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
Constraints:
The length of the array is in range [1, 20,000].
The range of numbers in the array is [-1000, 1000] and the range of the integer k is [-1e7, 1e7].
Solution:
Time: O(n^2)
class Solution { public int subarraySum(int[] nums, int k) { int n = nums.length; for (int i = 1; i < n; i ++) { nums[i] = nums[i - 1] + nums[i]; } int count = 0; for (int j = 0; j < n; j ++) { for (int i = -1; i < j; i ++) { int iVal = i == -1 ? 0 : nums[i]; if (nums[j] - iVal == k) { count ++; } } } return count; } }
Time: O(n)
class Solution {
public int subarraySum(int[] nums, int k) {
int n = nums.length;
Map<Integer, Integer> preSum = new HashMap<>();
preSum.put(0, 1);
int sum = 0;
int result = 0;
for (int i = 0; i < n; i ++) {
sum += nums[i];
if (preSum.containsKey(sum - k)) {
result += preSum.get(sum - k);
}
preSum.put(sum, preSum.getOrDefault(sum, 0) + 1);
}
return result;
}
}