Submission #815530

# Submission time Handle Problem Language Result Execution time Memory
815530 2023-08-08T16:37:29 Z happypotato Council (JOI23_council) C++17
40 / 100
651 ms 53384 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 smaller one
							if (comp(cur, dpb[cur].ff)) {
								if (comp(cur, dpb[conf].ss)) {
									dpb[conf].ss = cur;
								}
								cur = dpb[ncur].ff;
							} else {
								if (comp(dpb[ncur].ff, dpb[conf].ss)) {
									dpb[conf].ss = dpb[ncur].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 267 ms 17780 KB Output is correct
7 Correct 320 ms 20520 KB Output is correct
8 Incorrect 334 ms 20904 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 267 ms 17780 KB Output is correct
7 Correct 320 ms 20520 KB Output is correct
8 Incorrect 334 ms 20904 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 347 ms 50248 KB Output is correct
3 Correct 340 ms 50184 KB Output is correct
4 Correct 332 ms 50212 KB Output is correct
5 Correct 377 ms 50184 KB Output is correct
6 Correct 348 ms 50172 KB Output is correct
7 Correct 357 ms 50160 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 0 ms 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 1 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 347 ms 50248 KB Output is correct
3 Correct 340 ms 50184 KB Output is correct
4 Correct 332 ms 50212 KB Output is correct
5 Correct 377 ms 50184 KB Output is correct
6 Correct 348 ms 50172 KB Output is correct
7 Correct 357 ms 50160 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 0 ms 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 1 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 1 ms 340 KB Output is correct
19 Correct 0 ms 340 KB Output is correct
20 Correct 489 ms 50236 KB Output is correct
21 Correct 483 ms 50256 KB Output is correct
22 Correct 478 ms 50368 KB Output is correct
23 Correct 473 ms 50520 KB Output is correct
24 Correct 473 ms 50200 KB Output is correct
25 Correct 513 ms 50344 KB Output is correct
26 Correct 520 ms 50272 KB Output is correct
27 Correct 0 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 1 ms 340 KB Output is correct
34 Correct 1 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 0 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 347 ms 50248 KB Output is correct
3 Correct 340 ms 50184 KB Output is correct
4 Correct 332 ms 50212 KB Output is correct
5 Correct 377 ms 50184 KB Output is correct
6 Correct 348 ms 50172 KB Output is correct
7 Correct 357 ms 50160 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 0 ms 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 1 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 1 ms 340 KB Output is correct
19 Correct 0 ms 340 KB Output is correct
20 Correct 489 ms 50236 KB Output is correct
21 Correct 483 ms 50256 KB Output is correct
22 Correct 478 ms 50368 KB Output is correct
23 Correct 473 ms 50520 KB Output is correct
24 Correct 473 ms 50200 KB Output is correct
25 Correct 513 ms 50344 KB Output is correct
26 Correct 520 ms 50272 KB Output is correct
27 Correct 0 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 1 ms 340 KB Output is correct
34 Correct 1 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 0 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 562 ms 50616 KB Output is correct
48 Correct 598 ms 50416 KB Output is correct
49 Correct 531 ms 50396 KB Output is correct
50 Correct 549 ms 50884 KB Output is correct
51 Correct 515 ms 50580 KB Output is correct
52 Correct 555 ms 50636 KB Output is correct
53 Correct 606 ms 50936 KB Output is correct
54 Correct 3 ms 596 KB Output is correct
55 Correct 4 ms 596 KB Output is correct
56 Correct 4 ms 724 KB Output is correct
57 Correct 4 ms 724 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 347 ms 50248 KB Output is correct
3 Correct 340 ms 50184 KB Output is correct
4 Correct 332 ms 50212 KB Output is correct
5 Correct 377 ms 50184 KB Output is correct
6 Correct 348 ms 50172 KB Output is correct
7 Correct 357 ms 50160 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 0 ms 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 1 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 1 ms 340 KB Output is correct
19 Correct 0 ms 340 KB Output is correct
20 Correct 489 ms 50236 KB Output is correct
21 Correct 483 ms 50256 KB Output is correct
22 Correct 478 ms 50368 KB Output is correct
23 Correct 473 ms 50520 KB Output is correct
24 Correct 473 ms 50200 KB Output is correct
25 Correct 513 ms 50344 KB Output is correct
26 Correct 520 ms 50272 KB Output is correct
27 Correct 0 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 1 ms 340 KB Output is correct
34 Correct 1 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 0 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 562 ms 50616 KB Output is correct
48 Correct 598 ms 50416 KB Output is correct
49 Correct 531 ms 50396 KB Output is correct
50 Correct 549 ms 50884 KB Output is correct
51 Correct 515 ms 50580 KB Output is correct
52 Correct 555 ms 50636 KB Output is correct
53 Correct 606 ms 50936 KB Output is correct
54 Correct 3 ms 596 KB Output is correct
55 Correct 4 ms 596 KB Output is correct
56 Correct 4 ms 724 KB Output is correct
57 Correct 4 ms 724 KB Output is correct
58 Correct 4 ms 724 KB Output is correct
59 Correct 618 ms 52064 KB Output is correct
60 Correct 266 ms 22600 KB Output is correct
61 Correct 293 ms 24128 KB Output is correct
62 Correct 290 ms 24668 KB Output is correct
63 Correct 614 ms 51796 KB Output is correct
64 Correct 651 ms 53384 KB Output is correct
65 Incorrect 633 ms 53328 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 267 ms 17780 KB Output is correct
7 Correct 320 ms 20520 KB Output is correct
8 Incorrect 334 ms 20904 KB Output isn't correct
9 Halted 0 ms 0 KB -