Medium
Stable Subarrays With Equal Boundary and Interior Sum — C++
Full explanation · Time O(n) · Space O(n)
// Time: O(n)
// Space: O(n)
// freq table, prefix sum
class Solution {
public:
long long countStableSubarrays(vector<int>& capacity) {
static const int L = 3;
int64_t result = 0;
unordered_map<int, unordered_map<int64_t, int>> cnt;
for (int64_t i = 0, prefix = 0, prefix2 = 0; i < size(capacity); ++i) {
result += cnt[capacity[i]][prefix - capacity[i]];
prefix += capacity[i];
if ((i + 1) - L + 1 >= 0) {
prefix2 += capacity[(i + 1) - L + 1];
++cnt[capacity[(i + 1) - L + 1]][prefix2];
}
}
return result;
}
};
// Time: O(n)
// Space: O(n)
// freq table, prefix sum
class Solution2 {
public:
long long countStableSubarrays(vector<int>& capacity) {
int64_t result = 0;
unordered_map<int, unordered_map<int64_t, int>> cnt;
for (int64_t i = 0, prefix = 0; i < size(capacity); ++i) {
result += cnt[capacity[i]][prefix - capacity[i]];
prefix += capacity[i];
++cnt[capacity[i]][prefix];
if (capacity[i] == 0 && i - 1 >= 0 && capacity[i - 1] == 0) {
--result;
}
}
return result;
}
};