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Penetrative convection in Nocturnal ABL: Numerical Simulations

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<p>After the sunset, under calm and clear sky conditions, aerosol laden surface air-layer, cools rapidly due to radiative cooling<sup>[1, 2, & 3]</sup>.  Radiative cooling extends to several 100 meters from the surface and results in the development of a stable inversion layer. However, ground surface, owing to its high thermal inertia, lags in the cooling process and about a meter thick air layer just above the ground can be 2-6<sup>0</sup> C cooler than the ground<sup>[1,2]</sup>. Thus, at the surface about a meter thick unstable convective layer is present which capped by a stable inversion layer that extends up to about 300 meters. This configuration involving a convective mixed layer topped by a stably stratified inversion layer is a classic case of penetrative convection<sup>[4 & 5]</sup>.  Here, we present a computational study of this penetrative convection in the nocturnal atmospheric boundary layer (see Fig 1) and show its relevance to fog-layer dynamics. Field and laboratory measurements of aerosol number density is used to model the strength of the cooling radiative flux term. Vertical profiles of horizontally averaged temperature, density and heat flux are presented. Dynamics of penetrative motion of the fluid from the mixed layer into the stable inversion layer across the interface, results in entrainment and growth of the mixed layer. Here we show, correct length scale to be used in the Richardson number correlation<sup>[6]</sup>, to estimate the entrainment rate and to model the mixed layer growth. Analysis of the mixed layer and the entrainment zone, shows a good agreement with the previously reported laboratory experiments on penetrative convection<sup>[4]</sup>. We show how aerosol number density impacts the growth or decay of the mixed layer (see Fig 2).  Our study also indicates that occurrence of fog near the ground surface could induce a large-scale vertical mixing, which is observed in the field experiments.</p><p><strong>References: </strong></p><p>1. Mukund, V., et. al., (2014). Field and laboratory experiments on aerosol‐induced cooling in the nocturnal boundary layer. <em>Quarterly Journal of the Royal Meteorological Society</em>, <em>140</em>(678), 151-169.</p><p>2. Mukund, V., et. al., (2010). Hyper-cooling in the nocturnal boundary layer: the Ramdas paradox. <em>Physica Scripta</em>, <em>2010</em>(T142), 014041.</p><p>3. Ponnulakshmi, V. K., et. al., (2012). Hypercooling in the nocturnal boundary layer: Broadband emissivity schemes. <em>Journal of the atmospheric sciences</em>, <em>69</em>(9), 2892-2905.</p><p>4. Deardorff, J. W.,  et. al., (1969). Laboratory investigation of non-steady penetrative convection. <em>Journal of Fluid Mechanics</em>, <em>35</em>(1), 7-31.</p><p>5. Kumar, R. (1989). Laboratory studies of thermal convection in the interface under a stable layer. <em>International journal of heat and mass transfer</em>, <em>32</em>(4), 735-749.</p><p>6. Sreenivas, K. R., et. al., (1995). Modeling the dynamics of the mixed layer in solar ponds. <em>Solar energy</em>, <em>54</em>(3), 193-202.    </p><p><img src="data:image/jpeg;base64, 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f4Dg1260qSVXMV3qlxNFKixSbAEhBjYqkjfNnI5f9kz/AIKQfEjUtY/ZP+JnxK8QW0fw3/aE8AXmk6vAttFBZaP4psw95Hdhtu9RdW0N0nlbioaLIAxyAfpdRX5Far/wUe+OOu/DP4JedqnxCsz+1B4q8SeKbOTwp4Xt9X17w34UtI9+nWFhAyeWzzReTM80okZElY4PAG58Qf20f2jPhN/wTv8A2qtWuZPidpH/AAruLSrr4c+NPHPha30fXL6O5khW6hngVPJl8iXegkEa7klXIyAaAP1ZoryX9kP4UePPhp4Jvbr4g/E/VPiXrXiSWPU2a4021sbTRmeMF7WzSFFb7OGPy+c0kgA5Y18w/BXUvjZ/wUG+NPxZ8V6J8ctY+FPhn4Y+PrzwboPhnStBsLy3v1sPKE82om4jaaQzOzbVjeLahBBJOaAPviivyv8A+Cmn7dXjX4UXnxr8TfDn4ufFzWtZ+EMTTro/hP4ewXng7QJre2SZ7LWL2WJmkZ/naRo5kMKSAbVK8+pfFX4n/Gf9pL9v/wAC/DPwh8Vrz4W+FvE3wfi8Y6zJpukWl9eJcG8VM2jXCOsTnzApZ1dQi4C7juAB9/UV+TXi/wDbs+P/AIV/Ze8W+DbL4iWt18Svht+0bovwntvG11o9u8euWF5NaFHvLaMLGZAt2ElWLYT5YwULceo+Jf2hPi3/AME3/wBsKTwn4x+J2sfHLwr4q+GPiPxvBFq2l2VjfaNqGjokzJEbSNB9lnRygVwzKw++cGgD9FKzvGHiqz8C+EtU1vUXePT9HtJb66dELssUSF3IUckhVPA5Nfk7+yt+23+0p8R9L+B3xG0+P9oDxpqHxE1DSbzxXoWofDu2sfBFto2oKryy6fdoomQWySI0c7ySCVVJK4YY73X/ABX8cv279M/aw8Y6D8aLr4c+Hfg/4k8QfD/Q/B8Og2d5peppptmv2i41CSRPtDm4aVtvlSR+WAPvY5AP0Q+Dnxb0X47/AAl8N+NvDk01x4f8V6bBq2nSzQtDJJbzRiSMsjAMpKsOCMisn9m79pDwr+1h8J7Txt4LvLi+8P31zdWkU09s9u5kt53glGxwGAEkbAHHIwRwa8//AOCXOP8Ah2r8C9vC/wDCB6RgH/rzjr8y/wBnK6+OX7Mv/BHPXv2g/Cfxrn0vTfhnquu6vp3gT+wrI6PqtpFrM4ngvZ5Ea4eaXMm14pIwhKDa3JIB+2FFfnP8Q/8AgpV4w/ZN8VftN6f4v1G51adfCOn/ABH+FNpdwRRTPDfolj/Za7VHmGHVGhX5sti7QEnHH2B8KNN8bfDP9ijR4fGniK48QfELSfCQk1nWJYYo3udRW2LyybEVUAEucALjAFAHrFFfnR4e/bN+Jl7/AMEgv2S/iNN4tuj41+IXinwHYeINU+zweZqkOoapbw3kbLs2L5sbup2KpGeCDzV7S4vj5+2P+2v+0x4L0H9oDWfhb4R+GOr6XDokWk+H9Pu7xZ7nTIptkktxG4+yq4ZjGF3s0jfvFAAoA/Qmivyb+Hn/AAUC+PX7ZnhX9hXT9B8fWfw61345W3jLTvGWpWOkW99BdPpEKj7VbRygqsjeTK0ZzsVp+VdVCm98av8Agol8Y/8AgnN8Pv2sPB+r+Lrr4wa98I7HwxqHhDxJqmk2630Y166WzWK8itljime3lYyIAqeYuxT97NAH6rUV+d37Gnxv+Oun/theFPD9x/w0L40+HXiLSL8+KNT+JPgK20GPQL6GNXtprOWBE/dzN5iNA4fHyENwc9H/AMEZtR+NH7R3wo0n4yfEj4z6x4gsdQn1bSrXwnDpFjb6eIYb+aGK4mlWITPcjyzyrrHt2rsJBYgH3dWbP400e28XW/h+TVtNj167tXvoNNa6QXk1ujKjzLFne0as6KWAwCygnJFfE/8AwU/+LfxQ+E/x58P3154m+KHw+/Z9t/Dk8+qeK/h/oVprF3pWricYfUo5oppY7FbcZDxREbyd5AGR5n8R/hRf/HP/AILc/B/WvDXxu8bw6V4k+Cmoa3Yanop09oZ7VL/SRshL27qYLrcsz9W3Y2Mi8UAfptXA6d+0v4S1T9prU/hDDeXLeONI8OweKbm1Nq4hWxmuJLeNxLjYWMkTAoDkDBxg1+av/BSD/goV45+DVv8AFfx38M/i38WPFV/8MtcFr/Z+h/D2CTwBpJiuIkl03Ub6SMySzCOT95NFMNrkABcba7r4n/DDx5+0D/wXR8SWPgv4mah8J4bn4HaPdarqOk6ZbXuqTRnVrsxwwNcq8UQ3nLOY3JA2gDOQAfeXx1/aT8J/s4v4OXxVeXNmfHniW08J6P5Nq8/nahciRokbaDsUiJ8u2FGOTzXeV+Rfiv8AaE8cfHD4SfBbRfiJrFr4n8UfCf8Aa6s/As3iC3tkthr0VmLwQ3Lxx/IkxjZRIqAKHVsAVc+KX7eXxv8Aj38Zvj9L4Lvv2gNDb4VeK9Q8IeDtL8D/AA7tta0K/urBEDPqdxMjPL585OUjaLy4nQgknNAH60UVxP7NvjXxJ8R/2ffBPiDxloMvhfxZrOiWd5rOkSAq2mXjwq00BB5GxywwemK7agArzfUP2WvDOp/tZ6Z8ZpJNUHi7SfC9x4RhjWdfsRs5rmO5ctHtyZPMiXDbgMZGD1r0ivnvxF8eovC3/BQTUvDV3491v7Hpnw2fxLN4OTQYWswiXhRtQF9nzTNgGPyMbcfNnNAHc/Fb9lzw98V/jf4B+I18+oL4m+GSaiNEVJwto7XsAgl89NpLgKBjBXBz1r8u/wBn3/gnx+0t8FPAPhrw/wCEfCXxU8DfFfTtWRrzxgPiTp8vw+hga+8+48nSFkeVrRo2dUtfs0bAkZkBBY/ZfwV/4LmfAr49eIvANvojePodF+JVzBpuheJb/wAKXdr4fudSmHyaab1l8r7UWGzYCRvBXcSCK9Q03/got8Mr39nj4nfE641DUdM8NfB/UdV0rxOt7aGG6sbnTyRMgizli/yGPn5xKhH3qAOJ/bC/4JPeH/21/iXp3iXxJ8XPjtoX9i6haavpmk+HvFEVlpel39sjLFdwQtbuUmG5zu3HljXoepfsQ6D4g1f4M6lq3ir4g6xqvwRnmudKvrvWi0+tSy2ptnfUSqAXJKsW6L83sSp434j/APBVj4d/DzU7fTYfD/xO8Ua1HoNp4l1rTPDvhS51K78K2NzF5sL6isYxA5UMfKy0nyMQpAzT/jb/AMFaPgx8DvCfwz1q41bWvElj8YrKe98G/wDCOaTNqk2vmNInWCGKMeYZpPOQJHtzncG27SQAeiftmfsj+Gf25v2eNa+Gni6817T9D1yW1mludGu1tb6CS3uI7iJo5GRwpEkS9VPGfrXmfwg/4JQ+A/h38X9D8eeKPF3xW+MHirwqzy+H7v4geKJNYj0GV1KtLbW4WOBJSpI8wxlwDwRU1h/wVO8Da948svDOj+D/AIva5rf2PTbzXLSw8G3Ukvg4X6CS2i1RCA1tMYyJDEQzKnzEAc0eEP2rND8I/tY/tLQeJ/ineN4c+Euj6BquqaNqWiQ2WneDYLizuZzNFeqTJd+esLOysP3ZRVXO6gC18Uf+CZfhLx18YfEXjjw942+K3wv1nxp5TeJk8E+Izpdt4hkjQRJNPGY3CziNVTzofLkKqPm4BrtLf9jHwfa/H3wD8SFm19vEHw48MXfhLSRNqDXEUlncm3MjTmQNJLN/o0f7xnycsTuJzXmfwN/4K/fCf45/FTw14Tj0/wCI/hK48db/APhEtQ8V+Eb3RtN8WbUMmLK4mQLIzRgyKp2sy4IByM4PxF/4LlfBD4a+JPGmm3MHxG1L/hWuu3WheMLvSvCN5fWXhVrdlVrq9njUpFbMWJVyckRudoC5oA9C1P8A4J0+GhJ8R7nQPGnxO8E6t8UPFMHi7VtT8Pa4tndxXcVslsscR8pl+zlI13RSK4Y8nsBgwf8ABJT4YN8GNU8H3+o+ONak8Q+L9P8AHGt+INS1n7TrWt6nYzQS27zzsm3y1+zxR+WiIoRcAKSTX0S/iS21/wABnWNLuo7mzvrD7ZZ3MTZWWN496Op9CCCD718Vf8E8f2/ZvCP/AASx+Bfiv4hS/ED4jeOfHVlcRwQaPpE+t6zrMsc8xdysYwqpGq5eRlUDAzkgUAe8+P8A9gHwn43/AGvtH+Ntr4g8feFvGGn2UGm6jDoGuNZad4mtYJGkhg1CAKROkbO+ACpwxBJBxXknwu/YJurz/gtZ8Sv2htY8K/2LpVj4R0/w34cu2vIZRrt5Iub3UBCjM0TRwpDahnCMyq/BUg13ngz/AIKr/Cfxrp3gmeObxNpsnjbxlJ8PltdS0eWzudE15IHn+wX8cmGt5GRDtzlWOME5Brovin/wUQ+FvwW8ffEDw/4m1q50yT4X+HrPxJ4jvWtHks7CC8meG1h3rkvcyuh2Qqpdty4BLAEA7T9qD9nTw/8Atcfs/eK/hr4qfUY/DvjGxbT797CYQ3KxsQSY3KsFbIHJU/SsnxL+yF4T8VfG74X+PrqTVhrnwjsNQ07Q1juQtu8V7BFBN5y7cuwSFNpBXBz1ziuV+An/AAUY8D/Hj4gXnhFtH8feBvFkGkvr1ro/jHw7Po13q2nIVV7q1WTiVEZkVgDvQuu5RkVnfsZf8FQ/hv8At66tDH8OdN8f3+ky6cb7+3bvwzc2ujLIrBZLM3bDyjdISN0QJxzzkEAAzNC/4JSeCfBPjK7u/Cvjj4weDfCuoau2uXPgvQvFktl4ekunl86UrEq+dFHJJlniimSNizZTBIPca/8AsD/Dnxj8Sfi14k1zT7zW2+NmgWXhrxRp15OGsbiytY5440jQKGRmW4fc24knaRgivaKKAPkD4Tf8EWfhp8KfiX8P/F0vjL4yeMda+Fd8brwofE/jCbU4NFhNvLb/AGOKJl2CDZJ6eZ8iZkIXFeh/sEfsu+Iv2dtH+I2teMtVXUPF3xV8aX/i/UrW2u5Lmw0dZdkVvaWzSBWKJbwxbiQMuz4AXAr3yigD5/8A2r/+Cb3gP9rH4jaJ44udU8b+AfiJ4etH06y8W+CdcfRtYFm7B2tZJFDLNCWG7ZKjAEnGMnOHrP8AwSd+G/i74B/8IL4i1/4oeKLqLXI/E9n4t1bxbdXHifS9UiXZFeWt7kGB0QlQsarHtZgUIJr6cooA+dfgP/wTL8B/AyDxtdSa54/8deLPiFpJ0LWfFfi/Xn1bW5bDa6raxzMoSKJfMZgiIo3HJ3ECrt//AME4fh/qH7NHwl+FL3HiRfC/wY1bQtZ0BxeJ9qkn0iRZLUTv5eHUsg3gKpYdCte+0UAeB/Ej/gm38Mfir+3L4N/aE1az1R/H3gfTzYWKR3QXTrjAnWKeaHad80QuZxG+4FQ5HIAxS+L/APwTW8J/Er406x8QNC8ZfFH4X+JvFEENv4in8E+ITpsXiFYV2RNcxNHIhlRPkE0YSULxvxX0TRQB88fH7/gmh4D+P/h74fxza78RPCviT4X2psvDvi7w94lntfEVpA0aRyxyXj+Y06yqi+Z5wfcRnqSaqfEb/gl14F+J37OvhL4e3/ij4oR3HgfWj4j0bxdF4ombxTaaizyvJdC+kDsXfz5VIK7dr7QoAAH0lRQB5H8Ov2MvC/w3/aGHxQg1LxPqni5vBdn4FmudT1D7ULqytZ3nSaQldz3LSOxeQt8390da579lX/gmt8Lf2Ofij8VfF3g3TtQGqfGDUjqWtpfXAuLeDc80rW9sm0eVAZbiaQxksN0jdsAe+0UAfMfwt/4JV+DPgp4k0/8A4RXx58ZNE8F6RqX9qWPgW18XzR+G7OTzTL5aRBfOFv5hLfZzMYecbMcV6x+1f+zL4c/bJ/Z48UfDLxdJqcXhzxdbLa3z6fOILpUWRJBsdlYKdyL1U8Zr0SigD5r+Mf8AwS18B/F34z6l46h8S/EvwXq3iXR7XQfE0PhbxG+mW3iuytgywR3iqpYlEd0EkTRuEdl3YNeL/wDBQL/glLB4v/4Ja+A/2Y/hnoOra5o+l+IdGsLbU7zVYY7zwxp8d0ZLnUWlYxmR0gM0QWNS7eeBtI3GvvyigDxL48fsAfD/AOPnw88D6Dcrrnhe6+GLRv4Q1vw1qDaZq3hpkg+z/wCjTICArQ/u3jZWjdeGU4GMDxF/wTR8J+Pv2YvHXwt8W+NPip400z4i+SNY1bXfEZvNT2xOjxpASggt0DIDtihUHcxIJOa+jKKAIrGzTT7KG3jz5cCLGuTzgDAr5j+IX/BJvwB42+O2ueO9M8XfFvwLL4vvItR8T6J4U8XT6Vo3ia5jVVE11AgyXZEVXMbR71GGzzn6hooA+Rfjb/wRe+F/xw1H4kR3Hij4seHfDfxakkuvFPhjQfFD2Wi6pePEsb3bQ7CwlYKhZQ/lyMgLxtyDw/x9/wCCXWofHX/got4N8QfbvHnhPwR4M+Ff/COaV4u8L+JhpWsafqK3q4iBRt777bdu3xNEQeecV95UUAfn/wDtpf8ABI7S1/YY8F/Bz4X+HdY8R6XP8WNA8U+LptR10tqur2/9oxyapqFzeSyJJJOYQxJRg+FURrkKK90/Zx/4Jg/D39nn4ja94wuNY8ffErxVr2jnw42q+Pdfk164sdJZ97afB5gCpbs2CwILOQNzNX0ZRQB8y/BX/glp4R/Z/wDEGh/8Iz8QPjRaeDfC94t7o/glvGEx8PacVbdHEsQUTPbo3KwSTPEMAbMDFYvxj/4IyfCf4zfFXxt4kuNb+KHh/T/iY3neMPDHh/xXcab4f8T3HleV9ourWP70hULu2squVG9Wyc/WlFAHKfA34O6T+z98F/C/gTQ5L2XRfCOlW+j2T3cgkuGhhjEaF2AUM21RkgDJ7CvlHQv+CCPwV0Gws9HXXvi3ceCV1Vtb1PwdL4wuD4d8Q3puDcCa8tAArkOVyqFEYRpvViMn7ZooA+K/2+P2A7r9sX/gof8Asx+IJ/CSt4L+FM+o69r2vm7hRZmTyHsdLMG7zJVa6jjnJKFFEHUM2K+0L2zi1Gzmt7iNJoJ0MckbjKupGCCPQipKKAPivQP+CD3wb8Paj4XEfiL4uXGg+AvE9n4r8I+G7nxdNNofhS6trxbtY7O1ZdixM67Ssm8hGYIyZJribT/gkTefHD9t79pLxt4w1v4ofDvTfHGqaXFo2p+DPGB0p/EemJpqRXNvcxxM+YxMCP3iJIMsUYAkn9CqKAPz/wD2vv8Agk1a/Eb4+fsd+F/BGg6x4a+D3wXtfE1re3/h7XTpeoeFzLpkMenTQS+YJ3lNzHncokywJkBDHPt3wz/4JT/CXwF8EviJ4H1a38SfECH4tOsnjLWfFusS6lrPiF0VUhaW5+UqYVVfK8sJ5ZUFcEZr6SooA8J/Z5/YPsf2ffF0OrN8TvjR44+wWT6fp9l4r8Vvf2WnwvgHbEqRiVwqhRJP5sgGcMMnPZfsq/sw+G/2O/glpvgHwlJqcmh6XPdXELahOJrgtcXElxJlgqgjfK2OOBgc9a9EooA8K/ak/YQsf2rdamm1T4mfGLwxo99p50rU9C8NeJfsGl6tbsTvWWMxsyl1ZkZ4njYqcZ6Vj/Fn/gl78OfiRrfwv1LR9S8cfDXUPhFpg0DQbnwXrj6TJ/ZP7kHTZiA3mWp8iLK8NlAQwNfRtFAHxv8AF7/giB8KPjHb+P8AS7rxR8WtH8G/ErU5dc1vwjpPil7XQpdSlZXe8WDYSHMirIYy5hLqpMZwK6r9oL/gk/8AD/8AaC+Oq/E5/FHxQ8F/EC38PW3hi013wl4mk0m6srKGSaTamxSreYZmDiQOpCoQqsu6vp6igD5z0D/gln8J/Cfwe+HHgfS7XXrHR/hn4yh8e2Eo1FprzUtYjaZ2uL2aQM87SvPI0hJBJIwQABVf4j/8Ev8Awf4w+Lfibxl4d8bfFn4Y33jiVLjxPaeC/EzaXZeIJ1QRi4mj2OY5zGqqZYDFIwAyxIzX0pRQBT8PaHB4Y0Cx021M7W2nwJbRGeZ5pSqKFG53JZ2wOWYkk8kk1coooAK+O/ir8AvGWt/8FRPFPjS08P30/ha9+B9z4cg1JSnkyai1+8i2w+bdvKEN0xg9a9r/AGrP22/h3+xZo+jX3xC1e60uDX7iS2sRb2E148zxoHf5YlYgBSOTxzXkh/4Lafs/rqtvYnXfFAvboRmGA+FtR8yYSAFCo8nncCCPXNRKpCLs2jppYPEVI81ODa7pNngl/wDsgfEyH/giz+yf8P7Xwbqi+PPAfiPwJf6xpaCMXGkCyv4JbqVjuwPKVWZiCT161V/a/wD2Bfid4t/4KEax4L8MeGZr79nv9ozV/D/i34haisyJb6Nc6Ozm7tmjPL/2hHDYIxxzsYdia9/g/wCC4f7O91HdNH4j8SSLYp5lwV8L6gfIXcFy37ngbiB9TRJ/wXG/Z3h06O8bxJ4iW0mkaKOY+GNQ8t3UAsoPk9QGUke4pe2p/wAy+81/szGf8+pf+Av/ACPnf45fsYeKPhL+358avGereEf2iPGXhH4vT6dqmj3nws8XNp/2KaCyS0ls761FxAR/qw8c2WXa7KduOfQvBf7EGofC79oP9htfB/w517w74E+FuneKm1S11HUY9Tn8LPfaefKjuLje3mSNNI67kLjJIzjmvTD/AMFtv2fRqtvY/wBveJvtl0EaGD/hFtR8yUOAUKjyedwII9c1FB/wXD/Z4uUumj8ReJJFsU8y4K+F9QPkLuC5b9zwNxA+pFHtqf8AMvvF/ZuL/wCfUv8AwF/5Hj3/AAUB+Gnj64/ad1zxJ+z78M/jL4R+Od7c6VaDxnZXNnF4H8U20Riy2rxSTsJo4YDJECYROCoCHbWP+1F/wTq+J37TnxI/4KEaPp+m/wBkQ/GPwt4ItfCGqXjqljrd1p1rdNcQZBLKgk8uJiwAHm9xmveJP+C4v7O8Wmx3jeI/Ea2csjQpMfC+oeWzqASoPk4yAQce9TH/AILbfs/DVLex/t7xR9svAht4D4W1HzJg+ChUeTzuyMY65o9tT/mX3h/ZuL/59S/8Bf8AkeS+Nbv4wf8ABRn4o/s/aDqPwA8XfBvSvhL42sfHHijWvEl3YtapJY288S2WmC3md7jzZJsCVljCxjJXLELpfCb9lrx1ov7J/wC3Pol94RvotV+JnjfxjqHhu0cRl9ctruzRLaSP5sbZGyq7iO+QK9Dt/wDguF+zzdC6MXiLxLJ9hQy3G3wtqJ8hAQpZv3PABIHPc1Gf+C5v7OYtPtH/AAk3iLyC/l+Z/wAIxqG3djO3Pk9cc4o9tT/mX3j/ALMxn/PqX/gL/wAj2H9kTwZrvg79hn4ceH9fs7iz8R6X4K0+wv7SYgywXKWSI8bEEjcGBBwcZFfn/wDDv4F/tBfBH/gn1+yf4Nl8M/Fax8IaHb6rb/E3QvAd9b2fiyOVndtPCyGRT9mDNIZRDIH+aPBxkV9RP/wXG/Z3jmgjbxH4kWS6VWhU+F9RzKG+6V/c857YoX/guN+zu800a+IvErSW4ZpUHhbUd0QXhiw8nIx3z0o9tT/mX3h/ZmM/59S/8Bf+R8m/C79gXx1N/wAE6P2srXxB4d8U/D/xFJ4+m+JPgW48XaxHqWpQy2FpZXVndXF2sjh28y2ZHLPwC6kkDJp+GP2OfiJ/wUk/4JFePfisulvY/FT9oXxhpfxOh0aPUzZyS6Vp11bf2fpqXOAI2aytt8cmAvmTIx28kfTXxZ/4K7/sq/HP4T674W8Vat4h1bwn4mtpdK1O3Ph3VIY7qKRMSQmSONWXKn+FgcGtTwt/wWc/Zm8BeGtG0HSdX13TdLsbOC00yzi8K6iscduiiOJIx5P3QqhRj0o9tT/mX3h/ZeM/59S/8Bf+Rw/7HP7N2l+I/wBoeHxvN8Kf2mNG8R+G/DWoWFprXxO8Xf2hBZNdCNZbS2hN3MZDJsBMgUIPLHOSBXtH/BG34M+JP2fP+CZfwj8H+MNDuPDfibRNJki1HTrgL5ttK1zM+G2kjJDA5BPWufT/AILh/s8yXE0K+IvEzTW6s8sY8K6jujUHBJHk5GMim/8AD8r9nU2huB4k8RG3V/LMo8L6jsDYztJ8nGcdqPbU/wCZfeH9mYz/AJ9S/wDAX/kfXlFfIrf8Fxf2d0kt0bxH4kVroKYQfC2o/vgxwu39zzk+lIP+C4/7O7XE0I8R+JDNbhmlT/hF9R3RhfvEjycjHej21P8AmX3h/ZmM/wCfUv8AwF/5H13RXyCP+C537OZtjN/wk3iHyVfyzJ/wjGobQ2M4z5PXFevfss/t2fDf9sufWYvAWqahqEmgxW814l3plxYssc/meU6iZF3qxikGVzjbTjUhJ2TRnVwOJpR56lOUV3aaPYKK89/aK/aY8M/sv+FbHWPE7X/2XUrz7DAtpB50jyeVJKcjIAASJyST2rxGx/4LQfBLU9CvNUt77XptN04qt1cpZoY7ct90MfM4zTlOK0bIp4WtUXNTg2vJNn1hRXydd/8ABaD4JWHh+11aa+16HS712jt7prNBFMy/eCnzOSO9Ou/+CzfwUsNYtdPnvNehvr1Y2t4Gs0Ekwkx5ZUeZzuyMfWp9tDuvvNf7PxX/AD6l1+y+m/Tp1Pq+ivlG1/4LMfBW91640uG816TUrXzDNbLZJ5kXlgl8jzP4QDn6VDY/8Fqvgbqel3l9b6lrU1npwVrqZLRCluGOFLHzOMngUe2p/wAy+8P7Pxf/AD6l0+y+u3Tr0PrSivkab/gtt8CbfTobyTVdZW1uHeOKU2ibZGXG4A+Z1GRn61M3/Bab4HrqNpZnUNc+1X6xvbRfY03TiT7hUeZzu7Ue2p/zL7w/s3F/8+pf+Av/ACPrOivlG1/4LM/BW+1y40uG816XUbUSGa2WyTzIvLBL5HmfwgHP0qpB/wAFtfgTdadPeR6trElrasizSi0TbEXztBPmd8HH0o9tT/mX3h/Z+Le1KX/gL67dOp9c0V8lXv8AwWr+BunaVZ31xqWtQ2eob/s0zWiBJ9hw20+Zzg8GrR/4LIfBlfENtpJuPEI1S8VHgtfsSebMrruQqPM5yvIo9tDuvvD+z8Vv7OX/AIC+m/Tp1Pquivk3T/8AgtH8EdWkvEtdQ1ydtOiee6CWaE26IcMzfvOADwabD/wWq+B1zoc2px6jrbafbyrBLcizTy45GGVUnzOpA4o9tT/mX3h/Z+L/AOfUv/AX1+R9aUV8l6j/AMFqPgfpENjJdajrlvHqUQmtGezQC4QnAZf3nIzxVyH/AILDfB248VtoMc3iKTWl62K2KecPl3fd8z+7z9KPbQ7r7xf2firX9nL/AMBf+R9UUV8o6Z/wWa+CutRahJZ3mvXKaTGZb1o7JCLVAcFn/ecDIxTLn/gtB8ErPw5b6xLfa7HpV3K0MN21mnlSuuSVB8zkjBo9tDuvvH/Z+Kvb2Uv/AAF/5H1jRXynqf8AwWU+C+i3WnwXl14gtptVjSWzSSyQNco/Csv7zkHtU0f/AAWE+D83i5/D6SeJG1yMkNYixTz1IXcfl8zsvNHtYd195P1HE2v7OX3P/I+pqK8B/Zu/4KW/Cv8Aas+KE3g/wjqV9ca9DZy37QzW4QCKN0R+QxwQzqMH1rrf2m/2v/Bn7JGmaNdeMLi8hTXp5re0W2hEjO0ULTSE5IACxoxyT2qlKLV09DOWHqxn7OUWpdrO/wBx6jRXyNb/APBbf4D3VhcXUeraxJa2pQTSi1j2xFyQuf3ncg4+lE3/AAW3+A9vp0N5Jq2rra3DvHHKbWPa7LjcB+86jIz9an21P+Zfeb/2bjL29lL/AMBf+R9c0V8n3f8AwWd+Cdhq9tp819rsV9eLG0EDWce+USY8sgeZ/FkY+tQ2v/Ba74F3t1PBDqmsyTWqPJMi2ibo1T75P7z+HHNHtqf8y+8Sy/FtXVKX/gL/AMj62or5Li/4LV/A2fQ5tTj1PWm0+3lWCW4FonlxyMMqpPmdSATRdf8ABaj4HWWn2N3NqWtR2upbvskrWiBbja21tv7znDcfWj20O6+8P7Oxe3spf+Av/I+tKK+VP+HyPwY/4Sr+w/tWv/2yX8v7F9jTzt2N2MeZ1xzUWmf8FnfgnrVnqFxZ32u3EGkp5l7JHZoVtVyRl/3nAyCKPbQ7r7w/s/FWv7OX/gL67dOp9YUV8nN/wWg+CS+Gf7aN9rn9kmb7MLz7GnkmXGdmfM645xUuo/8ABZH4NaRqtlY3c3iS2utSSOSzjksFU3SucIU/eYbJ9PUUe1h3X3i/s/Fbezl/4C+m/TofVlFfKf8Aw+P+Df8AwkF3pPmeJv7WsVkeey/s5fPjVBuY7fMyQBzxnPbNQ2f/AAWi+COoeHrrVob7XpNMsXWO4uhZp5cDN91WPmcE0e1h3X3j/s/Ff8+5dPsvrt069D6yor5Ovv8AgtD8EdM0Gz1S4v8AXINN1BmW1uXs0EdwV+8FPmc471Yv/wDgsX8G9K1yz0y5uPEEGo6gqPbWz2SCScP9wqPM53dqPbQ7r7xf2fiv+fcv/AX036dD6por5Psv+Cz/AME9S1O6sre+12a8sUkkuIVs0LwLH98sPM4C96itf+C1fwNvtHutQh1LWpLGxZEuJ1tEMcJfIQMfM74OKPbU/wCZfeP+z8V/z6l/4C+u3TqfWtFfJVz/AMFq/gbZaNa6jNqWtR2F47xwXDWkflzMmN4B8zqMjP1pZ/8AgtV8DbbU4bKTUtaS8uBG0UJtE3yCQApgeZ/ECCPqKPbU/wCZfeH9m4v/AJ9S/wDAX036dD60or5Nsf8AgtH8EdTu7y3t9Q1yafT45JrmNbSMtAkf32b95wF716j+yj+3R8Pf20P+Eg/4QXULq+bwybcX4mhEfl+eJDFggkHPlP3yMe4pxqReiZnUweIprmqQkl3aa32PhP8A4Ofru3tPht8G2ur2Owj/ALa1ECR9cbSAT9lTjzVBz/u4569q/L7Vte0O8+JugwQ+I9KWG1gsoY/N+L908LDYr/NLs3RgljkLjZzjpX6nf8HL6X0ngb4NLp9jq+ozvrOoqItOtrW4lwbaMZIuQUC9MnqM+ma/MCz8VeL7T4paxetb/EIz6D54bUm0DQGkgjhtedwK7SwGQNrH5dpGTxXzmav/AGj7uh+2cApvKFZ9Z9Wu3YwNF8U+HnuPEl6NU0XyZLZ8Wj/Fy7Tyg8ij92wTMpVsHa5IIGear3OvaFB8NrWNtc0mSS4vpXScfFe586HaqAqYdmwKwIw+MnaR2q1pPiDxTb/DK61BNP8AHNvBqc1jayINF0PytRMrFgoBTf8AwllIBGcZxWh4j1vxRBonhrRRpfxDkiurW41H+zpNI0FvKbzxEsqBU+VSCQwfBzjHFeXddvwPueS0rc3X+Z9F/X6lXUfEOgp410GM63osbWtvahpI/i3eSR3OVDgs+zdERnaQmApBxVXTPGXh1NS8RXR1LSfLnt5Ato3xavFWLdIo+RwmZCpwcOcMBnkiuwn8VeJ7v4x38lvbfE64m8M+bF9sbTvDyzWfkQb9pk2eX8nsTkdOTiuVsNV8TxfCDxFqVrp/xCt9Pu47VJppLDQ0S8WedcK4Kea+4uCCucE88Gj5fgRGLaScv5V8T6v+rEE3inw7F8JIbRfEVhJdzao8krf8LXut8YWJQh8ry/LwcuN33uMcCr994q8PXnjTwrH/AMJNoscVrBaRmf8A4WzfNDyQ3zkx749ucER8DGVpvi1/FGl6H4Xhk0X4gLb6g97dR2baboTF2TahlWNUyvBCnzB2BXrWlpr+Krz43m0XS/iNLdWLWkMDix0BprHFsrxqXKeUu3cCACOOuGov5dugOnGzlzdJP4n3sZ/h/wAZ6DeeI/FV9/b2jxmexunFvL8XbyMPuYblSQJukbBJCyHDYOecVmR63o8HwtkX/hKNLmE2pjMf/C1rlZoGWL73lbNjKwON33gVxwDT/CnirxRb/DPXNat9P8dRtNAnnXf9maH9nu0nudrKdyb33lgRtyQR6Hi5rWpeKNO8MaLZtpfj9bfUrq7mTT30XQiWMSRqZVATIPz4O4AYxjPNHNpe34GnsrStzdbfE+iv/X4jtc8RaPPq/g+1m8YaZJb2lpb7J4/i1duqo8hYg7o8wsp3KQgwMbhnOasab470+6+KPiO+XXrMXF1BfAo3xluI1jBUhibgrmXAzwT85wOa2orzx1efGnTbT+yvH9xfaXDYGB49A8Ps9miwiXGAvlsEAJHzDO05wTiub8PeJvFNx4X8Raw9n8QLfzbVhLcpoGhtHemScKEdSgbax6lQdrD0qubX/gGMad4/F0X2n9plPT/E2lp8JdRtk8QWfkyalDJI7fFyZMEIdoFvsw565fB28Diptc8T6bI/hJpfElu1vb2kSwx/8LflkbAmYsfuf6Pk9F4xjd3qxq03iGx8KaOsmkfEIG8vLhorJtA0NlKrGu6RWCZDZABVlGVGQTW8kXjC4+MWkaauj/EWXUrKHT0yvhvQFmtDsDqB8uyQBNpUkjcODg0l2/QqVl73N3fxPpoZtp44UfFXX7pvF0H9rtBdos4+M8q+SduM/aNv70KowBn5yAKxdO8V2MPww1S2g8U28dtNfwtc/wDF3JkEw2NtU2+z5/m534+XGO9XtJ8QeIh4c8UalHpfj6O1ktZEa5XwvojQ3G6cbFdNmY1ZlGWGdpwO9P1bUfEll4M0u3k0P4hqt5qE8sNq/hvQyrhYgrukoTIYEKChGNuDT5tP+AHskna/b7T6K/4FbXfF9jcQeEY5vE8LWdrboYIB8X5ZSD5p3sBs/wBHLEfd4xgNWkvinTZ/jDrl1NrWmyXbpdsEPxom2ROYyN32nbmTAzxn5zx7VNdX3iab4i6fbtpfxI+0adbWaySDw1oUdxY4Tdx8u2TauCjZG4YFZOkaprsvhvxJqEdj8QI7OO2lH2keHdDCXmZwsauhUMAxALbd20j05o5tf+AHs0477r+Z/af6/eynpmvaPH8M9TRNescSXtuJJj8Wpo2ACuVUQbP3nOSWIO32zX6n/wDBtnqlje6l8SrfT7y3vobfQ9Cd3i8WSeIMSPNqRYMXAFucj/VqMHhu9fmNq9z4o0vwLpccmkfEaO31S/nkisX8P6GY5fKjAaVWCZDAkKQRgjoa/Tr/AINz7nW4/i58bNO1yPXoLjS9F8NRJBq9lZ2s9urf2g+xRajY0YzgE/N1zjpXoZX/AB16dj43j6N8om7395P4m+qR6t/wcOf2e37Lvw9XVP8AhFDZS+OrdHHiS2ubjTGzY3oHmpbgy/QqOGwTxX4s+DvD3gy88P8AiC3ktfhFDGbMXMDz+Fdf8y4kR12pAwHJZWY46MMegr9mv+DjXxXqXgv9ln4Z3mkXWtWeoN8RtPt4n0i6jtb1/MtrtNkUsgKIzZ27m4Ga/I/wXbeLLDxD4i0GO6+NjTalp1411Z2njTSlMZi6tJzjYjN8yjGQTjpWmbWddenY4/D1yjlU2pW9/ulta+6OOk0jwbefD1IzYfClrq11FkWGPwnr/wBqCNGGYvxjbnbjPIJPrU2vL4TlvtD1eHT/AIPXkjWkUhhtfBWurFA0bFRHKgGGY7ASc/MGrW0bRPEOq+BdWtYb74ySWuk30F3O8fjHSxbRSTIUy53Al2CKAcn7uOKxtS1DxLq3wp0TVo9Q+LNvDptjPaWty/jDT/s8jW80mTHHkOqoxAKjJJGQTuryem34H6FGTctJ9bfEuqv26mvp1n4O0X4o6hut/g3LaXwlje9/4QPXZ7VBIm7McZxsO4hcg/Lk9awtItfCK+HdU01tN+FMLOI7tRJ4M11riUq23YsmMqvJOMYbBrrtd1jxdo3xesNaa8+MkOpajcwtHFJ4801riUzR7UZXHdiQQSuMHB9ay/DemeJtC8Ua/pq6h8VY7/UNHmgmP/Cc6ZFJGsMokmVzuKsuOAmQdxJGcYostrfgyIyfLdz6J/Euny6GfrNr4R1XwRpC/wBl/CdLjTZHgMEXgXXYZWU4ZZHkAzLk5ByBjjrmr3iNvC1v4w0XWo9G+EMvmW0E2xPh9rsVpG65R0MP3X2kHJz8xx0puj23iHVvBeq2g1b4qNBpeqxuzjx3pihfMhAVfLZvmbIY71OAMAjOab4m1HxBe/Dzw9qy6l8VY49P06SKJj490+aMvFI7OVjyHiBLBtnJ+bIJyKLeX4D15rc3Vr4l1V+w6Gx8G23jnX1hi+EscF8lzFBfN4A1ySH5uVZIzxFu6bhnZnoaraNpvg+6+HOr2Mlj8IrWW3mhuoEk8D679qvCW2siT4yAoIbZjBG45GK6O98Q+I/+F5WOsWerfFfz9Tv1jRf+Fh6ZJIJJoykY88cAhypYsoGAQcday/C9rryz+ItFXUPirNcXWnCdpB4+0yIRLFKzybhkrIDsGFBDAjPINHKtrfgyeaXKnzdIv4l0evT+uhn67YeFdS8A6LJ/ZPwpDafLLatHD4F16FlHyurSygfvC3zdQCNp60Xt54SXxrY62th8HWE3kTE/8IRrq2UBIVSrRfdwvpnB4Per1tf6/r3w9m0RtR+LslrpOqvI7jx3pvkDzYUwpjJxvOG+cEgjjAINZfju/wBc/wCFdeHtWvtS+KC6fY6dbpBGfGunTIscE+xtsYO9PmUlVIJU4PIo03t+BpC7ag5btr4l117dS1onh/wjp/jHWLFbf4O/ZrmO5tvt03gzXpLdgNzK0XHyFioCsOm4U3w/o3g+X4beILebT/g/DJHLbXECT+ENfF7M24qwhbH3QvLKfrXRwxeLtP8Ajpbx2mo/Fr7d4iuZrf7OvxA0xpZBcQsVXzwdoxuBZmABAI4JrI8MReKoP+Ej0O21D4uXFvcadHczpB4401RD5UxzK/zFXQDgKCCC2eRiq07d+hnzyavz9Iv4l0evT+uhj6vpPgu98EaS66f8J3ureW4t5Eg8J6+J44wQQZeMZ3M2D1AGO1Wrew8Inx5pN9Pb/BhY7mS1leZfCevLYxA7BiUAdh98dzn1q/JB4g1v4WTWMeqfGJ7DQ9QlR1PjDS/skUk0fmEfeBLNySRnIz3FUPEPinxNpngzwz4wGufF+3uF021uIbmfxVprRlI5PLV4Ys7toVcKCuVYc5xmp07fgaxcpe6p7tr4l11XT+vMsaboXgOz8X+ILO4X4L2OmzQ3ipdXXhfX0tmC7nj8l8ZDMVUL7HB61VsbDwIvwt1KG5s/g+l6NRtjaRSeGdfF+SyuGCLjBjI5Of4lGK6rSdL8W2/xiazef41NqetSzwy2SeMNJnuZQ0bSMhLEryBkkgZHFZvhLSfEc+h+JtLtbz4xTKtrDqN35Pi7SWjiCSeWskhJ4AG5QQcrkcc0+Xy79DL2j3c/5X8S727fIwfElp4Jn8JeHo1sPg617FHch/snhzX2vNiyceem35SuSFI7EZxgVc1G28D3fxPs5FX4H+Uz2YuJ7Pw5rzWNvuRAfNIGVJ6uPUnFFhJ4i1r4WSRHU/i01rousXltFJ/wlelrbI20SMgJIdnywZipKtnjpWlq2qeKjF4W8RT6j8YoLy+sLO7hnfxPpMcly7kIksaddhO0LvGQB2xS87duho21pz918S669u39WPsD/g3l0vw/pn/BSDWl0BfCDWw8KakiXGhaXqNqlxGLu2Ctvuhh14428+tfTX/ByfrljoXw8+CJ1JNBezuvFV9bOdY0OXWreMtpdxtItoyHd9wG0joTk5GRXgf/AAQk0DVPD/8AwU78QQ6k3jiKRfC+oj7N4h1qyv2gP2m1OAluSEf1JwDXqX/B1br0nhf4M/AXUImvFaz8fmTNrd/ZJsfYpshJv+WbEZG7t1r36T5cvb9fzPyHHR9txhTje93Dqn9lddj8q9Bs9CbTtV0aPR/hzG1xbLe+cnw/1i4mnKNhotzfNCmzcxdR/CBxWfbroOoeHH09dO+G7RaXfT/IvgXVzJIXVXG6YDf8hYoEbGAMnIxWmdSk0H9oe2sm1XxqtnrVlqMCj/hZFmpB2sU/01cx7ANw2uB5pIAxmqXgG/mivfH3h46p41RT9j1ONV8f2VqzSEbXds/u7pyCB8rAoo5zXzul7fLr6n7NaSXNd7KW678r6dCz4i1jw7LbaH4kjs/hXcOlpaSSIngDVYYrVlYK6uo/dSd2LE/MDxjgU9z4R8N+KpoYdH+Gk9hrEk1kLi48B61vjjYMweOJj8rnaAAhJUE9ga4+TX7zxB+yhbf8THxWo0ZL23EX/CZWzWjYlVgfsLYlVeQMLkOVJGMVrfEfxdcWx8E+Jo7zxp++utPnaF/HlteMGMeG2Mv723kPYuv7sHBzU8639GbRw0r+zu95R3XTVdP66lzRLbwxnWtFksPhiitbQ6jGkngvWnnaRH8vy4z/AKxFKsWYkbTtHeobNPDuseFWt20v4XyHRbu5hEaeD9a+1YZjIPMZR93GAofDKCAar2+p3nhL45tE2peOGXxJoc9ikkXjaz+2Ahw/7y5UmPyRtP7tsFjgg1R+Het3za1490BdW8cRx/bkvStv4vs7ZXZUZC0zsdlxIQQNyHgD3pcyvb5Feyk4uak9lLdf4X0N7UtY8M2MWm+K10v4P3PnRwXjxw+EtZ+y23zhCkp/1eVxlgCQ3rk4qTVtN8I+HfiDJCqfB+zsb+K7hDzeGNb+wshTzAYy4DM427EKjILnPHNcdJqeseIf2SLeS81LxdNY6OlxZWqHxPajT0QTKwiFkT5uFyScZ3FsjgVu/EfW9ctvFfgPxTHqnjpbjUpogk934rsr26kM8QTdCB/qN+CCZBhRwafOrXt2YfV5c3JzdZR3XRXXQsadq3g+PTtc0m70v4RWkcYs723nuvDWtC5uSzOhWBPvY+ZdxYAH5cE4p2qTeC5PBljNJD8Il1C2mu4GtI/D+ttexiM5BlXogIG5TnIU8gbaqaPF4h039ozUNHs77xs1xfaM/wBsVPE2nyXRSEmRt9ycwiNNrHZkMCBimeBX1rXvDHjrSZrzx5PollqbriHxBYRWqtIjl/Pmf/WyPtHMZwwBHpS5ulvLYJUre/zP7Mt1107d/v6HSa1f/D1PH2k3Nr/womaOX7A1ybbSNcksbctsV/OmPToS4GepC54rP0c+A21rVbN/+FLx2bWt0RcT+HtcjgeWJlISHu0hByvGMAg4yK5XxB4n1aD9m/wnrlnfeOobi1kj8qa61GyTT/OhmMY+zQKPOcKAvLg7W9sGu013WtWt/j74Qf7V8YI5tWFxalJtU05tZkLxKSI4x8kYZ+rSffTvVc63t26d/mQ8PKK5ed/aW6+zr2/rqUdNl8C3nhO/WWP4Oxtb3Vu1osvh3W/tV0sqsD5SDqmRznHK5Gcmr2uaj4Fl0Xw7ewx/B+S6tbaXzo4fCWuFkWGY4kmzwTzg9sKM1H4Pn1lviF4yt/7Q+I3knTrO6mNp4i0w7JS5jU3M7fu1QKzhQnzKc5xnNZ93ba5f/s36sWvvHf8AYui3uoabaq/ibTlsI9uZDGEz5sp+fL7Mq5ORmi+m34dvmS4Xkvfe66r7S9Dfa38FxePlnW2+DsVnqkqwtND4P124s4fPQbgoOMsockAdCOM4FV9H07wvFouq6a2l/C6M3Ea3Ceb4G11p5DGwAVH6oCGOcDBwAcVneMdc8YaXoXgTxdd6x8QoNRvptNu7C6ufFdl88X+rWSKJTviOAVV3HyD71bUOqaz4V+NX9nLqHxLFx4i0/ULN4E8fWHnkko4DTglAg6sjYMhAwRg07pvb8O5lKE+XSV9H1W8d+n9eRXuk8L6/4Ot7QaX8J/M0S4aDyoPAuuJcMHXcWkkHLkEYw2CAV9ah1DxB4Xup9N8UWvh74Wzzi3gnmtR4D1iO1jlXCtGFBMciqAMtkBjnpVfwprGoWmoeKfDcOtfEGG3nubTUpUi8c2EKSv5bLukcnZK5wMFTlQoBHNYY1PUNS/ZltbhdW8Xxto9reW8ca+NLT7Ou2d3BFmSJVTkcLnewJHWlzL+vI0jRle13ulutpK/budpp9t4Y0zxpe+RB8MI11Pz7aO+vPh3rOF3gkOsBBRGyB0yFGTg4r9Qv+DX3T7LT7f45LY22i2sbTaEzLpml3enxs2y/yWjucMW91+XGB2Nflj4w8aahpnivwf4ok1Tx7cyXN/YSOh+IdnNKN0YQ7ZE+eCTjIZ1wg4av1c/4NprGWx1H49JLeatfN9q0Q+Zf67b6w3K3/wB2aEldvsec5PevVyq31j7z4PxAUlkzbe7j1XR+SRb/AODmzT4dT8D/AAUiuI9Nkh/t7UCwvtHn1SPH2ZM4hh+fPv8AUd6/GbRr/RZfCvjPWLjSvA8duj6gbO2/4RO+liVz8kaxyhsQKM5TzCdjABgc1+0X/BypdR2fhj4HySXkdjImu6i0Lv4jbQQZBaoVAuFUnORkLxkgc8V+G+meILYfs/eKJJNQke+vbllaA+LZI5mDzKcmx2bZwSMsxbnAbAxUZ1K2I+R1eGNFzyf/ALft06s6bV9P02z8J+E4/s3hJtSvtQgXH/CH3scgiWHJLSE7ZgWPzIg3Hgg4rQOh6XL8WrWzS18IrbR6TA9048D3+ws0vzn7PnzGYAY8wYVhwMGuf8Xa3p5X4eWy6rvhWZpppV8cy3CQHYindmP/AENugBUHIGOcVqWfxA0y1/aTvri4upPsen2MEcBHxBuVhkMSq21b4IXcEnIQABWzjpXkqUevl+R+gSoVHG8b7SfT+ay/r7x2j2ugzaf46uDD4Sa0sZtQFov/AAhV7IxYDEQXDYtgeoEhPln72ao6hpek23wa8L27SeF2ubrVbPbcf8IheLOY/KJJe6J2ygtgNGgJfORxWD4R+IGn6d8FvGTO9y+qau8kAV/FtxBNmR0YSG1VcXOAMMZGw3JxxVjxT400l/C/w+0yCR/sUc63V0F8YTzmE7UUKyFAlmV5OVViORnip9pG3y/U3WFqqpbW3N5dI/5nWa74at/+F2aDp1va+GZZ20RJHj/4Qe8giEkkuVX7P/rJjjBWbhSGx2pmiSaL/wAJB43u2Xwl/Zlnc3CLK/gS6kEu2EcJCGxbhmGMOwKElunFUI/F+m+JP2ibwzahFY29vp0VrZ3c3ji78hfLRc5vChkkVj/yzUKBzjGM1zfgzxHb2nw88aT3V1b3F5PPOqwN4puLfzN6hRIsCg/aCCeGdvmAwQafOr3XdmUcLUcEpXvyxXTq7m/Bp+mR/A6xuJrfwv8A2lcTWC26nwjeNMVaT94TdZEZxxkAEuOFxWz4h0TS08Z+HLW3t/CRuJLG6lvAvge/hjU+aoUFCS03y8h1AVeQck1xmseIrO2+Gng+xjvoXae7tnuXXxbPI9sqA5RodojtlyVO4BihXiuofxhp2s/tCaTD/aEaafpulJBHK/xAufLuHMgY/wCnMmU3E8xooXvnIpqa29AqUKivLX7b6ehreF7DQYPiZ4qkW28HyaTY3LrEJvA2omOQLbDAEKNvgUt1DtkcseOKwbPT9Li+CEc01v4Se8uJLKO2dvCV8ZwDNlmFyD5ZJGAVwd6khcGmaR45sYZfiPqH9pLb3l1c3oslXx3cxNGWQhWQbC15gZUM5G8HBrE1TV7a2+FPhW3g1lylxeWqXkEfjGSRIQuWBktdgFuBgkOC2wj1odRfmEMLNzV2949uiu+n3nZeJ4dJttZ0OzXT/AsNxFbXVzc3C+DdRiaRSUCiSNj+8VcHY6ABSWBzxU9vPo8nxB1ydtL+G7W9jIkf2ceGdV+xyPFbZO0hvNiPy5IYj5ucBap6lqN4nxs8N2s+sXElvDpJfT1b4iiX7P5kuSi3m0iMkjcYWGO59Kg8LeNdWbUviRqyaprS6m0t5vnHjxIbhhs2KHBXF4SMAsuC6qw4zT5tf66I51RfJ8X2e66y9P66GPa3Olw/B633WXg2S+vDZRRhtDv1vrcPKHJEgIim4GGzncv3eea29f8A7BPiHw7a2dv4D4tLy7vZ4fDOpbQxdV2ywOxzgLlWjACjINc/q3iaay+BHhPTxe6glneX9sWRfF6yW+EGWLWwTdbEMeHJIQhsZrc1fxneav8AHPSIZp9a8zSdLKwxy+PI2YMX3furwJtVcBcxHOSCT1xUqXT0OiVF3cr/AM73XRW/D8OpatL3w1F478UXcun/AA/l0fTrgQwxP4a1Sa1uvKtxt2/P5kAYjLK7Da2T92sOP+ybX4F2k01n4Mkv9Qms7e2STw5fLewbpC7SLcAiOTCrtZfm3qxwM80/w/47k1C1+JGrNe6y01y915iP40WG6eMoEXzEKYvOcAsuC4BHA5rK1jXJIfgb4Qsf7Rum0+bUYJHjHi7zYYZUX5mNrtzbEBsB+QvIGaXNpf1/MuOHfMk2949V0jft/wAOdj4p03T4vGPhfTY7HwWbhrG6u55YvCOox7Q0gURyQMcyYC7ldAAN5BJNfqT/AMGuV/b6h8Zv2lmtLXS7S3hPh+BE0+xmsYW2JfKW8mYmRGYglgx6k9q/KnXtd/tb456LZ3OqagIbPRVhtWuviGZVXe+5Y4r4JiNSxP7ojrySK/UH/g0/1ibX/iZ+0zeXEt1PNPd6MzyXF59tlc7tQBLT/wDLU8ff79a9TKpJ4pW8/wAj4LxAotZBOUn0h26zue1f8HTeoRaR+wl4Fu57eyuobb4iabK8N5GZbeUCC6JWRVILIe4BBI4r8YvE9j4ZtPibp7rp3wzeG8S73rbeGdWWzkLopGI2bcxXc2zZ9wg54xX7Hf8AB2LIYv8AgnX4XYErt8d2JyO3+jXdfj3438S6/F8Zfh/r0eofEpb7U7tbiBrvxhaTXjLLEn+okU7bdnVurqBggY4rbOpf7R8l+bODwypt5S2nb3qnW32I2KHhrS/C9t4q8SWM9n4BkhuY7S6t4pvC2qyLGy7kZYtrCWJSMsxbKscAdKwtAXQdQ+E+rQS6b4Ga406XUBFK3h/UWvBuJZR5yNsGONgk5Qfe71vaRceJvDv7Q2t6eus+P7f+0NJEMwj8YWg1B4RIp8uS6L+WVEgJCAhh+ecPwBe3F18MfG2nx3njmP7Nf3VzOtt4ptra1k3RFf30TMDcOdp3MhIYYAHNePzdPU/SFTdubmb+B7r0NjxR4g03VrXwnrhh+HNrb282nzTaZD4IuYLfcAFdZpMfvk5ywV/3h+72rS+3aDY/G+2uLq8+HMlrdWWoQ28bfD66FrDuGYmFoAru+eFYlvLAOc9+T8W6lqV7+zXoN1JqHjZls4beNFm8VQTWC7ZiV8u0DebHjjbkfKRngV0XxC1fULP9oTwbr3m+PZI5rl1jju/HFtcagvyj5IrtCRACCMs4AP50c3X07kfV94pvaa+z01XT+uongrWLWLUvF+nzf8K7a6mms5ILy48AXE7KNh3iFFT9yvA3B0+cnIx1rIkax1z4Cy20d14Ntru3OopchPBM4vJQJS0ZF2FKjIyF+6Yxw3StTwLdXg+N/i7TpJvHE1zc6bFcoyePYLO5ikXy/me43eXc4ViEjyCOOmDWb8PtXvtS+C/jbS1uPGOzTdSuJS0PjOG2hCvE+5ZLViPtBJUl3QkMDjBJFHN+vcr2bT5l3g/s9Vbt/XQveLr/AEbU4fBuofbvAdrZRz6Y80MXgO4t/mCqJRKcf6Qo+YsqtiXqoGRi+dc07SvjZL8vw4vrK+0y9jt2l+H1ytrbneDGRbBQ/mdNrncEGQ2a4zx1q2sa3+zn4VvvtHiLydJWJI5JfFqXVuGWSRRss8iS3ZTt24BwCTkAius8SXd3pP7RvhNbseLvLvo5LUwD4iRzSOrgfcvwSIFLYLBwAcY96ObW68u4Sw/u2b6TX2eny3/pkPhS9tX1PxXp0k3gBJzc2ssV3L4CnmLKYirrEgT9wo+UkMuXbkHrnnpbq1k/Z4ltY5PB8c+nG8gkI8Izf2hdqJgUdr0qVU8sB90oow2Sa6XwFqmpWXxj8baQl144a4v9LilBTx5Bazo8ZjIaS4yY7nAPyIGDcDsGFYHhCTUvEP7O/izS/t3ixrrS9QuJbmNfFkEWnzb0z89o7BpjlJCzoWDFl4zyU5aff3KjTalzdL039nqrdv6exv8AjbxfptrrXhHWLeD4YzWa3VoXsY/A1xb2mfJ2v5pYbp0JySFfLMcqBUkWs6WvxQuLfULL4b31pq2k3CqG8DXkUFkRKHURxRhJQ5+6Jedq8HrXI/EHWtSn+B3g2+fUPGRWza3SBbrxLDc2kRTcQ0NureZCc5Klh8vTPSup8UeJNR0X9obw7fSal8SPN1SK5Tc/jO1mv8S7vlS5VikSZILB8bsduz59fu/El4V8ll2munTVdP66kXhfSvC6xeJtPns/AUzQ6gt1bLN4W1V3VXhGURlYPHGpAwsmSWJIOKw3/wCEevf2eLW4+w+C5NUsLaSFyvh+/S8O2Yspe5VvIZyGIyRwoAPNb3w7vfEFp8Q/HujNq3j7bqENszi18ZWlvPJtIMRuJ2fZPhcgBG+XPPTFcvoN5rUv7N3iLS59T8VnTdKvLnZZweIreLTUkbYHL2xbzJskDJQEHgjvRzK23Rlxovm+J/FB7rZr07nV+M5/C51/w/q39m/C6FL25jllW08NapHZgPC37t1ZsMASBtj5LYIJGar2Hh3w1b/Ey4ia1+Hy295ozAQXHh3Vvs6ukqnMaZ83ziBjdnbjI4JrM+IHi7Upvh94L1+41bx1MtpcWTQtc+I7aaGAQqAvkW6ndCyhMIzL8oAzXXXureLtA/aqsVg1D4jx3GvWN3bGJ/GNpJqjxy7meIXW4xxqTsJU7S2DjGRVcyb+a6GPsZxhZSfwy6ro79vx+8wfBtj4ZvrTxPbTab8OwbHU2aET+H9VkuHRo+PLCNmOJcH5ZOcnPNZepQ6D4j+AmmXRs/Adne2MKws1roWofbm8qYZM8wJhZnDHLf3eOCBWx8M9d1q18R/EHw/b6x8QIbe4uY7i8jtfFdpbyXBjDBWuJ2bE7Ak8xseCc1g6Jdatq/7Kd8DfeNDpWky3NukSeILeHS0d5FlYG1LCSTO4M2AcnkdKz5la3k/zN/ZSU+a7+KHXo16dX/w5+k//AAbtWujr/wAFFNSuNLsfCtm9x4Ov2f8AsbR76w3A3NqRn7QSrL6BOfwr13/g7tnaz/Zg+DcqhWaLxpM4DqGUkWE55B4I9jXl/wDwbx3mr63+3XY6lq114vupLz4dzGN9Y8QQalC6rJaIGhijO6FTtwA4yAMEkivTP+DvUZ/ZZ+D/AP2OU/8A6b56+mj/AMiyXoz8Qqxf+vNGL19+C3v0XU/Jr4jzRaX8ffAsyx6dNb3y27i3X4e/YsLOicGzb5brO/KlWIOQQRkVmeFtGmi/aA8T6cr2bTzWMtyS3gVp1iaNQ7J9hK7oAqhtzqCBt7g5rjfiDrl1c6J4HvGv7iWa3tVVZ/8AhIJLzyijL0Q/NasvHyrwAAR0rUutavbL9pJbqTUgGuCNs48UzMjwvD8qm/B8zaRjr6hSBXy7mnL5r8UfvUMNNUrJ68kl03jIq+A5RefB/wAaRLJZLLZMJireGPtbvG52ki7AJtcMqgBsD5jzmqfih7fVPgV4fuY7qyNxY3L28lsnh37O6nLYLXqjbPlcHax3Ak8cVQ8D38lvpni+3+1SW63NgxaFdYa189lkBxtHy3OOfkbqMkc1HHftN8FZrZrqRlg1VWW3GqsAgMZyxtD8pBP/AC1HIOQeCKx5tPl+p6Hsmql/7yfTrGz6f8E67xX4psX+MHhLXnm8OrDcLDLLAnhI29napnHz2uMXPUnKkhscGk8GapDp3xx8SQzXGhqb6C4himn8JNcwl/lYeVZbd0DEKcHb8ozkc1w3irVZ73R/Dt0Z5Ga3tTbox1BriSMxucfKeYQARtUccZHer7eJ7iP4wrqm7UI5p7lWbytYf7QQ6gEfayd2SDyxPcg0e01v5kfU70+X+6106PToaPhWeG7+CHiixLaPHNDeR3m86C9xfOANoRbsArbxE8lTjJH4U3xrd6bqHwh8LXUVvoNvfWbNbSx2mkT2810FyS01wx8uZumQmD81c1oviZtDs9asnutWjt9RhMRhtr0xRTSBgVMyjiVBzx6kEGibUXvvAMNsZtQZdPvGfy5L3NsgkXjy4T0bKMWcdRtB959ppbyOj6q1U5unNf742O78Y+IdHh+NOl6g2k+EhpuoW0TzQJoV1bafH5gOX+zswkfbnIKHDYGKXwlZaPe+PPGmn3K+Fba3kilNmbnRryRg27CpaW6nfG2G3fvM7QvPpXDeJPGtxruo6TeteavcXmnWsEBmu7rzmQxcIIsj5I1UKFXnGK2dP13VE+Lt82lXmsRXeqNLC0n9pqbqRHXcQ9z0OcAs3GQCOKr2i5r+ZhLBNU7bPltv2dySxXS5v2f75mfw7/bEOprGkf2G4fVTEVB8zzgfJSLPy4I3E5rY1u70e/l8CTeT4Hg3XEf28Q2N3HbKmY8i7lJPmcZLCLlct6iuL8P6rL/wh+uab9qvUjm8u58iOZY7eUxsQWkB5cgN8qjuSe1afijV31j4QeGVa61q4/s25ubQrcTx/YrfOx1SCMfODtJLO3UkAdKFU0+X6lzwz5995Pr3id7ct4Xg/aCuoo2+HsmgtZsEuG0S/XTXKkkGCAt5zu5AVWJwQ3aqPhdNFg8C+OdNuI/BrXVjcSPZtc6DeSandAq4/clTiCOPbnEv3SwznBxn/wDCY3bfG3wrq02oeKmmuLe0D3Md1BJqMisuwiH+CLPIRW6A5PWoPCuoazB4w8X+Hzda3u1SO5FzHFq8cRklj3ENcTtkSKBu3AEbycZ5xWnOr/N/kcP1V8i12jF79nr07f0iTWZ9JufgHp91BYeHV1CCeOKd4dFu1uWKk5El0WMLFhglQATntXV6/rOk2nxQ8G6ra6b4LtVvBK7xp4OvFsiXjAXdbyE/aME/L5fAPPORXA22t3mpfs/XNhJca49lpupq0UX9qrHp0ZlGT/ouNzykrnePujHSrnj/AMaaprHhnwPqs2q+I5r21ha3hmuddFx5AhKIogjXD2qqoAGeuAR0oVTT5L8ypYVufL/emt+8dP66HceDb6HRfip4rsJLrwzJJqmnwzRT3PgCW5CSKynbDa7d1vld259pVh2yQRz/AIN1G1n+A3ia1W70VdQt7ud2ifwe1zcNEycFb0A+RlgQFbG3Gc9qsSardaJ+1EryHXLhL5fKjhPjEfahG8Z2I2oocYU4ODxgAEVzPw5vLgaJ46s0mufJaweeRRr5st219pOzO26PzDKHJK7iKfNrb17mcaF489+lN/Z9O39dDS8calb6r8DfCd7DNpPnaaRFLBF4V+yu0gd+ZLwDZcfKF4Jyc4IyCT+2f/BsUiqPjkVmtZY5H8PyL5Phz+wyoaK+bDRYAc8/fXIIxg1+HEupSah+zskK/aFj0/VPLbOusUZmDOD9hY4AwceYo65z1r9tP+DVTWP7e8EfFyYOZFEXh9BnWJNRZSsd8CpD8wkf88hwO3WvVyOV8UvQ/PvFKk45HLyqW6dXdf195tf8HTs0lr8C/hpJGl63l3erszW1rBceWPsa8uJgQqZwCyfOM8d6/C+9mmi/Zzs1aLUFgk1ZwsjWdt9lkIUkhZgPP3jjKk7MGv2r/wCDuu/jsP2fPg+slrFcNca/fxIzMwMDG1U71wRk4BGDkYY+1fhRf3ol0LT7dfsuYjKzGONlkyxGA5Jw3TjHQE1GfStibeSOnwkw/NkcZf8ATxv7keoeMtQ1e4+K3gO3it9ae7tbC1Fvb3GnWKTgM7sREqL5cikZZTKCck5pvgLxN4gX4kfEDWIV1b7RHZXkmoTQWViZoVJKEyK67EB3YbyQG5O2uBttRguvG+nvJNpdvb2piTz2t5DbSCNR8zoDubdj5sYySelQaPMradrVy32NWkiVBHJA78vIM+WRwjDHVj0yBk15HtNb/wBbH6M8EvZ8jS2S27yv/X4nVQ6pqun/ALMM1u/26HRtR1pUQrBa/Z7iSNC5BfH2gsuSeDs59a3fGWoeIrrxr8ONPuodSbULOwge2tZLWwG1JGLfulRdhDYLDz8t3PFeZ3s8KeFbKFXspJjNLLIFiYXEQwoCs5+UqcZAHQ5zW1cQWKfErT4ftNm9narbLNOmmy7X2xK0m+Ene5B3K3I3YzwDR7TS3oOWFXM5NL7b28rf13O28PePtcX4v+NNehvdcaW1tZTNerHYtdQiMBE3lh5YHy7T5PJHAzmsHT7zULX9mzURJ/aUdncaiscbRtbR2s3KlxJx58hBHGDsUkHvXP8AhloTYeKLhVgMYs2WNTp5mCh5kAZecQEdnOcZ2jOc1Hdqtp8LrI/6KzXmozEn7EwmTy0QbfPPBX5wdi9M5bqBR7R2v6iWFipJJLeHTsrnW+NE1Kxvfh7ZXUerJ5NvDJDayRWhOWdeYkQYO4BcGbJbAzkV1vhjxfr037Ul/fWkniK51TRbIxQSJbabLdWohVMZVlNsETHVRkDHvXnusCGTx54ZsZn0uG3srW0VpxpUkaSgjzN0sf8ArJid2CwxuGMYGDUPhbVdNt/F3ia8b+zFsxZ3bWyT6W8kUjMwEaJErfuSSRhmYhOnJxmlUafzMJYfmpaq/uvp/NL+tDc8OeJdWl+CfjS9RNUkj1S8xe3KWVm1q3mMjMJHZfNRicECIgA496veL2uE8E/DSPydejlmnDIk2mWKxSgGMI1vIg3yk7mBWfj7vXJxw8Fwtt8JZ49unM9xqSqC1pJ9rAWPJ2z/AOr2eqfezz0q9rmo6deX3g63S30VEtbaFb2W3huE89mlJP2gEks4XALRAArjHNHPp8l+Zf1ZKpdL7Te3aNj0qxudVuf2p76O1g1iW/0uxWPy/wDhE9Pa6PlojES2OfJYE5yVO4qQfUVxuj+KLgfCXxdeSQusesXrROq6DbS2YkkKtxMcSWrrglQny9vWs3TdYsU+JPiC88nRFhignNqjXF0tuGXCoYXB8zdxlN5xng1k293ap8KrqPFl/aE2pxsW8+ZbrygjcbP9U8ZYg5PzKwHY0Op59yaeFSsnH+RbLpr/AF2Ou8WSXkegfDi1lh1IGZY7i1EmiWsDOhZUHkzL/wAfKllOBKODweprUstS1aD9ofxDM1vqC6ho9nMZV/4Rmz81VgjUkz2bfulGF+crzjLDNcLquqWN5qnhW3SDT0t7O2gW5KzXDxTOz7nMityjYO1hFwduR1p39u2V34v8SX32ewjhmguPssMl1cSJGWO1RFJnexAPy+YcEDBpe01+78i1hW42cekui6y/r9TU8MalcWvwM8SzP9pS1vb5Lc7dHt57VpXAcL57fvYHARiAnBAx61L4o1S7lsfh7p7LdHyYUnhRtKtYZcPIoGyRebhTtyvndDwe5rkkuoY/h60OyzN1NqAYvvlFwqLH0x/qyhJPP3gR6Grmq3FiNW8N+XJo+yO1gN1JFHN5YbedwnU8lwMbvL4IwRyajn0/rub/AFdKblbq3t/dsd14Wvbq+/aJ1x92rXEtvBPHK9vodgLlFjUBi9q37hcYwdvPcHrX6m/8GfEhlvf2gGbG5v7CJwMDP+n1+PFjqliPE2v3DW+l/Zpbe4+zwss5iBYgJ5RB3KwzlS5xgYbrX7Df8Gen/H3+0B9NC/8Ab+vYyWV8XH5n574nUeTh6q7daS27M92/4Ox/+UdHhj/serH/ANJruvwq8R3djJ4e8AzbfCot0eMXEcOg3UO4psDG6lI/0nOPmERPfGM1+6v/AAdjf8o6PDH/AGPVj/6TXdfg/wCNLq8X4ReB5LqfWpbWNphD52qRSwwqsmStvAvzQ9SSX5JPHFbZ9/vH/bq/M8vwljzZN/3FkvvgjpLPUbfTf2mJppofBckN5bOkX2jwndf2WpeLAaOx2CXepztYqRuGTkVn/DW6tY9N+IkMo8Mi4kiJglu/DNxevw0m5bcquLTIPWQDGFHGDWh4i/tbUv2ndGmutQ8WXNxeJHNbzza9bPqYRo2PF0D5UfzbuDjAOOprL+GlxdHWfH0K/wBveY9lcSOlpr0dsMqzZ892/wCPhcE5CcsenWvHvaXzf5H6NyJ0b315YdV0kU01FLz9nHyPL8Nwta3ZTKaBN/aU4LhstfBfLwM4ClgcDGOaueOdQs59W+H9+y+Ho7Fbe1+0Cz8LyWscZUpvE6thbtuCSUYh8npms7RL+6l/Zv1eBYdSktotTQvL/bYjtYQQhC/YusjE5JfoOPSrPxRvbpvh78P7rZfppsdmQgl19b3zJUfDmOEc2gwANpGe+TxU3935L8zaMP3tv70l06xv/X+R0FleWSftMagjS+GBZ3Vu6xzJ4MmexjPlhkxYFfNTJAUsASMk8jmsv4btHPovj+Nv7DVrdXmSSbwtLeq2S6lY3VS1p2K7wAD1IxVu91PUrL9qmzbbdw3tw8NuEHiwM0oeIKudR6KpyDk8KODWT4An1ea/+IFvYzz200ljcS3EB8RC0LBZPmyTxeFQW+TqwJYVV/e+bMPZ/u7/AN2HVdH/AF5dinqES3n7OVhMsdgslvqskD7dAdJ2UKGDfbwCjj58GMkMPl4INX/F+pae2u+Abh20b7IsNu9yIvDLWyxkMm8SxnAuwOfmU/MMjjNZMXiKZv2f5NOjmuFhTVQ00X9tny2BUEH7DjGMgDzc9Rj0o8fa+bvw54KnPntHZ2ewA60bxgUk5ATANr0yE54IIqObT5I640pOdn/NPt1X9fqdYuq2tn+0hfr5nhMwXkflRSnwhMbFflDLtsSvmoeMZCk8k8g5rD8NNHc+D/Hlv5miGdX8yNH8OyzyzDc27yJQp+y4wDh9owfUVoXOp3l7+07p88cdyt3dPCsAbxTuc74cI39oY+UHIOT0Hymuf8H+INU0OTxlaLJqDXF1ZzfaWh1f7OoKvhmkxxcD5mGzPzbiabkr/NmMKL5E1vywe66P+v0JtbvILv8AZ50eOP8AsJZ7e/ljlEWhSRXz5LMrPe48uRcHGzIYYHBxmtnxZrVifGXw8vpE8J/Y0gtHuIovDM1rbIFKBxcx4Bu+hLNGSH5xjOK5iK9vpfgXNAy3T2EOsLtf+1MQxuY8lRadyevm9ulTfEfU7qbwp4IlZdSj8jT2EU0+rC73lZTzFGP+PdRgAIeSRuqebT5I29inNRf801uuqudVps9vpH7QfiCOL/hEbq31CCbZLceE7l7KDcA4MNls82JhjAJUgZPY5rD8D6hAvwe8X2fl+GVuPNWYSXGgzXWoFcEbYbhVKW6Z5O/ByOtakl1qzftLs3m69BcXQO1Y/EEb3phMGVRrwnZyoG72yuM4rnvh5dzJ4T8cQouqFZLAO62+qrbQjEoBMyNzcKAeEXnPPTNVza/eZxp3gn5U3uu5b8T6jBf/ALPugxRx+GYpLW5eKT7LoU0OoSks7bp71l8uTAIAVWyBt44JrS8W3lnq/wAWvCt5JD4Rhsbiztl22vh67ttPBVdv7yHHmzvnBZ0yGY8ccVgSXEkvwCjVZNXeGHVyrrJqMf2GNim4bLb7+8g8ufl4x1q94yfVtEvvAd2t9rislnbzWLzapDNJbMJOsGw/uFzgqr4IPJqeb9CvZJSst7zX3q5r+EJ7WP4y+Jo5v+ERZpoZBDJdeGLma2RgytmC0VN8LYBHzrgDOeorF8FXFu3wm8VQ48Orco4cPPok9zfMhwNsU6qY7dcjPz4Oe9bGkz3UH7TGqK914okvppLhfMTWoI7+ZzGWIlus+WQcHcVPI4HNZHw7mvv+FZ+Oo4ZdYFr5MbzwW+qRW1qx3EBpo2+efbk4VO5yeKrr95LjaN/Km913sfpp/wAGxMtpP+2Xam1j8PxsngO8jm+w6RcW11I4urbLT3Eg2TNzjEZwMdK94/4O9P8Ak1n4P/8AY4z/APpvnrwH/g1uv7i+/axiR7rXJrW18JapDFDc38UllAxu7Vm8iFf3kZOcszcMelfRv/B2xZw3n7KXwv8AOktYWi8UXEkRmlMZZhYy/KgAO5yMgKcDqe1fU0dcqfoz8DzC0OP6f/XyH5I/CDWI2PgLRZPm8tZrmP8A48hGA2UJAm6y8EcH7n0NIniLUG8a2eq3GYb5pYphIlonzdAHEeAjZAzjGGPXqar3UO/wfayebDxdSJ5f2ktJ91Tu8roq9t38RyO1P1uL7NNpMha3k32sTlEujNswSMOf4CcZ2D7oIr48/pGKVrPu/wDM1fCulXyeLdd09bPUmuDZXiTW8NmjSpsVnO9G4RV25YryoBxUPh+ye9+F/iRx9uZLO4s5iI7RZIE3GRC0kp+aM8gKBwxJz0FaUFpaj40X0aX2izWMj3G6cXk62TI0bfdc4lfBIwvJdlA5zWT4YsfP8LeIoXa1ikjiicLNM6zMyv8AdjiX77dclhhFDHgmqX+ZhzXXN/gf4ia3bXE3w40G4eG++zrPdQRzPbosDEFGKpIPmdhuyQ33dwx1p2oaPeWfi3R5J7ee3k1KG1uofNsQBIrgBXSJc70ODjj5/Tmnyw+b8IoW8uxLRam3z+bLJdKpj6Fc+XHGSO43O3ThTV7xLZLNZ+DZbW40uO8kt0ib7PdS+ZEwcbGnmc7Ecg8KhAjUDODRb9A9pb3fOS/Ub8P/AAtfS/ES/wBJaG6h1E2t5CYE0s3kzSeU+IxDjKEnA3f8s8lu1Y2jaVJqPg7WJk3lbFoJGVbNpMgllyZQMRAZ6EjcSO4rutNuLVv2jryRYtBtrORpd62viGa1sY1MeGIvMmR+5JGS5yADkCsrwRpcQ0bxxa7tJmht7YlZZNeNlH8jsVMUXH2snHyoR6HjNVyfqY/WXrJ9oPp31/r7jl9Q8KzWXg6w1Y/a/LvppYRutZEhGzGNspGxycnhTkbea3te0hYvilpcf2q1jW6Fmzyx6TJGkBZUBLW5XcxH3iFBD5yPvYq5n+0P2btjyMzWOriVA/iFNoQoVIXTz827LA+avGM5rU8d6fdafe/Du7mnkupmhjj85/E0NyuUdTtWRDm0Ubuj8rnPakoK1/QcsRJy5X3muna6/r7zh9K0aN9X1i3We3kjt7ecxzPbSMrlDwVUDMbNjALDA3YOKgjsVl8GyXBMKPDerGo8h/MlDIxb959zam1flPzZkyMjOPXm8KXHg79qi5gs4tfim1C0e5twNds3vLnz4cMVuRmGcMWfC9XGBwa5L4eeE7rWfAfjvSWtteupdKiW8FrZX0KxwSQsweWaBvmlRV3AtHymQTkGq9m729RRxycefpaD3XV2Zy/jCVZNG8PvHFZwsun+WwggeJ2Kyv8ANIzcO5BHzLxgAdQalvdOht/iFJaL9kmhkk2fu7KXy13p2hPz5Ut0/vL3FbviTw5rV1+zv4f1aRdUudEsdRntUm8+KaxtJJRvEQCnzI5W8tmKNwQAw6mtr4j6FLp/xW8GXkkOu29vqlpZvFc3eq25NzsPls8F2nybBtChn+ZCCG6UnBvX0KjiIr3V/fW/Z3POdLO/w5qsf2aGRlETiVrdnlhAYghXHEYOedw5wBUN3fTTaBawG1hjt4JpStwkO2SZ2CZDP/FtAXA7Z967rwb4ZuLHxz4z02b+2YUh069Sa3t9QghupMfMocMdsyAgM6pklQSOlc9YaB/aHwjvr9bJ5W0/UEDXC6goECOoBDWx+blguJBxnIPQVHK7G0cRHmfrH8VoY3nSHVbOS5SO2X90VY242bFwA2zGGHHP97Bq3od60euX5he3dbi3uULtZCZSpRiSqYOwnHDDGzOeMVf8aaDHYeDPCuoRxMrahbzK8h1GO58xkkxjy1+aDAI+V+TnI4NWLnwmIPit/ZtmumW8cw3LEdbjNsqNFuKG6BC9CRzz/CeaOVple1pyi/R9ujsY+mTqPBOrR+ZtkaeB9n2MSbgN4z53WPGfu9G/Cv20/wCDQfWbjVfAHxyhmZGSxvNEhhxEqsE8u+bBIGW5Y8nJA46V+I2mWkkmgatg2+IREzFrsRsfnx8sef3pye2do5r9sP8Agz1/5Ez4/f8AYR0T/wBE3tevkP8AvS9GfnPi0l/q/U/xwNv/AIO/f+SB/BX/ALGW+/8ASQV+G+o6dCljozJDFE11ETI/21ZPNPmsuWUDMOAMYbJIG7oa/cj/AIO/P+SCfBT/ALGW+/8ASQV+MniLQbpPEXgG1eLVjJcWVr5cb6dDHL80mf3IBxOp6q0mCc4OBV57G+Kfojn8J6vJkEF/fn+CRgz6DZ23xA1KxeC1+z2/2hY411VWiBVGK7bgDbJyMjgb+nGaxrJlGj3oLYcmPC+dt3cn+DHzY98ba9A0rTbqX4p+NtsesSyW9pfGRotLt/NTPGZoSdkS4zuMeSh+7WBaWt3H8FLybyL5bKTVoh5wtomtmYRn5TKf3iuM52j5SOvOK8eUf1P0qniNk3/L17nOXMEf2GzKeWJZA4kxJuOd2BlcfLx7nPWty202G48f3cbahaxxwrO4uGvmMchSJiFWYLklyNqkjksAcA5rW8R+FNQ0fWPBVi9tqVvcz2sE8KSRwRs/mSb1aFwcOGDAgycg8HgVo6PpeqXvxZ8ZyQx6081laX0t2scNtDdBD8reZEx2bQWG9Y8kDJXpRGnZ2JqYpOLknpZ9fOxxGlmGLwlqjF4xcO8McamZo325JbCAbXHAyCeOCM0auYU8P6PFFJG0jRyyzBJnch2fA3RkYRtqr93O4bSfStqxglj+BF5J5eoeTLq8QLo8LWgxEfvr/rVk54YfKRkdRXQeKPD0z+MPAenfZdWjK2FuFSe+tMP85Zjbzr8gTOSBLyrZU9KFF2/ruEsQlPXu+vaJzLGxb4lzHzLU2Nru8o/bpfKYJEQm2bG8AkDGQMEgcCsrSxGnhXVJGMLTu8MSE3LRy4JLNiMDEinaucn5SFNei+G9FvtR+IvxAvvsniaa406zuGkMX2RbqIuwQtcRt8jIQWD+VyCQRWCfDOoaV+zoupyWuqrp2r6qBFcKsDWLNEpUgnPnJJk9OFYeuKOR7+pMcRG6jf8AkW/z/L7zl74m38N2EIulkW4kknMaXJZYTnYA8eMI/wApOepUitN3vn8fWiNMhudIWMK39pR7VWBd2Em+6PunbjPOAMmuq8T+Br6/8W/D/RIbHxEtxcWcCJbzadB9oZi5ZjAsZ/fJkkr5hDHGDV/wvaaxqXx28UXUNvfXep2FvcBT/wAI9BMUfZsUyQZEUJx/EM7TyATQqbvYmWMjyuSttJ/jZHnGkX0Emk69NdG7kuriFVhZLhUXzGmVmMin5pFwG4XoxBPAp2oyyWngXTbVlmUXNxLdrmZGRxgRghANytlWGScMMYHGa6LRvDt1bfs+6vqUcdxsuNQjimJ0gNGsS45+1sflzIQPLQZ4ySARmTxR4FurGDwTpV59ut7PUAG819FaGRGldS+wf6y42gqAehwAvHNHI7f13NPrEOe3959+kSjqGnXR+KumabcQ3S3GlrbWssX22LzAYkUuEmHyDo20nO0YByRWBpNxCtjrEjLMRJAEj2zqhBMikbgRlxgHIGOcHoK7xPDGoXvx/wBThWzvJ7jTUkkiibQFLsixbYS9qDtjyChJY4Xqcnrzvh/SL5fhX4h1CGG4aBriC3nk/s4SRhQdxzcH/VncV+VeWzzwKHH9Qp1k4rXpHv1Zz11KyeH7WM/daaSVcTBgOFXlByp+Xqeox6Ut8lvZarGJIQYY1j81EuA3mHaC2HAwM/jtzjnFdRr3hbUJPD3gqx+xal5OpBvIU6YsUlxLJIoPlMDuuAQUwTjk4HrXSWOha3D+0dqVvFY3/wDammwTmOEaHC0saJbkKXtc+WgC4ycnb97k0vZt/gV9cgk35Se/Z2/rsea6dKYbTUmTKxyRCPHnhCMupHHVwNvIHse1ftB/wZ82zRN8epSY9sw0MKA4LDH27OR1HXjPWvyD8K6LdyfCbxZqCrqC28c1vBOU0+OW3JL7gHmJ3RNnkBR83Q8V+zX/AAaU6dJYaF8WGf7X5VxY6NNGJrRIVGZdRzscEmVc/wATYIPA4r18jj/tcX5M/PPFbERfD9aK/ngvyZ6p/wAHY/P/AATo8Mf9j1Y/+k13X8/+sCIfC7RzG2n+Z9ruBIkVk6XIOFwZJyNrjH3UU/LySOa/oA/4Oxv+UdHhj/serH/0mu6/n1utXvLzwNZ2c008llZ3cnkIbj93EXUFsRep4JfvwO1acQP/AGn/ALd/U4PB6LeSv/r6/wD0lHYeJNagHxs8P3At/C8NjbpZCIR6HJFpzoFXmSBhvm5zuPJcg4zxWP4YKx+OteVrjSY2Nteqrz6U00UhweI4duYmP8LEDy/bFYmreJ7rUr/T7h73U7iSwghije4uS7w7Oixt1RAfugfdq34d15n8Z3V4q30j3kdzgDUDDNl43yWm6t1ywP3+QeteLz3fzP1KOFcaVv7tvuZY0HU42+Fuu2RazWZbiCdN2lCaZwThsXXWEDA+U8Nk96j8Qaz/AGh4A0G3WK1/0Rp1d49MWBycggNcDmY45wfu9O9ZujXU0Wi6tDG03kzQoZVW58pGxIuCyf8ALTBPA7E57VHPrbz6HbWO648uCWSbY05MRZgoyE6K2FwSOTx6VPNobexXPf8AvX/CxuS+
Title: Penetrative convection in Nocturnal ABL: Numerical Simulations
Description:
<p>After the sunset, under calm and clear sky conditions, aerosol laden surface air-layer, cools rapidly due to radiative cooling<sup>[1, 2, & 3]</sup>.
 Radiative cooling extends to several 100 meters from the surface and results in the development of a stable inversion layer.
However, ground surface, owing to its high thermal inertia, lags in the cooling process and about a meter thick air layer just above the ground can be 2-6<sup>0</sup> C cooler than the ground<sup>[1,2]</sup>.
Thus, at the surface about a meter thick unstable convective layer is present which capped by a stable inversion layer that extends up to about 300 meters.
This configuration involving a convective mixed layer topped by a stably stratified inversion layer is a classic case of penetrative convection<sup>[4 & 5]</sup>.
 Here, we present a computational study of this penetrative convection in the nocturnal atmospheric boundary layer (see Fig 1) and show its relevance to fog-layer dynamics.
Field and laboratory measurements of aerosol number density is used to model the strength of the cooling radiative flux term.
Vertical profiles of horizontally averaged temperature, density and heat flux are presented.
Dynamics of penetrative motion of the fluid from the mixed layer into the stable inversion layer across the interface, results in entrainment and growth of the mixed layer.
Here we show, correct length scale to be used in the Richardson number correlation<sup>[6]</sup>, to estimate the entrainment rate and to model the mixed layer growth.
Analysis of the mixed layer and the entrainment zone, shows a good agreement with the previously reported laboratory experiments on penetrative convection<sup>[4]</sup>.
We show how aerosol number density impacts the growth or decay of the mixed layer (see Fig 2).
 Our study also indicates that occurrence of fog near the ground surface could induce a large-scale vertical mixing, which is observed in the field experiments.
</p><p><strong>References: </strong></p><p>1.
Mukund, V.
, et.
al.
, (2014).
Field and laboratory experiments on aerosol‐induced cooling in the nocturnal boundary layer.
<em>Quarterly Journal of the Royal Meteorological Society</em>, <em>140</em>(678), 151-169.
</p><p>2.
Mukund, V.
, et.
al.
, (2010).
Hyper-cooling in the nocturnal boundary layer: the Ramdas paradox.
<em>Physica Scripta</em>, <em>2010</em>(T142), 014041.
</p><p>3.
Ponnulakshmi, V.
K.
, et.
al.
, (2012).
Hypercooling in the nocturnal boundary layer: Broadband emissivity schemes.
<em>Journal of the atmospheric sciences</em>, <em>69</em>(9), 2892-2905.
</p><p>4.
Deardorff, J.
W.
,  et.
al.
, (1969).
Laboratory investigation of non-steady penetrative convection.
<em>Journal of Fluid Mechanics</em>, <em>35</em>(1), 7-31.
</p><p>5.
Kumar, R.
(1989).
Laboratory studies of thermal convection in the interface under a stable layer.
<em>International journal of heat and mass transfer</em>, <em>32</em>(4), 735-749.
</p><p>6.
Sreenivas, K.
R.
, et.
al.
, (1995).
Modeling the dynamics of the mixed layer in solar ponds.
<em>Solar energy</em>, <em>54</em>(3), 193-202.
    </p><p><img src="data:image/jpeg;base64, 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.

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