Merge pull request '2508/808' (#2) from 2508/808 into main

Reviewed-on: #2

202508/808 soupServings/C#/C#.sln

@@ -0,0 +1,24 @@
+Microsoft Visual Studio Solution File, Format Version 12.00
+# Visual Studio Version 17
+VisualStudioVersion = 17.5.2.0
+MinimumVisualStudioVersion = 10.0.40219.1
+Project("{FAE04EC0-301F-11D3-BF4B-00C04F79EFBC}") = "soupServings", "soupServings.csproj", "{6D960F00-6A53-6E19-86A1-4BF3D1CD764F}"
+EndProject
+Global
+	GlobalSection(SolutionConfigurationPlatforms) = preSolution
+		Debug|Any CPU = Debug|Any CPU
+		Release|Any CPU = Release|Any CPU
+	EndGlobalSection
+	GlobalSection(ProjectConfigurationPlatforms) = postSolution
+		{6D960F00-6A53-6E19-86A1-4BF3D1CD764F}.Debug|Any CPU.ActiveCfg = Debug|Any CPU
+		{6D960F00-6A53-6E19-86A1-4BF3D1CD764F}.Debug|Any CPU.Build.0 = Debug|Any CPU
+		{6D960F00-6A53-6E19-86A1-4BF3D1CD764F}.Release|Any CPU.ActiveCfg = Release|Any CPU
+		{6D960F00-6A53-6E19-86A1-4BF3D1CD764F}.Release|Any CPU.Build.0 = Release|Any CPU
+	EndGlobalSection
+	GlobalSection(SolutionProperties) = preSolution
+		HideSolutionNode = FALSE
+	EndGlobalSection
+	GlobalSection(ExtensibilityGlobals) = postSolution
+		SolutionGuid = {11CC27B7-C17E-4820-8A68-ADD32A2B37F8}
+	EndGlobalSection
+EndGlobal

202508/808 soupServings/C#/Program.cs

@@ -0,0 +1,56 @@
+using System;
+
+public class Solution
+{
+    private Dictionary<(int, int), double> dp = new Dictionary<(int, int), double>();
+    public double SoupServings(int n)
+    {
+        if (n > 5000)
+            return 1.0;
+
+        n = (n + 24) / 25;
+
+        // use dynamic programming
+        return Helper(n, n);
+    }
+
+    private double Helper(int a, int b)
+    {
+        if (a <= 0 && b <= 0)
+        {
+            return 0.5;
+        }
+        if (a <= 0)
+        {
+            return 1.0;
+        }
+        if (b <= 0)
+        {
+            return 0.0;
+        }
+        if (dp.ContainsKey((a, b)))
+        {
+            return dp[(a, b)];
+        }
+
+        double probability = 0.25 * (
+            Helper(a - 4, b) +
+            Helper(a - 3, b - 1) +
+            Helper(a - 2, b - 2) +
+            Helper(a - 1, b - 3)
+        );
+
+        dp[(a, b)] = probability;
+        return probability;
+    }
+}
+
+class Program
+{
+    static void Main()
+    {
+        var Solution = new Solution();
+        var ans = Solution.SoupServings(800);
+        Console.WriteLine(ans);
+    }
+}

202508/808 soupServings/C#/soupServings.csproj

@@ -0,0 +1,10 @@
+<Project Sdk="Microsoft.NET.Sdk">
+
+  <PropertyGroup>
+    <OutputType>Exe</OutputType>
+    <TargetFramework>net8.0</TargetFramework>
+    <ImplicitUsings>enable</ImplicitUsings>
+    <Nullable>enable</Nullable>
+  </PropertyGroup>
+
+</Project>

202508/808 soupServings/Go/main.go

@@ -0,0 +1,52 @@
+package main
+
+import ("fmt")
+
+type Solution struct{
+	dp map[[2]int]float64
+}
+
+func NewSolution() *Solution{
+	return &Solution{dp: make(map[[2]int]float64)}
+}
+
+func (s *Solution) SoupServings(n int)float64{
+	if n > 5000{
+		return 1.0
+	}
+
+	n = (n+24) /25
+
+	return s.helper(n, n)
+}
+
+func (s * Solution) helper(a, b int) float64 {
+	if a <= 0 && b <= 0{
+		return 0.5
+	}
+	if a <= 0{
+		return 1.0
+	}
+	if b <= 0{
+		return 0
+	}
+
+	if val, exist := s.dp[[2]int{a, b}]; exist{
+		return val
+	}
+
+	probability := 0.25 * (
+		s.helper(a-4, b) +
+		s.helper(a-3, b-1) +
+		s.helper(a-2, b-2) +
+		s.helper(a-1, b-3))
+
+	s.dp[[2]int {a, b}] = probability
+	return probability
+}
+
+func main(){
+	Solution := NewSolution()
+	ans := Solution.SoupServings(100)
+	fmt.Println(ans)
+}

202508/808 soupServings/description.md

@@ -0,0 +1,14 @@
+You have two soups, A and B, each starting with n mL. On every turn, one of the following four serving operations is chosen at random, each with probability 0.25 independent of all previous turns:
+
+pour 100 mL from type A and 0 mL from type B
+pour 75 mL from type A and 25 mL from type B
+pour 50 mL from type A and 50 mL from type B
+pour 25 mL from type A and 75 mL from type B
+Note:
+
+There is no operation that pours 0 mL from A and 100 mL from B.
+The amounts from A and B are poured simultaneously during the turn.
+If an operation asks you to pour more than you have left of a soup, pour all that remains of that soup.
+The process stops immediately after any turn in which one of the soups is used up.
+
+Return the probability that A is used up before B, plus half the probability that both soups are used up in the same turn. Answers within 10-5 of the actual answer will be accepted.