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Page 1299 of 2109
Count even length binary sequences with same sum of first and second half bits in C++
We are given several bits n as input for a binary sequence. The goal here is to find the binary sequence of length 2n such that the sum of its first and second half bits is equal. First n bits and next n bits have the same sum.We have a binary sequence so the only choice to put digits at any place is 0 and 1. For n bits at first and second half, no. of possible combinations are −n bits with all zeros (0 1’s) nC0= 1n bits with 1 1’s nC1n bits with 2 1’s nC2..n bits with ...
Read MoreSum of the natural numbers (up to N) whose modulo with K yield R in C++
In this problem, we are given three numbers N, K and R. Our task is to create a program to find the Sum of the natural numbers (up to N) whose modulo with K yield R.We will add all the numbers less than N that satisfy the following condition, i%K == R.Let’s take an example to understand the problem, Input N = 14, K = 4, R = 1Output 28Explanation − All the numbers less than N, that given 1 as remainder when divided by 4 are 1, 5, 9, 13.To solve this problem, we will loop from R to N, and ...
Read MoreCount index pairs which satisfy the given condition in C++
We are given an array of permutation of first N natural numbers. The goal here is to find the index pairs of elements that satisfy the condition mentioned below −If an array is Arr[], then i,j are indexes, count element pairs such that Arr[i]+Arr[j]=max(Arr[x]) such that i
Read MoreCount minimum number of "move-to-front" moves to sort an array in C++
We are given with an array of numbers between 1 to n. The goal here is to find the no. of ‘move to front’ operations required to sort the given array. The array has no repetition. The ‘move to front’ operation picks an element and places at first position, here at index 0.We will traverse the array from end, if element is at the correct position then no move else move is required. For elements from 1 to n, the correct position in the array of element arr[i] should be at index i+1. arr[0] should be 1, arr[1] should be ...
Read MoreCount minimum right flips to set all values in an array in C++
We are given an array of 0s and 1s which represent the state of bulbs that are connected with the same wire in sequence. 0 represents that the bulb is OFF and 1 represents that the bulb is ON. For such a sequence of N bulbs, if the switch of the bulb is pressed then all bulbs on right, (i+1 th till n) change their previous stare, from ON to OFF or from OFF to ON.For the given state of all bulbs, the goal is to find the minimum switches to be pressed to turn all of them ON. [ ...
Read MoreCount minimum steps to get the given desired array in C++
We are given with an array target[] which has numbers in it. We must find the minimum steps in which array with all zeros [0, 0, 0, 0…] can be converted to target using following two operations only −Increment operation − all elements can be incremented by 1, each increment operation can be counted individually in steps. ( for n increments in n elements steps=n )Doubling operation − the whole array is doubled. For all elements it is counted once. ( each doubling operation doubles all elements’ value, count it as 1 in stepsThe goal is to find the minimum ...
Read MoreCount no. of columns that are not sorted in increasing order in C++
We are given an array of strings each of the same length. The goal is to find columns, ( matrix of strings ) that are not sorted in increasing order. For example, each first character in string is compared with the first character of the next string and so on till the last string. If they are not in increasing order, increase the count. Do this for all second characters, then third characters of all strings and so on till the last character.InputArr[]= { “abc”, “bcd”, “def” }OutputCount of columns: 0Explanation − for each column,Column 1: character at index 0 : a
Read MoreMaximum number by concatenating every element in a rotation of an array in C++
We are given a circular array of numbers. A circular array is the one in which the elements are arranged such that the first element is treated as just next to the last element. These are used to implement queues.Each element has the same or different digit count. The goal is to create the highest number possible by concatenating the numbers, using rotation of elements if required. We will do this by finding the highest leftmost digit among all the leftmost digits of all elements. The number with the highest leftmost digit will take the first place.If it is at ...
Read MoreMaximum mirrors which can transfer light from bottom to right in C++
We are given with a square matrix which contains 0’s and 1’s only. 0 represents a blank or empty place and 1 means obstacle. We must find a number of mirrors that can be placed at empty cells such that these mirrors can transfer light from bottom to right. This is possible when, mirror is placed at index [i, j] and for all cells on the right in that particular row ( i ) and cells in the bottom ( j ) in that particular column have no obstacle.If the mirror is at A[i][j], then all A[i+1 to n][ j ...
Read MoreCount Magic squares in a grid in C++
We are given with a matrix of numbers. The goal is to find the number of Magic squares present inside the given matrix.A Magic Square, if taken as a matrix, is a 3X3 matrix which contains the elements ranging from 1 to 9 just like a grid in Sudoku. Properties are −All numbers occur exactly once.Sum of all 9 cells in the matrix is 45.Sum of each row of 3 is 15.Sum of each column of 3 is 15.Sum of diagonals of 3 is 5.To get such sums, 5 is always in the middle of both diagonals.Inputint arr[][]= { { ...
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