PassedOut, on 2018-August-01, 19:17, said:
I saw that last night and printed out the problems. Printing them out and solving them are two very different things. The contest is for high school students, so in many cases a normal person (i.e a non-mathematician) can understand the question. See
https://www.imo-offi...g/problems.aspx
For example:
Problem 3. An anti-Pascal triangle is an equilateral triangular array of numbers such that, except
for the numbers in the bottom row, each number is the absolute value of the difference of the two
numbers immediately below it. For example, the following array is an anti-Pascal triangle with four
rows which contains every integer from 1 to 10.
...................4
................2..... 6
............5.....7.......1
.......8.......3....10 .....9
Does there exist an anti-Pascal triangle with 2018 rows which contains every integer from 1 to 1 + 2 + + 2018?
You could entertain yourself with a (very) scaled down problem:
Observe: The triangle
......2
1..........3
is a two row anti-pascal triangle using the numbers 1,2,3
And: The example that they give is a four row anti-pascal triangle using the numbers 1,2,3,...10
Scaled down problem: Is there a 3 row anti-pascal triangle using the numbers 1,2,3,4,5,6?
And then on to 2018.
If your reaction s "Why would anyone care?", that might be tougher to answer. But then explaining what people enjoy, and why, is always difficult.
Congrats to these youngsters. It is a pleasure to read about them.
PS If you just flip a coin and answer "yes there is" or no "there isn't", you will not be getting credit!