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[10/26] 523. Continuous Subarray Sum

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Given an integer array nums and an integer k, return true if nums has a continuous subarray of size at least two whose elements sum up to a multiple of k, or false otherwise.

An integer x is a multiple of k if there exists an integer n such that x = n * k0 is always a multiple of k.

 

Example 1:

Input: nums = [23,2,4,6,7], k = 6
Output: true
Explanation: [2, 4] is a continuous subarray of size 2 whose elements sum up to 6.

Example 2:

Input: nums = [23,2,6,4,7], k = 6
Output: true
Explanation: [23, 2, 6, 4, 7] is an continuous subarray of size 5 whose elements sum up to 42.
42 is a multiple of 6 because 42 = 7 * 6 and 7 is an integer.

Example 3:

Input: nums = [23,2,6,4,7], k = 13
Output: false

 

Constraints:

  • 1 <= nums.length <= 105
  • 0 <= nums[i] <= 109
  • 0 <= sum(nums[i]) <= 231 - 1
  • 1 <= k <= 231 - 1
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Runtime: 1064 ms, faster than 91.09% of Python3 online submissions for Continuous Subarray Sum.
Memory Usage: 34 MB, less than 10.30% of Python3 online submissions for Continuous Subarray Sum.
class Solution:
    def checkSubarraySum(self, nums: List[int], k: int) -> bool:
        dic = {0:-1}
        
        modsum = 0
        
        for idx, num in enumerate(nums):
            modsum = (modsum + num)%k
            
            if modsum not in dic:
                dic[modsum] = idx
                
            elif idx - dic[modsum] >= 2:
                return True
        
        return False
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