//use proconio::input!; //-------------------------------------------------------- macro_rules! input { (source = $s:expr, $($r:tt)*) => { let mut iter = $s.split_whitespace(); let mut next = || { iter.next().unwrap() }; input_inner!{next, $($r)*} }; ($($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, ( $($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:ty) => { $next().parse::<$t>().expect("Parse error") }; } const MOD: u32 = 1_000_000_007; fn main() { input! { n: usize, s: usize, k: usize } if s < (n - 1) * n / 2 * k { println!("{}", 0); return; } let s = s - (n - 1) * n / 2 * k; let mut dp = vec![vec![0_u32; s + 1]; n + 1]; dp[0][0] = 1; for i in 1..=n { for j in 0..=s { dp[i][j] += dp[i - 1][j]; dp[i][j] %= MOD; if j.checked_sub(i).is_some() { dp[i][j] += dp[i][j - i]; } dp[i][j] %= MOD; } } // dbg!(&dp); println!("{}", dp[n][s]); }