#![allow(non_snake_case)] #![allow(unused_imports)] //use itertools::Itertools; //use proconio::input; //use proconio::marker::*; use std::cmp::Reverse; use std::collections::*; fn main() { input! { n:usize, a:[usize;n], } let mut a = a; a.sort(); let mut ans = 0; let suma = a.iter().sum::(); let mut dp = vec![vec![vec![0usize; suma + 1]; n + 1]; n + 1]; dp[0][0][0] = 1; for i in 0..n { for j in 0..n { for k in 0..=suma { if dp[i][j][k] == 0 { continue; } dp[i + 1][j][k] += dp[i][j][k]; dp[i + 1][j + 1][k + a[i]] += dp[i][j][k]; if j != 0 && (k + a[i]) % j == 0 && a[i] * j <= k + a[i] { ans += dp[i + 1][j + 1][k + a[i]]; } } } } println!("{}", ans); } mod input { #[macro_export] macro_rules! input { (source = $s:expr, $($r:tt)*) => { let mut iter = $s.split_whitespace(); input_inner!{iter, $($r)*} }; ($($r:tt)*) => { let s = { use std::io::Read; let mut s = String::new(); std::io::stdin().read_to_string(&mut s).unwrap(); s }; let mut iter = s.split_whitespace(); input_inner!{iter, $($r)*} }; } #[macro_export] macro_rules! input_inner { ($iter:expr) => {}; ($iter:expr, ) => {}; ($iter:expr, $var:ident : $t:tt $($r:tt)*) => { let $var = read_value!($iter, $t); input_inner!{$iter $($r)*} }; } #[macro_export] macro_rules! read_value { ($iter:expr, ( $($t:tt),* )) => { ( $(read_value!($iter, $t)),* ) }; ($iter:expr, [ $t:tt ; $len:expr ]) => { (0..$len).map(|_| read_value!($iter, $t)).collect::>() }; ($iter:expr, chars) => { read_value!($iter, String).chars().collect::>() }; ($iter:expr, usize1) => { read_value!($iter, usize) - 1 }; ($iter:expr, $t:ty) => { $iter.next().unwrap().parse::<$t>().expect("Parse error") }; } }