{"id":368,"date":"2013-03-25T16:56:00","date_gmt":"2013-03-25T08:56:00","guid":{"rendered":"http:\/\/nike0good.jp1.rpvhost.net\/272"},"modified":"2013-03-25T16:56:00","modified_gmt":"2013-03-25T08:56:00","slug":"poj_2704_pascal39s_travels-bare_dp","status":"publish","type":"post","link":"https:\/\/nike0good.com\/?p=368","title":{"rendered":"POJ 2704(Pascal's Travels-\u88f8dp)"},"content":{"rendered":"\n\n\n
\n
Language:\n\n\n\n
Time Limit:<\/strong> 1000MS<\/td>\n <\/td>\nMemory Limit:<\/strong> 65536K<\/td>\n<\/tr>\n
Total Submissions:<\/strong> 4821<\/td>\n <\/td>\nAccepted:<\/strong> 2139<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n

Description<\/p>\n

\nAn n x n game board is populated with integers, one nonnegative integer per square. The goal is to travel along any legitimate path from the upper left corner to the lower right corner of the board. The integer in any one square dictates how large a step away
\n from that location must be. If the step size would advance travel off the game board, then a step in that particular direction is forbidden. All steps must be either to the right or toward the bottom. Note that a 0 is a dead end which prevents any further
\n progress. <\/p>\n

Consider the 4 x 4 board shown in Figure 1, where the solid circle identifies the start position and the dashed circle identifies the target. Figure 2 shows the three paths from the start to the target, with the irrelevant numbers in each removed. 
\n\"\"\n<\/div>\n

Input<\/p>\n

\nThe input contains data for one to thirty boards, followed by a final line containing only the integer -1. The data for a board starts with a line containing a single positive integer n, 4 <= n <= 34, which is the number of rows in this board. This is followed
\n by n rows of data. Each row contains n single digits, 0-9, with no spaces between them.<\/div>\n

Output<\/p>\n

\nThe output consists of one line for each board, containing a single integer, which is the number of paths from the upper left corner to the lower right corner. There will be fewer than 263<\/sup> paths for any board. \n<\/div>\n

Sample Input<\/p>\n

4\n2331\n1213\n1231\n3110\n4\n3332\n1213\n1232\n2120\n5\n11101\n01111\n11111\n11101\n11101\n-1\n<\/pre>\n
Sample Output<\/p>\n
3\n0\n7<\/pre>\n
Hint<\/p>\n
\nBrute force methods examining every path will likely exceed the allotted time limit. 64-bit integer values are available as long values in Java or long long values using the contest's C\/C++ compilers.<\/div>\n
Source<\/p>\n
\nMid-Central USA 2005<\/a><\/div>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n
<\/span><\/p>\n
\u5c31\u662fdp\u2026\u2026<\/span><\/p>\n
\u4e00\u5f00\u59cb\u5fd8\u6253\u2018n\u2019 wa\u4e86\u2026\u2026<\/span><\/p>\n
<\/span><\/p>\n
#include<cstdio>\n#include<cstdlib>\n#include<algorithm>\n#include<cstring>\nusing namespace std;\n#define MAXN (34+1)\nint a[MAXN][MAXN],n;\nlong long f[MAXN][MAXN];\nint main()\n{\n\twhile (scanf("%d",&n)&&n+1)\n\t{\n\t\tfor (int i=1;i<=n;i++)\n\t\t{\n\t\t\tchar s[MAXN];\n\t\t\tscanf("%s",s+1);\n\t\t\tfor (int j=1;j<=n;j++) a[i][j]=s[j]-'0';\n\t\t}\n\t\tmemset(f,0,sizeof(f));f[1][1]=1;\n\t\tfor (int i=1;i<=n;i++)\n\t\t\tfor (int j=1;j<=n;j++)\n\t\t\t\tif (a[i][j])\n\t\t\t\t{\n\t\t\t\t\tif (i+a[i][j]<=n) f[i+a[i][j]][j]+=f[i][j];\n\t\t\t\t\tif (j+a[i][j]<=n) f[i][j+a[i][j]]+=f[i][j];\n\t\t\t\t}\n\t\tprintf("%lldn",f[n][n]);\n\t}\n\treturn 0;\n}<\/pre>\n<\/p>\n

\n<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"
Language: Default Pascal’s Travels Time Limit: 100 […]<\/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":[30],"class_list":["post-368","post","type-post","status-publish","format-standard","hentry","category-defaultcategory","tag-dp"],"yoast_head":"\nPOJ 2704(Pascal's Travels-\u88f8dp) - 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=368\" \/>\n<meta property=\"og:locale\" content=\"zh_CN\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"POJ 2704(Pascal's Travels-\u88f8dp) - nike0good\" \/>\n<meta property=\"og:description\" content=\"Language: Default Pascal's Travels Time Limit: 100 […]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/nike0good.com\/?p=368\" \/>\n<meta property=\"og:site_name\" content=\"nike0good\" \/>\n<meta property=\"article:published_time\" content=\"2013-03-25T08:56:00+00:00\" \/>\n<meta property=\"og:image\" content=\"http:\/\/nike0good.jp1.rpvhost.net\/wp-content\/uploads\/csdn\/other_site\/img_my_1364202032_9226.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=\"2 \u5206\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\\\/\\\/nike0good.com\\\/?p=368#article\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/nike0good.com\\\/?p=368\"},\"author\":{\"name\":\"nike0good\",\"@id\":\"https:\\\/\\\/nike0good.com\\\/#\\\/schema\\\/person\\\/4defa38da89de87e400861e73396baad\"},\"headline\":\"POJ 2704(Pascal's Travels-\u88f8dp)\",\"datePublished\":\"2013-03-25T08:56:00+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\\\/\\\/nike0good.com\\\/?p=368\"},\"wordCount\":319,\"commentCount\":0,\"image\":{\"@id\":\"https:\\\/\\\/nike0good.com\\\/?p=368#primaryimage\"},\"thumbnailUrl\":\"http:\\\/\\\/nike0good.jp1.rpvhost.net\\\/wp-content\\\/uploads\\\/csdn\\\/other_site\\\/img_my_1364202032_9226.png\",\"keywords\":[\"DP\"],\"articleSection\":[\"DefaultCategory\"],\"inLanguage\":\"zh-Hans\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\\\/\\\/nike0good.com\\\/?p=368#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/nike0good.com\\\/?p=368\",\"url\":\"https:\\\/\\\/nike0good.com\\\/?p=368\",\"name\":\"POJ 2704(Pascal's Travels-\u88f8dp) - nike0good\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/nike0good.com\\\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\\\/\\\/nike0good.com\\\/?p=368#primaryimage\"},\"image\":{\"@id\":\"https:\\\/\\\/nike0good.com\\\/?p=368#primaryimage\"},\"thumbnailUrl\":\"http:\\\/\\\/nike0good.jp1.rpvhost.net\\\/wp-content\\\/uploads\\\/csdn\\\/other_site\\\/img_my_1364202032_9226.png\",\"datePublished\":\"2013-03-25T08:56:00+00:00\",\"author\":{\"@id\":\"https:\\\/\\\/nike0good.com\\\/#\\\/schema\\\/person\\\/4defa38da89de87e400861e73396baad\"},\"breadcrumb\":{\"@id\":\"https:\\\/\\\/nike0good.com\\\/?p=368#breadcrumb\"},\"inLanguage\":\"zh-Hans\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\\\/\\\/nike0good.com\\\/?p=368\"]}]},{\"@type\":\"ImageObject\",\"inLanguage\":\"zh-Hans\",\"@id\":\"https:\\\/\\\/nike0good.com\\\/?p=368#primaryimage\",\"url\":\"http:\\\/\\\/nike0good.jp1.rpvhost.net\\\/wp-content\\\/uploads\\\/csdn\\\/other_site\\\/img_my_1364202032_9226.png\",\"contentUrl\":\"http:\\\/\\\/nike0good.jp1.rpvhost.net\\\/wp-content\\\/uploads\\\/csdn\\\/other_site\\\/img_my_1364202032_9226.png\"},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\\\/\\\/nike0good.com\\\/?p=368#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\\\/\\\/nike0good.com\\\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"POJ 2704(Pascal's Travels-\u88f8dp)\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\\\/\\\/nike0good.com\\\/#website\",\"url\":\"https:\\\/\\\/nike0good.com\\\/\",\"name\":\"nike0good\",\"description\":\"\u6709\u6240\u4f5c\u4e3a\u662f\u4eba\u751f\u7684\u6700\u9ad8\u5883\u754c\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\\\/\\\/nike0good.com\\\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"zh-Hans\"},{\"@type\":\"Person\",\"@id\":\"https:\\\/\\\/nike0good.com\\\/#\\\/schema\\\/person\\\/4defa38da89de87e400861e73396baad\",\"name\":\"nike0good\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"zh-Hans\",\"@id\":\"https:\\\/\\\/secure.gravatar.com\\\/avatar\\\/8e5fa08d5c367a1a6fb5ff13bb10ed5a331f981513256951290ae42322da6854?s=96&d=identicon&r=g\",\"url\":\"https:\\\/\\\/secure.gravatar.com\\\/avatar\\\/8e5fa08d5c367a1a6fb5ff13bb10ed5a331f981513256951290ae42322da6854?s=96&d=identicon&r=g\",\"contentUrl\":\"https:\\\/\\\/secure.gravatar.com\\\/avatar\\\/8e5fa08d5c367a1a6fb5ff13bb10ed5a331f981513256951290ae42322da6854?s=96&d=identicon&r=g\",\"caption\":\"nike0good\"},\"sameAs\":[\"https:\\\/\\\/nike0good.com\"],\"url\":\"https:\\\/\\\/nike0good.com\\\/?author=1\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"POJ 2704(Pascal's Travels-\u88f8dp) - nike0good","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/nike0good.com\/?p=368","og_locale":"zh_CN","og_type":"article","og_title":"POJ 2704(Pascal's Travels-\u88f8dp) - nike0good","og_description":"Language: Default Pascal's Travels Time Limit: 100 […]","og_url":"https:\/\/nike0good.com\/?p=368","og_site_name":"nike0good","article_published_time":"2013-03-25T08:56:00+00:00","og_image":[{"url":"http:\/\/nike0good.jp1.rpvhost.net\/wp-content\/uploads\/csdn\/other_site\/img_my_1364202032_9226.png","type":"","width":"","height":""}],"author":"nike0good","twitter_card":"summary_large_image","twitter_misc":{"\u4f5c\u8005":"nike0good","\u9884\u8ba1\u9605\u8bfb\u65f6\u95f4":"2 \u5206"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"https:\/\/nike0good.com\/?p=368#article","isPartOf":{"@id":"https:\/\/nike0good.com\/?p=368"},"author":{"name":"nike0good","@id":"https:\/\/nike0good.com\/#\/schema\/person\/4defa38da89de87e400861e73396baad"},"headline":"POJ 2704(Pascal's Travels-\u88f8dp)","datePublished":"2013-03-25T08:56:00+00:00","mainEntityOfPage":{"@id":"https:\/\/nike0good.com\/?p=368"},"wordCount":319,"commentCount":0,"image":{"@id":"https:\/\/nike0good.com\/?p=368#primaryimage"},"thumbnailUrl":"http:\/\/nike0good.jp1.rpvhost.net\/wp-content\/uploads\/csdn\/other_site\/img_my_1364202032_9226.png","keywords":["DP"],"articleSection":["DefaultCategory"],"inLanguage":"zh-Hans","potentialAction":[{"@type":"CommentAction","name":"Comment","target":["https:\/\/nike0good.com\/?p=368#respond"]}]},{"@type":"WebPage","@id":"https:\/\/nike0good.com\/?p=368","url":"https:\/\/nike0good.com\/?p=368","name":"POJ 2704(Pascal's Travels-\u88f8dp) - nike0good","isPartOf":{"@id":"https:\/\/nike0good.com\/#website"},"primaryImageOfPage":{"@id":"https:\/\/nike0good.com\/?p=368#primaryimage"},"image":{"@id":"https:\/\/nike0good.com\/?p=368#primaryimage"},"thumbnailUrl":"http:\/\/nike0good.jp1.rpvhost.net\/wp-content\/uploads\/csdn\/other_site\/img_my_1364202032_9226.png","datePublished":"2013-03-25T08:56:00+00:00","author":{"@id":"https:\/\/nike0good.com\/#\/schema\/person\/4defa38da89de87e400861e73396baad"},"breadcrumb":{"@id":"https:\/\/nike0good.com\/?p=368#breadcrumb"},"inLanguage":"zh-Hans","potentialAction":[{"@type":"ReadAction","target":["https:\/\/nike0good.com\/?p=368"]}]},{"@type":"ImageObject","inLanguage":"zh-Hans","@id":"https:\/\/nike0good.com\/?p=368#primaryimage","url":"http:\/\/nike0good.jp1.rpvhost.net\/wp-content\/uploads\/csdn\/other_site\/img_my_1364202032_9226.png","contentUrl":"http:\/\/nike0good.jp1.rpvhost.net\/wp-content\/uploads\/csdn\/other_site\/img_my_1364202032_9226.png"},{"@type":"BreadcrumbList","@id":"https:\/\/nike0good.com\/?p=368#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/nike0good.com\/"},{"@type":"ListItem","position":2,"name":"POJ 2704(Pascal's Travels-\u88f8dp)"}]},{"@type":"WebSite","@id":"https:\/\/nike0good.com\/#website","url":"https:\/\/nike0good.com\/","name":"nike0good","description":"\u6709\u6240\u4f5c\u4e3a\u662f\u4eba\u751f\u7684\u6700\u9ad8\u5883\u754c","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/nike0good.com\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"zh-Hans"},{"@type":"Person","@id":"https:\/\/nike0good.com\/#\/schema\/person\/4defa38da89de87e400861e73396baad","name":"nike0good","image":{"@type":"ImageObject","inLanguage":"zh-Hans","@id":"https:\/\/secure.gravatar.com\/avatar\/8e5fa08d5c367a1a6fb5ff13bb10ed5a331f981513256951290ae42322da6854?s=96&d=identicon&r=g","url":"https:\/\/secure.gravatar.com\/avatar\/8e5fa08d5c367a1a6fb5ff13bb10ed5a331f981513256951290ae42322da6854?s=96&d=identicon&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/8e5fa08d5c367a1a6fb5ff13bb10ed5a331f981513256951290ae42322da6854?s=96&d=identicon&r=g","caption":"nike0good"},"sameAs":["https:\/\/nike0good.com"],"url":"https:\/\/nike0good.com\/?author=1"}]}},"_links":{"self":[{"href":"https:\/\/nike0good.com\/index.php?rest_route=\/wp\/v2\/posts\/368","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/nike0good.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/nike0good.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/nike0good.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/nike0good.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=368"}],"version-history":[{"count":0,"href":"https:\/\/nike0good.com\/index.php?rest_route=\/wp\/v2\/posts\/368\/revisions"}],"wp:attachment":[{"href":"https:\/\/nike0good.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=368"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/nike0good.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=368"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/nike0good.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=368"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}