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5.1
5.1
Part of
2018 PUMaC Live Round
Problems
(1)
2018 PUMaC Live Round 5.1
Source:
1/13/2019
Let
w
w
w
and
h
h
h
be positive integers and define
N
(
w
,
h
)
N(w,h)
N
(
w
,
h
)
to be the number of ways of arranging
w
h
wh
w
h
people of distinct heights for a photoshoot in such a way that they form
w
w
w
columns of
h
h
h
people, with the people of each column sorted by height (i.e. shortest at the front, tallest at the back). Find the largest value of
N
(
w
,
h
)
N(w,h)
N
(
w
,
h
)
that divides
1008
1008
1008
.
PuMAC
Live Round