Consider the given SDT which will be executed in connection with a bot...
To determine the final output for the input "babbba" using the given Syntax Directed Translation (SDT) rules executed in connection with a bottom-up parser, we need to perform the following steps:
1. **Parse the input string "babbba" using the given grammar rules**:
- S →aS { print "x" }
- S →bS { print "y" }
- S →a { print "z" }
- S →b { print "z" }
2. **Generate the corresponding parse tree**:
- Starting from the bottom, recognize the terminals and apply the rules in reverse to form the non-terminals.
3. **Apply the actions associated with the production rules in the order they are reduced during parsing**.
### Step-by-step Parsing:
1. **Input**: babbba
2. **Rightmost Derivation**:
- Recognize "b" and reduce using \( S \rightarrow b \) { print "z" }
- Output: "z"
- Now, the string becomes: babbbS
- Recognize "a" and reduce using \( S \rightarrow aS \) { print "x" }
- Output: "z" (already from previous step) + "x"
- Now, the string becomes: babbS
- Recognize "b" and reduce using \( S \rightarrow bS \) { print "y" }
- Output: "zx" + "y"
- Now, the string becomes: babS
- Recognize "b" and reduce using \( S \rightarrow bS \) { print "y" }
- Output: "zxy" + "y"
- Now, the string becomes: baS
- Recognize "a" and reduce using \( S \rightarrow aS \) { print "x" }
- Output: "zxyy" + "x"
- Now, the string becomes: bS
- Recognize "b" and reduce using \( S \rightarrow bS \) { print "y" }
- Output: "zxyyx" + "y"
- Now, the string becomes: S
### Final Output:
- Combining all the prints together in the order of reductions, we get "zyyyxy".
Thus, the final output for the input "babbba" is:
**3. zyyyxy**