还记得7月2日刊登的那道数独难题吗？这道号称世界最难的数独题，吸引了许多高手挑战。江北区一位83岁的退休老人闭关15天，前天凌晨终于把这道题解了出来。

Remember published July 2, the way sudoku problems？This way as the world most difficult sudoku problem，Attracted many superior challenge。Jiangbei a 83-year-old retired old man closed our 15 days，The day before yesterday morning this way TiXie finally come out。

玩数独5年写了本书 Play sudoku 5 years to write a book

　　这道号称世界最难的数独题是一位名叫因卡拉的芬兰数学家耗时3个月设计的，号称只有世上最聪明的头脑才可能得到答案。是否最难尚有争议，但的确让很多高手挠破了头，而重庆市一位八旬老人前日凌晨4时给出了此题答案。

This way as the world most difficult sudoku is a problem because of the Finnish mathematician named Carla spent 3 months of the design，Is the world's most brilliant mind only is it possible to get the answer。The most difficult whether remains controersial，But it does make a lot of ace scratch broken head，And a man years old in chongqing after 4 a.m. when the answers are given。

　　老人名叫陈金康，今年83岁，退休前是重庆师专（现重庆文理学院）数学系主任、副教授，研究数独已5年，还写了一本专著。“2007年，我去美国探亲，看到当地报纸都刊载有数独游戏，试着玩了一下，从此入迷，还买了很多国内外的相关专著来阅读。”觉得不过瘾，陈老又自己写了一本《速破数独金钥匙》，手稿刚完成。7月2日，看见了报纸上一道号称世界最难数独题，陈老因此动了小试牛刀的念头。“如果解不出来，我就把书稿烧掉。”从2日下午到17日凌晨4点，历时15天，终于大功告成。

The old man named ChenJinKang，This year 83 years old，Chongqing is college before retirement（Now chongqing college of arts）The math department、Associate professor，Research sudoku has 5 years，Also wrote a book。“2007 years，I went to visit the United States，See the local newspapers published several game alone，Try to play it，From then on ecstasy，Also bought a lot of books related to reading at home and abroad。”Not satisfied，ChenLao and himself wrote a book《Speed broken sudoku golden key》，Manuscript had just finished。July 2,，Saw a newspaper as the world the most difficult sudoku problem，ChenLao so moved NiuDao test the idea。“If the answer not to come out，I'll explosive burned。”From the afternoon of 2 to 17, at 4 am，It took 15 days，Finally accomplished。

闭关15天做题128叠 Retreat to solve the 15 days of 128

　　“每天早上最晚6点半起床，一直解到晚上12点，还常常失眠。有天晚上实在睡不着，半夜三点半起床继续解，16日晚上觉得渐入佳境，于是一鼓作气熬夜算了出来。”陈老的老伴在一旁笑着补充：“我当时说他，再这样算下去，题没做出来，身体就先垮了。”

“Every morning at 6:30, the late morning，Solution has been 12 PM，Often insomnia。One evening really couldn't sleep，Get up at in the middle of the solution to continue，16 night feel began in earnest，So going to stay up late forget it out。”ChenLao wife at the side added with a laugh：“I said at the time he，So calculate down again，Problem didn't make to，The body is first broke down。”

　　“一点都不枯燥，反而很兴奋，目的不在于解题，是为了验证我书稿里的算法。”陈老介绍，第一步先确定出128种可能填法，再按顺序逐一尝试，每种可能又包含更多可能，也就是说实际运算量更大，即不只有128种算法。

“Not at all boring，But excited，Purpose is not the problem solving，The book I was to examine the algorithm。”ChenLao introduced，The first step was to determine the 128 possible fill in the law，According to order one by one to try again，Each of the possible and contains more likely，That is the actual computation more，That is not only 128 kind of algorithm。

　　记者看到，陈家桌上摆着好几包作废的题本，都一一编了号。“做到60多号时，以为答案就要出来了，激动得不得了，结果还是冲突，到86号时才成功了！”陈老说，他左眼患有白内障，右眼眼底损坏：“有时眼一花，就错了。”

The reporter sees，The table set several packages expire this problem，A coded number one。“Do more than 60 number，Think the answer will come out，Incredibly excited，The results or conflict，To 86, when it was successful！”ChenLao said，His left eye with cataract，Right eye eye damage：“Sometimes eye a flower，Is wrong。”

答案唯一才是数独 The answer is the only count only

　　晚报刊登此题没多久，许多网友纷纷宣称自己做出了答案，且有多种解法，不免令人困惑。所谓数独，顾名思义，就是每道题都只有一解。记者仔细查看了这些所谓正确答案，发现实际上很多人都没有完全理解数独的规则。数独是由9个3×3的小九宫格组成的大九宫格，要求每行横向9格、每列纵向9格、每宫（用粗线分割的区域），都填入1—9的数字，且不能重复。做出多种答案的，基本上都不能满足每宫数字不重复的要求。

Evening news published this problem before long，Many users have claimed to make the answer，And there are a variety of solutions，Not confusing。The so-called sudoku，Just as its name implies，Each question is only one solution。Reporters looked at it carefully these so-called the correct answer，Found in fact many people are not fully understand sudoku rules。Sudoku is by nine 3 by three little JiuGongGe composition of the big JiuGongGe，Each line horizontal nine's requirements、Each column longitudinal 9 case、Each house（With a thick line integral area），All fill in the 1-9 number，And can't repeat。Make a variety of the answer，Basically can't satisfy every digital no repeat of the request。

电脑演算失去乐趣 Computer calculus lose fun

　　据扬子晚报报道，7月2日晚，一位名叫“gkzhong”的网友利用电脑程序解出了这道数独，据说耗时300毫秒。聂崇峡，现年54岁，学计算机出身，现供职重庆大学审计处，他也自称解出了这道题，自己编写程序，运算耗时10秒，他称：“300毫秒不太可能，但不会超过10秒。”既然用电脑如此轻松，为何还要劳心劳力？网友“Grayfox”认为，数独游戏从产生之初，就是用纸笔演算，亲自动手的过程中才能得到逻辑训练，并充分体会思维的乐趣。用程序解题，失去了原有的意义。陈老也说：“用电脑程序解题，只有答案，没有过程，也发现不了规律，失去很多乐趣。”

According to the yangzi evening news reported，July 2, late，A man named“gkzhong”The net friend of using the computer program worked out this way sudoku，It is said that time consuming 300 milliseconds。NieChongXia，, 54, who，Learn computer was born，Current post in chongqing university audit，He also claims worked out the problem，Their programming，Operation take about 10 seconds，He says：“300 milliseconds is unlikely，But not more than 10 seconds。”Now that using the computer so easily，Why are pesters？the“Grayfox”think，Sudoku games from the beginning of produce，Is the paper and pencil calculus，A hands-on process can obtain the logic training，And fully experience the fun of thinking。Problem solving with program，Lose their meaning。ChenLao also said：“Using the computer program problem solving，Only the answer，No process，Also found no rule，Lose a lot of fun。”

学学他的陈氏解法 Learn his Chen solution

　　陈老采用的是自己发明的骑马、封闭、网独，组合淘汰逼近式解法。

ChenLao USES is own invention ride、closed、Nets alone，Combination of approximation method out。

　　骑马，利用纵横摒除，确定每个小宫格内只有两个可能位置的数字，把这个叫做骑马数，一次可确定出6个骑马数。组合，6个骑马数之外，还能确定某一格只能填入两个数字，于是产生2的7次方，即128种可能性，答案就在这128张网中。淘汰，将128种可能性逐一尝试淘汰，答案浮现。这种操作方法跟随意试数相比，有一定规律性，但过程相当繁难，因为每张网下还会不断产生新的小组合，小组合下还有小组合，即实际运算量是128×N×N。逐层淘汰难度也很大，但好处是，每次做出来的几个数都是绝对正确的，不需全盘推翻。

riding，Use and eliminates the，To make sure that each cell 3 x3 box only two possible location of the Numbers，Call this number on horseback，Once can determine the number six on horseback。combination，Six ride outside number，Still can determine a lattice can fill in the two Numbers，7 power generating 2，That is 128 possibilities，The answer is in the 128 web。eliminated，Will 128 possibility one by one to try out，The answer comes。This operation method compared with optional try number，Have certain regularity，But the process is very hard，Because each off-line will also be constantly produce new small combination，Small portfolio and small combination，That is the actual computation is 128 x N × N。The difficulty is very big also knocked out one by one，But the benefits are，Every time a few number is absolutely correct，Do not need to completely overturned。

数独游戏 Sudoku games

　　数独是一种填数字游戏，英文名叫Sudoku，起源于瑞士，1970年代由美国一家数学逻辑游戏杂志首先发表，名为Number Place，后在日本流行，于1984年把Sudoku取名为数独，即独立的数字的省略，解释为每个方格都填上一个个位数。2004年，曾任香港高等法院法官的高乐德（Wayne Gould）把这款游戏带到英国，成为英国流行的数学智力拼图游戏。

Sudoku is a kind of fill in the Numbers game，English named Sudoku，Originated in Switzerland，The early 1970 s by the United States a mathematical logic game magazine is first published，Number Place called，In Japan after pop，In 1984 a Sudoku named alone，That is independent of the number of government，For each square are explained fill in a single digits。2004 years，Once the Supreme Court of the state of Hong Kong's high music（Wayne Gould）Put the game to England，Become a British pop mathematical jigsaw puzzle。

　　拼图是九宫格（即3格宽×3格高）的正方形状，每格又细分为一个九宫格。在每个小九宫格中，分别填上1至9的数字，让整个大九宫格每列、每行的数字都不重复。数独的玩法逻辑简单，数字排列方式千变万化，不少教育者认为，数独是锻炼大脑的好方法。

Jigsaw puzzles are JiuGongGe（Namely 3 × 3 case by width to high）Square shape of，Each frame, and further into a JiuGongGe。In every little JiuGongGe，Fill respectively the Numbers 1 to 9，Let the whole big JiuGongGe each column、Of each line of Numbers are not repeated。Sudoku play simple logic，Digital arrangement is protean，Many educators think，Sudoku is the good method of brain exercise。

　　见习记者陈思摄影报道

Trainee reporters reported Chen photography