#[allow(unused_imports)] use std::cmp::*; #[allow(unused_imports)] use std::collections::*; use std::io::*; #[allow(dead_code)] fn getline() -> String { let mut ret = String::new(); std::io::stdin().read_line(&mut ret).ok(); return ret; } fn get_word() -> String { let mut stdin = std::io::stdin(); let mut u8b: [u8; 1] = [0]; loop { let mut buf: Vec = Vec::with_capacity(16); loop { let res = stdin.read(&mut u8b); if res.is_err() || res.ok().unwrap() == 0 || u8b[0] <= ' ' as u8 { break; } else { buf.push(u8b[0]); } } if buf.len() >= 1 { let ret = std::string::String::from_utf8(buf).unwrap(); return ret; } } } fn parse(s: &str) -> T { s.parse::().ok().unwrap() } #[allow(dead_code)] fn get() -> T { parse(&get_word()) } fn main() { let n: usize = get(); let m: usize = get(); let w: Vec = (0 .. n).map(|_| get()).collect(); let e: Vec<(usize, usize)> = (0 .. m).map(|_| { let u: usize = get(); let v: usize = get(); (u - 1, v - 1)}).collect(); let md: i64 = 1_000_000_007; let mut tot: i64 = 0; // precompute the number of surjections, for all w_1, w_2 const W: usize = 1001; let mut surj: Vec> = vec![vec![0; W]; W]; surj[0][0] = 1; for i in 1 .. W { for j in 1 .. W { let tmp = (j as i64) * (surj[i - 1][j] + surj[i - 1][j - 1]); surj[i][j] = tmp % md; } } for i in 0 .. n { // collect all j s.t. w[j] >= w[i] let mut edges: Vec> = vec![Vec::new(); n]; for &(u, v) in &e { if w[u] >= w[i] && w[v] >= w[i] { edges[v].push(u); } } let mut reach: Vec = vec![false; n]; let mut que: VecDeque = VecDeque::new(); que.push_back(i); while let Some(v) = que.pop_front() { if reach[v] { continue; } reach[v] = true; for &w in &edges[v] { que.push_back(w); } } for j in 0 .. n { if reach[j] { tot = (tot + surj[w[j]][w[i]]) % md; } } } println!("{}", tot); }