题目的意思是在图中寻找可以构成的回路数,及最大回路经过的格子数。
题目不是简单的横竖的格子,而是斜的,这样就不太容易了。后来上网看别人的思路,把图放大三倍,就豁然开朗了。
解题报告链接:http://blog.csdn.net/sio__five/article/details/18910097
代码我修改了一下,留着自己以后慢慢学习。
1 #include<iostream> 2 #include<cstdio> 3 #include<cstring> 4 using namespace std; 5 6 int length, width, grid, Max; 7 int g[300][300], isVis[300][300]; 8 int Move[4][2] = {{0, -1},{0, 1} , {-1, 0} ,{1, 0}}; 9 10 bool IsIn(int x, int y); 11 void NoEffectFill(int x, int y); 12 void SetBound(); 13 void Dfs(int x, int y); 14 15 int main () 16 { 17 // freopen("D:\acm.txt","r",stdin); 18 int No = 1,cycleNum; 19 while(cin>>length>>width,(length||width)){ 20 width = width * 3, length = length * 3;//将图放大三倍 21 memset(g,0,sizeof(g)); 22 memset(isVis, 0,sizeof(isVis)); 23 Max = 0; 24 cycleNum = 0; 25 for (int i = 1; i < width; i += 3){ 26 for (int j = 1; j < length; j += 3){ 27 char ch; 28 cin>>ch; 29 if (ch == '\') 30 g[i - 1][j - 1] = g[i][j] = g[i + 1][j + 1] = 1; 31 else 32 g[i - 1][j + 1] = g[i][j] = g[i + 1][j - 1] = 1; 33 } 34 } 35 SetBound(); 36 for (int i = 0; i < width; i++){ 37 for (int j = 0; j < length; j++){ 38 if (!g[i][j] && !isVis[i][j]){ 39 grid = 0; 40 Dfs(i, j); 41 if (grid >= 12) cycleNum++;//小格子大于12即大格子大于4,构成一个回路 42 if (grid > Max) Max = grid;//记录最大格子数目 43 } 44 } 45 } 46 printf("Maze #%d: ", No++); 47 if(cycleNum != 0) 48 printf("%d Cycles; the longest has length %d. ", cycleNum, Max / 3); 49 else 50 printf("There are no cycles. "); 51 printf(" "); 52 } 53 return 0; 54 } 55 bool IsIn(int x, int y) 56 { 57 return (x >= 0 && x < width && y >= 0 && y < length); 58 } 59 void NoEffectFill(int x, int y) 60 { 61 int nextX, nextY, i; 62 isVis[x][y] = 1, g[x][y] = 2; 63 for (i = 0; i < 4; i++){//将外围的空格填充掉 64 nextX = x + Move[i][0]; 65 nextY = y + Move[i][1]; 66 if (IsIn(nextX, nextY) && !isVis[nextX][nextY] && !g[nextX][nextY]) 67 NoEffectFill(nextX, nextY); 68 } 69 } 70 void SetBound() 71 { 72 for (int i = 0; i < width; i++){ 73 if (!g[i][0] && !isVis[i][0]) 74 NoEffectFill(i, 0);//设置图的外围边界 75 if (!g[i][length - 1] && !isVis[i][length - 1]) 76 NoEffectFill(i, length - 1); 77 } 78 for (int j = 0; j < length; j++){ 79 if (!g[0][j] && !isVis[0][j]) 80 NoEffectFill(0, j);//设置图的外围边界 81 if (!g[width - 1][j] && !isVis[width - 1][j]) 82 NoEffectFill(width - 1, j); 83 } 84 } 85 void Dfs(int x, int y)//递归寻找格子 86 { 87 int nextX, nextY; 88 isVis[x][y] = 1; 89 grid++; 90 for (int i = 0; i < 4; i++){ 91 nextX = x + Move[i][0]; 92 nextY = y + Move[i][1]; 93 if (IsIn(nextX, nextY) && !isVis[nextX][nextY] && !g[nextX][nextY]) 94 Dfs(nextX, nextY); 95 } 96 }