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[3*5 = 15 Points] Consider the given grammars below. For each below, find out if the given CFG accepts the given string w using CYK

[3*5 = 15 Points] Consider the given grammars below. For each below, find out if the given CFG accepts the given string w using CYK Algorithm. You must show the triangular table. 

S → XY |YY

X → ZZ |XY |x

Y → YY |ZX |y

Z → YX |XX |y


String, w: xxyy



S → XY |YZ

X → YX |x

Y → ZZ|y

Z → XY |x


String, w: xxyxy



S → XY |SS|a

X → YS |ZT| b

Y → TT|b

Z → TR |a|b

T → a

R → SS

String, w: abaab


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