"King Hugo II wants to state the number x in his recruitment order. The king needs as many soldiers as possible for his military campaign. However, if the recruitment takes more than t days, the enemy may learn about the imminent intrusion and strike first. Help Hugo II find the maximal possible value of x."

We must find "maximal possible value of x" with "if the recruitment takes more than t days, the enemy may learn about the imminent intrusion and strike first" without "The king needs as many soldiers as possible for his military campaign"!!!