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justtim發表於 2011-2-26 20:22 | 只看該作者

2/26 5x5的圖形請算出左上至右下不重複路線數量及路線

本帖最後由 justtim 於 2011-2-26 21:37 編輯

如果不是5x5 就將tra函數多加兩個參數x_end , y_end
  1. #include<iostream>
  2. #include<sstream>

  4. using namespace std ;
  5. int all = 0 ;
  6. void tra( int x , int y , string ta )
  7. {
  8.      if( x == 5 && y == 5 )
  9.      {
  10.          all ++ ;
  11.          cout << ta << "(" << x << "," << y << ")" << endl ;            
  12.      }
  13.      else
  14.      {
  15.          stringstream st ;
  16.          st << ta << "(" << x << "," << y << ")" ;
  17.          
  18.           if( x < 5 )
  19.           {
  20.               tra( x + 1 , y , st.str() ) ;
  21.           }
  22.           if( y < 5 )
  23.           {
  24.               tra( x , y + 1 , st.str() ) ;   
  25.           }
  26.      }
  27. }

  29. int main()
  30. {
  31.     tra( 0 , 0 , "" ) ;  
  32.     cout << all << endl ;
  33.     system( "Pause" ) ;
  34. }
複製代碼
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2#
wind1379發表於 2011-2-26 20:41 | 只看該作者
本帖最後由 wind1379 於 2011-2-26 21:22 編輯

#include<iostream>

using namespace std;

int main()
{
    int map2[6][6];
    for(int i=0;i<6;i++)
    {
        for(int j=0;j<6;j++)
        {
            map2[j]=0;
        }
    }
    map2[0][0]=1;
    for(int i=0;i<6;i++)
    {
        for(int j=0;j<6;j++)
        {
            if(i>0)
            {
                map2[j]+=map2[i-1][j];
            }
            if(j>0)
            {
                map2[j]+=map2[j-1];
            }
//            cout << map2[j] << "\t";
        }
//        cout << endl;
    }
    cout << map2[5][5];
   
    system("pause");
}

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3#
a3218290發表於 2011-2-26 20:54 | 只看該作者
#include <iostream>
#include <cstdlib>
#include<string>
using namespace std;
//int a[100][2] ;
int Go(int nowx,int nowy,int a[100][2],int deep)
{
   if(nowx==5 && nowy==5)
   {
      a[deep][0]=nowx ;
      a[deep][1]=nowy;
      for(int i=0;i<=deep;i++)
      {
         cout << "(" << a[i][0] << "," << a[i][1] << ")->"    ;  
      }
      cout  << endl<< endl ;   
   }else if(nowx==5)
   {
      a[deep][0]=nowx ;
      a[deep][1]=nowy;
      Go(5,nowy+1,a,deep+1) ;
   }else if(nowy==5)
   {
     a[deep][0]=nowx ;
     a[deep][1]=nowy;
      Go(nowx+1,5,a,deep+1) ;     
   }else
   {
      a[deep][0]=nowx ;
      a[deep][1]=nowy;
      Go(nowx+1,nowy,a,deep+1) ;
      Go(nowx,nowy+1,a,deep+1) ;   
         
   }   
   
}
int main(void){
   
   int a[100][2] ;
   
   Go(0,0,a,0) ;
   system("pause");
   return 0;
}
列出來了  只有路線+ +

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4#
a3218290發表於 2011-2-26 21:12 | 只看該作者
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(0,0)->(1,0)->(1,1)->(1,2)->(2,2)->(2,3)->(3,3)->(3,4)->(3,5)->(4,5)->(5,5)->

(0,0)->(1,0)->(1,1)->(1,2)->(2,2)->(2,3)->(2,4)->(3,4)->(4,4)->(5,4)->(5,5)->

(0,0)->(1,0)->(1,1)->(1,2)->(2,2)->(2,3)->(2,4)->(3,4)->(4,4)->(4,5)->(5,5)->

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5#
a3218290發表於 2011-2-26 21:14 | 只看該作者
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(0,0)->(1,0)->(1,1)->(1,2)->(1,3)->(2,3)->(3,3)->(4,3)->(4,4)->(5,4)->(5,5)->

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6#
a3218290發表於 2011-2-26 21:15 | 只看該作者
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(0,0)->(0,1)->(0,2)->(0,3)->(0,4)->(0,5)->(1,5)->(2,5)->(3,5)->(4,5)->(5,5)->

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7#
蔡昀修發表於 2011-2-26 21:26 | 只看該作者
完整版
#include <iostream>
#include <cstdlib>
#include<string>
using namespace std;
//int a[100][2] ;
int b = 0;
int Go(int nowx,int nowy,int a[100][2],int deep)
{
   if(nowx==5 && nowy==5)
   {
      a[deep][0]=nowx ;
      a[deep][1]=nowy;
      for(int i=0;i<=deep;i++)
      {
         cout << "(" << a[i][0] << "," << a[i][1] << ")->"    ;  
      }
      cout << endl;
      b++ ;  
   }else if(nowx==5)
   {
      a[deep][0]=nowx ;
      a[deep][1]=nowy;
      Go(5,nowy+1,a,deep+1) ;
   }else if(nowy==5)
   {
     a[deep][0]=nowx ;
     a[deep][1]=nowy;
      Go(nowx+1,5,a,deep+1) ;     
   }else
   {
      a[deep][0]=nowx ;
      a[deep][1]=nowy;
      Go(nowx+1,nowy,a,deep+1) ;
      Go(nowx,nowy+1,a,deep+1) ;   
         
   }   
   
}
int main()
{

   
   int a[100][2] ;
   
   Go(0,0,a,0) ;
   cout << b << "種" <<endl;
   system("pause");
   return 0;
}

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