1.5 KiB
1.5 KiB
id | challengeType | title | forumTopicId |
---|---|---|---|
5900f40f1000cf542c50ff22 | 5 | Problem 163: Cross-hatched triangles | 301797 |
Description
Sixteen triangles of either different shape or size or orientation or location can now be observed in that triangle. Using size 1 triangles as building blocks, larger triangles can be formed, such as the size 2 triangle in the above sketch. One-hundred and four triangles of either different shape or size or orientation or location can now be observed in that size 2 triangle. It can be observed that the size 2 triangle contains 4 size 1 triangle building blocks. A size 3 triangle would contain 9 size 1 triangle building blocks and a size n triangle would thus contain n2 size 1 triangle building blocks. If we denote T(n) as the number of triangles present in a triangle of size n, then T(1) = 16 T(2) = 104 Find T(36).
Instructions
Tests
tests:
- text: <code>euler163()</code> should return 343047.
testString: assert.strictEqual(euler163(), 343047);
Challenge Seed
function euler163() {
// Good luck!
return true;
}
euler163();
Solution
// solution required