poj 1222 EXTENDED LIGHTS OUT(高斯消元)
EXTENDED LIGHTS OUT
Time Limit: 1000MS
Memory Limit: 10000K
Total Submissions: 6628
Accepted: 4368
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喎?http://www.Bkjia.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
高斯消元的簡單題:
#include
#include
#include
#include
using namespace std;
int a[35][35],x[35];
int equ,var;//方程數和變元數
void Debug()
{
for(int i=0;ia[max_r][i]) max_r=j;
}
if(max_r!=i)
{
for(int k=0;k<=var;k++)
{
swap(a[i][k],a[max_r][k]);
}
}
for(int j=0;j=0;i--)
{
int temp=a[i][var];
for(int j=i+1;j