Hexalith.Application.TopologicalSorting 1.70.22

This package has a SemVer 2.0.0 package version: 1.70.22+build.18488346227.1.
There is a newer version of this package available.
See the version list below for details.
dotnet add package Hexalith.Application.TopologicalSorting --version 1.70.22
                    
NuGet\Install-Package Hexalith.Application.TopologicalSorting -Version 1.70.22
                    
This command is intended to be used within the Package Manager Console in Visual Studio, as it uses the NuGet module's version of Install-Package.
<PackageReference Include="Hexalith.Application.TopologicalSorting" Version="1.70.22" />
                    
For projects that support PackageReference, copy this XML node into the project file to reference the package.
<PackageVersion Include="Hexalith.Application.TopologicalSorting" Version="1.70.22" />
                    
Directory.Packages.props
<PackageReference Include="Hexalith.Application.TopologicalSorting" />
                    
Project file
For projects that support Central Package Management (CPM), copy this XML node into the solution Directory.Packages.props file to version the package.
paket add Hexalith.Application.TopologicalSorting --version 1.70.22
                    
#r "nuget: Hexalith.Application.TopologicalSorting, 1.70.22"
                    
#r directive can be used in F# Interactive and Polyglot Notebooks. Copy this into the interactive tool or source code of the script to reference the package.
#:package Hexalith.Application.TopologicalSorting@1.70.22
                    
#:package directive can be used in C# file-based apps starting in .NET 10 preview 4. Copy this into a .cs file before any lines of code to reference the package.
#addin nuget:?package=Hexalith.Application.TopologicalSorting&version=1.70.22
                    
Install as a Cake Addin
#tool nuget:?package=Hexalith.Application.TopologicalSorting&version=1.70.22
                    
Install as a Cake Tool

Hexalith.Application.TopologicalSorting

A topological sorting algorithm for parallel task execution is a technique used to schedule tasks that can be executed concurrently.

The goal of the topological sorting algorithm is to find a valid sequence in which the tasks can be executed that respects the dependencies between them. This is important because it ensures that no task is executed before its dependencies have been completed.

A topological sorting algorithm is used to find a valid sequence of tasks that can be executed in parallel.

Once we have a valid sequence of tasks, we can execute them in parallel. For example, if two tasks have no dependencies between them, they can be executed concurrently. However, if a task depends on the output of another task, it must wait until that task has completed before it can begin.

Parallel task execution is important because it can significantly improve the performance of an application. By executing tasks concurrently, we can reduce the overall execution time of the application and improve its responsiveness.

Product Compatible and additional computed target framework versions.
.NET net9.0 is compatible.  net9.0-android was computed.  net9.0-browser was computed.  net9.0-ios was computed.  net9.0-maccatalyst was computed.  net9.0-macos was computed.  net9.0-tvos was computed.  net9.0-windows was computed.  net10.0 was computed.  net10.0-android was computed.  net10.0-browser was computed.  net10.0-ios was computed.  net10.0-maccatalyst was computed.  net10.0-macos was computed.  net10.0-tvos was computed.  net10.0-windows was computed. 
Compatible target framework(s)
Included target framework(s) (in package)
Learn more about Target Frameworks and .NET Standard.

NuGet packages (1)

Showing the top 1 NuGet packages that depend on Hexalith.Application.TopologicalSorting:

Package Downloads
Hexalith.Infrastructure.AzureCloud

Hexalith is a set of libraries to build a micro-service architecture.

GitHub repositories

This package is not used by any popular GitHub repositories.

Version Downloads Last Updated
1.71.0 35 11/17/2025
1.70.22 37 10/14/2025
1.70.21 55 9/20/2025
1.70.19 45 8/10/2025
1.70.17 41 8/5/2025
1.70.16 27 7/30/2025
1.70.15 29 7/30/2025
1.70.14 26 7/30/2025
1.70.13 26 7/30/2025
1.70.11 45 7/25/2025
1.70.10 45 7/24/2025
1.70.9 45 7/22/2025
1.70.8 45 7/22/2025
1.70.7 46 7/22/2025
1.70.6 44 7/18/2025
1.70.5 44 7/18/2025
1.70.4 45 7/16/2025
1.70.3 42 7/9/2025
1.70.2 47 7/9/2025
1.70.1 41 7/9/2025
1.70.0 47 7/9/2025
1.69.4 42 7/7/2025
1.69.3 42 7/7/2025
1.69.2 40 7/7/2025
1.69.1 43 7/7/2025
1.69.0 49 7/7/2025
1.68.11 46 7/7/2025
1.68.9 46 7/4/2025
1.68.8 47 7/4/2025
1.68.7 46 7/4/2025
1.68.6 46 7/4/2025
1.68.5 47 7/4/2025
1.68.4 46 7/4/2025
1.68.3 46 7/3/2025
1.68.2 47 7/3/2025
1.68.1 45 7/3/2025
1.68.0 48 7/3/2025
1.67.7 74 6/24/2025
1.67.6 50 6/24/2025
1.67.5 48 6/24/2025
1.67.4 51 6/24/2025
1.67.3 71 6/14/2025
1.67.2 49 6/14/2025
1.67.1 44 6/14/2025
1.67.0 46 6/13/2025
1.65.6 97 4/27/2025
1.61.5 82 4/27/2025
1.61.4 93 4/27/2025
1.61.3 90 4/25/2025
1.61.2 89 4/24/2025
1.61.1 83 4/24/2025
1.61.0 94 4/24/2025
1.60.0 74 4/18/2025
1.59.0 95 4/18/2025
1.57.0 95 4/18/2025
1.56.0 105 4/13/2025
1.55.0 73 3/22/2025
1.53.4 104 3/18/2025
1.53.3 123 3/11/2025
1.53.2 233 2/28/2025
1.53.1 198 2/28/2025
1.53.0 209 2/28/2025
1.52.20 224 2/18/2025
1.52.19 216 2/3/2025
1.52.18 182 2/3/2025
1.52.17 128 1/29/2025
1.52.16 175 1/27/2025
1.52.15 181 1/26/2025
1.52.14 67 1/15/2025
1.52.13 95 1/14/2025
1.52.12 88 1/12/2025
1.52.11 181 1/10/2025
1.52.10 172 1/10/2025
1.52.9 150 1/7/2025
1.52.8 182 1/6/2025
1.52.7 181 1/4/2025
1.52.6 178 12/31/2024
1.52.5 183 12/29/2024
1.52.4 149 12/27/2024
1.52.3 163 12/27/2024
1.52.2 187 12/25/2024
1.52.1 161 12/23/2024
1.52.0 173 12/23/2024
1.51.18 161 12/22/2024
1.51.17 160 12/20/2024
1.51.16 173 12/18/2024
1.51.15 173 12/16/2024
1.51.14 181 12/16/2024
1.51.13 189 12/16/2024
1.51.12 157 12/15/2024
1.51.11 186 12/15/2024
1.51.10 186 12/15/2024
1.51.9 186 12/15/2024
1.51.8 178 12/15/2024
1.51.7 171 12/14/2024
1.51.5 167 12/9/2024
1.51.4 181 12/7/2024
1.51.3 181 12/7/2024
1.51.2 179 12/7/2024
1.51.1 172 12/6/2024
1.51.0 168 12/3/2024
1.0.50 180 12/2/2024
1.0.49 193 12/1/2024
1.0.47 169 11/29/2024
1.0.46 189 11/28/2024
1.0.45 181 11/26/2024
1.0.40 179 11/24/2024
1.0.39 155 11/24/2024
1.0.38 186 11/23/2024
1.0.37 178 11/19/2024
1.0.36 175 11/19/2024
1.0.33 163 11/17/2024
1.0.32 154 11/16/2024
1.0.29 160 11/15/2024
1.0.27 147 11/15/2024
1.0.26 182 11/14/2024
1.0.25 179 11/14/2024
1.0.24 178 11/5/2024
1.0.23 175 11/5/2024
1.0.22 192 11/3/2024
1.0.20 163 10/29/2024
1.0.19 181 10/28/2024
1.0.16 185 10/21/2024
1.0.15 224 10/18/2024
1.0.14 162 10/13/2024
1.0.12 154 10/7/2024
1.0.11 148 10/7/2024
1.0.10 179 10/7/2024
1.0.9 167 10/7/2024
1.0.8 175 9/18/2024
1.0.7 193 9/17/2024
1.0.4 198 9/10/2024
1.0.1 328 9/3/2024
0.31.33 224 8/23/2024 0.31.33 is deprecated because it is no longer maintained.
0.31.32 247 8/23/2024 0.31.32 is deprecated because it is no longer maintained.
0.31.31 245 8/22/2024 0.31.31 is deprecated because it is no longer maintained.
0.31.30 222 8/19/2024 0.31.30 is deprecated because it is no longer maintained.
0.31.29 224 8/18/2024 0.31.29 is deprecated because it is no longer maintained.
0.31.28 195 8/18/2024 0.31.28 is deprecated because it is no longer maintained.
0.31.27 227 8/18/2024 0.31.27 is deprecated because it is no longer maintained.
0.31.26 233 8/17/2024 0.31.26 is deprecated because it is no longer maintained.
0.31.25 196 8/16/2024 0.31.25 is deprecated because it is no longer maintained.
0.31.24 235 8/15/2024 0.31.24 is deprecated because it is no longer maintained.
0.31.23 227 8/14/2024 0.31.23 is deprecated because it is no longer maintained.
0.31.20 205 8/7/2024 0.31.20 is deprecated because it is no longer maintained.
0.31.19 208 8/7/2024 0.31.19 is deprecated because it is no longer maintained.
0.31.18 188 8/5/2024 0.31.18 is deprecated because it is no longer maintained.
0.31.17 152 8/4/2024 0.31.17 is deprecated because it is no longer maintained.
0.31.16 183 8/4/2024 0.31.16 is deprecated because it is no longer maintained.
0.31.15 208 7/30/2024 0.31.15 is deprecated because it is no longer maintained.
0.31.13 190 7/30/2024 0.31.13 is deprecated because it is no longer maintained.
0.31.12 188 7/30/2024 0.31.12 is deprecated because it is no longer maintained.
0.31.11 204 7/30/2024 0.31.11 is deprecated because it is no longer maintained.
0.31.10 198 7/30/2024 0.31.10 is deprecated because it is no longer maintained.
0.31.9 196 7/29/2024 0.31.9 is deprecated because it is no longer maintained.
0.31.8 190 7/28/2024 0.31.8 is deprecated because it is no longer maintained.
0.31.7 191 7/28/2024 0.31.7 is deprecated because it is no longer maintained.
0.31.6 207 7/27/2024 0.31.6 is deprecated because it is no longer maintained.
0.31.5 213 7/26/2024 0.31.5 is deprecated because it is no longer maintained.
0.31.4 195 7/26/2024 0.31.4 is deprecated because it is no longer maintained.
0.31.3 170 7/22/2024 0.31.3 is deprecated because it is no longer maintained.
0.31.2 166 7/22/2024 0.31.2 is deprecated because it is no longer maintained.
0.31.1 202 7/22/2024 0.31.1 is deprecated because it is no longer maintained.
0.31.0 179 7/20/2024 0.31.0 is deprecated because it is no longer maintained.
0.30.14 219 7/4/2024 0.30.14 is deprecated because it is no longer maintained.
0.30.13 217 7/3/2024 0.30.13 is deprecated because it is no longer maintained.
0.30.12 225 6/18/2024 0.30.12 is deprecated because it is no longer maintained.
0.30.11 209 6/17/2024 0.30.11 is deprecated because it is no longer maintained.
0.30.10 203 6/12/2024 0.30.10 is deprecated because it is no longer maintained.
0.30.9 176 6/10/2024 0.30.9 is deprecated because it is no longer maintained.
0.30.8 203 6/7/2024 0.30.8 is deprecated because it is no longer maintained.
0.30.7 219 6/4/2024 0.30.7 is deprecated because it is no longer maintained.
0.30.6 195 6/4/2024 0.30.6 is deprecated because it is no longer maintained.
0.30.5 227 6/2/2024 0.30.5 is deprecated because it is no longer maintained.
0.30.3 225 5/28/2024 0.30.3 is deprecated because it is no longer maintained.
0.30.2 207 5/27/2024 0.30.2 is deprecated because it is no longer maintained.
0.30.1 220 5/20/2024 0.30.1 is deprecated because it is no longer maintained.
0.30.0 234 5/19/2024 0.30.0 is deprecated because it is no longer maintained.
0.29.6 185 5/15/2024 0.29.6 is deprecated because it is no longer maintained.
0.29.5 211 5/13/2024 0.29.5 is deprecated because it is no longer maintained.
0.29.4 202 5/12/2024 0.29.4 is deprecated because it is no longer maintained.
0.29.3 202 5/12/2024 0.29.3 is deprecated because it is no longer maintained.
0.29.2 215 5/11/2024 0.29.2 is deprecated because it is no longer maintained.
0.29.1 217 5/11/2024 0.29.1 is deprecated because it is no longer maintained.
0.28.4 197 5/10/2024 0.28.4 is deprecated because it is no longer maintained.
0.28.3 220 5/9/2024 0.28.3 is deprecated because it is no longer maintained.
0.28.2 174 5/9/2024 0.28.2 is deprecated because it is no longer maintained.
0.28.0 198 5/8/2024 0.28.0 is deprecated because it is no longer maintained.
0.27.14 258 4/29/2024 0.27.14 is deprecated because it is no longer maintained.
0.27.13 237 4/10/2024 0.27.13 is deprecated because it is no longer maintained.
0.27.11 192 4/10/2024 0.27.11 is deprecated because it is no longer maintained.
0.27.10 220 4/10/2024 0.27.10 is deprecated because it is no longer maintained.
0.27.9 185 4/8/2024 0.27.9 is deprecated because it is no longer maintained.
0.27.7 214 3/31/2024 0.27.7 is deprecated because it is no longer maintained.
0.27.6 225 3/29/2024 0.27.6 is deprecated because it is no longer maintained.
0.27.5 237 3/20/2024 0.27.5 is deprecated because it is no longer maintained.
0.27.4 208 3/20/2024 0.27.4 is deprecated because it is no longer maintained.
0.27.1 238 3/20/2024 0.27.1 is deprecated because it is no longer maintained.
0.27.0 219 3/19/2024 0.27.0 is deprecated because it is no longer maintained.
0.26.18 255 3/19/2024 0.26.18 is deprecated because it is no longer maintained.
0.26.17 244 3/18/2024 0.26.17 is deprecated because it is no longer maintained.
0.26.13 224 3/18/2024 0.26.13 is deprecated because it is no longer maintained.
0.26.12 242 3/18/2024 0.26.12 is deprecated because it is no longer maintained.
0.26.11 258 3/17/2024 0.26.11 is deprecated because it is no longer maintained.
0.26.10 250 3/14/2024 0.26.10 is deprecated because it is no longer maintained.
0.26.9 245 3/12/2024 0.26.9 is deprecated because it is no longer maintained.
0.26.8 249 3/11/2024 0.26.8 is deprecated because it is no longer maintained.
0.26.7 248 3/11/2024 0.26.7 is deprecated because it is no longer maintained.
0.26.6 265 3/11/2024 0.26.6 is deprecated because it is no longer maintained.
0.26.5 266 3/8/2024 0.26.5 is deprecated because it is no longer maintained.
0.26.4 250 3/8/2024 0.26.4 is deprecated because it is no longer maintained.
0.26.3 251 3/6/2024 0.26.3 is deprecated because it is no longer maintained.
0.26.2 205 3/6/2024 0.26.2 is deprecated because it is no longer maintained.
0.26.1 260 3/5/2024 0.26.1 is deprecated because it is no longer maintained.
0.26.0 270 3/4/2024 0.26.0 is deprecated because it is no longer maintained.
0.25.11 264 3/4/2024 0.25.11 is deprecated because it is no longer maintained.
0.25.10 203 3/4/2024 0.25.10 is deprecated because it is no longer maintained.
0.25.9 241 3/2/2024 0.25.9 is deprecated because it is no longer maintained.
0.25.8 244 3/2/2024 0.25.8 is deprecated because it is no longer maintained.
0.25.7 226 3/2/2024 0.25.7 is deprecated because it is no longer maintained.
0.25.6 254 2/29/2024 0.25.6 is deprecated because it is no longer maintained.
0.25.4 253 2/27/2024 0.25.4 is deprecated because it is no longer maintained.
0.25.1 238 2/25/2024 0.25.1 is deprecated because it is no longer maintained.
0.24.1 247 2/23/2024 0.24.1 is deprecated because it is no longer maintained.
0.24.0 232 2/22/2024 0.24.0 is deprecated because it is no longer maintained.
0.23.2 262 1/22/2024 0.23.2 is deprecated because it is no longer maintained.
0.23.1 231 1/22/2024 0.23.1 is deprecated because it is no longer maintained.
0.22.6 247 1/22/2024 0.22.6 is deprecated because it is no longer maintained.
0.22.5 240 1/22/2024 0.22.5 is deprecated because it is no longer maintained.
0.22.4 241 1/22/2024 0.22.4 is deprecated because it is no longer maintained.
0.22.3 246 1/16/2024 0.22.3 is deprecated because it is no longer maintained.
0.22.2 250 1/16/2024 0.22.2 is deprecated because it is no longer maintained.
0.22.0 247 1/15/2024 0.22.0 is deprecated because it is no longer maintained.
0.21.5 236 1/15/2024 0.21.5 is deprecated because it is no longer maintained.
0.21.4 240 1/13/2024 0.21.4 is deprecated because it is no longer maintained.
0.21.3 245 1/12/2024 0.21.3 is deprecated because it is no longer maintained.
0.21.1 255 1/9/2024 0.21.1 is deprecated because it is no longer maintained.
0.21.0 263 1/5/2024 0.21.0 is deprecated because it is no longer maintained.
0.20.18 264 1/2/2024 0.20.18 is deprecated because it is no longer maintained.
0.20.17 285 1/2/2024 0.20.17 is deprecated because it is no longer maintained.
0.20.16 226 1/1/2024 0.20.16 is deprecated because it is no longer maintained.
0.20.15 270 1/1/2024 0.20.15 is deprecated because it is no longer maintained.
0.20.13 255 12/31/2023 0.20.13 is deprecated because it is no longer maintained.
0.20.12 251 12/23/2023 0.20.12 is deprecated because it is no longer maintained.
0.20.10 283 12/23/2023 0.20.10 is deprecated because it is no longer maintained.
0.20.8 255 12/22/2023 0.20.8 is deprecated because it is no longer maintained.
0.20.7 291 12/22/2023 0.20.7 is deprecated because it is no longer maintained.
0.20.6 263 12/22/2023 0.20.6 is deprecated because it is no longer maintained.
0.20.5 268 12/21/2023 0.20.5 is deprecated because it is no longer maintained.
0.20.4 276 12/21/2023 0.20.4 is deprecated because it is no longer maintained.
0.20.3 255 12/21/2023 0.20.3 is deprecated because it is no longer maintained.
0.20.2 274 12/20/2023 0.20.2 is deprecated because it is no longer maintained.
0.20.1 264 12/20/2023 0.20.1 is deprecated because it is no longer maintained.
0.20.0 278 12/20/2023 0.20.0 is deprecated because it is no longer maintained.
0.19.22 268 12/18/2023 0.19.22 is deprecated because it is no longer maintained.
0.19.21 246 12/18/2023 0.19.21 is deprecated because it is no longer maintained.
0.19.20 274 12/15/2023 0.19.20 is deprecated because it is no longer maintained.
0.19.19 248 12/15/2023 0.19.19 is deprecated because it is no longer maintained.
0.19.18 272 12/15/2023 0.19.18 is deprecated because it is no longer maintained.
0.19.17 256 12/15/2023 0.19.17 is deprecated because it is no longer maintained.
0.19.16 242 12/14/2023 0.19.16 is deprecated because it is no longer maintained.
0.19.15 259 12/14/2023 0.19.15 is deprecated because it is no longer maintained.
0.19.14 275 12/13/2023 0.19.14 is deprecated because it is no longer maintained.
0.19.13 244 12/13/2023 0.19.13 is deprecated because it is no longer maintained.
0.19.12 240 12/12/2023 0.19.12 is deprecated because it is no longer maintained.
0.19.11 272 12/12/2023 0.19.11 is deprecated because it is no longer maintained.
0.19.10 240 12/12/2023 0.19.10 is deprecated because it is no longer maintained.
0.19.7 258 12/11/2023 0.19.7 is deprecated because it is no longer maintained.
0.19.6 270 12/7/2023 0.19.6 is deprecated because it is no longer maintained.
0.19.5 259 12/5/2023 0.19.5 is deprecated because it is no longer maintained.
0.19.4 220 12/5/2023 0.19.4 is deprecated because it is no longer maintained.
0.19.3 252 12/5/2023 0.19.3 is deprecated because it is no longer maintained.
0.19.1 271 11/22/2023 0.19.1 is deprecated because it is no longer maintained.
0.19.0 240 11/22/2023 0.19.0 is deprecated because it is no longer maintained.
0.18.9 269 11/20/2023 0.18.9 is deprecated because it is no longer maintained.
0.18.7 249 11/19/2023 0.18.7 is deprecated because it is no longer maintained.
0.18.6 252 11/19/2023 0.18.6 is deprecated because it is no longer maintained.
0.18.5 229 11/19/2023 0.18.5 is deprecated because it is no longer maintained.
0.18.4 239 11/17/2023 0.18.4 is deprecated because it is no longer maintained.
0.18.3 242 11/17/2023 0.18.3 is deprecated because it is no longer maintained.
0.18.1 262 11/13/2023 0.18.1 is deprecated because it is no longer maintained.
0.18.0 248 11/9/2023 0.18.0 is deprecated because it is no longer maintained.
0.16.23 271 12/19/2023 0.16.23 is deprecated because it is no longer maintained.
0.10.17 246 11/8/2023 0.10.17 is deprecated because it is no longer maintained.
0.10.16 230 11/6/2023 0.10.16 is deprecated because it is no longer maintained.
0.10.15 236 11/5/2023 0.10.15 is deprecated because it is no longer maintained.
0.10.14 247 11/3/2023 0.10.14 is deprecated because it is no longer maintained.
0.10.13 224 11/2/2023 0.10.13 is deprecated because it is no longer maintained.
0.10.12 230 11/2/2023 0.10.12 is deprecated because it is no longer maintained.
0.10.11 260 11/1/2023 0.10.11 is deprecated because it is no longer maintained.
0.10.10 244 11/1/2023 0.10.10 is deprecated because it is no longer maintained.
0.10.9 223 11/1/2023 0.10.9 is deprecated because it is no longer maintained.
0.10.8 242 11/1/2023 0.10.8 is deprecated because it is no longer maintained.
0.10.7 254 11/1/2023 0.10.7 is deprecated because it is no longer maintained.
0.10.6 221 10/31/2023 0.10.6 is deprecated because it is no longer maintained.
0.10.5 247 10/31/2023 0.10.5 is deprecated because it is no longer maintained.
0.10.4 219 10/31/2023 0.10.4 is deprecated because it is no longer maintained.
0.10.3 241 10/30/2023 0.10.3 is deprecated because it is no longer maintained.
0.10.2 253 10/29/2023 0.10.2 is deprecated because it is no longer maintained.
0.9.4 280 10/18/2023 0.9.4 is deprecated because it is no longer maintained.
0.9.3 266 10/11/2023 0.9.3 is deprecated because it is no longer maintained.
0.9.2 254 10/7/2023 0.9.2 is deprecated because it is no longer maintained.
0.9.1 278 10/4/2023 0.9.1 is deprecated because it is no longer maintained.
0.8.5 266 10/3/2023 0.8.5 is deprecated because it is no longer maintained.
0.8.4 264 10/1/2023 0.8.4 is deprecated because it is no longer maintained.
0.8.3 274 10/1/2023 0.8.3 is deprecated because it is no longer maintained.
0.8.2 273 10/1/2023 0.8.2 is deprecated because it is no longer maintained.
0.7.2 312 7/4/2023 0.7.2 is deprecated because it is no longer maintained.
0.6.2 290 5/23/2023 0.6.2 is deprecated because it is no longer maintained.
0.6.1 292 5/18/2023 0.6.1 is deprecated because it is no longer maintained.
0.6.0 315 5/17/2023 0.6.0 is deprecated because it is no longer maintained.
0.5.5 338 5/8/2023 0.5.5 is deprecated because it is no longer maintained.
0.5.4 310 5/8/2023 0.5.4 is deprecated because it is no longer maintained.
0.5.3 323 5/3/2023 0.5.3 is deprecated because it is no longer maintained.
0.5.2 351 4/28/2023 0.5.2 is deprecated because it is no longer maintained.
0.5.1 319 4/28/2023 0.5.1 is deprecated because it is no longer maintained.
0.4.3 323 4/23/2023 0.4.3 is deprecated because it is no longer maintained.
0.4.2 367 4/15/2023 0.4.2 is deprecated because it is no longer maintained.