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
看别人说尺取适用于有单调性的问题,这个不可以直接用,想了半天,可能单调性说的是对于一个序列的和,如果左端点不动,右端点向右移动,那么和就一定会增加的,符合单调递增的特性。而这里可能减少,所以这道题不符合单调性。
如果要创造递增序列,可以把前缀和进行排序,这样左端点不动的情况下,右端点向右的过程中区间和一定会增加了。注意一下前缀和end和start不重合。
using namespace std;
typedef long long ll;
ll func(ll x)
{
return x>0?x:-x;
}
pair<int, int> q[100010];
int main()
{
int n, k;
while (scanf("%d%d", &n, &k)!=EOF){
if (n==0 && k==0) break;
q[0]=make_pair(0, 0);
for (int i=1; i<=n; i++){
int x;
scanf("%d", &x);
q[i]=make_pair(q[i-1].first+x, i);
}
sort(q, q+n+1);
while (k--){
ll t;
scanf("%lld", &t);
ll sum=0, ans;
int minn=0x3f3f3f3f;
int start=0, end=1;
int l, r;
while (end<=n){
ll tt=q[end].first-q[start].first;
if (func(tt-t)<minn){
minn=func(tt-t);
ans=tt;
l=q[start].second;
r=q[end].second;
}
if (tt>t) start++;
else if (tt<t) end++;
else break;
if (start==end) end++;
}
if (l>r) swap(l, r);
printf("%lld %d %d\n", ans, l+1, r);
}
}
return 0;
}