#line 1 "data_structure/test/LC_segment_add_get_min.test.cpp"
#define PROBLEM "https://judge.yosupo.jp/problem/segment_add_get_min"
#line 2 "data_structure/li_chao_tree.hpp"
#include<limits>
#include<cmath>
#include<algorithm>
/**
* @brief LiChaoTree
*/
template<typename T>
class LHT{
using lint = long long;
struct node;
using np = node*;
struct node{
T a,b;
np ch[2]={nullptr,nullptr};
node(T a,T b):a(a),b(b){}
};
np root=nullptr;
T sign(T x){return (x>0)-(x<0);}
np update(T a,T b,lint p,lint q,lint l,lint r,np t){
if(!t)t=new node(0,std::numeric_limits<T>::max());
//区間外
if(r<=p||q<=l)return t;
//全て区間内
if(p<=l&&r<=q){
lint m=(l+r)/2;
if(a*m+b<=(t->a)*m+(t->b)){
std::swap(a,t->a);
std::swap(b,t->b);
}
if(r-l==1||a==t->a)return t;
if(sign((a-t->a)*l+(b-t->b))*sign((a-t->a)*m+(b-t->b))<=0)t->ch[0]=update(a,b,p,q,l,m,t->ch[0]);
if(sign((a-t->a)*m+(b-t->b))*sign((a-t->a)*r+(b-t->b))<=0)t->ch[1]=update(a,b,p,q,m,r,t->ch[1]);
return t;
}
//一部区間内
t->ch[0]=update(a,b,p,q,l,(l+r)/2,t->ch[0]);
t->ch[1]=update(a,b,p,q,(l+r)/2,r,t->ch[1]);
return t;
}
T get(lint x,lint l,lint r,np t){
if(!t)return std::numeric_limits<T>::max();
if(r-l==1)return t->a*x+t->b;
lint m=(l+r)/2;
if(l<=x&&x<m)return std::min(t->a*x+t->b,get(x,l,m,t->ch[0]));
else return std::min(t->a*x+t->b,get(x,m,r,t->ch[1]));
}
lint mn;
lint mx;
public:
LHT(lint mn=-1LL<<30,lint mx=1LL<<30):mn(mn),mx(mx){}
T get(lint x){
return get(x,mn,mx,root);
}
void add_line(T a,T b){
root=update(a,b,mn,mx,mn,mx,root);
}
void add_segment(lint l,lint r,T a,T b){
root=update(a,b,l,r,mn,mx,root);
}
};
#line 2 "util/template.hpp"
#pragma GCC optimize("Ofast")
#pragma GCC optimize("unroll-loops")
#pragma GCC target("avx2")
#include<bits/stdc++.h>
using namespace std;
struct __INIT__{__INIT__(){cin.tie(0);ios::sync_with_stdio(false);cout<<fixed<<setprecision(15);}}__INIT__;
typedef long long lint;
#define INF (1LL<<60)
#define IINF (1<<30)
#define EPS (1e-10)
#define endl ('\n')
typedef vector<lint> vec;
typedef vector<vector<lint>> mat;
typedef vector<vector<vector<lint>>> mat3;
typedef vector<string> svec;
typedef vector<vector<string>> smat;
template<typename T>using V=vector<T>;
template<typename T>using VV=V<V<T>>;
template<typename T>inline void output(T t){bool f=0;for(auto i:t){cout<<(f?" ":"")<<i;f=1;}cout<<endl;}
template<typename T>inline void output2(T t){for(auto i:t)output(i);}
template<typename T>inline void debug(T t){bool f=0;for(auto i:t){cerr<<(f?" ":"")<<i;f=1;}cerr<<endl;}
template<typename T>inline void debug2(T t){for(auto i:t)output(i);}
#define loop(n) for(long long _=0;_<(long long)(n);++_)
#define _overload4(_1,_2,_3,_4,name,...) name
#define __rep(i,a) repi(i,0,a,1)
#define _rep(i,a,b) repi(i,a,b,1)
#define repi(i,a,b,c) for(long long i=(long long)(a);i<(long long)(b);i+=c)
#define rep(...) _overload4(__VA_ARGS__,repi,_rep,__rep)(__VA_ARGS__)
#define _overload3_rev(_1,_2,_3,name,...) name
#define _rep_rev(i,a) repi_rev(i,0,a)
#define repi_rev(i,a,b) for(long long i=(long long)(b)-1;i>=(long long)(a);--i)
#define rrep(...) _overload3_rev(__VA_ARGS__,repi_rev,_rep_rev)(__VA_ARGS__)
// #define rep(i,...) for(auto i:range(__VA_ARGS__))
// #define rrep(i,...) for(auto i:reversed(range(__VA_ARGS__)))
// #define repi(i,a,b) for(lint i=lint(a);i<(lint)(b);++i)
// #define rrepi(i,a,b) for(lint i=lint(b)-1;i>=lint(a);--i)
// #define irep(i) for(lint i=0;;++i)
// inline vector<long long> range(long long n){if(n<=0)return vector<long long>();vector<long long>v(n);iota(v.begin(),v.end(),0LL);return v;}
// inline vector<long long> range(long long a,long long b){if(b<=a)return vector<long long>();vector<long long>v(b-a);iota(v.begin(),v.end(),a);return v;}
// inline vector<long long> range(long long a,long long b,long long c){if((b-a+c-1)/c<=0)return vector<long long>();vector<long long>v((b-a+c-1)/c);for(int i=0;i<(int)v.size();++i)v[i]=i?v[i-1]+c:a;return v;}
// template<typename T>inline T reversed(T v){reverse(v.begin(),v.end());return v;}
#define all(n) begin(n),end(n)
template<typename T,typename E>bool chmin(T& s,const E& t){bool res=s>t;s=min<T>(s,t);return res;}
template<typename T,typename E>bool chmax(T& s,const E& t){bool res=s<t;s=max<T>(s,t);return res;}
const vector<lint> dx={1,0,-1,0,1,1,-1,-1};
const vector<lint> dy={0,1,0,-1,1,-1,1,-1};
#define SUM(v) accumulate(all(v),0LL)
template<typename T,typename ...Args>auto make_vector(T x,int arg,Args ...args){if constexpr(sizeof...(args)==0)return vector<T>(arg,x);else return vector(arg,make_vector<T>(x,args...));}
#define extrep(v,...) for(auto v:__MAKE_MAT__({__VA_ARGS__}))
#define bit(n,a) ((n>>a)&1)
vector<vector<long long>> __MAKE_MAT__(vector<long long> v){if(v.empty())return vector<vector<long long>>(1,vector<long long>());long long n=v.back();v.pop_back();vector<vector<long long>> ret;vector<vector<long long>> tmp=__MAKE_MAT__(v);for(auto e:tmp)for(long long i=0;i<n;++i){ret.push_back(e);ret.back().push_back(i);}return ret;}
using graph=vector<vector<int>>;
template<typename T>using graph_w=vector<vector<pair<int,T>>>;
template<typename T,typename E>ostream& operator<<(ostream& out,pair<T,E>v){out<<"("<<v.first<<","<<v.second<<")";return out;}
constexpr inline long long powll(long long a,long long b){long long res=1;while(b--)res*=a;return res;}
#line 4 "data_structure/test/LC_segment_add_get_min.test.cpp"
int main(){
lint n,q;
cin>>n>>q;
LHT<lint>lht;
while(n--){
lint l,r,s,t;
cin>>l>>r>>s>>t;
lht.add_segment(l,r,s,t);
}
while(q--){
lint c;
cin>>c;
if(c==0){
lint l,r,s,t;
cin>>l>>r>>s>>t;
lht.add_segment(l,r,s,t);
}else{
lint x;
cin>>x;
lint t=lht.get(x);
if(t==std::numeric_limits<lint>::max())cout<<"INFINITY"<<endl;
else cout<<t<<endl;
}
}
}
data_structure/test/LC_segment_add_get_min.test.cpp