Stuff
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README.md
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README.md
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## Practical information
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## Practical information
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- [Project](https://anderkve.github.io/FYS3150/book/projects/project1.html)
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- [Project](https://anderkve.github.io/FYS3150/book/projects/project1.html)
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## How to compile C++ code
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Make sure that you are inside the **src** directory before compiling the code.
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Now you can execute the command shown under to compile:
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´´´
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make
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´´´
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This will create object files and link them together into 2 executable files.
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These files are called **main** and **analyticPlot**.
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To run them, you can simply use the commands below:
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´´´
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./main
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´´´
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´´´
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./analyticPlot
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´´´
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## How to generate plots
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For generating the plots, there are 4 Python scripts.
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You can run each one of them by using this command:
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´´´
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python <PythonFile>
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´´´
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The plots will be saved inside **latex/images**.
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@ -2,11 +2,13 @@ CC=g++
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CCFLAGS= -std=c++11
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CCFLAGS= -std=c++11
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OBJS=generalAlgorithm.o specialAlgorithm.o
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OBJS=generalAlgorithm.o specialAlgorithm.o funcs.o
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EXEC=main analyticPlot
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.PHONY: clean
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.PHONY: clean
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all: main analyticPlot
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all: $(EXEC)
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main: main.o $(OBJS)
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main: main.o $(OBJS)
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$(CC) $(CCFLAGS) -o $@ $^
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$(CC) $(CCFLAGS) -o $@ $^
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@ -19,3 +21,4 @@ analyticPlot: analyticPlot.o
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clean:
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clean:
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rm *.o
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rm *.o
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rm $(EXEC)
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@ -1,19 +0,0 @@
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import numpy as np
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import matplotlib.pyplot as plt
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def main():
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FILENAME = "analytical_solution.pdf"
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x = []
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v = []
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with open('analytical_solution.txt') as f:
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for line in f:
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a, b = line.strip().split()
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x.append(float(a))
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v.append(float(b))
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plt.plot(x, v)
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plt.savefig(FILENAME)
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if __name__ == "__main__":
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main()
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80
src/main.cpp
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src/main.cpp
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#include <ios>
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#include <ios>
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#include <string>
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#include <string>
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#include "funcs.hpp"
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#include "generalAlgorithm.hpp"
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#include "generalAlgorithm.hpp"
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#include "specialAlgorithm.hpp"
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#include "specialAlgorithm.hpp"
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#define TIMING_ITERATIONS 5
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#define TIMING_ITERATIONS 5
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void error(
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std::string filename,
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arma::vec* x_vec,
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arma::vec* v_vec,
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arma::vec* a_vec
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)
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{
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std::ofstream ofile;
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ofile.open(filename);
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if (!ofile.is_open()) {
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exit(1);
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}
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for (int i=0; i < a_vec->n_elem; i++) {
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double sub = (*a_vec)(i) - (*v_vec)(i);
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ofile << std::setprecision(8) << std::scientific << (*x_vec)(i)
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<< std::setprecision(8) << std::scientific << std::log10(std::abs(sub))
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<< std::setprecision(8) << std::scientific << std::log10(std::abs(sub/(*a_vec)(i)))
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<< std::endl;
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}
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ofile.close();
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}
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double f(double x) {
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return 100*std::exp(-10*x);
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}
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void build_g_vec(int n_steps, arma::vec* g_vec) {
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g_vec->resize(n_steps-1);
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double step_size = 1./ (double) n_steps;
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for (int i=0; i < n_steps-1; i++) {
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(*g_vec)(i) = f((i+1)*step_size);
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}
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}
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void build_array(
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int n_steps,
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arma::vec* sub_diag,
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arma::vec* main_diag,
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arma::vec* sup_diag,
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arma::vec* g_vec
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)
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{
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sub_diag->resize(n_steps-2);
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main_diag->resize(n_steps-1);
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sup_diag->resize(n_steps-2);
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sub_diag->fill(-1);
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main_diag->fill(2);
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sup_diag->fill(-1);
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build_g_vec(n_steps, g_vec);
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}
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void timing() {
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void timing() {
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arma::vec sub_diag, main_diag, sup_diag, g_vec;
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arma::vec sub_diag, main_diag, sup_diag, g_vec;
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int n_steps;
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int n_steps;
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std::ofstream ofile;
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std::ofstream ofile;
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ofile.open("timing.txt");
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ofile.open("output/timing.txt");
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// Timing
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// Timing
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for (int i=1; i <= 8; i++) {
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for (int i=1; i <= 6; i++) {
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n_steps = std::pow(10, i);
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n_steps = std::pow(10, i);
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clock_t g_1, g_2, s_1, s_2;
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clock_t g_1, g_2, s_1, s_2;
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double g_res = 0, s_res = 0;
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double g_res = 0, s_res = 0;
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// Repeat a number of times to take an average
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for (int j=0; j < TIMING_ITERATIONS; j++) {
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for (int j=0; j < TIMING_ITERATIONS; j++) {
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build_array(n_steps, &sub_diag, &main_diag, &sup_diag, &g_vec);
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build_arrays(n_steps, sub_diag, main_diag, sup_diag, g_vec);
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g_1 = clock();
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g_1 = clock();
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general_algorithm(&sub_diag, &main_diag, &sup_diag, &g_vec);
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general_algorithm(sub_diag, main_diag, sup_diag, g_vec);
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g_2 = clock();
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g_2 = clock();
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g_res += (double) (g_2 - g_1) / CLOCKS_PER_SEC;
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g_res += (double) (g_2 - g_1) / CLOCKS_PER_SEC;
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build_g_vec(n_steps, &g_vec);
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// Rebuild g_vec for the special alg
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build_g_vec(n_steps, g_vec);
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s_1 = clock();
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s_1 = clock();
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special_algorithm(-1., 2., -1., &g_vec);
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special_algorithm(-1., 2., -1., g_vec);
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s_2 = clock();
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s_2 = clock();
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s_res += (double) (s_2 - s_1) / CLOCKS_PER_SEC;
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s_res += (double) (s_2 - s_1) / CLOCKS_PER_SEC;
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}
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}
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// Write the average time to file
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ofile
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ofile
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<< n_steps << ","
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<< n_steps << ","
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<< g_res / (double) TIMING_ITERATIONS << ","
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<< g_res / (double) TIMING_ITERATIONS << ","
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@ -112,13 +59,10 @@ void timing() {
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ofile.close();
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ofile.close();
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}
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}
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void error_file() {
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}
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int main()
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int main()
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{
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{
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timing();
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timing();
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general_algorithm_main();
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general_algorithm_main();
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general_algorithm_error();
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special_algorithm_main();
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special_algorithm_main();
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}
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}
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