Suppose we have an array of unsorted numbers called nums. We have to check whether it contains contiguous values or not, it should support negative numbers also.So, if the input is like nums = [-3, 5, 1, -2, -1, 0, 2, 4, 3], then the output will be true as the elements are 3, 4, 5, 6, 7, 8.To solve this, we will follow these steps −size := size of numsinit_term := inffor i in range 0 to size, doif nums[i] < init_term, theninit_term := nums[i]ap_sum := quotient of ((size * (2 * init_term + (size - 1) * 1)) ... Read More
Suppose, we are given a set of intervals that consists of values (time1, time2) where time1 represents the starting time, and time2 represents the ending time of an event. Our task is to check whether any of these intervals overlap any other interval in this set. If any of the intervals overlap, we return the result as True, otherwise we return False.So, if the input is like [(4, 7), (5, 11), (7, 11), (5, 8)] then the output will be True.To solve this, we will follow these steps −sort the list inputArrfor i in range 1 to size of inputArr, ... Read More
Suppose, we have two positive integers n and m, such that 2 ≤ n ≤ 1018 and 2 ≤ m ≤ n. Our goal is to find out if there are any all-digit-permutations of the number n; so that it is equal to some power of m. If there is one, we state that there exists an all-digit-permutation of n that is equal to a power of m, otherwise we state the previous statement as false.For example, we are given n = 7182 and m = 12. As 1728 is an all-digit-permutation of 7182 and 1728 = 12^3, we state ... Read More
Suppose, we are given a number and we have to check whether the number is divisible by 17.So, if the input is like 99943, then the output will be Divisible.We will solve this problem using the repeated subtraction method, where we extract the last digit of the number and subtract it 5 times from the number until we get a two-digit number that is divisible by 17.To solve this, we will follow these steps −while number is divisible by 100, dolast_digit := number mod 10number := floor value of (number divided by 10)number := number - last_digit * 5return true ... Read More
Suppose we have a number n, we have to check whether n can be expressed as a sum of two semi-primes or not.As we know the semi-prime is a number if it can be expressed as product of two primes number. First few semi-prime numbers are (1 - 100 range): 4, 6, 9, 10, 14, 15, 21, 22, 25, 26, 33, 34, 35, 38, 39, 46, 49, 51, 55, 57, 58, 62, 65, 69, 74, 77, 82, 85, 86, 87, 91, 93, 94, 95.So, if the input is like n = 108, then the output will be True as this ... Read More
Suppose we have an array called nums represents an encoding of a binary string of size k, we have to check whether given encoding uniquely finds a binary string or not. Here the encoding has counts of contiguous 1s which are separated by single 0s.So, if the input is like nums = [4, 2, 3] k = 11, then the output will be True as there is a binary string like 11110110111 of k = 11.To solve this, we will follow these steps −total := sum of all elements in numstotal := total + size of nums - 1return true ... Read More
Suppose we have an array nums which only stores 1 and 2 in it. We have to check whether the array can be divided into two different parts such that sum of elements in each part is same.So, if the input is like nums = [1, 1, 2, 2, 2], then the output will be True as we can divide this array like [1, 1, 2] and [2, 2] the sum of each part is 4.To solve this, we will follow these steps −total := 0, one_count := 0total := sum of all elements of numsone_count := count of 1s ... Read More
Suppose we have an array nums of unique elements from 1 through n. We have to check whether it is stack-sortable or not. An array is stack sortable when it can be stored in some other array using a temporary stack.To solve this, we can use any of these operations on the array −Delete the starting element of array and push that item into the stack.Delete the top element of the stack and insert it to the end of second array.Now if all the element of the given array is transferred to the second array by these operations so the ... Read More
Suppose we have an array called nums. We also have two numbers x and y defining a range [x, y]. We have to check whether the array contains all elements in the given range or not.So, if the input is like nums = [5, 8, 9, 6, 3, 2, 4] x = 2 y = 6, then the output will be true as there are all elements [2, 3, 4, 5, 6].To solve this, we will follow these steps −temp_range := y - xfor i in range 0 to size of nums, doif |nums[i]| >= x and |nums[i]| 0, ... Read More
Suppose we have a binary string str, we have to check whether all of the 1s in the string are equidistant or not. In other words, the distance between every two 1s is same. And the string contains at least two 1s.So, if the input is like s = "100001000010000", then the output will be True as the 1s are at distance 4 from each other.To solve this, we will follow these steps −index := a new listfor i in range 0 to size of s, doif s[i] is same as 1, theninsert i at the end of indext := ... Read More
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