Mid/SeniorMath

Convert to Base -2

Given an integer n, return a binary string representing its representation in base -2.

Note that the returned string should not have leading zeros unless the string is "0".

Example 1
Inputn = 2
Output"110"
(-2)^2 + (-2)^1 = 2.
Example 2
Inputn = 3
Output"111"
(-2)^2 + (-2)^1 + (-2)^0 = 3.

Constraints

  • 0 <= n <= 10^9

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