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  • Bound Found POJ

     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
    
    1.好题~~~虽然没做出来!
    2.取数组的前缀和再排序再尺取。
    3.关键在于转换
     1 #include<iostream>
     2 #include<algorithm>
     3 #include<cmath>
     4 #include<cstdio>
     5 #include<cstring>
     6 using namespace std;
     7 
     8 struct node{
     9     int sum,id;
    10     bool operator <(const node& i)const{
    11         return sum<i.sum;
    12     }
    13 }a[100005];
    14 
    15 int n,m;
    16 
    17 void query(int t){
    18     int l=0,r=1,mid=2000000000;     //初始l和r,没有长度为0的区间! 
    19     int ans,ansl,ansr;
    20     while(r<=n){
    21         int temp=a[r].sum-a[l].sum;
    22         if(abs(temp-t)<mid){
    23             mid=abs(temp-t);
    24             ans=temp;
    25             ansl=a[l].id;
    26             ansr=a[r].id;
    27         }
    28         if(temp>t) l++;
    29         else if(temp<t) r++;
    30         else break;
    31         if(l==r) r++;
    32     }
    33     if(ansl>ansr) swap(ansl,ansr);
    34     printf("%d %d %d
    ",ans,ansl+1,ansr);
    35 }
    36 
    37 int main()
    38 {    int x;
    39      while(~scanf("%d%d",&n,&m),n||m){
    40         a[0].id=0,a[0].sum=0;
    41         for(int i=1;i<=n;i++){
    42             scanf("%d",&x);
    43             a[i].sum=a[i-1].sum+x;
    44             a[i].id=i;
    45         }
    46         sort(a,a+n+1);   //一定要包括a[0]!
    47         while(m--){
    48             int q;scanf("%d",&q);
    49             query(q);
    50         }
    51     }
    52     return 0;
    53 }
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  • 原文地址:https://www.cnblogs.com/zgglj-com/p/6835821.html
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