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Remove 9 in C++

Arnab Chakraborty
Arnab Chakraborty
Updated on 11-Mar-2026 313 Views

Suppose we have an integer n, we have to return nth integer after following this operation: Start from integer 1, remove any integer that contains 9 such as 9, 19, 29... So now, we will have a new integer sequence like 1, 2, 3, 4, 5, 6, 7, 8, 10, 11, ... We have to keep in mind that 1 will be the first integer.So, if the input is like 9, then the output will be 10To solve this, we will follow these steps −ret := 0s := 1while n is non-zero, do −ret := ret + (n mod 9) ...

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Word formation using concatenation of two dictionary words in C++

sudhir sharma
sudhir sharma
Updated on 11-Mar-2026 296 Views

In this problem, we are given a dictionary and a word. Our task is to check if the given wors can be formed using the concatenation of two dictionary words.While forming given words repetition of words is not legal.Let’s take an example to understand the problem, Inputdictionary = {“hello”, “tutorials”, “program” , “problem”, “coding”, “point”} word = “tutorialspoint”OutputyesExplanationtutorialspoint is created using tutorials and point.To solve this problem, we will store all elements of the dictionary in a prefix tree commonly known as a trie. And then search for the prefix of the word in the trie, if found split it ...

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Queries on count of points lie inside a circle in C++

Ayush Gupta
Ayush Gupta
Updated on 11-Mar-2026 734 Views

In this problem, we are given n points that lie of a 2D plane, each coordinate is (x, y). Our task is two solve queries. For each query, we are given an integer R. We need to find the count of points lying inside the circle, taking the circle’s center at origin and radius R.Problem descriptionFor each query, we need to find the total number of points out of n points that lie inside the circle (i.e. inside the circumference) of radius R and center point origin (0, 0).Let’s take an example to understand the problem betterInputn = 4 2 ...

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K Empty Slots in C++

Arnab Chakraborty
Arnab Chakraborty
Updated on 11-Mar-2026 474 Views

Suppose we have N bulbs in a row and they are numbered from 1 to N. At first, all the bulbs are off. We can turn on exactly one bulb everyday until all bulbs are on after N days. If we have an array bulbs of length N where bulbs[i] = x this indicates that on the (i+1)th day, we will turn on the bulb at position x. If we have another integer K, such that out the minimum day number such that there exists two turned on bulbs that have exactly K bulbs between them that are all off. ...

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Woodall Number in C++

sudhir sharma
sudhir sharma
Updated on 11-Mar-2026 393 Views

In this problem, we are given a number and our task is to check if the number is Woodall number or not.Woodall number is a special type of number which is of the form, Wn = n.2n -1First 5 Woodall numbers are 1, 7, 23, 63, 159Let’s take an example to understand the problem, InputX = 159OutputYesTo solve this problem, we will observe the number, if the number is even then it cannot be Woodall and then check for the number. To check, add the number by 1 and recursively divide the number by 2. after each division count the ...

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Count Balanced Binary Trees of Height h in C++

Sunidhi Bansal
Sunidhi Bansal
Updated on 11-Mar-2026 504 Views

We are given with the height H of a binary tree. The goal is to find the number/count of balanced Binary Trees of given height.A binary tree − is a tree data structure in which each node has at most two children, which are the left child and the right child.Height-balanced binary tree − is defined as a binary tree in which the depth of the two subtrees of every node differ by 1 or 0 only. That is the height of the left subtree and the right subtree at every node has a maximum difference of 1.Following figure contains ...

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Queries on number of Binary sub-matrices of Given size in C++

Ayush Gupta
Ayush Gupta
Updated on 11-Mar-2026 205 Views

In this problem, we are given a binary matrix bin[][] of size nXm. Our task is to solve all q queries. For query(x, y), we need to find the number of submatrix of size x*x such that all the elements of array y (binary number).Problem descriptionHere, we need to count the total number of sub-matrix of a given size that consists of only one of the two bits i.e. sub-matrix will all elements 0/1.Let’s take an example to understand the problem, Inputn = 3 , m = 4 bin[][] = {{ 1, 1, 0, 1} { 1, 1, 1, 0} ...

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Maximum and Minimum Product Subsets in C++

Sunidhi Bansal
Sunidhi Bansal
Updated on 11-Mar-2026 504 Views

We are given with an array of integers of size N. The goal here is to find the Maximum and Minimum Product Subsets. We will do this by taking two product variables, one for minimum product found so far minProd and other for maximum product found so far, maxProd.While traversing the array we will multiply each element with both minProd and maxProd. Also keep a check on previous maximum product, previous minimum product, current maximum product, current minimum product and the current element itself.InputArr[]= { 1, 2, 5, 0, 2 }OutputMaximum Product: 20 Minimum Product: 0Explanation − Starting from the ...

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Aho-Corasick Algorithm for Pattern Searching in C++

sudhir sharma
sudhir sharma
Updated on 11-Mar-2026 934 Views

In this problem, we are given an input string and an array arr[]. Our task is to find all occurrences of all words of the array in the string. For this, we will be using the Aho-Corasick Algorithm for Pattern Searching.String and pattern searching is an important thing in programming. And in programming, the better the algorithm the more practical uses it can have. Aho-Corasick algorithm is a very important and powerful algorithm that makes string searching easy. It is kind of a dictionary matching algorithm, matching all the strings simultaneously. The algorithm uses the Trie data structure for its ...

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Ways to write N as sum of two or more positive integers in C++

sudhir sharma
sudhir sharma
Updated on 11-Mar-2026 607 Views

In this problem, we are given an integer n. Our task is to find the total number of ways in can be expressed as sum of two or more positive integers.Let’s take an example to understand the problem, InputN = 4Output5Explanation4 can be written as the sum in these ways, 4, 3+1, 2+2, 2+1+1, 1+1+1+1To solve this problem, we will use Euler’s recurrence formula. For a number n the total number of ways it can be generated p(n) by, Σ∞n=0 p(n)xn = Π∞k=1 (1/(1-xk ))Using this formula, we will derive formula for p(n), p(n) = p(n-1) + p(n-2) - p(n-5) ...

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