2021 Spring LMT Division A Problem 23, B Problem 24
Source:
January 22, 2022
number theory
Problem Statement
A Haiku is a Japanese poem of seventeen syllables, in three lines of five, seven, and five. A group of haikus
Some have one syllable less
Sixteen in total.
The group of haikus
Some have one syllable more
Eighteen in total.
What is the largest
Total count of syllables
That the group can’t have?
(For instance, a group
Sixteen, seventeen, eighteen
Fifty-one total.)
(Also, you can have
No sixteen, no eighteen
Syllable haikus)Proposed by Jeff Lin