New Colony

题意翻译

有 $n$ 座山排成一行，其中第 $i$ 座山的高度为 $h_i$。 从第 $1$ 座山顶开始扔巨石，当巨石在第 $i$ 座山时： - 如果 $h_i\ge h_{i+1}$，巨石会继续滚到第 $i+1$ 座山； - 如果 $h_i< h_{i+1}$，巨石会停止滚动，第 $i$ 座山的高度 $h_i$ 增加 $1$； - 如果 $i$ 是最后一座山，巨石就会掉进垃圾回收系统里消失。 输出第 $k$ 块巨石的最终位置。如果巨石消失了输出 $-1$。 有多组测试数据。

题目描述

After reaching your destination, you want to build a new colony on the new planet. Since this planet has many mountains and the colony must be built on a flat surface you decided to flatten the mountains using boulders (you are still dreaming so this makes sense to you). You are given an array $ h_1, h_2, \dots, h_n $ , where $ h_i $ is the height of the $ i $ -th mountain, and $ k $ — the number of boulders you have. You will start throwing boulders from the top of the first mountain one by one and they will roll as follows (let's assume that the height of the current mountain is $ h_i $ ): - if $ h_i \ge h_{i + 1} $ , the boulder will roll to the next mountain; - if $ h_i < h_{i + 1} $ , the boulder will stop rolling and increase the mountain height by $ 1 $ ( $ h_i = h_i + 1 $ ); - if the boulder reaches the last mountain it will fall to the waste collection system and disappear. You want to find the position of the $ k $ -th boulder or determine that it will fall into the waste collection system.

输入输出格式

输入格式

The first line contains a single integer $ t $ ( $ 1 \le t \le 100 $ ) — the number of test cases. Each test case consists of two lines. The first line in each test case contains two integers $ n $ and $ k $ ( $ 1 \le n \le 100 $ ; $ 1 \le k \le 10^9 $ ) — the number of mountains and the number of boulders. The second line contains $ n $ integers $ h_1, h_2, \dots, h_n $ ( $ 1 \le h_i \le 100 $ ) — the height of the mountains. It is guaranteed that the sum of $ n $ over all test cases does not exceed $ 100 $ .

输出格式

For each test case, print $ -1 $ if the $ k $ -th boulder will fall into the collection system. Otherwise, print the position of the $ k $ -th boulder.

输入输出样例

输入样例 #1

4
4 3
4 1 2 3
2 7
1 8
4 5
4 1 2 3
3 1
5 3 1

输出样例 #1

2
1
-1
-1

说明

Let's simulate the first case: - The first boulder starts at $ i = 1 $ ; since $ h_1 \ge h_2 $ it rolls to $ i = 2 $ and stops there because $ h_2 < h_3 $ . - The new heights are $ [4,2,2,3] $ . - The second boulder starts at $ i = 1 $ ; since $ h_1 \ge h_2 $ the boulder rolls to $ i = 2 $ ; since $ h_2 \ge h_3 $ the boulder rolls to $ i = 3 $ and stops there because $ h_3 < h_4 $ . - The new heights are $ [4,2,3,3] $ . - The third boulder starts at $ i = 1 $ ; since $ h_1 \ge h_2 $ it rolls to $ i = 2 $ and stops there because $ h_2 < h_3 $ . - The new heights are $ [4,3,3,3] $ . The positions where each boulder stopped are the following: $ [2,3,2] $ . In the second case, all $ 7 $ boulders will stop right at the first mountain rising its height from $ 1 $ to $ 8 $ . The third case is similar to the first one but now you'll throw $ 5 $ boulders. The first three will roll in the same way as in the first test case. After that, mountain heights will be equal to $ [4, 3, 3, 3] $ , that's why the other two boulders will fall into the collection system. In the fourth case, the first and only boulders will fall straight into the collection system.