# 659. Split Array into Consecutive Subsequences

#### Medium

***

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).

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**Example 1:**

<pre><code>Input: nums = [1,2,3,3,4,5]
<strong>Output:
</strong> true
<strong>Explanation:
</strong> 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
</code></pre>

**Example 2:**

<pre><code>Input: nums = [1,2,3,3,4,4,5,5]
<strong>Output:
</strong> true
<strong>Explanation:
</strong> 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
</code></pre>

**Example 3:**

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

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**Constraints:**

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

```
// Some code
```
