Created
May 10, 2025 10:31
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def extended_gcd(a, b): | |
if b == 0: | |
return (a, 1, 0) | |
else: | |
g, x1, y1 = extended_gcd(b, a % b) | |
x = y1 | |
y = x1 - (a // b) * y1 | |
return (g, x, y) | |
a = int(input()) | |
b = int(input()) | |
c = int(input()) | |
d, x0, y0 = extended_gcd(a, b) | |
if c % d != 0: | |
print("Impossible") | |
else: | |
k = c // d | |
x_part = x0 * k | |
y_part = y0 * k | |
b_div_d = b // d | |
a_div_d = a // d | |
x_min = x_part % b_div_d | |
t = (x_min - x_part) // b_div_d | |
y_min = y_part - a_div_d * t | |
print(x_min, y_min) |
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