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# 842. Split Array into Fibonacci Sequence

## Description

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`

, (that is, each integer fits in a^{31}**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:**

Input:num = "1101111"Output:[11,0,11,11]Explanation:The output [110, 1, 111] would also be accepted.

**Example 2:**

Input:num = "112358130"Output:[]Explanation:The task is impossible.

**Example 3:**

Input:num = "0123"Output:[]Explanation:Leading zeroes are not allowed, so "01", "2", "3" is not valid.

**Constraints:**

`1 <= num.length <= 200`

`num`

contains only digits.