Data Structure Articles

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Maximum bitwise OR on of any two Substrings of given Binary String

Shubham Vora
Shubham Vora
Updated on 29-Aug-2023 271 Views

In this problem, we need to find the maximum OR value of any two substrings of the given strings. The first approach is to find all substrings of the given binary string, take OR value of each string, and print the maximum OR value. The other approach is to take the original string as one substring and take another substring starting from left most zero to maximize the OR value. Problem statement - We have given a binary string alpha. We need to find the maximum OR value of any two substrings of the given binary ...

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Count ways to form N Sized Strings with at most two adjacent different pair

Shubham Vora
Shubham Vora
Updated on 29-Aug-2023 317 Views

In this problem, we will count the number of binary strings of size N, containing at most 2 adjacent distinct pair of characters. It means the string should contain, at most, 2 '01' 0r '10' pairs. The first approach is that generate all binary strings, and if any binary string contains less than or equal to 2 distinct pairs of characters, include its count in the result. For the optimal solution, we can count a number of binary strings containing 0, 1, and 2 adjacent different pairs and sum them. Problem statement - We have given a positive ...

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Count Substrings with at least one occurrence of first K alphabet

Shubham Vora
Shubham Vora
Updated on 29-Aug-2023 232 Views

In this problem, we need to count substrings containing a minimum 1 occurrence of all K characters. Here, we will use two different approaches to solve the problem. The first approach takes all substrings of the given string, checks whether the substring contains all K characters, and counts such substrings containing all K characters. The second approach uses the sliding window technique to solve the problem. Problem statement - We have given a string alpha containing N characters. Also, we have given K, representing the string containing multiple occurrences of only the first K alphabetical characters. We ...

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Count of Strings of Array having given prefixes for Q query

Shubham Vora
Shubham Vora
Updated on 29-Aug-2023 554 Views

In this problem, we will count the number of strings containing query string as a prefix for each query string. We can traverse the list of query strings, and for each query, we can find a number of strings containing it as a prefix. Also, we can use the trie data structure to solve the problem. Problem statement – We have given an strs[] and queStr[] string array containing N and Q strings, respectively. We need to count the number of strings from the Strs[] array containing the queStr[i] string as a prefix for each string of ...

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Check if string S can be converted to T by incrementing characters

Shubham Vora
Shubham Vora
Updated on 29-Aug-2023 250 Views

In this problem, we will check whether it is possible to convert string S to T by incrementing the characters of S only once according to the given condition. Here, we can increment any characters by 'I' only once. So, If we need to increment any other character by 'I' times, the value of K should be greater than 26 + I. Problem statement – We have given a string S, T, and positive integer K. We need to convert the string S to T by following the rules below. We can take ...

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Odd numbers in N-th row of Pascal’s Triangle

Rinish Patidar
Rinish Patidar
Updated on 28-Aug-2023 473 Views

The problem statement includes counting the odd numbers in N−th row of Pascal’s triangle. A pascal’s triangle is a triangular array where each row represents the binomial coefficients in the expansion of binomial expression. The Pascal’s triangle is demonstrated as below: 1 1 ...

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Moser-de Bruijn Sequence

Rinish Patidar
Rinish Patidar
Updated on 28-Aug-2023 409 Views

The problem statement includes printing the first N terms of the Moser−de Bruijn Sequence where N will be given in the user input. The Moser−de Bruijn sequence is a sequence consisting of integers which are nothing but the sum of the different powers of 4 i.e. 1, 4, 16, 64 and so on. The first few numbers of the sequence include 0, 1, 4, 5, 16, 17, 20, 21, 64....... The sequence always starts with zero followed by the sum of different powers of 4 such as $\mathrm{4^{0}}$ i.e $\mathrm{4^{1}\:i.e\:4, }$ then sum of $\mathrm{4^{0}\:and\:4^{1}\:i.e\:5}$ and so on. In this ...

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Frequency Measuring Techniques for Competitive Programming

Avinash Gupta
Avinash Gupta
Updated on 28-Aug-2023 382 Views

In this article, we are going to find the different ways to find the frequency of numbers present in an array []. These methods are very useful in doing competitive programming for different problems for different cases. Sometimes, calculating the frequency of elements whether it is numbers or alphabets presented in the array is a complicated task. Various algorithms like Searching, array, divide and conquer can be used to find the repeated elements defined in the array. Note- Take an integer array. Let's explore the article, to know how it can be solved by using Java programming ...

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Vantieghems Theorem for Primality Test

Rinish Patidar
Rinish Patidar
Updated on 28-Aug-2023 263 Views

The problem statement includes using Vantieghems theorem for primality test i.e. we will check for a positive number N which will be user input and print if the number is a prime number or not using the Vantieghems theorem. Vantieghem’s Theorem The Vantieghems theorem for primality states that a positive number, N is a prime number if the product of $\mathrm{2^{i}−1}$ where the value of i ranges from 1 to N−1 is congruent to N modulo $\mathrm{2^{N}−1}$ If both the values are congruent then the number N is a prime number else it is not a prime number. Congruent ...

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Sum of Range in a Series of First Odd then Even Natural Numbers

Rinish Patidar
Rinish Patidar
Updated on 28-Aug-2023 262 Views

The problem statement includes finding the sum of range in a series of first odd numbers then even natural numbers up to N. The sequence consists of all the odd natural numbers from 1 to N and then all the even natural numbers from 2 to N, including N. The sequence will be of size N. We will be provided with a range in the problem for which we need to find out the sum of the sequence within that range, a and b i.e. [a, b]. Here a and b are included in the range. For example, we are ...

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