feat: Add binary search implementation and integrate it into main.rs

src/main.rs

@@ -1,3 +1,19 @@
+mod search;
+
+use search::binary_search::binary_search;
+
 fn main() {
-    println!("Hello, world!");
+    let array = [1, 3, 5, 7, 9, 11, 13, 15];
+    let target = 7;
+
+    match binary_search(&array, target) {
+        Some(index) => println!("Found {} at index {}", target, index),
+        None => println!("{} not found in the array", target),
+    }
+
+    let target = 6;
+    match binary_search(&array, target) {
+        Some(index) => println!("Found {} at index {}", target, index),
+        None => println!("{} not found in the array", target),
+    }
 }

src/search/binary_search.rs

@@ -0,0 +1,16 @@
+pub fn binary_search(array: &[i32], target: i32) -> Option<usize> {
+    let mut left = 0;
+    let mut right = array.len();
+
+    while left < right {
+        let mid = left + (right - left) / 2;
+        if array[mid] == target {
+            return Some(mid);
+        } else if array[mid] < target {
+            left = mid + 1;
+        } else {
+            right = mid;
+        }
+    }
+    None
+}

src/search/mod.rs

@@ -0,0 +1 @@
+pub mod binary_search;