14 votes

BROWN + YELLOW = PURPLE

Firstly we are assuming that the standard rules of Cryptoarithmetics apply Here is the manual solution Solution
hexomino's user avatar
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14 votes
Accepted

Walking in a random direction

Start at the origin $(0,0)$. If the two directions are $t$ and $u$, the ending location is $\pi(\cos t+\cos u, \sin t+\sin u)$ and the distance from the origin is $$\pi\sqrt{(\cos t+\cos u)^2+(\sin t+...
RobPratt's user avatar
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5 votes

Walking in a random direction

If we consider the angle between the two walks to be $2\alpha$, in which $0\le\alpha<\pi/2$ (since the case for $\pi/2\le\alpha<\pi$ is equivalent), then the distance between the two points is $...
Sny Smartie's user avatar
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4 votes

How to make 2012 by using 2, 0, 1, 2?

Here is one way to do it
hexomino's user avatar
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2 votes

BROWN + YELLOW = PURPLE

Computer Search yields
Sny Smartie's user avatar
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2 votes

Walking in a random direction

Let the smaller angle between the two walks be $\alpha$, where $0\le\alpha\le\pi.$ Using the law of cosines, the distance from where you started is $\sqrt{\pi^2+\pi^2-2\pi^2\cos\alpha}$. Taking the ...
Ronchen Luo's user avatar
1 vote

Water and Milk Mixture Problem

I'm probably over-simplifying the problem but:
vc 74's user avatar
  • 242

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