HFkdk/nRxRVT1avAYNaErwKQ2gZIUX99345anNaErncDVhKBXb3G1HULSVYqGxBgpVPXHfas/dN/orL8PDowdwpti4tkm5ULcLD9yhlY1uVYkIEM0p0TPDUaO2IG7nr/ZSrI9F+IospespoeQ8qOl19+me1DkK6McdU81e9p4vJ0fk32417ucmSBWh9oP7CatNsf16Lv3333HasA8UGhOmn7o35/1CFgJZIVCBbBfD4q6wNUyZCuOnXq5GTqurnAg2RVxs6TBRue53xVMol7AgY5brXyr++jGKxuvOxk2jm7s4tkZbW2mk+wcDjwKgSL4t07OIIFwErUfJj8dzz7KBVmpbOf1c53XqAt0YgNqElTEvFctq1YZsSFU/bAJHYStjojEBPKihUr+EWGcfzzzz+3zCTjZj7hyQZBdSFlSI4spDQXVpq7a4z7rDKJVqddDzzwAEtVoqI1Xmv2toCVSFZWGmOE8QKFHcQUkIg8tS0EiRVdF81mVXpkM+UtidMDvVpuclfsVNI2VbUHqU+TrBqzZKWClXqeXGt6aZpkJVEmtBJhk1iymvOrHm4JYKXbn2La0vakjrTni9FUVlhIR1anEqKvQ30IYNoa5y4RozXUgiJhoS/bE9rR3q9GU5meaty8L01PLyfeS4Sn+eyzz5giji9PAJfVF/RHYhdiAkL8whdffJHTRFi97b60D5IuVFlgRS5cuFCXJCv7XX25T02uAVhdffXVrAY0M9ySpz5AhQzp6qWXXvJ0CimSFdIn4IXVElgVbf/ShVhh+mSug5PnGHtGye+vb6LotJMaU6tLTqJdc7pyUkbL9sMksNJASMtHhfV/Y9tSet+urOIrgJ/VsBdo2/1365ITAAk+S5lP9uDEhqUHD9B/332mqQIZsAT8rMcKTI93gmZmfATtenUQ5W1a5/HlqPgh5/nUQBzBZAeVEvxQMBFa9avd06SMRIgIOQSGHCYi5MjCl7PZPj7+/q0QHQJ9REgq5NOy4qJS172JPBLsPmAM4WgOXzBPsScVsHI2r6y0gPL/esyFrm7VSV6kJA2onM7B2N4wqQO1vuEMur/tObSb4wSCYOEMfGupPpkEVqKmE9DaHhPGUdf/m/g5HV6zjLJefpLSop3hllh6Qibh+CgOxVSwbRMdTF5AGY8ncMglCW8k9ZpdIjEkU/I5IaPEC9TAOeORaI4uX16qfahROfK1WWuBLwrSKsA4XpUB2kotFwCDvWrChAnM9sJkhBxZ06ZNc8m9JedK+43bst+qpbAAYXsJNgvQ2zGxInVdbTvAFPY0PCN45t0tBrDSVIAcB5CDvGpRy40Si6UmeReJy8n209pYMaq6MBkt1ycTwUoYc9viQEMPIwAW1gWYQKIQ0EmLj2R/JY4IwedpKeTFpiWqNjnf/FKT9OBjpbVFK9NjIikzoQPt/vQ9Ks3VIlq4e0GCtc/dBA1GGbKqItNtbGys12FpgtXm6twnNTWVIiMjOVbdGWecwTmyMIG6W9yNhbvzrLAPqVREBbho0SJdBWiFtqltEJuVFZyC1XZhXX5vkIcggQ8cONB4Cm87wUqxXRVuGU35K2ItFwfQE0gKKxFSlgpCWNe2ReLSJCsBLE/1mbLfRLBSAQUSFuxOmqQlajOZ6CWkkrbtBCZsW4P9p/YF6842oi+uqsmMBKgCn+bcXLrKT3kP3L4xQdqJFxgTIV5g2Hxef/11naQgL3eQmlLj20h7YdsZMGAAnXLKKeyThRxZSCtfm9WCEgsQ0i8iWMgifZZts0t8GCCgbfPmzU1NEVLZOPz2228sWaGdiENpHMMQeTe1soygAixY9RiHJTJl0naRlDzbp9y1TUDL3THZJ0Alpew3vbQIWMlkD2nLKXEJaGklpC+cpwKae8nKCXJSr7mla3vAXMx6pDvn7tJTh5RrkZiML0plL1mgjsFYHxYWxg63v/76K9/GCu2qSX+Ri+vjjz+mCy+8kCem2267jebOnevRTlGTe/nzWnfjjn0PPvggs9gQgUFUgO7O9WdbfKkrPz+fkFYeY49EjFis1s4DBw6wKhDSFSRx46KHW5KGlx7cSPnJFg5LZAAzAJT2Z1FblKG9HkHRVLBC2g+NzWcEISO4CCgZz1OBS103Xm+FbekDSgS3RWLG4tx9unBlfEnM2AYL8NNPP+W09Qj4uWHDBjOaEbB7IkcWpBGksEAUdwTohaqqNi2IKiIqwCVLllhWBVibxvSRRx5hVeArr7xSodmaGtAhXqEoyproUAEa7T/Vk3I8TsreTt717TxTwcpVcrICoASrDQhuu/utoVSw+W/t5XBIVhXelADtkI9EY/VQ2zz99NPsfwIWYFWhaIzXW3Hb2FcEL4VkghTnDRs25HBFYKphMZ5rlf6o7YL/mNVZgFYZN2/bAVYgJKtbb72V3TbU6wx+VmVUuP45Tltvg02QwdkGK53EESygwn3gIJw1oAcdWvSn9l6IXlx9S4K4LpOh+Ckh1t63335bYfKW84LYNL/cythuqKc++OADliAxSbVp04ZAVIC60LgYrzUeD9Y22oE/2NwgGSK6CKKM2EvNRgBjCrsmHIQRtgrOwuriJFjga6ZwJ+Wl9HAkJ6zlarXaJpnZYGUKWMFuld7rHto7cTyVF+RTGYG+7gzmrL4sgV5XJ2N8YSIKRFRUFJkdYT3Q/Ub9MK7DfqXmyPLkb4Pz1bEKRvuM90BCQxAB4P/mTgVodvuM7a0t2yDbdOzYkaWrb775xqXZumSFD8rSfUs4FqD4LtnSVRClKxusTAErSFewse3+6E2O2MGGqzJzxStM0khdD4o3fHjACjQutXEyrKrNiKwgObIQ+QJRL2B0x1LVtcbxCeQ22jJ+/HhmNUISlFiAVmpjIPsf6LrfeecdJt9ARawuumSFgS7a+qlmr0oO4iRd2ySgQLXXBiuTwCqMEM1i54sD6Oi61U6pykS8QhSE/v3782SIFxc03rq4qJO7rMM2Jzmy4CCKMDxq2nM5z8zxwNd/fHw8p2V/7bXXdBYg2mSF9pk5Nv649+LFi1myAnlFDYKsgxW+KAvWDaa8lIqOtLaEFQTwtsHKJLDS7FY7nuhBB+fPNksD6PKOI/7fPffcw2pA5PvBUlcnQU/9Qo4sBF0FYEEdirQo7uxYLgMXhA20FyrAyy+/nNOhiAoQ+z31JQjNqlO3ACv09NNPZ7uVyoJ1qgELd1N+ahKpwKQ62Kr77fUAgJcNVqaBFVPYe3WivZO+pvKCo6a9+DLZTZ48mX2rYK9y529iWgODeGOMBUA7PDycGjduzEZ3SJniyxTEplS41Zdffkmnnnoqk0FUR+AKJ9o7qjUC8vxDcsWzD8INUq/IEiLOkCX7l1F+qvhXabR1G6wCAEqe1Ig2WJkGVnB+BtFi79jhVLzPfQggeWECXUqIpRYtWlDv3r0J9O76vOzdu5eeeOIJdrzF5JWQkECgt5sV9QJqKVEBvvHGG5YAz7r4fCB5J37vZ555Ru+eLlkV75jE9irLBnr1NMnXlf02WJkGViBZpMeG0a63hlLeFiddVr709LclwCu4H9LVP/fcc2yvQroEbMsS7PbIfc0u4SCNPF4AcOTIuummmwhOxUVFRUFvGkggSMEOejVsKwCv+vq7BHLw4cMGsILjuCy6zapw83DKW+7qCGyzAm3JKpg+T2bcS2IHZsSF0c6hD9OhFcnybgS9xKSXlpbG/juI6vDJJ5/U+4lQBYKUlBS64447WC0ImwaiXgSbfAIVIGIbtm3blmMBqu3DA2PcDvpDVEduCB8rOIqfe+65nIEa3dLAqqyU8lY97hL01VYBBhGoIB3akpUpkpXEP8xAnMDHYungH7OoXFKFBIERaJzcMCG3a9eOU2mAZGAvriMAp9FevXqx8R1f3gj0i7BHMo5SylXGbdnvSwkVragArZwOxJe+We0a2CYvvvhiatKkCSfyRPsYrOAMfGRpb/axEvKEDVY2WJkh6ZhzzwhCYsb03vfSf5O+ZOfgIOCU2/lh6tSpdMMNN1D79u3dkiv8Ofm6bUAt2AnVG6SqM888k1VFt99+OztOB1otCBUgJlCEhxIVYC0YLss30d0zjX0dOnRgNugvv/zCfWCwKj34Dx1NhgoQf9FkuYjkdcUuVVk/bMnKFMlKwDE9Jorv/9+XI6j0oBaVOthvOUgDUDOBst2jRw+mSKMN8jJLGex2WfV+v//+O918882sLkLqCwT+PXrUPZsTY1fT8fvss8+YBQgV4O7du3lYalqnVcc22O0yjiO2QayB9AwpFguDVcl/8yl/RRwDlTdpNkT6sks/Sl82WJkCVmqEeDACd37wKhVlV4wYEYyXF35Ew4YN4+CoSGVv06IrjrpxUsvIyKDExER20AXFXcbNeB5qcrev4h3c7xEWIGIBvv3223YsQPfD5Ne9I0aMYLCC2hcLg1Vh5ncMVkcW+XHyrUyKsI+5+LMx6NtgZQpYiWSFEv5Wu954mvI3r/frS+dtZWD+gaoLppmabNHb6+vreQiGCx8sEB/wJQ7JB4GAYWPy1wJHYOTgQiJMcQT2V912Pe4/JGbMmMG/55133slDxGBVtPl9yl+mpbAXaSk/ObrWZAqWNtfq0gYrU8BKEkkCrBB2Kee5R+jI6mWmzB+ZmZnUt29fzuaKdPY1kQRM6YDJN0WUi6uvvprVggAWBEIFkBkXX8Z13LhxFVSAxnrtbd9HwN1vgizS+PiAqwAIFwxWBeuedSFXYNK3aetBljJtsDIFrDTJSkt3D7DKHphEh5Md6UJ8f/d8unL9+vXUrVs3QlqQ77//3qc66vtFoDwjniDUdfgbOnQowbG4JgtsibGxsVzf+++/H3S6fE3aXhuudQdUaDfsgogUAjcFOIKHUHkx5a8Z6AJWNhMwyEAFtagNViaCVTjB3wr09cz+sXRw3gwqLw1+mhCkAkGYGZAGpk+fHtR5RiYMKYN6cz/fDL5XiNjerFkz/jIHsxIx5uBc7MuyZcsWuuiii9iWiBBQvtbjy73r8zWQpkRSXrNmDYWUFR+kgpUPUX6Kq0NwrVap1TKbGEuxi7rTjhfa07boMH3SlvTrql3FXg9cVmOMd3rfzrR/2g9UbkJ0BOR0gtMrbC6gRpu5IC0Jgug+9dRTFBcXx/5F//vf/2jevHlMLrA6qKF9iIKAnFOIegFp9ddff/UpGO7HH3/M9jCAHjI420twRgCkltatW/MHByKWhJTm7aC81F50BDYqTg1iJ10MNlCzJLswmrJfbOcCVjYwBQ6YnGPr/DjIiI+k9F6daN9P46ksr6KtI9CvKCbTa6+9ljp37qw7Qgb6nlK/gA8YiEh7cf7557OPC5IhnnDCCRybD5M+ogoAvKBuk2ukDiuWf//9N3Xq1ImdS5EjCyGskIbEuBj7ItuQoqKjo/l6sNPsjMDGkfPftoy5WiPU4rBbIdxWSNnRNMpPiXf4WHWnw4sBVhpg2Xar4KgDeZwVNaAtUQUDpCreg2ns8eG096vRVObBX0d9kfyxrr6gsFPBmAz7CHI4mbGsWrWK1ZC33HILjR49mmBHw+QOiWLatGl01113se0GgUYBbGr7zWiv8Z7u2pObm0toL9SCSDnStWtXgvHeG3WesABhO1m5cqVX1xjbZG/7NgL4LUFbB1i98sorFFKcu5byloIJKOw/W7IKtmTF93OAVVr3cJIQQM6v/4oTq33M32PilLB2ffIBFR/Y79sb5uNVMOIj+ywcgpOSknSHYB+rq9FlmKBF+sCEIX+oFKpKJMW7/vrrWfozK/q52kF3AKUel/Vvv/2W6eeSIwt2wapyZH3xxResAoR0VlOihrTDLr0fgSFDhjBYIQNBSGnuGoW2bgQq43ZwJA1TwMJsO9fCaMp5XlMDQrKSAKs2KPkblDzXtz1OA6xdY96hoj27vH+j/HAm9POjRo3iyOJI5+0ulb0fblOjKgAKSFmC8EYA1YULF5qWqsPXjkA6gk1QcmQNHz7cJc2HCnyQvKDyBKsQv42n6Bi+tsW+ruoRePXVVxmsoBoPKd7zJx1NtUHILICEvSp/eRwhckjW/9pTZkw4ZSZE0fbYSJ1oYQOWZ4Dx19jg4wBqQPztGvEmFezKImTPDtYCB9YPP/yQ490hCoOE8wnW/b29D5xtIVXhDypDK0hW3rZdzoNKc8CAAXT88cfzRIjgtO5yZEHCBAsQjsDotzdqQ7mHXXo3AurHAa4wbiPzANSArVq1opCiHT87aOu2FBVswAJQ7fqtC40acj1F3NKcrjvrJLrvguY0vvV1PGlqE7HmA+SvSdmup3Lg45BLw1+kgvQ07942P52FIKzw4TnjjDPosccesyRYgVwwaNAgnrwHDhxIOTk5lfbeOPFUenKQD0KSRay/c845h9mCCB6MWIMSDBcfC4iKgaC1IFjYLMAg/0CO24GJCbUtPo50sDKSKYzbwZ7I6+L9ZEylzJnblfp1voi/HBqEhOhls0YN6dUbL+VI4Cq4YCLFtsSzk1I9x16vHIzcjY9IVNviIlii3Tn8JSrMDC5YFRQUsBEZX/HPP/88J100c7KHpIco4+vWraNly5bRDz/8wMSE0047jQkgICjIYmY7pQ2+lvBtg1oTrEc4n8I/CwQXSFTHHnssv5MAZpA07CX4I4DAzpCsWrZsSSHF2b9UsFnZTsH+U4uqY6mu5y7qRj+8fhs1ahTKP0ZIiJQhFBoSQucc14TmdbydsuIiKC0mjNJi1FJdxzH7z/cxUMcygjJiw2jP8P9RQca2oL6ZCAsExhPACvRqOESauYDpFx4ezlR1fNniD1IGIkIgp1RtXARUpZQ+QEKEnRDUdkyMxj+oCxHR3Zjo0ViP1GeX/huB2bNnO3+Pwqyf6VBqDOUu7k4HFsdQ7sJoOrAomg4u6q6vY9v+83UMuvPY8fjyuMbwdtafXWlQz8v5h3BKVRpgYfvkxo3onduupK2JHWlzfDv6x/G3OT6KNidgO4o2OUqs23++jQHGEGOK8eNxjmtPmR+8THlBlqwAVi+//LJlwApsQKhgBg8eTE8++SQTDa655hpuHwKLzp07t0omnf+mrJrXVBWwQC0oYZoAVgBnAS2soGfSMwAAIABJREFUw6UAjqlwKZA/SJdYRwl/LtmPdfvP+zHAuBnHS8YSMRnldwj5LW0aDZybQE/Oiue/ATPjtHKWVsp+u9TGx5dxGDg7jgY4xnPATK2e/lOi6bqulzl/CIdkFRqivSQNjzuBrrv/Mer27gzq+vZU/a/LO7I+mZzrss8u1bGqznqXt3/lMb7/nSn09pTllLa7ouNozadMzzUYJSsrOp8CwJD0EKnGAVxQobkjWFQFDJ5HITBH3LXHuA9MP0SoAEtQnxwNUhZYgVAN4q9p06Z8Ls6HChEl/pDZFiXOxbr9V70xMI4jnND13+PXrTMpaXZPSpyWSAlT4yhxWjyv93CU2jb22X++jkHC1ARKnJrA49tzeoI2llMS6Jb+t7p8wek/SkgINT7xdLpp4Djq8Mlqajc2laLGpOh/vD16KbUbs0zfpx63151jVeVYjF5KURjLsak8nhjToXO20r//5QVm5vRQqxGskC7E7MU4oWMbjDgQQJDG5L333qMDBw6Y3Uy/3B/+Vvfeey+Di/oeYl2VsrCNSB7nnXceXXHFFRzOCfYU2LgQ6d1diX32X+VjgLGT8VPHCkk19d/j1y1TqdesntRzWgIlTU8kTKY9p8XxNvbZfzUfAx5Xx1hiXbbv/7IznX7F6c4fQ16M0CZ05g1hFDVyMbUbnUxRo5ZwifV2o1MpanSKY18qb2Of/efbGESNSlHGThvfobP+oX/3FvhlEvS2EoAVbFXIyQQjvxUlK+kLMrcipbxEsZD9KI0Apx6z8vpff/1Ft956K0tJ+uRokKwEuCA1IZLH2LFjCckfRbpECXUi/gDqsm6X2pj4Mg5I84JxB7EnZPLWadRrVqJbUOoxpeYTtQ12cQxOPaZqHwICVNq4xNG9Y++h81ufT41PbEKhjSDyhlKD0EZ04iU3UdjwudRuTLL2x0BlWJd9dqmAOQDH+z/XDwEHWM3cTP/+dySoflagTIMqDUYagsdamSqNgLaYPACqe/bssTIGeWybgCokKlDY4eQMCQpqKCNYgfSCgLhyTJW0IFUh/TpUokJ793hT+0C1R0BsVkxdn7n9NwarHlPjNcCaagNUMAE2aSbGO446f9qZbnuqDzU5/Tx+WUKPPZ4uj3mKOoxb6ZSsAFyYiMcsce6rxsRcnUm8/pwLiUwb1/ZjUnhsX5izhTIOBFcNKE7BUHtIavZqv9l+uACTt0gK7qoDnR0RIBBnb+LEiX5LbujuXoHeB6ffhIQEnaIOgsWsWbPYl+zGG2/UYwkClBFRZM6cOdSnTx+OMgJVoIAawAt2LIwLnFhVaSvQfajr9bs4Ba/Zu456z0kkDaziHGrABOppg5ZbaTMwQBZHSTN6UtdvRtClXZ906MhD6fjzLqM2b06l9mNgn1rikLKWEE+qo5P1UiZbu/ReovI4VqOW0Gu/b6WdhwqDOg8ArBDVG07Bjz76aJUOt4FoHKSNjz76iPr160eIiYfcTZikERMPUdYBTnfffTdPzImJieyHFYh2VLdOkZK8vQ5gjKDBsDkBdPCBgOghcBeQuqCGHTZsGLMfAWj79u3Tq09LS+Pf6v/+7/9Y2lIlLQAYHI0feugh+uOPPwj+c/bi3QjI2Ktnv/vuu/xRgOcuZO2ejdRndk8CoYJVVWxb6aGs25JWYABKxrUHS1aJUxOp64QRdOfLv9JxLVoyYIUeexy1vOchlq5kcpWvf9m2y5oDlIB/uzGalPXWn9to95HgTjKwcSANAlJzINI0JkQzFoDV2WefzRMEmFjwrYLKD3YaTMTwRYJ04S5FiLvJJtB9qO49s7KyGIwl1BJ8yZYuXcr2JWNb165dy8zHs846i6PPGyVOMAgBSH379iWco4IW1jFmADQwKBHOqbptNbanvm1jvJ577jl+7hDcOWTLwTTqNa0n9ZoOkoVGrICUBeByta/I5GqXfgUvB6Glx5Se1O27sRQ1MoWuiBvMPxA/8C3Op7temUTtxy6ndg6iRUU7S80nbBv0RBW4lD5YnEYH80uCOjfI1/7FF19MkFr+/fffoN5fbgZJAFlZMcH279+funfvTl26dGEAhU1t+fLlbqUFTCxmT8ae7i/7p06dymF7QDWHGhNBUsFmlOMyBlLCBoXMzbBVwa4FEowsxmsQ4BdjBh80sW2JmhBlixYtGNQAbpCiK1uMdVd2bl065q7fjzzyCM+FCPMVknV4B/Wb1VcDKqj+bPVfENV/CQ4JNo6p7V2++ojajV5Gd78xjZpd0EqTrho1pfMjEqj9xyscar/FOuFClwhsu5Vud6oR6I5NpU4fL6OxqTsorzSIUWwdM87PP//MyRdhOwE7zYzF3YQh+6Q0o101uSdIIIi8AYACcID1h1QnsM9Jn6TEfdR10PMhXeLLfv/+qtPGANBQN6QtiTuoghb8rtq0acMRMRAJRL1XTfpYV6+NiYnh3wxR70P2F+yj/r89otHXpyZQj2lOZqAtWQVLioyjHlMSqeu3oyhq1AqWoFr1eU2j0TYIocantaA7nv+a2o9d6qBZa1KALWH5R6IU0Ed576fLaMKqbCosDf7rj9AySHoYGRnJ7LJgt6CyidPTMU/7g912d/dD2yDJIPYfpB2oMJ955hkOEqy229M66kRkeaj4ADyIqiCqQLlGSnf3h70Pql0QLyTOoApckLYAggA3Yygnd/XVt30YW0i2GDNETAkpKC2kQX8OdjACAVRxir3K9rfyq8rPo98awCqBbVZRo5ZS+9HLqc07M+iUy2/jH6pB46bU4vbO1P5jja2mSw8gXdhSlf/GYGwqxU5YTZPW5lBpWfCnBuSHCgsLozvuuINfzmC0QCZbKYNxz0Dcw9h+OFW/4oi1CHU6oqp7k2zR2DbYpWDcB9hNmDDBrQrUeI26jXZBnZiSksJhq2CTRHvwh0kYJUgekPYQdR/qRCzG/qh11pd1jD0o6xgjBFMOQcf/t/hFSprtlKiCM0EHS2qpDfdxSFYTRjglp1FL6Lp+wym0cVN+qBuf3Jxue+Zzaj92lc0CDABAwzm4w7jllPj9Gpq1ea8p8wFsRUgyd9VVV9GkSZNMaUNduCkIEwIwULs9/PDDNaKTw1kbKkQEu61pxA4QPMaMGePRtgVna2TFnTdvXr2XtuBrCLIPoqVs2bJFA6t3V3zA9HUbpMwCtjhKnOyQrEYu1cEobNgfdMb1bbUvsEbHUPOb27F/Fav/bKnKfxKVA/zaf7yM+v60gRal7WOH4GBbreDDBLUQXlBE+baX6o0AvsQhnQgzD9R0pDapKX18yZIlHLEDDsAgvtRE6pFrYS9bvHgxgUAgDsmqihDSBFTCsJnBH0yu82ZEqnOu1OfLNXJtTUt398Y+MChBhkEYJgAXS1Zfb/yOerFkpbIBHU7CHlVXZk3sdfG+cZSoqAF11d6oJXTj46Mp9BgtdUGTE06nG58YUZHKHgBJQ29DHa9b7FX4AIA/2xNT/6HV2QhiG3w9IHx5EOEcIZfg44MJzV68GwEQUsBahCSFib5nz548yYuNybta3J8F/ytQ0FH3d999x+CHydTdJOu+hsr3gmgBvzbQ6HEPFbSwDj8wMEShxpTUMVXdu6rjlbfIGkcXLFjAYwEVLlw7GKxmb/+N+vzWk3pMjdWZcHpECxus9DEJnOSpqgGXOSWGMckU8f58anF7R+0BDm1Mp1/bmiJHLCL4BEWNtm1WNQdVJYLF2BR6fs6/tGXfUVPeVkgAb7zxBp166qkccgnOuPZS+QjAHoQoByKdIMAsSA3+JizA3+eEE05gOn91EzFWBRxyHLHzYJtBskdIEwBdsWsJgF133XX01ltvsZ8bgFiulbLy0XI96ss1rjX4f0ttkyRe7NatG9+IwWrtf2sd8QE1B1VMyk4H4booyVitTyC19KAuX39EIFjIBIyvfWzfOvgzatisGTVo0JBCjz+JrnvwHerw8UpWF4pkoF4j63bpDVvQAVajFvN4vvnHVtpztCSocQHllcdkBfUf1ICwW4ixXY7bpTYCmNDwB5Vcjx49dKZd165dCY68GEcs6sRX07FDLivYk6688kr+XVSgqEndahvV9d27dxMmazBD3UlbiFeIyBozZszgoMfqtZ7ag3Pg42XVGIbGPgwZMoTBGrEosTBYZR3O0XytpsdSElPXlbBLtmQVVMkqcqTypT8mhSfQyI/m03lt47SvrIaN6MRLb6CID/5gIDPS143gZQOWN4CFeIup1OnTFPpkeRYdLSry9L77fb/xBQWx4uqrr+Z0FaBN24s2AsZxgi0KwWURZQMgAluVqMhwhfH8mo4jiBU333wzA+Mvv/wSNBUtgBeEEZG2wByExKXGJrz22mvp7bff5iSQqtrT3RggjNQLL7zA2Z7dHa/pOPnzevgbQqL8+uuvuVoGK9DXn/xzIPWejTBLqq3Kpq4HTvWnSnce1IBiLxqbTHc89w01PuE0/vGQmPGqxOeo47hV1H4sUlx4OSHb53kYq1Qex+jxq+indTuprNz/k503LzEmj/nz51Pr1q2Zygy/K3txHYHMzEx64IEHdGmqXbt2lJqaqktTrmf773fEb/P0008TwjQhmkJNWYFopzdgoZ4Dp+Qff/yRbXMSLkrUgyjhvAzpEue4U1VKXZ06dWLfM2TnlX3GcTN7G2rcVq20wAggomBhsMLKa6lvOEgWtgowOABVDbAanUwRHy6gC9v30aSr0EbUrOW11PadORXAypasfANuRAjp+cNamrdlPzFamfS2YgKJjY1lm8X48eNNaoU1b4twSZAiJGbh66+/Xm3QqMnkDOddBBqG3cjfKlq1Xeq6u18Cx1evXk1Qj11yySW6bQuAJXYuMCEhQa1fv153ZJa6YH+DahFjiedNlcbkHLPLnTt3shM3xht0fywh5ODnTvj7exf6uh29QgWTQK87JKtvRrrYrFhiGpPKLDWo++58cSI1PeMcBqzQps3osm4DqcM4jepuVAfa0pZ3oCXgDtr645M30ZpsczP0glQxYMAAjvaNyRh07Pq+YEwg1YDggAkZ8fcggVYVY8/f44awTQAqpLRHKhEr2H7AIEU0/Pvuu08PJ6VKW/APQwZkqJclcvxXX32lS6bojycJqyrQ9Mf4eroHIlYAeIUJiHuxZAW8WpydQkmOjMEiWbiqBAM9YftePyLGS5uNJYOuS7xDK6o2nWpAlWBhBBxkDr7s/ie0r6cGDZ0pRBCGSfe7ctq8jNfb2x4AbEwyS6ivzEujzFw1WKk/Xsfq1QFGIHxr8EUJH5ycnJzqVWCxsz1NRt42E9IMInrA3wYhixAuadeuXaaor9CXxx57jL/4kSX54EG4OFhngVP5888/T5dddpmLTUukLTibv/zyyxxwF6GnBNQgYSFAsZUkLGSjRvsQY1EWXQ24/WAG9ZnRm5JmaCGXjJO+9bclI68CXFMTKGm6si0sR4507js4+n8sKgGrMc78VaCq3/XKL3TcOS016erY4+nCjg+6+F05QcvDxFzBbqWBG+puPxbXeAY7kUIAeup6rQZBRLIfk0wdP15KI5ek06EiZ7T1mk608pJ5W8r9QB6AGgd+Q2YFtPW2zf4+T8YA4ZIwscLnDJMWwu7Az8hsaWby5MmczRnhkUQ9pY6BtF/dF6x1uTckKJBAQPmGHUvASsAJwK8SNLD/oosu4niUwqQMVps93UcC2I4dO1Y/RQerkrJSGrTwKUqaCfq6lSbyqtoCSckJVBqbEddo/VDBSkt9Em/ByPKVgJUBXCBdXREPSqfGCjq2+YV050s/MWC5AIhkFTZc7wlY+Fpco0toGtgheC6cZV3qHp1cpzIVI/1K9PjVNGldDpUF3xdYfxmxgglHYgQiW+20adNcjtelDZlcpU+yDXsMUpPAroKYfEhVYpXsu5B0YfiHZIKQSFBFSrulH2aV7toBFd9rr71G11xzTQWAEvCSUgALDrhmLNJ+RK5HqhzYJpOTk/Wm6GCFPSNXjXZkDZY4gVZUmbkHL1FZamUPLePxVICA83zdDleLJCtXWxR8gZZSmzen00ktW/EXJ4LcSgoR/VwHUBkBpjKgMl4LaUM/n/29nA7IqFf+9HO8BEUrng9A7vfLelqSfsCVWxHseEuO1xJhl5CAEVG5EUfOKl+7+qwRoBVE7EDeKFDS8eUPdRYy+laWRypATfFYLSZUqKagkkTMQEiAxkUmXeN+M7fRTvhk3XbbbQwCAChV4pJ1OCPDXmTmMwdSCIAKke5VVqMLWM1Jn0O95yIJo3OCry3rmvoSaj8H0DrSnajb6AuDmYsNywp9rVyyqgA6o5ZQqz6vUoPQRhQa0oAanXoW3fG/r6jjpytqJvG4AzkQPBzSlWTSBeDo4FaLQUqAs8PHy+mFudvo3715epilYOOUOsHBF0YihoMmjbho6nEzJz1/3lvtExx8QUmH2goTKQgD2GclO4r0HWQFZE9GsFyw1qy4qGOL9mEbIAS7lVEFKJKVlOgbJHp3gGWsNxB9RwQStAU0fHXRwMrxZm7LTaM+M3pRz+m1R6JyBVNnuzVQ0rY5Gsd0K1PyKwcrTKoALAAEA9eYZGr7zkw65fJb+UcNbXIsnX1nF0e+K0Ui8gFIdBByABe2tX1OycpF6vLhHgISVik7jltKo5LTKJeTWJmnB5SJABP0N998w7RkvLB12W4FNRomf6ip8DWN6B1wcAVAW3VBgFVEsoCvE1S27iZ1s9ouz5B6f0imGNNjjjmG5wsBpcpKfDTAPueub+7uod6vpuucwj4khD788EMGWbmfi2QFu9XTC5+hpJlWkDa8awOASEJDiSoQAIY+IDhvn3k9tb/ftLLX7CQOLaVLXJaQIisBK4CGwY7Ek/yoJXT9Q+9SaGMt8GWTk86kW54exxmFfQcBB9liVApFjFhI4R8toYgRyVxq64t4O3IkAKxmoOh7G/17X0iNsRPW0JSNuzRn4Jq+aT5eLy+kXA5HSITagX0ExnLjcTmvtpboDyZ9MB4ROggTJ/q7aNEi00kUVY0p2o4wT6Cwg7WmRs6o6tpgH4cjsYwxUm0AhDDe+APjFB8HUDfjD9HqZR1RQRBJBckr8fEUrOcPY4n4jrBVInKHuriAFQ6M/3uCi7+Vq+TiHYAE9RpVpQf230ztr+sX91HrIXfSNQlX0yXtL+G/q2OvpP8bdDt1GtWBekyJYWJGUNvqERgrAStFcjGqAyPem0dnXBemkS0aHUNn3hCu2ZlUe5NyvXcAkUodx6ZSv5/W02u//0uvztui/70ybwsNnfUP9Zn4F3X+bBlFjqj90TPgX/XYlE20LEtoyOZJVuqLiUjcDz30EAe1feedd1zsNup5tXEdk9+UKVM4SgcmJQTuffHFF5mSbtX+GCdrRF9HuyMiIgj+V1ZbpL3w00MuKHwYyB8cmrEOIEOkCEhe+IPbhKxjP9TR2A7mAv852M9gtzT6GFYAq2U7V1AS+y2JCs2V+q1O7qoko+4P6jrUe2gvgGpWInX99D66tMPF1OTEJtQgJIRCGjj+sC5/oQ3o7FvOptiJ3Zw2LjdAErz+eQdW7sDmpidGUmhTzWeiYbOT6Yb+7+vMQBXcdPWegJcHQIsatZi6fr6Mftmwy/CMOifx8nKinYcK6dvVOZxZF9c42+aZ+u48x7/Skbf1quMh12Df639soyzxr0KoJem5viI7Al/KJAOywQcffMA06boU1BY2Hvgo4ase7+Ndd93FtpSa5pwK/C/jeofNmzezmhZOt8gCbDaDzrV1rlvyTLnuteYWom7guXj00UcrNNAFrMqpjA4WHqJH5j3sACwLSlJuQAXgmDQjniJeD6Pjmx/PpIMTWjSjq2OupDYv3E3t342gqGGR1HronXR19yvolJYnU8v2F9c6yUomWLWMeH8BtbjjXgblBg0b0WnX3EGRHy10kbB4knanSjQQJTT7lAZWiJG3N6+UvlieQYOmbqQhMzbR0JmbCVHJf9qwi7Jz86molGjBtv+o25crCYDlBERE3bCI1OUOlGXfmGTq/Ply+mpFFhWWOOm6GkY5wbnCWxOkHWBv3XTTTRzHbc6cOUG6a2BugwkTVO+2bduy7QTRKBCVAl/4OFabJlS0FeAEej3sQHDihhRipaWq8azp8UD0FfYxPO8AK4TWMi46WEnjy6iU3l/5Ua1SBSbNiKN7RrSnpmceR40ahdLF7S6m2O+7Ue+5Paj3nB7Ua46mGgTTsdesREr8NY7iJ0VXKlUFVTqc5rtkBb+rWwd/Qg2P11hUKCWFSDvOd+WQdMakcmRxDegUsoRIWo4yarQTrDIO5NGT0zbQ3e+J/WoRhX8IUEqmR35aS5v2HKKdh4ro1T/+pYgPFYkKESGsAlbcLxkDIYtokh1nBp60jhZu3+sQp8wHKPUFlRQYsCWMHj066OGF1LZ4s445ROYR9Xyom2DbkQy+mJB++umnChO8u2vVeqywrrYRrDU4LXfo0IEQEko9ZpW2Wq1NnsYF7VyxYgX71p1++ul6aCj1fAYr6RDUO9CBLMxeXKtIFomTY+m8Oy+g0NAQuqDNhZxEUst87JQMQW2HWg8SGAORpUgkvoMVQCFyxAI6LyyOdb0NGjahky69kVOItP9Yy43llHgQVsiZL0uV0OQcUQNCskLooWdmbqLwjzS/qnajl1G7sUvYVnXvJ8towqpsys0rpnFLM10lKw9SnHo/89c16e/l37ZQxgFk5BWgklJ9TQK3Lu+euztANQZ7FSbEBx98kNM6WJHK7a7t0i9ERL/nnnuYOQdHWtjh3KVpl/Pd1WXVfRs2bOCAwyArwJHZar/NzJkzCZEgkGoD0Syio6P5D+tgmSJ0FD4kzF7kt0csTEhVaKe7JUROlIPAq0OFR+iRuQ+5ABbYc9Zi0GlABBBq/14kNTkmlI459Vjq8sk9lDSrR4UoFRpQAbAcAMahmMT52QlqwZWo5L6+gxWYggiVdMdzX1OTkzQ7QOPjm3EKEQS5rQgKmlSlSj4CVDjXCFZPT/+bwkfgGu2v/eilfL/7PllGX67YQXvzimlUcgZFjlxM7UaJdKWVar0V2xEku5Ub4NTalUr3fbKSvlqRzepMef6tVOLdRIghUQXCT6a2LIibB+oxMvhiAoLBHAFUsb/CnMNfybWlZ852gnbfuXNnlgaQrdhICHCeGZw147jC/lMZXR0OwFaJPYmxRMQWPCvffvut2wHT1YDGox+uHslqNHXytiZYxdNN/W6kkNAGdP5d5zoA1ulvJe1HGCahuGOftfpSA7CCmmtMMktXLTs9pDEDQ5tQswtbUdthcwmqLo36LkCiSlfOfZjA+U9RA0Kyenr6PxT24RICXT1yZApFjFzMqsAe362i1TsOUvr+o/T45PUUMcJZFwOTDlxBAiWDOtM9OKbqdjWMy8O//s1RK7RnH/Rc41tg/jaYXKBJQzWCBIMgXlh9QbZefNHDLoU4dPHx8bRx40a28xgnVKv3par2IcIIJCv0F1KKlfr3+OOPM1ghCghsg8gFpv4BqMwihhjHFWGV8KyASu/Jx84BVmVOBpSjluW7V3AQWGtN6iKJOMsek+OoZVRLatC4AV3f+zrqMy/JBZQYmGYksA2u95xErZybSL1mVQxyK8AW/LKGYOUALEkhAupn6LHHO1KIrHSxH1Ul7aiS1a7DRTR8wXZK+PYv6vX9Gur1w1/00E8b6K0/ttGK7FxmBI5ckqbV73BYlvqldA8awQcw1/Ys4zaDBZh9yP3kb8ak4+6eUAWCFQiaNCZ9sNCwuDvXOAEEexttRbgkifoNqQqTuT8SFQa7L97eD8B87rnnMrtx3bp1llIFwrkWvmCwBYmKsrLnBscqO+7tmPhy3pNPPslSFaKYyGJsi6tkpXxZ5hXn06A/BlKvmT09SiHBo3Y7wckIJPE/x1Dz686i0CahdPvjt7iEiwLQ9preg7p+3pnuHHwH3fXM/+l/YAZ2G9/FY99wn+D1zw9gBRXeyEUMUBClQxo0pOPOvZjavDmV4wl6CxoCVj+v9xxGprisnNbtOkwDp2xwOAmr1PXgA5E3fXOCFaLLL6Xor1YR+oiswMaFX1rjThO34ZiJHE4IlYNoD1ZcIDlhcoTjKZ4/2ESQdsJdoFeZhKS0Yn+MbfLUVki6IFjAXwxAbbYqUNqN9iJkFaQ+yVflqQ9yjVklyClwBMZH9p9//snNcNdWPfmiu4Z+//dEjv5gBAhVnWY8FuxtgNUZV5/OYHXbE7fQA4bYhnASvn2AFpaIJ/GQUH6ZQo9pyMAFxmCw21zxfv4BK0zarV/9hY5roaUQadTkOGp5T1/2u+IJ3Y39xjjRC1iBYHGosJR+27KXCRSfr8gi/H23JpsWbj9AOw4W0Pb9+fThonS655NUihxpTZBSo39odrpUVo0Omr6J1u867O6xt9y+3bt3E748ETx1yJAhlpJUkLIDDrKSwRfBR4cPH+5RlWO5wfVDgz766COODAF1rRUIC+gSfhf4sCESBcDAysvXX3/NczISLVbmb+ciWZWXl7qoA7MO76AHZvbR/ZFcJA0hKnjwe6o4IXuWjmpybuKvsXT+XedTg0YN6cZ+N1Cf35J08IFkhb/7xnak6/tcSzf2vZ5ueOAGOv3KM4jBavD/VbDL1aQtvl/rO1ixxKCAEKjsVyYM1QA5NJSannkB3fnyj9R+7AqH75Vn2jqASwUr2KwGTttId7+7gCJGLKLwEYso4iMEtk2hvj+soSUZubQvr5BGp2ynqJHCGBTQMtiwvLIpybV+LJWxEWBG7qqxSzPocLHTt8rKLzPaBqMz0iZERUW5pE3wV7vdfclWVTfsIEjfARUlPgTRtgULFtQKu1pVfavO8ZUrV3KYIthb/vnnH13lVp06/H0uJDyES4JKFhErkGIF0fyRg8tMO5XxOUNbwsIQhSeEhg0bVukwuICV8UzoOd9f9QGr1lyAymSAMoLCVdGXU2ijBnRJx0s5HiCOa1E4BCDjNFsVYgX+lkRXdLm70EC+AAAgAElEQVSCwQrhmOqCZAWJQdh9AK82b03VU4ggusX5EbFKzMCKDrtyLUr4UHX5bDn9vGEXU9cHz/iHwpWwSkjQyHEBRyUTjh0uKqW/cg5R969WEny0NECwCFApACl97DBuGfX5cR39sW2f8XG39DZUOTDiC9EiGEkIjROLDBAmGETlRgJC5JxCNAokSkQGXyyerpPr61qJkERwdsZYQEqoTDoIdN9l7MG6BHiiTeeffz6nvIeqEmrBW265hd544w2CxC7nSxno9hnrR/w/tBEfPCB/VLa4gJW7Bq/+bx1LJ/BPQlgjTm5oEakKoAQn39bP3kUNGjSkZuc100IozYinRIWajgSMvD2jB/tZXdrpEgpt2ojuqgOSFYPDWEVaQnSGUYupVe/XqEEogtyGUpPTmzO1vf3HkK5cz5VJXEqjZDV4xiaWqpBHC/fi85Bdd9QSeujnDZSdW0Rb9+dRv5/WabEC3UgyItGYVXKbMS7Iujx6Kb09fzuTQyp7Max2DOAEKjjSNyByAnx8ArnIXCCl3AuANHToUD1cElLOI7oGJmzjuXJNfSiR0gXsR/jDWUEVCMAcOHAg56+Cn1u/fv04DxeCBSNEFOxD+O0gbcnvJmUwfy8QKtAWtE9IIJ7u7wJWOAn2ZrXRiMT+YvKL1Ht2IvWc7khqaCHJqsf0ROo+oQudeP5JzAi86cHrWHpKUtKcaAkY45gw0WtmEl1+32XUoElonbFZ6eQBBopU9ndqO2w6nXyFZqtr0KQph2RqP2YZp60XYBLw0K/X1YCpJE7Bg2ds1GjpmOg57T0kK0hyS2nA1I2UW1BEm/YcoQd+WMNkC2Pdcg8zS+kfwDrh+79oxqa9Vb4Ynl4YM/cjBh1UbWDZffnll3of1PdVXfe2rd5eg3BJyOEEhhm+0J966im3X8Pe1udt+2rDeUgV0rx5c5ZiwNi0yhjgI0dtC9Yhpbdv355TsoAU4+5DQ70mUOMP53A8R5D4li1bVuVtdLBy1zghSv2ZuYB6z3YQESwkVYk6MGmGRqJo0CCEGjZrQnc9ezv1mtWTVXwchX0G2t6DpbDecxMZrOqKzUoFAU2CWKL5VekpRJqyPviYU8+gW576lDqMW6447yq2IUeIJFWyQmSHp6ZtpLYfaCGWdF+rEYsIESy+XZ1FJaXltCAtl+79dBnBXqa2x1J5rzgeYCq9MHczE0Ngn61NC95PxJ979dVX+Qu+Z8+e/FUcjD7s27ePU6MjfQS+gmEI//nnn2tluKRAjRcy8UJSgUrrxx9/NFUV6E0fN23axOCK6ChpaWneXFKjc9zhCyR02Kq6dOmif3hVdpMKESzcnVxYXkhPL3iGJ3sBCEuVU+MIIZcu63Qpd75hwwZ0UdsLqM2Ld1OXT++l2B+7U+zEaLr/y84UNSyKWtzQXCNYDKn9BIt2o8U+hNh/iopvdDKFvTuXzrwxksekQcNjqPmNEexA7LxGASuHfUfACrRuRFZ/e/42ivt6FSV+u5p6fvcX9fnxL3pu5iaa++9uKi0jyjqYz9sAMhWcRJpxAS/FhhTs/aCrd/9qNUeTr+hV6O6pt+Y+RLHApHj55ZdzyndjK91NCsZzqrMNZ81OnToRQiVBokK4JDgqV6Wyqc496sq5iBgBVSBIJ1ZQBcq4qs+ErKOEOwSkGvzGwf49QfiA/RWOwLNnz5amVlo6JSv1NBGplH0z0uZyUFik4gBQWYa+7mgPbGoArBseuI7DLmk09RAKbRhCjZo2YhtVaKOGPHHjWONmTejuF1rXCYKFNvG7AhXvG5VKNw0YQY2aHs/9Dj3hJLrh0Q+cVHYd6JygBZBBipBfN+5Wfv2Kq8VlpbRh11HOb4VrdHCSiOYmApMLEDra0/7jZHphzhaWqvTeuHnO9WMWXcEkCPo6aOzQ94PpFYhFwiWBio73BT5eyF4MCcK4yARo3F9ftqX/UJOCKg4GHgBd9ps5DpW1ITw8nCVB1Wk4WG2FhgDPFfKBwRfPm0UHq6pOPlqUR4P+fFqXrnpMjdUp4taRsuKo18xE6vL5PXTb4zdTy8iWdGarM+n0K05nuvp5d5xLl913Gd362G3U4aN2DG7WaLvv1HWXidkNQIS//zudfed9/GAgyK0zhYhIZAJU2jZi/HUal8og9M2qbPp65Q6asDqL/75Zs4O+WplBIxZvY0o7EjBGfLRQiwuo3FsHLmVfVe30y3EDUOpq0dHJnA0Ydjgdn/SVqp586x1H6pCbb76ZJ0WE0vH3gqCsCCaKtO1INQ//ofXr15tKefZ3HwNRX25uLjPtEI8PySXNCI1VGTipfUaoJbAEweQEC8/b69Q6fF2HVAVQx7NVmVRlbJPXYIWGzUmfR71nO/2YrDHRCz3dIe0xCzCeJSYwBWGrAosxcWoc9Zwex7Y30NW1YxVjCJrTp8CBVdToFGcKkQYhFHrcSdSqz+vU4RPXILeY2IXxB8BCWnvdtwrxAOFj5fhDmhCsc/BaN4BkBlip9+R+uADXEnpx3hba9t9RJ1jxmxbcCOu+vNzqCyvrsCE988wzrHLq06ePi5OwnOPuXpUdw/kwtCMKA4LOwjZ10UUX0bhx41zqd1evlfYhyjuYeePHjzclmsTgwYMZ5AcNGkQAr8qWqn6Pyq6t6hji60k0DeN9QLoAUxD2Ndg+8bsHcwExR6Sq6vh8eQ1W6HBRWRENWfgsZ+TlSX26EyjMmeS9CUgbRz0BVAAxpAnhLMgANitJhgEEq5EpFPnRfDo/PN4hXTWiky+5niI+mM/5rTDJA6gQqiniwwU6YEHScQKAxjDUoqo7JDLYx1wAQZPQWJpxA2B+kZw81FvpPcekUpcvVtOvG3cSmK36UkslK5l4fv/9d7Y5gBkIp1TZr/evmitgiCEjMcIlAagQqgcMLW9VNNW8nV9Pl77v2LGDJU58sbdp04b9iPx6oyoqQztA44e00qpVKz2xpHqZtFXdF4j1sWPH8ljgowa5wwDi+EMOLjBKQ0NDmSiDnGnBahP6CfUoGIC4f3WkKlzrNVjJgKbuXOaMbG4lZuBUDYD0wLsOIJUoFj2n4zjAtYfFgAptChxYyUR++7MTqMlJZ1KDkBAKRQqRHs/qjsJg8bXq8yrd/ORogtOsAAtfKzYfJFMEY3CsEDmkFDWiiaWBWAKQVYEWTsBZuQUGqQpPtPUlK3nv1BKTC2xKcMSFz8xLL71Ee/bsUU9xu+5uUsJX9sSJE13CJb377rt6uCS5Rkq3FVtgJ0AV5A/4oUFigD3GmzHxd9MR2ghsSdgUoa41QxWIPgEIREKGFIMPEJT4g5oyMTHRxcfK3+Pgqb6HH36Y24LUKsgMrD5X6rq7670AqzJHFlXt8pKyYnp96ZtaJmELSFa6RDddk7IQaYMBi4EJqj+AVDz1nKqFXrJmJI7AgRUDz5hkivhoAbXs2JdCoApsGErNWl5HYcNnU7uxqQQgO/aclnRVz/9RRwWsnJM+JCuNwIF9AoAo/7+9K4Gyorq2SxIzfhdZS78fXfpdwSH4gcA3GhWjQSPQKDIaWpoeAGNCZFLjgCSICIiKYWgaaIaggED8gtAjtMpMz003kzLKPCjzPDXN+WufqlPvvuqq9153v6Gq33trvVVVt25Nt6rurnPuPvt4QCGCYCUWl2HpCZAWUJeZ5TSlaK8uWOtOcLJ6cVG2Zs0aHqBGXiJYWnj5zT9fHQDkkpCAD1+64pZZtWqVT9q1r/2Zjx2uZZwT3H5QQejfvz8nRETwayTACueCcwBYvfHGG/xREep2sLsnuH48IzNmzGC9Rqj3L1iwgEBbB/tPtpNpqM8T54IPCVGCr+nxAgArD1bJRW09sYN65SQamoEGYEQoWFgDI80lCaAyAGlxArv/hLkIy0qzvLSxKimP9PmHw7KCqgU0An96022c+wsyTHd3GcggdGurZ6jBT26ge7oO0OKwdEuFQUnUMdLWctJFASpf9HexzMI7BUB5k0ZgBfZbuJn2nrigBbvrb4c8xxamVk3fn4jWx1gDOiDQpfv06cP6b4GcEDoqyCVBdgfUZVCIMc5z6JC90n4g+41UHbgwYUVA8qisrIyJJ2CZhVPA1XimiGjx4sXsCkTSTGjxWf3U+lbrQ1nm79j+1tfm3GDBw9rFRxE+kOSnHkudl/Xq1D9Y6b597Ihn9eUpG6ZRsgPIFtaAo6lVRB6EAh3TC61lJQCjpRAZoLkDkELklrsYoBr86KeE/x1PJlJcerHhBqwGNlCxgDtQLBmnTtnCKqD4Oes5DYj6wGPeSLLo0nEr9XrQUTdr1owBC+rn58+fV1dXmz9w4AANHjyYAQodB2JtcnJy/G5XbUcOKcD1IqgUAcuIF4LVgHQTkXIDolkwdoYxK1hXoLOjo1Z//jpltW645+XcZBqs40NxBc8bVD7QPnb7V8vVeZyHf7DSz9Z4wfXlYxdP0Itf/NVR9HUmUMDlxxaeNdPPsLoiZAVaA2jowArBsO2nllD7aRX8bz06lxo2bkbXSaqUH1zPD9F11/+EbnmonTGO5XhAMgOladzq6fRi+kfeNjp9qbprLFgvYLj2Y35psSxlmCIYFdYRpJCQANDuh1xBIB5gzAJECjDW/ImH2u3LKeWwLBs2bMhZlMF+Ky8vZ+CKJFihbTB+BrDCuOKZM+5IRROqewqLHTR5gBWyXdv95Jm2Wx8wWJl3gB0v27eCIHUENxbGhtARa262QC2KWD0B1p6LEqjzrPHUJtWbUl5X0Hj4zdlsMd3eOp5zW93TdRDd2PwRzbrSB1zxEF13/fV0c8vfK5JJ3i61up5HqLc3W3y9P91MFYeio5PA2BM6Z6gBALigpq3+QHVHECa+anGv77vvPlq4cKFBbVbrumkeWomwqLp06WK4/CoqKlhtPJxgZe5ksYwkmSB7PPTQQwRrNtp+apsgeB3PXatWrapZmTVpF79gBU+JemB155VUSe8Wve+lAmHtlouBkrVFJe0SOsvqiQ++oLs69qXrfqhZUHhoGJwUoOLlBj+ihnffR3/48AvOVxVqcAnm/lWggshu148qaEbxHtvnVn2G68s8goMRF4Vgy+zsbKNTgGsMmWzxlQ+LCl/8EBANt7xOsNv5xIkT9Oijj1Ljxo0JqeXleiIBVlbXBmWRe++9l2OuVq9ebUl+sdrOzWVWOIHxO4yLQq4Lz2Jdfn7BCjtn0U9GLYVsoR9179n99JcvXiCk4ZAO2ZmuNgEGJ05DB1YMCmlrWGbpJ/8J6ZwGzAjkqQpYGMO67U5q/W6uZfxUMMElqPvieC8PU/Gp9GJ6NWsznbp0JarACmSLfv36sXsP4ISYGrhcxP2CjhO5lkB5rw8/BN+CWDJr1iwjqBWdJcCqUaNGzJKMFBsQ7QvwTE5O5g+EUaNGVXMFWnXs9eG+yHVhinQyTZo04Y9jMCPr+gsIrOQgduPRubuXUlK2BlaaZRUfcwfWaEws1GCFhIuF9NBrH1PDxk051grxVgZgXafN//jGW+ixkYu0wGCDBu4ASrp5fEpdVkkfaQWUOG895e87zUBl97zK81zfpiAXYNwKX7LosEERBlUYMTUYy7KitruxDT7//HMeoxswYIABvtJJIs8Xkg6q1HVZF+5rBZCCTg+WoiSmDPc5ROp4aHPkqILXpkWLFl4qKLW9HzUCq2pUX703uHqtksaUfGi4A3tmQOaoB9PGxdqKTX1ZdKEGK+Siyqd2kwvpsREZ1OiBNoYrUAMtzTX4gxtupFZ//0QRunU4UOmgBUkpUOm7zSqnmcV7ifT0H7V9KSL1gtf2uOp1ghEI1xg6CcRfQS7JrACu1q/tMSO1HXTlWrZsSRDYhTJDcXEx09VBWYeSB9yhIJsgizEU6lEGl6F6zep8KK8Dag2g1CNwG+NrkBYK17FDeV2B7HvevHmsUgH3H+KrgvHzC1aexkVApRZUCWag+av1yIXjNGDZS4bQbQycfIGTeV2IwYo7dbjKNAsL41h3/CGRGvzgx9ypoWPD/4c/a0j3v5RG7SbpKhYmhl1Q3XeqdVSneVxTPj0zvZRzVZ26qCs4mx/QYLwtDt8H3lUoOQwcOJADfSF2C7eY1c/zXlutdW4ZgloBRlBkUFUZ8Pyal+W5BoAhc24ortnXPgFO8fHxbN2+//77rie0BPpUIPkkrFu0/8iRIwPdzG89v2Dldw+owB1DFZV8V069liR7K0jUyB1m7sSjZTkcYKWrOqQVsJWFmKsmz71GDf5DS3GNBwsyTC2e/0ALDK4TgITbIiugFz7bxBmL+XmNQqCS9xSdJ6wPZIKFCxBCt1iuLz9Q0wHGuC78oWeo/qFpCDIJWIIACqxTNQ59gUso2ghafEhwiPsRiTG0UFyTr30i7u3xxx9noIIGoSo3hbavS/v7BStj5+gAqvz1AlU0Z8t8Q5k9xgwMFGxDB1beTDmNiACXoGYlFdD/vjiWfvZfWgwEVC3+J2Gw78Bgh4EYxuKem1NBS7d5tPH8PaW+Xja3r5P3FcGoTZs2ZcB67733CPT1aPjJV33btm0dAQ4I2oY7FnFtcEnWRGXcDfdLnjc5Vwjn4sMXlhVYp8H8+QUrfwczdwxQZh9V9K4xflXNHegk8VvHWH2hAyt/rjsEDbcaMoeV2KFicVenvtQ+vcz5KhUMmgXU9aN1NLlwD12RDymvB7J+aQH6fRdNkfsTJkzgsR2ogCPuJ9ypIPydbyjWw+0JqyqccVa+rgOkls6dO/NHA+6HpO3wtY1b14FQAsV7WPSI4wv2L7hgpXcUGL8atPwlSspNoJ6LfFgXThLCjShwRRCskMdqUiH9ftQiuuXhDvTfT3TnsS1/IBeJ9bASVeHcDlNL6O0vd3hUKvTnjydeoBXs18Yd+wM4QaUCQrXI9LtixYp6wwi0uwNwEyL4+Xe/+1214Gi7bUJdPnnyZHYFPv3000bwcqiPGcr9m60pHAsEF1iPsKqGDx8eksPXGay8zkrpILae3E5/XvqCnk4EgBVvyicFJXQfQBZR8Aj3eUUOrNqKaO2kfPrDP7+iB1/7F7UZv8o5lpWZQo/zTV1DT00rooGLN9G+Uxe1R/Aa6D+Sryq6LCp5B606EVCmkfUX4zgYQwC1W+rJVLaXqV25rHfyFOodiC9DTNnZs2cdcarIvIx4N9DYYfm5uX2tGhRivRBFBlB1797dCEi3qluXsuCBlQFUmvQ8bsiK/WsoJSeJeiJfExTQM7R0HZoyuk5vjypQsgPByIGVZ0xLUy2HlQUVCE95uMkS9scTqypuSiH1nreBKg565JRi1pR9NwCFB1gakGNCinrIM5l/eF/d3Ik6+dwhZNu+fXsOEEa6DreOW1m1MYLMYTHi2QJghXJsNHhgJU+/fNSi97hG9Mk38yklpyclZmqZeZMkBisGUobiRyhThATqrmMgYCsLbEF7wAh0f6GoBwAFOSThk3JavhOEAXnY5OHTmanGh5NSHgWz5s5EXc7Ly2PCBejdSGl+8OBBV4OTr9upXreveuFcN378eBbcRYC2P2X8cJ5XIMeya08w/ZBMEUHoiHtDULpd3UCO469OncFK7Rdwop4vXK0juXj1Ek1aP4VSliBDb4IheFuNeBHV4BU5y0qsFRVcYFmpy46YZ3dgEcXPqaBFmz3MP3nAPS5AvUT/WJL1sSmRBAyjc0H+qqNHj7q+WULZOQazcRC8jA4d5A+4zdxy3mobqOcMOanXX3+dgQqq95mZmWrVkMzXGazMZ6VekLauis5WnqP3SsZQr7xELQYrs6fmEvRFvogq8IocWGmBwpoChEFgMI8TOYCuDor6s7PLaN66Q1RZJWNT5qcvtqy2gPldxHJqaip3mhjDQnoNUXcw11X3E5uvewvACkFCSIgJQy7Kra5AtASeFegd4lrwHCFXFYLRQ/0LElhZuGP0M+cP3GvX6OTlUzS65D17SntUgZN57CqSYLXWa3xKG6vC+JWTXIEF1O3jckov2kOXA8Qp1eIP9UvklP2jE/EHOvgiHjFiBKuzY8B/6tSphr6eU66jtufh79pru99gbYd4NzDmoHzv5jACSHgBpOBSHjt2bDVCRajuQ5DAKrDb+d2572lo/lDDJVgt9xXYgVFJZ48sWEXSzeebyIGcWgXUeeY6GrdmN12qsv8oCuwJjO5a0olAeghuQMRf1TfAcvIdhkYeaPUIEsaYob+f3C9/9YK1PpDj4ePm5z//OQPVO++846VQEazzsNtPmMBK62TQGAxYa4dRrzy4ArVsvhC+RVoRjSX4HM9rzMFoYQxGL1iZgVIbQ5PEjxpQjV31LZ29UqWMh9o9zrFyuxYwd0SgdUO2CFJAAKxJkybRyZMn2TJT66rzdvuOlQfWAiBWQBUfzDmM8fhSwQ9Xu/s7jroezwiEaUFRh3UOlqP6U+uq5cGaDxNYaaeLi8H/yPnv6a21w9glKNaVMc3QxrOii4ARAyt2O0rM12TNBdlpZgUBqM5fRjiE+P9i1lVtX37pTGQK2jGYgSpgSb4rqWN3LH/r7baLxnK1rZDJGQSX/v37s7iuW9oDY50CVC+//LKXG1O9vlBeT/jASh9EwIXhG/m7c8c0WaYlEn/VnTRau2ZtSUxWdIBWdIOVMU42USyqtdRlZhlNKdxLFyv1TNXROAgV5Dff3Klg+fTp0/TKK68wYGE8ZfTo0V4qC7KNTIN8SlGzO2k/aDYiaeSvfvUrW4UNqeuUxoG7D2QKjFFhHuNtdudoVx6MawkbWGlEi6sMVKLSfurSafqwdByPYWnghFisnpS4WHcP6oHE9R+wohusPDFeGtkDZIqPSvfQZRhRikUVyhchGC+TU/fhr90whoVO6Oabb+avZ3z9q8kC/W3v1Ot22nmhHWG5QvoK1hVi35zMCgSDEcK00PoDUL377rte1qCv58LXutrel5CDlfFBrOTAUi/k9OUzNGljOqXkJlBSFhQuomWcSmUERjdYaS7AtdRucgF1n11Bn64/SJVXjSfH5isu5g6s7UtvtR06JuRcQhwQxEgR7Ll7926jqvrOGoWxmVq1wIsvvsgA8Nprr3l1/rXaWZA3wn3GH6CalJTEoIqM0xivMo9RBfnQfncXcrDCGehD4xadThWrXFy6eklLLZKTzFqCPH4FVmDUMAOjF6yEDYiEjynzN9JX249oD62OVZ6xKnmWNTkvWYpNa94CdsADWjvYXmCrYRC9U6dOtHHjRkJ57Be8Fli8eDFbsM2bN3dkYPbOnTs5/xY+WkC+mTNnTljiqPy1cFjAyvONLKeDh19/AZDa4RrR1WuXKXtXHr2Q9yfDLVj/3X9iXUUvWMGqaj+lhP6yYDOVHzgtD4hp6uksPc+SfAKZqsYW69wCCFpt1qwZpyV/+OGHafny5Y6zAOp8kRHcAZIw3nPPPRyrtGrVKke5AkGvl3t/xx13EMbYnOKqDAtYBfpcXK0iWvd9OfVf3p9SdOKFAViLeygZiHtQz4znFG096fTdOnU3WHmSOQYeSCwU9WdmlNHr2Vtp1/EL+mPiAaZAn5tYvdq3gJ2VlZ+fT61bt2Z3FSwtCLCCjGFXv/ZnEB1bqu2G+eeff55dbEOHDrV0r6n1w9VCM2fO5DgwWNX4SIEAspN+jgIr3CB8L+8+vZveLhhOKUsxfgWyhZZeJDHTwxQUqrsBZq5WwHA3WHlipTxsPikztAdZEaOA2kzUshW3TSugLjPLmZp+4mLopVqc9NK55VyQ6RUpH0BZRiDoG2+8QYcOHXLL6TviPO1AZ968edyuUCo/fvw4n6td3VBciHosjE/97W9/4w8TAFV8fDwdOHDAce5fx4CV2nhw9ZytPEsffz2bkrJ6UnJOgsEQFHBCEHH9IWPUE7DS46QMgNI1BWVcCgAFEGs3qYAS5qynrG+O0NVrHnee+gyE4gWN7bPmLQDtwLfffpsaNWrE41hIdQFRVl8BrTU/SvRtAdD/5S9/yR8BRUVFBjCE+h0w7x/W0yOPPMKkGhApRo4c6ViXr2PASh5Xz5gExrEqaeWB1dTvq79Ssqi2Z2jq7bCsrKwrqzIBOOdO6wNY6fmw0jyK7UJJV+OoOkwrpYEZW2m9Pj6l3m95BmJTZ7UACBbz589nyjUozHfeeSe7BaF4EfsF1gJmkMBWYNtBzQIAAaad1JFpYHv2X8tqfxiHgtvvtttu448QxH35U9Xwf6TQ1og4WHFDSo+lT2URl471e87so3eKRlFKbk9KysRYFZI5emSZ3AlQ6vhafQArb0FccQNC26/tJOTIgtuvjCbm76bjFxS3nxLSII+61csl62LT0LWAVburZchy27VrV7YG4BrEuMvWrVurWQXqNqE7W/fvefbs2UyyQGJMcQWG+qpwbxCSILR0YX3C5ev0+xZxsLK9OSpiEdG5ygv02fYMemFJH40taAQO1weihZvBChbVGoKLz+z+4+XUAmqfXkx/+r8NtGLncQL50/Kngxao6nZVLLeLFQa1Bfx1WLCmEByKeCx0dC1btmSr68wZT9bmoJ5QPdiZXZsCNGDZQNGivLw85Kw7WMhz586lu+66i4N8oVgCJXhzMki78430rYg4WFVrGOmp9KksavT2StpyYgsNLxrB41hJ2WAIesDKvRaWm8HKwwD0Aqs0BPkWUed/raOxa3bR4TMm0UufT34slspn8wRxZbX3L8B9L1u2jJ588kmW4QH5olevXrRp06bYWFaA7YdqcMWBwAJX4JgxYyxZgTXYnc+q27dvp+TkZGYg4iPj0UcfJdDUhZZe2+fA50GDvDLiYGW+HjSaClDm9Vi+UHmRFu3MpBeX/ZV6LRH19nivMSx3kS/qAVjp5AqNQFFIT08rpb4LN9LKb49ZWlNyj8H/NP/c8OKYzzmaluX+INMwxluEfIGxLKRvP3bsWDQ1h99rlfayqoggbOSGQmJGhAbg56u+1T58lYHpN27cOLr11lvZmkKQL6S1QJxx289xYBVIA16Dy+jaVdp75iCNXTeBUrIStLgsXf4LpREAAAxMSURBVKpJgKqapWWScpJ6tsQL5NcKCyXeYWBlk3gRlpPB7Ju4VnP7SV19GjelmOJnl9PM0n10Uh2bCuTGxuq4sgVWrlxJTz31FFOxQcB4/PHHKSMjg5CGJPbz3QLbtm1jIIFLDpZpMIEqKyuLWrVqxUw/WFNxcXHM5HSrIomrwKr6V3gVU59LviujIWuGUnJuDyZhAGBUIOJ5kW4yAMhJMVuRAysDfNIKCKnjDVeegBBTzXVXn2I9MYFCWYYKRcfpJTQ8bxtt/f6c7zc0trbetQCsAmSQvffee7lzhLXQo0cPWrt2bVgT9LmtYQFOHTp0YFfgxIkTfboCAwWydevWcawU3IsAqbvvvpvZmxAsdvPPNWAlN0rcR2h0lMnyxauXKHvXEhq0fCClLE2kpKx4Q1uwp4k9mCCAJdOwWE++rLTIgZUZdLBsAJYeJyXLBrDp5ZrLr4iemV5Gr2RvocL9pwxVfblfbn45YudesxbAPQerDClHoOCOjhLZiAcMGEAbNmyokb5cND0/EyZMIMQ4AbQCsUbt2mbLli0EkVwQNmDhNmzYkJB7at++fV4Wm2wv05rd5cjVdgdYCSIp7WTV0Cg7dfkMLdyeSYNWDKTeAC2QMDK0mKwkPbEj581ioPJYV+Fx99kBVoTBCuCjWFICTgxkbFl5Yqc8ZSUMUoMyt9FXu47QhSuaKDG7aJX7FJuNzhYAu61Pnz7cYaLjBHgBtBCEKurd8g7LVFrKvCzl9XUKsWC0zy9+8QuCW7Cm179582ZO5ojxKHwgwKoFNR1tDQIF9if7lKkb29L5YMXjUzpaKfNaiZZBFh0kC+Pyem3+2MWj9Om2z2jgsn4s2wQVDMRmJWUlaBYX3IK63iCXZ0oSyOeYqAHXoepKDC2YRRCsFFeeAJE2Xa2NT6XB0tLACpZV3ORi6jCtnAYs3kh5247Q+ctaBl+5H3IfDJPXjW9F7JyD0gLoKCGC261bN8KYDDpSkDH69u1L0B5EWhKrn9q5Wq2vb2UYQ2rTpg27AkG4uHJFiUO0uVi0EZQvkMpFQAo5sjp27MhtKyw/m81dWex8sPLXrDqOeXWOOsEMJIwTF0/R5zsy6OUVL1NydgIl5SRQkojgKlqDVmAEELMqD35ZBMFKdfUxMCFmSvT7tLEq5JmKm1JKT08tpJczvqYvdxyl85el4Vk033OX8MEQZEaTZ+exObe1ADpVgNKXX37JoHXDDTcwaMFFBRBbtGgRSYyWfPXL1G3XWpfzBXUd2XgBNua4J3W/586do5ycHA7OhgUFqxXTLl26VFNI99WOvtapx3PSvOvBSm10z3x1OvTZy2dp+f6VNHTtMErJSdLHtcIFRnbuPymPPFh5AEoHqokAqGJqP7WIus0soxHLdlDx3jN0GdL4Fj+GLh2ohKvugTOLDWJFUdcCAK3Vq1dzTNZNN93EoIWcSQ8++CDHGUENQ1yE0dY4IEXAQrrxxhtZYcLTl2kt8e233zIF/f777+fULbBS4TZMSUmhwsJCr3gp2Vam2IM679a2dQ9YKT2fMmvZ7lY3RraBcOrmo5spbf0UTXMwtwclc5ZiAJc2hqVJOcEtiBguAZRQTh0AVhibSiukdpMKKS4drr4S6vPpBvpX2T7aeUJj90kbcvvKguUdiBXGWsC+BeD2wjjN4MGDCZp0wlpDLFBiYiIhn1a0xWrB9ffYY48xk/Lf//43B1dDLQQhAAkJCTymBSsKfyhQvPnmm/TNN98YUlf2rV1/1rgHrILU5p4+toqOXjhCObu/oGH571Cf3BSO1QJwaalIFDahKT7LDsCqxXUFDHQ6WM0eT20nFrEyOcaNhH0HwoPMYyrz3mNMNkoSCnOP64uLTylHPioAVNyUQvrjx6U04svttHr3CToVS90RpKcuthu7FoD6+EcffURQcweLDRYD/khOiLTvGPMKhCFnt/+allt96NZ0H4HWNx8LrkCwAjF+hXE9tEGDBg24PTAe9cQTT9D06dMJyRuxrXn7QI/r1npRBVZeunOMWppLC+UQy12wbQH9I/9t6p2TzCrvKaKOkdldI1soVHcNmDyWl9f4lpooMlNLGilkDW2qsxCN/cVT4uJE6jxrPLWZUGyAlQFGDDCr9XJPzihYQlJHBTCDzecFTJqGn8RSIY08AArLHacX06vZW2nBpsP0/Rl3x2K49UWM9vNGDBBSj8Da+vWvf83jNwAtuAmbNm1KgwYNIqSDP3z4cJ2tCbWTV+fVe2BXrtaxm6/Jtqi7f/9++uyzz+jZZ5/l6xULCtePtkCblJWVGcw+HLcmx7A7T7eVRxVYWd8cGYPRppVVV2jPmQP0+fbFNLrkPfrL0hcoKTORen2RqLsL4Q70pryrbEIwDBMlABlAlaWxEDVrTAM3xHlp9HmNgYh1PRclUKePx1Gb1JJqcU7snoOLDuk3QDFPBQnCY0lxuVeZjDtpdQBecVPyqd2kMmqfXkJxkwsp/uMy+vvSrZS55QgdOH1J6wCqJG5N2sS6xWKlsRYIZQtAIig3N5fHtpBaXdyE6LxB8QYJAVYIGIWQDbLruO3Krc7dX11f67HO13o5HuqApQfLKC8vj0aMGEFt27blcSpcG/6woJo0acKW1dKlSw0JJtlHNE+jB6x0uW+N5u4dUOz9AOjxQiDDV1XR8UsnqfBQEc3aPJf+kT+MVd8BLr3yEjUxXbALszSiBgMQACrDA0IMbHqZjIVpU1DkZbvuDFZdZk2kNqmatSTA1G4ixpEAOquNLLtYZ6zX80dhrKmtnoUX7D1m8E1eR3HpFWx9dZlRSi9lbKKZZYepdO8pOn250njBOP2h4R9VgMoo826h2FKsBcLVAgAudOxDhgyh3/zmNyzphE4d1gdcZFB/hwsRLsNPPvmEEHOEsR4VPPyBidSVqVybuqzOYz2WzWWynUyRoBLKHgiInjNnDr366qusAQhyCc5fAAruTyRAfOutt2jVqlXV3J7qcWRepnKsaJhGD1jpd9OTlxYFno5Z65e1ZZ5H+BBmjA67imB1fXfuKJUcLqH5Wz6lEYWjacCy/tQnpzcHH/fK07IaJ4Gwkd2TrSrNXYjxL2+hXZA34BJkwMrEmFUP6jQLlpXHtdc2VdJuQApJxqr0MsgjTS5hZXPQyvFvn17GwNR5ehGlzF1Hw77aQfPXH6Sifafo+IVLTNKDyxPXrV6vXKO8AMY0Gt6A2DVGtAWMZ02+Ik1nI+tRDDYhwGjGjBmsIA5yBvJqSaePKdyGsMYw7oMYpA8++IDdh8jFBXcbLDG7+C4cQz2e6VQsF+G+xD6hEgFG38KFC2n06NGc66t169Z0++23s7VkBie49/r168cpO6CIrmZexjnU9DwsT66eFUYdWPH9MwBIv5v6svqASJXqD44H4GB5QeZpz6m9VHy4lDK+zaKpG6fT8LXv0EvLX6K+eX+m3jm9KCmrJ/VakkgpS3swZZ6TSOZq4rsgdKQseY6Sc5Oo27w0ipsCa6iY3XXtp5YwAGEqYAQ6edykfOo4rZD+OKuUes+voNezt1Lq2l206JvvqHjfCTp0+hKBYS7XIKDsWbZ/ijUw824X+9qxNbEWCF4LqO9fIHsFUIBVOG/ePLZaQEBAqniQFFQAk3nEeDVu3Jh++9vfUrt27Vi7EICGMaFhw4ZRamoqISgXGofp6enGH2VYhzqoi6ST0D3EPh544AHep0gcybEEnACmAE+cG7YF0w+ySHaBv/7awN/6QNrNrXWiCqx8ddbyEMjU+obqlpd8Beo79NqGyzQr7Pj5E7T7zF7acORryj9cREt3f0WLdmTQrK/n0oyvZ9L4dRPpg7J/0pjSsTSmdBwNX5lDb+ZupSG522jIkm00avkOmrB6N03J30tzKw5SzrYjnHKj4uBp2nXsAp04f5m0mCYdQK9pNpOv65TrsqxjWShbxKaxFghvC3i9VwFaPci4C5khUL5hVQFYoALfrFkzVjeXQFoBFUwFWGSqrlPXm8tlGfuEOxLHQI4vMPnGjh3L54BzEbek+XrMrelvvbl+tC1HFVj5u7m+HhbvftxPckCvyh5LzHx8HM+rqu6W9CrTFxgfMe+10rxHm2XLbXTgNW9iWddcKbYca4HwtYCv9zLQs7hw4QIdPHiQ03BACT4zM5PS0tJ4rAuBtUiCiIDbFi1aVPs3b96c16EO4sAwfgaF9OzsbCZ5wDWJfftyLwZ6nrF69i3w/3t+R6xOYxIlAAAAAElFTkSuQmCC[/img]
Spin the hour hand on an analog clock, and then choose a.m. or p.m.
A submarine sandwich shop makes sandwiches with one kind of bread, one protein, one choice of cheese, and [i]two[/i] vegetables. How many different sandwiches are possible? Explain your reasoning. You do not need to write out the sample space.[br][table][tr][td][list][*]Breads: Italian, white, wheat[/*][*]Proteins: Tuna, ham, turkey, beans[/*][*]Cheese: Provolone, Swiss, American, none[/*][*]Vegetables: Lettuce, tomatoes, peppers, onions, pickles[/*][/list][br][/td][td][img]data:image/png;base64,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[/img][/td][/tr][/table]
Andre knows he wants a sandwich that has ham, lettuce, and tomatoes on it. He doesn’t care about the type of bread or cheese. How many of the different sandwiches would make Andre happy?
If a sandwich is made by randomly choosing each of the options, what is the probability it will be a sandwich that Andre would be happy with?
Describe a situation that involves three parts and has a total of 24 outcomes in the sample space.

IM 7.8.8 Practice: Keeping Track of All Possible Outcomes

Noah is planning his birthday party. Here is a tree showing all of the possible themes, locations, and days of the week that Noah is considering.
How many themes is Noah considering?
How many locations is Noah considering?
How many days of the week is Noah considering?
One possibility that Noah is considering is a party with a space theme at the skating rink on Sunday. Write two other possible parties Noah is considering.
How many different possible outcomes are in the sample space?
For each event, write the sample space and tell how many outcomes there are.
Lin selects one type of lettuce and one dressing to make a salad.[br][br][list][*]Lettuce types: iceberg, romaine[/*][*]Dressings: ranch, Italian, French[/*][/list]
Diego chooses rock, paper, or scissors, and Jada chooses rock, paper, or scissors.
Spin these 3 spinners.[br][br][img]data:image/png;base64,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[/img]
A simulation is done to represent kicking 5 field goals in a single game with a 72% probability of making each one. A 1 represents making the kick and a 0 represents missing the kick.[br][br][img]data:image/png;base64,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[/img][br][br]Based on these results, estimate the probability that 3 or more kicks are made.
There is a bag of 50 marbles.[br][list][*]Andre takes out a marble, records its color, and puts it back in. In 4 trials, he gets a green marble 1 time.[/*][*]Jada takes out a marble, records its color, and puts it back in. In 12 trials, she gets a green marble 5 times.[/*][*]Noah takes out a marble, records its color, and puts it back in. In 9 trials, he gets a green marble 3 times.[/*][/list]Estimate the probability of getting a green marble from this bag. Explain your reasoning.

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