 Permutation Recovery

Problem Description
Professor Permula gave a number of permutations of the n integers 1, 2, ..., n to her students. For each integer i (1 <= i <= n), she asks the students to write down the number of integers greater than i that appears before i in the given permutation. This number is denoted ai. For example, if n = 8 and the permutation is 2,7,3,5,4,1,8,6, then a1 = 5 because there are 5 numbers (2, 7, 3, 5, 4) greater than 1 appearing before it. Similarly, a4 = 2 because there are 2 numbers (7, 5) greater than 4 appearing before it.John, one of the students in the class, is studying for the final exams now. He found out that he has lost the assignment questions. He only has the answers (the ai's) but not the original permutation. Can you help him determine the original permutation, so he can review how to obtain the answers?
Input
The input consists of a number of test cases. Each test case starts with a line containing the integer n (n <= 500). The next n lines give the values of a1, ..., an. The input ends with n = 0.Output
For each test case, print a line specifying the original permutation. Adjacent elements of a permutation should be separated by a comma. Note that some cases may require you to print lines containing more than 80 characters.Sample Input
8
5
0
1
2
1
2
0
0
10
9
8
7
6
5
4
3
2
1
0
0Sample Output
2,7,3,5,4,1,8,6
10,9,8,7,6,5,4,3,2,1
这个问题用C语言寻找什么算法可以得到解决呢？_course
20181203Problem Description Mr. Fib is a mathematics teacher of a primary school. In the next lesson, he is planning to teach children how to add numbers up. Before the class, he will prepare N cards with numbers. The number on the ith card is ai. In class, each turn he will remove no more than 3 cards and let students choose any ten cards, the sum of the numbers on which is 87. After each turn the removed cards will be put back to their position. Now, he wants to know if there is at least one solution of each turn. Can you help him? Input The first line of input contains an integer t (t≤5), the number of test cases. t test cases follow. For each test case, the first line consists an integer N(N≤50). The second line contains N nonnegative integers a1,a2,...,aN. The ith number represents the number on the ith card. The third line consists an integer Q(Q≤100000). Each line of the next Q lines contains three integers i,j,k, representing Mr.Fib will remove the ith, jth, and kth cards in this turn. A question may degenerate while i=j, i=k or j=k. Output For each turn of each case, output 'Yes' if there exists at least one solution, otherwise output 'No'. Sample Input 1 12 1 2 3 4 5 6 7 8 9 42 21 22 10 1 2 3 3 4 5 2 3 2 10 10 10 10 11 11 10 1 1 1 2 10 1 11 12 1 10 10 11 11 12 Sample Output No No No Yes No Yes No No Yes Yes
Pseudoprime numbers 的程序的设计_course
20190831Problem Description Fermat's theorem states that for any prime number p and for any integer a > 1, a^p == a (mod p). That is, if we raise a to the pth power and divide by p, the remainder is a. Some (but not very many) nonprime values of p, known as basea pseudoprimes, have this property for some a. (And some, known as Carmichael Numbers, are basea pseudoprimes for all a.) Given 2 < p ≤ 1,000,000,000 and 1 < a < p, determine whether or not p is a basea pseudoprime. Input Input contains several test cases followed by a line containing "0 0". Each test case consists of a line containing p and a. Output For each test case, output "yes" if p is a basea pseudoprime; otherwise output "no". Sample Input 3 2 10 3 341 2 341 3 1105 2 1105 3 0 0 Sample Output no no yes no yes yes
Mysql PHP中的随机数生成_course
20091215<div class="posttext" itemprop="text"> <p>I have 16 million records and need a 8 digit UNIQUE random number for each record, also I want all the numbers to start with 01, and store them in a seperate table, so I can assign the UNIQUE numbers to each record.</p> <p>I am unsure of how to do this in PHP in order to get 16 million UNIQUE numbers?</p> <p>Please help?!</p> <p>J.</p> </div>
Rank _course
20170626Problem Description Jackson wants to know his rank in the class. The professor has posted a list of student numbers and marks. Compute Jackson’s rank in class; that is, if he has the top mark(or is tied for the top mark) his rank is 1; if he has the second best mark(or is tied) his rank is 2, and so on. Input The input consist of several test cases. Each case begins with the student number of Jackson, an integer between 10000000 and 99999999. Following the student number are several lines, each containing a student number between 10000000 and 99999999 and a mark between 0 and 100. A line with a student number and mark of 0 terminates each test case. There are no more than 1000 students in the class, and each has a unique student number. Output For each test case, output a line giving Jackson’s rank in the class. Sample Input 20070101 20070102 100 20070101 33 20070103 22 20070106 33 0 0 Sample Output 2
Interesting Housing Problem 的问题_course
20200216Problem Description For any school, it is hard to find a feasible accommodation plan with every student assigned to a suitable apartment while keeping everyone happy, let alone an optimal one. Recently the president of University ABC, Peterson, is facing a similar problem. While Peterson does not like the idea of delegating the task directly to the class advisors as so many other schools are doing, he still wants to design a creative plan such that no student is assigned to a room he/she dislikes, and the overall quality of the plan should be maximized. Nevertheless, Peterson does not know how this task could be accomplished, so he asks you to solve this socalled "interesting" problem for him. Suppose that there are N students and M rooms. Each student is asked to rate some rooms (not necessarily all M rooms) by stating how he/she likes the room. The rating can be represented as an integer, positive value meaning that the student consider the room to be of good quality, zero indicating neutral, or negative implying that the student does not like living in the room. Note that you can never assign a student to a room which he/she has not rated, as the absence of rating indicates that the student cannot live in the room for other reasons. With limited information available, you've decided to simply find an assignment such that every student is assigned to a room he/she has rated, no two students are assigned to the same room, and the sum of rating is maximized while satisfying Peterson's requirement. The question is … what exactly is the answer? Input There are multiple test cases in the input file. Each test case begins with three integers, N, M, and E (1 <= N <= 500, 0 <= M <= 500, 0 <= E <= min(N * M, 50000)), followed by E lines, each line containing three numbers, Si, Ri, Vi, (0 <= Si < N, 0 <= Ri < M, Vi <= 10000), describing the rating Vi given by student Si for room Ri. It is guaranteed that each student will rate each room at most once. Each case is followed by one blank line. Input ends with EndofFile. Output For each test case, please output one integer, the requested value, on a single line, or 1 if no solution could be found. Use the format as indicated in the sample output. Sample Input 3 5 5 0 1 5 0 2 7 1 1 6 1 2 3 2 4 5 1 1 1 0 0 0 1 1 0 Sample Output Case 1: 18 Case 2: 0 Case 3: 1
如何将数据（php）传递到数据库（mysql）以获得最佳性能？_course
20170219<div class="posttext" itemprop="text"> <p>I created a php system that generates 150 "Serial Number" for each product. Now I want to store these serial numbers in a database. There are some ways that I found to do this:</p> <ol> <li>Create a table name <code>products_serialNumber</code> and store each serialnumber to 1 record and relate it to products using <code>product_id</code> key.</li> </ol> <p>If I do this, I will have lots of data that may no body use that. But fetching data in this way is more easier and faster.</p> <ol start="2"> <li>Create a table name <code>product_serialNumbers</code> and store array of serialnumbers for each products and relate is using "product_id" key again.</li> </ol> <p>If I do like this way, I will have a serial numbers record for each products, but I should use more <code>foreach</code> and <code>for loop</code> functions to extract array of data and variables to use where that I need, and use lots of memory. I'm limited to 64m using memory.</p> </div>
生成随机唯一序列_course
20130115<div class="posttext" itemprop="text"> <p>I want to build a <strong>token</strong> number generator. In each call, a random and unique 8digit number should be returned. I am using PHP and MySQL. In MySQL I'll have a table where I will insert the new serial, each time it will be generated.</p> <p>How can I generate new numbers in each call?</p> <p>Tokens will be used from endusers to activate software (and will expire, e.g. after 1 week). So, I need tokens to be unique and not sequential. This describes better my needs. Token format will be just numbers, so that it can be easily spelled and typed.</p> <p>Even if tokens expire, I do not want to generate an already generated token at a later time.</p> <p>Thank you</p> </div>
The 3n + 1 problem怎么算的_course
20190811Problem Description Problems in Computer Science are often classified as belonging to a certain class of problems (e.g., NP, Unsolvable, Recursive). In this problem you will be analyzing a property of an algorithm whose classification is not known for all possible inputs. Consider the following algorithm: 1. input n 2. print n 3. if n = 1 then STOP 4. if n is odd then n < 3n + 1 5. else n < n / 2 6. GOTO 2 Given the input 22, the following sequence of numbers will be printed 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1 It is conjectured that the algorithm above will terminate (when a 1 is printed) for any integral input value. Despite the simplicity of the algorithm, it is unknown whether this conjecture is true. It has been verified, however, for all integers n such that 0 < n < 1,000,000 (and, in fact, for many more numbers than this.) Given an input n, it is possible to determine the number of numbers printed (including the 1). For a given n this is called the cyclelength of n. In the example above, the cycle length of 22 is 16. For any two numbers i and j you are to determine the maximum cycle length over all numbers between i and j. Input The input will consist of a series of pairs of integers i and j, one pair of integers per line. All integers will be less than 1,000,000 and greater than 0. You should process all pairs of integers and for each pair determine the maximum cycle length over all integers between and including i and j. You can assume that no opperation overflows a 32bit integer. Output For each pair of input integers i and j you should output i, j, and the maximum cycle length for integers between and including i and j. These three numbers should be separated by at least one space with all three numbers on one line and with one line of output for each line of input. The integers i and j must appear in the output in the same order in which they appeared in the input and should be followed by the maximum cycle length (on the same line). Sample Input 1 10 100 200 201 210 900 1000 Sample Output 1 10 20 100 200 125 201 210 89 900 1000 174
Interesting Yang Yui Triangle _course
20171203Problem Description Harry is a Junior middle student. He is very interested in the story told by his mathematics teacher about the Yang Hui triangle in the class yesterday. After class he wrote the following numbers to show the triangle our ancestor studied. 1 1 1 1 2 1 1 3 3 1 1 4 6 4 1 1 5 10 10 5 1 1 6 15 20 15 6 1 1 7 21 35 35 21 7 1 ...... He found many interesting things in the above triangle. It is symmetrical, and the first and the last numbers on each line is 1; there are exactly i numbers on the line i. Then Harry studied the elements on every line deeply. Of course, his study is comprehensive. Now he wanted to count the number of elements which are the multiple of 3 on each line. He found that the numbers of elements which are the multiple of 3 on line 2, 3, 4, 5, 6, 7, ... are 0, 0, 2, 1, 0, 4, ... So the numbers of elements which are not divided by 3 are 2, 3, 2, 4, 6, 3, ... , respectively. But he also found that it was not an easy job to do so with the number of lines increasing. Furthermore, he is not satisfied with the research on the numbers divided only by 3. So he asked you, an erudite expert, to offer him help. Your kind help would be highly appreciated by him. Since the result may be very large and rather difficult to compute, you only need to tell Harry the last four digits of the result. Input There are multiple test cases in the input file. Each test case contains two numbers P and N , (P < 1000, N<=10^9) , where P is a prime number and N is a positive decimal integer. P = 0, N = 0 indicates the end of input file and should not be processed by your program. Output For each test case, output the last four digits of the number of elements on the N + 1 line on Yang Hui Triangle which can not be divided by P in the format as indicated in the sample output. Sample Input 3 4 3 48 0 0 Sample Output Case 1: 0004 Case 2: 0012
我怎样才能迅速总结文件中的所有数字？_course
20100423<div class="posttext" itemprop="text"> <p>I have a file which contains several thousand numbers, each on it's own line:</p> <pre><code>34 42 11 6 2 99 ... </code></pre> <p>I'm looking to write a script which will print the sum of all numbers in the file. I've got a solution, but it's not very efficient. (It takes several minutes to run.) I'm looking for a more efficient solution. Any suggestions?</p> </div> <p>转载于:https://stackoverflow.com/questions/2702564/howcaniquicklysumallnumbersinafile</p>
Ladies' Choice _course
20170330Teenagers from the local high school have asked you to help them with the organization of next year's Prom. The idea is to find a suitable date for everyone in the class in a fair and civilized way. So, they have organized a web site where all students, boys and girls, state their preferences among the class members, by ordering all the possible candidates. Your mission is to keep everyone as happy as possible. Assume that there are equal numbers of boys and girls. Given a set of preferences, set up the blind dates such that there are no other two people of opposite sex who would both rather have each other than their current partners. Since it was decided that the Prom was Ladies' Choice, we want to produce the best possible choice for the girls. Input A positive integer P in a single line followed by a sequence of P test cases. Each test case consists of a positive integer N, not greater than 1,000, indicating the number of couples in the class. Next, there are N lines, each one containing the all the integers from 1 to N, ordered according to the girl's preferences. Next, there are N lines, each one containing all the integers from 1 to N, ordered according to the boy's preferences. Output The output consists of a sequence of N lines, where the ith line contains the number of the boy assigned to the ith girl (from 1 to N). Sample Input 1 5 1 2 3 5 4 5 2 4 3 1 3 5 1 2 4 3 4 2 1 5 4 5 1 2 3 2 5 4 1 3 3 2 4 1 5 1 2 4 3 5 4 1 2 5 3 5 3 2 4 1 Sample Output 1 2 5 3 4
如何获取数字并插入数组_course
20180820<div class="posttext" itemprop="text"> <p>I have something like this => "1,2,3" that I get this from the user (that is just an example because I do not know those numbers)</p> <p>I want to get those numbers and insert each number into an array like $numbers</p> <pre><code>$numbers['0'] = 1; $numbers['1'] = 2; </code></pre> <p>how can I do that?</p> </div>
如何按4列的总和对输出进行排序？ SQL / PHP_course
20130511<div class="posttext" itemprop="text"> <p>I have 4 columns each containing a number. I need the <code>echo</code> to output in such an order, that the row with the biggest sum of numbers (from each of the 4 columns) is the first.</p> <p>For example:</p> <pre><code>1)id11 101 2 2)id23 12431 3)id3120 1 1 </code></pre> <p>After ordering:</p> <pre><code>1)id23 12431 2)id11 101 2 3)id3120 1 1 </code></pre> <p>One option is to make a "sum" column... but that would require updating it each time one of the numbers in one of the columns changes... Is there a more simple solution? For example, I output the sum of numbers of each <code>id</code> when it is displayed in a single <code><div></code>, I add them with a function before outputing the <code><div></code>.</p> </div>
jQuery AJAX .each（）计数项目_course
20171218<div class="posttext" itemprop="text"> <p>I'm pulling data from an XML DB. It's roughly: </p> <pre><code><record> <eventname></eventname> <company></company> <city></city> <state></state> </record> </code></pre> <p>I then parse it with the following: </p> <pre><code>success: function(xml){ $('record',xml).each(function() { var evname = $(this).find('eventname').text(); var co = $(this).find('company').text(); var city = $(this).find('city').text(); var state = $(this).find('state').text(); ... </code></pre> <p>After I have the variables, I run an each() for the individual states: </p> <pre><code>$(this).find('state').each(function(){ </code></pre> <p>This way I can return events for each state, and it's working great. What I need to do this year, however, is provide a count of events in each state. For various reasons, the most reliable item is "city". So I tried: </p> <pre><code>var count = $(this).find('city').length; </code></pre> <p>But when I parse it with this in the state loop: </p> <pre><code>$('<div></div>').html('<p>Total: '+ count +'</p>').prependTo('.'+ state); </code></pre> <p>I get a paragraph line for each city and the resulting number of "1", so: </p> <blockquote> <p>Total: 1 Total: 1 Total: 1</p> </blockquote> <p>...</p> <p>I think that's because AJAX is looping through each record and just returning a single result when it finds it. The count (number of paragraphs) is correct on in each state. If a state has 15 events, there are 15 "Total: 1"s prepended. So the question I have (and I've tried a lot of different methods of parsing), is how do I sum the numbers and get a result like: "Total: 15"? </p> </div>
XML文档中的奇怪字符_course
20101111<div class="posttext" itemprop="text"> <p>I have a strange character showing up on my rss feed. On firefox, it looks like a box with four numbers in each corner, in some cases, 0  0  9  4, in other 0  0  9  2.</p> <p>These are appearing where smart quotes should be.</p> <p>I'm familiar with the black diamond with the question mark, but this is a new one. </p> </div>
如何从随机数字自动填充的下拉菜单中生成一组文本框？_course
20120709<div class="posttext" itemprop="text"> <p>I would like to use a dropdown menu to allow the selection of a set number of three textboxes where each number set of textboxes should contain a unique set of numbers. Currently, the dropdown menu does create the desired number of sets of textboxes, for example, selecting 5 generated a set of 5 textboxes filled with random numbers. The problem is that they are all the same sets of random numbers. </p> <p>I would like something where a selected number in the dropdown menu would generate the desired sets of textboxes, then clicking on a Generate Numbers button would fill the sets of textboxes with random numbers where each set is unique. Can this be done with Javascript, JQuery or do I need to use something else?</p> <p>Here's my code so far. Thank you very much for your help.</p> <pre><code><?php //generate set of random numbers from 1 to 10000 function RandomNumbers($min, $max, $quantity) { $numbers = range($min, $max); shuffle($numbers); return array_slice($numbers, 0, $quantity); } $num = (RandomNumbers(1,10000,10000)); $random1 = $num[0]; $random2 = $num[1]; $random3 = $num[2]; ?> <html> <head> <script type='text/javascript' src='js/jquery.js'></script> </head> <script type="text/javascript"> //this is the code which I am not sure how to develop >>> $(document).ready(function(){ $counter = 0; // initialize 0 for limiting textboxes $('#dropdownadd').change(function(){ $('#dropdowndiv').html(""); // when the dropdown change set the div to empty $loopcount = $(this).val(); // get the selected value for (var i = 1; i <= $loopcount; i++) { //this adds textboxes using dropdown menu but inserts the same number set into each set of textboxes $('#dropdowndiv').append('<div><form>Number Set #'+i+'<input type="text" name="num1" class="textbox1" value="<?php echo $random1; ?>" /><input type="text" name="2" class="textbox2" value="<?php echo $random2; ?>" /><input type="text" name="3" class="textbox3" value="<?php echo $random3; ?>" /></div>'); } }); }); </script> <div id="dropdowndiv"> <! this is where textboxes will appear > </div> <div class="choices"> <span>Adding Textboxes using Dropdown Menu</span> <select id="dropdownadd"> <option value="0">0</option> <option value="1">1</option> <option value="2">2</option> <option value="3">3</option> <option value="4">4</option> <option value="5">5</option> <option value="10">10</option> <option value="20">20</option> </select> </div> </html> <HTML> <form name="form" method="post"> <input type="text" name="num1" id="var1" value="<?php echo $random1; ?>" > <input type="text" name="num2" id="var1" value="<?php echo $random2; ?>" > <input type="text" name="num3" id="var1" value="<?php echo $random3; ?>" > <br> <input type="submit" name="submit" value="Generate Numbers"> </form> </HTML> </code></pre> </div>
Interesting Yang Yui Triangle 杨晖三角_course
20190927Problem Description Harry is a Junior middle student. He is very interested in the story told by his mathematics teacher about the Yang Hui triangle in the class yesterday. After class he wrote the following numbers to show the triangle our ancestor studied. 1 1 1 1 2 1 1 3 3 1 1 4 6 4 1 1 5 10 10 5 1 1 6 15 20 15 6 1 1 7 21 35 35 21 7 1 ...... He found many interesting things in the above triangle. It is symmetrical, and the first and the last numbers on each line is 1; there are exactly i numbers on the line i. Then Harry studied the elements on every line deeply. Of course, his study is comprehensive. Now he wanted to count the number of elements which are the multiple of 3 on each line. He found that the numbers of elements which are the multiple of 3 on line 2, 3, 4, 5, 6, 7, ... are 0, 0, 2, 1, 0, 4, ... So the numbers of elements which are not divided by 3 are 2, 3, 2, 4, 6, 3, ... , respectively. But he also found that it was not an easy job to do so with the number of lines increasing. Furthermore, he is not satisfied with the research on the numbers divided only by 3. So he asked you, an erudite expert, to offer him help. Your kind help would be highly appreciated by him. Since the result may be very large and rather difficult to compute, you only need to tell Harry the last four digits of the result. Input There are multiple test cases in the input file. Each test case contains two numbers P and N , (P < 1000, N<=10^9) , where P is a prime number and N is a positive decimal integer. P = 0, N = 0 indicates the end of input file and should not be processed by your program. Output For each test case, output the last four digits of the number of elements on the N + 1 line on Yang Hui Triangle which can not be divided by P in the format as indicated in the sample output. Sample Input 3 4 3 48 0 0 Sample Output Case 1: 0004 Case 2: 0012
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专为程序员设计的数学课_course
20191111<p> 限时福利限时福利，<span>15000+程序员的选择！</span> </p> <p> 购课后添加学习助手（微信号：csdn590），按提示消息领取编程大礼包！并获取讲师答疑服务！ </p> <p> <br> </p> <p> 套餐中一共包含5门程序员必学的数学课程（共47讲） </p> <p> 课程1：《零基础入门微积分》 </p> <p> 课程2：《数理统计与概率论》 </p> <p> 课程3：《代码学习线性代数》 </p> <p> 课程4：《数据处理的最优化》 </p> <p> 课程5：《马尔可夫随机过程》 </p> <p> <br> </p> <p> 哪些人适合学习这门课程？ </p> <p> 1）大学生，平时只学习了数学理论，并未接触如何应用数学解决编程问题； </p> <p> 2）对算法、数据结构掌握程度薄弱的人，数学可以让你更好的理解算法、数据结构原理及应用； </p> <p> 3）看不懂大牛代码设计思想的人，因为所有的程序设计底层逻辑都是数学； </p> <p> 4）想学习新技术，如：人工智能、机器学习、深度学习等，这门课程是你的必修课程； </p> <p> 5）想修炼更好的编程内功，在遇到问题时可以灵活的应用数学思维解决问题。 </p> <p> <br> </p> <p> 在这门「专为程序员设计的数学课」系列课中，我们保证你能收获到这些:<br> <br> <span> </span> </p> <p class="qllong24357476"> <span class="qlauthor24357476">①价值300元编程课程大礼包</span> </p> <p class="qllong24357476"> <span class="qlauthor24357476">②应用数学优化代码的实操方法</span> </p> <p class="qllong24357476"> <span class="qlauthor24357476">③数学理论在编程实战中的应用</span> </p> <p class="qllong24357476"> <span class="qlauthor24357476">④程序员必学的5大数学知识</span> </p> <p class="qllong24357476"> <span class="qlauthor24357476">⑤人工智能领域必修数学课</span> </p> <p> <br> 备注：此课程只讲程序员所需要的数学，即使你数学基础薄弱，也能听懂，只需要初中的数学知识就足矣。<br> <br> 如何听课？ </p> <p> 1、登录CSDN学院 APP 在我的课程中进行学习； </p> <p> 2、登录CSDN学院官网。 </p> <p> <br> </p> <p> 购课后如何领取免费赠送的编程大礼包和加入答疑群？ </p> <p> 购课后，添加助教微信：<span> csdn590</span>，按提示领取编程大礼包，或观看付费视频的第一节内容扫码进群答疑交流！ </p> <p> <img src="https://imgbss.csdn.net/201912251155398753.jpg" alt=""> </p>
Python+OpenCV计算机视觉
20181228Python+OpenCV计算机视觉系统全面的介绍。
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