What is the summed compensation for the top 3 most compensated directors?
{"DIRECTOR COMPENSATION -- Name (1)": {"Fees Earned or Paid in Cash ($)": "Fees Earned or Paid in Cash ($)", "Stock Awards ($) (2)": 2, "Total ($)": "Total ($)"}, "DIRECTOR COMPENSATION -- Keith Barnes": {"Fees Earned or Paid in Cash ($)": 102500, "Stock Awards ($) (2)": 178317, "Total ($)": 280817}, "DIRECTOR COMPENSATION -- Richard E. Belluzzo": {"Fees Earned or Paid in Cash ($)": 160000, "Stock Awards ($) (2)": 178317, "Total ($)": 338317}, "DIRECTOR COMPENSATION -- Laura Black": {"Fees Earned or Paid in Cash ($)": 67500, "Stock Awards ($) (2)": 178317, "Total ($)": 245817}, "DIRECTOR COMPENSATION -- Tor Braham": {"Fees Earned or Paid in Cash ($)": 67500, "Stock Awards ($) (2)": 178317, "Total ($)": 245817}, "DIRECTOR COMPENSATION -- Timothy Campos": {"Fees Earned or Paid in Cash ($)": 77500, "Stock Awards ($) (2)": 178317, "Total ($)": 255817}, "DIRECTOR COMPENSATION -- Donald Colvin": {"Fees Earned or Paid in Cash ($)": 97500, "Stock Awards ($) (2)": 178317, "Total ($)": 275817}, "DIRECTOR COMPENSATION -- Masood A. Jabbar": {"Fees Earned or Paid in Cash ($)": 90000, "Stock Awards ($) (2)": 178317, "Total ($)": 268317}}
top_3_directors = ["Richard E. Belluzzo", "Keith Barnes", "Donald Colvin"]
total_compensation = 0
for director in top_3_directors:
    total_compensation += df["DIRECTOR COMPENSATION -- " + director]["Total ($)"]
answer = total_compensation