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Count frequencies of all elements in array in O(1) extra space and O(n) time in C++

Sunidhi Bansal
Sunidhi Bansal
Updated on 11-Mar-2026 1K+ Views

We are given with an array of elements ranging from values 1 to n. Some elements are repeated, and some are missing. The goal is to find the frequencies of all elements in O(n) time and O(1) extra space.InputArr[]= { 1, 2, 2, 3, 4, 4, 4, 5 }Output1→ 1, 2 → 2, 3→ 1, 4→ 3, 5→ 5Explanation − The highest element is 5, the output shows the number of times each element appears in the array.InputArr[]= { 1, 4, 4, 5, 5, 5, 5 }Output1→ 1, 2 →0, 3→ 0, 4→ 2, 5→ 4Explanation − The highest element ...

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Ways to multiply n elements with an associative operation in C++

sudhir sharma
sudhir sharma
Updated on 11-Mar-2026 200 Views

In this problem, we are given an integer n which is the number of elements. Our task is to create a program that counts the number of ways to multiply n elements with the associative operation.Associative operations return the same result irrespective of the manner the numbers are arranged.Let’s take an example to understand the problem, Input3Output12Explanation(x*(y*z)), (x*(z*y)), (y*(x*z)), (y*(z*x)), (z*(x*y)), (z*(y*x)), ((x*y)*z), ((y*x)*z), ((x*z)*y), ((z*x)*y), ((z*y)*x), ((y*z)*x).To solve this problem, we will try to find if there is any relation or any type of series that can be created so that we can generalize our results. Let’s see the ...

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Count index pairs which satisfy the given condition in C++

Sunidhi Bansal
Sunidhi Bansal
Updated on 11-Mar-2026 467 Views

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

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Sum of the elements from index L to R in an array when arr[i] = i * (-1)^i in C++

sudhir sharma
sudhir sharma
Updated on 11-Mar-2026 505 Views

In this problem, we are given two numbers L and R. We also have an array arr[] such that arr[i] = i*(-1)^i. Our task is to create a program to calculate the sum of the element from index L to R in an array when arr[i] = i*(-1)^i.So, we need to find the sum of elements within the range [L, R] of the array.Let’s take an example to understand the problem, Input L = 2 , R = 6Output 4Explanation arr[] = {-1, 2, -3, 4, -5, 6} Sum = 2+ (-3) + 4 + (-5) + 6 = 4A simple solution to ...

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Maximum Sum Increasing Subsequence using Binary Indexed Tree in C++

Ayush Gupta
Ayush Gupta
Updated on 11-Mar-2026 203 Views

In this problem, we are given an array arr[] of N elements. Our task is to create a program to find the maximum Sum Increasing Subsequence using Binary Indexed Tree in C++.Let’s take an example to understand the problem, Inputarr[] = {4, 1, 9, 2, 3, 7}Output13ExplanationMaximum increasing subsequence is 1, 2, 3, 7. Sum = 13Solution ApproachTo solve the problem, we will use the Binary Indexed Tree in which we will insert values and map them to binary indexed tree. Then find the maximum value.ExampleProgram to illustrate the working of our solution, #include using namespace std; int calcMaxSum(int ...

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Maximum Number of Ones in C++

Arnab Chakraborty
Arnab Chakraborty
Updated on 11-Mar-2026 213 Views

Suppose we have a matrix M with dimensions w x h, such that every cell has value 0 or 1, and any square sub-matrix of M of size l x l has at most maxOnes number of ones. We have to find the maximum possible number of ones that the matrix M can have.So, if the input is like w = 3, h = 3, l = 2, maxOnes = 1, then the output will be 4 as in a 3*3 matrix, no 2*2 sub-matrix can have more than 1 one. The best solution that has 4 ones is −101000101To ...

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Maximum sum of absolute difference of any permutation in C++

Ayush Gupta
Ayush Gupta
Updated on 11-Mar-2026 799 Views

In this problem, we are given an array. Our task is to create a program to find the Maximum sum of absolute difference of any permutation in C++.Problem DescriptionWe will be finding all permutation of the elements of the given array. And then finding the sum of the absolute difference of adjacent elements of the array. Lastly we will return the maximum of all sums.Let’s take an example to understand the problem, Inputarr[] = {9, 1, 6, 3}Output17ExplanationAll permutations of the array with sum of absolute difference of adjacent elements. {9, 1, 6, 3}, sum= |9-1| + |1-6| + |6-3| ...

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Count minimum number of "move-to-front" moves to sort an array in C++

Sunidhi Bansal
Sunidhi Bansal
Updated on 11-Mar-2026 1K+ Views

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 ...

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Minimum Time to Build Blocks in C++

Arnab Chakraborty
Arnab Chakraborty
Updated on 11-Mar-2026 249 Views

Suppose we have a list of blocks, if we have blocks[i] = t, this means that the i-th block needs t units of time to be built. A block can only be built by exactly one worker. Single worker can either split into two workers or build a block then go home. These two decisions take some time. The time cost of spliting one worker into two workers is given as a number called split.So, if the input is like blocks = [1, 2], and split = 5, then the output will be 7 as we can split the worker ...

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Count minimum right flips to set all values in an array in C++

Sunidhi Bansal
Sunidhi Bansal
Updated on 11-Mar-2026 352 Views

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. [ ...

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