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Next Number with Disjoint Digits

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Problem statement

Given a positive 32-bit integer n, find the smallest integer strictly greater than n whose decimal digits do not occur anywhere in the decimal representation of n.

Repeated digits are allowed in the result. Return -1 when no qualifying integer fits in a signed 32-bit integer.

Function

nextDisjointDigitNumber(n: int) → int

Examples

Example 1

n = 654321return = 700000

Digits 0, 7, 8, and 9 are allowed. The smallest allowed six-digit number above n is 700000.

Example 2

n = 98return = 100

The result cannot contain 9 or 8; 100 is the first greater number using only allowed digits.

Constraints

1 <= n < 2^31 - 1.
The result, when it exists, is at most 2^31 - 1.
Leading zeroes are not part of a decimal representation.