CF1883F.You Are So Beautiful

普及/提高-

通过率:0%

时间限制:1.00s

内存限制:256MB

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题目描述

You are given an array of integers a1,a2,…,ana_1, a_2, \ldots, a_n. Calculate the number of subarrays of this array 1≤l≤r≤n1 \leq l \leq r \leq n, such that:

  • The array b=[al,al+1,…,ar]b = [a_l, a_{l+1}, \ldots, a_r] occurs in the array aa as a subsequence exactly once. In other words, there is exactly one way to select a set of indices 1≤i1<i2<…<ir−l+1≤n1 \leq i_1 \lt i_2 \lt \ldots \lt i_{r - l + 1} \leq n, such that bj=aijb_j = a_{i_j} for all 1≤j≤r−l+11 \leq j \leq r - l + 1.

给你一个整数数组 a1,a2,…,ana_1, a_2, \ldots, a_n。请计算该数组中满足如下条件的子数组 1≤l≤r≤n1 \leq l \leq r \leq n 的数量:

  • 数组 b=[al,al+1,…,ar]b = [a_l, a_{l+1}, \ldots, a_r] 在数组 aa 中作为子序列恰好出现一次。换言之,恰好存在唯一一组下标 1≤i1<i2<…<ir−l+1≤n1 \leq i_1 \lt i_2 \lt \ldots \lt i_{r - l + 1} \leq n,使得对所有 1≤j≤r−l+11 \leq j \leq r - l + 1 均有 bj=aijb_j = a_{i_j}。

输入格式

Each test consists of multiple test cases. The first line contains a single integer tt (1≤t≤1041 \leq t \leq 10^4) — the number of test cases. This is followed by their description.

The first line of each test case contains an integer nn (1≤n≤1051 \leq n \leq 10^5) — the size of the array aa.

The second line of each test case contains nn integers a1,a2,…,ana_1, a_2, \ldots, a_n (1≤ai≤1091 \leq a_i \leq 10^9).

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

每个测试包含多个测试用例。第一行包含一个整数 tt(1≤t≤1041 \leq t \leq 10^4),表示测试用例的数量。随后是各测试用例的描述。

每个测试用例的第一行包含一个整数 nn(1≤n≤1051 \leq n \leq 10^5),表示数组 aa 的大小。

每个测试用例的第二行包含 nn 个整数 a1,a2,…,ana_1, a_2, \ldots, a_n(1≤ai≤1091 \leq a_i \leq 10^9)。

保证所有测试用例的 nn 之和不超过 2⋅1052 \cdot 10^5。

输出格式

For each test case, output the number of suitable subarrays.

对于每个测试用例,输出符合条件的子数组的数量。

输入输出样例

  • 输入#1

    6
    1
    1
    2
    1 1
    3
    1 2 1
    4
    2 3 2 1
    5
    4 5 4 5 4
    10
    1 7 7 2 3 4 3 2 1 100

    输出#1

    1
    1
    4
    7
    4
    28

说明/提示

In the first test case, there is exactly one subarray (1,1)(1, 1) that suits us.

In the second test case, there is exactly one subarray (1,2)(1, 2) that suits us. Subarrays (1,1)(1, 1) and (2,2)(2, 2) do not suit us, as the subsequence [1][1] occurs twice in the array.

In the third test case, all subarrays except (1,1)(1, 1) and (3,3)(3, 3) are suitable.

在第一个测试用例中,恰好有一个满足条件的子数组 (1,1)(1, 1)。

在第二个测试用例中,恰好有一个满足条件的子数组 (1,2)(1, 2)。子数组 (1,1)(1, 1) 和 (2,2)(2, 2) 不满足条件,因为子序列 [1][1] 在数组中出现了两次。

在第三个测试用例中,除 (1,1)(1, 1) 和 (3,3)(3, 3) 外,其余所有子数组均满足条件。

输入解题思路,AI测评打分。不知道怎么写?

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