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Cod sursa(job #428280)
#include <cstdio>
#include <cstdlib>
#include <cmath>
#include <cstring>
#define MAX 1000000
long long sol[MAX][4],sol2[MAX][4],ns=0,ns2=0;
long long a,b,c,k,c1,c2,dd;
long long d,i;
void printeq(long long eq[]){
printf("(");
if(eq[0]!=1&&eq[0]!=-1){
printf("%lld",eq[0]);
}else if(eq[0]==-1){
printf("-");
}
printf("x%c%lld)(",(eq[1]>0)?'+':'-',(eq[1]>0)?eq[1]:-eq[1]);
if(eq[2]!=1&&eq[2]!=-1){
printf("%lld",eq[2]);
}else if(eq[2]==-1){
printf("-");
}
printf("x%c%lld)\n",(eq[3]>0)?'+':'-',(eq[3]>0)?eq[3]:-eq[3]);
}
void addSol(long long s){
if(((s*c1)%dd==0)&&(c2*a)%(dd*s)==0){
sol[ns][0]=s;
sol[ns][1]=-(c1*s)/dd;
sol[ns][2]=a/s;
sol[ns][3]=-(c2*a)/(s*dd);
ns++;
}
if(((s*c2)%dd==0)&&(c1*a)%(dd*s)==0){
sol[ns][0]=s;
sol[ns][1]=-(c2*s)/dd;
sol[ns][2]=a/s;
sol[ns][3]=-(c1*a)/(s*dd);
ns++;
}
}
int comp(const void* p1,const void* p2){
long long *v1=(long long*)p1,*v2=(long long*)p2;
if(v1[0]-v2[0]==0){
return v1[1]-v2[1];
}else{
return v1[0]-v2[0];
}
}
int main(){
FILE* fin=fopen("ecuatie.in","r");
freopen("ecuatie.out","wt",stdout);
fscanf(fin,"%lld %lld %lld %lld",&a,&b,&c,&k);
d=b*b-4*a*c;
i=(long long)sqrt(abs(d));
if(true){
c1=-b-i,c2=-b+i,dd=2*a;
long long l=sqrt(abs(a));
for(long long i=1;i<=l;i++){
if(a%i==0){
addSol(i),addSol(-i);
addSol(a/i),addSol(-a/i);
}
}
qsort(sol,ns,32,comp);
for(int i=0;i<ns;i++){
memcpy(sol2[ns2++],sol[i],32);
// printeq(sol2[ns2-1]);
while(!memcmp(sol[i],sol[i+1],32)&&i<ns-1){
i++;
}
}
if(k<=ns2){
printeq(sol2[k-1]);
}else{
printf("-1");
return 0;
}
}else{
printf("-1");
}
return 0;
}