Programming Articles

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Minimum Number of Taps to Open to Water a Garden in C++

Arnab Chakraborty
Arnab Chakraborty
Updated on 11-Mar-2026 427 Views

Suppose there is a one-dimensional garden on the x-axis. The starting position of the garden is 0, and ending position is n. There are n + 1 taps located at points [0, 1, ..., n] in the garden. If we have an integer n and an integer array ranges of length n + 1 where ranges[i] is the i-th tap can water the area [i - ranges[i], i + ranges[i]] when that area is open.We have to find the minimum number of taps that should be open to water the whole garden, if there is no possible solution, then return ...

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Maximal Rectangle in C++

Arnab Chakraborty
Arnab Chakraborty
Updated on 11-Mar-2026 517 Views

Suppose we have a 2D binary matrix where 0s and 1 values are present. We have to find the largest rectangle containing only 1s and return its area.To solve this, we will follow these steps−Define a function called getAns, this will take array acreate stack st, i := 0, ans := 0while i < size of a, thenif stack is empty or a[i] >= top of stack, then insert i into st, increase i by 1otherwise −height := a[top of stack], delete from stackwidth := i when stack is empty, otherwise i – top of st – 1area := height ...

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Interleaving String in C++

Arnab Chakraborty
Arnab Chakraborty
Updated on 11-Mar-2026 573 Views

Suppose we have three strings s1, s2 and s3. Then check whether s3 is formed by interleaving s1 and s2 or not. So if the strings are “aabcc”, s2 = “dbbca”, and s3 is “aadbbcbcac”, then the result will be true.To solve this, we will follow these steps −Define one method called solve(), this will take s1, s2, s3 and one 3d array dp, then i, j, kif i = 0 and j = 0 and k = 0, then return trueif dp[i, j, k] is not -1, then return dp[i, j, k]ans := falseif j > 0 and k ...

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Minimum Difficulty of a Job Schedule in C++

Arnab Chakraborty
Arnab Chakraborty
Updated on 11-Mar-2026 420 Views

Suppose we want to schedule a list of tasks in d days. The tasks are dependent so, to work on the i-th task, we have to finish all the tasks j where 0 0, then −return 1^6if dp[idx, k] is not equal to -1, then −return dp[idx, k]maxVal := 0ret := inffor initialize i := idx, when i < size of v, update (increase i by 1), do −maxVal := maximum of v[i] and maxValret := minimum of ret and maxVal + solve(v, i + 1, k - 1, dp)dp[idx, k] := retreturn retFrom the main method do the ...

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New 21 Game in C++

Arnab Chakraborty
Arnab Chakraborty
Updated on 11-Mar-2026 463 Views

Suppose Rima plays the following game, that is loosely based on the card game "21". So Rima starts with 0 points, and draws numbers while she has less than K points. Now, during each draw, she gains an integer number of points randomly from the range [1, W], where W is given, and that is an integer. Now each draw is independent and the outcomes have equal probabilities. Rima stops drawing numbers when she gets K or more points. We have to find the probability that she has N or less points?So if N = 6, K is 1 and ...

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Recover Binary Search Tree in C++

Arnab Chakraborty
Arnab Chakraborty
Updated on 11-Mar-2026 420 Views

Suppose we have one binary search tree, now consider two elements of this BST is swapped, so we have to recover this binary search tree.So if the given tree is like below (first one), the recovered tree will be (second one) −To solve this, we will follow these steps −Define some prev, first, second reference for nodesDefine one method called findProblem(), this will take nodeif node is null, then returncall findProblem(left of node)if prev is not null and value of prev > value of node, thenif first is null, then first = prevsecond := nodeprev := nodecall findProblem(right of node)From ...

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Jump Game V in C++

Arnab Chakraborty
Arnab Chakraborty
Updated on 11-Mar-2026 707 Views

Suppose we have an array of integers called arr and an integer d. In one step we can jump from index i to −i + x where: i + x < n and x in range 1 to d.i - x where: i - x >= 0 and x in range 1 to d.Here n is the size of array. In addition, we can only jump from index i to index j when arr[i] > arr[j] and arr[i] > arr[k] for all indices k between i and j. We can choose any index of the array and start the jumping. ...

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Preorder Traversal of N-ary Tree Without Recursion in C++

sudhir sharma
sudhir sharma
Updated on 11-Mar-2026 312 Views

In this problem, we are given an N-ary Tree. Our task is to print the preorder traversal of the tree.First, let’s learn some basic terminologies, N-ary Tree is a tree in which all nodes can have at max N child nodes. Example 2-ary (binary) tree has max 2 child nodes.Preorder Traversal is a way to traverse nodes of the tree. In this we will first traverse root node then left child and then the right child.Let’s take an example to understand our problemPreorder traversal : 12151499411719To solve this problem, we have to use the stack data structure. We will first ...

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Preorder Successor of a Node in Binary Tree in C++

sudhir sharma
sudhir sharma
Updated on 11-Mar-2026 738 Views

In this problem, we are given a binary tree and a node value. Our task is to print the preorder successor of the node.Binary Tree is a special type of tree in which each root node can have maximum 2 child nodes.Preorder Traversal is a way to traverse nodes of the tree. In this we will first traverse root node then left child and then the right child.Preorder successor node is the node that comes next to the node in the preorder traversal of the node.Let’s take an example to understand the problemInput: 9 Output 0 Explanation: the preorder traversal ...

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Preorder predecessor of a Node in Binary Tree in C++

sudhir sharma
sudhir sharma
Updated on 11-Mar-2026 534 Views

In this problem, we are given a binary tree and a node value. Our task is to print the preorder predecessor of the node.Binary Tree is a special type of tree in which each root node can have maximum 2 child nodes.Preorder Traversal is a way to traverse nodes of the tree. In this we will first traverse root node then left child and then the right child.Preorder predecessor node is the node that comes before the node in the preorder traversal of the node.Let’s take an example to understand the problemInput: 1 Output: 9To solve this problem, a navie approach will ...

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