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C++ Articles - Page 436 of 586
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Given a string containing the polynomial term, the task is to evaluate the derivative of that polynomial.What is a Polynomial?Polynomial comes from two words: - “Poly” which means “many” and “nomial” means “terms”, which comprises many terms. Polynomial expression is an expression containing variables, coefficients and exponents, which only involves operations such as, addition, multiplication and subtraction of variable(s).Example of polynomialx2+x+1Derivative of the polynomial p(x) = mx^n will be −m * n * x^(n-1)ExampleInput: str = "2x^3 +1x^1 + 3x^2" val = 2 Output: 37 Explanation: 6x^2 + 1x^0 + 6x^1 Putting x = 2 6*4 + ... Read More
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Given a number n; the task is to find the Mobius function of the number n.What is Mobius Function?A Mobius function is number theory function which is defined by$$\mu(n)\equiv\begin{cases}0\1\(-1)^{k}\end{cases}$$n= 0 If n has one or more than one repeated factorsn= 1 If n=1n= (-1)k If n is product of k distinct prime numbersExampleInput: N = 17 Output: -1 Explanation: Prime factors: 17, k = 1, (-1)^k 🠠(-1)^1 = -1 Input: N = 6 Output: 1 Explanation: prime factors: 2 and 3, k = 2 (-1)^k 🠠(-1)^2 = 1 Input: N = 25 Output: 0 Explanation: Prime factor is ... Read More
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Problem statementGiven an array and two numbers M and K. We need to find sum of max M subarrays of size K (non-overlapping) in the array. (Order of array remains unchanged). K is the size of subarrays and M is the count of subarray. It may be assumed that size of array is more than m*k. If total array size is not multiple of k, then we can take partial last array.ExampleIf Given array is = {2, 10, 7, 18, 5, 33, 0}. N = 7, M = 3 and K = 1 then output will be 61 as subset ... Read More
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Problem statementGiven a list of permutations of any word. Find the missing permutation from the list of permutations.ExampleIf permutation is = { “ABC”, “ACB”, “BAC”, “BCA”} then missing permutations are {“CBA” and “CAB”}AlgorithmCreate a set of all given stringsAnd one more set of all permutationsReturn difference between two setsExample Live Demo#include using namespace std; void findMissingPermutation(string givenPermutation[], size_t permutationSize) { vector permutations; string input = givenPermutation[0]; permutations.push_back(input); while (true) { string p = permutations.back(); next_permutation(p.begin(), p.end()); if (p == permutations.front()) break; ... Read More
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Problem statementGiven two integer arrays even [] and odd [] which contains consecutive even and odd elements respectively with one element missing from each of the arrays. The task is to find the missing elements.ExampleIf even[] = {10, 8, 6, 16, 12} and odd[] = {3, 9, 13, 7, 11} then missing number from even array is 14 and from odd array is 5.AlgorithmStore the minimum and the maximum even elements from the even[] array in variables minEven and maxEvenSum of first N even numbers is N * (N + 1). Calculate sum of even numbers from 2 to minEven ... Read More
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Problem statementGiven a Tree where every node contains variable number of children, convert the tree to its mirrorExampleIf n-ary tree is −Then it’s mirror is −Example Live Demo#include using namespace std; struct node { int data; vectorchild; }; node *newNode(int x) { node *temp = new node; temp->data = x; return temp; } void mirrorTree(node * root) { if (root == NULL) { return; } int n = root->child.size(); if (n < 2) { return; } for (int i = 0; i < ... Read More
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Problem statementGiven an array of integers. Find the pair in an array which has minimum XOR valueExampleIf arr[] = {10, 20, 30, 40} then minimum value pair will be 20 and 30 as (20 ^ 30) = 10. (10 ^ 20) = 30 (10 ^ 30) = 20 (10 ^ 40) = 34 (20 ^ 30) = 10 (20 ^ 40) = 60 (30 ^ 40) = 54AlgorithmGenerate all pairs of given array and compute XOR their valuesReturn minimum XOR valueExample Live Demo#include using namespace std; int getMinValue(int *arr, int n) { int minValue = INT_MAX; for (int i = 0; i < n; ++i) { for (int j = i + 1; j < n; ++j) { minValue = min(minValue, arr[i] ^ arr[j]); } } return minValue; } int main() { int arr[] = {10, 20, 30, 40}; int n = sizeof(arr) / sizeof(arr[0]); cout
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Problem statementGiven two integer p and q, the task is to find the minimum possible number x such that q % x = 0 and x % p = 0. If the conditions aren’t true for any number, then print -1.ExampleIf p = 3 and q = 66 then answer is 3 as: 66 % 3 = 0 3 % 3 = 0AlgorithmIf a number x satisfies the given condition, then it’s obvious that q will be divided by p i.e. q % p = 0 because x is a multiple of p and q is a multiple of xSo ... Read More
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Problem statementGiven a array of n positive elements we need to find the lowest possible sum of max and min elements in a subarray given that size of subarray should be greater than equal to 2.ExampleIf arr[] = {10, 5, 15, 7, 2, 1, 3} then sum of “max + min” is 3 when we add “2 + 1”.AlgorithmAdding any element to a subarray would not increase sum of maximum and minimum.Since the max of an array will never decrease on adding elements to the array. It will only increase if we add larger elements. So it is always optimal ... Read More
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Problem statementGiven an array of integers, the task is to find the AND of all elements of each subset of the array and print the minimum AND value among all those.ExampleIf arr[] = {1, 2, 3, 4, 5} then (1 & 2) = 0 (1 & 3) = 1 (1 & 4) = 0 (1 & 5) = 1 (2 & 3) = 2 (2 & 4) = 0 (2 & 5) = 0 (3 & 4) = 0 (3 & 5) = 1 (4 & 5) = 4AlgorithmThe minimum AND value of any subset of the array will be ... Read More