[C#] 基礎複習 – 遞迴練習

好久沒用遞迴了，趕快找個簡單的題目複習一下，不然都要忘光光了，熟悉一下之前的Feel ~
順便練習一下簡單工廠模式，首先設計介面ICompute.cs：

interface ICompute
{
    /// <summary>
    /// 1 + ... + N = ?
    /// </summary>
    /// <param name="n"></param>
    /// <returns>Answer</returns>
    Int64 Iterative(Int64 n);

    /// <summary>
    /// 1 - 2 + 3 ... + N = ?
    /// </summary>
    /// <param name="n"></param>
    /// <returns>Answer</returns>
    Int64 AdvancedIterative(Int64 n);

    /// <summary>
    /// 1 x 2 x ... x N = ?
    /// </summary>
    /// <param name="n"></param>
    /// <returns>Answer</returns>
    Int64 Factorial(Int64 n);

    /// <summary>
    /// Fn = Fn-1 + Fn-2
    /// </summary>
    /// <param name="n"></param>
    /// <returns>Answer</returns>
    Int64 Fibonacci(Int64 n);
}

接著建立兩個類別Recursive.cs與ForLoop.cs並繼承ICompute.cs實作其方法：

Recursive.cs

public class Recursive : ICompute
{
    public Int64 Iterative(Int64 n)
    {
        if (n == 1)
        {
            return n;
        }
        else
        {
            return n + Iterative(n - 1);
        }
    }

    public Int64 AdvancedIterative(Int64 n)
    {
        if (n == 1)
        {
            return n;
        }
        else
        {
            return n % 2 == 0 ? -n + AdvancedIterative(n - 1) : n + AdvancedIterative(n - 1);
        }
    }

    public Int64 Factorial(Int64 n)
    {
        if (n == 1)
        {
            return n;
        }
        else
        {
            return n * Factorial(n - 1);
        }
    }

    public Int64 Fibonacci(Int64 n)
    {
        if (n < 3)
        {
            return 1;
        }
        else
        {
            return Fibonacci(n - 1) + Fibonacci(n - 2);
        }
    }
}

ForLoop.cs

public class ForLoop : ICompute
{

    public Int64 Iterative(Int64 n)
    {
        int ans = 0;

        for (int i = 1; i <= n; i++)
        {
            ans += i;
        }

        return ans;
    }

    public Int64 AdvancedIterative(Int64 n)
    {
        int ans = 0;

        for (int i = 1; i <= n; i++)
        {
            if (i % 2 == 0)
            {
                ans -= i;
            }
            else
            {
                ans += i;
            }
        }

        return ans;
    }

    public Int64 Factorial(Int64 n)
    {
        int ans = 1;

        for (int i = 1; i <= n; i++)
        {
            ans *= i;
        }

        return ans;
    }

    public Int64 Fibonacci(Int64 n)
    {
        int ans = 0;
        int[] arr = new int[2] { 1, 1 };

        for (int i = 1; i <= n; i++)
        {
            if (i < 3)
            {
                ans = 1;
            }
            else
            {
                ans = arr[0] + arr[1];
                arr[0] = arr[1];
                arr[1] = ans;
            }
        }

        return ans;
    }
}

接著在Program.cs裡面寫一個Run的方法來呼叫剛剛寫好的兩個類別：

static void Run(int n, ICompute compute)
{
    Console.WriteLine("1 + ... + N = {1}", n, compute.Iterative(n));
    Console.WriteLine("1 - 2 + 3 ... + N = {1}", n, compute.AdvancedIterative(n));
    Console.WriteLine("N! = {1}", n, compute.Factorial(n));
    Console.WriteLine("Fn = Fn-1 + Fn-2, n = {0}, Ans = {1}", n, compute.Fibonacci(n));
}

這樣就完成囉 !!

原始碼：https://github.com/shuangrain/RecursiveEample

[C#] 基礎複習 – 遞迴練習

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