{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Examples\n", "\n", "This notebook contains several examples that use the *deltares-coastal-structures-toolbox*. These examples revolve around the same basic coastal structure, defined below. To do so, first we need to import some Python packages." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import warnings\n", "\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "\n", "import deltares_coastal_structures_toolbox.functions.core_physics as core_physics\n", "import deltares_coastal_structures_toolbox.functions.hydraulic.wave_overtopping.eurotop2018 as wave_overtopping_eurotop2018\n", "import deltares_coastal_structures_toolbox.functions.hydraulic.wave_overtopping.taw2002 as wave_overtopping_taw2002\n", "import deltares_coastal_structures_toolbox.functions.structural.forces_crestwall.vangentvanderwerf2019 as vangentvanderwerf2019\n", "import deltares_coastal_structures_toolbox.functions.structural.stability_concrete_armour.accropode2_hudson1959 as accropode2_hudson1959\n", "import deltares_coastal_structures_toolbox.functions.structural.stability_concrete_armour.accropode_hudson1959 as accropode_hudson1959\n", "import deltares_coastal_structures_toolbox.functions.structural.stability_concrete_armour.core_loc_hudson1959 as core_loc_hudson1959\n", "import deltares_coastal_structures_toolbox.functions.structural.stability_concrete_armour.cubes_double_layer_hudson1959 as cubes_double_layer_hudson1959\n", "import deltares_coastal_structures_toolbox.functions.structural.stability_concrete_armour.cubes_single_layer_vangent2002 as cubes_single_layer_vangent2002\n", "import deltares_coastal_structures_toolbox.functions.structural.stability_concrete_armour.cubipod_hudson1959 as cubipod_hudson1959\n", "import deltares_coastal_structures_toolbox.functions.structural.stability_concrete_armour.tetrapod_hudson1959 as tetrapod_hudson1959\n", "import deltares_coastal_structures_toolbox.functions.structural.stability_concrete_armour.xbloc as xbloc\n", "import deltares_coastal_structures_toolbox.functions.structural.stability_concrete_armour.xblocplus as xblocplus\n", "import deltares_coastal_structures_toolbox.functions.structural.stability_rock_armour.etemadshahidi2020 as etemadshahidi2020\n", "import deltares_coastal_structures_toolbox.functions.structural.stability_rock_armour.scaravaglione2025 as scaravaglione2025\n", "import deltares_coastal_structures_toolbox.functions.structural.stability_rock_armour.vandermeer1988 as vandermeer1988\n", "import deltares_coastal_structures_toolbox.functions.structural.stability_rock_armour.vandermeer1988_modified as vandermeer1988_modified\n", "import deltares_coastal_structures_toolbox.functions.structural.stability_rock_armour.vandermeer2021 as vandermeer2021\n", "\n", "warnings.filterwarnings(\"ignore\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Example structure - Rubble-Mound Breakwater" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "cot_alpha = 2.5\n", "B_berm = 3.0\n", "db = 0.5\n", "Rc_var = np.linspace(2.0, 6.0, 1000)\n", "q_max = 10e-3" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Example wave load" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "Hm0 = 2.0\n", "Tmm10 = 5.0\n", "Tp = 1.1 * Tmm10\n", "beta = 30.0\n", "rho_water = 1025.0" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Wave overtopping\n", "\n", "Below two different wave overtopping formulas, TAW (2002) and EurOtop (2018), are applied to our structure. " ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Required freeboard for our structure 2.80 m following TAW (2002)\n", "Required freeboard for our structure 2.83 m following EurOtop (2018)\n" ] } ], "source": [ "Rc_taw2002, _ = wave_overtopping_taw2002.calculate_crest_freeboard_Rc(\n", " Hm0=Hm0,\n", " Tmm10=Tmm10,\n", " beta=beta,\n", " q=q_max,\n", " cot_alpha=cot_alpha,\n", " B_berm=B_berm,\n", " db=db,\n", ")\n", "Rc_eurotop2018, _ = wave_overtopping_eurotop2018.calculate_crest_freeboard_Rc(\n", " Hm0=Hm0,\n", " Tmm10=Tmm10,\n", " beta=beta,\n", " q=q_max,\n", " cot_alpha=cot_alpha,\n", " B_berm=B_berm,\n", " db=db,\n", ")\n", "\n", "print(f\"Required freeboard for our structure {Rc_taw2002:.2f} m following TAW (2002)\")\n", "print(\n", " f\"Required freeboard for our structure {Rc_eurotop2018:.2f} m following EurOtop (2018)\"\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Clearly there are small differences between the two formulas. To gain more insight into those differences, let's calculate the mean wave overtopping discharge for a range of different crest freeboard heights (Rc) and plot them." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "q_taw2002, _ = wave_overtopping_taw2002.calculate_overtopping_discharge_q(\n", " Hm0=Hm0,\n", " Tmm10=Tmm10,\n", " beta=beta,\n", " Rc=Rc_var,\n", " cot_alpha=cot_alpha,\n", " B_berm=B_berm,\n", " db=db,\n", ")\n", "q_eurotop2018, _ = wave_overtopping_eurotop2018.calculate_overtopping_discharge_q(\n", " Hm0=Hm0,\n", " Tmm10=Tmm10,\n", " beta=beta,\n", " Rc=Rc_var,\n", " cot_alpha=cot_alpha,\n", " B_berm=B_berm,\n", " db=db,\n", ")\n", "\n", "plt.figure(figsize=(10, 5))\n", "plt.plot(Rc_var, q_taw2002, label=\"TAW (2002)\")\n", "plt.plot(Rc_var, q_eurotop2018, label=\"EurOtop (2018)\")\n", "plt.plot(\n", " Rc_taw2002,\n", " q_max,\n", " label=\"Required freeboard TAW (2002)\",\n", " marker=\"o\",\n", " markersize=5,\n", " color=\"blue\",\n", ")\n", "plt.plot(\n", " Rc_eurotop2018,\n", " q_max,\n", " label=\"Required freeboard EurOtop (2018)\",\n", " marker=\"o\",\n", " markersize=5,\n", " color=\"orange\",\n", ")\n", "plt.yscale(\"log\")\n", "plt.xlabel(\"Freeboard Rc [m]\")\n", "plt.ylabel(\"Overtopping discharge q [m/s]\")\n", "plt.grid(visible=True, which=\"both\")\n", "plt.legend()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Stability - Rock Armour\n", "\n", "Below are different formulas to calculate the required stone diameter and mass if we decided to use rock armour on our structure." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Required Dn50 & M50 for rock armour 0.44 m & 221 kg following Van der Meer (1988)\n", "Required Dn50 & M50 for rock armour 0.47 m & 280 kg following Modified Van der Meer (Van Gent, 2003)\n", "Required Dn50 & M50 for rock armour 0.42 m & 191 kg following Etemad-Shahidi et al. (2020)\n", "Required Dn50 & M50 for rock armour 0.44 m & 222 kg following Van der Meer (2021)\n", "Required Dn50 & M50 for rock armour 0.22 m & 28 kg following Scaravaglione et al. (2025) for shallow water conditions\n" ] } ], "source": [ "S = 9.0\n", "rho_armour = 2650.0\n", "rho_core = 2650.0\n", "P = 0.4\n", "N_waves = 3000\n", "H2p = 1.4 * Hm0\n", "Tm = 0.915 * Tmm10\n", "M50_core = 40\n", "\n", "Dn50_vdm1988 = vandermeer1988.calculate_nominal_rock_diameter_Dn50(\n", " Hs=Hm0,\n", " H2p=H2p,\n", " Tm=Tm,\n", " N_waves=N_waves,\n", " cot_alpha=cot_alpha,\n", " P=P,\n", " rho_armour=rho_armour,\n", " S=S,\n", ")\n", "\n", "M50_vdm1988 = core_physics.calculate_M50_from_Dn50(Dn50_vdm1988, rho_rock=rho_armour)\n", "\n", "Dn50_vdm1988_mod = vandermeer1988_modified.calculate_nominal_rock_diameter_Dn50(\n", " Hs=Hm0,\n", " H2p=H2p,\n", " Tmm10=Tmm10,\n", " N_waves=N_waves,\n", " cot_alpha=cot_alpha,\n", " P=P,\n", " rho_armour=rho_armour,\n", " S=S,\n", ")\n", "\n", "M50_vdm1988_mod = core_physics.calculate_M50_from_Dn50(\n", " Dn50_vdm1988_mod, rho_rock=rho_armour\n", ")\n", "\n", "Dn50_es2020 = etemadshahidi2020.calculate_nominal_rock_diameter_Dn50(\n", " Hs=Hm0,\n", " Tmm10=Tmm10,\n", " N_waves=N_waves,\n", " cot_alpha=cot_alpha,\n", " rho_armour=rho_armour,\n", " S=S,\n", " M50_core=M50_core,\n", ")\n", "\n", "M50_es2020 = core_physics.calculate_M50_from_Dn50(Dn50_es2020, rho_rock=rho_armour)\n", "\n", "Dn50_vdm2021 = vandermeer2021.calculate_nominal_rock_diameter_Dn50(\n", " Hs=Hm0,\n", " Tmm10=Tmm10,\n", " N_waves=N_waves,\n", " cot_alpha=cot_alpha,\n", " P=P,\n", " rho_armour=rho_armour,\n", " S=S,\n", ")\n", "\n", "M50_vdm2021 = core_physics.calculate_M50_from_Dn50(Dn50_vdm2021, rho_rock=rho_armour)\n", "\n", "Dn50_svl2025 = scaravaglione2025.calculate_nominal_rock_diameter_Dn50(\n", " Hm0=Hm0,\n", " Tmm10=Tmm10,\n", " N_waves=N_waves,\n", " cot_alpha=cot_alpha,\n", " rho_armour=rho_armour,\n", " rho_core=rho_core,\n", " S=S,\n", " M50_core=M50_core,\n", ")\n", "\n", "M50_svl2025 = core_physics.calculate_M50_from_Dn50(Dn50_svl2025, rho_rock=rho_armour)\n", "\n", "print(\n", " f\"Required Dn50 & M50 for rock armour {Dn50_vdm1988:.2f} m & {M50_vdm1988:.0f} kg following Van der Meer (1988)\"\n", ")\n", "print(\n", " f\"Required Dn50 & M50 for rock armour {Dn50_vdm1988_mod:.2f} m & {M50_vdm1988_mod:.0f} kg following Modified Van der Meer (Van Gent, 2003)\"\n", ")\n", "print(\n", " f\"Required Dn50 & M50 for rock armour {Dn50_es2020:.2f} m & {M50_es2020:.0f} kg following Etemad-Shahidi et al. (2020)\"\n", ")\n", "print(\n", " f\"Required Dn50 & M50 for rock armour {Dn50_vdm2021:.2f} m & {M50_vdm2021:.0f} kg following Van der Meer (2021)\"\n", ")\n", "print(\n", " f\"Required Dn50 & M50 for rock armour {Dn50_svl2025:.2f} m & {M50_svl2025:.0f} kg following Scaravaglione et al. (2025) for shallow water conditions\"\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Below, the different behaviour of both formulas for different S values is shown." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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qo47Upe2uuPYuIoymsWua3bqMvnGgEQ0WK6TQmK1atUrkTDKdiiPCW+Lt7d30mO+lNdqXdXH5nGn3fMtu65SUFBGtNI3Eslu+ZYkxzu/dEZgGRrPJXE+aNnbHq6F0yzM6q8xWqBwzj5/Pc72puWa5nJbRJHNKojHC2ZleP5p2RoIXL14sDCmj1/yslNH7f/31lzCwNM5Krdy77rpLRFUvueQSETnn67kf1hwm/DtlyhQ88cQToh0obYbnak3X1d7+Ltkj1TrTRbcm1drgD1vANdeg+lgcilavFuuqjh5D2m23o+87b8NBBzUWe0sXiTpSG+vWJdLXTXTLd9e+O9sVxwE6NKqMoPIxc1AJo6Y0r8qgnq7mntHo8WJGs6fAnExTaI7ZtW866p/pHMxl7Sp33HGHMNqcIIJRQzXY/U7ee+89hIWFNa3PyckR3eJ8nsbt22+/bTKx1LjleZgDo6ubNm3q1Lkw0qxEmwlNvVKhQfmclKLtREkpUHKKleLrpvB/pgyYthneIKhFge0RvXVr64UGnemi2+5+a4MDB3gXHfrE43AfO7ZpfdmmTch45H+6++B7CjlSWxupjXXr4urkKPJGu2Phvrsy8paRQUYx3333XZH7STj6m1FqZWYm5qp2BZo6VhOgUVSiraaDmQifp4ndsGFD07olS5aIkfhdhd3f3A9LNmnpwtnFmAZgWrKKkclLL71UPOZALZponoMCI48cod9RGNmk5sqgK3P55ZdfmkW0mQPMLnnm0hLmlTJN4tNPP23ahlFVRryVMls8D+6H5pvwL/fD1BlTbTgzG49Tor9R7HrBRWe6SJNqITgtZNOI/9dfg3PjHTwp+vZb5L7WfECBvekiaY3URh2pS9cHldHocxAVB9Qo9TnZNc78Sw5cYhoAu+aZR8luc0bYlC55DoZijU7mOLIrnaZNq74qu5M5On/WrFkib1LJyeQ+aJI4yIn5kcwzpVnmwugf8zoJBysp78ER+G3BXFFuy+NUaojy2Nk9Tl14flyIsg2NNPNPExISRHf42WefLYy7UmGA2vD4mAfKY+PrODJeyYvl+a1du1YsWoPHFKgrB1wxD9QU7puv5bEr+zEtA8WILm8YTjnlFDFKn+kYjOwqnxs/J0bFWT2A58BtaLS5jq8ld999t+j6Z5oAz4PRc+Ym33fffU1thjcn3IetlCKzlwGa9q6L7qdF7Sw9OS0q4Y8KfwAVqhMTkbjgEpGbqhD25BPwbex6sxda6iI5jtRG37rocVpUjtSWkx3oVxeaTZpgGkjT7nk9aMMoNyPa3TmhgzWhlzZjD7qUNU6LyhtRlnTjzZbNTItqLUxoUW7KpV8/9H3rTTiYJCBnPLoYpX/9BXvWRXIcqY06Uhdt9GCU9YhedOGFmFHqltOi9rY2rJbDOqosBSbRV5vRG84600WaVAvBeoAtcR8zBhFLXjhemqquDqm334GKffthz7pIjEht1JG6aCNHZutfFw544uxOetKG1XIee+wxUWJLor82oyfqdaaLNKkWomUxZgWvOXMQ8tBDTf83lJcj5dprUaVRe9BedJFIbbSQumjT0UE59oLURRupjTpSF+vQRZpUC6E2HZ+C/6UL4X/1VU3/M081+aqrUWMHF+O2dLF3pDbqSF2spytOL0hdtJHaqCN1sQ5dpEm1EKZTz6kRfPfd8DnnnKb/azMzhVGt7UQ9PlvSxZ6R2qgjddHGRse5dhmpizZSG3WkLtahizSpFiIuLq7N5x0cHRH2xOPwOuX4TDrVSUlIvuZa1FmgsLW16mLPSG3UkbpYT3kYvSB10UZqo47UxTp0kSbVQnCO6/ZwcHJC+AsvoM+Jk5vWVR08iJQbb0R9RQXsVRd7RWqjjtRFG72UNdIbUhdtpDbqSF2sQxdpUi2EuXXFHF1d0ff11+E2+vh0ihXbtiP19ttR38VpCvWIrEOnjdRGHamLNp2ZG94ekLpoI7VRR+piHbpIk2ohOH+0uTh6eCDqnXfgOnBA07qyDX8h7Y470WBjRrUjutgbUht1pC7a1NTU9PYh6BKpizZSG3WkLtahizSpFiIiIqJD2xt8fdH3/Q/gHBnZtK507Vqk3X03GnTWSHpSF3tCaqOO1EUbg8Ggun7Lli1ius3AwEAxNabWxWfs2LFiGlNuW9GJFCNOO8p9mE4RyhnCOCWoKbt27cKcOXMwb948MTUrpwEdPHhwp8uLcYpWzlRzyy23qD6/ePFikSbSv39/3HXXXa2OecSIEeI4Dhw40Kn3t9RxdoWnn34akydPFp/xypUrVbdZt26deJ7b/d///V+bbaa7yMvLE9OxmsKpcG+66SZxbGocPXpUTNfKKV05pe8jjzzSLDeSgyk5lS7bGbfhFLKc3csUThXLmYz4/OzZs3H77bejxGS8x6OPPoqUlJSm/3taF2vBoDNdpEm1EJyjuqM4hwQj6qOP4BQe1rSu5LffkXbPvTZjVDuji70gtVFH6qIN56JXg6bku+++E/O906js3Lmz1TacqjM/P18YNm7bmcLuvPC3nPudRpTzzZtCQ8DZl77//ns8/PDDCA4OFka1szcgTz31FGbNmtXm89ddd50oRP7444+3Oubo6Gj88MMPwkB2J+0dZ1f473//K86FnzFnjlIbhf3222+Lv9zugQceaLPNdAe88bnwwguxYMGCpnWc7eqKK66Ap6en6mtoJM8991yhGz8jms/169fjiSeeaNrmxRdfxG+//Sae53LPPffgyiuvRGJioni+qKgIl156qbhB4/OcypgzbLHtKXAmsIULFwoT3dO6WBOOOtNFX0djxWzbtq1Tr3OJjED0xx/DKczEqK5Zg7T77kODzkbZ9aQu9oDURh2pS+e74saMGYNRo0aJi3rLAt00qaeeemq3RF78/PyarWPEivNxE0a1Bg4cqBlFs5QuNM/l5eXCGJuyZ88eET328PCALXDZZZfh0KFDwoiZwpuAQYMG9Wr3Lc3zkCFDRLRdwd/fH19++WWzdab8+uuvyM7OFkaW0Mxecskl+Oijj5rK0e3duxejR49uMrrTp09HdXW1+GxJfHy8mB9+2rRp4n8XFxdMmjQJ27dvb3of3qjMnTtXRN312K2tF2p0pos0qRaiKz/ALn37IvqjpXAKCWlaV/LzL0i//wE06Gz2h47SnRcma0dqY926NFRVoTY+vlsW7ruzUY67774bv/zyi4hgKXzzzTfiAu3q6tpqexqA8847T3STnn766Xj22WebXahoImbOnClezy5bRq1M0wzYBat8ZjQOTAXIysoS3ex8vGnTpqZUhL///rtZSsD8+fNFJJbdtB9++GGz4/rss8+E6eBxsfuY+9aCutCEnHjiiVixYkWz5z7//HMR2ePrGYE755xzxML3pbFTuPfee0WklRFZdi3zfNn1vHv37jb1bu84GSnk+1JbbnPjjTeisLBQPPfxxx+LKDgN3HvvvSeikDyPlufQcrILRqlb3oi8+eabuPnmm1UHwrz11lviBoWfAz9r07bBz5oRYO6TzzMiqaRl0Agrny/bEHWkEWYbaQkjuzSjLVM/QkJCVNudAt/Ly8tLGEvT19B0MhqqTDXLtpaRkSH+57FwgCVvyginfWW6hxLRZxtdu3atMKqm8NjYi8B96y1iqBccdaaLvmoNWDG8e+wKLtHRiPpoKZIvuxy1OTliXfGPP4q/4f/3DBx0NgtET+liy0htrFuXurQ05C+6rFv27f/pJ3CKielUeRiaK2pIE0PjQ/OwbNkyYXxa5grSTNIo0lDStDESyf+rqqrwv//9DwkJCbj88svxySefiDxAdpXyrxIlpcF68skncfbZZ4v/aTRoAmi62OWsdPtynenNR2ZmpjCKjLzx/ZizSAPBtAAauc2bN4vcUhoNmjJGypjjynNTQ9GF73fbbbeJbuB+/foJA8ZoGk0Yo3I0Mi+88ILYlufGc6EJZZT1+eefF93Vf/zxh+hu5rHwGJjbqWUazTlO6kA9f/zxRxF1vv/++4WZpLmlttSMNxZhYWHC5HG7tkwd4XvSdPJ92U3Oc+RnopYqw8+OaQBMA2FUk58FjSp7LJg6wM+PZp0RaKaAvP7666JbnNvz5oEGkp8vU0WoA193+PDhVu/Dz5QR9I6WkOvbt68wlTTzfC+imFHFzNM48zFvGmhgeSPAvNyoqCjxPA3r119/LaKx1JD7Y/vi524Kj40GlSZ93LhxHTpOe8FJlqCyTUzvyDuLa//+iPr4IxhMfsxpVNPuustqR/1bQhdbRWqjjtRFm7aiiaaRszvvvFOYEU6MwBw9DhqiIWkJUwC4ngaV8DENwQcffCDMLSNTNJc0cyQgIECYsK5CI0FDRINKmC5AQ0RDpRzXhAkTmqbIZXf9xIkT29WF58FzYPSUML+Rx05N+H40M9yGRpjmkcanpeHi+9KgkpEjRwrjqUV7x5mTkyM+h6uvvrppQAqNNI+Lpk6BppTHpEQN29OYBovmVImmvvbaa7j11ltVt2WE+vzzzxcGlTBaypsRRtv5GS9dulR85kqOMrva9+3b16yrnHAfij40sS1hlz1RjKa5MIJLg75kyRJxPNwPDTxRoqs02TxODo7ijQFvqni+SUlJ4nmaUrYlasfjZu8AjW7LaLNybLw5M+e7ZI9U60wXfVlmK8ZS+U6uMTGI/vgjJF1+Bepyc5sGU6XccgsiX30VjlZWQ9JW8sC6A6mNOlKXrtcwZOTrueeeExdzRrcU89cSPhcUFNRsHf9ntIlR0/T09FbpF4rZ6Qp8Xxol0yoBxcXF8PX1FY9pMFq+Lw1ye7owZ5EmlCaYEUuayGeeeUY8x8gbR43//vvvTdF6vgePwxQfH5+mxzS1bV202ztOZTQ5j4FRYyU/mNFDGiUl8qmcd0dg9JWmjNFyHrMS3W4Jj4FR0n///bfZZ0yDnpubK86fRpZd6Ao8PhpsU9o7Rp5XZ+ps8qaCN1KM6PJGhTcs119/vYgWMxpOXn31VWH0lYF3TK/gY5pQtnHeTNH088aD0HAzWq2kLyjaKF3ZPFa91QPVCw4600WaVAvBbi9L4Robi+hPP0HylVehtvFum3VUU66/AX3ffEPUWbVHXWwNqY1162KIiBDd8t21bzVM8/baghfjO+64Q0SbaGa0ols0Iz/99FOzdTQnvFGg2aIRaFnqh92+XYXvy2glo4wKLDmklAwKDw9vykdUoGnWylc21YUDqBhJpeliN7tiUP755x/R3asYVEtEjNo7Tp4nYbezaYSVGpqa4c7AfEulXBPzfrVglzhHvTO6rkCd2a1LE87PmikSSqRUiUx2tPqDYrhNyz6ZC4/x3XffbfqfaQWMYiv7ZNqGc4uUN37mTBNRnmek2jSfks8zMkszrrQB3ggpx2rud8necNGZLrK730Iwj8mSsOs/etmyZnVUy7duRfI116KuEz8CtqKLLSG1sW5dHFxdRd5odyzctxo0XeZC08ESPIxKacGBOqYj4vmYXa0s78OICnMXabrYNUz4uOWo8s7A92UUb8OGDU3r2N3LiJnSJc7cR3bbKvmj7ObVwlQXGjcOPuJgJVPjxQoDzFVV8h1bmvPO0N5xMmLJaN6nn34qymMRmloOolL+7wo0v4zQMs2grWoANOyKeeRfRpupBT9j5nHS1CsaMiLJdIOOmk0aP+aLKl3wHYHHw+g9YXc/B4HRfCsw/5bnUFpaKv4/duyY0JmVIwjzmRkd/eqrr8T/NKfUnDcJphUPeGw05rxR6ch3yZ6o0pkuDg1qxdZsAN45paam9tj7MdmdXS+WpiYrC8lXXInqhISmdW7Dh6Pve+/CyQLdbtaqiy0gtdG3LrxoclQ7TRkvgC0jOb11AVEbVMMi9ayLyVxCpQ5qS6655hoRceMAItNtOHDoscceE5FFRqR4wWf0VYmosHucNSvZLUsTwu5+FvBnGSCOVFfed8qUKXjjjTdENyvzAmkQOFqexpN5jnxvvi/rfdJ0cHQ/31epJMDnWONUeV8aJ+ZasvuXkTYOatq6datoGxzk1JYuHH3OPEbOXqbk4iqj+5nXyBxSRuq4H74vzR4HISkDpGjsuZ7F+dldzu5lpg6o0d5x0uxRP5ZLokFiO+J5Uxt2U/NY+R7jx48Xx8HjUoPvoeRq0hwrXdsKNMo8Xuo8YMCApm34ebOKgDIinm2Z56fkIVMX3iD8+eefTdFTVjqg2Wd+OPepfL7cn2IM1eBgOxpJ01xQ6nHRRRcJ80lzyf2ccMIJzUwoB5CxoD81pHFmDwBzVRWoIdMBGA1n5JfvwRsQ00kTeHNLvRlRZXtgpJ7lpkxN6ksvvSTaxPvvv6/5XbJ3qrpBF/6W8vPkbxDbPdM6zPVr0qRaCH5ptIoVd5Xa3FwkX3U1qky6lVz69UPUB+/DWeez83SnLtaO1EbfuujRpPLnWm85Y3pA6qIPbdidTnPOHFdGrvUEc4DZM8BoKwdqyTajTnfo0hWTKrv7rWBEslNgIKI/+RhuI0Y0ratOTETigktQebh5PpTekCO1tZHaqCN1sZ6Rt3pB6qIPbby9vbF8+fKmQWJ6gtFiDjKjQSWyzaijN12kSbUQyswY3YXB11fUUe1jMqikNjsbSZdeinIdz9DT3bpYM1IbdaQu2thox1eXkbroRxumeTDtQ2+w2gWL/ivINqOO3nSRJtVCsFuwuzF4eqLvu+/A6/TTm9bVl5SIVICS33+HvepirUht1JG6aCNz6NSRumgjtVFH6mIduujWpHKqtGuvvRb9+/cXIyRZCoWjJNsa4dmbcBBAT+Do4oKIJS/A75JLmtax0H/qbbej4MsvYa+6WCNSG3WkLtYzr7ZekLpoI7VRR+piHbro0qSyRAen1WMyLUfisW4fy0lwlClHTeoRZfq2nsDBYEDIIw8j6A6T0Z319cj836PIefU1XYXre1IXa0Nqo47URRtLlC2yRaQu2kht1JG6WIcuujOpNFicIWLGjBl49NFHm8qHcAo4lr9gCRQ90tMFyDn6LvCGGxD6xOOs3N20PvfNN5F+3/2o10nys7UUZu8NpDbqSF2sp9C2XpC6aCO1UUfqYh266M6kslYbp29jMemWcGo51n7TIyyM3Bv4XXABIl97tVnx7+LvvzfOVtU4G4c96mINSG3Ukbq0P/WkpDlSF22kNupIXaxDF92ZVKXANAsbWxOswdZbeM2eLUpUGUzmjK7Yvh2JF12MKpNJAOxNF70jtVFH6mI9FxC9IHXRRmqjjtTFOnTRnUnlrBzsymZeGucb5oAp1jU7++yzsXPnTuiV0aNH9+r7u48ejX5ffAGXAbFN62qSk5F48QKU/fOP3eqiZ6Q26khdtNHDhAJ6ROqijdRGHamLdejiBB1GUWhSTz75ZDHF2bJly8Rcwpx/mNO0rV+/Xkyp1hJOw2Y6FRtNLmeu4fa1tbViKrctW7aImQ+4n0OHDom5oydMmCD2z2oCnCqPNRrj4uIQGxsrppDjwC0aZc5LzDmaAwMDxby/LDjO6dmYP8fp2JKTk0WKAtdzHyyjw1HKPA5uwy5MnhsvwFzHOYQHDx4sjvXw4cNirmlfX18xRSHzbvv16yeOl+vGjBkjzoPHo2igek6JCci/9FIM+f571G3fIfZdX1SEpKuuQtY55yDooos6dE5OTk7iPLpyTunp6V07Jwt/TpY4py5/To3nxCkI+deWzskSnxOniuRUhr19Trwp5lz2fI6DCZRZp5g3z3XUnb9VHA3LqRgdHR3FY/7lcyyKzeeZ48WpBpXHXM99sNQLt+e+uZ77V95DeT/uh/D9+B5cr7wfF+6L78cpJe+//35x/JwSkxVR+B58jtNSch1rVyrnYvoevX1O3Den++TxcT+s4MJ1fE3L9+Bnw+sCU8L4+fG9AgICxBSZ8+fPF7ODsR4mp4llO+zMOXHaVu6H08NyGk21c+L0nJxalHpzHy3PidODcupYXsdef/118R7vvPOOeN0HH3ygqpvymOst+Tnx+8N1fPzDDz8I/agPf5s78jlxHadm5WxBnDVow4YNePfdd8X+OdMUp8vl9K/8rinnxOlMOQUsv0tcN27cODG9KffN/fE34K233hKfKxd+lpyGlb8Jyjlx4XS53JbwN4ZTqnL/PHZOK8vZjPi97kjbU1D7Pqm1ve7+nCz5farpwjkpx2TJc1JeS5/E9sG0TtPf8rbQ3bSovJjFx8fjuuuuE19qhYSEBPFDy/mieYJ6mxZ19erV4kdSDzTU1CDziSdR2KIkld9lixBy331waGzU9qaL3pDa6FsXPU6LSkNAc6YFTT+NhGnuPi8MNG40S0SZ71z5Xy+sWLFCHGdbPWb33HOPuBni3Ou8IPIiSgPDc+RUnOTvv/8WPW/crrOYo1FeXp4wVebugxdvfn6clamz8POl+Z02bVqn20xn9bnjjjuEebzhhhvE/7ypu/HGG8UNAqG5pAmmcecNOHnwwQfFTernn38ujMqFF14obiaffvppi+0jPz9fTHfKNkH/0FldJN2ni01Ni6qM5uddrCmsl8q5gPkFY2RAbyhRHD3g4OyM0McWI/jee1kGoGl9wSefIvmaa3t0QJWedNEbUhsr16W2Eoa8Q92ycN9qKFGTjsCo6k033QRbgOaFgQpFB0Zvbr755l6pCNGWQVWDkaWuGNTO0pk20xJGTf/66y9Ru1xh3rx5OPfcc5v+X7hwoehBYZSWMIr6ySefCGPCz4lRNz7++OOPxXOW2gcjuDyuu+66q8d1sUWcdKaLvo4GQFRUFPbt26f6A8AfW3bl8c6JXYYSbRhiD7j6Krj074f0e+9DfVmZWF++ZQsSL7gQkW+8DjdrMQMSiQ4xFCXCd7n5Ea2OUHjJ36gLGNLl/bArlKkLSuSN0ae1a9eKx5wchfn+7LFihOrtt98WqRaMojBqzG5ZTiO5Y8cOEc3avn276P5es2aNSNu44oorcMopp4g50TmWgFGx//u//2t676eeekp0b9NcsNuPETOaEgXulykKfD48PLzZlJVasKvwo48+EkaVKSHKdeGqq65qte0333yDL7/8UqRCMF2MJQyViCa79BmdI+yGfOCBB4ROpnA7njdTRoqKivDmm2+K9BL29PFcqAfPgdcswpQFdl0zpYTRIr5eKefDAcHUnjq0FSlmLyGjyTRjPC4a8LPOOkukrl3SOIHLww8/LMwuSzUyqqi2DyV6y6gYdeVn2ZWZhBjFpOY8LtPIqilK8IjRXsL0HJ7viBEjmrYZOXKkWEdN2SYtsQ8lqMXPl2k/TPWR2A66M6mTJk3CTz/9hOzs7FbPsXuCXxLeOekNmmd2hegNr1mz0O+Lz5Fy882oSUoW62pSU8WAqvBnnoH36afZpS56QGqjjtRFGyUnrC1eeeUV0XVOUlJSmpkvmjPmIrbsymZXOU3qunXrxO8rTRW7UJkHyDzC9957T/zl7zLHCdA80KAyZ5c5lsz/pIG7+OKLRW4g8fLyEkaRv9nMP5s4caLYhqaOOYwXXXSRMIE0mNwPu6Dbg/mNzP2fMmWKOB52IdKo0ai21IVGhuaK+as0ekyBCA4OFqkb7BZ+4YUXmlLJeC40PcyLVmDkkPnKfA2jdDTg1DUmJqZJDwXm0XIb3gAwF5tGds6cOZg7d27TDQG7PGlAtaDxpxH9/vvvRXUbpjDQGLIrlJryM6F5o+Fsq7ufEUaWa2TPI2HqHA32nXfeic7CdrBo0SKz0nQUk6hU6fDx8WnahgaeqF3fu7IP3uTw5oo3DuaaVHO+S/ZIrc500V13P7+kFIizS5nCfIVjx46JRHQlV0VP6PnuzXXAAPT/8kt4mPywNVRUIO2OO5D90sto6MaSE3rWpbeR2qgjddHGNJKlBSNKNDRcaBrNgUaTeYFKAICmisbxl19+abYdTSFhZIvRV6USAwfC0Sgq0Ukl6sl90iAykkmTpkQRGY1ldJLdu0qal2mUVQuaSxpHnhsH0DKqyr80zi1RDOKoUaOEMWWUjfD6QUPD9+OxUS+aaN4cmcIBOjSoyj5oPLX44osvxPY0qIRGlqa8I/Bc+D5K+UWaed5gcLbFjsDPhoOImffHz5HR7K7O1EhDyJsOLRhR5iDOtky4KWpDYbq6Dx5fR8rXmfNdskcMOtNFP3a5EQ6O4t01u6n4JWMZKnbvX3311eKHzHQEv55Q7u70isHHB33feRvZL76I/A+MAwxI3jvvoGLPbkS88AKcOphjZQu69CZSG+vWpc6nn+iW7659q8Gu8Y7A7nRzYMSVETxGHRVoOltOUavkVCqRFtMcS6YIsIub0BjxN3vlypVi9kDCqa5pfElGRoZ4rWkXdMsULxosBRpJphMoqUyMpHLhaHKmFXB2Qkb6TPenRN+UdYysEh4TR4czEKJE7BmhVI6t5euVfSjnpgbPR+mi1jofcz4DjnQ2PW9e+zr6fWDEmMadA5BoOBgB3rRpE7oCB6hRdzWUyhKMMpueszI7JG9GlAi10p5azhxpiX3w+DpS47Oj3yV7wVFnuujOpBKO1mTOKbs1OJKQP4iMoPJuUK/dgOwqYuRAzzgYDAi59164DRmKjIcfRkPjj3b55i1IOOdcRLz8EvqYdGHZiy69hdTGynVxcrNI3mhHUMq+dBSW8mqZc2lK3759RUDAtEuY3cad7fajSfX09GwyqMTU5LF7ll3+NI6KieRoebWJXUxh2SeWUFLMMS+oPG6mODD/0py8Sx4bI7LKtaQt82kuPJ8jR440W8fzaWlc24KfAbtav/7666Z11Ecx1+bA92SPI0240k6oS1ehIVQGKpnCc2YVA46sZ+Q3Jyen6QaHKQr8PJjGQH0Ix5twnWktZEvsg/D4GNHv7u+SrVOjM130ZZlb/Bjt3bsXBQUFotEyAV6vBlXtrk7P+Mw7C/1WLIdz375N62qzs5G06DLkLf1ItSvGHnTpaaQ26khdtOnsxYM9Uwo0eErUkNFO5qjyL/NHFSPCv+wO7+wUtcyH5D74G06YK2iaQ8i0AT8/PzFym/B4+P7twYgla3Mqv1H8+9VXX4n8UNPIZ3vHxvPivgjHQHQVRi+Zt6mcL/NcmafaES6//HIRyVbSDnhuLLllalrZpU2tmK/Ka2RLqCmNsRI5pUFlekRb8PrK1AjeyGjBNAQlXUKBx8lR9RxMx+gnB3f9+OOPTal6PFameTCVhJFYLnzM81RSByyxD8K2RV06MhGInoyYnjDoTBddRlKtEauI/JjgNmwY+q/8GukP/helf/xhXFlXh+xnn0XFju0Ie/ppGNrIQbJVXXoSqY06UpeOX0DYXarUjeRF/Ndff9XcBwcasYeK+ZiMXDFCxcFLjOIxh5T5muw2vfvuu8XIcO5bqflJQ0FjqZQi4khz1mVlJJNGgX/5+nPOOQe33XabGIHOfTByyciY6fPs2mUXL00mDQpHaNOAsrubxkwZGW8Kj5uj6E8//XQRTaMJY4qYUiOVRovHRLgfRmOV7nOuZ2oATQ+rEdCYMYeUo8VNn+fgJ6UCAo+XOZ7K+XGwFwclcXS/ogdvAJh/ym14fDSK1HXWrFliP/fee68YAKXsg8fDKgotP0u+D7Wl7uy6piFjnV4OFFPgaH9OFMAodcuR8UpkmRoyZY43Ahx0xWPhILBbb71VnLNyw8LjYGUHRs74GTO1oK02w5QKGmel2583NpzEg8doCtuDwuLFi0VUl4PICPN2uU7BEvtQSmQxl1cZLGaNZkwvGHSmi+6K+VuKni7mzwLL5oxO1Rv8+PM//BDZL74kTKqCc3QUIl9+GW5mlIWxRV16AqmNvnWxxmL+9orUpfu1oaFkXrBSCksvMPrKigDKDYW5yDajjizmb6NYy2AP9XqqVyP6o6VwCgpqWs9yVYkXXoT8Tz7pUve/terSE0ht1JG6WM+gBr0gdel+bRjdPHjwYKsqCL3Nq6++KiLgHTGoRLYZ69BFX0djxSi1Aa2VPiecgP7frESfSZOaTa+a9fQzSL3hRtS20RVky7p0J1IbdaQu2ughmqtHpC7drw2r67Cagt5mhGPt387MOCbbjHXoIk2qhWgvOd0aYCQ16oP3EXDjDc2mUy1dvx7x8+ejrBNlTGxBl+5CaqOO1EWbjoz0tiekLtpIbdSRuliHLtKkWghbyW1xcHJC8O23I+qjj+BkMsq6LicXyVdfg+wlS0SE1d506Q6kNupIXbTRqlVp70hdtJHaqCN1sQ5dpEm1EG3VILRGPCZNRP9vV8GzsYC2oKEBee+9j8RLFqLazNI0tqaLJZHaqCN10UZtxLtE6tIWUht1pC7WoYs0qRbCFrsonfz8EPn6awh99H9wMCmSXbl3L+LPORf5n32Ghvp6u9PFUkht1JG6aGOJwvO2iNRFG6mNOlIX69BFmlQLwRqDthr691uwAP2++hKuAwc0rW+oqEDWE08i5ZprUZOZaXe6WAKpjTpSF21stGJgl5G6aCO1UUfqYh26SJNqIZR5pW0Vt0GD0O+rr+B36aXN1nMwVfy8/6Bo9WrVxm3runQFqY06UhdtzJn20x6RumgjtVFH6mIdukiTaiG2bNkCW8fRzQ2hDz+EqKUfwiksrGl9fUkJ0u9/AGm33d6qVJU96NJZpDbqSF063hWXlZUlZmHilJiTJk0SU0uawtmFoqOjVafStBQ8Br4Pj+Hvv/+2eMF27jsmJkbMKsT/1XS57rrrxPtzW04x2htw1ivO+kU4wxRniOIUs1w4C9Xnn3/e6jWcGYvPcRYwLqxHqmDuPjgtKGdmCg4OFtOmmmpz4MABvPzyy7KXQsfd2nqhWme6SJNqAbYs24L89M7VEbVGPE48ETHfrYZPi1mBSn77TURVi3/7rdlMExJ1pDbqSF063hUXEhIiZsaiET3hhBNw5plnNnv+ySefbJoGs7vgMdBsdQecBpT7ZsF2lsj56KOPWukSFxeH3xp/e7gtdegNg8ppUxcuXNh0HEeOHME333yD77//HkuWLBHTmZpOW7tjxw4xhex7772HH374AYsWLcIFF1zQ9D0wZx+8Qbj44ovFoBdOp9pSG87yw+ceeOCBHtNC7+itW1svNOhMF2lSu8i6tzdg6aKl+GfxLhSkFcBeMHh5Ifz/nhEDqwz+/k3r6/LykHbrbUi9/Q7U5uTIkdptILVRR+rSuZG3zB/nHOs0Mi0jjYy80cTYApdffjnefPNNMX2jqS6ceUgxh70BzeHNN9+M+++/v6mMGgvf33333U0F0seOHSsMo6nBfPvtt0V0NDY2VvxPg1pTU4OVK1eavQ++37Jly3DyySdrthlG0detWyeMtER/o9j1govOdHHq7QOwZnZ9vwef3/SZeFySkIcnJj+LB9ffjaCY49OL2jpec+bAfexYZC5ejJLffm9aX7JmDcq2bEHxuecg4L77dFd7TQ8cOnQI06ZN6+3D0B3WoktNZQ3yE7unB8W/nz+c3VrP/MLu2rYuIjSiL7zwgjCqCxYsMB5nTQ22b98uDCzX8X9GIyMiIkTUz8/PT8ybfdNNN2HTpk0i6rp161bR5Tx8+HBhorRmoSkpKRHRuV27dqFv3744//zzW23D5x599FFh4nj8NGFXXXVVk+H866+/xHEVFRWJiCEji7m5uZrnSCO4dOlSfPbZZ2I+eZKYmIji4mLVmYfYXc5ZiTIyMsT/o0aNEt3n7u7u4v/4+HjxPI09j5FG76677oLBYMC9994rUifYHv39/bFv3z6hDfWMiopq9j5MccjLy2t2DNOnT291PBUVFQgymYL6n3/+EdFT02kphw4dKtZfdtllZu3Dx8dHUy+lzfB8eB68YZE3gu1/l+yVWp3pIk1qF0gO8kZ+ZAD8U/LE/2WpBU1GNWzo8ZxNW8cpIAARr76K4u+/R9ZTT6OuqEisry8qgufSj5By+AhCH38cLpERvX2ouqKtC7E9Yy260KC+Mu2Vbtn37X/fjpAhxyfTUGjZldsSdvefeOKJWL58eZNJXbNmDebMmSNM2J133omJEyeK9TSojz/+OF566SVERkaKbmXmc9KI0QQyx5GGjmkETBVQ4+GHHxYGkRE6Xthef/31Zs9nZmbinHPOEfmQ8+fPR0FBAU466SSRN8ncy48//ljsm930jAz6+vqKY2yL0NBQETHlXPI0cTTQfN9bb7211bzy1IsGcPTo0Xj//fdRV1cnjDHPm+fPczzvvPOEaebraf6Y9+nh4SFM+/PPPy/W8dj++OMPYcT5OrXBJYpxbWtaSeaGsmuex63A/3nepvDGgeba3H20hWmbYbSWbUPS/nfJXqnXmS6yu78L/GdyP8x4ZxFyYoKb1lXllOCpKc8heefxxHV7gJFSHw5s+OlHeM89Q6UCwDzkf/IJGurqeu0Y9caECRN6+xB0idSla/Nq05xy8BnNI/niiy9EhJXdxl9++SXOOOMMYQxXr14tonUtmTt3btNc7TQ1jDRqXcy+/vrrplxI0jKlgO/HiCUNqmK++P6ffPJJs+1oohWjRtPcHszhpFHj/hkh5eNx48apRnFpHq+99lrxP6OJF110kegaZ+4dzWd6enpTRJbHSlPd8vho7GlQyYMPPijyb1tCU+nl5aV5zIxe33PPPcJch5kMPO1IbmBH99GyzfD4qJVEf3PU6wVnnekiI6ld5NYzhsJr6RVYdd2nCD1s7E6qKSzH/814AXf9chsGTD1eW9Ruoqovvgjvs85C5uLHUNsYDRB1VZ9+BkU//oiwxYvhNnQo7B1GmRjBkjRH6qINjSGNVlswEsgueHbrMkJIY0ODxW52Gp9Vq1aJHMYVK1bgueeea/V6b2/vpseMGGrN5c2IN59j9FUhICCg2TYpKSkiWmkaiWW3fMvIYVvd1WowVYFm85VXXhGR3xtuuEF1O2WUO6Oz7EYnyjHz+Pk815uaaw5YamkQWx6vGozSaqU1sQv1xhtvFBHgloPaaHgLCwubrWPEueV3oK19mNtmeK56i5Tp+btkj9TrTBdpUi3AFTNiceTOMdjzhhMi9qaIdXWlVXhh9ku49bubMPzU4bA3vGbNQp8TTsA/N98CX5NoTeXuPUg473z4L7oUgbfeBoOnB+yVtLQ0GTW0Yl2YN8pu+e7at5YRai/SwZHwNKqMoPKxkifKqCnNqzKop6ulZmj0aGJN0zOYk2kKzTG79k1H/dNsMZe1q3CEO432/v37Rc6rGkreKEfOm0Yec3JyRE4nn6dx+/bbb5tMLA1qy/MwB5pN5vS2hOfL0ljMdVUGdrHLnoOflCgt/zc1CcwHZkTX3H20hWmb4Q2CWhTYHjHnu2SP1OlMF9ndbyGumj0CNy+7EikT+jeta6iqxatnvo4ty7bCHmEFgKD/PYKojz+Gc7TJIIP6euR//Ani585F8S+/6K7kRU/BQSkS69WFA5uYN9odi9qgKfGeZl48GBlkFPPdd98VuZ9kwIABIg2A3zcaIeaqdgWaOg7GolFUoq0czGQKn6eJ3bBhQ9M6llDiSPyu0q9fP7EfDvTS0mXMmDEiDcC0ZBUHal3aOCnJqaeeKkw0z0GBEWiO0O8ozHul5rzIK3CQ2jXXXIPx48cL08m8YC6mpaAYBWa+a0JCgvifKRQ8H+bKmruPtjDVJikpSRynRH/d2nrBWWe6SJNqIVgO5YxREbhv2VVImjro+BO19Vi66EP89Kx9mjHq4jFpImJWr0bADdfzG9D0HFMB0u64EynXXofqpCTYG6YldCTHkbpoY+5vCEdvcxAVI2/MLSXsGmf+JQcuMQ2AXfPMo2S3OSNsSpc8B0Pt3bsXDz30kOhKp2nTqq/6xBNPiAL7LKFEU6XkZHIfHHDFQU6s78k8U6VQPbuymddJOFhJeQ8asbagQeO2PE4eH+Gxc3AXdeH5cSHKNjTSzD+lAWQu7Nlnny2M+4cffii2ozY8Po7g57HxdevXr2/Ki+X5rV27Vixag8cUqCsHXLE6gQJ1Y+1TRnppqpXFFJpomm3mxfIYmA/71VdfiSi4ufsgNN7UnTAHl9qathn+ZQUCWylF1lXs8Xpsjbo4NOjtiCwE83lYVqWn4CAEZXDAv4n5ePi65ej3m/GHVGHqjTNx6WsXw9FgP/cGprqQqvh4ZD72OMq3No8uO7i4IOD66xBwzTVw1Nm0bD2ljURfujA3cebMmcJs6aULjAZe6a6X6E8XRqdpgplq4eTkpCttGOVmRLs7J3SwJvTSZuxBl7KyMpx22mniRpQpKrxhNNev2Y9b6maUQszkhH7+eOmjy5B44STUOx5PpN/41nq8et7bor6iPepCXGNiEPXRUoQ//xwMJgMuGqqrkfva64g/8ywxY5WN3ju1qY3EiNRFG70YH72hF114IWaUWpkWVS/aMMeVNWhZCkyirzajN5x0pos0qRai5Z3HsHBvfPjOAmRedzJqXI5/6AdX78YzJ7+IsgL7mPpR7Y5MlKuaNw+xP/0Iv0su4Yqm52pSU8WMVclXXoXKw0dgy8i7eHWkLtrISTH0rwtH3nN2Jz1pw8kBHnvssaYJDCT6ajN6wkFnukiTaiE4wrQlEb7uWLbkXFTcOxeVnscvvGlb4vHouKeRdTTLLnVRMHh7I/R/j6Dfl1/CbeTIZs+Vb9mChHPOQebjT6C2oMDutLFnpC7acBCNpDVSF22kNupIXaxDF2lSLQTr9qnh08cZSx89HR5PnovSAGMiPClJzMXj45/GobWHYI+6mOI+cgT6ffE5wp5+ulkKAKsAFCxfjvjTz0D+Z5+hobYW9qaNPSJ10UZP9Qv1hNRFG6mNOlIX69BFmlQLwVGsWrg5G/D6rTMw8NWFyIs6bsJqSyrx0qmvYN3b62GPupji4OgI33PPQewvPyPgmqubVQHgNKtZTzyJhHPORelff9lMvqq52tgbUhdtlFqekuZIXbSR2qgjdbEOXfR1NFbMtm3b2nze0dEBiy8Zh7M+vQppo6OPP1FXj89vXI5Pb16B+rp6u9OlJQZPTwTfcw9iv/8Onief3Oy5qqNHRbmq5KuuQqVJ8Wt70cZekLpYT1ecXpC6aCO1UUfqYh266NKksgYcoyktF7XacHrBdGrA9manuveLa5Bw6kg0mOQn//3mn3j+tFdQXlgOW8JcXVri0q8f+r71Jvq+9x5cYmKaPVe+eQsSzj0Paffdh5q0NNibNraO1MV6ohx6QeqijdRGHamLdeiir6NpMX93yyUxMRF6ZciQIWZvO3NwMN789AqkXjEDtSYj/+P/OIRHRj+BtL3Wa7y6oosantOnIWb1twh56CEY/PyaPVf83feIO/0MZD33vEgJsDdtbBWpi/WUh9ELUhdtpDbqSF2sQxfdmlRrY+PGjR3afkCwJz577QJUPHAmKryPlwUpTc7HExOfxtblx+e7tydd1HBwdob/oksR++saBFx/PRxMiv031NQg/8MPcezU05C39CPUd3E+cmvTxhaRumhTbUXtuyeRumgjtVFH6mIdukiTaiE4HV5H8fNwwUePnI6wly9BXrRJYfvKWny48AN8dscXqKs9Pg+0veiihcHLC8F33oHYNb/A59xzm9VXrS8qQvazzyLutNNR8NVXwrzakza2hNSlczUMOavLf//7X5xyyiliCk8WludUmT/99BNsmeeffx6TJ09uNm3pt99+K6YptXXuvfdeMYPPLbfc0uE2k5ycjMWLF4vHVVVVYiYqasjZ3qgdp4TlelM4KYAyvS2nwv3++++bnjNnH3xPHi+3MV1yc3PF85yml/Vc2Za7i48//li0Fy6dNXE8ZlYhWbFihdmfg7XgoLM6qfqK61oxnW3wLk6OePbKifhscDCW3fUVorYea3puwytrkbAtCbevuhFeQcY5se1Fl7ZwDg1F+NNPwf/yy5G95AWUbfir6bnajAxkPvI/5L3/PoJuuRXec8+Ag85KanSnNraA1EUbFxcXzec4tzsv9pzGlV129fX1ePzxx8Xc9HPnzoWtQoPAczWNwM+bN09MaatnaHCee+457Ny5s0sGvaKiosNtJicnBwsXLhRTpZL4+Hi8/vrrWLt2LYKCglBYWIg5c+agtrZWmEZSWlqKCy64QLQz/j127Bhmz54tprQcO3asWfsgNLfcTo3g4GCMHz8eV199tdCnOwzT5ZdfLjSh9p2Br/3uu+/EOXfkc9AzycnJGDduHHbs2IG+fftCT+g2ksqIwPDhwxESEiJmy7j77ruRl5cHvfLHH3906fULp/TD019eg8SLT0St83FTlbIxDg+Pehxxm+NgjXRVl7ZwGzwIUe++i6ilH8Jt2LBmz9UkJSP93nuRcPbZup1mtTu1sWakLtq0jGyZsmXLFkyfPr0pp4wDIG6++WaceOKJsHVohFrWevRrkcNur6i1mf/9739iZqyoqCjxv6+vr7jm0lwq/3N+9V9//bXpNStXrkRdXR3OP/988f+AAQNEtPTtt982ex/mwCgtI6lffPEFuhM9XhP0/hvTG+gyksq7J06NuGnTJvTp0wd//fWXuPtZtWoVtm7d2vQlMOXFF18UiwLv4njnt379evEDxjs+/oiz8U+dOhWHDh0SUYcJEyaIQVlpaWnCFFdWViIuLk7MH85j4Ow3DOuzugBL43DkMQd28K6d3ZKM+vCiyrthvgfXcx+8i9+1a5c4Dm7DQV9ZWVkYPXq0WJeUlITBgweLYz18+DCio6Ph5+uLRef54auIk+D14RZ4NE6dWplZjGenPY9hlw/DVS9fIfToiXPixY7n0ZVz4o3F6tWrxc0GqzPwePnjNWbMGPHZ8Hh47F36nIKCsH/RpYjKyECfb1ejPjm5qR1UHT0mpll1HjoUCSdORvWwYZh50kldOice/+7du7t8TkVFRUJ/PXxOljonS7Q9rtfDOfE7XV5eLp5jpI4XaGdnZ3Fx47oGxwbkVOWIxwZHR1Hrl48dHRxgcHISpVwYB+Jrqk0ecz0vjy7OzsZ9NzSI9fV1dairrxfnHugSCMcGxybDKd7DYBDHQT34mAu7HmlG+XoajqVLl2LatGnifHmc1Jdd/nwNI0DU6qmnnsK+ffvE+fOcrrvuOhFpZXSNES/qyvfh/tkdPGjQIPEe11xzDf7++28RReNvK3XmZ8LXvfXWW/jll1/E8VK/8847T2zP7c4++2zs2bNHtI033ngD3t7eWLRokYi8PfTQQ+J4+b7clsfDdvDkk0+if//+TRdM7v/LL78U5zNy5Ejxvunp6bjkkktwxx13iOMl1Hbz5s145JFHRFtLTU0Vx8RrCiPKH3zwgfHzqK7Gtddei3PPPVe8L6OKjCLR1PO4OM99QECAeF+2H+63uLgYzzzzjNCO+2TEid3ZXl5erT4n6sW289JLL4k2zPfkeTN6x3P48ccf8corr4jubZoybk+z5+/vLz4npc3xdfy8/v33X7Ff6kFd2Z3Oc+JxcTs+5mfM/fBYeH5cx32Jdtj4mOt5vnz/5cuXN7ULHtM555wj9FfaOj9HrlfaG6+9/I4p58h9MYBEM8lteOwXX3yxOEa2PVdXV/Fe1JH75Ov4HLXldvz94/fxpptuwgknnND0OfF4ebPF42PbUTsn7sf0nJT3U/Tg+nXr1uGFF14Qj3l8I0aMEOac7Usps8T0BLZb/n4wIk8N+H4lJSXCcPO7oERz2aYYPVXeT/m8uW/x/a2vF+upHf+yvTz77LPiN4h68VzZXsLDw/Hyyy/jzTffFL+Dt99+u2jHbCv8/aGeGRkZuOyyy8RvKdsMo888D+6by5VXXonffvtN/JbxdfwcFixYIL5LTDngdYHHS92WLVsmrsNLliwRuvH4Gf3md5vHxN/qG264QZwPvxN8DY+Jv4f87X744YdFW+b7zpgxA3fddZfYhnqx14bv6ePjI1JB/vnnH+Hb+Ftk+jkpv5mM2PK36c8//2z2W96mH2zQ4e0EL3Yty9Aw94V5IGzQ/KFrD34I/IHqKfhl9PQ8PqNUV6itq8czX+/GjodWITiu+dSpMbOH4KYV11hN978ldTGHhro6FH3/PXJffwM1Kp+/+7hxCLz5JnhMmdLruTc9rY21oBddeJGmOeYPsWJQTUkrS8XDO/7bLe/95LinEeER2Wo9f6612i0vKLx4HThwQHTdMSf1wgsvbNZ9d9VVV4kL9EcffSQunMxXpTli9yUvjDTsNBBkw4YNuOeee8SFR4G/wbxwMjrGC9ydd94pLpI0c1dccYWYG54XJl64+Ds9ceJEcVEcNWqUMJ5KFO6rr74SFyleFBUzyeMlvKgyp/Trr78W/9OcPvjgg8Igh4WFCbPE7nz2rt1///1iG5oBmkGeB+G2NDhKriMv2uxC5vnxBoamhJ8tTSsvxoQGhMaY70eNaZRoHpQ8Q2rHc/vkk0+EdnxvHrfSZd4SdovzmHjtoi7s4uY50Txx/+Z297/66qvCPPM9qRk1/f3335uioMrxaXWht2wz/Dx5U8IbS61ybzReNI40NqeeeqpYx8+ORvvDDz9s2u79998X50mjY84+aPqefvppYZAY6WZqADXmDcSUKVOaXsvPn+fVlWs4c0TZzpU2yPbFfFTqRu1ptmiETz75ZBElZltnCgN1Nue7wPZy3333CXOo9jmwvfF9le8a1/Mmkm2T7YFehsaa3x/CqDMNLT8X6sx2WFdX17T/ltCg0kDyc6HhpwnnOa9Zs0Y8z5s3niPPl+9J00gtCG+2eIOkvHfL7n62FxpT3qyz3d96660inYHfO97Y8diVc+ZvAb9ffB33y+15Y9fyt5T68waLx8hzNdev6bK7X+2Lwy8V3TvvAG19RLKTwRGPXDQWV351PRJmDUe9yQ8My1Q9NPwxHNlwBNZAT4/UZv6p79lnI/bnnxC6eDGcWnxZKnbsQMrVTKu4GCV//tmrXT5yFLs6UpfOjbxltJoXVho1mgNeHPmXF0bCiCef40VEmfqQFwtGRAh7qBidZGSPFyNG8BhVVIyeAvMMaVCJcpHjBZImlV3IjLQyckMzSXhxpBHh8SjQpF500UXiMU0jo5/8jef70viYmgFGljgYjAaVTJo0CQMHDmx2TLyYt8V7770njBLfS3lP/s/1pnAdrzPUhxdTnr+pdjQeinY0DzQENO0t4e8KdWcUm4aEUANGYbdv346OwMgTjQg/F0bXeMHvSB5ryzZDc0IYAdaCET9GaxVz2RZav6Fq+6B5YQRZScVghJDtqaXB5rHR5NKUdxa+B9tOSkqKaIP0DjRDCuylpUElvIli9JSfc0e+C1pwP+xBNP2u0aDRDComkvtVboBp0GJiYsT3Snmef89oYeZM4bEpA9cYDeb+aTJ53Ixa0mgrNzKMgNP0cn+80eSxmX7H1NoLzSf3xTZP2I4ZaeZNmik0vsqNMG8mWxpUm+zuV4MfNLsNlC+Y3uAXytL8Z2wERnx+Fe566ld4f7gB7iXGxOyqnBIsOelFzH30LMx7eC4cDbq81+g2XcwtW+V38UXwOedsFH7+OXLfeRd1+fnHj2v3HqTecKPIZQ248QZ4zZ4tumvtQRu9I3XRpr2bKkZAGJHiQpPAiyujLTRIvFgrg1NMt2fEkNAo0CAyKkJDqERXGFExhV17pjAqyYgTo4LsNie8EJq+jula3D+jRDwH7p/RIsIuWKZ4/PDDD2KdEgVV4IWS3ZmmsGu5I7rwXGiITKERYRRX69yYDqFcsBXtGCliVy2hueDFmdHBllP50szw/Bl1ZJRQgdsrRsgcaCRoEhjpY1erEsFr+Zm0RUttFEOvFZFnNzQNG82kKTQfND6mFBQUqJoSrX2owRsGdv+qFZTXuvkwreSgdE23hLqzl4Dbsr1cf/31omdBwdSkM6JJlM/b3O+CFmrfNbYntm/lObZH/taxe3zv3r3C0NM483tw+umnC6Pp23gzqKUB02p400KTyhtGGlu+nik6jIIqMPLJdsCUSR6HEsVvq73wnPk5KNFkwvdq2Z7aOkabNKlsrOyO4p2zKWysvDtX7qb1RneNJI0J8sTnz8/Hk+P7Yv/j3yP4WGP3f0MDflr8Pfas2S+6/wOiA6BHenuEraOrq6gC4Hv++chfvhz5Sz9qblYPHBA5q66DBiGQZvXUU3usGkBva6NXrEWXYPdg0S3fXftWQ7mYqsGLMEcZK+aPFxhGNWkUeDFUoh2mJokXHEb2mC/KyCcvxMpvrLn1EtlFyW5wRlG1plakEeFFmdFUviejrqZGjAZMOe6Wr2UOc8sIVr7Jd9icAuSMKLUMcFAHc0cyK9vR9CtdpspxtDTtSm8gcx9vu+22phQHwm5ZJbJqDtSGqS+KQe1MHcuWbUYxlTSRDPy0NJdMF2GKAU0sHzOiTHjeTKswTR+gyWe03tx90DgyMsx2psBIND9jU5jPyehny+NTUNI62oLtiKkIvAliVJA3SvwclYGEbaV7dfa70LK9sM0xN5/wO8jzUp7j58IoM6OhNISMhNJA8kaP6Q7tRbFPOOEEYRC5Lf0RHzM6y/2xp4Ftz7QdPfDAA2L/7Z2P0l74neFvCPev3DTws+/pAeyOejSpr732Wqv1vEPgnYWSt6Q3mMjfXbg5G/DkohNw3Tc3iOlU6x2Pf7lSN8fjkeGLseXTLbocrdidunQERw8PBF57LQb8/huCH7gfhqDmKSVVR44g7c67ED/vPyj67js0tBgtbMva6A1r0cXZ0UXkjXbHwn13dF5tRrnefffdpt8B/mW3Okv60EgxcsjoC42iMtCIkRUlx58XNkZ0aF6IufVVOcqbMCJEeMFtGaEkNKbsfuXAGdPyPXxfDgxSzo1doKYwkkOToeQ90kAkJCR0qLuf3a7cB6O+hH/5v9KV2R6Kdp9++mmTdjwPRryU/02hAeL5fv75502Dv2jG2LWt6EtTrkTmaOxMa46aasPt+bkQ3lC015vIvFcaY8WItGwzjErTiChaKLAd0MwwWszjYm44cy4VGLWjWVEiw8yBZn6tMujGnH0cPXpUtFHl86KB5bWdBtIUHhu74LsCTR61U3oXeM6mVSDaul529rvQsr0wkq6cKyOzNKim5pPb8DvImxqackY/eXND/dorG+fg4CC6/DnoUPFF3B+/HxyMZDqNPL+jHJTFc2Z7VVIKFJQbRH5mTLdizjCPk5FgpRYsYXtW8sB7Ct1FUgm/rAy3c9QpBytQXCaO865GKT6sN7qSO2MuZ4wMx4gVV+HOZ36D+/t/ok+h8QeurqwaSy9bin9W7cLVHyyCh5+HXenSERz79EHAFVfA7+KLUfj1SlFPtdYkp6w6Ph7p992PnJdfgf8VV8D3/PPEa+xBG70gddFGzRAp0CxwEA+NEy/IjNzw4qTkpBJGVZkGwAugEqniwBbCQRa8uDFPj5Ev5sgRDm7i7zEjY8ypZHclzQYvuoTbMsLI0dAciMQIDAcg8YLG6A4jvIQXPZplDrwwhbVcOTCDaQfMnVOiV7zgchAVDRe7/PmXUUCabka5lEgYo8fMt2OUimaU1w2mOCj74Ahuvjerv/BYlAoLPG+lx475sTR/1IcXZp4nB/UQ6sWR0qbaMSLF/dDwtxxQp8DKBXwPHoMSPWWqgBIdZHSUGtNgcB8tc/0In2NEjLmtNJfMO6YB4rEoFXCU42Sk7P/+7//EefDz4TnyM27ZZvgZUA8OBlIimsxlZNSRsLtYDUZ0edPDHGa2KRoatouO7INpHGxHjLoz+k0Dz8/FNApPeGxKznJn4c0NjTW1Z9vgQCK2MZpC6sdIOqOXbLts46Ztvb3vAgftKe2FJpS9CS0/Bz7HwYLKudIIMm2DXfoKTFPgzYRy/kxrZN4ov2PmlFCbN2+e+CwUQ8uoLc2pksKjwGPhIEeWDON3U0mdpMa8ceT3lBU3eH5sMxzcxuPkDQnbMY0qb1BYmUDJQ+d3QTlntnFzotudQXej+9lweLdKcXi3zC8CP1x+cAzbUyRz6OnR/bxLbpmX1F3U1NXjhdX78Pdj3yNyz/FyS8Qt2As3LL8aQ2c3z+HqLXpSl87AaVSLVn2LvHffRY3KCFWDjw/8Fi6E36UL4dQiD87Wtekt9KJLe6P7ewMaDqXrzV7gRZxmxjSHkF22NOVKBM4edTEXNW14bWR+JrtyTfMm9QANKm88aCa7cx552WZ6ThebGt3Pu0TexTB5nt07TMxm6J8J0OYa1N6gvVpflsTZ4IgHzx2FR7+9EUmXTkW1+/GuwcrsErw852V8ctMKVJVV2ZUuncHRxQV+F12I2F9+RtjTT8OlcfSvQl1REXLffBPHZs1G5uNPoNqCNz5616a3kLpo0163ti3C1AH2pCnxFEYPeUFTRmbbqy7moqYNTQEj4aa1xfWAMiqeUeXuNKhEthnr0EV3JtVa4QjPnmZif3989d4C+L60ADn9m98Nb3zrTzw49FEcWX/E7nTpbDUA33PPQcxPPyLi1Vfg1iIfqqGyEgXLlyPu1NOQdtfdqFDJubNVbXoaqYv1XEB6Ag6qYWSHaQzMwWN6AE2MUl7HXnUxFy1tGNFit7TeglRMkeiJ2cJkm7EOXXSZk2qNcOab3sDLzRkvXT8FP53YD688uBp9f90DQ60xB6kspQBLTlqCE6+bjouXnA83T+PIPnvQpbNwZL/3qafC65RTUP7vv8j74AOUrd9wfIP6ehT/9JNY+pxwAvwvvwyeJ5/cqYoA1qZNTyF10UYPKQc9DbujTWusqmGPupiL1EYdqYt16NKmSWUSuiVRpoSzRXp7sMfcUeGYsOJK3P/6BhS/uQ5+acdLtGx+9y/s/mEvrvvkih7PVe1tXToLB2V4TJwolsrDR5D/4Qco+vEnzoPXtA1NLBfnyEj4L7oUPuedB0MHZkqyVm26G6mLNsp0pZLmSF20kdqoI3WxDl3aNKm8e1XmXe0q3A9HXNqqSWXeLKcp602Cvd3w4YOn4KvZg/H+oz8g6o/9MNQaQ/fl6YUiV/WEK6dg4UsXwt3H/Fp91q5LV3EbPAjhzz6LoNtvR/7HH6Pgq6/RYFLUmdOvZj3zf8h55VVhVP0vXdgqt9VWtekO9KKLMnpcT91fehnApTekLtpIbdSRuvScLkrpr85MRd5udz8HMXV1Hm2aXL3lvlgalk7RA2wEF06Kxswvr8ZDb/+N/NfXwj/lePHdf5duwp7v9+CyNxdg/Pnju33+er3oYgmcw8MR8uCDCLz5ZlG+qmDZMtSkpzc9X19ejoJPPxXrmQLgf9ll6DNpoqbGtqSNJdGLLixdw3IsrD+ql0lEunswibUiddFGaqOO1KXndDl48KAoacXfU4uWoGLIlz/QlihRwfIhrCWm1Bvrbnq6BBWn+xsyZAj0BD/a1TvT8NYj3yHyt31wqmkeEYqZMxRXv3cpAvsF2pUuloIF/0v+WIv8Tz5BhcZ83K4DB8J3wcXw+c9/WqUC2LI2XUFPuvDm+vDhw6IgOYts9zaMSMiLa2ukLtpIbdSRunS/LtwXDSrr53KiAtb55YA9Tmphrl9r06RyRCVrFkqT2j4sm8G5d/VITkkVHnlvE3Je/R2BSc2nF3RwdcK8R8/C6fecCoOzwa50sSQVe/ch/9NPUPzzL5zipdXznBDAe/5/4HfxApE+YE/adBQ96cI6zSykzuLu/D3s7p6H9mCBdtlF2RqpizZSG3WkLj2jCyOo06ZNE1MvM+jJiSRapnN12qRynl7OdtGRuYa14CwFnIJOmX7L1kwqp3LUQx5dW/y8Nx2vPPkLQn/YCdfy5nP3+g0OwbVLL0fsibF2p4slqcnORuHnn6NgxeeoKyhQ3cZ9/Hj4LViAhJBgjGkx77VEf22GP5EsMM7pAi2Vo9+VQWWcHUbSHKmLNlIbdaQu3a8Lb+wVw8vfTc6IxVneWkZqO21SrZmeNqkt58rVK6VVtXh+5W5se24NInc3n7uZjLt0Eha8cD68Q7ztShdLU19VheKff0bBihWo3L1HfSNfXwRceKGYTMA5IqKnD1G36LHN8GeSx8XpFXtzIBVryHJqUElzpC7aSG3Ukbr0nC68uefYJk7JqpZKYFGTmpycjL59+/Z6t1d7yO7+ttmbWoTFL/wBt2Wb4JlX0uw5Rw8XzF/8H5xy+6wupwBYmy7dAQv/M7pa9P0PYlKAVjg6wnP6dPhecD48Z84UEwvYM7LNaCO1UUfqoo3URh2pi350sei0qHTCnLpM0hxruyMbGemDL188B7O/vgGJs4ajzul4U6gvq8aqe7/GA0MfxcHfD9qVLt2B+/DhCHviCQzcsB4h/30QLv37N9+gvh6l69cj9ZZbcfTkWch+4QVUJSTAXpFtRhupjTpSF22kNupIXaxDlw5HUpljsGrVKrOmLeO2zG1gSZmeTlDu6UgqB5iFhobCGsksqsSTH/+DlDfXIvRwRqvnB505Epe/fnGnqgBYsy7dBb9y5Vu3IuPDpajZuJGF6VS3c58wHr7nnw/v006DowXywq0F2Wa0kdqoI3XRRmqjjtRFP7pYtLu/MyNcXV1dsXDhQjz//PM9lqjc0yb122+/xdlnnw1rZmt8Hp5ZshZ9vtwKr9zmKQAOLgbMumMO5j10Bty93e1Kl+6C2px54okoXLkSRSu/QU1amup2jp6e8J53FnzPOx9uw4fpPtWmq8g2o43URh2pizZSG3WkLvrRxaLd/TNmzMCgQYNENIjmc8CAAaK8ABc+5jo+x3ID06dPx9ixY0UU9YMPPhD/l5WVwRaxhVGCk2ICsPK183HGqpuReMZo1Lgej343VNfhj+fW4N5+/8Xa19ehrkXNVVvWpbugNs4hIQi66SbE/vYroj78AN5z57bKSa0vLUXhis+ReP75SDj3PFGXtTbv+AQNtoZsM9pIbdSRumgjtVFH6mIdunQ4kpqSkoKTTjpJlKa65pprWhW4pgl97733sGLFCvz666/w8fERBV35/4033oj7778fjzzyCGwtkmpr5SwKy6vxwte7sfOl3xCxKwktY3de/QNx6UsXYPR/RrcZ2bM1XSyJlja1BQUo/v57FH71NaqOHlV/sZOTGGzlM38+PE8+CY6urrAVZJvRRmqjjtRFG6mNOlIX/ehi0UgqZw644447cPvtt6vOwMJ1fJ4FsB966CGxjiUHFi1ahCeeeAJff/01bJH169fDlvDt44InLzsBL/x0C0ofmoe86Ob5qCUJuXjr7Lfw+InPIvHfRLvRxZJoaePk5yemVO3/3Wr0+/IL+F5wgZgMoBm1tShdtw5pd9yBo9NnIOPRxSjfsbNXa3haCtlmtJHaqCN10UZqo47UxTp06bBJZXT0rLPOanc7bvPdd981W3fmmWciLi4ONkfWXri5ucEWGRrmjc+eOBPX/3gr0q+eidIAr2bPp29NwDMTn8Er576NrCNZrV5vq7pYgva0YYTafdQohD3xOAb+tQFhTz2FPirF/+uLi1H4xRdIuuQSxJ12OnLeeAPVPdiLYGlkm9FGaqOO1EUbqY06Uhfr0KXD3f08ge3bt4uZA9pi//79GD9+PCpN6kImJCRg1KhRKClpPijHqrv7j/4CfHYGakYsgvNZrwNuPTOjVm9QW1ePFZuT8NnzvyL0j/1wLatqvoGjA8YvnITzn5wP/yh/saq0tFQU8ZW0prPaVKemofj771D07WpUJ7WekMG0OoDPWWfB67TTRHTWWpBtRhupjTpSF22kNupIXfSji0W7+8PDw/HWW2+1u90bb7whtjVlz549uqvB1SUqCoDvrhYPnfd9Crw1Eoj/A7aKk8ERi6b1x9dfXo0Ry65F4vTBqHMyKfZf34Dtn27Bg7EP4+OblqM4q1h3XQd6orPauERGIPDGGxHzy8/o9/kK+C64GI4+Pq22q9i2HZmLH8PRadORfO11KPz2W9SVlkLvyDajjdRGHamLNlIbdaQu1qFLh03qRRddJEzqBRdcgLVr16KoqKhZwu0ff/yB888/H++88w4uvvjipueSkpJEjurQoUNhM2TtAapMosJFycAnc4CfbgWqbbOKAfF0dcI9Z4/EJz/cBL83FiFlbD/UO5oMnqqtw6a31uO+6Aex+8P9KCuwXS26AgcUdgWRDjBmDMIefVSkA0S88go8Z80Sg6qaUVeHsr/+QsYDD+Lo1GlIve12FP+yBvVqs1/ZgC62jNRGHamLNlIbdaQu1qFLh7v7OXqfo/vZ5a+M6jYYjNE0ZU5rpQTVn3/+iT59+ojR/hzZX19fj3fffVdUBbCZ7v7CJGD1VUDC2ubr/QcAZ38MRE2BrROXU4oXP9uGpA/+Qvi+1FaVAAyerjj17lNw6h2z0ce3xQAgO6a7ulVq8/NR/ONPKP7xR1Ts2qW5naOHB7zmzIb3mWfC48QTdTMdq+yG00Zqo47URRupjTpSFxvt7ufofYaD77zzTvGYhpTOmwsfcx2fUwwqOf3000WEdd26dViwYAFsCt9oYNFvOBRzC+BsYsDyjwFLpwO/3gfUVMCWiQ3yxBt3nIRn19yGuifPQ+agsGbP15VW4efHfsDdkQ/g6/9+i7J8GVklW7Zs6Zb9Ovn7w3/RpSIVIPb33xF0111wHTy41Xb1ZWUoWv0dUq673lgh4JFHUPrX32ioqYEt6mILSG3UkbpoI7VRR+piHbq06Bc0D5rPJUuW4KmnnhIRVcUB0w1zsFTL0WF9+/YVi83i6IjDPnMw5MzbgG+vAFI2Gdc31AObngcOfQvMexfofxJsmeHhPvjgoVOxY9EJePGdjahYsQWBCTlNz9eXVeG3Z37GHy//jpk3n4Qz7zsNXkHNqwXYEz0xsYXIX73uWrFUHTuGoh9/FFHWmuTkZtvVFRaKuqxcmN/qdfLJ8DrtVHhMnQpHFxf0JLY64YclkNqoI3XRRmqjjtTFOnTpcHe/uRQXF4t6qR9++CF6g54u5p+bm4vAwECgvg7Y/CKw9mGgrrr5RmOvBk55DuhjHPlu62w6loslr66Dw3e7EJCU2+p5B1cnTLt+BuY9eDp8QlsP/LF1mtpMD8OvfOW+/SIdoPjnn1Gb1bp0mOmUrJ4nnwxvGtZp0+DYA+VJeksXa0Bqo47URRupjTpSF/3oYtHufuafZmdnt7tdRUUFPv74Y9gLhw4dMj5wNABT7wWu3wGEt6hpufMD4I2hwL4v6BRg60wZEIg7LgjF7b/dgeJ7zkBO/+BmzzdU1eKvV9fi/ugH8dFNy5GXZLtTfbbZZnoYMeBq5AiEPHA/Bqxbi6hPPobfJZfAENT6h4lTsnL2q9RbbsWRKVOReuedKP7lF9SXl9ucLtaA1EYdqYs2Uht1pC7WoUuHTao5gVc68RtuuAH2BM+5GcHDgWs2A6e/DDibzMxVlg18fTGwfJ5x0JWNk5eXh+kDg7D8ufm497c7UPbgWcge0LwMWUN1HTa/tR7/jXkIr134LlL3WG8h+i61mV7AwdERHhMnIvR/j2Dg+vWI/mwZ/C+/DE6hoa22bSgvR8nPvyDtjjtx5MQpSLnxJhR+/TVq8/JsThe9IrVRR+qijdRGHamLdejS4e5+R0dH3HrrrXjllVdUn1+9ejWuv/56EW1lxEYZ8W/r3f18L76nKjSjP94EHP2p+Xond2D6g8CUewFnfc3y0J26bE/Kx2sfbkHh5/8g5EiG6uuiThqM8/93JgadNKipioSt0Wab6WUa6utRuXcvitf8ipI1a1CTlqa9cWMpLK/Zs+A5azZcY/rbrC69jdRGHamLNlIbdaQu+tHFot39ZMWKFbjnnnuareMsUldccQXOPfdcYVAnT54MS7B79244OzujX79+0DOZmZltVwC45AfgvOVAn6Dj62srgHX/A94cARz5EbaImi7jo/3x0WNzsfj3O1D3xLnIGBqB+hZGNPnPw3hx1ov476gnsO3Lbaivq4et0Wab0UGE1X30aITcdy9if/8N/VZ+jYDrroNLdHTrjRsaULFzJ7JfWIL4uXMRd8ZcZL/wAsp37ERDJ25S9axLbyO1UUfqoo3URh2pi3Xo0imTumrVKnz++ed44IEHxP8sLzVixAh8+umnogQVC/l/8803ZqUGtAXrql533XW6Ky6rRlpbkSZCEzZyAXDLIeMAKlMK4oDlZxlTAPLjYEu0pcuYvr54/+HT8Owfd8DjlUuQMr5/8xmsWMlrXxreu+g93N3vv/jtlT9QWaLPAvTd0mZ0gshhHT4cwXfdKWa56r/6WwTeegvchg1T3b46IQF573+ApEsuwdEZM5H+8MMoWbvO7MkDrEWX3kBqo47URRupjTpSF+vQpcPd/ayROnXqVMTFxYmi/gMGDMDmzZuFoeT/HM3PqCf/T0lJQbRa5MVMXn/9dSxbtgzp6ekizSAxMVG33f3Hjh0TWphN6lbgx5uBjO3N1xtcgan3AdPuB1xMclmtlI7oklZYgfd+PIAt7/2FsH/i4FJRrVKA3gUnXjEFZ9w1B0ExJlFpK6TDbUaH1GRkoGTtWpT+sRZl//4LtFFj1cHVFX0mT4LnjBnwnHmSKI9lq7p0F1IbdaQu2kht1JG66EcXi3b3z5w5E05OThg8eDB+//13MRKMI/5fe+01MU2q0i1fXV3dpTlgaUwfffRREZWlQdU7lR2dYjJyEnDtVuCsdwB3k5JUdVXAhieA1wYBO5caS1pZMR3RJcLXHYsXjscXP92McStvQvJZY1Hu03yGqvqyamx84088POBhPHv6qzi87nCXI/ZW02Z0iHNYGPwXLkTUhx9g0KaNCF/yArznzhWlq1rSUFWFsvUbkPXEk4ibMwdxZ56FrOeeR9mWrWiorrYpXboLqY06UhdtpDbqSF2sQ5cuub/hw4eLrn4vLy+UtyhJU1RUhCuvvLLT+77tttvE60ePHg1rgJHlDsNyVROuA249AkxgNQSTvMySdON0q+9OAOJbTLlqRXRGF58+zrj1jKFY9c21OP2n25GxcAoKw/yab9QAxK/ZL/JW7xvyKDa89zeqVSKvNtdmdIzByws+Z56JiBeXCMNK4+q3cCGcwprPQKZQHReH/A8/RPIVV4hqAam33Y7ClSuRuHNnjx+7tWBrbcZSSF20kdqoI3WxDl3a7O5//PHHzdrJjh078P333+PGG29EcHBw0/yvnJWqM6P7f/zxR9x00004cOCAyHFVorN67u7ft2+fyMvtEuk7gJ9vA1I2tn5u0FnAKc8DQUNgTVhCl/r6Bvx5JBsff/oPClbtRMjhdDjWt262Bh93TL96Gk655SQE9td/kWaLtBkrgD8xVYcOoXT9BpRu2ICKXbv4obb5Gua7esycAc/pM+A+aiQcnDo1OZ7NYS9tpqNIXbSR2qgjddGPLm35tTZNKrvZOWiire5UteeVdZ0pQcUpuRihZfrAvHnzxDpzTOqLL74oFoXCwkIxSo0pBxx4NXv2bDEnLffPnFqmKbAe2IQJE8R2TBbm+zLUzTuJ2NhYMb3r/v37ERERgdDQUGzbtk3MxDBkyBBs3LhRGGhWMWA0mRUNFixYINZzH0yL2LVrlzgObsNjz8rKEpFhrktKShIpE+Tw4cMid9fX1xe7d+3CUBxETPy7cCpufr71cETd6KuwHjNQ5ujd7efEtA6eR1fOiesZVQ8JCRGfI4+X5zlmzBjx2fB4eOzmfk7bj6ZhT6Y74r7ei7Cdiap5qw0OgN/YMJx5+yzkeebBy9vLouckPqfdu7t8TgEBAXB3d9fF52SpczKr7Xl7IyAlBdk//QzPY8fgWFra5m9CnZsb+kyahJyICORGRmD83Ln6Oycr/T7p4Zws8Tnt3btXXC9s6Zws9TlxXAenJbelc7LE50R/MmrUKJs6p2gLfE5M4+Q2PXlO559/fudN6t133w1Plfyy9mBJqpdeeqnDJpWlreLj40V1AAVriKSyPuz8+fMtt8PaKuDfN4H1jwOVha3rq066zTjASudTrFpcl0aKymuwYmM8vn/nL/hsOAyvnGLV7VyCvXDy9TNw8vXT4RfRImXARrWxJliiivVYS9avF/mqlQcOtPsa5+goeE6dCo+pU4V5NXTi98lakW1GHamLNlIbdaQu+tGlS5FUOmmlC78j8HXh4eFilL+50P2ffPLJ4q6YDt2aTCrvJHjnYXHK84D1TwD/vgHUtyjF5eptnAhg8u2Aqxf0SLfp0khtXT1+O5CFZUs3o/SnvQg+mqGaCgBHB8SeNhxn3TkbQ2YP0cVgvO7WxhqpycrG/mWfIjAxCWWbNqG+rKztFxgMYiIBj6lT4DltGtyGD4eDoXkZM1tCthl1pC7aSG3UkbroR5dOm9SPP/4YF198MVxdXTv8pjU1Ndi0aZMI7ZrLM888g2effVaEkk3JyckRf4OCjCWHOOK/PaevqxmnLEHeUWDtI8D+L1o/xwkCpv/XOPhKZzNX9eTsFUeySvDpLwfx7yebEbwtAe7FFarbuUf64eTrpmHGVVN7NboqZzxpW5eGmhpU7NmDso0bUcquor372s1ldfTxgcfkyfA4cbKIsrr062dTM5bJNqOO1EUbqY06UhfrmHGqw3VSewNriKR+++23OPvss7v/jTJ2AWsfaj3FKvGOBKY9CIy9Sjdmtcd0MaG8uhbf70jDyo82o+b3AwiKyzKtm3AcRwf0nTEIp980A6P/MxrOrs42r401oKVLXWGhKFdlNK1/ozZdfUpdU5xCQuAxeRL6TD4RHpMmwjk8HNaMbDPqSF20kdqoI3XRjy5t+bU2h8wyEjqJOV8W6D7bunUrxo4dCxcXF9giTBruEcLGAAt/BJL+Bv74L5D81/HnilOBn24G/nrKmK867lrApXmdUZvVxYQ+Lk64aHK0WPamFuHTH/Zi77J/ELIrEa5lVcc3rG9Ayp+H8d6fh2HwdsfESyfilBtmImKkepF5W9DGGtDSxeDrC+/TTxML762rExNR9vdGYVrL/vkHDS3K4JHarCwUrf5OLEo+q8ekyUbjOmkSnAICYE3INqOO1EUbqY06Uhfr0KXNSCrNaUZGRqdyUlvi7e0tRnTFxMTYZCSVI/x6/MPlRxf3q9GsZuxo/bxHsDFnlWkArr0zuKRXdFGhuLIGq/5JxuoPNwN/HUZgQjYcNFq+7/BwnHrDDExeOBEefh42r43e6IwunAygfNcuo2ndusWs1ADiOnAg+kxuNK0nnACDtzf0jGwz6khdtJHaqCN10Y8unZ5xypKZAJ3ZF0srsLwBp1flwscsf6BHWF6hx2Gu3YDTgOu2ARd9A4SOaf58WTbw273Ay/2Av54BKtVHwNucLip4uznj8hmxWLl0IRavvxuB716J5FnDUO7bOtJcuD8dX976Oe4KvhfPzX0NO1ftRE2V9nSf1q6N3uiMLg4uLvCYOBHBd92J/l98gUFbtyDyrTfhf/nlcB2iXVu46uhRFHz6KVJvvgVHJk1G/LnnIvPpp1H866+ozc+H3pBtRh2pizZSG3WkLtahS7sVsjdv3gw/v64PLunIKH8F1v2yFlgXrNegWR16DjDkbODID8ZqAOn/Hn++Is8Ybf37/4xR1Um3A97htq+LCqI2XqQvRl0zGZWXn4Bf9mVg1efbkf/THoQcyoCh1qRkWm0d4n7eJxaDlxtGnzcWs6+ZhtgpsRYZjKM3bfSCJXTh7FdeJ58sFlJbUIDyrf+IKGv5lq2oTkho/SJOOnDgoFgKPvlUrHKJjUWfCROMywkT4Bwait5Ethl1pC7aSG3UkbpYhy5mFfO3FEePHu1Ud39n6Onufs6w1Zl6st0CP9Jja4w1VlM3t37e0RkYvQiYcg8QNNR+dGmD1IJyfLkhHus+2Yw+m+Pgm1Ggua1buC+mLJqEmVdOQejgUJvXpqfpCV1qsrJQvnWrcSDWls1mDcIizpGRTYaVf52jonq0eoBsM+pIXbSR2qgjddGPLp0e3c9cUEv+AG/YsEHMfNETWH0xf0vAjzZhrTGymrRefZtB84yDrKKmGiOy9qBLO1OwbknIw5ff7cXhVTsRuCcFfYpaD8hR8B0RjpOvnILJF58A33Bfm9amp+hpXfgTWJOaivJ//kX5tm1iqUlJMeu1TkFBwrC607iOHw/XAQO6tU6rbDPqSF20kdqoI3WxjmL+bXb3d2Sgkr3Dqb90B01nzGzjkrIF2PQ8cHAVL8vHtznyvXGJnAyceBcw5BzA4GTburSBo6MDpsQGYsqdJ6P85un4dX8mVn+1E9m/7EPIwTQ4VzbPTS3cl45Vd3+NVfd8jaDx0Thp0WRMvGgCvEO8bU6bnqKndeGNuEvfvmLxPe9csa4mMxPl/xoNK5fquDjV19bm5KD4p5/FQhw9PeE+ejTcx46F+9gxcB89BgZPy3WfyTajjtRFG6mNOlIX69DFKuqkdga77u5vi9wjwOYlwK6PgTqTckymtVZPuBkYdw3gEWg/urRDbmkVvvs3Gb+s2Iaq9YcRHJcFxzqNPGsHB4RM6o+TL5uMEy4YD89AT5vWxtLoUZfavDyUb9/eZFqrDh4y9lS0h6MjXAcNEoa1z7hxwrw6R0R0uodKj9roAamLNlIbdaQuNtDdb830tElds2YNTjvtNFgNpVnA1teM061WFrZ+3skNGLkQmHQbEDrKfnQxg4TcMqzcEIcNy/+B67/x8EvOU58sgDg6IGxKLGZdNhnjzxsHD38Pm9bGEliDLnXFxSjfsQMVNK3/bkPF/v1AbYtpizUwBAWiz1ijYe0zdgzchg0T1QlsRZveQOqijdRGHamLfnTpdHe/xHwqKythVXiGALOfBKY9AOz8ANj6KlAQf/z52krjei79TjKa1cH/ARwNtq2LGfQP9MA9547C3eeMxM6UQqxedwzbv96OPruS4JfaomxRfQMy/j6Gz7jcuBzhU2IxY8EJGHfOGJvUxhJYgy6sp+p10kliIfUVFajctw/lO3ehYudOsXCGLDXqcnJR8uuvYiE0qG4jR8J91Ci4jx4l/jqFhalGW61Bm95A6qKN1EYdqYt16CIjqRaisLAQvr4dGzijK+rrjFOt0qzG/66+jU+UMQ1g7NVml7Cyel06MOBqR3IBVq89gh1f74Dn7mT4pmtXCGDo1XdkBGYunIQTzh+HoJignjxcXWMLbUbMiJWQKMxq+c4dqNi5SzOvVQ1DYKDRtDYaV5pYg6enTWjTHUhdtJHaqCN10Y8usru/B/jzzz9xUmNUxerJ3m9MBdj9CVBb0fp5BwMweB4w/nog9lSRd2cXuphJXX0DtiXm47s/DmPXyp3w2p0Mn0z1qJqC16AQTL5wAk68cDzCR4T3aFkjvWGrbYaR1Yrdu1G+wxhprdizBw3mRi04uCs2BkVBweh/2qnCvDLX1UFngxx6C1ttM5ZAaqOO1EU/usju/h66+7AZgocD894GZj8N7PwQ+Od1oCjp+PMNdcChb42Lbz9g3LXA2KsAr1Db1sVMDI4OmBQTgEkxU1B39Yn4JyEf3/16EHtW7YLn/lTVCGvJkSz89uSPYnGL8BX5q1MvmoD+k/rD0dDmxHA2h622GYOvLzxnzhQLaaipQeXhI6hgbuvu3cK0apa+YmT2WBzcj8Uhc7Ox9rGDmxvchg9vjLiOhNvIUXCOsM8bHFttM5ZAaqOO1MU6dJGRVAuRmZkppm21SZgKcORHYPs7wFGW2lFpMo5OxpzV8dcBMXOacldtWpdORlh//isO21fthMuuZPgn58Gxja+gwdsdA08ZiukXjsfw04bD3ccdto49txlOxUqzWrlnDyp270HF3r2oLzZ/OmODjw/cRowQ5tVtxHC4Dx8Op3DbN6723GbaQ2qjjtRFP7rI7v4eYMuWLZg8eTJsnsIkYMf7wI4PgFKNWXq8IoDRlwFjLseWYwX2oUsH4dfuizUbkVLmhS3f7ETdvwkITMiGobaN6YMNjgg5oR+mnD8O4+aPRvCAYNgidvNdMoOG+npUJyU1mdaczZvglJoG1DSv19sWBj8/o2k1Na4aA7OsFdlmtJHaqCN10Y8usru/B8jKyoJd4BsNzHoCmPkocOQHY3SVU7CaRldL0oC/nxHLII/BgPPdwPALATef3jxyXUGD4F6Vh3vPmwacNxqJuWX4eXsyNqzchdJNRxF0LAvOVS1KGtXVI2tLPFZxuedruEf7Y+x/RuPE88YhdmosDE7dN9NRT2I33yUzcGCd1f79xeIzfz62rl6NeaefjsoDB5pFW9uaIauuoABlf/8tFgWDv38z08roq1NIiNUaV9lmtJHaqCN1sQ5dOhxJ3bVrF/7991/ExcWhqKhIrPPx8UFsbCxOOOEEjBkzBvYYSeXsXJxG1i4pSDRGV5m/qhVdZd3VoecCY64A+s/qcCkrW0SrzWSXVOLXPRn48/s9SP/zMPyPZsIjv6zNfTl6uqLfSYMx9ewxGHHG8A5P0aon7Pq71EltagsKULlvPyr3c9kn6rbWpmt8FzUwBATAbfgwuA3lMgRuQ4bAOSpKGGW9I9uMNlIbdaQu+tHFIpHUFStWYPHixTh27Fib2w0YMACPPvooLrnkEtgTeks27lH8+hlrrp60GIj/Ddi5FDi8Gqirbl53de9y48J0gJELgJGXAKFjjNO32iFabSbYyw2XTu0vlorqOmyOz8WvfxzG/p/2wXVfGvxS8+BY3/zesr60CvE/7BEL8RwQjNFzR2Di/NEiyurs6gxrwa6/S53UxsnPD57Tp4nFNL9VmNZ9RtNKE1ubmam577q8PJRt+EssCo59+sB1iNGwutK4Dh0G14ED4OjqCj0h24w2Uht1pC7WoYtZkdRbbrkFb731lsijc3Z2RnR0NMLCwtCnTx/xfHl5OTIyMpCUlISamhrRZXT99dfjzTffhL1EUlevXo358+f32PvpnvJ8YN/nKPjzZfiVH9XeLnCI0ayOWAAEDIA90dE2w+/fwYwS/LYtCZtX70bZ1gQExmXBpbLt/EQHVycxicDk+aMx5syRus9lld+l7tOmNjdXGFfFtPJxbUe79wwGuMbEwG3YULgOGdoUdWX1gt5CthltpDbqSF30o0uXBk4tX74cl156KU455RTcfffdmDFjBtzc3DRnKtiwYQOWLFmC33//HcuWLcOCBQtgDyb10KFDGDJkSI+9n7UgdPGvA3Z9BOz+FChr44IYMdFoWIdfpFrOytboapvJLa3C2v1ZWPfjXiSvPQTvY1nwzjKm4LSFa4Qvhp46DCfOH43BJw3WXcUA+V3qWW1qc3KOm9ZDB1F14CBq0tM7vB+n8DC40bQqUVemC0RE9Ei6gGwz2kht1JG66EeXLpnUadOmYfDgwfjggw869KZXXXUVjhw5gr9NkvV7EmlS9UEzXepqgbhfjV3+rLFao5Fn6eBozFulWR1yNuARCFvEkm2murZezHi1dksidv68D5U7khCYkAOXCpOUCzUcHeA7PByjTxuO8XNHIObEGDi79W5qgPwu9b42dUVFqDx0GFWHDqLywEFUHjqEKs6YVdtiMF87MF3AZeAAuA0aLCYfMC4DRXqCJZFtRhupjTpSF+swqe3mpO7duxfvvvtuh9+UUdcpU6bAXjh8+LBs8O3pYnACBs01LtVlwOHvjYb12M9AvcnFr6HeODUrlx9uAPqdBAy/ABhyDuCp767q3mozLk6OmBwTIBZcMh45JVX460g2/lxzEPFrD6HPoQz4pBe0rsla34DCvWlYz+WFXwEXA4LHRWPCmSMx+vRhiBob1eOTCcjvUu9rw3qrHpMmikWhvroa1ceOofLgQVQePGSMuh48hPoy7UF99eXlqNy9RyymOAUFwXWwYlwHwm3QILjExnY611W2GW2kNupIXaxDl24rQWWtpUw6C/N0JR3QxcUDGHmxcSnPAw6sNBrWpPXNt+PsVgl/GJcfbwKiZwDDzjdWCvAKgzXTnW0myMsV547vK5b6B07BgYxirN2Rgn9+2IvCfxLgH5cN9xKVKW+r65C9JR4/cXlktagaEHliLCaeNRIjTxuGkEHdX6ZIfpf0qY2jiwvchg0Ti2kd15q0tMZoq9G0Mura1gAtJcWAi2lZLOa6uvTr12RalcirOSkDss1oI7VRR+piHbq0290/ffp04arfe++9Du346quvFo7cXrr7ZTkLC+lSlCIGXGH/l0D6tjY2dACipjUa1nMAn76wNnqrzZRW1WLTsVysX38UB9ceRt3eVPgn57Y7AIs4BXgiemosJpw2HMNmDUbIYMubVvldsn5tWBKr6vARVB05gqqjR8T0r1VHj6KhQuXGyMyUAdfYAXAdwCVW/DWdkMBadOkNpDbqSF1spATVjTfeKAZOpaWl4c477xQDp1w1umSqqqqwfv16vPTSS/j111/x6aefwl7YvXu3bPCW0IVmc+q9xoX1Vw+uBA58DaRuabFhA5D8l3H55XYgdKxxWtYh862mrFVvtRlPVyecOjxULLhpOrKKK7HxaA7+/v0w4tYfgdPBdPil5sNQW9fqtbV5pYj7brdYiMG3DyInx2DC6cMwfNYQhA0Pg2MXB8rI75L1a8OcU6fJk+AxeVLzqGtqqjCulTSvjSaWM2qhvr7DKQPCvMYaDWtyVSUC58+HS+wAOIeHWUVt157CWtpMTyN1sQ5dzCpBddNNN+Htt98Wd61OTk6IiooSc7u6uxtHBVdUVIj5XpOTk1FbWytK5Vx33XXiNb2FnBZVH1hMF0ZYD35jNKzJG5vPcNUS777HDWv0TMDJBXpEj22G392kvHL8dTATm9ccRPLfx9DnWCZ80gtb57Oq4OjlhvBJ/TH+tGEYMWsIIkdHdjinVY+66AVb1Ka+slIMyqo6chRVhw8bTezRI6jLye3U/hxY2zUmBq6xsXBpjLpy6alKA3rDFtuMJZC6WMe0qGbPOMVyUizmHx8f3+Z2MTExopj/okWL0Jv0tEmlSadxl/SALsXpxw1r0oa2DaurNzDgDKNh5V93/czEZA1tpr6+AYcyS/DX3jT888sBZG5NgGdiDrwzi8wyrQ4eLgid0A9j5wzF8JMHIXpCdLsTC1iDLr2FPWnDyQhEugCXY3GoOnZMLPXFxZ3an4ObmzCvwrjGDoBLTH/j/337wsFFnzeylsCe2kxHkLroRxeLmFSFnTt3YuvWrWJa1OLGHwtvb28xLerEiRMxbtw46IGeNqnffvstzj777B57P2uh23UpywGO/Gic4YrlrWrKtbd1dAL6TgUGnmE0rCEjezUtwBrbTG1dvRiEtWlfBrb9fkiY1j4J2fDJKGw1C5YqTo6i5NWQ6QMxZtZgDJg2AF5BXlavS09h79rwcsUBV9WMvCrGNe4YSg8cgKG84/muTQO2+vaFS//+x40rH/fvb/FSWb2BvbcZLaQu+tHFItOiKowdO1Yskub49uJsK3ati0cQMPYK41JTYSxbdfg7Y3mrlhMHsMwVqwdw+f0B4/SsNKwD5wL9ZwNu3uhJrLHNOBkcMSrSVyw4faiItB7OKsGmA5nY9schpG6Oh1tctih3ZahTyTOsrUfh7lRs4fL6OrHKNdIP0ZNjMG72YAyeMRA+3j49f2JWgjW2GUvClDPn4GCxeJx4YtP6P9etw7SRI5sZ1+qjxshrXXvTPNbVoToxUSxYZ2yTCgY/v+Pmtb/RvLrG9IdzZCQcnLqtOI5Fsfc2o4XUxTp06XAk1Vro6Ugq57vV24erB3pNFw7ESNtqNKyHVgO5B9venlHWqOnHo6zBw7s9ymqLbYY/J3E5ZdhyKBtb/ziIpI1xcDmWJUyrU03rgVhqOHi6InhsFEadPBijZg1GvxP6waWP7XbH2nub6W5dRNrA0UbjSgPLxwkJqMvtXM6rwNkZLlFRwrC6mJhXltBijVk9IduMOlIX/ehi0e5+NThgKj8/X5yYXkaF9bRJlfMA61yXvKPGtABOHJC4Hqirant7Dr4acBoQM8cYZe2GWa90o003wp+XlPwKbD6ag21/H0P8pjjUHMqEb2q+ep1WNRwd4BEbjP6T+mH0SYMw4MQYhA4J7XIVAWvEHtpMT+lSV1yM6oQEVMUnoDo+HtWJjY+Tk4Ga9suxaWHw9YVLdDRc+kXDOToarv36ib8u0f1g8PRATyPbjDpSF/3oYtHuflNee+01PP/886I8lUJISAjuuOMO3HvvvZ2qn1hSUoLly5fju+++w8GDB1FaWipyXufMmYNHHnkEERER0CNubm69fQi6RDe6BAwETrzDuHC2q4R1RsN69CegMLH19sUpwI73jQthiavYU4ymlfVZnd1tR5tuhL8BUQF9EBUQjYsms0j0bBSV12BHSgG2/puM/euPoGB3CjyT8+CVXaw+GKu+AWVHs7CPy7Ktxv26u8B/ZAQGT4nFqJkDEDM5Bj6h+opgdQf20GZ6SheDtzfcR48WiykNtbXGUlk0rAnxIupa3Whk200doPktLEQFl927W79nYKDRwJou/aJFVJYltboD2WbUkbpYhy7tRlL9/f0xePBgbN68udn6G264QRT4V3s5L0wXXXSRMJsd5c8//8TJJ5+M2267DU8//TQ8PDzEYC06+/r6ejFNq58Zyew9HUmlmfb09Oyx97MWdK8L22/u4UbD+rMxX7WunfnuDa5A9HSjYY05xViXtRNRPd1r04ODsQ5mlOCfg5nYsf4oUrbEwzk+Gz5pBXCuNn+ueOdgL4SNi8bIGQMxbPoARI2Lsrk0AdlmelcXTlLA6CsNq6l5rea1ps68dBYtnEJCmhvXxsfONLCdnC6WyDajjtRFP7p0qbufXWqccerAgQNN63755RfMnTsX4eHhuOuuuzB+/HhRsoClC2golyxZgvT0dHz99dc455xzOmxSWb4qKSmpWXcea65yYgEa42uuuaZLJ90d/PjjjzjzzDN77P2sBavTpaoUSGSU9RfjIKy8I+2/xj0A6D/LuPQ7CQgcbFY+q9Vp00NQl7FTZ2F7Qh62/BWHuK0JKDuQDq+0fHjmlsDB3ASlxjSBvuP6YuS0ARgwqT8iRkbA2a3tElh6RrYZferSUF2N6pQUMTFBdWKS8a94nNjuFLHtwvrkYaFw6RsFl6i+cI7sa/zb+D8jwnrWRq9IXfSji8W7+99//32MGTMGGzZsaOa4GXGdOXOmKOTPaOiHH37YYZPKygE0wS3zzfr2NU57WVRUBD3CSQwkNqCLqycweJ5xIYXJRrOqLOU5rV9TkQcc+Mq4EI8Qo1ntN7PRtA5RNa1Wp00PQV3Cfd0RPjYS88ZGApiJqto6EW3dfigLu/46hrTtSag/Zqwi4FZaqb6jxjSBQ1y+aJxi1+AIj5ggRI7ri1GKcR0V0W7tVr0g24w+dWGdVU4ewKUl9RUVqE6mgU1sMq81jUaW5bTahWW30jPEUr7VmO5iiqOPj7GEVksD2zdSRGd7Wxu9InWxDl06FUllwX5GS9syoD///DOuuuoqZGRkWORAn3zySZGTyrQDc2ZDkN39+sCmdGHFgOy9QNxvRsPKiQRqzRj84xFsNKuc/Yp/g4YK02pT2lgQc3UpLK/G7tQi/LsjBQf+Pobc3SlwTcqDd2ah2ZUEmoxrbBD6jovCyKmxGDC5MeKqQ+Mq24xt6VJXWoaaZNPI6/HHdfn5Xd6/g7MzDOHhcI2OOh6JpaHta/zrqLP8w57EWttMd2MT3f2BgYH4+++/xXotUlJSMGDAAFRVtTOK2oyBVBxtxq7+O++8E48//rhZr+tpk/r777+LwV0SO9KlphJI3Ww0rQlrgfRtQEOdeaY1eiYOVYZgyKnXGstdORp64ohtus0olQR2JOZj+0amCcSj+GAmPDMK4JVTAke1uq1aGBzRh8Z1bBRGTIlB7IRoEXF18+zdi7pNf5+6gC3qIqoPJCU3mtZE1KSkipSCmpQU1GZnW+Q9nIKCRM6rS2SkmDbWufGvS2SEiMJaSy3YzmCLbcZadbF4d39YWBjy8vLa3CY7O7vLo8QYqeUof1dXV2FOb7/9ds1tX3zxRbGY1vriHcH69etF+Hr27NliTtqysjJMnToVhw4dQm5uLiZMmCByaVmhYPjw4aisrBSzaXEGLR7//v37RUUB5txu27ZNGHSa840bN4pBXYzq/vHHH+I5PuZ67oNpD7t27RLHwfWJiYnIysrC6NGjxTrm3DI9ghw+fBjR0dGihNfu3btFhQSW8uLxch1TK3gePB4ee0+dk5OTkziPrpwTp9HlTYYtnVPzz2kotpQWwXfgqRgzPxYH1nyA0IqDiG5IgEPGdjhCxRiVZYvUAHGL9/brqHHsg+rQCSj1G4VjVSHwHXEqXD39e/GcevdzWrt2rbi57ew5OaQexnkzouH7n5OxY+du1PQJQFGDF/7+bQ+KE0pRl1gIDxpXVhPQmiWrrh7lR7JwmMsX/4pVDQ6AU6g3fAYEwDPCGaOmD0Lf0X2RmJMofmTl96n32h6PhcdnS+fU9DlVVSKtrhbDTzvt+DlFRsKV7/3PPwisq4NnSSkKDh2Ce1ERDLw2m1lCi+kGXCq2b2/9JFPuAgNR7uUJ17594do3CinVVfCKiUXE2LH459hR+Pr7W23b43eJgTS9/O7ppe39+++/wjv15Dm1RaciqRzZ7+zsLEpQafHEE09g1apV2LFjB7oCL1Y8ueuvv15UGvjhhx8QFBSku0gqGyo/JElz7FoXDsJK2Wisy5r4J5D+r3HWq/bgxAIseRU11VjuilO5etnPHNPd3WZYTeBodil2J+Rh9+YEJG5PQumhzPaNqwaOPu7wGxKKfuOiMOLEGPE3ZHAIDE6Wj47b9fepDaQux2moqxORVubB1qQko+jwETjl5Tb+n4I6S43rcHaGc3gYXBiBFUtjNFZEZCPgFBgIBx3XMpZtRj+6dLm7nwd8yy23NK2jm16xYgVWrlyJefMaB5g0UldXJ0pP3XTTTbjyyivx6quvWuQk6PRPPPFEkef6wQcf6M6kMv1h2rRpPfZ+1oLUpaVp3WQ0rEnrUZ+6FY7mpAcQv5jjhrXvFGNeq42mCPRGm6FxPZZTit3xx41riTCuhfDMLYahtgOpAsTZIPJcI0ZFYuik/hgwPkrkuXr4d62Yu/w+qSN1MV8bkUZAw5qa0mRka9LSUJ2ahhqOIenCRAYtB5M1mdZG4+ocFi6MrXN4uEg1cDD03m+YbDP60aVL3f2XX365+JuQkNDMuC5cuFCEh01haPeMM84QIWTWSr3wwgthKRgWZjIvR/7r9e5D0hqpS4vKAQNONS4s9fHNF5g3LhRI3miMuPJvlUaUoyDeuOz+xPi/ixcQcQIQMQmInGT8ayPR1t5oM04GRwwJ9RbLRVP6NxlXTvG6P6UQe7YnIWF7MgoOZsA5rQDeWUVwqWijnm5NHcoOZeIIly+3HU91DfCA36AQRI+OxNAT+iFqdCTChoXBxd28eq7y+6SO1MV8bcQkBiOGi0UrCkvTajSuqahJSxeTG4h1LKdlZj1YUZaLtWRNvEPzAzHAOSQETo2mVRjYMD4Oa/wbDkeP7puhS7YZ69DFItOiKjB3gUm3hHkINLId5ZtvvhGueuLEia2eYzc/jXF5ebnuIql8L76npDlSlw5ow+oBOQcaDevfRtNaqPEDr4ZP9HHDGjkZCBtrkZmxeho9txn+XGaXVGF/WhH27MvA4X8Tkb0vDbUJufDKKkKfgjJ0eJ49Bwe4RPgicEgoYsb2Fea17+hIBMUGwdHgaDXa9CZSl57RRszGlZllNKyKcaWZTTOaWVET1nKWQpTXEoa10bQqBtYpzCQa28mUAtlm9KNLt02L2hIm0SqR187CgVKMmLY0qcyJpcOfMmUK9AgTjGWDb43UpQPa8Mc2ZIRxmXC9cV1x+vEoK/9m7NSuIFCUZFz2f9m4PycgZLTRuNK0RkwE/Ad2anasnkTPbYY9RCHebmKZNTQEuGCMWF9eXYtDmSXYeywH+7cmInV3KkqPZKFPZiE8c0pgqG0j+tTQgOrUAqRz+f0g/lbWOxvQp38gQoeHY+C4KAyaEIXc2lzxO9uZKadtGT23GVvShqP9OfKfCyZNVI2eMtp6PAqb1iwSK+rCdsDE1hcVoYrLoUPaebEhIU0RWCcRkW00slwfGgpHL6/m35eCXcDexxGUtRUImQSMfBTwaz41rj2TqbPvki7rS7z77ruYNGkSLr74YjFAa8+ePbjsssvg4uIipkrVI4wiczScpDlSly5q4x0ODL/AuJDqMiB9O5C6BUjbCqRuBUrS1F/LQVoZ243Lv28eTxMIGweETwDCxwNh4wH/AboyrtbYZvq4OGFclJ9YMGuQWFdX34CkvDIcSC3Cnp0pSNiVgrxDmahLzhPG1aOgtO3Zs2rqRIWBeC6rdmJN4+rP3b+GR79ABA8JReyYvhg4NhLhw8IR0C+gVeTVXrDGNmOL2jAP1YUlraKioNZRL0ws0wnS01GbkSH+1qRniFxYsaSno6HCjNrTCjU1RgPcRq+pY58+cAoNhXNoCNyiHRA04BPAoQ6uaEBD6mog/Sfg1C1w8DfecNo7aTr7LrXb3c+BSq+88gq8vLw6tOPi4mLccccdYtapjpCcnIyPPvoI33//vQj/smSBu7u7SOR94IEHMG7cOLP209Pd/ceOHRPlLCTNkbr0gDZFqccNK/+yXmtN+ykxTbh6G40rDatiXv1ie8242nqbYdT1aFYpDiQV4MD2JKTsTUPh4Sw4prGea7H2DFrt4WyAe3QAggaHoP+oSAweF4Xw4WEIHhAMg7NtDrKzlzZjL9rQjtQVFhoNrDCtjUZW/J9unHnLnFm6NIi4IBVeg0vhYPLT1lAPlB71QfaWyU1m1ik0zPg3RPk/FAY/P7vowTjWC+2lS6P7DQaDmDUqODi4Q2/KWl7h4eFitH9v0NMmdd++fRgxYkSPvZ+1IHXpBW3qaoHsfceNK6OuuQc7tg9hXMcfj7b2oHG11zaTX1aNI1kl2H8kG4e2JyN9bxpK47LhmlkEz5xiOFd1crpCgyNcI/0QMCgEUSPCMWR8FCJHhCNkUIjZA7b0jr22GXvUpr66WuS+Ho/AMhprNLBKRLahUv1GL/bWOLj4ta5eUF3gjLjXWk9p2zJKLEwsB3spZlYxsSGhcAoOhlNgQK9WLLDW9tKlnFR62BdeeKHD02SxGKw9wbJctvRDYCmkLr2gjcEJCBtjXJTc1soiIGOHMVWAkVamAOQf095HVTGQuM64KLh4GnNcQ7mMMS7BIyw+OMte24y/hwsmxwSIBacPbfr9zSiqxKGMYuzbl4HNv+1AQ34dyhNy4ZpdDM+80rarDJC6elQl5SGdy28HsEVZz8kJgrzh3T8QYUNCMGBUBPqNjEDo4FD4RvqKKi7Wgr22GXvUxtEkpaDNaGxWlsiPreVAr8wM49/q5XCuT24VSa3McG33fUWqQnKyWLQPzlHUhxWGlUtIMJyVx2IJgVNwEAy+vrqNysbprL2YVSe1M2Jyt3ydjKTaN1IXHWtTUWg0rjSsinktiOvYPvhrHzD4uGkVy2jAM8R6ddExijb19Q3IKK7EsexSHDycjWO7kpF5MBMl8TlwziyCR15p59MGiIsT3Bh9HRCEyGHhGDg6ApHDwoSBdffRX8UI2Wa0kdqYULAbWDMJDfW1cEAdGkC3akCJ4UlUZbmjJksxtZki5aDejEpCncHB2bnRxIY0mtcgo5nl/0HHTa3Bs/tKcNlMJJXTXzEvNCAgoEMHXl1dLQrw2wtdnQLWVpG66Fgbd18gZpZxaWlclWgrzWtbxpVhCKYScNm34vh6z1CjYRWR10bjysoCjPLqXRcdo2jj6OiACF93scwcFATMG94UHMgrqxbm9VBcLo7sTEH6gQwUxWXDIb1QmNc+RWZceKtrURmfgzQuvx7AVpOnHH37wLNfAIIHBovI68BRkQgbGorA/oG9lvsq24w2UhsTOIr/tK1w2Ps4anL+hXPQCcDI/8FbY3R/XWmpMbUgMwu1WZmoycg0/uX/XJ+Vhfri4g4fRgMHfDWW72oLRw+PdqOyjNw6WvAz1lt7afeKwSL+zz77rBhxz5H2jzzyCKZPn25WGQOWSrEXOI+ttSSn9yRSFyvTRtW4FgCZu4DM3Y1/dxnruda3MTNNaSZw7BfjomBwAQKHGlMEQkYa/3LxiRK1QnWti05oTxv2XgV6uopFpA2cYpzXmxRX1iCO5jUpH4d3piL1QAYK43NQk1YA97xSeOSXwqmm/Z6v+sJyFO/ikoJjX23H701XVAc4h3jDKzoAITSww8LQf3gYQgaGIKB/AJxdndFdyDajjdSmBTSkM1bip9WrMX/G/DY3NXh6wjBgAFzb0K++rExULKjNykZtTraYDEFMiJB1/DEXpgt0lPqysrYnRGiEZbZYM1YsTDdQHgc3/9/R27vdnnG9tZd2TWpISAhefPFFPPjgg3j++ecxd+5cjB8/Hv/73/8wa5bJhawFrq6umDFjBuwFezLkHUHqYgPauPsB/U82Lgq11cboqWJaFQNbWaC9n7pqIGu3cdlrsp5lsRTDGjwCQ1xdgLIcwCOoW0/L3tqMt5szxkb5iQXTjw8SqamrR0p+uTCwRw5lIWFfGrKOZKEkMQ+OTB3IL4V7UXnb5bJIfQNqMoqQz2VLPJoN1XMADEFe8IoKQPCAIEQNC0PscA7eCkZQTBBc+rjYx3epF5DadK8ujHa69u8vFi2a8mSzc0yMa5bR3CrrsrJQy9meOKlLB6kvKUE1l/j49gd/NZpWQ5CJmW0yssGIdHcXkzawJq5VzjjFgvpLlizBm2++ieHDhwuzevrpp0NvyBmn9IHUxY604U9JUYrRrNKIKgaW07l2Bo9gINgk4solaCjg5gN7pafbTEllDRJyy3A0rQhH9qYjZX868o9loyIlH665JfDIL2t/4JYZOAZ4wjPKX8yy1Zf1X0eGI2xQiPjfzcvN/r5LFkRqYz26iGlp8/IajWvW8aisEqlt/L+uoI1ggCVwcED/b1fBbfDxnhirmXEqMDAQzzzzDO677z4RYV2wYIEIDTMN4D//+Q/slW3btumuwesBqYsdacNuJN8o4zLE5LegsthYEqtp2Qtk7QUq8treX1k2kPCHcTHFM8xoVpk6YPqXebA6HTFrrW3Gy80ZoyJ9xYJJ0U3rGdvIKq5CfE4pDsfl4NjuNGQczUJxYj5q0gvhXlCKPvllcK5qIyXEhPq8UhRz2ZkMZkD/afKcg7c7+kT4wq9fAEJjg0QaQd/BISIH1q+vHwxOBtv7LlkQqY316MLyVcw75QIY88w1y3DRyDK9IDdX1I5Vlrock//z8joVmWXAwcnfH3qg0/FcPz8/PPHEE7jnnnvw0ksv4YorrkDfvn2FWT3//PNhb9C8S1ojddHGbrRx8waiphgX06grTSjNqql5zd4P1JS1vb/SDOOSsLb5elef5qY1aJjxsW804GjdtQv11maY1xbq4yaWKQMCgdOMJbNIbV29KJuVmFeGo/F5SNyfjoyj2ShKyEVVeiFcOXirsAyu5eZFYBuKK1DG5WAGGGvZZvqkowOcgrzgGOiGI8uzETEoBDHDQhE6wJhG4BHgodtSP/bWZvSGNeviyDJcyvS07URmGXUVhpVmVhjbxsc5zR83m+nL0REGnZjUDnf3a8GpS+fMmYO8vDxcfvnlHZ5pytq7+5kGYc2NvruQumgjtVGhvh75iTvhX53WPPqae6jtgVpt4eRmLJNlamADBhmng3Xp+RIv9txmWDorq6QSSXnliEvKQ9z+DKQfzkJBQh6qUvPhQgNbUAbXsirLvKGbM1zDfeHd1w/BsUGI4mxcQzkLVxACogO6nAtrDVh7m+kupC7HoQ3kIC2a1bxjx8Cq+N6nnIKewqLd/S1JSkrCU089hU8++QQ1NTXiZC3ke62KjRs3Yv78tkcK2iNSF22kNio4OuKvvalGXUxTBupqjJMP5DSWu1L+0ry2NwVsbeXxAVst8Y40GlaxDD7+2LefWeWyehprbzMsnRXm4y4WUX3g5EFNzynls5LyynAsuRBx+9ORfiQLeYl5qEwrhENuCdwLy0UJLcc6M7swK2tQFZ+DHC7rj2B/i6eZSuAW5gOfSD8E9Q9A5MAQRA8KRmD/AGFi+/j2gbVj7W2mu5C6HIe9DaKSgacn/t2zR1e6OHXFnD755JPCnNbW1oofmMGDB+Phhx8Wear2hoeHdUVkegqpizZSmw7oYnBu7MI/3q0sYL5VUXJz46r8rchv/82KU41Ly9QBRyfjNLBNBtZk8QrrtdxXW24zpuWzxkf7A9Njmj1fVlWL1IIKJOWWIv5oDpIPZyInPhfFSfmozCiAa0G5MLEdmcSAqQQVXA5nIhPNi04I3F3gEuoN7wg/UUYrIjYI0YNDEBITKEysV7CX7tMJbLnNdAWpi3Xo0uHu/sTExKbIqZo51ctUej3d3c9pYDs6daw9IHXRRmrTjbqInNec46aVdV2VxyVtF9BuF04Py4kJAgcb/zJtwD/WaGo501Y3mhbZZtQpKSlBlYOLKKWVmFmC+IMZSD+SjbzEXJSmFKAuqxhuhWXCxDpX11rujZ0NcAr2hme4D/w5sCuGJjYYEQOChYn1CfPptQkOFGSbUUfqoh9d2vJrZptUmlNGTj/99NNm5pQDpS6++GLdmNPeMqmrWRhYRyFyvSB10UZq00u6VJUaUwfyDgN5R44vuYeBqqKu7dvZ47hhbfrbaGK9+3Y5hUC2mc7pogzmSs4vQ0JCHhIPZSEzPgcFSfmoyCxCQ04p3IrL4V5UYXZFAnNoYDeqXx+4hTAa64uAKH+ExwSi74BgBPcLENUJvEO84WjovuunbDPqSF30o0uXclI54xTN6bJly1qZU0ZOtbo6CgoKcN5552Ht2hbdaDaKk04K3+oNqYs2Upte0sXVEwgbY1xM4f16eW5z49q0HAXqzBjMw8oEWXuMS0uYQuDbv7mJpYHlY78YwLn9eqCyzXROFyeDI/r69xHL1AFBwClDmj1fXUsTW4G0ggokphYg6XA2suJzUZCch7L0ItRmF8O1iCa23OyqBMSBA1Lyy1DO5WCGSClomRcLgwMM/p7CyDI3NjDKH2ExAYgaGIyg6AD4Rfp1Ka1Athl1pC7WoUu7kVQXFxfU1dUJczpkyJAmc9oeWVlZCA8PF6/tDWR3vz6QumgjtbEiXerrjLmrSsRVGNfDxohsYRJrvXT9PTiISxjW/kYzy8FbymPmwToa9KmNDuhuXViVIKe0SuTEJmcWI/FwFjLic5CXlI/S1AJUZxXDuaAMbkUVcCutaH92ro7i5AhDoBf6NObHBkX7IyI2EH1jgxEY7Q/fCF9RbkutR1O2GXWkLjbS3c9Gzzs4f39/nHnmmWZ361dUVODLL7+0G5O6Zs0anHbaaT32ftaC1EUbqY2N6MLKAxy8RcOaHwcUxBn/8n/OtlVrUn+wszg6i3qvuXXeCIwd32he+xkNLB9zdi6dD+Cx5TbDy2hxRS1SC8uRkl2KhGPZSDuWi9ykPBSnF6IyqxgNeWVwK6mAW3GFRWbpUjWy/h5wC/aGV5gP/CJ8ERLlj4LyTMw5a6Ywsr7hvnZRdssa2oxeWdMLunS5BNXkyZNFRJUj+s2lurobvoQ6prLS/BGl9oTURRupjY3owsoDous+tvVzjAGUZDQaV1MT2/i40szpDVkjNv8YRFXHHTtaP+/k3mhaTaKvTY/7Ae7+Nm1ie7vNMJDj08cZPn18MDzcBxjTush6TV09skuqkFFYgZSsEqTEZSMjPg/5yfkoySgSRhb5zI2lka3seG5sbT3qsktQxmVfmkgtONj41O4XTKZA8HCBM6OyTC8I90FgpB9C+wUgMjYQgX2NUVkvTpDQjXmyeqC324xeqdSZLmZFUjMzMxEspukyH74mIiLCbiKphYWF8PX17bH3sxakLtpIbdSxK10qCkyiro0R2MJEoDABKEqxTBoBcfEyzrzlE9ViaVznFa7LurD21maYG5tVXCkGeaVkFCHlWA4y43ORn2I0stXZxYASkS2pgFN191xfG5gn6+sB1yAveIZ5wzfCD8F9/cSgr7AoPxGRZeUCD3/rndHLVtqMLejSpUhqdHQ0DIaOl9BwdXXFjBkzYC/s2rULJ510Um8fhu6QumgjtVHHrnRx9wMiJhiXltTVGvNgaVhpXAsSkHl4C0JdK8RjlKTTTpj3PtUlx2fvUsPBEfCKaG1iTY2tmw/0iq20GRen4wO8Jvb3B6b0b7VNVW0dsoqqkFZYjtS0IqTE5SAzKR+FqQUozSxCVU4pGgrK4CKMbCVcyqrQURvpUNeA+rxSVHA5lIEcAEfVNjQ4wtGvD1wDPeER7C2Ma0CEL0JZxSDaH36RRjPrHezd66W4bLXN2LouZo3u7wx+fn5Yt24d7OnuQ9IaqYs2Uht1pC6NMLLpxy77fk2rthR/i7PPPtv4T22VMRe20cCamlnxtyzL/PdqqAeKU4xLykb1bVy9VSKxjQvLazEa69Q7+Y721GZcnQyICugjFsQGAjNap5nU1Tcgr7QKmcWVWP3zOoSFDEBmYh5yk/NRlFGE8sxi1OSWwpHVCkoqxQQITp2pH1tXj/rcUlRwOZSJXABxKps1OACOXu5wDvCAe5AXvEK94R/ua4zO9gsQf2lmubh6uKInsKc2Y826dLiYv7XQ0939TG8IDQ3tsfezFqQu2kht1JG6WEib6vLG1AGT9AGa2qIk419GYmlOLYlHCOAdYaxU0HJhpJZ/XSw/1ahsM53TprKmTqQXZBVXITWjCGnxuchKykd+WiFKMgpRmV2CurxSOBdXwrW0Aq5lVXCs72bL4OZsHAAW6AnPEG/4hvsgINwXIZG+CGXObJi3qC3LslzOrs6dfhvZZvSjS5cHTknMm+xANvjWSF20kdqoI3WxkDY0g8HDjItWVQIaVWFcWywsq0UzW13asQNk9JZLhsrgLgU3PxPzGqFuZpla0IFcR9lmOqeNm7MB0QEeYtFKL2Acq6iiRhjZDKYYpBQgIzEfuWkFKEovQmlWCarySlGbXwrnEppZY4qBU00n82Ura1CXXogyLixn2da2Hi5wYu5sgAc8gr3gE+wN/zAfBPWlofUT5paGlotS1eDwF7tQcOfjCMveiS3BY+H38qMYfOHozh2rDZKos++SNKkWgnVhJa2RumgjtVFH6tJD2rAqAXNOuajBTrbKInUT25VoLCsacMne2/bMXc3Ma4QxnUBZPMMAz9Cm9ALZZrTpqjYcGOXbx0Usg0O9gCEhqtvRzJZW1YoKBjklVUjPLEZ6Yj5yUvNRkF6EksxiVGSXoCa/FCgsF1FZLl0qx1VWjVouaQXC0Ga3ta2bM7xd3fBE0euIRQ2cUI+IjGTUXvQTvtv4GYZdMBpeIV7C0Lp5uVntgLCuorfvkuzut+DdR79+x3PHJEakLtpIbdSRuliRNko0lgO8itMa/5osJWnG5+s7ke9oDn0ChWktd/JDn6AYEyMbpmpm7RHdtZnGKgZ5ZVXILq5CVl4ZUpPykZ1SIKKzxRlFooxWdV4p6gvKRXTWpbxKRGcNdV1LTzkHRzEH64VBVaiFAb9jBlZhYNO6BmcDDD7ucPb3gHugJ7wCaV694B/qjSCmHoT7wDfMB55BnqJcV0/l0dpqe5Hd/XaYbKwXpC7aSG3UkbpYkTbtRWOV2brKsts2svxb24n6jJzGtjwXIss1bb32dn2CmhvXlmZWrA81no+Nobs201jFIMzHXSzo66taV9Z0koTsEubNViIzsxiZKYXITS9AUUYxSrJLUJ5bgur8MtQXVsCptBKujYZWLd1gMOKaGVTihDqxHiYm1aGmTgwIq+JyJAvtKuhigKN3Hzj79YFbgAc8Az3hHewFvxBvBIb7iHxa/1AfkUcrTK2nq24jtYU6ay/SpFoITnQwZkyLucAlUpc2kNqoI3WxMW0cDY1mMAyIOEF9G3boVeRrG1kupRlAZScvoOU5xiVrT9vbKWaWA8BoWsXS+LhpXQjgHsAi4rAGrLLNtJokwRkDQ7yAgUGa29LQllTVIrekCnll1cjMKkFmSj6y04pQkFmEkqxiHFqeiL5Vqa0iqYegMhFHR6imqS1BFZejQBHvmdrYvMHJAEcfNzj79oGbvwc8GKkN9oKvYmojfBAY7isitSzf5ebdc+kHemsv0qRaiMGDB/f2IegSqYs2Uht1pC52qA0vwH0CjEtoG4NYaiqMM3gxhaC08W9JBorSDsLHoez4uq6a2XaP12A0q6bGVTG1Lde5+fbqbF8222ZaQBPnzbxTN2fE0Mv28wcmNY/wHz59FGovmiSsKSOoNKh8VPLswzhxaDBy0gqRl16I4sxilOWUoCq/DDWF5UBxY8pBebXIoXXsYtqBQ22dmCa3mktcDooBZLQzuYKDlzucvN3h6tcH7v594BngCe8gY7Q2INQLweG+8A3xEusZye2ssdVbe9GdSS0qKsLSpUvx2WefIT4+HjU1NRg4cCCuv/56XHvttboNkUskEomkm3F2B/xjjIsJGYcOwWfIkHbMrNHQNj3uSmSWM4Ep+2kPg0tr49oyUusRbIzicnIHeY3rNjiK/zC2Gkf3Z+1ARsg4+L30P1zYzuh+TmlbUF6N/LJq5JVUISu7VBja3MwiFGYWoySHaQelqCooRy1NbUklnEXaAU1tFQy1XTS1dQ1isBn3XZucJwaJsSYt2jO2nm5w8nGHiy+NrYfR2AZ7wi/YC4GsghDuA79gb2FqFWOrN3RnUhcsWIANGzbgiy++wBlnnCFM6vPPPy9M6v79+/HKK69Ajxw+fBhDTH8kJQKpizZSG3WkLtpIbczURcPMqtaSFSbW1LxmGsto8a9YWFYru/NT1NZVH58ooT0cnYxmlabVQ/nbaGCVx6brXTzbNbWyzTRHlJu6cCVWr16N+fPnm/UaZ4Mjgr3cxAJWZ2oj7YDU1xvLdjHtgJMq5OSWIDOtCHnpRSjIUnJpS1GZXyaMZ32x0dQ6M1Jb3oXyXS2NbVEFarkk56McQB7aN7YN7i5w8ffAratvxpAxkehtdGdS6+vrcdddd+HMM89sml714Ycfxs8//4zXXnsNd955p+5GKirTx0paI3XRRmqjjtRFG6mNhXVhLVn/WOPSFvX1QEVec+OqZmb5l4O5zJ2uttX71BpNMxdzcHLTNrCN64d4s+RTsvE5mndJt3+XHB0d4OfhIpYBwZ5ATECb2yv5tPml1cLYZueWIouR2owiFGQUozinBGX5ZagsYPpBhTC1jmU0ttVwrqSxrbbIJAs0tg6lVagtrUKdkz5yrnVnUi+55BJMnDix1frJkydj06ZN2L59uy5Nqq+vb28fgi6RumgjtVFH6qKN1KaXdOEgKWEAg4CQkW1vW1drzGttz8xyHQeLdQVWRGgnSisyDJXCB4y8NovMBhnLeCkLB4SZ/s98WisZIGbN3yXTfNp+gR5AtB8wvm+7ZbwKy6tRUF4jorW5uaXIzihCfkYRinJKUZJTirK8UlQWlgtjW1dcIQwo0w+cK5iGUNNmbm1EXz/oAd2Z1Msuu0x1fXW1seCvv78/9Mju3bt1aZ57G6mLNlIbdaQu2khtrEAXg9PxagbtUVttTCWgqeVfsZg8brY+G6hhp20X4AxiXArizdvewbG1cdVcGrdz9baKvFpdtZlOlvEK9nYTC+AFDAhs9zXMrS0srzHm14o0hFLkZBQjL7MYRdmM2JYiKzEDLg3O8NFJfqruTKoW27ZtQ3BwMKZMmQI9EhKiPguHvSN10UZqo47URRupjY3pwkkGfCKNizlUlx03seYYW+bDdgXOJmZuxYNmebXmmFolchtgVm6tpbHaNtMFmFsb5OUqFrCkV2xrY7tlyxbRc60XrMKksoufwr355psiR1WNF198USymBWlLS0uxfv161NbWYvbs2WIfZWVlmDp1Kg4dOoTc3FxMmDABmZmZSEtLw/Dhw1FZWYm4uDjExsbCzc1NDNaKiIgQc9nSKAcGBook9I0bN8LDw0N8mH/88QdKSkowYsQIsZ77mDlzJnbt2iWOg9twFgdONzZ69GixjrXIlFIPTGxnfgy7H3h3xy8P7/B4vFzHmmU8Dx4Pj72nzsnJyUmcR1fOyWAwiAR1WzonS31OUVFR4lht6Zws8TlxX3l5eTZ1TvL71L2f09GjR8WsNbZ0Tu1/ToOxP7kWEREjEdqv8Zz6m5xTnz6YPG441nzzKcK8DBg7OALxe7fCsSIXMSGeKEw/CoeKPPi51qG+NAdOVQUwNHTR1Dbl1TamNpj7EhhQ7+qDejc/lNS6wOAZCGfvEGQUVsPJOwSBkQNxMCkbBs8gDBk7BX9vPyC2nXby6di4aVOnPid+5tzG1n4jfLvY9rj/b7/9tkfPyaqnRWU3P4WjEN99953ZJah6elpUfqhnn312j72ftSB10UZqo47URRupjTpSFwtpw2oHjbN4tblwEBn/MoJbX4Neg1Fbd//GJeD4Y0Znm9Y3f25XcSoe37wEmxI2Y0rMFDw681GMbqs2r53xbS98l6x6WlTWRqXbX7Fiha5rpOopCVtPSF20kdqoI3XRRmqjjtTFQtqw2oFLFOAbZd72jHExx9UcY9u05HW+nJda1FZJbTCDXRyEzdxMB0ZvgdWHVuGnQ99ia9R0jPbtb6xTy8Fibn4qjxv/Z4UEHXsRW/su6TqSev/992PVqlX466+/Opw/0tORVIau9fbh6gGpizZSG3WkLtpIbdSRuliRNiznVVVkEpXNb77QxDZb1/h/ZydeMOFcGlMegonHNDQArJa60tydcHIGVROrYmiVx8rzVjCorLAX2otVRlKfeeYZfP75580Manq6cXaP8PBw6A3md5hbGNiekLpoI7VRR+qijdRGHamLFWnDklY0bVwCBpr/uvo6o1FtZmLz2je4JuZ2VwuDSuocgJ0dCdVxMBrLh3HpKKyWIMxsG4ZWzdy60eD6GAfa2Vl70aVJfeutt/Dqq6+Kmac4uETh3XffFX8XL14MvcFEYklrpC7aSG3UkbpoI7VRR+piB9o4GhrLXLVdGF/T3FbkY8x31yIpeQPqTSZbMMABY30igMDhxu0qC4CKAuNfphNYElZLUAx0Z3ByB9x8jpvWJsPbcp3G/2ZUUdBbe9Fdd//y5cuxaNEinHPOOWK0vCl//vknTjrpJLNMak9397OSgKenZ4+9n7UgddFGaqOO1EUbqY06UhdtpDbH2Z25G5Pen4Ta+lrUNdTB4GCAk6MTtl6ztfXgKVoj1qVVDKswuo2Pxd8Whtb0eT7uak3b7sDBsdG4mhjcFka2ysENrt4hwLDzjOt6AKvq7n/uuefE1KgrV64US0toUvUIQ+TKVK6S40hdtJHaqCN10UZqo47URRupzXFoRGlIH1//ODbGb8TUmKn438z/qY/uZ8TRxcO4mFvH1pTaKhPj2oahVXu+qhjdQkN94/sXaG7SVOSz/8k9ZlLbQncmlfWzrBFWIJC0RuqijdRGHamLNlIbdaQu2khtmkNDuvKilaLecLfmXjq5Ap4hxqWjiBSFouOGVjzm30LjoDPTdVr/05B2BUZXdYDuuvsthezu1wdSF22kNupIXbSR2qgjddFGamOHujSwNFhZCxNrhrGtLEJ9RQEcq0uAB4uMecA9gFV191srnLFhzpw5vX0YukPqoo3URh2pizZSG3WkLtpIbexQFwcHwNXTuKBjqQprf/9dV7o49vYB2AqcUkzSGqmLNlIbdaQu2kht1JG6aCO1UUfqYh26yO5+C8H5ezl3raQ5UhdtpDbqSF20kdqoI3XRRmqjjtRFP7q05ddkJNVCHDp0qLcPQZdIXbSR2qgjddFGaqOO1EUbqY06Uhfr0EWaVAvefUhaI3XRRmqjjtRFG6mNOlIXbaQ26khdrEMXaVItxIQJE3r7EHSJ1EUbqY06UhdtpDbqSF20kdqoI3WxDl2kSbUQmZmZvX0IukTqoo3URh2pizZSG3WkLtpIbdSRuliHLtKkWoi0tLTePgRdInXRRmqjjtRFG6mNOlIXbaQ26khdrEMXaVItxPDhw3v7EHSJ1EUbqY06UhdtpDbqSF20kdqoI3WxDl1kMf8usjVjC35J/BkjHEciJjYGjg7S95tSWVnZ24egW6Q26khdtJHaqCN10UZqo47UxTp0kY6qi/wQ/z22Z23DxxlLccPv1+HbY6tQyinFJIK4uLjePgTdIrVRR+qijdRGHamLNlIbdaQu1qGLNKldILUkBbtzdjX9n1mWgQ/3vY8r1lyO13e+ioSieNg7sbGxvX0IukVqo47URRupjTpSF22kNupIXaxDF2lSu4C3qw8WDl2EALeAZuur66rwa9Ia3L7uVjzw1334M2UdquqqYI+4ubn19iHoFqmNOlIXbaQ26khdtJHaqCN1sQ5dpEntAt4u3rho8MV479QPMQtzMCJgZKttDuTtx4vbX8AVvyzC27vfQlyhvkLp3c3+/ft7+xB0i9RGHamLNlIbdaQu2kht1JG6WIcucuCUBXBydMK0yOmiCG5iUSJ+SvgB61LWNoueltWUifVcYnxicUr0qZgZOROeLl6wZSIiInr7EHSL1EYdqYs2Uht1pC7aSG3UkbpYhy4ykmohQkNDxd9+Pv1w05hbsPS0T3D1iGsR6RnZatv4oji8s+ctXP7LIjz7zzPYkrEZNfU1sGVdJK2R2qgjddFGaqOO1EUbqY06Uhfr0EWaVAuxbdu2Zv97unhi/oCz8cbst/Hs9OcxJ+oUuBma53rQmG5M/xtPb30Sl/98Kd7Y9Rr25e5DfUM9bFUXyXGkNupIXbSR2qgjddFGaqOO1MU6dJHd/RYiMDBQdb2DgwOGBgwTyzUjr8PfaX/h9+RfcSj/ULPtSmtKsSbxF7EEuQdhRuRMsfTz7i/2YWu6SKQ2WkhdtJHaqCN10UZqo47UxTp0cWhoaGiADRIZGYnU1NQee7/c3NwOfbjJxcn4M3UdNqT8ieyKbM3tQj3CMCV8CqaGT8MA34FWZ1g7qos9IbVRR+qijdRGHamLNlIbdaQu+tGlLb8mu/stxMaNGzu0fZR3FC4bdjnePfUD/N/053B6v7nwcm49iIq1V785uhJ3r78T1/x6Jd7f+y4O5B2wmpSAjupiT0ht1JG6aCO1UUfqoo3URh2pi3XoIrv7LYSHh0enXsdpVIcFDBfLtaOuw86sHVif+ie2Zm4V9VZNyanIwXdxq8Xi7+aPiaGTcELoRIwKGg1XgytsSRd7QGqjjtRFG6mNOlIXbaQ26khdrEMX2d1vIUpLS+Hp6Wmx/VXWVmJH1nZsytiIfzP/QUVthea2LgZXjA4cLQzrhNATEOiuny4MS+tiS0ht1JG6aCO1UUfqoo3URh2pi350kd39PcAff/xh0f25OblhSsRU3DPhPnx6xnI8POl/mNV3NjycW9/lMOL6b9Y/eHP367hqzeVipqtlBz4Vg7PqGupgS7rYElIbdaQu2kht1JG6aCO1UUfqYh26yO5+C+Hk1H1SuhhcMDFsklhq62uxN3cPNqdvxrasf5FbkdNq+4SieLF8eeRzeDp7inSAMcFjMSZoLEI9Qm1GF2tHaqOO1EUbqY06UhdtpDbqSF2sQxfZ3W/FIXJ+dInFiSIdYFvWPzicfxgNaPvjZLWAsY2GdWTgKFHPtTuRXSraSG3UkbpoI7VRR+qijdRGHamLOrK730bpjRFxLEfV36c/Lhx8EZ6bsQQfn7EMt4+7E1PCp8LdyV31NawW8HPCT3jmn6dw6c8LcO/6u/Hx/o+wPWsbymvKbX6koJ6Q2qgjddFGaqOO1EUbqY06Uhfr0EVfcV0T6uvr8dJLL+Ghhx7CAw88gMWLF0PPVFZW9vYhwNfVF7Oj5oiFaQGH8w9hZ/ZO7MrZiWMFR1GP5mWrWMbqcMEhsaw8+pWoNDDAdwCGB4zEiMARouKAWg6stemiV6Q26khdtJHaqCN10UZqo47UxTp00WV3f2JiIq644gokJCQgOTkZjz76aIdNak939xcWFsLX1xd6pbS6BHty9mBnzg5hXLPLs9p9jSMcRaR2ROAoDAsYhiH+Q+Dn5m9TuvQmUht1pC7aSG3UkbpoI7VRR+qiH12srrt//vz5mPf/7Z0JeFTV+f/fJJM9ZCMJSQj7XhAQQXiAH5Sl+kdqgSo/rAq17c9ia7WLonYBsX3qUgV96gb6U1oU16egLLb+rQWsohRcQJZE1gCBBJJAlsme3N/zvjN3MjM5FwLezNyb+/3wHO7cc+/MnPnmzp3vPfc977n2Wlq1ahXZhS+++IKsTFJMF8kWcPvIO+j5b71AK6Y/T7eN+ClN7P5f0gOrgnteD1UcorcPrZPwgO//Yz7d+v9/SMt2PkqbDm+kQ+cOUXNLs611CSfQRg10MQbaqIEuxkAbNdDFHrpY8nb/pk2bxFlv2bKF7HT1YRc4ljU3KVfKNX1mygCsouoTtKd0D+0p+1KW5XVlyueW1JRI4QkHmLioOBqQNoAGpw+RMihtECXHpthSl1ADbdRAF2OgjRroYgy0UQNd7KGLJU0qG1S7MW7cOLIrbFrzuvSQ8v/6zBDTesp9ivaUfkl7y/bQ3tI9dLr2tPK5dc119GXpl1J0suKzqH/aABqQOoDSh3SVUAPuyQWd55jpSKCLMdBGDXQxBtqogS720MWSJtWOcBxtdnZoc5CGoqf1qt5XS11ZbZkMxNpfvp8Kzu6ng+cOyuAsFWxouWw76R0luJ8oJzFXBmX1Tx0gPa99U/pRQnQCOZnOdMyYCXQxBtqogS7GQBs10MUeunQak7p8+XIp/l3WnO9r69at1NTURNOmTaNPPvmE3G43TZgwgfLz86m0tJRGjx5NxcXFVFRUREOHDpWRbYcOHaJ+/fpRXFwc7d27l7p37y5/tJ07d1JGRgYNHjxY0jTwHLd81cEzNPC2YcOGST2/xuTJkyW2g9vB+/AfvqSkhEaMGCF1hYWFNGjQIGlrQUEB9erVS4KVd+3aRd26daPevXtLe7lu5MiR8jm4Pdz2UH0mTurLn8P/MzUcaKSu5zLojit/QdsPbqf88v1Un1JHh6sPUVVzleHf55T7pJR/F30g6xEUQcmUTJlRWXRF7yuo8mgVpTSn0rXTrqXt27eH9DOF6+9UVlYm7elMn8mMv9P69etFm870mcz6O+3evVv26UyfyYy/kx4i1pk+E75PHft3Onz4sLxHZ/pMvUz4O23evFk+Syg/k+1G9+twTOqUKVNsMbqfheYDwqnwYXSm9oykujpw7gAd9BZ3o/uiXqdLTDL1TelDvZP7SmYBLhyGEB0ZTZ0Npx8zRkAXY6CNGuhiDLRRA12so8v5/Fqn6UkNN1YLNg5HiEBWQpYUziKgG9fNO/9FrhyXx7SePUiHKg5SbVOt4etUNVTSrjO7pOi4IlzUo0sP6pXcm3om96SeXXpRj+Se1C2hm+R2tStOP2aMgC7GQBs10MUYaKMGuthDF5hUk+Bud+5OB4HGtepkNc0aM4sm5U32TSBwsrqIDpw9QIcrDtPRysN0pOIIVTZUGr5Ok9ZERyqPSPEnJiqW8pLyqGeXnmJaedkzuZcY5aiIKLI6OGbUQBdjoI0a6GIMtFEDXeyhC0yqSehxIeD8unDPp55JYApN9fW4lteV05GKw2JEj1Yckccnq0+2mSXLn4bmejpccUiKPzGRMfL6Pbyle1Ie5SZ1p9zEHIp1xZFVwDGjBroYA23UQBdjoI0a6GIPXWBSgSV6XLvGd5UyOnuMr76+qY6OVR2TnlbudT1eVUjHqo5TRf35b0c0tDQozSuTEZ9J3ZO6S8n1W9ql9xUAAABwCjCpJsEj63hkGzBPF+71HJA2UIo/lfUVYl6lVB6j497HFzKvTGntGSm7zgTOquGKdFFOYg7lJnpMK6ffyk7MoeyEbMqIz6CoSPMNLI4ZNdDFGGijBroYA23UQBd76GJJk/rII4/Q448/Tg0NDbL+2GOP0YoVK2j8+PG0du1asiKc+gGERhee0WpY7GU0LOMyhXk9TseqCul4pce4FlUXGc6e5Q/nfD1edVxKMNzDmpXQjbITs6lbQjbl8DIxWwwsG9lLzfeKY0YNdDEG2qiBLsZAGzXQxR66WNKk3nvvvVLsBOchA+HVxWNeU2hYxrCAes4mwPGtPGCLTStPAcvrvKxpqrng6zZrzb48r8r3jUkWA6v3vLKh1TMdcHhBTFSM8nk4ZtRAF2OgjRroYgy0UQNd7KGLJU2qHeHkuci5Zk1d4l3x1C+1nxR/eMBWRUOFmNcTVSfopLvIZ16L3cXU2NLYrtfnzARcvjr7lXJ7amyqGNbM+CzKTMiUaWMzE7Jo7xd76b9z/5sSo5MkLhdY55ixKtBGDXQxBtqogS720AUm1SR4dgdgL13YGLKB5PKNrkMDtnGqrLN15XTKXUwl7lNUXFMsxlVKTXG74l91ztWfk6IysW+9s1ZMNBvYrIRMMa+Z8ZnSA9s1jgeTZciAstioWHIKVj5mwg20UQNdjIE2aqCLPXSBSTUJK115WAm76sKpsjwGMaNN+ABT01hDJTUlVOIuplPuU1TiM7Gn6HTtaYlxbS8cjsBxtFyMSIpO8rQnrqsM5Er3LtnA6o+TOkmPrF2PmVAAbdRAF2OgjRroYg9dYFJNgue+nT17dribYTk6qy48WEqftjUY7oXlntPTNaclkwAvPY95eYbO1Jwmd9PFTRdb3VgtpbDSeJ5jzg+rG1ndvKbHpVFqXBqlxaZRelw6pcamUWJ0oqXNbGc9ZswA2qiBLsZAGzXQxR66wKR20mBjq+BEXbgXlg0hFyJ1Kg93o5ve+eAd6j20l5hW7n09wwbWa2TP1Z0970QGRvlhzzfAy9/MsnEVAxubRmliYtNlqRtZ3pYSmyqpuUKNE4+Z9gJt1EAXY6CNGuhiD10iNB490gnJy8ujEydOhHS+W6v9ca0AdLk0bZpbmulc/VkqrS2lsroyKq8to9K6UiqrLfOUOk/hWbc6Es5ckBaXLj2xKbEp3pJKKTGtj1NjUyg5JkVia83oocUxYwy0UQNdjIE2aqCLdXQ5n19DT6pJbN26lWbNmhXuZlgO6HJp2vDkAXpMrBF8fckhAB7TWtpqXmtLxdzywK+z9Wepor6CNLq0a1E9c0EhGYcZ+PfQGhlZWcb4mdrYFMPBYDhmjIE2aqCLMdBGDXSxhy4wqSYRF2edOeGtBHTpOG2417JLTBcpvVOMg925V5ZTbYlprTsrxjXwsWe9vP7s1+qZ5XCDM7UcsnCmXfvHRcV5258sPbb649NRpynyUOtn82zz7GNWb61dwfdJDXQxBtqogS720AW3+02iurqakpKSQvZ+dgG62EcbPhVwpgF/46o/PuftkfWUc3SuoaLDQw1UuCJclBSTJKa11cC2Gll/Y8vZDniQGC9jomI7hbm12jFjFaCLMdBGDXSxji643R+iLvKZM2eGuxmWA7rYRxs2cZy1gEv3pO4X3L+uqU6yGFQ2eMyrPJZlhdTxeoXf44tJy2VEk9bkyzt7MfAAMDarUmLYvHoeJ/rV+Zva1vUkS/XeWu2YsQrQxRhoowa62EMXmFSTaGr6+j/AnRHo0nm1iXPFUbaLp4PNblcvLU9Bq/fEesxrJVVJzGuV73FVQxWdLD9JFKNRVWOVpPMyAzbIl2Ju9WwNPjMbZGi5JHBxecx9oovXE7zr3u2uBIkxNuVz2PyY6SigizHQRg10sYcuuN1vErh1oAa6GANtzq8LG1SeNMHfwHLxrFdRVWMlVdbr9ZViatnwhiMM4ULwIDHdsHpMrMfMtta1Nbq8Ld7FS892HpjmdrtxzCjAd8kYaKMGuqjB7f5OnAB3+vTp4W6G5YAuxkCb8+vCPZjSaxnDJ8zcdj+/vrlejKubJ0Bo8EyCIKWh2lPXyEt3wDZ9Xx781RFwm7iUU/klv0ZURBS5NBclx/MAsgQJQ9BLnN9jLgm+xwkUHx0vg9R8z4n2bIuOjKbOAr5LxkAbNdDFHrrApJoE93CAtkAXY6BNx+jCvZax8bEyVezF0tDc4DOyASZWHrvbbKtpdEsYA/f48ixiZoUnqGjWmon/tTd7QnvidMW4soH1Gtdg8+szwFFxFOtioxsv+rLp5XCPWO9SSlScGN9wxO/iu2QMtFEDXeyhC273m0RpaSllZFz8j2JnB7oYA206ly58KuVQA7eYVja0bGBrfY9rm2rI3VhDNU28XuNdd4vB9RhdtzzXiuEK7SWSIinW5TGxYmq9y1ZTG+s1tGx+W/fTtweaX90Me3qC2VQbGWC7HjOhANqogS7W0QW3+0NAfn4+TZw4MdzNsBzQxRho07l0YQPFhouLZ0rcSx/k5TOtQWZ2T8Eeyu2dS7WNtZIujLd5lrVU11xHtbK/vq22w8IXjOCpfPX3JpO9Nod/SC95VKykFGt9HEO1lTXULSPbV6fXG+2vqo/11kdHxch7dRbs+n3qaKCLPXSBSTXx6gO0BboYA23UOF0X7jHkPK9cgqn4rJJmD5jd7tfiiRw8Rraujan1mVu/xzXBxleeVyNLNsEcVxsuOJTCZ4AVHDl1xLT34kFq7TK6rliKifQYXDa3MZHR3mWM7MPL6KhoeS5v47pofVvQ/h0VJuH075MR0MUeusCkmsTo0aPD3QRLAl2MgTZqoIt52nDqq6SYLlLMMooct8tGsb65juqa6r3m1WOC673rbGo9dZ6lZ73eZ3Z9pldfb663VJgD90BLL3Rj6N6T43mDTW2A4RWD6zG6ep3H8Brs732tpIGJtL9sn+/5Lt5P9vUuvcUquYBDBc4z9tAFJtUkiouLJa4CBAJdjIE2aqCLdbXh2+D6QKmOGBjGJldMrW5oJYyh3mdm2eiySa4PeFxPJ0tOUpe0Lt56T53/djbAep1VaWxplEIdkabyq/bN5sbG1WdiI11ibFvX/YrX4AZsi3K12c8VZISVr+fbxxXwPM5m0REUf1FMW3+/lQq3F1Kvsb1o8v2TKXvEhXM9O4Vii51/YVJNoqioyHJXIFYAuhgDbdRAF2dqw6ZEn/HsYnn77bdp1lWz2jW4jY1gq4nVzWtbM2tkcvU6//qGZjaYDbJNSksDNTY3ygxpdoHb6knkrg6nCMcFURvTG+kSk+tZekq0XhfRWucxwoHrvL2poImOziskrUnjAGrKfzufCjYV0JiNoyltaFrg/t7XjopQvJffa3eUmQ4XRRY7x8CkmsTQoUPD3QRLAl2MgTZqoIsx0Obr6cK3tPVb513InBCIC/UOs1n1mFY2tw1eM+sxtbLuNbX+5ta37rc/G2I22Pp+wdsauCfWbxu/t53h0BKze7/7PtyfUhvTKELzhja0ELU0tdC7S96lw/cevOSMFv6m1d/gynpEoLENMLoRLoqS9SivGfYsxRx7DbDLb+l5TpT3OYH1wfu2mmu/1/a1h18/SmmwrXaOgUk1ibq6unA3wZJAF2OgjRroYgy0sZcubAKiXFEUR+aHR7Rn0Byb2t17d1Hfgf18JleKmOTWwhklguv892tS1LFBbjR4nuwfVG8FEo4mtBpULxEtEZRw5OJ77/0zWvhimG1GBEWIWfWYZTa30aQ1tVDc4Xh6dNJjlPY1spSYBUyqSRw6dIiGDRsW7mZYDuhiDLRRA12MgTZqoEtbpKcsMopOHS2mK0eMDWtbOMyCwwkkBMLACIvh9fYGq8wyP69Ja/YsW5o8xlqW3nUOV/Cue+o9pZnf1/u4pV8LaWc0Maa+tkVqVNOnhpyIRppHJw6E9ut4r6yppAiLpGGDSTWJfv36hbsJlgS6GANt1EAXY6CNGuhibW04zCI6whNXGk6KM4rpf8f+r9zi15o1ioiKkJ7ue5+9jzKHZ7Y1uWJ8DUyxXqcFruvbG/1MspGh1uOWuddbr2uW7c0By2YOGwna1tHhHBxWYAVgUk0iLi70t3PsAHQxBtqogS7GQBs10MUYaNMKj+L/n+3/I6P7T+w4QXlj8mjyktbR/RyrSWEIzbjU3ulm6VnWzbDncWAdL5uDlroZblYa5OIzJZSWniqzvlkBmFST2Lt3L/Xv3z/czbAc0MUYaKMGuhgDbdRAF2OgTSBsSOf9bZ4nI8SsC2eEsCoRERG+QVBm8vaet2nWOOvoYo2gg05A9+7dw90ESwJdjIE2aqCLMdBGDXQxBtqogS720MWyJvXVV1+lkSNHUlZWFvXp04ceeOABbw43a5KdjWTAKqCLMdBGDXQxBtqogS7GQBs10MUeuljSpK5cuZLmz59PS5YsodOnT9PGjRtpxYoVdMstt5BV2blzZ7ibYEmgizHQRg10MQbaqIEuxkAbNdDFHrpYzqSWlZXRokWL6KabbqLvfve7vuSy3JO6Zs0a2rx5M1mRjIyMcDfBkkAXY6CNGuhiDLRRA12MgTZqoIs9dLGcSX3zzTepqqqK5syZE1Cvr7/44otkRQYPHhzuJlgS6GIMtFEDXYyBNmqgizHQRg10sYculjOpH3zwgSyHDx8eUJ+ZmSmxEvp2q/HRRx+FuwmWBLoYA23UQBdjoI0a6GIMtFEDXeyhi+VM6oEDB2SZk5PTZhvXHT9+nOrrzZvL1ywSExPD3QRLAl2MgTZqoIsx0EYNdDEG2qiBLvbQxXJ5UisqKiT/V3x8fJttCQkJksC2srJSelb9Wb58uRSdc+fOUXV1NW3dulWyAkybNo0++eQTcrvdNGHCBMrPz6fS0lIaPXo0FRcXU1FRkcS+8hzQPMUez9LBSZA5xxynZOBeXA4o5ngN7g7nqw3+Y44bN47ef/99amxslPfjen6NyZMn0xdffCHt4H2OHj1KJSUlNGLECKkrLCykQYMGSVsLCgqoV69elJqaSrt27aJu3bpR7969pb1cx1kO+HNwe7jtofpMLpdLPsfX+Ux8YcH56DrTZzLr7zRkyBBpa2f6TGb8nfh1Nm3a1Kk+E75PHft3OnPmDJ04caJTfSZ8nzr278QegvfpTJ+plwl/p5aWFnrrrbdC+pnOR4TGrs9CDBw4kA4ePChCBTNx4kT5oDziP9ikBpOXlycnrVBh98TAHQV0MQbaqIEuxkAbNdDFGGijBrpYR5fz+TXL3e5PSUmR3tLa2to222pqamSZnJxMVoOvFkBboIsx0EYNdDEG2qiBLsZAGzXQxR66WK4n9cYbb5RE/tyt3Ldv34BtfKsrOjqajh07dsHXCXVPKt/qT0pKCtn72QXoYgy0UQNdjIE2aqCLMdBGDXSxji7n82vWssxENGnSJDGpu3fvDjCpHHPE8RE333xzu16H9+cPHipwwKuBLsZAGzXQxRhoowa6GANt1EAX6+jCfs0Iy5nUuXPn0j333EPr1q2j2bNn++p5nfnhD3/YrtcJdQaAUPfc2gXoYgy0UQNdjIE2aqCLMdBGDXSxhy6Wi0nt2rUr/elPf5LZpdauXSt1+/bto/vvv19moZoyZUq4mwgAAAAAADoYy/WkMrfddpsMjuKpUPkxp55auHAh/e53vwt30wAAAAAAgFNNqj6Aiotd+NWvfhXuJlgS6GIMtFEDXYyBNmqgizHQRg10sYculhvdDwAAAAAAgOViUgEAAAAAAIBJBQAAAAAAlgMm9RKoqKigJ554gsaMGSPZCHiQ1xVXXEHPPfeczJblZKqqqmjlypU0c+ZMyXOblZVF/fv3lwFwPAcwaIXnV+bJKXh+ZafDGvAc0MEF2pB8b2699Vbq06ePTAfN82V/5zvfoY8//picytKlSyWXo+qY4XoebOtUOOfkL37xC5linM+/PNf6j370I0ulFQoHPFf8L3/5SzmnpKWlyTz39957r28mS6fQ0tJCy5Yto7i4OPkeGfHpp5/S9OnT5Rji79Utt9xy3nymHQbHpIKLY8aMGVpiYqK2ceNGrbm5Waurq9P+8Ic/sDvV7rzzTs3JbN682adDdXW11H322Wdajx49tO7du2vl5eXhbqIl4OPmyiuvFK169eqlOR1ooKagoEDLzMzUli5dqrndbql7//33tfj4eO3xxx/XnMr9998vRcW0adO0G2+8UXMifM7t16+flpeXp33++edSd/jwYe2yyy7TsrKytOLiYs2JVFZWakOHDtX69Omj7d69W+o+/fRT+U2aPn26nI+dwJEjR7TJkydrPXv2lN8eo+8Q/2bzOWbRokVaY2OjVlZWJs8bMmSIaBlKYFIvgauvvlpbvHhxm/rx48drERERciA42aTyCTL4S//ss8/Kl+L5558PW9usxJNPPqmNHTtWzDsMGkyqipaWFm3MmDHadddd12bbfffdp73yyiuaU3nppZekBHPs2DEtMjJSe++99zQnsnr1ajnPPvXUUwH1GzZskPo//vGPmhP5/e9/L5//jTfeCKh/4YUXpF51LHVGhg8frj322GNyoXs+k8pehg19U1OTry4/P1+es2TJkhC2WNNwu9/E9Fjjxo2T2/3cTe5ULr/8cvrHP/5BkZGBh1aPHj18oRJO5+TJkzI5BYdFBOsEgM6WLVtox44d9IMf/KDNtoceeoi+973vkVPh6bFVU2S//PLLEg4xdepUciJ6SJX/lOIM3/Jnjh8/Tk7k73//uyy/+c1vBtR/61vfkuVf//pXcgKbNm2iu+6667y/O/n5+bRt2zYJKYqKivLVDxo0iL7xjW/QqlWrKJTgF/ISWLBgAQ0ePLhNfUNDgyzT09PJqaSkpNDQoUPb1H/++eeynDBhAjmdO++8U4zHiBEjwt0UYGHWr18vS453B+1j9erVcn526sXfsGHDZPnVV18F1Ovrqt8tJ6DHUgb/NnO8JbN9+3ZyypSnF+KDDz6Q5fDhw9ts4zq+0Dly5AiFCmd+kzuInTt3ykE/fvz4cDfFUgOpuHfjkUceocWLF0tvs5PhK1nuHePZ1EAgv/nNb+QCp1u3bjRkyBC54i8rKyOnsnv3boqIiJABH3PnzpUewpycHJo9e7bvog+08p///Ed6gXiAh1PhAavXXXednG+5N4wHyezdu5d+/etfy10uHoDnRHiAM1NaWhpQr59f+Hfq7NmzYWmb1Thw4IAs+VwTjF6n7xMKYFJNgm/xf/LJJzJaLjY2NtzNsQRz5syh1NRU+vGPfyy3t9mkOhm320233347PfXUU5SYmBju5lgKNmM82pR/WHkU8tNPP01vvPGGZNAIy4hSC1BSUiK6TJkyhWbNmkWHDx+Wcwz/mPIdCb7YAYG9qBMnTpRsIk6Fj5dXX31VwtEmTZpE8fHx0rs6cuRI2rx5s2OzHui39f/5z3+2CanxPz8D8oXkqY4VvS6UYXswqSbAt/k5xdK3v/1tWQIP69atk/QeGzdulPhL/gFxquFg2KiPGjWKrr322nA3xXKw4VqyZImEi3BaLo4pfOaZZ+S20vnSpHRmamtrpSeMY8M4/pIvfjltzl/+8heqr6+nRYsWhbuJloHPwa+99poyftdJsHnguMu33nqLPvroIzn/ck9qQUGBmFanpgHkqT45hdt9990nqduamprkFv9vf/tbSUfFONXAWx2YVBPgWyh80PMVLF/Jglb4h5UNx0svvSS34/gk4dScqC+++CI9+eST4W6KJcnIyGhTd80115DL5ZIQCSei/2gGD/bgH9sBAwbQhx9+KEYWeMJoWAsOi3AyDz74oNyN4Ls1Y8eOlYEvPNiFe5k5fOSee+4hJ8JGlHWZMWMG3XDDDZSbmytacG5zjtPl3ym+QAbk00GVP1avC6VWrpC9UyeFkwHzldm///1vSSIN1HAsKuvDI/+dyDvvvCO9YsGDYPSeZU6WzHCPM9/aBSQ/sBxLdvr0aXIiPXv2pD179vji6fzhpP7cO1ZeXi6xqk6HR2dff/311KVLF3Iy//rXv2TJd6384VhvNmrvvfceORU+x7IpDYbD0Vgf/5HsTmbAgAGyPHXqVJttel0oQ2pgUr8GnAaGbzGxQeXBHnp6IYav1JzI2rVrZQThlVde2WYbxxw6NTidBy5wCUafUeno0aPkVDgurLGx0Rc3ptPc3CwDG1QB/E6Ae8L44kZl0nkACP+oOjmTiA4fI6zTu+++S07nfHGVnPGguro6pO2xw7Fz7NgxRw+2C4bDQhjueQ+G6zidZHCKs44Et/svkWeffZb+/Oc/SyA293jo8JWa6mrNSWlz+NZSMPv27ZMfVh5hCkCwSVWFQbDp4DCaq6++mpwID37hcIfgwR48sOzgwYMyoIoHxjgdDrPi3uTgsAgnot+pCU6pxKOx2ZA5NZ0Z33VQHR+c85MHsWIsSSsc/sAZivi3nDsK/DXk3/FQx33DpF4Cr7zyCv3sZz+TEbZr1qyRgR168R8t6FTYpHMMKveO6Vdf/IMbExMjMVMABLNhwwaJo+MBMDwhBofQcCYE7kV16sApvqXGve9swl5//XUJF+ELPZ6HneNVly9fHu4mWuZW//e//32MB/CmceOQh5///Oe0f/9+qeO8lmws+ILHqanvOF5569at9Oijj8r3iAtnD2E9eKyAficUeOBzcXFxsZx/uKOA74AuXLhQDOzdd99NISWk81t1EkaMGCHTgxkVo6nGnEBhYaH2wAMPaKNHj9ays7O11NRULScnR5s7d67MlQw8DBw4UOvWrZtM4ciFH/ft21dzIqdPn9aWLVumTZgwQcvNzZVjhueWXrhwoVZUVKQ5nRUrVmjDhg0TXTIyMuS7tH///nA3yxLs27dPpqLm+elBqybz5s3TsrKytJSUFC09PV275pprtA8//FBzKiUlJdr8+fPlHMvfI566e+bMmdrHH3+sOYmHH35YfmvS0tLEqyQmJsr6nDlz2uy7Y8cOberUqVpmZqbss2DBAjlXh5oI/i+0thgAAAAAAIDzg9v9AAAAAADAcsCkAgAAAAAAywGTCgAAAAAALAdMKgAAAAAAsBwwqQAAAAAAwHLApAIAAAAAAMsBkwoAAAAAACwHTCoAAAAAALAcMKkAAGATeP5xnv7Tv7z88svtfv7DDz/c5vm33HJLh7YZAAAuFZhUAADoAMrLy2np0qU0ZswYSklJoZiYGMrJyaFRo0bR/PnzaeXKlZSfn39Jr/3EE0/QqVOnpFx//fXtft4dd9zhe95dd911Se8NAAChwhWydwIAAIewb98+mjZtGrndbrr77rtpxowZlJ2dTdXV1bRjxw566KGHpAd06NChtGfPnot+fTa9/HoXS2JiohQmKSnpop8PAAChBCYVAABM5tZbb6Xi4mJ67bXXaN68eQHbhgwZQldddRVdfvnlYWsfAADYAdzuBwAAE6moqKBt27bJY+5BVcG9oMHmFQAAQCAwqQAAYCItLS2+x0VFRYb7LV68mP72t7+FqFUAAGA/YFIBAMBE0tLSKDc3Vx7/5Cc/oZKSEuV+Xbt2pUGDBoW4dQAAYB9gUgEAwGSWLFkiy61bt1KfPn3o5ptvprVr11JVVVW4mwYAALYBJhUAAExm4cKF9PTTT1N6ejrV1tbSmjVr6LrrrpPe06lTp9IzzzxDlZWV4W4mAABYGphUAADoAH7605/S8ePHJdUU5zJNTU2lxsZG2rx5M91+++3Ur18/2rBhQ7ibCQAAlgUmFQAAOoiEhAS66aab6M0336TS0lK5/c9xqlzP6zfccAMVFhaa9n6cm3Xw4MEBZcGCBaa9PgAAhBKYVAAACAFRUVE0adIkudX/5ZdfygCrmpoaevXVV017j0OHDlFBQUFAOXbsmGmvDwAAoQQmFQAATObBBx+k7du3G27v27ev9KIyR48eNe19+bU0TQsoW7ZsMe31AQAglGDGKQAAMJnnnnuO6uvraezYsYb7xMXFyTIzMzOELQMAAPuAnlQAAOgAVq9eLbNPqaiurqZ169ZRREQEzZkzJ+RtAwAAOwCTCgAAJsPmk2+9jxs3jlatWkX79u2jEydO0GeffSa9rKNHj5btS5cupVGjRoW7uQAAYElwux8AAExm27ZttH79ehnNv2zZMklFxb2nfIs/Ly9PzOsLL7xAEyZMCHdTAQDAssCkAgCAyeTk5EhCfy4AAAAuDdzuBwAAAAAAlgMmFQAAbMZtt91GSUlJUl5//fV2P2/58uW+53GaLAAAsDIRGifSAwAAYHmKioqotrY2oC47O1tMZ3s4d+6czHTlT3JyMmVlZZnaTgAAMAOYVAAAAAAAYDlwux8AAAAAAFgOmFQAAAAAAGA5YFIBAAAAAIDlgEkFAAAAAACWAyYVAAAAAABYDphUAAAAAABgOWBSAQAAAAAAWY3/AyY3Ygd5dEb/AAAAAElFTkSuQmCC", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "S_var = np.linspace(2.0, 10.0, 1000)\n", "\n", "Dn50_vdm1988_var = vandermeer1988.calculate_nominal_rock_diameter_Dn50(\n", " Hs=Hm0,\n", " H2p=H2p,\n", " Tm=Tm,\n", " N_waves=N_waves,\n", " cot_alpha=cot_alpha,\n", " P=P,\n", " rho_armour=rho_armour,\n", " S=S_var,\n", ")\n", "\n", "M50_vdm1988_var = core_physics.calculate_M50_from_Dn50(\n", " Dn50_vdm1988_var, rho_rock=rho_armour\n", ")\n", "\n", "Dn50_vdm1988_mod_var = vandermeer1988_modified.calculate_nominal_rock_diameter_Dn50(\n", " Hs=Hm0,\n", " H2p=H2p,\n", " Tmm10=Tmm10,\n", " N_waves=N_waves,\n", " cot_alpha=cot_alpha,\n", " P=P,\n", " rho_armour=rho_armour,\n", " S=S_var,\n", ")\n", "\n", "M50_vdm1988_mod_var = core_physics.calculate_M50_from_Dn50(\n", " Dn50_vdm1988_mod_var, rho_rock=rho_armour\n", ")\n", "\n", "Dn50_es2020_var = etemadshahidi2020.calculate_nominal_rock_diameter_Dn50(\n", " Hs=Hm0,\n", " Tmm10=Tmm10,\n", " N_waves=N_waves,\n", " cot_alpha=cot_alpha,\n", " rho_armour=rho_armour,\n", " S=S_var,\n", " M50_core=M50_core,\n", ")\n", "\n", "M50_es2020_var = core_physics.calculate_M50_from_Dn50(\n", " Dn50_es2020_var, rho_rock=rho_armour\n", ")\n", "\n", "Dn50_vdm2021_var = vandermeer2021.calculate_nominal_rock_diameter_Dn50(\n", " Hs=Hm0,\n", " Tmm10=Tmm10,\n", " N_waves=N_waves,\n", " cot_alpha=cot_alpha,\n", " P=P,\n", " rho_armour=rho_armour,\n", " S=S_var,\n", ")\n", "\n", "M50_vdm2021_var = core_physics.calculate_M50_from_Dn50(\n", " Dn50_vdm2021_var, rho_rock=rho_armour\n", ")\n", "\n", "Dn50_svl2025_var = scaravaglione2025.calculate_nominal_rock_diameter_Dn50(\n", " Hm0=Hm0,\n", " Tmm10=Tmm10,\n", " N_waves=N_waves,\n", " cot_alpha=cot_alpha,\n", " rho_armour=rho_armour,\n", " rho_core=rho_core,\n", " S=S_var,\n", " M50_core=M50_core,\n", ")\n", "\n", "M50_svl2025_var = core_physics.calculate_M50_from_Dn50(\n", " Dn50_svl2025_var, rho_rock=rho_armour\n", ")\n", "\n", "plt.figure(figsize=(10, 5))\n", "plt.plot(S_var, M50_vdm1988_var, label=\"Van der Meer (1988)\")\n", "plt.plot(S_var, M50_vdm1988_mod_var, label=\"Modified Van der Meer (1988)\")\n", "plt.plot(S_var, M50_es2020_var, label=\"Etemad-Shahidi et al. (2020)\")\n", "plt.plot(S_var, M50_vdm2021_var, label=\"Van der Meer (2021)\")\n", "plt.plot(S_var, M50_svl2025_var, label=\"Scaravaglione et al. (2025) - shallow water\")\n", "plt.plot(\n", " S,\n", " M50_vdm1988,\n", " marker=\"o\",\n", " markersize=5,\n", " color=\"blue\",\n", ")\n", "plt.plot(\n", " S,\n", " M50_vdm1988_mod,\n", " marker=\"o\",\n", " markersize=5,\n", " color=\"orange\",\n", ")\n", "plt.plot(\n", " S,\n", " M50_es2020,\n", " marker=\"o\",\n", " markersize=5,\n", " color=\"green\",\n", ")\n", "plt.plot(\n", " S,\n", " M50_vdm2021,\n", " marker=\"o\",\n", " markersize=5,\n", " color=\"red\",\n", ")\n", "plt.plot(\n", " S,\n", " M50_svl2025,\n", " marker=\"o\",\n", " markersize=5,\n", " color=\"purple\",\n", ")\n", "plt.xlabel(\"S [-]\")\n", "plt.ylabel(\"M50 [kg]\")\n", "plt.grid(visible=True, which=\"both\")\n", "plt.legend()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Stability - Concrete Armour Units\n", "\n", "Below, we compare the required mass of different concrete armour units to be used in the trunk of a breakwater under the same hydraulic load conditions. " ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "([0, 1, 2, 3, 4, 5, 6, 7, 8],\n", " [Text(0, 0, 'Cubipod'),\n", " Text(1, 0, 'Tetrapod'),\n", " Text(2, 0, 'Cubes single'),\n", " Text(3, 0, 'Cubes double'),\n", " Text(4, 0, 'Core Loc'),\n", " Text(5, 0, 'Accropode'),\n", " Text(6, 0, 'Accropode II'),\n", " Text(7, 0, 'Xbloc'),\n", " Text(8, 0, 'XblocPlus')])" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "M_cubipod = cubipod_hudson1959.calculate_unit_mass_M(\n", " Hs=Hm0, rho_armour=rho_armour, rho_water=rho_water, KD=12.0\n", ")\n", "M_tetrapod = tetrapod_hudson1959.calculate_unit_mass_M(\n", " Hs=Hm0, rho_armour=rho_armour, rho_water=rho_water, KD=8.0, cot_alpha=cot_alpha\n", ")\n", "M_cubes_single = cubes_single_layer_vangent2002.calculate_unit_mass_M_start_of_damage(\n", " Hs=Hm0, rho_armour=rho_armour, rho_water=rho_water\n", ")\n", "M_cubes_double = cubes_double_layer_hudson1959.calculate_unit_mass_M(\n", " Hs=Hm0, rho_armour=rho_armour, rho_water=rho_water, KD=7.5, cot_alpha=cot_alpha\n", ")\n", "M_core_loc = core_loc_hudson1959.calculate_unit_mass_M(\n", " Hs=Hm0, rho_water=rho_water, rho_armour=rho_armour, KD=16.0, cot_alpha=cot_alpha\n", ")\n", "M_accropode = accropode_hudson1959.calculate_unit_mass_M(\n", " Hs=Hm0, rho_armour=rho_armour, rho_water=rho_water, KD=9.5, cot_alpha=cot_alpha\n", ")\n", "M_accropode2 = accropode2_hudson1959.calculate_unit_mass_M(\n", " Hs=Hm0, rho_armour=rho_armour, rho_water=rho_water, KD=16, cot_alpha=cot_alpha\n", ")\n", "M_Xbloc = xbloc.calculate_unit_mass_M(\n", " Hs=Hm0,\n", " rho_armour=rho_armour,\n", " rho_water=rho_water,\n", ")\n", "M_Xblocplus = xblocplus.calculate_unit_mass_M(\n", " Hs=Hm0,\n", " rho_armour=rho_armour,\n", " rho_water=rho_water,\n", ")\n", "\n", "plt.bar(\n", " [\n", " \"Cubipod\",\n", " \"Tetrapod\",\n", " \"Cubes single\",\n", " \"Cubes double\",\n", " \"Core Loc\",\n", " \"Accropode\",\n", " \"Accropode II\",\n", " \"Xbloc\",\n", " \"XblocPlus\",\n", " ],\n", " [\n", " M_cubipod,\n", " M_tetrapod,\n", " M_cubes_single,\n", " M_cubes_double,\n", " M_core_loc,\n", " M_accropode,\n", " M_accropode2,\n", " M_Xbloc,\n", " M_Xblocplus,\n", " ],\n", ")\n", "plt.ylabel(\"Unit mass [kg]\")\n", "plt.xticks(rotation=45, ha=\"right\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Forces - Crest Wall\n", "\n", "Here we see the response of the horizontal and vertical 2% exceedance force to variations in the height and width of the crest wall." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "Rc = 3.0\n", "Ac = 2.0\n", "Hwall_var = np.linspace(3.5, 4.0, 1000)\n", "Bwall_var = np.linspace(0.8, 1.2, 1000)\n", "Fb = 0.8\n", "\n", "FH2p = vangentvanderwerf2019.calculate_FH2p_oblique(\n", " Hm0=Hm0, Tmm10=Tmm10, beta=beta, cot_alpha=cot_alpha, Ac=Ac, Rc=Rc, Hwall=Hwall_var\n", ")\n", "FV2p = vangentvanderwerf2019.calculate_FV2p_oblique(\n", " Hm0=Hm0, Tmm10=Tmm10, beta=beta, cot_alpha=cot_alpha, Ac=Ac, Bwall=Bwall_var, Fb=Fb\n", ")" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(Hwall_var, FH2p * 1e-3, label=\"$F_{H2\\\\%}$\")\n", "plt.xlabel(\"Wall Height [m]\")\n", "plt.ylabel(\"Horizontal force [kN]\")\n", "plt.grid(visible=True, which=\"both\")\n", "plt.legend()" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(Bwall_var, FV2p * 1e-3, label=\"$F_{V2\\\\%}$\")\n", "plt.xlabel(\"Wall Width [m]\")\n", "plt.ylabel(\"Vertical uplift force [kN]\")\n", "plt.grid(visible=True, which=\"both\")\n", "plt.legend()" ] } ], "metadata": { "kernelspec": { "display_name": "deltares-coastal-structures-toolbox-py3.12 (3.12.11)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.12.11" } }, "nbformat": 4, "nbformat_minor": 2 }