1.6 KB | 1592 chars
"""
[29649: Верное выражение](https://www.acmicpc.net/problem/29649)
Tier: Bronze 2
Category: arbitrary_precision, arithmetic, implementation, math
"""
import sys
from math import sqrt, pi, sin, factorial, ceil, floor
from datetime import datetime, timedelta
SYS_INPUT = True
RECURSION_LIMIT = 10 ** 7
SET_RECURSION = False
BLANK = " "
if SET_RECURSION:
sys.setrecursionlimit(RECURSION_LIMIT)
inp = lambda : sys.stdin.readline().rstrip() if SYS_INPUT else input()
mii = lambda : [*map(int,inp().split())]
mfi = lambda : [*map(float,inp().split())]
ii = lambda : int(inp())
fi = lambda : float(inp())
isplit = lambda : inp().split()
p = print
def gcd(a, b): return gcd(b, a % b) if b > 0 else a
def lcm(a, b): return a * b // gcd(a, b)
def f(num, base):
ret = 0
crt = 1
while num > 0:
ret += crt * (num % 10)
crt *= base
num //= 10
return ret
def solve():
a, c = input().split(" = ")
flag = 0
if "+" in a:
a, b = a.split(" + ")
elif "-" in a:
a, b = a.split(" - ")
flag = 1
else:
a, b = a.split(" * ")
flag = 2
mx = max([int(i) for i in a + b + c])
mx = max(mx, 1)
a = int(a)
b = int(b)
c = int(c)
ans = []
for base in range(mx + 1, 11):
if flag == 0:
if f(a, base) + f(b, base) == f(c, base):
ans.append(base)
elif flag == 1:
if f(a, base) - f(b, base) == f(c, base):
ans.append(base)
else:
if f(a, base) * f(b, base) == f(c, base):
ans.append(base)
p(len(ans))
p(*ans)
if __name__ == "__main__":
tc = 1
for t in range(1, tc+1):
ret = solve()