{"id":379,"date":"2013-03-31T17:46:00","date_gmt":"2013-03-31T09:46:00","guid":{"rendered":"http:\/\/nike0good.jp1.rpvhost.net\/283"},"modified":"2013-03-31T17:46:00","modified_gmt":"2013-03-31T09:46:00","slug":"poj_2484_game_-_symmetrical_game","status":"publish","type":"post","link":"https:\/\/nike0good.com\/?p=379","title":{"rendered":"POJ 2484(\u535a\u5f08-\u5bf9\u79f0\u535a\u5f08)"},"content":{"rendered":"\n\n\n
\n
\nA Funny Game<\/div>\n
\n\n\n\n\n
Time Limit:<\/strong> 1000MS<\/td>\n <\/td>\nMemory Limit:<\/strong> 65536K<\/td>\n<\/tr>\n
Total Submissions:<\/strong> 3345<\/td>\n <\/td>\nAccepted:<\/strong> 1960<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n

Description<\/p>\n

\nAlice and Bob decide to play a funny game. At the beginning of the game they pick n(1 <= n <= 106<\/sup>) coins in a circle, as Figure 1 shows. A move consists in removing one or two adjacent coins, leaving all other coins untouched. At least one coin must
\n be removed. Players alternate moves with Alice starting. The player that removes the last coin wins. (The last player to move wins. If you can't move, you lose.) 
\n
\"\" 
\n<\/center>
\nNote<\/strong>: For n > 3, we use c1, c2, ..., cn to denote the coins clockwise and if Alice remove c2, then c1 and c3 are NOT adjacent! (Because there is an empty place between c1 and c3.) <\/p>\n

Suppose that both Alice and Bob do their best in the game. 
\nYou are to write a program to determine who will finally win the game.<\/div>\n

Input<\/p>\n

\nThere are several test cases. Each test case has only one line, which contains a positive integer n (1 <= n <= 106<\/sup>). There are no blank lines between cases. A line with a single 0 terminates the input. \n<\/div>\n

Output<\/p>\n

\nFor each test case, if Alice win the game,output "Alice", otherwise output "Bob". \n<\/div>\n

Sample Input<\/p>\n

1\n2\n3\n0\n<\/pre>\n
Sample Output<\/p>\n
Alice\nAlice\nBob<\/pre>\n
Source<\/p>\n
\nPOJ Contest<\/a>,Author:Mathematica@ZSU<\/div>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n
<\/p>\n
\u535a\u5f08\u7b2c\u4e00\u62db\u2014\u2014\u5bf9\u79f0\u535a\u5f08\u3002<\/span><\/p>\n
\u601d\u8def\uff1a\u65e0\u8bba\u5bf9\u65b9\u600e\u4e48\u53d6\uff0c\u6211\u90fd\u53d6\u4e0e\u5b83\u5bf9\u79f0\uff08\u6216\u8005\u76f8\u53cd\/\u4e00\u6837\u7684\uff09<\/span><\/p>\n
<\/span><\/p>\n
#include<cstdio>\n#include<cstdlib>\n#include<algorithm>\n#include<functional>\n#include<cstring>\n#include<iostream>\nusing namespace std;\nint main()\n{\n\tint n;\n\twhile(scanf("%d",&n)&&n)\n\t{\n\t\tif (n>=3) cout<<"Bob"<<endl;\n\t\telse cout<<"Alice"<<endl;\n\t}\n\treturn 0;\n}\n<\/pre>\n<\/p>\n
<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"
A Funny Game Time Limit: 1000MS   Memory Limi […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_coblocks_attr":"","_coblocks_dimensions":"","_coblocks_responsive_height":"","_coblocks_accordion_ie_support":"","footnotes":""},"categories":[3],"tags":[62],"class_list":["post-379","post","type-post","status-publish","format-standard","hentry","category-defaultcategory","tag-game_theory"],"yoast_head":"\nPOJ 2484(\u535a\u5f08-\u5bf9\u79f0\u535a\u5f08) - nike0good<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/nike0good.com\/?p=379\" \/>\n<meta property=\"og:locale\" content=\"zh_CN\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"POJ 2484(\u535a\u5f08-\u5bf9\u79f0\u535a\u5f08) - nike0good\" \/>\n<meta property=\"og:description\" content=\"A Funny Game Time Limit: 1000MS   Memory Limi […]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/nike0good.com\/?p=379\" \/>\n<meta property=\"og:site_name\" content=\"nike0good\" \/>\n<meta property=\"article:published_time\" content=\"2013-03-31T09:46:00+00:00\" \/>\n<meta property=\"og:image\" content=\"http:\/\/nike0good.jp1.rpvhost.net\/wp-content\/uploads\/csdn\/other_site\/img_my_1364723383_7349.png\" \/>\n<meta name=\"author\" content=\"nike0good\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"\u4f5c\u8005\" \/>\n\t<meta name=\"twitter:data1\" content=\"nike0good\" \/>\n\t<meta name=\"twitter:label2\" content=\"\u9884\u8ba1\u9605\u8bfb\u65f6\u95f4\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 \u5206\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\\\/\\\/nike0good.com\\\/?p=379#article\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/nike0good.com\\\/?p=379\"},\"author\":{\"name\":\"nike0good\",\"@id\":\"https:\\\/\\\/nike0good.com\\\/#\\\/schema\\\/person\\\/4defa38da89de87e400861e73396baad\"},\"headline\":\"POJ 2484(\u535a\u5f08-\u5bf9\u79f0\u535a\u5f08)\",\"datePublished\":\"2013-03-31T09:46:00+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\\\/\\\/nike0good.com\\\/?p=379\"},\"wordCount\":232,\"commentCount\":0,\"image\":{\"@id\":\"https:\\\/\\\/nike0good.com\\\/?p=379#primaryimage\"},\"thumbnailUrl\":\"http:\\\/\\\/nike0good.jp1.rpvhost.net\\\/wp-content\\\/uploads\\\/csdn\\\/other_site\\\/img_my_1364723383_7349.png\",\"keywords\":[\"\u535a\u5f08\u8bba\"],\"articleSection\":[\"DefaultCategory\"],\"inLanguage\":\"zh-Hans\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\\\/\\\/nike0good.com\\\/?p=379#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/nike0good.com\\\/?p=379\",\"url\":\"https:\\\/\\\/nike0good.com\\\/?p=379\",\"name\":\"POJ 2484(\u535a\u5f08-\u5bf9\u79f0\u535a\u5f08) - 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