Create engine.cpp

engine.cpp

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+#include <iostream>
+#include <string>
+#include <functional>
+#include <vector>
+
+// APEX Math Engine
+// Purpose: Validates computational logic output
+// License: Apache 2.0
+
+using namespace std;
+
+// A simple simulated "Hard Math" check
+// In production, this would verify specific NP-Hard problem solutions
+bool verify_computation(string puzzle_hash, string user_solution) {
+    // For Vibe Coding: We check if the hash of the solution matches criteria
+    hash<string> hasher;
+    size_t hash_val = hasher(user_solution + puzzle_hash);
+    
+    // Simple difficulty check: Hash must be even (50% chance for demo)
+    // Real APEX uses specific difficulty targets
+    return (hash_val % 2 == 0); 
+}
+
+int main(int argc, char* argv[]) {
+    if (argc < 3) {
+        cout << "Usage: ./apex_engine [puzzle_id] [solution]" << endl;
+        return 1;
+    }
+
+    string puzzle = argv[1];
+    string solution = argv[2];
+
+    if (verify_computation(puzzle, solution)) {
+        cout << "VALID" << endl;
+        return 0; // Success
+    } else {
+        cout << "INVALID" << endl;
+        return 1; // Failure
+    }
+}