// https://qiita.com/tanakh/items/0ba42c7ca36cd29d0ac8 macro_rules! input { ($($r:tt)*) => { let stdin = std::io::stdin(); let mut bytes = std::io::Read::bytes(std::io::BufReader::new(stdin.lock())); let mut next = move || -> String{ bytes.by_ref().map(|r|r.unwrap() as char) .skip_while(|c|c.is_whitespace()) .take_while(|c|!c.is_whitespace()) .collect() }; input_inner!{next, $($r)*} }; } macro_rules! input_inner { ($next:expr) => {}; ($next:expr,) => {}; ($next:expr, $var:ident : $t:tt $($r:tt)*) => { let $var = read_value!($next, $t); input_inner!{$next $($r)*} }; } macro_rules! read_value { ($next:expr, [ $t:tt ; $len:expr ]) => { (0..$len).map(|_| read_value!($next, $t)).collect::>() }; ($next:expr, $t:ty) => ($next().parse::<$t>().expect("Parse error")); } const MOD: i64 = 1_000_000_007; fn powmod(x: i64, mut e: i64) -> i64 { let mut sum = 1; let mut cur = x % MOD; while e > 0 { if e % 2 != 0 { sum = sum * cur % MOD; } cur = cur * cur % MOD; e /= 2; } sum } fn calc(x: u32, y: u32, len: usize) -> i64 { if y == 0 { let tmp = powmod(2, x as i64) - 1; return powmod(tmp, len as i64); } // \sum (-1)^i C(len, i) * 2^{x * (len - i)} * (2^{len - i} - 1)^y let mut comb = 1; let mut tot = 0; for i in 0..len + 1 { let row = powmod(2, (len - i) as i64) - 1; let tmp = comb * powmod(2, x as i64 * (len - i) as i64) % MOD * powmod(row, y as i64) % MOD; if i % 2 == 0 { tot = (tot + tmp) % MOD; } else { tot = (tot + MOD - tmp) % MOD; } comb = comb * (len - i) as i64 % MOD * powmod(i as i64 + 1, MOD - 2) % MOD; } tot } fn main() { input! { n: usize, b: [i64; n], } let mut c = vec![(0, 0)]; for i in 0..n { if b[i] >= 0 { c.push((b[i], i + 1)); } } let mut prod = 1; for i in 0..c.len() - 1 { let (x, y) = c[i]; let (z, w) = c[i + 1]; if (x & z) != x { println!("0"); return; } prod = prod * calc(x.count_ones(), (x ^ z).count_ones(), w - y) % MOD; } println!("{}", prod); }