Programming Articles

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Stone Game III in C++

Arnab Chakraborty
Arnab Chakraborty
Updated on 11-Mar-2026 301 Views

Suppose Amal and Bimal are playing with piles of stones. There are several stones arranged in a row, and each stone has an associated value which is a number given in the array called stoneValue.Amal and Bimal take turns, with Amal starting first. On each player's turn, he/she can take 1, 2 or 3 stones from the first remaining stones in the row.The score of each player is the sum of values of the stones taken. Initially the score is 0. The goal of the game is to end with the highest score, and the winner is the player with ...

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Best Time to Buy and Sell Stock IV in C++

Arnab Chakraborty
Arnab Chakraborty
Updated on 11-Mar-2026 273 Views

Suppose we have an array for which the i-th element is the price of a given stock for the day i. We have to devise an algorithm to find the maximum profit. We can complete at most k transactions. So if the input is like [3, 2, 6, 4, 0, 3] and k = 2, then the output will be 7, as buy on day 2 (when price = 2) and sell on day 3 (when price = 6), profit will be 6-2 = 4. Then buy on day 5 (price is 0) and sell on day 6 (price is ...

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Number of Ways to Paint N × 3 Grid in C++

Arnab Chakraborty
Arnab Chakraborty
Updated on 11-Mar-2026 391 Views

Suppose we have grid of size n x 3 and we want to paint each cell of the grid with exactly one of the three colors. The colors are Red, Yellow or Green. Now there is a constraint that is no two adjacent cells have the same color. We have n the number of rows of the grid. We have to find the number of ways we can paint this grid. The answer may be very large so return it modulo 10^9 + 7.So, if the input is like 1, then the output will be 12To solve this, we will ...

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Restore The Array in C++

Arnab Chakraborty
Arnab Chakraborty
Updated on 11-Mar-2026 441 Views

Suppose there is a program that is used to print the array elements of an array A, but there was a little mistake in the program. In that program there was no white space after each element, so if we have one printed string, can we regenerate the array again? We know the array elements are in range 1 to k.Given the string s and the integer k. We have to find how many number of ways we can restore the array. The answer may be very large so return it modulo 10^9 + 7.So, if the input is like ...

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Shortest Palindrome in C++

Arnab Chakraborty
Arnab Chakraborty
Updated on 11-Mar-2026 824 Views

Suppose we have a string s. We can convert it to palindrome by adding characters in front of it. We have to find the shortest palindrome, that we can find performing this information. So if the string is like “abcc”, then the result will be − "ccbabcc".To solve this, we will follow these steps −n := size of s, s1 := s, s2 := sReverse the string s2s2 := s concatenate "#" concatenate s2Define an array lps of size same as s2j := 0, i := 1while i < size of s2, do −if s2[i] is same as s2[j], then, ...

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Constrained Subsequence Sum in C++

Arnab Chakraborty
Arnab Chakraborty
Updated on 11-Mar-2026 236 Views

Suppose we have an array called nums and an integer k, we have to find the maximum sum of a non-empty subsequence of that array such that for every two consecutive numbers in the subsequence, nums[i] and nums[j], where i < j, the condition j - i k and first element of dq is same as dp[i - k - 1], thendelete front element from dqdp[i] := maximum of dp[i] and (if dq is empty, then dp[i] + 0, otherwise first element of dp + dq[i])while (not dq is empty and last element of dq < dp[i]), do −delete ...

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Number of Ways to Wear Different Hats to Each Other in C++

Arnab Chakraborty
Arnab Chakraborty
Updated on 11-Mar-2026 251 Views

Suppose there are n people and 40 different types of hats those are labeled from 1 to 40. Now a 2D list is given called hats, where hats[i] is a list of all hats preferred by the i-th person. We have to find the number of ways that the n people wear different hats to each other. The answer may come very large, so return the answer modulo 10^9 + 7.So, if the input is like [[4, 6, 2], [4, 6]], then the output will be 4, as there are 4 different ways to choose, these are [4, 6], [6, ...

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Number of Digit One in C++

Arnab Chakraborty
Arnab Chakraborty
Updated on 11-Mar-2026 489 Views

Suppose we have a number n, We have to count the total number of digit 1 appearing in all non-negative numbers less than or equal to n. So if the input is 15, then the output will be 8, because the numbers containing 1 is [1,10,11,12,13,14,15], there are 8 1s.To solve this, we will follow these steps −ret := 0for initializing i := 1, when i

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Find the Kth Smallest Sum of a Matrix With Sorted Rows in C++

Arnab Chakraborty
Arnab Chakraborty
Updated on 11-Mar-2026 379 Views

Suppose we have one m * n matrix called mat, and an integer k, mat has its rows sorted in nondecreasing order. We can choose exactly one element from each row to form an array. We have to find the Kth smallest array sum among all possible arrays.So, if the input is like mat = [[1, 3, 11], [2, 4, 6]]1311246and k = 5, then the output will be 7, as when we choose one element from each row the first k smallest sums are [1, 2], [1, 4], [3, 2], [3, 4], [1, 6]. here the 5th sum is ...

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Sliding Window Maximum in C++

Arnab Chakraborty
Arnab Chakraborty
Updated on 11-Mar-2026 901 Views

Suppose we have an array called nums, there is a sliding window of size k which is moving from the left of the array to the right. We can only see the k numbers in the window. Each time the sliding window moves to the right side by one position. We have to find the max sliding window. So if the input is like −[1, 3, -1, -3, 5, 3, 6, 8] and k is 3, then the window will be like −Window PositionMax13-1-35368313-1-35368313-1-35368313-1-35368513-1-35368613-1-353688To solve this, we will follow these steps −Define an array ansDefine one double ended queue dqif ...

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