[問題] Google Interview Question (4)

作者: RockLee (Now of all times)   2013-03-04 18:51:13
原始網址:
http://www.careercup.com/question?id=248673
題目:
Given a document and a query of K words,
how do you find the smallest window that covers all the words at least once
in that document?
(given you know the inverted lists of all K words, that is, for each word,
you have a list of all its occurrrences).
Could someone propose an algorithm in O(n)?
假設 occurrrences lists 是 sorted, 用 TreeMap 應可在 O(N*logK) 解決,
一開始將每個 occurrrences list 最小的丟入 TreeMap 就可得到第一個 window,
(key = index in the document, value = the occurrrences list it belonged & its
index in that occurrrences list),
之後將 TreeMap 最小的移除並加入同一個 occurrrences list 的下一個即可移動
window,
直到任一個 occurrrences list 耗完.
但要在 O(N) 的時間內解決就想不出來了...
不知道板上有沒有人有什麼 idea?
作者: isnoneval (虛物之海)   2013-03-05 15:26:00
這樣移動 window 的時候並不會保證變小吧
作者: RockLee (Now of all times)   2013-03-05 18:08:00
是的,最小的 window 不見得是最後的 window我會回移動過程中看到的最小 window
作者: Favonia (00010110110001101010100)   2013-03-06 22:24:00
全塞到一個陣列可以嗎? http://hpaste.org/83586啊我不小心假設文件中只有這幾個字。sorry
作者: seanwu (海恩)   2013-03-07 01:13:00
話說樓上的第30行是不是應該是 max x cur-1 啊(?)覺得頭往後跑但尾不動有點奇怪
作者: Favonia (00010110110001101010100)   2013-03-07 11:11:00
對耶 lol 打錯了

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