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, andf[i] + f[i + 1] == f[i + 2]for all0 <= 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]The output [110, 1, 111] would also be accepted.
Example 2
Input
num = "112358130"Output
[]The task is impossible.
Constraints
- 1 <= num.length <= 200
- num contains only digits.