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#include <fstream>
#include <vector>
constexpr int countsize = 256;
constexpr int bucketsize = 8;
constexpr unsigned char mask = 255;
int computeIndex(int val, int bucket)
{
return val >> (bucket * bucketsize) & mask;
}
std::vector<int> computeFrequencies(const std::vector<int>& input, int bucket)
{
std::vector<int> frequence(countsize, 0);
for (auto it = input.cbegin(); it != input.cend(); ++it)
{
auto pos = computeIndex(*it, bucket);
frequence[pos]++;
}
return frequence;
}
std::vector<int> computePositions(const std::vector<int>& frequence)
{
std::vector<int> index(countsize, 0);
int count = frequence[0];
for (int i = 1; i < countsize; ++i)
{
if (frequence[i])
{
index[i] = count;
count += frequence[i];
}
}
return index;
}
std::vector<int> moveElements(const std::vector<int>& input, std::vector<int>& index, int bucket)
{
std::vector<int> temp(input.size(), 0);
for (auto it = input.cbegin(); it != input.cend(); ++it)
{
auto pos = computeIndex(*it, bucket);
temp[index[pos]] = *it;
index[pos]++;
}
return temp;
}
void sort(std::vector<int>& input)
{
for (auto bucket = 0; bucket < 4; bucket++)
{
auto frequence = computeFrequencies(input, bucket);
auto index = computePositions(frequence);
input = moveElements(input, index, bucket);
}
}
std::vector<int> generateInput(int N, int A, int B, int C)
{
std::vector<int> input(N, 0);
input[0] = B;
for (int i = 1; i < N; i++)
{
input[i] = (1UL * A * input[i - 1] + B) % C;
}
return input;
}
int main()
{
std::ifstream f("radixsort.in");
std::ofstream g("radixsort.out");
auto N=0, A=0, B=0, C=0;
f >> N >> A >> B >> C;
auto input = generateInput(N, A, B, C);
sort(input);
for (int i = 0; i < input.size(); i += 10)
{
g << input[i] << ' ';
}
return 0;
}