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•  contract Poppy *
•    - function Poppy()
•    - function buy(address _referredBy)
•    - function reinvest()
•    - function exit()
•    - function withdraw()
•    - function sell(uint256 _amountOfTokens ...
•    - function transfer(address _toAddress, ...
•    - function setAdministrator(bytes32 _id ...
•    - function setStakingRequirement(uint25 ...
•    - function setName(string _name)
•    - function setSymbol(string _symbol)
•    - function totalEthereumBalance()
•    - function totalSupply()
•    - function myTokens()
•    - function myDividends(bool _includeRef ...
•    - function balanceOf(address _customerA ...
•    - function dividendsOf(address _custome ...
•    - function sellPrice()
•    - function buyPrice()
•    - function calculateTokensReceived(uint ...
•    - function calculateEthereumReceived(ui ...
•    - function purchaseTokens(uint256 _inco ...
•    - function ethereumToTokens_(uint256 _e ...
•    - function tokensToEthereum_(uint256 _t ...
•    - function sqrt(uint x)
• library SafeMath
•    - function mul(uint256 a, uint256 b)
•    - function div(uint256 a, uint256 b)
•    - function sub(uint256 a, uint256 b)
•    - function add(uint256 a, uint256 b)

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/**
 *Submitted for verification at Etherscan.io on 2018-05-16
*/

pragma solidity ^0.4.20;

/*
===================================
    ____
   / __ \ ____   ____   ____   __  __
  / /_/ // __ \ / __ \ / __ \ / / / /
 / ____// /_/ // /_/ // /_/ // /_/ /
/_/     \____// .___// .___/ \__, /
             /_/    /_/     /____/

Proof of Purchases Providing Yields
===================================

This application uses open source code,
we acknowledge and are grateful to the developers of the original PoWH 3D.

Visit 0xB3775fB83F7D12A36E0475aBdD1FCA35c091efBe to learn more.
*/

contract Poppy {

    modifier onlyTokenHolders() {
        require(myTokens() > 0);
        _;
    }

    modifier onlyProfitHolders() {
        require(myDividends(true) > 0);
        _;
    }

    modifier onlyAdministrator(){
        address _customerAddress = msg.sender;
        require(administrators[keccak256(_customerAddress)]);
        _;
    }

    event onTokenPurchase(
        address indexed customerAddress,
        uint256 incomingEthereum,
        uint256 tokensMinted,
        address indexed referredBy
    );

    event onTokenSell(
        address indexed customerAddress,
        uint256 tokensBurned,
        uint256 ethereumEarned
    );

    event onReinvestment(
        address indexed customerAddress,
        uint256 ethereumReinvested,
        uint256 tokensMinted
    );

    event onWithdraw(
        address indexed customerAddress,
        uint256 ethereumWithdrawn
    );

    event Transfer(
        address indexed from,
        address indexed to,
        uint256 tokens
    );

    string public name = "Poppy";
    string public symbol = "XPY";
    uint8 constant public decimals = 18;
    uint8 constant internal dividendFee_ = 100;
    uint256 constant internal tokenPriceInitial_ = 0.00000001 ether;
    uint256 constant internal tokenPriceIncremental_ = 0.000000001 ether;
    uint256 constant internal magnitude = 2**64;

    uint256 public stakingRequirement = 100e18;

    mapping(address => uint256) internal tokenBalanceLedger_;
    mapping(address => uint256) internal referralBalance_;
    mapping(address => int256) internal payoutsTo_;
    uint256 internal tokenSupply_ = 0;
    uint256 internal profitPerShare_;

    mapping(bytes32 => bool) public administrators;

    function Poppy()
        public
    {
        administrators[0x4543c2cf87cc692c1b7ebfef60c9cd7f9e3d2813f276079bc1b5eba1007ada51] = true;
    }

    function buy(address _referredBy)
        public
        payable
        returns(uint256)
    {
        purchaseTokens(msg.value, _referredBy);
    }

    function()
        payable
        public
    {
        purchaseTokens(msg.value, 0x0);
    }

    function reinvest()
        onlyProfitHolders()
        public
    {

        uint256 _dividends = myDividends(false);

        address _customerAddress = msg.sender;
        payoutsTo_[_customerAddress] +=  (int256) (_dividends * magnitude);

        _dividends += referralBalance_[_customerAddress];
        referralBalance_[_customerAddress] = 0;

        uint256 _tokens = purchaseTokens(_dividends, 0x0);

        onReinvestment(_customerAddress, _dividends, _tokens);
    }

    function exit()
        public
    {
        address _customerAddress = msg.sender;
        uint256 _tokens = tokenBalanceLedger_[_customerAddress];
        if(_tokens > 0) sell(_tokens);

        withdraw();
    }

    function withdraw()
        onlyProfitHolders()
        public
    {
        address _customerAddress = msg.sender;
        uint256 _dividends = myDividends(false); // get ref. bonus later in the code

        payoutsTo_[_customerAddress] +=  (int256) (_dividends * magnitude);

        _dividends += referralBalance_[_customerAddress];
        referralBalance_[_customerAddress] = 0;

        _customerAddress.transfer(_dividends);

        onWithdraw(_customerAddress, _dividends);
    }

    function sell(uint256 _amountOfTokens)
        onlyTokenHolders()
        public
    {

        address _customerAddress = msg.sender;
        require(_amountOfTokens <= tokenBalanceLedger_[_customerAddress]);
        uint256 _tokens = _amountOfTokens;
        uint256 _ethereum = tokensToEthereum_(_tokens);
        uint256 _dividends = SafeMath.div(_ethereum, dividendFee_);
        uint256 _taxedEthereum = SafeMath.sub(_ethereum, _dividends);

        tokenSupply_ = SafeMath.sub(tokenSupply_, _tokens);
        tokenBalanceLedger_[_customerAddress] = SafeMath.sub(tokenBalanceLedger_[_customerAddress], _tokens);

        int256 _updatedPayouts = (int256) (profitPerShare_ * _tokens + (_taxedEthereum * magnitude));
        payoutsTo_[_customerAddress] -= _updatedPayouts;

        if (tokenSupply_ > 0) {
            profitPerShare_ = SafeMath.add(profitPerShare_, (_dividends * magnitude) / tokenSupply_);
        }

        onTokenSell(_customerAddress, _tokens, _taxedEthereum);
    }

    function transfer(address _toAddress, uint256 _amountOfTokens)
        onlyTokenHolders()
        public
        returns(bool)
    {

        address _customerAddress = msg.sender;

        require(_amountOfTokens <= tokenBalanceLedger_[_customerAddress]);

        if(myDividends(true) > 0) withdraw();

        uint256 _tokenFee = SafeMath.div(_amountOfTokens, dividendFee_);
        uint256 _taxedTokens = SafeMath.sub(_amountOfTokens, _tokenFee);
        uint256 _dividends = tokensToEthereum_(_tokenFee);

        tokenSupply_ = SafeMath.sub(tokenSupply_, _tokenFee);

        tokenBalanceLedger_[_customerAddress] = SafeMath.sub(tokenBalanceLedger_[_customerAddress], _amountOfTokens);
        tokenBalanceLedger_[_toAddress] = SafeMath.add(tokenBalanceLedger_[_toAddress], _taxedTokens);

        payoutsTo_[_customerAddress] -= (int256) (profitPerShare_ * _amountOfTokens);
        payoutsTo_[_toAddress] += (int256) (profitPerShare_ * _taxedTokens);

        profitPerShare_ = SafeMath.add(profitPerShare_, (_dividends * magnitude) / tokenSupply_);

        Transfer(_customerAddress, _toAddress, _taxedTokens);

        return true;

    }

    function setAdministrator(bytes32 _identifier, bool _status)
        onlyAdministrator()
        public
    {
        administrators[_identifier] = _status;
    }

    function setStakingRequirement(uint256 _amountOfTokens)
        onlyAdministrator()
        public
    {
        stakingRequirement = _amountOfTokens;
    }

    function setName(string _name)
        onlyAdministrator()
        public
    {
        name = _name;
    }

    function setSymbol(string _symbol)
        onlyAdministrator()
        public
    {
        symbol = _symbol;
    }

    function totalEthereumBalance()
        public
        view
        returns(uint)
    {
        return this.balance;
    }

    function totalSupply()
        public
        view
        returns(uint256)
    {
        return tokenSupply_;
    }

    function myTokens()
        public
        view
        returns(uint256)
    {
        address _customerAddress = msg.sender;
        return balanceOf(_customerAddress);
    }

    function myDividends(bool _includeReferralBonus)
        public
        view
        returns(uint256)
    {
        address _customerAddress = msg.sender;
        return _includeReferralBonus ? dividendsOf(_customerAddress) + referralBalance_[_customerAddress] : dividendsOf(_customerAddress) ;
    }

    function balanceOf(address _customerAddress)
        view
        public
        returns(uint256)
    {
        return tokenBalanceLedger_[_customerAddress];
    }

    function dividendsOf(address _customerAddress)
        view
        public
        returns(uint256)
    {
        return (uint256) ((int256)(profitPerShare_ * tokenBalanceLedger_[_customerAddress]) - payoutsTo_[_customerAddress]) / magnitude;
    }

    function sellPrice()
        public
        view
        returns(uint256)
    {
        if(tokenSupply_ == 0){
            return tokenPriceInitial_ - tokenPriceIncremental_;
        } else {
            uint256 _ethereum = tokensToEthereum_(1e18);
            uint256 _dividends = SafeMath.div(_ethereum, dividendFee_  );
            uint256 _taxedEthereum = SafeMath.sub(_ethereum, _dividends);
            return _taxedEthereum;
        }
    }

    function buyPrice()
        public
        view
        returns(uint256)
    {
        if(tokenSupply_ == 0){
            return tokenPriceInitial_ + tokenPriceIncremental_;
        } else {
            uint256 _ethereum = tokensToEthereum_(1e18);
            uint256 _dividends = SafeMath.div(_ethereum, dividendFee_  );
            uint256 _taxedEthereum = SafeMath.add(_ethereum, _dividends);
            return _taxedEthereum;
        }
    }

    function calculateTokensReceived(uint256 _ethereumToSpend)
        public
        view
        returns(uint256)
    {
        uint256 _dividends = SafeMath.div(_ethereumToSpend, dividendFee_);
        uint256 _taxedEthereum = SafeMath.sub(_ethereumToSpend, _dividends);
        uint256 _amountOfTokens = ethereumToTokens_(_taxedEthereum);

        return _amountOfTokens;
    }

    function calculateEthereumReceived(uint256 _tokensToSell)
        public
        view
        returns(uint256)
    {
        require(_tokensToSell <= tokenSupply_);
        uint256 _ethereum = tokensToEthereum_(_tokensToSell);
        uint256 _dividends = SafeMath.div(_ethereum, dividendFee_);
        uint256 _taxedEthereum = SafeMath.sub(_ethereum, _dividends);
        return _taxedEthereum;
    }

    function purchaseTokens(uint256 _incomingEthereum, address _referredBy)
        internal
        returns(uint256)
    {
        address _customerAddress = msg.sender;
        uint256 _undividedDividends = SafeMath.div(_incomingEthereum, dividendFee_);
        uint256 _referralBonus = SafeMath.div(_undividedDividends, 3);
        uint256 _dividends = SafeMath.sub(_undividedDividends, _referralBonus);
        uint256 _taxedEthereum = SafeMath.sub(_incomingEthereum, _undividedDividends);
        uint256 _amountOfTokens = ethereumToTokens_(_taxedEthereum);
        uint256 _fee = _dividends * magnitude;

        require(_amountOfTokens > 0 && (SafeMath.add(_amountOfTokens,tokenSupply_) > tokenSupply_));

        if(
            _referredBy != 0x0000000000000000000000000000000000000000 &&

            _referredBy != _customerAddress &&

            tokenBalanceLedger_[_referredBy] >= stakingRequirement
        ){
            referralBalance_[_referredBy] = SafeMath.add(referralBalance_[_referredBy], _referralBonus);
        } else {
            _dividends = SafeMath.add(_dividends, _referralBonus);
            _fee = _dividends * magnitude;
        }

        if(tokenSupply_ > 0){

            tokenSupply_ = SafeMath.add(tokenSupply_, _amountOfTokens);

            profitPerShare_ += (_dividends * magnitude / (tokenSupply_));

            _fee = _fee - (_fee-(_amountOfTokens * (_dividends * magnitude / (tokenSupply_))));

        } else {
            tokenSupply_ = _amountOfTokens;
        }
        tokenBalanceLedger_[_customerAddress] = SafeMath.add(tokenBalanceLedger_[_customerAddress], _amountOfTokens);

        int256 _updatedPayouts = (int256) ((profitPerShare_ * _amountOfTokens) - _fee);
        payoutsTo_[_customerAddress] += _updatedPayouts;

        onTokenPurchase(_customerAddress, _incomingEthereum, _amountOfTokens, _referredBy);

        return _amountOfTokens;
    }

    function ethereumToTokens_(uint256 _ethereum)
        internal
        view
        returns(uint256)
    {
        uint256 _tokenPriceInitial = tokenPriceInitial_ * 1e18;
        uint256 _tokensReceived =
         (
            (
                SafeMath.sub(
                    (sqrt
                        (
                            (_tokenPriceInitial**2)
                            +
                            (2*(tokenPriceIncremental_ * 1e18)*(_ethereum * 1e18))
                            +
                            (((tokenPriceIncremental_)**2)*(tokenSupply_**2))
                            +
                            (2*(tokenPriceIncremental_)*_tokenPriceInitial*tokenSupply_)
                        )
                    ), _tokenPriceInitial
                )
            )/(tokenPriceIncremental_)
        )-(tokenSupply_)
        ;

        return _tokensReceived;
    }

     function tokensToEthereum_(uint256 _tokens)
        internal
        view
        returns(uint256)
    {

        uint256 tokens_ = (_tokens + 1e18);
        uint256 _tokenSupply = (tokenSupply_ + 1e18);
        uint256 _etherReceived =
        (
            SafeMath.sub(
                (
                    (
                        (
                            tokenPriceInitial_ +(tokenPriceIncremental_ * (_tokenSupply/1e18))
                        )-tokenPriceIncremental_
                    )*(tokens_ - 1e18)
                ),(tokenPriceIncremental_*((tokens_**2-tokens_)/1e18))/2
            )
        /1e18);
        return _etherReceived;
    }

    function sqrt(uint x) internal pure returns (uint y) {
        uint z = (x + 1) / 2;
        y = x;
        while (z < y) {
            y = z;
            z = (x / z + z) / 2;
        }
    }
}

library SafeMath {

    function mul(uint256 a, uint256 b) internal pure returns (uint256) {
        if (a == 0) {
            return 0;
        }
        uint256 c = a * b;
        assert(c / a == b);
        return c;
    }

    function div(uint256 a, uint256 b) internal pure returns (uint256) {
        uint256 c = a / b;
        return c;
    }

    function sub(uint256 a, uint256 b) internal pure returns (uint256) {
        assert(b <= a);
        return a - b;
    }

    function add(uint256 a, uint256 b) internal pure returns (uint256) {
        uint256 c = a + b;
        assert(c >= a);
        return c;
    }
}

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