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27.EditDistance.cpp

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+/*
+ * This program takes two strings from the user and
+ * calculates Edit distance between them using
+ * Dynamic Prograrmming
+ *
+ *      Coded by: Abdurrezak Efe
+ *
+ * */
+#include <iostream>
+#include <cmath>
+using namespace std;
+
+int edit_distance(string s1, string s2, int m, int n)
+{
+
+    int d[m+1][n+1]; //our bottom up table
+
+    for (int i=0; i <= m; i++)
+    {
+        for (int j=0; j <= n; j++)
+        {
+            if (i==0)
+                d[i][j] = j;
+
+            else if (j==0)
+                d[i][j] = i;
+
+            else if (s1[i-1] == s2[j-1]) //no op needed
+                d[i][j] = d[i-1][j-1];
+
+            else
+                d[i][j] = 1 + min(min(d[i][j-1], d[i-1][j]), d[i-1][j-1]); //insert delete
+        }
+    }
+
+    return d[m][n];
+}
+
+int main()
+{
+    string s1,s2;
+
+    cin >> s1 >> s2;
+
+    cout << edit_distance(s1,s2,s1.size(),s2.size()) << endl;
+
+}