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use std::ops::*;
pub fn pascal_triangle<F, T>(
f: F,
zero: T,
one: T,
size: usize,
) -> Vec<Vec<T>>
where
T: Add<Output = T> + Clone,
F: Fn(T, T) -> T,
{
let mut p: Vec<Vec<T>> = vec![vec![zero.clone(); size]; size];
for i in 0..size {
p[i][0] = one.clone();
}
for i in 1..size {
for j in 1..=i {
p[i][j] = f(p[i - 1][j - 1].clone(), p[i - 1][j].clone());
}
}
p
}
#[cfg(test)]
mod tests {
use super::*;
#[test]
fn test() {
let p = pascal_triangle(|a, b| a / 4.0 + b, 0.0, 1.0, 6);
println!("{:#?}", p);
// assert_eq!(p, vec![
// vec![1, 0, 0, 0, 0, 0],
// vec![1, 1, 0, 0, 0, 0],
// vec![1, 2, 1, 0, 0, 0],
// vec![1, 3, 3, 1, 0, 0],
// vec![1, 4, 6, 4, 1, 0],
// vec![1, 5, 10, 10, 5, 1],
// ]);
}
}