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>
#include "rainbow.h"
#define rep(a,b,c) for(int a=b; a<c; a++)
#define repa(a,b) for(auto a: b)
#define pii pair<int, int>
#define fi first
#define se second
#define pb push_back
using namespace std;
int timer=1;
map<pii,int> pos;
set<int> river;
set<int> rows[200005], cols[200005];
vector<pii> nriver;
void init(int R, int C, int sr, int sc, int M, char *S){
if(!pos[{sr,sc}]) pos[{sr,sc}]=timer++;
river.insert(pos[{sr,sc}]);
rep(i,0,2e5+5){
cols[i].insert(0);
cols[i].insert(R+1);
rows[i].insert(0);
rows[i].insert(C+1);
}
rep(i,0,M){
nriver.pb({sr+1,sc});
nriver.pb({sr-1,sc});
nriver.pb({sr,sc+1});
nriver.pb({sr,sc-1});
rows[sr].insert(sc);
cols[sc].insert(sr);
if(S[i]=='N') sr--;
else if(S[i]=='S') sr++;
else if(S[i]=='W') sc--;
else sc++;
if(!pos[{sr,sc}]) pos[{sr,sc}]=timer++;
river.insert(pos[{sr,sc}]);
}
nriver.pb({sr+1,sc});
nriver.pb({sr-1,sc});
nriver.pb({sr,sc+1});
nriver.pb({sr,sc-1});
rows[sr].insert(sc);
cols[sc].insert(sr);
}
set<int> vis;
vector<int> dsu(10000005);
int find(int a){
if(!dsu[a] || dsu[a]==a) return a;
return dsu[a]=find(dsu[a]);
}
void join(int a, int b){
dsu[find(a)]=find(b);
}
void dfs(int x, int y, int ar, int ac, int br, int bc){
if(x<ar || x>br || y<ac || y>bc) return;
if(!pos[{x,y}]) pos[{x,y}]=timer++;
vis.insert(pos[{x,y}]);
join(pos[{x,y}],pos[{x,y}]);
auto it=rows[x].lower_bound(y);
int y1, y2, x1, x2;
y2=*it;
it--;
y1=*it;
it=cols[y].lower_bound(x);
x2=*it;
it--;
x1=*it;
y1=max(y1,ac-1)+1;
y2=min(y2,bc+1)-1;
x1=max(x1,ar-1)+1;
x2=min(x2,br+1)-1;
if(!river.count(pos[{x,y1}]) && !vis.count(pos[{x,y1}])) dfs(x,y1,ar,ac,br,bc);
if(!river.count(pos[{x,y2}]) && !vis.count(pos[{x,y2}])) dfs(x,y2,ar,ac,br,bc);
if(!river.count(pos[{x1,y}]) && !vis.count(pos[{x1,y}])) dfs(x1,y,ar,ac,br,bc);
if(!river.count(pos[{x2,y}]) && !vis.count(pos[{x2,y}])) dfs(x2,y,ar,ac,br,bc);
if(!river.count(pos[{x,y1}])) join(pos[{x,y}],pos[{x,y1}]);
if(!river.count(pos[{x,y2}])) join(pos[{x,y}],pos[{x,y2}]);
if(!river.count(pos[{x1,y}])) join(pos[{x,y}],pos[{x1,y}]);
if(!river.count(pos[{x2,y}])) join(pos[{x,y}],pos[{x2,y}]);
}
int colour(int ar, int ac, int br, int bc){
vis.clear();
int c=0;
if(!pos[{ar,ac}]) pos[{ar,ac}]=timer++;
if(!pos[{br,bc}]) pos[{br,bc}]=timer++;
nriver.pb({ar,ac});
nriver.pb({br,bc});
vector<pii> ext;
repa(e,nriver) if(!river.count(pos[e]) && !vis.count(pos[e])){
ext.pb({e.fi+1,e.se});
ext.pb({e.fi-1,e.se});
ext.pb({e.fi,e.se+1});
ext.pb({e.fi,e.se-1});
dfs(e.fi,e.se,ar,ac,br,bc);
}
repa(e,nriver) if(!river.count(pos[e]) && !vis.count(pos[e])) dfs(e.fi,e.se,ar,ac,br,bc);
repa(e,ext) if(!river.count(pos[e]) && !vis.count(pos[e])) dfs(e.fi,e.se,ar,ac,br,bc);
nriver.pop_back();
nriver.pop_back();
rep(i,1,1e7+5) if(dsu[i]==i) c++;
rep(i,1,timer+5) dsu[i]=0;
return c;
}
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