#[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()); } struct Trie { l: Option>, r: Option>, zero: [i32; 18], one: [i32; 18], } fn new() -> Trie { Trie { l: None, r: None, zero: [0; 18], one: [0; 18], } } fn add(t: &mut Trie, dep: usize, a: i32) { for i in 0..18 { if (a & 1 << i) != 0 { t.one[i] += 1; } else { t.zero[i] += 1; } } if dep >= 18 { return; } let now = if (a & 1 << (17 - dep)) != 0 { 1 } else { 0 }; if now == 1 { if t.r.is_none() { t.r = Some(Box::new(new())); } add(&mut t.r.as_mut().unwrap(), dep + 1, a); } else { if t.l.is_none() { t.l = Some(Box::new(new())); } add(&mut t.l.as_mut().unwrap(), dep + 1, a); } } fn or_sum_whole(t: &Trie, a: i32) -> i64 { let mut s: i64 = 0; for i in 0..18 { if (a & 1 << i) != 0 { s += ((t.zero[i] + t.one[i]) as i64) << i; } else { s += (t.one[i] as i64) << i; } } s } fn or_sum(t: &Trie, dep: usize, a: i32, x: i32) -> i64 { if dep >= 18 { return 0; } let now = if (a & 1 << (17 - dep)) != 0 { 1 } else { 0 }; let mut s: i64 = 0; if now == 0 { if (x & 1 << (17 - dep)) != 0 { if let Some(ref l) = t.l { s += or_sum_whole(l, a); } if let Some(ref r) = t.r { s += or_sum(r, dep + 1, a, x); } } else { if let Some(ref l) = t.l { s += or_sum(l, dep + 1, a, x); } } } else { if (x & 1 << (17 - dep)) != 0 { if let Some(ref r) = t.r { s += or_sum_whole(r, a); } if let Some(ref l) = t.l { s += or_sum(l, dep + 1, a, x); } } else { if let Some(ref r) = t.r { s += or_sum(r, dep + 1, a, x); } } } s } 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: i32, a: [i32; n], } let mut trie = new(); let mut sum = 0; for &a in &a { sum += if x < 1 << 18 { or_sum(&trie, 0, a, x) } else { or_sum_whole(&trie, a) }; add(&mut trie, 0, a); } 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(); }