数学游戏 走迷宫

9+3-6+9-5+4+1-9=0

走迷宫游戏算法~

程序目的:
输入一个任意大小的迷宫,用栈求出一条走出迷宫的路径,并
显示在屏幕上。
程序实现:
可以实现载入迷宫和保存迷宫,附带文件中有4个测试迷宫路径的
文件test1~4.dd。请将这些文件拷贝到TC当前目录下,或者在载
入时写明完全路径。由于屏幕大小的限制,当用户自己输入迷宫
时一定要注意:迷宫大小是有限制的,不小于4*3,不大于30*20。
否则会出现错误信息。输入开始时全是墙,用上下左右键移动,
用Del键删除墙,形成通路,用Enter键添加墙。输入结束时可以
将迷宫保存下来,以dd为扩展名。输入完毕时用F9键来得到结果,
找到路径时,屏幕下方会出现Path found,否则出现Path not found。
程序经Turbo C 2.0编译调试成功。运行时不用添加任何运行库。
不可以在VC上编译。
下载DOS版和windows版的迷宫游戏全部代码
用户名:migong
----------------------------------------------------------------------------------
/*
MazePath Demo BY Turbo C 2.0
Copyright(c) RoverUnion. All right reserved.
Filename: Maze.c
Author Dongchengyu.
Ver 1.10
*/
#include
#include
#include
#include
#include
#define OK 1
#define ERROR 0
#define TRUE 1
#define FALSE 0
#define F9 0x43
#define Esc 0x1b
#define Del 0x53
#define Home 0x47
#define End 0x4f
#define Space 0x20
#define Up 0x48
#define Down 0x50
#define Left 0x4b
#define Right 0x4d
#define Enter 0x0d
#define F2 0x3c
#define F3 0x3d
#define STACK_INIT_SIZE 200
#define STACKINCREMENT 10
typedef int Boolean;
typedef int Status;
typedef struct {
int x;
int y;
} PosType;
typedef struct {
int ord;
PosType seat;
int di;
} SElemType;
typedef struct {
int td;
int foot;
int mark;
} MazeType;
typedef struct {
SElemType *base;
SElemType *top;
int stacksize;
} Stack;
int Maze[20][30];
MazeType maze[20][30];
PosType StartPlace;
PosType EndPlace;
int count;
int m,n;
Boolean b_start=FALSE,b_end=FALSE;
void CreatMaze(void);
Status SaveMaze(char *filename);
Status LoadMaze(char *filename);
void Error(char *message);
Status InitStack(Stack *s);
Status DestroyStack(Stack *s);
Status ClearStack(Stack *s);
Boolean StackEmpty(Stack *s);
int StackLength(Stack *s);
Status Push(Stack *s,SElemType e);
SElemType Pop(Stack *s,SElemType e);
Status GetTop(Stack *s,SElemType *e);
Status StackTraverse(Stack *s,Status (* visit)(SElemType *se));
Boolean Pass(PosType curpos);
void MarkPrint(PosType seat);
void FootPrint(PosType curpos);
PosType NextPos(PosType seat,int di);
Status MazePath(PosType start,PosType end);
void CreatMaze(void)
/* Form the maze. */
{
void Error(char *message);
Status SaveMaze(char *filename);
Status LoadMaze(char *filename);
int i,j;
int x,y;
char c;
char savename[12],loadname[12];
Boolean flag=FALSE,load=FALSE;
clrscr();
printf("Menu:

");
printf("1.Load Mazefile:(*.dd)

");
printf("2.Input Maze:

");
printf("Input your choice: ");
do
{
c=getch();
switch(c)
{
case ''''''''''''''''''''''''''''''''1'''''''''''''''''''''''''''''''': putch(''''''''''''''''''''''''''''''''1''''''''''''''''''''''''''''''''); break;
case ''''''''''''''''''''''''''''''''2'''''''''''''''''''''''''''''''': putch(''''''''''''''''''''''''''''''''2''''''''''''''''''''''''''''''''); break;
case Esc: sleep(1); exit(1);
default: break;
}
}
while(c!=''''''''''''''''''''''''''''''''1''''''''''''''''''''''''''''''''&&c!=''''''''''''''''''''''''''''''''2'''''''''''''''''''''''''''''''') ;
if(c==''''''''''''''''''''''''''''''''1'''''''''''''''''''''''''''''''')
{
printf("

LoadName: ");
scanf("%s",loadname);
if(LoadMaze(loadname))
{
sleep(1); load=TRUE;
}
else { gotoxy(1,9); printf("Load fail! "); }
}
if(!load)
{
printf("
Input the maze''''''''''''''''''''''''''''''''s size:
");
printf("
Input Length :
");
scanf("%d",&m);
printf("
Input Width :
");
scanf("%d",&n);
if(m<4||n<4) Error("Input");
if(m>30||n>20) Error("Maze too large");
for(i=0;i<30;i++)
for(j=0;j<20;j++)
Maze[j][i]=2;
StartPlace.x=0;
StartPlace.y=0;
EndPlace.x=0;
EndPlace.y=0;
clrscr();
printf("
");
for(i=1;i<=n;i++)
{
for(j=1;j<=m;j++)
{
printf(" #");
Maze[i-1][j-1]=0;
}
printf("
");
}
}
gotoxy(65,5);
printf("''''''''''''''''''''''''''''''''#'''''''''''''''''''''''''''''''':Wall");
gotoxy(65,7);
printf("Start:Home");
gotoxy(65,9);
printf("End:End");
gotoxy(65,11);
printf("Delete Wall:Del");
gotoxy(65,13);
printf("Enter Wall:Enter");
gotoxy(65,15);
printf("Save Maze:F2");
gotoxy(65,17);
printf("Complete:F9");
gotoxy(65,19);
printf("Exit:Esc");
gotoxy(4,3);
x=4;y=3;
do
{
c=getch();
switch(c)
{
case Up: if(y>3) { y--; gotoxy(x,y); }
break;
case Down: if(y<n) { y++; gotoxy(x,y); }
break;
case Left: if(x>4) { x-=2; gotoxy(x,y); }
break;
case Right: if(x<2*m-2) { x+=2; gotoxy(x,y); }
break;
case Del: if(y-2==StartPlace.y&&x/2-1==StartPlace.x) b_start=FALSE;
if(y-2==EndPlace.y&&x/2-1==EndPlace.x) b_end=FALSE;
putch('''''''''''''''''''''''''''''''' ''''''''''''''''''''''''''''''''); Maze[y-2][x/2-1]=1; gotoxy(x,y);
break;
case Enter: if(y-2==StartPlace.y&&x/2-1==StartPlace.x) break;
if(y-2==EndPlace.y&&x/2-1==EndPlace.x) break;
putch(''''''''''''''''''''''''''''''''#''''''''''''''''''''''''''''''''); Maze[y-2][x/2-1]=0; gotoxy(x,y);
break;
case Home: if(Maze[y-2][x/2-1]&&!b_start)
{
StartPlace.x=x/2-1;
StartPlace.y=y-2;
putch(''''''''''''''''''''''''''''''''S'''''''''''''''''''''''''''''''');
gotoxy(x,y);
b_start=TRUE;
}
break;
case End: if(Maze[y-2][x/2-1]&&!b_end)
{
EndPlace.x=x/2-1;
EndPlace.y=y-2;
putch(''''''''''''''''''''''''''''''''E'''''''''''''''''''''''''''''''');
gotoxy(x,y);
b_end=TRUE;
}
break;
case Esc: gotoxy(2,22); printf("exit"); sleep(1); exit(1);
case F9: if(b_start&&b_end) flag=TRUE; break;
case F2: gotoxy(2,22);
printf("Savename:");
scanf("%s",savename);
gotoxy(2,22);
if(SaveMaze(savename)) printf("Save OK! ");
else printf("Save fail! ");
sleep(1);
gotoxy(2,22);
printf(" ");
gotoxy(x,y);
break;
default: break;
}
}
while(!flag);
for(i=0;i<30;i++)
for(j=0;j<20;j++)
{
maze[j][i].td=Maze[j][i];
maze[j][i].mark=0;
maze[j][i].foot=0;
}
}
Status LoadMaze(char *file)
/* The maze has been loaded. */
{
FILE *fp;
char *buffer;
char ch;
int i=0,j,k;
Boolean len=FALSE,wid=FALSE;
if((fp=fopen(file,"r"))==NULL)
return ERROR;
buffer=(char *)malloc(600*sizeof(char));
ch=fgetc(fp);
while(ch!=EOF)
{
buffer[i]=ch;
i++;
ch=fgetc(fp);
}
m=30;n=20;
for(i=0;i<600;i++)
{
j=i/30; k=i%30;
if(buffer[i]==''''''''''''''''''''''''''''''''2''''''''''''''''''''''''''''''''&&!len){ m=i; len=TRUE; }
if(k==0&&buffer[i]==''''''''''''''''''''''''''''''''2''''''''''''''''''''''''''''''''&&!wid){ n=j; wid=TRUE; }
switch(buffer[i])
{
case ''''''''''''''''''''''''''''''''0'''''''''''''''''''''''''''''''': Maze[j][k]=0; break;
case ''''''''''''''''''''''''''''''''1'''''''''''''''''''''''''''''''': Maze[j][k]=1; break;
case ''''''''''''''''''''''''''''''''2'''''''''''''''''''''''''''''''': Maze[j][k]=2; break;
case ''''''''''''''''''''''''''''''''3'''''''''''''''''''''''''''''''': Maze[j][k]=1;
StartPlace.x=k;
StartPlace.y=j;
b_start=TRUE;
break;
case ''''''''''''''''''''''''''''''''4'''''''''''''''''''''''''''''''': Maze[j][k]=1;
EndPlace.x=k;
EndPlace.y=j;
b_end=TRUE;
break;
default : break;
}
}
fclose(fp);
clrscr();
for(i=0;i<30;i++)
for(j=0;j<20;j++)
{
maze[j][i].td=Maze[j][i];
maze[j][i].foot=0;
maze[j][i].mark=0;
if(Maze[j][i]==0)
{
gotoxy(2*i+2,j+2);
putch(''''''''''''''''''''''''''''''''#'''''''''''''''''''''''''''''''');
}
}
gotoxy(2*StartPlace.x+2,StartPlace.y+2);
putch(''''''''''''''''''''''''''''''''S'''''''''''''''''''''''''''''''');
gotoxy(2*EndPlace.x+2,EndPlace.y+2);
putch(''''''''''''''''''''''''''''''''E'''''''''''''''''''''''''''''''');
return OK;
}
Status SaveMaze(char *filename)
/* The maze has been saved. */
{
FILE *fp;
char *buffer;
int i,j,k;
fp=fopen(filename,"wb");
buffer=(char *)malloc(600*sizeof(char));
for(i=0;i<600;i++)
{
j=i/30; k=i%30;
switch(Maze[j][k])
{
case 0: buffer[i]=''''''''''''''''''''''''''''''''0''''''''''''''''''''''''''''''''; break;
case 1: buffer[i]=''''''''''''''''''''''''''''''''1''''''''''''''''''''''''''''''''; break;
case 2: buffer[i]=''''''''''''''''''''''''''''''''2''''''''''''''''''''''''''''''''; break;
default : Error("Write"); break;
}
if(k==StartPlace.x&&j==StartPlace.y) buffer[i]=''''''''''''''''''''''''''''''''3'''''''''''''''''''''''''''''''';
if(k==EndPlace.x&&j==EndPlace.y) buffer[i]=''''''''''''''''''''''''''''''''4'''''''''''''''''''''''''''''''';
}
fwrite(buffer,600,1,fp);
free(buffer);
fclose(fp);
return OK;
}
void Error(char *message)
{
clrscr();
fprintf(stderr,"Error:%s
",message);
exit(1);
} /* Error */

Status InitStack(Stack *s)
/* The stack s has been created and is initialized to be empty. */
{
s->base=(SElemType *)malloc(STACK_INIT_SIZE*sizeof(SElemType));
if(!s->base) Error("Overflow");
s->top=s->base;
s->stacksize=STACK_INIT_SIZE;
return OK;
} /* InitStack */
Status DestroyStack(Stack *s)
/* The stack s has been destroyed. */
{
s->top=NULL;
s->stacksize=0;
free(s->base);
s->base=NULL;
return OK;
} /* DestroyStack */
Status ClearStack(Stack *s)
/* The stack has been clear to be maximum. */
{
s->top=s->base;
s->stacksize=STACK_INIT_SIZE;
return OK;
} /* ClearStack */
Boolean StackEmpty(Stack *s)
/* Check if the stack s is empty. */
{
if(s->top==s->base) return TRUE;
else return FALSE;
} /* StackEmpty */
int StackLength(Stack *s)
/* Gain the length of the stack s. */
{
if(s->top>s->base) return (int)(s->top-s->base);
else return 0;
} /* StackLength */
Status Push(Stack *s,SElemType e)
/* The element e has been pushed into the stack s. */
{
if(s->top-s->base>=s->stacksize)
{
s->base=(SElemType *)realloc(s->base,
(s->stacksize+STACKINCREMENT)*sizeof(SElemType));
if(!s->base) Error("Overflow");
s->top=s->base+s->stacksize;
s->stacksize+=STACKINCREMENT;
}
*s->top++=e;
return OK;
} /* Push */
SElemType Pop(Stack *s,SElemType e)
/* The element e has been removed from the stack s. */
{
if(s->top==s->base) Error("Pop");
e=*--s->top;
return e;
} /* Pop */
Status GetTop(Stack *s,SElemType *e)
/* The element e has got to the top of the stack s.*/
{
if(s->top==s->base) Error("GetTop");
*e=*(s->top-1);
return OK;
} /* GetTop */
/* Traverse the stack s using ''''''''''''''''''''''''''''''''visiting'''''''''''''''''''''''''''''''' function. */
/* Status StackTraverse(Stack *s,Status (* visit)(SElemType *se))
{
SElemType p;
int result;
if(s->top==s->base) return ERROR;
p=s->base;
while(!(p==s->top))
{
result=(*visit)(p);
p++;
}
return OK;
} */
Boolean Pass(PosType curpos)
/* Check if the current position can be passed. */
{
if(maze[curpos.x][curpos.y].td==1&&
maze[curpos.x][curpos.y].foot==0&&maze[curpos.x][curpos.y].mark==0)
return TRUE;
else return FALSE;
} /* Pass */
void MarkPrint(PosType seat)
/* Mark the position seat. */
{
maze[seat.x][seat.y].mark=-1;
/* Marking ''''''''''''''''''''''''''''''''-1'''''''''''''''''''''''''''''''' symbolize the current position cannot be put. */
} /* MarkPrint */
void FootPrint(PosType curpos)
/* The foot of the curpos of the maze has been set ''''''''''''''''''''''''''''''''true''''''''''''''''''''''''''''''''. */
{
maze[curpos.x][curpos.y].foot=1;
} /* FootPrint */
PosType NextPos(PosType seat,int di)
{
switch(di)
{
case 1: seat.y++; return seat; /* Eastward */
case 2: seat.x++; return seat; /* Southward */
case 3: seat.y--; return seat; /* Westward */
case 4: seat.x--; return seat; /* Northward */
default: seat.x=0; seat.y=0; return seat;
}
} /* NextPos */

/* The key to the program. */
/* Pre: The maze array & the startplace & the endplace.
Post: Find the one traverse of the maze and perform the mazepath.
Uses: The ADT stack class.
*/
Status MazePath(PosType start,PosType end)
{
PosType curpos;
int curstep;
SElemType e;
Stack *s,stack;
stack.base=(SElemType *)malloc(STACK_INIT_SIZE*sizeof(SElemType));
if(!stack.base) Error("Overflow");
stack.top=stack.base;
stack.stacksize=STACK_INIT_SIZE;
s=&stack;
curpos=start;
curstep=1;
do
{
if(Pass(curpos))
{
FootPrint(curpos);
e.ord=curstep; e.seat=curpos; e.di=1;
gotoxy((curpos.y+1)*2,curpos.x+2);
putch(''''''''''''''''''''''''''''''''@'''''''''''''''''''''''''''''''');
delay(8000); /* pospone time. */
Push(s,e);
if(curpos.x==end.x&&curpos.y==end.y) /* Proceed recursively. */
{
DestroyStack(s);
return TRUE;
}
curpos=NextPos(curpos,1); /* Try next position. */
curstep++;
}
else
{
if(!StackEmpty(s))
{
e=Pop(s,e); /* Removed e from s. */
while(e.di==4&&!StackEmpty(s)) /* Four directions have been checked
and s is not empty. */
{
MarkPrint(e.seat);
gotoxy((e.seat.y+1)*2,e.seat.x+2);
putch(''''''''''''''''''''''''''''''''@'''''''''''''''''''''''''''''''');
delay(8000); /* Pospone time. */
gotoxy((e.seat.y+1)*2,e.seat.x+2);
putch('''''''''''''''''''''''''''''''' '''''''''''''''''''''''''''''''');
e=Pop(s,e); /* Remove e from s. */
curstep--;
}
if(e.di<4) /* The current position hasnot been checked. */
{
e.di++;
Push(s,e); /* Insert e into s. */
curpos=NextPos(e.seat,e.di); /* Try next position. */
}
}
}
}
while(!StackEmpty(s));
DestroyStack(s);
return FALSE;
} /* MazePath */
void main()
{
PosType start,end;
CreatMaze();
start.x=StartPlace.y;
start.y=StartPlace.x;
end.x=EndPlace.y;
end.y=EndPlace.x;
if(MazePath(start,end))
{
gotoxy(2,22);
printf("Path found
");
}
else
{
gotoxy(2,22);
printf("Path not found
");
}
getch();
clrscr();
}

一直走到5的时候,越往下走,选择都会有两种。那么走到5的时候就是16种走法,剩下的 我们又得选再给他加一种,能选择两种走法的5有3个那就加上3,那么分别是16+3+2+1。
例如:
1-9:9个数字
10-99:2×90=180个数字
100-999每个数有3个数字
2000-9-180=1811
1811÷3=603…2
所以是100+603-1=702,是下个三位数的中间一个数,所以是703中的0。
形式:
把相等的式子(或字母表示的数)通过“=”连接起来。
等式分为含有未知数的等式和不含未知数的等式。
例如:
x+1=3——含有未知数的等式;
2+1=3——不含未知数的等式。
需要注意的是,个别含有未知数的等式无解,但仍是等式,例如:x+1=x——x无解。

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#谭祥# 你孩子要玩啊!那好说啊!只要按住巧虎用鼠标控制方向,躲过路上的各种障碍,就可以完成任务了.是不是听起来很简单的啊!要是有点心动得话也想话赶紧去www.tt1098.com/l11爽一下吧!里面还有很多走迷宫的游戏很考验智力的,最适合儿童玩的啊!

#19536645311# 走迷宫游戏是儿童什么思维? - ******
#谭祥# 空间逻辑思维迷宫游戏会有效的锻炼孩子的空间逻辑思维,根据美国的专家实验表明,孩子在玩走迷宫游戏的时候,大脑记录空间关系的顶叶区变的非常活跃,这表明的正是迷宫游戏对孩子空间能力的锻炼.身边有个朋友告诉我,他的孩子非常喜欢玩迷宫游戏,五岁的他已经能非常清楚的跟人描述某个地点,比如去超市需要走几条马路,过几条红绿灯,旁边都有什么等等.走迷宫游戏对孩子有这么多的好处,你是不是也动心了,想让孩子去试试?要告诉大家的是,现在市场上常见的迷宫游戏,重复性很多,故事性不强,在激发孩子兴趣,锻炼孩子思维方面并不明显.

#19536645311# 至慧学堂的趣味数学游戏有人玩过吗? ******
#谭祥# 至慧学堂网站上目前有9款原创的趣味数学小游戏“秒在动一根”、“多摆三角形”、“PK小睿”、 “一家老小坐座位”、“过河”、“过河升级版”、“12生肖少了谁”、“配对鞋子”、“走迷宫”. 更多寓教于乐的趣味数学小游戏正在开发中,不过你可以继续关注哦!

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