SlideShare une entreprise Scribd logo
1  sur  17
Télécharger pour lire hors ligne
DEMOGRAPHYCAL
    MIGRATION
 MODELING WITH GIS
• INSTITUTE OF APPLIED SYSTEM
  ANALYSIS (UKRAINE)
• Prof. A .Makarenko, S.Trofimenko
• E-mail: makalex@i.com.ua
GOALS AND APPROACH
• MODELING OF MIGRATION
  SCENAROOS
• DIFFERENT ATTITUDES OF
  POPULATION
• MULTIAGENT AND CELLULAR
  MODELS
• GEOINFORMATIONAL SYSTEMS AND
  REAL DATA BASE
CASE OF CAPITAL ATTRACTIVITY



    1   1       1
    ↓   ↓       ↓
    3   1   2   5   1   3      1
    →   →   →       ←   ←      ↓
    1   2       1   1   1      1   2
    ↑   ↑       ↑   ←   ↓      ↓   ←
    1       1       1   4      5   1
    ↑       →       →   →          ←
                1   1   1      2
                ↑   ←   ↑      ↑
                2   1
                ↑   ←
                    1
                    ↑
4   3   2   9   1   2   1
→   →   →       ←   ←   ↓
1   1       1           1   2
↑   ↑       ↑           ↓   ←
            2       6   9
            ↑       →
            1           1
            ↑           ↑
            2   1
            ↑   ←
4   4   2   12   1   1
→   →   →        ←   ←
            1            2    1
            ↑            ↓    ←
            2        5   12
            ↑        →
            1
            ↑
            2
            ↑
3   4   2   15   1
→   →   →        ←
            1            2
            ↑            ←
            2        4   14
            ↑        ←   ←
            1
            ↑
            1
            ↑
2   4   2   18   1
→   →   →        ←
            1        1   1
            ↑        ←   ←
            2    1   4   13
            ↑    ←   ←   ←
            1
            ↑
1   4   2   21
→   →   →
            1    1   1
            ↑    ←   ←
            3    1   4   12
            ↑    ←   ←   ←
4   2   23
→   →
        1    1
        ↑    ←
        3    1   4   11
        ↑    ←   ←   ←
3   2   25
→   →
        2
        ↑
        3    1   4   10
        ↑    ←   ←   ←
2   2   27
→   →
        2
        ↑
        3    1   4   9
        ↑    ←   ←   ←
1   2   29
→   →
        2
        ↑
        3    1   4   8
        ↑    ←   ←   ←
2   31
→
    2
    ↑
    3    1   4   7
    ↑    ←   ←   ←
1   33
→
    2
    ↑
    3    1   4   6
    ↑    ←   ←   ←
35


2
↑
3    1   4   5
↑    ←   ←   ←
40


2
↑
3    1   4
↑    ←   ←
50

Contenu connexe

En vedette

GIS & Facilities - NJAPPA Talk - April 26 2012
GIS & Facilities - NJAPPA Talk - April 26 2012GIS & Facilities - NJAPPA Talk - April 26 2012
GIS & Facilities - NJAPPA Talk - April 26 2012John Reiser
 
Models of spatial process by sushant
Models of spatial process by sushantModels of spatial process by sushant
Models of spatial process by sushantsushantsawant13
 
GIS for Facilities Overview
GIS for Facilities OverviewGIS for Facilities Overview
GIS for Facilities OverviewEsri
 
Hydrologic analysis
Hydrologic analysisHydrologic analysis
Hydrologic analysissaif07amu
 
Watershed analysis using GIS
Watershed analysis using GISWatershed analysis using GIS
Watershed analysis using GISAya Osman
 
Spatial Analysis Using GIS
Spatial Analysis Using GISSpatial Analysis Using GIS
Spatial Analysis Using GISPrachi Mehta
 
GIS in property management
GIS in property management GIS in property management
GIS in property management Samuel Dekolo
 
Gis Applications Presentation
Gis Applications PresentationGis Applications Presentation
Gis Applications PresentationIdua Olunwa
 

En vedette (11)

GIS & Facilities - NJAPPA Talk - April 26 2012
GIS & Facilities - NJAPPA Talk - April 26 2012GIS & Facilities - NJAPPA Talk - April 26 2012
GIS & Facilities - NJAPPA Talk - April 26 2012
 
Models of spatial process by sushant
Models of spatial process by sushantModels of spatial process by sushant
Models of spatial process by sushant
 
Sco historic gis_resources_nov2016_slideshare
Sco historic gis_resources_nov2016_slideshareSco historic gis_resources_nov2016_slideshare
Sco historic gis_resources_nov2016_slideshare
 
Gps
GpsGps
Gps
 
GIS for Facilities Overview
GIS for Facilities OverviewGIS for Facilities Overview
GIS for Facilities Overview
 
Hydrologic analysis
Hydrologic analysisHydrologic analysis
Hydrologic analysis
 
Watershed analysis using GIS
Watershed analysis using GISWatershed analysis using GIS
Watershed analysis using GIS
 
Raster data model
Raster data modelRaster data model
Raster data model
 
Spatial Analysis Using GIS
Spatial Analysis Using GISSpatial Analysis Using GIS
Spatial Analysis Using GIS
 
GIS in property management
GIS in property management GIS in property management
GIS in property management
 
Gis Applications Presentation
Gis Applications PresentationGis Applications Presentation
Gis Applications Presentation
 

Plus de SSA KPI

Germany presentation
Germany presentationGermany presentation
Germany presentationSSA KPI
 
Grand challenges in energy
Grand challenges in energyGrand challenges in energy
Grand challenges in energySSA KPI
 
Engineering role in sustainability
Engineering role in sustainabilityEngineering role in sustainability
Engineering role in sustainabilitySSA KPI
 
Consensus and interaction on a long term strategy for sustainable development
Consensus and interaction on a long term strategy for sustainable developmentConsensus and interaction on a long term strategy for sustainable development
Consensus and interaction on a long term strategy for sustainable developmentSSA KPI
 
Competences in sustainability in engineering education
Competences in sustainability in engineering educationCompetences in sustainability in engineering education
Competences in sustainability in engineering educationSSA KPI
 
Introducatio SD for enginers
Introducatio SD for enginersIntroducatio SD for enginers
Introducatio SD for enginersSSA KPI
 
DAAD-10.11.2011
DAAD-10.11.2011DAAD-10.11.2011
DAAD-10.11.2011SSA KPI
 
Talking with money
Talking with moneyTalking with money
Talking with moneySSA KPI
 
'Green' startup investment
'Green' startup investment'Green' startup investment
'Green' startup investmentSSA KPI
 
From Huygens odd sympathy to the energy Huygens' extraction from the sea waves
From Huygens odd sympathy to the energy Huygens' extraction from the sea wavesFrom Huygens odd sympathy to the energy Huygens' extraction from the sea waves
From Huygens odd sympathy to the energy Huygens' extraction from the sea wavesSSA KPI
 
Dynamics of dice games
Dynamics of dice gamesDynamics of dice games
Dynamics of dice gamesSSA KPI
 
Energy Security Costs
Energy Security CostsEnergy Security Costs
Energy Security CostsSSA KPI
 
Naturally Occurring Radioactivity (NOR) in natural and anthropic environments
Naturally Occurring Radioactivity (NOR) in natural and anthropic environmentsNaturally Occurring Radioactivity (NOR) in natural and anthropic environments
Naturally Occurring Radioactivity (NOR) in natural and anthropic environmentsSSA KPI
 
Advanced energy technology for sustainable development. Part 5
Advanced energy technology for sustainable development. Part 5Advanced energy technology for sustainable development. Part 5
Advanced energy technology for sustainable development. Part 5SSA KPI
 
Advanced energy technology for sustainable development. Part 4
Advanced energy technology for sustainable development. Part 4Advanced energy technology for sustainable development. Part 4
Advanced energy technology for sustainable development. Part 4SSA KPI
 
Advanced energy technology for sustainable development. Part 3
Advanced energy technology for sustainable development. Part 3Advanced energy technology for sustainable development. Part 3
Advanced energy technology for sustainable development. Part 3SSA KPI
 
Advanced energy technology for sustainable development. Part 2
Advanced energy technology for sustainable development. Part 2Advanced energy technology for sustainable development. Part 2
Advanced energy technology for sustainable development. Part 2SSA KPI
 
Advanced energy technology for sustainable development. Part 1
Advanced energy technology for sustainable development. Part 1Advanced energy technology for sustainable development. Part 1
Advanced energy technology for sustainable development. Part 1SSA KPI
 
Fluorescent proteins in current biology
Fluorescent proteins in current biologyFluorescent proteins in current biology
Fluorescent proteins in current biologySSA KPI
 
Neurotransmitter systems of the brain and their functions
Neurotransmitter systems of the brain and their functionsNeurotransmitter systems of the brain and their functions
Neurotransmitter systems of the brain and their functionsSSA KPI
 

Plus de SSA KPI (20)

Germany presentation
Germany presentationGermany presentation
Germany presentation
 
Grand challenges in energy
Grand challenges in energyGrand challenges in energy
Grand challenges in energy
 
Engineering role in sustainability
Engineering role in sustainabilityEngineering role in sustainability
Engineering role in sustainability
 
Consensus and interaction on a long term strategy for sustainable development
Consensus and interaction on a long term strategy for sustainable developmentConsensus and interaction on a long term strategy for sustainable development
Consensus and interaction on a long term strategy for sustainable development
 
Competences in sustainability in engineering education
Competences in sustainability in engineering educationCompetences in sustainability in engineering education
Competences in sustainability in engineering education
 
Introducatio SD for enginers
Introducatio SD for enginersIntroducatio SD for enginers
Introducatio SD for enginers
 
DAAD-10.11.2011
DAAD-10.11.2011DAAD-10.11.2011
DAAD-10.11.2011
 
Talking with money
Talking with moneyTalking with money
Talking with money
 
'Green' startup investment
'Green' startup investment'Green' startup investment
'Green' startup investment
 
From Huygens odd sympathy to the energy Huygens' extraction from the sea waves
From Huygens odd sympathy to the energy Huygens' extraction from the sea wavesFrom Huygens odd sympathy to the energy Huygens' extraction from the sea waves
From Huygens odd sympathy to the energy Huygens' extraction from the sea waves
 
Dynamics of dice games
Dynamics of dice gamesDynamics of dice games
Dynamics of dice games
 
Energy Security Costs
Energy Security CostsEnergy Security Costs
Energy Security Costs
 
Naturally Occurring Radioactivity (NOR) in natural and anthropic environments
Naturally Occurring Radioactivity (NOR) in natural and anthropic environmentsNaturally Occurring Radioactivity (NOR) in natural and anthropic environments
Naturally Occurring Radioactivity (NOR) in natural and anthropic environments
 
Advanced energy technology for sustainable development. Part 5
Advanced energy technology for sustainable development. Part 5Advanced energy technology for sustainable development. Part 5
Advanced energy technology for sustainable development. Part 5
 
Advanced energy technology for sustainable development. Part 4
Advanced energy technology for sustainable development. Part 4Advanced energy technology for sustainable development. Part 4
Advanced energy technology for sustainable development. Part 4
 
Advanced energy technology for sustainable development. Part 3
Advanced energy technology for sustainable development. Part 3Advanced energy technology for sustainable development. Part 3
Advanced energy technology for sustainable development. Part 3
 
Advanced energy technology for sustainable development. Part 2
Advanced energy technology for sustainable development. Part 2Advanced energy technology for sustainable development. Part 2
Advanced energy technology for sustainable development. Part 2
 
Advanced energy technology for sustainable development. Part 1
Advanced energy technology for sustainable development. Part 1Advanced energy technology for sustainable development. Part 1
Advanced energy technology for sustainable development. Part 1
 
Fluorescent proteins in current biology
Fluorescent proteins in current biologyFluorescent proteins in current biology
Fluorescent proteins in current biology
 
Neurotransmitter systems of the brain and their functions
Neurotransmitter systems of the brain and their functionsNeurotransmitter systems of the brain and their functions
Neurotransmitter systems of the brain and their functions
 

Dernier

Grant Readiness 101 TechSoup and Remy Consulting
Grant Readiness 101 TechSoup and Remy ConsultingGrant Readiness 101 TechSoup and Remy Consulting
Grant Readiness 101 TechSoup and Remy ConsultingTechSoup
 
social pharmacy d-pharm 1st year by Pragati K. Mahajan
social pharmacy d-pharm 1st year by Pragati K. Mahajansocial pharmacy d-pharm 1st year by Pragati K. Mahajan
social pharmacy d-pharm 1st year by Pragati K. Mahajanpragatimahajan3
 
Advanced Views - Calendar View in Odoo 17
Advanced Views - Calendar View in Odoo 17Advanced Views - Calendar View in Odoo 17
Advanced Views - Calendar View in Odoo 17Celine George
 
Sanyam Choudhary Chemistry practical.pdf
Sanyam Choudhary Chemistry practical.pdfSanyam Choudhary Chemistry practical.pdf
Sanyam Choudhary Chemistry practical.pdfsanyamsingh5019
 
9548086042 for call girls in Indira Nagar with room service
9548086042  for call girls in Indira Nagar  with room service9548086042  for call girls in Indira Nagar  with room service
9548086042 for call girls in Indira Nagar with room servicediscovermytutordmt
 
SOCIAL AND HISTORICAL CONTEXT - LFTVD.pptx
SOCIAL AND HISTORICAL CONTEXT - LFTVD.pptxSOCIAL AND HISTORICAL CONTEXT - LFTVD.pptx
SOCIAL AND HISTORICAL CONTEXT - LFTVD.pptxiammrhaywood
 
Disha NEET Physics Guide for classes 11 and 12.pdf
Disha NEET Physics Guide for classes 11 and 12.pdfDisha NEET Physics Guide for classes 11 and 12.pdf
Disha NEET Physics Guide for classes 11 and 12.pdfchloefrazer622
 
Q4-W6-Restating Informational Text Grade 3
Q4-W6-Restating Informational Text Grade 3Q4-W6-Restating Informational Text Grade 3
Q4-W6-Restating Informational Text Grade 3JemimahLaneBuaron
 
Accessible design: Minimum effort, maximum impact
Accessible design: Minimum effort, maximum impactAccessible design: Minimum effort, maximum impact
Accessible design: Minimum effort, maximum impactdawncurless
 
Kisan Call Centre - To harness potential of ICT in Agriculture by answer farm...
Kisan Call Centre - To harness potential of ICT in Agriculture by answer farm...Kisan Call Centre - To harness potential of ICT in Agriculture by answer farm...
Kisan Call Centre - To harness potential of ICT in Agriculture by answer farm...Krashi Coaching
 
Russian Call Girls in Andheri Airport Mumbai WhatsApp 9167673311 💞 Full Nigh...
Russian Call Girls in Andheri Airport Mumbai WhatsApp  9167673311 💞 Full Nigh...Russian Call Girls in Andheri Airport Mumbai WhatsApp  9167673311 💞 Full Nigh...
Russian Call Girls in Andheri Airport Mumbai WhatsApp 9167673311 💞 Full Nigh...Pooja Nehwal
 
BASLIQ CURRENT LOOKBOOK LOOKBOOK(1) (1).pdf
BASLIQ CURRENT LOOKBOOK  LOOKBOOK(1) (1).pdfBASLIQ CURRENT LOOKBOOK  LOOKBOOK(1) (1).pdf
BASLIQ CURRENT LOOKBOOK LOOKBOOK(1) (1).pdfSoniaTolstoy
 
BAG TECHNIQUE Bag technique-a tool making use of public health bag through wh...
BAG TECHNIQUE Bag technique-a tool making use of public health bag through wh...BAG TECHNIQUE Bag technique-a tool making use of public health bag through wh...
BAG TECHNIQUE Bag technique-a tool making use of public health bag through wh...Sapna Thakur
 
Organic Name Reactions for the students and aspirants of Chemistry12th.pptx
Organic Name Reactions  for the students and aspirants of Chemistry12th.pptxOrganic Name Reactions  for the students and aspirants of Chemistry12th.pptx
Organic Name Reactions for the students and aspirants of Chemistry12th.pptxVS Mahajan Coaching Centre
 
JAPAN: ORGANISATION OF PMDA, PHARMACEUTICAL LAWS & REGULATIONS, TYPES OF REGI...
JAPAN: ORGANISATION OF PMDA, PHARMACEUTICAL LAWS & REGULATIONS, TYPES OF REGI...JAPAN: ORGANISATION OF PMDA, PHARMACEUTICAL LAWS & REGULATIONS, TYPES OF REGI...
JAPAN: ORGANISATION OF PMDA, PHARMACEUTICAL LAWS & REGULATIONS, TYPES OF REGI...anjaliyadav012327
 
Measures of Dispersion and Variability: Range, QD, AD and SD
Measures of Dispersion and Variability: Range, QD, AD and SDMeasures of Dispersion and Variability: Range, QD, AD and SD
Measures of Dispersion and Variability: Range, QD, AD and SDThiyagu K
 
Student login on Anyboli platform.helpin
Student login on Anyboli platform.helpinStudent login on Anyboli platform.helpin
Student login on Anyboli platform.helpinRaunakKeshri1
 
Activity 01 - Artificial Culture (1).pdf
Activity 01 - Artificial Culture (1).pdfActivity 01 - Artificial Culture (1).pdf
Activity 01 - Artificial Culture (1).pdfciinovamais
 

Dernier (20)

Grant Readiness 101 TechSoup and Remy Consulting
Grant Readiness 101 TechSoup and Remy ConsultingGrant Readiness 101 TechSoup and Remy Consulting
Grant Readiness 101 TechSoup and Remy Consulting
 
social pharmacy d-pharm 1st year by Pragati K. Mahajan
social pharmacy d-pharm 1st year by Pragati K. Mahajansocial pharmacy d-pharm 1st year by Pragati K. Mahajan
social pharmacy d-pharm 1st year by Pragati K. Mahajan
 
Advanced Views - Calendar View in Odoo 17
Advanced Views - Calendar View in Odoo 17Advanced Views - Calendar View in Odoo 17
Advanced Views - Calendar View in Odoo 17
 
Sanyam Choudhary Chemistry practical.pdf
Sanyam Choudhary Chemistry practical.pdfSanyam Choudhary Chemistry practical.pdf
Sanyam Choudhary Chemistry practical.pdf
 
Advance Mobile Application Development class 07
Advance Mobile Application Development class 07Advance Mobile Application Development class 07
Advance Mobile Application Development class 07
 
9548086042 for call girls in Indira Nagar with room service
9548086042  for call girls in Indira Nagar  with room service9548086042  for call girls in Indira Nagar  with room service
9548086042 for call girls in Indira Nagar with room service
 
SOCIAL AND HISTORICAL CONTEXT - LFTVD.pptx
SOCIAL AND HISTORICAL CONTEXT - LFTVD.pptxSOCIAL AND HISTORICAL CONTEXT - LFTVD.pptx
SOCIAL AND HISTORICAL CONTEXT - LFTVD.pptx
 
Disha NEET Physics Guide for classes 11 and 12.pdf
Disha NEET Physics Guide for classes 11 and 12.pdfDisha NEET Physics Guide for classes 11 and 12.pdf
Disha NEET Physics Guide for classes 11 and 12.pdf
 
Q4-W6-Restating Informational Text Grade 3
Q4-W6-Restating Informational Text Grade 3Q4-W6-Restating Informational Text Grade 3
Q4-W6-Restating Informational Text Grade 3
 
Accessible design: Minimum effort, maximum impact
Accessible design: Minimum effort, maximum impactAccessible design: Minimum effort, maximum impact
Accessible design: Minimum effort, maximum impact
 
Kisan Call Centre - To harness potential of ICT in Agriculture by answer farm...
Kisan Call Centre - To harness potential of ICT in Agriculture by answer farm...Kisan Call Centre - To harness potential of ICT in Agriculture by answer farm...
Kisan Call Centre - To harness potential of ICT in Agriculture by answer farm...
 
Russian Call Girls in Andheri Airport Mumbai WhatsApp 9167673311 💞 Full Nigh...
Russian Call Girls in Andheri Airport Mumbai WhatsApp  9167673311 💞 Full Nigh...Russian Call Girls in Andheri Airport Mumbai WhatsApp  9167673311 💞 Full Nigh...
Russian Call Girls in Andheri Airport Mumbai WhatsApp 9167673311 💞 Full Nigh...
 
BASLIQ CURRENT LOOKBOOK LOOKBOOK(1) (1).pdf
BASLIQ CURRENT LOOKBOOK  LOOKBOOK(1) (1).pdfBASLIQ CURRENT LOOKBOOK  LOOKBOOK(1) (1).pdf
BASLIQ CURRENT LOOKBOOK LOOKBOOK(1) (1).pdf
 
BAG TECHNIQUE Bag technique-a tool making use of public health bag through wh...
BAG TECHNIQUE Bag technique-a tool making use of public health bag through wh...BAG TECHNIQUE Bag technique-a tool making use of public health bag through wh...
BAG TECHNIQUE Bag technique-a tool making use of public health bag through wh...
 
Organic Name Reactions for the students and aspirants of Chemistry12th.pptx
Organic Name Reactions  for the students and aspirants of Chemistry12th.pptxOrganic Name Reactions  for the students and aspirants of Chemistry12th.pptx
Organic Name Reactions for the students and aspirants of Chemistry12th.pptx
 
INDIA QUIZ 2024 RLAC DELHI UNIVERSITY.pptx
INDIA QUIZ 2024 RLAC DELHI UNIVERSITY.pptxINDIA QUIZ 2024 RLAC DELHI UNIVERSITY.pptx
INDIA QUIZ 2024 RLAC DELHI UNIVERSITY.pptx
 
JAPAN: ORGANISATION OF PMDA, PHARMACEUTICAL LAWS & REGULATIONS, TYPES OF REGI...
JAPAN: ORGANISATION OF PMDA, PHARMACEUTICAL LAWS & REGULATIONS, TYPES OF REGI...JAPAN: ORGANISATION OF PMDA, PHARMACEUTICAL LAWS & REGULATIONS, TYPES OF REGI...
JAPAN: ORGANISATION OF PMDA, PHARMACEUTICAL LAWS & REGULATIONS, TYPES OF REGI...
 
Measures of Dispersion and Variability: Range, QD, AD and SD
Measures of Dispersion and Variability: Range, QD, AD and SDMeasures of Dispersion and Variability: Range, QD, AD and SD
Measures of Dispersion and Variability: Range, QD, AD and SD
 
Student login on Anyboli platform.helpin
Student login on Anyboli platform.helpinStudent login on Anyboli platform.helpin
Student login on Anyboli platform.helpin
 
Activity 01 - Artificial Culture (1).pdf
Activity 01 - Artificial Culture (1).pdfActivity 01 - Artificial Culture (1).pdf
Activity 01 - Artificial Culture (1).pdf
 

Demographic Migration Modelling with GIS

  • 1. DEMOGRAPHYCAL MIGRATION MODELING WITH GIS • INSTITUTE OF APPLIED SYSTEM ANALYSIS (UKRAINE) • Prof. A .Makarenko, S.Trofimenko • E-mail: makalex@i.com.ua
  • 2. GOALS AND APPROACH • MODELING OF MIGRATION SCENAROOS • DIFFERENT ATTITUDES OF POPULATION • MULTIAGENT AND CELLULAR MODELS • GEOINFORMATIONAL SYSTEMS AND REAL DATA BASE
  • 3. CASE OF CAPITAL ATTRACTIVITY 1 1 1 ↓ ↓ ↓ 3 1 2 5 1 3 1 → → → ← ← ↓ 1 2 1 1 1 1 2 ↑ ↑ ↑ ← ↓ ↓ ← 1 1 1 4 5 1 ↑ → → → ← 1 1 1 2 ↑ ← ↑ ↑ 2 1 ↑ ← 1 ↑
  • 4. 4 3 2 9 1 2 1 → → → ← ← ↓ 1 1 1 1 2 ↑ ↑ ↑ ↓ ← 2 6 9 ↑ → 1 1 ↑ ↑ 2 1 ↑ ←
  • 5. 4 4 2 12 1 1 → → → ← ← 1 2 1 ↑ ↓ ← 2 5 12 ↑ → 1 ↑ 2 ↑
  • 6. 3 4 2 15 1 → → → ← 1 2 ↑ ← 2 4 14 ↑ ← ← 1 ↑ 1 ↑
  • 7. 2 4 2 18 1 → → → ← 1 1 1 ↑ ← ← 2 1 4 13 ↑ ← ← ← 1 ↑
  • 8. 1 4 2 21 → → → 1 1 1 ↑ ← ← 3 1 4 12 ↑ ← ← ←
  • 9. 4 2 23 → → 1 1 ↑ ← 3 1 4 11 ↑ ← ← ←
  • 10. 3 2 25 → → 2 ↑ 3 1 4 10 ↑ ← ← ←
  • 11. 2 2 27 → → 2 ↑ 3 1 4 9 ↑ ← ← ←
  • 12. 1 2 29 → → 2 ↑ 3 1 4 8 ↑ ← ← ←
  • 13. 2 31 → 2 ↑ 3 1 4 7 ↑ ← ← ←
  • 14. 1 33 → 2 ↑ 3 1 4 6 ↑ ← ← ←
  • 15. 35 2 ↑ 3 1 4 5 ↑ ← ← ←
  • 16. 40 2 ↑ 3 1 4 ↑ ← ←
  • 17. 50