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Suppose we have one octal number. We have to check whether the decimal representation of the given octal number is divisible by 7 or not.So, if the input is like n = 61, then the output will be True as the decimal representation of 61 is 6*8 + 1 = 48 + 1 = 49 which is divisible by 7.So, if the input is like n = 61, then the output will be True as the decimal representation of 61 is 6*8 + 1 = 48 + 1 = 49 which is divisible by 7.To solve this, we will follow ... Read More
Suppose we have a number n, we have to find its total number of divisors are even or odd.So, if the input is like n = 75, then the output will be Even, as the divisors are [1, 3, 5, 15, 25, 75].To solve this we shall follow one simple and efficient approach. We have observed that when a number is perfect square then only it has odd number of divisors. So if the number is not perfect square then it will have even divisors. So here we will only check whether the number is perfect square or not and ... Read More
Suppose we have two bracket sequences s and t with only these characters '(' and ')'. We have to check whether the concatenated string of s and t is balanced or not. The concatenation can be done by s | t or t | s.So, if the input is like s = "()()))", t = "()(()(", then the output will be True because if we concatenate t | s, then we will get "()(()(()()))", which is balanced.To solve this, we will follow these steps −Define a function is_balanced_parenthesis() . This will take stringstack := a new listfor i in range ... Read More
Suppose we have two strings s and t, we have to check whether we can generate t by swapping the character of the s.So, if the input is like s = "worldlloeh" t = "helloworld", then the output will be True as we can swap characters from "worldlloeh" to make "helloworld".To solve this, we will follow these steps −s_len := size of s, t_len := size of tif s_len is not same as t_len, thenreturn Falsefreq := a map to store all characters and their frequencies in sfor i in range 0 to t_len, dofreq[t[i]] := freq[t[i]] - 1if freq[t[i]] ... Read More
Suppose we have a string s, we have to check whether characters of the given string can be shuffled to make a palindrome or not.So, if the input is like s = "raaecrc", then the output will be True as we can rearrange this to "racecar" which is a palindrome.To solve this, we will follow these steps −freq := a map to store all characters and their frequencies in sodd_count := 0for each element i in the list of all values of freq, doif i is odd, thenodd_count := odd_count + 1if odd_count > 1, thenreturn Falsereturn TrueLet us see ... Read More
Suppose we have a lowercase string; we have to check whether we can split the string from middle which will give two halves having at least one-character difference between two sides. It may hold different characters or different frequency of each character. If the string is odd length string, then ignore the middle element and check for the remaining elements.So, if the input is like s = "helloohekk", then the output will be True as "helloohekk" so left part is "hello" right part is "ohekk" left and right are different.To solve this, we will follow these steps −left_freq := an ... Read More
Suppose we have an array of numbers called nums. We have to check whether there exists any subset of the nums whose bitwise AND is a power of two or not.So, if the input is like nums = [22, 25, 9], then the output will be True, as a subset {22, 9} the binary form is {10110, 1001} the AND of these two is 10000 = 16 which is power of 2.To solve this, we will follow these steps −MAX := 32 considering there are 32 bits numbers at maxDefine a function solve() . This will take numsif size of ... Read More
Suppose we have a positive number n, we have to check whether in the bit pattern of the given number n the count of continuous 1s are increasing from left to right or not.So, if the input is like n = 1775, then the output will be True, as the binary representation of n is 11011101111, so number of continuous 1s are [2, 3, 4] which are increasingTo solve this, we will follow these steps −bits_pattern := a new list of bits of nbit_count := size of bits_patternp_cnt := 0, c_cnt := 0i := 0while i < bit_count, doif bits_pattern[i] ... Read More
Suppose we have two numbers x and y and a given range (left, right). We have to check whether all bits in range left to right in both the given numbers are complement of each other or not. We have to keep in mind that from right to left, so the least significant bit is considered to be at first position.So, if the input is like x = 41 y = 54 left = 2 right = 5, then the output will be True, as binary representation of 41 and 54 are 101001 and 110110. The bits in range 2 ... Read More
Suppose we have an array n that represents a binary representation of any number. We have to check whether its binary representation is divisible by three or not by using Deterministic Finite Automata DFA.So, if the input is like n = [1, 1, 0, 0] (binary of 12), then the output will be True.To solve this, we can construct DFA like below −The approach is simple when a number is divisible by 3 then the remainder will be 0, if not then remainder will be 1 or 2. There are three states for these three remainders. The initial state is ... Read More