Problem 2546 --Mondriaan's Dream

2546: Mondriaan's Dream

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Time Limit $1$ 秒/Second(s) Memory Limit $512$ 兆字节/Megabyte(s)
提交总数 $5$ 正确数量 $4$
裁判形式 标准裁判/Standard Judge 我的状态 尚未尝试
难度 分类标签 动态规划
Squares and rectangles fascinated the famous Dutch painter Piet Mondriaan. One night, after producing the drawings in his 'toilet series' (where he had to use his toilet paper to draw on, for all of his paper was filled with squares and rectangles), he dreamt of filling a large rectangle with small rectangles of width 2 and height 1 in varying ways. 

Expert as he was in this material, he saw at a glance that he'll need a computer to calculate the number of ways to fill the large rectangle whose dimensions were integer values, as well. Help him, so that his dream won't turn into a nightmare!


The input contains several test cases. Each test case is made up of two integer numbers: the height h and the width w of the large rectangle. Input is terminated by h=w=0. Otherwise, 1<=h,w<=11.
For each test case, output the number of different ways the given rectangle can be filled with small rectangles of size 2 times 1. Assume the given large rectangle is oriented, i.e. count symmetrical tilings multiple times.
1 2
1 3
1 4
2 2
2 3
2 4
2 11
4 11
0 0
1
0
1
2
3
5
144
51205

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本题记录 用 户(点击查看用户) 运行号(点击购买题解) 时 间
算法最快[$0 $ms] 计爱玲 202260 2018-02-24 22:13:35
内存最少[$0 $KB] 淡意的温柔 606114 2020-07-08 10:44:28
第一AC 计爱玲 202260 2018-02-24 22:13:35
第一挑战 计爱玲 202260 2018-02-24 22:13:35

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