The seven-digit number 25AB33C is said to be a multiple of 8, a multiple of 9, and a multiple of 11. Find the sum of A, B, and C
25AB33C [OP_GEN_POSSIBLE_LIST] 8 [OP_LIST_DIVISIBLE] 9 [OP_LIST_DIVISIBLE] 11 [OP_LIST_DIVISIBLE] 25AB33C A [OP_LIST_FIND_UNK] 25AB33C B [OP_LIST_FIND_UNK] [OP_ADD] 25AB33C C [OP_LIST_FIND_UNK] [OP_ADD]
var_a = '25AB33C'
ans_dict = dict()
var_a = str(var_a)
list_a = []
variable_candi = set(['A', 'B', 'C', 'D', 'E', 'F', 'G', 'H', 'I', 'J', 'K', 'L', 'M', 'N', 'O', 'P', 'Q', 'R', 'S', 'T', 'U', 'V', 'W', 'X', 'Y', 'Z'])
for v in set(var_a):
    if v in variable_candi:
        ans_dict[v] = 0
candi = list(itertools.product('0123456789', repeat=len(ans_dict)))
for c in candi:
    temp = var_a
    for i, (k, _) in enumerate(ans_dict.items()):
        temp = temp.replace(k, str(c[i]))
    if len(var_a) == len(str(int(temp))):
        new_elem = int(temp)
        list_a.append(new_elem)
var_b = 8
list_b = []
var_b = int(var_b)
for i in list_a:
    i = int(i)
    if i % var_b == 0:
        list_b.append(i)
var_c = 9
list_c = []
var_c = int(var_c)
for i in list_b:
    i = int(i)
    if i % var_c == 0:
        list_c.append(i)
var_d = 11
list_d = []
var_d = int(var_d)
for i in list_c:
    i = int(i)
    if i % var_d == 0:
        list_d.append(i)
var_e = '25AB33C'
var_f = 'A'
var_e = str(var_e)
var_f = str(var_f)
unk_idx = var_e.index(var_f)
var_g = 0
for elem in list_d:
    elem = str(elem)
    var_g = int(elem[unk_idx])
var_h = '25AB33C'
var_i = 'B'
var_h = str(var_h)
var_i = str(var_i)
unk_idx = var_h.index(var_i)
var_j = 0
for elem in list_d:
    elem = str(elem)
    var_j = int(elem[unk_idx])
var_k = var_g + var_j
var_l = '25AB33C'
var_m = 'C'
var_l = str(var_l)
var_m = str(var_m)
unk_idx = var_l.index(var_m)
var_n = 0
for elem in list_d:
    elem = str(elem)
    var_n = int(elem[unk_idx])
var_o = var_k + var_n
print(int(var_o))