<s>[INST] This problem is using the Napoleonic Wars as a backdrop and deals with the rise of a fictional French general named, Pierre Dupont. He is not to be confused with the real French general Pierre Dupont who played a key role in the Peninsular War.

Pierre Dupont, a relatively unknown brigadier general within Napoleon's Grande Armée, is the commander of a relatively small division of 5,000 infantry, 1,000 cavalry and 10 cannons. In the year 1809, he finds himself facing a combined Austrian-Italian army larger in size, numbering approximately 18,000 infantry, 2,500 cavalry and 22 cannons.

Dupont, realizing he is outnumbered, calls for reinforcements but they are delayed due to heavy fighting on other fronts. Despite this, Dupont decides to take a bold risk and launch a surprise attack on the enemy's right flank with his cavalry, hoping to exploit a weakness he has identified in the enemy's defensive position. He leaves his infantry behind, using them to fix the enemy's attention in a diversionary action on the left flank.

The surprise attack proves successful, routing the enemy's cavalry and causing significant casualties among the infantry on the right flank. However, things become complicated when Dupont's own infantry, which has been ordered to hold its ground and not to advance, mistakenly interprets the success of the cavalry as a signal to press forward. The infantry advances, but without the support of the cavalry, which is still regrouping after their successful charge.

The advancing infantry faces withering artillery fire, suffering heavy casualties, but they manage to capture a strategic hill, which provides them with a defensive position. As the enemy regroups and begins to counter-attack, Dupont realizes he must act quickly to support his infantry. He orders his cavalry to regroup and charge towards the enemy's artillery to silence their guns.

Dupont's plan, however, is threatened when he learns that a contingent of Austrian reinforcements, numbering approximately 2,000 infantry and 500 cavalry, is approaching the battlefield from the north. These reinforcements are scheduled to arrive within the hour, which would give the enemy a significant numerical advantage.

The situation for Dupont's division is precarious. They are outnumbered, their infantry has suffered heavy casualties, and they are about to face fresh reinforcements. Dupont knows he must think and act quickly if he is to emerge victorious. What should he do?[/INST]