#[allow(non_snake_case)] 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") }; } // input!マクロ 複数個所には記述しない #[allow(unused_imports)] use std::{ cmp::Reverse, cmp::{max, min}, collections::{BTreeMap, BTreeSet, BinaryHeap, HashMap, VecDeque}, process::exit, }; const DXY: [(isize, isize); 4] = [(0, 1), (0, -1), (1, 0), (-1, 0)]; const FIRST_VALUE: usize = 1_000_000_000; const MOD: usize = 1_000_000_007; #[allow(non_snake_case)] fn main() { input! { N: usize, S: isize, K: usize, } let S = S - (K * N * (N - 1) / 2) as isize; if S < 0 { println!("0"); exit(0); } let mut dp = vec![vec![0; S as usize + 1]; N + 1]; // dp[i][j] := jをi分割するときの総数 dp[0][0] = 1; for i in (1..=N) { for j in (0..=(S as usize)) { if j >= i { dp[i][j] = dp[i - 1][j] + dp[i][j - i]; dp[i][j] %= MOD; } else { dp[i][j] = dp[i - 1][j]; } } } println!("{}", dp[N][S as usize]); }