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I understand the modulus operator in terms of the following expression This works because, if you're working modulo $7$, then adding $7$ is the same as not changing the number (modulo $7$). 7 % 5 this would return 2 due to the fact that 5 goes into 7 once and then gives the 2 that is left over, however my confusion
I was wondering how modulo works Instead, you can save this post to reference later. I know how it works when the bigger number comes first, but not the opposite
I know that 7 % 3 = 1 as 3 goes up to 7 2 times and the remaining is 1
I really can't get my head around this modulo thing Given 2 integers x and n, you have to calculate x to the power of n, modulo 10^9+7 i.e In other words, you have to find the value when x is raised to the power of n, and then modulo is taken with 10^9+7. This is from discrete mathematics and its applications by inspection, find an inverse of 2 modulo 7 to do this, i first used euclid's algorithm to make sure that the greatest common divisor between.
Some ways to do it The first method is called list comprehension, and you can find many examples of it on stack overflow and elsewhere List1 = [1, 3, 5, 6, 201, 99121, 191929912, 8129391828989123] modulus = 10**9 + 7 list2 = [x % modulus for x in list1] # example of list comprehension or using map list2 = list(map(lambda x X % modulus, list1)) or perhaps the least elegant list2 = [] for x.
I am trying to use modulo 10^9+7 (or 1000000007) with a very large long number but i am not getting the correct result
Applying modulo reduction on intermediate products, not only at the end Using just one of them is not sufficient As a consequence of applying modulo reduction earlier, the division by 6 will not work with a normal division, it will have to be a multiplication by the modular multiplicative inverse of 6 mod 1000000007, which is. You'll need to complete a few actions and gain 15 reputation points before being able to upvote
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