This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
using namespace std;
#define int long long
#define FOR(i,s,e) for(int i = s; i <= (int)e; ++i)
#define DEC(i,s,e) for(int i = s; i >= (int)e; --i)
#define IAMSPEED ios_base::sync_with_stdio(false); cin.tie(0);
#ifdef LOCAL
#define db(x) cerr << #x << "=" << x << "\n"
#define db2(x, y) cerr << #x << "=" << x << " , " << #y << "=" << y << "\n"
#define db3(a,b,c) cerr<<#a<<"="<<a<<","<<#b<<"="<<b<<","<<#c<<"="<<c<<"\n"
#define dbv(v) cerr << #v << ":"; for (auto ite : v) cerr << ite << ' '; cerr <<"\n"
#define dbvp(v) cerr << #v << ":"; for (auto ite : v) cerr << "{" << ite.f << ',' << ite.s << "} "; cerr << "\n"
#define dba(a,ss,ee) cerr << #a << ":"; FOR(ite,ss,ee) cerr << a[ite] << ' '; cerr << "\n"
#define reach cerr << "LINE: " << __LINE__ << "\n";
#else
#define reach
#define db(x)
#define db2(x,y)
#define db3(a,b,c)
#define dbv(v)
#define dbvp(v)
#define dba(a,ss,ee)
#endif
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
#define pb push_back
#define eb emplace_back
#define all(x) (x).begin(), (x).end()
#define f first
#define s second
#define g0(x) get<0>(x)
#define g1(x) get<1>(x)
#define g2(x) get<2>(x)
#define g3(x) get<3>(x)
typedef pair <int, int> pi;
typedef tuple<int,int,int> ti3;
typedef tuple<int,int,int,int> ti4;
int rand(int a, int b) { return a + rng() % (b-a+1); }
const int MOD = 1e9 + 7;
const int inf = (int)1e9 + 500;
const long long oo = (long long)1e18 + 500;
template <typename T> void chmax(T& a, const T b) { a=max(a,b); }
template <typename T> void chmin(T& a, const T b) { a=min(a,b); }
const int MAXN = 100005;
map<int,set<pi>> S0;
map<int,set<pi>> S1;
struct node {
int s,e,m;
pi val;
node *l=nullptr, *r=nullptr;
node (int _s, int _e) {
s=_s;e=_e;m=(s+e)/2;
val={oo,0};
}
void update(int x, pi nval) {
if(s==e) {
val=nval;
return;
}
if(x>m){
if(r==nullptr)r=new node(m+1,e);
r->update(x,nval);
} else {
if(l==nullptr)l=new node(s,m);
l->update(x,nval);
}
val=min(l?l->val:pi(oo,0),r?r->val:pi(oo,0));
}
pi query(int x, int y) {
if(s==x&&e==y)return val;
if(x>m) {
if(r==nullptr)r=new node(m+1,e);
return r->query(x,y);
} else if(y<=m) {
if(l==nullptr)l=new node(s,m);
return l->query(x,y);
} else {
if(l==nullptr)l=new node(s,m);
if(r==nullptr)r=new node(m+1,e);
return min(l->query(x,m),r->query(m+1,y));
}
}
} *roots[2];
int T[MAXN];
int L[MAXN];
int R[MAXN];
int C[MAXN];
int dist[MAXN];
int32_t main()
{
IAMSPEED
int n,m;
roots[0]=new node(0,inf);
roots[1]=new node(0,inf);
cin >> n >> m;
priority_queue<pi,vector<pi>,greater<pi>> pq;
FOR(i,1,m)dist[i]=oo;
FOR(i,1,m){
cin >> T[i] >> L[i] >> R[i] >> C[i];
++R[i];
if(L[i]==1) {
dist[i]=C[i];
pq.push({C[i],i});
}
}
FOR(i,1,m) {
if(L[i]==1)continue;
int plus=L[i]+T[i];
S0[T[i]].insert({plus,i});
int minus=L[i]-T[i];
S1[T[i]].insert({minus,i});
}
for(auto t:S0) {
roots[0]->update(t.f,*t.s.begin());
}
for(auto t:S1) {
roots[1]->update(t.f,*t.s.begin());
}
while(pq.size()) {
pi cur=pq.top(); pq.pop();
int x=cur.s;
int d=cur.f;
db3(x,d,dist[x]);
if(dist[x]!=d)continue;
if(R[x]==n+1){
cout<<d<<'\n';exit(0);
}
for(pi res=roots[0]->query(T[x],inf);res.f!=oo;res=roots[0]->query(T[x],inf)){
int val = res.f;
int idx = res.s;
if(val<=R[x]+T[x]){
db2(idx,val);
dist[idx]=dist[x]+C[idx];
pq.push({dist[idx],idx});
S0[T[idx]].erase({L[idx]+T[idx],idx});
if(S0[T[idx]].size())roots[0]->update(T[idx],*S0[T[idx]].begin());
else roots[0]->update(T[idx],{oo,oo});
S1[T[idx]].erase({L[idx]-T[idx],idx});
if(S1[T[idx]].size())roots[1]->update(T[idx],*S1[T[idx]].begin());
else roots[1]->update(T[idx],{oo,oo});
} else {
break;
}
}
reach
for(pi res=roots[1]->query(0,T[x]);res.f!=oo;res=roots[1]->query(0,T[x])){
int val = res.f;
int idx = res.s;
if(val<=R[x]-T[x]){
db2(idx,val);
dist[idx]=dist[x]+C[idx];
pq.push({dist[idx],idx});
S0[T[idx]].erase({L[idx]+T[idx],idx});
if(S0[T[idx]].size())roots[0]->update(T[idx],*S0[T[idx]].begin());
else roots[0]->update(T[idx],{oo,oo});
S1[T[idx]].erase({L[idx]-T[idx],idx});
if(S1[T[idx]].size())roots[1]->update(T[idx],*S1[T[idx]].begin());
else roots[1]->update(T[idx],{oo,oo});
} else {
break;
}
}
}
cout<<-1<<'\n';
return (0-0) ;
}
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