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Performed changes in radix_sort2.cpp
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@@ -3,22 +3,22 @@
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* @brief Algorith of [Radix sort](https://en.wikipedia.org/wiki/Radix_sort)
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* @author [Suyash Jaiswal](https://github.com/Suyashjaiswal)
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* @details
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* Sort the vector of integers using radix sort i.e. sorting digi by digit using count sort as subroutine.
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* Sort the vector of integers using radix sort i.e. sorting digit by digit using count sort as subroutine.
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* Running time of radix is O(d*(n+b)) where b is the base for representing numbers and d in the max digits in input inegers and n is number of integers.
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* consider example for n = 5, array elements = 432,234,143,332,123
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sorting digit by digit
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sorting according to
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1) 1st digit place
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=> 432,332,143,123,234
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2) 2nd digit place
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=> 123,432,332,234,143
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3) 3rd digit place
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=> 123,143,234,332,432
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using count sort at each step, which is stable.
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stable => already sorted according to previous digits.
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*sorting digit by digit
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*sorting according to
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*1) 1st digit place
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*=> 432,332,143,123,234
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*
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*2) 2nd digit place
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*=> 123,432,332,234,143
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*
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*3) 3rd digit place
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*=> 123,143,234,332,432
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*
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*using count sort at each step, which is stable.
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*stable => already sorted according to previous digits.
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*/
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@@ -48,61 +48,85 @@ namespace sort
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* @brief Constructor that initializes the vector on creation.
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* @param a vector to be sorted.
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*/
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radix(std::vector<int>& a){
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radix(const std::vector<int>& a){
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ar = a;
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n = ar.size();
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}
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int get_max(){ // returns the max element.
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/**
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* @brief Function that returns the max element.
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* @returns none
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*/
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int get_max(){
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int mx;for(int i = mx = 0;i < n;i++)mx = std::max(mx,ar[i]);
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return mx;
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}
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/**
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* @brief Function that print the elements of vector.
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* @returns none
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*/
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void show(){
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for(int i = 0;i < n;i++)std::cout<<ar[i]<<" ";std::cout<<"\n";
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}
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void radix_sort();
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void step_ith(int dig);
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};
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void radix :: step_ith(int cur_digit){ // sorting according to current digit.
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int position[10] = {0};
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for(int i = 0;i < n;i++){
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position[(ar[i]/cur_digit)%10]++; // counting frequency of 0-9 at cur_digit.
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};
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/**
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* @brief Function to sort vector according to current digit using stable sorting.
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* @returns none
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*/
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void radix :: step_ith(int cur_digit){ // sorting according to current digit.
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std::vector<int> position(10,0);
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for(int i = 0;i < n;i++){
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position[(ar[i]/cur_digit)%10]++; // counting frequency of 0-9 at cur_digit.
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}
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int cur = 0;
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for(int i = 0;i < 10;i++){
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int a = position[i];
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position[i] = cur; // assingning starting position of 0-9.
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cur += a;
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}
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std::vector<int> temp(n);
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for(int i = 0;i < n;i++){
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temp[position[(ar[i]/cur_digit)%10]] = ar[i]; // storing ar[i] in ar[i]'s cur_digit expected position of this step.
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position[(ar[i]/cur_digit)%10]++; // incrementing ar[i]'s cur_digit position by 1, as current place used by ar[i].
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}
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for(int i = 0;i < n;i++){
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ar[i] = temp[i];
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}
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}
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int cur = 0;
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for(int i = 0;i < 10;i++){
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int a = position[i];
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position[i] = cur; // assingning starting position of 0-9.
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cur += a;
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/**
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* @brief Function to sort vector digit by digit.
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* @returns none
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*/
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void radix :: radix_sort(){
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int max_ele = get_max();
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for(int i = 1;max_ele/i > 0;i *= 10){ // loop breaks when i > max_ele because no further digits left to makes changes in array.
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step_ith(i);
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}
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}
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int temp[n];
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for(int i = 0;i < n;i++){
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temp[position[(ar[i]/cur_digit)%10]] = ar[i]; // storing ar[i] in ar[i]'s cur_digit expected position of this step.
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position[(ar[i]/cur_digit)%10]++; // incrementing ar[i]'s cur_digit position by 1, as current place used by ar[i].
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}
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for(int i = 0;i < n;i++){
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ar[i] = temp[i];
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}
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}
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void radix :: radix_sort(){
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int max_ele = get_max();
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for(int i = 1;max_ele/i > 0;i *= 10){ // loop breaks when i > max_ele because no further digits left to makes changes in array.
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step_ith(i);
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}
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}
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} // namespace radix_sort
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} // namespace radix_sort
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} // namespace sort
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void test1(){
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std::vector<int> ar = {432,234,143,332,123};
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sort::radix_sort::radix obj(ar);
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obj.radix_sort();
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obj.show();
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}
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void test2(){
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std::vector<int> ar = {213,3214,123,111,112,142,133,132,32,12,113};
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sort::radix_sort::radix obj(ar);
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obj.radix_sort();
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obj.show();
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}
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/**
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* Function to test the above algorithm
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* @returns none
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*/
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void test1(){
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std::vector<int> ar = {432,234,143,332,123};
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sort::radix_sort::radix obj(ar);
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obj.radix_sort();
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obj.show();
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}
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/**
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* Function to test the above algorithm
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* @returns none
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*/
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void test2(){
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std::vector<int> ar = {213,3214,123,111,112,142,133,132,32,12,113};
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sort::radix_sort::radix obj(ar);
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obj.radix_sort();
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obj.show();
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}
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/**
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* @brief Main function
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* @returns 0 on exit
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@@ -111,5 +135,15 @@ int main()
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{
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test1();
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test2();
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int n;
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std::cin>>n;
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std::vector<int> ar;
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for(int i = 0;i < n;i++){
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int x;std::cin>>x;
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ar.push_back(x);
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}
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sort::radix_sort::radix obj(ar);
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obj.radix_sort();
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obj.show();
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return 0;
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}
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