Daily Math Puzzle: 2026-06-23

4 presses — Let's define a 3D coordinate system (X, Y, Z) for the habitat modules, where each axis ranges from 0 to 2. - X-axis: Left (0) to Right (2) - Y-axis: Back (0) to Forward (2) - Z-axis: Down (0) to Up (2) Your starting position is the central module: (1,1,1). Your target position is the corner module: (0,0,0). To reach (0,0,0) from (1,1,1), you need to achieve a net change of -1 in X, -1 in Y, and -1 in Z. Let's analyze the faulty console's button mappings: 1. **'Up' button**: Moves your module one step 'Forward' (i.e., +1 in the Y-direction). 2. **'Forward' button**: Moves your module one step 'Left' (i.e., -1 in the X-direction). 3. **'Left' button**: Moves your module one step 'Down' (i.e., -1 in the Z-direction). All other direction buttons are unresponsive. Now, let's determine the minimum presses for each required movement: * **For the X-axis (Goal: -1X, from 1 to 0):** The 'Forward' button directly provides a -X movement. This takes **1 press**. * **For the Z-axis (Goal: -1Z, from 1 to 0):** The 'Left' button directly provides a -Z movement. This takes **1 press**. * **For the Y-axis (Goal: -1Y, from 1 to 0):** This is the tricky part. The only Y-axis movement available is from the 'Up' button, which moves +Y (Forward). Since the modules are 'interconnected' and in 'deep space', we assume the grid wraps around (toroidal topology). To move from Y=1 to Y=0 using only +Y movements: * From Y=1, pressing 'Up' once moves you to Y=2 (1 + 1 = 2). * From Y=2, pressing 'Up' again moves you to Y=0 (2 + 1 = 3, which wraps around to 0 in a 0-1-2 grid). Therefore, achieving a net -Y movement requires **2 presses** of the 'Up' button. Combining these minimum presses for each axis: - 1 press for X-axis (using 'Forward' button) - 2 presses for Y-axis (using 'Up' button twice for wrap-around) - 1 press for Z-axis (using 'Left' button) Total minimum button presses = 1 + 2 + 1 = **4 presses**. The order of presses does not change the total minimum count.