Submission #918381

# Submission time Handle Problem Language Result Execution time Memory
918381 2024-01-29T18:38:46 Z gs25 Council (JOI23_council) C++17
62 / 100
284 ms 57940 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[30][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] = MSK^x[i]; 
	}
	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&(MSK^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--){
			assert(tmp>=0 && tmp<=MSK);
			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 10588 KB Output is correct
2 Correct 4 ms 29020 KB Output is correct
3 Correct 2 ms 12636 KB Output is correct
4 Correct 2 ms 8536 KB Output is correct
5 Runtime error 15 ms 3676 KB Execution killed with signal 11
6 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 2 ms 10588 KB Output is correct
2 Correct 4 ms 29020 KB Output is correct
3 Correct 2 ms 12636 KB Output is correct
4 Correct 2 ms 8536 KB Output is correct
5 Runtime error 15 ms 3676 KB Execution killed with signal 11
6 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 1 ms 8536 KB Output is correct
2 Correct 43 ms 10320 KB Output is correct
3 Correct 43 ms 10328 KB Output is correct
4 Correct 31 ms 8164 KB Output is correct
5 Correct 45 ms 10324 KB Output is correct
6 Correct 35 ms 8276 KB Output is correct
7 Correct 48 ms 10324 KB Output is correct
8 Correct 1 ms 6488 KB Output is correct
9 Correct 1 ms 6492 KB Output is correct
10 Correct 1 ms 8540 KB Output is correct
11 Correct 2 ms 8536 KB Output is correct
12 Correct 2 ms 8536 KB Output is correct
13 Correct 1 ms 6492 KB Output is correct
14 Correct 2 ms 8540 KB Output is correct
15 Correct 1 ms 8540 KB Output is correct
16 Correct 2 ms 8540 KB Output is correct
17 Correct 2 ms 8540 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 8536 KB Output is correct
2 Correct 43 ms 10320 KB Output is correct
3 Correct 43 ms 10328 KB Output is correct
4 Correct 31 ms 8164 KB Output is correct
5 Correct 45 ms 10324 KB Output is correct
6 Correct 35 ms 8276 KB Output is correct
7 Correct 48 ms 10324 KB Output is correct
8 Correct 1 ms 6488 KB Output is correct
9 Correct 1 ms 6492 KB Output is correct
10 Correct 1 ms 8540 KB Output is correct
11 Correct 2 ms 8536 KB Output is correct
12 Correct 2 ms 8536 KB Output is correct
13 Correct 1 ms 6492 KB Output is correct
14 Correct 2 ms 8540 KB Output is correct
15 Correct 1 ms 8540 KB Output is correct
16 Correct 2 ms 8540 KB Output is correct
17 Correct 2 ms 8540 KB Output is correct
18 Correct 2 ms 10588 KB Output is correct
19 Correct 2 ms 12636 KB Output is correct
20 Correct 150 ms 26588 KB Output is correct
21 Correct 144 ms 24600 KB Output is correct
22 Correct 137 ms 24656 KB Output is correct
23 Correct 135 ms 26960 KB Output is correct
24 Correct 134 ms 26780 KB Output is correct
25 Correct 167 ms 26708 KB Output is correct
26 Correct 155 ms 26728 KB Output is correct
27 Correct 4 ms 24924 KB Output is correct
28 Correct 2 ms 10588 KB Output is correct
29 Correct 2 ms 12636 KB Output is correct
30 Correct 2 ms 14684 KB Output is correct
31 Correct 3 ms 16732 KB Output is correct
32 Correct 3 ms 18780 KB Output is correct
33 Correct 3 ms 21004 KB Output is correct
34 Correct 3 ms 22876 KB Output is correct
35 Correct 4 ms 24924 KB Output is correct
36 Correct 4 ms 24924 KB Output is correct
37 Correct 2 ms 10588 KB Output is correct
38 Correct 2 ms 12636 KB Output is correct
39 Correct 3 ms 14684 KB Output is correct
40 Correct 3 ms 16880 KB Output is correct
41 Correct 3 ms 18780 KB Output is correct
42 Correct 3 ms 20824 KB Output is correct
43 Correct 4 ms 22876 KB Output is correct
44 Correct 4 ms 24920 KB Output is correct
45 Correct 4 ms 24920 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 8536 KB Output is correct
2 Correct 43 ms 10320 KB Output is correct
3 Correct 43 ms 10328 KB Output is correct
4 Correct 31 ms 8164 KB Output is correct
5 Correct 45 ms 10324 KB Output is correct
6 Correct 35 ms 8276 KB Output is correct
7 Correct 48 ms 10324 KB Output is correct
8 Correct 1 ms 6488 KB Output is correct
9 Correct 1 ms 6492 KB Output is correct
10 Correct 1 ms 8540 KB Output is correct
11 Correct 2 ms 8536 KB Output is correct
12 Correct 2 ms 8536 KB Output is correct
13 Correct 1 ms 6492 KB Output is correct
14 Correct 2 ms 8540 KB Output is correct
15 Correct 1 ms 8540 KB Output is correct
16 Correct 2 ms 8540 KB Output is correct
17 Correct 2 ms 8540 KB Output is correct
18 Correct 2 ms 10588 KB Output is correct
19 Correct 2 ms 12636 KB Output is correct
20 Correct 150 ms 26588 KB Output is correct
21 Correct 144 ms 24600 KB Output is correct
22 Correct 137 ms 24656 KB Output is correct
23 Correct 135 ms 26960 KB Output is correct
24 Correct 134 ms 26780 KB Output is correct
25 Correct 167 ms 26708 KB Output is correct
26 Correct 155 ms 26728 KB Output is correct
27 Correct 4 ms 24924 KB Output is correct
28 Correct 2 ms 10588 KB Output is correct
29 Correct 2 ms 12636 KB Output is correct
30 Correct 2 ms 14684 KB Output is correct
31 Correct 3 ms 16732 KB Output is correct
32 Correct 3 ms 18780 KB Output is correct
33 Correct 3 ms 21004 KB Output is correct
34 Correct 3 ms 22876 KB Output is correct
35 Correct 4 ms 24924 KB Output is correct
36 Correct 4 ms 24924 KB Output is correct
37 Correct 2 ms 10588 KB Output is correct
38 Correct 2 ms 12636 KB Output is correct
39 Correct 3 ms 14684 KB Output is correct
40 Correct 3 ms 16880 KB Output is correct
41 Correct 3 ms 18780 KB Output is correct
42 Correct 3 ms 20824 KB Output is correct
43 Correct 4 ms 22876 KB Output is correct
44 Correct 4 ms 24920 KB Output is correct
45 Correct 4 ms 24920 KB Output is correct
46 Correct 4 ms 29016 KB Output is correct
47 Correct 203 ms 39044 KB Output is correct
48 Correct 204 ms 34900 KB Output is correct
49 Correct 195 ms 35032 KB Output is correct
50 Correct 182 ms 39292 KB Output is correct
51 Correct 183 ms 39048 KB Output is correct
52 Correct 209 ms 39100 KB Output is correct
53 Correct 206 ms 39248 KB Output is correct
54 Correct 8 ms 37208 KB Output is correct
55 Correct 6 ms 37212 KB Output is correct
56 Correct 7 ms 37212 KB Output is correct
57 Correct 7 ms 37212 KB Output is correct
58 Correct 7 ms 37420 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 8536 KB Output is correct
2 Correct 43 ms 10320 KB Output is correct
3 Correct 43 ms 10328 KB Output is correct
4 Correct 31 ms 8164 KB Output is correct
5 Correct 45 ms 10324 KB Output is correct
6 Correct 35 ms 8276 KB Output is correct
7 Correct 48 ms 10324 KB Output is correct
8 Correct 1 ms 6488 KB Output is correct
9 Correct 1 ms 6492 KB Output is correct
10 Correct 1 ms 8540 KB Output is correct
11 Correct 2 ms 8536 KB Output is correct
12 Correct 2 ms 8536 KB Output is correct
13 Correct 1 ms 6492 KB Output is correct
14 Correct 2 ms 8540 KB Output is correct
15 Correct 1 ms 8540 KB Output is correct
16 Correct 2 ms 8540 KB Output is correct
17 Correct 2 ms 8540 KB Output is correct
18 Correct 2 ms 10588 KB Output is correct
19 Correct 2 ms 12636 KB Output is correct
20 Correct 150 ms 26588 KB Output is correct
21 Correct 144 ms 24600 KB Output is correct
22 Correct 137 ms 24656 KB Output is correct
23 Correct 135 ms 26960 KB Output is correct
24 Correct 134 ms 26780 KB Output is correct
25 Correct 167 ms 26708 KB Output is correct
26 Correct 155 ms 26728 KB Output is correct
27 Correct 4 ms 24924 KB Output is correct
28 Correct 2 ms 10588 KB Output is correct
29 Correct 2 ms 12636 KB Output is correct
30 Correct 2 ms 14684 KB Output is correct
31 Correct 3 ms 16732 KB Output is correct
32 Correct 3 ms 18780 KB Output is correct
33 Correct 3 ms 21004 KB Output is correct
34 Correct 3 ms 22876 KB Output is correct
35 Correct 4 ms 24924 KB Output is correct
36 Correct 4 ms 24924 KB Output is correct
37 Correct 2 ms 10588 KB Output is correct
38 Correct 2 ms 12636 KB Output is correct
39 Correct 3 ms 14684 KB Output is correct
40 Correct 3 ms 16880 KB Output is correct
41 Correct 3 ms 18780 KB Output is correct
42 Correct 3 ms 20824 KB Output is correct
43 Correct 4 ms 22876 KB Output is correct
44 Correct 4 ms 24920 KB Output is correct
45 Correct 4 ms 24920 KB Output is correct
46 Correct 4 ms 29016 KB Output is correct
47 Correct 203 ms 39044 KB Output is correct
48 Correct 204 ms 34900 KB Output is correct
49 Correct 195 ms 35032 KB Output is correct
50 Correct 182 ms 39292 KB Output is correct
51 Correct 183 ms 39048 KB Output is correct
52 Correct 209 ms 39100 KB Output is correct
53 Correct 206 ms 39248 KB Output is correct
54 Correct 8 ms 37208 KB Output is correct
55 Correct 6 ms 37212 KB Output is correct
56 Correct 7 ms 37212 KB Output is correct
57 Correct 7 ms 37212 KB Output is correct
58 Correct 7 ms 37420 KB Output is correct
59 Correct 250 ms 47628 KB Output is correct
60 Correct 135 ms 56596 KB Output is correct
61 Correct 148 ms 56524 KB Output is correct
62 Correct 161 ms 56660 KB Output is correct
63 Correct 236 ms 47184 KB Output is correct
64 Correct 281 ms 57568 KB Output is correct
65 Correct 279 ms 57664 KB Output is correct
66 Correct 263 ms 57760 KB Output is correct
67 Correct 248 ms 57592 KB Output is correct
68 Correct 277 ms 57548 KB Output is correct
69 Correct 284 ms 57940 KB Output is correct
70 Correct 49 ms 55896 KB Output is correct
71 Correct 43 ms 55900 KB Output is correct
72 Correct 53 ms 56152 KB Output is correct
73 Correct 41 ms 55896 KB Output is correct
74 Correct 55 ms 55900 KB Output is correct
75 Correct 51 ms 55956 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 10588 KB Output is correct
2 Correct 4 ms 29020 KB Output is correct
3 Correct 2 ms 12636 KB Output is correct
4 Correct 2 ms 8536 KB Output is correct
5 Runtime error 15 ms 3676 KB Execution killed with signal 11
6 Halted 0 ms 0 KB -