Slopes and Intercepts
Slope Formula
Write the equation #1
Finding Slope
Write the equation #2
100

What is the y-intercept of this graph?




1

100

What is the equation of a line

y=mx + b

100

What is the slope of the line?

m = 1

100

Find the slope when given (3,1) (4,2)

1

100

A personal assistant charges $50 initial consultation fee plus $15 per hour. The equation in slope-intercept form is.

y = 15x + 50

200

y = 10x - 13 What is the y-intercept for this function equation?

-13

200
What does b represent in the equation of a line, y=mx + b
y-intercept
200

The equation that represents this table is


y = x - 1

200

Find the slope when given (7,3) (8, 10)

7

200

This is the graph of the equation


y = -3x + 5

300

What is the slope of this line?


y = -x - 3



slope = -1

300

In the equation of a line, y=mx + b, what is the formula for finding m

y2 - y1 Rise _______ x2 - x1 Run

300

An equation with the same slope but different y-intercept as y = 8x + 5 is this.

 y = 8x ______

300

Find the slope when given (3,1) (1,7)

-3

300

This equation is represented by the graph below


y = -4

400

What is the slope of this line?


slope = 2

400
In the equation of a line, y=mx + b, what does m represent?
slope
400

The equation that represents the graph is



400

Find the slope when given (2,5) (3,2)

-3

400

To rent a van, a moving company charges $30.00 plus $0.50 per mile.  The cost is a function of the number of miles driven as shown in the graph.

The y-intercept represents...

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byYfdjF5MuIx5IZGwILARrqCGyacMmsIiRRR2NTx2FRx2FW/WLxmFXxmJTxGBXxGBQJTCgTQlvh0YgxUsZhUydi16Vg0++VQiDhWZnUqRiVyUyokjEpkzEpQmaUp2CUJWOSJWOWp2BRpGBT7cGu2otdvReTNuR12MS9/sWy92PNPoBRf5Bx3UuM6w4zoX8Jg/4lhtUv0ac4RJfsAO3p+3l8fw+NtxKp/TGaykthVPwQTtXlOMrPxVF8OpyCk9vQH3sa/efPIH//96S9/wz3Potl1j4kkZm/mvn/5sVvEAiCBIKrBDfXQ6kcQQaK1NTGOghWfnaYZUMZc4N6ZrofsNj5E0tdP+KtP42r6hjOss+Yqf6S6eovMOe9T5/iTZpvH6Hi+l5qbuyjLe0gg8rDTOhexqQ/gEm3F6MmGaMmkQlpxUnCIlYRVSoW4ZJrhAuaiEWsRMp4zErh1iZj0+3DJB4K3WuYs16TYndb7us4816XwgJX3mu4c1/FlfMKzqwj2JX7cShTcSnjcCsicCl2YZdvwyLfhlG+gzHZLkZkuxmQ72FU+ybWsm+ZapWzMFjLqsPA+vQU/qVl1pdX8C0usrKwyPL8Miuzi6xOzbAx6cLvHMVv6mB1sJLFdh0zTWm4Ki5jLvyMidy3mNC/zrjmCBPqA5h1ByRAc+kSJDfenLlTAiGxkkugkBaJ4UE4E2nhGDMiMGVEYM4MmSkjktH7MYxnxGFRxmNID8OYHolNlYRDL1bYV3EUvI2n9ANchW9jkO9hQpaISRGDRRmBXbULp3pHyDS7cGjCcWlEmCI8jzgsiti/bE0yAUTCQxEWGwKm9Chs8nAcyigcymgpLLEJ70CZIIVHFrFVxkseg0UdE/IulFEY5REYZeEYM0NmlkVgFZ6MSnxHNOPpkQgPyCSPwSLOVRGLTZ2ERZXMhCKFUdkeRuX7MCj3MyrfT9f9FBqux1P+QxSFFyIovhhJ1eVoaq9EUXclgrrLEdT+EEXp6UgKTuwi5/iLqL94CvUnTyF/7/dkfPgCGV+lMGkZZmPd92+m/q9f/uaAQMr/b2kEpJz4xgosTxGYGmfV3MTScCEzbbckZtvz8DRTtceZrfuaqYqPcRW/hy3/TdxFbzBV8kdpBbTnvIZB+zLlP8RQdD6Sih+iabweR8/9JMYVKSH3UZuEUZPAuCoWgyJeWkEmZAlMyIXFYVTEYJTHYMiM3rJYjIpEDOo9TGj3Y9LulyaWmFxW3UHs+kPShHDqX0KYO+sIU9lHmMzaj1cXj0sdhkOxHaNsJ+PySEaVyYxojjCiexPXo9vM9WWxamlkQ6QQl2fxr62zvu5nbSPIupT68rG2vsTy6hIrqz7WNjYk5pq1VTaXlwjOThPwONiwGVk39LA6VMJyVwazzT/jqjqPJfdzrDkf4Mh+A6fugOSZuFQRCHOKSaEQEy0Cq2xrpZftxiYXFoZdEYZdGcGE8giW7HdxFb3PqPwgBvWreEs/Z6HhPDMNl5h6fIuZdpHR+BFT4ScYst7GoDrIhCwZS2YkDlkYLnkYLmUETmU0NoUIJaKwKoRXIcINwY+I96KlySomrE0lgCJGmqhjmXGMyRIZl6dgUO7FoNrPhPogRt1hjDpxbi9jy30Zmz4Vq+AeBLmpEJM8xGsIfkMAgUW+FdYoo7DLwnDLI0JALY/AJY/EKUAhM5ax+zEM3Iml73YcFWd3kP/1ixSd3Enh6d3knwqj+FwUVZfiab29l9abKTRfi6P23C5qzm2n6Nud5Hy1Dc3R55B//hSyD/9A2tv/i/QPnkV1Yi/z7nECQnvxH/zYvb7fnqBI0g5IYguflMv3z06wZmuVQGChW8FsyzXmmi4wW3eSqcov8JR+hLPgT7jy38BV8Cqu/MO48w7hyDmILVusfvt4fDOR2isxlF+IoPz8bpquhtN/P5Yx4cZqkjAJIFAKIBDxZwIG4f6K1UiskPJojPIoDJm/WLQEEFK8qknAvGUWTRIWTTI2QX5p9uDU7sOp249LfxBX1mEpTnfqBFkWLa2MRnWS5JmYCz7GXn4WR80V3F1lzIy2sDo5TkDkxINrBARn4t8IgUBACKI22PD7WN1YYS2wRkASsWwS3NhgdXGJOacT1+gw1p4ujK0NeLoesthXy3JvOQvtOUzW/oy3/CLeoq/w5L2HS/8KTlUqDqUIVeIkctGqiMYsi5I4ALMsHIs0aSKliSrISEveB3iqTzDXeIoR3dsY8j5iquECS10PmG6X4enS4e7Jxt4hw/rwLMaSLxnXv8G4Yj/G9GjsGRE4ZeG4FFE4FIKbEJM8CosyUiIqBWFpE6ShMgqzMkJ6X/pcEYlJHokhM3Lr3ghPLRmzOlXiAcwiW6I/gC37ELacgzj0KdhFBkNwEqrorVAmUiI5LXIBBJFSSCM4DptcnEsICC0ZkUykRTB8L5KemxG0XA3j4cXdVF3YTd43u8j7NpyqS8nU/3yQxttHaE1/g27lO9I49CveouXGQSrOhlN56jkKv3qe7GMvoD36HKqjT6P85A9kvPM/yfjwadQnU1nwjoc0C/8hEPzvpCzcEraFNGZCFLRlIc1ZaBgkZZif4PqCJN5Znx7GZ29leayCxf4sFrvk+Dpvstb5I76W75gp/whb1psY1QexZR3Ek38IV+4erNpEiVSaEPG3MlaKuUcy9/Lox2gqzm2n5PRz1P2wnSc3whgTq74qgQmViG3jsMpjJVbdJBPuZBRGZSQmdQQmxZbJIqW4XhBegt02KyMxyndjVYZLZlNGYlfGSFyAS5OMUyMe1CRMqiTE5Dfq9mPMehlH5XE89Vdxt8hwPyliur+B0ZZmxtufYB8dZtZrZ9prY27WxcrKDIGAyHMLriQgpU5FrjqkvAxIopVZrwvLyAB9LQ20VBbyMF9NfsbPtBYW4mjvYdUwgd80zkZvPatP8liqu8t82Wm8uR9jVb2CRb4XizweiyIRiyIpFOvL4jAKAMyIYjxTEHd7sWe/irfhexZ77uEbeICh8gzGmu/xdqQxO5SLqy8fa28xpt4STJ06rE0XMVZ+xVj2W4yqDmLIjMMiSEax8ssF2ERJ7r9JEIOaaIyqCMzqCMyqCIyKCCaEOy8XFsaEbBdG2Q6s8u0SEWpX7sYpMhVqkSEJeREi8+HQRGPXROPUxeHUJ+DSJ+LWJ+DUbpGVymjJGzDKBKBEMJ4ZwWB6nGR992Lovh3Nk58jabgSQeWFMHJP7kDz9XZUx3dSfvUwjzM+ZrzkDM7Ga3jbbjLVdY/p7vvMdtxmovQUbWlvU3I6kpKvnyLv6FNkHX0a3bFn0B9/Ds0XTyN773+S+eFTaE+lsigBwep/AANCR/DfyCP4RWb5qyvakppKhN+W+CckFFqXVjux4sHfCIgC62yuTeGfG2PN08GSuYolQzkr45WsjVezNlbJYr+O6a40vI3f4SkSOeVXJfdcMMVmTRJmEdOLVVoVh3i4jArxgOzBrt7HhDyVnruxVF/cTuGpZyk58zwt18MYeBDHuCJJYro98mgc8lgpzWZUxDKhisaojcSo3o1JGSatknZFAhZBSon4URbLePoubMrd2JU7sSt2YVNESIAiiDiHKg63eic24Z7qDmMq+AxL5Xnmh4uZG29gvLWCpuJsWqtK6K6vouthBZ21FfQ2P6S5opD+tibclnH8/jWEsEWYf30Nv8+Hb3mZlcVZplxmeh/VUJun5WF+Fi3lRbRWl5D94CeaCnOxd3eyZhrHbxhmo/Mh662F+B7eZa7gOB7dO9jV+7ErE3DIwnGKrTIZpzIJlyIWu2wnYw92MpQehyn3fSlFNt+jZL4/m9n+HOztOmwdehw9Obj683D35eDpzcPTk4ej+Q7jue8woj3CiHoPBmUSZpEpUIVcfpF5mMiIwiSLxaSOxaiJYUIdjkm5G5N8t7RymzKF+x6NTQCtYhdm5U5MAiyU4RJYiJSjXXAMmmjJi7BJuogoTKooLCJLoUnCpU/Bm52KW5+KXSOyNEmMyxIYSIul934MnXeiafopkqbrkZK32HQ5gkeXI2m5GkvD5VhqLsVRcz2VhntHGK28jPuJmuXhPFbGClgaK2R6IBdHp4aJupsM5Rzn8e1XKD21k+Ljz5D/1e/RH/sDmqNPoT76PMpPnyb93f9FxofPojl1kAWviaCQa/8HP//wHMEvk/9vt3//eoQCUKgFhWBQKAFD6iupRkDo5YWLu7HA+rKXtclhlu2tLJrqmB0tZX60jJWJajaM1ayPleJqusFYyUnGct/HIeLAnEOYtHswqpKYUMYxIY+RiCmzcDm3zCSYZmW8tCoblIn0Poil9tIuis++SMHpF6m9HE7vgySJHbdlhuFUifRbMjZ1ChZVIhaVCBXEihSO8BQkckodh0OfiFObhFUej0ORhFOegEMRh0PEspm7MGRuxyCLxKgUgqEPmW28zEK3msWhMuYm2nGPdNDfVEtDUT5Paqrof1RHX3MtXQ3VNJcVUJGloqO+BuvYEIvzsywszLO4uMDC/DSTbjODPR10t7XS8egRj6urqM7VU6bOpFyVRoU6jfy7P9NaWoSrt4uV0R58fU3M1ymZqfgZb95xbKo3Mcv3SxNGuOIOVQx2KZ2XiE0RF0oHKsXETGBC/xqOh+dY6JUzN1DEZE8Bzo5sXH2FuAZKcA2U4h0qY3G8grn+bCwNdxnKO8aoah9jEvMv0oGRODSRODXh2JWCg9iNRSbSnCGSziAXoVgkFkWYxFPY5DHYZHGY02MxiayGICYzBECEPAmLLAqr5NLH4FTFSqlJkYGwauIwS1mIJElzIMKH8cwkhtIT6bkXT9vP0TRfC6Pu8g7qLgnbSfO1CNpvRtF7J5LeOxF03Qyn7WY8rXf20aV4l9GS07gf3WFxpBCfsYp1cwWLIwVM9mRhblUy2pDOUPkVejSf0/TTQUpObKPkm+co/Ob35B7/A/qvn0Z39EVUnz5D+nv/QsZHz6M5fZiFSWuoRubvTxzp3X9sIBBFGKKgRyqm+aXw5u9fjXBhhRhIFIyICEESBQWCbArzL+H3TeKbHWfB1cOcoYHZ0SqmhyuZFR6AoZqF0WIm2+XY664xmv0BQ6pXGVPtx5a1F1vWHixa4X4nSMTehHA1xSqTKUQzIuZNkNx7gyKSMUUUBlUs46oEuh/E0vRTBAVntpN3egcl58N49LNwEcWDn4RFmYxNnoxVFprcTlWIYRbpvhAzHY1bH4dHJyZNLOYM8bDGYpElSnl6o/AwdPtwFn6Aqz6TqSc5LAzVMTPSinOgjb6GGjpqKmkpK6KtooThx02MdLYw8LiB7qZaeh7V0dNcx1h/DzaTAY/LhcVkZGJ0BPPECHbLMN2tjTRVV/KwtJSagjxqcrQ0F+rprChgsLacnpJiLM11zHY3MvekCE/NfSxZxzBr32VCcVBi/iWgUohrFiGOSN+JMCZR4kkMmbGS2EkQsYKc9XRm4hkoYHqwismBcjx9hbgH83EPFeEZLGNyoJTZ3nws1T/Qo/uYtnv7GM8U4UW0xDPYFOG4BSmpDJfIOXNaGKa0cCzi8wxBzEVLAOBQCkI1HJssGmtGLOa0BMzpcZgzY7HKYrHJ4iWzy+ORTBGP8NJMsnjpeMPpsfQ/iKHtRiSN18JpuBpOvWDyr0bScDWS5h8jeXw9go6b4fTcCqf/TjijD6IZS49iOC2CgbQoetPiGdC9xWjRUWyNN5jtz2fV/Ig1Sz2rpgoWhvNwtisZfXiHnrLr9JZdZaT8Il3Kj6i7tofC489T/O1zFJ/4AwXfPkXut8+S/fV2tJ8/R8b7/0L6xy+g/e5lFmccW8Vtf3/uiHf/sUOD/x9AIOoFBOP9CxAQDILQZa+vEVieZG12gkVHO7OmemaGK5gZKpe2c6OVzI8W4+lUYKg4x0DWxwzKDmBQpmARQhhdEjZ9kiSXtahFei9Gym+HgCBWSifZlclYtJGSyzmmjJDAYFwVx6giQbrZtVciKDi7E83xbRSf20nLjUiGM5MwiHxzZiLWzBicimgmtdG4RfwpHdVGsKQAACAASURBVCdJmvxubSwuTQxmWRjjabtCKSjFHiw6IQ3+gNnqUyw+SWNhvJOZsS4cA52MtbfS19zEw/xcanNzaCjMpbO2jLEnDRj6OhjqaKG/rRnLyCBumxm33YbTZsPpsDPQ2037oyZ6WpsYH2hnoKOFrpZ6HteUU5WrplIvo6umCGdPKysTY0x3djLXVcd8Ww6e2huY8o4zJj/CuCwZQ2YEhsydobhbEc6EPJpxmRDtJDGhTmJUIWwvlty3mK4/y3znPSYH87H0leIZCAH11EgpnuFcPEP5ePoLcXdkYWu8T7/2Q5482EfH7TCEa2/NjMQuEyx8JB5lFE55FNb0SIz3I5i4HyUBqDU9Bkem2Gc3buVOHIrdWAVRKUBC3Ad5MuJeOlQp2MX9lydjliVhzEhkLC2ekftx9N2OoetmNK0/R9L0YziVF3dQcm4bped3UH5xN9WXwmm4FkX7rRj6H8RhEilCVSxOTayUvTDJIhmUQCCZPuXLmCtP4Wq5yexAPkumJlbs3SxO1DA3nI+rQ4mh/g49JVfpyL9IT/EFxirO0iF7l5rLSeR9/TzF3/wVCPJOPEfO8R1ov3iejD//jsxPXkR//jUWZ53/CSD4b0gW/m2YIH4XP/5AkFWR5pJqhEQ96RrBlTlWp8ws2buZtzQzN17FzGgZC+PVrFobpCKeyW4dY1VX6NR+RHvGS/RmJGPXxzGZE4s7O1bSs9slQigeh07EgyIHLTwBkQeOlxRrTnWqFDvatZFYtVEYFZGMCAGNSBVKD/0e+tKTeHglgqwT21F8tZ3m6wn0PUjBrEzCqY7EqdqJVb4Nq0LwALG4tal4tEkSCNhUYhLtwqCOxZB1EGvpl0w3/oyvr4Q1xzjr83Mszk0zMdBDfUkRFdl6KvNzpRW8uaKEzvpyehtK6arJx2kcZX7Kw+qKiP0XWVpYYGZykimPG6/bRVdrC/UV5ZTr1VRrlIy0PmTWOcase0z6jodZcrrL8/D0tuB3DLPYVcL0w6s48z/GqH4ZgywJU+Z2LLIXsMlfkAg3KW0nF/xICi4RBokYWn8QY/6fsJR9yUzLT6yN5LBhrmbOWI9jqBJbTzHO/gLcAwW4h7PxDmbh7JAxVvkD7eqP6biXwJgyDE/OdlwaEWqF41ZH4FFHhcBUkHWyaIySMCkWkzIRc6ZY/cOwZu7AJsZauQOzIkzieMwiRNPuw6o7gFF3gGH1QbrSU3l8KwEB5CXf7SDv5Itkf/McOd88T+6JF6SQr/HabnrvR0lcwHBmIsOyRMbkiRhFhkSTgEcdi1sZgSNzB4P3ttF/P5IB+RFGc7/EVvsji0NFLI/XsGCsY3qsCudgCeZWGaN1t+guuUx36WV6S39goPx7hsvPMZDzOQ03D1F2PpL8489TePw5Co7/gbxvniLn2+fJOr4L3ZcvkPHn35P56TayL77J0pxnq4z9v6tH8O+f91YNd6iCMEQOihAiVE24GVzF7/OyNjPOor2deVMjS8Zalo1VIbPWMTNYiK0lk86sE7RmvEPHg30MyUSqLw53bizOrBhs2mhs2ljsulgJBAQQOHTxOLQJW3FuEnaVUI+lYBbknzIGuypWktOKVeqXh9CiFhmGJIYz43l4OQzt1y+Sf2oXFRcjabsZSjGKwhuzOixEFioiQuyzRgBLDFb9Xmz5f8JVdRJPw8/MduexMNqItauRnvpauhsfMtbzmIG2OjrqK+ltqWek5wnt9dV01Fcz2tmCxzzErGsC3/I866vLrC4vMON2sDI/w9rKCms+n2QLszN47HYM/T0MtDTSXV/BcGsjxq7H2LpaMbXU4m4tYa5dy+KTexjzPsAsCErhNkv5+TDcmh24VdtxCOY9c7dEjLrVe5jS72Mpbx/e3JewF76No/YUk223mB/IZX6ghNmBMib7S/H2l+DuK8TRm4ejJ5fJgXw8PRrGq67SofqE5ruH6HsgipPCcel3YlXtkAg+qzJEqFqVEZjk4Rhk4YzLIjEoo5gQxU2qeGxSHUQkE4pwxhXRjMjj6M+Mp+NuMq23kmn+KZ7Ky5Fknd2B7vQ2sk5vI//MNgkIKs/voulKBE9+iqH/bgKD9xMZSYtmPDNS4mkEcSzUizZNvKRkFJkduywKe0YklvQIutNTGNG/iaP2O2baM1gYKGJxvI5FQz2zY+W4ezUYH99h5OFP9JVfpb3gIj2llxgov0x/8Vk69V9Q9dMhCs5EkX9iO0UCjL5+jpxjgiz8V7RfPYfm2A7Unz9P+nu/J/OT7eT88BZLc97/BBD8N/EIfkkOhLBBYgH+UkosZQWESCiwTmBtjvUlJ76pQZYcT1g017NieciqtZZ1Sw0rhgpsnVn0lV6jVXuculsv03Y7leEMkQeOwqGNxKaPxqoPVcQJsYhI44lKt5BnkIBTn4RDm4xdnYzQ8ZuF3FWZiFURL2UCbLJY6eG3y4XsVbiGcZLmXWQaBtJjafk5iqKzu8k5uZvC7yJo/CmBnowUBhXxDGTG0J8eyagiljFVEpa8N/BUfsVc2128bTpsLUXYupvxGocxjQ7S8+QRbQ1VtFXn01ZdQFdDOeaBDua9dlwmAw7DGNMOG+vLCwQ3VtnwLTLncWAfH8Y60o/XMsGs28HizCSb/nWCIluw5mN5bo4ppwPr6AiO4WG8I0MsjrSz0F3GZP0N3GVHpeInIaQRE8+6JQbyaiKZ0kXjEaSdLAxbRgQ2WQwuTRIebTJedQqunNdxlh3F3XKTyR49U4MVTPaW4e0qZrI7n5nefLwDhXj6i/EKQGhVM1p1g3bVUZpuv0LLzRQG0uIYzRCTMIKh9DD6H4TRfy+M3jvhdN2K4MnPu2n9aTct13fz6KcwWm6E03o9ksfXImi6souGqzupuRKS6ZZciKT8YjwV38dTdjGawu92k/fdNoovbKfq0i4pBOi4EUX/nVjGhbufnohDhBGyJATZaBHFU/IwHMIjyYrBmxWHQxCJQieSFospIwmr8gCm8hM4Gy5L1ak+Qxk+Yx1zozXMDJXi7tZibL7JQMV39Jaep6f0B/rKLtNXfpm2nNPU3H+foiuH0X8bjv7Yi+R89RwF3zxP3rFnyfry92iP/ivqY8+iOroD1WfP8+Dd35Px8Q7yLr/N0tzkfwII/hukD4X7/0tHmL8CgVj9RRedDYKBNYJr8wQEAEyOsGjvZM7YyILxIT5LNevWanzGcmYH8rA8klEn/4bSn9+i4vpLNN+IZSBNyFcF0yykoDGYhBRYl4RZVKMJrb5amGCK47FrE3Dok7DrRG1AssQYC9LOqUvFLnL5sjiJbPJqkpgSKSUhOFFvSYiFsEibglGbSt3VaHJPhCH/cheq45EUnI+n/EoiFdeSqLmRSpvsdcaKTuBsvIOnVY2zq5L+2mKai3J5VFHBUE83NqsZt8eGzTxCf+tD+h7V0N9Sh3N8iI3lBYkoDaxv4F/bYH3Fx9L8Aoa+dnqba2ivLWewrZHBtiZGOx9jHeljdX6aaZuJGZeNlcUF1tfW8c3PMm8eY3qgBW+LArdQDupfC9UGZISF3F5JkRcnaQQEIIrY2iRLZCIjTqorGE2LZjQzmpH0GAbupmDJ+wRP/RW8nRpcPYU4ekrw9BQx2V3AVHcuU93ZEgB4egtwd2bRrvuOqhvvU3RhH2UX4qm7HEPz1UgaBTl3KZyHl4TUNpKai5FUCnXn2UjKzkRQciac4tNhFJ3ZTdGZXZSc3kXxqZ0UntxG3ontyI9t4/6nL3L7wxfRfxNJxcV46q/F0Xw9mq674QymRUraBqsoblLF41HG41XE4pHH4pbF4JSIR5FdCEdIqEV4N5UVyXS2yIzEY8gUYYJQIb6Pp/wblocLWB4txmeoYEWkrScqcXXrsDxOZ7T2Ov2l5+nKP0Fn3mm6i87TW3aFJv1pcn58h3tH47j14XYUnz5D9pfPSgCQc/RZsr98Bv2Xf0B79Ck0x4SgaCeqz17g3ju/I+3jHeRffY/lham/VdL8XT/7HztrIE55qzXUL2DwayDYIBBYY211kbUFG2veHhYsLcwZ6pkbq2FpooZ1Sy0rhjI83ToGKm/QqD5F1oXDFP6QSt2NJGkFNkjlsELEI7TtIlbci1mfKk1ai9CCb01kqyYBm3aLQNSKOoEURGwpClAcOanY9UI3Hi8V+ggQmMnZy2TOXmyaVCZUKYwqUxmQJdP1IJGGa7EUnY1A9eVO0j7dQfqXu1F8G4f2/H4Krr/NY/13uHvKmB5owthSQWd1PlV6JYWKdMpztLQ3PsQ43M/8jJfVlQUWF2aYctsxjwzgtkywujCPf8OPAALf8grTHg/msTEqc5RU56hoLsunu7GK1qpiuhuqGet6jMc8yvCTJsa7W5m2GfHNeZk09GJoyKKv4Co9ivfozzzIWGaMJAISMbdY7QyyVEYyUui/n0Tv3SS6biXRdTuR7rvC4nlyK4rWG2G03ozlyf1XJY3DVIeMqb5CnN0FOLpymerLZaY/j8neXNxdOTi78rE+VjJae4OSa6+iPRmH+qud5J7YSfGZneR/+yJ5375I7snt5J/cTcGpMApPhlN0KoKSU1GUn42i8lwU1ReiJICo+T6c+ksRiPx9w+Vwai9Fkn0yjLTPtnPrgxfIPRFB8/VEBtPF9cRhFopARajyUdQcOBWCZBRqxQhpK8mDFaI6UoihIjBm7MKu2IFHGyaVd4uS7zHlSxhzP8Ndc4G59jRWTY34JmpZNlSyMF7C7HAuxua7DFVfo6f4PN2F39FdcJauvNN05J6hUXsS7dX3uHE0lcvvbuPnd55G89nTFHz1rBQSZH/xLFlfPCsBgSg20n39ApqvdqH67EXuvv070j4KAcHS/NR/wiP4Rw8NtsjAX8OY4AZEr7xVVn0LzE45WHD2sGwSRGAFi+OVLE88xGesxzdRh7FJQZPuAvKLb3H7q72Uf59M++1YBoSiTRuGQSPSfvGMyfYxLj+EUbFfWunNkmJvL2a1KDEVWQRhIkOQiFmbGKpfF00z9HuY0MVhyo7FkZuIOzcZl148UAn034/n0fVoqi5HUXgxgqzTkei+jaL0QizVP8Ty+Kc4+tJTGde9jqniNLZHmUyNPmZtYZaNlRW8FhuW4VHspgkW5maYn53CMtpPZ10lVWo5j4vyGe3oYHEtwPLaBksrq6ysrLDqW8HrMmOdGGS4t42ulloe15XRXlfGk5pi6gv1FGTcpkKXSXNprmT1+VpMfe3MO0zMGbuYaNRQcfcLdOdS0ZwIJ//UNorPCNWkmIzhlJyNpOiccKVFViScvDNh5JwJJ+tkGDmiGk58dj6a3DNhZJ8Jo/hqKp3FZyUyzNNfgLevBHd3LtO9Gqb7VHj71Dh7c7H1l2J5oqe39HsaZO9RcXUnj25sY+DBLkYzYhl8kEhPWgJ9sgQGVfGMKKIYlUcxJothXJJux2FWCM5GqDLDMMlF5uIFqc+BqAUYyxT7x9N5N5Hi78LI/Pw51Eefpvri8ww9eAGbchsOxS6cKqEq3I1DFYZNGYZViJBUYZIZ1eHSczOaGcN4ZixmZTROdRgW+U4pWzKmPIAx9wOmW2+zOlaE39XCoqFWIqrnR0uZ7MvC0ppOX9kluosv0F10gb7S7+kr/YH+ovPUyY7y47EDfPHKLo6/uo3bH+xE/9VOir96lqKvnqFQAoPnyT76LDnHniL3m2fJO7mN7ONhaL54kbt/+h33P9xO3tX3WJzxSh71r+fQr1/9l3gEIsUn2H2p8E8U/22ZJAyUzi/EAYS0AaF9pdyAAAXR9FK0d1qfxT9vwecZYs4iuAAx8YuZHy9l0ViDz9ok6QR6Kx+Qe/0jNOdfQ3/uABVX99NzP1lKYwlpsFkbjUkj1H2JTKhSJYmrSSVKTYVuQFQGpkomlaLqUqQyYZsIC0QosFVS7Mw6yJg2hSFVMj3pKbTdTqLhWgLV38dQcSGKyh9E1VgkNdcEHxBF28+xdD7YR4/sZYZzPsJS9z2TPTIps7HgHmJxbpIV37rkmi/Pz7MwO8vSwrw0wZcWF5j0urEYxuhvb2Og/Qnjw8NMzi8zNbeIxzOFecLAcHc77fVVdDTU0N5QTVNlEZV5Wkq096jOldFUkc+jyjKaysvpbqxj5EkLlr5HTA3WYn+Sw1j5JYazPubJ/UO03Eig5adontyIpONmJO03onjycyxPbsTSKlk4T25G0Hkrls6bcXT8FE3nrZiQN3A3kcd39tKtepuhguNMtGTg7s5iqr+Aqb4CPN05eHv1ePv0ePqycHTlSCAwXHSaHvXbdGUepi8tllGh21CI2oBYSYswrohnXBUvZVKEBFsy8blCKApjQkVG0u9C6y80/6IxSgQ2iUgUVYLRTGQk0n07hoZLkaiOPovm+LNUXd5Fb1oMVqH+FNWHqiicKtEIZTdm+S6MwhS7Q30NtLES4Sh0ElZFGI7M7RgfhDGenoIx7xPsDy+zMJKPz/KQFXszyxP1LI1XMdWXja31PmO1l+gv/Y6+knP0lV2kp+QSHUWXUf3wHtc+28c3r+3g9GvPcvPPz5J97DmKv32GgmN/oPCrZyj65gWKTmyj4NvnyT3+DDnfPkfuiRfRi+Kjz5/j1tu/4+7Huym8+SnLC9P/mB6BAIJQN12kTq2iw6vo2CqBw1+AQLQLC7AeEN1cQx2Cpe7B/hU2V6cJzJulPnJLpkbmRstZHC9jRXgEhgrmDdU4+kroqUoj79aX3Pt6D/JvE6i7Lty1g1ilZh6JUvmvKAEWzSeEYMiiT5E61Ji0obDArEnFod8baneVvQdHdkhcJN4XbbsMij2MCy8icz+d9/fw+E4qDdeTqbqcSMmFOErOxVJ2MYaHP8bQcjuW7vQ4qRJQNK9wlHyIo+Y0rvY0picesjA1zMrqIr61dZbXN1hcEd5OqCGmKAry+/2s+HwsLC5Ktri8wszsPG7PJE73JO7JGdzuScZHRnn8sJqKHC0VWWoeV5bQ1fiQttoqHhYVoLhxkaz0n6grK2S4t4/Bri4MPe04htqYNjzC0ZzGYP5pemRvMCKq70QKVJCWwhOSSmYTpVJp0ejEJNJkooBKLhR9cbi0KTg1IkWYgEuXiCNrj9STwZj/HlNNF5nvSsPdm890fwEz/flM9oTCAFdvAR5BDvbmYXusYKzmJr2KN+lPT2VUnopNHeJfHEoRdm01L1HFSrUegqkXtRdSUY8o7BFSYQEIorGIMFnMlolsTpQEBAIYzJmiAEiQu0mMpidKIYbs2AtoTu7m4Y9xjKXHS8pHoeB0iu+X75Z4AJNM9HMQ3kEUVnUcE6KJilyoF3divr+diQei78EbeGsvMdulZMlUw5JV9D5skLzU2cEi7K0ZjD+8ykDZGfpLTjFY/h2D5d/Tlnue0rRvOfvnFD47vI3jR57m5ntPkfv1M1Sf/lcqT/6Owq//heITz1B08kUKT26n6PQL5Jx4lhyhIfj2RXRfPofms2e4+fbvuPNpBMX3juFbnv318v93Xv2XeARSXcBWQZDoFCzSfn8RAomT3EoRCI9gw7+GP+AjGFgmuDGPf9GKz9vPouACxqqZH69gfqyEeQEAE3V4B8sYqpeTd+cr7p44wo+fxJJ/IYnWu3uxZu/HnZuKK3cfjpx90gQXve0k0+/DIjrQZB/Ekn0Ic5bYHsaW8zLm7COM6w4yrD5An3wP7feTaRbVhtfipcYQFd/HUiLIvouJ1F1LpvXOHnoz9jGqPsCE7hCm7Jew5r2Cs+gNnKWfYS87y1q/joClkcCsCf/yIusrqywtreBb8bG+vsL6xqJUQx4MhMZHdKHd8PvZ2BAdckWFoHi9wdqqj4X5ORwWK/YJA92P6ijXy9DdvUpFtpzOhirGezsY6+lmpLsH+a17qO4+oKawEONgF47xDowdeQxU/kyT7COa7hyh88FBRpX7MIp+CcLzkXr/iQYqonWXqLYLmaiCtEs9AvdjFV2L9HulHgTuvH048g5hE+27qo4z+egasz0qZvpycPXkMdmXz1RvHt7uPDxd+Uz2lzEzWIS3U8Vo2Vk61R/Qlylq8gW3IjyyFGyaJGyi/ZhKiLpCRVyikMskcTJikoeqGkXbNKvoNyCqDSVGP1T8I8qBRdwvTBQkCRGRqIYUsm0BBu0/R1Nxfifqr59H+83z1P8gXHzRu0CQoFGSmMuYvhOrMgy7KBCTRzCeERbqPyCLYCwtisF7SViy3mWu/gKBES0bhkJJvi7AYMXWwFSvnonGe1I2oKfkAj0iO1B0lv7SC3TmnyP/54849ac4vjj0DCdefYq7H79I4ant1F54kbrzT1Nz9vfUnPtXKs8+Q8nJZ8g7/iyFJ58LAcG3AgheCAHBp09LQHD3swjK0o7/IwOB6Gu/sdVz/m/6x0sYsBmSBUvyYNH62cfmpmgbPcPGkoMFezfT401MDdewYKhmRXT1tddIHYBnxxtpK7lH/t3jpJ1+lfQTqeScT6QrfS9G3R5cOfE49dG4Cw7iyH8JW+4hqXmIUXsAg3Zr0ma9hCX3Zay5L2PKfoVRzRF65QdpvJlE1bU4ir4XTSIiKf4+hsoriTy8nkrTjb30Zh5hSHmEMc1LmESJav4BbPmHsOcdwZb7R1yFHzBTfoz5xhssdBQSMLSyYRtkzeNgdW4Rv2+dwIZ/q+pPtMVeJuBfl4RSorutz7dKYAsURFWgqC9f9S1JuoBpl52+R808qalgqK2Rib7HGLqbqMtXU5urpiZPS01+Dg8LC2isaKCz8TFj3R0YOqt5XHybigcfU3H7dVofHGRQsZcJdQgcpeaf2XtxZO/DmRMye9YeHPo9OHQhc+r3YdcfwZZ1BJvovJSzF0fBIexFb+IQJdyPfmSmR8XUQAnegTIEN+DuyZVCgqm+ImYHy5gdrMDZpmKi+gp92vfozDjAiFJ0dBLftz907OxUHELlKTVxSWRCmYSo6ZhQiDZkCVLTEAESUqpWaj4iBF/RkrZB6hEgNQ2JDJGcGUKJGI1VdDWSxWHLjGfkQRwiRVh2bjv6b54l+/jTdN2KZCxD1JDEMp4RjiFDhAeiAjRUtiyakFgUAhCi6b+fSL/ijzirv2OpM431sVzWxotZHAvxVvNjZVhb7jBUfZXOogu0F56jo+gCAxVX6Cm+SMX9z/jp8z18cehFzr72FDc/EO7+dqov7uDh989T/d2/UnXmX6i98BTV556m7MxTFJ14mqJTz5L9zTMhodPxF9B/8RyaT5/m1ju/494XkVRknGB1ee7v+AC/fuu/xiOQQOCX/ywj9J9I/JIVCIjaAvGfioj6goDoIjyDf9HOqneERWsXk0MPmRmuZclQz4ajBb+zhaWJKsaaNdRqrpB29k/c/mo/+vN7abp7kDGpU+0e7DlJuHMTmCxKwZp3BFPuq5hzXsGU8yrGrFcY0x6hX3GQ7vR9NN9Kpv6nRKqvxVF2KYayyzFUXE2g6noSdbf30Zp+mC7Fqwxq3mBE90fG9G/hLPoj7uLXcRUfwVPyEpNlh/CUHsFd9BrO/PfwFn3BfOUZ5hszmGmvZmO8m3XzID7bBMsuoXuYYmNxicDyMkGfj+Dqaoj1FwVUgeAWCATwLS3isVuwGYYwDXXjNo8yaTVgHeihp76GjtpyntSU8riqmNbqUvpa6hjqeMRYbztO0xguQz/DrZU8KrhLedoxin5+nbrbe+nMSMUsVn7RKi0rFZfo9ismefZ+HKLP3paJTsD2rL1SHz/RsdiRtR9H9svYs45g1u9nQreHifzXsZZ/gaflR6Z6dJIewNZfga2vDGdvHs4uAQQFzA2WsTBUirNNzmDRabrU79KfkYJBHi91dbKIc8jbjzNvH85cAUip2KV2b/skFaDoE2hSpWIW/QJEWbMyAbMo/FLESs1FTKLEWwCAKDFWhGEQDL8odZbqEkTtRjQTDyIZvyd0EKH0p0h1Nl/bhf74s1Sc38GjH0UaURQqxUqFZqKZqgAAkyhdloUxlrab4fQEhtRvYm+8zsJwLivGyv+Xvfd+ripb8j3/k+mZeTEz3TGvZ7oKZPCUvQWFKQtlKIwAee+9x3sKU5jCS0LeO0AGgewx8iAhISEkvJE/VuIzkWsfUVT3ez033q1X3T9cRXxjn7P30TZrr/yuzFy5MpnsKcbSV8pkTyFPjVcZrD/PnYqddJTuwFi0E0PxHtrLDmAo3EXJyQCOhKwmYZMru7e6kBbmTHGCM5WpC7i+05Vrqc5UJs+jMuk9KpLmUZY0TxFBafx8iuKcyY520nIVRrqSIY7PANEI/oVToZ9y7UIipqnRv2L68D8ijkBVmZH5fzsi+DNSyMEh/GqR0YxNKx5iGWVmrB/bUyPTg7cZ773B664SJnvLsdyX2IDrvOoooq3iF8rOxnEuaTNno78mLelLbv+yjv6sDTwXYSwQVfVrRvLW8aToR+7nbKT36ga6rvyA4dy3Kmb99okvqT26hhuHVlOx/3PK9q6gcv8Kqg6vUvsbz3yL/sIPdGVsoT/Xg8FCL4aLvRlxpBF/XurFM8liW6glKX1a/BNPijfyqGATwzlujOR58awoiCdlqTysPMGrpmxGDWWMdtxm/F4npuFB7C9fMfP6NbNjEhMhC6VkxaRoCZLb3s6jgT7uGvW0NdbR0XRTRRF2NtbQY6inu7mOhooibleUcKuinFsVZbQ23mK4/w7PRu7xoEdHb1sdjcXHuHElnqJj3pQc/p7a41/TdelrHmR9w7P8b3mUpaUll+SoI1nrGM5ez0jOd4zkrFefh7O+5aEk4cx6B5nrGc5cz2DWeu5d/Y7+okCGq1N5qb/Ay84iHreXMNRazANjPsP6TJ62FvCyvYRXrXk8abpId0kShvTt6M9/Q+85WVa9WlvpmS6hyF8wlPUlD7O+1DIMXxVt5StFBANXvuL+JYE2hXv/0mruS35EyUMoTkVZFyILnS59pKIQJT26REBKTkRR+Yckh+PZT+g/9ZEKDJLEp48ufcad05+qxUOFSUsoTV3M/E2RAQAAIABJREFU7YMfcFcWfF1cqTJJ3ZNUameW03N2Od0nl3Lv8rcMl4XxuiONycHrTAzWMtZbgbm/lBfGdAZqT3Gn4jDtRSm0FqbQVrKXjvKDtJcdpOBnX05Ff8PO7Qs54D6fS2ELqEh2oWaHE1WpTlxPERJw4VqyCxVJzpQlOFEaL5hPSZwTxWp9gROZEc5khAsROHPJb54igtNhn1F1JUVpBFog/u+1gHe//YdoBHJTMuLb7DNYrDMqRZakFtfWDciKQfEHiCnwgJlnOuxDVVjulTB9twDznVwsKg98Pi+N6dy5dpy8Y+H8mrCR46ErKNwteQM3MJS/meelP/G8eD1PCr/nceEGhgu2MCi59bK30HnlB5rOfEP5/pXk7/iErKSPyE35hMJdn3H94Bpqj32J8fx3DOZuZjBvC0MF21XNgOEiLx6VePO41JunZV48K/fkeZkHL0oDeVoUwEi+FyOSD79wO48ll0H+Jgazv2cg63sGs39gIHsbfZn+DBan8KDiZ0ZuZvG67TaWgR5mnz3jzasXzI69xD72HNvkBDMWiZa0qoCghhsVlGdnUFWUo2YE6krzqC3KprY0h6qiTIrSL3D7xjU69a3c7bjL3bZ2Xj4d4fWLQdqbSilKP8yZhK+4kLia/L1f0nz2O/qvalmUnxd8h0CyLongqxTp2d8zkvM9j3K/41GuttUIYZ3KxisZeQVSO0DIYTDnB/pzt/CwMp5n9ccY7cjlZWc5j9uKeGjMZciQyUNdOq+6ShjvLudpUxo95XtpTttGy8Uv6JCVfldW8+yy5HVYoxZt9V5exf2MtQr94qRN+0LLIHz5K/olhdjFLx1EIGQwRwSfc9+RK2LgyifMYVhiQK6sUcFQsrpzRJaCy1JoyYh8/lOVPWjkgiRMXaFMxdIdy8iLX0BZykJaj39CvzhHZbbi3Cd0nlxGx8kldJ1YzlDOJsYaUpjozWe0/zqv+iWOpYLp3mKG6k5zR4S+aDdtBanocpJpL91Pd+URjIV7OBr+Janbl7Jn2/ukhTtzbcdCanc5U7tjHlUp87me7Mz1FDENFlCZvIDyRFfKE1woi3OiJNaJIiGCSCeuChGEuZAe5MxFBxGcCV9BbcZOzFNj/zk1AqnRJjXhzFJXQNUWFPPABvYx3kw/wPzoNqN3ixhpOsvjur1I5ZoHFTH0lUTQlhVA02Uvbp3zoPqMJxUn3MnYvYHSwxswXt7MoBT1KNrOUN5G7qWvp/3c17Rd+I6WM99z7eA35KZ8TlbiR+SmfkTR7k+pOrKaxlPf0HF5g0rA+bDQk0ci7EVejIjw525mON+NJyU+PCv351lFkMLzigBeVPjyosKLlxUevJLc9WV+jBR4MZTrwVCeF0P5ngzlezBc6MZI0WYel2ziUeEGhrK+o/3c99w+/gPXDm+m8ngAtecT6Ci/wIOGYkbvtmB7NIj99VPeTI4yM/GayWePuZadQdbpY+RfOEN1US7VJXk0yfRgXRU3SrLJPH+KmrISHtzrYXpygv47Rq7nn+fCgTCOxv7I0ehvqD72Nfrz6+nN2MDDnI08yd/syNcvWYh/Uvf3qGgDjwsl5fpGnkjW5KKNCsrMKdjASL7UUdDwqOB7hvJ+YDB/CyNlwTyv28FkexqjHTI7UMyLjmJedxXwqiuLV12ZvL6Tx2hHDk8bznG3MBnDZW+az31JV/oq+rPWqJTgA79+q4KUxFEoszP96V/Qn7aWe5dX03d5NfcureLeeUn8sYq+C7KI6QsV4yGFTWRGSCFjNUNq5egqHl5dxXDmKh5nf6nNZEi2YllzcFFSna9kRNK6X5QlyJ8ycEbLlDyS/Q2dZ1eqpcQVSYsQ3N67nI6Tf+HOmZV0nf4LumMfULtvKaU7PiYndRVnY7/lZPxGjie4cWG3L9fOx1GXFset9Fhup8fSmJWCsXA3+txUyk4EcDz8C3Zsdea4rwu5cQu4sdOFul3zuLlrHjU7hQTmU5nkQkXiAsriF1Aat4CKhIVUJiygPM6F4miHRhDhxNVwJzJCnUkLdOaC7/sc3f4ev0Z+rmpwWEzjfwUR/AcEFNnfaMUhtcKQUtvNApbnvBnrwTpcw3jHRZ43HGboWhzDFWEMFftzP9+bvlwPOtK3oLuwgcZzG2i+tB19mg9Nl3wwpntxN9udjrRNGC78SMOpb7n585dU7l+lnHqVB9Zy7eBX3DjyNfWnvqbl12/Rn1tH5+Xv6cnYqLSEobxtDBe4IxWCZJHPUO5WHkjVG1krXx7Es8ownl2L4GlFGE8qglUhkmflUhPAi8el7gwXb1Oe8gf52xjKd+dhgZcDHjyU8xa6qyo6I9lu3M9yo+vyJupP/UDxgR/I3LWBjL2+FJ1IpDnvVx7pbzJ2vxvb82FmR59hm3hNf2sLbbdrMNRVYairoaqkkKrSImrKS6irLKG57gb9d9u5295IU20xl47Gc3a3P+dSN5O1ZwMlhzbQLg7NzI08yHNTeRifF7nzKG+zysL0KH8TD/N+YlgRwkaeFGxWiVqfFm1G8KRooyKKkYIfmcNw4Y8MFsgqwmAe1+7gZcsvjHXlK5PgWXuRyicgUYMvO67yqjOTV13ZjNSfoq90J50ZgbRdcqMz7Tt6MsWUW8f9tHX0XfiW/gtfM3j5awbTvmEg42vl7O1X4dlruK8iOqUIiSR1WaPNZGS8u5U4D/kuK0l/g/gYJNnooORCuLBCSyQrjkZZbi6rIsVPIMFB52VacCV951fS8cun3N63nMqkRVxPXkLTgY9V7EHbyc9o+vkj6g59QunOj8mI/ZBjAR9ywP8zUr1WsjvwG9L2+XL9UjQ1l6OovhRBXUYi+rwdXDsTzLn4dez2XMovAQvIiFhIefICqlOdqEl9n+pd86naOV/5BSqS5lMp/oJ4F5WfsCLBlfJ4V0qFCGKcKZbZAiGCsHeIwGeOCFbRmLcfi2niryCC/wAfgRDBXNyAZA6anX6G5bGByTtFvGo8zvOqGJ5V+POsdCtPSjx4mO/GQPZGBrI30Jf1PV2X19F2YT2tlzbTmuZOy0VPGs5t5ebpH6k8+i3lh76h/NC3XD/8LTcOf0PtsW+o/+VbDOe/o+vKjwzmbeZB/hYe5Lupcw8XbEUhfxvDglw3hnK28EDIoNiXR2VBPL8Rw/OqOJ5LTb2KKB6WhDJUFMBQkQ8Pi7yUMAwWbOVBwTbtc/5WBvO3KQ1FlSEr8GSo0IuHynQQbcGD/pxttKdtovbUjxQf+o5zCes5E7+RC6m+FJ7cQW3WObrrKnjcqcP87CGWF4+Yfv6Yl48eMtTXS1tLM4YWHR2tbfS0GWlrvsXt6mKyLxzml70hHIpcz7mk9ZQd/p628xsZuOrGg9wtDOVvY0RIqWCbqpvwKH8rD3O3qPJoD/OkRNo2ZdY8LpCMzVt4WqThSbFoND8xUrCBh/k/8jD/B4YKNyifwGD1blXx6XlbNiNtJSqOY6S9gGFjFg9b0njswIP6c3QWJmK44k3b+Q3ckVyGudsZzHVnIGcb/ZkbuJ+5nqG09QxnfM9I5veqPNlgpiwP/oqBjLU8kCnMjLWMpAvWqLUf2voPWQMyh7U8lHoEcwVgZMrzqkyHav8vuR37xOy4skad74EEkKlcihIfIbUXxCkoswWf0f7zp9zcuYzyhCVcT11Oze6PqNv/ETf2fEDZLomq/ICM6MX8GujKEe9FpGxdTLLXCi7v8+RWdhKNufE0ZEVzOzuFa+fCOZe4ngO+yzno6UxBwhIqUxZTnepKddJ8apLmcW3HPCp3zqMiSaYK53EtaT7XE524Fj+f8rj5yiwojXNGUCKBRBFCAk6khziTFuDMBe/3+Xnbe5yLXEVz4UGsfxUR/JEawTvJQiUGwFGoWtn+qhy08JIEB6q6gjawTGB72Ytp6DajrVd4enMvw1LTr2gbz0o28rr8R56VSB0/N3rTf+TO5e/ouLge/dlvaDr1DbdOfke1qinwA0UH1lGw7wtKDn3DtZ+/49apjejObaHjshv3MrcykOvGw4ItDBdsVkI/VLCNoYKtaFsZybfxsMCBvK08zHPjgdQRLAthpDKSZ9XxPKmKZ6QyjoHicPryg+nN8aMnW9NEenO8uZfjTX+uNxJA05e7nXs527iXs5X7+e4MFHjwoMiLB4U+DOb70JfjSU+2h/r/7hwf2jN9qDzhRtbuDZyJ/ZZjkes5Ee9J+qFEKi79TNuNPB52NPNq6B6Tr54x/voFL54+ZWhoiHt3u2mpLiH3wlGOJPuzN+JHDkV8Q/be76n5ZRN3M7byOH8bL4u2MVy4neEi0U62MZS3hUdFQgra/seFHozki3/Dk8cF7ozkb0GRQZHMiLipOIgRcX4WbFR4mL+RB/mb6coLpbtiHwO3zzLYmEZf41UGdJkM6NK4K/PmFYe4U3mUOxUHMeYl0nzJh5ZzP9B1cR0DVzfwtNCbkUI/Hhb4MFS4jRExoaR+Q84mnuRuZCT3B4ayv2NQ/BBXv1SjumQPfpQh0DQBWQCm1YiQrcM8SHeEhYuwqxoSEjgmJsNaBkW7kBBy+c3VL1WW4oFLaxHIIrJ75z6l99xn9JxdQcfJFTQe/JTrO2Qh0zIKEwSSn2AxaVHLuBy5RC0tz45awMWQhRz1XcyhkNUUngyktWwfnZV7aC9NpepyNOd3bGC/3wcc9XUlI3IRN3YupXrnIqpSXLmR6ERVopM2M5D8GxFcT5rHjcT5XEuYR1nc+5TEzaMkfj5lCc6UxDmrMGNlFoQ4cTnAifM+7/Pz9ve4EL0GfekxbOaJt7L4roPw3c9/bIYiu0Wr9jprVSmxVSQgovrbtbzqMlsg8QE2O2+mRpl91s14RyavGo/yvDaS5ze8eVq+mZGiHxGVc6hwC/fzPelM30b9L2JPf01u6kqykgWrKNjzFWUH11NzYjNN5zbSnvY9dzJ/ojd7M305btzLFhLYzL3MjdzP2cRQwWYeFroxkOfO/TwP7ud7cL/Ag/5CT/pkK6O0INddVSvqy/WmrziUwfIIhiojGSgLo7cgkO5sP+7k+HIn25vuLE86r3rQmelJZ6Z89+Futi935TdZvtxR333oyfGmN9eXnjxvenI96c33dsCX3nzZ70fbVS8aL2yl6uQG8vat52zCDxwM38ChSDd+SQmg+Pwh9NfzeTnUi800jnVylLaWegozznAgejN7w77jcNhXXEr8lqIDP2C4sIXeLHdGin14XOrLUIE3j4o8eFzsweMSIYOtjBS58bhkK4/LtvO4dLtqn4dFW7VjBVt4XLSVJ8VuPC7agpDAiNq3jccyQ1LkwYNcD5qv+FFzMYSGrDg1Jz506wQPb5+gr/oQTdmx1FwKoi4tiPorvjT8+iOtFzfQky4+CkkNv4mninC28qhoO4/LvXl6zZfHJUJKWxkRR232Twyq6cn1DF2VbNLfqGnNYZlezPyaoavfatOJV75h0AGt/NhXqgScEITKCXFplUpQIlGR4vST5CGSNk20AVUbUqoRXZYCI1/RdX4NHefX0npmNU3HP+fm4RVc2/cZBSkfkRW/nCuRixQBXIr8lDNByzjl54xkCMqKXcC50EWcjFhF6Ul/DEV76aw8jLFkH+dSf+RA4Kf87CvmwAKupYjvwZWKlAXKSXgtxVUFC1XGO1GZINGETlTEC+ZRmTCfa0lOlCXOpyh+Hvlx8yiIn0dxnGQwdiUtxIXLIfO5EODEOb/3+dnzPS7FfUnHtfPYzeN/BRH8gRqBZVqCYOwi+kr1N1mkxLPMDFiwWqaYmTHxZsakkoeO9ZTxTH+JkZpdjFRG86jcl4fF2+m5uhHd2e+pO/6dWheQlbKCq4mfkp2ygrydqyg78DXVx76j6cwmOtO96Mn2535BCP35/tzL3aaI436+l/Ip9Od50Z/rSV+OO/057ooABvI8uJfjRW+2txJOEdC7Od7cyfGiO9uT7kwPujPcFdqveGBI86Y904/O7AA6rvphvOKF/pI7rWmetGd40ZHhRXuaB8bL7hiveNKW7k1Hhi8dGX60p/vSnuZD2xUv2q94IudrS3OnLW077enutGd40HHVk64suQc/evMCuJvrT0emD/orHjRc9qb42DbS92zk16QNnEnaytmdXlw5HE72LwlknIjjcKIXeyI2ciRyHadivyNv3yYafvXgbpYvg3nePMj3Yki0kCI/+vN9GS7wZ6TIn0fF/gwXeStzZaTEh0elvjws8VXTooMFXjwo8ORhgac2PVosW3elNYlGMVLsqWZOZPZkqMCL7kx5dnda5TnT/bhfFMFgSRT9BaG0p3uhu7iZ1vTNdGS60ZXhRl+O+FC287hgG0/y3RgRkpZaf+I7yXNX9yDFYJ/I7Eyxh3LWPszdzIPsnxjK/pGh7O8ZkqAtiQLNXMfg1fXcT1+nCpD0S5GTy98q3JfZh0sSCi6xCRKEtJb7l9eqYKR7Fz6n59wK7p5bQfevK+k8/Rkdv6yg7cRKbdXkmS/Rn/6S5pOSpWgtN4+s4caB1RSkfEpGzAecDdaWMJ/wW8Ip/8VcClvIzUNSi0AWXn1E5q71tGTF0lq8mxsXo0jbt539/uJHWKKWQN/ctZjmfQuoTXWiOsWZqlQXqlOdubnDmepkF24kulCVJFtnric6c0M+p7hQmeJMSbITRUnOFCVIhOE8VeswLdSFy6FOXApy5ry/hCa/x+X4r+muSsNu+ZM1AptVIuFmVGFRs/0NUxaZGtRCYe22SVXH3fSyj5d3yhhpOEnftZ20ZwdiEDv//AYaz35H3c/fcP3AN1Ts+5bi3eso3rOW0v1ruHbkK2qOr6Pp7E8YLrrRmS5qtS99eQEMFATRl+dHT44HPaJy5whBeCthF4HvzfZ0wIN72Z70iOBl+ajRujvLm65sHzqzvOnMFMH2pCPdk440T1ove6C/7EVrui+dWQG0X/WjNd0bo5DAVW+6ZMTP9qM7y5euLD+6sv3pzg2iJy+E3twQ7uYEcyc7iO4sf7qz/OjO9KEr00dpDl1ZPnRc9VbolP1ZvnTL/2f705npS1uGN21ZvtRf9FAmQ8HBLVzd48aVHW5c3uVOxn4f0vf7cDJhE8fjfuTKjo3k7N1M7RlPOq4KOQYykCdmijf38324X+BPX74/A7n+DOYFIEVPBvJ81fEHBb4MFfnxoMiP+wW+ijAG8n0YyPdWpsyDQm8lnGLeDBa480AqPhX7KMgx0druZblz96qkFXfnfo4fg3n+PMj3UxqJVFi6l7OZvlw37uV6MpDviZqdKXRX/oiHOVsYzN6iHKhSN7I/z5OhIm/lexkq9GAwz00rDJr1EwNZEvH5PQOZ61W9wP6MdfSlr+felXWqpoHUNei5tA5Z/dcrpcMuShmxtdw9v5q7arsGSSnWdXYlHacl1fhntJ76DP2Jv6g8g01HP6PhyArqjnxO7WFZn/K5CiW/Jrki9q4iL+kvpMd8yNmQxZwKWswJ/8WcC15MTuwydCdXULX/U/JT/0LhgR9pzYmhISOWrIPuHI/6imOBy7gUsZQbO5bQuHcRDbucqE2ZR23KfGpSnalJceL2TidqUlw0wU/UCEGRQLIL1xURuFCa4kJRsotGBLFzRODK5TAnLge7KK3gmNf7XE4QIkj/K4ngD9QIZt68QWYCzDOzTNtmMdmEFGzYLGOYx4Z4ff8Wg81ZdJTsQp8ZxO1z7lQcWUfJ/i8o3rNKoWT3Wsr2fk3F/nVUH/0J/fnNdKRtoevqNu5muSu7WtKMK8ioLsjy4k6WN91KVRf13JvuTF8lfHez/OjJ8lWZiUX4NQLw505OgIZcf7rz/LmTH8CdvADu5PpzNzeAuzmB6nh3XiA9BcH0lYQrM6G3KJh7RcHcLw3lQXk4DysiGJLt9SiGb8QyUhXH4+oEHlcn8qgqgUc34hi5Fs1wZRRDFRHa7ysjeVARrs7RVxRMb0EQvflB9DhwJzeI7hx/7uQJufjQnuFDa4YfDed9qf7Fi4qf3ak87sH1X7wpObqNkqNbqTnjRf0FbzqyArgnJFAYQE+WJ3cFOT705AdwNz+QnswAhd5sf3qy/JTm0JvjT1+uaFT+9OT4czcnQG17cvy4l+evTJreXIdJk+fJvXxP+gu86S/04X6hjwqsGi70YiDHXflj+q6K4080Cm8e5nuoGAwxyYYKt9MvBFMgmorAgwc52xjI3kp/5lbuZW6jN2u7escyQ9SnTLRt3MvazL2sTWq2417WBu5l/qgKhvamr6cnbT1307/nbppWNFT8SHcuf8/dy99puLKOu5e/4c7lr+m++DXdF76k8/xaOn5dTduvq2iV9OO/rsJwZjX602to+WUNjcdXU3dUqgytofrwGm4cXkvVka+oPvqNmnkq27eW/J2ryd2xivS4T8hN+oiq/X+h8+wabh5aScnulZQe+pGmtGCKfnbndOwXyi9wJXIpJcnLqN+3mKa9LtQm/Qu1Se9zM2U+N4UIkudxO2XeWyK4luDM9SQXqpJdue4IKqpMdaU8xZXiZFcK4yWOYB7ZEQu4KpWOIlxID1ugtILjXvO4nLCOu7WZykeg+eze9Qr8/vMfGlA0M2tXpcatEh9gt2IzjzH1qo/HPTfprrlE3ZUEyk94k7f3e3J3f03uri8p2fsl1w99ze2T69D9+j2tF3+iUwQ/w42ebHfuSYcQdT7Pk948D3plmyujvif38ry5J463PB/6Cv3pKwmkvyRYYaA0lIHSMAbLwnhQHsZQeRgPKzSIvT+sBDeKkepoHtVG86Qulme34nh+O56X9Ym8rE/iVUMSoy3JjOtTmTTuZNKwgwl9KhP6ZKaNqZjbBDswtaZiat/BdPtOTO27sHTswdKxF3P7XsxtezC37sRk3MG0IUX91tyxG7P8tk1KeKUy3pLMWHMSrxs1vGpI5PmteB7VRPKwKpzhqgie1MYwUhXDQFkEd/OD6ckPVITUUxD49rP4L3oLhAj86M33oTvLQ/kx7ub5cSfPny4l6IH05gTSm6sJu/Jn5Pgp0+ROtqbZdGb50ZkZoGV0ls9ZohF505nlSVe2B905HtzJ8+Ruvhc9+do7uCd+jlzRsrwV7mb7cC/Pj/4CP/oKfejN96Qn14NeeW8K7vRlb6M/exv3RQtQ5psIv6eqKH1PvXN37uW5K4frvdyt9OeJ49WN+wVuDORv5n7eJoWBwq0MFLpp05iF23hQuJ2HRRpkSldN6xZt4VHJNh6VbOVhsRsPi7cwXCqxD248Kt/Ko/LtPCp3Z6TMnUdlnjyu9GW43JuhMm8elHozXOHPSGUQj64F8+h6CI+qwhi5EUpHxmZVotx4ag0dp1dTd2gF5XtWUrj7K4oO/sD5+NWcjviY02HLyYxdonIf1uxayK2dztxMeU+RQF2KixJ+cRRWJ8yjSoKIklwQX8E1ZRa4ck3FE7hQnuRKWbIrRUkuFMTNpyjmfXIiF5IZuZCMSFe1DFm0guPe87mS+B19t3OxWab/imXIf+D04Zs3ZpU+TJbNTo094UlfI/rK09y4lETeIV/y926gcO9XXD/yLbd/2UDD6Z8wnN9CV5p42MV558lAkSeDxe4KQ6WePCz3ZaTSn0fXAnhyI4hn1aG8qA1XeFkXwatbkbyqi+J1fTSvmmIZbU5kTJfEhD6FCV2KErJJXRJT+iSmDUmYWkUYdyghnG5LZbothen2FKbmIN9bU5mW37SmYO5IxtKZgr0rFVtXClb53p6ErSMZe6cGW2cy5o5ETIL2JCztyZjn0JaMpS0Rc1sC5tZ4bdshqw+TsCokvz2nqTURU1sS062JTLUmMdUWx4QxmnFDNBPGWCaNsYzrYhhtimS0OYIJXSTjLRGMNUcy2hjL6/oYXt6K5kVdJM/rInlaG8HTmkge10QxUhXFYEU4g6UhPCgJYbAkiIHiQPoL/blXIBqDD3dyvZEZjC5Bth9dWf4oUhDTKdubrhxPunM96c7z4E6+p0JPoQ99xQHcLxUtKZj7JSH0KTIOYbBMtKZQHlSEcL8skIGSAB5VBjNSEcSjikAeVQTwRAKxbgTxvCqY51UhPKsK5WlVKE+qgnlaFcQzhUCe1wTy8mYQr+uCGL0VzOitwLcYqw9ivD6Y8foQxutDmWgIY9KB6cYwTIKmEEyNoUw3hjLZEKww1RTEdHMw0y3BmFrCFKabw5huCcdqjGCqJYTJ5hDGG0OYaAplvCmMyeYIpnRRWNvisbQl8PyGL30Z6+k+t4a2kyu4JSXvdn1KdtIK0hNXcCZ8ORejlnM1dhnng124GuVKWaILNaku3Nrpws2dC6lJXciN5IVUJblSm+xCdbKrMg00p6FGCkIIEk9QnuhCaZIrRQku5MfMpyD6ffKiFpMZtYirUQtVOvO00AWc8HYmLekHBhoLsVlk4d6/H2T8h2oEs7PTvJHiopYJJoda6L91loYrQdSedqf2pBsdaaIauvGk0osXVcG8qA7hVW04Y7cimaiPYrwhionGKKaao5hqiVINPtkczVRLDNO6WCyGOKytCdjaEtTW2hqPxRiP2RCHqTUeU0c81q4k7N0p2LtTsXWmYG5PwtqeiLU9AXtnIrPdScx2iWAnY+9KwtqVgKUrAXNXPObOBCwdCer3to5EbO3xWDtisHbGYO+Kwd4Zg02+t0Vja495C/lu7YjC0h6FuS0KkzEKU2sUFoEca5ffR2Frj8DaGoHJqMHSFqn+x9ouv5P/i8Rk0GBujcbUEcNkqxBBJGP6cCZbI5hui8LcIdeLxtYZhbk9EjmPrS0Ge1ucds/qeRMxC7G0JmEyJjGhS2S0MY7xphjGm6IZa4hkvDGS0fpwXt4K5fnNEJ7WhvLsZjhPa8N5IgRSHcXj6kgeV4XzuDqMp7UhPFW/C1bbZ3WhvLgdzut6OY+cL+rtuUcbftsn73CiKYqJpmim5V3KO5V33BzFdHMk07pITLpoTLoYdXyqOUZ7/y2RTDtg0kVgMURiNc4hQgmrxRCOxRiGtVWEV45FYTFEYzXObkULAAAgAElEQVREYdVHYTNEMmOMYMYYjt0YiU1+Y4jAagjDagzF2irQ/t9iDMekl/OFM9MZhsUY5EAwltYQzIYQpvWyDcXeHqkwftNLLV/vPvs57cc/of7AR6qQaXb8cjJil5IWuYjsmEUqtdoZfycuhziTGzmf4hgnKsUHkLqEyuQlVCQt5kbKIm5JiHHqAqpTFlAlx8U0SJKpRReuJ7pQmeSqtIKSBFcKJS9B9DzypRpyzBKy5Dqxy8kIX8QJHxfSUzbwUF+BzWZRK/t/bwz8/tsfSgR2CQ6SwplTLxjvraD/+h46czy4m+PJYJE/r2tDmG4KxKoLxaqLwqKPwmqIxWaMw2qMw9Iar4R8tjOJN13JzIqwdiQy48CsCHKnfE9QsLcLKcRjbY3D0hajCUhnHPauBAVbRzyW1ljMxhgsrdEOAY7G1haLtU0T6LfCKwLWpgmkEvS2GGxKiMOxtodjbw/H1haBrS1cdTqbMZzfoUN+F4alLQyzMVxBOqf8j71dIOeQDheMSR+kYDYGOzqidk6TPhSB2RCGRYTeGM2EPpqxlkjGmsMY14UzZRTyiFEEZW6LZtoQxbQhAlurnD+KmQ4hqFis7XGYjXFKC5F2FQhhWuXZpS1ao7Tna4tWBDSli2BShNEYh8kYz5Q+nsmWOCZaYploiVHHpg1yXLvmlF620Zhb5XxRSsDsrZHMtEUhW6sIqC4UmyGcmbZoZtuimWkVxGFXpBWj/k/+1/JWuKMw6yOx6DVBthhE+CMwi3AatFHa1qo9q1WE3xiKxRCqtrbWMNUGMpJrgh6ORR+u+ppNH4pNH6LuRd6Z1RCKRR+M2RCkYDFoAm82BDOtk3cTiMUYyLTeD7PBH2trINZW+U0gJl0AZr18D8HWGsxY1VYG07+k+/RndJ74mOaDH1C9eymFyUvIT5LEIYtU2vG8SBfOB4kN70Jm2Dxywt+nMHo+FcmLqUgWMlhMVcpC6lIXcDNVZhMWUJMsQUYuCkIKgusy3ShaQbwUNnGiIFqWI0v15CVkxS6iIP4DrkYs5rgQQepPjLRe//OJwDQzq5Jm2MceM9qRzeB1icbbzlSjH3ZDNNNNkYw1+DNa78e4qGdNIUoNk84sHcxkjFFCazXGYGuNwS7oiFeQ0Vkggm11QATa3h6nQQSgM0qNzGq0VIIsnS1adSY1coiASQeSTuWACN2/xtwxqwh7mwhvKDbjHMIUAdgNYfwGEeRQrG0hWFpD1TUsasTRyMIunVRGH6PW+aSjTUuHMgSpDqWRhOMcrWGKOGY7o7FIe+hjMRliMOmj1MhpMTqIrFXbPyWjqC4Ssz4Ii0HOH8pUSygTTSGMN4Qw2SQqbzhWfQR2YwRmnXwPURCBEAIRYTLrpW0imemIZVbItD0WW2ukJmjqnsKY7YzgTZf8RghRBDKCGSEfYxh2fRA2XSAzhiBmjYHY9P6Ym30xN/upY3Z9CDOGUGZbI7G3RijISCztZRIB1IcwrQvGrAvRhFfaT4Rc7k0XpCDCK7AaZFTWhNhsCMTWGoi9LQh7awh29a7CsMmzifDrghXk/uyGEAWr/K8Iuwi5MUCDEvZAzIYATHp/plt8GW/0VluLIQCbEIEccxCBkIBNH8jryk2qfF3PqU/okRLnR5fTeHAJtfsXUbtvCbW7FlMW60JuyHyuSj2LqAVkh75PdvD/q9KOVSQtRFCZtEAb/RNlFkH8B64KNaIRJDhrECJIcKFcIgpjnSkU0yDmfYrilpMXt1RVVC5M+IirEUs47uNKespGnrTX/PlEMG6RqcJZ3pheYh4s5kVDPGO3NjHVsJ2p+mBe3QpjtDmUMbG3GiOZaI5iUhfFpCGKSWMkU4YwptWoGIJprlO0ah1fhF6N5A4SEIEwC4HoIzHpIzCL2tgWoYRQCbZeUyVtRm20kpHAIqOtdLSWMNXZLC2hmHRyrRDMesfoogQ8HLshQsEmndwYhk3/G+wy0sg5BM1hWATSYZVAhShhM+vCsYnwyWitD8MqKmVLECYZcXSBTDUHMN0iHTJEU1FF7VS2qnR2IZ0wLDrpvIHMGIOYaQvEavDDovfFYvTXRjKlUYQpspppD2amQyMi0SrEvhXhFhVY1OJZYxizBum8ci+hWHQyQoZiN4ZiaglG7GVTi7SBjObRajS16AMx6/yx6v2xtwYw2x7EbHswNmMQVkMwVn2wOodcY1oXwpQ8j1yjLUSNoPKc8oxyzKSTtncIp1GOB2NpC8bcGoTJEKighNoYzGyrEEaIem67MVBdX+7BJgJpCEDtM2qjtgizWeej2kV+YzUEIIJubQnE0hKItSUAmy6AGX2g2lpa/DG3+GFq9sHU4oVZ541Z74PZ4KswrffBpPfTNIIWeUeBDvIRkgrEJP+vk3sQkgnkdcUmBi+tovfkx3QfW07bkSXoDy+m+cgSbu9fRM0OV0qinMgNep/MMBeVgbgg/D2KIt+jInYeFQkyujtTnjBfTSPeSpGZhHnUJDlTI1qAOAxj53Mt1okbst4g1lmdryhyPoVR8ymMeZ/ieMnivJwcqY6c+AmZDiLISNnIs646bDbrn2sayGpCKT02K0VGRqp41ZjMxM2fmLq5lYm6AF7fDmS0KYDXjYJgJvXhTDSHM9niIABDMFO6AKWeiYo2rRNVOVwJucUY5VBpZZSPUaOlSdRTneZPsOgjmRH12CCjgQh6BFZdJDYH5LulJQxzSyhmERJFNMG/JwIlOBoJzAgRiJqpVNAwLDJi6kSARK0MxyzOJXEsNYcx1RymhE4ETzr7dIvsC1XH5TemZhmBxSElHSkQU3OgIgWLToQpBNm+C3VvLcHab2Qkk9FHIEJhFE1CRi5RVcW0EKESbUNUVVGXwzDpRTCF5ESwHVqJ2Mhzo6xeTLMQRGW2CylImzSFYGkOxdoSgbVF2i3MMZoGYRUh0gdiNwZrkJHVMcILyYj6L+SrmTWa3W0xipahkawyeRQRyDWDsImgytb4DmSfIRC7wUEERiGwUOyiFQhZyugumBvVHfssQrBKUwhRBCrvae49yLtQ781BiDZdEJZmf0xNvkw3+igysOj9sBkDlEahjfoawdjapa2FSCOwiXNQJ31Krh+EXYhZ2l0XxIuKLfRfWkP3qU9p/3k5bUeXYji6hJbDS6jfvwiJFsyPmk9myPtkRTqTE+VMXpSM5PMpiXdSYcKlCc4qolAWHd3cMU8FGdWkSGCRswo7vhY3j0oFWWvgRGmMEyWy8jBamzUojltMQcJylUm6KGkFmVFLOeHnSsbOLbzobcZsNTGjQv5/7xd499sf6iMQv+TM7Awz9glsT+p51biT8aqfmKhyY6LWn7F6b8bqPXnd4MVoky8mQxiTTZrXVkYY6egmna+y0UzSifTSuWSUkZcTjHSuOceO2IJm0QT04Zh02mg/Y3SMntJhpQPNCa5jNHpLAIYAzDKqGv0xKVVQ1EHN9rMYpAPIvYiQyagl6nsQViWEok4GoEZKfaC6z2l9IFOqIwapEdzcEsh0cyBTTQFvMd3ij0nnj1nvi7nFB1OTN7YWP2w6UZv9sep8FeSzXeeHtUVUal+lPYimomkrmlkjpo1oH5oGIqaAkJmozjJyyX2KQGjfp5tl9Jsb0UKUSv1WFRaVWEZPEXB9MHadqPayDXFAVGrZF4RVnVueW/4nUBMGQzAzhhBmRVhVe/3WRvKbOaj2kvcn+4RQRJMQgdRpn2VkVaOr0jCEIIRsNIEXE0AgJs/vIPa9PKOCZg4JEam2MYqp59DO1FYz/YSMlBajC8TcHIBJtY08v5BRCPY28TFIu4ZgNgZibvXR+po+CktzNJYm0QI1LWW2VYggSBH1k7It3L20hvbTn2E4JpWPP8B4dDnNB5dSt3cxZckLyIl2UgVIsqOkbqKLqlqcF+dMQbwzpUkulMt0YaoLVTucqdopSUlkVsFZRRzeSJEpRAkxFu1hPmWSlEQtOHJR5kFJrIQcL6Iw6QOKUv9CcdIqsmKWczJgIZl7tvF6oA2T1YT9zcy7cv9vPv9PIoIpbE8aedW8m7Gqnxh3EMHobS9FBGMNXow3iZobynRTMOZmEdwgZqRziuqrl04nqpiok34O1c1PCaHWkbWOpqmuor7K732xGbyxGWTrpzq5dD7lCFL2pCY02kv2x9zqp2Ay+mIy+mAyiEqowWzwwWLwwWr0wdbqi63Vh5lWH+xGgVzDR8Fq8MUiKqXRX1PZdT6YW7wxibCL6qnUTx8sSnX1wmbwxKpzx9K0HVuLu4Jd58G7mNtvbfZQhCMj3r+FZitrtvOc+i735Ivd6Ke2Fp03pmYvLC1eyGer3kfB0uqNpdVHg9Fb3b+0lwZ/bPoAZd9bdX5YWnyxtHgr9dkk5zN4Y1b/46PMFJteIzKtzbU2kbax6uV670K7tvZu51RsB3EJAYigO8hLnkm+m/X+SkUXNf338GVa93soghV1Xmx+g7/avv2sl/7jpwYY6S9iNmi+hjkiCVSEMufAle2U3p9JnSfTyrSRKccwphtk+lEzL+xiohiDMDUHqRwTdy6sfksExp8/xHB0OU0HllK3ZzFlSQvJi3FGCpAoEoh2Ud8L4iREWCMBCRu+IYK/U4jAWYsydBBBVaozN5JlncF8RQSlkpBEfARxLg44UZywmKLkDylK/YzilDVkxXzAL1IAdZ87Yw86sdgsf65GIIaIqCAz9mlsz3SM6g4wemMToze2MF7jy+gtT8ZuezB5y5Ppel+szUGYGwKwNAaoEdKuk5HSE2uzD5YmP6YbgjA1BmGW3zlgaQniLZrFBhR7UNg5AJPYfmLHiaqtnHUyXScmhUB8CBrMrRFYxEmmRo8Q5azSHHj+TOsEch4/RUJWvZ8iJ7veF7tO4IO9xVfdr7XFH4FF7OiWAKy6AGWbyv3MOam0rdaBRAOwNXtjbfTE0uiptrYmL+zN3grWJq+3x2T/jAilUmcDlNNNHG+i2mrXlc++mJukHeWe/JjR+av/kc+2Zl8sjT5Ym3zUZ1uzH9ZmX6b1Aj8Non2JptISoGkUarSUETMQU1Mg043+TDX5MdXsx1SLH1MigEowRcOR9g7Q7HD13PLs/32InS4agZCz+l+H002+i+NO9onmJNC+aw5VcarOYaolgKkW/99BaT1N/liapa2knUXD+Q1yT3LM3CS2vZCE5vgT56JoeeIYlGebaPJhosmXKXn/Bj+mDV6YDTJrIP1NBqtAzE1+mIUcRWvTBzHdFMRI4Ua6f11F+y9S0+FD9Ec/oEVqLu5fSu3uxVQmLaQobgF50a7kRcvcvzOFsS6UxLuoeAIJG5Y1BLLOoEbWGQjELJiD2i+/0cwHLT2ZRgYycyD+heJEKc3+kZZCP/ULMmM+5JegJeQe9GJy5C5WVSX8/y+O4A8MKBJ9QxUvsVuwPW9j1HCU11VujN5wY6zah9d17ozdcsd02xNrgzc20Qrq/bA0SGcWEvDA2uyOVUYyseHqAzE3hGJpDMPSKNsQB4KxNgVjaw5SsIutLeqxqME6GUFFzYtmpj2Wmfa4dxCLXZyOrbKVWYlobe5ZZhDE5lSjk6in0mnFSeaHjIzWFj/sLf4OzH3WOp3YvKLOWoV8WkIcELs7DHNziIImVAFMNfhhafLF3uyDtVEIQQjAhxkRYhHeJm2f2t/iq7zv4oEXc8HS7K1g03kzo/fBrvfBpvPB2uKt2m5GF8CsPpBZ0azEmdXijwi/um/57tgnwqA0KNGiBA6nmpCrUtkdRKuIt0kIWNpUG0WVUChbXnMUyjOLuqy26h1o7WATJ+JbaLa95rEXzc/RtkKKcw5AZR7NaSC+qu1FQ5ibJZjbzvl13t2Kb0XMGsGMPlhhVkwWB2SfMnuU41DOLVqTP7NtAcoBKlqdOBunWryVpiGOWEtbAKY20RoDlNNQmYV6IXw/BwmIZiHabIhakdn962o6Tq1Af/RDRQKNB5Zya88SanYt5lrKYsoTF1OasJDCGGeKJJlIrLPDQSjBQjLia4IveQrFT6CRgIvaLwQgWoHkLlRpzOPnq1TmohX8RgRLKUr5mOIdKynZ8SVXo4UIlpJ3yIfpx/0qDb4UD/r3/v5Q00AjApix27C/6GKs7SSvqrby+oYbo9U+jNa5M37LHXP9dmwNHljrvbHU+2Ju8MHc6IW5yQNzswemJi9MjT5M3Q7E1BCMqT6Y6fogpusDma4PYLreH1ODP+ZGESxNUOe8wUIGItTi6FNz2m3R2N8iCpvMeRuiVaCJTQJLxJEkMwnKq+zvsNtF0DTVVjqJ2WHD25QmINqALzbRAkSQHOqmjBCaw0+cf5pTUXwSoj5ONfkz1ejLRIM3pkYhPG8sjR5YmoT4vDQtQ8yHJk+1T7Yi5DMyYyC2tfgMmrwVhBDk2BwJmJu8sDR5YWvx0TQWUdd1co/adWxKi5H79dGuK8/S8i609hOym9NwlJYjNrSMtErjcZCG+EccfgVFlg4NSNpcfBRzEPtfQZGkEOVvEEJS12r2wyZk5YBVtJ0mXwX5bFWzFUIaDsj/qTbXNDDRwuYghKL5V8THMmfeiIkToO0XwhFBFk3T0X52hwlp0Wnmz3SL4z0LEbQGMN0azLRjKlGZGWKyStupmQnxK0Rgag7ViODsarVyUXf0Q5oPLaNh/xLqdi9WeQaupyzmesoSriUvpkScfLEaJOdgucwIvEsEigQkS5EL1SkSM+Cslh4LUVxLljwFThQ7iKBY/AuOGQepBakRwQpKUr96SwT5h32ZfjL4H0EEWqESyb9vf93HRNcFXlZ78Oq6G6M1XozVbWfqlgfm+m1Y6t0w3XZXAj3VGMREYxDjjf5MNAUw2RTIZGMQk42hjDUEMlofwGi9P68VfHld78NovQ9jjd6MN4pK581Us2YTi3kgPgZx9qm5f4k4UxBnkuZEUp5lmTJUMwfSaaWjS+cTgfHCphd4YtF7MqX3Zkrvgzat5KP5K/Ti6PTDZPDHJF58mWMWx2KrNn1nlaCjtnAsAjVPLsEpYnf6aiNPixcTTR4KU81eKPtb5/1232STB9NCQAbNYTrZHMx4U4DWPs0BTMn0oy6QyZYAJpqkzXyR80yLf0Inc98CL6Zlakz8HeIH0Wv7rC2iRfw3IALhGPFkK1NsYoqorcNM0lRlaV/xiTgEUU2xyT39t6Dd59z9itlmbQnGIppGUyCW5iBlHspWvosNLrDIMbkX5S8Sn5EGjZRFYN+B+HVElddrpouYL5MtPm+hmTLyruR5AjA3ygAiMwdibmlmkNoqjVKcrOJ8DVVRraMNAYw1+DLR6KWmGk2ilUnfkmnXNomKDFOp3bpOrVS5DBURHJY4gmXc3r+Um3uWUL1DsJSq1CUqt4AIf1ncfMol21D8fCoTnbie5MSNZCeqkkUbmE9NiitVyS4qJ0F5/DwqEucrEihPclIJSaS4iRDBHAoTl1CQ/CGFO1ZQsuNr0iNFI1hGwVF/zM+H/0oi+ENNgxnlI5ApRPvoA6bvpvOqxpNXVW68rvFi/NZ2pm+LfezOsxubOBL+KQdCV7I/bDX7wtawN3QVe9XnVewLXc2+UNm3mj0Kq9gT8i4+Z2+ohn1hn7M/7HMOhK3kYPgqDkas5lDkGg5FruVQ5BccnEPEWg5ErOWgbMPXOLCag+GCVRwM/5xDggjBSg5GrGR/xOfsj1ilIfxz9od/zoGIVRyIWK0hcjUHItewP2I1+yNku4YDkWt/Q8Ra7Vj4KvaFf64g59gXttIB7Zy/37eS/eFyDTnfWvaFr1HtsjdsFfvCVrM/XMO+cGk3aTM532/nkXPNQe71YKScS9snz/jfh7TBu1jNgXAHIlardpW2fQvVbr/dz9x9/fe2ci7V1mGrORAm15lre+277FP7wxzvQ+79HRyQNvnXUO9i7v1IG//WztLe8u7U+4p0XM9xjblrzT2f3MvcZ61vfMmVaD81AI03eDLd7Ml0k7cykyTgTEzPyYZQHmT9QOfJz+g48akyDcRPoPv5Q5qPfED9/mXU7lxCbeoSalIXqwVE2poBCS/WcO0dIpgjAyECWW8gawtUYpIEBxEkOlGS4ERRgjNF8Q4kOFGQuJj85A8o3PEZxTu+4krEB5wKXkbRsUCsLx+p1AB/smlgwy6luKRWwdhDpnuzeFHrzYuqrYzWejJxazumenEGetFXuoV//r/+C//8D//C/P9t0d/x9zb4T9MH3vtfXfgv/8v/znf/7MF4YzjjDT6I6SDapgRjSZCaBLTJ4qeBq+vpPP4J7cc/xvDzB+iPfYjh+Mfoj39E86EPqNu1mJupi6hNWaTUfVH5RdV/ixQn5QisEl+AA5KYRJKSqLUFic5KIyhPnI+gONGJQhH+eMF8ChPmk5+0iLzk5RTs+AvFO7/gcsQyToUso+R4ILbRJw4i+PedBH9sqjKsGhFIQdOJEUx9eby46cvL6m2M3fRi4vZ2rA3iC/DhbvE2RQSr/48tuP9T6t/x9zb4T9MHfvrHcP7xH/7RQQTRjNWL6SVEINOTkSr0XcLgX98KYuDqOrpOfEz78Y8cRPABhhMfYTzxCbqjH3B792LqdiyiLnURN3e6Kki0oYoVkHiBdyBZitR0oVpopOUhuKFqGjhTKWnKxEeQ6BD+OCfy4+ZToIhgIXkpy8jf+elbIjgtRHAyCPv4My3I79/nAf5gZ6FNBRRJpeOZiUeY+wt5edNPEcH4TU8mHUQw1ehDZ8F2RQRf/5/eBPzfR/6Ov7fBf5o+sP2fkvmnf/gnRQSj9dHKH6URgfieotTMk9UYiyyJHry6ju4TH9Nx4kMHESxXRNB68hNlKtTvXUzdzkWKDG7tWkDdroXc3OWqULfblTrH55pdrlTtkKAiTRsQjUASmlbvWKDSmFUmO1OaOEcEog04kx/nREGCE3kSq5CyjIJ3iSB0OaW/BGOffMHM7OxfEWL8B/oIhHTEFpmVZKWTTzA9aOFJTQivqzdhu72ZyZtbmGz0xdTsR59DI/g7EfydBP+zDQTvEsFrCYGX6WwJQ+6IwNQazrSslmyN42V1CP3p6+k4+SFtx4UIxBxYTsvhDzAe+xTdkQ9pEKfh7kXU7FzIrb1LuLlnETW7FiCCXy3Cv9OVG6laSTNZYnwt2ZWaPYup3buYyhRXVd1I9smaBDXTkOCi9knS04I4V7JiFpIft4Ci5GUU71xBQepKzgW5cCb0UyrPx2O3vuLN7MyfnI/gjTZrMPtmhtnpp1iHjWp9+2iNG9bbW5i46cZEvS+mJj/6irb+XSP4uxbwn0YLeJeM3iWCUbUWxlsRgSxBNxl/I4IXVSH0pa2j/YQI/gcYHNOHigh+/kQRQv2+JW+JQCINhQhqdy2gdpfrb4Sww1UFFUlpsxspcmwxNbsWqZqHQg6St6BcpgtjnSiLl1qIUh9xAYXxC8iWpcdxkrFomYoszEtewa+BLpwJkwKo8dgtfy0R/IEagSKAN2+Q7RvzC+xPOnh+O5rR2m1Ybst6gy2M3/ZWCz76itz+NCIo2FvHHM4EFBHuckJ1wKD/5ygHfsx4e0x+Ezb/+N/cOXd+eYmslGp13nc72B/1efeXl9+eP+bDU2/vd+dauW6Vum7EQu0Z/6hrynlC5h9j7/orXIwoI2/3TXWdy9EV7Pn2ytt7+B+9XuA/HyH249NELf3lbz7X/+g9zP3f74igJUJNRYpGIEQw7SACS2scz28EcS/tW1qPf4D+6HJ0RyS0eBkthz7A8PMnNB1czm3RAnaL8C+kbvcibu5eSO1OV0UEQgaKEHa6UpXqSlWKVDuS4wupTl1A5VxWIrW+wEklM1ErFZOECBZSlLiQHFlwFOdKYYLkQPiU3MS/cNbfmV/D/sKNiwnYLa//fI0A5jSCWd5YR5l90cOLxnhGa90x1bkxXruFsVteTDV4c6/wzyOCdyOqBrpHSPn8gups4c4naCrrfPcwccvO/M0d8VJCGZOj0+q8c53rj9yeDirk5ZMxdf7LO8rf3m/OrhqsZitjLyeJWHTy7f4/4tqh849xIaaU/rZhJkaneOOYj5oaN1GbZvybr3X9XDNNZV0c9875m8/1tz7vu0QwLqtbJaZBlj07zAKTLI1vj+Pp9QB6Ln+N8ZiQwDKaDi6lcf9Smg/K94+UWVC3R4R/kaYJ7FigliXPhRPXOBYYVYuTUMUOSGaihVqqskQXrkl9A4k5kJWKstIwWit6WpKwQK1hKE5aTH7CUhXCXBi3hIKEj8mO+4Qzvk6cD19BzeVkZm1jvJmxv31fv+vs73z5g52F7xLBOG9e9/NCEnLWejDtIILxOk+m6r24V6hNH/4ZPgJ53tlZWQMxi9Vi47h3LoH/fJSYpad59XQMrRS7VGbiDyGCmGWnOfj9VY78lP0/pVMnrznH/Y4Rdb9NlR3qGlFLfuF2XpuqJNV2qxfRdv5WgZj7/8D/eoRDW67y8tGosjX7O4e5nFDO0Z+yqSswUvTzrb/5WjarndEXE5yLLP6bzzV33/+j239LBLJGQVa/io8gGkt7LPaOhH+fCA5/RP0+WXi0SC0+Un4CKWum1hY4pgrVgiKZTnThmgh+oivXExdwXbIXx0kOgvlUxmpEUOoggsIYF4riF1CctBAp216YuJziOFnPsISC+I/JivmY0z5OnI9YSW1aqoMIZv5sIphhVhYdiXlgm+bN+DAvmnfyosabiRo3zUdwy4vpek/uFWz600wDkZiJ19M8efBCCc+1tCaC3/uZX6OLVMd++XQMgfzNaQSJf/mVxrIOXoyMMvZ8EkPVHY54XSXpL+fo0T9gatTMpdhygv7lKIH/9Sh3mwd49WScq8lVnIsq5tmD1+o30hlPbi9Qn28VtHE9rZkXw6OMv5ji2qVmwhdpKvzeDVdov9XHxMtpGks7qbzQpP6nuaKLiIW/H92FxG7ntmO3zzA1ZlKCs+OLi+q+5BkuJZUhwiv3LNeSe305MsbNPCMh7x0j3PUkTeWdPH3wipKz9Rhreph4Nc1wz1O8vXIAACAASURBVFMuxJb8G0EM/pefuZlrUO3zdOglR92y3xJN6LxjhLx/TP3PznUXqcnS8erxGBMvp+hs6OeET97b813eUcbDnifqfh71P+ekZz7pOyoZezapzi0JNi3TVm7ltbFj3QVqs/U8GXylfv9k8CVng/4ckvg9EUjOC1ksJZGpkpcyDltXosp3+eSaH3cvfYXx5+XojyxT4cVzGkHLWyJYrIhA/AO1O1xVjcO3MQRCAJKtOMGZMll/EOtCaawrxZHzKI18j/KYeVQIEcQ6URrtTHG0M/mCWFcK4hdSnLSU4qQPKHUQQV7sx2REfswpr/lcjFrNrau7mLVPMDvzJzsL4R0isJtg8gkvWvbyvNaH8eqtTNzcyuRtjQh68/9cInj5eJTOxn4sJiv3O4eVL6CtrheL2UpXUz8j/c9UZxQiiFr8C/e7h5Wm8HzkNc8evmLGPsP0hJkzUQXUZBnUdIyh5i7RS06R8uU5h5C8UqrtvzYNTnsXqeOmSQvmaYu6B+n0k2Mmru64gQhaR819xdpWs43xV9NMjZvV/8joHrno39rNmbtuMD0pSSnfcMQrk8Mbs3g6/JLX/x977/0W1bkvbr9/wntd3x/ets/3nJNzzi7pCtLUWGOJLclOsRew966o9N67INh7oSq9l6H3NvQZYBhQUUBUygxwv9ezRgwmBsnexr2zw8q1MsNaz6y1ZlzPvT798/AJ9ksvSZOvt+sZjeUqmirUkqoixubElnPMOJDSzFpJOhITb6BPg3gii6Wt/iFC4hj7ND081Z/munZpf/qtYo7+CExirMPXF6ktbJZ+s677T2itu49WM0SnuovTOyI4czhCOoeAl6KqjbaGh1w/lcSFk9FUZjdKxxbX0NbwgMiADIqSayTQaQa01BQoJUgJu8TY6/q13v8YBCI1WUQTiiAiUQRXU2WDptKG9oRd1Fz6UlINROqxyDMQIMjzmE2B19wXEsEPIMgQRkIHYQcQqoAIKtKBIP6FIfDeCUOiTxoRdVxPqmAUKyBgMY1YkZ8gEpYEBMwNiBBjrKZzz1aAYK4EgqhTnyGBwHw+QQIEJ5Yju+XCsPbpPwAEI1pJItCOiMSjQalkWWexBw/T99CTupmnmWY8k+2gL3sbdRHr36lEIECQeruQdkUnWo0Wl2+uShO7U91N3JWcV0BwzTleujEVFWpcv7vKsemnqclXSs1bC+OqObMzEjHJ2poeYDX/HCm3C6QJWZHZiPmsIH4OBM+f9BF9RsZZ86iX0knmtTICdoUirkMs4glps+g88nyF9PfPgcBuxQUeqXskIMWez+bCkVgERAScTs4O5uBUP/z33sFz9U1814eSeatUApBmQPMSBOIEQsW4aBlDhE+6dL7XieeHpwagVjyU9sf45Uhq1Y8n4U3bZOn3FNA89XmwdA5ZRLn0mayIMqKCM17C9IJ5NJ4bb2LxefDLiS0Gjj13RUqj9JvWFinxXH0Lt9XXsFz499tvfnzdr/t7LAh6i0Q1rEO66selpxDVrbXVNhIMVHHbpR6JQiIo9hNuw9lSwpFQCXI9ZiM8BlmuOk+BUA0ynUUMgTGpDsI4qEs/lgqRitoEJ6YRddxQWiOO6RFpPlXnLrQUSUo6CESaiwrIBlJKc5SlCTG2s4i2nUu0hSiQ+hlhpz7nuvnnnN4xjUsnVpB9241hrWg1+K4lghGtFLwgGpxohYFisJdHZX48FLXoU7fwLHOzBILnsi3Uhq995yC44ZxIRVqDNHnqS1uk14ZiFefM774CgsyoEukGzg2tenmj3gvJkra1Vj/AbvkFaaKKiedjepv7rY+kp2p0ULY0/udA0FSlwvaLC9IYWXSZdDwBgnPH7tH9UPSnQ9onrPP3Tsukv38OBOIGrs7RwaK2uJnkawWSDSTMI51Dev4EH4qkobxVsoEIlUg8mcXTWCyjEoF4fy8gm0N6ftJ5xd9jJ+PoJBGif22xUvpsXnSVBJrRfaOvsf550v78xKqXakPI7nvSNnmhgtP7w6kraeHJ42eSpNBS18GlkzEI1UIcQyxjz33VKp7mmnae9jyXpCjxXS5bxnHE4O/36oxe88+9vgTBx9t4VmIheQtEBqtGVNmusGFILnpRWNF8dwsVokuSBII5FPrMkbwEWS4zyHabJaUiSyB4EUeQ7myCaG4ixQ3Y6WIHREfje6emESHqGh41IPSImOii6tA04myNpAxDUbY83Hya1P789hEDwsyNuGs5gzi7OdyzmUe08BycmkXoqc+5emw+/tv0uXDiS2ShHhIINFohqY8fWvh2jYVDovehFgkEIppJ+5zHFQF0ioYUoyDI2sazLDNqw9a8cxCcORBJTGAOA/0a6cYTomvKlSK8N916BQRhfqnS/tq8ZuyWXOCIoT/FKbXSE6o8rV6aaDGB2dITtjilRhrbdb8Xt7XXpJv650AgJoSwPYgbcCwIAveGv/QCBO6JwHL+WUrT66TjjgeCCH/dU/xZbz8tte3SMfzMdFZ3IWILUTv3XiXi+MI7MjigE//HguC2bap0Pa+bjKMTRRgew7zTJLFfeCQi/TIlV9++D32wWX4el2+vcMcpTfo9mmvbJanoyLQAEs7nS99BnNtm6Xmcv7/CxWOxFMTIdd8tsx6rBWdfguDJ46dcOhUr/W0+Jwivjbe4bB5PQbxufHW+ArtlOo/P6LX9Gq9jQdBXZslQhSjTLupYWL+UCAbLLFBEmlEW8gXFvrOkqEIBApF+nOE0HZnrZ2SJ8GKXGVIwUYroVeBoTIqD6IKsqy0QbyMqDYneBNMIO6bP7cP63D40DVG9KFpkHzqYSM1MIk8KCOhz+4g+Nw/pc+eYIVEWM4gTGYfWc7l7SvRN+IzbJz/n8rH5+G3T5/yJL8m644F2sJfBIZEM+CYQvMU4AhHBNCxWEUcwooGh53RVXudRlgU9KRvoy1pPT+Y2ejK2UhO6mo/++F+8K6+BUA0ECC4cj5bca+JOfP60n4A9oT8Bgc3i87QpHkg3dk2ekvK0BiT9/tkAZ4/flW7UgB2hCMOZ0GHFUpZeLxkgxY35S0EgbBI1uc0SaISK0FjUxrMnOvfjeCBw/PaSdG6h+wt1pyKrAZsvdPr9k0fPpInbIu8g926VZOcYdfn9UhCI72S96BxFiXLpmL3dz2kqU1Mja6a5uoOM66W4rbmGorIN7aAWeY6SwrgaxDjxlL9wLAbvbbeoTG+SVBRhbBVLUbIci3k6cb/nUa8kKTSVtXHZMpboM9kUxtSQcatEsj2I8eVZ9S+/368BgNFjjoJg1cfbGSi31tUyFI1pRLeqKmc0cjcGyuxovLOektMLyPeeSaHPZ+R7f0a2+wwyRFixWF+4DkUkYYowFEouQhEgZCAFBolyY1FC7z8+jVDR6+CwHmFH9KVCpWm2oi6BCfGWRtw7ZUio+TRuHtXj+lE9bp80JMJqOndt5xFmvYi71vOItJ7PHasFXDw+G/8d+ly3XknhvTMMDfaj1Wokr5n0o//M/96qRDA8PMKIVCRRCyODEgh6qiN4nGVHT/Ja+mVr6MrcRnf6NuSh/xiJQOivbbU6fVfd0MmhqX4/AYHwArivvk5VfqMEC+FyrCtr5qJl9EsLuRCXxY0qXI8CtqHePzxZfykIxA0YsDsURbVagoEwXFbIGqR/svFAIJ7UQt0Qi7iO+MC8l2L5Bct7tNR3SMcT1y/Uh9HYhr8FBMJTYTE/hAjfDFrrOyS9U5y362Ev8SF5HPjED99ttylKkUuivGZQg5AOrljGI4yN505ESSqUkMKEZKKUqzm9M+zl9V5ziqf78VPJYCovUCC+tzCmivFCgqspUuK37Qdvxeik/TVex4JgULS3E0VNy4/wvMKK59VuDMi9GCxzoPH2ekoCF1DgPYMCn5nkec8kx3MGWRIMdLEDAgKjNgGp3bnU01B4Bwy5Jya0qGp8bBqhR/UJF7aB4/qkWk0j286ATFsT4k8aEX3KmDBR9/C4HteO63H7lBER1jOIshMNWJdwz3YBd0Uwke0Czh2bgd9OPW7YraEo+hzDGo2u6dAbi5e+VYlgBF4BQR898igey+zoTln3EgQ9mdupi1j3zlSDX+NmedvH9DC9jt1fLyAMcw4rLlFb0izFBKSHFb+MhHzb55w83uvzPH4MgqGyw2grj0sgeFbpSn+1B4PljihCN1B+ZoFUvrzIbyb5Pp+R7TGDTLfppLuYIGwCqSKX4EW1ISm1WDQzFbUGLXQgCDumUwuEaiBUBBFGnGlrhEx0O7IxIfaEEXdPGhN+0pBb5tO4cVyPUOE+FK5D+4VE2H5BtO187trOJ8xmPmePmOCzXY+r1qspiApheFD0NNDyTrshS6KnBAJhlBqSpIIndTF05TjSnawDgShX1pu1g4aod+c1+C3c8LdckiSru3jKClFfqByq+vu4fX/jpQ7/W/ge/wrXOAqClR9vo6/ESipxLqIKe0sseCY6XVd7MFBiS92NVZQFfU6J70wKfUelgemkuZiQKkHAmGR70dLcAFGARPQxFF2O4yxFKXJDqYZh2PFpiDXqpOhxYIjIN0i3MyZDRBjaiC5JJsRYTOeuhSh+Oo0bR6dyU8Dj1HSi7eYT7bCAeLs5xNjOJcxyDmcPGuG7dSpXLVaSHyFUg0GGJFVdFzAniY+v+d9brUfwAwjESYdhRENvYwJdeS50J6+nT7ZGqls4CYKfPol8zG6TeD6fouhaCu7KpffCiCliDP4VJtdv6Tu8DgT9JUd4XmbFgNwDba03A8U21F77jtLT8140NJkhNTTJcDEhzdmYFGEXkIyDOolABBElCgOgjaFkH7gr+hqcEB6AaUScnCYVJE0QnZCFa1HqeWhEis0M4i1NiLcyIUY0PbXQ5/bxqdw+pkfYSWNi7OYR47CABLtZxNjMJtRiDiH7jfDdMpVrlqsoiAxmSKNhcEgHg9fM/5eb3qqNQMpBHhE6szAYiifbMM+b0+gp9OBx0iaeZa6mO3MzTzK2Uhfx7mwEv6WbcPJafwrJd/2bjIJAZyy00zW7LT+BVu7IcL0P2hovnuacoO7qX6X040Kv6eR5mJDpaky682h6sc5LIIqQpIrQYnsjqetRvI0horORcAkKAESe0tUejLMRlYoFCETIsahhKCobi8QjnXFRlDaLs55K5KkphJrrSanHMfbzibb/nFihJlgJ9+EcQvYZ4rd5yksQDA9pea7pRzOkM2q/nPk/evNWJYKxIBgSdQlGoF+VzZNibzqTTHmWoQOByEaUh656Z16Dd30jTZ7vHz+Z/55/g7Eg0FY6MFx+gpEqS0bq3SS1oLfIgfb4PcgvLZc6GxV4mpDnbkKmizHpLqLWwA/SgABAmrQa/gACUW9QSAQWOgjEiCxDUb5MlC2zFxDQI1kUMRV1Cqx1nY6SbKaSaPMp9yyncMdcj7BTJtyz+5wou0Xcs5xFlOVswk7N5dw+A/w2f8q1U99LqoEAQZ+mH+3wm0DwnP9Yepf/48/r8hDr37VIYoBIPBpCOwwCBgPt+Twp9eNhkilPM1bRk7GZ7rTNVN9ZyUd/fO+duA//npti8rO/7Un9t/z7jQWBpkKA4CTDVVYM1brwUGaFIuYAFZdWUnz6c4p8PqPAUycRyFxNEKpBulANHIylJ7wIIxaJRmIVfRDjpSAhA6JfVCGOsTYk3lbYBgQA9EkSELCdSoqdHml2+iRaTiXJagopNlNIsplClMUUbhwRbkRjIm0WcdfhKyIt5hFhMZc7p+bpQGD2MVfMvyE39DTDWqEaaNC+y96HkgjwIpZAMwyDYn1YzJOy0zxI3MzTtNU8SReqwWZqwlZPeg0mC5P8U9o/xoJgsNxO1xej3IKBCgdUyebUhO2k4MwKcr1mku85nVGJQDQ9zXYT2YYmpDnqQKArVW4glSfX1R80QqgHIqJQ1/zUQDImilqFKbb6pNhMJcVGj1QbfVKFgdFSnxQr8V5fkg6EYfHqIVGQZAFpfqZkn99PjMNXhFsu5ObJeZw7YIC/2UdcOrqcrBteko1AlA58c2ThW3QfjgWBgMDA8AgDD0t5Uh70Cgh6MzdTF6EDQXxc3N8lhEx+ePIXeNu/QFtbGwZ6eoQHbGOw3P5FxywrtJVOdGZb0xx7iKrL31Mk8gs8p5PvoVMNcj2mSwbDLFcdCHRuQ+Et+AEEybaiHJkhcdY6GCRIDU5EyzPR00CPVCEN2OiTZjONVGsDki2mkWplQIqVAQmWBtw5asSNY7OJc/6eqlsnqIl2ItFjDWFWS7hxYh7nDxrgv/lDLh1dRtYNTwkE4qH8onzEz/5Ub9VYODIs9IEhRoaG0AgIDA0z2FXNk6pzdCRtpTdtlSQRPMvcSn2kLtdgEgQ/+28zueMf9AuMgiDi9Ha0lY4MV1oyXGnLcI0rg3JPnpc48iBhN1XnFlPkM5N89xcgcJ9OjrsIL9aVI5NqD7zoZCRUBGm1E+5EIyn9OM5KdDLSJ9VWnww7PWlNt9WTAJBqY0iarTGpVobSmijCjk8YcufYLGKcVlFww4YHJaE8KrlF6ukdRNgs57r5bM4fmob/1o+4dGw5suseDA0I+8A7lghES3QRZszwsJSpN6AdYqi/jSd1t1Al76E3fTVPRZGSjG3UhU2C4B90n0+e9g2/wCgIIgO3I2wEmjILBits6K+yR1PnzWCNF92Z5lSc/4Ii388o9J5BvpAGXE2QuZiQJbIMHY0lI6HoWCQkgiRrsYqMQ6EymCBqEYouRinWn5Bp+ynZ9lPItNVJAgmiQKmN8D5MJ0WKQdAn8sRUbh0TVYtXkHfNnorsOGorS1DlRhPnv5tI22WEnZjBhYPT8N76CZeOf0nODU+G+59J4cUiNmW85a1KBKK5iQh1/QEEwwwP3udJQxiqlP08SV/Ns/Rt0lp7Z63kNfhnlggePHiAXC5HvHY+ejS5/gv+BoODgz+ZHz+AQKcaDJRYMlBuR1+lPYP1PgzW+NCddZLyc19Q6PuZJBUUes8kz30GOW7TkYm6hKJ3gd0P62h4sXAJpjhMJ8nemEThIrTVQ0gBGXbCPmCABAFRxtzRiGzRJt1Gj+iTelzar0/Anulc8d1PSWY4jdnJlF+9SGXYeSK9dhBms4xw8+mc3aeH5+aPOX/sS7IFCAb7JAn9HYNAJwkIhUQYJ4RqMKx5RG/TXdSpR+hJW0Nv2laepm/ltwCC6HvRnDxxipSUdGTZuZPrv+Bv0NXVNS4IBsrtGSyxZLDCnueVjhIIBuTePEo3pyxkMYU+MyUQFHkLw+FMct1nSFKBVI3oResyAYR0EUvwonFJsr0xSQ5GEgxE8JBOanjhUbARHgZ9suz0yLKdSrJIU7aYxTXb77josYfIqCvkRt+mONiPHIujyE67EOa+g9vWy7lzzITgPVNwN/uIs4eXkXnNHe1gH8KFKKntP/mmP2x4yxLBDyAQBBoUINB206uIRZ1uTlfqWp6k/nZAcOvGTRwtj9OjrkXb1TLu2tPeQHJKOg3VZeOOGz3OswdN0viaipIJjR943CyNrygtmtB4cR5xPaVFBRMan5mZRUZG1oTGjn4HzYtzlJcUTuhzaemZZGXJJjRWnEOMTUvLnPD43Owc6TuPXt+bXgvzc3n06NEPs+HFu1GJICJwGxIISq0ZrHB8BQQPU45RGrxISjYq9JpJgdcM8jxmku06nSxnUYnoh2xDkXUo9TO0MdJVJbIzIFEUJhGVi22NSbExJkmUKLczJNrOgAzrKcisPyXVWsQTzCLebSXxl+1IirmCLCGa9EA/MqxPkGlxmAw/ZyI8dnPb5ktuHtWBwGPzx5w9soyMq65oBp7rKhQJ+904y1sFgWSdFOZJKQtRgGCEkaFnPGtNoSPLkkcpa+hO2UJv2pbfhEQgQOBsbc6z+/XQqxp3HZ3YTTXl444bPc7AI6V009ZVlU5ovOglKSZ2VVnxhMaL84jxZcWFExo/CoLR65vIq6hJKc5RWVo0oXOMgmAixxZjZC9AMNHxeTk6EEx0fFFB3rggCA/cRn+FI4NltmiqnOmvdkHTGMCA3Jf2hEMUn9GlIOd4zJAMhJmiFJmjDgIiiEgAQMovEPYBK12koKhRGG+jT4KNiBmYRrqtEVl2RsjEZ10MSXLWI936UzItp5HktIC04F1UZV+nQ13P/cZ6Ch0cyTx6BJmHI8XRtyi6dZGEoOOE2f6Va4dMCNk7BZ/tn3Du6DLSr7hIIBhn/r/c9euAYGQE8d+gUBGGB3jelsmDHHseJK3lcbIZT1I3U3NnzT+9jWASBOPD718dBBFB2xmodGaw3AGt3IN+uTtDiiAGqn1piz0ogSDXewY5HtMRLkOpcYnoWSD1NhQgMNZ5Cmx0HoNM55mkOgr7gKEEARE3kGM3jTxHA/KcDZA565Hs+InUsyDBYRF55w9Qn38bZX0x1YlxFPr7ITt6mNJgf6rSYqkszaPiXhjpF6y467SK64eEjWAqfjs/5fyx5aRfcWZo8JlUPvDljP+ZN28VBCKaUNQkEAn6IwzrQDCioa89l848FzoS19EpgcBsEgSTEsEbpYh/tEQQcWYHA1UuaCodGar1or/GkyFFsASCluh9FJ/5nFwvXbKRCCTKctUFE+mKlIr8AuE5EMVKhZRgQo7HLGRun5HuPENKLkq3nUauvR65DlPJdphKqv1UEu30Sfb4mqzz+5FnXkVVV0hNRio5Pj6knjAn19+TsuRoqmpKqaoopjI6EtkVB2Jc13HzyEzOCIlgxyecOyYkAgGCpwxJNTPe5DV4iwFFIqRYsk5KiUdaBkW5suFhBu4X01XohTp+LfcTN9GdYkrNHV2Fon9mr8GkRPA7lwjO7KC/2lVSC4brfBio9WFIeZb+Kj+UkbspDpxHjud0qQaBUA9yhI3AfQZZojKRk65jUaaTsBmI2IIZUr2CfO855HjOQ+Y6S1IHsh31ybSfKoUXJzjMItl9OeXhzjTlhdNUX0x5ciw5Pt7k2NtRFORHSV4GBRVFlNRWIS8uoPLuXXKvuZDgYcrt47M5vetTPLd+RMiRJaRddkQ78AIEPyMJjG5+qxLB60EwwsCDUrqKfWmLW0tHggDBpkkQTEoEvwmJoL/aDU2VC8O1vgzUCBCco6/Kj6aInRQGziHb0wSZCC32EJKBKFr6AgTOJlLnY5nLdGRSMdPp5HoZk+c9mzyvheR4LCDHfTYyNxEvYEi8w2ckeX1H3uVDdJTE87ipkppCGSn+nmTYW1J77QIdJbkUNdSSW1ZMSUU5jeXlyGPjybvhQYLnZm6bzyVg5ye4b/6QM4cWk3LJAW3/U+nhPL48wNtti/5aEAwNSyDoKQmgJXYt7Qkb6E7Z+E5BMN3QiLGrt6cnGo0GlUrFnl27+f7b70hPS0OrfTVDa1Ii+H1LBOFnttNX5cJApQtDtX701/gypDjL8wof6u5sI99/NjIPE7Lcfkg2kuwEzsZSvoEAgJAGhFQgGRKdppDlJqCxiFzvZRT4LiM3YD7pvvNJDVxJSYQ9j+vTUTUpqUrNJNvBhlwXCyrvXqWhtpSGFgXV5RVUl1dRXVVLXVklLZnZFIf6kui1ldvH5+G/8xNczT7g9IGFJJyzpf+prjvVm0HwFlUDXc3CESm6cGhEQ79wHw6PoOmsoLcsiLbY9TxI2EhX8kaqb7871aC+vh6xVlZWYrbJlMDTpyUQrFm1Gk8PD8LDw6XtYv/YZRIEv3cQ7KSvyo2BKme09T701fpJEsHzSm/q7mymwH82mR4zSBeJRq7G5DobSWuOs/ELdWCm1P9Q5vaikKnrdNKcZ5LiPJc0t3nI3Oci81hGztmdFCUEUVeaQld9CXU3L1Po447M142Su7eRl+bR2NyEUqmkrriUitJKSiprqKyoRFWQS0XMDeL8jnDJfDG+Wz7Ey+wDzhxcRMJZO/q6uxkWxrt3GVko2QeE63BY5BpoeK59AYJHlfSWn0Edt4GH8ZvoStpI5S1dPYJ3aSOorq7GdMNGiouLqaqqYtpUPdrb23ny5An79+zl2tWrEiBGYTAJgt85CIL20FflzkC1E9oGL/rrA9Aqz/G80ov625so9JtDptdMMjyE+G9EkZMhRU5GFDqZkOsiIDCbHM85yNxmShWNZa5zSHGaSYLjDBIdp5NmP5Msn80URfpSKy+iuaGO1qwUSp2tKbA7QVnYNeQVpdQom1G0qFApmpEXFlJaVEJRaQVlJcU0ZadSFRtB7GkLzpuvwNfsA3w2vc+Z/QuJD7Gjv+sJ2sGJ9D58ixLBz4Fg8GEZ3aWnUcet52G86T8EBELsv3L5Mna2tpLvODExESP9aZI6IDrBnDxujreXNwMDA6McYBIEv28QRJzZQ3+Vx6sgUJzlWbkHtTfWU+g7hxwPY3LdjMh3NiLPxpA8WxMKnGdR5L2QAu+FZLnMIsNhOhn2xshEOXNXI5KdjUl2mEuy/XdkxV6mvCKP5oZaGqLDyHGyosDHlbqwqzyur6KttYWm1lYaW1U0NrdSXFREaW42hckJpF+/RFyAFwXXLpAccIpb1t8TuO0TPDa8j/fu+dwNtmFoYICnAxpE3s94y1s1Fr6iGgzrVAORiNQvvAbFvqhj174AwaZ3LhGIJ/+J48e5feuWNPnHgkB0Sj5lfuK1IDh26ACVJXk0ysvHXUWEoAiuKcp/81hxLBFIJMYX5OWOe9zR8zbIy6TxImhmdNubXsXxc7KzJzQ+LS2D1LSMCY0de15xjtwJXlNKagYiqGjs58d7n56eifjMeGPG7svMyJJ+o7Hbxnsv3JPjRhae2Ut/tSeDcme0jd4MNJxmqOksvaVuyK+tpdBnNrluhuSIGAAHQ7LsjMlxEqnJCynwXUq25wJSHWeQ6WhCjrNYjUhz0CPDeRZZfutIv+xAalYG5UVF1CVEk+vmQLaTDQ0x4dyvLKG7Q41a3UZrm5qmNjW1rSrkCgVFmamE+Xthu2ENVutWknLGn7QgGyId1+O3+SPc1r+P9575QK0e4wAAIABJREFU3A2xkYqXPtcMoREGvHGWt1qqTFJDxP+k7EOtVI9geEgEFOXwMM+Vtrg1PBASQbIpVbfenY1ATPTUlFR2bN1GbU2t9HOUlZVJqoFIKHr69CkH9u3n8qVLP1ENtm/bQXRMvHSDiZt+cv3X+g3GB8E++kUPA7kL2gZvBhsCJRA8KXKl8uIqCr1nkeNhSKarAWlORmS4ziXXbxn5gV+RE7CUDK95pIuQY1cjsl0NSXMxJMNhJgXndlEQd5bUnCzSo2PIvnCWHBdb8r1daIqNpb2+HhHmLCSAhiaFBAKFqo1qpZIqRSOX/b3Z/80KvvzwL+z/einpVy+SecmdCNfNuG/8ENd1H+C/dwGxITZoep9KrfAkaX1cELzFUmUi0UinHujiByQbheYZz5rTac+yoy12NffjTXmcZEbVOzQWPn/+HFdnFyxPnXop+ouss++++ZagoCBiY2PZYraZkpIS3fW/+MGEamB36igPm6sQIcTjrZ2ttRIkRGroeONG93W11UvjRcjw6LbxXnvvN0rjRcjweOPG7hPQKi7In9B4kWeQnp41obGj53h6X5cvIfIZRreN9yqkARHKPN6YsfuyMrOkXIOx28Z7L6Qf8Z3HGzN2X37eG3INzggQeOtAUO+NpjGIocazdOc7U3b2OwkEeV5GZHoYkyYMgt4LyTm9gtygFeQELCDLZxbZntPJEgBwMiDVaxF5ZzdTnnSB0vwMsjOziHNzJMn2JNleTlTHRtJZW8d9lRqlSo28WUVtUzOtra2o21QoVS3UKBtxPXGY9bOms8FIj+BThym9F4nsmi+hbttx2/QJTms/IEDYCM7bSSAYHtRIjWPG4QBvVSIYEoFEUnES3avkThx8wlNFIup0S9piV9ERb8ojAYJfKBEIg969u3extLBk8cJFrF29hmNHj3I3Kgox0cdbhFqwfu1aCvJ1vfhGxyoUClavXMXcWbMRRkvhUhy7TNoIfu82gteAoCGE7jwnSoP/SpH3LPK9jZF5TyfdcxaZvovJDlhCTsAicvxmkec3gzwvYzKdDEixMyQjaCNliX5U1ZVQVlpKUVgot8zWE318P8XhN2hWNPKovYP2lhaUzSrqOjqpU7Wjam7hUbuKrs77qNQtOBzazZaFc3A1XYMi+S7KzHRyrgcQ5roDD9OpOKz5AP/9C0m85Ii2rw9t3wDDP3KNj73Pxfu3aiPQCpVA1CN4UZNA0koGOnlSf4+W5KOo4wQINvMoafOEQdDd3c31a9f4fO48DPWnMWvGTObOmsWcmZ/x2fQZGOrr8/WXX0m6f19f34+/39/19yQIfu8g2E+/3IfBaleG6r3RNp5huD6ErmwHCk9/RZHXLPLdjMh1M5YCiTKcRDCRCdkuhmQ5TCXFagpJ1jORuX5J6bldtDUVUt9YiTwjhfwAT+7uMCXKyRJZVDgNSjVtDx/TpKimXVFHq0JBpUJJs1pNW0012aE3CQv0Q62s46K3C9ama7D8ZhkBu81IDwok94IPaaeP4bvVCPu1H+K5fwExl+wZ6H9Gv3ZYqlI03mR4qxKBCCl+CYIXPQEZuE9PbQTKhIOo41bSEb/lF4EgKyuLjes34OLkRG6uTpTr7++nt7eXjo4OcnJycLS356vlK0hLSxvvu/7ifZMg+H2DIFxSDX4AwdALEDyW2VPgt4JiTx0IclwMJfehyDGQORuS5ahPmq0eCVZGJLt+S+GFI9QnBKFS1NGQn03R2UDSbU8Sb3WE+FtXKcjJoaW5jfttKprbFKhVClpbFNQoFSjqa2nMzuCOuzMe+/dQX15A+NkA7LdsZJOhHrsXzCbBx4fCK4Fkn7XCb7sJThs+wWP/50Ses+Zpbzd9EwLBW7QRDIj2y6MSgXgVhsP+dnrkd2iK24s67nsdCBK3UHVrYtmHwmgi/P+vqyQzOrOFa7C2tpa6Ol0r8dHtf+/rJAgmQSDZCF5IBMNNwQw3BPMoy45832WUeM6iwMOQbHcjZO7GyNxEmTID0uz1SLY3IdltKfm37anNiULVUElTTh7F58+SaW9NhqcLOaG3Sc1Ip7isBFVTHQ+am2hVtdPa1kKLupk6ZRPJEXeI8vHAbaspx1Z+S21JPulhN/Hau5M1n37M3qULyLt2nYqIK2RfsCdg1yxcTafgsXceYWdO0ve0h8GBAYbeZT0C7ZBWKoIwPDSis1SKTMSnCrorr9IYvUMHgjgzSSKoniAIxGQWT/+WlpaXIcBCIsjIyCAoMJDEhATetkowCpBJEPy+QRBxZh8DNd5o5DrVYFgRgrYuiAcZ1uT5fkGx50zyvYx1OQRexsi8TEh1MiDJYTppft9ScNucutIEWurKaJVXUxQUSJqNJdl+XpTGRlNeISdbJqO0MBtFbRntLQrUynYalU0oVE3U1Vbib3MKm01rObpiCebffEVNQTYFCfcIPnmM/fPnEnLqMCXRdymPuk72BScC936O86apuO+aTWTQcYYGnjLc18fIu7QRjGgGX0QVjvBcMyw1OBnpqqC7NIjGu1vpiFvDwwRTupPNkN+aeM3C5ORkjh87xuPHjyWrfmZmJjOMTfj4gw8xMTAkMjJydO6+9lUEDJWXl2N+7DimGzdKBkaxTRgRLU5ZsGv7DskXPplrkPXGRKCxRT/+1esRRAbvRVPnhbbWDW29H0OK8zyv9kWdepx8/wUUSaXMZ1DoYUKxmz5pLqL3gCEJTkvJuWVPbUks9S21NOWmUXftPLFHDyPz86IqPYXa6kqqysspzc6kvCCPenk1qmYl7S0q5A011NaWU5+Xjo/FUY6vW8mR5V9g+93X5NwNRZYQQ4iTHZarviX5SggRQT5kXgig8rIPp3d/gc3aT/DYMZOY4ONoB7t1HZHfpUSAZuAHEIjw4pFhhh8W8LjIn6aoLXTErZVAIOIIfolEcCYwSALBk54etBqt5PNfsXQZqamprFu9WnL9vZYALzbW1tQg8gquXL5Cfl6elHMgYgs2m5rh5OjItWvX2L51GzU1Na8cZlIi+H1LBK+CwJ8hxQWeVvnQlnKUPL/5FIlWZ94miOIk2S7TuXlgGjePL+HeuZOUNeTTpq6nLjYcmZMVCQd20hR5hwdFuagUjdQ2NVIlr6IgJ5vy8lIalUpJ6m1rbubcqWPYr/4Gpw2rcN9hhsX3X2O+bBGOq/7KpQAvZLI0rgafZp2JEaYzTDj8zXKunDxIUYgbF82/x2WzIe7bphPhu5+eLhVPB0VJgDcFFL1FG8FYEAgDhQDB0P0cHhX60hS1mft/AwiE7r9h7Tr+5z/fY+/uPZiZmvLBn/7M1s1b8HD3YP3adXz0/gfS+4cPH74ykUf/OBscgreXF0IKEAAQi5j0+lOmSoEbPT090rFvXL/+Uv0QYyZBMAmCUYlgqCHgBxAk/wCCfE9DKQ052WUe1059yQ3nHcSGBlFVW4oiM5E8NwcyrI+R42LNo6JcHjXIaVYqkDc2UN1QjyxbRlFZKQ3NShqbGinNy8Hqrysw/fhDds6difv2TVit/Csnli/CZd23BLs5kJ+Tzp2LIXwz5WMW/OEPHFy2mOsWRym75MfFk6tx3myIx1YTonwP8OxJO72DQ+8YBFqhGgyjGUGyVA4PaxhQpfMwzxNFlKkEgs4EXWThL5EIRBTgmpWrpFTi//r3/2DDunU0NjZKEzs4OJjdu3aNzvnXvppu3MSF8xeIjIgkOSmJzoedJCQkSLkGInZgMtdAJQX6iKCisaL/m97/flQDd3QguKiTCEZB4GFCvqsemW4zSPb6K1FXXbh7+yxp8TFUx8dT5u5C0v495Pm4okiN5XFrM20tzdQ21FFdX0dNczNZeXkUSiBQUFcrJ+bGNXYYGfDXP/wb2z6fQ+Cxfdis+46TKxbjvmkVnuYHSQ27zk1fd76f+ilz/p//G5ctm0gK8EAedolzJ9fisMkQj80mxPodZOj5Q54PatEI4/04y1uNI5C6HI2MIIqYCt+lqFfYp0jggcwFReRGHsSt5W8BgZio+fn52FnbYHnKAiHqi0V4EoS9IDMjY5yviCRB7Ny+g5PmJ9ixbTv+vn7ExMRgNM3gpZTwc7kGJ48cpK6iCFVj1biriGkXUW0iyu5NY8V+ZW2FNF5E/k1kfEt9lTS+IC9vQuPFMcX1iNyEiRxfRP2JisETGTs6prVBd4783NwJfU7kMoj8gdHPv+k1Iz2T1NSMCY8XkYjiO7/puKP7s7Ozx8010KkG3gzVeTDUcJph5SWeVfnS9iMQ5PoupPjafhrVNVQW5lMcGkaetRW5+/dQdjGIhvxM1O1qWtVt1L8AQX1DPXXNSspr5ZSUFFJXVU5jZRmX3Z05tmIx5l8t4ZyrNZEhvthuXsexL7/AzXQNB1YsxmbNt1iu+lp6f+S7r5GF3qAhNY7a6FtcsNiI4yZjPM2mE+tzkKGnD9AMiICid5h0hNQAVRQthUFRS137nKf10XRkOKCMFJmHa+hMNKMr2WzCNgIRXikMfWLSCyD82KAnCCCe6sLFKK+ufi0Qli1ZQmREhPRZkXMg7AvC62AwVY/Ozk6ePXvGwf0HuHD+/CvRhUI1mMw1+NfKLRCgGLuOl2vwKggCdSCo9KUt6Rh5vgskI2Gu+zQyfb8g98pBnvaqqYoII9vJhazjRyn3cUZenENtYz11ylYUAgRtapRKBcq6GqrlFZSVFZEYcYfUsJtUpicRYmmO6/ZNBJ08QGLoZcKCPDFf+y3Hv16K55b1rP74Q9Z+/CG7583C+/Bebp4JQFlXTUthNtWRNwhz3IHXjjl4bJ5BpMdeNF2tDA0ISf1d2giETUD0MxDFSIY1jGh76a4KRZ1sjTJiHQ/jV0sSQXeSGfLbE/MaCMqLMGAbKyvp6S/sAMJ9KEKO1Wq1tM3i1CkWL1wohQm/jgSnAwKws7GVipOIQiTC1iA8ECIi8dLFi6SkpEg2BxGCPDY5Q4DA2vwIqoZyHrfVj7uqm6qlG0zkDrxprNh/v7lGGi96AkxkfKeqThpfUlgwofHimOKGL8zPm9D49IxM6Wk9kWt5OUalO4eQal5uG+d3EhKBUD8mMlaMEdmEQiKY6HjhihPfeaLj83JzxpcIzuxDU+fDUJ0nw41BDCsv86zKj7bk4zoQuJuQ7zKNdO+lpJzfjzI/gWJ3JwptrJDfOEd9TjyVbUqqW9XU1bdQp2hCrlTS3qaiS8QKKOqJC72By8G9OO7cQlywH6cP7SHg4C4Cj+3F5+henLZu4MCyRVit/AqfrRv4+r33MNOfgqPZBpLuhlJaWUZ750OURflUhl4n0ecwgfsX4bplFrfc9/L0cQuaQc077obMCFqpw9EImiENI5oeHpXeQJVwiubINTqJYNR9OEEQiBiC0Dt3mD9nDlM++hgDPX2Mpk2Two3FE11sE+HG169fZ6C//3UcQMDDxsqa+XPmsm3LVkl6EEZDIWlsWLeeZV8sISI8/CfxCJPGwt+5sfAlCLxeDwK36RQ7TiPNbTGxgbuoiLtGkasdVX6eqIszaFZWUtoqMgZVNNS3UdfQQFVjI/dbW3h+X03XowfcCQ5g79fL2T5vLlftThF0cDcBe7fivmUdB5cvYt/ieRxcsgC7td/hYbYW02l62K38mlverpSLdHZhd3j4EEVxAfKoO6QGnCDw4BJct83hptcBerrb6NcOoR1fIHi7uQZiFgppQJQo04Ggm86iK6jizGmJWP0CBGZ0J2+esEQwOrOFCB8THY29nb30JBeuPwsLC2JjYhD5CL/GMgmCSRDoJAIdCEaar/C8yp+2ZHOdROBmQonDNJJs5hLqtBZlfiwV185RG3WHzrYmHnS2UVpdRUVVHY11rYgkt9rmFprrauhqqqfv+VPCTnuzdd5svvnwA3z37+CC+UG8t23EZuXX7Js/h+2zZnD862XYbliFzYaVuG83I/liMDXlhTQ+6EChbKKto4M2eRWK9CQSAy3wP7AUjx3ziPQ9wrPeDp5ph9C8sVTZW6xQ9CoIBhkZfMyDgvO0xh6jNWIVj+LX8ijhBQh+A01QJ0HwGwZBl5KR9lpGHjZCd/NrvSFv6nQU+SOJYKT58hgQLKRANDx1MyHOZg73LL6mPuUOmdcvkRMdTWuTgvaWJipF6Lu8HnVNE8rGRhpUKhIiwrl92o+ke5HEng/k2PIlfPuXv2C15ltCju3DYdNqXLZu4IbNCfYsX8zer5ZydM13WG3dhDw9gZbqElpamlC2tdChaECpaqOptoG6glySLjgScvyvnN71OdEeB+hV10u2sTdw4C1LBMNaRAaiZCMYGmBkoIOOfF9a4/bRdncNnSIFOXGLFFlYPUHV4Nd40k/0mJMg+O2CYLi1moHbl+jzcqE/2J/BK2fRZMWjzUtmSJ7PsLKCotzxvQYRQSLE2AdNjSfaxtNoFefpqwmgPfUUOb4LpKzDTFcTYm1nEm29mJqkS6Rfv0xmZCyNNQ2oVS3U19VRXy2nqUqOvKaS9Li7+OzcjvU3XxFoeZzYC0HYrlvF+k8/xfyrpQSbH8RqzTc4bvieSFcb9ixbxMkNq/E8eZQz7s48VNbT2dpEa1szja0KHjTXUat6gLyhlZriYjIuuUpBRT7b53PH9QCP1a0Ma7Tvtngpw4MMD+v0Ea32OcN9zahyHGiO24I6WkgDO3ictJ2uVFOqJ1ueSYatyd6HPw+bv6vTUVczmpR7PPnqK7r+4490/eG/6Pl8AT1LltK7bi19QT4UpqSMaywMD9xPX5UvA3J3NA1+DDQG018byP0MK3J8F0llykTD0zgbI+7azKI02pv8m5cpjoihvrSS5lYlzc0KGkXwUE0Nd0Ov4rpnK6Z/eZ/1//3fHF62kLAzXrjv3sqe2TM5sXQx3vt3c3jpAvZ//hlO675j7xefc8HeivT4aDJkGVIcwqNWJe2ilqFKiVpVT5O6k6qiMkru3SX7jBvXLTbisvVzztnv5GFHu+Q+HBl6k/vwbaoGEghE7jNoRKul3gZas2xQxpihjl5DZ8J2HiVtozvVDPk7VA1E1eJtm7e8XPPy8iTvgChT5unugcXJU1J1IuGeHLtMSgQ/P0lFsNE/a0DRSHczQ1W5DN69yZN1a+h6708SCAQMuv/4AU93bEMrS6Aoe/yaheGB++ir8nkFBAN1gdzPtCbHdzF5bkbkOBkRb2VAhOV0cm7YUHnzIg1R0TTlFdDUVEuLupUGZSOlJSX4nTzM9jkzWfnnP7L+04/Y8pkxN3yc8Ny/ncOL53Nq2WLsTNexa+5M1n7yAd9/+BeOfbWM9DvXJVtAeUODlJbc2azgkaqFNnULqrZGOuprqAoPJcfTnZxAH2457sNx20KCrE151NFEf/+ALit47M39o/dvN6BoRKsLKx4eQdvXw8CjKlrSLVDc24j63io640dBsBn5nXW/uAlqaGioVIp87HcQ5cU83N0ll+LY7WPfi74FInZAJC+JVbgdhZtQ1CkUVY1DQkLYv3cfDQ0NYz82GWL8hg7Q/0wgGFKWUx90hsbd++iZMYseAxO6P9GnW8+Arvf+LIGg+38+4Lm7A8PKcuhp4U02AgkE1T4M1vwgEQyI7MNMa3L9FpPvZki+owFJ1vqEWxuTeO4IVTdDaI6KokWWyf2OFu63KciMu8tVPy/892xn/6wZnFixlFMrv2Kd4VQJBO57t7B77kwOzpmB5XcrOLJ0ARv0p7Do3/83fof2UlGYT/ODh1Q2NNJSK6dd0YRKqUDVqqS3U4U8/DpFnq6UODnRlJhAWKAjdrsWEWy9nsFeFQMa7QS8Bm9TIhjRMiISjSQQdNF3v4SW1OO0RG/gQfRqHsVv47EkEfwyEIhSZMJrIPz/F89fkN6Lv0WOwNUrV1m2ZOkrE/jHf4SFhmK2cdMrm0XDE5FrIAKWhNdBdDwarXA8OnBSIvgnlgh6WtHkJvE8wIOeRYtfPvG7/u2/6VmwgOfezpJNYDAtmp7psxDbByKuvWI0nAgI+gUI5O4M1vtKqsFg3RkeZtmQ6/+FJBEUOhmQZqdPlL0RUYG7KLh9hsqoMOpTE7mvlJN4IRCLNd+x/rPpuO3ZzuGF83FYtxLHzWvZPNOIsDOeOG5ew/d//m+++s9/Z53ex7hv24j/wd047dxCenQkFTU11CtbEAlJnc3NKJtbqFe1oaytpi0pimQnG4pOe6OOjaQqO41gtyPYbZ3DFXtT+h+rdHEE7zagSAcC8bTV9nXxvD2fltRjqGLW8zBmNY9fguCXqQZxcXHMmz0HkWfw3v/+dz74819erp98+BG2Nrajc/e1rwIEy5cslUKRVa2tUoTiaDnz0YjFn+trMFm89OeLtr6L4qUZiSkMKirQVhegTYuhL9iP3l3befzeX+j8YAr3pxjRsXQFD+2tqTgTjCw04pXipU+unefBqlX05KS8sl0UMX1T8dLwoH28AoKGYAQIOmW25PkvIc/dmEJnQzIcpxHjaECEnxmyO0EUR4dTHh1BdWY83js3s05/Kl/8z//gZ2HOkaWLObZiCSe+XcGO2dO5dzEAJ9PVfPPef7D03//AV398j0DzQ8RdOU9i6E3kdbVUNilpalTQrVLR2doqlS+rb22lJjONUn8PklwdqQy7zoPSbGJuh+B6Yi12m2dw3Xkr3WolQ++6eCkjQ5JEIFwVQ88f8bw1i7bUQ7THraUrfhVdCdt4lLidxyLE+PbEKhSJmX3//n2uXrnC7Jmf8eWy5Xh7er1cL164SEd7x2sBMLpRJpNJ9oGN69azb88e5HK5LulomoGUjSjAZXHi5Gv7GkyGGL8akjs2PPfXeJ8Wn0RWeBS5l65S5O6N/OhJlOs2cX/GHB5+akD7rM9p+eJL6nfupczDm9wbt0lLSJYMr6+7nsKgELLCIn92/3ghxuFBe3U1C2teSAQNZ9DUB9MpsyPff6kEAtHcJMtFnzQnPaJdvkEW5k9xXDiyq+cI83aSvAHf/OmP7Fgwj+jb1zn+zVd89+c/s+qD99k+04iEm+fw2b6J7QZ67F48D9NZJlwN8KaspJC2djWKjvs0tLShbm6hW9UqGQtF05PGwjzyTvuQZH6IyoQ46kuyKc2PxWHfl5xcp4eDmSHXXXfRWt+Apn+AkXeadMSwpHuLuOahZ508VaTRlrxfKkjSnbDybwbB6IQWaoBopjG6jGYOjv79c6+j44QqIYqQnD93Tqp1KKIURaixUD0OHzjI2ZCzr5REE6rBJAh+XRCkJKUiC4+iIOQ85baO1G3bjfL7tbTPW0TnpwaoP1+CYuU6avYcoMzVg7xL18iIjvvZif06GIy3bTwQ6CoU+aKp/REIsu3J919Gnpsxma46EOQ4TyXB9gtyb3lQFnOL7HMBXLY5zpqPP+LYssXcDXCnJDMFZ9P1fPfef7H0//3/+Pr9PxEW4IbvDlMcVn3DLW8nLjlbk5UYQ428ilZFE2qVCrVKjbpVhbq1hfb2NuplaRSfP0OOvQUlZ/1orq0gO+kWV32PYLNWD7vVf8Fhkz4XnHahaFGjfee5BmNAoHkiipYmoErYRUfM9/TEf8/jhG10Jm6nK0XYCCaWazB2csuyshAWf2HdF091UbTUx9tbqjQ0dtyP34tKRKLUmUhMErUNRAKSsAssX7pMsgtIEsOWrYhstB/nGpw6doim6hI6lPJx1+Y6XTahyB1401ixfzRzr6SoYELj1U1y6eYXuQMTOb4YIyaAyAycyHiRFSgyECcydnRMu+LFNeVN7JpGsw/VlYW0xkWh9PWmacNmWpd8ScfMeXTqGfJk+XKeHTlIv68H5T7+5F+5zuOKfO43Vr7x2oS7UXzn0et706vogzAeCHQBRb5o6zx0NoJRieAFCHJdjUl3NiTTTZ9c96nEW84j96oDlVFXKDofwB0Xa7ZNN8bDdC0lEVdJuXMN/11b2TFNny//8z+Z+7//gNOWDVh89xVe+3ZSnJZIeWEetTXVNCub6FSr6FK3oVYqaW5pQaVW87CmgsLzgWQ7WFIV7EtbiQxZahhX3Pfhtn0Obms+wn3t+9ivn0qI3VbU9x8w0P+cIe2rpfp/PEfertdAAsEwwmc52KXmcdU9mmO30X7vG3rivpVsBA8lEGxBHrqej/70Xz+bKPTjCxV/ixRk0ahU5A6IbEHRu1A0MhVFR8ZbMtIzWPnd96xbs1Z66gtDo1hEkooIVRZt0UVREpHXMHaZNBa+HWPhSJeSoeo8qt08UJpu5cn8hfRM/0yy6vd8sYRnFuYMXD2HJi2GIXkBw6pqRh4p+LviCN7g8RDuzzcZCyOD96Op+wEE/fVBDNYF0/kSBCZkuxqT5WlAuscUoixmIbtqT0XUZSquBBN/xocdM6azZ85MXLdu4KyDFaf3bMXiyyWYzTRm2Ufvs3W6Mfu/WEiIzSnqiwtoVrUhuhq1qFrpaGulvVlJc2srDcJAKK+i4nIIMidrSgI8aJElIC+REeJ6AM+dc3Fb8z5uGz7Bad1HOG3Q55r9ZrraGujrf4J2aHDsrf2T978SCLQMPm6hsyyMlpjNtN/7lu6473gct5XORBFHsJma0HW/GATrVq/Bz9eXtNRUqZbAndt3EIbAr1d8+ZMvNnaDkCD6+/ok

The initial cost to hire the company

500

Two points are plotted at (5,1) and (6,6). What is the slope?

5

500
Look at this table:

x_|_y
0 | 8
1 | 6
2 | 4

Is the slope negative, positive, zero, or undefined? How do you know?


Negative. m = -2
500

The equation that represents the table is


y = 3/2 x + 8

500

Find the slope when given (2,5) (1,2)

3

500

The x-intercept in this situation means...


The time it takes to run the race.