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// SPDX-License-Identifier: MIT

pragma solidity 0.8.29;

import {IGigaBridge} from "./interfaces/IGigaBridge.sol";
import {IGigaRootProvider, ILocalRootRecipient, ILocalRootProvider, IGigaRootRecipient} from "./interfaces/IRootMessengers.sol";
import {PoseidonT3} from "poseidon-solidity/PoseidonT3.sol";
import {LazyIMT, LazyIMTData} from "@zk-kit/lazy-imt.sol/LazyIMT.sol";

contract GigaBridge is IGigaBridge, ILocalRootRecipient, IGigaRootProvider  {
    // get gigaRootFrom destination chain. look up at which block that got created at with: ConstructedNewGigaRoot(gigaRoot)
    // get all leaves of giga tree by scanning for all indexes with ReceivedNewLocalRoot. Start at the block number found above ^
    // get allIndexes you need by looking at amountOfLocalRoots
    // work ur way down until you found all indexes.

    uint256 public gigaRoot; // keep this here pls so it's alway at slot 0 for L1SLOAD on scroll

    LazyIMTData public rootTreeData; // does this need to be public? yes? maybe we can sync clients faster somehow?
    uint8 public maxTreeDepth;

    mapping(address => uint40) private localRootProvidersIndexes; // getters are public btw
    mapping(address => uint256) public localRootBlockNumbers; // current blocknumber per root. History is in events. We need this to check that incoming roots are not older than current
    uint256 public amountOfLocalRoots;

    event SentGigaRoot(uint256 indexed gigaRoot);

    /**
     * @notice Initialize the root bridge
     * @param _gigaRootRecipients - the L1 contracts that can receive roots from corresponding locals
     */
    constructor(address[] memory _gigaRootRecipients, uint8 _maxTreeDepth) {
        maxTreeDepth = _maxTreeDepth;
        // init doesn't add any leaves. But the leaves are all 0 by default!
        LazyIMT.init(rootTreeData, _maxTreeDepth);

        // for each L1LocalRootProvider...
        for (uint40 i = 0; i < _gigaRootRecipients.length; i++) {
            _setLocalRootProvidersIndex(_gigaRootRecipients[i], i);
            LazyIMT.insert(rootTreeData,0); // TODO this is kind of expensive way to get around the error from `lazyIMT.update`: `leaf must exist`
        }
        amountOfLocalRoots = _gigaRootRecipients.length; 

        // other wise gigaRoot can be 0. Which i cant see how that would be a issue but it scares so we do this to be safe
        gigaRoot = LazyIMT.root(rootTreeData, maxTreeDepth);
    }

    function _setLocalRootProvidersIndex(address _localRootProvider, uint40 index) private {
        localRootProvidersIndexes[_localRootProvider] = index + 1; //+1 because a mapping defaults to 0. so those don't exist!
    }

    function getLocalRootProvidersIndex(address _localRootProvider) public view returns(uint40) {
        return localRootProvidersIndexes[_localRootProvider] - 1; //-1 because a mapping defaults to 0. so those don't exist!
    }

    function isLocalRootProviders(address _localRootProvider) public view returns(bool) {
        return localRootProvidersIndexes[_localRootProvider] > 0;
    }

    /**
     * @notice updates the current gigaRoot by querying for updates from the supplied
     * list of local root providers.  You can pull updates from a subset of local root providers for gas saving (don't have to update to all local root providers).
     */
    function updateGigaRoot(address[] memory _localRootProvider) external {
        // for each localRootProviders
        for (uint40 i = 0; i < _localRootProvider.length; i++) {
            address localRootProvider = _localRootProvider[i];

            // get the index of this localRootProvider (used in updatedLocalRootBlockNumbers and rootTreeData)
            uint40 localRootIndex = getLocalRootProvidersIndex(localRootProvider);

            // make sure this bridgeAdapterAddress was initialized
            require(
                isLocalRootProviders(localRootProvider),
                "Address is not a registered root bridge address"
            );

            // get the most recent l2 root and the l2 block number it came from from this bridge
            (uint256 newLocalRoot, uint256 localRootBlockNumber) = ILocalRootProvider(localRootProvider).getLocalRootAndBlock();

            require(localRootBlockNumber >= localRootBlockNumbers[localRootProvider], "localRoot has to be newer or the same"); 
            localRootBlockNumbers[localRootProvider] = localRootBlockNumber;

            LazyIMT.update(rootTreeData, newLocalRoot, localRootIndex);
            //TODO can we emit 33 events?
            emit ReceivedNewLocalRoot(
                newLocalRoot,
                localRootIndex,
                localRootBlockNumber
            );
        }
        // compute new giga root
        uint256 newGigaRoot = LazyIMT.root(rootTreeData, maxTreeDepth);
        emit ConstructedNewGigaRoot(newGigaRoot);

        // set new gigaRoot in contract
        gigaRoot = newGigaRoot;
    }   

    // TODO this is very convenient to initiated all bridging txs at once but the problem is that every bridge is different
    // so the might require different parameter handed to them by a eoa like scrolls bridge needs a extra gaslimit
    // so we should pull from the gigaRoot from the L1Adapter instead

    // Made this a second function because the addresses that want the gigaRoot
    // might be different from the addresses that are updating their localRoot.
    // since most of the time everyone wants the latest gigaRoot but not everyone has a localRoot that is new
    // Sends the most recent gigaRoot to an array of localRootProviders
    function sendGigaRoot(address[] memory _gigaRootRecipients, uint256[] memory _amounts) public payable {
        uint256 _gigaRoot = gigaRoot;
        emit SentGigaRoot(_gigaRoot);
        for (uint256 i = 0; i < _gigaRootRecipients.length; i++) {
            address gigaRootRecipient = _gigaRootRecipients[i];

            // send the most recent gigaRoot to this LocalRootProvider address. 
            // They provide local roots but also like something back. A gigaRoot :0!!!
           IGigaRootRecipient(gigaRootRecipient).receiveGigaRoot{value: _amounts[i]}(_gigaRoot);
        }
    }


    // above function is more efficient most of the time. This is here to support the IGigaRootProvider 
    // and IGigaRootProvider doesn't do the for loop because L2 adapters only have one recipient (L2Warptoad).
    function sendGigaRoot(address _gigaRootRecipient) public payable{
        uint256 _gigaRoot = gigaRoot;
        emit SentGigaRoot(_gigaRoot);
        IGigaRootRecipient(_gigaRootRecipient).receiveGigaRoot{value: msg.value}(_gigaRoot);
    }

    // // for scroll who needs eth to make the bridge tx
    // // this is kinda getting messy. Next version of gigaBridge should instead only receive leafValues and have a public getter for gigaRoot (history)
    // // then the adapters can handle all these whacky different bridge apis. 
    // // for loops are also bad in gigaBridge, since it forces gigaBridge to know what the bridge api is like before hand. Instead we should just do multi-call or whatever
    // function sendGigaRootPayable(address _gigaRootRecipient) public payable {
    //     IGigaRootRecipient(_gigaRootRecipient).receiveGigaRoot{value: msg.value}(gigaRoot);
    // }
}

// SPDX-License-Identifier: UNLICENSED
pragma solidity ^0.8.4;

uint256 constant SNARK_SCALAR_FIELD = 21888242871839275222246405745257275088548364400416034343698204186575808495617;
uint8 constant MAX_DEPTH = 32;

// SPDX-License-Identifier: MIT
pragma solidity ^0.8.4;

import {PoseidonT3} from "poseidon-solidity/PoseidonT3.sol";
import {SNARK_SCALAR_FIELD, MAX_DEPTH} from "./Constants.sol";

struct LazyIMTData {
    uint40 maxIndex;
    uint40 numberOfLeaves;
    mapping(uint256 => uint256) elements;
}

library InternalLazyIMT {
    uint40 internal constant MAX_INDEX = (1 << 32) - 1;

    uint256 internal constant Z_0 = 0;
    uint256 internal constant Z_1 = 14744269619966411208579211824598458697587494354926760081771325075741142829156;
    uint256 internal constant Z_2 = 7423237065226347324353380772367382631490014989348495481811164164159255474657;
    uint256 internal constant Z_3 = 11286972368698509976183087595462810875513684078608517520839298933882497716792;
    uint256 internal constant Z_4 = 3607627140608796879659380071776844901612302623152076817094415224584923813162;
    uint256 internal constant Z_5 = 19712377064642672829441595136074946683621277828620209496774504837737984048981;
    uint256 internal constant Z_6 = 20775607673010627194014556968476266066927294572720319469184847051418138353016;
    uint256 internal constant Z_7 = 3396914609616007258851405644437304192397291162432396347162513310381425243293;
    uint256 internal constant Z_8 = 21551820661461729022865262380882070649935529853313286572328683688269863701601;
    uint256 internal constant Z_9 = 6573136701248752079028194407151022595060682063033565181951145966236778420039;
    uint256 internal constant Z_10 = 12413880268183407374852357075976609371175688755676981206018884971008854919922;
    uint256 internal constant Z_11 = 14271763308400718165336499097156975241954733520325982997864342600795471836726;
    uint256 internal constant Z_12 = 20066985985293572387227381049700832219069292839614107140851619262827735677018;
    uint256 internal constant Z_13 = 9394776414966240069580838672673694685292165040808226440647796406499139370960;
    uint256 internal constant Z_14 = 11331146992410411304059858900317123658895005918277453009197229807340014528524;
    uint256 internal constant Z_15 = 15819538789928229930262697811477882737253464456578333862691129291651619515538;
    uint256 internal constant Z_16 = 19217088683336594659449020493828377907203207941212636669271704950158751593251;
    uint256 internal constant Z_17 = 21035245323335827719745544373081896983162834604456827698288649288827293579666;
    uint256 internal constant Z_18 = 6939770416153240137322503476966641397417391950902474480970945462551409848591;
    uint256 internal constant Z_19 = 10941962436777715901943463195175331263348098796018438960955633645115732864202;
    uint256 internal constant Z_20 = 15019797232609675441998260052101280400536945603062888308240081994073687793470;
    uint256 internal constant Z_21 = 11702828337982203149177882813338547876343922920234831094975924378932809409969;
    uint256 internal constant Z_22 = 11217067736778784455593535811108456786943573747466706329920902520905755780395;
    uint256 internal constant Z_23 = 16072238744996205792852194127671441602062027943016727953216607508365787157389;
    uint256 internal constant Z_24 = 17681057402012993898104192736393849603097507831571622013521167331642182653248;
    uint256 internal constant Z_25 = 21694045479371014653083846597424257852691458318143380497809004364947786214945;
    uint256 internal constant Z_26 = 8163447297445169709687354538480474434591144168767135863541048304198280615192;
    uint256 internal constant Z_27 = 14081762237856300239452543304351251708585712948734528663957353575674639038357;
    uint256 internal constant Z_28 = 16619959921569409661790279042024627172199214148318086837362003702249041851090;
    uint256 internal constant Z_29 = 7022159125197495734384997711896547675021391130223237843255817587255104160365;
    uint256 internal constant Z_30 = 4114686047564160449611603615418567457008101555090703535405891656262658644463;
    uint256 internal constant Z_31 = 12549363297364877722388257367377629555213421373705596078299904496781819142130;
    uint256 internal constant Z_32 = 21443572485391568159800782191812935835534334817699172242223315142338162256601;

    function _defaultZero(uint8 index) internal pure returns (uint256) {
        if (index == 0) return Z_0;
        if (index == 1) return Z_1;
        if (index == 2) return Z_2;
        if (index == 3) return Z_3;
        if (index == 4) return Z_4;
        if (index == 5) return Z_5;
        if (index == 6) return Z_6;
        if (index == 7) return Z_7;
        if (index == 8) return Z_8;
        if (index == 9) return Z_9;
        if (index == 10) return Z_10;
        if (index == 11) return Z_11;
        if (index == 12) return Z_12;
        if (index == 13) return Z_13;
        if (index == 14) return Z_14;
        if (index == 15) return Z_15;
        if (index == 16) return Z_16;
        if (index == 17) return Z_17;
        if (index == 18) return Z_18;
        if (index == 19) return Z_19;
        if (index == 20) return Z_20;
        if (index == 21) return Z_21;
        if (index == 22) return Z_22;
        if (index == 23) return Z_23;
        if (index == 24) return Z_24;
        if (index == 25) return Z_25;
        if (index == 26) return Z_26;
        if (index == 27) return Z_27;
        if (index == 28) return Z_28;
        if (index == 29) return Z_29;
        if (index == 30) return Z_30;
        if (index == 31) return Z_31;
        if (index == 32) return Z_32;
        revert("LazyIMT: defaultZero bad index");
    }

    function _init(LazyIMTData storage self, uint8 depth) internal {
        require(depth <= MAX_DEPTH, "LazyIMT: Tree too large");
        self.maxIndex = uint40((1 << depth) - 1);
        self.numberOfLeaves = 0;
    }

    function _reset(LazyIMTData storage self) internal {
        self.numberOfLeaves = 0;
    }

    function _indexForElement(uint8 level, uint40 index) internal pure returns (uint40) {
        // store the elements sparsely
        return MAX_INDEX * level + index;
    }

    function _insert(LazyIMTData storage self, uint256 leaf) internal {
        uint40 index = self.numberOfLeaves;
        require(leaf < SNARK_SCALAR_FIELD, "LazyIMT: leaf must be < SNARK_SCALAR_FIELD");
        require(index < self.maxIndex, "LazyIMT: tree is full");

        self.numberOfLeaves = index + 1;

        uint256 hash = leaf;

        for (uint8 i = 0; ; ) {
            self.elements[_indexForElement(i, index)] = hash;
            // it's a left element so we don't hash until there's a right element
            if (index & 1 == 0) break;
            uint40 elementIndex = _indexForElement(i, index - 1);
            hash = PoseidonT3.hash([self.elements[elementIndex], hash]);
            unchecked {
                index >>= 1;
                i++;
            }
        }
    }

    function _update(LazyIMTData storage self, uint256 leaf, uint40 index) internal {
        require(leaf < SNARK_SCALAR_FIELD, "LazyIMT: leaf must be < SNARK_SCALAR_FIELD");
        uint40 numberOfLeaves = self.numberOfLeaves;
        require(index < numberOfLeaves, "LazyIMT: leaf must exist");

        uint256 hash = leaf;

        for (uint8 i = 0; true; ) {
            self.elements[_indexForElement(i, index)] = hash;
            uint256 levelCount = numberOfLeaves >> (i + 1);
            if (levelCount <= index >> 1) break;
            if (index & 1 == 0) {
                uint40 elementIndex = _indexForElement(i, index + 1);
                hash = PoseidonT3.hash([hash, self.elements[elementIndex]]);
            } else {
                uint40 elementIndex = _indexForElement(i, index - 1);
                hash = PoseidonT3.hash([self.elements[elementIndex], hash]);
            }
            unchecked {
                index >>= 1;
                i++;
            }
        }
    }

    function _root(LazyIMTData storage self) internal view returns (uint256) {
        // this will always short circuit if self.numberOfLeaves == 0
        uint40 numberOfLeaves = self.numberOfLeaves;
        // dynamically determine a depth
        uint8 depth = 1;
        while (uint40(2) ** uint40(depth) < numberOfLeaves) {
            depth++;
        }
        return _root(self, numberOfLeaves, depth);
    }

    function _root(LazyIMTData storage self, uint8 depth) internal view returns (uint256) {
        require(depth > 0, "LazyIMT: depth must be > 0");
        require(depth <= MAX_DEPTH, "LazyIMT: depth must be <= MAX_DEPTH");
        uint40 numberOfLeaves = self.numberOfLeaves;
        require(uint40(2) ** uint40(depth) >= numberOfLeaves, "LazyIMT: ambiguous depth");
        return _root(self, numberOfLeaves, depth);
    }

    // Here it's assumed that the depth value is valid. If it is either 0 or > 2^8-1
    // this function will panic.
    function _root(LazyIMTData storage self, uint40 numberOfLeaves, uint8 depth) internal view returns (uint256) {
        require(depth <= MAX_DEPTH, "LazyIMT: depth must be <= MAX_DEPTH");
        // this should always short circuit if self.numberOfLeaves == 0
        if (numberOfLeaves == 0) return _defaultZero(depth);
        uint256[] memory levels = new uint256[](depth + 1);
        _levels(self, numberOfLeaves, depth, levels);
        return levels[depth];
    }

    function _levels(
        LazyIMTData storage self,
        uint40 numberOfLeaves,
        uint8 depth,
        uint256[] memory levels
    ) internal view {
        require(depth <= MAX_DEPTH, "LazyIMT: depth must be <= MAX_DEPTH");
        require(numberOfLeaves > 0, "LazyIMT: number of leaves must be > 0");
        // this should always short circuit if self.numberOfLeaves == 0
        uint40 index = numberOfLeaves - 1;

        if (index & 1 == 0) {
            levels[0] = self.elements[_indexForElement(0, index)];
        } else {
            levels[0] = _defaultZero(0);
        }

        for (uint8 i = 0; i < depth; ) {
            if (index & 1 == 0) {
                levels[i + 1] = PoseidonT3.hash([levels[i], _defaultZero(i)]);
            } else {
                uint256 levelCount = (numberOfLeaves) >> (i + 1);
                if (levelCount > index >> 1) {
                    uint256 parent = self.elements[_indexForElement(i + 1, index >> 1)];
                    levels[i + 1] = parent;
                } else {
                    uint256 sibling = self.elements[_indexForElement(i, index - 1)];
                    levels[i + 1] = PoseidonT3.hash([sibling, levels[i]]);
                }
            }
            unchecked {
                index >>= 1;
                i++;
            }
        }
    }

    function _merkleProofElements(
        LazyIMTData storage self,
        uint40 index,
        uint8 depth
    ) internal view returns (uint256[] memory) {
        uint40 numberOfLeaves = self.numberOfLeaves;
        require(index < numberOfLeaves, "LazyIMT: leaf must exist");

        uint8 targetDepth = 1;
        while (uint40(2) ** uint40(targetDepth) < numberOfLeaves) {
            targetDepth++;
        }
        require(depth >= targetDepth, "LazyIMT: proof depth");
        // pass depth -1 because we don't need the root value
        uint256[] memory _elements = new uint256[](depth);
        _levels(self, numberOfLeaves, targetDepth - 1, _elements);

        // unroll the bottom entry of the tree because it will never need to
        // be pulled from _levels
        if (index & 1 == 0) {
            if (index + 1 >= numberOfLeaves) {
                _elements[0] = _defaultZero(0);
            } else {
                _elements[0] = self.elements[_indexForElement(0, index + 1)];
            }
        } else {
            _elements[0] = self.elements[_indexForElement(0, index - 1)];
        }
        index >>= 1;

        for (uint8 i = 1; i < depth; ) {
            uint256 currentLevelCount = numberOfLeaves >> i;
            if (index & 1 == 0) {
                // if the element is an uncomputed edge node we'll use the value set
                // from _levels above
                // otherwise set as usual below
                if (index + 1 < currentLevelCount) {
                    _elements[i] = self.elements[_indexForElement(i, index + 1)];
                } else if (((numberOfLeaves - 1) >> i) <= index) {
                    _elements[i] = _defaultZero(i);
                }
            } else {
                _elements[i] = self.elements[_indexForElement(i, index - 1)];
            }
            unchecked {
                index >>= 1;
                i++;
            }
        }
        return _elements;
    }
}

// SPDX-License-Identifier: MIT
pragma solidity ^0.8.4;

import {InternalLazyIMT, LazyIMTData} from "./InternalLazyIMT.sol";

library LazyIMT {
    using InternalLazyIMT for *;

    function init(LazyIMTData storage self, uint8 depth) public {
        InternalLazyIMT._init(self, depth);
    }

    function defaultZero(uint8 index) public pure returns (uint256) {
        return InternalLazyIMT._defaultZero(index);
    }

    function reset(LazyIMTData storage self) public {
        InternalLazyIMT._reset(self);
    }

    function indexForElement(uint8 level, uint40 index) public pure returns (uint40) {
        return InternalLazyIMT._indexForElement(level, index);
    }

    function insert(LazyIMTData storage self, uint256 leaf) public {
        InternalLazyIMT._insert(self, leaf);
    }

    function update(LazyIMTData storage self, uint256 leaf, uint40 index) public {
        InternalLazyIMT._update(self, leaf, index);
    }

    function root(LazyIMTData storage self) public view returns (uint256) {
        return InternalLazyIMT._root(self);
    }

    function root(LazyIMTData storage self, uint8 depth) public view returns (uint256) {
        return InternalLazyIMT._root(self, depth);
    }

    function merkleProofElements(
        LazyIMTData storage self,
        uint40 index,
        uint8 depth
    ) public view returns (uint256[] memory) {
        return InternalLazyIMT._merkleProofElements(self, index, depth);
    }

    function _root(LazyIMTData storage self, uint40 numberOfLeaves, uint8 depth) internal view returns (uint256) {
        return InternalLazyIMT._root(self, numberOfLeaves, depth);
    }
}

// SPDX-License-Identifier: MIT

pragma solidity 0.8.29;

// TODO public state vars?
interface IGigaBridge {
    event ConstructedNewGigaRoot(
        uint256 indexed newGigaRoot
    ); 
    
    event ReceivedNewLocalRoot(
        uint256 indexed newLocalRoot,
        uint40 indexed localRootIndex, 
        uint256 localRootBlockNumber
    );

    function getLocalRootProvidersIndex(address _localRootProvider) external view returns(uint40);

    function isLocalRootProviders(address _localRootProvider) external view returns(bool);

    function updateGigaRoot(address[] memory _localRootProvider) external;

    // Made this a second function because the addresses that want the gigaRoot
    // might be different from the addresses that are updating their localRoot.
    // since most of the time everyone wants the latest gigaRoot but not everyone has a localRoot that is new
    // Sends the most recent gigaRoot to an array of localRootProviders
    function sendGigaRoot(address[] memory _gigaRootRecipients, uint256[] memory _amounts) payable external;

}

// SPDX-License-Identifier: MIT

pragma solidity 0.8.29;

interface IGigaRootProvider {
    function sendGigaRoot(address _gigaRootRecipient) external payable;
    function gigaRoot() external returns(uint256);
}

interface IGigaRootRecipient {
    function receiveGigaRoot(uint256 _gigaRoot) payable external;
    //function receiveGigaRoot(uint256 _gigaRoot, uint256 _gasLimit) payable external;
}


interface ILocalRootProvider {
    function getLocalRootAndBlock() external returns (uint256, uint256);
}

interface ILocalRootRecipient {
    //only gigaBridge does this
    //function updateGigaRoot(address[] memory _localRootProvider) external;
}

/// SPDX-License-Identifier: MIT
pragma solidity >=0.7.0;

library PoseidonT3 {
  uint constant M00 = 0x109b7f411ba0e4c9b2b70caf5c36a7b194be7c11ad24378bfedb68592ba8118b;
  uint constant M01 = 0x2969f27eed31a480b9c36c764379dbca2cc8fdd1415c3dded62940bcde0bd771;
  uint constant M02 = 0x143021ec686a3f330d5f9e654638065ce6cd79e28c5b3753326244ee65a1b1a7;
  uint constant M10 = 0x16ed41e13bb9c0c66ae119424fddbcbc9314dc9fdbdeea55d6c64543dc4903e0;
  uint constant M11 = 0x2e2419f9ec02ec394c9871c832963dc1b89d743c8c7b964029b2311687b1fe23;
  uint constant M12 = 0x176cc029695ad02582a70eff08a6fd99d057e12e58e7d7b6b16cdfabc8ee2911;

  // See here for a simplified implementation: https://github.com/vimwitch/poseidon-solidity/blob/e57becdabb65d99fdc586fe1e1e09e7108202d53/contracts/Poseidon.sol#L40
  // Inspired by: https://github.com/iden3/circomlibjs/blob/v0.0.8/src/poseidon_slow.js
  function hash(uint[2] memory) public pure returns (uint) {
    assembly {
      let F := 21888242871839275222246405745257275088548364400416034343698204186575808495617
      let M20 := 0x2b90bba00fca0589f617e7dcbfe82e0df706ab640ceb247b791a93b74e36736d
      let M21 := 0x101071f0032379b697315876690f053d148d4e109f5fb065c8aacc55a0f89bfa
      let M22 := 0x19a3fc0a56702bf417ba7fee3802593fa644470307043f7773279cd71d25d5e0

      // load the inputs from memory
      let state1 := add(mod(mload(0x80), F), 0x00f1445235f2148c5986587169fc1bcd887b08d4d00868df5696fff40956e864)
      let state2 := add(mod(mload(0xa0), F), 0x08dff3487e8ac99e1f29a058d0fa80b930c728730b7ab36ce879f3890ecf73f5)
      let scratch0 := mulmod(state1, state1, F)
      state1 := mulmod(mulmod(scratch0, scratch0, F), state1, F)
      scratch0 := mulmod(state2, state2, F)
      state2 := mulmod(mulmod(scratch0, scratch0, F), state2, F)
      scratch0 := add(
        0x2f27be690fdaee46c3ce28f7532b13c856c35342c84bda6e20966310fadc01d0,
        add(add(15452833169820924772166449970675545095234312153403844297388521437673434406763, mulmod(state1, M10, F)), mulmod(state2, M20, F))
      )
      let scratch1 := add(
        0x2b2ae1acf68b7b8d2416bebf3d4f6234b763fe04b8043ee48b8327bebca16cf2,
        add(add(18674271267752038776579386132900109523609358935013267566297499497165104279117, mulmod(state1, M11, F)), mulmod(state2, M21, F))
      )
      let scratch2 := add(
        0x0319d062072bef7ecca5eac06f97d4d55952c175ab6b03eae64b44c7dbf11cfa,
        add(add(14817777843080276494683266178512808687156649753153012854386334860566696099579, mulmod(state1, M12, F)), mulmod(state2, M22, F))
      )
      let state0 := mulmod(scratch0, scratch0, F)
      scratch0 := mulmod(mulmod(state0, state0, F), scratch0, F)
      state0 := mulmod(scratch1, scratch1, F)
      scratch1 := mulmod(mulmod(state0, state0, F), scratch1, F)
      state0 := mulmod(scratch2, scratch2, F)
      scratch2 := mulmod(mulmod(state0, state0, F), scratch2, F)
      state0 := add(0x28813dcaebaeaa828a376df87af4a63bc8b7bf27ad49c6298ef7b387bf28526d, add(add(mulmod(scratch0, M00, F), mulmod(scratch1, M10, F)), mulmod(scratch2, M20, F)))
      state1 := add(0x2727673b2ccbc903f181bf38e1c1d40d2033865200c352bc150928adddf9cb78, add(add(mulmod(scratch0, M01, F), mulmod(scratch1, M11, F)), mulmod(scratch2, M21, F)))
      state2 := add(0x234ec45ca27727c2e74abd2b2a1494cd6efbd43e340587d6b8fb9e31e65cc632, add(add(mulmod(scratch0, M02, F), mulmod(scratch1, M12, F)), mulmod(scratch2, M22, F)))
      scratch0 := mulmod(state0, state0, F)
      state0 := mulmod(mulmod(scratch0, scratch0, F), state0, F)
      scratch0 := mulmod(state1, state1, F)
      state1 := mulmod(mulmod(scratch0, scratch0, F), state1, F)
      scratch0 := mulmod(state2, state2, F)
      state2 := mulmod(mulmod(scratch0, scratch0, F), state2, F)
      scratch0 := add(0x15b52534031ae18f7f862cb2cf7cf760ab10a8150a337b1ccd99ff6e8797d428, add(add(mulmod(state0, M00, F), mulmod(state1, M10, F)), mulmod(state2, M20, F)))
      scratch1 := add(0x0dc8fad6d9e4b35f5ed9a3d186b79ce38e0e8a8d1b58b132d701d4eecf68d1f6, add(add(mulmod(state0, M01, F), mulmod(state1, M11, F)), mulmod(state2, M21, F)))
      scratch2 := add(0x1bcd95ffc211fbca600f705fad3fb567ea4eb378f62e1fec97805518a47e4d9c, add(add(mulmod(state0, M02, F), mulmod(state1, M12, F)), mulmod(state2, M22, F)))
      state0 := mulmod(scratch0, scratch0, F)
      scratch0 := mulmod(mulmod(state0, state0, F), scratch0, F)
      state0 := mulmod(scratch1, scratch1, F)
      scratch1 := mulmod(mulmod(state0, state0, F), scratch1, F)
      state0 := mulmod(scratch2, scratch2, F)
      scratch2 := mulmod(mulmod(state0, state0, F), scratch2, F)
      state0 := add(0x10520b0ab721cadfe9eff81b016fc34dc76da36c2578937817cb978d069de559, add(add(mulmod(scratch0, M00, F), mulmod(scratch1, M10, F)), mulmod(scratch2, M20, F)))
      state1 := add(0x1f6d48149b8e7f7d9b257d8ed5fbbaf42932498075fed0ace88a9eb81f5627f6, add(add(mulmod(scratch0, M01, F), mulmod(scratch1, M11, F)), mulmod(scratch2, M21, F)))
      state2 := add(0x1d9655f652309014d29e00ef35a2089bfff8dc1c816f0dc9ca34bdb5460c8705, add(add(mulmod(scratch0, M02, F), mulmod(scratch1, M12, F)), mulmod(scratch2, M22, F)))
      scratch0 := mulmod(state0, state0, F)
      state0 := mulmod(mulmod(scratch0, scratch0, F), state0, F)
      scratch0 := add(0x04df5a56ff95bcafb051f7b1cd43a99ba731ff67e47032058fe3d4185697cc7d, add(add(mulmod(state0, M00, F), mulmod(state1, M10, F)), mulmod(state2, M20, F)))
      scratch1 := add(0x0672d995f8fff640151b3d290cedaf148690a10a8c8424a7f6ec282b6e4be828, add(add(mulmod(state0, M01, F), mulmod(state1, M11, F)), mulmod(state2, M21, F)))
      scratch2 := add(0x099952b414884454b21200d7ffafdd5f0c9a9dcc06f2708e9fc1d8209b5c75b9, add(add(mulmod(state0, M02, F), mulmod(state1, M12, F)), mulmod(state2, M22, F)))
      state0 := mulmod(scratch0, scratch0, F)
      scratch0 := mulmod(mulmod(state0, state0, F), scratch0, F)
      state0 := add(0x052cba2255dfd00c7c483143ba8d469448e43586a9b4cd9183fd0e843a6b9fa6, add(add(mulmod(scratch0, M00, F), mulmod(scratch1, M10, F)), mulmod(scratch2, M20, F)))
      state1 := add(0x0b8badee690adb8eb0bd74712b7999af82de55707251ad7716077cb93c464ddc, add(add(mulmod(scratch0, M01, F), mulmod(scratch1, M11, F)), mulmod(scratch2, M21, F)))
      state2 := add(0x119b1590f13307af5a1ee651020c07c749c15d60683a8050b963d0a8e4b2bdd1, add(add(mulmod(scratch0, M02, F), mulmod(scratch1, M12, F)), mulmod(scratch2, M22, F)))
      scratch0 := mulmod(state0, state0, F)
      state0 := mulmod(mulmod(scratch0, scratch0, F), state0, F)
      scratch0 := add(0x03150b7cd6d5d17b2529d36be0f67b832c4acfc884ef4ee5ce15be0bfb4a8d09, add(add(mulmod(state0, M00, F), mulmod(state1, M10, F)), mulmod(state2, M20, F)))
      scratch1 := add(0x2cc6182c5e14546e3cf1951f173912355374efb83d80898abe69cb317c9ea565, add(add(mulmod(state0, M01, F), mulmod(state1, M11, F)), mulmod(state2, M21, F)))
      scratch2 := add(0x005032551e6378c450cfe129a404b3764218cadedac14e2b92d2cd73111bf0f9, add(add(mulmod(state0, M02, F), mulmod(state1, M12, F)), mulmod(state2, M22, F)))
      state0 := mulmod(scratch0, scratch0, F)
      scratch0 := mulmod(mulmod(state0, state0, F), scratch0, F)
      state0 := add(0x233237e3289baa34bb147e972ebcb9516469c399fcc069fb88f9da2cc28276b5, add(add(mulmod(scratch0, M00, F), mulmod(scratch1, M10, F)), mulmod(scratch2, M20, F)))
      state1 := add(0x05c8f4f4ebd4a6e3c980d31674bfbe6323037f21b34ae5a4e80c2d4c24d60280, add(add(mulmod(scratch0, M01, F), mulmod(scratch1, M11, F)), mulmod(scratch2, M21, F)))
      state2 := add(0x0a7b1db13042d396ba05d818a319f25252bcf35ef3aeed91ee1f09b2590fc65b, add(add(mulmod(scratch0, M02, F), mulmod(scratch1, M12, F)), mulmod(scratch2, M22, F)))
      scratch0 := mulmod(state0, state0, F)
      state0 := mulmod(mulmod(scratch0, scratch0, F), state0, F)
      scratch0 := add(0x2a73b71f9b210cf5b14296572c9d32dbf156e2b086ff47dc5df542365a404ec0, add(add(mulmod(state0, M00, F), mulmod(state1, M10, F)), mulmod(state2, M20, F)))
      scratch1 := add(0x1ac9b0417abcc9a1935107e9ffc91dc3ec18f2c4dbe7f22976a760bb5c50c460, add(add(mulmod(state0, M01, F), mulmod(state1, M11, F)), mulmod(state2, M21, F)))
      scratch2 := add(0x12c0339ae08374823fabb076707ef479269f3e4d6cb104349015ee046dc93fc0, add(add(mulmod(state0, M02, F), mulmod(state1, M12, F)), mulmod(state2, M22, F)))
      state0 := mulmod(scratch0, scratch0, F)
      scratch0 := mulmod(mulmod(state0, state0, F), scratch0, F)
      state0 := add(0x0b7475b102a165ad7f5b18db4e1e704f52900aa3253baac68246682e56e9a28e, add(add(mulmod(scratch0, M00, F), mulmod(scratch1, M10, F)), mulmod(scratch2, M20, F)))
      state1 := add(0x037c2849e191ca3edb1c5e49f6e8b8917c843e379366f2ea32ab3aa88d7f8448, add(add(mulmod(scratch0, M01, F), mulmod(scratch1, M11, F)), mulmod(scratch2, M21, F)))
      state2 := add(0x05a6811f8556f014e92674661e217e9bd5206c5c93a07dc145fdb176a716346f, add(add(mulmod(scratch0, M02, F), mulmod(scratch1, M12, F)), mulmod(scratch2, M22, F)))
      scratch0 := mulmod(state0, state0, F)
      state0 := mulmod(mulmod(scratch0, scratch0, F), state0, F)
      scratch0 := add(0x29a795e7d98028946e947b75d54e9f044076e87a7b2883b47b675ef5f38bd66e, add(add(mulmod(state0, M00, F), mulmod(state1, M10, F)), mulmod(state2, M20, F)))
      scratch1 := add(0x20439a0c84b322eb45a3857afc18f5826e8c7382c8a1585c507be199981fd22f, add(add(mulmod(state0, M01, F), mulmod(state1, M11, F)), mulmod(state2, M21, F)))
      scratch2 := add(0x2e0ba8d94d9ecf4a94ec2050c7371ff1bb50f27799a84b6d4a2a6f2a0982c887, add(add(mulmod(state0, M02, F), mulmod(state1, M12, F)), mulmod(state2, M22, F)))
      state0 := mulmod(scratch0, scratch0, F)
      scratch0 := mulmod(mulmod(state0, state0, F), scratch0, F)
      state0 := add(0x143fd115ce08fb27ca38eb7cce822b4517822cd2109048d2e6d0ddcca17d71c8, add(add(mulmod(scratch0, M00, F), mulmod(scratch1, M10, F)), mulmod(scratch2, M20, F)))
      state1 := add(0x0c64cbecb1c734b857968dbbdcf813cdf8611659323dbcbfc84323623be9caf1, add(add(mulmod(scratch0, M01, F), mulmod(scratch1, M11, F)), mulmod(scratch2, M21, F)))
      state2 := add(0x028a305847c683f646fca925c163ff5ae74f348d62c2b670f1426cef9403da53, add(add(mulmod(scratch0, M02, F), mulmod(scratch1, M12, F)), mulmod(scratch2, M22, F)))
      scratch0 := mulmod(state0, state0, F)
      state0 := mulmod(mulmod(scratch0, scratch0, F), state0, F)
      scratch0 := add(0x2e4ef510ff0b6fda5fa940ab4c4380f26a6bcb64d89427b824d6755b5db9e30c, add(add(mulmod(state0, M00, F), mulmod(state1, M10, F)), mulmod(state2, M20, F)))
      scratch1 := add(0x0081c95bc43384e663d79270c956ce3b8925b4f6d033b078b96384f50579400e, add(add(mulmod(state0, M01, F), mulmod(state1, M11, F)), mulmod(state2, M21, F)))
      scratch2 := add(0x2ed5f0c91cbd9749187e2fade687e05ee2491b349c039a0bba8a9f4023a0bb38, add(add(mulmod(state0, M02, F), mulmod(state1, M12, F)), mulmod(state2, M22, F)))
      state0 := mulmod(scratch0, scratch0, F)
      scratch0 := mulmod(mulmod(state0, state0, F), scratch0, F)
      state0 := add(0x30509991f88da3504bbf374ed5aae2f03448a22c76234c8c990f01f33a735206, add(add(mulmod(scratch0, M00, F), mulmod(scratch1, M10, F)), mulmod(scratch2, M20, F)))
      state1 := add(0x1c3f20fd55409a53221b7c4d49a356b9f0a1119fb2067b41a7529094424ec6ad, add(add(mulmod(scratch0, M01, F), mulmod(scratch1, M11, F)), mulmod(scratch2, M21, F)))
      state2 := add(0x10b4e7f3ab5df003049514459b6e18eec46bb2213e8e131e170887b47ddcb96c, add(add(mulmod(scratch0, M02, F), mulmod(scratch1, M12, F)), mulmod(scratch2, M22, F)))
      scratch0 := mulmod(state0, state0, F)
      state0 := mulmod(mulmod(scratch0, scratch0, F), state0, F)
      scratch0 := add(0x2a1982979c3ff7f43ddd543d891c2abddd80f804c077d775039aa3502e43adef, add(add(mulmod(state0, M00, F), mulmod(state1, M10, F)), mulmod(state2, M20, F)))
      scratch1 := add(0x1c74ee64f15e1db6feddbead56d6d55dba431ebc396c9af95cad0f1315bd5c91, add(add(mulmod(state0, M01, F), mulmod(state1, M11, F)), mulmod(state2, M21, F)))
      scratch2 := add(0x07533ec850ba7f98eab9303cace01b4b9e4f2e8b82708cfa9c2fe45a0ae146a0, add(add(mulmod(state0, M02, F), mulmod(state1, M12, F)), mulmod(state2, M22, F)))
      state0 := mulmod(scratch0, scratch0, F)
      scratch0 := mulmod(mulmod(state0, state0, F), scratch0, F)
      state0 := add(0x21576b438e500449a151e4eeaf17b154285c68f42d42c1808a11abf3764c0750, add(add(mulmod(scratch0, M00, F), mulmod(scratch1, M10, F)), mulmod(scratch2, M20, F)))
      state1 := add(0x2f17c0559b8fe79608ad5ca193d62f10bce8384c815f0906743d6930836d4a9e, add(add(mulmod(scratch0, M01, F), mulmod(scratch1, M11, F)), mulmod(scratch2, M21, F)))
      state2 := add(0x2d477e3862d07708a79e8aae946170bc9775a4201318474ae665b0b1b7e2730e, add(add(mulmod(scratch0, M02, F), mulmod(scratch1, M12, F)), mulmod(scratch2, M22, F)))
      scratch0 := mulmod(state0, state0, F)
      state0 := mulmod(mulmod(scratch0, scratch0, F), state0, F)
      scratch0 := add(0x162f5243967064c390e095577984f291afba2266c38f5abcd89be0f5b2747eab, add(add(mulmod(state0, M00, F), mulmod(state1, M10, F)), mulmod(state2, M20, F)))
      scratch1 := add(0x2b4cb233ede9ba48264ecd2c8ae50d1ad7a8596a87f29f8a7777a70092393311, add(add(mulmod(state0, M01, F), mulmod(state1, M11, F)), mulmod(state2, M21, F)))
      scratch2 := add(0x2c8fbcb2dd8573dc1dbaf8f4622854776db2eece6d85c4cf4254e7c35e03b07a, add(add(mulmod(state0, M02, F), mulmod(state1, M12, F)), mulmod(state2, M22, F)))
      state0 := mulmod(scratch0, scratch0, F)
      scratch0 := mulmod(mulmod(state0, state0, F), scratch0, F)
      state0 := add(0x1d6f347725e4816af2ff453f0cd56b199e1b61e9f601e9ade5e88db870949da9, add(add(mulmod(scratch0, M00, F), mulmod(scratch1, M10, F)), mulmod(scratch2, M20, F)))
      state1 := add(0x204b0c397f4ebe71ebc2d8b3df5b913df9e6ac02b68d31324cd49af5c4565529, add(add(mulmod(scratch0, M01, F), mulmod(scratch1, M11, F)), mulmod(scratch2, M21, F)))
      state2 := add(0x0c4cb9dc3c4fd8174f1149b3c63c3c2f9ecb827cd7dc25534ff8fb75bc79c502, add(add(mulmod(scratch0, M02, F), mulmod(scratch1, M12, F)), mulmod(scratch2, M22, F)))
      scratch0 := mulmod(state0, state0, F)
      state0 := mulmod(mulmod(scratch0, scratch0, F), state0, F)
      scratch0 := add(0x174ad61a1448c899a25416474f4930301e5c49475279e0639a616ddc45bc7b54, add(add(mulmod(state0, M00, F), mulmod(state1, M10, F)), mulmod(state2, M20, F)))
      scratch1 := add(0x1a96177bcf4d8d89f759df4ec2f3cde2eaaa28c177cc0fa13a9816d49a38d2ef, add(add(mulmod(state0, M01, F), mulmod(state1, M11, F)), mulmod(state2, M21, F)))
      scratch2 := add(0x066d04b24331d71cd0ef8054bc60c4ff05202c126a233c1a8242ace360b8a30a, add(add(mulmod(state0, M02, F), mulmod(state1, M12, F)), mulmod(state2, M22, F)))
      state0 := mulmod(scratch0, scratch0, F)
      scratch0 := mulmod(mulmod(state0, state0, F), scratch0, F)
      state0 := add(0x2a4c4fc6ec0b0cf52195782871c6dd3b381cc65f72e02ad527037a62aa1bd804, add(add(mulmod(scratch0, M00, F), mulmod(scratch1, M10, F)), mulmod(scratch2, M20, F)))
      state1 := add(0x13ab2d136ccf37d447e9f2e14a7cedc95e727f8446f6d9d7e55afc01219fd649, add(add(mulmod(scratch0, M01, F), mulmod(scratch1, M11, F)), mulmod(scratch2, M21, F)))
      state2 := add(0x1121552fca26061619d24d843dc82769c1b04fcec26f55194c2e3e869acc6a9a, add(add(mulmod(scratch0, M02, F), mulmod(scratch1, M12, F)), mulmod(scratch2, M22, F)))
      scratch0 := mulmod(state0, state0, F)
      state0 := mulmod(mulmod(scratch0, scratch0, F), state0, F)
      scratch0 := add(0x00ef653322b13d6c889bc81715c37d77a6cd267d595c4a8909a5546c7c97cff1, add(add(mulmod(state0, M00, F), mulmod(state1, M10, F)), mulmod(state2, M20, F)))
      scratch1 := add(0x0e25483e45a665208b261d8ba74051e6400c776d652595d9845aca35d8a397d3, add(add(mulmod(state0, M01, F), mulmod(state1, M11, F)), mulmod(state2, M21, F)))
      scratch2 := add(0x29f536dcb9dd7682245264659e15d88e395ac3d4dde92d8c46448db979eeba89, add(add(mulmod(state0, M02, F), mulmod(state1, M12, F)), mulmod(state2, M22, F)))
      state0 := mulmod(scratch0, scratch0, F)
      scratch0 := mulmod(mulmod(state0, state0, F), scratch0, F)
      state0 := add(0x2a56ef9f2c53febadfda33575dbdbd885a124e2780bbea170e456baace0fa5be, add(add(mulmod(scratch0, M00, F), mulmod(scratch1, M10, F)), mulmod(scratch2, M20, F)))
      state1 := add(0x1c8361c78eb5cf5decfb7a2d17b5c409f2ae2999a46762e8ee416240a8cb9af1, add(add(mulmod(scratch0, M01, F), mulmod(scratch1, M11, F)), mulmod(scratch2, M21, F)))
      state2 := add(0x151aff5f38b20a0fc0473089aaf0206b83e8e68a764507bfd3d0ab4be74319c5, add(add(mulmod(scratch0, M02, F), mulmod(scratch1, M12, F)), mulmod(scratch2, M22, F)))
      scratch0 := mulmod(state0, state0, F)
      state0 := mulmod(mulmod(scratch0, scratch0, F), state0, F)
      scratch0 := add(0x04c6187e41ed881dc1b239c88f7f9d43a9f52fc8c8b6cdd1e76e47615b51f100, add(add(mulmod(state0, M00, F), mulmod(state1, M10, F)), mulmod(state2, M20, F)))
      scratch1 := add(0x13b37bd80f4d27fb10d84331f6fb6d534b81c61ed15776449e801b7ddc9c2967, add(add(mulmod(state0, M01, F), mulmod(state1, M11, F)), mulmod(state2, M21, F)))
      scratch2 := add(0x01a5c536273c2d9df578bfbd32c17b7a2ce3664c2a52032c9321ceb1c4e8a8e4, add(add(mulmod(state0, M02, F), mulmod(state1, M12, F)), mulmod(state2, M22, F)))
      state0 := mulmod(scratch0, scratch0, F)
      scratch0 := mulmod(mulmod(state0, state0, F), scratch0, F)
      state0 := add(0x2ab3561834ca73835ad05f5d7acb950b4a9a2c666b9726da832239065b7c3b02, add(add(mulmod(scratch0, M00, F), mulmod(scratch1, M10, F)), mulmod(scratch2, M20, F)))
      state1 := add(0x1d4d8ec291e720db200fe6d686c0d613acaf6af4e95d3bf69f7ed516a597b646, add(add(mulmod(scratch0, M01, F), mulmod(scratch1, M11, F)), mulmod(scratch2, M21, F)))
      state2 := add(0x041294d2cc484d228f5784fe7919fd2bb925351240a04b711514c9c80b65af1d, add(add(mulmod(scratch0, M02, F), mulmod(scratch1, M12, F)), mulmod(scratch2, M22, F)))
      scratch0 := mulmod(state0, state0, F)
      state0 := mulmod(mulmod(scratch0, scratch0, F), state0, F)
      scratch0 := add(0x154ac98e01708c611c4fa715991f004898f57939d126e392042971dd90e81fc6, add(add(mulmod(state0, M00, F), mulmod(state1, M10, F)), mulmod(state2, M20, F)))
      scratch1 := add(0x0b339d8acca7d4f83eedd84093aef51050b3684c88f8b0b04524563bc6ea4da4, add(add(mulmod(state0, M01, F), mulmod(state1, M11, F)), mulmod(state2, M21, F)))
      scratch2 := add(0x0955e49e6610c94254a4f84cfbab344598f0e71eaff4a7dd81ed95b50839c82e, add(add(mulmod(state0, M02, F), mulmod(state1, M12, F)), mulmod(state2, M22, F)))
      state0 := mulmod(scratch0, scratch0, F)
      scratch0 := mulmod(mulmod(state0, state0, F), scratch0, F)
      state0 := add(0x06746a6156eba54426b9e22206f15abca9a6f41e6f535c6f3525401ea0654626, add(add(mulmod(scratch0, M00, F), mulmod(scratch1, M10, F)), mulmod(scratch2, M20, F)))
      state1 := add(0x0f18f5a0ecd1423c496f3820c549c27838e5790e2bd0a196ac917c7ff32077fb, add(add(mulmod(scratch0, M01, F), mulmod(scratch1, M11, F)), mulmod(scratch2, M21, F)))
      state2 := add(0x04f6eeca1751f7308ac59eff5beb261e4bb563583ede7bc92a738223d6f76e13, add(add(mulmod(scratch0, M02, F), mulmod(scratch1, M12, F)), mulmod(scratch2, M22, F)))
      scratch0 := mulmod(state0, state0, F)
      state0 := mulmod(mulmod(scratch0, scratch0, F), state0, F)
      scratch0 := add(0x2b56973364c4c4f5c1a3ec4da3cdce038811eb116fb3e45bc1768d26fc0b3758, add(add(mulmod(state0, M00, F), mulmod(state1, M10, F)), mulmod(state2, M20, F)))
      scratch1 := add(0x123769dd49d5b054dcd76b89804b1bcb8e1392b385716a5d83feb65d437f29ef, add(add(mulmod(state0, M01, F), mulmod(state1, M11, F)), mulmod(state2, M21, F)))
      scratch2 := add(0x2147b424fc48c80a88ee52b91169aacea989f6446471150994257b2fb01c63e9, add(add(mulmod(state0, M02, F), mulmod(state1, M12, F)), mulmod(state2, M22, F)))
      state0 := mulmod(scratch0, scratch0, F)
      scratch0 := mulmod(mulmod(state0, state0, F), scratch0, F)
      state0 := add(0x0fdc1f58548b85701a6c5505ea332a29647e6f34ad4243c2ea54ad897cebe54d, add(add(mulmod(scratch0, M00, F), mulmod(scratch1, M10, F)), mulmod(scratch2, M20, F)))
      state1 := add(0x12373a8251fea004df68abcf0f7786d4bceff28c5dbbe0c3944f685cc0a0b1f2, add(add(mulmod(scratch0, M01, F), mulmod(scratch1, M11, F)), mulmod(scratch2, M21, F)))
      state2 := add(0x21e4f4ea5f35f85bad7ea52ff742c9e8a642756b6af44203dd8a1f35c1a90035, add(add(mulmod(scratch0, M02, F), mulmod(scratch1, M12, F)), mulmod(scratch2, M22, F)))
      scratch0 := mulmod(state0, state0, F)
      state0 := mulmod(mulmod(scratch0, scratch0, F), state0, F)
      scratch0 := add(0x16243916d69d2ca3dfb4722224d4c462b57366492f45e90d8a81934f1bc3b147, add(add(mulmod(state0, M00, F), mulmod(state1, M10, F)), mulmod(state2, M20, F)))
      scratch1 := add(0x1efbe46dd7a578b4f66f9adbc88b4378abc21566e1a0453ca13a4159cac04ac2, add(add(mulmod(state0, M01, F), mulmod(state1, M11, F)), mulmod(state2, M21, F)))
      scratch2 := add(0x07ea5e8537cf5dd08886020e23a7f387d468d5525be66f853b672cc96a88969a, add(add(mulmod(state0, M02, F), mulmod(state1, M12, F)), mulmod(state2, M22, F)))
      state0 := mulmod(scratch0, scratch0, F)
      scratch0 := mulmod(mulmod(state0, state0, F), scratch0, F)
      state0 := add(0x05a8c4f9968b8aa3b7b478a30f9a5b63650f19a75e7ce11ca9fe16c0b76c00bc, add(add(mulmod(scratch0, M00, F), mulmod(scratch1, M10, F)), mulmod(scratch2, M20, F)))
      state1 := add(0x20f057712cc21654fbfe59bd345e8dac3f7818c701b9c7882d9d57b72a32e83f, add(add(mulmod(scratch0, M01, F), mulmod(scratch1, M11, F)), mulmod(scratch2, M21, F)))
      state2 := add(0x04a12ededa9dfd689672f8c67fee31636dcd8e88d01d49019bd90b33eb33db69, add(add(mulmod(scratch0, M02, F), mulmod(scratch1, M12, F)), mulmod(scratch2, M22, F)))
      scratch0 := mulmod(state0, state0, F)
      state0 := mulmod(mulmod(scratch0, scratch0, F), state0, F)
      scratch0 := add(0x27e88d8c15f37dcee44f1e5425a51decbd136ce5091a6767e49ec9544ccd101a, add(add(mulmod(state0, M00, F), mulmod(state1, M10, F)), mulmod(state2, M20, F)))
      scratch1 := add(0x2feed17b84285ed9b8a5c8c5e95a41f66e096619a7703223176c41ee433de4d1, add(add(mulmod(state0, M01, F), mulmod(state1, M11, F)), mulmod(state2, M21, F)))
      scratch2 := add(0x1ed7cc76edf45c7c404241420f729cf394e5942911312a0d6972b8bd53aff2b8, add(add(mulmod(state0, M02, F), mulmod(state1, M12, F)), mulmod(state2, M22, F)))
      state0 := mulmod(scratch0, scratch0, F)
      scratch0 := mulmod(mulmod(state0, state0, F), scratch0, F)
      state0 := add(0x15742e99b9bfa323157ff8c586f5660eac6783476144cdcadf2874be45466b1a, add(add(mulmod(scratch0, M00, F), mulmod(scratch1, M10, F)), mulmod(scratch2, M20, F)))
      state1 := add(0x1aac285387f65e82c895fc6887ddf40577107454c6ec0317284f033f27d0c785, add(add(mulmod(scratch0, M01, F), mulmod(scratch1, M11, F)), mulmod(scratch2, M21, F)))
      state2 := add(0x25851c3c845d4790f9ddadbdb6057357832e2e7a49775f71ec75a96554d67c77, add(add(mulmod(scratch0, M02, F), mulmod(scratch1, M12, F)), mulmod(scratch2, M22, F)))
      scratch0 := mulmod(state0, state0, F)
      state0 := mulmod(mulmod(scratch0, scratch0, F), state0, F)
      scratch0 := add(0x15a5821565cc2ec2ce78457db197edf353b7ebba2c5523370ddccc3d9f146a67, add(add(mulmod(state0, M00, F), mulmod(state1, M10, F)), mulmod(state2, M20, F)))
      scratch1 := add(0x2411d57a4813b9980efa7e31a1db5966dcf64f36044277502f15485f28c71727, add(add(mulmod(state0, M01, F), mulmod(state1, M11, F)), mulmod(state2, M21, F)))
      scratch2 := add(0x002e6f8d6520cd4713e335b8c0b6d2e647e9a98e12f4cd2558828b5ef6cb4c9b, add(add(mulmod(state0, M02, F), mulmod(state1, M12, F)), mulmod(state2, M22, F)))
      state0 := mulmod(scratch0, scratch0, F)
      scratch0 := mulmod(mulmod(state0, state0, F), scratch0, F)
      state0 := add(0x2ff7bc8f4380cde997da00b616b0fcd1af8f0e91e2fe1ed7398834609e0315d2, add(add(mulmod(scratch0, M00, F), mulmod(scratch1, M10, F)), mulmod(scratch2, M20, F)))
      state1 := add(0x00b9831b948525595ee02724471bcd182e9521f6b7bb68f1e93be4febb0d3cbe, add(add(mulmod(scratch0, M01, F), mulmod(scratch1, M11, F)), mulmod(scratch2, M21, F)))
      state2 := add(0x0a2f53768b8ebf6a86913b0e57c04e011ca408648a4743a87d77adbf0c9c3512, add(add(mulmod(scratch0, M02, F), mulmod(scratch1, M12, F)), mulmod(scratch2, M22, F)))
      scratch0 := mulmod(state0, state0, F)
      state0 := mulmod(mulmod(scratch0, scratch0, F), state0, F)
      scratch0 := add(0x00248156142fd0373a479f91ff239e960f599ff7e94be69b7f2a290305e1198d, add(add(mulmod(state0, M00, F), mulmod(state1, M10, F)), mulmod(state2, M20, F)))
      scratch1 := add(0x171d5620b87bfb1328cf8c02ab3f0c9a397196aa6a542c2350eb512a2b2bcda9, add(add(mulmod(state0, M01, F), mulmod(state1, M11, F)), mulmod(state2, M21, F)))
      scratch2 := add(0x170a4f55536f7dc970087c7c10d6fad760c952172dd54dd99d1045e4ec34a808, add(add(mulmod(state0, M02, F), mulmod(state1, M12, F)), mulmod(state2, M22, F)))
      state0 := mulmod(scratch0, scratch0, F)
      scratch0 := mulmod(mulmod(state0, state0, F), scratch0, F)
      state0 := add(0x29aba33f799fe66c2ef3134aea04336ecc37e38c1cd211ba482eca17e2dbfae1, add(add(mulmod(scratch0, M00, F), mulmod(scratch1, M10, F)), mulmod(scratch2, M20, F)))
      state1 := add(0x1e9bc179a4fdd758fdd1bb1945088d47e70d114a03f6a0e8b5ba650369e64973, add(add(mulmod(scratch0, M01, F), mulmod(scratch1, M11, F)), mulmod(scratch2, M21, F)))
      state2 := add(0x1dd269799b660fad58f7f4892dfb0b5afeaad869a9c4b44f9c9e1c43bdaf8f09, add(add(mulmod(scratch0, M02, F), mulmod(scratch1, M12, F)), mulmod(scratch2, M22, F)))
      scratch0 := mulmod(state0, state0, F)
      state0 := mulmod(mulmod(scratch0, scratch0, F), state0, F)
      scratch0 := add(0x22cdbc8b70117ad1401181d02e15459e7ccd426fe869c7c95d1dd2cb0f24af38, add(add(mulmod(state0, M00, F), mulmod(state1, M10, F)), mulmod(state2, M20, F)))
      scratch1 := add(0x0ef042e454771c533a9f57a55c503fcefd3150f52ed94a7cd5ba93b9c7dacefd, add(add(mulmod(state0, M01, F), mulmod(state1, M11, F)), mulmod(state2, M21, F)))
      scratch2 := add(0x11609e06ad6c8fe2f287f3036037e8851318e8b08a0359a03b304ffca62e8284, add(add(mulmod(state0, M02, F), mulmod(state1, M12, F)), mulmod(state2, M22, F)))
      state0 := mulmod(scratch0, scratch0, F)
      scratch0 := mulmod(mulmod(state0, state0, F), scratch0, F)
      state0 := add(0x1166d9e554616dba9e753eea427c17b7fecd58c076dfe42708b08f5b783aa9af, add(add(mulmod(scratch0, M00, F), mulmod(scratch1, M10, F)), mulmod(scratch2, M20, F)))
      state1 := add(0x2de52989431a859593413026354413db177fbf4cd2ac0b56f855a888357ee466, add(add(mulmod(scratch0, M01, F), mulmod(scratch1, M11, F)), mulmod(scratch2, M21, F)))
      state2 := add(0x3006eb4ffc7a85819a6da492f3a8ac1df51aee5b17b8e89d74bf01cf5f71e9ad, add(add(mulmod(scratch0, M02, F), mulmod(scratch1, M12, F)), mulmod(scratch2, M22, F)))
      scratch0 := mulmod(state0, state0, F)
      state0 := mulmod(mulmod(scratch0, scratch0, F), state0, F)
      scratch0 := add(0x2af41fbb61ba8a80fdcf6fff9e3f6f422993fe8f0a4639f962344c8225145086, add(add(mulmod(state0, M00, F), mulmod(state1, M10, F)), mulmod(state2, M20, F)))
      scratch1 := add(0x119e684de476155fe5a6b41a8ebc85db8718ab27889e85e781b214bace4827c3, add(add(mulmod(state0, M01, F), mulmod(state1, M11, F)), mulmod(state2, M21, F)))
      scratch2 := add(0x1835b786e2e8925e188bea59ae363537b51248c23828f047cff784b97b3fd800, add(add(mulmod(state0, M02, F), mulmod(state1, M12, F)), mulmod(state2, M22, F)))
      state0 := mulmod(scratch0, scratch0, F)
      scratch0 := mulmod(mulmod(state0, state0, F), scratch0, F)
      state0 := add(0x28201a34c594dfa34d794996c6433a20d152bac2a7905c926c40e285ab32eeb6, add(add(mulmod(scratch0, M00, F), mulmod(scratch1, M10, F)), mulmod(scratch2, M20, F)))
      state1 := add(0x083efd7a27d1751094e80fefaf78b000864c82eb571187724a761f88c22cc4e7, add(add(mulmod(scratch0, M01, F), mulmod(scratch1, M11, F)), mulmod(scratch2, M21, F)))
      state2 := add(0x0b6f88a3577199526158e61ceea27be811c16df7774dd8519e079564f61fd13b, add(add(mulmod(scratch0, M02, F), mulmod(scratch1, M12, F)), mulmod(scratch2, M22, F)))
      scratch0 := mulmod(state0, state0, F)
      state0 := mulmod(mulmod(scratch0, scratch0, F), state0, F)
      scratch0 := add(0x0ec868e6d15e51d9644f66e1d6471a94589511ca00d29e1014390e6ee4254f5b, add(add(mulmod(state0, M00, F), mulmod(state1, M10, F)), mulmod(state2, M20, F)))
      scratch1 := add(0x2af33e3f866771271ac0c9b3ed2e1142ecd3e74b939cd40d00d937ab84c98591, add(add(mulmod(state0, M01, F), mulmod(state1, M11, F)), mulmod(state2, M21, F)))
      scratch2 := add(0x0b520211f904b5e7d09b5d961c6ace7734568c547dd6858b364ce5e47951f178, add(add(mulmod(state0, M02, F), mulmod(state1, M12, F)), mulmod(state2, M22, F)))
      state0 := mulmod(scratch0, scratch0, F)
      scratch0 := mulmod(mulmod(state0, state0, F), scratch0, F)
      state0 := add(0x0b2d722d0919a1aad8db58f10062a92ea0c56ac4270e822cca228620188a1d40, add(add(mulmod(scratch0, M00, F), mulmod(scratch1, M10, F)), mulmod(scratch2, M20, F)))
      state1 := add(0x1f790d4d7f8cf094d980ceb37c2453e957b54a9991ca38bbe0061d1ed6e562d4, add(add(mulmod(scratch0, M01, F), mulmod(scratch1, M11, F)), mulmod(scratch2, M21, F)))
      state2 := add(0x0171eb95dfbf7d1eaea97cd385f780150885c16235a2a6a8da92ceb01e504233, add(add(mulmod(scratch0, M02, F), mulmod(scratch1, M12, F)), mulmod(scratch2, M22, F)))
      scratch0 := mulmod(state0, state0, F)
      state0 := mulmod(mulmod(scratch0, scratch0, F), state0, F)
      scratch0 := add(0x0c2d0e3b5fd57549329bf6885da66b9b790b40defd2c8650762305381b168873, add(add(mulmod(state0, M00, F), mulmod(state1, M10, F)), mulmod(state2, M20, F)))
      scratch1 := add(0x1162fb28689c27154e5a8228b4e72b377cbcafa589e283c35d3803054407a18d, add(add(mulmod(state0, M01, F), mulmod(state1, M11, F)), mulmod(state2, M21, F)))
      scratch2 := add(0x2f1459b65dee441b64ad386a91e8310f282c5a92a89e19921623ef8249711bc0, add(add(mulmod(state0, M02, F), mulmod(state1, M12, F)), mulmod(state2, M22, F)))
      state0 := mulmod(scratch0, scratch0, F)
      scratch0 := mulmod(mulmod(state0, state0, F), scratch0, F)
      state0 := add(0x1e6ff3216b688c3d996d74367d5cd4c1bc489d46754eb712c243f70d1b53cfbb, add(add(mulmod(scratch0, M00, F), mulmod(scratch1, M10, F)), mulmod(scratch2, M20, F)))
      state1 := add(0x01ca8be73832b8d0681487d27d157802d741a6f36cdc2a0576881f9326478875, add(add(mulmod(scratch0, M01, F), mulmod(scratch1, M11, F)), mulmod(scratch2, M21, F)))
      state2 := add(0x1f7735706ffe9fc586f976d5bdf223dc680286080b10cea00b9b5de315f9650e, add(add(mulmod(scratch0, M02, F), mulmod(scratch1, M12, F)), mulmod(scratch2, M22, F)))
      scratch0 := mulmod(state0, state0, F)
      state0 := mulmod(mulmod(scratch0, scratch0, F), state0, F)
      scratch0 := add(0x2522b60f4ea3307640a0c2dce041fba921ac10a3d5f096ef4745ca838285f019, add(add(mulmod(state0, M00, F), mulmod(state1, M10, F)), mulmod(state2, M20, F)))
      scratch1 := add(0x23f0bee001b1029d5255075ddc957f833418cad4f52b6c3f8ce16c235572575b, add(add(mulmod(state0, M01, F), mulmod(state1, M11, F)), mulmod(state2, M21, F)))
      scratch2 := add(0x2bc1ae8b8ddbb81fcaac2d44555ed5685d142633e9df905f66d9401093082d59, add(add(mulmod(state0, M02, F), mulmod(state1, M12, F)), mulmod(state2, M22, F)))
      state0 := mulmod(scratch0, scratch0, F)
      scratch0 := mulmod(mulmod(state0, state0, F), scratch0, F)
      state0 := add(0x0f9406b8296564a37304507b8dba3ed162371273a07b1fc98011fcd6ad72205f, add(add(mulmod(scratch0, M00, F), mulmod(scratch1, M10, F)), mulmod(scratch2, M20, F)))
      state1 := add(0x2360a8eb0cc7defa67b72998de90714e17e75b174a52ee4acb126c8cd995f0a8, add(add(mulmod(scratch0, M01, F), mulmod(scratch1, M11, F)), mulmod(scratch2, M21, F)))
      state2 := add(0x15871a5cddead976804c803cbaef255eb4815a5e96df8b006dcbbc2767f88948, add(add(mulmod(scratch0, M02, F), mulmod(scratch1, M12, F)), mulmod(scratch2, M22, F)))
      scratch0 := mulmod(state0, state0, F)
      state0 := mulmod(mulmod(scratch0, scratch0, F), state0, F)
      scratch0 := add(0x193a56766998ee9e0a8652dd2f3b1da0362f4f54f72379544f957ccdeefb420f, add(add(mulmod(state0, M00, F), mulmod(state1, M10, F)), mulmod(state2, M20, F)))
      scratch1 := add(0x2a394a43934f86982f9be56ff4fab1703b2e63c8ad334834e4309805e777ae0f, add(add(mulmod(state0, M01, F), mulmod(state1, M11, F)), mulmod(state2, M21, F)))
      scratch2 := add(0x1859954cfeb8695f3e8b635dcb345192892cd11223443ba7b4166e8876c0d142, add(add(mulmod(state0, M02, F), mulmod(state1, M12, F)), mulmod(state2, M22, F)))
      state0 := mulmod(scratch0, scratch0, F)
      scratch0 := mulmod(mulmod(state0, state0, F), scratch0, F)
      state0 := add(0x04e1181763050e58013444dbcb99f1902b11bc25d90bbdca408d3819f4fed32b, add(add(mulmod(scratch0, M00, F), mulmod(scratch1, M10, F)), mulmod(scratch2, M20, F)))
      state1 := add(0x0fdb253dee83869d40c335ea64de8c5bb10eb82db08b5e8b1f5e5552bfd05f23, add(add(mulmod(scratch0, M01, F), mulmod(scratch1, M11, F)), mulmod(scratch2, M21, F)))
      state2 := add(0x058cbe8a9a5027bdaa4efb623adead6275f08686f1c08984a9d7c5bae9b4f1c0, add(add(mulmod(scratch0, M02, F), mulmod(scratch1, M12, F)), mulmod(scratch2, M22, F)))
      scratch0 := mulmod(state0, state0, F)
      state0 := mulmod(mulmod(scratch0, scratch0, F), state0, F)
      scratch0 := add(0x1382edce9971e186497eadb1aeb1f52b23b4b83bef023ab0d15228b4cceca59a, add(add(mulmod(state0, M00, F), mulmod(state1, M10, F)), mulmod(state2, M20, F)))
      scratch1 := add(0x03464990f045c6ee0819ca51fd11b0be7f61b8eb99f14b77e1e6634601d9e8b5, add(add(mulmod(state0, M01, F), mulmod(state1, M11, F)), mulmod(state2, M21, F)))
      scratch2 := add(0x23f7bfc8720dc296fff33b41f98ff83c6fcab4605db2eb5aaa5bc137aeb70a58, add(add(mulmod(state0, M02, F), mulmod(state1, M12, F)), mulmod(state2, M22, F)))
      state0 := mulmod(scratch0, scratch0, F)
      scratch0 := mulmod(mulmod(state0, state0, F), scratch0, F)
      state0 := add(0x0a59a158e3eec2117e6e94e7f0e9decf18c3ffd5e1531a9219636158bbaf62f2, add(add(mulmod(scratch0, M00, F), mulmod(scratch1, M10, F)), mulmod(scratch2, M20, F)))
      state1 := add(0x06ec54c80381c052b58bf23b312ffd3ce2c4eba065420af8f4c23ed0075fd07b, add(add(mulmod(scratch0, M01, F), mulmod(scratch1, M11, F)), mulmod(scratch2, M21, F)))
      state2 := add(0x118872dc832e0eb5476b56648e867ec8b09340f7a7bcb1b4962f0ff9ed1f9d01, add(add(mulmod(scratch0, M02, F), mulmod(scratch1, M12, F)), mulmod(scratch2, M22, F)))
      scratch0 := mulmod(state0, state0, F)
      state0 := mulmod(mulmod(scratch0, scratch0, F), state0, F)
      scratch0 := add(0x13d69fa127d834165ad5c7cba7ad59ed52e0b0f0e42d7fea95e1906b520921b1, add(add(mulmod(state0, M00, F), mulmod(state1, M10, F)), mulmod(state2, M20, F)))
      scratch1 := add(0x169a177f63ea681270b1c6877a73d21bde143942fb71dc55fd8a49f19f10c77b, add(add(mulmod(state0, M01, F), mulmod(state1, M11, F)), mulmod(state2, M21, F)))
      scratch2 := add(0x04ef51591c6ead97ef42f287adce40d93abeb032b922f66ffb7e9a5a7450544d, add(add(mulmod(state0, M02, F), mulmod(state1, M12, F)), mulmod(state2, M22, F)))
      state0 := mulmod(scratch0, scratch0, F)
      scratch0 := mulmod(mulmod(state0, state0, F), scratch0, F)
      state0 := add(0x256e175a1dc079390ecd7ca703fb2e3b19ec61805d4f03ced5f45ee6dd0f69ec, add(add(mulmod(scratch0, M00, F), mulmod(scratch1, M10, F)), mulmod(scratch2, M20, F)))
      state1 := add(0x30102d28636abd5fe5f2af412ff6004f75cc360d3205dd2da002813d3e2ceeb2, add(add(mulmod(scratch0, M01, F), mulmod(scratch1, M11, F)), mulmod(scratch2, M21, F)))
      state2 := add(0x10998e42dfcd3bbf1c0714bc73eb1bf40443a3fa99bef4a31fd31be182fcc792, add(add(mulmod(scratch0, M02, F), mulmod(scratch1, M12, F)), mulmod(scratch2, M22, F)))
      scratch0 := mulmod(state0, state0, F)
      state0 := mulmod(mulmod(scratch0, scratch0, F), state0, F)
      scratch0 := add(0x193edd8e9fcf3d7625fa7d24b598a1d89f3362eaf4d582efecad76f879e36860, add(add(mulmod(state0, M00, F), mulmod(state1, M10, F)), mulmod(state2, M20, F)))
      scratch1 := add(0x18168afd34f2d915d0368ce80b7b3347d1c7a561ce611425f2664d7aa51f0b5d, add(add(mulmod(state0, M01, F), mulmod(state1, M11, F)), mulmod(state2, M21, F)))
      scratch2 := add(0x29383c01ebd3b6ab0c017656ebe658b6a328ec77bc33626e29e2e95b33ea6111, add(add(mulmod(state0, M02, F), mulmod(state1, M12, F)), mulmod(state2, M22, F)))
      state0 := mulmod(scratch0, scratch0, F)
      scratch0 := mulmod(mulmod(state0, state0, F), scratch0, F)
      state0 := add(0x10646d2f2603de39a1f4ae5e7771a64a702db6e86fb76ab600bf573f9010c711, add(add(mulmod(scratch0, M00, F), mulmod(scratch1, M10, F)), mulmod(scratch2, M20, F)))
      state1 := add(0x0beb5e07d1b27145f575f1395a55bf132f90c25b40da7b3864d0242dcb1117fb, add(add(mulmod(scratch0, M01, F), mulmod(scratch1, M11, F)), mulmod(scratch2, M21, F)))
      state2 := add(0x16d685252078c133dc0d3ecad62b5c8830f95bb2e54b59abdffbf018d96fa336, add(add(mulmod(scratch0, M02, F), mulmod(scratch1, M12, F)), mulmod(scratch2, M22, F)))
      scratch0 := mulmod(state0, state0, F)
      state0 := mulmod(mulmod(scratch0, scratch0, F), state0, F)
      scratch0 := add(0x0a6abd1d833938f33c74154e0404b4b40a555bbbec21ddfafd672dd62047f01a, add(add(mulmod(state0, M00, F), mulmod(state1, M10, F)), mulmod(state2, M20, F)))
      scratch1 := add(0x1a679f5d36eb7b5c8ea12a4c2dedc8feb12dffeec450317270a6f19b34cf1860, add(add(mulmod(state0, M01, F), mulmod(state1, M11, F)), mulmod(state2, M21, F)))
      scratch2 := add(0x0980fb233bd456c23974d50e0ebfde4726a423eada4e8f6ffbc7592e3f1b93d6, add(add(mulmod(state0, M02, F), mulmod(state1, M12, F)), mulmod(state2, M22, F)))
      state0 := mulmod(scratch0, scratch0, F)
      scratch0 := mulmod(mulmod(state0, state0, F), scratch0, F)
      state0 := add(0x161b42232e61b84cbf1810af93a38fc0cece3d5628c9282003ebacb5c312c72b, add(add(mulmod(scratch0, M00, F), mulmod(scratch1, M10, F)), mulmod(scratch2, M20, F)))
      state1 := add(0x0ada10a90c7f0520950f7d47a60d5e6a493f09787f1564e5d09203db47de1a0b, add(add(mulmod(scratch0, M01, F), mulmod(scratch1, M11, F)), mulmod(scratch2, M21, F)))
      state2 := add(0x1a730d372310ba82320345a29ac4238ed3f07a8a2b4e121bb50ddb9af407f451, add(add(mulmod(scratch0, M02, F), mulmod(scratch1, M12, F)), mulmod(scratch2, M22, F)))
      scratch0 := mulmod(state0, state0, F)
      state0 := mulmod(mulmod(scratch0, scratch0, F), state0, F)
      scratch0 := add(0x2c8120f268ef054f817064c369dda7ea908377feaba5c4dffbda10ef58e8c556, add(add(mulmod(state0, M00, F), mulmod(state1, M10, F)), mulmod(state2, M20, F)))
      scratch1 := add(0x1c7c8824f758753fa57c00789c684217b930e95313bcb73e6e7b8649a4968f70, add(add(mulmod(state0, M01, F), mulmod(state1, M11, F)), mulmod(state2, M21, F)))
      scratch2 := add(0x2cd9ed31f5f8691c8e39e4077a74faa0f400ad8b491eb3f7b47b27fa3fd1cf77, add(add(mulmod(state0, M02, F), mulmod(state1, M12, F)), mulmod(state2, M22, F)))
      state0 := mulmod(scratch0, scratch0, F)
      scratch0 := mulmod(mulmod(state0, state0, F), scratch0, F)
      state0 := add(0x23ff4f9d46813457cf60d92f57618399a5e022ac321ca550854ae23918a22eea, add(add(mulmod(scratch0, M00, F), mulmod(scratch1, M10, F)), mulmod(scratch2, M20, F)))
      state1 := add(0x09945a5d147a4f66ceece6405dddd9d0af5a2c5103529407dff1ea58f180426d, add(add(mulmod(scratch0, M01, F), mulmod(scratch1, M11, F)), mulmod(scratch2, M21, F)))
      state2 := add(0x188d9c528025d4c2b67660c6b771b90f7c7da6eaa29d3f268a6dd223ec6fc630, add(add(mulmod(scratch0, M02, F), mulmod(scratch1, M12, F)), mulmod(scratch2, M22, F)))
      scratch0 := mulmod(state0, state0, F)
      state0 := mulmod(mulmod(scratch0, scratch0, F), state0, F)
      scratch0 := add(0x3050e37996596b7f81f68311431d8734dba7d926d3633595e0c0d8ddf4f0f47f, add(add(mulmod(state0, M00, F), mulmod(state1, M10, F)), mulmod(state2, M20, F)))
      scratch1 := add(0x15af1169396830a91600ca8102c35c426ceae5461e3f95d89d829518d30afd78, add(add(mulmod(state0, M01, F), mulmod(state1, M11, F)), mulmod(state2, M21, F)))
      scratch2 := add(0x1da6d09885432ea9a06d9f37f873d985dae933e351466b2904284da3320d8acc, add(add(mulmod(state0, M02, F), mulmod(state1, M12, F)), mulmod(state2, M22, F)))
      state0 := mulmod(scratch0, scratch0, F)
      scratch0 := mulmod(mulmod(state0, state0, F), scratch0, F)
      state0 := add(0x2796ea90d269af29f5f8acf33921124e4e4fad3dbe658945e546ee411ddaa9cb, add(add(mulmod(scratch0, M00, F), mulmod(scratch1, M10, F)), mulmod(scratch2, M20, F)))
      state1 := add(0x202d7dd1da0f6b4b0325c8b3307742f01e15612ec8e9304a7cb0319e01d32d60, add(add(mulmod(scratch0, M01, F), mulmod(scratch1, M11, F)), mulmod(scratch2, M21, F)))
      state2 := add(0x096d6790d05bb759156a952ba263d672a2d7f9c788f4c831a29dace4c0f8be5f, add(add(mulmod(scratch0, M02, F), mulmod(scratch1, M12, F)), mulmod(scratch2, M22, F)))
      scratch0 := mulmod(state0, state0, F)
      state0 := mulmod(mulmod(scratch0, scratch0, F), state0, F)
      scratch0 := add(0x054efa1f65b0fce283808965275d877b438da23ce5b13e1963798cb1447d25a4, add(add(mulmod(state0, M00, F), mulmod(state1, M10, F)), mulmod(state2, M20, F)))
      scratch1 := add(0x1b162f83d917e93edb3308c29802deb9d8aa690113b2e14864ccf6e18e4165f1, add(add(mulmod(state0, M01, F), mulmod(state1, M11, F)), mulmod(state2, M21, F)))
      scratch2 := add(0x21e5241e12564dd6fd9f1cdd2a0de39eedfefc1466cc568ec5ceb745a0506edc, add(add(mulmod(state0, M02, F), mulmod(state1, M12, F)), mulmod(state2, M22, F)))
      state0 := mulmod(scratch0, scratch0, F)
      scratch0 := mulmod(mulmod(state0, state0, F), scratch0, F)
      state0 := mulmod(scratch1, scratch1, F)
      scratch1 := mulmod(mulmod(state0, state0, F), scratch1, F)
      state0 := mulmod(scratch2, scratch2, F)
      scratch2 := mulmod(mulmod(state0, state0, F), scratch2, F)
      state0 := add(0x1cfb5662e8cf5ac9226a80ee17b36abecb73ab5f87e161927b4349e10e4bdf08, add(add(mulmod(scratch0, M00, F), mulmod(scratch1, M10, F)), mulmod(scratch2, M20, F)))
      state1 := add(0x0f21177e302a771bbae6d8d1ecb373b62c99af346220ac0129c53f666eb24100, add(add(mulmod(scratch0, M01, F), mulmod(scratch1, M11, F)), mulmod(scratch2, M21, F)))
      state2 := add(0x1671522374606992affb0dd7f71b12bec4236aede6290546bcef7e1f515c2320, add(add(mulmod(scratch0, M02, F), mulmod(scratch1, M12, F)), mulmod(scratch2, M22, F)))
      scratch0 := mulmod(state0, state0, F)
      state0 := mulmod(mulmod(scratch0, scratch0, F), state0, F)
      scratch0 := mulmod(state1, state1, F)
      state1 := mulmod(mulmod(scratch0, scratch0, F), state1, F)
      scratch0 := mulmod(state2, state2, F)
      state2 := mulmod(mulmod(scratch0, scratch0, F), state2, F)
      scratch0 := add(0x0fa3ec5b9488259c2eb4cf24501bfad9be2ec9e42c5cc8ccd419d2a692cad870, add(add(mulmod(state0, M00, F), mulmod(state1, M10, F)), mulmod(state2, M20, F)))
      scratch1 := add(0x193c0e04e0bd298357cb266c1506080ed36edce85c648cc085e8c57b1ab54bba, add(add(mulmod(state0, M01, F), mulmod(state1, M11, F)), mulmod(state2, M21, F)))
      scratch2 := add(0x102adf8ef74735a27e9128306dcbc3c99f6f7291cd406578ce14ea2adaba68f8, add(add(mulmod(state0, M02, F), mulmod(state1, M12, F)), mulmod(state2, M22, F)))
      state0 := mulmod(scratch0, scratch0, F)
      scratch0 := mulmod(mulmod(state0, state0, F), scratch0, F)
      state0 := mulmod(scratch1, scratch1, F)
      scratch1 := mulmod(mulmod(state0, state0, F), scratch1, F)
      state0 := mulmod(scratch2, scratch2, F)
      scratch2 := mulmod(mulmod(state0, state0, F), scratch2, F)
      state0 := add(0x0fe0af7858e49859e2a54d6f1ad945b1316aa24bfbdd23ae40a6d0cb70c3eab1, add(add(mulmod(scratch0, M00, F), mulmod(scratch1, M10, F)), mulmod(scratch2, M20, F)))
      state1 := add(0x216f6717bbc7dedb08536a2220843f4e2da5f1daa9ebdefde8a5ea7344798d22, add(add(mulmod(scratch0, M01, F), mulmod(scratch1, M11, F)), mulmod(scratch2, M21, F)))
      state2 := add(0x1da55cc900f0d21f4a3e694391918a1b3c23b2ac773c6b3ef88e2e4228325161, add(add(mulmod(scratch0, M02, F), mulmod(scratch1, M12, F)), mulmod(scratch2, M22, F)))
      scratch0 := mulmod(state0, state0, F)
      state0 := mulmod(mulmod(scratch0, scratch0, F), state0, F)
      scratch0 := mulmod(state1, state1, F)
      state1 := mulmod(mulmod(scratch0, scratch0, F), state1, F)
      scratch0 := mulmod(state2, state2, F)
      state2 := mulmod(mulmod(scratch0, scratch0, F), state2, F)

      mstore(0x0, mod(add(add(mulmod(state0, M00, F), mulmod(state1, M10, F)), mulmod(state2, M20, F)), F))

      return(0, 0x20)
    }
  }
}

{
  "optimizer": {
    "enabled": true,
    "runs": 1000
  },
  "evmVersion": "cancun",
  "outputSelection": {
    "*": {
      "*": [
        "evm.bytecode",
        "evm.deployedBytecode",
        "devdoc",
        "userdoc",
        "metadata",
        "abi"
      ]
    }
  },
  "libraries": {
    "contracts/evm/GigaBridge.sol": {
      "LazyIMT": "0x59dd83818a2d4c1c1112f163e9bf1dd5792745de"
    }
  }
}

[{"inputs":[{"internalType":"address[]","name":"_gigaRootRecipients","type":"address[]"},{"internalType":"uint8","name":"_maxTreeDepth","type":"uint8"}],"stateMutability":"nonpayable","type":"constructor"},{"anonymous":false,"inputs":[{"indexed":true,"internalType":"uint256","name":"newGigaRoot","type":"uint256"}],"name":"ConstructedNewGigaRoot","type":"event"},{"anonymous":false,"inputs":[{"indexed":true,"internalType":"uint256","name":"newLocalRoot","type":"uint256"},{"indexed":true,"internalType":"uint40","name":"localRootIndex","type":"uint40"},{"indexed":false,"internalType":"uint256","name":"localRootBlockNumber","type":"uint256"}],"name":"ReceivedNewLocalRoot","type":"event"},{"anonymous":false,"inputs":[{"indexed":true,"internalType":"uint256","name":"gigaRoot","type":"uint256"}],"name":"SentGigaRoot","type":"event"},{"inputs":[],"name":"amountOfLocalRoots","outputs":[{"internalType":"uint256","name":"","type":"uint256"}],"stateMutability":"view","type":"function"},{"inputs":[{"internalType":"address","name":"_localRootProvider","type":"address"}],"name":"getLocalRootProvidersIndex","outputs":[{"internalType":"uint40","name":"","type":"uint40"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"gigaRoot","outputs":[{"internalType":"uint256","name":"","type":"uint256"}],"stateMutability":"view","type":"function"},{"inputs":[{"internalType":"address","name":"_localRootProvider","type":"address"}],"name":"isLocalRootProviders","outputs":[{"internalType":"bool","name":"","type":"bool"}],"stateMutability":"view","type":"function"},{"inputs":[{"internalType":"address","name":"","type":"address"}],"name":"localRootBlockNumbers","outputs":[{"internalType":"uint256","name":"","type":"uint256"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"maxTreeDepth","outputs":[{"internalType":"uint8","name":"","type":"uint8"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"rootTreeData","outputs":[{"internalType":"uint40","name":"maxIndex","type":"uint40"},{"internalType":"uint40","name":"numberOfLeaves","type":"uint40"}],"stateMutability":"view","type":"function"},{"inputs":[{"internalType":"address","name":"_gigaRootRecipient","type":"address"}],"name":"sendGigaRoot","outputs":[],"stateMutability":"payable","type":"function"},{"inputs":[{"internalType":"address[]","name":"_gigaRootRecipients","type":"address[]"},{"internalType":"uint256[]","name":"_amounts","type":"uint256[]"}],"name":"sendGigaRoot","outputs":[],"stateMutability":"payable","type":"function"},{"inputs":[{"internalType":"address[]","name":"_localRootProvider","type":"address[]"}],"name":"updateGigaRoot","outputs":[],"stateMutability":"nonpayable","type":"function"}]

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0000000000000000000000000000000000000000000000000000000000000040000000000000000000000000000000000000000000000000000000000000000500000000000000000000000000000000000000000000000000000000000000030000000000000000000000002aaac78a5c2031247053153af1c482ead6e51646000000000000000000000000fbaf549fe0d1ea2727e5f5b3662f54dbfa1ecba10000000000000000000000004c9fe34e23bdd68fb15a5e607b5a5cc2849b74f1

-----Decoded View---------------
Arg [0] : _gigaRootRecipients (address[]): 0x2aAac78A5C2031247053153Af1c482EaD6e51646,0xfbaf549fE0d1eA2727E5F5B3662F54dBfA1eCbA1,0x4c9fE34E23bDd68fb15A5e607B5a5Cc2849B74f1
Arg [1] : _maxTreeDepth (uint8): 5

-----Encoded View---------------
6 Constructor Arguments found :
Arg [0] : 0000000000000000000000000000000000000000000000000000000000000040
Arg [1] : 0000000000000000000000000000000000000000000000000000000000000005
Arg [2] : 0000000000000000000000000000000000000000000000000000000000000003
Arg [3] : 0000000000000000000000002aaac78a5c2031247053153af1c482ead6e51646
Arg [4] : 000000000000000000000000fbaf549fe0d1ea2727e5f5b3662f54dbfa1ecba1
Arg [5] : 0000000000000000000000004c9fe34e23bdd68fb15a5e607b5a5cc2849b74f1