oj.uz

답안 #332423

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
332423 2020-12-02T13:00:18 Z arnold518 절취선 (JOI14_ho_t5) C++14
10 / 100
 3000 ms 245956 KB 
#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 = 3e6;

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;

struct Node
{
	int lc, rc;
	Node() : lc(-1), rc(-1) {}
};
Node nodes[MAXV+10];

int ncnt;

int newNode()
{
	if(ncnt+1>=MAXV) while(1);
	return ++ncnt;
}

vector<int> adj[MAXV+10], radj[MAXV+10];

void addEdge(int u, int v)
{
	//printf("%d %d\n", u, v);
	if(ncnt>=1e6) return;
	if(u!=-1 && v!=-1)
	{
		adj[u].push_back(v);
		radj[v].push_back(u);
	}
}

void makeTree(int node, int tl, int tr)
{
	if(tr-tl<=2) return;
	int mid=tl+tr>>1;
	nodes[node].lc=newNode();
	nodes[node].rc=newNode();
	addEdge(nodes[node].lc, node);
	addEdge(nodes[node].rc, node);
	makeTree(nodes[node].lc, tl, mid);
	makeTree(nodes[node].rc, mid+1, tr);
}

int update(int node, int tl, int tr, int p, int k)
{
	if(p<tl || tr<p) return node;
	int ret=newNode();
	if(tl==tr)
	{
		if(k>0) return k;
		return -1;
	}
	int mid=tl+tr>>1;
	nodes[ret].lc=update(nodes[node].lc, tl, mid, p, k);
	nodes[ret].rc=update(nodes[node].rc, mid+1, tr, p, k);
	addEdge(nodes[ret].lc, ret);
	addEdge(nodes[ret].rc, 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);
		return;
	}
	int mid=tl+tr>>1;
	query(nodes[node].lc, tl, mid, l, r, k);
	query(nodes[node].rc, 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;
	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();
	}

	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();
	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();
	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);
	}

	for(int i=1; i<=ncnt; 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:62:12: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   62 |  int mid=tl+tr>>1;
      |          ~~^~~
2014_ho_t5.cpp: In function 'int update(int, int, int, int, int)':
2014_ho_t5.cpp:80:12: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   80 |  int mid=tl+tr>>1;
      |          ~~^~~
2014_ho_t5.cpp: In function 'void query(int, int, int, int, int, int)':
2014_ho_t5.cpp:96:12: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   96 |  int mid=tl+tr>>1;
      |          ~~^~~
2014_ho_t5.cpp: In function 'int main()':
2014_ho_t5.cpp:201:10: 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]
  201 |   for(; j<VV.size() && VV[j].first.first<=B[i].x1; j++)
      |         ~^~~~~~~~~~
2014_ho_t5.cpp:222:10: 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]
  222 |   for(; j<VV.size() && VV[j].first.first<=B[i].x1; j++)
      |         ~^~~~~~~~~~
2014_ho_t5.cpp:247:10: 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]
  247 |   for(; j<VV.size() && VV[j].first.first<=A[i].y1; j++)
      |         ~^~~~~~~~~~
2014_ho_t5.cpp:128:7: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
  128 |  scanf("%d%d%d", &W, &H, &t);
      |  ~~~~~^~~~~~~~~~~~~~~~~~~~~~
2014_ho_t5.cpp:132:8: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
  132 |   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 117 ms 164748 KB Output is correct
2 Correct 110 ms 164716 KB Output is correct
3 Correct 113 ms 164716 KB Output is correct
4 Correct 115 ms 164844 KB Output is correct
5 Correct 113 ms 164972 KB Output is correct
6 Correct 112 ms 164844 KB Output is correct
7 Correct 112 ms 165756 KB Output is correct
8 Correct 127 ms 166764 KB Output is correct
9 Correct 121 ms 166528 KB Output is correct
10 Correct 121 ms 166636 KB Output is correct
11 Correct 122 ms 166636 KB Output is correct
12 Correct 122 ms 165612 KB Output is correct
13 Correct 124 ms 166764 KB Output is correct
14 Correct 129 ms 166508 KB Output is correct
15 Correct 122 ms 166548 KB Output is correct
16 Correct 112 ms 164972 KB Output is correct
17 Correct 112 ms 164844 KB Output is correct

Subtask #2
5.0 / 5.0

# 결과 실행 시간 메모리 Grader output
1 Correct 117 ms 164748 KB Output is correct
2 Correct 110 ms 164716 KB Output is correct
3 Correct 113 ms 164716 KB Output is correct
4 Correct 115 ms 164844 KB Output is correct
5 Correct 113 ms 164972 KB Output is correct
6 Correct 112 ms 164844 KB Output is correct
7 Correct 112 ms 165756 KB Output is correct
8 Correct 127 ms 166764 KB Output is correct
9 Correct 121 ms 166528 KB Output is correct
10 Correct 121 ms 166636 KB Output is correct
11 Correct 122 ms 166636 KB Output is correct
12 Correct 122 ms 165612 KB Output is correct
13 Correct 124 ms 166764 KB Output is correct
14 Correct 129 ms 166508 KB Output is correct
15 Correct 122 ms 166548 KB Output is correct
16 Correct 112 ms 164972 KB Output is correct
17 Correct 112 ms 164844 KB Output is correct
18 Correct 116 ms 164844 KB Output is correct
19 Correct 119 ms 164844 KB Output is correct
20 Correct 125 ms 164844 KB Output is correct
21 Correct 122 ms 166892 KB Output is correct
22 Correct 134 ms 166636 KB Output is correct
23 Correct 122 ms 166892 KB Output is correct
24 Correct 125 ms 167020 KB Output is correct
25 Correct 125 ms 166892 KB Output is correct
26 Correct 125 ms 166636 KB Output is correct
27 Correct 123 ms 166820 KB Output is correct
28 Correct 124 ms 166956 KB Output is correct

Subtask #3
0 / 20.0

# 결과 실행 시간 메모리 Grader output
1 Correct 119 ms 165868 KB Output is correct
2 Correct 119 ms 165996 KB Output is correct
3 Correct 119 ms 165740 KB Output is correct
4 Correct 130 ms 166892 KB Output is correct
5 Correct 337 ms 190812 KB Output is correct
6 Incorrect 949 ms 245956 KB Output isn't correct
7 Halted 0 ms 0 KB -

Subtask #4
0 / 20.0

# 결과 실행 시간 메모리 Grader output
1 Correct 115 ms 164844 KB Output is correct
2 Correct 126 ms 166892 KB Output is correct
3 Correct 354 ms 192532 KB Output is correct
4 Correct 111 ms 164716 KB Output is correct
5 Correct 122 ms 166892 KB Output is correct
6 Execution timed out 3091 ms 229968 KB Time limit exceeded
7 Halted 0 ms 0 KB -

Subtask #5
0 / 50.0

# 결과 실행 시간 메모리 Grader output
1 Correct 117 ms 164748 KB Output is correct
2 Correct 110 ms 164716 KB Output is correct
3 Correct 113 ms 164716 KB Output is correct
4 Correct 115 ms 164844 KB Output is correct
5 Correct 113 ms 164972 KB Output is correct
6 Correct 112 ms 164844 KB Output is correct
7 Correct 112 ms 165756 KB Output is correct
8 Correct 127 ms 166764 KB Output is correct
9 Correct 121 ms 166528 KB Output is correct
10 Correct 121 ms 166636 KB Output is correct
11 Correct 122 ms 166636 KB Output is correct
12 Correct 122 ms 165612 KB Output is correct
13 Correct 124 ms 166764 KB Output is correct
14 Correct 129 ms 166508 KB Output is correct
15 Correct 122 ms 166548 KB Output is correct
16 Correct 112 ms 164972 KB Output is correct
17 Correct 112 ms 164844 KB Output is correct
18 Correct 116 ms 164844 KB Output is correct
19 Correct 119 ms 164844 KB Output is correct
20 Correct 125 ms 164844 KB Output is correct
21 Correct 122 ms 166892 KB Output is correct
22 Correct 134 ms 166636 KB Output is correct
23 Correct 122 ms 166892 KB Output is correct
24 Correct 125 ms 167020 KB Output is correct
25 Correct 125 ms 166892 KB Output is correct
26 Correct 125 ms 166636 KB Output is correct
27 Correct 123 ms 166820 KB Output is correct
28 Correct 124 ms 166956 KB Output is correct
29 Correct 119 ms 165868 KB Output is correct
30 Correct 119 ms 165996 KB Output is correct
31 Correct 119 ms 165740 KB Output is correct
32 Correct 130 ms 166892 KB Output is correct
33 Correct 337 ms 190812 KB Output is correct
34 Incorrect 949 ms 245956 KB Output isn't correct
35 Halted 0 ms 0 KB -