5443: Sign on Fence
内存限制：256 MB
时间限制：2 S
题面：传统
评测方式：文本比较
上传者：
提交：1
通过：1
题目描述
E. Sign on Fence
time limit per test
4 seconds
memory limit per test
256 megabytes
input
standard input
output
standard output
Bizon the Champion has recently finished painting his wood fence. The fence consists of a sequence of n panels of 1 meter width and of arbitrary height. The i-th panel's height is hi meters. The adjacent planks follow without a gap between them.
After Bizon painted the fence he decided to put a "for sale" sign on it. The sign will be drawn on a rectangular piece of paper and placed on the fence so that the sides of the sign are parallel to the fence panels and are also aligned with the edges of some panels. Bizon the Champion introduced the following constraints for the sign position:
You are given the description of the fence and several queries for placing sign. For each query print the maximum possible height of the sign that can be placed on the corresponding segment of the fence with the given fixed width of the sign.
After Bizon painted the fence he decided to put a "for sale" sign on it. The sign will be drawn on a rectangular piece of paper and placed on the fence so that the sides of the sign are parallel to the fence panels and are also aligned with the edges of some panels. Bizon the Champion introduced the following constraints for the sign position:
- The width of the sign should be exactly w meters.
- The sign must fit into the segment of the fence from the l-th to the r-th panels, inclusive (also, it can't exceed the fence's bound in vertical direction).
You are given the desc
Input
The first line of the input contains integer n− the number of panels in the fence (1≤n≤105). The second line contains n space-separated integers hi,− the heights of the panels (1≤hi≤109).
The third line contains an integer m− the number of the queries (1≤m≤105).
The next m lines contain the desc
Output
For each query print the answer on a separate line− the maximum height of the sign that can be put in the corresponding segment of the fence with all the conditions being satisfied.
Examples
Input
5 1 2 2 3 3 3 2 5 3 2 5 2 1 5 5
Output
2 3 1
Note
The fence described in the sample looks as follows: 
The possible positions for the signs for all queries are given below. 
The optimal position of the sign for the first query.
The optimal position of the sign for the second query.
The optimal position of the sign for the third query.
输入样例 复制
输出样例 复制