Problem 582

A place to air possible concerns or difficulties in understanding ProjectEuler problems. This forum is not meant to publish solutions. This forum is NOT meant to discuss solution methods or giving hints how a problem can be solved.
Forum rules
As your posts will be visible to the general public you are requested to be thoughtful in not posting anything that might explicitly give away how to solve a particular problem.

This forum is NOT meant to discuss solution methods for a problem.

In particular don't post any code fragments or results.

Don't start begging others to give partial answers to problems

Don't ask for hints how to solve a problem

Don't start a new topic for a problem if there already exists one


See also the topics:
Don't post any spoilers
Comments, questions and clarifications about PE problems.
Post Reply
ignat_s
Posts: 8
Joined: Sun Jul 01, 2012 1:16 am

Problem 582

Post by ignat_s »

Let a, b and c be the sides of a triangle with one angle of 120 degrees, a≤b≤c and b-a≤100. Let T(n) be the number of such triangles with c≤n.
a,b,c must have some discreteness limitation, as there are continuously many triangles with such properties for any given n. One can try to guess what designers had in mind. Integers, maybe?
Image
User avatar
hk
Administrator
Posts: 12832
Joined: Sun Mar 26, 2006 10:34 am
Location: Haren, Netherlands

Re: Problem 582

Post by hk »

Gosh, you are good at guessing:
Let a, b and c be the sides of an integer sided triangle with one angle of 120 degrees, a≤b≤c and b-a≤100.
Image
War ruins the life and health of untold numbers of innocent children.
Post Reply