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• The villainous Dr. Schrödinger has developed a growth ray

• and intends to create an army of giant cats

• to terrorize the city.

• Your team of secret agents

• has tracked him to his underground lab.

• You burst in to findthat it's a trap!

• Dr. Schrödinger has slipped into the next room to activate his device

• and disabled the control panel on the way out.

• Fortunately, your teammates are masters of spy-craft.

• Agent Delta has hacked into the control panel

• and managed to reactivate some of its functionality.

• Meanwhile, Agent Epsilon has searched through surveillance

• to find the code for the door:

• 2,

• 10,

• 14.

• All you have to do is enter those numbers and you'll be free.

• But there's a problem.

• The control panel has only three buttons:

• one which adds 5 to the display number,

• and one which takes the square root.

• You need to make the display output the numbers

• 2, 10, and 14, in that order.

• It's okay if it outputs different numbers in between,

• but there's no way to reset the display,

• so once you get to 2,

• you'll have to continue on to 10 and 14 from there.

• Not only that, Agent Delta explains

• that there are other traps built into the panel.

• If it ever shows the same number more than once,

• a number greater than 60,

• or a non-whole number,

• the room will explode.

• Right now, the display reads zero, and time is running out.

• There's only one way to solve the puzzle, with a few small variations.

• How will you input the code to escape from Dr. Schrödinger's lair

• and save the day?

• Pause the video now if you want to figure it out for yourself!

• 2

• 1.

• You look over your options.

• Adding 5 or 7 increases the number,

• and the square root button will make it smaller.

• But there are only a few options where you can use that button:

• 4

• 9

• 16

• 25,

• 36,

• and 49.

• You'd love to make 4 or 16.

• Then you could hit the square root button once or twice to get 2.

• But you can't make either with just the 5 and 7 buttons.

• What will you do?

• You look at the other possible options for numbers you could take the square root of.

• Nine you can't reach.

• Twenty-five and 49 would take you back to 5 or 7,

• and you can already get to each of those.

• Thirty-six is your only option.

• 7,

• 5,

• 7,

• 5,

• 7,

• and then hit the square root button.

• Why that series of 5s and 7s?

• It's somewhat arbitrary,

• but you know that you want to avoid 10, 14, and perfect squares,

• since you'll need them later.

• This gets you to 6.

• Does that help?

• Looking at your options, you see that 16 is now in your sights.

• You add 5 twice more to reach it.

• Then hit square root twice.

• That gets you to 2.

• Now to 10.

• You can't get straight there through addition alone,

• so you're going to have to reach another square.

• Taking the square root of 9 or 25 would get you to a good place,

• but it turns out that 25 is unreachable from 2.

• So you add 7 to get to 9,

• then take the square root again.

• That gets you to 3.

• Adding 7 again makes 10.

• Finally, you need to reach 14.

• Thinking backwards, you imagine where you could be before 14:

• 7 or 9.

• But 9 won't work because you've already used 9.

• However, you could get to 7 by reaching 49 first.

• being careful not to hit any of the numbers you've hit so far.

• adding five 5s and two 7s.

• Then, square root to 7, and add 7 more.

• The door opens, and you're out of the trap.

• Thanks to your problem-solving skills,

• your team gets Schrödinger's cats out of the box in the nick of time.

• As for Schrödinger, you can be certain of one thing:

• he'll be spending quite some time in a box of his own.

The villainous Dr. Schrödinger has developed a growth ray

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# Can you solve the giant cat army riddle? - Dan Finkel

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wwzz1207 posted on 2018/06/11
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