diff --git a/smallestthantarget.cpp b/smallestthantarget.cpp
new file mode 100644
index 0000000..58ac249
--- /dev/null
+++ b/smallestthantarget.cpp
@@ -0,0 +1,25 @@
+#include <bits/stdc++.h>
+using namespace std;
+
+int main() {
+    vector<char> letters = {'c', 'f', 'j'};
+    char target = 'j';
+
+    int left = 0;
+    int right = letters.size() - 1;
+
+    while (left <= right) {
+        int mid = left + (right - left) / 2;
+
+        if (letters[mid] <= target) {
+            left = mid + 1;
+        } else {
+            right = mid - 1;
+        }
+    }
+
+    char ans = letters[left % letters.size()];
+    cout << "Next greatest letter: " << ans << endl;
+
+    return 0;
+}