{"id":10412,"date":"2011-02-12T11:47:30","date_gmt":"2011-02-12T03:47:30","guid":{"rendered":"http:\/\/ukyoi.wordpress.com\/?p=10412"},"modified":"2011-02-12T11:47:30","modified_gmt":"2011-02-12T03:47:30","slug":"dfs%e8%a7%a3%e8%bf%b7%e5%ae%ab%e7%9a%84%e4%b8%80%e4%ba%9b%e6%83%b3%e6%b3%95","status":"publish","type":"post","link":"https:\/\/ukyoi.info\/wordpress\/?p=10412","title":{"rendered":"DFS\u89e3\u8ff7\u5bab\u7684\u4e00\u4e9b\u60f3\u6cd5"},"content":{"rendered":"

\u5199\u5728\u524d\u9762\uff1a\u79c1\u4e0d\u662f\u7a0b\u5e8f\u5458\uff0c\u4e5f\u4e0d\u662f\u5b66\u4fe1\u79d1\u7684\uff0c\u4e5f\u53ea\u662f\u6700\u8fd1\u5f00\u59cb\u6ca1\u4e8b\u7684\u65f6\u5019\u7ffb\u7ffbC\u8bed\u8a00\u7684\u4e66\u3002\u56e0\u6b64\u9601\u4e0b\u5f88\u53ef\u80fd\u4f1a\u89c9\u5f97\u4e0b\u6587\u6240\u8ff0\u7684\u60f3\u6cd5\u5f88\u539f\u59cb\u6216\u662f\u9601\u4e0b\u65e9\u5df2\u7528\u8fc7\u4e86\u3002\u79c1\u5728\u6b64\u53ea\u662f\u8bb0\u5f55\u4e00\u4e0b\u81ea\u5df1\u7684\u60f3\u6cd5\u3002<\/p>\n

\u73b0\u9636\u6bb5\u79c1\u5b66C\u8bed\u8a00\u7528\u7684\u4e66\u662f\u5b8b\u52b2\u6749\u7684\u300aLinux C\u7f16\u7a0b\u4e00\u7ad9\u5f0f\u5b66\u4e60\u300b\uff0c\u91cc\u9762\u8bb2\u6df1\u5ea6\u4f18\u5148\u641c\u7d22\u7684\u65f6\u5019\u8bb2\u7684\u662f\u4e2a\u8d70\u8ff7\u5bab\u95ee\u9898\uff0c\u75281\u8868\u793a\u5899\uff0c0\u8868\u793a\u8def\uff0c\u4ece\u5de6\u4e0a\u8d70\u5230\u53f3\u4e0b\u3002\u4ee3\u7801\u5982\u4e0b\uff1a <\/span><\/p>\n

\n
#include <\/span><stdio.h><\/span>\n#define MAX_ROW 5<\/span>\n#define MAX_COL 5<\/span>\n\nstruct<\/strong> point { int<\/span> row, col; } stack[512<\/span>];\nint<\/span> top = 0<\/span>;\n\nvoid<\/span> push(struct<\/strong> point p)\n{\n    stack[top++] = p;\n}\n\nstruct<\/strong> point pop(void<\/span>)\n{\n    return<\/strong> stack[--top];\n}\n\nint<\/span> is_empty(void<\/span>)\n{\n    return<\/strong> top == 0<\/span>;\n}\n\nint<\/span> maze[MAX_ROW][MAX_COL] = {\n    0<\/span>, 1<\/span>, 0<\/span>, 0<\/span>, 0<\/span>,\n    0<\/span>, 1<\/span>, 0<\/span>, 1<\/span>, 0<\/span>,\n    0<\/span>, 0<\/span>, 0<\/span>, 0<\/span>, 0<\/span>,\n    0<\/span>, 1<\/span>, 1<\/span>, 1<\/span>, 0<\/span>,\n    0<\/span>, 0<\/span>, 0<\/span>, 1<\/span>, 0<\/span>,\n};\n\nvoid<\/span> print_maze(void<\/span>)\n{\n    int<\/span> i, j;\n    for<\/strong> (i = 0<\/span>; i < MAX_ROW; i++) {\n        for<\/strong> (j = 0<\/span>; j < MAX_COL; j++)\n            printf(\"%d \"<\/span>, maze[i][j]);\n        putchar('n'<\/span>);\n    }\n    printf(\"*********<\/span>n<\/span>\"<\/span>);\n}\n\nstruct<\/strong> point predecessor[MAX_ROW][MAX_COL] = {\n    {{-1<\/span>,-1<\/span>}, {-1<\/span>,-1<\/span>}, {-1<\/span>,-1<\/span>}, {-1<\/span>,-1<\/span>}, {-1<\/span>,-1<\/span>}},\n    {{-1<\/span>,-1<\/span>}, {-1<\/span>,-1<\/span>}, {-1<\/span>,-1<\/span>}, {-1<\/span>,-1<\/span>}, {-1<\/span>,-1<\/span>}},\n    {{-1<\/span>,-1<\/span>}, {-1<\/span>,-1<\/span>}, {-1<\/span>,-1<\/span>}, {-1<\/span>,-1<\/span>}, {-1<\/span>,-1<\/span>}},\n    {{-1<\/span>,-1<\/span>}, {-1<\/span>,-1<\/span>}, {-1<\/span>,-1<\/span>}, {-1<\/span>,-1<\/span>}, {-1<\/span>,-1<\/span>}},\n    {{-1<\/span>,-1<\/span>}, {-1<\/span>,-1<\/span>}, {-1<\/span>,-1<\/span>}, {-1<\/span>,-1<\/span>}, {-1<\/span>,-1<\/span>}},\n};\n\nvoid<\/span> visit(int<\/span> row, int<\/span> col, struct<\/strong> point pre)\n{\n    struct<\/strong> point visit_point = { row, col };\n    maze[row][col] = 2<\/span>;\n    predecessor[row][col] = pre;\n    push(visit_point);\n}\n\nint<\/span> main(void<\/span>)\n{\n    struct<\/strong> point p = { 0<\/span>, 0<\/span> };\n\n    maze[p.row][p.col] = 2<\/span>;\n    push(p);\n\n    while<\/strong> (!is_empty()) {\n        p = pop();\n        if<\/strong> (p.row == MAX_ROW - 1<\/span>  \/* goal *\/<\/span><\/em>\n            && p.col == MAX_COL - 1<\/span>)\n            break<\/strong>;\n        if<\/strong> (p.col+1<\/span> < MAX_COL     \/* right *\/<\/span><\/em>\n            && maze[p.row][p.col+1<\/span>] == 0<\/span>)\n            visit(p.row, p.col+1<\/span>, p);\n        if<\/strong> (p.row+1<\/span> < MAX_ROW     \/* down *\/<\/span><\/em>\n            && maze[p.row+1<\/span>][p.col] == 0<\/span>)\n            visit(p.row+1<\/span>, p.col, p);\n        if<\/strong> (p.col-1<\/span> >= 0<\/span>          \/* left *\/<\/span><\/em>\n            && maze[p.row][p.col-1<\/span>] == 0<\/span>)\n            visit(p.row, p.col-1<\/span>, p);\n        if<\/strong> (p.row-1<\/span> >= 0<\/span>          \/* up *\/<\/span><\/em>\n            && maze[p.row-1<\/span>][p.col] == 0<\/span>)\n            visit(p.row-1<\/span>, p.col, p);\n        print_maze();\n    }\n    if<\/strong> (p.row == MAX_ROW - 1<\/span> && p.col == MAX_COL - 1<\/span>) {\n        printf(\"(%d, %d)<\/span>n<\/span>\"<\/span>, p.row, p.col);\n        while<\/strong> (predecessor[p.row][p.col].row != -1<\/span>) {\n            p = predecessor[p.row][p.col];\n            printf(\"(%d, %d)<\/span>n<\/span>\"<\/span>, p.row, p.col);\n        }\n    } else<\/strong>\n        printf(\"No path!<\/span>n<\/span>\"<\/span>);\n\n    return<\/strong> 0<\/span>;\n}<\/pre>\n<\/blockquote>\n
\u5927\u6982\u610f\u601d\u5c31\u662f\u6bcf\u6b21\u5f39\u51fa\u4e00\u4e2a\u6808\uff0c\u627e\u5230\u5468\u56f4\u6240\u6709\u7684\u5408\u6cd5\u6b65\u9aa4\u7136\u540e\u628a\u5b83\u4eec\u6808\u538b\u8fdb\u6808\u533a\uff0c\u4e0b\u4e00\u8f6e\u65f6\u518d\u5f39\u51fa\u6700\u540e\u538b\u5165\u7684\u6808\uff0c\u5982\u679c\u8d70\u5165\u6b7b\u8def\u5c31\u518d\u6b21\u5f39\u6808\uff0c\u627e\u53e6\u5916\u4e00\u6761\u53ef\u80fd\u8def\u7ebf\uff0c\u76f4\u5230\u627e\u5230\u8ff7\u5bab\u7684\u89e3\u3002\u5982\u679c\u6808\u7a7a\u4e86\u5c31\u8bf4\u660e\u65e0\u8def\u53ef\u8d70\uff0c\u6253\u51fa\u201cNo path !\u201d\u3002
\n\u4f46\u662f\u627e\u5230\u89e3\u4e4b\u540e\u5c31\u6bd4\u8f83\u9ebb\u70e6\u3002\u5982\u4f55\u8f93\u51fa\u8def\u5f84\u5462\uff1f\u8fd9\u6bb5\u4ee3\u7801\u4f7f\u7528\u7684\u65b9\u6cd5\u662f\u5efa\u7acb\u4e00\u4e2apredecessor\u6570\u7ec4\uff0c\u7528\u6765\u8868\u793a\u6bcf\u4e2a\u70b9\u7684\u524d\u8d8b\uff0c\u7136\u540e\u4ece\u6700\u540e\u4e00\u4e2a\u70b9\u987a\u85e4\u6478\u74dc\u5f80\u524d\u627e\uff0c\u9010\u6e10\u6253\u5370\u51fa\u6765\u3002\u4f46\u8fd9\u4e2apredecessor\u6570\u7ec4\u5360\u7528\u7684\u7a7a\u95f4\u5f88\u5927\uff0c\u4e14\u53ea\u80fd\u4ece\u540e\u5411\u524d\u627e\uff0c\u4e0d\u4fbf\u4e8e\u627e\u5230\u5176\u4e2d\u7684\u67d0\u4e2a\u7279\u5b9a\u6b65\u9aa4\u3002\u600e\u4e48\u89e3\u51b3\u8fd9\u4e00\u95ee\u9898\u5462\uff1f\u4f5c\u8005\u5b8b\u52b2\u6749\u51fa\u4e86\u4e00\u9053\u601d\u8003\u9898\uff0c\u8fd8\u95ee\u8bfb\u8005\u80fd\u591f\u60f3\u51fa\u51e0\u79cd\u65b9\u6cd5\uff0c\u53ef\u89c1\u65b9\u6cd5\u662f\u4e0d\u6b62\u4e00\u79cd\u7684\u3002<\/p>\n
\u5728\u6b63\u786e\u7406\u89e3\u8fd9\u6bb5\u4ee3\u7801\u4e4b\u524d\uff0c\u79c1\u4e00\u76f4\u8ba4\u4e3a\u6808\u533a\u4e2d\u81f3\u5c11\u5e94\u8be5\u5b58\u6709\u6b63\u786e\u8def\u5f84\u8d70\u8fc7\u7684\u6240\u6709\u7684\u70b9\uff0c\u540e\u6765\u624d\u660e\u767d\u8fd9\u4e2a\u60f3\u6cd5\u662f\u6709\u95ee\u9898\u7684\u3002\u7531\u4e8e\u6bcf\u4e2a\u5faa\u73af\u5f00\u59cb\u65f6\u6808\u9876\u5df2\u7ecf\u5f39\u51fa\u4e86\uff0c\u6b64\u65f6\u5982\u679c\u518d\u5728\u8fd9\u4e00\u70b9\u7ee7\u7eed\u5411\u6df1\u5904\u627e\uff0c\u65b0\u538b\u5165\u7684\u6808\u5c31\u4f1a\u628a\u521a\u624d\u5f39\u51fa\u7684\u6808\u9876\u8986\u76d6\u6389\uff0c\u8fd9\u6837\u627e\u5230\u6700\u540e\u6574\u4e2a\u6808\u4e2d\u5728\u6781\u7aef\u60c5\u51b5\u4e0b\uff08\u4f8b\u5982\u6574\u4e2a\u8ff7\u5bab\u90fd\u6ca1\u6709\u5c94\u8def\uff09\u53ef\u80fd\u4e00\u4e2a\u70b9\u4e5f\u4e0d\u5269\u3002\u6b64\u5916\u4e00\u4e2a\u5faa\u73af\u5185\u662f4\u4e2a\u65b9\u5411\u5747\u4f1a\u641c\u7d22\uff0c\u6240\u4ee5\u5982\u679c\u6709\u5c94\u8def\uff0c\u5c31\u4f1a\u538b\u5165\u591a\u4e2a\u70b9\uff0c\u4f46\u5f39\u51fa\u65f6\u53ea\u4f1a\u5f39\u51fa\u4e00\u4e2a\u70b9\uff0c\u6240\u4ee5\u6808\u4e2d\u4f1a\u6b8b\u7559\u9519\u8bef\u9053\u8def\u7684\u70b9\u3002<\/p>\n
\u600e\u4e48\u4fee\u6539\u5462\uff1f\u5176\u5b9e\u5f88\u5bb9\u6613\u3002\u539f\u6765\u6bcf\u4e2a\u5faa\u73af\u4f1a\u4ece\u6808\u9876\u5f39\u51fa\u4e00\u4e2a\u6808\uff0c\u5176\u5b9e\u627e\u5230\u8def\u5f84\u4e4b\u540e\uff0c\u5b8c\u5168\u53ef\u4ee5\u628a\u8fd9\u4e00\u6808\u518d\u538b\u56de\u53bb\uff0c\u6bd4\u5982\u8fd9\u6837\uff1a<\/p>\n
\n
int<\/span> main(<\/span>void<\/span>)\n{\n    <\/span>struct<\/strong> point p = { <\/span>0<\/span>, <\/span>0<\/span> };\n\n    maze[p.row][p.col] = <\/span>2<\/span>;\n    push(p);\n\n    <\/span>while<\/strong> (!is_empty()) {\n        p = pop();\n        <\/span>if<\/strong> (p.row == MAX_ROW - <\/span>1<\/span>  <\/span>\/* goal *\/<\/span><\/em>\n            && p.col == MAX_COL - <\/span>1<\/span>)\n            <\/span>break<\/strong>;\n        <\/span>if<\/strong> (p.col+<\/span>1<\/span> < MAX_COL     <\/span>\/* right *\/<\/span><\/em>\n            && maze[p.row][p.col+<\/span>1<\/span>] == <\/span>0<\/span>) {\n            top++;\n            visit(p.row, p.col+<\/span>1<\/span>, p);\n        } <\/span>else<\/strong> <\/span>if<\/strong> (p.row+<\/span>1<\/span> < MAX_ROW     <\/span>\/* down *\/<\/span><\/em>\n            && maze[p.row+<\/span>1<\/span>][p.col] == <\/span>0<\/span>) {\n            top++;\n            visit(p.row+<\/span>1<\/span>, p.col, p);\n        } <\/span>else<\/strong> <\/span>if<\/strong> (p.col-<\/span>1<\/span> >= <\/span>0<\/span>          <\/span>\/* left *\/<\/span><\/em>\n            && maze[p.row][p.col-<\/span>1<\/span>] == <\/span>0<\/span>) {\n            top++;\n            visit(p.row, p.col-<\/span>1<\/span>, p);\n        } <\/span>else<\/strong> <\/span>if<\/strong> (p.row-<\/span>1<\/span> >= <\/span>0<\/span>          <\/span>\/* up *\/<\/span><\/em>\n            && maze[p.row-<\/span>1<\/span>][p.col] == <\/span>0<\/span>) {\n            top++;\n            visit(p.row-<\/span>1<\/span>, p.col, p);\n        }\n        print_maze();\n    }\n\n    <\/span>int<\/span> i;\n    <\/span>if<\/strong> (!is_empty()) {\n        <\/span>for<\/strong> (i=<\/span>0<\/span>; i<top; i++)\n            printf(<\/span>\"(%d, %d)<\/span>n<\/span>\"<\/span>, stack[i]);\n    } <\/span>else<\/strong>\n        printf(<\/span>\"No path.<\/span>n<\/span>\"<\/span>);\n\n    <\/span>return<\/strong> <\/span>0<\/span>;\n}<\/span><\/pre>\n<\/blockquote>\n
\u5982\u679c\u627e\u5230\u4e86\u53ef\u7528\u7684\u8def\uff0c\u7531\u4e8e\u6709\u4e86top++\uff0c\u76f8\u5f53\u4e8e\u4ec5\u4ec5\u662f\u8bfb\u53d6\u5230\u6808\u9876\u7684\u6570\u636e\uff08\u800c\u6808\u6ca1\u6709\u5f39\u51fa\uff09\uff0c\u8fd9\u6837\u5728\u641c\u7d22\u8def\u5f84\u538b\u6808\u7684\u65f6\u5019\u5c31\u4e0d\u4f1a\u628a\u539f\u6765\u7684\u6808\u9876\u8986\u76d6\u6389\uff0c\u4ece\u800c\u4fdd\u8bc1\u4e86\u6808\u4e2d\u5b58\u5728\u6240\u6709\u6b63\u786e\u8def\u5f84\u4e0a\u7684\u70b9\u3002\u89e3\u51b3\u6b8b\u7559\u9519\u8bef\u9053\u8def\u7684\u70b9\u7684\u95ee\u9898\u4e5f\u5f88\u5bb9\u6613\uff0c\u53ea\u9700\u8ba9\u4e00\u4e2a\u5faa\u73af\u5185\u5982\u679c\u641c\u7d22\u5230\u4e86\u4e00\u6761\u53ef\u4ee5\u6df1\u5165\u7684\u8def\u5f84\u5c31\u505c\u6b62\uff08\u7528else\u5b9e\u73b0\uff09\uff0c\u5426\u5219\u518d\u641c\u7d22\u4e0b\u4e00\u6761\u8def\u5f84\u3002\u5982\u679c\u627e\u5230\u6b7b\u8def\u6808\u4f1a\u9010\u4e2a\u5f39\u51fa\uff0c\u76f4\u5230\u5c94\u8def\u53e3\uff0c\u6240\u4ee5\u4e0d\u7528\u62c5\u5fc3\u627e\u4e0d\u5230\u6b63\u89e3\u3002\u5230\u6700\u540e\u5982\u679c\u8ff7\u5bab\u5b58\u5728\u89e3\u7684\u8bdd\uff0c\u6808\u4e2d\u6240\u4fdd\u5b58\u7684\u5c31\u662f\u6b63\u786e\u7684\u8def\u5f84\u3002\u7531\u4e8e\u4f8b\u5b50\u4e2d\u7684\u201c\u6808\u201d\u662f\u4e00\u4e2a\u6570\u7ec4\uff08\u5f53\u7136\u60a8\u53ef\u80fd\u4f1a\u53cd\u9a73\u8bf4\u8fd9\u4e2a\u4f8b\u5b50\u4e2dstack[]\u5e76\u4e0d\u662f\u771f\u6b63\u610f\u4e49\u4e0a\u7684\u6808\uff0c\u201c\u6808\u201d\u5728\u7406\u8bba\u4e0a\u5e94\u8be5\u53ea\u80fd\u8bbf\u95ee\u9876\u7aef\u7684\u5143\u7d20\uff0c\u4f46\u90a3\u53ea\u662f\u4e2a\u5f62\u5f0f\u95ee\u9898\uff09\uff0c\u4e8e\u662f\u53ef\u4ee5\u5f88\u5bb9\u6613\u5730\u8bbf\u95ee\u4efb\u4f55\u4e00\u6b65\u7684\u70b9\uff0c\u8f93\u51fa\u7684\u65f6\u5019\u6b63\u7740\u6253\u53cd\u7740\u6253\u8df3\u7740\u6253\u5747\u53ef\uff0c\u7a0b\u5e8f\u4e2d\u6240\u6709\u548cpredecessor\u6709\u5173\u7684\u5185\u5bb9\u4fbf\u53ef\u4ee5\u5220\u53bb\u4e86\u3002<\/p>\n
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