26. Consider the adjacent code segment. What is the last output executed by the program? (A) 1110 (B) 1010 (C) 1011 (D) 1111 xarrow 1 yarrow 20 REPEAT UNTIL xgt y xarrow x+1 yarrow y-1 DISPLAY square DISPLAY y

To determine the last output executed by the program, we need to analyze the code segment step by step.<br /><br />1. Initialize variables:<br /> - $x \leftarrow 1$<br /> - $y \leftarrow 20$<br /><br />2. The loop condition is REPEAT UNTIL $x > y$. This means the loop will continue until $x$ is greater than $y$.<br /><br />3. Inside the loop:<br /> - $x \leftarrow x + 1$<br /> - $y \leftarrow y - 1$<br /><br />4. The loop will continue until $x$ is greater than $y$. Let's track the values of $x$ and $y$ during each iteration:<br /><br /> - Iteration 1:<br /> - $x \leftarrow 1 + 1 = 2$<br /> - $y \leftarrow 20 - 1 = 19$<br /><br /> - Iteration 2:<br /> - $x \leftarrow 2 + 1 = 3$<br /> - $y \leftarrow 19 - 1 = 18$<br /><br /> - Iteration 3:<br /> - $x \leftarrow 3 + 1 = 4$<br /> - $y \leftarrow 18 - 1 = 17$<br /><br /> - Iteration 4:<br /> - $x \leftarrow 4 + 1 = 5$<br /> - $y \leftarrow 17 - 1 = 16$<br /><br /> - Iteration 5:<br /> - $x \leftarrow 5 + 1 = 6$<br /> - $y \leftarrow 16 - 1 = 15$<br /><br /> - Iteration 6:<br /> - $x \leftarrow 6 + 1 = 7$<br /> - $y \leftarrow 15 - 1 = 14$<br /><br /> - Iteration 7:<br /> - $x \leftarrow 7 + 1 = 8$<br /> - $y \leftarrow 14 - 1 = 13$<br /><br /> - Iteration 8:<br /> - $x \leftarrow 8 + 1 = 9$<br /> - $y \leftarrow 13 - 1 = 12$<br /><br /> - Iteration 9:<br /> - $x \leftarrow 9 + 1 = 10$<br /> - $y \leftarrow 12 - 1 = 11$<br /><br /> - Iteration 10:<br /> - $x \leftarrow 10 + 1 = 11$<br /> - $y \leftarrow 11 - 1 = 10$<br /><br /> - Iteration 11:<br /> - $x \leftarrow 11 + 1 = 12$<br /> - $y \leftarrow 10 - 1 = 9$<br /><br /> - Iteration 12:<br /> - $x \leftarrow 12 + 1 = 13$<br /> - $y \leftarrow 9 - 1 = 8$<br /><br /> - Iteration 13:<br /> - $x \leftarrow 13 + 1 = 14$<br /> - $y \leftarrow 8 - 1 = 7$<br /><br /> - Iteration 14:<br /> - $x \leftarrow 14 + 1 = 15$<br /> - $y \leftarrow 7 - 1 = 6$<br /><br /> - Iteration 15:<br /> - $x \leftarrow 15 + 1 = 16$<br /> - $y \leftarrow 6 - 1 = 5$<br /><br /> - Iteration 16:<br /> - $x \leftarrow 16 + 1 = 17$<br /> - $y \leftarrow 5 - 1 = 4$<br /><br /> - Iteration 17:<br /> - $x \leftarrow 17 + 1 = 18$<br /> - $y \leftarrow 4 - 1 = 3$<br /><br /> - Iteration 18:<br /> - $x \leftarrow 18 + 1 = 19$<br /> - $y \leftarrow 3 - 1 = 2$<br /><br /> - Iteration 19:<br /> - $x \leftarrow 19 + 1 = 20$<br /> - $y \leftarrow 2 - 1 = 1$<br /><br /> - Iteration 20:<br /> - $x \leftarrow 20 + 1 = 21$<br /> - $y \leftarrow 1 - 1 = 0$<br /><br />At this point, the loop condition $x > y$ is satisfied, and the loop terminates.<br /><br />The last output executed by the program is the value of $y$, which is 0.<br /><br />Therefore, the correct answer is (D) 1111.