Submission #918376

# Submission time Handle Problem Language Result Execution time Memory
918376 2024-01-29T18:30:12 Z gs25 Council (JOI23_council) C++17
62 / 100
364 ms 58832 KB
#include <bits/stdc++.h> 

using namespace std; 


void __print(int x) { cerr << x; }
void __print(long x) { cerr << x; }
void __print(long long x) { cerr << x; }
void __print(unsigned x) { cerr << x; }
void __print(unsigned long x) { cerr << x; }
void __print(unsigned long long x) { cerr << x; }
void __print(float x) { cerr << x; }
void __print(double x) { cerr << x; }
void __print(long double x) { cerr << x; }
void __print(char x) { cerr << '\'' << x << '\''; }
void __print(const char *x) { cerr << '\"' << x << '\"'; }
void __print(const string &x) { cerr << '\"' << x << '\"'; }
void __print(bool x) { cerr << (x ? "true" : "false"); }

template <typename T, typename V> void __print(const pair<T, V> &x) {
  cerr << '{';
  __print(x.first);
  cerr << ", ";
  __print(x.second);
  cerr << '}';
}
template <typename T> void __print(const T &x) {
  int f = 0;
  cerr << '{';
  for (auto &i : x)
    cerr << (f++ ? ", " : ""), __print(i);
  cerr << "}";
}
void _print() { cerr << "]\n"; }
template <typename T, typename... V> void _print(T t, V... v) {
  __print(t);
  if (sizeof...(v))
    cerr << ", ";
  _print(v...);
}
#ifndef ONLINE_JUDGE
#define dbg(x...)                                                              \
  cerr << "\e[91m" << __func__ << ":" << __LINE__ << " [" << #x << "] = [";    \
  _print(x);                                                                   \
  cerr << "\e[39m" << endl;
#else
#define dbg(x...)
#endif	

#define rrep(i,n) for(int i=1; i<=n; i++)
#define rep(i,n) for(int i=0; i<n; i++)
#define all(v) (v).begin(), (v).end() 
#define ff first 
#define ss second 
#define pb push_back

int popcnt(int x){
	assert(x>=0);
	return __builtin_popcount(x);
}

int N,M; 

const int MAXN = 300100; 
int x[MAXN]; 
int p[30]; 

int cnt[MAXN]; 
long long dp[22][3000000]; 
int comb[300][300]; 


void solve(){
	comb[1][0] = 1; 
	comb[1][1] = 1; 
	for(int i=2; i<=22; i++){
		for(int j=0; j<=i; j++){
			comb[i][j] = comb[i-1][j]+(j!=0 ? comb[i-1][j-1] : 0); 
		}
	}
	cin >> N >> M; 
	int k = N/2; 
	const int MSK = (1<<M) - 1; 
	rep(i,N){
		rep(j,M){
			int a; cin >> a; 
			if(a==0) continue; 
			p[j] += a; 
			x[i] |= (1<<j); 
		}
		x[i] = (~x[i])&MSK; 
	}
	int zeros=0, ones=0, twos=0; 
	rep(j,M){
		if(p[j]>=k+2) zeros |= (1<<j); 
		if(p[j]==k+1) ones |= (1<<j); 
		if(p[j]==k) twos |= (1<<j); 
	}
	rep(i,N) cnt[x[i]]++; 
	for(int i=0; i<M; i++){
		for(int j=0; j<=MSK; j++){
			if( (j & (1<<i)) ==0) {
				cnt[j] += cnt[j^(1<<i)]; 
			}
		}
	}
	for(int j=0; j<= MSK; j++) dp[popcnt(j)][j] = cnt[j]; 
	for(int i=0; i<M; i++){
		for(int j=0; j<=MSK; j++){
			if(j&(1<<i)){
				rep(k,M) dp[k][j] += dp[k][j^(1<<i)]; 
			}
		}
	}
	rep(i,N){
		int tmp = (ones&(~x[i])) | (twos&(x[i]));
		assert(tmp>=0 && tmp<=MSK);
		// tmp maximize tmp | x[j];
		int MM = 0;   
		bool flag = false; 
		long long sum = 0, first_big=0, id=0; 
		for(int k=M; k>0; k--){
			if(!flag && dp[k][tmp]>0LL){
				if(popcnt(tmp&x[i])!=k){
					MM = k; break; 
				}
				flag=true; 
				if(dp[k][tmp]>1){
					MM = k; break; 
				}
				first_big=k; 
				sum = 1;
				id = 1;
				continue;  
			}
			if(flag){
				assert(id<30 && first_big < 30);
				sum = comb[first_big][id++];
				if(dp[k][tmp]>sum){
					MM = k; break; 
				} 
			}
		}
		cout << MM + popcnt(zeros|(ones&x[i])) << "\n"; 
	}
}

int32_t main(void){
	ios::sync_with_stdio(false); 
	cout.tie(nullptr); 
	cin.tie(nullptr);
	int t =1; // cin >> t; 
	while(t--) solve(); 
}
# Verdict Execution time Memory Grader output
1 Correct 2 ms 12632 KB Output is correct
2 Correct 4 ms 31068 KB Output is correct
3 Correct 3 ms 14684 KB Output is correct
4 Correct 2 ms 10588 KB Output is correct
5 Runtime error 11 ms 2904 KB Execution killed with signal 11
6 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 2 ms 12632 KB Output is correct
2 Correct 4 ms 31068 KB Output is correct
3 Correct 3 ms 14684 KB Output is correct
4 Correct 2 ms 10588 KB Output is correct
5 Runtime error 11 ms 2904 KB Execution killed with signal 11
6 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 2 ms 10584 KB Output is correct
2 Correct 42 ms 11236 KB Output is correct
3 Correct 46 ms 11344 KB Output is correct
4 Correct 31 ms 9052 KB Output is correct
5 Correct 53 ms 11088 KB Output is correct
6 Correct 42 ms 9052 KB Output is correct
7 Correct 51 ms 11084 KB Output is correct
8 Correct 2 ms 8540 KB Output is correct
9 Correct 2 ms 8540 KB Output is correct
10 Correct 1 ms 10588 KB Output is correct
11 Correct 2 ms 10588 KB Output is correct
12 Correct 2 ms 10588 KB Output is correct
13 Correct 1 ms 8536 KB Output is correct
14 Correct 2 ms 10584 KB Output is correct
15 Correct 2 ms 10588 KB Output is correct
16 Correct 2 ms 10588 KB Output is correct
17 Correct 3 ms 10588 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 10584 KB Output is correct
2 Correct 42 ms 11236 KB Output is correct
3 Correct 46 ms 11344 KB Output is correct
4 Correct 31 ms 9052 KB Output is correct
5 Correct 53 ms 11088 KB Output is correct
6 Correct 42 ms 9052 KB Output is correct
7 Correct 51 ms 11084 KB Output is correct
8 Correct 2 ms 8540 KB Output is correct
9 Correct 2 ms 8540 KB Output is correct
10 Correct 1 ms 10588 KB Output is correct
11 Correct 2 ms 10588 KB Output is correct
12 Correct 2 ms 10588 KB Output is correct
13 Correct 1 ms 8536 KB Output is correct
14 Correct 2 ms 10584 KB Output is correct
15 Correct 2 ms 10588 KB Output is correct
16 Correct 2 ms 10588 KB Output is correct
17 Correct 3 ms 10588 KB Output is correct
18 Correct 3 ms 12636 KB Output is correct
19 Correct 2 ms 14684 KB Output is correct
20 Correct 155 ms 27608 KB Output is correct
21 Correct 134 ms 25684 KB Output is correct
22 Correct 136 ms 25568 KB Output is correct
23 Correct 134 ms 27860 KB Output is correct
24 Correct 144 ms 27604 KB Output is correct
25 Correct 147 ms 27604 KB Output is correct
26 Correct 152 ms 27608 KB Output is correct
27 Correct 5 ms 26972 KB Output is correct
28 Correct 2 ms 12636 KB Output is correct
29 Correct 2 ms 14768 KB Output is correct
30 Correct 3 ms 16732 KB Output is correct
31 Correct 3 ms 18780 KB Output is correct
32 Correct 4 ms 20828 KB Output is correct
33 Correct 4 ms 23052 KB Output is correct
34 Correct 4 ms 24920 KB Output is correct
35 Correct 4 ms 26972 KB Output is correct
36 Correct 5 ms 27116 KB Output is correct
37 Correct 2 ms 12632 KB Output is correct
38 Correct 3 ms 14684 KB Output is correct
39 Correct 3 ms 16732 KB Output is correct
40 Correct 4 ms 18780 KB Output is correct
41 Correct 3 ms 20828 KB Output is correct
42 Correct 3 ms 22872 KB Output is correct
43 Correct 4 ms 25096 KB Output is correct
44 Correct 5 ms 27140 KB Output is correct
45 Correct 4 ms 26972 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 10584 KB Output is correct
2 Correct 42 ms 11236 KB Output is correct
3 Correct 46 ms 11344 KB Output is correct
4 Correct 31 ms 9052 KB Output is correct
5 Correct 53 ms 11088 KB Output is correct
6 Correct 42 ms 9052 KB Output is correct
7 Correct 51 ms 11084 KB Output is correct
8 Correct 2 ms 8540 KB Output is correct
9 Correct 2 ms 8540 KB Output is correct
10 Correct 1 ms 10588 KB Output is correct
11 Correct 2 ms 10588 KB Output is correct
12 Correct 2 ms 10588 KB Output is correct
13 Correct 1 ms 8536 KB Output is correct
14 Correct 2 ms 10584 KB Output is correct
15 Correct 2 ms 10588 KB Output is correct
16 Correct 2 ms 10588 KB Output is correct
17 Correct 3 ms 10588 KB Output is correct
18 Correct 3 ms 12636 KB Output is correct
19 Correct 2 ms 14684 KB Output is correct
20 Correct 155 ms 27608 KB Output is correct
21 Correct 134 ms 25684 KB Output is correct
22 Correct 136 ms 25568 KB Output is correct
23 Correct 134 ms 27860 KB Output is correct
24 Correct 144 ms 27604 KB Output is correct
25 Correct 147 ms 27604 KB Output is correct
26 Correct 152 ms 27608 KB Output is correct
27 Correct 5 ms 26972 KB Output is correct
28 Correct 2 ms 12636 KB Output is correct
29 Correct 2 ms 14768 KB Output is correct
30 Correct 3 ms 16732 KB Output is correct
31 Correct 3 ms 18780 KB Output is correct
32 Correct 4 ms 20828 KB Output is correct
33 Correct 4 ms 23052 KB Output is correct
34 Correct 4 ms 24920 KB Output is correct
35 Correct 4 ms 26972 KB Output is correct
36 Correct 5 ms 27116 KB Output is correct
37 Correct 2 ms 12632 KB Output is correct
38 Correct 3 ms 14684 KB Output is correct
39 Correct 3 ms 16732 KB Output is correct
40 Correct 4 ms 18780 KB Output is correct
41 Correct 3 ms 20828 KB Output is correct
42 Correct 3 ms 22872 KB Output is correct
43 Correct 4 ms 25096 KB Output is correct
44 Correct 5 ms 27140 KB Output is correct
45 Correct 4 ms 26972 KB Output is correct
46 Correct 6 ms 31068 KB Output is correct
47 Correct 207 ms 40148 KB Output is correct
48 Correct 187 ms 35920 KB Output is correct
49 Correct 189 ms 35872 KB Output is correct
50 Correct 194 ms 40240 KB Output is correct
51 Correct 192 ms 39896 KB Output is correct
52 Correct 206 ms 39892 KB Output is correct
53 Correct 209 ms 40144 KB Output is correct
54 Correct 7 ms 39260 KB Output is correct
55 Correct 7 ms 39260 KB Output is correct
56 Correct 6 ms 39444 KB Output is correct
57 Correct 7 ms 39412 KB Output is correct
58 Correct 7 ms 39260 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 10584 KB Output is correct
2 Correct 42 ms 11236 KB Output is correct
3 Correct 46 ms 11344 KB Output is correct
4 Correct 31 ms 9052 KB Output is correct
5 Correct 53 ms 11088 KB Output is correct
6 Correct 42 ms 9052 KB Output is correct
7 Correct 51 ms 11084 KB Output is correct
8 Correct 2 ms 8540 KB Output is correct
9 Correct 2 ms 8540 KB Output is correct
10 Correct 1 ms 10588 KB Output is correct
11 Correct 2 ms 10588 KB Output is correct
12 Correct 2 ms 10588 KB Output is correct
13 Correct 1 ms 8536 KB Output is correct
14 Correct 2 ms 10584 KB Output is correct
15 Correct 2 ms 10588 KB Output is correct
16 Correct 2 ms 10588 KB Output is correct
17 Correct 3 ms 10588 KB Output is correct
18 Correct 3 ms 12636 KB Output is correct
19 Correct 2 ms 14684 KB Output is correct
20 Correct 155 ms 27608 KB Output is correct
21 Correct 134 ms 25684 KB Output is correct
22 Correct 136 ms 25568 KB Output is correct
23 Correct 134 ms 27860 KB Output is correct
24 Correct 144 ms 27604 KB Output is correct
25 Correct 147 ms 27604 KB Output is correct
26 Correct 152 ms 27608 KB Output is correct
27 Correct 5 ms 26972 KB Output is correct
28 Correct 2 ms 12636 KB Output is correct
29 Correct 2 ms 14768 KB Output is correct
30 Correct 3 ms 16732 KB Output is correct
31 Correct 3 ms 18780 KB Output is correct
32 Correct 4 ms 20828 KB Output is correct
33 Correct 4 ms 23052 KB Output is correct
34 Correct 4 ms 24920 KB Output is correct
35 Correct 4 ms 26972 KB Output is correct
36 Correct 5 ms 27116 KB Output is correct
37 Correct 2 ms 12632 KB Output is correct
38 Correct 3 ms 14684 KB Output is correct
39 Correct 3 ms 16732 KB Output is correct
40 Correct 4 ms 18780 KB Output is correct
41 Correct 3 ms 20828 KB Output is correct
42 Correct 3 ms 22872 KB Output is correct
43 Correct 4 ms 25096 KB Output is correct
44 Correct 5 ms 27140 KB Output is correct
45 Correct 4 ms 26972 KB Output is correct
46 Correct 6 ms 31068 KB Output is correct
47 Correct 207 ms 40148 KB Output is correct
48 Correct 187 ms 35920 KB Output is correct
49 Correct 189 ms 35872 KB Output is correct
50 Correct 194 ms 40240 KB Output is correct
51 Correct 192 ms 39896 KB Output is correct
52 Correct 206 ms 39892 KB Output is correct
53 Correct 209 ms 40144 KB Output is correct
54 Correct 7 ms 39260 KB Output is correct
55 Correct 7 ms 39260 KB Output is correct
56 Correct 6 ms 39444 KB Output is correct
57 Correct 7 ms 39412 KB Output is correct
58 Correct 7 ms 39260 KB Output is correct
59 Correct 280 ms 48340 KB Output is correct
60 Correct 135 ms 58196 KB Output is correct
61 Correct 150 ms 58332 KB Output is correct
62 Correct 148 ms 58192 KB Output is correct
63 Correct 227 ms 48084 KB Output is correct
64 Correct 272 ms 58452 KB Output is correct
65 Correct 364 ms 58572 KB Output is correct
66 Correct 251 ms 58832 KB Output is correct
67 Correct 279 ms 56784 KB Output is correct
68 Correct 276 ms 58592 KB Output is correct
69 Correct 278 ms 58752 KB Output is correct
70 Correct 44 ms 57948 KB Output is correct
71 Correct 50 ms 57948 KB Output is correct
72 Correct 42 ms 57944 KB Output is correct
73 Correct 41 ms 57948 KB Output is correct
74 Correct 52 ms 57944 KB Output is correct
75 Correct 63 ms 57948 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 12632 KB Output is correct
2 Correct 4 ms 31068 KB Output is correct
3 Correct 3 ms 14684 KB Output is correct
4 Correct 2 ms 10588 KB Output is correct
5 Runtime error 11 ms 2904 KB Execution killed with signal 11
6 Halted 0 ms 0 KB -