{"id":372,"date":"2024-04-28T22:30:59","date_gmt":"2024-04-28T14:30:59","guid":{"rendered":"https:\/\/seanxd.com\/?p=372"},"modified":"2024-06-21T22:29:11","modified_gmt":"2024-06-21T14:29:11","slug":"zerojudge-c813","status":"publish","type":"post","link":"https:\/\/seanxd.com\/zh\/zerojudge-c813\/","title":{"rendered":"ZeroJudge C813: Summing Digits"},"content":{"rendered":"\n\n\n<h4 class=\"wp-block-heading\">\u540c\u984c\uff1aUVa 11332 &#8211; Summing Digits<\/h4>\n\n\n\n<p>\u5c0d\u65bc\u6240\u6709\u6b63\u6574\u6578 N\uff0c\u6211\u5011\u5b9a\u7fa9\u4e00\u51fd\u6578 f(N) \u70ba N \u7684\u6bcf\u4e00\u500b\u5341\u9032\u4f4d\u6578\u5b57\u7684\u7e3d\u548c\uff0c\u82e5\u518d\u628a f(N) \u4ee3\u5165\u51fd\u6578\u4e2d\u53ef\u5f97\u6700\u5230\u5f88\u591a\u968e\u5c64\u7684\u51fd\u5f0f\uff0c\u6700\u5f8c\u5f97\u5230\u50c5\u6709\u4e00\u4f4d\u6578\u5b57\u7684\u503c\uff0c\u4e26\u5b9a\u7fa9\u8a72\u503c\u70ba g(N)\u3002<\/p>\n\n\n\n<p>\u7576 N = 1234567 \u6642\uff0c<\/p>\n\n\n\n<p>f(N) = 1 + 2 + 3 + 4 + 5 + 6 + 7 = 47<\/p>\n\n\n\n<p>f(f(N) = 4 + 7 = 11<\/p>\n\n\n\n<p>f(f(f(N))) = 1 + 1 = 2<\/p>\n\n\n\n<p>\u6240\u4ee5 g(1234567) \u70ba2\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">\u7bc4\u4f8b\u6e2c\u8cc7<\/h2>\n\n\n\n<figure class=\"wp-block-table nfd-wb-animate nfd-wb-fade-in-bottom-short\"><table class=\"has-fixed-layout\"><thead><tr><th>\u7bc4\u4f8b\u8f38\u5165<\/th><th>\u7bc4\u4f8b\u8f38\u51fa<\/th><\/tr><\/thead><tbody><tr><td>\u8f38\u5165\u7684\u6bcf\u4e00\u884c\u6703\u6709\u4e00\u500b\u6b63\u6574\u6578 N\uff0c\u5176\u503c\u6700\u5927\u5230 2\uff0a10<sup>9<\/sup>\uff0c\u4f60\u5fc5\u9808\u8f38\u51fa g(N)\u3002\u8f38\u5165\u662f\u4ee5 0 \u503c\u505a\u70ba\u7d50\u675f\uff0c\u8a72\u503c\u4e0d\u9700\u8981\u8f38\u51fa\u3002<\/td><td>\u5982\u8f38\u5165\u6240\u8ff0\u3002<\/td><\/tr><tr><td>2<br>11<br>47<br>1234567892<br>0<\/td><td>2<br>2<br>2<br>2<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\">\u89e3\u984c\u601d\u8def<\/h2>\n\n\n\n<p>\u4f7f\u7528\u51fd\u5f0f\u7684\u65b9\u5f0f\u4f86\u8655\u7406\u6bcf\u4e00\u500b\u6e2c\u8cc7\uff0c\u6536\u8cc7\u6599\u7684\u6642\u5019\u53ef\u4ee5\u4f7f\u7528\u5b57\u4e32\u4f86\u6536\u8cc7\u6599\u4e26\u5224\u65b7\u5b57\u4e32\u7684\u9577\u5ea6\uff0c\u9032\u884c\u8a08\u7b97\u6642\u518d\u628a\u5b57\u4e32\u8f49\u63db\u6210\u6574\u6578\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u7bc4\u4f8b\u7a0b\u5f0f\u78bc\uff0d<a href=\"https:\/\/zerojudge.tw\/ShowProblem?problemid=c813\" target=\"_blank\" rel=\"noreferrer noopener\">ZeroJudge C813: Summing Digits<\/a><\/h3>\n\n\n\n<div class=\"hcb_wrap nfd-wb-animate nfd-wb-reveal-right nfd-delay-50\"><pre class=\"prism line-numbers lang-plain\"><code>#include &lt;iostream&gt;\nusing namespace std;\n\nint go (string str)\n{\n    if (str.length() == 1) return int(str[0] - &#39;0&#39;);\n    else\n    {\n        int sum = 0;\n        for (int i = 0; i&lt;str.length(); i++)\n        {\n            sum += int(str[i] - &#39;0&#39;);\n        }\n        string tmp = to_string(sum);\n        if (tmp.length() == 1) return int(tmp[0] - &#39;0&#39;);\n        else return go(tmp);\n    }\n}\n\nint main() {\n    string str;\n    while (cin &gt;&gt; str)\n    {\n        if (str == &quot;0&quot;) break;\n        else\n        {\n            cout &lt;&lt; go(str) &lt;&lt; endl;\n        }\n    }\n}\n\n\/\/ZeroJudge C813\n\/\/Dr. SeanXD<\/code><\/pre><\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u540c\u984c\uff1aUVa 11332 &#8211; Summing Digits \u5c0d\u65bc\u6240\u6709\u6b63\u6574\u6578 N\uff0c\u6211\u5011\u5b9a\u7fa9\u4e00\u51fd\u6578 f [&hellip;]<\/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":[18],"tags":[8,11,9,28],"class_list":["post-372","post","type-post","status-publish","format-standard","hentry","category-uva","tag-8","tag-11","tag-9","tag-28"],"blocksy_meta":[],"_links":{"self":[{"href":"https:\/\/seanxd.com\/zh\/wp-json\/wp\/v2\/posts\/372","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=372"}],"version-history":[{"count":2,"href":"https:\/\/seanxd.com\/zh\/wp-json\/wp\/v2\/posts\/372\/revisions"}],"predecessor-version":[{"id":977,"href":"https:\/\/seanxd.com\/zh\/wp-json\/wp\/v2\/posts\/372\/revisions\/977"}],"wp:attachment":[{"href":"https:\/\/seanxd.com\/zh\/wp-json\/wp\/v2\/media?parent=372"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/seanxd.com\/zh\/wp-json\/wp\/v2\/categories?post=372"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/seanxd.com\/zh\/wp-json\/wp\/v2\/tags?post=372"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}