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답안 #213384

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
213384 2020-03-25T16:42:04 Z Saboon Matching (COCI20_matching) C++14
58 / 110
 998 ms 524292 KB 
#include <bits/stdc++.h>

using namespace std;

typedef long long ll;
typedef long double ld;

const int maxn = 100000 + 10;
const int maxl = 50;

struct point{
	int x, y;
} p[maxn];

struct segment{
	point a;
	point b;
	int i1, i2;
	segment(){
		i1 = i2 = -1;
	}
} s[maxn];

vector<int> vex[maxn], vey[maxn], vec[maxn], add[maxn], del[maxn];
int ask[maxn], cnt;
int lc[maxn * maxl], rc[maxn * maxl];
vector<int> g[maxn * maxl][2];
bool light[maxn][2];
int cmp[maxn * maxl], comp;
bool visited[maxn * maxl];

vector<int> topol;
void dfs(int v, bool w){
	visited[v] = 1;
	for (auto u : g[v][w])
		if (!visited[u])
			dfs(u, w);
	if (w == 0)
		topol.push_back(v);
	else
		cmp[v] = comp;
}

void scc(){
	int n = cnt;
	for (int i = 0; i < n; i++)
		if (!visited[i])
			dfs(i, 0);
	reverse(topol.begin(), topol.end());
	memset(visited, 0, sizeof visited);
	for (auto i : topol){
		if (!visited[i]){
			dfs(i, 1);
			comp ++;
		}
	}
}

void add_edge(int v, int u, bool type){ // type = 0 : v -> u, else v <- u
	if (type == 1)
		swap(v, u);
//	cout << "edge : " << v << " -> " << u << endl;
	g[v][0].push_back(u);
	g[u][1].push_back(v);
}

void get(int id, int L, int R, int l, int r, int v, bool type){
	if (r <= L or R <= l)
		return;
	if (l <= L and R <= r){
		add_edge(v, id, type);
		return;
	}
	int mid = (L + R) >> 1;
	get(lc[id], L, mid, l, r, v, type);
	get(rc[id], mid, R, l, r, v, type);
}

int change(int id, int L, int R, int idx, int v, bool type){
	if (idx < L or R <= idx)
		return id;
	int me = cnt ++;
	if (L + 1 == R){
		if (light[L][type] == 1)
			return me;
		add_edge(me, v, type);
		light[L][type] = 1;
		return me;
	}
	int mid = (L + R) >> 1;
	lc[me] = change(lc[id], L, mid, idx, v, type);
	rc[me] = change(rc[id], mid, R, idx, v, type);
	add_edge(me, lc[me], type), add_edge(me, rc[me], type);
	return me;
}

int build(int L, int R, bool type){
	int me = cnt ++;
	if (L + 1 == R)
		return me;
	int mid = (L + R) >> 1;
	lc[me] = build(L, mid, type);
	rc[me] = build(mid, R, type);
	add_edge(me, lc[me], type), add_edge(me, rc[me], type);
	return me;
}

int main(){
	ios_base::sync_with_stdio(false);
	int n;
	cin >> n;
	for (int i = 0; i < n; i++){
		cin >> p[i].x >> p[i].y;
		vex[p[i].x].push_back(i);
		vey[p[i].y].push_back(i);
	}
	int newint = 0;
	int N = 100000 + 1;
	for (int i = 1; i < N; i++){
		if (vex[i].size() == 2){
			segment me;
			me.a = p[vex[i][0]];
			me.b = p[vex[i][1]];
			me.i1 = vex[i][0];
			me.i2 = vex[i][1];
			vec[me.i1].push_back(newint);
			vec[me.i2].push_back(newint);
			s[newint++] = me;
		}
		if (vey[i].size() == 2){
			segment me;
			me.a = p[vey[i][0]];
			me.b = p[vey[i][1]];
			me.i1 = vey[i][0];
			me.i2 = vey[i][1];
			vec[me.i1].push_back(newint);
			vec[me.i2].push_back(newint);
			s[newint++] = me;
		}
	}
	int m = newint;
	memset(ask, -1, sizeof ask);
	for (int i = 0; i < m; i++){
		if (s[i].a.x != s[i].b.x){
			if (s[i].a.x > s[i].b.x){
				swap(s[i].a, s[i].b);
				swap(s[i].i1, s[i].i2);
			}
			add[s[i].a.x].push_back(i);
			add[s[i].b.x].push_back(i);
		}
		else
			ask[s[i].a.x] = i;
	}
	for (int i = 0; i < n; i++){
		if ((int)vec[i].size() == 0)
			return cout << "NE\n", 0;
		if ((int)vec[i].size() == 1){
			int v = vec[i][0];
			add_edge(2*v+1, 2*v+0, 0);
			continue;
		}
		int v = vec[i][0], u = vec[i][1];
		add_edge(2*v+1, 2*u+0, 0);
		add_edge(2*u+1, 2*v+0, 0);
		add_edge(2*v+0, 2*u+1, 0);
		add_edge(2*u+0, 2*v+1, 0);
	}
//	for (int i = 0; i < m; i++)
//		cout << "# " << i << " -> (" << s[i].a.x << " , " << s[i].a.y << ") - (" << s[i].b.x << " , " << s[i].b.y << ")" << endl; 
	cnt = 2*m;
	int r1 = build(1, N, 0);
	int r2 = build(1, N, 1);
	for (int i = 1; i < N; i++){
		if (ask[i] != -1){
			int idx = ask[i];
			int y1 = s[idx].a.y, y2 = s[idx].b.y;
			if (y1 > y2)
				swap(y1, y2);
			get(r1, 1, N, y1+1, y2, 2*idx+0, 0);
			get(r2, 1, N, y1+1, y2, 2*idx+1, 1);
//			cout << "Ask : " << idx << " : " << y1+1 << " - " << y2 << endl;
		}
		for (auto idx : add[i]){
//			cout << "Add or Remove : " << idx << " - " << s[idx].a.y << endl;
			r1 = change(r1, 1, N, s[idx].a.y, 2*idx+1, 0);
			r2 = change(r2, 1, N, s[idx].a.y, 2*idx+0, 1);
		}
	}
	scc();
	for (int i = 0; i < 2*m; i+=2)
		if (cmp[i] == cmp[i+1])
			return cout << "NE\n", 0;
	cout << "DA\n";
	for (int i = 0; i < m; i++)
		if (cmp[2*i+0] > cmp[2*i+1])
			cout << s[i].i1 + 1 << " " << s[i].i2 + 1 << '\n';
}

Subtask #1
5.0 / 5.0

# 결과 실행 시간 메모리 Grader output
1 Correct 221 ms 279912 KB Output is correct
2 Correct 214 ms 279912 KB Output is correct

Subtask #2
6.0 / 6.0

# 결과 실행 시간 메모리 Grader output
1 Correct 221 ms 279912 KB Output is correct
2 Correct 214 ms 279912 KB Output is correct
3 Correct 216 ms 279912 KB Output is correct
4 Correct 212 ms 279912 KB Output is correct
5 Correct 219 ms 279916 KB Output is correct
6 Correct 220 ms 279908 KB Output is correct
7 Correct 218 ms 279912 KB Output is correct

Subtask #3
7.0 / 7.0

# 결과 실행 시간 메모리 Grader output
1 Correct 221 ms 279912 KB Output is correct
2 Correct 214 ms 279912 KB Output is correct
3 Correct 216 ms 279912 KB Output is correct
4 Correct 212 ms 279912 KB Output is correct
5 Correct 219 ms 279916 KB Output is correct
6 Correct 220 ms 279908 KB Output is correct
7 Correct 218 ms 279912 KB Output is correct
8 Correct 226 ms 279912 KB Output is correct
9 Correct 219 ms 279916 KB Output is correct
10 Correct 223 ms 279912 KB Output is correct
11 Correct 216 ms 279912 KB Output is correct
12 Correct 222 ms 280164 KB Output is correct

Subtask #4
40.0 / 40.0

# 결과 실행 시간 메모리 Grader output
1 Correct 221 ms 279912 KB Output is correct
2 Correct 214 ms 279912 KB Output is correct
3 Correct 216 ms 279912 KB Output is correct
4 Correct 212 ms 279912 KB Output is correct
5 Correct 219 ms 279916 KB Output is correct
6 Correct 220 ms 279908 KB Output is correct
7 Correct 218 ms 279912 KB Output is correct
8 Correct 226 ms 279912 KB Output is correct
9 Correct 219 ms 279916 KB Output is correct
10 Correct 223 ms 279912 KB Output is correct
11 Correct 216 ms 279912 KB Output is correct
12 Correct 222 ms 280164 KB Output is correct
13 Correct 254 ms 286056 KB Output is correct
14 Correct 257 ms 286060 KB Output is correct
15 Correct 258 ms 286060 KB Output is correct
16 Correct 259 ms 285924 KB Output is correct
17 Correct 253 ms 286184 KB Output is correct
18 Correct 251 ms 286184 KB Output is correct
19 Correct 251 ms 286052 KB Output is correct
20 Correct 258 ms 286316 KB Output is correct
21 Correct 256 ms 286060 KB Output is correct
22 Correct 249 ms 286060 KB Output is correct
23 Correct 251 ms 286188 KB Output is correct
24 Correct 253 ms 286184 KB Output is correct

Subtask #5
0 / 52.0

# 결과 실행 시간 메모리 Grader output
1 Correct 221 ms 279912 KB Output is correct
2 Correct 214 ms 279912 KB Output is correct
3 Correct 216 ms 279912 KB Output is correct
4 Correct 212 ms 279912 KB Output is correct
5 Correct 219 ms 279916 KB Output is correct
6 Correct 220 ms 279908 KB Output is correct
7 Correct 218 ms 279912 KB Output is correct
8 Correct 226 ms 279912 KB Output is correct
9 Correct 219 ms 279916 KB Output is correct
10 Correct 223 ms 279912 KB Output is correct
11 Correct 216 ms 279912 KB Output is correct
12 Correct 222 ms 280164 KB Output is correct
13 Correct 254 ms 286056 KB Output is correct
14 Correct 257 ms 286060 KB Output is correct
15 Correct 258 ms 286060 KB Output is correct
16 Correct 259 ms 285924 KB Output is correct
17 Correct 253 ms 286184 KB Output is correct
18 Correct 251 ms 286184 KB Output is correct
19 Correct 251 ms 286052 KB Output is correct
20 Correct 258 ms 286316 KB Output is correct
21 Correct 256 ms 286060 KB Output is correct
22 Correct 249 ms 286060 KB Output is correct
23 Correct 251 ms 286188 KB Output is correct
24 Correct 253 ms 286184 KB Output is correct
25 Runtime error 998 ms 524292 KB Execution killed with signal 9 (could be triggered by violating memory limits)
26 Halted 0 ms 0 KB -