Submission #815528

# Submission time Handle Problem Language Result Execution time Memory
815528 2023-08-08T16:36:19 Z happypotato Council (JOI23_council) C++17
40 / 100
669 ms 53416 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;
								}
								cur = dpb[cur].ff;
							} else {
								if (comp(cur, dpb[conf].ss)) {
									dpb[conf].ss = cur;
								}
							}
						}
					}
					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 1 ms 340 KB Output is correct
5 Correct 284 ms 21872 KB Output is correct
6 Correct 271 ms 17748 KB Output is correct
7 Correct 304 ms 20616 KB Output is correct
8 Incorrect 331 ms 20912 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 1 ms 340 KB Output is correct
5 Correct 284 ms 21872 KB Output is correct
6 Correct 271 ms 17748 KB Output is correct
7 Correct 304 ms 20616 KB Output is correct
8 Incorrect 331 ms 20912 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 356 ms 50328 KB Output is correct
3 Correct 336 ms 50124 KB Output is correct
4 Correct 334 ms 50140 KB Output is correct
5 Correct 337 ms 50124 KB Output is correct
6 Correct 324 ms 50212 KB Output is correct
7 Correct 343 ms 50148 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 356 ms 50328 KB Output is correct
3 Correct 336 ms 50124 KB Output is correct
4 Correct 334 ms 50140 KB Output is correct
5 Correct 337 ms 50124 KB Output is correct
6 Correct 324 ms 50212 KB Output is correct
7 Correct 343 ms 50148 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 296 KB Output is correct
20 Correct 478 ms 50152 KB Output is correct
21 Correct 464 ms 50252 KB Output is correct
22 Correct 460 ms 50168 KB Output is correct
23 Correct 474 ms 50640 KB Output is correct
24 Correct 468 ms 50276 KB Output is correct
25 Correct 480 ms 50252 KB Output is correct
26 Correct 491 ms 50252 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 356 ms 50328 KB Output is correct
3 Correct 336 ms 50124 KB Output is correct
4 Correct 334 ms 50140 KB Output is correct
5 Correct 337 ms 50124 KB Output is correct
6 Correct 324 ms 50212 KB Output is correct
7 Correct 343 ms 50148 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 296 KB Output is correct
20 Correct 478 ms 50152 KB Output is correct
21 Correct 464 ms 50252 KB Output is correct
22 Correct 460 ms 50168 KB Output is correct
23 Correct 474 ms 50640 KB Output is correct
24 Correct 468 ms 50276 KB Output is correct
25 Correct 480 ms 50252 KB Output is correct
26 Correct 491 ms 50252 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 563 ms 50576 KB Output is correct
48 Correct 530 ms 50340 KB Output is correct
49 Correct 546 ms 50540 KB Output is correct
50 Correct 546 ms 50752 KB Output is correct
51 Correct 519 ms 50576 KB Output is correct
52 Correct 552 ms 50640 KB Output is correct
53 Correct 566 ms 50896 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 356 ms 50328 KB Output is correct
3 Correct 336 ms 50124 KB Output is correct
4 Correct 334 ms 50140 KB Output is correct
5 Correct 337 ms 50124 KB Output is correct
6 Correct 324 ms 50212 KB Output is correct
7 Correct 343 ms 50148 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 296 KB Output is correct
20 Correct 478 ms 50152 KB Output is correct
21 Correct 464 ms 50252 KB Output is correct
22 Correct 460 ms 50168 KB Output is correct
23 Correct 474 ms 50640 KB Output is correct
24 Correct 468 ms 50276 KB Output is correct
25 Correct 480 ms 50252 KB Output is correct
26 Correct 491 ms 50252 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 563 ms 50576 KB Output is correct
48 Correct 530 ms 50340 KB Output is correct
49 Correct 546 ms 50540 KB Output is correct
50 Correct 546 ms 50752 KB Output is correct
51 Correct 519 ms 50576 KB Output is correct
52 Correct 552 ms 50640 KB Output is correct
53 Correct 566 ms 50896 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 604 ms 52132 KB Output is correct
60 Correct 267 ms 22604 KB Output is correct
61 Correct 424 ms 23988 KB Output is correct
62 Correct 290 ms 24776 KB Output is correct
63 Correct 609 ms 51916 KB Output is correct
64 Correct 666 ms 53416 KB Output is correct
65 Incorrect 669 ms 53344 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 1 ms 340 KB Output is correct
5 Correct 284 ms 21872 KB Output is correct
6 Correct 271 ms 17748 KB Output is correct
7 Correct 304 ms 20616 KB Output is correct
8 Incorrect 331 ms 20912 KB Output isn't correct
9 Halted 0 ms 0 KB -