(IT 1) feat: implement special sum set conditions check

Individual Task 1/Program.fs

@@ -21,13 +21,43 @@ module EulerProblem105 =
         let allSubsets = generateSubsetsAux [[]] set
         List.filter (fun subset -> not (List.isEmpty subset)) allSubsets
     
+    let checkPrefixSuffixRule (sortedSet: int list) =
+        let n = List.length sortedSet
+        
+        let rec check k =
+            if k > n / 2 then true
+            else
+                let prefixSum = sortedSet |> List.take (k+1) |> List.sum
+                let suffixSum = sortedSet |> List.rev |> List.take k |> List.sum
+                
+                if prefixSum <= suffixSum then false
+                else check (k+1)
+                
+        check 1
+    
+    let checkUniqueSums set =
+        let subsets = generateAllSubsets set
+        let sums = subsets |> List.map List.sum
+        let uniqueSums = sums |> Set.ofList
+        
+        List.length sums = Set.count uniqueSums
+    
+    let isSpecialSumSet set =
+        let sortedSet = List.sort set
+        checkPrefixSuffixRule sortedSet && checkUniqueSums sortedSet
+
     let run filePath =
         let sets = parseInput filePath
         printfn "Загружено %d множеств" (List.length sets)
         
-        let testSet = List.head sets
-        let subsets = generateAllSubsets testSet
-        printfn "Для первого множества сгенерировано %d непустых подмножеств" (List.length subsets)
+        let testExample1 = sets |> List.head
+        let testExample2 = sets |> List.item 1
+        
+        printfn "Проверка первого примера: %A" testExample1
+        printfn "Результат: %b (ожидается: false)" (isSpecialSumSet testExample1)
+        
+        printfn "Проверка второго примера: %A" testExample2
+        printfn "Результат: %b (ожидается: true)" (isSpecialSumSet testExample2)
         
         0