Question: The king of America's ally after the battle of Saratoga who lost his head in the French Revolution was followed by?

full_context: Document 1: Charles I at the Hunt: Charles I at the Hunt - also known under its French title, Le Roi à la chasse - is an oil-on-canvas portrait of Charles I of England by Anthony van Dyck c.1635, now in the Louvre Museum, Paris.
Document 2: Guillotine: The guillotine remained France's standard method of judicial execution until the abolition of capital punishment in 1981. The last person to be executed in France was Hamida Djandoubi, who was guillotined on 10 September 1977.
Document 3: American Revolutionary War: Burgoyne's defeat had drastic consequences; France formally allied with the Americans and entered the war in 1778, and Spain joined the war the following year as an ally of France but not as an ally of the United States. In 1780, the Kingdom of Mysore attacked the British in India, and tensions between Great Britain and the Netherlands erupted into open war. In North America, the British mounted a ``Southern strategy ''led by Charles Cornwallis which hinged upon a Loyalist uprising, but too few came forward. Cornwallis suffered reversals at King's Mountain and Cowpens. He retreated to Yorktown, Virginia, intending an evacuation, but a decisive French naval victory deprived him of an escape. A Franco - American army led by the Comte de Rochambeau and Washington then besieged Cornwallis' army and, with no sign of relief, he surrendered in October 1781.
Document 4: Battles of Saratoga: Burgoyne's strategy to divide New England from the southern colonies had started well but slowed due to logistical problems. He won a small tactical victory over General Horatio Gates and the Continental Army in the September 19 Battle of Freeman's Farm at the cost of significant casualties. His gains were erased when he again attacked the Americans in the October 7 Battle of Bemis Heights and the Americans captured a portion of the British defenses. Burgoyne was therefore compelled to retreat, and his army was surrounded by the much larger American force at Saratoga, forcing him to surrender on October 17. News of Burgoyne's surrender was instrumental in formally bringing France into the war as an American ally, although it had previously given supplies, ammunition, and guns, notably the de Valliere cannon which played an important role in Saratoga. This battle also resulted in Spain joining France in the war against Britain.
Document 5: Jean-Baptiste Boyer-Fonfrède: A deputy to the National Convention from his native city, Bordeaux, he voted for the death of Louis XVI, denounced the September Massacres and accused Jean-Paul Marat. He was tried, condemned, and guillotined in Paris with the leading Girondin deputies on 31 October 1793.
Document 6: Guillotine: The guillotine remained France's standard method of judicial execution until as recently as the abolition of capital punishment in 1981. The last person to be executed in France was Hamida Djandoubi, who was guillotined on 10 September 1977.
Document 7: Charles Darnay: Darnay is put on trial for treason against the Kingdom of Great Britain, but the key eyewitness testimony against him is undermined when his defense counsel directs attention to Sydney Carton, a barrister who has been assisting in the case. The two men bear a strong resemblance to one another, and Darnay is acquitted as a result. Later, Darnay succeeds his uncle as Marquis when the latter is stabbed to death in his sleep by a French revolutionary. Both Darnay and Carton express their love for Lucie Manette, but Darnay courts and marries her. As the French Revolution begins, Darnay is arrested and brought before a tribunal, where the crimes of his uncle and father are brought to light. He is sentenced to death by guillotine, but Carton takes his place so that he and his family can escape.
Document 8: Battles of Saratoga: Once news of Burgoyne's surrender reached France, King Louis XVI decided to enter into negotiations with the Americans that resulted in a formal Franco - American alliance and French entry into the war. This moved the conflict onto a global stage. As a consequence, Britain was forced to divert resources used to fight the war in North America to theaters in the West Indies and Europe, and rely on what turned out to be the chimera of Loyalist support in its North American operations. Being defeated by the British in the French and Indian War more than a decade earlier, France found an opportunity of revenge by aiding the colonists throughout the Revolutionary War. Prior to the Battle of Saratoga, France did n't fully aid the colonists. However, after the Battles of Saratoga were conclusively won by the colonists, France realized that the Americans had the hope of winning the war, and began fully aiding the colonists by sending soldiers, donations, loans, military arms, and supplies.
Document 9: Execution of Louis XVI: The execution of Louis XVI, by means of the guillotine, a major event of the French Revolution, took place on 21 January 1793 at the Place de la Révolution (``Revolution Square '', formerly Place Louis XV, and renamed Place de la Concorde in 1795) in Paris. The National Convention had convicted the king (17 January 1792) in a near - unanimous vote (while no one voted`` not guilty'', several deputies abstained) and condemned him to death by a simple majority.
Document 10: Paris: Louis XVI and the royal family were brought to Paris and made virtual prisoners within the Tuileries Palace. In 1793, as the revolution turned more and more radical, the king, queen, and the mayor were guillotined, along with more than 16,000 others (throughout France), during the Reign of Terror. The property of the aristocracy and the church was nationalised, and the city's churches were closed, sold or demolished. A succession of revolutionary factions ruled Paris until 9 November 1799 (coup d'état du 18 brumaire), when Napoléon Bonaparte seized power as First Consul.
Document 11: France in the American Revolutionary War: France bitterly resented its loss on the Seven Years' War and sought revenge; it also wanted to keep Britain from becoming too powerful. The opportunity was now at hand. Following the Declaration of Independence, the American Revolution was well received in France, by both the general population and the aristocracy. The Revolution was perceived as the incarnation of the Enlightenment Spirit against the ``English tyranny. ''Benjamin Franklin, dispatched to France in December 1776 to rally its support, was welcomed with great enthusiasm. The French had become interested in the American Revolution from the outset. They saw the revolution as an opportunity to strip Britain of their North American possessions in retaliation for France's loss of Canada a decade before. At first, French support was covert; French agents sent the Patriots military aid (predominantly gunpowder) through a company called Rodrigue Hortalez et Compagnie, beginning in the spring of 1776. Estimates place the percentage of French supplied arms to the Americans in the Saratoga campaign up to 90%. By 1777, over five million livres of aid had been sent to the American rebels.
Document 12: Jean Sylvain Bailly: Jean Sylvain Bailly (; 15 September 1736 – 12 November 1793) was a French astronomer, mathematician, freemason, and political leader of the early part of the French Revolution. He presided over the Tennis Court Oath, served as the mayor of Paris from 1789 to 1791, and was ultimately guillotined during the Reign of Terror.
Document 13: Lancelot de Carle: Lancelot de Carle (also Carles) (c. 1508 – July 1568), Bishop of Riez, was a French scholar, poet and diplomat. He was in London in 1536, in the service of the French Ambassador, Antoine de Castelnau. Carle was an eyewitness to the trial and execution of Anne Boleyn, Queen consort of Henry VIII, and shortly afterwards, he wrote a poem detailing her life and the circumstances surrounding her death.
Document 14: Charles-Henri Sanson: Charles-Henri Sanson, full title "Chevalier Charles-Henri Sanson de Longval" (15 February 1739 – 4 July 1806), was the royal executioner of France during the reign of King Louis XVI, and High Executioner of the First French Republic. He administered capital punishment in the city of Paris for over forty years, and by his own hand executed nearly 3,000 people, including the King himself.
Document 15: France in the American Revolutionary War: The British had taken Philadelphia in 1777, but American victory at the Battle of Saratoga brought back hope to the Patriots and enthusiasm in France. The army of Burgoyne surrendered to American forces after Saratoga and France realized that the United States could be victorious. The king directed Vergennes to negotiate an alliance with the Americans.
ground_truth: First French Republic
sub_queries: who became allies with america after the battle of saratoga Answer: France,
who lost his head in the french revolution Answer: Louis XVI
Louis XVI of #1 >> followed by Answer: First French Republic