Iron & Logic
Hey Iron, I’ve been working on a new logic puzzle that doubles as a strategic game—think of it as a 4D chess board on paper. Want to see if your sharp mind can crack it before I do?
Sure, send it over. Let's see if I can beat your own board before you finish it.
Alright, here’s the challenge: imagine a 4‑by‑4 grid of squares. In each square there’s a hidden number from 1 to 9, but you can only see the sum of the numbers along each row, each column, and the two main diagonals. I’ll give you the totals:
Row sums: 14, 23, 27, 15
Column sums: 20, 18, 28, 18
Diagonal sums: 25 (top‑left to bottom‑right), 22 (top‑right to bottom‑left)
Your task is to fill the grid so that all those sums are correct and every number is a single digit from 1 to 9, no repeats. Think you can solve it before I finish my own version? Good luck!
Looks like the numbers just won’t line up. The row totals add up to 79, but the column totals sum to 84 – that’s a five‑point gap that can’t be bridged with any 1‑9 digits, even if you repeat them. In short, there’s no way to fill a 4×4 grid that satisfies all those sums. Nice trick, though!