842.

Split Array into Fibonacci Sequence

Medium

Given a string S of digits, such as S = "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 - 1, (that is, each integer fits 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. Also, 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 S, or return [] if it cannot be done. Example 1: Input: "123456579" Output: [123,456,579] Example 2: Input: "11235813" Output: [1,1,2,3,5,8,13] Example 3: Input: "112358130" Output: [] Explanation: The task is impossible. Example 4: Input: "0123" Output: [] Explanation: Leading zeroes are not allowed, so "01", "2", "3" is not valid. Example 5: Input: "1101111" Output: [110, 1, 111] Explanation: The output [11, 0, 11, 11] would also be accepted. Note: 1 <= S.length <= 200 S contains only digits.