Suppose we have a given number N that in range (1= j and table[i - j] != -1):             table[i] = max(table[i], table[i - j] + 1)    return table def max_summ(table, n):    if (n < max_val):       return table[n]    else:       t = int((n - max_val) / 4)+ 1       return t + table[n - 4 * t] n = 16 table = pre_calc() print(max_summ(table, n))Input16Output4

Suppose there are n bikes and each can cover 100 km when they are fully fueled. We have to find the maximum amount of distance we can go using these n bikes. Here we can assume that all bikes are similar and a bike consumes 1 litre of fuel to cover 1 km distance. So, if n bikes start from same point and run parallel, we can go only 100 km, in this case our target is to cover maximum distance, with minimum fuel. And minimum wastage of fuel means minimum number of bikes used. If the bikes run serially, ... Read More

Suppose we have an array of pairs A; we have to find the maximum cost for selecting at most K pairs. In this case, the cost of an array of pairs type elements is the product of the sum of first elements of the selected pair and the smallest among the second elements of the selected pairs. As an example, if these pairs are selected (4, 8), (10, 3) and (3, 6), then the cost will be (4+10+3)*(3) = 51, for K=3So, if the input is like A = [(15, 5), (65, 25), (35, 20), (20, 5), (35, 20), (15, ... Read More

Suppose we have a string we have to return the longest possible substring that has exactly k number of unique characters, if there are more than one substring of longest possible length, return any of them.So, if the input is like s = "ppqprqtqtqt", k = 3, then the output will be rqtqtqt as that has length 7.To solve this, we will follow these steps −N := 26Define a function is_ok() . This will take count, kval := 0for i in range 0 to N, doif count[i] > 0, thenval := val + 1return true when (k >= val)From the ... Read More

Suppose we have an array A of n different numbers and another positive integer K, we have to find the longest sub-sequence in the array having Least Common Multiple (LCM) at most K. After than return the LCM and the length of the sub-sequence, following the indexes (starting from 0) of the elements of the obtained sub-sequence. Otherwise, return -1.So, if the input is like A = [3, 4, 5, 6], K = 20, then the output will be LCM = 12, Length = 3, Indexes = [0, 1, 3]To solve this, we will follow these steps −n := size ... Read More

Suppose we have a given string, we have to find the largest sub-string which is a prefix, a suffix and a sub-string of that given string. If there is no such substring, then return -1.So, if the input is like "languagepythonlanguageinterestinglanguage", then the output will be "language"To solve this, we will follow these steps −Define a function get_lps() . This will take stringn := size of stringlong_pref_suff := an array of size n, and fill with 0size := 0, long_pref_suff[0] := 0, i := 1while i < n is non-zero, doif string[i] is same as string[size], thensize := size + ... Read More

Suppose we have an array A of n numbers, where A[i] indicates the number of distinct characters in the prefix of length (i + 1) of a string s, we have to find the lexicographically smallest string that satisfies the given prefix array. All characters will be lowercase English alphabets [a-z]. If there is no such string then return -1.So, if the input is like A = [1, 1, 2, 3, 4], then the output will be aabcd as prefix[0] has 1 distinct character, prefix[1] has 1 distinct character, prefix[2] has 2 distinct characters, prefix[3] has 3 distinct characters, prefix[4] ... Read More

Suppose we have two arrays A and B with n numbers, we have to rearrange the elements of B in itself in a way such that the sequence formed by (A[i] + B[i]) % n after rearranging it is lexicographically smallest. Finally we will return the lexicographically smallest possible sequence.So, if the input is like A = {1, 2, 3, 2}, B = {4, 3, 2, 2}, then the output will be [0, 0, 1, 2]To solve this, we will follow these steps −n := size of aDefine one map my_mapDefine one set my_setfor initialize i := 0, when i ... Read More

Suppose we have a string S; we have to find the lexicographically largest palindromic subsequence of that string.So, if the input is like "tutorialspointtutorial", then the output will be "uu"To solve this, we will follow these steps −ans := blank stringmax_val := s[0]for i in range 1 to size of s, domax_val := maximum of max_val, s[i]for i in range 0 to size of s, doif s[i] is same as max_val, thenans := ans + s[i]return ansExample Let us see the following implementation to get better understanding − Live Demodef largest_palindromic_substr(s):    ans = ""    max_val = s[0]    for i ... Read More

Suppose we have a list in Scala, this list is defined under scala.collection.immutable package. As we know, a list is a collection of same type elements which contains immutable (cannot be changed) data. We generally apply last function to show last element of a list.Using last keywordThe following Scala code is showing how to print the last element stored in a list of Scala.Example import scala.collection.immutable._ object HelloWorld {    def main(args: Array[String]) {       val temp_list: List[String] = List("Hello", "World", "SCALA", "is", "awesome")       println("Elements of temp_list: " + temp_list.last)    } }Output$scala HelloWorld Elements of ... Read More