// Returns true if string s3 is s1 interleaved with s2.
// The function is iterative when possible, but uses a recursive
// call when both s1 and s2 match the next character in s3.
// Note that this function is not intended to be called directly. It
is called by Interleaved().
bool interleaved2(char *s1, char *s2, char *s3)
{
  while(1)
  {
    // End case is when all three strings are empty
    if (!s1[0] && !s2[0] && !s3[0]) return true;
    if (s1[0] == s3[0])
    {
      if (s2[0] == s3[0])
      {
        // Tries both using s1 and s2 next. The recursive call uses
s1,
        // and the postincrement of s2 uses s2 iteratively.
        if (interleaved2(s1+1, s2++,s3+1)) return true;
      }
      // s1 is the only match
      else ++s1;
    }
    else
    {
      // s2 is the only match
      if (s2[0] == s3[0]) ++s2;

      // Neither s1 nor s2 match the next character in s3 so the
strings are not interleaved
      else return false;
    }

    // Move on to the next character in s3
    ++s3;
  }
}

bool Interleaved(char *s1, char *s2, char *s3)
{
  // Frequency counts
  int count1[256] = {0};
  int count2[256] = {0};
  int i,j;

  // Count the number of occurances of each character in s1 and s2
  for(i = 0; s1[i]; ++i)
    ++count1[s1[i]];
  for(j = 0; s2[j]; ++j)
    ++count1[s2[j]];
  j += i;

  // Next count the number of occurances of each character in s3
  for(i = 0; s3[i]; ++i)
    ++count2[s3[i]];

  // If the total number of characters in s3 is not s1+s2, interleaved
is false
  if (i != j) return false;

  // If s3 is s1 interleaved with s2, these counts must be equal
  for(i = 1; i < 128; ++i)
    if (count1[i] != count2[i])
      return false;

  // Call the function to do the real work.
  return interleaved2(s1,s2,s3);
}

On Aug 31, 8:43 am, Navneet <navneetn...@gmail.com> wrote:
> Suppose the two strings are ab and cd.
>
> The possible strings formed by interleaving these two are
> abcd, acbd, acdb , cabd etc..
>
> On Aug 31, 5:23 pm, sukran dhawan <sukrandha...@gmail.com> wrote:
>
> > what do u mean by interleaving ?
>
> > On Wed, Aug 31, 2011 at 5:01 PM, Navneet Gupta <navneetn...@gmail.com>wrote:
>
> > > The important thing to notice here is that relative order of
> > > characters is important and hence you should not look for just count
> > > char based approaches.
>
> > > On Wed, Aug 31, 2011 at 11:20 AM, Navneet Gupta <navneetn...@gmail.com>
> > > wrote:
> > > > Given two strings S1 and S2, Find whether another string S3 can formed
> > > > by interleaving S1 and S2. Only constant space.
>
> > > > --
> > > > Regards,
> > > > Navneet
>
> > > --

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