Lights Out is an application designed to give users more control over Apple's Energy Saver. It helps solve the problem of Energy Saver insomnia. Many software packages, scanners, and other peripherals interfere with the Mac's normal sleeping patterns. Lights Out offers a secondary idle timer to put your Mac to sleep even when Energy Saver fails to do so. The application also offers hot corners to instantly put your Mac to sleep, or keep your Mac awake. Lights Out offers the ability to customize Energy Saver settings for individual applications. This can be useful for long downloads, iTunes streams, cd or dvd playback, etc. Lights Out allows Safe Sleep to be toggled on or off, and it can delete the sleepimage file freeing up valuable hard drive space. Lights Out can solve unusual power management problems by cleaning out key configuration files and resetting Energy Saver. Lights Out can even logout or shutdown your Macintosh after a specified idle period.
Features:
User configurable idle times for dimming the screen, spinning down disks, and CPU sleep.
Customize Energy Saver settings for individual applications.
User configurable idle time for logout.
User configurable idle time for system shut down.
User definable hot spots for CPU sleep and never sleep.
Toggle Safe Sleep on and off.
Delete the sleepimage file.
Easily switch sleep on and off.
Application based for easy installation and stability.
Simple to configure and use.
Illustrated Documentation.
Features:
User configurable idle times for dimming the screen, spinning down disks, and CPU sleep.
Customize Energy Saver settings for individual applications.
User configurable idle time for logout.
User configurable idle time for system shut down.
User definable hot spots for CPU sleep and never sleep.
Toggle Safe Sleep on and off.
Delete the sleepimage file.
Easily switch sleep on and off.
Application based for easy installation and stability.
Simple to configure and use.
Illustrated Documentation.
- Provided to YouTube by Translation Enterprises d/b/a/ United Masters Lights Out WILLGOTTHEJUICE Lights Out ℗ Premier League Music Released on: 2019-05-03 A.
- Lights Out (1946–1952). Crofton as figured out that a ton gold that once belonged.
For one in column 3, it's 2 and 3. For one in column 2, it's 1, 2 & 3. You repeat this for each lit spot, even if that means repeating to toggle the same. So X X 0 would be 1, 2 then 1, 2, 3 X 0 X would be 1, 2 then 2, 3. Then once done, solve down for a final pass and job done. A fully manual way to solve 3x3 4x4 and 5x5 puzzles.
A system of linear equations
Solving the (3 times 3) version of Lights Out amounts tosolving the system (Ax=b) over (GF(2)) where(A = begin{bmatrix}1 & 1 & 0 & 1 & 0 & 0 & 0 & 0 & 0 1 & 1 & 1 & 0 & 1 & 0 & 0 & 0 & 0 0 & 1 & 1 & 0 & 0 & 1 & 0 & 0 & 0 1 & 0 & 0 & 1 & 1 & 0 & 1 & 0 & 0 0 & 1 & 0 & 1 & 1 & 1 & 0 & 1 & 0 0 & 0 & 1 & 0 & 1 & 1 & 0 & 0 & 1 0 & 0 & 0 & 1 & 0 & 0 & 1 & 1 & 0 0 & 0 & 0 & 0 & 1 & 0 & 1 & 1 & 1 0 & 0 & 0 & 0 & 0 & 1 & 0 & 1 & 1 end{bmatrix})and (b = begin{bmatrix}b_1 b_2 b_3 b_4 b_5 b_6 b_7 b_8 b_9 end{bmatrix}).
Recall that column (i) of (A) represents the action of pressing square (i); the entries in the column equal to 1 correspondto the squares that are toggled when square (i) is pressed.
The tuple (b) represents the configuration of lights.Hence, (b_i = 1) if and only if the light at square (i) is on.
![Lights Lights](https://content.roadbikereview.com/channels/roadbikereview/images/products/large/product_518846_95039.jpg)
The variable (x_i) corresponds to square (i) and is set to 0 or 1.It is set to 1 if and only if the corresponding square needs to be pressedin a solution of the game.
We now solve the system using row reduction. The following table shows the entire process.Separating lines have been added to the matricesto aid reading.
begin{align*}~ & left[scriptsizebegin{array}{ccc|ccc|ccc|c}1 & 1 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & b_1 1 & 1 & 1 & 0 & 1 & 0 & 0 & 0 & 0 & b_2 0 & 1 & 1 & 0 & 0 & 1 & 0 & 0 & 0 & b_3 hline1 & 0 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & b_4 0 & 1 & 0 & 1 & 1 & 1 & 0 & 1 & 0 & b_5 0 & 0 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & b_6 hline0 & 0 & 0 & 1 & 0 & 0 & 1 & 1 & 0 & b_7 0 & 0 & 0 & 0 & 1 & 0 & 1 & 1 & 1 & b_8 0 & 0 & 0 & 0 & 0 & 1 & 0 & 1 & 1 & b_9end{array}right] xrightarrow{R_2 leftarrow R_2 + R_1}~ &left[scriptsizebegin{array}{ccc|ccc|ccc|c}1 & 1 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & b_1 0 & 0 & 1 & 1 & 1 & 0 & 0 & 0 & 0 & b_1+b_2 0 & 1 & 1 & 0 & 0 & 1 & 0 & 0 & 0 & b_3 hline1 & 0 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & b_4 0 & 1 & 0 & 1 & 1 & 1 & 0 & 1 & 0 & b_5 0 & 0 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & b_6 hline0 & 0 & 0 & 1 & 0 & 0 & 1 & 1 & 0 & b_7 0 & 0 & 0 & 0 & 1 & 0 & 1 & 1 & 1 & b_8 0 & 0 & 0 & 0 & 0 & 1 & 0 & 1 & 1 & b_9end{array}right] xrightarrow{R_1 leftarrow R_1 + R_4}~ &left[scriptsizebegin{array}{ccc|ccc|ccc|c}0 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & 0 & b_1+b_4 0 & 0 & 1 & 1 & 1 & 0 & 0 & 0 & 0 & b_1+b_2 0 & 1 & 1 & 0 & 0 & 1 & 0 & 0 & 0 & b_3 hline1 & 0 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & b_4 0 & 1 & 0 & 1 & 1 & 1 & 0 & 1 & 0 & b_5 0 & 0 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & b_6 hline0 & 0 & 0 & 1 & 0 & 0 & 1 & 1 & 0 & b_7 0 & 0 & 0 & 0 & 1 & 0 & 1 & 1 & 1 & b_8 0 & 0 & 0 & 0 & 0 & 1 & 0 & 1 & 1 & b_9end{array}right] xrightarrow{scriptsizebegin{array}{c}R_3 leftarrow R_3 + R_1 R_5 leftarrow R_5 + R_1end{array}}~ &left[scriptsizebegin{array}{ccc|ccc|ccc|c}0 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & 0 & b_1+b_4 0 & 0 & 1 & 1 & 1 & 0 & 0 & 0 & 0 & b_1+b_2 0 & 0 & 1 & 0 & 1 & 1 & 1 & 0 & 0 & b_1+b_3+b_4 hline1 & 0 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & b_4 0 & 0 & 0 & 1 & 0 & 1 & 1 & 1 & 0 & b_1+b_4+b_5 0 & 0 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & b_6 hline0 & 0 & 0 & 1 & 0 & 0 & 1 & 1 & 0 & b_7 0 & 0 & 0 & 0 & 1 & 0 & 1 & 1 & 1 & b_8 0 & 0 & 0 & 0 & 0 & 1 & 0 & 1 & 1 & b_9end{array}right] xrightarrow{scriptsizebegin{array}{c}R_2 leftarrow R_2 + R_3 R_6 leftarrow R_6 + R_3end{array}}~ &left[scriptsizebegin{array}{ccc|ccc|ccc|c}0 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & 0 & b_1+b_4 0 & 0 & 0 & 1 & 0 & 1 & 1 & 0 & 0 & b_2+b_3+b_4 0 & 0 & 1 & 0 & 1 & 1 & 1 & 0 & 0 & b_1+b_3+b_4 hline1 & 0 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & b_4 0 & 0 & 0 & 1 & 0 & 1 & 1 & 1 & 0 & b_1+b_4+b_5 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 1 & b_1+b_3+b_4+b_6 hline0 & 0 & 0 & 1 & 0 & 0 & 1 & 1 & 0 & b_7 0 & 0 & 0 & 0 & 1 & 0 & 1 & 1 & 1 & b_8 0 & 0 & 0 & 0 & 0 & 1 & 0 & 1 & 1 & b_9end{array}right] xrightarrow{scriptsizebegin{array}{c}R_2 leftarrow R_2 + R_7 R_4 leftarrow R_4 + R_7 R_5 leftarrow R_5 + R_7end{array}}~ &left[scriptsizebegin{array}{ccc|ccc|ccc|c}0 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & 0 & b_1+b_4 0 & 0 & 0 & 0 & 0 & 1 & 0 & 1 & 0 & b_2+b_3+b_4+b_7 0 & 0 & 1 & 0 & 1 & 1 & 1 & 0 & 0 & b_1+b_3+b_4 hline1 & 0 & 0 & 0 & 1 & 0 & 0 & 1 & 0 & b_4+b_7 0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & b_1+b_4+b_5+b_7 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 1 & b_1+b_3+b_4+b_6 hline0 & 0 & 0 & 1 & 0 & 0 & 1 & 1 & 0 & b_7 0 & 0 & 0 & 0 & 1 & 0 & 1 & 1 & 1 & b_8 0 & 0 & 0 & 0 & 0 & 1 & 0 & 1 & 1 & b_9end{array}right] xrightarrow{scriptsizebegin{array}{c}R_1 leftarrow R_1 + R_8 R_3 leftarrow R_3 + R_8 R_4 leftarrow R_4 + R_8end{array}}~ &left[scriptsizebegin{array}{ccc|ccc|ccc|c}0 & 1 & 0 & 0 & 0 & 0 & 0 & 1 & 1 & b_1+b_4+b_8 0 & 0 & 0 & 0 & 0 & 1 & 0 & 1 & 0 & b_2+b_3+b_4+b_7 0 & 0 & 1 & 0 & 0 & 1 & 0 & 1 & 1 & b_1+b_3+b_4+b_8 hline1 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 1 & b_4+b_7+b_8 0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & b_1+b_4+b_5+b_7 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 1 & b_1+b_3+b_4+b_6 hline0 & 0 & 0 & 1 & 0 & 0 & 1 & 1 & 0 & b_7 0 & 0 & 0 & 0 & 1 & 0 & 1 & 1 & 1 & b_8 0 & 0 & 0 & 0 & 0 & 1 & 0 & 1 & 1 & b_9end{array}right] xrightarrow{scriptsizebegin{array}{c} R_2 leftarrow R_2 + R_5 R_3 leftarrow R_3 + R_5 R_9 leftarrow R_9 + R_5end{array}}~ &left[scriptsizebegin{array}{ccc|ccc|ccc|c}0 & 1 & 0 & 0 & 0 & 0 & 0 & 1 & 1 & b_1+b_4+b_8 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & b_1+b_2+b_3+b_5 0 & 0 & 1 & 0 & 0 & 0 & 0 & 1 & 1 & b_3+b_5+b_7+b_8 hline1 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 1 & b_4+b_7+b_8 0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & b_1+b_4+b_5+b_7 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 1 & b_1+b_3+b_4+b_6 hline0 & 0 & 0 & 1 & 0 & 0 & 1 & 1 & 0 & b_7 0 & 0 & 0 & 0 & 1 & 0 & 1 & 1 & 1 & b_8 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 1 & b_1+b_4+b_5+b_7+b_9end{array}right] xrightarrow{scriptsizebegin{array}{c} R_4 leftarrow R_4 + R_6 R_7 leftarrow R_7 + R_6R_8 leftarrow R_8 + R_6end{array}}~ &left[scriptsizebegin{array}{ccc|ccc|ccc|c}0 & 1 & 0 & 0 & 0 & 0 & 0 & 1 & 1 & b_1+b_4+b_8 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & b_1+b_2+b_3+b_5 0 & 0 & 1 & 0 & 0 & 0 & 0 & 1 & 1 & b_3+b_5+b_7+b_8 hline1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & b_1+b_3+b_6++b_7+b_8 0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & b_1+b_4+b_5+b_7 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 1 & b_1+b_3+b_4+b_6 hline0 & 0 & 0 & 1 & 0 & 0 & 0 & 1 & 1 & b_1+b_3+b_4+b_6+b_7 0 & 0 & 0 & 0 & 1 & 0 & 0 & 1 & 0 & b_1+b_3+b_4+b_6+b_8 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 1 & b_1+b_4+b_5+b_7+b_9end{array}right] xrightarrow{scriptsizebegin{array}{c}R_1 leftarrow R_1 + R_9 R_3 leftarrow R_3 + R_9 R_7 leftarrow R_7 + R_9end{array}}~ &left[scriptsizebegin{array}{ccc|ccc|ccc|c}0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & b_5+b_7+b_8+b_9 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & b_1+b_2+b_3+b_5 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & b_1+b_3+b_4+b_8+b_9 hline1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & b_1+b_3+b_6++b_7+b_8 0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & b_1+b_4+b_5+b_7 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 1 & b_1+b_3+b_4+b_6 hline0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & b_3+b_5+b_6+b_9 0 & 0 & 0 & 0 & 1 & 0 & 0 & 1 & 0 & b_1+b_3+b_4+b_6+b_8 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 1 & b_1+b_4+b_5+b_7+b_9end{array}right] xrightarrow{scriptsizebegin{array}{c}R_8 leftarrow R_8 + R_2 R_9 leftarrow R_9 + R_2end{array}}~ &left[scriptsizebegin{array}{ccc|ccc|ccc|c}0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & b_5+b_7+b_8+b_9 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & b_1+b_2+b_3+b_5 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & b_1+b_3+b_4+b_8+b_9 hline1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & b_1+b_3+b_6++b_7+b_8 0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & b_1+b_4+b_5+b_7 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 1 & b_1+b_3+b_4+b_6 hline0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & b_3+b_5+b_6+b_9 0 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & b_2+b_4+b_5+b_6+b_8 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & b_2+b_3+b_4+b_7+b_9end{array}right] xrightarrow{R_6 leftarrow R_6 + R_9}~ &left[scriptsizebegin{array}{ccc|ccc|ccc|c}0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & b_5+b_7+b_8+b_9 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & b_1+b_2+b_3+b_5 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & b_1+b_3+b_4+b_8+b_9 hline1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & b_1+b_3+b_6+b_7+b_8 0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & b_1+b_4+b_5+b_7 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & b_1+b_2+b_6+b_7+b_9 hline0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & b_3+b_5+b_6+b_9 0 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & b_2+b_4+b_5+b_6+b_8 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & b_2+b_3+b_4+b_7+b_9end{array}right]end{align*}Lights Out 3 2 0 805
![Lights out 3 2 0 87 Lights out 3 2 0 87](https://ae01.alicdn.com/kf/HLB18BYDXPDuK1RjSszdq6xGLpXa2/50pcs-8mm-0-5W-Power-Bright-Red-White-Green-Blue-Yellow-Warm-Straw-Hat-Led-3.jpg)
Lights Out 3 2 0 895
From the final augmented matrix, we see that(begin{bmatrix}x_1x_2x_3x_4x_5x_6x_7x_8x_9end{bmatrix}=begin{bmatrix}b_1+b_3+b_6+b_7+b_8 b_5+b_7+b_8+b_9 b_1+b_3+b_4+b_8+b_9 b_3+b_5+b_6+b_9 b_2+b_4+b_5+b_6+b_8 b_1+b_4+b_5+b_7 b_1+b_2+b_6+b_7+b_9 b_1+b_2+b_3+b_5 b_2+b_3+b_4+b_7+b_9 end{bmatrix}.)
Hence, if the top-left square is the only one with the light on, thenthe solution is to press squares 1, 3, 6, 7, and 8. (Why?) Grandtotal 6 0 8 download free.
Exercises
Solve the (4 times 4) version of Lights Outcompletely. Is there a solution for every possible configuration of lights? Explain your answer. Diablo 2 rush channel.