diff --git a/Strings/PermuteString.java b/Strings/PermuteString.java new file mode 100644 index 000000000..290234471 --- /dev/null +++ b/Strings/PermuteString.java @@ -0,0 +1,50 @@ +/* +Backtracking algorithm used in the program:- + +>>Fix a character in the first position and swap the rest of the character with the first character. + Like in ABC, in the first iteration three strings are formed: ABC, BAC, and CBA by swapping A with + A, B and C respectively. +>>Repeat step 1 for the rest of the characters like fixing second character B and so on. +>>Now swap again to go back to the previous position. E.g., from ABC, we formed ABC by fixing B again, + and we backtrack to the previous position and swap B with C. So, now we got ABC and ACB. +>>Repeat these steps for BAC and CBA, to get all the permutations. +*/ +public class PermuteString { + //Function for swapping the characters at position I with character at position j + public static String swapString(String a, int i, int j) { + char[] b =a.toCharArray(); + char ch; + ch = b[i]; + b[i] = b[j]; + b[j] = ch; + return String.valueOf(b); + } + + public static void main(String[] args) + { + String str = "ABC"; + int len = str.length(); + System.out.println("All the permutations of the string are: "); + generatePermutation(str, 0, len); + } + + //Function for generating different permutations of the string + public static void generatePermutation(String str, int start, int end) + { + //Prints the permutations + if (start == end-1) + System.out.println(str); + else + { + for (int i = start; i < end; i++) + { + //Swapping the string by fixing a character + str = swapString(str,start,i); + //Recursively calling function generatePermutation() for rest of the characters + generatePermutation(str,start+1,end); + //Backtracking and swapping the characters again. + str = swapString(str,start,i); + } + } + } +} \ No newline at end of file