If real numbers a, B and C satisfy A2 + B2 + C2 + 4 ≤ AB + 3B + 2c, then 200A + 9b + C=______ .

If real numbers a, B and C satisfy A2 + B2 + C2 + 4 ≤ AB + 3B + 2c, then 200A + 9b + C=______ .

The results are as follows: A2 + B2 + C2 + 4 - (AB + 3B + 2C) ≤ 0, (a2-ab + B24) + (34b2-3b + 3) + (c2-2c + 1) ≤ 0, (a-b2) 2 + 34 (b-2) 2 + (C-1) 2 ≤ 0 ∧ a-b2 = 0, B-2 = 0, C-1 = 0, ∧ a = 1, B = 2, C = 1, ∧ 200A + 9b + C = 200 + 18 + 1 = 219