# ==============================================================================
# COPYRIGHT NO ONE EVERYWHERE LLC (WYOMING HOLDING COMPANY)
# PROJECT: SOVEREIGN STACK
# This artifact is entirely proprietary and cryptographically proven.
# Open-Source usage requires explicit permission from Brandon Scott Schneider.
# ==============================================================================
import math
import json
import random

class HyperAtom:
    def __init__(self, z):
        self.z = z
        # Stability S based on qchem_map.md boundaries
        if z <= 56:
            self.s = 1.0 - (z / 1000.0)
        elif 93 <= z <= 137:
            self.s = 0.8 - (z - 92) * 0.016
        elif 138 <= z <= 229:
            self.s = 0.59825
        else:
            self.s = 0.0
        
        # Hyper-Valence V (14D shell capacity = 14)
        self.v = abs(14 - (z % 14 if z % 14 != 0 else 14))

    def __repr__(self):
        return f"Z={self.z}(S={self.s:.2f}, V={self.v})"

def hyper_quantum_walk_discovery(max_z=229, max_atoms=3):
    atoms = [HyperAtom(z) for z in range(1, max_z + 1) if HyperAtom(z).s > 0.05]
    combinations = []
    
    print(f"[*] Starting Hyper Quantum Walk across {len(atoms)} stable nodes...")
    
    # 1. Binary Combinations (A + B)
    for i in range(len(atoms)):
        for j in range(i, len(atoms)):
            a, b = atoms[i], atoms[j]
            # Stability check: Product of stabilities + interaction bonus
            # If Z_sum is a fixed point (229, 137, 56), add bonus
            z_sum = a.z + b.z
            stability = a.s * b.s
            if z_sum in [56, 137, 229]:
                stability *= 1.2
            
            if stability > 0.5:
                reg_size = a.v + b.v - 2 # 2 valence slots used for the bond
                combinations.append({
                    "formula": f"Z{a.z}-Z{b.z}",
                    "stability": round(stability, 4),
                    "register_bits": max(0, reg_size)
                })
                
    # 2. Ternary Combinations (Limited search)
    # We pick high-stability pairs and add a third atom
    top_binaries = sorted(combinations, key=lambda x: x['stability'], reverse=True)[:50]
    for comb in top_binaries:
        z1, z2 = map(int, comb['formula'].replace('Z', '').split('-'))
        for k in range(len(atoms)):
            c = atoms[k]
            z_sum = z1 + z2 + c.z
            stability = comb['stability'] * c.s
            if z_sum in [229]: stability *= 1.5
            
            if stability > 0.45:
                # Find the atoms to get their valences
                a = HyperAtom(z1)
                b = HyperAtom(z2)
                reg_size = a.v + b.v + c.v - 4 # 4 valence slots for 2 bonds
                combinations.append({
                    "formula": f"Z{z1}-Z{z2}-Z{c.z}",
                    "stability": round(stability, 4),
                    "register_bits": max(0, reg_size)
                })

    return combinations

if __name__ == "__main__":
    results = hyper_quantum_walk_discovery(max_z=229, max_atoms=3)
    
    # Filter and sort by Register Size (Valence)
    results = sorted(results, key=lambda x: x['register_bits'], reverse=True)
    
    print(f"\n[+] HQW Complete. Found {len(results)} stable combinations.")
    print("\n--- TOP COMPUTATIONAL REGISTERS (by Bit Depth) ---")
    for r in results[:20]:
        print(f"[{r['formula']}] | Stability: {r['stability']} | REG Register: {r['register_bits']} bits")
    
    with open("hqw_atomic_combinations.json", "w") as f:
        json.dump(results, f, indent=4)
    print(f"\n[*] Manifest saved to hqw_atomic_combinations.json")