{
"cells": [
{
"cell_type": "markdown",
"id": "97c868dd-b880-4af1-af59-7dc5663861fa",
"metadata": {
"editable": true,
"slideshow": {
"slide_type": ""
},
"tags": []
},
"source": [
"# Numeryczne rozwiązywania równania dyfuzji"
]
},
{
"cell_type": "code",
"execution_count": 1,
"id": "3e11ea57-8816-446f-95ca-b516eb0a0754",
"metadata": {},
"outputs": [],
"source": [
"using Printf\n",
"using GLMakie\n",
"using LinearAlgebra\n",
"using LaTeXStrings\n",
"\n",
"my_theme = Theme(\n",
" Axis = (\n",
" xlabelsize = 28, \n",
" xticklabelsize = 24, \n",
" xminorticks = IntervalsBetween(5), \n",
" xminorticksvisible = true, \n",
" xgridvisible = false,\n",
" ylabelsize = 28, \n",
" yticklabelsize = 24, \n",
" ygridvisible = false, \n",
" yminorticks = IntervalsBetween(5), \n",
" yminorticksvisible = true,\n",
" ),\n",
" Legend = (\n",
" labelsize = 24,\n",
" ),\n",
" palette=(color = cgrad(:managua25, 25, rev=true),),\n",
" Lines = (cycle = [:color],)\n",
" )\n",
"set_theme!(my_theme)\n"
]
},
{
"cell_type": "markdown",
"id": "e643d0e5-6899-410a-ac40-e6b3b9840636",
"metadata": {},
"source": [
"Nasz reaktor będzie składał się z komórek, dla których musimy podać parametry materiału: stałą dyfuzji, przekrój czynny na absporpcję i na rozszczepienie.\n",
"Wygodnie będzie zdefiniować strukturę zawierającą takie informacje. "
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "5985eee8-aa34-485d-9c80-14b79b59cd85",
"metadata": {},
"outputs": [],
"source": [
"struct Material\n",
" D::Float64\n",
" Σa::Float64\n",
" νΣf::Float64\n",
"end"
]
},
{
"cell_type": "markdown",
"id": "dbfebb9d-2f62-4daf-a0db-54d576685b91",
"metadata": {},
"source": [
"## Reaktor 1D"
]
},
{
"cell_type": "markdown",
"id": "61fc8ab9-489d-4a68-9633-a25609259d9b",
"metadata": {},
"source": [
"Spróbujmy rozwiązać jednowymiarowy problem reaktora taflowego otoczonego reflektorem.\n",
"\n",
"Zacznijmy od zdefiniowania kilku materiałów. Będziemy potrzebować rdzenia, reflektora (np. wody) oraz próżni. Parametry tego typu materiałów pojawiały się na zajęciach i pożyczymy wartości z poprzednich zadań. Natomiast próżnia będzie miała o zerowe przekroje czynne na absorpcję i rozszczepienie oraz bardzo dużą stałą dyfuzji - jest ona odwrotnością przekroju na rozpraszanie, więc dla próżni powinna dążyć do nieskończoności."
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "7b2c99a8-c88f-4e24-9903-c0b1c359a2c8",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Material(1.0e6, 0.0, 0.0)"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"core = Material(9.21, 0.153, 0.157)\n",
"moderator = Material(6.4, 0.0196, 0.0)\n",
"void = Material(1.0e6, 0.0, 0.0)"
]
},
{
"cell_type": "markdown",
"id": "87973346-9c51-4a66-b245-d4756afa0582",
"metadata": {},
"source": [
"Załóżmy, że grubość reaktora będzie równa $2R_c$, a grubość reflektora $R_r$, z każdej strony (jednostki będą umowne). Układ dodatkowo otoczymy $R_a$ komórkami próżni, tak, aby warunek brzegowy mógł być łagodnie spełniony."
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "b3b9e301-3177-4126-8e36-5290d84fc9df",
"metadata": {},
"outputs": [],
"source": [
"Ra = 2\n",
"Rr = 5\n",
"Rc = 25\n",
"N = 2 * (Ra + Rc + Rr)\n",
"\n",
"reactor = Array{Material, 1}(undef, N)\n",
"for i in 1:Ra\n",
" reactor[i] = void\n",
"end\n",
"for i in Ra+1:Ra+Rr\n",
" reactor[i] = moderator\n",
"end\n",
"for i in Ra+Rr+1:Ra+Rr+2*Rc\n",
" reactor[i] = core\n",
"end\n",
"for i in Ra+Rr+2*Rc+1:Ra+Rr+2*Rc+Rr\n",
" reactor[i] = moderator\n",
"end\n",
"for i in Ra+Rr+2*Rc+Rr+1:N\n",
" reactor[i] = void\n",
"end"
]
},
{
"cell_type": "markdown",
"id": "1230e6e5-3e40-4704-9c2a-52016aea1064",
"metadata": {},
"source": [
"Sprawdźmy jak wygląda nasz reaktor rysując przekrój czynny na absorpcję."
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "1796b8d1-b3ef-42ee-97f6-e538a48f1f54",
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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",
"text/html": [
"
"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"fig = Figure(size=(800, 600))\n",
"ax = Axis(fig[1, 1]; xlabel=L\"r\", ylabel=L\"\\Sigma_a\")\n",
"stairs!(ax, [reactor[i].Σa for i in 1:N])\n",
"fig"
]
},
{
"cell_type": "markdown",
"id": "c96d83bb-bd81-4695-ac6a-b1b4a3b8d1e7",
"metadata": {},
"source": [
"Główna część problemu polega na zaimplementowaniu metody rozwiązywania zagadnienia danego przez macierz `reaktor`. \n",
"Będziemy musieli przejść przez kilka kroków, które pokażemy osobno, ale finalnie zostaną zebrane w jedną funkcję.\n",
"\n",
"Rozwiązaniem naszego problemu będzie strumień neutronów $\\Phi$. Musimy zacząć od jakiegoś rozwiązania początkowego, które powinno być w miarę rozsądne (np. wektor samych zer jest złym pomysłem). Im lepiej zgadniemy postać rozwiązania, tym szybciej algorytm zbiegnie do prawidłowego. Prosty pomysł spełniający te warunki to np. wektor zawierający stałą tam, gdzie mamy jakiś materiał rozszczepialny i zera w pozostałych miejscach."
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "d8e906ed-f019-4079-a109-ed678f9f1ec1",
"metadata": {},
"outputs": [],
"source": [
"F = zeros(N)\n",
"for i in 1:N\n",
" if reactor[i].νΣf > 0.0\n",
" F[i] = 1.0\n",
" end\n",
"end"
]
},
{
"cell_type": "markdown",
"id": "1b171d9b-bf73-4164-b101-3ebb561fb208",
"metadata": {},
"source": [
"Następny krok to stworzenie macierzy A, o rozmiarze $N\\times N$, definującej nasze zdyskretyzowane równiania dyfuzji dla każdego punktu reaktora.\n",
"\n",
"Implementujemy tutaj schemat sprzężeń dla problemu 1D omawiany na ćwiczeniach.\n",
"\n",
"Uwaga o wyrazach A[1] i A[N] - w przypadku warunku brzegowego \"próżni\", ze względu na brak sąsiadów na zewnątrz, musimy zadbać o brak wpływów z tej strony. Alternatywą jest warunek brzegowy cykliczny (stosowany np. w modelowaniu nieskończonych siatek), wtedy możemy zażądać, aby A[1] było sąsiadem A[N] i odpowiednio zmodyfikować równania."
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "471a0bae-d75e-47ee-8f01-ebad3667ea80",
"metadata": {},
"outputs": [],
"source": [
"A = zeros(N, N)\n",
"d = 1.0\n",
"for i in 1:N\n",
" A[i, i] = reactor[i].Σa + 2 * reactor[i].D / (2 * d^2)\n",
" if i > 1\n",
" A[i, i] += reactor[i-1].D / (2 * d^2)\n",
" A[i, i-1] = -(reactor[i].D + reactor[i-1].D) / (2 * d^2)\n",
" end\n",
" if i < N\n",
" A[i, i] += reactor[i+1].D / (2 * d^2)\n",
" A[i, i+1] = -(reactor[i].D + reactor[i+1].D) / (2 * d^2)\n",
" end\n",
"end"
]
},
{
"cell_type": "markdown",
"id": "b4fbfc9d-2a79-4d3f-aebd-c526f9d1651d",
"metadata": {},
"source": [
"Sprawdźmy, jak wygląda macierz A."
]
},
{
"cell_type": "code",
"execution_count": 8,
"id": "9c817b83-1344-4132-8ae0-f47453c2696a",
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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",
"text/html": [
"
"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"fig = Figure(size=(800, 600))\n",
"ax = Axis(fig[1, 1]; xlabel=\"i\", ylabel=\"j\")\n",
"hm = heatmap!(ax, A, colormap=:delta, colorrange=(-20, 20))\n",
"Colorbar(fig[1, 2], hm)\n",
"fig"
]
},
{
"cell_type": "markdown",
"id": "213e339b-d85c-417d-9c00-995dbf66048d",
"metadata": {},
"source": [
"Potrzebujemy teraz parametru zbieżności rozwiązania ($\\lambda$), oraz $\\epsilon$ względną różnicę między nową $\\lambda_{i+1}$, a poprzednią $\\lambda_i$. Ustalmy, że uznajemy rozwiązanie, za zbieżne, gdy epsilon jest mniejszy niż $10^{-6}$.\n",
"\n",
"Na podstawie parametrów reaktora, lambdy oraz wstępnego strumienia policzymy prawą część równania (źródło: $S$)."
]
},
{
"cell_type": "code",
"execution_count": 9,
"id": "b92fe1e0-8cbe-4fb0-b741-30e9dd8946d9",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"1.0e-6"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"λ = 1.0\n",
"S = 1 / λ .* [reactor[i].νΣf for i in 1:N] .* F\n",
"ϵ = 1.0\n",
"ϵlim = 1.0e-6"
]
},
{
"cell_type": "markdown",
"id": "dff3a4c8-9290-42f9-9a40-b6e19bb1b734",
"metadata": {},
"source": [
"Jesteśmy gotowi do stworzenia głównej pętli rozwiązania. Dopóki $\\epsilon$ - względna zmiana $\\lambda_i$ - jest większy niż zadana granica, będziemy powtarzać schemat:\n",
"1. Znajdź nowy strumień $\\Phi = A^{-1}S$\n",
"1. Policz nowe $\\lambda_{i+1}$ (suma po wszystkich punktach w prawej części równania z nowym strumieniem, podzielona przez poprzednią wartość)\n",
"1. Policz nową prawą cześć równania (dla $\\lambda_{i+1}$)\n",
"1. Policz względną zmianę lambdy\n",
"\n",
"W Julii do rozwiązania zagadnienia $A\\Phi = S$ użyjemy operatora dzielenia macierzowego `\\`, który dla operacji A \\ B zwraca wynik X, taki, że A * X = B, czyli to o co nam chodzi. Operator ten jest polialgorytmiczny - w zależności od charakteru macierzy sam dobiera właściwą metodę. Dla macierzy górnotrójkątnych stosuje podstawienie wsteczne, dla trójdiagonalnych rozkład LU. O tym jak rozpozna naszą macierz możemy przekonać się wołając funkcję `factorize`, która zwróci najwygodniejszą w danym przypadku postać."
]
},
{
"cell_type": "code",
"execution_count": 10,
"id": "aeec4b37-16b2-464d-b99e-df391a32a6a0",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"LU{Float64, Tridiagonal{Float64, Vector{Float64}}, Vector{Int64}}\n",
"L factor:\n",
"64×64 Matrix{Float64}:\n",
" 1.0 0.0 0.0 0.0 … 0.0 0.0 0.0\n",
" -0.666667 1.0 0.0 0.0 0.0 0.0 0.0\n",
" 0.0 -0.600002 1.0 0.0 0.0 0.0 0.0\n",
" 0.0 0.0 -3.19989e-5 1.0 0.0 0.0 0.0\n",
" 0.0 0.0 0.0 -0.499244 0.0 0.0 0.0\n",
" 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\n",
" 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\n",
" 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\n",
" 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\n",
" ⋮ ⋱ \n",
" 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\n",
" 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\n",
" 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\n",
" 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\n",
" 0.0 0.0 0.0 0.0 … 0.0 0.0 0.0\n",
" 0.0 0.0 0.0 0.0 1.0 0.0 0.0\n",
" 0.0 0.0 0.0 0.0 -0.999999 1.0 0.0\n",
" 0.0 0.0 0.0 0.0 0.0 -0.999999 1.0\n",
"U factor:\n",
"64×64 Matrix{Float64}:\n",
" 1.5e6 -1.0e6 0.0 … 0.0 0.0 0.0\n",
" 0.0 8.33337e5 -5.00003e5 0.0 0.0 0.0\n",
" 0.0 0.0 2.00007e5 0.0 0.0 0.0\n",
" 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\n",
" 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\n",
" 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\n",
" 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\n",
" 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\n",
" ⋮ ⋱ \n",
" 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\n",
" 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\n",
" 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\n",
" 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\n",
" 0.0 0.0 0.0 … -6.4 0.0 0.0\n",
" 0.0 0.0 0.0 5.00004e5 -5.00003e5 0.0\n",
" 0.0 0.0 0.0 0.0 1.0e6 -1.0e6\n",
" 0.0 0.0 0.0 0.0 0.0 5.00001e5"
]
},
"execution_count": 10,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"factorize(A)"
]
},
{
"cell_type": "code",
"execution_count": 11,
"id": "f96c4679-11c8-4296-8336-d5eada9b6d54",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"ϵ = 8.338e-07\n"
]
}
],
"source": [
"Sf = [reactor[i].νΣf for i in 1:N]\n",
"while ϵ > ϵlim\n",
" Fn = A \\ S\n",
" λₙ = sum(Sf .* Fn) / sum(Sf .* F) * λ\n",
" Sn = 1 / λₙ .* Sf .* Fn\n",
" ϵ = abs(λₙ - λ) / λ\n",
" F = copy(Fn)\n",
" S = copy(Sn)\n",
" λ = λₙ\n",
"end\n",
"@printf(\"ϵ = %.3e\\n\", ϵ)"
]
},
{
"cell_type": "markdown",
"id": "118e64c2-9304-4db9-84b7-5c34f29e7a7d",
"metadata": {},
"source": [
"Dla wygody wektor zawierający wyraz $\\nu\\Sigma_f$ policzyliśmy przed główną pętlą, aby nie powtarzać zbędnie operacji zbierania tej struktury.\n",
"\n",
"Narysujmy uzyskany strumień."
]
},
{
"cell_type": "code",
"execution_count": 12,
"id": "0efa6c10-c4a6-40f6-a61a-7bfb5c25d654",
"metadata": {},
"outputs": [
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAyAAAAJYCAIAAAAVFBUnAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAAAAlwSFlzAAAOxAAADsQBlSsOGwAAIABJREFUeAHswXmw3WV9P/D355zn7OfchSQIgTwkZBNCSCDskIXtACJopMh3aqmdOm1dxtrO2GnrdKZo6x/nOzrVmWqnnakzTuXHF2xhqqBAhLCGrGDYfARC4lcEZctz7z3LPXd7fv19O/aHBSHLTe5zvvf9einnHIiIiIho+igQERER0bRSICIiIqJppUBERERE00qBiIiIiKaVAhERERFNKwUiIiIimlYKRERERDStFIiIiIhoWikQERER0bRSICIiIqJppUBERERE00qBiIiIiKaVAhERERFNKwUiIiIimlYK9BYbNmwAsGHDBhARERElHnjgAQAPPPAADpgC+WHPnj133HHHxo0bFy9eDG/s2bPnjjvu2Lhx4+LFi0FERKmwZ8+eO+64Y+PGjYsXL4Y39uzZc8cdd2zcuHHx4sXofQr0Fhs2bABw00034ai79957b7755htvvLFer8Mb9957780333zjjTfW63UQEVEq3HvvvTfffPONN95Yr9fhjXvvvffmm2++8cYb6/U6PHPTTTfhICmQN8IwhH/CMAQREaVLGIbwTxiGSAsF8kM9Ac/UEyAiohSpJ+CZegJpoUBERERE00qBiIiIiKaVAvkhjmMktNbwRhzHSGitQUREqRDHMRJaa3gjjmMktNbofQrkB2PMDTfccOutt2qt4Q1jzA033HDrrbdqrUFERKlgjLnhhhtuvfVWrTW8YYy54YYbbr31Vq01ep8CeWNoaAj+GRoaAhERpcvQ0BD8MzQ0hLRQICIiIqJppUBERERE00qBvBGGIfwThiGIiChdwjCEf8IwRFookB/qCXimngAREaVIPQHP1BNICwUCvv/97yPx3HPPLVu2DERERESHQYGAXbt2Pf744wCGh4eXLVsGIiIiosOgQMBNN92ExE033YQZEscxElpreCOOYyS01iAiolSI4xgJrTW8EccxElpr9D4F8oMxJgiCKIq01vCGMSYIgiiKtNYgIqJUMMYEQRBFkdYa3jDGBEEQRZHWGr1PgbxhrYV/rLUgIqJ0sdbCP9ZapIUCEREREU0rBSIiIiKaVgrkjTAM4Z8wDEFEROkShiH8E4Yh0kKB/FBPwDP1BIhSbQoYd+hMoTOFd1fKoJRBTpABUQ+rJ+CZegJpoUBENDtMAa1JdByakxiZwsgkhifdyBSak2hNoeMw7vDucoKSoJJBNYtaBn1ZqWVRy6CaRUlQySIDIqL/R4GIKL3GHewkfjmOl8fdy+N4YwJdhwmHrCAvKGVQyaCWxQl51DLSl8W7G57EyJQbnkRzCq9OoDPlxhwmHZSgIJijMD+H+Tk5LoeBLHICIpq1FMgPcRwjobWGN+I4RkJrDaIe0ZnC6xN4ZRwvj7tfTmD/BCYcalnMU1hTRn9WallUM6hkUMggLxAcFAHggDGH0Sm0p9Ccwsgkhibdy+P4ySi2t5wSDCocpzA/J8fnMFehlAGRP+I4RkJrDW/EcYyE1hq9T4H8YIwJgiCKIq01vGGMCYIgiiKtNYj89uYE9ozhhVH36gSGJ5EVDGRxXA6rSzI/h7kK5QymiwAFQSGL/ix+TQC0pvDGBF4ex8vj7uVxPDvqJh36sjhWYUlRFudxjALRjDPGBEEQRZHWGt4wxgRBEEWR1hq9T4G8Ya2Ff6y1IPKYncTeLp7rup+NYczhOIVlRczPyXEKgwp5wdFUyaCSh84DkDGH/RP45QReHne/GMM9wy4vOCmPZQVZVMBAFkQzyFoL/1hrkRYKREQ9aGQS+8bw0677WRftKRybw5oylhXk+ByUwAd5wftyeF8Oq0oy4fDKOJ7ruhe6uHPIlTM4qYDlBVmYRy0LIkofBSKi3tF12NPFc6Nu7xhGJjFXYWUJS4tyQg55gbeUYEEeC/KytopfjOP5UfdCF892XC2LRXksK8riAgoCIkoNBfJGGIbwTxiGIPJAcwrPdLC7414ZxzEKywtYVpQFeRQEPSQvWJTHorysd/j5GJ4bdXvGsLvjjs9hVUlWlFDNgOgoCMMQ/gnDEGmhQH6oJ+CZegJEM+qNCTzVcU+Nwk5gUQG/MyAnF1DKoKcVBEsKWFKQzhRe7OKJjrt32G1vY2URK0syR4HoyKkn4Jl6AmmhQETkq5fHsbvjnu1gzGFZER/ok0UFZJAqpQxWlHBKSfZ28eOOe6yFXW13agmrSjI/ByLqUQpERJ6ZAvZ18eOOe24USnBqEavKckIOKZYBFhewuCC/GMfutnumg91tt6yI1SVZWEAGRNRjFMgPcRwjobWGN+I4RkJrDaKj4oUutrXc3jH0ZXBuBStLMldh9jghhxP65ZwKnuq4pzp4dtQtyuPciiwpgGi6xHGMhNYa3ojjGAmtNXqfAvnBGBMEQRRFWmt4wxgTBEEURVprEB1hvxzH1pZ7ZhTHZHFZTVYUUctidpqrcHFNzirjmVE80Xa37ncrijivIsflQHT4jDFBEERRpLWGN4wxQRBEUaS1Ru9TIG9Ya+Efay2IjrCRSexsu11tCHBRVdaUUc2AalmcV8FpJdnVxs6We6Hr1pRxVllqWRAdJmst/GOtRVooEBHNnHGHJzvY1nJ2EqeVcF5FjlWgt6pmsL6KU4qyteW2tPCTUXduRU4vIScgIm8pEBHNBAe80MVjTbd3DEsKuLJPTi6AfptjFa7tl9OKeKzl7hxyz3RwflWWFCAgIh8pkDfCMIR/wjAE0XR7ZRxbW+6ZUcxV+NCAnFaEEtB7OrkAnZenR7G15W7d71YUcV5Fjs+B6GCFYQj/hGGItFAgP9QT8Ew9AaLpM+awvYXHWi4rWFeVNWVUMqADpwSrS1hakF1t7Gy7F7ru/IqcU0FeQHSA6gl4pp5AWigQER0tL49j84jb08XpJVxYlXkKdGgqGayr4pSiPNp094+4n43h4prMz4GIPKFARHTkTTjsbOPRplOCa/plVRkZ0OGap3DtgJyUx0NNd8ub7sKqnFWGEhDRjFMgP8RxjITWGt6I4xgJrTWIDtWvxvFA05lRrChifU3mKdB0yQBnlHFiXh4ccfcMu5+NYUNV3pcD0buI4xgJrTW8EccxElpr9D4F8oMxJgiCKIq01vCGMSYIgiiKtNYgOnhTwBNtPNR0DvhAv5xZQlZA026ewsYBOamDh5vulv1ubVXOKCMDondmjAmCIIoirTW8YYwJgiCKIq01ep8CecNaC/9Ya0F0SF6fwINN90wHy4rYUJXjcqAjJys4u4wFOXmg6e4acvvGsL4qcxWI3pG1Fv6x1iItFIiIppsDnuzgwRE35nB5n5xVRk5AR8FxOVw3IDva2NJ0vxhz62tyegkCIjraFIiIptXoFB5ouh0tLCpgQ01OzIGOppzgggp0Xh4Ycd+z7pVxbKhKMQMiOpoUyBthGMI/YRiC6IC9NoF7h93eMVxYxUVVyQtoRpyYw0cH5ZGm29LCGxOu3ifzFIj+RxiG8E8YhkgLBfJDPQHP1BMgOjDPjWLTiOs6XNMvq0qgmZUXXFKTOQr3jbhb97t6TZYVQfRf6gl4pp5AWigQER22KWBbCw+OuHkK1/bLgjzIE6tKOCYr9w67261bX5NzK8iAiI44BSKiw9Oawv0j7vE2Ti/h0pr0ZUFeWZDH9YNy34i7d9i9PoFLalLJgIiOKAUChoaGkOh2u4VCATMhjmMktNbwRhzHSGitQfROXhnHvcPuF+O4uCYXVKAE5KG+LK7plzkKjzTdmxOu3ifH50CzVhzHSGit4Y04jpHQWqP3KRDwD//wD//2b/8GYMGCBRs2bMBMMMYEQRBFkdYa3jDGBEEQRZHWGkRv88wofjTsAHx4QE4tgnymBOuqmKtk07C7bb+7rE9WFEGzkzEmCIIoirTW8IYxJgiCKIq01uh9CgT8fgLA17/+dcwcay38Y60F0dtMOjzawiNNd0IO9T45PgfqCacWMZiVe4fdf1r3RlUurCAroFnIWgv/WGuRFgoEnHzyyUgMDg6CiN5L12HTsNvVxpoyLq5JJQPqIcfn8DuDsnnEbR5xw5O4vE8KAiKaXgpERAejOYUfDrmfdnFxTS6qIgPqPZUMPtAvfVk81HSdKXdVv1QzIKJppEDeCMMQ/gnDEES/9sYEfjDsfjGGK/rk7DKod2WAdVWUMnLfsLvDug/0yRwFmj3CMIR/wjBEWiiQH+oJeKaeAFHi5XHcNeSGJ/HBfjmtBEqBs8soidwz7G637up+mZ8DzQb1BDxTTyAtFIiIDsCLXfxg2DngwwOyuABKjdNKKGXkB8Pudus+0CcnF0BEh0+BiOi9PDuKu4ddNYOr++WEHChlFhfwkQG5a8jdYd1V/XJqEUR0mBTID3EcI6G1hjfiOEZCaw2arXa1sWnYzc/hA/0yV4FS6YQcPjIgPxhy37Ou0ydryqAUi+MYCa01vBHHMRJaa/Q+BfKDMSYIgiiKtNbwhjEmCIIoirTWoNnHAY828UDTLSvgqj6pZUEpNldh44D8cNj9cNh1puTCKgSUTsaYIAiiKNJawxvGmCAIoijSWqP3KZA3rLXwj7UWNCtNOGwecY+1cEYZl9ekmAGlXi2La/tl04i7f8R1pnBxTZSAUslaC/9Ya5EWCkREbzPhsGnE7Wjhgio2VEUJaJYoZnBVn5QybksTE3CX10QJiOhgKRAR/aYJh00jbkcL66pYXxMBzS5KcGlNFNxDTQDu8pooAREdFAXyRhiG8E8YhqDZZMJh04jb0cK6KtbXRECzkQDrawK4h5oA3OU1UQJKkzAM4Z8wDJEWCuSHegKeqSdAs8aEw6YRt6OFdVWsr4mAZi8B1tcEcA81AbjLa6IElA71BDxTTyAtFIiIEhMOm0bcjhbWVbG+JgKa7QRYXxPAPdQE4C6viRIQ0YFQICICJhw2jbgdLayrYn1NBET/jwDrawK4h5oA3OU1UQIiek8K5Ic4jpHQWsMbcRwjobUGpdeEw49G3I4W1laxviYCov9PgPU1cXAPNyFwl9VECainxXGMhNYa3ojjGAmtNXqfAvnBGBMEQRRFWmt4wxgTBEEURVprUEpNOPxoxG1vYW0VG2oiIPrfBNhQE8A93ATgLquJElDvMsYEQRBFkdYa3jDGBEEQRZHWGr1PgbxhrYV/rLWg9Jpw+NGI297C2io21ERA9M4E2FATwD3cBOAuq4kSUO+y1sI/1lqkhQIRzVaTDj8acdtbWFvFhpoIiN6NABtqAriHmwDc5TXJCojoHSkQ0azkgM1Nt72FtVVsqImA6L0JsKEmgHu4CSXu0poIiOgdKJA3wjCEf8IwBKXRlia2NHFeBetrIiA6UAKsr8m4c1uaKAkurIJ6URiG8E8YhkgLBfJDPQHP1BOg1NnVxuamW13GJTXJgOjgZIBLajLq3OamK2ZkTRnUW+oJeKaeQFooENEs80wHm4bdsgLqNVECokOgBPWajE65TcOumJEVRRDRWykQ0Wyyp4u7h938PK7qk2IGRIesmMFVfXLHkLt7yBVFFhdARP9DgfwQxzESWmt4I45jJLTWoN730jjuGnJ9WVzdJ7UsiA5TLYur++R26+4ach8ZlBNzoJ4QxzESWmt4I45jJLTW6H0K5AdjTBAEURRpreENY0wQBFEUaa1BPe61Cdw15LKCD/bLHAWiaTFH4YP9crt1dw25jwzIPAXynzEmCIIoirTW8IYxJgiCKIq01uh9CuQNay38Y60F9b6hSdw15NpT2Dggx+dANI2Oz+HqfrnDuruG3MYB6c+C/GethX+stUgLBSJKu/YUfjDsXp3Atf2yMA+iabcwj6v65HtD7gfD7kP9Us6AaJZT8N4tt9zyzDPP/PVf/3WlUsGBcc49/PDDO3bs2L9//9KlSy+55JIFCxaAaFYac7hn2O3t4gN98v4iiI6Q9xcxOiU/GHb3DLur+yUvIJrNFLz37W9/+7HHHvv85z+PA/Pzn//8T/7kT374wx/i1wYHB7/4xS9+9rOfhd/CMIR/wjAE9awp4L4R93QHl/fJ6jKIjqjVZYw62TTsihl3RZ9kQP4KwxD+CcMQaaHgt7vuumvTpk2VSgUHptvtfvzjH9+8efPChQs/9alPzZ8//5577vnOd77zuc997phjjvnYxz4GX9UT8Ew9AepZjzaxvYV1VZxXAdFRcF4FnSk81EQ1g7VVkJ/qCXimnkBaKHjpySeffP755++7775vf/vbU1NTOGA333zz5s2b58+ff/fddy9fvhzA7/3e7y1evPiLX/zi3//931933XXFYhFEs8OTHTzUdGeWsa4qIDpa1lWlOeUearr+rJxeAtHspOCf0dHRD3/4w3v37sXB+9a3vgXgT//0T5cvX45f+9znPvfP//zPxpj77rvv6quvBtEssG8Mm4bdwjwurUlWQHTUZAWX1mR40m0adn1ZWZgH0Syk4J9MJvN3f/d3ExMTALrd7ic/+UkcmFdffXX37t0ArrzySrzF4ODgunXrbrvtts2bN1999dXwUhzHSGit4Y04jpHQWoN6xxsTuHvYlTO4ok/KGRAdZeUMruiT7+53dw+76wdkjgJ5JY5jJLTW8EYcx0hordH7FPyTz+c/9rGPIfHcc8/hgO3du7fZbM6bN2/JkiX4Teecc85tt9329NNPw1fGmCAIoijSWsMbxpggCKIo0lqDekRnCvcMu+YkrhuUuQpEM2KuwpX98h/73T3DbuOAlDIgfxhjgiCIokhrDW8YY4IgiKJIa43ep5Air776KoA5c+aUy2X8pgULFgB47bXX4DFrLfxjrQX1jing/hG3dwwf7JdFeRDNoEV5XN4ndw65+0fcVf2SAXnEWgv/WGuRFgopMjw8DCCXy4kIflOhUAAwNDQ0NTWVyWTwazfddNMbb7yBX3vqqac2bNgAop61pYmdbWyoyaoSiGbcqhKGJmXziOvP4qIqiGYPhdltXgK/9uKLL4KoZz3VwUNNd0YZF1VA5IkLK7CTeKjp+rOysgSiWUIhRUQE7yqTyeA3feYzn8FbvPbaa5g5YRjCP2EYgnpBPIZNI25BHpfVJCsg8kRWcFlNhibdphHXnxWdB/kgDEP4JwxDpIVCihx//PEAhoeHJyYmlFJ4izfeeAPAnDlzMpkMvFRPwDP1BMh7b07gh8OuKLiyT8oZEHmlnMGVffLd/e6Hw+76ATlGgWZWPQHP1BNIC4UUWbBgQTabfe21115//fXjjjsOb2GMAbB48WIQpc7oFO4ZdiOT+MiAzFMg8tA8hSv75Hbr7hl2GwekmAFRuimkyEmJF198cdeuXVdffTXeYtu2bQAuuugiEKXLFHD/iNszhg/2yckFEHnr5AIuq8mdw+7+EXdlv2RAlGYKvcw5B0BEkMjlclddddU3vvGNb3/721dffTV+bceOHVu2bCmVSpdffjl8FccxElpreCOOYyS01iAvbW9hRxvrq1hdBpHnVpdhJ/FgE8conFcBzZQ4jpHQWsMbcRwjobVG71PoWd1u94orrnjttdcuu+yyr3/960h89rOfvfnmm7/73e9+7Wtf++QnP1koFJ599tlPf/rTExMTf/zHf7x48WL4yhgTBEEURVpreMMYEwRBFEVaa5B/9nTxYNOtLOGiqoCoF1xUlTcn3YNNN0/J4gJoRhhjgiCIokhrDW8YY4IgiKJIa43ep+A9SeBtnHPGmF/96ldr167Fry1fvvyrX/3qpz71qT//8z//+te/XiqV9u3b1+l0Lrvssi9/+cvwm7UW/rHWgry0fxKbRtxgFpfWRAmIeoISXFqT1yfcphF3jJLBLGhGWGvhH2st0kLBb/l8/hOf+ISIKKXwmzKZzMUXX9zpdPr7+/EWf/iHf7hkyZJ//Md/fPzxx998880VK1Zcd911n/nMZ2q1GojSYtzhR8NuZBK/Myj9WRD1kP4sLu+Tf9/vfjTsPjwgOQFR+ij4beHChf/yL/+Cd5LP52+55Ra8k3WJycnJsbGxUqkEotTZ0sJPRnFVvyzKg6jnLMpjfVXuHnbHtrC+CqL0UUivbDZbKpXQO8IwhH/CMAR55tlRPNp0a8o4qwyiHnV2Ba9N4NGmm6fk1CLoKAvDEP4JwxBpoUB+qCfgmXoC5JNfjeNHw25+DhtqIiDqVQJsqMlrE+5Hw25OVt6XAx019QQ8U08gLRSIqHeMTmHTiJsE6n1SyYCop1UyuLxPbtvvNo243xmQYgZEqaFARL3jwabbN4Zr+2V+DkQpcEIOl9bke0Puwaa7ok9AlBYK5Ic4jpHQWsMbcRwjobUGzbQn2tjewvlVnF4CUWqcXsKrE3isiWMVziiDjoI4jpHQWsMbcRwjobVG71MgPxhjgiCIokhrDW8YY4IgiKJIaw2aUT8fw/0jbkkBa6sConRZW5XXxt39I26ukgV50JFmjAmCIIoirTW8YYwJgiCKIq01ep8CecNaC/9Ya0EzrTmFTSOukMFlfVIQEKVMQXBZn9y6320acR8dlGoGdKRZa+Efay3SQoGI/DYF3D/ifjWOjwzIPAWiVJqncHlNbrfu/hH3wX7JgKi3KRCR33a28EQbl9RkeRFEKba8iIuqcv+IO07hnAqIepoCeSMMQ/gnDEPQzHlpDA813alFnF8BUeqdX8Evx/FQ0x2fkwV50JEThiH8E4Yh0kKB/FBPwDP1BGiGdKZw34grZnBxTZSAKPWU4OKaRPvd/SPuo4NSyoCOhHoCnqknkBYKROSrR5ru5+P4cL/MVSCaJeYqXFyVO4bcI013eZ+AqDcpEJGXnh3F9jbOLuO0EohmlRUlvDSO7W2ckMepRRD1IgXyQxzHSGit4Y04jpHQWoOOojcmsHnEnZDD2qqAaPZZW5VXxt3mEfc+JXMUaHrFcYyE1hreiOMYCa01ep8C+cEYEwRBFEVaa3jDGBMEQRRFWmvQ0TLpsLnp2lO4pl/KGRDNQuUMLqnJrfvd5qbb2C9ZAU0jY0wQBFEUaa3hDWNMEARRFGmt0fsUyBvWWvjHWgs6ura38UwHV/SJzoNo1tJ5rK3KPcPuhBzOr4Cml7UW/rHWIi0UiMgnPxvDI013Wglnl0E0y51dxi/G8UjTzc/JSXkQ9RAFIvJGewr3j7hyBhdXJSsgmuWygour8stxd/+Iu2FQyhkQ9QoF8kYYhvBPGIago+Xhpnt5HB8ZkGMUiOi/HKNwSU1ut+7hpruiT0DTJAxD+CcMQ6SFAvmhnoBn6gnQUfF0BzvaOK+CU4ogov9xShHnVrC1hRNyOK0EOnz1BDxTTyAtFIjIA69PYHPT6RwuqgiI6DddVJGXx9zmpjsuJ3MViPynQEQzbcLh/hE3NoVLBqSYARH9L8UMLumTW99094+4jwyIEhB5ToH8EMcxElpreCOOYyS01qAjZkcbZhRX9cuJORDROzoxh3U1+eGQ29HG+RXQ4YjjGAmtNbwRxzESWmv0PgXygzEmCIIoirTW8IYxJgiCKIq01qAj4xfjeLTpVpSwpgwiehdryojH8GjT6byckAMdMmNMEARRFGmt4Q1jTBAEURRprdH7FMgb1lr4x1oLOmLGHB4YcXnB+qpkQETvJgOsr8ovxtwDI+76QckL6JBZa+Efay3SQoGIZs6OFvZ0cU2/zFUgovc0V2FtVb4/5Ha0cGEVRN5SIKIZ8vMxbGm5lSWsKoOIDtCqMvaNYUvL6bwsyIPITwoE3HfffUjs3bt30aJFmCFhGMI/YRiCjoCuwwNNV8xgXVUyIKIDlQHWVeWlcfdA0310UAoCOgRhGMI/YRgiLRQIePjhhx955BEAExMTixYtwkyoJ+CZegJ0BGxrYV8X1w7IHAUiOihzFNZV5XvWbWthXRV0sOoJeKaeQFooEPC3f/u3SHzxi18E0ZH3szE81nKryji9BCI6BKeXsG8MW1vupLyclAeRbxQIEBEQHS2jU3hgxFUzWFsVAREdCgHWVeWlMffAiLthUIoZEHlFgfwQxzESWmt4I45jJLTWoGmyteXiMWwckMEsiOiQDWaxvip3WLe15TbUBHTA4jhGQmsNb8RxjITWGr1PgfxgjAmCIIoirTW8YYwJgiCKIq01aDrs7WJrC2eUsaIEIjpMK0rYN4atLZyUx6IC6AAZY4IgiKJIaw1vGGOCIIiiSGuN3qdA3rDWwj/WWtA06Uzhgabrz2JtVQREdLgEWFuVn4+5B5ruuJyUMqADZK2Ff6y1SAsFIjpatrTcL8bxkQHpz4KIpkV/Futrcrt1W1ru0pqAyA8KRHRU7OliewtnlnBqEUQ0jU4tYl8J21tYmMfiAoh8oEDeCMMQ/gnDEHTYWlN4YMQdo3BRVUBE0+2iqvx83D0w4o7LSSUDek9hGMI/YRgiLRTID/UEPFNPgA7b1pb75QSuG5C+LIho2vVlsb4q/2Hd1pa7tCagd1VPwDP1BNJCgYiOsH1j2NHC6hLeXwQRHSHvL2J1CTtaWFzAwjyIZpYCER1JYw4PN10tiwurAiI6ki6syr4x93DTzR+UvIBoBimQH+I4RkJrDW/EcYyE1hp0SHa2sbeLDw3IQBZEdEQNZHFRVf7Tup1tXFAB/TZxHCOhtYY34jhGQmuN3qdAfjDGBEEQRZHWGt4wxgRBEEWR1hp08H45jseabkUJK0sgoqNgZQkvdPFY052cl+NyoHdkjAmCIIoirTW8YYwJgiCKIq01ep8CecNaC/9Ya0GHZNLh4abLCNZWJQMiOhoywNqqxGPu4ab7yIBkBfSOrLXwj7UWaaFAREfGkx38ZBT1PjlWgYiOmmMVzq/IvcPuyQ7OKINoRigQ0RGwfxKPtNziAtaUQURH2Zoy9nTxSMudlJdjFIiOPgXyRhiG8E8YhqCD90jTtafwoX7JCYjoKMsJ1lXllv3u0Za7pl9AbxOGIfwThiHSQoH8UE/AM/UE6CD9ZBS7O7ioAp0HEc2IBXmcU8YjLSwp4JQi6K3qCXimnkBaKBDRtGpO4eGmOz6HcysCIpo551Zkz5h7uOkW5KWaAdHRpED6fsVfAAAgAElEQVRE02pry702gY8OSikDIppBpQzWVeW2/W5ry11WExAdRQrkhziOkdBawxtxHCOhtQYdgL1j2NHCmWUsLYCIZtzSAs4sY0cLiwtYlAf9tziOkdBawxtxHCOhtUbvUyA/GGOCIIiiSGsNbxhjgiCIokhrDXovXYeHRlx/FhdUBETkhwsqsrfrHhpx84+RgoD+izEmCIIoirTW8IYxJgiCKIq01uh9CuQNay38Y60FHZgdLfxsDBsHpD8LIvJEfxZrq3KHdTtauKgK+m/WWvjHWou0UCCi6fDKOLa23GklnFYCEXnltBKe72Jryy0uyPE5EB0FCkR02KaAR5suK1hbFQER+UWAtVX52Zh7tOk+MigZEB1xCuSNMAzhnzAMQe/lmQ6eHcVlfTJPgYg8NE/h3Ir8aNgt72BlCRSGIfwThiHSQoH8UE/AM/UE6F01p7Cl5XQea8ogIm+tKeO5UWxpuUUFqWYwm9UT8Ew9gbRQIKLDs73lXp/ARwelICAibxUEF1bltv1ue8tdUhMQHUkKRHQYXhrHzjZWlbC0ACLy3NICVpWws41lRZyYA9GRo0B+iOMYCa01vBHHMRJaa9DbTDo82nQFwfkVARH1ggsqsqfrHm263xmQrGB2iuMYCa01vBHHMRJaa/Q+BfKDMSYIgiiKtNbwhjEmCIIoirTWoLd5ahQ/HcWVfTJHgYh6wjEK51fk7mH31ChWlzA7GWOCIIiiSGsNbxhjgiCIokhrjd6nQN6w1sI/1lrQOxmexJamW1jA6jKIqIecUcZPu9jSdCfnpS+L2claC/9Ya5EWCkR0SLa1nJ3ElX2SFxBRD8kJLqxItN9ta7nL+wRER4ACER28eAy72jijjJMLIKKec3IBZ5Sxq41lRZyUB9G0UyBvNBoN+KfRaIB+04TDI01XyeL8ioCIetP5FXmh6x5tuhMGRQlmm0ajAf80Gg2khQL5oZ6AZ+oJ0G/a3cHzXXywXwayIKIeNZDFBRW5c8jt7mBNGbNKPQHP1BNICwUCOp0OEhMTE0opEP12dhKPtdySAlaVQEQ9bVUJZhSPtdziggxkQTSNFAhoNBr//u//DmDu3LkbNmwA0W+3teWak7imX5SAiHqaElxUlVvedFtb7so+AdH0USDg+gSAb37zm5ghcRwjobWGN+I4RkJrDQL2dvFEG2vKOCkPIkqBk/I4s4xdbSwvYFEBs0Qcx0horeGNOI6R0Fqj9ykQsGLFCiTmzZuHGWKMCYIgiiKtNbxhjAmCIIoirTVmvXGHR1quP4vzKgIiSovzKvJC1z3ScifmJSeYDYwxQRBEUaS1hjeMMUEQRFGktUbvUyBvWGvhH2stKPHjDvZ2cW2/9GVBRKnRl8UFFfnekPtxB2eXMUtYa+Efay3SQoGIDsDQJLa13JICVpZARCmzsoRnR7Gt5ZYVpD8LosOnQEQHYHvLjUzig/2SFRBRymQFF1Tlljfd9pa7vE9AdNgUyBuNRgP+aTQamPV+MY7HO1hVwsI8iCiVFuaxqoTHOzi1hBNySL1GowH/NBoNpIUC+aGegGfqCcxuU8CWpisIzqsIiCi9zq3Ic123pemuG5QM0qyegGfqCaSFAhG9KzMKM4pL++QYBSJKsTkK51TkvmFnRnFqEUSHQ4GIfrvRKWxpuvk5nFkCEaXemSX8pIMtTXdyXooZEB0yBfJDHMdIaK3hjTiOkdBaY1Z6vINXxnHdoBQzIKLUK2ZwflX+Y797vIMLKkirOI6R0FrDG3EcI6G1Ru9TID8YY4IgiKJIaw1vGGOCIIiiSGuN2eeNCWxvuVOKeH8RRDRLvL+I9xexveWWF2SOQioZY4IgiKJIaw1vGGOCIIiiSGuN3qdA3rDWwj/WWsxW21puzOH8qmRARLNFBrigKje/6ba13Af6BSllrYV/rLVICwUieif7xrC7g7MrOCEHIppVTsjhjBJ2tnFqCQvzIDoECkT0NpMOW5qulsXZZQERzT7nVOSnXbel6RYMSlZAdLAUyBuNRgP+aTQamH2eHsXzXVzdL/1ZENEs1J/FeRW5a8g9PYpVJaRPo9GAfxqNBtJCgfxQT8Az9QRmmeYUHmu5RXmsKoGIZq1VJTzTwWMtt6QglQzSpJ6AZ+oJpIUCEf2mnS33xgQuHZScgIhmrZzggqrctt/taLkNNQHRwVAgorf41Th2tnFaEUsLIKJZbmkBpxWxs41TinhfDkQHToH8EMcxElpreCOOYyS01pgFHPBYywlwXkVARAScV5EXuu6xlvvQgAhSIo5jJLTW8EYcx0hordH7FMgPxpggCKIo0lrDG8aYIAiiKNJaYxZ4oYunR7G2Ku/LgYjov7wvh7Mq8nDTrehiaQHpYIwJgiCKIq01vGGMCYIgiiKtNXqfAnnDWgv/WGsxO0w4bG25OVmcVQYR0f84q4xnO9jacovyogTpYK2Ff6y1SAsFIko8PYoXu7imXyoZEBH9j0oG51bk+0Pu6VGsLoHoQCgQEdCewraWW5jHyhKIiP6XlSU81cG2lltWkHIGRO9JgbzRaDTgn0ajgVngiTZeHcdHByUnICL6X3KC8ypy2373RBsXVpECjUYD/mk0GkgLBfJDPQHP1BNIu/2T2Nl27y9iWRFERO9oWRGnFLGz7U4tyWAWPa2egGfqCaSFAtGst73lOlM4ryICIqJ3JsC5Fbn5Tbe95a7oExC9KwWi2e3lcfy4g1VlLMiDiOhdLMhjVRk/7mBlCfNzIHoXCuSHOI6R0FrDG3EcI6G1Rho5YGvL5QXnlAVERO/lnLKYUbe15TYOiKBXxXGMhNYa3ojjGAmtNXqfAvnBGBMEQRRFWmt4wxgTBEEURVprpNGeLp4dxbqqzFEgInpPcxTWlOWhplvZxdICepQxJgiCKIq01vCGMSYIgiiKtNbofQrkDWst/GOtRUpNODzWcnOyWFMGEdEBWlPGMx1sbblFeVGCHmWthX+stUgLBaLZ6plRvNjFNf1SyYCI6ABVMji3It8fck+PYnUJRO9IgWhWak9ha8stzGNlCUREB2VlCU91sK3llhWknAHR2ymQNxqNBvzTaDSQRk+08eo4PjooOQER0UHJCc6ryG373RNtXFhFL2o0GvBPo9FAWiiQH+oJeKaeQOrsn8TOtjuliGVFEBEdgmVFnFLEzrY7tSSDWfSWegKeqSeQFgpEs8/2lutM4dyKCIiIDoUA51bk5jfd9pa7ok9A9JsUiGaZl8fx4w5WlbEgDyKiQ7Ygj1Vl/LiDlSXMz4HorRTID3EcI6G1hjfiOEZCa41UcMDWlssLzikLiIgOzzllMaNua8ttHBBBz4jjGAmtNbwRxzESWmv0PgUCbrrpptHRUQBbt27dsGEDZoIxJgiCKIq01vCGMSYIgiiKtNZIhT1dPDuKdVWZo0BEdJjmKKwpy0NNd3oXSwroFcaYIAiiKNJawxvGmCAIoijSWqP3KRBQSgDI5XKYOdZa+Mdai7SYdNjWcsdkcWYZRETT4swynu5gW8styktW0CustfCPtRZpoUDAX/7lXyLR6XRA6WW62NPFVf1SzYCIaFpUMzi7Ij8ccqaLFUUQ/TcFotlhzGF7y83P4fQSiIim0ekl7G5je8stLUheQPRfFMgbjUYD/mk0GkiFpzuIx7BxQAoCIqJpVBCcU5E7rHu6gzPL6AmNRgP+aTQaSAsF8kM9Ac/UE+h97Slsb7uTCzi1CCKiaXdqEbsL2N527y9KOQPP1RPwTD2BtFAgmgV2d/DaOC4eFCUgIpp2SnBOWW7b73Z3cH4FRApEaTc0iZ1tt6yIpUUQER0hS4tYVsTOtju1KP1Z0CynQH6I4xgJrTW8EccxElpr9KzH225kEtf0SwZEREdKBji3Iv/nTfd4211cE3gsjmMktNbwRhzHSGit0fsUyA/GmCAIoijSWsMbxpggCKIo0lqjN70+gSc6OLWIhXkQER1RC/M4tYgnOlhZwlwFbxljgiCIokhrDW8YY4IgiKJIa43ep0DesNbCP9Za9LKdbTfucE5FQER05J1TkZ923c62u7JP4DFrLfxjrUVaKBCl18vj2N3BqhLm50BEdBTMz2FVCbs7OL2E+TnQrKVAlF47Wi4nOKssICI6Ws4qy7OjbkfLfWhAQLOVAnmj0WjAP41GA71p3xieGcX5FcxVICI6auYqnFHCYy2sGsPCPPzUaDTgn0ajgbRQID/UE/BMPYEeNAVsa7laFmeWBURER9eZZXl61G1rOZ2XDLxTT8Az9QTSQoEojZ4fxXOjuLRP+rMgIjrK+rNYU5b7ht3zo1heBM1CCkSpM+Gwve3m5bC6BCKiGbG6hCc72N52iwuiBDTbKJAf4jhGQmsNb8RxjITWGr3j2VG82MU1/VLOgIhoRpQzOKcs3x9yz47i9BK8EscxElpreCOOYyS01uh9CuQHY0wQBFEUaa3hDWNMEARRFGmt0SO6DttbTudxWglERDPotBJ2d7C95ZYXpSDwhzEmCIIoirTW8IYxJgiCKIq01uh9CuQNay38Y61FT3mqg5fHcd2A5AVERDMoLzinLP9h3VMdnFWGV6y18I+1FmmhQJQi7SnsbLuTC3h/EUREM+79RZxcwM62O7Uo5Qxo9lAgSpEnO3htHBcPSlZARDTjsoKzy3LbfvdkB+dVQLOHAnmj0WjAP41GAz2iOYVdbbekiKVFEBF5YmkRS4rY1XanlaSagScajQb802g0kBYK5Id6Ap6pJ9AjdrexfxJX9EkGRES+yABnlyXa73a3cWEVPqgn4Jl6AmmhQJQKw5N4vOOWF7C4ACIirywuYHkBu9puZUn6sqDZQIEoFZ7oYHgS1/SLgIjILwKcXZGb33RPdLC+CpoNFMgPcRwjobWGN+I4RkJrDY/tn8QTbXdKEQvzICLy0MI8TiniibY7vSSDWcysOI6R0FrDG3EcI6G1Ru9TID8YY4IgiKJIaw1vGGOCIIiiSGsNjz3edp0pnF0WEBH56uyy/HTUPd52l9YEM8oYEwRBFEVaa3jDGBMEQRRFWmv0PgXyhrUW/rHWwm+vT2B3BytKWJAHEZG3FuSxooQft7GqhLkKM8taC/9Ya5EWCkQ97vG2G3c4qywgIvLbWWX5yajb1XZX9Ako1RSIetmrE9jdwWlFzM+BiMhz83M4rYgnOzijjGMVKMUUyBuNRgP+aTQa8NjOlgNwVllARNQLzirLs6NuZ8t9oF8wcxqNBvzTaDSQFgrkh3oCnqkn4KtXxvHUKFaX8L4ciIh6wvtyOL2EH3dwRhnH5zAj6gl4pp5AWigQ9awdbaeANWUBEVHvWFOWpztuR9td2y+glFKYblNTU5lMBkRH2EtjeKaDcyqYq0BE1EPmKqwuY3sLZ5SwIA9KJYXp85//+Z//+q//+tOf/vSEE0644YYbPvGJTyilQAcmjmMktNbwRhzHSGit4ZkdbVfK4MyygIio15xZlqc6bmfbLcgLjro4jpHQWsMbcRwjobVG71OYJn/xF3/xla98BYnnnntu8+bNd95553e+853+/n7QATDGBEEQRZHWGt4wxgRBEEWR1ho+2TeGn4ziggoGsyAi6jmDWawuYUsLZ4xhYR5HmTEmCIIoirTW8IYxJgiCKIq01uh9CtPhy1/+8le+8hUA/f39fX19rVbrzTffvPPOO//oj/7o1ltvFRHQAbDWwj/WWnjGATtarprBGWUBEVFvOqMsT3bcjpY7KS+Co81aC/9Ya5EWCgdvampqZGSkv78fiWefffZLX/rStdde+2d/9merV6+uVqujo6PPPffct771rW9+85vXJ5AYGRlRSpVKJXhm69atSLz00ksnnngiyG8vdvHTLjZUpT8LIqIe1Z/FmWV5oOle7GJxAZQyCgfvl7/85cc//vFNmzYh8U//9E+f/vSnv/rVr2YyGSRyudyaxNlnn/2Nb3zj+uuvR+Kv/uqvrr/++g0bNsAzd9999z333AOgUCiceOKJII85YGfbDWSxugwiop62uowfd7Cz7U4uiIBSReHgVSqVsbExJLrd7qZNm7Zt25bJZPA2f/AHf/C9731v7969ixYtAjA1NTVnzhz4528SAL70pS9h5jQaDfin0WjAJy928XwXl9SkmgERUU+rZnBmWe4fcS92sbiAo6nRaMA/jUYDaaFw8ETk9ddfHx8fz+VyL7300oc+9KH+/n78Ftdff/3u3bsXLVoE4I033oCXlFJIZDIZzJB6Ap6pJ+ANB+xsu4EsTi+BiCgFTi/h8TZ2tt3JBREcJfUEPFNPIC0UDskrr7wShmGlUnnzzTeVUl/72tfwW7Tb7Zdeemnfvn3j4+O33377F77wBRAdqj1dPN/FJTWpZkBElALVDM4sy/0jbk8XSwqg1FA4JFNTU3/zN3+Dgzc1NQWiQzIF7Gy7wSxOL4GIKDVOL+GJNna23ckFyYBSQuGQiMixxx5bLBZbrdb4+PjAwAB+i9HR0WazOXfu3ImJiZdffhn0W8RxjITWGt6I4xgJrTVm2otdvNDFpTWpZkBElBrVDM4sy30j7sUulhRwFMRxjITWGt6I4xgJrTV6n8IhUUo98sgjixYtevzxxx988MHPfe5zmUwGb+Oc27Fjx759+66//npr7Yc//OFcLgd6J8aYIAiiKNJawxvGmCAIoijSWmNGTQE7224wi5UlEBGlzMoSHm9jZ9udXJAMjjhjTBAEURRpreENY0wQBFEUaa3R+xQOyfLly5cuXQpg6dKlX/jCFz7/+c+LCN7Jd7/73d///d/P5XLz5s1bsWIF6Lez1sI/1lp44MUunh/FZX1SzYCIKGWqGZxZlh8Nuxe7WFLAUWCthX+stUgLhYM3Pj6eyWSQGBwcrFQqt9xyy+/+7u/ibXbt2rVp06YwDJHIZrOdTgdEB2kK2NF2cxROL4GIKJVOL/1f9uAFSI6zMBv1+818Mz0zO7pYWml7Je2n20q2LMvSyONLfBEKwUMg4APHhvSf+g+XBDLGkAqhKII4rjpzMDHuSgVICOBAQcAm8P0UiakyUAZ+G4F8hdHF8kVta1eXli2PLSO15NnZmdlLH1fnmJKwVt5Z7aWn930e7K7htzV/lSFioLYn0brh4eG3ve1teM0HP/jB97znPa+88sr73ve+dDqNwMjIyH333feRj3zkox/9aCKRQGDz5s0jIyMgalF/A311vGWu6IiBiCiSOmLIZcT/PuX3N7DGALU7idZ1dXVt27YNr3nXu951ww033HzzzXfcccf69esXLlxYq9Weeuqpffv2rV+/vlgs4jUf/vCHQWOzbRvhY9s2ZtQoUB7wF0pcmgYRUYRdmsbuGsoD/mpDxDC1bNtG+Ni2jaiQmAxf+cpXDh8+vHPnzkOHDuE13d3d3/zmN+fPnw8ah0IAIVMIYEb1N9DXwPVzRUcMREQR1hHD5oz4xSm/v4E1BqZOIYCQKQQQFRKTwTTN++67b9u2bT/4wQ9OnTqVyWTe/OY333HHHevXrwfReRgFfjvgL5TYkAYRUeRtSGNXDb8d8FcbIgZqYxKTpLOz8xvf+MbnPve5F198sbOzc8mSJSA6b30N9Ddw/VzREQMRUeR1xLA5I35xyu9rYK0Bal8Sk6orAGqd67oIKKUQGq7rIqCUwrQbBcoDfqfEpWkQEc0Sl6axu4bygN9riBimhOu6CCilEBqu6yKglEL7k6BwcBzHsiyttVIKoeE4jmVZWmulFKZdXx39DRTmikwMRESzRCaGzRnx81N+Xx1rU5gKjuNYlqW1VkohNBzHsSxLa62UQvuToNDwPA/h43keZsIoUK75nRIb0iAimlU2pLGrhnLN702JGKaE53kIH8/zEBUSRKG0v47+BgpzRSYGIqJZJRPD5oz4+Sl/fx0XpkDtSIIofEZ8lGt+p8SGNIiIZqENaeyqoVzzew0RF6C2I0GhYds2wse2bUy7vgYONPDWuSITAxHRLJSJ4bKM+Nkpv6+BC1OYdLZtI3xs20ZUSFA4FAIImUIA02sU2FnzOyUuSYOIaNa6JI2dNeys+WtSIobJVAggZAoBRIUEUcj0N9DfwPVzRSYGIqJZKxNDLiN+ccrvb2CNAWovEkRh4gM7a/4CiQ1pEBHNchvS2FnDzprfawgBaicSFA6u6yKglEJouK6LgFIK0+JgA30NvHmO6IiBiGiW64ghlxEPvOIfbGCVgcniui4CSimEhuu6CCil0P4kKBwcx7EsS2utlEJoOI5jWZbWWimFqecD5Zo/L44NKRAR0as2pLCzhnLNX2kIgcnhOI5lWVprpRRCw3Ecy7K01koptD8JCg3P8xA+nudhuhxuYn8Db8qKOXEQEdGr5sSRS4tfVf3DTaxIYrJ4nofw8TwPUSFBFBo7a/6cGC5Ng4iIfu/SNHbVsLPmr0gKUJuQIAoHt4ln6rgmK+bGQUREvzc3jo0Z8VDVd5tQSVBbkKDQsG0b4WPbNqbFzpqfiWFjGkRE9Ac2prG7hp01XyUFJoNt2wgf27YRFRIUDoUAQqYQwNR7rgmnjqs6MD8OIiL6A/Pj2JjGowN4rollSZynQgAhUwggKiTC6rnnnvv2t7/9yCOPnDp1atWqVTfddNM73/lOjMM999wzOjqK14nH43/yJ38yZ84cUPjsHPRTMWzKCBAR0dlsyog9g/7OQX9ZUoBCTyKUfvazn/3lX/7l0aNHAcRisQcffPCuu+563/ve941vfCOZTGJsjUbj4x//uOu6eJ158+Y9++yzc+bMAYXM0SHsG0S+AxfEQUREZ3VBHJem8dsBXJ7BkgQo5CTCp1KpFIvFo0eP3njjjZ/4xCc6OzsfeOCBT3ziE3fdddeaNWtuvfVWjO3YsWOVSkUIcdVVV+FMmUwmkUggrFzXRUAphdBwXRcBpRSmzK6anxDIpQWIiGhsm9JiT83fVfOXzBM4D67rIqCUQmi4rouAUgrtTyJ8vvzlLx8+fPiqq666++670+k0gLVr12Yymfe///3/8i//UiwWFy1ahDE899xzzWbz8ssv/+Uvf2kYBtqH4ziWZWmtlVIIDcdxLMvSWiulMDUqQ3iqjlwaCyWIiOgcFkpsSGP3IPIZmAlMmOM4lmVprZVSCA3HcSzL0lorpdD+JEJmZGTknnvuAfCxj30snU7jNZZl3X777c8888z9999vWRbGcPDgQQBr1qwxDAPtxvM8hI/neZhKu2p+HMhlBIiI6I3kMmLvoL+r5r99nsB58DwP4eN5HqJCImRc192/f38ikbjmmmtwmmQyefXVVz/zzDMPPvigZVkYwzPPPANg3bp1oHbw0jCeqmNDGoskiIjoDS2SuCSNvYPId2CxBIWWRMgcOnRoeHi4p6dn6dKlONOmTZsAPPPMMxjbM888A2DFihWf+cxnfvnLXw4MDMyfP/+aa64pFosrVqwAhcyumu8DubQAERGNTy4t9g76u2r+n84VoLCSCJmjR48CWLBgQSKRwJm6u7sBHDt2DGM7cOAAgJtvvnlgYMAwDACNRmPHjh3f+ta3vvnNb77jHe/AmYaGhnCa0dHRWCyGGWLbNsLHtm1MjWPDeHIQ61PoSoCIiMapK4FLUnhyEJdlsEhiYmzbRvjYto2okAiZoaEhALFYDK8Ti8UA1Ot13/eFEHidZrP5/PPPA+jp6bn99tuvvPJKALt37/785z//0EMPfeADH3jwwQcvuuginOYf/uEffvKTn+A1HR0dW7duxUwoBBAyhQCmxp6aPwJszggQEVErchnxRN3fU/OvnyvQukIAIVMIICokIuT48eNbt24VQnz2s59duXIlAkuWLLniiiu2bt369NNP/2sAp3lnAK/5+te/DpoWvxvG3kFcnEJ3AkRE1JLuBC5OYe8gNmewUIJCSCJk0uk0AN/3MQbDMIQQOBvTNL/73e/idRYtWlQsFv/2b//2gQceGB0djcVieM1ll12G03R3d4OmxeOD/pCPzRkBIiJq3eaMeGrQf3zQf/McAQofiZDp7u4G8PLLLzebzWQyidM8//zzADo7O9G6jRs3Anj55Zfr9Xomk0H4uK6LgFIKoeG6LgJKKUyekyPYO4iLUliaABERTcDSBC5KYe8gLstgXhwtcV0XAaUUQsN1XQSUUmh/EiGzfPnyZDL50ksvvfDCC8uXL8dpnnjiCQAXX3wxxlCv10dHR2OxWCqVwtlIKWOxGELJcRzLsrTWSimEhuM4lmVprZVSmDx7BzEwilxGgIiIJiqXEU/V/b2DuC6LljiOY1mW1lophdBwHMeyLK21UgrtTyJkenp61q5d++STTz700EPLly/Ha4aHhx9++GEAb3rTmzCGO+6442tf+9r111//3e9+F2fau3cvgHXr1qVSKYSV53kIH8/zMKmqo9gz6K81oJIgIqIJU0msNfD4oJ/LiGwMLfE8D+HjeR6iQiJkYrGYZVm33nrrnXfeeeONNxqGgcB//ud/Pv3008uWLXvLW96C1xw6dMj3/UQisWzZMgBvf/vbb7vtth/+8IfFYvG6667Da1544YU777wTwHvf+17QTHtiECdH8Pa5QoCIiCZOAJsz4vsn/CcG8UcdoFCRCJ+//uu/vuuuu3bs2HHzzTf/3d/93Zw5cx588MGPfexjAD71qU/Nnz8fgXq9XigUDh48+Fd/9Vd33nkngCuuuOKmm276wQ9+8N73vve222679tprAezevfsf//Efn3766euuu+79738/aEYNjmJPzV+VxEoDRER0nlYaWJXEnpq/KS3SMVB4SITPokWLvvWtb33wgx/89re//Z3vfCcejw8PDwshPvWpT/3N3/wNTlOtVoeHh3Gar371qydPnvzZz3724Q9/OBaL+QEAhULh61//eiqVQojZto3wsW0bk+epOo4N481zRAxERHS+YsBlGfG/TvhP1ZHPYPxs20b42LaNqJAIpWuuueaRRx753ve+99hjj3me19vbe9NNN1177bU4jZTy1ltv9X0/k8ngNfIoS4sAACAASURBVAsXLrz33nt/9KMf/fSnPz1w4MDo6OiaNWv+7M/+7F3velc8HkeIFQIImUIAk6ThY3fNX2Gg1wAREU2KXgMrkthd8zekhSEwHoUAQqYQQFRIhNXChQv/JoAxSClvueUWvE4ikXhPABQyTh1Hh3DjfBEXICKiSREX2JwR/+n5Th0b06CQkCCaFkM+dtX8niQuTIGIiCbRhSn0JLGr5l+cEgkBCgMJCgfXdRFQSiE0XNdFQCmF8/NsA0eauGGeSAgQEdEkSgjk0uLek/7+Bi5O4Q25rouAUgqh4bouAkoptD8JCgfHcSzL0lorpRAajuNYlqW1VkrhPIz42FXzzQQuSoGIiCbduhR+W8POmn+hIeIC5+Y4jmVZWmulFELDcRzLsrTWSim0PwkKDc/zED6e5+G89TdwqIE/nSdSMRAR0aRLxZDLiPtO+v1NrDXwhjzPQ/h4noeokCCaYj6wa9BfKLE+BSIimiLrU/jtAHbV/DWGEKAZJkE0xQ420NfAm+eITAxERDRFMjFsyogHXvEPNrDKAM0sCQoN27YRPrZt4/zsGvTnxrAhBSIimlIbUigPYNegv8oQOCfbthE+tm0jKiQoHAoBhEwhgPNwpIln67gmK+bEQUREU2pOHBsz4qGqf6SJniTGUgggZAoBRIUE0VTaVfPTMVyaBhERTYNL09hVw66a35MUoJkjQTRlXhjCvjryHbggDiIimgYXxLEhjfIArhhCdwI0UyQoHFzXRUAphdBwXRcBpRRat7vmS4FNaQEiIpoum9JiT83fXfO75wmcjeu6CCilEBqu6yKglEL7k6BwcBzHsiyttVIKoeE4jmVZWmulFFp0bBhP1XFJGp0SREQ0bTol1qfx5CAu78AiiddzHMeyLK21Ugqh4TiOZVlaa6UU2p8EhYbneQgfz/MwIXtq/iiQSwsQEdH0yqXF3kF/T82/fq7A2Xieh/DxPA9RIUE0BbwRPFnHuhTMBIiIaJqZCaxL4ck6Lu/A/Dho+kkQTYG9gxgcxaa0ABERzYRNafHkoL93EFuyoOknQaFh2zbCx7ZttKg6ir2D/hoDPUkQEdGM6ElijYG9g/7mjMjG8Ads20b42LaNqJCgcCgEEDKFAFr01CBODONP5woBIiKaGQLIZcT3j/tPDeLKDpyuEEDIFAKICgmiSVUfxZ5Bf6WBVQaIiGgGrTKw0sCeQX9jWqRioOkkQTSpnDpeHMJNF4gYiIhoJsWAzRnxwxO+U8emDGg6SVA4uK6LgFIKoeG6LgJKKYzDkI/dg/6yJNYYICKiGbfGwLIkdg/669MiIfDfXNdFQCmF0HBdFwGlFNqfBIWD4ziWZWmtlVIIDcdxLMvSWiulMA59DRxp4p3zREKAiIhmXEIglxb3nvT7GliXwn9zHMeyLK21Ugqh4TiOZVlaa6UU2p8EhYbneQgfz/MwPqPArprflcC6FIiIKCTWpfCbGnbV/AtTIob/n+d5CB/P8xAVEkST5GADB5t4yxyRioGIiEIiFcPGtPjFKf9gA6sN0PSQIJoMPrC75s+L45I0iIgoVC5J47c17K75qwwhQNNBgkLDtm2Ej23bGIfnmni2gWuyIhsDERGFSjaGS9Pioar/XBM9SbzKtm2Ej23biAoJCodCACFTCGAcdg/6qRguTYOIiELo0jR21bB70O9JikIAIVMIICokiM7bi0PYV8fmNC6Ig4iIQuiCOC5JYdcgrsygKwGaahIE3HbbbQj8+te/3rJlC6hFewZ9AWzMCBARUVhtzIjdg/6eQf+tCQGaYhIEjIyMjI6OAhgdHcUMcV0XAaUUQsN1XQSUUhjD8WE8VcfFKSyWICKi0FoscXEKT9XR/bI7X+JVSimEhuu6CCil0P4kCCiVSgiUSiXMEMdxLMvSWiulEBqO41iWpbVWSmEMewf9xig2ZQSIiCjcNmXEE4P+z5/Yd/sH/4fWWimF0HAcx7IsrbVSCu1PgkLD8zyEj+d5GNsrI9g7iLUpLEuAiIhCblkCa1O4vwHP8xA+nuchKiSIzsOTdZwaxTvSAkRE1A5yaXGvD5pqEkQTNTiKPTV/VRIrDBARUVtYYaBb4lUNHzR1JCg0bNtG+Ni2jTE828CxYfzxHBEDERG1hxjQa4jr/+87nm8ibGzbRlRIUDgUAgiZQgBn4wNPD/pdCawyQEREbeT/+rPC8FXXz43BBwTCohBAVEgQTciLQzjUxDVZkRQgIqI2khRYlxIPVf0Xh2AmQFNBgmhC9tX9mMBFKRARUdu5KIVHBrCv7psJAZoCEhQOrusioJRCaLiui4BSCqepj8KpY2USiyWIiKi9uK4LYM5J3zHVH3UgFUMYuK6LgFIK7U+CwsFxHMuytNZKKYSG4ziWZWmtlVI4zcEmXhrGlqwAERG1G8dxLMuyv6OPdqqDTaxLIQwcx7EsS2utlEL7k6DQ8DwP4eN5Hl7nqbrfKbHKABERtSPP88wkmhJP1f11KYFw8DwPUSFB1KKXh3GggcsySMdARERtyhC4KIWdNbw8jE4JmlwSRC1y6hj2sS4lQERE7WxdSjw24D9TR2cWNLkkKDRs20b42LaN0wz52Ff3lyfRnQAREbUp27YBdCewPImn6/4VHSIhMONs20ZUSFA4FAIImUIApzncxAtDeOc8IUBERG2pEEDg4pS496R/uIleAzOrEEBUSBC14um6Py+ONSkQEVEErElhXhVP1/1eQ4AmjwTRuHkj2F/HxWlkYyAiogjIxrA2hacH4WUxPw6aLBIUDq7rIqCUQmi4rouAUgrAs3UM+rg4JUBERG3LdV0ElFIALk6JnTX/2Tqu6MAMcl0XAaUU2p8EhYPjOJZlaa2VUggNx3Esy9JaK6VGfDxd95clsCwBIiJqX47jWJaltVZKAViWwLIEnq77l2VEXGCmOI5jWZbWWimF9idBoeF5HsLH8zwEnhvCc0MozBFxASIiamue5+E1cYGLU+Lnr/jPDWF5EjPI8zxEhQTR+Dxd99MCa1MgIqKIWZvCjiqervvLkwI0GSSIxqE6imfr6E1hfhxERBQx8+PoTeHZOq7LIhsDnT8JCg3bthE+tm0D6Kvj5AjWpwSIiKj92baNM61Picdrfl8dmzKYKbZtIyokKBwKAYRMIeAD3zvudyewPAkiImp3hQDOtDyJ7gSeqvsbM0JgBhQCiAoJojfywhAON7ElKxICREQUSQmBdSnx66r/whCWJEDnSYLojeyr+1LgohSIiCjCLkrh4QHsq/tLEgJ0fiQoHFzXRUAphdBwXbc+ikdO+BetUJ0SREQUAa7rIqCUwmk6JVYl4dRxdQfSMUwz13URUEqh/UlQODiOY1mW1lophdBwHOc9f279H1/7/v+5bjmIiCgSHMexLEtrrZTCmS5Oi6dO+AeaWJ/CNHMcx7IsrbVSCu1PgkLD8zyEzysnvXlxrEqCiIgiw/M8nM2qJBZJPD3or08JTDvP8xAVEkRjOzmCV/UkkYqBiIgiLxXDRSn8toZjw1gkQRMmQTS2o0N4lUoIEBHR7LAuJR4d8PsbWCRBEyZBoWHbNsLEB44O+Tf9P3fMj4OIiKLEtm2MYbGEmUBfw7+yQwhMK9u2ERUSFA6FAMLkd8NYcG3h7W9965uyICKiyCgEMIa4wGpDPDrg/24YnRLTphBAVEgQjeFgE0M+VidBRESzyuokdlRxsIlOCZoYCaIx9DX8LgkzASIimlXMBLok+hr+5RkBmhAJCgfXdRFQSiEETozguSZ6jrtHawKAUgpERBQJrusioJTC2UiB1QZ21nBiBBfEMT1c10VAKYX2J0HA448/jsCLL77Y1dWFmeA4jmVZWmulFELgUAP1UQwffGbT/7S01kopEBFRJDiOY1mW1lophTGsNsRDVf9QAxdkMD0cx7EsS2utlEL7kyDgnnvu+dGPfgRg/vz5XV1dmCGe5yE09jf8RQksiMPzPBARUbR4nodz6k5gUQJ9DT+XEZgunuchKiQI2BYA8LnPfQ4EnBzBkSY2pAEBIiKahZICq5J4YhAnRzAvDmqVBAGGYSAQj8dBwOEmBkbRa4g+EBHRLNVriEcH/MNNXJoGtUqCQsO2bYRDX8PvlFiaRB9g2zaIiChabNvGG1maRKdEX8O/NC0wLWzbRlRIUDgUAgiBV0ZwuImLUjAECgEQEVGEFAJ4I4bASgNOHa+MYE4cU60QQFRIEJ3JHcIrI+g1BIiIaHbrNcRvB3x3COvjoJZIEJ2pr+5fILEsASIimuWWJXCBRF/dX58SoFZIUDi4rouAUgozZ2AUh5pYbSAdw6tc10VAKQUiIooE13URUErhnNIxrEjiQAMDo+iIYUq5rouAUgrtT4LCwXEcy7K01kopzJwjTXgj6DUEAo7jWJaltVZKgYiIIsFxHMuytNZKKbyRNYbYVfOPNHFRClPKcRzLsrTWSim0PwkKDc/zMNP6Gv78OHqS+D3P80BERNHieR7GpyeJ+XH0NfyLUgJTzPM8RIUE0WsGR3GoieVJdMRARET0qo4YlidxqInBUaRjoHGSIHrNc0M4Pow/zgoQERG9ptcQewf954fQa4DGSYJCw7ZtzKi+hj8nDpXE6WzbBhERRYtt2xi35Ulk4+hr+L2GwFSybRtRIUHhUAhg5jR8HGxAJTEnjt8rBEBERBFSCGDc5sSxPIkDDTR8GAJTpBBAVEgQBY428fIwrskKEBERnanXEE8N+kebWGmAxkOCKNDX8DMxrEiCiIjoD6xIIhNDX8NfaQjQOEhQOLiui4BSCtNuyMeBJlQS8+I4neu6CCilQEREkeC6LgJKKYzPvDhUEgeaGPKREJgKrusioJRC+5OgcHAcx7IsrbVSCtPu6BBeGsLlGYEzOY5jWZbWWikFIiKKBMdxLMvSWiulMG69hvjJSf+FIagkpoLjOJZlaa2VUmh/EhQanudhhvQ3fCOGFUm8nud5ICKiaPE8Dy1akYQRQ1/DV0mBqeF5HqJCgma9YR8HGuhJYIEEERHRWS2Q6EngQANbspACdG4SNOtVhvHiMApzBYiIiMbWmxI/P+VXhrEsATo3CQoN27YxEw40IAVWJnFWtm2DiIiixbZttG5lElLgQAPLEpgKtm0jKiQoHAoBTLsRH30Nf2kCCyVerxAAERFFSCGA1i2UWJpAX8O/pkPEBSZXIYCokKDZ7aVhVIbwx3OEABER0bkIYLUhfvmK/9IwuhOgc5Cg2e1AAwJYlQQREdEbWpXEduBAA90J0DlIUDi4rouAUgrTZRToa/hLEliUwFm5rouAUgpERBQJrusioJRCixYlsCSBvob/R1kRw2RyXRcBpRTanwSFg+M4lmVprZVSmC7HhnB0CFuyIoazcxzHsiyttVIKREQUCY7jWJaltVZKoUUxoNcQv676x4bQlcAkchzHsiyttVIK7U+CQsPzPEyvA034wCoD5+B5HoiIKFo8z8NErTLwqyoONNGVwOTyPA9RIUGzlQ/0NfzuBBZLEBERjdNiie4E+hr+VR1CgM5Ogmarl4fxfBNXZ0VcgIiIaJziAqsN8XDVf3kYiyTorCQoNGzbxjQ60MAIsNrAudm2DSIiihbbtnEeVhvYUcWBBhZJTCLbthEVEhQOhQCmiw/0NXxTwpQ4h0IAREQUIYUAzoMpYUr0NfwrOoTA5CgEEBUSNCsdH8ZzQ7gyg7gAERFRS+ICqw08VsPxYSyUoNeToFnpYBNDPlYbAkRERK1bbYgHB/yDTSyUoNeToHBwXRcBpRSm3v6G3yXRncC5ua6LgFIKREQUCa7rIqCUwkR1J9Alsb/h5zMCk8F1XQSUUmh/EhQOjuNYlqW1Vkphih0fxnNNXJaBFDg3x3Esy9JaK6VARESR4DiOZVlaa6UUJkoKrDaws4bjw1ggcf4cx7EsS2utlEL7k6DQ8DwP0+JQE/VRrDYExsHzPBARUbR4nofzttoQD1X9Q00skJgUnuchKiQIGB0dRcD3fSEEoq6v4S9OYEkCREREE7YkgcUJ7G/4mzMCdCYJAj772c8+8MADAGKx2NatWxFp3gjcJjamkRAgIiKasITAqiQeH4Q3gvlx0OkkCHhzAMC///u/Y+bYto2pd6iJwVH0pgTGx7ZtEBFRtNi2jcnQmxKPDviHmtiUxvmzbRtRIUHAli1bEHjggQcwQwoBTL2+ut8psTSB8SgEQEREEVIIYDIsTaBToq/ub0oLnJ9CAFEhQbPJqRG4Q1ifQlKAiIjoPCUFVhl4chCnRjA3Dvo9CZpNDjdRHUGvIUBERDQZeg3x2IB/uIkNadDvSVA4uK6LgFIKU2Z/w18osTSBcXJdFwGlFIiIKBJc10VAKYXztjSBhRL7G/6GtMB5cF0XAaUU2p8EhYPjOJZlaa2VUpgar4zgcBMXpZCKYZwcx7EsS2utlAIREUWC4ziWZWmtlVI4b6kYVhlw6nhlBHPimDDHcSzL0lorpdD+JCg0PM/DVHKbeGUEvYZAKzzPAxERRYvneZg8vYb47YDvNrE+jfPheR6iQoJmjf0Nf4HEsgSIiIgm0bIEFkjsb/jr0wIUkKDZYWAUh5tYbSAdAxER0SRKx7Aiif4GBkbREQO9SoJCw7ZtTBm3CW8EawyBFtm2DSIiihbbtjGp1hhiZ813m1iXwoTZto2okKBwKAQwZfoa/gVx9CTRkkIAREQUIYUAJlVPEhfE0dfw16UEJqQQQFRI0CxQG8XBBlYYyMRAREQ06TIxrDBwsIHaKDIxkATNAkeaODGC6w0BIiKiqbHGELtr/pEmLkyBJCgcXNdFQCmFydbX8OfF0ZNEq1zXRUApBSIiigTXdRFQSmHy9CQxL46+hn9hSqB1rusioJRC+5OgcHAcx7IsrbVSCpNqcBQHm1iRRDaGVjmOY1mW1lopBSIiigTHcSzL0lorpTB5sjGsSOJgE4OjSMfQKsdxLMvSWiul0P4kKDQ8z8MUeG4Ix4exNSswIZ7ngYiIosXzPEyBXkPsHfSfH0KvgQnwPA9RIUFR19fw58SxPAkiIqIptTyJOXHsb/i9hsDsJkGRVh/FgQaWJzEnDiIioik1J47lSRxooD6KVAyzmQSFhm3bmGzPD+F3w9iSFZgo27ZBRETRYts2psYaQzw56D8/hNUGWmXbNqJCgsKhEMBk62v42TiWJzExhQCIiChCCgFMjeVJZOPoa/irDYFWFAKICgmKroaPAw2oJObGQURENA3mxqGSONBAw4chMGtJUHQ938SxYVydFSAiIpouawzx9KB/tImVBmYtCQoH13URUEphkvQ1/I4YViQxYa7rIqCUAhERRYLruggopTAFViTREcP+hr/SEBg313URUEqh/UlQODiOY1mW1lophcnQ9HGgCZXEvDgmzHEcy7K01kopEBFRJDiOY1mW1lophSkwLw6VxIEmmj6SAuPkOI5lWVprpRTanwSFhud5mDxHh3BsCFdmBM6P53kgIqJo8TwPU6nXEM5J/+gQViQxfp7nISokKKL6Gn46hpUGiIiIptlKA+kY+hr+iqTArCRBUTTko7+BniTmx0FERDTN5sfRk0R/A2/KIiEwC0lQaNi2jUlydAgvDeHyjMB5s20bREQULbZtY4qtMcRPTvovDEElMU62bSMqJCgcCgFMkv6Gn4phRRLnqRAAERFFSCGAKbYiiVQMfQ1fJQXGoRBAVEhQ5Az56G+gJ4kFEkRERDNigcSyJPob2JKFFJhtJChyKkN4cRi5jAAREdHMWWOI+075LwyhJ4nZRoLCwXVdBJRSOD99DT8psDKJ8+e6LgJKKRARUSS4rouAUgpTaWUSSYG+ht+TFHgjrusioJRC+5OgcHAcx7IsrbVSCudh2Ed/A8sSWCBx/hzHsSxLa62UAhERRYLjOJZlaa2VUphKCySWJdDfwHVZSIFzcxzHsiyttVIK7U+CQsPzPJy3yjBeHEZhrhCYHJ7ngYiIosXzPEw9AfQa4hev+JVhLEvgDXmeh6iQoGjpb0AKrEyCiIhoxq0yIKvob2BZArOKBEXIiI++hr8sgYUSREREM26hxNIE+hv+tR0iLjB7SFBo2LaN8/PiMCpDeMscITBpbNsGERFFi23bmBYCWGOI//2K/+IwliRwbrZtIyokCPjiF7+IwKOPPnrVVVdhJhQCOD/9DcSBVQYmSyEAIiKKkEIA02WVgfgr6G9gSQLnUAggKiQIOHny5KlTpwDU63W0rREffQ1/aRKdEkRERCHRKbE0ib6Gf3WHiAvMEhIElEolBEqlEtrWS8N4YQh/PEcIEBERhYUAeg3xy1f8l4bRncAsIUHh4LouAkopTEh/AwJYlcQkcl0XAaUUiIgoElzXRUAphWmxKontQH8D3QmMxXVdBJRSaH8SFA6O41iWpbVWSqF1o0Bfw1+SwKIEJpHjOJZlaa2VUiAiokhwHMeyLK21UgrTYlECSxLoa/hXZ0UMZ+c4jmVZWmulFNqfBIWG53mYqJeG8MIQ3jRHxDDJPM8DERFFi+d5mEYxoNcQv676Lw3BTGAsnuchKiQoEg404QOrkiAiIgqh1QZ+VcWBJswEZgMJan+jQF/dX5LA4gSIiIhCaHECSxLoq/tXdYgYok+CQsO2bUzIy8N4fgjXZUUMk8+2bRARUbTYto3pFQN6DbGj6r88jMUSZ2XbNqJCgsKhEMCEHGjAB1YbmHSFAIiIKEIKAUy71QZ+XcWBBhZLvF4hgKiQoDbnA/sbfncCiyWIiIhCa7FEdwL7G/6VHUIg4iSozb08jOebuDor4gJEREShFRdYbYiHq/7Lw1gkEW0SFA6u6yKglEIrDjQwAvQamAqu6yKglAIREUWC67oIKKUwvXoN7KjiQAOLJP6A67oIKKXQ/iQoHBzHsSxLa62Uwrj5wP6G351Al8RUcBzHsiyttVIKREQUCY7jWJaltVZKYXp1SXQnsL/hX9EhBM7gOI5lWVprpRTanwSFhud5aNHvhvH8EK7qEHGBKeJ5HoiIKFo8z8NMiAusNsSjA/7vhtEp8Qc8z0NUSFA7O9DAsI/VBoiIiNrCagMPVnGggU6JCJOgtuUDfQ2/S8KUICIiagumRJdEX8O/vEMIRJYEhYZt22jF8WEcGcKVGUiBqWPbNoiIKFps28YMkQK9Bh6r4fgwFkqczrZtRIUEhUMhgFYcaGLIx2pDYMoUAiAioggpBDBzVhviwQH/YBMLJX6vEEBUSFDb6qv7XRLdCRAREbWR7gS6JPbX/XxGIKIkqD0dH8aRIeQzkAJERERtRAqsNlCu4fgwFkhEkgSFg+u6CCilMA4Hm2j66DUEppLruggopUBERJHgui4CSinMkF5DPDzgH2xigcR/c10XAaUU2p8EhYPjOJZlaa2VUhiH/Q1/sUR3AlPKcRzLsrTWSikQEVEkOI5jWZbWWimFGdKdwGKJ/Q3/soxAwHEcy7K01koptD8JCg3P8zA+J0ZwpInNGSQEpprneSAiomjxPA8zKiGw2sCuGk6M4II4/pvneYgKCWpDBxuoj6LXECAiImpPvYZ4uOofbOCCDKJHgtrQ/oa/OIElCRAREbWpJQksTmB/w9+cEYgcCQoN27YxDt4IjjSxKYOEwDSwbRtERBQttm1jpiUEVhvYU4M3gvlxvMq2bUSFBIVDIYBxONjA4Ch6DYGpVwiAiIgipBBACPQa4pGqf7CBXAaFAKJCgtpNX8NflMCSBIiIiNrakgQWJdDX8HMZgWiRoLZycgRuExvSSAoQERG1taTAqiSeGMTJEcyLI0okwm1gYKDRaMydO1dKiRbVarV6vT537lwpJULPdV0ElFIY26EmaqNYYwhMC9d1EVBKgYiIIsF1XQSUUphpawzx2IB/qIkLjrkIKKXQ/iTC6sc//vGXvvSlvXv31ut10zRvuOGGbdu2LVy4EOPw05/+9Itf/OLevXtrtZppmjfccMO2bds6OzsRYo7jWJaltVZKYWz7636nxJIkpofjOJZlaa2VUiAiokhwHMeyLK21UgozbUkSnRL76/5cx7EsS2utlEL7kwilL3zhC5/85Cd93zdNc8mSJX19ff/0T//0q1/96sc//nFXVxfO6Z//+Z8/8YlPjI6Omqa5dOnS/v7+L3zhC9u3b7/33nuXLFmCEPM8D+d0cgSHm7gkDUNg2nieByIiihbP8xAOhsAqA08OYvUoPM9DVEiEz549e2699Vbf9++4446PfOQj2Wx2586dH/rQh8rl8rZt2771rW9hbE888cRnPvOZ0dHR22+//aMf/Wg2m929e/eHPvShXbt2ffrTn77rrrvQzg43MTCKXkOAiIgoKnoN8diA/+IQokQifL70pS8NDg6+973v/fu//3sELr/88i9/+ctbt2793ve+9+lPf3rt2rUYw5e+9KVarXbjjTdu27YNgcsuu+xf//Vft2zZorXetm3bunXr0Lb2N/xOiWVJEBERRcayJDolnh/yESESIVOv1++//34AH/zgB3GaLVu2XH755b/5zW8eeOCBtWvX4mwajcb9998P4AMf+ABOc80111x55ZWPPPLI/fffv27dOoSVbdsY26kRHG7i4hQMgelk2zaIiChabNtGaBgCqww8Poz/9/M2okIiZPr7+59//vmOjo7NmzfjTFdfffVvfvObxx577Oabb8bZHDx48MiRI+l0+rLLLsOZrrnmmkceeeTRRx/92Mc+hlAqBDC2w01UR9BrCEyjQgBERBQhhQDCpNcQS68rvOudb92QRjRIhMzhw4d931+8ePGCBQtwpgsvvBDA/v37MQbXdUdHRxctWtTZ2YkzXXjhhQD6+vrQtvY3/IUSyxIgIiKKmGUJLJTY3/A3pAUiQSJkjh07BmD+/PlSSpxp0aJFAE6cOOH7vhACr/Pyyy8DmDdvXiKRwJkWLVoE4MSJE6Ojo7FYDK959tlncZrf/e53CxcuxJR5YhATdriJCw2kYiAiIoqYVAwrk3imgScGMWEb0ggPiZDxzTsL2wAAIABJREFUfR/nNDIygjH4vo9zGhkZwZm+973vff/738druru7t27diilzfAQ7qj7O5uTzLgLzliqMYU1KYHq5rouAUgpERBQJrusioJRCaHQcO3L0pH8XMG+pQuuuywqEicTs9skAXnP77bdjKq01sNYQOJtf7Xrm5v9p3fld/aZLl2MM8+OYZo7jWJaltVZKgYiIIsFxHMuytNZKKYTGqX7nG//DuvO7+k2XLkf7kwiZefPmAWg2m3idRqMBIJvNCiFwNnPnzgUwNDTk+74QAqdpNBoAstlsLBbDabLZLE6TTCYxlboTGMsCiVOet0CiO4FQ8TwPREQULZ7nIWQMgVOet0CiO4EIkAiZ7u5uAMeOHavVaplMBqc5dOgQgK6uLozBNE0Ax44dGxgYyGazOM3hw4cBdHV1gYiIiGiKSYTMqlWrstnssWPHDhw4cMkll+A0jz/+OIBLL70UY1i5cuXcuXOPHz/e39+/ceNGnGbPnj0ANmzYACIiIqIpJhEyixcvzuVyO3bs+PnPf37JJZfgNZ7nPfjggwDe8pa3YAydnZ2bN2/evn37z372s40bN+I1p06d2rFjB4BCoYAQs20b4WPbNoiIKFps20b42LaNqJAInw996EM7duz4yle+cuONNy5fvhyBr33ta0ePHr3sssu2bNmCwPDw8D333DMyMmIYxrvf/W4EPvzhD2/fvv2rX/3qe97znpUrVyJw5513HjlyZNOmTVu3bkVYFQIImUIAREQUIYUAQqYQQFRIhM9f/MVffP/737/vvvtuuOGGm2++ed68edu3b//GN75hGMZtt92WSCQQGB4e/vjHP3706NFisfjud78bgT//8z//j//4j5/+9Kc33HDDLbfcMn/+/F/96lf/9m//lkwmb7vttmQyCSIiIqIpJhE+UsrvfOc7t9xyyz333HPLLbcgsHz5ctu23/a2t+E0hmEIIXCaeDz+7W9/+6Mf/eh//dd/3XLLLQgopT7/+c+/4x3vABEREdHUkwilxYsX//CHP9yzZ8/jjz9+4sSJ3t7e6667bt68eThNMpm89957R0ZGpJQ4zaJFi37wgx88/vjje/bsOXHiRG9v77XXXjt//nyEm+u6CCilEBqu6yKglAIREUWC67oIKKUQGq7rIqCUQvuTCLFNAYwhFoutX78eY9gYQPtwHMeyLK21Ugqh4TiOZVlaa6UUiIgoEhzHsSxLa62UQmg4jmNZltZaKYX2J0Gh4XkewsfzPBARUbR4nofw8TwPUSFBRERERJNKgoiIiIgmlQSFhm3bCB/btkFERNFi2zbCx7ZtRIUEhUMhgJApBEBERBFSCCBkCgFEhQQRERERTSoJIiIiIppUEhQOR44cQaCnpwehceTIEQR6enpARESRcOTIEQR6enoQGkeOHEGgp6cH7U+CwmHfvn2WZWmte3p6EBr79u2zLEtr3dPTAyIiioR9+/ZZlqW17unpQWjs27fPsiytdU9PD9qfBIWG53kIH8/zQERE0eJ5HsLH8zxEhQQRERERTSoJOs327dsBlEolTLv+/v5MJnP33Xc//PDDCI3+/v5MJnP33Xc//PDDICKiSOjv789kMnfffffDDz+M0Ojv789kMnfffffDDz+MkNm+fTtaJEFnajab27dvz+fz2WwWLapWq+VyOZ/PZ7NZtKirqyufz3d1daF11Wq1XC7n8/lsNosWVavVcrmcz+ez2SxeZ/Xq1Z/85Ccxhmq1Wi6X8/l8NptFi6rVarlczufz2WwWLapWq+VyOZ/PZ7NZtKharZbL5Xw+n81m0aJqtVoul/P5fDabRYuq1Wq5XM7n89lsFi2qVqvlcjmfz2ezWbSoWq2Wy+V8Pp/NZtGiarVaLpfz+Xw2m0WLqtVquVzO5/PZbBYtqlar5XI5n89ns1m0qFqtlsvlfD6fzWbRomq1Wi6X8/l8NptFi6rVarlczufz2WwWLapWq+VyOZ/PZ7NZtKharZbL5Xw+n81m0aJqtVoul/P5fDabRYuq1Wq5XM7n89lsFi2qVqvlcjmfz2ezWbSoWq2Wy+V8Pp/NZtGiarVaLpfz+Xw2m0WLqtVquVzO5/PZbBYtqlar5XI5n89ns1m0qFqtlsvlfD6fzWbRomq1Wi6X8/l8NpvF66xevfqTn/wkxlCtVsvlcj6fz2azaFG1Wi2Xy/l8PpvNokVdXV35fL6rqwutq1ar5XI5n89ns1m0qFqtlsvlfD6fzWYxeSToNNu3b69UKrlcTmttmiZaVKlUcrmc1to0TbSoUqnkcjmttWmaaFGlUsnlclpr0zTRokqlksvltNamaaJFlUoll8tprU3TRIsqlUoul9Nam6aJFlUqlVwup7U2TRMtqlQquVxOa22aJlpUqVRyuZzW2jRNtKhSqeRyOa21aZpoUaVSyeVyWmvTNNGiSqWSy+W01qZpokWVSiWXy2mtTdNEiyqVSi6X01qbpokWVSqVXC6ntTZNEy2qVCq5XE5rbZomWlSpVHK5nNbaNE20qFKp5HI5rbVpmmhRpVLJ5XJaa9M00aJKpZLL5bTWpmmiRZVKJZfLaa1N00SLKpVKLpfTWpumiRZVKpVcLqe1Nk0TLapUKrlcTmttmiZaVKlUcrmc1to0TbSoUqnkcjmttWmaaFGlUsnlclpr0zTRokqlksvltNamaaJFlUoll8tprU3TRIsqlUoul9Nam6aJFlUqlVwup7U2TRMtqlQquVxOa22aJlpUqVRyuZzW2jRNtKhSqeRyOa21aZqYPBJERERENKkk6HWKxSJmQrFYxEQVi0VMVLFYxEQVi0XMhGKxiIkqFouYqGKxiIkqFouYCcViERNVLBYxUcViERNVLBYxE4rFIiaqWCxioorFIiaqWCxiJhSLRUxUsVjERBWLRUxUsVjETCgWi5ioYrGIiSoWi5ioYrGImVAsFjFRxWIRE1UsFjHZJOhMpmmWSiVMO9M0S6USJsQ0zVKphAkxTbNUKmFCTNMslUqYdqZplkolTIhpmqVSCRNimmapVMKEmKZZKpUw7UzTLJVKmBDTNEulEibENM1SqYQJMU2zVCph2pmmWSqVMCGmaZZKJUyIaZqlUgkTYppmqVTCtDNNs1QqYUJM0yyVSpgQ0zRLpRImxDTNUqmEaWeaZqlUwoSYplkqlTAhpmmWSiVMiGmapVIJ0840zVKphAkxTbNUKmFCTNMslUqYbBI0qYrFImh8isUiaHyKxSJofIrFImh8isUiaHyKxSJofIrFIgiQoMljmmapVAKNg2mapVIJNA6maZZKJfx/7cF/TJMH/gfw90MfeHyKxeFEqi1TYW31bFOEjN6XHduN7YKTpe7OY4MiTufGxJMfnd2vW1HMRnJmot1m3O3GnU48d4fKgsxZ4ooGtynqHCsdDEhXFrJONn6ps5balm/SpEkNcvFm/7i0n9eL3AaxWFxTUwNyG8RicU1NDchtEIvFNTU1ILdBLBbX1NSAACwIIYQQQkhYsSCEEEIIIWHFghBCCCGEhBULQgghhBASViwIIYQQQkhYsSCEEEIIIWHFgoRJb2/v+fPnf/zxx/nz5//6179euHAhSJDH49mzZ8/cuXN1Oh1uxe/3d3R0dHV1eTwemUyWk5MjFAoRZQYHBy9cuDA4OBgTE7NkyRKNRjNz5kxM4ff7Ozo6urq6PB6PTCbLyckRCoWIJpOTk52dnVardWRkZM6cOUqlctmyZQzDYAq/39/R0dHV1eXxeGQyWU5OjlAoRBT75z//OTQ0VFBQkJKSgpv5/f6Ojo6uri6PxyOTyXJycoRCIaLGtWvXJiYmcCuxsbEikQgh/H5/R0dHV1eXx+ORyWQ5OTlCoRBRxu/3d3R02Gw2l8ulUCgefPBBnucxhd/v7+jo6Orq8ng8MpksJydHKBQiOrAgd2xiYsJgMNTX17vdbgSIRKIXXnihuroaJODLL7/cvHnziy++iFvp7u7etGnTyZMnEbR48WKTyZSXl4focOPGjZdffvm99967evUqghYtWlRTU7NmzRqE6O7u3rRp08mTJxG0ePFik8mUl5eH6PDtt99u3LjxxIkTfr8fAQzDPPTQQ7t3716yZAlCdHd3b9q06eTJkwhavHixyWTKy8tDVLpw4cKGDRuuX7++YsUK3Ky7u3vTpk0nT55E0OLFi00mU15eHqJDY2OjXq/3+Xy4GcMwzz333BtvvIGg7u7uTZs2nTx5EkGLFy82mUx5eXmIGl1dXRUVFadOnUKQSqV66623fvvb3yJEd3f3pk2bTp48iaDFixebTKa8vDxEARbkjhkMht27d8fFxZWXlysUivPnz7///vtbtmyJi4t76aWXEPW8Xu+uXbv8fj9uZWxsrKioyGq1KhSK4uJinudbWlra29sLCwstFktGRgaiQFVV1Z49exiGWb16dVZWlsvlOnbs2OnTp9euXetyuTZs2ICAsbGxoqIiq9WqUCiKi4t5nm9paWlvby8sLLRYLBkZGYh0LpersLDw/PnzixYtWr16tVgsHhwcPHjwYFtbW0FBwenTpxMTExEwNjZWVFRktVoVCkVxcTHP8y0tLe3t7YWFhRaLJSMjA1Hm2rVrf/rTn37++WeGYXCzsbGxoqIiq9WqUCiKi4t5nm9paWlvby8sLLRYLBkZGYgCvb29ly9fFggEuFlMTMzk5CSCxsbGioqKrFarQqEoLi7meb6lpaW9vb2wsNBisWRkZCAKOByOlStXOhwOjUazcuVKhmGOHDly4cKFwsLC06dPy2QyBIyNjRUVFVmtVoVCUVxczPN8S0tLe3t7YWGhxWLJyMhApGNB7sy5c+feeecdhmGOHDny2GOPIeD+++8vLS3dvn376tWrJRIJotL4+Ph3331ntVo/+OCD48ePYxomk8lqtSqVSrPZLJFIAJSXl+t0uqamppqamqNHjyLSWa3W9957D8D+/ftXr16NAIPB8MILL+zataumpmbVqlVJSUkATCaT1WpVKpVms1kikQAoLy/X6XRNTU01NTVHjx5FpDt48OD58+fT0tJOnDixaNEiBKxduzY3N/frr7/et2+fXq9HgMlkslqtSqXSbDZLJBIA5eXlOp2uqamppqbm6NGjiDIvv/zyuXPncCsmk8lqtSqVSrPZLJFIAJSXl+t0uqamppqamqNHjyIK9Pf3A9i7d29OTg5uxnEcgkwmk9VqVSqVZrNZIpEAKC8v1+l0TU1NNTU1R48eRRT485//7HA41qxZ8+67786YMQPAxo0bV61a9cknn9TV1f31r39FgMlkslqtSqXSbDZLJBIA5eXlOp2uqamppqbm6NGjiHQsyJ3Zt2+fz+d78sknH3vsMQQ9/fTTf/vb3y5cuHDo0KGqqipEpYaGBr1e7/P5ML2JiYmGhgYARqNRIpEggOO46urq5ubm1tbW/v5+mUyGiPbxxx/fuHHjN7/5TXFxMYIEAsHWrVsPHz48ODh46tSpgoKCiYmJhoYGAEajUSKRIIDjuOrq6ubm5tbW1v7+fplMhojW0tIC4Omnn160aBGCFApFUVFRXV1de3u7Xq8HMDEx0dDQAMBoNEokEgRwHFddXd3c3Nza2trf3y+TyRA1Ghsbd+/e/cgjj3z22WdutxshJiYmGhoaABiNRolEggCO46qrq5ubm1tbW/v7+2UyGSLdwMAAgKVLly5cuBDTmJiYaGhoAGA0GiUSCQI4jquurm5ubm5tbe3v75fJZIhovb29TU1Ns2fPfv3112fMmIGAhISEl156yWazffHFF16vl2XZiYmJhoYGAEajUSKRIIDjuOrq6ubm5tbW1v7+fplMhojGgtyBycnJ06dPA1i5ciVCCASC/Pz8CxcuWCyWqqoqRKXU1NQdO3Yg4NNPPz1y5Aim6OnpcTgcIpEoNzcXIdRqtUql6uzsPHv2rEwmQ0Sz2WwAHnzwQYZhEGLWrFlyuXxwcHBoaAhAT0+Pw+EQiUS5ubkIoVarVSpVZ2fn2bNnZTIZItpPP/101113LVu2DDdLTEwE4Ha7EdDT0+NwOEQiUW5uLkKo1WqVStXZ2Xn27FmZTIboYLfbq6qqxGLxO++8c99997ndboTo6elxOBwikSg3Nxch1Gq1SqXq7Ow8e/asTCZDRHO5XIODg0KhUCqVYno9PT0Oh0MkEuXm5iKEWq1WqVSdnZ1nz56VyWSIaMePH/d4PL/73e9SUlIQIjc3t7e3l2EYlmUB9PT0OBwOkUiUm5uLEGq1WqVSdXZ2nj17ViaTIaKxIHdgeHjY4XAwDKNWq3Gz++67D8A333zj8/kEAgGiT35+PoK+/PJL3IrNZgOQmpqalJSEEAzDqNXqzoCSkhJEtKVLl1ZXVy9btgw3u3HjhtPpBJCYmAjAZrMBSE1NTUpKQgiGYdRqdWdASUkJIlpzc/Pk5OTMmTNxs2+++QaAUqlEgM1mA5CampqUlIQQDMOo1erOgJKSEkQBn89XXl7+ww8/fPDBB8nJyQzD4GY2mw1AampqUlISQjAMo1arOwNKSkoQ0X788cexsbEFCxZ4PJ4DBw709fUBWLp06cMPPzxnzhwE2Ww2AKmpqUlJSQjBMIxare4MKCkpQUQ7c+YMgAceeAABLpfL7/fHx8fHxMQkJCQgyGazAUhNTU1KSkIIhmHUanVnQElJCSIaC3IHLl++fP36dZ7nk5KScLP58+cDGB0dvX79+syZM0FuZWhoCIBYLMYUKSkpAJxOJyLdK6+8glv517/+1dPTk5CQkJOTA2BoaAiAWCzGFCkpKQCcTiciXVJSEoKGhobGx8edTueRI0cOHDhw7733lpWVIWBoaAiAWCzGFCkpKQCcTieiw1/+8pfjx49v2LChsLDw6tWrmGJoaAiAWCzGFCkpKQCcTici3eDgoNfrnTt3blZW1g8//IAgsVi8bdu20tJSBAwNDQEQi8WYIiUlBYDT6USk6+/vB5CWlnb8+HGTyfTVV195vd6UlJRVq1ZVVVXNnDkTAUNDQwDEYjGmSElJAeB0OhHpWJA7cOXKFb/fz7JsbGwsbhYXFwfA5XL9/PPPM2fOBLmV4eFhABzHYQqe5wGMjo4iKu3du3fjxo0A9Hr9PffcA2B4eBgAx3GYgud5AKOjo4gmBoPh4MGDfr8fwBNPPPHaa6+lpqYiYHh4GADHcZiC53kAo6OjiAJtbW3btm1btmzZ9u3bMY3h4WEAHMdhCp7nAYyOjiLS2e12AGfOnFEqlZs3b547d+7o6OgHH3zQ0dGxYcOG2NjYdevWARgeHgbAcRym4HkewOjoKCKa1+sdHR0F8MUXXxiNRoZhpFJpTExMZ4DZbP7www+TkpIADA8PA+A4DlPwPA9gdHQUkY4FIeR/yZkzZ7Zt29ba2gqgvLx8y5YtILeSnJy8cuXKS5cuffXVV42NjVeuXNm7d69YLAYJGBkZKS8vFwgEb7/9dkJCAsj0+vv7k5OTNRrNvn37EhMTEVAW8I9//GPbtm2rVq1KSEhA1JucnPT5fABeffXVP/zhD1u3bl2yZInX621raystLf3ss882b968f/9+kAAWhJD/DU6nc+vWrfv27fN6vQqForq6uri4GGQaO3bsQEBfX19ZWZnZbF6/fv2xY8dAAvR6fXd3d11d3f333w/yH23ZssVoNMbGxrIsi6C4uLitW7ceOXLku++++/TTT1esWAESdN999+3fvz8+Ph5AbGxsfn7+3//+90cfffTw4cOvvfbaggULQAAW5A7MmTMnNjbW7Xb//PPPd911F0JcvnwZgEgkSkhIAJmGVCoFMD4+jilGRkYAJCcnIzp8+OGHlZWVg4OD8+fP37x5c2lp6cyZMxFCKpUCGB8fxxQjIyMAkpOTEZXkcvn27duzsrJOnDhht9vT0tKkUimA8fFxTDEyMgIgOTkZEe3zzz8/cOBAZmbm3XfffeDAAQTcuHFjYmJicnLy1KlTFy5ciIuLe+KJJ6RSKYDx8XFMMTIyAiA5ORmRjuM43Mo999zzq1/96syZM729vStWrJBKpQDGx8cxxcjICIDk5GRENIFAEB8fD6CwsDA+Ph4hcnNzFy5cODAw0NXVtWDBAqlUCmB8fBxTjIyMAEhOTkakY0HuQFJS0t13333p0iWn0ymVShHiu+++AyCRSIRCIcg00tLSADidTp/PJxAIEMLhcACQy+WIAvv371+/fr3X692wYcO2bdvmzp2LKdLS0gA4nU6fzycQCBDC4XAAkMvliGhfffVVa2srwzCVlZVxcXEIsXTp0qSkpB9//PHSpUtpAQCcTqfP5xMIBAjhcDgAyOVyRDSfzzc5OfnFF1+sXbsWU5SVlQEoLi5+4okn0tLSADidTp/PJxAIEMLhcACQy+WIYhzHAfD7/QDS0tIAOJ1On88nEAgQwuFwAJDL5YhoMTExycnJvb2999xzD24WFxcnEokAuFwuAGlpaQCcTqfP5xMIBAjhcDgAyOVyRDoW5A7wPL906dJLly6dOXMmKysLIT7//HMAWVlZINNTKpU8zw8MDNjtdrlcjiCPx2O1WgFoNBpEur6+Pr1e7/V633333dLSUkxDqVTyPD8wMGC32+VyOYI8Ho/VagWg0WgQ0WbNmlVdXc1x3Jo1a5KTkxHi2rVr169fZxhGJBIBUCqVPM8PDAzY7Xa5XI4gj8djtVoBaDQaRDSWZUtLS3GzycnJffv23bhxo7S0FIBYLAagVCp5nh8YGLDb7XK5HEEej8dqtQLQaDSIaE6n8/nnnwewa9euefPmIYTf7x8ZGQGwaNEiAEqlkuf5gYEBu90ul8sR5PF4rFYrAI1Gg0iXnp7e3t7+zTff4GbXr18fHx8HMGfOHABKpZLn+YGBAbvdLpfLEeTxeKxWKwCNRoNIx4LcGa1Wa7FYDh48uHHjxtjYWASMjo42NzcDWLlyJcj0pFJpdna2xWJpbGw0Go0IMpvNdrtdIpFoNBpEunfffXd0dHTdunWlpaWYnlQqzc7OtlgsjY2NRqMRQWaz2W63SyQSjUaDiJaSkiKTyb7++uuPPvpo/fr1CHHs2LGrV6+mpKSkpaUBkEql2dnZFoulsbHRaDQiyGw22+12iUSi0WgQ0f4vADcbHx8/fPjw+Ph4VVXVkiVLECCVSrOzsy0WS2Njo9FoRJDZbLbb7RKJRKPRIKLNmzdvYGCgo6MjIyPjxRdfRIhTp07ZbLa77rorOzsbgFQqzc7OtlgsjY2NRqMRQWaz2W63SyQSjUaDSKfVat96660DBw5s3Lhx9uzZCGppaRkcHJw7d256ejoAqVSanZ1tsVgaGxuNRiOCzGaz3W6XSCQajQaRjgW5MyUlJW+++ea5c+e2bdv26quv8jw/MjKi1+sHBwdzcnLy8vJA/qOKioq2trba2tr09PT8/HyGYS5evGgwGACUlZUlJCQgok1OTn7yyScAJBLJm2++iVtRKpUPP/wwgIqKira2ttra2vT09Pz8fIZhLl68aDAYAJSVlSUkJCCiCQSCNWvWvPTSS88///ysWbOWL18eHx9/5cqVjz/+uLy8HMD69evj4+MRUFFR0dbWVltbm56enp+fzzDMxYsXDQYDgLKysoSEBEQfgUCAAIZhEKKioqKtra22tjY9PT0/P59hmIsXLxoMBgBlZWUJCQmIaAzDbNy4saOjw2g0zps3r6CgYMaMGTdu3Dh16tSzzz47OTlZWloqFosRUFFR0dbWVltbm56enp+fzzDMxYsXDQYDgLKysoSEBES6hx566IEHHmhvb3/qqadqa2uXLl3qdruPHTv27LPPAnjuuedmz56NgIqKira2ttra2vT09Pz8fIZhLl68aDAYAJSVlSUkJCDSsSB3JjExcffu3U8++WRtbe2hQ4cSExMHBwedTmdqauqePXsEAgHIf6TVavV6/c6dO7VabWZmJgCbzeZ2uwsKCgwGAyLd+Pj4wMAAgNdffx3TOHToEAK0Wq1er9+5c6dWq83MzARgs9ncbndBQYHBYEAUqKys/PTTT1taWgoKCubOnZuYmDgyMjI8PAyguLj45ZdfRpBWq9Xr9Tt37tRqtZmZmQBsNpvb7S4oKDAYDCAhtFqtXq/fuXOnVqvNzMwEYLPZ3G53QUGBwWBAFCgpKbFYLPv371+zZk11dXVycvLw8PC3334L4I9//ONrr72GIK1Wq9frd+7cqdVqMzMzAdhsNrfbXVBQYDAYEAViYmLefPPNxx9//KOPPjKbzQsWLHC5XD/88AOA4uLiLVu2IEir1er1+p07d2q12szMTAA2m83tdhcUFBgMBkQBFuSOPfroo5988skbb7xx5swZp9M5Z86cZ5555pVXXklNTQUJEIvFq1atmj17Nm6lrq5OpVLV19f39fV5vV6FQqHT6SorKzmOQ6Rzu93Lly/3+XyYHsdxCKqrq1OpVPX19X19fV6vV6FQ6HS6yspKjuMQBTiOO3z48J49exobG7/99tvvv/9+1qxZeXl5xcXFq1evZhgGIerq6lQqVX19fV9fn9frVSgUOp2usrKS4zhEJZZlly9f7vV6Z8yYgZvV1dWpVKr6+vq+vj6v16tQKHQ6XWVlJcdxiAIMw+zduzcrK+v999/v7e39/vvveZ7PysoqLS1dt25dTEwMQtTV1alUqvr6+r6+Pq/Xq1AodDpdZWUlx3GIDunp6adOndqxY8eJEyecTqdQKHzwwQdLSkrWrVsXExODEHV1dSqVqr6+vq+vz+v1KhQKnU5XWVnJcRyiAAsSDllZWYcOHZqYmLh27ZpIJIqNjQUJsX37dvxHawNcLpfX6xWJRAzDIDrMmzfv3//+N/4bawNcLpfX6xWJRAzDIJrExcVVBVwPiI+P5zgO01gb4HK5vF6vSCRiGAZRjOf5gwcPYhprA1wul9frFYlEDMMgmsTExPwpYGxs7MqVKyKRaPbs2ZjG2gCXy+X1ekUiEcMwiDILFy7cvXu3z+e7fPnyjBkzhEIhprE2wOVtPek9AAACnUlEQVRyeb1ekUjEMAyiBgsSPlwAyC8lFApBbo9QKER04wNwG4RCIcjtEQqFiG6JAbgNQqEQ0U0gEMyePRu3QSgUIvqwIIQQQgghYcWCEEIIIYSEFQtCCCGEEBJWLAghhBBCSFixIIQQQgghYcWCEEIIIYSEFQtCCCGEEBJWLAghhBBCSFixIIQQQgghYcWCEEIIIYSEFQtCCCGEEBJWLAghhBBCSFixIIQQQgghYcWCEEIIIYSEFQtCCCGEEBJWLAghhBBCSFixIIQQQgghYcWCEEJIiM7Ozv7+/tjY2Mcff/zq1atvv/32559/fu+995pMJhBCyO1hQQghJMS5c+eee+657OzsRx555Pe//73FYgGg1WpBCCG3jQUhhJAQk5OTAK5cufLMM89YLBae5++999758+eDEEJuGwtCCCFTDA0N2Wy2zZs3V1RUpKSkMAwDQgi5bSwIIYRM8dNPPz311FM7duwAIYT891gQQgi5ldLSUhBCyC/CghBCyBTx8fFyuRyEEPKLsCCEEDJFfAAIIeQXYUEIIeRWGIYBIYT8IiwIIYQQQkhYsSCEEEIIIWHFghBCCCGEhBULQgghhBASViwIIYQQQkhYsSCEEDIFwzAghJBfigUhhJAQUqm0trYWQExMDAgh5BdhQQghJER+AAgh5A6wIIQQQgghYcWCEEIIIYSEFQtCCCGEEBJWLAghhBBCSFixIIQQQgghYcWCEEIIIYSEFQtCCCGEEBJWLAghhBBCSFixIIQQQgghYcWCEEIIIYSEFQtCCCGEEBJWLAghhBBCSFixIIQQQgghYcWCEEIIIYSEFQtCCCGEEBJWLAghhBBCSFixIIQQQgghYcWCEEIIIYSEFQtCCCGEEBJWLAghhBBCSFj9Pz9mqUwxkjhwAAAAAElFTkSuQmCC",
"text/html": [
"
"
]
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"fig = Figure(size=(800, 600))\n",
"ax = Axis(fig[1, 1]; xlabel=\"r\", ylabel=L\"\\Phi\")\n",
"lines!(ax, F)\n",
"vlines!(ax, [Ra, Ra+Rr, Ra+Rr+2*Rc, Ra+Rr+2*Rc+Rr], color=:black, linestyle=:dash)\n",
"fig"
]
},
{
"cell_type": "markdown",
"id": "757c12dd-0192-4fbb-bab3-a60257be9e29",
"metadata": {},
"source": [
"Możemy sprawdzić też jak wyglądają kolejne przybliżenia, rysując strumień w pętli dla kolejnych przybliżeń."
]
},
{
"cell_type": "code",
"execution_count": 14,
"id": "0406e9b2-d1ad-4d26-babc-b97bcb39df03",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"i = 1, ϵ = 1.490e-01\n",
"i = 2, ϵ = 2.737e-02\n",
"i = 3, ϵ = 9.871e-03\n",
"i = 4, ϵ = 4.155e-03\n",
"i = 5, ϵ = 1.852e-03\n",
"i = 6, ϵ = 8.446e-04\n",
"i = 7, ϵ = 3.890e-04\n",
"i = 8, ϵ = 1.799e-04\n",
"i = 9, ϵ = 8.340e-05\n",
"i = 10, ϵ = 3.869e-05\n",
"i = 11, ϵ = 1.796e-05\n",
"i = 12, ϵ = 8.335e-06\n",
"i = 13, ϵ = 3.869e-06\n",
"i = 14, ϵ = 1.796e-06\n",
"i = 15, ϵ = 8.338e-07\n"
]
},
{
"data": {
"image/png": "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",
"text/html": [
"
"
]
},
"execution_count": 14,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"F = zeros(N)\n",
"for i in 1:N\n",
" if reactor[i].νΣf > 0.0\n",
" F[i] = 1.0\n",
" end\n",
"end\n",
"\n",
"λ = 1.0\n",
"S = 1 / λ .* [reactor[i].νΣf for i in 1:N] .* F\n",
"ϵ = 1.0\n",
"ϵlim = 1.0e-6\n",
"i = 1\n",
"Sf = [reactor[i].νΣf for i in 1:N]\n",
"\n",
"fig = Figure(size=(800, 600))\n",
"ax = Axis(fig[1, 1]; xlabel=\"r\", ylabel=L\"\\Phi\")\n",
"vlines!(ax, [Ra, Ra+Rr, Ra+Rr+2*Rc, Ra+Rr+2*Rc+Rr], color=:black, linestyle=:dash)\n",
"\n",
"while ϵ > ϵlim\n",
" lines!(ax, F)\n",
" Fn = A \\ S\n",
" λₙ = sum(Sf .* Fn) / sum(Sf .* F) * λ\n",
" Sn = 1 / λₙ .* Sf .* Fn\n",
" ϵ = abs(λₙ - λ) / λ\n",
" F = copy(Fn)\n",
" S = copy(Sn)\n",
" λ = λₙ\n",
" @printf(\"i = %d, ϵ = %.3e\\n\", i, ϵ)\n",
" i += 1\n",
"\n",
"end\n",
"lines!(ax, F)\n",
"fig"
]
},
{
"cell_type": "markdown",
"id": "0f2311a8-2e37-4bd5-9eb6-259eecc160a2",
"metadata": {},
"source": [
"Wreszcie naszą metodę można zebrać do funkcji, która będzie uniwersalna dla problemów 1D."
]
},
{
"cell_type": "code",
"execution_count": 15,
"id": "99263940-b907-4470-99d8-b5b9c94a61c8",
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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",
"text/html": [
"
"
]
},
"execution_count": 15,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"function solve1d(reactor; ϵlim=1e-6)\n",
" N = length(reactor)\n",
" F = zeros(N)\n",
" for i in 1:N\n",
" if reactor[i].νΣf > 0.0\n",
" F[i] = 1.0\n",
" end\n",
" end\n",
"\n",
" λ = 1.0\n",
" S = 1 / λ .* [reactor[i].νΣf for i in 1:N] .* F\n",
" ϵ = 1.0\n",
" Sf = [reactor[i].νΣf for i in 1:N]\n",
"\n",
" while ϵ > ϵlim\n",
" Fn = A \\ S\n",
" λn = sum(Sf .* Fn) / sum(Sf .* F) * λ\n",
" Sn = 1 / λn .* Sf .* Fn\n",
" ϵ = abs(λn - λ) / λ\n",
" F = copy(Fn)\n",
" S = copy(Sn)\n",
" λ = λn\n",
" end\n",
" F\n",
"end\n",
"\n",
"F = solve1d(reactor)\n",
"lines(F)"
]
},
{
"cell_type": "markdown",
"id": "538f5978-b034-49d2-8e44-74275061f4d3",
"metadata": {},
"source": [
"## Reaktor 2D"
]
},
{
"cell_type": "markdown",
"id": "9ba463e9-5632-4649-baec-05a7d26aec44",
"metadata": {},
"source": [
"W przypadku reaktora dwuwymiarowego nasze komórki ustawiamy w wektorze jednowymiarowym (odpowiednio definiując indeks), \n",
"tak aby macierz A nadal była dwuwymiarowa - z tym, że jej wymiar będzie teraz $N^2 \\times N^2$. Najwygodniej będzie stworzyć funkcję obliczającą taki indeks z danych położenia komórki $(i, j)$.\n",
"\n",
"Będziemy musimy zmodyfikować macierz opisującą problem - pojawią się wyrazy dające sprzężenia z sąsiadami \"z góry\" i \"z dołu\", oprócz prawego i lewego, których mieliśmy w zagadnieniu 1D.\n",
"\n",
"Uwaga - Julia stosuje porządek macierzy kolumnowy i nasze indeksowanie ustawimy zgodnie z tą logiką. Podobnie, iteracja po pętlach powinna najpierw używać indeksu kolumny, a potem wiersza. W językach jak C czy Python, stosowany jest porządek wierszowy."
]
},
{
"cell_type": "code",
"execution_count": 16,
"id": "95035886-b24d-4d4c-8ce5-723c529d0afa",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"3×3 reshape(::UnitRange{Int64}, 3, 3) with eltype Int64:\n",
" 1 4 7\n",
" 2 5 8\n",
" 3 6 9"
]
},
"execution_count": 16,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"reshape(1:9, 3, 3)"
]
},
{
"cell_type": "markdown",
"id": "8551d05e-db43-44c3-a71e-07c615f85137",
"metadata": {},
"source": [
"Pierwszy indeks to rząd, drugi kolumna, a zatem funkcja zwracająca indeks będzie miała postać następującą (pod spodem test naszego indeksowania)"
]
},
{
"cell_type": "code",
"execution_count": 17,
"id": "da4da26e-a2d7-4bad-b81b-5947faaeaf22",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"(1,1)->1 (1,2)->4 (1,3)->7 \n",
"(2,1)->2 (2,2)->5 (2,3)->8 \n",
"(3,1)->3 (3,2)->6 (3,3)->9 \n",
"\n"
]
}
],
"source": [
"function k_index(i, j, N)\n",
" i + (j - 1) * N\n",
"end\n",
"\n",
"for i in 1:3\n",
" for j in 1:3\n",
" @printf(\"(%d,%d)->%d \", i, j, k_index(i, j, 3))\n",
" end\n",
" println()\n",
"end\n",
"println()"
]
},
{
"cell_type": "markdown",
"id": "1f0ee98b-a98e-473c-90a2-8d561ee2e163",
"metadata": {},
"source": [
"Zaczniemy od stworzenia reaktora. Ponownie spróbujemy rozwiązać problem z reflektorem, tym razem jednak reaktor będzie miał przekrój kołowy."
]
},
{
"cell_type": "code",
"execution_count": 18,
"id": "e4bec0c4-93f5-490f-bdbd-fe4bf828288f",
"metadata": {},
"outputs": [],
"source": [
"Ra = 2\n",
"Rr = 5\n",
"Rc = 25\n",
"N = 2 * (Ra + Rr + Rc + 1)\n",
"\n",
"reactor2 = Array{Material, 2}(undef, N, N)\n",
"for j in 1:N, i in 1:N\n",
" r = sqrt((i - N/2)^2 + (j - N/2)^2)\n",
" if r > Rr + Rc\n",
" reactor2[i, j] = void\n",
" elseif Rr + Rc >= r > Rc\n",
" reactor2[i, j] = moderator\n",
" else \n",
" reactor2[i, j] = core\n",
" end\n",
"end"
]
},
{
"cell_type": "markdown",
"id": "e5877b42-61ad-46de-9d61-d07139c115c4",
"metadata": {},
"source": [
"Znowu sprawdzimy jak wygląda nasz reaktor patrząc na $\\Sigma_a$"
]
},
{
"cell_type": "code",
"execution_count": 19,
"id": "c6453403-0d29-44c1-996c-835cf403719c",
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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",
"text/html": [
"
"
]
},
"execution_count": 19,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"fig = Figure(size=(800, 600))\n",
"Sa = zeros(N, N)\n",
"for j in 1:N, i in 1:N\n",
" Sa[i, j] = reactor2[i, j].Σa\n",
"end\n",
"ax = Axis(fig[1, 1]; xlabel=\"x\", ylabel=\"y\")\n",
"hm = heatmap!(ax, Sa, colormap=:lighttest)\n",
"Colorbar(fig[1, 2], hm)\n",
"fig"
]
},
{
"cell_type": "markdown",
"id": "25c4eeee-b328-4f8a-9c5d-a4bd72eee1a4",
"metadata": {},
"source": [
"Rozwiązywanie znowu zaczniemy od wstępnego rozwiązania, które jak poprzednio będzie zawierać jedynki dla obszaru rdzenia i zera dla pozostałych"
]
},
{
"cell_type": "code",
"execution_count": 20,
"id": "9a36599f-6c47-4a49-af04-0b517d1d7305",
"metadata": {},
"outputs": [],
"source": [
"F = zeros(N, N)\n",
"for j in 1:N, i in 1:N\n",
" if reactor2[i, j].νΣf > 0\n",
" F[i, j] = 1.0\n",
" end\n",
"end"
]
},
{
"cell_type": "markdown",
"id": "1f1245f1-3576-4500-90c0-a1810f795bb2",
"metadata": {},
"source": [
"Tworzymy teraz macierz A, która będzie definiować sprzężenia między komórkami. Ponieważ komórek jest $N^2$, a macierz musi podawać współczynniki dla dowolnej pary, będzie miała rozmiar $N^2\\times N^2$. \n",
"\n",
"Wypełniamy ją wartościami zgodnie ze schematem dla problemów 2D. Dla każdej komórki $k$ liczymy indeks sąsiadów góra/dół/lewo/prawo - odpowiednio $k_u, k_d, k_l, k_r$. Tak jak poprzednio musimy zadbać o przypadki bez danych sąsiadów."
]
},
{
"cell_type": "code",
"execution_count": 21,
"id": "db10999a-91f0-4d15-a691-972c1d62c267",
"metadata": {},
"outputs": [],
"source": [
"A = zeros(N^2, N^2)\n",
"for j in 1:N, i in 1:N\n",
" k = k_index(i, j, N)\n",
" ku = k_index(i - 1, j, N)\n",
" kd = k_index(i + 1, j, N)\n",
" kl = k_index(i, j - 1, N)\n",
" kr = k_index(i, j + 1, N)\n",
" A[k, k] = reactor2[k].Σa + 2 * reactor2[k].D / d^2\n",
" if j > 1\n",
" A[k, kl] -= (reactor2[k].D + reactor2[kl].D) / (2 * d^2)\n",
" A[k, k] += reactor2[kl].D / (2 * d^2)\n",
" end\n",
" if j < N\n",
" A[k, kr] -= (reactor2[k].D + reactor2[kr].D) / (2 * d^2)\n",
" A[k, k] += reactor2[kr].D / (2 * d^2)\n",
" end\n",
" if i > 1\n",
" A[k, ku] -= (reactor2[k].D + reactor2[ku].D) / (2 * d^2)\n",
" A[k, k] += reactor2[ku].D / (2 * d^2)\n",
" end\n",
" if i < N\n",
" A[k, kd] -= (reactor2[k].D + reactor2[kd].D) / (2 * d^2)\n",
" A[k, k] += reactor2[kd].D / (2 * d^2)\n",
" end\n",
"end\n"
]
},
{
"cell_type": "markdown",
"id": "c3f7cc06-af21-4995-b96d-35ee50088754",
"metadata": {},
"source": [
"Sprawdzamy postać macierzy A, ponieważ jest ona dość duża i w większości pusta, po prawiej stronie\n",
"powiększenie obszaru 1-100."
]
},
{
"cell_type": "code",
"execution_count": 22,
"id": "42b81699-174d-4894-a437-1d3276833022",
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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",
"text/html": [
"
"
]
},
"execution_count": 22,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"fig = Figure(size=(1200, 600))\n",
"ax = Axis(fig[1, 1]; xlabel=\"i\", ylabel=\"j\")\n",
"hm = heatmap!(ax, A, colormap=:delta, colorrange=(-10, 10))\n",
"Colorbar(fig[1, 2], hm)\n",
"\n",
"ax2 = Axis(fig[1, 3]; xlabel=\"i\", ylabel=\"j\")\n",
"heatmap!(ax2, A[1:100, 1:100], colormap=:delta, colorrange=(-10, 10))\n",
"fig"
]
},
{
"cell_type": "markdown",
"id": "6b39c455-e19f-479d-a191-5df74672cbb9",
"metadata": {},
"source": [
"Z ciekawości możemy sprawdzić jaki algorytm będzie zastosowany do tej macierzy, która ma teraz 5 diagonalii."
]
},
{
"cell_type": "code",
"execution_count": 23,
"id": "574422ca-1797-4a8e-af7a-90a5b05830a7",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Cholesky{Float64, Matrix{Float64}}\n",
"U factor:\n",
"4356×4356 UpperTriangular{Float64, Matrix{Float64}}:\n",
" 1732.05 -577.35 0.0 0.0 … 0.0 0.0 0.0\n",
" ⋅ 1779.51 -561.951 0.0 0.0 0.0 0.0\n",
" ⋅ ⋅ 1784.44 -560.401 0.0 0.0 0.0\n",
" ⋅ ⋅ ⋅ 1784.92 0.0 0.0 0.0\n",
" ⋅ ⋅ ⋅ ⋅ 0.0 0.0 0.0\n",
" ⋅ ⋅ ⋅ ⋅ … 0.0 0.0 0.0\n",
" ⋅ ⋅ ⋅ ⋅ 0.0 0.0 0.0\n",
" ⋅ ⋅ ⋅ ⋅ 0.0 0.0 0.0\n",
" ⋅ ⋅ ⋅ ⋅ 0.0 0.0 0.0\n",
" ⋅ ⋅ ⋅ ⋅ 0.0 0.0 0.0\n",
" ⋅ ⋅ ⋅ ⋅ … 0.0 0.0 0.0\n",
" ⋅ ⋅ ⋅ ⋅ 0.0 0.0 0.0\n",
" ⋅ ⋅ ⋅ ⋅ 0.0 0.0 0.0\n",
" ⋮ ⋱ ⋮\n",
" ⋅ ⋅ ⋅ ⋅ -3.23873 -2.26396 -1.44681\n",
" ⋅ ⋅ ⋅ ⋅ … -4.09713 -2.82501 -1.79104\n",
" ⋅ ⋅ ⋅ ⋅ -5.33802 -3.61318 -2.26642\n",
" ⋅ ⋅ ⋅ ⋅ -7.22591 -4.76892 -2.94841\n",
" ⋅ ⋅ ⋅ ⋅ -10.2819 -6.55073 -3.9699\n",
" ⋅ ⋅ ⋅ ⋅ -15.6309 -9.47149 -5.57999\n",
" ⋅ ⋅ ⋅ ⋅ … -25.9738 -14.6453 -8.28248\n",
" ⋅ ⋅ ⋅ ⋅ -48.5956 -24.7599 -13.1923\n",
" ⋅ ⋅ ⋅ ⋅ -724.828 -47.0885 -23.0452\n",
" ⋅ ⋅ ⋅ ⋅ 1616.14 -722.493 -45.3476\n",
" ⋅ ⋅ ⋅ ⋅ ⋅ 1617.67 -721.339\n",
" ⋅ ⋅ ⋅ ⋅ … ⋅ ⋅ 1451.96"
]
},
"execution_count": 23,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"factorize(A)"
]
},
{
"cell_type": "markdown",
"id": "ab8f1d64-5ebb-4fd2-8ec5-d608d4b31f81",
"metadata": {},
"source": [
"Algorytm wybrał rozkład Choleskiego ($A = LL^T$), który jest możliwy dla macierzy symetrycznej i dodatnio określonej. Jest on około dwa razy bardziej wydajny niż jeszcze ogólniejszy przypadek rozkładu LU."
]
},
{
"cell_type": "markdown",
"id": "72803c05-b35c-458e-8c8a-ab0dd0ddc39f",
"metadata": {},
"source": [
"Jeżeli nasz początkowy strumień zamienimy na jednowymiarowy wektor, to zasadniczo pozostała część rozwiązania numerycznego powinna działać tak samo - definicja zagadnienia kryje się w macierzy A."
]
},
{
"cell_type": "code",
"execution_count": 24,
"id": "f8289198-b2fb-4030-b689-260d8b6297f4",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"7.729e-07\n"
]
}
],
"source": [
"F = reshape(F, N^2)\n",
"\n",
"Sf = [reactor2[i].νΣf for i in eachindex(reactor2)]\n",
"λ = 1.0\n",
"S = 1 / λ .* Sf .* F\n",
"ϵ = 1.0\n",
"\n",
"while ϵ > ϵlim\n",
" Fn = A \\ S\n",
" λn = sum(Sf .* Fn) / sum(Sf .* F) * λ\n",
" Sn = 1 / λn .* Sf .* Fn\n",
" ϵ = abs(λn - λ) / λ\n",
" F = copy(Fn)\n",
" S = copy(Sn)\n",
" λ = λn\n",
"end\n",
"@printf(\"%.3e\\n\", ϵ)"
]
},
{
"cell_type": "markdown",
"id": "669cc883-257d-4f2d-8179-531aee722027",
"metadata": {},
"source": [
"Jeżeli chcemy narysować mapę strumienia wystarczy po rozwiązaniu wrócić do postaci $N\\times N$. Warto zwrócić uwagę, że reinterpretacja macierzy do innego kształtu zasadniczo nic nie kosztuje - elementy macierzy są i tak ułożone w pamięci w sposób liniowy."
]
},
{
"cell_type": "code",
"execution_count": 25,
"id": "50680556-4a64-4c5b-8856-970a83997edc",
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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",
"text/html": [
"
"
]
},
"execution_count": 25,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"F = reshape(F, N, N)\n",
"fig = Figure(size=(800, 600))\n",
"ax = Axis(fig[1, 1]; xlabel=\"x\", ylabel=\"y\")\n",
"hm = heatmap!(ax, F, colormap=:YlGn)\n",
"Colorbar(fig[1, 2], hm)\n",
"fig"
]
},
{
"cell_type": "markdown",
"id": "11ee43e7-7fee-4b6b-a4ac-fb4891e18802",
"metadata": {},
"source": [
"Aby lepiej zrozumieć kształt rozwiązania, narysujemy przekroje wzdłuż wybranych osi X $(0, R_c/2, Rc)$. "
]
},
{
"cell_type": "code",
"execution_count": 26,
"id": "cad96a60-b828-4116-9b7f-6fdd2ced8391",
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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",
"text/html": [
"
"
]
},
"execution_count": 26,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"x0 = round(Int, N/2)\n",
"fig = Figure(size=(800, 600))\n",
"ax = Axis(fig[1, 1]; xlabel=\"y\", ylabel=L\"\\Phi\")\n",
"lines!(ax, F[x0, :], label=L\"0\")\n",
"lines!(ax, F[x0-round(Int, Rc/2), :], label=L\"R_c / 2\")\n",
"lines!(ax, F[x0-Rc, :], label=L\"R_c\")\n",
"axislegend(ax)\n",
"\n",
"fig"
]
},
{
"cell_type": "markdown",
"id": "b812db9b-b5d8-4939-812f-00ae416baf93",
"metadata": {},
"source": [
"Jak poprzednio naszą metodę możemy zebrać do jednej funkcji."
]
},
{
"cell_type": "code",
"execution_count": 27,
"id": "60d631b3-366d-4343-b169-d830b801db0c",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"solve2d (generic function with 1 method)"
]
},
"execution_count": 27,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"function solve2d(reactor2; ϵlim=1.0e-6)\n",
" N = size(reactor2)[1]\n",
" F = zeros(N, N)\n",
" for j in 1:N, i in 1:N\n",
" if reactor2[i, j].νΣf > 0\n",
" F[i, j] = 1.0\n",
" end\n",
" end\n",
" \n",
" A = zeros(N^2, N^2)\n",
" for j in 1:N, i in 1:N\n",
" k = k_index(i, j, N)\n",
" ku = k_index(i - 1, j, N)\n",
" kd = k_index(i + 1, j, N)\n",
" kl = k_index(i, j - 1, N)\n",
" kr = k_index(i, j + 1, N)\n",
" A[k, k] = reactor2[k].Σa + 2 * reactor2[k].D / d^2\n",
" if j > 1\n",
" A[k, kl] -= (reactor2[k].D + reactor2[kl].D) / (2 * d^2)\n",
" A[k, k] += reactor2[kl].D / (2 * d^2)\n",
" end\n",
" if j < N\n",
" A[k, kr] -= (reactor2[k].D + reactor2[kr].D) / (2 * d^2)\n",
" A[k, k] += reactor2[kr].D / (2 * d^2)\n",
" end\n",
" if i > 1\n",
" A[k, ku] -= (reactor2[k].D + reactor2[ku].D) / (2 * d^2)\n",
" A[k, k] += reactor2[ku].D / (2 * d^2)\n",
" end\n",
" if i < N\n",
" A[k, kd] -= (reactor2[k].D + reactor2[kd].D) / (2 * d^2)\n",
" A[k, k] += reactor2[kd].D / (2 * d^2)\n",
" end\n",
" end\n",
" \n",
" F = reshape(F, N^2)\n",
" Sf = [reactor2[i].νΣf for i in eachindex(reactor2)]\n",
" λ = 1.0\n",
" S = 1 / λ .* Sf .* F\n",
" ϵ = 1.0\n",
"\n",
" while ϵ > ϵlim\n",
" Fn = A \\ S\n",
" λn = sum(Sf .* Fn) / sum(Sf .* F) * λ\n",
" Sn = 1 / λn .* Sf .* Fn\n",
" ϵ = abs(λn - λ) / λ\n",
" F = copy(Fn)\n",
" S = copy(Sn)\n",
" λ = λn\n",
" end\n",
" reshape(F, N, N)\n",
"end"
]
},
{
"cell_type": "markdown",
"id": "7721198d-2fe9-4e6b-813c-1a106a7a215c",
"metadata": {},
"source": [
"Sprawdźmy teraz jak wygląda rozwiązanie dla reaktora bez reflektora (powiększamy Ra kosztem Rr, aby zachować ten sam rozmiar)"
]
},
{
"cell_type": "code",
"execution_count": 28,
"id": "15dd1b5f-946b-42be-9387-01d9e6d1b93f",
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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",
"text/html": [
"
"
]
},
"execution_count": 28,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"Ra = 7\n",
"Rr = 0\n",
"Rc = 25\n",
"N = 2 * (Ra + Rr + Rc + 1)\n",
"\n",
"reactor2b = Array{Material, 2}(undef, N, N)\n",
"for j in 1:N, i in 1:N\n",
" r = sqrt((i - N/2)^2 + (j - N/2)^2)\n",
" if r > Rr + Rc\n",
" reactor2b[i, j] = void\n",
" elseif Rr + Rc >= r > Rc\n",
" reactor2b[i, j] = moderator\n",
" else \n",
" reactor2b[i, j] = core\n",
" end\n",
"end\n",
"\n",
"fig = Figure(size=(800, 600))\n",
"Sa = zeros(N, N)\n",
"for j in 1:N, i in 1:N\n",
" Sa[i, j] = reactor2b[i, j].Σa\n",
"end\n",
"ax = Axis(fig[1, 1]; xlabel=\"x\", ylabel=\"y\")\n",
"hm = heatmap!(ax, Sa, colormap=:lighttest)\n",
"Colorbar(fig[1, 2], hm)\n",
"fig"
]
},
{
"cell_type": "code",
"execution_count": 29,
"id": "ce85eddb-7fb0-4f36-9701-105a73fa1906",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"66×66 Matrix{Float64}:\n",
" 1.08021e-7 1.62032e-7 2.16041e-7 … 2.09362e-7 1.57015e-7 1.04674e-7\n",
" 1.62032e-7 2.4305e-7 3.24068e-7 3.1404e-7 2.35518e-7 1.57006e-7\n",
" 2.16041e-7 3.24068e-7 4.32101e-7 4.18711e-7 3.14011e-7 2.0933e-7\n",
" 2.70043e-7 4.05079e-7 5.40134e-7 5.23363e-7 3.92484e-7 2.61638e-7\n",
" 3.2403e-7 4.86073e-7 6.48153e-7 6.27981e-7 4.70922e-7 3.1392e-7\n",
" 3.77988e-7 5.6703e-7 7.56137e-7 … 7.32536e-7 5.49304e-7 3.66161e-7\n",
" 4.31898e-7 6.47922e-7 8.64049e-7 8.3699e-7 6.27599e-7 4.18337e-7\n",
" 4.85734e-7 7.28712e-7 9.71844e-7 9.41293e-7 7.05764e-7 4.70421e-7\n",
" 5.39458e-7 8.09346e-7 1.07946e-6 1.04537e-6 7.83743e-7 5.22373e-7\n",
" 5.93023e-7 8.89757e-7 1.18681e-6 1.14914e-6 8.61461e-7 5.7414e-7\n",
" 6.46365e-7 9.69854e-7 1.29378e-6 … 1.25247e-6 9.38823e-7 6.25658e-7\n",
" 6.994e-7 1.04952e-6 1.40023e-6 1.35521e-6 1.0157e-6 6.76838e-7\n",
" 7.52019e-7 1.12859e-6 1.50596e-6 1.45716e-6 1.09194e-6 7.27571e-7\n",
" ⋮ ⋱ ⋮\n",
" 6.78713e-7 1.01839e-6 1.35851e-6 1.31596e-6 9.86425e-7 6.57386e-7\n",
" 6.2706e-7 9.40824e-7 1.25492e-6 … 1.21584e-6 9.11472e-7 6.07476e-7\n",
" 5.75174e-7 8.6293e-7 1.15092e-6 1.11527e-6 8.3615e-7 5.57306e-7\n",
" 5.2312e-7 7.84799e-7 1.04664e-6 1.01436e-6 7.60556e-7 5.06945e-7\n",
" 4.70947e-7 7.06501e-7 9.42165e-7 9.13224e-7 6.84767e-7 4.56446e-7\n",
" 4.18694e-7 6.28092e-7 8.37558e-7 8.11922e-7 6.0884e-7 4.05849e-7\n",
" 3.6639e-7 5.49614e-7 7.32875e-7 … 7.10516e-7 5.32822e-7 3.55187e-7\n",
" 3.14057e-7 4.71099e-7 6.28156e-7 6.09046e-7 4.56747e-7 3.04481e-7\n",
" 2.61711e-7 3.9257e-7 5.23429e-7 5.07544e-7 3.80639e-7 2.5375e-7\n",
" 2.09362e-7 3.1404e-7 4.18711e-7 4.06029e-7 3.04515e-7 2.03006e-7\n",
" 1.57015e-7 2.35518e-7 3.14011e-7 3.04515e-7 2.28385e-7 1.52256e-7\n",
" 1.04674e-7 1.57006e-7 2.0933e-7 … 2.03006e-7 1.52256e-7 1.01504e-7"
]
},
"execution_count": 29,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"F1 = solve2d(reactor2)\n",
"F2 = solve2d(reactor2b)"
]
},
{
"cell_type": "code",
"execution_count": 30,
"id": "cd28c950-8732-43cd-a5eb-8da9fb69034e",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"4.602e+01 4.673e+01\n"
]
},
{
"data": {
"image/png": "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",
"text/html": [
"
"
]
},
"execution_count": 30,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"\n",
"x0 = round(Int, N/2)\n",
"fig = Figure(size=(800, 600))\n",
"ax = Axis(fig[1, 1]; xlabel=\"y\", ylabel=L\"\\Phi\")\n",
"lines!(ax, F1[x0, :], label=\"refl.\", color=:blue)\n",
"lines!(ax, F2[x0, :], label=\"bare\", color=:red)\n",
"vlines!(ax, [x0-Rc, x0+Rc], color=:gray, linestyle=:dash)\n",
"axislegend(ax)\n",
"\n",
"@printf(\"%.3e %.3e\\n\", sum(F1[x0, x0-Rc:x0+Rc]), sum(F2[x0, x0-Rc:x0+Rc]))\n",
"\n",
"fig"
]
},
{
"cell_type": "markdown",
"id": "91c132fa-6220-42e0-b79b-f017854f4c1a",
"metadata": {},
"source": [
"Nasz model reaktora możemy teraz oczywiście dowolnie komplikować (w ramach możliwości obliczeniowych komputera - algorytmy odwracania macierzy mają złożoność $N^2$), wprowadzać różne materiały np. rdzeń o większym i mniejszym wzbogaceniu, pręty kontrolne, siatkę paliwo/moderator itd."
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Julia 1.11.4",
"language": "julia",
"name": "julia-1.11"
},
"language_info": {
"file_extension": ".jl",
"mimetype": "application/julia",
"name": "julia",
"version": "1.11.5"
}
},
"nbformat": 4,
"nbformat_minor": 5
}