{"id":1198,"date":"2024-09-29T09:00:00","date_gmt":"2024-09-29T01:00:00","guid":{"rendered":"https:\/\/seanxd.com\/?p=1198"},"modified":"2024-09-04T02:00:59","modified_gmt":"2024-09-03T18:00:59","slug":"zerojudge-j125","status":"publish","type":"post","link":"https:\/\/seanxd.com\/zh\/zerojudge-j125\/","title":{"rendered":"ZeroJudge J125: \u84cb\u6b65\u9053"},"content":{"rendered":"\n\n\n

\u6709\u4e00\u500b\u5927\u5c0f\u70ba\u00a0N\u00d7N\u00a0\u7684\u65b9\u5f62\u5340\u57df\uff0ch[i][j]\u00a0\u4ee3\u8868\u4f4d\u65bc\u5ea7\u6a19\u00a0(i, j)\u00a0\u7684\u683c\u5b50\u8a72\u8655\u7684\u6d77\u62d4\u9ad8\u5ea6\u3002<\/p>\n\n\n\n

\u5de5\u7a0b\u5718\u968a\u60f3\u8981\u5f9e\u8a72\u5340\u57df\u7684\u5de6\u4e0a\u89d2\u00a0(1, 1)\u00a0\u92ea\u8a2d\u4e00\u689d\u6b65\u9053\u5230\u53f3\u4e0b\u89d2\u00a0(N, N)\uff0c\u92ea\u8a2d\u7684\u6b65\u9053\u53ef\u4ee5\u8996\u70ba\u5728\u8a72\u5340\u57df\u5167\u4e0a\u4e0b\u5de6\u53f3\u56db\u500b\u65b9\u5411\u5f9e\u5de6\u4e0a\u89d2\u8d70\u5230\u53f3\u4e0b\u89d2\u7684\u4e00\u689d\u8def\u5f91\u3002<\/p>\n\n\n\n

\u8003\u91cf\u5230\u884c\u4eba\u5728\u6b65\u9053\u4e0a\u884c\u8d70\u7684\u5b89\u5168\uff0c\u5fc5\u9808\u8981\u6ce8\u610f\u6b65\u9053\u6bcf\u4e00\u6b65\u4e4b\u9593\u7684\u9ad8\u4f4e\u843d\u5dee\uff0c\u4e26\u5e0c\u671b\u53ef\u4ee5\u5efa\u7acb\u51fa\u4e00\u500b\u6700\u5927\u9ad8\u5ea6\u5dee\u6700\u5c0f\u7684\u6b65\u9053\u92ea\u8a2d\u65b9\u6848\u3002<\/p>\n\n\n\n

\u8acb\u8f38\u51fa\u8a72\u92ea\u8a2d\u65b9\u6848\u6700\u5927\u9ad8\u5ea6\u5dee\u7684\u6700\u5c0f\u503c\u548c\u5728\u8a72\u6700\u5927\u9ad8\u5ea6\u5dee\u7684\u524d\u63d0\u4e0b\u6b65\u9053\u7684\u6700\u77ed\u8def\u5f91\u9577\u5ea6\u3002<\/p>\n\n\n\n

\u7bc4\u4f8b\u6e2c\u8cc7<\/h2>\n\n\n\n
\u7bc4\u4f8b\u8f38\u5165<\/th>\u7bc4\u4f8b\u8f38\u51fa<\/th><\/tr><\/thead>
\u7b2c\u4e00\u884c\u70ba\u4e00\u500b\u6578\u5b57\u00a0N (1 \u2264 N \u2264 300)\uff0c\u4ee3\u8868\u8a72\u5340\u57df\u7684\u5927\u5c0f\u3002\u63a5\u4e0b\u4f86\u6709\u00a0N \u884c\uff0c\u7b2c\u00a0i \u884c\u6709\u00a0N \u500b\u6b63\u6574\u6578\uff0c\u6bcf\u4e00\u500b\u6b63\u6574\u6578\u00a0h[i][j] (1 \u2264 h[i][j] \u2264 106<\/sup>) \u4ee3\u8868\u8a72\u4f4d\u7f6e\u7684\u6d77\u62d4\u9ad8\u5ea6\u3002<\/td>\u8f38\u51fa\u5169\u884c\uff0c\u7b2c\u4e00\u884c\u8f38\u51fa\u92ea\u8a2d\u65b9\u6848\u4e2d\u6700\u5927\u9ad8\u5ea6\u5dee\u7684\u6700\u5c0f\u503c\uff0c\u7b2c\u4e8c\u884c\u8f38\u51fa\u5728\u8a72\u6700\u5927\u9ad8\u5ea6\u5dee\u4e0b\u5f9e\u5de6\u4e0a\u8d70\u5230\u53f3\u4e0b\u7684\u6700\u77ed\u8def\u5f91\u9577\u5ea6\u3002<\/td><\/tr>
4
9 4 3 2
5 9 8 10
3 3 2 8
6 3 3 4<\/td>		4
6<\/td><\/tr><\/tbody><\/table>
ZeroJudge J125 \u7bc4\u4f8b\u6e2c\u8cc7<\/figcaption><\/figure>\n\n\n\n

\u89e3\u984c\u601d\u8def<\/h2>\n\n\n\n

\u4f7f\u7528 BFS \u4f86\u8dd1\u5730\u5716\uff0c\u5148\u5ba3\u544a\u4e00\u500b\u4e8c\u7dad\u9663\u5217\u88e1\u9762\u90fd\u662f\u9810\u8a2d 99999\uff0c\u9663\u5217\u7684[N-1][N-1] \u5728\u8dd1\u5b8c BFS \u4e4b\u5f8c\u5c31\u6703\u662f\u7b54\u6848\u3002<\/p>\n\n\n\n

\u5728\u8dd1 BFS \u6642\uff0c\u5982\u679c\u5224\u65b7\u5230\u4e00\u500b\u9ede\u53ef\u4ee5\u7e7c\u7e8c\u8d70\uff0c\u5247\u5148\u5224\u65b7\u8a72\u4f4d\u7f6e\u7684\u9663\u5217\u503c\u662f\u5426\u6bd4\u73fe\u5728\u7684\u9ad8\u5ea6\u5dee\u9084\u8981\u9ad8\uff0c\u5982\u679c\u662f\u7684\u8a71\u5c31\u5c07\u8dd1\u5230\u7684\u4f4d\u7f6e\u5b58\u5230\u4e0b\u4e00\u6b21\u7684\u8d77\u9ede\u3002<\/p>\n\n\n\n

\u7bc4\u4f8b\u7a0b\u5f0f\u78bc\uff0dZeroJudge J125: \u84cb\u6b65\u9053<\/a><\/h3>\n\n\n\n
#include <iostream>\n#include <vector>\nusing namespace std;\n\nint N, road[500][500] = {}, loc[4][2] = {{0, 1}, {0, -1}, {1, 0}, {-1, 0}}, height[500][500] = {}, step = 0;\n\nvoid BFS(const vector<pair<int, int>>start, const int count) {\n    if (start.size() == 0) return;\n    vector<pair<int, int>>newStart;\n    for (int i = 0; i<start.size(); i++) {\n        const int y = start[i].first, x = start[i].second;\n        if (y == N-1 && x == N-1) step = count;\n        for (int j = 0; j<4; j++) {\n            const int yy = y + loc[j][0], xx = x + loc[j][1];\n            if (yy >= 0 && yy < N && xx >= 0 && xx < N) {\n                const int calc = abs(road[y][x] - road[yy][xx]);\n                if (max(height[y][x], calc) < height[yy][xx]) {\n                    height[yy][xx] = max(height[y][x], calc);\n                    newStart.push_back(make_pair(yy, xx));\n                }\n            }\n        }\n    }\n    BFS(newStart, count+1);\n}\n\nint main() {\n    cin.sync_with_stdio(0);\n    cin.tie(0);\n    cin >> N;\n    for (int i = 0; i<N; i++) {\n        for (int j = 0; j<N; j++) {\n            cin >> road[i][j];\n            height[i][j] = 99999999;\n        }\n    }\n    height[0][0] = 0;\n    vector<pair<int, int>>start;\n    start.push_back(make_pair(0, 0));\n    BFS(start, 0);\n    cout << height[N-1][N-1] << "\\n" << step << "\\n";\n}\n\n\/\/ZeroJudge J125\n\/\/Dr. SeanXD<\/code><\/pre><\/div>\n","protected":false},"excerpt":{"rendered":"
\u6709\u4e00\u500b\u5927\u5c0f\u70ba\u00a0N\u00d7N\u00a0\u7684\u65b9\u5f62\u5340\u57df\uff0ch[i][j]\u00a0\u4ee3\u8868\u4f4d\u65bc\u5ea7\u6a19\u00a0(i, j)\u00a0\u7684\u683c\u5b50\u8a72\u8655\u7684\u6d77\u62d4\u9ad8\u5ea6\u3002 \u5de5\u7a0b\u5718\u968a […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"nf_dc_page":"","footnotes":""},"categories":[25],"tags":[30,22,8,9],"class_list":["post-1198","post","type-post","status-publish","format-standard","hentry","category-ioi-apcs","tag-bfs","tag-22","tag-8","tag-9"],"blocksy_meta":[],"_links":{"self":[{"href":"https:\/\/seanxd.com\/zh\/wp-json\/wp\/v2\/posts\/1198","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/seanxd.com\/zh\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/seanxd.com\/zh\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/seanxd.com\/zh\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/seanxd.com\/zh\/wp-json\/wp\/v2\/comments?post=1198"}],"version-history":[{"count":2,"href":"https:\/\/seanxd.com\/zh\/wp-json\/wp\/v2\/posts\/1198\/revisions"}],"predecessor-version":[{"id":1200,"href":"https:\/\/seanxd.com\/zh\/wp-json\/wp\/v2\/posts\/1198\/revisions\/1200"}],"wp:attachment":[{"href":"https:\/\/seanxd.com\/zh\/wp-json\/wp\/v2\/media?parent=1198"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/seanxd.com\/zh\/wp-json\/wp\/v2\/categories?post=1198"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/seanxd.com\/zh\/wp-json\/wp\/v2\/tags?post=1198"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}