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659. Split Array into Consecutive Subsequences

You are given an integer array nums that is sorted in non-decreasing order.

Determine if it is possible to split nums into one or more subsequences such that both of the following conditions are true:

  • Each subsequence is a consecutive increasing sequence (i.e. each integer is exactly one more than the previous integer).
  • All subsequences have a length of 3 or more.

Return true if you can split nums according to the above conditions, or false otherwise.

A subsequence of an array is a new array that is formed from the original array by deleting some (can be none) of the elements without disturbing the relative positions of the remaining elements. (i.e., [1,3,5] is a subsequence of [1,2,3,4,5] while [1,3,2] is not).

Example 1:

Input: nums = [1,2,3,3,4,5]
Output: true
Explanation: nums can be split into the following subsequences:
[1,2,3,3,4,5] --> 1, 2, 3
[1,2,3,3,4,5] --> 3, 4, 5

Example 2:

Input: nums = [1,2,3,3,4,4,5,5]
Output: true
Explanation: nums can be split into the following subsequences:
[1,2,3,3,4,4,5,5] --> 1, 2, 3, 4, 5
[1,2,3,3,4,4,5,5] --> 3, 4, 5

Example 3:

Input: nums = [1,2,3,4,4,5]
Output: false
Explanation: It is impossible to split nums into consecutive increasing subsequences of length 3 or more.

Constraints:

  • 1 <= nums.length <= 104
  • -1000 <= nums[i] <= 1000
  • nums is sorted in non-decreasing order.

Solutions (Rust)

1. Solution

use std::collections::HashMap;

impl Solution {
    pub fn is_possible(nums: Vec<i32>) -> bool {
        let mut count = HashMap::new();

        for &num in &nums {
            let (a, b, c) = *count.get(&(num - 1)).unwrap_or(&(0, 0, 0));
            let (d, e, f) = *count.get(&num).unwrap_or(&(0, 0, 0));

            if a > 0 {
                count.insert(num - 1, (a - 1, b, c));
                count.insert(num, (d, e + 1, f));
            } else if b > 0 {
                count.insert(num - 1, (a, b - 1, c));
                count.insert(num, (d, e, f + 1));
            } else if c > 0 {
                count.insert(num - 1, (a, b, c - 1));
                count.insert(num, (d, e, f + 1));
            } else {
                count.insert(num, (d + 1, e, f));
            }
        }

        count.values().all(|&(a, b, _)| a | b == 0)
    }
}