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84 changes: 84 additions & 0 deletions solutions/480. Sliding Window Median/480.java
Original file line number Diff line number Diff line change
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class Solution {
class DualHeap {
TreeMap<Integer, Integer> small = new TreeMap<>(Collections.reverseOrder());
TreeMap<Integer, Integer> large = new TreeMap<>();
int k;
int smallSize = 0, largeSize = 0;

public DualHeap(int k) {
this.k = k;
}

public void insert(int num) {
if (small.isEmpty() || num <= small.firstKey()) {
small.put(num, small.getOrDefault(num, 0) + 1);
smallSize++;
} else {
large.put(num, large.getOrDefault(num, 0) + 1);
largeSize++;
}
balance();
}

public void erase(int num) {
if (small.containsKey(num)) {
small.put(num, small.get(num) - 1);
if (small.get(num) == 0) small.remove(num);
smallSize--;
} else {
large.put(num, large.get(num) - 1);
if (large.get(num) == 0) large.remove(num);
largeSize--;
}
balance();
}

private void balance() {

if (smallSize > largeSize + 1) {
int move = small.firstKey();
small.put(move, small.get(move) - 1);
if (small.get(move) == 0) small.remove(move);
smallSize--;

large.put(move, large.getOrDefault(move, 0) + 1);
largeSize++;
} else if (largeSize > smallSize) {
int move = large.firstKey();
large.put(move, large.get(move) - 1);
if (large.get(move) == 0) large.remove(move);
largeSize--;

small.put(move, small.getOrDefault(move, 0) + 1);
smallSize++;
}
}

public double getMedian() {
if (k % 2 == 1) {
return small.firstKey();
} else {
return ((long) small.firstKey() + (long) large.firstKey()) / 2.0;
}
}
}

public double[] medianSlidingWindow(int[] nums, int k) {
int n = nums.length;
double[] result = new double[n - k + 1];

DualHeap dh = new DualHeap(k);
for (int i = 0; i < k; i++) {
dh.insert(nums[i]);
}
result[0] = dh.getMedian();

for (int i = k; i < n; i++) {
dh.insert(nums[i]);
dh.erase(nums[i - k]);
result[i - k + 1] = dh.getMedian();
}

return result;
}
}