POJ 2566

Bound Found

Time Limit: 5000MS		Memory Limit: 65536K
Total Submissions: 1445		Accepted: 487		Special Judge

Description

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

Source

Ulm Local 2001

 

按前缀和排序，尺取法解决

#include <iostream>
#include <cstdio>
#include <cstring>
#include <algorithm>
#include <cmath>

using namespace std;

#define maxn 100005
#define INF 2000000000

typedef pair<int,int> pii;

int n,k;
pii a[maxn];

int Abs(int x) {
        return x > 0 ? x : -x;
}


void solve(int x) {
        int sum = 0,s = 0,pos = 1,v,ans = INF,l,r;
        //printf("ans = %d\n",ans);
        for(; s <= n && pos <= n;) {
                int tem = a[pos].first - a[s].first;
                //printf("tem = %d\n",tem);
                if( Abs(tem - x) < ans) {
                        ans = Abs(tem - x);
                        l = a[s].second;
                        r = a[pos].second;
                        v = tem;
                }

                if(tem > x) {
                        ++s;
                } else if(tem < x) {
                        ++pos;
                } else {
                        break;
                }
                if(s == pos) ++pos;

        }
        if(l > r) swap(l,r);

        printf("%d %d %d\n",v,l + 1,r);
}



int main() {
       // freopen("sw.in","r",stdin);

        while(~scanf("%d%d",&n,&k) ) {
                if(!n && !k) break;
                int sum = 0;
                a[0] = pii(0,0);
                for(int i = 1; i <= n; ++i) {
                        int ch;
                        scanf("%d",&ch);
                        sum += ch;
                        a[i] = make_pair(sum,i);

                }

                sort(a,a + n + 1);

                for(int i = 1; i <= k; ++i) {
                        int t;
                        scanf("%d",&t);
                        solve(t);
                }

        }
        return 0;
}