oj.uz

Submission #201154

# Submission time Handle Problem Language Result Execution time Memory
201154 2020-02-09T13:09:48 Z zscoder Olympic Bus (JOI20_ho_t4) C++17
37 / 100
 1000 ms 13804 KB 
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
 
using namespace std;
using namespace __gnu_pbds;
 
#define fi first
#define se second
#define mp make_pair
#define pb push_back
#define fbo find_by_order
#define ook order_of_key
 
typedef long long ll;
typedef pair<int,int> ii;
typedef vector<int> vi;
typedef long double ld; 
typedef tree<int, null_type, less<int>, rb_tree_tag, tree_order_statistics_node_update> pbds;
set<int> S;

struct Graph
{
	struct edge
	{
		int v; ll weight; int id;
	};
	vector<vector<edge> > adj;
	int n;
	
	Graph(int _n)
	{
		adj.resize(_n);
		n = _n;
	}
	
	void addedge(int u, int v, ll c, int id)
	{
		edge tmp;
		tmp.v = v; tmp.weight = c; tmp.id=id;
		adj[u].pb(tmp);
	}
	
	void reset()
	{
		adj.clear();
	}
	
	vector<ll> dist;
	vi par;
	
	void bfs(int s)
	{
		ll INFI = ll(1e18);
		dist.assign(n, INFI);
		par.assign(n, -1);
		dist[s] = 0; par[s] = -1;
		queue<int> q; q.push(s);
		while(!q.empty())
		{
			int u = q.front(); q.pop();
			for(int i = 0; i < adj[u].size(); i++)
			{
				int v = adj[u][i].v;
				if(dist[v] >= INFI)
				{
					dist[v] = dist[u] + 1;
					par[v] = u;
					q.push(v);
				}
			}
		}
	}
	
	void bfs01(int s)
	{
		ll INFI = ll(1e18);
		dist.assign(n, INFI);
		par.assign(n, -1);
		dist[s] = 0; par[s] = -1;
		deque<int> q; q.pb(s);
		while(!q.empty())
		{
			int u = q.front(); q.pop_front();
			for(int i = 0; i < adj[u].size(); i++)
			{
				int v = adj[u][i].v; ll w = adj[u][i].weight;
				if(dist[v] >= INFI)
				{
					if(w == 1)
					{
						dist[v] = dist[u] + 1;
						par[v] = u;
						q.push_back(v);
					}
					else
					{
						dist[v] = dist[u];
						par[v] = u;
						q.push_front(v);
					}
				}
			}
		}
	}
	
	void dijkstra(int s, int mode=1)
	{
		ll INFI = ll(1e18);
		dist.clear();
		dist.assign(n, INFI);
		par.assign(n, -1);
		dist[s] = 0; par[s] = -1;
		priority_queue<ii, vector<ii>, greater<ii> > pq;
		pq.push(ii(0, s));
		while(!pq.empty())
		{
			int u = pq.top().se; ll d = pq.top().fi; pq.pop();
			for(int i = 0; i < adj[u].size(); i++)
			{
				int v = adj[u][i].v; ll w = adj[u][i].weight;
				if(d + w < dist[v])
				{
					dist[v] = d + w;
					par[v] = u;
					//cerr<<"ADD "<<adj[u][i].id<<'\n';
					//if(mode) S.insert(adj[u][i].id);
					pq.push(ii(dist[v], v));
				}
			}
		}
	}
	
	vector<vector<ll> > d;
	
	void Floyd()
	{
		ll INFIN = ll(1e18);
		d.resize(n);
		for(int i = 0; i < n; i++)
		{
			d[i].assign(n, INFIN);
		}
		for(int i = 0; i < n; i++)
		{
			for(int j = 0; j < adj[i].size(); j++)
			{
				d[i][adj[i][j].v] = min(d[i][adj[i][j].v],adj[i][j].weight);
			}
			d[i][i] = 0;
		}
		for(int k = 0; k < n; k++)
		{
			for(int i = 0; i < n; i++)
			{
				for(int j = 0; j < n; j++)
				{
					d[i][j] = min(d[i][j], d[i][k] + d[k][j]);
				}
			}
		}
	}
};

ll D[55555];
vector<pair<ii,ii> > edges;
int n,m; 
ll res=ll(1e18);

void test(int id)
{
	Graph G(n);
	for(int i=0;i<m;i++)
	{
		int u=edges[i].fi.fi; int v=edges[i].fi.se;
		if(i==id) swap(u,v);
		G.addedge(u,v,edges[i].se.fi,edges[i].se.se);
	}
	G.dijkstra(0,0);
	ll ans = G.dist[n-1];
	G.dijkstra(n-1,0);
	ans+=G.dist[0];
	ans+=D[id];
	res=min(res,ans);
}

int main()
{
	ios_base::sync_with_stdio(0); cin.tie(0);
	//freopen("olympic-bus.in","r",stdin);
	cin>>n>>m;
	Graph ori(n),oriunw(n),oriunw2(n);
	vector<ii> VV;
	int all0=1;
	map<ii,ii> ma;
	for(int i=0;i<m;i++)
	{
		int u,v,c,d;
		cin>>u>>v>>c>>d;
		if(c!=0) all0=0;
		VV.pb({d,i});
		u--; v--;
		if(ma.find({u,v})==ma.end())
		{
			ma[{u,v}]={c+d,i};
		}
		else
		{
			ma[{u,v}]=min(ma[{u,v}],{c+d,i});
		}
		D[i]=d;
		edges.pb({{u,v},{c,d}});
		ori.addedge(u,v,c,i);
		oriunw.addedge(u,v,c,i);
		oriunw.addedge(v,u,c+d,i);
		oriunw2.addedge(v,u,c,i);
		oriunw2.addedge(u,v,c+d,i);
	}
	int sub2=1;
	if(m%2==0)
	{
		for(int i=0;i<m;i+=2)
		{
			int a1 = edges[i].se.se;
			int a2 = edges[i+1].se.se;
			edges[i].se.se=edges[i+1].se.se=0;
			if(edges[i]!=edges[i+1]) sub2=0;
			edges[i].se.se=a1; edges[i+1].se.se=a2;
		}
	}
	else sub2=0;
	ori.Floyd();
	ll as = ori.d[0][n-1]+ori.d[n-1][0];
	oriunw.dijkstra(0);
	for(int i=0;i<n;i++)
	{
		if(i==0) continue;
		if(oriunw.par[i]!=-1)
		{
			//cerr<<oriunw.par[i]<<' '<<i<<' '<<ma[{oriunw.par[i],i}].se<<endl;
			S.insert(ma[{oriunw.par[i],i}].se);
		}
	}
	
	oriunw.dijkstra(n-1);
	for(int i=0;i<n;i++)
	{
		if(i==n-1) continue;
		if(oriunw.par[i]!=-1)
		{
			//cerr<<oriunw.par[i]<<' '<<i<<' '<<ma[{oriunw.par[i],i}].se<<endl;
			S.insert(ma[{oriunw.par[i],i}].se);
		}
	}
	/*
	oriunw2.dijkstra(n-1);
	for(int i=0;i<n;i++)
	{
		if(i==n-1) continue;
		if(oriunw2.par[i]!=-1)
		{
			//cerr<<oriunw2.par[i]<<' '<<i<<' '<<ma[{oriunw2.par[i],i}].se<<endl;
			S.insert(ma[{oriunw2.par[i],i}].se);
		}
	}
	*/
	oriunw2.dijkstra(0);
	for(int i=0;i<n;i++)
	{
		if(i==0) continue;
		if(oriunw2.par[i]!=-1)
		{
			//cerr<<oriunw.par[i]<<' '<<i<<' '<<ma[{oriunw.par[i],i}].se<<endl;
			S.insert(ma[{oriunw2.par[i],i}].se);
		}
	}
	res=min(res,as);
	//test(ma[{141,15}].se);
	//assert(sub2);
	if(sub2)
	{
		for(auto E:edges)
		{
			int u=E.fi.fi; int v=E.fi.se; 
			ll c=E.se.fi; ll d=E.se.se;
			//should i add the edge v->u
			res=min(res,d+ori.d[0][n-1]+ori.d[n-1][v]+c+ori.d[u][0]);
			res=min(res,d+ori.d[0][v]+c+ori.d[u][n-1]+ori.d[n-1][0]);
			res=min(res,d+ori.d[0][v]+c+ori.d[u][n-1]+ori.d[n-1][v]+c+ori.d[u][0]);
			res=min(res,ori.d[0][n-1]+ori.d[n-1][0]);
		}
	}
	else
	{
		
		set<int> nw;
		for(int s:S)
		{
			int u=edges[s].fi.fi; int v=edges[s].fi.se;
			nw.insert(ma[{u,v}].se);
		}
		//cerr<<nw.size()<<endl;
		for(int s:nw) 
		{
			test(s);
		}
	}
	if(res>=ll(1e18)) res=-1;
	cout<<res<<'\n';
}

Compilation message

ho_t4.cpp: In member function 'void Graph::bfs(int)':
ho_t4.cpp:62:21: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
    for(int i = 0; i < adj[u].size(); i++)
                   ~~^~~~~~~~~~~~~~~
ho_t4.cpp: In member function 'void Graph::bfs01(int)':
ho_t4.cpp:85:21: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
    for(int i = 0; i < adj[u].size(); i++)
                   ~~^~~~~~~~~~~~~~~
ho_t4.cpp: In member function 'void Graph::dijkstra(int, int)':
ho_t4.cpp:119:21: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
    for(int i = 0; i < adj[u].size(); i++)
                   ~~^~~~~~~~~~~~~~~
ho_t4.cpp: In member function 'void Graph::Floyd()':
ho_t4.cpp:146:21: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
    for(int j = 0; j < adj[i].size(); j++)
                   ~~^~~~~~~~~~~~~~~
ho_t4.cpp: In function 'int main()':
ho_t4.cpp:194:6: warning: variable 'all0' set but not used [-Wunused-but-set-variable]
  int all0=1;
      ^~~~

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 40 ms 1144 KB Output is correct
2 Correct 17 ms 760 KB Output is correct
3 Correct 51 ms 996 KB Output is correct
4 Correct 55 ms 1020 KB Output is correct
5 Correct 11 ms 632 KB Output is correct
6 Correct 17 ms 760 KB Output is correct
7 Correct 6 ms 376 KB Output is correct
8 Correct 5 ms 376 KB Output is correct
9 Correct 6 ms 504 KB Output is correct
10 Correct 46 ms 1016 KB Output is correct
11 Correct 50 ms 1016 KB Output is correct
12 Correct 57 ms 1016 KB Output is correct
13 Correct 35 ms 1016 KB Output is correct
14 Correct 48 ms 1016 KB Output is correct
15 Correct 45 ms 1016 KB Output is correct
16 Correct 42 ms 1016 KB Output is correct

Subtask #2
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 75 ms 11112 KB Output is correct
2 Correct 73 ms 10808 KB Output is correct
3 Correct 73 ms 10596 KB Output is correct
4 Correct 16 ms 1144 KB Output is correct
5 Correct 17 ms 1016 KB Output is correct
6 Correct 14 ms 888 KB Output is correct
7 Correct 14 ms 760 KB Output is correct
8 Correct 5 ms 376 KB Output is correct
9 Correct 73 ms 11108 KB Output is correct
10 Correct 74 ms 11364 KB Output is correct
11 Correct 72 ms 10976 KB Output is correct
12 Correct 70 ms 10852 KB Output is correct
13 Correct 75 ms 10980 KB Output is correct
14 Correct 72 ms 12352 KB Output is correct

Subtask #3
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 40 ms 1016 KB Output is correct
2 Correct 18 ms 760 KB Output is correct
3 Correct 635 ms 11276 KB Output is correct
4 Correct 18 ms 760 KB Output is correct
5 Correct 747 ms 13152 KB Output is correct
6 Correct 5 ms 376 KB Output is correct
7 Correct 5 ms 376 KB Output is correct
8 Correct 640 ms 13432 KB Output is correct
9 Correct 727 ms 13344 KB Output is correct
10 Correct 751 ms 12828 KB Output is correct
11 Correct 790 ms 12724 KB Output is correct
12 Correct 779 ms 13804 KB Output is correct
13 Correct 5 ms 376 KB Output is correct
14 Correct 5 ms 376 KB Output is correct
15 Correct 5 ms 376 KB Output is correct
16 Correct 5 ms 376 KB Output is correct
17 Correct 6 ms 376 KB Output is correct
18 Correct 5 ms 376 KB Output is correct
19 Correct 795 ms 13604 KB Output is correct
20 Correct 661 ms 13028 KB Output is correct
21 Correct 770 ms 12988 KB Output is correct
22 Correct 785 ms 12660 KB Output is correct

Subtask #4
0 / 63.0

# Verdict Execution time Memory Grader output
1 Correct 40 ms 1144 KB Output is correct
2 Correct 17 ms 760 KB Output is correct
3 Correct 51 ms 996 KB Output is correct
4 Correct 55 ms 1020 KB Output is correct
5 Correct 11 ms 632 KB Output is correct
6 Correct 17 ms 760 KB Output is correct
7 Correct 6 ms 376 KB Output is correct
8 Correct 5 ms 376 KB Output is correct
9 Correct 6 ms 504 KB Output is correct
10 Correct 46 ms 1016 KB Output is correct
11 Correct 50 ms 1016 KB Output is correct
12 Correct 57 ms 1016 KB Output is correct
13 Correct 35 ms 1016 KB Output is correct
14 Correct 48 ms 1016 KB Output is correct
15 Correct 45 ms 1016 KB Output is correct
16 Correct 42 ms 1016 KB Output is correct
17 Correct 75 ms 11112 KB Output is correct
18 Correct 73 ms 10808 KB Output is correct
19 Correct 73 ms 10596 KB Output is correct
20 Correct 16 ms 1144 KB Output is correct
21 Correct 17 ms 1016 KB Output is correct
22 Correct 14 ms 888 KB Output is correct
23 Correct 14 ms 760 KB Output is correct
24 Correct 5 ms 376 KB Output is correct
25 Correct 73 ms 11108 KB Output is correct
26 Correct 74 ms 11364 KB Output is correct
27 Correct 72 ms 10976 KB Output is correct
28 Correct 70 ms 10852 KB Output is correct
29 Correct 75 ms 10980 KB Output is correct
30 Correct 72 ms 12352 KB Output is correct
31 Correct 40 ms 1016 KB Output is correct
32 Correct 18 ms 760 KB Output is correct
33 Correct 635 ms 11276 KB Output is correct
34 Correct 18 ms 760 KB Output is correct
35 Correct 747 ms 13152 KB Output is correct
36 Correct 5 ms 376 KB Output is correct
37 Correct 5 ms 376 KB Output is correct
38 Correct 640 ms 13432 KB Output is correct
39 Correct 727 ms 13344 KB Output is correct
40 Correct 751 ms 12828 KB Output is correct
41 Correct 790 ms 12724 KB Output is correct
42 Correct 779 ms 13804 KB Output is correct
43 Correct 5 ms 376 KB Output is correct
44 Correct 5 ms 376 KB Output is correct
45 Correct 5 ms 376 KB Output is correct
46 Correct 5 ms 376 KB Output is correct
47 Correct 6 ms 376 KB Output is correct
48 Correct 5 ms 376 KB Output is correct
49 Correct 795 ms 13604 KB Output is correct
50 Correct 661 ms 13028 KB Output is correct
51 Correct 770 ms 12988 KB Output is correct
52 Correct 785 ms 12660 KB Output is correct
53 Execution timed out 1086 ms 13228 KB Time limit exceeded
54 Halted 0 ms 0 KB -