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Partitioning Into Minimum Number Of Deci-Binary Numbers

Medium

A decimal number is called deci-binary if each of its digits is either 0 or 1 without any leading zeros.

For example, 101 and 1100 are deci-binary, while 112 and 3001 are not.

You receive a string n that represents a positive decimal integer, provide the minimum count of positive deci-binary numbers needed so that they sum up to n.

Example 1

Input: n = "32"

Output: 3

Explanation: 10 + 11 + 11 = 32

Example 2

Input: n = "82734"

Output: 8

Example 3

Input: n = "27346209830709182346"

Output: 9

Constraints

  • 1 <= n.length <= 10^5
  • n consists of only digits.
  • n does not contain any leading zeros and represents a positive integer.

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