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Java-based LeetCode algorithm problem solutions, regularly updated
package g0801_0900.s0842_split_array_into_fibonacci_sequence;
// #Medium #String #Backtracking #2022_03_24_Time_4_ms_(62.81%)_Space_43.6_MB_(32.65%)
import java.util.ArrayList;
import java.util.List;
/**
* 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.
**/
@SuppressWarnings("java:S5413")
public class Solution {
public List splitIntoFibonacci(String num) {
List res = new ArrayList<>();
solve(num, res, 0);
return res;
}
private boolean solve(String s, List res, int idx) {
if (idx == s.length() && res.size() >= 3) {
return true;
}
for (int i = idx; i < s.length(); i++) {
if (s.charAt(idx) == '0' && i > idx) {
return false;
}
long num = Long.parseLong(s.substring(idx, i + 1));
if (num > Integer.MAX_VALUE) {
return false;
}
int size = res.size();
if (size >= 2 && num > res.get(size - 1) + res.get(size - 2)) {
return false;
}
if (size <= 1 || num == res.get(size - 1) + res.get(size - 2)) {
res.add((int) num);
if (solve(s, res, i + 1)) {
return true;
}
res.remove(res.size() - 1);
}
}
return false;
}
}
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