
Global Electromagnetic Simulation Software Industry Growth and Trends Forecast to 2031
Description
Summary
According to APO Research, The global Electromagnetic Simulation Software market was estimated at US$ million in 2025 and is projected to reach a revised size of US$ million by 2031, witnessing a CAGR of xx% during the forecast period 2026-2031.
North American market for Electromagnetic Simulation Software is estimated to increase from $ million in 2025 to reach $ million by 2031, at a CAGR of % during the forecast period of 2026 through 2031.
Asia-Pacific market for Electromagnetic Simulation Software is estimated to increase from $ million in 2025 to reach $ million by 2031, at a CAGR of % during the forecast period of 2026 through 2031.
Europe market for Electromagnetic Simulation Software is estimated to increase from $ million in 2025 to reach $ million by 2031, at a CAGR of % during the forecast period of 2026 through 2031.
The major global companies of Electromagnetic Simulation Software include ANSYS Inc., Dassault Systmes SE, Keysight Technologies, Cadence Design Systems, Altair Engineering, ESI Group, COMSOL, Remcom and EMPIRE (IMST GmbH), etc. In 2024, the world's top three vendors accounted for approximately % of the revenue.
Report Scope
This report aims to provide a comprehensive presentation of the global market for Electromagnetic Simulation Software, with both quantitative and qualitative analysis, to help readers develop business/growth strategies, assess the market competitive situation, analyze their position in the current marketplace, and make informed business decisions regarding Electromagnetic Simulation Software.
The Electromagnetic Simulation Software market size, estimations, and forecasts are provided in terms of revenue ($ millions), considering 2024 as the base year, with history and forecast data for the period from 2020 to 2031. This report segments the global Electromagnetic Simulation Software market comprehensively. Regional market sizes, concerning products by Type, by Application, and by players, are also provided. For a more in-depth understanding of the market, the report provides profiles of the competitive landscape, key competitors, and their respective market ranks. The report also discusses technological trends and new product developments.
Key Companies & Market Share Insights
In this section, the readers will gain an understanding of the key players competing. This report has studied the key growth strategies, such as innovative trends and developments, intensification of product portfolio, mergers and acquisitions, collaborations, new product innovation, and geographical expansion, undertaken by these participants to maintain their presence. Apart from business strategies, the study includes current developments and key financials. The readers will also get access to the data related to global revenue, gross margin by manufacturers for the period 2020-2025. This all-inclusive report will certainly serve the clients to stay updated and make effective decisions in their businesses.
Electromagnetic Simulation Software Segment by Company
ANSYS Inc.
Dassault Systmes SE
Keysight Technologies
Cadence Design Systems
Altair Engineering
ESI Group
COMSOL
Remcom
EMPIRE (IMST GmbH)
Mician GmbH
Sonnet Software
ElectroMagneticWorks
WIPL-D d.o.o.
Electromagnetic Simulation Software Segment by Type
Method of Moments
MLFMA
Finite-DifferenceTime-Domain
Finite Element Analysis
Physical Optics
Geometrical Optics
Others
Electromagnetic Simulation Software Segment by Application
Antenna Design and Analysis
Mobile Devices
Automotive Radar
Biomedicine
Wireless Communication
Electromagnetic Simulation Software Segment by Region
North America
United States
Canada
Mexico
Europe
Germany
France
U.K.
Italy
Russia
Spain
Netherlands
Switzerland
Sweden
Poland
Asia-Pacific
China
Japan
South Korea
India
Australia
Taiwan
Southeast Asia
South America
Brazil
Argentina
Chile
Middle East & Africa
Egypt
South Africa
Israel
Türkiye
GCC Countries
Key Drivers & Barriers
High-impact rendering factors and drivers have been studied in this report to aid the readers to understand the general development. Moreover, the report includes restraints and challenges that may act as stumbling blocks on the way of the players. This will assist the users to be attentive and make informed decisions related to business. Specialists have also laid their focus on the upcoming business prospects.
Reasons to Buy This Report
1. This report will help the readers to understand the competition within the industries and strategies for the competitive environment to enhance the potential profit. The report also focuses on the competitive landscape of the global Electromagnetic Simulation Software market, and introduces in detail the market share, industry ranking, competitor ecosystem, market performance, new product development, operation situation, expansion, and acquisition. etc. of the main players, which helps the readers to identify the main competitors and deeply understand the competition pattern of the market.
2. This report will help stakeholders to understand the global industry status and trends of Electromagnetic Simulation Software and provides them with information on key market drivers, restraints, challenges, and opportunities.
3. This report will help stakeholders to understand competitors better and gain more insights to strengthen their position in their businesses. The competitive landscape section includes the market share and rank (in value), competitor ecosystem, new product development, expansion, and acquisition.
4. This report stays updated with novel technology integration, features, and the latest developments in the market
5. This report helps stakeholders to gain insights into which regions to target globally
6. This report helps stakeholders to gain insights into the end-user perception concerning the adoption of Electromagnetic Simulation Software.
7. This report helps stakeholders to identify some of the key players in the market and understand their valuable contribution.
Chapter Outline
Chapter 1: Introduces the report scope of the report, executive summary of global and regional market size and CAGR for the history and forecast period (2020-2025, 2026-2031). It offers a high-level view of the current state of the market and its likely evolution in the short to mid-term, and long term.
Chapter 2: Provides the analysis of various market segments by type, covering the market size and development potential of each market segment, to help readers find the blue ocean market in different market segments.
Chapter 3: Provides the analysis of various market segments by application, covering the market size and development potential of each market segment, to help readers find the blue ocean market in different downstream markets.
Chapter 4: Introduces the market dynamics, latest developments of the market, the driving factors and restrictive factors of the market, the challenges and risks faced by manufacturers in the industry, and the analysis of relevant policies in the industry.
Chapter 5: Detailed analysis of Electromagnetic Simulation Software companies' competitive landscape, revenue, market share and ranking, latest development plan, merger, and acquisition information, etc.
Chapter 6: Provides profiles of key players, introducing the basic situation of the main companies in the market in detail, including product introduction, revenue, recent development, etc.
Chapter 7, 8, 9, 10 and 11: North America, Europe, Asia Pacific, South America, Middle East & Africa, revenue by country.
Chapter 12: Concluding Insights of the report
Please Note: Single-User license will be delivered via PDF from the publisher without the rights to print or to edit.
According to APO Research, The global Electromagnetic Simulation Software market was estimated at US$ million in 2025 and is projected to reach a revised size of US$ million by 2031, witnessing a CAGR of xx% during the forecast period 2026-2031.
North American market for Electromagnetic Simulation Software is estimated to increase from $ million in 2025 to reach $ million by 2031, at a CAGR of % during the forecast period of 2026 through 2031.
Asia-Pacific market for Electromagnetic Simulation Software is estimated to increase from $ million in 2025 to reach $ million by 2031, at a CAGR of % during the forecast period of 2026 through 2031.
Europe market for Electromagnetic Simulation Software is estimated to increase from $ million in 2025 to reach $ million by 2031, at a CAGR of % during the forecast period of 2026 through 2031.
The major global companies of Electromagnetic Simulation Software include ANSYS Inc., Dassault Systmes SE, Keysight Technologies, Cadence Design Systems, Altair Engineering, ESI Group, COMSOL, Remcom and EMPIRE (IMST GmbH), etc. In 2024, the world's top three vendors accounted for approximately % of the revenue.
Report Scope
This report aims to provide a comprehensive presentation of the global market for Electromagnetic Simulation Software, with both quantitative and qualitative analysis, to help readers develop business/growth strategies, assess the market competitive situation, analyze their position in the current marketplace, and make informed business decisions regarding Electromagnetic Simulation Software.
The Electromagnetic Simulation Software market size, estimations, and forecasts are provided in terms of revenue ($ millions), considering 2024 as the base year, with history and forecast data for the period from 2020 to 2031. This report segments the global Electromagnetic Simulation Software market comprehensively. Regional market sizes, concerning products by Type, by Application, and by players, are also provided. For a more in-depth understanding of the market, the report provides profiles of the competitive landscape, key competitors, and their respective market ranks. The report also discusses technological trends and new product developments.
Key Companies & Market Share Insights
In this section, the readers will gain an understanding of the key players competing. This report has studied the key growth strategies, such as innovative trends and developments, intensification of product portfolio, mergers and acquisitions, collaborations, new product innovation, and geographical expansion, undertaken by these participants to maintain their presence. Apart from business strategies, the study includes current developments and key financials. The readers will also get access to the data related to global revenue, gross margin by manufacturers for the period 2020-2025. This all-inclusive report will certainly serve the clients to stay updated and make effective decisions in their businesses.
Electromagnetic Simulation Software Segment by Company
ANSYS Inc.
Dassault Systmes SE
Keysight Technologies
Cadence Design Systems
Altair Engineering
ESI Group
COMSOL
Remcom
EMPIRE (IMST GmbH)
Mician GmbH
Sonnet Software
ElectroMagneticWorks
WIPL-D d.o.o.
Electromagnetic Simulation Software Segment by Type
Method of Moments
MLFMA
Finite-DifferenceTime-Domain
Finite Element Analysis
Physical Optics
Geometrical Optics
Others
Electromagnetic Simulation Software Segment by Application
Antenna Design and Analysis
Mobile Devices
Automotive Radar
Biomedicine
Wireless Communication
Electromagnetic Simulation Software Segment by Region
North America
United States
Canada
Mexico
Europe
Germany
France
U.K.
Italy
Russia
Spain
Netherlands
Switzerland
Sweden
Poland
Asia-Pacific
China
Japan
South Korea
India
Australia
Taiwan
Southeast Asia
South America
Brazil
Argentina
Chile
Middle East & Africa
Egypt
South Africa
Israel
Türkiye
GCC Countries
Key Drivers & Barriers
High-impact rendering factors and drivers have been studied in this report to aid the readers to understand the general development. Moreover, the report includes restraints and challenges that may act as stumbling blocks on the way of the players. This will assist the users to be attentive and make informed decisions related to business. Specialists have also laid their focus on the upcoming business prospects.
Reasons to Buy This Report
1. This report will help the readers to understand the competition within the industries and strategies for the competitive environment to enhance the potential profit. The report also focuses on the competitive landscape of the global Electromagnetic Simulation Software market, and introduces in detail the market share, industry ranking, competitor ecosystem, market performance, new product development, operation situation, expansion, and acquisition. etc. of the main players, which helps the readers to identify the main competitors and deeply understand the competition pattern of the market.
2. This report will help stakeholders to understand the global industry status and trends of Electromagnetic Simulation Software and provides them with information on key market drivers, restraints, challenges, and opportunities.
3. This report will help stakeholders to understand competitors better and gain more insights to strengthen their position in their businesses. The competitive landscape section includes the market share and rank (in value), competitor ecosystem, new product development, expansion, and acquisition.
4. This report stays updated with novel technology integration, features, and the latest developments in the market
5. This report helps stakeholders to gain insights into which regions to target globally
6. This report helps stakeholders to gain insights into the end-user perception concerning the adoption of Electromagnetic Simulation Software.
7. This report helps stakeholders to identify some of the key players in the market and understand their valuable contribution.
Chapter Outline
Chapter 1: Introduces the report scope of the report, executive summary of global and regional market size and CAGR for the history and forecast period (2020-2025, 2026-2031). It offers a high-level view of the current state of the market and its likely evolution in the short to mid-term, and long term.
Chapter 2: Provides the analysis of various market segments by type, covering the market size and development potential of each market segment, to help readers find the blue ocean market in different market segments.
Chapter 3: Provides the analysis of various market segments by application, covering the market size and development potential of each market segment, to help readers find the blue ocean market in different downstream markets.
Chapter 4: Introduces the market dynamics, latest developments of the market, the driving factors and restrictive factors of the market, the challenges and risks faced by manufacturers in the industry, and the analysis of relevant policies in the industry.
Chapter 5: Detailed analysis of Electromagnetic Simulation Software companies' competitive landscape, revenue, market share and ranking, latest development plan, merger, and acquisition information, etc.
Chapter 6: Provides profiles of key players, introducing the basic situation of the main companies in the market in detail, including product introduction, revenue, recent development, etc.
Chapter 7, 8, 9, 10 and 11: North America, Europe, Asia Pacific, South America, Middle East & Africa, revenue by country.
Chapter 12: Concluding Insights of the report
Please Note: Single-User license will be delivered via PDF from the publisher without the rights to print or to edit.
Table of Contents
100 Pages
- 1 Market Overview
- 1.1 Product Definition
- 1.2 Global Market Growth Prospects
- 1.3 Global Electromagnetic Simulation Software Market Size Overview by Region 2020 VS 2024 VS 2031
- 1.4 Global Electromagnetic Simulation Software Market Size by Region (2020-2031)
- 1.4.1 Global Electromagnetic Simulation Software Market Size by Region (2020-2025)
- 1.4.2 Global Electromagnetic Simulation Software Market Size by Region (2026-2031)
- 1.5 Key Regions Electromagnetic Simulation Software Market Size (2020-2031)
- 1.5.1 North America Electromagnetic Simulation Software Market Size Growth Rate (2020-2031)
- 1.5.2 Europe Electromagnetic Simulation Software Market Size Growth Rate (2020-2031)
- 1.5.3 Asia-Pacific Electromagnetic Simulation Software Market Size Growth Rate (2020-2031)
- 1.5.4 South America Electromagnetic Simulation Software Market Size Growth Rate (2020-2031)
- 1.5.5 Middle East & Africa Electromagnetic Simulation Software Market Size Growth Rate (2020-2031)
- 2 Electromagnetic Simulation Software Market by Type
- 2.1 Type Introduction
- 2.1.1 Method of Moments
- 2.1.2 MLFMA
- 2.1.3 Finite-DifferenceTime-Domain
- 2.1.4 Finite Element Analysis
- 2.1.5 Physical Optics
- 2.1.6 Geometrical Optics
- 2.1.7 Others
- 2.2 Global Electromagnetic Simulation Software Market Size by Type
- 2.2.1 Global Electromagnetic Simulation Software Market Size Overview by Type (2020-2031)
- 2.2.2 Global Electromagnetic Simulation Software Historic Market Size Review by Type (2020-2025)
- 2.2.3 Global Electromagnetic Simulation Software Market Size Forecasted by Type (2026-2031)
- 2.3 Global Electromagnetic Simulation Software Market Size by Regions
- 2.3.1 North America Electromagnetic Simulation Software Market Size Breakdown by Type (2020-2025)
- 2.3.2 Europe Electromagnetic Simulation Software Market Size Breakdown by Type (2020-2025)
- 2.3.3 Asia-Pacific Electromagnetic Simulation Software Market Size Breakdown by Type (2020-2025)
- 2.3.4 South America Electromagnetic Simulation Software Market Size Breakdown by Type (2020-2025)
- 2.3.5 Middle East and Africa Electromagnetic Simulation Software Market Size Breakdown by Type (2020-2025)
- 3 Electromagnetic Simulation Software Market by Application
- 3.1 Type Introduction
- 3.1.1 Antenna Design and Analysis
- 3.1.2 Mobile Devices
- 3.1.3 Automotive Radar
- 3.1.4 Biomedicine
- 3.1.5 Wireless Communication
- 3.2 Global Electromagnetic Simulation Software Market Size by Application
- 3.2.1 Global Electromagnetic Simulation Software Market Size Overview by Application (2020-2031)
- 3.2.2 Global Electromagnetic Simulation Software Historic Market Size Review by Application (2020-2025)
- 3.2.3 Global Electromagnetic Simulation Software Market Size Forecasted by Application (2026-2031)
- 3.3 Global Electromagnetic Simulation Software Market Size by Regions
- 3.3.1 North America Electromagnetic Simulation Software Market Size Breakdown by Application (2020-2025)
- 3.3.2 Europe Electromagnetic Simulation Software Market Size Breakdown by Application (2020-2025)
- 3.3.3 Asia-Pacific Electromagnetic Simulation Software Market Size Breakdown by Application (2020-2025)
- 3.3.4 South America Electromagnetic Simulation Software Market Size Breakdown by Application (2020-2025)
- 3.3.5 Middle East and Africa Electromagnetic Simulation Software Market Size Breakdown by Application (2020-2025)
- 4 Global Market Dynamics
- 4.1 Electromagnetic Simulation Software Industry Trends
- 4.2 Electromagnetic Simulation Software Industry Drivers
- 4.3 Electromagnetic Simulation Software Industry Opportunities and Challenges
- 4.4 Electromagnetic Simulation Software Industry Restraints
- 5 Competitive Insights by Company
- 5.1 Global Top Players by Electromagnetic Simulation Software Revenue (2020-2025)
- 5.2 Global Electromagnetic Simulation Software Industry Company Ranking, 2023 VS 2024 VS 2025
- 5.3 Global Electromagnetic Simulation Software Key Company Headquarters & Area Served
- 5.4 Global Electromagnetic Simulation Software Company, Product Type & Application
- 5.5 Global Electromagnetic Simulation Software Company Commercialization Time
- 5.6 Market Competitive Analysis
- 5.6.1 Global Electromagnetic Simulation Software Market CR5 and HHI
- 5.6.2 Global Top 5 and 10 Electromagnetic Simulation Software Players Market Share by Revenue in 2024
- 5.6.3 2024 Electromagnetic Simulation Software Tier 1, Tier 2, and Tier 3
- 6 Company Profiles
- 6.1 ANSYS Inc.
- 6.1.1 ANSYS Inc. Comapny Information
- 6.1.2 ANSYS Inc. Business Overview
- 6.1.3 ANSYS Inc. Electromagnetic Simulation Software Revenue, Global Share and Gross Margin (2020-2025)
- 6.1.4 ANSYS Inc. Electromagnetic Simulation Software Product Portfolio
- 6.1.5 ANSYS Inc. Recent Developments
- 6.2 Dassault Systmes SE
- 6.2.1 Dassault Systmes SE Comapny Information
- 6.2.2 Dassault Systmes SE Business Overview
- 6.2.3 Dassault Systmes SE Electromagnetic Simulation Software Revenue, Global Share and Gross Margin (2020-2025)
- 6.2.4 Dassault Systmes SE Electromagnetic Simulation Software Product Portfolio
- 6.2.5 Dassault Systmes SE Recent Developments
- 6.3 Keysight Technologies
- 6.3.1 Keysight Technologies Comapny Information
- 6.3.2 Keysight Technologies Business Overview
- 6.3.3 Keysight Technologies Electromagnetic Simulation Software Revenue, Global Share and Gross Margin (2020-2025)
- 6.3.4 Keysight Technologies Electromagnetic Simulation Software Product Portfolio
- 6.3.5 Keysight Technologies Recent Developments
- 6.4 Cadence Design Systems
- 6.4.1 Cadence Design Systems Comapny Information
- 6.4.2 Cadence Design Systems Business Overview
- 6.4.3 Cadence Design Systems Electromagnetic Simulation Software Revenue, Global Share and Gross Margin (2020-2025)
- 6.4.4 Cadence Design Systems Electromagnetic Simulation Software Product Portfolio
- 6.4.5 Cadence Design Systems Recent Developments
- 6.5 Altair Engineering
- 6.5.1 Altair Engineering Comapny Information
- 6.5.2 Altair Engineering Business Overview
- 6.5.3 Altair Engineering Electromagnetic Simulation Software Revenue, Global Share and Gross Margin (2020-2025)
- 6.5.4 Altair Engineering Electromagnetic Simulation Software Product Portfolio
- 6.5.5 Altair Engineering Recent Developments
- 6.6 ESI Group
- 6.6.1 ESI Group Comapny Information
- 6.6.2 ESI Group Business Overview
- 6.6.3 ESI Group Electromagnetic Simulation Software Revenue, Global Share and Gross Margin (2020-2025)
- 6.6.4 ESI Group Electromagnetic Simulation Software Product Portfolio
- 6.6.5 ESI Group Recent Developments
- 6.7 COMSOL
- 6.7.1 COMSOL Comapny Information
- 6.7.2 COMSOL Business Overview
- 6.7.3 COMSOL Electromagnetic Simulation Software Revenue, Global Share and Gross Margin (2020-2025)
- 6.7.4 COMSOL Electromagnetic Simulation Software Product Portfolio
- 6.7.5 COMSOL Recent Developments
- 6.8 Remcom
- 6.8.1 Remcom Comapny Information
- 6.8.2 Remcom Business Overview
- 6.8.3 Remcom Electromagnetic Simulation Software Revenue, Global Share and Gross Margin (2020-2025)
- 6.8.4 Remcom Electromagnetic Simulation Software Product Portfolio
- 6.8.5 Remcom Recent Developments
- 6.9 EMPIRE (IMST GmbH)
- 6.9.1 EMPIRE (IMST GmbH) Comapny Information
- 6.9.2 EMPIRE (IMST GmbH) Business Overview
- 6.9.3 EMPIRE (IMST GmbH) Electromagnetic Simulation Software Revenue, Global Share and Gross Margin (2020-2025)
- 6.9.4 EMPIRE (IMST GmbH) Electromagnetic Simulation Software Product Portfolio
- 6.9.5 EMPIRE (IMST GmbH) Recent Developments
- 6.10 Mician GmbH
- 6.10.1 Mician GmbH Comapny Information
- 6.10.2 Mician GmbH Business Overview
- 6.10.3 Mician GmbH Electromagnetic Simulation Software Revenue, Global Share and Gross Margin (2020-2025)
- 6.10.4 Mician GmbH Electromagnetic Simulation Software Product Portfolio
- 6.10.5 Mician GmbH Recent Developments
- 6.11 Sonnet Software
- 6.11.1 Sonnet Software Comapny Information
- 6.11.2 Sonnet Software Business Overview
- 6.11.3 Sonnet Software Electromagnetic Simulation Software Revenue, Global Share and Gross Margin (2020-2025)
- 6.11.4 Sonnet Software Electromagnetic Simulation Software Product Portfolio
- 6.11.5 Sonnet Software Recent Developments
- 6.12 ElectroMagneticWorks
- 6.12.1 ElectroMagneticWorks Comapny Information
- 6.12.2 ElectroMagneticWorks Business Overview
- 6.12.3 ElectroMagneticWorks Electromagnetic Simulation Software Revenue, Global Share and Gross Margin (2020-2025)
- 6.12.4 ElectroMagneticWorks Electromagnetic Simulation Software Product Portfolio
- 6.12.5 ElectroMagneticWorks Recent Developments
- 6.13 WIPL-D d.o.o.
- 6.13.1 WIPL-D d.o.o. Comapny Information
- 6.13.2 WIPL-D d.o.o. Business Overview
- 6.13.3 WIPL-D d.o.o. Electromagnetic Simulation Software Revenue, Global Share and Gross Margin (2020-2025)
- 6.13.4 WIPL-D d.o.o. Electromagnetic Simulation Software Product Portfolio
- 6.13.5 WIPL-D d.o.o. Recent Developments
- 7 North America
- 7.1 North America Electromagnetic Simulation Software Market Size Growth Rate (CAGR) by Country: 2020 VS 2024 VS 2031
- 7.2 North America Electromagnetic Simulation Software Market Size by Country (2020-2025)
- 7.3 North America Electromagnetic Simulation Software Market Size Forecast by Country (2026-2031)
- 8 Europe
- 8.1 Europe Electromagnetic Simulation Software Market Size Growth Rate (CAGR) by Country: 2020 VS 2024 VS 2031
- 8.2 Europe Electromagnetic Simulation Software Market Size by Country (2020-2025)
- 8.3 Europe Electromagnetic Simulation Software Market Size Forecast by Country (2026-2031)
- 9 Asia-Pacific
- 9.1 Asia-Pacific Electromagnetic Simulation Software Market Size Growth Rate (CAGR) by Country: 2020 VS 2024 VS 2031
- 9.2 Asia-Pacific Electromagnetic Simulation Software Market Size by Country (2020-2025)
- 9.3 Asia-Pacific Electromagnetic Simulation Software Market Size Forecast by Country (2026-2031)
- 10 South America
- 10.1 South America Electromagnetic Simulation Software Market Size Growth Rate (CAGR) by Country: 2020 VS 2024 VS 2031
- 10.2 South America Electromagnetic Simulation Software Market Size by Country (2020-2025)
- 10.3 South America Electromagnetic Simulation Software Market Size Forecast by Country (2026-2031)
- 11 Middle East & Africa
- 11.1 Middle East & Africa Electromagnetic Simulation Software Market Size Growth Rate (CAGR) by Country: 2020 VS 2024 VS 2031
- 11.2 Middle East & Africa Electromagnetic Simulation Software Market Size by Country (2020-2025)
- 11.3 Middle East & Africa Electromagnetic Simulation Software Market Size Forecast by Country (2026-2031)
- 12 Concluding Insights
- 13 Appendix
- 13.1 Reasons for Doing This Study
- 13.2 Research Methodology
- 13.3 Research Process
- 13.4 Authors List of This Report
- 13.5 Data Source
- 13.5.1 Secondary Sources
- 13.5.2 Primary Sources
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