560. Subarray Sum Equals K
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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:
- 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].
方法1:双层遍历
。。。
方法2:利用哈希表加一点数学推导
class Solution { public: int subarraySum(vector<int>& nums, int k) { int n = nums.size(); if (n == 0) return 0; unordered_map<int, int>sum_fre; sum_fre[0] = 1; int sum = 0; int res = 0; for (auto num: nums) { sum += num; // k = sum[0, j] - sum[0, i - 1] ===> sum[0, j] - k 其中i-1 < j; // 遍历一遍,将所有的sum[0, j]存起来。若在哈希表中发现之前有满足上边式子的,则得到一个满足要求的连续序列 if (sum_fre.find(sum - k) != sum_fre.end()) res += sum_fre[sum - k]; sum_fre[sum]++; } return res; } };
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