IM 6.7.11 Lesson: Points on the Coordinate Plane
Choose a horizontal or a vertical line on the grid. Draw 4 points on the line and label each point with its coordinates.
Tell your partner whether your line is horizontal or vertical, and have your partner guess the locations of your points by naming coordinates.[br][br]If a guess is correct, put an X through the point. If your partner guessed a point that is on your line but not the point that you plotted, say, “That point is on my line, but is not one of my points.”[br][br]Take turns guessing each other’s points, 3 guesses per turn.
The colored points on the coordinate plane are like targets. Hit each point by entering its coordinates as an ordered pair in the Input Bar, like this:
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[/img]
What do you notice about the locations and ordered pairs of [math]B[/math], [math]C[/math], and [math]D[/math]?
How are they different from those for point [math]A[/math]?
Plot a point at (-2, 5). Label it E. Plot another point at (3, -4.5). Label it F.
The coordinate plane is divided into four quadrants, I, II, III, and IV, as shown here.[br][br][img]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAh0AAAEwCAYAAAATusOSAAAgAElEQVR4Ae2dB7QUxfb1TXAxIKKoGAgXs2IWMeecc84ZfaJiwJwVc05gxqyIAcPDiIKKOQcQBBFFMSEZPqC+9Sv/576m6Ql3pubemZ7da/Xqme6qU1W76pzedep091xOmxAQAkJACAgBISAEGgCBuRqgDBUhBISAEBACQkAICAEn0qFBIASqAIFZs2Y59pkzZ/pjUpOj1/mdbTN52dLomhAQAkIgjoBIRxwR/RcCKUQAkjBjxgz3//7f//N7Eqng+vTp0326bKTCrmUjMCmEUE0SAkIgAAIiHQFAlAghUO4ITJs2zX388cfuqquucv379/fEw+pshGTMmDHuwgsvdLfccosjfRIxsbSfffaZGzx4sCcpJkdHISAEhEAuBEQ6ciGk60IgBQhMnTrVvfrqq662ttZ169bNkwprFh4OSMa1117rllxySXf++edn9YaQ9uyzz3bHHnusmzJlSiI5Mdk6CgEhIASiCIh0RNHQbyGQUgRYVsE70apVK3fggQe6CRMm1JEFllS+++47t9Zaa7mll17aDRs2rO5aHA7Sjho1ynXs2NHLGjFiRN1yTDyt/gsBISAE4giIdMQR0X8hkEIE8GYMGTLEk4VddtnF/fjjjz6olLgMvBVnnnmm93Kw/IInI9OGx+Tmm292iy22mJt33nldjx49fHrkaBMCQkAI5EJApCMXQrouBFKAAKRj5MiRbvvtt3dbbLGFj+/A+4Hn4oMPPnCrrbaaW3PNNd0///zjPRfxJhPLAbEYN26c22qrrVxNTY2be+653dprr+3+/vvv2WJE4nn1XwgIASFgCIh0GBI6CoEUIwBhIFD0yCOPdJ06dfLxHXg0IBGnnXaaX1a55557Mi6VQDogKS+88IJr166dm2eeedxcc83lFl98cffkk09m9Y6kGFY1TQgIgXoiINJRT8CUXAhUIgKQBjwSF198sVtllVXcY4895iZPnuxeeuklT0J23HFH9/PPP2eM5cBTMn78eNelSxe34IILei8HpGP++ed3++23nycvlKFNCAgBIZANAZGObOjomhBICQIQAkjG3Xff7dq2betuvfVWTzIgESussILr06ePv56puXg5WIbp3LlznZcD0kFcx/LLL+8GDRqU8YmXTDJ1XggIgepDQKSj+vpcLa5SBCAO/fr1c8suu6y78sorXd++fX1MxmGHHeZGjx7tYzaSoIGwEGxK0Gjr1q3rvByQDuI6WrRo4c4991yfRgGlSQjqnBAQAoaASIchoaMQSDkCEIK33nrLrbTSSu7EE0/07+vgMdnnnnvOx2QkLY9wjqWV4cOHuz322MM1bdp0NtJh3o4tt9zSffvttwooTfkYUvOEQLEIiHQUi6DyC4EKQQDSwVtJN9lkE79Msummm7pTTjnF/fTTTxljOSAdPOFCDMiKK644B+EwbwfBpXfeeacCSitkLKiaQqCxEBDpaCzkVa4QaGAEIB14I/bdd1//no2NN97YB5Jmey8HeX799VfXtWtXt8ACC2QkHQSUHnzwwT5OhDxJXpMGbq6KEwJCoAwREOkow05RlYRAKRCADPCujpNPPtm1bNnSnXXWWe7333/PShCIA3nzzTe9d8Qek8W7Ed+5xlINT8OQR6SjFD0omUKg8hEQ6aj8PlQLhEBOBCABkAGWV7beemu32Wab+Xd1cC7TRp6JEye66667zgeLEjQaJxv2n2sLLbSQO++88/wLxiA42oSAEBACcQREOuKI6L8QSBECEAcIAOSC93TwCnNe6MXXZCdNmpTVI0EA6ddff+323ntvN9988/lHZXlE1na8G/y2axx32GEH/2gtebUJASEgBOIIiHTEEdF/IZACBIxs8K0U3s8B4RgwYIB/cgVPB+/cyOaNID95n376af+ILYSCV5/zeCzLKM2bN3dNmjRxm2++uY8PadasmScfPFLbs2fPjE/DpABaNUEICIEiEBDpKAI8ZRUC5YoApAFvQ//+/d0rr7zi7rrrLk8WVl99dderV6+cj7aSnzeUEvfBG0gXXXRR/+bSG2+80S/R8LQKJIQg03vvvddtuOGG3oNCsCmfvCd2JBupKVfcVC8hIARKi4BIR2nxlXQh0CgIGOngxV+8cXTllVf2H3q74447vOeD69k2CMu7777reKyWj7rxFdovv/zS5/3hhx9cbW2tw7sxYcIET2C+//57v2Sz7rrregIC2eFR21zlZKuDrgkBIZA+BEQ60tenapEQ8Dd7PA0DBw7078/o3bu3++STT/ImAiyt8HG3448/3j+RwofhLDZkxIgRrkOHDp50EGjKxjUIyGuvveafjnniiSf8f3WFEBACQiCKgEhHFA39FgIpQwBPQ3TPt3mQjiFDhvgv01p+8hKQmkQ6uEY6yMfYsWN9XiMk+ZapdEJACKQfAZGO9PexWigECkIgSjZMQDbSYWk4JuWNXtdvISAEqhMBkY7q7He1WggUhEC+pKMg4cokBIRA6hEQ6Uh9F6uBQiAcAiId4bCUJCFQjQiIdFRjr6vNQqBABEQ6CgRO2YSAEPAIiHRoIAgBIZA3AiIdeUOlhEJACCQgINKRAIpOCQEhkIyASEcyLjorBIRAfgiIdOSHk1IJASGQ45FZASQEhIAQyIWASEcuhHRdCAiBOgTk6aiDQj+EgBAoAAGRjgJAUxYhUK0IiHRUa8+r3UIgDAIiHWFwlBQhUBUIiHRURTerkUKgZAiIdJQMWgkWAulDQKQjfX2qFgmBhkRApKMh0VZZQqDCERDpqPAOVPWFQCMjINLRyB2g4oVAJSEg0lFJvaW6CoHyQ0Cko/z6RDUSAmWLgEhH2XaNKiYEKgIBkY6K6CZVUgiUBwIiHeXRD6qFEKhUBEQ6KrXnVG8h0AgIiHQ0AugqUgikCAGRjhR1ppoiBEIiMGvWLDdz5ky/z5gxw7FPmzbNDR8+3NXW1rqamho3fvx4f55rlpYjebUJASEgBOIIiHTEEdF/ISAEPGmYPn26GzdunPv111/dmDFj/D569Gj34YcfumWWWcY1adLEjRw5su4aaUj7119/OfKKeGggCQEhEEdApCOOiP4LASHgCcOoUaNc9+7dXefOnV2nTp38vu6667qOHTu65s2be9Kxxhpr1F0jzfrrr++6du3qhg4dKtKhcSQEhMAcCIh0zAGJTggBIQACtrxiSyscp06d6pdX2rdvP8fyiqXT8orGjxAQApkQEOnIhIzOCwEhMAcCCiSdAxKdEAJCoB4IiHTUAywlFQLVjoBIR7WPALVfCBSHgEhHcfgptxCoKgREOqqqu9VYIRAcAZGO4JBKoBBILwIiHentW7VMCDQEAiIdDYGyyhACKUFApCMlHalmCIFGQkCko5GAV7FCoBIREOmoxF5TnYVA+SAg0lE+faGaCIGyR0Cko+y7SBUUAmWNgEhHWXePKicEygsBkY7y6g/VRghUGgIiHZXWY6qvEGhEBEQ6GhF8FS0EUoCASEcKOlFNEAINhYBIR0MhrXKEQDoREOlIZ7+qVUKgJAiIdJQEVgkVAlWDgEhH1XS1GioEikdApKN4DCVBCFQzAiId1dz7arsQqCcCIh31BEzJhYAQmA0BkY7Z4NAfISAEsiEg0pENHV0TAkIgFwIiHbkQ0nUhIATqEBDpqINCP4SAECgAAZGOAkBTFiFQrQiIdFRrz6vdQiAMAiIdYXCUFCFQFQiIdFRFN6uRQqBkCIh0lAxaCRYClY/ArFmzXHSfPn26++GHH1xtba1r1qyZmzBhwmzXLW3lt1wtEAJCoBQIiHSUAlXJFAIpQAACMXPmTDdjxoy6ferUqW748OGuffv2rqamxo0fP77umqUjD3m1CQEhIATiCIh0xBHRfyEgBDwCeDE++eQT9/LLL7uXXnrJ7/369XMPPPCAa926tWvSpInr27dv3TXSkPaDDz5w//zzj4iHxpEQEAJzICDSMQckOiEEhACeit9++8317NnTdenSxR1//PF+P/bYY92BBx7oWrZs6UnHEUccUXeNNCeccIK75ZZb3E8//STSoWEkBITAHAiIdMwBiU4IASEAAlpe0TgQAkIgNAIiHaERlTwhkGIE9PRKijtXTRMCDYCASEcDgKwihEBaEBDpSEtPqh1CoHEQEOloHNxVqhCoSAREOiqy21RpIVA2CIh0lE1XqCJCoPwREOko/z5SDYVAOSMg0lHOvaO6CYEyQ0Cko8w6RNURAhWGgEhHhXWYqisEGhMBkY7GRF9lC4HKR0Cko/L7MGcLeEPktGnT/M5Ng/9p2+zxzvibMPkf3dPW7oZuj0hHQyNePuXxxlleg48t4VhNdqR8eqHyayLSUfl9mLMFGIuPP/7Yv7jp5ptvdmPHjs2Zp9ISYAAxhNwUjWTQBs7Tfs5zjJOSSmtnY9dXpKOxe6DxyueFb1dddZU7/fTT3Zdffun1qfFqk1/J9dF30jK+sSOyFfnhW0gqkY5CUKuwPCjRq6++6tZZZx134okn+rdFlmsTIAkoPrOpfGdSGIuRI0e6q6++2vXo0cONHj26Li9yeD13165d/RFjoq1wBEQ6Cseu0nMOGTLEHXrooW7LLbd0AwcO9Hpajm3CHqDn0UlIPvUk3z333ON4y+7QoUN9+zinLSwCIh1h8SyZtGIGP8rXv39/t+aaa3pvx6hRo0pWz2IE00bqyldMX3/9dTdu3LicngnyQE4+/fRTt/POO7vtt9/eff311/4c1yZPnuxuuukm/1XUG2+8sWwNZTG4NWRekY6GRLvxyzK7w/G7775zBx98sNt8883dW2+9FUSXTH7IlmIPmHgMGDDAH/OdaJCP1/gvtNBC7t133/W2qBT1C9nWSpQl0lHPXmMQMjjZG2JAxsvLVSbX43nqQzosr8mJw2Pnrf38z2czudnyce2PP/5w119/vdtrr70cMytLn6kMkwvp2GmnnRJJB2SDr6KKdGRCMf/zIh35Y5UpZaE6lEke53PpoelJLn2yMpLq+O233+ZNOqw8k2Ny7WjX861PPF8muaSbMmWKe/TRR/0k5LXXXsubPFAXvh+04IILetKBl5RytIVFQKQjDzwZeOauY/bNTHzYsGH+g1gWVDVx4kTHbkpEHgY/X9vkc+Dxwct/0vJpcNLw2zauYdwhC3/99ZdfOvj+++/djz/+6PjyJ3VJksd56kPMBun5BDk3cWb7fP0z7umgTOpIHawdkyZN8rMD8v755591LkZrP22kHsgfMWKErx91jdYHubTZ2k47kPvzzz/7fOSnTPJZuzlSh6+++srtsccebscdd3QffvihrwNyuBYtI4oVeSEd5Nluu+3m8HQY6bjhhhuCzM6s7Go8inQU3uuMU/AzHcKG/PLLL1430BH0FL2I6jfpGf/oT/S81QKdIB92Ka4j0fKY+UdtAuUlybM8lIl+k2fMmDG+DHTzoIMOcptttlmdp4PykUW9qQe/sSm//vqrz8vR6mWyuW62ADvz+++/e3sRrQ9y+R+Xy0cIwY26/f3331625SMPZeDJPfXUU93GG2/snnnmGW8PSUv9uE66pI1rRjreeeedunonpdW5whEQ6ciBnQ1klJ64iEsuucQdffTRft3vrLPOco8//ri/uT/55JN+PRCSYMpF8CaBV2+88UbdzdWKQ1FQxmuuucZdccUVs90MuWHjyoStX3jhhY4ve7KWetxxx3l577333hzsHeOEgj/99NOue/fuPj1rk+eff77//Dj1XGONNWZbXsFADBo0yF155ZXeq4Ai33333e6kk05yRx11lHvsscfqCBFEAdmkxQV5yCGHuGOOOcbjwWwC42DKjNzPPvvMXX755Y66fvHFF+6OO+5wJ598sjvssMN8O4i/wIWJASYfeXCHduvWzS299NJupZVW8vEn1P/SSy/18kgT36x/RDriyJTmv0hHYbjaGP/kk0/ctdde63UAXTjllFNcr1693DfffOMnBugFZB/7wMYNn/ToIjqGbbENmaR77rnnvF5CCuymyjUIDZMN8qPT2BBswjnnnOOeffZZP2GwcpBJHggBSyeXXXaZtwHUEZ2877773AsvvOD2339/t+mmm9aRDspjEoZdIB9lPvHEEz4PeW+//XZPMCgH20h98GQSY4UNOfLII925557rbQv2i3TUA7lMmIjRon2QnwceeMCdccYZvg3Y4Isuusi9+OKLnnCRj7FJgCv2YrXVVnPt2rXzZSCftNgpszeGYfRImSIdUURK81ukIweuDGZIwFNPPeWVbamllvKz6QMOOMC781nf5CYP+2fnxk0eCMUjjzzilllmGa8EnItuKAgK3rZtW7fEEkv49Had8yh5p06d/L777rv7z4lT1mKLLeaXHrjJmoHhiHfjuuuuc2uttZZbYYUVvLeAT5Bvs802nvHvt99+bsUVV/RKZTEdtIt4B2Si0JCotdde27eDpQoICJ4V5GNwNtxwQ09cdtllF0f7t912W6/YW2+9tXvllVc8caANtB2Sw+fP+Sw6hm6TTTbxdTKjhUHYYYcd3ODBg72xgFBQly222MKvqUI8+E2cBp6PN998czaMDCszUCIdhkhpjyId9ceXMYr+v//++w5dZmxz40Ynd911V68b3IR32203t+SSS3obAs5sxCd16NDB65vdlK0GyCUdweGtW7f2s3qzCVxDZygPm4AXEHtAeW3atHHrr7++e+ihh+q8sKRHB/EMEBeFPLyG5EHfN9poI7fPPvv4I7psMR206+2333atWrXyhAAbRFpsBfrNpMsCu5lIbbXVVm6VVVbx17AF6Df2iiB37CUeFtrAjhdk8cUX9/U57bTTvF0y20PdsCEbbLCBJ1DYTOwZZIo04Ehe2knbwZb2Ys9oa9JGmSIdSciEPSfSkQNPbqCsZaJE3ETxTOD2R4EwIjyCSjT3wgsv7JUN1o8iogC9e/d2kBS8IxiH6GDnP+6+ZZdd1iss5djGNRSZSGrYOZ4C4htQdGYrGAQ8IKRDUTAWeFpWXXVVt+6667oHH3ywLg9R5jD/2tpaX3+UykgHisqsg7pDIFBgPBJ4P/DS4AJFPvWmDrfddpufqeDFoD54Knh8DmJ15pln+lkZbaDteGkIyCKWgvgMSAsywJK24bXBKEDYMDRgBqbM6JAH4cCAMDP8/PPP/SyJusQ36sZ5kY44MqX5z5iDWHMjbNasmZ85lqak9EhlbLP8gR40b97cex3QS3QBXXr44Yf9jZIbN/EE3GzNq8fMHR2CoOD1QJZtjHv6A88jutS3b19/HZ1gx3uCDcJTgD6js+gJy43clCEgEALTIQgON2jsC15KJgTkQQexRRCGRRZZxE9ioqSD3y1atPDEARuCvcO7+9FHH/mxgj2gDDw42E/0mmvoO/XBm7H88sv7eBHqQJtoJ8solAcuTJ4gJeSjTh988IG7+OKLPYGC3NjyEu1BPvYaInPnnXf6tOCMFwbZmTbwFOnIhE648yIdObCEGODyxBsB62f9EYVggGIY8DCcffbZ/oYOw4+TDhQY5WCwo3i28d9IB54GFNM20rGcw04ZpOWIa5AbNiSBGQznqQvrnMx2IEW33nqrd8Nynp18uCZxY2LQMpEO6slMwAgA7aMetlM/3LvR+lA/nopBwffdd18fj0EbjHRgYDFuLJuQD5lWp//+97+uY8eOnlyAIedpD0YFI4tBxChzzupg+ESPXEOuSEcUldL9pj9EOuqHL5jx2Da6sN5663l95JzpKLNvCD0z9wUWWGAO0sH5fEgHy5/IRCfY0EN0lAkN5bFzjv5DZ6kLN2/TPasDT6jwTo6ozmIXICsQgKinA5lGOrCR5513nidHljequ/xmicXqwpF0kBq8mdTJbAV1MtIBoWKZBvtHHrMjtKNz586+TkyQrEyIC54QvEnYJ9octWeZeo80Ih2Z0Al3XqQjB5YYBNg/xADDgTLYxiBFCVB2XIYELoUgHVH5ZhAwHBgQlAvygHfFlBaPC3XEjcpN24yOySEfMxVmDcyK4p4OzqOgGJZMmxkPqw8KDmliNoSLFJcmZbMZ6WD2w5ITxiK6IQuDgvHCO8MMBLnszMjwykCqmAmBcbYNWaQR6ciGUrhrjDmRjvrhie7iCWRSQGwBHsboxhhm/HLTxTsY93QUSjoow/QD3UJn0U2Wafbcc08fWM5Nnj5FR/E+MqEhJoN05LWN33hdWa6IxnSQ10gHeovORvNZfjtafcx2USdsATEaBLpDEjhHfY10LLfccv53XC64QlawM3iE+E8aPDyQDmwPy76cz2cT6cgHpeLTiHRkwZABjGeDmzkGgxs+ymAb1/mP0sG460s6IAMsr5inA3kMfJSOa7bcQFAXyxAEXuFRYDbE8gOKi0IRTIWXhXVLXI/xjTQQI8qKkw6e6Fh00UV97AXlxjfqQzkYStqPHNZpCegikBSyg7EhBiROOiAzeIfiSk87IT7EqBAwKtIRR708/tNPNiYZB+z0JcSaPq+pqamL+bHrHC1febSi8WsBZsRDoA/oDzf06AZe6BZLCCFIh/UF5bIkg30gmBSPLMQCrwnLYwSWswyCfrMswXm8CkxiOBffWFZG37mZY/NIw85v7CM2CG9ofLMxhH3hKRKCSfGaQMTw0LLstPLKK7vVV199DtKBXM4nTYgom7gQ0kDaaC9liXTEe6C8/ot0ZOkPBjCzDiKhuTFjLFBo20yZiDnA81Af0mHEIk46UCSeFMFAEPCFoWLpA08KSk05888//2ykg3gO1i8hJdwQ4hvKiKKznJFEOiA9PEGTRDqoD4YEo2X1QcmpD/EjrOESGJdEOkhHdH5cLrjhvjXSYWQOAidPR7z3Gu8//USfMAboQ3bIJzNQlsAgHdwM7BpH0pKHvNr+RQC7gd4yI+cmjz7GN7yGeAtZkqyPpwPMLaYDQgP27HguCEaHWGBDKBudxU4Qm0HcVJR0MMFh0gKZZLkDGfGNZQsCyJNIB/Zx7733nsOriQzGAvXETjHJoC7YBjwY2BA8nnhzsE9xTwe2iQkWHuf4xlgT6YijUv7/RTqy9BHKgisStx9KwnpkVBnNKBN4yc23PqQDw8ONlxu2eTqQTXkEYjHjYAbAY7oESWHsMSTcoFleiXo6+vXr58tnNkX8RnyjLILJUPJMpIO4FQxDfMMYEuiFUcCbgxxwwJDijeGRWJZX2KOeDgJCRTriaFbWf/qZ4EQ8W4wBdgIMmaGytt+0aVO/XGDXOJIW9zxxRiIe//Y3+scyADd/vA5Jng70nmDuTJ4OPJzmEbRRxAQInUXv6Q8jHcgnkJsbPCQD8oHHAxuCPvOb5RVIB0+4cPNmooMc7BEeDc7FN7wJLHtmIh0QgPhSKjKwazwVw1MqkBqWerFj1Ie62vIK9UkiHRC2+pIOnsDR8kq8B8vjv0hHjn5gsDMzgMlDLlBGjCm7KT1PZqAwcdJBVDrBVTwXj3GwfBxROOIhCC4z0oFszlEe67usoVKGlUUeFD9KOpDLi2zs6ROitKPl8BtDQ10gMkmkA4OVRDrIi9uVR2JpPxH3GFCTz2/WhFHuTKSDl/TEyQz5s3k6cP0y61JMR47BWeLLkF3WxHmPxF133eV3nm7CK8a4hnTw9JZd69mzp2Pnxso7Fuhnbf8+Qs4jsZBwnhZDH02HOKLjBE0z40e3o54O3r3BjZoJCN8XitofbuYQfyY82JA+ffr4Gzw6i97RR/QdRMDsCPkhHXgZo6QDjxXv5sHTQuwaZMDyWB3Rf3Q9KaYD+4AXhPrEN8rkqTvaz/ggTVS2eVBCkQ6w5IkWkY54T5THf5GOHP2AgSAimxs2z4pDQlB2lIabKWuUzPAgD9GnV7ghQ0aY3RANbi/8IR/5yUesBteNdCCPmzhR5RaYaem5hgyehInGdCALI8PTKZAHPAwoNefZycd1Zqfkiz+9QkxHNtLB+qi5PyEBtIs6YUhoAzccXLXx5RXzdNSXdLBUhZsVowHBihrZpK4yg0ha1psJIMOIUUeu0X96I2kScrnPGbY2ljjS/9wUbXmFpbfodX4b9rlLqI4UjGGWFtAzxqc9umm4MUZ5HBRPQPzpFXSOd+fg2eTJNSMDYExfMEnBhnDTN9JhngPey0O5yLeyyI/3FHvFTZ7lHq5RR7xUeDqwczxRhu2gHK5jU+6//36/xIo9iMd05CIdTEogNPaCLqsPEyk8NMTNZVpeqa+nA28vJA0yhmeWMmxMMqYzbaTR0yuZ0Al3XqQjB5YoNoFVLLGgkBgHbsTM1GHUKDWuPOIsjHQweFFibn4oPgqFwvLlQgIoyc/Ls/CMsL4JoaEc8uCpwBVLHAmPiaFAuD55x4Wt0TJjQBFJT1kYB1yWLJ9g1Fhu4cZAHcnHbIc6QG7ing57DI7n55EX3VBQ3OSs1ZKXx3ExgsilDWABOSDmJMnTgSHKRjowpASQmduYttBeCBcGiPbTDtofX9qyetqNEdIB8aEvkkgHs0XaGm+jydExPwTAT0+v5IeVpWJcs3yCdwGdwKsIuWZcQxDwJhFwDXmIkw6WIZhQMH6J82KcY0PIxwSFJQ3eBQShseUVCANv8oVYEICOTSEPQeYsX6CrxGdh01heMQKAnUMn8TRia/CyoOvYLWwKSzzUH9IBAWIskBcCgn3I5ukgtgvPC/aA+phcvGKHH364bwMBo/aSQeSi+8jF85u0bEP5lEmdkIkNxR5gTyBOYMb7jLBVYE0fYCszEQ/6CfvIEpc++GajN/xRpCMHpnZT5yUzPN7JDA9FJ+qawE2WHmDVkAtbXiEPOzdKXg+MEpOX9ORDUSAoKAbBXRgHm1XgzeB5eV6Ww0zksMMO80+WcOPncTWUiOArIt1ROrvposQYGspiHRdXKa8+JiIddyjrteSnfNKyMevhLaAYAwJFkRffUGReNkZdUGLagFyMJEaU+rE+zHs1CAJlIw/r+hhCXqFM26Ibdcb7gjGxR2bBi/NgRp14UytEiXbwVlOMU5Lr1tqP0YGs4O3AyH4+C74AACAASURBVJg8ZjksAUDIkIsx01Y4AowRkY764WdjlBs+N2yCx4mN4AbH23rRZfSIGIz48gpeCm746C76x4SEfBAR9BrbgycV4k/cBOMbfbOysAekQYfQXeSQnvx4VCEMpivYAyZHvAnZ7By6Tt3QVeQwqUHvWWphLFAeBISJE99lob7xDfmQG/Jh67Bl2CGWXJg8QTqwU9g1PCHIJQ9B8cgFnyTdp2zKxM5A4oxQUAe8PkzcwJT2ghlvWMY7i+ykjfPgxGPDSZ+aSMqjc/VHQKQjB2ZmMFhWwTvB2iw3WYwGz5ZDEHDhoTxR0kE+lIebK+vgfD8Fg2H5mMWzRsvyBjdmFIg8HGHlrH0in9gGMxq8vAvPAwSIteGo8lAW+VAsyuIGTFkoN684xw2Lp4LYDm7sbCgprlbIDy/rouz4xjmIEPlQXOoDweDRO+rB8/G8ARDZlM9GXXjpELMayEeSXJSfVyZfcMEFPlCWthhmhgvGgnZgnDBGEIikjXzM5G655RZPLJjpcI6NNpKXuBqOUcySZOlcdgToW5GO7Bhlugp26BseC7wG6BFjG88HwZt4DeOBpIxjYmuwMegpkwc8FegGbxqG6COTNwPz1Anjm50Yjeeff97roE0KuLmjc5Dy119/3QcF4/2gDNuxc+gzumv5IEbkY/aPPjNBwfthZfGbumF7mHDEN2RDaJg4ROVCZvCw4r3Bw8HyDnXDXiAbjw1ysXVJckmDFxeZTKTMzlAedhK7x6QFmwWpwX6yHMj1pI3z2Dm+EYWXBXmZ0ibl17n8EBDpyA8nP/gYhAxm3I4sW3BzhIHzm5kAsxjYOcrAxoDlNzdLborcoEnLzRkl5Bo3dNx+0cHNedg66UhPefZYKdcwQvFAPfKzo5yUxcyfvOTjxst5yAZ5o8qJ25LyMTbROkRh4TwyIFDIZFZBGbZWigzaQRprN/VHLsYvSS51oA32NtJoebQRmbiQaQdGjf9JciwfZVMHdoy7beQhL/2WS4bl0TEzAiIdmbHJdYWxyNiGcLM0ix4xxtE97AEkJP7ILDLJx/hGV7gpoxMsQ5IPPcIGoWtRUk4e+srsFWVhm8zukJZ3EMVv5lZHysLuUBb50B3koc/oLXJIy4YMyse+2Lk4FiY3Wh9u7MgFE9qA7kblUh5yKY808Q2ZlEka8ImWzW/aaDYU3LJ5OUw29pFAW9oUlWfXdSweAZGOemLIQEQBojtkIol0mGjyRPPZf65Hf1v66HnKiaeJ/8+Uz/JG5UXTZjufKZ21mzpEt/j/fGTn244k2dGy7XcmeZnOWz4d80dApCN/rDKlZDyaHpmOcpNjRp5EOkxONF98TPM/aSskD3JMvtUvKj/628q09PY/09HSJcm1cqN5LX30XPR3PtcNa9Lm2nLJy5Vf13MjINKRG6OMKRigDOhcpCOjAF0QAhWGgEhHaTosH9JRmpIlVQg0LAIiHUXgbaSDpyV4TwaBXax3Q0S0CYE0IiDSUZpeZXmAmC+eZmM5A5y1CYE0IiDSUUSvmiuO9UKCwIjOJs5DpKMIUJW1rBEQ6ShN94ArAeM8/okNEekoDc6S2vgIiHQU2QcQD4KhCLhiJ3iJc9qEQBoREOkoTa8yUSFwk7cLE4StiUtpcJbUxkdApCNAH5jHQ2QjAJgSUdYIiHSUrntkR0qHrSSXDwIiHeXTF6qJECh7BEQ6yr6LVEEhUNYIiHSUdfeockKgvBAQ6Siv/lBthEClISDSUWk9pvoKgUZEQKSjEcFX0UIgBQiIdKSgE9UEIdBQCIh0NBTSKkcIpBMBkY509qtaJQRKgoBIR0lglVAhUDUIiHRUTVeroUKgeAREOorHUBKEQDUjINJRzb2vtguBeiIg0lFPwJRcCAiB2RAQ6ZgNDv0RAkLAEOC9Ebykii+Z2s43Qvg6aPv27V1NTY3/VLhdsyN59M4aQ1FHISAEogiIdETR0G8hIATqEIA84NnguyCQDXbelsln1du1a+eaNm3q+BS4XbMjefRGzToY9UMICIEIAiIdETD0UwgIgf8hMGbMGHfjjTe6Aw880B1wwAF+32+//dzOO+/sWrZs6UkHHymzaxxJ26NHD/fjjz/K2/E/KPVLCAiB/0NApENDQQgIgUQEzKvx/vvvu8GDB/v93Xffdc8++6xbeumlPekYMGBA3TXSkPa7775zkyZNEulIRFUnhUB1IyDSUd39r9YLgYwIKKYjIzS6IASEQIEIiHQUCJyyCYFqREBPr1Rjr6vNQiAcAiId4bCUJCGQegREOlLfxWqgECgpAiIdJYVXwoVAuhAQ6UhXf6o1QqChERDpaGjEVZ4QqGAERDoquPNUdSFQBgiIdJRBJ6gKQqBSEBDpqJSeUj2FQHkiINJRnv2iWgmBskRApKMsu0WVEgIVg4BIR8V0lSoqBBofAZGOxu8D1UAIVDICIh2V3HuquxBoYAREOhoYcBUnBFKGgEhHyjpUzRECpURApKOU6Eq2EEg/AiId6e9jtVAIBENApCMYlBIkBKoSAZGOqux2NVoIFIaASEdhuCmXEBAC/yIg0qGRIASEQN4IiHTkDZUSCgEhkICASEcCKDolBIRAMgIiHcm46KwQEAL5ISDSkR9OSiUEhIBzTqRDw0AICIFiEBDpKAY95RUCVYaASEeVdbiaKwQCIyDSERhQiRMCaUZApCPNvau2CYHSIyDSUXqMVYIQSA0CIh2p6Uo1RAg0CgIiHY0CuwoVAuWPwKxZs9zMmTPdjBkzfCwHhGPq1Klu2LBhrn379q6mpsaNHz++7hrXSctOXm1CQAgIgTgCIh1xRPRfCAgBjwCEY/r06Z5oTJkyxbFPnDjRDRkyxLVt29Y1bdrU/f333/68XYeUkIe8Ih4aSEJACMQREOmII6L/QkAIeARGjRrlTj31VNexY0e32mqr+X3llVd2HTp0cM2bN/ekY7nllqu7RhrSHnfccZ6YiHRoIAkBIRBHQKQjjoj+CwEh4BHAW8GSybRp07y3Ay/GpEmT3NChQ2fzdHDedtKap0MwCgEhIATiCIh0xBHRfyEgBDwCFtNhcR3EakAqhg8f7mpra+tiOiyOgyNptbSiASQEhEAmBEQ6MiGj80JACMyBgJ5emQMSnRACQqAeCIh01AMsJRUC1Y6ASEe1jwC1XwgUh4BIR3H4KbcQqCoERDqqqrvVWCEQHAGRjuCQSqAQSC8CIh3p7Vu1TAg0BAIiHQ2BssoQAilBQKQjJR2pZgiBRkJApKORgFexQqASERDpqMReU52FQPkgINJRPn2hmgiBskdApKPsu0gVFAJljYBIR1l3jyonBMoLAZGO8uoP1UYIVBoCIh2V1mOqrxBoRAREOhoRfBUtBFKAQIOSDn2LIQUjRk2oagREOqq6+9X4lCLAvbmh7s8lJx3WGF6RzJco+Sol32aw86H7UHJdRWJbqnEQWpFsfJVKbqlwCCW31KTD8A1VX5NTCrmlkEl9JfffXqtEHGy8hTqWAoOoTO7Lf/75p783o9t8wqDUW0lIB42y7zXQkHHjxrnPP//cPf744+7FF190//zzj6OxX3/9dVB2RbkTJkxwP/zwQzC51kFjx451v/32W1C5YPTjjz/6OlNOiM2w/+abb4J+AwO5fNZ8xIgRwTCgvWAQGluTO3LkSI9tCFxNBvVl3HIMuYEt4zakXPrs999/d7/++muwPisV6aCu7KXSh2+//bak+kDdQ2zIKYU+INf0IVRdaS+ysDXY85AbHxbE1oTWhz/++MPrQ2i5fJF5/Pjxwev73XffBR239BHYMhbAgN8vv/yye/TRR93HH3/sCQg6Tn9yPeRYsfERnHRQSSrMVydHjx7tXnrpJXfZZZe53Xff3W2wwQbuqaee8qyK6wceeGCwwUq5gPTVV1+5iy66yP+2RhZztPY888wz7oknnggml7rSuVdddZX74osvgskFezxJhx9+uJcfatAgl5stfcnvUHLBAGyffPJJj0EouWBw5ZVXemxDyWQcIfeQQw7x2BYzriwvdWPHcF988cVB5TLGnn/+effYY48Fk1tK0oHsa665xk9QGGMhNjCgz4488kh/5H+IDTn0GfpAvUPJpd3PPvustzUh9QxZV199tfvss8+C6hlyjzjiCP8hwFB6hhxutpdeemlQufTRCy+84Ce/jIkQ9UUGGNxwww3u008/9WMhlFzG1XHHHefHbaixYNheccUVvq6sPrzyyituo402cjvssIO/d2IzICVcC1VuVOeKJh00gs6kcnQkZIIBc++997pjjjnGrbfeeq5FixZu4YUXdieeeKKfyZAehrXMMsv4fNEKFfrbOn/QoEGe4FCfEBt1pfNvvvlmTxBCyUUOX+w8+OCD3VtvvRXMaFFX+qBDhw5ePvUPsdG377zzjttnn32CGlkwuOmmm7xBBJMQCkt7kQupffvtt4MaWbBt166dlx8CV9Of9957z+2xxx5eh0LJBc/bb7/dYWDovxAb44sZKOOrWbNm3vsVQi7jlDoeeuih7s033/RjLJRcxsIKK6zg9SKk/r777rteH6h3SLm33HKLtzVgHUp/kQVZBltkhtIz5C633HJu8uTJwWRStw8++MDtvffe/sYXoq7IoI/uuusuPxlBj0PJBYOjjz7avf76694uhJLLuOrYsaMft/wOJRds999/f19X5OLBP/vss91CCy3kFllkEbfmmmt6ItmzZ0/35Zdf+r61MR5i7BRFOgDBjAVLJgzo8847z22//fauffv2rmnTpm6++eZzTZo08eQDrwcGgDyQjqWXXjqYcaEuDKqBAwe63XbbLZgRsPZxY8QrEdK4gMVBBx3kSUcouSgADLUUpANChyFgAIJLiA0MSkE6MCoHHHBAHaELobC0F2zbtm3rDUGI9psOQTrwBoJHiM30AdJx+eWXVxTpeOONN4LZBfSKsbD88sv7vkM/QmzINdJBn4XUX0hHjx49gpJ72s0EB2ypayh9wBZAOrDnoWQihxvjXnvtFZx03HnnnSUhHUcddVRJSMdqq63mMQDnEPgi4/333/ekA71gXLAzOcPbwURinnnm8fds7Nw222zjzjrrLO8NIUwihO2vF+mgwuwMWgqn0iyhEKtx2GGHuXXWWccttthibt5553Vzzz23m2uuuTzpgD2df/75fr2ImxU7a9hLLbVUMONCvQy8XXfdNZhcays3RgxBSOMCfpCOAQMGBJNLv3BjrK2t9f0Tqr7IhdCVgnTceOON3tNB/4UiM2ALmzcvEuMjxAa2bdq0CU46uIFBlkORDnAEz9tuu82TjlBykVkqTwd1ZDbOjZHxFmJj/DMWQpMOcMDzhz6EJh14VbE1YBBKH5BVKtLBBCcU6UBPaTM3xj333DOYB8XuW5AOPH/ocQibgAywhXS89tprfqyFkAsGjCsjHfwOJRds99tvP19XxjFyecDj+uuvd61atfKkg/s3O/fyli1beu8Hk7jevXv71Qrwo93oF3WtT93qTTooBFca65koxqabbuqWXXbZOoZkZAPCwV5TU+PZEkbVKocMIx1UnAoXuyMbAGFsRjqKlUl+6koduTHa7COEXOqKMWQJANJhnV+sbOpK/0RJR7Eyyc+gh3Qw+zAjG0IuGIAtXiQwsDFSrGyUAtJhhC6kXCMdxdaR/NSLMWakAzxCyQXPKOkIIReZBLwyvpgVEbgdQi4YMK6ipCOEXOrLWIB0oBeh7A1yjXTQZ/wPUV/qFyUd4BJKLqSDJQBkhtIH6mukI5RM5ERJRwi5yKCPoqQjlFwwIGbISEcouegDpINxy+9QcgcPHuxJhxEH5DImiC1kiZeVCbwddg/nns5/7uWsTmy44Ybuwgsv9PFBkE0b+/lOEvImHSgWSyjMHAluYY0UDwZLKFQoTjaswrCkU0891Tdo6NChjn3IkCF+rWjRRRd1RJXb+WKOyCSWBK/LFlts4X8XI8/yIpM6nnvuua5bt25B5ULcdtppJ/fII48Ek0tdCfhs3bq1J4bU39pSzBG5YLv11lt7PMC7GHmWFwzA9vTTT/cYhJILBjvuuKPHFpkh5S6xxBIeW2tDMUerG4G0W265ZVC59P0FF1zg9Q+ci6mn5UUmRA7jg3FizdeuFXNELnXcZZdd3MMPPxzMLiCXsUB9OYayN8ilz3A/U2/+F9N+y0v9WKLG1vA71LhFFtg+9NBDQfUMuWBLAH+ouiKnT58+3taEkotM+oiHDE477TQ/FkLUFxlgwM0aLwBjIZRcZBGmwLgNKRdsCYFApo0x6kw5kAlWK6Kkw+7lRj7Qe2I0IZuscBCI+tdff3liBAHJteVNOgB0q622ykkyrIJ2xD1DJSEnMCXbOUe8R/y8XS/kiCzkJpVXiDzLUwq5yIzKtbKKPUZl8rtYeZbf5HKsFLmhxxdYlGLcIhdMQ9fX+iykPphM6ophQraNkWKPyDb5HIuVZ/lNZilwCCmT+pairnG5hkuII/VlLIQcB6WuL3UNWV8wsH7jGALXOAalkGv1jtYXXLI5Eey+ztFICHI23nhjd9999+UVWJ436fjvf//rI1qJ3OdpFKtctBLx31SKBi255JI+2AjvCDuuThjcAgssMNt5u17IEZkENPFEDB4YfhciJ57H5NIGZrih5CIHpoi3h+UpyomXXch/5OL6bt68uZcfSi51pZ7UlzJCygVXGyMh5TIOQmJLf4At4xY8CumfpDy0mSUb9CqUXGTST3i8Fl988WBykUmAGRhws0GPk9pU33PUl7Yzy0KHKae+MpLSI9f0gWMoucgxfaDelJNUfn3PIRd9MFsTUi5eZ7ANJZO2Ud8FF1zQj4NQcpHDGEN/6bOQcokjRB9CygUDG7ch9RdZeBSoa0i52BrsODKpe3SMYoe5Zyd5Ouz+zn2dHQ5A/egrYhP79evnlzKDeTpYt2L9hue8cf917tzZB4JSQauEVcqOnKeDcWnxUhaWaNhZoyJwhWvItPPFHFmfQhZBaLjVQ8mlrsSfXHvttf658VBykcN6OI+gvvrqqx6TYtpveakrL6nBICKf+tu1Yo7I5ekk4mX4HUoudQRb3ncAJvRjMfW0vGBAkJ9hG1Iu7mTqbWUVc6ReYMmyJUttIeWCJ/EyvP+DPsu3ntQpukfzIZOlAAwNMxz0OHq90N+mZ8Th9O/fv171zVYmchkLTJY4Uv9s6fO9hhyWmQj+pc9Cyr3uuuu8rQmpZ8gieBBswSSUPiCXscCTDSFk2rgjfgxbw5J+KLm0m3iZSy65xI+FUHLBgFgkXrLFWAglF1krrriirytlhJILtgTpmj4gl50+JJgU4sEKhd3H7Wj3efSeNJ06dfLL4sTfUFeWVogPybXl7emwYBPIB51HBDvuFCJa11hjDT9LY+ZDxaySHGFDBJ4w2MlLwApHGswszIISOV/MToORhfFm7TKUXOqKIeLlL0Q9h5KLHHAEP4vWL6b9lpe6YgAxssg3zO16oUcGJUG6DFbKCCmXgc6LvMCEfiy0jtF8tB0jC1GirqHkgi2EDvnR8gr9Tb2oH48jY2TBuVBZ0XymDzx+yUuW8pFrdaEf6GOO8T7h//Dhw/3MlgkHehwtt9DfYEAdmTFZQF6hsqL5kEtfMauj76h/9Hqhv5Fjxpt6h5QLUcTWhNQzZBG0DrYh9QG5zMTtplMontF8jEN7bw03W/5Hrxfy2/SBR8htghNKLhjwgjRiGxhroeQyrlZZZRU/bvkdSi7YMtmlrtQduRwJZt92221ne/qUezj3dEgI3nMCW5nMEZDL5AMZNvYt0DUY6YgKIpqaAhi8vGaZpZczzjjDB/4wC6SCti4EEcEFQ/COvY6ZvAwm0tLgEBt1YjBiCPSejn/f08FAAusQG31dqvd0YGR5WyL9Rz+G2Gh7tb+nA92yp1fov6Qt+mQE+PMIPESNmxNPOnz00Ufem2HjCJmlemSWOvJyMCPhSfWt7znaxFjARW+Gu74yktIj116WZ0Y3KV19z4GvPb3Cb8O9vnLi6ZFVCY/MUm/GJLNnnpTjphbCJiCDPos+vRJKLtiW4j0djCt7ZBbdCFXfpEdmefU+kxOWXbh32869HK/G5ptv7rp27erfcMzLxKgPeBay5e3piAsHABSCgqkAJILXwMIkeQU33o/555/fr/tCPFZffXXXt29fr/jkE+n49xHBUr4cTKSjul8OhjHMRjrQYdIQxc53F3hSgBve3Xff7b2Y99xzj7vjjjv8a9QhGugt6UU6nLd7Ih3/fhbAvEghbooiHf/eacGyoUgH92+WoXnPlsVzcO9eddVVPVHFJjD54J5tZANbUGh/F0w6kkgIBIQbHR9t4vsBvBCMJ16I3cDbgQvq+++/98YLBltpr0G32Xi87YX8N7LG7MNe1V2InHgebgr0AQFCDFoGR4iNwWZGljJCymVQ880NMCl0IMfbSNtL9Rp0gieRH2KjvWDJs/Oleg06S1f0X3Qzo4ZXg9cdMwaJ1WJiwJIJ6fEMDBs2zPXq1cs/ekxcFudLSTp4BM/eWxOtb6G/wZa+IlgOvWCMhdiQgzt633339ZiE0gfk3nrrrbO9tyZEfdFZe8U8dQ2lZ8g1L1IomcgpxWvQaTevQed9S4yFEPVFBhjwGnQ8dIy1UHLRtYZ4Dfovv/ziTjrpJP8adO7VvHure/fu/jtpLKWahzBEuxjLwUgHwqgUHYviABifzMWVY99hIfj0wQcf9IyJTufbLKGU1crmuWNeNBVSLu3h67h8mCyUXOQwWHnTKc9Hh5Jr2Hfp0sXLDzVQkMtz7gR98juUXDDgI0yQVDAIKZdlG7ANJZMxzrg+/vjjPbYhbgamNzwnD6kFjxAbbQZPgtuefvrp2W62XKMcbu64m1nj/emnn9wJJ5zg14+5Rhp2+hqSQWwIN1n0thSkw8qiHDwulBtiMz3DqNJ3ofQMOfQZ+gBeIeXyuQhsTUg9QxbkHmypK3iH2JDLN7VC3WypE3VjcspEhD4LVVfaTWwhxDqUXOqGXDz8vLPGdKdYbJELtrzjirqGGguGLXF01JXJP7aXj7ESDMsEBD1nuYU+pdyQ4wVcgpKOKNDWGTSMICNmTLZOTEQy50N+gt4GK8FiP//8c7CBau3g5SeQKP6H2EzumDFjvKEPKZeBYp8uDiWXgQe21DfkIEQW2LKHqiv9g1wYPHUOKRdsS/EJepSfcUu9Q220m6dL8FBE5fIbo46BIU4HtymxHBg4ZjW00TZkQDR4qRTGCXnMfggeDPnBN8qhXsR9UZ9QfWZy0QfaFVIufcYYo94h5UZtTUi5oW0NY4S2Q0KjY8bGTjFHxiH6EFIuWPKEBnaceofakEucA+M2pFxksWoABiHlMm7NjmMf8dBwb2ZSaffmpPJoJ+fjY5L/di0pXxznkpEOKyhaIWNWpvzxylueYo5WXjEykvKWSm5SWeV6rhT9RVsl998ebygcMAzMpHn6jAkB+oghYqbDDAc9tY06cZ0ZIm+kfeCBB7yHhKejQpIOK49jqXCIllHOv0vVfuSWQnYp5Zain0qBQaWNW8MAWwDxQOeNUNi1KPacww4keV3sGjK4nmsrOenIVQFdFwJCoOEQwEDgreBV4ywZYkgwNhxx67Puz0wQ44ERYcfTAekgJovX1eN+Ja6lVKSj4dBQSUJACCSRjDgq2ABel7DDDju4zz//vM5ukBevKfFoBKISTpFrE+nIhZCuC4EUIQDBwGXLcgkR6fxnw3hAMCAXvFyPF4rhDSHehhgpAsLPPPNMv7RUiuWVFEGspgiBVCGAbWASQvwXD39E36nEchWPC/OoLU+6sTSYaxPpyIWQrguBFCEAyWANHk8Hbxc20kET+Q3xYKmF4FKICY/PQkQI6iMAjzVfYlp4TFKejhQNDDVFCGRBAOLBZINXX/DyTX4TK8ZL7HgyjPd0ESeCRyTXJtKRCyFdFwIpQgDjQdAohAJiESUd1kzScJ4lF0gIRIP3ffDGRYxKKZ5esbJ1FAJCoDwRwKvB21x5BxdeDQLR1113Xb8ky1Oj+T7BJNJRnv2rWgmBkiAAoSB49LHHHvPLJ5AKzsU3Ix5cZxmG9xsQ3Y5hEemIo6X/QiD9CGALmKisueaa/ttrvKV055139nEcTEaYpOSziXTkg5LSCIEUIYAXg0fkWKPF68F/SIaRD/vNeT5zwHt2+vTp45ddMDwiHSkaDGqKEMgTAewBjzHzPh8++sYH31hyZRJjtiMfUSId+aCkNEIgRQhgICATeDsgFKzPRl8ExIyFwDFeGPbII4+4+++/3wefYnREOlI0ENQUIVAPBNB9PpnAl6D5kCsf1Pziiy/yiuOIFiPSEUVDv4VAFSAA6YBAQCoeffRR/1Zc3hTMF5r5BgsvDOOdHLyOm4BTXuwHESGfSEcVDBA1UQjEEED3eQEaT7DxTRbiOtZaay2/RMuL3Lie7ybSkS9SSicEUoSAEQ/eycF3X3jbKJ4PSAZE5Pnnn/frt3hEIChmVEQ6UjQI1BQhkAcC6D4xGzw6D+Hgi/F8roAv4PLUir1J2WxELpEiHbkQ0nUhkFIEMBLseDFYl+WRN7wfvNrb3lQaJRzAINKR0sGgZgmBBASwD+h87969PeFgaYWAcr47xBuMievgY5Esx2Ir8tlEOvJBSWmEQIoRMPKRdIw3W6Qjjoj+C4F0IoA9gEgQdM5Xy/lg6yeffOK/z0QMGB+54309fDwOj6ieXknnOFCrhECDIYDRwZBANJjJsLN+S4wHr0Gvqanx7/Cwa6Rjt/iPBquoChICQiA4Aug/Ho3111/ftWnTxr355pv+CTYjFxAQXhTGG4zr82VoeTqCd5UECoF0IMBLwQYMGOBdqwSasvMkCzObJZZYwkew9+rVy5+367hhmRmF/CJzOtBUK4RAZSEA6eA7S8R6EVxOXEd0CYXJBvFgPOFmX8PNp4UiHfmgpDRCoAoR4DXHBJWed9557txzz/V79+7dXZcuXVyrVq38s/rdunWr/RXFrwAAIABJREFUu0Ya0kJMiA/BaGkTAkKgchGAZGTyYEY9oaTJV99FOip3PKjmQqCkCESNii2hZFteIY2WV0raJRIuBCoeAZGOiu9CNUAIlAYBSAc7sx3bIRZ88K22ttbHdPCUi12zY74zntLUWlKFgBAoZwREOsq5d1Q3IVBmCODJ0GvQy6xTVB0hUEEIiHRUUGepqkKgsREQ6WjsHlD5QqCyERDpqOz+U+2FQIMiINLRoHCrMCGQOgREOlLXpWqQECgdAiIdpcNWkoVANSAg0lENvaw2CoFACIh0BAJSYoRAlSIg0lGlHa9mC4FCEBDpKAQ15RECQsAQEOkwJHQUAkIgJwIiHTkhUgIhIASyICDSkQUcXRICQmB2BEQ6ZsdD/4SAEKgfAiId9cNLqYVAVSMg0lHV3a/GC4GiERDpKBpCCRAC1YOASEf19LVaKgRKgYBIRylQlUwhkFIERDpS2rFqlhBoIAREOhoIaBUjBNKAgEhHGnpRbRACjYeASEfjYa+ShUDFISDSUXFdpgoLgbJCQKSjrLpDlREC5Y2ASEd5949qJwTKHQGRjnLvIdVPCJQRAiIdZdQZqooQqEAERDoqsNNUZSHQWAiIdDQW8ipXCKQDAZGOdPSjWiEEGgQBkY4GgVmFCIHUIiDSkdquVcOEQHEIzJw5082YMcNBNKZPn+73KVOmuGHDhrn27du7mpoa988//9RdIw1pyTNr1qziClduISAEUomASEcqu1WNEgLFIQBp+O2331yvXr3ciSee6Lp06eL3448/3h188MGuZcuWrkmTJu6oo46qu0Ya0t56663up59+EvEorguUWwikEgGRjlR2qxolBIpHYMKECW7w4MGub9++rk+fPn5/8skn3Z133ulat27tmjZt6h5++OG6a08//bRjHzRokBs3bpxIR/FdIAlCIHUIiHSkrkvVICEQBgG8HSyx2DILyybTpk1zw4cPr1teGT9+vF9O4ZrtpNfySpg+kBQhkDYERDrS1qNqjxAIiADkIboTt/HDDz+42tpa16xZM4c3JHrdfgesgkQJASGQIgREOlLUmWqKECg1Anp6pdQIS74QSDcCIh0p7l+bdXLUJgRCICDSEQLF8pYhu1He/VPptRPpqPQezFB/1tX/+usv98knn7gff/wxlWvs2Ywj15JiC7LlyQClTkcQEOmIgJHCn+jH0KFD3UcffeQmT56cwha6OZYDaWQme5EEQH3SJuWv9nMiHSkcASgFa+88RbDzzju7W265xd+A09RU2jhp0iQ3ZMgQ/3gmN0M2MwgjR450X3/9tZs6dWpds7kGEfvuu+/846AEPmqrHwIiHfXDq5JSox/oxDnnnOO23XZbhw5xLk0b7Rk7dqz79ttv3e+//+7bSzA0/0eNGuXtRbY2E0jN4+DYED2hVdjIEOkoDLeyzoXScLPt16+ff7SxW7duXrnKsdLUld2ekMim8NH6kx7Csccee7gLL7zQ/f3333VyuDGefvrpbosttvAGwvJhUPv37+922WUXd99997mJEyfaJR3zRECkI0+gKjAZusdkZe+993YtWrRw33zzTVlPVqivPTFVH7vx4IMPuu23397x+Dck4tNPP3WHHHKIO+2007xNSfKQ0p2cBxPeRcP7afAiZ0pbgd3fYFUW6WgwqBuuIBQQ0vH888+7JZdc0iuTeQIarhb5lYTSYjjuuusud9VVV+VNjsjz8ccfu+WWW84deuihfvZCu5GHIdl9993dwgsv7F3FZpDA4JFHHnHt2rVzl19+uZ+p5FdLpTIERDoMifQd0RNIx1577eWaN2/uPYXoUzlu1HX06NHu1FNPdZ999lnedoPxi51Zaqml/EvsWELiDbu88G7llVf2NhMMktrNed5Z06ZNG3fYYYf5fKQz+1KOOJVjnUQ6cvQKA4qBxU2Oow0yzttuIuy/He189Mg1kxE9z2+7ZuVZmZzPtMXzWF5eV/3cc8+5JZZYwitmlHSQJ7qTx/ZoWZbGZFp9+B9NZ3Wz9HaM57Pzlp4j9aKu66+/vld8CIPJTyrD8lKXDz/80D+6ySyFt2eSnvMQrl133dUtuOCCfuZicjAaDz30kDcal112mdyjBmY9jiId+YHFmLPxzzE6prlmYxJp9t+OSSXYtWg+S8c5K4Pxb3qalDaax/JZeo7o35577ulJx1dffVVX76R6WpnWNpNtaTkfrU9SOktLXWw3uVYvO2/y+c+1Z5991q2xxhrutdde8/W2fFzPtDF+r7zySj8Zu/nmm/0SLfbiuuuu894drv3xxx9eflzGr7/+6peeICzXXnutz5utrHh+/f8XAZGOLCOBAcWNCjaMK54YAgYoA5dBz5HdBh6DnvTRG2dUPOnIZzIsH2n4TX7yWnmUyW9kRtNGZcbzUEdu4hyTSAdyqDPlmFJTH9JHy7L6WPu5bvUhPeVGt7hca2c0n+Fi+chDXZmp4M7Frcv6KuesfpY2fkS+SEccldL/Z+yMGDHCdejQwb+nQ0tUc2LOuI7qMTqAzpi+oVNJdoPzcb0y6aQ3GciPbsiNlmd6WojdoIwk0kGZyLM6UqbZGdpH/dhIF7dJVp+4/lt6k4tM5Jhcy2dlWpuRT5rzzjvPk4cXXnjBfwMI+5VkmywfR+RHSQd52F566SW37rrr+rZjj6w90bwsw2y88cZu8803d6+88orHPHpdv/NDQKQjASdTMJgtbn9iA2C3uNW2224717NnT78OyGwZVx2zbDaU6uqrr/azbAZo1ICYMr733nvu6KOPdtdff33dTJtrKMsXX3zh4xO23HJLP4OnzNVWW8395z//8a7OqCIgmzwENF166aVuvfXWc8sss4xbfvnlvXuUeI7HHnvMLb744nWeDspBxo033ujrQKAl65KHH364a9u2rc8L40c26ZBNPXfccUe/jEF9WM444IAD3FtvveUVH5nsGAxwwU1J29944w3/e8UVV3RLL720b8cJJ5zgg1vNMPCxML7tsfbaa7sFFljApyOAbaeddnLHHHOMGzBgQEayRXkiHQmDt8SnGBciHZlB5maIHp999tl+Fs7YX2WVVbw7/t133/WeN8g1y3xgie6gZ2eccYbr3r174jdr0BdeQ0/8EkumjH3TO8p78cUX3ZFHHunWWWcdr0PYqc0226zuGzhWDrVGt7nRDhw40NcJ/cRuoIPEQfHUCvq30EILOfN0kIe30BIbhj0gwPTRRx91W2+9tS+Pj/+ZpxHZBLCTdsMNN/R2Bfnc0M8//3zfPkiE1Z/gTWKyWO7EFvGK/R122MHnA7sNNtjAkwSewKPd1AW8wAriO//88/u6YzewU9gN5GfawCKJdNC+I444wi277LLumWee8baVOrJxROZTTz3lFllkEXfsscf6pR1kaas/AiIdCZgxyFgvPPnkkz3ZWGmlldy+++7rBxuDG5ceT4VssskmPqAIhWCD8aP8LGm8+eabXklMPDJRGsjAmmuu6bgBEz3NeRQJpT3ppJMcZSH3wAMP9LEKKB3EASMCCbINJfj88899usUWW8wr3kEHHeQNCWwcEsF/rrHuiYJQPgaMclDYm266yS9rrL766p5MkZ7gKtLhcbjooou8waQO++23nycqEDDa17FjR2+4qDs7hAtDi1Ly4S+u0w7iLSA1/Ca+hPwYJerPWippMUh8xwPjxLIIMy3q+Pbbb3t8rM3RI3UU6Ygi0jC/GUciHclYMybff/99bxsY6507d/bEm+U/lg+5waMjjPMePXp4XUR3PvjgA3+jJcCZGyrnohs3cpYC+N4NxB7dMbtBYCNysUkER3LjhNRAdFq1auUnJCwXkJ6N/iOYmvgFJhFbbbWVz4POYZf4v+qqq/pJgJEO2gWRYsJFvAcBl+gsbcIOUm9sH2Wg0/vss4/DpiAL/ceWrbXWWt6buf/++3uvhNWfYHBsK1ghn3SQHgI1ycekCy8oNoR20HZIFphi4/joIPbJ7AZBnhCxTBvtTyId2C8whujw9I6RKORQV2w19wP6jg8akh5ctNUfAZGOGGYoPDfme++9162wwgr+JsmMm5swisUjl0Q/o9QEW6EcMH823IGQDkhCNtKBgYiSDgY1ikJgJG4+Bjxl8YppjMpuu+3mv+oJYaF+7CggyoPhwLvADIU87L/88ovDC4OyJpEObvSQA4gBRooZBvloN0pJfVAo6oOB4hEx2kYalO+UU07xBIKZEemoD0rI7IPgTRQXjw91JA95v//+e08kICx4h8CTvFwDT+IvMGh4P8DClJq6JG3kFelIQqa050Q6kvFlnPIoJqQCcsDND901vcFGQP5NP9Bd9A3dgXRAGLiB8+gm56IbpIMJAkQGzys3XtKYnmKrWBLAXqBvPMqJZwTPByQfzyP6Qnp0ctNNN/XB1NiIn3/+uU5HIUwEYGMbeMV9lHQwwdlmm228txcPBqSJ1+HTPvTViBB6zWThnXfecX/++WedbD4c2KlTJy8bWWY3IB2QJDwW1Is4DWws7WBHxyEi2Crsn9kFrjERop6cx26Ak9mwKH7R35lIB/XBzjNhY4JE26O2EK8wpIxreKsNz6hs/c4PAZGOGE4MNBQRFxo37N69e/vBjMKako8ZM8bfYFkSgGRESQc3cUgHywsMTNvIi2wUBNLBJ8LN00EarmNIbLf0KBE3cG7WHJGJHJSAtUUMC2uanDM5pMG4bLTRRomkA8Iz77zzeoOEkbO8VleTE62L1c/IEcYTd68ZQIzBWWed5d2yzJogTtZ+8nKdL5Cy/APpMe8Q7cNVC0HCiJAunw3ZIh35IBU2DWNFno45MWU8cnO3GxPLj3YjNt3BrjCRYaKQL+kgbybSQS1MdlRXqQvLFngZ0DdIgOkpkxqWTiA4TE44b3LoW3SUJdQk0oHnAr23ZSDSU350S6oPdUOvIWLkf+KJJ7zNoZ54dphsQHRYuuHRd87bBqm54IIL/AcGsX/YH8qg3ky2aMvLL7/s5cfrYjKiR+qc5OkgL/aYSSS2FvIDsaHulEkAOue5HrXbUdn6nR8CIh0xnBjM5iLFhcgsJDqY+c1gfPzxx/0NPSTpQNkoH9aO0YAQ4G1gzZMBz3IHSoMCsz7MjArXJKQH5bCN3ygra6jRmA7kc5OHdOCWJH6DmUk0r8mgnaSnPGZQLDfhOuVGj/cDzwSzM+pLfupkng6MA3mickn36quv+nVeHjdjhsMm0mGIV8aR8SDSMWdfMf65+S266KJ+IoLXg/FvtoMj5IGxj4s+JOlATymfiQbeBzwskB6WOYhRYALEdfoOm9CyZUvvCUX3yGsbv9FzJjJ4HuKeDmI4WO6wmIeofpsM2sl59B0CweSC+mDHjjvuOO8d5h051IXyIB14OljuQS71jMrlhk962nHuueeWjHRQf8q97bbb/NIz3lybONEOJkTUEa8SddJWOAIiHTHsGPTMBvASMJPnxh/fSIOBYUYQX16pj6cjapgwALhIGfSsmUJmCNjE3Yl7kaUcyAfKjPHCu4GnBUWOK4EZuHvuuSeRdOBpqKmp8Wwe5Y9v5Kcc2o6S4cEg+JV1VNZOiWuh7CTSwYyFIDkwQo5tlMOSE7EpzMAwNmwiHYZQZRzpR5GOOfsKko2uEEdx5pln+nEdT8VYZ+LADTQE6eAmyeQCW8BSCXFQ6BZxE8RFELcFwTHSgU5zjTo+/PDD/sYfvcHzmzriQUW/46SD5RWWa1g6gTBE9Zu28p8JGdfxWnTt2tUv31ImdsxiRSAR1AUZTD4gRyzZYB8YX1G5Zh8IjiXWAtvHdfKH9HRY/Vmmpv3EpECWKAcc6DPajt3CtmkrHAGRjhh2DChcawRJcdPnOwTxjTQ8MgXzzZd0oNAoFLJZn2R5BdKB4iGPZRcCqXDPQnaIl7jkkku88qJczKCMdGBoWLPFMGBokBHdUEqICN4YPCTxQFLcnLhPk54OIS+KzjWMBfXBgMH8L774YnfNNde4K664IpF0WCApbYwbD/6LdER7qTJ/048iHXP2Hd7J22+/3cdd4E1Ah+Ibek4sBDfQ+pAO9J2bOLpMTAdysCfMwCmLJ9fwTjDh4TFSZBM3RYxE1NNBPiYNeD9ZRokTB2SShqdA8GQmkQ5sATFg8bzYDQgHhIJy8RJjP/B+8mQKT8yxpIPcJNKRicw0NOmAPOIJBiNbWuczEhYbRxvRAW2FIyDSEcMOpYNQwHZREmIn4htpiKDmUbH6kA5YM14A1nWNdHAOtygR2HhOiKAmUpzlFWJHWD9EYQkiM9IBoeCFOJAOPBAoSnTDADAjuPvuu7OSDp4iiW8YE3uqhPZRJq5RlnCoDy5HjFHS8gqkA9ct7weJK6ZIRxzpyvwv0pHcb9yM8B4w/vFUJpEOzrFEkMnTwQ0d72J0EoEuQy4g/FHSQT9wU0RHzUvALJy4EXSUR0B54iNKOrA1eFDxdHDjRwZEwzYjHZCGTJ4OSAuBoKSlbrZR5y+//NJPqJioYOewEwSh89Qddgxc8NgmkQ5eE8CScZzMNCTpoC2UTz/iJeJpPoJyIUTgzMQwjpm1X8f8ERDpiGGFYrLMQTAk7kAilaObMXoUnuDHpJgOlJqZBAPUNlNoPAWwaJZF8HSgVNz8WZbA00HkNvkY/NQFgoGhgmlDALgG6SHuBEXAbYk3JmoArI64eZNiOszTkUQ6kI9HAhKEESTq3OpDnSAzr7/+ukiHdWyVHRkL8nTM2enoKnoDMeBmRWxEVCfJgS4TNJkppoObPTdu9Mw27AYTECYX6DLvscBmYAOY8GCDWEZFNnUgL31kyxZR0sF5PCDkwQNBeuTbxm/6NlNMB8srmUgH9XnggQd8nBlB+FE7RrnUGVwI/AxFOljuDRVIahjQZ+DNI7w8hYf9x/ZC7CBPYBTvV8urY34IiHTEcEJBmFnAyom05lE1XKecNyJAcBSKxWw/Sjq4IUMMMA7EQaBo5GFHKfEWsObKOymipIOlDGYAxEiY+4485MfrgNeFwC4jHdSFR1AxYDyjT2Q18q0sjAleCTwqEKBMyyuZSAekApctBoY1zqhcXL20gZlQPKajEE8H9cZrgyEkVgQMKS+XcpNGT6/EBm/gv/QBODPeGFPs3NwYe3y/hrggdMOu2ZE81WaYaTNeUZ7wIAYLbx9j2+wGR7wP2Ib40yv2bgvICAGgcbtBjAQBnOhylHSgh9gNZubkAX/qwW+WVu3FX8R02DUmVNyouYlSn3hZLN/Qt0mBpLlIB55VPLJ4cfG+Uhd2ymaSRBuQG4J0gCcvTcSzRFvNbuayG+Rj+Yl64lXG3sQ36suyNUvaEBvKIBaHMrQVj4BIRwxDBi2DDlcaxoMX0PDWTJZAeNKDmQA3VwgJCh8lHSgwQag8VcJAJe6CPBhmZjCsFTITwlgb6cAwQRBg1bW1tV4hmSWQB1LAjZ86QHCMdFBHlBrlRXkwIHhWLB/uT+JCUBpbizTjRx1zeTrIT3AXxpEnUWD4tAOPCjMuysQzE4J0gDUzC+SBDe2gbewYhEw3L4yZSEds8Ab8azM+yDMElDV6dnQCDyA3Lp6AIj7JrnEkLTcDZtqZ+i5gNctGFG1lzLL+j22AQLNMywQG3eGmi/cQ3NAfi+kgH+OcGC50AO8itsLsBk98sfSArUGX77jjDk9m0Bu+/8E55EJ4sBksrfDeG94ngf5bICnpsRuQRmLVIDDouL3fA/vGo6z0L7arvqQD+4JXFLkEYWI/WZrAJhF0j40iliUU6UD/8RpjN3mqhomgYYZNzbTlQzqQjR3H7lJf7BKTL2yntuIREOmIYYgRQDmZ0cP6MaLcfCEErFUyEDGuPAHC+zaipIMBjQHhlcYoGOSDtUEYPkdePMNSCZ4LAjNRdPLAoPGoIBslwkNBkCrLJ7wSmBkEioyhQiGoI/lYvyUwjWfxKYu3mfLSMmYqvIgH0oMMor7JR7tQSF5RjCJhJOKbtR3vCe3DQFIfbjTUj5sMr1dn1oOnhXqQB6PGujNpUFjORzf+Q6IIUoNwMVtmo17UCSJH22kHZeFqZgmLtiZtlInBBBe8TvbsvNWFIDb6jVmkyaAOvHEVjDBYGGltmRGgX7iJQbSZFbPTb7z3Abc9HjtudnaNxzXZIdEYaMM9cwnpuUJbGXvc/Fi6QO8Yy+gxeon9gIgQ6Bn1dJAPHYDos1SKDqCbjGvGKfl4XJOnU9BznpBB18hDvAT2gTzoKbqJruLhwAbhrcVW8cpzxj5lcaSPeOEg+ehH9A3ZlEUeiwWBONImduIzqB96ZQGm0f4lDQSDJV3kstN26oNcPAY8mYd9IN6DetAGxhOPETO54vUEnIvKZQzy+nGw4HMPduOnPOJfsCfgTDuwV5At7GKmjXIJyiV+Dvtu8qLpkY1twAbhmWJyhV0nr7biERDpyIAhg58BicJCFHiWnJkBN1YCnlgS4HsF0UBSMyDMeJix89pcbszMLDAaBGRiKO6//34/E4BsWB5mBTz1gVuPPCg+syYMBMqMwrJmjEKQx/JxjVkFJIY64nLl/Rss5aA43FyZaZCPHcWxR+wwkPENuaSjDbQR44Vc1mNxMaLo1j6IiRkJjszKIEGkQUZ04z9twTvD56EhCWzR8jCotBucIUrMLrietCGPdXOCbMEakmiyaCMvHCNq3spBBnWEqGB0WNJi1qctOwJgGt254dGP3Eh4AoqxEL1uv7NLTe9VxhiTCQg/HkV0h4kJyyK8jAud5gZpng5DgnyQO67zFAqeSnQBLys3UUgJ1/DukRacOXLthhtu8I+PUhZlcpNm3HMTZ8KCXMtDPnQHYkidsF/YG/JByCGZ6D16zG9Lj7cTDwqEgbycj2+co+1MFpgIEBfHt1DQa9qO7cMe2XepqId5WLCJeDw5F5WNLhNYTxuxL4w/22gTtgY9pw2QM2JWsImZNuRDmvESEa8RlWd5KB/Z2FXsNuVSD/JqKx4BkY4MGNrAg2nDcm2HiEAWiHuIkw5EkY8BSjrykJYj/znPIEdm1AjE81hZpLM85LM8VuV4PsriRkpZpLe8HEnLjuLw3+pgsqJH0lEWcpAXbUOhcq2ulM0eVWC7ZpjRfms715I2y2O4mDzOZ2pjpjxJ8nUuGQH6jpsYnjtIB2RP2/8QYIyhO4xfdMd0mbGNHjF5iD4yazltbJLP8nA0XWac21gnre2my9E8yLD00TzxsrLpd1T/4mXF7ZDJ5Rhtu9kNcKAe1NWOJpOjtSFJLtc5b3lNzykrmtfaT5tIm2mLyiNdVF40j6UzLEnHOW3FIyDSUQCGDES8DkR5Rz0dBYhSFiFQUQhgqEU6Cusy7Abv8kgiHYVJVC4hUHkIiHQU0GciHQWApiypQECko/BuFOkoHDvlTA8CIh0F9CUuQmICCNLiaY6k2IgCxCqLECh7BEQ6Cu8i7AZPnxDoTcwESwHahEC1ISDSUUCPY3gJSOQpDAKjCLLSJgSqAQGRjsJ7GewIFifgkYBMSIg2IVBtCIh0FNDjBBXxZAjvrSAiWzOWAkBUlopEQKSj8G7DbvBUCa8rZ6JCgKQ2IVBtCIh0FNDjRDFjQGxXVHMBICpLRSIg0lF4t8luFI6dcqYHAZGO9PSlWiIESo6ASEfJIVYBQiDVCIh0pLp71TghEBYBkY6weEqaEKg2BEQ6qq3H1V4hUAQCIh1FgKesQkAIOJEODQIhIATyRkCkI2+olFAICIEEBEQ6EkDRKSEgBJIREOlIxkVnhYAQyA8BkY78cFIqISAEnPPftdBr0DUUhIAQKBQBkY5CkVM+IVCFCMjTUYWdriYLgYAIiHQEBFOihEDaERDpSHsPq31CoLQIiHSUFl9JFwKpQkCkI1XdqcYIgQZHQKSjwSFXgUKgchEQ6ajcvlPNhUA5ICDSUQ69oDoIgTJGgNd3255EOuxa9FjGzVHVhIAQaEQERDoaEXwVLQTKGQG+gjp27Fg3cuRIxxMr7MOGDXODBg1ybdq0cTU1Ne6bb76pu0Y6dj5mNm3atHJumuomBIRAIyEg0tFIwKtYIVDOCOC1GDVqlOvevbtbf/313Xrrref3ddZZx3Xs2NEttNBCrkmTJm6NNdaou9apUyef9uSTT/ZfYEaGNiEgBIRAFAGRjiga+i0EhEAdAnx6HW/HlClT3OTJk/0+YcIEN2TIENe2bVvXtGlT99dff9VdIw1p8XLwBWaRjjoo9UMICIH/Q0CkQ0NBCAiBrAhEYzUU05EVKl0UAkIgBwIiHTkA0mUhIAT+h0AS6fjfVf0SAkJACGRHQKQjOz66KgSEQAQBkY4IGPopBIRAvREQ6ag3ZMogBKoXAZGO6u17tVwIhEBApCMEipIhBKoEAZGOKuloNVMIlAgBkY4SASuxQiCNCIh0pLFX1SYh0HAIiHQ0HNYqSQhUPAIiHRXfhWqAEGhUBEQ6GhV+FS4EKgsBkY7K6i/VVgiUGwIiHeXWI6qPEChjBEQ6yrhzVDUhUAEIiHRUQCepikKgXBAQ6SiXnlA9hEBlIiDSUZn9ploLgUZBQKSjUWBXoUIgNQiIdKSmK9UQIVB6BEQ6So+xShACaUZApCPNvau2CYHACIh0BAZU4oRAlSEg0lFlHa7mCoFiEBDpKAY95RUCQkCkQ2NACAiBvBEQ6cgbKiUUAkIgAQGRjgRQdEoICIFkBEQ6knHRWSEgBPJDQKQjP5yUSggIAeecSIeGgRAQAsUgINJRDHrKKwSqBIFZs2Y59iTSYdfsWCWQqJlCQAgUgIBIRwGgKYsQqAYEjETMnDnT2T5t2jT3ww8/uNraWldTU+MmTJhQd83SkE+bEBACQiAJAZGOJFR0TggIAU8o3nvvPdenTx/31FNP+f3xxx93t99+u1tqqaU86ejdu3fdNUszcOBAN27cOCEoBISAEJgDAZGOOSDRCSEgBPBWjB071t13333ulFNOcV27dvX7SSed5A4//HDXsmVL16RJE3f88cfXXSMNae+88043evRovxwjJIWAEBACUQR6JWLnAAAGJUlEQVREOqJo6LcQEAJ1CMyYMcNNnz7dTZ061U2ZMsXvEydOdEOGDHFt27Z1TZs2dX///XfdNdKQljwstWiZpQ5K/RACQuD/EBDp0FAQAkIgIwIW12FHCIXFdDRr1swvwdi16DGjQF0QAkKgqhEQ6ajq7lfjhUD9EEh6eqV+EpRaCAiBakZApKOae19tFwL1RECko56AKbkQEAKzISDSMRsc+iMEhEA2BEQ6sqGja0JACORCQKQjF0K6LgSEQB0CIh11UOiHEBACBSAg0lEAaMoiBKoVAZGOau15tVsIhEFApCMMjpIiBKoCAZGOquhmNVIIlAwBkY6SQSvBQiB9CIh0pK9P1SIh0JAIiHQ0JNoqSwhUOAIiHRXegaq+EGhkBEQ6GrkDVLwQqCQERDoqqbdUVyFQfgiIdJRfn6hGQqBsEciXdPB2Um1CQAgIgTgCIh1xRPRfCAgBx3dX+FLs5MmTZ0MjH9LBN1jIyyvTtQkBISAEogiIdETR0G8hIAQ8ApMmTXL9+/d3fLr++++/9x91w3uRiXRwjY+98V2Wxx9/3L344ov6vL3GkhAQAnMgINIxByQ6IQSEAOTi1VdfdZ07d3ZHHnmk69u3r/vtt9+892LEiBGuQ4cOjg++8dVZCMcff/zhXnjhBXfccce5DTbYwPXp08eTEC2zaCwJASEQRUCkI4qGfgsBIeAR4NP0eDiOOOIIt/DCC7vVV1/ddevWzb3yyivuq6++cu3bt3c1NTWebAwaNMidffbZbp111vFp9957b5+GJRptQkAICIEoAiIdUTT0WwgIAY8AHorx48e7Xr16ucUWW8zNN998rkWLFm7DDTd0//nPf1yrVq1c06ZN3UUXXeS22mort8gii7gmTZq4li1buh49erh//vnHe0AEpxAQAkIgioBIRxQN/RYCQsAjAOlgiWXw4MFuiy228KQD4gGxgGBAOOadd15PPvB4cI2dpRW8IeTV0ooGkxAQAnEERDriiOi/EBACHgGWWIjVOOecc3z8xtxzz+3mmmuuxJ1rkI8uXbq4MWPGOPJqEwJCQAjEERDpiCOi/0JACHgE8FTw2CtBpMR0zDPPPImEAyLCteWXX94/7cJTLPJyaBAJASGQhIBIRxIqOicEhIBHgGBQHoM95JBD/PJJJk8HSy077rijGzp0qH/Hh0iHBpAQEAJJCIh0JKGic0JACHgEWCbBc3Hbbbe5pZZayiUtsXBu8cUXd5dccokek9W4EQJCICsCIh1Z4dFFIVDdCOCxwNvx0UcfuS233NIHj8a9HSytdOrUyQ0cOFBvIa3u4aLWC4GcCIh05IRICYRAdSMA8eANpaeddpp/D0fU28Hv+eef3x111FFuwoQJnqBUN1pqvRAQAtkQEOnIho6uCQEh4BEgoLRfv36uY8eOsy2x4OVo06aNe+qpp7yXQ0+taMAIASGQDQGRjmzo6JoQEAIeAZZYeA36vvvu69/RYUssvK+DZZdffvnFPyarAFINGCEgBLIhINKRDR1dEwJCwCOAB2PatGmuZ8+ernXr1nWPz/KisOuuu04BpBonQkAI5IWASEdeMCmREKhuBPBgQDyGDx/ug0Z5MynejpVWWskNGTJEAaTVPTzUeiGQNwIiHXlDpYRCoLoRgHhMnjzZnXXWWf47LMRz8AbSKVOmKIC0uoeGWi8E8kZApCNvqJRQCAgBAkp5fLZdu3b+1ejvvfeeXgamYSEEhEDeCIh05A2VEgoBIUBA6cSJE93BBx/stttuO/8lWjwgCiDV2BACQiAfBEQ68kFJaYSAEPAIENeBt+PFF190TzzxhF9aETRCQAgIgXwREOnIFymlEwJCQAgIASEgBIpCQKSjKPiUWQgIASEgBISAEMgXAZGOfJFSOiEgBISAEBACQqAoBEQ6ioJPmYWAEBACQkAICIF8ERDpyBcppRMCQkAICAEhIASKQkCkoyj4lFkICAEhIASEgBDIFwGRjnyRUjohIASEgBAQAkKgKAREOoqCT5mFgBAQAkJACAiBfBEQ6cgXKaUTAkJACAgBISAEikJApKMo+JRZCAgBISAEhIAQyBcBkY58kVI6ISAEhIAQEAJCoCgE/j9gGk0Juq76ygAAAABJRU5ErkJggg==[/img][br][br][math]G=\left(5,2\right)[/math][br][math]H=\left(-1,-5\right)[/math][br][math]I=\left(7,-4\right)[/math][br][br]In which quadrant is [math]G[/math] located?
In which quadrant is [math]H[/math] located?
In which quadrant is [math]I[/math] located?
A point has a positive [math]y[/math]-coordinate. In which quadrant could it be?
[color=#333333]Here is an image of an archery target on a coordinate plane (applet below). The scores for landing an arrow in the colored regions are:[br][/color][list][*][color=#333333]Yellow: 10 points[/color][/*][*][color=#333333]Red: 8 points[/color][/*][*][color=#333333]Blue: 6 points[/color][/*][*][color=#333333]Green: 4 points[/color][/*][*][color=#333333]White: 2 points[/color][/*][/list][color=#333333]Name the coordinates for a possible landing point to score:[br][/color][list=1][*][color=#333333]6 points[/color][/*][*][color=#333333]10 points[/color][/*][*][color=#333333]2 points[/color][/*][*][color=#333333]No points[/color][/*][*][color=#333333]4 points[/color][/*][*][color=#333333]8 points[/color][/*][/list][color=#333333][br]Type the coordinates for each point in a separate line, using parentheses. Like this:[br][img]data:image/png;base64,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[/img][/color]
Pretend you are stuck in a coordinate plane. You can only take vertical and horizontal steps that are one unit long.
How many ways are there to get from the point [math](-3,2)[/math] to [math](-1,-1)[/math] if you will only step down and to the right? Use the applet below to help you determine your answer.
How many ways are there to get from the point [math](-1,-2)[/math] to [math](4,0)[/math] if you will only step down and to the right?
Make up some more problems like this and see what patterns you notice.
IM 6.7.11 Practice: Points on the Coordinate Plane
Graph these points in the coordinate plane: (-2, 3), (2, 3), (-2, -3), (2, -3).
Connect all of the points. Describe the figure.
Write the coordinates of each point.
These three points form a horizontal line: [math]\left(-3.5,4\right)[/math], [math]\left(0,4\right)[/math], and [math]\left(6.2,4\right)[/math]. Name two additional points that fall on this line.
One night, it is [math]24°C[/math] warmer in Tucson than it was in Minneapolis. If the temperatures in Tucson and Minneapolis are opposites, what is the temperature in Tucson?
Lin ran 29 meters in 10 seconds. She ran at a constant speed.
How far did Lin run every second?
At this rate, how far can she run in 1 minute?
Noah is helping his band sell boxes of chocolate to fund a field trip. Each box contains 20 bars and each bar sells for $1.50. Complete the table for values of m.
Write an equation for the amount of money, [math]m[/math], that will be collected if [math]b[/math] boxes of chocolate bars are sold. Which is the independent variable and which is the dependent variable in your equation?
Write an equation for the number of boxes, [math]b[/math], that were sold if [math]m[/math] dollars were collected. Which is the independent variable and which is the dependent variable in your equation?