Bound Found POJ - 2566(尺取法)
Signals of most probably extra-terrestrial origin have been received and digitalized by The Aeronautic and Space Administration (that must be going through a defiant phase: “But I want to use feet, not meters!”). Each signal seems to come in two parts: a sequence of n integer values and a non-negative integer t. We’ll not go into details, but researchers found out that a signal encodes two integer values. These can be found as the lower and upper bound of a subrange of the sequence whose absolute value of its sum is closest to t.
You are given the sequence of n integers and the non-negative target t. You are to find a non-empty range of the sequence (i.e. a continuous subsequence) and output its lower index l and its upper index u. The absolute value of the sum of the values of the sequence from the l-th to the u-th element (inclusive) must be at least as close to t as the absolute value of the sum of any other non-empty range.
Input
The input file contains several test cases. Each test case starts with two numbers n and k. Input is terminated by n=k=0. Otherwise, 1<=n<=100000 and there follow n integers with absolute values <=10000 which constitute the sequence. Then follow k queries for this sequence. Each query is a target t with 0<=t<=1000000000.
Output
For each query output 3 numbers on a line: some closest absolute sum and the lower and upper indices of some range where this absolute sum is achieved. Possible indices start with 1 and go up to n.
Sample Input
5 1
-10 -5 0 5 10
3
10 2
-9 8 -7 6 -5 4 -3 2 -1 0
5 11
15 2
-1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1
15 100
0 0
Sample Output
5 4 4
5 2 8
9 1 1
15 1 15
15 1 15
題意:找出一段連續的序列,使得這個序列的和的絕對值和t的差值最小。輸出這段區間的絕對值和區間的左右端點。
思路:尺取的前提條件就是序列必須是單調的,否則前進和后退根本找不出規律來,就沒有辦法尺取了。但是如果堆這個數組排序的話,就不能保證這是連續的了。我們先把這段序列的前綴和數組求出來,然后將前綴和出現的序列號一同保存下來,按照由小到大排序。這樣序列就是單調的了。然后兩個指針開始尺取,如果當前區間求出的和小于t的話,說明還可以變大一點,那么就r++;如果當前區間求出的和大于t的話,說明還可以變小一點,那么就l++。注意這是前綴和,l和r不能相同。
代碼如下:
尺取就是需要多思考。
努力加油a啊,(o)/~
總結
以上是生活随笔為你收集整理的Bound Found POJ - 2566(尺取法)的全部內容,希望文章能夠幫你解決所遇到的問題。
- 上一篇: Kate and imperfectio
- 下一篇: 2021车辆保险费用测算 2021车险费