oj.uz

Submission #130078

# Submission time Handle Problem Language Result Execution time Memory
130078 2019-07-13T20:47:25 Z TadijaSebez Olympiads (BOI19_olympiads) C++11
100 / 100
 23 ms 1908 KB 
#include <bits/stdc++.h>
using namespace std;
#define ll long long
#define mp make_pair
const int N=505;
const int K=6;
int a[K][N],id[K][N],pos[K][N],n,k,c;
int Val(vector<int> state)
{
	int ans=0;
	for(int i=0;i<k;i++) ans+=a[i][id[i][state[i]]];
	return ans;
}
void Answer(vector<int> state)
{
	printf("%i\n",Val(state));
	exit(0);
}
int Get(vector<int> state)
{
	int ans=0;
	for(int i=1;i<=n;i++)
	{
		bool ok=1;
		for(int j=0;j<k;j++) if(pos[j][i]<=state[j]) ok=0;
		if(ok) ans++;
	}
	return ans;
}
void Check(vector<int> state)
{
	vector<int> all;
	for(int i=0;i<k;i++) all.push_back(id[i][state[i]]);
	sort(all.begin(),all.end());
	all.resize(unique(all.begin(),all.end())-all.begin());
	int dif=k-all.size();
	ll del;
	if(dif==0) del=1;
	else
	{
		ll tmp=Get(state);
		del=1;
		for(int i=0;i<dif;i++)
		{
			del*=tmp-i;
			if(del>1000000000) Answer(state);
		}
		for(int i=1;i<=dif;i++) del/=i;
	}
	//printf("->");for(int i:all) printf("%i ",i);printf("\n");
	//for(int i=0;i<k;i++) printf("%i ",id[i][state[i]]);printf("\n");
	//printf("%i %lld\n",Val(state),del);
	if(del>=c) Answer(state);
	c-=del;
}
bool Ok(vector<int> state)
{
	vector<int> all;
	for(int i=0;i<k;i++) all.push_back(id[i][state[i]]);
	sort(all.begin(),all.end());
	all.resize(unique(all.begin(),all.end())-all.begin());
	int dif=k-all.size();
	if(dif==0) return 1;
	return dif<=Get(state);
}
bool Bad(vector<int> state, int x)
{
	for(int i=0;i<k;i++) if(pos[i][x]<state[i]) return 1;
	//for(int i=0;i<k;i++) if(a[i][x]>a[i][id[i][state[i]]]) return 1;
	return 0;
}
vector<int> Next(vector<int> state, int t)
{
	for(int i=0;i<k;i++) if(i!=t && id[i][state[i]]==id[t][state[t]]) state[i]++;
	state[t]++;
	for(int i=0;i<k;i++)
	{
		while(state[i]<=n && Bad(state,id[i][state[i]])) state[i]++;
		if(state[i]>n) return vector<int>(0);
	}
	return state;
}
set<string> was;
string ToString(vector<int> state)
{
	string ans;
	for(int i=0;i<k;i++)
	{
		ans+=(char)(state[i]/250);
		ans+=(char)(state[i]%250);
	}
	return ans;
}
int main()
{
	scanf("%i %i %i",&n,&k,&c);
	for(int i=1;i<=n;i++) for(int j=0;j<k;j++) scanf("%i",&a[j][i]),id[j][i]=i;
	for(int j=0;j<k;j++) sort(id[j]+1,id[j]+1+n,[&](int x, int y){ return mp(a[j][x],x)>mp(a[j][y],y);});
	for(int j=0;j<k;j++) for(int i=1;i<=n;i++) pos[j][id[j][i]]=i;
	priority_queue<pair<int,vector<int>>> pq;
	vector<int> st;
	for(int j=0;j<k;j++) st.push_back(1);
	auto Push=[&](vector<int> state)
	{
		if(Ok(state))
		{
			string s=ToString(state);
			if(!was.count(s))
			{
				pq.push({Val(state),state});
				was.insert(s);
			}
		}
	};
	Push(st);
	while(pq.size())
	{
		vector<int> state=pq.top().second;
		pq.pop();
		Check(state);
		for(int i=0;i<k;i++)
		{
			vector<int> nxt=Next(state,i);
			if(nxt.size()) Push(nxt);
		}
	}
	printf(":D\n");
	return 0;
}

Compilation message

olympiads.cpp: In function 'int main()':
olympiads.cpp:96:7: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
  scanf("%i %i %i",&n,&k,&c);
  ~~~~~^~~~~~~~~~~~~~~~~~~~~
olympiads.cpp:97:65: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
  for(int i=1;i<=n;i++) for(int j=0;j<k;j++) scanf("%i",&a[j][i]),id[j][i]=i;
                                             ~~~~~~~~~~~~~~~~~~~~^~~~~~~~~~~

Subtask #1
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 376 KB Output is correct
2 Correct 5 ms 504 KB Output is correct
3 Correct 4 ms 376 KB Output is correct
4 Correct 2 ms 380 KB Output is correct

Subtask #2
31.0 / 31.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 504 KB Output is correct
2 Correct 3 ms 376 KB Output is correct
3 Correct 13 ms 1020 KB Output is correct
4 Correct 15 ms 1016 KB Output is correct

Subtask #3
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 504 KB Output is correct
2 Correct 2 ms 376 KB Output is correct
3 Correct 20 ms 1656 KB Output is correct
4 Correct 21 ms 1908 KB Output is correct
5 Correct 6 ms 632 KB Output is correct
6 Correct 7 ms 632 KB Output is correct

Subtask #4
32.0 / 32.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 376 KB Output is correct
2 Correct 5 ms 504 KB Output is correct
3 Correct 4 ms 376 KB Output is correct
4 Correct 2 ms 380 KB Output is correct
5 Correct 5 ms 504 KB Output is correct
6 Correct 3 ms 376 KB Output is correct
7 Correct 13 ms 1020 KB Output is correct
8 Correct 15 ms 1016 KB Output is correct
9 Correct 4 ms 504 KB Output is correct
10 Correct 2 ms 376 KB Output is correct
11 Correct 20 ms 1656 KB Output is correct
12 Correct 21 ms 1908 KB Output is correct
13 Correct 6 ms 632 KB Output is correct
14 Correct 7 ms 632 KB Output is correct
15 Correct 20 ms 1016 KB Output is correct
16 Correct 8 ms 888 KB Output is correct
17 Correct 23 ms 1908 KB Output is correct
18 Correct 22 ms 1788 KB Output is correct
19 Correct 2 ms 376 KB Output is correct