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Given with the points (x1, y1, z1), (x2, y2, z2), (x3, y3, z3) and (x4, y4, z4) and the program must check whether the given points are coplanar or not. Points are said to be coplanar is they lie under same plane and if they are under different-2 planes than the points are not coplanar.Given below is an image containing four points and all are under same plane which is xy plane that means points are coplanarGiven below is an image containing four points and all are under different planes which shows points are not coplanarExampleInput-: x1 = 2, y1 ... Read More
Given with a number and the task is to check whether the input number is a lucky number or not and display the result.What is a Lucky NumberLucky number is the number whose each and every digit is different and if at least one digit is repeating than the number will not be considered as a lucky number.ExampleInput-: n = 1234 Output-: it is a lucky number Explanation-: As there is no repeating digit in a number n so it is a lucky number Input-: n = 3434 Output-: it is not a lucky number Explanation-: In the given number ... Read More
Given with an array of amount invested by multiple person and another array containing the time period for which money is invested by corresponding person and the task is to generate the profit sharing ratio.What is Profit Sharing RatioIn a partnership firm, profits and losses are shared between the partners depending upon the capital invested by them in the business. On the basis of that capital investment percentage we calculate the profit sharing ratio which shows the amount of profit which is to be given to each partner of a business.Formula − Partner 1 = capital invested * time period ... Read More
Given with the positive integer value n and the task is to generate the number of odd days till the given year n.ExampleInput-: days = 500 Output-: number of odd days are: 5 Input-: days = 400 Output-: number of odd days are: 0How to calculate the number of odd days in given number of yearsFor calculating the number of odd days the first thing we need to check is whether the given year is a leap year or not because if it’s a leap year than the number of odd days will get changed. If the year is divisible ... Read More
We are given with the lower limit of variable x, upper limit of variable x, lower limit of variable y, upper limit of variable y, steps taken for corresponding x and steps taken for corresponding y and the task is to generate the double integration and display the result.ExampleInput-: steps for x = 1.2 steps for y = 0.54 lower limit of x = 1.3 upper limit of x = 2.1 lower limit of y = 1.0 upper limit for y = 2.1 Output-: double integration is : 2.1Approach used in the below program is as follows −Input the value ... Read More
Given with an array of numbers ‘n’ and the task is to find the probability of three randomly chosen numbers to be in AP.ExampleInput-: arr[] = { 2, 3, 4, 7, 1, 2, 3 } Output-: Probability of three random numbers being in A.P is: 0.107692 Input-:arr[] = { 1, 2, 3, 4, 5 } Output-: Probability of three random numbers being in A.P is: 0.151515Approach used in the below program is as follows −Input the array of positive integersCalculate the size of the arrayApply the formula given below to find the probability of three random numbers to be in ... Read More
We are given with the value of x and n where, x is the angle for cos and n is the number of terms in the cos(x) series.For Cos(x)Cos(x) is a trigonometric function which is used to calculate the value of x angle.Formula$$\cos (x) = \displaystyle\sum\limits_{k=0}^\infty \frac{(-1)^{k}}{(2k!)}x^{2k}$$For Cos(x) seriesCos(x) = 1 – (x*2 / 2!) + (x*4 / 4!) – (x*6 / 6!) + (x*8 / 8!)……ExampleInput-: x = 10, n = 3 Output-: 0.984804 Input-: x = 8, n = 2 Output-: 0.990266Approach used in the below program is as follows −Input the value of x and nApply the ... Read More
Given an interger n; the task is to find the Catalan Number on that nth position. So, before doing the program we must know what is a Catalan Number?Catlan numbers are the sequence of natural numbers, which occurs in the form of various counting number problems.Catalan numbers C0, C1, C2, … Cn are driven by formula −$$c_{n}=\frac{1}{n+1}\binom{2n}{n} = \frac{2n!}{(n+1)!n!}$$The few Catalan numbers for every n = 0, 1, 2, 3, … are 1, 1, 2, 5, 14, 42, 132, 429, 1430, 4862, …So if we entered n =3 we should get 5 as an output from the programSome of few ... Read More
Given a sting of a big number say num and another big number say m; the task is to print the quotient using divide operation and the remainder of the big number using modulus.The output should be Remainder = xxx; Quotient = yyyLet’s assume we have an input num = string num = "14598499948265358486" and other input m = 487 so the remainder is 430 and quotient is 29976385930729688.ExampleInput: num = “214755974562154868” m = 17 Output: Remainder = 15 quotient = 12632704386009109 Input: num =“214” m = 5 Output: Remainder = 4 Quotient = 42Approach we ... Read More
Given a number n in form of a string; the task is to print that following number in large using hash symbols.Like we have provided a number “1234”The representation of the following number should be −Likewise we want our solution to be printed −ExampleInput: n[] = {“2234”} Output:Input: n[] = {“987”} Output:Approach we will be using to solve the given problem −Take at most 4 digit number a input in a string.Make arrays of every number one by one the large pattern we want for the number.Traverse the string and print every number one by one.AlgorithmStart Step 1 -> ... Read More