Sliding Window Maximum

题目

Sliding Window Maximum

A long array A[] is given to you. There is a sliding window of size w which is moving from the very left of the array to the very right. You can only see the w numbers in the window. Each time the sliding window moves rightwards by one position. Following is an example:
The array is [5 4 3 4 4], and w is 3. The output is [5 4 5]

[5 4 3] 4 4: 5
5 [4 3 4] 4: 4
5 4 [3 4 4]: 4

Input: A long array A[], and a window width w
Output: An array B[], B[i] is the maximum value of from A[i] to A[i+w-1]
Requirement: Find a good optimal way to get B[i]

解法 O(N)

class Element {int value;int index;
}
每次移动window {//将window内的新元素放入maxheap，同时要保存每个元素在数组中的位置;maxheap.push(new Element(value, index));while(true) {Element element = maxheap.peek();if ( element.index在window内 ) {print element.value;break;}else maxheap.pop();}
}

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