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>
#define sz first
#define col second
using namespace std;
const int MN = 1e5+9;
typedef pair<int,int> pii;
struct line{
int A,B,C,D;
line(){};
line(int a, int b, int c, int d){
A = a, B = b , C = c, D = d;
}
} L[MN];
struct event{
int s,e,t,v;
event(){};
event(int a, int b, int c, int d){
s = a, e = b, t = c, v = d;
}
bool operator < (const event &A) const{
if(t==A.t){
return A.v<v;
}
return t<A.t;
}
} E[2*MN];
int W,H,N,A,B,C,D,par[MN],cnt,comp,nume;
long long inter;
bool ch[MN];
pii T[3*MN];
vector<int> X,Y;
int fnd(int a)
{
return par[a]==a ? a : par[a] = fnd(par[a]);
}
void join(int a, int b)
{
if(a==0 || b==0) return;
a = fnd(a), b = fnd(b);
if(a!=b) par[b] = a;
}
void upt(int x, int v, int s, int e, int pos)
{
if(x<s || x>e) return;
int c = T[pos].col;
if(c){
if(T[2*pos].sz) join(T[2*pos].col,c);
if(T[2*pos+1].sz) join(T[2*pos+1].col,c);
T[2*pos].col = c;
T[2*pos+1].col = c;
T[pos].col = 0;
}
if(s==e){
T[pos].sz += v;
return;
}
int m = (s+e)/2;
upt(x,v,s,m,2*pos);
upt(x,v,m+1,e,2*pos+1);
T[pos].sz = T[2*pos].sz + T[2*pos+1].sz;
}
int sum(int l, int r, int s, int e, int pos)
{
if(l>r) return 0;
if(r<s || e<l) return 0;
if(l<=s && e<=r) return T[pos].sz;
int m = (s+e)/2;
return sum(l,r,s,m,2*pos)+sum(l,r,m+1,e,2*pos+1);
}
void act(int l, int r, int s, int e, int pos)
{
if(r<s || l>e) return;
int c = T[pos].col;
if(c){
if(T[2*pos].sz) join(T[2*pos].col,c);
if(T[2*pos+1].sz) join(T[2*pos+1].col,c);
T[2*pos].col = c;
T[2*pos+1].col = c;
T[pos].col = 0;
}
if(l<=s && e<=r){
if(T[pos].sz) join(c,cnt);
T[pos].col = cnt;
return;
}
int m = (s+e)/2;
act(l,r,s,m,2*pos);
act(l,r,m+1,e,2*pos+1);
}
int main()
{
//freopen("input.txt","r",stdin);
cin >> W >> H >> N;
for(int i=0; i<N; i++){
cin >> A >> B >> C >> D;
if(A>C) swap(A,C);
if(B>D) swap(B,D);
L[i] = line(A,B,C,D);
X.push_back(A);
X.push_back(C);
Y.push_back(B);
Y.push_back(D);
}
L[N] = line(0,0,0,H);
L[N+1] = line(0,0,W,0);
L[N+2] = line(0,H,W,H);
L[N+3] = line(W,0,W,H);
X.push_back(0);
X.push_back(W);
Y.push_back(0);
Y.push_back(H);
sort(X.begin(),X.end());
sort(Y.begin(),Y.end());
X.erase(unique(X.begin(),X.end()),X.end());
Y.erase(unique(Y.begin(),Y.end()),Y.end());
nume = N+4;
for(int i=0; i<N+4; i++){
L[i].A = lower_bound(X.begin(),X.end(),L[i].A)-X.begin();
L[i].C = lower_bound(X.begin(),X.end(),L[i].C)-X.begin();
L[i].B = lower_bound(Y.begin(),Y.end(),L[i].B)-Y.begin();
L[i].D = lower_bound(Y.begin(),Y.end(),L[i].D)-Y.begin();
if(L[i].C!=L[i].A){
E[i] = event(L[i].B,L[i].D,L[i].A,1);
E[nume++] = event(L[i].B,L[i].D,L[i].C,-1);
} else E[i] = event(L[i].B,L[i].D,L[i].C,0);
}
sort(E,E+nume);
for(int i=0; i<nume; i++){
if(E[i].v) upt(E[i].s,E[i].v,0,Y.size()-1,1);
else{
cnt++;
par[cnt] = cnt;
act(E[i].s,E[i].e,0,Y.size()-1,1);
inter += sum(E[i].s,E[i].e,0,Y.size()-1,1);
}
}
for(int i=1; i<=cnt; i++) ch[fnd(i)] = true;
for(int i=1; i<=cnt; i++) comp += ch[i];
cout << inter+comp-N-4;
}
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