CF1821B.Sort the Subarray

普及-

通过率:0%

时间限制:2.00s

内存限制:512MB

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题目描述

Monocarp had an array aa consisting of nn integers. He has decided to choose two integers ll and rr such that 1≤l≤r≤n1 \le l \le r \le n, and then sort the subarray a[l..r]a[l..r] (the subarray a[l..r]a[l..r] is the part of the array aa containing the elements al,al+1,al+2,…,ar−1,ara_l, a_{l+1}, a_{l+2}, \dots, a_{r-1}, a_r) in non-descending order. After sorting the subarray, Monocarp has obtained a new array, which we denote as a′a'.

For example, if a=[6,7,3,4,4,6,5]a = [6, 7, 3, 4, 4, 6, 5], and Monocarp has chosen l=2,r=5l = 2, r = 5, then a′=[6,3,4,4,7,6,5]a' = [6, 3, 4, 4, 7, 6, 5].

You are given the arrays aa and a′a'. Find the integers ll and rr that Monocarp could have chosen. If there are multiple pairs of values (l,r)(l, r), find the one which corresponds to the longest subarray.

Monocarp 原本有一个由 nn 个整数组成的数组 aa。他决定选择两个整数 ll 和 rr,满足 1≤l≤r≤n1 \le l \le r \le n,然后将子数组 a[l..r]a[l..r](即数组 aa 中包含元素 al,al+1,al+2,…,ar−1,ara_l, a_{l+1}, a_{l+2}, \dots, a_{r-1}, a_r 的部分)按非降序排序。对该子数组排序后,Monocarp 得到了一个新数组,记作 a′a'。

例如,若 a=[6,7,3,4,4,6,5]a = [6, 7, 3, 4, 4, 6, 5],且 Monocarp 选择了 l=2,r=5l = 2, r = 5,则 a′=[6,3,4,4,7,6,5]a' = [6, 3, 4, 4, 7, 6, 5]。

现给出数组 aa 和 a′a'。请找出 Monocarp 可能选择的整数 ll 和 rr。若存在多组 (l,r)(l, r) 满足条件,请找出对应最长子数组的一组(即使 r−l+1r - l + 1 最大的那组)。

输入格式

The first line contains one integer tt (1≤t≤1041 \le t \le 10^4) — the number of test cases.

Each test case consists of three lines:

  • the first line contains one integer nn (2≤n≤2⋅1052 \le n \le 2 \cdot 10^5);
  • the second line contains nn integers a1,a2,…,ana_1, a_2, \dots, a_n (1≤ai≤n1 \le a_i \le n);
  • the third line contains nn integers a1′,a2′,…,an′a'_1, a'_2, \dots, a'_n (1≤ai′≤n1 \le a'_i \le n).

Additional constraints on the input:

  • the sum of nn over all test cases does not exceed 2⋅1052 \cdot 10^5;
  • it is possible to obtain the array a′a' by sorting one subarray of aa;
  • a′≠aa' \ne a (there exists at least one position in which these two arrays are different).

第一行包含一个整数 tt(1≤t≤1041 \le t \le 10^4)—— 表示测试用例的数量。

每个测试用例由三行组成:

  • 第一行包含一个整数 nn(2≤n≤2⋅1052 \le n \le 2 \cdot 10^5);
  • 第二行包含 nn 个整数 a1,a2,…,ana_1, a_2, \dots, a_n(1≤ai≤n1 \le a_i \le n);
  • 第三行包含 nn 个整数 a1′,a2′,…,an′a'_1, a'_2, \dots, a'_n(1≤ai′≤n1 \le a'_i \le n)。

输入的额外约束条件:

  • 所有测试用例的 nn 值之和不超过 2⋅1052 \cdot 10^5;
  • 数组 a′a' 可通过将数组 aa 的某一个子数组排序后得到;
  • a′≠aa' \ne a(即这两个数组至少在一个位置上的元素不同)。

输出格式

For each test case, print two integers — the values of ll and rr (1≤l≤r≤n1 \le l \le r \le n). If there are multiple answers, print the values that correspond to the longest subarray. If there are still multiple answers, print any of them.

对于每个测试用例,输出两个整数——ll 和 rr 的值(满足 1≤l≤r≤n1 \le l \le r \le n)。如果存在多个答案,输出对应最长子数组的 ll 和 rr。如果仍存在多个答案,输出其中任意一组即可。

输入输出样例

  • 输入#1

    3
    7
    6 7 3 4 4 6 5
    6 3 4 4 7 6 5
    3
    1 2 1
    1 1 2
    3
    2 2 1
    2 1 2

    输出#1

    2 5
    1 3
    2 3

输入解题思路,AI测评打分。不知道怎么写?

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