fn main() { const MOD : usize = 998244353; input!{ q: usize, n: [usize; q], } for i in 0..q { // 行列 let mut a = vec![vec![0 as usize; 2]; 2]; a[0][0] = 1; a[0][1] = 1; a[1][0] = 1; a[1][1] = 0; let mat = mat_pow(&a, n[i]-1, 2, MOD); let r_2 = (mat[1][0] + mat[1][1]) * (mat[1][0] + mat[1][1]) % MOD; let e_2 = (3*mat[1][0] + mat[1][1]) * (3*mat[1][0] + mat[1][1]) % MOD; let ans = (MOD + 5*r_2 - e_2) % MOD; println!("{}", ans); } fn mat_permutation(a: &Vec>, b: &Vec>, sz: usize, mods: usize) -> Vec> { let mut ret = vec![vec![0usize; sz]; sz]; for i in 0..sz { for j in 0..sz { for k in 0..sz { ret[i][j] += a[i][k] * b[k][j]; ret[i][j] %= mods; } } } ret } fn mat_pow(a: &Vec>, mut b: usize, sz: usize, mods: usize) -> Vec> { let mut c = a.clone(); let mut ret = vec![vec![0usize; sz]; sz]; for i in 0..sz {ret[i][i] = 1;} // 単位行列で初期化 while b > 0 { if b % 2 != 0 { ret = mat_permutation(&ret, &c, sz, mods); } c = mat_permutation(&c, &c, sz, mods); b >>= 1; } ret } } // ---------- begin input macro ---------- #[macro_export] macro_rules! input { (source = $s:expr, $($r:tt)*) => { let mut iter = $s.split_whitespace(); input_inner!{iter, $($r)*} }; ($($r:tt)*) => { let s = { use std::io::Read; let mut s = String::new(); std::io::stdin().read_to_string(&mut s).unwrap(); s }; let mut iter = s.split_whitespace(); input_inner!{iter, $($r)*} }; } #[macro_export] macro_rules! input_inner { ($iter:expr) => {}; ($iter:expr, ) => {}; ($iter:expr, $var:ident : $t:tt $($r:tt)*) => { let $var = read_value!($iter, $t); input_inner!{$iter $($r)*} }; } #[macro_export] macro_rules! read_value { ($iter:expr, ( $($t:tt),* )) => { ( $(read_value!($iter, $t)),* ) }; ($iter:expr, [ $t:tt ; $len:expr ]) => { (0..$len).map(|_| read_value!($iter, $t)).collect::>() }; ($iter:expr, chars) => { read_value!($iter, String).chars().collect::>() }; ($iter:expr, bytes) => { read_value!($iter, String).bytes().collect::>() }; ($iter:expr, usize1) => { read_value!($iter, usize) - 1 }; ($iter:expr, $t:ty) => { $iter.next().unwrap().parse::<$t>().expect("Parse error") }; } // ---------- end input macro ---------- #[allow(unused)] use std::{ io::stderr, io::stdin, io::BufRead, io::Write, mem::swap, cmp::min, cmp::max, cmp::Reverse, collections::HashSet, collections::BTreeSet, collections::HashMap, collections::BTreeMap, collections::BinaryHeap, collections::VecDeque, };