Explanation:

Let's work through the logic and steps together:

- The machine alternates between picking the largest word (lexicographically) and the smallest number from the remaining input, and moves it to the left or right end, step by step.

- First step is always the largest word to the far left, then the smallest number to the far right, and so on.

Your input is:

81 Reverse 68 Dance 35 57 Length Yielding 93 42 Progress Easily

Let’s break it down, step by step:

Step I:

- Largest word: Yielding

Yielding 81 Reverse 68 Dance 35 57 Length 93 42 Progress Easily

Step II:

- Smallest number: 35

Yielding 81 Reverse 68 Dance 57 Length 93 42 Progress Easily 35

Step III:

- Next largest word: Reverse

Yielding Reverse 81 68 Dance 57 Length 93 42 Progress Easily 35

Now, the sum of the first two numbers from the left (after all the leading words) in Step III:

- The sequence is: Yielding Reverse 81 68 Dance 57 Length 93 42 Progress Easily 35

- First two numbers from the left: 81 and 68

- 81 + 68 = 149

# Options:

- Option 1: 110

- Option 2: 149

- Option 3: 131

- Option 4: 123

- Option 5: 125

Which option is correct?

- Option 2, 149, is the correct answer.

Here's why:

- Step III clearly puts 81 and 68 as the first two numbers from the left after the words.

- Their sum is 149, matching Option 2.

So, the right option is Option 2, and you now know exactly how each step works.