#[allow(unused_imports)] use std::cmp::*; #[allow(unused_imports)] use std::collections::*; use std::io::{Write, BufWriter}; // 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, [graph1; $len:expr]) => {{ let mut g = vec![vec![]; $len]; let ab = read_value!($next, [(usize1, usize1)]); for (a, b) in ab { g[a].push(b); g[b].push(a); } g }}; ($next:expr, ( $($t:tt),* )) => { ( $(read_value!($next, $t)),* ) }; ($next:expr, [ $t:tt ; $len:expr ]) => { (0..$len).map(|_| read_value!($next, $t)).collect::>() }; ($next:expr, chars) => { read_value!($next, String).chars().collect::>() }; ($next:expr, usize1) => (read_value!($next, usize) - 1); ($next:expr, [ $t:tt ]) => {{ let len = read_value!($next, usize); read_value!($next, [$t; len]) }}; ($next:expr, $t:ty) => ($next().parse::<$t>().expect("Parse error")); } #[allow(unused)] macro_rules! debug { ($($format:tt)*) => (write!(std::io::stderr(), $($format)*).unwrap()); } #[allow(unused)] macro_rules! debugln { ($($format:tt)*) => (writeln!(std::io::stderr(), $($format)*).unwrap()); } // 解説解。xor convolution const B: usize = 18; fn calc(mut cnt: Vec, x: usize) -> i64 { for i in 0..B { for b in 0..1 << B { if (b & 1 << i) != 0 { continue; } let x = cnt[b]; let y = cnt[b | 1 << i]; cnt[b] = x + y; cnt[b | 1 << i] = x - y; } } let cnt0 = cnt[0]; for b in 0..1 << B { cnt[b] = cnt[b] * cnt[b]; } for i in 0..B { for b in 0..1 << B { if (b & 1 << i) != 0 { continue; } let x = cnt[b]; let y = cnt[b | 1 << i]; cnt[b] = (x + y) / 2; cnt[b | 1 << i] = (x - y) / 2; } } let mut sum = 0; for i in 0..x { sum += cnt[i]; } (sum - cnt0) / 2 } fn solve() { let out = std::io::stdout(); let mut out = BufWriter::new(out.lock()); macro_rules! puts { ($($format:tt)*) => (let _ = write!(out,$($format)*);); } input! { n: usize, x: usize, a: [usize; n], } let mut cnt = vec![0i64; 1 << B]; for &a in &a { cnt[a] += 1; } let all = calc(cnt.clone(), x); let mut sum = 0; for i in 0..B { let mut cp = cnt.clone(); for bits in 0..1 << B { if (bits & 1 << i) != 0 { cp[bits] = 0; } } let del = calc(cp, x); sum += (all - del) << i; } puts!("{}\n", sum); } fn main() { // In order to avoid potential stack overflow, spawn a new thread. let stack_size = 104_857_600; // 100 MB let thd = std::thread::Builder::new().stack_size(stack_size); thd.spawn(|| solve()).unwrap().join().unwrap(); }