finish 94
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@@ -6,3 +6,9 @@ edition = "2021"
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# See more keys and their definitions at https://doc.rust-lang.org/cargo/reference/manifest.html
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[dependencies]
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f128 = "0.2.9"
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num-traits = "0.2.15"
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[profile.release]
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lto = "fat"
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codegen-units = 1
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+33
-18
@@ -1,50 +1,65 @@
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type Num = u64;
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use f128::f128;
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use num_traits::Float;
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const ONE_BILLION: Num = 1_000_000_000;
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type Num = f128;
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static mut ONE_BILLION: Num = f128::ZERO;
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const ONE: Num = f128::ONE;
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fn main() {
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let mut sum = 0 as Num;
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unsafe {
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ONE_BILLION = f128::from(1_000_000_000.);
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}
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let mut sum = f128::ZERO;
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'outer: for i in 2.. {
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let a_b = i as Num;
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for c in [a_b - 1, a_b + 1] {
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let t = Triangle::new(a_b, c);
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let a = f128::from(i);
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for c in [a - ONE, a + ONE] {
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let t = Triangle::new(a, c);
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let p = t.perimeter();
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if p > ONE_BILLION {
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if unsafe { p > ONE_BILLION } {
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break 'outer;
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}
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if t.has_integer_area() {
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println!("{:.10}, {:.10}", t.a, t.c);
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sum += p;
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}
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}
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}
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println!("{sum}");
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println!("{sum:.15}");
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}
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struct Triangle {
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a_b: Num,
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a: Num,
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c: Num,
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}
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impl Triangle {
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fn new(a_b: Num, c: Num) -> Self {
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Self { a_b, c }
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fn new(a: Num, c: Num) -> Self {
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Self { a, c }
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}
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fn perimeter(&self) -> Num {
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2 * self.a_b + self.c
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Num::TWO * self.a + self.c
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}
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fn has_integer_area(&self) -> bool {
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let a_b = self.a_b as f64;
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let c = self.c as f64;
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let area = c / 4. * (4. * a_b.powi(2) - c.powi(2)).sqrt();
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is_integer(area)
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is_integer(self.area())
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}
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fn area(&self) -> Num {
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let a = self.a;
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let c = self.c;
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c / Num::from(4.) * (Num::from(4.) * a.powi(2) - c.powi(2)).sqrt()
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}
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}
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fn is_integer(x: f64) -> bool {
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(x.round() - x).abs() <= f64::EPSILON
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fn is_integer(x: Num) -> bool {
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(x.round() - x).abs() <= Num::EPSILON
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}
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