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jjdg(½ð±Ò+2): ¸Ðл²ÎÓë 2011-07-27 00:04:41
ben_ladeng: 2011-08-02 08:06:50
Ò²ÊÇÓõݹ飬ÏÈ˵˼·£¨¿ÉÄÜÓе㱿£©
¶ÔÓÚn penceÀ´Ëµ£¬Èç¹ûÖ»ÓÃ1pence ºÍ2 pence Á½ÖÖ¶Ò»»£¬ÔòÓÐ int(n/2)+1 ÖÖ·½·¨£¬Ð´³ÉÕâÖÖÐÎʽ
y(1,2;n)=int(n/2)+1
Èç¹ûÔÙ¼Ó¶àЩ£¬Æ©ÈçÓÃ1pence, 2 pence ºÍ 5 pence ÈýÖÖ¶Ò»»£¬ÔòÓÐ
y(1,2,5;n)=y(1,2;n)+y(1,2;n-5)+y(1,2;n-10)+...           
Ò»°ã»¯£¬y(1,2,...,n0,n1;n)=y(1,2,...,n0;n)+y(1,2,...,n0;n-n1)+y(1,2,...,n0,n-2*n1)+...
ÇÒy(1,n0;n)=int(n/n0)+1
ËùÒÔ´úÂëΪ£¨¾ÍÓÃlistʵÏֵģ©
CODE:
#!/usr/bin/env python

def euler31(l):
    lt=len(l)
    if lt==3:
        return int(l[2]/l[1])+1
    elif lt>3:
        sum=0
        for i in range(int(l[lt-1]/l[lt-2])+1):
            la=l[:lt-2]+[l[lt-1]-i*l[lt-2]]
            sum+=euler31(la)
        return sum
   
if __name__ == "__main__":
    l=[1,2,5,10,20,50,100,200]
    print euler31(l)+1

²»¹ý×îºó»¹Òª¼ÓÒ»²ÅµÃµ½ÕýÈ·´ð°¸£¬ÒòΪÌâÄ¿ÖаÑ1¸ö200penceÒ²Ëã³ÉÒ»ÖÖ·½·¨ÁË

[ Last edited by wangww2011 on 2011-7-26 at 21:24 ]
11Â¥2011-07-26 21:08:49
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