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Articles by Arnab Chakraborty
Page 48 of 377
Latin Square in Python
The Latin square is a matrix that has a special pattern. Let's see different examples to examine the pattern.1 2 2 1 1 2 3 3 1 2 2 3 1 1 2 3 4 4 1 2 3 3 4 1 2 2 3 4 1 The Latin square that you get will be of different size as you notice in the above examples. But, if you carefully observe the above matrices' pattern, you will find out that the last number of the previous row comes as the first element of the next row.That's the pattern ...
Read MoreC++ Program to find out the distinct elements in a given sequence
Suppose we are given three integer numbers n, x, y, and z. We have to make a sequence from the given integers where the first item of the sequence is (x modulo 231). Other than the first element, other elements in the sequence ai = (a(i-1) * y + z) modulo 231 , where 1 ≤ i ≤ n - 1. We have to find out the number of distinct integers in the sequence we made.So, if the input is like n = 5, x = 1, y = 2, z = 1, then the output will be 5.The unique ...
Read MoreC++ Program to find out how many movies an attendee can watch entirely at a Film festival
Suppose there is a film festival going on that showcase various movies from various countries. Now, an attendee wants to attend the maximum number of movies that do not overlap with each other and we have to help them to find out how many movies they can attend.There is a structure Movie that has the following members −The beginning time of the movie.The duration of the movie.The ending time of the movie.There is another structure Festival with the following members −The number of movies at the festival.An array of type Movie whose size is similar to the number of movies ...
Read MoreProgram to find out the XOR values of specific elements from a generated list in Python
Suppose we are given a list that contains natural numbers. Now from that list, we remove all the numbers that contain two consecutive 1s in its binary representation and generate another list called Z. Now we are given another list 'input_list' that contains some integer values. We have to find out the XOR value of the specified elements from Z whose indexes are specified in input_list.So, if the input is like input_list = [3, 4, 5], then the output will be 9.In indexes 3, 4, and 5 of Z; the values are 4, 5, and 8. So, 4 XOR 5 ...
Read MoreProgram to find out the scalar products of vectors generated from an infinite sequence in Python
Suppose we are given three integer numbers c, m, and n. We have to generate an infinite sequence, where the first value is 0, the second value is c, and from the third value onwards it is equal to ki = (ki-2 + ki-1) mod m. We have to generate all the values in the series up to item k2n+1. Now from the values of the series; we take two consecutive values in the sequence as the x and y coordinates of a two-dimensional vector and generate n number of vectors. Point to be noted, we use the values in ...
Read MoreProgram to find out the sum of the number of divisor of the divisors in Python
Suppose we are given two integer numbers m and a. Now n = p1(a + 1) *p2(a + 2) *...*pm(a + m), where pi is the i-th prime number and i > 0. We have to find the value of k, where k = summation of f(x) values of n. Here f(x) values are the number of divisor values of each divisor of n.So, if the input is like m = 2, a = 1, then the output will be 60.So, n = 2^2 x 3^3n = 4 x 27n = 108The divisors of 108 are: 1, 2, 3, 4, ...
Read MoreProgram to find out the value of a given equation in Python
Suppose we are given five integer numbers a, b, c, d, n. We have to find out ((ab)(cd)) mod n. The output value is an integer number.So, if the input is like a = 2, b = 3, c = 2, d = 4, n = 10, then the output will be 6.2^3 = 8 2^4 = 16 8^16 = 281474976710656 281474976710656 mod 10 = 6To solve this, we will follow these steps −Define a function helper() . This will take np := ni := 2while i * i 1, thenp := p - floor value of (p / ...
Read MoreProgram to find out the length of the substring where two times the number of zeroes in substring is lesser than or equal to three times the number of ones in the substring in Python
Suppose we are given a string and an integer k. The string is repeated k times and made to another string. Our task is to find the length of the substring in the new string where 2 * (number of zeroes in substring) 0: continue else: a = min(k - 1, -tmp // list_a[str_len]) v = a * list_a[str_len] - list_a[i] b = bisect_left(list_b, (-v + 1, 0)) - 1 res = max(res, temp_list[b] - i + a * str_len) return res print(solve(2, '0101011'))Input2, '0101011'Output14
Read MoreProgram to find out the value of a power of 2 in Python
Suppose we are given two integer numbers p and q. We have to find out the value of 22^p mod q. The output has to be an integer.So, if the input is like p = 5, q = 6, then the output will be 4To solve this, we will follow these steps −res := 2^(2^p) mod qreturn resExampleLet us see the following implementation to get better understanding −def solve(p, q): res = pow(2, 2 ** p, q) return res print(solve(5, 6))Input5, 6Output4
Read MoreProgram to find out the number of special numbers in a given range in Python
Suppose we are given a range of integer numbers and are asked to find out the special numbers in the range. A special number is a number that is a positive integer having only 1 digit in its decimal representation. A number that has more than 1 digit in its decimal representation can also be special if the number is divisible by the count of digits in its decimal representation and the quotient value is itself a special number. We return the count of special numbers in the given range (left_limit, right_limit).So, if the input is like left_limit = 5, ...
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