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35 changes: 35 additions & 0 deletions 28 September Longest Bounded-Difference Subarray
Original file line number Diff line number Diff line change
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class Solution {
public:
vector<int> longestSubarray(vector<int>& arr, int x) {
int n = arr.size();
deque<int> minDq, maxDq; // store indices
int l = 0, bestLen = 0, bestStart = 0;

for (int r = 0; r < n; r++) {
// Maintain min deque (increasing order)
while (!minDq.empty() && arr[minDq.back()] >= arr[r])
minDq.pop_back();
minDq.push_back(r);

// Maintain max deque (decreasing order)
while (!maxDq.empty() && arr[maxDq.back()] <= arr[r])
maxDq.pop_back();
maxDq.push_back(r);

// If window invalid, shrink from left
while (arr[maxDq.front()] - arr[minDq.front()] > x) {
if (minDq.front() == l) minDq.pop_front();
if (maxDq.front() == l) maxDq.pop_front();
l++;
}

// Update best window
if (r - l + 1 > bestLen) {
bestLen = r - l + 1;
bestStart = l;
}
}

return vector<int>(arr.begin() + bestStart, arr.begin() + bestStart + bestLen);
}
};
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