Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ π -¹ ² ³ °

You are not logged in.

- Topics: Active | Unanswered

Pages: **1**

**Turbo****Novice**- Registered: 2024-08-22
- Posts: 4

Offline

**Bob****Administrator**- Registered: 2010-06-20
- Posts: 10,546

hi Turbo

Welcome to the forum and thanks for the puzzles.

Two things I need to check:

y/y isn't that just 1 ?

You've copied these from somewhere. Is there a copyright issue?

Bob

Children are not defined by school ...........The Fonz

You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei

Sometimes I deliberately make mistakes, just to test you! …………….Bob

Offline

**Turbo****Novice**- Registered: 2024-08-22
- Posts: 4

No, there are no copyright issues because these problems are shared in a Discord server. If you're a Discord user, I can share the link with you if you'd like.

idk is y/y = 1? y isn't 0 tho

seems to be 1

Offline

**Turbo****Novice**- Registered: 2024-08-22
- Posts: 4

I mean,i wanted to be intentionally annoying with it, I am very interested in how you all will solve problem 3 and 4

Offline

**Turbo****Novice**- Registered: 2024-08-22
- Posts: 4

Hints since everyone is Not trying:

p0 substitute x(y) = ay^2 + by + c, multiply everything out, group

p1 what point inside the triangle is hardest to reach? it should be a point especially far from all sides

p2 find how many ways there are for small n

p3 inductively construct these polynomials by adding lagrange polynomials. a closed form for f(n) is unnecessary.

p4 number the road types 1,2,3,0 respectively. then a triangle is banned iff it has bitwise xor 0.

Offline

Pages: **1**