## 嵇爾的吐槽

#没事画轮子的嵇尔不定期的(W)碎(E)碎(B)念(B)和(L)吐(O)槽(G)

Problem 42 Coded triangle numbers 2016-10-28 22:30:00

The nth term of the sequence of triangle numbers is given by, tn = ½n(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?

### 三角形词的数量

1, 3, 6, 10, 15, 21, 28, 36, 45, 55, …

words.txt (右键另存为)是一个16K的文本文件，包含将近两千个常用英语单词。在这个文件中，一共有多少个三角形词？

``````file = open('p042_words.txt')

n = [i * (i + 1) / 2 for i in range(1, 100)]

s = ''
for f in file:
s += f

s = eval(s)

def get_order(c):
return ord(c) - ord('A') + 1
count = 0
for word in s:
result = 0
for c in word:
result += get_order(c)
if result in n:
print word
count += 1

print count
``````