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Suppose we have a 2D matrix where these values are present: 0 represents an empty cell. 1 represents a wall. 2 represents a person. Now a person can walk any of the four direction of up, down, left, right otherwise stay in one time unit. We have to find a walkable cell such that it minimizes the time it would take for everyone to meet and return the time. We have to keep in mind that two people can walk through the same empty cell and you can assume there is always some path between any two people.So, if the ... Read More
Suppose we have a list of tree edges in the form [u, v], this indicates there is an undirected edge between u and v. And we also have two values x and y. If we are at node x, and our opponent is at node y. In the first round, we move, then in the next round the opponent moves and so on. The opponent can select to not make a move in a round. We have to find the minimum number of rounds it we need to catch the opponent.So, if the input is like edges = [[0, 1], ... Read More
Suppose we have a list of numbers called row and this is representing socks lying in a row. They are not sorted, but we want to rearrange them so that each pair of socks are side by side like (0, 1), (2, 3), (4, 5), and so on. We have to find the minimum number of swaps required to rearrange them.So, if the input is like row = [0, 5, 6, 2, 1, 3, 7, 4], then the output will be 2, as the row orders are[0, 5, 6, 2, 1, 3, 7, 4][0, 1, 6, 2, 5, 3, 7, ... Read More
Suppose we have a list of numbers called nums, we have to find the sum of the medians of every odd−length sublist of the given list.So, if the input is like nums = [2, 4, 6, 3], then the output will be 23, as the odd−length sublists are − [2], [4], [6], [3], [2, 4, 6], [4, 6, 3], so the sum of the medians is 2 + 4 + 6 + 3 + 4 + 4 = 23To solve this, we will follow these steps −ret := 0for initialize i := 0, when i < size of nums, update ... Read More
Suppose we have a list of coordinates where each element is of the form [x, y], representing Euclidean coordinates. We have to find the smallest squared distance (x1 - x2) 2 + (y1 - y2) 2 between any two provided coordinates.So, if the input is like coordinates = {{1, 2}, {1, 4}, {3, 5}}, then the output will be 4.To solve this, we will follow these steps −Define one map ytorightmostxsort the array coordinatesret := infinityfor each p in cordinates −it = return the value where (p[1] - sqrt(ret)) is in ytorightmostx or the smallest value greater than it from ... Read More
Suppose, we have a list and the power of a list is defined by the sum of (index + 1) * value_at_index over all indices. Alternatively, we can represent it like this −$$\displaystyle\sum\limits_{i=0}^{n-1} (i+1)\times list[i]$$Now, we have a list nums that has N positive integers. We can select any singular value in the list, and move (not swap) it to any position, it can be shifted to the beginning of the list, or to the end. We can also choose to not move any position at all. We have to find the maximum possible final power of the list. The ... Read More
Suppose we have a 2D list of integers called edges which are a representation of an undirected graph. Every row in the input represents an edge [u, v, w] meaning nodes u and v are connected and the edge has the weight w. The graph consists of n nodes from 0 to n-1.The cost of a path is defined here as the product of the number of edges and the maximum weight for any edge in the path. We have to find out the minimum cost possible from node 0 to node n-1, or we declare the answer as -1 ... Read More
Suppose we have a string s which represents an equation of the form x+y=z. We have to find the minimum number of digits that we need to add into s so the equation becomes true.So, if the input is like s = '2+6=7', then the output will be 2.We can turn the equation into "21+6=27" by inserting "1" and "2". So the total number of corrections required is 2.To solve this, we will follow these steps −split s into parts based on "+" character, put left part into A and right part into restsplit rest into parts based on "=" ... Read More
Suppose we are in a programming contest where there are multiple problems but the contest ends when we solve one problem. Now if we have two lists of numbers of the same length called points, and chances. To explain it, here for the ith problem, we have a chances[i] percent chance of solving it for points[i] points. We also have another value k which represents the number of problems we can attempt. The same problem cannot be attempted twice.If we devise an optimal strategy, we will have to find the expected value of the number of points we can get ... Read More
Suppose, we have N items, which are marked as 0, 1, 2, …, N-1. Then, we are given a 2D list of size S called sets. Here, we can purchase the i-th set for the price sets[i, 2], and we receive every item between sets[i, 0] to sets[i, 1]. Also, we have a list of size N called removals, where we can throw away 1 instance of the i-th element for the price removals[i]. So, we have to find out the minimum cost to purchase precisely one of every element from 0 to N-1 inclusive, or the result is -1 ... Read More