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Hungary Contests
Kürschák Math Competition
1974 Kurschak Competition
2
2
Part of
1974 Kurschak Competition
Problems
(1)
squares S_i of side 1/i can be put into a square side k without overlapping.
Source: 1974 Hungary - Kürschák Competition p2
10/15/2022
S
n
S_n
S
n
is a square side
1
n
\frac{1}{n}
n
1
. Find the smallest
k
k
k
such that the squares
S
1
,
S
2
,
S
3
,
.
.
.
S_1, S_2,S_3, ...
S
1
,
S
2
,
S
3
,
...
can be put into a square side
k
k
k
without overlapping.
combinatorics
combinatorial geometry