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@matt-long
Created March 17, 2020 17:54
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Simple end-member mixing model to illustrate pO2-T correlation
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Simple end-member mixing model to understand pO$_2$-T correlation"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Define equations for oxygen solubility"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"T0_Kelvin = 273.15\n",
"rho_ref = 1026.\n",
"\n",
"def _garcia_gordon_polynomial(S,T,\n",
" A0 = 0., A1 = 0., A2 = 0., A3 = 0., A4 = 0., A5 = 0.,\n",
" B0 = 0., B1 = 0., B2 = 0., B3 = 0.,\n",
" C0 = 0.):\n",
"\n",
" T_scaled = np.log((298.15 - T) /(273.15 + T))\n",
" return np.exp(A0 + A1*T_scaled + A2*T_scaled**2. + A3*T_scaled**3. + A4*T_scaled**4. + A5*T_scaled**5. + \\\n",
" S*(B0 + B1*T_scaled + B2*T_scaled**2. + B3*T_scaled**3.) + C0 * S**2.)\n",
" \n",
"\n",
"def _umolkg_to_mmolm3(value):\n",
" return value * rho_ref / 1000.\n",
"\n",
"\n",
"def O2sol(S,T,**kwargs):\n",
" '''\n",
" Solubility of O2 in sea water\n",
" INPUT: \n",
" S = salinity [PSS]\n",
" T = temperature [degree C]\n",
" \n",
" conc = solubility of O2 [mmol/m^3/atm]\n",
" \n",
" REFERENCE:\n",
" Hernan E. Garcia and Louis I. Gordon, 1992.\n",
" \"Oxygen solubility in seawater: Better fitting equations\"\n",
" Limnology and Oceanography, 37, pp. 1307-1312.\n",
" '''\n",
" \n",
" # constants from Table 4 of Hamme and Emerson 2004\n",
" conc = _garcia_gordon_polynomial(S,T,\n",
" A0 = 5.80871,\n",
" A1 = 3.20291,\n",
" A2 = 4.17887,\n",
" A3 = 5.10006,\n",
" A4 = -9.86643e-2,\n",
" A5 = 3.80369,\n",
" B0 = -7.01577e-3,\n",
" B1 = -7.70028e-3,\n",
" B2 = -1.13864e-2,\n",
" B3 = -9.51519e-3,\n",
" C0 = -2.75915e-7)\n",
" return _umolkg_to_mmolm3(conc)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Visualize pO$_2$ surface"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"S = 35.\n",
"\n",
"def pO2_surface():\n",
" \"\"\"Plot a contour surface of pO2 in O2-T space\"\"\"\n",
" # \n",
" T = np.arange(-2., 31., 0.1)\n",
" O2sat = O2sol(S, T)\n",
" O2 = np.linspace(O2sat.min(), O2sat.max(), 100)\n",
" grid_O2, grid_T = np.meshgrid(O2, T)\n",
" grid_pO2 = grid_O2 / O2sol(S, grid_T) # atm\n",
" \n",
" cf = plt.contourf(\n",
" grid_T, grid_O2, grid_pO2, \n",
" levels=np.arange(0.5, 2.2, 0.1),\n",
" )\n",
" cl = plt.contour(\n",
" grid_T, grid_O2, grid_pO2, \n",
" levels=np.arange(0.5, 2.2, 0.1), \n",
" colors='k',\n",
" linewidths=0.4,\n",
" )\n",
" plt.clabel(\n",
" cl, \n",
" inline=True, \n",
" fontsize=10, \n",
" fmt='%1.1f',\n",
" )\n",
"\n",
" plt.xlabel('Temperature [°C]')\n",
" plt.ylabel('O$_2$ [mmol m$^{-3}$]')\n",
" cb = plt.colorbar(cf)\n",
" cb.ax.set_title('atm');\n",
" plt.title('pO$_2$');\n",
" \n",
"pO2_surface() "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## End member experiments\n",
"\n",
"Write a function that plots end-member O2 concentration and T point in O2-T state-space."
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"def mixing_diagram(O2surf, Tsurf, O2deep, Tdeep, mix):\n",
" \"\"\"Plot a mixing diagram\n",
" Compute and plot mixture and return sign of correlations.\n",
" \"\"\"\n",
" pO2surf = O2surf/O2sol(S, Tsurf)\n",
" pO2deep = O2deep/O2sol(S, Tdeep)\n",
"\n",
" # compute mixing\n",
" O2mixed = (mix * np.array([O2surf, O2deep])).sum() / mix.sum()\n",
" Tmixed = (mix * np.array([Tsurf, Tdeep])).sum() / mix.sum()\n",
" pO2mixed = O2mixed/O2sol(S, Tmixed)\n",
"\n",
"\n",
" # make a plot\n",
" pO2_surface()\n",
" plt.plot(\n",
" [Tsurf, Tdeep], \n",
" [O2surf, O2deep], \n",
" 'r-*', \n",
" markersize=8\n",
" )\n",
"\n",
" plt.plot(\n",
" Tmixed, O2mixed, \n",
" 'ro', \n",
" markersize=8\n",
" )\n",
"\n",
" plt.text(\n",
" Tsurf, O2surf+5, \n",
" 'Surface', \n",
" color='red',\n",
" )\n",
"\n",
" plt.text(\n",
" Tdeep, O2deep+5, \n",
" 'Deep', \n",
" color='red',\n",
" )\n",
"\n",
" # report \n",
" delta_O2 = O2mixed - O2surf\n",
" delta_T = Tmixed - Tsurf\n",
" delta_pO2 = pO2mixed - pO2surf\n",
" O2vT_correlation = 'negative' if delta_O2 * delta_T < 0 else 'positive'\n",
" pO2vT_correlation = 'negative' if delta_pO2 * delta_T < 0 else 'positive'\n",
" \n",
" print(f'∆O2: {delta_O2} mmol/m^3')\n",
" print(f'∆T: {delta_T} °C')\n",
" print(f'∆pO2: {delta_pO2:0.2f} atm')\n",
" print(f'pO2 v T correlation: {pO2vT_correlation}')"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"∆O2: 10.0 mmol/m^3\n",
"∆T: -5.0 °C\n",
"∆pO2: -0.04 atm\n",
"pO2 v T correlation: positive\n"
]
},
{
"data": {
"image/png": 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m2BPh+iE9ge/UwvnMbvPz2pd78i6I9jjzxBp6AJ8qxbA7iA7pKUiZTFXzaoIdR1Hp/GcYTKZ84VrCx4+SSejLPHJKKc4Fc4kcOKptTLHZKH7feoI/2I9K6nmP37Ky15R6eaexd5QUkY6nKJ5TTvX65ryMaV27HIBLr+m5Oxytmsn6j1fz2pdvEhl9dOWHzeSJNvQAVWVLCN28SDqpV9JUxMC/fC2jx/UGSUUMitdtJLh/j9ZMHJerFmtVBeOnzmobU8U9+J5eTeClvaiUntJ3w2HH8dRWBr531BRjH7o6zKWvHmX+v1uFzeNApfPzP04vXkxxvYeOb17W4la5aW+k6efaOfCdPvquPlnFTg+DJ97QA5QvXsfw2QPax3Un3BQ1ziJ0UV+QFMAZd+BZtoLQYb1ppp6yWWCxELuoMT6RKsa3rZ3AS/v0afHYbVlj/8JRUhE9cYKecDHX+xxc+LtDVK9vprI9G5MRS/Yrng9jPNY4lxnrqjn+j3py7S02g4ZPreRaR4jOQ6N5H+9xomDoAde4HU/9HILX9K02J/A76yGdITaQfzGpybiNEhz19VozcQB8DYtJB8Mkbmh0l6kSvJuXE9Rs7J3v2cbgS8fzro0z1pl9LwdePEY0YWH+L68CssZ9wsBPpBHGRsYJdz+8YOpw8QwWfySbax8P598dKCKUPLOMTBoOvdBfCNLeJwVDn6PEXkcqPk48pD+dq6K2lbFrl0hH9d6S+oqbEMMgdr1b67jFc9uId98gOZh/MasJRMrwrGvJNi7RpeyZk0sYevkEyUB+0j3T0QS3/2k3F37zy4zuucDM//wxesLFZFIZRORNAz986jZn/moPp/7f1zn+R69x7n89PJfhbUsdpR9bT8c3LxPq1ZTWunwhTYu9/OgfbuVdNuFxoGDoJ1FT3Uag66S2DkaTqZ69ntHj+7UWUwGU1C8m0d9LcljvBc6/ZB3jJ8+SDuorQRdrBe5Viwn+UE/jkuyYFhxPbWP4tQ6SIw8/B91SZGfOH/8snoX1xHtHSYezrqLb0ZI3/fNDJ3q4tfMyRZUeVv/ZB9j0lZ9hrCfI5a+feHjzsFso+/gGru25zcAFPemXwdpZrPlI1T3VL9PJDIM39KnHTlcKhn4SIkLZojUMndPvrzcsVopb2gmc0C/PUDZvNZEzp0hH9X0hRITSti1EDhwlo3Fcw16Fe8V8Qq8e0mfsLVljP/LGWRID+anabfi1p2n+vQ8ROnGVsYtZN+Ct8RJiQ2P07OgifG2EwMVB+vZdQwxh5R+/l5kfb3mocxBD8P7UGgI3I3Tv16Oj3+NsxLPl7f+OM7tH+JvPnOX5P7miZT7TlYKhvwN33EVRRb0pEgmedDGOqloil/U2NRcRKls2ETqwD5XSl+4phkHpyq2E3thHJqEvbc5w1lDUMofQDn0Fc2IY2LdvZXT/ReK9+Qkk+tfOo2T9AmLXBwmdzDaov3YphWEzaHzffOZ9eiWX//UkgYsDiAiGzZKXeVjXLsdiNzj//Wt5Of/d6IzW3HX/kk2lvPfZRo7+YJDxkN5U5neKiHxFRAZE5K5BQxEpEZHvishpETkiIounOmfB0N+FMtcMkpEREhG9BU0AJZ5m0vEo8UE9BSkTiMWKb81aAvv3aA1widWKb9sGQj/ardVlZnHVUrRoJuEf6ZOjmGhLGDp2heiN/PT2NZw2yt7TgmdhPQDxW8OMZYpoeGY+3hml2NwOxm/n312WXLCIqoWlnPjni2RSetyRdzP2iViGoz8Y4H3/RyMun5VM+pEI3n4VeOYez/8+cEoptRT4t8D/nOqEBUP/NtTUtjPSeRSV0e+vr6hdTuTKBe3B2aKUG8/ipYSPHtI6rj3mxrtxDaEf6c3tt3jqcc6fQeh1vcbetnETY+d7GL+Sv4u52K3ZBwpIZ+gJF9O3vxuL04pvVnnexp1MsGoW83+qKZuRE9Fzx3ansd/5L7cwDGHTp2oBMCzZ4PR0ztZRSu0B7hXoWAi8nju2E5ghIlX3OmfB0L8NIgblJvnrRYTqORuywVnN7Q/dtnLs1bXa0y4dKR/u9mWEd+rtxmXxNeCc20TodX1VuwDWNeuJdg8SOZ8f3f6JbJvSbUuI9wXo+k/Pcebvj1G1pgm7X5+4Vp+9npKPrOX0Ny8TvK0nI6czWkNntIZrHSGOvTzIR343WyE8eTUvIowFkxx7WV9jnodIB/BRABFpB5qA+nu9QLuhFxFnzq/UISLnRORzuf1/JCK3RORUbnvfpNd8VkQui8hFEXla11zdCTdF5XWm+OsNixV/6ypGj+/TPrbP34RYLESv6g1gOaWMosXziezVe0dh8TXgnNOg3dhb2laTHAkTOpU/X7ZhtzL78z9D3ae3MPMPPoasW4Xdp1dF0eKwUvrx9Vw/0Evv6fym1CqluLo7W1fw3a+MsPzpCmpnu8lk1JureYAzu4b53l9c4/gPH858ohkb5+N1U25AuYgcm7R95h0M9ydAiYicAn4TOAncMwBhxoo+DmxVSrUArcAzIrI699xfKqVac9vLACKyEPgksIis3+pvRSQ/UaS7UOZqJhkZJRHWX4nnTvkoqm8m1Kl3dQ1QUreI5OgIiX69sYIiRzWOmU1ae88CWIobTTH2sqQNlUgTPJLfamHX7GocVVnFy55w8V0F0fLJhCDa+HCcy2/kr/tYcjzF6W9d4YvbX2D4coDZv5wzLeqt7ppMJpsl9Kt/vTBvc3kbhpRSbZO2Lz7oCZRSIaXUp5VSrWR99BXAPVcL2g29yjKRUGzLbfe6V/8Q8K9KqbhS6hpwGWjP8zTfQk3tSkYuHiOjWYAMwF/UAIL2NoQA5XNWMt51iVRITyOPCVyeBmxVlYwd69A6rqW4EefcRq0+ewA1rwXDYWV0j95sq55wMaMX+gld1VdDIStb8FQV0fHN/PSjtbttfPhvNrL6VxcR6h3n6u5bXBivxrD8uHhs4HqUns4I18+GGbz56OXYi4hfROy5X38F2KOUumeE3RQfvYhYcrcdA8AOpdTh3FO/kUsZ+oqIlOT21QE3J728J7dPGyIG5YvXMnRWrwDZBBVVS4nevkEyrNfgAlQsWZ9Vu9TYdxbAXdKMxevRKoIGk3z2Ow5PffBDJD1jEfbKYoZ36L17G6ufS/DSEEMn9UlSjDfNY+amOo5+5ULeWhQu/fhsPv39n8KwGXT+4DqHu7x0RmvY/+0+Xv3STRwuC23vq+S/PKP3Du5+EJHngIPAPBHpEZFfFpFnReTZ3CELgHMi0gm8F/jtqc5piqFXSqVztx31QHsuD/R/A7PIunN6gb/IHX63Xl8/sRQQkc9M+L2SsYcf9HHHXXhqZpqihwNQPWstwdNHyCT1NjYXMaho2URw/16tOfaQbTQuNhvRc3pjJBZfA86FzQRf01dUBZCsmYtrTjUD3z+mN8V1XTvpWJLbu/TFZAbdjfg/vIZTz3XlTTbBVepkxtoayuf63+yMdfp0hualXjZ9qpanfqme7Z++ZwzTFJRSn1JK1SilbEqpeqXUl5VSX1BKfSH3/EGl1Byl1Hyl1EeVUlP6lU3NulFKBYBdwDNKqf7cBSAD/D0/ds/0AA2TXlYP/IQCmFLqixN+L5vTnZf5ljjqySTjxEb783L+eyFiUNK2gZGje7WnhhlWG7416wjs2609C8hbtxCVSulVvCSbelm0ZDYhzcY+XtJM8crZDHzncN4khu9GcnELRZUeul84q+3vtTptlH18A937e7l9Kn9B2oq5fprWVAPg9Du4cMWCzWGQTGS4ckKfBIeZmJF1UyEi/tzjImA70CkikxNgPwJMLJ1fBD4pIg4RaQbmAHqdqJOoqlxGsPucdv16AFfUiW/hMgIn9cskFKVceFuXEzqo333la1pKOjJO7LK+SkvIFlW5WucS0qiNAxAtqqN02xL6nz9IJqHvLmqsYS4VKxu5/PWTD73v7NshRjZIGwsluPhq/uNQMzfW0tsxxF/+Tjd/95vnKaszr4+rTsxY0dcAO0XkNHCUrI/+JeBPReRMbv8W4P8EUEqdA74JnAdeAX5dKaW/iimHiFDXuI6hM/tMKbrwUoqjsoZw1zntY7uMEopmzyF0TP91tnjWMtKjAeLX9AalDWcNrpULs52qNN7NjEklFR9oo//bh0iP6YuPjHobaPrgQi5//SSJsMa4zPKllM7wcuJr+a2krVpYyie+so36lZU0f2gh7X+wMW9jTSfMyLo5rZRappRaqpRarJT6fG7/zyulluT2f1Ap1TvpNf9NKTVLKTVPKfVD3XO+E4vVjn/WUlP6zUJWJkGlU0R7b0598EPGU1SNvaJCe0EVQPGcNpL9A8Rv5C89724Y9io8a5Zo1bMHCCdLcWzfyuBLx/OifPl2DFCF8wObuf7iecZu6UsACNfNYf57mzj6DxeIBvJ7x7zko7OYtaUOq11bprapFCpj3yE+yrG6vER6r5oyfkV1SzYTJ6Q/v99X0oxhszF++ZL2sf3zV5G8eZtEj95GLWKtwLNxGYEX9bUlhFy3qvdsZ2TXOWK39Mj/Ahg2C84PbGboeA8jZ/XVUvTZ6yn7+HouvNTNUJd+ranHlYKhfxdUFM8jNtxnivgZQPXMNQTPHCcd15v6COCvWUBmfJzYzev6x160hvi1myRu6w2Ki5Th27aSwPf3aGs4Djnly61biJy5ztglPfK/kHVTWrasJRGIcnu3vowcw2rB/+F1DF8NvVnlWuDdUTD075La+lWMdB41pZhKxKBm3kZGj+7Vng0DUDqjlURfL4kB/VlIJUvWEu+6QrJPs1ZJxk/x02sIfH8vmbi+VFcRwbpmPYm+0TcliHWRammlqMLDte+ezUuR09thW7ecolInHd/oIqMxA+lxpGDo3yXZYqpscNYMDKsdf+tqRo7tNWX8srmrGO+6SDKg34XkX7qeWGeXdmOvkj6K37eO4A/2kxnXezclLStBob2KdqxhLlVrm+j6l+OkYvp6B0Sb5zF7az3H/qGTWEhvDcnjRMHQPwTc8SK8DfMY7TppzvgpL57meQTO6K/yExEqFm8g0nGSVCSsfWx/ywaiF7pI9udH3/3tUHEP3o1bCb5ykHRIjyrjBJlZi7FXlzD48gmtmV8jrnpm/vRSrn6zg9iQvr+5v6iB0o+t4/wL1wp++3dIwdA/JPzWagybnbF+/T5rAJ+tGpuvhMiVC9rHnuhQFT5yiHRMr3aIiFDSuoHo+Uvajb3YbHg3bye88xipEb3yFMmq2fiWNTPw7cNag8N96QqKPriF3t1XCFzU934bNgv+j6xj5FqIKzunn98+lrG9KY98r80sCob+IVJZspDxgZskx/Rr0gCUFs8mk4ibknYphoWK1i0E9+8lk9At02CisbdY8GzcRuTQWZJ9ehusR131lD21lL5vHSQ9rq+ATywGtvdsYLw3RN8+vfEC69rleCqLOPn1S6STBb/9/fJYGnp1TzHM/FJXv4bhC0dMCc4CVNS0Euu9SSKgLxVvAsNqxb9+E8G9u7Xr4rzF2Gv22Yth4Fm7meiZy8Sv65V1jlCRzbX//jESw3pdZ5kVy7GXFGkP0o41zWXeM40c++oFxob1Z5w9ijyWhj4V01dccidiGFQsWc/gab29VydT1byG8IVTpKN6fccAzrgjq4uzd5f2TKAJY29GgFZEcLdvIHG9l9glve67iVz7wN4LRLv1/t3jjfOongjSjuu7k8vm22+ga8dNes/ovZN6FHksDb1hdTDaY47KJIAr5qR4xmLTKmdFhOq5Gxk5vp9MSl+GxARFKRfetlWmGXt/ywZiFy+TuK13dQ3gallFajTM+Gm9ImxiGNi3bGH8Sj/hjm6tYw+76nG+dyPXvn2G8V59ImGG1cD3/jWUzvC+7TGRgSiDlwoB3MfS0FuxkUrEiIX0+msnU2xUYHMXE77VZcr4hsVK6cqNjBzeTVYQVC8u5cXbsiwrb6z5zkZEKGnZQPxKN4lb+gqMJiiavxyUYuyIfj0iS9tqVCrDyG696ZeG04bzQ1sYPNbD8Cm9Vcu3pPau+5VSdP3oJi/+9l52/slxVEZN66bg+eSxNPQA9b4WRm6eNmVFO0G5bw6J0CjxgDkXHFfUSfHSldmCKhM+4C6jBPfCRYQOmdOwpWTJOl5P638AACAASURBVOLdN0nc0J+l4ZixCIvfQ3j3Ce1jZ2YvwVlfmtW11+g7FxEsm9eQjqe4+cpFrZ+5q5FyrkbKf2I+y352Los/MpOhy0HE+HGXqSeNx9bQiwhVc9fRf8mcQqYJamraCFw7QzpuTssyT7oY98z5BE+bo+zstpVTNGsOocP6pZUBShatIXGrV7vqJYCtag6OmXUEXz2o/UKbKJ+Ff81c+r91gIzGAieAxMIllCys5MpzJ0nH9Qbl7zT2o9fDXN7Zw/rfbgF4YitsH1tDD+AOWSmunc9wtzmFTJC94NQ3bWDwzD5Uxhx1ZZ+1CntZFaGL+hUnATzOKhwNjabIGwP4F6wiNTisXc8est2qXMvnE/y+XjE0gHFbDRUfXEn/945oVb8ECJTMoOmDi7jyjVNEB/WOPdnYH//HTmpbyqlZUoZSCsPyY5MXuBl5YlI0H2tDD1CarkAMC2Ojev2GkzEsVsoWrmbQJJkEgBLPDAyrjbFuc2IGXk8d9uoawifNCVAXz20jHQwTu6hPnGsCw16Fd0sbgRf3kInprTEIJ0pwPr2d0b0XGL+mNyOnX1VS9KGt9O3rZvi03ljJ1Ug5V3ffov/8CGt/Y2l25x03VQOdozz/K29onZdZPPaGHqDWvZBQ3yVSCfM6vnuSHrz1cxi9dNy0OZSVLSA9HjGloArA52vAVlZOuMOcO6ziWcvIRKNEz+vtQQtAxo9nwxaCL+/XLpkghoF982ZiNwYJHdcrqy2GYNu+jtRYXIvfXmUUt3deRqUzHP7GTWo+2IrDYyOTziDGW/3zc59qYPN/WJ7X+bwTROQrIjIgIndNHRSR3xWRU7ntrIikRaT0Xud8Igw9QFP5avov7TclA2UCv7UGi9NtWiYOQEXtMmJ9PcSHNas+5vD5Z2AtLiZy+pQ5489oAaUY79CfEWPY7VnJhN0nSPbrz/02WtsRu4Wh1zq0xwySi1vwL6jk8tfz67dPx5LcfPUir7z/K4z3hpjxwUVcjZT/RBB2wldftfCe9tEsvgo883ZPKqX+TCnVqpRqBT4L7FZK3bNC8okx9IZhpbx5BYNXTGs3C2Q17BPhUVMajE9QNWM1kSsXSIbNyS8uLp2JxeMhcqbDlPG9dYswnE7GjusfXywWPBu2Ej1zhfgVvZ2yANKNC/EsaqD/+UNkNGrqAwRLZzDjw4u58o1Tecu3t7rsrPqTn6Ll9zaTCMW48fIFUrEk18Yr3nLchK/+xNdMuLubAqXUHuB+S9s/BTw31UHyOOaVeovr1Yq1v3XX5wZS3SilKK6eo3lWP0YpRc+13ZTOX4m1yGPSHDLcvvAGJcvWYClymzKH4OBl0tFxPIuXmjL+2MhVkgNDeFavMGX86IXjGC4nrqX6P4seyzCD3z9G+XuXYfPr/f8rpcjsPoSrxktFW0P+xskoRs/3E746jG9WGSWLqsmkMsz2jzA2HOPm4T72/mUHY0Ox40qptnczln9+pdr0pU9MedyLG/7XdWBo0q4vKqW+eOdxIjIDeEkptfjtziUiLqAHmF1Y0d9BpXUG8cgwsYh5ZdMiQt2MDQydO2iaJk62aclmRo8fIJPQJ4g1meKK2RjOIsbOmVPF7C6dib2+hvAe/emPAEULViCGQWS//juLSLosG6TddY7xq7o7dWXz7cVi0P3iubzl+oshlC6upmp985tjGFaDq5Fydv/pCW6fGmLz72n30Q8ppdombT9h5B+ADwD7pzLy8AQaeoAG/wqGu0+aWkxlGJasJk7HbtOq9QyLlZp5mxg5sgdl0gXHXzkHcThMM/YuTwPOebMJv6G38fcE9oYF2Oors7n2uuUiLBbsW7YQuzlM8LD+uFFs9kKqVjXS9S/HSYTzJ07mLHVRuiQrERy8PMSJ/7qDwdtJ1v7mUuY8lb87Cg18kvtw24AJhl5EnCJyREQ6ROSciHwut//PRKRTRE6LyHdFxJ/bP0NEopOizF94CHOget56+i6aUzE6gSvmpGTOMobPHTBtDobNTsmKdQwf1q9LM0HW2NsZO3fGlPGLHNW4li0htGM3Kq2/1sHqb8LdtoDAi3vJJPQvPozWlVi8RQz+4ITWSlrI6eS8fzM3X+7Uom/vm1lG1doZtH3+aW5LLVfCZXkfMx+ISDGwCXjhfo43Y0UfB7YqpVqAVuAZEVkN7AAWK6WWApfIRpMnuDIRZVZKPfswJuEOWSltWMLQNXPyuifwZkpwVTYSuGxOFgqAK+7Cv7SdkSPm3V34K+ciDieRs+YUdTmNMjxrVxJ6dRcqqd/YirWS4vesIvjSPtLhce3jp+rmUdw+m/5vHdCqbQ/ZpiKO920i2h/m1o+68voZFEOo2zaHoopsbGw6SiKIyHPAQWCeiPSIyC+LyLMiMtn2fQR4TSl1X7m62g29yjJRKmfLbUop9ZpSasJ/cAioz/dc/MkSbEU+Qv36i2gmU+Kox7A7TE27dKd8eOe3MHpsn4nGfg6WIpdpxt6RLsa7ZR3BHbvJRPXXXKikL5d+eZxE79DUL3jIjNtrsG/ZzOBLx4n36u8BnF62DN+sMi5//aTWvrTTDaXUp5RSNUopm1KqXin1ZaXUF5RSX5h0zFeVUp+833Oa4qMXEYuInAIGgB1KqcN3HPJLwA8n/d4sIidFZLeIbHibc35GRI6JyLFk4v4LUqrts4iFB4lH9DfqmExF8XySkSDRYfMqeL2U4p45j8CpQ6bNobhiNhaXy7Q8e3vcTenKrYR3HSAd0tvIA3Lpl+u3EuvsJtbZrX18w2HH8Z7thM/cIHxK//jB8maaP7KYa8+fJnJD/8XmccUUQ6+USueS/euBdhF5M4VIRP4TkAK+ltvVCzQqpZYB/x74uoj47nLOL05Esm32B0sXa/CvYKj7JOmUOdknE9RUryBy6zKJiHn62T5LJUW1jQRO6280PkFx+WwsPp9pFbSGzUbpqu1EDh0nOag/O0tEcC9fS3o8RuSw/iC1iGBdtRaAoVdPab/D60tX4PzgFgIXB+ndq7eS93HF1KwbpVQA2EWuCkxEfgF4P/BzKvfpUkrFlVLDucfHgSvA3Ic5DxGhev56+jrNc1tMUNe4jtGLx0xTuwQodtThKKskeM48Mbji0pnY/CWmaeOIYVC6ciux8xdJ3DSnGbVz1lJs5X6Crx0yJVCebl6Et2UG/d88SFqzRo+IwOqVFFV6ufKvp7SrYD5umJF1UzEpo6YI2A50isgzwH8APqiUGr/jeEvu8UxgDvDQL/PuoIXyGcsYvHKnF0kvIgb1zRsZPLPPtBx7AL+7CZvXZ5riJYCvZAa2iirTVC8nGpgkbvcTu2ROHMdaPhP3ivnZjJy4XmMLEC2qw755E4MvHiN2W797M1I7m8b3L+DqNzuI9BQ6Rb1TzFjR1wA7ReQ0cJSsj/4l4G8AL7DjjjTKjcBpEekAngeevZ8CgXdCcdxHka+SwK0L+Tj9fWNYbJQvWc/gqV2mavOU+GZhsTsJd+nXhZnA52vAUVtH6Ig5evYA/nkrycTijJ8yJ9dfrJUUP7Oa4Mv7SY3qa9U3geHM+u3HzvcQOqHfldKvKnF+aAujZ/vp26dfavpxwIysm9NKqWVKqaVKqcVKqc/n9s9WSjXcmUaplPq2UmqRUqpFKbVcKfX9fM6vwtJIKhllPKC/Bd1k3DEnJXNXMHTGnO5ME5SWzM1Wb17tNG0OXk8dzqZmggfNc635GpdgeNxEDprjSlJxL97NTzF2+Bzxa/pdSSKCZeUaDLvVlHx7EUHWteOs8BRcOe+AJ7IydirqvUsJ9l4iGdPbMOFOvBk/nvo5jHSaFxiFrLyxSqdN07IH8BRV45ozj+D+PaYZe0/5bOxN9YRe32uKz1wMA8+aTST7Rxg7bs5dZ6phAcWr5tD3zQOkwvrjSJHa2TR+YCFXnz9N+HohK+d+KRj6t2FG+WoGuszTopnAb6nCXlxO4Ko5VaMTlFcsIh2PMnb9smlzcNsrcC9eSmDPTtOqeF2uOlzLlxJ6zZzCKshq5Fi8bkI7DpvyPozbqnE+tZXhH51h/Eqf9vH7MxU4P7CZYNcgt3ea93l8lCgY+rdBDAtVc9eZLpMAUOaagWGxEu4xb0UNUFG1lPR4hPGb5qW8uY0SvMtXEtj9BiplzkXYKaV4N60huGM36TH9VawAtqrZuJbNM6VrFYBYrTi2biHeF2Bk93n944vAqpV4mkro+toJUuP634PJJNMWesLFU25mUTD098ATsVNav5ihq+a6TgAq/PNJRSOM9+tvcv2WedS0kgoHGe8xLyjmUl58q9YQ2L2TTNKcL7g97qGsfRuRfYdJDZlTbCe2SjxrNxN85SDJQXPcGLJ4BUUzKrL69nH9dzihipk43rOe7hfPEbhoTjOdR4GCoZ8Cf7IEh6fM9EwcgOrKVqLDt01tWgLZLlXJYIDxnm7T5lCUclO8fiOBPbvIxPKnfHgvxGqltH0b0fMXiV83pz2j4ch2rYqe7jKlkhYg7p9B+fuWMfC9o6akYBpOG86f2kxsaIwbP7igPVD8KFAw9PdBpbWJdCrO2Ij+jkB3UlPbTvjGRRJhcwNRlXXLSAZHiN7qNm0OzriDymVbCB7YSzpiTuBcRChZup7U0AjRs+ZkJokI7rb1ZGJxwvvMkY4IJ0txPL2dsQu3TJE8BkgtbaW8rZ6ufzlObMQcl9p05b4MvYiU3sfmz/dkzaTOs5jw4DUS40FT5yEi1DWtY7TrBKmouVlBlXXLSQSGTV3ZG1Yblcu3Ejp2mGTAvItf8azliN1G5JB5aqiO5iU4ZtQSeGkvSnObQMilYLatxup3M/C9I2SS+iWfR1z1FH1wC317rjJw1Jy7rOnI/a7obwPHgOP32MwrodREU9kqBq8eJZ00VxNHxKCheRND5w6STpjjtpigsm4FyeCIqcZeDAuVy7YwdvYMiQHz3FqeyrnYGxsI/WiPKbr2ABZvPd4tbQRe2ktqRH9xFUCyeg6l25bQ/+1DxPv1L4zEYmDdtg6r08rVb3UUcu65f0N/QSk1UynV/HYbYF5vPk2IGMyoXJvNxDEpve/NuRgWGmZuYvD0HjIpczMOKuuWkwyOmpqNI2JQsWQDsevXiN00L2DtctXibl9O8NWdpsUOSBVni6uOnSfWZc57EcmU43x6O+FT1wgeM0c+YnzGfBreO5+rz58mdPWxN0/35H4N/ZqHdMwjj8Vip3LWqmmRdmlYbFQs3cjAKXM6I02msm4ZqXCI8RtmGnuhfN5qUiPDjF++ZNo8HJliSlduIbzrAKkRk7JhDAPPqo1kwuNE9neY8lkVw8C6eh0Wt4OBF46iUvo/o/2qEucHNhO5EeDmK52mf2fNYkpDn+tq8tci8kkReUlEfu1uxymlzPUhaMQ7XoS/dv60SLt0RR2UL17LwCnziogmqKhtJTUeNrWoCqC0eRmk06Y1MIFsi8bS9m1Ez1wgfs28OwzHrKXYZ9QQfGmfKW0KAVK18yjdsoi+5w8R79cvTCYiZFYsp6yllq5/Pk5s6P77VTwu3M+KfivwGeA3lFLvB1ryO6VHg5JUGQ5vOaO39BeL3Ik77qJ0QTuDHbtMX7FUVLeQiUUZu2beihrAX7MAq9drmvIlZFe0JS0bSAeCpgmiAVg89fi2rST48n7T8u0jqgLnM08ROX2D4BFzFgIjnoZsoPZAN/0Hu02Zg1ncj6EfzmnD//fc7+ZGIqcRlZZGVCZNeOi62VPBk/Tin93K4GnztGAmKK9aQiaVJHLF3NoDX0kzjvoGAvv3mHq342tuxeLzEt5z0LR5ZNsUPkX0zGWiZ83xmYsIlvY1WP1u+r9zmEzChMwgi4F1y1ocJS4uP3fS9IrauyEiXxGRARG56+pARDaLSDCn8ntKRP5wqnPej6H/nwCTVCO/c/9TfvypdS0gGuglGsp/B/up8GZKKG5ayPC5A2ZPhfKKRSBC+JJ5K1kAr6sGz6IlWX0ckyQTANylMylaPJ/Qa7vIJMwxLiKCe8U6ECH0+hHTLjrJqtmUP93CwPeOELupvzcuQKRuDvbt6xg4bG6l+dvwVXLNmO7B3klKv5+f6oRTGnqlVCeAiJTnft99HxN9omjwryBw6xzJqP4eo3fik3LctbMYPm+efvsEZaXzMewOQp0dps7DZZTga89KJqRj5nXuchrleDevI/z6XlKj5jXRsNfPx9U6l8ALu0lHzHk/wqkyHO/ZzvjVAUZ2nzPlLtRw2si0rdA+7lQopfYAD7XE+EEqY7/yMAd+nBARZlSsZeDKYdNz7CGreFlU2Wi6vDFAqX8OVreP4Lnjps6jKOWiYtlmQgf3kwqaaGRjLkpXbSd6+jzxq+a5/MRaiXfjNsJ7Tpiibw/Z743RuhLXzCr6v3WQVOTRzedIpQ0CQfeUG1AuIscmbZ95h0OuEZEOEfmhiCya6uAHMfTyDif0RPBmjn3nHjIZc1MdAUpstThLqxm5ZK6BBSjxNmMvrSTQYW6bxokq2siZ08T7zGss82aQNhxh7Lh5dztiteJdt4XUcNC0FEyAmK8Jx9YtjPzoNJHz5suM5JkhpVTbpO2L7+AcJ4AmpVQL8NfA96Z6wYMY+iczAfUBsFjsVM5dS9+F3aYHRAFKHPU4fGWMdpnX5HsCf1EDzppGRo/vN/W9ETGoXLqRxO1bRK+amwbqa1qKraI828jExDoI55xW7DNqCX5/rymSxwBis2LfsoVMLEF67O1X9qN7zhM+Y37yg5kopUJKqUju8cuAbcK1/nYUVvQPGW/EQVlTK/2XzG0BOEFpURM2TzGBy+aIXU2m2F6Du3kuI0d2m9oLF6BsdhuZZJLIGZPjB75G3CuXEXx1J+mIefndFk8d7tUbCb12iESPeXK/mVlLsLidd38uniTeF+Dqf/02PX//I80zmz6ISLWISO5xO1k7fs/S3wcx9J99F3N7oiiO+/BVzmJwGhRUAZS5mrG6vASumGvUALxGBb4FrQwf2oky2cVVUrMAq7+E4KEDpt5lODLFlK3aztihYyRumedSMhx2PBu3kbjZR+SwedlSk/zZb8Fw2Kj+xFo8SxqxlXoApsWd88NGRJ4DDgLzRKRHRH5ZRJ7NFa8C/DRwVkQ6gP8P+KSa4o24b0OvlDI3T+4RozRTgdNbzshNc1sATlDmnonF6SZwxXztOU/Gj3/pKoYPvkEmZU615gS+4kZcc+eb2rEKQCwWStu2kuwdYLzjnHnzEKFoYRv2mnIC399LJm5envndjP3I7vMkRyJUfWy1CTPSg1LqU0qpGqWUTSlVr5T6slLqC0qpL+Se/xul1CKlVItSarVSasp86gfSoxeRNhH5roicEJHTInJGRB7IcoiIU0SO5CLG50Tkc7n9pSKyQ0S6cj9LJr3msyJyWUQuisjTDzKemVQYDRgWG8Fec6tEJyj3zMLiLCJw1Xxj7056KGnbwPChnaTj5mZbuK2l+FatZXT3G6THzS2PL569HIvPS2jnPlOLvCzFjfieaif0qrmunMmr+/R4nKGXT1D5oZUAqHSGnAcDgFjPsGlVt9OdB2088jXgH4CPAR8A3p/7+SDEga25iHEr8IyIrAb+I/C6UmoO8Hrud0RkIfBJYBHZIoK/FRHLvQbIZKaPLGm1YzapZJTwYLfZUwGg3DMbi2N6GHtX1Ent/C2MHt1LaszcGoSiZBFVy7cROnqYxJC5xW/ukmbcK1oIvvKGqX57FffmXDn9RA6eMdVNEgi6GX6tA7FaKN2czSYUy4/NV3o8zsiuc1z5/Le4/J//9YkP2N7Jgxr6QaXUi0qpa0qp6xPbg5xAZZnomGHLbQr4EPCPuf3/CHw49/hDwL8qpeJKqWvAZaD9XmOkUzEScXObckymzr2IWGiA8VHz/K+TyRp717Rw4xhWG7ULtxI8fZRk0JzeqxOIxUJl6xZi164SvWaeCieAI+PP+u0PnyB+w7yUw6wrZwX2hqpsVk5Ub52ISqUJ7z5BOhhhaHcX1Z9cm92ffuvdTrR7kHjvKIu+9GuUv38FAy8cJXxmWla9msKDGvr/IiJfEpFPichHJ7YHHVRELCJyChgAdiilDgNVSqlegNzPytzhdcDkVjE9uX13nvMzbxYhZKC35zDptLn+38k0+JcTHrxKLGxOyfedlHtmYXW6pkWAVgwLNfO3EO46R2zA3IthVup4FZl4jMhpczOVxGKhdMVm0sOjpubbQ7ahiXvNRkKvH9VaYKUSScZPXuTGb/056fAY6caFBIJuxGK8eYeRHo8zuusc0ct9OKr9+FfNYdYf/DTu+bXa5jndeVBD/2ly7hayLpsJ980DoZRKK6VagXqgXUQW3+Pwu6V1/sQ9pFLqixNFCDabm7qm9dzq3md6Gt9kGkvbGe05Z3o7wgnKPLOwFnkZnQaplyJCzewNxPp6GL95zezpUFK7EFtZOcH95jeZ8TW3YquuJLRjtyktAicw7Ha8G7aSGg4R3n1CiyvHcDmp+p1PUf3ZX0QsFgI/2EdqOJg19jn/vOG0U/GBFbhm19D12a8Ru5W9MzRs1rzP71HhQQ19S86Y/oJS6tO57Zfe6eBKqQCwi+yFo19EagByPyciQD1Aw6SX1ZNtbXhPXGFFZe0ybt80txpzMlmphDUMXTtGMj49NLHL3M3Y3cWMdp0weyoAVDWuJD0eIXLZfPlnr7ce95IWAjtfJ2NywNjlrsezrp3Qjt2khs1tDO+c04JzYTOB7+0iHdTjIi2aP4P6P/0t3CsWMH66i8jBMwSCbkaHHIghOBvKmfG7H8Q1v45ot3nB4+nKgxr6Q7ng6DtGRComGomLSBGwHegEXgR+IXfYLwAv5B6/CHxSRBwi0gzMAe5LZNwXc+IrbmSg13z3xARZqYT1DHQdJJWcHtoepa4Z2H1ljFw0r7H1ZMqrliBWm+n6OAAufFS0biJ4cD/JEXPb0dkTHkpXbyd64RLRC+Zmchn2KrybtjN25JxW2WNbdRm+LW045zSQSSQJ7zvFSO+PczOil/uI3Zge7tHpxIMa+vXAqVya4ztKrwRqgJ251x0l66N/CfgT4CkR6QKeyv2OUuoc8E3gPPAK8OtKqfuutCnLlGG1OhkdNkeD+24YhoXmynX0d+4lbXK/1wlKnY04S6oYvjA97oBK/XNwlFUxYrJkAmS7RVUu20r08iWi3eYGacUwKFm8FrFaTdW3h2wMwd2+AawWgq8c0FqHYC33I1YL6UCYW//5C1z76hGuf+sM0e5BKt6fVaQ0+3MznZAHeTNEpOlu+x808ybf+Dx1avXiX33LvpvRC7i91Xi8NSbN6icZK07Td2EPNQu3YFimhz8xkOplrK+bsoVr3pKjbBZhhgldOEVZ+2bEcs+sWi2M9l4gE43ibV1u9lSIMcLYgWN41q/C4vOYOxlLgPDrR3G1LcReV6F16GT/MKPf3YW9sRpHcy01qytRGYUY9/f5PfG+Pz6ulGp7N3NwNDWomt//7SmPu/7s777rsd4JD7Sin5xS+U7TK82ioWgBgeGrxGPmSdTeiTtooWreenov7JoWipcAfmsNntpZDJ3ZNy1WRF7K8LesZvjgG6YXVkFWNsFeXU1g7y7TG7I7KaV01TbGjncQu9Jt6lxI+/Fs2k7iRq92JUxbVRmVz34M//vWUbSgmUDQTTCck0hIT59kDDN5UNfNI02zbxn9t06SSprXfOJOPGEblXPW0Ht+l+nZHRMUG5X4mhYy2GG++BiAO+GmZv4mRo/tIxk2P2PJ66rFu3wlgd1vkI6YW68hFgulyzaiYnHC+83rGgU/lk9wzKrPNjUJmZtwEAi6SQwE6fvWQVKhcVPnYjZPlKEXMZjpX8mt6/unVfWsN+KgcnY7vRd2TQvDCuCjFP/sVgZO7TJdfAzAsNqpXbiV8IUO03PtAYrSbiqXbyV86gTx2+Y07piMt24hRfPnEHrFXBVMAKOoBu/GbYwdPsv46S5T5xJ11ePYupnRPReeaHmEJ8rQAxiGlbqmdfR07502RhXAO1ZEefMKei9Mj1U0gDddTNn8dgZO7iSTNv/CKGJQM3cj8YFbjF03/0srhoXKpRtJDg8xds588TqnpTzryjl6kvjVblPnMhGoNZwOAi/vN1UcTaxWbBs2Yivz0P/8IVLBJ291f1+GXkTCIhKatIUn/8z3JB82rohQWbOMW9fN76s6GV/UTVlTK32de6eFfxyybpOyxesYOLlzWrRJBKisb0OlkoQumF/oBVDa1IKl2E9g/x7T/fZZV84mMtE44X2HTXcH2qpm49vSRmjHYeJXzO0elSifhX3LJkb3dRI4bO6dhm7uy9ArpbxKKd+kzTv5Z74nmQ98MSclZbPou2V+rvZkimNeShuW0HdxGhn7mJP65o0MduwhFZseq6GysgXYSsoZOTY9qp99vgY8Lcumhd8ecq6cRfOywmghcwXjVMKLd8M20uExQjsOm3oxFKsV2/oN2CuL6fvWQZKj5v+vdPDArhsRaRGR38htS/MxKV2UpPwUucoY6jdP//tuFMd9lNQvmlbG3mK10zBzM8PnDpAcnx43cX5nPd65i7K69knz6xFcGe+P/fY9N6d+QZ5xShllq7YzfuIMsYvmu7oczUtwty8i+NI+ErfNVQhNlDbj2LaF8cv9ps5DFw+qR//bZKWKK3Pb10TkN/MxMV1UUI0YFkaHzf8iTMYfL6akbiH9F6dHmiOAYbHSMHMLoxePEw+aWyU6gSdTQsmK9Ywc3k0qYu7KFX7st08FA0Q6zO/VKxYLJa0bQITwrv2mu5agNJeG2ZfVyzG54EvNfaTXqvfNg67ofxlYpZT6Q6XUHwKrgX/38KellxrrDJKJMcLB6dWB3p/w469bMK2MvRgG9c2bCN/sJDo0peSQFlxRJ7ULtxE6f4LYwPSYU0nDEmxV1QT27CKTNF9F1VM5F1dbK6HXdpEcMlkOWoSiBSsoWjSTwIt7SA6aq93zJPCghl6AyUuCNI9J0/B65zwioduMR6aX/qNYjgAAIABJREFUINKPjf30ceOICHUNa4kO3ybSa77SJGQvQDVzNxEf7CVytdPs6QDgddXgbV9FcN9ukiPmGlcAR8pH6eqniF++yvhJ87OExFaJd9N2Yp3dRA6cnjafb7MRka+IyICI3LV9q4h8KCdBcyonzb5+qnM+qKH/B+CwiPyRiPwRcAj48gOeY9rS6F7CyNAlYtHpUz0LE8Z+evnsAWqqV5CKRghdN19pcoLKuhWIYSHQcWRavFdFiSIql28jeuUS410XzZ4OIoJ//iqsFWUEX9tFJmZutbEYBq6lq3A01xJ4YQ+pEfML4qYBXyWr6Pt2vE5WSbgV+CXgS1Od8EElEP5H7sQjwCjwaaXUXz3IOaYzIkKzbzkDvadIJKZXNN6fKM4GaDv3TAsDNkFV2WLk/2fvveMcS6s77+9zFUtZKoXKuUNV51id04A92AwwxBmDeRfw4vHil2DMAvausfGuEwa/sPYaY8A2GDOEAQxmGMDTOcfqVNW5K6tyKZRUys/7h6Se6u7q7uru6tLVTH8/H30+pXuv7j1SSec+z3nO+R2NjvHLhY9H53E55lFSVcfY4V1kCtjwO0+2mcm6rCLn4QMFT3kEMFmqcS7fzMT+I8SvF74Tk2KqwLr1CSbbr9/x85GZDKPfeonIiY45tm5ukVLuJetj77R/Qr7iBMxM05/jVu4760ZKeUJK+SUp5RellOr5dc8S+epZf89RUqnCa6tMxRG3Z1MvL6inqArAbW3C4PAwcu6gam5CNo0Xx/J1jB3eVfB+tHnspQ2YW5YQ2PWyKhaOFb0e1+odZKLRgithQm50v2QtQpneLWXCUbROK0NffJ7AT/bNsXWzhvtGJ7zs44MPchIhxNNCiAvAT8kOvu/K/WbdrBZC/FAIcfIhZIpVjyI0WamEzv2qakcI2dRLV+3yrDaOipy9U1+JtXo+w227VCGZAGCKm6ho2UHo/Elig4WXKYCsvr131Q4iZ9qY7FTH+oa1chGmZYsI/XxXwRdqAdJBPemg/rbtGrsF6/bV6Kt9GJvrAAp+c8oj0qANaO75AEbynfByj688yPWklD+UUi4k21v7T+91/P2O6L9FNk7/Nl5pI/jU/RpZDGgUHVV1m+nt3KsqXRwA+6QFd8PqnBCaOpwqgI1SXAvXMnhyp2qqaIWioXz+VhKjw4Qvq6NeQigaPIs3IxNxQkcPq8JZGaQzt1B7nciJuVWfvBPTOfvAf+xD6yvF2FSNlPKOo//XCrkwT6MQwn234+73UxqWUv5YSnm92GSKH4SSsKSiej2919WliwNgi5rwNK6hv32XaiSOISuZUFW/meHTe0lGCx+eyOOpWI7WZM41MlHH/9JRtpCS+Quy1bSRwq8JZRdq16IrLyP088KLo8HNo/vk8DjREx043rw1u3Oam5EablCPGiFEk8g1ixBCrAT0wF0LW+7X0X9GCPFVIcSzQoi35h8PaG9RYI4olFWtpuf6XtU4iDzWSAm+eRvwn99JRkUhJo3WQE3jdsYvnSAWUE+6qsNcl62kPfgy6Zg6pKrNihPv8u1MtJ0i1qWOUI7JVIFr9Xaix08XvGVhnnRQT+gXR9DXlGOoLbvjaD7ZO8ToN19k6O+/P6cdr2YTIcS3gUPAAiFErxDiA0KI54QQz+UOeRtwTgjRBvwd8C55jzvc/Tr69wHLyab+PMUr4ZtXNZaoDm/5cno71VO4lMcyoce3cDP+9t2kU+oIl0A2PFFVt4VI/zUiA52FNucGlrSD8gXbCJw6RHxEHeXvQqPBs2QzmXiC0NHCL4pCVhPGuXwzikFP6D/3Fkx9UiZThPceIukfZPJcJ7Zf+dXcDnnTbzE9ESW85yTjP9hF7HI3ikGPTBSno5dSPiulLJdS6qSUVVLKr0kpvyyl/HJu/19KKRdJKZdLKddLKfff65z3279umZRyyQNZX+TYYkakbxH93QepqNmgijZ7eSwhLSW+jXR27MW3YBNafUmhTQKyoYCKylaGxs4TvH4Oe/3iQpsEgKLVUb5wO8N9J0gGx7A0NhfaJAAcZQuI+gIEdr+MdU0rWmvh9QLNrkZ0FeVM7DuEoaEOQ8O03UQfGTKVIn7lOuPf+zEahx2dp5R0EDT2RPaGKAThfW3Er/WiLbVjWrmQ+JUezGtaUEzGObVVzdzviP6wEKLlkVhSBNjjZpyl8/H3qKOB9lQ0Gj31ZZsZvHSAZKzw8d6peF2L0BrNjLYfVs2MSAiBt2o1it7IuIri9ibhwLvyCSLnzxG9og4pXX3MlE3DjMWyejnJuRspKyVG3O//Dco+/VG0pS6CL+0k0ecnHdSTCRuJXe1l5Gs/wrJ+KY43biY5MILGYUFX5Z0zG4uB+3X0m4A2IcTFB02vFEJUCyF2CSE6hBDnc0JpCCG+kyvpbRNCdObiTwgh6oQQk1P2ffk+bZ5VHEkrdmcd/p6jhTRjWhRFS4NvM8NXjxKPqqu612Wqw1LRmE2/LLiw1is4rfVY8nH7SXVIMAtFwdOyAaHREDy4TzWfl7WiBdOaFYR27iPRM7fpqvoKH76PfhDLplaS/sFs28RUCq29Guv2NQz/wwsMfOFbJP0jmNcsQuuwzql9aud+Qzd3K8udKSng41LKk0IIK3BCCPFLKeW78gcIIT4PTK2Fvpor91UFzpQDac8w0HuMsqo1hTbnJoSiod63ic6uQzgrWzDaPIU26QY24UbT3MrgqZ24l2xCa1BHiMmSdmBauJ2BM/sx18/H6K0otElAtsBq0usjsHcXlqXL0ZXeNYNuTjAkrRhaX0eo+yzx691YNq5FaDRzdn2NxYx59XIy0UmENuu+nG95Gtvrowx96csk+oYwrViIvsqbXbBVUYi1kNyvBELXdI/7PIdfSnky93cY6AAq8/tzaUPvBL59P+eda1xpF2ZrOYN9Jwttym0IoVDn2UBw8AqRMXUUCuUxx003dO3VInUMWQnmigXbSIwOE7qgnhrAbG/aJ4h1dzJx9nShzbmBrWYJpuVLCP1yD4m+gTm/vmLKDhLyC9eJrh50lVV4PvheDLVlAI+d/BQKWhkrhKgDVgBTg96bgUEp5dQAZb0Q4pQQYo8QYvODXm+2Kc24KTF7GOxXnxKEEIJa1xqiAT/hoWuFNucm8rr2E32XVKN+mcdTvgy9s5TRI7tVoZMD2f9laeNqdB4v43t2qiY11JCx42p9HanhEcL7DhckxJRPsdTYbRjnN2Jc0ITGXjPndqidglXGCiEswAvAR6WUU1sWPcvNo3k/UCOlXAH8HvBvQojb0hGEEB/M60ckk3NX6OGWHkpMpap09gDV9uUk4xEC/eqQ7s2TzchZRzoeJXBVPSNVALuhEseyVsaO7CYZLLwkQB6rqRzPks2Ejx9VTc69EAJb3bKshEKBRvcA+spyLOtWoRiyxVX5Qqt0OEp49wnVrHMUioJUxgohdGSd/LeklD+Ysl0LvBX4Tn6blDIupRzN/X0CuArMv/WcUsqv5PUjdDrz/Zr0ULillxKTS7XOvsLUjBAKo13qcqgAXmcLelspw2f2qSJ/PI8pVkJFyw4mrl9i4nrh5YXzKFod3qVbySSSWSVMlTgwQ8bxyuh+7yHV2EXGQcmyeQR/eqDgzckLyZxXxuZi8F8DOnKyx1N5HXBBStk75XiPEEKT+7sBmAeoKxYBuKVP1c7ep2/AYHYwdOWIalIc8zj1lTgalzJ48mXSCfUohgqhUFa3DkWjzUonqOhG5PDNx7J4GYG9u0iOFLb/ap4bo/sVSwj95945z8y5E0JxY936OtKRGMEXD5CJzv53TKRBH7r3o1AUojJ2I/CbwI4pKZO/ltv3DLcvwm4BzgghTgPfB56TUqpnPj2FrLMvZbBffQu0AG5RidVTl2tgoh6nBWBJ2aiu38rIuQOqWqQFcNoasS1YwujBl0lNqKMxOkBJxpJdqO3tIdx2UjU3cEPaTmnr60gFQoR3H0SqoJUigKG2BdOaTYT3txE5dl41n9dcMOeVsbly3WmXw6WU/2WabS+QDfMUBW7pZcQkGOw7ia9yZaHNuQ1nqhRNzTL6z++kvHkbiuZ+vwKPDkWro7phO/6+oyQjASwVjYU26QbmlA1TyxMMXjqMvtSLubap0CYBuYXahpVEEsPZitrVrWit6sght1UvJt4QJrz7IIbGWgwNdYU2CUWvw9K6hfREH8Ef78W0dlGhTZoTHlfGPgLc0oPJ4mWg93ihTZkW26QZ3/yN+Nt3kUqoI4MjT142IZNKMnbxuKpGXUJRKGvYAFIyfvKgqkI5Zr0H74rtRNrPErmgntaOhqQV15odyGSK0Mv7Ct66MI/GUoll6+vIhNVRJPeomfPK2NcKpRk3FlsF/l71VdACWMK6nGTCQdVV0QJ47AsweasZbttNJq2ONMc8Lsc8LPMXM3roZZIqCuUIRYOneQNai1VVaZgAFt8CHEvWM3HwOJPt6ljcFkKg86ljZvaouV9H/yTZxdBf4VXeeGQ2cKVd2Ow19HerR+NlKoqipaFsM+M9Z4mO+wttzm3YFS+ulnUMndpFMqKuptGWlI2K5ieYuHSOyHV1SPnmsdqqs2mYJ44xefVKoc25gaI34Fq5FcVsIviL3aRD6tJkejUz55WxrzWcKQcOVwP93erppzoVIRTq3OuJjPcRGlSPU8hjjhmpadxB4NpZVckdwyuhHKHRMnZcPZo0kEvDXLIFNAqBfXvIJAojMzwdZnsdrlXbiJ5tJ3K8TZW/i1cbM3L0Qoh7ppHM5JjXKo6kDZdnIb2d6st2yVNtX04mlWS0W3259kJRqKrZSCoWYfyy+r5mTlsDtpYVjB7eRSKgrowhu6sB29p1hI4cUk2RFWQ1+J2L1qOvrcr2qh1UR4roq5WZjuibczH5Oz3OAoVXXFIx9rgZT9lSVXaqylNmnIfB7GLwkjpnH15nCyWlFQyd2kkmpY6UvTzmhIWKlieIdl8jfPFsoc25CWPcgHfZVjLJFIEDe8kk1TO6L9H5cLW+jkSvP1toNYcSyK8lZppbt3AGx6hn3qpSbDEjSuUquq/tprp+C4qintTGPG7K0VWY8bfvomzhFlWlXwLYNT50LXaG2nbjWrAavdVZaJNuIITAV7OGYLyP0cM7ca7ciKI3FNqsGzi885isqiJ06CDGujqMNXWFNgnIfm72xhXEtSHCuw+gr6vGOK+h0Ga9qpjRiP5OsflbHq/d+uL7wBLVUVG9jp7re0irqM/rVOxxG9556/G37yIZL3yD6FsxxYzUNO0g1H2BcJ86mnNMxW6opKxxE+OnDjHp7ym0OTdRkijBu3wbmXiC4IF9qhrdG1I2XGt2gBCEfrlHFc3JC4EQ4utCiCEhxLk77F8ohDgkhIgLIX5/Jue836ybomAuRc0eBHNEobJ2E73X95BKqSOv+Fay6ZdbGLl6lMmQ+uKnQihUVq0DSa5zlbrCYYpOT8WCbaQiYcbbDqsq5x6yEgrWVWsIHT7IZKd6YvcAFncTzhVbiJ46R+TYKdV9dnPAP3P33h9jwIeBv57pCV+Vjl6j6OkbVqfmTB5TWNLgbKWv6yDJhDpvTIqioc67iYnh64QGrxbanGlxW5uwVi9g8MTLpGLqK35xu1uwNDZnc+6D44U25yaMCSPeZdsgnSawfw+ZuIqay2u1OJdsQF9fS+gXu0n0qS/991EhpdxL1pnfaf+QlPIYMOOQwKvT0WcUrCYf/cPqyyCZikbR0ehsxd97jNik+oqWIBs/rXasJJNKMNqpzpunNeOgumEbYxePER1WXwTRkrZT0fIEkc7LhC6qr77Q7mnCvXAdoWOHVdOnNk+J1pNVxRwdJ7Rzv2oqax8Cd15OPff44Fxc9IEdvRDi9UKIfxRCLM89nxODZ4ozYsFcUop/RH0/rKkoQkOjYy0jg2eJTgwV2pw7Umach9HmZeDCXlVOpRWNluq6LSTC44xfOqG6rCEhFHy1a9E73YweUlfVKmSLmbxLt6LodAT27iIdVc/sSAiBrWYJjsXriBw+QbTtnPr+v2kwBO79AEbycuq5x1fmwr6HGdH/N+ATwHuEEDvIqlqqClfURonBycCoutLdbkUIhXrbaoKBTkJBdS3eTaVU+nDVLqe/fSeppDpHVr7SxZR4qhg6tZN0Uj2hiDx2fQVl8zYTPHuMSJf6CtRszjrcizcxcfoUkfbzhTbnJhS9AefyLejKvIR+sZvkgHoHRmrjYRz9sJQyIKX8fbKSCOrqkp2jdNKOUW9nYHTaBWzVIISg1ryUWHSM8VH1OYA8tqiJeu9Ghi4dJBYeKbQ502JXvFTWbmL03AEmR9UX21W0OsrnbUEIwdgxdeW1Q9Y+z6KNaF1Oxne/TCqorrBiibEc19onSA4MkYlOPzNK+gcZ/NI/Et5/ZNr9rzXut2esUQixWAixCNiZ3y6l/BTwjdk2brYonXRg1NtU7+wBqowLyGRSjAyq11ZFo6Pet5nQ0FXVLtJqtHqqG7YTHx9k/PIp1U31Iatzb1+6lvET+1WXhglgNVXgXb6d6OVLhE8dV1XILt/kRJ+wTLtfSolpxRLGvv1D4p3q+2zvhhDi28AhYIEQolcI8QEhxHNCiOdy+8uEEL1kW6v+j9wxt7VXncpMJRC0Qoi/AnqBfwH+FfhbIcRf5doCIqX8Pw/+1h49xeTsy7V16PQW1cocQ/aHVuNYRSaTYviauuSEp+LzLKOktJyhtl2qDOWYJo1ULNxBOhLOSh+rSC8HsvIT7vlrMdY3Eti7i8RgYXrC3g1tQHPbNn1FGRqbFUNTHYa66gJY9eBIKZ+VUpZLKXVSyiop5deklF+WUn45t38gt90mpXTk/r6rjOpMR/SfA1xAvZRyVa5RdwPg4D5yOQvNK85e3TF7AA9lWB3V9HbuV12O+FTK9I1YSqvxd6hPTjiPXeOjsmYjo+cOEh1RR3u7Wyl1t2BdsJTRo7uJD6vPmZoVJ94VO0iOjBA8dEB14SZtQHOTw5epFOHdB7BsyEaUp85GZDpN7GonyWF16RI9SmZa3/5GYL6cMmyTUoaEEL8DXAA+8iiMexSUTjoYLRH4R85Q7l5aaHPuijNpR1u2mJ5re6iq36xKyQTIdq3SNa3D37EbT8Ma9CZ7oU26jWwoZxuDo2eJjfpxzl+FEILjf/9xrrjK0WbSpBWFnyxYw7eWbUGKuc88NictmBbuyGZg9XXiWLoWoagnA1oIgbN6MZO6SUKHD6Evr8DUNK/QZt1E3tmHezrIRGNYWlcB3PQ5ynSG1PAoo9/8HvqqioLYOdfM9Fsk5TRzcyllGlDnnP0ulE7aMRld+EfUnWcPYJ00UlGzjp5ru0kl1ZWSNxVLWEdD2RbGe88RHlGvcrWvdAnmsjqGTr5MKhYhrtHxzLt+n7c/+0mee+o5NnV38NvHflEw+4QQeMqWYmlqYfTwTuIjgwWz5U6UJEvwLtuKotcxvmcnqXC40CbdRmT3McxrlgHctrag6HVY1q2i8o8/gb6qvBDmzTkzdfTtQoj33rpRCPEesiP6osMVtWEu8dCv8gpaANOEoNG5jv6ew8Qm1VVdORUhFGpLW0nFIoxcV0+z6luxUUpV/VbGL91s47jJyp9ufSfvOrsfpETJZPjowR/zr9/7G77z/Od42/mDN45976mdN7Y/d/QlAMpDY/zg3/6Cz778b3zn+c/xuZf+GeMDhjjyjU3iwwMETh9R1UJoHpujDu/SrUQvtKtisTYTixHYu5vIhXZS4TCu1Tumjd+nI9EblbamZY97xk7lQ8CHhBC7hRCfF0L8tRBiD1m9hd95dOY9WpwRC1ZTOb1D6l30zKMoWhod6xgd6iAcUmecOU95yXxMropc3F6dwm2KRktV7SZAMnLuADKTXQTts5eiIHFNTvCWjiNM6Et4zzs+xnve8THe2n6YitAo67ovUhMc4T1v/yjPvOvjNA/3srI/m31UHxjihZb1vOuZTzChN/KOcwce2EYhBJ7yZZgbmxk9vEuVsXuh0eBe0EpJbrE23lfYyuTk6DCD//ZNUoGxGwvbupDuZoefShH6xW56fu+PCP5yT4EsnVtmql7ZJ6VsBT4LdALdwGellGullPfldYQQ1UKIXUKIDiHEeSHER3Lb/1gI0SeEaMs9fm3Kaz4thLiS61X7q/dzvXvhiJhwWGroGTyq2hFoHiEE9baVTEaGGRtRV/u6W3Gl3Hib1uHv2EM8ou5ZiL1hKUOndhEPZhfnRO57sL7nIm+8eJznv/PXfPP7/x/2WJSawAjrey6yvuciz3/383z7u1+gbnyQmkBW+M1vcXC6vB6AF+evYsXAwwuGZUf3O4iPDjF+6tCNm5KaMClOfCufID0RJrB/T0EqfxWjEc/T76D203+EZekKAvv3EL3YcaMOQJNbe9XYbbjf9yzW7ZswLV8853YWgvta3ZNS7mRK/vwDkgI+LqU8KYSwAieEEL/M7fsbKeVNWTxCiBbgGWARUAH8pxBifm59YFawTxgR9kZ6Bg9T7VuHEGK2Tv1IqDIuZDDTy2D/KXwVKwptzh2xhHWYy7bQ4z+JweLGXqbORsyWpAVz4w4GBk7i7u4gLRTGSiwIJH+5+WkO1dzcjmFDzwW+vvIJXli04abt5aEx4ObvzmwNHfKx+4guzOiR3VgaFmL0Vc7S2WcPR3kzGXcjo23H0JgtmBcvnfPfk6akBPcb34yUknhPF9HLl7CtXku8txujJnsTTjnSoAhi59XRqPxRM+dL+lJKv5TyZO7vMNAB3O0b+2bgeSllXEp5HbgCrJ1tu2whHR5nM10DB1WdzpjHp1RhtpbR23lA1fYKoVDjXA1Ihq6oT044jxCCZscC/vzSSb7uriQVn+Rg9ULecf4g2lwIoCYwhDEZ52D1Qt7ccZSSXF6+ZyKAM5pdkCyfGGdprrftk5dP0lY+uw00zEkrlc1PkAwFGDtxQHWdtiAr0exp2Yi+vILAnp3EBwpTnSyEwFhTh231WmQqRaT9HH1f/j9MnD5F5vIo4ZcPYFq9rCC2zTUFzdcTQtQBK4AjwEbgd3OLvsfJjvrHyd4EDk95WS/T3BhyomofBDBqrA9kjyWooJQupbN/P7XlG1GU2xdy1IQr5URXtoTua7upqt2IRquebka34tPVEyx3039+J755G9AaTIU2CQBDOsk3Xvx8Nr1SKPysfhXfmb+R8UtH+KarnAqnj3/73ucRwLjRzO+94f0crllA/fgg//LCFwGY1Bn4w9e9m7RQuOb08dSFY/zh7u/R43DzvVtG/bOF27OIaFWU8eP7Kamqw1RV/0iu8zBY9B7MK3YQ6Gtn8uplbKvWohiNBbFFaLWUvuEpIhc7CB3cj+bSRZzbdmDxzGM28pqUNBiC6g39ikLFpYUQFmAP8L+llD8QQviAEbKz3T8FyqWU7xdC/B1wSEr5r7nXfQ14UUr5wp3ObTeUyQ2V73lg2yadWnqHjlFbvgGNonvg88wV6XSCa8HjlFWuwmBUXw77VDKZFF0jR7D5GjG7qgptzl0ZnbjK5Gg/pYs2zKilYnlojC+9+FXe8cx/nwPrXmEscJn4UD/2Za1oDIVxpPcik0wweukYGrMZ85JlBQ+PZpJJFF32t331U793Qkq5+mHOZymtlovf8LF7HnfkWx9/6Gs9CAWpxsjJJrwAfEtK+QMAKeWglDIts3P7f+SV8EwvMLWGuQrof5T2lYynqClbR5f/IKm0+srmb0Wj0dPkXMfI4HnCQfXpsU9FUbTUezcSjwQKmoJpTkzyF3v+CXPizouGpZZGnAvWMHxmL5MqragFcDnm4atfT/DMMSaudhTanGlRdHo8izZiqKzKhnMKnJ2Td/KvFebc0YvsrfxrQIeU8gtTtk+tXHgayIvS/Bh4RghhEELUA/OAo4/aTsNonAbNYroHDpNQeWtCyEsdryQ2Oc7IUHuhzbknFaaFmEur8LcXRk54c+95tvWeY3Pf3T8rc8xITcN2EuHxbMvCu+SK+22uOR/N51F0esrnbUZrtjJy6GWS4WBB7LgXZp07m50TiRDYt5t0ZKLQJr0mKMSIfiPwm8COW1Ip/0oIcVYIcQbYDnwMQEp5Hvgu0A68BHxoNjNu7oZG0dGoXUrf8ElicXX+cG6l0jAPnc5Mf/dh1aeLOpMuaj3rGbp8kOj43C7YPXU1O1Z449WZjRm8rkXYapsZOrWTeFB9PXTz2I1VVCzYRuT6RYLnTqh28dtRtgDP4k1Ezp8jdPyo6sTcXm0ULEb/KHnYGP2tSCnplO2U2pswl3hm7byPkpBxkqH+NirrNqLR6Attzj3pi5yHTAZX7fJHFr/d++3/jj6Xg55BoCDJ8MpoJ6Fo2PLsX931HFJKBofbkJnMDb0ctTIhxgmeP4mlqRmjV72aLlERYuLUSfQVlQXRznkco38MkE3TqhMtjIe7CU6oN1Y7FVushMraDfR27ldtP9qpVJoXYXJW4G/fRfoRda96w9v+hD/e8Buc9tSRzolcKUAGuGbz8bUlv0JtcBDuMvgRQlDmXYG5vJ6hky+TCKu3GMwinVQ07yAZHGfs+D4yCXWuN5mkDe/ybSgGA+N7dpIcUe+MqVhRpxyiChFCUMs8+uLdpNIxSu2NhTbpnpSEJU3OdXQNn8FsLcPurCu0SXfFmSrF5llP95XD2HxNs56VE9GX8FL9KpCSpnE/ukyamEbHCV8jZZEAv3P6Z/zO6Z/RaynlYGUzByuaOelrJKG5feHOJl1YG7cz0HcSodHiaHp0M5GHQQiRTcWsiRE4fQS9y4OlsbnQZk2LzV6DdXk1491niF66gGXlajTGkkKb9argsaO/TyrTNQxqBhkca8fnaim0OfdECIU663L8yesM+dvwlquute9NaDQ66r2b6I9cIBrw465fPesO9KmrRzGmEsQ1WnTpFIZ0ine/8ROUT4yxvv8CG/raedOVI7zz4n5iGh3Hy+ZxoKKZg5XNDJqdN84jhEJ5+WpCjDB08mWc81ehtzp+EWekAAAgAElEQVTvcuXCYZo0Ypq3hWC8j5FDL2NvWYnOrj5bhRC4apdl0zHbjqMY9FiWrkBo1F3TonYeO/oHwJfwMVoSpG/oJBWeFaocyd1Kua6e8ZIAPdf3Ulm7QbXa9nkqTAsJGIL0n38Zb9M6dMbpW8Y9CEmNlh/OW8+P5q3nLZcPUTWRFUHxW1z8YP4GfjB/A4ZUkpWDV9jQ38GG/g429bXDMbhiL7sx2j/rqSOtaLDhLorRPYDdUIltYTnDvafIXE/iWLIaMYMagbkmW127gagMEDywL6t9P29+oc0qWh4vxj4EIWuckcBlasrWIQrQqOJBiJgz9PccorxqLXrDg1UQzyWZTJrusWOU2MsKp5UjJXWhoazT7+tg+dA1tDJDWGfkSPkCDlS2cLhiAeNGKyFGCVxpwzl/JXqrqzD2zpCIfoLg2eMYy6ow16pThyhPKNTD5NXLmBe2oPeVzeq51bYYK4R4EvgioAG+KqX8i1v2O4GvA41ADHi/lPKuPVIfO/qHJOoQ9A+foqZ8fVFU0QJImaEz3IbVXoXNUVNoc2bEUKqLaKAfb9P6GVWpPkpMyRit/kuszzl+dyxMBkFHaTUHKxayv2Ihe5LDSCFwzl+p+kFAINJJtOcatkUr0VkdhTbnjkgpCfS3kxwdwbJ8JVrL7AxU1OTohRAa4BLwerLFoseAZ6WU7VOO+RwwIaX8EyHEQuDvpJRP3O266puzFRmmgKS6rJUu/0GqvGvQ69Sh4XI38sVV/YlrDPafwluu3lBDHq+2lnBdGQMX9uCsXkqJrXBprlGdkV01S9lVsxQhM8wf72dDXwcb+9r5wNlf8l/P/oJRo5W9lQ282H2BtmVbSHnVe0N1mOuwz69huPMkmXRKteEcIQTOykXIshSjF09BKoVlxSoU/fTpwzKVQmjV9z7uwVrgipTyGoAQ4nmywo5TK/tagD8HkFJeEELUCSF8Uso7yvYU3aegRgyjcRq1S7k+fBKvqwWTUd1T9jwVugbGTUF6O/dSUbMBzTTZJWrCOmHA4ttC/9g5ImM9lNYWfn1ECoWLriouuqr4pyWvxxGbYF3/BTb0d/BEz0WeTkySvHKKY3Y3RxasZX/9Iq45faCyG6tQFLzVq4noJhg7vh+jtwJzvTpj4kKjxT1vDZO6SaIX2rEsnT7BIHzqBMHDB7CuWIV9w2YQouDfF8AthJja6egrUsqvTHleCfRMed4LtN5yjtPAW4H9Qoi1QC1ZaZjHjv5RowgNDZoldIcuk0xFsVvULdiVx5m0Y6hupbdzH77y5RhN6r5JCSGotC4hoBvH374TT2PrrC7UPiwBo4WXGlbzUsNqNJk0i0e62NDXwTr/eT525Kd87MhP6bO62F/bzP7aZo5XNBHT3TwiLUnGee+pXbzr3AHssQhBo5nvLN7IN1ZsZ1L3aBVKzUkL5gXbCES7GT28E+vCZegdpY/0mg9KSbKEkrrlTNesUUqJsa6eTDxGYM9ObK0bHqm+jUhJjKOpmRw6co8w0XR3olvj638BfFEI0QacBU6R7fNx55M+jtHPPn5tH0IoeJwLCmbD/SKlpDt6FoPRgcutzpHcrWQyaXrGT2C0lmIvV/9n7Y2Ms/Tqbjb3XWFLaJSSVJKYRsuxynnsr21mX20LgRIz3/j+F6kKjWBMv/LbjWm09NrcvPftH3nkzj6PlBlG/KdJTUZxLFmNolevDDZAwnb7ttGfv4iMx3G/6WlkJoNQbl8vmY0YvdVeJVdt+PA9j9vz0ifvFaNfD/yxlPJXc88/DSCl/PM7HC+A68BSKWXoTud9PKJ/BJSnKhkpGadv6AQVnpVqmC7eEyEEtealDEk//d2HKK9uVf0ioqJoqC1dy7Dsw9+xB++8darW5B8yO/nPpU/z49Y4E+cPsiWT4VeiYTZ1tbO5u4NP7/sBY0Yztvgk2ls0aozpFFWhEd57ahf/sPbJObFXCAVPxQqiJTECp4+itdqxLlii2u+zPufm8g4/FQ4RvdCO79nfvO3YVDBA+MQxUF9+/jFgXk7AsY9sd73fmHqAEMIBRKWUCeC3gL13c/Lw2NE/MtyTTkI2C10DB6nxrVN9E5M8XlFO2FtK97XduRRM9YRF7oRHVGJqKmPo8iGsnnos7tpCm3RXTJMGTA3bORTr4Rf9V3C99cM0JibZ1NXBRw/95DYnn8eYTvHOcwfmzNG/Yq8R07zNhNJDjB3ehal+PiVlN4cmf/vAL/n18ydJCwUpBH/8hndwpnLm/4fP/eibNA0P8MNla/nG2q0PZa8uKBFCEDx7Gq3Did7rQ0p502g+E4+jr6gkcvbMQ11rtpFSpoQQvwv8nGx65dellOeFEM/l9n8ZaAa+IYRIk12k/cC9zvvY0T9CbCEdes8KOv37qfatRactjnJu66Qes7OVroHTWGwVqpdOADCHNNR7NzGQuMrgpQN4GlsLnoZ5L5zGahx1Ffi7TtCm0dK1dDMfP/Dvd39NLMLiwS7Oe6uRczzjsmm82Jp3MDp+kdEju7EvWonWYmNZbydbr7Tztvd/nKRWiyM6gW6GapSaTBpnNMKK3k5e97v/c1bszM84om2nceVvGlLetACu9/rQe32YF7YQPvHIVc/vCynli8CLt2z78pS/D5GVa58x6v4lvAowjqWyGTlDJ/C4mjEb1bmwdSuK0FBvW8lAqgt/z1HKqlarPpQDUKZvJFxbxcCFvTgqFmJyqle1EUAoGioq1hJWxhk6tYuAvgTXXZqhAHzzhS8yVmLhYPVC9tU2c6h6AWHj3KX1ljoXIO1NDF0/iUylcBuMjJeYSeZSGQOm7Czwl3/3p7zjfR8jYLKwyN/DJ17+Mf/lPR/iQ3tfwjMRojI4xniJmXnDA7iiYX7w1b/mf//KW6kfHeQdbYfRpVN0O9186k3vJqbTUzoR5jMvfY+qQLaS+bNPvp22qnqeOnecdx/bhz6d5oC3nD9welCsNlAUrAuWQAikFCSnNF+TUqo2BPUoeOzo54B8Rk5P+BrxRBiXra7QJs2YMm0tIfck3dd2U1Hdik5vLrRJ98Q6YcBatoX+iQtMjHbjaViDUHnozJpxYmnYzjdH+vngtdOUTNPgJKbR8vySTVx0V7K5q4NNXe288dJxUkLhTFkd+3KZPFdc5Y88fVMoGnzVa4gaovy07TDPDft58e//jEP18/lZ83KO36PSdtFAL+/5zd8lrtNTERjj77/7Vd76W78PwBW3j++vWA/Ah3e/yNvajvCtNZv5g1/+kGM1jXz47e9HyWQwJeI0jAzyZHsb73nvh0lpNHz8p89T03udUwPZDlbJ4Bg6uwshBPrQK/F7IQRSSoL79z66D0lFPHb0c4QQghrZyGBmCP/IGcrdSwtt0oyxxUqwOFrp8rdhsVUWRSgHsno5Yfck/o7dOKoWYbLPbun8bCOE4Ecr38Ebh/qomBi5ydnns26+suZXmdQZeGn+KpRMhiWDXWzs7mBzVwcfOfxTPnL4p/gtDg7UNLOvroWjlU3EHmGWjiluguYdvKWphcXH9rItneILP/omX9j+63d93a55i4jrpi90mjfs5yN7foY1PokpkeBAQzajqrXzMp96KrsumVEUJowlvOnccRYN9PLdf/obAAypJLGWFUw8818ZP76fiSsdaErMaG0OTFV16EOQikYY7zpNtKMdmUzO4qehXh47+jnGl/AStEzS5T9Ita+1aBZpFUVDvW0VA+lu+nuOUF61pihCOdZoCRbfFvzBDiaGO1U/up/UGfitJz/Ku9t38fTl/Tjjk4wbTHxvyabb8ugzisLp8npOl9fzf1t/Dc9EgE3dF9jU1c6vXTrB29sPEddoOV7RyP7aFvbXNtNrdz8Suy26Mjo3vJMvBK9wJp3i3WePk1YUlFz6tiF1s0OdvIOTB/iz/3ie//ft7+Oir5K3nDnKmq6rdzxWSPj3Jav5m+1vvHk74FqzBciO6mND2Q5m46cOMbLv5zjXbKZs65sQ9V6ufur3HuQtFxWPHX0BsE+UoHcvo9O/jyrv2qKQTchTpqkh7PHRfW03ZZWrMRinSV5WGUIIKswthDzRohjdT+oMfHXZk3x12ZPZjlYjZ0jHIriEuGunoGGLgx+2rOOHLevQpVOs7L/Gpu5siOeT+3/IJ/f/kOsOLwdqm9lX28zJ8gZSs7BgXTs+hBSCbocHl72JdfqLdCsRtEKhuesqB1qW8/oLM89uMSfiDFtsaNNp3njuJIPWbHD9cN08njl5gG+u3YqSyVCSTHC4bh5/+/2v8y9rtzJmtmKfjGBOxOm3v1L4p7O70NldyEyaTCKO0GhJDA+SKqvGHPI+9PsvBh47+gJRMp6mUbuMzpE2Su2NWEy+Qps0Y6yTBizOdXQNncFochVNgZUtasLq24I/dIGJ4U7cDWtUP6MSQlDmWUbEGGP0/GEMDg+22ns3DklqtBypns+R6vl8fuObqQ4Os6mrg41dHbzz7H7ec3oPEZ2Bw1XzOZCL7Q+b7fc873SYknE+ue+HWBOTpIRCj93N/9r2bmpH+vifv/gWI3te5HzTzHs3fGnLkzz/z1+k3+7ksqccU64z1p+//mn+5Gff5W2nj5ARCn/y5Ns5XVXHF7e+ga9++x8QUpLSaPjTX33rTY4+j1A0lLZuo7R1G8Fzxxna9R9Y+4snhPowPK6MVQF9mi40ir6oKmnzDDNAONhHRU2r6jXupxI2TzJ89Rj28gWYXZWFNmfGBJL9hHou4mhYgsH+YMJuxmSc1t7LbOrqYFNXB2WRbKvJDndlTpqhhXPeGjLTVJE+CBHdBKHzJ9HaHFgXLFZVyC+TTHDxc59STWXso+Kxo1cJoyVBwlE/Vd7iSGOcSsSSwd9zBLd3ESZLcU2F/bFLxCfG8Da1oqhc1C2PlJKh0bMko2FcC9egeZjFVilpGvPnsng6WDrQiVZmGDeaOVi9gP21zRysWUjIOH22lSU+yZ/s/Daf2fEsE4a714mEM8OEL53DWF6tKv37jj9TjwTCo2LOh2BCiGrgG0AZ2b7MX5FSfjGnsfwUkACuAu+TUgaEEHVAB3Axd4rDUsrn5truR03ppB2j0871/n1FVVwFYJ5QaHSsoy98iXCoryhkj/OUG+cz4UkyeOkAltJarN76Qpt0T4QQ+NxLiZbEGes4is5sx97wgNIEQnCltIIrpRX808onsMairO+5yOauDjZ2d/Drl0+SFoIzvrobQmyXSitupG9u7TzPjuvneLnzPC8uuLv/sioerAu33xBMM9cvwOgrntlUMTPnI3ohRDlQLqU8KYSwAieAt5CV2dyZKwH+SwAp5Sdzjv4/pJSLZ3oNm8ErN1a+d/aNnwMyMsX1TAdue1NRxe3zBPQTjAycpbx6bVHk3E9lKNVJZKwPT1MrWp2x0ObMmKAcJnj9HNaq+Zg8s6eaqmQytAz3sLmrnU1dHbQMZ3PTB832rNOvaeY9p/ewyn+No5VN/Pab/9uMzy2lZGz8EvFhP9YFSwqqkDkbI3qbpVKuW/zb9zzul0c+89oM3Qgh/h34WynlL6dsexp4u5Ty3Q/i6I1aq2wtfwaT7sEWl9RAn6YLRejwuhYW2pT7JpNJ0xU5g8nkxum+r0rtgpNOJ+kZP4HB7MJZpf7m71MZDl4kNjaAc/4qdKbZbxPpjoTY0H2Bz+z6DkpOOVeSTWVMC4Em50sSiobW5z43o3NKmWFk8CypUBBby4pZ6xp1P7wWHH1Bg8E5J74COHLLrvcDP5vyvF4IcUoIsUcIsfkO5/qgEOK4EOK4yEhGJjsJxu+ow696KtO1GPRWugcOkcnMTDdELSiKhnrrChSNjt7OfaTTxVOUotHoqHOvQ2920H/+ZRLRYKFNmjEe+wIqazYS6upgtP0wmfSM9NFnzIjZxo+b17L1A/+LP9r+DFecZaRz60kJRUtbWR1/+MRv8MT7Pjvjcwqh4Clbhq9xAxPXLzB2fD/p2N0lIB5z/xQsTUIIYQFeAD46VWJTCPGHZEX0v5Xb5AdqpJSjQohVwI+EEItuleXMdWn5CoBd45bViSoGlBES6Uk8pro5eEezjytqpaR0KZ3+/VR6VmLQq7+Z91Q8lGGuKqO/+yAOVxNWe/HEY0szXlw+N70DpwGBu27ltFrmakPRaKmoWENEH2Hk3AEM9mw65myumUwYSvhJ81oyisKn976ANhknowi+t2jDPeP0d7PbV72GdDLOcMdJAOyLV6HcpbDqMTOnIN9cIYSOrJP/lpTyB1O2/z/AG4F3y1xMSUoZl1KO5v4+QXahdkaJ22UxN4oQ9E90zPZbmDNKxtM0aZcxNN7BeLir0ObcN6YwNDpaScRD9HcfRhbR7EQIhWr7CmxlTfg7dhMZ6y20STPGnDBTXbcFvc3FUNsuJkf6Zv0ab+44gjGVIK7RYkwlefOFh1eB1OgMlNWvx9a8nMDpowTOHEPO8szktcicO/pcR5SvAR1Syi9M2f4k8EngTVLK6JTtnlxndIQQDWTlOa/N9HquiAWr3k1n8CSFXo94UIRQqBMLyaST9A2dKMr3Ua6rx+1bRM/1vUQnhgttzn1hn7TQULaFZGyCgQt7SSVjhTZpxjg0PmoatpOMTjDUtptkZPZCUUmNlu+3bOC9b/sI32/ZQGoWi89MsRLKmzZhaVzI+MmDBM+fKqpBgtooRNbNJmAf2V6HedWmPwC+BBiA0dy2w1LK54QQbwM+SzackwY+I6X8yd2uYde45XrzUzdtizsM9E2co862Co1SHPnS0zFhT+MfOVN0KZh5pJT0xS+RSSfxVa4supqBdCpBT+AEepMTZ9WiokkjBZCZNANDbWSSCZwLVj1c/v0cM6EECF84jdbqyHa5ukcYLRWdQGuaWdOc18Ji7JzH6KWU+5m+Ae6L02xDSvkC2TDPQ2EIxKl1raIzdIJKy2KMWvV3TpoOS1BDo3YpncNtOKw12C3FE/eGbA54lXEBIWOMnmt78JQvpcRUHBr9ABqtnjr3esa0I/jbd+GqXoLR9mAVqnONUDSUl63K5t9fOIbWUIKjaUVRrD1YMg4s87cSZoyx4/vQ211Y5i+adqAgpWRo10+Jdl3BuWI9rnXbim5AMdu8pt69ZixEfbKRgcglQvGhQpvzwGT17ReRSE7QP9xWlKEcW8xIo3MdoUA3g/0nkXdon6dWXCk39b7NRAL9DF46QCZVPJlFpkkDVTUbMZc3MHxmL6HuC0XzHbLiomL+VgyeMoJnjk1/kMzg3fprWBcsIdJ5+TXv5OE15ughG++uTdYSSY4xHL1eaHMeirJkOQ5rDZ39+0imii8lTQhBdUkzdkcdPdf2EIuOFdqk+0IIQaV5EaV1Kxm6cohAX0fROEwAa8ZBdf1WdCYrw227iA71FNqkGWNVPPhqW6fdJxQNGpOZxNgw9qVrAZC3NHLJJBOP3MYHRQjxpBDiohDiihDiU9Ps/4QQoi33OCeESAshbldxm8JrztHnKYt50Cg6esNni+rHeSvWkJYG7WL6h9sIhIvnhzoVW9xEo7OVYKCLwb7iG91bwjrqPBvQm+z423cRCxXXYrNDV0F1w3bSiUmGTu0iHhy994tUgiGQfdxKbKCHZHAcW8tygJsbgyfijB7aybV//Bzhi2fnytQZkUs8+TvgDUAL8KwQ4qbKPSnl56SUy6WUy4FPA3uklHcdJb1mHT2Ac6IEp7GK68GjpDPFm8KlCC0NmkWk0jF6h04UnaOEXCpjSTN2Vz091/YwGRkptEn3jSvjpd63mWjAz8DF/aST8UKbdF+4rfOoqt/C5Egvw6f3koyGC23SjMk7/PygLdTehrm2Kdsy8Na2jEJga1mBzuEifPl8Aay9K2uBK1LKa1LKBPA88Oa7HP8s8O17nfQ17egBTMEM1bbldIaOE0tNFNqch8KX8OG2N3G9fx/xRPH8SKdii5XQ6FxHONSHv/dY0d208k1OPA2rGb52jLHuM0U1YxRCwedeSkX1esLdFxg5d4B0onjSSY1BgX40TaTrCvYlueSWW1I/FJ0eodVh9FZgqmmYeyPvTiUwdWrem9t2G0IIE/AkM0hWKR4B8UeIdmyCetlIT/QyDkM5doN6uw/dC3NQ0KRdRvf4BUqMLkrtjYU26b7JZ+aESxL0XN+Ly7MAi7W80GbdF+aQFrN7HQHdOP72XdjL52N2zZ7g2KNG0WgpL19NOhln4NJJhEaLc94KFK16U5OTkRAjZ/cjtFoMJQ7sxiqyc6pXPL2UEiEEsf5uMok4Rm/FrFxbJNNohkL3PhDcQojjU55/JVfVf+NU07zmTiOFp4AD9wrbwOMR/Q2EUKhJ1DCZCjMQuVxocx4KIRRqxQI0ii6nlVOcYSnrpJ4m5zpik+P0dR8iU0SaOXkcSWe22Coewd+xh2SsuGZaGp2Byur12OsXMdpxmPHLJ1VbuKTo9Egko+1HmOi7QmSgE/1oGmPwFd8phCCTTBAfGUBrsaF3z/mgbkRKuXrK4yu37O8Fqqc8rwL673CuZ5hB2AYej+hvwzfpImRN0Rk8SY1tOUoRp2aVTjowuz10DRzC41iAxVRcTUHyVOgaiDgz9HUfwuaoxu5Uv2b8rZTpG8m46+jrO42UEnf9KpRZ6Nc6V5jjJsw1mwhrggyf3Y/e4sTeoK5uURq9kYp1v07Ful8n2HmeRHiceGAYRafHVpfNuU+4FBJjw6QnoxjLqlC0qvsfHAPmCSHqgT6yzvw3bj1ICGEHtgIz6rCknv+SirCFtZRbFnA9cJREuvjSFqdiHEvSqFlKZHKY/uHTRRUvnkq2uclapISe63tJJqP3fpHKUBQN1Y6VOKsWMXj5IOO97UX3/7Cm7VTXbaHEXcHw6b2EutT5Hux1i3DOW4GjaRl6qwtFoyWdjBPef5DY+QtobXbMDepr3SmlTAG/C/ycbMOl70opzwshnhNCTG249DTwCyllZCbnVd3tTC3ox2PUyUZ6JtpxGauxGYpzNAy5BcJ0NWFbis7+fVR4VhSdEmYeryin1Oamx38avcFKqbe4ZAgArBEjVs8GxjQjufh9cfWtBbBRiq1+K8H0IMOn91BSWoGlap7q/heKVo/Jm42EyFSS4PWzRId70eiN2G21lFSqp6VhHinli9yiFCCl/PItz/8Z+OeZnvPxiP4uKEKhNllHNBVgIHKp0OY8NNmc+6UMBy4yHCje96NRdNRZV1Bi9tBzfTeT0eLJ+56KK+3Oxe8n8HfsLirt+zx2jY/q+q1oSswMt+1mou9KoU26IzqzjcanfpuW3/wflDa3ElaxrbPNY0c/A3yTpZi0djqDxakcORVFKNQyH4POQqf/AKlU8aTO3YozaafRsY5wsJf+niNFu+hcpm+kzr2e0OAVBi8dLLr8ewCnroLqhm0oWj1DbbuZ8M9YYHbO0egM+Fa9jvK1TxbalDnjsaOfIdawlmrrUtVNTR8UZ8RCnVhI/8gpxkPFp3OfJ5+K6fEtpq/rIIEx9TqYuyEUDVW2ZbjrVzJy/Tgj19Wb3XI3nMZqquu3IoTC0KldRPzFLTPyauGxo78PlLEQcmT6MIGUGYaiV7kyfqhoFnA1io56ZRGSDN0Dh0hnii99MY85oqHRsRYhFHqu7yERL640xjzmkJba0lZsvkYGLu4vOv2cPK6SWqobtoEQDLXtfuzwC8xjR/8A3Orsk+kYZ4dfoi/cTiId4fjA95lIFI9AlydWSrl7BT0DRwhOzH4nornEQxn1ttWMDV9goK845SAAbJNm6r0b0Zsd+Dt2MzHSXWiTHghXSS3V9VtvOHw1h3RezTx29A9I3tlnZIr+iXYQgmXeN9Difh0lWhvR1HiBLbw/jGMJGrVLSaai9AwUb7wbsmmMNeYlOEvn0du5j+B4Z6FNemBcaQ8Nvs1k0kn87buYLDLBtDx5hy8UDUNtuwn3XSnKmUqx8tjRPwRyZJTA0GXCiREqLYtQhJZoMohG6DBqijN90ZfwUeZeQvfAYUKROxXkFQfWST2NjlakzBR1OAfAq62lzruJyeAg/o49JCbvXG4fC48yfPWoKqtwXcaabJaOzsDw6T2Eey7e0+EXk5qmWnmcR/+QjKcG0MoMpZ4aACLJMbSKAZnrkpjX1sj+nVFVJeGdMI6laNQuZTA5SM/gUSo9K1GU4v2qeEUFbpuP3uEOQOKtWIkyi/1N5wohBBWmhWSMaYYDXehLbLcdM957jv7zu9CbHfS376Zu9Zuxl6uvMMhpqMJZX0Ug6Wf49B6MrjJsNQtvO05m0vQf+gmRgU68y7fhXb5t7o19FVC8v16V0Je8wpKSzciRUSI2CMb96DTGG8JoQggyMk1X6BSR5Djh+BBNzo14THWFNXwG+BI+YqWVdA8cxmmrw24pHlGuW8mGcxYzYUrS13UAi60CZ6n6imVmgqJo8OkbYDRFrPSVn3BsYpTRrja889bjaViNv2MPQf8lVTr6PA5dOY76ciKG6SudpZTUbH8XfQd+RDw4kttWHAMmNfHY0T8EGZnBpS0jJZNImaF76BgChWrvmhvHRJNB+ibOMZkKMd+5iVBimEvje0nLJGXmeQW0fmbkR/dDqSG6Bw5T6S3u5uqWqA6LYy0jyjDd13bjKVtSVD1rb8WYc/ZSSkIDl9HojLjrVgLZQYbWYAJudo6x8AiZdAqTQz0qrea4CeKSuP3m9GVFoyWdThEPDFOx8WZZ9vxsOZNOFV43KJW6Y0aeGpjzT0cIUQ18AygDMmRlOr+Ya4X1HaAO6ATeKaUcz73m08AHgDTwYSnlz+fa7ulQhIJXW0177CAmxYpFcVKnb8EYAtzZYwajl4ilJrDoSjFqrRi1VpyGCrSKvqC23y/ehJe4u4rewWPYzJU4bbWFNumhcGc8lDpK6Q9dYWz4Ir7KVWi1hkKb9UAYR1OkUjEmg4OYS6sRikIyHkHKDJlcLn7eyQ9c3M/ESDex8DBCCOpb36kqh28IZuP1Ux3+RH82U8fsy37n8u9FCEEqPslw2y7CvVcw2MlzpZ4AABDJSURBVN1UbHgKnak418ceJYWY/6SAj0spm4F1wIdyrbI+BbwspZwHvJx7Tm7fM8AisiL7/zfXbksVeLTVbLG8nWbjehYa15KQ2apGOTJKKD5EINZPIh0lkZnkYN83CSdG0GmMRTn1NIwlaNAsBqDLf/COmTlSShJFIDomhEKlYT7V5kUM9p9kyN9WtOmYAoWI//9v79yD4yqvA/47+15Jq/fqYdmS/AIDRsjENgSSwgABwzSlNAmUdmhahqFpoEP+SKedTtsQhswwfdBkpg8CKRnaKQ20kwQyTXk1DcFMePptsIxsCSPbemtXu9JKu9o9/ePelVaKnrbseyV/vxnN3nv37qezZ6Wz33e+8+ggGmgGrFn7eHKQ4oqpGjojg13Eu49Ss/lqtu56iJpNV5Ps73RG4AUIxpVAzPos4sf3U9pkddPTXG5y8zYzmqB3789IJ+M03/J7eHx+kidXdonxc8V5tzaqelpV99jHCawKbQ1Y7bKesW97BvhN+/h24AeqOq6qHUA7VrstV1HsKSWnOYZzA/ROWA1iNBYjmPGxpeo6tlReR1W4idjYyo5kAageq6BJtjDX9+1HJ17hw44X2b3v2/TH3F9PxOcNsj6yjdLyJro632Ak2TPnvZnMKEMD7a4LPx0fiyEihIuqCA1MMHrsQzxeP5HaqcYzmbEkPn+YcFktYBX8ip064pTICyIi+PrHSHV3UVPXmr9Ivg9H7Nh+dCJD7ZU3EigpJ7J2M4Nt78094AWMo44tEWkGtgFvA7WqehqsLwMRyZeLbADeKnjZrK21ROR+4H6AkBSfO6HnwSMe1vo3k1NruTyuKSY0Q1FcoRpSE3FK/CvXH1yI1+ODvgTZmqnIj5xm6e4/wFDiY3Zcei9DiRN09bxLeWQdPq/73SKlY2FKy69ivHh2t1pqdIAjB57H5w/RdvA/2XzZHVRFfzVSxAlCRVWEi6Lse/sJwkVVZLPjrL/oNsLDPlKVln8+UrOB3va3SfQep6zuIk4efIWazdcA06PD3MD4yBA9bbsBCJdGCZVUQVyt1WK5NT9NnmynYlMrgdJKABIn2ymuawbMhu1MHDP0IlKC1evwa6o6PM8f2aJaa9mdWp4EKPNWO5qJ4bFnumEpZiQX5/j4AdJdY0jAQ0lgdRj6PPn2admaUpKjvcQSJ9jQcB0ejw+/L0xmYhSPrKw9/2AsDUC6IjR5LZMeoatzN2UVzWy4+FZ6T++nv/ugawy9x+NlS8ud9JzaSy6bJlrfSno8wUQmRXgwjOYyjEeDVDdvY6BzL/0d76O5HKX2jN9NRh7AGwjj8QUY6NxDejRO7NQRItH1eP1BgnElFe/B4/URrKzD4/WRm8iQSQxRscma+RsjPx1H/gNFxI9l5P9dVX9oX+4RkXp7Nl8P9NrXl9Jay1WUeCtoDd9AZ/oQfgmyjvUUJ/zg/sntkvH0xIjrCbzeANEKK5xvPD1MpLie9MQIoYA1809nRvn49JuEgmWsq3WdB24agSGrsme6IkRs8Bi5bJqmjTcCkJ0Yx+cPA9Nnj7lc1tEY/do12yaP40MdxAePU7d2B5nMKKEBL2uKL6Xysy0cf+s5KtZdTihS7Zis8+Hzh1jbcgtrW24h0dvBRHqUwU8OAFDV1IrH68eTEQLDOaiEeMchxOcnWFHrsOTuxImoGwH+BfhQVR8veOpF4MvAY/bjCwXXnxWRx4E1wGbgnfMn8dkR8hSxJbRzcmmsqtA/gFRX0ZU4SHW4mZBv5UcJiHgY6m2nviRv5BOMpPrwevyTRh4g4C+irrqFjpOv0z1wiGjFxTTXX+uU2IvCO5AgOXyaopJaAsESstk0iiIe3zTDPhw7QX/vB8QG2imrWE/jhuvxB5xxIwLTVhvxoQ6OH32J2jXb8HYESA/20XDdzXi87g+VjdRMtY4cG+7D4/UTKK4gOzFGejRG6WCU/j2vU3XFtSbiZg6cWN9cC9wD3CAi++yf27AM/OdE5CPgc/Y5qnoYeB74AHgJeEBVV1z91vzSeDJLtn+ANWN19Kc66Rlx/4blQqSzoyQzfdQVX4S3d5jhk0dJjceoKrNcA/loFlUlUlRLy+Y7WVe7k49OvEr3wEEnRV8QEQ/DfceI+q2FZWp0gNRIH0VF1ZNGPptN03NqDyLCRVu/gGqWEx2vu2bTNlrXwiVX3M1EJoXH42dLy12UjUUI9k9VLM2MJdCcu6OOQqXRyaib6PrtnNj7E4787Ekq122lvn77ZHgmwEQqSWZk7lIRFxLnfUavqruZ3e8OcOMcr/kW8K1zJpRDiHhoGF9DIpLleOwd1kVa8HtDC7/Qhfg8QcqDa2gb/AWRQJSTiUM0RC6jorQZKPSZKiD0Dh0hnvyEprpPU1d1uVNiL4qx8TjZbJrS4noYGiPZfQQlR0X1RYD1Jeb1BgiFKwAoidRTt3YHh/c8w8aLb3NS9GmUlq2jtGzKC5pfZYYGrC+j8WCG7s7dBMJlVK7biri0TER+slTZ2EJlYwuZVAJ/2JrJqypBu1GXPxukd+AQmdFhIg2bCFevrHaNy8nK2iVbpUQSXoq1ma7kB5QEqqkKNzot0pLxiJfNFddydGg3mVSKjRWfpjK0Fgo2a8Ey+KnxGG2dP2VDw3XUVNrx0S6L+igkFCijpKiWvW3PUhyuIjnax6Z1NxBJBUiHrPcUH+ogOXyK+NDH9JzaS3FJLbVrrAxVt0aAzNR32XgpZdFriIcS9Bx9E1+wmMrGK5zPOl2AvJGH6e/J4/VRV9OKqjKQPEbv/tcJlUeJNG5x5eeRR0R2Ad8BvMD3VPWxGc9fj+Xazhf5/6GqPjLfmO7+BC8gPOKlMdNELDhGZ/x91kZa8K2wUgMhX4SW6K3kNIdHPJwY3k/YF6E6vB7piaG15fQOHqE/fpRoxRYaaj41+Vq3GnmwIlou3fAbVvlmzXLZhtsnDUVgaIyegcP0pI5R17CdS664m/YPf0JpeSM19VcAKy8CpGwsQln0GoaLRultfwuvL0BlUyte38rK5s4jIlRHNkFkE/FcH/0HduMNhinb2ILX767ICDsZ9B+x3NddwLsi8qKqfjDj1jdU9dcXO64x9C6jPBmiRBvoShygvmQLQa9zm3lnisc2bGtKLiU1YSXyoDB28hPauv+bjY03UV1u1flx62x3Jh7x0lR/zeT56f4DZHNp1tZsJ5WOEc6FiXrWMAH4A8X09xyaNPQrldLRIkqrryZZkqb/+HsEI1WUu7hA2mIo80Qpa44yEhwl9tEePH7XuUp3Au2qehxARH6AlTQ609AvCVmNxf9FpA84m0ao1UD/MolzrjAynj1ulw+MjMvBQvI1qWr0bH6BiLzEZIWreQkBYwXnT9o5QPlxvgjsUtX77PN7gKtU9cGCe67HCk/vwgo1/7odtDInq3JGvwwf2nuqun255DkXGBnPHrfLB0bG5eB8yKequ5ZpqMUkiO7B+nJK2hGLP8YKO58T96+ZDQaD4cJhwQRRVR1W1aR9/FPALyLzriaMoTcYDAb38C6wWUTWi0gAq3Lvi4U3iEidnXiKiOzEsuPzFsNfla6bZeDJhW9xHCPj2eN2+cDIuBy4Xb5JVHVCRB4EXsYKr3xaVQ+LyFfs558Avgj8kYhMACngt3WBzdZVuRlrMBgMhimM68ZgMBhWOcbQGwwGwyrHGPoZiMguEWkTkXYR+TOn5ZkNEekUkYN2QTjHW+qIyNMi0isihwquVYrIqyLykf1Y4UIZHxaRkzOK6zkl3zoR+T8R+VBEDovIQ/Z11+hxHhndpMeQiLwjIvttGb9pX3eNHp3A+OgLsNOPj1KQfgzcPUv6saOISCewXVVdkaQiIr8GJIF/VdWt9rW/BgZV9TH7C7NCVf/UZTI+DCRV9W+dkiuP3YOhXlX3iEgEeB+rnebv4xI9ziPjnbhHjwIU2zHmfmA38BDwW7hEj05gZvTTmUw/VtU0kE8/NsyDqv4CGJxxea4ewI4wh4yu4Qx6KZ935pHRNahF0j712z+Ki/ToBMbQT6cB+KTgfNb+tC5AgVdE5H27V64bmdYDGKhZ4H6neFBEDtiuHVcs52WeXsq4RI8zZAQX6VFEvCKyD6tL3auq6lo9ni+MoZ/OovrTuoBrVfVK4FbgAdstYVg6/wxsBFqB08DfOSvOr/ZSdlqe2ZhFRlfpUVWzqtqKlVW6U0S2OimPGzCGfjoroj+tqp6yH3uBH2G5nNxGj+3Tzft2exe4/7yjqj22UcgBT+GwHmWeXsr2847rcTYZ3abHPKoaA34O7MJlejzfGEM/nQXTj51GRIrtjTBEpBi4GTg0/6scId8DGKb3AHYN+X98mztwUI/2JuJ8vZTBYT3OJaPL9BgVkXL7OAzcBBzBRXp0AhN1MwM7NOzbTKUfu6qFoYhswJrFg1XC4lmnZRSR/wCuxyrT2gN8A6ui3vNAI3AC+JKqOrYZOoeM12O5GxToBP4w78d1QL7PAG8AB4F849Y/x/KBu0KP88h4N+7RYwvWZqsXayL7vKo+IiJVuESPTmAMvcFgMKxyjOvGYDAYVjnG0BsMBsMqxxh6g8FgWOUYQ28wGAyrHGPoDQaDYZVjDL3hjBGRqoKKhd0zKhgGnJZvNkTkXhGpO0djbxKRVGFFURH5XRHZIyJ/XHCtVESeEpFjdoXFn4vIDhGJ2LpL52PBDYblwBh6wxmjqgOq2mqnmz8B/H3+3C4K5wh2FdK5uBdYkqEXkaW03GxT1e0F518CdgCftRN4AJ4GuoFNqnoZcB9QraoJW5cXVNam4dxjDL3hnCAiX7brgu8TkX8SEY+I+EQkJiJ/Y89yXxaRq0TkdRE5nq9jLiL3iciP7OfbROQvFjnuoyLyDlZ9k2+KyLsickhEnhCLu7ASe57LrzpEpKsgk/JqEXnNPn5URL4rIq8C37d/x+P27z4gIvctVhX2o1rDysW2DN/I9/lU1XZV/Z9lULvBMCvG0BuWHbuI1B3ANfYM1YdVTgKgDHjFLsqWBh4GbsSa+T5SMMxO+zVXAr8jIq2LGHePqu5U1V8C31HVHcDl9nO7VPU5YB9w1yJXHduAz6vqPcD9QK+q7sSaoT8gIo2LUMcLWHXbf6mqo8BlwF67LozBcF5YypLUYFgsN2EZw/es8iiEmSr/nFLVV+3jg0Bcrc73B4HmgjFeVtUhABH5MfAZrL/XucZNM1UaAuBGEfkTIIRV9uB9YKmz5hdUdcw+vhm4REQKv1g2Y6XTz4mqPo3lqjEYHMMYesO5QLDqBP3ltIuWr7twFp0DxguOC/8eZ9bm0AXGTeVdISJSBPwDcKWqnhSRR7EM/mxMMLWynXnPyIz39FVV/d85xlksh4FWEfGYWb3hfGFcN4ZzwWvAnSJSDZPROYtxcxRys4iU20b7duDNJYwbxvri6LcrfX6h4LkEECk47wQ+ZR8X3jeTl4Gv5jdmReTigs3VRaOqbVgrmb+yq0Hmx/r8UscyGBaLmdEblh1VPShWU+bXRMQDZICvsLTa/ruBZ7EaWvybqu4DWMy4qjogIs9glcv9mKkuSADfB74nIimsfYCHgadEpBt4Zx55votV+XCfbZ97OfM2k38APA6023L0AV8/w7EMhgUx1SsNrsOOaNmqql9zWpalICKbgP+yN4rPZpwurPcfWx7JDBc6xnVjMCwfE0BVYcLUUsgnTGHtBxj/vWHZMDN6g8FgWOWYGb3BYDCscoyhNxgMhlWOMfQGg8GwyjGG3mAwGFY5xtAbDAbDKuf/AYN/4p/5FemhAAAAAElFTkSuQmCC\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"mix = np.array([0.5, 0.5]) # fraction of each water mass\n",
"O2surf, Tsurf = 225., 25\n",
"O2deep, Tdeep = 245., 15.\n",
"\n",
"mixing_diagram(O2surf, Tsurf, O2deep, Tdeep, mix)"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"∆O2: 22.5 mmol/m^3\n",
"∆T: -5.0 °C\n",
"∆pO2: 0.02 atm\n",
"pO2 v T correlation: negative\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"mix = np.array([0.5, 0.5]) # fraction of each water mass\n",
"O2surf, Tsurf = 200., 25\n",
"O2deep, Tdeep = 245., 15.\n",
"\n",
"mixing_diagram(O2surf, Tsurf, O2deep, Tdeep, mix)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python [conda env:krill]",
"language": "python",
"name": "conda-env-krill-py"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.7.6"
}
},
"nbformat": 4,
"nbformat_minor": 4
}
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