Thursday, September 13, 2018

ABABAABA

  • Problem Description

    You are given a uniformly randomly generated string S, consisting of letters from the set {""A"", ""B""}. Your task is to find a string T that appears in S as a subsequence exactly twice.
    In other words, you need to find such a string T, that there exist exactly two sets of indexes i1, i2, ..., i|T| and j1, j2, ..., j|T| such that there exists some k, where ik jk and S{i1...i|T|} = S{j1...j|T|} = T.

    Input
    The first line of the input contains an integer T denoting the number of test cases. The description of T test cases follows.
    The first and only line of each test case contains a single string S.
    The string S was generated randomly. For a generating string S, we first choose an integer N denoting a length of S. After that every symbol of the string S is chosen randomly from the set {""A"", ""B""} and the both symbols have equal probability to be chosen. Note that N is not choosen randomly.

    Output
    For each test case, output a string that occurs exactly twice as a subsequence in S, or output -1 if there is no such string. If there are more than one possible subsequences occurring exactly two times, you can print any one of them.

    Constraints
    1 <=T<= 10

    Explanation
    Test case #1: 
    The string ""AAAA"" appears once as a subsequence in itself.
    The string ""AAA"" appears four times as a subsequence in ""AAAA""; possible positions: {2, 3, 4}, {1, 3, 4}, {1, 2, 4}, {1, 2, 3}.
    The strings ""AA"" and ""A"" also appear in ""AAAA"" as a subsequence strictly more than twice.

    So, there is no string of ""AAAA"", which appears exactly twice. Hence answer is -1.
    Test case #2: Two occurrences of ""B"" in ""BAB"" are {1} and {3} (1-based indexing)."
  • CODING ARENA::
  • #include <stdlib.h> 
    #include<stdio.h>
    #include<string.h>
    #include<math.h> 
    int main() 
    {int t;
     scanf("%d",&t);
     while(t--)
    {char ch[5010];
     scanf("%s",ch);
     int i,j,x=0,y=0;
     for(i=0;ch[i]!='\0';i++)
    {if(ch[i]=='A')
         x++;
     else
         y++;
     }
     if(x==2)
     {printf("A\n");continue;
     }
     if(y==2)
    {printf("B\n");continue;
    }
     if(x==1 || y==1)
     {printf("-1\n");continue;
     }
     for(j=0;j<i;j++)
     {int ans=0;
     while(ch[j]!='A' && j<i)
     {ans++;
         j++;
     }
      if(ans==2)
      {for(x=0;x<j-2;x++)
       {if(ch[x]=='A')
          printf("%c",ch[x]);
       }
       printf("B");
       for(x=j;x<i;x++)
       {if(ch[x]=='A')
          printf("%c",ch[x]);
           
       }
         printf("\n");
       j=-1;
      }
      if(j==-1)
          break;
     }
     if(j==-1)
         {continue;
         }
      for(j=0;j<i;j++)
     {int ans=0;
     while(ch[j]!='B' && j<i)
     {ans++;
         j++;
     }
      if(ans==2)
      {for(x=0;x<j-2;x++)
       {if(ch[x]=='B')
          printf("%c",ch[x]);
       }
       printf("A");
       for(x=j;x<i;x++)
       {if(ch[x]=='B')
          printf("%c",ch[x]);
           
       }
       printf("\n");
       j=-1;
      }
      if(j==-1)
          break;
     }
     if(j==-1)
         {continue;
         }
     printf("-1\n");
        return 0;
    }   
  • Test Case 1

    Input (stdin)
    2
    
    AAAA
    
    BAB
    
    
    Expected Output
    -1
    
    B
  • Test Case 2

    Input (stdin)
    3
    
    AAAAA
    
    BABBA
    
    AAA
    
    
    Expected Output
    -1
    
    A
    
    -1

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