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답안 #547215

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
547215 2022-04-09T20:39:24 Z skittles1412 Alternating Current (BOI18_alternating) C++17
55 / 100
 3000 ms 8228 KB 
#include "bits/extc++.h"

using namespace std;

template <typename T>
void dbgh(const T& t) {
	cerr << t << endl;
}

template <typename T, typename... U>
void dbgh(const T& t, const U&... u) {
	cerr << t << " | ";
	dbgh(u...);
}

#ifdef DEBUG
#define dbg(...)                                           \
	cerr << "L" << __LINE__ << " [" << #__VA_ARGS__ << "]" \
		 << ": ";                                          \
	dbgh(__VA_ARGS__)
#else
#define cerr   \
	if (false) \
	cerr
#define dbg(...)
#endif

#define endl "\n"
#define long int64_t
#define sz(x) int((x).size())

void solve() {
	int n, m;
	cin >> n >> m;
	array<int, 3> arr[m];
	for (int i = 0; i < m; i++) {
		auto &[l, r, ci] = arr[i];
		cin >> l >> r;
		l--;
		r--;
		ci = i;
		if (l > r) {
			r += n;
		}
	}
	sort(arr, arr + m, [&](const auto& a, const auto& b) -> bool {
		if (a[0] != b[0]) {
			return a[0] < b[0];
		}
		return a[1] > b[1];
	});
	for (auto& [l, r, _] : arr) {
		if (r >= n) {
			r -= n;
		}
	}
	int par[m];
	pair<int, int> mx {-1, -1};
	for (int i = 0; i < 2 * m; i++) {
		int ci = i >= m ? i - m : i;
		auto [l, r, _] = arr[ci];
		if (l > r) {
			r += n;
		}
		if (i >= m) {
			l += n;
			r += n;
		}
		if (r <= mx.first) {
			par[ci] = mx.second;
		} else {
			par[ci] = ci;
			mx = {r, ci};
		}
	}
	for (int i = 0; i < m; i++) {
		int u = i;
		while (par[u] != u) {
			u = par[u];
		}
		par[i] = u;
	}
	vector<int> vals;
	int inds[m];
	for (int i = 0; i < m; i++) {
		if (par[i] == i) {
			inds[i] = sz(vals);
			vals.push_back(i);
		}
		dbg(i, par[i]);
	}
	auto covers_all = [&](const vector<pair<int, int>> &arr) -> bool {
		vector<int> e[n];
		for (auto& [l, r] : arr) {
			e[l].push_back(r);
		}
		int mx = -1;
		for (int i = 0; i < n; i++) {
			for (auto& a : e[i]) {
				mx = max(mx, a);
			}
			if (mx < i) {
				return false;
			}
		}
		return true;
	};
	auto check = [&](const vector<bool> &distr) -> void {
		vector<pair<int, int>> segs[2];
		auto add = [&](int i, int l, int r) -> void {
			dbg(i, l, r);
			if (l > r) {
				segs[i].emplace_back(l, n - 1);
				segs[i].emplace_back(0, r);
			} else {
				segs[i].emplace_back(l, r);
			}
		};
		bool ans[m];
		for (int i = 0; i < m; i++) {
			auto &[l, r, ci] = arr[i];
			if (par[i] == i) {
				ans[ci] = distr[inds[i]];
			} else {
				ans[ci] = !distr[inds[par[i]]];
			}
			dbg(i, inds[par[i]], ans[ci]);
			add(ans[ci], l, r);
		}
		if (covers_all(segs[0]) && covers_all(segs[1])) {
			for (auto& a : ans) {
				cout << a;
			}
			cout << endl;
			exit(0);
		}
	};
	int k = sz(vals);
	dbg(k);
	if (k % 2 == 0 || k == 1) {
		vector<bool> distr(k);
		for (int i = 0; i < k; i++) {
			distr[i] = i & 1;
		}
		check(distr);
		cout << "impossible" << endl;
		return;
	}
	for (int i = 0; i < k; i++) {
		vector<bool> distr(k);
		int j = i;
		bool cur = true;
		while (true) {
			distr[j] = cur;
			cur ^= true;
			j = j + 1 == k ? 0 : j + 1;
			if (j == i) {
				break;
			}
		}
		check(distr);
	}
	cout << "impossible" << endl;
	return;
	{
		vector<pair<int, int>> cur;
		for (auto& [l, r, _] : arr) {
			if (l > r) {
				cur.emplace_back(l, n - 1);
				cur.emplace_back(0, r);
			} else {
				cur.emplace_back(l, r);
			}
		}
		if (!covers_all(cur)) {
			cout << "impossible" << endl;
			return;
		}
	}
	bool can[k];
	vector<pair<int, int>> child[k];
	for (int i = 0; i < m; i++) {
		auto &[l, r, _] = arr[i];
		if (par[i] != i) {
			child[par[i]].emplace_back(l, r);
		}
	}
	auto norm = [&](vector<pair<int, int>> &arr) -> void {
		for (auto& [l, r] : arr) {
			if (l > r) {
				r += n;
			}
		}
	};
	for (int i = 0; i < k; i++) {
		auto cl = child[i ? i - 1 : k - 1];
		auto cr = child[i + 1 == k ? 0 : i + 1];
		norm(cl);
		norm(cr);
		int mxl = -2, mnr = 1e9;
		for (auto& [l, r] : cl) {
			mxl = max(mxl, r);
		}
		for (auto& [l, r] : cr) {
			mnr = min(mnr, l);
		}
		can[i] = mxl + 1 == mnr;
	}
	int cnt = 0;
	for (auto& a : can) {
		cnt += a;
	}
	for (int i = 0; i < k; i++) {
		int j = i + 1 == k ? 0 : i + 1;
		int ccnt = cnt - can[i] - can[j];
		if (ccnt != k - 2) {
			continue;
		}
		
	}
}

int main() {
	cin.tie(nullptr);
	ios_base::sync_with_stdio(false);
	cin.exceptions(ios::failbit);
	solve();
}

Subtask #1
13.0 / 13.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 320 KB Output is correct
4 Correct 1 ms 320 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 0 ms 312 KB Output is correct
9 Correct 1 ms 320 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 1 ms 320 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 0 ms 328 KB Output is correct
17 Correct 1 ms 212 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 1 ms 212 KB Output is correct
20 Correct 1 ms 212 KB Output is correct
21 Correct 0 ms 212 KB Output is correct
22 Correct 0 ms 212 KB Output is correct
23 Correct 1 ms 212 KB Output is correct
24 Correct 1 ms 212 KB Output is correct
25 Correct 1 ms 212 KB Output is correct
26 Correct 1 ms 320 KB Output is correct
27 Correct 1 ms 212 KB Output is correct
28 Correct 1 ms 320 KB Output is correct
29 Correct 0 ms 212 KB Output is correct
30 Correct 0 ms 316 KB Output is correct
31 Correct 0 ms 212 KB Output is correct
32 Correct 0 ms 212 KB Output is correct
33 Correct 1 ms 212 KB Output is correct
34 Correct 1 ms 316 KB Output is correct
35 Correct 1 ms 212 KB Output is correct
36 Correct 0 ms 212 KB Output is correct
37 Correct 0 ms 212 KB Output is correct
38 Correct 1 ms 212 KB Output is correct
39 Correct 1 ms 316 KB Output is correct
40 Correct 1 ms 320 KB Output is correct

Subtask #2
20.0 / 20.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 320 KB Output is correct
4 Correct 1 ms 320 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 0 ms 312 KB Output is correct
9 Correct 1 ms 320 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 1 ms 320 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 0 ms 328 KB Output is correct
17 Correct 1 ms 212 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 1 ms 212 KB Output is correct
20 Correct 1 ms 212 KB Output is correct
21 Correct 0 ms 212 KB Output is correct
22 Correct 0 ms 212 KB Output is correct
23 Correct 1 ms 212 KB Output is correct
24 Correct 1 ms 212 KB Output is correct
25 Correct 1 ms 212 KB Output is correct
26 Correct 1 ms 320 KB Output is correct
27 Correct 1 ms 212 KB Output is correct
28 Correct 1 ms 320 KB Output is correct
29 Correct 0 ms 212 KB Output is correct
30 Correct 0 ms 316 KB Output is correct
31 Correct 0 ms 212 KB Output is correct
32 Correct 0 ms 212 KB Output is correct
33 Correct 1 ms 212 KB Output is correct
34 Correct 1 ms 316 KB Output is correct
35 Correct 1 ms 212 KB Output is correct
36 Correct 0 ms 212 KB Output is correct
37 Correct 0 ms 212 KB Output is correct
38 Correct 1 ms 212 KB Output is correct
39 Correct 1 ms 316 KB Output is correct
40 Correct 1 ms 320 KB Output is correct
41 Correct 1 ms 212 KB Output is correct
42 Correct 0 ms 212 KB Output is correct
43 Correct 1 ms 324 KB Output is correct
44 Correct 1 ms 212 KB Output is correct
45 Correct 0 ms 212 KB Output is correct
46 Correct 0 ms 212 KB Output is correct
47 Correct 1 ms 212 KB Output is correct
48 Correct 1 ms 212 KB Output is correct
49 Correct 1 ms 340 KB Output is correct
50 Correct 1 ms 212 KB Output is correct
51 Correct 1 ms 212 KB Output is correct
52 Correct 0 ms 212 KB Output is correct
53 Correct 1 ms 316 KB Output is correct
54 Correct 1 ms 212 KB Output is correct
55 Correct 1 ms 212 KB Output is correct
56 Correct 1 ms 212 KB Output is correct
57 Correct 1 ms 212 KB Output is correct
58 Correct 1 ms 212 KB Output is correct
59 Correct 0 ms 212 KB Output is correct
60 Correct 0 ms 212 KB Output is correct
61 Correct 0 ms 212 KB Output is correct
62 Correct 1 ms 340 KB Output is correct
63 Correct 1 ms 212 KB Output is correct
64 Correct 0 ms 320 KB Output is correct
65 Correct 0 ms 212 KB Output is correct
66 Correct 1 ms 324 KB Output is correct
67 Correct 1 ms 212 KB Output is correct
68 Correct 0 ms 212 KB Output is correct
69 Correct 1 ms 212 KB Output is correct

Subtask #3
22.0 / 22.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 320 KB Output is correct
4 Correct 1 ms 320 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 0 ms 312 KB Output is correct
9 Correct 1 ms 320 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 1 ms 320 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 0 ms 328 KB Output is correct
17 Correct 1 ms 212 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 1 ms 212 KB Output is correct
20 Correct 1 ms 212 KB Output is correct
21 Correct 0 ms 212 KB Output is correct
22 Correct 0 ms 212 KB Output is correct
23 Correct 1 ms 212 KB Output is correct
24 Correct 1 ms 212 KB Output is correct
25 Correct 1 ms 212 KB Output is correct
26 Correct 1 ms 320 KB Output is correct
27 Correct 1 ms 212 KB Output is correct
28 Correct 1 ms 320 KB Output is correct
29 Correct 0 ms 212 KB Output is correct
30 Correct 0 ms 316 KB Output is correct
31 Correct 0 ms 212 KB Output is correct
32 Correct 0 ms 212 KB Output is correct
33 Correct 1 ms 212 KB Output is correct
34 Correct 1 ms 316 KB Output is correct
35 Correct 1 ms 212 KB Output is correct
36 Correct 0 ms 212 KB Output is correct
37 Correct 0 ms 212 KB Output is correct
38 Correct 1 ms 212 KB Output is correct
39 Correct 1 ms 316 KB Output is correct
40 Correct 1 ms 320 KB Output is correct
41 Correct 1 ms 212 KB Output is correct
42 Correct 0 ms 212 KB Output is correct
43 Correct 1 ms 324 KB Output is correct
44 Correct 1 ms 212 KB Output is correct
45 Correct 0 ms 212 KB Output is correct
46 Correct 0 ms 212 KB Output is correct
47 Correct 1 ms 212 KB Output is correct
48 Correct 1 ms 212 KB Output is correct
49 Correct 1 ms 340 KB Output is correct
50 Correct 1 ms 212 KB Output is correct
51 Correct 1 ms 212 KB Output is correct
52 Correct 0 ms 212 KB Output is correct
53 Correct 1 ms 316 KB Output is correct
54 Correct 1 ms 212 KB Output is correct
55 Correct 1 ms 212 KB Output is correct
56 Correct 1 ms 212 KB Output is correct
57 Correct 1 ms 212 KB Output is correct
58 Correct 1 ms 212 KB Output is correct
59 Correct 0 ms 212 KB Output is correct
60 Correct 0 ms 212 KB Output is correct
61 Correct 0 ms 212 KB Output is correct
62 Correct 1 ms 340 KB Output is correct
63 Correct 1 ms 212 KB Output is correct
64 Correct 0 ms 320 KB Output is correct
65 Correct 0 ms 212 KB Output is correct
66 Correct 1 ms 324 KB Output is correct
67 Correct 1 ms 212 KB Output is correct
68 Correct 0 ms 212 KB Output is correct
69 Correct 1 ms 212 KB Output is correct
70 Correct 1 ms 340 KB Output is correct
71 Correct 40 ms 340 KB Output is correct
72 Correct 1 ms 212 KB Output is correct
73 Correct 1 ms 340 KB Output is correct
74 Correct 1 ms 340 KB Output is correct
75 Correct 0 ms 212 KB Output is correct
76 Correct 1 ms 324 KB Output is correct
77 Correct 1 ms 340 KB Output is correct
78 Correct 1 ms 340 KB Output is correct
79 Correct 1 ms 340 KB Output is correct
80 Correct 1 ms 340 KB Output is correct
81 Correct 1 ms 340 KB Output is correct
82 Correct 1 ms 340 KB Output is correct
83 Correct 1 ms 340 KB Output is correct
84 Correct 1 ms 340 KB Output is correct
85 Correct 1 ms 320 KB Output is correct
86 Correct 0 ms 340 KB Output is correct
87 Correct 1 ms 344 KB Output is correct
88 Correct 0 ms 340 KB Output is correct
89 Correct 15 ms 372 KB Output is correct
90 Correct 1 ms 340 KB Output is correct
91 Correct 0 ms 340 KB Output is correct
92 Correct 1 ms 340 KB Output is correct
93 Correct 1 ms 340 KB Output is correct
94 Correct 1 ms 212 KB Output is correct
95 Correct 1 ms 340 KB Output is correct
96 Correct 1 ms 328 KB Output is correct
97 Correct 1 ms 340 KB Output is correct
98 Correct 1 ms 340 KB Output is correct

Subtask #4
0 / 19.0

# 결과 실행 시간 메모리 Grader output
1 Correct 27 ms 6608 KB Output is correct
2 Correct 3 ms 2644 KB Output is correct
3 Correct 21 ms 5792 KB Output is correct
4 Correct 23 ms 5872 KB Output is correct
5 Correct 37 ms 7276 KB Output is correct
6 Execution timed out 3065 ms 8228 KB Time limit exceeded
7 Halted 0 ms 0 KB -

Subtask #5
0 / 26.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 320 KB Output is correct
4 Correct 1 ms 320 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 0 ms 312 KB Output is correct
9 Correct 1 ms 320 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 1 ms 320 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 0 ms 328 KB Output is correct
17 Correct 1 ms 212 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 1 ms 212 KB Output is correct
20 Correct 1 ms 212 KB Output is correct
21 Correct 0 ms 212 KB Output is correct
22 Correct 0 ms 212 KB Output is correct
23 Correct 1 ms 212 KB Output is correct
24 Correct 1 ms 212 KB Output is correct
25 Correct 1 ms 212 KB Output is correct
26 Correct 1 ms 320 KB Output is correct
27 Correct 1 ms 212 KB Output is correct
28 Correct 1 ms 320 KB Output is correct
29 Correct 0 ms 212 KB Output is correct
30 Correct 0 ms 316 KB Output is correct
31 Correct 0 ms 212 KB Output is correct
32 Correct 0 ms 212 KB Output is correct
33 Correct 1 ms 212 KB Output is correct
34 Correct 1 ms 316 KB Output is correct
35 Correct 1 ms 212 KB Output is correct
36 Correct 0 ms 212 KB Output is correct
37 Correct 0 ms 212 KB Output is correct
38 Correct 1 ms 212 KB Output is correct
39 Correct 1 ms 316 KB Output is correct
40 Correct 1 ms 320 KB Output is correct
41 Correct 1 ms 212 KB Output is correct
42 Correct 0 ms 212 KB Output is correct
43 Correct 1 ms 324 KB Output is correct
44 Correct 1 ms 212 KB Output is correct
45 Correct 0 ms 212 KB Output is correct
46 Correct 0 ms 212 KB Output is correct
47 Correct 1 ms 212 KB Output is correct
48 Correct 1 ms 212 KB Output is correct
49 Correct 1 ms 340 KB Output is correct
50 Correct 1 ms 212 KB Output is correct
51 Correct 1 ms 212 KB Output is correct
52 Correct 0 ms 212 KB Output is correct
53 Correct 1 ms 316 KB Output is correct
54 Correct 1 ms 212 KB Output is correct
55 Correct 1 ms 212 KB Output is correct
56 Correct 1 ms 212 KB Output is correct
57 Correct 1 ms 212 KB Output is correct
58 Correct 1 ms 212 KB Output is correct
59 Correct 0 ms 212 KB Output is correct
60 Correct 0 ms 212 KB Output is correct
61 Correct 0 ms 212 KB Output is correct
62 Correct 1 ms 340 KB Output is correct
63 Correct 1 ms 212 KB Output is correct
64 Correct 0 ms 320 KB Output is correct
65 Correct 0 ms 212 KB Output is correct
66 Correct 1 ms 324 KB Output is correct
67 Correct 1 ms 212 KB Output is correct
68 Correct 0 ms 212 KB Output is correct
69 Correct 1 ms 212 KB Output is correct
70 Correct 1 ms 340 KB Output is correct
71 Correct 40 ms 340 KB Output is correct
72 Correct 1 ms 212 KB Output is correct
73 Correct 1 ms 340 KB Output is correct
74 Correct 1 ms 340 KB Output is correct
75 Correct 0 ms 212 KB Output is correct
76 Correct 1 ms 324 KB Output is correct
77 Correct 1 ms 340 KB Output is correct
78 Correct 1 ms 340 KB Output is correct
79 Correct 1 ms 340 KB Output is correct
80 Correct 1 ms 340 KB Output is correct
81 Correct 1 ms 340 KB Output is correct
82 Correct 1 ms 340 KB Output is correct
83 Correct 1 ms 340 KB Output is correct
84 Correct 1 ms 340 KB Output is correct
85 Correct 1 ms 320 KB Output is correct
86 Correct 0 ms 340 KB Output is correct
87 Correct 1 ms 344 KB Output is correct
88 Correct 0 ms 340 KB Output is correct
89 Correct 15 ms 372 KB Output is correct
90 Correct 1 ms 340 KB Output is correct
91 Correct 0 ms 340 KB Output is correct
92 Correct 1 ms 340 KB Output is correct
93 Correct 1 ms 340 KB Output is correct
94 Correct 1 ms 212 KB Output is correct
95 Correct 1 ms 340 KB Output is correct
96 Correct 1 ms 328 KB Output is correct
97 Correct 1 ms 340 KB Output is correct
98 Correct 1 ms 340 KB Output is correct
99 Correct 27 ms 6608 KB Output is correct
100 Correct 3 ms 2644 KB Output is correct
101 Correct 21 ms 5792 KB Output is correct
102 Correct 23 ms 5872 KB Output is correct
103 Correct 37 ms 7276 KB Output is correct
104 Execution timed out 3065 ms 8228 KB Time limit exceeded
105 Halted 0 ms 0 KB -