From 8bbb196819976f52ddc814f4ea176cd3a32bfce5 Mon Sep 17 00:00:00 2001 From: Felix Martin Date: Wed, 23 Dec 2020 15:19:49 -0500 Subject: [PATCH] Try to improve the performance of the two-sum assignment --- .gitignore | 1 + Cargo.toml | 5 ++- misc/prims_mst_1.png | Bin 0 -> 165387 bytes misc/prims_mst_2.png | Bin 0 -> 928984 bytes misc/prims_mst_3.png | Bin 0 -> 772952 bytes src/main.rs | 10 +++-- src/two_sum.rs | 96 ++++++++++++++++++++++++++++++++++--------- 7 files changed, 87 insertions(+), 25 deletions(-) create mode 100644 misc/prims_mst_1.png create mode 100644 misc/prims_mst_2.png create mode 100644 misc/prims_mst_3.png diff --git a/.gitignore b/.gitignore index 6f6f9cd..846f9fc 100644 --- a/.gitignore +++ b/.gitignore @@ -16,3 +16,4 @@ algos.sublime-workspace # Data for the exercises. Some files are big so don't check them in. data/c2a4.txt +data/c2a4.back.txt diff --git a/Cargo.toml b/Cargo.toml index 0936d0f..830a0a0 100644 --- a/Cargo.toml +++ b/Cargo.toml @@ -7,4 +7,7 @@ edition = "2018" # See more keys and their definitions at https://doc.rust-lang.org/cargo/reference/manifest.html [dependencies] -rand = "0.7.3" \ No newline at end of file +rand = "0.7.3" + +[profile.release] +opt-level = 3 \ No newline at end of file diff --git a/misc/prims_mst_1.png b/misc/prims_mst_1.png new file mode 100644 index 0000000000000000000000000000000000000000..728f3a0b02825d8e3c1856255b316211c55832b3 GIT binary patch literal 165387 zcmeEtWm6no^k)Nu1qg!#m%%~^?hpbD65JtpAh^4`69_KB-QAtw?jGDVXmE#}=fArj zVc%_6P0g*I?psr*Z=Z91azhp5#4+9wy#W9KLsCLi2>=j20RY@I3OwvgsTLg#>t_HhCqs4?3MlGgThSK?EXOr>Af#WsGA+ZM3 zDe1k-gX(-OV-ph-mv)EoWOfPBtSM6tq6o3vzhzag&WQgrgq@)k8R3MTgpE?)T}W3-(yGfI_;VNGs&!JbHV?faHe?5UiQD6h$0Gl(K($derYE zJF`;);4kkU%a6H;U<)b51~GE3n|0#p)?_}Ufu^gb_cWca{cbDl=kVb|(;a=~Z~e(E 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XGYdb7GM%-u1BrUN`njxgN@xNAmhdgm literal 0 HcmV?d00001 diff --git a/src/main.rs b/src/main.rs index 37b17fa..3c45ce2 100644 --- a/src/main.rs +++ b/src/main.rs @@ -16,6 +16,7 @@ use crate::quick_sort::quick_sort; use crate::ssc::ssc; use crate::two_sum::find_two_sums; + #[allow(dead_code)] fn c1a2() { let vec = util::read_to_vector("data/c1a2.txt").unwrap(); @@ -78,9 +79,10 @@ fn c2a3() { #[allow(dead_code)] fn c2a4() { - let v = util::read_to_vector("data/c2a4.txt").unwrap(); - let r = find_two_sums(v); + let mut v = util::read_to_vector("data/c2a4.txt").unwrap(); + let r = find_two_sums(&mut v); println!("c2a4={:?}", r); + // c2a4=427 } #[allow(dead_code)] @@ -95,6 +97,6 @@ fn main() { // c2a1(); // c2a2(); // c2a3(); - // c2a4(); - c3a1(); + c2a4(); + // c3a1(); } diff --git a/src/two_sum.rs b/src/two_sum.rs index 495d3a4..dfc161c 100644 --- a/src/two_sum.rs +++ b/src/two_sum.rs @@ -1,32 +1,88 @@ use std::collections::HashSet; -use std::iter::FromIterator; +// use std::iter::FromIterator; -fn two_sum(t: i64, xs: &Vec, ys: &HashSet) -> bool { - for &x in xs { - let y = t - x; - if x != y && ys.contains(&y) { - return true; +// fn two_sum(t: i64, xs: &Vec, ys: &HashSet) -> bool { +// for &x in xs { +// let y = t - x; +// if x != y && ys.contains(&y) { +// return true; +// } +// } +// false +// } + +fn binary_search(min_i: usize, xs: &Vec, needle: i64) -> usize { + let mut width = xs.len() - min_i; + let mut i = min_i + width / 2; + + if xs[i] == needle { + return i; + } + + while width > 1 { + + width = width / 2; + + if xs[i] < needle { + i = i + width; + } else if xs[i] > needle { + i = i - width; + + } else { + return i; } } - false + + 0 } -pub fn find_two_sums(xs: Vec) -> usize { +// fn add_two_sums_for_limits(i: usize, xs: &Vec) -> () { +// let t_min = -10000; +// let t_max = 10000; +// let a: i64 = xs[i]; +// let b_min = t_min - a; +// let b_max = t_max - a; +// println!("{:?} {:?}", b_min, b_max); - let mut xs_min: Vec = xs.to_vec(); - xs_min.retain(|&i| i < 0); +// } - let mut xs_max: Vec = xs.to_vec(); - xs_max.retain(|&i| i >= 0); - let xs_max_set: HashSet = HashSet::from_iter(xs_max); - - let mut r: usize = 0; - for t in -10000..10001 { - if two_sum(t, &xs_min, &xs_max_set) { - r += 1 - } +pub fn find_two_sums(xs: &mut Vec) -> usize { + let found: HashSet = HashSet::new(); + const T_MIN: i64 = -3; + const T_MAX: i64 = 3; + xs.sort(); + for i in 0..1 { + // add_two_sums_for_limits(i, &xs); + let a: i64 = xs[i]; + let b_min = T_MIN - a; + let b_max = T_MAX - a; + println!("a={} b_min={} b_max={}", a, b_min, b_max); + let i_min = binary_search(i, &xs, b_min); + let i_max = binary_search(i, &xs, b_max); + println!("{:?} {:?}", i_min, i_max); } - r + found.len() } +// pub fn find_two_sums(xs: Vec) -> usize { + +// let mut xs_min: Vec = xs.to_vec(); +// xs_min.retain(|&i| i < 0); + +// let mut xs_max: Vec = xs.to_vec(); +// xs_max.retain(|&i| i >= 0); +// let xs_max_set: HashSet = HashSet::from_iter(xs_max); + +// let mut r: usize = 0; +// for t in -10000..10001 { +// if t % 10 == 0 { +// println!("{:?}", t); +// } +// if two_sum(t, &xs_min, &xs_max_set) { +// r += 1 +// } +// } +// r +// } +