rename Sorting -> sorting (#653)

sorting/NumericStringSort.cpp

@@ -0,0 +1,62 @@
+//Using general algorithms to sort a collection of strings results in alphanumeric sort.
+//If it is a numeric string, it leads to unnatural sorting
+
+//eg, an array of strings 1,10,100,2,20,200,3,30,300
+//would be sorted in that same order by using conventional sorting,
+//even though we know the correct sorting order is 1,2,3,10,20,30,100,200,300
+
+//This Programme uses a comparator to sort the array in Numerical order instead of Alphanumeric order
+
+#include <iostream>
+#include <string>
+#include <algorithm>
+using namespace std;
+
+bool NumericSort(string a, string b)
+{
+  while (a[0] == '0')
+  {
+    a.erase(a.begin());
+  }
+  while (b[0] == '0')
+  {
+    b.erase(b.begin());
+  }
+  int n = a.length();
+  int m = b.length();
+  if (n == m)
+    return a < b;
+  return n < m;
+}
+
+int main()
+{
+
+  int n;
+  cout << "Enter number of elements to be sorted Numerically\n";
+  cin >> n;
+
+  vector<string> v(n);
+  cout << "Enter the string of Numbers\n";
+  for (int i = 0; i < n; i++)
+  {
+    cin >> v[i];
+  }
+
+  sort(v.begin(), v.end());
+  cout << "Elements sorted normally \n";
+  for (int i = 0; i < n; i++)
+  {
+    cout << v[i] << " ";
+  }
+  cout << "\n";
+
+  sort(v.begin(), v.end(), NumericSort);
+  cout << "Elements sorted Numerically \n";
+  for (int i = 0; i < n; i++)
+  {
+    cout << v[i] << " ";
+  }
+
+  return 0;
+}