#![allow(unused_macros)]
#![allow(dead_code)]
#![allow(unused_imports)]

// # ファイル構成
// - use宣言
// - libモジュール
// - main関数
// - basicモジュール
//
// 常に使うテンプレートライブラリはbasicモジュール内にあります。
// 問題に応じて使うライブラリlibモジュール内にコピペしています。
// ライブラリのコードはこちら → https://github.com/RheoTommy/at_coder
// Twitterはこちら → https://twitter.com/RheoTommy

use std::collections::*;
use std::io::{stdout, BufWriter, Write};

use crate::basic::*;
use crate::lib::*;

pub mod lib {}

fn main() {
    let out = stdout();
    let mut writer = BufWriter::new(out.lock());
    let mut sc = Scanner::new();
    let t = sc.next_uint();
    for _ in 0..t {
        let n = sc.next_usize();
        let mut a = (0..n).map(|_| sc.next_uint()).collect::<Vec<_>>();

        let mut ans = 0;

        {
            let mut dp = vec![0; n + 5];
            for i in 0..n - 2 {
                dp[i + 1] = dp[i + 1].max(dp[i]);

                let left = a[i];
                let mid = a[(i + 1) % n];
                let right = a[(i + 2) % n];
                if left != mid
                    && left != right
                    && mid != right
                    && (left.max(mid).max(right) == mid || left.min(mid).min(right) == mid)
                {
                    dp[i + 3] = dp[i + 3].max(dp[i] + left);
                }
            }

            ans = ans.max(dp.into_iter().max().unwrap());
        }
        {
            let first = a[0];
            a.remove(0);
            a.push(first);
            let mut dp = vec![0; n + 5];
            for i in 0..n - 2 {
                dp[i + 1] = dp[i + 1].max(dp[i]);

                let left = a[i];
                let mid = a[(i + 1) % n];
                let right = a[(i + 2) % n];
                if left != mid
                    && left != right
                    && mid != right
                    && (left.max(mid).max(right) == mid || left.min(mid).min(right) == mid)
                {
                    dp[i + 3] = dp[i + 3].max(dp[i] + left);
                }
            }

            ans = ans.max(dp.into_iter().max().unwrap());
        }
        {
            let first = a[0];
            a.remove(0);
            a.push(first);
            let mut dp = vec![0; n + 5];
            for i in 0..n - 2 {
                dp[i + 1] = dp[i + 1].max(dp[i]);

                let left = a[i];
                let mid = a[(i + 1) % n];
                let right = a[(i + 2) % n];
                if left != mid
                    && left != right
                    && mid != right
                    && (left.max(mid).max(right) == mid || left.min(mid).min(right) == mid)
                {
                    dp[i + 3] = dp[i + 3].max(dp[i] + left);
                }
            }

            ans = ans.max(dp.into_iter().max().unwrap());
        }

        writeln!(writer, "{}", ans).unwrap();
    }
}

pub mod basic {
    pub const U_INF: u128 = 1 << 60;
    pub const I_INF: i128 = 1 << 60;

    pub struct Scanner {
        buf: std::collections::VecDeque<String>,
        reader: std::io::BufReader<std::io::Stdin>,
    }

    impl Scanner {
        pub fn new() -> Self {
            Self {
                buf: std::collections::VecDeque::new(),
                reader: std::io::BufReader::new(std::io::stdin()),
            }
        }

        fn scan_line(&mut self) {
            use std::io::BufRead;
            let mut flag = 0;
            while self.buf.is_empty() {
                let mut s = String::new();
                self.reader.read_line(&mut s).unwrap();
                let mut iter = s.split_whitespace().peekable();
                if iter.peek().is_none() {
                    if flag >= 5 {
                        panic!("There is no input!");
                    }
                    flag += 1;
                    continue;
                }

                for si in iter {
                    self.buf.push_back(si.to_string());
                }
            }
        }

        pub fn next<T: std::str::FromStr>(&mut self) -> T {
            self.scan_line();
            self.buf
                .pop_front()
                .unwrap()
                .parse()
                .unwrap_or_else(|_| panic!("Couldn't parse!"))
        }

        pub fn next_usize(&mut self) -> usize {
            self.next()
        }

        pub fn next_int(&mut self) -> i128 {
            self.next()
        }

        pub fn next_uint(&mut self) -> u128 {
            self.next()
        }

        pub fn next_chars(&mut self) -> Vec<char> {
            self.next::<String>().chars().collect()
        }

        pub fn next_string(&mut self) -> String {
            self.next()
        }

        pub fn next_char(&mut self) -> char {
            self.next()
        }

        pub fn next_float(&mut self) -> f64 {
            self.next()
        }
    }
}