Question
The triangle sum theorem states that the sum of the angles of a triangle equal how many degrees?
- 90°
- 30°
- 150°
- 180°
Hint:
All the interior angles of the triangle are always greater than 0
and less than 180
and their um is always equal to 180
.
The correct answer is: 180°
The triangle sum theorem states that the sum of the angles of a triangle equal 180
.
Related Questions to study
is called _________.
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is called _________.
![](data:image/png;base64,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)
Do we have enough information to say these two triangles are congruent? If so, what allows us to say this?
![](data:image/png;base64,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)
Do we have enough information to say these two triangles are congruent? If so, what allows us to say this?
![](data:image/png;base64,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)
Can the HL congruence theorem be used to prove the triangles congruent? If so, write a congruence statement.
![](data:image/png;base64,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)
Can the HL congruence theorem be used to prove the triangles congruent? If so, write a congruence statement.
![](data:image/png;base64,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)
Can the HL congruence theorem be used to prove the triangles congruent? If so, write a congruence statement.
![](data:image/png;base64,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)
Can the HL congruence theorem be used to prove the triangles congruent? If so, write a congruence statement.
![](data:image/png;base64,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)
State if the two triangles are congruent. If they are, state how you know.
![](data:image/png;base64,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)
State if the two triangles are congruent. If they are, state how you know.
![](data:image/png;base64,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)
If ∆ ABC and ∆ PQR are to be congruent, then name one additional pair of corresponding parts.
![](data:image/png;base64,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)
If ∆ ABC and ∆ PQR are to be congruent, then name one additional pair of corresponding parts.
![](data:image/png;base64,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)
Complete the congruence statement: ∆ BCA =
![](data:image/png;base64,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)
Congruent triangles are triangles that have same size and shape. This suggests us that the corresponding sides are equal and corresponding angles are equal.
When two triangles are congruent, all of their corresponding sides and angles are equal.
Complete the congruence statement: ∆ BCA =
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cVa45WVWZc3uWu61w9gyoge9Y50d0J5xcqyJKX5SpvtqXmvA6tl14eaim5E03XaOOl5oLL2htT61LWUKy19sH/kYBab6Wp4bZaaFh423oA3A3KwdT1n23f9I2o4VD6+09IvF3kW9zCbu3lE9JVoGqk3ASZNzOrXsZXEhItSLcKUAuBMBkzNCkaTKqKrdsqgEA2vNGiO8BO25qNCRVgDZKqqiKYdseqFhCC2QS8vFhvTLH2ZldUFQsozlCxqmohuqb2cGexLuAikFiFIntngb8iVOtqzXsJd8AhuKUS6O+2jTNMZYu2RwU7R10wKLRcCCiz2JM4pFRFA93cZuzQk1u2x4JyC+hmUt+QR1TnnGwiqEXTuJ5zgTbzqlu5XmwmbcYL1UrROME9oykvhdYszq2cqQm/AsMwSALSPcoea83F4rHuZxZeW0HZgnJQsYz8i+FuaxnzGkob1MJW1b0MvEwV1N/4R3ai/EKrD6QT3Ac/vZ3QpbYq9RwN3uMSs/SsBx8f1VJRf95fAA2Lo2i2UC2XlXTgBcbLUpY/MXkb/zg1C7o8dUPhPKKveu4byDa8X4HW4hvRjHYzHMZXzlERH0N8g5yWTz3fcJyDjLXYLue6XCT/Y2B5wUSeAAyZFy3pySO6WFpD2VhGL6nx1AiYpvrg+2aVmg+Dr2q0VmApWPHquxmXwXLnwd133EcVARYgril8QUD+wXcc8l5sxXYrRCN4F+uHC70c3pgm/Iea/AjfTnpMLgxMU1i8AGMMjNsnHLaVX1S66NcltQ2Of3losEUHrGI8dWn5pqdnzIQ1WmRgk9bSJeleSnXgSwdax0fwJCBT66kveEFMW91iLZgdOH2vilL7MoDHR6ceoGgI+mp7Ghx3ScA7XwtRJxPrMumNT4WXpofju221gZqp53v6+s5FkV7+onGbaqWLSXbAC8pqZ3TTdUJ6ahoDnN5/SnUI4c7pwGykp06ztP18/+5HcKwkzqvAkfLpyMjvRWhIqHH3s7jVdzOU0U9514PWwmaZSAiXQRSU8WnO0JdRRVzWZn4HxOu5CPIANb/240BX4pp6ImGVIjakwFcg2szXZDzGPluoIug874Qe2/Pj2JQEmpCNtL+O8A3KbmwvSRQY6GmwduoCe7sRU7c5zgr7SlxrXNVLTOR1VO1D0zlRh0rFw9R8fiHcpOwiToTBZQp78dRj2+WEKEqWWpfB6v4y/uP83auBSiSqi0QYqRxVhR+IW4nB3Jpmt8kQl88iu0FFRGWX+MBqpKL8QfR5tw+7WBdDDcQKa3HiyReqqvhVlFvkZ+JAzBJlWwBjnKxr4jfe1R/NWIlNL18g3pRi6asoX5d+n0GmguF51/QSCzFafEzEliaM3zRpZmHSD5hGq+PTaf/WsPhtjDxvarawUheKZolhZfxhsjGtoEDAzVmcFPctuCYRsI3WjXPce84rqzXqlngK40uB2ThJt0mtGbcmPCXyHOoSXYjGGL5Puhq5fljFQHa27JmpHe9xxO2OxQn8N0dMdLCsVIvmpVs5nK48+gkftbLAXt0I0Ystfrig2W5LytI3xZDcQ2cDi9+hFWmsN5z4GNWIx7rHxMu7DodF3Wbu/QRIMdHBDe3K/gB5ui+liR+Tm+b3eYC6m5kN/EFmpu0lDdUzcHr5EIII6bKquMO+U6iL3zC3zsf4eJ16EW7LdkpjDC0lr5Z6v8GGD9f4+CWjT2qYoWnuxgAWJ8KJkno4KPzEj6p8iR++rMNkRtkcTAZYn+rdG4sXMBKOAQvSVQK7hS1ray2eBK83ZOEPsY0lcBLx94rk+GSwqt6+4vZQumSMvqwAAPsSP+Tac/Oc4p6YjpuzaFxrhucHYH2tVI3daOQSYeulW+X5A45govO4onMxdA7fU+/nWalzVeB35tjjWKwzVW2kAK0VhyGmw/Nq4/IHfCcy0qLVcheAcb4dGCPXmBiI/87RGr+tfrrhuwFE8dq5Xxr8xF7e10PXKV5wLoOhJTI1qXwvJBIYM1hGycVvnvbcM/qsIln7Z5r8YGakC7+hiIkH0IQlxi4xtsvnCv+FBzCeV68coeziDeelzbXxcgRfJJ8ADl2L/2YIh6qlQ0T8P9jr7XS477cCUcPIxQjC7kgost7VHKez7OOH6AjT5HkLNOL1+2Pk8wJZEUuxNgEqYzgwyaQnLQ3b+AP8aagpe3AyvyX+FTX8ou+Ty1fNMCUAOJ+uf1EzQTDbOz+EfypYeMARH084wSPaW8MGQ+mHB2DRfaCmkS/uR70uVFuDz5Q3cvjOOjKkhh74nWQNIc5pwtrp2M8ByWeIOPOSuxz/4VL8yEpsZ8UQleeMtQYVmhZDN1Ta/DScSirDT4bilC0c8kEkj6lrHAeUxxFkmq+nt/wo/CUgIAwVUxyMOJ6kWTsejufaoosQj/5M4aKc0ggx3FW7gBMhej6U4iRHBcLNc1EcS5Qu4Idm5UgIc+7wASEauAVqS/vJ99ct0W3CESoi0tIpGX4SxiKI4p3G367lFti5ekemNlyH81eh8DKoiDZwCP2hH0g4KiQEihYIDPs24P9icqKu0jgm06+6vs4Wf3qafTnJy5Pgz0W2LCrfO7fVNc2Tt2tDIyFKB9IdEwlwF2wJtmqx89Tx+iTRByy7COX9xgx9vfeCZ/qPyjnfFFFtWY0uApTlSne5a3T0lu+IMA6Th0yNHgT2M8neAFn6n3IrTAfsi7kbtqh9rXqGuth1jdDmuNANauaqz/vae9l3Q+/2XeGR0cdZGrnhrgZnyOS5f15kCmytNE3+DoCZFOVLqriqSwG5N89ltqh4F/smnq/2YcFrgAolNbtj1aMqLxr6ekTrhjzMwPK6m6KbzI6xmj2qSmI9ZJ4EZOUk+XsB2ZhEhwKRNLVotX1/Two54pXgJrvtqociCwdsRX7EKP77RCWSbaVkjuOYXiXMXQF4KrniFWb2dnVHFdFbIKFa0+R6Yza1wK8a3TvsgtVgVvUNeA/tnSms14jlVG1w2OV2T70td84YOeP/6/Ljf3S6YwyDG2ycNH3fwqUq9kQQQmBR329FFNvZh56ye65wE4BiMiiR7P8B4V/84he/+MUvfvFNsVj8D0haJelfv8M7AAAAAElFTkSuQmCC)
Congruent triangles are triangles that have same size and shape. This suggests us that the corresponding sides are equal and corresponding angles are equal.
When two triangles are congruent, all of their corresponding sides and angles are equal.
We want to show that
. We have to use SAS criterion. We have
, RT = EN, then____________.
SAS congruence is the term which is also known as Side Angle Side congruence. In this, triangles are congruent if any pair of corresponding sides and their included angles are equal in both triangles.
We want to show that
. We have to use SAS criterion. We have
, RT = EN, then____________.
SAS congruence is the term which is also known as Side Angle Side congruence. In this, triangles are congruent if any pair of corresponding sides and their included angles are equal in both triangles.
For two given triangles, ΔABC and ΔPQR, the number of possible matchings are
![](data:image/png;base64,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)
For two given triangles, ΔABC and ΔPQR, the number of possible matchings are
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAhQAAAFKCAYAAABFFsb/AAAgAElEQVR4nOydZ3PjSLK1D0AAJACSoHcy7WZu7Nwv+///xMaNu+/uzM5Mq2Uoit6ChAfeD32rBmKTEiVREk0+EQy1WjQgXJ3KyjwpRFEUgSAIgiAI4gWI770BBEEQBEHsPyQoCIIgCIJ4MSQoCIIgCIJ4MSQoCIIgCIJ4MSQoCIIgCIJ4MSQoCIIgCIJ4MSQoCIIgCIJ4MSQoCIIgCIJ4MSQoCIIgCIJ4MSQoCIIgCIJ4MSQoCIIgCIJ4MSQoCIIgCIJ4MSQoCIIgCIJ4MSQoCIIgCIJ4MSQoCIIgCIJ4MSQoCIIgCIJ4MSQoCIIgCIJ4MSQoCIIgCIJ4MSQoCIIgCIJ4MSQoCIIgCOINCIIAi8XivTfj1RCiKIreeyMIgiAI4hgIwxCieJhzeRIUBEEQBEG8GOm9N4AgCIIg9pUoiuD7PjzPg+/7CMMQQRCAzdVFUYQoikgkEpAkCbIsQ5IOc+g9zG9FEARBEG9AGIawLAvz+RyLxQKO48B1Xfi+D0EQkEgkoCgKUqkUNE1DOp1GOp1+781+FUhQEARBEMQzCIIAlmXBNE2MRiNMp1MsFgvYtg3P8wAAsixDVVVomoZsNoswDAEAqVTq4CIVh/VtCIIgCOIViaIInufBcRwemZhOp5hMJjBNE5ZlwXEcBEEAAJAkCY7jwHEceJ4Hz/Ng2zZ0XYemaUgmk1AU5Z2/1XagpEyCIAiC2BDP8zCdTtHr9dDv9zGdTmFZFjzPQxAE9/IngO8CRBAEiKIISZKgKApUVYVhGKhUKiiXy8hmswdR+UERCoIgCILYgCAI4DgOxuMxbm5ucHl5ifF4DAA80iDLMhRF4csZruvy6ITrunBdF6IoolAowHVdnltxCFEKEhQEQRAE8QDxZY7pdIrhcIhut4tOp4PpdApFUWAYBpLJJM+ZSCaTiKIIiUQCYRjCdV1YloXJZMKXPbLZLKrVKo9QJBIJCILw3l/32ZCgIAiCIIgHCIIApmliMBhgMBig1+thsVhAkiRks1nouo5CoQDDMKBpGlKpFGRZBvA9QrFYLDCfz5FIJHgFiOd5mM/nGI/H0HUdURRBVVUoirK3ooIEBUEQBEE8gO/7GI1GuLq6QqvVwmKxQBRFKJVKSKVSyOVyKBQKyGazvHqD5USw6MZ8Pkc6neaRCFEU4bouxuMxFEXh1R+yLJOgIAiCIIhDxPM8jMdjNJtNXF9fQxAElEolVCoVlEolFItF5HI5pNNpLgjCMOQ+FFEUwbIsJJNJbn5l2zaCIMB4POZJm6qqctGxj5CgIAiCIIg1+L7PvSYmkwkmkwlf0sjlcqhUKsjn88hms3yZYxWZTAa5XA65XA6TyQSCICAIAszncwiCAE3T4DgO9rnwkgQFQRAEQSwRhuE9MbFYLOC6Lk+01DSNC4RMJvOgmGAoioJ0Oo1cLocoijCbzWBZFqIownw+5++/r5CgIAiCIIglgiCAbduYzWaYzWawbRtRFEGWZWiahkwmg2w2i0wms3HJJ1vWyGazPFnTNE34vo/FYgHP80hQEARBEMQhwfIcTNOEaZpwHAeCIHDfiLjT5SZEUQRRFJFMJqGqKlKpFARB4O6ZzF2TBAVBEARBHBDLEQrP8yDLMtLpNDKZzJPNqARB4MmXrMqDfU4URQiCAGEYkqAgCIIgiEOCCQoWoQiCAKqqQtd15HI5qKr6pGqMZTvu5ce+iwmABAVBEARB/EAYhnAch7clD4KAL1dkMhkkk8knl3cy4cAerM8H8D2/Yl/9JxgkKAiCIAhiiSiK4Ps+HMfh1ReKoiCZTHKL7acIAEEQuKBgyxuCIECSJP5z30UFCQqCIAiCWILlNfi+D9/373UMlSTpWX034u8ZhiFP0mQ/mbjYV0hQEARBEMQK4jkO7Pc4Tx38WZMwx3Hg+z4SiQRSqRQURYGmaXttuw2QoCAIgiCIlYiiyB/x5YqHKjLi4oNVdrDfPc+DZVmYz+ewbRuCIEDXdW65rSjK3tpuAyQoCIIgCOIHWHmnLMuQJIl3CLVtG7Ztw/f9H14TX9IIgoD7VjBB4rouptMp+v0+bNtGKpVCNpvljpuqqlKEgiAIgiAOCUEQIMsyUqkUkskkgiCA67owTROqqq60yQ7DkEchXNfliZi6rnOjrNFohF6vhyAIUK1WYRgG7wdCgoIgCIIgDgxRFKEoClRVhaqqcBwHtm3D8zyoqgrLsuB53r3XBEHAS03n8zkA8GhFEASYzWaYTCaYTqdIJBJIJBLIZrMoFou8FJUEBUEQBEEcECxhMpPJcJHAljxkWcZkMsFsNuNJlWy5w3EcTKdTDIdDuK4LVVWhaRqiKEK73eZCI5lMQtM0pNNppNNpbpRFgoIgCIIgDgjWUdQwDHieh9FoBNd1MR6PEYYh8vk8isUiJEniCZXMDGs0GuH29haz2QwAIEnfh1rLsmBZFnRdRz6fRz6fh67rSKVSSCQS7/l1twIJCoIgCIJYIpFIQFVVnhehqiqiKIJlWQCA4XCIfr8PSZIQhiGPQiwWC4xGI7TbbfT7fViWxT0nFEXh1t3FYhG5XI6Xix4CJCgIgiAIYglBEPhSBluWYEsTiUQCjuNgMplAkiQEQYB0Og0AGI1GPE9iOp3yxmKiKPI8CUmS7jluHgokKAiCIAhiibj/hK7rKBaLODk5gSAIcBwHiUQC4/GYV25omgZBEDCZTDAcDuE4DsIwBIB7P5nzJvOyOCRIUBAEQRDEGiRJgqqqKJVKCIIAuq5jPB5jNpvBNE2MRiPuVyEIAlzX5csiqVQKAPjfWLtzz/PgOA48z0MQBO/23bYNCQqCIAiCWAMTArlcDqIoQtM0aJqGu7s7LBYLOI7DTayYy2XcAdPzPF5eypY6ntMHZB94NUHxUF/3Q9yRuwDb57R/CYIgtkcikUAymUQmk+HLICyyoGkad81cbiAG/OVDwe7PrBFYOp1+Vgv0XeZdIhTxHvDEdnhIwBEEQRAvg4kKJhpY1MKyrHvLFsyym3lKhGHIHyx/AgB0XYeu61x4HAJC9EYj0bqGKcR2iB9G2rfEsULXAfFasK6jrEFYPLky3pEUwA8GVXHTK+awKcsystksDMPguRb7zptIo3WtXwmCILbF8v2FIqHENmETYbakkUwmf3jOY+ecbds874I1DjsEQyvGqwqK5V7yAM0aXgvWhIYgiP2F7pX7zWPHjIkQ5j0hSdJh5VC8lopnoSH2YMpu373KdxnarwSxv7B7JgBaFj5gZFnmUQk2Jh4KErD90OCymKCZM0EQxGbQUs3hIggC7zJ6iHBptM1BnyWgsMzXeNYrQRDEa7A8CNOgTBBvy70cim0p43iEgqkxWuogCOK1OYR7zCF8B+I42XrIIG6utPwgCIIg1kP3SWKf2ZoPxXJpaDy5iKITBEEQDxOviKNJ2P4QBAHG4zEmkwlc1wUAbnqVz+eP6jhupWx0lc8ESzo5pp1JEARBHBeO46Df7+P29ha2bSORSCCdTvN25YfUnvwxXsWHgomIXRITVN9NEMQuQ/el/WQ+n+P6+hq//vorXNdFLpdDtVpFoVA4uPbkj7FVH4r4++zixUHlWARB7DJ0f9ofoiiC53mYTCb49u0b/vnPfyIMQ5yfnyOVSsFxnKOzTHgVH4pdY9mtkyAIgiBeguM4GI/H6HQ66HQ66Ha7EEUR+XwelmXxJmDHxFYiFLsuRtj2kaggCIIgtsFsNsPNzQ2urq4wGo0QBAESicS9lhPHNuZI8aziQ+cYviNBEATxuoRhiOl0imazidvbW1iWBU3TkEwmeTvyYxMTACBtWp60XMmxb2VNrHnWPm0zQRAEsXu4rovpdIpOp4PBYABZllGr1XgX0iAIji4hE/g/QfEYq0I4++gvsU/bShAEQewWbAy0LAuTyQSDwQDz+RzZbBalUglRFMG2bfi+f5Q5FCLwtIH2GNeFCIIgCCIIAkwmE/R6PUwmEwRBgGQyiWKxiEajgWKxCFmWj7Yx5kYRijjLHhO0jEAQBEEcA67rotVq8URMwzBgGAb3nZhOpxgMBlxQvDa75q/0JGOrfcubIAiCIIhtYds2Wq0WLi4uAAClUgnZbBaGYUBRFNi2DUEQ3kRQLEc/dmFyv7GgWLeh7/0FCIIgCOItmM/n6PV66Ha7yOVyKBaLqFQqUBQFnudxMeH7/lEmZT7YbXQ5X4I6iBIEQRDHRBRFCMMQ8/kck8kEo9EIk8kEgiCgVCqhXq8jm81CEAT4vg/P8+B5HoIgOLocio3al5N4IAiCII6RKIpgmiZ6vR56vR4sy0IikYCu68jn88jn81BV9V504lgjFK/SHIwgCIIgDoEoijAYDPD777/j7u4OgiDg5OQEjUYDmUwGiqJAkiSI4vf5OcufeG1BwbyV4r+/NyQoCIIgCGINQRCg2+3i999/x3g8RqFQwOnpKc7OzqBpGn9eXFAwY6vXXvLYBRERZ+2Sx7Gt/RAEQRDEMvP5HKPRCL1eD/P5HOl0Gqenp6hWq0ilUjwlgBk9BkHAcyiOjR8iFLsWQiEIgiCIt8b3fViWxZMwF4sFJElCPp9Ho9FAqVSCJEkIwxCCIPDGYL7vw3Vd+L6/cmK+yWR93di76723NkrKJAiCIIhjwnVdjEYjdLtdmKYJSZKQyWSQz+dRKBR+aAIWj1CwpMznRvofe92uriCszaHYVQVEEARBEK+NZVm4vb3F9fU1bNtGuVxGqVRCPp+Hoij3niuKIhKJBBKJxINjZ7zJZvx5T4087Or4LC0rnV3dUIIgCIJ4K0zTRLPZxNXVFZLJJM7OznBycoJ8Pn9PELD8CUmSkEgkHm2a+VB04TG3y10fn2nJgyAIgiD+D9ZNlPXlGI/HEEUR1WqVl4ouD+yiKPIHe4/nLEvsumB4DCobJQiCIAh8L/lkiZiDwQCmacL3faiqilKphFKpxE2s4rCkzHjTTOawufy85d+XoxL7LCpIUBAEQRAEvguK6XSKTqeD4XAI3/eRSqWQyWSQy+WQyWRWvo5FJ5hAeKh9+SpRcSiQoCAIgiCOkuVkyCAIMBwOcXV1hX6/j1QqhVwuh0qlAl3XV75HPJcCeFtjq11DOiR1RBAEQRBPIb7k4Hkeer0eLi8v4TgOarUaTk9P0Wg0fqjsiBMfR/dVUGwSTXkMilAQBEEQRw0TALPZDKPRCMPhEJIkwTAMnJ6eolgsQpblta+PO2Uu//8x8W5VHs/NgiUIgiCIbcCEgO/7GI/H6Pf7mEwm8DwPsiwjn8+jUqnAMAxuZLUK5kMhSRJkWb5XQrovbEMMUYSCIAiCOGocx0G/30e73cZisUAymYRhGMjn84+KCdbLgwkK9tg3QQG8PKJCgoIgCII4akzTRKvVQqvVQhiG3HMil8s9KCbiPGZodQy8m3xiqo4gCIIg3osoijCdTnF9fY1ms4lEIoGffvoJP//8MwzDePJ7xUtGj21Zf7/iMQRBEASxBdjgb5omJpMJBoMBptMpUqkUTk9PcXJysrZUdNP3Xja2OnRoyYMgCII4OpiY6Pf73MRKURTeUdQwjCfnQCw3/NpmhGK5sdguRvhJUBAEQRBHBzOxajabGAwGEAQB2WwWhmEgnU6/SEwA3wf+IAi2sq1MnMQFCgmK/2PXdwpBEARx2Liui263i8vLSwyHQy4oMpkMUqnUk9+PtS9nQiQIAniet7XtjfcJ2VXeNIcirrJWKS6CeCp0PhEEsSnx+4Nt22i1Wvjjjz9wd3cHURSRz+eRyWQ2ruyIw/wnRFFEFEXwPA+WZcFxnBfnUiw3D9vGRPw17ptvHqHYh7ANQRAEcZiwwX4ymaDf76Pb7UIURVQqFUiSBM/zMB6PeZvydTkL8d4doijCNE0sFgt4nsejE67rwnXdrXhSbHOsfK2J16sIiscEA4kIYluwC54gCOIxBEHAfD7HcDjE3d0dTNPkuQ7T6RStVguWZaHZbCKdTiOVSiGVSkFVVSSTSciyjEQiAeC7kPA8D47jwLZtjMdj/Pbbb+h0OpjP53AcB57nbbWnx2uJilVt1J/D1gVFPBOVcSi93ondhM4pgiA2ZTab4ebmBjc3N3BdF9lsFp7nwbZt3N3d4fb2FoIgQFVVGIaBXC4HwzCQzWahqirv6eH7PizLgmmaGI1G6Pf7uLy8RLvdRiKR4JGKfSgd3YaYAF45QrHcGnbVbJIGA4IgCOItYJGI29tbdDodiKKIRqMB4LvTZRiGsCwLtm3D933Yto3ZbIYoiuC6LpLJJI9QBEEA13W5qGCvAe4nUB5TBPXVcijiqiyufkhAEARBEO8By4+4ublBr9fDyckJPn/+jEwmA0VREEURbNvmSxau68L3fYRhiPl8zsVFPK9CFEXkcjlks1kIgoDZbAbf9yHLMp9E77qo2Na4/KpJmdsKoxAEQRDEc2F5EqZpYjweYzgcwrZtZLNZfPnyBdVqFalUCoIgwHVdLh5GoxEmkwlmsxkWiwVs24bneYiiCIlEAqlUCpqmoVQqIZVKQRRFdLtdmKYJRVF2evx7jVbrWxcU8UhE/EEQBEEQ74Hv+xiNRuh0OphMJpAkCdlsFvl8HoVCAblcjj83mUxCURQkk0kkk0mk02kuJuIRi0QiAUVRoKoq8vk8FEXBfD6HYRgIggCSJO1shGI5/WCnIxQsDEQQBEEQ743nedzEajqdwjAM6LqOcrkMTdN+eL4sy0in01BVFYVCgfflWO7PIYoiEokENE1DEATo9/tIp9OYz+fcy2LXxATjNSb6r7bkQVEJgiAIYhewbRudTgfNZhO+7yOfz6NSqaBYLEJRlB+eL4oiRFHkFR2bIMsyVFWFoij3Sku3WTa661AYgSAIgjho5vM52u02bm5uYFkWqtUqPn36hGKxyAf/bcGWOJi5FVsi2QVe6lbNnh+P1sTfgwQFQRAEcZCw6gzWnnw8HgMAyuUyTk9PkcvlthpNZ74TQRDA933+WBYU7xGxeOgzN9meuB1EXETEX7s33UbZF1j2R49/GRaiYkk1rFkLQRAEcVxEUYTJZIJOp4Pb21t4nodsNotisYhcLod0Or31pfnlgXbVcsd7LX+8lqtwfB/ulaBwXRez2Qzdbhej0Qiu696rKpEkCel0mtcEa5oGURQpn4MgCOIIiFsVhGGIbreLX3/9Fd1uF7Is4/Pnzzg/P+d9OrbNrlc2bmu74t9x7wQFExNxD/Zut8vNQ1gUQpIk3qBlPp+jWCwin88jmUy+8zcgCIIg3hLHcTAYDHB1dYXZbIZqtYrz83M0Go2VlR3bgFU4xieyqxpi7nOS5kOtNPZCUADAYrFAr9fD3d0dms0m+v0+FEVBLpfjJarMJrXZbELTNHz58oULjkQisbOqkSAIgng5giDwHAbTNDEYDPjk8/Pnzzg7O0OtVkMqlXqVz2fL7mzcWZf0uI9j0SYNxPZCUERRxAVFu91Gv9/ntcSKokDXdW6ZOhqN0Gw2kUgkIMsyqtUqLX0QL2a5Lw1BELuJ7/uYz+fc5XKxWECWZWSzWdRqNRQKhVe7jtm4I8syn+juSoXHNnhsv+2NoLBtG5PJBKZpAgB0XUehUEClUoFhGBBFEfP5HLZtIwgCLBYLzGYz7skuSRKZbREvhuzkCWK3cV0X/X4frVYL8/kcmqYhk8kgn8+/Wu4EgxldsYg4q/rY5yWOp7A3gsJ1XSwWC4RhCMMwkMlk0Gg08OnTJ+TzeciyjMViAUEQcHd3h8FggCAIYFkWLMvivewJgiCIw8WyLDSbTXz79g2O46DRaHATq9eu+hMEgQuKKIrWlo0eKnsxZY+iCI7jYLFYwHVdpFIpFItFlEol5PN5pNNpJJNJXt2h6zpvM8sMRo5FIRIEQRwrURTBNE10Oh20222EYYhGo4GPHz8in8+/epQ6npTJxp5jGn/2IkIRhiEcx4FpmjBNE6qqcj8K1jUOAD+RLMuCIAhIJpNQVRWqqpIfBfEiNklIIgjifWCD92Kx4N1Ep9Mpz5toNBqvvtwB3I9QsARRWvLYMeKCYjabQdM0mKYJSZJg2zYSiQSv8Gi325jNZhBFEaqq8ogFLXcQL4XEBEHsJixxfzAYYDgcwjRNhGEITdNQLpdRLpdX9uzYNstlo+vMrQ6VvRAUvu/zHArTNHk3N0EQYNs2wjCEaZqYTqeYTCZwXZcvezDXTErIJAiCOEzCMMR0OsXd3R36/T4A8Pbk2Wz2zbyIlo2tjkVIMPZCUARBAMdxYFkWr97QdR2+70NRFARBgMlkgtlsBtu2EUURFEWBoij3yncOkYdOWJpREwRxDERRhH6/j4uLC4xGI+i6jkajgXq9/mqeE+u2I95A66nNt/adnR9pWf8O9vB9n69lr1KBy7anx3Qwlznm704QxPHgOA6GwyFub28xmUyQzWbx4cMHVKvVN1nqWActeewQYRjC9304jgPP8xBFEVKpFGq1Gn766Sfous5rfW3bhmma6Ha7vP6Y2XBnMhnIsnx0M/Zj+74EQRwXrDRzOp1iPB5jOp1yE6tGo4FCofCm+XOiKEKSJEjS96H12MpGHxQU27YMXY4kPAZLxnQcB77vQxRFGIaBz58/4+9//zsymQxXgMD3Ko9//etf6Ha7mE6nGI1GmM1myGQyB5uYSaKBIIhjxXVdTKdT7p7s+z50XUc+n0e5XH6Tyo44cettADyyToJiBwjDELZtw7Is3ggsnU6jVCqh0Wj8cKJkMhnc3t4ikUjAdV24rsvV4bGEnAiCII4Fy7LQbrfRarVgWRZ3UH4LV8xVMEEhSRKPsLNl+mNgpwWF7/u8siMIAqRSKaTTab7UsQwzEQnDkLczP4bETIIgiGNkNpvh27dvuLm5QRiGvJtoPp9/l+gt86GQJIlPaI9pyWOnR1lmnT2fz3mEQpZlLhoY8dbmi8UCkiRB0zToug5VValslCAI4sBg1X03NzdoNpsQBAEfP37E58+fkc1m32WbmKCINwY7pgj5kyIUL1V8T+0Dv+yQOZvN4Ps+vn79ClEUoSgKT9hkzpmDwQCZTAaGYaBSqUDTtL1sDEbdLQniO4fS/pnYDvFETJYn53keNE1DpVLh9/33IG5sBZCguMdrXLRPec8wDOG6LizLwmw24w2/XNdFs9mEKIq8lNT3fQiCgHQ6jWKxiFqthrOzM+i6vne22/GTj+yeiWMmXtfPYNcDXRfbZV8mMWEYYjKZoNPpYDgc8uVwwzBQLBbfLTrBWLY0OJblDmDHcyhYgksymeRLGLZt85pjADzhJQxDKIqCfD6PWq2G8/NzlMvlN3NI2zb7cnETBHFY7PokxnVdDAYD3N7eYjQaQVEUaJqGQqGAdDr97PddjiKs2wfLEQcWlWD/Zr+ziPwxmVvttKBQFAXFYhFhGEJVVdTrdbiuy10wmZBgBzCVSqFQKKBWq6FQKEDTtL1b6iAI4keoOdvrEh/0dn0fO46Du7s7fP36FbZto1AooFqt4uTkBLquP/t9WW6eKIpro9phGMKyLDiOgyAIAACyLCOTyfCmYJIk8eZgxyQmgD0RFOl0GrVaDY7jrDzgLJ+CVXQwYxGmEveNfdxmgngN4tfCun8T22EfBEUQBJjP5+h0Ori5uYGqqvj06RM+ffqEYrF4T3Qy76LHJpVRFMF1Xdi2zV/DCgAURbm3PzzP4/l8nufxrtaJRIJHR5ioYN1Gj0lU7LSgYFGHZDIJXdfvhZri61TsBDhEdvniJoi3YDmZe5+viX34HrsaCWLVfCwR03Ec6LqOTCaDTCYD27bx7ds3bh8AfB/cFUXhlgOapt0THEwczOdzzOdzeJ4HAJAkCel0GoVCgUcfmI3BeDzGeDyG7/tIJBJQVRWyLPPoBYuax7uNHgs7LSjiB0UUxbVrXLt48r+UQ/xOBPFcDuF6iK+nv+W9a5PIwz4seViWhV6vh263C8dxkEqlkMlkoGkawjBEq9XC169fYZomgO+iQJZlqKqKUqmEz58/4+TkhNtiO46D29tbXF5ecssBx3Hgui5EUUSlUsHPP/+Mk5MTyLLMBc1gMMBkMkEYhvz/AfzweopQ7CiHLBwIgjh84mLiLQfuQxrI5vM52u02ut0uoihCoVBANptFFEWYTqfodDq4vr7GbDa7l2eXSCRgmiZvZ55OpxEEAWazGdrtNi4vLzEejxGGIfc+CsMQnudB13WIoghVVbmNwXw+h2VZfLtEUeQRExYdYceWykb3jHh4iSAI4tjYhkBZdw99LfHznKWf2WyGm5sbtNttpNNpVKtVyLKMTqeD29tbzOdz5HI5lEolZLNZyLKMfr+PbreL0WiEXq8HwzC48/J4PMZoNMJisUAqlUKlUuGVhPP5HGEYYjQawbIsZLNZ5HI5npORSqV47h6z2bZtm4sHlrcRd28+BvZaUDBDqyiKeEImQRDELrPNCdA6j47nsC4SvG1Rwd5v1XavW9ZmRlatVguDwQCVSgWfP3+GaZr497//jeFwiFKphI8fP3JzK1EU8dtvv2E6ncKyLAyHQ3Q6HSiKwiMUs9kMoiiiWq3i73//O2q1Gi9LbbVa+OOPP3Bzc4NKpcK7mDL3ZZb8LwjCvbGIVR1GUYQgCI7KenuvBQU7SRzH4WpRVVVomoZUKsVLdwiCIN6b5XvRW9ybnuJOvEpIvFeonm1LEATwPI8nQtq2DVEUkclkUKlUeMIlK92s1WpoNBooFosIggDpdBqJRIIbItq2zRtOLhYL+L4PVVWRz+dRqVRQLpcBAKqq8r+Px2NejsqWUYIg4NWGzG6btYWIiwvqNrpHTCYTXFxcoN/vw7ZtSJKESqWCjx8/olqtrm0i9pqQTTBBEMu85j3gsffe5LPjwuO171dPETm+76Pb7aLVamE4HPJqDZY/IcsyPn/+zA0Na7UastksJEnigzob7FlUwbZtTCYTWJaFRCLBcysUReGfyypCWARClmXoug5d1+F5HhzH4cKCVYQkk0neTt2yLC5iXNflVSeHzl4LiqkF1/sAACAASURBVMViwZNqptMpBEHgWbySJCEIAmiadu9EeSt2PWOaIIi3Z9v3g20KgV28VzmOc+8ez3IZCoUCVFVFMpnEhw8fUCqVkMvlkMvlIEkSFosFRqMRptMp94tQFAXJZJLnSNi2DcMwkMvlkMlk7vlVsOcyXyPm2ByPfLOlDCYoWOmq53lIJBK85wjlUOwJTCEyxej7Pu7u7iCKIkajEarVKsrl8j01+x7bCOzmxUoQxP7z1KaLT3nf12Ldey9/F9u20el0cHV1BUVRcH5+jtPTUxSLRR49KBQK0HWdt1mYTCZotVpoNpv4448/0Gw2oaoqj0awsYIJimQyyc2p4rCJKRMHLNKQSqWgaRoff5ipVTKZ5L+zjqOsfPRY7v97LShY3kQqlYKqqnAcB7PZDL///jtarRYajQbOz89xfn6ORCKBXC73Ltt5LCcTQRDvw2vdY95LVADfJ2PMFfPu7g6NRgO1Wo23J2cDdTqdRiqVQhRFsG0b3W4Xv/76K/7zn//g+vqaTy7Zc+fzOYC/+kCtc9MUBOFetNuyLLiui2w2i2w2y3MzgO/igwkhllvBXruP3a6fy14LCpZNK8syX9pg6jMIAkwmE9zd3fHnO47DlSQzN3mLbSQIgiA2x3VdzGYzbjgVRRFSqRTy+TyKxeK9AZpNLJlPRNz3QZIknrTp+z5f6mB2A8DDyadxc0UmQNjyB3t/BhMn8cjGsQgJxl4LCmZrykJZzKabhaNGoxGGwyEPgZXLZXz8+BGfPn16tWjFrjUxoiUXgiB2lXUlr+PxGDc3N2g2mwCAarWKSqWCdDq9dpBm/hDlchm//PILCoUC7u7u0Ov1eLTjjz/+gGma8H0fyWQSoijC930uFpaJi5P4EsYq4tUesizz0tFjMbUCDkBQsCxe1r62UqmgVqshiiL89ttvmEwm3Nyk2+0iDEOk02lIkvRq3Uhp8CYIgniYdQMtM5S6urpCr9fjuRMnJyfQNO3B95RlGcViEfl8Hh8+fEC73Uaz2USv18NkMsFwOOSVGez+b1kWbwwWh5lSMedLJhQeur+zpQ72PDK22iOWFaGiKNA0DblcDrIs8zaz3W4Xs9kMYRii3+/j3//+N7rdLkqlErdiVVX14ITAMSljgiAOA9u2MR6P0W63MZvNUK/XcX5+jnq9fk9QhGGI6XSKfr8Px3GQy+VQLpd5VR/zjPA8j5tVjUYjKIqCcrkMXde5Y2Ymk/mhtDMMQ7iuy0tEWZXHQ8vlbEwSRZHbd7uuS4JiH2Bigh1g5psuCAJ0Xcfnz59RKBQwHA7R7XbR6/XQbrfxj3/8A6lUCh8/fsTHjx9xcnKCWq22trx0HzoEEgRB7CPxvhdBEMA0TYxGIwwGAwRBAMMw8PHjR5RKJaRSKf66IAjQ6XTwj3/8A6PRCP/1X/8FVVVRKBT4c9gkkyVtsqZihmFA0zT0ej0Mh0NomsabfLFt8TyPRy8AQNM06Lr+YLUgy+tj0QnHcXhe3y4thb8Wey0o4gkwrLMbU4KiKELTNL4UkslkkEqlYJom7u7usFgsuNEJU5X5fJ6vfcXXyl6rLOu12dftJgji+PA8D7PZDIPBALPZDEEQQFEUGIaBUqn0w3JHFEWwLAudTgftdhuapuH09JS3FA/DEPP5HIvFgouFZDKJTCaDYrGIVCrFkz7H4zGGwyGy2SxEUcR0OuUdRVlenqZpUFX10YR+Nn4wUULW23sCEwLMaGRdAkwqleKZwYIgIJvN8qYwt7e3mE6n6PV6qFQqqNfrK0/efVWW+7rdBEEcF47j4O7uDs1mE7PZDNlsFoZhwDCMlVEBSZKQTCaRTqehKAoGgwH++c9/otVqoVAoQJZlDIdDtFotTCYTRFGEarWK09NTNBoNJBIJdDodRFGEwWCAX3/9FZ1OB2EYYrFYYDKZAABqtRqq1Sr/nIfuqSxCwXLzWNTlWCZ2ByEoWDbtQ61idV3navfs7Ay3t7f47bff0Gw2MR6P0e/30ev14Hkej1Ikk0kakAmCIN6AxWKBVquFq6srhGHIm3wZhrHyPsx6etRqNViWhfl8jq9fv6LdbqNarULTNPT7fTSbTURRhHK5zL2J6vU6fN9HLpeDpmlYLBa4urpCs9mE67p8HNB1HaVSiedvbGJzHo9wL7etP/TxZK8FBTMQSSQS8DyPZ9Su66ehKAo3wgLAW9Qye9b5fI7b21sEQYBisciXSjYJcxEEQRCbE1+S9X0fpmmi3++j3+/zNuT1ep0vQ6xC0zQ0Gg1EUYRer4fpdMoNrtgyuKZpSCaTqNfrOD095dEG3/dRqVTw4cMHjMdjPoYA33MvdF1HpVLhjsvx/I2HvtOqqDlFKPYAZmolSRJXlZusV8myjEKhgL/97W+oVqs8OjEej3nIrVAo4OPHj2g0GqhWq+/mskkQBHGoMMOoxWKB6XSK8XgM0zRRLBZRLpdRq9WQTqfXzux1Xcf5+TkMw0Cv18NgMIDjOAC+J+2XSiUuIFg30XQ6zaPQjUYDqVQKs9kMpmnCdV1EUcTLSvP5PAzD4K95jLigYCLoWMQEsOeCIh5eYuVB6wxKll/HkmxY6Sjzep9OpxgOh7xNbjziwUxVjs39jCAI4jWIogiLxYKXdDqOg0QiAV3Xkc/nkc/nH4wOsz4c2WwW6XQa2WwWs9kMtm1zd01mlc2EARMnkiTxKPRiscBsNoPrutxzgnU2TaVSG9/z1y15HAt7LSiAv8JmbOB/agKMoijI5XIIw5AviXS7XV66NJ/PMRgM0Ol0uGlWLpc7+LUwgiCIt2A0GuHbt29ot9uQJOmeK+amS82KovClkUwmwyMN8bLRVV5DLFeOVQz6vn/P3+g5eXTxZmC05LGHvERQAICqqqhWqzAMA5VKBYPBAN++fcPvv/+ObreLdruNu7s7nJ+f8xPwMcc2giAI4mHCMMRgMMDFxQVM00Qmk0G1WkW9Xoeqqk96L9ZuPJ6YH/eFeCjKwJY44jxn0rhsNXBMYgLYc0HBlGC8ectzBEXcVpX1A/E8jyf4sAziTqfDu5rm83lks1moqvqoHStBEATxI5ZlYTQaod/vIwgCNBoNnJycoFwu8wZcm/KS5WgWldgmxzgmHJSgYJ7pL1GEsiwjk8ng/Pyclx2xBjOmaeJ///d/8eeff+Ls7AxfvnzhCZvrXDYJgiCI+zBb6/F4jPF4jNlsxh0s6/X6o7kTu0x8XIovfxwD+3nE/o94OCvuQ/FSFEVBqVRCqVTCdDrlxirX19e4ubnh/uzMKz6Koh9ExTGdRARBEE/BdV0emTBNE4IgQFVV3p78UCZoJCj2jHiY6zXWrNiaHrNgVVUVk8kEgiBwR7der8cFSKFQePLaH0EQxDGxWCx4e3LHcbiJVT6fPxgxcYzstaBYLtF5rc8oFArQdR3VahUfPnxAt9vF1dUVbm9vcXd3xw1QPn36xO1gqbSUIAhiNfP5HFdXV7i5uYGqqtzzh/x+NmedgeN7steCIu6U+Zo1v6wBma7ryGQyvDPdbDbDeDyG4zgYDodIpVJIpVJwHIe3RFcUZevJPgRBEPuK53mYTCYYDoeYTCbIZrOo1+uo1+tIp9PvvXlbZdl6+9DZa0HxHq5krNHYzz//jGw2i8FggPF4jPl8jl6vh36/D8MwcH5+jtPTUxSLRWSz2VfdJoIgiF0nDEM4joPJZILRaMTtsdPpNEqlEorF4pMrO3YZJiJYoQAJih2HLXmwCMBbKEHm4qaqKmq1GobDIW5vb9FsNnF9fY27uztIkgTHcXj4ib2GIAjiWAmCAOPxGO12G6PRCFEUIZ1O846ih5J7tqq6gwTFHrB80F5aMropLG9DkiQUi0WEYXhPPFiWBdM0cXFxgclkgsFggFKphFwu9yT3N4IgiEPB9330ej18+/YN4/EYqqry6MShiAlGfLL7mjl+y5/53hzMyMZKRt9KVDAURUG5XIau6yiXy/j48SPa7Ta+ffuGi4sLXF1d8a55X758wadPnw5unZAgCOIxHMdBu93Gn3/+CQD48OEDzs/PUa1WD2qSFRcTkiTdi6Bv+3N2jb0/inH1F1+vesvPZ8mYhmHwslEWmbAsC71eD2EYchdO9pxkMskTSgmCIA4V1p58NBphNBrxpY56vY5cLndQVXEscr4coaAljx2HLT0wBfgeEYo4LFeiUqngl19+gWEY6Pf7mE6n8DwPX79+RbfbRblcxtnZGarVKrLZ7EElIhEEcViw+2kURfd6VWyK4zi8i7NlWfw+mcvlkM/noWnawVXCrXLKJEGx4wiCwENKu9KMJZFIIJfLQdd1nJ2dodVq4fLyEq1WC+12G9fX1ygUCvA8D8D3kyyfz0OW5XfbZoIgiFXExQR7PFVULBYLdLtddDod+L7PI7mGYUDX9YNa7oiz3Bpi1wVFfPueGzXf6yP5FsZWz4GVsqZSKd60jJ1U/X4fURSh2+0CAGazGcrlMgzDQDqdRiqV2qnvQhAE8VyiKMJsNsPNzQ3a7TaCIEC5XEa9Xkc2mz1YMcHGJbaUEwQBfN+/1wV11yBBERMUTFTs2oHKZrP48OEDcrkcqtUqut0uBoMBf9ze3qJSqaBer+PDhw8Hl6BEEMRh8Jx7axiGGI1GuLi4QLfbRb1ex/n5OU5OTpDJZF5hK3eD+JjEJpWu68L3/Z28vy9HoOKRqKewe9/sCSwnvuwiiqKgUCggm83yNcOrqyuYponJZALHcfiJJssyRFFEJpOBoijUFp0giJ1jk3sSG5xmsxlvAjadTvHhwwfU63VUq9WDKxWNE29cCXyPUHiehyAIdjYRf3lJ6znstaBgXhDxpMwgCHZyrUqSJGQymXt+FaVSCaPRCIvFAu12G6Zp4ubmBrVaDScnJ7yHyK6KJYIgDpv4bPUpAw0zsWIR2SAIkEql+MQqk8kcXCLmOqIoQhAECIJgK92wXwtRFDcSFPHCh/h5IQjCYQgKFkJiB20XBQXwXUSk02kkk0kUi0WMRiNcXl7ycODd3R1EUcT5+Tn/HsyaliAI4j14zozV8zz0ej1cXl5iOBwimUzCMAwUi0Wk0+mDFxPLLpnxCsRdHJ/iyaMPHe+4nXj8dWzSu9eCIh5WYiqQHbhdhFWlSJLEfSg8z+M23VEUwbIszGYzXF9fw3VdmKaJUqnEEzZ3cf2NIIjDhkV/HceBZVnwPA+yLCOZTPLl2bhIsG0bnU4H19fXsCwL+Xwe5XIZpVLpaMrkl0tGd3lsYjwmHh/7+96PTnFltctLHqtIJpOo1WpQVRX1eh29Xg+DwQD9fp+3Ry+Xyzg5OcHp6SlOT0/3stHYLmc2EwTxMGyyxkz6rq6uMJ1Okc1mUa1WeQmopmn8NbZto91u4+rqCplMBl++fMHnz59Rq9WOYlK0yoPiPT2Stkk8IrF8T9/rI7tc58siFPtw0KIogiiKvDFOtVpFvV5Hu93Gb7/9hn6/z502XddFFEVIpVJIJBJIJpP3SpJ2keXQ3ksyhwmCeF/CMITneZhOp2i1Wuj1ejAM4171guu6UBQFvu9jMBig0+mg3+9D13VUq1V8/PgRmqYdxT1glaDY1eWOp8JyLVax94Iibmq1D4kvjOWLKplMIpfLAfi+/iiKIobDIa8CaTabWCwWKBaLqFarKJfLSKfTUBTlPTb/QdixYP4bb9kghyCI7ZNIJKAoCjRNQy6Xg23b8DwPt7e3XDSkUilu0MfK4lkOWD6fP9pcsOX73iGIinX38r0XFKxsdN8ExSoUReFWtKenp+j3+7i+vsbt7S0GgwFubm6g6zp++ukn/O1vfwMAGIaxkwlObMYiCAIURdlJjxCCIB6H5X6lUikUi0V4nodkMol2u41OpwPTNPlSM4ucBkGA6XQKTdOOur3AcnLmobPXgoKJiXiUIp5Ju28DGBt8FUVBJpOBrus81Oh5HizLwnw+R7fbhaZpcBwHpVIJhmHwhM1d+c7LIb9d2S6CIJ6HLMvQdR2lUgmCICAIAti2Dd/3MZ/PYds25vM5HMdBGIZIJBIwDAOe52EwGCCTySCZTCKKIp6cvqueDNtg1fc6dFGx14KChdPjxlaHdHKqqoqTkxOkUimUSiX0ej2Mx2NMp1P8v//3/3B5eYl6vc4f1Wp1J3qCsOPCZiXsprGvx2ZVPkj8J0EcC7IsI5vNQpZlaJqGarWKyWSC6XSKwWCAb9++4eLiAqZpIpVKQVEU3N7eAgCurq5QKBSQy+WQy+V4IiebCB3i9bTcDfvQ2WtBAeCeoFgOL+37CSpJEorFIrLZLCqVCkajEVqtFv71r3+h1Wqh2+3CNE3M53OetJnL5XZC9R9iJjclmRLHTrzsvVAoIAxDmKaJ4XDI87xub29hmiZkWYYsy5jP57i4uECn0+FtBqrVKsIwhCAIPPfi0K6lVc3BDl1U7P1df1kB7kuVx1NgswKWKzKfzwEApmkCAPfKZ54V5XIZuVyOGo29AvH9SfuWOFbijr+apmEwGPBk8lwuB1VVUavVUK1WEUURFosFt59mzpme58G2bRSLReTz+Z2uWnsOy8u+x8DeCwrgr5M7nj9xaKJCFEWoqopKpQJVVXF6eopOp8MTNi8uLnBxcYFKpYJffvkFX758gSiKR5sMtW1ISBDEapg/RafTQRiGaDQa0HUdX758wenpKW8QNh6PMRgMMJvNuEGWZVkQRZEvoxwaq0pHD5mDERRxS9BDPXCSJCGdTiOdTvM+H6yT3Xw+x2QyQRiGvLmYbdvI5XLQdX2nG6jtOrS8QRwyLz23F4sFhsMhBoMBAPDIxE8//YSTkxOEYYjhcIher8cr0oIggCAIe+Ee+RyWLakPNXq+zMEICgB7ZWz1Ulg/kCiKkMlkkM/n0W63MZ/P0Ww20e/3ucsm860wDOO9N3tvITFBHBLLkdznhueDIMBiseC+E8ViEbVaDefn5ygUCjzqkMvleO5FrVZDEAT893w+v5Ol7y8l3sKcuTjv6/j0kOhk3yeKosMRFMsRimNA13VomoZyucx98q+urvDnn3/i5uaGJ20uFgteknrILYMJgnicuJhgj6caz8Ujo+PxGOPxGPP5HNVqFZVKhbcUYAMRq/jI5/M/JDfvuuvvc4h7JAF/7a8gCN55y55G/FitaqEQFxMHIygYxyIkGGxGoes6/78oirgFbhiGmM1maLVa3GimUCggm81C1/VHM6tXlUoSBLH/xNf1n3ttT6dTtNttdLtdBEHAHTFZe/Llz9vHKMRL7oFxQcEmvfvK8rYfpFPmMseU/LJMKpVCpVLhEYvBYIC7uzt+wXe7XVxcXODk5ARfvnxBvV5/MBEqPns5tkxlgjhk4tdyfJB/aoRiMBjgzz//RK/XgyRJOD09Ra1WuzfB2VeWZ+ZxQbDpfkokEpBl+VkRoF0iHoVYB/tuByUojk1ExGHlW5qmoVQq8ZCj67pwHIcbYoVhyMtJfd+HYRhIJpNrXd3iJ9O+XhAEQfzIS65nz/MwHA5xc3OD+XzO87UqlQpSqdQWt/J9ee79L56UyZJO97kCcZNtFgThcATFMVR5bIooikin02g0GgCAQqGAbreL6XQKz/Pwxx9/oN1uo9FooNFooFwuI5/P34tWxA1ZCIIg4sznc4xGI/T7fQBAJpPB6ekpyuXyTjYsfClPdcdlYxFLxGS9TrZ9P31q1OS5PNbg7OAiFPus/l4DURRRKpWQzWZxcnKCXq+Hu7s7XF5e4vLyEjc3NxiNRlgsFvA8D7IsI5/P//A+x2jOQhDEaoIggGVZPOJpWRav1KjX6zAM46ASLF/iPxOGIXzf54Ji240rH0uY3BYPiYn4v0VRPBxBAWy21nMssCQoVVV54zBRFOG6Lves8DwP/X6fdwdkpaWqqkKW5YO6MRAE8XJs20an00Gr1cJ8PoemafcSMfcx8XKZVePHUwfq+ASXNXh0XRe+7794fHro9dteml4VpX4ocn1QgoJm0asRBAHpdJq7bVarVQwGA3S7XYzHY3z9+hXNZhP5fB6fP3/Gly9fkM/nD3p/Uk4IQTwd0zRxcXGBm5sb2LbNEzELhcJOiIlNqxHWzeg3Hewf+5z438Mw5M6gnuc9O0qxrknhum17zfvbstkf+/1gBMVyaJ6iFPdhbdENw0Cj0cBgMMB//vMfWJaF6XSKfr+P4XCIRCKBdDqNKIqg6zoURdmJG8U2oURTgng6URRhOp3i9vYWzWYTxWIRp6enODk5QS6X28mI5mPX+FMExPLY8lAkgz1fFEVEUcT7lriu+6yxaZUR2abf5yX3uE0qO+IchKCIm6MwpXSIdq7bgBlc5fN5nJ2dQRAEGIaBXq8Hx3HQ6/XwP//zP8jn8ygWi7xxj2EYjwqLKIp48hE7JrvW6nuTi5IgiL9g91PTNDEajTAajTCfz1Gr1VAul1GpVB4sFX1vP5t1omLVjP8pSZfL95K4oGIeFLIs86gEM7Z6ytj0mPhYN4HeNFKzyeeveq/lfcWecxCCAvjrAMYFBQ0c61EUBaenpygWi+j3+2i1Wmi327i5ucHNzQ1kWUaj0cD5+Tk+fPgAWZZ/MKtZhiVsMVtdFt3Y1ZkLsPrcoPPmOKHjvhomJlgU07IsAOAl6oVCAZK0eihZNZt/i/27/HmbiAp2n1q1fLHq/+ITVxaJYM8TRZG3b2ddopmgeOqyyqqI6vKAHs9rYD9Ze/iHeCx6Ex9L40LioI2t4jan7MDGdwLxI6wTKXtIkoREInEvYXM8HvMLQhAElEol6LrOnx8nCALMZjP0+304joNMJoNCocA9L+g4ELtM3MSN7hv3CYIAo9EIrVaLL4vm83nk83lkMpkniYldYtm8b9Xf4z+XjRPjjc2WXx+PUDBBwSo9nro/Ns2dWN7GTd/7KVGZxzgYQZFIJPhjG7ayx0QymUSpVLrXvGc4HGI8HmMymWCxWKDdbqNcLuPTp084OTlBJpO5t29d10Wn08Gvv/4K0zRxdnYGRVH4BbVrPCRy9uWcee9Q8qEQHyCWQ9cE4Ps+ut0uvn79itlshlwux8tEN/Gc2FSkbXo+P/d5m2zDsmhgDzZRXfW35c9iMEEhSRIEQXhynym2zcuRkFXfe1107bHJ3GN/i+eBbMLBCAomKigp8+kwIyxVVVEsFnF2doa7uzv8/vvvaDabvPXwaDRCIpFAMpkE8L05mSiKsG0bo9EI7XYb3759g2maUFUVHz9+XLkG954cysC7as30UL7be7A8ONC+/AvLstDr9XB7ewtRFPHTTz/h06dPqFara637l3ksl2rT83mT562636x6XnywXU7oXx7I4++5LChWbScbj1jkdzmisSnL2wH8uLzyknyJx8519lmb3Mej6ECqPOI3gmUTEZptbA7zrVAUBVH0V5OxXq+HyWSCMAzRbDaxWCxQrVZRrVahKAqm0ykGgwE6nQ4AIJ1O31sa2bVjQGFtgvHSKM8h5134vs8nC5PJBPP5HJlMBrlcDtVq9dFE7VV+BQ8JgG3ty1XX97qZ+rKoWP785cGb/T1+T1v33vFl+CAIuMnVS5c84v//0L58aAnvKft6lRBbt30HISgAcPXHDty2XcmOCVEUkcvlkEwmUa1W0ev10G630el0cHd3h4uLC1QqFXz+/BmqqqLf76Pf7yOKIhiGgUKhgJOTE6TT6Y1nMG/Nrg8Au7yccYiD6Lpkt4d4aIZ6CNi2zf1qTNOEIAhQVRWGYSCfz2/UBGzVLHrV+bP8922Iisd+XxY8q5bK1wkF9pz4EsSqz2B/Z5Pc5+RQsG1a/rlKsLG/xQf5x0TFuu+5/F0eS2o9mAgF8GPIKt7T41Av+G0SP/kEQeC+FdlsFpqm8QZi4/EYo9EIw+GQ50d0Oh2Mx2Pk83mUy2XU63WekEkcFru0fLVNHgvJP8QhCiwAPHeq3W7fS7Q2DAO6ru/F931OlcMmEczHBAv7P/Z4btlo/H0YD23bJtdnfHxcFkVPYZVIPAhBIQgCJEnij3XKjfiRx/aTIAi8XFRRFOi6jpOTEwwGA16T3ul04DgOFEXh7dNzudyTohO7PCPfRSjxeDus24+PrUsvn6/7egweEkOz2QyXl5e4vb2FJEk4OzvD6ekpstns1r/vc5Im1w3i29oe9jnL28hYTpZcXtpdjlB4ngfP8xAEwZO2QxRFSJLERQB7/XJL9FVLM8vE0wJYsulLlqSXr5ODEBTLJTqUmLkZm+4fZoSVTqdRrVYxHA7xz3/+E61Wi5eSSZIE3/f5cWBtezc5WSnB8PnQftoOq8TEOlFxCOL3sWs/CAJMJhPc3t6i0+ng48ePOD8/50uZ2yQuJjbdn++139m2LidLrltSYfe/eG7fU/L72Huw92O9QFYdv8f2yXKuYTzh9CkRj+VoXvw5ByEoGGxHv2St6thZd3Ix3wpZlmHbNhKJBBzHgeu60DQNmUwGyWQS/X4fFxcXmM1mvE5dVdVHa9WJ1ezagHUM0b/4AHeI33V5HX75b8yDhjlihmEIXddRqVRQKpWgqup7bPbOsy4RdHngXU7qfIz4AL4qSfQp77MuZ+SxZbvHInbsvQ9CUMQVl+/7zwotEY8ThiEsy8JisYBt2wiCAKlUCqVSCbVaDYIg4PLyEq1WC/V6HR8+fECj0UC9Xkc2m137vm8949t0kHjPwXzXhEScXd62p7LuRrocgj+k7wysFxW+72M4HOLu7g7D4RCC8L2xYD6fR6FQePA6fohDihrHzwlWEgo8HlllguC5vjzs8+LbsMn+XCdo4tv70BISe118eWdZOLHXH4SgiMMiFM8t0Tl2HroggiCAbdtYLBaIoojPWj59+oSzszNMJhNcXFxgMBjw9bkwDPlFoKrqD1bchzoLJPaLY1tmWyekXNdFv9/H7e0tptMpVFWFpmkoFotbX+rYd5ZF53J+xaqJ0lOjE8uft41z9CWRjlXfK/4+ByEomHKLex6sW2ci/mKVcn0IFqGwbRvJZBLn5+cAgI8fP6LRaGCxJ8Y+UwAAIABJREFUWCCTyaDf72OxWGAwGGCxWGA4HKJSqaBWq6FWqyGTyfzQSGffMuX3bXuJzTn0+8ZD34853l5eXsL3fVQqFe45s40S8HXJl/HchFWveS8eShaN51LEn8cmUuyxXEH33OWK+Oe+5PsAP95zH4usPPTc+O8HIyhWVXkc+o1hW2x6godhCNd14fs+MpkMdF2HqqpoNBoolUqIogiNRgOdTgd//vknvn37hvF4jG63i7u7O5imyRNnNU37IVLxHjwnFLs8E3ntbSfx8vY8NAs7BNadU5Zl8es1l8uhXq/jy5cvKBaLWzOoW7cfd1lUrGOVqABwz7Zgk/fZlJeKiXXCYBNRsUl56cEIivjP+EEmtgdLzNR1HZqmQZZl6LqOQqEATdMAAKlUCpIkwbZt2LaN4XAIx3Hg+z76/T6+fv2KyWSCYrHIPS5kWX5ytGQbrFoHfIxVzzm0weYYWTcDfejv+058kHBdF/P5HIPBAKZpIggCJJNJFAoFlMtlaJr26MAaf99jY1X0gUXO41HzXWBdrsRTX7OKgxAUy2U8z/FMPyYey9hdhyRJMAyDG1axiBDr7QF8t+/OZrP4/PkzcrkcxuMxbzI2HA7xj3/8A5qm4fz8HOfn56jVaiiXy7wK5C1uTA/NkF6LXZt1HTub3tzZfWU5Ee292JbgXh78ZrMZbm9vcXt7C8/zYBgGisUiDMP4IZq4apvis/SXbt/yTHqXiQuJuEBjS/DLzcFeOi5t47i/5msPQlAA+EFMUIRiNY8l1TxEIpGAruvccnfda1KpFK/+ME0Tg8GAL3kMh0P0+/17NdCiKMIwjHtJnMvZzPtMPAuccQjfa195qpg4tGO1KplwOp2i2WzyfjzlchmVSgXpdHpjL5ltioDlmf4uEhdly4KTmVEtty8/9EKBgxEUy0krh37g3ounXNyJRIK7bAqCAM/zIEkSJpMJgiDA9fU1RqMRWq0WSqUSyuUyisUi72K6i6xaGnlOpvSmr6dz+P14bK3/oee99Bx5TdhMmm2T53mYTCa8VJT14qnX63wpc5P3jP98ybbtk/B+aPviJn/MG4nloC1zKBHMgxEUAOVQPMZ77A/WGl1RFGQyGZyenqLVauE///kPms0mms0mZFlGuVzGL7/88kOY8DV46Q3rJdu1HK14DzFxKDev1+SxhLVNjttTZuybCpBtHaf4vdKyLEwmE/R6PSwWC5ydneHs7AzVavXecuZj78X+/Z5h+bdinYhcjlIw52bf9+G67lpBwV6/fM7sw76IczCCYnkti7jPqrD7W8Haoquqimw2C0mSMJ1O+XKI4zgYDodoNptQFAWLxYK7bCaTyXt26vvI8prwc5M/ie3w2DGILwm8xXn33ETfly7HBEEAy7IwHo8xnU7heR6PKpZKJRiGsdbhdpl9HQBfynJlynK1BzuHjmWSexCCIp4QE/c9J3YPRVFQLBbx3//93ygUCuh0Ouh0OphOp2i1Wuh0OiiXy9zbolqtIp/Pb/V4vse5EZ8Rbjq7XU5yO8T1/Pdi06z25+QFxI/VU/I1Nv2cbZUjMhMrlt/Ecp9yuRx0XX+y78Qxn5vxY7LsQwH8laQpSdKDTplPOWd2kYMQFMCP64LEal56wm7jRpZOp6HrOqrVKjqdDq6vr3F1dYWvX7+i2+1iOBxy+3Tg+8WYTqf3PlFz0+1e5XNBYuJ9eO4+f+kxW/e6dZHG53yO4zjo9XpotVqwLAuGYSCXyyGXy2201EF8Z3kSsJzDJwh/WXQvOwXHOYTr/KAExXJiJvEw6/bX8gm9bYMWdqx0XUe5XOYXWhRFSCaTPEns27dvmM/nGA6HKJfLKJVKyGazW3Hsey82STpbdWPZZtRt32dB+8JTBoinHtttVEEsFgu0223c3NxAlmVUq1XU63Xkcrln95s4JpaPbzw6ziISiqLwxMz46x57r3XP23UORlDEOZb1qufyUFb6qvX+eOhu25EgTdPQaDSQyWRQLBbRbrfRarVwc3PDWydfX1/j9PSUJ23GoxX7yEP7bt3N5i23gdge2xYTT0kOfQjf92GaJr/e6vU6KpUKzs/PYRgGnR8bEs+RYL8D36OqiqIgmUxCUZSNW5XvOwcjKOIDXTzkRKLiaSzXp6/727ZgCZupVAq6riOTyUCWZViWBd/3sVgsMBqNuAeGIAjcZVNV1Z0tL30ph3BzIV6P554fURTBdV3MZjPentz3fSiKgkKhgGKxiFQqReffE1neX6zCg/lQrLunHhoHISjiISY2cyUfivtsekKvmyG/9sAtCAJUVUU+nwfwvTNpr9dDr9fDeDyG67r/v70z7U5bSdf2LQRiHgRixs6wd3bv/fH8/z9xus/q0yfpTmyHeR7FIAnxfvD7VMqKINhgI8t1reXlxMZCSKWqu54R//d//4dGo4Grqyv89ttvKBaLSKVSvhUVAsFzMJ1OmfUPAHK5HPL5PBPpQkycDp9xyFt0/X5tfSUoyFdl2zarSiZ4yD7/+a/M8C/xIAQCAcRiMUQiERQKBZb58f379wdfy+USiqKwhzWVSj37uQkEfsC2bYzHY9zd3WEwGCAcDkNVVZRKJWYBFJyOM22U/7mfN7q+EBTAj7Qc4D6/2jRNbLfbC5+Vfzglje4xUOpvMBhELpd7kIolSRImkwkAoNVqseZjqqoinU4jmUwiEom86vgKgeA5MQyDVaddLpcoFAqo1WoolUqIRqOXPj1fwRe22u12sCwL2+1WCAqvQxYKWZaZmNhsNjBN86I3z6sNbk45n5f8LIFAgKWwaZqG9+/fYzgcotFooN1uo9FoIBKJQFVVvHv3Dr///jvy+byYGAWCPaxWK4xGI3S7XUiShE+fPuH9+/fQNA2Kolz69HwD74Ynq7lpmrAsy9eWc98ICtrZWpYFy7JgmuZFb5yzlgDhNXHhdRRFgaIoSKfTKBaLGI1GsG0bg8EA4/EY8/kcuq5DkiREIhHYto1MJvNTW3SB4C1jmiaWyyWGwyFmsxkMw0AsFkM6nWZNwATnhSwUvBteWCheCc6iInzXUS+cE/BzRzrB4wgGg0ilUri+vgYAdLtdDIdDNlH+93//N0sxrdVqUFX11aeYCgTnYLVasVTsxWKBbDYLVVWhqioikcilT8+XODMP/S4mAB8JCuDhAn7pG+cUOICwTpyDUCiEWq2GfD6P4XCI79+/o16vo16vs0Zjs9kM2+0WlmUhEAiwjqcCwVtF13Xc3d3h7u4Ou90O5XIZpVIJqqqKLKlnwikovLAuPTe+ERSU5WHbticekGN7NwgeB8XKKIqCYDDIVL9pmjAMA5vNBrPZDPV6HZvNBrqus7oVsVjs6GZHAoFf2G63mM1m6PV66Pf7yOVyKBQKrKCcF+ZLP8K74gH/Z3gAPhEUkiQhFAqxHGoKhHmpdMdD50Ulpen/gvMRDodRLBZZ/YpqtYrBYIB+v4/v37+j3W4jm82iWCziw4cPuL6+FtYKwZuBrKOLxQLT6RSj0Qiz2QylUomV2Y7H45c+Td/C16J4K3O/bwQF1U23LMsTJqbXXpP9NRAIBFijsUwmg0KhgFarhe12i8lkgvl8juVyidVqhVAoxII2I5HIT/X1BQK/sdvtWC8cKg5HFWez2SwymYyYm56Jt1LIyolvBAVF1AJgaaOWZV34zAQvgSRJiMViCAQCLN87FothNBphsVjAMAzc3NxgMpkgn8+jWq0in88jkUiIVDmBb9lutxgOh7i9vUW/30ckEkGlUkGhUBBFrF4Q3v3td7eHLwQF8MO8ZNs2DMNAKBS6eB0KwctC/QgSiQSur6/Rbrdxd3eHdruNTqeDb9++IZfLQdd1bLdbFItF0VlR4FtM00S328XXr1+xXC6RyWSQz+dRqVREe/IXxu9CgvCdoKD0HL8XEBH8TCAQQDgcRjgcRjKZRDAYZKnD6/UahmFgvV6j1+shFAphs9lguVwilUoJN4jAd6xWK4zHY/T7fQQCAdRqNVSrVWiahlAodOnT8z1usRN+Fxa+ERQ8b8G0JPg1VLMimUyiUCig3++zYlj/+te/0Gg0kM/nUSwWWSqq2LkJXju2bbNsp+l0isVigUQigXQ6jVKphHQ6LbKdXgC3gEy/r0u+GVVvMaJWcBhFUZDP51nzI2qK9M9//hODwQCTyQSz2Qy6rrP+IalUiqWkCgSvkc1mg/F4jNFohOVyCQCIRCJIp9OikNULw69HfhYShC9mTT4okwLzLl0lU+AdSCjIsgzLsrBerxGNRjGfz2GaJkajEb58+YLhcIhCocBiKyjQU/B2eY0p37quo9FooNlswjAM5HI5ZpkQFrjLwFdw9vO65AtBAYDtMIWgEOwjEomgXC4jmUzi3bt3aDabaDQaGAwG+PLlCyRJwtXVFf766y/Ytg1ZlkWjsTeM0zz9WkTFbDbDzc0NWq0WwuEwrq+vUalUkEqlXs1n8BNu7SD8WvDQV4KCL3P6FtSg4HHIsoxYLMaaIvHdacn1MRgM0Gw2AYDt7qjCpsgGEXgdwzAwnU7R7/cxGo1wfX2NcrmMSqUiili9ME4X/FuI7fOFoHC7cUJMCA5B8RWBQACpVAqapmE4HGKxWKBer6PX60HTNFZRkHZ4grfFa9lF7nY7GIaByWTCAo9N00Q0GkWxWISmacLa9sJQpWT+i9/w+nGD4itBAbwdX5XgdJLJJOLxODRNQ7VaRa/Xw7///W98/vwZnU4H/X4fw+EQq9WKtVEXAW1vB5r86d9eZrvdYjqdotvtYjweY7vdskBMqs0ieFkoro++nI3C/IgvBAVBAXReaV8u8C4kQslCoSgKZFnGZrOBYRgYDAZYr9cswG2322E0GkHTNGQyGcTjcZHLL/AMm82GFW8bj8dMLBcKBWGZuBBuzcH4tcmP+EJQUICLs7jVPkHh/Nmpu4+nBG65nZfXd0F+RlEUZDIZ/PHHHyiVSuj1eri7u0Or1UKv10O73UYqlcLHjx/x6dMnUWXzjfBansnVaoV6vY7Pnz8jEAjg+voatVoN5XJZpEBfABo3bnF9fg7M9N1IIzFBZbiPsVD48cYKHkcgEEA0GkU0GkUul0MmkwEA1hJ9Op1itVohHA4jGo3Ctm1YloV0Os0qbIoxJHhpdrsdCyru9/usPbmmaXj37h1UVRWi94Lw8wIvKGht8tuc4RlBcayvcp81gBQgld0G7v2KfnB5nNuiIvg1yWQSV1dXCIVCyOVy6PV6mM/nMAwDX758QafTQalUQqFQQKFQQDabFfEVghdntVphNBqh2+1C13XWKE9VVaiqilgsJuaLC+JWcNEPa9I+jhIUz5mL7by4h1TboRvhJij8EEPx2s//tSLLMkqlErLZLGq1GkajEVqtFr58+YLv37+j1Wqh3++jUqlgvV6ztFIRVyF4SRaLBVqtFjqdDgzDQDKZhKqqSKVSIk3UA+yr4OzXed0zFgqep5iCTkkbFQpe4ITGUyQSYQ3HAoEAdF3HZrNhbdEHgwGCwSB2ux1zlSQSCYTDYWFqFjwrtm1jNpuh3W6j1+shEAigWCyiWCyKrA6Pwa9Jfq5H4UlBsY9DCz8fUfsrgXBuAfGU4x37N0LsXB4yIxeLRSiKgnK5jE6ng3a7jel0ipubG7Tbbea3rtVqyOVyYlIXPCuWZWEymaBer2M8HqNYLOLDhw+o1WrCOuEh+IDMQ8kCfsCTguIpiyjfy4Pw600TvDyhUAjpdBqpVIpleACAaZoYDoeYTqdYLpcs55wmkHg8LiwVgrNCC9RiscB0OsVkMsFqtUIikUCtVkOxWBQ9OzyGm4XCjxwtKJ4rIpUvHnPKMWRZftDLg5TgOfJ9RVCkgJAkCdFoFJqm4bfffkM8Hmdt0Q3DQL/fx2KxQLvdRqlUQj6fRz6fRzqdvvSpC3yCZVksq2M6ncK2bUQiEaRSKaiqimQyKVJFPQJZzcly7ve1wxOj7hwX2a05GImKc8BnoTjFlYjVeHskk0lEIhEUi0VMJhP0+300m018+/YNrVYLzWYTvV4PtVoNu90O0WgUiqJc+rQFPoCEa6PRwHw+RyQSYZkdiURCBAZ7AH6N4Ivo+V1UeEJQnIozfsJLgS+HhIjg9UKujUgkgmg0inA4jN1uh8ViAdM0YZomptMpy/ywLItN+JFIROwgBU9ms9kwAavrOjKZDHK5HFRVFa4Oj+EUFcCPNeHSa9NzcNSsxl+Up/AcLoNjFudz3TDn+/zq//yAofPkvx/zHm7HO+a1gpcnHA6zAkLUGr3b7TJXyHg8xn/+8x/UajV8+vQJlUoFiURCxFYInsR6vUa73cbt7S0SiQQ+ffqEq6sraJomxtQJnHPDx6+ZzkQBL2x0n4ujt0nnXMROvXH7ylY/Z/GQx5yvs0rnMXU89l0Tvw48PxEIBFhb9EKhgMVigZubGwBAvV5nNQJ0XWfWie12i0QiAUVRXk0DKsHlsSwLi8UCw+EQ4/EYiUQCxWIRV1dXSCaTYgydiJt12ykA3P7t/LvdbodgMAjLsliquWVZrNiiX0WFZ+yupxbPosBML5RAfuxAOSSwzhG0Kng5qNlYqVSCaZqsVPdkMoFt27i5ucF0OkU+n2cVNtPptGjgJDjIbreDrusYDodMoFI30UwmwxrcCZ6OJEmwLAvz+ZyV2ichQLF4bkKD/+Jj92RZhmVZqNfraDQamM1m7Hh+ndMfleXBc26LhfM9HmsRoCwP6jl/KR6rPJ2f3e3cLy2QBI8nm80iFouhVCrh+voanU6HTSw3NzfQNA1XV1e4vr7Gx48fhaAQHGS322E4HOLbt29ot9sAgGKxiEKhgGQyKcTEmdhutxgMBri5ucFwOMRiscB6vcZ2u2WvcRMR9J2sEPR627YxHo9Rr9cBgB3rTQuKfR07zxULcQ743vOX6jn/FFOWsED4k1AohFAohEQigUQigVgsBsuyMBqNsF6vMZvN0Ov1IMsyFEWBZVlIJpMIh8Os2ZhAQFiWxRam8XiMcDiMbDaLUqkkilidEdu2MZlM0Gg00Ov1YJomW+v4+BQ3UUHWCfoi17dpmthutw8yEP065z/JQsHHKTxWVJwSnLjvNW51KM7Vd95NIBwTpOq0OLjVc6fXOQN2XqNFYl9cy1tHkiTE43EUCgUAYHUryKTabDYxGo2QyWRwdXWFq6srZt0QCAjDMDAej9FsNrHZbPDp0yd8/PgR5XJZNKU7I7ZtYz6fo9frYTabQVVVZDIZxGKxB9lZ+zbZvGAIBoOwbRvtdhuyLGM+n0NRFCY0zlXSwEs8KYaCX/QeswDy5v1zmvbd0kb5FrFPxS0o51di4hwWitcqKoDju8a+JajKJrlARqMRbm5ucHt7i263i3a7jWAwiOVyiWAwyK6dEBUCKtKn6zomkwkmkwlkWUY6ncb19TVUVRUpyGdkt9thtVphOp3CsiykUim8e/cO2WyWWRDpdfwG0W2zGA6HYds2vn79ivl8jmazycSfX60UTx6Jxy4cL5Vzy6fnnMus9NjaEc4+94cGG+GHQeXnvOpzEQgEWJOxYDDITKmKokBRFKzXa0ynU3z58gXj8ZhV2UylUqIF9Rtms9lgPB6j3W5jPp8jGAwikUiwQExRxOr8UCwEWRez2Sw0TXMVFIC79VmSJITDYWy3W4xGI1YIj9wmfo2jeFTaqHP3/VjLxGM49Df7rBsvlTZ6SBzQQKGYjuc+Ly/AW1lOzdZ5C0QiEVSrVaTTaVQqFfT7ffR6PTQaDfzrX//Czc0Nrq6u8O7dO9ZsTCwcb5Plcol6vY7v379D13Xkcjnkcjmk02kxJp6JQCCAUCjExFsqlUIymUQ8HmfBr+SuOFSTSJIkBINBBINBFlMVCATOYj33KkcXtnoNH55ftM8RlMlbYZyWil9ZHHghIRZWAY8sy4jH44jH40ilUswdslgs0Ov1MJ1OEQ6HoSgKQqEQFEWBqqpQFIW59gRvA13X0W630Ww2IUkS8vk8yuUy0um0KGL1DNB8TRVuFUVBJBJBJBJhzx+ARz2DFN9HMX6Af4tbvUhhK6cg4U1Fzp2t013ghpu7xWkFoOOc4l/cJyD2DQTqJ0IWisemvl4iduJc6cDHBKoKfobSRSlQK5lMYjKZwDAM9r3f70PTNJTLZeTzedHB9I2w2WwwnU7R6XTQ6/VQKpVQrVZxdXX1pprNvbTVc9+8/9T3pnUhFAqx59aPYgJ4ZAzFUwtOuS2U+0TFU4L6nFYBPsODzx/+1THcLBtOK8MhscOnFu3L6Nj3d/z3l+Lc6cBCTDyNaDTKzKu1Wg3dbhe3t7dot9tot9uo1+tQVRWr1YrtcGKxmAjG8ym73Q6mabICS5PJBLquIxwOo1wuo1KpvLnMjpfebDmD++nrKULemYXoZx49I53D/XFoYDzFRcBneQD3/q31eo3xeIxWq4XNZsPOmzc58TnDvF/LKSjIpxaLxZBOp/c+zL86d7drd8lF2Gvn85YhH2ssFoMsyzBNE8D97oZSTNvtNna7HcbjMXK5HAvYFA2h/IVt25jNZuh2uxiPx5AkCclkEplMBul0+s3VnXhq7N6pnMuFToKCYurO3QnbSzxpi/OUBf8xv3+sqKBFn79huq6j0WggHo8jmUyy15JKtG0bm80GhmHANM0HddaBH2k9ZK6KxWKoVCr4448/TtodeG3B9tr5vHVkWUYmk0EwGISmaeh2u+h0OhgOh+j1emg2m1BVFbVaDZVKBZVKBfl8XrhAfIRt2xiNRri7u2MZArlcDqVS6c1VVOVrO7xUWwU39/kpm2h+w7vb7WBZFkzTFILiOTnFV8XfMNp1kw+63W5jOp0CeBi9u91usV6vmaggQQHgpzoWtm0jHA7DsixUKhVWpEggeA4ovVRVVSSTSebemE6nGI/HWC6XLLWNBG8ymWSl5wWvm81mg+FwiFarhfV6DVVVUSwWUSwWPWONcqsp5MwEPHdA+kvFHTgt3uewyFOfKXJnCUHxApwa+MkPYBIPkUiEmZGpzHEoFGKiwzAMZn7iBw6VTF2v1+j1ehiNRhiNRjAM4+TPKRAcAzUao92ZLMtQVRWz2Qy6ruPu7g7z+Rz9fh+lUgmVSgWqqvreT+tnqIjVcDhEt9tFKBTC9fU1qtUqcrncxVNFyVVMu2zLsiDLMosDMgyDCd5IJIJwOHxSfyWa01+y6aOzjQNwmqjgPwNZKPgNrJ/wlKA4Ff7GUR8FTdNYyh2lAdFDyTdx4YUI/c4wDIxGIyyXS4zHY+i6znzbgudFlPK+R1EU5HI5xONx5PN5VmXzy5cvGAwG6Pf7aLVaeP/+PWRZZgL6LV6r145pmlgul6wi5nw+RzqdRjqdRrFYRCqVurgFit9oLRYLLJdLKIrC3G6r1Qq9Xg/b7ZaVrT5VENBC/JKCgm80eY4UT/r8dP2EheIVwAsKRVGQSqWQz+ehaRoLeqPUHT6Kl/87vhfIZrNh6nu73fp2EByDKKl9GSj1mRqMUZOxxWIBAJjP51iv1+j3+7i7u4NlWaxMcDQaRSgUOvs9o6BnChZVFIVVAnyLbpdziV+yhnY6HaxWK0SjUSYoyKV1aWzbZlaIwWCA8XiMaDSKeDyOaDSK5XKJbrcLwzCw2+0QjUYfFPh7Ki8ZiEkuCnrPU4tQucVQ8C3RCf53vBWDn3vJekIVdr32rF1+hJ4ZUpeRSASZTAalUgmFQoH1SHCa35w+QLrp2+0Wm80Gy+WSmfPe4mK6r6z2W7wWx/Jcu6lAIIBoNIpqtYpIJIKrqyt0Oh0MBgPouo5//vOfuLm5Qa1Ww4cPH1AsFqGq6tnN5LZtYzgc4h//+AcajQZyuRz+9re/oVQqIZlMvqh52gvwpf4P7cZ/NS7m8zlub2/RbDax3W5xfX2NcrnsqX4dtMNeLBbodDqo1+tIpVIoFApQVRWLxQKNRgPr9RrBYBCZTOZB/YXXAO8+51NGT8nyoK9DgmK73WKxWGAymWA2m2E2m2G1WsGyLAD3CQXhcBjxeByapiGfz3vOGumNUXoGeCsDKbhEIoFsNotcLvfoi045x9FoFIqivIkcYidu9UGAyxXheg24Baudk2AwyMovl8tlZLNZ3N7e4u7uDnd3d+h0OjAMg8UJSZLEJvVTrUy0cC6XS/R6Pfzv//4vPn/+jFqtxnaoiqJ4JnDwOaBrwMcR8DFYNAcFg8EH88avrvlut2MNpNrtNjRNw/X1NSqVCtLptGeeNVoQV6sVRqMRWq0WVqsVVqsVdrv7xlr9fh+6rrPaKVSy+jWICreAzHP03XBmIbodk1rUt1otDIdDTCYTLJdL1leEBEUqlYJhGCxbMRKJXDy2hvCNoAAeKkEaFE/dLTkDc/jMj7eAWy0O58+fE2eNDK9MqMfwnGKLP24ymUShUMBut0MoFEI4HMZ0OoUkSWg0GpjNZuj3+8jlctA07Sxt0ak8eKfTwWg0YsWXRqMRxuMxkskkksnkq7pfj8EwDOi6jtlsxiZ9yrYJBAJsoQiHw0gkEkgmk1BVFel0eq/Q2u12WCwWrIgVxSUUCgXk83nPpYrSBsM0TZYlR7FoZNl1ZtC9lsqQtHArisKeY77y8lPge3nss/gC9y6vbreLr1+/Qtd1tgaRhYesQ+PxGIZhYDqdolAo4OrqCvl83hPPnG8EhVNMAGBxD5ZlPdpkyOcfO6ul+Z1fuTdeyjrhhQfE66RSKYTDYeRyObx79w79fh/fvn1DvV5Hs9lELBZDLpfDb7/9hj/++INNbE9ht9thOp2iXq+j1WrBNE1Eo1FIkoTZbIbxeAxN017N4vEU1us1BoMBms0mvn37hkajAdM0WWrvZrOBaZos7bdYLOLjx48s48EJ1cwZjUaYTCZYr9eQJImZtVVV9dzO/tCmjY+VICvOa+qsyQsKiq87NSiT7+VBx3SDitd9+/YNkiSxzJ54PM7G1mg0YmL25uYGpVIJ4XAYmqZ5Yr70haBwxkDwA9zZUvyU4xN+Nve7PTgkyoDdEbZzAAAZq0lEQVQfDwcvuMjkS6bet+YauiQ0UVGb5UQigdVqhclkAtM0mWmaAjpN02S1LR7r295ut5jNZuh0OhiPxwiHwygWi1AUhWVCrVarJ5coduLF54zaiff7fQyHQ8xmMwBgbekBMFfIer3Ger1GIpFApVJBKpX66Xi8mXsymSAYDCKdTkNVVSQSCU+KCTfL7z6B4aWumofOgxdBtGkk9w6VFzBNk819fMrnPqsDCQhd15nQdFpe+WNsNhsmzBOJBBKJBMvuCQaDWC6XzApGGV62bWM+n7P599L4QlAQZCLiB/YpOK0ezloXfsPNxUCBQrPZDJIkIZ1OI5FIQJIkZvKcz+csKj2bzXrORPuSXHJ8BINBZLNZfPr0CYlEAsPhkKU9TyYT/P3vf0c6nWZVNikb5Njz3W63rFmVruss6FPXdVZ0S9f1s1jx+E2Al5659XrN3BLxeBwfP35EIpFAoVBAPB5nGTiDwQD1eh3D4RDD4RDL5RKmaf5kHbIsC51OB//+97+h6zqy2Syy2SwTal6DBCzNs4B7m24Sq7zZ3gvsW8xpficxuNlsWKzIcrl8ECdClhe+qrLzi4653W7R6XTQ7/cxmUygKApisZhr/ARZcwKBABOhHz58YKXWDcNAJpNBKpXCYrFAt9vFarWCYRgvYjk/JgbLd4LCrSjJU3Gqbj9Hr+9T7xQs1m632fWIRqMIBAIs2rvb7WI6nbI23G9ZUFwaRVFQqVSQy+UwGo3QbDbRarVY0GYoFMJisWC+bUmSHpSmP8RyuWTR57vdDpVKBe/fv0ej0WCm2OVyeXLBHme5Y688c7SLpFTddDqNQqGAQqGASqXCruNsNsN//vMfDAYDFmeyXq+Z65X/PKvVCt1uF9+/f0c4HGbX1Kvl1J29jyjA0JneSDtxcjuTG+i54McMbzFwW+zpHPnX0Pw+m82wWCywWq3Y/DabzZgFKhwOs8/DCwoSGc4+HZZlsfRaXdfZ+zo3vPwxKU1c0zSUSqUHLvxYLIZAIIDb21uEw2GWlfiSVqBDlkPPCgrKd16v1yzoh5Qw+SOdD6fTisDHQDzWfMqLCRIo5xAprw3btpnfXJIkxGIx1muC0mrJ/GZZFqrV6qVP+VWzbwdF350TptPcyk9ylKVEIk+WZSyXS9ze3mKxWGA4HOLdu3coFovIZDKsoqyTzWaDyWSCXq8HXdcRjUYRjUZRLpdRKpUwnU5h2zZWqxU2m83JgoK3SHjpeaPqumSRU1UVuVwOxWIRmqaxiT8cDqPX6zHRTTtI/t6SOJlMJphOp1gul4jFYtA0DdVqlT1jTz1P+u7mrnXGh+0bT865k+7xbDbDZDLBYrHAer3GcrnEcDhkgbq0m59MJuh2u9hutyz9ntwIzmvBL/5u49x5fvzfOps6Hop/46+JM+BSkiTWA2o2m7EqoLZtY7FYYDQaIRQKPbBQuLnW+WtKf2tZFgvUTaVSSCQSzAJF15VEJ50bv4HdbrcPrj0JtFgsBkVRXtTd8SotFIZhYDabYTAYYDabsZLXsVgM2WwWqqqydCTCaR7l/ftPUXAkJsic5wUf1XOxLxXUtm1MJhN8//4du90OmqahUqmwwl98mWAqvSt4PPsmRv53zl2W2y6Rvsj3SxNPNpuFYRjo9Xpot9u4ubnB3d0d+v0+Pn78iN9//x21Ws1VUCyXS9zd3aHRaGC5XKJYLCKbzbK6ExQRT7usc1ST9aKoIEGh6zqWyyULnqRdI+G0aLpZOFerFYbDIUuxDAQCiMfjLCPnsee178vttW7jxbkY8rtusj7Qojafz5n1Rdd1AECj0YAsy2g0Gkxs0IaPGpwpisIqEDsXfXovvkaD85nYJ6jdPq+bSOHZ50Yjl5Wu60z8LBYL1l9HluUHIoS/x27HpHmVKjfn83nk83lkMhnWZJIKhS2XS3ZtLMvCcrnEfD5n8RMUa9PpdDCdTpFMJqFp2ovF2hzzHHpGUNBNoos7n88xmUyYyXCz2QAAIpEI82tls1lkMhkWae5UdYcG1DG4uTzouF6Z5J4bqjswHA6x292nt1E7eMuysNlsWDEWyo/mcT7kx3DI/fKr1x37t/zP6H4+5lzdfs+bO50me94E7PR3OtOSnYKCPzZN7s7JmJ/8nSZoy7LYhDafz1ksRCAQYJUYSSS6sVgs0Gw2cXd3h2AwiHw+j2QyCVmWYRgGNpsNSxGkf1MA27kCob0AX3aafNf0DOi6zgL2FosF5vM5ACAajbI6ATTp73Y76LrOxB3thinlko612Wz2WhH2fTkXYqco2ydAnTts52tokaPzG4/HzDUgSRIGgwEURcFgMGALMsVUkKVZURQmdPnng38vCgB3Wiv4z07wf3/onjmtEL8Sq1SQyxmASveId1s4vzvfgwLVyTqhaRpyuRzLzgLAxhTF2ZBwGw6HiMfjrKQ5VcMdDocAwER9IpHwzGbXM4KC/FWkwtrtNtbr9YP8btu2MZvN0Gg0EAqFcHV1hb/97W8oFAosv37fRPTUCYpcHX6OnyDcPh9fOZQmG/53/O/53ijAw4eZn6z24WbydDNd/moSdbNKub2e333xpkXnou+2C3JaC+i4dEz+/ek6OQWHc8Ki3/Pn7RQjzt4z/Pnxn4XfOdHvDMNgfRfi8Tji8TjS6TQikchedx5FkbdaLdze3rKS3tFoFM1mE7Iso16vYzQaAQALYDNNk1n4/ALdX7JSUODlfD5HOBxm4ns6nWI4HMIwDKiqygKVyYVBbsTb21t8+/YNrVYLy+USsizjf/7nf9Dr9QDcu5r2PQ+/2pnz48Q5dx06hvN4zoWXAhapjwcVWJrP5yz1Vdd1rNdrRCIRFhdAgZkU0Mk/c25ZIfzzw8+/TpHO4yYY6DNJkvTTPL7vGPwz6fz8zu9OK5Tb7+mzU5VLKqPPZwVR7Y71es3E5ufPnzEcDhEIBGAYBlsbN5sNarUarq+vcX19jUwms3/QvjCeERSkwJrNJr5+/cp89uTfDYVCLA2OTK/L5RKpVIpV6APwYOA5H5Sn4HSh0KTvlVK454J/UHko2pk+O6lpSZLYboIWOsMwmPXIucOihdQZvEXfeSHg3Ck5d0tugVb868hsyn82t+PxTXroXPjqh07xwI8lPgiLfs5bCpwTolMw8JMcudN4UUDXhV+U6bj7zOj0NxRl77SuybKMZDKJeDyOQCCASCSCZDLJFjw3fztlcAyHQwwGA9YNU1EU5lJptVpYLBZQFIXdfyq97CdBwe+iV6vVg3RPipcYj8eYTCawbRvRaJSZuPnra9v3qYT9fh+9Xo/52MfjMT5//ox6vc5iyA5ZJujnhNPVCzys0Ljvi/7WucA6RQCNUadbgn8e+N9J0n3MWzQaZXEDdB3pPWkHz2eF8PN3IBBgDR35c91X/8LpauJf7xYH52ap2Ccm9nHM65wWdP65sCyLWb1oPqUS5jS2KGW72+1ClmV8+PABlUqFVan1Cp5YFU3TxHQ6RaPRQLPZxHK5RCKRQDQaRaFQQDabRTAYhGmaiEQizL9lGAb6/T5isRgzKfFuCf7r0M12ig0ayMBDMzbtTtbrNaLRqOsu1vnewM+7STf/IH8eToVOOFW8m0g6tGvZd034hdZ5nWazGVqtFmazGWzbRrPZZPfGNE2MRiP0+32Mx2OEQiF8/fqVRbOTEOHFhNsumr7cLBD89XC6E/ZZMXgLg5vA5K0JdI70gLuJB36n79x50Pu4uS3oevKTMW+dcAoK5zhyCgr+HrlNnHRe/ATNT9rOL+q+S9YK/ji2fR9M1u/3MRqNYFkWS3mLRqMswhwAq4MRDAax3W4xn89Z8KafcGvc5ByzdC0obqVYLKJQKDB/OXB/X/nCV6lUiv0tuUdofPJjbt+cQjjHOv3M+Zy5mebdBAYfP0buK3qeKTB1NpshGo2y2CoAGAwGWK/XrEpoLpdDoVBgKcpOtwGfiupsGR4IBJio4Z/BQ59h3++8Km6p0R4J9UKhAEVRkM1mHzxXoVAI0+kU2+3Wsw3CLiooaHCSiefbt2/o9/vQNA1//vkncrkcVFVl5iHbvg8QTKfT6HQ62Gw2GAwGAMDqI/AD37m4uOG2qNu2zQYl7cLI1LdcLrFYLB7sJJ3iwPm+/ILp5it0BkW5LZ50DLpm+z6X82/583NOgPTgOoOv+PtDAXm0O/38+TOm0ykLxNN1Hc1mk9U72O12+P79O8s759/budDz7iQ3cyE/QdCx+J/vmwh5y4Bbzjw/YdHP+AnLeV2dk9W+nRH/nY7PCwq3HSFdBzdrA10np9hwHoO/Zvzf7NvROf9N5lh+YrLt+wZgdO8jkQiq1SrbcVMrbYqXoEwGSZJYamk6nfaFqOBdZHyRN+qrQBuZQCCAUqkEWZYRi8VYfAof0Q/c359cLoe//voLlUqFuQUkSWKWJeDH+HQbb27jnh8r/Hu5jTu3Z41n35inuWs0GrFdczKZxO+//45Pnz4hlUphOp1iPp+jVCqhVquhXC6jXC4jlUpBkqQHmQxuIsB5Hm6/czvvQ5/p0Ibykux2O1Z8Ttd1JJNJlEol5HI51sdFURSYponb21sAQL/fZ8/earWCLMue6Z9zUUFh2/dtkKk6GKUcpVIpfPr0CaVSCZFI5MFDkslk2IPc7XYxHA6Zz5Yf/HSjptMpyx3m83Z5f7fTskAToyRJrPofPUjT6ZRNsIcEBR0b+NnkTZYO3jzICwq3wDrgYTwDvzg7rQ3O4CGnUOFNjjRJUGqu07qx2WwwnU6xXq+Z75fMkJIkYb1esx3pbrdjwoPfwTrdFPxCyu/QnbspfrHdN8Hx/+cnVH6nzjdocltQD6UF87sb3nXA/5s/Dv9eTkHhtlvkJ0wvpSUbhsHqWNCikc/noWkaisUiW0QpCHf7/1MDA4H7XP75fP7A7fSa2e1+9K2gvh3hcJi5i9LpNBtvVJE0FosxS4UTSZKQSqXYQsE/54fGh3MMu73OTZSeG9M0kUgk0Gq1WExAqVTCu3fvYBgGcrkcAoEAix+hZnan9pHxI7vdjwqZq9UKuVwOV1dXqFaruL6+fuDOkGUZ379/x2q1Yi62zWbjKdF+UUFBpjMSBWRK1TSN5cU7IVOhJElMWCiKwh5qWpjX6zWazSZs22a7hEgkwmIfeB868GOx5hc9SbrPS+52u9hsNggEAqjX6yy4jcdpmiShQBMNHZ9/D6cFAnhoOncTE/xkwv+ef2+y5tAC5yYsaAEjs70zfYx2rpvNBrIsswqI5XIZlUqFpcpR2VfLsqCqKn7//XdUq1WEw2F2DZ2CyzkB8ovyryZJtwnV+W96nXOBPzRRO1/D4zapu4kaXjzwuJ2fl+F9/O12G7vdDtfX16hWq1BVlUWoU5YHjSHKyKI0Qb+kENOkv1wuYds2G/ulUgnVahXpdBoAmNCORCLM7+8GWSLoujnda/Qa+r7PKnEp+EqYTvHvdJPwMRiCnyGxSvWWyLrlJkbdXKNurvFLcnFBMZ1O0e/3sdlsWDfEfD7/wOfIs9vtWMR0MplEuVyGLMvIZrPsQSPRQOVOQ6EQ4vE480+S8Fiv18yyQQ8HLar0kFCADP271+thPp8/2E3Sd34xoRvtZnbft7umxX/fDtyZcbJvkiHrBPnInbtmOmd62PlFnz5/KBRCLBbDer2GLMuYTCbYbrf47bff8OeffzIBR9Hs6/Ua1WoV//Vf/4W//voLkUiECap9A97t3I81V7ot+scc/5i/PTRhHzqvY87T61DqIqUCU757oVBgJm3e522a5oOFcbFYsLRBv1gobPu+8JCu69hut6w4UblcRrVaRSqV+sn69qv7vk98Ol/jRXiLI29x5buO8vOgM/tL8AM+QHy73TJRGggEfmpq6bRmeUlIEBd3eZCFgsxo2WyWWR3ckCSJqf9oNMoWT1LAkUgExWKRFWCh8sJ8dU0SFADYgsqndPG7aEm6L03Mm6+dUdN0Xvxiz8cK8ILCKSJ4Ezpv+nfbpfO18ff5RnkrAAkK5+vJAsEHWwEPLRgkwiiGIh6PY7vdIpPJsEBZuhbJZJKlRGmahnK57NnJUHAY27bZxBUKhZhZX9M0aJr2066bXkOxFFR/wRmT8ZohQcFXPKQMmXg8/mBeOBY34fzaIPcrH6RKmyjaSPCxYoKfcQar07rmdPUDP9Y+fmPsNS5uoSBBIcsyM6dGIpGjFL6bCTmdTuPPP/9EsVh8UAaYr3ZJi6pbxgGAnwSF8z2dC7nb+Tgj9d3M9m6iwU0kHPpyXhP+vQ8F+/HvyUOCilr47nY7hMNhVpSGrBpk9nRWj+PPQ/D6oAkuEAigUCggEAgglUqxTCs3yOVIrr50Oo1sNuuZQLFToUJDVNSNguD8ljp+LDT3kKuTTx+nzRllJqzXa1ZPQ/AzvBALBO5TuSmLzilQKYOISiUcsv5eiotneVBQH8U3kPp66vEoVqJarT7wLx3yP+5bpN1EA//d+Tr+327xDW5/63Yul4b35fLphbzw4i0cvOmWz5IRvF4ofY1imShC3w3y+9Lv6W/8Iij4nXggcN8cLx6PIxQKeW5Cfwn4udIZSM5bkIWF4tfQ5o3GE1m93CwUoVAImUwGhmEgnU6zzZwX1gzi4oKCHlQyldEO+BDOWgH8QkeLnPN9nHjpJngN/trw2Qs0KdB3ul+UD+1VM5zgeCi/XZLug555M+w+KICXoMnRi+23nwLtHMkVK0kSy254i/OIW5wIH8ztrINCfyP4mWAwCE3T8Mcff2C73aJSqTDrg/OaxWIx1tU2Go0ebOh3KS5us3MzvR9S/bZtM38t7YRpYTsUVS14GnSNyf1Bpk4KQCOrEqlqcn8IzsdLCmJZlpkPl9xYbq4xt/OhnRZNiF6a6E5BlmUkEgm2E6cxn0ql3qyApk0GH/RNP6cYE9pknNLT5RDO5+I1zvOhUAilUokVN6NMRzdisRiurq6YpYxEm5ees4sKCgocpBRDSs06lG5mGAaGwyHLtKAJzEsX1U/QbqxQKDBTGx/oqSgKcrkcarUacrmcawlnwdN5aXHGBzg/lmOEx2uEXDr02WgHTvPWWyQYDCKdTqNcLrNqqyQmVFVlQkLMz4ehNeyY8tlu1nevcdGzI39kIpFgRaN6vR5r8+rGarXCzc0NGo0Gkskkrq+vkc/nfeOv9RqSJCGfz+Ovv/5iWR7Uepfu3/v371nDG+rSJzgNt9QwPsbnUCou/V7ch/NA45wsoIeCnd8KoVCIxalRB1pFUZBMJlGtVmEYBouniMViT46LOwTFcNC/BZfn4oIiHo9DVVVMJhOWcqaqKkql0k+qjRro1Ot1fP36FYVCAblcDtls9hKn/yagind0L5yNfMLhMKrVKssIEMLufBxjnXAKDmfpdDHRng5Z4mhRFNf0oamerJhklaDOq8DDBmDPgbgX3uKigoJSRcvlMna7HTqdDlarFYtezWQyzHdvGAbm8zm63S5rlUw5uXxrYMH5CYfDD4SCM2iT2lkLno9jJk43n7IQFedDXMcf0HPPZ3/xcRSEsCC8LY5ehZ8jACYYDCKXy0GS7ptwtdtt1qluOp0inU4jmUxClmXWQ4P6auRyOZTLZWiahlQq9SwmNYGYCC7JofRknn3PJokJPwSvCbzHscG6grfDUYLiuQLDAoEAazI0nU6hqiqrRjcej1k3NWrbOhqNmAm+WCyy1r9CTAgEAsHLIsSCwIm0O0It/CoA7KnQDso0TQwGA9TrdfR6Pei6DsMwWG0K6hUAANFoFLlcDpqmsfbmfsl39zP7Cn0JngZfmdStqdQ+xLUXCATPxZMFxTknJr7jmq7rmEwmGI/H0HUdm80GkiSxDIJUKsW6h1IhJTFJehtRWOy8OFvME/sqwQoEAsFLcJTLw80Pe04ovYhSjCgIcLlcYr1eA7ivvkdCgnKeBYK3ilvKnBATAoHgkjALhVeicclaYRgGa5wCgFVlO6Y0t0BAHBLClx7rbjwmgFK4kQQCgZeQdvf8+IGYmAQ+4leWNa+Nd+EeEggErxW21ReiQvDceGWM8dY4L9VpED1QBALBa8bVd+ClSVbw+nFWbyQuPcaOqdMgngWBYD9ecZULvIH/OvkIPItXduDHBjFSS2b6/tzn73Y+T52on/N8X+JaCLyPGAMCJ0Hg+Ip8AsEpXMLF4PZex5wDLyQAHExPPufnOUdtl0OVMw+9zzEBoXRdgMPXRCAQvD2YhYJy2MUEIXhOvJDi+KuxTouy0zqxb2fulZ3aPtcS/f+QZeHYz/WrayF4O4i1QuBE5F8Knh1nnMJrmYio6RH9+9gUTucx/IYXRKHXENk5AoEQFIIXwquT6yGXiLPx0TGCgg9SO9bF8xyBbce+51OO69V7eQn4++4sgf4WAnr9/vkEj0MICoFgD7woeAnOtQDxi9kpx9sXJCoi+38ICIonAd6OiBAI9iEEhUDg4LFByudcRE45lrNtudvvjvn7c73Oz1BFX76SL7XzFlYcwVtFCAqB4ETOvXicKlB+lY0i/P2nQ9YJ0zSZkJBlWYgJwZtG1KEQCM7IUxaTl16AxIJ3OiQcZFlmgkIgeOsc1b5cIDgXwv9+HoSV4XLw8RO2bbMAXj4jSCB4iwiXh+DFENpV4Bf2iQghJgRvGSEoBAKB4BG4ZXMIISEQCEEheEFeMgVTIHhOhIAQCH5GRBIJBAKBQCA4GRGUKRAIBAKB4GSEhUIgEAgEAsHJCEEhEAgEAoHgZISgEAgEAoFAcDJCUAgEAoFAIDgZISgEAoFAIBCcjBAUAoFAIBAITkYICoFAIBAIBCcjBIVAIBAIBIKT+X/u5wa7a93ApQAAAABJRU5ErkJggg==)
If ∆ ABC ≅ ∆ PQR, then the value of ∠A will be,
![](data:image/png;base64,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)
If ∆ ABC ≅ ∆ PQR, then the value of ∠A will be,
![](data:image/png;base64,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)
∆ PQR is congruent to ∆ STU (in figure), then length of TU is ___________.
![](data:image/png;base64,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)
Congruent triangles are triangles that have same size and shape. This suggests us that the corresponding sides are equal and corresponding angles are equal.
When two triangles are congruent, all of their corresponding sides and angles are equal.
∆ PQR is congruent to ∆ STU (in figure), then length of TU is ___________.
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)
Congruent triangles are triangles that have same size and shape. This suggests us that the corresponding sides are equal and corresponding angles are equal.
When two triangles are congruent, all of their corresponding sides and angles are equal.