Question: Consider the Longest Common Substring problem: Input: Strings X=[1n] and Y=[1n]. Output: The length of the longest common substring of X and Y. While there

Consider the Longest Common Substring problem: Input: Strings X=[1n] and Y=[1n].

Consider the Longest Common Substring problem: Input: Strings X=[1n] and Y=[1n]. Output: The length of the longest common substring of X and Y. While there could be many solutions, one of the following recurrence relations will yield a working Dynamic Programming algorithm. Select the correct recurrence relation. T[i,j]T[i,j]T[i,j]T[i,j]={1+T[i1,j1]ifxi=yjifxi=yj={1+max{T[i,j1],T[i1,j]}0ifxi=yjifxi=yj={1+T[i1,j1]T[i1,j1]ifxi=yjifxi=yj={1+max{T[i1,j1],T[i,j1],T[i1,j]}0ifxi=yjifxi=yj

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