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Prove whether or not S is a CFL. S={w {a,b,c}*|#a(w) = #b(w) and #b(w) #c(w)(mod3)} #b(w) #c(w)(mod3) means that #b(w) mod 3 =#c(w) mod 3

Prove whether or not S is a CFL.

S={wimage text in transcribed{a,b,c}*|#a(w) = #b(w) and #b(w) image text in transcribed #c(w)(mod3)}

#b(w) image text in transcribed #c(w)(mod3) means that #b(w) mod 3 =#c(w) mod 3

If it is CFL, please draw a PDA for it.

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