Table of Contents
中文版:
给你一个整数数组 nums 和一个正整数 k,请你判断是否可以把这个数组划分成一些由 k 个连续数字组成的集合。
如果可以,请返回 True;否则,返回 False。
示例 1:
输入:nums = [1,2,3,3,4,4,5,6], k = 4
输出:true
解释:数组可以分成 [1,2,3,4] 和 [3,4,5,6]。
示例 2:
输入:nums = [3,2,1,2,3,4,3,4,5,9,10,11], k = 3
输出:true
解释:数组可以分成 [1,2,3] , [2,3,4] , [3,4,5] 和 [9,10,11]。
示例 3:
输入:nums = [3,3,2,2,1,1], k = 3
输出:true
示例 4:
输入:nums = [1,2,3,4], k = 3
输出:false
解释:数组不能分成几个大小为 3 的子数组。
提示:
1 <= nums.length <= 10^5
1 <= nums[i] <= 10^9
1 <= k <= nums.length
英文版:
1296. Divide Array in Sets of K Consecutive Numbers
Given an array of integers nums and a positive integer k, find whether it's possible to divide this array into sets of k consecutive numbers
Return True if its possible ****otherwise return False.
Example 1:
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].
Example 2:
Input: nums = [3,2,1,2,3,4,3,4,5,9,10,11], k = 3
Output: true
Explanation: Array can be divided into [1,2,3] , [2,3,4] , [3,4,5] and [9,10,11].
Example 3:
Input: nums = [3,3,2,2,1,1], k = 3
Output: true
Example 4:
Input: nums = [1,2,3,4], k = 3
Output: false
Explanation: Each array should be divided in subarrays of size 3.
Constraints:
1 <= nums.length <= 10^51 <= nums[i] <= 10^91 <= k <= nums.length
My answer:
class Solution:
def isPossibleDivide(self, nums: List[int], k: int) -> bool:
nums.sort()
_dict = {}
for num in nums:
if num in _dict:
_dict[num] += 1
else:
_dict[num] = 1
for num in nums:
if _dict[num] != 0:
for i in range(k):
if num + i in _dict and _dict[num+i] != 0:
_dict[num+i] -= 1
else:
return False
return True
解题报告:
1、将数组升序排序,这样相同的数会排在一起
2、生成字典,key 是数组 nums 中的数,value 是数出现的个数
3、遍历数组中的数,判断其个数是否为 0:如果不为 0,则再检查从 num 到 num + k - 1 的数是否都存在,若不存在则返回 false。若遍历能进行到最后,返回 true。