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AAIIIEAAswcQQAABBBBwIEAAO0CnJAIIIIAAAgQwewABBBBAAAEHAgSwA3RKIoAAAgggQACzBxBAAAEEEHAgQAA7QKckAggggAACBDB7AAEEEEAAAQcCBLADdEoigAACCCBAALMHEEAAAQQQcCBAADtApyQCCCCAAAIEMHsAAQQQQAABBwIEsAN0SiKAAAIIIEAAswcQQAABBBBwIEAAO0CnJAIIIIAAAgQwewABBBBAAAEHAgSwA3RKIoAAAgggQACzBxBAAAEEEHAgQAA7QKckAggggAACBDB7AAEEEEAAAQcCBLADdEoigAACCCBAALMHEEAAAQQQcCBAADtApyQCCCCAAAIEMHsAAQQQQAABBwIEsAN0SiKAAAIIIEAAswcQQAABBBBwIEAAO0CnJAIIIIAAAgQwewABBBBAAAEHAgSwA3RKIoAAAgggQACzBxBAAAEEEHAgQAA7QKckAggggAACBDB7AAEEEEAAAQcCBLADdEoigAACCCBAALMHEEAAAQQQcCBAADtApyQCCCCAAAIEMHsAAQQQQAABBwIEsAN0SiKAAAIIIEAAswcQQAABBBBwIEAAO0CnJAIIIIAAAgQwewABBBBAAAEHAgSwA3RKIoAAAgggQACzBxBAAAEEEHAgQAA7QKckAggggAACBDB7AAEEEEAAAQcCBLADdEoigAACCCBAALMHEEAAAQQQcCBAADtApyQCCCCAAAIEMHsAAQQQQAABBwIEsAN0SiKAAAIIIEAAswcQQAABBBBwIEAAO0CnJAIIIIAAAgQwewABBBBAAAEHAgSwA3RKIoAAAgggQACzBxBAAAEEEHAgQAA7QKckAggggAACBDB7AAEEEEAAAQcCBLADdEoigAACCCBAALMHEEAAAQQQcCBAADtApyQCCCCAAAIEMHsAAQQQQAABBwIEsAN0SiKAAAIIIEAAswcQQAABBBBwIEAAO0CnJAIIIIAAAgQwewABBBBAAAEHAgSwA3RKIoAAAgggQACzBxBAAAEEEHAgQAA7QKckAggggAACBDB7AAEEEEAAAQcCBLADdEoigAACCCBAALMHEEAAAQQQcCBAADtApyQCCCCAAAIEMHsAAQQQQAABBwIEsAN0SiKAAAIIIEAAswcQQAABBBBwIEAAO0CnJAIIIIAAAgQwewABBBBAAAEHAgSwA3RKIoAAAgggQACzBxBAAAEEEHAgQAA7QKckAggggAACBDB7AAEEEEAAAQcCBLADdEoigAACCCBAALMHEEAAAQQQcCBAADtApyQCCCCAAAIEMHsAAQQQQAABBwIEsAN0SiKAAAIIIEAAswcQQAABBBBwIEAAO0CnJAIIIIAAAgQwewABBBBAAAEHAgSwA3RKIoAAAgggQACzBxBAAAEEEHAgQAA7QKckAggggAACBDB7AAEEEEAAAQcCBLADdEoigAACCCBAALMHEEAAAQQQcCBAADtApyQCCCCAAAIEMHsAAQQQQAABBwIEsAN0SiKAAAIIIEAAswcQQAABBBBwIEAAO0CnJAIIIIAAAgQwewABBBBAAAEHAgSwA3RKIoAAAgggQACzBxBAAAEEEHAgQAA7QKckAggggAACBDB7AAEEEEAAAQcCBLADdEoigAACCCBAALMHEEAAAQQQcCBAADtApyQCCCCAAAIEMHsAAQQQQAABBwIEsAN0SiKAAAIIIEAAswcQSJnAaFZnW6PzJD3U56ktlbRcTb0ymNGdfa5NOQQSJ0AAJ27JaBiB7QusWKHC8JO6zFq9cPVI8cWunCZqlUes0YerdV3uqgfqIpAEAQI4CatEjwgsIDDi6SAjXbc6X3xOHLAmapX/lHT7zBK9Z+NGVePQEz0gEDcBAjhuK0I/CHQo4Gc1LqO/Gs8XV3V4as8PX1ur3G+lt06H+knPi1EAgYQJEMAJWzDaRWCLwIinvTLS1eP54qFxVpmoVR6W1RVBQxOSbJx7pTcE+ilAAPdTm1oIRCRQ8HS4kS4fzxefFdGQPR9molb5UVM6ZjrUAz0vRgEEEiBAACdgkWgRgS0Cq6TcjKcLJb1pdb64T9JkWp+GrXRqNVQ5ab3TLwJRCxDAUYsyHgI9EvCHdYCMyuMjxRf0qERfhp2oVe610jeGQ539sFTvS1GKIBBDAQI4hotCSwhsK1DI6T3G6pwkXXJeaBUnpiu326ZK1c3674WO5fcIpFGAAE7jqjKn1AjM39v7aUkHjOeLL0nNxOYnMnfPsHRhNdRlaZsb80FgIQECeCEhfo+AI4ERTwdnpGvH88VnO2qhL2UnapVbrXTX5iU6eeNGBX0pShEEYiBAAMdgEWgBgW0EzPy9ve+K4729vVqtiVrl/lnpmFqom3tVg3ERiJMAARyn1aCXgRcY8bR3RrpmPF88ZBAxWpekZXRlUNdaSc1BNGDOgyNAAA/OWjPTmAuMeHpzRvpUmr5otVjyiVrl5lmrY2oN3b/YMTgPgbgLEMBxXyH6S73A/L29FxnpDeP54r6pn3CbE2x9Gm5K750OdUObp3AYAokSIIATtVw0mzaBwlI932Tm7u09MG1zi2I+E7XKPVb61pJQZ01Km6IYkzEQiIsAARyXlaCPgRMoeDrVSGdzyXnhpZ+oVe6wszq8ulm3L3w0RyCQDAECOBnrRJcpEhhdpt+xTZ0v6Tnj+eLvpGhqPZ3K3GMsrb5YbehDPS3E4Aj0SYAA7hM0ZRDYIlDw9Ekj7T2eL/45Kp0JTExXNhqro6Zm9O3OzuRoBOInQADHb03oKOUCBU/3JvFFCnFZlrUbKhdU6xqPSz/0gcBiBQjgxcpxHgKLECjk9IrVuxf/dRGncsq8wNrpym3Vhl4ICAJJFyCAk76C9J8ogVFPf3NuvnhWopqOYbNrgsqLpjfrVzFsjZYQaFuAAG6bigMR6F7A93THeL74vO5HGuwRJqYrq4OGJgZbgdknXYAATvoK0n9iBHZfppes2a14a2IajnGjrRc4BKFeGuMWaQ2BBQUI4AWJOACBaAT8rNaMjxRXRzPaYI8yUausM00dOjWjXw+2BLNPsgABnOTVo/dECRSy+uXqkeKLEtV0jJtdW6t8sBrqkhi3SGsI7FSAAGaDINAHgcJSHbjaL97Wh1IDU2KiVvlpEOqggZkwE02dAAGcuiVlQnEUGM3qnHNHihfEsbek9rS2Vqk2rV7GG5OSuoL0TQCzBxDYSmD3rPZZIr1dRo9HDPNX1uqHq0eK74h43IEebqJWeX8Q6tKBRmDyiRUggBO7dDQetUDB0yslXWek1jeV74lw/D2s9BojfXGBMV81ni++PMK6qR9qolb5YRDq0NRPlAmmUoAATuWyMqlOBUazOtcavdsanVyt6+udnr+z431PZ8hq/6Chdy4wrvGzGpfRu8bzxVVR9pDWsSZqlZrJ6AVTm7QurXNkXukVIIDTu7bMrA2BEU97ZaS/bx3alI6dDvVgG6d1dEjB009sU6unZ/RP7Zw44un3jXTt6nzxOe0cP+jHTGyonBzU9ZlBd2D+yRMggJO3ZnQckUAhpzcZq0+3/jfV0IcjGvZpw4x42rt1Sbsaag9JT7RbY8UKFYaf1OWSDhzPF3+73fMG8biJWuV7QajiIM6dOSdbgABO9vrR/SIE9pK8hqcLrdR6HeBbq6F+uohh2jpl1NNpTaOXVes6vq0TtjmokNN7jNWHuCS9Y73WZeiZJdp/40ZVF2PMOQi4EiCAXclT14nA6LD2bxqVjdF/bt5Fpz72mKZ72Yjv6Z9l9JGgrpsWW8cf1vOsUXn1SJE3AO0Acc105R3TDX1+scach4ALAQLYhTo1nQgUcnq3sTpXRmv78TfDlcs0NtvU7dVQrS9UNbqZ9CopN+PpQklv4l3Cz5ScmK58O2jodd0Ycy4C/RYggPstTr2+C8z/PfUya/XCjFVpakZ39aMJP6eTZPXHQahjoqpXyOnPW3+zHs8XnxXVmGkYp3UZ+slQv7VB2pCG+TCHwRAggAdjnQd2liOeDjJP3dt74/JQ59zX5SfRTiALOX1XVn9XDfW1Ts5b6Nj5b25fPZ4vcv/rVlgT05Vjg4auXsiP3yMQFwECOC4rQR+RC8zfU3uymnpnMKNvRl5gJwPuuqtGlj6hu4ZC7T0pbepF7S33LvNp+CndiVrl60E498U6fhBIhAABnIhloslOBOY/IV4j6Ukr/UU11EOdnB/FsYWsjpPRn1VDHRHFeDsaY/7pXddzz/BcANcU6jmBtLGX5oyNQFQCBHBUkowTC4GCp8ONdLm1uqzamPvSkpMf39M3jfTlqVDX97qB+U/bn7JWvz3orztcU6scOR3qhl6bMz4CUQgQwFEoMoZzgflvCf+Nkf7MGh1VretnrprKS7sNebq3GWqfaemxfvVRyOlkYzU+yJek19YqN1RDHdkvc+og0I0AAdyNHufGQsAf1gEyKsvo50+Eeu+jUs1lY76noyUdHYR6Y7/7mL/P+cbVI8UX97t2HOq1LkMvDbXXw1I9Dv3QAwI7EyCA2R+JFtjypCgZrQnqujIOkyl4Ksvqa9WGvuyin/knfX3YSqVB/NvwxIbKm4K6/tGFPTUR6ESAAO5Ei2NjI7Bihfz5ZyUfYJo6ol/39i4EMCott57ufyLUfs4/ief0Z7K6YtAuSU/UKlcHoY5daK34PQKuBQhg1ytA/Y4FRjwdnJGulXRDEOocSTMdD9KjE0Y8vdlYnVRt6LU9KtHRsAVPexrp78fzxT/q6MQEH9y6DB2Eaj2oJDb7IsGctN5DAQK4h7gMHb2A7+mvZXWusTpmakbfir5CdyP6nv7VWpWrDV3U3UjRnl3I6kPGaO14vjgU7cjxHI1XFMZzXejq6QIEMDsiUQK+p6/bp/6++oU4Nl7wdLmRNgWhzux1f63HUkp6uWlqtq1aRn9ppVtW54s9vTe5rV56fNAF05VDpxr6YY/LMDwCXQkQwF3xcXI/BXxphTz9Js7P/PVzermsWn+DfH4PbZYUclpjrE6Q1Wcl2TZr7SmjN7Yej9nm8Ts+zOjE8Xxxz67H6cEAa6crv6w2xDuUe2DLkNEKEMDRejJaDwVGPR1prY4LGnp9D8t0PbTv6e7ZjA6vbdJ/dj3YNgPsntU+S4y+Imkyk9GJ6zdpsoMa2YKnh5cM6fmTj2t9B+c949DWm56aTX1O0th4vviKbsaK+tyJ6cqaoKHzox6X8RCIWoAAjlqU8XomUPB0g6xuiuvl5y0T9z19RFabog6BQlZ/Yczc35b/Ngj1scVA+56ukdH3g/rcJ+euf3xPH5B0+ni+2HrlYix+zn+08pJe/OMnFpOjiVQJEMCpWs70Tqb1pKvNnh6cWaL9N25UNc4zHfH0+8bqiqgug45Iu2ayukRGfzKb0Ztrm/TLxc6/9ahOGZ1cretPFzvGtufll+nFQ03dOJ4v7h/VmIsdZ6JWuaPHl/8X2xrnIfAMAQKYTZEIgfn34J4ShComoWHf0wN2Vq+ubtZ/d9Pv7sv0kiVNfVVWFTV0ZrcvGhiTlj3p6YEndtFzH3tM0930tvW5c3+ff+ofCcXxfPG5UY3b6TgX1CoXTYU6u9PzOB4BFwIEsAt1anYs4Hu6Wkb/EtR1RccnOzih4OmTGat1U128EML3dLqkD8jqzCjfc1vw5gL9G9WGvhg1jZ/V22R0iatL0ms3VH7P5XPAo/ZkvHQLEMDpXt+0zG7Y9/SIyegFU5u0LgmT8rN6lczc32p/t9N+R5dpDzurq2RUeNLqrRsauq/TMXZ2/Kino1qvaQxCvSHKcbeMNf9FsevG88VX9mL8HY25tla5rxpq337WpBYC3QgQwN3ocW5fBEZzep21OisIdWhfCkZTJNP6R8MTTf3+ozO6p90hC1n9H2P0JWv0+Wpd50lt3uPbbgFJc39T9nTfbKh9a9KjHZzayaFDW26V6ten4Yla5WNBOHfVgB8EEiFAACdimQa7yUJOnzdW/xGEujRJEn5WV8roziDUR9voe5eCp7VGOlZWxwYN/aCNcxZ9iO/Nvazg2iCce6Rnz37mrwS0HoW5V8+KzA98fq1ySC3Uzb2uw/gIRCVAAEclyTi9ElhS8LSuafWyWkP396pIL8YdGdarTUZrqqEO3tn4u2W17y5P3dv78NCQTur2Ht125tK6pUlGh1dDldo5vptjxpZr5ezs3G1Pq8bzxY4vybdTe6JWeTgIFcsHg7TTP8cMpgABPJjrnphZF4ZVVEYXVEMdlJim/7fR1qfadVZ6yXSoB7fXfyGr443RhZIu6ecn/N2k/C6e7jahnj0lPd4PW9/T+ySd2Yu3M62tVS6vhjqlH/OgBgJRCRDAUUkyTk8E/Kw+Y43uqYa6pCcFejxoIacvZKx+PhXqU1uXyku7DWX1URm9anZWpdpm/VePW3nG8IWsvmONrpwOdWO/aueX6kVDQypHfc/wxHTlT4KGvt+veVAHgSgECOAoFBmjVwJm7tvPTR0Sl/f9djpRP6fXy+qMINT/vA5wNKeXWqsbjPQdhfpgvz6Bbtu7n9WJrft2g1Bv7XRe3RzfemeyPF1spdeM54v7dTNW69yJWiUIQu3Riy+sddsb5yOwMwECmP0RW4HRrA61RpcGoV4W2yYXaGwfKbtxq+cv+57OkPT+1uMbe/0FqIXMli/XaHZWd2RD7fmgFC50fNS/97254P9Yt5ekJ6YrVwUNnRh1f4yHQK8FCOBeCzP+ogV8Tx83VtWphi5Y9CAxONH3dK2sbrPSH8hot9mn7u39TQxak+/p+zL6WFDXN1z0s3tWzxkyum51vrjov/GvqVZeOz2j77jon5oIdCNAAHejx7k9FSh4+o2d1WHTm3VbTwv1ePDRrM61RhMymgjqWhOnS6Wjnk5pSr9XDfX2HjPsbPghP6fzZOdecfisTvqYqFVq85efN3dyHsciEAcBAjgOq0APzxAoeHqlrK6qNvSiBPMs9T1NSDpG0vLNu2i/KJ+/HIVLwdOeRvplHEJsNKs/tEbXdHLP8ESt8uXA7T8eolgGxhhQAQJ4QBc+7tP2PV0so5mgrtVx73VH/fmeHrZWv1ofloorc+WyrP6xF89f7tan4Olm29Sa6Rl9t9uxuj1/j+UafeJJXbd6pPgn7Yw1saHyRleXz9vpj2MQ2JkAAcz+iKWA7+nXJqO3TG3SrbFscIGmWg+feHJWd6yvl3bfcuhYrnxTr56/3I3R3EsfrJ4fNHRSN+NEde78F9ceWZ0v/o/d9sZuXX529QWyqObKOIMtQAAP9vrHcvbzt+lcH4R6XiwbbKMpP6eTJjeVrtz60JW5cq3Z2+cvt9HZMw+ZfxLXT+cvQzcXNUjEJ7W+uDaeL+709qiJWqW1R/p6C1XE02S4ARcggAd8A8Rx+oWcJjJWu0yFOiuO/bXTUyGn767fVHr1tseO5crHuL79aHv9+55+Nne/ckP/3M78en1MwVNpdb640weErKlVjujnQ0R6PWfGHzwBAnjw1jz2M/az+pU1OqEa6l9j3+x2Gtx1V43s8oTuWl8v5bf99cpc+Wv9eP5yp26FrM6W0apqqFM7PbcXx49Jy5709MDqfPEZhq16rcvP/XyMZi/myJgIEMDsgVgJjCzVC82QbqqG2idWjXXQTCGr49aHpS9s75SxXDmWweEP6wBl9L0gVM/fWtQuZcHTjavzxe2+LGJtrfIP1VCHtzsWxyEQRwECOI6rMsA9+VmNyygfhPpAUhl8T9+crJdev6P+R3PlWF469T39R1M6eTrUj+Ng33pS1ni+uN3XJU7UKrG8lB8HN3pIjgABnJy1GohOfU//bqxOnWroR0mccOslCxlP927v8vOW+YzlyrH88pCf1fkyWh6E+us42I9IuxpP9217Gbp1+Xk2hl9mi4MZPSRLgABO1nqlutvRYe1vM/rB/HtdbRIn2/rUNlkv7fQl963L0HG8fSa/TC8eaurrQajfiou97+kb4/niG7buZ2K68q2goR1eYYhL7/SBwEICBPBCQvy+bwKFnC4wTRWChk7uW9GIC7X+brm+XlrwJfd75MpHToW6IeLyXQ/ne/rvZlOnxeGhHK3JFLJ6++qR4he3ntja6coJ1Ya2+zf2rgEYAIE+ChDAfcSm1M4F/Ky+pYz+LalPv9ryzd2dXX7e6jJ0YKwOj9uldt/TLZJal8g/Hof9upuUX+Lp7i2XoSdqlaaaOjCY0Z1x6I8eEOhGgADuRo9zIxUYGdZrMhmNB6EOiXTgPg3Wund1fb3U9svtx3LlR2T02fkXNDh/AEbr79dDnu5thtpnWnqsT2wLlilk9R0j7Sej+2T09qCuhxc8iQMQSIAAAZyARRqgFlsvL1gnoxcl8T+yrac3TdZLHT+ZaWWu/OOm1dG1hu53uda+N/fSiLcGod7oso+ta494ektGusxKd1VD/UFc+qIPBKIQIICjUGSMyAR8T1+2Rj+p1vXpyAbtw0Ct5xc/7unhye08fKOd8q1Pw0Z631Sor7RzfC+O8T19zVrdWG3o73sxfidjzl/Ov8hIr2s2dXImo+uWh1p1n9ToZByORSDOAgRwnFdnAHvzc3qjrN4XhGrrbThxIfJzesPkplJXL7Ufy5XvsdK3M6HOmpIe7+fcRqXl1tP9T4Ta71Gp1s/a29YqLNWBZkhla3TLbF3v3yBt8D19X0Z/G9T1TZe9URuBKAUI4Cg1Gatrgb0kr+HpoZklet7GjQq6HrBPAxRy+uL6TaVIXmo/livf2ZzV4dObdVuf2teIpyOM1YnVhl7br5rbq1PwdJqRzjJG41N1XbXlmFFPpzSNXlGt6ziX/VEbgSgFCOAoNRkrEgHf0/XG6rtTjf/9D3AkA/dukF18T5OLvfy8vbbmL0lfPBXqE71r+39Hdm0+9x7gWX3GSPtmmnrL+hndvfW8C572NNIvg1Bjkp7ohwk1EOi1AAHca2HG71ggLp/G2m18ZFh/OtUofafd49s9bixX/oWk+5cM6Z3rHtdUu+d1epzrqw6jWR1ija6RdG0QalzS5h18Or7ZNrUmLvcod+rM8QhsK0AAsydiJxCnv0e2g+Nn9dnJsHRiO8cu5pixXPlBY/W2qYb+ZTHnL3SOw7+7Z/yczpPVSc2mjl8oWH1Pp8vq+UFDJy00J36PQBIECOAkrNIA9jj/jdxytaEvx3z6mdatU5P10mgv+5y/Z/hz8/cMz0ZZy8U3z/NZPTtjdJ2MNhrp+KCuRxaa025Z7buL0U+DUHtIcn7f9EL98nsEFhIggBcS4vdOBOJ4T+r2IPys/mgyLH2/X0grc+VbZq3euqGh30RUs+/3Xo96OspKH7fSpdVQl3QyD9/Tz2R1RtDQP3dyHsciEEcBAjiOq0JPiutTmbZdmoKnT66vl/r6Evu5T8PS6UGonb70oZ1t1M+nj7X+tCBPF1vptcboiKm6/r2dHrc+ppDV2TJ6VjXUaZ2ey/EIxE2AAI7bitDP/wj4Wd1kjL40Fer6uLL4nh6crJf27Hd/Y7ly61vC3zWhzuzmnuFCVlcZo18FoT7WyzmMLNULM0Mqy+qHsw2dXpMeXUw9f1gHKKPvBaH2Wsz5nINAnAQI4DitBr08TaCQ1fEyekM11BFxpBnxdPBUvXSzy97GcuVfz86qVNus/1pEH0Otv18/afWKDQ3dt4jz2zrF9/Q+SWc2rc6ZbujzbZ20k4N8T//RlE6eDvXjbsfifARcChDALvWpvVOBXXfVyNIndNdQqL0npU1x4/I9fXSyXjrddV/zl6Q/0ukbjPys/lhGFwehfq8XcxhbrpWzs7pS0l6Zpo5cP6N7oqjjZ3W+jJYHof46ivEYAwFXAgSwK3nqtiVQyOmfJF1eresf2jqhjwf5nu6ZrJf27WPJHZYay5X/TdLDQ0M6afJxrW+np1FPlzetHqg2dFE7x3dyzGhWh1qjq4109dRT9/ZG9vCM/DL99lBT/xCE+q1OeuJYBOImQADHbUXo52kCfk7vlNWrglBvixONn9PLJzeVWqEXq5+xXPkhWb0taOgHCzXme3pITf1xxO/WHSrkdL6xeodt6rjqjCoL9bGY3/uebpfRsUFdP1/M+ZyDQBwECOA4rAI97FBg5TKNNZu6PQi1SjF6E04hpw+v31T6UByXbixXbr0v9/tWemhH/RmrEUlHWaO/i3QOVocZ6SEzpBOmNmldpGNvNVghpwsl2Wpd5/SqBuMi0GsBArjXwozftYDv6QfG6OKpur7V9WARDeB7um+yXnpORMP1fZixXLn1yfEBK/0ksuJWGUmZamMuHHv64+f0u7L6ahBqn54WYnAEeihAAPcQl6GjERj19N6m0e9U6zohmhG7G2X5co1mZ/XAZL003N1Ibs/2V5RfXHt8Ud+edtu4JD+nVbK6O5PRPus3adJ5QzSAwCIECOBFoHFKfwVGPO1tpFurTz2CMLIv83Qzi9bjGyfrpWO7GarvpUsAAA72SURBVMPluWPLyrcHdb3AZQ/d1C7kdLKxOjgI9RfdjMO5CLgUIIBd6lO7bYGCp5+oqfFefamn7UbmD2y9wGByU+nrnZ4Xl+NXLit/uFrXuXHpp9M+fE/fk9Engrr+sdNzOR6BuAgQwHFZCfrYqYDv6QxZPTdo6F1xoNryCr8o3wHcz3mNLSv/blK/QbxihQrDT+rX2VB7PiiF/XSjFgJRChDAUWoyVs8EVg5rv2ZGNwehntX69mvPCnUwcOsl9pP10pEdnBKLQ8dy5XuCUPvFoplFNDGa1Tus0WuCUEct4nROQSA2AgRwbJaCRhYS8D393Fi9v1fvxV2o/ra/H/FaLxQo3dDpea6PH8uVPxqEOsN1H4ut72f17abRVdOhvrrYMTgPgTgIEMBxWAV6aEtgNKtzmkaj1XDu2cLOf1pv97Ge7k/aZejRXPng6TDC24/6uBK7S7sv8XSPCfXsbl5C0ceWKYXADgUIYDZHYgQKS3WgGdJ3glDPjkvTvqevTdZLfx6XfhbqYyxXfjAItfdCx8X194WsjjVGbw5CHR7XHukLgXYFCOB2pTguFgKFrH5pjU6aDnVLHBryPR0zWS9dHYde2ulhZa78yWqo97ZzbByP8T21vnl+fRDqmjj2R08IdCJAAHeixbHOBVpvIJLVgdmGjojDN2Dz0m5Dnu5NwmXosVx52kjvjvP7lXe2wXxphTz9ZjbUvot9n7DzDUwDCGwlQACzHRIlMLJULzBDOl9WL8hYHT41o1+7noCf1U2TYel1rvvYWf3W86GtdEM11AckNePc6456G/V0pLU6Lmjo9Unsn54R2FaAAGZPJFLAz+mvZDVujVoPlPi0y0kUsjp+fVjq+kXzvZrDWK58r4yODOqK3dubOplzwdMNsrqp2tAXOjmPYxGIqwABHNeVoa8FBUaH9Vyb0Y2SbptZolM2blR1wZN6cMCuu2pk6RO6K26Xoce88u0mo59trut9j0q1Hky9b0OuknKbPT24eRc997HHNN23whRCoIcCBHAPcRm69wL7SNnHPX3YSm+20tGubq8p5PRP6zeVir2fcXsVxnLlR2R0XlDXZ9s7I95HFXJqfdP8PdW6Xh3vTukOgfYFCOD2rTgyxgL+sN6gjK6Q1WeChib63aqf0zsnN5Wu6Hfd7dUby5VvzTR1xPoZ3R2HfqLowfd0tYx+ENR1ZRTjMQYCcRAggOOwCvQQiUDB055G+rKkJU3pbdOhHohk4DYGWblMY82mbnd5GXosV75f0leCcO4lCzNttJ2UQ4Z9T49kMjqQVw8mZcnosx0BArgdJY5JlEAhqw8Zo1OsdEo1VLlfzfuefjBZLx3ar3pb12ldcjZNvWNqRv/PRf1e1hzN6XXW6oNBqFf1sg5jI9BvAQK43+LU64tAIadXGKvrrfSN4VBnPyzVe1141NN719VLl/a6zjbBe7PM3BuB3h7U9Ug/a/erViGnz2esbp0K9Yl+1aQOAv0QIID7oUwNJwK7SfldPH1CVi+XVSmY0R29bCSf1bMzRr9YXy8Vellny9itT71W+kQ11MX9qOeoxpKCp3VNq5fVGmpdYucHgdQIEMCpWUomsiOB1hekZHW+lS6shrqsl1IFT7esr5de2csarbFbrxScv7f3572u5XL8wrCKyuiCaqiDXPZBbQR6IUAA90KVMWMnMP8+4RutdOfmJXr3xo0KetFkwdOZ6+ulnn0iHcuV77BGP56t6wMbpA29mEOcxvSz+ow1uqca6pI49UUvCEQhQABHocgYSRFofZv2AklHNp+6Z/jHUTc+/3CQH03WS2NRjz33RSuj8am6rop67JiOZ1rffjZNHTI1o7ti2iNtIbBoAQJ40XScmFSB0WEdZjO6SlZXBA2tlWSjnIvv6ReT9dJLoxxzLFf+Raapt6yf0T1RjhvnsUazOtQaXRqEelmc+6Q3BBYrQAAvVo7zEi3g57RKVl+SlJ3/NBzZPcOjWZ27LixF8jCQsVy51de1QahxSZsTjd5h8wVPl2asgqnG3FULfhBInQABnLolZUKdCBSyOssYndqU3jsd6qudnLujY1tvbJqaKf2q27FabzBqNnXC9Iy+2+1YSTy/4Ok3dlaHTW/WbUnsn54RWEiAAF5IiN+nXsDPzd2m9BUr3bQk1NmT0qZuJ13I6r/Wh6UXLmaclbnyT2T1mMnohLTe27uQy4ing4zV56oNvWihY/k9AkkVIICTunL0HanA7tLuQzl93FgdZJs6tWl0ZzcFlhidIcmsq5fe08k4cy9RkD4ehPpIJ+el7Vjf08UymgnqWp22uTEfBLYIEMDsBQS2Ehj1dJqVPmrV3VOljDQk6VlWerAdYCMtkdVuJqM/nKrr39s5J83H+J5+bTJ6y9Qm3ZrmeTK3wRYggAd7/Zl9DwV8T3Urnc89rJ0hFzx90FitDhpa1tmZHI1AsgQI4GStF90mSGA0p8Os1aWy+uFsQ6fXpEcT1H7fW81Luw1l9bcy+kMZnR7U9c2+N0FBBPooQAD3EZtSgycwKi1verrISIcZoyO4vLz9PTCa00ut1Vet9O1MqLOmpMcHb7cw40ETIIAHbcWZrxOBUU9HWenjVrqUS9JPX4LW4zuN9D4jvX8q1PVOFoiiCDgQIIAdoFNyMAXm35Z0rYweN9Lxg3qL0ZbV93NzX1L7gqyWN62O5m1Hg/n/i0GeNQE8yKvP3F0IZPyczpPViZmmTlg/oA/ZWDms1zQz+r8y+lxQ1xpJTReLQU0EXAoQwC71qT2wAqNZHWKNrhnAx0wu9T21HtN5tLE6ZqqhHw3sJmDiAy9AAA/8FgDAlcDy5RodntVnjLTv/IsW7nbVSz/qzr8S8gYr3TMzpJMff1xT/ahLDQTiKkAAx3Vl6GtgBAqeTjWaeyb16rS+anA0p7+0VmutdFE11KcGZnGZKAI7ESCA2R4IxECgsFQHmiGVrdEts3W9f4O0IQZtdd3C0x7xOatSdbNu73pQBkAgJQIEcEoWkmkkX2BMWvbkU/cMv05GRwZ1/TzJs9rqJRffWhLqrChecpFkD3pHYFsBApg9gUDMBEY8HZGRPmmtPllt6KKYtddWO/OveTytKZ0W1Wse2yrMQQgkSIAATtBi0ergCIx42jsjXSupIaO3B3U9nITZ+zmtktWXJGWb0tHToR5IQt/0iIALAQLYhTo1EWhPwPhZrZbRu0xTfzk1o2+3d5qbo0aHdZjN6CpZXRE0tFaSddMJVRFIhgABnIx1ossBFhjxdPD8p+GvBKHOlTQTM45h39MFko6c/9T745j1RzsIxFKAAI7lstAUAk8XWLFC/tIn9Wkj7Z9p6oj1M4rFPcPz9/beaKU7Ny/RuzduVMDaIYBAewIEcHtOHIVALAQKnk4x0tkyWhPUdaXLpvyc3imr86z0N9VQl7nshdoIJFGAAE7iqtHzQAv4wzpARmUZ3SqrK5vN/n7qzGTkt/4uLauXyKoUzOiOgV4QJo/AIgUI4EXCcRoCLgVWSbkZT18w0h9Yq+l+9mKMCla6eTjUcQ9L9X7WphYCaRIggNO0mswFAQQQQCAxAgRwYpaKRhFAAAEE0iRAAKdpNZkLAggggEBiBAjgxCwVjSKAAAIIpEmAAE7TajIXBBBAAIHECBDAiVkqGkUAAQQQSJMAAZym1WQuCCCAAAKJESCAE7NUNIoAAgggkCYBAjhNq8lcEEAAAQQSI0AAJ2apaBQBBBBAIE0CBHCaVpO5IIAAAggkRoAATsxS0SgCCCCAQJoECOA0rSZzQQABBBBIjAABnJilolEEEEAAgTQJEMBpWk3mggACCCCQGAECODFLRaMIIIAAAmkSIIDTtJrMBQEEEEAgMQIEcGKWikYRQAABBNIkQACnaTWZCwIIIIBAYgQI4MQsFY0igAACCKRJgABO02oyFwQQQACBxAgQwIlZKhpFAAEEEEiTAAGcptVkLggggAACiREggBOzVDSKAAIIIJAmAQI4TavJXBBAAAEEEiNAACdmqWgUAQQQQCBNAgRwmlaTuSCAAAIIJEaAAE7MUtEoAggggECaBAjgNK0mc0EAAQQQSIwAAZyYpaJRBBBAAIE0CRDAaVpN5oIAAgggkBgBAjgxS0WjCCCAAAJpEiCA07SazAUBBBBAIDECBHBilopGEUAAAQTSJEAAp2k1mQsCCCCAQGIECODELBWNIoAAAgikSYAATtNqMhcEEEAAgcQIEMCJWSoaRQABBBBIkwABnKbVZC4IIIAAAokRIIATs1Q0igACCCCQJgECOE2ryVwQQAABBBIjQAAnZqloFAEEEEAgTQIEcJpWk7kggAACCCRGgABOzFLRKAIIIIBAmgQI4DStJnNBAAEEEEiMAAGcmKWiUQQQQACBNAkQwGlaTeaCAAIIIJAYAQI4MUtFowgggAACaRIggNO0mswFAQQQQCAxAgRwYpaKRhFAAAEE0iRAAKdpNZkLAggggEBiBAjgxCwVjSKAAAIIpEmAAE7TajIXBBBAAIHECBDAiVkqGkUAAQQQSJMAAZym1WQuCCCAAAKJESCAE7NUNIoAAgggkCYBAjhNq8lcEEAAAQQSI0AAJ2apaBQBBBBAIE0CBHCaVpO5IIAAAggkRoAATsxS0SgCCCCAQJoECOA0rSZzQQABBBBIjAABnJilolEEEEAAgTQJEMBpWk3mggACCCCQGAECODFLRaMIIIAAAmkSIIDTtJrMBQEEEEAgMQIEcGKWikYRQAABBNIkQACnaTWZCwIIIIBAYgQI4MQsFY0igAACCKRJgABO02oyFwQQQACBxAgQwIlZKhpFAAEEEEiTAAGcptVkLggggAACiREggBOzVDSKAAIIIJAmAQI4TavJXBBAAAEEEiNAACdmqWgUAQQQQCBNAgRwmlaTuSCAAAIIJEaAAE7MUtEoAggggECaBAjgNK0mc0EAAQQQSIwAAZyYpaJRBBBAAIE0CRDAaVpN5oIAAgggkBgBAjgxS0WjCCCAAAJpEiCA07SazAUBBBBAIDECBHBilopGEUAAAQTSJEAAp2k1mQsCCCCAQGIECODELBWNIoAAAgikSYAATtNqMhcEEEAAgcQIEMCJWSoaRQABBBBIkwABnKbVZC4IIIAAAokR+P+3z/vwks6xBwAAAABJRU5ErkJggg==

alternative solution with primitives