The problem is to trace the execution of a given pseudo code and determine the output. The pseudo code initializes a variable $j$ to 1, then enters a `Do While` loop that continues as long as $j < 4$. Inside the loop, the current value of $j$ is printed, and then $j$ is updated with the formula $j = j * j + 1$.

1. Problem Description

The problem is to trace the execution of a given pseudo code and determine the output. The pseudo code initializes a variable $j$ to 1, then enters a `Do While` loop that continues as long as $j < 4$. Inside the loop, the current value of $j$ is printed, and then $j$ is updated with the formula $j = j * j + 1$.

2. Solution Steps

Initially, $j = 1$.

- The `Do While` loop condition is $j < 4$.

- Iteration 1:

- Condition: $1 < 4$ is true, so the loop executes.

- Print $j = 1$.

- Update $j$: $j = j * j + 1 = 1 * 1 + 1 = 1 + 1 = 2$.

- $j$ is now

2.

- Iteration 2:

- Condition: $2 < 4$ is true, so the loop executes.

- Print $j = 2$.

- Update $j$: $j = j * j + 1 = 2 * 2 + 1 = 4 + 1 = 5$.

- $j$ is now

5.

- Iteration 3:

- Condition: $5 < 4$ is false, so the loop terminates.

3. Final Answer

The output of the pseudo code is:

1

2