![]() The first line contains the number of test cases (10 power 9 + 7).Įach of the next lines contains two space-separated integers n and m. – int: the number of valid wall formations modulo LegoBlocks has the following parameter(s): There are 9 valid permutations in all.Ĭomplete the legoBlocks function in the editor below. These are not all of the valid permutations. ![]() – The wall you build should be one solid structure, so there should not be a straight vertical break across all rows of bricks. Features of the wall are: - The wall should not have any holes in it. – The wall should not have any holes in it. You have an infinite number of 4 types of lego blocks of sizes given as (depth x height x width): d h w 1 1 1 1 1 2 1 1 3 1 1 4 Using these blocks, you want to make a wall of height n and width m. Then: 1) (Almost) every wall of height 1 is going to be non-solid (answer 0). The wall you build should be one solid structure. The wall should not have any holes in it. Using these blocks, you want to make a wall of height N and width M. Assume that you have an infinite number of blocks of each type. Assume that you have an infinite number of blocks of each type.','','Using these blocks, you want to make a wall of height N and width M. If your wall has just one row those blocks are free from each other. You have 4 types of lego blocks, of sizes (1 x 1 x 1), (1 x 1 x 2), (1 x 1 x 3), and (1 x 1 x 4). Thinking in 'Lego', blocks only stick together vertically. all the permutations of the wall are not valid. and remember that wall should not have any holes in it and should be one solid structure and bricks must be laid horizontally. and using these blocks we need to make a wall of height n and width m. It's easy to overlook when you have abstracted the problem. In this HackerRank Lego Blocks problem solution, we have given an infinite number of 4 types of lego blocks of sizes given as (depth x height x width). Using these blocks, you want to make a wall of height and width . I got stucked in a corner case, and then in a corner case of that case. You have an infinite number of 4 types of lego blocks of sizes given as (depth x height x width): d h w You should calculate the number of different combination you can place the bricks on the tiles. You can order them in sequences (one sequence is correct if it has 3 or more consecutive bricks), also you must have at least 1 empty space between 2 sequences. R = r%M # make the computations easierįirst_multiple_input = input().rstrip().In this post, we will solve HackerRank Lego Blocks Problem Solution. Also you have one tile, 1xN (N < 80), on which you should place the LEGO bricks. R -= (r*a) # subtract the number of bad layouts, when the FIRST vertical break in the wall appears at index j ![]() R = for i in range(m+1)] # start with all of them # let r be the number of good layouts that have height n, and width i ![]() Solution: def legoBlocks(n, m):Ī = # a is the number of all walls with width iįor j in range(5,m+1): # this formula executes only when we have width 5 or moreĪ.append((a+a+a+a)%M)įor i in range(m+1): # this will give us all the walls for height n all the permutations of the wall are not valid so we need to find and print the number of valid wall formations. The wall you build should be one solid structure, so there should not be a straight vertical. Using lego blocks of size 1x1x1/2/3/4, how many ways are there are constructing NxM wall so that no whole is there and its solid structured. and remember that wall should not have any holes in it and should be one solid structure and bricks must be laid horizontally. You have an infinite number of 4 types of lego blocks of sizes given as (depth x height x width): Using these blocks, you want to make a wall of height and width. In this HackerRank Lego Blocks problem solution, we have given an infinite number of 4 types of lego blocks of sizes given as (depth x height x width).
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