The sun was about to dip below the horizon when the first carts finally appeared in the far distance. The chief imperial architect Lucius Tarquinius Lepidus, who was waiting for them sitting on a tree stump, lazily yawned and began counting carts. One, two, three... after the 26th he lost count, but it didn't matter: obviously, the merchant's caravan has arrived and brought the resources that were needed to start the construction of a new village.
It could not have come at a better time. The village already ran out of their own resources three days ago, and that's why the soldiers of the engineering cohort spent most of their time in idleness, belting the grape and being bored for lack of something to do. "Though," thought Lucius Tarquinius, "even when they spend days and nights on a construction site, they still find some time for good wine, songs and parties... Where do they find the strength for all of that? Heh, the young know little of sorrowfulness, tiredness, and... well, lots of other 'nesses' they can't know due to their age."
Lucius Tarquinius elbowed an errand boy, who was nodding next to him and ordered:
"Go find Centurion of the Engineering Cohort. Tell him, the caravan with resources has come from the capital."
The boy nodded and teared away to do his task. "The young..." the chief architect thought once again.
He shifted his gaze over to a huge construction site that was the size of an entire village. It was being built following the best Roman traditions: stone walls, precise buildings. Neat rows of tents where the guards lived. The garrison was not that large yet, somewhat short of a legion. However, the number of soldiers was really nice: 5,555. And what's more, the balance of troops was ideal. One Imperian for every ten Legionnaires, one Equites Imperatoris for every five Imperians, and one Equites Caesaris for every nine Equites Imperatoris. Additionally, the workshop has already started to produce siege weapons.
Please find out how many troops of each type are now in the Roman village.
Legionnaires = ?
Imperians = ?
Equites Imperatoris = ?
Equites Caesaris = ?
(Siege weapons are not counted)