Robot Dan, world smartest vacuum cleaner, and I took our packages and fly to trip. We had to took our big pistol, that could shot down a tank. Last time we almost started world war 3, by shooting someone called "Kanady." Lovely! Andes were our first stop. But we were disappointed by cheese food. It was just farmlands with huge cows, goats and pigs. But that was not all - because we were near north pole, Dan shot big flying leviathan. And he died immediately! In the end of the day (around 9), we flew back home. This time because of Dan. He had very bad diarrhea. There was propably something in the food. (He had chicken vindaloo.) Next stop: Modern centrum of slow access information - England!
"Linearity is the property of a mathematical relationship or function" Dan started to read from wikipedia "which means that it can be graphically represented as a straight line." And that is why we had to leave museum of Ancient Internet. Next stop! Country we flew last was USA. There was a nice cipher factory. They created (for example) nAES (new Advanced Encryption Standard), RSA (Rivest, Shamir, Adleman), Diffie–Hellman cipher and new MEOW. That was it. Dan knows 32 cipher languages. That was amazing!
What is not Dan's favourite number?
I asked robot: "Dan, can we somehow format this text?" "Yes, you can split our 3032 words by 111. Like this!"
Dan works at the moment: 'Bzzzzzz' "Dan is tired. Dan will work only with ten words today. Two per paragraph. Easy!"
Because of robots these days do not know how to calculate in decimal system, they won't do any letter shifting, ouch!
Solution depends highly on number of words. However first association is too hard. Start with formatting and focus on other lines!
You need to find (or actually associate from words) five countries that we were in. Last one is easiest "Country ***" !
Day two we were in two countries. We were not in USA, but somehow similar country. Hints has something in common!
Numbers counts as one word. If I cross out every 3rd word - I would not change solution ( - "idea", only maybe hints!).
After hint seven - If I cross out every 2nd word - I would not touch "solution words." Now only seventy words left!
There are always some minor hints around. For first country you may want to search root of the problem. Don't think about third more than five seconds. And for fourth there is a knowledge tag.
When we woke up, we bought some beer for the trip. Btw today is Wikipedia pretty ancient. It took our best scientists some time to decode its binary code.
Still in the morning we also took some highly explosive semtex against leviathans. We traveled between locations in plane without single stop (so it made straight line). However at the end of 1st day we used teleport for faster travel.
Country one: Robot, pistol, "Kanady", beer, semtex + number of hockey players
Country four: Linearity be, something ancient + does not directly refer to country, but two islands (and not names, but something linear)
country two+five found by @TuomasK, three found by @Gamow