abstract contract ERC1155Supply is ERC1155 {
    mapping(uint256 => uint256) private _totalSupply;

    /**
     * @dev Total amount of tokens in with a given id.
     */
    function totalSupply(uint256 id) public view virtual returns (uint256) {
        return _totalSupply[id];
    }

    /**
     * @dev Indicates whether any token exist with a given id, or not.
     */
    function exists(uint256 id) public view virtual returns (bool) {
        return ERC1155Supply.totalSupply(id) > 0;
    }

    /**
     * @dev See {ERC1155-_mint}.
     */
    function _mint(
        address account,
        uint256 id,
        uint256 amount,
        bytes memory data
    ) internal virtual override {
        super._mint(account, id, amount, data);
        _totalSupply[id] += amount;
    }

    /**
     * @dev See {ERC1155-_mintBatch}.
     */
    function _mintBatch(
        address to,
        uint256[] memory ids,
        uint256[] memory amounts,
        bytes memory data
    ) internal virtual override {
        super._mintBatch(to, ids, amounts, data);
        for (uint256 i = 0; i < ids.length; ++i) {
            _totalSupply[ids[i]] += amounts[i];
        }
    }

    /**
     * @dev See {ERC1155-_burn}.
     */
    function _burn(
        address account,
        uint256 id,
        uint256 amount
    ) internal virtual override {
        super._burn(account, id, amount);
        _totalSupply[id] -= amount;
    }

    /**
     * @dev See {ERC1155-_burnBatch}.
     */
    function _burnBatch(
        address account,
        uint256[] memory ids,
        uint256[] memory amounts
    ) internal virtual override {
        super._burnBatch(account, ids, amounts);
        for (uint256 i = 0; i < ids.length; ++i) {
            _totalSupply[ids[i]] -= amounts[i];
        }
    }
}
/**
 * @dev Extension of ERC1155 that adds tracking of total supply per id.
 *
 * Useful for scenarios where Fungible and Non-fungible tokens have to be
 * clearly identified. Note: While a totalSupply of 1 might mean the
 * corresponding is an NFT, there is no guarantees that no other token with the
 * same id are not going to be minted.
 */
function exists(uint256 id) public view virtual returns (bool) {
    return ERC1155Supply.totalSupply(id) > 0;
}

/**
 * @dev Indicates whether any token exist with a given id, or not.
 */