## Algorithm

An edit step is a transformation from one word x to another word y such that x and y are words in the dictionary, and x can be transformed to y by adding, deleting, or changing one letter. So the transformation from dig to dog or from dog to do are both edit steps. An edit step ladder is a lexicographically ordered sequence of words w1, w2, . . . , wn such that the transformation from wi to wi+1 is an edit step for all i from 1 to n − 1. For a given dictionary, you are to compute the length of the longest edit step ladder. Input The input to your program consists of the dictionary – a set of lower case words in lexicographic order – one per line. No word exceeds 16 letters and there are no more than 25000 words in the dictionary. Output The output consists of a single integer, the number of words in the longest edit step ladder.

Sample Input cat dig dog fig fin fine fog log wine Sample Output

## Code Examples

### #1 Code Example with C Programming

```Code - C Programming```

`````` #include
using namespace std;

int main()
{
map dp;
int res=0;
string in;
while (cin >> in)
{
int len=1;
for(int i=0;i<=in.size();i++){
// delete
string edit(in);
edit.erase(i, 1);
if(dp.count(edit)) len=max(len, dp+1);
for(char c ='a';c<='z';c++)
{
// insert
edit = in;
edit.insert(i,1,c);

if(edit i&It in && dp.count(edit)) len=max(len, dp+1);

// edit
if(i I&It  in.size()){
edit = in;
edit[i] = c;
if(edit i&It in && dp.count(edit)) len=max(len, dp+1);
}
}
}

dp[in]=len;
res=max(res,len);
}
printf("%d\n",res);
}``````
Copy The Code &

Input

cmd
cat
dig
dog
fig
fin
fine
fog
log
wine

Output

cmd
5

## Demonstration

UVA Online Judge solution - 10029 - Edit Step Ladders - UVA online judge solution in C,C++,Java