#P1913D. Array Collapse
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ID: 9285
Type: RemoteJudge
2000ms
256MiB
Tried: 0
Accepted: 0
Difficulty: 7
Uploaded By:
Hydro
Tags> Array Collapse
Description
You are given an array $[p_1, p_2, \dots, p_n]$, where all elements are distinct.
You can perform several (possibly zero) operations with it. In one operation, you can choose a contiguous subsegment of $p$ and remove all elements from that subsegment, except for the minimum element on that subsegment. For example, if $p = [3, 1, 4, 7, 5, 2, 6]$ and you choose the subsegment from the $3$-rd element to the $6$-th element, the resulting array is $[3, 1, 2, 6]$.
An array $a$ is called reachable if it can be obtained from $p$ using several (maybe zero) aforementioned operations. Calculate the number of reachable arrays, and print it modulo $998244353$.
The first line of the input contains one integer $t$ ($1 \le t \le 10^4$) — the number of test cases.
Each test case consists of two lines. The first line contains one integer $n$ ($1 \le n \le 3 \cdot 10^5$). The second line contains $n$ distinct integers $p_1, p_2, \dots, p_n$ ($1 \le p_i \le 10^9$).
Additional constraint on the input: the sum of $n$ over all test cases does not exceed $3 \cdot 10^5$.
For each test case, print one integer — the number of reachable arrays, taken modulo $998244353$.
Input
The first line of the input contains one integer $t$ ($1 \le t \le 10^4$) — the number of test cases.
Each test case consists of two lines. The first line contains one integer $n$ ($1 \le n \le 3 \cdot 10^5$). The second line contains $n$ distinct integers $p_1, p_2, \dots, p_n$ ($1 \le p_i \le 10^9$).
Additional constraint on the input: the sum of $n$ over all test cases does not exceed $3 \cdot 10^5$.
Output
For each test case, print one integer — the number of reachable arrays, taken modulo $998244353$.
3
2
2 1
4
2 4 1 3
5
10 2 6 3 4
2
6
12