How can I solve this problem with the help of dynamic programming?












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I am preparing for a national algorithmic competition and I have encountered this question,



You are given a string that contains only lowercase English letters. In one step, you can choose an index from the string and assign the next letter in the alphabet (a->b,b->c,...z->a) to that index. Lets define f(s) as the number of indices in the string,where , s[i]!=s[i+1]



You are given a number k. Now, your task is to determine the minimum number of steps required to perform on the string to obtain a new string such that
f(new-string)<=k



Print the minimum number of steps.
Example:-
string: abcz



k=1



Output: 3



Explaination:-New string will be (one of the possibilities)cccz and f(new-string)=1



Any dp/non-dp approach to solve this problem? Thanks :-)










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    $begingroup$


    I am preparing for a national algorithmic competition and I have encountered this question,



    You are given a string that contains only lowercase English letters. In one step, you can choose an index from the string and assign the next letter in the alphabet (a->b,b->c,...z->a) to that index. Lets define f(s) as the number of indices in the string,where , s[i]!=s[i+1]



    You are given a number k. Now, your task is to determine the minimum number of steps required to perform on the string to obtain a new string such that
    f(new-string)<=k



    Print the minimum number of steps.
    Example:-
    string: abcz



    k=1



    Output: 3



    Explaination:-New string will be (one of the possibilities)cccz and f(new-string)=1



    Any dp/non-dp approach to solve this problem? Thanks :-)










    share|cite|improve this question









    $endgroup$















      0












      0








      0





      $begingroup$


      I am preparing for a national algorithmic competition and I have encountered this question,



      You are given a string that contains only lowercase English letters. In one step, you can choose an index from the string and assign the next letter in the alphabet (a->b,b->c,...z->a) to that index. Lets define f(s) as the number of indices in the string,where , s[i]!=s[i+1]



      You are given a number k. Now, your task is to determine the minimum number of steps required to perform on the string to obtain a new string such that
      f(new-string)<=k



      Print the minimum number of steps.
      Example:-
      string: abcz



      k=1



      Output: 3



      Explaination:-New string will be (one of the possibilities)cccz and f(new-string)=1



      Any dp/non-dp approach to solve this problem? Thanks :-)










      share|cite|improve this question









      $endgroup$




      I am preparing for a national algorithmic competition and I have encountered this question,



      You are given a string that contains only lowercase English letters. In one step, you can choose an index from the string and assign the next letter in the alphabet (a->b,b->c,...z->a) to that index. Lets define f(s) as the number of indices in the string,where , s[i]!=s[i+1]



      You are given a number k. Now, your task is to determine the minimum number of steps required to perform on the string to obtain a new string such that
      f(new-string)<=k



      Print the minimum number of steps.
      Example:-
      string: abcz



      k=1



      Output: 3



      Explaination:-New string will be (one of the possibilities)cccz and f(new-string)=1



      Any dp/non-dp approach to solve this problem? Thanks :-)







      programming






      share|cite|improve this question













      share|cite|improve this question











      share|cite|improve this question




      share|cite|improve this question










      asked Jan 23 at 18:22









      Karan GujarKaran Gujar

      63




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