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Cod sursa(job #775705)
#include<cstdio>
using namespace std;
int cm,x1,y1,s1,s2,a,b,c,n,i1;
int cmmdc(int a,int b)
{
int r;
while(b!=0)
{
r=a%b;
a=b;
b=r;
}
return a;
}
void rez(int a,int b,int c)
{
int r,n1,n2,i,nr=0,d1[10005],d2[10005];
n1=a;
n2=b;
while(n2>1)
{
nr++;
r=n1%n2;
n1=n2;
n2=r;
}
d1[nr]=1;
d2[nr]=c-n1;
for(i=nr-1;i>=0;i--)
{
d1[i]=d2[i+1];
d2[i]=d1[i+1]-d1[i];
}
for(i=0;i<=1;i++)
{
x1=d1[i];
y1=d2[i];
if(x1*a*s1+y1*b*s2==c) break;
}
}
int main()
{
freopen("euclid3.in","r",stdin);
freopen("euclid3.out","w",stdout);
scanf("%d",&n);
for(i1=1;i1<=n;i1++)
{
scanf("%d",&a);
scanf("%d",&b);
scanf("%d",&c);
s1=1;
s2=1;
if(a<0)
{
a=a*-1;
s1=-1;
}
if(b<0)
{
b=b*-1;
s2=-1;
}
cm=cmmdc(a,b);
if(c%cm!=0) printf("0 0\n");
else
{
rez(a/cm,b/cm,c/cm);
x1=x1*s1;
y1=y1*s2;
printf("%d %d\n",x1,y1);
}
}
return 0;
}