Maturity and self-development help us learn new and more effective methods of handling our world and the problems we confront. In Numerology, your Balance number provides you with the guidance on how best to deal with difficult or threatening situations.

It's far wiser for you to put real focus on your problem, rather than trying to avoid it. You may try to avoid the issue by indulging your senses to keep from feeling the pain of a conflict. Be careful not to escape into food, alcohol and drugs. You are capable of finding a highly-creative solution to any situation the minute you really put your mind to it. The answer lies well within your grasp.

Line 4: If top and bottom of the stack are equal, output 1, 0 otherwise.

Can you work out the domino pieces which would go in the middle in each case to complete the pattern of these eight sets of 3 dominoes?

Convert input to a string, create a function that takes string segments and sums up all of the digits, and call that function for the left and right halves of the input.

The BigInteger data type allows any number length. If the number is too large, the compiler complains (error CS1021: Integral constant is too large), so the BigInteger.Parse(String) method is used instead.

I was really hoping I could use this approach in some language, and it seems to be doing fairly well in Mathematica. The idea is to avoid having to obtain both the front and the back half by combining the list with its reverse and looking only at the front half.

let f = n=>!(F=n=>n[1]?(n.pop()-n.shift()+F(n)):0)([...n]) // some truthy examples console.log(f("11")); console.log(f("141")); console.log(f("523428121656666655655556655656502809745249552466339089702361716477983610754966885128041975406005088")); // some falsy examples console.log(f("12")); console.log(f("110")); console.log(f("6240911314399072459493765661191058613491863144152352262897351988250431140546660035648795316740212454"));

Here is a longer 410 byte version that does not use the -a flag.


For each number less than the number we just pushed we move a digit to the other stack

Line 2: Discard the -1 on top of the stack, push two 0's and rotate one to the bottom of the stack (this ensures that inputs of length <3 don't exhaust the stack later in the program)

Recursively sums the difference of the first and last digits until there's less than two digits left:

We want the difference between the sums of each stack. So we use the following algorithm to sum each stack.

We have to use str() rather than `` since n may be outside the range of signed int.

Line 3: If the length of the stack is >3, add the top two and bottom two elements of the stack together.

you need to add a script reference to underscore, as is a dependency

If the stacks have different heights we remove the top item from the current stack

Gets input Saves length of input Recursive func to get sum of string Compare the first half sum to the second half sum

The recursive function g unwraps a number string from both ends by repeatedly taking the head, then reversing. It subtracts the recursive result from the head, which causes it alternate coefficients of +1 and -1, with +1 applied to the first half and -1 to the second half.

I'm getting this error: Uncaught ReferenceError: _ is not defined from restangular when trying to use Restangular.

In your bank, you have three types of coins. The number of spots shows how much they are worth. Can you choose coins to exchange with the groups given to make the same total?

A number is balanced if the sum of the digits on each half of the number is equal, so: 1 4 2 3 is balanced because 1+4 = 2+3, so is: 4 2 6 1 5 because 4+2=1+5. Note that the middle number is not included on either side (or it's included on both sides) if there's an odd number of elements.

For the explanation, let's assume input of '1423'. We're then constructing a new string. The two array slices are obvious ($a[...]), and that's surrounded by three additional strings (, 0)-(, and 0), formulating an array of chars and strings. Note the , at the front to enforce array concatenation, not string concatenation.

We push the stack height (i.e. number of digits) and divide by two.

We extract the first half of this list (excluding the middle digit although that doesn't actually matter, because the corresponding difference will be 0 anyway).

Same idea, just use length - i to get other side. It will never reach the center of an odd number.

Buzzy Bee was building a honeycomb. She decided to decorate the honeycomb with a pattern using numbers. Can you discover Buzzy's pattern and fill in the empty cells for her?

So, it takes the sum of the first half minus the sum of the second half. This has the issue that with an odd number of digits, the center tiebreaks to the left, but the main function fixes that by (<*"xx"), which doubles every character, i.e. "12345" becomes "1122334455". That way the middle digit splits evenly on both sides and cancels out.

You need to add a reference of underscore.js in your html file. You can use following cdn path:

Turns out R is very verbose. Takes input as a character.

The first stage splits the string in the middle, omitting the middle character if there is one (taken and modified from here. Courtesy of Martin.) Then, replace digits with their unary representation, and match if the two halves are of equal length.

Your Balance number is considered a minor influence -- that is, until your personal life is off-balance and you must rely more heavily on this number. When you go through emotional turmoil, the Balance number becomes very important.

Takes input $a as a string (necessary to support numbers >2^64-1 without getting into extremely clunky [biginteger] casting on the command line).

Is it a balanced number

This assumes no digit has an ASCII value of zero, which is a valid assumption.

We now want to negate the sum. If the sum is zero it will pop the top off revealing the one we pushed earlier otherwise it will remove both the number and the one and place a zero on top.

You will find the solutions you seek when you empathize with the concerns of others. You have a gift for understanding a wide variety of people and seeing the broader picture. But too often you retreat to aloofness, a kind of Ivory Tower, in which you regard yourself as an aristocrat, above the masses. You can find answers by coming down to the practical reality where people live. It is in giving that you will receive.

That whole array is -joined together with +, resulting in a string like (+1+4+0)-(+2+3+0), and you can see that the 0s are needed to prevent syntax errors. That's fed into |iex (short for Invoke-Expression and similar to eval), which will compute the mathematical result. So long as the string is balanced, you'll get 0 as an output, which we encapsulate in parens and take the Boolean-not thereof !(...), to output True. If it's any non-zero integer, it'll output False.

People experience different internal responses to life's challenges. Some withdraw from difficult situations to think them through, while others withdraw from their emotions to try and keep themselves from feeling anything. Some explode with emotions, but allow the explosion to pass quickly, yet others linger with their feelings, holding on to them well past the time they should have let them go.

There will not be numbers starting with zero, for instance 00032 instead of 32. You must support numbers up to at least 100 digits (so larger than 2^64-1). As always, optional input format, so you may surround the number with apostrophes if desired.