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답안 #333370

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
333370 2020-12-05T19:11:22 Z arnold518 절취선 (JOI14_ho_t5) C++14
10 / 100
 3000 ms 245892 KB 
#pragma GCC optimize ("O3")
#pragma GCC optimize ("Ofast")
#pragma GCC optimize ("unroll-loops")
 
#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 MAXV = 3.5e6;
 
struct Line
{
	int x1, y1, x2, y2, p;
};
 
int W, H, N, M, SX, SY;
Line A[MAXN+10], B[MAXN+10];
 
vector<int> xcomp, ycomp;
 
ll V, E, C=1;
 
struct BIT
{
	int tree[MAXN+10];
	void update(int i, int x) { for(; i<=SY; i+=(i&-i)) tree[i]+=x; }
	int query(int i) { int ret=0; for(; i>0; i-=(i&-i)) ret+=tree[i]; return ret; }
	int query(int l, int r) { return query(r)-query(l-1); }
}bit;
 
int LC[MAXV+10], RC[MAXV+10];
 
int ncnt;
 
int newNode()
{
	if(ncnt+1==MAXV) while(1);
	return ++ncnt;
}
 
vector<int> adj[MAXV+10];
vector<int> radj[MAXN+10];
 
void addEdge(int u, int v)
{
	//printf("%d %d\n", u, v);
	if(u==-1 || v==-1) return;
	adj[u].push_back(v);
}
 
void makeTree(int node, int tl, int tr)
{
	if(tr-tl<=2) return;
	int mid=tl+tr>>1;
	LC[node]=newNode();
	RC[node]=newNode();
	addEdge(LC[node], node);
	addEdge(RC[node], node);
	makeTree(LC[node], tl, mid);
	makeTree(RC[node], mid+1, tr);
}
 
int update(int node, int tl, int tr, int p, int k)
{
	if(p<tl || tr<p) return node;
	if(tl==tr)
	{
		if(k>0) return k;
		return -1;
	}
	int ret=newNode();
	int mid=tl+tr>>1;
	LC[ret]=update(LC[node], tl, mid, p, k);
	RC[ret]=update(RC[node], mid+1, tr, p, k);
	addEdge(LC[ret], ret);
	addEdge(RC[ret], ret);
	return ret;
}
 
void query(int node, int tl, int tr, int l, int r, int k)
{
	if(r<tl || tr<l) return;
	if(l<=tl && tr<=r)
	{
		addEdge(node, k);
		radj[k].push_back(node);
		return;
	}
	int mid=tl+tr>>1;
	query(LC[node], tl, mid, l, r, k);
	query(RC[node], mid+1, tr, l, r, k);
}
 
bool vis[MAXV+10];
vector<int> S;
void dfs(int now)
{
	vis[now]=true;
	for(int nxt : adj[now])
	{
		if(vis[nxt]) continue;
		dfs(nxt);
	}
	S.push_back(now);
}
 
int scc[MAXV+10], scnt;
void dfs2(int now)
{
	scc[now]=scnt;
	if(now>N+M)
	{
		int nxt=LC[now];
		if(nxt!=-1 && !scc[nxt]) dfs2(nxt);
		nxt=RC[now];
		if(nxt!=-1 && !scc[nxt]) dfs2(nxt);
	}
	else for(int nxt : radj[now])
	{
		if(scc[nxt]) continue;
		dfs2(nxt);
	}
}
 
int main()
{
	int t;
	scanf("%d%d%d", &W, &H, &t);
	for(int i=1; i<=t; i++)
	{
		Line p;
		scanf("%d%d%d%d", &p.x1, &p.y1, &p.x2, &p.y2);
		xcomp.push_back(p.x1);
		xcomp.push_back(p.x2);
		ycomp.push_back(p.y1);
		ycomp.push_back(p.y2);
		if(p.x1==p.x2) B[++M]=p;
		else A[++N]=p;
	}
 
	xcomp.push_back(0);
	ycomp.push_back(0);
	xcomp.push_back(W);
	ycomp.push_back(H);
 
	A[++N]={0, 0, W, 0};
	A[++N]={0, H, W, H};
	B[++M]={0, 0, 0, H};
	B[++M]={W, 0, W, H};
 
	sort(xcomp.begin(), xcomp.end());
	xcomp.erase(unique(xcomp.begin(), xcomp.end()), xcomp.end());
	sort(ycomp.begin(), ycomp.end());
	ycomp.erase(unique(ycomp.begin(), ycomp.end()), ycomp.end());
 
	SX=xcomp.size(); SY=ycomp.size();
 
	for(int i=1; i<=N; i++)
	{
		A[i].x1=lower_bound(xcomp.begin(), xcomp.end(), A[i].x1)-xcomp.begin()+1;
		A[i].x2=lower_bound(xcomp.begin(), xcomp.end(), A[i].x2)-xcomp.begin()+1;
		A[i].y1=lower_bound(ycomp.begin(), ycomp.end(), A[i].y1)-ycomp.begin()+1;
		A[i].y2=lower_bound(ycomp.begin(), ycomp.end(), A[i].y2)-ycomp.begin()+1;
		A[i].p=newNode();
	}
	for(int i=1; i<=M; i++)
	{
		B[i].x1=lower_bound(xcomp.begin(), xcomp.end(), B[i].x1)-xcomp.begin()+1;
		B[i].x2=lower_bound(xcomp.begin(), xcomp.end(), B[i].x2)-xcomp.begin()+1;
		B[i].y1=lower_bound(ycomp.begin(), ycomp.end(), B[i].y1)-ycomp.begin()+1;
		B[i].y2=lower_bound(ycomp.begin(), ycomp.end(), B[i].y2)-ycomp.begin()+1;
		B[i].p=newNode();
	}
	xcomp.clear(); xcomp.shrink_to_fit();
	ycomp.clear(); ycomp.shrink_to_fit();
 
	for(int i=1; i<=N; i++)
	{
		E+=A[i].x2-A[i].x1;
		V+=A[i].x2-A[i].x1+1;
	}
	for(int i=1; i<=M; i++)
	{
		E+=B[i].y2-B[i].y1;
		V+=B[i].y2-B[i].y1+1;
	}
 
	sort(B+1, B+M+1, [&](const Line &p, const Line &q)
	{
		return p.x1<q.x1;
	});
 
	vector<pair<pll, int>> VV;
	for(int i=1; i<=N; i++)
	{
		VV.push_back({{A[i].x1, A[i].y1}, 1});
		VV.push_back({{A[i].x2+1, A[i].y1}, -1});
	}
	sort(VV.begin(), VV.end());
 
	for(int i=1, j=0; i<=M; i++)
	{
		for(; j<VV.size() && VV[j].first.first<=B[i].x1; j++)
		{
			bit.update(VV[j].first.second, VV[j].second);
		}
		V-=bit.query(B[i].y1, B[i].y2);
	}
 
	int root;
 
	VV.clear(); VV.shrink_to_fit();
	for(int i=1; i<=N; i++)
	{
		VV.push_back({{A[i].x1, A[i].y1}, A[i].p});
		VV.push_back({{A[i].x2+1, A[i].y1}, 0});
	}
	sort(VV.begin(), VV.end());
 
	root=newNode();
	makeTree(root, 1, SY);
	for(int i=1, j=0; i<=M; i++)
	{
		for(; j<VV.size() && VV[j].first.first<=B[i].x1; j++)
		{
			root=update(root, 1, SY, VV[j].first.second, VV[j].second);
			//printf("!!%d\n", VV[j].second);
		}
		query(root, 1, SY, B[i].y1, B[i].y2, B[i].p);
		//printf("??%d\n", B[i].p);
	}
 
	VV.clear(); VV.shrink_to_fit();
	for(int i=1; i<=M; i++)
	{
		VV.push_back({{B[i].y1, B[i].x1}, B[i].p});
		VV.push_back({{B[i].y2+1, B[i].x1}, 0});
	}
	sort(VV.begin(), VV.end());
	sort(A+1, A+N+1, [&](const Line &p, const Line &q)
	{
		return p.y1<q.y1;
	});

 
	root=newNode();
	makeTree(root, 1, SX);
	for(int i=1, j=0; i<=N; i++)
	{
		for(; j<VV.size() && VV[j].first.first<=A[i].y1; j++)
		{
			root=update(root, 1, SX, VV[j].first.second, VV[j].second);
		}
		query(root, 1, SX, A[i].x1, A[i].x2, A[i].p);
	}
 
	VV.clear(); VV.shrink_to_fit();
	for(int i=1; i<=N+M; i++)
	{
		if(vis[i]) continue;
		dfs(i);
	}
	reverse(S.begin(), S.end());
	for(auto it : S)
	{
		if(scc[it]) continue;
		++scnt;
		dfs2(it);
	}
 
	set<int> SS;
	for(int i=1; i<=N+M; i++) SS.insert(scc[i]);
	C=SS.size();
 
	ll ans=C-V+E;
	printf("%lld\n", ans);
}

Compilation message

2014_ho_t5.cpp: In function 'void makeTree(int, int, int)':
2014_ho_t5.cpp:58:12: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   58 |  int mid=tl+tr>>1;
      |          ~~^~~
2014_ho_t5.cpp: In function 'int update(int, int, int, int, int)':
2014_ho_t5.cpp:76:12: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   76 |  int mid=tl+tr>>1;
      |          ~~^~~
2014_ho_t5.cpp: In function 'void query(int, int, int, int, int, int)':
2014_ho_t5.cpp:93:12: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   93 |  int mid=tl+tr>>1;
      |          ~~^~~
2014_ho_t5.cpp: In function 'int main()':
2014_ho_t5.cpp:207:10: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<std::pair<long long int, long long int>, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  207 |   for(; j<VV.size() && VV[j].first.first<=B[i].x1; j++)
      |         ~^~~~~~~~~~
2014_ho_t5.cpp:228:10: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<std::pair<long long int, long long int>, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  228 |   for(; j<VV.size() && VV[j].first.first<=B[i].x1; j++)
      |         ~^~~~~~~~~~
2014_ho_t5.cpp:254:10: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<std::pair<long long int, long long int>, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  254 |   for(; j<VV.size() && VV[j].first.first<=A[i].y1; j++)
      |         ~^~~~~~~~~~
2014_ho_t5.cpp:132:7: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
  132 |  scanf("%d%d%d", &W, &H, &t);
      |  ~~~~~^~~~~~~~~~~~~~~~~~~~~~
2014_ho_t5.cpp:136:8: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
  136 |   scanf("%d%d%d%d", &p.x1, &p.y1, &p.x2, &p.y2);
      |   ~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Subtask #1
5.0 / 5.0

# 결과 실행 시간 메모리 Grader output
1 Correct 60 ms 87276 KB Output is correct
2 Correct 60 ms 87276 KB Output is correct
3 Correct 60 ms 87276 KB Output is correct
4 Correct 62 ms 87404 KB Output is correct
5 Correct 62 ms 87404 KB Output is correct
6 Correct 61 ms 87404 KB Output is correct
7 Correct 64 ms 88044 KB Output is correct
8 Correct 68 ms 88684 KB Output is correct
9 Correct 65 ms 88428 KB Output is correct
10 Correct 67 ms 88812 KB Output is correct
11 Correct 68 ms 88684 KB Output is correct
12 Correct 63 ms 88044 KB Output is correct
13 Correct 67 ms 88940 KB Output is correct
14 Correct 68 ms 88428 KB Output is correct
15 Correct 67 ms 88428 KB Output is correct
16 Correct 62 ms 87276 KB Output is correct
17 Correct 61 ms 87276 KB Output is correct

Subtask #2
5.0 / 5.0

# 결과 실행 시간 메모리 Grader output
1 Correct 60 ms 87276 KB Output is correct
2 Correct 60 ms 87276 KB Output is correct
3 Correct 60 ms 87276 KB Output is correct
4 Correct 62 ms 87404 KB Output is correct
5 Correct 62 ms 87404 KB Output is correct
6 Correct 61 ms 87404 KB Output is correct
7 Correct 64 ms 88044 KB Output is correct
8 Correct 68 ms 88684 KB Output is correct
9 Correct 65 ms 88428 KB Output is correct
10 Correct 67 ms 88812 KB Output is correct
11 Correct 68 ms 88684 KB Output is correct
12 Correct 63 ms 88044 KB Output is correct
13 Correct 67 ms 88940 KB Output is correct
14 Correct 68 ms 88428 KB Output is correct
15 Correct 67 ms 88428 KB Output is correct
16 Correct 62 ms 87276 KB Output is correct
17 Correct 61 ms 87276 KB Output is correct
18 Correct 60 ms 87404 KB Output is correct
19 Correct 60 ms 87532 KB Output is correct
20 Correct 62 ms 87376 KB Output is correct
21 Correct 69 ms 88940 KB Output is correct
22 Correct 69 ms 88556 KB Output is correct
23 Correct 67 ms 89068 KB Output is correct
24 Correct 78 ms 89024 KB Output is correct
25 Correct 69 ms 88940 KB Output is correct
26 Correct 66 ms 88556 KB Output is correct
27 Correct 68 ms 88940 KB Output is correct
28 Correct 68 ms 88940 KB Output is correct

Subtask #3
0 / 20.0

# 결과 실행 시간 메모리 Grader output
1 Correct 62 ms 88172 KB Output is correct
2 Correct 64 ms 88172 KB Output is correct
3 Correct 64 ms 88044 KB Output is correct
4 Correct 68 ms 88812 KB Output is correct
5 Correct 189 ms 106844 KB Output is correct
6 Correct 1004 ms 180896 KB Output is correct
7 Execution timed out 3059 ms 239992 KB Time limit exceeded
8 Halted 0 ms 0 KB -

Subtask #4
0 / 20.0

# 결과 실행 시간 메모리 Grader output
1 Correct 67 ms 87404 KB Output is correct
2 Correct 66 ms 88940 KB Output is correct
3 Correct 209 ms 108716 KB Output is correct
4 Correct 60 ms 87276 KB Output is correct
5 Correct 68 ms 88940 KB Output is correct
6 Execution timed out 3102 ms 245892 KB Time limit exceeded
7 Halted 0 ms 0 KB -

Subtask #5
0 / 50.0

# 결과 실행 시간 메모리 Grader output
1 Correct 60 ms 87276 KB Output is correct
2 Correct 60 ms 87276 KB Output is correct
3 Correct 60 ms 87276 KB Output is correct
4 Correct 62 ms 87404 KB Output is correct
5 Correct 62 ms 87404 KB Output is correct
6 Correct 61 ms 87404 KB Output is correct
7 Correct 64 ms 88044 KB Output is correct
8 Correct 68 ms 88684 KB Output is correct
9 Correct 65 ms 88428 KB Output is correct
10 Correct 67 ms 88812 KB Output is correct
11 Correct 68 ms 88684 KB Output is correct
12 Correct 63 ms 88044 KB Output is correct
13 Correct 67 ms 88940 KB Output is correct
14 Correct 68 ms 88428 KB Output is correct
15 Correct 67 ms 88428 KB Output is correct
16 Correct 62 ms 87276 KB Output is correct
17 Correct 61 ms 87276 KB Output is correct
18 Correct 60 ms 87404 KB Output is correct
19 Correct 60 ms 87532 KB Output is correct
20 Correct 62 ms 87376 KB Output is correct
21 Correct 69 ms 88940 KB Output is correct
22 Correct 69 ms 88556 KB Output is correct
23 Correct 67 ms 89068 KB Output is correct
24 Correct 78 ms 89024 KB Output is correct
25 Correct 69 ms 88940 KB Output is correct
26 Correct 66 ms 88556 KB Output is correct
27 Correct 68 ms 88940 KB Output is correct
28 Correct 68 ms 88940 KB Output is correct
29 Correct 62 ms 88172 KB Output is correct
30 Correct 64 ms 88172 KB Output is correct
31 Correct 64 ms 88044 KB Output is correct
32 Correct 68 ms 88812 KB Output is correct
33 Correct 189 ms 106844 KB Output is correct
34 Correct 1004 ms 180896 KB Output is correct
35 Execution timed out 3059 ms 239992 KB Time limit exceeded
36 Halted 0 ms 0 KB -