Duzy commit ze smieciami

1 files changed, 0 insertions, 2042 deletions

diff --git a/Semestr 3/anm/pracownia1/prog/program.ipynb b/Semestr 3/anm/pracownia1/prog/program.ipynb
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--- a/Semestr 3/anm/pracownia1/prog/program.ipynb
+++ /dev/null
@@ -1,2042 +0,0 @@
-{
- "cells": [
-  {
-   "cell_type": "code",
-   "execution_count": 89,
-   "metadata": {},
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       "set_cordic_iterations (generic function with 1 method)"
-      ]
-     },
-     "execution_count": 89,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
-   "source": [
-    "include(\"program.jl\")"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 90,
-   "metadata": {},
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       "Plots.PlotlyBackend()"
-      ]
-     },
-     "execution_count": 90,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
-   "source": [
-    "using Plots\n",
-    "using Random\n",
-    "using Distributions\n",
-    "\n",
-    "plotly()"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 91,
-   "metadata": {},
-   "outputs": [],
-   "source": [
-    "# Zadanie 10, Franiszek malinka, Kacper Solecki\n",
-    "\n",
-    "# instrukcja:\n",
-    "# Nasz program udostępnia funkcje \n",
-    "\n",
-    "# -> taylor_sin(a, b) - sinus liczby a+bi liczony za pomocą szeregu Taylora\n",
-    "# -> taylor_cos(a, b) - cosinus liczby a+bi liczony za pomocą szeregu Taylora\n",
-    "# -> taylor_sinh(x) - sinus hiperboliczny liczby x liczony za pomocą szeregu Taylora\n",
-    "# -> taylor_cosh(x) - cosinus hiperboliczny liczby x liczony za pomocą szeregu Taylora\n",
-    "# -> cordic_sin(x) - sinus (rzeczywistej) liczby x liczony za pomocą algorytmu Cordic\n",
-    "# -> cordic_cos(x) - cosinus (rzeczywistej) liczby x liczony za pomocą algorytmu Cordic"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 92,
-   "metadata": {},
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
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-      ]
-     },
-     "execution_count": 92,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
-   "source": [
-    "# porównianie na sin(2), cos(2)\n",
-    "sin(2.0)"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 93,
-   "metadata": {},
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       "(0.9092974268256817, -0.0)"
-      ]
-     },
-     "execution_count": 93,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
-   "source": [
-    "taylor_sin(2.0, 0.0)"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 94,
-   "metadata": {},
-   "outputs": [
-    {
-     "data": {
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-      ]
-     },
-     "execution_count": 94,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
-   "source": [
-    "cordic_sin(2.0)"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 95,
-   "metadata": {},
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       "-0.4161468365471424"
-      ]
-     },
-     "execution_count": 95,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
-   "source": [
-    "cos(2)"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 96,
-   "metadata": {},
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       "(-0.41614683654714246, -0.0)"
-      ]
-     },
-     "execution_count": 96,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
-   "source": [
-    "taylor_cos(2.0, 0.0)"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 97,
-   "metadata": {},
-   "outputs": [
-    {
-     "data": {
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-     "execution_count": 97,
-     "metadata": {},
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-   ],
-   "source": [
-    "cordic_cos(2.0)"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 98,
-   "metadata": {},
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       "-5991.431207677988 - 9240.89014825243im"
-      ]
-     },
-     "execution_count": 98,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
-   "source": [
-    "# porównianie na sin(10 + 10i)\n",
-    "sin(10 + 10im)"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 99,
-   "metadata": {},
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       "(-5991.431207678, -9240.890148252452)"
-      ]
-     },
-     "execution_count": 99,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
-   "source": [
-    "taylor_sin(10, 10)"
-   ]
-  },
-  {
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-   "execution_count": 73,
-   "metadata": {},
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       "rel_error (generic function with 1 method)"
-      ]
-     },
-     "execution_count": 73,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
-   "source": [
-    "# w ten sposób liczony jest błąd względny zarówno dla liczb rzeczywistych jak i zespolonych\n",
-    "function rel_error(x, y)\n",
-    "    if x == 0\n",
-    "        return 0\n",
-    "    end\n",
-    "    return abs((x-y)/x)\n",
-    "end"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 100,
-   "metadata": {},
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       "taylor_error_of_iterations (generic function with 1 method)"
-      ]
-     },
-     "execution_count": 100,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
-   "source": [
-    "function taylor_error_of_iterations(x)\n",
-    "    set_taylor_iterations(x)\n",
-    "    return rel_error(sin(100+100im), taylor_sin(100, 100)[1] + taylor_sin(100, 100)[2]*im)\n",
-    "end"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 101,
-   "metadata": {},
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       "cordic_error_of_iterations (generic function with 1 method)"
-      ]
-     },
-     "execution_count": 101,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
-   "source": [
-    "function cordic_error_of_iterations(x)\n",
-    "    set_cordic_iterations(x)\n",
-    "    return rel_error(sin(100), cordic_sin(100.0))\n",
-    "end"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 111,
-   "metadata": {},
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       "taylor_error_of_iterations2 (generic function with 1 method)"
-      ]
-     },
-     "execution_count": 111,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
-   "source": [
-    "function taylor_error_of_iterations2(x)\n",
-    "    set_taylor_iterations(x)\n",
-    "    return rel_error(sin(100), taylor_sin(100.0, 0.0)[1])\n",
-    "end"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 112,
-   "metadata": {},
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       "1:20"
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-     },
-     "execution_count": 112,
-     "metadata": {},
-     "output_type": "execute_result"
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-   "source": [
-    "X = 1:20"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": null,
-   "metadata": {},
-   "outputs": [],
-   "source": [
-    "# Przykładowe błędy w zależności od liczby iteracji:"
-   ]
-  },
-  {
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-         "range": [
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-         "tickvals": [
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-         "title": "relative error",
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-       "    \"plot_bgcolor\": \"rgba(255, 255, 255, 1.000)\",\n",
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-       "        \"bgcolor\": \"rgba(255, 255, 255, 1.000)\",\n",
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-       ");\n",
-       "    </script>\n",
-       "\n",
-       "    </body>\n",
-       "</html>\n"
-      ]
-     },
-     "execution_count": 109,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
-   "source": [
-    "plot(cordic_error_of_iterations, X, title=\"Cordic relative error calculating sin(100)\", xguide = \"iterations\", yguide = \"relative error\")"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 106,
-   "metadata": {},
-   "outputs": [],
-   "source": [
-    "# Poniżej znajdują się funkcje testujące, na podstawie których powstała tabelka z błędami w sprawozdaniu"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 18,
-   "metadata": {},
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       "MersenneTwister(UInt32[0x00003039], Random.DSFMT.DSFMT_state(Int32[-870096391, 1072918504, -1812426662, 1073255081, -733866021, 1073404543, 807620846, 1073368448, 1919433844, 1072852359  …  -362113007, 1073100625, -166402106, 1073460158, -1907020342, 721295190, -750225566, -1300227565, 382, 0]), [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0  …  0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], UInt128[0x00000000000000000000000000000000, 0x00000000000000000000000000000000, 0x00000000000000000000000000000000, 0x00000000000000000000000000000000, 0x00000000000000000000000000000000, 0x00000000000000000000000000000000, 0x00000000000000000000000000000000, 0x00000000000000000000000000000000, 0x00000000000000000000000000000000, 0x00000000000000000000000000000000  …  0x00000000000000000000000000000000, 0x00000000000000000000000000000000, 0x00000000000000000000000000000000, 0x00000000000000000000000000000000, 0x00000000000000000000000000000000, 0x00000000000000000000000000000000, 0x00000000000000000000000000000000, 0x00000000000000000000000000000000, 0x00000000000000000000000000000000, 0x00000000000000000000000000000000], 1002, 0)"
-      ]
-     },
-     "execution_count": 18,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
-   "source": [
-    "TESTS = 100000000\n",
-    "\n",
-    "Random.seed!(12345)"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 19,
-   "metadata": {},
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       "taylor_test_error_real (generic function with 3 methods)"
-      ]
-     },
-     "execution_count": 19,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
-   "source": [
-    "function taylor_test_error_real(l::Float64=floatmin(), r::Float64=floatmax())\n",
-    "    res = BigFloat(0)\n",
-    "    abs_res = BigFloat(0)\n",
-    "    maksi_rel = BigFloat(0)\n",
-    "    maksi_abs = BigFloat(0)\n",
-    "    for i = 1:TESTS\n",
-    "        if i % 100000 == 0\n",
-    "            println(i)\n",
-    "        end\n",
-    "        x = rand(Uniform(l, r))\n",
-    "        lib_sin = sin(x)\n",
-    "        if lib_sin == 0\n",
-    "            continue\n",
-    "        end\n",
-    "        my_sin = taylor_sin(x, 0)\n",
-    "        error = rel_error(lib_sin, my_sin[1])\n",
-    "        abs_error = abs(my_sin[1] - lib_sin)\n",
-    "        res += error\n",
-    "        abs_res += abs_error\n",
-    "        maksi_rel = max(maksi_rel, error)\n",
-    "        maksi_abs = max(maksi_abs, abs_error)\n",
-    "    end\n",
-    "    return (res/TESTS, maksi_rel, abs_res/TESTS, maksi_abs)\n",
-    "end\n",
-    "\n",
-    "# (floatmin(), floatmax()):\n",
-    "# (1.887844299668514797145972383393008309519973773948872165524132116232181033410611e-15, \n",
-    "# 3.16719187748669057932019506480803006098767582443542778491973876953125e-08,\n",
-    "# 1.1794041986528804301572959036155385792454808324691839516162872314453125e-16,\n",
-    "# 8.8817841970012523233890533447265625e-16)\n",
-    "\n",
-    "# (-pi/2, pi/2):\n",
-    "# (1.471587646915289673578957365178574707202863924359834292944840261618821841693717e-15, \n",
-    "# 1.1848604479598457485905096801294400510329296594136394560337066650390625e-08, \n",
-    "# 9.765754183892570637182101557852154094518937199609354138374328613281249999999994e-17, \n",
-    "# 5.5511151231257827021181583404541015625e-16)\n",
-    "\n",
-    "# (0, 1):\n",
-    "# (8.693695902799099432701533207691913249153884601349429181102457242502623557811573e-17,\n",
-    "# 6.661260307992334044328275268948192015174572739102942797728701407322660088539124e-16,\n",
-    "# 4.293257315426284893844499634951716871000826358795166015624999999999999999999994e-17,\n",
-    "# 4.44089209850062616169452667236328125e-16)"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 20,
-   "metadata": {},
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       "taylor_test_error_complex (generic function with 3 methods)"
-      ]
-     },
-     "execution_count": 20,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
-   "source": [
-    "function taylor_test_error_complex(l::Float64=-100.0, r::Float64=100.0)\n",
-    "    res = BigFloat(0)\n",
-    "    abs_res = BigFloat(0)\n",
-    "    maksi_rel = BigFloat(0)\n",
-    "    maksi_abs = BigFloat(0)\n",
-    "    for i = 1:TESTS\n",
-    "        if i % 100000 == 0\n",
-    "            println(i)\n",
-    "        end\n",
-    "        x = rand(Uniform(l, r))\n",
-    "        y = rand(Uniform(max(l, -Float64(√(BigFloat(r)*r - BigFloat(x)*x))), \n",
-    "                        Float64(√(BigFloat(r)*r - BigFloat(x)*x))))\n",
-    "        lib_sin = sin(x + y*im)\n",
-    "        my_sin = taylor_sin(x, y)\n",
-    "        error = rel_error(lib_sin, my_sin[1] + my_sin[2]*im)\n",
-    "        abs_error = abs(lib_sin - (my_sin[1] + my_sin[2]*im))\n",
-    "        res += error\n",
-    "        abs_res += abs_error\n",
-    "        maksi_rel = max(maksi_rel, error)\n",
-    "        maksi_abs = max(maksi_abs, abs_error)\n",
-    "    end\n",
-    "    return (res/TESTS, maksi_rel, abs_res/TESTS, maksi_abs)\n",
-    "end\n",
-    "\n",
-    "# (-100, 100):\n",
-    "# (4.932205036590292360305897845543684560590114030155004375572792447173773555907229e-15, \n",
-    "# 1.3111008357751143737471652583705182364137709072338111582212150096893310546875e-13, \n",
-    "# 1.688623533003329462861070079404255492323042928202526655997186385923664654746476e+26, \n",
-    "# 5.89784569029861503624382775296e+29)\n",
-    "\n",
-    "# (-2pi, 2pi):\n",
-    "# (4.338436856498561167962902801400526155223569336855327458414068651872587652334067e-16, \n",
-    "# 1.48720543982594402760972427363260419015678071019692652043886482715606689453125e-11, \n",
-    "# 1.364745868545483273874507699553481910023596725366415789061836204439613629002538e-14, \n",
-    "# 8.7095846425677781478128738959826782468909289747216462274082005023956298828125e-13)\n",
-    "\n",
-    "# (0, 1):\n",
-    "# (1.596935223079780368874812440778376297707878344605454825588075017177200118204992e-16, \n",
-    "# 1.098997011961567777204023105931451003520679665648174250236479565501213073730469e-15, \n",
-    "# 1.124298405324025732059699593805301650508046127888472394113736655893442950571177e-16, \n",
-    "# 1.110569915127177230816030746289393434073728902933275719533412484452128410339355e-15)"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 21,
-   "metadata": {},
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       "cordic_test_error (generic function with 3 methods)"
-      ]
-     },
-     "execution_count": 21,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
-   "source": [
-    "function cordic_test_error(l::Float64=floatmin(), r::Float64=floatmax())\n",
-    "    res = BigFloat(0)\n",
-    "    abs_res = BigFloat(0)\n",
-    "    maksi_rel = BigFloat(0)\n",
-    "    maksi_abs = BigFloat(0)\n",
-    "    for i = 1:TESTS\n",
-    "        if i % 100000 == 0\n",
-    "            println(i)\n",
-    "        end\n",
-    "        x = rand(Uniform(l, r))\n",
-    "        lib_sin = sin(x)\n",
-    "        my_sin = cordic_sin(x)\n",
-    "        error = rel_error(lib_sin, my_sin)\n",
-    "        abs_error = abs(lib_sin - my_sin)\n",
-    "        res += error\n",
-    "        abs_res += abs_error\n",
-    "        if error > maksi_rel\n",
-    "            worst_rel = x\n",
-    "        end\n",
-    "        maksi_rel = max(maksi_rel, error)\n",
-    "        maksi_abs = max(maksi_abs, abs_error)\n",
-    "    end\n",
-    "    return (res/TESTS, maksi_rel, abs_res/TESTS, maksi_abs)\n",
-    "end\n",
-    "\n",
-    "# (floatmin(), floatmax()):\n",
-    "# (3.099880824631376815575307358441341907045753361742215192539218280437518515668677e-08, \n",
-    "# 0.457561153670805575988111968399607576429843902587890625, \n",
-    "# 2.459716652636021482355597144179802356154379561203882076370064169168472290039072e-09, \n",
-    "# 0.0006041780891818948617810747236944735050201416015625)\n",
-    "\n",
-    "# (-2pi, 2pi):\n",
-    "# (2.769658715752475495709394998775060901506630522496771093654899307916206208091117e-08, \n",
-    "# 0.11834204003306579566778822254491387866437435150146484375, \n",
-    "# 2.532059440779907667675144447194875727078638982803227008844260126352310180664052e-09,\n",
-    "# 0.00552917548107156875403234153054654598236083984375)\n",
-    "\n",
-    "# (0, 1):\n",
-    "# (4.176404604808155838824592152607760760141260709650975486490997166423577713345588e-08, \n",
-    "# 0.091828765031669201679420666550868190824985504150390625, \n",
-    "# 2.613683444981852927700279986835644064485650872597943816799670457839965820312493e-09, \n",
-    "# 0.00052619288922584050993691562325693666934967041015625)"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 22,
-   "metadata": {},
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       "taylor_without_reduction_test_error (generic function with 3 methods)"
-      ]
-     },
-     "execution_count": 22,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
-   "source": [
-    "function taylor_without_reduction_test_error(l::Float64=-100.0, r::Float64=100.0)\n",
-    "    res = BigFloat(0)\n",
-    "    abs_res = BigFloat(0)\n",
-    "    maksi_rel = BigFloat(0)\n",
-    "    maksi_abs = BigFloat(0)\n",
-    "    for i = 1:TESTS\n",
-    "        if i % 1000000 == 0\n",
-    "            println(i)\n",
-    "        end\n",
-    "        x = rand(Uniform(l, r))\n",
-    "        y = rand(Uniform(max(l, -Float64(√(BigFloat(r)*r - BigFloat(x)*x))), \n",
-    "                        Float64(√(BigFloat(r)*r - BigFloat(x)*x))))\n",
-    "        lib_sin = sin(x + y*im)\n",
-    "        my_sin = taylor_sin_no_reduction(x, y)\n",
-    "        error = rel_error(lib_sin, my_sin[1] + my_sin[2]*im)\n",
-    "        abs_error = abs(lib_sin - (my_sin[1] + my_sin[2]*im))\n",
-    "        res += error\n",
-    "        abs_res += abs_error\n",
-    "        maksi_rel = max(maksi_rel, error)\n",
-    "        maksi_abs = max(maksi_abs, abs_error)\n",
-    "    end\n",
-    "    return (res/TESTS, maksi_rel, abs_res/TESTS, maksi_abs)\n",
-    "end\n",
-    "\n",
-    "# (-100, 100)\n",
-    "# (4.774091809397734982069398193189465079787514988283523440828527859306283137571149e+23, \n",
-    "# 4.48814142545670189837451264e+26, \n",
-    "# 7.758560481134976967771949796127369173267383351574525337904198599731007318070319e+40, \n",
-    "# 2.20832987186165589366506156220211970162294784e+44)\n",
-    "\n",
-    "# (-2pi, 2pi)\n",
-    "# (0.6332711088634405192103194531076134843075526902544601426097735760298574150340518, \n",
-    "# 1.0, \n",
-    "# 23.44057586605533515691829807979128873527513778367553433852055381911453864572971, \n",
-    "# 267.74654227273646256435313262045383453369140625)\n",
-    "\n",
-    "# (0, 1)\n",
-    "# (1.589482169544726703219739509256918022523030217883325972454504856003547167066932e-16, \n",
-    "# 1.291897416767691567199962520855285151964115327068161054313577551511116325855255e-15, \n",
-    "# 1.118367257755837281340217148887719929595000777959128862241583039814976641146415e-16, \n",
-    "# 1.115760330918745818020084658567032229219617364690542160587938269600272178649902e-15)"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": null,
-   "metadata": {},
-   "outputs": [],
-   "source": []
-  }
- ],
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-   "file_extension": ".jl",
-   "mimetype": "application/julia",
-   "name": "julia",
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