**5 人解决**，5 人已尝试。

**7 份提交通过**，共有 13 份提交。

**6.3** EMB 奖励。

**单点时限: **2.0 sec

**内存限制: **256 MB

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.

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, $1 \leq n \leq 100~000,1 \leq k \leq 250$ and there follow $n$ integers with absolute values no greater than $10000$ which constitute the sequence. Then follow $k$ queries for this sequence. Each query is a target $t$ with $0 \leq t \leq 10^9$.

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 $n$.

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

Output

5 4 4 5 2 8 9 1 1 15 1 15 15 1 15

**5 人解决**，5 人已尝试。

**7 份提交通过**，共有 13 份提交。

**6.3** EMB 奖励。

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