利用C语言来解决类似迷宫的问题，下面例子分别用两种方法来解决！
[Problem]
There is a maze as shown in the diagram below. In the maze in the form of a 100*100 matrix, the white background represents the road while the yellow background represents the wall.
Assuming the upper left corner block to be (0, 0), the horizontal direction to be x direction and vertical direction to be y direction, the starting point of the maze is (1. 1) and the arriving point is (13, 13).
Create a program to determine if there is a path to reach the arriving point from the starting point.
In the following example, there is the path.
In the following example, the starting point is (1, 1) and the arriving point is (11, 11). Thus, there is no route.
It should be noted that the above example uses 16x16 instead of 100x100 because of the space limitation.
[Input]
The first line of the input file provides the test case number. The test cases are followed in next lines.
Total of 10 test cases are given.
In each test case, 1 refers to the wall, 0 refers to the road, 2 refers to the starting point and 3 refers to the arriving point.
[Output]
The output file outputs the test case number following the ‘#’ symbol. It is followed by a space, 0 or 1 to indicate whether the arriving point can be reached (1 - yes, 0 – no).
[Input Example]
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1 111111111111111111111111111111111111111111111111111111111111111111111111111111... 121000000010000000000000000000000000000000100010001000000000000010000010000000... 101011111011101110111111111111111111111110101011101011111110111010111010101110... 100010001010001000100000000010000000000010001010001000101000101010001010101000... 111110101010111111101111111011101110111111111010111110101011101010101110101111... 100000101010001000001000001000101010000010000010100010101000100010100000100010... ... 2 111111111111111111111111111111111111111111111111111111111111111111111111111111... 121000000010000000100010000000000010000010001000100000101000000000000010000000... 101110111011111010101010111111111011101010101010101110101011111011111010111110... 100010101000000010001010001000001000001010100010001010100000001000100010001000... 111010101111111111111010101011101111111010111111111010111011111110111111101011... 101000100000100000001010100010100000100010100000100010001010000000100000001010... 101111101110101011111010111110111110101110101110101011101010111110101111111010... ... |
[Output Example]
|
#1 1 #2 1 ... |
PS：maze2_test_input.txt
1 1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111 1210000000100000000000000000000000000000001000100010000000000000100000100000001000000010001000000011 1010111110111011101111111111111111111111101010111010111111101110101110101011101111101010101011111011 1000100010100010001000000000100000000000100010100010001010001010100010101010000010001000100010001011 1111101010101111111011111110111011101111111110101111101010111010101011101011111010111111111110111011 1000001010100010000010000010001010100000100000101000101010001000101000001000100010000000000010000011 1011111010111010111110111011101010111110101111101010101011101011101111111110101110111111111010111111 1010001010001010001000100000101010000010100000101010100010001000101000100010101000000000001010100011 1010101111101011101110111111101010111010111110101010111010111110111010101010101111111011111010111011 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一、递归方式解决，代码如下
#include<stdio.h> int search(int startI,int startJ,int endI,int endJ); char maze[100][101]; int success=0; void main() { int L; //freopen("maze2_test.txt","r",stdin); for(L=0;L<10;L++) { int i,j; int T=0; int result; int startI=0,startJ=0; int endI=0,endJ=0; scanf("%d",&T); for(i=0;i<100;i++) scanf("%s",maze[i]); for(i=0;i<100;i++) for(j=0;j<100;j++) { if(maze[i][j]=='2') { startI=i; startJ=j; } if(maze[i][j]=='3') { endI=i; endJ=j; } } success=0; result=search(startI,startJ,endI,endJ); printf("#%d %d ",T,result); /*for(i=0;i<16;i++) { printf("%s",maze[i]); printf(" "); }*/ } } int search(int startI,int startJ,int endI,int endJ) { if(maze[startI][startJ]=='3') success=1; maze[startI][startJ]='1'; if(success==0&&maze[startI+1][startJ]!='1'&&maze[startI+1][startJ]!='2') search(startI+1,startJ,endI,endJ); if(success==0&&maze[startI][startJ+1]!='1'&&maze[startI+1][startJ]!='2') search(startI,startJ+1,endI,endJ); if(success==0&&maze[startI-1][startJ]!='1'&&maze[startI+1][startJ]!='2') search(startI-1,startJ,endI,endJ); if(success==0&&maze[startI][startJ-1]!='1'&&maze[startI+1][startJ]!='2') search(startI,startJ-1,endI,endJ); if(success==0) maze[startI][startJ]='0'; return success; }
二、利用队列来解决，代码如下
#include<stdio.h> typedef struct node { int x; int y; }Node; void push(Node shu[10000],Node n); Node pop(Node shu[10000]); int empty(Node shu[10000]); int front=-1; int rear=-1; void main() { int L,T; freopen("maze2_test_input.txt","r",stdin); //freopen("test.txt","r",stdin); for(L=0;L<10;L++) { int i,j; int result=0; front=-1; rear=-1; Node shu[10000]; Node n; char maze[100][101]; scanf("%d",&T); for(i=0;i<100;i++) scanf("%s",maze[i]); for(i=0;i<100;i++) { for(j=0;j<100;j++) if(maze[i][j]=='2') { n.x=i; n.y=j; push(shu,n); } } while(1) { if(!empty(shu)) { n=pop(shu); Node n1,n2,n3,n4; if(maze[n.x][n.y]=='3') { result=1; break; } maze[n.x][n.y]='1'; if(maze[n.x+1][n.y]!='1'&&maze[n.x+1][n.y]!='2') { n1.x=n.x+1; n1.y=n.y; push(shu,n1); //printf("(%d,%d) ",n1.x,n1.y); } if(maze[n.x-1][n.y]!='1'&&maze[n.x-1][n.y]!='2') { n2.x=n.x-1; n2.y=n.y; push(shu,n2); //printf("(%d,%d) ",n2.x,n2.y); } if(maze[n.x][n.y+1]!='1'&&maze[n.x][n.y+1]!='2') { n3.x=n.x; n3.y=n.y+1; push(shu,n3); //printf("(%d,%d) ",n3.x,n3.y); } if(maze[n.x][n.y-1]!='1'&&maze[n.x][n.y-1]!='2') { n4.x=n.x; n4.y=n.y-1; push(shu,n4); // printf("(%d,%d) ",n4.x,n4.y); } } else { result=0; break; } } printf("#%d %d ",T,result); //printf("%d,%d ",n.x,n.y); } } void push(Node shu[10000],Node n) { rear++; shu[rear].x=n.x; shu[rear].y=n.y; } Node pop(Node shu[10000]) { Node n; if(!empty(shu)) { front++; n.x=shu[front].x; n.y=shu[front].y; } return n; } int empty(Node shu[10000]) { if(front==rear) return 1; return 0; }