Submission #412565

# Submission time Handle Problem Language Result Execution time Memory
412565 2021-05-27T06:15:43 Z jeqcho Race (IOI11_race) C++17
100 / 100
678 ms 74896 KB
#include <bits/stdc++.h>
using namespace std;

typedef long long ll;
typedef pair<int,int> pii;
typedef vector<int> vi;
typedef vector<pair<int,int>> vpi;

#define FOR(i,a,b) for (int i = (a); i < (b); ++i)
#define F0R(i,a) FOR(i,0,a)
#define ROF(i,a,b) for (int i = (b)-1; i >= (a); --i)
#define R0F(i,a) ROF(i,0,a)
#define trav(a,x) for (auto& a: x)

#define pb push_back
#define rsz resize
#define sz(x) int(x.size())
#define all(x) begin(x), end(x)
#define fi first
#define se second


// subtask 1,2,3

int const n=2e5;
unordered_map<int,int> adj[n];
int sub[n];
int const INF=1e9;
int mn=INF;
int k;

int getsub(int now, int par)
{
	sub[now]=1;
	trav(chi,adj[now])
	{
		if(chi.fi==par)continue;
		sub[now]+=getsub(chi.fi,now);
	}
	return sub[now];
}

int centroid(int now, int par, int siz)
{
	trav(chi,adj[now])
	{
		if(chi.fi==par)continue;
		if(sub[chi.fi]>siz/2)return centroid(chi.fi,now,siz);
	}
	return now;
}

int const k_=1e6+3;
pair<pii,pii> path[k_];
vi pos;
bitset<k_> got;

void dfs(int now, int par, int cur, int id, int dep)
{
	if(cur>k)return;
	if(!got[cur])
	{
		pos.pb(cur);
		got[cur]=1;
		path[cur] = {{-1,INF},{-1,INF}};
	}
	if(path[cur].fi.fi==id)
	{
		path[cur].fi.se = min(path[cur].fi.se,dep);
	}
	else if(path[cur].se.fi==id)
	{
		path[cur].se.se = min(path[cur].se.se,dep);
		if(path[cur].se.se < path[cur].fi.se)
		{
			swap(path[cur].se, path[cur].fi);
		}
	}
	else if(dep < path[cur].fi.se)
	{
		path[cur].se = path[cur].fi;
		path[cur].fi = {id,dep};
	}
	else if(dep < path[cur].se.se)
	{
		path[cur].se = {id,dep};
	}
	trav(chi,adj[now])
	{
		if(chi.fi==par)continue;
		dfs(chi.fi,now,cur+chi.se,id,dep+1);
	}
}

void solve(int now)
{
	pos.clear();
	trav(chi,adj[now])
	{
		dfs(chi.fi,now,chi.se,chi.fi,1);
	}
	pos.pb(0);
	path[0].fi={now,0};
	got[0]=1;
	trav(i,pos)
	{
		if(!got[k-i])continue;
		if(path[i].fi.fi==path[k-i].fi.fi)
		{
			if(path[i].se.fi!=-1)
			{
				mn=min(mn,path[i].se.se+path[k-i].fi.se);
			}
			if(path[k-i].se.fi!=-1)
			{
				mn=min(mn,path[i].fi.se+path[k-i].se.se);
			}
		}
		else
		{
			mn=min(mn,path[i].fi.se+path[k-i].fi.se);
		}
	}
	trav(e,pos)
	{
		got[e]=0;
	}
}


void decomp(int now)
{
	int siz = getsub(now,-1);
	int u = centroid(now,-1,siz);
	solve(u);
	trav(chi,adj[u])
	{
		adj[chi.fi].erase(u);
		decomp(chi.fi);
	}
}

int best_path(int N, int K, int H[][2], int L[]){
	k=K;
	F0R(i,N-1)
	{
		int u = H[i][0];
		int v = H[i][1];
		adj[u].insert({v,L[i]});
		adj[v].insert({u,L[i]});
	}
	decomp(0);
	
	if(mn==INF)return -1;
	return mn;
}
# Verdict Execution time Memory Grader output
1 Correct 7 ms 11304 KB Output is correct
2 Correct 7 ms 11212 KB Output is correct
3 Correct 7 ms 11212 KB Output is correct
4 Correct 7 ms 11212 KB Output is correct
5 Correct 9 ms 11212 KB Output is correct
6 Correct 7 ms 11212 KB Output is correct
7 Correct 8 ms 11212 KB Output is correct
8 Correct 7 ms 11212 KB Output is correct
9 Correct 8 ms 11200 KB Output is correct
10 Correct 8 ms 11240 KB Output is correct
11 Correct 7 ms 11212 KB Output is correct
12 Correct 8 ms 11212 KB Output is correct
13 Correct 7 ms 11212 KB Output is correct
14 Correct 7 ms 11212 KB Output is correct
15 Correct 7 ms 11212 KB Output is correct
16 Correct 7 ms 11328 KB Output is correct
17 Correct 7 ms 11300 KB Output is correct
18 Correct 8 ms 11292 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 7 ms 11304 KB Output is correct
2 Correct 7 ms 11212 KB Output is correct
3 Correct 7 ms 11212 KB Output is correct
4 Correct 7 ms 11212 KB Output is correct
5 Correct 9 ms 11212 KB Output is correct
6 Correct 7 ms 11212 KB Output is correct
7 Correct 8 ms 11212 KB Output is correct
8 Correct 7 ms 11212 KB Output is correct
9 Correct 8 ms 11200 KB Output is correct
10 Correct 8 ms 11240 KB Output is correct
11 Correct 7 ms 11212 KB Output is correct
12 Correct 8 ms 11212 KB Output is correct
13 Correct 7 ms 11212 KB Output is correct
14 Correct 7 ms 11212 KB Output is correct
15 Correct 7 ms 11212 KB Output is correct
16 Correct 7 ms 11328 KB Output is correct
17 Correct 7 ms 11300 KB Output is correct
18 Correct 8 ms 11292 KB Output is correct
19 Correct 7 ms 11212 KB Output is correct
20 Correct 8 ms 11212 KB Output is correct
21 Correct 10 ms 11468 KB Output is correct
22 Correct 11 ms 15452 KB Output is correct
23 Correct 10 ms 14924 KB Output is correct
24 Correct 11 ms 16680 KB Output is correct
25 Correct 11 ms 16968 KB Output is correct
26 Correct 10 ms 14924 KB Output is correct
27 Correct 8 ms 11468 KB Output is correct
28 Correct 10 ms 14540 KB Output is correct
29 Correct 10 ms 15820 KB Output is correct
30 Correct 12 ms 16432 KB Output is correct
31 Correct 11 ms 17100 KB Output is correct
32 Correct 11 ms 17184 KB Output is correct
33 Correct 13 ms 19604 KB Output is correct
34 Correct 11 ms 17956 KB Output is correct
35 Correct 14 ms 18984 KB Output is correct
36 Correct 11 ms 19404 KB Output is correct
37 Correct 10 ms 16584 KB Output is correct
38 Correct 10 ms 15180 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 7 ms 11304 KB Output is correct
2 Correct 7 ms 11212 KB Output is correct
3 Correct 7 ms 11212 KB Output is correct
4 Correct 7 ms 11212 KB Output is correct
5 Correct 9 ms 11212 KB Output is correct
6 Correct 7 ms 11212 KB Output is correct
7 Correct 8 ms 11212 KB Output is correct
8 Correct 7 ms 11212 KB Output is correct
9 Correct 8 ms 11200 KB Output is correct
10 Correct 8 ms 11240 KB Output is correct
11 Correct 7 ms 11212 KB Output is correct
12 Correct 8 ms 11212 KB Output is correct
13 Correct 7 ms 11212 KB Output is correct
14 Correct 7 ms 11212 KB Output is correct
15 Correct 7 ms 11212 KB Output is correct
16 Correct 7 ms 11328 KB Output is correct
17 Correct 7 ms 11300 KB Output is correct
18 Correct 8 ms 11292 KB Output is correct
19 Correct 208 ms 30060 KB Output is correct
20 Correct 237 ms 30048 KB Output is correct
21 Correct 218 ms 30052 KB Output is correct
22 Correct 238 ms 30020 KB Output is correct
23 Correct 147 ms 30128 KB Output is correct
24 Correct 114 ms 30020 KB Output is correct
25 Correct 194 ms 32536 KB Output is correct
26 Correct 127 ms 34752 KB Output is correct
27 Correct 354 ms 49952 KB Output is correct
28 Correct 442 ms 58120 KB Output is correct
29 Correct 434 ms 57504 KB Output is correct
30 Correct 350 ms 49948 KB Output is correct
31 Correct 332 ms 49896 KB Output is correct
32 Correct 478 ms 49860 KB Output is correct
33 Correct 368 ms 48780 KB Output is correct
34 Correct 342 ms 48676 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 7 ms 11304 KB Output is correct
2 Correct 7 ms 11212 KB Output is correct
3 Correct 7 ms 11212 KB Output is correct
4 Correct 7 ms 11212 KB Output is correct
5 Correct 9 ms 11212 KB Output is correct
6 Correct 7 ms 11212 KB Output is correct
7 Correct 8 ms 11212 KB Output is correct
8 Correct 7 ms 11212 KB Output is correct
9 Correct 8 ms 11200 KB Output is correct
10 Correct 8 ms 11240 KB Output is correct
11 Correct 7 ms 11212 KB Output is correct
12 Correct 8 ms 11212 KB Output is correct
13 Correct 7 ms 11212 KB Output is correct
14 Correct 7 ms 11212 KB Output is correct
15 Correct 7 ms 11212 KB Output is correct
16 Correct 7 ms 11328 KB Output is correct
17 Correct 7 ms 11300 KB Output is correct
18 Correct 8 ms 11292 KB Output is correct
19 Correct 7 ms 11212 KB Output is correct
20 Correct 8 ms 11212 KB Output is correct
21 Correct 10 ms 11468 KB Output is correct
22 Correct 11 ms 15452 KB Output is correct
23 Correct 10 ms 14924 KB Output is correct
24 Correct 11 ms 16680 KB Output is correct
25 Correct 11 ms 16968 KB Output is correct
26 Correct 10 ms 14924 KB Output is correct
27 Correct 8 ms 11468 KB Output is correct
28 Correct 10 ms 14540 KB Output is correct
29 Correct 10 ms 15820 KB Output is correct
30 Correct 12 ms 16432 KB Output is correct
31 Correct 11 ms 17100 KB Output is correct
32 Correct 11 ms 17184 KB Output is correct
33 Correct 13 ms 19604 KB Output is correct
34 Correct 11 ms 17956 KB Output is correct
35 Correct 14 ms 18984 KB Output is correct
36 Correct 11 ms 19404 KB Output is correct
37 Correct 10 ms 16584 KB Output is correct
38 Correct 10 ms 15180 KB Output is correct
39 Correct 208 ms 30060 KB Output is correct
40 Correct 237 ms 30048 KB Output is correct
41 Correct 218 ms 30052 KB Output is correct
42 Correct 238 ms 30020 KB Output is correct
43 Correct 147 ms 30128 KB Output is correct
44 Correct 114 ms 30020 KB Output is correct
45 Correct 194 ms 32536 KB Output is correct
46 Correct 127 ms 34752 KB Output is correct
47 Correct 354 ms 49952 KB Output is correct
48 Correct 442 ms 58120 KB Output is correct
49 Correct 434 ms 57504 KB Output is correct
50 Correct 350 ms 49948 KB Output is correct
51 Correct 332 ms 49896 KB Output is correct
52 Correct 478 ms 49860 KB Output is correct
53 Correct 368 ms 48780 KB Output is correct
54 Correct 342 ms 48676 KB Output is correct
55 Correct 20 ms 13260 KB Output is correct
56 Correct 19 ms 13168 KB Output is correct
57 Correct 117 ms 30040 KB Output is correct
58 Correct 74 ms 31472 KB Output is correct
59 Correct 142 ms 36888 KB Output is correct
60 Correct 616 ms 68384 KB Output is correct
61 Correct 374 ms 53188 KB Output is correct
62 Correct 445 ms 52940 KB Output is correct
63 Correct 550 ms 53064 KB Output is correct
64 Correct 678 ms 57144 KB Output is correct
65 Correct 445 ms 52824 KB Output is correct
66 Correct 558 ms 74896 KB Output is correct
67 Correct 350 ms 54964 KB Output is correct
68 Correct 565 ms 64380 KB Output is correct
69 Correct 557 ms 64972 KB Output is correct
70 Correct 533 ms 62272 KB Output is correct