No42_Coded triangle numbers
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题目:
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?
#coding=utf-8import io,math,timet=time.time()wordlist={word for word in io.open(r'two.txt','r').read()[1:-2].split('","')}matchedword=set()for word in wordlist: lettersum=sum([ord(letter)-ord('A')+1 for letter in word])#计算和 root=int(math.sqrt(lettersum*2)) if root*root+root==lettersum*2:#计算是否满足条件 #print word,lettersum matchedword.add(word)"""wordwithsum_list=[(word,sum([ord(letter)-ord('A')+1 for letter in word])) for word in matchedword]wordwithsum_list.sort(key=lambda x:x[1])for word,tempsum in wordwithsum_list: print word,tempsum"""print len(matchedword)#print int(1.9)print time.time()-t运行结果为:
162
0.00800013542175
0 0
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