# Deep Learning and Convolutional Neural Networks for Computer Vision

Source: [https://docs.qualcomm.com/doc/80-63442-4/topic/deep-learning-and-convolutional-neural-networks-for-computer-vision.html](https://docs.qualcomm.com/doc/80-63442-4/topic/deep-learning-and-convolutional-neural-networks-for-computer-vision.html)

Inside the convolution and pooling layers of a CNN

Why do we use the biological concept and term “neural network” in solving real-time
            problems within artificial intelligence?

In an [experiment with cats in the mid-1900s](https://www.psychologytoday.com/us/blog/brain-food/201404/the-cat-nobel-prize-part-i),
            researchers Hubel and Wiesel determined that neurons are structurally arranged so that
            some fire when exposed to vertical edges and others fire when exposed to horizontal or
            diagonal edges. The concept of specialized components for specific tasks is the basis
            for convolution neural networks (CNNs) in solving problems like face recognition or
            object detection from an image.

## Convolution and filters

Convolution is the operation of two functions that result in a third function and a
                resulting output function. It is achieved by extracting the features from an image
                at different levels. A feature can be edges, curves, straight lines or any similar
                geometric characteristic.

CNNs use filters – essentially, arrays of numbers – for feature identification. A
                filter should have the same depth as its input; so, a 6×6 array representing an
                image should have a 6×6 filter. Filters are also called neurons or kernels.

Consider this illustration of using a filter in a CNN for feature recognition. The
                sample filter below detects a straight line in an image:
Figure : Filter for detecting straight lines

![](data:image/png;base64,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)

In the images below, that same filter is applied to two different images.

The first image contains a hand-drawn line – the numeral 1 – and an array
                representing it:
Figure : Applying filter to an image with straight lines

![](data:image/png;base64,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)

The sum of the products of the two arrays (the “resultant”) is 38,100.

The next image contains a hand-drawn numeral 2 – not a straight line – and an array
                representing it:
Figure : Applying filter to an image without straight lines

![](data:image/png;base64,UklGRpRdAABXRUJQVlA4TIddAAAvuIs+AWfisG0bSYpsJxns9l/vc9eEwrZtm9pWOv8/twjDtm0j1bL63v7z3vwTTNJU2zE1xqd/TslwCsX/UVz3CSrCDRRBfRYZ/CFo32GXOrompyi4AfDAzAXQpUi9F3Vkio4gT7UlMCwCW1t52NrKw67DggwFEmZvGuEUjkRBBI0kBKWmUM3klCmnzjpkKJBwvw8KFCiMBLltJEmSFOG/1ZlVNXu+I2IC8C+FLckCZPCh5gxL2iRN+hlbvAQBPHPoXKg0bLpVQdlT6JEQta3K0QcGxxDgwb5AmW2JNgVU2w+V2YUUd4brXbcAlLSn3T70PkmTZqigDz5S8MxxqOI7xcvE4QU8fWMwSZokJDFogSZpQturf3ksStveRlI12jjN9hK2OWionEPX0htqyDBL9aai4f4vyAzTv/R//iR9nuMQ0X9KkCRJUiTLDqmlOb3NuaFJhn1RbCNJkiSpsfqrel8+ZZ4+i7g1IKL/ciBJUiTJbcSnqGrrez7SPK22rTXbtm2bVWFLQUJIQbbLi1iI3AqmICmIiEhuEf//H9oy15xjLnVzP/dr3899roj+W6OtN2wb6SluZ+ak3Q8ABVAURcnO/vI/bZvXRpL2wW+EQqMIr1yD5ovsoV2h8tCsuxxFh0oxLdpiW3SJ8f//B5WBvO/rTjAi2azMiP7TgmyrbistxGji6wfsk7Nly7KMrXyF8fY1+Y/+03/6T//pP/2n//Sf/tN/k//oP/2n//Sf/tN/+k//6T/9N/mP/tN/+k//6T/9p//0n/7Tf/pP/+k//af/9J/+03/6T//pP/2n//Sf/tN/+k//6T/9p//0n/7Tf/pP/+k//af/9J/+03/6T//pP/2n//Sf/tN/+k//6T/9p//0n/7Tf/pP/+k//af/9J/+03/6T//pP/2n//Sf/tN/+k//6T/9N/mP/tN/+k//Tf6j//Sf/tN/+m/yH/2n//Sf/pv8R//pP/2n//75j/7Tf/pP/+m/yX/0n/7Tf/rvn//oP/2n//TfZBtNnnyGtOoh+trywmz8L2vdyPv/rgfP25fx8ulsmUlMVeJKutTLf+gsD+4b1/za8uQ9JkZLPPUrwIfLsnzvWL/HY5rTVch+ybvweban/vnIdgkzgVroLFr7nzn9J7w5RX78PnQOVRNP/QokqnVaB9uuFL44Y6b9dLbp15sp2Vfvi/lneSyvkPuIlRho58eQcniJag8ofHHGTM70In/BpjXkWQijd5lAT33cVV8qZNYUyWeGvbIQ3GOKH7RAR350oUo8XdJXKzZj6Eryt2gzkqi8oTVdh8oXZ8tMgZlW/YvWyarXlJnRORCbRjayIB2GOgAHEpeGaJkKwoPXrc6lRrau/OhClXi6pK9WbMbQleRv0WYkUXlDa7oOlS/OUdFpGUv7ie0vNw3pnC+7uoJigY8X00W6Qvq7FkfuY1LyY1yjbAA7QOWLs2Uu5O8gf6j45caq73q8n4E0clwQARRkhHeRR/4VACU/xjXKBrADVL44/0VXIZwB3uWXG5s2U45X7EMs9Cw8cErgmQAg5MfIRtcA9oDCF2fCwCO9jdNNrH+9Mds9LZGDtMTHasC5qwGznTCHLos7fbIi3/wfODVyTUX9X9Jo3Dn144pLjk292cbm9oTebFQw9jatLX98C1IYrLJ3BMFDoUTtVrXxXrT7+5c6T9Lodw9060CDMxnYSh7EBSC4vxS2mRJFiiOBs3NfPodh9I+rAPA++m/bbJaUqbAp8M21mU2RLU2RhUnW4RaYIqHLobyXMRydZevC+3+gjUw2wnhgQ6bKWcQ8b0SF49vMQJdJzPuV5JtZ6y6Xz9yLEFGK2NsESRP1cUH1m1F5ilAoZPJ6SbwyzlkejOeLtkq72w64ZQaRmo78y28CgPCb3wk58SjWwXQHautpWajsvxbUyqxhgVygMRT3Fy8/pYqsXnTyNSmO3Fh1PDjeJTQATt7FkedmlyDR5h7cjtLZTa730aI2f8Ud37/Aa47RAaGW1IEa0mE2OSWdqB+Zct3SK2wBAxN+PAo0ZCnQe/6TQmQLa2Y6riLfxky4MylxjU4pLZ9jyrvXXfRF3LJIEwpcJumkgU88YE1kOuNFtNp70UNaiPLXYqDRpk7IiUezDpY7UFvPzUKgm5rzqYgBdIHCUG2usqXiFdVKf2lSHLGx6niwvItvACp5QqrihfWwv2C6usn1PmrUBqyC7WTTe3XKNCEQIB3WS8/W0jsly73CFjCw4sEMGS9SNSuEyjUmgqhmDflUuVj0QKU6e3GwUPhkSiVh+aJzutiDUmhfg4YeU2gGonWo3YEPMwuBXjmc+VAXwGj9ZaPoAlt0aFIcDXU8iN6FgMlrKapUtRpc7yNHbYLyM6rL9ulTkSJxgHS08gMMFi5kaCxFh49VhrkFKc1CgnTc04toZ+Nf/uKczK/q4sIJQpWy9oql30aQPAJDgZMzcB0MoGOiMl76R412iByFj80PkuEjOYMV7gDgIyMLsR0Nz3ywC1BDFf5SuEAh38wUKY7WWHU8qN4FoJKnSVVhBN3uAa730aM2Yr90zteKMLGwW4vomBKnULW9OVMuCdgVtg172yGFYQsxxOj80JFaUosK86a3tkocE/3Kd6ulM4F1KtySp1PqmnOpe7PGOQ2dEa3IJFVNKDCZEksqKXYahNp4ppOi1i795wlFOGzUB8RMAllH1ys3qK1nZKGMLvPhLgANVfprubC2OR37DJPPgKc4WmPV8aCKCSDKC0XCyFOlqgsYZw9wvY8RteEqE0Z1L+I0GrZGjJCOTDh3PqV8yUpFE3J2+FhhWCENHzX0AIYn7YXZrhfv8jPh5qRjRjyhUMpSS2eie3BZCFUosFUkJCpZsRMolfE8Ku2Cjb4OIcPzZifJhO3/GBATD2Qdf/1M3rsKLoOQ3Xxyp5q7qFyAGKoWWQguCDnrgh7uGOMpjtBYQjxo3gUTRH8AUPukyGFx9gDT+1ghHq0mcqWqNDqVyBSwjl4+FRscmJpxkVepp+CGjfLUk5pTxZyml4qS+ZZ/EfvMPpSyA5Ps+FohowiFPyZZce5EyofxRI5OO4+vVx3aHGT7DIRrHQQXo4HLIC+7ucoFCFqRI2hbrQRNcVz+zfEuAC8pLriHWMJYfL4SPO/jRW20qqTEPtEqI5FGsI6cLS3OyWwKV6BasILghhRAHbswi+Jwz8oomH3xLT+VDlu8KAU6OXSmi4gqFN4oUMVNZBrjeffptPN4ehWRXgBaxz9DBrAMklNPCu3mOhcAhupEQi6w8P5LtDApDsg/Ed6lTlSWAhRyRklWgud9zKhNU0BeH8UKnEu0ButA5ok08gnyQlql3gE3JAFqbM3oYvov4tHN6Fl+Lq1fqVfq4ghl1/wRUYXCC9w1w9iiMhrjeffptPukcTp1v2EAWsd/OOAyyMturnMBYKhWZALYttRTpIZLcTj+w/MuGVReDzACQVq8A/A+ZtQGq+AOGIuTIgVMhKksUN8y4ehpgRJWqUcxh5HrEwhSaoYJKcmNZ/mNM9Onat4m+FGKOCwlHhBQhsIHrp0pGBSV8Sw67Tx+Xss3ajkbaR2OAySDILkXbDfXuQAwVCcSTCVmeqQUh4HrXSK4z0WSiCcjNWEdmN7HC/FgldNVDdgNHd8DddTQgvA5W7L4k+oVXz8wQ7jp+JmwCes1gk8E4Fs+txJ0kteTF6WkFkKFV0AZCk80UGAyeibDg/HE4UrtLP5eMrg3GEDr+BcLWAax8hS7uc4FgKE6kY5t/kFSHJt/cb0LocVSnEi2GegdAYR4rlo+0e3iE5OoWWqiEjrlrjEE3TKmtwGVtsq3/DEVpPRapf5QhsITNURFFHtDqd0HwrIdv2MAWAcGXAZ52c11LgAM1Yl0bPMPluK4QLzLQ6KqldQbBBDioUqV6EO7Nvzcd3vT0nGfbZL7xpYq4cVUPwuNqNgvuHafFO7f9vsOdgb9rIAp7v+TcMEpdHgcjsuJMEZB64nMgG0UkE/k+5Zv5CGi2DG4Wqd0G1Q+MYnML7h2HwjrT1f2mwaAdWBgZ5AvCoLOBQA6kauBpjhBKgBw6lCxOwAhnq3vclMiJnnab1xU6DoYKU/L3CSQPmG8nl430gw9GllFUMvHH3u1ziiJTqk/lKHwRO+cC0EW8POGUrsPFvfWOr9rAFgHBlgGaeWlBNYFPg0tFApzJR5THA+IdyGJKhVDszvIIZ7LjmusAufb1yokhQvP9Cn0YxN6HZtzYZkCQfVFRWih+uhTvuzhitriKl0VZSh8gN4Yq6fr43tDqZ1F/fptg8o6xMBkkMCk2M0ZF/gBE6lLJRYkfKY4FlzvEmES8cQzht3BDvFg/dJOfx68mYoXLAXKTkGRbisFrJmoNaRRkXE4hyGJd/lIxasZpWuiC4UXOMWAfZU/dNo9MF6cj77v9w1K65ACl0FednPWBT4MFUV6sK0O+SLgMcWxYHoXRg6cggj7Qxni+SyNvDIy/6x7owb5fiT8kskU8UEOJtpT8EEtf84BVmUjT6gj+Vbf3uWPk1xCDVfqkTzShQIgB2nAp0ELkz902vWMifP6bcPHkGsdKD7iMoi1UpbXflIULsAMVYhEU0lP9lHV/B0wxSn5qAbiXViiMj4Ivsk3ADfE4xQ4ooTMfCm8sFzkR1pykEpKU/kbR18Scf3ygvNMcL+kh2uafMv/dkEtjqC1CqVeGGk/RhkKXKZoFlXcS4qLyB867Wp66vUp+k3Cn631DIrEY1sHHWXrcRnEWinu5omDxgWQoRqRmAtaorDm/SWjSHHdjVXD8i4QS2ki5l6e0PmLbVcg2CEepNQTU4WJNcmiABhXK0bnIVIZhFqXX8QP80dvSOI+O18qFkqisiVOc8qj+ZZf0WcYFCrxojHYS1+dVMpLGy1tloxoKBQyJXpecZtRRyweUWkHAaLU9tL2XBJ0OcD//klLPIZ1MKDlIyeDpH1GuZsrXAAZqhXZC7YFxwWQfA44xdEa244HS0yY8ZN7T32huXz6QucvoV1B4Id4kIIqmuJIovGCFU6Rurhv2yCTWBJuYUsOH4YkRc2+ww4Gxwruk3VMvcsP3KPEW0N7IbXKYB28510vgKHQyGTMkkb0kiy40sbIIyrtatJPdHsuC/7Z8YtJSDyGdfAgtB6QQX4yH+4CzFCNSMEFgXNBq5BvZoanOFpj2/HAiAknqsD4xQs6f8ntig0gxFMVKUWtYu5O5gcrxHXnaVGCdI0sakNEU/jB7lp+Z0re5Qegc2wqg/0wJazUHgyFRiZjFtIBcKYF+ESjXc8nzDNZ8GvHLyYl8cjWwYTSen4GqTJMxezmsAtAQxUi4Z65of5ygVMctbHteGDsXJuoavOCzl9yu+LDDvEcBZWFRCMpTBDqD3S9imTGb3yvTNckUhGUFApf1bKG/DoRyBeFUm999TFhj1/AUGhkymb1F55sjLyi0P5bCeV9w98piUe2DiaU1vMzyFPmA10AG6oRibngYkr5ihRHbWwrHkwxZcSnOXDnx/jBh7+s8A41asP1zSww9fqUCb/0G6DDeTdoCfsUIK38sO4ZVD60hixcsbRqknos/FTTvF9Hvk315ZOTrlGqMamWpvlOTn29NLpQ4DKDYNZCnMJ9zhMejTdDtQNncCqEDOXB6+ZmIXsvAiU/fv/4P41fTHXisXOe3C916xEZ5CPzwekHNVQjUnIBo1MpH09x1MZ2xAMiJpSorM0dC7795IAnmYZEROcvuV21u8n0PnLUZvSHYKytq1zz/klT9Vs50PwUlN41VsZsauqismbxKl/cxqaussraxZdSLwa2TT9hofAiE3AKMb3xVHDV2n9PFW1WJhEzWKD11AzynvlAF8CGakQiLqi+XaDMI4oURzUfGTsHLHCvYHfxHefV2h87xLPwMq56fRTCn4cb+OCWf4ts5Exw+2cqbZUadFJ1+muEhDw+xx+noE962tNHlflbhIasbPDnKezjDci/V3990DbsOsXTn6lMn9IDUizZ518h/947y6dd6K37/kzFamfFx56utZP8cbJs+++AT460TX+qYgF7y2R/ezB+srTRH6ss+V8lL+CDZ7Y2+nMVs0Z6BIQ2+ltjg+5NnhTbuUjrj8U3PdzmF+e/FH+F/BP3Iw/6U/a0qplF/719++c/+k//6T/9p//03z//+ec/+u+f//zzH/2n//Sf/tN/+k//6T/9p//0n/7Tf5P/6L/Jf/Sf/tN/+k//6T/9p/8m/9F/k//oP/2n//Sf/tN/+k//jRVVMRDlx92y/KrO+PM8z4fyccFi7ZblqTzjz/O8v95DGpiVclE+BpaXQnHynz/yS9IBKOuO99UZPxaT9ZbB6rgtz/jXgBiKu0GxY6fO+NtiElnEX8kz/uQ/+m/yH/2n//Sf/tN/+k//6b/Jfyb/mfxH//3wnx/wUxbOVfZ0Cpe62Dn1V3HmtqkrSls5ZZ7Gy4BbfJweKrs4RRpHAa74OC3s4JQ+lvkeW9PS8s0hWQZyJUoO1m4OSWu7HNkTLNxUu9bl5U/YVdMV+2zj3OPzWQdi5CO7eSsHmVdnZiqdNCy8Or8mII4BIBmf5TAMKWj5diE0ysDOVxZ5rNdxWzhMU2Sr9u/1w1meoPlzGbtmnp+SIiKo1OmkYeHV+SWBcewOy/g8h2FIQcu3C6FRBna+qKjSKNCtLPN6cuKy6fy1XuzFyZk/nPi9+Wvmq9HHm0Grk4aFR+d3BMexNyzjcx2GLgUu3yyERhnY+YqiSgItS5TW0xKXW9Wv9VGamPlDLJl5njnORIheJw0Lj86vCJBjZ0jG5zsMXQpcvlkIjTKw8+VEsQ20LVE6KfEQqFhchEmZ/4rlffnOleqPNw+9ThoWXp3fECTHvpCMz3cYhhS0fLsQGmVg52uJQrVJvYZXMx1xDBpkl+9NWDW3VhQmZf71g9r27OzulOaXUI/i2YNOGhYend8QJMe+kIwPcBi6FLh8sxAaZYidHwXxcLQvcTkVselcr31p+u9Zlhj5mGVOPPBnfEuXmNQgHzppWHh1fkGgHLvCMT7CYRhS0PLtQmiUgZ0vI+ok6EXZ+UmIU/MlV4rl1KMsIfNvwpzMF+Hq8KDf7UMnDQuvzi8IlGNXOMZHOAxDClq+XQiNMrDzVUQaBT0p/jAF8ai6e7x6YyVLuHx4MP9KzORFnL3opGHh1fkFgXLsCsX4EIdhSEHLtwuhUQZ2voYolkGPyraefrht+K16D4yihMwnKzO/JGJ+VO3hRScNC8/O7weWY08oxoc4DEcKWH6CEBplYOcLiHob9Kssi8mHoLVKSfGMZyZKzPyhfEYSV3YgKZ696KRh4dn5/cBy7AnF+BCH4UgBy08QQqMM7Hz98BQFvSvpNAPDbi8akDRftPLOnvK9+dFJw8KD81uC4tgfhvExDsORApZvEuJEaTqpIao46GOJ6wmIo3I9ykaUyPkla/WTnvH1o5OGhWfn9wPLsScM42MchiMFLD9BCI0yhM6PYji3b+cqpxwyNbfyJM4f+JLzRb6bk3BT6KRh4cn5JYFx7A7X+AyHYUnByjcK8aEyOhlF8TB7c7P5lMRmKDjzR+A9zQP/3aztCp00LDw5v2pn7nCNz3AYlhSsfKMQH4rTSflwiII+lyeTw+vET84s6XezKHQO0DAchgUrf6hiF/S8JOYB+Gq0WyR8Nwuuc4iG7jA8UPkDFdU6cL2fphqeNdx+Ol6+tv/f0dk3POiLhoVX55cExrE7XONTHYYrBS7/CcjZxemkdCi+n20ApknpYneihM1/iP3/QO/WygPqpGHh7fn9wHLsCdf4RIdhS8HJTxVCowzsfNHwFAxDSaYZThruIzxr/uND7P/H4B59l3XSsPD4/H5gOfaEb3y1w/ClwOQnC6FRhtD5sfF3MjYU04T0jq17UaLm3z/kYvMBchV10rDw+vyqX2PrT57wja90GIAUlPz9hdAoAztfMdTfr2M4pmmF7u1QVspF1FmUpPm3D+dxaDwg6aRh4fn5/cBy7Anf+CqHQUgByT+wEBplYOcLhvL7dQzJdN0DcuUAq+aQHEWJkY/7vJRxF/lA0EnDwvvz+4Hl2BO+8RUOg5ACkn9gITTKAM/XC4dhqc6lUwqsMbBnsiTM598Uw2mIeL6u7BaTen01e/A6aVh4f35BoBy7wjd+t8NApGDkn1gIjTKw8/VCHgxOyacX3EOn456a95EvsqTMH06qt5ot/DFRJw0LBeQXBMqxK1zjKx0GIwUi/8hCaJSBnS8XnoIBKuX0wrn5+3p3DE/ZorXaRJaQ+XP8Qbmy2wtEpZOGhUfnFwTKsStc47McZnkUvHyrEBplgOerhSQYIqJ6csFlyt/c24swIfM7bJctQVQ6aVh4c35DkBz7wjU+y2GWR8HLtwqhUYbY+VGF49x6esE9KFicQmG+lE8QGhbenN8QJMe+QMVnWx0FMN8ohEYZcudHGY5zu+kF99i91uQUSvOhfIbQsPDk/IoAOXYGKT7c4iiI+TYhNMoQPD/qcJw7TC+446bFKgudOCHzhxiiw6pSUOmkYeHF+R3BcewN1/gsh1kaBTPfIoRGGaLnR91MFO/SQ/OIkdWFc+kujuR7Uk0vOHd+zpxzp9BpQI58LcqPEYU+8luC4tgfSvE1keJW/vfqaZQhfH7UzMRpUZM65Q+7tXB3rnRovIn8+yu/JizirxQaP+plltwDZFDlW9H3f7IrIZaJkhLRu+ppKbgXeVsxO/ktc3L9v7HU2FJMLj4CscZrVrX/nycrMbkWB8OgB/8T1RZiyj4ew46DyM0l9mHKSPh6pEotsjV/YRumXvf1CBgUAifGtmEEa3To3ydqze3CJL0+ah05fOOgpVWYvOffnnu5hs8swpS9P0hMfoue2YOpowE4QkwJemYNJlL4exc8gWe2YL4msUHIHDyzA/OL3x9SstentR0JTdzRZh/mnp8KGzDR7c851vfT1gLM1mdLNBQuhMr6yx5jK+79fKSp7Zd648E5ia3aLG2/7Fz+cpI0vkX3YPelkKh7HhfF1upLvRStBB5AbfNlJ1g53E1u8aUcqOoq3I8WX9ZSlchZtbUXP1jVueWE8ONHHXdXBNaNjlvqjH+742kRublisE7meVZo/HvNShW1YHS9j8WE8GM8GVbWroAMK2vVrh9Exb/fE6O3E2s7LwW+UrpQDnZe4LuO/4zTG4qJlfcsXqIyOixtvNToy2wOYeZ0qCy87Ibvm/k9oK7UvksF33E8r6/9T2ypHOynJ5OC/sG6SzmIxyO4Qv2DbZcYS+S2g5uDZZcCfchouF1RZmrZJQbyn1dCzG6M7boU7YpblU7txsiuS4w9E7/ruK9suhTD+df2cABtQWTTZYsd+nvPt4MAOqNFl6pRoZ+Qg90tEosuCfbgYTO8iGJ7LpXMadSuQT6y55JCTyP57bv2XKJh/St7AF3QlsthSE9zzkW2J5r8rmnULcZclS2XqMFwvhXq1vZEo9/3lud38G4tuRQ41geexJZc/KBexjnnLcKkuMsw/cREZBnmginOLsxnYXycA+wmRsgpYXOu1HZcHOqPTJwshQ0Toj8DdZScHPO5r8XMs7ya3R+vLZA9660cRDozTN1x8bYAUfZ8dM7RuDQa6jJ/GYwo0PJrAuIYAK7x1267jVHQ8u1CaJSBnS8GasyH0JMy5cltnrfXbpjL2LX1/OS5fZiVoLrD8m0BoOyl0Z6MwPl7YLp0GYwo0PJLAuPYHbLxF2+7jVHQ8u1CaJSBne9Pa29L8pWSma9s+4yfO2E48TvF18z988cbWN1R+bYAUDYL3jgRlpSL7oYungcjCrT8juA49oZT/PN3wfoocPlmITTKwM6XAtWwfurrfOphPksttNsFQyzZep7dV0zA1Z2UbwsAZRv9vw2VZGo/yQYjCrT8igA5doZT/At3wfoocPlmITTKwM5XAi5ls+fyc6qmHm4fEvG8A16xvFvcyeSTq1MJSlzdSfm2wFf2FLzxrOTYEuMuc77V5uNgRIGW3xAkx75win/hLtgYBS3fLoRGGdj5SqBeM4lByHROH33+lnCisxV3wPWDGvjs7O4UxhcdxXZQqDso3xb4yj4Ql4SbZjsbzfEPDTaDEQVafkOQHPvCJv69O3F9FLh8sxAaZYidH1v6f3NxPq9zkomHKzukPNP8+1qXjC/x44E/31oKKNQdlG8LfGUXtAXhpbmZrWqN12UwokDLLwiUY1fYxL93J26MgpZvF0KjDOx8JeDyAf04HPG0w0D7oEKdum+emzC35EUHrAUU6g7KtwW2ss/Ecx9brVG09DgYUaDlFwTKsSts4t+7EzdGQcu3C6FRBna+Ly19On2lZO5SH/T05rRd0FHsq2NrFzMo1B2UbwtsZTfNcxPpWt41GYwo0PILAuXYFTbx792JG6Og5duF0CgDO9+Xlj79Quf1w7QzRpozybfy4odbw3hVii+JmBdRKtQdlG8LXGV969zEH06qdV7nwYgCLr8fWI49YRP/3p24MwpYfoIQGmVg53vTyvdwTuf7d0GEkwWkUd7EseRy+53CoXxGElcBhbqD8m2Bq+wjeScNty3xu58OGIwo8PL7geXYEzbx792JO6OA5ScIoVEGdr4YcPV2EI9WajHJoEi38446haKpdwGFuoPybYGr7Iq8j4Z9o22bxipAfxe8sR+MKJDyW4Li2B828e/diTujgOWbhDhRmk5qAucK9Ybr6z2h796dgujEcZTrviip6QIKdQfl2wJT2X3zaWfOrpNvN+1d7fvBiAIwvx9Yjj1hE//enbgzClh+ghAaZWDn6wHnim33/+04vbU46XzW1VLmvD8GJ+ELKNQdlG8LTGUb6/Bvu5rwwHjL1sfBiAIsvyQwjt3hFP/CXbA1Cla+UYgPxemkLHCuPuzi3DVr3u45XSwxhqgTrpvA5SeKBwlcXf8488fh8u88N7Hn5003G9+zKKTwq2pn7nCKL+AFLClY+UYhPhSnk/7obi2nXV6nD3qEIIGrKwk8ZbPmuTuhz53LTAwCXsCClT8Awfk+PxIaPh/EukUisLqiQFa2+9wkfNBktXGrVhO8gQHvBTxQ+cMzBYitLHhscP600+tkGfSVF34WWMoem5sjkcjaQ9/uHhD8fjCiQMovCYxjd2jEF61cKXD5T0DOLk4nZUuKQiz39rUXHu6RAACoLjP8LLCU9c3dwpNotu9ZtexcDUYUcPn9wHLsCdn4NLdjS8HJTxVCowzsfMWyRX1nTLJgQFfj3QkPd44JAqYuN/wssJRdEJ3jMXR7dQR8czYYUaDl9wPLsSdk45Pcji8FJj9ZCI0ysPMVyxKFWH5i63Mf3N2rOiEgddnhZ4GlbEBkQ9qs9NiMyWBEgZZf9Wts/ckTsvEpbgeQgpK/vxAaZWDnl5IW/6fIPigBqIN+EkvUaxc4M8MfEQaiLj/8LFCUxXEhvI3tYESBlt8PLMeekI1PcDuEFJD8AwuhUQZ2vmDJUQRVAIwen+hjt6xK5t9WMu4iEECdA/wsEJQFsu/CN/8zGFGg5fcDy7EnZOOr3Q4hBST/wEJolAGeL1gSEFERgM/X/qATFbcN/5YUTkOEIqvzgJ8FlrJ3m86yaNxp2Dj33NbhrrOFzadBBiMKsPyCQDl2hWx8pdtBpGDkn1gIjTKkzo/ivM1HwsBubMYdaPd03j7DyX3T2TCiulXgZwGgLOliZ+WmtlmzHX4wogDLLwiUY1fYxAd7IkYKRP6RhdAoQ+r8KM7bbDWB0Av96qKhjJ1hk80zx+4jerHbi0ejLh/8LHCUpaHa2Hazv4TO7zet/fwMRhRo+QWBcuwKm/iCnrg8Cl6+VQiNMsTOj+K8zS/KwEqxjZ7n7dNhu0bJo1GXD34WOMqyuKwo7Vz5wYgCLL8hSI59YRNf0BOXR8HLtwqhUQZ2vmJJUOylgd0E4iE6BpAsUMGdCNPCD0YUaPkNQXLsC1R8ttVRAPONQmiUAZ6vWCLYJbWB3flRkyE6CIAskMFd7lT4y2BEgZZfESDHziDFh1scBTHfJoRGGeD5iqUMQMTqwLqrO9+jjGwPDDFEx5aCh0ZdPvhZwCn7qN5D/PGhC38cjCjg8juC49gbNvEFPXFpFMx8ixAaZaDnS5Yd7G8xUh6YvR6lmQ2RbaFTCLE2YX7ZLByzRjkORhR4+S1BcewPpfiaSHEr/3v1NMpAzxctaxR5G0PjLXV9xa8Ji/grhcaP0nyorhwfx8MIx8dZw85pOUKaN6f2cTyMwj7OGvcv1nHKAPYv9nF2uH+xj7PE7T3eOs4hQBGF1nESGIl1nDqAkVvH8Thq6zhL4LXaxilwc28dJ8FR2capcHUd2sZJgT9bx4mAP9vGyZE/28ZZA3+2jVMEwJ9t48Q44tAyTgWc57ZxEiC1ZZwKWJPQMk4C5HBVf3jCrxYCa93xgTrjv9/xaxF5a8dgddxSaPx3FbkBeLe8pl8kPaysXQEZVtZKkbsscDvLOHWE3Hm8JQlFHuMr+9UWm0hg3fn3y8LUGX/p+LGInEYGq+OGQuO/rchjHjqr+MVS6Lnt4lTIeWoZJwmQ57aLUyFrEtrFSZAUdnEqZF2HdnFiJLldnCKAXrNdnBhJahcnR9aotopTL7FzqzhpAH3TJ6s4dYR90yerOAl2bhXn4iTvcVScmPc4Ks555uOYOIfTvMdRcb7OfBwTpzzJexwVJ858HBMnB8/Hl5Dh/WzDmDgJtJ4exsQpAvB8TJwllOUwJk6KnZ+HEXFKbN2EMXFiLBdj4nhsjWFEnCoCv+eTcniWV7P747UFYuQju3krB2969tndxvnshEW3/i9/WBaNMoDyawLiGABG8dFOwJCClm8XQqMM7HxVEqNvQjeUJ7ft3l7rEzR/LmPXzPMT1wPKWWVINOv/E9uLm4c0ykDKLwmMY3cYxcc7AUMKWr5dCI0yJM+PAjzv9CAb5ivbeuPn6uTMH078Tvs1q/XsF93NuT3h0Kz/D/0oTic7guPYG0bxJZyALgUu3yyERhmC50cBnnceVMN8ltpvtzYx84dYMvM843rAMfbFCfa4Raf++1KeTlYEyLEzjOKLOAFdCly+WQiNMrDz9UiMvoxsuMl94XllUua/Ynm/vev0HAlpvjij0Kn/vhSokw1BcuwLo/giTsCQgpZvF0KjDLHzo/zOm/eyoXO6nfO3hBOdrbgyKfOvH9S2Z2d3pzS/NHrmphKL7HsbfGuL1w0Kzfq/nB1Zl5+ghUYZYPkNQXLsC6P4Mk5AlwKXbxZCowyx86P8zvs6yIYr4RGZMR3j17qEzO+ceTb8Gd8S1+OOsK9OiifPjyD06v/RtVziCxplwOUXBMqxK2zj0zOeIQUt3y6ERhnY+VokHoOX+ebnCmKgl1wJdeq+LiHzb0KX/0WH7jV6Tg1OqqX5HQit+n+ch5dfV9IoAy6/IFCOXWEbn57xDClo+XYhNMrAzpciaTAGL/PJ/U9eVA93vi/sdI1P6xIyXxwjvxIzFXpe8gFCc80bCK36bzjm/EqhEnWyIFCOXWEbn57xDClo+XYhNMrAzlciJbjGUC0syzf/VA5nKd+WNBuvSsh8Mj/+JREr9HTOOWG1LBi06v+lp/l4+D9olAGY3w8sx56wjU/PeI4UsPwEITTKwM7XIfUazKuaYXnnUd3wIQwpOX3jclVi5g/lM5K44nocjoT76pgoaNV/45FGGYj5/cBy7Anb+PSM50gBy08QQqMM7HwdkoDrNlQNy/K/38cHinQ7b4Ck+aKVd1wPUpM8Eq36bzzSKAMrvyUojv1hG5+e8RwpYPkmIU6UppNi5ACum1A7LMv9t5FDJ46jXFclZD7Y91boGeT/vEKiVf9NxzdplAGZ3w8sx56wjU/PeI4UsPwEITTKEDo/Ku9xzfsKwvufX0cKpcx5fRLnD7Tk4HqQA4QsQJ6sU/9tpp7QKAMtvyQwjt0hG5+e8SwpWPlGIT4Up5NSBH2mr0MV4W++jCSu6xM1X1gOPqj0lIrhFewXAfJiOvXfdqRRBlx+1c7cIRufnvEsKVj5RiE+FKeTSmQHrutDBfGfx/EyTfCiw/ilTs/ceojwcAwv+/Ybfd+B0Kj/xuPABCPjWbDyB1AOAZiLUE14/9O3Kxr4arSbVs+RlO/PIDTq/xVc9R7MG2FYgpHxPFD5AyhVBD+tpvD+l9exwWOD86dj5Gt3P/15QRjd2KVfj1uMrzUf0igDL78kMI7doRFftHKlwOU/ATm7OJ3UIWv4aZWFv/k6ii72tSph8x9OP92HntNtB5tWW0Fo03/jcaFRBmh+EGVRiTdbU7Ace0I0Pj3j2VJw8lOF0CgDO1+B7PCn1Rbe37+MCoYNrhGeNf/hTJn3pOfoV4FzK3+8bd5bRz1u0aX/1iONMlDzY6jfBE284P+9NXunJ1iOPeEZn57xfCkw+clCaJSBnS9A8gB+WoXh/advo+cdW5+rEjX/TvfdEteje+6oLEShZ///euMSC40yUPOv+uJr1l57sdrcHDMZunds/ckTmvHpGQ+QgpK/vxAaZWDn648yArM5VBjN0Re8jgfIfJOTWKJeq5I031mW5oHr0am9DWHo0X/r8QsaZcDmh1CvOxYAwkuZREewHHvCMj494xFSQPIPLIRGGULnR81tjWbehwqjPfqCdwiQKwc4vTlHqxIjH/d5KeMO16M7ab4449Ci/+bjSxplwOZf9bEXEx2T8NqhREOwHHtCMj494xFSQPIPLIRGGeD58mOLrttQb3h//8dI4EW4Ct3hcl1i5s9n50154HqUk133wMctOvTffqRRBmz+Xd/67Z3OSfhZ3UQ/oBy7wjE+PeMhUjDyTyyERhnY+fIjRddNqDkaAw1+b/ExVXxwVklZl5T5w8l5A8q4HuUrC4Fo0P+EI40yYPPv+tQfyyom4a0xE+2AcuwKxfj0jMdIgcg/shAaZWDnq48Dup6+qicSHsco4EUb8VcXDWXsDJusS8j8Of6gXNnthetBVpdBolf/rz6e0SgDN/+uz/51yrUXfhVVohtQjl2hG5+e8cuj4OVbhdAoQ+z8KLiHMJ+HOkM5+oIRgJVicz7PKxMyvwM/pgFcD3B3Jiga9v+vy+H/oFEGbP5l3/1nUGsvvJBJNAPJsS9049MzfnkUvHyrEBpliJ0fBfcQPgp1R9dAg99/7CZ/UjEr86X8IKTXJuwvVx9plIGbn8CauHMx4ZVDiV4gOfYFKj7b6iiA+UYhNMoAzxcfMbquD5VH90CD333sLn02YGvzofwkpH++9JirjzTKgM1P4EDeLbDwk7qlVgA5dgYpPtziKIj5NiE0ygDPFx+7AP9WrdWIv/n67mPdlf00HlcnZP4QQ3S4HnERGTD69X+5/EqSRhmw+RGkAXmS3Rgz1wocx97QjU93nqVRMPMtQmiUgZ4vPnJ43YaKxPu/v7z3mL0epZkNkW2AGPl6PHN3JOYXppMhPAX0SfRFVIVWoDj2h1J8TaS4lf+9ehploOerjwJeY6g+CAMNfgeg8Sby76/8GKqAMQlWXw8GQPFXCo0fxfbQl0P9QRpo8MwCl3MmuVqG82vqtcCZKhT/4atB5/uPXJ1hsx7WM/15v1zr/sWYA3ik6gybROBMNQh9oMGGHMIjU2fYpPC6HCoWf/OLGQfxSNQZNnkgcKYqhDXQYBMO48HXGTYHfN2FOoQ50GDzDeRB1xk2pYfzUag9UKMvMN1QHmw1eshsNocqxt98MdxgHmSdYVMzbpCzcKlFEAMNNtpwHlw1fIhs5vNQjWAGGmywAT2oOscmxtevQwUCHn2BsYb0YOocmwRfY6hs/M1XUw3qQVTzh8RmfahJgAMNNtOwHn6dY5MGEtdQk0AHGmyigT3cOscmD/D8EmoXztctZp6hPbxqBBHYbENdgh5osHGmbydWNYPoaz4LFY/39y8zCFwuscXlHJu9w2wOFQz76xabP+By/Cul5tjslxOPLQTzocCPY/6Ay9F7ODCGqGv2gSPl22jw7AGXYxck5hBtzXwe2FHQ3RfMHXA5cgWQQURbsw0sKeNGg2cOuBz3xK1JRFrzWWgI/M2XmQMuR21wOcfmsPZ46IEnxdxo8LwBl2NeKDXH5rBxeYQMKe/uC2YNuByxgwPDiE7G5aETpagbDZ4z4HL+csQ0oqxhSr1vNPijjrsrAutGxy11xr/d8TTgn7jLkX5wc8Vg/TXm36H591Q183mgSr1vNDieDCtrF3pw6vv6n4HlpdBKV9Mu+J/mDJQR54VSBhJRzWeBEvVwNLj045qGOZN5RFXTLNx8Mbtn6cVPCOFNxvEskppNaBZ+fg3NLn34yX7cyTQiqVm4Ufqd0swZKCPE8sQwIqhZH0Kb8OHFuVkDZYRZE2QW0dOc7gM5Sr4b+HkDZYR6DtcooqhpEj69hjMHygi39aVJRE0zX4QW4f4P58wwFF7DrP0cmjISqeehQfjw1TlTDIePDK29OUROQ5Ai/6vOmGNIfEZ37Y0hWppdIE3x/ppkBhkWX4m59qYQKc1noTn4+4tzRpm+TcSZDCFaGnaUeevAhpm+TZlzJjOIlKY1+OU1NM70bULHmowgOpqPAj8K/OvxmWd6N8xpnkwuUzeHtuDDi3Mmmr4Ne5ojkwdSlSCF3TSwmaZnA5jMHzqaluDn19BU06+BTMYPGU1DcP+Hc8aaXg1oMn2oaNqBD785Z7Dpz8AWRcmsmJ1MXV4FkpRy08BGmx4NbpoRkwjVfWgGPr2Ghpv+DHIye0hoWoH7F+dMN70Z7GT0UNDwpICbBjbf9GXQ0xyYeitWiVK8P8mkCacng5/mv9RrscqU0u2rwIjTj5GYzB06n/mfP4muvwsMGtiQ04uRmYwd6plaXffwQQMbc/owUtOcl1Ku1ivgcRXMLeBVuWm+S+nFagNw/y10cwsOrKWI4FSaOaQz9c+HF+fmF6ScpYjkVJg5lDPVz80X5+YY5MJLkXxWTC5Xq59Pr+E8gzoiL0VEp3U4yyUPxGrtc/+Hc+OAZ3k1uz9eWyBnzFs5iLw6M5PpxO0Eog9R6D0/xi+ty0h4KZLTBqWqFyCOAYiUf/hi3BgFLd8uhEYZsudH2Uzl8+E358YB5cndE26vPTCXsWvm+SkIInpKiRuwtx4x9CIKxed/4M/EYE7CS5GcNJhsvYBx7E6k/OMX48YoaPl2ITTKkDw/DpLj7gF/eMvjgPnK7gvxc/sMJ37f+5rZKvDxZpC4AmQYehGF5vPv/2U2nJPwUiQnfAgEzcBx7E2k/AsX4/oocPlmITTKwM5XDolcrXs+fQtHAvNZHEjfOkMsmXmeGc5ER7QRehGF6vOv/ysUoJPwUiRXfngb3QBy7Eyk/BsX4/oocPlmITTKkDs/DpLj7rmDBn6/0c6Biedt84rl/e/OlMiPNw85p69FL6LQff7tfz6OdFIsRUQnX4XageTYl0j5Ny7GjVHQ8u1CaJQhdn4cJMfd88ZVMBronF74/C3hRGcrbpvrB7Xt2dndqYkvvg7EM8Rp013OGHoRhe7zY/y/T3nXUkS+2fqB5NiXSPlXLsb1UeDyzUJolIGdrxlqwVrzfB808Ijgyo6vzzT/vtYlzwv7eOBPtZYOMZj7obF9DJpG4UeRH+M/bM3bSxH5ZmsIlGNXIuVfuRg3RkHLtwuhUQZ2vmKo13K1jmEMGnhEMNBLroQ6dd8yN2Ey5ItwpTyw77bXamgahR9Ffo7XtJBLL0Vy31wI6QiUY1ci5V+5GDdGQcu3C6FRhtT5USyz3odKhjxo4FHBXeqmk4GT0yZBR/OvrJlX7LutWw1No/CjyA/yKtKq1D3V8s3WEijHrkTKv3IxboyClm8XQqMMqfOjVmazhFqGOK6CkcGZ5Ft5JcgNQ5ZEfknE7GjWA6STQNMo/Czy775uYz5LT7AcexIp/8rFuDMKWH6CEBplYOerhUqwVjOkQQOPDj6kIaWOUG66UziUz0jiyg3gxLOG8xGL1lH4KeT3A8uxJ5Hyr1yMO6OA5ScIoVEGdr5YKCO5Ws9QBg08FlCk23lnncKZnRh5QpclKAmnh+Yzsf6IQ/sodJ/fEhTH/kTKv3Ix7owClm8S4kRldDIOkuPu1YMGHi104jjKdTeUnNVPeqYVhV0weHNB0YMo9J/fDyzHnkTKv3Ix7owClp8ghEYZQudHnUw8hJpGNa6CUUIpc94VA5vrv7jvDvyYfynvt4sTiD5Eofn8ksA4didS/o2LcWsUrHyjEB8qo5NRJvNZmKua7kEDjyWu6+Pww8QD+92I6bcP4OvcJ87SKD6/amfuRMq/cTFujYKVbxTiQ3E6qRbyQKxWNp2DBr5CeJ3YWZEl/W6EK+U2c+5h0frHuQc3LsYtrPxqZZAcd9/xpYiNabJ//OoW8d+N8HyrOB27VXKnmQcXLsY9qPx6RSOzC9WN86GI/crwrOH2006vjjt6IIBWgNDNqqXFI4R+RKH3/JLAOHaHUny4MXKlwOU/ATm7MjoZJTLnob6RHhq4ou7trgc8nHLMz6A/+xi6uTSau4HQjyiUn98PLMeeUIqPNka2FJz8VCE0ysDOFwmJXK1w3s9V8IvDqa/7CH98SOU4lndUfER/02gQhH5Eofz8fmA59oRSfLAx8qXA5CcLoVGG0PlRItsHrnCga2Er6Se27rXn/iFm+Q+QK6QYRz+iUH5+1a+x9SdPKMXHGiNACkr+/kJolCF0fhwkx+zXA/Kq85VyEXXWnduH8zw0enA3QehHFMrP7weWY08oxYcaI0IKSP6BhdAoAztfINRSdbMP+gLkygFWzaFBipLvF5WMu8gT5ZUV6JsbUkLoRxTKz+8HlmNPKMVHGiNCCkj+gYXQKEPq/KiPbUjqEdVQ3BXbcmbawr8bhdMQsXxd2S0mdfJq9vhW+SXco/WhqQuEfkSh+/yCQDl2hVJ8oDFCpGDkn1gIjTKkzo/yGD1CvA9+at5Xv8iS63emP2O2QX/szNcD39RocYHQjyh0n18QKMeuUIqPM0aMFIj8IwuhUYbU+VEak4SzMjk3c+PuGJ6yRWu1ic7M8QdFePOqGk5U5irbH/1jq81ZCKEXUSg/vyBQjl2hFF/GGJdHwcu3CqFRBni+Oijl6rSJy5RpcnvRmg7bMUsNQwyovA0x9CEK5ec3BMmxL5Tiyxjj8ih4+VYhNMoQOz8KYztjT+HUiXtQj/pxKIC/bi8g+hCF8vMbguTYF6j4bKujAOYbhdAoQ+78qIvJw+kT99h9f/wUDgz2uko3g7qEIHoQhfLzKwLk2Bmk+HCLoyDm24TQKEPw/CiLf73rQziF4o6bFqssdJozxBAdVA0C65UvhodT6FBoH4X28zuC49gbSvFljHFpFMx8ixAaZaDni4OD3Ld3PY3i3Pk5c86dpLsfcb8gbT5mb+Xokd3XPArt57cExbE/lOJrIsWt/O/V0ygDPV8d5HLf/sakBsTSAn3FrwmL+CuBxZcHudxu463f5HKfatX6TS6323jrN6lYtX+TiO023p6GHsb+TSK223ibGmoYqxpKmHUV2tVQwtShZQ0dzLYO7d8kYruNt66hgtmFFnASqd3G29hQwVjASaQ+ZZOdDQVMGVrakMBYwEmk3u7J2oYAxt5G+48FnJ3M27TWoQWcXGp4BVY32n4sbzT92MAphIZXYAOnjKbaOn/d8dWOwFp3fKDO+O93/FpE3toxWB23FBr/3Ws9M8eTYWXtCsiwslYt+PepWcpUGzj1WqZawZl06/zZyTxvIoF152Se1+qMv3T8WEROI4PVcUOh8d9u8A0WRK1q+75YKjN8YCs4uUy1glPKVCs4ZSRSreDUa5FqBycO8BxCOzg7kf3G28HJRaodnDKSqHZw6qVEtYQTS1RLOCm+pqElnIPE51q1hFNFAtUWDv6dWrehLZxU4PvNs4VTSFRLODX8TL4KbeFsBQYiaQvHCwxE0l5H6z6uPLSGE+OPd7A1HI/fcbw1nCqC36A9nHg03GBduMquig/AlO/K4wOXp84lsXPrrsdD26fKlkodvavXXjiXOhc7xxQ7LuyobN+/kUjWjRX629iB/y5/LKgU6GsY0lf6vq3TTzpX6ePfktZ+yhJ8N7oewm1wntKdaqW+3GQ7JQ2wFAO2Wv/wthFO58H70GO65nmWV7P747UnOjPh/5ruxHIrwwz8HxS9M3O6Qmy9lYNnS9+ihp2bHx530kpmj3z9TNLyawLiGIBI+WArYEhBy7cLoVGG7PmxUa86/ml4vsSOt8cJ2K1w4PvJv9opT27Tu712w+3DrOS6wN8yYNPn+C0m05G5jF1Tz0+Plg5UbNiz+cMXF6LZG98/k7T8ksA4didSPtwKGFLQ8u1CaJSBnd/KJMP8Tq1lkTc2w9G/pFc685VtevFzJ3QfPN+VkTf9IZQG2kHXkOHE2/o1+7K0ox667dn8UghR8AXgTNLyO4Lj2JtI+QJWQJcCl28WQqMMwfNjk97Psu7/Tmme0iReB30q1VXOfJbaXrcLupinlJt/yXJ+cxvqxxBLpp5nP5YOH/S1Z/NvHyZ9eYJwJmn5FQFy7EykfAkroEuByzcLoVEGdn4TA15bXvZ7M5xl0MuSXMWou6AWz1vndbueP4ylc+z9Ki04VbITu+jP+vGK5V3uLlqqKuJfezY/uI3DrZknTxDOJC6/IUiOfYmUL2EFDClo+XYhNMrAzm9gDgO2wUrRfJXrOuh5ia5xOqfzPn9LONFx7M3CjusLXNl54uFGuErFIb7oBG+r3Z6d3Z3S/JIs1bzO847ND84Ry4ub1/T0A+JM0vIbguTYl0j5IlZAlwKXbxZCowzs/AZmCSXuzdup7t7W6g9HOVzhXNkR5Znm39fOmKXRc/o1u8S0IGhH58xv4c/4lnpLZ/e1Z/M75AzJ3Q+IM4nLLwiUY1ci5YtYAUMKWr5dCI0ysPOblxx8jUWp69szHZpjHwiGqSTXN4PTXRf6oDujky7+fAn/+qDfrR83apxg6lVv6dl57dv8MmaPIr7ISRE/IM4kLr8gUI5diZQvYgUMKWj5diE0ysDOb14k1qivY7dLXV44V8s9QGiOUsZt1Y8RBor19c1d6piSgZPTxuliDC6JC1zfnCONEIfReetOvKWKCJ3m3Zv/+JqFQ68vPyDOJC6/IFCOXYmUL2IFDClo+XYhNMrAzm9dcg02PY/fyjbtKIeiozx1tWYXN0oUDHK5vjmTfCsv+riDTuGV/RfJ1MCfcw30u7eGOy/9JRHzlmpOmu/MfMjqwNIPiDPJy+8HlmNPIuWLWAFHClh+ghAaZQidHxvpOIZKeXVDGttNnry9L+zszDSBhrjvdLGCTZo/lM9I4qq19OQUpldnw47Mh+zwIvgBcSZ5+f3AcuxJpHwRK+BIActPEEKjDKHzYxsdRxHFlYwi3c675ElsvZKeb6C3I33yvfTbZvumorPvSktLGhCjf93Xcy/m83id6axSPxDOJCq/JSiO/YmUL2IFHClg+SYhTpSmky3M0mDQieMo190grQd8vroLy4eIP5QYtk9Jnc9aiv+N3KLO19cuzOf8upR2dSLkCcCZJOb3A8uxJ5HyRayAIwUsP0EIjTKEzo9NdDQSlDLnnYHesvUuLNdy5iQ8aMpAS47S0gewg8bDvswHV2Kz0yPyxffPJC2/JDCO3YmUL2EFLClY+UYhPhSnk+3L1pBw3Sev6zfCIDp/ZSjrD2m0jyumtPT8gXy9dmU+in11++JXCr+qduZOpHwJK2BJwco3CvGhOJ1sXupgJFFNa6C/m5WsnnjeOq8TNVVp6ctxyOn5FnF3Dmy2bz4Cs/v/wSBhBSxY+bLnMJYIpzhubm/8aidHQuCvDN04Q+wYqrT0IT0aYEdldJs3n0N5PTNf//eCgBXwQOXrnnQkEV/dPHb+n/l/vr34B4J/Mt3yYS0k7hXoLC3Fmz6VVO2+zFc8D3znBcaZJOWXBMaxOzHyRStXClz+E5Czi9PJ5iUeSezCaeBiX/uCVsSHVBBO7hmAc7RtHmyvQGdpkNc6I3rPuzIf20raSLzAOJO4/H5gOfYkUj7aCthScPJThdAoAzu/ZVmPJA5XNwO6Gu+ueMqD5sH9LQb3jEeteHzwRqssvYLnhW1/5nfMm+hjp/LEXmCcSVx+P7AcexIpH2wFfCkw+clCaJSBnd+yjKQahW4aeMfW525g50pCd/b4ANnoxP1DKDYKS12FM8cXYXfmD3KISuoOH0DOJC2/6tfY+pMnkfKxVgCQgpK/vxAaZWDny5/0qgR6z/0klqjXDpmB2xPuAWca/yPSg1+JFe/NfLc2ynQ+gJxJWn4/sBx7EikfagUIKSD5BxZCowzsfPUT1Vczij7n6c052iFPjrCRX3CflzLuIi904uygmbpgd+YHdDZT5APGmcTl9wPLsSeR8pFWgJACkn9gITTKAM9XP2l4TSM9fLowl7PcFw/5oqbgDm99Xdlt0Vh4bpx71gD+TTGchohBZykV8ZJ8U+7P/JNkfSCaTl5gnElafkGgHLsSKR9oBRApGPknFkKjDOx89bOsr2yQhVoG2jud98VLnD9afkjnXLf6x4YT8m48dJaWVObAq4jn/Zl/d1QKXYqbFxhnkpZfECjHrkTKx1kBRgpE/pGF0CgDO79picfRUIKvcl7MTfuHMnaGTfYDP4P0+pwjC8/rh9ML3jhz7D5PGbu9MCSh8b2bh4fjm3KH5gfG+si60hH98gLjTNLyCwLl2JVI+TJWsDwKXr5VCI0ywPOblu0IIg+vc6wUm9953hvzCdkFTmHrdNh+V2KWapSed2n+A5PpBcSZpOU3BMmxL5HyZaxgeRS8fKsQGmVg57ctT2OoXuvYTSAeor1hw/tLtv3nwR5Aldqn+XeZW+QHwpnE5TcEybEvn8pnWx0FMN8ohEYZ4PltSzmC6hWO2At1p4/vD5u/JMIc/URYd+K5z3s1/xkLtbKMPAE4k7j8igA5duZL+XCLoyDm24TQKAM8v3Fxy3HDugyveay7ulNjysh2wl1aGLljx25CpxDq9WGIITq1pXN54nyzO/NB6+P7K/LF988kLr8jOI69iZQvYwVLo2DmW4TQKAM9v3lJR81Nfj/1usfs9SjNbIhsx53CriQb6YnvznyvdZyEp5s9mr9p623wGYWPn0lefktQHPsTKV8TKW7lf6+eRhno+Q1MNVqItrn19KCRJSOD+K2kLn+7buspdfTuP0BI0uZ3ylTZV4+v6uE9foywS92B8gjBPoQG7yVqrNA/KL+qPfsrbvdurdNvP0qw2R6K+Dx6Z1bq79InxQY4NltcFQ//Wv3Ww4TawvvH/1Am0XBvhKNYq2/hxTlX+CQe7IcJllnkDnVBOlQXjSgPE2xYNNm9PqXxeiBW6m9Tlyu2mbds0XAPLk+THt7KMnYJ4VGCxRUKf4xgrQ8/zTp225Tyzkw2XXpyDCV98zgyrYXX5Tu3o45NxsKM6GHbc3naUbZxZ9mlXaVoFNpoH21l6GH98J8f/jP5j/7Tf5P/6L/Jf/TYRx13VwTWjY5b6ox/u+NpEbm5YrBO5nlWaPx713uIJ8PK2hWQYWWtJv/5X64R9zuZ/Ef/Tf6j//TfD//Rf/pP/+k//Tf5z+Q/k//oP/33w3/0n/7Tf/pv8h/958s+2zj3+HzWAYHFrwmIYwBoxJfq8UN2YkhBy7cLoVEGdv7wk62CVnk4yyOx+CWBcewO6fiXbNHu8e2eIQUt3y6ERhnY+YPPZRN0lcVeHI3F7wiOY284xz+tgs5yd6FLgcs3C6FRBnb+2HO5DRTlKI3I4lcEyLEzlOOfFqoe317oUuDyzUJolIGdP/U8BCoWF2FUFr8hSI59YRz/vAiU5ZEhBS3fLoRGGdj5M88xaJD5701YNbdWFEZl8RuC5NgXxvE3zR77/dE9tu60n+lS4PLNQmiUgZ0/82waPDef+2z671kWmcUvCJRjVwjHPzbXHZ+6twXJGFLQ8u1CaJSBnT/xnJovuVIspx5lkVn8gkA5doVw/AfF1trnBhuGFLR8uxAaZWDnTzy+wandjNUbK1lkFr8gUI5dIRx/odrkY9PoMUMKWr5dCI0ysPMnnluV32ZNNxZFZ/H7geXYE8LxG/tsP6tYcKSA5ScIoVEGdv7AE7RWKSme8cxE0Vn8fmA59oRy/FO2D1VsOFLA8hOE0CgDO3/MYdjtRQMUFr8lKI79YR1f2eFHjhSwfJMQJ15zJmefo3I9ykYUncXvB5ZjT1jHV27/ceRIActPEEKjDOz8eSdTcyuPxOKXBMaxO+Tju1PzzihLCla+UYgPzzmTU9BGHonFr9qZO4Tii4x2wLOkYOUbhfjwnDP5B0LnVWuzbRas/PFkTovWflN4oPL/34BnDbefllj8ksA4dodGfNHKlQKX/wTk7DedySn41e5E0Vn8fmA59oR4/OdWZUvByU8VQqMM7Px556ThPsJ1Fr8fWI494R3/uTUoSL4UmPxkITTKwM6fgq+xdS+KzuJX/Rpbf/KEdvzH1oh1AVJQ8vcXQqMM7PyBZ9MYcYZyEXUWRWfx+4Hl2BPW8R+ad9SfEVJA8g8shEYZ2Pmji/OVAyjGeHcbiqKz+P3AcuwJjfgyn6R0cURIAck/sBAaZYDnDzznBhvFtpyZLDKLXxAox66wjd/9cTlWJ4gUjPwTC6FRBnb+xOMemo7buc+zxUUWmcUvCJRjVxjHP61aH00bIwUi/8hCaJSBnT+7OH/gxN0dw1O2aK02kUVm8QsC5dgVwvEvi6DJprOcl0fBy7cKoVEGeP7I47JA/TVICKOy+A1BcuwL4fjHgFSy5VHw8q1CaJSBnT/0uAcFi1MojMriNwTJsS9Q8dlWRwHMNwqhUQZ4/tTjHrvXmpxCaUQWvyJAjp1Big+3OApivk0IjTLA8+ced9y0WGWhE0dj8TuC49gbwvFPCxLHpVEw8y1CaJSBnj/5OHd+zpxzp9BpgMLitwTFsT+U4msixa3879XTKAM9f4KBWFqgr/g1YRF/JbD4+k//6T/9p//0n/7Tf5P/6D/9p//03+Q/+k//6T/9p/+uPbNcEFibjq/UGf9/D5PNBYPVcVee8a8DMaCsg2RAWZP//JHfxZbE+izO89fqjG9m9v8PcPyAxYrz/JE848/zfB7G29fkP/pv8h/9p/9++I/+03/6T//pv8l/Jv+Z/Ef/6T/9p//0n/7Tf/pP/+k//af/9J/+03/6T//pP/2n//Sf/tN/+k//6T/9p//0n/7Tf/pP/+k//af/9J/+03/6T//pP/2n//Sf/tN/+k///fCff/7zw3/03z//+eE/+m/ynx/+IwGa2sYfn6U2m7YVhMrwUMcaujiS12mCXp+m+Ayh/vGZQgjJtKkgVIaHOtbQxZG8UhP02vR/v2vEwtLXlhfehq28yt2WGVNTh2DNJNXr9CcJgo1NXWX2ds3hxcGnpvBulYccBjp9UwDrQCuZfxES1vKtN3s3lH03SrTIcr7MlIrbKrPKknyK2yWrx41bWR8Do+TBqUqYuNWLTPqWw2ZqWK7nAac1zOgzV1TaSA3hpwiCTXX4ZFzzHYZDi4N/TVZNBx6GP5XWeMXF0xcFmA6kM5RzRUYU2/EnrD7nqqbbUPbZKPEi832ZnZdcqYitMqn0Adsu7aatzI6BIGTkWsjZ1kqEz29yDoVcv/g3Y8l5Udnian2rGPcdBFav3PYPLA6+NAlhSOrjDsPvfyGX/igAdIDNUBZLSvQ2kR1vwlI5JqTUGXttlHCR+b7MzUuuVORWmV5CyJdfFIT60HMnaMWtEijetBwauV7xbsaSioeEbnEL75PL+w4CqNfpCR1XHDSaRMdIxfyIw8CkRwrwHGAzFFUPPWGNF1FuQvrtu22UcJG5vsyGKxW9VcaXkC47YMmzEMa12YgNvwn0Mnn7T07l35a7xavhRZIqxpUHVK734u/LDLkuJEVtIRHaVQN0OnYaBCscxzS9WRPcMBxVHHSauELOesZNBUccBhbv9UkBmgNwhnLI+deBJ6yFikzy2ixQz9je9s9jGuAic32ZyV+5UjFaZVS51O7GZd2QbxhBRb0pi+rV8Pd/iKyiaoWpFJeGZNrJSewTK1IcxFfK9Tdq5t2M6pMYT0SFWmhXF2R67h6DYK10fmlKnTAcVRx8aMqppt7ZqwJNBUcdhs+EcqmVj/ukAM2BcIZyPUjpddwJK3cdw3qmiMz22yjxIvN9mZWXXKkYrTKqZK4UPuuG/kjx/tMreBUVWxwmcYCkkWtW+mZi0MqFGAEh32J9m9FLnYuGb1e1vt/R1mZhq0EQ9RTyEFQVHVUcdJrQeNH+Q1tiDYy+zH9ncoCi4GoH6QrSHYAzFFiPN2GJjpH0fvt3t40yI7gu832ZlZdcqTitMrFIeSQ9VvzNFyQ1b2Tx5rLIIzZcWRKvJ1DLhQQWEs33aVTvZmTYAE/Gnvu+qKMSth4Em4jxkJKjioMHTRdgzC0Qd5RYA6Mv32VzAKLgagfpCtIdYDOU0wX5cOp4Exavt5H3z9b22yhzAusy35c5ecmVitUqA4ucq5ZjxfsPLzgu7KjTgoyOJMi1Xg2HN7m87EKqc+G70nk2YwriyGigNvIlVs3GgqBuNqw7zI4qDmpNresY2TW/lVhDE0oIXuerJIiCqx0kk+5ANkNVp0GOOmEthXhg3dICtONGmRNYl/m+zMhLplRMIU0qcPY6Wry//0aGtUO0FglcIfhAnE6glwuedCmAroJnMyoiFRkrZTUXajYZBMAPLSJljI4qDmpNhXT+nXVWiTVw5tkcgCi42kEyyQ7AGcrY7zrSGI46YZmFOgghIey5UeYE1mWUL1PU4ErFFNLkYvSqs+PF+19eqRAXZYpUztOIKdibXPGuHoVU54J5NiNlaws/xsMfHS5athUEvNk0CJEdVRx0mlzH9FBoPiyxBs48mwMQBUccpJLsQDBD1RtW2yJwjAmLXBB+lkb5+plx4X4B+L5Mz0uuVEwhjS4BYOnNRjBDvwWtDJhi3WoImzpuFX/zFYHQYVnqPEkjDZk4IKOXiw7qhUIq+57NWIQqwNcK1jWNlo0HwWxEOgQpLV1HFQedJtc00N5CayA157uQr5IwCq52kEqyA+EMZUdoL+LrEBMWF9bB/c/SKB8sxvUrrMt8X6bnJVcqrpAml1Qad5gqZ0HbXExzbe6ueVsvTOZjHtGOVxIkxtqsoILpNjKecBeybRYqzykarrgm512A2rAm3v+dfxuj/uqngg3aJF5e7EGuotLxZd+nGdzJcKjPUfM9MC2bCoJ6oq14wvuo4qDTpKTEGjjzTA5wFFztIJVUB1rYVQ/e3ugQExaG7G3OD9Mo71v5DFsQ8X2ZnpdcqbhCGlymT/6Afyng+z+PmXB7uUUec+cTaS9RA/ejdCwO/N3jWMlGxY2pdHc51AaY//kElZ++kVEsJn2N6NVinfYgV1PpSNn3bwY6YuqYULFt76Jl+0FoxEkHo9stPKo46DS5gBfslVgDpyt5HAApuNpBKqkOtLCrCxU11tn3VpgTtaNNWEpz2n03yuwAlGf6MiugXKm4QhpcapL64HtZF1IG5jvwG6AXTLFeRjS12Sj+hnkbmTrdN7zpJGYLh16urtIxZd+nGeyIqaq9eZkxvKkgqAxIGuYWBo49RxUHvaYAeYZ6ucQaGhB3uJHFAZKCIw4SSXUgnKFdNpu3XDXI3/9wiAmLhTC0Vey9UWbjV9SCiO/L9LxkS8UV0tzS8unI7aOnWUicL+Em11lVFxdH0KrkrsHCVyGRJqKuEbVhdbz/8JXDBV/phw9Hw59IFaYqaeXClQ4vNJ6szyBHjUA97pXsIAgh5W6ZnnHt+6jioNeE9XuyN+8VWIOax5ffoslVSSQFxy7IRFIdaJChISHIo8ZHm7CwS09b52bj1Y/TKJ89tq1fYV3m+zI9L9lSMYQ0tAjDCMnC1iejKXqkdapmU9NE03VBuu8+WYD58NySA1a0vTlT6CXocyE4T4mhsmEDeH//wlwOjgqIB1JeRM/735RyFZUOLvt661kg7yXQqJv6IVXn14gSOCXAQ1oeVRw8aGoR+T3dz8qrgTfP4ABLwREH2RTYHGiQoTVmZHG8CQt+5IIQsj7af6PMsKBd5vsyPS/5UnGFNKekPbM1zKNU9WzeSkZposDk5pvLws6zbyKPoAoz4UEwphSjliYO9aANW4Az+oJRO57X8JVwoaOzAkq5mkoHln299SyTahiugOjhaMzAEkZp9JLMGT6qOPjQdKHrlQCOflxeDbx5ugMwBUccZFNgcqBDhl7cYwR6pWZBVVRHmLC4ZA6XYtpzo8wFtst8X6bnJV8qrpCGFO3Uv1FeOaFmBpYuQOlenV4etAoIrTiiVKwD8DY4kdLm+VoobhI+5MKFADp5qreexTB4o3Jv4Engr7yWn3z9qOLgRVPLPdK4cM3J8+JqYM6THaApOOLAh2eX0CBDR/eyI7EP3B9fwgJBW/LeGyXMgHyZnJcKHBNnmklHefBCGmla3AVsl02Ry6l8ucgUsjmXdUDexm9wGuodIUaThFauyh5Im9p6nkVP5g04CeKV12lRG3OtRr4cUxw8aQrCcG7uDmOWW4MjSZDBgZ+CDHzqiQYZWgf0/vjZ8SUsNiObr4qdN0qk+XeI82Vlz1VSMfmvWSZvI80trmt3wD2n73NmSyB1pZEZgXX5Nkv36AvwC/5UGJXLIwmVXF2dwyud2gztHEoVS545G8EV8eXfoBKWhDp1kt7GWX5IcfCmqQBPv5Vbg+K+42+XJ4cDKAXHyKXAhgYZSo3rEYvGo01Y4iblq2pvjTI/yC7zfZmel8b85CRzt5SWI+jidklKzWXftGqmjdBDnYSEwx3plJ8w1TMiExVdnl+ETl8ropOrrXMJUOmU1iuZSAtAC51q7AdXQuZOO5B0BTuiOPjTVAtk9JlZSquB2qD3/jNZHCApOEYuBTY0yFDWoZK7qqNLWEyAA+3pR2mUz61bLQB1GeDLxLyESMUV0pySiZ1wEzNQJmxkiIHR6C6ONW2AGip7uUSG1Ml+HaC3K7rgDwlJ3yIrvsxd/9hvoVOsEwxQeWGDQVCNVdZvkuV44uBT05gxXPrM+b2wGgh075kvkwMMBRa+90QDuwr4rQWyo0tYPJBqVPwojdL+zWuYLiN8mZyXBn7/8f2nkI/rgGyM0jEVpPTbwCTqvaN6Ayj2kJ4KZ76jlPhrGViuj1dkWKVTmAHaK/qED2Dtgw0HIcfcSVp1c0Bx8Kppqsl0Bxuj2h3iLqsG5jybAyAFRxwkkupAPEMnyTY26SYHl7CQtGSSya4bZTY+Y7qM8GVKXoKk4gppZLGcDiD4wZYq4cVUPyjCQy4g9HCeL+QljeHFlGG5yjqnqnRKM3r8WTganlbPpoOQ0MnBUJvLDygOCk2qbWTMKaoG7jyfAxgFR/gtkVQH0hnqABp8yAmrfk/aBy2a9two84HsMs+XKXkJkoorpFFFXt2RJzNgc5PX0hTst9cbpNoZ3EGOMRcLC61rlSRQsfW4XFWdwyqd2np+/WXV0+fRFQ61bDsI1DR0lzigOOCaVCwJI62kGrjznA5gFBxxkEiqA3m7okDuSg45YRFNoEX9nhtlvhuQXeb5MiEvUVJxhTSzWP0p98MLD59eVUZJ1kHZQUz3CfsT9BXERPgjmvCHKFfBKFaXMRH6l7j1+iowsbXCHT1UslIQMDigOKg0aR/7nDTLcmpgz/M6AFFwzEEiqQ6kM9Qd9MXe/MUhJyzw2OBC2HOjzHcnzC4DIeQlSCq2kEYVOe+kvhPIUpGc1oLHGEGJbrrl9Llbfn5lr1DMvOT5XMPor7c4JaKyMVmjt1WTpoAoERypZeNBcM6qgyYdUBxQTToy9pM2KKUGTh8e/O3wLAqi4IiD3Bx7muXtKof6uQXRcsgJq8KOOmgS23OjzLeQXeb5MiEvQVJxhTSpYI82hlyZ6KNXU78BjjESX1gKpP9ib9A/Oh9/XLfjBXwy76WXNuLFwsxslOQim1TYGoUQ2Hq5WsqlJNDxQmHQTcu2g+C2OKwlV8cVB58tr/hkZzAXXUOjUY8dnkVRFBxxkEqqA2G76rhbiA2rHHHCokFIsYlce26U+UB2menL6rxEScUV0thigc0jNfAmb6psdPPbxFIz6UouX3XQkbPTH2XFTfBNrub//Q+1tIF9WO1U7MCNieodNQCh8S93zBpRCP8uSnxZn4tRqYQgXrRV4m2PbT0IdXBNB1rhscVhTDy9+GP2Qmrgz/M6QFFwzEGqgmQHYnal6noB5N/LMSesJQE6yQuNy54bZbZBdRnhy+q8BEnFFtKsgowcFWxKTheh/1K72aUW+zUtzULSU48lHBNyK74wibk+GbmXHyQbVtqYA6Mh23fFhY6GZop8IctduwHpreejUqO1ZlRPw5p6s2nrQZicUoncxfaQ4uA7RoVwzWwhNbDn/VRwxEGygmQHcnalkqKQH56lPeiEVdOjaWCSy7TrRokVGeDL6rxEScVtlXkFGJtnJ+wkjSMzZSRV9L0jCLlmYVNZ7whK5F5/qFyxifOhaS5tlozcY8AXo/MQdp7AbFgNwBeypHzBAR+Ytpe2EUct1zt66718Ula1qie2/SBILT3Y4lpTuNcgHFUcPMaI+qSIHIqsQT3vpwIsB+IZapYLt+toL45vDjphLZdPqfxRHdWuGyVeZL4vc/LSsH+DYvzwPj/UGJKCfXgkVk9OPkTBjOYzYf2BtHKUJhwpc1UoJ91RyQu5uG8WJPMEYMNq4L4CvZwfWkvx615h9HK9480M1WdTeFEMje0jCGKzyWprrco+AzMx5ajioI0RPqx70GFQzXuqAMyBeIba4ki+FORzKmTu93zQCWtMnCBUNRuFXTdKxMh8X6bnJUcqbqsMLEA/pUa64rT/sjh1S9wMfQsHacXRuPSAwB6ysag9gdiwEh9+wwWL78V9wvQwerne8WKG3EqkKVQ93iXdTxCg1s2/jioOuhgpXkcdBsUziT1VgOZALkP5XyDx0SYs9mvvUTiqATEy35fpecmQit0q44rmj1iTCNTIBwUu3hx6TFlsqaG81zvZnpWH2FJFvkBs8A3/A65SwzL9kHj4/MVzeIBqT0Fg5xoIvqEnPX7sOFyFv449DK2XOvZUAZ4DKQBf2fzhJizWL/uOwlENkJH5vszIS8P9vbyHBJyKOApX5i81/yO5QH80DzlJ7YBQq+msQWa+e0/Oo9okzRG8NIwthSs5+7ak5TQiDqrd2YSIDWvw6Rv2YRY/IQklmVC1baSV67/k6M3Q/8QjJrQntp8g8FuTsxTukdNRxcGTaxK+l3zwYfhv06z6GQJEB5IZ2umxyA9J5MATVv8dBPYHirLvRokZme/LjLw0vkfC42OfEZ8e/GH4VNYukNDMrPdiUdtIax4sbV3l2E/PzaMNa3D/IuHuyY82KqL6GQOJEQ3YeN1+gxD6mjRj648hDmUcy9grYOGAd1iifhFaJMlXZs34kzVKtJfLYlKxWzW/KjdfBZYZCblE7wi2KSAOXDEIleGhjjV0cSSv2QS9Dr1qMrDzQ7CBwbZ0Q0GoDA91rKGLI3m9Juj16JUdxL3tWnKTwQ0FoTI81LGGLo7k1Zqg15ghvAyp/6ERF0GoNxWEyvBQxxq6OJLXaoJel17j5QhqxBhCqLYVhMrwUMcaujiSV2qCjrevyX/0n/7Tf/pP/+k//af/9J/+03/6T//pP/2n//Sf/tN/+k//6T/9p//0n/7Tf/pP/+k//af/9J/+03/6T//pP/2n//Sf/tN/+k//6T/9p//0n/7Tf/pP/+k//af/9J/+03/6T//pP/2n//Sf/tN/+k//6T/9p//0n/7Tf/pP/+k//af/9J/+03/6T//pP/2n//Sf/tN/+k//6T/9p//0n/7Tf/pP/+k//af/9J/+03/6T//pP/2n//Sf/tN/+k//6T/9p//0n/7Tf/pP/+k//af/9J/+03/6T//pP/2n//Sf/tN/+k//6T/9p//0n/7Tf/pP/+k//af/9J/+03/6T//pP/2n//Sf/tN/+k//6T/9p//0n/7Tf/pP/+k//af/9J/+03/6T//pP/2n//Sf/vtjNQMA)

Fewer of the non-zero entries in the array align with those in the filter, so the
                resultant – 28,700 – is much lower than in the first image.

That illustrates filtering in a CNN. The image below depicts the architecture of a
                sample convolutional neural network.
Figure : CNN architecture

![](data:image/png;base64,UklGRmrdAABXRUJQVlA4IF7dAADQjQadASq5C/sEPwF+uFcrLqwjofNY0dAgCWdu/BgP0UE2N/AJrP2L4j9oS8hgE/pj39mw/69eYez/p1cx+dF9j57v9PYl85/4vMw90/pvOx/xvV9/UP+F+9nwJ/3n0Qf8n9yf/r8VP7h/3fUP+5/rO/9z91Pef/jfUJ/yHU+f5P1MvOS/+n7yfEF/ePSH9AD//+310l/iH9N/xX98/zv66/v/9efk/7b/0f8B+QXrX+MfUv7f+9/kb+//3cXi7WP5V+kfPX+F9Y/2o8V/zT+U9Aj8j/lP+m/tX7//435H/pv227q/a/+X+2PsC+2327/+erV9R+zPqd/j+oD/lf+n66/8vwb/5H/m9gr+Uedp9zemz9N/4n//9yD+j/v//ke16HHWSaToHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgcspfxkf2gbKYKbU2ptTam1NqbU2ptTam1NqbU2ptTam1NqbU2ptTam1NqbU2ptTam1NqbU2ptTam1NqbU2ptTam1NqbU2ptTam1NqbU2ptTam1NqbU2ptTam1Nqa88CVrxn2XQTV0qwA+YNNybk3JuTcm5Nybk3JuTcm5Nybk3JuTcm5Nybk3JuTcm5Nybk3JuTcm5Nybk3JuTcm5Nybk3JuTcm5Nybk3JuTcm5Nybk3JuTcm5Nybk3JuTcGAF9Gvg+pR+vf1vPXk9XbzvTcm5Nybk3JuTcm5Nybk3JuTcm5Nybk3JuTcm5Nybk3JuTcm5Nybk3JuTcm5Nybk3JuTcm5Nybk3JuTcm5Nybk3JuTcm5Nybk3JuTcm5Nybk3I9+SnL2yrIcrzpm7b0DSEZknVNqbU2ptTam1NqbU2ptTam1NqbU2ptTam1NqbU2ptTam1NqbU2ptTam1NqbU2ptTam1NqbU2ptTam1NqbU2ptTam1NqbU2ptTam1NqbU2ptSzx8/LyVurUK2h/eKdMIMt57/J+T8n5MMX2+44G3wlGTBl9KBSK4sSsBwykbwgrL3tliTzHUtn+u3puTcm5Nybk3JuTcm5Nybk3JuTcm5Nybk3JuTcm5Nybk3JuTcm5Nybk3JuTcm5Nybk3JuTcm5Nybk3JuTcm5Nybk3JuTcm5NT192BPx+Al3xq86S/lTLa5v+T8n5PgHXxrc3zThqPzoTziCQiEUKWF4kWqZh3yj1rj6eZcIkWVhNlToHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHLGGsSeFIKeKH2u4Cwtvrdz4eBlM/G5na5eDph8U4n/8nx6etGSRiAsCBkBs9kcDqq2xqlKgOY4dNybk3JuTcm5Nybk3JuTcm5Nybk3JuTcm5Nybk3JuTcm5Nybk3JuTcm5Nybk3JuTcm5Nybk3JuTcm5Nybk3JuTcm5HyrwkYesyr2xef+cCF+hwCeJhG40nQMfmbNzof/HjFpHYOD1Q3/A3nLXPui/H/fbmADWI3M8MuJcS4lxLiXEuJcS4lxLiXEuJcS4lxLiXEuJcS4lxLiXEuJcS4lxLiXEuJcS4lxLiXEuJcS4lxLiXEuJcS4lxLHS8EM+5hdXIm8mT6rK87kDoGV7gqRLGxbOyjPNCZNR6qOVamv2TWbb+tCf1aGqZYm0QVuH46bk3JuTcm5Nybk3JuTcm5Nybk3JuTcm5Nybk3JuTcm5Nybk3JuTcm5Nybk3JuTcm5Nybk3JuTcm5Nybk3JuTcm5NwDrTX+JNJq11QnVp/v89vC2QOfu5wAYjUE3gGs7NfesppgWJuTVoAAy3b/5zm8svFPBcc1BzHDpuTcm5Nybk3JuTcm5Nybk3JuTcm5Nybk3JuTcm5Nybk3JuTcm5Nybk3JuTcm5Nybk3JuTcm5Nybk3JuTcm5NyanO8BLtjoQ0R0Jy/1S6cS0lxLiNbDpLPCU+Vz+boBT8N8JDh03ADukp+tImtdihgbd+iUtG2gk1FYCwFgLAWAsBYCwFgLAWAsBYCwFgLAWAsBYCwFgLAWAsBYCwFgLAWAsBYCwFgLAWAsBYCwFgLAWAsBYCwFgLAWAq6F2xYuWq4Zotwka3c/J+T8mQSYGrzGg07eLc+qy1aRG4NAsafomXQGrIPiCAURNNhxPddwFNjvhcGB4D/mIorHaGyYYrBKJXbYqYm4iSleWViNzPDLiXEuJcS4lxLiXEuJcS4lxLiXEuJcS4lxLiXEuJcS4EHI08P39RKm1NedV7BPjY1ypd1k3JqfC807kakfaN0ldZE24+Tl3M7n5Pyfk/J+T8n5Pyfk/ES/QGMvXwpykynk/Je+xcXKBwu7gcj5fCQVCPycSVaYwf1zg4pm0c03aLi0SO0n9aUTp6NcU+2NoZoWlDBy6FjRVjgm9Shbc8mEHL+Ovu4eVr2fA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA5+9JgBlrj2YX4RnQ7jmNnQmumn4Qb8Qq4lxLKLefcqU0U7qnAuL7CcXMECMzVz0PcX6JWZBspsrJgsRNJ2JcS4lxLiXEuJcS4lxLJ57/PLhkx+ZspLsp3dLmn1/2YkbDpLhqKyG1/CJE0EpqLgWsxhQ842KfYW9u9Pu95L2PZTXpHc112I9jBpuTcm5Nybk3JuTcm5Nybk3JuTcm5Nybk3JuTcm5Nybk2//S5lQZLoxMdVVcTm9hgI3AzJg6rhXi7JRMkchZO0t1kVWjnBlXEuJY+aDlIdqcwEkkJPp9Fr/RIyewWpE7/GEewEul3Lrhk6B0DoHQOgdA6B0DlzUHMuLliJTiISvnVGF7O4BDKR4DTiV581OoHZvp+XQuJZPPjalr+plpalU6hxiEnPCtn6D/T+76dDzB9yKrQvtpLD1cXM8MuJcS4lxLiXEuJcS4lxLiXEuJcS4lxLiXEuJcS4lwDGbJCXl9asDcdueYxd6QSXtIXP5QIGEUcXTvLrn+E9KMVymrSuI3M7S9BWtusiHWkMsWSmyL6IvnpICCEQQAYuUn8Nrc1X0n0obWnCCB0DoHQOgdA6B0DoHP3c4ipz8oTjlAEG3o1CK91rnesNHJbwrEAwJMFtd/k/JkEmgev/oUMyd/w4jcgUR7AymS4mjAwk+Y05Qq6H9CvV+6BoyOG4zuvSk+tLO0J0cMCGytu3PrHtVfRqqQYIgFFXuLTgIum5Nybk1ONhbfqrb5X65ljsKRtkckAhuTcm5Nybk3JuTcm5Nybk3JuTcjqqTqI5XZGdrsz2ybPIkPbDmBMcI879BJnV/4KVIcWBs8XQOfvYGzP2aprK6S94A+ETP7UvcJtEaSCVbOqzlaT/twP90RldA0Iszn5o2AQFgLAWAsBYCwFgK/EI5J0/yc00KdpXzy69ZkH43EbqFrcFrl7nNL9E1KDgZQPVDpuSFI4sqDmiu1xy+VEIpJ7m1s7O99xBGimhrRFa7E4SKppDNwppcrSB6jPHLoSbClb4IBaJ6nhz90QcUvYlxUX73vnWk3b+zF1UyyCQ53amIElnhCXJa8FIydh9IS6yTSY/z7OTw3wffxS1drZvXhqAfc1soQi+vE20D1KjnO1QsF0gP97xUysbbWVqZa/+wXL6ydA6B0DoHQOgdA6B0DoHP1A/5psQXa5cmm27lTE1DT6LFVlrDjb2GhmuI4wI78DGI1J1lJ2GuXFMJ0Om5H1xdAC6Fo1oXkQ9VnVbL5YaPYSmNuVN6d1+769QuJcS4lxLiXEuJcSyefIzs8yh6vz0o9OgPjKSgv5LK8dmuGPQZzOMPc3/EyUHTcEMy7ySKbxgnOXT33GZq4YNRVd5WXYopUug3WvzI8Jw3PEoLFWxoAu8annxX3ka485T2fFBwSKE3StGbZCgbRIsCqS0g1AcfXoX93xmSofrHD6pEYpyZW2Kti4sBgvB3/hmhGAlPSRVqS4Dyn1SOtC4rLDLiXEuJcS4lxLiXEuJcSywPF1PVMjt2KH8gkqlGErp06fepgL37bRwm83xtNKvLNsMuI2GWKFGwl5K1xBoIcCw6h+pd0zfJp1YyF/vo7RnE0X7M4wywDOuJcS4lxLiXEuJcS4lxGth8HaCs5jzH/cdGwU86rlEiN+fBLiVlTcTN0tbUD5VySJcRrYenNJtTXpA5l1zwycwIQnzsdDHqC4E7czDgOw3ITiqqqTQBZvhavfbof/dXRu04scX7PqoHxVnDSVKEOxaqXrkR1FS1gFysl/jiqH//9iWudqg6H6YoUX/61doRzG03JuTcm5Nybk3JuTcm5Nv4BhAGGQtShEbIV5eWUadxalMVZ2YFebuvBjfkY/dg8MID7MQeL0UBK5dfR3gf8MuAU1+1IIWb++RGV7WpUxmZwdIplUY6+Pp9gdA6B0DoHQOgdA6B0DlzUHP6XfgIXiSCD8Ir3KvSpFrH6xD+rgTb/HBOelDrmkP6VrqASYLa7/J+TIJNA9ibk1aE2pxxbOrcRXJxXg0ZAZEhnpq+2qSZQiv8xd/0hOdn2YgeWx7kahGfW+0R/DN7uAWDnoMS2o4z4svC2QqoVlA+lgViMexrXcsWo0/DYxj4eRhPqyEk7peP59LQ/UgEsxNS0g9Y861v4vMz/iwv2sRuZ4ZcS4lxLiXEuJcS4ligB/Xj7g2KG9JKXGyE1EZPFbBltBqscirO5ubr+sRx7pTalxIjsfLbXkYUS4lxLiXEuJcS4lxLiWTz5GbX852ugsg/zH/XUofxl0iYgwOAij/0xBFdlDSQJeTa0+o+y/+lErqyJX1cRxYMNbDuzsMDh01aE2IYHDpq0JtTmUmDNFENr0CXApzVQUpsr8IbqD6D7CmLTHKcq14B/+dIZDAzNAZns4Ydlkj0wkiosnfAEhvmCdWxKjw54nee6X86aQGjKSyoJFODfeNBFRM6LP4FfwYhhWTVrALmeGXEuJcS4lxLiXEuJY58KheO0/u3K8mEOCFdlRJeYSzS9yhVa17zGtrYVbFhT/oY9splPjD9LPxZNyPtrqSyc508SQhcfM5nhlxLiXEuJcS4lxLiXEsnnyMA8gmkX+SP0pEuVeSEXYwWilbyW5QJyogRKC7W4V41BKdA2IcnPkiSthEcSZEAHsWFq28k3fIelKl8A74vHqalfg2c1dX2Rs8TyAoMtCbEMDh01aE2pzKTA1WGAmv4kdo9TRa/4mG/oXowLB25rJHqXDBDdtZ7n7pq1gFysjjh3xcJ1Q8MnQOgdA5YB8O99LcE3g0LTx/4pBG4lwAnO+NYghBmRWXW0uirpO8ImX6vQoocWVH59zVktSvWb2dGqLSQMBhXUiXEuJcS4lxLiXEuJcS4lxLgcj8OO+cbrCl7JXcuQY81/eXC4x8cwyDWlC3nXAA5JD3z07wmvOB93FeFMl3vE504pGBFPb+0kWNgcM3TzohRpy5b1rGDTUOt7VpUHYwlN+foZoB+R1nefG1Lnhlk8+RTdzfChNAdotkHIbEXmrg+jaKmZjDwfhBJHNFSsrbwbJoyTBCnOaPTOqDoXQVCgeZ24OYQuV7zrW9sfvPO5Z1qbiKc1mjDKdPctguluwAyDgOSJLjbe5y+QDpveGun24SE3jpuR8q7tn1aJ0WGb2dQLEkREqyRqMSWbMtM7kzn5Lxd5R/Sk2xG4t6tu/y2SngquVuDGfYl6q57HLQW3qEkQfvn29wN8dahS7PVxuaGef6QS9wLuTndtS/LWekpqrvz340na6mc5HtTe83JuTcm5Nybk3JuTcm5NwQzMdTkdoGaeunZrBspK4lGOrHxo8JWgAIy7HdQE3YwixR+UDWurIAKNYYP9wifCuqiEpMA11/aYZPPjVLHYE/g6atCbU5lIpMgtTtpl+bfn701RaD7RG50Sdt39rP/bzghnA/knUIzPCNOZSqkQ5YhlBzHB6ocIwOHCNP79g/hDf/4BDq4xUI6d7YOEcgBt+HsGKE8/OT/lc2rTa0M46nRp+BSBkP10Zce4kuh+tfDM1XC3nwjdopSl9cjN9YYgkfPcUOczOXHFEi/gmZlL0aA5+xgBD65hRu3+3uP4Wyirgm5l4jWdFqvmogd0k0nLV/wxpSWXr14RuZ4ZcS4lxLiXEuJcS4lxLiWTz43r/yi3XBiC++rmlpKAqODMJwg+r7SnoQhP7azEg/S9ioj6zo8q2F5qN/e2hs18kbiCCdsstfpJlCbENRWAq/gaw+5YNf1r3guxYiq0aX/1ALull/IMO7+Xv5EEuh9jrM/4SaV/k3vGypiH3sh8kX5N/dwjVtOjYGlsyHbxZj5LNcDpcyeWfiZV7bDuLrSP0f2ANWAkysirrEYQ8jEB2MmgbYrxc48BXo+LZBhN/6Ab6mwl8p5jEHZPImVpEytANdzEE5CVFEN9d3En01X0sw+GNG7ns/uPk5POrZWNmyjjUOFosVNmULW4c3dYh3EQ78ABbGqVOEOy6IIQBb1KM5ELJOplnu5nyF3WqxFBEiZFESxNtFCS4llE20UJLiXEuJcS4lxLiXEuJcS4lxGth6JCH7/EZsfnuhl229M3ABRQRFaj+nah33HdvuB/1Uh640B/Cl6efvMZIGsG1NBRwpNQZ8xtNyQpHI79ItzaWv6siccKZ+YIBJ+cq2RTUT7gzLLP/0qrjD7w96d8cQ6xSXcFt8FRNuX5m6EC8jDZffEa8syGk2mVf1yzZq62W+Vb2IhFVsa/llXgPa9Dwl/uAxhZIX9qGemMoh5o9qAbPzNcZAlYf/FrgpRsnLoJ95Z8Ey5SWBPhtIYEfaSvXVhOaaG7QaIrsjPNUtcF8/kJSwsY4tW3vLXzxkPkhldFYPAE8nwQoSNNIrCYbILR7+WOQuJcS4lxLiXEuJcS4lxGEl10ogd4DXwLCSv92R4/ftAuQgPrNVri4rE//ZkAdDR2zTvTm/wNzOXEHJqX8qZPKxG5mTYenO/8MsnnyKbuatC+igfcUc5A732WSG8kMuJDL8+3jZyPjuvtFACTOB/sHHu+2JgonosSfWlxslPabBQzwnG6cksn7XYPh19sM69IPLMf4bPDhPJ3v8nw/WJpoVx7Mq6Jag+kdvsrGPuSL00hHiFiQiIGKg+Iqn63qCdoOrmXOyJxv7N/u5m2laXAASjci4nBtOiy0tw/WJ5Z+S/Fi0G70vcycwF2sJ63S+Lb5klhNDF+7faZEnTXDLgd2KHukt4MOpiCxczwy4lxLiXEuJcS4lxLgcj4Mc98SisE15oqr5f/6cGXynJj31nq2rr+zmG4d8jUEdpk9NdtMl4eFCZ4vcdvvUeTG03JCkcWWAXM7bz5FN3NQ1Nb76467LM6flTtIOqKpEE4+bF+/e+7X9Tom2VR+O+9zH2Cn0pnznQeVca3oQotRcRHXvXpFtJfqA9F6DSNR6nvMvxDkHJ1gV9RWxk15XeFpGEUP90mL2u/yfD9Ynq28Tpr81AcstPj2QiRIm9V7XyNU82JprhXEyti6BA+BrJYN130TXG0z131MA2nJcyaA9PRhKiB/J5bO1IUBplKhUyHvLhShasFzNkQLPbQ+Kg105Zl374gsOA6zEr4bMOtbBObVDTPdk9iNzO15bYmY6ZAgUcygHNmEdA7reT8n5Pyfk/J+T8n5PyfkyCS5Qa2t99/ypeqzdPsU/wngnf2Y45K4Hi1qglb+ueG/5kDhUJ2EcxgdV7yfiYRxZYBcztvPkU3c00HUfxCaouf3O0iIluYUKGT1bnhNPBta7oRB6oWZGp9Hr9P3T6jkn7a63AzhtZ4Qlb6ZM6mzhxBeSxcoHnukm+t3SM0rjcbMQQ22e/s2KdQQEZ4XzzUZQuCtmQXlKhdBB21LSnUwMo4np3QbUC3dg38npgIvxmUoGbKeciBg2kOG/UlcAYOgpTnKSrCkw80KuGDBPeHWGjqN9s2uxyN4jQvbCmEbDeB4rw9Pn1qhAnuly8pvLrn81pwxR1sjMctyWN13F1hy/3C42HtnuZ3BxdLX3+TEeHh6kqZedxaJfH7MdMnXDklibaKElxLKJuD2SI/smJDHshcS4lxLiXEuJcS4lxLiNbDj3eA5roFW74Q/gxcAurz8p1xrBJnYrqmZuYEmjdzhqiAHM4oNZjAV+IRyO/SNwnVv7p/q+jZNQCKj/VjT6xYmR4mE+Ml9rYwHe/vxE6wfV5//+FlAB1JuWFTTpxf0ytfiI6+U0HdjC3AY7zYv+14mxPvdqtnMwqzFpm+aibxUOoLKtWWb4DnRZssPpcacG9N4pl8CwvZBHcjc87xfdEsbVI4gSP9mapZLh5I5b88zSamFkRLdTKoz0FkGmv7HFL3wqTMcUHmRDCMDyCHDwXH61DGq6fTMYIaFLwklfMA4t9I2iMgIa8cXQFnxGQCexBito6NB2Tyrlf4d6J/6AApFdS6KkHHrZuJ4Xx3S59Yov0or7FF/KmhGlcjv6Zx7jr+SI2PdElom1LejnSJTwOTTHq9m49V7yjsF8v/3d28D0ClJD5SBHRs3TTXZyhAo57KMWF5U6ByzMoKVjrT+v61D0/apIiXEuJcS4lxLiXEuJcS4jWw491RQ3njoCbAG9m87Nj3EanbLmv58qDX66/iRHH50jp6hqflxAD/SfgZI1KoaUS4LkK39Ki5HS8uJOyxtPSm8ADcEikEMA4+CU22c7/JsONKuCog1Vv9TwMBNXBnEo1IGQnarLHwlfYCfooeQatUG9ft82trefrwWRwD+XnKgS52tTWIlIfxfKKZTfO0WLE6kZUdYG//acwjKjVTvrcXxErbnUu2Jfo4uC9y76EjeLp8NoD43mr0nsG3vhCSQTSZeIt044CUm2OJwAr8TogXMa6jpWmTWGHszYtV3VI8da9wvObITTQfQZjkdmHpsfaKwWhcDaBNyCSj3TCC09jYBPSeZ6Y5xreAIrVmFNKnoFOmfOcwdNzV85p2HTcm5Nybk3JuTcm5Nybk3JCkbL6DV6ASnys0unCimBn5Mgk1E+O/89Sz0Teh6BPv61/82seNm8ZAv70XHUBEMA7hThG/GpVGmJJleUiElKfL/3R9XNJFkyCWfcsijO1EzpKZpWBIHCcDG2gb+JiQfSv6hRsPg/ld2gx/03v4mJD6zVwtH4KjDLKnhTlIq9GCSNzZ5v4k0ujdUaXyMNm5F/cLY998E6a3fPq09CVfRhrGieJ/GZCYgTh05/eKKIXGkF/+InRYmNfFU8lmwKRhL1mgnQPHy8HWKDg7msHNNhUz6nKZG0mcS1GMOAqzAaHm6mPpyLJWkXCbKQATAmugj8T6jjGJgMfXpuTcmoGgZ2E7NZgm1NqbU2ptTam1NqbU2ptTamv0jZfTTh5DL9lwSDe2rnJpzple52ajkyJEB7ruAo9W7rNAmY8DzPCRIB7Gyb//TRlhXaPRTIAFjjEVQTng2195wWZuoOk4FJw7wxyXglWwvrojT/Zn0w5PtW9pGoCR/5TsCHG2QfQzQwL18dNWqiQfT4B12260uNblFQ56u9s6d3snijQO3EdeQwrzpNTam1NuZ1e0VUHYQle6NIkQPlnSTaWXRov2FuBSUfcnUGppZbXY1MbohjGOk4YTfm05t0QOgYgYBFHB3HTam1NqbU2ptTam1NqbU2ptTX6RsvqjktnXNpgLQsmV7nZqOTGIx3yH68vVvLdrtpq3BUiMWU4MWtcTltXlqsxw6arBpohnpyX4m0XEtgvQGJgKv9pPEh/TOKBy9zoWdBOJtP9TpxZDLF5+G5IHUaMCQi+7c1mjYjGLU0Wnh9n5KX59WNdvPN+Y45VeMoBppEaJk1Ou4GcuWP238F+6Chp+T8n5Pyfk/J+T8n6SMIjjnlMywwKovTVy1LJiY/yamdSmfR0AnjJWjUt329lJXtcZDIciuGorfzextLBo4ZMUcbNdzwdNybk3JuTcm5Nybk3JuTcmrQmZ3cmmEfPIHQQWGZBKSk5n2EgnKgeObZp1ChfEu4MySA0IdjbNhNe5pbYkHELiXEuJZTq3oHQOgdA8nW3dX7YZMsQB6UftjVpPyLQ3JuTcm5Nybk3JuTcm5NybqNwS5XGnPPa+F8inf/wXxbwKO5MKZwqCjaHbKHWh8ishKEl9U2pcls5nhlxLiXEuJcS4lxLiXEuJcRrYce7aBmP1ZMhyQp+JOgdA5YEdih62gt5adHTqZi1hinE2tqyVq2agdjF7Qht/Z/8g2FCsntPyfk/J+T8n5Pyfk/J+T8qhPJ+T8n5Pyfk/J+T8n5Pyfk/J+grhj2S+vBziJiifXFsFetokFUbfzZJuGWnLzx4NdNLApnfaaYuRjGpgLAO7Rwy3r5rqgoGiup1Qg7NbVc6rsQmPJE3JuTcm5Nybk3JuTcEMx6/kyuw8mk1WyblaG3/j5+XkrdaoX2ebHXD/anp4qIVu7emf7n77pCKMRFz4eBFAKJ4Wb+6UHPQHVDeHZNybk3JuTcm5Nybk3JuTcm5Nybk3JuTcm5Nybk3JuTcm5Nybk32T9hyoo/b61rxWVg3ELSaAUDx/LoCQhVSvWb14ERupS+yL4CbU2mWbTH25BYUf51raTPwY/0Ziyr1iTFJAXWrUGbp5UeFsJBL1exFCJcPL7m+vPw8SESUWibFRp7fsm1NqbU2ptTam1NplCaPaTwydA5ZKc5OssSA1ft//gB0n5ZUs1JRkdfFzJqv6MPyO7O5JxzBBv7XxHgctdyCkP43L1FymgqzfGQdnvefm0Ovxu5+T8n5Pyfk/J+T8n5Pyfk/J+T8n5Pyfk/J+T8n5Pyfk/J+T8n5PxEfBEv74Z5N0SxZ8WqvUEmEUJD/90+L+TbDoHP1btp0KYnOnE16rxIufTb1hYcSJNRhXEiqsbdzxJPW8OTI1S4Z4jle348bbAofd3KGhq5BoLzyfk/J+T8n5Pyfk+HgZQdNybke8CSt+uNjWKSaHmtiFGAzCg8WHKTGs5OAYu2eswUxMaatJW0gdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHSKy6KtJcTZG7PDLiXZS78SMRPgpZUaUAxJ0DoHQOgdA6Bz93OADEnQOWSnlOsdtoOvd/50q1t4Ttk3JuTde2r5zCshcS4lxLiXEuJcS4lxLiXEuJcS4lxLiXEuJcS4lxLiXEuJcS4lxLiXFNGkiJcwj9sm5NybpPwy4lxLkRtTam1NqbU2ptTX6RuUkZ+IWBJqh++im52nYbN3hKckZ+T8n5Pyfk/KYrJNJ0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA685QWGfk/J+kifk/J+VQnk/J+T8n5Pyfk/JkEmC4uZi75DZTh4YNFsb7fnAnG9Wm5Nybk3JuTnq03JuTcm5Nybk3JuTcm5Nybk3JuTcm5Nybk3JuTcm5Nybk3JuTcm5Nybk3JuTnq03JuTcm5Nybk3JuTcm5Nybk3JuTcm4IZknVLSD18vZscu3pmP0yPOgYwtgLAWAsBYCwFgLAWAsBYCwFgLAWAsBYCwFgLAWAsBYCwFgLAWAsBYCwFgLAWAsBYCwFgLAWAsBYCwFgLAWAsBYCwFgLAWAsBYCwFgLAWAq/gZTKESfb25DJ0ndjvoSg2nmeGXEuJcS4lxLiXEuJcS4lxLiXEuJcS4lxLiXEuJcS4lxLiXEuJcS4lxLiXEuJcS4lxLiXEuJcS4lxLiXEuJcS4lxLiXEuJcS4lxLiXEuJcRrYdLy9pwXtlLCwX0vCodzEHQl1OqKRRHBF46vy2dQ6MNZ0XzlNqqmCRHdTpDcjqVfNGCFUva9iuCCQryYw4D/iwQmyU5GxdCssvoB56X1ZY/Wyznch0ZVOnMG/1RAz2KrcBEVObosjAaPmNSAElAP/1UqfzZMHNPa0Nh3HlhRV6SIueGNwUEs3VAEqB15SToLd/L3xvE4Lx/1rlGksQPjzSzhgMHyeNsMI03gmCKncxTp1uQmFMmVTM4YCvX7djqWRZoMZheiNj+nfkuLFIYPuzepDCbsP8Ga7APVoWoQCvAqYnuogS8jjKF+lClBLQAxJOyncc62I5np60NNRwoj94WJRlo6XIdS6NbLlr1aMo7cq/IVCjlTbLPb+NHoIj54Om5Nybk3JqhfM1CuMt75FWhUQGPZdqecwGxW7L0CF4MnhgPGqug3UHX1cBwS4jI+x4ytEry65lR1yw5iJ0Jj+mdRjcgo1Ea6NHfh+plxGleX/zy6jmYXTymgsu6+V66ldwQnxOam4oDt+6X4D5kHmX5t1HPaU2ptTam1NqbU2ptTam1NfpFkBbPZHUNrct68sanYZkK79B++RqsjAnaFmN1wv7qyHnzmvzZjY+vDNxaQL2fBwZyJWMo4bamukWMW9KXoBkYIaWWTrwf9sgdnFldqgjcusuKxL/gAIuFI3GwAtmGZDK4u61nbmDUHVyJHAXyuu/vBu9XVpZmEuvNWBfRcberlhvzt5Aut5NfXiXF8DfhQu8V/KCDScpuLYehIdpajGBAqxE8yUYLYwWuXX6l8uqGFf9rreoLgv98EpsidxfNJEmtSW/nFBoCV9TQjb1tBAHdzDR79gITppJfTIuw0YIVkGUrT6f66yupEZmYAldmzbsjAu1083WAcHwGUYOyErSbG3gOtEeuawcmjJGRW19hKiXOcMGE+0My7y96HYGE4hqEvw6Vp6T2Al1KhzKmyimLBZ3o7ZQvx4Dnw0BO9ZN9/XhUALdiX5KB87BBMSxNozOnxMbFKGj7/V3MWYIXzFf8YDTUXNGo6CSdeKsA9dkWn75V5wmg2m+PFVLxevC1p2oXRr7WThNQtYLzfyurElBSds8YmuGXEuJcS4lwJi1DxVq69kOkZ5fQagrpnyKRdHWH9IpJsKnoJB+DrqBPJxtB77MNhsnjP3jBJO8qcW6XQtrHm7WW1GW76ZAb0mvWC0+EsTPH0OsttxJRVSIfyXmvsiNsnJEiOXkT4h0ccQFVs35oLTZo2ZXE15Auv0XOU9VK/1o4nuHF5pzf2BSIJBcdmMvyyh4Fnrt26UJFjKA8gcTyfk/J+T8n5Pyfk/J+T8TBpnmucDIfo5UE+Q2TCsvuGngMw19dBKHkg44drPG7mEnT8eWuiujCnmbpoJ/LEl79y05a9o5uXrSJm5+YTzGdQgMtWWJdUpoitMTp5cQU3ee//Qxf2bVIlmXlWsk0nQOgdA6RWOA9poz0vBYzDTk8ETSZ8LwFTMzF6kZmnQbilgHhF3YjVQ/q3B4sOypn9ELJ0DoHQOgdA6B0DoHQOgY6cPu65eUr8G8UzYt0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdBcELnk/J+T8n5PyqE8n5TFZLH3QJ3OqTSdA6B0DoHQRg4nJ1Nnf8qYtkJNwxEZQs3qt/WPxY8hwURl3LsJnniqAB/e+6Bsew6nvkF9VceA7TC+y9hmk4TS2hUblIfjWxwaMuzo69iG3JTGn7uHgdgCRYuLi7fa9a2sk0nQzp0DoHQOgdA6B0DoHQOgdA8m6B0EG2QM/J+T8n5PygZsoBiToHQOgdA6B15ydA6B0EYMUXBk6m5+T8n5VCeT8n5Pyfk/J+T8n5PyflMTiipeA1N/9G9YKCNV+pLz76hyJTD2rgbKuQknr26OSEKZmLmeGXEuJcS4lxLiXEuJcS4lxLiXEwkRLimjIlxLiXAjZBSJcS4lytJcS4lxLiXEuJcS4lxLiXEuJcTCREuRG1NqbU2ptTam1NqWtb1ok0mQJpNJtUR03M7uG4QSZ7P8S4lxLiXEuJY82cS4lxLiXEuJcS4lxLiXEuJcS4lxLiMvvXDpuTcm5Nybk3JuTcm5Nybk3JuTcm5Nybk3JuTcm5Nybk3JuTcm5NwRqKvvU5koOm5Nybk3S4k8MuJcS4lxLiXEsoHmeGXEuJcS4lxLiXEuJcS4lxLiXEuBaQKInQz0XsEnhteUXSPRewSeG15RdI9F7BJ4bXlF0j0XsEnhteUXSPRewSeG15RdI9F7BJ4bXlF0j0XsEnhteUXSPRewSeG15RdI9F7BJ4bXlF0j0XsEnhssJcfcMZV5KlE0SGei9gk8Nryi6R6L2CTw2vKLpHovYJPDa8oukei9gk8Nryi6R6L2CTvcAiX+SaToHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdecnQOgdA6B0DoHQOgdHZk6DNR0DoHQOgjBxOToHQOgdA6B0DoHk3QOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DljinakAccOkTJ12aMuA+73RA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgY6LUSffzmrVkiaMKuLBp4G6WJNybk3JuTcm5Nybk3JuTcm5Nybk3JuTcm5Nybk3JuTcm5Nybk3JuTcm5NybkdiLQS5xM+fh43oIfVJSf6hK+psPp/vNdufX5Y+IpLIGp8mizl6EMBOg8szdk0oLZLzrea/b//bgb1Gwb2KxwgEdLNxGTKQP6JpwdrMt4D7VlJhsqRQtAzHsriXEuJcS4lxLiXEuJcS4lxLiXEuJcS4ATtBUAdqo6s35ZanhVVcoujBR63NXiVvhSp4JpKexuLrbZAhneBdpCX3lT50t4xtgoSf9vgUy3Q26RwN/Lyz8W0EIWgSxD4Pm48E87PQsWG5nuQzDy8fLDH4RYfIuNE2RfG5nhlxLiXEuJcS4lxLiXEuJcS4lxLiXEuJcS4lxLiXEuJcS4lxLiXEuJZA3CmNoJcHeMsU9vnjgNfygEBHX8iGZYp7dxKAoYLmbHHzpohcWVg7Cty2C/f8b08J7ElJD9vNgF5/gsjhP+a4aYE4GFGpym2K8bPAQPwpCnH+71Np8OskOtcfoo1KEna4nleh5O+6fYSOsnQOgdA6B0DoHQOgdA6B0DoHQOgdA5+Rb+xoAJVUzJZvMyhc9CprBanUY/X1Fbo/1XXg/9nCOr9laRw8gliOcUz2r/gDWRbR9EGA4FMuDA71+UxQGdINL1uU2ILI1wMaf9SR6LuGSqGl1FBgXbr6peMZ34zCFvpj7ODv9gTcs61Wlov1A0qEoX5yF55Pyfk/J+T8n5Pyfk/J+T8n5Pyfk/J+T8n5Pyfk/J+T8n5Pyfk/J+T8nvjfxbiV8Tks7O7anEjAVgG4uPHCUUtSiZ8xC6CsonTz8vnanpc3GI0HBe7pLlGAccT4YtFiY8Gc3ER/EjuYkIh5IlxLiXEuJcS4lxLiXEuJcS4lxLiXEuBKWER3ZHVq2b5S96RJTq/H8RpRIL9KWqUO0mgtDeRmc2KujPYP4U4BK2Ueus8a9Y6FHviuZyGA0AcuoRlxLiXEuJcS4lxLiXEuJcS4lxLiXEuJcS4lxLiXEuJcS4lxLiXEuJcS4l1pIwygokTT6yda0RLiXEuJcS4lxLiXEuJcS4lxLiXEuJcS40kl1tg9qOLSuPwwFgLAWAsBYCwFgLAWAsBYCwFgLAWAsBYCwFgLAWAsBYCwFgLAWAsBYCwFgLAWAsBaGCcnXnJ0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdDOnQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0DoHQOgdA6B0Dn5AA/v2YAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAADhY++0v3/VyJ8SH8t9y2qE2RC4m7Khb2tQngmaIlWBSzF6A0IlSrYWj1NHV4AAAAAAAA/z/s2jROtsR1uxQ7S4WMevXL8Ut9re4menkRNzpYgrrUp2lIXlMOk8kQyu2qksQXAhwhGnCYtUg2tY2ZepzcwV2RA3fgNzCiANqu6RqI55AAAAAAAA2TbS6BmMF5TP+1lRgRp35zrEbUSr+octqYLqJ4aJGHMVZvYBnF7ZlCFBHGocQvcR5AUePPN9jqvntzdL6kF8syxc8+tlzM8Em89ngUPZvzMNYrF5iyXBU10AqiH0AAAAAAADiKf++EGsrhzwjUoFgrAVWiN2UqvfdGOu5zmTrJuPvDtvde5Bi8s7mBMoU6HfaE4rAFT6yinZ8Tl59q3kXRpgx+XaX1Gd74lNlLzpOfS8T3ZU+mucQoQlzhIAAAAAAABHbKjXlvpPLAlZK4E3gb+k9PaHTwquqxvoAft7ZF45c9kH3uN5DmXSGdaJy4JshLUlRYUjrb/IM46XoBX3NU70pBkG4FZ5SC/3dVInF/47F5S+9fcMNZgGBUCF7yAU2KYlMdk65wHCVPCemdX/rUvKnShNHiKo+pJ1SPcHtkVTbGaMINlS5fqEK0m1Lwbn3oDLvF3pAtYaOA6Q7QF9VKgpfH6CTZlE5cAd4fBs9cmhbyibAkNjXmisaGxIUVaNn4H9FvEb7qxzxjpr1cQhNbOpf7ZTLhfAt1+Xz/8AHKqZ1VsmY6z1o8BbCtskZoCJXJNDSU6yFkz+xwILCm7MbxOQHO1X6UDP2o4YLZCuP+FOE4o+WwfMVtO0jwF1P7wxuzDOqjcj2MgAAAAAAnB3JGUMLRA03QRKowR0zJnrHdjseJ7UUas8MPLqVd0bel8YMqm5KPSYFrXFBxq4sk2gg/RBJSKUnFrfLCl+EImU91u3r4Cqh0YBzSHrMxvIvJh5vuv2LmgHl4FR1RaCgAQJq+ReKY2z3Z3sCchA96OeC94vBcLh7P/BaDrkMYajixvolH/FOETjowMdpR+0oJxUfKexwXfXMhN4ZSwtIWC1/P0pqPWGsHmvAwlIMDdjwUlO1EnhD0MC3XCJtR450l90g87BarWsFoK7hBZhnV9/n/Ay2Rccv2As49JmNXEjG2ocg2sJythhNEjqaUdVXjdMaP/SDjt2Pppan5vSjdaWAnJ4lyp6FwBzGtd5Su+Y7VKqWWWCJxerfSssJfcewiVgAAAAAAT1pGmO8I6gQD4/c8I1Jo6o6Fg9V2blJ1lL60YNB1V5R4m1CgauhCmMdT3FwlZFPDP6H1u9v8LBTK5wvSRISvKmTF/MkdlpZ+zXJSnKd9yb3Lc4wBpCfPwj/Jc4H2un9cLBNu2ZT0KxIqj1Uz2wvzlngdlSQbF8iPotagSc53yqJlzKanxHqZ8uoOJ6a1mExAoaEWVCgyXepP/w7SlW7766gDT8+HwaGASdXSjf2DR+KTPRyHKk/nq9kU8xgK3DpcMxivoGbbpf3a9d/abe8S81/vD3baHOwaZ30kt8Rkv2f3wZRTBuOre+LP1BfrTxJ1pnv0meRECHMLbAAAAAALO2r487+yvPMAmV8rk8CFBssE2iq1+15Lc3rpWZyPJchmN7Dh8JKDdEUwWVINo7jOnOw5mgFwPEHW0bpYf9k4YKkcGFlGuOzBVJCFzB+MD+Di+lAs0g4hsh5itHL5uuGNmoSoMbYEGEsJdMOCZeDW0hn61LyK5lGVRqjtYyAxN7mi4E0IBuaCiOvE4kzKsuo6Z0ME5fYDRr48pgAhIugXmXtwe2NViHX8B4AU9CWuZSPP8/7No1s9tq7cgIVUk0fNV5RzrtPK0B8cuc8GczW2ePMh2y2Ub7TwsNZfElWKwIvG2hbbOGy9XMnNJ+D+lNyFbFkYJC4wwCEgAAAAAAJMbWqukfIXNvcLKUa8/3ekPyDsQsxuMtkk5sKulvY9+/+q7a+7EtRejQ+4qRLTxsOYdSy4GKmc9RAFO+qEFzn00wwXJuFuHlF4TDE3SRtZhltgpv42T0PBJQjVYJ3fTbSf8MDvntmiDgF71uFaAQEwciRalI3ge6tuxPzBnC4+prfx0vqNCC/PZrddmMQ60M7NqLpQEyw2oQnxeba0x7QiOLdeEmqxC/FLfib7fnLgTnVAYbskN1LiDC2Btp6tunGVz9UbAMG9iMrYvin8q/8FGSvSrWQdFxYXeqyuFP9g25JG1xFjf/bToyUZZNpRNX1YFYP9QKAAAAAAABnxs6rcK0AF1iMoYmqAd1fBnURdPHmmK/YL0aTa+gbuW1XPzGOVKPGsTfxlmZ+qwHjqVlOBLqy30XotbPoH5b4iMb97v17ROUeaPoFe9Nbqt42R4ZlLwR/MyITn7eJzekVIREzPaA0WwrGYD9Z8za7Wvv9BMa/9HaPqxtIfX41TOGp5KkVD+AwDTCwHSRkvSUo14o2cJAkn/xw2YQ/tC+LB1y9nYlWLcwJ/0Q0zCqko1Cq3fri0iKUmU55P+a225IPbr6HrRHeF264Sg4HFLfkkA2QwR6vaaZ3qr8btvZCTHMXwr6LpxrAAAAAAAAD1AxTbyy0BtNKeZf/UnxF51EU8yDNsMSmAD/PIXj4w54LrOk+SRC5AzmYcaWYdBSjpHAWjQoMac3yRvkT+TsCq1RzaDS5MY13mp9mwPJvnzhvVsx47nSyJUKC/bk+ryvPMAmWH/TaaMP5uQube3i2eLFo/dEUE9CNmgCgSn/j6GzrT2kPRNPbmeAW13zZm1R+LGFgkt0j3g6MDHRGJcO3yjSVNxBligA0xbh97isHVCqhX3QOtyFB2wmVcMjCsK6jk6Lm+AjdYlgBiyGBgOC+Ys3IQteZIxdJ9ud3t9TfXL/4ZLHVU/n7I/FdwYL7BT1aJW4TJ27iC+IAAAAAAAATOaQo0c+OvlNY+QblZ89Fg+5o2g4KCd9pBKl5zU2yIL8JaPGv0bjCJoCzIedTMQGNbym4wEfM0Xsw+z+NFV0ieO+s4WmExGeJ6HuyCtTzKMfZq6oANMW4dvnY7JidJfCfK/S4TBObflwDUeGRHkhFMq435f4hcZSrjWNFTOivQScI97/UIJCmISlCDQuIWg944kEn5w0qNIIZzwhVnr8pruVg0mnn+v5Y/zbkNDWGGtwlWSfl0ypKriiuIgzmmtAPlRCVy7ku/zoDLoYgVENNIhyFytx1Oerv2e9JS44Y5JNV6yksxUrEniu1rAW3TPx7/P15gL203GcgKWIygU5+/oyyXbUI24zmaHzeZJW2ycJtuP71G1IbUMgxHKIylkMgDIfNtD2QuPNtzQ1M1aK2vkeDURMatxLNYzfvqjVyGg9Z7P32DRSIwqns8SaFGlQB8DOxuLhVLaYrB69KLB8tvU6D5HFKinzSjM7LbTL78Ak6jEoyCGloFkXi6I2e7pLjGx+12wHJuqGcDFvDS/dlVQiOdtRAt7cAwpe6RSEI0ZevvqmknT5Zvx6LkgKx54AABHuQ+RxLDV4tWNp0fGLVQfRqsPj0I37LBJeXugTn7zJFBCNhdDzzDXAU6rypZSZV4LYnCD7yEvy3vXUEr/OTz5dKjfyjoXLF9BH2PYHCKliUn3QjuoIxwSJNvbuFDVOt3NwmeMIOMwAQMzRFGSAjhdV1T+4Mc2Y/UgbyPDUTwY+wfkEo7dI5JR5T6I7Jg2p61eyQlWn5nXuzHyP5qw4dC6I8V/vNP7qQxFBdY0MUbYnSygaNAoNp3By9EKLaDnxEE17MC8TH20JIUvQFpHWvMBXcU4WTAEvJvCJuGqUWZV9S5O2m9/xAOzfMenU6qTClbq/JBWdoxD2khtHO+HlUGACuiWXoTEUZHBvkDu1gCqvq/ryp2szw8HfuQMUMYVNeqJiD12b3O1ixFkAMZ4+ak1GjZbke7zoysdGNOxDKrE3SzUtC2pQw9MwkcB0w2rcWqCXHuMeQ+VdWXGrAQvx4BE+nV28of1yEEoDytdtLMqFKyjfavGD4Mq1kPcLij2hkUVQewZzzC5NhJvm+cb9eGm9D/40gtdyqAw/iXsaYtBm/UDiwBGV0rDxaC8TyyuMWqprXJJ11mJd/vXTuYPHm/6R/otBBb//AYhv4TMdAcdr/hb9Ck2YAz9SOe9PM4o3BZf2xmwWaSA3zZbM5VlCc0tncfdgpGCs9ws0qIUma+UnC12fzaCwn1DmsY2vNhn7MnG7AjfbsRMPYB4LmkhRpruqAABE9YhSf8/UHhTnTdbMR4FExzImeSUWyVYmOA3RiJxAJCHjq2KhT2sjcTQ5+FKvpDzekkq21Y0LK2i9HuEQWfeH5uNHwsb2eXTWeGCnnSO1WBMccugmwgfb+/SfZMJI7a6Cj+hhU5WUi1v1u4h8DQD3SMYCBHC+PVfrtbRMqCVESu47mrHKnNqHiaJ0KA/29M7CPnLsKGNaylt6sunhx6PSqH0N7p/B8cnOdgA1aUtzFdRTSa5E8ph/HWJZJbcia/yQNBnz14pu86xblqMvAuf1DZgbc2IB/AIxAz2yGamh4XlWtGYcGA5N1pp8jghapxxVhgaUCCHiHxWsvNEs4sYfO8V85dZyCTTv69x0R09L46jhmD9Pg7oEv58ynH6IviP6gPjLmQpB7xxbSyZyLt/+Mqs85E/fAts3aydodKAPFUTZohcwMx6gZZ4cOHB1/6/u4C47ld0/G7FSsyPnSKzNqCnnixKiqzxO8c/q7WYT6hWmqAXqAUthPrgUxzysB6PPrEtWSf4W5cMZVPNBW6VvBevW6W6YwqvVbd/ydgk37jBdCnnftm2XA0MDoqFOGBAaLkdopgl8yHvk6lPzFXjaY4r3loa/6cjgDd2O5z3+Vta3hWJET4NCp70CpWrEbSLFiC+nN20SXqbBEOMu8EEzOAHnsSFn8Rk8NupOVOfISDS3N2XyWLakzjZvcLmMOpsxsVLoZF2elBitGHNcJgIfOuFsjZ7rAjYAABMrdIgneRzrZgskx4XxkCx24ickUFD/zYJ7OFk8NjWOI172qOWZss62ILFhq7w6E1rdZvDERcsjzPJBcU+XQmmEg+8fVZm/EHNBUjY85MC4v1IlyGoJ318O16fAzbsdlsL5UkQxmlgHNgyyVHXIcx3oR0cDnu/G35xy2/M6pPTqK8IwQgXa+dSXII3GkVtJDcZxam697sAQ4v8ncGuXpFeEoEo+AP2I8TXaeVW+aFqIHIVF54mpTHEcJFET3rMs72Q3EttrymOJvPArW7glipquyvK9t6EY1fVA13PglsWUaA8XIOx6P5UMUSybekh7i/sczCNdtSlyENtKjl+sNtEaz6UbPRH7euh58sGKssI0NiCAZsvS//hK2FcK6jwoFz41B1zYKndmgIAYfmDfbUP927xGd47ZBOzGiyBIfFuW1BZYkfH+v7tYScvbjKT+fI9pdIBF69ip1QeErzvtRTG+81zDW4+o1i3iK+U40ZjZBh472WDxeWK81Dyguy5WB1o1Tto/7OCZOMlmZPchpf5no9gIRn/ykfVkHtkZGwwp4L4BOOfWNd6gpjmCNPoJfSZhs3TDBY2tXwH02GM+wDPfUU7grdprMiV4m5eyX6s6iugldPh4prrnS9o23z1rxCeWrC4AhU6s7VthBTHLe599ff6S2PI1Jbe+oTZaSHGnNRGJ2lHjS83DbQZFlDAqDPsokMO0M/dIICVk7yiTITO45LgdTgH2IXAaDq9wX6htuAABVvfgHG1nW9b9XR0DSQWeKpZBbhOzH/3AqW6vSzTs+jbyVStk9UVJQZfLvj2eSKDMSUGoyUuVqKxKXFwLG/h12WCSO8ipWbQcty0mSFvWjPpukzKveluKpIp3DlWp/uuR07Ba4Z5/w6A45kPG8LvTaXcK0PqnmT6VU8/Ho2ne0V1P9egBFgVBOskIgYDO2BCJc4Qeh3Tfo0rniXT0SE7muS3nrEc5ydWlNgIGDTeFJVDHblgRLdQJImoeIWb5cCJtM66jY06Xg4uDnamJURlrodDtl1p1S6aLjnFAH8Fr2wvyUz1Xtz6ipvNe84lE+1orfsAhXxLY1cpIC6zk2f0RsE1H5bjPZlYywOEPY2UaEXtwmn9zIyGb+zH6ub97Oy0EpU9wJbHYbrcHO4/cunWv/Mt76Fur2KLmDjJ8n4ymu5NvVIcTiVvohQ/K2gfhkn/ufHCutdt7ujHSIhNk+O5gpwqt+rOFrzKRxXTuegEIz073DsvArXsGijCSCWdPN8+tqpopvrkx6ofpB3So1Wjo7Qr2J2avzs0cTnqsiglrQcP25ByDgiLcuMGIiPRLPV8FRZWGvPGSvyW67cfJYF9mkGJ0gsdACWm7Y/0QDa85SSu2o9NkhfFjgEtorA21kHZn1sUcQ0Ct/CxYlSxdAJ0+BDsm4EXkyAb+glUJHv8DUhT19xOq7cdB6mYp3l0D/1kESyfJM92OnOqL7i8/WTpa4jL5qECLUpo4JviPp6gNTdgafBpsocH1hep+FGOk/FZM24C9PG0KsEUSOc4HUP+cl9XXkW8eUEJvlpSXeGTCv1ZrRdET6fNzNxP3YStx6zgTGa/BxO5WOO+A/xxe6arROs3kDqR3ssA8UUUBEbBQiV6L3kjobzSqcpRvo9dGeWPVKaWi2d9UzhPcWO256BxwRyziLfQOQ+R70U0oQObhclDd7c65qmzEgtyyXwudXSkUL0qgEdvmHR+AfQJv6FuCeCfeDtED2wkvKnfYydlYSmZBFuCZvteTr9X/8T2V8ka7Of4Jc8nIb373xI/amksd/REU8BbkxwNH7s0D2vQ+jMEsKfkZl9ys35FupgX8ue16CqFUH7tqPcOC8vilzydMwHJhw1Y16BkS+ldermqA2zLP+EzsOIUawHx0JRQHadrTmcyypa+nLYZ3LTfL+Ljz3qWoMHqlgdr2jwTcSif7vcImlEHu2F1eYAYPQk8ySJ/2bRpErEexZKm4DCn2+UwRYY8roS0IUQqBtJ1yHQg/YFOcyfIlSHYufy8r5arLfSGQOmjSytf9KTNtVkR9QF01ibdiXDpItohWlfNdYb3A9xJ2GTP8vh99HaQjalDD+0PouF8JBKyBEqQoWdtXx54N7wuG2xdspxXoA8xNqJVa6jUAysViXp7i0XgZeVbR0I7aJ0PXj+Kn/NXxnunJr2W2iIIJo7URUJ3v0urIREk30lIDhNCoKsMuwwo0ya/4XqBrXdFa2+nq9nqVp7Je36QBNlmjTYgC5FXvQD1pcb+kAzpD+xSuQT92N3KYPduEEhckZwyzVTwmPmmf3RemgD0kg99rFns+RUw/1XRwIo/5Ew6VSN8gq901RHKDd6JgdvsiY3y3l8NxNt4+Lo7RLvnZrEO0DBJW5tMGAdjrpbQA7zspewDoGbe9qihO9cNrJnpK8muFuuqq9VXo77Y1csY6Y2ycXbEvQUmNsO1LF5hxGX3X/jaSUmPoo63cPGktHYbmtYGjIo+JmiDNIsEiu4WHKtSjBwmIKcvIFdezyhpdk18vztUOPK5VkBf/vXQ5g7a26AgLhpqkEfjBXFxKq8XtxYXoDnC+1TU10N5FFkH05E07YqsBCTe9Ed4iACknt+FilKw528pt6+p00K7tLdOMpV6p3hveSZwhDZasHMd4WcXgTDzICrOH5FLTCzThSXRvrwSegZWn0xDnIyjYMv+GNQyMZSynWP44WIZco0aY+AEg0bBi2PvhgQL1C1AtgVMQ5+o8a67A+PT2Q16z7GHFQUau1vgO34uzRBjwA2TEilaCJsyj6P0EiluwaqZ6l/FpblwdW08PEH/ZJY42oWCLnKfKEwE6xq6UOqkqXjY4M3BGYPntlFkAQsXC6x9hz5EIZzXPZImW7azR9mACQmkCAsASENMwVelrcc3fPoIR54O4AMRrp4pb8vlZhijsuYnTcG6mVh1/ElJRm7d1AJWOfyCtcwDT6qoebeFi9BVZhNGQibT778lMY/+gGyLWLXP2S8O/5T4EQRchVaM/BfHMQesCz76hOxpGsujbIA3R5bLp1b+aDgwGTWIZf90mnWANPQjFX7Mfbofxmy0nrlL8zonfk19szg1BD7niq2sXpgxLRb/1MzswFNXUzYeyzF8CkkptQWoMVMyB8C3aDGMgF7OgImf2aEngJmOLgm4R8p51lh7OSFll6aQPHcuWQvYLm24+rkGC9A44I5mnT9ZwmESoUsqyk3Z36zawOcwlQXk+R/Wvm3jIy2x4N3VWKTcZYV//WSpfBKrqB5D3NUubgT654Ga6VKFFiMrYB2wu9mvMMoWeC3FBFHT+oDX+ZZ+aOzk+SXbPc0aLxnGNKJKj/P0QY9hOBn9VOsw0uGByyBXtVc7EYST4YzSVvNXFFQzAuqCpcud9DBmsy3W1K1W/txRDLocnryn/ZHQZ68Xe/YcNqvJkOwmnTLg+q0fvWu2LZm418dQ8h7RPiuyaxZK3HR3TzJm7GKJsX0xY3z6IPTnAlmUl7Kpk0ZirgXJcVCVL8Tvv6qhwglpXXMF5r4ClORnHZETAAlpSKBi8TEHr6VdChtrmZg9pMfc5ndlNrQyLgsTN2wcNcnTvJlWOc9iodcjVLnbOSzXRq1xeqnXVDhWrtP3oJTsWPh+3SY1HRTBI673eb80OsHac6UaTS6SsgT0FuMuN42/XDyuKAg9V19xrcthurZQD93+SmBtZEdeJnNY3EJ7DDvwFwEiSQXS2mLA3X61LypVnOCP4IHw0bf/uan0dLzpXhjl/tEHl2SpNbigN8NTyqmsYvvOCuuxl/0H35DCcXoZyVANhh+lC2XwIaaRUoHEynYE7L6JpNh9gFsH7iad30EjCVJiKIb7J/stqr1MWKjVqa+Plg43sDf/p53JRpjDAxuG8iqo4B4Ya/E7+WzSFF3XKwMUruDBFgtoscxGT85iGbZUct1la+1EyLENTRT6pYR89rbuZ3NRDvgN5tkx1EFmrBvw85EUJeLl/4immyVHNeiVCAHy5LrzU9fhIkzqNwo6/vyT6ZYaVLpnf9zqD14xKJUu/W6FzyXjZwzTsaId7r+mAkzqjHVIqHoXHpCxW6o2pjQgLWuvXD7LVeNLGmXFYZI+ZYSUTwcFhf3XARz/oE9BbuvUSqea8zzHWK95vLAhYE3mKptG7vGT78q6bTUejiduAX+BFaGKPUBeYnvO6X49QXTh7AG4DgCXP/fgNi+iwu9nXL3LjjNX0aDi7N1nY8+yKfsIS+jWXgASxgfBdQHQAj/iMeCAQ7GdBU+ehJaPfxkC6GiaDalqfDhtfGq+DBKj0a4W/h9VXpYRa6uuc2DMkWdZQKIHOs5ezECHA3PwviVAqZcBRaxrizjkcmA+xFpW1kvG2X3YKdwEHWzCxT8tm+q6BZl3x/5d3zmobM23QX0d3keiwiGvfWjjbriQ9ItEwL7h8vsUZ/EqzmuI79jruKTM0ibIGGLZL1gHE699M/eGa8yJAy50SN2lRAFuZS+H0SK7Y+xkDHGce75u0PmbyXVZ1wpfcdN5byVZGV7WMeG1Lw3kjg7p8cMQ8tdOsJfqDDks25zk62gdhJVhw2qoIvcBXsDmEIh/kxjKuUKqQ26OckHTsBeehdU4LN+qAf3OKvhC1zFsHnPcyg1S13uEVjNCE6tEBTPz+xlwM2W/Q5Mft13SxEFPMlW9jS93FlABepxtLSTbhGhS55na97DQ6uzPSnIlWjgKADbESkZViZidLRIAAIfe8ovdW5i/nUXbqIbECTGiyIdrFBL2QlEMRjWBpopYfKZSMVGHFWE1g9qlOfG+A8kQ16FKaSJc3358GWksRETkP20f7+roqOptGDcQ8ydCcGbq1uej3pnRMRm3qZrJA9QEvH6NbmJJsBVgGK2yC8qz++UqWFkG+LrviA7HD30LUPBIdvCzcHq92U2QJCrhwfOPhdVlFGW3hk8O73H343KOOeobS31gyVr8V4bpd1PQ0zNEpVn+b00asYhhKmYh5bw3dHjcQ0ELJ9IjsmRXnsa9Uw2/+3wejX1uiY6r3kWNa0hp7EhxYJB79ftLuSV5qwMVImoOtjiUX7fKi4eD6Ge9RTIcgcuBvuGljILZrb4Hl46l73gY3Gw9pi5W9IJlbF+W0oH7Et43M/Erma1uvuWM4MLqVyhBpHXrbOyOCqdkshA8LEWpvIhHuH3TUvuz3cYNp4ragjyS8KBai6ssYRo9QHMWD4fA+7CB3OYpdx2lXJFk1CfmyRgtIY2op39wWZpUkqMGbT7nTuRr17kgQaW/8K90Xntic8J2Et3exglEnTEZeKFG/1Vw9Xm0hdvSyqYpWVTYXRSWOGDd4OyiLT9L06E9dt5fwrxYiEckCFwiVPy0pIUiviIQiWNioa4D7cw+6l9p7icK+sYxYb87WC/piL3fkwBrigrusHU+d5gI9o/dESkkP/SqTVvFutla5E9TF9MWN9Dc8FJBotdgc5L9iSMv4dP8/LBxOIPyefB6sT3dAME8nXDRTH+cV4M3kjhJnl+0kByI6PbGkDUkknMtYFkYWEyx8Ufj48mpojRwCKSa9ZU3/LeY2NiCQpqprUWmDwi3LR9KwvJqzCv+fPcfCicxV7UDENII9euSRbOYtITwp+lhg4Kc6cSzBQXooiz11S4QW1xzHCAFCCesRz5YoChZ+HYrRdVd8XIiLenQ+Pu1MWAtM4T9+RvqQwxSKe7VswnvS2H/JJsWUeywSZpP7qFis5oDIUohXoNUWBOY5af1Jsjsa1HMl0oUL84AYf0uWSdla5pnlI3+C7j+SN/hdC1tPT1NfD0sjwoNbO/cKpsVF4DZCz7uHlnTpG6eRhkFdPlPDpMKT4Iy4PbTZNIXYSYRdDggVgUPqs9VbukXTQVCvTTXIqILxz4Hs8Ma2n0VSYc+tES3J0VtGSNvVHEArDnPuAN7NB5lmNkvxlKblBNO6mWuw1Ex93z7XXONoR3tf1puN7Vdf1JOXEMxdEyWDd2pQU6BtQ4v/yO5VZcWIuOxd8Nft1t7irtFpXlHQEMQaDlFd28zQGh8/1C05yQ9ic6A/G5C1Jx9dmsp/WTRjW08P9gN91ad1K5ZiBJu4Htuo46cjRDYmirXyLKUyMj5ZsaRdCQSWV2ScKn1FwAeSFxRXkXRCOU44pkT9BvgAai5wjxs5I43zKAUlBPqyJ//f34dajGpYRAP7WG+EnBwuBY+0kgTwpAb2zN9zKo1545/WRgLzFVE+OfIXgbcx8Z2luGlXmz5rwCJaqbIxPYfvZq4+Uv/RQ8Z00TU5EIpRtRBJewea4DEFx53e+vZJcmyh49TWRHxzEFo1zEXqmxhhw5zkpVOZQRlQxGoOAOY00V7kmZ5ij7mLfk5+1L8+wSPdI4h5CrsQj2KcKDT/wmTesUx3U3RdCcszQOVhdRsxfstSg92QLwgikgwzSC0LkLLH+Mj1phIaE9cg7BYAWrsW0wzddDW3M0Qp/VZdJbSNCMpbMjO6shVuBUnr+8ed5Q1b/BjQmF+9lustDCzBz0sBCFDGW9oEG9wLZEq6EMrkAJGB30wmKWCmU1ZYw92Tt2NjXK0qLnuO615alYoHW6ArNDi4iMo2N5HA2uiDcMNh2vx76GJH4kGow0+SddiaDRrvPvigO41aMSpf9lpK2tF8ZB+BaYNi9cyOkxDc4WRda86M/Hg6EfNAHA3jw0prLcDtIQEaNyfHxfTkztP+y7/vRDxu9oMI19QBZDe++Dkq7CVe0lyyACXH0/yQ214PyfyC6fk/rZspI20V1VscwJMHmU+jBpCLWG9ZZ13CJ9y2+Jj++duI6mn+9QkMzasJ6eAOrWrl8taACo0zgDl6grEYDgbzCJ+16FU6BpGZ5ikEsnpbVfBUXoWNqz2QD5BtpoFP9g45Ghc7VOidqfTbVPhdkO4qFAzOF+RY6pdm3uajHtpl47shdbCX5XXsH48CaZ9RJaw0OJREQxnAEROhYCm42oTPv0c8VnZQvN7V5tIXb0soXSGeMq6EeRxnxExOnYMttSz+JtX3KMpEzoh24kqXktlPpK3mrMz7LNqwlVtzuMtE0r67bvla7c314ckuYJiRZzygNCNmM3vHuNYkhArRzCvLNMthYG8oc8VHuvB18Tf3X/11/qfXG1THM56AedAg5aPcvDs3Pf6zhr+BPShw9y7TuuUbe4xQgfqvQAsmvMq45MWIafXDKllli+dvDUfu7DtqRMlXKvj2eWLRweswaSvFUr7fmceuRAazL9HDxpjHogL2AY3rwhL24YnGwjzzhhuQbuqAWNvmGJBZl6kBPD+X1VMaq/fD2oh4d1U4IJ/P3tV6VtXYP/VD163T2MQMzlgrchpJ1NsAx4zRkAiSCjuk/ziDFZEkGMJhro7897kXZiux2Daud/SxmzoYdQNdd6Vu9txowyHx7813FfabPI0DG5KAHxE5Ry9+B2fbI/jvcKdCxc3JR7y9vRmyW5ZBCqwn5ZAChoaxj7L5F96T7gqj9LItNYVL3KAO5a9kh5Tp4M1juTGAFCTyWUr2Q9/5Dr7kExffJVzZxC0yj89+Yfk4N6KTBhE6YNiGOpQmSOl2tDGQpyH02cUvbAcEnSrV+Mm4K0g9YxgFpJQitinyXFTAFNAm8eW+uI5/nlgmZeAB6T+wBzx/IU7DN6O3mLD0J3bizluA0n1jtQWJzCfEVQlKHJ7XHJlFUMchOrQuvO1TARnMChzx4qsAOhjc9OPxVTagWHoC5rIwCD1PecRc2oUbOIvXnv0smHCQZKSC5nojHFhKlxflQALnYLlUp+ET83pmzMTFBBqCav3naaT9ChaMNrwYCb0wJtOMdO8AV++6OP63gVSlJYUFdfFC6pDiGAhxtWwpojP8bSAI8S5NhoieA6GUsNnMOM6KSOgknrIFZBo7m4gwCNGrAbjNyfgKI8wI1+PtL4/UdGxMcP0LSy6kRPqueVfHKq2YXiw3sZ2iuE+AQcTcXMKT/d5NMqqF4ZcV4LEAdHgWabv/5DoZwhB/GJB3gCSghJC9wYYEMi3CPIfoG+X8ieqFqu4UEx66pJXZEeEkEOAWbK7OtDRUxCg37zBb5C1hMOp0HrwLEoOdNuB95P2gcyl1v1uKfLki7laimBZDBEin6d0kMT94hMirDB17gOOJNVSbHqytFlUikdSOPFmLZgrRP22vjp6ubVQZhSTbpE+gIDHvjnyjiSid+2boY9lEnpEzIhwG1SuyOazAKlRe3O8lrU1eqhVhkji3/JLydBHpJPygUux/XzJv0VgBG0VM7IeisH47RsZQBxWi/uHWmr0NodzMYhyU5lVgStYiNkM3X5KoVGtDO6VGuUfN+aZwT7ZopesaIWS+7YMIWQHJ/VnXmA7Njqu3de8ZPEC+R7yuSeD75DQ2i6Epvb5pRQf+pmZ6K0sr9HOe2vZpqIdm+b1QU7iOG8MtGIomhiAb7Zf9FeUc6hXVxICk12mei9qoSdrWtYs4hWkDdd70dDQJdqJ4ELKx38RfAkzNGrP6Txv+6X0Y5dk5gbiaKxLUmo2FPYmv0TIUnEIkkMVQPmPe7jKAd7btlf4cvArLpU65+6LA4jufWudMICqHiyB1a4EjVHAuVtMKgyufZBtXNWx76ynsFJwKAos/8Llr/92um3R7QUuH5K1iBlHsd+ainEIFEKvOdJhq5EQIN8H3aeid2L8xsKEUNZyDI1IabSIZN7il3AshRuZ7n31mKv2zi5wttMT8DCh1qwvpVpMekkF4PtyLwf7aE5tuUUOMowUbiMLA3imi7fQe1yPFRPhvXfIjOsxZzktRujGOHMxT/XwfpIlkSizyPIRDkNekIrF9Lhl5GPBY9Ha1djUrs4M9olre7IljQtI0yMMhbCEjG18dVn2vVOm9MuYhhl9D0CakmT0xhbTlcJ03QsAOtSVDZy3xcV00g+H/3ifS5pV/x70Bj/p7F0jagu9pz9hA33tOnQABXvRfqK6ZcCgdBCnAHUuXnKZxZz69abtviPSvM2KXML3tO2yNvgZGAJcn9TtkADTU5GJV0cByrV6KEaNZIJqf1kxHsDkYGVfsbe1knTOMgOfby8IXLuA4mpGf/5ayrJAHj3nms8G6Bqim3Gif04G7yvEumuEKE4FY+XKvbLvQTJPE1KJ5XUT/Ec/kDiLAz/7PjtF+QzZLOdTpZLiVm2F+4gAlEK5NLwutEfSJEzPXbNid7FlNLzPPANlEuOq9xYaSyzEVjJStGTR6ZSjhasPQizCR14S1mAgnpUOGf9KkCIQqeDMl6YouvedyMCiR36zGmLQZv1E9gYA7l1g/A6hnR/rkC4Q4TZNjgzCgnU2ipRDxhpM2WMujePCh+A2jFepiRodccsygNVNfp9jnCsQQclAGoUIw9wxAffZjNG96z7bjhv/UuMSTdmwWCgKCQNhEBWHAJyQcUp3mbIHosXeHXbNOqTOlCgh3+jD0v2adnQ40UQcBEwoSagwTcrdviZ0cFBMqID4dO6e6VyButcIyC42NXOzsGyeWXIC79Nwahfp8dAyh5h2VIV3+fdSOFkBTptJ5vld5RrOzIzPWrBgLVDYUtJPIbbuG1wLwYeTJMOX5y30r9eirPdGUMn9JsFE18IuV8dGgAwS4USZ6tszWTPVciEf5swXwaPAWvcWBGjEGdWxmH418Tkrni84LLCy5bedkVOhznNm65wY/bRCeFDrb4oR4Rl4h/cFOSoaJDEHuPZlvUI8YctogSaiAPHKKJb0vWuckAzqdAfrPc419qKEDGWoz5yn5w4uxw2hmqwlZXrl6dtf7sJQNaEVAwQTYC6215jfczQb6INffpF/ex55sg5x2ABs+RMLgNQiuBV5RyPZnhCcCfmCqorgpvCAccIDZ+DNX/1kQ4N9mre8OjrMtQzcSz8gLULFRmkGUt2zs6qhH6Xb+9VwE82If2oS2qNYY5wt3HPfNZnEVCeBMgsLy5DYEsff3v3nh62+uFXXFZ6huBj/eJj50zAZNSdIBEA5paTE5hapwRlgtBL7rxwqOvCRHfWuITrp9MbrY/hixQY9G9XEKxI4SSJ2Ch0de1diOEnd1ufjqUgbZ9Ou5JygHx8PC71ndH5CBL7YlJG9u3T2zYpmLc5wXaUpOYBDm9zxm+PvWrD3vby+fUmoCetI0WoUttLqD9nGiaxmTAx8PikMzRNUmVjDY4Npi736hSawz5rAfPLWjlL4B+CkAbhhoXXA8OGxmvjf1rLdxls+lyNLoh64QG2N0xLFggAYGnX5mHhjXTXaISL0Pzwg7I+Hdc6CulC7xyED36aZZaulztz+tLgbK3C0aQGWQnb5bhYBxhf/xLGzEsY6Y2ycVo9g4EkYw/16ldLuN9ga1qm0GILku9AeJK4yBP8BpMBj+DCSOClNoHntuHYz31tkZ7oxxOnAnfcAYdI3+pHQ2N9sOawLvZy5eGmZ0XG8nM0989kTwNHoUNvaSyPu+L1It7W7Q/u6uorwAsj2h1g1ijf02DtjjJt3J1sB7RYxwk3+TdVdxFvrPBoZDf2wftLFhHOe4ENggf9ryH8FlNhY+yKtxkpdCJIqVP0MH7QNx/jo4YEUKINZCywOToTmPk+FnUCxzHeKxOwuXmbNuU1HpIRuMkOKxwWNmu24IgQsh+swW0/cH00dak8+uLiBevmdJaNkXVXRY0gmhAJWJsxXtqK+ZAmxYlLrpVBgTAVuSh5AEbSMUnXCRPE78szs9DtuJnWMbAL+HMeKTZUkFZWDcChLmMaNflWmbZASBRofjRC/QQHcYHxWGJJc9+wk4pHSz+ZkkfRA4H8M4FvFoME3CKoHezja86/4nbH7JB06e7prU7aPIuckYVwe3dt0OVh/HBhKgW4fUpl9MKhGPSrSbdWkuXDDLMG+beIayyeFTB6DhKsHKQXpyMmhkYfJUCQqYK/eZIW2U1h/s9unqCav3naXBLyKwEkLuu9WnVv2XRMwebcPqUzMqgF5tnnjX0a4hKSrKMypiE0exc9et01ZOxnfE2uO8RZnzphqinC+OxAnmQa0jcw5TauDVpafC69oAnQTlSu43LpmTSseFziUxDxQYIr7leaKG+ism+AQLfGD9bx3Ij8w9iKEsDWYOfD400SqsRy6hp7EiJj2o+wRBsGfmC2EU+hs/4JEa6KT8Vqtrwu2BNtLIBgVzod92MFx+6GHzoAqCH+qM0bMP7zEThiyLMQpyAWh1gUFfct63pwI075+KW/htMvmZQ5Xk18rtHxDNYhX9iN++nglLH6YeF4mjcQVK94SIaLU1YXCTyrfeAm6jopgkbzjGuFgMnBInqNwZMA50xYklZY1LKHFyObRrsUJIZExifWkWzqxRFY8Zdea+fCz3RulKkk1OCM3vTIRwq+dLnkbfCtoNlRWSZ5WCidNE63THLCzFPogInQSe2J+axW09J2vPwDHoDSTqo53iV2cD5wK4hsTwBjD0xzyMCkM6hgq9RmxHnrSb8C9fnUnFgALkS2+6HL6RLjjtztvOj3V5v21E+omYjCXViWJYlGQ4Btuhy4ZnQ54S4M+tcX5SkcQJmWl+XG+btgAC8ALOPEaOxZDrUX2+ErNuL074UXBD4LkBLJgxhfHKDqegdM5xM29VhOJBX2I6MAwT+ecQM/16ag/3wDkWHoKewb/C7NfimNHLwakvvEtbjI9iLNXci2rwwxE+rQhLXuwyK36I5OHguCX+p8DLL1Gs1PzWs8n6w8QEfqOdC7H9SirCCbQOIzfvX5H+E1wyckxEFfDSivOXfC1G3J0S9i42WGyJDcp2IKNff3zCly35TdPn0NxZqJB3sAvBB5Ma3lDHV7PquUJbD441pCzNJzPzmuddztgnL8Ns0tDgFeCENgsDHeiDaxMadtPrBILLiKIqQNCLv9wTaoTwY+rsKLcF/U6ieyQqSzs4HOsc//ycRq/Le5zGonY6Wy//8J2NWet7XTP3Oc5dMe/r0YyB/Fq/9s8rmzK0wVkO9kpSTcfQhsysi8xEdWhGLH2br7X7RG1XJH10OzMRs0PJd4gnK3Hmb7SbZvTkFAmiq7/LzJeBSJwfYZOWhgFGurK+/QoudDhQch4hAgvQLDBZBgL0FFsb11NwEwAxpqbSSMyrgMI+/hSLlsPnCAfi1l2r3XREIgq608yXaMd4GdxdVJoSsjcGcUbEIus/DGuj66TJID4YaVQGIBfwJiSw5+HJaKoq+CJYY+yWo/nyFLw93mS2juIUi0RFFb8IRVHUdc2RAmgXGbX5KVGenvuPsqmkyUIptckDhPqLswAGlDhLzUVzBqzuTk9Stg+ugC+L35jYM4QuVYlLHsoPe6GkhRrEoay8lJhQ8ctZKNcUWhkzcyTBY2oDHa9Mro2e52dfK0jbip8Vtu/xpcTJbEgO/9VXQjtf3lF6yS1m4M10KMgsjg4qngxZo83Kegm9W0jvOuJZ46i+g+ux/lRygAcSa/htBLfsrovipFwksgxuasYwd6Q8oe9756Swc1rmIv68nlEb/EFJpikQH7pMhrb6jLCWs2qEY4nTSbXN3IImk2Az9YuDEl8l2d9KlZqlMbLEBZjrmpBLyBaP60Ut0O3GTlWehdHt0LRsQeA+8L7+SXK6g9lb/YzB8dtSz+JtX4VbygCNwHWTdrk4+SvUTuEpA7u6PxzTet8qDU3USyqHbWgmxiYmwHNFxrzKY6NnsgUAqlhXaIe7YTwvcz3eH+qSu8IPFvrvIZBFSasMHH2iA3aaKWZVG3kUCfkEn/Mp3pNI4Ov78faiIhuRLOoNym5LprT5w3mIuKCtJ8l42cMpvllRKyVy+HYeBsXJYo6lekzhw4YmFaimnE/wUTdGrlUD2jrf+4ISz24lS1OLdD9G4Xb1Z7yp2szw8Hflefnevbuo01ibdiXEQnCSfdFLyZHCddzxQNnefUGzLWpHiMpZC/Eekw01amJK72l2do5ocjGub0h4F0DTqsGleZjSS/LbxhZPmZSghAEg7PrI9DLiobdX9w91IUXh6YnvCMS+VBTNaPOUSnvyxgpIEBUJ7hJfEGE80LcciUh9QUbjk5gFhtvQmqI71SXaP7NxKSdCVUUDF4mIPX0q6FDbgyd5y9j1NDwJNyhgbp0cMpnNfKWqwl2+IQ6GGXX5hdhfdxdm+bDla2+O+SJYYzlF1QbAIbzJRGWdXxrGW68/4JVvY76U9GmYD8VXeBspM81447hNpMg52MZEO20CLN1YCcgEI5l7g8Q6xxyy/85vakyY0VN0YT1RsPNmGrTfJKI2Hec+c5c9Enk54+8MBkzGnaxeV/e9h/XA0xGlQ6D4WaaDLJb4lfVOkjQcgUjOYC8OzMR7GrAdq2QQjuD1mESc+9qxbQLYEoqs/PnR4zjNeJ+6dRBUUqAKnUzSjb4XEuwbbD3HkPTEEB6vhzaGP8JYksPA+54/HQEacyIifx9ogQPg1gsKxxwkjC7x/33qfeKFobTSCPIzezPHcAxyHbSuIl5DCjqc2Rh305r8Fttitxr//yMwzKIDcwLduY2RvSr8Ibar9lWq2iE6IlVgUMIRPAAv5WqZA5E4PPkPnN6QzOZNkxTPxM88/jBeiroA7mXoa1AdNiRTfn4O+IKcg7Qd3TkUJWe3o4Vwj/zjIjHi0p5BLGn8hW08D2E58iUTOjeWmDcOtU/cqfWq1a93mpgFlD/agfRplCgkjMuCPV3VDVbuEskXmSwMUiXvdnfesTSz4jiot1W1Dez7PqjEr2D3RxOTmdeIfvZxuBPKDD3z3odz6uYHjYvCGgiGIS8eeStxFh5taNljND2rkodkmiy9VzQJDvTPROVFOtYvSiD4JkmjLifXL5NpjWA3++WQtBsY7rGfRKB5G9LJl5FOxthdjV/CMdGstwqphYKNZPpV79J1ENCQOajbKVzR9wY4IdoWsNSzsE7L4PLPNcq+0bh7wryI2vzUDBCLeBYwEC74V7b7Du+oGhpvibvojpm9P0MQxkvfqN4YkofrCRbWyEqsC3KD7MV548HxivLASST4HZnwbArwVhH8eA7tbknHQWV5tecSx8GHBK55ad1frr5Pgv7PYuA1QATa+2rXqkQm4HOx8rSQhWdKcA+v8PQ7fZ22wqywoZV0e/XCCQoOxeU5QFZTu80a4WAgip8VUtBZxmPmSCZhqBm4g1Rvy7XlT11YTw8HLwysy8NWa4dZ8u1U8GJ8sHwBXeZfbLU4/nuNz8P4AOR5C7GsYa1vJCCkNS38AKUKng59uZ4VUfwlQsIJdjHVtNPhgnLqePxHR3pQyeBiavTTNCv8Z70XNc7p/fRm7nfZzrPJMicCifhK415f4ZWZmaJqh4DtJfvT04guG82c8BqrpnejaX9Op//fZs6VqzLI7iqui1CbuFK5XpBJefhkpUpOxFHo/GOGNK7zVCYVO6hD8CVWtZTiiTuFHhWDIQuS58URfjgmOQ5JC0YlQwKcfxBu+wrRsY1qamSxqI9j6Hj6wghZNuYESXv2TWSkvt9Gc8lJuRn62gfp79kapzCUTg1dvKH9biEYBRGp4XSwAgQ23xeG2koOcEfMXIy3ZDS0iwVWmsYe8QPOafjAHEpf/Sh3SY/cMEayCGoVTE+ExewqLYx4mM7nNMQgJX0d8A3Fb3l1Qbl5Zl/GJ16Zd2XDGgGAAn3F27HFhksADO9hgd2bI/fGdFVw/lBeAqnibgDZqD4sTbc5ufzPRklFbciR7Zv3+HfAS3wWqM3BMCiLfAzQDqqcyIk2WtURdO0GFi3BPQToOr0cXcgfWt4opuRP04ER+S2t35hW/YWaIZcy83m7GZuOHbn0DoC5Yo7DzmO408n/8zTHqQ+M4ZL4YDccPsT5/5yZabi9Mjb4rIZJ3lbSCO99B6RyL7oLP0EoSA3eRRFauLE7nb1k+p/Pk1Jlv16uG8xKAAoY/6GdvevOU9wdzlOpNIFEi3RAfUBSR1+l4TK7TMfDMeGOoFeEbcRKpFX3xC+eyGwIUuohCCjafStSs2y9g+dWDFS7PBTPgfaUybRFNJedynPk1Qsd1zAKAnUAvZ7G04I3pgK6/f9bkby1PCPhdOfnx7PJE06kRfu+JxZsu4rEHpRg17Gc3nxpwNRwv4cQj9XstF89cBWcB6ChRvBeXseDNsZK+uxxqbiOfauwIOf8MBFV62lPYKrC+SymNtJ1IsQ6uJEHTpfuloYB6+uPnLsh3gPp6gPprPz/sBNXvhFK4cwoJrXc0lC+aPQ74kSICksnJi7aqSgvYBOpSAI2hXDwdEI8srJhQ7yCJIiwLcd5V/+VlKA3wjuyJI1hBB3a/qPgskdGBikEZtGuJzgFKa95k1OsyNe9K96v6hbqxqg+W1euOKZhf6YSG0/uAOJi673r1sOMx5dftmpHsWHxU1eFZrbM+AAr01pdNpTXV3qNPbE9l1dbbrVi9mg+4PFnB0XjP35a63qBmgABudxW+Y6J9gpLfyjdBHNwCwt+3i3xRklrZ/yGS9CHJzvVqZMe6mOplKWomWlRb4OJndW16hctcvyRuuWSZ5hvYlFyEDJ8R+LJOQF5zsML80QHZNiFFPK9ggLTGWafTR9nCfYlRuf001q3HQvhuXVM6BuLCakUaULoPmUNri2m77Q+UeHjJKeDOwHLEvyIU3OVY+l/0/uAgZutmSZ4XqoPWZecieUm0xk2c5qV9+WU+yvsJ3ib7oQyp6sG55VzpRG53XnpjiRU/gH8lMU7EC6ZXac9R7buvj/yj6kwdFTTrYk3fUrR3Yc6+WvWmLk0zxqjYr5CbHisY1DDCh64uhcbxOD6XzRT81pNOuFikoQBwZuCaKM8CdCKQUwcNjLaHSRJB0p7/H+xd5eYJAhdTJUyLNyY6ok05tk7bw8XhmhSRu8p8LSM0SWt9JIN0yry4KE/38aT3DfZ5itNxYjhdCdE8kyAzBLMc5TAxnvR0wx4fihgcjrJFGeR+MZBG+uB4V45o4pRM2xGLxnaOkv1KtKzN6gMBHQumatYafj666mUZXJSQwKGL1jDgMZiBHPLKtWrq01KgdZiJQJb//09qC3DEwKPEwI9Gw34u8Ypq9lVVwXLtP9SmaLUNzLW4TMiS1tvornmhs+E2zOhhW8+qzy6D/fl+WyC+1yRkFpAUKUWX7/xqO016n6vulW32Z5ny161qZ2Sf2Zhgy6JZNjioqBOFIyQ1nDqdsXNhbwlUc9SZ0H6EpAla0D5ml6/dbqNZWaFBgevvKa5tMqXE2NZp1l8jig1q9l8IC81qPbDvnMfoI3SxhSMFfxZtJEmAKDafD66Fg3vZ+EvRnVk6XN7vJgyto6rsac6kFKIJ8SxgWAjXfxeB3aQ3Fx8Ai7jo9NzGf4jsN9I8ep9/lq50yS+rUkBwo4OtvhtYIho8TDflJRaJzQ/LxoRYP03hBC6l8sqfjJwMwNqB+Jk6vdHeLKvZbV9RCGvweO/icCLyLygCUhkqUVygVr6CLOyRBDp/nD37phDk43WUmvhSS3fENL/DTAVp83VdruwwSw8wT8mjvDe2vAuP/hF7k/Rw94cbul6dvkcVffifaDh6wLvdgpp1xvaxvz7CqpdU0Yr/w6gUKFufK/eUt23ZEo9346rTKiEKg7MwSXv90Ks+/hs0QUdhlRyEN8tkb+b1OT5tyRxh0mXFABS8GjUTmSYe3SO1UzZGm3a7SuzDh3mD+Wi8l3n3lorCc20ti48YWX4X9z1Q9257hk+56Qou6cmPX2sOgVbvz48iEqM9NG15JMuBM9iaTtxG7C+CzKk1QV8oHCAwgqWgAGkJkYz7Ohbd+tnmPEVauSC+YQrpo0ismTsDp7e4FBsx4f2/rbVHJDaLyJGkFq04cy0qnsRXf8tKS9mSwpZSJqGfXDBXk9f2W1/dH071up7cmhliC/XMT1kHkkJ3CZq+yBHOpyOSjD4gPswvhdDzF2vkssxxYnglJRPaG1rGbs1fbngDFttDmcZwcTsxw4cMy6j6J9PzL4aL3rl5PhXKfyRZT9lBcwcjSys4G2tzE3QzcXocdzpGdR0AV8YeNEIZ0HiXu4BTFPVgH4neLNmXAYsbluhuJKMchcwgB8ANgs3/lu1UkoQU3fJjz3yn2XIX7QYbjjyYBZAWHUs00FW1rcxis+yma40TaQ+Uz70PD13OSayKY9inHTRd6ZhbkPzpp9iGM3Srim4DH1FEQMiSow51xz3zWZvzpEonYsJe2P/VyVNmSkEPMnS+Ytwu3rt7V3r27qNNbMVmDiyAZgry9zFnKKmwCChUd7nbv85/sYcm7zU1Y2Ahir9SVpjDAxuG8jXPZqA5DZx6TeGb1CEckDOr64OTrSzjQb86qNfioTi8ZBgDBb0vOfwNvUOJ1tfWjR1oLouzwKHtGJrGQGKAH6c+a9ValsMdUKDr9BEQXTRf0EYhwpMsUHTeUwtb+LbttkmImBWZHsVABZDbXPIfPuQj0jgPfizoUv20R+WCpUW1kC0scApXiLQbwUwGtovdM5rjtjVdniP+CB80WQ1Pi+ocPSSyiuapby8F9LGTRik3Sei3JIARldWyaQGNbeo3uaZYmN5KVCOVL0+3HSotqhhYdvnrkO1RlNknRHFcC+ms+RUKArb6kV+qcKCwxIr77vdbD+WzIIJhjGlrYfp+nCilvVkDtC6gMIQN3yp30Be+g0IdPwEXzpwWkXrRwFtcUkuvwoN3dql6Z2pnbKCQN07iMsY/baHU1c12qtDUlW872kpzzqzZ2w2GVWC4NnCYur7ZTmYv8wzWNjf+vWWLR5gp+UKJW5ipFZRgY4skWk6v6py9LO/OKwUv2hZJd71tMtm44lQemc9FF+Jppn4BJegP5PgAulhY+JMMikrOtTMy4F7+2TyU9OzCe+vl8k0s+j7dw7VEExxHnK1A1zGR5fR+pgGrLKvXmLtAdfatvQUQN2fddX9aGBRIblH4uFaQybWZLDrWNR3zZoJMcj5WK8ERNNfy8JPoLcZMDMN4TgnzMVpgwMPaYfxsVlju+H8/aZ6p73vfgvkYPVSsVu4+i5w7HTkSNdoXGeC3yJ7zrcPFvH1s2sVn+FOj9P/MKt5yVHZvTvomSJqHHmKo271nQ+j1E4QZgnokaX+Qanko4FsYIO/UhnW1ZP5Q7ZOoTJC+i5u5FFtJgqMTHf6H67OJr2u1/XbqlPNsHmmiGgZ4j2ZKftaxVGjKsKqAI2MZdvO2WrqIpDX7/fK2bCu/rEvnYVB/8G/Y6lxI0tEnxO+f8Oohnb565GsY2gLixqUP6P4kW1puAgpLfUDrcWKyV/ILiK6Z6qp5fyxCpprDi1q58MNwmNtUl+VFI+tp2L/UtiGwOfBSOj8jg4TvROwOLqGOaJoLoY4ub95ZAF1cX13UAfoBBFfJOjyGwWFh9Eo33Az3tuLjN2sYOYpWGPhv1z+IeHa039aCsiGRdIa/TfqUTlRe/twczyZY+Thdr3zPs0194F0XAeCJSVbahSs2eLgLO8tkykiLfUVsGohGtie4tjC/3U4+4PfV+ti2HfRCF4HA/KBN6x2w34ws0mviddBh2qcyPUPPv6xUsiW3soutGLLVlCCjXK++ni6Jz2H0LqdBKaosOBv3V8Rzhq3zD4cq4q/Jyunr0jSxZXeKpqAUBi4vORYrcNmfU8xJS6jFBhXimEz1k2ddMG7eJkyRa9Aexz35R/fvGWk3MDLWjowwmBmIpL81TyX1Qa4LpDb9WRanqN941RQfTbnU7VhGaRc2/LvzbWCaT+DQg2/OPW0uReD3ycmTK8R8duYpUk3jPAkbOTp3VitvTTFiNxLLhnKMzpqEHQys326B0FDzP5+skEjpxKEN/Yk/RQFmmnuf/331VOVdKFgaVh1SYvLU/AlWqfzC5em8MAWc9Ilh3Vp2uUmGikTgVfU2UVGhG2ChAiH4eNdqB3l3PhF5FWtF/RaUuKaUq9SCLRDeBNlM8VFGOyrhP6b0gHwYy1gcy4QGyUBYWJ8iffGjeKlNyl+wgpnjGRTznTqLozEjldYC0oQhy4VGgOaOyQP4HCNYa++RSe/1lxDaNABIA9JfeYjDqTZQlPIyp6N/3BHeyvc/GJx4Dyi1NJccAi2SfW8EQTQIngpenjYm3we1CGprxs9WAlJgK5cjiq/7MfPAq/zGKac1h9YLkGxkPuZFNdeWC1ZoCkhy+Za5mKAMMNPZCGnWd88yHkswkC1mj2B1cDAHv7XF6d8NH2XTRTPi5sMzMrwX0Gpn27OGfzQEqJOqe1pelpw/jAwACWTT0rEJRHyQH8hOmjekqP+eUNMDpGSlYplEKdI7MchGBX6ArutzoDcfHkol+zG3y/1Z/A59MiV8QnMc7RZeIgjchR0K6cSG2pk/jhQuiCZiHbabpuAaOqGoqRhZA01fYj3krqEVFiGdO281sQx0AXWP8IeHGba3smYsdQv+QaBS46FPf881GuI4+9R3ygQKIG1ksTktvvPwmHSErQqmDYsEiu02GyGnHFdsmZf1vihlhGCSuJDQrR/rQ96zT4HpyQthU8mP81bYI/+CWq4PvRmEZp40nf2fJTKmlEKLi94Gti2D2dfShEcaKV1C3IUqK5Uafzld4jpLFuiOZvK8tkphmfC+tS2neF+zA0NDFyS30G1r7ge9Gg84UHvVJpfwveaPf0rsdztDeT9gpFDY8zKcSj6brxyBnXF7aOBRFZxxdg2tIhHrCPr+an5KZK+eMvz84D1U+EE4fMMNgxinhnuhoSgE28YbBhtV+rmwZwPmNYsKxXOKz8fC87mMfkUTxV3vC91rwyoy/DFFulQygCrTVKsUc1wwCneLNhQOC3vpHjhF5LvPxG8inPcqwcj2v8/7LRnvhxBhTzxG78JeMb+2kmUwgePfOlEYS4niOPxmzwoPhdVio+sPblQnQV+iheYJvTEepW0cONNeLTChvTU0W4nJ/iFdcePo6GGAEctcEp7H1Mr4q99jvxIYrKZJtX7S70yZp6xzATREfNIBTJLqj7B5T3MrgslxMgqbthzy4mUI+EU+z0Wb994gleux0BRaGQ1Gzgyfl0mvbphDMpxFbLpC50npFNBnVBvuWpsmAEklYQmcNbp8n4hKFhHUUrlrFLxPgXl6QRVpK3lOWFUbiQW36XoD8EIOAtTo5tVjvpjnBAYaZSRgE9M3jWsV7tE/Q3RBUEGJIFZLeN/KsZOtys9Es/tFPMw6URKV2Rfv+0djDWNPdrm0BlCq0GYj/7hkmwda7bZRgHg/BwiSUEkY9vkrkbkGhl5wgkKDeXHa0pCuFbvIpoG2cBmuL61INMWM7xO1gnUi9ktc1yKoI9mQg4hTk/jgLkjE4EfZ438StZxZDnw8gMaBE9fH271eJ7R1JU4IWvJJUR2j3GcTfxDw7WnF7QVuAZEc/nMwNZbT9reWhCItH2KbOHUCLEC9586sOFqQsPaSrb9JHbf/dEaZIOR9AWIBG1I5aD9xwVbhc4QuP1oe2d/fqnB2p7NdZC3Sw5AIu3NUI/uyzqROARzjKBXXgm74WPcR8qR5mNylAdw9a0z2JvBq19LQoYiOI0M/GBhLFN7Y6oO7EmLL45fMQRMVkx8myq1Pz83H79kC5GZWnRcLnzKhMOIYe5wOlIR/MuCfYPgsnE2vQWZnW7yBw3cLwmGuT90TThaNsv5P9jhJzD63yHEzTaJGy9UxVbt6L36sHBMXXsLsGirPOoLZuivmeOQWRzuivpwwXWRSZW1sn1SWQAXse7GYy8isCsa259z+qknC9A7M6Ua2yR4Ib7fRnNj2hSUs1/+cq7tGHEkkLjFa0gsFt/Y4bLpyBY8XaE87jQ8ct6JagSwVPOBLRXJtq7WH/H3PwviVAqZcBRazCw+yHD2iZk6lsMPZ9q10Qgh1TFrvCm7da+Uq9+vQnTdV4BQtS4xpLQ8SpRZ7YTahPspp0KTZFTJFw9wQleiE2DIUyTSluk10NTYdmB4sOXYh1J4AX61MltES9dmPwm/xRN16X61HLbfMonhC6+2Zdi9mJAAhMjLfpSeEQyB6t9269HIEtdQEhK5q3RHNA7rvtYs3q/tgywt+7HY+mw88EMkIpm+umhJ+VRV5VNdJqJzoGyMlvz75e8cFei8TFZe37VkeYIU6CoX7ADZ+zYlc4RiI4ZYNmZO8FwedU6AT5tKH6Yg7CDpi8HbGUvYEZ+cMQJSQyESOIo5KdIo3z0APPam3WC7RQ5N3xvrLZd9h6bb1ro0inK2upS1v/BaSr8h0i5wWPcSO+DjeZ2P0r2Kbzu6+hYCgR5qMArHlwBOwrfyVlUwAE6vWMdibZmqY1joHgjVcPk6mHlJmLgCTyMz/uAqYDSgb+m63RKEIKbboPfBZ9+kmdOaA+PigKTYUKTdA130UrYQ0p5vVYPQBwn48jJcCRGcYfV1r6czW9gR5LvdO/Fj4q5JW8G7HcKnI0ZCjFV9ddR6dlEY18GODBIVPYi0xcUCBzft6OW/E54fXPuGQw9VpvIxfqCPCazJyMuP8x9TLk6fZt2w01nxKTT/qyZN14iuo1l55R9l+2xC95H9VKebPFDMd4t3dup9upFcv8fU91JWG8BgPB1BK8nQwpXmrhVLDdVEmN9arGXK1DkoEXsJt2Ih1qZezRmCHVMhjw9649MjQ6K+E37slUejoIuYA51ac3npnlQuU4F/4fDeQFzCb8NjBtYNCPCP8N3gBhnM2+Pr07BRbRjWhbGIqR2QceGRGAsLtFVKGiE7DCtR4TphDV8ntKNK9uLabucpVXPiDOsPthZ2/ymjXLGX/6uswE/O6u53zF3uSOmhuuTvyv6XRC5FVXen1HgG9ofMDjL3i5r3AazpD0+FGVpVBKbtmSw61lhthG7B378v5xBbTzi1wnkkzvmnwxIhndbB3YFNK9w2rizuWuZjztea6p25XSSJIk9QVS3lrBACh3MqIsd2ImEUpJT/Hi+izPVMY8Y4zNmKUMaWvI/aOxQ5DTQ2wWR7wU1BREpycRCtaWfxbmYtloF8ahrun9hlJn+7WQznwEw57Z9LAa6/oLCXqxGDA770RJyENfZQ45nNQbsK7bgk2L4JRyWnAuHRRHnxSMisSz/ao8Z00aQAc4OefOmPcLpfFwsvdLONefz81B/Tq4pOrtr5CCWdLP3dV7siVRFyAQOv9un0ATta1+QD9J+rfOF3mvyxuIDTpr6Iwv3Ok0oJOYmIHiN/u44d9xze015ViUsBMOXzq4u/Ie3FFU23NZ1pA1NsenJT4ZoS9mFg7IGAT1K/aIfm4rN+C0eXiRSU/PXvDEtQ6oCHtKUDWtc59uoI5zdSQVdT2v7jzeOMPl8Au5VZhizEROHKOZFj4/SK7W+UCOoZFrwQRvCWYP1MRHAkO5LTrLuvbS2AKLTMNuf59d/c6TSgk5iY0rWSLYlXMv1NYTMAfYyH+8NJRsotaF7Zd+1ZlZIH8Xyp3aR+H6/3jDjCJ8hcQy8RXQ0u/X22231RpVo5bgJgYAgPMvOtLJDT3OE7Z3L4puuEU3uZZZP1xfiNPBlQrMAn9MCSQrTSRJ0bXAn22Z/IwBINgCpZLkWW6fTWDeM9VfbFKpGRuqGAbU/tiWPYWZ1NttLK4o1sH5BKHJabhECFdQ/k0iLJI3YKmsaW74i5TawREyLp7TFUmd6kLi+vBzrhYZK1wSjwIGQZzxbnf0HReljjvi386upsXQDG9k7r9kVb1EqEfv8B1f75UbRroaGjzdgxIRBd5aoheGhz5THdrJwsIc/UdxpX9vYKJ924g5m//2R9OCH3dkch8iVAncdCOJz88iqI8pRVa7VQl4TaUo44EP60ctpxzXkCrBYOO3OjovJyEFviVZDA+6Hu0HkUnzR2VeIZn2Af6zCuTakUbJqPHXsbSc3lBaQTN935pA/62D968j6uOYfCn7XK9WGfbn4KfbBpwPPJxy07ZiiD9Wtw5LHQmJS2qgGLtDTraT3oX7pefhQtyHczfT1KFcodpX5GfTtyMNVpUVTI1a3ekYU2doRu1MmhUMeXXo8HNLEIUlhqXworwrrkRIdEGXBYxzbgI3JZ3auAhmNJhuE82W1k7/wfZN64vDOeBAAprXKAinHydgyoYp9rqnoUz/PVhguWhjuBzY7HfNfyXqMdOqcSvOx+QLmPIYcfFy1n/myjoU25NsPZ3NyOA8s/2AY0+9/0RwhhSC3DVNYqokdgw09ZrtULyHGB+5kfdROWOd5DM9DKZc68/aPiPLn6SGkhw/bpQadaL0rkY9cA6CQHiU3NRDPMyQ4EuSAwlKPnu1Sd0eAl/gajLkRPkukxZhCNUjUJcrzHOniN9jS92OeIp4FTnVJW6KTFkcr3U88EH8wAKWzgsjEGQy3IUUAjL0srGTophBTzJpjmEKxfg6sAcfg1Cogl1ejqpnMLQ2LM+/AOeXQfwSLV1Imz+AL4nyMPZfBPLfEXlYkITNp7TtUJz/WUjwquUgZNh9qRVduOC3/YNPYo8HZXIgkgFLRSXRG+7hMwSVyZyFOAJYNDDxcomdlG+Tje05qQQO76DRl54iQUXkBGd6axWte7jkOEKNS1CVsARMiTN9fYPiheXmxA/xvLd5uv6fXPT+1bZENsgvmnDxfy5lQYMDRbLohcbX/urz5pnywqL1Vl6xJjr9Knia9Ngc4Uf/Hj0RmDhaXRUE8zRJbo4QbSk4D7ApB6NQUn5oREvwjH4jp14k1xBROB/SK0zTnlQhvxcw0uNdvyT1TNVln16ypS8kN2HfNiydB9/tEGigU8vEOImZdRmD88cn9SfwcVrJ3YyUmLkRTnKqszFG9wup7xNQ2ee+9L69T7mGrPup+fkU+VlQU0BRiWMM2H4LFvVaGpC8+uKigot+od0W4sQgz11l+pV8OW/40N/mB3mZB4p1GFnKM6MIyuQmX12nNI4P+UMC0UnncCXl5rLdvO8hmKToGH8OSofWzyKvFgxPINT/RF8tcC6i4+goR3JPyUqGonpfAWTPRTeYZVVa3ouiotzcWbrE9/5gcFwrEJWzt+Q0M9qLMQNXRrSKrcOHlD9wQJ5k2I4zc+/SOMXZI7gFj7QOp/z6uukIoNOmfVK87PBgmsQ0qya4aa/2qFzNT+3ozqVQWsPzS+e+C8CKQKX3MukEiKio1mpbRMh2WzdOjtHQIPFY4JrpvzW0/dofE4VYxvt17iVyTdnWwdpxyRV+h+TBB/J9TChjFST3LPV1+7xRem9END6pATC/U8c1m5zNe8tFezwTL0FTU6G4PJm8pZKeRDqhLgfYjVXfvZUT7YjY+ucy/YoBGaZqKVAyN0W52Xh2wjk9alESucH5VgHVoOtPU9vPho13KHVqiJW5IZa3eqfMOLdl0sAUB4iUCSgSeSKB9ltKx9XGaCRLuybHEo5ZRnjsnnc86DxgglJNMQkTD/jX34LWDJww1pDsNCoECrM/21PufXaI4XLu8TAAscBgC86qyj0oIPvNOi0HKuVF7bivq9xXU+Qw1Hj7Dy/aZCLdeCl/Y7FUMrY3+u59Ue+LtQWkVzgbjLtBSXYCSESFd+vOKQDGz6/F3CesxOFw9OxE4EuwW/od+xuoxOi+Ud3n1LKYVayLffsUMdgyW1Ga7p72MCNhikLt6WSnL2s6qsFfcCdwk0yyOLgK7sVgM6jsjUq/4/mXg/Cj93eoJQXTTLvhDRjYaxanYSMGJTnszlWr94mVY/VoQUzmO3AUuwkjK8haruGTlPCJUAXPtXdOOcJvXGTJAZvNQgoXJzA563ngfSJyZbjd3g/J7n/iGk951zDQIzmXv52AabBWx8Udoj2Fc1zcAEy89MGGRm5DXjOe2x4QxIyk5NXximI+dlMnEd95RVfBVUGDb62VhgUQyLXLPEU/2HSj0uhH6eXmgjkEJ+6HJVPlleSYEd2egJs5TLK3SCPmkVrL+IsIis2C3HuZ/2SCCZ+g1R3V+SGekPxD0y3cuzjjGyYMYNojtRRRNYx+tNLA1g6BdB1vxmvUNvPJ2mGdwXLpV6NQfSrfnL+JzUm1LmYcORoJVwmjv2/h/WMqMrt1wq3pjB11IiIn8LSzK+WDAG2/zGuzqbp6fOGJFP/FgMIjmQ06rSHnAlSSD+yoh+tzhFp+6o3WCOOuFseBOd0cRxW0HIHXewsF+F+MtXi6IHHfPspORiNO3bPPpnZszhw4YjO4ufvwmb9fhyGLAhVWwUJdzNOJxBbohJW0ZcptEHBehTX8jFEcVdDBrmxwL9NLDjAFfFJVUmvuYYpL5HfRi+TMKiR5LX/0eFB7YU7HJh5IFgSnZRSlYrpB55hOnqo+BX8nMPGlJY0ixw7mqhvZzP+AoSyW4AFkUwE3nz3sx9ARxYYx3mm8W4fbBEEdvVy4C70tvwsazgPzMqU7B/5cqedvznBBPB92HWW4slE0Wu9wVu4cagc+ReFwboEeKVcUu7CYhuzbogOBEm8zBHHhjofkCptxlM0F9Pfduq8lFduqO0wLcSCUchpgs6uQKXR0tjqx3bCSSYtpqhI8SQ9T6LHzey3pXRgmfsMlHYxMvqqZo+ILiudb/xuk5zb6qAvSF2lb/6TVrug55sd2OqUmgXmDjahIg/bzhZh6C0CPV+qgxVHPp6oRVGLd4WZy1ymI2O7UbAldvFWpjMpXaH9TjnhBPdoJ9wiC0asbk1jUcoRF+3doxCagINqquf5DL3aRpadxeOKPXZgYexB5MqGz0m88HcVnAhAimPCYN5lXPV/Lt+59+BcF9RlJ1SvZsoeb7Gqox4xy7PU60CyC25IY28YQnPGIrp7yhUDrFkPBshpS6LuwPH1JkVgj4nM9x4VbGt9ai1Mk3Rr+MTWmkgnZlggFvJ8VT/sP18gdkpw8PTUb58gqq50KekaxetyTBdbv62lraYdrWSrfRtc+COvN/36azfrgiNmc1REJJPN9jOCgq7Cak9odwpTFAOYiabZRzyAPRtmUrzegWCB6ROkOiJRiUkb1tAHcQ+dZpUJtC3GGL8R9hHahqwShkLJW81ZmfZZtWEmq+Nrp06UQe8fJh75BWWqcvUkbNT43Du8OxSjJbLKD0NfprkDHWAJIC1LDfWWBpwPB0eoHgHr79lQOQXwYEbfrF7zWMPijCPW/hC4A3fVSpU9MLR7lb0N0+dKm708Xux+ORvJCCgneBd6ury1Lu448VeAvJC1g1NMvtORSOywom787EIYhlcH35iD7rt+XpqHVzjz2c5hXd+Tra6ebPL9nDQF5prFBHgPr03CLLMkIuEhcTLcxO90runkX/FvdmTGuoi5O2ng5rYy+i+/u1KVLkQexoKaMw+RQtnOGdenj4yMuibspLFlv+H5+CU5nbD/LqIKCoJPesc7IUH0MnDJ7KHEfQ8QAV+74sk16IGcO3V415TSEkTgsK4jCoVkJgRFdvq80rnBabfhKNAQG01YossxmOYFaGMmGTky6Wrjqe1VqXfWpxCbFhOkZXb3Lt0O3xPYEOMMIQbG9HqKkS6QLEARpujO4sR8gYuLsod+JTURKikh4KrphwRJRQuYibkQ8TLc7/mA0kLUE+wrcL1yvCsbcRKgNU9qx6VcrYU38PwSg74M8OVMgjs4drvKual/9ZZtIM7PLjllRv2nCsTMzYTc4wzIjyqBUG0SH1li2nRBJCWK73o6Qv/9M7LH+o64AtFG5ZjDfhlzOs7IIKYr3A2WNr8DNCke2i8dRjGIHqFLlNV9Srely7esDCG0Ejpy80fzYXMHjlJSSkEl64FFyTZvnAM3xLGTiZxRM2oraTAZK+tznaNsKdVmlWetXlY3uYc0n/73Wh5EZZmyNd54uWDCo/3denvyfgTrGtrLz4ksXRXyFT/KQvBX6MUvmVGp6rrwErxAEe2ylBZgFNIa8EiFmXahGKQ2flnv4wdDnIUNSRHDoHj3karLE2xeTYDM+DVwpuMAYUbU9YP4qooUacsVNPySzTnIawMaJsBKsrGCn/Q49rCO2+nwq/ejrMz5QmYU5gWRLY51khDdEjp7Q0vXAfgRJoFxcv1vTWvyTvohvLg944uwF+100jdIdO733uGuZ359ecHhHcHArxDeEaqcP3XIVyxsymo0wH0+iswXbnkxjPXaxCv7Eb99O+H/VKRWWtHapkZxhl0Jwn+bT4iBDMslogmj5mdG+FqMxzTBtLh9CNg12KcyPHrh9tSDxZfoAhWJRqRMqPDGwMZoV9pKLB8MB11Ch65Ah2sX3h+3LveiIfeE4MX41OXIjljj/UZL6+DPDGkDgbzAl1b0er1y/FLfbGWBzKYf4IZHN8dkA7SXuAsHO8QpH8g1VfyvVPCto/dEUQXxne1rVvNKi61V5SdbIn6cBCdR28dpBrseEMCkYM0J5SU+gydr6AX4d5kQG2Wla14K0pZAKqhifQqaIzcvBWeTV1FSXhSQfUUPRqF7spLzbel+UztjzYgOtqhj82B6yYKzzaigcz0UfuIxbCiUXYhEsaKQO7V/xxGyH4lJNQO5d1igafFXs9StPZdpZpR3v7Lare7/Tr37WihdZvbT2yhZMxE3TCLlmCkK0iz7ti7WSquZrnONQmyBNe8vLSz3XJ7MPuN1sF/itwfs/z4JXz/vuoGQ57zkQsKMtaJE82oOEed8EBcE7ahV2YQNQLHtsm1FMmUSnXvjOfBOyAQ5V7T9ATjgoIxPD+cynhT9Nv973K0eBrx3vHo9S8LtNWOWJk8eV0i8C21GyrP464E8DvQH7TRJ6BZgDjfBl5IQQuNE/pwPBcFcUvlUybFhL+3QEltU+h2B516UPAJEgq6IZ3ZTL4JgCpueTsrJ7dKweEfa4VcC/31EsR5rkkEfkRnRw7yvHrOpR5SCeuZli6XpWFnPmUB5Jcqn3cQ3OxySvwLiNsU+Lwd1u4aCtA5BjRxP2wX8brOxAIjWKBPp1o9djlosae5WrLsBNTq1TewYbdELXJRXNi373woB64Dcn1bAccSOFbzQcg7fagdFUZzkocSRcPALWyzkFYRcoTR7HJXvdJRwAHOAb6CcDW6EQYTxn88BL8ngOjNQMhAYmC1RkkYt4K+hwAGEQLsj4zFgOKsAI38sA4vn1h+N7q+Yx1KrufbngvrqC7TGJW6Mej+J3Dxc4hvXYZULGo41UMUsJSoQz+t40E1YAJoKNZtGcWfhWBoG3259WNT9W5ku3xRk+PKPkP93WyITRNrLG6JXuzxhFReKty+8H1+R5CIchr0hFT7BfSn/Q49raR8pn9HsoBwH9UpSu2GpAuUVPJx/JcQFh3t7PL+aTRCnRREDJ6MCmNmhcaxp8V9x5EkZmoN8J/lnk20VaqP2UDIS8hABSL5jUKBLuJQzfgAU4SHnVi5Y//REQ23ZQgMhGLXlHB/dJvQp3AA9xm1rINPDHffgfANRjQ/xPsu8eni7bzaAGAUqLDVmSIy+VA6zc4Vbo3veY2g8fSz+h9bvEeip6NYYKP4ncPFziG9dhlQuNJxwq5euiBctXxQwhBrkLU2lw6yAFilPf3CM0GizPsyT4khmpW+jSq/p3kcnXYp42+oxZFCqty2JJneTetKSLMuh5+Ps+y5IERTBEmMaPfOrJi1qjBs9SnPuMEkdUfntidZHmG1sFxpU2QeDz1KoOWIER7QaeYv7WoBhgGBTr0RTdxaq4ZL9AWfoUlg7J3m8897PmEJGHv38OoLOyv0I18hWw70v2h97U9MK/4xsqyheJinJMcOygu0mi5Q4nnfAj2S1WRBLzMdkA+QiyRJHJI5vwKoKLN17Vw6vlZ9xS/oChqNLkG4j4ksSc77vh5NsAC9S2BD2yWhym6XtLm8ncRZrrRnUCZ47OzVa/n1YcsTrDlG9ZYogYyeEIh9d8l7EDiJKBIFEJZ9WzNyJSLpMLMX0eJVmc+MH5dimZHva/UseQQENljTb5GBFDif49XmsC0UEdDUTWGdUqWvtJeH5uUti3f/p3LJrd/Gg6tp41T+awIfo784/kY0OCWi48aItxhn3GftFY5YxZCKvoLD3UYA6FDCKSHp2KES1NMzvwvutJBujsi95Qvh8dVagfqM+79Wdkm4uG/gppo4ezJR4hrmV67KDj3U8BdztJnjWL0pUjvSTzZXv2rVQ4U8gTKOMYlruZmDflu6/RLLVdTiYMmjlgQUTRjvs0WCYyBCRgIkgteWpn/LthOzq7J4PMJg9teGDrquU6GEb8l40ByEXVcB2TPUqgN5MmzMqb5HeJsrZCQiIjrsFFg7sil2hSnH1Fpr2korRPUf2TumhEFi4Y6Srr2NvKLLYeAEMQqLhvqZ0MWZQCU9bbnjr1Tbcqe8EHx9xKj39Bq+4eZAKNnX0j6jWEf98GWbsvxYHSVO5TXZja1aftTVdlFH72M9pWEuFZSjyGu0LRQPg4ORuCMAScewLpDokU6GEURp5QAUKsy3EpOA/p1Ao0xtG8L8Iu7HMZs6UfcSb4m5XMYHmh1xlb3xubHUEqac1toUIGgYsd6MW8/Fzf828GA4fBTd4lQFKEA5HvjXbsWjlHOHsBEr4egeDreLNla3CX444LlSGI6DA6tuFDecdXo0qWn+aa/TrLPRbVALoSEO9vQrrikgIxjb4VIwZGepSAvhqeUG4xnYIyHSfAbXPd2RcNSh+7AQUzADbXe3OMvKv8/p9aGulGVPNZMIST9nzy3HM/5pbjyTrqV7wchFlGO83maeNjkb9wMxmXGeQkUTNW1rtMw1HQ2idjs/fr3C4o+AQa6n+0kS4wu7xs/v/+cA8GMVz/n2YW42Xn6mHxbbtxf3h11jBcavoTCuBF6nAHiRhLWrDhzJsle0YsWOfhb11hmXU8e2KXUOgphjpwC0fMIeHm4Qz8iF4loQNEuWw1OeWY4YxLbeHfqR5XpqEMIdc9y88zSEPAAAUdhy8sebqHx8A790SEoTcqNEc1sP9gJZbyeTh0RuWDLmsm/iKLCED4ItnaVlKHEdge7wAD19l/rgDOgqrrfojeOsTPykdahV12J2QRe6Jwrl2mtdDYltOROyoeWao3d4qBwSngZ7sWhG6U3IV5/lqQKmACTXvG6YOr7caT56gUJWLIvxtqRbTJA7Z9I9TE71Kj9lATSrhYJt1640m9nUKtsu3MpL7kxKAgCu9cIR/wcdJ4DTyTq1p/kumt1qWMntnZCeI/nJ1T9G1MkbOgtbo6JJV8oq8588MH1pLWoAANHI94FTYpiPLK7daJ+Vj/u/7OTfBuagxnLrMK+REhyankqcwxJpkb9vUmwMbWZu7wWvMpi9h3WyT3ikB38vC+DP+/AIJlMyZF7HECOkOiRbffnctrh5beZ9cTqIKILQfRBbW4mfEYLuK+fsrVe0M3fOTqfUdlEWFeYCOc82RVe9k8FBFjI6ZO4Jg6Q8xxMtRNETlHw2IYPP1qXlddZDwEqYOcwoo3F53ZJfkBnLRZCWTa+GLAXtpYZk0lcTr5smNJqRxC17kvba103J+SX3LjX6v/reSYa8DrZcWKfF5uzQIgCYT5wkkmML8z4IkxYSMVedqs6nqAMr6mPmOnGICY0QG9cMqLj4+lJ9LqGomwBlRMWN9MSGIua8AUyJZF0sFBbHQtyypmroRYuEPv053F8vd8g8GZGXgc7zlITrxrF2tFPaViCr/AC7hhpuYDVCoksyT4kuUqKxE4IlCsAwnpUePIoeLoynE+4sNqdLq6JZGgLJo11lm9jjB0VR62sMpTFCqKQOmaOh7aGL4wnH1SvOJ45NPSQ2OnUs10atcXqZ49h5oKkbHBN5YsfD4wgziTg7/CwM7rmUcGpz19UzOCi753rkI5UuZCehj9sWOXf+7ov3hS07D9hkSia1jcpHMgu8Stxjt2SRnwv/MfijUeYr3xg0DOmiW6VtVk56KTxs0pzLTXsIs7UMn+CDy92vI/0W0+7LNHuLdFgjXcUnLQgq3SZv2rh5kAo2dfT804YQ6aJPORaTfk42Ks5JIC9iecjf/PwerGRIOczB7nFu5+QrdxklPXMxdVtNY1qGPbbIUNGtxtT7tMVhTZyPyCNf3Pbiy1/qoA0t1iCYTl8kc/jJIIhr61EVm/EPFgA69eXCXet32J65ieJZrDUVq0ftkFkQ75Hj47VgC1EOBKxkW8TS3UE+O+WvYSfkdrU0U3OVHu03gj7jG5GFO91DI1S3o3x11DHY3IOk+dullpKTIz9wVn1yX65kDC0x1WKdLbBXgAH98Dp+Ana8xM8TDbW/p2LqXiiuO+pFbdThoo2ui7ugRHauvK3/perSpSDdCWbIEBwgt69cgsNlYjT6FVqb6LzBxtaJJTe59elzdpGpEGqU/ITYL+Y4B6OQst3qHg1UCckPDsdJCSePQrwKX6LPa/bOOK64JYrWYW4APPUyY9KQ3KYHAIwmGD2/eoszwUjGeSKrvHxvwu+9dIdEhzDwEM7VZqQ7aO6ljxLZg3e3K4YLASlsgiXsta8wnpmpX2lIZfBJmkPICcI8lQDean9r5tAaV9xa/mFBilpuKKoUUsvuJ+6UdLd86JC/ybpQHkD+zjqnkG07LaW0jFA+KnscMbLg2PRH8bEu5E9jdOkuSwk6uSwwIbi80Eq2NfC+iJClbXnFZ1zTTLBRWc9wXAADrMWYUiAjgK37okJERDNGn2cYQBN5ZRuYb7GCDBTEXx6qBLNwmvrHu2S4L0YOAsCNseL88DnDxYgc89aImg8oi0oiW1PdoPSL8RWb0e/YvoPjsEVa7Dg6Go4sb6JR/xThHALd7vhIJsbnEEEVeF/tekB6IUUrvr23tWL5SnTr9bGryG6LYCK1yslCYW3PWfoU+qt8YwH5DqkuFA4CduTMhXpVP6+QGvsuATzMaWlk/xz1y/+GdXjVp5cwTEd5Nb/O9dfCBuoxcbr51KKF1tYfPTtuRUOBYMx4iQF1ACTN6ufcISAqPuZpx+nsECh3aPpLB6FbWM0tTmrPIEH3wZRSREdSRq+XK5JBrT28JipjSorVklEJ9/ikwf3Hls3YwR6yOFwNvi4PGz2TW9tg/WU2lymmdWalkzjo3PHimWrdpmWteMDClzBMRwC/6LeoKtxHr3IFE3OOZzNu1kjPiM54o3M9hodROOpsRKclqqbqo9rTJKI+uyCEznRyehgLwlsrGoM9MB2XhRKVB2JA8l63xkjgN5B4Bm9jAbKEf47bujJLKKJWC6H1YKITwIj9FJ/JYPSLejaJHL+Au/eo1M7n5PTRD0m8sxIkkIzvdgriziKog7G/08iBU26e6OYel2Fq9uPIOVjPHkoMZQNkxonPCNSaOqOjgtrups+6GeH7eOJOXcgXR4CTS7yzvmdy+EZJMIRn4lTRSR1ov0+/AZS84yh9gKrGgfObacYr7P8vngw/pE29uHX5axg9zYsEsYIJeeAZmBU+H7FnjBf7dMspggq+UaucLCj1pWn7efhGHEuJHbxUAhmo10Vix04SJUzy13cxORoGh2oODKJuWu15/k9An9lRJN9Un2vFMgQbJCANDOPol2ydJ9sbAp6UQj9eisoXbDLLSk9jFqEE3oKK8g35ojhEthjhv6wAewX5eaBjMRmJZQVLke9Od1xnp+ioq74KN5TqcyRwUtNT0NbcNtF+kFr6DNrFWj0N3m6z0/+MX13MDaOJ9RBTwmC+Pb52TnhDXz/SympX14DNYQ3zwVNxGafN2cHNLsu6rL/bJCHUaRPv40ivbRT+JpsTtGAfsypkTqr/430abGiQv8k78np3Yi4MVWn740Hn4GnKxKDE8Yx2AcDToQS7J9mH3fIGWDkRF7DgkMErvcwWGBbNtaCzC/egB2IyI5qh/fBLCOc1NTxQnnwaKo1T/VVnr+dMcmwGQ1/9Q63AyZT/3w+hTYuZ8UZK7lQst9lIY/1SH+ug9BXBOaIQa5C1NpdpMjwMsHgelqlC6eAIHjsNuHdaoBVfIS1qmOigMN2S+waPxSuyGaurop751lfXjISWlIps1z5DfGfNm7/dm6dh2/DTxyay1XXevXnHhW9MAvSyonbYpnczfs1qTfOmdfh4kbd4Pep4tZ/yBqm5MSX7dkq3YElBGqowXhNzyRgxPZ8/qNSNeGgitb9mXr7tAOr+cb/pS8LJn9lV7FWbjLjeNv1w8rigIKOV+xsItg4amuWN4oPW1+qQ2l4GWQSBDuyJqEgXJzzWlrq5s5ASgJpzk0XJcwqOQAo7wWwdMf7SM0NVlMCSZ/ogXCCy8eyG35ZHIotGIX+YfgQVJBsgIIlCsLMv4KEETAWevWdxnM0Pm9BkX4LxaPC3YqkMI8G0HHRIS0/S3O6CqLsoBCAan3/KnsfB/mBYlCsj82SHSvJJuGjZgAJ0GJ59AUApcMIBfaGWhxoPAUPS4EUw3YF5LAlbKeOJdZwRFmkUxvnqWTirHUXrFTO8eTE9lHnKX7HxmnfdpXzhH2bN+QZrPDjaYtVwmrY47GHXBrtB6VNTJqQGCyJ1MsblvCvBS32WZ+57cfbRZujcvDZ94jcJZ0C7/Xlwl3reVA97J49/qO9b0x/LPYhI1pa0MQYt2NwrKVZSz549vvR5uI8MUdRmjO+a06XTWJvutvah962MXPv80doSPwqOGKuCJ0meNo64Yt2SeK6otBjaCzAI0zjBNXyVQz30bbJiJIYkHCY+PaiiJsHGgMxHLU3TJGznUm0R7rAj5Hp8PiZkpVFQHRNj4rvWatACT8ACVn7VOrAF+k4WEn+J1RLv9Y1hY9y9dDmwp3XtKVw5+c3ZnvtTeCHtLxFFSltyyXoautxsizI1rQ0cswKS71z/YA2+NwMKNTCDcBQ7teiimU16F1GheMpxlUmgxMbIBp8TUdTxeZhDNKPisSDYhAdhNYFFsQOfGVjOhKzl7lB0OKjxwhiXw0unyNjCHNvn/nNuQG4PWXMCTj4duH9ySh9VApK+zA62W+afneWSlsYSkzjY9MFF0eZjDutw88a+NMN3NOvC4YTSf+wSAYN8X6dcrpqLe2AtqeWN+Kq7F4c9xageJS090CxiESlIbnulfZ5w5gn8bUGCfvk72zd+utH7B24373rg5EHgAMsDVj1TPiLOMFsQIWG4yvPEbHEhDuc7PmEJESY2Exu3eSp/MiUm9YnXAmQzUc74A6sYmSkXdtAuJIYb5HLQ//Aoo1Z82Na9Z1koVd71IwbioANO85zVmX4V8/WpeSchHX/4ecf7bJFK+glj+GcPvEagQHNBRvSjRarxQ4SxXpE9P4msg83ibAOusjqnLz6kP7RtCqL4YjlEZSyGQBh+5us069qADWnzT97EPzvi4PfFoPSGo8TIFywzaCieLgllY3ETB+FacZsx/Df2zjpUulq3ppweAAAhDS6rp06M7D4KKLVQnewzfwQoIDWEeEoRB/xInI4JUSxXxnS9HhdwcUT5XFPU0X3bMVsC8ggyfJpeu0IWcHt+88GR7053XGen6KirvgpTzbzi5+K6FR4bnflVfq0lQcMS4bq5auNulSh+6Tqepc2wzI2ERVxjJCjqBadzUvDrEdUdHdA8tRhClZWN1HXCkHq5Zn7RXIV2dmAE/TvwlJj4SSHSuXgx2PzwAALLBZYUNgymXAP0lfgtn8DUT7iPW9yO3hlL8yuWygOf31wIVmy7GAzajZ8SPD2tB0rcsuhG+YNHZ3NuWZKi7pVTJQaIU4Dif+VRGKo914OupZMh4CVDX01bfMFJnZnrC5jTqr5YoJ1+UoMFUWHiLMEbhKk4W3RtQs3/lVTWAGLf9DNXpP6W6Q7nBZSqeqcjEAI2DneiStnOAG/G2AYGa3TTJyPV4yElpSHX10Xh4kk8DSWxw94FD419sklzHHIl+AMoemeN3dMDcXkBluDGagAADxyII/7nzQsW0xU0/SSZfMOE38EJTEYL1bfSZqatFFQ2RW/l1kWfL6w6j1P4+fzXshoD6XKZD7kA5OO/EDIYuSjs8dBDfYR3l4Z1vvWfoBBkIwUWYwcpawCRwDYWHYT0VCQNoghtUtYBSoreYHi58qSOyTXX4H8yqo3FLuSfwuspzDiM2tKNeFLrSzPUYXbwOryi4CQnMq9zfMCcHqRrJvQXVls5i3POdVN9iILFtIVE5OLahbzoGTXA62qqfDFOncsa3dCJ8vP+v6Knuy+8GIeeww8PhM8xavVpLDbcx8pQ847XImNyS6sSM7tsn125tqoj8e10Zs5BR+PTO1s6lelHMxMwOrAE1BMlBlMBsNmaMdyLH6vg97wizVItWIhxd/ggntvPLCjEXXoXlg1XtP3eMUwJXsWerl34eRwA4j9mHMFpFSwhVTcOZS5v7BMDMlWgd1w7LX9iVnJ1JrxrbuDjt2/hOsUqdw8nq1Aq136FB/90majExaSgIoeQOSxWPtsvKw9utwXgMrrQKfFE3pOMFsQIWYqiJmwdG2B2m5TgkN6a3uQo8cOQUVebSF20mxD4IoNlHyK8uZoEIPQOnI2gguVp+MNFg48VrclhKIegfoWl4NvCAxwad7srbF1DQcoByonvzSaW3sn2jVPdz4FdK2nN+Q4Pvu07l+IZ4GizPsuphje2stuGp0fX8X7RvCN9+uxzr90ABFYBxUgngLyXA1H/25j2aTAoTz+JM9jRWhar/aVPfw6ALF5I6OvN0qyXnX3O0w2Vg/1Jg2zVxDXxQlS0H/HRKmTyzVG8LMzjZqnefqQoUgAAALMzVkJ359r4m9jqmmr+aHxTa3L/KZykHKmp4Dx/qYTt235f3rPu5+6yY98R0UHD+8UcugBHxMqSv8uAXRyNRFbkKPFONai6oG/+cXJjfnYbbph9cUU8E4XI4gz09ivWC/AzLnvi1++pmNcdjgJr/SIlG+Qod0FLQ1dxn6VUNuNmJIj2D1/MBj/JzPb8buVqh8aUOYUku6nDUm+6UvpYdBJcsZ883bYU0LXHOl7FZhyVVPIVYJoxPJCu4OI8/eoOwUzRAMhyqzzxcWxMFaPCQMg7RKt9ULH3RhL1MnwID/xwupCu7J2ht6TBRcjPwVFa4V+Ha+5sUdF7eES+Z/26n1GbjifJSsMrWdQgXKssuU6G+Axhuep9BXZJXs/JJV4AAHPNnZQQI5TyqOb3/2/h2TXF8n1MZUG191nwMvwZ9xxsOR0p8/PbSWDEKZIjuSB2zM4RA6xNOwIMGDtHv4ZILI6oRV6HgGdE6QME6HhjSMbiXe9eskWkjNVNcULVokjjpTzsdXQWU7isHbozKMxOv0J5tGeCTU8FdF4BnroYQeVcY6Casj3HxBpPhV6w7aZ4oCjXr5lsp4bxO2Qtaiqlj/05S4eIXzFmKIvQOJEP61A8IKxDJfEUcK6L6uXvY6eXEAAuaRrzBsJcbOG2ApPUO/TwgIJSAFzAkf6cSMgzRub8qIAJtPvbTrPcXjmMEx14g+AcPI6bY8nDfI5FsNquZ25r/Yt1B19X2uhlzkp24sASAAAdtzPcwDgvEexZPv93pD8g6QlvWsyep5wKIOTSxLyOt5XnmATLFaJhA8iMHrCZXbVayxagBKbD69BezNW3qegLMh51MkNWti6xLCC1uzaM8S7a0oE0DM/EHGAAXQKB0hYursTiE+m1tc0ouDfK0nE2dMGGQQyLgsTN2wTkqu5wUEHdCGXKNgJ7jg+ZM213Na23wwUlSgnRmbsCMeeXISEJt/8TQ+zlzKODo1Qp5BNBcRyJUBSaAmOrz1zEtzAry/zr2rc6d/+jmkpxViwPZ6TbnyTktWQXeJWz2LnpWE1JUQ3TLz4o9xEc82E2wIYJ/t30FX/yjXgo1I14aCK1q+ky97VlM8VW5wLtTS3KMeTsIl+PjyamiNHAIpJr1lTJ6CnE4EoqXgA94/8Fu34oFmdJoFdXcIkJajCaEiiZYuIrxOO7qZGT/HPXL/iZRTXvqo9cNhsTV0gSPZLVZ9cB7JqxAAAAAN5l8M56bFngRnplhyoqiu/FwwAa9Vf0QIcUyuOw6mKeDB2fFxMBNqH0+wmNVVrSjC0owtKJ7SfAUkYnotoZF2CFvaGLg+L35pIGFTapcBAr0e7KlWhT9P4lgiaOqMV0SO1zXRSo/ar0r3q6gXDoT/boPeplKLZLT5SpX3llbHDgGaayCEai/86FrmFu6DNEv5nCNLtLxwLzkjyd6goBqkJkm3FfrQBMwyrX4BIhiVWgwztGoTaYgH71GlwjhOERZVMT2b3VU8z0bUvVu5LbScNwN82WtpXvKESoQR6uvc0E4dwarJJWpSrgjZP8yOjXAt5rtgWLsAjPC7hpkLsNvFU8B8/Bjr6qo0H9cTF25FkFqrVXKWftkUoLbof+/IepwU/Ii48Rtvjatxvtw+jPo9uskq3FyA1/iMfPe5L6kSMfPoVkYJcYYKWaGzGgUhbL682QQC9q4lCZzKlHGRKqBKNdlEAp2CKsu2DNNTpy5GA+cp/cle/GmLvb1ZAO3Tvy34IbDFR4jh5wexSDjJCeACWP48k8evE47un0P07rupYvrbnbwCRf2qSvj1eMhJaT/YmLCSBG61UDgeF8JyiZ0RLrT8zSajbwvHY1e5HPnm+x1Yf7ejn+RX/xEtEJbQ0o873vWS5txnwFoJ+AneEiXgg5oNbHc7clyR4mnM4DTGEgXpdda++RyAq6IWLmegZfoGrHtRudG/CqAcLlpTBBV8ogUDkAE6dXcOa4LKUVDFWNu0DrBX4AAAAAER4b34YnN4yLClewAK08ANw8A7EHgPvC/MQQQEGsqSR12dRkFGl1GHDVdK5S7KVXvujHXc5zYEDmyydADVb8WJbiAkGyOxEULg7OEzgqxiCNApDJhG0qY9r3d7GpmI1iKvg1fsG6zHB4DwPAAAAAAGv4AhbkT4gRhso8JBv3PQf3Xj4w5Y/KdcMbNQlU2AiJj0Rk3x30WCcgeGLdZz08NAytWGssxIsokfUJL7MwOWfde1SyfXPgGcD0S6sevEklWrdflWInRji4PyBuiffwKPwAAAAAAD4NFUap/rHXhxbWPBuuAUDxkfngdVHtCmNNAoNT1ldA61WD3isjaqnGHpKVkf6xwvxiL/esqFzRduQOoz+wT/I7f3wq6042OXqUGeF+Tt2SLUW4tYpSMAAAAAAAAAI4IMAqWjG4+PJRuxDBRih6NDtANa/YCYSFHZ/mXRO0Mt0TYH+KakciIw6/DzXtFrZrrfOsycbW4RYVnES25Xdk0s2VqmmteQIQgLWh0JS8zRUdHTfebgAAAAAAAAIJI2FXGiFNimJTe6pDvpIm5xzOZoAwN25vpAnQLoFKIH6uUDpihIbR/yL0XG4mgLMiBu7oVvdy5yNJQwZO43Oz8/NaYSSDtn2bmY6ha6hmZab2O09YDkHj2agAAAAAADrDxYJtroe/YLv0Bu8iiPxPIlkHEKMrboPSLt6U+koHTuohxXRUArYQLPSZqmPn83dyi5lXbVz5Zfb0tDTUOa4CHwJshLUhmrXLIzfkCJd2DdDfi0z6/Y6IPjpFN7CbEQYuRRDxC+TCuaTaN+q3kHRauElEu2aqyoDvIlfzdUTTPo/IdTuwhs0X19cj0niOPrQF4wXdPx2KEQV2Q4Wspb1nczCODKh5Hx34xKOXvvUAw2livdI5bj5TuNcmUPd+SafpKdOOJv7qB+Z9Y5OG3DbKh52Wl7SxB2HTPCtRoVkB4MN0dE4tsQ6DxAReipxp8Dr6wZox4tfc81spkX/cMzGK/ljy+eoyUY5ikhfaIm0kB4SdxM/TdW2Yyg6Y0VMMxQVcdz7xNSTMl5737lzY0Z/ET08UaP6z53dmfU9NbGa2KdTvY8UTWAN32ncTgefdw+6HRwSLX3pfgnVYqQm3m4KVFb1qHYzRqa5b2BMkNRndg6gcXsv0mhWQVSXYvPoWuCJnbkMH1UMZUyoczxMHUG/UvDzEZ0qAR132n1HDsNkeuCL4oWpd7FEewFza/HVReywzmsTB5KT8YQR+y1juQhcd3aNV0aZsSP7QVYsqa+rJM2sPtBulWtVYC88CCySMO/awR0l2yKQ+1hngU9YON+h1Khuehg3sSGY3GNh2oxorLAre+MJQ/d2zVO6mbbnMWpKvQyN5hCuA7MSLe5v34TGEl2ioRNj+iHnVn0S7MA0IOadKrMHvTOPZ2yD6hASRahG40Pa5X450e5TiEf5Xu8s9zjfRmg4q57zzISyFX0hS7eThnhc/zSgDrZvrwjN5rmVLGIcCShPq/XGdd+sFZlmcVSt8VAfgWcebUpFU6UERJzTROcxYaxQyS+j0lURitT/jSKy8deU8pnUFHomffV5brTdXsrYbRvraSGxt52/+hBou4nXrK9hH/re2BLplxJUA7/TeaqoPaI/LyBg9cUb30Be3ERVLj/8pa3nNdtzUH72L/rwrvFqAunHCM8h6MT7JbbtLt31Mx++btQRrHTOaTegjgxDHjnuxqNB3lARC5eexnX1zs6FBfSh84W4Z5HuFYOTDSK7Bwxd+8wdHErFUP8FvuAyWTY34VvSTW15ZcpN+QWGb91Dc24OeJ3yqLjlOyNn3Oaz2m91V4HpWT5lvTh3XqH5Wx5BGnvidDHkDjRNK6mYtI0JxAWByKcOc0T2QeuAtS4m3hExM/eVED7NXlw8mgbxoPxj63gcVc+a7lniR6P2uxbxFZgnx2vs0R0vPZkWEmzaohwwqWzcrihrYVU9Ino2OVkaPNcn7ATPVOw4994bih4HYrN1B9eNw50DSndFM9h1MJOyJa6/8yPIQ4hkCYo0bSfevjFiIxXlhyJbw8bLFBkjTyKcLwQeUVhe4xrxxFnLla1C3Sm9AhVF1ycAmSZBx+kKvKP7KsKep4WyBXh2VtKywROOWdFK2gcwfRBchTSz7J8IWbzjMXXct9ISaKShUPgGZeUqXK/reRqLtVh1msjo4l1jslAMVLX3ezFwSRZqHfpurbMZQdMZMHHPWSKiePUX1Yx4XCP2IahjSijPw4aExr6GOuQ2gbH8+6NEUGS4WYR7Jts+NyZ8dmBfmMjJg6Dn2jU0QBYPMWwxlCJrEaqBCHmeaYepyF4AcSofHgucnD4PMl2yFLJPSbp14bHVnrd1jEcUWtnZl9JkLW0v7u/0h2WWVZB9B52DzSNol0fRgni/mUGq8hbL6rzzxKIcx+2mKRvdlW2b0Z85TA/oNK2QENbjBe7VuvMJSJevZHuIIh38E8Qd2X7VozSfWJNoMLyQjTwjkYPjqbjdWaSz65YxRM9pMH4tR5d/Pl0LjFo9XwV6Nej6IBrFMzpKrQWvcv4whACpcrSSWYDlJj4M3CXZqPljDcZTAcYi9SSGbmJ1/bABRekR65cG8mpNb2uPUHeM0A4DoFmG+9M0ilq5QVVwBU5GJZX+gp8Quu8eJR0kYPxEwrcgrnmiR/5w4AKpr6skrWgDqr6MSPL0nHtVhxGmmMznoal2STruNgT96RNYnJE1XesnNbOm5plYeXZ0SExVnwLPuHDO2b2YZzNmERytMRF+8zdYwxMPsYU4d/3i9nq/a4sPPzdIK5ayuhStvBuw/Yi4bYB/SME0qH6M+sNth7Pgzol8YXOVAL2g2MBH1b7u+EFMRf0iOBTo8dtcKGwS76uWG1lYmcbfmgQt7zkwFEq4/afpQy6mguXo+Do4lZyfpLsMf59NU5dPD/i0cPrGQtaj8VFIWXwrfDPpkhX7fOjfn+mY2vjL8k0/PdHSim4MrzPGEH8LWD1Cd3JMUIA44GvPlbHkEae+J1fuMfo36S2T4g5/uYDn6bd3RVAMXN/XflYdulShZTdEXoQ+0I7SV6s6IdYNFJUqkkjLo3wULwv2s/paXGUPSfssoyv+E6QKFPCbZASH7qUuVFMTGVBrn+ir1+7drXsl6bD/eeqT0Z5ph6nIjTS7z2A4J1igbFuHBRX76+H91tSS/4eLm8UQtP+uCa1hTmd/yYWNVrOaEEjOGI4oiRVs0ruTwdgJIrM1KoqpY/0GhpjYwocZrrTO0eqUDRx/RZeMs8GjTOUmf0hGSyTrJiXC7IXZFs9fn917tW9UeUFKJ6bZpe9W/Glpvwqa+FHR9WmILFJU3c1vxHcOKrL8rzhjRQMV5cX+DTNTu1mKWhT6HHyumq1uLSus3pny2nQGhBwuNGmNRftGytjERp5UUQ2lsDpYLsdMZJWecN9leuoNUd/a+03ZMGu/abTo2Nf0Na/uXMzRBqXUn1kK23I2i9Zfm4eW1FjNwuAxUb86MoBnXq6pEutDwgJ4Vz64o15jl2dYLIf74Fe5pIRm3bZDUwaJccILxpAeXZRxdPi1ILRvv1ChQGPtyUuNbuGOulr4xN3Dyi4XuMxnnf2fSYlouu0j5e8yvKy2wuNhVFs6CdX0ylwGxZ624ute2I6cYDvNOERG2aQep0+MFb3DGy6H/mxARE7niDxCRr/2Bg2a40UDFeXF/g0zU7tZiloU+hx8rpqtbi0rrN6Z8tp0BoQcLjRpjAndipT3gDiMU5CJ3EqZ4wu+ISpBPD/UsPFgKOWMQ/X49bsDeuvMTkey3pxu6ZMcBbCOR0IZyWzYUH2u2cAzkvz5mwURCDwZDTUBYodngN40mnbhc2vS+d6/N5C70HMn1QlUl0u7dmP4hQFhtWfKnreeX1jxJf8RBLs031NA0cqkFHmyXlF+/sgAvh2FLTQckg5YFM6rEOd59wUbBtRv1ALAvxIAyhZL5AFQaLbR9oG+KQIByqp3rHgbxb5GK1Ubdk93AcsbIZS+GBTpW/Jw6mvoxS4JmZbjA9TR+/nWKAU9FPE7zIyJa7axlwbIo04z9Ts4NU8QnaixKELF2U+N2G98UyNBx7abvqd/vCDySlTtqhNEKLy169MCixxq+lM9nifCWFUaFYX4YZczNK3Va/a1+QHTzxDlQ9aksFvZDjTCw10eZPMcL9xtSkkPLc3n3Ne7Z9CmcXfJgor028ulVLM6Gy+jLYBRG5w9M3SrVzOb1YcbCzoDvLFvUB/Dldmk520PTo4hSIWghBJQ/RVNbrIU0NiXueNQXlukAwuabasxPaC7pD6KWAfTFdQuqlBPllDC01U2x5LDgbu/IsmauAGuYgggIMWdGj90RKSQ/9KpNW8W62jUQJo1ZgGCpbz4giFH0BOakOOfh/w1WR/subGmPYG0bGCxU87hmH5GZh+BE6Mz+wT/I7f2qMmEnqUVgPl8Wt/djVVmQGGkj6qfRXkbM/4gPXlwE5h1PGflxNBgHTxAcB6rmTXIhZmZpyRIwfRB63avy/+m/aZIQclLbMOtHz59ZhRL6DP6SGwf3JzGHZ1XgEtg7a099ldEoY6uSm9eDGUCi+yhK+MOObJ9fIO+cWgrtERPcZEFMJdWUUiDetdQxdtiAn+BHS4KSi4W+SZPQ7bUXkYPO73vZmRCNd/VjOItzQGllYZOIF2FgHJAZma2FIpoMsIVcgMhj8L0IRBCw5lFvtDt1hOQGvk2P4NOhYQUYaiyX3bQ7ulfN1wU4DTuzKnR+4k/JFP2AsCYeonwKJAWTZHYNK2mgSX5UkhE00blCIYXpCIE55TiEpZcYPdlf8fliwwJzwZ71tyB9NbvbxHdUNvfh8rjtLv2Pt+4+nCNGwR4iKbLLkM/n7qtrdsyb+JmOLiU5WQRAhhrmKmw/dDgHg4GSpjWNbs93Jjv6lCOSSS00L36TEtM/L8fpxfHOmh6P7vmMFNH/K7gPoUOJKpyhQtNHtUWqdKS8xF11O/NwCwiiaiCWvbWJK36qF061Ni1ijnxZjblLGs/2Pyj0gsATQKojelipelYQ1PGaQfqj666NY+Ma9t8nMbJwshm47ZZ/8NzB5HrWQ9tWkzmQIw1fxxkJBrN0ZDoLTP+bF5CtDeo9Z2acMQGtQ1JykenaImtr+DIFOaedDc7BYgctzKWnUbVqt7zC3F3ViaabxWJtBFz6xrJd660UtTDZbBUmL1AKAqoI+9BwFrOYJUTQk3Kp13oqUlcgIVcEMUOa04c2n5m4O5+Tgso8aaZ19uaR1S/IT7RxnJHXljqTS2SWsdhAmPc+/KRwOVBsba2YW8hjkZlohZRMnZYpxwbZoMcLuKQLeAVPgZuiR0thr8C5GvAc1Jop2TFGTBDN+qMjQeT7lWoBKO6H2Jm3AhbvfwR5KzB18vuk92JzkAW0ItNRHOWOPIo0c2YN84NHmIClc2A/CdHI2Qmk7R7uh4nOsbATZDQeVCn4pJgMeOByiVmyQyju8cgLT1KWPX5KkJFrlezphkc/3nI7ttGC7XjFk6dLXLSZp8QwvSjtqIpgu5PrvGcyT88O9Rv5xkGIZhtM0c4dgmAsN0k9SZETjh0tfsYutDOOsyszvuBZEfBAAVBXnctSqJMHArCAarVycRIjiTrLLecgpaLo33cRo+yhAsSsma1zR8KiyYywteMUkeBZ92uXhcigTveSQLL5Aa+6sOMAECHm2K1Lh6hIhAh29CauCnmYTLBd08Wjl+LFs9IEwRQXcfOEcWfwNaomWhcqXP+TkhB7wTEqoLYWuu1iWlogXYe/Kiz3aMnGK3N+RGAOHB7XVYnSLFCGXK+4XTQWYbn43voukUEORt8dbyG/zpDsgrAAL49GJObBXx08TYvraMc0GJfx1p1OqLwG+iZrKnPrLwrjXwAiXJghx/ezaN7vrxkexiMppXCvuUU9qK+YIBlwwFAYIKhGA5jStiEhiTN9cTgs41XEF0rNuPGWpDT4u90+p30tfxG9mvKsNMhfwCp/JgttP7YomjAMJmF4K3SGDiEKEeKpd90uze78apYXEsL7M8k2kn0PWENtu864MiRc9gQB26rkRZApieCEcBIUBnLl2PNJqhz3vA9GDjU1snR4BinmQxiZMzQ+q9awXwQMp58h/hWY6jp5snFu731ARj9Hxvhzbn7kcnt/jK7w27b8SxstdWvrrk3nDoj6h1Qaiyryyp1MfTTa4ck/XChgO4B9mYG0RNbUUk5v2I85vOyUD685paXx3J5LsWmOy3+oNJEXWloFZopiwZziQuKw1JUI3Ewusn+eGVTskphvbUhEMd7N9wtfM7M5i+jkifrgoryp7dmYokjRE/UUg1rq9Puj2aiuDaBA5IN9qnBwJ3ElcXmlfm7d39JjWyVDUAhv8EqfXddl0+EU1InUqq1Zm5DeyZJ2n9eCMXsQLOZK+I04zpyR01xHHuDqv9szYzQebCd9rAEhWAkQBKtxTBy11lVcwVH260pOACCXQOy8Z4azWmg2C0+oqqcxzHrcQ4FpzgaSKZXk0HYOjU2ktCB7MUnMv2fEs7HP0g3uL1YsvA2FKQ02xh7sJ0L9OtnEQ1cMAZY28AMoV7hYkvYZxaNwNIW6JW5vMGynqck3dDNLzi4JS46E6NECTHJAACTTCjC7nbY3MCF9Thn4gilWgTKeRUu1BEhYrSTSNd3Uqc0EIPWxPYSyXiFuYm96opapYQrzRMDIdr8xv66qMfKPxOQAFenZksEL5I3ZgDz7YnwBjhiGU8qjhBRVuRYxkMZBYu4E7mRvSBcYQ3UuATXW7hqNLbuBCW2ESnSx1BohPhdSH2SuwU1WNvYi8NRRf9qmHhkXg6d74RHj3vljVd/6PeJP2bnHMCbLup9B61hdcBD1DKayyZ3FAzv0vTFuuxK9AZr/S7Tmj5afVV8RQ3KR6ZDOuBgDy5WxIDKSYi/YHqiX0wIHrTh53qR9Ho4HCZmbfmcdi5F4INXUuoB9tJzuLaOVR8DUiECqdH7wMExyXeQU8vqsBzaHS9mKBQDcZ6VRfvitFc3/ZZlBixJLHoIIb7Bh2ECrwB3/PTK+S7cQ6zGYbTEl1sTE0IF+LvxZeFvJshj7UYFjW3v4KdkkJ4KDTU9G/SiBNn+B/A2UZ62qpb9olmYmsg1RW+M/4mCfkffvF4dBx9fC0DC8IQR1AFmdoQ5aqNUGi9EBOWN+JnTG/9yKluiXWCqxIMyCfriP7X0Ho7aBNd12VgoEWI3DFdOxq92V3aoiUHdOwcMcmDSE/INEO6tZ/1KCaRe5+R6IVBk3Zj1ONwOebypagHdZMAKATtnFlwu3OgPk/9PGqaZ1A4D5pa0jIoIcjb45AWTVKhQM0zXkeV37VVEiczRl70cwjwlSGBjmsiKFXMe6qnfmLO8nCfXDULLVhOfxebwdz1aEgksVgF71194xc92G3GlklFs4lTnBGqoqLQVBOojolT042kG+nF3zwffsrNyj5dkLElf70gUn5macpPQEjtKU5mTT3i/wQ4woL17Wo0L5qss81Rl3O2/G1eCp/X3aGmsyovYNd4K8kgy/Sw1YWlfHDNXOhLLu8Dpb4/gicZFIe3MQitP1C+Vj0wCkvYqY5zu6/stFxgilzxU/BGm3qHLUT0Ii1R9LdVJ99e3ve1wJyyu2ua2UMpGjQxFKV2d7Ql7DyOXar3GGFcGLDdz+o9x+5GwfPS/LZfgsvoggxZuPNQlBGqprsnuzHulfxwzi3vVOd0F7OK60BeruaTprpbstkC47AOaJillPjQI15nuW0CFyX5SaEwbCgK8SvI4GI+d5bSPY9pKprUiKVJbNu2SDa60M6bYzunv5sDsdTC0Cwv+or4ITc3ZdoWlbzmG5nhHc2mNWUdot9YyPonN3KwR/9XvyINKnBhDQdbiEoYgN+cgD8j8D98vxbnJpaq587tJOKVXdVyC+ZMUt1vqJ0GPppTHefdydzt2EWlhPAfNl5zcbTyre49rR+gKA3LgcERCfA09Vc5R5K2Qv579qtsozPIjaUgUthOGHlmTUQPG9lRTqod8KwnMIPf4hKvNs+Npn38+slk81T5Gz8Hts9mh+lSQNQvFDcdI+LBwGciNv+y4p36JegXH02EYUwLTZOKsXuzEMq2MHOOcZLEJBjQp3NH+iSIYdqcES7V3j1Gzl/7RgE6Crqka8lgronZh3u4VsBAEqThQZ854yVyTAsadGoOYjnREuCulslZjgWBT+fYalPEKOerJuMwjsHkEM5r0zv8wKs/24wkbvK294T5obmF0wqz+CBOHpgphNNB44KbQcVvdkn6tZqYbVL16ydIYQ2ScsryhocL4ybEUQieLS4+IDmWnfftn/8oG9GUbQtmex121DA23WPmkIsGQcJq5aMOYDNzHd7O+EyceWv3s94YqrUfpic3HOb7vWyk4e9VdxtG40eWPjPBRuFwYwQbyl6cOKv0LgFtZnWBgZrYPtQqmQC0Ial65t/akCCUBpbg9XyBjGxVJdsjMm4jpVWzB9/mdkMHu/gjmFCEZkgMELvGWzQFkZEY3obzTm83/zdntzdnpNq3Y/7ASTDFhfoZgr9asDxtxu/Xf+KenOcxRwhK1ycNaxKCng7C8dB383SKvMxUG1v3cYg8R0qTQFLAZQ4oDkLs1j9D5FWRxWH/6ILIWiKNrz8iH8fUxzbaoAMYDBKMS2MFr6La02j5wXVJ1S74BTEw0Nb+cR5wvNrnT92RNJhgActMChopuPgXasaQm9lWY1+zZruWP02c5VY/kG4sNEdBro3GwN4iZQFTeLlcT1+tR3tOIqJfZL0nN3KwR/9XvxzpVoF1CBgv1yXSq71BBdELMEOPCou9m9zPNsqfq17exScAXN2qhWS0+Mpz+OcXPbvtIlTVR6cWwviyVlHs+3zdkSXwJpMitKMs4ZlJn+KCf3z2fD5ceMIMd7dk+6zs/H3Vc1ALY2ln1yP7+vhIZYCm40W0JUcC+/fAbf/gusZwktUPEFRYvYEEX6Q/i7uW/Ai2TSA81pZLUgyTeNuy4yfu8PyoZASGamKhy4/2gYQvAr8Qm+QaBxxG5OfZXVrHwyPHTSLicAAAAAAAAAtQPrwi1AQ1AAAAAAAABXxK8DfD/6ywzzCgGP8VUy7GR33XDCSfGk/mjqkhOf8r+tZ7vICrNVvtrwAiOUezOpYyjiwAAAADETQiB9wacklp6iwKgEFRqOHkaEpQYJAb+Bh4EAeDxJzk0DSCEW3Q/swbyXE9jB5faklcnhRl0N6kSubhee0CFdZKNJofH1BpqA1zQ3jrS5SwpRJiVoCABOKN3wE95omGwhr8F9E1x7rPzsXt+dfT5paD6CXdrOm5cTyLnbp7WsoGXdwaBXRpNH6SN+b8MNto8LvDRxYFh/RHKWiA4Ba7iBEBrUvzOyTSzZn20efmX26cDTyfObiIspjDOjzzezQFhZMhiaK8r3RoKcBqnUMvvqZk8/mKEgcqNTCrnOY+1gFcVelTDetWxO9F63nRLOKOAgpGHhRj5EbE19rIXogC8yW7sk9HwAAAAAAAAURXweqj3FnB+G6ObwyGSuz9+7AauitPOg5Z917VIwbN7NH28gqkyfHCn9bngDZUWeAAgf7/AAo/AACnQUmblurnmigVT6dA1Vwi/SnkNti/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Following are terms commonly used in describing CNNs.

## Activation

Activation is the function used to get the output of a node in the neural network. In
                CNNs, activation functions indicate linearity or non-linearity of the results. They
                map the resultant to either (0, -1) or (-1, 1). Commonly used activation functions
                are sigmoid, tanh and Relu.

## Feature map

The resultant of the convolution process is called a feature map. Shown below is a
                formula to calculate the dimensions of the output of a convolution operation:

- An image matrix (volume) of dimension (h × w × d)
- A filter (fh × fw × d)
- Outputs a volume dimension (h – fh + 1) × (w – fw + 1) × 1

## Stride

Stride describes the number of positions by which the kernel is moved over an image,
                horizontally and vertically, to perform a complete convolution operation.
Figure : Stride

![](data:image/png;base64,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)

## Pooling

Pooling is used to reduce the spatial size of the representation. It is performed on
                the feature map.

Max pooling and average pooling are the most commonly used pooling methods. The
                pooling operation is performed next to the convolution operation to reduce the input
                size of the representation before the representation goes to the next layer.
Figure : Pooling in CNN

![](data:image/png;base64,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)

## Flattened layer

A flattened layer is used to convert the n-dimensional vector into a mono-dimensional
                vector. In our case, we convert a structured, two-dimensional image into a
                mono-dimensional vector, which is the input layer for the neural network.

## Fully connected layer

A fully connected layer connects each neuron of one layer to every neuron of another
                layer. The last layer of the fully connected layer is given for an activation
                function so that it can be helpful in classification.

**Parent Topic:** [CNN Architectures](https://docs.qualcomm.com/doc/80-63442-4/topic/cnn-architectures.html)

Last Published: Jun 24, 2024

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