add SCIP solver

src/Snap.Hutao/Snap.Hutao/Model/Metadata/Abstraction/ICultivationItemsAccess.cs

@@ -7,5 +7,7 @@ namespace Snap.Hutao.Model.Metadata.Abstraction;
 
 internal interface ICultivationItemsAccess
 {
+    string Name { get; }
+
     List<MaterialId> CultivationItems { get; }
-}
+}

src/Snap.Hutao/Snap.Hutao/Service/Inventory/InventoryService.cs

@@ -59,9 +59,11 @@ internal sealed partial class InventoryService : IInventoryService
         List<ICultivationItemsAccess> cultivationItemsEntryList =
         [
             .. await metadataService.GetAvatarListAsync().ConfigureAwait(false),
-            .. (await metadataService.GetWeaponListAsync().ConfigureAwait(false)).Where(weapon => weapon.Quality >= Model.Intrinsic.QualityType.QUALITY_BLUE),
+            .. await metadataService.GetWeaponListAsync().ConfigureAwait(false),
         ];
 
+        cultivationItemsEntryList = MinimalPromotionDelta.Find(cultivationItemsEntryList);
+
         BatchConsumption? batchConsumption = default;
         using (IServiceScope scope = serviceScopeFactory.CreateScope())
         {

src/Snap.Hutao/Snap.Hutao/Service/Inventory/MinimalPromotionDelta.cs

@@ -0,0 +1,57 @@
+// Copyright (c) DGP Studio. All rights reserved.
+// Licensed under the MIT license.
+
+using Google.OrTools.LinearSolver;
+using Snap.Hutao.Core.ExceptionService;
+using Snap.Hutao.Model.Metadata.Abstraction;
+using Snap.Hutao.Model.Primitive;
+using System.Runtime.InteropServices;
+
+namespace Snap.Hutao.Service.Inventory;
+
+internal static class MinimalPromotionDelta
+{
+    public static List<ICultivationItemsAccess> Find(List<ICultivationItemsAccess> cultivationItems)
+    {
+        using (Solver? solver = Solver.CreateSolver("SCIP"))
+        {
+            ArgumentNullException.ThrowIfNull(solver);
+
+            Objective objective = solver.Objective();
+            objective.SetMinimization();
+
+            Dictionary<ICultivationItemsAccess, Variable> itemVariableMap = [];
+            foreach (ref readonly ICultivationItemsAccess item in CollectionsMarshal.AsSpan(cultivationItems))
+            {
+                Variable variable = solver.MakeBoolVar(item.Name);
+                itemVariableMap[item] = variable;
+                objective.SetCoefficient(variable, 1);
+            }
+
+            Dictionary<MaterialId, Constraint> materialConstraintMap = [];
+            foreach (ref readonly ICultivationItemsAccess item in CollectionsMarshal.AsSpan(cultivationItems))
+            {
+                foreach (ref readonly MaterialId materialId in CollectionsMarshal.AsSpan(item.CultivationItems))
+                {
+                    ref Constraint? constraint = ref CollectionsMarshal.GetValueRefOrAddDefault(materialConstraintMap, materialId, out _);
+                    constraint ??= solver.MakeConstraint(1, double.PositiveInfinity, $"{materialId}");
+                    constraint.SetCoefficient(itemVariableMap[item], 1);
+                }
+            }
+
+            Solver.ResultStatus status = solver.Solve();
+            HutaoException.ThrowIf(status != Solver.ResultStatus.OPTIMAL, "Unable to solve minimal item set");
+
+            List<ICultivationItemsAccess> results = [];
+            foreach ((ICultivationItemsAccess item, Variable variable) in itemVariableMap)
+            {
+                if (variable.SolutionValue() > 0.5)
+                {
+                    results.Add(item);
+                }
+            }
+
+            return results;
+        }
+    }
+}

src/Snap.Hutao/Snap.Hutao/Snap.Hutao.csproj

@@ -313,6 +313,7 @@
     <PackageReference Include="CommunityToolkit.WinUI.Controls.TokenizingTextBox" Version="8.0.240109" />
     <PackageReference Include="CommunityToolkit.WinUI.Media" Version="8.0.240109" />
     <PackageReference Include="CommunityToolkit.WinUI.Notifications" Version="7.1.2" />
+    <PackageReference Include="Google.OrTools" Version="9.10.4067" />
     <PackageReference Include="Microsoft.EntityFrameworkCore.Sqlite" Version="8.0.5" />
     <PackageReference Include="Microsoft.EntityFrameworkCore.Tools" Version="8.0.5">
       <PrivateAssets>all</PrivateAssets>