The Prime Numbers MishraJi, a mathematics teacher, was teaching his 6th standard students about the prime numbers. He listed the first 15 prime numbers on the blackboard: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47 "We see that the 13th prime number is 41.", said MishraJi. Little Tinku, fascinated about the prime numbers, asked, "Sir, what is the 100th prime number?" The teacher, unable to answer the question then, promised Tinku to tell the answer in the next class. Task Your task is to help MishraJi by writing a program which can tell the Nth prime number. Input The first line of the input will contain the single positive integer t (1 <= t <= 1000), indicating the number of test cases to follow. The following t lines will be containing one positive integer n per line (1<= n <= 100000). Output The output will consist of t lines, with exactly one number on each line, the n-th prime number. Example Sample input: 3 13 100 10001 Sample output: 41 541 104743 question 2 The Palindromes A string is said to be palindrome, if it reads same from both ends, i.e, from left-to-right and from right-to-left. For example, MALAYALAM is a palindrome string. The letters are symmetrical at both ends. Similarly, a numeral palindrome has corresponding digits from the both ends symmetrical. So, on reversing the digits of the number, we get the same number itself. Thus, 23432 is a palindrome number. Further, some numbers have the property that they are palindrome in both decimal, and binary bases. One such example is the number 58510 = 10010010012 We see that both 585 and 1001001001 are palindromes. Task In a given range, you have to find out those numbers which are palindrome in both decimal and binary bases, and report their decimal sum. Input The first line of the input will have a single integer t (1 <= t <= 50), the number of test cases. Then, t test cases will follow. Each test case will consist of two numbers m and n, which will define the lower limit and the upper limit of the range (m, n <= 10000000 and m < n). Output The output will contain t lines with exactly one number on each line, the sum of all the palindromes (in both decimal and binary bases) that lie in the given range [m, n]. Examples Sample input: 3 1 100 300 1000 10000 50000 Sample output: 157 1772 89339 question 3 The Language War Apologists of Java and C++ can argue for hours proving each other that their programming language is the best one. Java people will tell that their programs are clearer and less prone to errors, while C++ people will laugh at their inability to instantiate an array of generics or tell them that their programs are slow and have long source code. Another issue that Java and C++ people could never agree on is identifier naming. In Java a multiword identifier is constructed in the following manner: the first word is written starting from the small letter, and the following ones are written starting from the capital letter, no separators are used. All other letters are small. Examples of a Java identifier are javaIdentifier, longAndMnemonicIdentifier, name, nEERC. Unlike them, C++ people use only small letters in their identifiers. To separate words they use underscore character _. Examples of C++ identifiers are c_identifier, long_and_mnemonic_identifier, name (you see that when there is just one word Java and C++ people agree), n_e_e_r_c. You are writing a translator that is intended to translate C++ programs to Java and vice versa. Of course, identifiers in the translated program must be formatted due to its language rules otherwise people will never like your translator. Task The first thing you would like to write is an identifier translation routine. Given an identifier, it would detect whether it is Java identifier or C++ identifier and translate it to another dialect. If it is neither, then your routine should report an error. Translation must preserve the order of words and must only change the case of letters and/or add/remove underscores. Input The input file consists of several lines that contains an identifier. It consists of letters of the English alphabet and underscores. Its length does not exceed 100. Output If the input identifier is Java identifier, output its C++ version. If it is C++ identifier, output its Java version. If it is none, output 'Error!' instead. Example Sample Input: the_holy_war_of_languages anotherExample input bad_Style Sample Output: theHolyWarOfLanguages another_example input Error! question 3 The Language War Apologists of Java and C++ can argue for hours proving each other that their programming language is the best one. Java people will tell that their programs are clearer and less prone to errors, while C++ people will laugh at their inability to instantiate an array of generics or tell them that their programs are slow and have long source code. Another issue that Java and C++ people could never agree on is identifier naming. In Java a multiword identifier is constructed in the following manner: the first word is written starting from the small letter, and the following ones are written starting from the capital letter, no separators are used. All other letters are small. Examples of a Java identifier are javaIdentifier, longAndMnemonicIdentifier, name, nEERC. Unlike them, C++ people use only small letters in their identifiers. To separate words they use underscore character _. Examples of C++ identifiers are c_identifier, long_and_mnemonic_identifier, name (you see that when there is just one word Java and C++ people agree), n_e_e_r_c. You are writing a translator that is intended to translate C++ programs to Java and vice versa. Of course, identifiers in the translated program must be formatted due to its language rules otherwise people will never like your translator. Task The first thing you would like to write is an identifier translation routine. Given an identifier, it would detect whether it is Java identifier or C++ identifier and translate it to another dialect. If it is neither, then your routine should report an error. Translation must preserve the order of words and must only change the case of letters and/or add/remove underscores. Input The input file consists of several lines that contains an identifier. It consists of letters of the English alphabet and underscores. Its length does not exceed 100. Output If the input identifier is Java identifier, output its C++ version. If it is C++ identifier, output its Java version. If it is none, output 'Error!' instead. Example Sample Input: the_holy_war_of_languages anotherExample input bad_Style Sample Output: theHolyWarOfLanguages another_example input Error! question 4 Maximum Sub-Array For an array of n integers, the maximum sub-array can be defined as that subset of consecutive elements of the array, which on addition, yield the maximum sum. For example, if there is an array A = {8, -10, 7, 4, -3, 5, -9, 2, -4, 3 } , then the maximum sub-array whose elements add up to produce maximum sum is { 7, 4, -3, 5 } with the sum being 13. Task Given a set of arrays, your task is to find out their respective maximum sub-arrays, and report the sum of the elements of each sub-array Input The first line of the input will be a positive integer t (1 <= t <= 100000). t lines will follow representing each of the t test cases. Each of these lines will contain 25 integers, the elements of each array. Output The output should be of t lines, with exactly one number on each line, the sum of the elements of the corresponding array's maximum sub-array. Example Sample input: 3 8 20 22 97 38 15 0 40 0 75 4 50 7 78 52 12 50 77 91 80 49 49 99 40 17 18 8 57 60 87 17 40 98 43 69 48 4 56 62 0 81 49 31 73 55 79 14 29 93 7 40 67 53 88 30 3 49 13 36 65 52 70 95 23 4 60 11 42 69 24 68 56 1 32 5 Sample output: 214 516 261
question 5 Number Pyramid A number pyramid is a set of numbers arranged in the form of a pyramid. An example of one such pyramid of height 5 is 99 23 75 80 11 34 15 40 72 15 42 84 93 15 66 On travelling down the pyramid from top to bottom, one has to step down either on the left-handside number or the right-hand-side number from the current number. So, mathematically, if the height of the pyramid is n, there can be 2n (2 raised to the power n) different paths possible to reach from the top to the bottom. Out of these 2n paths, the highest-valued path is defined as that path whose elements produce the maximum total. For example, the highest-valued path in the above pyramid is 99 23 75 80 11 34 15 40 72 15 42 84 93 15 66 with the sum being 99 + 75 + 34 + 72 + 93 = 343. Task For a given set of such pyramids, your task is to find the highest-valued path for each pyramid, and report the sum. Input The first line of the input will be a positive integer t (1 <= t <= 10000), the number of test cases. Afterwards, t test cases will follow. The input pattern for each test case will be as following: The first line will contain one positive number n (1 <= n <= 20), the height of the pyramid. After this, n lines will follow. For each i (1 <= i <= n), the i-th line will contain i numbers, the elements of that line in the number pyramid. Output The output will consist of t lines, with each line having exactly one number, the sum of the highestvalued path of the corresponding pyramid. Example Sample input: 3 3 5 2 3 9 7 1 4 68 23 90 45 23 76 10 95 34 26 5 95 35 13 14 76 34 09 23 16 74 33 67 21 76 25 Sample output: 16 276 298 question 6 Factorials In mathematics there is the concept of the factorial of a number. They are symbolised like this n!, pronounced n factorial ( or factorial n). 9! is nine factorial (or factorial nine). The factorial of an integer is the product of all the positive integers less than or equal to it. Factorials get large very rapidly. The factorial of 13 is !13 = 1*2*3*4*5*6*7*8*9*10*11*12*13 = 6227020800. This number already exceeds what can be fit into a 32-bit integer. Obviously, calculating factorials of large numbers isn't very easy. But, that's what computers are for, to do the cumbersome numbercrunching, so that we don't have to do it ourselves! Task Your task is to write a program that computes the factorials of 3-digit numbers. But, as I don't like that huge numbers unless they are on my paycheck, ofcourse, I'll be happy if you just print the sum of the digits of the factorial you find. Input As usual, the first line of the input will contain a single integer t (1 <= t <= 500), the number of test cases. Following it will be t lines, all containing a single positive integer n (1 <= n <= 999). Output The output will contain t lines, with one number on each line, the sum of the digits of the factorial of the corresponding number n. Example Sample input: 4 13 42 100 666 Sample output: 27 189 648 6327 please help me for this question
Where is your attempted code for any of the questions asking for help is one thing but you at least need to show Algorithms a flow chart and finally an attempt at coding yourself Otherwise you don't learn anything This wont help you or anyone else if you try to get other people to do your homework for you
looks like school work to me, this should be under homework help.... and the OP should post what he has already done to solve any of the questions... B. Morse
Hello, It looks indeed as homework. From the sticky in this forum: What have you done upto now to solve the questions? When you show us that we can see where you got stuck. Bertus
Well done Sticky this is uh how pupils get these so called A grade exam results Anyway here is a start to question 1 This is really what you should be showing to the Forum so as to indicate that you are not just looking for answers but you have at least got stuck, need some help , and I think you will find more willing people that will provide information See attached I haven't done your method I think you should at least try and attempt this yourself in plain English if nothing else There is also a flow chart program which I downloaded tonight normally I start with a plain English exorcise so as to at least partially explain how I would attempt something like this and where I'm getting stuck if I needed help Followed by a flow chart then by code or an attempt at some form of code If you unzip the file then you will see a web page open the web page and that will give you a start
The address for this is at http://www.edrawsoft.com/libraries.php Its a free version and its not to bad probably not thebest out there but it will do the JOb or make life a little easier and more professional for you
Made a slight error in the flow chart for you so I'm uploading another one which will make things easier Up late last Night doing this for you so please excuse me I'm not 100% perfect and I make mistakes myself as well
Here is the next stage for you If anyone see's any problems please let me know As I said before I'm not perfect positive criticism accepted with solutions as to how anyone else might improve this