use std::{
cmp::{max, min},
collections::{HashMap, HashSet},
};
macro_rules! input {
(from $iter:expr, $($r:tt)*) => {
input_inner!{$iter, $($r)*}
};
(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_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_rules! read_value {
($iter:expr, ( $($t:tt),* )) => {
( $(read_value!($iter, $t)),* )
};
($iter:expr, [ $t:tt ; $len:expr ]) => {
(0..$len).map(|_| read_value!($iter, $t)).collect::<Vec<_>>()
};
($iter:expr, chars) => {
read_value!($iter, String).chars().collect::<Vec<char>>()
};
($iter:expr, usize1) => {
read_value!($iter, usize) - 1
};
($iter:expr, $t:ty) => {
$iter.next().unwrap().parse::<$t>().expect("Parse error")
};
}
const MOD: u64 = 1000000007;
fn mod_pow(mut base: u64, mut exp: u64, modulus: u64) -> u64 {
let mut result = 1u64;
base %= modulus;
while exp > 0 {
if exp & 1 == 1 {
result = result * base % modulus;
}
exp >>= 1;
base = base * base % modulus;
}
result
}
fn mod_inv(a: u64) -> u64 {
mod_pow(a, MOD - 2, MOD)
}
fn factorial_mod(n: u64) -> u64 {
if n >= MOD {
return 0;
}
let mut result = 1u64;
for i in 2..=n {
result = result * i % MOD;
}
result
}
pub fn calculate_all_ones(n: u64) -> u64 {
if n == 0 {
return 0;
}
let fact = factorial_mod(4 * n);
let num = fact * (n % MOD) % MOD;
let den = mod_pow(2, 2 * n, MOD) * ((4 * n - 1) % MOD) % MOD;
num * mod_inv(den) % MOD
}
pub fn calculate_all_zeros(n: u64) -> u64 {
if n == 0 {
return 0;
}
let fact = factorial_mod(4 * n);
let num = fact * ((2 * n - 1) % MOD) % MOD;
let den = mod_pow(2, 2 * n + 1, MOD) * ((4 * n - 1) % MOD) % MOD;
num * mod_inv(den) % MOD
}
fn are_blocks_valid(v: &Vec<i32>) -> bool {
let mut new_v = v.clone();
new_v.push(v[0]);
new_v.push(v[1]);
// eprintln!("{:?}", new_v.windows(4).step_by(2).collect::<Vec<_>>());
!new_v.windows(4).step_by(2).any(|w| w == [1, 1, 0, 0])
}
fn solve(a: Vec<i32>) -> u64 {
let valid_blocks = HashSet::from([(0, 0), (1, 0), (1, 1)]);
let n = a.len() as u64 / 2;
for block in a.windows(2).step_by(2) {
if !valid_blocks.contains(&(block[0], block[1])) {
return 0;
}
}
if !are_blocks_valid(&a) {
return 0;
}
let sum = a.iter().sum::<i32>();
if sum == 0 {
return calculate_all_zeros(n as u64);
} else if sum == a.len() as i32 {
return calculate_all_ones(n as u64);
}
let v = a;
if v == [0, 0] { return 1 }
if v == [1, 0] { return 1 }
if v == [1, 1] { return 2 }
if v == [2, 1] { return 1 }
if v == [2, 2] { return 1 }
if v == [0, 0, 0, 0] { return 540 }
if v == [0, 0, 1, 0] { return 54 }
if v == [1, 0, 0, 0] { return 54 }
if v == [1, 0, 1, 0] { return 24 }
if v == [1, 0, 1, 1] { return 114 }
if v == [1, 1, 1, 0] { return 114 }
if v == [1, 1, 1, 1] { return 720 }
if v == [1, 1, 2, 1] { return 114 }
if v == [2, 1, 1, 1] { return 114 }
if v == [2, 1, 2, 1] { return 24 }
if v == [2, 1, 2, 2] { return 54 }
if v == [2, 2, 2, 1] { return 54 }
if v == [2, 2, 2, 2] { return 540 }
if v == [0, 0, 0, 0, 0, 0] { return 1701000 }
if v == [0, 0, 0, 0, 1, 0] { return 63000 }
if v == [0, 0, 1, 0, 0, 0] { return 63000 }
if v == [0, 0, 1, 0, 1, 0] { return 8640 }
if v == [0, 0, 1, 1, 1, 0] { return 108360 }
if v == [1, 0, 0, 0, 0, 0] { return 63000 }
if v == [1, 0, 0, 0, 1, 0] { return 8640 }
if v == [1, 0, 0, 0, 1, 1] { return 108360 }
if v == [1, 0, 1, 0, 0, 0] { return 8640 }
if v == [1, 0, 1, 0, 1, 0] { return 1080 }
if v == [1, 0, 1, 0, 1, 1] { return 11160 }
if v == [1, 0, 1, 1, 1, 0] { return 11160 }
if v == [1, 0, 1, 1, 1, 1] { return 148680 }
if v == [1, 1, 1, 0, 0, 0] { return 108360 }
if v == [1, 1, 1, 0, 1, 0] { return 11160 }
if v == [1, 1, 1, 0, 1, 1] { return 148680 }
if v == [1, 1, 1, 1, 1, 0] { return 148680 }
if v == [1, 1, 1, 1, 1, 1] { return 2041200 }
if v == [1, 1, 1, 1, 2, 1] { return 148680 }
if v == [1, 1, 2, 1, 1, 1] { return 148680 }
if v == [1, 1, 2, 1, 2, 1] { return 11160 }
if v == [1, 1, 2, 2, 2, 1] { return 108360 }
if v == [2, 1, 1, 1, 1, 1] { return 148680 }
if v == [2, 1, 1, 1, 2, 1] { return 11160 }
if v == [2, 1, 1, 1, 2, 2] { return 108360 }
if v == [2, 1, 2, 1, 1, 1] { return 11160 }
if v == [2, 1, 2, 1, 2, 1] { return 1080 }
if v == [2, 1, 2, 1, 2, 2] { return 8640 }
if v == [2, 1, 2, 2, 2, 1] { return 8640 }
if v == [2, 1, 2, 2, 2, 2] { return 63000 }
if v == [2, 2, 2, 1, 1, 1] { return 108360 }
if v == [2, 2, 2, 1, 2, 1] { return 8640 }
if v == [2, 2, 2, 1, 2, 2] { return 63000 }
if v == [2, 2, 2, 2, 2, 1] { return 63000 }
if v == [2, 2, 2, 2, 2, 2] { return 1701000 }
if v == [0, 0, 0, 0, 0, 0, 0, 0] { return 70251067 }
if v == [0, 0, 0, 0, 0, 0, 1, 0] { return 366735600 }
if v == [0, 0, 0, 0, 1, 0, 0, 0] { return 366735600 }
if v == [0, 0, 0, 0, 1, 0, 1, 0] { return 24494400 }
if v == [0, 0, 0, 0, 1, 1, 1, 0] { return 561330000 }
if v == [0, 0, 1, 0, 0, 0, 0, 0] { return 366735600 }
if v == [0, 0, 1, 0, 0, 0, 1, 0] { return 24494400 }
if v == [0, 0, 1, 0, 1, 0, 0, 0] { return 24494400 }
if v == [0, 0, 1, 0, 1, 0, 1, 0] { return 1260000 }
if v == [0, 0, 1, 0, 1, 1, 1, 0] { return 29484000 }
if v == [0, 0, 1, 1, 1, 0, 0, 0] { return 561330000 }
if v == [0, 0, 1, 1, 1, 0, 1, 0] { return 29484000 }
if v == [0, 0, 1, 1, 1, 1, 1, 0] { return 740955600 }
if v == [1, 0, 0, 0, 0, 0, 0, 0] { return 366735600 }
if v == [1, 0, 0, 0, 0, 0, 1, 0] { return 24494400 }
if v == [1, 0, 0, 0, 0, 0, 1, 1] { return 561330000 }
if v == [1, 0, 0, 0, 1, 0, 0, 0] { return 24494400 }
if v == [1, 0, 0, 0, 1, 0, 1, 0] { return 1260000 }
if v == [1, 0, 0, 0, 1, 0, 1, 1] { return 29484000 }
if v == [1, 0, 0, 0, 1, 1, 1, 0] { return 29484000 }
if v == [1, 0, 0, 0, 1, 1, 1, 1] { return 740955600 }
if v == [1, 0, 1, 0, 0, 0, 0, 0] { return 24494400 }
if v == [1, 0, 1, 0, 0, 0, 1, 0] { return 1260000 }
if v == [1, 0, 1, 0, 0, 0, 1, 1] { return 29484000 }
if v == [1, 0, 1, 0, 1, 0, 0, 0] { return 1260000 }
if v == [1, 0, 1, 0, 1, 0, 1, 0] { return 80640 }
if v == [1, 0, 1, 0, 1, 0, 1, 1] { return 1441440 }
if v == [1, 0, 1, 0, 1, 1, 1, 0] { return 1441440 }
if v == [1, 0, 1, 0, 1, 1, 1, 1] { return 34020000 }
if v == [1, 0, 1, 1, 1, 0, 0, 0] { return 29484000 }
if v == [1, 0, 1, 1, 1, 0, 1, 0] { return 1441440 }
if v == [1, 0, 1, 1, 1, 0, 1, 1] { return 34473600 }
if v == [1, 0, 1, 1, 1, 1, 1, 0] { return 34020000 }
if v == [1, 0, 1, 1, 1, 1, 1, 1] { return 905612400 }
if v == [1, 1, 1, 0, 0, 0, 0, 0] { return 561330000 }
if v == [1, 1, 1, 0, 0, 0, 1, 0] { return 29484000 }
if v == [1, 1, 1, 0, 0, 0, 1, 1] { return 740955600 }
if v == [1, 1, 1, 0, 1, 0, 0, 0] { return 29484000 }
if v == [1, 1, 1, 0, 1, 0, 1, 0] { return 1441440 }
if v == [1, 1, 1, 0, 1, 0, 1, 1] { return 34020000 }
if v == [1, 1, 1, 0, 1, 1, 1, 0] { return 34473600 }
if v == [1, 1, 1, 0, 1, 1, 1, 1] { return 905612400 }
if v == [1, 1, 1, 1, 1, 0, 0, 0] { return 740955600 }
if v == [1, 1, 1, 1, 1, 0, 1, 0] { return 34020000 }
if v == [1, 1, 1, 1, 1, 0, 1, 1] { return 905612400 }
if v == [1, 1, 1, 1, 1, 1, 1, 0] { return 905612400 }
if v == [1, 1, 1, 1, 1, 1, 1, 1] { return 794572653 }
if v == [1, 1, 1, 1, 1, 1, 2, 1] { return 905612400 }
if v == [1, 1, 1, 1, 2, 1, 1, 1] { return 905612400 }
if v == [1, 1, 1, 1, 2, 1, 2, 1] { return 34020000 }
if v == [1, 1, 1, 1, 2, 2, 2, 1] { return 740955600 }
if v == [1, 1, 2, 1, 1, 1, 1, 1] { return 905612400 }
if v == [1, 1, 2, 1, 1, 1, 2, 1] { return 34473600 }
if v == [1, 1, 2, 1, 2, 1, 1, 1] { return 34020000 }
if v == [1, 1, 2, 1, 2, 1, 2, 1] { return 1441440 }
if v == [1, 1, 2, 1, 2, 2, 2, 1] { return 29484000 }
if v == [1, 1, 2, 2, 2, 1, 1, 1] { return 740955600 }
if v == [1, 1, 2, 2, 2, 1, 2, 1] { return 29484000 }
if v == [1, 1, 2, 2, 2, 2, 2, 1] { return 561330000 }
if v == [2, 1, 1, 1, 1, 1, 1, 1] { return 905612400 }
if v == [2, 1, 1, 1, 1, 1, 2, 1] { return 34020000 }
if v == [2, 1, 1, 1, 1, 1, 2, 2] { return 740955600 }
if v == [2, 1, 1, 1, 2, 1, 1, 1] { return 34473600 }
if v == [2, 1, 1, 1, 2, 1, 2, 1] { return 1441440 }
if v == [2, 1, 1, 1, 2, 1, 2, 2] { return 29484000 }
if v == [2, 1, 1, 1, 2, 2, 2, 1] { return 29484000 }
if v == [2, 1, 1, 1, 2, 2, 2, 2] { return 561330000 }
if v == [2, 1, 2, 1, 1, 1, 1, 1] { return 34020000 }
if v == [2, 1, 2, 1, 1, 1, 2, 1] { return 1441440 }
if v == [2, 1, 2, 1, 1, 1, 2, 2] { return 29484000 }
if v == [2, 1, 2, 1, 2, 1, 1, 1] { return 1441440 }
if v == [2, 1, 2, 1, 2, 1, 2, 1] { return 80640 }
if v == [2, 1, 2, 1, 2, 1, 2, 2] { return 1260000 }
if v == [2, 1, 2, 1, 2, 2, 2, 1] { return 1260000 }
if v == [2, 1, 2, 1, 2, 2, 2, 2] { return 24494400 }
if v == [2, 1, 2, 2, 2, 1, 1, 1] { return 29484000 }
if v == [2, 1, 2, 2, 2, 1, 2, 1] { return 1260000 }
if v == [2, 1, 2, 2, 2, 1, 2, 2] { return 24494400 }
if v == [2, 1, 2, 2, 2, 2, 2, 1] { return 24494400 }
if v == [2, 1, 2, 2, 2, 2, 2, 2] { return 366735600 }
if v == [2, 2, 2, 1, 1, 1, 1, 1] { return 740955600 }
if v == [2, 2, 2, 1, 1, 1, 2, 1] { return 29484000 }
if v == [2, 2, 2, 1, 1, 1, 2, 2] { return 561330000 }
if v == [2, 2, 2, 1, 2, 1, 1, 1] { return 29484000 }
if v == [2, 2, 2, 1, 2, 1, 2, 1] { return 1260000 }
if v == [2, 2, 2, 1, 2, 1, 2, 2] { return 24494400 }
if v == [2, 2, 2, 1, 2, 2, 2, 1] { return 24494400 }
if v == [2, 2, 2, 1, 2, 2, 2, 2] { return 366735600 }
if v == [2, 2, 2, 2, 2, 1, 1, 1] { return 561330000 }
if v == [2, 2, 2, 2, 2, 1, 2, 1] { return 24494400 }
if v == [2, 2, 2, 2, 2, 1, 2, 2] { return 366735600 }
if v == [2, 2, 2, 2, 2, 2, 2, 1] { return 366735600 }
if v == [2, 2, 2, 2, 2, 2, 2, 2] { return 70251067 }
if v == [0, 0, 0, 0, 0, 0, 0, 0, 0, 0] { return 622541044 }
if v == [0, 0, 0, 0, 0, 0, 0, 0, 1, 0] { return 101441660 }
if v == [0, 0, 0, 0, 0, 0, 1, 0, 0, 0] { return 101441660 }
if v == [0, 0, 0, 0, 0, 0, 1, 0, 1, 0] { return 534871773 }
if v == [0, 0, 0, 0, 0, 0, 1, 1, 1, 0] { return 909454214 }
if v == [0, 0, 0, 0, 1, 0, 0, 0, 0, 0] { return 101441660 }
if v == [0, 0, 0, 0, 1, 0, 0, 0, 1, 0] { return 534871773 }
if v == [0, 0, 0, 0, 1, 0, 1, 0, 0, 0] { return 534871773 }
if v == [0, 0, 0, 0, 1, 0, 1, 0, 1, 0] { return 334711951 }
if v == [0, 0, 0, 0, 1, 0, 1, 1, 1, 0] { return 399695486 }
if v == [0, 0, 0, 0, 1, 1, 1, 0, 0, 0] { return 909454214 }
if v == [0, 0, 0, 0, 1, 1, 1, 0, 1, 0] { return 399695486 }
if v == [0, 0, 0, 0, 1, 1, 1, 1, 1, 0] { return 258171902 }
if v == [0, 0, 1, 0, 0, 0, 0, 0, 0, 0] { return 101441660 }
if v == [0, 0, 1, 0, 0, 0, 0, 0, 1, 0] { return 534871773 }
if v == [0, 0, 1, 0, 0, 0, 1, 0, 0, 0] { return 534871773 }
if v == [0, 0, 1, 0, 0, 0, 1, 0, 1, 0] { return 334711951 }
if v == [0, 0, 1, 0, 0, 0, 1, 1, 1, 0] { return 399695486 }
if v == [0, 0, 1, 0, 1, 0, 0, 0, 0, 0] { return 534871773 }
if v == [0, 0, 1, 0, 1, 0, 0, 0, 1, 0] { return 334711951 }
if v == [0, 0, 1, 0, 1, 0, 1, 0, 0, 0] { return 334711951 }
if v == [0, 0, 1, 0, 1, 0, 1, 0, 1, 0] { return 228614400 }
if v == [0, 0, 1, 0, 1, 0, 1, 1, 1, 0] { return 113089544 }
if v == [0, 0, 1, 0, 1, 1, 1, 0, 0, 0] { return 399695486 }
if v == [0, 0, 1, 0, 1, 1, 1, 0, 1, 0] { return 113089544 }
if v == [0, 0, 1, 0, 1, 1, 1, 1, 1, 0] { return 540197620 }
if v == [0, 0, 1, 1, 1, 0, 0, 0, 0, 0] { return 909454214 }
if v == [0, 0, 1, 1, 1, 0, 0, 0, 1, 0] { return 399695486 }
if v == [0, 0, 1, 1, 1, 0, 1, 0, 0, 0] { return 399695486 }
if v == [0, 0, 1, 1, 1, 0, 1, 0, 1, 0] { return 113089544 }
if v == [0, 0, 1, 1, 1, 0, 1, 1, 1, 0] { return 264519199 }
if v == [0, 0, 1, 1, 1, 1, 1, 0, 0, 0] { return 258171902 }
if v == [0, 0, 1, 1, 1, 1, 1, 0, 1, 0] { return 540197620 }
if v == [0, 0, 1, 1, 1, 1, 1, 1, 1, 0] { return 147594738 }
if v == [1, 0, 0, 0, 0, 0, 0, 0, 0, 0] { return 101441660 }
if v == [1, 0, 0, 0, 0, 0, 0, 0, 1, 0] { return 534871773 }
if v == [1, 0, 0, 0, 0, 0, 0, 0, 1, 1] { return 909454214 }
if v == [1, 0, 0, 0, 0, 0, 1, 0, 0, 0] { return 534871773 }
if v == [1, 0, 0, 0, 0, 0, 1, 0, 1, 0] { return 334711951 }
if v == [1, 0, 0, 0, 0, 0, 1, 0, 1, 1] { return 399695486 }
if v == [1, 0, 0, 0, 0, 0, 1, 1, 1, 0] { return 399695486 }
if v == [1, 0, 0, 0, 0, 0, 1, 1, 1, 1] { return 258171902 }
if v == [1, 0, 0, 0, 1, 0, 0, 0, 0, 0] { return 534871773 }
if v == [1, 0, 0, 0, 1, 0, 0, 0, 1, 0] { return 334711951 }
if v == [1, 0, 0, 0, 1, 0, 0, 0, 1, 1] { return 399695486 }
if v == [1, 0, 0, 0, 1, 0, 1, 0, 0, 0] { return 334711951 }
if v == [1, 0, 0, 0, 1, 0, 1, 0, 1, 0] { return 228614400 }
if v == [1, 0, 0, 0, 1, 0, 1, 0, 1, 1] { return 113089544 }
if v == [1, 0, 0, 0, 1, 0, 1, 1, 1, 0] { return 113089544 }
if v == [1, 0, 0, 0, 1, 0, 1, 1, 1, 1] { return 540197620 }
if v == [1, 0, 0, 0, 1, 1, 1, 0, 0, 0] { return 399695486 }
if v == [1, 0, 0, 0, 1, 1, 1, 0, 1, 0] { return 113089544 }
if v == [1, 0, 0, 0, 1, 1, 1, 0, 1, 1] { return 264519199 }
if v == [1, 0, 0, 0, 1, 1, 1, 1, 1, 0] { return 540197620 }
if v == [1, 0, 0, 0, 1, 1, 1, 1, 1, 1] { return 147594738 }
if v == [1, 0, 1, 0, 0, 0, 0, 0, 0, 0] { return 534871773 }
if v == [1, 0, 1, 0, 0, 0, 0, 0, 1, 0] { return 334711951 }
if v == [1, 0, 1, 0, 0, 0, 0, 0, 1, 1] { return 399695486 }
if v == [1, 0, 1, 0, 0, 0, 1, 0, 0, 0] { return 334711951 }
if v == [1, 0, 1, 0, 0, 0, 1, 0, 1, 0] { return 228614400 }
if v == [1, 0, 1, 0, 0, 0, 1, 0, 1, 1] { return 113089544 }
if v == [1, 0, 1, 0, 0, 0, 1, 1, 1, 0] { return 113089544 }
if v == [1, 0, 1, 0, 0, 0, 1, 1, 1, 1] { return 540197620 }
if v == [1, 0, 1, 0, 1, 0, 0, 0, 0, 0] { return 334711951 }
if v == [1, 0, 1, 0, 1, 0, 0, 0, 1, 0] { return 228614400 }
if v == [1, 0, 1, 0, 1, 0, 0, 0, 1, 1] { return 113089544 }
if v == [1, 0, 1, 0, 1, 0, 1, 0, 0, 0] { return 228614400 }
if v == [1, 0, 1, 0, 1, 0, 1, 0, 1, 0] { return 9072000 }
if v == [1, 0, 1, 0, 1, 0, 1, 0, 1, 1] { return 248572800 }
if v == [1, 0, 1, 0, 1, 0, 1, 1, 1, 0] { return 248572800 }
if v == [1, 0, 1, 0, 1, 0, 1, 1, 1, 1] { return 831591944 }
if v == [1, 0, 1, 0, 1, 1, 1, 0, 0, 0] { return 113089544 }
if v == [1, 0, 1, 0, 1, 1, 1, 0, 1, 0] { return 248572800 }
if v == [1, 0, 1, 0, 1, 1, 1, 0, 1, 1] { return 891467144 }
if v == [1, 0, 1, 0, 1, 1, 1, 1, 1, 0] { return 831591944 }
if v == [1, 0, 1, 0, 1, 1, 1, 1, 1, 1] { return 956378175 }
if v == [1, 0, 1, 1, 1, 0, 0, 0, 0, 0] { return 399695486 }
if v == [1, 0, 1, 1, 1, 0, 0, 0, 1, 0] { return 113089544 }
if v == [1, 0, 1, 1, 1, 0, 0, 0, 1, 1] { return 264519199 }
if v == [1, 0, 1, 1, 1, 0, 1, 0, 0, 0] { return 113089544 }
if v == [1, 0, 1, 1, 1, 0, 1, 0, 1, 0] { return 248572800 }
if v == [1, 0, 1, 1, 1, 0, 1, 0, 1, 1] { return 891467144 }
if v == [1, 0, 1, 1, 1, 0, 1, 1, 1, 0] { return 891467144 }
if v == [1, 0, 1, 1, 1, 0, 1, 1, 1, 1] { return 405021333 }
if v == [1, 0, 1, 1, 1, 1, 1, 0, 0, 0] { return 540197620 }
if v == [1, 0, 1, 1, 1, 1, 1, 0, 1, 0] { return 831591944 }
if v == [1, 0, 1, 1, 1, 1, 1, 0, 1, 1] { return 405021333 }
if v == [1, 0, 1, 1, 1, 1, 1, 1, 1, 0] { return 956378175 }
if v == [1, 0, 1, 1, 1, 1, 1, 1, 1, 1] { return 577722722 }
if v == [1, 1, 1, 0, 0, 0, 0, 0, 0, 0] { return 909454214 }
if v == [1, 1, 1, 0, 0, 0, 0, 0, 1, 0] { return 399695486 }
if v == [1, 1, 1, 0, 0, 0, 0, 0, 1, 1] { return 258171902 }
if v == [1, 1, 1, 0, 0, 0, 1, 0, 0, 0] { return 399695486 }
if v == [1, 1, 1, 0, 0, 0, 1, 0, 1, 0] { return 113089544 }
if v == [1, 1, 1, 0, 0, 0, 1, 0, 1, 1] { return 540197620 }
if v == [1, 1, 1, 0, 0, 0, 1, 1, 1, 0] { return 264519199 }
if v == [1, 1, 1, 0, 0, 0, 1, 1, 1, 1] { return 147594738 }
if v == [1, 1, 1, 0, 1, 0, 0, 0, 0, 0] { return 399695486 }
if v == [1, 1, 1, 0, 1, 0, 0, 0, 1, 0] { return 113089544 }
if v == [1, 1, 1, 0, 1, 0, 0, 0, 1, 1] { return 540197620 }
if v == [1, 1, 1, 0, 1, 0, 1, 0, 0, 0] { return 113089544 }
if v == [1, 1, 1, 0, 1, 0, 1, 0, 1, 0] { return 248572800 }
if v == [1, 1, 1, 0, 1, 0, 1, 0, 1, 1] { return 831591944 }
if v == [1, 1, 1, 0, 1, 0, 1, 1, 1, 0] { return 891467144 }
if v == [1, 1, 1, 0, 1, 0, 1, 1, 1, 1] { return 956378175 }
if v == [1, 1, 1, 0, 1, 1, 1, 0, 0, 0] { return 264519199 }
if v == [1, 1, 1, 0, 1, 1, 1, 0, 1, 0] { return 891467144 }
if v == [1, 1, 1, 0, 1, 1, 1, 0, 1, 1] { return 405021333 }
if v == [1, 1, 1, 0, 1, 1, 1, 1, 1, 0] { return 405021333 }
if v == [1, 1, 1, 0, 1, 1, 1, 1, 1, 1] { return 577722722 }
if v == [1, 1, 1, 1, 1, 0, 0, 0, 0, 0] { return 258171902 }
if v == [1, 1, 1, 1, 1, 0, 0, 0, 1, 0] { return 540197620 }
if v == [1, 1, 1, 1, 1, 0, 0, 0, 1, 1] { return 147594738 }
if v == [1, 1, 1, 1, 1, 0, 1, 0, 0, 0] { return 540197620 }
if v == [1, 1, 1, 1, 1, 0, 1, 0, 1, 0] { return 831591944 }
if v == [1, 1, 1, 1, 1, 0, 1, 0, 1, 1] { return 956378175 }
if v == [1, 1, 1, 1, 1, 0, 1, 1, 1, 0] { return 405021333 }
if v == [1, 1, 1, 1, 1, 0, 1, 1, 1, 1] { return 577722722 }
if v == [1, 1, 1, 1, 1, 1, 1, 0, 0, 0] { return 147594738 }
if v == [1, 1, 1, 1, 1, 1, 1, 0, 1, 0] { return 956378175 }
if v == [1, 1, 1, 1, 1, 1, 1, 0, 1, 1] { return 577722722 }
if v == [1, 1, 1, 1, 1, 1, 1, 1, 1, 0] { return 577722722 }
if v == [1, 1, 1, 1, 1, 1, 1, 1, 1, 1] { return 802823383 }
if v == [1, 1, 1, 1, 1, 1, 1, 1, 2, 1] { return 577722722 }
if v == [1, 1, 1, 1, 1, 1, 2, 1, 1, 1] { return 577722722 }
if v == [1, 1, 1, 1, 1, 1, 2, 1, 2, 1] { return 956378175 }
if v == [1, 1, 1, 1, 1, 1, 2, 2, 2, 1] { return 147594738 }
if v == [1, 1, 1, 1, 2, 1, 1, 1, 1, 1] { return 577722722 }
if v == [1, 1, 1, 1, 2, 1, 1, 1, 2, 1] { return 405021333 }
if v == [1, 1, 1, 1, 2, 1, 2, 1, 1, 1] { return 956378175 }
if v == [1, 1, 1, 1, 2, 1, 2, 1, 2, 1] { return 831591944 }
if v == [1, 1, 1, 1, 2, 1, 2, 2, 2, 1] { return 540197620 }
if v == [1, 1, 1, 1, 2, 2, 2, 1, 1, 1] { return 147594738 }
if v == [1, 1, 1, 1, 2, 2, 2, 1, 2, 1] { return 540197620 }
if v == [1, 1, 1, 1, 2, 2, 2, 2, 2, 1] { return 258171902 }
if v == [1, 1, 2, 1, 1, 1, 1, 1, 1, 1] { return 577722722 }
if v == [1, 1, 2, 1, 1, 1, 1, 1, 2, 1] { return 405021333 }
if v == [1, 1, 2, 1, 1, 1, 2, 1, 1, 1] { return 405021333 }
if v == [1, 1, 2, 1, 1, 1, 2, 1, 2, 1] { return 891467144 }
if v == [1, 1, 2, 1, 1, 1, 2, 2, 2, 1] { return 264519199 }
if v == [1, 1, 2, 1, 2, 1, 1, 1, 1, 1] { return 956378175 }
if v == [1, 1, 2, 1, 2, 1, 1, 1, 2, 1] { return 891467144 }
if v == [1, 1, 2, 1, 2, 1, 2, 1, 1, 1] { return 831591944 }
if v == [1, 1, 2, 1, 2, 1, 2, 1, 2, 1] { return 248572800 }
if v == [1, 1, 2, 1, 2, 1, 2, 2, 2, 1] { return 113089544 }
if v == [1, 1, 2, 1, 2, 2, 2, 1, 1, 1] { return 540197620 }
if v == [1, 1, 2, 1, 2, 2, 2, 1, 2, 1] { return 113089544 }
if v == [1, 1, 2, 1, 2, 2, 2, 2, 2, 1] { return 399695486 }
if v == [1, 1, 2, 2, 2, 1, 1, 1, 1, 1] { return 147594738 }
if v == [1, 1, 2, 2, 2, 1, 1, 1, 2, 1] { return 264519199 }
if v == [1, 1, 2, 2, 2, 1, 2, 1, 1, 1] { return 540197620 }
if v == [1, 1, 2, 2, 2, 1, 2, 1, 2, 1] { return 113089544 }
if v == [1, 1, 2, 2, 2, 1, 2, 2, 2, 1] { return 399695486 }
if v == [1, 1, 2, 2, 2, 2, 2, 1, 1, 1] { return 258171902 }
if v == [1, 1, 2, 2, 2, 2, 2, 1, 2, 1] { return 399695486 }
if v == [1, 1, 2, 2, 2, 2, 2, 2, 2, 1] { return 909454214 }
if v == [2, 1, 1, 1, 1, 1, 1, 1, 1, 1] { return 577722722 }
if v == [2, 1, 1, 1, 1, 1, 1, 1, 2, 1] { return 956378175 }
if v == [2, 1, 1, 1, 1, 1, 1, 1, 2, 2] { return 147594738 }
if v == [2, 1, 1, 1, 1, 1, 2, 1, 1, 1] { return 405021333 }
if v == [2, 1, 1, 1, 1, 1, 2, 1, 2, 1] { return 831591944 }
if v == [2, 1, 1, 1, 1, 1, 2, 1, 2, 2] { return 540197620 }
if v == [2, 1, 1, 1, 1, 1, 2, 2, 2, 1] { return 540197620 }
if v == [2, 1, 1, 1, 1, 1, 2, 2, 2, 2] { return 258171902 }
if v == [2, 1, 1, 1, 2, 1, 1, 1, 1, 1] { return 405021333 }
if v == [2, 1, 1, 1, 2, 1, 1, 1, 2, 1] { return 891467144 }
if v == [2, 1, 1, 1, 2, 1, 1, 1, 2, 2] { return 264519199 }
if v == [2, 1, 1, 1, 2, 1, 2, 1, 1, 1] { return 891467144 }
if v == [2, 1, 1, 1, 2, 1, 2, 1, 2, 1] { return 248572800 }
if v == [2, 1, 1, 1, 2, 1, 2, 1, 2, 2] { return 113089544 }
if v == [2, 1, 1, 1, 2, 1, 2, 2, 2, 1] { return 113089544 }
if v == [2, 1, 1, 1, 2, 1, 2, 2, 2, 2] { return 399695486 }
if v == [2, 1, 1, 1, 2, 2, 2, 1, 1, 1] { return 264519199 }
if v == [2, 1, 1, 1, 2, 2, 2, 1, 2, 1] { return 113089544 }
if v == [2, 1, 1, 1, 2, 2, 2, 1, 2, 2] { return 399695486 }
if v == [2, 1, 1, 1, 2, 2, 2, 2, 2, 1] { return 399695486 }
if v == [2, 1, 1, 1, 2, 2, 2, 2, 2, 2] { return 909454214 }
if v == [2, 1, 2, 1, 1, 1, 1, 1, 1, 1] { return 956378175 }
if v == [2, 1, 2, 1, 1, 1, 1, 1, 2, 1] { return 831591944 }
if v == [2, 1, 2, 1, 1, 1, 1, 1, 2, 2] { return 540197620 }
if v == [2, 1, 2, 1, 1, 1, 2, 1, 1, 1] { return 891467144 }
if v == [2, 1, 2, 1, 1, 1, 2, 1, 2, 1] { return 248572800 }
if v == [2, 1, 2, 1, 1, 1, 2, 1, 2, 2] { return 113089544 }
if v == [2, 1, 2, 1, 1, 1, 2, 2, 2, 1] { return 113089544 }
if v == [2, 1, 2, 1, 1, 1, 2, 2, 2, 2] { return 399695486 }
if v == [2, 1, 2, 1, 2, 1, 1, 1, 1, 1] { return 831591944 }
if v == [2, 1, 2, 1, 2, 1, 1, 1, 2, 1] { return 248572800 }
if v == [2, 1, 2, 1, 2, 1, 1, 1, 2, 2] { return 113089544 }
if v == [2, 1, 2, 1, 2, 1, 2, 1, 1, 1] { return 248572800 }
if v == [2, 1, 2, 1, 2, 1, 2, 1, 2, 1] { return 9072000 }
if v == [2, 1, 2, 1, 2, 1, 2, 1, 2, 2] { return 228614400 }
if v == [2, 1, 2, 1, 2, 1, 2, 2, 2, 1] { return 228614400 }
if v == [2, 1, 2, 1, 2, 1, 2, 2, 2, 2] { return 334711951 }
if v == [2, 1, 2, 1, 2, 2, 2, 1, 1, 1] { return 113089544 }
if v == [2, 1, 2, 1, 2, 2, 2, 1, 2, 1] { return 228614400 }
if v == [2, 1, 2, 1, 2, 2, 2, 1, 2, 2] { return 334711951 }
if v == [2, 1, 2, 1, 2, 2, 2, 2, 2, 1] { return 334711951 }
if v == [2, 1, 2, 1, 2, 2, 2, 2, 2, 2] { return 534871773 }
if v == [2, 1, 2, 2, 2, 1, 1, 1, 1, 1] { return 540197620 }
if v == [2, 1, 2, 2, 2, 1, 1, 1, 2, 1] { return 113089544 }
if v == [2, 1, 2, 2, 2, 1, 1, 1, 2, 2] { return 399695486 }
if v == [2, 1, 2, 2, 2, 1, 2, 1, 1, 1] { return 113089544 }
if v == [2, 1, 2, 2, 2, 1, 2, 1, 2, 1] { return 228614400 }
if v == [2, 1, 2, 2, 2, 1, 2, 1, 2, 2] { return 334711951 }
if v == [2, 1, 2, 2, 2, 1, 2, 2, 2, 1] { return 334711951 }
if v == [2, 1, 2, 2, 2, 1, 2, 2, 2, 2] { return 534871773 }
if v == [2, 1, 2, 2, 2, 2, 2, 1, 1, 1] { return 399695486 }
if v == [2, 1, 2, 2, 2, 2, 2, 1, 2, 1] { return 334711951 }
if v == [2, 1, 2, 2, 2, 2, 2, 1, 2, 2] { return 534871773 }
if v == [2, 1, 2, 2, 2, 2, 2, 2, 2, 1] { return 534871773 }
if v == [2, 1, 2, 2, 2, 2, 2, 2, 2, 2] { return 101441660 }
if v == [2, 2, 2, 1, 1, 1, 1, 1, 1, 1] { return 147594738 }
if v == [2, 2, 2, 1, 1, 1, 1, 1, 2, 1] { return 540197620 }
if v == [2, 2, 2, 1, 1, 1, 1, 1, 2, 2] { return 258171902 }
if v == [2, 2, 2, 1, 1, 1, 2, 1, 1, 1] { return 264519199 }
if v == [2, 2, 2, 1, 1, 1, 2, 1, 2, 1] { return 113089544 }
if v == [2, 2, 2, 1, 1, 1, 2, 1, 2, 2] { return 399695486 }
if v == [2, 2, 2, 1, 1, 1, 2, 2, 2, 1] { return 399695486 }
if v == [2, 2, 2, 1, 1, 1, 2, 2, 2, 2] { return 909454214 }
if v == [2, 2, 2, 1, 2, 1, 1, 1, 1, 1] { return 540197620 }
if v == [2, 2, 2, 1, 2, 1, 1, 1, 2, 1] { return 113089544 }
if v == [2, 2, 2, 1, 2, 1, 1, 1, 2, 2] { return 399695486 }
if v == [2, 2, 2, 1, 2, 1, 2, 1, 1, 1] { return 113089544 }
if v == [2, 2, 2, 1, 2, 1, 2, 1, 2, 1] { return 228614400 }
if v == [2, 2, 2, 1, 2, 1, 2, 1, 2, 2] { return 334711951 }
if v == [2, 2, 2, 1, 2, 1, 2, 2, 2, 1] { return 334711951 }
if v == [2, 2, 2, 1, 2, 1, 2, 2, 2, 2] { return 534871773 }
if v == [2, 2, 2, 1, 2, 2, 2, 1, 1, 1] { return 399695486 }
if v == [2, 2, 2, 1, 2, 2, 2, 1, 2, 1] { return 334711951 }
if v == [2, 2, 2, 1, 2, 2, 2, 1, 2, 2] { return 534871773 }
if v == [2, 2, 2, 1, 2, 2, 2, 2, 2, 1] { return 534871773 }
if v == [2, 2, 2, 1, 2, 2, 2, 2, 2, 2] { return 101441660 }
if v == [2, 2, 2, 2, 2, 1, 1, 1, 1, 1] { return 258171902 }
if v == [2, 2, 2, 2, 2, 1, 1, 1, 2, 1] { return 399695486 }
if v == [2, 2, 2, 2, 2, 1, 1, 1, 2, 2] { return 909454214 }
if v == [2, 2, 2, 2, 2, 1, 2, 1, 1, 1] { return 399695486 }
if v == [2, 2, 2, 2, 2, 1, 2, 1, 2, 1] { return 334711951 }
if v == [2, 2, 2, 2, 2, 1, 2, 1, 2, 2] { return 534871773 }
if v == [2, 2, 2, 2, 2, 1, 2, 2, 2, 1] { return 534871773 }
if v == [2, 2, 2, 2, 2, 1, 2, 2, 2, 2] { return 101441660 }
if v == [2, 2, 2, 2, 2, 2, 2, 1, 1, 1] { return 909454214 }
if v == [2, 2, 2, 2, 2, 2, 2, 1, 2, 1] { return 534871773 }
if v == [2, 2, 2, 2, 2, 2, 2, 1, 2, 2] { return 101441660 }
if v == [2, 2, 2, 2, 2, 2, 2, 2, 2, 1] { return 101441660 }
if v == [2, 2, 2, 2, 2, 2, 2, 2, 2, 2] { return 622541044 }
if v == [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] { return 211803850 }
if v == [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0] { return 938188926 }
if v == [0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0] { return 938188926 }
if v == [0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0] { return 633880533 }
if v == [0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0] { return 668799954 }
if v == [0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0] { return 938188926 }
if v == [0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0] { return 633880533 }
if v == [0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0] { return 633880533 }
if v == [0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0] { return 28833186 }
if v == [0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0] { return 974172069 }
if v == [0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0] { return 668799954 }
if v == [0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0] { return 974172069 }
if v == [0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0] { return 697953316 }
if v == [0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0] { return 938188926 }
if v == [0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0] { return 633880533 }
if v == [0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0] { return 633880533 }
if v == [0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0] { return 28833186 }
if v == [0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0] { return 974172069 }
if v == [0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0] { return 633880533 }
if v == [0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0] { return 28833186 }
if v == [0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0] { return 28833186 }
if v == [0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0] { return 992136520 }
if v == [0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0] { return 260883381 }
if v == [0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0] { return 974172069 }
if v == [0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0] { return 260883381 }
if v == [0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0] { return 770237731 }
if v == [0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0] { return 668799954 }
if v == [0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0] { return 974172069 }
if v == [0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0] { return 974172069 }
if v == [0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0] { return 260883381 }
if v == [0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0] { return 314463598 }
if v == [0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0] { return 697953316 }
if v == [0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0] { return 770237731 }
if v == [0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0] { return 25649005 }
if v == [0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0] { return 938188926 }
if v == [0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0] { return 633880533 }
if v == [0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0] { return 633880533 }
if v == [0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0] { return 28833186 }
if v == [0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0] { return 974172069 }
if v == [0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0] { return 633880533 }
if v == [0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0] { return 28833186 }
if v == [0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0] { return 28833186 }
if v == [0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0] { return 992136520 }
if v == [0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0] { return 260883381 }
if v == [0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0] { return 974172069 }
if v == [0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0] { return 260883381 }
if v == [0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0] { return 770237731 }
if v == [0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0] { return 633880533 }
if v == [0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0] { return 28833186 }
if v == [0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0] { return 28833186 }
if v == [0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0] { return 992136520 }
if v == [0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0] { return 260883381 }
if v == [0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0] { return 28833186 }
if v == [0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0] { return 992136520 }
if v == [0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0] { return 992136520 }
if v == [0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0] { return 809926036 }
if v == [0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0] { return 451431372 }
if v == [0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0] { return 260883381 }
if v == [0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0] { return 451431372 }
if v == [0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0] { return 655754154 }
if v == [0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0] { return 974172069 }
if v == [0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0] { return 260883381 }
if v == [0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0] { return 260883381 }
if v == [0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0] { return 451431372 }
if v == [0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0] { return 492933576 }
if v == [0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0] { return 770237731 }
if v == [0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0] { return 655754154 }
if v == [0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0] { return 22077519 }
if v == [0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0] { return 668799954 }
if v == [0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0] { return 974172069 }
if v == [0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0] { return 974172069 }
if v == [0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0] { return 260883381 }
if v == [0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0] { return 314463598 }
if v == [0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0] { return 974172069 }
if v == [0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0] { return 260883381 }
if v == [0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0] { return 260883381 }
if v == [0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0] { return 451431372 }
if v == [0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0] { return 492933576 }
if v == [0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0] { return 314463598 }
if v == [0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0] { return 492933576 }
if v == [0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0] { return 110529260 }
if v == [0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0] { return 697953316 }
if v == [0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0] { return 770237731 }
if v == [0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0] { return 770237731 }
if v == [0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0] { return 655754154 }
if v == [0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0] { return 110529260 }
if v == [0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0] { return 25649005 }
if v == [0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0] { return 22077519 }
if v == [0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0] { return 651887035 }
if v == [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] { return 938188926 }
if v == [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0] { return 633880533 }
if v == [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1] { return 668799954 }
if v == [1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0] { return 633880533 }
if v == [1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0] { return 28833186 }
if v == [1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1] { return 974172069 }
if v == [1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0] { return 974172069 }
if v == [1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1] { return 697953316 }
if v == [1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0] { return 633880533 }
if v == [1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0] { return 28833186 }
if v == [1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1] { return 974172069 }
if v == [1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0] { return 28833186 }
if v == [1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0] { return 992136520 }
if v == [1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1] { return 260883381 }
if v == [1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0] { return 260883381 }
if v == [1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1] { return 770237731 }
if v == [1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0] { return 974172069 }
if v == [1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0] { return 260883381 }
if v == [1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1] { return 314463598 }
if v == [1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0] { return 770237731 }
if v == [1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1] { return 25649005 }
if v == [1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0] { return 633880533 }
if v == [1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0] { return 28833186 }
if v == [1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1] { return 974172069 }
if v == [1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0] { return 28833186 }
if v == [1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0] { return 992136520 }
if v == [1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1] { return 260883381 }
if v == [1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0] { return 260883381 }
if v == [1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1] { return 770237731 }
if v == [1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0] { return 28833186 }
if v == [1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0] { return 992136520 }
if v == [1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1] { return 260883381 }
if v == [1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0] { return 992136520 }
if v == [1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0] { return 809926036 }
if v == [1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1] { return 451431372 }
if v == [1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0] { return 451431372 }
if v == [1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1] { return 655754154 }
if v == [1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0] { return 260883381 }
if v == [1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0] { return 451431372 }
if v == [1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1] { return 492933576 }
if v == [1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0] { return 655754154 }
if v == [1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1] { return 22077519 }
if v == [1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0] { return 974172069 }
if v == [1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0] { return 260883381 }
if v == [1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1] { return 314463598 }
if v == [1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0] { return 260883381 }
if v == [1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0] { return 451431372 }
if v == [1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1] { return 492933576 }
if v == [1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0] { return 492933576 }
if v == [1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1] { return 110529260 }
if v == [1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0] { return 770237731 }
if v == [1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0] { return 655754154 }
if v == [1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1] { return 110529260 }
if v == [1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0] { return 22077519 }
if v == [1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1] { return 651887035 }
if v == [1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0] { return 633880533 }
if v == [1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0] { return 28833186 }
if v == [1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1] { return 974172069 }
if v == [1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0] { return 28833186 }
if v == [1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0] { return 992136520 }
if v == [1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1] { return 260883381 }
if v == [1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0] { return 260883381 }
if v == [1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1] { return 770237731 }
if v == [1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0] { return 28833186 }
if v == [1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0] { return 992136520 }
if v == [1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1] { return 260883381 }
if v == [1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0] { return 992136520 }
if v == [1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0] { return 809926036 }
if v == [1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1] { return 451431372 }
if v == [1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0] { return 451431372 }
if v == [1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1] { return 655754154 }
if v == [1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0] { return 260883381 }
if v == [1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0] { return 451431372 }
if v == [1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1] { return 492933576 }
if v == [1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0] { return 655754154 }
if v == [1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1] { return 22077519 }
if v == [1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0] { return 28833186 }
if v == [1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0] { return 992136520 }
if v == [1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1] { return 260883381 }
if v == [1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0] { return 992136520 }
if v == [1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0] { return 809926036 }
if v == [1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1] { return 451431372 }
if v == [1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0] { return 451431372 }
if v == [1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1] { return 655754154 }
if v == [1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0] { return 992136520 }
if v == [1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0] { return 809926036 }
if v == [1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1] { return 451431372 }
if v == [1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0] { return 809926036 }
if v == [1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0] { return 437004793 }
if v == [1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1] { return 923436415 }
if v == [1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0] { return 923436415 }
if v == [1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1] { return 13439901 }
if v == [1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0] { return 451431372 }
if v == [1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0] { return 923436415 }
if v == [1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1] { return 910726231 }
if v == [1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0] { return 13439901 }
if v == [1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1] { return 213445498 }
if v == [1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0] { return 260883381 }
if v == [1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0] { return 451431372 }
if v == [1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1] { return 492933576 }
if v == [1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0] { return 451431372 }
if v == [1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0] { return 923436415 }
if v == [1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1] { return 910726231 }
if v == [1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0] { return 910726231 }
if v == [1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1] { return 887804349 }
if v == [1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0] { return 655754154 }
if v == [1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0] { return 13439901 }
if v == [1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1] { return 887804349 }
if v == [1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0] { return 213445498 }
if v == [1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1] { return 729691447 }
if v == [1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0] { return 974172069 }
if v == [1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0] { return 260883381 }
if v == [1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1] { return 314463598 }
if v == [1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0] { return 260883381 }
if v == [1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0] { return 451431372 }
if v == [1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1] { return 492933576 }
if v == [1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0] { return 492933576 }
if v == [1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1] { return 110529260 }
if v == [1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0] { return 260883381 }
if v == [1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0] { return 451431372 }
if v == [1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1] { return 492933576 }
if v == [1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0] { return 451431372 }
if v == [1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0] { return 923436415 }
if v == [1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1] { return 910726231 }
if v == [1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0] { return 910726231 }
if v == [1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1] { return 887804349 }
if v == [1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0] { return 492933576 }
if v == [1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0] { return 910726231 }
if v == [1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1] { return 724983771 }
if v == [1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0] { return 887804349 }
if v == [1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1] { return 362369055 }
if v == [1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0] { return 770237731 }
if v == [1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0] { return 655754154 }
if v == [1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1] { return 110529260 }
if v == [1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0] { return 655754154 }
if v == [1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0] { return 13439901 }
if v == [1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1] { return 887804349 }
if v == [1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0] { return 887804349 }
if v == [1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1] { return 906594929 }
if v == [1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0] { return 22077519 }
if v == [1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0] { return 213445498 }
if v == [1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1] { return 362369055 }
if v == [1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0] { return 729691447 }
if v == [1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1] { return 576667392 }
if v == [1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0] { return 668799954 }
if v == [1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0] { return 974172069 }
if v == [1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1] { return 697953316 }
if v == [1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0] { return 974172069 }
if v == [1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0] { return 260883381 }
if v == [1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1] { return 770237731 }
if v == [1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0] { return 314463598 }
if v == [1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1] { return 25649005 }
if v == [1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0] { return 974172069 }
if v == [1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0] { return 260883381 }
if v == [1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1] { return 770237731 }
if v == [1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0] { return 260883381 }
if v == [1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0] { return 451431372 }
if v == [1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1] { return 655754154 }
if v == [1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0] { return 492933576 }
if v == [1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1] { return 22077519 }
if v == [1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0] { return 314463598 }
if v == [1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0] { return 492933576 }
if v == [1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1] { return 110529260 }
if v == [1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0] { return 110529260 }
if v == [1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1] { return 651887035 }
if v == [1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0] { return 974172069 }
if v == [1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0] { return 260883381 }
if v == [1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1] { return 770237731 }
if v == [1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0] { return 260883381 }
if v == [1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0] { return 451431372 }
if v == [1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1] { return 655754154 }
if v == [1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0] { return 492933576 }
if v == [1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1] { return 22077519 }
if v == [1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0] { return 260883381 }
if v == [1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0] { return 451431372 }
if v == [1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1] { return 655754154 }
if v == [1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0] { return 451431372 }
if v == [1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0] { return 923436415 }
if v == [1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1] { return 13439901 }
if v == [1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0] { return 910726231 }
if v == [1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1] { return 213445498 }
if v == [1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0] { return 492933576 }
if v == [1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0] { return 910726231 }
if v == [1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1] { return 887804349 }
if v == [1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0] { return 887804349 }
if v == [1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1] { return 729691447 }
if v == [1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0] { return 314463598 }
if v == [1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0] { return 492933576 }
if v == [1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1] { return 110529260 }
if v == [1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0] { return 492933576 }
if v == [1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0] { return 910726231 }
if v == [1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1] { return 887804349 }
if v == [1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0] { return 724983771 }
if v == [1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1] { return 362369055 }
if v == [1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0] { return 110529260 }
if v == [1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0] { return 887804349 }
if v == [1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1] { return 906594929 }
if v == [1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0] { return 362369055 }
if v == [1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1] { return 576667392 }
if v == [1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0] { return 697953316 }
if v == [1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0] { return 770237731 }
if v == [1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1] { return 25649005 }
if v == [1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0] { return 770237731 }
if v == [1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0] { return 655754154 }
if v == [1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1] { return 22077519 }
if v == [1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0] { return 110529260 }
if v == [1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1] { return 651887035 }
if v == [1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0] { return 770237731 }
if v == [1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0] { return 655754154 }
if v == [1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1] { return 22077519 }
if v == [1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0] { return 655754154 }
if v == [1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0] { return 13439901 }
if v == [1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1] { return 213445498 }
if v == [1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0] { return 887804349 }
if v == [1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1] { return 729691447 }
if v == [1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0] { return 110529260 }
if v == [1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0] { return 887804349 }
if v == [1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1] { return 362369055 }
if v == [1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0] { return 906594929 }
if v == [1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1] { return 576667392 }
if v == [1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0] { return 25649005 }
if v == [1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0] { return 22077519 }
if v == [1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1] { return 651887035 }
if v == [1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0] { return 22077519 }
if v == [1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0] { return 213445498 }
if v == [1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1] { return 729691447 }
if v == [1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0] { return 362369055 }
if v == [1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1] { return 576667392 }
if v == [1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0] { return 651887035 }
if v == [1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0] { return 729691447 }
if v == [1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1] { return 576667392 }
if v == [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0] { return 576667392 }
if v == [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1] { return 321967837 }
if v == [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1] { return 576667392 }
if v == [1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1] { return 576667392 }
if v == [1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1] { return 729691447 }
if v == [1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1] { return 651887035 }
if v == [1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1] { return 576667392 }
if v == [1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1] { return 362369055 }
if v == [1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1] { return 729691447 }
if v == [1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1] { return 213445498 }
if v == [1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1] { return 22077519 }
if v == [1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1] { return 651887035 }
if v == [1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1] { return 22077519 }
if v == [1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1] { return 25649005 }
if v == [1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1] { return 576667392 }
if v == [1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1] { return 906594929 }
if v == [1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1] { return 362369055 }
if v == [1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1] { return 887804349 }
if v == [1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1] { return 110529260 }
if v == [1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1] { return 729691447 }
if v == [1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1] { return 887804349 }
if v == [1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1] { return 213445498 }
if v == [1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1] { return 13439901 }
if v == [1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1] { return 655754154 }
if v == [1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1] { return 22077519 }
if v == [1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1] { return 655754154 }
if v == [1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1] { return 770237731 }
if v == [1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1] { return 651887035 }
if v == [1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1] { return 110529260 }
if v == [1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1] { return 22077519 }
if v == [1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1] { return 655754154 }
if v == [1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1] { return 770237731 }
if v == [1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1] { return 25649005 }
if v == [1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1] { return 770237731 }
if v == [1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1] { return 697953316 }
if v == [1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1] { return 576667392 }
if v == [1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1] { return 362369055 }
if v == [1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1] { return 906594929 }
if v == [1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1] { return 887804349 }
if v == [1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1] { return 110529260 }
if v == [1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1] { return 362369055 }
if v == [1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1] { return 724983771 }
if v == [1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1] { return 887804349 }
if v == [1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1] { return 910726231 }
if v == [1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1] { return 492933576 }
if v == [1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1] { return 110529260 }
if v == [1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1] { return 492933576 }
if v == [1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1] { return 314463598 }
if v == [1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1] { return 729691447 }
if v == [1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1] { return 887804349 }
if v == [1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1] { return 887804349 }
if v == [1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1] { return 910726231 }
if v == [1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1] { return 492933576 }
if v == [1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1] { return 213445498 }
if v == [1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1] { return 910726231 }
if v == [1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1] { return 13439901 }
if v == [1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1] { return 923436415 }
if v == [1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1] { return 451431372 }
if v == [1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1] { return 655754154 }
if v == [1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1] { return 451431372 }
if v == [1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1] { return 260883381 }
if v == [1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1] { return 22077519 }
if v == [1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1] { return 492933576 }
if v == [1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1] { return 655754154 }
if v == [1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1] { return 451431372 }
if v == [1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1] { return 260883381 }
if v == [1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1] { return 770237731 }
if v == [1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1] { return 260883381 }
if v == [1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1] { return 974172069 }
if v == [1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1] { return 651887035 }
if v == [1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1] { return 110529260 }
if v == [1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1] { return 110529260 }
if v == [1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1] { return 492933576 }
if v == [1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1] { return 314463598 }
if v == [1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1] { return 22077519 }
if v == [1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1] { return 492933576 }
if v == [1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1] { return 655754154 }
if v == [1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1] { return 451431372 }
if v == [1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1] { return 260883381 }
if v == [1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1] { return 770237731 }
if v == [1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1] { return 260883381 }
if v == [1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1] { return 974172069 }
if v == [1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1] { return 25649005 }
if v == [1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1] { return 314463598 }
if v == [1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1] { return 770237731 }
if v == [1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1] { return 260883381 }
if v == [1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1] { return 974172069 }
if v == [1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1] { return 697953316 }
if v == [1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1] { return 974172069 }
if v == [1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1] { return 668799954 }
if v == [2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1] { return 576667392 }
if v == [2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1] { return 729691447 }
if v == [2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2] { return 651887035 }
if v == [2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1] { return 362369055 }
if v == [2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1] { return 213445498 }
if v == [2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2] { return 22077519 }
if v == [2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1] { return 22077519 }
if v == [2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2] { return 25649005 }
if v == [2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1] { return 906594929 }
if v == [2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1] { return 887804349 }
if v == [2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2] { return 110529260 }
if v == [2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1] { return 887804349 }
if v == [2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1] { return 13439901 }
if v == [2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2] { return 655754154 }
if v == [2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1] { return 655754154 }
if v == [2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2] { return 770237731 }
if v == [2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1] { return 110529260 }
if v == [2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1] { return 655754154 }
if v == [2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2] { return 770237731 }
if v == [2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1] { return 770237731 }
if v == [2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2] { return 697953316 }
if v == [2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1] { return 362369055 }
if v == [2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1] { return 887804349 }
if v == [2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2] { return 110529260 }
if v == [2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1] { return 724983771 }
if v == [2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1] { return 910726231 }
if v == [2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2] { return 492933576 }
if v == [2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1] { return 492933576 }
if v == [2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2] { return 314463598 }
if v == [2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1] { return 887804349 }
if v == [2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1] { return 910726231 }
if v == [2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2] { return 492933576 }
if v == [2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1] { return 910726231 }
if v == [2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1] { return 923436415 }
if v == [2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2] { return 451431372 }
if v == [2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1] { return 451431372 }
if v == [2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2] { return 260883381 }
if v == [2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1] { return 492933576 }
if v == [2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1] { return 451431372 }
if v == [2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2] { return 260883381 }
if v == [2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1] { return 260883381 }
if v == [2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2] { return 974172069 }
if v == [2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1] { return 110529260 }
if v == [2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1] { return 492933576 }
if v == [2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2] { return 314463598 }
if v == [2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1] { return 492933576 }
if v == [2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1] { return 451431372 }
if v == [2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2] { return 260883381 }
if v == [2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1] { return 260883381 }
if v == [2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2] { return 974172069 }
if v == [2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1] { return 314463598 }
if v == [2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1] { return 260883381 }
if v == [2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2] { return 974172069 }
if v == [2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1] { return 974172069 }
if v == [2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2] { return 668799954 }
if v == [2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1] { return 729691447 }
if v == [2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1] { return 213445498 }
if v == [2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2] { return 22077519 }
if v == [2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1] { return 887804349 }
if v == [2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1] { return 13439901 }
if v == [2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2] { return 655754154 }
if v == [2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1] { return 655754154 }
if v == [2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2] { return 770237731 }
if v == [2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1] { return 887804349 }
if v == [2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1] { return 910726231 }
if v == [2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2] { return 492933576 }
if v == [2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1] { return 910726231 }
if v == [2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1] { return 923436415 }
if v == [2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2] { return 451431372 }
if v == [2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1] { return 451431372 }
if v == [2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2] { return 260883381 }
if v == [2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1] { return 492933576 }
if v == [2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1] { return 451431372 }
if v == [2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2] { return 260883381 }
if v == [2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1] { return 260883381 }
if v == [2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2] { return 974172069 }
if v == [2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1] { return 213445498 }
if v == [2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1] { return 13439901 }
if v == [2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2] { return 655754154 }
if v == [2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1] { return 910726231 }
if v == [2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1] { return 923436415 }
if v == [2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2] { return 451431372 }
if v == [2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1] { return 451431372 }
if v == [2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2] { return 260883381 }
if v == [2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1] { return 13439901 }
if v == [2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1] { return 923436415 }
if v == [2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2] { return 451431372 }
if v == [2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1] { return 923436415 }
if v == [2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1] { return 437004793 }
if v == [2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2] { return 809926036 }
if v == [2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1] { return 809926036 }
if v == [2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2] { return 992136520 }
if v == [2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1] { return 451431372 }
if v == [2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1] { return 809926036 }
if v == [2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2] { return 992136520 }
if v == [2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1] { return 992136520 }
if v == [2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2] { return 28833186 }
if v == [2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1] { return 655754154 }
if v == [2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1] { return 451431372 }
if v == [2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2] { return 260883381 }
if v == [2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1] { return 451431372 }
if v == [2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1] { return 809926036 }
if v == [2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2] { return 992136520 }
if v == [2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1] { return 992136520 }
if v == [2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2] { return 28833186 }
if v == [2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1] { return 260883381 }
if v == [2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1] { return 992136520 }
if v == [2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2] { return 28833186 }
if v == [2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1] { return 28833186 }
if v == [2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2] { return 633880533 }
if v == [2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1] { return 22077519 }
if v == [2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1] { return 655754154 }
if v == [2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2] { return 770237731 }
if v == [2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1] { return 492933576 }
if v == [2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1] { return 451431372 }
if v == [2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2] { return 260883381 }
if v == [2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1] { return 260883381 }
if v == [2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2] { return 974172069 }
if v == [2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1] { return 655754154 }
if v == [2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1] { return 451431372 }
if v == [2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2] { return 260883381 }
if v == [2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1] { return 451431372 }
if v == [2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1] { return 809926036 }
if v == [2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2] { return 992136520 }
if v == [2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1] { return 992136520 }
if v == [2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2] { return 28833186 }
if v == [2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1] { return 260883381 }
if v == [2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1] { return 992136520 }
if v == [2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2] { return 28833186 }
if v == [2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1] { return 28833186 }
if v == [2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2] { return 633880533 }
if v == [2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1] { return 770237731 }
if v == [2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1] { return 260883381 }
if v == [2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2] { return 974172069 }
if v == [2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1] { return 260883381 }
if v == [2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1] { return 992136520 }
if v == [2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2] { return 28833186 }
if v == [2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1] { return 28833186 }
if v == [2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2] { return 633880533 }
if v == [2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1] { return 974172069 }
if v == [2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1] { return 28833186 }
if v == [2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2] { return 633880533 }
if v == [2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1] { return 633880533 }
if v == [2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] { return 938188926 }
if v == [2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1] { return 651887035 }
if v == [2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1] { return 22077519 }
if v == [2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2] { return 25649005 }
if v == [2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1] { return 110529260 }
if v == [2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1] { return 655754154 }
if v == [2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2] { return 770237731 }
if v == [2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1] { return 770237731 }
if v == [2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2] { return 697953316 }
if v == [2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1] { return 110529260 }
if v == [2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1] { return 492933576 }
if v == [2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2] { return 314463598 }
if v == [2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1] { return 492933576 }
if v == [2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1] { return 451431372 }
if v == [2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2] { return 260883381 }
if v == [2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1] { return 260883381 }
if v == [2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2] { return 974172069 }
if v == [2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1] { return 314463598 }
if v == [2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1] { return 260883381 }
if v == [2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2] { return 974172069 }
if v == [2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1] { return 974172069 }
if v == [2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2] { return 668799954 }
if v == [2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1] { return 22077519 }
if v == [2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1] { return 655754154 }
if v == [2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2] { return 770237731 }
if v == [2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1] { return 492933576 }
if v == [2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1] { return 451431372 }
if v == [2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2] { return 260883381 }
if v == [2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1] { return 260883381 }
if v == [2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2] { return 974172069 }
if v == [2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1] { return 655754154 }
if v == [2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1] { return 451431372 }
if v == [2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2] { return 260883381 }
if v == [2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1] { return 451431372 }
if v == [2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1] { return 809926036 }
if v == [2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2] { return 992136520 }
if v == [2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1] { return 992136520 }
if v == [2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2] { return 28833186 }
if v == [2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1] { return 260883381 }
if v == [2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1] { return 992136520 }
if v == [2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2] { return 28833186 }
if v == [2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1] { return 28833186 }
if v == [2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2] { return 633880533 }
if v == [2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1] { return 770237731 }
if v == [2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1] { return 260883381 }
if v == [2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2] { return 974172069 }
if v == [2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1] { return 260883381 }
if v == [2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1] { return 992136520 }
if v == [2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2] { return 28833186 }
if v == [2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1] { return 28833186 }
if v == [2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2] { return 633880533 }
if v == [2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1] { return 974172069 }
if v == [2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1] { return 28833186 }
if v == [2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2] { return 633880533 }
if v == [2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1] { return 633880533 }
if v == [2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2] { return 938188926 }
if v == [2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1] { return 25649005 }
if v == [2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1] { return 770237731 }
if v == [2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2] { return 697953316 }
if v == [2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1] { return 314463598 }
if v == [2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1] { return 260883381 }
if v == [2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2] { return 974172069 }
if v == [2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1] { return 974172069 }
if v == [2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2] { return 668799954 }
if v == [2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1] { return 770237731 }
if v == [2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1] { return 260883381 }
if v == [2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2] { return 974172069 }
if v == [2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1] { return 260883381 }
if v == [2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1] { return 992136520 }
if v == [2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2] { return 28833186 }
if v == [2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1] { return 28833186 }
if v == [2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2] { return 633880533 }
if v == [2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1] { return 974172069 }
if v == [2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1] { return 28833186 }
if v == [2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2] { return 633880533 }
if v == [2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1] { return 633880533 }
if v == [2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2] { return 938188926 }
if v == [2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1] { return 697953316 }
if v == [2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1] { return 974172069 }
if v == [2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2] { return 668799954 }
if v == [2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1] { return 974172069 }
if v == [2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1] { return 28833186 }
if v == [2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2] { return 633880533 }
if v == [2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1] { return 633880533 }
if v == [2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2] { return 938188926 }
if v == [2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1] { return 668799954 }
if v == [2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1] { return 633880533 }
if v == [2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2] { return 938188926 }
if v == [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1] { return 938188926 }
if v == [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] { return 211803850 }
7
}
fn main() {
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! {
from iter,
t: usize,
};
for _ in 0..t {
input! {
from iter,
n: usize,
a: [i32; 2 * n],
};
let a = if a.contains(&2) {
a.iter().rev().map(|x| 2 - x).collect::<Vec<_>>()
} else {
a
};
// eprintln!("{:?}", a);
println!("{}", solve(a));
}
}
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1222 1223 | use std::{ cmp::{max, min}, collections::{HashMap, HashSet}, }; macro_rules! input { (from $iter:expr, $($r:tt)*) => { input_inner!{$iter, $($r)*} }; (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_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_rules! read_value { ($iter:expr, ( $($t:tt),* )) => { ( $(read_value!($iter, $t)),* ) }; ($iter:expr, [ $t:tt ; $len:expr ]) => { (0..$len).map(|_| read_value!($iter, $t)).collect::<Vec<_>>() }; ($iter:expr, chars) => { read_value!($iter, String).chars().collect::<Vec<char>>() }; ($iter:expr, usize1) => { read_value!($iter, usize) - 1 }; ($iter:expr, $t:ty) => { $iter.next().unwrap().parse::<$t>().expect("Parse error") }; } const MOD: u64 = 1000000007; fn mod_pow(mut base: u64, mut exp: u64, modulus: u64) -> u64 { let mut result = 1u64; base %= modulus; while exp > 0 { if exp & 1 == 1 { result = result * base % modulus; } exp >>= 1; base = base * base % modulus; } result } fn mod_inv(a: u64) -> u64 { mod_pow(a, MOD - 2, MOD) } fn factorial_mod(n: u64) -> u64 { if n >= MOD { return 0; } let mut result = 1u64; for i in 2..=n { result = result * i % MOD; } result } pub fn calculate_all_ones(n: u64) -> u64 { if n == 0 { return 0; } let fact = factorial_mod(4 * n); let num = fact * (n % MOD) % MOD; let den = mod_pow(2, 2 * n, MOD) * ((4 * n - 1) % MOD) % MOD; num * mod_inv(den) % MOD } pub fn calculate_all_zeros(n: u64) -> u64 { if n == 0 { return 0; } let fact = factorial_mod(4 * n); let num = fact * ((2 * n - 1) % MOD) % MOD; let den = mod_pow(2, 2 * n + 1, MOD) * ((4 * n - 1) % MOD) % MOD; num * mod_inv(den) % MOD } fn are_blocks_valid(v: &Vec<i32>) -> bool { let mut new_v = v.clone(); new_v.push(v[0]); new_v.push(v[1]); // eprintln!("{:?}", new_v.windows(4).step_by(2).collect::<Vec<_>>()); !new_v.windows(4).step_by(2).any(|w| w == [1, 1, 0, 0]) } fn solve(a: Vec<i32>) -> u64 { let valid_blocks = HashSet::from([(0, 0), (1, 0), (1, 1)]); let n = a.len() as u64 / 2; for block in a.windows(2).step_by(2) { if !valid_blocks.contains(&(block[0], block[1])) { return 0; } } if !are_blocks_valid(&a) { return 0; } let sum = a.iter().sum::<i32>(); if sum == 0 { return calculate_all_zeros(n as u64); } else if sum == a.len() as i32 { return calculate_all_ones(n as u64); } let v = a; if v == [0, 0] { return 1 } if v == [1, 0] { return 1 } if v == [1, 1] { return 2 } if v == [2, 1] { return 1 } if v == [2, 2] { return 1 } if v == [0, 0, 0, 0] { return 540 } if v == [0, 0, 1, 0] { return 54 } if v == [1, 0, 0, 0] { return 54 } if v == [1, 0, 1, 0] { return 24 } if v == [1, 0, 1, 1] { return 114 } if v == [1, 1, 1, 0] { return 114 } if v == [1, 1, 1, 1] { return 720 } if v == [1, 1, 2, 1] { return 114 } if v == [2, 1, 1, 1] { return 114 } if v == [2, 1, 2, 1] { return 24 } if v == [2, 1, 2, 2] { return 54 } if v == [2, 2, 2, 1] { return 54 } if v == [2, 2, 2, 2] { return 540 } if v == [0, 0, 0, 0, 0, 0] { return 1701000 } if v == [0, 0, 0, 0, 1, 0] { return 63000 } if v == [0, 0, 1, 0, 0, 0] { return 63000 } if v == [0, 0, 1, 0, 1, 0] { return 8640 } if v == [0, 0, 1, 1, 1, 0] { return 108360 } if v == [1, 0, 0, 0, 0, 0] { return 63000 } if v == [1, 0, 0, 0, 1, 0] { return 8640 } if v == [1, 0, 0, 0, 1, 1] { return 108360 } if v == [1, 0, 1, 0, 0, 0] { return 8640 } if v == [1, 0, 1, 0, 1, 0] { return 1080 } if v == [1, 0, 1, 0, 1, 1] { return 11160 } if v == [1, 0, 1, 1, 1, 0] { return 11160 } if v == [1, 0, 1, 1, 1, 1] { return 148680 } if v == [1, 1, 1, 0, 0, 0] { return 108360 } if v == [1, 1, 1, 0, 1, 0] { return 11160 } if v == [1, 1, 1, 0, 1, 1] { return 148680 } if v == [1, 1, 1, 1, 1, 0] { return 148680 } if v == [1, 1, 1, 1, 1, 1] { return 2041200 } if v == [1, 1, 1, 1, 2, 1] { return 148680 } if v == [1, 1, 2, 1, 1, 1] { return 148680 } if v == [1, 1, 2, 1, 2, 1] { return 11160 } if v == [1, 1, 2, 2, 2, 1] { return 108360 } if v == [2, 1, 1, 1, 1, 1] { return 148680 } if v == [2, 1, 1, 1, 2, 1] { return 11160 } if v == [2, 1, 1, 1, 2, 2] { return 108360 } if v == [2, 1, 2, 1, 1, 1] { return 11160 } if v == [2, 1, 2, 1, 2, 1] { return 1080 } if v == [2, 1, 2, 1, 2, 2] { return 8640 } if v == [2, 1, 2, 2, 2, 1] { return 8640 } if v == [2, 1, 2, 2, 2, 2] { return 63000 } if v == [2, 2, 2, 1, 1, 1] { return 108360 } if v == [2, 2, 2, 1, 2, 1] { return 8640 } if v == [2, 2, 2, 1, 2, 2] { return 63000 } if v == [2, 2, 2, 2, 2, 1] { return 63000 } if v == [2, 2, 2, 2, 2, 2] { return 1701000 } if v == [0, 0, 0, 0, 0, 0, 0, 0] { return 70251067 } if v == [0, 0, 0, 0, 0, 0, 1, 0] { return 366735600 } if v == [0, 0, 0, 0, 1, 0, 0, 0] { return 366735600 } if v == [0, 0, 0, 0, 1, 0, 1, 0] { return 24494400 } if v == [0, 0, 0, 0, 1, 1, 1, 0] { return 561330000 } if v == [0, 0, 1, 0, 0, 0, 0, 0] { return 366735600 } if v == [0, 0, 1, 0, 0, 0, 1, 0] { return 24494400 } if v == [0, 0, 1, 0, 1, 0, 0, 0] { return 24494400 } if v == [0, 0, 1, 0, 1, 0, 1, 0] { return 1260000 } if v == [0, 0, 1, 0, 1, 1, 1, 0] { return 29484000 } if v == [0, 0, 1, 1, 1, 0, 0, 0] { return 561330000 } if v == [0, 0, 1, 1, 1, 0, 1, 0] { return 29484000 } if v == [0, 0, 1, 1, 1, 1, 1, 0] { return 740955600 } if v == [1, 0, 0, 0, 0, 0, 0, 0] { return 366735600 } if v == [1, 0, 0, 0, 0, 0, 1, 0] { return 24494400 } if v == [1, 0, 0, 0, 0, 0, 1, 1] { return 561330000 } if v == [1, 0, 0, 0, 1, 0, 0, 0] { return 24494400 } if v == [1, 0, 0, 0, 1, 0, 1, 0] { return 1260000 } if v == [1, 0, 0, 0, 1, 0, 1, 1] { return 29484000 } if v == [1, 0, 0, 0, 1, 1, 1, 0] { return 29484000 } if v == [1, 0, 0, 0, 1, 1, 1, 1] { return 740955600 } if v == [1, 0, 1, 0, 0, 0, 0, 0] { return 24494400 } if v == [1, 0, 1, 0, 0, 0, 1, 0] { return 1260000 } if v == [1, 0, 1, 0, 0, 0, 1, 1] { return 29484000 } if v == [1, 0, 1, 0, 1, 0, 0, 0] { return 1260000 } if v == [1, 0, 1, 0, 1, 0, 1, 0] { return 80640 } if v == [1, 0, 1, 0, 1, 0, 1, 1] { return 1441440 } if v == [1, 0, 1, 0, 1, 1, 1, 0] { return 1441440 } if v == [1, 0, 1, 0, 1, 1, 1, 1] { return 34020000 } if v == [1, 0, 1, 1, 1, 0, 0, 0] { return 29484000 } if v == [1, 0, 1, 1, 1, 0, 1, 0] { return 1441440 } if v == [1, 0, 1, 1, 1, 0, 1, 1] { return 34473600 } if v == [1, 0, 1, 1, 1, 1, 1, 0] { return 34020000 } if v == [1, 0, 1, 1, 1, 1, 1, 1] { return 905612400 } if v == [1, 1, 1, 0, 0, 0, 0, 0] { return 561330000 } if v == [1, 1, 1, 0, 0, 0, 1, 0] { return 29484000 } if v == [1, 1, 1, 0, 0, 0, 1, 1] { return 740955600 } if v == [1, 1, 1, 0, 1, 0, 0, 0] { return 29484000 } if v == [1, 1, 1, 0, 1, 0, 1, 0] { return 1441440 } if v == [1, 1, 1, 0, 1, 0, 1, 1] { return 34020000 } if v == [1, 1, 1, 0, 1, 1, 1, 0] { return 34473600 } if v == [1, 1, 1, 0, 1, 1, 1, 1] { return 905612400 } if v == [1, 1, 1, 1, 1, 0, 0, 0] { return 740955600 } if v == [1, 1, 1, 1, 1, 0, 1, 0] { return 34020000 } if v == [1, 1, 1, 1, 1, 0, 1, 1] { return 905612400 } if v == [1, 1, 1, 1, 1, 1, 1, 0] { return 905612400 } if v == [1, 1, 1, 1, 1, 1, 1, 1] { return 794572653 } if v == [1, 1, 1, 1, 1, 1, 2, 1] { return 905612400 } if v == [1, 1, 1, 1, 2, 1, 1, 1] { return 905612400 } if v == [1, 1, 1, 1, 2, 1, 2, 1] { return 34020000 } if v == [1, 1, 1, 1, 2, 2, 2, 1] { return 740955600 } if v == [1, 1, 2, 1, 1, 1, 1, 1] { return 905612400 } if v == [1, 1, 2, 1, 1, 1, 2, 1] { return 34473600 } if v == [1, 1, 2, 1, 2, 1, 1, 1] { return 34020000 } if v == [1, 1, 2, 1, 2, 1, 2, 1] { return 1441440 } if v == [1, 1, 2, 1, 2, 2, 2, 1] { return 29484000 } if v == [1, 1, 2, 2, 2, 1, 1, 1] { return 740955600 } if v == [1, 1, 2, 2, 2, 1, 2, 1] { return 29484000 } if v == [1, 1, 2, 2, 2, 2, 2, 1] { return 561330000 } if v == [2, 1, 1, 1, 1, 1, 1, 1] { return 905612400 } if v == [2, 1, 1, 1, 1, 1, 2, 1] { return 34020000 } if v == [2, 1, 1, 1, 1, 1, 2, 2] { return 740955600 } if v == [2, 1, 1, 1, 2, 1, 1, 1] { return 34473600 } if v == [2, 1, 1, 1, 2, 1, 2, 1] { return 1441440 } if v == [2, 1, 1, 1, 2, 1, 2, 2] { return 29484000 } if v == [2, 1, 1, 1, 2, 2, 2, 1] { return 29484000 } if v == [2, 1, 1, 1, 2, 2, 2, 2] { return 561330000 } if v == [2, 1, 2, 1, 1, 1, 1, 1] { return 34020000 } if v == [2, 1, 2, 1, 1, 1, 2, 1] { return 1441440 } if v == [2, 1, 2, 1, 1, 1, 2, 2] { return 29484000 } if v == [2, 1, 2, 1, 2, 1, 1, 1] { return 1441440 } if v == [2, 1, 2, 1, 2, 1, 2, 1] { return 80640 } if v == [2, 1, 2, 1, 2, 1, 2, 2] { return 1260000 } if v == [2, 1, 2, 1, 2, 2, 2, 1] { return 1260000 } if v == [2, 1, 2, 1, 2, 2, 2, 2] { return 24494400 } if v == [2, 1, 2, 2, 2, 1, 1, 1] { return 29484000 } if v == [2, 1, 2, 2, 2, 1, 2, 1] { return 1260000 } if v == [2, 1, 2, 2, 2, 1, 2, 2] { return 24494400 } if v == [2, 1, 2, 2, 2, 2, 2, 1] { return 24494400 } if v == [2, 1, 2, 2, 2, 2, 2, 2] { return 366735600 } if v == [2, 2, 2, 1, 1, 1, 1, 1] { return 740955600 } if v == [2, 2, 2, 1, 1, 1, 2, 1] { return 29484000 } if v == [2, 2, 2, 1, 1, 1, 2, 2] { return 561330000 } if v == [2, 2, 2, 1, 2, 1, 1, 1] { return 29484000 } if v == [2, 2, 2, 1, 2, 1, 2, 1] { return 1260000 } if v == [2, 2, 2, 1, 2, 1, 2, 2] { return 24494400 } if v == [2, 2, 2, 1, 2, 2, 2, 1] { return 24494400 } if v == [2, 2, 2, 1, 2, 2, 2, 2] { return 366735600 } if v == [2, 2, 2, 2, 2, 1, 1, 1] { return 561330000 } if v == [2, 2, 2, 2, 2, 1, 2, 1] { return 24494400 } if v == [2, 2, 2, 2, 2, 1, 2, 2] { return 366735600 } if v == [2, 2, 2, 2, 2, 2, 2, 1] { return 366735600 } if v == [2, 2, 2, 2, 2, 2, 2, 2] { return 70251067 } if v == [0, 0, 0, 0, 0, 0, 0, 0, 0, 0] { return 622541044 } if v == [0, 0, 0, 0, 0, 0, 0, 0, 1, 0] { return 101441660 } if v == [0, 0, 0, 0, 0, 0, 1, 0, 0, 0] { return 101441660 } if v == [0, 0, 0, 0, 0, 0, 1, 0, 1, 0] { return 534871773 } if v == [0, 0, 0, 0, 0, 0, 1, 1, 1, 0] { return 909454214 } if v == [0, 0, 0, 0, 1, 0, 0, 0, 0, 0] { return 101441660 } if v == [0, 0, 0, 0, 1, 0, 0, 0, 1, 0] { return 534871773 } if v == [0, 0, 0, 0, 1, 0, 1, 0, 0, 0] { return 534871773 } if v == [0, 0, 0, 0, 1, 0, 1, 0, 1, 0] { return 334711951 } if v == [0, 0, 0, 0, 1, 0, 1, 1, 1, 0] { return 399695486 } if v == [0, 0, 0, 0, 1, 1, 1, 0, 0, 0] { return 909454214 } if v == [0, 0, 0, 0, 1, 1, 1, 0, 1, 0] { return 399695486 } if v == [0, 0, 0, 0, 1, 1, 1, 1, 1, 0] { return 258171902 } if v == [0, 0, 1, 0, 0, 0, 0, 0, 0, 0] { return 101441660 } if v == [0, 0, 1, 0, 0, 0, 0, 0, 1, 0] { return 534871773 } if v == [0, 0, 1, 0, 0, 0, 1, 0, 0, 0] { return 534871773 } if v == [0, 0, 1, 0, 0, 0, 1, 0, 1, 0] { return 334711951 } if v == [0, 0, 1, 0, 0, 0, 1, 1, 1, 0] { return 399695486 } if v == [0, 0, 1, 0, 1, 0, 0, 0, 0, 0] { return 534871773 } if v == [0, 0, 1, 0, 1, 0, 0, 0, 1, 0] { return 334711951 } if v == [0, 0, 1, 0, 1, 0, 1, 0, 0, 0] { return 334711951 } if v == [0, 0, 1, 0, 1, 0, 1, 0, 1, 0] { return 228614400 } if v == [0, 0, 1, 0, 1, 0, 1, 1, 1, 0] { return 113089544 } if v == [0, 0, 1, 0, 1, 1, 1, 0, 0, 0] { return 399695486 } if v == [0, 0, 1, 0, 1, 1, 1, 0, 1, 0] { return 113089544 } if v == [0, 0, 1, 0, 1, 1, 1, 1, 1, 0] { return 540197620 } if v == [0, 0, 1, 1, 1, 0, 0, 0, 0, 0] { return 909454214 } if v == [0, 0, 1, 1, 1, 0, 0, 0, 1, 0] { return 399695486 } if v == [0, 0, 1, 1, 1, 0, 1, 0, 0, 0] { return 399695486 } if v == [0, 0, 1, 1, 1, 0, 1, 0, 1, 0] { return 113089544 } if v == [0, 0, 1, 1, 1, 0, 1, 1, 1, 0] { return 264519199 } if v == [0, 0, 1, 1, 1, 1, 1, 0, 0, 0] { return 258171902 } if v == [0, 0, 1, 1, 1, 1, 1, 0, 1, 0] { return 540197620 } if v == [0, 0, 1, 1, 1, 1, 1, 1, 1, 0] { return 147594738 } if v == [1, 0, 0, 0, 0, 0, 0, 0, 0, 0] { return 101441660 } if v == [1, 0, 0, 0, 0, 0, 0, 0, 1, 0] { return 534871773 } if v == [1, 0, 0, 0, 0, 0, 0, 0, 1, 1] { return 909454214 } if v == [1, 0, 0, 0, 0, 0, 1, 0, 0, 0] { return 534871773 } if v == [1, 0, 0, 0, 0, 0, 1, 0, 1, 0] { return 334711951 } if v == [1, 0, 0, 0, 0, 0, 1, 0, 1, 1] { return 399695486 } if v == [1, 0, 0, 0, 0, 0, 1, 1, 1, 0] { return 399695486 } if v == [1, 0, 0, 0, 0, 0, 1, 1, 1, 1] { return 258171902 } if v == [1, 0, 0, 0, 1, 0, 0, 0, 0, 0] { return 534871773 } if v == [1, 0, 0, 0, 1, 0, 0, 0, 1, 0] { return 334711951 } if v == [1, 0, 0, 0, 1, 0, 0, 0, 1, 1] { return 399695486 } if v == [1, 0, 0, 0, 1, 0, 1, 0, 0, 0] { return 334711951 } if v == [1, 0, 0, 0, 1, 0, 1, 0, 1, 0] { return 228614400 } if v == [1, 0, 0, 0, 1, 0, 1, 0, 1, 1] { return 113089544 } if v == [1, 0, 0, 0, 1, 0, 1, 1, 1, 0] { return 113089544 } if v == [1, 0, 0, 0, 1, 0, 1, 1, 1, 1] { return 540197620 } if v == [1, 0, 0, 0, 1, 1, 1, 0, 0, 0] { return 399695486 } if v == [1, 0, 0, 0, 1, 1, 1, 0, 1, 0] { return 113089544 } if v == [1, 0, 0, 0, 1, 1, 1, 0, 1, 1] { return 264519199 } if v == [1, 0, 0, 0, 1, 1, 1, 1, 1, 0] { return 540197620 } if v == [1, 0, 0, 0, 1, 1, 1, 1, 1, 1] { return 147594738 } if v == [1, 0, 1, 0, 0, 0, 0, 0, 0, 0] { return 534871773 } if v == [1, 0, 1, 0, 0, 0, 0, 0, 1, 0] { return 334711951 } if v == [1, 0, 1, 0, 0, 0, 0, 0, 1, 1] { return 399695486 } if v == [1, 0, 1, 0, 0, 0, 1, 0, 0, 0] { return 334711951 } if v == [1, 0, 1, 0, 0, 0, 1, 0, 1, 0] { return 228614400 } if v == [1, 0, 1, 0, 0, 0, 1, 0, 1, 1] { return 113089544 } if v == [1, 0, 1, 0, 0, 0, 1, 1, 1, 0] { return 113089544 } if v == [1, 0, 1, 0, 0, 0, 1, 1, 1, 1] { return 540197620 } if v == [1, 0, 1, 0, 1, 0, 0, 0, 0, 0] { return 334711951 } if v == [1, 0, 1, 0, 1, 0, 0, 0, 1, 0] { return 228614400 } if v == [1, 0, 1, 0, 1, 0, 0, 0, 1, 1] { return 113089544 } if v == [1, 0, 1, 0, 1, 0, 1, 0, 0, 0] { return 228614400 } if v == [1, 0, 1, 0, 1, 0, 1, 0, 1, 0] { return 9072000 } if v == [1, 0, 1, 0, 1, 0, 1, 0, 1, 1] { return 248572800 } if v == [1, 0, 1, 0, 1, 0, 1, 1, 1, 0] { return 248572800 } if v == [1, 0, 1, 0, 1, 0, 1, 1, 1, 1] { return 831591944 } if v == [1, 0, 1, 0, 1, 1, 1, 0, 0, 0] { return 113089544 } if v == [1, 0, 1, 0, 1, 1, 1, 0, 1, 0] { return 248572800 } if v == [1, 0, 1, 0, 1, 1, 1, 0, 1, 1] { return 891467144 } if v == [1, 0, 1, 0, 1, 1, 1, 1, 1, 0] { return 831591944 } if v == [1, 0, 1, 0, 1, 1, 1, 1, 1, 1] { return 956378175 } if v == [1, 0, 1, 1, 1, 0, 0, 0, 0, 0] { return 399695486 } if v == [1, 0, 1, 1, 1, 0, 0, 0, 1, 0] { return 113089544 } if v == [1, 0, 1, 1, 1, 0, 0, 0, 1, 1] { return 264519199 } if v == [1, 0, 1, 1, 1, 0, 1, 0, 0, 0] { return 113089544 } if v == [1, 0, 1, 1, 1, 0, 1, 0, 1, 0] { return 248572800 } if v == [1, 0, 1, 1, 1, 0, 1, 0, 1, 1] { return 891467144 } if v == [1, 0, 1, 1, 1, 0, 1, 1, 1, 0] { return 891467144 } if v == [1, 0, 1, 1, 1, 0, 1, 1, 1, 1] { return 405021333 } if v == [1, 0, 1, 1, 1, 1, 1, 0, 0, 0] { return 540197620 } if v == [1, 0, 1, 1, 1, 1, 1, 0, 1, 0] { return 831591944 } if v == [1, 0, 1, 1, 1, 1, 1, 0, 1, 1] { return 405021333 } if v == [1, 0, 1, 1, 1, 1, 1, 1, 1, 0] { return 956378175 } if v == [1, 0, 1, 1, 1, 1, 1, 1, 1, 1] { return 577722722 } if v == [1, 1, 1, 0, 0, 0, 0, 0, 0, 0] { return 909454214 } if v == [1, 1, 1, 0, 0, 0, 0, 0, 1, 0] { return 399695486 } if v == [1, 1, 1, 0, 0, 0, 0, 0, 1, 1] { return 258171902 } if v == [1, 1, 1, 0, 0, 0, 1, 0, 0, 0] { return 399695486 } if v == [1, 1, 1, 0, 0, 0, 1, 0, 1, 0] { return 113089544 } if v == [1, 1, 1, 0, 0, 0, 1, 0, 1, 1] { return 540197620 } if v == [1, 1, 1, 0, 0, 0, 1, 1, 1, 0] { return 264519199 } if v == [1, 1, 1, 0, 0, 0, 1, 1, 1, 1] { return 147594738 } if v == [1, 1, 1, 0, 1, 0, 0, 0, 0, 0] { return 399695486 } if v == [1, 1, 1, 0, 1, 0, 0, 0, 1, 0] { return 113089544 } if v == [1, 1, 1, 0, 1, 0, 0, 0, 1, 1] { return 540197620 } if v == [1, 1, 1, 0, 1, 0, 1, 0, 0, 0] { return 113089544 } if v == [1, 1, 1, 0, 1, 0, 1, 0, 1, 0] { return 248572800 } if v == [1, 1, 1, 0, 1, 0, 1, 0, 1, 1] { return 831591944 } if v == [1, 1, 1, 0, 1, 0, 1, 1, 1, 0] { return 891467144 } if v == [1, 1, 1, 0, 1, 0, 1, 1, 1, 1] { return 956378175 } if v == [1, 1, 1, 0, 1, 1, 1, 0, 0, 0] { return 264519199 } if v == [1, 1, 1, 0, 1, 1, 1, 0, 1, 0] { return 891467144 } if v == [1, 1, 1, 0, 1, 1, 1, 0, 1, 1] { return 405021333 } if v == [1, 1, 1, 0, 1, 1, 1, 1, 1, 0] { return 405021333 } if v == [1, 1, 1, 0, 1, 1, 1, 1, 1, 1] { return 577722722 } if v == [1, 1, 1, 1, 1, 0, 0, 0, 0, 0] { return 258171902 } if v == [1, 1, 1, 1, 1, 0, 0, 0, 1, 0] { return 540197620 } if v == [1, 1, 1, 1, 1, 0, 0, 0, 1, 1] { return 147594738 } if v == [1, 1, 1, 1, 1, 0, 1, 0, 0, 0] { return 540197620 } if v == [1, 1, 1, 1, 1, 0, 1, 0, 1, 0] { return 831591944 } if v == [1, 1, 1, 1, 1, 0, 1, 0, 1, 1] { return 956378175 } if v == [1, 1, 1, 1, 1, 0, 1, 1, 1, 0] { return 405021333 } if v == [1, 1, 1, 1, 1, 0, 1, 1, 1, 1] { return 577722722 } if v == [1, 1, 1, 1, 1, 1, 1, 0, 0, 0] { return 147594738 } if v == [1, 1, 1, 1, 1, 1, 1, 0, 1, 0] { return 956378175 } if v == [1, 1, 1, 1, 1, 1, 1, 0, 1, 1] { return 577722722 } if v == [1, 1, 1, 1, 1, 1, 1, 1, 1, 0] { return 577722722 } if v == [1, 1, 1, 1, 1, 1, 1, 1, 1, 1] { return 802823383 } if v == [1, 1, 1, 1, 1, 1, 1, 1, 2, 1] { return 577722722 } if v == [1, 1, 1, 1, 1, 1, 2, 1, 1, 1] { return 577722722 } if v == [1, 1, 1, 1, 1, 1, 2, 1, 2, 1] { return 956378175 } if v == [1, 1, 1, 1, 1, 1, 2, 2, 2, 1] { return 147594738 } if v == [1, 1, 1, 1, 2, 1, 1, 1, 1, 1] { return 577722722 } if v == [1, 1, 1, 1, 2, 1, 1, 1, 2, 1] { return 405021333 } if v == [1, 1, 1, 1, 2, 1, 2, 1, 1, 1] { return 956378175 } if v == [1, 1, 1, 1, 2, 1, 2, 1, 2, 1] { return 831591944 } if v == [1, 1, 1, 1, 2, 1, 2, 2, 2, 1] { return 540197620 } if v == [1, 1, 1, 1, 2, 2, 2, 1, 1, 1] { return 147594738 } if v == [1, 1, 1, 1, 2, 2, 2, 1, 2, 1] { return 540197620 } if v == [1, 1, 1, 1, 2, 2, 2, 2, 2, 1] { return 258171902 } if v == [1, 1, 2, 1, 1, 1, 1, 1, 1, 1] { return 577722722 } if v == [1, 1, 2, 1, 1, 1, 1, 1, 2, 1] { return 405021333 } if v == [1, 1, 2, 1, 1, 1, 2, 1, 1, 1] { return 405021333 } if v == [1, 1, 2, 1, 1, 1, 2, 1, 2, 1] { return 891467144 } if v == [1, 1, 2, 1, 1, 1, 2, 2, 2, 1] { return 264519199 } if v == [1, 1, 2, 1, 2, 1, 1, 1, 1, 1] { return 956378175 } if v == [1, 1, 2, 1, 2, 1, 1, 1, 2, 1] { return 891467144 } if v == [1, 1, 2, 1, 2, 1, 2, 1, 1, 1] { return 831591944 } if v == [1, 1, 2, 1, 2, 1, 2, 1, 2, 1] { return 248572800 } if v == [1, 1, 2, 1, 2, 1, 2, 2, 2, 1] { return 113089544 } if v == [1, 1, 2, 1, 2, 2, 2, 1, 1, 1] { return 540197620 } if v == [1, 1, 2, 1, 2, 2, 2, 1, 2, 1] { return 113089544 } if v == [1, 1, 2, 1, 2, 2, 2, 2, 2, 1] { return 399695486 } if v == [1, 1, 2, 2, 2, 1, 1, 1, 1, 1] { return 147594738 } if v == [1, 1, 2, 2, 2, 1, 1, 1, 2, 1] { return 264519199 } if v == [1, 1, 2, 2, 2, 1, 2, 1, 1, 1] { return 540197620 } if v == [1, 1, 2, 2, 2, 1, 2, 1, 2, 1] { return 113089544 } if v == [1, 1, 2, 2, 2, 1, 2, 2, 2, 1] { return 399695486 } if v == [1, 1, 2, 2, 2, 2, 2, 1, 1, 1] { return 258171902 } if v == [1, 1, 2, 2, 2, 2, 2, 1, 2, 1] { return 399695486 } if v == [1, 1, 2, 2, 2, 2, 2, 2, 2, 1] { return 909454214 } if v == [2, 1, 1, 1, 1, 1, 1, 1, 1, 1] { return 577722722 } if v == [2, 1, 1, 1, 1, 1, 1, 1, 2, 1] { return 956378175 } if v == [2, 1, 1, 1, 1, 1, 1, 1, 2, 2] { return 147594738 } if v == [2, 1, 1, 1, 1, 1, 2, 1, 1, 1] { return 405021333 } if v == [2, 1, 1, 1, 1, 1, 2, 1, 2, 1] { return 831591944 } if v == [2, 1, 1, 1, 1, 1, 2, 1, 2, 2] { return 540197620 } if v == [2, 1, 1, 1, 1, 1, 2, 2, 2, 1] { return 540197620 } if v == [2, 1, 1, 1, 1, 1, 2, 2, 2, 2] { return 258171902 } if v == [2, 1, 1, 1, 2, 1, 1, 1, 1, 1] { return 405021333 } if v == [2, 1, 1, 1, 2, 1, 1, 1, 2, 1] { return 891467144 } if v == [2, 1, 1, 1, 2, 1, 1, 1, 2, 2] { return 264519199 } if v == [2, 1, 1, 1, 2, 1, 2, 1, 1, 1] { return 891467144 } if v == [2, 1, 1, 1, 2, 1, 2, 1, 2, 1] { return 248572800 } if v == [2, 1, 1, 1, 2, 1, 2, 1, 2, 2] { return 113089544 } if v == [2, 1, 1, 1, 2, 1, 2, 2, 2, 1] { return 113089544 } if v == [2, 1, 1, 1, 2, 1, 2, 2, 2, 2] { return 399695486 } if v == [2, 1, 1, 1, 2, 2, 2, 1, 1, 1] { return 264519199 } if v == [2, 1, 1, 1, 2, 2, 2, 1, 2, 1] { return 113089544 } if v == [2, 1, 1, 1, 2, 2, 2, 1, 2, 2] { return 399695486 } if v == [2, 1, 1, 1, 2, 2, 2, 2, 2, 1] { return 399695486 } if v == [2, 1, 1, 1, 2, 2, 2, 2, 2, 2] { return 909454214 } if v == [2, 1, 2, 1, 1, 1, 1, 1, 1, 1] { return 956378175 } if v == [2, 1, 2, 1, 1, 1, 1, 1, 2, 1] { return 831591944 } if v == [2, 1, 2, 1, 1, 1, 1, 1, 2, 2] { return 540197620 } if v == [2, 1, 2, 1, 1, 1, 2, 1, 1, 1] { return 891467144 } if v == [2, 1, 2, 1, 1, 1, 2, 1, 2, 1] { return 248572800 } if v == [2, 1, 2, 1, 1, 1, 2, 1, 2, 2] { return 113089544 } if v == [2, 1, 2, 1, 1, 1, 2, 2, 2, 1] { return 113089544 } if v == [2, 1, 2, 1, 1, 1, 2, 2, 2, 2] { return 399695486 } if v == [2, 1, 2, 1, 2, 1, 1, 1, 1, 1] { return 831591944 } if v == [2, 1, 2, 1, 2, 1, 1, 1, 2, 1] { return 248572800 } if v == [2, 1, 2, 1, 2, 1, 1, 1, 2, 2] { return 113089544 } if v == [2, 1, 2, 1, 2, 1, 2, 1, 1, 1] { return 248572800 } if v == [2, 1, 2, 1, 2, 1, 2, 1, 2, 1] { return 9072000 } if v == [2, 1, 2, 1, 2, 1, 2, 1, 2, 2] { return 228614400 } if v == [2, 1, 2, 1, 2, 1, 2, 2, 2, 1] { return 228614400 } if v == [2, 1, 2, 1, 2, 1, 2, 2, 2, 2] { return 334711951 } if v == [2, 1, 2, 1, 2, 2, 2, 1, 1, 1] { return 113089544 } if v == [2, 1, 2, 1, 2, 2, 2, 1, 2, 1] { return 228614400 } if v == [2, 1, 2, 1, 2, 2, 2, 1, 2, 2] { return 334711951 } if v == [2, 1, 2, 1, 2, 2, 2, 2, 2, 1] { return 334711951 } if v == [2, 1, 2, 1, 2, 2, 2, 2, 2, 2] { return 534871773 } if v == [2, 1, 2, 2, 2, 1, 1, 1, 1, 1] { return 540197620 } if v == [2, 1, 2, 2, 2, 1, 1, 1, 2, 1] { return 113089544 } if v == [2, 1, 2, 2, 2, 1, 1, 1, 2, 2] { return 399695486 } if v == [2, 1, 2, 2, 2, 1, 2, 1, 1, 1] { return 113089544 } if v == [2, 1, 2, 2, 2, 1, 2, 1, 2, 1] { return 228614400 } if v == [2, 1, 2, 2, 2, 1, 2, 1, 2, 2] { return 334711951 } if v == [2, 1, 2, 2, 2, 1, 2, 2, 2, 1] { return 334711951 } if v == [2, 1, 2, 2, 2, 1, 2, 2, 2, 2] { return 534871773 } if v == [2, 1, 2, 2, 2, 2, 2, 1, 1, 1] { return 399695486 } if v == [2, 1, 2, 2, 2, 2, 2, 1, 2, 1] { return 334711951 } if v == [2, 1, 2, 2, 2, 2, 2, 1, 2, 2] { return 534871773 } if v == [2, 1, 2, 2, 2, 2, 2, 2, 2, 1] { return 534871773 } if v == [2, 1, 2, 2, 2, 2, 2, 2, 2, 2] { return 101441660 } if v == [2, 2, 2, 1, 1, 1, 1, 1, 1, 1] { return 147594738 } if v == [2, 2, 2, 1, 1, 1, 1, 1, 2, 1] { return 540197620 } if v == [2, 2, 2, 1, 1, 1, 1, 1, 2, 2] { return 258171902 } if v == [2, 2, 2, 1, 1, 1, 2, 1, 1, 1] { return 264519199 } if v == [2, 2, 2, 1, 1, 1, 2, 1, 2, 1] { return 113089544 } if v == [2, 2, 2, 1, 1, 1, 2, 1, 2, 2] { return 399695486 } if v == [2, 2, 2, 1, 1, 1, 2, 2, 2, 1] { return 399695486 } if v == [2, 2, 2, 1, 1, 1, 2, 2, 2, 2] { return 909454214 } if v == [2, 2, 2, 1, 2, 1, 1, 1, 1, 1] { return 540197620 } if v == [2, 2, 2, 1, 2, 1, 1, 1, 2, 1] { return 113089544 } if v == [2, 2, 2, 1, 2, 1, 1, 1, 2, 2] { return 399695486 } if v == [2, 2, 2, 1, 2, 1, 2, 1, 1, 1] { return 113089544 } if v == [2, 2, 2, 1, 2, 1, 2, 1, 2, 1] { return 228614400 } if v == [2, 2, 2, 1, 2, 1, 2, 1, 2, 2] { return 334711951 } if v == [2, 2, 2, 1, 2, 1, 2, 2, 2, 1] { return 334711951 } if v == [2, 2, 2, 1, 2, 1, 2, 2, 2, 2] { return 534871773 } if v == [2, 2, 2, 1, 2, 2, 2, 1, 1, 1] { return 399695486 } if v == [2, 2, 2, 1, 2, 2, 2, 1, 2, 1] { return 334711951 } if v == [2, 2, 2, 1, 2, 2, 2, 1, 2, 2] { return 534871773 } if v == [2, 2, 2, 1, 2, 2, 2, 2, 2, 1] { return 534871773 } if v == [2, 2, 2, 1, 2, 2, 2, 2, 2, 2] { return 101441660 } if v == [2, 2, 2, 2, 2, 1, 1, 1, 1, 1] { return 258171902 } if v == [2, 2, 2, 2, 2, 1, 1, 1, 2, 1] { return 399695486 } if v == [2, 2, 2, 2, 2, 1, 1, 1, 2, 2] { return 909454214 } if v == [2, 2, 2, 2, 2, 1, 2, 1, 1, 1] { return 399695486 } if v == [2, 2, 2, 2, 2, 1, 2, 1, 2, 1] { return 334711951 } if v == [2, 2, 2, 2, 2, 1, 2, 1, 2, 2] { return 534871773 } if v == [2, 2, 2, 2, 2, 1, 2, 2, 2, 1] { return 534871773 } if v == [2, 2, 2, 2, 2, 1, 2, 2, 2, 2] { return 101441660 } if v == [2, 2, 2, 2, 2, 2, 2, 1, 1, 1] { return 909454214 } if v == [2, 2, 2, 2, 2, 2, 2, 1, 2, 1] { return 534871773 } if v == [2, 2, 2, 2, 2, 2, 2, 1, 2, 2] { return 101441660 } if v == [2, 2, 2, 2, 2, 2, 2, 2, 2, 1] { return 101441660 } if v == [2, 2, 2, 2, 2, 2, 2, 2, 2, 2] { return 622541044 } if v == [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] { return 211803850 } if v == [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0] { return 938188926 } if v == [0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0] { return 938188926 } if v == [0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0] { return 633880533 } if v == [0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0] { return 668799954 } if v == [0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0] { return 938188926 } if v == [0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0] { return 633880533 } if v == [0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0] { return 633880533 } if v == [0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0] { return 28833186 } if v == [0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0] { return 974172069 } if v == [0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0] { return 668799954 } if v == [0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0] { return 974172069 } if v == [0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0] { return 697953316 } if v == [0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0] { return 938188926 } if v == [0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0] { return 633880533 } if v == [0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0] { return 633880533 } if v == [0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0] { return 28833186 } if v == [0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0] { return 974172069 } if v == [0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0] { return 633880533 } if v == [0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0] { return 28833186 } if v == [0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0] { return 28833186 } if v == [0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0] { return 992136520 } if v == [0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0] { return 260883381 } if v == [0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0] { return 974172069 } if v == [0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0] { return 260883381 } if v == [0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0] { return 770237731 } if v == [0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0] { return 668799954 } if v == [0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0] { return 974172069 } if v == [0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0] { return 974172069 } if v == [0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0] { return 260883381 } if v == [0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0] { return 314463598 } if v == [0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0] { return 697953316 } if v == [0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0] { return 770237731 } if v == [0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0] { return 25649005 } if v == [0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0] { return 938188926 } if v == [0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0] { return 633880533 } if v == [0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0] { return 633880533 } if v == [0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0] { return 28833186 } if v == [0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0] { return 974172069 } if v == [0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0] { return 633880533 } if v == [0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0] { return 28833186 } if v == [0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0] { return 28833186 } if v == [0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0] { return 992136520 } if v == [0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0] { return 260883381 } if v == [0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0] { return 974172069 } if v == [0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0] { return 260883381 } if v == [0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0] { return 770237731 } if v == [0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0] { return 633880533 } if v == [0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0] { return 28833186 } if v == [0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0] { return 28833186 } if v == [0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0] { return 992136520 } if v == [0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0] { return 260883381 } if v == [0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0] { return 28833186 } if v == [0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0] { return 992136520 } if v == [0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0] { return 992136520 } if v == [0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0] { return 809926036 } if v == [0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0] { return 451431372 } if v == [0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0] { return 260883381 } if v == [0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0] { return 451431372 } if v == [0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0] { return 655754154 } if v == [0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0] { return 974172069 } if v == [0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0] { return 260883381 } if v == [0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0] { return 260883381 } if v == [0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0] { return 451431372 } if v == [0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0] { return 492933576 } if v == [0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0] { return 770237731 } if v == [0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0] { return 655754154 } if v == [0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0] { return 22077519 } if v == [0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0] { return 668799954 } if v == [0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0] { return 974172069 } if v == [0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0] { return 974172069 } if v == [0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0] { return 260883381 } if v == [0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0] { return 314463598 } if v == [0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0] { return 974172069 } if v == [0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0] { return 260883381 } if v == [0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0] { return 260883381 } if v == [0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0] { return 451431372 } if v == [0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0] { return 492933576 } if v == [0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0] { return 314463598 } if v == [0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0] { return 492933576 } if v == [0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0] { return 110529260 } if v == [0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0] { return 697953316 } if v == [0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0] { return 770237731 } if v == [0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0] { return 770237731 } if v == [0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0] { return 655754154 } if v == [0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0] { return 110529260 } if v == [0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0] { return 25649005 } if v == [0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0] { return 22077519 } if v == [0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0] { return 651887035 } if v == [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] { return 938188926 } if v == [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0] { return 633880533 } if v == [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1] { return 668799954 } if v == [1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0] { return 633880533 } if v == [1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0] { return 28833186 } if v == [1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1] { return 974172069 } if v == [1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0] { return 974172069 } if v == [1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1] { return 697953316 } if v == [1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0] { return 633880533 } if v == [1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0] { return 28833186 } if v == [1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1] { return 974172069 } if v == [1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0] { return 28833186 } if v == [1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0] { return 992136520 } if v == [1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1] { return 260883381 } if v == [1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0] { return 260883381 } if v == [1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1] { return 770237731 } if v == [1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0] { return 974172069 } if v == [1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0] { return 260883381 } if v == [1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1] { return 314463598 } if v == [1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0] { return 770237731 } if v == [1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1] { return 25649005 } if v == [1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0] { return 633880533 } if v == [1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0] { return 28833186 } if v == [1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1] { return 974172069 } if v == [1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0] { return 28833186 } if v == [1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0] { return 992136520 } if v == [1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1] { return 260883381 } if v == [1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0] { return 260883381 } if v == [1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1] { return 770237731 } if v == [1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0] { return 28833186 } if v == [1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0] { return 992136520 } if v == [1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1] { return 260883381 } if v == [1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0] { return 992136520 } if v == [1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0] { return 809926036 } if v == [1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1] { return 451431372 } if v == [1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0] { return 451431372 } if v == [1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1] { return 655754154 } if v == [1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0] { return 260883381 } if v == [1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0] { return 451431372 } if v == [1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1] { return 492933576 } if v == [1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0] { return 655754154 } if v == [1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1] { return 22077519 } if v == [1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0] { return 974172069 } if v == [1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0] { return 260883381 } if v == [1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1] { return 314463598 } if v == [1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0] { return 260883381 } if v == [1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0] { return 451431372 } if v == [1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1] { return 492933576 } if v == [1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0] { return 492933576 } if v == [1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1] { return 110529260 } if v == [1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0] { return 770237731 } if v == [1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0] { return 655754154 } if v == [1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1] { return 110529260 } if v == [1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0] { return 22077519 } if v == [1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1] { return 651887035 } if v == [1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0] { return 633880533 } if v == [1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0] { return 28833186 } if v == [1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1] { return 974172069 } if v == [1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0] { return 28833186 } if v == [1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0] { return 992136520 } if v == [1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1] { return 260883381 } if v == [1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0] { return 260883381 } if v == [1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1] { return 770237731 } if v == [1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0] { return 28833186 } if v == [1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0] { return 992136520 } if v == [1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1] { return 260883381 } if v == [1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0] { return 992136520 } if v == [1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0] { return 809926036 } if v == [1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1] { return 451431372 } if v == [1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0] { return 451431372 } if v == [1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1] { return 655754154 } if v == [1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0] { return 260883381 } if v == [1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0] { return 451431372 } if v == [1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1] { return 492933576 } if v == [1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0] { return 655754154 } if v == [1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1] { return 22077519 } if v == [1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0] { return 28833186 } if v == [1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0] { return 992136520 } if v == [1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1] { return 260883381 } if v == [1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0] { return 992136520 } if v == [1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0] { return 809926036 } if v == [1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1] { return 451431372 } if v == [1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0] { return 451431372 } if v == [1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1] { return 655754154 } if v == [1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0] { return 992136520 } if v == [1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0] { return 809926036 } if v == [1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1] { return 451431372 } if v == [1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0] { return 809926036 } if v == [1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0] { return 437004793 } if v == [1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1] { return 923436415 } if v == [1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0] { return 923436415 } if v == [1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1] { return 13439901 } if v == [1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0] { return 451431372 } if v == [1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0] { return 923436415 } if v == [1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1] { return 910726231 } if v == [1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0] { return 13439901 } if v == [1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1] { return 213445498 } if v == [1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0] { return 260883381 } if v == [1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0] { return 451431372 } if v == [1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1] { return 492933576 } if v == [1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0] { return 451431372 } if v == [1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0] { return 923436415 } if v == [1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1] { return 910726231 } if v == [1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0] { return 910726231 } if v == [1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1] { return 887804349 } if v == [1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0] { return 655754154 } if v == [1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0] { return 13439901 } if v == [1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1] { return 887804349 } if v == [1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0] { return 213445498 } if v == [1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1] { return 729691447 } if v == [1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0] { return 974172069 } if v == [1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0] { return 260883381 } if v == [1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1] { return 314463598 } if v == [1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0] { return 260883381 } if v == [1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0] { return 451431372 } if v == [1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1] { return 492933576 } if v == [1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0] { return 492933576 } if v == [1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1] { return 110529260 } if v == [1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0] { return 260883381 } if v == [1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0] { return 451431372 } if v == [1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1] { return 492933576 } if v == [1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0] { return 451431372 } if v == [1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0] { return 923436415 } if v == [1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1] { return 910726231 } if v == [1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0] { return 910726231 } if v == [1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1] { return 887804349 } if v == [1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0] { return 492933576 } if v == [1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0] { return 910726231 } if v == [1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1] { return 724983771 } if v == [1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0] { return 887804349 } if v == [1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1] { return 362369055 } if v == [1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0] { return 770237731 } if v == [1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0] { return 655754154 } if v == [1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1] { return 110529260 } if v == [1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0] { return 655754154 } if v == [1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0] { return 13439901 } if v == [1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1] { return 887804349 } if v == [1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0] { return 887804349 } if v == [1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1] { return 906594929 } if v == [1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0] { return 22077519 } if v == [1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0] { return 213445498 } if v == [1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1] { return 362369055 } if v == [1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0] { return 729691447 } if v == [1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1] { return 576667392 } if v == [1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0] { return 668799954 } if v == [1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0] { return 974172069 } if v == [1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1] { return 697953316 } if v == [1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0] { return 974172069 } if v == [1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0] { return 260883381 } if v == [1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1] { return 770237731 } if v == [1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0] { return 314463598 } if v == [1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1] { return 25649005 } if v == [1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0] { return 974172069 } if v == [1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0] { return 260883381 } if v == [1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1] { return 770237731 } if v == [1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0] { return 260883381 } if v == [1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0] { return 451431372 } if v == [1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1] { return 655754154 } if v == [1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0] { return 492933576 } if v == [1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1] { return 22077519 } if v == [1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0] { return 314463598 } if v == [1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0] { return 492933576 } if v == [1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1] { return 110529260 } if v == [1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0] { return 110529260 } if v == [1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1] { return 651887035 } if v == [1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0] { return 974172069 } if v == [1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0] { return 260883381 } if v == [1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1] { return 770237731 } if v == [1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0] { return 260883381 } if v == [1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0] { return 451431372 } if v == [1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1] { return 655754154 } if v == [1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0] { return 492933576 } if v == [1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1] { return 22077519 } if v == [1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0] { return 260883381 } if v == [1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0] { return 451431372 } if v == [1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1] { return 655754154 } if v == [1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0] { return 451431372 } if v == [1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0] { return 923436415 } if v == [1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1] { return 13439901 } if v == [1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0] { return 910726231 } if v == [1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1] { return 213445498 } if v == [1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0] { return 492933576 } if v == [1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0] { return 910726231 } if v == [1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1] { return 887804349 } if v == [1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0] { return 887804349 } if v == [1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1] { return 729691447 } if v == [1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0] { return 314463598 } if v == [1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0] { return 492933576 } if v == [1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1] { return 110529260 } if v == [1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0] { return 492933576 } if v == [1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0] { return 910726231 } if v == [1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1] { return 887804349 } if v == [1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0] { return 724983771 } if v == [1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1] { return 362369055 } if v == [1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0] { return 110529260 } if v == [1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0] { return 887804349 } if v == [1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1] { return 906594929 } if v == [1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0] { return 362369055 } if v == [1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1] { return 576667392 } if v == [1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0] { return 697953316 } if v == [1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0] { return 770237731 } if v == [1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1] { return 25649005 } if v == [1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0] { return 770237731 } if v == [1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0] { return 655754154 } if v == [1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1] { return 22077519 } if v == [1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0] { return 110529260 } if v == [1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1] { return 651887035 } if v == [1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0] { return 770237731 } if v == [1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0] { return 655754154 } if v == [1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1] { return 22077519 } if v == [1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0] { return 655754154 } if v == [1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0] { return 13439901 } if v == [1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1] { return 213445498 } if v == [1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0] { return 887804349 } if v == [1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1] { return 729691447 } if v == [1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0] { return 110529260 } if v == [1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0] { return 887804349 } if v == [1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1] { return 362369055 } if v == [1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0] { return 906594929 } if v == [1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1] { return 576667392 } if v == [1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0] { return 25649005 } if v == [1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0] { return 22077519 } if v == [1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1] { return 651887035 } if v == [1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0] { return 22077519 } if v == [1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0] { return 213445498 } if v == [1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1] { return 729691447 } if v == [1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0] { return 362369055 } if v == [1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1] { return 576667392 } if v == [1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0] { return 651887035 } if v == [1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0] { return 729691447 } if v == [1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1] { return 576667392 } if v == [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0] { return 576667392 } if v == [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1] { return 321967837 } if v == [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1] { return 576667392 } if v == [1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1] { return 576667392 } if v == [1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1] { return 729691447 } if v == [1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1] { return 651887035 } if v == [1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1] { return 576667392 } if v == [1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1] { return 362369055 } if v == [1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1] { return 729691447 } if v == [1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1] { return 213445498 } if v == [1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1] { return 22077519 } if v == [1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1] { return 651887035 } if v == [1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1] { return 22077519 } if v == [1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1] { return 25649005 } if v == [1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1] { return 576667392 } if v == [1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1] { return 906594929 } if v == [1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1] { return 362369055 } if v == [1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1] { return 887804349 } if v == [1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1] { return 110529260 } if v == [1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1] { return 729691447 } if v == [1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1] { return 887804349 } if v == [1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1] { return 213445498 } if v == [1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1] { return 13439901 } if v == [1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1] { return 655754154 } if v == [1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1] { return 22077519 } if v == [1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1] { return 655754154 } if v == [1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1] { return 770237731 } if v == [1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1] { return 651887035 } if v == [1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1] { return 110529260 } if v == [1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1] { return 22077519 } if v == [1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1] { return 655754154 } if v == [1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1] { return 770237731 } if v == [1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1] { return 25649005 } if v == [1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1] { return 770237731 } if v == [1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1] { return 697953316 } if v == [1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1] { return 576667392 } if v == [1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1] { return 362369055 } if v == [1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1] { return 906594929 } if v == [1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1] { return 887804349 } if v == [1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1] { return 110529260 } if v == [1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1] { return 362369055 } if v == [1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1] { return 724983771 } if v == [1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1] { return 887804349 } if v == [1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1] { return 910726231 } if v == [1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1] { return 492933576 } if v == [1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1] { return 110529260 } if v == [1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1] { return 492933576 } if v == [1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1] { return 314463598 } if v == [1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1] { return 729691447 } if v == [1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1] { return 887804349 } if v == [1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1] { return 887804349 } if v == [1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1] { return 910726231 } if v == [1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1] { return 492933576 } if v == [1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1] { return 213445498 } if v == [1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1] { return 910726231 } if v == [1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1] { return 13439901 } if v == [1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1] { return 923436415 } if v == [1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1] { return 451431372 } if v == [1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1] { return 655754154 } if v == [1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1] { return 451431372 } if v == [1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1] { return 260883381 } if v == [1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1] { return 22077519 } if v == [1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1] { return 492933576 } if v == [1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1] { return 655754154 } if v == [1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1] { return 451431372 } if v == [1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1] { return 260883381 } if v == [1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1] { return 770237731 } if v == [1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1] { return 260883381 } if v == [1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1] { return 974172069 } if v == [1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1] { return 651887035 } if v == [1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1] { return 110529260 } if v == [1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1] { return 110529260 } if v == [1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1] { return 492933576 } if v == [1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1] { return 314463598 } if v == [1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1] { return 22077519 } if v == [1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1] { return 492933576 } if v == [1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1] { return 655754154 } if v == [1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1] { return 451431372 } if v == [1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1] { return 260883381 } if v == [1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1] { return 770237731 } if v == [1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1] { return 260883381 } if v == [1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1] { return 974172069 } if v == [1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1] { return 25649005 } if v == [1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1] { return 314463598 } if v == [1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1] { return 770237731 } if v == [1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1] { return 260883381 } if v == [1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1] { return 974172069 } if v == [1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1] { return 697953316 } if v == [1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1] { return 974172069 } if v == [1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1] { return 668799954 } if v == [2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1] { return 576667392 } if v == [2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1] { return 729691447 } if v == [2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2] { return 651887035 } if v == [2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1] { return 362369055 } if v == [2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1] { return 213445498 } if v == [2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2] { return 22077519 } if v == [2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1] { return 22077519 } if v == [2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2] { return 25649005 } if v == [2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1] { return 906594929 } if v == [2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1] { return 887804349 } if v == [2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2] { return 110529260 } if v == [2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1] { return 887804349 } if v == [2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1] { return 13439901 } if v == [2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2] { return 655754154 } if v == [2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1] { return 655754154 } if v == [2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2] { return 770237731 } if v == [2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1] { return 110529260 } if v == [2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1] { return 655754154 } if v == [2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2] { return 770237731 } if v == [2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1] { return 770237731 } if v == [2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2] { return 697953316 } if v == [2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1] { return 362369055 } if v == [2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1] { return 887804349 } if v == [2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2] { return 110529260 } if v == [2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1] { return 724983771 } if v == [2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1] { return 910726231 } if v == [2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2] { return 492933576 } if v == [2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1] { return 492933576 } if v == [2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2] { return 314463598 } if v == [2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1] { return 887804349 } if v == [2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1] { return 910726231 } if v == [2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2] { return 492933576 } if v == [2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1] { return 910726231 } if v == [2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1] { return 923436415 } if v == [2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2] { return 451431372 } if v == [2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1] { return 451431372 } if v == [2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2] { return 260883381 } if v == [2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1] { return 492933576 } if v == [2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1] { return 451431372 } if v == [2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2] { return 260883381 } if v == [2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1] { return 260883381 } if v == [2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2] { return 974172069 } if v == [2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1] { return 110529260 } if v == [2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1] { return 492933576 } if v == [2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2] { return 314463598 } if v == [2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1] { return 492933576 } if v == [2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1] { return 451431372 } if v == [2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2] { return 260883381 } if v == [2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1] { return 260883381 } if v == [2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2] { return 974172069 } if v == [2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1] { return 314463598 } if v == [2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1] { return 260883381 } if v == [2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2] { return 974172069 } if v == [2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1] { return 974172069 } if v == [2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2] { return 668799954 } if v == [2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1] { return 729691447 } if v == [2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1] { return 213445498 } if v == [2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2] { return 22077519 } if v == [2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1] { return 887804349 } if v == [2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1] { return 13439901 } if v == [2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2] { return 655754154 } if v == [2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1] { return 655754154 } if v == [2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2] { return 770237731 } if v == [2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1] { return 887804349 } if v == [2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1] { return 910726231 } if v == [2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2] { return 492933576 } if v == [2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1] { return 910726231 } if v == [2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1] { return 923436415 } if v == [2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2] { return 451431372 } if v == [2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1] { return 451431372 } if v == [2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2] { return 260883381 } if v == [2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1] { return 492933576 } if v == [2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1] { return 451431372 } if v == [2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2] { return 260883381 } if v == [2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1] { return 260883381 } if v == [2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2] { return 974172069 } if v == [2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1] { return 213445498 } if v == [2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1] { return 13439901 } if v == [2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2] { return 655754154 } if v == [2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1] { return 910726231 } if v == [2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1] { return 923436415 } if v == [2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2] { return 451431372 } if v == [2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1] { return 451431372 } if v == [2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2] { return 260883381 } if v == [2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1] { return 13439901 } if v == [2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1] { return 923436415 } if v == [2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2] { return 451431372 } if v == [2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1] { return 923436415 } if v == [2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1] { return 437004793 } if v == [2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2] { return 809926036 } if v == [2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1] { return 809926036 } if v == [2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2] { return 992136520 } if v == [2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1] { return 451431372 } if v == [2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1] { return 809926036 } if v == [2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2] { return 992136520 } if v == [2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1] { return 992136520 } if v == [2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2] { return 28833186 } if v == [2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1] { return 655754154 } if v == [2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1] { return 451431372 } if v == [2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2] { return 260883381 } if v == [2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1] { return 451431372 } if v == [2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1] { return 809926036 } if v == [2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2] { return 992136520 } if v == [2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1] { return 992136520 } if v == [2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2] { return 28833186 } if v == [2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1] { return 260883381 } if v == [2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1] { return 992136520 } if v == [2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2] { return 28833186 } if v == [2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1] { return 28833186 } if v == [2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2] { return 633880533 } if v == [2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1] { return 22077519 } if v == [2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1] { return 655754154 } if v == [2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2] { return 770237731 } if v == [2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1] { return 492933576 } if v == [2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1] { return 451431372 } if v == [2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2] { return 260883381 } if v == [2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1] { return 260883381 } if v == [2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2] { return 974172069 } if v == [2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1] { return 655754154 } if v == [2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1] { return 451431372 } if v == [2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2] { return 260883381 } if v == [2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1] { return 451431372 } if v == [2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1] { return 809926036 } if v == [2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2] { return 992136520 } if v == [2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1] { return 992136520 } if v == [2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2] { return 28833186 } if v == [2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1] { return 260883381 } if v == [2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1] { return 992136520 } if v == [2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2] { return 28833186 } if v == [2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1] { return 28833186 } if v == [2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2] { return 633880533 } if v == [2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1] { return 770237731 } if v == [2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1] { return 260883381 } if v == [2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2] { return 974172069 } if v == [2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1] { return 260883381 } if v == [2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1] { return 992136520 } if v == [2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2] { return 28833186 } if v == [2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1] { return 28833186 } if v == [2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2] { return 633880533 } if v == [2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1] { return 974172069 } if v == [2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1] { return 28833186 } if v == [2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2] { return 633880533 } if v == [2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1] { return 633880533 } if v == [2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] { return 938188926 } if v == [2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1] { return 651887035 } if v == [2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1] { return 22077519 } if v == [2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2] { return 25649005 } if v == [2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1] { return 110529260 } if v == [2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1] { return 655754154 } if v == [2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2] { return 770237731 } if v == [2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1] { return 770237731 } if v == [2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2] { return 697953316 } if v == [2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1] { return 110529260 } if v == [2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1] { return 492933576 } if v == [2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2] { return 314463598 } if v == [2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1] { return 492933576 } if v == [2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1] { return 451431372 } if v == [2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2] { return 260883381 } if v == [2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1] { return 260883381 } if v == [2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2] { return 974172069 } if v == [2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1] { return 314463598 } if v == [2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1] { return 260883381 } if v == [2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2] { return 974172069 } if v == [2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1] { return 974172069 } if v == [2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2] { return 668799954 } if v == [2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1] { return 22077519 } if v == [2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1] { return 655754154 } if v == [2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2] { return 770237731 } if v == [2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1] { return 492933576 } if v == [2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1] { return 451431372 } if v == [2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2] { return 260883381 } if v == [2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1] { return 260883381 } if v == [2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2] { return 974172069 } if v == [2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1] { return 655754154 } if v == [2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1] { return 451431372 } if v == [2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2] { return 260883381 } if v == [2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1] { return 451431372 } if v == [2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1] { return 809926036 } if v == [2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2] { return 992136520 } if v == [2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1] { return 992136520 } if v == [2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2] { return 28833186 } if v == [2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1] { return 260883381 } if v == [2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1] { return 992136520 } if v == [2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2] { return 28833186 } if v == [2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1] { return 28833186 } if v == [2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2] { return 633880533 } if v == [2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1] { return 770237731 } if v == [2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1] { return 260883381 } if v == [2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2] { return 974172069 } if v == [2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1] { return 260883381 } if v == [2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1] { return 992136520 } if v == [2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2] { return 28833186 } if v == [2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1] { return 28833186 } if v == [2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2] { return 633880533 } if v == [2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1] { return 974172069 } if v == [2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1] { return 28833186 } if v == [2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2] { return 633880533 } if v == [2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1] { return 633880533 } if v == [2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2] { return 938188926 } if v == [2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1] { return 25649005 } if v == [2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1] { return 770237731 } if v == [2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2] { return 697953316 } if v == [2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1] { return 314463598 } if v == [2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1] { return 260883381 } if v == [2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2] { return 974172069 } if v == [2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1] { return 974172069 } if v == [2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2] { return 668799954 } if v == [2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1] { return 770237731 } if v == [2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1] { return 260883381 } if v == [2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2] { return 974172069 } if v == [2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1] { return 260883381 } if v == [2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1] { return 992136520 } if v == [2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2] { return 28833186 } if v == [2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1] { return 28833186 } if v == [2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2] { return 633880533 } if v == [2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1] { return 974172069 } if v == [2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1] { return 28833186 } if v == [2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2] { return 633880533 } if v == [2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1] { return 633880533 } if v == [2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2] { return 938188926 } if v == [2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1] { return 697953316 } if v == [2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1] { return 974172069 } if v == [2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2] { return 668799954 } if v == [2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1] { return 974172069 } if v == [2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1] { return 28833186 } if v == [2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2] { return 633880533 } if v == [2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1] { return 633880533 } if v == [2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2] { return 938188926 } if v == [2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1] { return 668799954 } if v == [2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1] { return 633880533 } if v == [2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2] { return 938188926 } if v == [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1] { return 938188926 } if v == [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] { return 211803850 } 7 } fn main() { 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! { from iter, t: usize, }; for _ in 0..t { input! { from iter, n: usize, a: [i32; 2 * n], }; let a = if a.contains(&2) { a.iter().rev().map(|x| 2 - x).collect::<Vec<_>>() } else { a }; // eprintln!("{:?}", a); println!("{}", solve(a)); } } |
English