I was trying to solve this problem . I even searched for solution but was unable to understand .Can any one explain how to solve it.
I was trying to solve this problem . I even searched for solution but was unable to understand .Can any one explain how to solve it.
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Problem statement: http://www.spoj.com/problems/ADFRUITS/
The thing that you are looking for is called shortest common supersequence(or just SCS).
The length of SCS(a,b) and be computed using simple DP:
Let dp[i][j] is the length of the shortest common supersequence of a[1],...,a[i] and b[1],...,b[j].
Then there are two cases:
1) If a[i]=b[j], then dp[i][j]=1+dp[i-1][j-1].
2) If a[i]!=b[j], then dp[i][j]=1+min(dp[i-1][j],dp[i][j-1]).
Now, think how to restore the SCS after computing the dp array.
Got it....thanks again