contract CpuPublicInputOffsets {
    // The following constants are offsets of data expected in the public input.
    uint256 internal constant OFFSET_LOG_N_STEPS = 0;
    uint256 internal constant OFFSET_RC_MIN = 1;
    uint256 internal constant OFFSET_RC_MAX = 2;
    uint256 internal constant OFFSET_LAYOUT_CODE = 3;
    uint256 internal constant OFFSET_PROGRAM_BEGIN_ADDR = 4;
    uint256 internal constant OFFSET_PROGRAM_STOP_PTR = 5;
    uint256 internal constant OFFSET_EXECUTION_BEGIN_ADDR = 6;
    uint256 internal constant OFFSET_EXECUTION_STOP_PTR = 7;
    uint256 internal constant OFFSET_OUTPUT_BEGIN_ADDR = 8;
    uint256 internal constant OFFSET_OUTPUT_STOP_PTR = 9;
    uint256 internal constant OFFSET_PEDERSEN_BEGIN_ADDR = 10;
    uint256 internal constant OFFSET_PEDERSEN_STOP_PTR = 11;
    uint256 internal constant OFFSET_RANGE_CHECK_BEGIN_ADDR = 12;
    uint256 internal constant OFFSET_RANGE_CHECK_STOP_PTR = 13;
    uint256 internal constant OFFSET_ECDSA_BEGIN_ADDR = 14;
    uint256 internal constant OFFSET_ECDSA_STOP_PTR = 15;
    uint256 internal constant OFFSET_CHECKPOINTS_BEGIN_PTR = 16;
    uint256 internal constant OFFSET_CHECKPOINTS_STOP_PTR = 17;
    uint256 internal constant OFFSET_PUBLIC_MEMORY_PADDING_ADDR = 18;
    uint256 internal constant OFFSET_PUBLIC_MEMORY_PADDING_VALUE = 19;
    uint256 internal constant OFFSET_N_PUBLIC_MEMORY_PAGES = 20;
    uint256 internal constant OFFSET_PUBLIC_MEMORY = 21;

    uint256 internal constant N_WORDS_PER_PUBLIC_MEMORY_ENTRY = 2;
    // The program segment starts from 1, so that memory address 0 is kept for the null pointer.
    uint256 internal constant INITIAL_PC = 1;
    uint256 internal constant FINAL_PC = INITIAL_PC + 2;

    // The format of the public input, starting at OFFSET_PUBLIC_MEMORY is as follows:
    //   * For each page:
    //     * First address in the page (this field is not included for the first page).
    //     * Page size.
    //     * Page hash.
    //   # All data above this line, appears in the initial seed of the proof.
    //   * For each page:
    //     * Cumulative product.

    function getOffsetPageSize(uint256 pageId) internal pure returns (uint256) {
        return OFFSET_PUBLIC_MEMORY + 3 * pageId;
    }

    function getOffsetPageHash(uint256 pageId) internal pure returns (uint256) {
        return OFFSET_PUBLIC_MEMORY + 3 * pageId + 1;
    }

    function getOffsetPageAddr(uint256 pageId) internal pure returns (uint256) {
        require(pageId >= 1, "Address of page 0 is not part of the public input.");
        return OFFSET_PUBLIC_MEMORY + 3 * pageId - 1;
    }

    function getOffsetPageProd(uint256 pageId, uint256 nPages) internal pure returns (uint256) {
        return OFFSET_PUBLIC_MEMORY + 3 * nPages - 1 + pageId;
    }

    function getPublicInputLength(uint256 nPages) internal pure returns (uint256) {
        return OFFSET_PUBLIC_MEMORY + 4 * nPages - 1;
    }

}
function getOffsetPageSize(uint256 pageId) internal pure returns (uint256) {
        return OFFSET_PUBLIC_MEMORY + 3 * pageId;
    }
// The format of the public input, starting at OFFSET_PUBLIC_MEMORY is as follows:
//   * For each page:
//     * First address in the page (this field is not included for the first page).
//     * Page size.
//     * Page hash.
//   # All data above this line, appears in the initial seed of the proof.
//   * For each page:
//     * Cumulative product.