C={c1,c2,… ,cm} (c1

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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Let C={c1,c2,… ,cm} (c1<c2<… <cm) be the arrangement of individuals who hold cardboards of 'C'. Let P={p1,p2,… ,pk} (p1<p2<… <pk) be the arrangement of individuals who hold cardboards of 'P'. The photograph is acceptable if and provided that it fulfills the accompanying requirements: 

 

C∪P={1,2,… ,n} 

 

C∩P=∅. 

 

ci−ci−1≤ci+1−ci(1<i<m). 

 

pi−pi−1≥pi+1−pi(1<i<k). 

 

Given a cluster a1,… ,an, kindly track down the number of good photographs fulfilling the accompanying condition: 

 

∑x∈Cax<∑y∈Pay. 

 

The appropriate response can be huge, so output it modulo 998244353. Two photographs are unique if and provided that there exists no less than one individual who holds a cardboard of 'C' in one photograph yet holds a cardboard of 'P' in the other. 

 

Input 

 

Each test contains numerous experiments. The main line contains the number of experiments t (1≤t≤200000). Depiction of the experiments follows. 

 

The principal line of each experiment contains a solitary integer n (1≤n≤200000). 

 

The subsequent line contains n integers a1,a2,… ,an (1≤ai≤109). 

 

It is ensured that the amount of n over all experiments doesn't surpass 200000. 

 

Output 

 

For each experiment, output the appropriate response modulo 998244353 in a different line.

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