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Romania Team Selection Test
2023 Romania Team Selection Test
P1
P1
Part of
2023 Romania Team Selection Test
Problems
(1)
Sum os several powers of two
Source: Romania TST 2023 Day 1 P1
4/7/2024
Let
m
m
m
and
n
n
n
be positive integers, where
m
<
2
n
.
m < 2^n.
m
<
2
n
.
Determine the smallest possible number of not necessarily pairwise distinct powers of two that add up to
m
⋅
(
2
n
−
1
)
.
m\cdot(2^n- 1).
m
⋅
(
2
n
−
1
)
.
The Problem Selection Committee
number theory
sum of digits