USACOTrainning.Ordered Fractions

这题简单，但看到analysis里面的这个解法真是囧。

 

We notice that we can start with 0/1 and 1/1 as our ``endpoints'' and recursively generate the middle points by adding numerators and denominators. 

0/1                                                              1/1
                               1/2
                  1/3                      2/3
        1/4              2/5         3/5                 3/4
    1/5      2/7     3/8    3/7   4/7   5/8       5/7         4/5

Each fraction is created from the one up to its right and the one up to its left. This idea lends itself easily to a recursion that we cut off when we go too deep.

posted @ 2010-04-21 08:41  litstrong  阅读(166)  评论(0)  编辑  收藏  举报