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Telephone Number

Problem

Print all valid phone numbers of length n subject to following constraints:
If a number contains a 4, it should start with 4
No two consecutive digits can be same
Three digits (e.g. 7,2,9) will be entirely disallowed, take as input

Solution

Recursive + DFS

 1 public static List<List<Integer>> generateNumber(int length, List<Integer> baned) { 2     List<List<Integer>> res = new ArrayList<List<Integer>>(); 3     List<Integer> num = new ArrayList<Integer>(); 4     HashSet<Integer> ban = new HashSet<Integer>(); 5     for(int i=0; i<baned.size(); i++) { 6         ban.add(baned.get(i)); 7     } 8      9     helper(res, num, ban, -1, length, 0);10     11     return res;12 }13 14 public static void helper(List<List<Integer>> res, List<Integer> num, HashSet<Integer> ban, int prev, int length, int pos) {15     if(pos == length) {16         res.add(new ArrayList<Integer>(num));17         return;18     }19     20     for(int i=0; i<=9; i++) {21         if(pos != 0 && i == 4) continue; 22         else if(ban.contains(i)) continue;23         else if(i == prev) continue;24         25         num.add(i);26         helper(res, num, ban, i, length, pos+1);27         num.remove(num.size()-1);28     }29 }

 

Telephone Number