Submission #815519

# Submission time Handle Problem Language Result Execution time Memory
815519 2023-08-08T16:25:16 Z happypotato Council (JOI23_council) C++17
40 / 100
652 ms 63328 KB
#include <bits/stdc++.h>
using namespace std;
#define int long long
#define pii pair<int, int>
#define ff first
#define ss second
#define pb push_back
// global
int a[300001];
int n, m;
int dpf[(1 << 20)]; // 0: 0, -1: 2+, x: position x
pii dpb[(1 << 20)]; // {which level != 0, which level -1}
bool vis[(1 << 20)];
int ps[300001][20];
void init() {
	// init

}
void PrecompDPF() {
	for (int i = 1; i <= n; i++) {
		if (dpf[a[i]] == 0) dpf[a[i]] = i;
		else dpf[a[i]] = -1;
	}
	for (int bit = 0; bit < m; bit++) {
		for (int conf = 0; conf < (1 << m); conf++) {
			if (conf & (1 << bit)) {
				int prev = (conf ^ (1 << bit));
				// cerr << "ADD " << prev << " TO " << conf << endl;
				if (dpf[prev] == -1) {
					dpf[conf] = -1;
				} else if (dpf[prev] != 0) {
					if (dpf[conf] == 0) {
						dpf[conf] = dpf[prev];
					} else {
						dpf[conf] = -1;
					}
				}
			}
		}
	}
}
bool comp(int &lhs, int &rhs) {
	return __builtin_popcount(lhs) < __builtin_popcount(rhs);
}
void PrecompDPB() {
	for (int conf = 0; conf < (1 << m); conf++) {
		if (dpf[conf] == -1) {
			dpb[conf] = {conf, conf};
		} else if (dpf[conf] != 0) {
			dpb[conf] = {conf, -1};
		} else {
			dpb[conf] = {-1, -1};
		}
		vis[conf] = false;
		// cerr << conf << ' ' << dpb[conf].ff << ' ' << dpb[conf].ss << endl;
	}
	for (int bits = m - 1; bits >= 0; bits--) {
		for (int conf = 0; conf < (1 << m); conf++) {
			if (__builtin_popcount(conf) != bits) continue;
			int ncur;
			int cur = 0;
			for (int i = 0; i < m; i++) {
				if (!bool(conf & (1 << i))) {
					ncur = (conf ^ (1 << i));
					if (dpb[ncur].ff != -1) {
						if (comp(dpb[ncur].ff, dpb[conf].ff)) {
							dpb[conf].ff = dpb[ncur].ff;
						}
						if (dpf[dpb[ncur].ff] == -1) {
							if (comp(dpb[ncur].ff, dpb[conf].ss)) {
								dpb[conf].ss = dpb[ncur].ff;
							}
						} else if (cur == 0) {
							cur = dpb[ncur].ff;
						} else if (dpf[cur] != dpf[dpb[ncur].ff]) {
							// take larger one
							if (!comp(cur, dpb[cur].ff)) {
								if (comp(dpb[ncur].ff, dpb[conf].ss)) {
									dpb[conf].ss = dpb[ncur].ff;
								}
							} else {
								if (comp(cur, dpb[conf].ss)) {
									dpb[conf].ss = cur;
								}
								cur = dpb[cur].ff;
							}
						}
					}
					if (dpb[ncur].ss != -1) {
						if (comp(dpb[ncur].ss, dpb[conf].ss)) {
							dpb[conf].ss = dpb[ncur].ss;
						}
						if (comp(dpb[ncur].ss, dpb[conf].ff)) {
							dpb[conf].ff = dpb[ncur].ss;
						}
					}
				}
			}
		}
	}
}
void PrecompPS() {
	for (int j = 0; j < m; j++) {
		ps[0][j] = 0;
		for (int i = 1; i <= n; i++) {
			ps[i][j] = ps[i - 1][j] + bool(a[i] & (1 << j));
		}
	}
}
void st7() {
	PrecompDPF();
	// cerr << "DPF:\n";
	// for (int i = 0; i < (1 << m); i++) cerr << dpf[i] << ' '; cerr << endl;
	// cerr << "END\n";
	PrecompDPB();
	// cerr << "DPB:\n";
	// for (int i = 0; i < (1 << m); i++) {
	// 	cerr << i << ": " << dpb[i].ff << ' ' << dpb[i].ss << endl;
	// }
	// cerr << "END\n";
	PrecompPS();
	for (int i = 1; i <= n; i++) {
		int ans = 0, tar = 0;
		for (int j = 0; j < m; j++) {
			if ((ps[n][j] - bool(a[i] & (1 << j))) > (n >> 1)) {
				ans++;
			} else if ((ps[n][j] - bool(a[i] & (1 << j))) == (n >> 1)) {
				tar |= (1 << j);
			}
		}
		tar ^= ((1 << m) - 1);
		// cerr << ans << ' ' << tar << endl;
		// cerr << dpb[tar].ff << ' ' << dpb[tar].ss << endl;
		int buff = 0;
		if (dpb[tar].ff != -1) {
			if (dpf[dpb[tar].ff] != i) {
				buff = max(buff, m - __builtin_popcount(dpb[tar].ff));
			}
		}
		if (dpb[tar].ss != -1) {
			buff = max(buff, m - __builtin_popcount(dpb[tar].ss));
		}
		// cerr << ans << ' ' << buff << endl;
		ans += buff;
		cout << ans << endl;
	}
}
void st6() {
	return st7();
}
void st5() {
	return st7();
}
void st4() {
	return st7();
}
void st3() {
	return st7();
}
void st2() {
	return st7();
	PrecompPS();
	for (int i = 1; i <= n; i++) {
		int ans = 0;
		int cur;
		for (int j = 1; j <= n; j++) {
			if (i == j) continue;
			cur = 0;
			for (int k = 0; k < m; k++) {
				cur += ((ps[n][k] - bool(a[i] & (1 << k)) - bool(a[j] & (1 << k))) >= (n >> 1));
			}
			ans = max(ans, cur);
		}
		cout << ans << endl;
	}
}
void st1() {
	return st2();
}
void solve() {
	// solve
	cin >> n >> m;
	for (int i = 1; i <= n; i++) {
		a[i] = 0;
		bool temp;
		for (int j = 0; j < m; j++) {
			cin >> temp;
			if (temp) {
				a[i] |= (1 << j);
			}
		}
	}
	if (n <= 300) return st1();
	if (n <= 3000) return st2();
	if (m <= 2) return st3();
	if (m <= 10) return st4();
	if (m <= 14) return st5();
	if (m <= 17) return st6();
	return st7();
}
int32_t main() {
	ios::sync_with_stdio(0); cin.tie(0);
	init(); solve();
}
# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 0 ms 340 KB Output is correct
4 Correct 0 ms 340 KB Output is correct
5 Correct 286 ms 21872 KB Output is correct
6 Correct 273 ms 17736 KB Output is correct
7 Correct 310 ms 20520 KB Output is correct
8 Incorrect 346 ms 20908 KB Output isn't correct
9 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 0 ms 340 KB Output is correct
4 Correct 0 ms 340 KB Output is correct
5 Correct 286 ms 21872 KB Output is correct
6 Correct 273 ms 17736 KB Output is correct
7 Correct 310 ms 20520 KB Output is correct
8 Incorrect 346 ms 20908 KB Output isn't correct
9 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 349 ms 50248 KB Output is correct
3 Correct 339 ms 50120 KB Output is correct
4 Correct 333 ms 50292 KB Output is correct
5 Correct 343 ms 50200 KB Output is correct
6 Correct 338 ms 50296 KB Output is correct
7 Correct 346 ms 50184 KB Output is correct
8 Correct 0 ms 340 KB Output is correct
9 Correct 0 ms 340 KB Output is correct
10 Correct 0 ms 340 KB Output is correct
11 Correct 0 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 0 ms 340 KB Output is correct
14 Correct 0 ms 340 KB Output is correct
15 Correct 0 ms 340 KB Output is correct
16 Correct 1 ms 340 KB Output is correct
17 Correct 4 ms 852 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 349 ms 50248 KB Output is correct
3 Correct 339 ms 50120 KB Output is correct
4 Correct 333 ms 50292 KB Output is correct
5 Correct 343 ms 50200 KB Output is correct
6 Correct 338 ms 50296 KB Output is correct
7 Correct 346 ms 50184 KB Output is correct
8 Correct 0 ms 340 KB Output is correct
9 Correct 0 ms 340 KB Output is correct
10 Correct 0 ms 340 KB Output is correct
11 Correct 0 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 0 ms 340 KB Output is correct
14 Correct 0 ms 340 KB Output is correct
15 Correct 0 ms 340 KB Output is correct
16 Correct 1 ms 340 KB Output is correct
17 Correct 4 ms 852 KB Output is correct
18 Correct 0 ms 340 KB Output is correct
19 Correct 0 ms 340 KB Output is correct
20 Correct 497 ms 50232 KB Output is correct
21 Correct 463 ms 50200 KB Output is correct
22 Correct 473 ms 50312 KB Output is correct
23 Correct 478 ms 50496 KB Output is correct
24 Correct 461 ms 50288 KB Output is correct
25 Correct 485 ms 50332 KB Output is correct
26 Correct 489 ms 50212 KB Output is correct
27 Correct 1 ms 340 KB Output is correct
28 Correct 0 ms 340 KB Output is correct
29 Correct 0 ms 340 KB Output is correct
30 Correct 0 ms 340 KB Output is correct
31 Correct 1 ms 340 KB Output is correct
32 Correct 0 ms 340 KB Output is correct
33 Correct 0 ms 340 KB Output is correct
34 Correct 0 ms 340 KB Output is correct
35 Correct 1 ms 340 KB Output is correct
36 Correct 1 ms 340 KB Output is correct
37 Correct 0 ms 340 KB Output is correct
38 Correct 0 ms 340 KB Output is correct
39 Correct 0 ms 340 KB Output is correct
40 Correct 1 ms 340 KB Output is correct
41 Correct 0 ms 340 KB Output is correct
42 Correct 0 ms 340 KB Output is correct
43 Correct 0 ms 340 KB Output is correct
44 Correct 1 ms 340 KB Output is correct
45 Correct 1 ms 340 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 349 ms 50248 KB Output is correct
3 Correct 339 ms 50120 KB Output is correct
4 Correct 333 ms 50292 KB Output is correct
5 Correct 343 ms 50200 KB Output is correct
6 Correct 338 ms 50296 KB Output is correct
7 Correct 346 ms 50184 KB Output is correct
8 Correct 0 ms 340 KB Output is correct
9 Correct 0 ms 340 KB Output is correct
10 Correct 0 ms 340 KB Output is correct
11 Correct 0 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 0 ms 340 KB Output is correct
14 Correct 0 ms 340 KB Output is correct
15 Correct 0 ms 340 KB Output is correct
16 Correct 1 ms 340 KB Output is correct
17 Correct 4 ms 852 KB Output is correct
18 Correct 0 ms 340 KB Output is correct
19 Correct 0 ms 340 KB Output is correct
20 Correct 497 ms 50232 KB Output is correct
21 Correct 463 ms 50200 KB Output is correct
22 Correct 473 ms 50312 KB Output is correct
23 Correct 478 ms 50496 KB Output is correct
24 Correct 461 ms 50288 KB Output is correct
25 Correct 485 ms 50332 KB Output is correct
26 Correct 489 ms 50212 KB Output is correct
27 Correct 1 ms 340 KB Output is correct
28 Correct 0 ms 340 KB Output is correct
29 Correct 0 ms 340 KB Output is correct
30 Correct 0 ms 340 KB Output is correct
31 Correct 1 ms 340 KB Output is correct
32 Correct 0 ms 340 KB Output is correct
33 Correct 0 ms 340 KB Output is correct
34 Correct 0 ms 340 KB Output is correct
35 Correct 1 ms 340 KB Output is correct
36 Correct 1 ms 340 KB Output is correct
37 Correct 0 ms 340 KB Output is correct
38 Correct 0 ms 340 KB Output is correct
39 Correct 0 ms 340 KB Output is correct
40 Correct 1 ms 340 KB Output is correct
41 Correct 0 ms 340 KB Output is correct
42 Correct 0 ms 340 KB Output is correct
43 Correct 0 ms 340 KB Output is correct
44 Correct 1 ms 340 KB Output is correct
45 Correct 1 ms 340 KB Output is correct
46 Correct 1 ms 340 KB Output is correct
47 Correct 556 ms 50632 KB Output is correct
48 Correct 537 ms 50440 KB Output is correct
49 Correct 535 ms 50380 KB Output is correct
50 Correct 550 ms 50784 KB Output is correct
51 Correct 523 ms 50616 KB Output is correct
52 Correct 558 ms 50548 KB Output is correct
53 Correct 573 ms 50836 KB Output is correct
54 Correct 4 ms 596 KB Output is correct
55 Correct 4 ms 596 KB Output is correct
56 Correct 4 ms 752 KB Output is correct
57 Correct 5 ms 728 KB Output is correct
58 Correct 4 ms 724 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 349 ms 50248 KB Output is correct
3 Correct 339 ms 50120 KB Output is correct
4 Correct 333 ms 50292 KB Output is correct
5 Correct 343 ms 50200 KB Output is correct
6 Correct 338 ms 50296 KB Output is correct
7 Correct 346 ms 50184 KB Output is correct
8 Correct 0 ms 340 KB Output is correct
9 Correct 0 ms 340 KB Output is correct
10 Correct 0 ms 340 KB Output is correct
11 Correct 0 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 0 ms 340 KB Output is correct
14 Correct 0 ms 340 KB Output is correct
15 Correct 0 ms 340 KB Output is correct
16 Correct 1 ms 340 KB Output is correct
17 Correct 4 ms 852 KB Output is correct
18 Correct 0 ms 340 KB Output is correct
19 Correct 0 ms 340 KB Output is correct
20 Correct 497 ms 50232 KB Output is correct
21 Correct 463 ms 50200 KB Output is correct
22 Correct 473 ms 50312 KB Output is correct
23 Correct 478 ms 50496 KB Output is correct
24 Correct 461 ms 50288 KB Output is correct
25 Correct 485 ms 50332 KB Output is correct
26 Correct 489 ms 50212 KB Output is correct
27 Correct 1 ms 340 KB Output is correct
28 Correct 0 ms 340 KB Output is correct
29 Correct 0 ms 340 KB Output is correct
30 Correct 0 ms 340 KB Output is correct
31 Correct 1 ms 340 KB Output is correct
32 Correct 0 ms 340 KB Output is correct
33 Correct 0 ms 340 KB Output is correct
34 Correct 0 ms 340 KB Output is correct
35 Correct 1 ms 340 KB Output is correct
36 Correct 1 ms 340 KB Output is correct
37 Correct 0 ms 340 KB Output is correct
38 Correct 0 ms 340 KB Output is correct
39 Correct 0 ms 340 KB Output is correct
40 Correct 1 ms 340 KB Output is correct
41 Correct 0 ms 340 KB Output is correct
42 Correct 0 ms 340 KB Output is correct
43 Correct 0 ms 340 KB Output is correct
44 Correct 1 ms 340 KB Output is correct
45 Correct 1 ms 340 KB Output is correct
46 Correct 1 ms 340 KB Output is correct
47 Correct 556 ms 50632 KB Output is correct
48 Correct 537 ms 50440 KB Output is correct
49 Correct 535 ms 50380 KB Output is correct
50 Correct 550 ms 50784 KB Output is correct
51 Correct 523 ms 50616 KB Output is correct
52 Correct 558 ms 50548 KB Output is correct
53 Correct 573 ms 50836 KB Output is correct
54 Correct 4 ms 596 KB Output is correct
55 Correct 4 ms 596 KB Output is correct
56 Correct 4 ms 752 KB Output is correct
57 Correct 5 ms 728 KB Output is correct
58 Correct 4 ms 724 KB Output is correct
59 Correct 628 ms 61488 KB Output is correct
60 Correct 265 ms 26472 KB Output is correct
61 Correct 281 ms 28104 KB Output is correct
62 Correct 291 ms 28968 KB Output is correct
63 Correct 601 ms 61228 KB Output is correct
64 Correct 646 ms 63328 KB Output is correct
65 Incorrect 652 ms 63292 KB Output isn't correct
66 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 0 ms 340 KB Output is correct
4 Correct 0 ms 340 KB Output is correct
5 Correct 286 ms 21872 KB Output is correct
6 Correct 273 ms 17736 KB Output is correct
7 Correct 310 ms 20520 KB Output is correct
8 Incorrect 346 ms 20908 KB Output isn't correct
9 Halted 0 ms 0 KB -