def calculate_address(base_pc, auipc_offset, addi_offset):
    # Shift auipc_offset left by 12 (since it's upper bits) and add to base pc
    # Then add the addi_offset which includes lower 12 bits
    return base_pc + (auipc_offset << 12) + addi_offset

def brute_force_base_address(auipc_offset, addi_offset, plausible_min, plausible_max):
    # Iterate over a range of possible base PC values
    # This range should be adjusted based on the expected memory layout of the target
    for base_pc in range(0x00000000, 0xffffffff, 0x10000):  # example range, adjust as necessary
        address = calculate_address(base_pc, auipc_offset, addi_offset)
        if plausible_min <= address <= plausible_max:
            print(f"Possible base PC: 0x{base_pc:08X} results in valid address: 0x{address:08X}")

# Example usage with hypothetical auipc and addi values
auipc_value = 0xdfd5c  # Example value from your setup
addi_value = -0x506    # Negative because it's a two's complement negative offset

# Define plausible memory range for valid addresses
# These should be adjusted based on the memory layout of your hardware
plausible_min_address = 0x00000000
plausible_max_address = 0xffffffff

brute_force_base_address(auipc_value, addi_value, plausible_min_address, plausible_max_address)