Project Euler 2
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'''Created on 2014年8月21日Even Fibonacci numbersEach new term in the Fibonacci sequence is generated by adding the previous two terms. By starting with 1 and 2, the first 10 terms will be:1, 2, 3, 5, 8, 13, 21, 34, 55, 89, ...By considering the terms in the Fibonacci sequence whose values do not exceed four million, find the sum of the even-valued terms.@author: wxp2971'''# 计算数值,求余计算求和def valFibonacci(n): item1 = 1; item2 = 2 if n == 1: return item1 if n == 2: return item2 for i in range(n): sum = item1 + item2 item1 = item2 item2 = sum return sumsum = 0i = 1val = valFibonacci(i)while (val < 4000000): if val%2 == 0: sum += val i += 1 val = valFibonacci(i)print(sum)# 每三位是一个偶数,直接加,不加判断limit = 4000000secondSum = 0item1 = 1item2 = 1item3 = item1 + item2while (item3 < limit): secondSum = secondSum + item3 item1 = item2 + item3 item2 = item1 + item3 item3 = item1 + item2print(secondSum)# 答案中的递推公式,观察def valFiboni(eN): item1 = 2 item2 = 8 for i in range(eN): valN = 4*item2 + item1 item1 = item2 item2 = valN return valNi = 0val = 10 threeSum = 0while (val < 4000000): threeSum += val i += 1 val = valFiboni(i)print(threeSum)
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