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Articles by Arnab Chakraborty
Page 258 of 377
Uncrossed Lines in C++
Suppose we have written the integers of A and B (in the order they are given) on two separate horizontal lines. Now, we may draw connecting lines: a straight line connecting two numbers A[i] and B[j] such that −A[i] == B[j];The line we draw that does not intersect any other connecting (non-horizontal) line.We have to keep in mind that connecting lines cannot intersect even at the endpoints − each number can only belong to one connecting line. Find the maximum number of connecting lines. So if the input is like [1, 4, 2] and [1, 2, 4], then the output ...
Read MoreLinked List Random Node in C++
Suppose we have a singly linked list, we have to find a random node's value from the linked list. Here each node must have the same probability of being chosen. So for example, if the list is [1, 2, 3], then it can return random node in range 1, 2, and 3.To solve this, we will follow these steps −In the getRandom() method, do the following −ret := -1, len := 1, v := xwhile v is not nullif rand() is divisible by len, then ret := val of vincrease len by 1v := next of vreturn retExample(C++)Let us see ...
Read MoreFind Bottom Left Tree Value in C++
Suppose we have a binary tree. We have to find the left most value of the last row of that tree. So if the tree is like −Then the output will be 7, as the last row is [7, 4], and left most element is 7.To solve this, we will follow these steps −initially define ans and lvl variable as 0define one method called solve(), this will take the tree node, and level, the level is initially 0. This will act as follows −if node is null, then returnif level > lvl, then ans := value of node and lvl ...
Read MoreMinimum Score Triangulation of Polygon in C++
Suppose we have a value N, consider a convex N-sided polygon with vertices labelled A[0], A[i], ..., A[N-1] are in clockwise order. Now suppose we want to triangulate the polygon into N-2 triangles. For each triangle, the value of that triangle is the product of the labels of the vertices, and the total score of the triangulation will be the sum of these values over all N-2 triangles in the triangulation. We have to find the smallest possible total score that we can achieve with some triangulation of the polygon. So if the input is [1, 2, 3], then the ...
Read MoreElimination Game in C++
Suppose we have a list of sorted integers from 1 to n. That is starting from left and ending at right, we have to remove the first number and every other number afterward until we reach the end of the list. We will repeat the previous step again, but this time from right to left, remove the right most number and every other number from the remaining numbers. We will repeat the steps again, alternating left to right and right to left, until one single number remains. We have to find the last number that remains starting with a list ...
Read MoreFind Largest Value in Each Tree Row in C++
Suppose we have a binary tree, we have to find the largest elements of each level of that tree. So if the tree is like −Then the output will be [3, 5, 8]To solve this, we will follow these steps −Define an array called ansdefine a recursive function solve(), this will take tree node, and level, the level is initially 0. this method will act like −if node is null, then returnif level = size of ans, then insert node value into ans, otherwise ans[level] := max of ans[level] and node valuecall solve(left subtree of node, level + 1)call solve(right ...
Read MoreUTF-8 Validation in C++
Suppose we have a list integers representing the data. We have to check whether it is valid UTF-8 encoding or not. One UTF-8 character can be 1 to 4-byte long. There are some properties −For 1-byte character, the first bit is a 0, followed by its unicode code.For n-bytes character, the first n-bits are all 1s, the n+1 bit is 0, followed by n-1 bytes with most significant 2 bits being 10.So the encoding technique is as follows −Character Number RangeUTF-8 octet sequence0000 0000 0000 007F0xxxxxxx0000 0080 0000 07FF110xxxxx 10xxxxxx0000 0800 0000 FFFF1110xxxx 10xxxxxx 10xxxxxx0001 0000 0010 FFFF11110xxx 10xxxxxx 10xxxxxx ...
Read MoreMaximum Binary Tree in C++
Suppose we have an integer array. All elements in that array is unique. A maximum tree building on this array is defined as follow −The root will hold the maximum number in the array.The left subtree is the maximum tree constructed from left side of the subarray divided by the maximum number.The right subtree is the maximum tree constructed from right side of subarray divided by the maximum number.We have to construct the maximum binary tree. So if the input is like: [3, 2, 1, 6, 0, 5], then the output will be −To solve this, we will follow these ...
Read MoreTernary Expression Parser in C++
Suppose we have a string representing arbitrarily nested ternary expressions, we have to calculate the result of the expression. we can always assume that the given expression is valid and only consists of digits 0-9, ?, :, T and F these few characters. (Here T and F represent True and False respectively). There are some properties −The length of the given string must be less than or equal to 10000.Each number will contain only one digit.The conditional expressions group right-to-left.The condition will always be either T or F. So the condition will never be a digit.The result of the expression ...
Read MoreRobot Bounded In Circle C++
Suppose we have an infinite plane, a robot initially stands at position (0, 0) and faces north. The robot can receive one of three instructions −G − go straight 1 unit;L − turn 90 degrees to the left direction;R − turn 90 degrees to the right direction.The robot performs the instructions given in order, Instructions are repeated forever. We have to check whether there exists a circle in the plane such that the robot never leaves the circle. So if the input is like [GGLLGG], then the answer will be true. from (0, 0) to (0, 2), it will loop ...
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