#[allow(unused_imports)] use std::cmp::*; #[allow(unused_imports)] use std::collections::*; use std::io::Read; #[allow(dead_code)] fn getline() -> String { let mut ret = String::new(); std::io::stdin().read_line(&mut ret).ok().unwrap(); ret } fn get_word() -> String { let stdin = std::io::stdin(); let mut stdin=stdin.lock(); let mut u8b: [u8; 1] = [0]; loop { let mut buf: Vec = Vec::with_capacity(16); loop { let res = stdin.read(&mut u8b); if res.unwrap_or(0) == 0 || u8b[0] <= b' ' { break; } else { buf.push(u8b[0]); } } if buf.len() >= 1 { let ret = String::from_utf8(buf).unwrap(); return ret; } } } #[allow(dead_code)] fn get() -> T { get_word().parse().ok().unwrap() } fn nth(a: i64, n: i64) -> i64 { let mut pass = 0; let mut fail = std::cmp::min(a, 1 << ((64 + n - 1) / n)) + 1; while fail - pass > 1 { let mid = (fail + pass) / 2; let mut tmp = 1i64; for _ in 0..n { tmp = tmp.saturating_mul(mid); } if tmp <= a { pass = mid; } else { fail = mid; } } pass } fn calc(x: i64, k: i64) -> (i64, bool) { let val = 4 * x + k * k; let y = nth(val, 2); ((y - k) / 2, y * y == val) } fn main() { let n: i64 = get(); let k: i64 = get(); let m: i64 = get(); let mut hm = HashMap::new(); for b in 3..19 { let mut x = 1; loop { let mut prod = 1i64; for i in x..x + b + 1 { prod = prod.saturating_mul(i); } if prod > n { break; } *hm.entry(prod).or_insert(0) += 1; x += 1; } } let mut ans = 0; let mut has = 0; for (&val, v) in hm.iter_mut() { if calc(val, k).1 { *v += 1; has += 1; } if *v == m { ans += 1; } } if m == 1 { let y = calc(n, k).0 - has; ans += y; } println!("{}", ans); }