Frosh commencing their studies at Waterloo have diverse interests, as evidenced by their desire to take various combinations of courses from among those available. University administrators are uncomfortable with this situation, and therefore wish to offer a conformity prize to frosh who choose one of the most popular combinations of courses. How many frosh will win the prize? Input The input begins with an integer 1 ≤ n ≤ 10 000, the number of frosh. For each frosh, a line follows containing the course numbers of five distinct courses selected by the frosh. Each course number is an integer between 100 and 499. Output The popularity of a combination is the number of frosh selecting exactly the same combination of courses. A combination of courses is considered most popular if no other combination has higher popularity. Output a single line giving the total number of students taking some combination of courses that is most popular. Sample Input 1 Sample Output 1 3 100 101 102 103 488 100 200 300 101 102 103 102 101 488 100 Sample Input 2 3 200 202 204 206 208 123 234 345 456 321 100 200 300 400 444 2 Sample Output 2 3

Frosh commencing their studies at Waterloo have diverse interests, as evidenced by their desire to take various combinations of courses from among those available. University administrators are uncomfortable with this situation, and therefore wish to offer a conformity prize to frosh who choose one of the most popular combinations of courses. How many frosh will win the prize? Input The input begins with an integer 1 ≤ n ≤ 10 000, the number of frosh. For each frosh, a line follows containing the course numbers of five distinct courses selected by the frosh. Each course number is an integer between 100 and 499. Output The popularity of a combination is the number of frosh selecting exactly the same combination of courses. A combination of courses is considered most popular if no other combination has higher popularity. Output a single line giving the total number of students taking some combination of courses that is most popular. Sample Input 1 Sample Output 1 3 100 101 102 103 488 100 200 300 101 102 103 102 101 488 100 Sample Input 2 3 200 202 204 206 208 123 234 345 456 321 100 200 300 400 444 2 Sample Output 2 3

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Correct answer will be upvoted else downvoted. number is called 2050-number if it is 2050, 20500, ..., (2050⋅10k for integer k≥0). Given a number n, you are asked to represent n as the sum of some (not necessarily distinct) 2050-numbers. Compute the minimum number of 2050-numbers required for that. Input The first line contains a single integer T (1≤T≤1000) denoting the number of test cases. The only line of each test case contains a single integer n (1≤n≤1018) denoting the number to be represented. Output For each test case, output the minimum number of 2050-numbers in one line. If n cannot be represented as the sum of 2050-numbers, output −1 instead.
During Eid, it is a tradition for every father to give his children money to spend on entertainment. Chef has N coins; denote the value of the coin i by vi. Since today is Eid, Chef gives one coin to each of his two children. He wants the absolute value of the difference between the values of the coins given to the two children to be as small as possible to be as fair as possible. Help the chef by telling him the minimum possible difference between the values of the coins given to the two children. Of course, the chef cannot give the same coin to both children. Note: Please answer in python only Possible input 1 3 142 Required Output 1
Dingyu is playing a game defined on an n X n board. Each cell (i, j) of the board (1 2, he may only go to (2, n).) The reward he earns for a move from cell C to cell D is |value of cell C – value of cell D|. The game ends when he reaches (n, n). The total reward - is the sum of the rewards for each move he makes. For example, if n = 1 2 and A = 3 the answer is 4 since he can visit (1, 1) → (1, 2) → (2, 2), and no other solution will get a higher reward. A. Write a recurrence relation to express the maximum possible reward Dingyu can achieve in traveling from cell (1, 1) to cell (n, n). Be sure to include any necessary base cases. B. State the asymptotic (big-O) running time, as a function of n, of a bottom-up dynamic programming algorithm based on your answer from the previous part. Briefly justify your answer. (You do not need to write down the algorithm itself.)
Suppose you are a participant in a game show. You have a chance to win a motorbike. You are askedto select one of the 500 doors to open; the motorbike is behind one of the 500 doors; the other remaining doorsare losers and have balloons behind them. Once you select a door, the host of the game show, who knowsexactly what is behind each of the door, randomly opens 480 of the other doors all at once that s/he for sureknows are losing doors and have balloons behind them. Then s/he reoffers you – whether you would like toswitch to the other doors or keep your initial or original selection as before. Now in this case, you are goingto make decision based on probabilistic reasoning. Therefore, whenever you are reoffered by the host to dothe selections among the remaining unopened doors, what is the probability of winning for each of theremaining unopened doors (including your original selection)? Do you want to make a switch based on theprobabilistic reasoning? If you are switching, which…
In cpp Room contains nx n cubes (in rows and in columns). Each cube is white or black. You can get out of a white cube by going in one of the four directions horizontally or vertically (but you can't go outside the room). You can enter a black cube, but you can't exit it. There is a mouse and a piece of cheese in the room. The mouse is in a cube (0,0) - white, and the cheese in a cube (n-1, n-1) - black. The mouse can move from cube to cube according to the rules described above. Write a program that finds all the ways in which the mouse can move to the cheese, and if any, display it with ‘*’.
Correct answer will be upvoted else downvoted. Computer science. You are given an integer n. Check if n has an odd divisor, more noteworthy than one (does there exist such a number x (x>1) that n is separable by x and x is odd). For instance, assuming n=6, there is x=3. Assuming n=4, such a number doesn't exist. Input The primary line contains one integer t (1≤t≤104) — the number of experiments. Then, at that point, t experiments follow. Each experiment contains one integer n (2≤n≤1014). If it's not too much trouble, note, that the input for some experiments will not squeeze into 32-cycle integer type, so you should use no less than 64-digit integer type in your programming language. Output For each experiment, output on a different line: "Indeed" if n has an odd divisor, more noteworthy than one; "NO" in any case. You can output "YES" and "NO" regardless (for instance, the strings yEs, indeed, Yes and YES will be perceived as certain).
We have n glasses which can hold a varying amount of liquid. We will say that glass1 is size q1 quarts and glass2 is size q2 quarts, etc. We now give you a size, say x quarts. You must give me a glass of exactly x quarts. You are allowed to fill any glass to exactly its size and to pour any liquid from one glass into another. When you pour, you either have to empty the glass you are pouring from or fill the glass you are pouring into. Can you do it?More concrete example: G1 has size 10 quarts. G2 has size 4 quarts. G3 has size 1 quart. You can get a 5 quart drink by filling G1, pouring 4 quarts from it into G2 and 1 quart of it into G1. After that, G1 has exactly 5 quarts. In the same problem, we could get 8 quarts by filling G2 twice and emptying it into G1 twice. Given This: Write an algorithm to do this and determine its complexity.
A/if y=sin(x), z=cos(x), v=y+x, where (-100 ≤x≤ 100) could you plot y, z, v as shown below: 100 D 20 30 35 15 20 25 30 35 40 45 40 50 0 -50 100 05 0 -0.5 5 10 10 20 50 D A 10 40
This exercise requires to ensure that the input values representingfractions are stored with denominators that are positive integers. You cannotrequire the user to only enter a positive denominator value; the user should notbe inconvenienced by such a restriction. For example, whilst values of 1 / -2are acceptable inputs for a fraction, the output representation should be -1 / 2.Your solution should check the denominator input; if it is negative, swap thesign of both numerator and denominator instance variables. Test thisfunctionality with TestFraction.java class from the following program //Fraction classclass Fraction {//Fraction numeratorint numerator;//Fraction denominatorint denominator;//method to initialize numerator and denominatorpublic void input(int num, int den){numerator = num;//check if denominator is not zeroif (den != 0) {denominator = den;}else {System.out.println("Invalid denominator!!");System.exit(0);}}//method to display fractionpublic void…
Transcribed Image Text Alex is playing Poker card game. He starts with a deck of N cards, where for each valid (i), the ith card has an integer A¡ written on it. Now the dealer starts dealing the cards one by one in the order from card 1 to card N. Alex wins if at some moment in time, the sum of all the cards dealt so far is between X and Y inclusive; if this never happens, Alex loses. You are now helping Alex to win the game, so without him noticing, you will swap some pairs of cards before the game starts. Develop a python script to find the smallest number of swaps we need so that Alex would win the game, or find that it is impossible to make Alex win. Display a single line containing one integer i.e., the smallest required number of swaps or -1 if Alex cannot win.
Program a simplified Galton board in python. It is required that: The user must select the number of rows n of the board The distribution resulting from dropping the beads should be displayed on the screen. Display an animation where the number of rows n increases over time.All resulting distributions must be scaled to the interval [0, 1], so that it is possible toappreciate the convergence to the normal distribution. Consider n from 1 to 80.
Professor X wants his students to help each other in the chemistry lab. He suggests that every student should help out a classmate who scored less marks than him in chemistry and whose roll number appears after him. But the students are lazy and they don't want to search too far. They each pick the first roll number after them that fits the criteria. Find the marks of the classmate that each student picks. If a student is unable to find anyone print -1. Note: one student may be selected by multiple classmates.