Finish amicable pairs program

amicable/Cargo.toml

@@ -0,0 +1,8 @@
+[package]
+name = "amicable"
+version = "0.1.0"
+edition = "2021"
+
+# See more keys and their definitions at https://doc.rust-lang.org/cargo/reference/manifest.html
+
+[dependencies]

amicable/src/main.rs

@@ -0,0 +1,25 @@
+fn main() {
+    let mut total = 0;
+    for x in 1..10_000 {
+        let candidate = divisors_sum(x);
+        let c_sum = divisors_sum(candidate);
+        if x != candidate && x < candidate && x == c_sum {
+            println!("x: {}, candidate: {}, c_sum: {}", x, candidate, c_sum);
+            total += x+candidate;
+        }
+    }
+    println!("{}", total);
+}
+
+fn divisors_sum(dividend: usize) -> usize {
+    let mut divisor = 2;
+    let mut total = 1;
+    while divisor  * divisor < dividend {
+        if dividend % divisor == 0 {
+            total += divisor;
+            total += dividend / divisor;
+        }
+        divisor+=1;
+    }
+    total
+}