Comprehension
These questions are based on the situation given below: A robot moves on a graph-sheet with x and y axes. The robot is moved by feeding it with a sequence of instructions. The different instructions that can be used in moving it, and their meanings are:
| Instruction | Meaning |
|---|---|
GOTO(x, y) | Move to point with coordinates (x, y) no matter where you are. |
WALKX(p) | Move parallel to the x-axis through a distance of p, in the positive direction if p is positive, and in the negative direction if p is negative. |
WALKY(p) | Move parallel to the y-axis through a distance of p, in the positive direction if p is positive, and in the negative direction if p is negative. |
Question: 1
The robot reaches point (6,6) when a sequence of three instructions is executed, the first of which is a GOTO(x,y) instruction, the second is WALKX(2) and the third is WALKY(4). What are the values of \( x \) and \( y \) respectively?
The robot reaches point (6,6) when a sequence of three instructions is executed, the first of which is a GOTO(x,y) instruction, the second is WALKX(2) and the third is WALKY(4). What are the values of \( x \) and \( y \) respectively?
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In problems involving robot movement, break down each instruction and calculate the resultant coordinates step by step.
Updated On: Aug 5, 2025
- 2, 4
- 0, 0
- 4, 2
- 2, 2
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The Correct Option is C
Solution and Explanation
The robot starts at an initial position, and the instructions are executed as follows:
- GOTO(x,y) moves the robot to a specific point.
- WALKX(2) moves the robot 2 units along the x-axis.
- WALKY(4) moves the robot 4 units along the y-axis.
To reach the final point (6,6), the initial coordinates of the robot are (4, 2) because after walking 2 units along the x-axis and 4 units along the y-axis, it reaches (6, 6).
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Question: 2
The robot is initially at \( (x, y), x>0 \) and \( y<0 \). The minimum number of instructions needed to execute to bring it to the origin \( (0,0) \) if you are prohibited from using the GOTO instruction is:
The robot is initially at \( (x, y), x>0 \) and \( y<0 \). The minimum number of instructions needed to execute to bring it to the origin \( (0,0) \) if you are prohibited from using the GOTO instruction is:
Show Hint
When calculating the minimum number of instructions for a robot to reach the origin, consider the movement along each axis and apply the corresponding WALK instruction.
Updated On: Aug 5, 2025
- 2
- 1
- \( x + y \)
- 0
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The Correct Option is A
Solution and Explanation
To move the robot to the origin, we need to move it along the x and y axes. Since the robot is initially at a point where \( x>0 \) and \( y<0 \), one instruction of WALKX(-x) and another instruction of WALKY(-y) would be sufficient to bring it to the origin.
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