Does a number have balanced numbers of distinct digits? That is, do the number's digits appear with equal frequency?

Input

• A positive integer N.
• N will have no leading zeroes.

Output

• An indication of whether the number has balanced digits.
• This can be a truthy or falsy value (where you can choose whether truthy corresponds to balanced or unbalanced), or one of 2 distinct values.

Examples

• 1234 has 1 of each present digit, so is balanced.
• 1223 has 1 1 and 1 3, but 2 2s, so is not balanced.
• 1212 has 2 1s and 2 2s, so is balanced.
• 1000 has 1 1 and 3 0s, so is not balanced (zeroes are relevant).
• 1100 has 2 1s and 2 0s, so is balanced.
• 5555 has 4 5s, so is balanced.

Test cases

Test cases are in the format input : output.

Note that you may choose any 2 distinct values instead of true and false, or you may use truthy and falsy outputs rather than consistent values.

1 : true
22 : true
98 : true
222 : true
234 : true
3456 : true
3434 : true
3355 : true
4664 : true
123456789 : true
234567890 : true
11223344 : true
111222333 : true
132321213 : true
54554445 : true
999999999 : true
778 : false
565 : false
1223 : false
2123 : false
999999998 : false
999989999 : false
112233445 : false
999999990 : false
101202303 : false

Scoring

This is a code golf challenge. Your score is the number of bytes in your code.

Explanations are optional, but I'm more likely to upvote answers that have one.

posted 23 days ago

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trichoplax‭

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