C++ Programming Code Examples
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C++ Program to Implement Radix Sort
/* C++ Program to Implement Radix Sort
This is a C++ Program to Sort the Given Data using Radix sort.
- In this algorithm sorting of data is done from least significant digit to most significant digit.
- Here we need 10 different spaces labeled 0 to 9.
- Assume we have 'n' number of inputs.
- Let 'd' be the maximum number of digit the input data has.
- The time complexity for radix sort is O(n*d).
- Radix sort solves the problem of card sorting by sorting on the least significant digit first.
- Get the maximum value from the input array which has 'd' digits.
- Starting from least significant digit, sort the data.
- Take this data as input for next significant digit.
- Run the iteration till d digit.
- Display the result.
- Exit. */
#include <iostream>
using namespace std;
// Get maximum value from array.
int getMax(int arr[], int n)
{
int max = arr[0];
for (int i = 1; i < n; i++)
if (arr[i] > max)
max = arr[i];
return max;
}
// Count sort of arr[].
void countSort(int arr[], int n, int exp)
{
// Count[i] array will be counting the number of array values having that 'i' digit at their (exp)th place.
int output[n], i, count[10] = {0};
// Count the number of times each digit occurred at (exp)th place in every input.
for (i = 0; i < n; i++)
count[(arr[i] / exp) % 10]++;
// Calculating their cumulative count.
for (i = 1; i < 10; i++)
count[i] += count[i-1];
// Inserting values according to the digit '(arr[i] / exp) % 10' fetched into count[(arr[i] / exp) % 10].
for (i = n - 1; i >= 0; i--)
{
output[count[(arr[i] / exp) % 10] - 1] = arr[i];
count[(arr[i] / exp) % 10]--;
}
// Assigning the result to the arr pointer of main().
for (i = 0; i < n; i++)
arr[i] = output[i];
}
// Sort arr[] of size n using Radix Sort.
void radixsort(int arr[], int n)
{
int exp, m;
m = getMax(arr, n);
// Calling countSort() for digit at (exp)th place in every input.
for (exp = 1; m/exp > 0; exp *= 10)
countSort(arr, n, exp);
}
int main()
{
int n, i;
cout<<"\nEnter the number of data element to be sorted: ";
cin>>n;
int arr[n];
for(i = 0; i < n; i++)
{
cout<<"Enter element "<<i+1<<": ";
cin>>arr[i];
}
radixsort(arr, n);
// Printing the sorted data.
cout<<"\nSorted Data ";
for (i = 0; i < n; i++)
cout<<"->"<<arr[i];
return 0;
}
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