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C++ Articles
Page 225 of 597
Probability of getting a sum on throwing 2 Dices N times in C++
We are given with the sum and the number of times the pair of dice is thrown as an input and the task is to determine the probability of getting the given sum on throwing a pair of dice N times.Probability is the chances of getting the desired output from the set of data available. The range of probability lie between 0 and 1 where an integer 0 shows the chances of impossibility and 1 indicates certainty.ExampleInput-: sum = 12, N = 1 Output-: Probability = 1/36 Explanation-: if a pair of dice is thrown once then the combinations will ...
Read MoreMaximal Disjoint Intervals in C++
DescriptionGiven a set of N intervals, the task is to find the maximal set of mutually disjoint intervals. Two intervals [i, j] & [k, l] are said to be disjoint if they do not have any point in commonIf intervals are {{10, 20} {23, 35}, {15, 21}, {37, 41}} then maximum non-overlapping disjoint pairs are −{10, 20} {23, 35} {37, 41}Note that we cannot include {15, 21} as it will overlap with {10, 20}Algorithm1. Sort the intervals, with respect to their end points. 2. Traverse the all intervals, if we get two overlapping intervals, then choose the interval with lower ...
Read MoreProduct of lengths of all cycles in an undirected graph in C++
We are given with the undirected as well as unweighted graph as an input and the task is to find the product of the cycles that are formed in the given and display the result.ExampleInputIn the given figure, there are 8 nodes and out of that 5 nodes are forming cycle including 1, 6, 3, 5, 8 and rest of the node are not included in the cycle. So, the length of the cycle is 5 as it includes 5 node therefore product is 5In the given figure, there are 12 nodes and out of that 11(5 +6) nodes are ...
Read MoreProduct of all Subsequences of size K except the minimum and maximum Elements in C++
Given an array arr[n], containing n number of integers and an integer k for defining the size; the task is to print the product of all the subsequences of size k except the minimum and maximum elements.Let us assume we have a set of 4 elements {1, 2, 3, 4} and k as 2 so its subsets will be − {1, 2}, {2, 3}, {3, 4}, {1, 4}, {1, 3}, {2, 4}So excluding the maximum element 4, and minimum element 1, the remaining elements will be −2, 3, 3, 3, 2, product of which will be −2 * 3 * ...
Read MoreProbability of getting at least K heads in N tosses of Coins in C++
Probability is the chances of getting the desired output from the set of data available. The range of probability lie between 0 and 1 where an integer 0 shows the chances of impossibility and 1 indicates certainty.What is probability?Probability in mathematics gives us the tools that tell the uncertainty of the events and reasons. In other words we can say probability deals with calculating the likelihood of a given event’s occurrence, which can be expressed as a number between 1 and 0. For example: the probability of getting a head’s when an unbiased coin is tossed, or getting a 3 ...
Read MoreMaximize a given unsigned number by swapping bits at its extreme positions in C++
Problem statementGiven a number maximize it by swapping bits at its extreme positions i.e. at first and last position, second and second last position and so on.If the input number is 8 then its binary representation is−00000000 00000000 00000000 00001000After swapping bits at extreme positions number becomes −00010000 00000000 00000000 00000000 and its decimal equivalent is: 268435456Algorithm1. Create a copy of the original number 2. If less significant bit is 1 and more significant bit is 0 then swap the bits in the bit from only, continue the process until less significant bit’s position is less than more significant bit’s ...
Read MoreProgram to build DFA that starts and end with 'a' from input (a, b) in C++
Given a DFA string of characters ‘a’ and ‘b’, which should start and end with the character ‘a’ the task is to find whether the string starts and ends with ‘a’ through a DFA.What is DFA(Deterministic Finite Automata)?In theory of computation, a branch of theoretical computer science, Deterministic Finite Automata is a finite state machine which accepts or reject strings of symbols. Deterministic refers to the uniqueness of the computation to run.For finding the string by a DFA and the string should start and end with ‘a’ from the input (a, b). Since there is no concept of memory and ...
Read MoreProduct of every K'th prime number in an array in C++
Given an array arr[n] containing n prime numbers and k; the task is to find the product of every k’th prime number in an array.Like, we have an array arr[] = {3, 5, 7, 11} and k = 2 so the prime number after every k i.e 5 and 11 we have to find their product which will be 5x11 = 55 and print the result as output.What are prime numbers?A prime number is a natural number which can’t be divided by any other number except 1 or the number itself. Some of the prime numbers are 2, 3, 5, ...
Read MoreMaximize array elements up to given numbers in C++
Problem statementGiven an array of integers, a number and a maximum value, the task is to compute the maximum value that can be obtained from the array elements. Every value on the array traversing from the beginning can be either added to or subtracted from the result obtained from the previous index such that at any point the result is not less than 0 and not greater than the given maximum value. For index 0 take the previous result equal to the given number. In case of no possible answer print -1.If arr[] = {3, 10, 6, 4, 5}, number ...
Read MorePrinting Items in 0/1 Knapsack in C++
Given weights and values of n items; the task is to print the items according to 0/1 knapsack for the following weights and values in a knapsack of capacity W, to get the maximum total value in the knapsack.What is 0/1 Knapsack?Knapsack is like a bag with only a fixed size or a bag which can handle a certain amount of weight. Each item which is included in a knapsack have some value(profit) and some weight to it. We have to add those weights which will get us the maximum profit according to the total weight a knapsack could hold.So ...
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