15 lines
850 B
YAML
15 lines
850 B
YAML
|
title: Coded triangle numbers
|
||
|
|
url: http://projecteuler.net/problem=42
|
||
|
|
|
||
|
|
desc: |
|
||
|
|
The nth term of the sequence of triangle numbers is given by, tn = 0.5n(n+1); so the first ten triangle numbers are:
|
||
|
|
1, 3, 6, 10, 15, 21, 28, 36, 45, 55, ...
|
||
|
|
By converting each letter in a word to a number corresponding to its alphabetical position and adding these values we form a word value. For example, the word value for SKY is 19 + 11 + 25 = 55 = t10. If the word value is a triangle number then we shall call the word a triangle word.
|
||
|
|
Using words.txt (right click and 'Save Link/Target As...'), a 16K text file containing nearly two-thousand common English words, how many are triangle words?
|
||
|
|
solution: Bruteforce
|
||
|
|
|
||
|
|
solutions:
|
||
|
|
solve.php:
|
||
|
|
desc: Expects data on STDIN
|
||
|
|
language: php
|
||
|
|
parameters: < ProjectEuler\042\words.txt
|