
#include <bits/stdc++.h>
#define ll unsigned long long
using namespace std;
ll n,k,sum,ans;
ll t[105],l[105],w[105];
int judge(ll s){
sum=0;
int i;
for(i=0;i<n;i++){
ll circle=s/(t[i]*l[i]+w[i]);
ll resttime=s%(t[i]*l[i]+w[i]);
sum+=circle*l[i];
if(resttime>=t[i]*l[i]){
sum+=l[i];
}else if(resttime>t[i]){
sum+=resttime/t[i];
}
}
if(sum<k)return 0;
else return 1;
}
void solve(){
cin>>n>>k;
int i;
for(i=0;i<n;i++){
cin>>t[i]>>l[i]>>w[i];
}
ll l1=0,r1=1e12,mid;
while(l1<=r1){
mid=(l1+r1)>>1;
if(judge(mid)){
ans=mid;
r1=mid-1;
}else{
l1=mid+1;
}
}
cout<<ans<<endl;
}
int main()
{
int t;
cin>>t;
while(t--){
solve();
}
return 0;
}