Question: Which happened first Battle of Okinawa or Operation Nordwind ?

full_context: Document 1: Operation Nordwind: Operation North Wind (German: "Unternehmen Nordwind" ) was the last major German offensive of World War II on the Western Front. It began on 31 December 1944 in Alsace and Lorraine in northeastern France, and ended on 25 January.
Document 2: Operation Winter Storm: Operation "Winter Storm" (German: "Unternehmen Wintergewitter" ) was a German offensive in World War II in which the German 4th Panzer Army unsuccessfully attempted to break the Soviet encirclement of the German 6th Army during the Battle of Stalingrad.
Document 3: Battle of Peleliu: The Battle of Peleliu, codenamed Operation Stalemate II by the United States military, was fought between the U.S. and the Empire of Japan during the Mariana & Palau Campaign of World War II, from September to November 1944, on the island of Peleliu.
Document 4: Battle of the Bulge: The Battle of the Bulge (16 December 1944 – 25 January 1945) was the last major German offensive campaign on the Western Front during World War II. It was launched through the densely forested Ardennes region of Wallonia in eastern Belgium, northeast France, and Luxembourg, towards the end of World War II. The surprise attack caught the Allied forces completely off guard. American forces bore the brunt of the attack and incurred their highest casualties of any operation during the war. The battle also severely depleted Germany's armored forces, and they were largely unable to replace them. German personnel and, later, Luftwaffe aircraft (in the concluding stages of the engagement) also sustained heavy losses.
Document 5: Lorraine Campaign: Lorraine Campaign is a term used by U.S. Army historians to describe operations of the U.S. Third Army in Lorraine during World War II from September 1 through December 18, 1944. Official U.S. Army campaign names for this period and location are "Northern France" and "Rhineland". The term was popularized by the publication of a volume of the same name by the U.S. Army in 1950. As written by the volume's author:
Document 6: Colmar Pocket: The Colmar Pocket (French: "Poche de Colmar" ; German: "Brückenkopf Elsaß" ) was the area held in central Alsace, France, by the German Nineteenth Army from November 1944 to February 1945, against the U.S. 6th Army Group during World War II. It was formed when 6th AG liberated southern and northern Alsace and adjacent eastern Lorraine, but could not clear central Alsace. During Operation Nordwind in December 1944, the 19th Army attacked north out of the Pocket in support of other German forces attacking south from the Saar into northern Alsace. In late January and early February 1945, the French First Army (reinforced by the U.S. XXI Corps) cleared the Pocket of German forces.
Document 7: Herrlisheim: Herrlisheim is a commune in the Bas-Rhin department in Grand Est in north-eastern France. The town dates from the 8th century. Herrlisheim was the scene of very heavy fighting during "Operation Nordwind", an offensive launched by the German Army during World War II that inflicted considerable damage to the town.
Document 8: Guadalcanal Campaign: The Guadalcanal Campaign, also known as the Battle of Guadalcanal and codenamed Operation Watchtower was a military campaign fought between 7 August 1942 and 9 February 1943 on and around the island of Guadalcanal in the Pacific theater of World War II. It was the first major offensive by Allied forces against the Empire of Japan.
Document 9: Iwo Jima: Iwo To (硫黄島 , Iō-tō , "sulfur island") , known in English as Iwo Jima (    ), is an island of the Japanese Volcano Islands chain south of the Ogasawara Islands and together with them forms the Ogasawara Archipelago also known as the Bonin Islands. The island of 21 km (8 square miles) is 1200 km south of mainland Tokyo and is administered as part of Ogasawara, one of the eight villages of Tokyo inhabited only by Japan Self-Defense Forces and used by the U.S. Navy for carrier practice. It was the setting of the February–March 1945 Battle of Iwo Jima involving the United States and a small number of elements of the British Pacific Fleet versus the Empire of Japan during World War II. The island grew in recognition outside Japan when the photograph "Raising the Flag on Iwo Jima" was taken on Mount Suribachi, the highest point at 160 metres (528 feet), during the battle by Associated Press photographer Joe Rosenthal. The U.S. occupied Iwo Jima until 1968 when it was returned to Japan.
Document 10: Order of battle for Operation Nordwind: This is the order of battle of German and Allied forces during Operation Nordwind in World War II
Document 11: Battle of Okinawa: The Battle of Okinawa (Japanese: 沖縄戦 , Hepburn: Okinawa-sen ) (Okinawan: 沖縄戦 , "Uchinaa ikusa " ), codenamed Operation Iceberg, was a major battle of the Pacific War fought on the island of Okinawa by United States Marine and Army forces against the Imperial Japanese Army and included the largest amphibious assault in the Pacific War during World War II, the April 1, 1945, invasion of Okinawa itself. The 82-day battle lasted from April 1 until June 22, 1945. After a long campaign of island hopping, the Allies were planning to use Okinawa, a large island only 340 mi away from mainland Japan, as a base for air operations for the planned invasion of the Japanese home islands.
Document 12: Attack on Pearl Harbor: The attack on Pearl Harbor was a surprise military strike by the Imperial Japanese Navy Air Service against the United States naval base at Pearl Harbor, Hawaii Territory, on the morning of December 7, 1941. The attack, also known as the Battle of Pearl Harbor, led to the United States' entry into World War II. The Japanese military leadership referred to the attack as the Hawaii Operation and Operation AI, and as Operation Z during its planning.
Document 13: Operation Flintlock (World War II): Operation Flintlock was the campaign against the Japanese in the Marshall Islands in the Pacific theatre of World War II, from 31 January to 4 February 1944. The operation involved the invasions of Kwajalein, Eniwetok, and Majuro atolls. Admiral Nimitz, Commander of the U. S. Pacific Fleet, chose two islands in Kwajalein Atoll, Roi-Namur Island and Kwajalein Island, as primary targets in the U. S. invasion of the Marshall Islands.  Kwajalein Atoll contained communication and weather observation units and two Japanese airstrips on Roi-Namur and Kwajalein Islands, a seaplane base situated at Ebeye Island, a submarine base at Roi-Namur Island, and other Japanese installations scattered on various islands throughout Kwajalein atoll.  Kwajalein atoll, particularly Roi-Namur and Kwajalein Islands, were subjected to heavy bombardment. This attack also sank a large number of Japanese ships in Kwajalein Lagoon. Bitter fighting between Japanese forces and the U. S. 4th Marine Division on Roi-Namur, and the U. S. 7th Infantry Division on Kwajalein, resulted in a U. S. victory on 4 February 1944. The attack of the Japanese in the Marshall Islands was the first US attack, and capture, of Japanese territory, since the land was held by Japan before the start of World War II. The capture of Kwajalein Atoll during Operation Flintlock provided American forces with a base of operations that assured the recapture of the Philippines and eventually the fall of Japan.
Document 14: Operation Downfall: Operation Downfall was the proposed Allied plan for the invasion of Japan near the end of World War II. The planned operation was abandoned when Japan surrendered following the atomic bombings of Hiroshima and Nagasaki, the Soviet declaration of war and the Soviet invasion of Manchuria. The operation had two parts: Operations Olympic and Coronet. Set to begin in November 1945, Operation Olympic was intended to capture the southern third of the southernmost main Japanese island, Kyūshū, with the recently captured island of Okinawa to be used as a staging area. Later, in the spring of 1946, Operation Coronet was the planned invasion of the Kantō Plain, near Tokyo, on the Japanese island of Honshu. Airbases on Kyūshū captured in Operation Olympic would allow land-based air support for Operation Coronet. If Downfall had taken place, it would have been the largest amphibious operation in history.
Document 15: Battle of Iwo Jima: The Battle of Iwo Jima (19 February – 26 March 1945) was a major battle in which the United States Marine Corps landed on and eventually captured the island of Iwo Jima from the Imperial Japanese Army during World War II. The American invasion, designated Operation Detachment, had the goal of capturing the entire island, including the three Japanese-controlled airfields (including the South Field and the Central Field), to provide a staging area for attacks on the Japanese main islands. This five-week battle comprised some of the fiercest and bloodiest fighting of the Pacific War of World War II.
ground_truth: Operation North Wind