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input:
production rules:
Step 1: Set root node to E
Step 2: Derive T from E
Step 3: Derive int from T. Wrong, backtrack
Step 4: Derive int * T from T. Wrong. Backtrack
Step 5: Derive ( E ) from T. Match! advance input
Step 4: Derive int * T from T. Wrong. Backtrack
Step 6: Derive T from E
Step 7: Derive int from T
Step 8: Check match
Step 8: Check match
Now, we are at EOF, we can conclude the algorithm
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