From 7b4621e166fbfcf1bbb60fdc4765621c233ebf2d Mon Sep 17 00:00:00 2001 From: Gelieza K Date: Fri, 12 Jan 2024 11:41:40 +0100 Subject: [PATCH] Minor changes --- notebooks/jacobi_method.ipynb | 53 +- notebooks/julia_distributed.ipynb | 4 +- notebooks/matrix_matrix.ipynb | 4 +- notebooks/pdes.ipynb | 4337 +---------------------------- 4 files changed, 59 insertions(+), 4339 deletions(-) diff --git a/notebooks/jacobi_method.ipynb b/notebooks/jacobi_method.ipynb index 628382d..ad8c6bb 100644 --- a/notebooks/jacobi_method.ipynb +++ b/notebooks/jacobi_method.ipynb @@ -422,7 +422,7 @@ }, { "cell_type": "code", - "execution_count": 1, + "execution_count": null, "id": "a66cbf9a", "metadata": {}, "outputs": [], @@ -433,24 +433,10 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": null, "id": "e0d63c6b", "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "3-element Vector{Int64}:\n", - " 2\n", - " 3\n", - " 4" - ] - }, - "execution_count": 2, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "if procs() == workers()\n", " nw = 3\n", @@ -469,7 +455,7 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": null, "id": "d39c7bb2", "metadata": { "code_folding": [] @@ -530,7 +516,7 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": null, "id": "f1a8db8f", "metadata": {}, "outputs": [], @@ -560,23 +546,12 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": null, "id": "68851107", "metadata": { "code_folding": [] }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - " From worker 2:\t(rank, u) = (0, [-1.0, -0.75390625, -0.548828125, -0.3427734375, -0.224609375, -0.06640625])\n", - " From worker 3:\t(rank, u) = (1, [-0.1796875, -0.09765625, -0.0439453125, 0.0439453125, 0.09765625, 0.1796875])\n", - " From worker 4:\t(rank, u) = (2, [0.06640625, 0.224609375, 0.3427734375, 0.548828125, 0.75390625, 1.0])\n", - " From worker 2:\tresults ≈ jacobi(n, niters) = true\n" - ] - } - ], + "outputs": [], "source": [ "@everywhere workers() begin\n", " # Call jacobi in parallel\n", @@ -797,7 +772,7 @@ }, { "cell_type": "markdown", - "id": "267ecd2a", + "id": "f93e2024", "metadata": {}, "source": [ "### Parallelization strategies\n", @@ -808,21 +783,21 @@ "- 2D block partition (each worker handles a subset of consecutive rows and columns)\n", "- 2D cyclic partition (each workers handles a subset of alternating rows ans columns)\n", "\n", - "The three partition types are depicted in the following figure for 4 processes.\n" + "The three partition types are depicted in the following figure for 4 processes." ] }, { "attachments": { - "fig18.png": { - "image/png": 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" + "fig-jacobi-partitions.png": { + "image/png": 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SARjinAIYNlU6wFPcdOkAADVxsw4AAABAZ0PvdLzzl5LTDi4VZbxXfznZvrcdX3hCsvZpRePs563fTG5/uB2vXJa868yyeUZ96u7ko3f0559ZUy7LOLtnk1d8qT9/15ntdazJq65Jdsy047UnJheeWDbPqD+4IVn/SDs+7eD2eVyTj92RfPLudjzZJJ86v2yeUbtnkldcM/RPd5VJwmOYGZz8pzOTVbXtEV9OdsydU68+MXlVZXvEW76ZfG/unFq1rL2GNfnkXcnHftSOmySfruyc2rG3fYz3ec/rklOOLRZnrFe+P9m5ux2/dnXyynPK5hn1W1ckm7e349NPSN65tmyeUZd/Mvna99vx1GTyqbeUzTNq5+72MR6woVAUWkPX/3+dl8yr7DPOv/HF/viPX5WcWdnrp7V/kmyd+2L7vzk+ed1JRePs5x03JbdsasfPPCZ532+XzTPqszcm//UL/fmnzm/vsWsyuAYvW5ucdkK5LOO8/N3J7NyPANXYMbz+umTTrnb87BXJ5b9VNs+om9cn7/h4fz5UKr3gsGTNUU90pMc3PfBZqpMPSn69shu593+3Pz54fn359r2Q2Ke2fPsKw33OOjxZfWSZLI9laiKPvqx9+pL6ruHlN/dLpUMrXIPfebBfKjVNfflG12CSRwrE4Bf0wsOS85aXTjFsukl2zI1rPKfee0t/fEiFe8StDw3Pa8u3Zffw/KxnJueeUibLY5kauFd6xtHJrz+3XJZxFs7vl0qHLakv31XX9Uuliaa+fFv3/1W5HWP+jCfO9sHJBcckCyv+QuLzn55cUNkbjvMGrtdJi+vb9z94W3+8bFF9e8L6+4bnLztm+DVzbV7wjGTNaaVTDJto+qVSjfduB073S6WDD6xvDR4wb3he8fIDAAAAoFZKJQAAAAA6UyoBAAAA0JlSCQAAAIDOlEoAAAAAdKZUAgAAAKAzpRIAAAAAnSmVAAAAAOhMqQQAAABAZ0olAAAAADpTKgEAAADQmVIJAAAAgM6USgAAAAB0plQCAAAAoDOlEgAAAACdKZUAAAAA6EypBAAAAEBnSiUAAAAAOlMqAQAAANCZUgkAAACAzpRKAAAAAHSmVAIAAACgM6USAAAAAJ0plQAAAADoTKkEAAAAQGdKJQAAAAA6UyoBAAAA0JlSCQAAAIDOlEoAAAAAdKZUAgAAAKAzpRIAAAAAnSmVAAAAAOhMqQQAAABAZ0olAAAAADpTKgEAAADQWZOkt29y0HQyXVnN9OCu/njeRLJ4ulyWcR7enczMXcGJJlk2r2yeUdv2Jjtn+vND5pfLMk4vyaaBx/jAqWT+ZLE4Y9W+Bh/anczOrcHpifZ5XJMn2xpM8pper/fxMmkY1TTNwiTb9s2nmqRpCgYaY89sf9wkmarsHN07O3DQp75zfqbX38OS+vIlw4/x5EQyUVnGPXv746ZJpio7R2vPNzMzsganymUZq5fsmRn6lz/v9Xq/XyjNU17TNB9O8u/3zWvfsyYm2n2rJkN7Qp4E52Zle8LMbDI78Bhbg90NrsGJJpms+d6ywnOzN9s+T/YZeops2fNEx+lm9+zwC/zazPbqzpfUn2/r3va/WtW+BvdUni+pP1+SxaUDMGToNmRvL8N3epXpZfhGoEby/f+ZmW3/q1WvN3yzXJva8yX150uytHSAp7ih61/7njU7UkDU5klxbla+J9R+/Wpfg7Mjb27V5slwblbWGQIAAADwZDD0SaVXnZscd1ipKON98LPJrrlPUJ31zOTcU8rmGfU31yb3PtiOjz00WfvLZfOMuvGO5Jrv9ucX/+tyWcbZO5P8yWf687W/3F7Hmlzx98nuuXb4nGclZz+rbJ5RV34hefCRdnzcYe3zuCZfvCX51o/a8USTXPSbZfOMGl2DSX5WKArjDb038+oTkxWLSkUZ74rbk91zX005+/DknCPK5hn11+uSn8x9gXDFovYa1uTr9yfXbuzPL15VLss4u2eTK27rz1+zOjnmkHJ5xvnTv++/i3nuKe39Uk0Gz9HjD08uPKdsnlGfuC655/52PDmRvPnlZfOM2jOT/OnwOXVvoSi0fjw4WfWiP8zEZF3fj7r5/7730fEFi0/JiullBdPs768euiG7eu2mcPhxL8jyk1YXTjTszpuuytaH7k6SHDG1OC8/6NTCiYbdunNDrt++7tH5qS++KE1T12dFBtfgry1emaOnlxRMs7+PbLr+0fERJ5yVI0+s6wXUrdd+MDN72693LJ86KP/qoLpujn6yZ3P+4ZFbH50P7YBvWJOsOe0Jz/S4/vJz/VLpxacml60tm2fU9d/vl0onHJG853Vl84x6398Nl0q15du+e/gF/e++NFn97HJ5xvnP/9S/GX7J6cklF5bNM+ra25IHf9COT1pe32N82dUDpdJEffm279qvVLqvUBTGG/rA9O88PTlveako4/3F9/ul0vlHJZeeUTbPqOvu65dKJy5OLn9O2TyjLr+lXyo1qS/flt3DpdKbXlrfG1wf/sd+qfQrpyd/9MqyeUZ97Jpkw0Pt+OSj6jsHfvxA8vGBUqm2fFt37lcqrS8UhdbQ9T/zgndmat7CUlnGGnxB/28POiOrF51UMM3+rtp8U3bNtJvW8pNW57m/9p7CiYbdf883Hi2VjppakosOXVM40bCPPnzDUKn0nF99VyYm6/pR1cE1+IolZ+TshXW9o3Xlpq9lZu4W86iTX5wzL7iscKJhd970iWx96J4kyTHTS6tbg9dvXzdUKtVVaQIAAADwpKBUAgAAAKAzpRIAAAAAnSmVAAAAAOhMqQQAAABAZ0olAAAAADpTKgEAAADQmVIJAAAAgM6USgAAAAB0plQCAAAAoDOlEgAAAACdKZUAAAAA6EypBAAAAEBnSiUAAAAAOlMqAQAAANCZUgkAAACAzpRKAAAAAHSmVAIAAACgM6USAAAAAJ0plQAAAADoTKkEAAAAQGdKJQAAAAA6UyoBAAAA0JlSCQAAAIDOlEoAAAAAdKZUAgAAAKAzpRIAAAAAnSmVAAAAAOhMqQQAAABAZ0olAAAAADpTKgEAAADQmVIJAAAAgM6USgAAAAB0plQCAAAAoDOlEgAAAACdNUl6+yann5AsO7BgmjG+clsyM9uOj1yaPOvYsnlGfeOOZOvOdrxwfvL8p5fNM+rOjck99/fn560ql2Wc2V5y7a39+coVyWFLyuUZ59pb25xJsvzg5JlHl80z6oYfJtt3teNFC5LnnVw2z6gfbUh+/EA7bprkRSvL5hk1ugaT/Gav1/t0oTiMaJpmfpKd++ZnHJIsnVcw0BjXbuzvEUcekDxradk8o268P9m2tx0vmkqed1jZPKN+tCX58bZ23CR50fKicfazt5dct7E/r/2cOurg5BmVnVPXfS/ZO7cGD1yQPLeyc+q7dycPbGnHE02yurJzama2vR8ecFGv1/tAoThPeU3TvCXJ5fvmy5+2Ok1T1/v0P/3RNY+OT5x3aA6fqusF3jd23J2ZXrtpHbD48Cw74tmFEw27/95vZs/OR5IkC5rpnH5AXZvqvXs25949Dz06X/60F6VpmoKJ9je4Bk+ad1gOnVpUMM3+bth+d3pzNcjCxUdm6RHPKpxo2Mb112d2ZneS5KDJBTll/pGFEw3bPLMz39vVvzkaKpUAyO/1er2PlA5Bq2maA5JsL50DoCKX93q9t5UO8VTVNM37klxUOgdALeqq1QEAAAB4UpganKxckSyp65Np+foP+l9/O/bQZEVlH9v/7t3Jlrn30A9amKw6rmyeUT95MLnrZ/352XV9si+zs8nXftCfrzquvY41GVyDKw5r12FNbrkreWRHO16yMFlZ2Rq8c0Oy8eF23DTJWc8sm2fU6BpMsq1QFMabHZysXJYsmS4VZbyv35/MzH3m99hFyYrKztFbHkoe2dOOl8xLVlb29bx7tyd3b+3Pzz68XJZxZnrtY7yPc6q7m+9Kts6dU0sXJc9eUTTOfr53b7Kp/abLk+Wc2lQoCq2h6//Cw+t7l/76gXv/U46t7+dNbvhhsnemHR+zKDmusnPz1oeTze03j7L4gOTU44vG2c+GTcm6+/rzsw5vv35Uk8E1WH3HUOG9240PJHvm8tXYMWzeltx6T38+VCpd8YZkzWlPdKTHt3RtsnmutPntFyeXrS2bZ9S5b0u+ens7Pv2E5Np3lc0z6n1/l1z80f78q5c/9t+WsH13suiV/fmHfjdZXdfXqnPQq/ulzRvWJJdcWDbPqBde3G6MSfKck5IvvrNsnlGXXZ1c8vF2PDlR4RrclSwafkzXFYrCeHsHJ3/2/OS8yn5zZ+lfJ1vmSpvXn5xcekbZPKPO+T/Jv8zd3J1xcPKlC8rmGXX5Lcnbv9WOmyTXvaxonP1s2Z0s/Zv+/MNvSs49pVyecRa/qv/7jm98SfJHr3z8v3+iPf+i5MY72vFzT04+f2nROPu59KrkP17Vjqcn6zuntu5sH+MBXy0UhdZXBidfeGmycOqx/rSMif/RH3/g9ckFv1QuyziHvDbZNPdmwmtOTC5/Ttk8o87/XHLNhna8ckV9e8Kf/0Py+1f259dckExX1mwOrsHqO4aTkndW9hxZ/U/933M87fjkK+8uGmc/X7w5eckf9+eVLT8AAAAAngyUSgAAAAB0plQCAAAAoDOlEgAAAACdKZUAAAAA6EypBAAAAEBnSiUAAAAAOlMqAQAAANCZUgkAAACAzpRKAAAAAHSmVAIAAACgM6USAAAAAJ0plQAAAADoTKkEAAAAQGdKJQAAAAA6UyoBAAAA0JlSCQAAAIDOlEoAAAAAdKZUAgAAAKAzpRIAAAAAnSmVAAAAAOhMqQQAAABAZ0olAAAAADpTKgEAAADQmVIJAAAAgM6USgAAAAB0plQCAAAAoDOlEgAAAACdKZUAAAAA6EypBAAAAEBnSiUAAAAAOlMqAQAAANCZUgkAAACAzpRKAAAAAHSmVAIAAACgs6nByXfWJxNNqSjj7Z3tj++6L/nSLeWyjLN5W3/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} }, "cell_type": "markdown", - "id": "e52959a5", + "id": "267ecd2a", "metadata": {}, "source": [ "
\n", - "\n", + "\n", "
" ] }, @@ -962,7 +937,7 @@ "\n", "\n", "- Both 1d and 2d block partitions are potentially scalable if $P<\n", - "Note: The matrix-matrix multiplication naively implemented with 3 nested loops as above is known to be very inefficient (memory bound). Libraries such as BLAS provide much more efficient implementations, which are the ones used in practice (e.g., by the `*` operator in Julia). We consider, our hand-written implementation as a simple way of expressing the algorithm we are interested in.\n", + "Note: The matrix-matrix multiplication naively implemented with 3 nested loops as above is known to be very inefficient (memory bound). Libraries such as BLAS provide much more efficient implementations, which are the ones used in practice (e.g., by the `*` operator in Julia). We consider our hand-written implementation as a simple way of expressing the algorithm we are interested in.\n", "\n", "\n", - "Run the following cell to compare the performance of our hand-written function with respect to the built in function `mul!`\n" + "Run the following cell to compare the performance of our hand-written function with respect to the built in function `mul!`.\n" ] }, { diff --git a/notebooks/pdes.ipynb b/notebooks/pdes.ipynb index 74b5f79..10f32fc 100644 --- a/notebooks/pdes.ipynb +++ b/notebooks/pdes.ipynb @@ -40,21 +40,10 @@ }, { "cell_type": "code", - "execution_count": 1, + "execution_count": null, "id": "821ac5e2", "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "pdes_check_4 (generic function with 1 method)" - ] - }, - "execution_count": 1, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "using Printf\n", "function answer_checker(answer,solution)\n", @@ -252,29 +241,10 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": null, "id": "b3b69c74", "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "8×8 Matrix{Float64}:\n", - " 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0\n", - " 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0\n", - " 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0\n", - " 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0\n", - " 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0\n", - " 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0\n", - " 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0\n", - " 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0" - ] - }, - "execution_count": 5, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "N = 8\n", "u = zeros(N,N)" @@ -282,21 +252,10 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": null, "id": "c7af2b38", "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "fill_boundary! (generic function with 1 method)" - ] - }, - "execution_count": 6, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "function fill_boundary!(u)\n", " u_window = 5.0\n", @@ -325,29 +284,10 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": null, "id": "76888875", "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "8×8 Matrix{Float64}:\n", - " 20.0 20.0 40.0 20.0 20.0 20.0 20.0 20.0\n", - " 20.0 0.0 0.0 0.0 0.0 0.0 0.0 20.0\n", - " 20.0 0.0 0.0 0.0 0.0 0.0 0.0 20.0\n", - " 20.0 0.0 0.0 0.0 0.0 0.0 0.0 20.0\n", - " 20.0 0.0 0.0 0.0 0.0 0.0 0.0 20.0\n", - " 20.0 0.0 0.0 0.0 0.0 0.0 0.0 5.0\n", - " 20.0 0.0 0.0 0.0 0.0 0.0 0.0 5.0\n", - " 20.0 20.0 20.0 20.0 20.0 20.0 20.0 20.0" - ] - }, - "execution_count": 7, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "fill_boundary!(u)" ] @@ -364,7 +304,7 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": null, "id": "e29f8eaf", "metadata": {}, "outputs": [], @@ -374,21 +314,10 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": null, "id": "b75d45cf", "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "visualize (generic function with 1 method)" - ] - }, - "execution_count": 9, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "function visualize(u;title=\"Temperature distribution\")\n", " xlabel=\"x-coordinate\"\n", @@ -406,539 +335,10 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": null, "id": "b5a0362c", "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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UB0KIhoZGYGBgeHj46NGjV6xYoaWldfPmzZ9//tne3j4lJUV0V3369ImPj//4449Hjx6tra1tZmY2duzYhkf08/MLCAg4f/68n5/fmjVrOnXq9ODBg5UrV1IU9dNPP2HJmXaMvVNyQVqNzseuqalZvHixmpqa6KeprKw8ZMgQevou9b/5E0eOHBHdG93VExgYKHYUuk+ZOfOdmY+9cuVK0eFof3//0tJSsfBCQkLEep85HE7//v0zMzPpOvT8CdF5fIw///xTdMTYyMgoMjKyX79+hBBmIghFUc+ePevbty8TCT0fm6Ko0tJSesohjcvlhoSENDUfu9G39+bNmw1PIurUqdPRo0eb/EgoiqKof//9V/TMHB6Pd+fOHcnzsaOiohoO5js4OMTExIi+nwsXLhQdDxedj33x4sWGkTQ6f2LBggWrV68W/eyGDh0qOpOGoqjs7Gw3Nzemgrq6elhYWMP5Ezk5Of7+/syUewnzsSsrK6dNmyZ6UC0tra1bt4oelJmPLfYq6AmGOTk5kt92aHscCmcXtAevXr0ihNjb24udQVRcXBwVFZWZmampqWlhYeHu7i56Sk9RUVFJSQmPxxP90amrq8vKytLU1KS7pxmZmZl8Pr9z5870IcLDw8ePH7906dItW7a8efPm7t27NTU1PXr0EP2xFlVZWXnv3r20tDQVFRVzc/MePXqIrk5RXl5eUFBgaGjY6FBtbm7u/fv38/PzraysfH19NTU13759W1tbS3eMiNbk8/m5ubl8Pl9XV5f5waUo6u7du8+fP9fS0vLx8bGysiouLi4uLhZ94RkZGQKBoEuXLo2+vUKh8OnTp/Hx8dXV1ebm5ra2tm5ubo2+zIav+urVq3l5efRCRpqamunp6RRFMas51dTUZGZm6urqMhmFoqiEhISUlJT8/Hx9fX07Ozt3d/dG1zUqLCyku3roD4XeNDMza9hkSUlJUVZWZg5aVVWVm5tLv0Xp6em3b9+uqalxc3Pr169fwxclEAhu3Ljx+vVrXV3dYcOGGRsbFxQUlJeXW1hYiJ4hTQipr6/Py8ujz5ymO8cyMzNramrs7OzE4n/z5k1UVFR5ebm5ufngwYPFPvSysrLCwsKGX4bs7OyampqGHzqwDnkCGieaJ9iOBQDYhHFsAACQBHkCAAAkwflO0DgXF5eNGzfSA5UA8CHD+AQAAEiCficAAJAEeQIAACRBngAAAEmQJwAAQBLkCQAAkAR5AgAAJEGeAAAASZAnAABAEuQJAACQBHkCAAAkQZ4AAABJkCcAAEAS5AkAAJAEeQIAACRBngAAAEmQJwAAQBLkCQAAkAR5AgAAJEGeAAAASZAnAABAEuQJAACQBHkCAAAkQZ4AAABJkCcAAEAS5AkAAJAEeQIAACRBngAAAEmQJwAAOg6KoubOnTtt2jSmJCcnZ+rUqc7OzuPHj3/z5k0r9ok8AQDQcezbt+/mzZt3795lSqZMmaKtrR0REeHg4BAYGEhRVEv3yWnFcwAAQAHl5OT4+fmtWrXq22+/TUtLI4QkJSW5u7sXFBRoa2vX19ebmZmFh4d7eXm1aLdoTwAAdBDz5s0LDg7W19dnShISErp166atrU0I4XK57u7uCQkJLd0t8gQAQEdw6NAhZWXljz/+WLSwoKBANG0YGBjk5eW1dM/KMoiOVWFhYaWlpUuXLm2zI748d7f5So2hKKq+vl5Zud2/56IEAkHHe0VcLpfD4bT9oS8W1Mtjtwr7xRtpwm31c9/ni+cwZlCrjysP1cKbQlIqZeVt6+NXr14tWrJ48eKtW7cWFRWtWrUqMjKyuLi4oqJCKBQWFxfr6enp6elVVlYylcvLyw0MDFoaocJ9dVqqsLCwtFTat1gmkk7daMvDwYdjY0Id2yG0KVsXVVaOq2h5olJ4WUBlSFn53Tvetm3bFi1aJFael5fH5XLHjBlDCKmqqiosLOzTp8+9e/c6d+6cmprKpNWXL19++eWXLY0Q/U4AAGziCAlHSEl5a2onTk5Oqf+zd+9eS0vL1NRUMzMzT09PQ0PD/fv3E0LOnTtXWlrq7+/f0gjbfXsCAKBd41CSEkArqKio6Onp/XfnHM6BAwcmT568Zs0aoVB48OBBNTW1lu4QeQIAgE0ciuLIdH6Cn59fXFwcs+np6fnmzZuSkhI9PT0lpdb0ISFPAAB0cBwOpxXD1wzkCQAANkkeeFAEyBMAAKyiCBGyHYNEyBMAAGyS+fiEzCFPAACwSkgUvN8J8ycAAEAStCcAANgk8/kTMoc8AQDAKiFFkCcAAKApGMcGAACJFL49gXFsAACQRO55orKycteuXbNnz544cWJTC4AXFxfPnj3b1dV1zJgxiYmJTHlkZKSPj0+PHj1+/PHH+nq5LM0PAMAuehz7PdeLlSu554ni4uI7d+5YWVmdOHGipqam0Tr/+c9/SktLw8PDBw0aNHLkSD6fTwhJSUn55JNPFi5ceOTIkdOnT//666/yDhUAoO1xqP8OUUhzYyVCuecJKyurI0eOLFy4sKkKeXl54eHh27Zt69q164oVKzQ1Nc+dO0cICQsLGzt27Lhx45ydndetW/fHH3/IO1QAABbQ4xNS3tjA/vhEcnIyj8eztLSkN/v27RsfH08ISUhI6Nu3L13Yp0+f169fi169DwCgg6DoSxVJdWMF++c75efnM5fUIIQYGBjk5+fT5czlv+kVcfPz8zt37iz29MTExHPnzv3zzz/0ZlBQ0Jo1a9oibgBonyoqKtrycMrKyurq6m15RJljP080vMw33bbQ09NjPk76TqPrp3fr1k1bW3v58uX0prm5uYaGhtyDBoB2S1tbm+0Q/n8URTB/QrIuXbrk5OSUl5fr6OgQQl6+fDlw4EBCSOfOnV+9ekXXefHihYGBAdO8EMXlcvX19bt06dKWMQMAyIriX3+iLcYniouLS0pKCCGlpaXFxcV04fHjxyMiIggh9vb2vXr1ooepo6Ojnz17Nn78eELItGnTjh07lpOTQ1HUjh07pk6d2gahAgC0NUrRx7Hboj3h5ORUV1dnYGDg4eFBCCkqKiKEXLt2TVdXd+zYsYSQ3bt3BwUF/fbbbzU1NWFhYXT/kre396xZs5ycnNTU1JydnXft2tUGoQIAtDH6vFi2o5CkLfJEbm5uw8LQ0FDmvqura3Jy8rt37/T09FRUVJjy4ODg77//vqam5n2u7AoAAO+D/fEJGofDMTY2bliuoaGBcWkA6MgUfn0nRckTAAAfJg7F2sQIKSFPAACwCufFAgCABDgvFgAA2je0JwAAWIVxbAAAaIZCpwnkCQAAdin8+ATyBAAAq4QE/U4AACB3Bw8ejImJKS0ttbe3nzNnjrm5OSHk1atXe/bsYepMmzbNxcWlpXvG+U4AAGzi/HeJJ6luEsTExLi4uIwcOfLVq1f9+/cvLS0lhKSlpR06dMjgf1RVVVsRIdoTAACsktH5Tr///jt9Z/LkyTwe78mTJz4+PoQQMzOzFStWvM+ekScAAFgl0/NiKYq6evWqUCjs3r07XZKfn79y5Uo9Pb2xY8c6Ozu3Yp/odwIAYJOs+p0IIVOnTlVXVx87duxff/3F4/EIIXR6MDMzy8rK8vDwOHfuXCsiRHsCAKA92bp166FDh5jNCRMmMN1Khw8f3rt377Vr16ZNm2Zvb9+zZ89+/fr169ePftTOzm7t2rVjxoxp6RGRJ9qToLtn2Q4BQIYC2Q5AMbSw32nixImTJ09mNi0tLUUfVVNTGz16tKen59WrV3v27Cn6UM+ePTdv3tyKAJEnAABYJSSkJeuKW1lZ9e7dW6ywsrKSw+FoamoSQgoLC+Pi4ubMmUPfpy/tIxQKDx8+3PCJ0kCeAABglSzWFU9LS/P29nZxcVFVVX306NGECRMCAwMJIcuXL4+Ojra1tU1JSVFRUTlz5kwrdo48AQDQ7jk7O6ekpCQkJAiFQnt7e6YzKiwsLDExMT8/n8fjde/eXVm5Nb/5yBMAAGziUC3rd2qKgYGBl5eXWCGXy3Vzc3vPPSNPAACwCus7AQCAJBTWFQcAAAlk1O8kP5iPDQAAkqA9AQDAKlz3FAAAJOBgfAIAACRR+PEJ5AkAAFbJYj62XGEcGwAAJEF7AgCAVS1cB7DtIU8AALAK4xMAACAJzncCAABJFL7fCePYAAAgCdoTAACsQr8TAABIgnFsAACQROHHJ5AnAABYpfD9ThjHBgAASdCeAABgFcYnAABAEoXvd0KeAABgFcaxAQBAEopDKA7bQUiCcWwAAJAE7QkAAFZhHBsAACTB+AQAAEhAURxKsccnkCcAAFil8P1OGMcGAABJ0J4AAGCVjObZxcXFxcbGFhcXd+3adeTIkcrK//15r66uDg8PLyws9Pf379atWyv2jPYEAACrhIQIOdLemrZgwYL79+9nZ2evWbPG29u7rq6OEFJXV+ft7X3gwIHMzMwBAwZcvXq1FQGiPQEAwCoZtSdu375N36mpqTEzM3vw4MGgQYPOnDlTXV194cIFZWVle3v7H3/8cdiwYS3dM9oTAABsoigOJZT2Js0OCwoKBAKBhYUFIeTy5cujR4+m+6DGjh1779698vLylkaIPAEA0EEsXbrU3d29R48eu3fv7tKlCyHk7du35ubm9KOmpqZKSkrZ2dkt3S36nQAAWNXC9Z2OHz+elJTEbA4ZMmTSpEn0/Xnz5gUFBV27dm3p0qVeXl5WVlYcDoei3rdXC3kCAIBVLRyf6NSpU+/evZlNGxsb5r6dnZ2dnZ2np+etW7eOHz++ZMkSc3PzvLw8+tH8/HyhUMg0L6SHPAEAwCbpBx5onp6ec+bMEd8JRXE4/90Jn89/+/atsbExIcTPz2/Tpk3r169XUlK6cOGCh4eHrq5uSyNEngAAaPfi4uLmzp3r6empqqp69epVXV3dCRMmEELGjx+/efPmwMBAV1fXv/7669ChQ63YOfIEAAC7ZHD9CRcXlw0bNjx79kwoFAYHB48YMUJJSYkQoqamdu/evWPHjhUXF9+8edPV1bUVO0eeAABgEyUkLep3apSysrKvr6+vr2/Dh7S0tD7//PP32vn7PFl6kZGRT548sbe3DwoK4nK5Yo9GRETU1tYymzY2Nv369aurqzt79ixT6OTk5OLi0jbRAgC0HYW/nl1b5Im1a9ceOXJkxowZv/zyS2Rk5P79+8Uq3L59m5n6ceLEiUWLFvXr16+iomLixInMcI2qqiryBAB0QBR57zNX5UvueaKsrGzr1q337t1zdXX96quvrKysVq9ebW9vL1pny5Yt9J2srKx9+/Z9+umnzEN//fWXvCMEAAAJ5J4noqOjDQwM6METAwOD/v37X79+XSxPMPbu3evr6yt6OvDhw4eVlJQ8PT1tbW3lHSoAAAuoZhb4Y53c80R2draZmRmzaW5u3tSscYqiDhw4EBISwpT07dv39u3b7969mzNnzq5du6ZNm9bwWTk5OTExMcuXL6c3+/fvP2bMGJm+AgDoUERHQ9uAkpKSioqKhAq4nh3hcrlC4f9dq6m+vp4+W6uhf//9t7i4ODAwkN40NDR88OABff/EiROzZ8+ePHlywzFwZWVldXV1AwMDelNHR6ep/QMAEELa+Cei+cNhHNvc3Dw3N5fZzM3NHTp0aKM19+7dO3XqVHV19YYPDRs2rLS0NDs7u1OnTmIPmZiYeHp6fvfddzKMGQA6MMn/3be9ls7Hbntyz6uenp7l5eWPHj0ihOTl5T148GD48OGEkKKiohcvXjDVSktLz5w5I3qSr2gr5MaNG9ra2vQyuQAA0Jbk3p7Q0tJatWrVuHHjPvnkk8jIyM8++4wepg4PD9+2bVtiYiJd7dChQ05OTj179mSeuHPnztOnT7u6uubn558/f37Hjh0NO50AANo7ipAPfXyCELJs2bIBAwbExsb+8ssvdGOCEDJixAjRK7V6e3uLXWVpxowZtra26enpffv23bhxo+hJUAAAHQfGJ2gDBgwYMGCAaImVlZWVlRWz2XDVET09PUCegPkAACAASURBVJy5BAAdHs53AgAAiYRKlFChz9JU6OAAAIB1aE8AALAN/U4AANAUjE8AAIAkyBMAACCJ4ucJjGMDAIAkaE8AALBJ8dsTyBMAAOziUJRCd+0gTwAAsAntCQAAkETx84RCN3YAAIB1aE8AALBJ8dsTLcsTfD6/pqZGR0dHTtEAAHxoKErRx7GlCo6iqO3btzs4OGhqavr5+dGF8+fP37VrlzxjAwDo+Oj2hJQ3ViKUKk+sXr166dKlAwYMmDJlClNoa2u7c+dOuQUGAPCBaP95oqysbMuWLdu3b//777/9/f2Zcg8Pj6SkpLq6OnmGBwAALGs+T7x8+bK2tnby5Mli5TweTygUFhYWyicwAIAPAkU40t9YibD5cWwNDQ1CSHl5uaGhoWh5amoql8vV19eXV2gAAB8AIcURymIcWygUvnz5srCw0NHR0cTEhC6sqanJzs5m6vB4PG1t7ZbuufngunXrZmZmtmXLFkIIh8Nhjr1+/XpPT09NTc2WHhIAABgyGcfOzc3t1KnTmDFjvv/+e3t7+02bNtHljx49cnJyGvY/169fb0WEzbcnuFzuL7/8Mm3atISEBB6PV1BQsGbNmn/++efNmzc3btxoxSEBAOD/yGKAWkND4+zZs3369CGExMbG9unTZ8qUKZ06dSKE2NvbJyYmvs/OpWrsTJky5fTp00VFRcePH3/z5s26det0dXWvXbs2cODA9zk2AADIhJ6eHp0kCCEuLi4qKipFRUX0JkVRr169ys/Pb/XOpZ1nFxgYGBgY+O7du5KSEgMDA7GxCgAAaB2Zn/C6e/due3t7Z2dnejMrK2vcuHFv377t1q3bP//8Y21t3dIdNp8nhELhd999t3LlSn19fSMjIyMjI7o8Pj7+3Llz3333XUsPCQAADCFRErZkqb379++LDgz36tWrb9++zOaNGzd+/PHHixcvKisr04/m5+erq6vX1NR8+umn8+fPj4iIaGmEzQcnFAo3bdpUWloqVv7ixYs//vijpccDAABRVEuGsgkhmZmZj0W8evWK2dW9e/cmTZp0/Pjx3r170yVaWlrq6uqEEHV19fnz59+5c6cVEbZ+HcCioiI9Pb1WPx0AAFph4sSJixYtalgeHR390Ucf7d+/38fHp9EnpqWlGRsbt+KIkvJEZGTk7du3hUIhIWTTpk26urrMQ5WVleHh4U1FAwAAUmrZ+EQTFbOzs0eMGNG/f//4+Pj4+HhCyPjx4+3t7X/99Vc+n29nZ5eamrpx48affvqpFRFKyhPR0dGhoaH0/SNHjigp/V8nlba2dv/+/devX9+KQwIAgAjZTLSeO3cuIaS4uJje5PP5hJA+ffqcOHHi4cOHPB7v2LFjzEKuLSIpT6xbt27dunUCgUBFRSUuLs7GxqYVBwAAAAmEFEf43uc7WVhYbNy4sWH5oEGDBg0a9J47b358QllZmaKo9zwMAAA0qqNdp6i2traqqorZVFJSwlA2AEDHJtVJuxUVFfPnz7e2ttbU1DQUwczjAACA1qEIh55CIc2NlQilak989tlnly5dWrBgwdmzZ3v27Glvbx8eHp6fn7927Vo5hwcA0MEpfr9T89mpoqIiPDw8LCxsw4YNVlZWgwYNWrduXVxc3MCBA6Ojo9sgRACADkzxrz/RfJ5ITU2lKIq+kp2ysjI9PsHlcleuXHno0KHa2lq5xwgA0HHR5ztJeWMlwubzBD3nu76+nhBiZmaWkZFBl+vq6tbW1paUlMg1PgAAYFfzecLGxkZDQ4NevtzDw+PYsWOxsbElJSUhISH6+vo8Hk/+QQIAdFgUkcF1iuRKqvbEzJkzY2JiCCHTp083Njbu3bu3gYHB0aNH169fz1zhDgAAWoEiREg4Ut5YiVCq85127txJ39HQ0Hjw4MG1a9fevn3r6enZq1cvecYGANDxtbChwMKs5xavF6ulpRUYGCiPUAAAPkAtPJFJsfNEeXl5RkZGTU0NU6KiouLm5iaHqAAAQFFIlSdiY2Pnz59///59sXJLS8usrCw5RAUA8KGg2DvhVUrN54n6+vqAgABlZeVffvmla9euGhoazENqamryjA0AoONjcQKdlJrPEykpKTk5OVFRUZ6enm0QEADAB0VIkY7QniCE2Nrayj0WAIAPj+K3J5qfP+Hk5OTs7Hzp0qU2iAYAABSNVOPY33333dKlS7OzswcPHiw6PoHznQAA3lMHGceeOnUqIWTVqlViD+F8JwCA96T4/U7N5wkul3v16tVGH8L5TgAA70lIiFCxLy3dfJ7gcDh+fn5tEAoAwAdI8dsT7FxFDwAA2osm2xPHjx8/ePDgkiVLBg8e3NSCTkZGRn///be8QgMA+AC043Hsmpqa4uLiuro6iqKKi4sbf7Jyi5cRBAAAURQhCt7v1OQP/YwZM2bMmEHfv3v3blvFAwDwYWHxgqZSQoMAAIBlin26U9N5IicnJzs7W/KTMc8OAKDDazJP7NmzZ/Xq1ZKfjHl2AADvqR33O02dOtXDw4O+/+LFi5UrVwYGBo4cOZLH4+Xk5ISHh9++ffuXX35pqzgBADomxZ8/0WSe6Ny5c+fOnQkhFEV9/fXX69evX7BgAfPojBkzVqxYERoaOmnSpLYIEwCggxISjlB2eaKqqkpTU1P8EEJhdXW1lpZW6/bZ/Dy7pKSk58+fM+c+MWbMmHHjxo3S0lJpDlNaWvr69Wt6ifIWKSwsTE9Pb+mzAADaDYpQUt+aUlRUFBAQoKWlZWpqamdnd+7cOeahP/74w9jYuFOnTt7e3jk5Oa0IsPk8UVdXRwjJzMwUK8/IyKAois/nN7uHbdu22draBgQEdO3aNT4+vmGFrl27cv5n+PDhdCFFUQsWLOjWrdvQoUPd3d1zc3ObfzUAAB8kgUAwduzYnJyc8vLydevWTZo06d27d4SQV69erVy58s6dO4WFhQ4ODt98800rdt58nnBxcbGysvr0008TExOZwocPH86fP79v377GxsaSn56enr569ero6Ojnz5/PmjXr66+/brRaTEwMRVEURV25coUuuX79+unTp1+8eJGSkuLi4rJ27VppXxMAQPsh/F/XkzS3pnbC4/HmzJmjq6tLCJk8ebJQKExLSyOEHDx4cOTIkc7OzkpKSsuWLTtx4kRVVVVLI2w+TygrK//zzz/p6emurq62trZ9+vSxsrLq168fn8/fv39/s08/duyYj4+Po6MjIWTu3Lm3b99u9HRbPp9fXV0tWnL06NFJkyYZGRkRQubNm3f06FFKQqMLAKB9oiiO9DdpdhgZGamnp+fk5EQISU1Npe8QQhwcHAQCwdu3b1saoVTz7AYOHJicnHzgwIGEhITc3Fx3d/eePXtOnz5dR0en2eempaV17dqVvm9kZKSvr5+enm5hYSFWbeTIkXw+v0uXLr/99tuQIUPoJwYFBdGPdu3ataysrKioiE4bourq6nJzcx8/fkxvWllZmZqaSvOiAAAUAUWIsCX1s7KymF88QkinTp14PB6zmZqaOnv27F27dtGj2aWlpczwtZKSkqamZlPrMEnQfJ5IT09fvnz5unXrlixZ0tK9E0IqKir09PSYTU1NzfLycrE6ERERTk5OFEX9/vvv48aNe/XqlYmJSUVFBXPtPPoFl5WVNcwTqamply9fjouLozcDAgJa1wEHAB+IioqKtjycsrKyurq6hAoUkbahQDt+/PjNmzeZzfHjx3/77bf0/YyMDD8/vzVr1owbN44uMTExYc42EggEFRUVJiYmLYqfSJMniouLT5w4sXXr1pbumsbj8UpKSkT31vD/fbpZxOFwFixYsHXr1ujo6DFjxog+saioiBDSaEPBycnJwsJiw4YNrQsPAD402trabIfwXpYsWbJo0aKG5VlZWUOGDJk3b97cuXOZwu7du//777/0/djYWD09PUtLy5YesfnxCUdHRz09vWfPnrV017SePXtGR0fT9xMSEjgcjr29fVOV6+rqysvL6e4s0SdGR0c7Ojo2PCkYAKC9E7bk1pTi4uKhQ4c6Ozv36tXr2rVr165dKywsJITMmDHj3r17x44dS0tL+/777z///HNVVdWWRth8e0JDQ2Pnzp2LFi3S1NT09vZWUmrZpY3Gjx//zTffhISEDB8+fMWKFTNnzqQ7y1asWKGtrb169eqkpKSIiAgPDw+BQPDbb7+ZmZl5enoSQmbNmtWjR499+/Y5ODisWrVKdJYfAECHIf0AtQRFRUXW1tZVVVWbNm2iS3766SdjY2NTU9MzZ8788MMPP/zwg7+/f3BwcCt23nyeqK+v/+GHH/Ly8nx9fVVVVc3NzblcLv2QqalpVFSU5KdraGhcv3593bp1Fy9e9PX1XbVqFV3epUsXun2gp6f3+vXryMhIVVXV3r177969m77stq2t7fnz57ds2VJSUjJ37tx58+a14uUBACi4lo5jN8rOzu7q1auNPjRkyBD65KBWe6/rY+vr60tzDCcnp6NHj4oVfvnll/QdCwuLv/76q9Enenl5eXl5SXMIAACQk+bzhJKSUlO/4wAA8J7a8TqATREIBLjcKQCArAgpouDriks7KH3hwgVfX18TExMVFRVzc/NRo0bhYqgAAO+PasmNFVK1DPbs2fPFF19YWlqOHTvWxMQkJycnMjLSx8cnIiJi1KhR8g4RAKADoygiVOw1iZrPE3V1dcuXL580adKBAweYE28rKyvHjBmzZMkS5AkAgI5NqutPFBcXb9iwQXR2hpaW1rp16168eEEvXQsAAK1Dj2NLeWMlwubbE0KhkBCioqIiVk6X0I8CAEDrCBW+36n59oSTk5O2tnZISIjost719fWbNm2ytbVtxZJSAAAgov23J9TV1deuXbts2bK7d+8GBASYmJjk5uaGh4e/fv36yJEjbRAiAEAHJiSK3p6Q6nynpUuXGhsb//zzzxs3biSEKCkpubu7nzlzZuzYsXIODwAAWCbtjLlPP/30008/raioKCws5PF4WLoVAEAmOtp8bHrddiQJAABZ6Qjj2LRTp055enrq6Ojo6OgYGBj4+voy174AAID30RHmY+/atWvevHm2trYzZsygx7HPnj07bNiw8PDwwMBAeYcIANCBCSmOgq/v1HyeqK2t/fbbb6dNm7Zv3z5mBcBff/01MDBw2bJlyBMAAB2bVPOxS0tLg4ODRZeJVVdXX7NmTUpKCn1pPQAAaJ0Osg4gIYTDEW8WNSwBAICWksl1T+VKqvnYurq6a9euFV2ig8/nr1+/3s7OztjYWJ7hAQB0cPR1T6W8saL59oSamlpwcPDChQvv3bs3atQoHo+XnZ199uzZrKyskydPtkGIAAAdGEURSrHPi5Wq32nBggU8Hm/z5s07duwQCoXKysoeHh5hYWHDhw+Xd3wAAMAuaccnJk2aNGnSpOrq6pqaGk1NTTU1NbmGBQDwgRASIuxI87E1NDQ0NDTkFAoAwAeIIore7yTVfOzu3buvW7dOrHDu3LkjRoyQQ0gAAB+QjjCOnZWVlZSUNGHCBLHyiRMnjhgxQiAQiM6rAACAFukI58Xm5OQQQqysrMTKLS0t+Xx+QUGBXOICAADF0HyeMDAwIIS8evVKrPzFixdKSko6OjpyiQsA4MOg+POxm88TdnZ2Xbp0Wbp0aUVFBVP47t27VatWeXp60iuNAwBA61DUf5cWl+bGiuaHFjgczm+//RYYGNi1a9dRo0aZm5tnZmZGRETU1dXdunWrDUIEAOjAOsh1ikaNGnXz5s0ff/zx8OHDtbW12traw4YNW7dunYuLi7zjAwDo2BT/OkXSnqo0cODAK1euEEIqKyu1tLTkGRIAALRMSUnJvn37Hj9+nJeXFxERwUx0++mnn27fvk3f19PTa91iSy07pbWsrOzJkycDBgxQUVFpxcEAAECMTAao37179+zZMwcHh8OHDwsEAqY8Pj7excVl9OjRhJBW/263LE8kJib6+Pjk5+ebmJi07ngAACBKJvMn7Ozs9u3bl5WVtWbNGrGHunXr5ufn9z47l/b62AAAIA/yno+9a9cuLy+vL7744sWLF62LEFOpAQDYJNd1xYOCgvT09LS0tE6ePOnh4REfH99w0nSz0J4AAGhPFi9ezBGxaNEiCZUnTpzo7+8/aNCgX3/91dXV9fjx4604YsvaE/3796+oqPjAz3fy2N3KtpsMOLF2ZACQk5auF7tt2zbJuaEpxsbGotOlpdd8e0IgEPj4+Bw5cqS2tlZJSekDTxIAALJFEY5Q6puE/RQXF5eWlhJCSkpKSkpKCCECgeDWrVsURRFCrl27dunSpdYNaDefJ5SUlCorK6dOnWplZbVs2bKXL1+24jAAANAoenxCyltT+Hy+nZ2dl5eXgYFBjx496EnQ9fX1c+fO1dDQ0NXVnTVr1s6dOwcMGNCKCJvvd1JSUnr48OHz588PHDgQGhr6yy+/9O7de86cOdOnT8c1iwAAFIGKikpRUZFYoZqaWlJSUm1tbX19vaamZqt3Lu04dvfu3Tdu3JiRkREaGsrhcL788ktbW9sVK1akpKS0+tgAACDv9WLV1NTeJ0mQlp7vpK2tPXv27EuXLk2fPj0/P3/z5s2Ojo4ff/xxamrq+wQBAPDBElJESHGkvLESYQvyBEVRt2/fnjZtmpWV1cmTJ2fOnHnnzp0//vgjLi5uwIAB5eXl8osSAKADU/DrT0h1Xuy7d+/279+/e/fu5ORkBweH9evXf/bZZ/T1iwYNGjRu3DgzM7PY2NjBgwfLOVoAgI5GrvPsZKL5PFFfX29paVlfXx8YGPjbb78NHTqUw/n/2j4mJiadOnXi8/lyCxIAAFgjVXvi22+/nT17toWFRVMV0tLSZBYRAMCHhMWBByk1nye4XG7DBQgBAEAmWBx4kBLWAQQAYBNFZLCuuFwhTwAAsIlq7YLhbQbrxQIAgCRoTwAAsKkjnBcLAADy0xHOdwIAALmSvjnBSj5BngAAYFOL+p1YyRMYxwYAAEnQngAAYFOLxidY+dceeQIAgE2Yjw0AAJJQFOZjAwBA0yhChIrdoMA4NgAASIL2BAAAmyhCKHbOd5VWW+SJoqKi77///tGjR/S18GxsbMQqhIWFRUZGvn37tnPnzsuWLevTpw8hpKKi4vPPP2fqjBs37pNPPmmDaAEA2hLW7SCEkM8++0xbW3vv3r379+8PCAh49uyZ2BXxzp07N2XKFHt7+0uXLvn6+sbHx9va2tbV1Z04ceL48eN0HScnpzYIFQCgjVGEI/zA2xNv3ry5fPlyTk6OoaHh5s2bDx06dPPmTV9fX9E6Z8+epe/07t372LFjd+7csbW1pUsmTJgg7wgBAFik+O0JuY9jx8fH29nZGRoaEkKUlJT69u377NmzpiqXlpamp6d37dqVKQkKCpo4ceKff/4pEAjkHSoAADQk9/ZEfn6+vr4+s2lgYJCXl9doTYqiZs+ePWLECA8PD0KIqqpqcHBwr169ioqKQkJCHj16FBYW1vBZz58/j4iI+Oeff+jNyZMnf/vtt3J4HSLU5bt7AJCr8vLytjycsrKyhoaGhApYL5bo6upWVVUxm5WVlXp6eg2rURT11Vdf5eTkXLp0iS7R1tb+/vvv6fuurq7u7u47duzQ1NQUe6KDg8PkyZOXL19ObxoZGeno6Mj+ZYio4st19wAgX/L+iWgpxe93knuesLW1TUtL4/P5KioqhJBXr15NnDixYbUlS5bExsZeuXJFS0ur4aOWlpZCobC0tLRhnlBWVtbX1+/SpYs8ggcAkDeKcBT8vFi5j0/07dvX1NT04MGDhJBbt25lZGQEBAQQQp48ebJr1y66znfffXfz5s3IyEhdXV3miampqcXFxYQQgUAQEhLSrVs3c3NzeUcLANDG6PnYUt5YIfc8weFw9uzZ88MPPzg4OIwfP37Pnj10i+Hp06ehoaGEkLq6ug0bNjx9+tTIyIjD4XA4nE2bNhFC7t+/b21tbW1tbWxsHBUVxZwgCwAAbakt5k8MGjQoPT09Ozvb1NRUVVWVLpw5c+bMmTMJIaqqqlRjnXPTpk2bOHEiPQyura3dBnECALQ9mawDWFdXFx0d/ejRo/z8/B9//FFNTY156MSJExEREXp6egsXLnRwcGjFzttofScul9upUycmSUhJVVXVysoKSQIAOjBhS25NefHixYIFC+7fv79p06a6ujqm/MCBA4sXLx49erSRkdHAgQPfvXvXigixvhMAAKso8v7tCVdX17i4uKysrJMnT4qWb9myZfPmzfSiRw8fPty3b9+yZctaunPkCQAANslvgLqqqio+Pn7w4MH05uDBg6Ojo1uxH6wrDgDQMeXm5hJCjIyM6E1jY2O6pKXQngAAYFNL509s3br10KFDzOb48eObWoSCngdeW1urrq5OCKmpqWk4BU0ayBMtFj3bkb2DJ7N3aACQC6qF/U4TJ06cPHkys2llZdVUTR6Pp6qqmpGR4erqSgjJyMiQUFkC5AkAADa1dN0OKyur3r17S1OTy+V+9NFHBw4c+PnnnysrK0+dOrV9+/ZWRIg8AQDQ7gkEAkdHR3pdbTc3Ny0trYSEBELIunXrhg4dGhsbm5mZ2bNnz5EjR7Zi58gTAABsEsriOkVcLvfq1avMJnMtOEdHx1evXj169EhPT8/Nza11O0eeAABgk5DI4LxYDofT1HKoGhoaXl5e77Nz5AkAAFbJYt0OuUKeAABgk+QFORQB5tkBAIAkaE8AALAJ1z0FAIBmKPZlT5EnAABYxeKF6qSEPAEAwCaMYwMAQPuG9gQAAJtaug5g20OeAABgk+L3OyFPAACwSSbrdsgV8gQAAJsohW9PYBwbAAAkQXsCAIBNQkIJFXumHfIEAACbkCcAAEASxR+fQJ4AAGCTkBIKKYXOFBjHBgAASdCeAABgk5CQeoxPAABAU4QcSshBngAAgCZQRChU7JFs5AkAADbVE6pesfMExrEBAEAStCcAANgkRL8TAABIgPEJAACQREiEQlLPdhSSIE8AALBJ8dsTGMcGAABJ0J4AAGAT+p0AAEASIamXSZ64cuVKaWkpfd/Y2NjX1/f990lDngAAYBNFKJmMTyxfvtzQ0NDExIQQ4ujoiDwBANBByKo9QQhZs2aNj4+PTHYlCnkCAKCDuHfvXlZWVs+ePV1cXGS4W5zvBADAJooIKVIv5U3CfiwtLZ8/fx4ZGenl5bVkyRIZRoj2BAAAm1o6f+L48eNJSUnMpo+Pz+TJkwkhkZGRdElqaqqrq+u0adPc3d1lEiHyRHtyclAg2yEAgIy19LzYTp069e7dm9ns0qWLWAU7OztHR8ekpCTkCQCAD5Gnp+ecOXPECimK4nA49P2cnJyUlBQ7OztZHRF5AgCATc0OPEgjLi5u9uzZAwYMoCjq1KlTH3/8sYeHh0zCI8gTAADsoiiKot53/kT37t1DQkKSk5OVlJROnDgxYMAAmcRGQ54AAGATJYv5E6qqqsOHDx8+fLhMQhKDPAEAwCb6vFipq7MwmQHzJwAAQBK0JwAA2EQRIdWC+RMs/HOPPAEAwCaKElKU9P1OLPxoI08AALCphe0JFiBPAACwqmXtCRZgHBsAACRBewIAgE3odwIAAElksm6HXCFPAACwSSbrdshVW+QJPp8fHh6elZU1ePDgPn36NFonKirq/v37nTt3DgwM5HK5dGF5efnJkyfLyspGjRrVtWvXNggVAKDN1RPFbk+0xTh2QEDAb7/9VlhYGBAQcPDgwYYVdu7cOWHChKKioo0bN9IX3CCEVFZWenh4nDlzJjMzs1+/fnfv3m2DUAEAQIzc2xN37tx59uzZ69evNTQ0BgwYsHjx4qlTpyop/V9+qqurCw4OPnr0qI+Pz4oVK6ytrZ89e+bm5nb06FEdHZ0zZ85wOBwzM7Pg4OBLly7JO1oAgDZGEUXvd5J7e+Ly5ct+fn4aGhqEEH9//8zMzFevXolWiIuLq66u9vb2JoTo6ur6+PhcvnyZfmJAQAB95Y0xY8Zcu3ZNIBDIO1oAgDYnpKS+sRKf3NsT2dnZFhYW9H1VVVUjI6Ps7GxHR0emwtu3b83MzJgWhrm5eXZ2Nv3EESNG0IUWFhb19fV5eXmWlpZi+8/Ly4uNjQ0JCaE3e/bs6efnJ9dXBADtWm1tbVseTklJSUVFRVINiiKK3Z6Qe57gcDgURTGbohfnk1xBtJy+I/ZERm1tbUlJCX0fbQ4AaF8oql7B52PLPU+Ym5tnZGTQ9/l8flFRkbm5uViF/Px8oVBINylyc3PpKzGZm5vn5eXRdXJzc7lcLo/Ha7h/U1NTX1/fDRs2yPdlAEBHoaamxnYI7YzcxyeGDx9+7dq1mpoaQsiVK1csLS3pM1xzc3Pz8/MJIT179lRVVaVPZ6qoqLh165a/vz/9xPPnz9MtifPnzw8ZMkRZGbM9AKDjEbbkxgK5//J6e3s7Ozv7+/t7eXnt2bNn06ZNdLth2bJlenp6O3fuVFVVXbVq1dSpUz/77LNr164NHTq0R48ehJApU6Zs27Zt/Pjx9vb2u3fvjoiIkHeoAABtD/PsCCEkMjLy1KlTWVlZZ8+e7devH124aNEiZmxnwYIFvXr1un///tKlSz/++GO6UEtLKyYm5sSJE2VlZdHR0aJD3wAAHQhrDQUptUWeUFFR+eSTT8QKxSZmDxo0aNCgQWJ1dHR0Pv/8c/kGBwDALoU/3wnrigMAgCQYGQYAYBPWiwUAAIkooYL3OyFPAACwS9HHJ5AnAADYpejnO2EcGwAAJEF7AgCAVQp/XizyBAAAmyhKiPnYAAAggczGJ6qqqh4+fGhgYODm5iaTHdKQJwAAWEVRROTaCq32/PlzPz+/7t27p6Wl9enT5+jRo01di6GlMI4NANARrF69ml5N9cmTJzExMVevXpXVnpEnAABYRY9jS3lrQl1dXURExIwZMwghOjo6H3/88alTp2QVIPIEAAC7pE4STeeJ2np9BQAAE5pJREFUnJwcgUBgY2NDb9rY2GRmZsoqvnY/PlFcXPzs2bPQ0NA2O6Jpmx0JAOSgLX8uCCFcLnfatGkSLqJHEYpqyTj2/fv3NTU1mc0ePXr079+fvhYcc7EGNTW16urq1oYsrt3nCQcHh+fPnz9+/LjtDtnaayaWlZUVFBTY2dnJNBqWPXnypFevXmxHIUtv3rwxMDDQ19dnOxCZqaioyMnJoa8j2WE8ffq0R48erRynfZwl63Ak4XK548ePl5AnYs8dkX5vV65cOXXqlOgvno6OTv/+/c3MzAghRUVF9PWhCwsLxa4w/T44lCzG2QEAgF3du3f/8ccfJ0yYQAgZNmxYQEDA119/LZM9t/v2BAAAEEKWLVu2bNkyoVAYHx8fHx9//PhxWe0ZeQIAoCP4/PPPtbW1z507Z2hoeO/ePQMDA1ntGf1OAAAgCc6LBQAASdDvJDMURe3Zs+fatWvGxsZLly7t3LlzwzpRUVGhoaH19fXTpk3z9/enC2tra7dv3/7o0aPOnTt/8803RkZGbRu4JC9fvty2bVtJScnIkSPpKTyiysrKjh8/HhUVxefzPTw8vvjiC/qkjqioqIiICKbakiVL6HMwFEFxcfHmzZtTU1N79eq1ePFidXV1sQq7d+9OTU2l75uYmCxdupS+n56evmXLlvz8/CFDhsyePVtJSYH+x4qIiDh27Ji6uvq8efN69+4t9ujZs2fv37/PbCorKwcHBxNCwsLCUlJS6EJjY+Nly5a1WcCSZWVl3blzJzEx0c3NbeLEiY3WSUhI2LFjR3l5+UcffTRp0iS6UCgUhoaG3rhxw9TUdNmyZdbW1m0YdUemQN/19m7r1q1btmz55JNPtLW1vby8KisrxSokJiaOGDGif//+w4cPnzx58s2bN+nyBQsWXLhwYfr06Tk5OaNHj27ruJtWXFw8aNAgHo83YcKEH3/88c8//xSrcOPGjfPnzw8YMGDUqFFhYWEzZ86kyx8/fnz58mWD/1Gon9TAwMC0tLQZM2Zcv3597ty5DSscPXr07du3dOR6enp0YU1Njbe3t6qq6pQpU37//fdNmza1bdSSXLhwYdasWQEBAW5ubkOGDGGSHENTU5P5LO7fv3/79m26/NixY5mZmWKvVBHs3LnzwIEDly9fvnDhQqMV8vLyvL29bW1tx48fv2zZskOHDtHl69ev37lz55QpU7hc7uDBg2tra9sw6g6NAlkQCARWVlZXrlyhNz08PMLCwsTqfPnll1999RV9f8OGDWPHjqUoKj8/X01NLS0tjaIoPp9vYmJy+/btNgxckl9//XXIkCH0/dOnT9vb2wuFQtEKopuPHz9WUVGpq6ujKGrHjh1Tp05ty1ClFBMTo6+vX1tbS1FUdna2mppadna2WB1fX9+TJ0+KFR44cKBXr170/Vu3bpmZmdGvVBH4+vpu376dvj9z5sylS5dKqOzk5LRv3z76vp+f37Fjx+QdXqt99913M2bMaPShkJCQMWPG0PcPHTrUs2dPiqJqa2t5PB7z59OjR49Dhw61TagdngL9o9euZWdnZ2VleXl50ZteXl4xMTFidR48eODt7S1WIS4uztTUlJ5tr6ys7Onp+eDBgzYMXJKHDx8yAXt7e6ekpBQVFYlWEJ3l9PbtW2NjY2Y6aHx8/Lx584KDg9+8edNmATcrJiamf//+qqqqhBBzc3NbW9snT540rHbkyJEFCxb8+eefzIzWBw8eMB/uwIEDCwoK0tPT2yxsycS+VxK+P1FRUZmZmUFBQUzJ0aNHFyxYsGvXLhnO3W0Doi/Z29s7Li6utrY2LS3t3bt3AwYMoMslvxXQIsgTspGbm6ulpcV0dhsbG+fk5DSsY2hoyFQoKCgQCAR5eXmiAxKNPpEtogEbGBhwudzc3NxGa5aUlCxevHjdunX0prW1dWBgoJubW3p6upubW2xsbBtF3Byxd9vIyKjhu+3t7T1w4EAHB4dDhw4NGDCA7rsQfSu4XK6BgUFTb0UbKy8vr6ysFP1eSfj+7NmzZ/Lkydra2vSml5eXl5eXg4PDkSNHPD096YUf2gWxPyWKonJzc3Nzc/X19blcLlOuOH9K7R3GsWVDU1OT7s2g/8Wuqalh/hrF6tD3a2pq1NTUlJWVNTQ0RHtRG30iW0Rj4/P59fX1WlpaDauVl5ePGjVq1KhRX3zxBV0SGBgYGBhI31dRUfn555+PHj3aNjFL1vDdbviK1q5dS9+ZM2eOo6NjRETEhAkTNDQ06urqmDrV1dWNvhVtT11dXUlJSfR71dT3p6Ki4sSJE1euXGFKfvjhB/rOnDlzunXrdvbsWWZAWMGJ/SkRQrS0tEQLiYL9KbV3aE/IhqWlZX19fXZ2Nr2Znp5uaWkpVqdTp05MZ0VaWlqnTp0IIVZWVm/fvhUIBBKeyBaxgJWVlek1ZERVVlaOGTPGxcVl+/btje7E2dlZcf6tE31FQqEwMzPTysqqqcpqamr29vZ08KJPLCwsrKqqUpCPSUVFxdTUlIktPT29qVd07NgxS0tLDw+Phg+pqal17dpVcT6mZol9MzU0NIyMjKysrCorK9+9e0eXK9SfUnuHPCEb+vr6fn5+f//9NyHk3bt358+fp1dZKSws3L9/P10nKCjo0KFDdEo4cOAA3U3cp08fQ0PDM2fOEEKSk5NjY2OZ/8RZFxQUdObMmdLSUkLI/v37AwIC6I61K1euxMfHE0Kqq6vHjh1ra2v7559/io5VMPmysrLy6NGjffv2ZSP8RowePfr58+d08BcuXFBTU6N/N588efLvv/8SQmpra5kxmISEhOjoaDr4oKCgixcv5uXlEUL279/v7e2tOGf6Tpgwgf6O1dXVHTlyhP5e8fn8/fv3058dbe/evUyDjxBSW1vL/KQmJibev39fcT6mRlVXV+/fv58+jTAoKOjkyZMVFRWEkP37948fP57D4ZiZmQ0cOJB+K/Ly8i5dukT/DYIMsD2Q3nHExsaam5v7+PhYWVn95z//oQujo6MJIfX19RRFVVZWent7Ozs79+nTx83NraCggK5z7tw5IyOjYcO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"execute_result" - } - ], + "outputs": [], "source": [ "visualize(u)" ] @@ -1002,18 +402,10 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": null, "id": "b52c8b2f", "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "It's not correct. Keep trying! 💪\n" - ] - } - ], + "outputs": [], "source": [ "answer=\"x\" # Replace x with a,b,c,d,e, or f\n", "pdes_check_0(answer)" @@ -1029,21 +421,10 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": null, "id": "ec0622d6", "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "generate_system_sparse (generic function with 1 method)" - ] - }, - "execution_count": 12, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "using SparseArrays\n", "function generate_system_sparse(u)\n", @@ -1085,30 +466,10 @@ }, { "cell_type": "code", - "execution_count": 13, + "execution_count": null, "id": "a5cc7201", "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "9×9 SparseMatrixCSC{Float64, Int64} with 33 stored entries:\n", - " 4.0 -1.0 ⋅ -1.0 ⋅ ⋅ ⋅ ⋅ ⋅ \n", - " -1.0 4.0 -1.0 ⋅ -1.0 ⋅ ⋅ ⋅ ⋅ \n", - " ⋅ -1.0 4.0 ⋅ ⋅ -1.0 ⋅ ⋅ ⋅ \n", - " -1.0 ⋅ ⋅ 4.0 -1.0 ⋅ -1.0 ⋅ ⋅ \n", - " ⋅ -1.0 ⋅ -1.0 4.0 -1.0 ⋅ -1.0 ⋅ \n", - " ⋅ ⋅ -1.0 ⋅ -1.0 4.0 ⋅ ⋅ -1.0\n", - " ⋅ ⋅ ⋅ -1.0 ⋅ ⋅ 4.0 -1.0 ⋅ \n", - " ⋅ ⋅ ⋅ ⋅ -1.0 ⋅ -1.0 4.0 -1.0\n", - " ⋅ ⋅ ⋅ ⋅ ⋅ -1.0 ⋅ -1.0 4.0" - ] - }, - "execution_count": 13, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "N = 5\n", "u = zeros(N,N)\n", @@ -1214,21 +575,10 @@ }, { "cell_type": "code", - "execution_count": 14, + "execution_count": null, "id": "2f70617a", "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "jacobi! (generic function with 2 methods)" - ] - }, - "execution_count": 14, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "using LinearAlgebra\n", "function jacobi!(u,f=zeros(size(u));reltol=0.0,maxiters=0)\n", @@ -1263,556 +613,10 @@ }, { "cell_type": "code", - "execution_count": 15, + "execution_count": null, "id": "7a8ff556", "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Jacobi converged in 136 iterations\n" - ] - }, - { - "data": { - "image/png": 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"execute_result" - } - ], + "outputs": [], "source": [ "N = 10\n", "u = zeros(N,N)\n", @@ -1833,7 +637,7 @@ }, { "cell_type": "code", - "execution_count": 16, + "execution_count": null, "id": "67e79b9c", "metadata": {}, "outputs": [], @@ -1843,131 +647,10 @@ }, { "cell_type": "code", - "execution_count": 17, + "execution_count": null, "id": "86c8fbb7", "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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"execute_result" - } - ], + "outputs": [], "source": [ "Ns = [20,40,80,160]\n", "reltol = 1.0e-6\n", @@ -2064,870 +747,10 @@ }, { "cell_type": "code", - "execution_count": 18, + "execution_count": null, "id": "9f8dbf39", "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "Converged after 158 iterations." - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "image/png": 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"execute_result" - } - ], + "outputs": [], "source": [ "using IterativeSolvers: cg!\n", "N = 80\n", @@ -2943,149 +766,10 @@ }, { "cell_type": "code", - "execution_count": 19, + "execution_count": null, "id": "30c6e04e", "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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FxQEBAcHBwexuRUVFUVFRcrlcLBYHBwcz825ycnJWrVr1xRdfVHJIAGYttaC0wj1KRmcU0x3cqDARZ30Yp40LxcGdqdpDm4OgoKD79+9X6SPp6emurq6vd7rr168L7Gzndmwc+2540tx+SXP7PX+v79JegXY21rt27Xq9Y1bG4cOHu3TpQtN0cXGxk5NTXl5eBTsnJyfb2dlV5rCTJ0+2srISCATz5883uENOTk6LFi169+49cuRIiUQSHx9fyQEfPHiwQYMG4f9iptXoiY2NbdWqlVqtZr5cunSpg4PDG2+8ERERERQUFBoaymyPjIwUi8Xt27efOHFi3759RSLRmjVrmLcGDRp07NixSg6pniksLLSxsTH1KOD15ebmvnKfZ7naP55opl9U++1UibeVjIpUr7qvuZGu1RphfEDTNE3jilAfTdNT3o6Y2spzXsdG7EYeh3qrpXcDG/7MaVP79etXcetOg9RqdUFBgYODQ0xMjFAoZIr8kpKSCgsLGzVqVLaKPDs7Ozs7u6SkRCgUMjM+UlJS8vLyGjVqVNUJIIsWLVqzZk0FxfW//fabSCQ6deoURVEzZsz47rvv1q5dy7xVXFz85MkTT0/P8uoQgoKC2EJAg1avXv32228z3+Du3buXL19+4cKF1q1bM+/u3LmTEJKUlDR06NCVK1dOmzaN2Z6enh4dHc28nj59+ooVKyouEQEwL/HK0su+c1JaTdNhIg5T6tDCCdd9JlAn7jR/8MEHX375palHUeru3btPnz17t61f2bcGNxGL7K3LdvWsjMuXL7dt27Zv375Tp07dsWOHTCbr1q3b0KFDp0+fHhwc/OLFC92dFy1aRAiJiIgYPXp0TExMQUHB4MGDe/XqNXXq1GbNmt2/f79Kp/b397e1ta1gh8OHD48aNYpZ2GH06NHsN7hjx45GjRp9+OGHISEhzJDKKiwsPHfu3O3bt9nyf100Te/Zs4ctIvz5559nz57NpiAhhOlNunnz5sDAQDYFCSFubm5DhgxhXvft2zcqKqr6E4ABTEhDk4fZ9IZY7ejTGrdtqj5HNVEyOkxMnR9U2tV6ejOkoMmY/opw9+7dDx48qPxzqddGa9QFN06TVy1HcOvk2WZuDrY8w/Ni2rja3jl5aJj/q8u0bVuHcewddLc8ffp0w4YNTDOUcePG9ejRg4n/lStXzp8/f9euXeyeP/300/r16w8dOsQ03V66dKlSqXzw4AGfz1+2bNmMGTMuX76se+T/+7//K9tfu0ePHkxT71dKSUlhnx16eXnJZDK1Wp2cnPzBBx9cuXLFz8+voKCgTZs2gwcP1iuoJ4Tk5uYuX748Li7O1tb2yJEjfn5+uu/GxcUVFBQ0adKE+fLevXsGm8k9ePCgTZs2zGum/xwhhMvlOjg4EEKsra0DAgKuXr1qcBULgDpLQ5M72ZxbCdpLcvp0qrbBv409f+jI8xEg8+oQEwdhZmbmpk2b3n///S1bttT6ydQqVdJTWvuKICxKl1YwN5RHkaLsjJLkp688m3XTNnpB6O3tzaQgIeTo0aMffPAB058sLy9PL9j0nDt3LiIigs/nE0ImT568aNEivYZqO3bsoMvUg1KVXjJFrVaz92a5XK5Wq9VqtadPn3Z1dT158iSzXSQSXb58uVGjRswdS6FQ2LNnz/79+zPXbRqN5q233vrwww/37t2re2Smcyk7ErVardewrez2u3fvjh49Oj8/38XF5eHDh8xGV1dXprcAQB2n19jT3ZrfzYMe5U/90oXvhsaedZWJg/D9999ftmxZZmamEc5FWds2GPnqJtStPKKe/blfraV5hiZpPc5VTR40xmn0jNcYAPtkUa1W5+fns6s0iMXiiu8M5+fns82jBQIBTdN6Qbhu3bqbN2/qfapZs2aVnIAqkUjYG49paWkuLi5WVlYKhUJ3HYkJEyaEhIRIpVLmytXLy6tnz55MNhNCuFzuuHHj5syZo3dke3t73aE2adIkNja27IVdo0aN7t27x7xu27bts2fP9u3b9/nnn+v+BJiLY4A6qFBNbuo09vSxp8LEpY09+SU1X1APNc6UQXjixAlCiJOT08OHD/Pz8+VyuV7LZpMIDQ21Ewr3xqSMbaHftPqmNOe+NIt9dvXaeDxeUFCQp6dnedXlPB6Px+OxT90CAwOvXLnCdOiOjo4WiUSurq66TbcDAgKYRZp0eXh4VDAGZgkL5t5jt27dTp48+fbbbxNCTp061b17d0JIcHAws7i8bhwSQnTXTdR1586dsrUZTZo0USqVmZmZTC1ERETE6tWrp0yZwi7E8eDBg6CgoPHjx69atSo6OppZjLes+Ph4rKYEdUq+mtz+N/yYxp7MGu56jT2VJaYbIlRarQShQqG4cuXKrVu3BALBe++9x24vKSn59ddfb9682bRp0/fff5/L5drZ2X377bfJycmxsbEHDhyYMeN1rrRqFpfLXbN2/bixY+z5vMFNxez2aynZ75569PniLyQSSfXPsnLlyvHjxz979qxx48bPnz/Pzs5esWIF+y6Hw2nXrt0777zTpk2bcePGffTRR2FhYUKh0NPT85tvvvnqq6/0jsbecTVo//79x48fv3z5so2NTXZ29qhRo8LDw+/evcs23WZO9PHHHzs7O69cuZK5HdqrV6/Q0NC+ffu+/fbbNE1funRp2rRpnTt31j3yvHnzKIry9vaOiYnZtm1b2eeUAoGga9euFy9eHDp0KCFkzpw50dHRrVu3fuutt0Qi0e3bt0+dOpWcnBwcHPzjjz/26dNnwoQJQUFBRUVFe/bsadasGXOQR48eWVtbIwjB5JjGnmW7Wu8L5zjwTT04qIZa6TW6fv3633//3drauqCgQHdZgOnTp8fExMyZM2fHjh0KheL06dPM9pMnT27cuJFZpdYg4/ca3bt374ypU11tuO1EAisOdT+r6JE8e8mXX3308cevd0CpVHrp0qWRI0eyW168eLFv3z6pVOrt7T1w4MDGjRsnJCTcunVr2LBhhJDc3Nxjx44pFIrBgwdLJJLExMSdO3cqlcq+fft27dqVEJKfn799+3bdmZbluXbtmm6/sdDQ0JYtW2ZkZOzevXvmzJnMqrnPnz//448/iouLx44dy87qpGn6yJEj0dHRPB6vdevWAwcO1Ls6vH379vHjxzMyMsRi8fDhwxs1akTK2Lt3786dO3WfHZ45c+bcuXNFRUXNmjUbNWoUe+MoLi7uwIEDMplMLBZ37NixW7duzPZPPvlEIBB88sknlfpB1y/oNWpyShW5+m9X6wfZdJBT1Rp71kavUahxtdh0e9u2batWrWKDMC0tzcfHJy4uztvbu7i4WCQSnT59um3btoSQzMzMlJSUVq1alXeoxo0bz5w508fHh/nS09OzvHtorIyMjBYtWlRnzn1eXt6hQ4du376tVqsDAwPffPNNd3f31z6axaJpOjQ0dOPGjWUXr6gMhULRqVOna9euWeZvEyYI2SU1wDjSCsm1DPqSnD6dSp4o6A5upIuIChNxwkTEuoptFhGEJsf8W79ixntGePPmTW9vb29vb0KItbV1p06doqOjmSB0cXHRW8dOj1KpPH78OPNAixDi4+OjW4tmUPX/ES0QCMaNGzdu3LhqHsfCURR15cqV1/64o6NjTExMDY7HHJVddRlqnLyIupxORadzrmRwnuaSdq50TxG9rLW2nYuWbeypKSZV/T9RWFiIHsWmZWNj88omJMYLQplMppt2bm5uUqm0kp91d3dftWpVlW6NFhUVVW185YjLjs8tVrYVvyJ3AWoPZszWEoONPacEUjXY2JOmafzvq/uM11nGxsZGt/lIcXFxxe1O6ogrKTeOPD1pnHPdvXv3m2++qeTOOTk506dPr+TOcrn83LlzT5+WW/6oVCp37tz5559/Vulmcnp6eqSO8spg1qxZo3vqxMTEbdu2bdmyJTo6WvfOvFKpPHz48IYNGw4dOlTJfyQVFxdHRkYabGpTVRs3bjx//rzeRoVCofsU9tq1a9u3b2de0zT95MmTyMjInJwc3Y/k5OT89ddf27Zty87O1t1+48aNDRs2XLhwgd2ya9cutn5Uq9UuWLCguLi4+t8IVCxeSf8Zp50RpfHfpW67X70nng5sQP3Zgysbzz/clze/NaetK9pbWxzjBaGXl1dSUhL7iy8xMZHptwmspKSkY8eOEUJKSkqcnZ0rfjKUn59fXiWDngkTJvj7+w8bNmzTpk0Gd8jOzg4JCdm+fXtkZGSLFi3i4uIqOeDo6OhRo0Z9+6/4+Piy+zx8+PC3337z9/dnvvzss89atmx54MCBq1evvv/++yEhIcz2f/75x8/Pb+XKlXfv3t2yZUtISMjKlSv1DlVQUKB5uTFQVlZWnz59mE401XT69OlHjx7pbdRqtWwhP03Ts2bNCgwMZL50cnIKCwvr37+/bsc7qVTKfHdHjhwJCgpiS1xWrFgxdOjQ+/fvT5ky5eN/51u1aNFi1qxZzN8IDoej1Wp//fXX6n8jFmXlfW1aJZ6BxCvpDbHaiHMa353qsMPqI4l0W1fqcF9u6nj+7t7cuUGctq6Vbj8B9VLt9fPeunVr27Zt2S9LSkokEsnRo0dpmo6JibG1tU1LS6vkoYy8+oSuP+/v+uLid9U/TmFhYVJSkkajuXHjxrNnz2iaVqvVjx8/vnnzZnFxMbMPu/oEkyj3799/9uxZYWEhTdMajSYuLu7GjRvMl3RVVp9ISUlRqVSTJk0qb/WJ5cuX9+vXj3k9e/bsqVOnsm8pFIqrV68y/4Ip6+DBg2FhYRWffdq0aatXr2Zeb9261cnJKSYmRvcIzPdrZ2e3bds2dnt2dnbZFSfeeOON06dP625JTU0lhGRmZjJfJiYmRkVFlV09g9menJzMbsnJybly5YruljFjxvz666/MElFKpZLZqNFoUlJSmNdnz57t2LGj7jFpmnZzc7tw4QK7ceHChaNHj2ZeT5gw4aOPPqJpWqlUOjo63rhxg/mUjY0Ne8zOnTufOnWKeR0XF+fj48Mu08HA6hMVa75H9SjbwCINGi39IEu7PkYzKlLturXEf6fqrbPq9TGaZ7nGXtGhMqtPgMnVyhXhpUuXGjVqNG/evAcPHjRq1GjKlCmEED6f/+OPP0ZERAwZMoRps+nm5lYbZ6+brl271r179969e8+fP//w4cMpKSmhoaFTp05dtGhRq1at9G5afvvtt4SQOXPmzJgxIy4uLi8vr2/fviNHjly4cGFAQMCtW7f0Dk7TtLYM+t+Lbw8Pj4qfFR89enT48OHM6+HDh//zzz/M682bNwcFBS1btqxXr17/+9//DH42Ly/v8OHDly9fNnhbT6vV7tu3b8CAAcyXv/7663vvvccWCBJCmO4EW7Zsad269fjx49ntDRo0qOpyE59++umIESNWrVrF1D4yG4uKikaOHNmzZ88VK1b069fv3LlzhJBdu3YFBAR8/fXXnTt31u2Gc/To0f79+3/99deNGzdmOsnJ5XL2WnbPnj39+/dnd2amfek5cuTIiBEjmNfsT/LSpUsNGjRg5oV5e3sHBwezjesGDhy4e/du5nXjxo1tbGyqM7HIwmlocjODXv2gtKv1kJOaKBkd7kndGMp7Nob3Zw/u9GYcfyEu/MCAWpksExISors0j52dHfNizJgx3bt3Z9KxYcOGtXHqCqg0qgNxx1TaVzxPSi/IiM9OYL+U56cXaYrnnvqviE0scPd1NPBLUBeX4vZt2MPJ5qVO4s+fP9+6dStTkz5q1Kg333yTWdLhl19+mT9//r59+9g99Zpuf/nllxRF3bx5k8vl/vjjjzNmzLh+/brukcePH2+w6TZzo/WVUlNT2TY0np6ecrlcrVYnJCQsXLjw1q1bHh4excXFbdq0GT58eFhYmN5naZresmVLbGxsSUnJsWPHGjdurPtuXFxccXExW1/44MGDjz76qOwAHj16xE4DLioqYq7zrKysqnTzfNGiRV9//TUhRKVSBQcHX758uXPnzj/88ENmZqDaDdoAACAASURBVOajR4+YXqYlJSU5OTkzZsz4559/unTpwizEOHDgwH79+jE/h+joaCsrq02bNs2aNUvvHxzXrl0rbwkOlt5PkvlGdHua624nhLRu3Vq32XqrVq2uXbvWpUuXyn/XFo4m5GE2fTKZviSnT6Vona1Lu1qv7MTzskfmQWXVShDa2tqy/47WIxaLxWKxwbdqm4bW5BQrtFptxbspi/PzSv57OKfSlmi0Gt0typI8ZXHeK09XrNHvreTt7c12Zjl58qSPjw9z5Zeenl7xdcDFixfHjx/PTMKeMGHCvHnz9B4fsjM4Xo9Wq2X7YnM4HOb68syZM46Ojlu3bmW2C4XCq1evNmrUiLmocnR0HDBgwKBBg5hLOpqmJ0+e/OGHHx44cED3yOnp6U5OTuzBtVqtwWtT3e2PHz+eMmVKdna2jY0N03Q7NDQ0NzeXEJKYmBgTE8O0XZ07d67eXCGlUrls2bKHDx/m5uZmZmbGxMR07tw5MjJy6tSpbEdvKyur6OhoFxcXJmwaNGgwZMiQ8+fPM0E4fPhwZs+xY8dOnz5d79Ej871U6SepVquZH45uA3QOh8M+6XRxcUlLS2Pf0vsSDNrxTDvubOkPkCJk1OnS18P8OH+Ho1ABXofpl2EyGhuezbTWb1X1U1sf7I7PSVgcZuA6pqrYOki1Wl1YWOjq6sr8YnVycmIuZcrDPChiXtva2tI0rVccsnr16mvXrul9qkWLFpXsxiKRSNjfvzKZzNXV1crKKi8vz97env3VP2XKlJCQkKysrLNnzxJCPDw8BgwYwFaqUhQ1YsQI3XZ6DIFAoFsD17Rp00ePHg0ePFhvtyZNmrCNF1q3bn3jxg3dpttbt25lkmPatGlTp07t2LEjIaTsffUhQ4aEh4cvWbLEzs7u3XffZX5EBQUFepOTdX+YhBBbW1u25JTdbm1tTVGUXimqXgNxg/R+kszVoVgs1o03uVzO5C4hJD8/X7faOj8/3+AdVyD/rmQbmUJHpmr9hVS4JxXuSX16Q3ugD7d5A1z8QbVYUBDWHUzHMrFYPGnSpPJ24PP5JSWl15RBQUGXLl1i1rC9ePGih4eHi4uLbtPt9u3bl+2AWnEHc7VazbRGI4T07Nnz+PHjzGCOHz/eq1cvQkjbtm1XrFgxfvx4duELBrN0VFnXr19nW/+wmjZtmp+fn5GR4erqSgiZNGnS8uXLJ0+ezMbYzZs327ZtO2HChJUrV549e9Zg01T2dqu9vb2Xl1dAQIDBb+f69esnTpxwdHQsLi5m4zYkJOT06dPscztCSGBg4PPnz5lGboSQixcvvvPOO8xbzHNBQsiVK1fc3d3d3d11qziCgoLi4uJ0HxOW1atXr+PHjzNN8tifZGhoaHJy8tOnTxs3bpydnX39+vXff/+d2f/x48e61bFPnjwZNWpUBce3NOwy7mektDWHMLc9f+zE8/z3tufim6+4wQNQGQhC01i1atWoUaNiY2MbN24cHx+vVCrXrFnDvsvhcDp16jRlypSAgIAZM2Z89NFHXbp0sba29vDwWLFixbJly/SOptcLW4/Bptv379/Xa7o9e/ZsJyenNWvWnDlzhhDSrVu3Pn369OzZMyIiQqvVRkVFzZkzR+8Z4ezZszUajY+Pz6NHjw4ePHjo0CG9U9vZ2XXv3v38+fNMFM2aNev69estW7YcN26cm5vb7du3r169mpCQEBQU9Ouvvw4ePHjEiBEtWrQoKCg4cOBAcHBwJX+YFEXxeLzQ0NAZM2b07t1779697L3QTz/9tEuXLtOnT2/fvn1MTMyoUaNCQ0OnTZs2YMCAKVOmnD9/XqVSsZN07t69O3v27GbNmv3www9LlizRO8uAAQMOHTrETq5ZsmRJamqqUqn84Ycftm3b9uWXX4pEorlz53bo0EEoFHK53L/++ou54+3s7Dxr1qyhQ4dOnDhx3759I0aMYB+aXrhwgZ1JpFAo4uLimKU/LJm0gETJtZEp9IlkukRLh4k44Z7UV+04vljJFmpNLfYarUHGb7rNqqlbo2WbbqekpBw+fDg1NdXb27t///5eXl7Jycn3799nrjkKCgrOnDkjlUoHDRokkUikUunff/+dm5vbp0+fdu3aMTvs379fd6ZleQw23c7Kyjp06FBERARzezMlJWX79u3FxcUjR47UndUZGRnJ3HQNCQnp1auX3rK6Dx8+PHPmjEwm8/T0HDJkiMG5LQcPHvz9998PHjzIbrly5crZs2eLi4ubN28+ZMgQ9tZlUlISM5/W09OzQ4cOzLepKzIyMigoSPcZ84MHD5g453A4OTk5f/zxR3Z29uDBgxUKhUgkYhasyMnJ2bNnT1JSkr+//8iRI5n5R0ePHr1x44a3t/fYsWOZAZw+fVosFj98+PDhw4fdu3dnLuYKCwv37t371ltvMa+bNm16+/Zt5up27969WVlZ7EjGjBnDrDf5/PnzXbt20TQ9ZswY9kk5TdP79++/detW8+bNx44dyzzuzc7ObtmyZWxsLDOk9evX37p1a/369brfsoU03U4rJOdlWrbDS3cxp4uIChNTbV1fEX6bHmuH+XFc9Jcgq0PQa9QsIAhf4bb8fmZhVrifpf87/bXRNN23b981a9YYvKVZHRcuXFizZk1OTg5bjVDb1q1bl5WVVVPrYPzwww9WVlbMJaZGo+nevfvOnTv1/jFRj4OQWdIoMlUbmULHKegO7lS4ByfckwqpX7XtCEKzgCAEc/X2228LhcJFixbVyAqRdVM9C8ICNbks/29Jo/ZuVLgHp4uI6uhO8Y3X5MqoEIRmAc8IwVz98ccfph4CvJpaS+5mlc72ZBez/SKE21VMVXVJI4BagiAEgBqmocmdzNLwu5JGBzhS4Z7U/FbcLiLKFr9yoO7Bn0oAqBlsqR/b5GV6M86e3pwGVq/+LIAJIQgB4PWx4XcmVetoRYV7UqP8qbVh/Lo8kxNAD4IQAKqGXc/2WBKtpktL/X7oyPNBqR+Yp/ochIWFhUwzTwAzxXQrrQvkheSCTBuZQp9KoQvUdDcxJ9yTmt8a6zlAfVBvg9DJyenjjz/WWyUcqqqkpESviB6MzIT/mMsoItFpWubijy3129ObU89K/QDqbRByuVy2azO8NlRBWZp8NYmWl9a5P1HQHd2pcA/O+jBOGxeKg/SDeqreBiEAVFKhmtzMoC/J6chU7fV0OsiJChNTy9tzu0koq3pa5w6gC0EIYIkM1rnPb8UNE1M2qHMHC4MgBLAUTJ17lKz04k9iS4WJqenNOHt7cxzxIBgsGIIQoJ5jS/1Op2ob/Fvqty6M74xSPwBCCIIQoF6KV5Ze+R1Noq04pIuICvekVnbiedljxguAPgQhQD0hKyQXZdrIFPpkCl2kpruKOeGe1MLWHD+U+gFUCEEIYMbSi8g5qZa5+EvMo3tIOF1E1PRmKPUDqAIEIYCZ0V3SFqV+ANWHIAQwA8yStlFy7SU5fT2dbu9GdRFRy9tzu0vq7ZK2AEaDIASoo8or9cOStgA1C0EIUIewS9oyF3/+Qirck5rTgrMvnOPAN/XgAOopBCGA6bGlfpGpWicrKtyTimjC+bM7xwmlfgC1D0EIYBps+J2Vah34VLgnNciH+rETzxOlfgDGhSAEMB5pAYmSayNT6OPJtEpbuqTt9x15vljSFsB0EIQAtSutkJyXaSNT6CgZnVFMdxdzmMd+LZwQfgB1AoIQoOYpVeTqv6V+7JK2qHMHqJsQhAA1w+CStqs6cTq5UzyU+gHUYQhCgNdnsNQPS9oCmBcEIUDVsKV+kanaK2l0gCOWtAUwbwhCgFfT0iQmh74kL13VT/zvkrZ7enMaYElbADOHIAQoF1vqdyZV6/jvkrZrw/guqHMHqEcQhAAvSS0ovfI7lkSr6dJSvxWdeN6ocweopxCEAEReSC7ItJEp9KkUukBNdxNzwj2pBa05DbGkLYAFQBCChcooItFpWubiLzGP7uhOhYk4e3qj1A/A4iAIoT6QFpBnuXSY+BURZrDUD0vaAlg4BCHUBzcz6PWxmjCxgT/PhWpySWdJ2yAnKkyMUj8A+A+CEOqh8pa0RakfAJSFIIR6gibkZgYdJaMvyenIVK2/kOoioqY34+ztzXFEqR8AlA9BCGZs6CnNrQy6UE3y1KREQ59KVtvyKFsuOdKX11mEh34AUCkIQjA/mcXkdIr2VAp9M12rJlQPD+JkTcVm01t6lP559rRDCgJAZSEIwTzoPva7nk63d6PCPTgH+vKYaocjibS0gPZH2R8AVB2CEOo0tskZ89iPmfPSVUxZY84LANQQBCHUOeyS7seSaD6HMB0+14Xxncvv8OlhR7qIUAwBAK8DQQh1AlPtp1fqfrw/J7BBpe52hrhSIa64LwoArwNBCKb0MJs+kqi/qm13CcXH1R0AGAuCEIxNVkguyrSRKfSRRNqGS8I9Ue0HAKaEIARj0G3ymZhH95Bwwj2pT4I5vgLczwQAE0MQQm3R0OROpn7BAzpcA0BdgyCEGqZb8OBkRTF3Pv8O5wj5ph4ZAIAhCEKoAXkqclaqPZL40sK2P3bieWJVdwCo8xCE8JoMtnrBwrYAYHYQhFA1aPUCAPUMghBeLb2InJNWrdULAIC5QBCCYUyrl6MveBfS1Wyrl/19OG3RwAUA6hcEIbwkXkkfTqCPJJW2eunmRtDqBQDqNwQhGG71sqc3p4EVUSoLhVjbCADqNQShhUKrFwAABoLQgui2erksp9u4UIN90OoFACwdgrD+Q6sXAIAKIAjrpzwVuZJGH07UHk6k89V0dzEn3JNa2YnnhVYvAAAvQxDWH2j1AgDwGhCEZg+tXgAAqgNBaJbYVi/Hk2mVlg734KDVCwDA60EQmg2m1QtT8MC2evk7HK1eAACqBUFY1zF3Pg8nas+m0s0aUOGe1PL23G4SygqtXgAAagKCsC6SF5ILMm1kCv1PEm3NIeGeVEQTztYenAZWph4ZAEC9gyCsKwrU5PK/dz4T8uieEk64J7WwNccPHc4AAGoTgtCUdFu9ME2uB/lQ68O4aPUCAGA0CEITYAseTqdqG/zb6mVfOMcBrV4AAIwOQWgkTKuXyFTt4QQ6oxitXgAA6goEYS3SvfPJtnr5swdavQAA1CEIwpqHVi8AAGYEQVgzMorIWak2MoU+kUyXaOkwESfck1odypfYmXpkAABQIQTh6zPY6mUfWr0AAJgVBGGVsXc+T6VoGzmg1QsAgHlDEFZK2VYvo/ypDV35aPUCAGDuEITlQqsXAABLUKkgTExMvHfvXqtWrXx8fGp7QKalpcntl1u9MHc+e0goHu58AgDUR4aDcMyYMYGBgYsXLyaEnD17dsCAAUVFRVZWVjt27Bg+fLhxR2gMaPUCAGCxDAShWq0+cODAlClTmC8XLlzYrFmztWvX/vbbb++///6bb77J5dbpgjilithyySsv4NhWL5EpdFJ+aauXFZ143mj1AgBgSQwEYVZWVklJSaNGjQghaWlp169f37ZtW6dOnfz8/DZt2pSYmNiwYUOjj7MKBp1Qf9WO201sIM8MtnpZH4ZWLwAAlstAEPL5fEJIcXExIeTo0aM0Tffq1YsQ4uTkRAjJzMys40FYlm7Bg4cdNdiXmt+KGyambOr0lS0AABiDgSB0cnLy9PTcuHHjZ599tnHjxpCQEJFIRAh58eIFIcTNzc3IQ3w9uq1eijV0VzEn3JNaFcrzsMO1HwAA/MfwZJmlS5dOmjRp1apVXC53z549zMYjR464ubnVzYmjjxX0yvta5vUjBT3khLpQQzzsqBBX6mR/blNHhB8AABhmOAgjIiLatm17+/bt4ODgoKAgZqOnp+dPP/1E1cmnaUI+YRubHU8iXXw43cQUhyIedhRSEAAAKlBuHWGLFi1atGihu2Xs2LG1P57X5GFHTW9WGnh/PdXObM4xOFkGAABAT7lBSNP0ixcvkpKSSkpKdLeHh4fX/qgAAACMxHAQ3rx5c+rUqXfu3Cn7Fk3TtTyk6hLyCQ9XgwAAUDmGg3DChAkFBQWbNm1q3ry5tbW1kcdUTUf6oYEqAABUloHMyMnJiY2NPXLkyMCBA40/IAAAAGMy0IiMy+VyOBxzqRcEAACoDgNBKBQKhw4dum/fPuOPBgAAwMjKrSN855130tPT33jjDWdnZ923MGsUAADqE8rgLFCxWCyXyw1+wCSzRlu2bLljxw62tB+MRqlUCoVCU48CwFzhb5BZMHxFePLkSZVKZeShAAAAGJ/hIGzVqpWRxwEAAGASFZXcpaSkPHjwICkpSSKRtGjRws/Pz1ijAgAAMBLDQahSqWbPnv3bb79pNBpmC0VRI0eO/P333wUCgRGHBwAAULsMlE8QQhYsWLBp06apU6eePXs2Njb24sWLH3744aFDh6ZPn27k8QEAANQqA1eEKpVq48aNX3zxxWeffcZsCQgICAsLCwgImD59+k8//eTq6mrcQQIAANQWA1eE6enpSqVy6NChetuHDRum1WqZdeoBAADqBwNB6ODgwOVy4+Li9LY/efKEEOLk5GSMcQEAABiFgSAUCAS9e/eePXv2mTNn2I03btyYNGlSUFBQo0aNjDg8AACA2mV41ujatWt79+7du3dvNzc3sVicnp4uk8nc3NxOnDhh5PEBAADUKsNB6O/vf+/evT/++OPixYtZWVlNmjQJDQ2dNGmSi4uLkccHAABQq8otqBcKhbNnz549e7YxRwMAAGBkhusIAQAALMR/V4QHDx787LPP5s6dO2XKlJ49e2ZmZhr8wL1794w1NgAAgJfQNK1Wq/l8fg0e878gdHJyatmypbu7OyGkefPmCoWiBk8DAABQHY8fP/5o9szkF8+5FGUtEC5e/kOfvn1r5MiG1yOsa7AeoalgNTWA6sDfoJry+PHjsQP7Lu3g2dLdgRAizy/++NKLGZ8vHT32/6p/cMPPCLdu3Vp2YV65XL5hw4bqnxIAAKBKvl604PMQCZOChBCRvfWa7o2WLf6sRg5uOAg/+uijZ8+e6W2Mj4+fMWNGjZwVAACg8h7cv9fOo4HuFqE1rwGflDedpUoqWo9Qj1KpxBpMAABQq7T5ueqMVHVGqjo9tfRFhlSryNTSjbkUpbunSkNzudzqn/GlILx//350dDQhpLCw8ODBgw8ePGDfUiqVO3bsaN68efVPCQAAQAjRFuSpM6WaTJk6U6rOlKmkCWpZAqEIz0XCdRHzXCTW/kH2HfpwXcRdUhecS3jY2++/tY/k+cVqvk2DBg0qOH4lvRSEkZGR//vf/5jX3333ne5bHA6nWbNm69evr/4pAQDA0jCZp5YlqGSJpeGXnkI4HDbzrLwa2wV3ZV6X/finXy/r3z1MTZM+fi4cironz/38esoPGzbXyNhemjVaVFRUWFhICAkICNi6dWuHDh3YtwQCQc3WbVQJZo2aCua8AVSHZf4N0igy1fJEdYZUnSljMk8lT6J4PDbz+GIfntiX5+bBsbGv/GEzMjK+WPjxlagorVbTuGnTJd+trKmblC9dEdrY2NjY2BBCrl+/LhKJmNcAAABl0Rq1Jiddkyl7KfNkCRTfiify5Ut8eS5iO+9uXBcx392Lsrat5ulcXV3XbPy9Rkaux/BkGV9f39o4GQAAmCO9zFPJEtSyRE1uJtfBhesi5rlK/ss8kQ9lZW3q8VaN4SCkaXrt2rW7du16+vQpc7OUlZWVZZSBAQCACdCqEk1u5r8P82TqDKkmU6aXefbtw3liH767F+HUwKRNkzMchF9++eWSJUuGDRuWnZ0tEAiCgoIiIyPT0tKmTZtm5PEBAEAt0Zu0WTbz+CKf0gksTiLCqbeLNBgOwl9++WXRokVfffXVpEmTPD09v/766+Li4vHjx6elpRl5fAAAUH1lM08tS9AW5vFcxDyx70uTNp3F5OVyvXrPQBBmZ2enp6ePHDmSEMLhcJhbo9bW1t99912TJk1WrlwpEomMPUwAAKgcNvNUsgSVLKGqhQoWyEAQcjgcQghTri8SiZ4/f85sF4lEWq02OTkZQQgAUBcYKFRIS6a4XDbzbJq24Yl9+RJfji36gpXLQBA6Ojq6u7s/fvw4KCioTZs2a9eujYuLa9Kkya+//kpRlI+Pj/FHCQBgySoqVHCR8MQ+fLFvDRYqWBrDzwiHDRt25MiRESNGDBs2bMmSJQEBAQ4ODgqFYurUqW5ubkYeIgCA5ahKoYI3ZYVq7xpgOAjXrVtX+jaPd+nSpd27dz9//jw4OHjUqFFGHBsAQH1Gq1UaRcYrCxW4LmK+2JfiW5l6vPWWgSAsLCz86aefBgwY0LJlS0KIo6MjqiYAAKoDhQp1mYEgzMnJWbBgQY8ePYw+GAAAs6ebeYWypCJFBpN5KFSoswwEobu7u4uLS1JSUseOHY0/IAAAc6GbeczDPHV6KuFQ7KRNrqShoH0vZF4dZyAIuVzukiVLPv/883bt2vn5+Rl9SAAAdY62IE8lS1DLEsorVLBu2MI+dIBeoYJSqbS2vNUnzI7hyTJ37tzJyckJCAho2bKlt7e37gJMu3fvNtbYAACMzXChgjyR4vGZzOOLfe2Cu3FdxDw3T46NnanHCzXAcBAmJCR4eHh4eHgQQpKSkow7JACAV1Aqldv/+ivmzk2Jt+/QkaMCAgJe4yBlM08tS1ClpXAFjjyxLwoVLIfhIDx58qSRxwEAUEnRly+/8/aEYT723ZztZInXJm/97c23Jn+86LMKPsIUKmgyZSppgkqeaLBQoTTzUKhgeQwHIQBA3aRSqd6ZOOG3Hr4i+9JF7wY1EU/evrlHn34dOnQglShU4LmIbVt04Il9UagAjHKD8N69ez///PODBw8oirp8+TIh5LfffhMKhaNHjzbi8AAAXnL16tU2rnZsChJCOBQ1JcDlj8/e93ujgzojlWjUXFcPnquE5+ph5RNgF9KT5+bBdXQx4ZihjjMchKdOnRo8eLCXl1fDhg1jYmKYjQUFBV9//TWCEACMjaY1igx1hlSdkZpw7B93rlrvfbHAOktBNxg2g+cq4QgamGSMYL4MB+F77703aNCgHTt2XLp0acKECczGPn36zJkzJzU1lZlEAwBQ87QadXaa/qRNnUIFX3eXv3NVeh96kpXftEM/K7/mJhkymDsDQZienv748eOtW7fy+XxKpwLU29ubECKVShGEAFB9Fa2oIPLlS3z/m8Cis6JCF5peuPXgtdScDh6lV37ZRar1MZn7fp5hum8FzJuBIKRpmhDC4+m/JZPJCCG2tljgAwCqhlaVaHIzK+4u/W+hgg9lZV3BoSiK2nnwyMQxI7c9exHkyE8rIVfS8r/7dUPDhg2N9u1APWMgCN3c3Ly9vXfv3t2mTRvdK8JNmzY5OTk1bdrUiMMDADNjhO7Snp6ep6Ki79y5ExMT00siWdWpk40Nivzg9RkIQoqiPv3005kzZ+bk5Pj7+6vV6pMnT+7atWvz5s3Lly8ve6UIAJbJQKfNDCmhCNt1rFa7SwcHBwcHB9fsMcEyGU616dOnFxQULF68ODc3lxDSr18/a2vrTz755MMPPzTu8ACgTtAoMtXyxPImsJR22mwfzrw29WABqqbcy7v3339/6tSply9fTktLc3R0DA0NdXV1NebIAMD4KprA4iLhiX34Yl/mYR46bUK9YTgIDx8+3LlzZxcXl759+7IbMzMzz5w5U7OL1GdnZ585c0ahUHTu3LlZs2Y1eGQAqFgVuo69agILgFkzHITTpk37+++/O3furLvxyZMno0ePZuaU1pSPP/7Y09PTzc1tyJAha9as0c1dAKgpVek65k44XFOPF8CoqjDzpbCw0M6uhu+EbNy4kXlhZ2d38OBBBCFANellnkqaoJYlEEJ4rsaYwAJgjl4KwidPnty9e5cQUlRUdObMmZSUFPYtlUq1efPmxo0b19I4Tp48OWDAgFo6OEC99MoJLP9lHiawAJTvpSD8559//ve//zGvP/tMf00TFxeXLVu21MYgVq9eXVJSwvZyAwBdFU9gwVKxANX0UhBOnjz5zTffJIR07Nhx7dq1ISEh7FvW1tZisZjLrdrDg5ycHBsbG71a14SEhOzs7MDAQCsrK0LIhg0bTp48+ffff1O4SwMWj53Aos6QqmQJKlli+RNYsFQsQM14KQgdHR0dHR0JIfv27WvdujXz+vXMmTNn586d6enp33333UcffcRuf/fdd/fv3+/j4yOXy48fPx4dHf3HH3/s3bu3oKBArVbb29u/9hkBzEtlJrBY+wfxxD58dy9MYAGoPYYny3Tr1q2axx02bNjs2bPZG62MS5cu/f333w8ePHB1dV24cOEnn3zi6elpZ2cXERFBCOnatevnn39ezfMC1EFlM08tS9AW5vFcxDyxLyawAJjWS0E4YcIEuVxe8QdOnTpVmeP27NmTEMJ5uZHg7t2733zzTaYwf8qUKc2bN8/Nza1MF+/k5OQ33niDz+czXwYGBu7atasyw4Bqys/Pxy3rKqEL8zVpSdq0JE2WXJstp7PT1OkpFJfLdRZTTu4cJxHXzZsf0M7aWcRxEv33KUJUhKgIIfn5phs71Dz8DTI5GxubV3YGfent58+fJycn196AEhISOnXqxLz28/PTaDSpqamNGjV65QclEsnKlSvZft9CoVAgENTeOIFF0zR+1AYZnsAiT6R4fGYCi7XYl9+oBddFzHPz4Njgnr+Fwt8gs/BSEF66dKlWT1ZQUMBOnOHxeHw+Py8vrzIf5HK5Xl5e/v7+tTk6AMMwgQWgfjPqUhJisTgrK4t5rVQqS0pKxGKxMQcA9VJRUdH9+/dzcnJatmxZzT9RlZzAwlQsUHyrmvoWAMCEjBqE7dq1O3jwIPP60qVLvr6+7u7uxhwA1D/79+1dsuDjYDc7Bx5nsVzZuku3H39dX5nV6SrIPKa1NCawAFiI2grCCxcuxMbGJiQkWFlZbdiwoWfPnk2aNHnrrbe++uqrb775JiQkZN68Dvj1FwAAFU1JREFUeXPnzsVjZKiOq1evrvjkwx3hjYXWpX+Stzy8M2fG1A1/bNPdjcm8f5dHl2oyZer0FMLhGGfZPACo42orCNPT0+Pj4/v3708IiY+Pb9euHSHEycnp/PnzP/7449WrV+fOnTt9+vRaOjtYiDXfL1sYImFTkBAysYVk6KFzaaf3WRcoyk5g4blIbFt05Il9MYEFAFi1FYQjRowYMWJE2e2BgYFso22A10fTmpz0uIcPmofrT6HyF/Ce3b0VFNLWrmEgz1XCc5HgYR4AVMCozwgBXo+2qECdnqxOS1GnJanTUlRpyer0ZI6tQEjUGQUlHsKXnghm0XzfsbOEHh6mGi0AmBcEIdQ57KIKerUKzBwW6yat7bsO4Xs05NjYjfXc8Mcfqxe292Y/+yQzr8Ra4IEUBIBKQxCCKbFTN1WyBJUs4b9HeiJfvsSX5yK2CWjDE/uWN4dl4pQpZ04cnRcVO9LPwdGGf1Wm3JeYt+PgP8b/RgDAfCEIwUjYViwqaYJKnsiUK2jzc3luHrrTWPjuXpT1q7vuMbhc7l/7DkSeOnX0wL7sjIy2g0ddnja9xpePBoD6DUEItaJsxYJKnsQVOjFl6XyRTw2WK4T36RPep0+NDBsALBCCEKqLudT7N/NkKmmCWvqCcCi9NWPRigUA6iYEIVSNtiBPJUtQyxLUmTKVLEEtS2Q7kPHFPkxlOk/sy3VwNvVIAQAqBUEI5aLVKk1aUuGzTHWmlMk8VVoyxeXyXCTMBE779uE8sQ/f3Zu8vN4WAIAZQRBCKYNFC5TASe3hxxf7WjdsYR86gClaMPVIAQBqEoLQEhksWuDY2PPEvswCC2zRgjIvTygUmnq8AAC1CEFYz1W2aAEL6QGApUIQ1it6RQvMlBZ2Lb2aLVoAAKgfEITmCkULAAA1AkFoHipXtODHdXAy9UgBAMwMgrDOodUqdUaqWpaIogUAACNAEJqYwaIFnouYJ/bluUhQtAAAUNsQhMZT+aIFzGQBADAaBGGtKFu0oJYl0CXFKFoAAKhrEIQ1AEULAADmC0FYNYaKFp4TDgdFCwAAZgpBWBEULQAA1Hv1KggfPXr07RefxT565ODoMHT0/82YNZvHq+w3WG7RgsiXL/HluYhRtAAAUC/VnyD8e++e7z75cGEbSetePrnFqr8O/N5n5/YT56OsrMrcotRq1NlpmkwZihYAAKCeBKFarV48/6M9/ZoIrHiEEGdbq/dae/x8J+X3jRumT5qoX7QgS+DYClC0AAAApN4E4f3791u62jMpyBrS0GnZz8uHJJ/juXvx3L347l52bbrx3L15bp4Uj2+qoQIAQJ1ST4KwuLjYhqv/6M6Oz9W4eXks22uSIQEAgFmoJ/M+mjdvfkeuoF/eeCVF0TY0zDQDAgAAM1FPgtDR0bHP4KHLriWUaLTMlvtpuWtjs2b/70PTDgwAAOq4enJrlBCydMWPP634YcjaXzwdbBVFKmcPr73HTorFYlOPCwAA6jSKpulX72VqLVu23LFjR1BQUGV2lkqlzs7O1tbWtT0qS6BUKoVCoalHAWCu8DfILNSfK0KWRCIx9RAAAMBs1JNnhAAAAK8HQQgAABYNQQgAABYNQQgAABYNQQgAABYNQQgAABYNQQgAABYNQQgAABYNQQgAABYNQQgAABYNQQgAABYNQQgAABYNQQgAABYNQQgAAGbj6LPIb6/8VLPHRBACAIBFQxACAIBFq4cL8wIAQD1z4MlReUF6brHySfazEk3J9kf7mO1vNulvz7er5sERhAAAUIeUaEpS8mSpSllKnpT9b2qezJZnI+Db04TwuTxlcR6zM03T1T8jghAAAExDWZKXmieT5slT82RM2knz5BmFWa62zhKByEMg9hCKg0VBEoHI18HLhmdDCDn6LPJ++qMZbd6uwWEgCAEAoNaVzbwXikRlSb6HQOTn6OMhEAe4NO7pGyYRiMT27hzKqPNXEIQAAFBj1FpNWkG63kVeQm4yn8PzEIiZ6zw28zwEYlOPlxAEIQAAvJ4STUlGYZY0T/48J/GFItHgjc2eLmESgchb6GnHt62Rkw5oFD6gUXiNHIqFIAQAgFeozMO8zl7t/Rx9RPZuXIpr6vFWDYIQAABKaWiNPF//xmaSMoVLccve2JQIRBShTD3kGoAgBACwRCqNKr0wU2/2SlJuqh3f1s/R28/Rh72x6SX0qH6tXl2GIAQAqOcqc2OTyTw/Rx9rrpWpx2tsCEIAgPqDybwXOYkvFElM4CUrUzkUp+yNTbG9iEPVhxub1YcgBAAwPyqtOr0go0yVQhKfw2czr50k2M/Ru6Gjr8DK3tTjrdMQhAAAdVrlb2yy7VegShCEAAB1RXntV1xtnZkJLCZsv1KPIQgBAIzNYPuVxNxknqH2K/WmSqHOQhACANQik7RfgSpBEAIA1IyyNzZTcqVZxTm6mddOEuzr6O3j4Gl27VfqMQQhAEDVGGy/YrBKwYESNBb548ZmHYcgBAAoV9n2K9I8+QtFohXXykMg9nX0btjAp4L2K0qlEilY9yEIAcBc5asKbHk2NTV5sipVCt42POsaOSnUBQhCADBX75z46KuuC3wdvav6QTbzmAksaL9i4RCEAFBvVbL9iodA7Ofo42LrZOrxgmkgCAGgPqj8jU0fBy9btF8BHQhCADAnT7LiD8cdz1Pl56sK0gvTF577skhdoizJpyji4+DlKZR4CMTNXBr38u3qKRS72bnhxia8EoIQAOoimtCZBVnSfLk0Ty7NS/v3hTyzMMuWZyO0FgitBISmvB29JPZiobUgwLlxmFdHU48azBKCEABMjLmrmVmYlVmYrfMkL5mv02+shWtAH7/uzrZOHgIxu2BexJFZ77aZ/BqTZQB0IQgBwEjYZmNl69BdbJ1cbJ3RbwxMAkEIADVMb65mRmFWZmFWeVNXPAWS114tz55vixUYoPoQhADw+iqeq+li6+xq69zKPZC5w1njqyis7fdDDR4NLBaCEABerWzgMRd5TKexMkXoWCoPzAmCEAD+U6wpySzzGC9JmcKluGzg+Tn6tJMEo9M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"execute_result" - } - ], + "outputs": [], "source": [ "N = 100\n", "u = zeros(N,N)\n", @@ -5230,21 +1007,10 @@ }, { "cell_type": "code", - "execution_count": 24, + "execution_count": null, "id": "ee7679f4", "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "prolongate! (generic function with 1 method)" - ] - }, - "execution_count": 24, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "function prolongate!(u_fine,u_coarse)\n", " ni_coarse, nj_coarse = size(u_coarse)\n", @@ -5268,31 +1034,10 @@ }, { "cell_type": "code", - "execution_count": 25, + "execution_count": null, "id": "260bbcb0", "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "\u001b[36m\u001b[1m[ \u001b[22m\u001b[39m\u001b[36m\u001b[1mInfo: \u001b[22m\u001b[39mSaved animation to C:\\Users\\gelie\\Home\\TeachingInnovationProject\\XM_40017\\notebooks\\a2.gif\n" - ] - }, - { - "data": { - "text/html": [ - "" - ], - "text/plain": [ - "Plots.AnimatedGif(\"C:\\\\Users\\\\gelie\\\\Home\\\\TeachingInnovationProject\\\\XM_40017\\\\notebooks\\\\a2.gif\")" - ] - }, - "execution_count": 25, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "iters_in_level = [2,2,2,2,2,2,2,2]\n", "u_coarse = zeros(2,2)\n",