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Consider the following weighted FST, paying special attention to the input, output and weights in each transition: Is there an output string with lowest weight?

Consider the following weighted FST, paying special attention to the input, output and weights in each transition:

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Is there an output string with lowest weight? If so, what is it, and what is its weight?

Is there an output string with highest weight? If so, what is it, and what is its weight?

is.is/0.5 better:better/0.7 data:data/0.66 4 using:using/1 are:are/0.5 worse:worse/0.3 2 intuition:intuition/0.33 - 3 is:is/1 (a) ey:/0.5 t:/0.3 ax: 8/1 A2 dx:/0.7 ae:0.5 d:data/1 d:dew/1 uw:/1 is.is/0.5 better:better/0.7 data:data/0.66 4 using:using/1 are:are/0.5 worse:worse/0.3 2 intuition:intuition/0.33 - 3 is:is/1 (a) ey:/0.5 t:/0.3 ax: 8/1 A2 dx:/0.7 ae:0.5 d:data/1 d:dew/1 uw:/1

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