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

Given a number as a string and a base; the task is to check whether the given number of is of that given base or not.We have to check the number and the base according to the number system in which there are bases like 2 for a binary number, 8 for an octal number, 10 for decimal number and 16 for a Hexadecimal number. According to this we have to find whether the given number in a string belongs to a particular base or not, If it belongs to a particular base then we have to print “Yes” on ... Read More

Given ‘a’ the First term, ‘d’ the common difference and ‘n’ for the number of terms in a series. The task is to find the nth term of the series.So, before discussing how to write a program for the problem first we should know what is Arithmetic Progression.Arithmetic progression or arithmetic sequence is a sequence of number where the difference between the two consecutive terms is same.Like we have first term i.e a =5, difference 1 and nth term we want to find should be 3. So, the series would be: 5, 6, 7 so the output must be 7.So, ... Read More

Given ‘a’ the First term, ‘r’ the common ratio and ‘n’ for the number of terms in a series. The task is to find the nth term of the series.So, before discussing how to write a program for the problem first we should know what is Geometric Progression.Geometric progression or Geometric sequence in mathematics are where each term after the first term is found by multiplying the previous one with the common ratio for a fixed number of terms.Like 2, 4, 8, 16, 32.. is a geometric progression with first term 2 and common ratio 2. If we have n ... Read More

Given an Url address of any website; the task is to calculate the round trip time of a website.Round Trip Time(RTT) is the total time or the length of a time which is taken to send a signal plus the time taken to receive the acknowledgement of that signal to be received. This time also consist of the propagation times between two points of a signal.An end user can determine his/her round trip time from an IP address by pinging that address.The Round Trip time’ result depends upon the following reasons −The Transmission medium.The presence of Interface in the circuit.Number ... Read More

Given RGB color range in form of integers; the task is to find its appropriate HSV color by converting the RGB color rangeWhat is RGB color modelRGB color model comprised of three colors Red, Green and Blue. RGB model is a color model which is widely used in the display technologies; it is an additive model in which we add these three colors of with different intensities to produce millions of different colors on a display device.What is HSV color model?HSV color model comprises Hue, Saturation, Value also known as HSB (Hue, Saturation, Brightness).HSV is alternative representation of RGB color ... Read More