Split Array into Fibonacci Sequence

You are given a string of digits num, such as "123456579". We can split it into a Fibonacci-like sequence [123, 456, 579].

Formally, a Fibonacci-like sequence is a list f of non-negative integers such that:

  • 0 <= f[i] < 2^31 (that is, each integer fits in a 32-bit signed integer type),
  • f.length >= 3, and
  • f[i] + f[i + 1] == f[i + 2] for all 0 <= i < f.length - 2.

Note that when splitting the string into pieces, each piece must not have extra leading zeroes, except if the piece is the number 0 itself.

Return any Fibonacci-like sequence split from num, or return [] if it cannot be done.

Example 1
Inputnum = "1101111"
Output[11,0,11,11]
The output [110, 1, 111] would also be accepted.
Example 2
Inputnum = "112358130"
Output[]
The task is impossible.

Constraints

  • 1 <= num.length <= 200
  • num contains only digits.

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