📄 pku2115.cpp
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#include <stdio.h>
__int64 pow2c;
__int64 E_gcd(__int64 a, __int64 b, __int64 &x, __int64 &y)
{
__int64 x1, y1, p;
if (b == 0)
{
x = 1;
y = 0;
return a;
}
p = E_gcd(b, a % b, x1, y1);
x = y1;
y = x1 - (a / b) * y1;
return p;
}
__int64 Pow2(int c)
{
__int64 ans;
int i;
ans = 1;
for (i = 0; i < c; i++)
{
ans *= 2;
}
return ans;
}
void Calc(int a1, int a2, int b, int c)
{
__int64 m, n, q, x, y, gcd, lcm, ans;
q = a2 - a1;
q = (q + pow2c) % pow2c;
m = b;
n = pow2c;
gcd = E_gcd(m, n, x, y);
if (q % gcd != 0)
{
printf("FOREVER\n");
}
else
{
q /= gcd;
n /= gcd;
ans = ((q * x) % n + n) % n;
printf("%I64d\n", ans);
}
}
int main()
{
int A, B, C, D, E;
while (scanf("%d %d %d %d", &A, &B, &C, &D) != -1 && (A + B + C + D))
{
pow2c = Pow2(D);
Calc(A, B, C, D);
}
return 0;
}
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