US20210080172A1

US20210080172A1 - Compressor train arrangements

Info

Publication number: US20210080172A1
Application number: US16/611,552
Authority: US
Inventors: Stefano BARACCO; Antonio Pelagotti; Simone AMIDEI; Stefano DE SIMONE; Ever FADLUN; Stefano DEL PUGLIA; Antonio CRISTALLO
Original assignee: Nuovo Pignone Technologie SRL
Current assignee: Nuovo Pignone Technologie SRL
Priority date: 2017-05-10
Filing date: 2017-05-09
Publication date: 2021-03-18
Also published as: EP3622233A1; WO2018206102A1; CN110809702A

Abstract

An LNG refrigerant compressor train (1) is disclosed. The train comprises: a driver section (11), drivingly coupled to a compressor section (13) through a shaft line (1). The compressor section is comprised of at least one refrigerant fluid compressor, driven into rotation by the driver section (11).

Description

TECHNICAL FIELD

The present disclosure concerns systems and methods for producing liquefied natural gas, here below shortly named also LNG.

BACKGROUND ART

Combustion of conventional fuels is essential in several industrial processes. Recently, in an effort to reduce the environmental impact of traditional liquid or solid fossil fuels, such as gasoline, diesel and carbon, the use of natural gas has been increased. Natural gas represents a cleaner, less polluting source of energy.
While the use of natural gas overcomes some of the disadvantages and drawbacks of conventional fossil fuels, storage and transport of natural gas poses difficulties. For transport purposes, where no gas pipelines are available, natural gas is conventionally chilled and converted into liquefied natural gas and transported via a carrier, for instance a liquefied gas tanker. Several thermodynamic cycles have been developed for converting natural gas in liquefied natural gas. The thermodynamic cycles usually include one or more compressors which process one or more refrigerant fluids. The refrigerant fluids undergo cyclic thermodynamic transformations to remove heat from the natural gas until this latter is finally converted in liquid phase.
The LNG compressor train and relevant driver is a cumbersome machinery. Improvements in the arrangement and configuration of the compressor train are needed, to enhance the operability and availability of the compressor train, as well as the overall efficiency thereof.

SUMMARY

Disclosed herein are LNG refrigerant compressor trains comprising: a driver section, drivingly coupled to a compressor section through a shaft line, wherein the compressor section is comprised of at least one refrigerant fluid compressor, driven into rotation by said driver section. The refrigerant compressor(s) will be referred to here on also as gas compressors.
The driver section can comprise at least one of the following: an internal combustion engine; a gas turbine engine; an electric motor, a steam turbine; a reciprocating gas engine. If a gas turbine engine is provided, said gas turbine engine can be selected from the group consisting of: a 1-spool gas turbine; a 1.5-spool gas turbine; a 2-spool gas turbine; a 3-spool gas turbine.
The compressor section can comprise more than one refrigerant compressor and preferably less than five refrigerant compressors, drivingly coupled to the driver section. The compressor(s) can include dynamic compressors, such as axial, radial or mixed axial-radial compressors, or positive-displacement compressors, such as reciprocating compressors.
The compressor train can include additional rotating machinery. In general the compressor train can include one or more auxiliary machines driven by the driver section and mechanically coupled to at least one compressor of the compressor section. The auxiliary machine(s) may comprise one or more of the following: electric generators; electric or steam helpers; electric or steam starters; electric or steam starter-helpers; electric or steam starter-helper-generators. In general, an auxiliary machine may also include a further compressor.
Features and embodiments are disclosed here below and are further set forth in the appended claims, which form an integral part of the present description. The above brief description sets forth features of the various embodiments of the present invention in order that the detailed description that follows may be better understood and in order that the present contributions to the art may be better appreciated. There are, of course, other features of the invention that will be described hereinafter and which will be set forth in the appended claims. In this respect, before explaining several embodiments of the invention in details, it is understood that the various embodiments of the invention are not limited in their application to the details of the construction and to the arrangements of the components set forth in the following description or illustrated in the drawings. The invention is capable of other embodiments and of being practiced and carried out in various ways. Also, it is to be understood that the phraseology and terminology employed herein are for the purpose of description and should not be regarded as limiting.
As such, those skilled in the art will appreciate that the conception, upon which the disclosure is based, may readily be utilized as a basis for designing other structures, methods, and/or systems for carrying out the several purposes of the present invention. It is important, therefore, that the claims be regarded as including such equivalent constructions insofar as they do not depart from the spirit and scope of the present invention.

BRIEF DESCRIPTION OF THE DRAWINGS

A more complete appreciation of the disclosed embodiments of the invention and many of the attendant advantages thereof will be readily obtained as the same becomes better understood by reference to the following detailed description when considered in connection with the accompanying drawings, wherein:

FIGS. 1, 2, 3 and 4 illustrate schematics of compressor trains for natural gas liquefaction systems, according to the present disclosure;

FIGS. 5, 6, 7, 8 and 9 illustrate schematics of gas turbine engines used as drivers in a gas compressor train according to the present disclosure;

FIGS. 10, 11, 12, 13, 14, 15, 16 and 17 illustrate schematics of electric motors used as drivers in a gas compressor train according to the present disclosure;

FIGS. 18, 19, 20 and 21 illustrate configurations of mechanical couplings between compressors of a compressor train according to the present disclosure;

FIGS. 22, 23, 24, 25, 26, 27, 28, 29 and 30 illustrate alternative compressor layouts for gas compressor trains of the present disclosure;

FIGS. 31, 32, 33 and 34 illustrate possible combinations of a plurality of compressor trains for a gas liquefaction system;

FIGS. 35, 36, 37, 38, 39, 40 and 41 illustrate various LNG systems which can use one or more compressor trains according to the present disclosure;

FIGS. 42A, 42B, 42C, 42D, 42E illustrate a flow chart of a method for generating compressor train configurations according to the present disclosure;

FIGS. 43, 44 and 45 illustrate compressor trains with combined top and bottom thermodynamic cycles.

DETAILED DESCRIPTION OF EMBODIMENTS

The following detailed description of the exemplary embodiments refers to the accompanying drawings. The same reference numbers in different drawings identify the same or similar elements. Additionally, the drawings are not necessarily drawn to scale. Also, the following detailed description does not limit the invention. Instead, the scope of the invention is defined by the appended claims.
Reference throughout the specification to “one embodiment” or “an embodiment” or “some embodiments” means that the particular feature, structure or characteristic described in connection with an embodiment is included in at least one embodiment of the subject matter disclosed. Thus, the appearance of the phrase “in one embodiment” or “in an embodiment” or “in some embodiments” in various places throughout the specification is not necessarily referring to the same embodiment(s). Further, the particular features, structures or characteristics may be combined in any suitable manner in one or more embodiments.
FIG. 1 schematically illustrates a compressor train for processing one or more refrigerant fluids of a natural gas liquefaction plant. The compressor train is labeled 1. One or more refrigerant ducts schematically shown at 3 are provided for fluidly coupling the compressor train to a cooling and liquefaction system 5, wherein one or more flows of compressed refrigerant fluids are cooled by exchanging heat with a heat sink and expanded, to produce chilled refrigerant. This latter is used to directly or indirectly remove heat from a natural gas flow 7 entering the cooling and liquefaction system 5. Through one or more cooling steps the natural gas is finally liquefied and exits the cooling and liquefaction system at 9.
In general terms, the LNG plant can include one or more compressor trains 1. In FIG. 1 one compressor train 1 is illustrated by way of example. When more than one compressor train is provided, they can be identical to one another or different from one another, depending e.g. upon the liquefaction process used in the cooling and liquefaction system 5.
The compressor train 1 is generally comprised of a driver section 11 and a driven section. The driven section can comprise a gas compressor section 13, which is in turn comprised of at least one refrigerant fluid compressor, as will be described in greater detail here below.
Several configurations and arrangements of both the driver section 11 and the compressor section 13 will be described in greater detail later on. Mechanical power generated by one or more drivers arranged in the driver section 11 is used to drive one or more compressors in the gas compressor section 13. A transmission 15 provides a mechanical coupling between the driver section 11 and the gas compressor section 13. The transmission 15 can include a simple mechanical shaft or a more complex machinery arrangement, as will be described later on.
The compressor train 1 can further include one or more auxiliary machine aggregates. In FIG. 1 a first auxiliary machine aggregate is labeled 17 and a second auxiliary machine aggregate is labeled 19. In the exemplary embodiment of FIG. 1 the first auxiliary machine aggregate 17 and the second auxiliary machine aggregate 19 are arranged at opposite ends of the compressor train. More specifically: the first auxiliary machine aggregate 17 is arranged at a first end of a shaft line 2, and the second auxiliary machine aggregate 19 is arranged at a second end of shaft line 2.
In other embodiments one or more auxiliary machine aggregates 17, 19 can be arranged along shaft line 2 between the driver section 11 and the gas compressor section 13, as schematically shown in FIG. 2. A transmission 15.1 can be arranged between the driver section 11 and the auxiliary machine aggregate 17, 19 and a transmission 15.2 can be arranged between the auxiliary machine aggregate 17, 19 and the compressor section.
Yet further embodiments, schematically shown in FIGS. 3 and 4, can be comprised of two auxiliary machine aggregates 17 and 19 arranged as follows:

- in FIG. 3 the first auxiliary machine aggregate 17 is located at a first end of shaft line 2, and the second auxiliary machine aggregate 19 is located between the driver section 11 and the gas compressor section 13. Transmissions 15.3, 15.4, 15.5 are arranged between each pair of sequentially arranged machine sections and aggregates;
- in FIG. 4 the first auxiliary machine aggregate 17 is located along the shaft line 2 between the driver section 11 and the gas compressor section 13; the second auxiliary machine aggregate 19 is located at the second end of the shaft line 2, on the opposite side of the first auxiliary machine aggregate with respect to the gas compressor section 13. Transmissions 15.6, 15.7, 15.8 are arranged between each pair of sequentially arranged machine sections and aggregates.

In some embodiments, the compressor train 1 can contain no auxiliary machine or auxiliary machine aggregate. In other embodiments, the auxiliary machines may include further compressors, e.g. refrigerant compressors.
Each auxiliary machine aggregate can in turn comprise one or more machines. The auxiliary machine can be a driven auxiliary machine, for example an electric generator, i.e. in general a machine which is driven by mechanical power provided by the driver section. In other embodiments, the auxiliary machine can be a driver auxiliary machine, for example an electric motor, i.e. in general a machine which generates mechanical power. Exemplary embodiments of auxiliary machine arrangements will be discussed later on in this description. A combination of driven auxiliary machines and driving auxiliary machines can also be envisaged.
In some embodiments the auxiliary machine aggregate can include a reversible electric machine, capable of operating in an electric generator mode or in an electric motor mode. In the electric generator mode, excess power produced by the driver section 11 can be converted into useful electric power and exploited to drive another load or delivered to an electric power distribution grid. In the electric motor mode the auxiliary machine can operate as a helper, providing additional power to drive the load, when the power generated by the driver section 11 is insufficient, for instance if the efficiency of a gas turbine engine used as a driver drops as a consequence of variable environmental conditions.
Combining one or more auxiliary machines or machine aggregates on the same shaft line 2 improves the operational flexibility and optional operating conditions of the compressor train.
The driver section 11 can include one or more drivers. In general terms, a driver converts power, other than mechanical power, available from a power source, into mechanical power for driving the rotating load(s) mechanically coupled to the driver section 11 via shaft line 2, i.e. one or more compressors, and one or more auxiliary machines or auxiliary machine aggregates, if present.
In FIG. 1 several different drivers are schematically represented in the left-hand cloud. Each driver can be selected from the group consisting of: gas turbine engines (GT), steam or vapor turbines (ST), such as Rankine turbines, using either organic or non-organic (e.g. water) working fluid, expanders (EX), electric motors (EM), reciprocating internal combustion engines such as gas engines (GE), or combinations thereof. Vapor turbines and expanders can be designed to process any fluid in vapor or gaseous state, for instance: carbon dioxide, organic fluids such as pentane, cyclo-pentane, or other fluids suitable for use in an organic thermodynamic cycle, such as an ORC (Organic Rankine Cycle).
When the driver section 11 comprises a gas turbine engine, the gas turbine engine can be a heavy duty gas turbine engine or an aeroderivative gas turbine engine. Exemplary embodiments of as turbine engines suitable to drive a compressor train are described here below, reference being made to FIGS. 5, 6, 7, 8 and 9. Each gas turbine engine is comprised of a compressor section. Each compressor section can comprise one or more air compressors. The air compressors of gas turbine engines disclosed herein will be referred to simply as “compressors”.
Depending upon configuration, according to embodiments disclosed herein a gas turbine engine can deliver up to about 130 MW mechanical power, which is made available on the shaft line 2 to drive one or more rotary driven machines.
An exemplary heavy duty gas turbine engine 21 is schematically illustrated in FIG. 5 and in the left cloud of FIG. 1. The gas turbine engine 21 is a one-shaft gas turbine engine comprised of a compressor portion 23, a combustor portion 25 and a power turbine portion 27.
The power turbine portion is mechanically coupled to the compressor portion through a shaft 29. Air is compressed by compressor portion 23, fuel is mixed with the compressed air and the air-fuel mixture is ignited in combustor portion 25 to generate hot, compressed combustion gas. This latter is then expanded in turbine portion 21, where mechanical power is generated. Part of the mechanical power produced by expanding combustion gas in the power turbine portion 27 is partly used to power the compressor portion 23 and maintain continuous delivery of compressed air, and partly made available on shaft line 2 through shaft 29 to drive into rotation one or more loads connected to the shaft line 2.
The power turbine portion 27 and the compressor portion 23 are fluidly and mechanically coupled, through the combustor portion 25 and the shaft 29, respectively.
The term “one-shaft gas turbine engine” as used herein can be understood as a machine wherein the rotating part of the compressor portion 23 and the rotating part of the power turbine portion 27 are mounted on the same shaft 29 and thus rotate at the same rotational speed. A one-shaft gas turbine engine is also called “one-spool gas turbine engine”, labeled in FIG. 1 with “GT1”.
In some embodiments, one-shaft or single-shaft gas turbine engines as shown in FIG. 5 can provide particularly high efficiencies, if compared with multi-shaft gas turbine engines. Moreover, this type of gas turbine can be more compact and less expensive with respect to the other ones.
For instance, in some embodiments the one-shaft gas turbine engine can be one of the gas turbines here-below listed:

- Model SGT-800, available from Siemens AG, Germany;
- Model Taurus 70 mono, available from Solar Turbines;
- Model Titan130 mono, available from Solar Turbines, California, US;
- Model H25, available from Hitachi, Japan;
- Model GE10-1, available from General Electric, USA;
- Model NovaLT5-1, available from General Electric, USA;
- Model MS7001, available from General Electric, USA;
- Model MS5001, available from General Electric, USA.

In some embodiments the driver section 11 can comprise a multi-shaft gas turbine engine, i.e. a gas turbine engine comprised of two or more shafts. Multi-shaft gas turbine engines can be either heavy duty gas turbine engines or aeroderivative gas turbine engines.
An exemplary embodiment of a two-shaft gas turbine engine is illustrated in FIG. 6. The gas turbine engine is labeled 31 and can be either a heavy duty gas turbine engine or an aeroderivative gas turbine engine. The gas turbine engine 31 comprises a compressor portion 33, a combustor portion 35, a turbine portion 36. This latter can in turn be comprised of a high pressure turbine 37 and a low pressure turbine 39. The low pressure turbine 39 is also referred to as power turbine. The aggregate comprised of the compressor portion 33, the combustor portion 35 and the high pressure turbine 37 are sometimes cumulatively referred to as gas generator, since they provide compressed, high-temperature combustion gas, which is expanded in the low pressure turbine 39 to generate mechanical power.
Air is ingested and compressed by compressor portion 33, fuel is mixed with the compressed air and the air-fuel mixture is ignited in combustor portion 35 to generate hot, compressed combustion gas. This latter is then sequentially expanded in the high pressure turbine 37 and in the low pressure turbine 39 of turbine portion 36.
Mechanical power generated by the high pressure turbine 37 is used to drive the compressor portion 33 into rotation through first shaft 38. Mechanical power generated by the low pressure turbine 39 is used to drive the loads coupled to shaft line 2, which is mechanically coupled to a second shaft 40 of the gas turbine engine 31.
The high pressure turbine 39 and the compressor portion 33 are fluidly and mechanically coupled, through the combustor portion 35 and the shaft 38, respectively. The low pressure turbine 39 is fluidly coupled but not mechanically coupled to the high pressure turbine 37, i.e. the low pressure turbine 39 and the high pressure turbine 37 comprise respective rotors which are supported by separate shafts, namely shaft 38 and shaft 40, respectively. The high pressure turbine 37 and the low pressure turbine 39 can thus rotate at different rotational speeds.
The gas turbine engine 31 of FIG. 6 is also referred to as a 1.5-spool gas turbine engine and it is indicated with “GT1.5” in FIG. 1. A 1.5-spool gas turbine engine is a machine comprised of a first spool, formed by a first shaft, a turbine and a compressor, and a half spool, formed by a shaft and a turbine, but not having a compressor counterpart.
The 1.5-spool gas turbine engine 31 is a compact driver, which allows the low-pressure turbine 39 to rotate at a rotational speed different from the rotational speed of the high pressure turbine 37 and of the compressor 33, forming part of the gas generator. Flexibility of operation of the compressor train can thus be obtained, for increased efficiency of the compressor train.
For instance, in some embodiments the 1.5-spool gas turbine engine can be one of the gas turbines here-below listed:

- Model SGT-400, available from Siemens AG, Germany;
- Model SGT-700, available from Siemens AG, Germany;
- Model SGT-750, available from Siemens AG, Germany;
- Model Mars90, available from Solar Turbines, CA, USA;
- Model Taurus70, available from Solar Turbines, CA, USA;
- Model Mars100, available from Solar Turbines, CA, USA;
- Model Titan130, available from Solar Turbines, CA, USA;
- Model Titan250, available from Solar Turbines, CA, USA;
- Model H50, available from Hitachi, Japan;
- Model H100, available from Hitachi, Japan;
- Model GE10-2, available from General Electric, USA;
- Model NovaLT5-2, available from General Electric, USA;
- Model NovaLT16, available from General Electric, USA;
- Model PGT25, available from General Electric, USA;
- Model LM2500 family, available from General Electric, USA;
- Model PGT25 family, available from General Electric, USA;
- Model MS5002 family, available from General Electric, USA.

FIG. 7 illustrates a further embodiment of a gas turbine engine, labeled 41 as a whole. Gas turbine engine 41 can be a heavy duty gas turbine engine or an aeroderivative gas turbine engine. In the exemplary embodiment of FIG. 6 gas turbine engine 41 is a two-shaft gas turbine engine, comprised of a compressor portion 43, a combustor portion 45 and a turbine portion 47. In some embodiments, the compressor portion 43 comprises a first compressor 49 and a second compressor 51 arranged in sequence.
In the exemplary embodiment of FIG. 7 the turbine portion 47 comprises a high pressure turbine 53 and a low pressure turbine 55. The high pressure turbine 53 and the low pressure turbine 55 are fluidly coupled to one another, such that combustion gas expands sequentially in the high pressure turbine and in the low pressure turbine. However, the high pressure turbine 53 and the low pressure turbine 55 are mechanically separate from one another, i.e. the rotors thereof are supported on shafts which rotate independently from one another and which are arranged coaxially. The two rotors can thus rotate at different rotational speeds.
Air is ingested by the first compressor 49 and is sequentially compressed by first compressor 49 and second compressor 51. The compressed air is delivered to the combustor portion 45, wherein fuel is mixed with the compressed air. The air-fuel mixture is ignited in combustor portion 45 to generate hot, compressed combustion gas. This latter is then sequentially expanded in the high pressure turbine 53 and in the low pressure turbine 55 of turbine portion 47.
Mechanical power generated by the high pressure turbine 53 is used to drive the second compressor 51 into rotation through a first shaft 57, which mechanically connects the high pressure turbine 53 to the second compressor 51.
Mechanical power generated by the low pressure turbine 55 is used to drive the first compressor 49 into rotation through a second shaft 59, which mechanically connects the low pressure turbine 55 to the first compressor 49 and to the shaft line 2. The first and second shafts 57, 59 are co-axial. Mechanical power generated by low pressure turbine 55 exceeding the power needed to drive the first compressor 49 into rotation is applied to shaft line 2, which can be mechanically coupled to the second shaft 59, and can be used to drive the load.
The high pressure turbine 53 and the second compressor 51 are fluidly coupled through the combustor portion 45 and mechanically coupled through the first shaft 57. The low pressure turbine 55 and the first compressor 49 are mechanically coupled through second shaft 59. The low pressure turbine 55 is fluidly coupled, but not mechanically coupled, to the high pressure turbine 53.
The rotational speed of the shaft line 2 and of the low pressure turbine 55 can be adjusted independently from the rotational speed of the high-pressure turbine 53, for improved efficiency of the compressor train, taking into account variable operating conditions of the compressor(s) and/or variable environmental conditions.
Gas turbine engines configured as shown in FIG. 7 are termed also “two-spool gas turbine engines”. This kind of gas turbine is indicated in FIG. 1 with “GT2”. In general terms, a two-spool gas turbine engine is comprised of two concentrically arranged shafts, wherein the inner shaft supports the rotor of a first compressor and the rotor of a first turbine, forming a first spool, and wherein the outer shaft supports the rotor of the second compressor and the rotor of a second turbine, forming a second spool. In some embodiments, a two-spool gas turbine engine as shown in FIG. 7 may provide some advantage over a 1.5-spool gas turbine engine as shown in FIG. 6. Advantages can be provided in particular by splitting the air compression process in more than just one air compressor.
For instance, splitting the air compression process in two air compressors 49, 51, rather than requiring a single compressor 33 to perform the whole air compression may provide advantages in terms of efficiency and easiness of control over the air compression process. Less performing air compressors may be required in the two-spool configuration compared with the 1.5-spool configuration. Enhanced operating flexibility can also be achieved in a two-spool configuration, compared to a 1.5-spool configuration, and higher compression ratios are possible, which in turn results in higher cycle efficiency and higher power density of the gas turbine engine. Two (or more) sequentially arranged air compressors also provides for the possibility of using an intercooler (as described in more detail later on) for further improved efficiency and reduced load on the compressor portion as a whole.
For instance, in some embodiments the two-spool gas turbine engine can be—the gas turbine model LM6000, available from General Electric, USA. Further embodiments of the driver section 11 can include a three-shaft gas turbine engine, as exemplarily illustrated in FIG. 8 and labeled 61. The gas turbine engine 61 comprises a compressor portion 63, a combustor portion 65 and a turbine portion 67.
In the exemplary embodiment of FIG. 8 the compressor portion 63 comprises sequentially arranged first compressor, or booster compressor 69 and second compressor 71. The turbine portion 67 comprises a high pressure turbine 73, an intermediate pressure turbine 75 and a low pressure turbine 77, which are arranged in series, such that combustion gas expands through said three turbines sequentially. The high pressure turbine 73 can be mechanically coupled, through a first shaft 79, to the second compressor 71. The intermediate pressure turbine 75 can be mechanically coupled to the first compressor 69, through a second shaft 81, which is arranged coaxial to and inside the first shaft 79. The low pressure turbine 77 is mechanically coupled through a third shaft 83 to the shaft line 2, but is mechanically separate from the compressor portion 63 and from the high pressure turbine 73 and intermediate pressure turbine 75.
The high pressure turbine 73 and the second compressor 71 are fluidly coupled through the combustor portion 65, and are further mechanically coupled through the first shaft 79. The intermediate pressure turbine 75 and the first compressor 69 are mechanically coupled through second shaft 81. The first compressor 69 and the second compressor 71 are fluidly coupled but mechanically independent from one another, such that they can rotate at different rotational speeds. The low pressure turbine 77 is fluidly coupled but not mechanically coupled to the intermediate pressure turbine 75, i.e. the rotor of the intermediate pressure turbine 75 and the rotor of the low pressure turbine 77 rotate independently from one another. The three turbines 73, 75, 77 can thus rotate at respective different rotational speeds.
Air is ingested by the first compressor 69 and sequentially compressed by first compressor 69 and second compressor 71. Compressed air is mixed with fuel and the air/fuel mixture is ignited in combustor portion 65 to generate hot, compressed combustion gas. This latter is sequentially expanded in turbines 73, 75, 77. Mechanical power generated by the high pressure turbine 73 and intermediate pressure turbine 75 is used to drive the second compressor 71 and the first compressor 68, respectively. Mechanical power generated by the low pressure turbine 77 is used to drive the load coupled to shaft line 2. The three-shaft gas turbine engine of FIG. 8 is referred to as a “2.5 spool gas turbine engine” and is labeled in FIG. 1 with “GT2.5”. In general terms, a 2.5 spool gas turbine engine is a three-shaft gas turbine engine wherein a first shaft supports the rotor of a first turbine and the rotor of a first compressor, forming a first spool, and a second shaft supports the rotor of a second turbine and the rotor of a second compressor, forming a second spool. A third shaft supports the rotor of a third turbine, forming a half spool.
In some embodiments a 2.5-spool gas turbine engine may have some advantages over a two-spool gas turbine engine as shown in FIG. 6. Specifically, the 2.5-spool gas turbine engine provides for independent control of the rotational speed of the free power turbine or low pressure turbine 77, which can rotate at a rotational speed and which can be adjusted independently of the rotational speed of the first and second shafts 79, 81. The 2.5-spool gas turbine engine can thus combine the advantages of the free power turbine of a 1.5-spool gas turbine engine (FIG. 6) to the advantages of a two-spool gas turbine engine (FIG. 7), i.e. shaft line rotational speed independent from the rotational speed of the air compressors and air compressor process split in two separate air compressors.
For instance, in some embodiments the 2.5-spool gas turbine engine can be one of the gas turbines here-below listed:

- Model RB211, available from Rolls-Royce (Siemens);
- Model LM9000, available from General Electric, USA;
- Model LMS100, available from General Electric, USA;

A further embodiment of a gas turbine engine for driver section 11 is shown in FIG. 9 and labeled 85 as a whole. The three-shaft gas turbine is also shown in FIG. 1 and it is labeled as “GT3”. The gas turbine engine 85 is a three-shaft gas turbine engine, comprised of a compressor portion 87, a combustor portion 89 and a turbine portion 91.
The compressor portion 87 is comprised of a first compressor or booster compressor 93, a second compressor 95 and a third compressor 97. The three compressors 93, 95, 97 are arranged in sequence, in order to sequentially compress air at progressively increasing pressure values. Compressed air from the last compressor 97 is delivered to the combustor portion 89.
The turbine portion 91 comprises a high pressure turbine 99, an intermediate pressure turbine 101 and a low pressure turbine, also referred to as power turbine 103. The three turbines 99, 101 and 103 are arranged in series to sequentially expand combustion gas from combustor portion 89 and produce mechanical power through said expansion.
The high pressure turbine 99 is mechanically coupled to the third compressor 97 through a first shaft 105, such that mechanical power generated by the high pressure turbine 99 is used to mechanically drive the third compressor 97. A second shaft 107 is arranged coaxial to the first shaft 105 and mechanically connects the intermediate pressure turbine 101 to the second compressor 95, such that mechanical power generated by the expansion of combustion gas in the intermediate pressure turbine 101 is used to drive the second compressor 95 into rotation. A third shaft 109 is arranged coaxial to the first shaft 105 and the second shaft 107 and mechanically connects the low pressure turbine 103 to the first compressor 93 and to the shaft line. Power produced by combustion gas expansion in the low pressure turbine 103 thus rotates the first compressor 93 and drives into rotation the load applied to shaft line 2.
The high pressure turbine 99 and the third compressor 97 are fluidly coupled through the combustor portion 89 and mechanically connected through the first shaft 105. The intermediate pressure turbine 101 and the second compressor 95 are mechanically coupled through second shaft 107. The low pressure turbine 103 and the first compressor 93 are mechanically coupled through third shaft 109. The low pressure turbine 103 is fluidly coupled but not mechanically coupled to the intermediate pressure turbine 101. The three shafts 105, 107, 109 and relevant machinery connected thereto can thus rotate at different rotational speeds. The rotational speed of the shaft line 2 can be adjusted independently from the rotations speed of the high pressure turbine 99 and of the intermediate pressure turbine 101. Similarly, the rotational speed of the intermediate pressure turbine 101 can be adjusted independently from the rotation speed of the high pressure turbine 99, thus providing enhanced adjustment options for increased efficiency of the driver, e.g. under variable operating conditions of the load and/or to take variable environmental conditions into account.
The turbine configuration of FIG. 9 is referred to as a three-spool gas turbine engine, wherein each spool is comprised of a shaft, a compressor rotor and a turbine rotor coupled by said shaft.
A three-spool gas turbine engine may have particular advantages over a 2.5-spool or 2-spool gas turbine engine, as shown in FIGS. 8 and 7, respectively. Specifically, a three-spool gas turbine engine allows air bleeding at lower pressures, which reduces the negative impact of air bleeding on the overall turbine efficiency.
For instance, in some embodiments the three-spool gas turbine engine can be the gas turbine named TRENT 60, available from Rolls-Royce (Siemens).
In the exemplary embodiments shown in FIGS. 5, 7 and 9 the shaft line 2 can be mechanically coupled to the hot side or else to the cold side of the gas turbine engine. The term “hot side” as used herein can be understood as the side of the gas turbine engine where the turbine portion is arranged, while the term “cold side” as used herein can be understood as the opposite side of the gas turbine engine, where the compressor portion is arranged. In some embodiments, as shown e.g. in FIG. 1, the shaft line 2 can extend on both sides of the gas turbine engine, in which case part of the machinery can be arranged on a shaft line section 2 extending from the hot side of the gas turbine engine, and part of the machinery is arranged on a shaft line section 2 extending from the cold side of the gas turbine engine. In some embodiments the compressor section 13 is arranged on the hot side of the gas turbine engine. Possible refrigerant gas leakages from the compressor section will in this case not contaminate the combustion air ingested by the air compressor(s) of the gas turbine engine, preventing possible explosion or fire hazards.
According to some embodiments, the gas turbine engine can comprise two or more air compressors, as shown by way of example in FIGS. 7, 8 and 9. In some embodiments an intercooler can be arranged between sequentially arranged upstream compressor and downstream compressor of the compressor portion. In gas turbine engines comprising more than two sequentially arranged compressors, the intercooler can be arranged between any pair of upstream-downstream sequentially arranged compressors. More than just one intercooler can be provided, if needed, between serially arranged compressors of two or more compressors pairs. An intercooler 110 is illustrated by way of example in the embodiment of FIG. 8, between the first compressor 69 and the second compressor 71. It shall however be understood that intercooler arrangements can be provided also in other gas turbine engine arrangements.
Intercooler(s) can be used to remove heat from air compressed by an upstream compressor prior to undergoing a second compression step in a downstream compressor. Using intercooler(s) a lower final air temperature can be obtained, which increases the overall efficiency of the gas turbine engine cycle. Moreover, by limiting the final temperature of the compressed air, less performing materials can be employed, in particular for manufacturing the last compressor stages, which reduces the overall cost of the compressor section.
The intercooler can include an air/air heat exchanger, an air/water heat exchanger or any other heat exchanger wherein hot, partially compressed air is cooled by heat exchange against a heat sink. In some embodiments the partly compressed air can be cooled by heat exchange against a refrigerant of the LNG circuit. This can allow lower temperatures to be achieved and/or smaller heat exchange surfaces to be used, thus resulting in more compact heat exchangers.
Each heat exchanger may include a single section or more sections. Different cooling media can be used in each section. For instance, air can be cooled in the heat exchanger by exchanging heat with air, water or other cooling media in combination.
The multiple-shaft gas turbine engines, e.g. those shown in FIGS. 6, 7, 8 and 9, can be heavy duty gas turbine engines, aeroderivative gas turbine engines or hybrid gas turbine engines, e.g. including an aeroderivative core section and an additional power turbine, or low pressure turbine which is designed according to heavy duty design criteria.
The gas turbine engine can include control means to adjust the operating conditions of the gas turbine engine. According to exemplary embodiments, a fuel metering device 112 can be provided to adjust the amount of fuel delivered to the combustor portion, as schematically shown e.g. in FIGS. 5 and 9. It shall be understood that a similar fuel metering device can be provided also in other gas turbine engine arrangements disclosed herein. Fuel can be a gaseous fuel, such as methane or methane-based gas mixtures. The gas fuel can be taken from the natural gas flowing in 7. In other embodiments the fuel can be a liquid fuel, such as kerosene or Distillate n.2. In further embodiments, combustor portions designed to operate with gaseous fuel and liquid fuel alternatively, can be envisaged.
In some embodiments, variable inlet guide vanes (IGVs) can be provided in the compressor portion to adjust the air inlet section as a function of the required operating conditions of the gas turbine engine. Variable IGVs are schematically shown at 114 in FIGS. 5 and 6 by way of example, it being understood that variable IGVs can be provided also in the other gas turbine engine arrangements described herein.
In some embodiments variable nozzle guide vanes (NGVs) can be provided at the inlet of one or more turbines in the turbine portion of the gas turbine engine. By way of example, variable NGVs 116 are shown in FIGS. 6 and 8. Similar NGVs can be used also in combination with other embodiments disclosed herein. When more turbines are arranged in sequence, NGVs can be arranged at the inlet of one, some or all said turbines, for improved control flexibility.
Variable IGVs and variable NGVs can be used individually or in combination in the same gas turbine engine.
Variable IGVs and variable NGVs can be used in combination, to provide better flow control flexibility and to better operate low emission combustion systems, the combustion portion can be provided with. In some embodiments only NGVs can be envisaged, even though combination of NGVs and IGVs provides for a higher flexibility.
NGVs can for instance be used to provide better tuning of the air flow and thus improved control of low emission combustion systems, such as so-called dry-low NOx emission combustions systems, without adversely affecting the overall efficiency of the machine.
The use of IGVs, even without NGVs, can be envisaged for better anti-surge control of the air compressor of the gas turbine engine.
In some single-shaft or one-shaft gas turbine engines, as schematically shown in FIG. 5 for instance, IGVs at the inlet of the compressor portion can be used for tuning the air flow rate even if no NGVs are provided, while multi-shaft gas turbine engines would require both IGVs and NGVs in combination. On the other hand, in some embodiments multi-shaft gas turbine engines are preferably used, e.g. for improved efficiency over an extended rotational speed range, e.g. when the turbine speed ranges between 50% to 105% of the nominal rotational speed.
One, some or all compressors of the compressor section can include one or more variable stator vanes (VSVs), i.e. movable statoric blades, to adjust the operating conditions of the compressor. Variable VSVs are shown by way of example in FIG. 8 at 118. If more air compressors are provided, as shown e.g. in FIG. 7, 8 or 9, one, some or all compressor portions can be provided with one or more sets of VSVs. In some embodiments VSVs and IGVs can be used in combination in one, some or all compressors of the compressor portion.
VSVs can be particularly used when an extensive aerodynamic operative range is desirable. In such case, VSVs can increase the overall efficiency of the compressor portion, since the geometry of several compressor stages can be adapted to the operating conditions of the compressor. In some embodiments, IGVs and VSVs can be mechanically coupled to one another, such that they are adjusted simultaneously with the same adjusting actuator. In other embodiments, IGVs and VSVs can be at least partly independent from one another, i.e. the VSVs of at least one compressor stage can be adjusted by an actuator that is independent of the actuator adjusting the IGVs.
In the various embodiments of the gas turbine engines disclosed herein, each air compressor can include one or more compressor stages. The air compressors may be axial compressors, centrifugal compressors, or mixed centrifugal and axial compressors, or combinations thereof. In some embodiments, one or more axial compressor can be combined with one or more centrifugal compressor. In some embodiments, at least one axial compressor is arranged upstream of at least one centrifugal compressor.
In some embodiments, if two or more compressors are arranged in series, the more downstream compressor can have a higher number of compressor stages, and thus can provide a compression ratio higher than the more upstream compressor. The most downstream turbine can thus provide a higher power rate to the shaft line 2.
In some embodiments, each compressor includes no centrifugal stage or one centrifugal stage and from 1 to N axial stages, wherein in some embodiments N can be comprised between 4 and 30, preferably between 4 and 20. The compression ratio of a compressor can be comprised between approximately 1.5 and approximately 35, preferably between 1.5 and 30. In some embodiments, the total compression ratio of the air compressor portion can be up to 60.
In general terms, each stage can comprise a set of circularly arranged rotating blades, co-acting with a diffuser (centrifugal compressor) or with a set of stationary blades (axial compressor).
The turbines of the turbine portion of each gas turbine engine described herein are preferably axial turbines and can include a variable number of stages. In some embodiments each turbine can include from 1 to M stages, wherein M=10, preferably M=6. Each turbine can be an action turbine (also known as impulse turbine) or else a reaction turbine. Action or impulse turbines are preferably used for instance for higher rotational speeds, for instance between about 6000 and about 12000 rpm, while reaction turbines are preferably used for instance for lower rotational speeds, e.g. below 4000 rpm. High-speed, action turbines usually include a lower number of stages, for instance between 1 and 4 stages preferably between 2 and 3 stages. Low-speed reaction turbines may have a larger number of stages, for instance four or more stages.
While in some embodiments action turbines with a low number of stages and high rotational speeds are used as low-pressure turbines, directly coupled to the shaft line, in some embodiments, low-speed turbines with a larger number of stages, e.g. 3 or more stages, preferably four or more stages, for instance six or more stages, are used as low-pressure power turbines, directly coupled to the shaft line 2. In some embodiments, low-speed power turbines may be advantageously used in direct coupling with the shaft line 2, such that a gearbox for reducing the rotational speed can be dispensed with.
Each turbine stage can include a set of stationary blades and a set of rotating blades. However, in some embodiments, the first turbine stage may be devoid of stationary blades and only include rotating blades.
Each turbine can be a high-speed turbine or a low speed turbine. The term “high speed turbine” as used herein may be understood as a turbine having a rated rotational speed of about 4000 rpm or more, preferably of about 5000 rpm or more. The term “low speed turbine as used herein may be understood as a turbine having a rated rotational speed of about 4000 rpm or less. Low speed turbines preferably have rated rotational speeds between about 3000 and about 3600 rpm.
In embodiments wherein two adjacent turbines are comprised in the turbine portion and said turbines are fluidly coupled but not mechanically coupled to one another, such as turbines 37 and 39 in FIG. 6, or turbines 75, 77 in FIG. 8, the two turbines can be co-rotating, i.e. they can rotate both clockwise, or both counter-clockwise. In other embodiments, the two sequentially arranged turbines can be counter-rotating, i.e. one can rotate clockwise and the other can rotate counter-clockwise. In such case, one or more rows of circularly arranged stationary blades can be dispensed with, this resulting in a more compact arrangement and higher turbine efficiency.
In some embodiments the combustor portion (25, 35, 45, 65, 89) can comprise a multi-can combustor. In other embodiments the combustor portion can comprise an annular combustor. In some embodiments the combustor portion can comprise a silo-combustor. Combinations of different combustors can be envisaged as well.
The combustor portion can have a fixed geometry or a variable geometry, to adjust the air flow inside and outside a combustion liner.
Each combustor portion may include one or more fuel control valves, for instance from one to ten fuel control valves, preferably from one to five fuel control valves, to adjust the fuel distribution, e.g. among a plurality of cans of a multi-can combustor.
The gas turbine engine may include a radial or an axial exhaust gas discharge at the hot side and an axial or radial air inlet at the cold side. Radial air inlet and radial exhaust gas discharge are advantageously selected when the shaft line extends on the side of the air inlet or exhaust gas discharge, respectively, and no room is available to arrange an axial air inlet or an axial exhaust gas discharge. In some embodiments, axial air inlet and/or axial exhaust gas discharge are preferably used whenever room is available on the cold side or hot side, respectively, of the gas turbine engine.
In general, all multi-shafts gas turbines, like those of FIGS. 6, 7, 8 and 9, allow a facilitated start-up of the gas turbine engine, since the gas generator is mechanically disconnected from the gas compressor section 13.
Each gas turbine engine may be further comprised of a starter or starting motor. The starter may include a smaller driver, such as a hydraulic motor, a combustion engine, an electric motor, an expander, a steam turbine, for instance, to start rotation of the gas turbine engine. By way of example a starter 120 is shown in FIG. 6.
In some embodiments, multi-shaft gas turbine engines provide for easier start-up, with starting motors which may have a total power rate of around 1-3%, typically 2% of the total power rate of the gas turbine engine. One-shaft gas turbine engines may require larger starting motors, for instance having a power rate of around 15-20% of the total power rate of the gas turbine engine.
In some embodiments, a starter/helper can be provided along shaft line 2. A starter/helper is a driving machine which is capable of starting the gas turbine engine and further to provide supplemental mechanical power to drive the load whenever the power generated by the gas turbine engine is insufficient.
In some embodiments a starter/helper may have a power rate up to 25 MW. In some embodiments, larger starter/helpers can be used, having a power rate e.g. up to 60 MW.
The starter/helper can be an electric motor. In other embodiments the starter/helper can be a reversible electric machine, which can be switched alternatively in an electric motor mode or in an electric generator mode, such that the same electric machine can operate as a starter, as a helper and as a generator as well.
In some embodiments, in particular in single-shaft gas turbine engines such as the one shown in FIG. 6, a turning gear can be provided, to keep the shaft of the gas turbine engine into slow rotation upon shut down of the gas turbine engine. A turning gear 122 is shown schematically in FIG. 6. Similar turning gears can be provided also in other gas turbine engine embodiments. Slow turning of the shaft upon shut down of the gas turbine engine prevents adverse effects on the rotating and stationary components of the gas turbine engine caused by thermally induced deformations of the camber of the shaft, for instance.
The gas turbine can include a chiller for cooling the air at the inlet of the compressor portion, in particular when the gas turbine engine is installed in a hot place. In FIGS. 5, 6, 7, 8 and 9 a chiller is schematically shown at 88. Inlet air can be chilled by heat exchange with a cooling fluid. In some embodiments the cooling fluid can be one the refrigerant fluids processed by the compressor train whereto the gas turbine engine belongs, or processed by another compressor train of the same LNG system or can be a chilled fluid from another process, separate from the LNG system. The chiller may be dispensed with if the ambient temperature is sufficiently cold.
While in FIGS. 6, 7, 8 and 9 exemplary embodiments of gas turbine engines as drivers for the compressor train 1 have been shown and described above, the driver section 11 can include different kinds of prime movers for driving the compressor train.
Gas turbine engines are particularly advantageous e.g. when a portion of the natural gas processed by the LNG system is available for use as fuel for the driver section 11. In some embodiments, gas turbine engines may be combined to electric motors acting as starters or helpers, i.e. providing additional mechanical power, e.g. when the efficiency of the gas turbine engine drops and the mechanical power generated thereby becomes insufficient to drive the compressor train.
In some embodiments, for instance if electric energy is available, electric drivers, i.e. electric motors, can be more convenient than gas turbine engines. In FIG. 1, the electric motor is labeled “EM”. In some embodiments, electric motors may allow improved flexibility in terms of speed adjustment, e.g. through a variable speed drive. Depending upon the operating conditions of the refrigerant compressors, either gas turbine engines or electric motors can offer better solutions in terms of efficiency, especially in off-design operating conditions.
Variable speed electric motors as prime movers may be particularly advantageous when low rotational speed and high torque are required under some operating conditions.
In some embodiments, when high flexibility in terms of rotational speed of the compressor train is desirable but no electric power is available, a combination of gas turbine engines and electric motors can be used, wherein one or more gas turbine engines drive one or more electric generators to convert chemical energy of a fossil fuel, such as gas, into electric power. This latter is used to drive one or more variable speed electric motors, which in turn drive one or more compressor trains.
FIGS. 10, 11, 12, 13, 14, 15, 16 and 17 illustrate exemplary layouts of driver sections 11 including respective electric motors 124, and its electrical connections. The electric motor(s) can be powered by an electric power distribution grid, or by electric generators, in turn driven by gas turbines.
In some embodiments, each electric motor can have a power rate of about 100 MW or lower, preferably of 75 MW or lower. In some embodiments, smaller electric motors, i.e. electric motors having a lower power rate, can be included in the compressor train to operate as helpers, i.e. to provide additional power to supplement the main driver. This can be beneficial, e.g. when the power supplied by the main driver can fluctuate due to for instance to environmental conditions, or when the requested driving power exceeds for whatever reason the rated power of the driver. Electric helper motors may have a power rate of up to around 40 MW, preferably of about 30 MW or less.
The electric motor 124 can be a synchronous motor. In other embodiments the electric motor 124 can be an asynchronous or induction motor.
In FIGS. 10, 11 and 12 the electric motor 124 is electrically connected to the electric power distribution grid G through a variable speed drive system. In the exemplary embodiments of FIGS. 10, 11 and 19 the variable speed drive system comprises a variable frequency drive 129. The variable frequency drive 129 can be a voltage source inverter (VSI) or a current source inverter (CSI), for instance a load commutated inverter (LCI). The variable frequency drive in turn comprises a rectifier, a direct current section, or a direct voltage section, and an inverter. The variable frequency drive can be used to modify the frequency of the electric voltage supplied to the electric motor 124 and make it independent of the grid frequency, i.e. the frequency of the electric power distribution grid G. The variable frequency drive can be used e.g. to start the compressor train providing high torque at low rotational speed and reducing the voltage drop at the grid connection point.
Acting upon a modulation signal DS applied to the variable frequency drive 129, the rotational speed of the electric motor 124, and thus the rotational speed of the shaft line 2 whereto the electric motor 124 is drivingly coupled, can be adjusted.
In some embodiments, as shown in FIG. 10, the variable frequency drive 129 is electrically coupled to the electric power distribution grid through a transformer 127. The transformer may have a 3-phase primary winding and a 6-phase secondary winding. In the first case the electric motor can be a 3-phase electric motor, while in the second case the electric motor can be a 6-phase electric motor. The 6-phase electric motor can be an LCI synchronous electric motor.
In other embodiments, as shown in FIG. 11, the variable frequency drive 129 is directly coupled to the electric power distribution grid G. In further embodiments, as shown in FIG. 12, a step-down transformer 127 is arranged between the electric power distribution grid G and the variable frequency drive 129, and a step-up transformer 128 is arranged between the variable frequency drive 129 and the electric motor 124. In some embodiments, the step-down transformer 127 can have a 3-phase primary winding and a 6-phase secondary winding. The step-up transformer can have a 6-phase primary and a 6-phase secondary winding and the electric motor 124 can be a 6-phase electric motor. In other embodiments, the step-up transformer can have a 6-phase primary winding and a 3-phase secondary winding, and the electric motor 125 would then be a 3-phase motor.
In some embodiments a multi-level voltage source inverter can be provided, between the grid and the electric motor, to reduce the harmonic content of the electric voltage.
The variable frequency drive 129 can be used to adjust the rotational speed of the electric motor 124 in steady state conditions, when the rotational speed of the compressor train requires adjustment, as well as to set a speed-up ramp of the electric motor during start up, to control the time required to achieve a steady state rotational speed and/or to control the voltage drop at the grid connection during start-up of the electric motor 124.
In FIGS. 13, 14, 15 and 16 the electric motor 124 is electrically coupled to the electric power distribution grid G through a soft starter 131. The soft starter 131 comprises a first connection branch 133A and a second connection branch 133B, which can be selectively used to electrically connect the electric motor 124 to the electric power distribution grid G. A switch 135 selectively connects one of said two branches 133A, 133B to the electric power distribution grid G.
In some embodiments, as shown in FIG. 13, the first branch 133A can include a direct electric connection. The second branch 133B can comprise a step-down transformer 137, an AC manipulation device 139, such as an AC/AC converter or a variable frequency drive, and a step-up transformer 141. The AC manipulation device can be any of the above described variable frequency drives, i.e. a VSI, a CSI or a LCI. In some embodiments the AC/AC converter can be a voltage converter.
In some embodiments, as shown in FIG. 14, the first branch 133A can comprise a step-down transformer 130 and the second branch 133B can comprise a step-down transformer 137 and an AC manipulation device 139.
In the embodiments of FIGS. 13 and 14 the AC manipulation device 139 is a 3-phase electric device. For a more efficient power conversion and reduced distortions, in some embodiments the AC manipulation device 139 can be a six-phase device. FIG. 15 (where the same or equivalent components as in FIGS. 13 and 14 are labeled with the same reference numbers) illustrates a six-phase AC/AC converter combined with step-down transformer which provides three input and six output phases, and further combined with a step-up transformer 141 with six input phases and three output phases.
FIG. 16 illustrates a configuration wherein a 3-phase/6-phase step-down transformer 137 is provided along branch 133B upstream of the 6-phase AC manipulation device 139. Along branch 133A a 3-phase/6-phase step-down transformer 138 is provided. The electric motor 124 can be a 6-phase electric motor.
In all embodiments of FIGS. 13, 14, 15 and 16 the electric motor 124 is started by connecting the electric motor 124 to the electric power distribution grid G via branch 133B. The rotation of the electric motor 124 is controlled by the AC manipulation device and is gradually accelerated from zero to the rated rotational speed. Upon reaching the rated rotational speed, the switch 135 switches the connection from branch 133B to branch 133A and the electric motor 124 will then maintain its rated speed, which is defined by the number of poles of the electric motor 124 and by the grid frequency. No speed adjustment is possible once the electric motor has reached a steady-state condition.
In other embodiments, not shown, both step-up and step-down transformers can be omitted.
The electric motor 124 can be an induction motor or a synchronous motor.
In the embodiments of FIGS. 13, 14 and 15 and 16 the AC manipulator device 139 can have a lower power rate than the power rate of the respective electric motor 124, since it is used only at start-up, while the variable frequency drive 129 of FIGS. 10, 11 and 12 shall have a power rate sufficient to supply the maximum rated power of the electric motor 124.
In FIG. 17 a direct-on-line coupling of the electric motor 124 to the electric power distribution grid G is shown. A captive transformer 143 is arranged between the electric power distribution grid G and the electric motor 124 in this case. The electric motor 124 shall be a self-starting motor, e.g. an induction motor. Once the steady state conditions are achieved, the electric motor 124 of FIG. 17 is caused to rotate at a fixed speed, determined by the grid frequency and by the number of poles of said electric motor. The rotational speed is usually 3.000 rpm when the electric grid frequency is 50 Hz and 3.600 rpm when the electric grid frequency is 60 Hz. In some embodiments, the speed can be set at 1500 rpm or at 1800 rpm.
The variable frequency drive of FIGS. 10, 11 and 12 and the soft starter 131 of FIGS. 13, 14, 15 and 16 can be used to adjust the speed-up ramp of the electric motor, e.g. to control the time required to achieve a steady state rotational speed and/or to control the voltage drop at the grid connection during start-up of the electric motor.
In further embodiments the driver section 11 can include a steam turbine or a vapor turbine, as schematically shown in FIG. 1, where ST schematically represents a steam or vapor turbine. As used herein the term “vapor turbine” may be understood as a turbine wherein power is generated by the expansion of a fluid different from steam, processed in a substantially closed system, where the fluid undergoes cyclical thermodynamic transformations, to convert heat power into mechanical power. For instance the vapor turbine can be a turbine of an ORC (Organic Rankine Cycle) arrangement, where an organic fluid is processed.
A steam turbine can have a power rate of 100 MW or less, preferably of 60 MW or less.
In yet further embodiments the driver 11 can be an expander, labeled in FIG. 1 with “EX”. for instance an expander where compressed CO₂or any other gas is processed.
In other embodiments the driver 11 can be a hydraulic turbine.
In a further embodiment the driver section 11 can comprise a reciprocating internal combustion engine, such as a gas engine or a diesel engine. This kind of driver is indicated with “GE” in the FIG. 1.
In possible alternative configurations, the driver section 11 can include a combination of two or more drivers, of the same or of different kinds, for instance two or more gas turbine engines, or one or more gas turbine engines and one or more electric motors in combination. In further embodiments, a gas turbine engine can be used in combination with a steam or vapor turbine.
Referring now again to FIGS. 1, 2, 3 and 4, as noted above, one or more auxiliary machine aggregates 17, 19 can be provided along shaft line 2.
Each auxiliary machine can be a driven machine, a driving machine or a reversible machine capable of operating in a driving machine mode and in a driven machine mode alternatively, e.g. depending upon the operating conditions of the driver section 11 and/or of the gas compressor section 13.
One or each auxiliary machine aggregate may include one or more machines selected from the group consisting of: a starter motor, a helper motor, an electric generator, a starter/helper, a starter/generator, a helper/generator, a starter/helper/generator, an expander. In further embodiments, auxiliary machine(s) can comprise one or more further compressor(s), in addition to those of the gas compressor section 13.
As used herein the term “starter” can be understood as a driving machine which is configured and controlled to initiate rotation of a prime mover shaft, for instance of a gas turbine engine. As used herein the term “helper” can be understood as a driving machine which is configured and controlled to provide supplemental mechanical power to the shaft line 2, when the prime mover of the driver section provides insufficient power to the shaft line 2. As used herein the term “generator” may be understood as an electric machine which can convert mechanical power available from the shaft line 2 into electric power. As used herein the term “helper/generator” can be understood as an auxiliary machine which is configured and controlled to operate as a helper or as a generator selectively. As used herein the term “starter/helper” can be understood as an auxiliary machine which is configured and controlled to operate as a starter or as a helper selectively. The term “starter/generator” as used herein can be understood as an auxiliary machine which is configured and controlled to operate selectively a starter or as a generator. Furthermore, the term “starter/helper/generator” as used herein can be understood as an auxiliary machine which is configured and controlled to operate selectively as a starter, a generator or a helper.
In some embodiments no auxiliary machine aggregates are provided. In other embodiments one or more auxiliary machine aggregates in one or more positions along the shaft line 2 can be provided. When the driver section 11 comprises a gas turbine engine, for instance, the one or more auxiliary machines can be arranged on the cold side of the gas turbine engine, i.e. the side of the gas turbine engine wherein the compressor section and the air inlet are positioned, or on the hot side of the gas turbine engine, i.e. the side of the gas turbine engine wherein the turbine(s) and exhaust gas discharge are positioned. The auxiliary machine(s) or machine aggregate(s) can be also arranged in an intermediate position between the driver and driven machines, for example between the gas turbine engine of driver section 11 and the gas compressor section 13 or between two compressors of the gas compressor section 13.
Exemplary embodiments can include a helper arranged adjacent the gas compressor section 13. Advantageously, in this way the helper can be used to more efficiently drive the gas compressor section 13 into rotation in case of failure of the main driver section 11. For instance, the helper can be located along shaft line 2 between the driver section 11 and the gas compressor section 13. Especially in configurations where a single-shaft gas turbine engine is envisaged, such as in FIG. 5, the helper can be located on a side of the driver section 11 and the gas compressor section 13 can be arranged at the opposite side of said compressor section.
A machine, e.g. an electric machine, suitable for operating in a helper and/or starter and/or generator mode can be arranged on a side of the gas compressor section 13 opposite to the driver section 11, i.e. the gas compressor section 13 can be located along shaft line 2 in an position between the driver section 11 and the auxiliary machine. Power from the driver 11 does not require to flow through the auxiliary machine in this case. In order to improve accessibility to the compressor section, in some alternative embodiments, arranging the compressor section at the end of the compressor train 3 may, however, be preferable.
A helper can include an electric motor, or a different driver, for instance an expander, or else a steam turbine, a reciprocating engine, such as a diesel engine, or a reciprocating gas engine, for instance.
In some embodiments the auxiliary machine aggregate can include an electric starter and an electric helper. In some embodiments the helper can be configured as a helper/generator.
In some embodiments, a single electric machine selectively operating as a starter, as a helper or as a generator can be preferred, since a more compact compressor train can thus be configured. In other embodiments, separate electric machines are provided to function as starter and as helper. The configuration thus obtained is redundant and leads to improved availability. In some embodiments, a starter can be provided to accelerate a gas turbine engine from zero to a first rotational speed, prior to igniting the turbine. Once the first rotational speed has been achieved, the helper can take over the function of turbine acceleration up to e.g. 60% or 70% of the rated turbine speed. The turbine can then be started and further accelerated providing power to the shaft line 2 in combination with the helper, until the rated rotational speed is achieved.
In some embodiments an electric motor can be used as a starter or as a starter/generator and a separate machine using a different source of power, such as a steam turbine or an expander (for instance a CO₂or an ORC expander) can be used as a helper.
Between each pairs of sections or aggregates sequentially arranged along the shaft line 2 as shown in FIGS. 1, 2, 3, 4 and 5 a transmission 15 is provided. According to some embodiments the transmission 15 may include a simple shaft. In some exemplary embodiments, a transmission 15 can include two or more shafts or shaft portions. Consecutive shaft portions can be coupled to one another by means of a respective joint. In some embodiments rigid joints, or else flexible joints, or combined rigid and flexible joints can be arranged along the same transmission 15 between two sequentially arranged sections or machine aggregates. For instance, each transmission 15 in the schematic of FIG. 1 can include a simple shaft, or else a central shaft which is mechanically coupled to the driver section 11 and to the gas compressor section 13 by means of respective joints. Joints, such as flexible joints, can be particularly useful to adjust axial or angular misalignments between rotary machines.
In some embodiments, a clutch can be provided in one, some or all transmissions 15 along shaft line 2. This allows disconnection of one or some of the rotary machines arranged along shaft line 2.
According to some embodiments, one or more transmissions 15 along shaft line 2 may include a speed manipulation device. As understood the term “speed manipulation device” can be understood as any device which has at least one inlet shaft and at least one outlet shaft, and wherein the rotational speed of the outlet shaft is or can be different from the rotational speed of the inlet shaft. Exemplary embodiments of speed manipulation devices can be gearboxes with a fixed transmission ratio, or else gearboxes with a variable transmission ratio. The gearbox can include an epicyclic gear train, i.e. a train of gears in which the axis of one gear revolves round the axis of another gear. In other embodiments the gearbox can comprise a simple gear train.
In other embodiments, the speed manipulation device can include a variable speed coupling. As used herein the term “variable speed coupling” can be understood as a coupling wherein the ratio between an inlet shaft and an outlet shaft can vary, either continuously or step-wise. For instance, in some embodiments the variable speed coupling can include a Vorecon variable speed coupling, available from Voith Turbo GmbH & Co. KG, Crailsheim, Germany. According to other embodiments, the variable speed coupling can comprise a magnetic continuously variable transmission, a friction or a hydro-viscous variable transmission.
In general terms, therefore, the term “speed manipulation device” can encompass both devices which provide a fixed transmission ratio, as well as devices which provide a variable and adjustable speed transmission ratio, between the inlet shaft and the outlet shaft.
Speed manipulation devices, and in particular variable speed couplings can be particularly advantageous when different rotational speeds are useful or necessary for different machines arranged along shaft line 2. For instance, the gas compressor section 13 can comprise two or more compressors, which require to be operated at different speeds. A first compressor can be mechanically coupled to the driver section 11 directly, such that the rotational speed of the driver is substantially the same as the rotational speed of the compressor. A speed manipulation device can be arranged between the first compressor and the second compressor, such that the second compressor can be driven at a rotational speed different from the rotational speed of the first compressor. If a variable speed coupling is used, the second compressor can be driven at a variable speed, even if the driver and the first compressor rotate at a constant speed.
Single-compressor trains wherein the gas compressor section 13 comprise a single compressor can also take advantage from the use of a variable speed coupling arranged between the gas compressor section 13 and the driver section 11, e.g. if the driver is controlled to rotate at a fixed or substantially fixed rotational speed, while the compressor requires speed variations depending upon requirements of the LNG process.
When more compressors are provided, by arranging the speed manipulation device as far as possible from the driver section 11, losses caused by the speed manipulation device are reduced, since less power flows through the speed manipulation device.
In some embodiments a variable speed coupling can be used to control rotation of one or more driven machines, including compressors of gas compressor section 13 and possibly one or more auxiliary machines, without changing the speed of the driver. Adjustable transmission ratios can be used e.g. when the driver is an electric motor rotating at a fixed rotational speed, set by the frequency of the electric power distribution grid, or when a driver is used, the efficiency whereof is strongly dependent upon the rotational speed thereof, i.e. the efficiency whereof is strongly dependent upon the rotational speed.
The gas compressor section 13 can include a variable number of compressors. In FIG. 18 an embodiment is schematically shown, wherein the gas compressor section 13 comprises a single compressor 125.1. According to other embodiments the gas compressor section 13 can include two compressors 125.1, 125.2, as shown in FIG. 19. In yet further embodiments, three compressors 125.1, 125.2, 125.3 can be arranged in the gas compressor section 13, as illustrated in FIG. 20. A four-compressor arrangement including four compressors 125.1, 125.2, 125.3, 125.4 is shown in FIG. 21. A larger number of compressors is not excluded, but may involve rotor-dynamic difficulties.
Each gas compressor can comprise either axial stages, radial (typically centrifugal) stages, or both axial and centrifugal stages in a single common casing. In this case, the compressor is called mixed axial-centrifugal compressor. In preferred embodiments, a mixed axial-centrifugal compressor one or more upstream stage(s) which are axial stages, and one or more downstream stages which are radial (centrifugal) stages. This may be beneficial because the axial stages are usually capable of processing a larger volumetric flow rate, while the centrifugal stages are usually capable of providing more compression capability with respect to axial compressor stages.
In some embodiments, a mixed axial-radial compressor can be used to compress the mixed refrigerant in an APCI® propane/mixed refrigerant LNG system described in detail below later on.
The terms upstream and downstream as used herein are referred to the general direction of the gas flow along the compressor, unless differently specified. The terms axial and radial as used herein are referred to the orientation of the rotation axis of the compressor, unless differently specified.
Between sequentially arranged compressors a mechanical transmission 127.i (i=1 to 3) is arranged. Each mechanical transmission may include or may not include a speed manipulation device, such as for instance a variable speed transmission, or else a gear box with a fixed transmission ratio, as mentioned above. Speed manipulation devices can be envisaged whenever two or more sequentially arranged compressors on the same shaft line 2 shall rotate at different rotational speeds. In further embodiments, one or each mechanical transmission 127.i (i=1 to 3) can comprise a clutch to allow the disconnection of one or more compressors from the gas compressor section 13, for example for maintenance activities. In a further embodiment, one some or all mechanical transmissions 127.1 (i=1 to 3) can comprise a mechanical rigid or flexible joint.
One or more auxiliary machines can be arranged between two adjacent compressors. For instance, a starter, a helper or an electric generator, or a multi-functional electric machine, e.g. acting as a starter and/or as a helper and/or as an electric generator, depending upon the operating conditions of the compressor train, can be arranged between a pair of sequentially arranged compressors. When the gas compressor section 13 comprises a clutch, a portion of the train 1 can be disconnected so to make it independent from the other section(s). This disconnection can be used for disconnecting a main driver 11, for example a gas turbine, from the rest of the train for the periodical maintenance; if the train 1 comprises a helper-motor, the gas compressor section 13 can be maintained operative by means of said helper-motor.
Each compressor 125.i can be one of a positive-displacement compressor and a dynamic compressor. A positive-displacement compressor can be a reciprocating compressor, for instance. A reciprocating compressor can be a single-effect reciprocating compressor or a double-effect reciprocating compressor. A reciprocating compressor may, moreover, have a single or a multiple cylinder-piston arrangement.
A dynamic compressor can be a centrifugal compressor or an axial compressor or a mixed axial-centrifugal compressor. A combination of one or more positive-displacement compressors and/or one or more dynamic compressors can be arranged in the same compressor train.
In some embodiments, an axial compressor comprises (FIG. 22) a plurality of stages, each including a set of stationary (i.e. non-rotating) vanes 147 and a set of rotary blades 149. Stages of rotary blades are alternated by stages of stationary vanes. According to some exemplary, non-limiting embodiments, the axial compressor comprises from 1 to 15 stationary stages and from 2 to 16 rotary stages. The stationary vanes of one, some or all the sets of stationary vanes can be variable stationary vanes, i.e. their angular position can be adjustable around a respective radial axis. Actuators 151 can be provided for varying the angular position of the stationary vanes. Stationary vanes having a variable geometry may contribute to improve the overall efficiency of the axial compressor, specifically when the operating parameters of the natural gas liquefaction process vary over time.
Axial compressors can be used alone or in combination with in-between bearings or overhung centrifugal compressors or both. In some embodiments axial compressors may provide for high flow rate and high efficiency.
Centrifugal compressors of the gas compressor section 13 can be vertically split compressors, i.e. so-called barrel type compressors. Vertically split compressors are particularly efficient when high gas pressures must be achieved.
In other embodiments, the compressors can be horizontally split compressors. Horizontally split compressors are particularly advantageous in terms of maintenance, since the compressor bundle, i.e. the inner components of the compressor, can be removed from the outer casing without the need for removing other machinery arranged along the shaft line 2. In preferred embodiments, when two or more compressors are arranged in the gas compressor section 13, a combination of one or more vertically split compressors and one or more horizontally split compressors can be envisaged.
Horizontally split compressors are provided with compressor diaphragms and a compressor rotor arranged in a casing 151, which is comprised of at least two casing portions 151.1, 151.2 matching along a horizontal plane P-P, see FIG. 23. The diaphragms are normally divided into upper and lower portions respectively configured to be positioned in the upper and lower casing portions 151.1, 151.2. Access to the interior of the compressor, and removal of diaphragm components, rotor, bearings and other machine components from the casing is easy, since this requires only lifting of the upper casing portion 151.1 without requiring dismantling of adjacent machinery along shaft line 2.
A vertically split compressor is provided with a compressor rotor and a compressor bundle arranged in a casing 153 (FIG. 24), comprised of a central barrel 153.1 and two casing end portions 153.2, 153.3. One or both casing end portions 153.2, 153.3 can be removably coupled to the central barrel 153.1 along respective vertical planes P1-P1, P2-P2. The compressor bundle and rotor can be removed from the central barrel 153.1 by opening either one or the other of said casing end portions 153.2, 153.3. In other embodiment, one of the end portions 153.2, 153.3 is monolithically connected to the central barrel 153.1, i.e. formed (e.g. forged) as a single component.
If a vertically split compressor and a horizontally split compressor are provided in the gas compressor section 13, in some advantageous embodiments the vertically split compressor is arranged at the end of the shaft line, such that access to the interior thereof is possible from the front end of the train, without requiring dismantling of other machinery on the shaft line 2.
Each compressor may have one or more compressor stages. Each centrifugal compressor can have an in-between bearings or an overhung arrangement. As understood herein the “in-between bearing” arrangement can be understood as an arrangement wherein one or more compressor stages are arranged between end bearings. An in-between bearing arrangement is also referred to as a “beam type” arrangement. One or more centrifugal impellers are mounted on a shaft for rotation and the shaft is supported at opposite sides by respective bearings.
As understood herein the “overhung” arrangement can be understood as an arrangement wherein one or more compressor impellers are mounted on a shaft, which is supported for rotation by bearings which are located on one and the same side of the impellers. Overhung arrangements may provide advantages over in-between arrangements, since less components are required.
A portion of a centrifugal multi-stage compressor comprised of a plurality of compressor stages in an in-between arrangement is schematically shown in FIG. 25. Each compressor stage comprises a rotating impeller 155 and a diffuser 157. Each compressor stage but the last one further comprises a return channel. The rotating impeller 155 comprises a hub 155.1 and a plurality of blades 155.2.
The impeller can be a shrouded impeller, or an unshrouded impeller. A shrouded impeller comprises a shroud which forms closed flow passages between adjacent impeller blades.
Each blade can be a two-dimensional or a three-dimensional blade. A three-dimensional (or 3D-blade) means a twisted blade (three-dimensional curvature) and two-dimensional (or 2D-blade) means constant blade angle from hub to shroud (bi-dimensional curvature). A compressor can include only 3D-impellers, i.e. impellers having 3D-blades, only 2D-impellers, i.e. impellers having 2D-blades, or a combination of 3D-impellers and 2D-impellers.
The compressor may include only shrouded impellers, or only unshrouded impellers. In other embodiments, both shrouded impellers and unshrouded impellers can be combined in the same compressor, such as in HPRC (High Pressure Ratio Compressors), wherein unshrouded impellers are preferably positioned in most upstream stages and shrouded impellers are positioned most downstream stages.
Each diffuser can be a bladed diffuser or an unbladed diffuser. In a bladed diffuser stationary blades (i.e. blades which do not rotate with the impeller) are arranged within the diffuser to orient the flow exiting the impeller. In some embodiments variable-geometry bladed diffusers can be provided. A variable-geometry diffuser comprises diffuser blades each or some of which comprises at least an adjustable blade portion, the inclination whereof can be adjusted to suite different operating conditions.
Between adjacent impellers of a pair of sequentially arranged compressor stages a return channel 159 re-directs the gas flow exiting the diffuser of the upstream stage towards the inlet of the impeller of the downstream stage.
Compressors 125 of the gas compressor section 13 can be single-phase, straight-through compressors as schematically shown in FIG. 25. Gas enters the compressor through an inlet 122 and exits the compressor at a discharge side 124, all compressor stages being arranged between the inlet 122 and the discharge side 124.
In some embodiments, one or more compressors of the gas compressor section 13 can be double-flow compressors, as shown in FIG. 26, comprised of a first inlet 122.1 and a second inlet 122.2 and two sets of substantially symmetrically arranged compressor stages, each comprising one or more impellers and relevant diffusers and return channels. A combined discharge 124 collects the compressed gas from the two most downstream compressor stages of the two sets of symmetrically arranged compressor stages. According to some embodiments, double-flow compressors may have advantages over straight through compressors. The inlet flow is split into to partial inlet flows entering the compressor at the first inlet 122.1 and second inlet 122.2. The inlet speed is reduced and the axial loads on the shaft are balanced. In some embodiments a balance drum can thus be dispensed with. In other embodiments, each of those substantially symmetrically arranged set of compressor stages has its own discharge volute and compressed gas flows are recollected together downstream of the discharge volutes.
In some advantageous embodiments, cooling of the gas during the compressor process can be provided, to keep operating temperatures below material or process limits and/or to improve the overall efficiency of the compressor. In exemplary embodiments, a multi-phase compressor can be envisaged for this purpose, wherein cooling nozzles permit partially compressed, hot gas to be extracted from a first compressor phase. The extracted gas can be cooled in an external heat exchanger and finally returned through a cooler return to the inlet of a subsequent compressor phase.
FIG. 27 schematically illustrates a straight-through compound two-phase centrifugal compressor comprising a first compressor phase 125A and a second compressor phase 125B. By way of example, the first compressor phase 125A comprises three compressor stages and the second compressor phase 125B comprises two compressor stages. According to other embodiments, a different number of compressor stages for each compressor phase can be provided. A cooler outlet 161 collects partly compressed, hot gas from the diffuser of the most downstream compressor stage of compressor phase 125A. The cooler outlet 161 is in fluid communication with a heat exchanger 162, where the partially compressed gas is cooled, e.g. by heat exchange against a cooling fluid, such as air or water, or else a flow of refrigerant from the LNG process. Cooled, partly compressed gas is returned to the most upstream compressor stage of the second compressor phase 125B through a cooler return 163 and further sequentially compressed in the compressor stages of the second compressor phase 125B.
In some embodiments, a multi-stage straight-through compressor as shown for instance in FIG. 25 or 27 may provide higher compression ratios than a single stage compressor.
While in FIG. 27 the multi-phase compressor configuration with intermediate cooling is illustrated in a straight through compressor configuration, similar intermediate cooling arrangements can be provided also in a double-flow compressor as shown in FIG. 26. Different arrangements of extraction(s) of partially compressed gas from the compressor and different arrangements of injection(s) of partially compressed gas, in the compressor can be provided, with or without cooling of the gas prior to re-injection.
For balancing the axial thrusts caused by the gas compression action on the compressor shaft, in some arrangements the compressor stages are arranged in a back-to-back configuration, as schematically shown in FIG. 28. In back-to-back compressors the compressor stages are divided into two sets or phases 125C, 125D, and the impellers of the two phases are back-to-back, the impeller inlets of the first set facing opposite the impeller inlets of the second set. Gas enters the compressor 125 at a first inlet 122.1 and partly compressed gas exits the first compressor phase 125C through a first discharge 124.1 and enters the first impeller of the second compressor phase 125D through a second inlet 122.2. Compressed gas is then delivered through a second discharge 124.2. In some embodiments a heat exchanger 162 can be arranged between the first discharge 124.1 and the second inlet 122.2, such that partly compressed gas can be cooled prior to entering the second compressor phase 125D, increasing the overall efficiency of the back-to-back compressor.
Especially straight-through compressors can include a balancing piston to balance the axial thrust generated by the gas being processed by the impeller(s) on the shaft, as shown at 126 in FIG. 25 by way of example.
Depending upon the LNG cycle, one or more compressors in gas compressor section 13 can be provided with side stream inlets or nozzles, such that a main compressed gas stream can be split into a plurality of side streams, which are expanded at different pressure levels to exchange heat with the natural gas and/or with a further refrigerant gas. The lowest pressure stream is returned at the gas inlet of the compressor while the side streams at intermediate gas pressures are returned to intermediate compressor stages through said side stream nozzles. FIG. 29 illustrates an exemplary embodiment of side stream nozzles in a straight through compressor, but it shall be understood that a side-stream nozzle arrangement can be provide in any one of the above mentioned compressors, for instance in a double-flow compressor or in a back-to-back compressor arrangement. In FIG. 29 a five-stage centrifugal compressor is shown by way of example, which comprises a compressor inlet 122 and a compressor discharge 124. Side stream nozzles 122A, 122B, 122B are shown at the inlet of the second, third and fourth compressor stage.
One or more compressors of gas compressor section 13 can be provided with inlet guide vanes at one, some or all compressor stages. The inlet guide vanes of one, some or all compressor stages can be variable inlet guide vanes, i.e. actuators can be provided to vary the geometry of the vanes according to the operating conditions of the compressor. In FIG. 29 inlet guide vanes are shown by way of example at 171, but it shall be understood that similar inlet guide vanes can be provided also in combination with the other compressor configurations described in connection with FIGS. 25, 26, 27 and 28.
Any one of the above described compressors can be configured as vertically split or horizontally split compressors.
In the embodiments illustrated in FIGS. 25, 26, 27, 28 and 29 the compressor comprises a central shaft or beam whereon the impellers are mounted on the shaft to form a rotor. In some embodiments, impellers can be stacked one onto the other and torsionally coupled to one another by means of Hirth coupling or the like. A central rod axially locks the impellers thus forming a rotor. Both said configurations are sometimes named beam-type compressors; the rotor is formed by an axial beam and impellers mounted thereon for co-rotation.
In FIGS. 25, 6, 27, 28 and 29 in-between-bearings compressor arrangements are shown, wherein the compressor impellers are placed between bearings arranged at the ends of the beam or shaft which supports the compressor impellers. In other embodiments, one or more impellers can be overhung. The compressor may include only overhung impellers or a combination of overhung and in-between-bearings impellers.
While different kinds of compressors have been described separately in connection with FIGS. 22, 26, 27, 28 and 29, compressors of different typology can be combined on the same shaft line. One or more compressors can be arranged in the same casing. For example, a compressor can have in the same casing, and arranged on the same shaft line, both one or more beam-type impellers and an overhung impeller, in combination. Intercooling can be provided between sequentially arranged compressors or compressor phases for improved efficiency.
In embodiments disclosed herein a compressor can be integrated in a casing along with a respective electric motor.
In yet further embodiments, the gas compressor section 13 can comprise one or more integrally geared compressors. Differently from beam-type compressors, integrally-geared compressors comprise a plurality of compressor stages mounted on a plurality of shafts, the shafts being drivingly coupled to a central bull gear and can rotate at different rotational speeds. FIG. 30 illustrates a schematic arrangement of an integrally geared compressor. In the exemplary embodiment of FIG. 30 the integrally geared compressor comprises four compressor stages, each comprised of a respective impeller 155A, 155B, 155C, 155D. The impellers 155A, 155B of the first and second stage are mounted overhung on a first shaft 172A and the impellers 155C, 155D are mounted overhung on a second shaft 172B. All impellers 155A-115D can have different sizes. The two shafts 172A, 172B are mechanically coupled through respective toothed wheels to a bull gear 173. The arrangement allows the impellers of different stages to rotate at different rotational speeds. Each compressor stage can be provided with inlet guide vanes, one, some or all of which can be variable inlet guide vanes. Bladed or un-bladed diffusers can be used in one or more of each compressor stage. Side streams and/or intermediate cooler outlets and cooler inlets can be provided in an integrally geared compressor in quite the same way as disclosed above in connection with beam-type compressors described above.
In some embodiments integrally geared compressors can be advantageous as they can provide higher efficiency since different compressor stages can rotate at different rotational speeds. Highly compact arrangements can be achieved. Each compressor stage of an integrally geared compressor can moreover be easily provided with variable inlet guide vanes.
Integrally geared compressors can be combined with in-between bearings centrifugal compressors or overhung centrifugal compressors as described above on the same shaft line, or with axial compressors.
Axial compressors, as well as centrifugal compressors, may be provided with side streams, to provide refrigerant gas at multiple pressure levels.
One, some or all compressors or compressor phases may include one or more gas extraction ducts (also referred to as “extractions” herein), to provide partially compressed gas for various needs. For instance, partially compressed natural gas can be extracted at a required intermediate pressure to be used as fuel in one or more gas turbine engines used as drivers of one or more compressor trains.
As mentioned above, the gas compressor section 13 can be comprised of a variable number N of compressors, wherein N is usually comprised between 1 and 4, as shown in FIGS. 18, 19, 20 and 21. Each compressor can be alternatively a vertically split or a horizontally split compressor or an integrally geared compressor. Each compressor can be an integrally geared compressor or a beam-type compressor or an overhung compressor. Moreover, each compressor can be a single phase or multi-phase compressor. Each compressor can have a simple or a back-to-back configuration. Each compressor can be a simple straight through compressor or a double-flow compressor. Intercooling can be provided between compressor phases or between serially arranged compressors.
Moreover, if two or more compressors are provided in the gas compressor section 13, they may all be different from one another. In other embodiments, there may be two, three or four compressors having the same configuration. For instance, if two compressors are provided, they can be both vertically split, both horizontally split, or one can be vertically split and the other can be horizontally split.
Moreover, while in the above detailed description reference was made to dynamic compressors, positive displacement compressors, such as reciprocating compressors can be used, possibly in combination with dynamic compressors.
In FIGS. 24, 25, 26, 27, 28 and 29 gas inlet and outlet ducts have been represented as upwardly oriented or downwardly oriented for mere pictorial reasons. It shall be understood, however, that the arrangement of the gas inlet and outlet ducts of each compressor, including any intermediate gas outlet and gas inlet fluidly connecting different phases of a compressor, as well as any side stream duct or extraction duct can be oriented upwardly or downwardly with respect to the rotation axis of the respective compressor.
Inlet duct(s) and/or outlet duct(s) can be vertical or inclined, i.e. can form an angle equal to or different from 0° with a vertical direction. The vertical direction, as understood herein, is the direction of gravity. In some embodiments, inlet and/or outlet ducts can be arranged sideways, for instance horizontally, i.e. such as to form an angle of about 90° with the vertical direction and can be arranged symmetrically with respect to a horizontal plane containing the rotation axis of the compressor. In some embodiments, upwardly oriented inlet and/or outlet gas ducts may have the advantage of simplified erection, since they do not need a baseplate. In other embodiments downwardly oriented gas ducts may be advantageous in terms of easiness of mounting and demounting interventions, especially in case of horizontally split compressors. Sideways arrangement may result in simpler duct layout.
In other embodiments, one, some or all inlet duct(s), outlet duct(s), side stream(s) and/or extraction(s) may be approximately horizontally oriented.
In general terms, let C1, C2, C3, be three compressors having different configurations and service, for instance in terms of shaft structure (beam-type vs. integrally geared), casing structure (horizontally vs. vertically split), number of stages, number of phases, kind of impeller arrangements (back-to-back or straight in line), number of side stream and/or extraction nozzles (0, 1 or more side stream nozzles).
The gas compressor section 13 can have any one of the following combinations of compressors, wherein the symbol “-” schematically indicates a mechanical coupling between sequentially arranged compressors:
A. Compressor section with one compressor only:

- C1

B. Compressor section with two compressors:

- C1-C1
- C1-C2

C. Compressor section with three compressors:

- C1-C1-C1)
- C1-C1-C2
- C1-C2-C1
- C1-C2-C2)
- C2-C1-C1
- C1-C2-C3

D. Compressor section with four compressors:

- C1-C1-C1-C1
- C1-C1-C1-C2
- C1-C1-C2-C1
- C1-C2-C1-C1
- C1-C1-C2-C2
- C1-C2-C1-C2
- C1-C2-C2-C1
- C1-C2-C2-C2
- C1-C1-C2-C3
- C1-C2-C1-C3
- C1-C2-C3-C3
- C1-C3-C2-C1)
- C1-C3-C2-C3)
- C1-C3-C3-C2
  wherein compressors C1, C2, C3 are different from one another and wherein each compressor C1-C3 can be:
- 1. a positive-displacement compressor, such as a reciprocating compressor, selected from the group consisting of: a single-stage reciprocating compressor and a multi-stage reciprocating compressor, wherein the multi-stage reciprocating compressor can be a single-effect or a double-effect reciprocating compressor;
- 2. a dynamic compressor, selected from the group consisting of: axial compressors and centrifugal compressors; wherein
  - the axial compressor can comprise one or more of the following features: a plurality of sequentially arranged stages; one or more sets of variable-geometry stationary vanes; variable inlet guide vanes; an axially-split casing; a vertically-split casing; one or more side streams; one or more extraction nozzles;
  - the centrifugal compressor can comprise one or more of the following features: a single compressor stage; a plurality of compressor stages; an integrally-geared compressor arrangement; an in-between bearing arrangement; an overhung arrangement; a single impeller or a plurality of impellers per compressor stage; a combination of one or more overhung impellers and one or more in-between-bearings impellers; one or more 2D-impellers; one or more 3D-impellers; one or more shrouded impellers; one or more unshrouded impellers; a combination of two or more kinds of the above mentioned impellers; a vertically-spilt casing; a horizontally-split casing; a straight through arrangement; a double-flow arrangement; a back-to-back arrangement; a multi-phase arrangement; one or more side streams; one or more extractions; one or more intermediate cooling arrangements between sequentially arranged compressor phases; variable inlet guide vanes at one or more compressor stages; one or more bladed diffusers; one or more unbladed diffusers; one or more stationary diffusers; one or more variable-geometry diffusers; one or more balancing drums; a central shaft with a plurality of impellers mounted thereon for co-rotation; a plurality of mutually stacked impellers and a central axial rod connecting the impellers to one another; one or more sealing arrangements, including single, tandem or triple dry gas seals, mechanical seals, oil film type seals, air seals; one or more oil film bearings, including hydrodynamic bearings and hydrostatic bearings, magnetic bearings, rolling bearings.

It shall be understood that, while in FIG. 1 the gas compressor section 13 and the driver section 11 are represented as two separate entities located in two separate positions along shaft line 2, if either the driver section 11 or the gas compressor section 13 or both contain more than one component, compressors and drivers can be distributed along the shaft line such that a driver is arranged between two compressors, and/or a compressor is arranged between two drivers.
While in the above description some exemplary embodiments of compressor trains and relevant machinery have been disclosed, a more comprehensive disclosure of several configurations of a compressor train according to the present disclosure are given here below. Each compressor train disclosed hereafter can include additional machinery, ancillary devices or the like, such as intercoolers between sequentially arranged compressors or compressor phases, air chillers at the inlet of the gas turbine engine, waste heat recovery heat exchangers at the discharge of one or more gas turbine engines, air filters or air treatment equipment, and the like.
Since a large number of machine arrangements are possible, they will not be described individually in detail. Rather, a flow chart and a program code will be described hereafter, which the skilled in the art can use to generate a plurality of possible machine arrangements, each of which falls within the scope of the present disclosure. It shall be understood that each and every machine arrangement and configuration which is generated by the flow chart and code described herein is to be considered as fully disclosed by the present disclosure, even if it is not explicitly listed in one of the exemplary lists shown below.
As noted above, a compressor train can comprise a driver section and compressor section. The driver section usually comprises one driver machine, or prime mover. The compressor section can comprise one or more compressors.
Usually the compressor train comprises a main driver machine, at least a compressor and, optionally, an auxiliary machine. The auxiliary machine can be a driven machine, i.e. a machine which absorbs mechanical power provided by a driver machine. The auxiliary machine can alternatively be a driving machine, i.e. a machine which generates mechanical power and which can be used as a starter and/or as a helper for the main driver or prime mover, providing additional mechanical power to drive the compressor train.
The auxiliary machine may also include an electric generator, which can convert mechanical power into useful electric power.
Each compressor train can further comprise two or more main machines and, optionally, a certain number of secondary machines such as a gear-box, a clutch, a flexible joint, a rigid joint, a variable speed transmission device, etc.
The main machines can be of three main categories: driver machines, compressors, or auxiliary machines. The auxiliary machine can also be in turn a compressor.
In some embodiments, the compressor train can comprise two main machines, i.e. a driver machine and a compressor.
In further embodiments, the compressor train can comprise three main machines, i.e. a driver machine, a first compressor and an auxiliary machine which can in turn be a further compressor.
In yet further embodiments, the compressor train can comprise four main machines, namely e.g. a driver machine, a first compressor, a second compressor and an auxiliary machine which can in turn be a further compressor.
In some further embodiments, the compressor train can comprise five main machines, such as e.g. a driver machine, a first compressor, a second compressor, a third compressor and an auxiliary machine which can in turn be a further compressor.
The main machines and the auxiliary machines can be of different types and can be arranged along the shaft line in different positions. Therefore a large number of permutations of these machines is possible. A purpose of the present invention is thus to provide a method of generation, and a generator, able to generate and disclose all possible arrangements of said compressor train. In FIGS. 42A, 42B, 42C, 42D and 42E, a flow chart is shown which represents the architecture of said method of generation. The flow chart is split in five sections shown in FIGS. 42A, 42B, 42C, 42D and 42E for the sake of clarity
The outcome of the method of generation is a list of arrangements of main machines in the compressor train. Said list of arrangements depends on the number “m max” of main machines constituting the compressor train and the number of different types of main machines which can be combined in the compressor train.
In some embodiments, the method is configured to generate four lists: a first list is generated if the number of main machines in the compressor train is two, i.e. if the compressor train contains two main machines; a second list is generated if the number of main machines in the compressor train is three, i.e. if the compressor train contains three main machines; a third list is generated if the number of main machines in the compressor train is four, i.e. if the compressor train contains four main machines; and a fourth list is generated if the number of machines of the compressor train is five, i.e. if the compressor train contains five main machines.
Referring now to FIGS. 42A, 42B, 42C, 42D, 42E, the maximum number “m max” of main machines comprised in the compressor train and the maximum number of types of main machines per each category (driver machine, compressor, auxiliary machine), are set as input of the method in an input section 2001.
The input section 2001 comprises a step 2006 where the total number “m max” of main machines of the compressor train is defined. The input section 2001 further comprises a step 2007 wherein the maximum number of types of main machines per each category is set. More specifically: “D” is the maximum number of types of driver machines, “C” the maximum number of types of compressors, and “M” is the maximum number of types of auxiliary machines or further compressors.
In the exemplary embodiment disclosed herein, “m max” can be 1, 2, 3, 4 or 5. “D”, “C” and “M” are integers equal to or larger than 1.
Each row of the lists that can be generated by the method is identified by a specific value of an index “r”, wherein “r” is an integer equal to or greater than 1.
For each row of a list, the main machines are arranged in a specific position of the shaft line. The specific position of the main machines along the shaft line (from left to right) is defined by the indexes “i”, “j”, “h”, “g” or “k”. Each of these indexes is an integer and can take a value from 1 to “m max”. Each main machine has its corresponding index: “i” is the index of driver machine, “j” is the index of the first compressor, “h” is the index of the second compressor, “g” is the index of the third compressor, “k” is the index of the auxiliary machine or further compressor.
For example, if i=2, j=1, h=3 and k=4, the driver machine will be arranged in the second position (i=2) along the shaft line, the first compressor in the first position (j=1), the second compressor in the third position (h=3) and the auxiliary machine or further compressor in the fourth position (k=4). I.e. along the shaft line the machines will be arranged as follows: first compressor, driver machine, second compressor and auxiliary machine or further compressor.
Each category of main machines can be of one or more types. The type of each main machine is defined by an index. “x” is the index defining the type of driver machine. “y” is the index defining the type of the first compressor. “s” is the index defining the type of the second compressor. “v” is the index defining the type of the third compressor. “z” is the index defining the type of the auxiliary machine or of the further compressor.
For example, if there are nine different types of driver machines, i.e. if nine different kinds of driver machines can be alternatively used to drive the train, the value of index “x” ranges from 1 to 9 and each value of “x” identifies a specific type of driver machine. For instance: x=1 identifies a 1-spool gas turbine engine, x=2 identifies a 1,5-spool gas turbine engine, x=3 identifies a 2-spool gas turbine engine, x=4 identifies a 2,5-spool gas turbine engine, x=5 identifies a 3-spool gas turbine engine, x=6 identifies a fixed speed electric motor, x=7 identifies a variable speed electric motor, x=8 identifies a steam turbine and x=9 identifies a reciprocating gas engine, i.e. a reciprocating internal combustion engine using gas a gaseous fuel.
The flow chart of FIGS. 42A, 42B, 42C, 42D, 42E comprises four main generating sections 2002, 2003, 2004, 2005, representing respective generating routines. These four sections of the flow chart are used alternatively, depending upon the number of main machines of the compressor train. More specifically: first section 2002 (i.e. the routine represented by section 2002) is executed if the compressor train has two main machines; second section 2003 is executed if the compressor train has three main machines; third section 2004 is executed if the compressor train has four main machines; fourth section 2005 is executed if the compressor train has five main machines.
Each generating section 2002, 2003, 2004, 2005 has three macro steps:

- a first routine cycle, labelled 2008, 2009, 2010, 2011 for each section 2002, 2003, 2004, 2005 respectively, for determining the values of the indexes “i”, “j”, “h”, “g” or “k”, i.e. for selecting the positions of each main machine along the shaft line;
- a second routine cycle, labelled 2012, 2013, 2014, 2015 for each section 2002, 2003, 2004, 2005 respectively, for determining the values of the indexes “x”, “y”, “s”, “v” or “z”, i.e. for selecting the types of main machines to be positioned in each position determined by the first routine;
- an outcome step labelled 2016, 2017, 2018, 2019 for each section 2002, 2003, 2004, 2005 respectively, for writing, for each row of one of the lists of compressor train configuration, the type of main machines and their position along the shaft line (from left to right).

In the first routine cycle 2008, 2009, 2010, 2011, the indexes “i”, “j”, “h”, “g”, “k” are varied from 1 to “m max” in order to be always different from one another and in order to cover all their possible combinations.
In the second routine cycle 2012, 2013, 2014, 2015, the index “x” is varied from 1 to “D”, the indexes “y”, “s”, “v” are varied from 1 to “C” and the index “z” is varied from 1 to “M”, in order to select all possible types of main machines for each category of main machine.
Each row of one of the lists is generated in blocks 2016, 2017, 2018, 2019.
In the outcome step 2016, 2017, 2018, 2019 the type and position along the shaft line (from left to right) of each main machine of the compressor train of a generic row “r” of the list of possible arrangements is specified as follows: D(x)=(r,i) which means that in the row “r” of possible machine arrangements the driver machine is a driver machine of the type “x” and is arranged in position “i”; C(y)=(r,j) which means that a compressor of the type “y” is arranged in the position “j” for in said arrangement of row “r”. The same reasoning applies to compressor C(s) and C(v). Moreover M(z)=(r,k) indicates that the auxiliary machine (which may be a further compressor) of the type “z” is arranged in position “k” for the arrangement of row “r”.
For example, with reference to the previous numerical examples, if x=3, i=2 and r=5, the meaning of D(3)=(5,2) will be: the arrangement of the fifth row has a 2-spool gas turbine in the second position of the shaft line (starting from the left).
The blocks 2020, 2021, 2022, 2023, 2024, 2025, 2026 and 2027 are used for changing and determining the value of the row index “r” of each list.
Finally, the blocks 2031 and 2032 identify respectively the entry and the exit of the flow-chart.
The train configuration generation method described so far and represented by the flowchart of FIGS. 42A, 42B, 42C, 42D, 42E can be easily implemented by any skilled man by means of any programming language, for example Visual Basic.
A way to implement said Visual Basic code is through a so called “macro” function of the well-known Microsoft® program called “Excel”.
For example, a new Excel file can be created having a first Excel sheet filled as follows, and a second sheet called “arrangements” wherein the list of arrangements will be written launching the Excel macro.


A	B	C	D	E	. . .

1	drivers	compressors	Auxiliary	Number of
			Machines or	machines per
			Further	arrangement:
			Compressors
2	D1	C1	M1		3
3	D2	C2	M2
4	D3	C3	M3
5	D4	C4	M4
6	D5	C5	M5
7	D6	C6	C1
8	D7	C7	C2
9	D8	C8	C3
10	D9	C9	C4
11			C5
12			C
13			C7
14			C8
15			C9
. . .

An Excel macro can be written with the following Visual Basic code, which implements the method of generation according to the present invention:


Sub arrangements( )
′Comment: D( ) is the specific type of Driver, C( ) is the specific type of Compressor, M( ) is the
specific type of Auxiliary Machines or Further Compressors
Dim D( ), C( ), M( )
‘Comment: i, j, h, g, k are the indexes used for selecting the specific position of the main
machine along the shaft line
′Comment: x, y, s, v, z are the indexes used for selecting the types of main machines to be
positioned
Dim r, i, j, k, h, g, x, y, s, v, z, m_max, Flag As Integer
′ read the value of “m_max”, thus the maximum number of Main Machine per train, in the cell
E2
M_max = Range(″E2″)
′Comment: read the different types of Drivers, starting from the cell A2 and going down
r = 1
With Range(“A1”)
Do

r = r + 1

Loop Until .Offset(r) = ″″

ReDim D(r − 1)

For r = 1 To UBound(D)

D(r) = .Offset(r).Value

′Comment: read the different types of Compressors, starting from the cell B2 and going down

r = 1

With Range(″B″)

Do

r = r + 1

Loop Until .Offset(r) = ″″

ReDim C(r − 1)

For r = 1 To UBound(C)

C(r) = .Offset(r).Value

′Comment: read the different types of Auxiliary Machines or Further Compressors, starting

from the cell C2 and going down

r = 1

With Range(″C1″)

Do

r = r + 1

Loop Until .Offset(r) = ″″

ReDim M(r − 1)

For r = 1 To UBound(M)

M(r) = .Offset(r).Value

′Comment: in a sheet called “arrangements”, elaborate the list of arrangements having two

main machines

If m_max = 2 Then

r = 1

i = 1

For i = 1 To m_max

	j = 1
	For j = 1 To m_max

If i <> j Then

	y = i
	For y = 1 To UBound(C)

	x = 1
	For x = 1 To UBound(D)

	Worksheets(″Arrangements″).Cells(1, i).Offset(r).Value = D(x)
	Worksheets(″Arrangements″).Cells(1, j).Offset(r).Value = C(y)
	r = r + 1

End If

′Comment: in a sheet called “arrangements”, elaborate the list of arrangements having three

main machines

ElseIf m_max = 3 Then

r = 1

i = 1

For i = 1 To m_max

	j = 1
	For j = 1 To m_max

k = 1

If i <> j Then

For k = 1 To m_max

If (k <> j And k <> i) Then

	z = 1
	For z = 1 To UBound(M)

	y = 1
	For y = 1 To UBound(C)

	x = 1
	For x = 1 To UBound(D)

	Worksheets(″Arrangements″).Cells(1, i).Offset(r).Value = D(x)
	Worksheets(″Arrangements″).Cells(1, j).Offset(r).Value = C(y)
	Worksheets(″Arrangements″).Cells(1, k).Offset(r).Value = M(z)
	r = r + 1

′Comment: in a sheet called “arrangements”, elaborate the list of arrangements having four

main machines

ElseIf m_max = 4 Then

r = 1

i = 1

For i = 1 To m_max

	j = 1
	For j = 1 To m_max

k = 1

If i <> j Then

	For k = 1 To m_max
	h = 1

If (k <> j And k <> i) Then

For h = 1 To m_max

If (h <> i And h <> j And h <> k) Then

	z = 1
	For z = 1 To UBound(M)

	s = 1
	For s = 1 To UBound(C)

	y = 1
	For y = 1 To UBound(C)

	x = 1
	For x = 1 To UBound(D)

	Worksheets(″Arrangements″).Cells(1, i).Offset(r).Value = D(x)
	Worksheets(″Arrangements″).Cells(1, j).Offset(r).Value = C(y)
	Worksheets(″Arrangements″).Cells(1, h).Offset(r).Value = C(s)
	Worksheets(″Arrangements″).Cells(1, k).Offset(r).Value = M(z)
	r = r + 1

End If

′Comment: in a sheet called “arrangements”, elaborate the list of arrangements having five

main machines

ElseIf m_max = 5 Then

r = 1

i = 1

For i = 1 To m_max

	j = 1
	For j = 1 To m_max

k = 1

If i <> j Then

	For k = 1 To m_max
	h = 1

If (k <> j And k <> i) Then

	For h = 1 To m_max
	g = 1

If (h <> i And h <> j And h <> k) Then

For g = 1 To m_max

	If (g <> i And g <> j And g <> k And g <> h) Then
	z = 1
	For z = 1 To UBound(M)

	s = 1
	For s = 1 To UBound(C)

	v = 1
	For v = 1 To UBound(C)

	y = 1
	For y = 1 To UBound(C)

	x = 1
	For x = 1 To UBound(D)

	Worksheets(″Arrangements″).Cells(1, i).Offset(r).Value = D(x)
	Worksheets(″Arrangements″).Cells(1, j).Offset(r).Value = C(y)
	Worksheets(″Arrangements″).Cells(1, h).Offset(r).Value = C(s)
	Worksheets(″Arrangements″).Cells(1, g).Offset(r).Value = C(v)
	Worksheets(″Arrangements″).Cells(1, k).Offset(r).Value = M(z)
	r = r + 1

	Next
	End If

End If

End Sub

In order to generate lists of compressor train arrangements according to the present disclosure, the above-described method of generation can be used assuming that:

- “D”=9, i.e. up to nine different kinds of driver machines can be used, wherein the driver machines are selected from the group consisting of:
  - 1-spool gas turbine, when x=1;
  - 1.5-spool gas turbine, when x=2;
  - 2-spool gas turbine, when x=3;
  - 2.5-spool gas turbine, when x=4;
  - 3-spool gas turbine, when x=5;
  - fixed speed electric motor, when x=6;
  - variable speed electric motor, when x=7;
  - steam turbine, when x=8;
  - reciprocating gas engine, when x=9;
- “C”=9, i.e. up to nine different compressor types can be used, and the first, second and third compressors are each selected from the group consisting of:
  - a single stage beam type centrifugal compressor, when y=1 or s=1 or v=1;
  - a single stage overhung type centrifugal compressor, when y=2 or s=2 or v=2;
  - a multi-stage straight-through centrifugal compressor, when y=3 or s=3 or v=3;
  - a multi-stage back-to-back centrifugal compressor, when y=4 or s=4 or v=4;
  - a multi-stage double-flow centrifugal compressor, when y=5 or s=5 or v=5;
  - a multi-stage centrifugal compressor with side streams and/or extraction, when y=6 or s=6 or v=6;
  - an integrally-geared centrifugal compressor, when y=7 or s=7 or v=7;
  - a straight-through axial compressor, when y=8 or s=8 or v=8;
  - an axial compressor with side streams and/or extractions, when y=9 or s=9 or v=9;
- “M”=14 and the auxiliary machines or further compressors (as noted above, the auxiliary machine of a compressor train can in turn be an additional compressor) are selected from the group consisting of:
  - an electric generator, when z=1;
  - an electric or steam helper, when z=2;
  - an electric or steam starter, when z=3;
  - an electric or steam starter-helper, when z=4;
  - an electric or steam starter-helper-generator, when z=5;
  - a single stage beam type centrifugal compressor, when z=6;
  - a single stage overhung type centrifugal compressor, when z=7;
  - a multi-stage straight-through centrifugal compressor, when z=8;
  - a multi-stage back-to-back centrifugal compressor, when z=9;
  - a multi-stage double-flow centrifugal compressor, when z=10;
  - a multi-stage centrifugal compressor with side streams and/or extraction/s, when z=11;
  - an integrally-geared centrifugal compressor, when z=12;
  - a straight-through axial compressor, when z=13;
  - an axial compressor with side streams and/or exteractions, when z=14;

The generation method for generating the compressor train configurations has been used for generating the lists of compressor train arrangements in the four cases, thus alternatively for m=2 (block 2028), m=3 (block 2029), m=4 (block 2030), or m=5 (block 2030 branch “N”).
For the sake of clarity, the nine types of driver machines are identified through acronyms, as follows:

- D1=1-spool gas turbine;
- D2=1.5-spool gas turbine;
- D3=2-spool gas turbine;
- D4=2.5-spool gas turbine;
- D5=3-spool gas turbine;
- D6=fixed speed electric motor;
- D7=variable speed electric motor;
- D8=steam turbine;
- D9=reciprocating gas engine;
  For the sake of clarity, the nine types of compressors are identified through acronyms, as follows:
- C1=a single stage beam type centrifugal compressor;
- C2=a single stage overhung type centrifugal compressor;
- C3=a multi-stage straight-through centrifugal compressor;
- C4=a multi-stage back-to-back centrifugal compressor;
- C5=a multi-stage double-flow centrifugal compressor;
- C6=a multi-stage centrifugal compressor with side streams and/or extractions;
- C7=an integrally-geared centrifugal compressor;
- C8=a straight-through axial compressor;
- C9=an axial compressor with side streams and/or extractions;
  For the sake of clarity, the fourteen types of auxiliary machines or further compressors are identified through acronyms, as follows:
- M1=an electric generator;
- M2=an electric or steam helper;
- M3=an electric or steam starter;
- M4=an electric or steam starter-helper;
- M5=an electric or steam starter-helper-generator;
- C1=a single stage beam type centrifugal compressor;
- C2=a single stage overhung type centrifugal compressor;
- C3=a multi-stage straight-through centrifugal compressor;
- C4=a multi-stage back-to-back centrifugal compressor;
- C5=a multi-stage double-flow centrifugal compressor;
- C6=a multi-stage centrifugal compressor with side streams and/or extraction/s;
- C7=an integrally-geared centrifugal compressor;
- C8=a straight-through axial compressor;
- C9=an axial compressor with side stream/s;

To provide a clearer understanding of the list of compressor train arrangements generated by the method of FIGS. 42A, 42B, 42C, 42D, 42E, sequentially arranged main machines of the compressor train are separated by a dash (“-”), as in the following example: D1-C1-M2-C4. The dash (“-”) schematically indicates a mechanical coupling between sequentially arranged main machines. In the actual compressor train each dash can be any one of several possible coupling arrangements. As mentioned above, two subsequently arranged machines of a compressor train can be drivingly coupled to one another for instance by a mechanical coupling arrangement selected from the following group: a shaft, a rigid coupling, a flexible coupling, a clutch, a gearbox, a variable speed transmission device.
The 162 compressor train arrangements generated by the method of generation when “m=2”, i.e. if the compressor train comprises two main machines, are listed here below. This list of arrangement is generated by generating section 2002 of FIG. 42A, 42B, 42C, 42D, 42E:
D1-C1; D2-C1; D3-C1; D4-C1; D5-C1; D6-C1; D7-C1; D8-C1; D9-C1; D1-C2; D2-C2; D3-C2; D4-C2; D5-C2; D6-C2; D7-C2; D8-C2; D9-C2; D1-C3; D2-C3; D3-C3; D4-C3; D5-C3; D6-C3; D7-C3; D8-C3; D9-C3; D1-C4; D2-C4; D3-C4; D4-C4; D5-C4; D6-C4; D7-C4; D8-C4; D9-C4; D1-C5; D2-C5; D3-C5; D4-C5; D5-C5; D6-C5; D7-C5; D8-C5; D9-C5; D1-C6; D2-C6; D3-C6; D4-C6; D5-C6; D6-C6; D7-C6; D8-C6; D9-C6; D1-C7; D2-C7; D3-C7; D4-C7; D5-C7; D6-C7; D7-C7; D8-C7; D9-C7; D1-C8; D2-C8; D3-C8; D4-C8; D5-C8; D6-C8; D7-C8; D8-C8; D9-C8; D1-C9; D2-C9; D3-C9; D4-C9; D5-C9; D6-C9; D7-C9; D8-C9; D9-C9; C1-D1; C1-D2; C1-D3; C1-D4; C1-D5; C1-D6; C1-D7; C1-D8; C1-D9; C2-D1; C2-D2; C2-D3; C2-D4; C2-D5; C2-D6; C2-D7; C2-D8; C2-D9; C3-D1; C3-D2; C3-D3; C3-D4; C3-D5; C3-D6; C3-D7; C3-D8; C3-D9; C4-D1; C4-D2; C4-D3; C4-D4; C4-D5; C4-D6; C4-D7; C4-D8; C4-D9; C5-D1; C5-D2; C5-D3; C5-D4; C5-D5; C5-D6; C5-D7; C5-D8; C5-D9; C6-D1; C6-D2; C6-D3; C6-D4; C6-D5; C6-D6; C6-D7; C6-D8; C6-D9; C7-D1; C7-D2; C7-D3; C7-D4; C7-D5; C7-D6; C7-D7; C7-D8; C7-D9; C8-D1; C8-D2; C8-D3; C8-D4; C8-D5; C8-D6; C8-D7; C8-D8; C8-D9; C9-D1; C9-D2; C9-D3; C9-D4; C9-D5; C9-D6; C9-D7; C9-D8; C9-D9.
If “m=3”, i.e. if the compressor train comprises three main machines, 6804 different machine arrangements can be generated by the method of generation described above. These 6804 arrangements are generated using generating section 2003 of FIGS. 42A, 42B, 42C, 42D, 42E and are listed here below:
D1-C1-M1; D2-C1-M1; D3-C1-M1; D4-C1-M1; D5-C1-M1; D6-C1-M1; D7-C1-M1; D8-C1-M1; D9-C1-M1; D1-C2-M1; D2-C2-M1; D3-C2-M1; D4-C2-M1; D5-C2-M1; D6-C2-M1; D7-C2-M1; D8-C2-M1; D9-C2-M1; D1-C3-M1; D2-C3-M1; D3-C3-M1; D4-C3-M1; D5-C3-M1; D6-C3-M1; D7-C3-M1; D8-C3-M1; D9-C3-M1; D1-C4-M1; D2-C4-M1; D3-C4-M1; D4-C4-M1; D5-C4-M1; D6-C4-M1; D7-C4-M1; D8-C4-M1; D9-C4-M1; D1-C5-M1; D2-C5-M1; D3-C5-M1; D4-C5-M1; D5-C5-M1; D6-C5-M1; D7-C5-M1; D8-C5-M1; D9-C5-M1; D1-C6-M1; D2-C6-M1; D3-C6-M1; D4-C6-M1; D5-C6-M1; D6-C6-M1; D7-C6-M1; D8-C6-M1; D9-C6-M1; D1-C7-M1; D2-C7-M1; D3-C7-M1; D4-C7-M1; D5-C7-M1; D6-C7-M1; D7-C7-M1; D8-C7-M1; D9-C7-M1; D1-C8-M1; D2-C8-M1; D3-C8-M1; D4-C8-M1; D5-C8-M1; D6-C8-M1; D7-C8-M1; D8-C8-M1; D9-C8-M1; D1-C9-M1; D2-C9-M1; D3-C9-M1; D4-C9-M1; D5-C9-M1; D6-C9-M1; D7-C9-M1; D8-C9-M1; D9-C9-M1; D1-C1-M2; D2-C1-M2; D3-C1-M2; D4-C1-M2; D5-C1-M2; D6-C1-M2; D7-C1-M2; D8-C1-M2; D9-C1-M2; D1-C2-M2; D2-C2-M2; D3-C2-M2; D4-C2-M2; D5-C2-M2; D6-C2-M2; D7-C2-M2; D8-C2-M2; D9-C2-M2; D1-C3-M2; D2-C3-M2; D3-C3-M2; D4-C3-M2; D5-C3-M2; D6-C3-M2; D7-C3-M2; D8-C3-M2; D9-C3-M2; D1-C4-M2; D2-C4-M2; D3-C4-M2; D4-C4-M2; D5-C4-M2; D6-C4-M2; D7-C4-M2; D8-C4-M2; D9-C4-M2; D1-C5-M2; D2-C5-M2; D3-C5-M2; D4-C5-M2; D5-C5-M2; D6-C5-M2; D7-C5-M2; D8-C5-M2; D9-C5-M2; D1-C6-M2; D2-C6-M2; D3-C6-M2; D4-C6-M2; D5-C6-M2; D6-C6-M2; D7-C6-M2; D8-C6-M2; D9-C6-M2; D1-C7-M2; D2-C7-M2; D3-C7-M2; D4-C7-M2; D5-C7-M2; D6-C7-M2; D7-C7-M2; D8-C7-M2; D9-C7-M2; D1-C8-M2; D2-C8-M2; D3-C8-M2; D4-C8-M2; D5-C8-M2; D6-C8-M2; D7-C8-M2; D8-C8-M2; D9-C8-M2; D1-C9-M2; D2-C9-M2; D3-C9-M2; D4-C9-M2; D5-C9-M2; D6-C9-M2; D7-C9-M2; D8-C9-M2; D9-C9-M2; D1-C1-M3; D2-C1-M3; D3-C1-M3; D4-C1-M3; D5-C1-M3; D6-C1-M3; D7-C1-M3; D8-C1-M3; D9-C1-M3; D1-C2-M3; D2-C2-M3; D3-C2-M3; D4-C2-M3; D5-C2-M3; D6-C2-M3; D7-C2-M3; D8-C2-M3; D9-C2-M3; D1-C3-M3; D2-C3-M3; D3-C3-M3; D4-C3-M3; D5-C3-M3; D6-C3-M3; D7-C3-M3; D8-C3-M3; D9-C3-M3; D1-C4-M3; D2-C4-M3; D3-C4-M3; D4-C4-M3; D5-C4-M3; D6-C4-M3; D7-C4-M3; D8-C4-M3; D9-C4-M3; D1-C5-M3; D2-C5-M3; D3-C5-M3; D4-C5-M3; D5-C5-M3; D6-C5-M3; D7-C5-M3; D8-C5-M3; D9-C5-M3; D1-C6-M3; D2-C6-M3; D3-C6-M3; D4-C6-M3; D5-C6-M3; D6-C6-M3; D7-C6-M3; D8-C6-M3; D9-C6-M3; D1-C7-M3; D2-C7-M3; D3-C7-M3; D4-C7-M3; D5-C7-M3; D6-C7-M3; D7-C7-M3; D8-C7-M3; D9-C7-M3; D1-C8-M3; D2-C8-M3; D3-C8-M3; D4-C8-M3; D5-C8-M3; D6-C8-M3; D7-C8-M3; D8-C8-M3; D9-C8-M3; D1-C9-M3; D2-C9-M3; D3-C9-M3; D4-C9-M3; D5-C9-M3; D6-C9-M3; D7-C9-M3; D8-C9-M3; D9-C9-M3; D1-C1-M4; D2-C1-M4; D3-C1-M4; D4-C1-M4; D5-C1-M4; D6-C1-M4; D7-C1-M4; D8-C1-M4; D9-C1-M4; D1-C2-M4; D2-C2-M4; D3-C2-M4; D4-C2-M4; D5-C2-M4; D6-C2-M4; D7-C2-M4; D8-C2-M4; D9-C2-M4; D1-C3-M4; D2-C3-M4; D3-C3-M4; D4-C3-M4; D5-C3-M4; D6-C3-M4; D7-C3-M4; D8-C3-M4; D9-C3-M4; D1-C4-M4; D2-C4-M4; D3-C4-M4; D4-C4-M4; D5-C4-M4; D6-C4-M4; D7-C4-M4; D8-C4-M4; D9-C4-M4; D1-C5-M4; D2-C5-M4; D3-C5-M4; D4-C5-M4; D5-C5-M4; D6-C5-M4; D7-C5-M4; D8-C5-M4; D9-C5-M4; D1-C6-M4; D2-C6-M4; D3-C6-M4; D4-C6-M4; D5-C6-M4; D6-C6-M4; D7-C6-M4; D8-C6-M4; D9-C6-M4; D1-C7-M4; D2-C7-M4; D3-C7-M4; D4-C7-M4; D5-C7-M4; D6-C7-M4; D7-C7-M4; D8-C7-M4; D9-C7-M4; D1-C8-M4; D2-C8-M4; D3-C8-M4; D4-C8-M4; D5-C8-M4; D6-C8-M4; D7-C8-M4; D8-C8-M4; D9-C8-M4; D1-C9-M4; D2-C9-M4; D3-C9-M4; D4-C9-M4; D5-C9-M4; D6-C9-M4; D7-C9-M4; D8-C9-M4; D9-C9-M4; D1-C1-M5; D2-C1-M5; D3-C1-M5; D4-C1-M5; D5-C1-M5; D6-C1-M5; D7-C1-M5; D8-C1-M5; D9-C1-M5; D1-C2-M5; D2-C2-M5; D3-C2-M5; D4-C2-M5; D5-C2-M5; D6-C2-M5; D7-C2-M5; D8-C2-M5; D9-C2-M5; D1-C3-M5; D2-C3-M5; D3-C3-M5; D4-C3-M5; D5-C3-M5; D6-C3-M5; D7-C3-M5; D8-C3-M5; D9-C3-M5; D1-C4-M5; D2-C4-M5; D3-C4-M5; D4-C4-M5; D5-C4-M5; D6-C4-M5; D7-C4-M5; D8-C4-M5; D9-C4-M5; D1-C5-M5; D2-C5-M5; D3-C5-M5; D4-C5-M5; D5-C5-M5; D6-C5-M5; D7-C5-M5; D8-C5-M5; D9-C5-M5; D1-C6-M5; D2-C6-M5; D3-C6-M5; D4-C6-M5; D5-C6-M5; D6-C6-M5; D7-C6-M5; D8-C6-M5; D9-C6-M5; D1-C7-M5; D2-C7-M5; D3-C7-M5; D4-C7-M5; D5-C7-M5; D6-C7-M5; D7-C7-M5; D8-C7-M5; D9-C7-M5; D1-C8-M5; D2-C8-M5; D3-C8-M5; D4-C8-M5; D5-C8-M5; D6-C8-M5; D7-C8-M5; D8-C8-M5; D9-C8-M5; D1-C9-M5; D2-C9-M5; D3-C9-M5; D4-C9-M5; D5-C9-M5; D6-C9-M5; D7-C9-M5; D8-C9-M5; D9-C9-M5; D1-C1-C1; D2-C1-C1; D3-C1-C1; D4-C1-C1; D5-C1-C1; D6-C1-C1; D7-C1-C1; D8-C1-C1; D9-C1-C1; D1-C2-C1; D2-C2-C1; D3-C2-C1; D4-C2-C1; D5-C2-C1; D6-C2-C1; D7-C2-C1; D8-C2-C1; D9-C2-C1; D1-C3-C1; D2-C3-C1; D3-C3-C1; D4-C3-C1; D5-C3-C1; D6-C3-C1; D7-C3-C1; D8-C3-C1; D9-C3-C1; D1-C4-C1; D2-C4-C1; D3-C4-C1; D4-C4-C1; D5-C4-C1; D6-C4-C1; D7-C4-C1; D8-C4-C1; D9-C4-C1; D1-C5-C1; D2-C5-C1; D3-C5-C1; D4-C5-C1; D5-C5-C1; D6-C5-C1; D7-C5-C1; D8-C5-C1; D9-C5-C1; D1-C6-C1; D2-C6-C1; D3-C6-C1; D4-C6-C1; D5-C6-C1; D6-C6-C1; D7-C6-C1; D8-C6-C1; D9-C6-C1; D1-C7-C1; D2-C7-C1; D3-C7-C1; D4-C7-C1; D5-C7-C1; D6-C7-C1; D7-C7-C1; D8-C7-C1; D9-C7-C1; D1-C8-C1; D2-C8-C1; D3-C8-C1; D4-C8-C1; D5-C8-C1; D6-C8-C1; D7-C8-C1; D8-C8-C1; D9-C8-C1; D1-C9-C1; D2-C9-C1; D3-C9-C1; D4-C9-C1; D5-C9-C1; D6-C9-C1; D7-C9-C1; D8-C9-C1; D9-C9-C1; D1-C1-C2; D2-C1-C2; D3-C1-C2; D4-C1-C2; D5-C1-C2; D6-C1-C2; D7-C1-C2; D8-C1-C2; D9-C1-C2; D1-C2-C2; D2-C2-C2; D3-C2-C2; D4-C2-C2; D5-C2-C2; D6-C2-C2; D7-C2-C2; D8-C2-C2; D9-C2-C2; D1-C3-C2; D2-C3-C2; D3-C3-C2; D4-C3-C2; D5-C3-C2; D6-C3-C2; D7-C3-C2; D8-C3-C2; D9-C3-C2; D1-C4-C2; D2-C4-C2; D3-C4-C2; D4-C4-C2; D5-C4-C2; D6-C4-C2; D7-C4-C2; D8-C4-C2; D9-C4-C2; D1-C5-C2; D2-C5-C2; D3-C5-C2; D4-C5-C2; D5-C5-C2; D6-C5-C2; D7-C5-C2; D8-C5-C2; D9-C5-C2; D1-C6-C2; D2-C6-C2; D3-C6-C2; D4-C6-C2; D5-C6-C2; D6-C6-C2; D7-C6-C2; D8-C6-C2; D9-C6-C2; D1-C7-C2; D2-C7-C2; D3-C7-C2; D4-C7-C2; D5-C7-C2; D6-C7-C2; D7-C7-C2; D8-C7-C2; D9-C7-C2; D1-C8-C2; D2-C8-C2; D3-C8-C2; D4-C8-C2; D5-C8-C2; D6-C8-C2; D7-C8-C2; D8-C8-C2; D9-C8-C2; D1-C9-C2; D2-C9-C2; D3-C9-C2; D4-C9-C2; D5-C9-C2; D6-C9-C2; D7-C9-C2; D8-C9-C2; D9-C9-C2; D1-C1-C3; D2-C1-C3; D3-C1-C3; D4-C1-C3; D5-C1-C3; D6-C1-C3; D7-C1-C3; D8-C1-C3; D9-C1-C3; D1-C2-C3; D2-C2-C3; D3-C2-C3; D4-C2-C3; D5-C2-C3; D6-C2-C3; D7-C2-C3; D8-C2-C3; D9-C2-C3; D1-C3-C3; D2-C3-C3; D3-C3-C3; D4-C3-C3; D5-C3-C3; D6-C3-C3; D7-C3-C3; D8-C3-C3; D9-C3-C3; D1-C4-C3; D2-C4-C3; D3-C4-C3; D4-C4-C3; D5-C4-C3; D6-C4-C3; D7-C4-C3; D8-C4-C3; D9-C4-C3; D1-C5-C3; D2-C5-C3; D3-C5-C3; D4-C5-C3; D5-C5-C3; D6-C5-C3; D7-C5-C3; D8-C5-C3; D9-C5-C3; D1-C6-C3; D2-C6-C3; D3-C6-C3; D4-C6-C3; D5-C6-C3; D6-C6-C3; D7-C6-C3; D8-C6-C3; D9-C6-C3; D1-C7-C3; D2-C7-C3; D3-C7-C3; D4-C7-C3; D5-C7-C3; D6-C7-C3; D7-C7-C3; D8-C7-C3; D9-C7-C3; D1-C8-C3; D2-C8-C3; D3-C8-C3; D4-C8-C3; D5-C8-C3; D6-C8-C3; D7-C8-C3; D8-C8-C3; D9-C8-C3; D1-C9-C3; D2-C9-C3; D3-C9-C3; D4-C9-C3; D5-C9-C3; D6-C9-C3; D7-C9-C3; D8-C9-C3; D9-C9-C3; D1-C1-C4; D2-C1-C4; D3-C1-C4; D4-C1-C4; D5-C1-C4; D6-C1-C4; D7-C1-C4; D8-C1-C4; D9-C1-C4; D1-C2-C4; D2-C2-C4; D3-C2-C4; D4-C2-C4; D5-C2-C4; D6-C2-C4; D7-C2-C4; D8-C2-C4; D9-C2-C4; D1-C3-C4; D2-C3-C4; D3-C3-C4; D4-C3-C4; D5-C3-C4; D6-C3-C4; D7-C3-C4; D8-C3-C4; D9-C3-C4; D1-C4-C4; D2-C4-C4; D3-C4-C4; D4-C4-C4; D5-C4-C4; D6-C4-C4; D7-C4-C4; D8-C4-C4; D9-C4-C4; D1-C5-C4; D2-C5-C4; D3-C5-C4; D4-C5-C4; D5-C5-C4; D6-C5-C4; D7-C5-C4; D8-C5-C4; D9-C5-C4; D1-C6-C4; D2-C6-C4; D3-C6-C4; D4-C6-C4; D5-C6-C4; D6-C6-C4; D7-C6-C4; D8-C6-C4; D9-C6-C4; D1-C7-C4; D2-C7-C4; D3-C7-C4; D4-C7-C4; D5-C7-C4; D6-C7-C4; D7-C7-C4; D8-C7-C4; D9-C7-C4; D1-C8-C4; D2-C8-C4; D3-C8-C4; D4-C8-C4; D5-C8-C4; D6-C8-C4; D7-C8-C4; D8-C8-C4; D9-C8-C4; D1-C9-C4; D2-C9-C4; D3-C9-C4; D4-C9-C4; D5-C9-C4; D6-C9-C4; D7-C9-C4; D8-C9-C4; D9-C9-C4; D1-C1-C5; D2-C1-C5; D3-C1-C5; D4-C1-C5; D5-C1-C5; D6-C1-C5; D7-C1-C5; D8-C1-C5; D9-C1-C5; D1-C2-C5; D2-C2-C5; D3-C2-C5; D4-C2-C5; D5-C2-C5; D6-C2-C5; D7-C2-C5; D8-C2-C5; D9-C2-C5; D1-C3-C5; D2-C3-C5; D3-C3-C5; D4-C3-C5; D5-C3-C5; D6-C3-C5; D7-C3-C5; D8-C3-C5; D9-C3-C5; D1-C4-C5; D2-C4-C5; D3-C4-C5; D4-C4-C5; D5-C4-C5; D6-C4-C5; D7-C4-C5; D8-C4-C5; D9-C4-C5; D1-C5-C5; D2-C5-C5; D3-C5-C5; D4-C5-C5; D5-C5-C5; D6-C5-C5; D7-C5-C5; D8-C5-C5; D9-C5-C5; D1-C6-C5; D2-C6-C5; D3-C6-C5; D4-C6-C5; D5-C6-C5; D6-C6-C5; D7-C6-C5; D8-C6-C5; D9-C6-C5; D1-C7-C5; D2-C7-C5; D3-C7-C5; D4-C7-C5; D5-C7-C5; D6-C7-C5; D7-C7-C5; D8-C7-C5; D9-C7-C5; D1-C8-C5; D2-C8-C5; D3-C8-C5; D4-C8-C5; D5-C8-C5; D6-C8-C5; D7-C8-C5; D8-C8-C5; D9-C8-C5; D1-C9-C5; D2-C9-C5; D3-C9-C5; D4-C9-C5; D5-C9-C5; D6-C9-C5; D7-C9-C5; D8-C9-C5; D9-C9-C5; D1-C1-C6; D2-C1-C6; D3-C1-C6; D4-C1-C6; D5-C1-C6; D6-C1-C6; D7-C1-C6; D8-C1-C6; D9-C1-C6; D1-C2-C6; D2-C2-C6; D3-C2-C6; D4-C2-C6; D5-C2-C6; D6-C2-C6; D7-C2-C6; D8-C2-C6; D9-C2-C6; D1-C3-C6; D2-C3-C6; D3-C3-C6; D4-C3-C6; D5-C3-C6; D6-C3-C6; D7-C3-C6; D8-C3-C6; D9-C3-C6; D1-C4-C6; D2-C4-C6; D3-C4-C6; D4-C4-C6; D5-C4-C6; D6-C4-C6; D7-C4-C6; D8-C4-C6; D9-C4-C6; D1-C5-C6; D2-C5-C6; D3-C5-C6; D4-C5-C6; D5-C5-C6; D6-C5-C6; D7-C5-C6; D8-C5-C6; D9-C5-C6; D1-C6-C6; D2-C6-C6; D3-C6-C6; D4-C6-C6; D5-C6-C6; D6-C6-C6; D7-C6-C6; D8-C6-C6; D9-C6-C6; D1-C7-C6; D2-C7-C6; D3-C7-C6; D4-C7-C6; D5-C7-C6; D6-C7-C6; D7-C7-C6; D8-C7-C6; D9-C7-C6; D1-C8-C6; D2-C8-C6; D3-C8-C6; D4-C8-C6; D5-C8-C6; D6-C8-C6; D7-C8-C6; D8-C8-C6; D9-C8-C6; D1-C9-C6; D2-C9-C6; D3-C9-C6; D4-C9-C6; D5-C9-C6; D6-C9-C6; D7-C9-C6; D8-C9-C6; D9-C9-C6; D1-C1-C7; D2-C1-C7; D3-C1-C7; D4-C1-C7; D5-C1-C7; D6-C1-C7; D7-C1-C7; D8-C1-C7; D9-C1-C7; D1-C2-C7; D2-C2-C7; D3-C2-C7; D4-C2-C7; D5-C2-C7; D6-C2-C7; D7-C2-C7; D8-C2-C7; D9-C2-C7; D1-C3-C7; D2-C3-C7; D3-C3-C7; D4-C3-C7; D5-C3-C7; D6-C3-C7; D7-C3-C7; D8-C3-C7; D9-C3-C7; D1-C4-C7; D2-C4-C7; D3-C4-C7; D4-C4-C7; D5-C4-C7; D6-C4-C7; D7-C4-C7; D8-C4-C7; D9-C4-C7; D1-C5-C7; D2-C5-C7; D3-C5-C7; D4-C5-C7; D5-C5-C7; D6-C5-C7; D7-C5-C7; D8-C5-C7; D9-C5-C7; D1-C6-C7; D2-C6-C7; D3-C6-C7; D4-C6-C7; D5-C6-C7; D6-C6-C7; D7-C6-C7; D8-C6-C7; D9-C6-C7; D1-C7-C7; D2-C7-C7; D3-C7-C7; D4-C7-C7; D5-C7-C7; D6-C7-C7; D7-C7-C7; D8-C7-C7; D9-C7-C7; D1-C8-C7; D2-C8-C7; D3-C8-C7; D4-C8-C7; D5-C8-C7; D6-C8-C7; D7-C8-C7; D8-C8-C7; D9-C8-C7; D1-C9-C7; D2-C9-C7; D3-C9-C7; D4-C9-C7; D5-C9-C7; D6-C9-C7; D7-C9-C7; D8-C9-C7; D9-C9-C7; D1-C1-C8; D2-C1-C8; D3-C1-C8; D4-C1-C8; D5-C1-C8; D6-C1-C8; D7-C1-C8; D8-C1-C8; D9-C1-C8; D1-C2-C8; D2-C2-C8; D3-C2-C8; D4-C2-C8; D5-C2-C8; D6-C2-C8; D7-C2-C8; D8-C2-C8; D9-C2-C8; D1-C3-C8; D2-C3-C8; D3-C3-C8; D4-C3-C8; D5-C3-C8; D6-C3-C8; D7-C3-C8; D8-C3-C8; D9-C3-C8; D1-C4-C8; D2-C4-C8; D3-C4-C8; D4-C4-C8; D5-C4-C8; D6-C4-C8; D7-C4-C8; D8-C4-C8; D9-C4-C8; D1-C5-C8; D2-C5-C8; D3-C5-C8; D4-C5-C8; D5-C5-C8; D6-C5-C8; D7-C5-C8; D8-C5-C8; D9-C5-C8; D1-C6-C8; D2-C6-C8; D3-C6-C8; D4-C6-C8; D5-C6-C8; D6-C6-C8; D7-C6-C8; D8-C6-C8; D9-C6-C8; D1-C7-C8; D2-C7-C8; D3-C7-C8; D4-C7-C8; D5-C7-C8; D6-C7-C8; D7-C7-C8; D8-C7-C8; D9-C7-C8; D1-C8-C8; D2-C8-C8; D3-C8-C8; D4-C8-C8; D5-C8-C8; D6-C8-C8; D7-C8-C8; D8-C8-C8; D9-C8-C8; D1-C9-C8; D2-C9-C8; D3-C9-C8; D4-C9-C8; D5-C9-C8; D6-C9-C8; D7-C9-C8; D8-C9-C8; D9-C9-C8; D1-C1-C9; D2-C1-C9; D3-C1-C9; D4-C1-C9; D5-C1-C9; D6-C1-C9; D7-C1-C9; D8-C1-C9; D9-C1-C9; D1-C2-C9; D2-C2-C9; D3-C2-C9; D4-C2-C9; D5-C2-C9; D6-C2-C9; D7-C2-C9; D8-C2-C9; D9-C2-C9; D1-C3-C9; D2-C3-C9; D3-C3-C9; D4-C3-C9; D5-C3-C9; D6-C3-C9; D7-C3-C9; D8-C3-C9; D9-C3-C9; D1-C4-C9; D2-C4-C9; D3-C4-C9; D4-C4-C9; D5-C4-C9; D6-C4-C9; D7-C4-C9; D8-C4-C9; D9-C4-C9; D1-C5-C9; D2-C5-C9; D3-C5-C9; D4-C5-C9; D5-C5-C9; D6-C5-C9; D7-C5-C9; D8-C5-C9; D9-C5-C9; D1-C6-C9; D2-C6-C9; D3-C6-C9; D4-C6-C9; D5-C6-C9; D6-C6-C9; D7-C6-C9; D8-C6-C9; D9-C6-C9; D1-C7-C9; D2-C7-C9; D3-C7-C9; D4-C7-C9; D5-C7-C9; D6-C7-C9; D7-C7-C9; D8-C7-C9; D9-C7-C9; D1-C8-C9; D2-C8-C9; D3-C8-C9; D4-C8-C9; D5-C8-C9; D6-C8-C9; D7-C8-C9; D8-C8-C9; D9-C8-C9; D1-C9-C9; D2-C9-C9; D3-C9-C9; D4-C9-C9; D5-C9-C9; D6-C9-C9; D7-C9-C9; D8-C9-C9; D9-C9-C9; D1-M1-C1; D2-M1-C1; D3-M1-C1; D4-M1-C1; D5-M1-C1; D6-M1-C1; D7-M1-C1; D8-M1-C1; D9-M1-C1; D1-M1-C2; D2-M1-C2; D3-M1-C2; D4-M1-C2; D5-M1-C2; D6-M1-C2; D7-M1-C2; D8-M1-C2; D9-M1-C2; D1-M1-C3; D2-M1-C3; D3-M1-C3; D4-M1-C3; D5-M1-C3; D6-M1-C3; D7-M1-C3; D8-M1-C3; D9-M1-C3; D1-M1-C4; D2-M1-C4; D3-M1-C4; D4-M1-C4; D5-M1-C4; D6-M1-C4; D7-M1-C4; D8-M1-C4; D9-M1-C4; D1-M1-C5; D2-M1-C5; D3-M1-C5; D4-M1-C5; D5-M1-C5; D6-M1-C5; D7-M1-C5; D8-M1-C5; D9-M1-C5; D1-M1-C6; D2-M1-C6; D3-M1-C6; D4-M1-C6; D5-M1-C6; D6-M1-C6; D7-M1-C6; D8-M1-C6; D9-M1-C6; D1-M1-C7; D2-M1-C7; D3-M1-C7; D4-M1-C7; D5-M1-C7; D6-M1-C7; D7-M1-C7; D8-M1-C7; D9-M1-C7; D1-M1-C8; D2-M1-C8; D3-M1-C8; D4-M1-C8; D5-M1-C8; D6-M1-C8; D7-M1-C8; D8-M1-C8; D9-M1-C8; D1-M1-C9; D2-M1-C9; D3-M1-C9; D4-M1-C9; D5-M1-C9; D6-M1-C9; D7-M1-C9; D8-M1-C9; D9-M1-C9; D1-M2-C1; D2-M2-C1; D3-M2-C1; D4-M2-C1; D5-M2-C1; D6-M2-C1; D7-M2-C1; D8-M2-C1; D9-M2-C1; D1-M2-C2; D2-M2-C2; D3-M2-C2; D4-M2-C2; D5-M2-C2; D6-M2-C2; D7-M2-C2; D8-M2-C2; D9-M2-C2; D1-M2-C3; D2-M2-C3; D3-M2-C3; D4-M2-C3; D5-M2-C3; D6-M2-C3; D7-M2-C3; D8-M2-C3; D9-M2-C3; D1-M2-C4; D2-M2-C4; D3-M2-C4; D4-M2-C4; D5-M2-C4; D6-M2-C4; D7-M2-C4; D8-M2-C4; D9-M2-C4; D1-M2-C5; D2-M2-C5; D3-M2-C5; D4-M2-C5; D5-M2-C5; D6-M2-C5; D7-M2-C5; D8-M2-C5; D9-M2-C5; D1-M2-C6; D2-M2-C6; D3-M2-C6; D4-M2-C6; D5-M2-C6; D6-M2-C6; D7-M2-C6; D8-M2-C6; D9-M2-C6; D1-M2-C7; D2-M2-C7; D3-M2-C7; D4-M2-C7; D5-M2-C7; D6-M2-C7; D7-M2-C7; D8-M2-C7; D9-M2-C7; D1-M2-C8; D2-M2-C8; D3-M2-C8; D4-M2-C8; D5-M2-C8; D6-M2-C8; D7-M2-C8; D8-M2-C8; D9-M2-C8; D1-M2-C9; D2-M2-C9; D3-M2-C9; D4-M2-C9; D5-M2-C9; D6-M2-C9; D7-M2-C9; D8-M2-C9; D9-M2-C9; D1-M3-C1; D2-M3-C1; D3-M3-C1; D4-M3-C1; D5-M3-C1; D6-M3-C1; D7-M3-C1; D8-M3-C1; D9-M3-C1; D1-M3-C2; D2-M3-C2; D3-M3-C2; D4-M3-C2; D5-M3-C2; D6-M3-C2; D7-M3-C2; D8-M3-C2; D9-M3-C2; D1-M3-C3; D2-M3-C3; D3-M3-C3; D4-M3-C3; D5-M3-C3; D6-M3-C3; D7-M3-C3; D8-M3-C3; D9-M3-C3; D1-M3-C4; D2-M3-C4; D3-M3-C4; D4-M3-C4; D5-M3-C4; D6-M3-C4; D7-M3-C4; D8-M3-C4; D9-M3-C4; D1-M3-C5; D2-M3-C5; D3-M3-C5; D4-M3-C5; D5-M3-C5; D6-M3-C5; D7-M3-C5; D8-M3-C5; D9-M3-C5; D1-M3-C6; D2-M3-C6; D3-M3-C6; D4-M3-C6; D5-M3-C6; D6-M3-C6; D7-M3-C6; D8-M3-C6; D9-M3-C6; D1-M3-C7; D2-M3-C7; D3-M3-C7; D4-M3-C7; D5-M3-C7; D6-M3-C7; D7-M3-C7; D8-M3-C7; D9-M3-C7; D1-M3-C8; D2-M3-C8; D3-M3-C8; D4-M3-C8; D5-M3-C8; D6-M3-C8; D7-M3-C8; D8-M3-C8; D9-M3-C8; D1-M3-C9; D2-M3-C9; D3-M3-C9; D4-M3-C9; D5-M3-C9; D6-M3-C9; D7-M3-C9; D8-M3-C9; D9-M3-C9; D1-M4-C1; D2-M4-C1; D3-M4-C1; D4-M4-C1; D5-M4-C1; D6-M4-C1; D7-M4-C1; D8-M4-C1; D9-M4-C1; D1-M4-C2; D2-M4-C2; D3-M4-C2; D4-M4-C2; D5-M4-C2; D6-M4-C2; D7-M4-C2; D8-M4-C2; D9-M4-C2; D1-M4-C3; D2-M4-C3; D3-M4-C3; D4-M4-C3; D5-M4-C3; D6-M4-C3; D7-M4-C3; D8-M4-C3; D9-M4-C3; D1-M4-C4; D2-M4-C4; D3-M4-C4; D4-M4-C4; D5-M4-C4; D6-M4-C4; D7-M4-C4; D8-M4-C4; D9-M4-C4; D1-M4-C5; D2-M4-C5; D3-M4-C5; D4-M4-C5; D5-M4-C5; D6-M4-C5; D7-M4-C5; D8-M4-C5; D9-M4-C5; D1-M4-C6; D2-M4-C6; D3-M4-C6; D4-M4-C6; D5-M4-C6; D6-M4-C6; D7-M4-C6; D8-M4-C6; D9-M4-C6; D1-M4-C7; D2-M4-C7; D3-M4-C7; D4-M4-C7; D5-M4-C7; D6-M4-C7; D7-M4-C7; D8-M4-C7; D9-M4-C7; D1-M4-C8; D2-M4-C8; D3-M4-C8; D4-M4-C8; D5-M4-C8; D6-M4-C8; D7-M4-C8; D8-M4-C8; D9-M4-C8; D1-M4-C9; D2-M4-C9; D3-M4-C9; D4-M4-C9; D5-M4-C9; D6-M4-C9; D7-M4-C9; D8-M4-C9; D9-M4-C9; D1-M5-C1; D2-M5-C1; D3-M5-C1; D4-M5-C1; D5-M5-C1; D6-M5-C1; D7-M5-C1; D8-M5-C1; D9-M5-C1; D1-M5-C2; D2-M5-C2; D3-M5-C2; D4-M5-C2; D5-M5-C2; D6-M5-C2; D7-M5-C2; D8-M5-C2; D9-M5-C2; D1-M5-C3; D2-M5-C3; D3-M5-C3; D4-M5-C3; D5-M5-C3; D6-M5-C3; D7-M5-C3; D8-M5-C3; D9-M5-C3; D1-M5-C4; D2-M5-C4; D3-M5-C4; D4-M5-C4; D5-M5-C4; D6-M5-C4; D7-M5-C4; D8-M5-C4; D9-M5-C4; D1-M5-C5; D2-M5-C5; D3-M5-C5; D4-M5-C5; D5-M5-C5; D6-M5-C5; D7-M5-C5; D8-M5-C5; D9-M5-C5; D1-M5-C6; D2-M5-C6; D3-M5-C6; D4-M5-C6; D5-M5-C6; D6-M5-C6; D7-M5-C6; D8-M5-C6; D9-M5-C6; D1-M5-C7; D2-M5-C7; D3-M5-C7; D4-M5-C7; D5-M5-C7; D6-M5-C7; D7-M5-C7; D8-M5-C7; D9-M5-C7; D1-M5-C8; D2-M5-C8; D3-M5-C8; D4-M5-C8; D5-M5-C8; D6-M5-C8; D7-M5-C8; D8-M5-C8; D9-M5-C8; D1-M5-C9; D2-M5-C9; D3-M5-C9; D4-M5-C9; D5-M5-C9; D6-M5-C9; D7-M5-C9; D8-M5-C9; D9-M5-C9; D1-C1-C1; D2-C1-C1; D3-C1-C1; D4-C1-C1; D5-C1-C1; D6-C1-C1; D7-C1-C1; D8-C1-C1; D9-C1-C1; D1-C1-C2; D2-C1-C2; D3-C1-C2; D4-C1-C2; D5-C1-C2; D6-C1-C2; D7-C1-C2; D8-C1-C2; D9-C1-C2; D1-C1-C3; D2-C1-C3; D3-C1-C3; D4-C1-C3; D5-C1-C3; D6-C1-C3; D7-C1-C3; D8-C1-C3; D9-C1-C3; D1-C1-C4; D2-C1-C4; D3-C1-C4; D4-C1-C4; D5-C1-C4; D6-C1-C4; D7-C1-C4; D8-C1-C4; D9-C1-C4; D1-C1-C5; D2-C1-C5; D3-C1-C5; D4-C1-C5; D5-C1-C5; D6-C1-C5; D7-C1-C5; D8-C1-C5; D9-C1-C5; D1-C1-C6; D2-C1-C6; D3-C1-C6; D4-C1-C6; D5-C1-C6; D6-C1-C6; D7-C1-C6; D8-C1-C6; D9-C1-C6; D1-C1-C7; D2-C1-C7; D3-C1-C7; D4-C1-C7; D5-C1-C7; D6-C1-C7; D7-C1-C7; D8-C1-C7; D9-C1-C7; D1-C1-C8; D2-C1-C8; D3-C1-C8; D4-C1-C8; D5-C1-C8; D6-C1-C8; D7-C1-C8; D8-C1-C8; D9-C1-C8; D1-C1-C9; D2-C1-C9; D3-C1-C9; D4-C1-C9; D5-C1-C9; D6-C1-C9; D7-C1-C9; D8-C1-C9; D9-C1-C9; D1-C2-C1; D2-C2-C1; D3-C2-C1; D4-C2-C1; D5-C2-C1; D6-C2-C1; D7-C2-C1; D8-C2-C1; D9-C2-C1; D1-C2-C2; D2-C2-C2; D3-C2-C2; D4-C2-C2; D5-C2-C2; D6-C2-C2; D7-C2-C2; D8-C2-C2; D9-C2-C2; D1-C2-C3; D2-C2-C3; D3-C2-C3; D4-C2-C3; D5-C2-C3; D6-C2-C3; D7-C2-C3; D8-C2-C3; D9-C2-C3; D1-C2-C4; D2-C2-C4; D3-C2-C4; D4-C2-C4; D5-C2-C4; D6-C2-C4; D7-C2-C4; D8-C2-C4; D9-C2-C4; D1-C2-C5; D2-C2-C5; D3-C2-C5; D4-C2-C5; D5-C2-C5; D6-C2-C5; D7-C2-C5; D8-C2-C5; D9-C2-C5; D1-C2-C6; D2-C2-C6; D3-C2-C6; D4-C2-C6; D5-C2-C6; D6-C2-C6; D7-C2-C6; D8-C2-C6; D9-C2-C6; D1-C2-C7; D2-C2-C7; D3-C2-C7; D4-C2-C7; D5-C2-C7; D6-C2-C7; D7-C2-C7; D8-C2-C7; D9-C2-C7; D1-C2-C8; D2-C2-C8; D3-C2-C8; D4-C2-C8; D5-C2-C8; D6-C2-C8; D7-C2-C8; D8-C2-C8; D9-C2-C8; D1-C2-C9; D2-C2-C9; D3-C2-C9; D4-C2-C9; D5-C2-C9; D6-C2-C9; D7-C2-C9; D8-C2-C9; D9-C2-C9; D1-C3-C1; D2-C3-C1; D3-C3-C1; D4-C3-C1; D5-C3-C1; D6-C3-C1; D7-C3-C1; D8-C3-C1; D9-C3-C1; D1-C3-C2; D2-C3-C2; D3-C3-C2; D4-C3-C2; D5-C3-C2; D6-C3-C2; D7-C3-C2; D8-C3-C2; D9-C3-C2; D1-C3-C3; D2-C3-C3; D3-C3-C3; D4-C3-C3; D5-C3-C3; D6-C3-C3; D7-C3-C3; D8-C3-C3; D9-C3-C3; D1-C3-C4; D2-C3-C4; D3-C3-C4; D4-C3-C4; D5-C3-C4; D6-C3-C4; D7-C3-C4; D8-C3-C4; D9-C3-C4; D1-C3-C5; D2-C3-C5; D3-C3-C5; D4-C3-C5; D5-C3-C5; D6-C3-C5; D7-C3-C5; D8-C3-C5; D9-C3-C5; D1-C3-C6; D2-C3-C6; D3-C3-C6; D4-C3-C6; D5-C3-C6; D6-C3-C6; D7-C3-C6; D8-C3-C6; D9-C3-C6; D1-C3-C7; D2-C3-C7; D3-C3-C7; D4-C3-C7; D5-C3-C7; D6-C3-C7; D7-C3-C7; D8-C3-C7; D9-C3-C7; D1-C3-C8; D2-C3-C8; D3-C3-C8; D4-C3-C8; D5-C3-C8; D6-C3-C8; D7-C3-C8; D8-C3-C8; D9-C3-C8; D1-C3-C9; D2-C3-C9; D3-C3-C9; D4-C3-C9; D5-C3-C9; D6-C3-C9; D7-C3-C9; D8-C3-C9; D9-C3-C9; D1-C4-C1; D2-C4-C1; D3-C4-C1; D4-C4-C1; D5-C4-C1; D6-C4-C1; D7-C4-C1; D8-C4-C1; D9-C4-C1; D1-C4-C2; D2-C4-C2; D3-C4-C2; D4-C4-C2; D5-C4-C2; D6-C4-C2; D7-C4-C2; D8-C4-C2; D9-C4-C2; D1-C4-C3; D2-C4-C3; D3-C4-C3; D4-C4-C3; D5-C4-C3; D6-C4-C3; D7-C4-C3; D8-C4-C3; D9-C4-C3; D1-C4-C4; D2-C4-C4; D3-C4-C4; D4-C4-C4; D5-C4-C4; D6-C4-C4; D7-C4-C4; D8-C4-C4; D9-C4-C4; D1-C4-C5; D2-C4-C5; D3-C4-C5; D4-C4-C5; D5-C4-C5; D6-C4-C5; D7-C4-C5; D8-C4-C5; D9-C4-C5; D1-C4-C6; D2-C4-C6; D3-C4-C6; D4-C4-C6; D5-C4-C6; D6-C4-C6; D7-C4-C6; D8-C4-C6; D9-C4-C6; D1-C4-C7; D2-C4-C7; D3-C4-C7; D4-C4-C7; D5-C4-C7; D6-C4-C7; D7-C4-C7; D8-C4-C7; D9-C4-C7; D1-C4-C8; D2-C4-C8; D3-C4-C8; D4-C4-C8; D5-C4-C8; D6-C4-C8; D7-C4-C8; D8-C4-C8; D9-C4-C8; D1-C4-C9; D2-C4-C9; D3-C4-C9; D4-C4-C9; D5-C4-C9; D6-C4-C9; D7-C4-C9; D8-C4-C9; D9-C4-C9; D1-C5-C1; D2-C5-C1; D3-C5-C1; D4-C5-C1; D5-C5-C1; D6-C5-C1; D7-C5-C1; D8-C5-C1; D9-C5-C1; D1-C5-C2; D2-C5-C2; D3-C5-C2; D4-C5-C2; D5-C5-C2; D6-C5-C2; D7-C5-C2; D8-C5-C2; D9-C5-C2; D1-C5-C3; D2-C5-C3; D3-C5-C3; D4-C5-C3; D5-C5-C3; D6-C5-C3; D7-C5-C3; D8-C5-C3; D9-C5-C3; D1-C5-C4; D2-C5-C4; D3-C5-C4; D4-C5-C4; D5-C5-C4; D6-C5-C4; D7-C5-C4; D8-C5-C4; D9-C5-C4; D1-C5-C5; D2-C5-C5; D3-C5-C5; D4-C5-C5; D5-C5-C5; D6-C5-C5; D7-C5-C5; D8-C5-C5; D9-C5-C5; D1-C5-C6; D2-C5-C6; D3-C5-C6; D4-C5-C6; D5-C5-C6; D6-C5-C6; D7-C5-C6; D8-C5-C6; D9-C5-C6; D1-C5-C7; D2-C5-C7; D3-C5-C7; D4-C5-C7; D5-C5-C7; D6-C5-C7; D7-C5-C7; D8-C5-C7; D9-C5-C7; D1-C5-C8; D2-C5-C8; D3-C5-C8; D4-C5-C8; D5-C5-C8; D6-C5-C8; D7-C5-C8; D8-C5-C8; D9-C5-C8; D1-C5-C9; D2-C5-C9; D3-C5-C9; D4-C5-C9; D5-C5-C9; D6-C5-C9; D7-C5-C9; D8-C5-C9; D9-C5-C9; D1-C6-C1; D2-C6-C1; D3-C6-C1; D4-C6-C1; D5-C6-C1; D6-C6-C1; D7-C6-C1; D8-C6-C1; D9-C6-C1; D1-C6-C2; D2-C6-C2; D3-C6-C2; D4-C6-C2; D5-C6-C2; D6-C6-C2; D7-C6-C2; D8-C6-C2; D9-C6-C2; D1-C6-C3; D2-C6-C3; D3-C6-C3; D4-C6-C3; D5-C6-C3; D6-C6-C3; D7-C6-C3; D8-C6-C3; D9-C6-C3; D1-C6-C4; D2-C6-C4; D3-C6-C4; D4-C6-C4; D5-C6-C4; D6-C6-C4; D7-C6-C4; D8-C6-C4; D9-C6-C4; D1-C6-C5; D2-C6-C5; D3-C6-C5; D4-C6-C5; D5-C6-C5; D6-C6-C5; D7-C6-C5; D8-C6-C5; D9-C6-C5; D1-C6-C6; D2-C6-C6; D3-C6-C6; D4-C6-C6; D5-C6-C6; D6-C6-C6; D7-C6-C6; D8-C6-C6; D9-C6-C6; D1-C6-C7; D2-C6-C7; D3-C6-C7; D4-C6-C7; D5-C6-C7; D6-C6-C7; D7-C6-C7; D8-C6-C7; D9-C6-C7; D1-C6-C8; D2-C6-C8; D3-C6-C8; D4-C6-C8; D5-C6-C8; D6-C6-C8; D7-C6-C8; D8-C6-C8; D9-C6-C8; D1-C6-C9; D2-C6-C9; D3-C6-C9; D4-C6-C9; D5-C6-C9; D6-C6-C9; D7-C6-C9; D8-C6-C9; D9-C6-C9; D1-C7-C1; D2-C7-C1; D3-C7-C1; D4-C7-C1; D5-C7-C1; D6-C7-C1; D7-C7-C1; D8-C7-C1; D9-C7-C1; D1-C7-C2; D2-C7-C2; D3-C7-C2; D4-C7-C2; D5-C7-C2; D6-C7-C2; D7-C7-C2; D8-C7-C2; D9-C7-C2; D1-C7-C3; D2-C7-C3; D3-C7-C3; D4-C7-C3; D5-C7-C3; D6-C7-C3; D7-C7-C3; D8-C7-C3; D9-C7-C3; D1-C7-C4; D2-C7-C4; D3-C7-C4; D4-C7-C4; D5-C7-C4; D6-C7-C4; D7-C7-C4; D8-C7-C4; D9-C7-C4; D1-C7-C5; D2-C7-C5; D3-C7-C5; D4-C7-C5; D5-C7-C5; D6-C7-C5; D7-C7-C5; D8-C7-C5; D9-C7-C5; D1-C7-C6; D2-C7-C6; D3-C7-C6; D4-C7-C6; D5-C7-C6; D6-C7-C6; D7-C7-C6; D8-C7-C6; D9-C7-C6; D1-C7-C7; D2-C7-C7; D3-C7-C7; D4-C7-C7; D5-C7-C7; D6-C7-C7; D7-C7-C7; D8-C7-C7; D9-C7-C7; D1-C7-C8; D2-C7-C8; D3-C7-C8; D4-C7-C8; D5-C7-C8; D6-C7-C8; D7-C7-C8; D8-C7-C8; D9-C7-C8; D1-C7-C9; D2-C7-C9; D3-C7-C9; D4-C7-C9; D5-C7-C9; D6-C7-C9; D7-C7-C9; D8-C7-C9; D9-C7-C9; D1-C8-C1; D2-C8-C1; D3-C8-C1; D4-C8-C1; D5-C8-C1; D6-C8-C1; D7-C8-C1; D8-C8-C1; D9-C8-C1; D1-C8-C2; D2-C8-C2; D3-C8-C2; D4-C8-C2; D5-C8-C2; D6-C8-C2; D7-C8-C2; D8-C8-C2; D9-C8-C2; D1-C8-C3; D2-C8-C3; D3-C8-C3; D4-C8-C3; D5-C8-C3; D6-C8-C3; D7-C8-C3; D8-C8-C3; D9-C8-C3; D1-C8-C4; D2-C8-C4; D3-C8-C4; D4-C8-C4; D5-C8-C4; D6-C8-C4; D7-C8-C4; D8-C8-C4; D9-C8-C4; D1-C8-C5; D2-C8-C5; D3-C8-C5; D4-C8-C5; D5-C8-C5; D6-C8-C5; D7-C8-C5; D8-C8-C5; D9-C8-C5; D1-C8-C6; D2-C8-C6; D3-C8-C6; D4-C8-C6; D5-C8-C6; D6-C8-C6; D7-C8-C6; D8-C8-C6; D9-C8-C6; D1-C8-C7; D2-C8-C7; D3-C8-C7; D4-C8-C7; D5-C8-C7; D6-C8-C7; D7-C8-C7; D8-C8-C7; D9-C8-C7; D1-C8-C8; D2-C8-C8; D3-C8-C8; D4-C8-C8; D5-C8-C8; D6-C8-C8; D7-C8-C8; D8-C8-C8; D9-C8-C8; D1-C8-C9; D2-C8-C9; D3-C8-C9; D4-C8-C9; D5-C8-C9; D6-C8-C9; D7-C8-C9; D8-C8-C9; D9-C8-C9; D1-C9-C1; D2-C9-C1; D3-C9-C1; D4-C9-C1; D5-C9-C1; D6-C9-C1; D7-C9-C1; D8-C9-C1; D9-C9-C1; D1-C9-C2; D2-C9-C2; D3-C9-C2; D4-C9-C2; D5-C9-C2; D6-C9-C2; D7-C9-C2; D8-C9-C2; D9-C9-C2; D1-C9-C3; D2-C9-C3; D3-C9-C3; D4-C9-C3; D5-C9-C3; D6-C9-C3; D7-C9-C3; D8-C9-C3; D9-C9-C3; D1-C9-C4; D2-C9-C4; D3-C9-C4; D4-C9-C4; D5-C9-C4; D6-C9-C4; D7-C9-C4; D8-C9-C4; D9-C9-C4; D1-C9-C5; D2-C9-C5; D3-C9-C5; D4-C9-C5; D5-C9-C5; D6-C9-C5; D7-C9-C5; D8-C9-C5; D9-C9-C5; D1-C9-C6; D2-C9-C6; D3-C9-C6; D4-C9-C6; D5-C9-C6; D6-C9-C6; D7-C9-C6; D8-C9-C6; D9-C9-C6; D1-C9-C7; D2-C9-C7; D3-C9-C7; D4-C9-C7; D5-C9-C7; D6-C9-C7; D7-C9-C7; D8-C9-C7; D9-C9-C7; D1-C9-C8; D2-C9-C8; D3-C9-C8; D4-C9-C8; D5-C9-C8; D6-C9-C8; D7-C9-C8; D8-C9-C8; D9-C9-C8; D1-C9-C9; D2-C9-C9; D3-C9-C9; D4-C9-C9; D5-C9-C9; D6-C9-C9; D7-C9-C9; D8-C9-C9; D9-C9-C9; C1-D1-M1; C1-D2-M1; C1-D3-M1; C1-D4-M1; C1-D5-M1; C1-D6-M1; C1-D7-M1; C1-D8-M1; C1-D9-M1; C2-D1-M1; C2-D2-M1; C2-D3-M1; C2-D4-M1; C2-D5-M1; C2-D6-M1; C2-D7-M1; C2-D8-M1; C2-D9-M1; C3-D1-M1; C3-D2-M1; C3-D3-M1; C3-D4-M1; C3-D5-M1; C3-D6-M1; C3-D7-M1; C3-D8-M1; C3-D9-M1; C4-D1-M1; C4-D2-M1; C4-D3-M1; C4-D4-M1; C4-D5-M1; C4-D6-M1; C4-D7-M1; C4-D8-M1; C4-D9-M1; C5-D1-M1; C5-D2-M1; C5-D3-M1; C5-D4-M1; C5-D5-M1; C5-D6-M1; C5-D7-M1; C5-D8-M1; C5-D9-M1; C6-D1-M1; C6-D2-M1; C6-D3-M1; C6-D4-M1; C6-D5-M1; C6-D6-M1; C6-D7-M1; C6-D8-M1; C6-D9-M1; C7-D1-M1; C7-D2-M1; C7-D3-M1; C7-D4-M1; C7-D5-M1; C7-D6-M1; C7-D7-M1; C7-D8-M1; C7-D9-M1; C8-D1-M1; C8-D2-M1; C8-D3-M1; C8-D4-M1; C8-D5-M1; C8-D6-M1; C8-D7-M1; C8-D8-M1; C8-D9-M1; C9-D1-M1; C9-D2-M1; C9-D3-M1; C9-D4-M1; C9-D5-M1; C9-D6-M1; C9-D7-M1; C9-D8-M1; C9-D9-M1; C1-D1-M2; C1-D2-M2; C1-D3-M2; C1-D4-M2; C1-D5-M2; C1-D6-M2; C1-D7-M2; C1-D8-M2; C1-D9-M2; C2-D1-M2; C2-D2-M2; C2-D3-M2; C2-D4-M2; C2-D5-M2; C2-D6-M2; C2-D7-M2; C2-D8-M2; C2-D9-M2; C3-D1-M2; C3-D2-M2; C3-D3-M2; C3-D4-M2; C3-D5-M2; C3-D6-M2; C3-D7-M2; C3-D8-M2; C3-D9-M2; C4-D1-M2; C4-D2-M2; C4-D3-M2; C4-D4-M2; C4-D5-M2; C4-D6-M2; C4-D7-M2; C4-D8-M2; C4-D9-M2; C5-D1-M2; C5-D2-M2; C5-D3-M2; C5-D4-M2; C5-D5-M2; C5-D6-M2; C5-D7-M2; C5-D8-M2; C5-D9-M2; C6-D1-M2; C6-D2-M2; C6-D3-M2; C6-D4-M2; C6-D5-M2; C6-D6-M2; C6-D7-M2; C6-D8-M2; C6-D9-M2; C7-D1-M2; C7-D2-M2; C7-D3-M2; C7-D4-M2; C7-D5-M2; C7-D6-M2; C7-D7-M2; C7-D8-M2; C7-D9-M2; C8-D1-M2; C8-D2-M2; C8-D3-M2; C8-D4-M2; C8-D5-M2; C8-D6-M2; C8-D7-M2; C8-D8-M2; C8-D9-M2; C9-D1-M2; C9-D2-M2; C9-D3-M2; C9-D4-M2; C9-D5-M2; C9-D6-M2; C9-D7-M2; C9-D8-M2; C9-D9-M2; C1-D1-M3; C1-D2-M3; C1-D3-M3; C1-D4-M3; C1-D5-M3; C1-D6-M3; C1-D7-M3; C1-D8-M3; C1-D9-M3; C2-D1-M3; C2-D2-M3; C2-D3-M3; C2-D4-M3; C2-D5-M3; C2-D6-M3; C2-D7-M3; C2-D8-M3; C2-D9-M3; C3-D1-M3; C3-D2-M3; C3-D3-M3; C3-D4-M3; C3-D5-M3; C3-D6-M3; C3-D7-M3; C3-D8-M3; C3-D9-M3; C4-D1-M3; C4-D2-M3; C4-D3-M3; C4-D4-M3; C4-D5-M3; C4-D6-M3; C4-D7-M3; C4-D8-M3; C4-D9-M3; C5-D1-M3; C5-D2-M3; C5-D3-M3; C5-D4-M3; C5-D5-M3; C5-D6-M3; C5-D7-M3; C5-D8-M3; C5-D9-M3; C6-D1-M3; C6-D2-M3; C6-D3-M3; C6-D4-M3; C6-D5-M3; C6-D6-M3; C6-D7-M3; C6-D8-M3; C6-D9-M3; C7-D1-M3; C7-D2-M3; C7-D3-M3; C7-D4-M3; C7-D5-M3; C7-D6-M3; C7-D7-M3; C7-D8-M3; C7-D9-M3; C8-D1-M3; C8-D2-M3; C8-D3-M3; C8-D4-M3; C8-D5-M3; C8-D6-M3; C8-D7-M3; C8-D8-M3; C8-D9-M3; C9-D1-M3; C9-D2-M3; C9-D3-M3; C9-D4-M3; C9-D5-M3; C9-D6-M3; C9-D7-M3; C9-D8-M3; C9-D9-M3; C1-D1-M4; C1-D2-M4; C1-D3-M4; C1-D4-M4; C1-D5-M4; C1-D6-M4; C1-D7-M4; C1-D8-M4; C1-D9-M4; C2-D1-M4; C2-D2-M4; C2-D3-M4; C2-D4-M4; C2-D5-M4; C2-D6-M4; C2-D7-M4; C2-D8-M4; C2-D9-M4; C3-D1-M4; C3-D2-M4; C3-D3-M4; C3-D4-M4; C3-D5-M4; C3-D6-M4; C3-D7-M4; C3-D8-M4; C3-D9-M4; C4-D1-M4; C4-D2-M4; C4-D3-M4; C4-D4-M4; C4-D5-M4; C4-D6-M4; C4-D7-M4; C4-D8-M4; C4-D9-M4; C5-D1-M4; C5-D2-M4; C5-D3-M4; C5-D4-M4; C5-D5-M4; C5-D6-M4; C5-D7-M4; C5-D8-M4; C5-D9-M4; C6-D1-M4; C6-D2-M4; C6-D3-M4; C6-D4-M4; C6-D5-M4; C6-D6-M4; C6-D7-M4; C6-D8-M4; C6-D9-M4; C7-D1-M4; C7-D2-M4; C7-D3-M4; C7-D4-M4; C7-D5-M4; C7-D6-M4; C7-D7-M4; C7-D8-M4; C7-D9-M4; C8-D1-M4; C8-D2-M4; C8-D3-M4; C8-D4-M4; C8-D5-M4; C8-D6-M4; C8-D7-M4; C8-D8-M4; C8-D9-M4; C9-D1-M4; C9-D2-M4; C9-D3-M4; C9-D4-M4; C9-D5-M4; C9-D6-M4; C9-D7-M4; C9-D8-M4; C9-D9-M4; C1-D1-M5; C1-D2-M5; C1-D3-M5; C1-D4-M5; C1-D5-M5; C1-D6-M5; C1-D7-M5; C1-D8-M5; C1-D9-M5; C2-D1-M5; C2-D2-M5; C2-D3-M5; C2-D4-M5; C2-D5-M5; C2-D6-M5; C2-D7-M5; C2-D8-M5; C2-D9-M5; C3-D1-M5; C3-D2-M5; C3-D3-M5; C3-D4-M5; C3-D5-M5; C3-D6-M5; C3-D7-M5; C3-D8-M5; C3-D9-M5; C4-D1-M5; C4-D2-M5; C4-D3-M5; C4-D4-M5; C4-D5-M5; C4-D6-M5; C4-D7-M5; C4-D8-M5; C4-D9-M5; C5-D1-M5; C5-D2-M5; C5-D3-M5; C5-D4-M5; C5-D5-M5; C5-D6-M5; C5-D7-M5; C5-D8-M5; C5-D9-M5; C6-D1-M5; C6-D2-M5; C6-D3-M5; C6-D4-M5; C6-D5-M5; C6-D6-M5; C6-D7-M5; C6-D8-M5; C6-D9-M5; C7-D1-M5; C7-D2-M5; C7-D3-M5; C7-D4-M5; C7-D5-M5; C7-D6-M5; C7-D7-M5; C7-D8-M5; C7-D9-M5; C8-D1-M5; C8-D2-M5; C8-D3-M5; C8-D4-M5; C8-D5-M5; C8-D6-M5; C8-D7-M5; C8-D8-M5; C8-D9-M5; C9-D1-M5; C9-D2-M5; C9-D3-M5; C9-D4-M5; C9-D5-M5; C9-D6-M5; C9-D7-M5; C9-D8-M5; C9-D9-M5; C1-D1-C1; C1-D2-C1; C1-D3-C1; C1-D4-C1; C1-D5-C1; C1-D6-C1; C1-D7-C1; C1-D8-C1; C1-D9-C1; C2-D1-C1; C2-D2-C1; C2-D3-C1; C2-D4-C1; C2-D5-C1; C2-D6-C1; C2-D7-C1; C2-D8-C1; C2-D9-C1; C3-D1-C1; C3-D2-C1; C3-D3-C1; C3-D4-C1; C3-D5-C1; C3-D6-C1; C3-D7-C1; C3-D8-C1; C3-D9-C1; C4-D1-C1; C4-D2-C1; C4-D3-C1; C4-D4-C1; C4-D5-C1; C4-D6-C1; C4-D7-C1; C4-D8-C1; C4-D9-C1; C5-D1-C1; C5-D2-C1; C5-D3-C1; C5-D4-C1; C5-D5-C1; C5-D6-C1; C5-D7-C1; C5-D8-C1; C5-D9-C1; C6-D1-C1; C6-D2-C1; C6-D3-C1; C6-D4-C1; C6-D5-C1; C6-D6-C1; C6-D7-C1; C6-D8-C1; C6-D9-C1; C7-D1-C1; C7-D2-C1; C7-D3-C1; C7-D4-C1; C7-D5-C1; C7-D6-C1; C7-D7-C1; C7-D8-C1; C7-D9-C1; C8-D1-C1; C8-D2-C1; C8-D3-C1; C8-D4-C1; C8-D5-C1; C8-D6-C1; C8-D7-C1; C8-D8-C1; C8-D9-C1; C9-D1-C1; C9-D2-C1; C9-D3-C1; C9-D4-C1; C9-D5-C1; C9-D6-C1; C9-D7-C1; C9-D8-C1; C9-D9-C1; C1-D1-C2; C1-D2-C2; C1-D3-C2; C1-D4-C2; C1-D5-C2; C1-D6-C2; C1-D7-C2; C1-D8-C2; C1-D9-C2; C2-D1-C2; C2-D2-C2; C2-D3-C2; C2-D4-C2; C2-D5-C2; C2-D6-C2; C2-D7-C2; C2-D8-C2; C2-D9-C2; C3-D1-C2; C3-D2-C2; C3-D3-C2; C3-D4-C2; C3-D5-C2; C3-D6-C2; C3-D7-C2; C3-D8-C2; C3-D9-C2; C4-D1-C2; C4-D2-C2; C4-D3-C2; C4-D4-C2; C4-D5-C2; C4-D6-C2; C4-D7-C2; C4-D8-C2; C4-D9-C2; C5-D1-C2; C5-D2-C2; C5-D3-C2; C5-D4-C2; C5-D5-C2; C5-D6-C2; C5-D7-C2; C5-D8-C2; C5-D9-C2; C6-D1-C2; C6-D2-C2; C6-D3-C2; C6-D4-C2; C6-D5-C2; C6-D6-C2; C6-D7-C2; C6-D8-C2; C6-D9-C2; C7-D1-C2; C7-D2-C2; C7-D3-C2; C7-D4-C2; C7-D5-C2; C7-D6-C2; C7-D7-C2; C7-D8-C2; C7-D9-C2; C8-D1-C2; C8-D2-C2; C8-D3-C2; C8-D4-C2; C8-D5-C2; C8-D6-C2; C8-D7-C2; C8-D8-C2; C8-D9-C2; C9-D1-C2; C9-D2-C2; C9-D3-C2; C9-D4-C2; C9-D5-C2; C9-D6-C2; C9-D7-C2; C9-D8-C2; C9-D9-C2; C1-D1-C3; C1-D2-C3; C1-D3-C3; C1-D4-C3; C1-D5-C3; C1-D6-C3; C1-D7-C3; C1-D8-C3; C1-D9-C3; C2-D1-C3; C2-D2-C3; C2-D3-C3; C2-D4-C3; C2-D5-C3; C2-D6-C3; C2-D7-C3; C2-D8-C3; C2-D9-C3; C3-D1-C3; C3-D2-C3; C3-D3-C3; C3-D4-C3; C3-D5-C3; C3-D6-C3; C3-D7-C3; C3-D8-C3; C3-D9-C3; C4-D1-C3; C4-D2-C3; C4-D3-C3; C4-D4-C3; C4-D5-C3; C4-D6-C3; C4-D7-C3; C4-D8-C3; C4-D9-C3; C5-D1-C3; C5-D2-C3; C5-D3-C3; C5-D4-C3; C5-D5-C3; C5-D6-C3; C5-D7-C3; C5-D8-C3; C5-D9-C3; C6-D1-C3; C6-D2-C3; C6-D3-C3; C6-D4-C3; C6-D5-C3; C6-D6-C3; C6-D7-C3; C6-D8-C3; C6-D9-C3; C7-D1-C3; C7-D2-C3; C7-D3-C3; C7-D4-C3; C7-D5-C3; C7-D6-C3; C7-D7-C3; C7-D8-C3; C7-D9-C3; C8-D1-C3; C8-D2-C3; C8-D3-C3; C8-D4-C3; C8-D5-C3; C8-D6-C3; C8-D7-C3; C8-D8-C3; C8-D9-C3; C9-D1-C3; C9-D2-C3; C9-D3-C3; C9-D4-C3; C9-D5-C3; C9-D6-C3; C9-D7-C3; C9-D8-C3; C9-D9-C3; C1-D1-C4; C1-D2-C4; C1-D3-C4; C1-D4-C4; C1-D5-C4; C1-D6-C4; C1-D7-C4; C1-D8-C4; C1-D9-C4; C2-D1-C4; C2-D2-C4; C2-D3-C4; C2-D4-C4; C2-D5-C4; C2-D6-C4; C2-D7-C4; C2-D8-C4; C2-D9-C4; C3-D1-C4; C3-D2-C4; C3-D3-C4; C3-D4-C4; C3-D5-C4; C3-D6-C4; C3-D7-C4; C3-D8-C4; C3-D9-C4; C4-D1-C4; C4-D2-C4; C4-D3-C4; C4-D4-C4; C4-D5-C4; C4-D6-C4; C4-D7-C4; C4-D8-C4; C4-D9-C4; C5-D1-C4; C5-D2-C4; C5-D3-C4; C5-D4-C4; C5-D5-C4; C5-D6-C4; C5-D7-C4; C5-D8-C4; C5-D9-C4; C6-D1-C4; C6-D2-C4; C6-D3-C4; C6-D4-C4; C6-D5-C4; C6-D6-C4; C6-D7-C4; C6-D8-C4; C6-D9-C4; C7-D1-C4; C7-D2-C4; C7-D3-C4; C7-D4-C4; C7-D5-C4; C7-D6-C4; C7-D7-C4; C7-D8-C4; C7-D9-C4; C8-D1-C4; C8-D2-C4; C8-D3-C4; C8-D4-C4; C8-D5-C4; C8-D6-C4; C8-D7-C4; C8-D8-C4; C8-D9-C4; C9-D1-C4; C9-D2-C4; C9-D3-C4; C9-D4-C4; C9-D5-C4; C9-D6-C4; C9-D7-C4; C9-D8-C4; C9-D9-C4; C1-D1-C5; C1-D2-C5; C1-D3-C5; C1-D4-C5; C1-D5-C5; C1-D6-C5; C1-D7-C5; C1-D8-C5; C1-D9-C5; C2-D1-C5; C2-D2-C5; C2-D3-C5; C2-D4-C5; C2-D5-C5; C2-D6-C5; C2-D7-C5; C2-D8-C5; C2-D9-C5; C3-D1-C5; C3-D2-C5; C3-D3-C5; C3-D4-C5; C3-D5-C5; C3-D6-C5; C3-D7-C5; C3-D8-C5; C3-D9-C5; C4-D1-C5; C4-D2-C5; C4-D3-C5; C4-D4-C5; C4-D5-C5; C4-D6-C5; C4-D7-C5; C4-D8-C5; C4-D9-C5; C5-D1-C5; C5-D2-C5; C5-D3-C5; C5-D4-C5; C5-D5-C5; C5-D6-C5; C5-D7-C5; C5-D8-C5; C5-D9-C5; C6-D1-C5; C6-D2-C5; C6-D3-C5; C6-D4-C5; C6-D5-C5; C6-D6-C5; C6-D7-C5; C6-D8-C5; C6-D9-C5; C7-D1-C5; C7-D2-C5; C7-D3-C5; C7-D4-C5; C7-D5-C5; C7-D6-C5; C7-D7-C5; C7-D8-C5; C7-D9-C5; C8-D1-C5; C8-D2-C5; C8-D3-C5; C8-D4-C5; C8-D5-C5; C8-D6-C5; C8-D7-C5; C8-D8-C5; C8-D9-C5; C9-D1-C5; C9-D2-C5; C9-D3-C5; C9-D4-C5; C9-D5-C5; C9-D6-C5; C9-D7-C5; C9-D8-C5; C9-D9-C5; C1-D1-C6; C1-D2-C6; C1-D3-C6; C1-D4-C6; C1-D5-C6; C1-D6-C6; C1-D7-C6; C1-D8-C6; C1-D9-C6; C2-D1-C6; C2-D2-C6; C2-D3-C6; C2-D4-C6; C2-D5-C6; C2-D6-C6; C2-D7-C6; C2-D8-C6; C2-D9-C6; C3-D1-C6; C3-D2-C6; C3-D3-C6; C3-D4-C6; C3-D5-C6; C3-D6-C6; C3-D7-C6; C3-D8-C6; C3-D9-C6; C4-D1-C6; C4-D2-C6; C4-D3-C6; C4-D4-C6; C4-D5-C6; C4-D6-C6; C4-D7-C6; C4-D8-C6; C4-D9-C6; C5-D1-C6; C5-D2-C6; C5-D3-C6; C5-D4-C6; C5-D5-C6; C5-D6-C6; C5-D7-C6; C5-D8-C6; C5-D9-C6; C6-D1-C6; C6-D2-C6; C6-D3-C6; C6-D4-C6; C6-D5-C6; C6-D6-C6; C6-D7-C6; C6-D8-C6; C6-D9-C6; C7-D1-C6; C7-D2-C6; C7-D3-C6; C7-D4-C6; C7-D5-C6; C7-D6-C6; C7-D7-C6; C7-D8-C6; C7-D9-C6; C8-D1-C6; C8-D2-C6; C8-D3-C6; C8-D4-C6; C8-D5-C6; C8-D6-C6; C8-D7-C6; C8-D8-C6; C8-D9-C6; C9-D1-C6; C9-D2-C6; C9-D3-C6; C9-D4-C6; C9-D5-C6; C9-D6-C6; C9-D7-C6; C9-D8-C6; C9-D9-C6; C1-D1-C7; C1-D2-C7; C1-D3-C7; C1-D4-C7; C1-D5-C7; C1-D6-C7; C1-D7-C7; C1-D8-C7; C1-D9-C7; C2-D1-C7; C2-D2-C7; C2-D3-C7; C2-D4-C7; C2-D5-C7; C2-D6-C7; C2-D7-C7; C2-D8-C7; C2-D9-C7; C3-D1-C7; C3-D2-C7; C3-D3-C7; C3-D4-C7; C3-D5-C7; C3-D6-C7; C3-D7-C7; C3-D8-C7; C3-D9-C7; C4-D1-C7; C4-D2-C7; C4-D3-C7; C4-D4-C7; C4-D5-C7; C4-D6-C7; C4-D7-C7; C4-D8-C7; C4-D9-C7; C5-D1-C7; C5-D2-C7; C5-D3-C7; C5-D4-C7; C5-D5-C7; C5-D6-C7; C5-D7-C7; C5-D8-C7; C5-D9-C7; C6-D1-C7; C6-D2-C7; C6-D3-C7; C6-D4-C7; C6-D5-C7; C6-D6-C7; C6-D7-C7; C6-D8-C7; C6-D9-C7; C7-D1-C7; C7-D2-C7; C7-D3-C7; C7-D4-C7; C7-D5-C7; C7-D6-C7; C7-D7-C7; C7-D8-C7; C7-D9-C7; C8-D1-C7; C8-D2-C7; C8-D3-C7; C8-D4-C7; C8-D5-C7; C8-D6-C7; C8-D7-C7; C8-D8-C7; C8-D9-C7; C9-D1-C7; C9-D2-C7; C9-D3-C7; C9-D4-C7; C9-D5-C7; C9-D6-C7; C9-D7-C7; C9-D8-C7; C9-D9-C7; C1-D1-C8; C1-D2-C8; C1-D3-C8; C1-D4-C8; C1-D5-C8; C1-D6-C8; C1-D7-C8; C1-D8-C8; C1-D9-C8; C2-D1-C8; C2-D2-C8; C2-D3-C8; C2-D4-C8; C2-D5-C8; C2-D6-C8; C2-D7-C8; C2-D8-C8; C2-D9-C8; C3-D1-C8; C3-D2-C8; C3-D3-C8; C3-D4-C8; C3-D5-C8; C3-D6-C8; C3-D7-C8; C3-D8-C8; C3-D9-C8; C4-D1-C8; C4-D2-C8; C4-D3-C8; C4-D4-C8; C4-D5-C8; C4-D6-C8; C4-D7-C8; C4-D8-C8; C4-D9-C8; C5-D1-C8; C5-D2-C8; C5-D3-C8; C5-D4-C8; C5-D5-C8; C5-D6-C8; C5-D7-C8; C5-D8-C8; C5-D9-C8; C6-D1-C8; C6-D2-C8; C6-D3-C8; C6-D4-C8; C6-D5-C8; C6-D6-C8; C6-D7-C8; C6-D8-C8; C6-D9-C8; C7-D1-C8; C7-D2-C8; C7-D3-C8; C7-D4-C8; C7-D5-C8; C7-D6-C8; C7-D7-C8; C7-D8-C8; C7-D9-C8; C8-D1-C8; C8-D2-C8; C8-D3-C8; C8-D4-C8; C8-D5-C8; C8-D6-C8; C8-D7-C8; C8-D8-C8; C8-D9-C8; C9-D1-C8; C9-D2-C8; C9-D3-C8; C9-D4-C8; C9-D5-C8; C9-D6-C8; C9-D7-C8; C9-D8-C8; C9-D9-C8; C1-D1-C9; C1-D2-C9; C1-D3-C9; C1-D4-C9; C1-D5-C9; C1-D6-C9; C1-D7-C9; C1-D8-C9; C1-D9-C9; C2-D1-C9; C2-D2-C9; C2-D3-C9; C2-D4-C9; C2-D5-C9; C2-D6-C9; C2-D7-C9; C2-D8-C9; C2-D9-C9; C3-D1-C9; C3-D2-C9; C3-D3-C9; C3-D4-C9; C3-D5-C9; C3-D6-C9; C3-D7-C9; C3-D8-C9; C3-D9-C9; C4-D1-C9; C4-D2-C9; C4-D3-C9; C4-D4-C9; C4-D5-C9; C4-D6-C9; C4-D7-C9; C4-D8-C9; C4-D9-C9; C5-D1-C9; C5-D2-C9; C5-D3-C9; C5-D4-C9; C5-D5-C9; C5-D6-C9; C5-D7-C9; C5-D8-C9; C5-D9-C9; C6-D1-C9; C6-D2-C9; C6-D3-C9; C6-D4-C9; C6-D5-C9; C6-D6-C9; C6-D7-C9; C6-D8-C9; C6-D9-C9; C7-D1-C9; C7-D2-C9; C7-D3-C9; C7-D4-C9; C7-D5-C9; C7-D6-C9; C7-D7-C9; C7-D8-C9; C7-D9-C9; C8-D1-C9; C8-D2-C9; C8-D3-C9; C8-D4-C9; C8-D5-C9; C8-D6-C9; C8-D7-C9; C8-D8-C9; C8-D9-C9; C9-D1-C9; C9-D2-C9; C9-D3-C9; C9-D4-C9; C9-D5-C9; C9-D6-C9; C9-D7-C9; C9-D8-C9; C9-D9-C9; M1-D1-C1; M1-D2-C1; M1-D3-C1; M1-D4-C1; M1-D5-C1; M1-D6-C1; M1-D7-C1; M1-D8-C1; M1-D9-C1; M1-D1-C2; M1-D2-C2; M1-D3-C2; M1-D4-C2; M1-D5-C2; M1-D6-C2; M1-D7-C2; M1-D8-C2; M1-D9-C2; M1-D1-C3; M1-D2-C3; M1-D3-C3; M1-D4-C3; M1-D5-C3; M1-D6-C3; M1-D7-C3; M1-D8-C3; M1-D9-C3; M1-D1-C4; M1-D2-C4; M1-D3-C4; M1-D4-C4; M1-D5-C4; M1-D6-C4; M1-D7-C4; M1-D8-C4; M1-D9-C4; M1-D1-C5; M1-D2-C5; M1-D3-C5; M1-D4-C5; M1-D5-C5; M1-D6-C5; M1-D7-C5; M1-D8-C5; M1-D9-C5; M1-D1-C6; M1-D2-C6; M1-D3-C6; M1-D4-C6; M1-D5-C6; M1-D6-C6; M1-D7-C6; M1-D8-C6; M1-D9-C6; M1-D1-C7; M1-D2-C7; M1-D3-C7; M1-D4-C7; M1-D5-C7; M1-D6-C7; M1-D7-C7; M1-D8-C7; M1-D9-C7; M1-D1-C8; M1-D2-C8; M1-D3-C8; M1-D4-C8; M1-D5-C8; M1-D6-C8; M1-D7-C8; M1-D8-C8; M1-D9-C8; M1-D1-C9; M1-D2-C9; M1-D3-C9; M1-D4-C9; M1-D5-C9; M1-D6-C9; M1-D7-C9; M1-D8-C9; M1-D9-C9; M2-D1-C1; M2-D2-C1; M2-D3-C1; M2-D4-C1; M2-D5-C1; M2-D6-C1; M2-D7-C1; M2-D8-C1; M2-D9-C1; M2-D1-C2; M2-D2-C2; M2-D3-C2; M2-D4-C2; M2-D5-C2; M2-D6-C2; M2-D7-C2; M2-D8-C2; M2-D9-C2; M2-D1-C3; M2-D2-C3; M2-D3-C3; M2-D4-C3; M2-D5-C3; M2-D6-C3; M2-D7-C3; M2-D8-C3; M2-D9-C3; M2-D1-C4; M2-D2-C4; M2-D3-C4; M2-D4-C4; M2-D5-C4; M2-D6-C4; M2-D7-C4; M2-D8-C4; M2-D9-C4; M2-D1-C5; M2-D2-C5; M2-D3-C5; M2-D4-C5; M2-D5-C5; M2-D6-C5; M2-D7-C5; M2-D8-C5; M2-D9-C5; M2-D1-C6; M2-D2-C6; M2-D3-C6; M2-D4-C6; M2-D5-C6; M2-D6-C6; M2-D7-C6; M2-D8-C6; M2-D9-C6; M2-D1-C7; M2-D2-C7; M2-D3-C7; M2-D4-C7; M2-D5-C7; M2-D6-C7; M2-D7-C7; M2-D8-C7; M2-D9-C7; M2-D1-C8; M2-D2-C8; M2-D3-C8; M2-D4-C8; M2-D5-C8; M2-D6-C8; M2-D7-C8; M2-D8-C8; M2-D9-C8; M2-D1-C9; M2-D2-C9; M2-D3-C9; M2-D4-C9; M2-D5-C9; M2-D6-C9; M2-D7-C9; M2-D8-C9; M2-D9-C9; M3-D1-C1; M3-D2-C1; M3-D3-C1; M3-D4-C1; M3-D5-C1; M3-D6-C1; M3-D7-C1; M3-D8-C1; M3-D9-C1; M3-D1-C2; M3-D2-C2; M3-D3-C2; M3-D4-C2; M3-D5-C2; M3-D6-C2; M3-D7-C2; M3-D8-C2; M3-D9-C2; M3-D1-C3; M3-D2-C3; M3-D3-C3; M3-D4-C3; M3-D5-C3; M3-D6-C3; M3-D7-C3; M3-D8-C3; M3-D9-C3; M3-D1-C4; M3-D2-C4; M3-D3-C4; M3-D4-C4; M3-D5-C4; M3-D6-C4; M3-D7-C4; M3-D8-C4; M3-D9-C4; M3-D1-C5; M3-D2-C5; M3-D3-C5; M3-D4-C5; M3-D5-C5; M3-D6-C5; M3-D7-C5; M3-D8-C5; M3-D9-C5; M3-D1-C6; M3-D2-C6; M3-D3-C6; M3-D4-C6; M3-D5-C6; M3-D6-C6; M3-D7-C6; M3-D8-C6; M3-D9-C6; M3-D1-C7; M3-D2-C7; M3-D3-C7; M3-D4-C7; M3-D5-C7; M3-D6-C7; M3-D7-C7; M3-D8-C7; M3-D9-C7; M3-D1-C8; M3-D2-C8; M3-D3-C8; M3-D4-C8; M3-D5-C8; M3-D6-C8; M3-D7-C8; M3-D8-C8; M3-D9-C8; M3-D1-C9; M3-D2-C9; M3-D3-C9; M3-D4-C9; M3-D5-C9; M3-D6-C9; M3-D7-C9; M3-D8-C9; M3-D9-C9; M4-D1-C1; M4-D2-C1; M4-D3-C1; M4-D4-C1; M4-D5-C1; M4-D6-C1; M4-D7-C1; M4-D8-C1; M4-D9-C1; M4-D1-C2; M4-D2-C2; M4-D3-C2; M4-D4-C2; M4-D5-C2; M4-D6-C2; M4-D7-C2; M4-D8-C2; M4-D9-C2; M4-D1-C3; M4-D2-C3; M4-D3-C3; M4-D4-C3; M4-D5-C3; M4-D6-C3; M4-D7-C3; M4-D8-C3; M4-D9-C3; M4-D1-C4; M4-D2-C4; M4-D3-C4; M4-D4-C4; M4-D5-C4; M4-D6-C4; M4-D7-C4; M4-D8-C4; M4-D9-C4; M4-D1-C5; M4-D2-C5; M4-D3-C5; M4-D4-C5; M4-D5-C5; M4-D6-C5; M4-D7-C5; M4-D8-C5; M4-D9-C5; M4-D1-C6; M4-D2-C6; M4-D3-C6; M4-D4-C6; M4-D5-C6; M4-D6-C6; M4-D7-C6; M4-D8-C6; M4-D9-C6; M4-D1-C7; M4-D2-C7; M4-D3-C7; M4-D4-C7; M4-D5-C7; M4-D6-C7; M4-D7-C7; M4-D8-C7; M4-D9-C7; M4-D1-C8; M4-D2-C8; M4-D3-C8; M4-D4-C8; M4-D5-C8; M4-D6-C8; M4-D7-C8; M4-D8-C8; M4-D9-C8; M4-D1-C9; M4-D2-C9; M4-D3-C9; M4-D4-C9; M4-D5-C9; M4-D6-C9; M4-D7-C9; M4-D8-C9; M4-D9-C9; M5-D1-C1; M5-D2-C1; M5-D3-C1; M5-D4-C1; M5-D5-C1; M5-D6-C1; M5-D7-C1; M5-D8-C1; M5-D9-C1; M5-D1-C2; M5-D2-C2; M5-D3-C2; M5-D4-C2; M5-D5-C2; M5-D6-C2; M5-D7-C2; M5-D8-C2; M5-D9-C2; M5-D1-C3; M5-D2-C3; M5-D3-C3; M5-D4-C3; M5-D5-C3; M5-D6-C3; M5-D7-C3; M5-D8-C3; M5-D9-C3; M5-D1-C4; M5-D2-C4; M5-D3-C4; M5-D4-C4; M5-D5-C4; M5-D6-C4; M5-D7-C4; M5-D8-C4; M5-D9-C4; M5-D1-C5; M5-D2-C5; M5-D3-C5; M5-D4-C5; M5-D5-C5; M5-D6-C5; M5-D7-C5; M5-D8-C5; M5-D9-C5; M5-D1-C6; M5-D2-C6; M5-D3-C6; M5-D4-C6; M5-D5-C6; M5-D6-C6; M5-D7-C6; M5-D8-C6; M5-D9-C6; M5-D1-C7; M5-D2-C7; M5-D3-C7; M5-D4-C7; M5-D5-C7; M5-D6-C7; M5-D7-C7; M5-D8-C7; M5-D9-C7; M5-D1-C8; M5-D2-C8; M5-D3-C8; M5-D4-C8; M5-D5-C8; M5-D6-C8; M5-D7-C8; M5-D8-C8; M5-D9-C8; M5-D1-C9; M5-D2-C9; M5-D3-C9; M5-D4-C9; M5-D5-C9; M5-D6-C9; M5-D7-C9; M5-D8-C9; M5-D9-C9; C1-D1-C1; C1-D2-C1; C1-D3-C1; C1-D4-C1; C1-D5-C1; C1-D6-C1; C1-D7-C1; C1-D8-C1; C1-D9-C1; C1-D1-C2; C1-D2-C2; C1-D3-C2; C1-D4-C2; C1-D5-C2; C1-D6-C2; C1-D7-C2; C1-D8-C2; C1-D9-C2; C1-D1-C3; C1-D2-C3; C1-D3-C3; C1-D4-C3; C1-D5-C3; C1-D6-C3; C1-D7-C3; C1-D8-C3; C1-D9-C3; C1-D1-C4; C1-D2-C4; C1-D3-C4; C1-D4-C4; C1-D5-C4; C1-D6-C4; C1-D7-C4; C1-D8-C4; C1-D9-C4; C1-D1-C5; C1-D2-C5; C1-D3-C5; C1-D4-C5; C1-D5-C5; C1-D6-C5; C1-D7-C5; C1-D8-C5; C1-D9-C5; C1-D1-C6; C1-D2-C6; C1-D3-C6; C1-D4-C6; C1-D5-C6; C1-D6-C6; C1-D7-C6; C1-D8-C6; C1-D9-C6; C1-D1-C7; C1-D2-C7; C1-D3-C7; C1-D4-C7; C1-D5-C7; C1-D6-C7; C1-D7-C7; C1-D8-C7; C1-D9-C7; C1-D1-C8; C1-D2-C8; C1-D3-C8; C1-D4-C8; C1-D5-C8; C1-D6-C8; C1-D7-C8; C1-D8-C8; C1-D9-C8; C1-D1-C9; C1-D2-C9; C1-D3-C9; C1-D4-C9; C1-D5-C9; C1-D6-C9; C1-D7-C9; C1-D8-C9; C1-D9-C9; C2-D1-C1; C2-D2-C1; C2-D3-C1; C2-D4-C1; C2-D5-C1; C2-D6-C1; C2-D7-C1; C2-D8-C1; C2-D9-C1; C2-D1-C2; C2-D2-C2; C2-D3-C2; C2-D4-C2; C2-D5-C2; C2-D6-C2; C2-D7-C2; C2-D8-C2; C2-D9-C2; C2-D1-C3; C2-D2-C3; C2-D3-C3; C2-D4-C3; C2-D5-C3; C2-D6-C3; C2-D7-C3; C2-D8-C3; C2-D9-C3; C2-D1-C4; C2-D2-C4; C2-D3-C4; C2-D4-C4; C2-D5-C4; C2-D6-C4; C2-D7-C4; C2-D8-C4; C2-D9-C4; C2-D1-C5; C2-D2-C5; C2-D3-C5; C2-D4-C5; C2-D5-C5; C2-D6-C5; C2-D7-C5; C2-D8-C5; C2-D9-C5; C2-D1-C6; C2-D2-C6; C2-D3-C6; C2-D4-C6; C2-D5-C6; C2-D6-C6; C2-D7-C6; C2-D8-C6; C2-D9-C6; C2-D1-C7; C2-D2-C7; C2-D3-C7; C2-D4-C7; C2-D5-C7; C2-D6-C7; C2-D7-C7; C2-D8-C7; C2-D9-C7; C2-D1-C8; C2-D2-C8; C2-D3-C8; C2-D4-C8; C2-D5-C8; C2-D6-C8; C2-D7-C8; C2-D8-C8; C2-D9-C8; C2-D1-C9; C2-D2-C9; C2-D3-C9; C2-D4-C9; C2-D5-C9; C2-D6-C9; C2-D7-C9; C2-D8-C9; C2-D9-C9; C3-D1-C1; C3-D2-C1; C3-D3-C1; C3-D4-C1; C3-D5-C1; C3-D6-C1; C3-D7-C1; C3-D8-C1; C3-D9-C1; C3-D1-C2; C3-D2-C2; C3-D3-C2; C3-D4-C2; C3-D5-C2; C3-D6-C2; C3-D7-C2; C3-D8-C2; C3-D9-C2; C3-D1-C3; C3-D2-C3; C3-D3-C3; C3-D4-C3; C3-D5-C3; C3-D6-C3; C3-D7-C3; C3-D8-C3; C3-D9-C3; C3-D1-C4; C3-D2-C4; C3-D3-C4; C3-D4-C4; C3-D5-C4; C3-D6-C4; C3-D7-C4; C3-D8-C4; C3-D9-C4; C3-D1-C5; C3-D2-C5; C3-D3-C5; C3-D4-C5; C3-D5-C5; C3-D6-C5; C3-D7-C5; C3-D8-C5; C3-D9-C5; C3-D1-C6; C3-D2-C6; C3-D3-C6; C3-D4-C6; C3-D5-C6; C3-D6-C6; C3-D7-C6; C3-D8-C6; C3-D9-C6; C3-D1-C7; C3-D2-C7; C3-D3-C7; C3-D4-C7; C3-D5-C7; C3-D6-C7; C3-D7-C7; C3-D8-C7; C3-D9-C7; C3-D1-C8; C3-D2-C8; C3-D3-C8; C3-D4-C8; C3-D5-C8; C3-D6-C8; C3-D7-C8; C3-D8-C8; C3-D9-C8; C3-D1-C9; C3-D2-C9; C3-D3-C9; C3-D4-C9; C3-D5-C9; C3-D6-C9; C3-D7-C9; C3-D8-C9; C3-D9-C9; C4-D1-C1; C4-D2-C1; C4-D3-C1; C4-D4-C1; C4-D5-C1; C4-D6-C1; C4-D7-C1; C4-D8-C1; C4-D9-C1; C4-D1-C2; C4-D2-C2; C4-D3-C2; C4-D4-C2; C4-D5-C2; C4-D6-C2; C4-D7-C2; C4-D8-C2; C4-D9-C2; C4-D1-C3; C4-D2-C3; C4-D3-C3; C4-D4-C3; C4-D5-C3; C4-D6-C3; C4-D7-C3; C4-D8-C3; C4-D9-C3; C4-D1-C4; C4-D2-C4; C4-D3-C4; C4-D4-C4; C4-D5-C4; C4-D6-C4; C4-D7-C4; C4-D8-C4; C4-D9-C4; C4-D1-C5; C4-D2-C5; C4-D3-C5; C4-D4-C5; C4-D5-C5; C4-D6-C5; C4-D7-C5; C4-D8-C5; C4-D9-C5; C4-D1-C6; C4-D2-C6; C4-D3-C6; C4-D4-C6; C4-D5-C6; C4-D6-C6; C4-D7-C6; C4-D8-C6; C4-D9-C6; C4-D1-C7; C4-D2-C7; C4-D3-C7; C4-D4-C7; C4-D5-C7; C4-D6-C7; C4-D7-C7; C4-D8-C7; C4-D9-C7; C4-D1-C8; C4-D2-C8; C4-D3-C8; C4-D4-C8; C4-D5-C8; C4-D6-C8; C4-D7-C8; C4-D8-C8; C4-D9-C8; C4-D1-C9; C4-D2-C9; C4-D3-C9; C4-D4-C9; C4-D5-C9; C4-D6-C9; C4-D7-C9; C4-D8-C9; C4-D9-C9; C5-D1-C1; C5-D2-C1; C5-D3-C1; C5-D4-C1; C5-D5-C1; C5-D6-C1; C5-D7-C1; C5-D8-C1; C5-D9-C1; C5-D1-C2; C5-D2-C2; C5-D3-C2; C5-D4-C2; C5-D5-C2; C5-D6-C2; C5-D7-C2; C5-D8-C2; C5-D9-C2; C5-D1-C3; C5-D2-C3; C5-D3-C3; C5-D4-C3; C5-D5-C3; C5-D6-C3; C5-D7-C3; C5-D8-C3; C5-D9-C3; C5-D1-C4; C5-D2-C4; C5-D3-C4; C5-D4-C4; C5-D5-C4; C5-D6-C4; C5-D7-C4; C5-D8-C4; C5-D9-C4; C5-D1-C5; C5-D2-C5; C5-D3-C5; C5-D4-C5; C5-D5-C5; C5-D6-C5; C5-D7-C5; C5-D8-C5; C5-D9-C5; C5-D1-C6; C5-D2-C6; C5-D3-C6; C5-D4-C6; C5-D5-C6; C5-D6-C6; C5-D7-C6; C5-D8-C6; C5-D9-C6; C5-D1-C7; C5-D2-C7; C5-D3-C7; C5-D4-C7; C5-D5-C7; C5-D6-C7; C5-D7-C7; C5-D8-C7; C5-D9-C7; C5-D1-C8; C5-D2-C8; C5-D3-C8; C5-D4-C8; C5-D5-C8; C5-D6-C8; C5-D7-C8; C5-D8-C8; C5-D9-C8; C5-D1-C9; C5-D2-C9; C5-D3-C9; C5-D4-C9; C5-D5-C9; C5-D6-C9; C5-D7-C9; C5-D8-C9; C5-D9-C9; C6-D1-C1; C6-D2-C1; C6-D3-C1; C6-D4-C1; C6-D5-C1; C6-D6-C1; C6-D7-C1; C6-D8-C1; C6-D9-C1; C6-D1-C2; C6-D2-C2; C6-D3-C2; C6-D4-C2; C6-D5-C2; C6-D6-C2; C6-D7-C2; C6-D8-C2; C6-D9-C2; C6-D1-C3; C6-D2-C3; C6-D3-C3; C6-D4-C3; C6-D5-C3; C6-D6-C3; C6-D7-C3; C6-D8-C3; C6-D9-C3; C6-D1-C4; C6-D2-C4; C6-D3-C4; C6-D4-C4; C6-D5-C4; C6-D6-C4; C6-D7-C4; C6-D8-C4; C6-D9-C4; C6-D1-C5; C6-D2-C5; C6-D3-C5; C6-D4-C5; C6-D5-C5; C6-D6-C5; C6-D7-C5; C6-D8-C5; C6-D9-C5; C6-D1-C6; C6-D2-C6; C6-D3-C6; C6-D4-C6; C6-D5-C6; C6-D6-C6; C6-D7-C6; C6-D8-C6; C6-D9-C6; C6-D1-C7; C6-D2-C7; C6-D3-C7; C6-D4-C7; C6-D5-C7; C6-D6-C7; C6-D7-C7; C6-D8-C7; C6-D9-C7; C6-D1-C8; C6-D2-C8; C6-D3-C8; C6-D4-C8; C6-D5-C8; C6-D6-C8; C6-D7-C8; C6-D8-C8; C6-D9-C8; C6-D1-C9; C6-D2-C9; C6-D3-C9; C6-D4-C9; C6-D5-C9; C6-D6-C9; C6-D7-C9; C6-D8-C9; C6-D9-C9; C7-D1-C1; C7-D2-C1; C7-D3-C1; C7-D4-C1; C7-D5-C1; C7-D6-C1; C7-D7-C1; C7-D8-C1; C7-D9-C1; C7-D1-C2; C7-D2-C2; C7-D3-C2; C7-D4-C2; C7-D5-C2; C7-D6-C2; C7-D7-C2; C7-D8-C2; C7-D9-C2; C7-D1-C3; C7-D2-C3; C7-D3-C3; C7-D4-C3; C7-D5-C3; C7-D6-C3; C7-D7-C3; C7-D8-C3; C7-D9-C3; C7-D1-C4; C7-D2-C4; C7-D3-C4; C7-D4-C4; C7-D5-C4; C7-D6-C4; C7-D7-C4; C7-D8-C4; C7-D9-C4; C7-D1-C5; C7-D2-C5; C7-D3-C5; C7-D4-C5; C7-D5-C5; C7-D6-C5; C7-D7-C5; C7-D8-C5; C7-D9-C5; C7-D1-C6; C7-D2-C6; C7-D3-C6; C7-D4-C6; C7-D5-C6; C7-D6-C6; C7-D7-C6; C7-D8-C6; C7-D9-C6; C7-D1-C7; C7-D2-C7; C7-D3-C7; C7-D4-C7; C7-D5-C7; C7-D6-C7; C7-D7-C7; C7-D8-C7; C7-D9-C7; C7-D1-C8; C7-D2-C8; C7-D3-C8; C7-D4-C8; C7-D5-C8; C7-D6-C8; C7-D7-C8; C7-D8-C8; C7-D9-C8; C7-D1-C9; C7-D2-C9; C7-D3-C9; C7-D4-C9; C7-D5-C9; C7-D6-C9; C7-D7-C9; C7-D8-C9; C7-D9-C9; C8-D1-C1; C8-D2-C1; C8-D3-C1; C8-D4-C1; C8-D5-C1; C8-D6-C1; C8-D7-C1; C8-D8-C1; C8-D9-C1; C8-D1-C2; C8-D2-C2; C8-D3-C2; C8-D4-C2; C8-D5-C2; C8-D6-C2; C8-D7-C2; C8-D8-C2; C8-D9-C2; C8-D1-C3; C8-D2-C3; C8-D3-C3; C8-D4-C3; C8-D5-C3; C8-D6-C3; C8-D7-C3; C8-D8-C3; C8-D9-C3; C8-D1-C4; C8-D2-C4; C8-D3-C4; C8-D4-C4; C8-D5-C4; C8-D6-C4; C8-D7-C4; C8-D8-C4; C8-D9-C4; C8-D1-C5; C8-D2-C5; C8-D3-C5; C8-D4-C5; C8-D5-C5; C8-D6-C5; C8-D7-C5; C8-D8-C5; C8-D9-C5; C8-D1-C6; C8-D2-C6; C8-D3-C6; C8-D4-C6; C8-D5-C6; C8-D6-C6; C8-D7-C6; C8-D8-C6; C8-D9-C6; C8-D1-C7; C8-D2-C7; C8-D3-C7; C8-D4-C7; C8-D5-C7; C8-D6-C7; C8-D7-C7; C8-D8-C7; C8-D9-C7; C8-D1-C8; C8-D2-C8; C8-D3-C8; C8-D4-C8; C8-D5-C8; C8-D6-C8; C8-D7-C8; C8-D8-C8; C8-D9-C8; C8-D1-C9; C8-D2-C9; C8-D3-C9; C8-D4-C9; C8-D5-C9; C8-D6-C9; C8-D7-C9; C8-D8-C9; C8-D9-C9; C9-D1-C1; C9-D2-C1; C9-D3-C1; C9-D4-C1; C9-D5-C1; C9-D6-C1; C9-D7-C1; C9-D8-C1; C9-D9-C1; C9-D1-C2; C9-D2-C2; C9-D3-C2; C9-D4-C2; C9-D5-C2; C9-D6-C2; C9-D7-C2; C9-D8-C2; C9-D9-C2; C9-D1-C3; C9-D2-C3; C9-D3-C3; C9-D4-C3; C9-D5-C3; C9-D6-C3; C9-D7-C3; C9-D8-C3; C9-D9-C3; C9-D1-C4; C9-D2-C4; C9-D3-C4; C9-D4-C4; C9-D5-C4; C9-D6-C4; C9-D7-C4; C9-D8-C4; C9-D9-C4; C9-D1-C5; C9-D2-C5; C9-D3-C5; C9-D4-C5; C9-D5-C5; C9-D6-C5; C9-D7-C5; C9-D8-C5; C9-D9-C5; C9-D1-C6; C9-D2-C6; C9-D3-C6; C9-D4-C6; C9-D5-C6; C9-D6-C6; C9-D7-C6; C9-D8-C6; C9-D9-C6; C9-D1-C7; C9-D2-C7; C9-D3-C7; C9-D4-C7; C9-D5-C7; C9-D6-C7; C9-D7-C7; C9-D8-C7; C9-D9-C7; C9-D1-C8; C9-D2-C8; C9-D3-C8; C9-D4-C8; C9-D5-C8; C9-D6-C8; C9-D7-C8; C9-D8-C8; C9-D9-C8; C9-D1-C9; C9-D2-C9; C9-D3-C9; C9-D4-C9; C9-D5-C9; C9-D6-C9; C9-D7-C9; C9-D8-C9; C9-D9-C9; C1-M1-D1; C1-M1-D2; C1-M1-D3; C1-M1-D4; C1-M1-D5; C1-M1-D6; C1-M1-D7; C1-M1-D8; C1-M1-D9; C2-M1-D1; C2-M1-D2; C2-M1-D3; C2-M1-D4; C2-M1-D5; C2-M1-D6; C2-M1-D7; C2-M1-D8; C2-M1-D9; C3-M1-D1; C3-M1-D2; C3-M1-D3; C3-M1-D4; C3-M1-D5; C3-M1-D6; C3-M1-D7; C3-M1-D8; C3-M1-D9; C4-M1-D1; C4-M1-D2; C4-M1-D3; C4-M1-D4; C4-M1-D5; C4-M1-D6; C4-M1-D7; C4-M1-D8; C4-M1-D9; C5-M1-D1; C5-M1-D2; C5-M1-D3; C5-M1-D4; C5-M1-D5; C5-M1-D6; C5-M1-D7; C5-M1-D8; C5-M1-D9; C6-M1-D1; C6-M1-D2; C6-M1-D3; C6-M1-D4; C6-M1-D5; C6-M1-D6; C6-M1-D7; C6-M1-D8; C6-M1-D9; C7-M1-D1; C7-M1-D2; C7-M1-D3; C7-M1-D4; C7-M1-D5; C7-M1-D6; C7-M1-D7; C7-M1-D8; C7-M1-D9; C8-M1-D1; C8-M1-D2; C8-M1-D3; C8-M1-D4; C8-M1-D5; C8-M1-D6; C8-M1-D7; C8-M1-D8; C8-M1-D9; C9-M1-D1; C9-M1-D2; C9-M1-D3; C9-M1-D4; C9-M1-D5; C9-M1-D6; C9-M1-D7; C9-M1-D8; C9-M1-D9; C1-M2-D1; C1-M2-D2; C1-M2-D3; C1-M2-D4; C1-M2-D5; C1-M2-D6; C1-M2-D7; C1-M2-D8; C1-M2-D9; C2-M2-D1; C2-M2-D2; C2-M2-D3; C2-M2-D4; C2-M2-D5; C2-M2-D6; C2-M2-D7; C2-M2-D8; C2-M2-D9; C3-M2-D1; C3-M2-D2; C3-M2-D3; C3-M2-D4; C3-M2-D5; C3-M2-D6; C3-M2-D7; C3-M2-D8; C3-M2-D9; C4-M2-D1; C4-M2-D2; C4-M2-D3; C4-M2-D4; C4-M2-D5; C4-M2-D6; C4-M2-D7; C4-M2-D8; C4-M2-D9; C5-M2-D1; C5-M2-D2; C5-M2-D3; C5-M2-D4; C5-M2-D5; C5-M2-D6; C5-M2-D7; C5-M2-D8; C5-M2-D9; C6-M2-D1; C6-M2-D2; C6-M2-D3; C6-M2-D4; C6-M2-D5; C6-M2-D6; C6-M2-D7; C6-M2-D8; C6-M2-D9; C7-M2-D1; C7-M2-D2; C7-M2-D3; C7-M2-D4; C7-M2-D5; C7-M2-D6; C7-M2-D7; C7-M2-D8; C7-M2-D9; C8-M2-D1; C8-M2-D2; C8-M2-D3; C8-M2-D4; C8-M2-D5; C8-M2-D6; C8-M2-D7; C8-M2-D8; C8-M2-D9; C9-M2-D1; C9-M2-D2; C9-M2-D3; C9-M2-D4; C9-M2-D5; C9-M2-D6; C9-M2-D7; C9-M2-D8; C9-M2-D9; C1-M3-D1; C1-M3-D2; C1-M3-D3; C1-M3-D4; C1-M3-D5; C1-M3-D6; C1-M3-D7; C1-M3-D8; C1-M3-D9; C2-M3-D1; C2-M3-D2; C2-M3-D3; C2-M3-D4; C2-M3-D5; C2-M3-D6; C2-M3-D7; C2-M3-D8; C2-M3-D9; C3-M3-D1; C3-M3-D2; C3-M3-D3; C3-M3-D4; C3-M3-D5; C3-M3-D6; C3-M3-D7; C3-M3-D8; C3-M3-D9; C4-M3-D1; C4-M3-D2; C4-M3-D3; C4-M3-D4; C4-M3-D5; C4-M3-D6; C4-M3-D7; C4-M3-D8; C4-M3-D9; C5-M3-D1; C5-M3-D2; C5-M3-D3; C5-M3-D4; C5-M3-D5; C5-M3-D6; C5-M3-D7; C5-M3-D8; C5-M3-D9; C6-M3-D1; C6-M3-D2; C6-M3-D3; C6-M3-D4; C6-M3-D5; C6-M3-D6; C6-M3-D7; C6-M3-D8; C6-M3-D9; C7-M3-D1; C7-M3-D2; C7-M3-D3; C7-M3-D4; C7-M3-D5; C7-M3-D6; C7-M3-D7; C7-M3-D8; C7-M3-D9; C8-M3-D1; C8-M3-D2; C8-M3-D3; C8-M3-D4; C8-M3-D5; C8-M3-D6; C8-M3-D7; C8-M3-D8; C8-M3-D9; C9-M3-D1; C9-M3-D2; C9-M3-D3; C9-M3-D4; C9-M3-D5; C9-M3-D6; C9-M3-D7; C9-M3-D8; C9-M3-D9; C1-M4-D1; C1-M4-D2; C1-M4-D3; C1-M4-D4; C1-M4-D5; C1-M4-D6; C1-M4-D7; C1-M4-D8; C1-M4-D9; C2-M4-D1; C2-M4-D2; C2-M4-D3; C2-M4-D4; C2-M4-D5; C2-M4-D6; C2-M4-D7; C2-M4-D8; C2-M4-D9; C3-M4-D1; C3-M4-D2; C3-M4-D3; C3-M4-D4; C3-M4-D5; C3-M4-D6; C3-M4-D7; C3-M4-D8; C3-M4-D9; C4-M4-D1; C4-M4-D2; C4-M4-D3; C4-M4-D4; C4-M4-D5; C4-M4-D6; C4-M4-D7; C4-M4-D8; C4-M4-D9; C5-M4-D1; C5-M4-D2; C5-M4-D3; C5-M4-D4; C5-M4-D5; C5-M4-D6; C5-M4-D7; C5-M4-D8; C5-M4-D9; C6-M4-D1; C6-M4-D2; C6-M4-D3; C6-M4-D4; C6-M4-D5; C6-M4-D6; C6-M4-D7; C6-M4-D8; C6-M4-D9; C7-M4-D1; C7-M4-D2; C7-M4-D3; C7-M4-D4; C7-M4-D5; C7-M4-D6; C7-M4-D7; C7-M4-D8; C7-M4-D9; C8-M4-D1; C8-M4-D2; C8-M4-D3; C8-M4-D4; C8-M4-D5; C8-M4-D6; C8-M4-D7; C8-M4-D8; C8-M4-D9; C9-M4-D1; C9-M4-D2; C9-M4-D3; C9-M4-D4; C9-M4-D5; C9-M4-D6; C9-M4-D7; C9-M4-D8; C9-M4-D9; C1-M5-D1; C1-M5-D2; C1-M5-D3; C1-M5-D4; C1-M5-D5; C1-M5-D6; C1-M5-D7; C1-M5-D8; C1-M5-D9; C2-M5-D1; C2-M5-D2; C2-M5-D3; C2-M5-D4; C2-M5-D5; C2-M5-D6; C2-M5-D7; C2-M5-D8; C2-M5-D9; C3-M5-D1; C3-M5-D2; C3-M5-D3; C3-M5-D4; C3-M5-D5; C3-M5-D6; C3-M5-D7; C3-M5-D8; C3-M5-D9; C4-M5-D1; C4-M5-D2; C4-M5-D3; C4-M5-D4; C4-M5-D5; C4-M5-D6; C4-M5-D7; C4-M5-D8; C4-M5-D9; C5-M5-D1; C5-M5-D2; C5-M5-D3; C5-M5-D4; C5-M5-D5; C5-M5-D6; C5-M5-D7; C5-M5-D8; C5-M5-D9; C6-M5-D1; C6-M5-D2; C6-M5-D3; C6-M5-D4; C6-M5-D5; C6-M5-D6; C6-M5-D7; C6-M5-D8; C6-M5-D9; C7-M5-D1; C7-M5-D2; C7-M5-D3; C7-M5-D4; C7-M5-D5; C7-M5-D6; C7-M5-D7; C7-M5-D8; C7-M5-D9; C8-M5-D1; C8-M5-D2; C8-M5-D3; C8-M5-D4; C8-M5-D5; C8-M5-D6; C8-M5-D7; C8-M5-D8; C8-M5-D9; C9-M5-D1; C9-M5-D2; C9-M5-D3; C9-M5-D4; C9-M5-D5; C9-M5-D6; C9-M5-D7; C9-M5-D8; C9-M5-D9; C1-C1-D1; C1-C1-D2; C1-C1-D3; C1-C1-D4; C1-C1-D5; C1-C1-D6; C1-C1-D7; C1-C1-D8; C1-C1-D9; C2-C1-D1; C2-C1-D2; C2-C1-D3; C2-C1-D4; C2-C1-D5; C2-C1-D6; C2-C1-D7; C2-C1-D8; C2-C1-D9; C3-C1-D1; C3-C1-D2; C3-C1-D3; C3-C1-D4; C3-C1-D5; C3-C1-D6; C3-C1-D7; C3-C1-D8; C3-C1-D9; C4-C1-D1; C4-C1-D2; C4-C1-D3; C4-C1-D4; C4-C1-D5; C4-C1-D6; C4-C1-D7; C4-C1-D8; C4-C1-D9; C5-C1-D1; C5-C1-D2; C5-C1-D3; C5-C1-D4; C5-C1-D5; C5-C1-D6; C5-C1-D7; C5-C1-D8; C5-C1-D9; C6-C1-D1; C6-C1-D2; C6-C1-D3; C6-C1-D4; C6-C1-D5; C6-C1-D6; C6-C1-D7; C6-C1-D8; C6-C1-D9; C7-C1-D1; C7-C1-D2; C7-C1-D3; C7-C1-D4; C7-C1-D5; C7-C1-D6; C7-C1-D7; C7-C1-D8; C7-C1-D9; C8-C1-D1; C8-C1-D2; C8-C1-D3; C8-C1-D4; C8-C1-D5; C8-C1-D6; C8-C1-D7; C8-C1-D8; C8-C1-D9; C9-C1-D1; C9-C1-D2; C9-C1-D3; C9-C1-D4; C9-C1-D5; C9-C1-D6; C9-C1-D7; C9-C1-D8; C9-C1-D9; C1-C2-D1; C1-C2-D2; C1-C2-D3; C1-C2-D4; C1-C2-D5; C1-C2-D6; C1-C2-D7; C1-C2-D8; C1-C2-D9; C2-C2-D1; C2-C2-D2; C2-C2-D3; C2-C2-D4; C2-C2-D5; C2-C2-D6; C2-C2-D7; C2-C2-D8; C2-C2-D9; C3-C2-D1; C3-C2-D2; C3-C2-D3; C3-C2-D4; C3-C2-D5; C3-C2-D6; C3-C2-D7; C3-C2-D8; C3-C2-D9; C4-C2-D1; C4-C2-D2; C4-C2-D3; C4-C2-D4; C4-C2-D5; C4-C2-D6; C4-C2-D7; C4-C2-D8; C4-C2-D9; C5-C2-D1; C5-C2-D2; C5-C2-D3; C5-C2-D4; C5-C2-D5; C5-C2-D6; C5-C2-D7; C5-C2-D8; C5-C2-D9; C6-C2-D1; C6-C2-D2; C6-C2-D3; C6-C2-D4; C6-C2-D5; C6-C2-D6; C6-C2-D7; C6-C2-D8; C6-C2-D9; C7-C2-D1; C7-C2-D2; C7-C2-D3; C7-C2-D4; C7-C2-D5; C7-C2-D6; C7-C2-D7; C7-C2-D8; C7-C2-D9; C8-C2-D1; C8-C2-D2; C8-C2-D3; C8-C2-D4; C8-C2-D5; C8-C2-D6; C8-C2-D7; C8-C2-D8; C8-C2-D9; C9-C2-D1; C9-C2-D2; C9-C2-D3; C9-C2-D4; C9-C2-D5; C9-C2-D6; C9-C2-D7; C9-C2-D8; C9-C2-D9; C1-C3-D1; C1-C3-D2; C1-C3-D3; C1-C3-D4; C1-C3-D5; C1-C3-D6; C1-C3-D7; C1-C3-D8; C1-C3-D9; C2-C3-D1; C2-C3-D2; C2-C3-D3; C2-C3-D4; C2-C3-D5; C2-C3-D6; C2-C3-D7; C2-C3-D8; C2-C3-D9; C3-C3-D1; C3-C3-D2; C3-C3-D3; C3-C3-D4; C3-C3-D5; C3-C3-D6; C3-C3-D7; C3-C3-D8; C3-C3-D9; C4-C3-D1; C4-C3-D2; C4-C3-D3; C4-C3-D4; C4-C3-D5; C4-C3-D6; C4-C3-D7; C4-C3-D8; C4-C3-D9; C5-C3-D1; C5-C3-D2; C5-C3-D3; C5-C3-D4; C5-C3-D5; C5-C3-D6; C5-C3-D7; C5-C3-D8; C5-C3-D9; C6-C3-D1; C6-C3-D2; C6-C3-D3; C6-C3-D4; C6-C3-D5; C6-C3-D6; C6-C3-D7; C6-C3-D8; C6-C3-D9; C7-C3-D1; C7-C3-D2; C7-C3-D3; C7-C3-D4; C7-C3-D5; C7-C3-D6; C7-C3-D7; C7-C3-D8; C7-C3-D9; C8-C3-D1; C8-C3-D2; C8-C3-D3; C8-C3-D4; C8-C3-D5; C8-C3-D6; C8-C3-D7; C8-C3-D8; C8-C3-D9; C9-C3-D1; C9-C3-D2; C9-C3-D3; C9-C3-D4; C9-C3-D5; C9-C3-D6; C9-C3-D7; C9-C3-D8; C9-C3-D9; C1-C4-D1; C1-C4-D2; C1-C4-D3; C1-C4-D4; C1-C4-D5; C1-C4-D6; C1-C4-D7; C1-C4-D8; C1-C4-D9; C2-C4-D1; C2-C4-D2; C2-C4-D3; C2-C4-D4; C2-C4-D5; C2-C4-D6; C2-C4-D7; C2-C4-D8; C2-C4-D9; C3-C4-D1; C3-C4-D2; C3-C4-D3; C3-C4-D4; C3-C4-D5; C3-C4-D6; C3-C4-D7; C3-C4-D8; C3-C4-D9; C4-C4-D1; C4-C4-D2; C4-C4-D3; C4-C4-D4; C4-C4-D5; C4-C4-D6; C4-C4-D7; C4-C4-D8; C4-C4-D9; C5-C4-D1; C5-C4-D2; C5-C4-D3; C5-C4-D4; C5-C4-D5; C5-C4-D6; C5-C4-D7; C5-C4-D8; C5-C4-D9; C6-C4-D1; C6-C4-D2; C6-C4-D3; C6-C4-D4; C6-C4-D5; C6-C4-D6; C6-C4-D7; C6-C4-D8; C6-C4-D9; C7-C4-D1; C7-C4-D2; C7-C4-D3; C7-C4-D4; C7-C4-D5; C7-C4-D6; C7-C4-D7; C7-C4-D8; C7-C4-D9; C8-C4-D1; C8-C4-D2; C8-C4-D3; C8-C4-D4; C8-C4-D5; C8-C4-D6; C8-C4-D7; C8-C4-D8; C8-C4-D9; C9-C4-D1; C9-C4-D2; C9-C4-D3; C9-C4-D4; C9-C4-D5; C9-C4-D6; C9-C4-D7; C9-C4-D8; C9-C4-D9; C1-C5-D1; C1-C5-D2; C1-C5-D3; C1-C5-D4; C1-C5-D5; C1-C5-D6; C1-C5-D7; C1-C5-D8; C1-C5-D9; C2-C5-D1; C2-C5-D2; C2-C5-D3; C2-C5-D4; C2-C5-D5; C2-C5-D6; C2-C5-D7; C2-C5-D8; C2-C5-D9; C3-C5-D1; C3-C5-D2; C3-C5-D3; C3-C5-D4; C3-C5-D5; C3-C5-D6; C3-C5-D7; C3-C5-D8; C3-C5-D9; C4-C5-D1; C4-C5-D2; C4-C5-D3; C4-C5-D4; C4-C5-D5; C4-C5-D6; C4-C5-D7; C4-C5-D8; C4-C5-D9; C5-C5-D1; C5-C5-D2; C5-C5-D3; C5-C5-D4; C5-C5-D5; C5-C5-D6; C5-C5-D7; C5-C5-D8; C5-C5-D9; C6-C5-D1; C6-C5-D2; C6-C5-D3; C6-C5-D4; C6-C5-D5; C6-C5-D6; C6-C5-D7; C6-C5-D8; C6-C5-D9; C7-C5-D1; C7-C5-D2; C7-C5-D3; C7-C5-D4; C7-C5-D5; C7-C5-D6; C7-C5-D7; C7-C5-D8; C7-C5-D9; C8-C5-D1; C8-C5-D2; C8-C5-D3; C8-C5-D4; C8-C5-D5; C8-C5-D6; C8-C5-D7; C8-C5-D8; C8-C5-D9; C9-C5-D1; C9-C5-D2; C9-C5-D3; C9-C5-D4; C9-C5-D5; C9-C5-D6; C9-C5-D7; C9-C5-D8; C9-C5-D9; C1-C6-D1; C1-C6-D2; C1-C6-D3; C1-C6-D4; C1-C6-D5; C1-C6-D6; C1-C6-D7; C1-C6-D8; C1-C6-D9; C2-C6-D1; C2-C6-D2; C2-C6-D3; C2-C6-D4; C2-C6-D5; C2-C6-D6; C2-C6-D7; C2-C6-D8; C2-C6-D9; C3-C6-D1; C3-C6-D2; C3-C6-D3; C3-C6-D4; C3-C6-D5; C3-C6-D6; C3-C6-D7; C3-C6-D8; C3-C6-D9; C4-C6-D1; C4-C6-D2; C4-C6-D3; C4-C6-D4; C4-C6-D5; C4-C6-D6; C4-C6-D7; C4-C6-D8; C4-C6-D9; C5-C6-D1; C5-C6-D2; C5-C6-D3; C5-C6-D4; C5-C6-D5; C5-C6-D6; C5-C6-D7; C5-C6-D8; C5-C6-D9; C6-C6-D1; C6-C6-D2; C6-C6-D3; C6-C6-D4; C6-C6-D5; C6-C6-D6; C6-C6-D7; C6-C6-D8; C6-C6-D9; C7-C6-D1; C7-C6-D2; C7-C6-D3; C7-C6-D4; C7-C6-D5; C7-C6-D6; C7-C6-D7; C7-C6-D8; C7-C6-D9; C8-C6-D1; C8-C6-D2; C8-C6-D3; C8-C6-D4; C8-C6-D5; C8-C6-D6; C8-C6-D7; C8-C6-D8; C8-C6-D9; C9-C6-D1; C9-C6-D2; C9-C6-D3; C9-C6-D4; C9-C6-D5; C9-C6-D6; C9-C6-D7; C9-C6-D8; C9-C6-D9; C1-C7-D1; C1-C7-D2; C1-C7-D3; C1-C7-D4; C1-C7-D5; C1-C7-D6; C1-C7-D7; C1-C7-D8; C1-C7-D9; C2-C7-D1; C2-C7-D2; C2-C7-D3; C2-C7-D4; C2-C7-D5; C2-C7-D6; C2-C7-D7; C2-C7-D8; C2-C7-D9; C3-C7-D1; C3-C7-D2; C3-C7-D3; C3-C7-D4; C3-C7-D5; C3-C7-D6; C3-C7-D7; C3-C7-D8; C3-C7-D9; C4-C7-D1; C4-C7-D2; C4-C7-D3; C4-C7-D4; C4-C7-D5; C4-C7-D6; C4-C7-D7; C4-C7-D8; C4-C7-D9; C5-C7-D1; C5-C7-D2; C5-C7-D3; C5-C7-D4; C5-C7-D5; C5-C7-D6; C5-C7-D7; C5-C7-D8; C5-C7-D9; C6-C7-D1; C6-C7-D2; C6-C7-D3; C6-C7-D4; C6-C7-D5; C6-C7-D6; C6-C7-D7; C6-C7-D8; C6-C7-D9; C7-C7-D1; C7-C7-D2; C7-C7-D3; C7-C7-D4; C7-C7-D5; C7-C7-D6; C7-C7-D7; C7-C7-D8; C7-C7-D9; C8-C7-D1; C8-C7-D2; C8-C7-D3; C8-C7-D4; C8-C7-D5; C8-C7-D6; C8-C7-D7; C8-C7-D8; C8-C7-D9; C9-C7-D1; C9-C7-D2; C9-C7-D3; C9-C7-D4; C9-C7-D5; C9-C7-D6; C9-C7-D7; C9-C7-D8; C9-C7-D9; C1-C8-D1; C1-C8-D2; C1-C8-D3; C1-C8-D4; C1-C8-D5; C1-C8-D6; C1-C8-D7; C1-C8-D8; C1-C8-D9; C2-C8-D1; C2-C8-D2; C2-C8-D3; C2-C8-D4; C2-C8-D5; C2-C8-D6; C2-C8-D7; C2-C8-D8; C2-C8-D9; C3-C8-D1; C3-C8-D2; C3-C8-D3; C3-C8-D4; C3-C8-D5; C3-C8-D6; C3-C8-D7; C3-C8-D8; C3-C8-D9; C4-C8-D1; C4-C8-D2; C4-C8-D3; C4-C8-D4; C4-C8-D5; C4-C8-D6; C4-C8-D7; C4-C8-D8; C4-C8-D9; C5-C8-D1; C5-C8-D2; C5-C8-D3; C5-C8-D4; C5-C8-D5; C5-C8-D6; C5-C8-D7; C5-C8-D8; C5-C8-D9; C6-C8-D1; C6-C8-D2; C6-C8-D3; C6-C8-D4; C6-C8-D5; C6-C8-D6; C6-C8-D7; C6-C8-D8; C6-C8-D9; C7-C8-D1; C7-C8-D2; C7-C8-D3; C7-C8-D4; C7-C8-D5; C7-C8-D6; C7-C8-D7; C7-C8-D8; C7-C8-D9; C8-C8-D1; C8-C8-D2; C8-C8-D3; C8-C8-D4; C8-C8-D5; C8-C8-D6; C8-C8-D7; C8-C8-D8; C8-C8-D9; C9-C8-D1; C9-C8-D2; C9-C8-D3; C9-C8-D4; C9-C8-D5; C9-C8-D6; C9-C8-D7; C9-C8-D8; C9-C8-D9; C1-C9-D1; C1-C9-D2; C1-C9-D3; C1-C9-D4; C1-C9-D5; C1-C9-D6; C1-C9-D7; C1-C9-D8; C1-C9-D9; C2-C9-D1; C2-C9-D2; C2-C9-D3; C2-C9-D4; C2-C9-D5; C2-C9-D6; C2-C9-D7; C2-C9-D8; C2-C9-D9; C3-C9-D1; C3-C9-D2; C3-C9-D3; C3-C9-D4; C3-C9-D5; C3-C9-D6; C3-C9-D7; C3-C9-D8; C3-C9-D9; C4-C9-D1; C4-C9-D2; C4-C9-D3; C4-C9-D4; C4-C9-D5; C4-C9-D6; C4-C9-D7; C4-C9-D8; C4-C9-D9; C5-C9-D1; C5-C9-D2; C5-C9-D3; C5-C9-D4; C5-C9-D5; C5-C9-D6; C5-C9-D7; C5-C9-D8; C5-C9-D9; C6-C9-D1; C6-C9-D2; C6-C9-D3; C6-C9-D4; C6-C9-D5; C6-C9-D6; C6-C9-D7; C6-C9-D8; C6-C9-D9; C7-C9-D1; C7-C9-D2; C7-C9-D3; C7-C9-D4; C7-C9-D5; C7-C9-D6; C7-C9-D7; C7-C9-D8; C7-C9-D9; C8-C9-D1; C8-C9-D2; C8-C9-D3; C8-C9-D4; C8-C9-D5; C8-C9-D6; C8-C9-D7; C8-C9-D8; C8-C9-D9; C9-C9-D1; C9-C9-D2; C9-C9-D3; C9-C9-D4; C9-C9-D5; C9-C9-D6; C9-C9-D7; C9-C9-D8; C9-C9-D9; M1-C1-D1; M1-C1-D2; M1-C1-D3; M1-C1-D4; M1-C1-D5; M1-C1-D6; M1-C1-D7; M1-C1-D8; M1-C1-D9; M1-C2-D1; M1-C2-D2; M1-C2-D3; M1-C2-D4; M1-C2-D5; M1-C2-D6; M1-C2-D7; M1-C2-D8; M1-C2-D9; M1-C3-D1; M1-C3-D2; M1-C3-D3; M1-C3-D4; M1-C3-D5; M1-C3-D6; M1-C3-D7; M1-C3-D8; M1-C3-D9; M1-C4-D1; M1-C4-D2; M1-C4-D3; M1-C4-D4; M1-C4-D5; M1-C4-D6; M1-C4-D7; M1-C4-D8; M1-C4-D9; M1-C5-D1; M1-C5-D2; M1-C5-D3; M1-C5-D4; M1-C5-D5; M1-C5-D6; M1-C5-D7; M1-C5-D8; M1-C5-D9; M1-C6-D1; M1-C6-D2; M1-C6-D3; M1-C6-D4; M1-C6-D5; M1-C6-D6; M1-C6-D7; M1-C6-D8; M1-C6-D9; M1-C7-D1; M1-C7-D2; M1-C7-D3; M1-C7-D4; M1-C7-D5; M1-C7-D6; M1-C7-D7; M1-C7-D8; M1-C7-D9; M1-C8-D1; M1-C8-D2; M1-C8-D3; M1-C8-D4; M1-C8-D5; M1-C8-D6; M1-C8-D7; M1-C8-D8; M1-C8-D9; M1-C9-D1; M1-C9-D2; M1-C9-D3; M1-C9-D4; M1-C9-D5; M1-C9-D6; M1-C9-D7; M1-C9-D8; M1-C9-D9; M2-C1-D1; M2-C1-D2; M2-C1-D3; M2-C1-D4; M2-C1-D5; M2-C1-D6; M2-C1-D7; M2-C1-D8; M2-C1-D9; M2-C2-D1; M2-C2-D2; M2-C2-D3; M2-C2-D4; M2-C2-D5; M2-C2-D6; M2-C2-D7; M2-C2-D8; M2-C2-D9; M2-C3-D1; M2-C3-D2; M2-C3-D3; M2-C3-D4; M2-C3-D5; M2-C3-D6; M2-C3-D7; M2-C3-D8; M2-C3-D9; M2-C4-D1; M2-C4-D2; M2-C4-D3; M2-C4-D4; M2-C4-D5; M2-C4-D6; M2-C4-D7; M2-C4-D8; M2-C4-D9; M2-C5-D1; M2-C5-D2; M2-C5-D3; M2-C5-D4; M2-C5-D5; M2-C5-D6; M2-C5-D7; M2-C5-D8; M2-C5-D9; M2-C6-D1; M2-C6-D2; M2-C6-D3; M2-C6-D4; M2-C6-D5; M2-C6-D6; M2-C6-D7; M2-C6-D8; M2-C6-D9; M2-C7-D1; M2-C7-D2; M2-C7-D3; M2-C7-D4; M2-C7-D5; M2-C7-D6; M2-C7-D7; M2-C7-D8; M2-C7-D9; M2-C8-D1; M2-C8-D2; M2-C8-D3; M2-C8-D4; M2-C8-D5; M2-C8-D6; M2-C8-D7; M2-C8-D8; M2-C8-D9; M2-C9-D1; M2-C9-D2; M2-C9-D3; M2-C9-D4; M2-C9-D5; M2-C9-D6; M2-C9-D7; M2-C9-D8; M2-C9-D9; M3-C1-D1; M3-C1-D2; M3-C1-D3; M3-C1-D4; M3-C1-D5; M3-C1-D6; M3-C1-D7; M3-C1-D8; M3-C1-D9; M3-C2-D1; M3-C2-D2; M3-C2-D3; M3-C2-D4; M3-C2-D5; M3-C2-D6; M3-C2-D7; M3-C2-D8; M3-C2-D9; M3-C3-D1; M3-C3-D2; M3-C3-D3; M3-C3-D4; M3-C3-D5; M3-C3-D6; M3-C3-D7; M3-C3-D8; M3-C3-D9; M3-C4-D1; M3-C4-D2; M3-C4-D3; M3-C4-D4; M3-C4-D5; M3-C4-D6; M3-C4-D7; M3-C4-D8; M3-C4-D9; M3-C5-D1; M3-C5-D2; M3-C5-D3; M3-C5-D4; M3-C5-D5; M3-C5-D6; M3-C5-D7; M3-C5-D8; M3-C5-D9; M3-C6-D1; M3-C6-D2; M3-C6-D3; M3-C6-D4; M3-C6-D5; M3-C6-D6; M3-C6-D7; M3-C6-D8; M3-C6-D9; M3-C7-D1; M3-C7-D2; M3-C7-D3; M3-C7-D4; M3-C7-D5; M3-C7-D6; M3-C7-D7; M3-C7-D8; M3-C7-D9; M3-C8-D1; M3-C8-D2; M3-C8-D3; M3-C8-D4; M3-C8-D5; M3-C8-D6; M3-C8-D7; M3-C8-D8; M3-C8-D9; M3-C9-D1; M3-C9-D2; M3-C9-D3; M3-C9-D4; M3-C9-D5; M3-C9-D6; M3-C9-D7; M3-C9-D8; M3-C9-D9; M4-C1-D1; M4-C1-D2; M4-C1-D3; M4-C1-D4; M4-C1-D5; M4-C1-D6; M4-C1-D7; M4-C1-D8; M4-C1-D9; M4-C2-D1; M4-C2-D2; M4-C2-D3; M4-C2-D4; M4-C2-D5; M4-C2-D6; M4-C2-D7; M4-C2-D8; M4-C2-D9; M4-C3-D1; M4-C3-D2; M4-C3-D3; M4-C3-D4; M4-C3-D5; M4-C3-D6; M4-C3-D7; M4-C3-D8; M4-C3-D9; M4-C4-D1; M4-C4-D2; M4-C4-D3; M4-C4-D4; M4-C4-D5; M4-C4-D6; M4-C4-D7; M4-C4-D8; M4-C4-D9; M4-C5-D1; M4-C5-D2; M4-C5-D3; M4-C5-D4; M4-C5-D5; M4-C5-D6; M4-C5-D7; M4-C5-D8; M4-C5-D9; M4-C6-D1; M4-C6-D2; M4-C6-D3; M4-C6-D4; M4-C6-D5; M4-C6-D6; M4-C6-D7; M4-C6-D8; M4-C6-D9; M4-C7-D1; M4-C7-D2; M4-C7-D3; M4-C7-D4; M4-C7-D5; M4-C7-D6; M4-C7-D7; M4-C7-D8; M4-C7-D9; M4-C8-D1; M4-C8-D2; M4-C8-D3; M4-C8-D4; M4-C8-D5; M4-C8-D6; M4-C8-D7; M4-C8-D8; M4-C8-D9; M4-C9-D1; M4-C9-D2; M4-C9-D3; M4-C9-D4; M4-C9-D5; M4-C9-D6; M4-C9-D7; M4-C9-D8; M4-C9-D9; M5-C1-D1; M5-C1-D2; M5-C1-D3; M5-C1-D4; M5-C1-D5; M5-C1-D6; M5-C1-D7; M5-C1-D8; M5-C1-D9; M5-C2-D1; M5-C2-D2; M5-C2-D3; M5-C2-D4; M5-C2-D5; M5-C2-D6; M5-C2-D7; M5-C2-D8; M5-C2-D9; M5-C3-D1; M5-C3-D2; M5-C3-D3; M5-C3-D4; M5-C3-D5; M5-C3-D6; M5-C3-D7; M5-C3-D8; M5-C3-D9; M5-C4-D1; M5-C4-D2; M5-C4-D3; M5-C4-D4; M5-C4-D5; M5-C4-D6; M5-C4-D7; M5-C4-D8; M5-C4-D9; M5-C5-D1; M5-C5-D2; M5-C5-D3; M5-C5-D4; M5-C5-D5; M5-C5-D6; M5-C5-D7; M5-C5-D8; M5-C5-D9; M5-C6-D1; M5-C6-D2; M5-C6-D3; M5-C6-D4; M5-C6-D5; M5-C6-D6; M5-C6-D7; M5-C6-D8; M5-C6-D9; M5-C7-D1; M5-C7-D2; M5-C7-D3; M5-C7-D4; M5-C7-D5; M5-C7-D6; M5-C7-D7; M5-C7-D8; M5-C7-D9; M5-C8-D1; M5-C8-D2; M5-C8-D3; M5-C8-D4; M5-C8-D5; M5-C8-D6; M5-C8-D7; M5-C8-D8; M5-C8-D9; M5-C9-D1; M5-C9-D2; M5-C9-D3; M5-C9-D4; M5-C9-D5; M5-C9-D6; M5-C9-D7; M5-C9-D8; M5-C9-D9; C1-C1-D1; C1-C1-D2; C1-C1-D3; C1-C1-D4; C1-C1-D5; C1-C1-D6; C1-C1-D7; C1-C1-D8; C1-C1-D9; C1-C2-D1; C1-C2-D2; C1-C2-D3; C1-C2-D4; C1-C2-D5; C1-C2-D6; C1-C2-D7; C1-C2-D8; C1-C2-D9; C1-C3-D1; C1-C3-D2; C1-C3-D3; C1-C3-D4; C1-C3-D5; C1-C3-D6; C1-C3-D7; C1-C3-D8; C1-C3-D9; C1-C4-D1; C1-C4-D2; C1-C4-D3; C1-C4-D4; C1-C4-D5; C1-C4-D6; C1-C4-D7; C1-C4-D8; C1-C4-D9; C1-C5-D1; C1-C5-D2; C1-C5-D3; C1-C5-D4; C1-C5-D5; C1-C5-D6; C1-C5-D7; C1-C5-D8; C1-C5-D9; C1-C6-D1; C1-C6-D2; C1-C6-D3; C1-C6-D4; C1-C6-D5; C1-C6-D6; C1-C6-D7; C1-C6-D8; C1-C6-D9; C1-C7-D1; C1-C7-D2; C1-C7-D3; C1-C7-D4; C1-C7-D5; C1-C7-D6; C1-C7-D7; C1-C7-D8; C1-C7-D9; C1-C8-D1; C1-C8-D2; C1-C8-D3; C1-C8-D4; C1-C8-D5; C1-C8-D6; C1-C8-D7; C1-C8-D8; C1-C8-D9; C1-C9-D1; C1-C9-D2; C1-C9-D3; C1-C9-D4; C1-C9-D5; C1-C9-D6; C1-C9-D7; C1-C9-D8; C1-C9-D9; C2-C1-D1; C2-C1-D2; C2-C1-D3; C2-C1-D4; C2-C1-D5; C2-C1-D6; C2-C1-D7; C2-C1-D8; C2-C1-D9; C2-C2-D1; C2-C2-D2; C2-C2-D3; C2-C2-D4; C2-C2-D5; C2-C2-D6; C2-C2-D7; C2-C2-D8; C2-C2-D9; C2-C3-D1; C2-C3-D2; C2-C3-D3; C2-C3-D4; C2-C3-D5; C2-C3-D6; C2-C3-D7; C2-C3-D8; C2-C3-D9; C2-C4-D1; C2-C4-D2; C2-C4-D3; C2-C4-D4; C2-C4-D5; C2-C4-D6; C2-C4-D7; C2-C4-D8; C2-C4-D9; C2-C5-D1; C2-C5-D2; C2-C5-D3; C2-C5-D4; C2-C5-D5; C2-C5-D6; C2-C5-D7; C2-C5-D8; C2-C5-D9; C2-C6-D1; C2-C6-D2; C2-C6-D3; C2-C6-D4; C2-C6-D5; C2-C6-D6; C2-C6-D7; C2-C6-D8; C2-C6-D9; C2-C7-D1; C2-C7-D2; C2-C7-D3; C2-C7-D4; C2-C7-D5; C2-C7-D6; C2-C7-D7; C2-C7-D8; C2-C7-D9; C2-C8-D1; C2-C8-D2; C2-C8-D3; C2-C8-D4; C2-C8-D5; C2-C8-D6; C2-C8-D7; C2-C8-D8; C2-C8-D9; C2-C9-D1; C2-C9-D2; C2-C9-D3; C2-C9-D4; C2-C9-D5; C2-C9-D6; C2-C9-D7; C2-C9-D8; C2-C9-D9; C3-C1-D1; C3-C1-D2; C3-C1-D3; C3-C1-D4; C3-C1-D5; C3-C1-D6; C3-C1-D7; C3-C1-D8; C3-C1-D9; C3-C2-D1; C3-C2-D2; C3-C2-D3; C3-C2-D4; C3-C2-D5; C3-C2-D6; C3-C2-D7; C3-C2-D8; C3-C2-D9; C3-C3-D1; C3-C3-D2; C3-C3-D3; C3-C3-D4; C3-C3-D5; C3-C3-D6; C3-C3-D7; C3-C3-D8; C3-C3-D9; C3-C4-D1; C3-C4-D2; C3-C4-D3; C3-C4-D4; C3-C4-D5; C3-C4-D6; C3-C4-D7; C3-C4-D8; C3-C4-D9; C3-C5-D1; C3-C5-D2; C3-C5-D3; C3-C5-D4; C3-C5-D5; C3-C5-D6; C3-C5-D7; C3-C5-D8; C3-C5-D9; C3-C6-D1; C3-C6-D2; C3-C6-D3; C3-C6-D4; C3-C6-D5; C3-C6-D6; C3-C6-D7; C3-C6-D8; C3-C6-D9; C3-C7-D1; C3-C7-D2; C3-C7-D3; C3-C7-D4; C3-C7-D5; C3-C7-D6; C3-C7-D7; C3-C7-D8; C3-C7-D9; C3-C8-D1; C3-C8-D2; C3-C8-D3; C3-C8-D4; C3-C8-D5; C3-C8-D6; C3-C8-D7; C3-C8-D8; C3-C8-D9; C3-C9-D1; C3-C9-D2; C3-C9-D3; C3-C9-D4; C3-C9-D5; C3-C9-D6; C3-C9-D7; C3-C9-D8; C3-C9-D9; C4-C1-D1; C4-C1-D2; C4-C1-D3; C4-C1-D4; C4-C1-D5; C4-C1-D6; C4-C1-D7; C4-C1-D8; C4-C1-D9; C4-C2-D1; C4-C2-D2; C4-C2-D3; C4-C2-D4; C4-C2-D5; C4-C2-D6; C4-C2-D7; C4-C2-D8; C4-C2-D9; C4-C3-D1; C4-C3-D2; C4-C3-D3; C4-C3-D4; C4-C3-D5; C4-C3-D6; C4-C3-D7; C4-C3-D8; C4-C3-D9; C4-C4-D1; C4-C4-D2; C4-C4-D3; C4-C4-D4; C4-C4-D5; C4-C4-D6; C4-C4-D7; C4-C4-D8; C4-C4-D9; C4-C5-D1; C4-C5-D2; C4-C5-D3; C4-C5-D4; C4-C5-D5; C4-C5-D6; C4-C5-D7; C4-C5-D8; C4-C5-D9; C4-C6-D1; C4-C6-D2; C4-C6-D3; C4-C6-D4; C4-C6-D5; C4-C6-D6; C4-C6-D7; C4-C6-D8; C4-C6-D9; C4-C7-D1; C4-C7-D2; C4-C7-D3; C4-C7-D4; C4-C7-D5; C4-C7-D6; C4-C7-D7; C4-C7-D8; C4-C7-D9; C4-C8-D1; C4-C8-D2; C4-C8-D3; C4-C8-D4; C4-C8-D5; C4-C8-D6; C4-C8-D7; C4-C8-D8; C4-C8-D9; C4-C9-D1; C4-C9-D2; C4-C9-D3; C4-C9-D4; C4-C9-D5; C4-C9-D6; C4-C9-D7; C4-C9-D8; C4-C9-D9; C5-C1-D1; C5-C1-D2; C5-C1-D3; C5-C1-D4; C5-C1-D5; C5-C1-D6; C5-C1-D7; C5-C1-D8; C5-C1-D9; C5-C2-D1; C5-C2-D2; C5-C2-D3; C5-C2-D4; C5-C2-D5; C5-C2-D6; C5-C2-D7; C5-C2-D8; C5-C2-D9; C5-C3-D1; C5-C3-D2; C5-C3-D3; C5-C3-D4; C5-C3-D5; C5-C3-D6; C5-C3-D7; C5-C3-D8; C5-C3-D9; C5-C4-D1; C5-C4-D2; C5-C4-D3; C5-C4-D4; C5-C4-D5; C5-C4-D6; C5-C4-D7; C5-C4-D8; C5-C4-D9; C5-C5-D1; C5-C5-D2; C5-C5-D3; C5-C5-D4; C5-C5-D5; C5-C5-D6; C5-C5-D7; C5-C5-D8; C5-C5-D9; C5-C6-D1; C5-C6-D2; C5-C6-D3; C5-C6-D4; C5-C6-D5; C5-C6-D6; C5-C6-D7; C5-C6-D8; C5-C6-D9; C5-C7-D1; C5-C7-D2; C5-C7-D3; C5-C7-D4; C5-C7-D5; C5-C7-D6; C5-C7-D7; C5-C7-D8; C5-C7-D9; C5-C8-D1; C5-C8-D2; C5-C8-D3; C5-C8-D4; C5-C8-D5; C5-C8-D6; C5-C8-D7; C5-C8-D8; C5-C8-D9; C5-C9-D1; C5-C9-D2; C5-C9-D3; C5-C9-D4; C5-C9-D5; C5-C9-D6; C5-C9-D7; C5-C9-D8; C5-C9-D9; C6-C1-D1; C6-C1-D2; C6-C1-D3; C6-C1-D4; C6-C1-D5; C6-C1-D6; C6-C1-D7; C6-C1-D8; C6-C1-D9; C6-C2-D1; C6-C2-D2; C6-C2-D3; C6-C2-D4; C6-C2-D5; C6-C2-D6; C6-C2-D7; C6-C2-D8; C6-C2-D9; C6-C3-D1; C6-C3-D2; C6-C3-D3; C6-C3-D4; C6-C3-D5; C6-C3-D6; C6-C3-D7; C6-C3-D8; C6-C3-D9; C6-C4-D1; C6-C4-D2; C6-C4-D3; C6-C4-D4; C6-C4-D5; C6-C4-D6; C6-C4-D7; C6-C4-D8; C6-C4-D9; C6-C5-D1; C6-C5-D2; C6-C5-D3; C6-C5-D4; C6-C5-D5; C6-C5-D6; C6-C5-D7; C6-C5-D8; C6-C5-D9; C6-C6-D1; C6-C6-D2; C6-C6-D3; C6-C6-D4; C6-C6-D5; C6-C6-D6; C6-C6-D7; C6-C6-D8; C6-C6-D9; C6-C7-D1; C6-C7-D2; C6-C7-D3; C6-C7-D4; C6-C7-D5; C6-C7-D6; C6-C7-D7; C6-C7-D8; C6-C7-D9; C6-C8-D1; C6-C8-D2; C6-C8-D3; C6-C8-D4; C6-C8-D5; C6-C8-D6; C6-C8-D7; C6-C8-D8; C6-C8-D9; C6-C9-D1; C6-C9-D2; C6-C9-D3; C6-C9-D4; C6-C9-D5; C6-C9-D6; C6-C9-D7; C6-C9-D8; C6-C9-D9; C7-C1-D1; C7-C1-D2; C7-C1-D3; C7-C1-D4; C7-C1-D5; C7-C1-D6; C7-C1-D7; C7-C1-D8; C7-C1-D9; C7-C2-D1; C7-C2-D2; C7-C2-D3; C7-C2-D4; C7-C2-D5; C7-C2-D6; C7-C2-D7; C7-C2-D8; C7-C2-D9; C7-C3-D1; C7-C3-D2; C7-C3-D3; C7-C3-D4; C7-C3-D5; C7-C3-D6; C7-C3-D7; C7-C3-D8; C7-C3-D9; C7-C4-D1; C7-C4-D2; C7-C4-D3; C7-C4-D4; C7-C4-D5; C7-C4-D6; C7-C4-D7; C7-C4-D8; C7-C4-D9; C7-C5-D1; C7-C5-D2; C7-C5-D3; C7-C5-D4; C7-C5-D5; C7-C5-D6; C7-C5-D7; C7-C5-D8; C7-C5-D9; C7-C6-D1; C7-C6-D2; C7-C6-D3; C7-C6-D4; C7-C6-D5; C7-C6-D6; C7-C6-D7; C7-C6-D8; C7-C6-D9; C7-C7-D1; C7-C7-D2; C7-C7-D3; C7-C7-D4; C7-C7-D5; C7-C7-D6; C7-C7-D7; C7-C7-D8; C7-C7-D9; C7-C8-D1; C7-C8-D2; C7-C8-D3; C7-C8-D4; C7-C8-D5; C7-C8-D6; C7-C8-D7; C7-C8-D8; C7-C8-D9; C7-C9-D1; C7-C9-D2; C7-C9-D3; C7-C9-D4; C7-C9-D5; C7-C9-D6; C7-C9-D7; C7-C9-D8; C7-C9-D9; C8-C1-D1; C8-C1-D2; C8-C1-D3; C8-C1-D4; C8-C1-D5; C8-C1-D6; C8-C1-D7; C8-C1-D8; C8-C1-D9; C8-C2-D1; C8-C2-D2; C8-C2-D3; C8-C2-D4; C8-C2-D5; C8-C2-D6; C8-C2-D7; C8-C2-D8; C8-C2-D9; C8-C3-D1; C8-C3-D2; C8-C3-D3; C8-C3-D4; C8-C3-D5; C8-C3-D6; C8-C3-D7; C8-C3-D8; C8-C3-D9; C8-C4-D1; C8-C4-D2; C8-C4-D3; C8-C4-D4; C8-C4-D5; C8-C4-D6; C8-C4-D7; C8-C4-D8; C8-C4-D9; C8-C5-D1; C8-C5-D2; C8-C5-D3; C8-C5-D4; C8-C5-D5; C8-C5-D6; C8-C5-D7; C8-C5-D8; C8-C5-D9; C8-C6-D1; C8-C6-D2; C8-C6-D3; C8-C6-D4; C8-C6-D5; C8-C6-D6; C8-C6-D7; C8-C6-D8; C8-C6-D9; C8-C7-D1; C8-C7-D2; C8-C7-D3; C8-C7-D4; C8-C7-D5; C8-C7-D6; C8-C7-D7; C8-C7-D8; C8-C7-D9; C8-C8-D1; C8-C8-D2; C8-C8-D3; C8-C8-D4; C8-C8-D5; C8-C8-D6; C8-C8-D7; C8-C8-D8; C8-C8-D9; C8-C9-D1; C8-C9-D2; C8-C9-D3; C8-C9-D4; C8-C9-D5; C8-C9-D6; C8-C9-D7; C8-C9-D8; C8-C9-D9; C9-C1-D1; C9-C1-D2; C9-C1-D3; C9-C1-D4; C9-C1-D5; C9-C1-D6; C9-C1-D7; C9-C1-D8; C9-C1-D9; C9-C2-D1; C9-C2-D2; C9-C2-D3; C9-C2-D4; C9-C2-D5; C9-C2-D6; C9-C2-D7; C9-C2-D8; C9-C2-D9; C9-C3-D1; C9-C3-D2; C9-C3-D3; C9-C3-D4; C9-C3-D5; C9-C3-D6; C9-C3-D7; C9-C3-D8; C9-C3-D9; C9-C4-D1; C9-C4-D2; C9-C4-D3; C9-C4-D4; C9-C4-D5; C9-C4-D6; C9-C4-D7; C9-C4-D8; C9-C4-D9; C9-C5-D1; C9-C5-D2; C9-C5-D3; C9-C5-D4; C9-C5-D5; C9-C5-D6; C9-C5-D7; C9-C5-D8; C9-C5-D9; C9-C6-D1; C9-C6-D2; C9-C6-D3; C9-C6-D4; C9-C6-D5; C9-C6-D6; C9-C6-D7; C9-C6-D8; C9-C6-D9; C9-C7-D1; C9-C7-D2; C9-C7-D3; C9-C7-D4; C9-C7-D5; C9-C7-D6; C9-C7-D7; C9-C7-D8; C9-C7-D9; C9-C8-D1; C9-C8-D2; C9-C8-D3; C9-C8-D4; C9-C8-D5; C9-C8-D6; C9-C8-D7; C9-C8-D8; C9-C8-D9; C9-C9-D1; C9-C9-D2; C9-C9-D3; C9-C9-D4; C9-C9-D5; C9-C9-D6; C9-C9-D7; C9-C9-D8; C9-C9-D9.
As can be understood from the above-mentioned list, in the first 1134 arrangements, the driver machine is positioned in the first position along the shaft line, thus i=1, the first compressor is positioned in the second position, thus j=2, and the auxiliary machine or further compressor is positioned in the third position, thus k=3.
In the subsequent 1134 arrangements, the driver machine is positioned in the first position, thus i=1, the first compressor is positioned in the third position, thus j=3, and the auxiliary machine or further compressor is positioned in the second position, thus k=2.
In the subsequent 1134 arrangements, the driver machine is positioned in the second position, thus i=2, the first compressor is positioned in the first position, thus j=1, and the auxiliary machine or further compressor is positioned in the third position, thus k=3.
In the subsequent 1134 arrangements, the driver machine is positioned in the second position, thus i=2, the first compressor is positioned in the third position, thus j=3, and the auxiliary machine or further compressor is positioned in the first position, thus k=1.
In the subsequent 1134 arrangements, the driver machine is positioned in the third position, thus i=3, the first compressor is positioned in the first position, thus j=1, and the auxiliary machine or further compressor is positioned in the second position, thus k=2.
In the last 1134 arrangements, the driver machine is positioned in the third position, thus i=3, the first compressor is positioned in the second position, thus j=2, and the auxiliary machine or further compressor is positioned in the first position, thus k=1.
When “m=4” the method of generation uses the generating section 2004 of FIGS. 42A, 42B, 42C, 42D, 42E, and generates 244944 possible arrangements. Here-below are listed only the first 800 arrangements and the last 800 arrangements. All other arrangements can be easily obtained by the skilled in the art using the method of generation described above and looking at the flow-chart of FIGS. 42A, 42B, 42C, 42D, 42E.
The first 800 arrangements are:
D1-C1-M1-C1; D2-C1-M1-C1; D3-C1-M1-C1; D4-C1-M1-C1; D5-C1-M1-C1; D6-C1-M1-C1; D7-C1-M1-C1; D8-C1-M1-C1; D9-C1-M1-C1; D1-C2-M1-C1; D2-C2-M1-C1; D3-C2-M1-C1; D4-C2-M1-C1; D5-C2-M1-C1; D6-C2-M1-C1; D7-C2-M1-C1; D8-C2-M1-C1; D9-C2-M1-C1; D1-C3-M1-C1; D2-C3-M1-C1; D3-C3-M1-C1; D4-C3-M1-C1; D5-C3-M1-C1; D6-C3-M1-C1; D7-C3-M1-C1; D8-C3-M1-C1; D9-C3-M1-C1; D1-C4-M1-C1; D2-C4-M1-C1; D3-C4-M1-C1; D4-C4-M1-C1; D5-C4-M1-C1; D6-C4-M1-C1; D7-C4-M1-C1; D8-C4-M1-C1; D9-C4-M1-C1; D1-C5-M1-C1; D2-C5-M1-C1; D3-C5-M1-C1; D4-C5-M1-C1; D5-C5-M1-C1; D6-C5-M1-C1; D7-C5-M1-C1; D8-C5-M1-C1; D9-C5-M1-C1; D1-C6-M1-C1; D2-C6-M1-C1; D3-C6-M1-C1; D4-C6-M1-C1; D5-C6-M1-C1; D6-C6-M1-C1; D7-C6-M1-C1; D8-C6-M1-C1; D9-C6-M1-C1; D1-C7-M1-C1; D2-C7-M1-C1; D3-C7-M1-C1; D4-C7-M1-C1; D5-C7-M1-C1; D6-C7-M1-C1; D7-C7-M1-C1; D8-C7-M1-C1; D9-C7-M1-C1; D1-C8-M1-C1; D2-C8-M1-C1; D3-C8-M1-C1; D4-C8-M1-C1; D5-C8-M1-C1; D6-C8-M1-C1; D7-C8-M1-C1; D8-C8-M1-C1; D9-C8-M1-C1; D1-C9-M1-C1; D2-C9-M1-C1; D3-C9-M1-C1; D4-C9-M1-C1; D5-C9-M1-C1; D6-C9-M1-C1; D7-C9-M1-C1; D8-C9-M1-C1; D9-C9-M1-C1; D1-C1-M1-C2; D2-C1-M1-C2; D3-C1-M1-C2; D4-C1-M1-C2; D5-C1-M1-C2; D6-C1-M1-C2; D7-C1-M1-C2; D8-C1-M1-C2; D9-C1-M1-C2; D1-C2-M1-C2; D2-C2-M1-C2; D3-C2-M1-C2; D4-C2-M1-C2; D5-C2-M1-C2; D6-C2-M1-C2; D7-C2-M1-C2; D8-C2-M1-C2; D9-C2-M1-C2; D1-C3-M1-C2; D2-C3-M1-C2; D3-C3-M1-C2; D4-C3-M1-C2; D5-C3-M1-C2; D6-C3-M1-C2; D7-C3-M1-C2; D8-C3-M1-C2; D9-C3-M1-C2; D1-C4-M1-C2; D2-C4-M1-C2; D3-C4-M1-C2; D4-C4-M1-C2; D5-C4-M1-C2; D6-C4-M1-C2; D7-C4-M1-C2; D8-C4-M1-C2; D9-C4-M1-C2; D1-C5-M1-C2; D2-C5-M1-C2; D3-C5-M1-C2; D4-C5-M1-C2; D5-C5-M1-C2; D6-C5-M1-C2; D7-C5-M1-C2; D8-C5-M1-C2; D9-C5-M1-C2; D1-C6-M1-C2; D2-C6-M1-C2; D3-C6-M1-C2; D4-C6-M1-C2; D5-C6-M1-C2; D6-C6-M1-C2; D7-C6-M1-C2; D8-C6-M1-C2; D9-C6-M1-C2; D1-C7-M1-C2; D2-C7-M1-C2; D3-C7-M1-C2; D4-C7-M1-C2; D5-C7-M1-C2; D6-C7-M1-C2; D7-C7-M1-C2; D8-C7-M1-C2; D9-C7-M1-C2; D1-C8-M1-C2; D2-C8-M1-C2; D3-C8-M1-C2; D4-C8-M1-C2; D5-C8-M1-C2; D6-C8-M1-C2; D7-C8-M1-C2; D8-C8-M1-C2; D9-C8-M1-C2; D1-C9-M1-C2; D2-C9-M1-C2; D3-C9-M1-C2; D4-C9-M1-C2; D5-C9-M1-C2; D6-C9-M1-C2; D7-C9-M1-C2; D8-C9-M1-C2; D9-C9-M1-C2; D1-C1-M1-C3; D2-C1-M1-C3; D3-C1-M1-C3; D4-C1-M1-C3; D5-C1-M1-C3; D6-C1-M1-C3; D7-C1-M1-C3; D8-C1-M1-C3; D9-C1-M1-C3; D1-C2-M1-C3; D2-C2-M1-C3; D3-C2-M1-C3; D4-C2-M1-C3; D5-C2-M1-C3; D6-C2-M1-C3; D7-C2-M1-C3; D8-C2-M1-C3; D9-C2-M1-C3; D1-C3-M1-C3; D2-C3-M1-C3; D3-C3-M1-C3; D4-C3-M1-C3; D5-C3-M1-C3; D6-C3-M1-C3; D7-C3-M1-C3; D8-C3-M1-C3; D9-C3-M1-C3; D1-C4-M1-C3; D2-C4-M1-C3; D3-C4-M1-C3; D4-C4-M1-C3; D5-C4-M1-C3; D6-C4-M1-C3; D7-C4-M1-C3; D8-C4-M1-C3; D9-C4-M1-C3; D1-C5-M1-C3; D2-C5-M1-C3; D3-C5-M1-C3; D4-C5-M1-C3; D5-C5-M1-C3; D6-C5-M1-C3; D7-C5-M1-C3; D8-C5-M1-C3; D9-C5-M1-C3; D1-C6-M1-C3; D2-C6-M1-C3; D3-C6-M1-C3; D4-C6-M1-C3; D5-C6-M1-C3; D6-C6-M1-C3; D7-C6-M1-C3; D8-C6-M1-C3; D9-C6-M1-C3; D1-C7-M1-C3; D2-C7-M1-C3; D3-C7-M1-C3; D4-C7-M1-C3; D5-C7-M1-C3; D6-C7-M1-C3; D7-C7-M1-C3; D8-C7-M1-C3; D9-C7-M1-C3; D1-C8-M1-C3; D2-C8-M1-C3; D3-C8-M1-C3; D4-C8-M1-C3; D5-C8-M1-C3; D6-C8-M1-C3; D7-C8-M1-C3; D8-C8-M1-C3; D9-C8-M1-C3; D1-C9-M1-C3; D2-C9-M1-C3; D3-C9-M1-C3; D4-C9-M1-C3; D5-C9-M1-C3; D6-C9-M1-C3; D7-C9-M1-C3; D8-C9-M1-C3; D9-C9-M1-C3; D1-C1-M1-C4; D2-C1-M1-C4; D3-C1-M1-C4; D4-C1-M1-C4; D5-C1-M1-C4; D6-C1-M1-C4; D7-C1-M1-C4; D8-C1-M1-C4; D9-C1-M1-C4; D1-C2-M1-C4; D2-C2-M1-C4; D3-C2-M1-C4; D4-C2-M1-C4; D5-C2-M1-C4; D6-C2-M1-C4; D7-C2-M1-C4; D8-C2-M1-C4; D9-C2-M1-C4; D1-C3-M1-C4; D2-C3-M1-C4; D3-C3-M1-C4; D4-C3-M1-C4; D5-C3-M1-C4; D6-C3-M1-C4; D7-C3-M1-C4; D8-C3-M1-C4; D9-C3-M1-C4; D1-C4-M1-C4; D2-C4-M1-C4; D3-C4-M1-C4; D4-C4-M1-C4; D5-C4-M1-C4; D6-C4-M1-C4; D7-C4-M1-C4; D8-C4-M1-C4; D9-C4-M1-C4; D1-C5-M1-C4; D2-C5-M1-C4; D3-C5-M1-C4; D4-C5-M1-C4; D5-C5-M1-C4; D6-C5-M1-C4; D7-C5-M1-C4; D8-C5-M1-C4; D9-C5-M1-C4; D1-C6-M1-C4; D2-C6-M1-C4; D3-C6-M1-C4; D4-C6-M1-C4; D5-C6-M1-C4; D6-C6-M1-C4; D7-C6-M1-C4; D8-C6-M1-C4; D9-C6-M1-C4; D1-C7-M1-C4; D2-C7-M1-C4; D3-C7-M1-C4; D4-C7-M1-C4; D5-C7-M1-C4; D6-C7-M1-C4; D7-C7-M1-C4; D8-C7-M1-C4; D9-C7-M1-C4; D1-C8-M1-C4; D2-C8-M1-C4; D3-C8-M1-C4; D4-C8-M1-C4; D5-C8-M1-C4; D6-C8-M1-C4; D7-C8-M1-C4; D8-C8-M1-C4; D9-C8-M1-C4; D1-C9-M1-C4; D2-C9-M1-C4; D3-C9-M1-C4; D4-C9-M1-C4; D5-C9-M1-C4; D6-C9-M1-C4; D7-C9-M1-C4; D8-C9-M1-C4; D9-C9-M1-C4; D1-C1-M1-C5; D2-C1-M1-C5; D3-C1-M1-C5; D4-C1-M1-C5; D5-C1-M1-C5; D6-C1-M1-C5; D7-C1-M1-C5; D8-C1-M1-C5; D9-C1-M1-C5; D1-C2-M1-C5; D2-C2-M1-C5; D3-C2-M1-C5; D4-C2-M1-C5; D5-C2-M1-C5; D6-C2-M1-C5; D7-C2-M1-C5; D8-C2-M1-C5; D9-C2-M1-C5; D1-C3-M1-C5; D2-C3-M1-C5; D3-C3-M1-C5; D4-C3-M1-C5; D5-C3-M1-C5; D6-C3-M1-C5; D7-C3-M1-C5; D8-C3-M1-C5; D9-C3-M1-C5; D1-C4-M1-C5; D2-C4-M1-C5; D3-C4-M1-C5; D4-C4-M1-C5; D5-C4-M1-C5; D6-C4-M1-C5; D7-C4-M1-C5; D8-C4-M1-C5; D9-C4-M1-C5; D1-C5-M1-C5; D2-C5-M1-C5; D3-C5-M1-C5; D4-C5-M1-C5; D5-C5-M1-C5; D6-C5-M1-C5; D7-C5-M1-C5; D8-C5-M1-C5; D9-C5-M1-C5; D1-C6-M1-C5; D2-C6-M1-C5; D3-C6-M1-C5; D4-C6-M1-C5; D5-C6-M1-C5; D6-C6-M1-C5; D7-C6-M1-C5; D8-C6-M1-C5; D9-C6-M1-C5; D1-C7-M1-C5; D2-C7-M1-C5; D3-C7-M1-C5; D4-C7-M1-C5; D5-C7-M1-C5; D6-C7-M1-C5; D7-C7-M1-C5; D8-C7-M1-C5; D9-C7-M1-C5; D1-C8-M1-C5; D2-C8-M1-C5; D3-C8-M1-C5; D4-C8-M1-C5; D5-C8-M1-C5; D6-C8-M1-C5; D7-C8-M1-C5; D8-C8-M1-C5; D9-C8-M1-C5; D1-C9-M1-C5; D2-C9-M1-C5; D3-C9-M1-C5; D4-C9-M1-C5; D5-C9-M1-C5; D6-C9-M1-C5; D7-C9-M1-C5; D8-C9-M1-C5; D9-C9-M1-C5; D1-C1-M1-C6; D2-C1-M1-C6; D3-C1-M1-C6; D4-C1-M1-C6; D5-C1-M1-C6; D6-C1-M1-C6; D7-C1-M1-C6; D8-C1-M1-C6; D9-C1-M1-C6; D1-C2-M1-C6; D2-C2-M1-C6; D3-C2-M1-C6; D4-C2-M1-C6; D5-C2-M1-C6; D6-C2-M1-C6; D7-C2-M1-C6; D8-C2-M1-C6; D9-C2-M1-C6; D1-C3-M1-C6; D2-C3-M1-C6; D3-C3-M1-C6; D4-C3-M1-C6; D5-C3-M1-C6; D6-C3-M1-C6; D7-C3-M1-C6; D8-C3-M1-C6; D9-C3-M1-C6; D1-C4-M1-C6; D2-C4-M1-C6; D3-C4-M1-C6; D4-C4-M1-C6; D5-C4-M1-C6; D6-C4-M1-C6; D7-C4-M1-C6; D8-C4-M1-C6; D9-C4-M1-C6; D1-C5-M1-C6; D2-C5-M1-C6; D3-C5-M1-C6; D4-C5-M1-C6; D5-C5-M1-C6; D6-C5-M1-C6; D7-C5-M1-C6; D8-C5-M1-C6; D9-C5-M1-C6; D1-C6-M1-C6; D2-C6-M1-C6; D3-C6-M1-C6; D4-C6-M1-C6; D5-C6-M1-C6; D6-C6-M1-C6; D7-C6-M1-C6; D8-C6-M1-C6; D9-C6-M1-C6; D1-C7-M1-C6; D2-C7-M1-C6; D3-C7-M1-C6; D4-C7-M1-C6; D5-C7-M1-C6; D6-C7-M1-C6; D7-C7-M1-C6; D8-C7-M1-C6; D9-C7-M1-C6; D1-C8-M1-C6; D2-C8-M1-C6; D3-C8-M1-C6; D4-C8-M1-C6; D5-C8-M1-C6; D6-C8-M1-C6; D7-C8-M1-C6; D8-C8-M1-C6; D9-C8-M1-C6; D1-C9-M1-C6; D2-C9-M1-C6; D3-C9-M1-C6; D4-C9-M1-C6; D5-C9-M1-C6; D6-C9-M1-C6; D7-C9-M1-C6; D8-C9-M1-C6; D9-C9-M1-C6; D1-C1-M1-C7; D2-C1-M1-C7; D3-C1-M1-C7; D4-C1-M1-C7; D5-C1-M1-C7; D6-C1-M1-C7; D7-C1-M1-C7; D8-C1-M1-C7; D9-C1-M1-C7; D1-C2-M1-C7; D2-C2-M1-C7; D3-C2-M1-C7; D4-C2-M1-C7; D5-C2-M1-C7; D6-C2-M1-C7; D7-C2-M1-C7; D8-C2-M1-C7; D9-C2-M1-C7; D1-C3-M1-C7; D2-C3-M1-C7; D3-C3-M1-C7; D4-C3-M1-C7; D5-C3-M1-C7; D6-C3-M1-C7; D7-C3-M1-C7; D8-C3-M1-C7; D9-C3-M1-C7; D1-C4-M1-C7; D2-C4-M1-C7; D3-C4-M1-C7; D4-C4-M1-C7; D5-C4-M1-C7; D6-C4-M1-C7; D7-C4-M1-C7; D8-C4-M1-C7; D9-C4-M1-C7; D1-C5-M1-C7; D2-C5-M1-C7; D3-C5-M1-C7; D4-C5-M1-C7; D5-C5-M1-C7; D6-C5-M1-C7; D7-C5-M1-C7; D8-C5-M1-C7; D9-C5-M1-C7; D1-C6-M1-C7; D2-C6-M1-C7; D3-C6-M1-C7; D4-C6-M1-C7; D5-C6-M1-C7; D6-C6-M1-C7; D7-C6-M1-C7; D8-C6-M1-C7; D9-C6-M1-C7; D1-C7-M1-C7; D2-C7-M1-C7; D3-C7-M1-C7; D4-C7-M1-C7; D5-C7-M1-C7; D6-C7-M1-C7; D7-C7-M1-C7; D8-C7-M1-C7; D9-C7-M1-C7; D1-C8-M1-C7; D2-C8-M1-C7; D3-C8-M1-C7; D4-C8-M1-C7; D5-C8-M1-C7; D6-C8-M1-C7; D7-C8-M1-C7; D8-C8-M1-C7; D9-C8-M1-C7; D1-C9-M1-C7; D2-C9-M1-C7; D3-C9-M1-C7; D4-C9-M1-C7; D5-C9-M1-C7; D6-C9-M1-C7; D7-C9-M1-C7; D8-C9-M1-C7; D9-C9-M1-C7; D1-C1-M1-C8; D2-C1-M1-C8; D3-C1-M1-C8; D4-C1-M1-C8; D5-C1-M1-C8; D6-C1-M1-C8; D7-C1-M1-C8; D8-C1-M1-C8; D9-C1-M1-C8; D1-C2-M1-C8; D2-C2-M1-C8; D3-C2-M1-C8; D4-C2-M1-C8; D5-C2-M1-C8; D6-C2-M1-C8; D7-C2-M1-C8; D8-C2-M1-C8; D9-C2-M1-C8; D1-C3-M1-C8; D2-C3-M1-C8; D3-C3-M1-C8; D4-C3-M1-C8; D5-C3-M1-C8; D6-C3-M1-C8; D7-C3-M1-C8; D8-C3-M1-C8; D9-C3-M1-C8; D1-C4-M1-C8; D2-C4-M1-C8; D3-C4-M1-C8; D4-C4-M1-C8; D5-C4-M1-C8; D6-C4-M1-C8; D7-C4-M1-C8; D8-C4-M1-C8; D9-C4-M1-C8; D1-C5-M1-C8; D2-C5-M1-C8; D3-C5-M1-C8; D4-C5-M1-C8; D5-C5-M1-C8; D6-C5-M1-C8; D7-C5-M1-C8; D8-C5-M1-C8; D9-C5-M1-C8; D1-C6-M1-C8; D2-C6-M1-C8; D3-C6-M1-C8; D4-C6-M1-C8; D5-C6-M1-C8; D6-C6-M1-C8; D7-C6-M1-C8; D8-C6-M1-C8; D9-C6-M1-C8; D1-C7-M1-C8; D2-C7-M1-C8; D3-C7-M1-C8; D4-C7-M1-C8; D5-C7-M1-C8; D6-C7-M1-C8; D7-C7-M1-C8; D8-C7-M1-C8; D9-C7-M1-C8; D1-C8-M1-C8; D2-C8-M1-C8; D3-C8-M1-C8; D4-C8-M1-C8; D5-C8-M1-C8; D6-C8-M1-C8; D7-C8-M1-C8; D8-C8-M1-C8; D9-C8-M1-C8; D1-C9-M1-C8; D2-C9-M1-C8; D3-C9-M1-C8; D4-C9-M1-C8; D5-C9-M1-C8; D6-C9-M1-C8; D7-C9-M1-C8; D8-C9-M1-C8; D9-C9-M1-C8; D1-C1-M1-C9; D2-C1-M1-C9; D3-C1-M1-C9; D4-C1-M1-C9; D5-C1-M1-C9; D6-C1-M1-C9; D7-C1-M1-C9; D8-C1-M1-C9; D9-C1-M1-C9; D1-C2-M1-C9; D2-C2-M1-C9; D3-C2-M1-C9; D4-C2-M1-C9; D5-C2-M1-C9; D6-C2-M1-C9; D7-C2-M1-C9; D8-C2-M1-C9; D9-C2-M1-C9; D1-C3-M1-C9; D2-C3-M1-C9; D3-C3-M1-C9; D4-C3-M1-C9; D5-C3-M1-C9; D6-C3-M1-C9; D7-C3-M1-C9; D8-C3-M1-C9; D9-C3-M1-C9; D1-C4-M1-C9; D2-C4-M1-C9; D3-C4-M1-C9; D4-C4-M1-C9; D5-C4-M1-C9; D6-C4-M1-C9; D7-C4-M1-C9; D8-C4-M1-C9; D9-C4-M1-C9; D1-C5-M1-C9; D2-C5-M1-C9; D3-C5-M1-C9; D4-C5-M1-C9; D5-C5-M1-C9; D6-C5-M1-C9; D7-C5-M1-C9; D8-C5-M1-C9; D9-C5-M1-C9; D1-C6-M1-C9; D2-C6-M1-C9; D3-C6-M1-C9; D4-C6-M1-C9; D5-C6-M1-C9; D6-C6-M1-C9; D7-C6-M1-C9; D8-C6-M1-C9; D9-C6-M1-C9; D1-C7-M1-C9; D2-C7-M1-C9; D3-C7-M1-C9; D4-C7-M1-C9; D5-C7-M1-C9; D6-C7-M1-C9; D7-C7-M1-C9; D8-C7-M1-C9; D9-C7-M1-C9; D1-C8-M1-C9; D2-C8-M1-C9; D3-C8-M1-C9; D4-C8-M1-C9; D5-C8-M1-C9; D6-C8-M1-C9; D7-C8-M1-C9; D8-C8-M1-C9; D9-C8-M1-C9; D1-C9-M1-C9; D2-C9-M1-C9; D3-C9-M1-C9; D4-C9-M1-C9; D5-C9-M1-C9; D6-C9-M1-C9; D7-C9-M1-C9; D8-C9-M1-C9; D9-C9-M1-C9; D1-C1-M2-C1; D2-C1-M2-C1; D3-C1-M2-C1; D4-C1-M2-C1; D5-C1-M2-C1; D6-C1-M2-C1; D7-C1-M2-C1; D8-C1-M2-C1; D9-C1-M2-C1; D1-C2-M2-C1; D2-C2-M2-C1; D3-C2-M2-C1; D4-C2-M2-C1; D5-C2-M2-C1; D6-C2-M2-C1; D7-C2-M2-C1; D8-C2-M2-C1; D9-C2-M2-C1; D1-C3-M2-C1; D2-C3-M2-C1; D3-C3-M2-C1; D4-C3-M2-C1; D5-C3-M2-C1; D6-C3-M2-C1; D7-C3-M2-C1; D8-C3-M2-C1; D9-C3-M2-C1; D1-C4-M2-C1; D2-C4-M2-C1; D3-C4-M2-C1; D4-C4-M2-C1; D5-C4-M2-C1; D6-C4-M2-C1; D7-C4-M2-C1; D8-C4-M2-C1; D9-C4-M2-C1; D1-C5-M2-C1; D2-C5-M2-C1; D3-C5-M2-C1; D4-C5-M2-C1; D5-C5-M2-C1; D6-C5-M2-C1; D7-C5-M2-C1; D8-C5-M2-C1; D9-C5-M2-C1; D1-C6-M2-C1; D2-C6-M2-C1; D3-C6-M2-C1; D4-C6-M2-C1; D5-C6-M2-C1; D6-C6-M2-C1; D7-C6-M2-C1; D8-C6-M2-C1; D9-C6-M2-C1; D1-C7-M2-C1; D2-C7-M2-C1; D3-C7-M2-C1; D4-C7-M2-C1; D5-C7-M2-C1; D6-C7-M2-C1; D7-C7-M2-C1; D8-C7-M2-C1; D9-C7-M2-C1; D1-C8-M2-C1; D2-C8-M2-C1; D3-C8-M2-C1; D4-C8-M2-C1; D5-C8-M2-C1; D6-C8-M2-C1; D7-C8-M2-C1; D8-C8-M2-C1;
The last 800 arrangements are as follows:
. . . ; C9-C8-C2-D2; C9-C8-C2-D3; C9-C8-C2-D4; C9-C8-C2-D5; C9-C8-C2-D6; C9-C8-C2-D7; C9-C8-C2-D8; C9-C8-C2-D9; C9-C8-C3-D1; C9-C8-C3-D2; C9-C8-C3-D3; C9-C8-C3-D4; C9-C8-C3-D5; C9-C8-C3-D6; C9-C8-C3-D7; C9-C8-C3-D8; C9-C8-C3-D9; C9-C8-C4-D1; C9-C8-C4-D2; C9-C8-C4-D3; C9-C8-C4-D4; C9-C8-C4-D5; C9-C8-C4-D6; C9-C8-C4-D7; C9-C8-C4-D8; C9-C8-C4-D9; C9-C8-C5-D1; C9-C8-C5-D2; C9-C8-C5-D3; C9-C8-C5-D4; C9-C8-C5-D5; C9-C8-C5-D6; C9-C8-C5-D7; C9-C8-C5-D8; C9-C8-C5-D9; C9-C8-C6-D1; C9-C8-C6-D2; C9-C8-C6-D3; C9-C8-C6-D4; C9-C8-C6-D5; C9-C8-C6-D6; C9-C8-C6-D7; C9-C8-C6-D8; C9-C8-C6-D9; C9-C8-C7-D1; C9-C8-C7-D2; C9-C8-C7-D3; C9-C8-C7-D4; C9-C8-C7-D5; C9-C8-C7-D6; C9-C8-C7-D7; C9-C8-C7-D8; C9-C8-C7-D9; C9-C8-C8-D1; C9-C8-C8-D2; C9-C8-C8-D3; C9-C8-C8-D4; C9-C8-C8-D5; C9-C8-C8-D6; C9-C8-C8-D7; C9-C8-C8-D8; C9-C8-C8-D9; C9-C8-C9-D1; C9-C8-C9-D2; C9-C8-C9-D3; C9-C8-C9-D4; C9-C8-C9-D5; C9-C8-C9-D6; C9-C8-C9-D7; C9-C8-C9-D8; C9-C8-C9-D9; C1-C9-C1-D1; C1-C9-C1-D2; C1-C9-C1-D3; C1-C9-C1-D4; C1-C9-C1-D5; C1-C9-C1-D6; C1-C9-C1-D7; C1-C9-C1-D8; C1-C9-C1-D9; C1-C9-C2-D1; C1-C9-C2-D2; C1-C9-C2-D3; C1-C9-C2-D4; C1-C9-C2-D5; C1-C9-C2-D6; C1-C9-C2-D7; C1-C9-C2-D8; C1-C9-C2-D9; C1-C9-C3-D1; C1-C9-C3-D2; C1-C9-C3-D3; C1-C9-C3-D4; C1-C9-C3-D5; C1-C9-C3-D6; C1-C9-C3-D7; C1-C9-C3-D8; C1-C9-C3-D9; C1-C9-C4-D1; C1-C9-C4-D2; C1-C9-C4-D3; C1-C9-C4-D4; C1-C9-C4-D5; C1-C9-C4-D6; C1-C9-C4-D7; C1-C9-C4-D8; C1-C9-C4-D9; C1-C9-C5-D1; C1-C9-C5-D2; C1-C9-C5-D3; C1-C9-C5-D4; C1-C9-C5-D5; C1-C9-C5-D6; C1-C9-C5-D7; C1-C9-C5-D8; C1-C9-C5-D9; C1-C9-C6-D1; C1-C9-C6-D2; C1-C9-C6-D3; C1-C9-C6-D4; C1-C9-C6-D5; C1-C9-C6-D6; C1-C9-C6-D7; C1-C9-C6-D8; C1-C9-C6-D9; C1-C9-C7-D1; C1-C9-C7-D2; C1-C9-C7-D3; C1-C9-C7-D4; C1-C9-C7-D5; C1-C9-C7-D6; C1-C9-C7-D7; C1-C9-C7-D8; C1-C9-C7-D9; C1-C9-C8-D1; C1-C9-C8-D2; C1-C9-C8-D3; C1-C9-C8-D4; C1-C9-C8-D5; C1-C9-C8-D6; C1-C9-C8-D7; C1-C9-C8-D8; C1-C9-C8-D9; C1-C9-C9-D1; C1-C9-C9-D2; C1-C9-C9-D3; C1-C9-C9-D4; C1-C9-C9-D5; C1-C9-C9-D6; C1-C9-C9-D7; C1-C9-C9-D8; C1-C9-C9-D9; C2-C9-C1-D1; C2-C9-C1-D2; C2-C9-C1-D3; C2-C9-C1-D4; C2-C9-C1-D5; C2-C9-C1-D6; C2-C9-C1-D7; C2-C9-C1-D8; C2-C9-C1-D9; C2-C9-C2-D1; C2-C9-C2-D2; C2-C9-C2-D3; C2-C9-C2-D4; C2-C9-C2-D5; C2-C9-C2-D6; C2-C9-C2-D7; C2-C9-C2-D8; C2-C9-C2-D9; C2-C9-C3-D1; C2-C9-C3-D2; C2-C9-C3-D3; C2-C9-C3-D4; C2-C9-C3-D5; C2-C9-C3-D6; C2-C9-C3-D7; C2-C9-C3-D8; C2-C9-C3-D9; C2-C9-C4-D1; C2-C9-C4-D2; C2-C9-C4-D3; C2-C9-C4-D4; C2-C9-C4-D5; C2-C9-C4-D6; C2-C9-C4-D7; C2-C9-C4-D8; C2-C9-C4-D9; C2-C9-C5-D1; C2-C9-C5-D2; C2-C9-C5-D3; C2-C9-C5-D4; C2-C9-C5-D5; C2-C9-C5-D6; C2-C9-C5-D7; C2-C9-C5-D8; C2-C9-C5-D9; C2-C9-C6-D1; C2-C9-C6-D2; C2-C9-C6-D3; C2-C9-C6-D4; C2-C9-C6-D5; C2-C9-C6-D6; C2-C9-C6-D7; C2-C9-C6-D8; C2-C9-C6-D9; C2-C9-C7-D1; C2-C9-C7-D2; C2-C9-C7-D3; C2-C9-C7-D4; C2-C9-C7-D5; C2-C9-C7-D6; C2-C9-C7-D7; C2-C9-C7-D8; C2-C9-C7-D9; C2-C9-C8-D1; C2-C9-C8-D2; C2-C9-C8-D3; C2-C9-C8-D4; C2-C9-C8-D5; C2-C9-C8-D6; C2-C9-C8-D7; C2-C9-C8-D8; C2-C9-C8-D9; C2-C9-C9-D1; C2-C9-C9-D2; C2-C9-C9-D3; C2-C9-C9-D4; C2-C9-C9-D5; C2-C9-C9-D6; C2-C9-C9-D7; C2-C9-C9-D8; C2-C9-C9-D9; C3-C9-C1-D1; C3-C9-C1-D2; C3-C9-C1-D3; C3-C9-C1-D4; C3-C9-C1-D5; C3-C9-C1-D6; C3-C9-C1-D7; C3-C9-C1-D8; C3-C9-C1-D9; C3-C9-C2-D1; C3-C9-C2-D2; C3-C9-C2-D3; C3-C9-C2-D4; C3-C9-C2-D5; C3-C9-C2-D6; C3-C9-C2-D7; C3-C9-C2-D8; C3-C9-C2-D9; C3-C9-C3-D1; C3-C9-C3-D2; C3-C9-C3-D3; C3-C9-C3-D4; C3-C9-C3-D5; C3-C9-C3-D6; C3-C9-C3-D7; C3-C9-C3-D8; C3-C9-C3-D9; C3-C9-C4-D1; C3-C9-C4-D2; C3-C9-C4-D3; C3-C9-C4-D4; C3-C9-C4-D5; C3-C9-C4-D6; C3-C9-C4-D7; C3-C9-C4-D8; C3-C9-C4-D9; C3-C9-C5-D1; C3-C9-C5-D2; C3-C9-C5-D3; C3-C9-C5-D4; C3-C9-C5-D5; C3-C9-C5-D6; C3-C9-C5-D7; C3-C9-C5-D8; C3-C9-C5-D9; C3-C9-C6-D1; C3-C9-C6-D2; C3-C9-C6-D3; C3-C9-C6-D4; C3-C9-C6-D5; C3-C9-C6-D6; C3-C9-C6-D7; C3-C9-C6-D8; C3-C9-C6-D9; C3-C9-C7-D1; C3-C9-C7-D2; C3-C9-C7-D3; C3-C9-C7-D4; C3-C9-C7-D5; C3-C9-C7-D6; C3-C9-C7-D7; C3-C9-C7-D8; C3-C9-C7-D9; C3-C9-C8-D1; C3-C9-C8-D2; C3-C9-C8-D3; C3-C9-C8-D4; C3-C9-C8-D5; C3-C9-C8-D6; C3-C9-C8-D7; C3-C9-C8-D8; C3-C9-C8-D9; C3-C9-C9-D1; C3-C9-C9-D2; C3-C9-C9-D3; C3-C9-C9-D4; C3-C9-C9-D5; C3-C9-C9-D6; C3-C9-C9-D7; C3-C9-C9-D8; C3-C9-C9-D9; C4-C9-C1-D1; C4-C9-C1-D2; C4-C9-C1-D3; C4-C9-C1-D4; C4-C9-C1-D5; C4-C9-C1-D6; C4-C9-C1-D7; C4-C9-C1-D8; C4-C9-C1-D9; C4-C9-C2-D1; C4-C9-C2-D2; C4-C9-C2-D3; C4-C9-C2-D4; C4-C9-C2-D5; C4-C9-C2-D6; C4-C9-C2-D7; C4-C9-C2-D8; C4-C9-C2-D9; C4-C9-C3-D1; C4-C9-C3-D2; C4-C9-C3-D3; C4-C9-C3-D4; C4-C9-C3-D5; C4-C9-C3-D6; C4-C9-C3-D7; C4-C9-C3-D8; C4-C9-C3-D9; C4-C9-C4-D1; C4-C9-C4-D2; C4-C9-C4-D3; C4-C9-C4-D4; C4-C9-C4-D5; C4-C9-C4-D6; C4-C9-C4-D7; C4-C9-C4-D8; C4-C9-C4-D9; C4-C9-C5-D1; C4-C9-C5-D2; C4-C9-C5-D3; C4-C9-C5-D4; C4-C9-C5-D5; C4-C9-C5-D6; C4-C9-C5-D7; C4-C9-C5-D8; C4-C9-C5-D9; C4-C9-C6-D1; C4-C9-C6-D2; C4-C9-C6-D3; C4-C9-C6-D4; C4-C9-C6-D5; C4-C9-C6-D6; C4-C9-C6-D7; C4-C9-C6-D8; C4-C9-C6-D9; C4-C9-C7-D1; C4-C9-C7-D2; C4-C9-C7-D3; C4-C9-C7-D4; C4-C9-C7-D5; C4-C9-C7-D6; C4-C9-C7-D7; C4-C9-C7-D8; C4-C9-C7-D9; C4-C9-C8-D1; C4-C9-C8-D2; C4-C9-C8-D3; C4-C9-C8-D4; C4-C9-C8-D5; C4-C9-C8-D6; C4-C9-C8-D7; C4-C9-C8-D8; C4-C9-C8-D9; C4-C9-C9-D1; C4-C9-C9-D2; C4-C9-C9-D3; C4-C9-C9-D4; C4-C9-C9-D5; C4-C9-C9-D6; C4-C9-C9-D7; C4-C9-C9-D8; C4-C9-C9-D9; C5-C9-C1-D1; C5-C9-C1-D2; C5-C9-C1-D3; C5-C9-C1-D4; C5-C9-C1-D5; C5-C9-C1-D6; C5-C9-C1-D7; C5-C9-C1-D8; C5-C9-C1-D9; C5-C9-C2-D1; C5-C9-C2-D2; C5-C9-C2-D3; C5-C9-C2-D4; C5-C9-C2-D5; C5-C9-C2-D6; C5-C9-C2-D7; C5-C9-C2-D8; C5-C9-C2-D9; C5-C9-C3-D1; C5-C9-C3-D2; C5-C9-C3-D3; C5-C9-C3-D4; C5-C9-C3-D5; C5-C9-C3-D6; C5-C9-C3-D7; C5-C9-C3-D8; C5-C9-C3-D9; C5-C9-C4-D1; C5-C9-C4-D2; C5-C9-C4-D3; C5-C9-C4-D4; C5-C9-C4-D5; C5-C9-C4-D6; C5-C9-C4-D7; C5-C9-C4-D8; C5-C9-C4-D9; C5-C9-C5-D1; C5-C9-C5-D2; C5-C9-C5-D3; C5-C9-C5-D4; C5-C9-C5-D5; C5-C9-C5-D6; C5-C9-C5-D7; C5-C9-C5-D8; C5-C9-C5-D9; C5-C9-C6-D1; C5-C9-C6-D2; C5-C9-C6-D3; C5-C9-C6-D4; C5-C9-C6-D5; C5-C9-C6-D6; C5-C9-C6-D7; C5-C9-C6-D8; C5-C9-C6-D9; C5-C9-C7-D1; C5-C9-C7-D2; C5-C9-C7-D3; C5-C9-C7-D4; C5-C9-C7-D5; C5-C9-C7-D6; C5-C9-C7-D7; C5-C9-C7-D8; C5-C9-C7-D9; C5-C9-C8-D1; C5-C9-C8-D2; C5-C9-C8-D3; C5-C9-C8-D4; C5-C9-C8-D5; C5-C9-C8-D6; C5-C9-C8-D7; C5-C9-C8-D8; C5-C9-C8-D9; C5-C9-C9-D1; C5-C9-C9-D2; C5-C9-C9-D3; C5-C9-C9-D4; C5-C9-C9-D5; C5-C9-C9-D6; C5-C9-C9-D7; C5-C9-C9-D8; C5-C9-C9-D9; C6-C9-C1-D1; C6-C9-C1-D2; C6-C9-C1-D3; C6-C9-C1-D4; C6-C9-C1-D5; C6-C9-C1-D6; C6-C9-C1-D7; C6-C9-C1-D8; C6-C9-C1-D9; C6-C9-C2-D1; C6-C9-C2-D2; C6-C9-C2-D3; C6-C9-C2-D4; C6-C9-C2-D5; C6-C9-C2-D6; C6-C9-C2-D7; C6-C9-C2-D8; C6-C9-C2-D9; C6-C9-C3-D1; C6-C9-C3-D2; C6-C9-C3-D3; C6-C9-C3-D4; C6-C9-C3-D5; C6-C9-C3-D6; C6-C9-C3-D7; C6-C9-C3-D8; C6-C9-C3-D9; C6-C9-C4-D1; C6-C9-C4-D2; C6-C9-C4-D3; C6-C9-C4-D4; C6-C9-C4-D5; C6-C9-C4-D6; C6-C9-C4-D7; C6-C9-C4-D8; C6-C9-C4-D9; C6-C9-C5-D1; C6-C9-C5-D2; C6-C9-C5-D3; C6-C9-C5-D4; C6-C9-C5-D5; C6-C9-C5-D6; C6-C9-C5-D7; C6-C9-C5-D8; C6-C9-C5-D9; C6-C9-C6-D1; C6-C9-C6-D2; C6-C9-C6-D3; C6-C9-C6-D4; C6-C9-C6-D5; C6-C9-C6-D6; C6-C9-C6-D7; C6-C9-C6-D8; C6-C9-C6-D9; C6-C9-C7-D1; C6-C9-C7-D2; C6-C9-C7-D3; C6-C9-C7-D4; C6-C9-C7-D5; C6-C9-C7-D6; C6-C9-C7-D7; C6-C9-C7-D8; C6-C9-C7-D9; C6-C9-C8-D1; C6-C9-C8-D2; C6-C9-C8-D3; C6-C9-C8-D4; C6-C9-C8-D5; C6-C9-C8-D6; C6-C9-C8-D7; C6-C9-C8-D8; C6-C9-C8-D9; C6-C9-C9-D1; C6-C9-C9-D2; C6-C9-C9-D3; C6-C9-C9-D4; C6-C9-C9-D5; C6-C9-C9-D6; C6-C9-C9-D7; C6-C9-C9-D8; C6-C9-C9-D9; C7-C9-C1-D1; C7-C9-C1-D2; C7-C9-C1-D3; C7-C9-C1-D4; C7-C9-C1-D5; C7-C9-C1-D6; C7-C9-C1-D7; C7-C9-C1-D8; C7-C9-C1-D9; C7-C9-C2-D1; C7-C9-C2-D2; C7-C9-C2-D3; C7-C9-C2-D4; C7-C9-C2-D5; C7-C9-C2-D6; C7-C9-C2-D7; C7-C9-C2-D8; C7-C9-C2-D9; C7-C9-C3-D1; C7-C9-C3-D2; C7-C9-C3-D3; C7-C9-C3-D4; C7-C9-C3-D5; C7-C9-C3-D6; C7-C9-C3-D7; C7-C9-C3-D8; C7-C9-C3-D9; C7-C9-C4-D1; C7-C9-C4-D2; C7-C9-C4-D3; C7-C9-C4-D4; C7-C9-C4-D5; C7-C9-C4-D6; C7-C9-C4-D7; C7-C9-C4-D8; C7-C9-C4-D9; C7-C9-C5-D1; C7-C9-C5-D2; C7-C9-C5-D3; C7-C9-C5-D4; C7-C9-C5-D5; C7-C9-C5-D6; C7-C9-C5-D7; C7-C9-C5-D8; C7-C9-C5-D9; C7-C9-C6-D1; C7-C9-C6-D2; C7-C9-C6-D3; C7-C9-C6-D4; C7-C9-C6-D5; C7-C9-C6-D6; C7-C9-C6-D7; C7-C9-C6-D8; C7-C9-C6-D9; C7-C9-C7-D1; C7-C9-C7-D2; C7-C9-C7-D3; C7-C9-C7-D4; C7-C9-C7-D5; C7-C9-C7-D6; C7-C9-C7-D7; C7-C9-C7-D8; C7-C9-C7-D9; C7-C9-C8-D1; C7-C9-C8-D2; C7-C9-C8-D3; C7-C9-C8-D4; C7-C9-C8-D5; C7-C9-C8-D6; C7-C9-C8-D7; C7-C9-C8-D8; C7-C9-C8-D9; C7-C9-C9-D1; C7-C9-C9-D2; C7-C9-C9-D3; C7-C9-C9-D4; C7-C9-C9-D5; C7-C9-C9-D6; C7-C9-C9-D7; C7-C9-C9-D8; C7-C9-C9-D9; C8-C9-C1-D1; C8-C9-C1-D2; C8-C9-C1-D3; C8-C9-C1-D4; C8-C9-C1-D5; C8-C9-C1-D6; C8-C9-C1-D7; C8-C9-C1-D8; C8-C9-C1-D9; C8-C9-C2-D1; C8-C9-C2-D2; C8-C9-C2-D3; C8-C9-C2-D4; C8-C9-C2-D5; C8-C9-C2-D6; C8-C9-C2-D7; C8-C9-C2-D8; C8-C9-C2-D9; C8-C9-C3-D1; C8-C9-C3-D2; C8-C9-C3-D3; C8-C9-C3-D4; C8-C9-C3-D5; C8-C9-C3-D6; C8-C9-C3-D7; C8-C9-C3-D8; C8-C9-C3-D9; C8-C9-C4-D1; C8-C9-C4-D2; C8-C9-C4-D3; C8-C9-C4-D4; C8-C9-C4-D5; C8-C9-C4-D6; C8-C9-C4-D7; C8-C9-C4-D8; C8-C9-C4-D9; C8-C9-C5-D1; C8-C9-C5-D2; C8-C9-C5-D3; C8-C9-C5-D4; C8-C9-C5-D5; C8-C9-C5-D6; C8-C9-C5-D7; C8-C9-C5-D8; C8-C9-C5-D9; C8-C9-C6-D1; C8-C9-C6-D2; C8-C9-C6-D3; C8-C9-C6-D4; C8-C9-C6-D5; C8-C9-C6-D6; C8-C9-C6-D7; C8-C9-C6-D8; C8-C9-C6-D9; C8-C9-C7-D1; C8-C9-C7-D2; C8-C9-C7-D3; C8-C9-C7-D4; C8-C9-C7-D5; C8-C9-C7-D6; C8-C9-C7-D7; C8-C9-C7-D8; C8-C9-C7-D9; C8-C9-C8-D1; C8-C9-C8-D2; C8-C9-C8-D3; C8-C9-C8-D4; C8-C9-C8-D5; C8-C9-C8-D6; C8-C9-C8-D7; C8-C9-C8-D8; C8-C9-C8-D9; C8-C9-C9-D1; C8-C9-C9-D2; C8-C9-C9-D3; C8-C9-C9-D4; C8-C9-C9-D5; C8-C9-C9-D6; C8-C9-C9-D7; C8-C9-C9-D8; C8-C9-C9-D9; C9-C9-C1-D1; C9-C9-C1-D2; C9-C9-C1-D3; C9-C9-C1-D4; C9-C9-C1-D5; C9-C9-C1-D6; C9-C9-C1-D7; C9-C9-C1-D8; C9-C9-C1-D9; C9-C9-C2-D1; C9-C9-C2-D2; C9-C9-C2-D3; C9-C9-C2-D4; C9-C9-C2-D5; C9-C9-C2-D6; C9-C9-C2-D7; C9-C9-C2-D8; C9-C9-C2-D9; C9-C9-C3-D1; C9-C9-C3-D2; C9-C9-C3-D3; C9-C9-C3-D4; C9-C9-C3-D5; C9-C9-C3-D6; C9-C9-C3-D7; C9-C9-C3-D8; C9-C9-C3-D9; C9-C9-C4-D1; C9-C9-C4-D2; C9-C9-C4-D3; C9-C9-C4-D4; C9-C9-C4-D5; C9-C9-C4-D6; C9-C9-C4-D7; C9-C9-C4-D8; C9-C9-C4-D9; C9-C9-C5-D1; C9-C9-C5-D2; C9-C9-C5-D3; C9-C9-C5-D4; C9-C9-C5-D5; C9-C9-C5-D6; C9-C9-C5-D7; C9-C9-C5-D8; C9-C9-C5-D9; C9-C9-C6-D1; C9-C9-C6-D2; C9-C9-C6-D3; C9-C9-C6-D4; C9-C9-C6-D5; C9-C9-C6-D6; C9-C9-C6-D7; C9-C9-C6-D8; C9-C9-C6-D9; C9-C9-C7-D1; C9-C9-C7-D2; C9-C9-C7-D3; C9-C9-C7-D4; C9-C9-C7-D5; C9-C9-C7-D6; C9-C9-C7-D7; C9-C9-C7-D8; C9-C9-C7-D9; C9-C9-C8-D1; C9-C9-C8-D2; C9-C9-C8-D3; C9-C9-C8-D4; C9-C9-C8-D5; C9-C9-C8-D6; C9-C9-C8-D7; C9-C9-C8-D8; C9-C9-C8-D9; C9-C9-C9-D1; C9-C9-C9-D2; C9-C9-C9-D3; C9-C9-C9-D4; C9-C9-C9-D5; C9-C9-C9-D6; C9-C9-C9-D7; C9-C9-C9-D8; C9-C9-C9-D9.
When “m=5” the method of generation using the generating section 2005 of FIGS. 42A, 42B, 42C, 42D, 42E, will generate 11022480 arrangements. Here-below the first 2000 arrangements and the last 2000 arrangements are shown. All other arrangements can be easily obtained by the skilled in the art using the method of generation and looking at the flow-chart of FIGS. 42A, 42B, 42C, 42D, 42E.
The first 2000 arrangements are:
D1-C1-M1-C1-C1; D2-C1-M1-C1-C1; D3-C1-M1-C1-C1; D4-C1-M1-C1-C1; D5-C1-M1-C1-C1; D6-C1-M1-C1-C1; D7-C1-M1-C1-C1; D8-C1-M1-C1-C1; D9-C1-M1-C1-C1; D1-C2-M1-C1-C1; D2-C2-M1-C1-C1; D3-C2-M1-C1-C1; D4-C2-M1-C1-C1; D5-C2-M1-C1-C1; D6-C2-M1-C1-C1; D7-C2-M1-C1-C1; D8-C2-M1-C1-C1; D9-C2-M1-C1-C1; D1-C3-M1-C1-C1; D2-C3-M1-C1-C1; D3-C3-M1-C1-C1; D4-C3-M1-C1-C1; D5-C3-M1-C1-C1; D6-C3-M1-C1-C1; D7-C3-M1-C1-C1; D8-C3-M1-C1-C1; D9-C3-M1-C1-C1; D1-C4-M1-C1-C1; D2-C4-M1-C1-C1; D3-C4-M1-C1-C1; D4-C4-M1-C1-C1; D5-C4-M1-C1-C1; D6-C4-M1-C1-C1; D7-C4-M1-C1-C1; D8-C4-M1-C1-C1; D9-C4-M1-C1-C1; 131-C5-M1-C1-C1; D2-C5-M1-C1-C1; D3-C5-M1-C1-C1; D4-C5-M1-C1-C1; 135-C5-M1-C1-C1; D6-C5-M1-C1-C1; D7-C5-M1-C1-C1; D8-C5-M1-C1-C1; D9-C5-M1-C1-C1; D1-C6-M1-C1-C1; D2-C6-M1-C1-C1; D3-C6-M1-C1-C1; D4-C6-M1-C1-C1; D5-C6-M1-C1-C1; D6-C6-M1-C1-C1; D7-C6-M1-C1-C1; D8-C6-M1-C1-C1; D9-C6-M1-C1-C1; D1-C7-M1-C1-C1; D2-C7-M1-C1-C1; D3-C7-M1-C1-C1; D4-C7-M1-C1-C1; D5-C7-M1-C1-C1; D6-C7-M1-C1-C1; D7-C7-M1-C1-C1; D8-C7-M1-C1-C1; D9-C7-M1-C1-C1; D1-C8-M1-C1-C1; D2-C8-M1-C1-C1; D3-C8-M1-C1-C1; D4-C8-M1-C1-C1; D5-C8-M1-C1-C1; D6-C8-M1-C1-C1; D7-C8-M1-C1-C1; D8-C8-M1-C1-C1; D9-C8-M1-C1-C1; D1-C9-M1-C1-C1; D2-C9-M1-C1-C1; D3-C9-M1-C1-C1; D4-C9-M1-C1-C1; D5-C9-M1-C1-C1; D6-C9-M1-C1-C1; D7-C9-M1-C1-C1; D8-C9-M1-C1-C1; D9-C9-M1-C1-C1; D1-C1-M1-C1-C2; D2-C1-M1-C1-C2; D3-C1-M1-C1-C2; D4-C1-M1-C1-C2; D5-C1-M1-C1-C2; D6-C1-M1-C1-C2; D7-C1-M1-C1-C2; D8-C1-M1-C1-C2; D9-C1-M1-C1-C2; D1-C2-M1-C1-C2; D2-C2-M1-C1-C2; D3-C2-M1-C1-C2; D4-C2-M1-C1-C2; D5-C2-M1-C1-C2; D6-C2-M1-C1-C2; D7-C2-M1-C1-C2; D8-C2-M1-C1-C2; D9-C2-M1-C1-C2; D1-C3-M1-C1-C2; D2-C3-M1-C1-C2; D3-C3-M1-C1-C2; D4-C3-M1-C1-C2; D5-C3-M1-C1-C2; D6-C3-M1-C1-C2; D7-C3-M1-C1-C2; D8-C3-M1-C1-C2; D9-C3-M1-C1-C2; D1-C4-M1-C1-C2; D2-C4-M1-C1-C2; D3-C4-M1-C1-C2; D4-C4-M1-C1-C2; D5-C4-M1-C1-C2; D6-C4-M1-C1-C2; D7-C4-M1-C1-C2; D8-C4-M1-C1-C2; D9-C4-M1-C1-C2; D1-C5-M1-C1-C2; D2-C5-M1-C1-C2; D3-C5-M1-C1-C2; D4-C5-M1-C1-C2; D5-C5-M1-C1-C2; D6-C5-M1-C1-C2; D7-C5-M1-C1-C2; D8-C5-M1-C1-C2; D9-C5-M1-C1-C2; D1-C6-M1-C1-C2; D2-C6-M1-C1-C2; D3-C6-M1-C1-C2; D4-C6-M1-C1-C2; D5-C6-M1-C1-C2; D6-C6-M1-C1-C2; D7-C6-M1-C1-C2; D8-C6-M1-C1-C2; D9-C6-M1-C1-C2; D1-C7-M1-C1-C2; D2-C7-M1-C1-C2; D3-C7-M1-C1-C2; D4-C7-M1-C1-C2; D5-C7-M1-C1-C2; D6-C7-M1-C1-C2; D7-C7-M1-C1-C2; D8-C7-M1-C1-C2; D9-C7-M1-C1-C2; D1-C8-M1-C1-C2; D2-C8-M1-C1-C2; D3-C8-M1-C1-C2; D4-C8-M1-C1-C2; D5-C8-M1-C1-C2; D6-C8-M1-C1-C2; D7-C8-M1-C1-C2; D8-C8-M1-C1-C2; D9-C8-M1-C1-C2; D1-C9-M1-C1-C2; D2-C9-M1-C1-C2; D3-C9-M1-C1-C2; D4-C9-M1-C1-C2; D5-C9-M1-C1-C2; D6-C9-M1-C1-C2; D7-C9-M1-C1-C2; D8-C9-M1-C1-C2; D9-C9-M1-C1-C2; D1-C1-M1-C1-C3; D2-C1-M1-C1-C3; D3-C1-M1-C1-C3; D4-C1-M1-C1-C3; D5-C1-M1-C1-C3; D6-C1-M1-C1-C3; D7-C1-M1-C1-C3; D8-C1-M1-C1-C3; D9-C1-M1-C1-C3; D1-C2-M1-C1-C3; D2-C2-M1-C1-C3; D3-C2-M1-C1-C3; D4-C2-M1-C1-C3; D5-C2-M1-C1-C3; D6-C2-M1-C1-C3; D7-C2-M1-C1-C3; D8-C2-M1-C1-C3; D9-C2-M1-C1-C3; D1-C3-M1-C1-C3; D2-C3-M1-C1-C3; D3-C3-M1-C1-C3; D4-C3-M1-C1-C3; D5-C3-M1-C1-C3; D6-C3-M1-C1-C3; D7-C3-M1-C1-C3; D8-C3-M1-C1-C3; D9-C3-M1-C1-C3; D1-C4-M1-C1-C3; D2-C4-M1-C1-C3; D3-C4-M1-C1-C3; D4-C4-M1-C1-C3; D5-C4-M1-C1-C3; D6-C4-M1-C1-C3; D7-C4-M1-C1-C3; D8-C4-M1-C1-C3; D9-C4-M1-C1-C3; D1-C5-M1-C1-C3; D2-C5-M1-C1-C3; D3-C5-M1-C1-C3; D4-C5-M1-C1-C3; D5-C5-M1-C1-C3; D6-C5-M1-C1-C3; D7-C5-M1-C1-C3; D8-C5-M1-C1-C3; D9-C5-M1-C1-C3; D1-C6-M1-C1-C3; D2-C6-M1-C1-C3; D3-C6-M1-C1-C3; D4-C6-M1-C1-C3; D5-C6-M1-C1-C3; D6-C6-M1-C1-C3; D7-C6-M1-C1-C3; D8-C6-M1-C1-C3; D9-C6-M1-C1-C3; D1-C7-M1-C1-C3; D2-C7-M1-C1-C3; D3-C7-M1-C1-C3; D4-C7-M1-C1-C3; D5-C7-M1-C1-C3; D6-C7-M1-C1-C3; D7-C7-M1-C1-C3; D8-C7-M1-C1-C3; D9-C7-M1-C1-C3; D1-C8-M1-C1-C3; D2-C8-M1-C1-C3; D3-C8-M1-C1-C3; D4-C8-M1-C1-C3; D5-C8-M1-C1-C3; D6-C8-M1-C1-C3; D7-C8-M1-C1-C3; D8-C8-M1-C1-C3; D9-C8-M1-C1-C3; D1-C9-M1-C1-C3; D2-C9-M1-C1-C3; D3-C9-M1-C1-C3; D4-C9-M1-C1-C3; D5-C9-M1-C1-C3; D6-C9-M1-C1-C3; D7-C9-M1-C1-C3; D8-C9-M1-C1-C3; D9-C9-M1-C1-C3; D1-C1-M1-C1-C4; D2-C1-M1-C1-C4; D3-C1-M1-C1-C4; D4-C1-M1-C1-C4; D5-C1-M1-C1-C4; D6-C1-M1-C1-C4; D7-C1-M1-C1-C4; D8-C1-M1-C1-C4; D9-C1-M1-C1-C4; D1-C2-M1-C1-C4; D2-C2-M1-C1-C4; D3-C2-M1-C1-C4; D4-C2-M1-C1-C4; D5-C2-M1-C1-C4; D6-C2-M1-C1-C4; D7-C2-M1-C1-C4; D8-C2-M1-C1-C4; D9-C2-M1-C1-C4; D1-C3-M1-C1-C4; D2-C3-M1-C1-C4; D3-C3-M1-C1-C4; D4-C3-M1-C1-C4; D5-C3-M1-C1-C4; D6-C3-M1-C1-C4; D7-C3-M1-C1-C4; D8-C3-M1-C1-C4; D9-C3-M1-C1-C4; D1-C4-M1-C1-C4; D2-C4-M1-C1-C4; D3-C4-M1-C1-C4; D4-C4-M1-C1-C4; D5-C4-M1-C1-C4; D6-C4-M1-C1-C4; D7-C4-M1-C1-C4; D8-C4-M1-C1-C4; D9-C4-M1-C1-C4; D1-C5-M1-C1-C4; D2-C5-M1-C1-C4; D3-C5-M1-C1-C4; D4-C5-M1-C1-C4; D5-C5-M1-C1-C4; D6-C5-M1-C1-C4; D7-C5-M1-C1-C4; D8-C5-M1-C1-C4; D9-C5-M1-C1-C4; D1-C6-M1-C1-C4; D2-C6-M1-C1-C4; D3-C6-M1-C1-C4; D4-C6-M1-C1-C4; D5-C6-M1-C1-C4; D6-C6-M1-C1-C4; D7-C6-M1-C1-C4; D8-C6-M1-C1-C4; D9-C6-M1-C1-C4; D1-C7-M1-C1-C4; D2-C7-M1-C1-C4; D3-C7-M1-C1-C4; D4-C7-M1-C1-C4; D5-C7-M1-C1-C4; D6-C7-M1-C1-C4; D7-C7-M1-C1-C4; D8-C7-M1-C1-C4; D9-C7-M1-C1-C4; D1-C8-M1-C1-C4; D2-C8-M1-C1-C4; D3-C8-M1-C1-C4; D4-C8-M1-C1-C4; D5-C8-M1-C1-C4; D6-C8-M1-C1-C4; D7-C8-M1-C1-C4; D8-C8-M1-C1-C4; D9-C8-M1-C1-C4; D1-C9-M1-C1-C4; D2-C9-M1-C1-C4; D3-C9-M1-C1-C4; D4-C9-M1-C1-C4; D5-C9-M1-C1-C4; D6-C9-M1-C1-C4; D7-C9-M1-C1-C4; D8-C9-M1-C1-C4; D9-C9-M1-C1-C4; D1-C1-M1-C1-C5; D2-C1-M1-C1-C5; D3-C1-M1-C1-C5; D4-C1-M1-C1-C5; D5-C1-M1-C1-C5; D6-C1-M1-C1-C5; D7-C1-M1-C1-C5; D8-C1-M1-C1-C5; D9-C1-M1-C1-C5; D1-C2-M1-C1-C5; D2-C2-M1-C1-C5; D3-C2-M1-C1-C5; D4-C2-M1-C1-C5; D5-C2-M1-C1-C5; D6-C2-M1-C1-C5; D7-C2-M1-C1-C5; D8-C2-M1-C1-C5; D9-C2-M1-C1-C5; D1-C3-M1-C1-C5; D2-C3-M1-C1-C5; D3-C3-M1-C1-C5; D4-C3-M1-C1-C5; D5-C3-M1-C1-C5; D6-C3-M1-C1-C5; D7-C3-M1-C1-C5; D8-C3-M1-C1-C5; D9-C3-M1-C1-C5; D1-C4-M1-C1-C5; D2-C4-M1-C1-C5; D3-C4-M1-C1-C5; D4-C4-M1-C1-C5; D5-C4-M1-C1-C5; D6-C4-M1-C1-C5; D7-C4-M1-C1-C5; D8-C4-M1-C1-C5; D9-C4-M1-C1-C5; D1-C5-M1-C1-C5; D2-C5-M1-C1-C5; D3-C5-M1-C1-C5; D4-C5-M1-C1-C5; D5-C5-M1-C1-C5; D6-C5-M1-C1-C5; D7-C5-M1-C1-C5; D8-C5-M1-C1-C5; D9-C5-M1-C1-C5; D1-C6-M1-C1-C5; D2-C6-M1-C1-C5; D3-C6-M1-C1-C5; D4-C6-M1-C1-C5; D5-C6-M1-C1-C5; D6-C6-M1-C1-C5; D7-C6-M1-C1-C5; D8-C6-M1-C1-C5; D9-C6-M1-C1-C5; D1-C7-M1-C1-C5; D2-C7-M1-C1-C5; D3-C7-M1-C1-C5; D4-C7-M1-C1-C5; D5-C7-M1-C1-C5; D6-C7-M1-C1-C5; D7-C7-M1-C1-C5; D8-C7-M1-C1-C5; D9-C7-M1-C1-C5; D1-C8-M1-C1-C5; D2-C8-M1-C1-C5; D3-C8-M1-C1-C5; D4-C8-M1-C1-C5; D5-C8-M1-C1-C5; D6-C8-M1-C1-C5; D7-C8-M1-C1-C5; D8-C8-M1-C1-C5; D9-C8-M1-C1-C5; D1-C9-M1-C1-C5; D2-C9-M1-C1-C5; D3-C9-M1-C1-C5; D4-C9-M1-C1-C5; D5-C9-M1-C1-C5; D6-C9-M1-C1-C5; D7-C9-M1-C1-C5; D8-C9-M1-C1-C5; D9-C9-M1-C1-C5; D1-C1-M1-C1-C6; D2-C1-M1-C1-C6; D3-C1-M1-C1-C6; D4-C1-M1-C1-C6; D5-C1-M1-C1-C6; D6-C1-M1-C1-C6; D7-C1-M1-C1-C6; D8-C1-M1-C1-C6; D9-C1-M1-C1-C6; D1-C2-M1-C1-C6; D2-C2-M1-C1-C6; D3-C2-M1-C1-C6; D4-C2-M1-C1-C6; D5-C2-M1-C1-C6; D6-C2-M1-C1-C6; D7-C2-M1-C1-C6; D8-C2-M1-C1-C6; D9-C2-M1-C1-C6; D1-C3-M1-C1-C6; D2-C3-M1-C1-C6; D3-C3-M1-C1-C6; D4-C3-M1-C1-C6; D5-C3-M1-C1-C6; D6-C3-M1-C1-C6; D7-C3-M1-C1-C6; D8-C3-M1-C1-C6; D9-C3-M1-C1-C6; D1-C4-M1-C1-C6; D2-C4-M1-C1-C6; D3-C4-M1-C1-C6; D4-C4-M1-C1-C6; D5-C4-M1-C1-C6; D6-C4-M1-C1-C6; D7-C4-M1-C1-C6; D8-C4-M1-C1-C6; D9-C4-M1-C1-C6; D1-C5-M1-C1-C6; D2-C5-M1-C1-C6; D3-C5-M1-C1-C6; D4-C5-M1-C1-C6; D5-C5-M1-C1-C6; D6-C5-M1-C1-C6; D7-C5-M1-C1-C6; D8-C5-M1-C1-C6; D9-C5-M1-C1-C6; D1-C6-M1-C1-C6; D2-C6-M1-C1-C6; D3-C6-M1-C1-C6; D4-C6-M1-C1-C6; D5-C6-M1-C1-C6; D6-C6-M1-C1-C6; D7-C6-M1-C1-C6; D8-C6-M1-C1-C6; D9-C6-M1-C1-C6; D1-C7-M1-C1-C6; D2-C7-M1-C1-C6; D3-C7-M1-C1-C6; D4-C7-M1-C1-C6; D5-C7-M1-C1-C6; D6-C7-M1-C1-C6; D7-C7-M1-C1-C6; D8-C7-M1-C1-C6; D9-C7-M1-C1-C6; D1-C8-M1-C1-C6; D2-C8-M1-C1-C6; D3-C8-M1-C1-C6; D4-C8-M1-C1-C6; D5-C8-M1-C1-C6; D6-C8-M1-C1-C6; D7-C8-M1-C1-C6; D8-C8-M1-C1-C6; D9-C8-M1-C1-C6; D1-C9-M1-C1-C6; D2-C9-M1-C1-C6; D3-C9-M1-C1-C6; D4-C9-M1-C1-C6; D5-C9-M1-C1-C6; D6-C9-M1-C1-C6; D7-C9-M1-C1-C6; D8-C9-M1-C1-C6; D9-C9-M1-C1-C6; D1-C1-M1-C1-C7; D2-C1-M1-C1-C7; D3-C1-M1-C1-C7; D4-C1-M1-C1-C7; D5-C1-M1-C1-C7; D6-C1-M1-C1-C7; D7-C1-M1-C1-C7; D8-C1-M1-C1-C7; D9-C1-M1-C1-C7; D1-C2-M1-C1-C7; D2-C2-M1-C1-C7; D3-C2-M1-C1-C7; D4-C2-M1-C1-C7; D5-C2-M1-C1-C7; D6-C2-M1-C1-C7; D7-C2-M1-C1-C7; D8-C2-M1-C1-C7; D9-C2-M1-C1-C7; D1-C3-M1-C1-C7; D2-C3-M1-C1-C7; D3-C3-M1-C1-C7; D4-C3-M1-C1-C7; D5-C3-M1-C1-C7; D6-C3-M1-C1-C7; D7-C3-M1-C1-C7; D8-C3-M1-C1-C7; D9-C3-M1-C1-C7; D1-C4-M1-C1-C7; D2-C4-M1-C1-C7; D3-C4-M1-C1-C7; D4-C4-M1-C1-C7; D5-C4-M1-C1-C7; D6-C4-M1-C1-C7; D7-C4-M1-C1-C7; D8-C4-M1-C1-C7; D9-C4-M1-C1-C7; D1-C5-M1-C1-C7; D2-C5-M1-C1-C7; D3-C5-M1-C1-C7; D4-C5-M1-C1-C7; D5-C5-M1-C1-C7; D6-C5-M1-C1-C7; D7-C5-M1-C1-C7; D8-C5-M1-C1-C7; D9-C5-M1-C1-C7; D1-C6-M1-C1-C7; D2-C6-M1-C1-C7; D3-C6-M1-C1-C7; D4-C6-M1-C1-C7; D5-C6-M1-C1-C7; D6-C6-M1-C1-C7; D7-C6-M1-C1-C7; D8-C6-M1-C1-C7; D9-C6-M1-C1-C7; D1-C7-M1-C1-C7; D2-C7-M1-C1-C7; D3-C7-M1-C1-C7; D4-C7-M1-C1-C7; D5-C7-M1-C1-C7; D6-C7-M1-C1-C7; D7-C7-M1-C1-C7; D8-C7-M1-C1-C7; D9-C7-M1-C1-C7; D1-C8-M1-C1-C7; D2-C8-M1-C1-C7; D3-C8-M1-C1-C7; D4-C8-M1-C1-C7; D5-C8-M1-C1-C7; D6-C8-M1-C1-C7; D7-C8-M1-C1-C7; D8-C8-M1-C1-C7; D9-C8-M1-C1-C7; D1-C9-M1-C1-C7; D2-C9-M1-C1-C7; D3-C9-M1-C1-C7; D4-C9-M1-C1-C7; D5-C9-M1-C1-C7; D6-C9-M1-C1-C7; D7-C9-M1-C1-C7; D8-C9-M1-C1-C7; D9-C9-M1-C1-C7; D1-C1-M1-C1-C8; D2-C1-M1-C1-C8; D3-C1-M1-C1-C8; D4-C1-M1-C1-C8; D5-C1-M1-C1-C8; D6-C1-M1-C1-C8; D7-C1-M1-C1-C8; D8-C1-M1-C1-C8; D9-C1-M1-C1-C8; D1-C2-M1-C1-C8; D2-C2-M1-C1-C8; D3-C2-M1-C1-C8; D4-C2-M1-C1-C8; D5-C2-M1-C1-C8; D6-C2-M1-C1-C8; D7-C2-M1-C1-C8; D8-C2-M1-C1-C8; D9-C2-M1-C1-C8; D1-C3-M1-C1-C8; D2-C3-M1-C1-C8; D3-C3-M1-C1-C8; D4-C3-M1-C1-C8; D5-C3-M1-C1-C8; D6-C3-M1-C1-C8; D7-C3-M1-C1-C8; D8-C3-M1-C1-C8; D9-C3-M1-C1-C8; D1-C4-M1-C1-C8; D2-C4-M1-C1-C8; D3-C4-M1-C1-C8; D4-C4-M1-C1-C8; D5-C4-M1-C1-C8; D6-C4-M1-C1-C8; D7-C4-M1-C1-C8; D8-C4-M1-C1-C8; D9-C4-M1-C1-C8; D1-C5-M1-C1-C8; D2-C5-M1-C1-C8; D3-C5-M1-C1-C8; D4-C5-M1-C1-C8; D5-C5-M1-C1-C8; D6-C5-M1-C1-C8; D7-C5-M1-C1-C8; D8-C5-M1-C1-C8; D9-C5-M1-C1-C8; D1-C6-M1-C1-C8; D2-C6-M1-C1-C8; D3-C6-M1-C1-C8; D4-C6-M1-C1-C8; D5-C6-M1-C1-C8; D6-C6-M1-C1-C8; D7-C6-M1-C1-C8; D8-C6-M1-C1-C8; D9-C6-M1-C1-C8; D1-C7-M1-C1-C8; D2-C7-M1-C1-C8; D3-C7-M1-C1-C8; D4-C7-M1-C1-C8; D5-C7-M1-C1-C8; D6-C7-M1-C1-C8; D7-C7-M1-C1-C8; D8-C7-M1-C1-C8; D9-C7-M1-C1-C8; D1-C8-M1-C1-C8; D2-C8-M1-C1-C8; D3-C8-M1-C1-C8; D4-C8-M1-C1-C8; D5-C8-M1-C1-C8; D6-C8-M1-C1-C8; D7-C8-M1-C1-C8; D8-C8-M1-C1-C8; D9-C8-M1-C1-C8; D1-C9-M1-C1-C8; D2-C9-M1-C1-C8; D3-C9-M1-C1-C8; D4-C9-M1-C1-C8; D5-C9-M1-C1-C8; D6-C9-M1-C1-C8; D7-C9-M1-C1-C8; D8-C9-M1-C1-C8; D9-C9-M1-C1-C8; D1-C1-M1-C1-C9; D2-C1-M1-C1-C9; D3-C1-M1-C1-C9; D4-C1-M1-C1-C9; D5-C1-M1-C1-C9; D6-C1-M1-C1-C9; D7-C1-M1-C1-C9; D8-C1-M1-C1-C9; D9-C1-M1-C1-C9; D1-C2-M1-C1-C9; D2-C2-M1-C1-C9; D3-C2-M1-C1-C9; D4-C2-M1-C1-C9; D5-C2-M1-C1-C9; D6-C2-M1-C1-C9; D7-C2-M1-C1-C9; D8-C2-M1-C1-C9; D9-C2-M1-C1-C9; D1-C3-M1-C1-C9; D2-C3-M1-C1-C9; D3-C3-M1-C1-C9; D4-C3-M1-C1-C9; D5-C3-M1-C1-C9; D6-C3-M1-C1-C9; D7-C3-M1-C1-C9; D8-C3-M1-C1-C9; D9-C3-M1-C1-C9; D1-C4-M1-C1-C9; D2-C4-M1-C1-C9; D3-C4-M1-C1-C9; D4-C4-M1-C1-C9; D5-C4-M1-C1-C9; D6-C4-M1-C1-C9; D7-C4-M1-C1-C9; D8-C4-M1-C1-C9; D9-C4-M1-C1-C9; D1-C5-M1-C1-C9; D2-C5-M1-C1-C9; D3-C5-M1-C1-C9; D4-C5-M1-C1-C9; D5-C5-M1-C1-C9; D6-C5-M1-C1-C9; D7-C5-M1-C1-C9; D8-C5-M1-C1-C9; D9-C5-M1-C1-C9; D1-C6-M1-C1-C9; D2-C6-M1-C1-C9; D3-C6-M1-C1-C9; D4-C6-M1-C1-C9; D5-C6-M1-C1-C9; D6-C6-M1-C1-C9; D7-C6-M1-C1-C9; D8-C6-M1-C1-C9; D9-C6-M1-C1-C9; D1-C7-M1-C1-C9; D2-C7-M1-C1-C9; D3-C7-M1-C1-C9; D4-C7-M1-C1-C9; D5-C7-M1-C1-C9; D6-C7-M1-C1-C9; D7-C7-M1-C1-C9; D8-C7-M1-C1-C9; D9-C7-M1-C1-C9; D1-C8-M1-C1-C9; D2-C8-M1-C1-C9; D3-C8-M1-C1-C9; D4-C8-M1-C1-C9; D5-C8-M1-C1-C9; D6-C8-M1-C1-C9; D7-C8-M1-C1-C9; D8-C8-M1-C1-C9; D9-C8-M1-C1-C9; D1-C9-M1-C1-C9; D2-C9-M1-C1-C9; D3-C9-M1-C1-C9; D4-C9-M1-C1-C9; D5-C9-M1-C1-C9; D6-C9-M1-C1-C9; D7-C9-M1-C1-C9; D8-C9-M1-C1-C9; D9-C9-M1-C1-C9; D1-C1-M1-C2-C1; D2-C1-M1-C2-C1; D3-C1-M1-C2-C1; D4-C1-M1-C2-C1; D5-C1-M1-C2-C1; D6-C1-M1-C2-C1; D7-C1-M1-C2-C1; D8-C1-M1-C2-C1; D9-C1-M1-C2-C1; D1-C2-M1-C2-C1; D2-C2-M1-C2-C1; D3-C2-M1-C2-C1; D4-C2-M1-C2-C1; D5-C2-M1-C2-C1; D6-C2-M1-C2-C1; D7-C2-M1-C2-C1; D8-C2-M1-C2-C1; D9-C2-M1-C2-C1; D1-C3-M1-C2-C1; D2-C3-M1-C2-C1; D3-C3-M1-C2-C1; D4-C3-M1-C2-C1; D5-C3-M1-C2-C1; D6-C3-M1-C2-C1; D7-C3-M1-C2-C1; D8-C3-M1-C2-C1; D9-C3-M1-C2-C1; D1-C4-M1-C2-C1; D2-C4-M1-C2-C1; D3-C4-M1-C2-C1; D4-C4-M1-C2-C1; D5-C4-M1-C2-C1; D6-C4-M1-C2-C1; D7-C4-M1-C2-C1; D8-C4-M1-C2-C1; D9-C4-M1-C2-C1; D1-C5-M1-C2-C1; D2-C5-M1-C2-C1; D3-C5-M1-C2-C1; D4-C5-M1-C2-C1; D5-C5-M1-C2-C1; D6-C5-M1-C2-C1; D7-C5-M1-C2-C1; D8-C5-M1-C2-C1; D9-C5-M1-C2-C1; D1-C6-M1-C2-C1; D2-C6-M1-C2-C1; D3-C6-M1-C2-C1; D4-C6-M1-C2-C1; D5-C6-M1-C2-C1; D6-C6-M1-C2-C1; D7-C6-M1-C2-C1; D8-C6-M1-C2-C1; D9-C6-M1-C2-C1; D1-C7-M1-C2-C1; D2-C7-M1-C2-C1; D3-C7-M1-C2-C1; D4-C7-M1-C2-C1; D5-C7-M1-C2-C1; D6-C7-M1-C2-C1; D7-C7-M1-C2-C1; D8-C7-M1-C2-C1; D9-C7-M1-C2-C1; D1-C8-M1-C2-C1; D2-C8-M1-C2-C1; D3-C8-M1-C2-C1; D4-C8-M1-C2-C1; D5-C8-M1-C2-C1; D6-C8-M1-C2-C1; D7-C8-M1-C2-C1; D8-C8-M1-C2-C1; D9-C8-M1-C2-C1; D1-C9-M1-C2-C1; D2-C9-M1-C2-C1; D3-C9-M1-C2-C1; D4-C9-M1-C2-C1; D5-C9-M1-C2-C1; D6-C9-M1-C2-C1; D7-C9-M1-C2-C1; D8-C9-M1-C2-C1; D9-C9-M1-C2-C1; D1-C1-M1-C2-C2; D2-C1-M1-C2-C2; D3-C1-M1-C2-C2; D4-C1-M1-C2-C2; D5-C1-M1-C2-C2; D6-C1-M1-C2-C2; D7-C1-M1-C2-C2; D8-C1-M1-C2-C2; D9-C1-M1-C2-C2; D1-C2-M1-C2-C2; D2-C2-M1-C2-C2; D3-C2-M1-C2-C2; D4-C2-M1-C2-C2; D5-C2-M1-C2-C2; D6-C2-M1-C2-C2; D7-C2-M1-C2-C2; D8-C2-M1-C2-C2; D9-C2-M1-C2-C2; D1-C3-M1-C2-C2; D2-C3-M1-C2-C2; D3-C3-M1-C2-C2; D4-C3-M1-C2-C2; D5-C3-M1-C2-C2; D6-C3-M1-C2-C2; D7-C3-M1-C2-C2; D8-C3-M1-C2-C2; D9-C3-M1-C2-C2; D1-C4-M1-C2-C2; D2-C4-M1-C2-C2; D3-C4-M1-C2-C2; D4-C4-M1-C2-C2; D5-C4-M1-C2-C2; D6-C4-M1-C2-C2; D7-C4-M1-C2-C2; D8-C4-M1-C2-C2; D9-C4-M1-C2-C2; D1-C5-M1-C2-C2; D2-C5-M1-C2-C2; D3-C5-M1-C2-C2; D4-C5-M1-C2-C2; D5-C5-M1-C2-C2; D6-C5-M1-C2-C2; D7-C5-M1-C2-C2; D8-C5-M1-C2-C2; D9-C5-M1-C2-C2; D1-C6-M1-C2-C2; D2-C6-M1-C2-C2; D3-C6-M1-C2-C2; D4-C6-M1-C2-C2; D5-C6-M1-C2-C2; D6-C6-M1-C2-C2; D7-C6-M1-C2-C2; D8-C6-M1-C2-C2; D9-C6-M1-C2-C2; D1-C7-M1-C2-C2; D2-C7-M1-C2-C2; D3-C7-M1-C2-C2; D4-C7-M1-C2-C2; D5-C7-M1-C2-C2; D6-C7-M1-C2-C2; D7-C7-M1-C2-C2; D8-C7-M1-C2-C2; D9-C7-M1-C2-C2; D1-C8-M1-C2-C2; D2-C8-M1-C2-C2; D3-C8-M1-C2-C2; D4-C8-M1-C2-C2; D5-C8-M1-C2-C2; D6-C8-M1-C2-C2; D7-C8-M1-C2-C2; D8-C8-M1-C2-C2; D9-C8-M1-C2-C2; D1-C9-M1-C2-C2; D2-C9-M1-C2-C2; D3-C9-M1-C2-C2; D4-C9-M1-C2-C2; D5-C9-M1-C2-C2; D6-C9-M1-C2-C2; D7-C9-M1-C2-C2; D8-C9-M1-C2-C2; D9-C9-M1-C2-C2; D1-C1-M1-C2-C3; D2-C1-M1-C2-C3; D3-C1-M1-C2-C3; D4-C1-M1-C2-C3; D5-C1-M1-C2-C3; D6-C1-M1-C2-C3; D7-C1-M1-C2-C3; D8-C1-M1-C2-C3; D9-C1-M1-C2-C3; D1-C2-M1-C2-C3; D2-C2-M1-C2-C3; D3-C2-M1-C2-C3; D4-C2-M1-C2-C3; D5-C2-M1-C2-C3; D6-C2-M1-C2-C3; D7-C2-M1-C2-C3; D8-C2-M1-C2-C3; D9-C2-M1-C2-C3; D1-C3-M1-C2-C3; D2-C3-M1-C2-C3; D3-C3-M1-C2-C3; D4-C3-M1-C2-C3; D5-C3-M1-C2-C3; D6-C3-M1-C2-C3; D7-C3-M1-C2-C3; D8-C3-M1-C2-C3; D9-C3-M1-C2-C3; D1-C4-M1-C2-C3; D2-C4-M1-C2-C3; D3-C4-M1-C2-C3; D4-C4-M1-C2-C3; D5-C4-M1-C2-C3; D6-C4-M1-C2-C3; D7-C4-M1-C2-C3; D8-C4-M1-C2-C3; D9-C4-M1-C2-C3; D1-C5-M1-C2-C3; D2-C5-M1-C2-C3; D3-C5-M1-C2-C3; D4-C5-M1-C2-C3; D5-C5-M1-C2-C3; D6-C5-M1-C2-C3; D7-C5-M1-C2-C3; D8-C5-M1-C2-C3; D9-C5-M1-C2-C3; D1-C6-M1-C2-C3; D2-C6-M1-C2-C3; D3-C6-M1-C2-C3; D4-C6-M1-C2-C3; D5-C6-M1-C2-C3; D6-C6-M1-C2-C3; D7-C6-M1-C2-C3; D8-C6-M1-C2-C3; D9-C6-M1-C2-C3; D1-C7-M1-C2-C3; D2-C7-M1-C2-C3; D3-C7-M1-C2-C3; D4-C7-M1-C2-C3; D5-C7-M1-C2-C3; D6-C7-M1-C2-C3; D7-C7-M1-C2-C3; D8-C7-M1-C2-C3; D9-C7-M1-C2-C3; D1-C8-M1-C2-C3; D2-C8-M1-C2-C3; D3-C8-M1-C2-C3; D4-C8-M1-C2-C3; D5-C8-M1-C2-C3; D6-C8-M1-C2-C3; D7-C8-M1-C2-C3; D8-C8-M1-C2-C3; D9-C8-M1-C2-C3; D1-C9-M1-C2-C3; D2-C9-M1-C2-C3; D3-C9-M1-C2-C3; D4-C9-M1-C2-C3; D5-C9-M1-C2-C3; D6-C9-M1-C2-C3; D7-C9-M1-C2-C3; D8-C9-M1-C2-C3; D9-C9-M1-C2-C3; D1-C1-M1-C2-C4; D2-C1-M1-C2-C4; D3-C1-M1-C2-C4; D4-C1-M1-C2-C4; D5-C1-M1-C2-C4; D6-C1-M1-C2-C4; D7-C1-M1-C2-C4; D8-C1-M1-C2-C4; D9-C1-M1-C2-C4; D1-C2-M1-C2-C4; D2-C2-M1-C2-C4; D3-C2-M1-C2-C4; D4-C2-M1-C2-C4; D5-C2-M1-C2-C4; D6-C2-M1-C2-C4; D7-C2-M1-C2-C4; D8-C2-M1-C2-C4; D9-C2-M1-C2-C4; D1-C3-M1-C2-C4; D2-C3-M1-C2-C4; D3-C3-M1-C2-C4; D4-C3-M1-C2-C4; D5-C3-M1-C2-C4; D6-C3-M1-C2-C4; D7-C3-M1-C2-C4; D8-C3-M1-C2-C4; D9-C3-M1-C2-C4; D1-C4-M1-C2-C4; D2-C4-M1-C2-C4; D3-C4-M1-C2-C4; D4-C4-M1-C2-C4; D5-C4-M1-C2-C4; D6-C4-M1-C2-C4; D7-C4-M1-C2-C4; D8-C4-M1-C2-C4; D9-C4-M1-C2-C4; D1-C5-M1-C2-C4; D2-C5-M1-C2-C4; D3-C5-M1-C2-C4; D4-C5-M1-C2-C4; D5-C5-M1-C2-C4; D6-C5-M1-C2-C4; D7-C5-M1-C2-C4; D8-C5-M1-C2-C4; D9-C5-M1-C2-C4; D1-C6-M1-C2-C4; D2-C6-M1-C2-C4; D3-C6-M1-C2-C4; D4-C6-M1-C2-C4; D5-C6-M1-C2-C4; D6-C6-M1-C2-C4; D7-C6-M1-C2-C4; D8-C6-M1-C2-C4; D9-C6-M1-C2-C4; D1-C7-M1-C2-C4; D2-C7-M1-C2-C4; D3-C7-M1-C2-C4; D4-C7-M1-C2-C4; D5-C7-M1-C2-C4; D6-C7-M1-C2-C4; D7-C7-M1-C2-C4; D8-C7-M1-C2-C4; D9-C7-M1-C2-C4; D1-C8-M1-C2-C4; D2-C8-M1-C2-C4; D3-C8-M1-C2-C4; D4-C8-M1-C2-C4; D5-C8-M1-C2-C4; D6-C8-M1-C2-C4; D7-C8-M1-C2-C4; D8-C8-M1-C2-C4; D9-C8-M1-C2-C4; D1-C9-M1-C2-C4; D2-C9-M1-C2-C4; D3-C9-M1-C2-C4; D4-C9-M1-C2-C4; D5-C9-M1-C2-C4; D6-C9-M1-C2-C4; D7-C9-M1-C2-C4; D8-C9-M1-C2-C4; D9-C9-M1-C2-C4; D1-C1-M1-C2-C5; D2-C1-M1-C2-C5; D3-C1-M1-C2-C5; D4-C1-M1-C2-C5; D5-C1-M1-C2-C5; D6-C1-M1-C2-C5; D7-C1-M1-C2-C5; D8-C1-M1-C2-C5; D9-C1-M1-C2-C5; D1-C2-M1-C2-C5; D2-C2-M1-C2-C5; D3-C2-M1-C2-C5; D4-C2-M1-C2-C5; D5-C2-M1-C2-C5; D6-C2-M1-C2-C5; D7-C2-M1-C2-C5; D8-C2-M1-C2-C5; D9-C2-M1-C2-C5; D1-C3-M1-C2-C5; D2-C3-M1-C2-C5; D3-C3-M1-C2-C5; D4-C3-M1-C2-C5; D5-C3-M1-C2-C5; D6-C3-M1-C2-C5; D7-C3-M1-C2-C5; D8-C3-M1-C2-C5; D9-C3-M1-C2-C5; D1-C4-M1-C2-C5; D2-C4-M1-C2-C5; D3-C4-M1-C2-C5; D4-C4-M1-C2-C5; D5-C4-M1-C2-C5; D6-C4-M1-C2-C5; D7-C4-M1-C2-C5; D8-C4-M1-C2-C5; D9-C4-M1-C2-C5; D1-C5-M1-C2-C5; D2-C5-M1-C2-C5; D3-C5-M1-C2-C5; D4-C5-M1-C2-C5; D5-C5-M1-C2-C5; D6-C5-M1-C2-C5; D7-C5-M1-C2-C5; D8-C5-M1-C2-C5; D9-C5-M1-C2-C5; D1-C6-M1-C2-C5; D2-C6-M1-C2-C5; D3-C6-M1-C2-C5; D4-C6-M1-C2-C5; D5-C6-M1-C2-C5; D6-C6-M1-C2-C5; D7-C6-M1-C2-C5; D8-C6-M1-C2-C5; D9-C6-M1-C2-C5; D1-C7-M1-C2-C5; D2-C7-M1-C2-C5; D3-C7-M1-C2-C5; D4-C7-M1-C2-C5; D5-C7-M1-C2-C5; D6-C7-M1-C2-C5; D7-C7-M1-C2-C5; D8-C7-M1-C2-C5; D9-C7-M1-C2-C5; D1-C8-M1-C2-C5; D2-C8-M1-C2-C5; D3-C8-M1-C2-C5; D4-C8-M1-C2-C5; D5-C8-M1-C2-C5; D6-C8-M1-C2-C5; D7-C8-M1-C2-C5; D8-C8-M1-C2-C5; D9-C8-M1-C2-C5; D1-C9-M1-C2-C5; D2-C9-M1-C2-C5; D3-C9-M1-C2-C5; D4-C9-M1-C2-C5; D5-C9-M1-C2-C5; D6-C9-M1-C2-C5; D7-C9-M1-C2-C5; D8-C9-M1-C2-C5; D9-C9-M1-C2-C5; D1-C1-M1-C2-C6; D2-C1-M1-C2-C6; D3-C1-M1-C2-C6; D4-C1-M1-C2-C6; D5-C1-M1-C2-C6; D6-C1-M1-C2-C6; D7-C1-M1-C2-C6; D8-C1-M1-C2-C6; D9-C1-M1-C2-C6; D1-C2-M1-C2-C6; D2-C2-M1-C2-C6; D3-C2-M1-C2-C6; D4-C2-M1-C2-C6; D5-C2-M1-C2-C6; D6-C2-M1-C2-C6; D7-C2-M1-C2-C6; D8-C2-M1-C2-C6; D9-C2-M1-C2-C6; D1-C3-M1-C2-C6; D2-C3-M1-C2-C6; D3-C3-M1-C2-C6; D4-C3-M1-C2-C6; D5-C3-M1-C2-C6; D6-C3-M1-C2-C6; D7-C3-M1-C2-C6; D8-C3-M1-C2-C6; D9-C3-M1-C2-C6; D1-C4-M1-C2-C6; D2-C4-M1-C2-C6; D3-C4-M1-C2-C6; D4-C4-M1-C2-C6; D5-C4-M1-C2-C6; D6-C4-M1-C2-C6; D7-C4-M1-C2-C6; D8-C4-M1-C2-C6; D9-C4-M1-C2-C6; D1-C5-M1-C2-C6; D2-C5-M1-C2-C6; D3-C5-M1-C2-C6; D4-C5-M1-C2-C6; D5-C5-M1-C2-C6; D6-C5-M1-C2-C6; D7-C5-M1-C2-C6; D8-C5-M1-C2-C6; D9-C5-M1-C2-C6; D1-C6-M1-C2-C6; D2-C6-M1-C2-C6; D3-C6-M1-C2-C6; D4-C6-M1-C2-C6; D5-C6-M1-C2-C6; D6-C6-M1-C2-C6; D7-C6-M1-C2-C6; D8-C6-M1-C2-C6; D9-C6-M1-C2-C6; D1-C7-M1-C2-C6; D2-C7-M1-C2-C6; D3-C7-M1-C2-C6; D4-C7-M1-C2-C6; D5-C7-M1-C2-C6; D6-C7-M1-C2-C6; D7-C7-M1-C2-C6; D8-C7-M1-C2-C6; D9-C7-M1-C2-C6; D1-C8-M1-C2-C6; D2-C8-M1-C2-C6; D3-C8-M1-C2-C6; D4-C8-M1-C2-C6; D5-C8-M1-C2-C6; D6-C8-M1-C2-C6; D7-C8-M1-C2-C6; D8-C8-M1-C2-C6; D9-C8-M1-C2-C6; D1-C9-M1-C2-C6; D2-C9-M1-C2-C6; D3-C9-M1-C2-C6; D4-C9-M1-C2-C6; D5-C9-M1-C2-C6; D6-C9-M1-C2-C6; D7-C9-M1-C2-C6; D8-C9-M1-C2-C6; D9-C9-M1-C2-C6; D1-C1-M1-C2-C7; D2-C1-M1-C2-C7; D3-C1-M1-C2-C7; D4-C1-M1-C2-C7; D5-C1-M1-C2-C7; D6-C1-M1-C2-C7; D7-C1-M1-C2-C7; D8-C1-M1-C2-C7; D9-C1-M1-C2-C7; D1-C2-M1-C2-C7; D2-C2-M1-C2-C7; D3-C2-M1-C2-C7; D4-C2-M1-C2-C7; D5-C2-M1-C2-C7; D6-C2-M1-C2-C7; D7-C2-M1-C2-C7; D8-C2-M1-C2-C7; D9-C2-M1-C2-C7; D1-C3-M1-C2-C7; D2-C3-M1-C2-C7; D3-C3-M1-C2-C7; D4-C3-M1-C2-C7; D5-C3-M1-C2-C7; D6-C3-M1-C2-C7; D7-C3-M1-C2-C7; D8-C3-M1-C2-C7; D9-C3-M1-C2-C7; D1-C4-M1-C2-C7; D2-C4-M1-C2-C7; D3-C4-M1-C2-C7; D4-C4-M1-C2-C7; D5-C4-M1-C2-C7; D6-C4-M1-C2-C7; D7-C4-M1-C2-C7; D8-C4-M1-C2-C7; D9-C4-M1-C2-C7; D1-C5-M1-C2-C7; D2-C5-M1-C2-C7; D3-C5-M1-C2-C7; D4-C5-M1-C2-C7; D5-C5-M1-C2-C7; D6-C5-M1-C2-C7; D7-C5-M1-C2-C7; D8-C5-M1-C2-C7; D9-C5-M1-C2-C7; D1-C6-M1-C2-C7; D2-C6-M1-C2-C7; D3-C6-M1-C2-C7; D4-C6-M1-C2-C7; D5-C6-M1-C2-C7; D6-C6-M1-C2-C7; D7-C6-M1-C2-C7; D8-C6-M1-C2-C7; D9-C6-M1-C2-C7; D1-C7-M1-C2-C7; D2-C7-M1-C2-C7; D3-C7-M1-C2-C7; D4-C7-M1-C2-C7; D5-C7-M1-C2-C7; D6-C7-M1-C2-C7; D7-C7-M1-C2-C7; D8-C7-M1-C2-C7; D9-C7-M1-C2-C7; D1-C8-M1-C2-C7; D2-C8-M1-C2-C7; D3-C8-M1-C2-C7; D4-C8-M1-C2-C7; D5-C8-M1-C2-C7; D6-C8-M1-C2-C7; D7-C8-M1-C2-C7; D8-C8-M1-C2-C7; D9-C8-M1-C2-C7; D1-C9-M1-C2-C7; D2-C9-M1-C2-C7; D3-C9-M1-C2-C7; D4-C9-M1-C2-C7; D5-C9-M1-C2-C7; D6-C9-M1-C2-C7; D7-C9-M1-C2-C7; D8-C9-M1-C2-C7; D9-C9-M1-C2-C7; D1-C1-M1-C2-C8; D2-C1-M1-C2-C8; D3-C1-M1-C2-C8; D4-C1-M1-C2-C8; D5-C1-M1-C2-C8; D6-C1-M1-C2-C8; D7-C1-M1-C2-C8; D8-C1-M1-C2-C8; D9-C1-M1-C2-C8; D1-C2-M1-C2-C8; D2-C2-M1-C2-C8; D3-C2-M1-C2-C8; D4-C2-M1-C2-C8; D5-C2-M1-C2-C8; D6-C2-M1-C2-C8; D7-C2-M1-C2-C8; D8-C2-M1-C2-C8; D9-C2-M1-C2-C8; D1-C3-M1-C2-C8; D2-C3-M1-C2-C8; D3-C3-M1-C2-C8; D4-C3-M1-C2-C8; D5-C3-M1-C2-C8; D6-C3-M1-C2-C8; D7-C3-M1-C2-C8; D8-C3-M1-C2-C8; D9-C3-M1-C2-C8; D1-C4-M1-C2-C8; D2-C4-M1-C2-C8; D3-C4-M1-C2-C8; D4-C4-M1-C2-C8; D5-C4-M1-C2-C8; D6-C4-M1-C2-C8; D7-C4-M1-C2-C8; D8-C4-M1-C2-C8; D9-C4-M1-C2-C8; D1-C5-M1-C2-C8; D2-C5-M1-C2-C8; D3-C5-M1-C2-C8; D4-C5-M1-C2-C8; D5-C5-M1-C2-C8; D6-C5-M1-C2-C8; D7-C5-M1-C2-C8; D8-C5-M1-C2-C8; D9-C5-M1-C2-C8; D1-C6-M1-C2-C8; D2-C6-M1-C2-C8; D3-C6-M1-C2-C8; D4-C6-M1-C2-C8; D5-C6-M1-C2-C8; D6-C6-M1-C2-C8; D7-C6-M1-C2-C8; D8-C6-M1-C2-C8; D9-C6-M1-C2-C8; D1-C7-M1-C2-C8; D2-C7-M1-C2-C8; D3-C7-M1-C2-C8; D4-C7-M1-C2-C8; D5-C7-M1-C2-C8; D6-C7-M1-C2-C8; D7-C7-M1-C2-C8; D8-C7-M1-C2-C8; D9-C7-M1-C2-C8; D1-C8-M1-C2-C8; D2-C8-M1-C2-C8; D3-C8-M1-C2-C8; D4-C8-M1-C2-C8; D5-C8-M1-C2-C8; D6-C8-M1-C2-C8; D7-C8-M1-C2-C8; D8-C8-M1-C2-C8; D9-C8-M1-C2-C8; D1-C9-M1-C2-C8; D2-C9-M1-C2-C8; D3-C9-M1-C2-C8; D4-C9-M1-C2-C8; D5-C9-M1-C2-C8; D6-C9-M1-C2-C8; D7-C9-M1-C2-C8; D8-C9-M1-C2-C8; D9-C9-M1-C2-C8; D1-C1-M1-C2-C9; D2-C1-M1-C2-C9; D3-C1-M1-C2-C9; D4-C1-M1-C2-C9; D5-C1-M1-C2-C9; D6-C1-M1-C2-C9; D7-C1-M1-C2-C9; D8-C1-M1-C2-C9; D9-C1-M1-C2-C9; D1-C2-M1-C2-C9; D2-C2-M1-C2-C9; D3-C2-M1-C2-C9; D4-C2-M1-C2-C9; D5-C2-M1-C2-C9; D6-C2-M1-C2-C9; D7-C2-M1-C2-C9; D8-C2-M1-C2-C9; D9-C2-M1-C2-C9; D1-C3-M1-C2-C9; D2-C3-M1-C2-C9; D3-C3-M1-C2-C9; D4-C3-M1-C2-C9; D5-C3-M1-C2-C9; D6-C3-M1-C2-C9; D7-C3-M1-C2-C9; D8-C3-M1-C2-C9; D9-C3-M1-C2-C9; D1-C4-M1-C2-C9; D2-C4-M1-C2-C9; D3-C4-M1-C2-C9; D4-C4-M1-C2-C9; D5-C4-M1-C2-C9; D6-C4-M1-C2-C9; D7-C4-M1-C2-C9; D8-C4-M1-C2-C9; D9-C4-M1-C2-C9; D1-C5-M1-C2-C9; D2-C5-M1-C2-C9; D3-C5-M1-C2-C9; D4-C5-M1-C2-C9; D5-C5-M1-C2-C9; D6-C5-M1-C2-C9; D7-C5-M1-C2-C9; D8-C5-M1-C2-C9; D9-C5-M1-C2-C9; D1-C6-M1-C2-C9; D2-C6-M1-C2-C9; D3-C6-M1-C2-C9; D4-C6-M1-C2-C9; D5-C6-M1-C2-C9; D6-C6-M1-C2-C9; D7-C6-M1-C2-C9; D8-C6-M1-C2-C9; D9-C6-M1-C2-C9; D1-C7-M1-C2-C9; D2-C7-M1-C2-C9; D3-C7-M1-C2-C9; D4-C7-M1-C2-C9; D5-C7-M1-C2-C9; D6-C7-M1-C2-C9; D7-C7-M1-C2-C9; D8-C7-M1-C2-C9; D9-C7-M1-C2-C9; D1-C8-M1-C2-C9; D2-C8-M1-C2-C9; D3-C8-M1-C2-C9; D4-C8-M1-C2-C9; D5-C8-M1-C2-C9; D6-C8-M1-C2-C9; D7-C8-M1-C2-C9; D8-C8-M1-C2-C9; D9-C8-M1-C2-C9; D1-C9-M1-C2-C9; D2-C9-M1-C2-C9; D3-C9-M1-C2-C9; D4-C9-M1-C2-C9; D5-C9-M1-C2-C9; D6-C9-M1-C2-C9; D7-C9-M1-C2-C9; D8-C9-M1-C2-C9; D9-C9-M1-C2-C9; D1-C1-M1-C3-C1; D2-C1-M1-C3-C1; D3-C1-M1-C3-C1; D4-C1-M1-C3-C1; D5-C1-M1-C3-C1; D6-C1-M1-C3-C1; D7-C1-M1-C3-C1; D8-C1-M1-C3-C1; D9-C1-M1-C3-C1; D1-C2-M1-C3-C1; D2-C2-M1-C3-C1; D3-C2-M1-C3-C1; D4-C2-M1-C3-C1; D5-C2-M1-C3-C1; D6-C2-M1-C3-C1; D7-C2-M1-C3-C1; D8-C2-M1-C3-C1; D9-C2-M1-C3-C1; D1-C3-M1-C3-C1; D2-C3-M1-C3-C1; D3-C3-M1-C3-C1; D4-C3-M1-C3-C1; D5-C3-M1-C3-C1; D6-C3-M1-C3-C1; D7-C3-M1-C3-C1; D8-C3-M1-C3-C1; D9-C3-M1-C3-C1; D1-C4-M1-C3-C1; D2-C4-M1-C3-C1; D3-C4-M1-C3-C1; D4-C4-M1-C3-C1; D5-C4-M1-C3-C1; D6-C4-M1-C3-C1; D7-C4-M1-C3-C1; D8-C4-M1-C3-C1; D9-C4-M1-C3-C1; D1-C5-M1-C3-C1; D2-C5-M1-C3-C1; D3-C5-M1-C3-C1; D4-C5-M1-C3-C1; D5-C5-M1-C3-C1; D6-C5-M1-C3-C1; D7-C5-M1-C3-C1; D8-C5-M1-C3-C1; D9-C5-M1-C3-C1; D1-C6-M1-C3-C1; D2-C6-M1-C3-C1; D3-C6-M1-C3-C1; D4-C6-M1-C3-C1; D5-C6-M1-C3-C1; D6-C6-M1-C3-C1; D7-C6-M1-C3-C1; D8-C6-M1-C3-C1; D9-C6-M1-C3-C1; D1-C7-M1-C3-C1; D2-C7-M1-C3-C1; D3-C7-M1-C3-C1; D4-C7-M1-C3-C1; D5-C7-M1-C3-C1; D6-C7-M1-C3-C1; D7-C7-M1-C3-C1; D8-C7-M1-C3-C1; D9-C7-M1-C3-C1; D1-C8-M1-C3-C1; D2-C8-M1-C3-C1; D3-C8-M1-C3-C1; D4-C8-M1-C3-C1; D5-C8-M1-C3-C1; D6-C8-M1-C3-C1; D7-C8-M1-C3-C1; D8-C8-M1-C3-C1; D9-C8-M1-C3-C1; D1-C9-M1-C3-C1; D2-C9-M1-C3-C1; D3-C9-M1-C3-C1; D4-C9-M1-C3-C1; D5-C9-M1-C3-C1; D6-C9-M1-C3-C1; D7-C9-M1-C3-C1; D8-C9-M1-C3-C1; D9-C9-M1-C3-C1; D1-C1-M1-C3-C2; D2-C1-M1-C3-C2; D3-C1-M1-C3-C2; D4-C1-M1-C3-C2; D5-C1-M1-C3-C2; D6-C1-M1-C3-C2; D7-C1-M1-C3-C2; D8-C1-M1-C3-C2; D9-C1-M1-C3-C2; D1-C2-M1-C3-C2; D2-C2-M1-C3-C2; D3-C2-M1-C3-C2; D4-C2-M1-C3-C2; D5-C2-M1-C3-C2; D6-C2-M1-C3-C2; D7-C2-M1-C3-C2; D8-C2-M1-C3-C2; D9-C2-M1-C3-C2; D1-C3-M1-C3-C2; D2-C3-M1-C3-C2; D3-C3-M1-C3-C2; D4-C3-M1-C3-C2; D5-C3-M1-C3-C2; D6-C3-M1-C3-C2; D7-C3-M1-C3-C2; D8-C3-M1-C3-C2; D9-C3-M1-C3-C2; D1-C4-M1-C3-C2; D2-C4-M1-C3-C2; D3-C4-M1-C3-C2; D4-C4-M1-C3-C2; D5-C4-M1-C3-C2; D6-C4-M1-C3-C2; D7-C4-M1-C3-C2; D8-C4-M1-C3-C2; D9-C4-M1-C3-C2; D1-C5-M1-C3-C2; D2-C5-M1-C3-C2; D3-C5-M1-C3-C2; D4-C5-M1-C3-C2; D5-C5-M1-C3-C2; D6-C5-M1-C3-C2; D7-C5-M1-C3-C2; D8-C5-M1-C3-C2; D9-C5-M1-C3-C2; D1-C6-M1-C3-C2; D2-C6-M1-C3-C2; D3-C6-M1-C3-C2; D4-C6-M1-C3-C2; D5-C6-M1-C3-C2; D6-C6-M1-C3-C2; D7-C6-M1-C3-C2; D8-C6-M1-C3-C2; D9-C6-M1-C3-C2; D1-C7-M1-C3-C2; D2-C7-M1-C3-C2; D3-C7-M1-C3-C2; D4-C7-M1-C3-C2; D5-C7-M1-C3-C2; D6-C7-M1-C3-C2; D7-C7-M1-C3-C2; D8-C7-M1-C3-C2; D9-C7-M1-C3-C2; D1-C8-M1-C3-C2; D2-C8-M1-C3-C2; D3-C8-M1-C3-C2; D4-C8-M1-C3-C2; D5-C8-M1-C3-C2; D6-C8-M1-C3-C2; D7-C8-M1-C3-C2; D8-C8-M1-C3-C2; D9-C8-M1-C3-C2; D1-C9-M1-C3-C2; D2-C9-M1-C3-C2; D3-C9-M1-C3-C2; D4-C9-M1-C3-C2; D5-C9-M1-C3-C2; D6-C9-M1-C3-C2; D7-C9-M1-C3-C2; D8-C9-M1-C3-C2; D9-C9-M1-C3-C2; D1-C1-M1-C3-C3; D2-C1-M1-C3-C3; D3-C1-M1-C3-C3; D4-C1-M1-C3-C3; D5-C1-M1-C3-C3; D6-C1-M1-C3-C3; D7-C1-M1-C3-C3; D8-C1-M1-C3-C3; D9-C1-M1-C3-C3; D1-C2-M1-C3-C3; D2-C2-M1-C3-C3; D3-C2-M1-C3-C3; D4-C2-M1-C3-C3; D5-C2-M1-C3-C3; D6-C2-M1-C3-C3; D7-C2-M1-C3-C3; D8-C2-M1-C3-C3; D9-C2-M1-C3-C3; D1-C3-M1-C3-C3; D2-C3-M1-C3-C3; D3-C3-M1-C3-C3; D4-C3-M1-C3-C3; D5-C3-M1-C3-C3; D6-C3-M1-C3-C3; D7-C3-M1-C3-C3; D8-C3-M1-C3-C3; D9-C3-M1-C3-C3; D1-C4-M1-C3-C3; D2-C4-M1-C3-C3; D3-C4-M1-C3-C3; D4-C4-M1-C3-C3; D5-C4-M1-C3-C3; D6-C4-M1-C3-C3; D7-C4-M1-C3-C3; D8-C4-M1-C3-C3; D9-C4-M1-C3-C3; D1-C5-M1-C3-C3; D2-C5-M1-C3-C3; D3-C5-M1-C3-C3; D4-C5-M1-C3-C3; D5-C5-M1-C3-C3; D6-C5-M1-C3-C3; D7-C5-M1-C3-C3; D8-C5-M1-C3-C3; D9-C5-M1-C3-C3; D1-C6-M1-C3-C3; D2-C6-M1-C3-C3; D3-C6-M1-C3-C3; D4-C6-M1-C3-C3; D5-C6-M1-C3-C3; D6-C6-M1-C3-C3; D7-C6-M1-C3-C3; D8-C6-M1-C3-C3; D9-C6-M1-C3-C3; D1-C7-M1-C3-C3; D2-C7-M1-C3-C3; D3-C7-M1-C3-C3; D4-C7-M1-C3-C3; D5-C7-M1-C3-C3; D6-C7-M1-C3-C3; D7-C7-M1-C3-C3; D8-C7-M1-C3-C3; D9-C7-M1-C3-C3; D1-C8-M1-C3-C3; D2-C8-M1-C3-C3; D3-C8-M1-C3-C3; D4-C8-M1-C3-C3; D5-C8-M1-C3-C3; D6-C8-M1-C3-C3; D7-C8-M1-C3-C3; D8-C8-M1-C3-C3; D9-C8-M1-C3-C3; D1-C9-M1-C3-C3; D2-C9-M1-C3-C3; D3-C9-M1-C3-C3; D4-C9-M1-C3-C3; D5-C9-M1-C3-C3; D6-C9-M1-C3-C3; D7-C9-M1-C3-C3; D8-C9-M1-C3-C3; D9-C9-M1-C3-C3; D1-C1-M1-C3-C4; D2-C1-M1-C3-C4; D3-C1-M1-C3-C4; D4-C1-M1-C3-C4; D5-C1-M1-C3-C4; D6-C1-M1-C3-C4; D7-C1-M1-C3-C4; D8-C1-M1-C3-C4; D9-C1-M1-C3-C4; D1-C2-M1-C3-C4; D2-C2-M1-C3-C4; D3-C2-M1-C3-C4; D4-C2-M1-C3-C4; D5-C2-M1-C3-C4; D6-C2-M1-C3-C4; D7-C2-M1-C3-C4; D8-C2-M1-C3-C4; D9-C2-M1-C3-C4; D1-C3-M1-C3-C4; D2-C3-M1-C3-C4; D3-C3-M1-C3-C4; D4-C3-M1-C3-C4; D5-C3-M1-C3-C4; D6-C3-M1-C3-C4; D7-C3-M1-C3-C4; D8-C3-M1-C3-C4; D9-C3-M1-C3-C4; D1-C4-M1-C3-C4; D2-C4-M1-C3-C4; D3-C4-M1-C3-C4; D4-C4-M1-C3-C4; D5-C4-M1-C3-C4; D6-C4-M1-C3-C4; D7-C4-M1-C3-C4; D8-C4-M1-C3-C4; D9-C4-M1-C3-C4; D1-C5-M1-C3-C4; D2-C5-M1-C3-C4; D3-C5-M1-C3-C4; D4-C5-M1-C3-C4; D5-C5-M1-C3-C4; D6-C5-M1-C3-C4; D7-C5-M1-C3-C4; D8-C5-M1-C3-C4; D9-C5-M1-C3-C4; D1-C6-M1-C3-C4; D2-C6-M1-C3-C4; D3-C6-M1-C3-C4; D4-C6-M1-C3-C4; D5-C6-M1-C3-C4; D6-C6-M1-C3-C4; D7-C6-M1-C3-C4; D8-C6-M1-C3-C4; D9-C6-M1-C3-C4; D1-C7-M1-C3-C4; D2-C7-M1-C3-C4; D3-C7-M1-C3-C4; D4-C7-M1-C3-C4; D5-C7-M1-C3-C4; D6-C7-M1-C3-C4; D7-C7-M1-C3-C4; D8-C7-M1-C3-C4; D9-C7-M1-C3-C4; D1-C8-M1-C3-C4; D2-C8-M1-C3-C4; D3-C8-M1-C3-C4; D4-C8-M1-C3-C4; D5-C8-M1-C3-C4; D6-C8-M1-C3-C4; D7-C8-M1-C3-C4; D8-C8-M1-C3-C4; D9-C8-M1-C3-C4; D1-C9-M1-C3-C4; D2-C9-M1-C3-C4; D3-C9-M1-C3-C4; D4-C9-M1-C3-C4; D5-C9-M1-C3-C4; D6-C9-M1-C3-C4; D7-C9-M1-C3-C4; D8-C9-M1-C3-C4; D9-C9-M1-C3-C4; D1-C1-M1-C3-C5; D2-C1-M1-C3-C5; D3-C1-M1-C3-C5; D4-C1-M1-C3-C5; D5-C1-M1-C3-C5; D6-C1-M1-C3-C5; D7-C1-M1-C3-C5; D8-C1-M1-C3-C5; D9-C1-M1-C3-C5; D1-C2-M1-C3-C5; D2-C2-M1-C3-C5; D3-C2-M1-C3-C5; D4-C2-M1-C3-C5; D5-C2-M1-C3-C5; D6-C2-M1-C3-C5; D7-C2-M1-C3-C5; D8-C2-M1-C3-C5; D9-C2-M1-C3-C5; D1-C3-M1-C3-C5; D2-C3-M1-C3-C5; D3-C3-M1-C3-C5; D4-C3-M1-C3-C5; D5-C3-M1-C3-C5; D6-C3-M1-C3-C5; D7-C3-M1-C3-C5; D8-C3-M1-C3-C5; D9-C3-M1-C3-C5; D1-C4-M1-C3-C5; D2-C4-M1-C3-C5; D3-C4-M1-C3-C5; D4-C4-M1-C3-C5; D5-C4-M1-C3-C5; D6-C4-M1-C3-C5; D7-C4-M1-C3-C5; D8-C4-M1-C3-C5; D9-C4-M1-C3-C5; D1-C5-M1-C3-C5; D2-C5-M1-C3-C5; D3-C5-M1-C3-C5; D4-C5-M1-C3-C5; D5-C5-M1-C3-C5; D6-C5-M1-C3-C5; D7-C5-M1-C3-C5; D8-C5-M1-C3-C5; D9-C5-M1-C3-C5; D1-C6-M1-C3-C5; D2-C6-M1-C3-C5; D3-C6-M1-C3-C5; D4-C6-M1-C3-C5; D5-C6-M1-C3-C5; D6-C6-M1-C3-C5; D7-C6-M1-C3-C5; D8-C6-M1-C3-C5; D9-C6-M1-C3-C5; D1-C7-M1-C3-C5; D2-C7-M1-C3-C5; D3-C7-M1-C3-C5; D4-C7-M1-C3-C5; D5-C7-M1-C3-C5; D6-C7-M1-C3-C5; D7-C7-M1-C3-C5; D8-C7-M1-C3-C5; D9-C7-M1-C3-C5; D1-C8-M1-C3-C5; D2-C8-M1-C3-C5; D3-C8-M1-C3-C5; D4-C8-M1-C3-C5; D5-C8-M1-C3-C5; D6-C8-M1-C3-C5; D7-C8-M1-C3-C5; D8-C8-M1-C3-C5; D9-C8-M1-C3-C5; D1-C9-M1-C3-C5; D2-C9-M1-C3-C5; D3-C9-M1-C3-C5; D4-C9-M1-C3-C5; D5-C9-M1-C3-C5; D6-C9-M1-C3-C5; D7-C9-M1-C3-C5; D8-C9-M1-C3-C5; D9-C9-M1-C3-C5; D1-C1-M1-C3-C6; D2-C1-M1-C3-C6; D3-C1-M1-C3-C6; D4-C1-M1-C3-C6; D5-C1-M1-C3-C6; D6-C1-M1-C3-C6; D7-C1-M1-C3-C6; D8-C1-M1-C3-C6; D9-C1-M1-C3-C6; D1-C2-M1-C3-C6; D2-C2-M1-C3-C6; D3-C2-M1-C3-C6; D4-C2-M1-C3-C6; D5-C2-M1-C3-C6; D6-C2-M1-C3-C6; D7-C2-M1-C3-C6; D8-C2-M1-C3-C6; D9-C2-M1-C3-C6; D1-C3-M1-C3-C6; D2-C3-M1-C3-C6; D3-C3-M1-C3-C6; D4-C3-M1-C3-C6; D5-C3-M1-C3-C6; D6-C3-M1-C3-C6; D7-C3-M1-C3-C6; D8-C3-M1-C3-C6; D9-C3-M1-C3-C6; D1-C4-M1-C3-C6; D2-C4-M1-C3-C6; D3-C4-M1-C3-C6; D4-C4-M1-C3-C6; D5-C4-M1-C3-C6; D6-C4-M1-C3-C6; D7-C4-M1-C3-C6; D8-C4-M1-C3-C6; D9-C4-M1-C3-C6; D1-C5-M1-C3-C6; D2-C5-M1-C3-C6; D3-C5-M1-C3-C6; D4-C5-M1-C3-C6; D5-C5-M1-C3-C6; D6-C5-M1-C3-C6; D7-C5-M1-C3-C6; D8-C5-M1-C3-C6; D9-C5-M1-C3-C6; D1-C6-M1-C3-C6; D2-C6-M1-C3-C6; D3-C6-M1-C3-C6; D4-C6-M1-C3-C6; D5-C6-M1-C3-C6; D6-C6-M1-C3-C6; D7-C6-M1-C3-C6; D8-C6-M1-C3-C6; D9-C6-M1-C3-C6; D1-C7-M1-C3-C6; D2-C7-M1-C3-C6; D3-C7-M1-C3-C6; D4-C7-M1-C3-C6; D5-C7-M1-C3-C6; D6-C7-M1-C3-C6; D7-C7-M1-C3-C6; D8-C7-M1-C3-C6; D9-C7-M1-C3-C6; D1-C8-M1-C3-C6; D2-C8-M1-C3-C6; D3-C8-M1-C3-C6; D4-C8-M1-C3-C6; D5-C8-M1-C3-C6; D6-C8-M1-C3-C6; D7-C8-M1-C3-C6; D8-C8-M1-C3-C6; D9-C8-M1-C3-C6; D1-C9-M1-C3-C6; D2-C9-M1-C3-C6; D3-C9-M1-C3-C6; D4-C9-M1-C3-C6; D5-C9-M1-C3-C6; D6-C9-M1-C3-C6; D7-C9-M1-C3-C6; D8-C9-M1-C3-C6; D9-C9-M1-C3-C6; D1-C1-M1-C3-C7; D2-C1-M1-C3-C7; D3-C1-M1-C3-C7; D4-C1-M1-C3-C7; D5-C1-M1-C3-C7; D6-C1-M1-C3-C7; D7-C1-M1-C3-C7; D8-C1-M1-C3-C7; D9-C1-M1-C3-C7; D1-C2-M1-C3-C7; D2-C2-M1-C3-C7; D3-C2-M1-C3-C7; D4-C2-M1-C3-C7; D5-C2-M1-C3-C7; D6-C2-M1-C3-C7; D7-C2-M1-C3-C7; D8-C2-M1-C3-C7; D9-C2-M1-C3-C7; D1-C3-M1-C3-C7; D2-C3-M1-C3-C7; D3-C3-M1-C3-C7; D4-C3-M1-C3-C7; D5-C3-M1-C3-C7; D6-C3-M1-C3-C7; D7-C3-M1-C3-C7; D8-C3-M1-C3-C7; D9-C3-M1-C3-C7; D1-C4-M1-C3-C7; D2-C4-M1-C3-C7; D3-C4-M1-C3-C7; D4-C4-M1-C3-C7; D5-C4-M1-C3-C7; D6-C4-M1-C3-C7; D7-C4-M1-C3-C7; D8-C4-M1-C3-C7; D9-C4-M1-C3-C7; D1-C5-M1-C3-C7; D2-C5-M1-C3-C7; D3-C5-M1-C3-C7; D4-C5-M1-C3-C7; D5-C5-M1-C3-C7; D6-C5-M1-C3-C7; D7-C5-M1-C3-C7; D8-C5-M1-C3-C7; D9-C5-M1-C3-C7; D1-C6-M1-C3-C7; D2-C6-M1-C3-C7; D3-C6-M1-C3-C7; D4-C6-M1-C3-C7; D5-C6-M1-C3-C7; D6-C6-M1-C3-C7; D7-C6-M1-C3-C7; D8-C6-M1-C3-C7; D9-C6-M1-C3-C7; D1-C7-M1-C3-C7; D2-C7-M1-C3-C7;
The last 2000 arrangements are:
. . . ; C3-C7-C9-C3-D8; C3-C7-C9-C3-D9; C3-C7-C9-C4-D1; C3-C7-C9-C4-D2; C3-C7-C9-C4-D3; C3-C7-C9-C4-D4; C3-C7-C9-C4-D5; C3-C7-C9-C4-D6; C3-C7-C9-C4-D7; C3-C7-C9-C4-D8; C3-C7-C9-C4-D9; C3-C7-C9-C5-D1; C3-C7-C9-C5-D2; C3-C7-C9-C5-D3; C3-C7-C9-C5-D4; C3-C7-C9-C5-D5; C3-C7-C9-C5-D6; C3-C7-C9-C5-D7; C3-C7-C9-C5-D8; C3-C7-C9-C5-D9; C3-C7-C9-C6-D1; C3-C7-C9-C6-D2; C3-C7-C9-C6-D3; C3-C7-C9-C6-D4; C3-C7-C9-C6-D5; C3-C7-C9-C6-D6; C3-C7-C9-C6-D7; C3-C7-C9-C6-D8; C3-C7-C9-C6-D9; C3-C7-C9-C7-D1; C3-C7-C9-C7-D2; C3-C7-C9-C7-D3; C3-C7-C9-C7-D4; C3-C7-C9-C7-D5; C3-C7-C9-C7-D6; C3-C7-C9-C7-D7; C3-C7-C9-C7-D8; C3-C7-C9-C7-D9; C3-C7-C9-C8-D1; C3-C7-C9-C8-D2; C3-C7-C9-C8-D3; C3-C7-C9-C8-D4; C3-C7-C9-C8-D5; C3-C7-C9-C8-D6; C3-C7-C9-C8-D7; C3-C7-C9-C8-D8; C3-C7-C9-C8-D9; C3-C7-C9-C9-D1; C3-C7-C9-C9-D2; C3-C7-C9-C9-D3; C3-C7-C9-C9-D4; C3-C7-C9-C9-D5; C3-C7-C9-C9-D6; C3-C7-C9-C9-D7; C3-C7-C9-C9-D8; C3-C7-C9-C9-D9; C4-C7-C9-C1-D1; C4-C7-C9-C1-D2; C4-C7-C9-C1-D3; C4-C7-C9-C1-D4; C4-C7-C9-C1-D5; C4-C7-C9-C1-D6; C4-C7-C9-C1-D7; C4-C7-C9-C1-D8; C4-C7-C9-C1-D9; C4-C7-C9-C2-D1; C4-C7-C9-C2-D2; C4-C7-C9-C2-D3; C4-C7-C9-C2-D4; C4-C7-C9-C2-D5; C4-C7-C9-C2-D6; C4-C7-C9-C2-D7; C4-C7-C9-C2-D8; C4-C7-C9-C2-D9; C4-C7-C9-C3-D1; C4-C7-C9-C3-D2; C4-C7-C9-C3-D3; C4-C7-C9-C3-D4; C4-C7-C9-C3-D5; C4-C7-C9-C3-D6; C4-C7-C9-C3-D7; C4-C7-C9-C3-D8; C4-C7-C9-C3-D9; C4-C7-C9-C4-D1; C4-C7-C9-C4-D2; C4-C7-C9-C4-D3; C4-C7-C9-C4-D4; C4-C7-C9-C4-D5; C4-C7-C9-C4-D6; C4-C7-C9-C4-D7; C4-C7-C9-C4-D8; C4-C7-C9-C4-D9; C4-C7-C9-C5-D1; C4-C7-C9-C5-D2; C4-C7-C9-C5-D3; C4-C7-C9-C5-D4; C4-C7-C9-C5-D5; C4-C7-C9-C5-D6; C4-C7-C9-C5-D7; C4-C7-C9-C5-D8; C4-C7-C9-C5-D9; C4-C7-C9-C6-D1; C4-C7-C9-C6-D2; C4-C7-C9-C6-D3; C4-C7-C9-C6-D4; C4-C7-C9-C6-D5; C4-C7-C9-C6-D6; C4-C7-C9-C6-D7; C4-C7-C9-C6-D8; C4-C7-C9-C6-D9; C4-C7-C9-C7-D1; C4-C7-C9-C7-D2; C4-C7-C9-C7-D3; C4-C7-C9-C7-D4; C4-C7-C9-C7-D5; C4-C7-C9-C7-D6; C4-C7-C9-C7-D7; C4-C7-C9-C7-D8; C4-C7-C9-C7-D9; C4-C7-C9-C8-D1; C4-C7-C9-C8-D2; C4-C7-C9-C8-D3; C4-C7-C9-C8-D4; C4-C7-C9-C8-D5; C4-C7-C9-C8-D6; C4-C7-C9-C8-D7; C4-C7-C9-C8-D8; C4-C7-C9-C8-D9; C4-C7-C9-C9-D1; C4-C7-C9-C9-D2; C4-C7-C9-C9-D3; C4-C7-C9-C9-D4; C4-C7-C9-C9-D5; C4-C7-C9-C9-D6; C4-C7-C9-C9-D7; C4-C7-C9-C9-D8; C4-C7-C9-C9-D9; C5-C7-C9-C1-D1; C5-C7-C9-C1-D2; C5-C7-C9-C1-D3; C5-C7-C9-C1-D4; C5-C7-C9-C1-D5; C5-C7-C9-C1-D6; C5-C7-C9-C1-D7; C5-C7-C9-C1-D8; C5-C7-C9-C1-D9; C5-C7-C9-C2-D1; C5-C7-C9-C2-D2; C5-C7-C9-C2-D3; C5-C7-C9-C2-D4; C5-C7-C9-C2-D5; C5-C7-C9-C2-D6; C5-C7-C9-C2-D7; C5-C7-C9-C2-D8; C5-C7-C9-C2-D9; C5-C7-C9-C3-D1; C5-C7-C9-C3-D2; C5-C7-C9-C3-D3; C5-C7-C9-C3-D4; C5-C7-C9-C3-D5; C5-C7-C9-C3-D6; C5-C7-C9-C3-D7; C5-C7-C9-C3-D8; C5-C7-C9-C3-D9; C5-C7-C9-C4-D1; C5-C7-C9-C4-D2; C5-C7-C9-C4-D3; C5-C7-C9-C4-D4; C5-C7-C9-C4-D5; C5-C7-C9-C4-D6; C5-C7-C9-C4-D7; C5-C7-C9-C4-D8; C5-C7-C9-C4-D9; C5-C7-C9-C5-D1; C5-C7-C9-C5-D2; C5-C7-C9-C5-D3; C5-C7-C9-C5-D4; C5-C7-C9-C5-D5; C5-C7-C9-C5-D6; C5-C7-C9-C5-D7; C5-C7-C9-C5-D8; C5-C7-C9-C5-D9; C5-C7-C9-C6-D1; C5-C7-C9-C6-D2; C5-C7-C9-C6-D3; C5-C7-C9-C6-D4; C5-C7-C9-C6-D5; C5-C7-C9-C6-D6; C5-C7-C9-C6-D7; C5-C7-C9-C6-D8; C5-C7-C9-C6-D9; C5-C7-C9-C7-D1; C5-C7-C9-C7-D2; C5-C7-C9-C7-D3; C5-C7-C9-C7-D4; C5-C7-C9-C7-D5; C5-C7-C9-C7-D6; C5-C7-C9-C7-D7; C5-C7-C9-C7-D8; C5-C7-C9-C7-D9; C5-C7-C9-C8-D1; C5-C7-C9-C8-D2; C5-C7-C9-C8-D3; C5-C7-C9-C8-D4; C5-C7-C9-C8-D5; C5-C7-C9-C8-D6; C5-C7-C9-C8-D7; C5-C7-C9-C8-D8; C5-C7-C9-C8-D9; C5-C7-C9-C9-D1; C5-C7-C9-C9-D2; C5-C7-C9-C9-D3; C5-C7-C9-C9-D4; C5-C7-C9-C9-D5; C5-C7-C9-C9-D6; C5-C7-C9-C9-D7; C5-C7-C9-C9-D8; C5-C7-C9-C9-D9; C6-C7-C9-C1-D1; C6-C7-C9-C1-D2; C6-C7-C9-C1-D3; C6-C7-C9-C1-D4; C6-C7-C9-C1-D5; C6-C7-C9-C1-D6; C6-C7-C9-C1-D7; C6-C7-C9-C1-D8; C6-C7-C9-C1-D9; C6-C7-C9-C2-D1; C6-C7-C9-C2-D2; C6-C7-C9-C2-D3; C6-C7-C9-C2-D4; C6-C7-C9-C2-D5; C6-C7-C9-C2-D6; C6-C7-C9-C2-D7; C6-C7-C9-C2-D8; C6-C7-C9-C2-D9; C6-C7-C9-C3-D1; C6-C7-C9-C3-D2; C6-C7-C9-C3-D3; C6-C7-C9-C3-D4; C6-C7-C9-C3-D5; C6-C7-C9-C3-D6; C6-C7-C9-C3-D7; C6-C7-C9-C3-D8; C6-C7-C9-C3-D9; C6-C7-C9-C4-D1; C6-C7-C9-C4-D2; C6-C7-C9-C4-D3; C6-C7-C9-C4-D4; C6-C7-C9-C4-D5; C6-C7-C9-C4-D6; C6-C7-C9-C4-D7; C6-C7-C9-C4-D8; C6-C7-C9-C4-D9; C6-C7-C9-C5-D1; C6-C7-C9-C5-D2; C6-C7-C9-C5-D3; C6-C7-C9-C5-D4; C6-C7-C9-C5-D5; C6-C7-C9-C5-D6; C6-C7-C9-C5-D7; C6-C7-C9-C5-D8; C6-C7-C9-C5-D9; C6-C7-C9-C6-D1; C6-C7-C9-C6-D2; C6-C7-C9-C6-D3; C6-C7-C9-C6-D4; C6-C7-C9-C6-D5; C6-C7-C9-C6-D6; C6-C7-C9-C6-D7; C6-C7-C9-C6-D8; C6-C7-C9-C6-D9; C6-C7-C9-C7-D1; C6-C7-C9-C7-D2; C6-C7-C9-C7-D3; C6-C7-C9-C7-D4; C6-C7-C9-C7-D5; C6-C7-C9-C7-D6; C6-C7-C9-C7-D7; C6-C7-C9-C7-D8; C6-C7-C9-C7-D9; C6-C7-C9-C8-D1; C6-C7-C9-C8-D2; C6-C7-C9-C8-D3; C6-C7-C9-C8-D4; C6-C7-C9-C8-D5; C6-C7-C9-C8-D6; C6-C7-C9-C8-D7; C6-C7-C9-C8-D8; C6-C7-C9-C8-D9; C6-C7-C9-C9-D1; C6-C7-C9-C9-D2; C6-C7-C9-C9-D3; C6-C7-C9-C9-D4; C6-C7-C9-C9-D5; C6-C7-C9-C9-D6; C6-C7-C9-C9-D7; C6-C7-C9-C9-D8; C6-C7-C9-C9-D9; C7-C7-C9-C1-D1; C7-C7-C9-C1-D2; C7-C7-C9-C1-D3; C7-C7-C9-C1-D4; C7-C7-C9-C1-D5; C7-C7-C9-C1-D6; C7-C7-C9-C1-D7; C7-C7-C9-C1-D8; C7-C7-C9-C1-D9; C7-C7-C9-C2-D1; C7-C7-C9-C2-D2; C7-C7-C9-C2-D3; C7-C7-C9-C2-D4; C7-C7-C9-C2-D5; C7-C7-C9-C2-D6; C7-C7-C9-C2-D7; C7-C7-C9-C2-D8; C7-C7-C9-C2-D9; C7-C7-C9-C3-D1; C7-C7-C9-C3-D2; C7-C7-C9-C3-D3; C7-C7-C9-C3-D4; C7-C7-C9-C3-D5; C7-C7-C9-C3-D6; C7-C7-C9-C3-D7; C7-C7-C9-C3-D8; C7-C7-C9-C3-D9; C7-C7-C9-C4-D1; C7-C7-C9-C4-D2; C7-C7-C9-C4-D3; C7-C7-C9-C4-D4; C7-C7-C9-C4-D5; C7-C7-C9-C4-D6; C7-C7-C9-C4-D7; C7-C7-C9-C4-D8; C7-C7-C9-C4-D9; C7-C7-C9-C5-D1; C7-C7-C9-C5-D2; C7-C7-C9-C5-D3; C7-C7-C9-C5-D4; C7-C7-C9-C5-D5; C7-C7-C9-C5-D6; C7-C7-C9-C5-D7; C7-C7-C9-C5-D8; C7-C7-C9-C5-D9; C7-C7-C9-C6-D1; C7-C7-C9-C6-D2; C7-C7-C9-C6-D3; C7-C7-C9-C6-D4; C7-C7-C9-C6-D5; C7-C7-C9-C6-D6; C7-C7-C9-C6-D7; C7-C7-C9-C6-D8; C7-C7-C9-C6-D9; C7-C7-C9-C7-D1; C7-C7-C9-C7-D2; C7-C7-C9-C7-D3; C7-C7-C9-C7-D4; C7-C7-C9-C7-D5; C7-C7-C9-C7-D6; C7-C7-C9-C7-D7; C7-C7-C9-C7-D8; C7-C7-C9-C7-D9; C7-C7-C9-C8-D1; C7-C7-C9-C8-D2; C7-C7-C9-C8-D3; C7-C7-C9-C8-D4; C7-C7-C9-C8-D5; C7-C7-C9-C8-D6; C7-C7-C9-C8-D7; C7-C7-C9-C8-D8; C7-C7-C9-C8-D9; C7-C7-C9-C9-D1; C7-C7-C9-C9-D2; C7-C7-C9-C9-D3; C7-C7-C9-C9-D4; C7-C7-C9-C9-D5; C7-C7-C9-C9-D6; C7-C7-C9-C9-D7; C7-C7-C9-C9-D8; C7-C7-C9-C9-D9; C8-C7-C9-C1-D1; C8-C7-C9-C1-D2; C8-C7-C9-C1-D3; C8-C7-C9-C1-D4; C8-C7-C9-C1-D5; C8-C7-C9-C1-D6; C8-C7-C9-C1-D7; C8-C7-C9-C1-D8; C8-C7-C9-C1-D9; C8-C7-C9-C2-D1; C8-C7-C9-C2-D2; C8-C7-C9-C2-D3; C8-C7-C9-C2-D4; C8-C7-C9-C2-D5; C8-C7-C9-C2-D6; C8-C7-C9-C2-D7; C8-C7-C9-C2-D8; C8-C7-C9-C2-D9; C8-C7-C9-C3-D1; C8-C7-C9-C3-D2; C8-C7-C9-C3-D3; C8-C7-C9-C3-D4; C8-C7-C9-C3-D5; C8-C7-C9-C3-D6; C8-C7-C9-C3-D7; C8-C7-C9-C3-D8; C8-C7-C9-C3-D9; C8-C7-C9-C4-D1; C8-C7-C9-C4-D2; C8-C7-C9-C4-D3; C8-C7-C9-C4-D4; C8-C7-C9-C4-D5; C8-C7-C9-C4-D6; C8-C7-C9-C4-D7; C8-C7-C9-C4-D8; C8-C7-C9-C4-D9; C8-C7-C9-C5-D1; C8-C7-C9-C5-D2; C8-C7-C9-C5-D3; C8-C7-C9-C5-D4; C8-C7-C9-C5-D5; C8-C7-C9-C5-D6; C8-C7-C9-C5-D7; C8-C7-C9-C5-D8; C8-C7-C9-C5-D9; C8-C7-C9-C6-D1; C8-C7-C9-C6-D2; C8-C7-C9-C6-D3; C8-C7-C9-C6-D4; C8-C7-C9-C6-D5; C8-C7-C9-C6-D6; C8-C7-C9-C6-D7; C8-C7-C9-C6-D8; C8-C7-C9-C6-D9; C8-C7-C9-C7-D1; C8-C7-C9-C7-D2; C8-C7-C9-C7-D3; C8-C7-C9-C7-D4; C8-C7-C9-C7-D5; C8-C7-C9-C7-D6; C8-C7-C9-C7-D7; C8-C7-C9-C7-D8; C8-C7-C9-C7-D9; C8-C7-C9-C8-D1; C8-C7-C9-C8-D2; C8-C7-C9-C8-D3; C8-C7-C9-C8-D4; C8-C7-C9-C8-D5; C8-C7-C9-C8-D6; C8-C7-C9-C8-D7; C8-C7-C9-C8-D8; C8-C7-C9-C8-D9; C8-C7-C9-C9-D1; C8-C7-C9-C9-D2; C8-C7-C9-C9-D3; C8-C7-C9-C9-D4; C8-C7-C9-C9-D5; C8-C7-C9-C9-D6; C8-C7-C9-C9-D7; C8-C7-C9-C9-D8; C8-C7-C9-C9-D9; C9-C7-C9-C1-D1; C9-C7-C9-C1-D2; C9-C7-C9-C1-D3; C9-C7-C9-C1-D4; C9-C7-C9-C1-D5; C9-C7-C9-C1-D6; C9-C7-C9-C1-D7; C9-C7-C9-C1-D8; C9-C7-C9-C1-D9; C9-C7-C9-C2-D1; C9-C7-C9-C2-D2; C9-C7-C9-C2-D3; C9-C7-C9-C2-D4; C9-C7-C9-C2-D5; C9-C7-C9-C2-D6; C9-C7-C9-C2-D7; C9-C7-C9-C2-D8; C9-C7-C9-C2-D9; C9-C7-C9-C3-D1; C9-C7-C9-C3-D2; C9-C7-C9-C3-D3; C9-C7-C9-C3-D4; C9-C7-C9-C3-D5; C9-C7-C9-C3-D6; C9-C7-C9-C3-D7; C9-C7-C9-C3-D8; C9-C7-C9-C3-D9; C9-C7-C9-C4-D1; C9-C7-C9-C4-D2; C9-C7-C9-C4-D3; C9-C7-C9-C4-D4; C9-C7-C9-C4-D5; C9-C7-C9-C4-D6; C9-C7-C9-C4-D7; C9-C7-C9-C4-D8; C9-C7-C9-C4-D9; C9-C7-C9-C5-D1; C9-C7-C9-C5-D2; C9-C7-C9-C5-D3; C9-C7-C9-C5-D4; C9-C7-C9-C5-D5; C9-C7-C9-C5-D6; C9-C7-C9-C5-D7; C9-C7-C9-C5-D8; C9-C7-C9-C5-D9; C9-C7-C9-C6-D1; C9-C7-C9-C6-D2; C9-C7-C9-C6-D3; C9-C7-C9-C6-D4; C9-C7-C9-C6-D5; C9-C7-C9-C6-D6; C9-C7-C9-C6-D7; C9-C7-C9-C6-D8; C9-C7-C9-C6-D9; C9-C7-C9-C7-D1; C9-C7-C9-C7-D2; C9-C7-C9-C7-D3; C9-C7-C9-C7-D4; C9-C7-C9-C7-D5; C9-C7-C9-C7-D6; C9-C7-C9-C7-D7; C9-C7-C9-C7-D8; C9-C7-C9-C7-D9; C9-C7-C9-C8-D1; C9-C7-C9-C8-D2; C9-C7-C9-C8-D3; C9-C7-C9-C8-D4; C9-C7-C9-C8-D5; C9-C7-C9-C8-D6; C9-C7-C9-C8-D7; C9-C7-C9-C8-D8; C9-C7-C9-C8-D9; C9-C7-C9-C9-D1; C9-C7-C9-C9-D2; C9-C7-C9-C9-D3; C9-C7-C9-C9-D4; C9-C7-C9-C9-D5; C9-C7-C9-C9-D6; C9-C7-C9-C9-D7; C9-C7-C9-C9-D8; C9-C7-C9-C9-D9; C1-C8-C9-C1-D1; C1-C8-C9-C1-D2; C1-C8-C9-C1-D3; C1-C8-C9-C1-D4; C1-C8-C9-C1-D5; C1-C8-C9-C1-D6; C1-C8-C9-C1-D7; C1-C8-C9-C1-D8; C1-C8-C9-C1-D9; C1-C8-C9-C2-D1; C1-C8-C9-C2-D2; C1-C8-C9-C2-D3; C1-C8-C9-C2-D4; C1-C8-C9-C2-D5; C1-C8-C9-C2-D6; C1-C8-C9-C2-D7; C1-C8-C9-C2-D8; C1-C8-C9-C2-D9; C1-C8-C9-C3-D1; C1-C8-C9-C3-D2; C1-C8-C9-C3-D3; C1-C8-C9-C3-D4; C1-C8-C9-C3-D5; C1-C8-C9-C3-D6; C1-C8-C9-C3-D7; C1-C8-C9-C3-D8; C1-C8-C9-C3-D9; C1-C8-C9-C4-D1; C1-C8-C9-C4-D2; C1-C8-C9-C4-D3; C1-C8-C9-C4-D4; C1-C8-C9-C4-D5; C1-C8-C9-C4-D6; C1-C8-C9-C4-D7; C1-C8-C9-C4-D8; C1-C8-C9-C4-D9; C1-C8-C9-C5-D1; C1-C8-C9-C5-D2; C1-C8-C9-C5-D3; C1-C8-C9-C5-D4; C1-C8-C9-C5-D5; C1-C8-C9-C5-D6; C1-C8-C9-C5-D7; C1-C8-C9-C5-D8; C1-C8-C9-C5-D9; C1-C8-C9-C6-D1; C1-C8-C9-C6-D2; C1-C8-C9-C6-D3; C1-C8-C9-C6-D4; C1-C8-C9-C6-D5; C1-C8-C9-C6-D6; C1-C8-C9-C6-D7; C1-C8-C9-C6-D8; C1-C8-C9-C6-D9; C1-C8-C9-C7-D1; C1-C8-C9-C7-D2; C1-C8-C9-C7-D3; C1-C8-C9-C7-D4; C1-C8-C9-C7-D5; C1-C8-C9-C7-D6; C1-C8-C9-C7-D7; C1-C8-C9-C7-D8; C1-C8-C9-C7-D9; C1-C8-C9-C8-D1; C1-C8-C9-C8-D2; C1-C8-C9-C8-D3; C1-C8-C9-C8-D4; C1-C8-C9-C8-D5; C1-C8-C9-C8-D6; C1-C8-C9-C8-D7; C1-C8-C9-C8-D8; C1-C8-C9-C8-D9; C1-C8-C9-C9-D1; C1-C8-C9-C9-D2; C1-C8-C9-C9-D3; C1-C8-C9-C9-D4; C1-C8-C9-C9-D5; C1-C8-C9-C9-D6; C1-C8-C9-C9-D7; C1-C8-C9-C9-D8; C1-C8-C9-C9-D9; C2-C8-C9-C1-D1; C2-C8-C9-C1-D2; C2-C8-C9-C1-D3; C2-C8-C9-C1-D4; C2-C8-C9-C1-D5; C2-C8-C9-C1-D6; C2-C8-C9-C1-D7; C2-C8-C9-C1-D8; C2-C8-C9-C1-D9; C2-C8-C9-C2-D1; C2-C8-C9-C2-D2; C2-C8-C9-C2-D3; C2-C8-C9-C2-D4; C2-C8-C9-C2-D5; C2-C8-C9-C2-D6; C2-C8-C9-C2-D7; C2-C8-C9-C2-D8; C2-C8-C9-C2-D9; C2-C8-C9-C3-D1; C2-C8-C9-C3-D2; C2-C8-C9-C3-D3; C2-C8-C9-C3-D4; C2-C8-C9-C3-D5; C2-C8-C9-C3-D6; C2-C8-C9-C3-D7; C2-C8-C9-C3-D8; C2-C8-C9-C3-D9; C2-C8-C9-C4-D1; C2-C8-C9-C4-D2; C2-C8-C9-C4-D3; C2-C8-C9-C4-D4; C2-C8-C9-C4-D5; C2-C8-C9-C4-D6; C2-C8-C9-C4-D7; C2-C8-C9-C4-D8; C2-C8-C9-C4-D9; C2-C8-C9-C5-D1; C2-C8-C9-C5-D2; C2-C8-C9-C5-D3; C2-C8-C9-C5-D4; C2-C8-C9-C5-D5; C2-C8-C9-C5-D6; C2-C8-C9-C5-D7; C2-C8-C9-C5-D8; C2-C8-C9-C5-D9; C2-C8-C9-C6-D1; C2-C8-C9-C6-D2; C2-C8-C9-C6-D3; C2-C8-C9-C6-D4; C2-C8-C9-C6-D5; C2-C8-C9-C6-D6; C2-C8-C9-C6-D7; C2-C8-C9-C6-D8; C2-C8-C9-C6-D9; C2-C8-C9-C7-D1; C2-C8-C9-C7-D2; C2-C8-C9-C7-D3; C2-C8-C9-C7-D4; C2-C8-C9-C7-D5; C2-C8-C9-C7-D6; C2-C8-C9-C7-D7; C2-C8-C9-C7-D8; C2-C8-C9-C7-D9; C2-C8-C9-C8-D1; C2-C8-C9-C8-D2; C2-C8-C9-C8-D3; C2-C8-C9-C8-D4; C2-C8-C9-C8-D5; C2-C8-C9-C8-D6; C2-C8-C9-C8-D7; C2-C8-C9-C8-D8; C2-C8-C9-C8-D9; C2-C8-C9-C9-D1; C2-C8-C9-C9-D2; C2-C8-C9-C9-D3; C2-C8-C9-C9-D4; C2-C8-C9-C9-D5; C2-C8-C9-C9-D6; C2-C8-C9-C9-D7; C2-C8-C9-C9-D8; C2-C8-C9-C9-D9; C3-C8-C9-C1-D1; C3-C8-C9-C1-D2; C3-C8-C9-C1-D3; C3-C8-C9-C1-D4; C3-C8-C9-C1-D5; C3-C8-C9-C1-D6; C3-C8-C9-C1-D7; C3-C8-C9-C1-D8; C3-C8-C9-C1-D9; C3-C8-C9-C2-D1; C3-C8-C9-C2-D2; C3-C8-C9-C2-D3; C3-C8-C9-C2-D4; C3-C8-C9-C2-D5; C3-C8-C9-C2-D6; C3-C8-C9-C2-D7; C3-C8-C9-C2-D8; C3-C8-C9-C2-D9; C3-C8-C9-C3-D1; C3-C8-C9-C3-D2; C3-C8-C9-C3-D3; C3-C8-C9-C3-D4; C3-C8-C9-C3-D5; C3-C8-C9-C3-D6; C3-C8-C9-C3-D7; C3-C8-C9-C3-D8; C3-C8-C9-C3-D9; C3-C8-C9-C4-D1; C3-C8-C9-C4-D2; C3-C8-C9-C4-D3; C3-C8-C9-C4-D4; C3-C8-C9-C4-D5; C3-C8-C9-C4-D6; C3-C8-C9-C4-D7; C3-C8-C9-C4-D8; C3-C8-C9-C4-D9; C3-C8-C9-C5-D1; C3-C8-C9-C5-D2; C3-C8-C9-C5-D3; C3-C8-C9-C5-D4; C3-C8-C9-C5-D5; C3-C8-C9-C5-D6; C3-C8-C9-C5-D7; C3-C8-C9-C5-D8; C3-C8-C9-C5-D9; C3-C8-C9-C6-D1; C3-C8-C9-C6-D2; C3-C8-C9-C6-D3; C3-C8-C9-C6-D4; C3-C8-C9-C6-D5; C3-C8-C9-C6-D6; C3-C8-C9-C6-D7; C3-C8-C9-C6-D8; C3-C8-C9-C6-D9; C3-C8-C9-C7-D1; C3-C8-C9-C7-D2; C3-C8-C9-C7-D3; C3-C8-C9-C7-D4; C3-C8-C9-C7-D5; C3-C8-C9-C7-D6; C3-C8-C9-C7-D7; C3-C8-C9-C7-D8; C3-C8-C9-C7-D9; C3-C8-C9-C8-D1; C3-C8-C9-C8-D2; C3-C8-C9-C8-D3; C3-C8-C9-C8-D4; C3-C8-C9-C8-D5; C3-C8-C9-C8-D6; C3-C8-C9-C8-D7; C3-C8-C9-C8-D8; C3-C8-C9-C8-D9; C3-C8-C9-C9-D1; C3-C8-C9-C9-D2; C3-C8-C9-C9-D3; C3-C8-C9-C9-D4; C3-C8-C9-C9-D5; C3-C8-C9-C9-D6; C3-C8-C9-C9-D7; C3-C8-C9-C9-D8; C3-C8-C9-C9-D9; C4-C8-C9-C1-D1; C4-C8-C9-C1-D2; C4-C8-C9-C1-D3; C4-C8-C9-C1-D4; C4-C8-C9-C1-D5; C4-C8-C9-C1-D6; C4-C8-C9-C1-D7; C4-C8-C9-C1-D8; C4-C8-C9-C1-D9; C4-C8-C9-C2-D1; C4-C8-C9-C2-D2; C4-C8-C9-C2-D3; C4-C8-C9-C2-D4; C4-C8-C9-C2-D5; C4-C8-C9-C2-D6; C4-C8-C9-C2-D7; C4-C8-C9-C2-D8; C4-C8-C9-C2-D9; C4-C8-C9-C3-D1; C4-C8-C9-C3-D2; C4-C8-C9-C3-D3; C4-C8-C9-C3-D4; C4-C8-C9-C3-D5; C4-C8-C9-C3-D6; C4-C8-C9-C3-D7; C4-C8-C9-C3-D8; C4-C8-C9-C3-D9; C4-C8-C9-C4-D1; C4-C8-C9-C4-D2; C4-C8-C9-C4-D3; C4-C8-C9-C4-D4; C4-C8-C9-C4-D5; C4-C8-C9-C4-D6; C4-C8-C9-C4-D7; C4-C8-C9-C4-D8; C4-C8-C9-C4-D9; C4-C8-C9-C5-D1; C4-C8-C9-C5-D2; C4-C8-C9-C5-D3; C4-C8-C9-C5-D4; C4-C8-C9-C5-D5; C4-C8-C9-C5-D6; C4-C8-C9-C5-D7; C4-C8-C9-C5-D8; C4-C8-C9-C5-D9; C4-C8-C9-C6-D1; C4-C8-C9-C6-D2; C4-C8-C9-C6-D3; C4-C8-C9-C6-D4; C4-C8-C9-C6-D5; C4-C8-C9-C6-D6; C4-C8-C9-C6-D7; C4-C8-C9-C6-D8; C4-C8-C9-C6-D9; C4-C8-C9-C7-D1; C4-C8-C9-C7-D2; C4-C8-C9-C7-D3; C4-C8-C9-C7-D4; C4-C8-C9-C7-D5; C4-C8-C9-C7-D6; C4-C8-C9-C7-D7; C4-C8-C9-C7-D8; C4-C8-C9-C7-D9; C4-C8-C9-C8-D1; C4-C8-C9-C8-D2; C4-C8-C9-C8-D3; C4-C8-C9-C8-D4; C4-C8-C9-C8-D5; C4-C8-C9-C8-D6; C4-C8-C9-C8-D7; C4-C8-C9-C8-D8; C4-C8-C9-C8-D9; C4-C8-C9-C9-D1; C4-C8-C9-C9-D2; C4-C8-C9-C9-D3; C4-C8-C9-C9-D4; C4-C8-C9-C9-D5; C4-C8-C9-C9-D6; C4-C8-C9-C9-D7; C4-C8-C9-C9-D8; C4-C8-C9-C9-D9; C5-C8-C9-C1-D1; C5-C8-C9-C1-D2; C5-C8-C9-C1-D3; C5-C8-C9-C1-D4; C5-C8-C9-C1-D5; C5-C8-C9-C1-D6; C5-C8-C9-C1-D7; C5-C8-C9-C1-D8; C5-C8-C9-C1-D9; C5-C8-C9-C2-D1; C5-C8-C9-C2-D2; C5-C8-C9-C2-D3; C5-C8-C9-C2-D4; C5-C8-C9-C2-D5; C5-C8-C9-C2-D6; C5-C8-C9-C2-D7; C5-C8-C9-C2-D8; C5-C8-C9-C2-D9; C5-C8-C9-C3-D1; C5-C8-C9-C3-D2; C5-C8-C9-C3-D3; C5-C8-C9-C3-D4; C5-C8-C9-C3-D5; C5-C8-C9-C3-D6; C5-C8-C9-C3-D7; C5-C8-C9-C3-D8; C5-C8-C9-C3-D9; C5-C8-C9-C4-D1; C5-C8-C9-C4-D2; C5-C8-C9-C4-D3; C5-C8-C9-C4-D4; C5-C8-C9-C4-D5; C5-C8-C9-C4-D6; C5-C8-C9-C4-D7; C5-C8-C9-C4-D8; C5-C8-C9-C4-D9; C5-C8-C9-C5-D1; C5-C8-C9-C5-D2; C5-C8-C9-C5-D3; C5-C8-C9-C5-D4; C5-C8-C9-C5-D5; C5-C8-C9-C5-D6; C5-C8-C9-C5-D7; C5-C8-C9-C5-D8; C5-C8-C9-C5-D9; C5-C8-C9-C6-D1; C5-C8-C9-C6-D2; C5-C8-C9-C6-D3; C5-C8-C9-C6-D4; C5-C8-C9-C6-D5; C5-C8-C9-C6-D6; C5-C8-C9-C6-D7; C5-C8-C9-C6-D8; C5-C8-C9-C6-D9; C5-C8-C9-C7-D1; C5-C8-C9-C7-D2; C5-C8-C9-C7-D3; C5-C8-C9-C7-D4; C5-C8-C9-C7-D5; C5-C8-C9-C7-D6; C5-C8-C9-C7-D7; C5-C8-C9-C7-D8; C5-C8-C9-C7-D9; C5-C8-C9-C8-D1; C5-C8-C9-C8-D2; C5-C8-C9-C8-D3; C5-C8-C9-C8-D4; C5-C8-C9-C8-D5; C5-C8-C9-C8-D6; C5-C8-C9-C8-D7; C5-C8-C9-C8-D8; C5-C8-C9-C8-D9; C5-C8-C9-C9-D1; C5-C8-C9-C9-D2; C5-C8-C9-C9-D3; C5-C8-C9-C9-D4; C5-C8-C9-C9-D5; C5-C8-C9-C9-D6; C5-C8-C9-C9-D7; C5-C8-C9-C9-D8; C5-C8-C9-C9-D9; C6-C8-C9-C1-D1; C6-C8-C9-C1-D2; C6-C8-C9-C1-D3; C6-C8-C9-C1-D4; C6-C8-C9-C1-D5; C6-C8-C9-C1-D6; C6-C8-C9-C1-D7; C6-C8-C9-C1-D8; C6-C8-C9-C1-D9; C6-C8-C9-C2-D1; C6-C8-C9-C2-D2; C6-C8-C9-C2-D3; C6-C8-C9-C2-D4; C6-C8-C9-C2-D5; C6-C8-C9-C2-D6; C6-C8-C9-C2-D7; C6-C8-C9-C2-D8; C6-C8-C9-C2-D9; C6-C8-C9-C3-D1; C6-C8-C9-C3-D2; C6-C8-C9-C3-D3; C6-C8-C9-C3-D4; C6-C8-C9-C3-D5; C6-C8-C9-C3-D6; C6-C8-C9-C3-D7; C6-C8-C9-C3-D8; C6-C8-C9-C3-D9; C6-C8-C9-C4-D1; C6-C8-C9-C4-D2; C6-C8-C9-C4-D3; C6-C8-C9-C4-D4; C6-C8-C9-C4-D5; C6-C8-C9-C4-D6; C6-C8-C9-C4-D7; C6-C8-C9-C4-D8; C6-C8-C9-C4-D9; C6-C8-C9-C5-D1; C6-C8-C9-C5-D2; C6-C8-C9-C5-D3; C6-C8-C9-C5-D4; C6-C8-C9-C5-D5; C6-C8-C9-C5-D6; C6-C8-C9-C5-D7; C6-C8-C9-C5-D8; C6-C8-C9-C5-D9; C6-C8-C9-C6-D1; C6-C8-C9-C6-D2; C6-C8-C9-C6-D3; C6-C8-C9-C6-D4; C6-C8-C9-C6-D5; C6-C8-C9-C6-D6; C6-C8-C9-C6-D7; C6-C8-C9-C6-D8; C6-C8-C9-C6-D9; C6-C8-C9-C7-D1; C6-C8-C9-C7-D2; C6-C8-C9-C7-D3; C6-C8-C9-C7-D4; C6-C8-C9-C7-D5; C6-C8-C9-C7-D6; C6-C8-C9-C7-D7; C6-C8-C9-C7-D8; C6-C8-C9-C7-D9; C6-C8-C9-C8-D1; C6-C8-C9-C8-D2; C6-C8-C9-C8-D3; C6-C8-C9-C8-D4; C6-C8-C9-C8-D5; C6-C8-C9-C8-D6; C6-C8-C9-C8-D7; C6-C8-C9-C8-D8; C6-C8-C9-C8-D9; C6-C8-C9-C9-D1; C6-C8-C9-C9-D2; C6-C8-C9-C9-D3; C6-C8-C9-C9-D4; C6-C8-C9-C9-D5; C6-C8-C9-C9-D6; C6-C8-C9-C9-D7; C6-C8-C9-C9-D8; C6-C8-C9-C9-D9; C7-C8-C9-C1-D1; C7-C8-C9-C1-D2; C7-C8-C9-C1-D3; C7-C8-C9-C1-D4; C7-C8-C9-C1-D5; C7-C8-C9-C1-D6; C7-C8-C9-C1-D7; C7-C8-C9-C1-D8; C7-C8-C9-C1-D9; C7-C8-C9-C2-D1; C7-C8-C9-C2-D2; C7-C8-C9-C2-D3; C7-C8-C9-C2-D4; C7-C8-C9-C2-D5; C7-C8-C9-C2-D6; C7-C8-C9-C2-D7; C7-C8-C9-C2-D8; C7-C8-C9-C2-D9; C7-C8-C9-C3-D1; C7-C8-C9-C3-D2; C7-C8-C9-C3-D3; C7-C8-C9-C3-D4; C7-C8-C9-C3-D5; C7-C8-C9-C3-D6; C7-C8-C9-C3-D7; C7-C8-C9-C3-D8; C7-C8-C9-C3-D9; C7-C8-C9-C4-D1; C7-C8-C9-C4-D2; C7-C8-C9-C4-D3; C7-C8-C9-C4-D4; C7-C8-C9-C4-D5; C7-C8-C9-C4-D6; C7-C8-C9-C4-D7; C7-C8-C9-C4-D8; C7-C8-C9-C4-D9; C7-C8-C9-C5-D1; C7-C8-C9-C5-D2; C7-C8-C9-C5-D3; C7-C8-C9-C5-D4; C7-C8-C9-C5-D5; C7-C8-C9-C5-D6; C7-C8-C9-C5-D7; C7-C8-C9-C5-D8; C7-C8-C9-C5-D9; C7-C8-C9-C6-D1; C7-C8-C9-C6-D2; C7-C8-C9-C6-D3; C7-C8-C9-C6-D4; C7-C8-C9-C6-D5; C7-C8-C9-C6-D6; C7-C8-C9-C6-D7; C7-C8-C9-C6-D8; C7-C8-C9-C6-D9; C7-C8-C9-C7-D1; C7-C8-C9-C7-D2; C7-C8-C9-C7-D3; C7-C8-C9-C7-D4; C7-C8-C9-C7-D5; C7-C8-C9-C7-D6; C7-C8-C9-C7-D7; C7-C8-C9-C7-D8; C7-C8-C9-C7-D9; C7-C8-C9-C8-D1; C7-C8-C9-C8-D2; C7-C8-C9-C8-D3; C7-C8-C9-C8-D4; C7-C8-C9-C8-D5; C7-C8-C9-C8-D6; C7-C8-C9-C8-D7; C7-C8-C9-C8-D8; C7-C8-C9-C8-D9; C7-C8-C9-C9-D1; C7-C8-C9-C9-D2; C7-C8-C9-C9-D3; C7-C8-C9-C9-D4; C7-C8-C9-C9-D5; C7-C8-C9-C9-D6; C7-C8-C9-C9-D7; C7-C8-C9-C9-D8; C7-C8-C9-C9-D9; C8-C8-C9-C1-D1; C8-C8-C9-C1-D2; C8-C8-C9-C1-D3; C8-C8-C9-C1-D4; C8-C8-C9-C1-D5; C8-C8-C9-C1-D6; C8-C8-C9-C1-D7; C8-C8-C9-C1-D8; C8-C8-C9-C1-D9; C8-C8-C9-C2-D1; C8-C8-C9-C2-D2; C8-C8-C9-C2-D3; C8-C8-C9-C2-D4; C8-C8-C9-C2-D5; C8-C8-C9-C2-D6; C8-C8-C9-C2-D7; C8-C8-C9-C2-D8; C8-C8-C9-C2-D9; C8-C8-C9-C3-D1; C8-C8-C9-C3-D2; C8-C8-C9-C3-D3; C8-C8-C9-C3-D4; C8-C8-C9-C3-D5; C8-C8-C9-C3-D6; C8-C8-C9-C3-D7; C8-C8-C9-C3-D8; C8-C8-C9-C3-D9; C8-C8-C9-C4-D1; C8-C8-C9-C4-D2; C8-C8-C9-C4-D3; C8-C8-C9-C4-D4; C8-C8-C9-C4-D5; C8-C8-C9-C4-D6; C8-C8-C9-C4-D7; C8-C8-C9-C4-D8; C8-C8-C9-C4-D9; C8-C8-C9-C5-D1; C8-C8-C9-C5-D2; C8-C8-C9-C5-D3; C8-C8-C9-C5-D4; C8-C8-C9-C5-D5; C8-C8-C9-C5-D6; C8-C8-C9-C5-D7; C8-C8-C9-C5-D8; C8-C8-C9-C5-D9; C8-C8-C9-C6-D1; C8-C8-C9-C6-D2; C8-C8-C9-C6-D3; C8-C8-C9-C6-D4; C8-C8-C9-C6-D5; C8-C8-C9-C6-D6; C8-C8-C9-C6-D7; C8-C8-C9-C6-D8; C8-C8-C9-C6-D9; C8-C8-C9-C7-D1; C8-C8-C9-C7-D2; C8-C8-C9-C7-D3; C8-C8-C9-C7-D4; C8-C8-C9-C7-D5; C8-C8-C9-C7-D6; C8-C8-C9-C7-D7; C8-C8-C9-C7-D8; C8-C8-C9-C7-D9; C8-C8-C9-C8-D1; C8-C8-C9-C8-D2; C8-C8-C9-C8-D3; C8-C8-C9-C8-D4; C8-C8-C9-C8-D5; C8-C8-C9-C8-D6; C8-C8-C9-C8-D7; C8-C8-C9-C8-D8; C8-C8-C9-C8-D9; C8-C8-C9-C9-D1; C8-C8-C9-C9-D2; C8-C8-C9-C9-D3; C8-C8-C9-C9-D4; C8-C8-C9-C9-D5; C8-C8-C9-C9-D6; C8-C8-C9-C9-D7; C8-C8-C9-C9-D8; C8-C8-C9-C9-D9; C9-C8-C9-C1-D1; C9-C8-C9-C1-D2; C9-C8-C9-C1-D3; C9-C8-C9-C1-D4; C9-C8-C9-C1-D5; C9-C8-C9-C1-D6; C9-C8-C9-C1-D7; C9-C8-C9-C1-D8; C9-C8-C9-C1-D9; C9-C8-C9-C2-D1; C9-C8-C9-C2-D2; C9-C8-C9-C2-D3; C9-C8-C9-C2-D4; C9-C8-C9-C2-D5; C9-C8-C9-C2-D6; C9-C8-C9-C2-D7; C9-C8-C9-C2-D8; C9-C8-C9-C2-D9; C9-C8-C9-C3-D1; C9-C8-C9-C3-D2; C9-C8-C9-C3-D3; C9-C8-C9-C3-D4; C9-C8-C9-C3-D5; C9-C8-C9-C3-D6; C9-C8-C9-C3-D7; C9-C8-C9-C3-D8; C9-C8-C9-C3-D9; C9-C8-C9-C4-D1; C9-C8-C9-C4-D2; C9-C8-C9-C4-D3; C9-C8-C9-C4-D4; C9-C8-C9-C4-D5; C9-C8-C9-C4-D6; C9-C8-C9-C4-D7; C9-C8-C9-C4-D8; C9-C8-C9-C4-D9; C9-C8-C9-C5-D1; C9-C8-C9-C5-D2; C9-C8-C9-C5-D3; C9-C8-C9-C5-D4; C9-C8-C9-C5-D5; C9-C8-C9-C5-D6; C9-C8-C9-C5-D7; C9-C8-C9-C5-D8; C9-C8-C9-C5-D9; C9-C8-C9-C6-D1; C9-C8-C9-C6-D2; C9-C8-C9-C6-D3; C9-C8-C9-C6-D4; C9-C8-C9-C6-D5; C9-C8-C9-C6-D6; C9-C8-C9-C6-D7; C9-C8-C9-C6-D8; C9-C8-C9-C6-D9; C9-C8-C9-C7-D1; C9-C8-C9-C7-D2; C9-C8-C9-C7-D3; C9-C8-C9-C7-D4; C9-C8-C9-C7-D5; C9-C8-C9-C7-D6; C9-C8-C9-C7-D7; C9-C8-C9-C7-D8; C9-C8-C9-C7-D9; C9-C8-C9-C8-D1; C9-C8-C9-C8-D2; C9-C8-C9-C8-D3; C9-C8-C9-C8-D4; C9-C8-C9-C8-D5; C9-C8-C9-C8-D6; C9-C8-C9-C8-D7; C9-C8-C9-C8-D8; C9-C8-C9-C8-D9; C9-C8-C9-C9-D1; C9-C8-C9-C9-D2; C9-C8-C9-C9-D3; C9-C8-C9-C9-D4; C9-C8-C9-C9-D5; C9-C8-C9-C9-D6; C9-C8-C9-C9-D7; C9-C8-C9-C9-D8; C9-C8-C9-C9-D9; C1-C9-C9-C1-D1; C1-C9-C9-C1-D2; C1-C9-C9-C1-D3; C1-C9-C9-C1-D4; C1-C9-C9-C1-D5; C1-C9-C9-C1-D6; C1-C9-C9-C1-D7; C1-C9-C9-C1-D8; C1-C9-C9-C1-D9; C1-C9-C9-C2-D1; C1-C9-C9-C2-D2; C1-C9-C9-C2-D3; C1-C9-C9-C2-D4; C1-C9-C9-C2-D5; C1-C9-C9-C2-D6; C1-C9-C9-C2-D7; C1-C9-C9-C2-D8; C1-C9-C9-C2-D9; C1-C9-C9-C3-D1; C1-C9-C9-C3-D2; C1-C9-C9-C3-D3; C1-C9-C9-C3-D4; C1-C9-C9-C3-D5; C1-C9-C9-C3-D6; C1-C9-C9-C3-D7; C1-C9-C9-C3-D8; C1-C9-C9-C3-D9; C1-C9-C9-C4-D1; C1-C9-C9-C4-D2; C1-C9-C9-C4-D3; C1-C9-C9-C4-D4; C1-C9-C9-C4-D5; C1-C9-C9-C4-D6; C1-C9-C9-C4-D7; C1-C9-C9-C4-D8; C1-C9-C9-C4-D9; C1-C9-C9-C5-D1; C1-C9-C9-C5-D2; C1-C9-C9-C5-D3; C1-C9-C9-C5-D4; C1-C9-C9-C5-D5; C1-C9-C9-C5-D6; C1-C9-C9-C5-D7; C1-C9-C9-C5-D8; C1-C9-C9-C5-D9; C1-C9-C9-C6-D1; C1-C9-C9-C6-D2; C1-C9-C9-C6-D3; C1-C9-C9-C6-D4; C1-C9-C9-C6-D5; C1-C9-C9-C6-D6; C1-C9-C9-C6-D7; C1-C9-C9-C6-D8; C1-C9-C9-C6-D9; C1-C9-C9-C7-D1; C1-C9-C9-C7-D2; C1-C9-C9-C7-D3; C1-C9-C9-C7-D4; C1-C9-C9-C7-D5; C1-C9-C9-C7-D6; C1-C9-C9-C7-D7; C1-C9-C9-C7-D8; C1-C9-C9-C7-D9; C1-C9-C9-C8-D1; C1-C9-C9-C8-D2; C1-C9-C9-C8-D3; C1-C9-C9-C8-D4; C1-C9-C9-C8-D5; C1-C9-C9-C8-D6; C1-C9-C9-C8-D7; C1-C9-C9-C8-D8; C1-C9-C9-C8-D9; C1-C9-C9-C9-D1; C1-C9-C9-C9-D2; C1-C9-C9-C9-D3; C1-C9-C9-C9-D4; C1-C9-C9-C9-D5; C1-C9-C9-C9-D6; C1-C9-C9-C9-D7; C1-C9-C9-C9-D8; C1-C9-C9-C9-D9; C2-C9-C9-C1-D1; C2-C9-C9-C1-D2; C2-C9-C9-C1-D3; C2-C9-C9-C1-D4; C2-C9-C9-C1-D5; C2-C9-C9-C1-D6; C2-C9-C9-C1-D7; C2-C9-C9-C1-D8; C2-C9-C9-C1-D9; C2-C9-C9-C2-D1; C2-C9-C9-C2-D2; C2-C9-C9-C2-D3; C2-C9-C9-C2-D4; C2-C9-C9-C2-D5; C2-C9-C9-C2-D6; C2-C9-C9-C2-D7; C2-C9-C9-C2-D8; C2-C9-C9-C2-D9; C2-C9-C9-C3-D1; C2-C9-C9-C3-D2; C2-C9-C9-C3-D3; C2-C9-C9-C3-D4; C2-C9-C9-C3-D5; C2-C9-C9-C3-D6; C2-C9-C9-C3-D7; C2-C9-C9-C3-D8; C2-C9-C9-C3-D9; C2-C9-C9-C4-D1; C2-C9-C9-C4-D2; C2-C9-C9-C4-D3; C2-C9-C9-C4-D4; C2-C9-C9-C4-D5; C2-C9-C9-C4-D6; C2-C9-C9-C4-D7; C2-C9-C9-C4-D8; C2-C9-C9-C4-D9; C2-C9-C9-C5-D1; C2-C9-C9-C5-D2; C2-C9-C9-C5-D3; C2-C9-C9-C5-D4; C2-C9-C9-C5-D5; C2-C9-C9-C5-D6; C2-C9-C9-C5-D7; C2-C9-C9-C5-D8; C2-C9-C9-C5-D9; C2-C9-C9-C6-D1; C2-C9-C9-C6-D2; C2-C9-C9-C6-D3; C2-C9-C9-C6-D4; C2-C9-C9-C6-D5; C2-C9-C9-C6-D6; C2-C9-C9-C6-D7; C2-C9-C9-C6-D8; C2-C9-C9-C6-D9; C2-C9-C9-C7-D1; C2-C9-C9-C7-D2; C2-C9-C9-C7-D3; C2-C9-C9-C7-D4; C2-C9-C9-C7-D5; C2-C9-C9-C7-D6; C2-C9-C9-C7-D7; C2-C9-C9-C7-D8; C2-C9-C9-C7-D9; C2-C9-C9-C8-D1; C2-C9-C9-C8-D2; C2-C9-C9-C8-D3; C2-C9-C9-C8-D4; C2-C9-C9-C8-D5; C2-C9-C9-C8-D6; C2-C9-C9-C8-D7; C2-C9-C9-C8-D8; C2-C9-C9-C8-D9; C2-C9-C9-C9-D1; C2-C9-C9-C9-D2; C2-C9-C9-C9-D3; C2-C9-C9-C9-D4; C2-C9-C9-C9-D5; C2-C9-C9-C9-D6; C2-C9-C9-C9-D7; C2-C9-C9-C9-D8; C2-C9-C9-C9-D9; C3-C9-C9-C1-D1; C3-C9-C9-C1-D2; C3-C9-C9-C1-D3; C3-C9-C9-C1-D4; C3-C9-C9-C1-D5; C3-C9-C9-C1-D6; C3-C9-C9-C1-D7; C3-C9-C9-C1-D8; C3-C9-C9-C1-D9; C3-C9-C9-C2-D1; C3-C9-C9-C2-D2; C3-C9-C9-C2-D3; C3-C9-C9-C2-D4; C3-C9-C9-C2-D5; C3-C9-C9-C2-D6; C3-C9-C9-C2-D7; C3-C9-C9-C2-D8; C3-C9-C9-C2-D9; C3-C9-C9-C3-D1; C3-C9-C9-C3-D2; C3-C9-C9-C3-D3; C3-C9-C9-C3-D4; C3-C9-C9-C3-D5; C3-C9-C9-C3-D6; C3-C9-C9-C3-D7; C3-C9-C9-C3-D8; C3-C9-C9-C3-D9; C3-C9-C9-C4-D1; C3-C9-C9-C4-D2; C3-C9-C9-C4-D3; C3-C9-C9-C4-D4; C3-C9-C9-C4-D5; C3-C9-C9-C4-D6; C3-C9-C9-C4-D7; C3-C9-C9-C4-D8; C3-C9-C9-C4-D9; C3-C9-C9-C5-D1; C3-C9-C9-C5-D2; C3-C9-C9-C5-D3; C3-C9-C9-C5-D4; C3-C9-C9-C5-D5; C3-C9-C9-C5-D6; C3-C9-C9-C5-D7; C3-C9-C9-C5-D8; C3-C9-C9-C5-D9; C3-C9-C9-C6-D1; C3-C9-C9-C6-D2; C3-C9-C9-C6-D3; C3-C9-C9-C6-D4; C3-C9-C9-C6-D5; C3-C9-C9-C6-D6; C3-C9-C9-C6-D7; C3-C9-C9-C6-D8; C3-C9-C9-C6-D9; C3-C9-C9-C7-D1; C3-C9-C9-C7-D2; C3-C9-C9-C7-D3; C3-C9-C9-C7-D4; C3-C9-C9-C7-D5; C3-C9-C9-C7-D6; C3-C9-C9-C7-D7; C3-C9-C9-C7-D8; C3-C9-C9-C7-D9; C3-C9-C9-C8-D1; C3-C9-C9-C8-D2; C3-C9-C9-C8-D3; C3-C9-C9-C8-D4; C3-C9-C9-C8-D5; C3-C9-C9-C8-D6; C3-C9-C9-C8-D7; C3-C9-C9-C8-D8; C3-C9-C9-C8-D9; C3-C9-C9-C9-D1; C3-C9-C9-C9-D2; C3-C9-C9-C9-D3; C3-C9-C9-C9-D4; C3-C9-C9-C9-D5; C3-C9-C9-C9-D6; C3-C9-C9-C9-D7; C3-C9-C9-C9-D8; C3-C9-C9-C9-D9; C4-C9-C9-C1-D1; C4-C9-C9-C1-D2; C4-C9-C9-C1-D3; C4-C9-C9-C1-D4; C4-C9-C9-C1-D5; C4-C9-C9-C1-D6; C4-C9-C9-C1-D7; C4-C9-C9-C1-D8; C4-C9-C9-C1-D9; C4-C9-C9-C2-D1; C4-C9-C9-C2-D2; C4-C9-C9-C2-D3; C4-C9-C9-C2-D4; C4-C9-C9-C2-D5; C4-C9-C9-C2-D6; C4-C9-C9-C2-D7; C4-C9-C9-C2-D8; C4-C9-C9-C2-D9; C4-C9-C9-C3-D1; C4-C9-C9-C3-D2; C4-C9-C9-C3-D3; C4-C9-C9-C3-D4; C4-C9-C9-C3-D5; C4-C9-C9-C3-D6; C4-C9-C9-C3-D7; C4-C9-C9-C3-D8; C4-C9-C9-C3-D9; C4-C9-C9-C4-D1; C4-C9-C9-C4-D2; C4-C9-C9-C4-D3; C4-C9-C9-C4-D4; C4-C9-C9-C4-D5; C4-C9-C9-C4-D6; C4-C9-C9-C4-D7; C4-C9-C9-C4-D8; C4-C9-C9-C4-D9; C4-C9-C9-C5-D1; C4-C9-C9-C5-D2; C4-C9-C9-C5-D3; C4-C9-C9-C5-D4; C4-C9-C9-C5-D5; C4-C9-C9-C5-D6; C4-C9-C9-C5-D7; C4-C9-C9-C5-D8; C4-C9-C9-C5-D9; C4-C9-C9-C6-D1; C4-C9-C9-C6-D2; C4-C9-C9-C6-D3; C4-C9-C9-C6-D4; C4-C9-C9-C6-D5; C4-C9-C9-C6-D6; C4-C9-C9-C6-D7; C4-C9-C9-C6-D8; C4-C9-C9-C6-D9; C4-C9-C9-C7-D1; C4-C9-C9-C7-D2; C4-C9-C9-C7-D3; C4-C9-C9-C7-D4; C4-C9-C9-C7-D5; C4-C9-C9-C7-D6; C4-C9-C9-C7-D7; C4-C9-C9-C7-D8; C4-C9-C9-C7-D9; C4-C9-C9-C8-D1; C4-C9-C9-C8-D2; C4-C9-C9-C8-D3; C4-C9-C9-C8-D4; C4-C9-C9-C8-D5; C4-C9-C9-C8-D6; C4-C9-C9-C8-D7; C4-C9-C9-C8-D8; C4-C9-C9-C8-D9; C4-C9-C9-C9-D1; C4-C9-C9-C9-D2; C4-C9-C9-C9-D3; C4-C9-C9-C9-D4; C4-C9-C9-C9-D5; C4-C9-C9-C9-D6; C4-C9-C9-C9-D7; C4-C9-C9-C9-D8; C4-C9-C9-C9-D9; C5-C9-C9-C1-D1; C5-C9-C9-C1-D2; C5-C9-C9-C1-D3; C5-C9-C9-C1-D4; C5-C9-C9-C1-D5; C5-C9-C9-C1-D6; C5-C9-C9-C1-D7; C5-C9-C9-C1-D8; C5-C9-C9-C1-D9; C5-C9-C9-C2-D1; C5-C9-C9-C2-D2; C5-C9-C9-C2-D3; C5-C9-C9-C2-D4; C5-C9-C9-C2-D5; C5-C9-C9-C2-D6; C5-C9-C9-C2-D7; C5-C9-C9-C2-D8; C5-C9-C9-C2-D9; C5-C9-C9-C3-D1; C5-C9-C9-C3-D2; C5-C9-C9-C3-D3; C5-C9-C9-C3-D4; C5-C9-C9-C3-D5; C5-C9-C9-C3-D6; C5-C9-C9-C3-D7; C5-C9-C9-C3-D8; C5-C9-C9-C3-D9; C5-C9-C9-C4-D1; C5-C9-C9-C4-D2; C5-C9-C9-C4-D3; C5-C9-C9-C4-D4; C5-C9-C9-C4-D5; C5-C9-C9-C4-D6; C5-C9-C9-C4-D7; C5-C9-C9-C4-D8; C5-C9-C9-C4-D9; C5-C9-C9-C5-D1; C5-C9-C9-C5-D2; C5-C9-C9-C5-D3; C5-C9-C9-C5-D4; C5-C9-C9-C5-D5; C5-C9-C9-C5-D6; C5-C9-C9-C5-D7; C5-C9-C9-C5-D8; C5-C9-C9-C5-D9; C5-C9-C9-C6-D1; C5-C9-C9-C6-D2; C5-C9-C9-C6-D3; C5-C9-C9-C6-D4; C5-C9-C9-C6-D5; C5-C9-C9-C6-D6; C5-C9-C9-C6-D7; C5-C9-C9-C6-D8; C5-C9-C9-C6-D9; C5-C9-C9-C7-D1; C5-C9-C9-C7-D2; C5-C9-C9-C7-D3; C5-C9-C9-C7-D4; C5-C9-C9-C7-D5; C5-C9-C9-C7-D6; C5-C9-C9-C7-D7; C5-C9-C9-C7-D8; C5-C9-C9-C7-D9; C5-C9-C9-C8-D1; C5-C9-C9-C8-D2; C5-C9-C9-C8-D3; C5-C9-C9-C8-D4; C5-C9-C9-C8-D5; C5-C9-C9-C8-D6; C5-C9-C9-C8-D7; C5-C9-C9-C8-D8; C5-C9-C9-C8-D9; C5-C9-C9-C9-D1; C5-C9-C9-C9-D2; C5-C9-C9-C9-D3; C5-C9-C9-C9-D4; C5-C9-C9-C9-D5; C5-C9-C9-C9-D6; C5-C9-C9-C9-D7; C5-C9-C9-C9-D8; C5-C9-C9-C9-D9; C6-C9-C9-C1-D1; C6-C9-C9-C1-D2; C6-C9-C9-C1-D3; C6-C9-C9-C1-D4; C6-C9-C9-C1-D5; C6-C9-C9-C1-D6; C6-C9-C9-C1-D7; C6-C9-C9-C1-D8; C6-C9-C9-C1-D9; C6-C9-C9-C2-D1; C6-C9-C9-C2-D2; C6-C9-C9-C2-D3; C6-C9-C9-C2-D4; C6-C9-C9-C2-D5; C6-C9-C9-C2-D6; C6-C9-C9-C2-D7; C6-C9-C9-C2-D8; C6-C9-C9-C2-D9; C6-C9-C9-C3-D1; C6-C9-C9-C3-D2; C6-C9-C9-C3-D3; C6-C9-C9-C3-D4; C6-C9-C9-C3-D5; C6-C9-C9-C3-D6; C6-C9-C9-C3-D7; C6-C9-C9-C3-D8; C6-C9-C9-C3-D9; C6-C9-C9-C4-D1; C6-C9-C9-C4-D2; C6-C9-C9-C4-D3; C6-C9-C9-C4-D4; C6-C9-C9-C4-D5; C6-C9-C9-C4-D6; C6-C9-C9-C4-D7; C6-C9-C9-C4-D8; C6-C9-C9-C4-D9; C6-C9-C9-C5-D1; C6-C9-C9-C5-D2; C6-C9-C9-C5-D3; C6-C9-C9-C5-D4; C6-C9-C9-C5-D5; C6-C9-C9-C5-D6; C6-C9-C9-C5-D7; C6-C9-C9-C5-D8; C6-C9-C9-C5-D9; C6-C9-C9-C6-D1; C6-C9-C9-C6-D2; C6-C9-C9-C6-D3; C6-C9-C9-C6-D4; C6-C9-C9-C6-D5; C6-C9-C9-C6-D6; C6-C9-C9-C6-D7; C6-C9-C9-C6-D8; C6-C9-C9-C6-D9; C6-C9-C9-C7-D1; C6-C9-C9-C7-D2; C6-C9-C9-C7-D3; C6-C9-C9-C7-D4; C6-C9-C9-C7-D5; C6-C9-C9-C7-D6; C6-C9-C9-C7-D7; C6-C9-C9-C7-D8; C6-C9-C9-C7-D9; C6-C9-C9-C8-D1; C6-C9-C9-C8-D2; C6-C9-C9-C8-D3; C6-C9-C9-C8-D4; C6-C9-C9-C8-D5; C6-C9-C9-C8-D6; C6-C9-C9-C8-D7; C6-C9-C9-C8-D8; C6-C9-C9-C8-D9; C6-C9-C9-C9-D1; C6-C9-C9-C9-D2; C6-C9-C9-C9-D3; C6-C9-C9-C9-D4; C6-C9-C9-C9-D5; C6-C9-C9-C9-D6; C6-C9-C9-C9-D7; C6-C9-C9-C9-D8; C6-C9-C9-C9-D9; C7-C9-C9-C1-D1; C7-C9-C9-C1-D2; C7-C9-C9-C1-D3; C7-C9-C9-C1-D4; C7-C9-C9-C1-D5; C7-C9-C9-C1-D6; C7-C9-C9-C1-D7; C7-C9-C9-C1-D8; C7-C9-C9-C1-D9; C7-C9-C9-C2-D1; C7-C9-C9-C2-D2; C7-C9-C9-C2-D3; C7-C9-C9-C2-D4; C7-C9-C9-C2-D5; C7-C9-C9-C2-D6; C7-C9-C9-C2-D7; C7-C9-C9-C2-D8; C7-C9-C9-C2-D9; C7-C9-C9-C3-D1; C7-C9-C9-C3-D2; C7-C9-C9-C3-D3; C7-C9-C9-C3-D4; C7-C9-C9-C3-D5; C7-C9-C9-C3-D6; C7-C9-C9-C3-D7; C7-C9-C9-C3-D8; C7-C9-C9-C3-D9; C7-C9-C9-C4-D1; C7-C9-C9-C4-D2; C7-C9-C9-C4-D3; C7-C9-C9-C4-D4; C7-C9-C9-C4-D5; C7-C9-C9-C4-D6; C7-C9-C9-C4-D7; C7-C9-C9-C4-D8; C7-C9-C9-C4-D9; C7-C9-C9-C5-D1; C7-C9-C9-C5-D2; C7-C9-C9-C5-D3; C7-C9-C9-C5-D4; C7-C9-C9-C5-D5; C7-C9-C9-C5-D6; C7-C9-C9-C5-D7; C7-C9-C9-C5-D8; C7-C9-C9-C5-D9; C7-C9-C9-C6-D1; C7-C9-C9-C6-D2; C7-C9-C9-C6-D3; C7-C9-C9-C6-D4; C7-C9-C9-C6-D5; C7-C9-C9-C6-D6; C7-C9-C9-C6-D7; C7-C9-C9-C6-D8; C7-C9-C9-C6-D9; C7-C9-C9-C7-D1; C7-C9-C9-C7-D2; C7-C9-C9-C7-D3; C7-C9-C9-C7-D4; C7-C9-C9-C7-D5; C7-C9-C9-C7-D6; C7-C9-C9-C7-D7; C7-C9-C9-C7-D8; C7-C9-C9-C7-D9; C7-C9-C9-C8-D1; C7-C9-C9-C8-D2; C7-C9-C9-C8-D3; C7-C9-C9-C8-D4; C7-C9-C9-C8-D5; C7-C9-C9-C8-D6; C7-C9-C9-C8-D7; C7-C9-C9-C8-D8; C7-C9-C9-C8-D9; C7-C9-C9-C9-D1; C7-C9-C9-C9-D2; C7-C9-C9-C9-D3; C7-C9-C9-C9-D4; C7-C9-C9-C9-D5; C7-C9-C9-C9-D6; C7-C9-C9-C9-D7; C7-C9-C9-C9-D8; C7-C9-C9-C9-D9; C8-C9-C9-C1-D1; C8-C9-C9-C1-D2; C8-C9-C9-C1-D3; C8-C9-C9-C1-D4; C8-C9-C9-C1-D5; C8-C9-C9-C1-D6; C8-C9-C9-C1-D7; C8-C9-C9-C1-D8; C8-C9-C9-C1-D9; C8-C9-C9-C2-D1; C8-C9-C9-C2-D2; C8-C9-C9-C2-D3; C8-C9-C9-C2-D4; C8-C9-C9-C2-D5; C8-C9-C9-C2-D6; C8-C9-C9-C2-D7; C8-C9-C9-C2-D8; C8-C9-C9-C2-D9; C8-C9-C9-C3-D1; C8-C9-C9-C3-D2; C8-C9-C9-C3-D3; C8-C9-C9-C3-D4; C8-C9-C9-C3-D5; C8-C9-C9-C3-D6; C8-C9-C9-C3-D7; C8-C9-C9-C3-D8; C8-C9-C9-C3-D9; C8-C9-C9-C4-D1; C8-C9-C9-C4-D2; C8-C9-C9-C4-D3; C8-C9-C9-C4-D4; C8-C9-C9-C4-D5; C8-C9-C9-C4-D6; C8-C9-C9-C4-D7; C8-C9-C9-C4-D8; C8-C9-C9-C4-D9; C8-C9-C9-C5-D1; C8-C9-C9-C5-D2; C8-C9-C9-C5-D3; C8-C9-C9-C5-D4; C8-C9-C9-C5-D5; C8-C9-C9-C5-D6; C8-C9-C9-C5-D7; C8-C9-C9-C5-D8; C8-C9-C9-C5-D9; C8-C9-C9-C6-D1; C8-C9-C9-C6-D2; C8-C9-C9-C6-D3; C8-C9-C9-C6-D4; C8-C9-C9-C6-D5; C8-C9-C9-C6-D6; C8-C9-C9-C6-D7; C8-C9-C9-C6-D8; C8-C9-C9-C6-D9; C8-C9-C9-C7-D1; C8-C9-C9-C7-D2; C8-C9-C9-C7-D3; C8-C9-C9-C7-D4; C8-C9-C9-C7-D5; C8-C9-C9-C7-D6; C8-C9-C9-C7-D7; C8-C9-C9-C7-D8; C8-C9-C9-C7-D9; C8-C9-C9-C8-D1; C8-C9-C9-C8-D2; C8-C9-C9-C8-D3; C8-C9-C9-C8-D4; C8-C9-C9-C8-D5; C8-C9-C9-C8-D6; C8-C9-C9-C8-D7; C8-C9-C9-C8-D8; C8-C9-C9-C8-D9; C8-C9-C9-C9-D1; C8-C9-C9-C9-D2; C8-C9-C9-C9-D3; C8-C9-C9-C9-D4; C8-C9-C9-C9-D5; C8-C9-C9-C9-D6; C8-C9-C9-C9-D7; C8-C9-C9-C9-D8; C8-C9-C9-C9-D9; C9-C9-C9-C1-D1; C9-C9-C9-C1-D2; C9-C9-C9-C1-D3; C9-C9-C9-C1-D4; C9-C9-C9-C1-D5; C9-C9-C9-C1-D6; C9-C9-C9-C1-D7; C9-C9-C9-C1-D8; C9-C9-C9-C1-D9; C9-C9-C9-C2-D1; C9-C9-C9-C2-D2; C9-C9-C9-C2-D3; C9-C9-C9-C2-D4; C9-C9-C9-C2-D5; C9-C9-C9-C2-D6; C9-C9-C9-C2-D7; C9-C9-C9-C2-D8; C9-C9-C9-C2-D9; C9-C9-C9-C3-D1; C9-C9-C9-C3-D2; C9-C9-C9-C3-D3; C9-C9-C9-C3-D4; C9-C9-C9-C3-D5; C9-C9-C9-C3-D6; C9-C9-C9-C3-D7; C9-C9-C9-C3-D8; C9-C9-C9-C3-D9; C9-C9-C9-C4-D1; C9-C9-C9-C4-D2; C9-C9-C9-C4-D3; C9-C9-C9-C4-D4; C9-C9-C9-C4-D5; C9-C9-C9-C4-D6; C9-C9-C9-C4-D7; C9-C9-C9-C4-D8; C9-C9-C9-C4-D9; C9-C9-C9-C5-D1; C9-C9-C9-C5-D2; C9-C9-C9-C5-D3; C9-C9-C9-C5-D4; C9-C9-C9-C5-D5; C9-C9-C9-C5-D6; C9-C9-C9-C5-D7; C9-C9-C9-C5-D8; C9-C9-C9-C5-D9; C9-C9-C9-C6-D1; C9-C9-C9-C6-D2; C9-C9-C9-C6-D3; C9-C9-C9-C6-D4; C9-C9-C9-C6-D5; C9-C9-C9-C6-D6; C9-C9-C9-C6-D7; C9-C9-C9-C6-D8; C9-C9-C9-C6-D9; C9-C9-C9-C7-D1; C9-C9-C9-C7-D2; C9-C9-C9-C7-D3; C9-C9-C9-C7-D4; C9-C9-C9-C7-D5; C9-C9-C9-C7-D6; C9-C9-C9-C7-D7; C9-C9-C9-C7-D8; C9-C9-C9-C7-D9; C9-C9-C9-C8-D1; C9-C9-C9-C8-D2; C9-C9-C9-C8-D3; C9-C9-C9-C8-D4; C9-C9-C9-C8-D5; C9-C9-C9-C8-D6; C9-C9-C9-C8-D7; C9-C9-C9-C8-D8; C9-C9-C9-C8-D9; C9-C9-C9-C9-D1; C9-C9-C9-C9-D2; C9-C9-C9-C9-D3; C9-C9-C9-C9-D4; C9-C9-C9-C9-D5; C9-C9-C9-C9-D6; C9-C9-C9-C9-D7; C9-C9-C9-C9-D8; C9-C9-C9-C9-D9.
While in FIG. 1 a single compressor train 1 with a single gas compressor section 13 is shown, in combination with a cooling and liquefaction system 5, in some embodiments, two, three, four or more compressor trains for the same cooling and liquefaction system 5 can be provided. Each compressor train 1 can include a gas compressor section 13 with one, two, three or four compressors, as described above. Each one of the several compressor trains can include a combination of compressors as set forth above.
The two, three or four compressor trains 1 can be arranged in parallel, or can be fluidly coupled to one another, in that compressor inlets or discharge sides of one or more compressors of one train are fluidly coupled to one or more inlets or discharge sides of one or more compressors of another train.
FIG. 31 illustrates a schematic arrangement of four compressor trains 1.1, 1.2, 1.3 and 1.4, coupled to a cooling and liquefaction system schematically shown at 5 and each provided with a respective driver section 11.1, 11.2, 11.3, 11.4 and a gas compressor section 13.1, 13.2, 13.3, 13.4.
In some embodiments, each compressor of the compressor train can be fluidly coupled to the cooling and liquefaction system 5. In other embodiments at least one or more compressors are fluidly coupled to one or more compressors of the same compressor train or of a parallel compressor train. For instance, the inlet of at least one compressor of the compressor train can be fluidly coupled to the cooling and liquefaction system 5 to receive therefrom a gas flow to be processed by the compressor. In other embodiments the inlet of at least one compressor of the compressor train can be fluidly coupled to the discharge side of another compressor of the same compressor train or of another compressor train, to receive partly compressed gas therefrom and further compress said gas.
Said at least one compressor can in turn include a compressor discharge fluidly coupled to the cooling and liquefaction system 5 to provide compressed gas thereto. In other embodiments, the discharge side of the compressor can be fluidly coupled to the inlet of one or more compressors of the same compressor train or of another compressor train.
In some embodiments the cooling and liquefaction system 5 can be a cooling system for cooling the natural gas stream, or a pre-cooling system used for pre-cooling a refrigerant which is in turn employed for cooling the natural gas stream. In some embodiments the cooling and liquefaction system 5 can include heat exchanger arrangements for pre-cooling a refrigerant which is processed in a separate cooling and liquefaction system and at the same time for cooling the natural gas. Exemplary embodiments of cooling and liquefaction systems will be described later on.
By way of example, FIG. 32 illustrates a compressor train 1.1 comprising a gas compressor section 13.1, wherein three compressors 125.1, 125.2, 125.3 each have a gas inlet and a gas discharge side in direct fluid connection with the cooling and liquefaction system 5. In FIG. 33, conversely, compressor 125.1 has a gas inlet and a gas discharge side directly coupled to the cooling and liquefaction system 5, while compressor 125.2 has a gas inlet fluidly coupled to the cooling and liquefaction system 5 to receive gas therefrom, and a gas discharge side which is fluidly coupled to the gas inlet of the third compressor 125.3, the gas discharge side whereof is in turn fluidly coupled to the cooling and liquefaction system 5.
FIG. 34 illustrates a first compressor train 1.1 and a second compressor train 1.2. By way of example, the first compressor train 1.1 is comprised of a first compressor 125.1 and a second compressor 125.2. A different number of compressors can be provide, e.g. a single compressor 125.2, or more than two compressors. In the exemplary embodiment of FIG. 34 the second compressor train 1.2 comprises four compressors 125.3, 125.4, 125.5, 125.6. Compressor 125.1 has a compressor inlet fluidly coupled to the cooling and liquefaction system 5 and receiving gas therefrom. The gas discharge side of compressor 125.1 can be coupled to the gas inlet of the second compressor 125.2 of the first compressor train 1.1. The discharge side of the second compressor 125.2 can be fluidly coupled to the cooling and liquefaction system 5 or, as shown in the schematic of FIG. 34, to the gas inlet of one of the compressors of the second train 1.2, for instance the fourth compressor 125.6. By way of example, the three compressors 125.3, 125.4 and 125.5 of second compressor train 1.2 are arranged in series, such that gas from the cooling and liquefaction system 5 is sequentially processed by the three compressors 125.3, 125.4, 125.5 prior to be returned to the cooling and liquefaction system 5.
The number of trains and the fluid coupling between the various compressors and the cooling and liquefaction system 5, as well as among compressors of the same or of different compressor trains may depend upon the structure of the liquefaction cycle used, as well as upon the power required to process the refrigerants.
The natural gas cooling and liquefaction system 5 can be configured in various different ways, depending upon the specific refrigeration cycle or combination of refrigeration cycles used. As known to those skilled in the field of LNG technology, the cooling and refrigeration system can comprise one or more refrigerant cycles, using one or more refrigerant fluids, of the same or different nature, for instance refrigerants having different molecular weights and/or operating at different levels of pressure and temperature. The above described compressor train configurations can be used in any possible natural gas liquefaction system 5. One or more compressor trains can be used for one system 5, as schematically shown by exemplary embodiments of FIGS. 31, 32, 33 and 34.
FIGS. 35 36, 37, 38, 39, 40 and 41 schematically show some exemplary embodiments of LNG systems which can be used as cooling and liquefaction systems 5 in combination with one or more compressor trains disclosed herein. The LNG systems of FIGS. 35 36, 37, 38, 39, 40 and 41 are known to those skilled in the art and will therefore not be described in detail. In each schematic of FIGS. 35 36, 37, 38, 39, 40 and 41 one or more blocks schematically represent one or more compressor trains. These blocks are labeled with reference number 1. It shall be understood that each block 1 can in actual fact include more than one compressor train. Each compressor train can be configured according to one of the above described configurations.
More specifically, FIG. 35 illustrates a Single Mixed Refrigerant cycle, marketed under the trademark PRICO®, wherein a single mixed refrigerant is used to liquefy the natural gas. One or more compressor trains 1 (just one shown in FIG. 35) can be provided to process the single mixed refrigerant flow. The liquefaction system 5 comprises a cold box 302, where to natural gas is delivered through a duct 301. Liquefied natural gas (LNG) exits the cold box 303 through a duct 303. In the cold box 302 heat is removed from the natural gas flow by heat exchange against a flow of refrigerant gas, such as a mixed refrigerant containing a mixture of two or more refrigerant fluids, for instance selected from methane, propane, ethylene, nitrogen.
In the schematic of FIG. 35 a compressor train 1 is shown, including a refrigerant gas compressor section with two refrigerant gas compressors 13A, 13B and a driver section 11. Refrigerant gas is compressed sequentially by compressors 13A and 13B, an intercooler 304 being arranged between the two compressors 13A, 13B. The intercooler removes heat from the partly compressed refrigerant gas e.g. by heat exchange against water or air. The refrigerant circuit further comprises a heat exchanger 305 downstream of the second compressor 13B, to remove heat from the compressed refrigerant, e.g. by heat exchange against air or water. Compressed refrigerant from the heat exchanger 305 flows through the cold box 302 to be pre-cooled and is then expanded in an expander 306. The expansion causes a temperature drop in the refrigerant. Expanded refrigerant flows through the cold box 302 to chill and liquefy the natural gas and pre-cool the refrigerant itself. The refrigerant circuit can further comprising a suction drum 308, where through the expanded refrigerant is returned to the compressor train 1. Additional components, such as gas/liquid separators 311, 312 can be arranged in various positions along the gas circuit, as known to those skilled in the art. A gas/liquid separator can also be arranged on the LNG exit side of the liquefaction system 5, liquefied natural gas being delivered from the liquid/gas separator 315 through a duct 317.
FIG. 36 illustrates an LNG single mixed refrigerant cycle, marketed by Linde under the trademark LIMUM®. The LNG liquefaction system 5 comprises a natural gas deliver duct 401, a cold-box 402 and an LNG delivery duct 403. Two streams of a refrigerant flow at different pressures are delivered from a compressor train 1 to the liquefaction system 5 through ducts 405 and 406. Expansion valves or expanders 407, 408, 409 expand the refrigerant flow to provide low-pressure and chilled gaseous refrigerant to the cold box 402, to remove heat from the natural gas and liquefy the natural gas. Expanded and exhausted refrigerant gas is returned through a duct 411 to the compressor train 1. The refrigerant gas is compressed by low pressure compressor 13A and high pressure compressor 13B. Heat can be removed from the medium pressure mixed refrigerant (heat exchanger 413) and from the high-pressure mixed refrigerant (heat exchanger 414). Gas/liquid separators 415, 416 and 417 are further provided in the mixed refrigerant circuit.
FIG. 37 illustrates a triple cycle mixed refrigerant cascade system, marketed by Linde under the trademark MFC® (Mixed Fluid Cascade), which uses three mixed refrigerant circuits 501, 502, 503. Each cycle comprises a cold box 504, 505, 506, respectively. The combination of three refrigerant cycles is labeled globally as a liquefaction system 5. In the schematic representation of FIG. 37 a single block 1 represent the compressor train(s). The various compressors used to process the mixed refrigerant flow in the three circuits 501, 502, 503 can be variously arranged. In FIG. 37 a first refrigerant gas compressor 13A is included in the first refrigerant circuit 501 to process a first refrigerant. A second refrigerant gas compressor 13B and a third refrigerant gas compressor 13C are arranged in the second refrigerant circuit 502. A fourth compressor 13D and fifth compressor 13E are arranged in the third refrigerant circuit 503. The first refrigerant circuit 501 comprises a first expander or expansion valve 507 and a first heat exchanger 508 downstream of the first compressor 13A, the second refrigerant circuit 502 comprises a second expander or expansion valve 509 and a second heat exchanger 510 downstream of the third compressor 13C. The third refrigerant circuit 503 comprises a third expander or expansion valve 511 and a third heat exchanger 512 downstream of the fifth compressor 13E. An intercooler 513 can be provided between the fourth compressor 13D and the fifth compressor 13E. Natural gas NG to be chilled and liquefied is delivered through the three cold boxes 504, 505 and 506 sequentially and exits the most downstream cold box 506 at 514. In the schematic of FIG. 37 the refrigerant gas compressors of the three circuits are operated by three driver sections 11A, 11B, 11C, respectively. Each driver section can be configured with any one of the above described drivers. Those skilled in the art will however understand that a different arrangement of refrigerant gas compressors and driver sections can be envisaged. For instance compressors of two or three circuits 501, 502, 503 can be arranged on the same shaft line of the same gas compressor train, driven by a common driver, e.g. an electric motor or a gas turbine. For instance, refrigerant gas compressors 13A, 13B, 13C can be arranged to form a first gas compressor train and the compressors 13D, 13E can be arranged to form another gas compressor train, or two compressor trains. In yet further embodiments, refrigerant gas compressors 13A, 13D, 13E can be arranged to form a first compressor train with a driver section, and compressors 13B, 13C can be arranged to form another compressor train.
Depending upon the flow rate in each refrigerant cycle, more than just one compressor or compressor train in parallel can be envisaged, to increase the total flow rate.
FIG. 38 illustrates an optimized LNG cycle using a plurality of refrigerant fluids, marketed by Conoco Phillips under the trademark CASCADE®. The liquefaction system, again labeled 5 as a whole, may include three refrigerant gas cycles 601, 602, 603. Different refrigerant gases are processed in the three cycles, namely methane, ethylene and propane, respectively. Natural gas NG is delivered sequentially through cold boxes 604, 605 and 606 until liquefied natural gas LNG is obtained. The first refrigerant gas cycle 601 comprises a first refrigerant gas compressor or compressor section 13A, a first heat exchanger 610 and a first expander or a first expansion valve 611. Methane can be compressed by the first refrigerant gas compressor 13A, cooled in first heat exchanger 610 and expanded by flowing through the first expansion valve or expander 611. Expansion causes the first refrigerant gas to chill and the chilled, low-pressure refrigerant gas is used to cool the natural gas and to pre-cool the second refrigerant gas circulating in the second refrigerant gas cycle 602, e.g. ethylene.
The second refrigerant gas is compressed by the second refrigerant gas compressor 13B or compressor section 13B and is cooled in a second heat exchanger 612, arranged in the second refrigerant gas cycle 602. Compressed and cooled second refrigerant gas is further pre-cooled in the first cold box 604 by heat exchange against the first refrigerant gas and is then expanded in a second expander or a second expansion valve 613. The low-pressure, chilled second refrigerant gas is then used to further cool the natural gas and pre-cool the third refrigerant gas in the second cold box 605 and is finally returned to the second refrigerant gas compressor or compressor section 13B.
The third refrigerant gas is compressed in the third refrigerant gas compressor or compressor section 13C and is cooled in a third heat exchanger 614. The compressed and cooled third refrigerant gas is then further pre-cooled in the first cold box 604 by heat exchange against the expanded first refrigerant gas and in the second cold box 605 by heat exchange against the expanded second refrigerant gas. A third expander or a third expansion valve 615 expands the third refrigerant gas to lower the temperature thereof. The low-pressure, chilled third refrigerant gas is then caused to remove further heat from the natural gas and liquefy the natural gas in the third cold box 606. Exhausted third refrigerant gas is then returned to the third compressor or compressor section 13C.
In the schematic of FIG. 38 reference number 1 designates the entire arrangement of compressor train(s). A respective driver section 11A, 11B, 11C is shown for each refrigerant gas cycle. It shall however be understood that other embodiments are possible. For instance, a single compressor train with a single driver section can be provided, including all the compressors of all three cycles. In other embodiments, two or just one compressor or compressor section can be arranged in one compressor train with a respective driver section. In some embodiments, one, two or all three cycles may include more than one compressor or compressor phase. For instance a low-pressure, medium-pressure and high-pressure compressor or compressor set can be envisaged for the first and/or the second and/or the third cycle. The various compressors or compressor sets of the low medium and high pressure can be differently arranged on two or more compressor trains.
FIG. 39 illustrates a schematic of a Shell Double Mixed Refrigerant (DMR) system. The liquefaction system is again labeled 5 as a whole. The system comprises a first refrigerant gas cycle 701 and a second refrigerant cycle 702. Different mixed refrigerants can be used in the two cycles. Natural gas flow through a first cold box 703 and a second cold box 704 and is chilled and finally liquefied by heat exchange against the refrigerant gas flow circulating in the two cycles 701 and 702.
The first refrigerant gas is compressed in a first compressor or in a first compressor section 13A of the first refrigerant cycle 701 and cooled by heat exchange against water or air, for instance, in a first heat exchanger 705 prior to be pre-cooled in the first cold box 703 and expanded in a first expansion valve or a first expander 706. Low-pressure, low temperature first refrigerant gas is then used to remove heat from the natural gas flow in the first cold box 703. Exhausted first refrigerant gas is returned to the first compressor or compressor section 13A.
The second refrigerant gas is compressed in a second compressor or in a second compressor section 13B of the second refrigerant cycle 702 and cooled by heat exchange against water or air, for instance, in a second heat exchanger 707 prior to be pre-cooled in the second cold box 704 and expanded in a second expansion valve or a second expander 708. Low-pressure, low temperature second refrigerant gas is then used to further remove heat from the natural gas flow and liquefy the natural gas in the second cold box 704. Exhausted second refrigerant gas is returned to the second compressor or compressor section 13B.
In the schematic of FIG. 39 the two compressors 13A, 13B are illustrated as separate compressors, driven by respective driver sections 11A, 11B. It shall, however be understood that other arrangement are possible, e.g. a single compressor train with one driver section can be provided, wherein both compressor sections 13A, 13B are arranged. Two or more compressor trains in parallel can be used in case of larger refrigerant gas flow-rates. In some embodiments two or more parallel compressors can be provided in the first cycle and a different number of compressors, e.g. just one compressor, can be provided in the second cycle, or vice-versa.
FIG. 40 illustrates an APCI® propane/mixed refrigerant LNG system. A first refrigerant gas cycle 801 contains a first refrigerant gas, e.g. propane, which is used to pre-cool natural gas NG and to further pre-cool a second refrigerant gas, e.g. a mixed refrigerant gas, which is processed in a second refrigerant gas cycle 802. In the schematic of FIG. 40 two separate compressor trains 1A, 1B are shown, including a respective first compressor first compressor section 13A and a respective second compressor or second compressor section 13B. Each compressor section may include one or more compressors or compressor phases. In the schematic of FIG. 40 each compressor train 1A, 1B has a respective driver section 11A, 11B, coupled to the compressor or compressor section 13A, 13B. It shall, however, be understood that different arrangements are possible. For instance a single compressor train may include both the first and the second compressor section 13A, 13B, both driven by the same driver section. In other embodiments, two compressor trains in parallel can be used, each including a respective compressor section of the first and second refrigerant gas cycle 801, 802. In yet further embodiments, two compressor trains can be provided, one including compressor(s) processing the first or the second refrigerant gas and the other containing separate compressors for processing both the first and the second refrigerant gas.
In the schematic of FIG. 40 reference 803 represents pre-cooling heat exchangers, wherein side flows of the first refrigerant gas at different pressure levels, processed by the first compressor or compressor section 13A, are uses to pre-cool the natural gas and to further pre-cool the second refrigerant gas. Pre-cooled, second refrigerant gas, processed by the second compressor or compressor section 13B is delivered to a main cryogenic heat exchanger 804, and expanded in expanders or expansion valves 805, 806. The expanded, low-temperature and low-pressure second refrigerant gas chills and liquefies the natural gas in the main cryogenic heat exchanger 804, to produce liquefied natural gas LNG. Reference number 807 and 808 designate heat exchangers arranged at the delivery side of the first compressor 13A and of the second compressor 13B, to remove heat from the compressed first and second refrigerant gas by heat exchange, e.g. against water or air.
FIG. 41 illustrates a dual-refrigerant LNG cycle, marketed under the trademark AP-X®. The LNG system is again labeled 5 as a whole. A first refrigerant gas cycle 901 contains a first refrigerant gas, e.g. propane, which is used to pre-cool natural gas NG and to further pre-cool a second refrigerant gas, e.g. a mixed refrigerant gas, which is processed in a second refrigerant gas cycle 902. In the schematic of FIG. 41 two separate compressor trains 1A, 1B are shown, including a respective first compressor first compressor section 13A and a respective second compressor or second compressor section 13B. Each compressor section may include one or more compressors or compressor phases. In the schematic of FIG. 41 each compressor train 1A, 1B has a respective driver section 11A, 11B, coupled to the compressor or compressor section 13A, 13B. It shall, however, be understood that different arrangements are possible. For instance a single compressor train may include both the first and the second compressor section 13A, 13B, both driven by the same driver section. In other embodiments, two compressor trains in parallel can be used, each including a respective compressor section of the first and second refrigerant gas cycle 901, 902. In yet further embodiments, two compressor trains can be provided, one including compressor(s) processing the first or the second refrigerant gas and the other containing separate compressors for processing both the first and the second refrigerant gas.
In the schematic of FIG. 41 reference 903 represents pre-cooling heat exchangers, wherein side flows of the first refrigerant gas at different pressure levels, processed by the first compressor or compressor section 13A, are uses to pre-cool the natural gas and to further pre-cool the second refrigerant gas. Pre-cooled, second refrigerant gas, processed by the second compressor or compressor section 13B is delivered to a main cryogenic heat exchanger 904, and expanded in an expander or an expansion valve 905. The expanded, low-temperature and low-pressure second refrigerant gas chills and possibly liquefies the natural gas in the main cryogenic heat exchanger 904.
Reference number 907 and 908 designate heat exchangers arranged at the delivery side of the first compressor 13A and of the second compressor 13B, to remove heat from the compressed first and second refrigerant gas by heat exchange, e.g. against water or air.
Liquefied natural gas from the main cryogenic heat exchanger 904 can be sub-cooled in a sub-cooler 912, where a third refrigerant gas circulates. The third refrigerant gas, e.g. nitrogen, can be processed in a third refrigerant gas circuit 910 comprising a third compressor or a third compressor section 13C which can be part of a third compressor train 1C. The third refrigerant gas can be processed by the third compressor section or compressor 13C, cooled in a heat exchanger 911 against water or air, for instance and expanded in an expander 913 or an expansion valve. An economizer 914 can be further comprised in the third refrigerant gas cycle 910.
As already discussed in connection with the previously described LNG systems, the compressors or compressor sections 13A, 13B, 13C and the relevant driver sections 11A, 11B, 11C can be variously combined with one another, by providing e.g. more compressors on one and the same train, even for processing different refrigerant gases, and/or more compressors in parallel for processing the same refrigerant gas may be arranged in different trains, if suitable e.g. in view of the requested flow rates.
The above briefly described refrigeration systems are known in the art and do not require detailed description. They are mentioned herein to illustrate that various possible combinations of compressor trains described above can be used in combination with any one of several possible different LNG liquefaction systems.
Refrigerants which can be used in the cooling and liquefaction systems 5 may include: methane, propane, ethylene, nitrogen or mixtures thereof (mixed refrigerants).
The number and arrangement of compressor trains and relevant drivers can be different and dependent upon the kind of refrigeration system, the number and nature of refrigerant gas used, as well as upon the overall production rate of the LNG system. Specifically, as briefly mentioned above in connection with some of the exemplary embodiments illustrated, compressors can be differently arranged and combined on one or more compressor trains, depending upon needs, in particular depending upon the number of refrigerant gas circuits, the requested flow rate in each circuit, the rotational speed of each refrigerant gas compressor, the number of compressors in each cycle, which in turn can depend upon how the compression ratios are distributed among one or more compressors or compressor sections, wherein each compressor or compressor section can in turn include one or more compressor stages, as above described in more detail.
Broadly speaking, power rates ranging between approximately 30 and 40 MW are required for each mega tons per year (MTPA) of liquefied natural gas produced by the system 5.
The compressor train can be configured for on-shore or off-shore installations. In some embodiments, one or more machines of the compressor train, preferably all machines of the compressor train, including some or all auxiliaries, can be arranged on a transportable module.
While in the above description reference has been made to gas turbine engines and internal combustion reciprocating engines as well as to steam or vapor turbines as separate and alternative drivers, according to some embodiments, combined cycles can be used for enhancing the overall thermal efficiency of the system. According to some embodiments, co-generation configurations can also be envisaged. For instance, a waste heat recovery exchanger can be configured and arranged to remove heat from combustion gas at the exhaust stack of a gas turbine engine or of a reciprocating internal combustion engine used as a main driver in a compressor train according to the above described arrangements. Recovered waste heat can be used in a bottom thermodynamic cycle, for instance a steam Rankine cycle or an ORC (Organic Rankine Cycle), wherein a steam or vapor turbine or expander converts part of the low-temperature heat into further mechanical power for driving the shaft line of the same compressor train where the gas turbine engine or reciprocating engine is arranged, or else to drive a separate additional compressor train.
Thus, according to embodiments of the present disclosure, the driver section can comprise a combustion engine producing waste heat which can be exploited in a bottom thermodynamic cycle through a waste heat recovery heat exchanger which is in heat exchange relationship with a closed circuit, wherein a heat-carrying fluid circulates to remove heat from the combustion gas. The waste heat recovery heat exchanger can be in heat exchange relationship with a thermodynamic cycle; wherein a mechanical work producing machine is arranged in the thermodynamic cycle, and wherein the thermodynamic cycle is configured to convert thermal power from the waste heat recovery heat exchanger into mechanical power. The mechanical work producing machine can be drivingly coupled to either the compressor train or to a separate rotating load, preferably an electric generator, to convert mechanical power generated by the mechanical work producing machine into electrical power.
Exemplary embodiments of compressor trains using combined top cycle and bottom cycle are shown in FIGS. 43, 44 and 45.
According to FIG. 43 a compressor train 1 comprises a driver section 11 which may comprise a gas turbine engine or another internal combustion engine, a refrigerant gas compressor section 13 and an auxiliary machine 17. The compressor train 1 can be configured according to any one of the above disclosed arrangements. A waste heat recovery exchanger (WHR exchanger) 100 is arranged at the discharge of the gas turbine engine 11. The combustion gas of the gas turbine engine 11 flows through the hot side of the WHR exchanger 100. A working fluid of a closed bottom thermodynamic cycle 101 flows through the cold side of the WHR exchanger 100. The bottom thermodynamic cycle 101 comprises a steam or vapor turbine or an expander 102, a condenser 104 and a pump 106. High-pressure working fluid is heated and vaporized in the WHR exchanger 100 by exchanging heat against the combustion gas. Hot pressurized working fluid is expanded in turbine 102. The enthalpy drop in turbine 102 generates mechanical power. In the exemplary embodiment of FIG. 43 the turbine 102 is arranged along the shaft line 2 such that mechanical power generated therewith is used to drive the gas compressor section 13 in combination with the power generated by the gas turbine engine 11.
According to the embodiment of FIG. 44 a compressor train 1.1 comprises a driver section 11 which may comprise a gas turbine engine or another internal combustion engine, a gas compressor section 13.1 and an auxiliary machine 17.1. The compressor train 1 can be configured according to any one of the above disclosed arrangements. A waste heat recover exchanger (WHR exchanger) 100 is arranged at the discharge of the gas turbine engine 11. The combustion gas of the gas turbine engine 11 flows through the hot side of the WHR exchanger 100. A working fluid of a closed bottom thermodynamic cycle 101 flows through the cold side of the WHR exchanger 100. The bottom thermodynamic cycle 101 comprises a steam or vapor turbine or an expander 102, a condenser 104 and a pump 106. High-pressure working fluid is heated and vaporized in the WHR exchanger 100 by exchanging heat against the combustion gas. Hot pressurized working fluid is expanded in turbine 102. The enthalpy drop in turbine 102 generates mechanical power. In the exemplary embodiment of FIG. 44, the turbine 102 forms part of a second compressor train 1.2, which further comprises a gas compressor section 13.2 and can comprise an auxiliary machine 17.2. The mechanical power generated by the enthalpy drop across turbine 102 is thus used to drive a separate compressor train 1.2, different from compressor train 1.1 where the gas turbine engine of the top thermodynamic cycle is arranged.
While in FIGS. 43 and 44 mechanical power generated by the bottom thermodynamic cycle is used to drive a compressor section, according to other embodiments additional power generated by the heat recovered through the WHR exchanger 100 can be used to drive auxiliary machines or devices, for instance an electric generator. In FIG. 45, wherein the same reference numbers are used to designate the same or equivalent components as in FIGS. 43 and 44, the top thermodynamic cycle comprising the gas turbine engine 11 is coupled to a bottom thermodynamic cycle 101. The turbine 102 of the bottom thermodynamic cycle 101 converts the enthalpy drop of the low-temperature working fluid of the bottom thermodynamic cycle into mechanical power that is used to drive an electric generator 108 to convert the mechanical power into electric power, which can be used to power any generic electric load or which can be delivered to an electrical power distribution grid G.
In yet other embodiments, not shown, heat recovered at the WHR exchanger 100 can be used as such, for instance for heating a fluid in another process, for air conditioning or for any other purpose.
According to some exemplary embodiments, the WHR exchanger 100 can be used to produce steam or vapor, or to heat a stream of a heat transfer fluid in a gaseous, vapor, liquid or combined liquid-vapor state, to be used to purify the Natural Gas upstream from the LNG plant or to supply heat to other processing units such as those installed to purify and distillate crude oil, LPGs, and other by-products.
While the disclosed embodiments of the subject matter described herein have been shown in the drawings and fully described above with particularity and detail in connection with several exemplary embodiments, it will be apparent to those of ordinary skill in the art that many modifications, changes, and omissions are possible without materially departing from the novel teachings, the principles and concepts set forth herein, and advantages of the subject matter recited in the appended claims. Hence, the proper scope of the disclosed innovations should be determined only by the broadest interpretation of the appended claims so as to encompass all such modifications, changes, and omissions. In addition, the order or sequence of any process or method steps may be varied or re-sequenced according to alternative embodiments.

Claims

1. An LNG refrigerant compressor train comprising: a driver section, drivingly coupled to a compressor section through a shaft line, wherein the compressor section is comprised of at least one refrigerant fluid compressor, driven into rotation by said driver section.

2. The LNG refrigerant compressor train of claim 1, wherein the driver section comprises at least one of the following: an internal combustion engine; a gas turbine engine; an electric motor, a steam turbine; a reciprocating gas engine.

3. The LNG refrigerant compressor train of claim 1, wherein the driver section comprises a gas turbine engine selected from the group consisting of: a 1-spool gas turbine; a 1.5-spool gas turbine; a 2-spool gas turbine; a 3-spool gas turbine.

4. The LNG refrigerant compressor train of claim 1, wherein the driver section comprises an electric motor having a constant speed, or an electric motor having a variable speed.

5. The LNG refrigerant compressor train of claim 1, wherein the compressor section comprises at least one refrigerant compressor and preferably less than five refrigerant compressors, drivingly coupled to the driver section.

6. The LNG refrigerant compressor train of claim 1, wherein the compressor section comprises at least one dynamic compressor or one positive-displacement compressor.

7. The LNG refrigerant compressor train of claim 1, wherein the compressor section comprises one or more of the following:

a single stage beam type centrifugal compressor;

a single stage overhung type centrifugal compressor;

a multi-stage straight-through centrifugal compressor;

a multi-stage back-to-back centrifugal compressor;

a multi-stage double-flow centrifugal compressor;

a multi-stage centrifugal compressor with side streams and/or extractions;

an integrally-geared centrifugal compressor;

a straight-through axial compressor;

an axial compressor with side stream/s and/or extractions;

an axial/radial compressor.

8. The LNG refrigerant compressor train of claim 1, further comprising at least one auxiliary machine driven by the driver section and mechanically coupled to at least one compressor of the compressor section, wherein the auxiliary machine comprises one or more of the following:

an electric generator;

an electric or steam helper;

an electric or steam starter;

an electric or steam starter-helper;

an electric or steam electric starter-helper-generator;

a further compressor.

9. The LNG refrigerant compressor train of claim 1, wherein the driver section comprises at least one internal combustion engine, and wherein a waste heat recovery heat exchanger is arranged to recover heat from combustion gas discharged from said internal combustion engine.

10. The LNG refrigerant compressor train of claim 1, wherein the shaft line comprises one or more of the following: a rigid joint, a flexible joint, a clutch, a speed manipulation device, or a combination thereof, arranged between two or more pairs of sequentially arranged rotating machines along said shaft line.

11. The LNG refrigerant compressor train of claim 1, wherein at least one of said compressors is selected from the group consisting of: a vertically split compressor, a horizontally split compressor; and wherein if more than one compressor is present in the train, each compressor can independently be a horizontally split compressor or a vertically split compressor.

12. The LNG refrigerant compressor train of claim 1, wherein the driver section comprises a 1-spool gas turbine or a 2-spool gas turbine or a 3-spool gas turbine, and wherein at last one refrigerant fluid compressor of the compressor section is connected to the hot end or to the cold end of the driver section.

13. The LNG refrigerant compressor train of claim 1, wherein the driver section comprises a gas turbine engine, the gas turbine engine comprising at least one of an inlet chiller, arranged at the inlet of the gas turbine engine, and an intercooler between two sequentially arranged air compressor sections of the gas turbine engine.

14. The LNG refrigerant compressor train of claim 1, wherein at least one rotary machine of the driver section and/or of the compressor section comprises at least one bearing selected from the group consisting of: hydrodynamic bearings, hydrostatic bearings, magnetic bearings, rolling bearings, or combinations thereof.

15. The LNG refrigerant compressor train of claim 1, wherein at least one of a turbomachine of the driver section and a turbomachine of the compressor section comprises guide vanes.

16. The LNG refrigerant compressor train of claim 1, wherein the compressor section comprises at least two refrigerant fluid compressors arranged in a common casing.

17. The LNG refrigerant compressor train of claim 1, comprising a combination of rotating machines arranged according to any configuration generated by the flow chart of FIG. 32.

18. The LNG refrigerant compressor train of claim 1, comprising at least an HPRC compressor.

19. A system comprising at least one LNG compressor train according to claim 1, wherein the at least one refrigerant compressor thereof is fluidly coupled to a heat exchange arrangement, in heat exchange relationship with at least one of a natural gas flow and a refrigerant fluid.

20. The system of claim 19, comprising at least two and preferably less than 7 compressor trains.

21. The system of claim 19 or 20, configured as an on-shore or as an off-shore system.

22. An LNG plant, comprising at least one system and preferably less than six systems according to claim 19.