Elites Grid Lrdi 2023 Matrix Arrangement Lesson... May 2026

Now, let's try a concrete possibility for row E from earlier: Try E1=E2=3. Then row E: [3,3,?,?,?] — wait, that’s invalid because same number in same row allowed only if clue 6 says so? No — clue 6 says E1=E2, so yes, same number in two columns in same row. But is that allowed? The problem statement said "Place numbers 1 through 5 in each row and each column exactly once" — that means each row must have all five numbers exactly once. So E1=E2 is impossible! Contradiction.

Riya slams the table. “Ah! That’s the trap. Clue 6 says ‘same number’ but that violates the row uniqueness. So either the puzzle allows duplicates (rare) or ‘same number’ means they are equal but then the row must have a duplicate — impossible. Therefore, clue 6 must be interpreted as ‘same symbol’, not same number!”

We need a systematic solve, but in story form, Riya realizes: “The star Latin square is the key. Let’s assume star positions.” Elites Grid LRDI 2023 Matrix Arrangement lesson...

Clue 7: (E4, E5) difference 2 → possible pairs: (1,3),(2,4),(3,1),(3,5),(4,2),(5,3).

But clue 10: (B3,B4) differ by 3 → possible (1,4),(2,5),(4,1),(5,2). Not yet connected. The ★ appears once per row and per column. That’s a huge restriction. Let’s denote positions of ★ as (r,c) with all r and c unique. Now, let's try a concrete possibility for row

That fixes it. Now E1 and E2 share a symbol, say S_E. E4 and E5 differ by 2 in number.

Clue 6: (E1, E2) same number. So E1 = E2 = x. But rows must have 1..5 each exactly once. So x can be 1..5, but that means E3, E4, E5 are the other four numbers. But is that allowed

Let’s correct: Clue 6: (E1, E2): Same symbol.