Data update

Task/EKG-sequence-convergence/Rust/ekg-sequence-convergence.rust

@@ -0,0 +1,34 @@
+use gcd::Gcd;
+
+fn ekg_sequence(n: u64, limit: usize) -> Vec<u64> {
+    let mut ekg = [1_u64, n].to_vec();
+    while ekg.len() < limit {
+        for i in 2..2<<18 {
+            if ekg.iter().all(|j| *j != i) && Gcd::gcd(ekg[ekg.len()-1], i) > 1 {
+                ekg.push(i);
+                break;
+            }
+        }
+    }
+    return ekg;
+}
+
+
+fn converge_at(n: u64, m: u64, tmax: usize) -> usize {
+    let a = ekg_sequence(n, tmax);
+    let b = ekg_sequence(m, tmax);
+    for i in 2..tmax {
+        if a[i] == b[i] && a[0..i+1].iter().sum::<u64>() == (b[0..i+1]).iter().sum::<u64>() {
+            return i + 1;
+        }
+    }
+    println!("Error: no convergence in {tmax} terms");
+    return 0;
+}
+
+fn main() {
+    for i in [2_u64, 5, 7, 9, 10] {
+        println!("EKG({i:2}): {:?}", ekg_sequence(i, 30_usize));
+    }
+    println!("EKGs of 5 & 7 converge after term {:?}", converge_at(5, 7, 50));
+}