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Putnam
2020 Putnam
A1
A1
Part of
2020 Putnam
Problems
(1)
Putnam 2020 A1
Source: 81st William Lowell Putnam Competition
2/22/2021
How many positive integers
N
N
N
satisfy all of the following three conditions?\\ (i)
N
N
N
is divisible by
2020
2020
2020
.\\ (ii)
N
N
N
has at most
2020
2020
2020
decimal digits.\\ (iii) The decimal digits of
N
N
N
are a string of consecutive ones followed by a string of consecutive zeros.
Putnam
Putnam 2020