Trick for modular division ( (x1 * x2 …. xn) / b ) mod (m)
Given integers x1, x2, x3……xn, b and m, we are supposed to find the result of ((x1*x2….xn)/b)mod(m). Example 1 : Suppose that we are required… Read More »
Tag Archives: modular-arithmetic
Divisibility by 3 where each digit is the sum of all prefix digits modulo 10
Given K, number of digits, and d0 and d1 as the two digits to form the k-sized integer. Task is to check whether the k-sized… Read More »
Count numbers formed by given two digit with sum having given digits
Given a, b and N(1 to 106). Task is to count the numbers formed by digits a and b exactly of a length N such… Read More »
Subarray with no pair sum divisible by K
Given an array of N non-negative integers, task is to find the maximum size of a subarray such that the pairwise sum of the elements… Read More »
Equalizing array using increment under modulo 3
Given an array A containing N non-negative integers. Only following operation can be performed on the array: A[i] = ( A[i] + 1 ) %… Read More »
Number of solutions to Modular Equations
Given A and B, the task is to find the number of possible values that X can take such that the given modular equation (A… Read More »
Check if any valid sequence is divisible by M
Given an array of N integers, using ‘+’ and ‘-‘ between the elements check if there is a way to form a sequence of numbers… Read More »
Find value of (n^1 + n^2 + n^3 + n^4) mod 5 for given n
You are given a function f(n) = (n1 + n2 + n3 + n4), you have to find the value of f(n) mod 5 for… Read More »
Recursive sum of digits of a number formed by repeated appends
Given two positive number N and X. The task is to find the sum of digits of a number formed by N repeating X number… Read More »
Find value of y mod (2 raised to power x)
Given two positive integer x and y. we have to find the value of y mod 2x. That is remainder when y is divided by… Read More »
Modular multiplicative inverse from 1 to n
Give a positive integer n, find modular multiplicative inverse of all integer from 1 to n with respect to a big prime number, say, ‘prime’.… Read More »
Maximum subarray sum in an array created after repeated concatenation
Given an array and a number k, find the largest sum of contiguous array in the modified array which is formed by repeating the given… Read More »
Find last k digits in product of an array numbers
Given a array size of n, find the last k digits (1 <= k < 10) of product of array numbers Examples: Input : a[]… Read More »
Find unit digit of x raised to power y
Given two numbers x and y, find unit digit of xy. Examples : Input : x = 2, y = 1 Output : 2 Explanation… Read More »
Find reminder of array multiplication divided by n
Given multiple numbers and a number n, the task is to print the reminder after multiply all the number divide by n. Examples: Input :… Read More »