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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 = "123456579"
Output: [123,456,579]

Example 2:

Input: num = "11235813"
Output: [1,1,2,3,5,8,13]

Example 3:

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

Example 4:

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

Example 5:

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

 

Constraints:

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

class Solution { public List<Integer> splitIntoFibonacci(String num) { } }