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            The Fourth Dimension Space

            枯葉北風(fēng)寒,忽然年以殘,念往昔,語默心酸。二十光陰無一物,韶光賤,寐難安; 不畏形影單,道途阻且慢,哪曲折,如渡飛湍。斬浪劈波酬壯志,同把酒,共言歡! -如夢(mèng)令

            數(shù)學(xué)建模——商人過河問題 Beta2.0

            早知道要寫這么長 就用類寫了 呵呵

            //copyright by abilitytao,Nanjing University of Science and Technology
            //thanks to Mr Xu Chungen
            //本程序在商人數(shù)<=1000,隨從數(shù)<=1000時(shí)測(cè)試通過,其余數(shù)據(jù)不能保證其正確性.
            #include<iostream>
            #include <windows.h>
            #include <math.h>
            #include <stdio.h>
            #include <algorithm>
            #include<time.h>
            #include<conio.h>
            using namespace std;
            #define NMAX 1001


            struct node
            {
             int x;
             int y;
            }line[100000001];

            struct node2
            {
             int data1;
             int data2;
             int prex1;
             int prey1;
             int prex2;
             int prey2;
            };

            node2 a[NMAX][NMAX];
            int showpath[NMAX][NMAX];

            int main ()
            {
              
              int N=30;
              while(N--)
              {
               system("cls");
               cout<<endl<<endl<<endl<<endl<<endl;
               cout<<"     ☆★☆★☆★☆★☆★☆★☆★☆★☆★☆★☆★☆★☆★☆★☆★☆★☆★☆"<<endl;
               cout<<"     ★                                                                  ★"<<endl;
               cout<<"     ☆                                                                  ☆"<<endl;
               cout<<"     ★                   歡迎來到商人過河模型演示程序                   ★"<<endl;
               cout<<"     ☆                                                                  ☆"<<endl; 
               cout<<"     ★                       制    作:羅偉濤(weitao)                 ★"<<endl;
               cout<<"     ☆                       指導(dǎo)老師:許春根(南京理工大學(xué)應(yīng)用數(shù)學(xué)系) ☆"<<endl;
               cout<<"     ★                                                                  ★"<<endl;
               cout<<"     ☆★☆★☆★☆★☆★☆★☆★☆★☆★☆★☆★☆★☆★☆★☆★☆★☆★☆"<<endl<<endl<<endl;
               
               Sleep(150);
               system("cls");
               cout<<endl<<endl<<endl<<endl<<endl;
               cout<<"     ★☆★☆★☆★☆★☆★☆★☆★☆★☆★☆★☆★☆★☆★☆★☆★☆★☆★"<<endl;
               cout<<"     ☆                                                                  ☆"<<endl;
               cout<<"     ★                                                                  ★"<<endl;
               cout<<"     ☆                   歡迎來到商人過河模型演示程序                   ☆"<<endl;
               cout<<"     ★                                                                  ★"<<endl;
               cout<<"     ☆                       制    作:羅偉濤(weitao)                 ☆"<<endl;
               cout<<"     ★                       指導(dǎo)老師:許春根(南京理工大學(xué)應(yīng)用數(shù)學(xué)系) ★"<<endl;
               cout<<"     ☆                                                                  ☆"<<endl;
               cout<<"     ★☆★☆★☆★☆★☆★☆★☆★☆★☆★☆★☆★☆★☆★☆★☆★☆★☆★"<<endl<<endl<<endl;
               
               Sleep(150);
              }
              cout<<"問題描述: 三個(gè)商人各帶一個(gè)隨從乘船過河,一只小船只能容納2人,由他們自己劃船。三個(gè)商人竊聽到隨從們密謀,在河的任意一岸上,只要隨從的人數(shù)比商人多,就殺掉商人。但是如何乘船渡河的決策權(quán)在商人手中,商人們?nèi)绾伟才哦珊佑?jì)劃確保自身安全?"<<endl;
              cout<<"\n\n\n\n                                                   請(qǐng)按任意鍵進(jìn)入演示程序..."<<endl;
              char any;
              getch();

             //////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
             int n;
             int m;
             int i,j;
             int flagnum1;
             int flagnum2;
             while(1)
             { 
              memset(showpath,0,sizeof(showpath));
              printf("請(qǐng)輸入商人數(shù):");
              scanf("%d",&n);
              printf("請(qǐng)輸入隨從數(shù):");
              scanf("%d",&m);
              if(n>1000)
              {
               printf("本程序僅在1000以內(nèi)保證其正確性,請(qǐng)重新輸入\n");
               continue;
              }
              if(n<m)
              {
               printf("商人數(shù)顯然不可能少于隨從數(shù),請(qǐng)重新輸入\n");
               continue;
              }


             


              for(i=0;i<=n;i++)
              {
               for(j=0;j<=m;j++)
               {
                if(i==0||i==n)
                {
                 a[i][j].data1=1;
                 a[i][j].data2=1;
                 continue;
                }
                if(i>=j&&n-i>=m-j)
                {
                 a[i][j].data1=1;
                 a[i][j].data2=1;
                }
                 
               }
              }
              ////////////////////////////////////////////////////////////////////以上為初始化////////////////////////////////////////////////////////////////////////////////
              int flag;
              int front=1;
              int rear=1;
              line[rear].x=n;
              line[rear].y=m;
              flag=1;
              flagnum1=1;
              flagnum2=0;
              while(front<=rear)
              {
               if(line[front].x==0&&line[front].y==0)
                break;
               if(flag==1)
               {
                if(a[line[front].x][line[front].y].data1!=1)
                {
                 flagnum1--;
                 if(flagnum1==0)
                  flag=2;
                 front++;
                 continue;
                }
                
                a[line[front].x][line[front].y].data1=0;
                flagnum1--;
                if(flagnum1==0)
                 flag=2;
                if(line[front].x-1>=0&&a[line[front].x-1][line[front].y].data2==1)
                {
                 rear++;
                 line[rear].x=line[front].x-1;
                 line[rear].y=line[front].y;
                 a[line[rear].x][line[rear].y].prex2=line[front].x;
                 a[line[rear].x][line[rear].y].prey2=line[front].y;
                 flagnum2++;
                }
                if(line[front].y-1>=0&&a[line[front].x][line[front].y-1].data2==1)
                {
                 rear++;
                 line[rear].x=line[front].x;
                 line[rear].y=line[front].y-1;
                 a[line[rear].x][line[rear].y].prex2=line[front].x;
                 a[line[rear].x][line[rear].y].prey2=line[front].y;
                 flagnum2++;
                }
                if(line[front].x-1>=0&&line[front].y-1>=0&&a[line[front].x-1][line[front].y-1].data2==1)
                {
                 rear++;
                 line[rear].x=line[front].x-1;
                 line[rear].y=line[front].y-1;
                 a[line[rear].x][line[rear].y].prex2=line[front].x;
                 a[line[rear].x][line[rear].y].prey2=line[front].y;
                 flagnum2++;
                }
                if(line[front].x-2>=0&&a[line[front].x-2][line[front].y].data2==1)
                {
                 rear++;
                 line[rear].x=line[front].x-2;
                 line[rear].y=line[front].y;
                 a[line[rear].x][line[rear].y].prex2=line[front].x;
                 a[line[rear].x][line[rear].y].prey2=line[front].y;
                 flagnum2++;
                }
                if(line[front].y-2>=0&&a[line[front].x][line[front].y-2].data2==1)
                {
                 rear++;
                 line[rear].x=line[front].x;
                 line[rear].y=line[front].y-2;
                 a[line[rear].x][line[rear].y].prex2=line[front].x;
                 a[line[rear].x][line[rear].y].prey2=line[front].y;
                 flagnum2++;
                }
                front++;
                continue;
               }
               else if(flag==2)
               {
                if(a[line[front].x][line[front].y].data2!=1)
                {
                 flagnum2--;
                 if(flagnum2==0)
                  flag=1;
                 front++;
                 continue;
                 
                }
                if(line[front].x==0&&line[front].y==0)
                 break;
                a[line[front].x][line[front].y].data2=0;
                flagnum2--;
                if(flagnum2==0)
                 flag=1;
                if(line[front].x+1<=n&&a[line[front].x+1][line[front].y].data1==1)
                {

                
                rear++;
                line[rear].x=line[front].x+1;
                line[rear].y=line[front].y;
                a[line[rear].x][line[rear].y].prex1=line[front].x;
                a[line[rear].x][line[rear].y].prey1=line[front].y;
                flagnum1++;
                }
                if (line[front].y+1<=m&&a[line[front].x][line[front].y+1].data1==1)
                {
                
                 rear++;
                 line[rear].x=line[front].x;
                 line[rear].y=line[front].y+1;
                 a[line[rear].x][line[rear].y].prex1=line[front].x;
                 a[line[rear].x][line[rear].y].prey1=line[front].y;
                 flagnum1++;
                }
                if(line[front].x+1<=n&&line[front].y+1<=m&&a[line[front].x+1][line[front].y+1].data1==1)
                {
                 rear++;
                 line[rear].x=line[front].x+1;
                 line[rear].y=line[front].y+1;
                 a[line[rear].x][line[rear].y].prex1=line[front].x;
                 a[line[rear].x][line[rear].y].prey1=line[front].y;
                 flagnum1++;
                }
                if(line[front].x+2<=n&&a[line[front].x+2][line[front].y].data1==1)
                {
                 rear++;
                 line[rear].x=line[front].x+2;
                 line[rear].y=line[front].y;
                 a[line[rear].x][line[rear].y].prex1=line[front].x;
                 a[line[rear].x][line[rear].y].prey1=line[front].y;
                 flagnum1++;
                }
                if(line[front].y+2<=m&&a[line[front].x][line[front].y+2].data1==1)
                {

                
                rear++;
                line[rear].x=line[front].x;
                line[rear].y=line[front].y+2;
                a[line[rear].x][line[rear].y].prex1=line[front].x;
                a[line[rear].x][line[rear].y].prey1=line[front].y;
                flagnum1++;
                
                }
                front++;
                continue;
               }
               front++;
              }
              if(front>rear)
              {
               cout<<"沒有可行的方案"<<endl;
               int choice;
               printf("如果您要繼續(xù)測(cè)試,請(qǐng)輸入1,退出請(qǐng)輸入2:");
               scanf("%d",&choice);
               if(choice==1)
                continue;
               else
                break;
              }
              /////////////////////////////////////////////////////////////////以上為搜索過程/////////////////////////////////////////////////////////////////////
              int choiceforaction;
              int tempx=0;
              int tempy=0;
              int markx=0;
              int marky=0;
              int flagforreturn=1;
              int step=1;
              ////////////////////////////////////////////////////////以上是演示變量初始化//////////////////////////////////////////////////////////
              printf("請(qǐng)問您需要?jiǎng)討B(tài)演示還是文字演示(1/0)?:");
              scanf("%d",&choiceforaction);
              if(choiceforaction==1)
              {
               if(n>37)
               {
                printf("商人數(shù)大于37時(shí)會(huì)造成顯示錯(cuò)誤,請(qǐng)用文字模式顯示\n");
                continue;
               }
               printf("由于屏幕寬度的原因,商人數(shù)和隨從數(shù)必須<=37,并且在觀看過程中請(qǐng)保證屏幕最大化\n");
               system("pause");
               


               int i,j;
               system("cls");
               showpath[n][m]=1;
               for(i=m;i>=0;i--)
               {
                cout<<i<<' ';
                for(j=0;j<=n;j++)
                {

                 if(showpath[j][i]==1)
                  cout<<'*'<<' ';
                 else
                  cout<<"  ";
                }
                cout<<endl;
               }
               for(i=-1;i<=n;i++)
               {
                if(i==-1)
                {
                 cout<<"* ";
                 continue;
                }
                else
                 cout<<i%10<<' ';
               }
               cout<<endl;
               cout<<"此時(shí)坐標(biāo)為("<<n<<','<<m<<')'<<endl;
               Sleep(1000);
               
               
               
               
               
               while(1)
               {
                if (flagforreturn==1)
                {
                 if(markx==n&&marky==m)
                  break;
                 flagforreturn=2;
                 tempx=a[markx][marky].prex2;
                 tempy=a[markx][marky].prey2;
                 showpath[n-tempx][m-tempy]=1;
                 system("cls");
                 for(i=m;i>=0;i--)
                 {
                  cout<<i<<' ';
                  for(j=0;j<=n;j++)
                  {

                   if(showpath[j][i]==1)
                    cout<<'*'<<' ';
                   else
                    cout<<"  ";
                  }
                  cout<<endl;
                 }
                 for(i=-1;i<=n;i++)
                 {
                  if(i==-1)
                  {
                   cout<<"* ";
                   continue;
                  }
                  else
                   cout<<i%10<<' ';
                 }
                 cout<<endl;
                 cout<<"此時(shí)坐標(biāo)為("<<n-tempx<<','<<m-tempy<<')'<<endl;
                 Sleep(1000);


                 markx=tempx;
                 marky=tempy;
                 step++;
               
                }
                else if(flagforreturn==2)
                {
                 if(markx==n&&marky==m)
                  break;
                 flagforreturn=1;
                 tempx=a[markx][marky].prex1;
                 tempy=a[markx][marky].prey1;
                 showpath[n-tempx][m-tempy]=1;

                 system("cls");
                 for(i=m;i>=0;i--)
                 {
                  cout<<i<<' ';
                  for(j=0;j<=n;j++)
                  {

                   if(showpath[j][i]==1)
                    cout<<'*'<<' ';
                   else
                    cout<<"  ";
                  }
                  cout<<endl;
                 }
                 for(i=-1;i<=n;i++)
                 {
                  if(i==-1)
                  {
                   cout<<"* ";
                   continue;
                  }
                  else
                   cout<<i%10<<' ';
                 }
                 cout<<endl;
                 cout<<"此時(shí)坐標(biāo)為("<<n-tempx<<','<<m-tempy<<')'<<endl;
                 Sleep(1000);
                 markx=tempx;
                 marky=tempy;
                 step++;
                 //Sleep(5000);
                }
               }
               int choiceforcontinue;
               printf("如果您要繼續(xù)測(cè)試,請(qǐng)輸入1,退出請(qǐng)輸入2:");
               scanf("%d",&choiceforcontinue);
               if(choiceforcontinue==1)
                continue;
               else
                break;
              }

              //-----------------------------------------------------------------------------------------------------------------------//

              else
              {
               printf("初始狀態(tài)下,河南岸有%d個(gè)商人,%d個(gè)隨從\n",n,m);
               while(1)
               {
                
                //Sleep(5000);
                
                if (flagforreturn==1)
                {
                 if(markx==n&&marky==m)
                  break;
                 flagforreturn=2;
                 tempx=a[markx][marky].prex2;
                 tempy=a[markx][marky].prey2;
                 printf("第%d步:河南岸有%d個(gè)商人,%d個(gè)隨從,此時(shí),對(duì)岸有%d個(gè)商人,%d個(gè)隨從(此時(shí)船在北岸)\n\n",step,n-tempx,m-tempy,tempx,tempy);
                 ///////////////////////////////////////////////////////////////////////////////////正確性檢測(cè)/////////////////////////////////////////////////////////////////////////////////////
                /* if(tempx==0||tempx==n||(tempx>=tempy&&n-tempx>=m-tempy)&&(n-markx+m-marky>n-tempx+m-tempy))
                  cout<<"此步正確"<<endl;
                 else
                  cout<<"此步錯(cuò)誤"<<endl;*///
                 ////////////////////////////////////////////////////////////////////////////////////////正確性檢測(cè)/////////////////////////////////////////////////////////////////////////////////////
                 markx=tempx;
                 marky=tempy;
                 step++;
                 //Sleep(5000);
                }
                else if(flagforreturn==2)
                {
                 if(markx==n&&marky==m)
                  break;
                 flagforreturn=1;
                 tempx=a[markx][marky].prex1;
                 tempy=a[markx][marky].prey1;

                 printf("第%d步:河南岸有%d個(gè)商人,%d個(gè)隨從,此時(shí),對(duì)岸有%d個(gè)商人,%d個(gè)隨從(此時(shí)船在南岸)\n\n",step,n-tempx,m-tempy,tempx,tempy);

                 ////////////////////////////////////////////////////////////////////////////////////////正確性檢測(cè)/////////////////////////////////////////////////////////////////////////////////////
                 /* if(tempx==0||tempx==n||(tempx>=tempy&&n-tempx>=m-tempy)&&(n-markx+m-marky<n-tempx+m-tempy))
                  cout<<"此步正確"<<endl;
                 else
                  cout<<"此步錯(cuò)誤"<<endl;*/
                 ////////////////////////////////////////////////////////////////////////////////////////正確性檢測(cè)/////////////////////////////////////////////////////////////////////////////////////
                 markx=tempx;
                 marky=tempy;
                 step++;
                 //Sleep(5000);
                }
               }
               int choiceforcontinue;
               printf("如果您要繼續(xù)測(cè)試,請(qǐng)輸入1,退出請(qǐng)輸入2:");
               scanf("%d",&choiceforcontinue);
               if(choiceforcontinue==1)
                continue;
               else
                break;
              }
             }
             //////////////////////////////////////////////////以上為動(dòng)畫演示及文字演示部分////////////////////////////////////////////////////////
             

             

             


             ///////////////////////////////////////////////////////////////////以下是結(jié)束動(dòng)畫部分/////////////////////////////////////////////////////////////////////////////
              N=20;
             while(N--)
             {
              system("cls");
              cout<<"                                                                               "<<endl;
              cout<<"                                                                               "<<endl;
              cout<<"                                                                               "<<endl;
              cout<<"                                                                               "<<endl;
              cout<<"                              謝謝您的使用!再見!                             "<<endl;
              cout<<"                                                                               "<<endl;
              cout<<"                                                                               "<<endl;
              cout<<"                                                                               "<<endl;
              cout<<"                                                                               "<<endl;
              cout<<"                                                                               "<<endl;
              cout<<"                            ·                                                 "<<endl;
              cout<<"                                                                               "<<endl;
              cout<<"                                                      ·                       "<<endl;
              cout<<"                                                                               "<<endl;
              cout<<"                                                                               "<<endl;
              cout<<"                                                                               "<<endl;
              cout<<"                                                                               "<<endl;
              cout<<"                                                                               "<<endl;
              Sleep(10);
              system("cls");
              cout<<"                                                                               "<<endl;
              cout<<"                                                                               "<<endl;
              cout<<"                                                                               "<<endl;
              cout<<"                                                                               "<<endl;
              cout<<"                              謝謝您的使用!再見!                             "<<endl;
              cout<<"                                                                               "<<endl;
              cout<<"                                                                               "<<endl;
              cout<<"                                                                               "<<endl;
              cout<<"                            │                                                 "<<endl;
              cout<<"                         \    /                                              "<<endl;
              cout<<"                       ─        ─                   │                       "<<endl;
              cout<<"                         /    \                  \    /                    "<<endl;
              cout<<"                            │                   ─        ─                  "<<endl;
              cout<<"                                                   /    \                    "<<endl;
              cout<<"                                                      │                       "<<endl;
              cout<<"                                                                               "<<endl;
              cout<<"                                                                               "<<endl;
              cout<<"                                                                               "<<endl;
              Sleep(10);
              system("cls");
              cout<<"                                                                               "<<endl;
              cout<<"                                                                               "<<endl;
              cout<<"                                                                               "<<endl;
              cout<<"                                                                               "<<endl;
              cout<<"                              謝謝您的使用!再見!                             "<<endl;        
              cout<<"                                                                               "<<endl;
              cout<<"                                                                               "<<endl;
              cout<<"                            │                                                 "<<endl;
              cout<<"                       \        /                                            "<<endl;
              cout<<"                                                      │                       "<<endl;
              cout<<"                     ─            ─            \        /                  "<<endl;
              cout<<"                                                                               "<<endl;
              cout<<"                       /        \            ─            ─                "<<endl;
              cout<<"                            │                                                 "<<endl;
              cout<<"                                                 /        \                  "<<endl;
              cout<<"                                                      │                       "<<endl;
              cout<<"                                                                               "<<endl;
              cout<<"                                                                               "<<endl;
              Sleep(10);
              system("cls");
              cout<<"                                                                               "<<endl;
              cout<<"                                                                               "<<endl;
              cout<<"                                                                               "<<endl;
              cout<<"                                                                               "<<endl;
              cout<<"                              謝謝您的使用!再見!                             "<<endl;
              cout<<"                                                                               "<<endl;
              cout<<"                                                                               "<<endl;
              cout<<"                                                                               "<<endl;
              cout<<"                                                                               "<<endl;
              cout<<"                                                                               "<<endl;
              cout<<"                                                                               "<<endl;
              cout<<"                                                                               "<<endl;
              cout<<"                                                                               "<<endl;
              cout<<"                                                                               "<<endl;
              cout<<"                                                                               "<<endl;
              cout<<"                                                                               "<<endl;
              cout<<"                                                                               "<<endl;
              cout<<"                                                                               "<<endl;
              Sleep(10);
             }

            system("pause");
             return 0;
            }


             

            posted on 2009-02-26 20:06 abilitytao 閱讀(3566) 評(píng)論(9)  編輯 收藏 引用

            評(píng)論

            # re: 數(shù)學(xué)建模——商人過河問題 Beta2.0 2009-02-27 08:30 臨風(fēng)

            不錯(cuò),N年前參加數(shù)學(xué)建模的時(shí)候還寫過這樣的程序~~  回復(fù)  更多評(píng)論   

            # re: 數(shù)學(xué)建模——商人過河問題 Beta2.0 2009-02-27 17:12 匿名

            cout<<" \ / "<<endl;
            這個(gè)輸出不是有問題?  回復(fù)  更多評(píng)論   

            # re: 數(shù)學(xué)建模——商人過河問題 Beta2.0[未登錄] 2009-02-27 20:52 abilitytao

            @匿名
            程序可以運(yùn)行啊 應(yīng)該沒問題吧
              回復(fù)  更多評(píng)論   

            # re: 數(shù)學(xué)建模——商人過河問題 Beta2.0 2009-03-02 10:00 匿名

            @abilitytao
            要想輸出“\”,代碼不是要cout<<" \\"<<endl; 的嗎?  回復(fù)  更多評(píng)論   

            # re: 數(shù)學(xué)建模——商人過河問題 Beta2.0[未登錄] 2009-03-02 13:01 abilitytao

            你編譯看看就知道咯  回復(fù)  更多評(píng)論   

            # re: 數(shù)學(xué)建模——商人過河問題 Beta2.0 2009-03-05 20:12 @匿名

            你好,能不能把注釋也寫上呢?大部分都看不懂呀!我的QQ是515305325!  回復(fù)  更多評(píng)論   

            # re: 數(shù)學(xué)建模——商人過河問題 Beta2.0 2009-03-05 20:19 匿名

            寫了注釋可以給我的郵箱發(fā)一份嗎?謝謝你了,我 才學(xué)C++,有很多都不懂,所以才要寫注釋的!我的郵箱是lgw1860@yahoo.cn 。  回復(fù)  更多評(píng)論   

            # re: 數(shù)學(xué)建模——商人過河問題 Beta2.0 2009-03-07 23:05 匿名

            太棒了,佩服!!!  回復(fù)  更多評(píng)論   

            # re: 數(shù)學(xué)建模——商人過河問題 Beta2.0[未登錄] 2009-03-09 22:36 abilitytao

            如果有問題可以在qq上直接問我 這樣更有針對(duì)性一點(diǎn)呵  回復(fù)  更多評(píng)論   


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