{
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  "source": "// SPDX-License-Identifier: MIT\n\npragma solidity >=0.6.0 <0.8.0;\n\n/**\n * @dev These functions deal with verification of Merkle trees (hash trees),\n */\nlibrary MerkleProofUpgradeable {\n    /**\n     * @dev Returns true if a `leaf` can be proved to be a part of a Merkle tree\n     * defined by `root`. For this, a `proof` must be provided, containing\n     * sibling hashes on the branch from the leaf to the root of the tree. Each\n     * pair of leaves and each pair of pre-images are assumed to be sorted.\n     */\n    function verify(bytes32[] memory proof, bytes32 root, bytes32 leaf) internal pure returns (bool) {\n        bytes32 computedHash = leaf;\n\n        for (uint256 i = 0; i < proof.length; i++) {\n            bytes32 proofElement = proof[i];\n\n            if (computedHash <= proofElement) {\n                // Hash(current computed hash + current element of the proof)\n                computedHash = keccak256(abi.encodePacked(computedHash, proofElement));\n            } else {\n                // Hash(current element of the proof + current computed hash)\n                computedHash = keccak256(abi.encodePacked(proofElement, computedHash));\n            }\n        }\n\n        // Check if the computed hash (root) is equal to the provided root\n        return computedHash == root;\n    }\n}\n",
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                          "id": 7893,
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                            "typeIdentifier": "t_uint256",
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                    ],
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                      "subdenomination": null,
                      "typeDescriptions": {
                        "typeIdentifier": "t_rational_0_by_1",
                        "typeString": "int_const 0"
                      },
                      "value": "0"
                    },
                    "nodeType": "VariableDeclarationStatement",
                    "src": "666:13:14"
                  },
                  "loopExpression": {
                    "expression": {
                      "argumentTypes": null,
                      "id": 7902,
                      "isConstant": false,
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                      "isPure": false,
                      "lValueRequested": false,
                      "nodeType": "UnaryOperation",
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                      "src": "699:3:14",
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                        "id": 7901,
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                    "leftExpression": {
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                      "name": "computedHash",
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                      "src": "1268:12:14",
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                        "typeIdentifier": "t_bytes32",
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                    },
                    "nodeType": "BinaryOperation",
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                    "rightExpression": {
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                  },
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                  "nodeType": "Return",
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                }
              ]
            },
            "documentation": {
              "id": 7877,
              "nodeType": "StructuredDocumentation",
              "src": "188:323:14",
              "text": " @dev Returns true if a `leaf` can be proved to be a part of a Merkle tree\n defined by `root`. For this, a `proof` must be provided, containing\n sibling hashes on the branch from the leaf to the root of the tree. Each\n pair of leaves and each pair of pre-images are assumed to be sorted."
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            "kind": "function",
            "modifiers": [],
            "name": "verify",
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            "parameters": {
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              "nodeType": "ParameterList",
              "parameters": [
                {
                  "constant": false,
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                  "mutability": "mutable",
                  "name": "proof",
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                  "scope": 7943,
                  "src": "532:22:14",
                  "stateVariable": false,
                  "storageLocation": "memory",
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                    },
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                    "nodeType": "ArrayTypeName",
                    "src": "532:9:14",
                    "typeDescriptions": {
                      "typeIdentifier": "t_array$_t_bytes32_$dyn_storage_ptr",
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                  },
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                },
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                  "name": "root",
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                  "src": "556:12:14",
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                    "typeIdentifier": "t_bytes32",
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                  },
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                    "typeDescriptions": {
                      "typeIdentifier": "t_bytes32",
                      "typeString": "bytes32"
                    }
                  },
                  "value": null,
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                },
                {
                  "constant": false,
                  "id": 7884,
                  "mutability": "mutable",
                  "name": "leaf",
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                  "overrides": null,
                  "scope": 7943,
                  "src": "570:12:14",
                  "stateVariable": false,
                  "storageLocation": "default",
                  "typeDescriptions": {
                    "typeIdentifier": "t_bytes32",
                    "typeString": "bytes32"
                  },
                  "typeName": {
                    "id": 7883,
                    "name": "bytes32",
                    "nodeType": "ElementaryTypeName",
                    "src": "570:7:14",
                    "typeDescriptions": {
                      "typeIdentifier": "t_bytes32",
                      "typeString": "bytes32"
                    }
                  },
                  "value": null,
                  "visibility": "internal"
                }
              ],
              "src": "531:52:14"
            },
            "returnParameters": {
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              "nodeType": "ParameterList",
              "parameters": [
                {
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                  "id": 7887,
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                  "name": "",
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                  "scope": 7943,
                  "src": "607:4:14",
                  "stateVariable": false,
                  "storageLocation": "default",
                  "typeDescriptions": {
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                  },
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                }
              ],
              "src": "606:6:14"
            },
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            "src": "516:779:14",
            "stateMutability": "pure",
            "virtual": false,
            "visibility": "internal"
          }
        ],
        "scope": 7945,
        "src": "151:1146:14"
      }
    ],
    "src": "33:1265:14"
  },
  "compiler": {
    "name": "solc",
    "version": "0.6.12+commit.27d51765.Emscripten.clang"
  },
  "networks": {},
  "schemaVersion": "3.3.0",
  "updatedAt": "2021-01-17T13:45:27.182Z",
  "devdoc": {
    "details": "These functions deal with verification of Merkle trees (hash trees),",
    "kind": "dev",
    "methods": {},
    "version": 1
  },
  "userdoc": {
    "kind": "user",
    "methods": {},
    "version": 1
  }
}