using System;
using System.Collections.Generic;
class Program
{
static List<int> partition = new List<int>();
static int count = 0;
static void Main()
{
Console.Write("Введите n: ");
int n = int.Parse(Console.ReadLine());
Console.WriteLine("Разбиения числа " + n + ":");
GeneratePartitions(n, n);
Console.WriteLine($"\nP({n}) = {count}");
Console.ReadKey();
}
static void GeneratePartitions(int remaining, int maxPart)
{
if (remaining == 0)
{
// Вывод разбиения
for (int i = 0; i < partition.Count; i++)
{
Console.Write(partition[i]);
if (i < partition.Count - 1) Console.Write(" + ");
}
Console.WriteLine();
count++;
return;
}
for (int part = Math.Min(maxPart, remaining); part >= 1; part--)
{
partition.Add(part);
GeneratePartitions(remaining - part, part);
partition.RemoveAt(partition.Count - 1);
}
}
}