Minimize the sequence by putting appropriate operations ' DP'

Posted by Vikas on Stack Overflow See other posts from Stack Overflow or by Vikas
Published on 2010-05-16T15:49:57Z Indexed on 2010/05/16 16:00 UTC
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dynamic-programming

Given a sequence,say, 222 We have to put a '+' or '* ' between each adjacent pair. '* ' has higher precedence over '+'

We have to o/p the string whose evaluation leads to minimum value. O/p must be lexicographically smallest if there are more than one.

inp:222

o/p: 2*2+2

Explaination:

2+2+2=6

2+2*2=6

2*2+2=6

of this 3rd is lexicographically smallest.

I was wondering how to construct a DP solution for this.

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