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Minimum numbers needed to express every integer below N as a sum in C++

Narendra Kumar
Narendra Kumar
Updated on 11-Mar-2026 395 Views

Problem statementWe have an integer N. We need to express N as a sum of K integers such that by adding some or all of these integers we can get all the numbers in the range 1 to N. The task is to find minimum value of KExampleIf N = 8 then final answer i.e. K would be 3If we take integers 1, 2, 3, and 4 then adding some or all of these groups we can get all number in the range 1 to Ne.g. 1 = 1 2 = 2 3 = 3 4 = 4 5 = ...

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Print all valid words that are possible using Characters of Array in C++

sudhir sharma
sudhir sharma
Updated on 11-Mar-2026 346 Views

Ib this problem, we are given a set of words and an array of character and we have to check if the words are possible using the characters of the array.Let’s take an example to understand the problem better −Input : words[] : {‘go’ , ‘hi’ , ‘run’ , ‘on’ , ‘hog’ , ‘gone’}    Char[] : {‘a’ , ‘o’ , ‘h’ , ‘g’} Output : go , hog.Explanation − Out of the words, the words that contain the given characters are - go, hog and rest don’t include characters in the char array.To solve this problem, we will use ...

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Print all possible expressions that evaluate to a target in C++

sudhir sharma
sudhir sharma
Updated on 11-Mar-2026 460 Views

In this problem, we are given a string of integers from 0 to 9 and a target value. We have to print out ways in which we can generate expression using +, -, and * operation which is evaluated to the value equal to target.Let’s take an example to understand the topic better −Input: string = “123” , target= 6 Output: { “1+2+3”, “1*2*3” }To solve this problem, we will be creating expressions by placing all possible binary operators between digits and then checking the result of the expression with the target value.We will pass all values to a recursive ...

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Maximum segment value after putting k breakpoints in a number in C++

Narendra Kumar
Narendra Kumar
Updated on 11-Mar-2026 379 Views

In this problem, we are given a string that denotes a large number and an integer k roar denotes the number of breakpoints. Our task is to create a program that will find the maximum segment value after putting L breakpoints in a number.Here, we have to find the maximum number that can be generated after putting k breakpoint in the number given by the string.Let's take an example to understand the problemInput − string = “45972”, k = 3Output − 97Explanation −All possible number is: 45    9    7    2 4    59    7    2 ...

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Find intersection point of lines inside a section in C++

Arnab Chakraborty
Arnab Chakraborty
Updated on 11-Mar-2026 314 Views

Suppose we have set of lines in the form y = mx + c. There are sections made by this line and the vertical section. We have to find the intersection point present in the given section or not. Suppose the lines are like −L1 = y = x + 2L2 = y = -x + 7L3 = y = -3L4 = y = 2x - 7And the vertical section is given from x = 2 to x = 4.Here intersection points of L1 and L2 are present inside this section, so the answer will be true.To solve this problem, ...

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Print all possible combinations of r elements in a given array of size n in C++

sudhir sharma
sudhir sharma
Updated on 11-Mar-2026 2K+ Views

In this problem, we are given an array of size n and a positive integer r. Our task is to print all possible combinations of the elements of the array of size r.Let’s take an example to understand the problem −Input: {5, 6, 7, 8} ; r = 3 Output : {5, 6, 7}, {5, 6, 8}, {5, 7, 8}, {6, 7, 8}To solve this problem an approach would be fixing elements and then recuring or looping over others to find all combinations. In this, we have to fix first n-r+1 elements only and loop or recur over the rest.Example#include ...

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Maximum size subset with given sum in C++

Narendra Kumar
Narendra Kumar
Updated on 11-Mar-2026 923 Views

Problem statementGiven an array of N elements and sum. We need to find size of maximum size subset whose sum is equal to given sumExampleIf input array is arr = { 2, 3, 5, 10 } and sum = 20 then output will be 4 as −2 + 3 + 5 + 10 = 20 which is equal to given sumAlgorithmWe can use dynamic programming to solve this problem.To count the maximal subset, we use another DP array (called as ‘count array’) where count[i][j] is maximal of.count[i][j-1]. Here current element is not considered.scount[i- X][j-1] + 1. Here X is value ...

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stable_sort() in C++ STL

Ajay yadav
Ajay yadav
Updated on 11-Mar-2026 333 Views

The stable_sort method of STL first sorts the components with name as the key in ascending order and afterward the components are arranged with their segment as the key. Moreover, The stable_sort() calculation is viewed as steady in light of the fact that the overall request of comparable components is kept up. Here is the source code of the C++ program which exhibits the stable_sort() calculation demonstrated as follows;Example#include using namespace std; int main(){    int arr[] = { 11, 15, 18, 19, 16, 17, 13, 20, 14, 12, 10 };    int n = sizeof(arr) / sizeof(arr[0]);    stable_sort(arr, arr + n);    cout

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Maximum spiral sum in Binary Tree in C++

Narendra Kumar
Narendra Kumar
Updated on 11-Mar-2026 278 Views

In this problem, we are given a binary tree. Our task is to create a program that will find the maximum spiral sum in a binary tree in C++.Spiral sum of a binary tree is the sum of nodes that are encountered in the spiral traversal of the binary tree.In the spiral traversal of a tree, the nodes are traversed from the root to the leaf node. The traversal takes place from left to right then for the next level from right to left and so on for the further levels.Example −Output −5Explanation −We will consider the spiral traversal until the ...

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Minimum number with digits as and 7 only and given sum in C++

Narendra Kumar
Narendra Kumar
Updated on 11-Mar-2026 299 Views

Problem statementLucky numbers are the positive integers whose decimal representations contain only the lucky digits 4 and 7. The task is to find minimum lucky number has the sum of digits equal to n.ExampleIf sum = 22 then lucky number is 4477 as 4 + 4 + 7 + 7 = 22Algorithm1. If sum is multiple of 4, then result has all 4s. 2. If sum is multiple of 7, then result has all 7s. 3. If sum is not multiple of 4 or 7, then we can subtract one of them till sum becomes multiple of other.Example#include ...

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