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
, andf[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.class Solution {
fun splitIntoFibonacci(num: String): List<Int> {
val res: MutableList<Int> = ArrayList()
solve(num, res, 0)
return res
}
private fun solve(s: String, res: MutableList<Int>, idx: Int): Boolean {
if (idx == s.length && res.size >= 3) {
return true
}
for (i in idx until s.length) {
if (s[idx] == '0' && i > idx) {
return false
}
val num = s.substring(idx, i + 1).toLong()
if (num > Int.MAX_VALUE) {
return false
}
val size = res.size
if (size >= 2 && num > res[size - 1] + res[size - 2]) {
return false
}
if (size <= 1 || num == (res[size - 1] + res[size - 2]).toLong()) {
res.add(num.toInt())
if (solve(s, res, i + 1)) {
return true
}
res.removeAt(res.size - 1)
}
}
return false
}
}