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Suppose we have a number n, number of faces, and a total value, we have to find the number of ways it is possible to throw n dice with faces each to get total. If the answer is very large mod the result by 10**9 + 7.So, if the input is like n = 2 faces = 6 total = 8, then the output will be 5, as there are 5 ways to make 8 with 2 6-faced dice: (2 and 6), (6 and 2), (3 and 5), (5 and 3), (4 and 4).To solve this, we will follow these ... Read More
Suppose we have a binary tree, we have to find the sum of each of the diagonals in the tree starting from the top to bottom right.So, if the input is likethen the output will be [27, 18, 3] as the diagonals are [12, 15], [8, 10], [3]. So the sum values are [27, 18, 3]To solve this, we will follow these steps −Define a function traverse() . This will take node, numLeft, outputif node is null, thenreturnif numLeft >= size of output , theninsert data of node at the end of outputotherwise, output[numLeft] := output[numLeft] + data of nodeif ... Read More
Suppose we have n x m matrix Mat, we have to sort this Mat diagonally in increasing order from top-left to the bottom right, so that all elements in the diagonals are sorted. So if the input matrix is like −331122121112The output matrix will be −111112221233To solve this, we will follow these steps −Define a method called solve(), this will take si, sj and matrix matn := number of rows and m := number of columnsmake an array called tempi:= si and j := sj, and index := 0while i < n and j < m, doinsert m[i, j] into ... Read More
Suppose two friends Amal and Bimal are playing a game with a sorted list of numbers called nums. In this game in a single turn, Amal chooses any three numbers. Bimal removes one of them, and then Amal removes one of them. The list starts out with an odd number of elements. Here Amla wishes to minimize the number of turns required to make the list contain no repeated elements, Bimal wishes to maximize the number of turns. If Amal and Bimal act optimally, we have to find how many turns are needed for this game.So, if the input is ... Read More
Suppose we have two strings S and T and they are permutations of each other. Suppose there is an operation where we remove either the first or the last character in S and insert it anywhere in the string. Then find the minimum number of operations needed to convert S into T.So, if the input is like s = "zyvxw" t = "vwxyz", then the output will be 3, as these operations are: Remove "w" and insert it after "v" to get "zyvwx" Remove "z" and insert it after "x" to get "yvwxz" Remove "y" and insert it after "x" ... Read More
Suppose we have we have a binary tree, we will repeatedly delete all leaves that have even values. After deleting all, if it has only root with even values, that will be deleted also.So, if the input is likethen the output will beTo solve this, we will follow these steps −Define a function solve() . This will take rootif root is null, thenreturn nullleft of root := solve(left of root)right of root := solve(right of root)if root is leaf and data of root is even, thenreturn nullreturn rootLet us see the following implementation to get better understanding −Exampleclass TreeNode: ... Read More
Suppose we have mapping like 'a' = 1, 'b' = 2, ... 'z' = 26, and we have an encoded message message string, we have to count the number of ways it can be decoded.So, if the input is like message = "222", then the output will be 3, as This can be decoded 3 ways: bbb, bv, and vb.To solve this, we will follow these steps −memo := a list of 0s of size same as message size + 1memo[0] := 1memo[1] := 1 when message[0] is not same as "0" otherwise 0for i in range 2 to size ... Read More
Suppose we have two strings S and T of same length, we have to check whether it is possible to cut both strings at a common point so that the first part of S and the second part of T form a palindrome.So, if the input is like S = "cat" T = "pac", then the output will be True, as If we cut the strings into "c" + "at" and "d" + "ac", then "c" + "ac" is a palindrome.To solve this, we will follow these steps −n := size of ai := 0while i < n and a[i] ... Read More
Suppose we have a 2D matrix where matrix[i] represents the list of prerequisite courses needed to enroll course i. Now, we have to check whether it is possible to take all courses or not.So, if the input is like matrix = [[1], [2], []], then the output will be True, as we can take course 2, then course 1, and then course 0.To solve this, we will follow these steps −Define a function dfs(). This will take iif vis[i] is true, thenreturn falseif chk[i] is true, thenreturn Truevis[i]:= Truefor each j in matrix[i], doif dfs(j) is false, thenreturn Falsevis[i]:= Falsechk[i]:= ... Read More
Suppose we have a list of numbers called nums, we have to find the number of sublists where the first element and the last element are same.So, if the input is like nums = [10, 15, 13, 10], then the output will be 5, as the sublists with same first and last element are: [10], [15], [13], [10], [10, 15, 13, 10].To solve this, we will follow these steps −num_sublists := size of numsd := an empty mapfor each n in nums, dod[n] := d[n] + 1for each number k and corresponding frequency v of elements in d, doif v ... Read More