Webnovel Author: Shut_Forever

2yr

Replied to Shut_Forever

This is all assuming x,a,b and c all need to be natural numbers (positive whole numbers).

Si Wuya read further down the paper. "There is currently an unknown number of objects. If counted in threes, two will be left. If counted in fives, three will be left. If counted in sevens, two will be left. How many objects are there?"

My Disciples Are All Villains

Eastern · MSRZP

Shut_Forever

2yr

Commented

I think the most “elegant” solution is to start by setting up the equations as follows: x = 3a+2 x = 5b+3 x = 7c+2 Then let’s just take the first and third line, do a little change and have a look: x = 3a+2 <=> x-2 = 3a x = 7c+2 <=> x-2 = 7c What this tells us is that (x-2) is both a multiple of 3 and a multiple of 7. The smallest (non-0) number that is both a multiple of 3 and of 7 is very simply: 3x7 = 21 And as such we can try assuming: x-2 = 21 <=> x = 23 If so, both the first and third equation can be fullfilled with some set a and c. So let’s see if this works with the second equation: x = 5b+3 <=> 23 = 5b+3 <=> b = 4 So we have found that if x = 23, all three equations can be fullfilled with a,b and c being whole numbers. In this case (a,b,c) = (7,4,3).

Si Wuya read further down the paper. "There is currently an unknown number of objects. If counted in threes, two will be left. If counted in fives, three will be left. If counted in sevens, two will be left. How many objects are there?"

My Disciples Are All Villains

Eastern · MSRZP

Shut_Forever

2yr

Commented

I’m around halfway into the next one😉 I’m too busy writing reviews and this new chapter is really tricky to write well😵

ch 0 6 The Calm

Monsters be Barbarians

Fantasy · Shut_Forever

Shut_Forever

2yr

Replied to mrant12

Ursa is more or less the name for the bear species as a whole (it’s the latin root at least). I wasn’t thinking of Dota specifically when I named it but that may have been the source of the inspiration 😝

Five minutes passed very slowly before the beast finally showed itself. It walked out very casually giving it a domineering aura while watching the group with a small grin. It looked like a regular black bear, around one meter tall as it was walking on all four legs. Its body was not particularly massive but you could see its muscles with the naked eye very clearly. Thankfully all five rookies had paid enough attention in class to know this was an Ursa and that its looks were deceptively meek. As was the case for all the now-monsters, their physical appearance usually had not changed drastically with only having a slight increase in their average size and a more muscular body. However, in reality, their strength, as well as resistance, had increased more than twofold. An Ursa such as this one could withstand a couple of gunshots to the head and still live long enough to kill whoever shot at it.

Monsters be Barbarians

Fantasy · Shut_Forever

Shut_Forever

2yr

Replied to RIKUSAN

It’s a real dome that covers the sky so not like attack on titan. But yes there are layers to it exactly like attack on titan, with stuff between each layer.

The world is a dangerous place. Or it would be if one were to try and venture outside. Nowadays, all humans have settled in one of the many cities sprawling the world. But no two cities are close enough to be travelled between in less than a month. One such place is known as Wutian, from the old runic symbols "Wu Tian", and its inhabitants also sometimes refer to it as the city with five skies. The city houses around 70 thousand people and resembles a regular city with farmland around it as well as five semi-transparent domes covering it. Each dome is referred to by its inhabitants as a "Sky" with the First Sky being the smallest and standing on top of the very core of the city while the Fourth Sky covers the entire city as well as the farmland around it. The Fifth Sky is the last layer and is a military zone. Outside this Fifth Sky is a complete wilderness filled with the monsters that the domes protect against.