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All-Russian Olympiad
1989 All Soviet Union Mathematical Olympiad
498
498
Part of
1989 All Soviet Union Mathematical Olympiad
Problems
(1)
ASU 498 All Soviet Union MO 1989 23x23 square tiled with 1x1, 2x2, 3x3
Source:
8/13/2019
A
23
×
23
23 \times 23
23
×
23
square is tiled with
1
×
1
,
2
×
2
1 \times 1, 2 \times 2
1
×
1
,
2
×
2
and
3
×
3
3 \times 3
3
×
3
squares. What is the smallest possible number of
1
×
1
1 \times 1
1
×
1
squares?
combinatorial geometry
combinatorics
Tiling