a-conjecture-of-mine

diff --git a/Rust/Cargo.lock b/Rust/Cargo.lock
@@ -1,17 +1,4 @@
 [[package]]
-name = "bitflags"
-version = "1.0.4"
-source = "registry+https://github.com/rust-lang/crates.io-index"
-
-[[package]]
-name = "cloudabi"
-version = "0.0.3"
-source = "registry+https://github.com/rust-lang/crates.io-index"
-dependencies = [
- "bitflags 1.0.4 (registry+https://github.com/rust-lang/crates.io-index)",
-]
-
-[[package]]
 name = "crossterm"
 version = "0.6.0"
 source = "registry+https://github.com/rust-lang/crates.io-index"
@@ -101,24 +88,9 @@ version = "0.1.0"
 dependencies = [
  "crossterm 0.6.0 (registry+https://github.com/rust-lang/crates.io-index)",
  "num_cpus 1.8.0 (registry+https://github.com/rust-lang/crates.io-index)",
- "rand 0.6.1 (registry+https://github.com/rust-lang/crates.io-index)",
-]
-
-[[package]]
-name = "fuchsia-zircon"
-version = "0.3.3"
-source = "registry+https://github.com/rust-lang/crates.io-index"
-dependencies = [
- "bitflags 1.0.4 (registry+https://github.com/rust-lang/crates.io-index)",
- "fuchsia-zircon-sys 0.3.3 (registry+https://github.com/rust-lang/crates.io-index)",
 ]
 
 [[package]]
-name = "fuchsia-zircon-sys"
-version = "0.3.3"
-source = "registry+https://github.com/rust-lang/crates.io-index"
-
-[[package]]
 name = "libc"
 version = "0.2.44"
 source = "registry+https://github.com/rust-lang/crates.io-index"
@@ -132,92 +104,6 @@ dependencies = [
 ]
 
 [[package]]
-name = "rand"
-version = "0.6.1"
-source = "registry+https://github.com/rust-lang/crates.io-index"
-dependencies = [
- "cloudabi 0.0.3 (registry+https://github.com/rust-lang/crates.io-index)",
- "fuchsia-zircon 0.3.3 (registry+https://github.com/rust-lang/crates.io-index)",
- "libc 0.2.44 (registry+https://github.com/rust-lang/crates.io-index)",
- "rand_chacha 0.1.0 (registry+https://github.com/rust-lang/crates.io-index)",
- "rand_core 0.3.0 (registry+https://github.com/rust-lang/crates.io-index)",
- "rand_hc 0.1.0 (registry+https://github.com/rust-lang/crates.io-index)",
- "rand_isaac 0.1.1 (registry+https://github.com/rust-lang/crates.io-index)",
- "rand_pcg 0.1.1 (registry+https://github.com/rust-lang/crates.io-index)",
- "rand_xorshift 0.1.0 (registry+https://github.com/rust-lang/crates.io-index)",
- "rustc_version 0.2.3 (registry+https://github.com/rust-lang/crates.io-index)",
- "winapi 0.3.6 (registry+https://github.com/rust-lang/crates.io-index)",
-]
-
-[[package]]
-name = "rand_chacha"
-version = "0.1.0"
-source = "registry+https://github.com/rust-lang/crates.io-index"
-dependencies = [
- "rand_core 0.3.0 (registry+https://github.com/rust-lang/crates.io-index)",
- "rustc_version 0.2.3 (registry+https://github.com/rust-lang/crates.io-index)",
-]
-
-[[package]]
-name = "rand_core"
-version = "0.3.0"
-source = "registry+https://github.com/rust-lang/crates.io-index"
-
-[[package]]
-name = "rand_hc"
-version = "0.1.0"
-source = "registry+https://github.com/rust-lang/crates.io-index"
-dependencies = [
- "rand_core 0.3.0 (registry+https://github.com/rust-lang/crates.io-index)",
-]
-
-[[package]]
-name = "rand_isaac"
-version = "0.1.1"
-source = "registry+https://github.com/rust-lang/crates.io-index"
-dependencies = [
- "rand_core 0.3.0 (registry+https://github.com/rust-lang/crates.io-index)",
-]
-
-[[package]]
-name = "rand_pcg"
-version = "0.1.1"
-source = "registry+https://github.com/rust-lang/crates.io-index"
-dependencies = [
- "rand_core 0.3.0 (registry+https://github.com/rust-lang/crates.io-index)",
- "rustc_version 0.2.3 (registry+https://github.com/rust-lang/crates.io-index)",
-]
-
-[[package]]
-name = "rand_xorshift"
-version = "0.1.0"
-source = "registry+https://github.com/rust-lang/crates.io-index"
-dependencies = [
- "rand_core 0.3.0 (registry+https://github.com/rust-lang/crates.io-index)",
-]
-
-[[package]]
-name = "rustc_version"
-version = "0.2.3"
-source = "registry+https://github.com/rust-lang/crates.io-index"
-dependencies = [
- "semver 0.9.0 (registry+https://github.com/rust-lang/crates.io-index)",
-]
-
-[[package]]
-name = "semver"
-version = "0.9.0"
-source = "registry+https://github.com/rust-lang/crates.io-index"
-dependencies = [
- "semver-parser 0.7.0 (registry+https://github.com/rust-lang/crates.io-index)",
-]
-
-[[package]]
-name = "semver-parser"
-version = "0.7.0"
-source = "registry+https://github.com/rust-lang/crates.io-index"
-
-[[package]]
 name = "termios"
 version = "0.3.1"
 source = "registry+https://github.com/rust-lang/crates.io-index"
@@ -245,8 +131,6 @@ version = "0.4.0"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 
 [metadata]
-"checksum bitflags 1.0.4 (registry+https://github.com/rust-lang/crates.io-index)" = "228047a76f468627ca71776ecdebd732a3423081fcf5125585bcd7c49886ce12"
-"checksum cloudabi 0.0.3 (registry+https://github.com/rust-lang/crates.io-index)" = "ddfc5b9aa5d4507acaf872de71051dfd0e309860e88966e1051e462a077aac4f"
 "checksum crossterm 0.6.0 (registry+https://github.com/rust-lang/crates.io-index)" = "91f04a703cb52c7ea4f800cda4e6839fb61c33955703dea2a8252d81d87178b3"
 "checksum crossterm_cursor 0.1.0 (registry+https://github.com/rust-lang/crates.io-index)" = "e91c25e521708bd85fbdbdc34a854d1582793ab36e9aff2cee58fc79d7728e82"
 "checksum crossterm_input 0.1.0 (registry+https://github.com/rust-lang/crates.io-index)" = "937c314942c75a7893303e3fa1857cfbafdd8a7d8ee369389c79b55cc268c7a7"
@@ -255,20 +139,8 @@ source = "registry+https://github.com/rust-lang/crates.io-index"
 "checksum crossterm_terminal 0.1.0 (registry+https://github.com/rust-lang/crates.io-index)" = "f1b61af4ef3ed3624994e8af7ac87b6a483c2936e63eebe38d9a2810cd4a6d44"
 "checksum crossterm_utils 0.1.0 (registry+https://github.com/rust-lang/crates.io-index)" = "d26f24386ea91f9c55a85531dd3ee3673e4c82729e64567928665aca3a47c741"
 "checksum crossterm_winapi 0.1.1 (registry+https://github.com/rust-lang/crates.io-index)" = "f63b02344710452064687251b49cb0c275df10ea70dcd6038b1eec11665efc0a"
-"checksum fuchsia-zircon 0.3.3 (registry+https://github.com/rust-lang/crates.io-index)" = "2e9763c69ebaae630ba35f74888db465e49e259ba1bc0eda7d06f4a067615d82"
-"checksum fuchsia-zircon-sys 0.3.3 (registry+https://github.com/rust-lang/crates.io-index)" = "3dcaa9ae7725d12cdb85b3ad99a434db70b468c09ded17e012d86b5c1010f7a7"
 "checksum libc 0.2.44 (registry+https://github.com/rust-lang/crates.io-index)" = "10923947f84a519a45c8fefb7dd1b3e8c08747993381adee176d7a82b4195311"
 "checksum num_cpus 1.8.0 (registry+https://github.com/rust-lang/crates.io-index)" = "c51a3322e4bca9d212ad9a158a02abc6934d005490c054a2778df73a70aa0a30"
-"checksum rand 0.6.1 (registry+https://github.com/rust-lang/crates.io-index)" = "ae9d223d52ae411a33cf7e54ec6034ec165df296ccd23533d671a28252b6f66a"
-"checksum rand_chacha 0.1.0 (registry+https://github.com/rust-lang/crates.io-index)" = "771b009e3a508cb67e8823dda454aaa5368c7bc1c16829fb77d3e980440dd34a"
-"checksum rand_core 0.3.0 (registry+https://github.com/rust-lang/crates.io-index)" = "0905b6b7079ec73b314d4c748701f6931eb79fd97c668caa3f1899b22b32c6db"
-"checksum rand_hc 0.1.0 (registry+https://github.com/rust-lang/crates.io-index)" = "7b40677c7be09ae76218dc623efbf7b18e34bced3f38883af07bb75630a21bc4"
-"checksum rand_isaac 0.1.1 (registry+https://github.com/rust-lang/crates.io-index)" = "ded997c9d5f13925be2a6fd7e66bf1872597f759fd9dd93513dd7e92e5a5ee08"
-"checksum rand_pcg 0.1.1 (registry+https://github.com/rust-lang/crates.io-index)" = "086bd09a33c7044e56bb44d5bdde5a60e7f119a9e95b0775f545de759a32fe05"
-"checksum rand_xorshift 0.1.0 (registry+https://github.com/rust-lang/crates.io-index)" = "effa3fcaa47e18db002bdde6060944b6d2f9cfd8db471c30e873448ad9187be3"
-"checksum rustc_version 0.2.3 (registry+https://github.com/rust-lang/crates.io-index)" = "138e3e0acb6c9fb258b19b67cb8abd63c00679d2851805ea151465464fe9030a"
-"checksum semver 0.9.0 (registry+https://github.com/rust-lang/crates.io-index)" = "1d7eb9ef2c18661902cc47e535f9bc51b78acd254da71d375c2f6720d9a40403"
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diff --git a/Rust/Cargo.toml b/Rust/Cargo.toml
@@ -5,5 +5,4 @@ authors = ["Gark Garcia <37553739+GarkGarcia@users.noreply.github.com>"]
 
 [dependencies]
 crossterm = "0.6"
-num_cpus = "1.0"
-rand = "0.6.1"-
\ No newline at end of file
+num_cpus = "1.0"+
\ No newline at end of file

diff --git a/Rust/src/main.rs b/Rust/src/main.rs
@@ -5,31 +5,10 @@
 
 extern crate crossterm;
 extern crate num_cpus;
-extern crate rand;
 
 use std::{env, thread, time::Instant, sync::{Arc, mpsc::{self, Sender, Receiver}}};
 use crossterm::{terminal, input};
 
-struct ArithmeticProg {
-    curr: usize,
-    delta: usize
-}
-
-impl ArithmeticProg {
-    pub fn new(start: usize, delta: usize) -> Self {
-        ArithmeticProg {curr: start, delta}
-    }
-}
-
-impl Iterator for ArithmeticProg {
-    type Item = usize;
-
-    fn next(&mut self) -> Option<Self::Item> {
-        self.curr += self.delta;
-        Some(self.curr)
-    }
-}
-
 fn main() {
     let args: Vec<String> = env::args().collect();
     let prompt = terminal();
@@ -70,6 +49,7 @@ fn main() {
     }
 }
 
+/// Distributes calculations across threads and collect the results
 fn get_countrexpl(max: usize, n_threads: usize) -> Option<(usize, usize)> {
     let sums_cache = Arc::new(get_sums(max));
 
@@ -80,13 +60,11 @@ fn get_countrexpl(max: usize, n_threads: usize) -> Option<(usize, usize)> {
 
         for i in 0..n_threads {
             let thread_countr_sd = coutexpl_sender.clone();
-            let thread_range = ArithmeticProg::new(i, n_threads).take_while(move |&x| x <= max);
+            let thread_range = (i..max).step_by(n_threads);
             let thread_sums = sums_cache.clone();
 
-            let child = thread::spawn(move || {
-                thread_countr_sd.send(get_range_countrexpl(thread_range, thread_sums, max))
-                    .expect(&format!("Thread n°{} was unable to sent a message trought the channel", i));
-            });
+            let child = thread::spawn(move || thread_countr_sd.send(get_range_countrexpl(thread_range, thread_sums, max))
+                .expect(&format!("Thread n°{} was unable to sent a message trought the channel", i)));
             
             child_threads.push(child);
             if let Ok(Some(c_expl)) = coutexpl_reciever.recv() {
@@ -104,7 +82,12 @@ fn get_countrexpl(max: usize, n_threads: usize) -> Option<(usize, usize)> {
     }
 }
 
-fn get_range_countrexpl<T: IntoIterator<Item = usize>>(range: T, sums_cache: Arc<Vec<isize>>, max: usize) -> Option<(usize, usize)> {
+/// Search for counterexamples among the items of a specif iterator.
+fn get_range_countrexpl<T: IntoIterator<Item = usize>>(
+    range: T,
+    sums_cache: Arc<Vec<isize>>,
+    max: usize
+) -> Option<(usize, usize)> {
     for a in range {
         for b in a..max {
             let diff = sums_cache[a + b] - sums_cache[a] - sums_cache[b];