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Technical articles with clear explanations and examples

Sum of Subsequence Widths in C++

Arnab Chakraborty
Arnab Chakraborty
Updated on 11-Mar-2026 250 Views

Suppose we have an array A of integers, consider all non-empty subsequences of A. For any sequence S, consider the width of S be the difference between the maximum and minimum element of S. We have to find the sum of the widths of all subsequences of A. The answer may be very large, so return the answer modulo 10^9 + 7.So, if the input is like [3, 1, 2], then the output will be 6, this is because the subsequences are like [1], [2], [3], [2, 1], [2, 3], [1, 3], [2, 1, 3] and the widths are 0, ...

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Interesting facts about null in Java

AmitDiwan
AmitDiwan
Updated on 11-Mar-2026 255 Views

There are many facts associated with null in Java. We will discuss a few of them here with examples −The default value of any reference variable in Java is always null.Examplepublic class Demo{    private static Object my_obj;    public static void main(String args[]){       System.out.println("The default value of object my_obj is : " + my_obj);    } }OutputThe default value of object my_obj is : nullA class named Demo defines a static object and the main function that shows the default value of this pre-defined object.The not equal to (!=) and comparison (==) operators can be used ...

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Maximum Frequency Stack in C++

Arnab Chakraborty
Arnab Chakraborty
Updated on 11-Mar-2026 505 Views

Suppose we want to implement one stack called FreqStack, Our FreqStack has two functions −push(x), This will push an integer x onto the stack.pop(), This will remove and returns the most frequent element in the stack. If there are more than one elements with same frequency, then the element closest to the top of the stack is removed and returned.So, if the input is like push some elements like 7, 9, 7, 9, 6, 7, then perform the pop operations four times, then the output will be 7, 9, 7, 6 respectively.To solve this, we will follow these steps −Define ...

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Orderly Queue in C++

Arnab Chakraborty
Arnab Chakraborty
Updated on 11-Mar-2026 283 Views

Suppose there is a string S. All letters in S are in lowercase. Then, we may make any number of moves.Here, in each move, we choose one of the first K letters, and remove it, and place it at the end of the string. We have to find the lexicographically smallest string we could have after any number of moves.So, if the input is like "cabaa" and K = 3, then the output will be "aaabc"To solve this, we will follow these steps −if K > 1, then −sort the array Sreturn Sret := Sn := size of Sfor initialize ...

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Minimum Moves to Equal Array Elements in C++

Arnab Chakraborty
Arnab Chakraborty
Updated on 11-Mar-2026 2K+ Views

Suppose we have an array of size n, we have to find the minimum number of moves required to make all array elements the same, where a move means incrementing n - 1 elements by 1.So, if the input is like [3, 2, 3, 4], then the output will be 4.To solve this, we will follow these steps −n := size of numsif n is same as 0, then −return 0sort the array numsans := 0for initialize i := 0, when i < n, update (increase i by 1), do −ans := ans + nums[i] - nums[0]return ansExample Let us see ...

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Numbers At Most N Given Digit Set in C++

Arnab Chakraborty
Arnab Chakraborty
Updated on 11-Mar-2026 246 Views

Suppose we have one sorted set of digits D, a non-empty subset of {'1', '2', '3', '4', '5', '6', '7', '8', '9'} except 0. Now, we will write some numbers using these digits, using each digit as many times as we want. So, if D = {'2', '3', '7'}, we may write numbers such as '23', '771', '2372327'.Now we have to find the number of positive integers that can be written that are less than or equal to N.So, if the input is like D = [2, 3, 4, 7], N = 100, then the output will be 20, as ...

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Assign Cookies in C++

Arnab Chakraborty
Arnab Chakraborty
Updated on 11-Mar-2026 812 Views

Suppose we are trying to distribute some cookies to children. But, we should give each child at most one cookie. Now each child i has a greed factor gi, which is the minimum size of a cookie that the child will be content with; and each cookie j has a size sj. When sj >= gi, we can assign the cookie j to the child i, and the child i will be content. Our goal is to maximize the number of content children and output the maximum number.So, if the input is like [1, 2], [1, 2, 3], then the ...

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Valid Permutations for DI Sequence in C++

Arnab Chakraborty
Arnab Chakraborty
Updated on 11-Mar-2026 838 Views

Suppose we have a string S. This is a string of characters from the set {'D', 'I'}. (D means "decreasing" and I means "increasing")Now consider a valid permutation is a permutation P[0], P[1], ..., P[n] of integers {0 to n}, such that for all i, it meets these rules:If S[i] == 'D', then P[i] > P[i+1];Otherwise when S[i] == 'I', then P[i] < P[i+1].We have to find how many valid permutations are there? The answer may be very large, so we will return using mod 10^9 + 7.So, if the input is like "IDD", then the output will be 3, ...

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Super Palindromes in C++

Arnab Chakraborty
Arnab Chakraborty
Updated on 11-Mar-2026 591 Views

Suppose we have a positive integer N, that is said to be a superpalindrome if it is a palindrome, and it is also the square of a palindrome. Now consider we have two positive integers L and R we have to find the number of superpalindromes in the inclusive range of [L, R].So, if the input is like L = 5 and R = 500, then the output will be 3, the superpalindromes are 9, 121, 484.To solve this, we will follow these steps −Define a function helper(), this will take x, m, M, lb, ub, if x > ub, ...

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Is an array a primitive type or an object in Java?

AmitDiwan
AmitDiwan
Updated on 11-Mar-2026 2K+ Views

Array is considered to be an object in Java. The reason behind this is that an array can be created using the ‘new’ keyword. The ‘new’ keyword/operator is always used to create an object. This is how an array is perceived as an object.The direct parent class or super class of any array is the ‘Object’ class. Every array type in Java belongs to a certain class. This indicates that there are explicit classes for integer array types, float array types, double array types, and so on.Arrays can be dynamically created, and be assigned variables as well.Let us see an ...

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