ETH Price: $1,870.25 (-0.91%)

Transaction Decoder

Block:
6884462 at Dec-14-2018 09:59:59 AM +UTC
Transaction Fee:
0.004514357301053 ETH $8.44
Gas Used:
421,420 Gas / 10.71225215 Gwei

Emitted Events:

29 KittyCore.Birth( owner=0xfC624f8F...F047105f1, kittyId=1282386, matronId=1214072, sireId=1128277, genes=448686570236804283540674410313116713042411872074322806209073752774344833 )
30 KittyCore.Transfer( from=0x00000000...000000000, to=0xfC624f8F...F047105f1, tokenId=1282386 )
31 KittyCore.Birth( owner=0xfC624f8F...F047105f1, kittyId=1282387, matronId=1216017, sireId=1247956, genes=847693308294941877218280325934447581336297206497543778569409075042452520 )
32 KittyCore.Transfer( from=0x00000000...000000000, to=0xfC624f8F...F047105f1, tokenId=1282387 )
33 KittyCore.Birth( owner=0x4FabDA07...683BfcF54, kittyId=1282388, matronId=1280456, sireId=1281763, genes=462317811299542279388567493291684284015719228479712616963522338267437092 )
34 KittyCore.Transfer( from=0x00000000...000000000, to=0x4FabDA07...683BfcF54, tokenId=1282388 )

Account State Difference:

  Address   Before After State Difference Code
0x00000722...eE5116a8a 0.024 Eth0.048 Eth0.024
0x06012c8c...f8E7A266d 34.117047826502638179 Eth34.093047826502638179 Eth0.024
0x0BA9e6b3...f8BcA2636
0 Eth
Nonce: 0
0 Eth
Nonce: 0
From: 0 To: 0
0x3BD4945F...EeBd96542
0 Eth
Nonce: 0
0 Eth
Nonce: 0
From: 0 To: 0
0x43088156...9467dD880
0 Eth
Nonce: 0
0 Eth
Nonce: 0
From: 0 To: 0
0x4DB69753...209DC5BB5
0 Eth
Nonce: 0
0 Eth
Nonce: 0
From: 0 To: 0
0x5113dbCd...8fa3306bC
0 Eth
Nonce: 0
0 Eth
Nonce: 0
From: 0 To: 0
0x5454df8d...7Bf898EEF
0 Eth
Nonce: 0
0 Eth
Nonce: 0
From: 0 To: 0
0x5CBa8864...69bcb1862
0 Eth
Nonce: 0
0 Eth
Nonce: 0
From: 0 To: 0
0x5E6C0526...A8370519f
0 Eth
Nonce: 0
0 Eth
Nonce: 0
From: 0 To: 0
0x5E86f702...1748Abb1E
0 Eth
Nonce: 0
0 Eth
Nonce: 0
From: 0 To: 0
0x6fC9Bcb6...94aE48256
20.739389380040598239 Eth
Nonce: 118808
20.734875022739545239 Eth
Nonce: 118809
0.004514357301053
0x753537B4...aE36d9F85
0 Eth
Nonce: 0
0 Eth
Nonce: 0
From: 0 To: 0
0x8E3aA773...D9d35A40a
0 Eth
Nonce: 0
0 Eth
Nonce: 0
From: 0 To: 0
0x8E3bf6b2...0f44B6094
0 Eth
Nonce: 0
0 Eth
Nonce: 0
From: 0 To: 0
0x918c31F4...4413E40f9
0 Eth
Nonce: 0
0 Eth
Nonce: 0
From: 0 To: 0
0xAD855B40...0dF1631da
0 Eth
Nonce: 0
0 Eth
Nonce: 0
From: 0 To: 0
0xbe2bF981...291926A22
0 Eth
Nonce: 0
0 Eth
Nonce: 0
From: 0 To: 0
0xD61074DD...f581c9998
0 Eth
Nonce: 0
0 Eth
Nonce: 0
From: 0 To: 0
0xdE21fb5e...9d5A69522
0 Eth
Nonce: 0
0 Eth
Nonce: 0
From: 0 To: 0
0xE931372b...6e962A19d
0 Eth
Nonce: 0
0 Eth
Nonce: 0
From: 0 To: 0
(Ethermine)
968.549194344235605937 Eth968.553708701536658937 Eth0.004514357301053

Execution Trace

0x896b516eb300e61cfc96ee1de4b297374e7b70ed.31010504( )
  • 0x000007222caeb29694719e804b24fb3ee5116a8a.01050400( )
    • KittyCore.giveBirth( _matronId=1214072 ) => ( 1282386 )
      • GeneScience.mixGenes( _genes1=516123501946262640950317068875658859443782005773737789553234449689219343, _genes2=460921321314869838097153705725394930349387849023283217140458476089187364, _targetBlock=6884461 ) => ( 448686570236804283540674410313116713042411872074322806209073752774344833 )
      • ETH 0.008 0x000007222caeb29694719e804b24fb3ee5116a8a.CALL( )
      • 0x4db69753850b71d65910733b2a104be209dc5bb5.CALL( )
        • 0x000007222caeb29694719e804b24fb3ee5116a8a.SELFDESTRUCT( )
        • 0x0ba9e6b3c5c11b86f554ad5e9607d30f8bca2636.CALL( )
          • 0x000007222caeb29694719e804b24fb3ee5116a8a.SELFDESTRUCT( )
          • 0xbe2bf981d0a9676a49785778dc1ec7c291926a22.CALL( )
            • 0x000007222caeb29694719e804b24fb3ee5116a8a.SELFDESTRUCT( )
            • 0xde21fb5e1a4ebcb1e749df80a2b84d89d5a69522.CALL( )
              • 0x000007222caeb29694719e804b24fb3ee5116a8a.SELFDESTRUCT( )
              • 0x3bd4945f0de4d2a9d9e81847683e41feebd96542.CALL( )
                • 0x000007222caeb29694719e804b24fb3ee5116a8a.SELFDESTRUCT( )
                • 0x8e3aa7736469e2f777bf91b23be49e4d9d35a40a.CALL( )
                  • 0x000007222caeb29694719e804b24fb3ee5116a8a.SELFDESTRUCT( )
                  • KittyCore.giveBirth( _matronId=1216017 ) => ( 1282387 )
                    • GeneScience.mixGenes( _genes1=849415374796710660429234747024557717543739884278355804762683670801810472, _genes2=847801712490235742796583281438206881329508311304945324358115748997170194, _targetBlock=6884461 ) => ( 847693308294941877218280325934447581336297206497543778569409075042452520 )
                    • ETH 0.008 0x000007222caeb29694719e804b24fb3ee5116a8a.CALL( )
                    • 0xe931372b8fcacb4a4c8abacfc71a3b56e962a19d.CALL( )
                      • 0x000007222caeb29694719e804b24fb3ee5116a8a.SELFDESTRUCT( )
                      • 0x5e86f7025d10e04668945e0a3fa06001748abb1e.CALL( )
                        • 0x000007222caeb29694719e804b24fb3ee5116a8a.SELFDESTRUCT( )
                        • 0x5cba8864e05e05c508cd0c26d6a754c69bcb1862.CALL( )
                          • 0x000007222caeb29694719e804b24fb3ee5116a8a.SELFDESTRUCT( )
                          • 0x5e6c05266c308345fb4bf08d354a616a8370519f.CALL( )
                            • 0x000007222caeb29694719e804b24fb3ee5116a8a.SELFDESTRUCT( )
                            • 0xad855b40ceebc2c9f2aa2c5c536cba40df1631da.CALL( )
                              • 0x000007222caeb29694719e804b24fb3ee5116a8a.SELFDESTRUCT( )
                              • 0x5113dbcd756da8e9db5d2d39d36d1e28fa3306bc.CALL( )
                                • 0x000007222caeb29694719e804b24fb3ee5116a8a.SELFDESTRUCT( )
                                • KittyCore.giveBirth( _matronId=1280456 ) => ( 1282388 )
                                  • GeneScience.mixGenes( _genes1=847629367417741132915664638739106443894065827932166373740265081555884067, _genes2=463060947485710864217867984701935775722836251131353355753777875363663236, _targetBlock=6884461 ) => ( 462317811299542279388567493291684284015719228479712616963522338267437092 )
                                  • ETH 0.008 0x000007222caeb29694719e804b24fb3ee5116a8a.CALL( )
                                  • 0x918c31f4d3fda83bbeb641724db0cf84413e40f9.CALL( )
                                    • 0x000007222caeb29694719e804b24fb3ee5116a8a.SELFDESTRUCT( )
                                    • 0x5454df8d98cdd2b66e728b9eadf54577bf898eef.CALL( )
                                      • 0x000007222caeb29694719e804b24fb3ee5116a8a.SELFDESTRUCT( )
                                      • 0x43088156054f53596483ffd7f05af679467dd880.CALL( )
                                        • 0x000007222caeb29694719e804b24fb3ee5116a8a.SELFDESTRUCT( )
                                        • 0x8e3bf6b29cf66a2e9a53f1e4b5043120f44b6094.CALL( )
                                          • 0x000007222caeb29694719e804b24fb3ee5116a8a.SELFDESTRUCT( )
                                          • 0x753537b49d5d0fcdd09ed9af7043bf7ae36d9f85.CALL( )
                                            • 0x000007222caeb29694719e804b24fb3ee5116a8a.SELFDESTRUCT( )
                                            • 0xd61074dd449fd793dbe47f2153b84e1f581c9998.CALL( )
                                              • 0x000007222caeb29694719e804b24fb3ee5116a8a.SELFDESTRUCT( )
                                                File 1 of 2: KittyCore
                                                pragma solidity ^0.4.11;
                                                
                                                
                                                /**
                                                 * @title Ownable
                                                 * @dev The Ownable contract has an owner address, and provides basic authorization control
                                                 * functions, this simplifies the implementation of "user permissions".
                                                 */
                                                contract Ownable {
                                                  address public owner;
                                                
                                                
                                                  /**
                                                   * @dev The Ownable constructor sets the original `owner` of the contract to the sender
                                                   * account.
                                                   */
                                                  function Ownable() {
                                                    owner = msg.sender;
                                                  }
                                                
                                                
                                                  /**
                                                   * @dev Throws if called by any account other than the owner.
                                                   */
                                                  modifier onlyOwner() {
                                                    require(msg.sender == owner);
                                                    _;
                                                  }
                                                
                                                
                                                  /**
                                                   * @dev Allows the current owner to transfer control of the contract to a newOwner.
                                                   * @param newOwner The address to transfer ownership to.
                                                   */
                                                  function transferOwnership(address newOwner) onlyOwner {
                                                    if (newOwner != address(0)) {
                                                      owner = newOwner;
                                                    }
                                                  }
                                                
                                                }
                                                
                                                
                                                
                                                /// @title Interface for contracts conforming to ERC-721: Non-Fungible Tokens
                                                /// @author Dieter Shirley <[email protected]> (https://github.com/dete)
                                                contract ERC721 {
                                                    // Required methods
                                                    function totalSupply() public view returns (uint256 total);
                                                    function balanceOf(address _owner) public view returns (uint256 balance);
                                                    function ownerOf(uint256 _tokenId) external view returns (address owner);
                                                    function approve(address _to, uint256 _tokenId) external;
                                                    function transfer(address _to, uint256 _tokenId) external;
                                                    function transferFrom(address _from, address _to, uint256 _tokenId) external;
                                                
                                                    // Events
                                                    event Transfer(address from, address to, uint256 tokenId);
                                                    event Approval(address owner, address approved, uint256 tokenId);
                                                
                                                    // Optional
                                                    // function name() public view returns (string name);
                                                    // function symbol() public view returns (string symbol);
                                                    // function tokensOfOwner(address _owner) external view returns (uint256[] tokenIds);
                                                    // function tokenMetadata(uint256 _tokenId, string _preferredTransport) public view returns (string infoUrl);
                                                
                                                    // ERC-165 Compatibility (https://github.com/ethereum/EIPs/issues/165)
                                                    function supportsInterface(bytes4 _interfaceID) external view returns (bool);
                                                }
                                                
                                                
                                                // // Auction wrapper functions
                                                
                                                
                                                // Auction wrapper functions
                                                
                                                
                                                
                                                
                                                
                                                
                                                
                                                /// @title SEKRETOOOO
                                                contract GeneScienceInterface {
                                                    /// @dev simply a boolean to indicate this is the contract we expect to be
                                                    function isGeneScience() public pure returns (bool);
                                                
                                                    /// @dev given genes of kitten 1 & 2, return a genetic combination - may have a random factor
                                                    /// @param genes1 genes of mom
                                                    /// @param genes2 genes of sire
                                                    /// @return the genes that are supposed to be passed down the child
                                                    function mixGenes(uint256 genes1, uint256 genes2, uint256 targetBlock) public returns (uint256);
                                                }
                                                
                                                
                                                
                                                
                                                
                                                
                                                
                                                /// @title A facet of KittyCore that manages special access privileges.
                                                /// @author Axiom Zen (https://www.axiomzen.co)
                                                /// @dev See the KittyCore contract documentation to understand how the various contract facets are arranged.
                                                contract KittyAccessControl {
                                                    // This facet controls access control for CryptoKitties. There are four roles managed here:
                                                    //
                                                    //     - The CEO: The CEO can reassign other roles and change the addresses of our dependent smart
                                                    //         contracts. It is also the only role that can unpause the smart contract. It is initially
                                                    //         set to the address that created the smart contract in the KittyCore constructor.
                                                    //
                                                    //     - The CFO: The CFO can withdraw funds from KittyCore and its auction contracts.
                                                    //
                                                    //     - The COO: The COO can release gen0 kitties to auction, and mint promo cats.
                                                    //
                                                    // It should be noted that these roles are distinct without overlap in their access abilities, the
                                                    // abilities listed for each role above are exhaustive. In particular, while the CEO can assign any
                                                    // address to any role, the CEO address itself doesn't have the ability to act in those roles. This
                                                    // restriction is intentional so that we aren't tempted to use the CEO address frequently out of
                                                    // convenience. The less we use an address, the less likely it is that we somehow compromise the
                                                    // account.
                                                
                                                    /// @dev Emited when contract is upgraded - See README.md for updgrade plan
                                                    event ContractUpgrade(address newContract);
                                                
                                                    // The addresses of the accounts (or contracts) that can execute actions within each roles.
                                                    address public ceoAddress;
                                                    address public cfoAddress;
                                                    address public cooAddress;
                                                
                                                    // @dev Keeps track whether the contract is paused. When that is true, most actions are blocked
                                                    bool public paused = false;
                                                
                                                    /// @dev Access modifier for CEO-only functionality
                                                    modifier onlyCEO() {
                                                        require(msg.sender == ceoAddress);
                                                        _;
                                                    }
                                                
                                                    /// @dev Access modifier for CFO-only functionality
                                                    modifier onlyCFO() {
                                                        require(msg.sender == cfoAddress);
                                                        _;
                                                    }
                                                
                                                    /// @dev Access modifier for COO-only functionality
                                                    modifier onlyCOO() {
                                                        require(msg.sender == cooAddress);
                                                        _;
                                                    }
                                                
                                                    modifier onlyCLevel() {
                                                        require(
                                                            msg.sender == cooAddress ||
                                                            msg.sender == ceoAddress ||
                                                            msg.sender == cfoAddress
                                                        );
                                                        _;
                                                    }
                                                
                                                    /// @dev Assigns a new address to act as the CEO. Only available to the current CEO.
                                                    /// @param _newCEO The address of the new CEO
                                                    function setCEO(address _newCEO) external onlyCEO {
                                                        require(_newCEO != address(0));
                                                
                                                        ceoAddress = _newCEO;
                                                    }
                                                
                                                    /// @dev Assigns a new address to act as the CFO. Only available to the current CEO.
                                                    /// @param _newCFO The address of the new CFO
                                                    function setCFO(address _newCFO) external onlyCEO {
                                                        require(_newCFO != address(0));
                                                
                                                        cfoAddress = _newCFO;
                                                    }
                                                
                                                    /// @dev Assigns a new address to act as the COO. Only available to the current CEO.
                                                    /// @param _newCOO The address of the new COO
                                                    function setCOO(address _newCOO) external onlyCEO {
                                                        require(_newCOO != address(0));
                                                
                                                        cooAddress = _newCOO;
                                                    }
                                                
                                                    /*** Pausable functionality adapted from OpenZeppelin ***/
                                                
                                                    /// @dev Modifier to allow actions only when the contract IS NOT paused
                                                    modifier whenNotPaused() {
                                                        require(!paused);
                                                        _;
                                                    }
                                                
                                                    /// @dev Modifier to allow actions only when the contract IS paused
                                                    modifier whenPaused {
                                                        require(paused);
                                                        _;
                                                    }
                                                
                                                    /// @dev Called by any "C-level" role to pause the contract. Used only when
                                                    ///  a bug or exploit is detected and we need to limit damage.
                                                    function pause() external onlyCLevel whenNotPaused {
                                                        paused = true;
                                                    }
                                                
                                                    /// @dev Unpauses the smart contract. Can only be called by the CEO, since
                                                    ///  one reason we may pause the contract is when CFO or COO accounts are
                                                    ///  compromised.
                                                    /// @notice This is public rather than external so it can be called by
                                                    ///  derived contracts.
                                                    function unpause() public onlyCEO whenPaused {
                                                        // can't unpause if contract was upgraded
                                                        paused = false;
                                                    }
                                                }
                                                
                                                
                                                
                                                
                                                /// @title Base contract for CryptoKitties. Holds all common structs, events and base variables.
                                                /// @author Axiom Zen (https://www.axiomzen.co)
                                                /// @dev See the KittyCore contract documentation to understand how the various contract facets are arranged.
                                                contract KittyBase is KittyAccessControl {
                                                    /*** EVENTS ***/
                                                
                                                    /// @dev The Birth event is fired whenever a new kitten comes into existence. This obviously
                                                    ///  includes any time a cat is created through the giveBirth method, but it is also called
                                                    ///  when a new gen0 cat is created.
                                                    event Birth(address owner, uint256 kittyId, uint256 matronId, uint256 sireId, uint256 genes);
                                                
                                                    /// @dev Transfer event as defined in current draft of ERC721. Emitted every time a kitten
                                                    ///  ownership is assigned, including births.
                                                    event Transfer(address from, address to, uint256 tokenId);
                                                
                                                    /*** DATA TYPES ***/
                                                
                                                    /// @dev The main Kitty struct. Every cat in CryptoKitties is represented by a copy
                                                    ///  of this structure, so great care was taken to ensure that it fits neatly into
                                                    ///  exactly two 256-bit words. Note that the order of the members in this structure
                                                    ///  is important because of the byte-packing rules used by Ethereum.
                                                    ///  Ref: http://solidity.readthedocs.io/en/develop/miscellaneous.html
                                                    struct Kitty {
                                                        // The Kitty's genetic code is packed into these 256-bits, the format is
                                                        // sooper-sekret! A cat's genes never change.
                                                        uint256 genes;
                                                
                                                        // The timestamp from the block when this cat came into existence.
                                                        uint64 birthTime;
                                                
                                                        // The minimum timestamp after which this cat can engage in breeding
                                                        // activities again. This same timestamp is used for the pregnancy
                                                        // timer (for matrons) as well as the siring cooldown.
                                                        uint64 cooldownEndBlock;
                                                
                                                        // The ID of the parents of this kitty, set to 0 for gen0 cats.
                                                        // Note that using 32-bit unsigned integers limits us to a "mere"
                                                        // 4 billion cats. This number might seem small until you realize
                                                        // that Ethereum currently has a limit of about 500 million
                                                        // transactions per year! So, this definitely won't be a problem
                                                        // for several years (even as Ethereum learns to scale).
                                                        uint32 matronId;
                                                        uint32 sireId;
                                                
                                                        // Set to the ID of the sire cat for matrons that are pregnant,
                                                        // zero otherwise. A non-zero value here is how we know a cat
                                                        // is pregnant. Used to retrieve the genetic material for the new
                                                        // kitten when the birth transpires.
                                                        uint32 siringWithId;
                                                
                                                        // Set to the index in the cooldown array (see below) that represents
                                                        // the current cooldown duration for this Kitty. This starts at zero
                                                        // for gen0 cats, and is initialized to floor(generation/2) for others.
                                                        // Incremented by one for each successful breeding action, regardless
                                                        // of whether this cat is acting as matron or sire.
                                                        uint16 cooldownIndex;
                                                
                                                        // The "generation number" of this cat. Cats minted by the CK contract
                                                        // for sale are called "gen0" and have a generation number of 0. The
                                                        // generation number of all other cats is the larger of the two generation
                                                        // numbers of their parents, plus one.
                                                        // (i.e. max(matron.generation, sire.generation) + 1)
                                                        uint16 generation;
                                                    }
                                                
                                                    /*** CONSTANTS ***/
                                                
                                                    /// @dev A lookup table indicating the cooldown duration after any successful
                                                    ///  breeding action, called "pregnancy time" for matrons and "siring cooldown"
                                                    ///  for sires. Designed such that the cooldown roughly doubles each time a cat
                                                    ///  is bred, encouraging owners not to just keep breeding the same cat over
                                                    ///  and over again. Caps out at one week (a cat can breed an unbounded number
                                                    ///  of times, and the maximum cooldown is always seven days).
                                                    uint32[14] public cooldowns = [
                                                        uint32(1 minutes),
                                                        uint32(2 minutes),
                                                        uint32(5 minutes),
                                                        uint32(10 minutes),
                                                        uint32(30 minutes),
                                                        uint32(1 hours),
                                                        uint32(2 hours),
                                                        uint32(4 hours),
                                                        uint32(8 hours),
                                                        uint32(16 hours),
                                                        uint32(1 days),
                                                        uint32(2 days),
                                                        uint32(4 days),
                                                        uint32(7 days)
                                                    ];
                                                
                                                    // An approximation of currently how many seconds are in between blocks.
                                                    uint256 public secondsPerBlock = 15;
                                                
                                                    /*** STORAGE ***/
                                                
                                                    /// @dev An array containing the Kitty struct for all Kitties in existence. The ID
                                                    ///  of each cat is actually an index into this array. Note that ID 0 is a negacat,
                                                    ///  the unKitty, the mythical beast that is the parent of all gen0 cats. A bizarre
                                                    ///  creature that is both matron and sire... to itself! Has an invalid genetic code.
                                                    ///  In other words, cat ID 0 is invalid... ;-)
                                                    Kitty[] kitties;
                                                
                                                    /// @dev A mapping from cat IDs to the address that owns them. All cats have
                                                    ///  some valid owner address, even gen0 cats are created with a non-zero owner.
                                                    mapping (uint256 => address) public kittyIndexToOwner;
                                                
                                                    // @dev A mapping from owner address to count of tokens that address owns.
                                                    //  Used internally inside balanceOf() to resolve ownership count.
                                                    mapping (address => uint256) ownershipTokenCount;
                                                
                                                    /// @dev A mapping from KittyIDs to an address that has been approved to call
                                                    ///  transferFrom(). Each Kitty can only have one approved address for transfer
                                                    ///  at any time. A zero value means no approval is outstanding.
                                                    mapping (uint256 => address) public kittyIndexToApproved;
                                                
                                                    /// @dev A mapping from KittyIDs to an address that has been approved to use
                                                    ///  this Kitty for siring via breedWith(). Each Kitty can only have one approved
                                                    ///  address for siring at any time. A zero value means no approval is outstanding.
                                                    mapping (uint256 => address) public sireAllowedToAddress;
                                                
                                                    /// @dev The address of the ClockAuction contract that handles sales of Kitties. This
                                                    ///  same contract handles both peer-to-peer sales as well as the gen0 sales which are
                                                    ///  initiated every 15 minutes.
                                                    SaleClockAuction public saleAuction;
                                                
                                                    /// @dev The address of a custom ClockAuction subclassed contract that handles siring
                                                    ///  auctions. Needs to be separate from saleAuction because the actions taken on success
                                                    ///  after a sales and siring auction are quite different.
                                                    SiringClockAuction public siringAuction;
                                                
                                                    /// @dev Assigns ownership of a specific Kitty to an address.
                                                    function _transfer(address _from, address _to, uint256 _tokenId) internal {
                                                        // Since the number of kittens is capped to 2^32 we can't overflow this
                                                        ownershipTokenCount[_to]++;
                                                        // transfer ownership
                                                        kittyIndexToOwner[_tokenId] = _to;
                                                        // When creating new kittens _from is 0x0, but we can't account that address.
                                                        if (_from != address(0)) {
                                                            ownershipTokenCount[_from]--;
                                                            // once the kitten is transferred also clear sire allowances
                                                            delete sireAllowedToAddress[_tokenId];
                                                            // clear any previously approved ownership exchange
                                                            delete kittyIndexToApproved[_tokenId];
                                                        }
                                                        // Emit the transfer event.
                                                        Transfer(_from, _to, _tokenId);
                                                    }
                                                
                                                    /// @dev An internal method that creates a new kitty and stores it. This
                                                    ///  method doesn't do any checking and should only be called when the
                                                    ///  input data is known to be valid. Will generate both a Birth event
                                                    ///  and a Transfer event.
                                                    /// @param _matronId The kitty ID of the matron of this cat (zero for gen0)
                                                    /// @param _sireId The kitty ID of the sire of this cat (zero for gen0)
                                                    /// @param _generation The generation number of this cat, must be computed by caller.
                                                    /// @param _genes The kitty's genetic code.
                                                    /// @param _owner The inital owner of this cat, must be non-zero (except for the unKitty, ID 0)
                                                    function _createKitty(
                                                        uint256 _matronId,
                                                        uint256 _sireId,
                                                        uint256 _generation,
                                                        uint256 _genes,
                                                        address _owner
                                                    )
                                                        internal
                                                        returns (uint)
                                                    {
                                                        // These requires are not strictly necessary, our calling code should make
                                                        // sure that these conditions are never broken. However! _createKitty() is already
                                                        // an expensive call (for storage), and it doesn't hurt to be especially careful
                                                        // to ensure our data structures are always valid.
                                                        require(_matronId == uint256(uint32(_matronId)));
                                                        require(_sireId == uint256(uint32(_sireId)));
                                                        require(_generation == uint256(uint16(_generation)));
                                                
                                                        // New kitty starts with the same cooldown as parent gen/2
                                                        uint16 cooldownIndex = uint16(_generation / 2);
                                                        if (cooldownIndex > 13) {
                                                            cooldownIndex = 13;
                                                        }
                                                
                                                        Kitty memory _kitty = Kitty({
                                                            genes: _genes,
                                                            birthTime: uint64(now),
                                                            cooldownEndBlock: 0,
                                                            matronId: uint32(_matronId),
                                                            sireId: uint32(_sireId),
                                                            siringWithId: 0,
                                                            cooldownIndex: cooldownIndex,
                                                            generation: uint16(_generation)
                                                        });
                                                        uint256 newKittenId = kitties.push(_kitty) - 1;
                                                
                                                        // It's probably never going to happen, 4 billion cats is A LOT, but
                                                        // let's just be 100% sure we never let this happen.
                                                        require(newKittenId == uint256(uint32(newKittenId)));
                                                
                                                        // emit the birth event
                                                        Birth(
                                                            _owner,
                                                            newKittenId,
                                                            uint256(_kitty.matronId),
                                                            uint256(_kitty.sireId),
                                                            _kitty.genes
                                                        );
                                                
                                                        // This will assign ownership, and also emit the Transfer event as
                                                        // per ERC721 draft
                                                        _transfer(0, _owner, newKittenId);
                                                
                                                        return newKittenId;
                                                    }
                                                
                                                    // Any C-level can fix how many seconds per blocks are currently observed.
                                                    function setSecondsPerBlock(uint256 secs) external onlyCLevel {
                                                        require(secs < cooldowns[0]);
                                                        secondsPerBlock = secs;
                                                    }
                                                }
                                                
                                                
                                                
                                                
                                                
                                                /// @title The external contract that is responsible for generating metadata for the kitties,
                                                ///  it has one function that will return the data as bytes.
                                                contract ERC721Metadata {
                                                    /// @dev Given a token Id, returns a byte array that is supposed to be converted into string.
                                                    function getMetadata(uint256 _tokenId, string) public view returns (bytes32[4] buffer, uint256 count) {
                                                        if (_tokenId == 1) {
                                                            buffer[0] = "Hello World! :D";
                                                            count = 15;
                                                        } else if (_tokenId == 2) {
                                                            buffer[0] = "I would definitely choose a medi";
                                                            buffer[1] = "um length string.";
                                                            count = 49;
                                                        } else if (_tokenId == 3) {
                                                            buffer[0] = "Lorem ipsum dolor sit amet, mi e";
                                                            buffer[1] = "st accumsan dapibus augue lorem,";
                                                            buffer[2] = " tristique vestibulum id, libero";
                                                            buffer[3] = " suscipit varius sapien aliquam.";
                                                            count = 128;
                                                        }
                                                    }
                                                }
                                                
                                                
                                                /// @title The facet of the CryptoKitties core contract that manages ownership, ERC-721 (draft) compliant.
                                                /// @author Axiom Zen (https://www.axiomzen.co)
                                                /// @dev Ref: https://github.com/ethereum/EIPs/issues/721
                                                ///  See the KittyCore contract documentation to understand how the various contract facets are arranged.
                                                contract KittyOwnership is KittyBase, ERC721 {
                                                
                                                    /// @notice Name and symbol of the non fungible token, as defined in ERC721.
                                                    string public constant name = "CryptoKitties";
                                                    string public constant symbol = "CK";
                                                
                                                    // The contract that will return kitty metadata
                                                    ERC721Metadata public erc721Metadata;
                                                
                                                    bytes4 constant InterfaceSignature_ERC165 =
                                                        bytes4(keccak256('supportsInterface(bytes4)'));
                                                
                                                    bytes4 constant InterfaceSignature_ERC721 =
                                                        bytes4(keccak256('name()')) ^
                                                        bytes4(keccak256('symbol()')) ^
                                                        bytes4(keccak256('totalSupply()')) ^
                                                        bytes4(keccak256('balanceOf(address)')) ^
                                                        bytes4(keccak256('ownerOf(uint256)')) ^
                                                        bytes4(keccak256('approve(address,uint256)')) ^
                                                        bytes4(keccak256('transfer(address,uint256)')) ^
                                                        bytes4(keccak256('transferFrom(address,address,uint256)')) ^
                                                        bytes4(keccak256('tokensOfOwner(address)')) ^
                                                        bytes4(keccak256('tokenMetadata(uint256,string)'));
                                                
                                                    /// @notice Introspection interface as per ERC-165 (https://github.com/ethereum/EIPs/issues/165).
                                                    ///  Returns true for any standardized interfaces implemented by this contract. We implement
                                                    ///  ERC-165 (obviously!) and ERC-721.
                                                    function supportsInterface(bytes4 _interfaceID) external view returns (bool)
                                                    {
                                                        // DEBUG ONLY
                                                        //require((InterfaceSignature_ERC165 == 0x01ffc9a7) && (InterfaceSignature_ERC721 == 0x9a20483d));
                                                
                                                        return ((_interfaceID == InterfaceSignature_ERC165) || (_interfaceID == InterfaceSignature_ERC721));
                                                    }
                                                
                                                    /// @dev Set the address of the sibling contract that tracks metadata.
                                                    ///  CEO only.
                                                    function setMetadataAddress(address _contractAddress) public onlyCEO {
                                                        erc721Metadata = ERC721Metadata(_contractAddress);
                                                    }
                                                
                                                    // Internal utility functions: These functions all assume that their input arguments
                                                    // are valid. We leave it to public methods to sanitize their inputs and follow
                                                    // the required logic.
                                                
                                                    /// @dev Checks if a given address is the current owner of a particular Kitty.
                                                    /// @param _claimant the address we are validating against.
                                                    /// @param _tokenId kitten id, only valid when > 0
                                                    function _owns(address _claimant, uint256 _tokenId) internal view returns (bool) {
                                                        return kittyIndexToOwner[_tokenId] == _claimant;
                                                    }
                                                
                                                    /// @dev Checks if a given address currently has transferApproval for a particular Kitty.
                                                    /// @param _claimant the address we are confirming kitten is approved for.
                                                    /// @param _tokenId kitten id, only valid when > 0
                                                    function _approvedFor(address _claimant, uint256 _tokenId) internal view returns (bool) {
                                                        return kittyIndexToApproved[_tokenId] == _claimant;
                                                    }
                                                
                                                    /// @dev Marks an address as being approved for transferFrom(), overwriting any previous
                                                    ///  approval. Setting _approved to address(0) clears all transfer approval.
                                                    ///  NOTE: _approve() does NOT send the Approval event. This is intentional because
                                                    ///  _approve() and transferFrom() are used together for putting Kitties on auction, and
                                                    ///  there is no value in spamming the log with Approval events in that case.
                                                    function _approve(uint256 _tokenId, address _approved) internal {
                                                        kittyIndexToApproved[_tokenId] = _approved;
                                                    }
                                                
                                                    /// @notice Returns the number of Kitties owned by a specific address.
                                                    /// @param _owner The owner address to check.
                                                    /// @dev Required for ERC-721 compliance
                                                    function balanceOf(address _owner) public view returns (uint256 count) {
                                                        return ownershipTokenCount[_owner];
                                                    }
                                                
                                                    /// @notice Transfers a Kitty to another address. If transferring to a smart
                                                    ///  contract be VERY CAREFUL to ensure that it is aware of ERC-721 (or
                                                    ///  CryptoKitties specifically) or your Kitty may be lost forever. Seriously.
                                                    /// @param _to The address of the recipient, can be a user or contract.
                                                    /// @param _tokenId The ID of the Kitty to transfer.
                                                    /// @dev Required for ERC-721 compliance.
                                                    function transfer(
                                                        address _to,
                                                        uint256 _tokenId
                                                    )
                                                        external
                                                        whenNotPaused
                                                    {
                                                        // Safety check to prevent against an unexpected 0x0 default.
                                                        require(_to != address(0));
                                                        // Disallow transfers to this contract to prevent accidental misuse.
                                                        // The contract should never own any kitties (except very briefly
                                                        // after a gen0 cat is created and before it goes on auction).
                                                        require(_to != address(this));
                                                        // Disallow transfers to the auction contracts to prevent accidental
                                                        // misuse. Auction contracts should only take ownership of kitties
                                                        // through the allow + transferFrom flow.
                                                        require(_to != address(saleAuction));
                                                        require(_to != address(siringAuction));
                                                
                                                        // You can only send your own cat.
                                                        require(_owns(msg.sender, _tokenId));
                                                
                                                        // Reassign ownership, clear pending approvals, emit Transfer event.
                                                        _transfer(msg.sender, _to, _tokenId);
                                                    }
                                                
                                                    /// @notice Grant another address the right to transfer a specific Kitty via
                                                    ///  transferFrom(). This is the preferred flow for transfering NFTs to contracts.
                                                    /// @param _to The address to be granted transfer approval. Pass address(0) to
                                                    ///  clear all approvals.
                                                    /// @param _tokenId The ID of the Kitty that can be transferred if this call succeeds.
                                                    /// @dev Required for ERC-721 compliance.
                                                    function approve(
                                                        address _to,
                                                        uint256 _tokenId
                                                    )
                                                        external
                                                        whenNotPaused
                                                    {
                                                        // Only an owner can grant transfer approval.
                                                        require(_owns(msg.sender, _tokenId));
                                                
                                                        // Register the approval (replacing any previous approval).
                                                        _approve(_tokenId, _to);
                                                
                                                        // Emit approval event.
                                                        Approval(msg.sender, _to, _tokenId);
                                                    }
                                                
                                                    /// @notice Transfer a Kitty owned by another address, for which the calling address
                                                    ///  has previously been granted transfer approval by the owner.
                                                    /// @param _from The address that owns the Kitty to be transfered.
                                                    /// @param _to The address that should take ownership of the Kitty. Can be any address,
                                                    ///  including the caller.
                                                    /// @param _tokenId The ID of the Kitty to be transferred.
                                                    /// @dev Required for ERC-721 compliance.
                                                    function transferFrom(
                                                        address _from,
                                                        address _to,
                                                        uint256 _tokenId
                                                    )
                                                        external
                                                        whenNotPaused
                                                    {
                                                        // Safety check to prevent against an unexpected 0x0 default.
                                                        require(_to != address(0));
                                                        // Disallow transfers to this contract to prevent accidental misuse.
                                                        // The contract should never own any kitties (except very briefly
                                                        // after a gen0 cat is created and before it goes on auction).
                                                        require(_to != address(this));
                                                        // Check for approval and valid ownership
                                                        require(_approvedFor(msg.sender, _tokenId));
                                                        require(_owns(_from, _tokenId));
                                                
                                                        // Reassign ownership (also clears pending approvals and emits Transfer event).
                                                        _transfer(_from, _to, _tokenId);
                                                    }
                                                
                                                    /// @notice Returns the total number of Kitties currently in existence.
                                                    /// @dev Required for ERC-721 compliance.
                                                    function totalSupply() public view returns (uint) {
                                                        return kitties.length - 1;
                                                    }
                                                
                                                    /// @notice Returns the address currently assigned ownership of a given Kitty.
                                                    /// @dev Required for ERC-721 compliance.
                                                    function ownerOf(uint256 _tokenId)
                                                        external
                                                        view
                                                        returns (address owner)
                                                    {
                                                        owner = kittyIndexToOwner[_tokenId];
                                                
                                                        require(owner != address(0));
                                                    }
                                                
                                                    /// @notice Returns a list of all Kitty IDs assigned to an address.
                                                    /// @param _owner The owner whose Kitties we are interested in.
                                                    /// @dev This method MUST NEVER be called by smart contract code. First, it's fairly
                                                    ///  expensive (it walks the entire Kitty array looking for cats belonging to owner),
                                                    ///  but it also returns a dynamic array, which is only supported for web3 calls, and
                                                    ///  not contract-to-contract calls.
                                                    function tokensOfOwner(address _owner) external view returns(uint256[] ownerTokens) {
                                                        uint256 tokenCount = balanceOf(_owner);
                                                
                                                        if (tokenCount == 0) {
                                                            // Return an empty array
                                                            return new uint256[](0);
                                                        } else {
                                                            uint256[] memory result = new uint256[](tokenCount);
                                                            uint256 totalCats = totalSupply();
                                                            uint256 resultIndex = 0;
                                                
                                                            // We count on the fact that all cats have IDs starting at 1 and increasing
                                                            // sequentially up to the totalCat count.
                                                            uint256 catId;
                                                
                                                            for (catId = 1; catId <= totalCats; catId++) {
                                                                if (kittyIndexToOwner[catId] == _owner) {
                                                                    result[resultIndex] = catId;
                                                                    resultIndex++;
                                                                }
                                                            }
                                                
                                                            return result;
                                                        }
                                                    }
                                                
                                                    /// @dev Adapted from memcpy() by @arachnid (Nick Johnson <[email protected]>)
                                                    ///  This method is licenced under the Apache License.
                                                    ///  Ref: https://github.com/Arachnid/solidity-stringutils/blob/2f6ca9accb48ae14c66f1437ec50ed19a0616f78/strings.sol
                                                    function _memcpy(uint _dest, uint _src, uint _len) private view {
                                                        // Copy word-length chunks while possible
                                                        for(; _len >= 32; _len -= 32) {
                                                            assembly {
                                                                mstore(_dest, mload(_src))
                                                            }
                                                            _dest += 32;
                                                            _src += 32;
                                                        }
                                                
                                                        // Copy remaining bytes
                                                        uint256 mask = 256 ** (32 - _len) - 1;
                                                        assembly {
                                                            let srcpart := and(mload(_src), not(mask))
                                                            let destpart := and(mload(_dest), mask)
                                                            mstore(_dest, or(destpart, srcpart))
                                                        }
                                                    }
                                                
                                                    /// @dev Adapted from toString(slice) by @arachnid (Nick Johnson <[email protected]>)
                                                    ///  This method is licenced under the Apache License.
                                                    ///  Ref: https://github.com/Arachnid/solidity-stringutils/blob/2f6ca9accb48ae14c66f1437ec50ed19a0616f78/strings.sol
                                                    function _toString(bytes32[4] _rawBytes, uint256 _stringLength) private view returns (string) {
                                                        var outputString = new string(_stringLength);
                                                        uint256 outputPtr;
                                                        uint256 bytesPtr;
                                                
                                                        assembly {
                                                            outputPtr := add(outputString, 32)
                                                            bytesPtr := _rawBytes
                                                        }
                                                
                                                        _memcpy(outputPtr, bytesPtr, _stringLength);
                                                
                                                        return outputString;
                                                    }
                                                
                                                    /// @notice Returns a URI pointing to a metadata package for this token conforming to
                                                    ///  ERC-721 (https://github.com/ethereum/EIPs/issues/721)
                                                    /// @param _tokenId The ID number of the Kitty whose metadata should be returned.
                                                    function tokenMetadata(uint256 _tokenId, string _preferredTransport) external view returns (string infoUrl) {
                                                        require(erc721Metadata != address(0));
                                                        bytes32[4] memory buffer;
                                                        uint256 count;
                                                        (buffer, count) = erc721Metadata.getMetadata(_tokenId, _preferredTransport);
                                                
                                                        return _toString(buffer, count);
                                                    }
                                                }
                                                
                                                
                                                
                                                /// @title A facet of KittyCore that manages Kitty siring, gestation, and birth.
                                                /// @author Axiom Zen (https://www.axiomzen.co)
                                                /// @dev See the KittyCore contract documentation to understand how the various contract facets are arranged.
                                                contract KittyBreeding is KittyOwnership {
                                                
                                                    /// @dev The Pregnant event is fired when two cats successfully breed and the pregnancy
                                                    ///  timer begins for the matron.
                                                    event Pregnant(address owner, uint256 matronId, uint256 sireId, uint256 cooldownEndBlock);
                                                
                                                    /// @notice The minimum payment required to use breedWithAuto(). This fee goes towards
                                                    ///  the gas cost paid by whatever calls giveBirth(), and can be dynamically updated by
                                                    ///  the COO role as the gas price changes.
                                                    uint256 public autoBirthFee = 2 finney;
                                                
                                                    // Keeps track of number of pregnant kitties.
                                                    uint256 public pregnantKitties;
                                                
                                                    /// @dev The address of the sibling contract that is used to implement the sooper-sekret
                                                    ///  genetic combination algorithm.
                                                    GeneScienceInterface public geneScience;
                                                
                                                    /// @dev Update the address of the genetic contract, can only be called by the CEO.
                                                    /// @param _address An address of a GeneScience contract instance to be used from this point forward.
                                                    function setGeneScienceAddress(address _address) external onlyCEO {
                                                        GeneScienceInterface candidateContract = GeneScienceInterface(_address);
                                                
                                                        // NOTE: verify that a contract is what we expect - https://github.com/Lunyr/crowdsale-contracts/blob/cfadd15986c30521d8ba7d5b6f57b4fefcc7ac38/contracts/LunyrToken.sol#L117
                                                        require(candidateContract.isGeneScience());
                                                
                                                        // Set the new contract address
                                                        geneScience = candidateContract;
                                                    }
                                                
                                                    /// @dev Checks that a given kitten is able to breed. Requires that the
                                                    ///  current cooldown is finished (for sires) and also checks that there is
                                                    ///  no pending pregnancy.
                                                    function _isReadyToBreed(Kitty _kit) internal view returns (bool) {
                                                        // In addition to checking the cooldownEndBlock, we also need to check to see if
                                                        // the cat has a pending birth; there can be some period of time between the end
                                                        // of the pregnacy timer and the birth event.
                                                        return (_kit.siringWithId == 0) && (_kit.cooldownEndBlock <= uint64(block.number));
                                                    }
                                                
                                                    /// @dev Check if a sire has authorized breeding with this matron. True if both sire
                                                    ///  and matron have the same owner, or if the sire has given siring permission to
                                                    ///  the matron's owner (via approveSiring()).
                                                    function _isSiringPermitted(uint256 _sireId, uint256 _matronId) internal view returns (bool) {
                                                        address matronOwner = kittyIndexToOwner[_matronId];
                                                        address sireOwner = kittyIndexToOwner[_sireId];
                                                
                                                        // Siring is okay if they have same owner, or if the matron's owner was given
                                                        // permission to breed with this sire.
                                                        return (matronOwner == sireOwner || sireAllowedToAddress[_sireId] == matronOwner);
                                                    }
                                                
                                                    /// @dev Set the cooldownEndTime for the given Kitty, based on its current cooldownIndex.
                                                    ///  Also increments the cooldownIndex (unless it has hit the cap).
                                                    /// @param _kitten A reference to the Kitty in storage which needs its timer started.
                                                    function _triggerCooldown(Kitty storage _kitten) internal {
                                                        // Compute an estimation of the cooldown time in blocks (based on current cooldownIndex).
                                                        _kitten.cooldownEndBlock = uint64((cooldowns[_kitten.cooldownIndex]/secondsPerBlock) + block.number);
                                                
                                                        // Increment the breeding count, clamping it at 13, which is the length of the
                                                        // cooldowns array. We could check the array size dynamically, but hard-coding
                                                        // this as a constant saves gas. Yay, Solidity!
                                                        if (_kitten.cooldownIndex < 13) {
                                                            _kitten.cooldownIndex += 1;
                                                        }
                                                    }
                                                
                                                    /// @notice Grants approval to another user to sire with one of your Kitties.
                                                    /// @param _addr The address that will be able to sire with your Kitty. Set to
                                                    ///  address(0) to clear all siring approvals for this Kitty.
                                                    /// @param _sireId A Kitty that you own that _addr will now be able to sire with.
                                                    function approveSiring(address _addr, uint256 _sireId)
                                                        external
                                                        whenNotPaused
                                                    {
                                                        require(_owns(msg.sender, _sireId));
                                                        sireAllowedToAddress[_sireId] = _addr;
                                                    }
                                                
                                                    /// @dev Updates the minimum payment required for calling giveBirthAuto(). Can only
                                                    ///  be called by the COO address. (This fee is used to offset the gas cost incurred
                                                    ///  by the autobirth daemon).
                                                    function setAutoBirthFee(uint256 val) external onlyCOO {
                                                        autoBirthFee = val;
                                                    }
                                                
                                                    /// @dev Checks to see if a given Kitty is pregnant and (if so) if the gestation
                                                    ///  period has passed.
                                                    function _isReadyToGiveBirth(Kitty _matron) private view returns (bool) {
                                                        return (_matron.siringWithId != 0) && (_matron.cooldownEndBlock <= uint64(block.number));
                                                    }
                                                
                                                    /// @notice Checks that a given kitten is able to breed (i.e. it is not pregnant or
                                                    ///  in the middle of a siring cooldown).
                                                    /// @param _kittyId reference the id of the kitten, any user can inquire about it
                                                    function isReadyToBreed(uint256 _kittyId)
                                                        public
                                                        view
                                                        returns (bool)
                                                    {
                                                        require(_kittyId > 0);
                                                        Kitty storage kit = kitties[_kittyId];
                                                        return _isReadyToBreed(kit);
                                                    }
                                                
                                                    /// @dev Checks whether a kitty is currently pregnant.
                                                    /// @param _kittyId reference the id of the kitten, any user can inquire about it
                                                    function isPregnant(uint256 _kittyId)
                                                        public
                                                        view
                                                        returns (bool)
                                                    {
                                                        require(_kittyId > 0);
                                                        // A kitty is pregnant if and only if this field is set
                                                        return kitties[_kittyId].siringWithId != 0;
                                                    }
                                                
                                                    /// @dev Internal check to see if a given sire and matron are a valid mating pair. DOES NOT
                                                    ///  check ownership permissions (that is up to the caller).
                                                    /// @param _matron A reference to the Kitty struct of the potential matron.
                                                    /// @param _matronId The matron's ID.
                                                    /// @param _sire A reference to the Kitty struct of the potential sire.
                                                    /// @param _sireId The sire's ID
                                                    function _isValidMatingPair(
                                                        Kitty storage _matron,
                                                        uint256 _matronId,
                                                        Kitty storage _sire,
                                                        uint256 _sireId
                                                    )
                                                        private
                                                        view
                                                        returns(bool)
                                                    {
                                                        // A Kitty can't breed with itself!
                                                        if (_matronId == _sireId) {
                                                            return false;
                                                        }
                                                
                                                        // Kitties can't breed with their parents.
                                                        if (_matron.matronId == _sireId || _matron.sireId == _sireId) {
                                                            return false;
                                                        }
                                                        if (_sire.matronId == _matronId || _sire.sireId == _matronId) {
                                                            return false;
                                                        }
                                                
                                                        // We can short circuit the sibling check (below) if either cat is
                                                        // gen zero (has a matron ID of zero).
                                                        if (_sire.matronId == 0 || _matron.matronId == 0) {
                                                            return true;
                                                        }
                                                
                                                        // Kitties can't breed with full or half siblings.
                                                        if (_sire.matronId == _matron.matronId || _sire.matronId == _matron.sireId) {
                                                            return false;
                                                        }
                                                        if (_sire.sireId == _matron.matronId || _sire.sireId == _matron.sireId) {
                                                            return false;
                                                        }
                                                
                                                        // Everything seems cool! Let's get DTF.
                                                        return true;
                                                    }
                                                
                                                    /// @dev Internal check to see if a given sire and matron are a valid mating pair for
                                                    ///  breeding via auction (i.e. skips ownership and siring approval checks).
                                                    function _canBreedWithViaAuction(uint256 _matronId, uint256 _sireId)
                                                        internal
                                                        view
                                                        returns (bool)
                                                    {
                                                        Kitty storage matron = kitties[_matronId];
                                                        Kitty storage sire = kitties[_sireId];
                                                        return _isValidMatingPair(matron, _matronId, sire, _sireId);
                                                    }
                                                
                                                    /// @notice Checks to see if two cats can breed together, including checks for
                                                    ///  ownership and siring approvals. Does NOT check that both cats are ready for
                                                    ///  breeding (i.e. breedWith could still fail until the cooldowns are finished).
                                                    ///  TODO: Shouldn't this check pregnancy and cooldowns?!?
                                                    /// @param _matronId The ID of the proposed matron.
                                                    /// @param _sireId The ID of the proposed sire.
                                                    function canBreedWith(uint256 _matronId, uint256 _sireId)
                                                        external
                                                        view
                                                        returns(bool)
                                                    {
                                                        require(_matronId > 0);
                                                        require(_sireId > 0);
                                                        Kitty storage matron = kitties[_matronId];
                                                        Kitty storage sire = kitties[_sireId];
                                                        return _isValidMatingPair(matron, _matronId, sire, _sireId) &&
                                                            _isSiringPermitted(_sireId, _matronId);
                                                    }
                                                
                                                    /// @dev Internal utility function to initiate breeding, assumes that all breeding
                                                    ///  requirements have been checked.
                                                    function _breedWith(uint256 _matronId, uint256 _sireId) internal {
                                                        // Grab a reference to the Kitties from storage.
                                                        Kitty storage sire = kitties[_sireId];
                                                        Kitty storage matron = kitties[_matronId];
                                                
                                                        // Mark the matron as pregnant, keeping track of who the sire is.
                                                        matron.siringWithId = uint32(_sireId);
                                                
                                                        // Trigger the cooldown for both parents.
                                                        _triggerCooldown(sire);
                                                        _triggerCooldown(matron);
                                                
                                                        // Clear siring permission for both parents. This may not be strictly necessary
                                                        // but it's likely to avoid confusion!
                                                        delete sireAllowedToAddress[_matronId];
                                                        delete sireAllowedToAddress[_sireId];
                                                
                                                        // Every time a kitty gets pregnant, counter is incremented.
                                                        pregnantKitties++;
                                                
                                                        // Emit the pregnancy event.
                                                        Pregnant(kittyIndexToOwner[_matronId], _matronId, _sireId, matron.cooldownEndBlock);
                                                    }
                                                
                                                    /// @notice Breed a Kitty you own (as matron) with a sire that you own, or for which you
                                                    ///  have previously been given Siring approval. Will either make your cat pregnant, or will
                                                    ///  fail entirely. Requires a pre-payment of the fee given out to the first caller of giveBirth()
                                                    /// @param _matronId The ID of the Kitty acting as matron (will end up pregnant if successful)
                                                    /// @param _sireId The ID of the Kitty acting as sire (will begin its siring cooldown if successful)
                                                    function breedWithAuto(uint256 _matronId, uint256 _sireId)
                                                        external
                                                        payable
                                                        whenNotPaused
                                                    {
                                                        // Checks for payment.
                                                        require(msg.value >= autoBirthFee);
                                                
                                                        // Caller must own the matron.
                                                        require(_owns(msg.sender, _matronId));
                                                
                                                        // Neither sire nor matron are allowed to be on auction during a normal
                                                        // breeding operation, but we don't need to check that explicitly.
                                                        // For matron: The caller of this function can't be the owner of the matron
                                                        //   because the owner of a Kitty on auction is the auction house, and the
                                                        //   auction house will never call breedWith().
                                                        // For sire: Similarly, a sire on auction will be owned by the auction house
                                                        //   and the act of transferring ownership will have cleared any oustanding
                                                        //   siring approval.
                                                        // Thus we don't need to spend gas explicitly checking to see if either cat
                                                        // is on auction.
                                                
                                                        // Check that matron and sire are both owned by caller, or that the sire
                                                        // has given siring permission to caller (i.e. matron's owner).
                                                        // Will fail for _sireId = 0
                                                        require(_isSiringPermitted(_sireId, _matronId));
                                                
                                                        // Grab a reference to the potential matron
                                                        Kitty storage matron = kitties[_matronId];
                                                
                                                        // Make sure matron isn't pregnant, or in the middle of a siring cooldown
                                                        require(_isReadyToBreed(matron));
                                                
                                                        // Grab a reference to the potential sire
                                                        Kitty storage sire = kitties[_sireId];
                                                
                                                        // Make sure sire isn't pregnant, or in the middle of a siring cooldown
                                                        require(_isReadyToBreed(sire));
                                                
                                                        // Test that these cats are a valid mating pair.
                                                        require(_isValidMatingPair(
                                                            matron,
                                                            _matronId,
                                                            sire,
                                                            _sireId
                                                        ));
                                                
                                                        // All checks passed, kitty gets pregnant!
                                                        _breedWith(_matronId, _sireId);
                                                    }
                                                
                                                    /// @notice Have a pregnant Kitty give birth!
                                                    /// @param _matronId A Kitty ready to give birth.
                                                    /// @return The Kitty ID of the new kitten.
                                                    /// @dev Looks at a given Kitty and, if pregnant and if the gestation period has passed,
                                                    ///  combines the genes of the two parents to create a new kitten. The new Kitty is assigned
                                                    ///  to the current owner of the matron. Upon successful completion, both the matron and the
                                                    ///  new kitten will be ready to breed again. Note that anyone can call this function (if they
                                                    ///  are willing to pay the gas!), but the new kitten always goes to the mother's owner.
                                                    function giveBirth(uint256 _matronId)
                                                        external
                                                        whenNotPaused
                                                        returns(uint256)
                                                    {
                                                        // Grab a reference to the matron in storage.
                                                        Kitty storage matron = kitties[_matronId];
                                                
                                                        // Check that the matron is a valid cat.
                                                        require(matron.birthTime != 0);
                                                
                                                        // Check that the matron is pregnant, and that its time has come!
                                                        require(_isReadyToGiveBirth(matron));
                                                
                                                        // Grab a reference to the sire in storage.
                                                        uint256 sireId = matron.siringWithId;
                                                        Kitty storage sire = kitties[sireId];
                                                
                                                        // Determine the higher generation number of the two parents
                                                        uint16 parentGen = matron.generation;
                                                        if (sire.generation > matron.generation) {
                                                            parentGen = sire.generation;
                                                        }
                                                
                                                        // Call the sooper-sekret gene mixing operation.
                                                        uint256 childGenes = geneScience.mixGenes(matron.genes, sire.genes, matron.cooldownEndBlock - 1);
                                                
                                                        // Make the new kitten!
                                                        address owner = kittyIndexToOwner[_matronId];
                                                        uint256 kittenId = _createKitty(_matronId, matron.siringWithId, parentGen + 1, childGenes, owner);
                                                
                                                        // Clear the reference to sire from the matron (REQUIRED! Having siringWithId
                                                        // set is what marks a matron as being pregnant.)
                                                        delete matron.siringWithId;
                                                
                                                        // Every time a kitty gives birth counter is decremented.
                                                        pregnantKitties--;
                                                
                                                        // Send the balance fee to the person who made birth happen.
                                                        msg.sender.send(autoBirthFee);
                                                
                                                        // return the new kitten's ID
                                                        return kittenId;
                                                    }
                                                }
                                                
                                                
                                                
                                                
                                                
                                                
                                                
                                                
                                                
                                                
                                                /// @title Auction Core
                                                /// @dev Contains models, variables, and internal methods for the auction.
                                                /// @notice We omit a fallback function to prevent accidental sends to this contract.
                                                contract ClockAuctionBase {
                                                
                                                    // Represents an auction on an NFT
                                                    struct Auction {
                                                        // Current owner of NFT
                                                        address seller;
                                                        // Price (in wei) at beginning of auction
                                                        uint128 startingPrice;
                                                        // Price (in wei) at end of auction
                                                        uint128 endingPrice;
                                                        // Duration (in seconds) of auction
                                                        uint64 duration;
                                                        // Time when auction started
                                                        // NOTE: 0 if this auction has been concluded
                                                        uint64 startedAt;
                                                    }
                                                
                                                    // Reference to contract tracking NFT ownership
                                                    ERC721 public nonFungibleContract;
                                                
                                                    // Cut owner takes on each auction, measured in basis points (1/100 of a percent).
                                                    // Values 0-10,000 map to 0%-100%
                                                    uint256 public ownerCut;
                                                
                                                    // Map from token ID to their corresponding auction.
                                                    mapping (uint256 => Auction) tokenIdToAuction;
                                                
                                                    event AuctionCreated(uint256 tokenId, uint256 startingPrice, uint256 endingPrice, uint256 duration);
                                                    event AuctionSuccessful(uint256 tokenId, uint256 totalPrice, address winner);
                                                    event AuctionCancelled(uint256 tokenId);
                                                
                                                    /// @dev Returns true if the claimant owns the token.
                                                    /// @param _claimant - Address claiming to own the token.
                                                    /// @param _tokenId - ID of token whose ownership to verify.
                                                    function _owns(address _claimant, uint256 _tokenId) internal view returns (bool) {
                                                        return (nonFungibleContract.ownerOf(_tokenId) == _claimant);
                                                    }
                                                
                                                    /// @dev Escrows the NFT, assigning ownership to this contract.
                                                    /// Throws if the escrow fails.
                                                    /// @param _owner - Current owner address of token to escrow.
                                                    /// @param _tokenId - ID of token whose approval to verify.
                                                    function _escrow(address _owner, uint256 _tokenId) internal {
                                                        // it will throw if transfer fails
                                                        nonFungibleContract.transferFrom(_owner, this, _tokenId);
                                                    }
                                                
                                                    /// @dev Transfers an NFT owned by this contract to another address.
                                                    /// Returns true if the transfer succeeds.
                                                    /// @param _receiver - Address to transfer NFT to.
                                                    /// @param _tokenId - ID of token to transfer.
                                                    function _transfer(address _receiver, uint256 _tokenId) internal {
                                                        // it will throw if transfer fails
                                                        nonFungibleContract.transfer(_receiver, _tokenId);
                                                    }
                                                
                                                    /// @dev Adds an auction to the list of open auctions. Also fires the
                                                    ///  AuctionCreated event.
                                                    /// @param _tokenId The ID of the token to be put on auction.
                                                    /// @param _auction Auction to add.
                                                    function _addAuction(uint256 _tokenId, Auction _auction) internal {
                                                        // Require that all auctions have a duration of
                                                        // at least one minute. (Keeps our math from getting hairy!)
                                                        require(_auction.duration >= 1 minutes);
                                                
                                                        tokenIdToAuction[_tokenId] = _auction;
                                                
                                                        AuctionCreated(
                                                            uint256(_tokenId),
                                                            uint256(_auction.startingPrice),
                                                            uint256(_auction.endingPrice),
                                                            uint256(_auction.duration)
                                                        );
                                                    }
                                                
                                                    /// @dev Cancels an auction unconditionally.
                                                    function _cancelAuction(uint256 _tokenId, address _seller) internal {
                                                        _removeAuction(_tokenId);
                                                        _transfer(_seller, _tokenId);
                                                        AuctionCancelled(_tokenId);
                                                    }
                                                
                                                    /// @dev Computes the price and transfers winnings.
                                                    /// Does NOT transfer ownership of token.
                                                    function _bid(uint256 _tokenId, uint256 _bidAmount)
                                                        internal
                                                        returns (uint256)
                                                    {
                                                        // Get a reference to the auction struct
                                                        Auction storage auction = tokenIdToAuction[_tokenId];
                                                
                                                        // Explicitly check that this auction is currently live.
                                                        // (Because of how Ethereum mappings work, we can't just count
                                                        // on the lookup above failing. An invalid _tokenId will just
                                                        // return an auction object that is all zeros.)
                                                        require(_isOnAuction(auction));
                                                
                                                        // Check that the bid is greater than or equal to the current price
                                                        uint256 price = _currentPrice(auction);
                                                        require(_bidAmount >= price);
                                                
                                                        // Grab a reference to the seller before the auction struct
                                                        // gets deleted.
                                                        address seller = auction.seller;
                                                
                                                        // The bid is good! Remove the auction before sending the fees
                                                        // to the sender so we can't have a reentrancy attack.
                                                        _removeAuction(_tokenId);
                                                
                                                        // Transfer proceeds to seller (if there are any!)
                                                        if (price > 0) {
                                                            // Calculate the auctioneer's cut.
                                                            // (NOTE: _computeCut() is guaranteed to return a
                                                            // value <= price, so this subtraction can't go negative.)
                                                            uint256 auctioneerCut = _computeCut(price);
                                                            uint256 sellerProceeds = price - auctioneerCut;
                                                
                                                            // NOTE: Doing a transfer() in the middle of a complex
                                                            // method like this is generally discouraged because of
                                                            // reentrancy attacks and DoS attacks if the seller is
                                                            // a contract with an invalid fallback function. We explicitly
                                                            // guard against reentrancy attacks by removing the auction
                                                            // before calling transfer(), and the only thing the seller
                                                            // can DoS is the sale of their own asset! (And if it's an
                                                            // accident, they can call cancelAuction(). )
                                                            seller.transfer(sellerProceeds);
                                                        }
                                                
                                                        // Calculate any excess funds included with the bid. If the excess
                                                        // is anything worth worrying about, transfer it back to bidder.
                                                        // NOTE: We checked above that the bid amount is greater than or
                                                        // equal to the price so this cannot underflow.
                                                        uint256 bidExcess = _bidAmount - price;
                                                
                                                        // Return the funds. Similar to the previous transfer, this is
                                                        // not susceptible to a re-entry attack because the auction is
                                                        // removed before any transfers occur.
                                                        msg.sender.transfer(bidExcess);
                                                
                                                        // Tell the world!
                                                        AuctionSuccessful(_tokenId, price, msg.sender);
                                                
                                                        return price;
                                                    }
                                                
                                                    /// @dev Removes an auction from the list of open auctions.
                                                    /// @param _tokenId - ID of NFT on auction.
                                                    function _removeAuction(uint256 _tokenId) internal {
                                                        delete tokenIdToAuction[_tokenId];
                                                    }
                                                
                                                    /// @dev Returns true if the NFT is on auction.
                                                    /// @param _auction - Auction to check.
                                                    function _isOnAuction(Auction storage _auction) internal view returns (bool) {
                                                        return (_auction.startedAt > 0);
                                                    }
                                                
                                                    /// @dev Returns current price of an NFT on auction. Broken into two
                                                    ///  functions (this one, that computes the duration from the auction
                                                    ///  structure, and the other that does the price computation) so we
                                                    ///  can easily test that the price computation works correctly.
                                                    function _currentPrice(Auction storage _auction)
                                                        internal
                                                        view
                                                        returns (uint256)
                                                    {
                                                        uint256 secondsPassed = 0;
                                                
                                                        // A bit of insurance against negative values (or wraparound).
                                                        // Probably not necessary (since Ethereum guarnatees that the
                                                        // now variable doesn't ever go backwards).
                                                        if (now > _auction.startedAt) {
                                                            secondsPassed = now - _auction.startedAt;
                                                        }
                                                
                                                        return _computeCurrentPrice(
                                                            _auction.startingPrice,
                                                            _auction.endingPrice,
                                                            _auction.duration,
                                                            secondsPassed
                                                        );
                                                    }
                                                
                                                    /// @dev Computes the current price of an auction. Factored out
                                                    ///  from _currentPrice so we can run extensive unit tests.
                                                    ///  When testing, make this function public and turn on
                                                    ///  `Current price computation` test suite.
                                                    function _computeCurrentPrice(
                                                        uint256 _startingPrice,
                                                        uint256 _endingPrice,
                                                        uint256 _duration,
                                                        uint256 _secondsPassed
                                                    )
                                                        internal
                                                        pure
                                                        returns (uint256)
                                                    {
                                                        // NOTE: We don't use SafeMath (or similar) in this function because
                                                        //  all of our public functions carefully cap the maximum values for
                                                        //  time (at 64-bits) and currency (at 128-bits). _duration is
                                                        //  also known to be non-zero (see the require() statement in
                                                        //  _addAuction())
                                                        if (_secondsPassed >= _duration) {
                                                            // We've reached the end of the dynamic pricing portion
                                                            // of the auction, just return the end price.
                                                            return _endingPrice;
                                                        } else {
                                                            // Starting price can be higher than ending price (and often is!), so
                                                            // this delta can be negative.
                                                            int256 totalPriceChange = int256(_endingPrice) - int256(_startingPrice);
                                                
                                                            // This multiplication can't overflow, _secondsPassed will easily fit within
                                                            // 64-bits, and totalPriceChange will easily fit within 128-bits, their product
                                                            // will always fit within 256-bits.
                                                            int256 currentPriceChange = totalPriceChange * int256(_secondsPassed) / int256(_duration);
                                                
                                                            // currentPriceChange can be negative, but if so, will have a magnitude
                                                            // less that _startingPrice. Thus, this result will always end up positive.
                                                            int256 currentPrice = int256(_startingPrice) + currentPriceChange;
                                                
                                                            return uint256(currentPrice);
                                                        }
                                                    }
                                                
                                                    /// @dev Computes owner's cut of a sale.
                                                    /// @param _price - Sale price of NFT.
                                                    function _computeCut(uint256 _price) internal view returns (uint256) {
                                                        // NOTE: We don't use SafeMath (or similar) in this function because
                                                        //  all of our entry functions carefully cap the maximum values for
                                                        //  currency (at 128-bits), and ownerCut <= 10000 (see the require()
                                                        //  statement in the ClockAuction constructor). The result of this
                                                        //  function is always guaranteed to be <= _price.
                                                        return _price * ownerCut / 10000;
                                                    }
                                                
                                                }
                                                
                                                
                                                
                                                
                                                
                                                
                                                
                                                /**
                                                 * @title Pausable
                                                 * @dev Base contract which allows children to implement an emergency stop mechanism.
                                                 */
                                                contract Pausable is Ownable {
                                                  event Pause();
                                                  event Unpause();
                                                
                                                  bool public paused = false;
                                                
                                                
                                                  /**
                                                   * @dev modifier to allow actions only when the contract IS paused
                                                   */
                                                  modifier whenNotPaused() {
                                                    require(!paused);
                                                    _;
                                                  }
                                                
                                                  /**
                                                   * @dev modifier to allow actions only when the contract IS NOT paused
                                                   */
                                                  modifier whenPaused {
                                                    require(paused);
                                                    _;
                                                  }
                                                
                                                  /**
                                                   * @dev called by the owner to pause, triggers stopped state
                                                   */
                                                  function pause() onlyOwner whenNotPaused returns (bool) {
                                                    paused = true;
                                                    Pause();
                                                    return true;
                                                  }
                                                
                                                  /**
                                                   * @dev called by the owner to unpause, returns to normal state
                                                   */
                                                  function unpause() onlyOwner whenPaused returns (bool) {
                                                    paused = false;
                                                    Unpause();
                                                    return true;
                                                  }
                                                }
                                                
                                                
                                                /// @title Clock auction for non-fungible tokens.
                                                /// @notice We omit a fallback function to prevent accidental sends to this contract.
                                                contract ClockAuction is Pausable, ClockAuctionBase {
                                                
                                                    /// @dev The ERC-165 interface signature for ERC-721.
                                                    ///  Ref: https://github.com/ethereum/EIPs/issues/165
                                                    ///  Ref: https://github.com/ethereum/EIPs/issues/721
                                                    bytes4 constant InterfaceSignature_ERC721 = bytes4(0x9a20483d);
                                                
                                                    /// @dev Constructor creates a reference to the NFT ownership contract
                                                    ///  and verifies the owner cut is in the valid range.
                                                    /// @param _nftAddress - address of a deployed contract implementing
                                                    ///  the Nonfungible Interface.
                                                    /// @param _cut - percent cut the owner takes on each auction, must be
                                                    ///  between 0-10,000.
                                                    function ClockAuction(address _nftAddress, uint256 _cut) public {
                                                        require(_cut <= 10000);
                                                        ownerCut = _cut;
                                                
                                                        ERC721 candidateContract = ERC721(_nftAddress);
                                                        require(candidateContract.supportsInterface(InterfaceSignature_ERC721));
                                                        nonFungibleContract = candidateContract;
                                                    }
                                                
                                                    /// @dev Remove all Ether from the contract, which is the owner's cuts
                                                    ///  as well as any Ether sent directly to the contract address.
                                                    ///  Always transfers to the NFT contract, but can be called either by
                                                    ///  the owner or the NFT contract.
                                                    function withdrawBalance() external {
                                                        address nftAddress = address(nonFungibleContract);
                                                
                                                        require(
                                                            msg.sender == owner ||
                                                            msg.sender == nftAddress
                                                        );
                                                        // We are using this boolean method to make sure that even if one fails it will still work
                                                        bool res = nftAddress.send(this.balance);
                                                    }
                                                
                                                    /// @dev Creates and begins a new auction.
                                                    /// @param _tokenId - ID of token to auction, sender must be owner.
                                                    /// @param _startingPrice - Price of item (in wei) at beginning of auction.
                                                    /// @param _endingPrice - Price of item (in wei) at end of auction.
                                                    /// @param _duration - Length of time to move between starting
                                                    ///  price and ending price (in seconds).
                                                    /// @param _seller - Seller, if not the message sender
                                                    function createAuction(
                                                        uint256 _tokenId,
                                                        uint256 _startingPrice,
                                                        uint256 _endingPrice,
                                                        uint256 _duration,
                                                        address _seller
                                                    )
                                                        external
                                                        whenNotPaused
                                                    {
                                                        // Sanity check that no inputs overflow how many bits we've allocated
                                                        // to store them in the auction struct.
                                                        require(_startingPrice == uint256(uint128(_startingPrice)));
                                                        require(_endingPrice == uint256(uint128(_endingPrice)));
                                                        require(_duration == uint256(uint64(_duration)));
                                                
                                                        require(_owns(msg.sender, _tokenId));
                                                        _escrow(msg.sender, _tokenId);
                                                        Auction memory auction = Auction(
                                                            _seller,
                                                            uint128(_startingPrice),
                                                            uint128(_endingPrice),
                                                            uint64(_duration),
                                                            uint64(now)
                                                        );
                                                        _addAuction(_tokenId, auction);
                                                    }
                                                
                                                    /// @dev Bids on an open auction, completing the auction and transferring
                                                    ///  ownership of the NFT if enough Ether is supplied.
                                                    /// @param _tokenId - ID of token to bid on.
                                                    function bid(uint256 _tokenId)
                                                        external
                                                        payable
                                                        whenNotPaused
                                                    {
                                                        // _bid will throw if the bid or funds transfer fails
                                                        _bid(_tokenId, msg.value);
                                                        _transfer(msg.sender, _tokenId);
                                                    }
                                                
                                                    /// @dev Cancels an auction that hasn't been won yet.
                                                    ///  Returns the NFT to original owner.
                                                    /// @notice This is a state-modifying function that can
                                                    ///  be called while the contract is paused.
                                                    /// @param _tokenId - ID of token on auction
                                                    function cancelAuction(uint256 _tokenId)
                                                        external
                                                    {
                                                        Auction storage auction = tokenIdToAuction[_tokenId];
                                                        require(_isOnAuction(auction));
                                                        address seller = auction.seller;
                                                        require(msg.sender == seller);
                                                        _cancelAuction(_tokenId, seller);
                                                    }
                                                
                                                    /// @dev Cancels an auction when the contract is paused.
                                                    ///  Only the owner may do this, and NFTs are returned to
                                                    ///  the seller. This should only be used in emergencies.
                                                    /// @param _tokenId - ID of the NFT on auction to cancel.
                                                    function cancelAuctionWhenPaused(uint256 _tokenId)
                                                        whenPaused
                                                        onlyOwner
                                                        external
                                                    {
                                                        Auction storage auction = tokenIdToAuction[_tokenId];
                                                        require(_isOnAuction(auction));
                                                        _cancelAuction(_tokenId, auction.seller);
                                                    }
                                                
                                                    /// @dev Returns auction info for an NFT on auction.
                                                    /// @param _tokenId - ID of NFT on auction.
                                                    function getAuction(uint256 _tokenId)
                                                        external
                                                        view
                                                        returns
                                                    (
                                                        address seller,
                                                        uint256 startingPrice,
                                                        uint256 endingPrice,
                                                        uint256 duration,
                                                        uint256 startedAt
                                                    ) {
                                                        Auction storage auction = tokenIdToAuction[_tokenId];
                                                        require(_isOnAuction(auction));
                                                        return (
                                                            auction.seller,
                                                            auction.startingPrice,
                                                            auction.endingPrice,
                                                            auction.duration,
                                                            auction.startedAt
                                                        );
                                                    }
                                                
                                                    /// @dev Returns the current price of an auction.
                                                    /// @param _tokenId - ID of the token price we are checking.
                                                    function getCurrentPrice(uint256 _tokenId)
                                                        external
                                                        view
                                                        returns (uint256)
                                                    {
                                                        Auction storage auction = tokenIdToAuction[_tokenId];
                                                        require(_isOnAuction(auction));
                                                        return _currentPrice(auction);
                                                    }
                                                
                                                }
                                                
                                                
                                                /// @title Reverse auction modified for siring
                                                /// @notice We omit a fallback function to prevent accidental sends to this contract.
                                                contract SiringClockAuction is ClockAuction {
                                                
                                                    // @dev Sanity check that allows us to ensure that we are pointing to the
                                                    //  right auction in our setSiringAuctionAddress() call.
                                                    bool public isSiringClockAuction = true;
                                                
                                                    // Delegate constructor
                                                    function SiringClockAuction(address _nftAddr, uint256 _cut) public
                                                        ClockAuction(_nftAddr, _cut) {}
                                                
                                                    /// @dev Creates and begins a new auction. Since this function is wrapped,
                                                    /// require sender to be KittyCore contract.
                                                    /// @param _tokenId - ID of token to auction, sender must be owner.
                                                    /// @param _startingPrice - Price of item (in wei) at beginning of auction.
                                                    /// @param _endingPrice - Price of item (in wei) at end of auction.
                                                    /// @param _duration - Length of auction (in seconds).
                                                    /// @param _seller - Seller, if not the message sender
                                                    function createAuction(
                                                        uint256 _tokenId,
                                                        uint256 _startingPrice,
                                                        uint256 _endingPrice,
                                                        uint256 _duration,
                                                        address _seller
                                                    )
                                                        external
                                                    {
                                                        // Sanity check that no inputs overflow how many bits we've allocated
                                                        // to store them in the auction struct.
                                                        require(_startingPrice == uint256(uint128(_startingPrice)));
                                                        require(_endingPrice == uint256(uint128(_endingPrice)));
                                                        require(_duration == uint256(uint64(_duration)));
                                                
                                                        require(msg.sender == address(nonFungibleContract));
                                                        _escrow(_seller, _tokenId);
                                                        Auction memory auction = Auction(
                                                            _seller,
                                                            uint128(_startingPrice),
                                                            uint128(_endingPrice),
                                                            uint64(_duration),
                                                            uint64(now)
                                                        );
                                                        _addAuction(_tokenId, auction);
                                                    }
                                                
                                                    /// @dev Places a bid for siring. Requires the sender
                                                    /// is the KittyCore contract because all bid methods
                                                    /// should be wrapped. Also returns the kitty to the
                                                    /// seller rather than the winner.
                                                    function bid(uint256 _tokenId)
                                                        external
                                                        payable
                                                    {
                                                        require(msg.sender == address(nonFungibleContract));
                                                        address seller = tokenIdToAuction[_tokenId].seller;
                                                        // _bid checks that token ID is valid and will throw if bid fails
                                                        _bid(_tokenId, msg.value);
                                                        // We transfer the kitty back to the seller, the winner will get
                                                        // the offspring
                                                        _transfer(seller, _tokenId);
                                                    }
                                                
                                                }
                                                
                                                
                                                
                                                
                                                
                                                /// @title Clock auction modified for sale of kitties
                                                /// @notice We omit a fallback function to prevent accidental sends to this contract.
                                                contract SaleClockAuction is ClockAuction {
                                                
                                                    // @dev Sanity check that allows us to ensure that we are pointing to the
                                                    //  right auction in our setSaleAuctionAddress() call.
                                                    bool public isSaleClockAuction = true;
                                                
                                                    // Tracks last 5 sale price of gen0 kitty sales
                                                    uint256 public gen0SaleCount;
                                                    uint256[5] public lastGen0SalePrices;
                                                
                                                    // Delegate constructor
                                                    function SaleClockAuction(address _nftAddr, uint256 _cut) public
                                                        ClockAuction(_nftAddr, _cut) {}
                                                
                                                    /// @dev Creates and begins a new auction.
                                                    /// @param _tokenId - ID of token to auction, sender must be owner.
                                                    /// @param _startingPrice - Price of item (in wei) at beginning of auction.
                                                    /// @param _endingPrice - Price of item (in wei) at end of auction.
                                                    /// @param _duration - Length of auction (in seconds).
                                                    /// @param _seller - Seller, if not the message sender
                                                    function createAuction(
                                                        uint256 _tokenId,
                                                        uint256 _startingPrice,
                                                        uint256 _endingPrice,
                                                        uint256 _duration,
                                                        address _seller
                                                    )
                                                        external
                                                    {
                                                        // Sanity check that no inputs overflow how many bits we've allocated
                                                        // to store them in the auction struct.
                                                        require(_startingPrice == uint256(uint128(_startingPrice)));
                                                        require(_endingPrice == uint256(uint128(_endingPrice)));
                                                        require(_duration == uint256(uint64(_duration)));
                                                
                                                        require(msg.sender == address(nonFungibleContract));
                                                        _escrow(_seller, _tokenId);
                                                        Auction memory auction = Auction(
                                                            _seller,
                                                            uint128(_startingPrice),
                                                            uint128(_endingPrice),
                                                            uint64(_duration),
                                                            uint64(now)
                                                        );
                                                        _addAuction(_tokenId, auction);
                                                    }
                                                
                                                    /// @dev Updates lastSalePrice if seller is the nft contract
                                                    /// Otherwise, works the same as default bid method.
                                                    function bid(uint256 _tokenId)
                                                        external
                                                        payable
                                                    {
                                                        // _bid verifies token ID size
                                                        address seller = tokenIdToAuction[_tokenId].seller;
                                                        uint256 price = _bid(_tokenId, msg.value);
                                                        _transfer(msg.sender, _tokenId);
                                                
                                                        // If not a gen0 auction, exit
                                                        if (seller == address(nonFungibleContract)) {
                                                            // Track gen0 sale prices
                                                            lastGen0SalePrices[gen0SaleCount % 5] = price;
                                                            gen0SaleCount++;
                                                        }
                                                    }
                                                
                                                    function averageGen0SalePrice() external view returns (uint256) {
                                                        uint256 sum = 0;
                                                        for (uint256 i = 0; i < 5; i++) {
                                                            sum += lastGen0SalePrices[i];
                                                        }
                                                        return sum / 5;
                                                    }
                                                
                                                }
                                                
                                                
                                                /// @title Handles creating auctions for sale and siring of kitties.
                                                ///  This wrapper of ReverseAuction exists only so that users can create
                                                ///  auctions with only one transaction.
                                                contract KittyAuction is KittyBreeding {
                                                
                                                    // @notice The auction contract variables are defined in KittyBase to allow
                                                    //  us to refer to them in KittyOwnership to prevent accidental transfers.
                                                    // `saleAuction` refers to the auction for gen0 and p2p sale of kitties.
                                                    // `siringAuction` refers to the auction for siring rights of kitties.
                                                
                                                    /// @dev Sets the reference to the sale auction.
                                                    /// @param _address - Address of sale contract.
                                                    function setSaleAuctionAddress(address _address) external onlyCEO {
                                                        SaleClockAuction candidateContract = SaleClockAuction(_address);
                                                
                                                        // NOTE: verify that a contract is what we expect - https://github.com/Lunyr/crowdsale-contracts/blob/cfadd15986c30521d8ba7d5b6f57b4fefcc7ac38/contracts/LunyrToken.sol#L117
                                                        require(candidateContract.isSaleClockAuction());
                                                
                                                        // Set the new contract address
                                                        saleAuction = candidateContract;
                                                    }
                                                
                                                    /// @dev Sets the reference to the siring auction.
                                                    /// @param _address - Address of siring contract.
                                                    function setSiringAuctionAddress(address _address) external onlyCEO {
                                                        SiringClockAuction candidateContract = SiringClockAuction(_address);
                                                
                                                        // NOTE: verify that a contract is what we expect - https://github.com/Lunyr/crowdsale-contracts/blob/cfadd15986c30521d8ba7d5b6f57b4fefcc7ac38/contracts/LunyrToken.sol#L117
                                                        require(candidateContract.isSiringClockAuction());
                                                
                                                        // Set the new contract address
                                                        siringAuction = candidateContract;
                                                    }
                                                
                                                    /// @dev Put a kitty up for auction.
                                                    ///  Does some ownership trickery to create auctions in one tx.
                                                    function createSaleAuction(
                                                        uint256 _kittyId,
                                                        uint256 _startingPrice,
                                                        uint256 _endingPrice,
                                                        uint256 _duration
                                                    )
                                                        external
                                                        whenNotPaused
                                                    {
                                                        // Auction contract checks input sizes
                                                        // If kitty is already on any auction, this will throw
                                                        // because it will be owned by the auction contract.
                                                        require(_owns(msg.sender, _kittyId));
                                                        // Ensure the kitty is not pregnant to prevent the auction
                                                        // contract accidentally receiving ownership of the child.
                                                        // NOTE: the kitty IS allowed to be in a cooldown.
                                                        require(!isPregnant(_kittyId));
                                                        _approve(_kittyId, saleAuction);
                                                        // Sale auction throws if inputs are invalid and clears
                                                        // transfer and sire approval after escrowing the kitty.
                                                        saleAuction.createAuction(
                                                            _kittyId,
                                                            _startingPrice,
                                                            _endingPrice,
                                                            _duration,
                                                            msg.sender
                                                        );
                                                    }
                                                
                                                    /// @dev Put a kitty up for auction to be sire.
                                                    ///  Performs checks to ensure the kitty can be sired, then
                                                    ///  delegates to reverse auction.
                                                    function createSiringAuction(
                                                        uint256 _kittyId,
                                                        uint256 _startingPrice,
                                                        uint256 _endingPrice,
                                                        uint256 _duration
                                                    )
                                                        external
                                                        whenNotPaused
                                                    {
                                                        // Auction contract checks input sizes
                                                        // If kitty is already on any auction, this will throw
                                                        // because it will be owned by the auction contract.
                                                        require(_owns(msg.sender, _kittyId));
                                                        require(isReadyToBreed(_kittyId));
                                                        _approve(_kittyId, siringAuction);
                                                        // Siring auction throws if inputs are invalid and clears
                                                        // transfer and sire approval after escrowing the kitty.
                                                        siringAuction.createAuction(
                                                            _kittyId,
                                                            _startingPrice,
                                                            _endingPrice,
                                                            _duration,
                                                            msg.sender
                                                        );
                                                    }
                                                
                                                    /// @dev Completes a siring auction by bidding.
                                                    ///  Immediately breeds the winning matron with the sire on auction.
                                                    /// @param _sireId - ID of the sire on auction.
                                                    /// @param _matronId - ID of the matron owned by the bidder.
                                                    function bidOnSiringAuction(
                                                        uint256 _sireId,
                                                        uint256 _matronId
                                                    )
                                                        external
                                                        payable
                                                        whenNotPaused
                                                    {
                                                        // Auction contract checks input sizes
                                                        require(_owns(msg.sender, _matronId));
                                                        require(isReadyToBreed(_matronId));
                                                        require(_canBreedWithViaAuction(_matronId, _sireId));
                                                
                                                        // Define the current price of the auction.
                                                        uint256 currentPrice = siringAuction.getCurrentPrice(_sireId);
                                                        require(msg.value >= currentPrice + autoBirthFee);
                                                
                                                        // Siring auction will throw if the bid fails.
                                                        siringAuction.bid.value(msg.value - autoBirthFee)(_sireId);
                                                        _breedWith(uint32(_matronId), uint32(_sireId));
                                                    }
                                                
                                                    /// @dev Transfers the balance of the sale auction contract
                                                    /// to the KittyCore contract. We use two-step withdrawal to
                                                    /// prevent two transfer calls in the auction bid function.
                                                    function withdrawAuctionBalances() external onlyCLevel {
                                                        saleAuction.withdrawBalance();
                                                        siringAuction.withdrawBalance();
                                                    }
                                                }
                                                
                                                
                                                /// @title all functions related to creating kittens
                                                contract KittyMinting is KittyAuction {
                                                
                                                    // Limits the number of cats the contract owner can ever create.
                                                    uint256 public constant PROMO_CREATION_LIMIT = 5000;
                                                    uint256 public constant GEN0_CREATION_LIMIT = 45000;
                                                
                                                    // Constants for gen0 auctions.
                                                    uint256 public constant GEN0_STARTING_PRICE = 10 finney;
                                                    uint256 public constant GEN0_AUCTION_DURATION = 1 days;
                                                
                                                    // Counts the number of cats the contract owner has created.
                                                    uint256 public promoCreatedCount;
                                                    uint256 public gen0CreatedCount;
                                                
                                                    /// @dev we can create promo kittens, up to a limit. Only callable by COO
                                                    /// @param _genes the encoded genes of the kitten to be created, any value is accepted
                                                    /// @param _owner the future owner of the created kittens. Default to contract COO
                                                    function createPromoKitty(uint256 _genes, address _owner) external onlyCOO {
                                                        address kittyOwner = _owner;
                                                        if (kittyOwner == address(0)) {
                                                             kittyOwner = cooAddress;
                                                        }
                                                        require(promoCreatedCount < PROMO_CREATION_LIMIT);
                                                
                                                        promoCreatedCount++;
                                                        _createKitty(0, 0, 0, _genes, kittyOwner);
                                                    }
                                                
                                                    /// @dev Creates a new gen0 kitty with the given genes and
                                                    ///  creates an auction for it.
                                                    function createGen0Auction(uint256 _genes) external onlyCOO {
                                                        require(gen0CreatedCount < GEN0_CREATION_LIMIT);
                                                
                                                        uint256 kittyId = _createKitty(0, 0, 0, _genes, address(this));
                                                        _approve(kittyId, saleAuction);
                                                
                                                        saleAuction.createAuction(
                                                            kittyId,
                                                            _computeNextGen0Price(),
                                                            0,
                                                            GEN0_AUCTION_DURATION,
                                                            address(this)
                                                        );
                                                
                                                        gen0CreatedCount++;
                                                    }
                                                
                                                    /// @dev Computes the next gen0 auction starting price, given
                                                    ///  the average of the past 5 prices + 50%.
                                                    function _computeNextGen0Price() internal view returns (uint256) {
                                                        uint256 avePrice = saleAuction.averageGen0SalePrice();
                                                
                                                        // Sanity check to ensure we don't overflow arithmetic
                                                        require(avePrice == uint256(uint128(avePrice)));
                                                
                                                        uint256 nextPrice = avePrice + (avePrice / 2);
                                                
                                                        // We never auction for less than starting price
                                                        if (nextPrice < GEN0_STARTING_PRICE) {
                                                            nextPrice = GEN0_STARTING_PRICE;
                                                        }
                                                
                                                        return nextPrice;
                                                    }
                                                }
                                                
                                                
                                                /// @title CryptoKitties: Collectible, breedable, and oh-so-adorable cats on the Ethereum blockchain.
                                                /// @author Axiom Zen (https://www.axiomzen.co)
                                                /// @dev The main CryptoKitties contract, keeps track of kittens so they don't wander around and get lost.
                                                contract KittyCore is KittyMinting {
                                                
                                                    // This is the main CryptoKitties contract. In order to keep our code seperated into logical sections,
                                                    // we've broken it up in two ways. First, we have several seperately-instantiated sibling contracts
                                                    // that handle auctions and our super-top-secret genetic combination algorithm. The auctions are
                                                    // seperate since their logic is somewhat complex and there's always a risk of subtle bugs. By keeping
                                                    // them in their own contracts, we can upgrade them without disrupting the main contract that tracks
                                                    // kitty ownership. The genetic combination algorithm is kept seperate so we can open-source all of
                                                    // the rest of our code without making it _too_ easy for folks to figure out how the genetics work.
                                                    // Don't worry, I'm sure someone will reverse engineer it soon enough!
                                                    //
                                                    // Secondly, we break the core contract into multiple files using inheritence, one for each major
                                                    // facet of functionality of CK. This allows us to keep related code bundled together while still
                                                    // avoiding a single giant file with everything in it. The breakdown is as follows:
                                                    //
                                                    //      - KittyBase: This is where we define the most fundamental code shared throughout the core
                                                    //             functionality. This includes our main data storage, constants and data types, plus
                                                    //             internal functions for managing these items.
                                                    //
                                                    //      - KittyAccessControl: This contract manages the various addresses and constraints for operations
                                                    //             that can be executed only by specific roles. Namely CEO, CFO and COO.
                                                    //
                                                    //      - KittyOwnership: This provides the methods required for basic non-fungible token
                                                    //             transactions, following the draft ERC-721 spec (https://github.com/ethereum/EIPs/issues/721).
                                                    //
                                                    //      - KittyBreeding: This file contains the methods necessary to breed cats together, including
                                                    //             keeping track of siring offers, and relies on an external genetic combination contract.
                                                    //
                                                    //      - KittyAuctions: Here we have the public methods for auctioning or bidding on cats or siring
                                                    //             services. The actual auction functionality is handled in two sibling contracts (one
                                                    //             for sales and one for siring), while auction creation and bidding is mostly mediated
                                                    //             through this facet of the core contract.
                                                    //
                                                    //      - KittyMinting: This final facet contains the functionality we use for creating new gen0 cats.
                                                    //             We can make up to 5000 "promo" cats that can be given away (especially important when
                                                    //             the community is new), and all others can only be created and then immediately put up
                                                    //             for auction via an algorithmically determined starting price. Regardless of how they
                                                    //             are created, there is a hard limit of 50k gen0 cats. After that, it's all up to the
                                                    //             community to breed, breed, breed!
                                                
                                                    // Set in case the core contract is broken and an upgrade is required
                                                    address public newContractAddress;
                                                
                                                    /// @notice Creates the main CryptoKitties smart contract instance.
                                                    function KittyCore() public {
                                                        // Starts paused.
                                                        paused = true;
                                                
                                                        // the creator of the contract is the initial CEO
                                                        ceoAddress = msg.sender;
                                                
                                                        // the creator of the contract is also the initial COO
                                                        cooAddress = msg.sender;
                                                
                                                        // start with the mythical kitten 0 - so we don't have generation-0 parent issues
                                                        _createKitty(0, 0, 0, uint256(-1), address(0));
                                                    }
                                                
                                                    /// @dev Used to mark the smart contract as upgraded, in case there is a serious
                                                    ///  breaking bug. This method does nothing but keep track of the new contract and
                                                    ///  emit a message indicating that the new address is set. It's up to clients of this
                                                    ///  contract to update to the new contract address in that case. (This contract will
                                                    ///  be paused indefinitely if such an upgrade takes place.)
                                                    /// @param _v2Address new address
                                                    function setNewAddress(address _v2Address) external onlyCEO whenPaused {
                                                        // See README.md for updgrade plan
                                                        newContractAddress = _v2Address;
                                                        ContractUpgrade(_v2Address);
                                                    }
                                                
                                                    /// @notice No tipping!
                                                    /// @dev Reject all Ether from being sent here, unless it's from one of the
                                                    ///  two auction contracts. (Hopefully, we can prevent user accidents.)
                                                    function() external payable {
                                                        require(
                                                            msg.sender == address(saleAuction) ||
                                                            msg.sender == address(siringAuction)
                                                        );
                                                    }
                                                
                                                    /// @notice Returns all the relevant information about a specific kitty.
                                                    /// @param _id The ID of the kitty of interest.
                                                    function getKitty(uint256 _id)
                                                        external
                                                        view
                                                        returns (
                                                        bool isGestating,
                                                        bool isReady,
                                                        uint256 cooldownIndex,
                                                        uint256 nextActionAt,
                                                        uint256 siringWithId,
                                                        uint256 birthTime,
                                                        uint256 matronId,
                                                        uint256 sireId,
                                                        uint256 generation,
                                                        uint256 genes
                                                    ) {
                                                        Kitty storage kit = kitties[_id];
                                                
                                                        // if this variable is 0 then it's not gestating
                                                        isGestating = (kit.siringWithId != 0);
                                                        isReady = (kit.cooldownEndBlock <= block.number);
                                                        cooldownIndex = uint256(kit.cooldownIndex);
                                                        nextActionAt = uint256(kit.cooldownEndBlock);
                                                        siringWithId = uint256(kit.siringWithId);
                                                        birthTime = uint256(kit.birthTime);
                                                        matronId = uint256(kit.matronId);
                                                        sireId = uint256(kit.sireId);
                                                        generation = uint256(kit.generation);
                                                        genes = kit.genes;
                                                    }
                                                
                                                    /// @dev Override unpause so it requires all external contract addresses
                                                    ///  to be set before contract can be unpaused. Also, we can't have
                                                    ///  newContractAddress set either, because then the contract was upgraded.
                                                    /// @notice This is public rather than external so we can call super.unpause
                                                    ///  without using an expensive CALL.
                                                    function unpause() public onlyCEO whenPaused {
                                                        require(saleAuction != address(0));
                                                        require(siringAuction != address(0));
                                                        require(geneScience != address(0));
                                                        require(newContractAddress == address(0));
                                                
                                                        // Actually unpause the contract.
                                                        super.unpause();
                                                    }
                                                
                                                    // @dev Allows the CFO to capture the balance available to the contract.
                                                    function withdrawBalance() external onlyCFO {
                                                        uint256 balance = this.balance;
                                                        // Subtract all the currently pregnant kittens we have, plus 1 of margin.
                                                        uint256 subtractFees = (pregnantKitties + 1) * autoBirthFee;
                                                
                                                        if (balance > subtractFees) {
                                                            cfoAddress.send(balance - subtractFees);
                                                        }
                                                    }
                                                }

                                                File 2 of 2: GeneScience
                                                pragma solidity ^0.4.18;
                                                
                                                
                                                
                                                /// @title GeneScience implements the trait calculation for new kitties
                                                /// @author Axiom Zen, Dieter Shirley <[email protected]> (https://github.com/dete), Fabiano P. Soriani <[email protected]> (https://github.com/flockonus), Jordan Schalm <[email protected]> (https://github.com/jordanschalm)
                                                contract GeneScience {
                                                    bool public isGeneScience = true;
                                                
                                                    uint256 internal constant maskLast8Bits = uint256(0xff);
                                                    uint256 internal constant maskFirst248Bits = uint256(~0xff);
                                                
                                                    function GeneScience() public {}
                                                
                                                    /// @dev given a characteristic and 2 genes (unsorted) - returns > 0 if the genes ascended, that's the value
                                                    /// @param trait1 any trait of that characteristic
                                                    /// @param trait2 any trait of that characteristic
                                                    /// @param rand is expected to be a 3 bits number (0~7)
                                                    /// @return -1 if didnt match any ascention, OR a number from 0 to 30 for the ascended trait
                                                    function _ascend(uint8 trait1, uint8 trait2, uint256 rand) internal pure returns(uint8 ascension) {
                                                        ascension = 0;
                                                
                                                        uint8 smallT = trait1;
                                                        uint8 bigT = trait2;
                                                
                                                        if (smallT > bigT) {
                                                            bigT = trait1;
                                                            smallT = trait2;
                                                        }
                                                
                                                        // https://github.com/axiomzen/cryptokitties/issues/244
                                                        if ((bigT - smallT == 1) && smallT % 2 == 0) {
                                                
                                                            // The rand argument is expected to be a random number 0-7.
                                                            // 1st and 2nd tier: 1/4 chance (rand is 0 or 1)
                                                            // 3rd and 4th tier: 1/8 chance (rand is 0)
                                                
                                                            // must be at least this much to ascend
                                                            uint256 maxRand;
                                                            if (smallT < 23) maxRand = 1;
                                                            else maxRand = 0;
                                                
                                                            if (rand <= maxRand ) {
                                                                ascension = (smallT / 2) + 16;
                                                            }
                                                        }
                                                    }
                                                
                                                    /// @dev given a number get a slice of any bits, at certain offset
                                                    /// @param _n a number to be sliced
                                                    /// @param _nbits how many bits long is the new number
                                                    /// @param _offset how many bits to skip
                                                    function _sliceNumber(uint256 _n, uint256 _nbits, uint256 _offset) private pure returns (uint256) {
                                                        // mask is made by shifting left an offset number of times
                                                        uint256 mask = uint256((2**_nbits) - 1) << _offset;
                                                        // AND n with mask, and trim to max of _nbits bits
                                                        return uint256((_n & mask) >> _offset);
                                                    }
                                                
                                                    /// @dev Get a 5 bit slice from an input as a number
                                                    /// @param _input bits, encoded as uint
                                                    /// @param _slot from 0 to 50
                                                    function _get5Bits(uint256 _input, uint256 _slot) internal pure returns(uint8) {
                                                        return uint8(_sliceNumber(_input, uint256(5), _slot * 5));
                                                    }
                                                
                                                    /// @dev Parse a kitten gene and returns all of 12 "trait stack" that makes the characteristics
                                                    /// @param _genes kitten gene
                                                    /// @return the 48 traits that composes the genetic code, logically divided in stacks of 4, where only the first trait of each stack may express
                                                    function decode(uint256 _genes) public pure returns(uint8[]) {
                                                        uint8[] memory traits = new uint8[](48);
                                                        uint256 i;
                                                        for(i = 0; i < 48; i++) {
                                                            traits[i] = _get5Bits(_genes, i);
                                                        }
                                                        return traits;
                                                    }
                                                
                                                    /// @dev Given an array of traits return the number that represent genes
                                                    function encode(uint8[] _traits) public pure returns (uint256 _genes) {
                                                        _genes = 0;
                                                        for(uint256 i = 0; i < 48; i++) {
                                                            _genes = _genes << 5;
                                                            // bitwise OR trait with _genes
                                                            _genes = _genes | _traits[47 - i];
                                                        }
                                                        return _genes;
                                                    }
                                                
                                                    /// @dev return the expressing traits
                                                    /// @param _genes the long number expressing cat genes
                                                    function expressingTraits(uint256 _genes) public pure returns(uint8[12]) {
                                                        uint8[12] memory express;
                                                        for(uint256 i = 0; i < 12; i++) {
                                                            express[i] = _get5Bits(_genes, i * 4);
                                                        }
                                                        return express;
                                                    }
                                                
                                                    /// @dev the function as defined in the breeding contract - as defined in CK bible
                                                    function mixGenes(uint256 _genes1, uint256 _genes2, uint256 _targetBlock) public returns (uint256) {
                                                        require(block.number > _targetBlock);
                                                
                                                        // Try to grab the hash of the "target block". This should be available the vast
                                                        // majority of the time (it will only fail if no-one calls giveBirth() within 256
                                                        // blocks of the target block, which is about 40 minutes. Since anyone can call
                                                        // giveBirth() and they are rewarded with ether if it succeeds, this is quite unlikely.)
                                                        uint256 randomN = uint256(block.blockhash(_targetBlock));
                                                
                                                        if (randomN == 0) {
                                                            // We don't want to completely bail if the target block is no-longer available,
                                                            // nor do we want to just use the current block's hash (since it could allow a
                                                            // caller to game the random result). Compute the most recent block that has the
                                                            // the same value modulo 256 as the target block. The hash for this block will
                                                            // still be available, and – while it can still change as time passes – it will
                                                            // only change every 40 minutes. Again, someone is very likely to jump in with
                                                            // the giveBirth() call before it can cycle too many times.
                                                            _targetBlock = (block.number & maskFirst248Bits) + (_targetBlock & maskLast8Bits);
                                                
                                                            // The computation above could result in a block LARGER than the current block,
                                                            // if so, subtract 256.
                                                            if (_targetBlock >= block.number) _targetBlock -= 256;
                                                
                                                            randomN = uint256(block.blockhash(_targetBlock));
                                                
                                                            // DEBUG ONLY
                                                            // assert(block.number != _targetBlock);
                                                            // assert((block.number - _targetBlock) <= 256);
                                                            // assert(randomN != 0);
                                                        }
                                                
                                                        // generate 256 bits of random, using as much entropy as we can from
                                                        // sources that can't change between calls.
                                                        randomN = uint256(keccak256(randomN, _genes1, _genes2, _targetBlock));
                                                        uint256 randomIndex = 0;
                                                
                                                        uint8[] memory genes1Array = decode(_genes1);
                                                        uint8[] memory genes2Array = decode(_genes2);
                                                        // All traits that will belong to baby
                                                        uint8[] memory babyArray = new uint8[](48);
                                                        // A pointer to the trait we are dealing with currently
                                                        uint256 traitPos;
                                                        // Trait swap value holder
                                                        uint8 swap;
                                                        // iterate all 12 characteristics
                                                        for(uint256 i = 0; i < 12; i++) {
                                                            // pick 4 traits for characteristic i
                                                            uint256 j;
                                                            // store the current random value
                                                            uint256 rand;
                                                            for(j = 3; j >= 1; j--) {
                                                                traitPos = (i * 4) + j;
                                                
                                                                rand = _sliceNumber(randomN, 2, randomIndex); // 0~3
                                                                randomIndex += 2;
                                                
                                                                // 1/4 of a chance of gene swapping forward towards expressing.
                                                                if (rand == 0) {
                                                                    // do it for parent 1
                                                                    swap = genes1Array[traitPos];
                                                                    genes1Array[traitPos] = genes1Array[traitPos - 1];
                                                                    genes1Array[traitPos - 1] = swap;
                                                
                                                                }
                                                
                                                                rand = _sliceNumber(randomN, 2, randomIndex); // 0~3
                                                                randomIndex += 2;
                                                
                                                                if (rand == 0) {
                                                                    // do it for parent 2
                                                                    swap = genes2Array[traitPos];
                                                                    genes2Array[traitPos] = genes2Array[traitPos - 1];
                                                                    genes2Array[traitPos - 1] = swap;
                                                                }
                                                            }
                                                
                                                        }
                                                
                                                        // DEBUG ONLY - We should have used 72 2-bit slices above for the swapping
                                                        // which will have consumed 144 bits.
                                                        // assert(randomIndex == 144);
                                                
                                                        // We have 256 - 144 = 112 bits of randomness left at this point. We will use up to
                                                        // four bits for the first slot of each trait (three for the possible ascension, one
                                                        // to pick between mom and dad if the ascension fails, for a total of 48 bits. The other
                                                        // traits use one bit to pick between parents (36 gene pairs, 36 genes), leaving us
                                                        // well within our entropy budget.
                                                
                                                        // done shuffling parent genes, now let's decide on choosing trait and if ascending.
                                                        // NOTE: Ascensions ONLY happen in the "top slot" of each characteristic. This saves
                                                        //  gas and also ensures ascensions only happen when they're visible.
                                                        for(traitPos = 0; traitPos < 48; traitPos++) {
                                                
                                                            // See if this trait pair should ascend
                                                            uint8 ascendedTrait = 0;
                                                
                                                            // There are two checks here. The first is straightforward, only the trait
                                                            // in the first slot can ascend. The first slot is zero mod 4.
                                                            //
                                                            // The second check is more subtle: Only values that are one apart can ascend,
                                                            // which is what we check inside the _ascend method. However, this simple mask
                                                            // and compare is very cheap (9 gas) and will filter out about half of the
                                                            // non-ascending pairs without a function call.
                                                            //
                                                            // The comparison itself just checks that one value is even, and the other
                                                            // is odd.
                                                            if ((traitPos % 4 == 0) && (genes1Array[traitPos] & 1) != (genes2Array[traitPos] & 1)) {
                                                                rand = _sliceNumber(randomN, 3, randomIndex);
                                                                randomIndex += 3;
                                                
                                                                ascendedTrait = _ascend(genes1Array[traitPos], genes2Array[traitPos], rand);
                                                            }
                                                
                                                            if (ascendedTrait > 0) {
                                                                babyArray[traitPos] = uint8(ascendedTrait);
                                                            } else {
                                                                // did not ascend, pick one of the parent's traits for the baby
                                                                // We use the top bit of rand for this (the bottom three bits were used
                                                                // to check for the ascension itself).
                                                                rand = _sliceNumber(randomN, 1, randomIndex);
                                                                randomIndex += 1;
                                                
                                                                if (rand == 0) {
                                                                    babyArray[traitPos] = uint8(genes1Array[traitPos]);
                                                                } else {
                                                                    babyArray[traitPos] = uint8(genes2Array[traitPos]);
                                                                }
                                                            }
                                                        }
                                                
                                                        return encode(babyArray);
                                                    }
                                                }