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3254：Corn Fields

题目描述

Farmer John has purchased a lush new rectangular pasture composed of M by N (1 ≤ M ≤ 12; 1 ≤ N ≤ 12) square parcels. He wants to grow some yummy corn for the cows on a number of squares. Regrettably, some of the squares are infertile and can't be planted. Canny FJ knows that the cows dislike eating close to each other, so when choosing which squares to plant, he avoids choosing squares that are adjacent; no two chosen squares share an edge. He has not yet made the final choice as to which squares to plant.

Being a very open-minded man, Farmer John wants to consider all possible options for how to choose the squares for planting. He is so open-minded that he considers choosing no squares as a valid option! Please help Farmer John determine the number of ways he can choose the squares to plant.

输入解释
Line 1: Two space-separated integers: M and N
Lines 2..M+1: Line i+1 describes row i of the pasture with N space-separated integers indicating whether a square is fertile (1 for fertile, 0 for infertile)
输出解释
Line 1: One integer: the number of ways that FJ can choose the squares modulo 100,000,000.
输入样例 
2 3
1 1 1
0 1 0
输出样例 
9
提示
Number the squares as follows:
1 2 3
  4  

There are four ways to plant only on one squares (1, 2, 3, or 4), three ways to plant on two squares (13, 14, or 34), 1 way to plant on three squares (134), and one way to plant on no squares. 4+3+1+1=9.
该题目是Virtual Judge题目，来自 北京大学POJ
题目来源 USACO 2006 November Gold
源链接： POJ-3254
最后修改于 2020-10-29T06:57:01+00:00 由爬虫自动更新
共提交 0 次
通过率 --%
时间上限 内存上限
2000 65536