Create Edit Distance

DynamicProgramming/Edit Distance

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+/*
+Given two strings A and B, find the minimum number of steps required to convert A to B. (each operation is counted as 1 step.)
+
+You have the following 3 operations permitted on a word:
+
+Insert a character
+Delete a character
+Replace a character
+
+
+Input Format:
+
+The first argument of input contains a string, A.
+The second argument of input contains a string, B.
+Output Format:
+
+Return an integer, representing the minimum number of steps required.
+Constraints:
+
+1 <= length(A), length(B) <= 450
+
+
+Examples:
+
+Input 1:
+    A = "abad"
+    B = "abac"
+
+Output 1:
+    1
+
+Explanation 1:
+    Operation 1: Replace d with c.
+
+Input 2:
+    A = "Anshuman"
+    B = "Antihuman"
+
+Output 2:
+    2
+
+Explanation 2:
+    => Operation 1: Replace s with t.
+    => Operation 2: Insert i.
+
+
+https://www.interviewbit.com/problems/edit-distance/
+*/
+
+int Solution::minDistance(string A, string B) {
+    int m = A.size(), n = B.size();
+    int sol[m+1][n+1];
+    for(auto i=0;i<=m;++i){
+        for(auto j=0;j<=n;++j){
+            if( i==0 )
+                sol[i][j] = j;
+            else if( j==0 )
+                    sol[i][j] = i;
+                 else if( A[i-1]==B[j-1] )
+                         sol[i][j] = sol[i-1][j-1];
+                      else
+                        sol[i][j] = 1+min(sol[i][j-1],min(sol[i-1][j],sol[i-1][j-1]));
+        }
+    }
+    return sol[m][n];
+}