CF1270B.Interesting Subarray

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时间限制:2.00s

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题目描述

For an array aa of integers let's denote its maximal element as max⁡(a)\max(a), and minimal as min⁡(a)\min(a). We will call an array aa of kk integers interesting if max⁡(a)−min⁡(a)≥k\max(a) - \min(a) \ge k. For example, array [1,3,4,3][1, 3, 4, 3] isn't interesting as max⁡(a)−min⁡(a)=4−1=3<4\max(a) - \min(a) = 4 - 1 = 3 \lt 4 while array [7,3,0,4,3][7, 3, 0, 4, 3] is as max⁡(a)−min⁡(a)=7−0=7≥5\max(a) - \min(a) = 7 - 0 = 7 \ge 5.

You are given an array aa of nn integers. Find some interesting nonempty subarray of aa, or tell that it doesn't exist.

An array bb is a subarray of an array aa if bb can be obtained from aa by deletion of several (possibly, zero or all) elements from the beginning and several (possibly, zero or all) elements from the end. In particular, an array is a subarray of itself.

对于一个整数数组 aa,我们用 max⁡(a)\max(a) 表示其最大值,min⁡(a)\min(a) 表示其最小值。若一个包含 kk 个整数的数组 aa 满足 max⁡(a)−min⁡(a)≥k\max(a) - \min(a) \ge k,则称该数组为有趣的。例如,数组 [1,3,4,3][1, 3, 4, 3] 不是有趣的,因为 max⁡(a)−min⁡(a)=4−1=3<4\max(a) - \min(a) = 4 - 1 = 3 \lt 4;而数组 [7,3,0,4,3][7, 3, 0, 4, 3] 是有趣的,因为 max⁡(a)−min⁡(a)=7−0=7≥5\max(a) - \min(a) = 7 - 0 = 7 \ge 5。

给定一个长度为 nn 的整数数组 aa,请找出 aa 的一个非空有趣子数组;若不存在,则说明不存在。

数组 bb 是数组 aa 的一个子数组,当且仅当 bb 可通过从 aa 的开头删除若干(可能为零或全部)元素、并从 aa 的末尾删除若干(可能为零或全部)元素得到。特别地,一个数组是其自身的子数组。

输入格式

The first line contains integer number tt (1≤t≤10 0001 \le t \le 10\,000). Then tt test cases follow.

The first line of each test case contains a single integer nn (2≤n≤2⋅1052\le n \le 2\cdot 10^5) — the length of the array.

The second line of each test case contains nn integers a1,a2,…,ana_1, a_2, \dots, a_n (0≤ai≤1090\le a_i \le 10^9) — the elements of the array.

It is guaranteed that the sum of nn over all test cases does not exceed 2⋅1052 \cdot 10^5.

第一行包含一个整数 tt(1≤t≤10 0001 \le t \le 10\,000)。随后是 tt 组测试数据。

每组测试数据的第一行包含一个整数 nn(2≤n≤2⋅1052\le n \le 2\cdot 10^5)—— 数组的长度。

每组测试数据的第二行包含 nn 个整数 a1,a2,…,ana_1, a_2, \dots, a_n(0≤ai≤1090\le a_i \le 10^9)—— 数组的元素。

保证所有测试数据的 nn 之和不超过 2⋅1052 \cdot 10^5。

输出格式

For each test case, output "NO" in a separate line if there is no interesting nonempty subarray in aa.

Otherwise, output "YES" in a separate line. In the next line, output two integers ll and rr (1≤l≤r≤n1\le l \le r \le n) — bounds of the chosen subarray. If there are multiple answers, print any.

You can print each letter in any case (upper or lower).

对于每个测试用例,如果数组 aa 中不存在有趣的非空子数组,则在单独一行中输出 "NO"。

否则,在单独一行中输出 "YES";在下一行中输出两个整数 ll 和 rr(1≤l≤r≤n1\le l \le r \le n),表示所选子数组的边界。若存在多个答案,输出任意一个即可。

你可以以任意大小写(大写或小写)输出每个字母。

输入输出样例

  • 输入#1

    3
    5
    1 2 3 4 5
    4
    2 0 1 9
    2
    2019 2020

    输出#1

    NO
    YES
    1 4
    NO

说明/提示

In the second test case of the example, one of the interesting subarrays is a=[2,0,1,9]a = [2, 0, 1, 9]: max⁡(a)−min⁡(a)=9−0=9≥4\max(a) - \min(a) = 9 - 0 = 9 \ge 4.

在示例的第二个测试用例中,一个有趣的子数组是 a=[2,0,1,9]a = [2, 0, 1, 9]:max⁡(a)−min⁡(a)=9−0=9≥4\max(a) - \min(a) = 9 - 0 = 9 \ge 4。

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