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;
typedef long long ll;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;
const int MAXN = 2e5;
const int MAXM = 2e5;
const int MAXC = 5e5;
const int MAXV = 2e6;
const ll INF = 1e18;
struct Point
{
int x, y, p;
};
struct Rect
{
int x1, y1, x2, y2;
};
struct Line
{
int x, y1, y2, p, q;
};
struct Edge
{
int u, v, w;
};
struct Query
{
ll b, h; int p;
};
int N, M, C;
Point A[MAXN+10];
Rect B[MAXM+10];
Query D[MAXC+10];
vector<int> comp;
vector<Edge> E;
void massert(bool p)
{
if(!p) while(1);
}
int getcomp(int x)
{
return lower_bound(comp.begin(), comp.end(), x)-comp.begin()+1;
}
ll tree[MAXV+10];
void init() { memset(tree, 0, sizeof(tree)); }
void update(int i, int k) { for(; i<=MAXV; i+=(i&-i)) tree[i]+=k; }
ll query(int i) { ll ret=0; for(; i>0; i-=(i&-i)) ret+=tree[i]; return ret; }
ll query(int l, int r) { return query(r)-query(l-1); }
int par[MAXN+10];
int Find(int x)
{
if(x==par[x]) return x;
return par[x]=Find(par[x]);
}
void Union(int x, int y)
{
x=Find(x); y=Find(y);
par[x]=y;
}
ll VV[MAXN+10], ans[MAXC+10];
struct LLine { ll a, b; };
double cross(LLine p, LLine q) { return (double)(q.b-p.b)/(p.a-q.a); }
struct CHT
{
vector<LLine> S;
void update(LLine p)
{
while(S.size()>1 && cross(S[S.size()-1], S[S.size()-2])<=cross(S[S.size()-1], p)) S.pop_back();
S.push_back(p);
}
ll query(ll x)
{
if(S.empty()) return -1;
int lo=0, hi=S.size();
while(lo+1<hi)
{
int mid=lo+hi>>1;
if(cross(S[mid], S[mid-1])>=x) lo=mid;
else hi=mid;
}
return S[lo].a*x+S[lo].b;
}
} cht;
int main()
{
scanf("%d%d%d", &N, &M, &C);
for(int i=1; i<=N; i++) scanf("%d%d", &A[i].x, &A[i].y), A[i].p=i;
for(int i=1; i<=M; i++) scanf("%d%d%d%d", &B[i].x1, &B[i].y1, &B[i].x2, &B[i].y2);
for(int i=1; i<=N; i++) comp.push_back(A[i].x), comp.push_back(A[i].y);
for(int i=1; i<=M; i++) comp.push_back(B[i].x1), comp.push_back(B[i].x2), comp.push_back(B[i].y1), comp.push_back(B[i].y2);
sort(comp.begin(), comp.end());
comp.erase(unique(comp.begin(), comp.end()), comp.end());
massert(comp.size()<=MAXV);
{
vector<Line> V; init();
sort(A+1, A+N+1, [&](const Point &p, const Point &q)
{
if(p.x==q.x) return p.y<q.y;
return p.x<q.x;
});
for(int i=2; i<=N; i++)
{
if(A[i].x!=A[i-1].x) continue;
V.push_back({A[i].x, A[i-1].y, A[i].y, 0, i});
}
for(int i=1; i<=M; i++)
{
V.push_back({B[i].x1, B[i].y1, B[i].y2, 1, 0});
V.push_back({B[i].x2, B[i].y1, B[i].y2, -1, 0});
}
sort(V.begin(), V.end(), [&](const Line &p, const Line &q)
{
if(p.x!=q.x) return p.x<q.x;
return p.p>q.p;
});
for(auto it : V)
{
if(it.p!=0)
{
update(getcomp(it.y1), it.p);
update(getcomp(it.y2), it.p);
}
else
{
if(query(getcomp(it.y1), getcomp(it.y2))==0)
{
E.push_back({A[it.q-1].p, A[it.q].p, A[it.q].y-A[it.q-1].y});
}
}
}
}
//for(auto it : E) printf("E : %d %d %d\n", it.u, it.v, it.w);
{
vector<Line> V; init();
sort(A+1, A+N+1, [&](const Point &p, const Point &q)
{
if(p.y==q.y) return p.x<q.x;
return p.y<q.y;
});
for(int i=2; i<=N; i++)
{
if(A[i].y!=A[i-1].y) continue;
V.push_back({A[i].y, A[i-1].x, A[i].x, 0, i});
}
for(int i=1; i<=M; i++)
{
V.push_back({B[i].y1, B[i].x1, B[i].x2, 1, 0});
V.push_back({B[i].y2, B[i].x1, B[i].x2, -1, 0});
}
sort(V.begin(), V.end(), [&](const Line &p, const Line &q)
{
if(p.x!=q.x) return p.x<q.x;
return p.p>q.p;
});
for(auto it : V)
{
if(it.p!=0)
{
update(getcomp(it.y1), it.p);
update(getcomp(it.y2), it.p);
}
else
{
if(query(getcomp(it.y1), getcomp(it.y2))==0)
{
E.push_back({A[it.q-1].p, A[it.q].p, A[it.q].x-A[it.q-1].x});
}
}
}
}
//for(auto it : E) printf("E : %d %d %d\n", it.u, it.v, it.w);
for(int i=1; i<=N; i++) par[i]=i;
sort(E.begin(), E.end(), [&](const Edge &p, const Edge &q)
{
return p.w<q.w;
});
int S=0;
for(auto it : E)
{
if(Find(it.u)==Find(it.v)) continue;
Union(it.u, it.v);
S++;
VV[S]=VV[S-1]+it.w;
massert(it.w>0);
}
massert(S<N);
for(int i=1; i<=C; i++)
{
scanf("%lld%lld", &D[i].b, &D[i].h);
D[i].p=i; D[i].h=N-D[i].h;
}
sort(D+1, D+C+1, [&](const Query &p, const Query &q)
{
return p.h>q.h;
});
for(int i=1, j=S; i<=C; i++)
{
for(; j>=0 && j>=D[i].h; j--) cht.update({N-j, VV[j]});
ans[D[i].p]=cht.query(D[i].b);
}
for(int i=1; i<=C; i++) printf("%lld\n", ans[i]);
}
Compilation message (stderr)
construction.cpp: In member function 'll CHT::query(ll)':
construction.cpp:95:14: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
95 | int mid=lo+hi>>1;
| ~~^~~
construction.cpp: In function 'int main()':
construction.cpp:105:7: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
105 | scanf("%d%d%d", &N, &M, &C);
| ~~~~~^~~~~~~~~~~~~~~~~~~~~~
construction.cpp:106:31: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
106 | for(int i=1; i<=N; i++) scanf("%d%d", &A[i].x, &A[i].y), A[i].p=i;
| ~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~
construction.cpp:107:31: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
107 | for(int i=1; i<=M; i++) scanf("%d%d%d%d", &B[i].x1, &B[i].y1, &B[i].x2, &B[i].y2);
| ~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
construction.cpp:221:8: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
221 | scanf("%lld%lld", &D[i].b, &D[i].h);
| ~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
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