Context_1 : The 1956 LSU Tigers football team represented Louisiana State University during the 1956 college football season. Under head coach Paul Dietzel, the Tigers had a record of 3–7 with an SEC record of 1–5. It was Dietzel's second season as head coach at LSU. Context_2 : The 1969 South Carolina Gamecocks football team represented the University of South Carolina during the 1969 college football season. Led by head coach Paul Dietzel, the Gamecocks won the ACC championship, were defeated by West Virginia in the and finished with a record of 7–4 . Context_3 : The 1957 LSU Tigers football team represented Louisiana State University during the 1957 college football season. Under head coach Paul Dietzel, the Tigers had a record of 5–5 with an SEC record of 4–4. It was Dietzel's third season as head coach at LSU. Context_4 : The 1946 Miami Redskins football team was an American football team that represented Miami University as an independent during the 1946 college football season. In its third season under head coach Sid Gillman, Miami compiled a 7–3 record and outscored all opponents by a combined total of 220 to 72. Paul Dietzel was the team captain. Context_5 : The 1945 Miami Redskins football team was an American football team that represented Miami University as an independent during the 1945 college football season. In its second season under head coach Sid Gillman, Miami compiled a 7–2 record and outscored all opponents by a combined total of 220 to 72. Paul Dietzel, who later served as the head football coach at LSU, Army, and South Carolina, was the team captain. Context_6 : Indiana University Bloomington (abbreviated "IU Bloomington" and colloquially referred to as "IU" or simply "Indiana") is a public research university located in Bloomington, Indiana, United States. With over 48,000 students, IU Bloomington is the flagship institution of the Indiana University system and its largest university. Context_7 : Paul Franklin Dietzel (September 5, 1924 – September 24, 2013) was an American football player, coach, and college athletics administrator. He served as the head coach at Louisiana State University (1955–1961), the United States Military Academy (1962–1965), and the University of South Carolina (1966–1974), compiling a career record of 109–95–5. Dietzel's 1958 LSU team concluded an 11–0 season with a win over Clemson in the Sugar Bowl and was a consensus national champion. For his efforts that year, Dietzel was named the National Coach of the Year by both the American Football Coaches Association and the Football Writers Association of America. Dietzel also served as the athletic director at South Carolina (1966–1974), Indiana University Bloomington (1977–1978), LSU (1978–1982), and Samford University (1985–1987). Context_8 : The 1955 LSU Tigers football team represented Louisiana State University during the 1955 college football season. Under head coach Paul Dietzel, the Tigers had a record of 3–5–2 with an SEC record of 2–3–1. It was Dietzel's first season as head coach at LSU. Context_9 : The Cradle of Coaches is a nickname given to Miami University in Oxford, Ohio for producing star football coaches including Earl Blaik, Paul Brown, Woody Hayes, Bill Arnsparger, George Little, Weeb Ewbank, Sid Gillman, Ara Parseghian, Bo Schembechler, John Pont, Carmen Cozza, Bill Mallory, Jim Tressel, Joe Novak, Ron Zook, Dick Crum, Paul Dietzel, Bill Narduzzi, Randy Walker, John Harbaugh, Gary Moeller, Larry Smith, Dick Tomey, Sean Payton, Terry Hoeppner, and Sean McVay. Context_10 : The 1960 LSU Tigers football team represented Louisiana State University during the 1960 college football season. Under head coach Paul Dietzel, the Tigers had a record of 5–4–1 with an Southeastern Conference record of 2–3–1. It was Dietzel's sixth season as head coach at LSU. fact_1 :  Dietzel also served as the athletic director at South Carolina (1966–1974), Indiana University Bloomington (1977–1978), LSU (1978–1982), and Samford University (1985–1987). fact_2 : Indiana University Bloomington (abbreviated "IU Bloomington" and colloquially referred to as "IU" or simply "Indiana") is a public research university located in Bloomington, Indiana, United States. Answer: public
Output: Is the university where Paul Dietzel was athletic director in 19771978 a public or private school?