답안 #63588 :: oj.uz

#	제출 시각	아이디	문제	언어	결과	실행 시간	메모리
63588	2018-08-02T08:37:57 Z	zetapi	Alternating Current (BOI18_alternating)	C++14	55 / 100	3000 ms	9780 KB

alternating

#include <bits/stdc++.h>
using namespace std;

#define pb  push_back
#define mp  make_pair
#define int long long
#define itr ::iterator 

#define start  first
#define length second.first

typedef pair<int,int>  pii;

const int MAX=1e5;

bool cmp(const pair<int,pii> X,const pair<int,pii> Y)
{
	if(X.start==Y.start)
		return X.length>Y.length;
	return X.start<Y.start;
}

vector<pair<int,pii>> arr;
vector<int> vec,Enclosed[MAX];

int N,M,X,Y,par[MAX],mark[MAX];	
int len,cur,pre;

int root(int X)
{
	if(par[X]==X)
		return X;
	return par[X]=root(par[X]);
}

bool Subset(int X,int Y)
{
	int RelativeStart=(arr[X].start-arr[Y].start+N)%N;
	return RelativeStart+arr[X].length<=arr[Y].length;
}

void Alternate()
{
	for(int A=0;A<vec.size();A++)
		mark[arr[vec[A]].second.second]=A%2;
	for(int A=0;A<vec.size();A++)
	{
		for(auto B:Enclosed[vec[A]])
			mark[arr[B].second.second]=mark[arr[vec[A]].second.second]^1;
	}
	return ;
}

bool ok()
{
	int BIT[MAX];
	for(int A=0;A<2;A++)
	{
		for(int B=0;B<N;B++)
			BIT[B]=0;
		for(int B=0;B<M;B++)
		{
			if(mark[arr[B].second.second]!=A)
				continue;
			//cout<<"original index "<<B<<" start "<<arr[B].start<<"  length "<<arr[B].length<<"\n";
			if(arr[B].start+arr[B].length-1>=N)
			{
				BIT[0]++;
				BIT[arr[B].start]++;
				BIT[(arr[B].start+arr[B].length-1)%N+1]--;
			}
			else
			{
				BIT[arr[B].start]++;
				BIT[arr[B].start+arr[B].length]--;
			}	
		}
		for(int A=0;A<N;A++)
		{
			BIT[A+1]+=BIT[A];
			if(!BIT[A])
				return false;
		}
	}
	return true;
}

bool ok(int L,int R,int col)
{
	int Start=vec[L];
	int End=vec[R];
	int len=(End-Start+M-1)%M+1;
	int high=arr[Start].start;
	for(int A=0;A<len;A++)
	{
		int cur=(Start+A)%M;
		if(mark[arr[cur].second.second]!=col)
			continue;
		int now=arr[cur].start;
		if(cur<Start)
			now+=N;
		if(now>high)
			return false;
		high=max(high,now+arr[cur].length);
	}
	return true;
}

void color(int X,int C)
{
	if(C>=0)
		mark[arr[vec[X]].second.second]=C;
	for(auto A:Enclosed[vec[X]])
		mark[arr[A].second.second]=!mark[arr[vec[X]].second.second];
	return ;
}

signed main()
{
	ios_base::sync_with_stdio(false);

	cin>>N>>M;
	for(int A=0;A<M;A++)
	{
		par[A]=A;
		cin>>X>>Y;
		X--;
		Y--;
		len=(Y-X+N)%N+1;
		arr.pb(mp(X,mp(len,A)));
	}	
	sort(arr.begin(),arr.end(),cmp);
	pre=0;
	for(int A=1;A<2*M;A++)
	{
		cur=A%M;
		if(Subset(cur,pre))
			par[cur]=pre;
		else
			pre=cur;	
	}
	for(int A=0;A<M;A++)
	{
		cur=root(A);
		if(A==cur)
			vec.pb(A);
		else
			Enclosed[cur].pb(A);
	}
	if(!(vec.size()%2))
	{
		Alternate();
		if(ok())
			for(int A=0;A<M;A++)
				cout<<mark[A];
		else
			cout<<"impossible\n";
		return 0;
	}
	else
	{
		for(int A=0;A<vec.size();A++)
		{
			int a=(A+0+vec.size())%vec.size();
			int b=(A+1+vec.size())%vec.size();
			int c=(A+2+vec.size())%vec.size();
			int d=(A+3+vec.size())%vec.size();	
			color(a,1);
			color(b,0);
			color(c,0);
			color(d,1);
			if(ok(a,d,1))
			{
				for(int A=0;A<vec.size();A++)
				{
					int cur=(d+A)%vec.size();
					if(cur==a or cur==b or cur==c or cur==d)
						continue;
					mark[arr[vec[cur]].second.second]=!mark[arr[vec[(cur-1+vec.size())%vec.size()]].second.second];
				}
				for(int A=0;A<vec.size();A++)
					color(A,-1);
				if(ok())
				{
					for(int A=0;A<M;A++)
						cout<<mark[A];
					return 0;
				}
			///	else
			//		cout<<"impossible";
			//	return 0;
			}
		}
	}
	cout<<"impossible";
	return 0;
}

Compilation message

alternating.cpp: In function 'void Alternate()':
alternating.cpp:44:15: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
  for(int A=0;A<vec.size();A++)
              ~^~~~~~~~~~~
alternating.cpp:46:15: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
  for(int A=0;A<vec.size();A++)
              ~^~~~~~~~~~~
alternating.cpp: In function 'int main()':
alternating.cpp:162:16: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
   for(int A=0;A<vec.size();A++)
               ~^~~~~~~~~~~
alternating.cpp:174:18: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
     for(int A=0;A<vec.size();A++)
                 ~^~~~~~~~~~~
alternating.cpp:181:18: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
     for(int A=0;A<vec.size();A++)
                 ~^~~~~~~~~~~

Subtask #1
13.0 / 13.0

#	결과	실행 시간	메모리	Grader output
1	Correct	5 ms	2680 KB	Output is correct
2	Correct	4 ms	2680 KB	Output is correct
3	Correct	5 ms	2844 KB	Output is correct
4	Correct	5 ms	2844 KB	Output is correct
5	Correct	5 ms	2920 KB	Output is correct
6	Correct	5 ms	3012 KB	Output is correct
7	Correct	5 ms	3012 KB	Output is correct
8	Correct	5 ms	3012 KB	Output is correct
9	Correct	6 ms	3012 KB	Output is correct
10	Correct	5 ms	3012 KB	Output is correct
11	Correct	5 ms	3012 KB	Output is correct
12	Correct	8 ms	3012 KB	Output is correct
13	Correct	4 ms	3012 KB	Output is correct
14	Correct	5 ms	3012 KB	Output is correct
15	Correct	5 ms	3012 KB	Output is correct
16	Correct	5 ms	3012 KB	Output is correct
17	Correct	5 ms	3012 KB	Output is correct
18	Correct	5 ms	3012 KB	Output is correct
19	Correct	5 ms	3012 KB	Output is correct
20	Correct	6 ms	3012 KB	Output is correct
21	Correct	6 ms	3012 KB	Output is correct
22	Correct	5 ms	3012 KB	Output is correct
23	Correct	5 ms	3012 KB	Output is correct
24	Correct	7 ms	3012 KB	Output is correct
25	Correct	5 ms	3012 KB	Output is correct
26	Correct	6 ms	3012 KB	Output is correct
27	Correct	5 ms	3012 KB	Output is correct
28	Correct	6 ms	3012 KB	Output is correct
29	Correct	6 ms	3012 KB	Output is correct
30	Correct	6 ms	3012 KB	Output is correct
31	Correct	5 ms	3012 KB	Output is correct
32	Correct	6 ms	3012 KB	Output is correct
33	Correct	6 ms	3012 KB	Output is correct
34	Correct	5 ms	3012 KB	Output is correct
35	Correct	5 ms	3012 KB	Output is correct
36	Correct	6 ms	3012 KB	Output is correct
37	Correct	6 ms	3012 KB	Output is correct
38	Correct	5 ms	3012 KB	Output is correct
39	Correct	5 ms	3012 KB	Output is correct
40	Correct	5 ms	3012 KB	Output is correct

Subtask #2
20.0 / 20.0

#	결과	실행 시간	메모리	Grader output
1	Correct	5 ms	2680 KB	Output is correct
2	Correct	4 ms	2680 KB	Output is correct
3	Correct	5 ms	2844 KB	Output is correct
4	Correct	5 ms	2844 KB	Output is correct
5	Correct	5 ms	2920 KB	Output is correct
6	Correct	5 ms	3012 KB	Output is correct
7	Correct	5 ms	3012 KB	Output is correct
8	Correct	5 ms	3012 KB	Output is correct
9	Correct	6 ms	3012 KB	Output is correct
10	Correct	5 ms	3012 KB	Output is correct
11	Correct	5 ms	3012 KB	Output is correct
12	Correct	8 ms	3012 KB	Output is correct
13	Correct	4 ms	3012 KB	Output is correct
14	Correct	5 ms	3012 KB	Output is correct
15	Correct	5 ms	3012 KB	Output is correct
16	Correct	5 ms	3012 KB	Output is correct
17	Correct	5 ms	3012 KB	Output is correct
18	Correct	5 ms	3012 KB	Output is correct
19	Correct	5 ms	3012 KB	Output is correct
20	Correct	6 ms	3012 KB	Output is correct
21	Correct	6 ms	3012 KB	Output is correct
22	Correct	5 ms	3012 KB	Output is correct
23	Correct	5 ms	3012 KB	Output is correct
24	Correct	7 ms	3012 KB	Output is correct
25	Correct	5 ms	3012 KB	Output is correct
26	Correct	6 ms	3012 KB	Output is correct
27	Correct	5 ms	3012 KB	Output is correct
28	Correct	6 ms	3012 KB	Output is correct
29	Correct	6 ms	3012 KB	Output is correct
30	Correct	6 ms	3012 KB	Output is correct
31	Correct	5 ms	3012 KB	Output is correct
32	Correct	6 ms	3012 KB	Output is correct
33	Correct	6 ms	3012 KB	Output is correct
34	Correct	5 ms	3012 KB	Output is correct
35	Correct	5 ms	3012 KB	Output is correct
36	Correct	6 ms	3012 KB	Output is correct
37	Correct	6 ms	3012 KB	Output is correct
38	Correct	5 ms	3012 KB	Output is correct
39	Correct	5 ms	3012 KB	Output is correct
40	Correct	5 ms	3012 KB	Output is correct
41	Correct	5 ms	3012 KB	Output is correct
42	Correct	6 ms	3012 KB	Output is correct
43	Correct	7 ms	3012 KB	Output is correct
44	Correct	5 ms	3012 KB	Output is correct
45	Correct	6 ms	3012 KB	Output is correct
46	Correct	5 ms	3012 KB	Output is correct
47	Correct	5 ms	3012 KB	Output is correct
48	Correct	4 ms	3012 KB	Output is correct
49	Correct	3 ms	3012 KB	Output is correct
50	Correct	4 ms	3012 KB	Output is correct
51	Correct	5 ms	3012 KB	Output is correct
52	Correct	4 ms	3040 KB	Output is correct
53	Correct	5 ms	3172 KB	Output is correct
54	Correct	6 ms	3172 KB	Output is correct
55	Correct	5 ms	3172 KB	Output is correct
56	Correct	5 ms	3172 KB	Output is correct
57	Correct	4 ms	3172 KB	Output is correct
58	Correct	7 ms	3172 KB	Output is correct
59	Correct	5 ms	3172 KB	Output is correct
60	Correct	5 ms	3172 KB	Output is correct
61	Correct	4 ms	3172 KB	Output is correct
62	Correct	5 ms	3172 KB	Output is correct
63	Correct	5 ms	3172 KB	Output is correct
64	Correct	6 ms	3172 KB	Output is correct
65	Correct	4 ms	3172 KB	Output is correct
66	Correct	5 ms	3172 KB	Output is correct
67	Correct	6 ms	3172 KB	Output is correct
68	Correct	4 ms	3172 KB	Output is correct
69	Correct	4 ms	3172 KB	Output is correct

Subtask #3
22.0 / 22.0

#	결과	실행 시간	메모리	Grader output
1	Correct	5 ms	2680 KB	Output is correct
2	Correct	4 ms	2680 KB	Output is correct
3	Correct	5 ms	2844 KB	Output is correct
4	Correct	5 ms	2844 KB	Output is correct
5	Correct	5 ms	2920 KB	Output is correct
6	Correct	5 ms	3012 KB	Output is correct
7	Correct	5 ms	3012 KB	Output is correct
8	Correct	5 ms	3012 KB	Output is correct
9	Correct	6 ms	3012 KB	Output is correct
10	Correct	5 ms	3012 KB	Output is correct
11	Correct	5 ms	3012 KB	Output is correct
12	Correct	8 ms	3012 KB	Output is correct
13	Correct	4 ms	3012 KB	Output is correct
14	Correct	5 ms	3012 KB	Output is correct
15	Correct	5 ms	3012 KB	Output is correct
16	Correct	5 ms	3012 KB	Output is correct
17	Correct	5 ms	3012 KB	Output is correct
18	Correct	5 ms	3012 KB	Output is correct
19	Correct	5 ms	3012 KB	Output is correct
20	Correct	6 ms	3012 KB	Output is correct
21	Correct	6 ms	3012 KB	Output is correct
22	Correct	5 ms	3012 KB	Output is correct
23	Correct	5 ms	3012 KB	Output is correct
24	Correct	7 ms	3012 KB	Output is correct
25	Correct	5 ms	3012 KB	Output is correct
26	Correct	6 ms	3012 KB	Output is correct
27	Correct	5 ms	3012 KB	Output is correct
28	Correct	6 ms	3012 KB	Output is correct
29	Correct	6 ms	3012 KB	Output is correct
30	Correct	6 ms	3012 KB	Output is correct
31	Correct	5 ms	3012 KB	Output is correct
32	Correct	6 ms	3012 KB	Output is correct
33	Correct	6 ms	3012 KB	Output is correct
34	Correct	5 ms	3012 KB	Output is correct
35	Correct	5 ms	3012 KB	Output is correct
36	Correct	6 ms	3012 KB	Output is correct
37	Correct	6 ms	3012 KB	Output is correct
38	Correct	5 ms	3012 KB	Output is correct
39	Correct	5 ms	3012 KB	Output is correct
40	Correct	5 ms	3012 KB	Output is correct
41	Correct	5 ms	3012 KB	Output is correct
42	Correct	6 ms	3012 KB	Output is correct
43	Correct	7 ms	3012 KB	Output is correct
44	Correct	5 ms	3012 KB	Output is correct
45	Correct	6 ms	3012 KB	Output is correct
46	Correct	5 ms	3012 KB	Output is correct
47	Correct	5 ms	3012 KB	Output is correct
48	Correct	4 ms	3012 KB	Output is correct
49	Correct	3 ms	3012 KB	Output is correct
50	Correct	4 ms	3012 KB	Output is correct
51	Correct	5 ms	3012 KB	Output is correct
52	Correct	4 ms	3040 KB	Output is correct
53	Correct	5 ms	3172 KB	Output is correct
54	Correct	6 ms	3172 KB	Output is correct
55	Correct	5 ms	3172 KB	Output is correct
56	Correct	5 ms	3172 KB	Output is correct
57	Correct	4 ms	3172 KB	Output is correct
58	Correct	7 ms	3172 KB	Output is correct
59	Correct	5 ms	3172 KB	Output is correct
60	Correct	5 ms	3172 KB	Output is correct
61	Correct	4 ms	3172 KB	Output is correct
62	Correct	5 ms	3172 KB	Output is correct
63	Correct	5 ms	3172 KB	Output is correct
64	Correct	6 ms	3172 KB	Output is correct
65	Correct	4 ms	3172 KB	Output is correct
66	Correct	5 ms	3172 KB	Output is correct
67	Correct	6 ms	3172 KB	Output is correct
68	Correct	4 ms	3172 KB	Output is correct
69	Correct	4 ms	3172 KB	Output is correct
70	Correct	5 ms	3172 KB	Output is correct
71	Correct	37 ms	3172 KB	Output is correct
72	Correct	4 ms	3172 KB	Output is correct
73	Correct	4 ms	3172 KB	Output is correct
74	Correct	5 ms	3172 KB	Output is correct
75	Correct	5 ms	3172 KB	Output is correct
76	Correct	4 ms	3172 KB	Output is correct
77	Correct	5 ms	3172 KB	Output is correct
78	Correct	5 ms	3172 KB	Output is correct
79	Correct	5 ms	3172 KB	Output is correct
80	Correct	5 ms	3176 KB	Output is correct
81	Correct	5 ms	3176 KB	Output is correct
82	Correct	5 ms	3176 KB	Output is correct
83	Correct	5 ms	3176 KB	Output is correct
84	Correct	7 ms	3176 KB	Output is correct
85	Correct	6 ms	3176 KB	Output is correct
86	Correct	5 ms	3176 KB	Output is correct
87	Correct	5 ms	3176 KB	Output is correct
88	Correct	5 ms	3176 KB	Output is correct
89	Correct	20 ms	3176 KB	Output is correct
90	Correct	6 ms	3176 KB	Output is correct
91	Correct	6 ms	3176 KB	Output is correct
92	Correct	5 ms	3176 KB	Output is correct
93	Correct	5 ms	3176 KB	Output is correct
94	Correct	4 ms	3176 KB	Output is correct
95	Correct	5 ms	3176 KB	Output is correct
96	Correct	7 ms	3176 KB	Output is correct
97	Correct	7 ms	3176 KB	Output is correct
98	Correct	5 ms	3176 KB	Output is correct

Subtask #4
0 / 19.0

#	결과	실행 시간	메모리	Grader output
1	Correct	64 ms	9780 KB	Output is correct
2	Correct	6 ms	9780 KB	Output is correct
3	Correct	46 ms	9780 KB	Output is correct
4	Correct	38 ms	9780 KB	Output is correct
5	Correct	92 ms	9780 KB	Output is correct
6	Execution timed out	3015 ms	9780 KB	Time limit exceeded
7	Halted	0 ms	0 KB	-

Subtask #5
0 / 26.0

#	결과	실행 시간	메모리	Grader output
1	Correct	5 ms	2680 KB	Output is correct
2	Correct	4 ms	2680 KB	Output is correct
3	Correct	5 ms	2844 KB	Output is correct
4	Correct	5 ms	2844 KB	Output is correct
5	Correct	5 ms	2920 KB	Output is correct
6	Correct	5 ms	3012 KB	Output is correct
7	Correct	5 ms	3012 KB	Output is correct
8	Correct	5 ms	3012 KB	Output is correct
9	Correct	6 ms	3012 KB	Output is correct
10	Correct	5 ms	3012 KB	Output is correct
11	Correct	5 ms	3012 KB	Output is correct
12	Correct	8 ms	3012 KB	Output is correct
13	Correct	4 ms	3012 KB	Output is correct
14	Correct	5 ms	3012 KB	Output is correct
15	Correct	5 ms	3012 KB	Output is correct
16	Correct	5 ms	3012 KB	Output is correct
17	Correct	5 ms	3012 KB	Output is correct
18	Correct	5 ms	3012 KB	Output is correct
19	Correct	5 ms	3012 KB	Output is correct
20	Correct	6 ms	3012 KB	Output is correct
21	Correct	6 ms	3012 KB	Output is correct
22	Correct	5 ms	3012 KB	Output is correct
23	Correct	5 ms	3012 KB	Output is correct
24	Correct	7 ms	3012 KB	Output is correct
25	Correct	5 ms	3012 KB	Output is correct
26	Correct	6 ms	3012 KB	Output is correct
27	Correct	5 ms	3012 KB	Output is correct
28	Correct	6 ms	3012 KB	Output is correct
29	Correct	6 ms	3012 KB	Output is correct
30	Correct	6 ms	3012 KB	Output is correct
31	Correct	5 ms	3012 KB	Output is correct
32	Correct	6 ms	3012 KB	Output is correct
33	Correct	6 ms	3012 KB	Output is correct
34	Correct	5 ms	3012 KB	Output is correct
35	Correct	5 ms	3012 KB	Output is correct
36	Correct	6 ms	3012 KB	Output is correct
37	Correct	6 ms	3012 KB	Output is correct
38	Correct	5 ms	3012 KB	Output is correct
39	Correct	5 ms	3012 KB	Output is correct
40	Correct	5 ms	3012 KB	Output is correct
41	Correct	5 ms	3012 KB	Output is correct
42	Correct	6 ms	3012 KB	Output is correct
43	Correct	7 ms	3012 KB	Output is correct
44	Correct	5 ms	3012 KB	Output is correct
45	Correct	6 ms	3012 KB	Output is correct
46	Correct	5 ms	3012 KB	Output is correct
47	Correct	5 ms	3012 KB	Output is correct
48	Correct	4 ms	3012 KB	Output is correct
49	Correct	3 ms	3012 KB	Output is correct
50	Correct	4 ms	3012 KB	Output is correct
51	Correct	5 ms	3012 KB	Output is correct
52	Correct	4 ms	3040 KB	Output is correct
53	Correct	5 ms	3172 KB	Output is correct
54	Correct	6 ms	3172 KB	Output is correct
55	Correct	5 ms	3172 KB	Output is correct
56	Correct	5 ms	3172 KB	Output is correct
57	Correct	4 ms	3172 KB	Output is correct
58	Correct	7 ms	3172 KB	Output is correct
59	Correct	5 ms	3172 KB	Output is correct
60	Correct	5 ms	3172 KB	Output is correct
61	Correct	4 ms	3172 KB	Output is correct
62	Correct	5 ms	3172 KB	Output is correct
63	Correct	5 ms	3172 KB	Output is correct
64	Correct	6 ms	3172 KB	Output is correct
65	Correct	4 ms	3172 KB	Output is correct
66	Correct	5 ms	3172 KB	Output is correct
67	Correct	6 ms	3172 KB	Output is correct
68	Correct	4 ms	3172 KB	Output is correct
69	Correct	4 ms	3172 KB	Output is correct
70	Correct	5 ms	3172 KB	Output is correct
71	Correct	37 ms	3172 KB	Output is correct
72	Correct	4 ms	3172 KB	Output is correct
73	Correct	4 ms	3172 KB	Output is correct
74	Correct	5 ms	3172 KB	Output is correct
75	Correct	5 ms	3172 KB	Output is correct
76	Correct	4 ms	3172 KB	Output is correct
77	Correct	5 ms	3172 KB	Output is correct
78	Correct	5 ms	3172 KB	Output is correct
79	Correct	5 ms	3172 KB	Output is correct
80	Correct	5 ms	3176 KB	Output is correct
81	Correct	5 ms	3176 KB	Output is correct
82	Correct	5 ms	3176 KB	Output is correct
83	Correct	5 ms	3176 KB	Output is correct
84	Correct	7 ms	3176 KB	Output is correct
85	Correct	6 ms	3176 KB	Output is correct
86	Correct	5 ms	3176 KB	Output is correct
87	Correct	5 ms	3176 KB	Output is correct
88	Correct	5 ms	3176 KB	Output is correct
89	Correct	20 ms	3176 KB	Output is correct
90	Correct	6 ms	3176 KB	Output is correct
91	Correct	6 ms	3176 KB	Output is correct
92	Correct	5 ms	3176 KB	Output is correct
93	Correct	5 ms	3176 KB	Output is correct
94	Correct	4 ms	3176 KB	Output is correct
95	Correct	5 ms	3176 KB	Output is correct
96	Correct	7 ms	3176 KB	Output is correct
97	Correct	7 ms	3176 KB	Output is correct
98	Correct	5 ms	3176 KB	Output is correct
99	Correct	64 ms	9780 KB	Output is correct
100	Correct	6 ms	9780 KB	Output is correct
101	Correct	46 ms	9780 KB	Output is correct
102	Correct	38 ms	9780 KB	Output is correct
103	Correct	92 ms	9780 KB	Output is correct
104	Execution timed out	3015 ms	9780 KB	Time limit exceeded
105	Halted	0 ms	0 KB	-

답안 #63588

Compilation message

Subtask #1 13.0 / 13.0

Subtask #2 20.0 / 20.0

Subtask #3 22.0 / 22.0

Subtask #4 0 / 19.0

Subtask #5 0 / 26.0

Subtask #1
13.0 / 13.0

Subtask #2
20.0 / 20.0

Subtask #3
22.0 / 22.0

Subtask #4
0 / 19.0

Subtask #5
0 / 26.0