Sunday, February 17, 2019

523. 560, Continuous Subarray Sum, Subarray Sum Equals K

523Continuous Subarray Sum
Given a list of non-negative numbers and a target integer k, write a function to check if the array has a continuous subarray of size at least 2 that sums up to the multiple of k, that is, sums up to n*k where n is also an integer.
Example 1:
Input: [23, 2, 4, 6, 7],  k=6
Output: True
Explanation: Because [2, 4] is a continuous subarray of size 2 and sums up to 6.
Example 2:
Input: [23, 2, 6, 4, 7],  k=6
Output: True
Explanation: Because [23, 2, 6, 4, 7] is an continuous subarray of size 5 and sums up to 42.
Note:
  1. The length of the array won't exceed 10,000.
  2. You may assume the sum of all the numbers is in the range of a signed 32-bit integer.
-----------------
(sum - preSum) % k = 0
=>
sum % k = preSum % k

所以set里面要存的是sum % k,
class Solution {
    public boolean checkSubarraySum(int[] nums, int k) {
        if (nums == null || nums.length < 2) return false; 
        if (checkZeros(nums)) return true;
        if (k == 0) return false;
        
        int sum = nums[0];
        Set<Integer> set = new HashSet<>();
        set.add(0);
        set.add(sum);
        
        for (int i = 1; i < nums.length; i++) {
            sum += nums[i];
            sum %= k;
            if (set.contains(sum)) {
                return true;
            }
            set.add(sum);
        }
        
        return false;
    }
    
    private boolean checkZeros(int[] nums) {
        for (int i = 1; i < nums.length; i++) {
            if (nums[i] == 0 && nums[i - 1] == 0) return true;
        }
        
        return false;
    }
}


560Subarray Sum Equals K
Given an array of integers and an integer k, you need to find the total number of continuous subarrays whose sum equals to k.
Example 1:
Input:nums = [1,1,1], k = 2
Output: 2
Note:
  1. The length of the array is in range [1, 20,000].
  2. The range of numbers in the array is [-1000, 1000] and the range of the integer k is [-1e7, 1e7].
---------------
class Solution {
    public int subarraySum(int[] nums, int k) {
        Map<Integer, Integer> map = new HashMap<>();
        map.put(0,1);
        int sum = 0;
        int rt = 0;
        
        for (int i = 0; i < nums.length; i++) {
            sum += nums[i];
            if (map.containsKey(sum - k)) rt += map.get(sum - k);
            map.put(sum, map.getOrDefault(sum, 0) + 1);
        }
        
        return rt;
    }
}

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