Create bucket_sort.h

bucket_sort.h

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+//BUCKET SORT
+ // Best case performance            Ω(n+k)
+// Average case performace          θ(n+k)
+// Worst Average case performace    O(n^2)
+// Wost case space complexity       O(n)
+ //https://en.wikipedia.org/wiki/Bucket_sort
+ // The following header files are a must in order to execute the following code
+#include <iostream> 
+#include <algorithm> 
+#include <vector> 
+using namespace std; 
+
+// Function to sort arr[] of size n using bucket sort 
+template <typename T>
+void bucketSort(T arr[], int n) 
+{ 
+    // 1) Create n empty buckets 
+    vector<T> b[n]; 
+
+    // 2) Put array elements in different buckets 
+    for (int i=0; i<n; i++) 
+    { 
+       int bi = n*arr[i]; // Index in bucket 
+       b[bi].push_back(arr[i]); 
+    } 
+
+    // 3) Sort individual buckets 
+    for (int i=0; i<n; i++) 
+       sort(b[i].begin(), b[i].end()); 
+
+    // 4) Concatenate all buckets into arr[] 
+    int index = 0; 
+    for (int i = 0; i < n; i++) 
+        for (int j = 0; j < b[i].size(); j++) 
+          arr[index++] = b[i][j]; 
+
+    // 5)output result
+    for(int i=0;i<n;i++)
+      cout<<T[i];
+}