Question: The Root–Takahira Agreement involved the lawyer who served as Secretary of State under which President?

full_context: Document 1: Elihu Root: Elihu Root ( ; February 15, 1845February 7, 1937) was an American lawyer and statesman who served as the Secretary of State under President Theodore Roosevelt and as Secretary of War under Roosevelt and President William McKinley. He moved frequently between high-level appointed government positions in Washington, D.C. and private-sector legal practice in New York City. For that reason, he is sometimes considered to be the prototype of the 20th century political "wise man," advising presidents on a range of foreign and domestic issues. He was elected by the state legislature as a U.S. Senator from New York and served one term, 1909–1915. Root was awarded the Nobel Peace Prize in 1912.
Document 2: Rudy Giuliani: Rudolph William Louis Giuliani {'1': ", '2': ", '3': ", '4': "} ( ; born May 28, 1944) is an American lawyer, businessman, public speaker, former mayor of New York City, and an informal adviser on cybersecurity to the White House.
Document 3: Robert Lansing: Robert Lansing ( ; October 17, 1864 – October 30, 1928) was an American lawyer and Conservative Democratic politician who served as Legal Advisor to the State Department at the outbreak of World War I, and then as United States Secretary of State under President Woodrow Wilson from 1915 to 1920. Before U.S. involvement in the war, Lansing vigorously advocated in favor of the principles of freedom of the seas and the rights of neutral nations. He later advocated U.S. participation in World War I, negotiated the Lansing–Ishii Agreement with Japan in 1917 and was a member of the American Commission to Negotiate Peace at Paris in 1919.
Document 4: Woodrow Wilson: Thomas Woodrow Wilson (December 28, 1856 – February 3, 1924) was an American politician and academic who served as the 28th President of the United States from 1913 to 1921. A member of the Democratic Party, Wilson served as the President of Princeton University from 1902 to 1910 and then ran and was elected as a progressive Democrat to the office of Governor of New Jersey. Wilson's victory in the 1912 presidential election made him the first Southerner elected to the presidency since Zachary Taylor in 1848. He also led the United States during World War I, establishing an activist foreign policy known as "Wilsonianism." He was a major leader at the Paris [Versailles] Peace Conference in 1919, where he championed the proposed League of Nations. However, he was unable to obtain Senate approval for U.S. membership. After he suffered debilitating strokes in September 1919, his wife and staff members handled most of his presidential duties.
Document 5: Elihu B. Washburne: Elihu Benjamin Washburne (September 23, 1816 – October 23, 1887) was an American politician and diplomat. A member of the Washburn family, which played a prominent role in the early formation of the United States Republican Party, he served as a congressman from Illinois before and during the American Civil War. He was a political ally of President Abraham Lincoln and General (later President) Ulysses S. Grant. During Grant's administration, Washburne was the 25th United States Secretary of State, briefly in 1869, and was the United States Minister to France from 1869 to 1877.
Document 6: Root–Takahira Agreement: The Root–Takahira Agreement (高平・ルート協定 , Takahira-Rūto Kyōtei ) was an agreement between the United States and the Empire of Japan negotiated between United States Secretary of State Elihu Root and Japanese Ambassador to the United States Takahira Kogorō.
Document 7: W. Averell Harriman: William Averell Harriman (November 15, 1891July 26, 1986) was an American Democratic politician, businessman, and diplomat. The son of railroad baron E. H. Harriman, he served as Secretary of Commerce under President Harry S. Truman and later as the 48th Governor of New York. He was a candidate for the Democratic presidential nomination in 1952 and 1956, as well as a core member of the group of foreign policy elders known as "The Wise Men".
Document 8: Theodore Roosevelt: Theodore Roosevelt Jr. ( ; October 27, 1858 – January 6, 1919) was an American statesman, author, explorer, soldier, naturalist, and reformer who served as the 26th President of the United States from 1901 to 1909. He also served as the 25th Vice President of the United States from March to September 1901 and as the 33rd Governor of New York from 1899 to 1900. As a leader of the Republican Party during this time, he became a driving force for the Progressive Era in the United States in the early 20th century. His face is depicted on Mount Rushmore, alongside those of George Washington, Thomas Jefferson, and Abraham Lincoln.
Document 9: U.S.–Austrian Peace Treaty (1921): The U.S.–Austrian Peace Treaty is a peace treaty between the United States and Austria, signed in Vienna on August 24, 1921, in the aftermath of the First World War. This separate peace treaty was required because the United States Senate refused to advise and consent to the ratification of the multilateral Treaty of Saint-Germain-en-Laye of 1919.
Document 10: Mount Root: Mount Root, also named Boundary Peak 165, is a mountain in Alaska and British Columbia, located on the Canada–United States border, and part of the Fairweather Range of the Saint Elias Mountains. It is named for Elihu Root, who was one of the diplomats involved in settling the Alaska boundary dispute between the United States and Canada. It is where the Margerie Glacier is located.
Document 11: U.S.–Japan Status of Forces Agreement: U.S.–Japan Status of Forces Agreement (formally, the "Agreement under Article VI of the Treaty of Mutual Cooperation and Security between Japan and the United States of America, Regarding Facilities and Areas and the Status of United States Armed Forces in Japan") is an agreement between Japan and the United States signed on 19 January 1960 in Washington, the same day as the revised U.S.-Japan Security Treaty. It is a status of forces agreement (SOFA) as stipulated in article VI of that treaty, which referred to "a separate agreement" governing the "use of [...] facilities and areas [granted to the U.S.] as well as the status of United States armed forces in Japan". It replaced the earlier "U.S.-Japan Administrative Agreement" that governed such issues under the original 1951 security treaty.
Document 12: 1916 Republican National Convention: The 1916 Republican National Convention was held in Chicago from June 7 to June 10. A major goal of the party's bosses at the convention was to heal the bitter split within the party that had occurred in the 1912 presidential campaign. In that year, Theodore Roosevelt bolted the GOP and formed his own political party, the Progressive Party, which contained most of the GOP's liberals. William Howard Taft, the incumbent president, won the nomination of the regular Republican Party. This split in the GOP ranks divided the Republican vote and led to the election of Democrat Woodrow Wilson. Although several candidates were openly competing for the 1916 nomination—most prominently conservative Senator Elihu Root of New York, Senator John W. Weeks of Massachusetts, and liberal Senator Albert Cummins of Iowa—the party's bosses wanted a moderate who would be acceptable to all factions of the party. They turned to Supreme Court Justice Charles Evans Hughes, who had served on the court since 1910 and thus had the advantage of not having publicly spoken about political issues in six years. Although he had not sought the nomination, Hughes made it known that he would not turn it down; he won the nomination on the third ballot. Former Vice-President Charles W. Fairbanks was nominated as his running mate. Hughes was the only Supreme Court Justice to be nominated for president by a major political party. Fairbanks (as of 2016) was the last former vice president, to be nominated for vice president.
Document 13: Lodge Reservations: United States Senator Henry Cabot Lodge from Massachusetts was the Republican Majority Leader and Chairman of the Committee on Foreign Relations. In response to the Treaty of Versailles, Senator Lodge penned twelve reservations to the proposed post-war agreements. The Treaty called for the creation of a League of Nations in which the promise of mutual security would hopefully prevent another major world war. The League charter which Wilson primarily wrote let the League set the terms for war and peace. If the League called for military action all members would have to join in. Lodge wanted to join the League of Nations with reservations. The Democrats in the Senate, following Wilson's direction, rejected Lodge's proposal to join the League with his reservations. Republicans opposed joining under Wilson's terms of no reservations which meant the League could force the U.S. to enter a war without approval of Congress. In the end the Senate voted down the Treaty of Versailles in 1919 and never joined the new League of Nations. Lodge won in the long run—his reservations were incorporated into the United Nations in 1945, where the U.S. had a veto.
Document 14: Ralph Bunche: December 9, 1971) was an American political scientist, academic, and diplomat who received the 1950 Nobel Peace Prize for his late 1940s mediation in Israel. He was the first African American to be so honored in the history of the prize. He was involved in the formation and administration of the United Nations. In 1963, he was awarded the Presidential Medal of Freedom by President John F. Kennedy.
Document 15: Treaty of Taipei: The Sino-Japanese Peace Treaty (Chinese: 中日和平條約 ), commonly known as the Treaty of Taipei (), was a peace treaty between Japan and the Republic of China (ROC) signed in Taipei, Taiwan on April 28, 1952, and took effect on August 5 the same year, marking the formal end of the Second Sino-Japanese War (1937–45). This treaty was necessary, because neither the Republic of China nor the People's Republic of China was invited to sign the Treaty of San Francisco due to disagreements by other countries as to which government was the legitimate government of China during and after the Chinese Civil War. Under pressure from the United States, Japan signed a separate peace treaty with the Republic of China to bring the war between the two states to a formal end with a victory for the ROC. Although the ROC itself was not a participant in the San Francisco Peace Conference due to the resumption of the Chinese Civil War after 1945, this treaty largely corresponds to that of San Francisco. In particular, the ROC waived service compensation to Japan in this treaty with respect to Article 14(a).1 of the San Francisco Treaty.
ground_truth: Theodore Roosevelt