Merge pull request #43 from vipu18/patch-4

Implement edit distance algorithm with optimization

Author: admirerr

CPP/dynamic-programming/Edit_distance.cpp

@@ -0,0 +1,38 @@
+#include <iostream>
+#include <vector>
+#include <string>
+using namespace std;
+
+// Space Optimization version
+class Solution {
+public:
+    int editDistance(string start, string target) {
+        int n = start.size();
+        int m = target.size();
+        vector<int> prev(m + 1, 0), curr(m + 1, 0);
+        for (int j = 0; j <= m; j++) prev[j] = j;
+        for (int i = 1; i <= n; i++) {
+            curr[0] = i;
+            for (int j = 1; j <= m; j++) {
+                if (start[i - 1] == target[j - 1])
+                    curr[j] = prev[j - 1];
+                else
+                    curr[j] = 1 + min(prev[j - 1], min(curr[j - 1], prev[j]));
+            }
+            prev = curr;
+        }
+        return curr[m];
+    }
+};
+
+int main() {
+    string s1, s2;
+    cout << "Enter first string: ";
+    cin >> s1;
+    cout << "Enter second string: ";
+    cin >> s2;
+    Solution sol;
+    int result = sol.editDistance(s1, s2);
+    cout << "Edit Distance: " << result << endl;
+    return 0;
+}