注:纯模拟,无技术含量
#include<bits/stdc++.h>
using namespace std;
typedef long long ll;
#define PLL pair<ll,ll>
const ll N=1e8+10;
struct frac{
ll mom;
ll son;
void easy(){
ll gcd=__gcd(mom,son);
mom/=gcd;
son/=gcd;
if(mom<0 && son<0){
mom*=-1,son*=-1;
}
else if(mom<0 || son<0){
son=-abs(son),mom=abs(mom);
}
}
frac operator+(frac &b){
ll m=mom,bm=b.mom;
mom*=bm,b.mom*=m;
son*=bm,b.son*=m;
frac res(son+b.son,mom);
easy();
b.easy();
return res;
}
frac operator-(frac &b){
ll m=mom,bm=b.mom;
mom*=bm,b.mom*=m;
son*=bm,b.son*=m;
frac res(son-b.son,mom);
easy();
b.easy();
return res;
}
frac operator*(const frac &b){
frac res(son*b.son,mom*b.mom);
res.easy();
return res;
}
frac operator/(frac &b){
frac tmp(b.mom,b.son);
frac res=(*this)*tmp;
res.easy();
return res;
}
void output(){
easy();
if(mom!=1)
cout<<son<<"/"<<mom;
else{
cout<<son;
}
}
frac(){
son=0;
mom=1;
}
frac(ll son,ll mom):mom(mom),son(son){
easy();
}
};
frac frac_max(frac x,frac y){
if(x.son>=0 && y.son<0)
return x;
else if(x.son<0 && y.son>=0){
return y;
}
bool pos=(x.son>=0 && y.son>=0);
x.son=abs(x.son);
y.son=abs(y.son);
frac res;
ll xm=x.mom,ym=y.mom;
x.mom*=ym,y.mom*=xm;
x.son*=ym,y.son*=xm;
if(x.son>y.son){
if(pos)
res=x;
else
res=frac(0,1)-y;
}
else{
if(pos)
res=y;
else
res=frac(0,1)-x;
}
x.easy();
y.easy();
return res;
}
bool is_square(ll x){
return floor(sqrt(x))==sqrt(x);
}
ll a,b,c;
void solve(){
cin>>a>>b>>c;
ll delta=b*b-4*a*c;
if(delta<0){
cout<<"NO\n";
return;
}
else if(delta>=0){
if(is_square(delta)){
frac ans1(-b+sqrt(delta),2*a);
frac ans2(-b-sqrt(delta),2*a);
frac tmp=frac_max(ans1,ans2);
tmp.output();
cout<<"\n";
return;
}
else{
frac q1(-b,2*a);
frac q2(1,2*a);
for(ll i=1;i*i<=delta;i++){
if(delta%(i*i)==0){
delta/=i*i;
q2=q2*frac(i,1);
}
}
q1.easy();
q2.easy();
if(q1.son!=0){
q1.output();
cout<<"+";
}
if(q2.son==q2.mom){
cout<<"sqrt("<<delta<<")";
}
else if(q2.mom==1){
q2.output();
cout<<"*sqrt("<<delta<<")";
}
else if(q2.son==1){
cout<<"sqrt("<<delta<<")/"<<q2.mom;
}
else{
cout<<q2.son<<"*sqrt("<<delta<<")/"<<q2.mom;
}
cout<<"\n";
return;
}
}
}
int main(){
ios::sync_with_stdio(false),cin.tie(0),cout.tie(0);
ll t,m;
cin>>t>>m;
while(t--){
solve();
}
return 0;
}