Leetcode #1296: Divide Array in Sets of K Consecutive Numbers
In this guide, we solve Leetcode #1296 Divide Array in Sets of K Consecutive Numbers in Python and focus on the core idea that makes the solution efficient.
You will see the intuition, the step-by-step method, and a clean Python implementation you can use in interviews.
Problem Statement
Given an array of integers nums and a positive integer k, check whether it is possible to divide this array into sets of k consecutive numbers. Return true if it is possible.
Quick Facts
- Difficulty: Medium
- Premium: No
- Tags: Greedy, Array, Hash Table, Sorting
Intuition
Fast membership checks and value lookups are the heart of this problem, which makes a hash map the natural choice.
By storing what we have already seen (or counts/indexes), we can answer the question in one pass without backtracking.
Approach
Scan the input once, using the map to detect when the condition is satisfied and to update state as you go.
This keeps the solution linear while remaining easy to explain in an interview setting.
Steps:
- Initialize a hash map for seen items or counts.
- Iterate through the input, querying/updating the map.
- Return the first valid result or the final computed value.
Example
Input: nums = [1,2,3,3,4,4,5,6], k = 4
Output: true
Explanation: Array can be divided into [1,2,3,4] and [3,4,5,6].
Python Solution
class Solution:
def isPossibleDivide(self, nums: List[int], k: int) -> bool:
if len(nums) % k:
return False
cnt = Counter(nums)
for x in sorted(nums):
if cnt[x]:
for y in range(x, x + k):
if cnt[y] == 0:
return False
cnt[y] -= 1
return True
Complexity
The time complexity is , and the space complexity is . The space complexity is .
Edge Cases and Pitfalls
Watch for boundary values, empty inputs, and duplicate values where applicable. If the problem involves ordering or constraints, confirm the invariant is preserved at every step.
Summary
This Python solution focuses on the essential structure of the problem and keeps the implementation interview-friendly while meeting the constraints.