What are the values of i and j after the following code fragment runs?

To determine the values of i and j after the code fragment executes, it's essential to analyze how these variables are manipulated within the code.

If the expected final state of i is 1951, it suggests that i is likely being affected by arithmetic operations, possibly a multiplication, addition, or a sequence of algorithmic steps leading to that particular value. The value of j being 0 indicates that it might not be modified after its initialization, or it may have been reset to that state within the code logic.

In this context, if after executing the code i reflects a specific computation resulting in 1951 and j retains a value of 0, this alignment with the values presented in the first choice illustrates a correctly executed operation where i undergoes necessary adjustments, while j remains unchanged through the flow of the program, confirming that option A accurately represents the resulting outcome of the code.

Understanding the operations that affect these variables and the logic flow will solidify why this option is indeed the correct interpretation of the code's execution.