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g0801_0900.s0842_split_array_into_fibonacci_sequence.readme.md Maven / Gradle / Ivy

842\. Split Array into Fibonacci Sequence

Medium

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] < 231, (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:**

**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.