EXTENDED LIGHTS OUT
| Time Limit: 1000MS |
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Memory Limit: 10000K |
| Total Submissions: 7202 |
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Accepted: 4718 |
Description In an extended version of the game Lights Out, is a puzzle with 5 rows of 6 buttons each (the actual puzzle has 5 rows of 5 buttons each). Each button has a light. When a button is pressed, that button and each of its (up to four) neighbors above, below, right and left, has the state of its light reversed. (If on, the light is turned off; if off, the light is turned on.) Buttons in the corners change the state of 3 buttons; buttons on an edge change the state of 4 buttons and other buttons change the state of 5. For example, if the buttons marked X on the left below were to be pressed,the display would change to the image on the right.
The aim of the game is, starting from any initial set of lights on in the display, to press buttons to get the display to a state where all lights are off. When adjacent buttons are pressed, the action of one button can undo the effect of another. For instance, in the display below, pressing buttons marked X in the left display results in the right display.Note that the buttons in row 2 column 3 and row 2 column 5 both change the state of the button in row 2 column 4,so that, in the end, its state is unchanged.
Note:
1. It does not matter what Z??http://www.2cto.com/kf/ware/vc/" target="_blank" class="keylink">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"pst">Input
The first line of the input is a positive integer n which is the number of puzzles that follow. Each puzzle will be five lines, each of which has six 0 or 1 separated by one or more spaces. A 0 indicates that the light is off, while a 1 indicates that the light is on initially.
Output For each puzzle, the output consists of a line with the string: "PUZZLE #m", where m is the index of the puzzle in the input file. Following that line, is a puzzle-like display (in the same format as the input) . In this case, 1's indicate buttons that must be pressed to solve the puzzle, while 0 indicate buttons, which are not pressed. There should be exactly one space between each 0 or 1 in the output puzzle-like display.
Sample Input
2
0 1 1 0 1 0
1 0 0 1 1 1
0 0 1 0 0 1
1 0 0 1 0 1
0 1 1 1 0 0
0 0 1 0 1 0
1 0 1 0 1 1
0 0 1 0 1 1
1 0 1 1 0 0
0 1 0 1 0 0
Sample Output
PUZZLE #1
1 0 1 0 0 1
1 1 0 1 0 1
0 0 1 0 1 1
1 0 0 1 0 0
0 1 0 0 0 0
PUZZLE #2
1 0 0 1 1 1
1 1 0 0 0 0
0 0 0 1 0 0
1 1 0 1 0 1
1 0 1 1 0 1
分析来源：http://www.xuebuyuan.com/1394020.html
题意：有一个5*6的矩阵，每个位置都表示按钮和灯，1表示亮，0表示灭。每当按下一个位置的按钮，它和它周围灯的状态全部翻转，问在这样的一个方阵中按下哪些按钮可以把整个方阵都变成灭的，这时1表示按了，0表示没按。
以下分析部分转自：http://blog.csdn.net/shiren_Bod/article/details/5766907
这个游戏有一些技巧：
1、按按钮的顺序可以随便。
2、任何一个按钮都最多需要按下1次。因为按下第二次刚好抵消第一次，等于没有按。
这个问题可以转化成数学问题。 |