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답안 #223460

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
223460 2020-04-15T09:35:55 Z shenxy Matching (COCI20_matching) C++11
58 / 110
 2500 ms 442644 KB 
#include <cstdio>
#include <algorithm>
#include <queue>
#define m (s + e) / 2
using namespace std;
typedef pair<int, int> ii;
typedef pair<ii, int> iii;
const int INF = 10000000;
struct seg {
	int s, e;
	ii vmin, vmax;
	seg *l, *r;
	seg(int _s, int _e) {
		s = _s, e = _e;
		vmin = ii(INF, -1), vmax = ii(0, -1);
		l = r = NULL;
	}
	void upmin(int i, ii nv) {
		if (s != e) {
			if (i > m) {
				if (r == NULL) r = new seg(m + 1, e);
				r -> upmin(i, nv);
			} else {
				if (l == NULL) l = new seg(s, m);
				l -> upmin(i, nv);
			}
			vmin = min(l == NULL ? ii(INF, -1) : l -> vmin, r == NULL ? ii(INF, -1) : r -> vmin);
		} else vmin = nv;
	}
	void upmax(int i, ii nv) {
		if (s != e) {
			if (i > m) {
				if (r == NULL) r = new seg(m + 1, e);
				r -> upmax(i, nv);
			} else {
				if (l == NULL) l = new seg(s, m);
				l -> upmax(i, nv);
			}
			vmax = max(l == NULL ? ii(0, -1) : l -> vmax, r == NULL ? ii(0, -1) : r -> vmax);
		} else vmax = nv;
	}
	ii qmin(int a, int b) {
		if (s == a && e == b) return vmin;
		if (a > m) return r == NULL ? ii(INF, -1) : r -> qmin(a, b);
		if (b <= m) return l == NULL ? ii(INF, -1) : l -> qmin(a, b);
		return min(l == NULL ? ii(INF, -1) : l -> qmin(a, m), r == NULL ? ii(INF, -1) : r -> qmin(m + 1, b));
	}
	ii qmax(int a, int b) {
		if (s == a && e == b) return vmax;
		if (a > m) return r == NULL ? ii(0, -1) : r -> qmax(a, b);
		if (b <= m) return l == NULL ? ii(0, -1) : l -> qmax(a, b);
		return max(l == NULL ? ii(0, -1) : l -> qmax(a, m), r == NULL ? ii(0, -1) : r -> qmax(m + 1, b));
	}
};
struct seg2d {
	int s, e;
	seg *v;
	seg2d *l, *r;
	seg2d(int rs, int re, int cs, int ce) {
		s = rs, e = re;
		v = new seg(cs, ce);
		l = r = NULL;
	}
	void upmin(int R, int C, ii nv) {
		if (s != e) {
			if (R > m) {
				if (r == NULL) r = new seg2d(m + 1, e, v -> s, v -> e);
				r -> upmin(R, C, nv);
			} else {
				if (l == NULL) l = new seg2d(s, m, v -> s, v -> e);
				l -> upmin(R, C, nv);
			}
			v -> upmin(C, min(l == NULL ? ii(INF, -1) : l -> v -> qmin(C, C), r == NULL ? ii(INF, -1) : r -> v -> qmin(C, C)));
		} else v -> upmin(C, nv);
	}
	void upmax(int R, int C, ii nv) {
		if (s != e) {
			if (R > m) {
				if (r == NULL) r = new seg2d(m + 1, e, v -> s, v -> e);
				r -> upmax(R, C, nv);
			} else {
				if (l == NULL) l = new seg2d(s, m, v -> s, v -> e);
				l -> upmax(R, C, nv);
			}
			v -> upmax(C, max(l == NULL ? ii(0, -1) : l -> v -> qmax(C, C), r == NULL ? ii(0, -1) : r -> v -> qmax(C, C)));
		} else v -> upmax(C, nv);
	}
	ii qmin(int rs, int re, int cs, int ce) {
		if (s == rs && e == re) return v -> qmin(cs, ce);
		if (rs > m) return r == NULL ? ii(INF, -1) : r -> qmin(rs, re, cs, ce);
		if (re <= m) return l == NULL ? ii(INF, -1) : l -> qmin(rs, re, cs, ce);
		return min(l == NULL ? ii(INF, -1) : l -> qmin(rs, m, cs, ce), r == NULL ? ii(INF, -1) : r -> qmin(m + 1, re, cs, ce));
	}
	ii qmax(int rs, int re, int cs, int ce) {
		if (s == rs && e == re) return v -> qmax(cs, ce);
		if (rs > m) return r == NULL ? ii(0, -1) : r -> qmax(rs, re, cs, ce);
		if (re <= m) return l == NULL ? ii(0, -1) : l -> qmax(rs, re, cs, ce);
		return max(l == NULL ? ii(0, -1) : l -> qmax(rs, m, cs, ce), r == NULL ? ii(0, -1) : r -> qmax(m + 1, re, cs, ce));
	}
};
bool comp(const iii &a, const iii &b) {
	if (a.first.second != b.first.second) return a.first.second < b.first.second;
	return a < b;
}
int main() {
	int N;
	scanf("%d", &N);
	iii xy[N];
	ii pos[N];
	seg2d *x = new seg2d(1, 100000, 1, 100000), *y = new seg2d(1, 100000, 1, 100000);
	for (int i = 0; i < N; ++i) scanf("%d %d", &pos[i].first, &pos[i].second), xy[i].first = pos[i], xy[i].second = i;
	sort(xy, xy + N);
	int xf[N], yf[N];
	xf[xy[0].second] = -1;
	for (int i = 1; i < N; ++i) {
		if (xy[i - 1].first.first == xy[i].first.first) xf[xy[i - 1].second] = xy[i].second, xf[xy[i].second] = xy[i - 1].second;
		else xf[xy[i].second] = -1;
	}
	sort(xy, xy + N, comp);
	yf[xy[0].second] = -1;
	for (int i = 1; i < N; ++i) {
		if (xy[i - 1].first.second == xy[i].first.second) yf[xy[i - 1].second] = xy[i].second, yf[xy[i].second] = xy[i - 1].second;
		else yf[xy[i].second] = -1;
	}
	queue<int> despo;
	for (int i = 0; i < N; ++i) {
		if (xf[i] == -1 && yf[i] == -1) {
			printf("NE");
			return 0;
		} else if (xf[i] == -1 || yf[i] == -1) despo.push(i);
		if (xf[i] != -1) x -> upmin(pos[i].first, pos[i].second, ii(pos[xf[i]].second, i)), x -> upmax(pos[i].first, pos[i].second, ii(pos[xf[i]].second, i));
		if (yf[i] != -1) y -> upmin(pos[i].first, pos[i].second, ii(pos[yf[i]].first, i)), y -> upmax(pos[i].first, pos[i].second, ii(pos[yf[i]].first, i));
	}
	vector<ii> pairs;
	bool settled[N];
	fill_n(settled, N, false);
	while (!despo.empty()) {
		int pt1 = despo.front(), pt2;
		despo.pop();
		if (settled[pt1]) continue;
		if (xf[pt1] != -1) {
			pt2 = xf[pt1];
			x -> upmin(pos[pt1].first, pos[pt1].second, ii(INF, -1)), x -> upmax(pos[pt1].first, pos[pt1].second, ii(0, -1));
			x -> upmin(pos[pt2].first, pos[pt2].second, ii(INF, -1)), x -> upmax(pos[pt2].first, pos[pt2].second, ii(0, -1));
			if (yf[pt2] != -1) {
				y -> upmin(pos[pt2].first, pos[pt2].second, ii(INF, -1)), y -> upmax(pos[pt2].first, pos[pt2].second, ii(0, -1));
				y -> upmin(pos[yf[pt2]].first, pos[yf[pt2]].second, ii(INF, -1)), y -> upmax(pos[yf[pt2]].first, pos[yf[pt2]].second, ii(0, -1));
				yf[yf[pt2]] = -1;
				if (xf[yf[pt2]] == -1) {
					printf("NE");
					return 0;
				} else despo.push(yf[pt2]);
			}
			ii qans = y -> qmax(1, pos[pt1].first - 1, min(pos[pt1].second, pos[pt2].second), max(pos[pt1].second, pos[pt2].second));
			while (qans.first > pos[pt1].first) {
				y -> upmin(pos[qans.second].first, pos[qans.second].second, ii(INF, -1)), y -> upmax(pos[qans.second].first, pos[qans.second].second, ii(0, -1));
				yf[qans.second] = -1;
				if (xf[qans.second] == -1) {
					printf("NE");
					return 0;
				} else despo.push(qans.second);
				qans = y -> qmax(1, pos[pt1].first - 1, min(pos[pt1].second, pos[pt2].second), max(pos[pt1].second, pos[pt2].second));
			}
			qans = y -> qmin(pos[pt1].first + 1, 100000, min(pos[pt1].second, pos[pt2].second), max(pos[pt1].second, pos[pt2].second));
			while (qans.first < pos[pt1].first) {
				y -> upmin(pos[qans.second].first, pos[qans.second].second, ii(INF, -1)), y -> upmax(pos[qans.second].first, pos[qans.second].second, ii(0, -1));
				yf[qans.second] = -1;
				if (xf[qans.second] == -1) {
					printf("NE");
					return 0;
				} else despo.push(qans.second);
				qans = y -> qmin(pos[pt1].first + 1, 100000, min(pos[pt1].second, pos[pt2].second), max(pos[pt1].second, pos[pt2].second));
			}
		} else {
			pt2 = yf[pt1];
			y -> upmin(pos[pt1].first, pos[pt1].second, ii(INF, -1)), y -> upmax(pos[pt1].first, pos[pt1].second, ii(0, -1));
			y -> upmin(pos[pt2].first, pos[pt2].second, ii(INF, -1)), y -> upmax(pos[pt1].first, pos[pt1].second, ii(0, -1));
			if (xf[pt2] != -1) {
				x -> upmin(pos[pt2].first, pos[pt2].second, ii(INF, -1)), x -> upmax(pos[pt2].first, pos[pt2].second, ii(0, -1));
 				x -> upmin(pos[xf[pt2]].first, pos[xf[pt2]].second, ii(INF, -1)), x -> upmax(pos[xf[pt2]].first, pos[xf[pt2]].second, ii(0, -1));
				xf[xf[pt2]] = -1;
				if (yf[xf[pt2]] == -1) {
					printf("NE");
					return 0;
				} else despo.push(xf[pt2]);
			}
			ii qans = x -> qmax(min(pos[pt1].first, pos[pt2].first), max(pos[pt1].first, pos[pt2].first), 1, pos[pt1].second - 1);
			while (qans.first > pos[pt1].second) {
				x -> upmin(pos[qans.second].first, pos[qans.second].second, ii(INF, -1)), x -> upmax(pos[qans.second].first, pos[qans.second].second, ii(0, -1));
				xf[qans.second] = -1;
				if (yf[qans.second] == -1) {
					printf("NE");
					return 0;
				} else despo.push(qans.second);
				qans = x -> qmax(min(pos[pt1].first, pos[pt2].first), max(pos[pt1].first, pos[pt2].first), 1, pos[pt1].second - 1);
			}
			qans = x -> qmin(min(pos[pt1].first, pos[pt2].first), max(pos[pt1].first, pos[pt2].first), pos[pt1].second + 1, 100000);
			while (qans.first < pos[pt1].second) {
				x -> upmin(pos[qans.second].first, pos[qans.second].second, ii(INF, -1)), x -> upmax(pos[qans.second].first, pos[qans.second].second, ii(0, -1));
				xf[qans.second] = -1;
				if (yf[qans.second] == -1) {
					printf("NE");
					return 0;
				} else despo.push(qans.second);
				qans = x -> qmin(min(pos[pt1].first, pos[pt2].first), max(pos[pt1].first, pos[pt2].first), pos[pt1].second + 1, 100000);
			}
		}
		pairs.push_back(ii(pt1, pt2));
		settled[pt1] = settled[pt2] = true;
	}
	for (int i = 0; i < N; ++i) {
		if (!settled[i]) pairs.push_back(ii(i, xf[i])), settled[i] = settled[xf[i]] = true;
	}
	printf("DA\n");
	for (ii i: pairs) printf("%d %d\n", i.first + 1, i.second + 1);
}

Compilation message

matching.cpp: In function 'int main()':
matching.cpp:107:7: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
  scanf("%d", &N);
  ~~~~~^~~~~~~~~~
matching.cpp:111:97: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
  for (int i = 0; i < N; ++i) scanf("%d %d", &pos[i].first, &pos[i].second), xy[i].first = pos[i], xy[i].second = i;
                              ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~
matching.cpp:135:7: warning: argument 1 range [18446744071562067968, 18446744073709551615] exceeds maximum object size 9223372036854775807 [-Walloc-size-larger-than=]
  bool settled[N];
       ^~~~~~~
matching.cpp:135:7: note: in a call to built-in allocation function 'void* __builtin_alloca_with_align(long unsigned int, long unsigned int)'

Subtask #1
5.0 / 5.0

# 결과 실행 시간 메모리 Grader output
1 Correct 5 ms 768 KB Output is correct
2 Correct 5 ms 768 KB Output is correct

Subtask #2
6.0 / 6.0

# 결과 실행 시간 메모리 Grader output
1 Correct 5 ms 768 KB Output is correct
2 Correct 5 ms 768 KB Output is correct
3 Correct 5 ms 768 KB Output is correct
4 Correct 5 ms 768 KB Output is correct
5 Correct 5 ms 768 KB Output is correct
6 Correct 5 ms 640 KB Output is correct
7 Correct 5 ms 768 KB Output is correct

Subtask #3
7.0 / 7.0

# 결과 실행 시간 메모리 Grader output
1 Correct 5 ms 768 KB Output is correct
2 Correct 5 ms 768 KB Output is correct
3 Correct 5 ms 768 KB Output is correct
4 Correct 5 ms 768 KB Output is correct
5 Correct 5 ms 768 KB Output is correct
6 Correct 5 ms 640 KB Output is correct
7 Correct 5 ms 768 KB Output is correct
8 Correct 7 ms 1280 KB Output is correct
9 Correct 7 ms 1272 KB Output is correct
10 Correct 7 ms 1152 KB Output is correct
11 Correct 7 ms 1280 KB Output is correct
12 Correct 6 ms 1280 KB Output is correct

Subtask #4
40.0 / 40.0

# 결과 실행 시간 메모리 Grader output
1 Correct 5 ms 768 KB Output is correct
2 Correct 5 ms 768 KB Output is correct
3 Correct 5 ms 768 KB Output is correct
4 Correct 5 ms 768 KB Output is correct
5 Correct 5 ms 768 KB Output is correct
6 Correct 5 ms 640 KB Output is correct
7 Correct 5 ms 768 KB Output is correct
8 Correct 7 ms 1280 KB Output is correct
9 Correct 7 ms 1272 KB Output is correct
10 Correct 7 ms 1152 KB Output is correct
11 Correct 7 ms 1280 KB Output is correct
12 Correct 6 ms 1280 KB Output is correct
13 Correct 104 ms 29432 KB Output is correct
14 Correct 105 ms 29644 KB Output is correct
15 Correct 119 ms 29152 KB Output is correct
16 Correct 114 ms 29384 KB Output is correct
17 Correct 113 ms 29176 KB Output is correct
18 Correct 101 ms 29560 KB Output is correct
19 Correct 117 ms 29560 KB Output is correct
20 Correct 101 ms 29308 KB Output is correct
21 Correct 99 ms 29436 KB Output is correct
22 Correct 95 ms 29384 KB Output is correct
23 Correct 154 ms 29560 KB Output is correct
24 Correct 149 ms 29688 KB Output is correct

Subtask #5
0 / 52.0

# 결과 실행 시간 메모리 Grader output
1 Correct 5 ms 768 KB Output is correct
2 Correct 5 ms 768 KB Output is correct
3 Correct 5 ms 768 KB Output is correct
4 Correct 5 ms 768 KB Output is correct
5 Correct 5 ms 768 KB Output is correct
6 Correct 5 ms 640 KB Output is correct
7 Correct 5 ms 768 KB Output is correct
8 Correct 7 ms 1280 KB Output is correct
9 Correct 7 ms 1272 KB Output is correct
10 Correct 7 ms 1152 KB Output is correct
11 Correct 7 ms 1280 KB Output is correct
12 Correct 6 ms 1280 KB Output is correct
13 Correct 104 ms 29432 KB Output is correct
14 Correct 105 ms 29644 KB Output is correct
15 Correct 119 ms 29152 KB Output is correct
16 Correct 114 ms 29384 KB Output is correct
17 Correct 113 ms 29176 KB Output is correct
18 Correct 101 ms 29560 KB Output is correct
19 Correct 117 ms 29560 KB Output is correct
20 Correct 101 ms 29308 KB Output is correct
21 Correct 99 ms 29436 KB Output is correct
22 Correct 95 ms 29384 KB Output is correct
23 Correct 154 ms 29560 KB Output is correct
24 Correct 149 ms 29688 KB Output is correct
25 Execution timed out 2605 ms 442644 KB Time limit exceeded
26 Halted 0 ms 0 KB -