最近到某公司面試後,被問到2個關於演算法的題目:
1.最大子段和(一個經典的動態規划算法求解題)
2.已知資料類型棧,請實現隊列。
代碼如下:
using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;
namespace ConsoleApplication2
{
class Program
{
static void Main(string[] args)
{
int[] a = new int[] { -1, 3, -5, 1, 8, -7, 8, -5, 6, -5, -6 };
Console.WriteLine("最大子段和是:"+MaxSum(a));
Queue q = new Queue();
for (int i = 0; i < 10; i++) q.Push(i);
for (int i = 0; i < 11; i++) Console.WriteLine(q.Pop());
for (int i = 0; i < 10; i++) q.Push(i);
for (int i = 0; i < 11; i++) Console.WriteLine(q.Pop());
}
/// <summary>
/// 最大子段和
/// </summary>
/// <param name="array"></param>
/// <returns></returns>
static int MaxSum(int[] array)
{
int b=0;
int sum=0;
for (int i = 0; i < array.Length; i++)
{
if (b > 0) b += array[i];
else b = array[i];
if (sum < b) sum = b;
}
return sum;
}
}
/// <summary>
/// 自訂隊列
/// </summary>
class Queue
{
Stack<int> sa = new Stack<int>();
Stack<int> sb = new Stack<int>();
/// <summary>
/// 將元素插入隊列
/// </summary>
/// <param name="item"></param>
public void Push(int item)
{
sa.Push(item);
}
/// <summary>
/// 從隊列刪除並返回一個元素
/// </summary>
/// <returns></returns>
public int? Pop()
{
if (IsEmpty()) return null;
if (sb.Count == 0)
{
while (sa.Count > 0) sb.Push(sa.Pop());
return sb.Pop();
}
else return sb.Pop();
}
/// <summary>
/// 判斷隊列是否為空白
/// </summary>
/// <returns></returns>
public bool IsEmpty()
{
if (sa.Count == 0 && sb.Count == 0) return true;
else return false;
}
}
}