init

fibonacci.cpp

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+#include <iostream>
+#include <vector>
+
+class FibonacciGenerator {
+private:
+    static std::vector<long long> fib_table;
+    
+public:
+    // O(1) lookup for Fibonacci numbers
+    static long long getFibonacci(int index) {
+        if (index < 0 || index >= fib_table.size()) {
+            return -1; // Error case
+        }
+        return fib_table[index];
+    }
+    
+    // Print Fibonacci number at given index
+    static void printFibonacci(int index) {
+        long long result = getFibonacci(index);
+        if (result == -1) {
+            std::cout << "Error: Index out of range" << std::endl;
+        } else {
+            std::cout << "Fibonacci number at index " << index << ": " << result << std::endl;
+        }
+    }
+};
+
+// Precomputed Fibonacci numbers (first 50)
+std::vector<long long> FibonacciGenerator::fib_table = {
+    1, 1, 2, 3, 5, 8, 13, 21, 34, 55,
+    89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765,
+    10946, 17711, 28657, 46368, 75025, 121393, 196418, 317811, 514229, 832040,
+    1346269, 2178309, 3524578, 5702887, 9227465, 14930352, 24157817, 39088169, 63245986, 102334155,
+    165580141, 267914296, 433494437, 701408733, 1134903170, 1836311903
+};
+
+int main() {
+    std::cout << "Fibonacci Number Generator (O(1) lookup)" << std::endl;
+    std::cout << "========================================" << std::endl;
+    
+    // Test various indices
+    int test_indices[] = {0, 5, 10, 15, 20, 25, 30, 40, 45, 49};
+    int num_tests = sizeof(test_indices) / sizeof(test_indices[0]);
+    
+    for (int i = 0; i < num_tests; i++) {
+        FibonacciGenerator::printFibonacci(test_indices[i]);
+    }
+    
+    // Test error case
+    std::cout << "\nTesting error case:" << std::endl;
+    FibonacciGenerator::printFibonacci(50);
+    
+    return 0;
+}