#![allow(unused)] use kyoproio::*; use std::{ collections::*, io::{self, prelude::*}, iter, mem::{replace, swap}, }; fn main() -> io::Result<()> { std::thread::Builder::new() .stack_size(50 * 1024 * 1024) .spawn(solve)? .join() .unwrap(); Ok(()) } fn solve() { let stdin = io::stdin(); let mut kin = KInput::new(stdin.lock()); let stdout = io::stdout(); let mut out = io::BufWriter::new(stdout.lock()); macro_rules! output { ($($args:expr),+) => { write!(&mut out, $($args),+) }; } macro_rules! outputln { ($($args:expr),+) => { output!($($args),+); outputln!() }; () => { output!("\n"); if cfg!(debug_assertions) { out.flush(); } } } let (n, m): (usize, usize) = kin.input(); let mut max = vec![0; m]; let mut cnt = vec![0; 1 << m]; for _ in 0..n { let r: Vec = kin.seq(m); let mut ge = 0; let mut eq = 0; for i in 0..m { ge |= ((r[i] >= max[i]) as usize) << i; eq |= ((r[i] == max[i]) as usize) << i; max[i] = max[i].max(r[i]); } let mut ans = 0; for s in 1..1 << m { if s & eq == s { cnt[s] += 1; } else if s & ge == s { cnt[s] = 1; } else if s & !(ge & !eq) != s { cnt[s] = 0; } ans += if s.count_ones() % 2 == 0 { -1 } else { 1 } * cnt[s]; } outputln!("{}", ans); } } // ----------------------------------------------------------------------------- pub mod kyoproio { #![warn(unused)] use std::io::prelude::*; pub trait Input: Sized { fn str(&mut self) -> &str; fn bytes(&mut self) -> &[u8] { self.str().as_ref() } fn input(&mut self) -> T { self.input_fallible().expect("input error") } fn input_fallible(&mut self) -> Result { T::input(self) } fn iter(&mut self) -> Iter { Iter { input: self, _t: std::marker::PhantomData, } } fn seq>(&mut self, n: usize) -> B { self.iter().take(n).collect() } } pub struct KInput { src: R, buf: String, pos: usize, } impl KInput { pub fn new(src: R) -> Self { Self { src, buf: String::with_capacity(1024), pos: 0, } } } impl Input for KInput { fn str(&mut self) -> &str { loop { if self.pos >= self.buf.len() { self.pos = 0; self.buf.clear(); if self.src.read_line(&mut self.buf).expect("io error") == 0 { return &self.buf; } } let range = self.pos ..self.buf[self.pos..] .find(|c: char| c.is_ascii_whitespace()) .map(|i| i + self.pos) .unwrap_or_else(|| self.buf.len()); self.pos = range.end + 1; if range.end > range.start { return &self.buf[range]; } } } } pub struct Iter<'a, T, I> { input: &'a mut I, _t: std::marker::PhantomData, } impl<'a, T: InputParse, I: Input> Iterator for Iter<'a, T, I> { type Item = T; fn next(&mut self) -> Option { Some(self.input.input()) } } type Result = std::result::Result>; pub trait InputParse: Sized { fn input(input: &mut I) -> Result; } macro_rules! from_str_impls { { $($T:ty)* } => { $(impl InputParse for $T { fn input(input: &mut I) -> Result { input.str().parse::<$T>().map_err(|e| e.into()) } })* }; } from_str_impls! { String char bool f32 f64 isize i8 i16 i32 i64 i128 usize u8 u16 u32 u64 u128 } macro_rules! tuple_impls { ($H:ident $($T:ident)*) => { impl<$H: InputParse, $($T: InputParse),*> InputParse for ($H, $($T),*) { fn input(input: &mut I) -> Result { Ok(($H::input(input)?, $($T::input(input)?),*)) } } tuple_impls!($($T)*); }; () => {}; } tuple_impls!(A B C D E F G); /* impl InputParse for [T; N] { fn input(input: &mut I) -> Result { let mut a = std::mem::MaybeUninit::<[T; N]>::uninit(); for i in 0..N { match T::input(input) { Ok(v) => unsafe { std::ptr::write(&mut (*a.as_mut_ptr())[i], v) }, Err(e) => unsafe { std::ptr::drop_in_place(&mut (*a.as_mut_ptr())[..i]); return Err(e); }, } } Ok(unsafe { a.assume_init() }) } } */ }