답안 #89438

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
89438 2018-12-14T12:54:11 Z Nordway Evacuation plan (IZhO18_plan) C++14
100 / 100
1950 ms 47156 KB
#include<bits/stdc++.h>
#define x first
#define y second
#define pb push_back
#define mp make_pair
#define up_b upper_bound
#define low_b lower_bound
#define sz(x) (int)x.size()
#define all(v) v.begin(),v.end()
#define boost ios_base::sync_with_stdio(0),cin.tie(0),cout.tie()

using namespace std;

typedef long long ll;
typedef long double ld;
typedef pair<int,int> pii;
typedef pair<int,ll> pil;
typedef pair<ll,int> pli;
typedef pair<ll,ll> pll;

const ll INF = 1e18;
const ll inf = 1e9;
const int mod = 1e9+7;
const int pi = acos(-1);
const int dx[8] = {0, 0, 1, -1, 1, 1, -1, -1};
const int dy[8] = {1, -1, 0, 0, 1, -1, 1, -1};
const int N = 1e5+5;
const int MAXN = 4e6+1;

vector<pii>g[N];
vector<int>gr[N];
int d[N],par[N],timer,tin[N],tout[N],up[N][22],mn[N][22];
int lvl[N];

int get(int v){
	return v==par[v]?v:(par[v]=get(par[v]));
}

bool merge(int x,int y){
	x=get(x);
	y=get(y);
	if(x==y)return 0;
	else{
		par[y]=x;
		return 1;
	}
}

void dfs(int v,int p){
	tin[v]=++timer;
	lvl[v]=lvl[p]+1;
	up[v][0]=p;
	mn[v][0]=min(d[v],d[p]);
	for(int i=1;i<=19;i++){
		up[v][i]=up[up[v][i-1]][i-1];
		mn[v][i]=min(mn[v][i-1],mn[up[v][i-1]][i-1]);
	}
	for(int i=0;i<sz(gr[v]);i++){
		int to=gr[v][i];
		if(to!=p)dfs(to,v);
	}
	tout[v]=timer;
}

bool upper(int a,int b){
	return tin[a]<=tin[b]&&tout[a]>=tout[b];
}

int lca(int a,int b){
	if(upper(a,b))return a;
	if(upper(b,a))return b;
	for(int i=19;i>=0;i--){
		if(!upper(up[a][i],b)){
			a=up[a][i];
		}
	}
	return up[a][0];
}

int get(int a,int dist){
	if(dist==0)return d[a];
	int res=d[a];
	for(int i=0;dist;i++,dist/=2){
		if(dist&1){
			res=min(res,mn[a][i]);
			a=up[a][i];
		}
	}
	return res;
}

int getmin(int a,int b){
	int l=lca(a,b);
	int res1=get(a,lvl[a]-lvl[l]),res2=get(b,lvl[b]-lvl[l]);
	//cout<<res1<<" "<<res2<<endl;
	return min(res1,res2);
}

int main(){
	int n,m;
	cin>>n>>m;
	for(int i=1;i<=m;i++){
		int u,v,w;
		cin>>u>>v>>w;
		g[u].pb(mp(v,w));
		g[v].pb(mp(u,w));
	}
	int k;
	cin>>k;
	for(int i=1;i<=n;i++){
		d[i]=inf;
	}
	set<pii>s;
	for(int i=1;i<=k;i++){
		int x;
		cin>>x;
		d[x]=0;
		s.insert(mp(0,x));
	}
	while(!s.empty()){
		pii p=*s.begin();
		s.erase(p);
		int v=p.y;
		for(int i=0;i<sz(g[v]);i++){
			int to=g[v][i].x;
			if(d[to]>d[v]+g[v][i].y){
				s.erase(mp(d[to],to));
				d[to]=d[v]+g[v][i].y;
				s.insert(mp(d[to],to));
			}
		}
	}
	for(int i=1;i<=n;i++){
		//cout<<d[i]<<" ";
		par[i]=i;
	}
	vector< pair<int,pii> >edg;
	for(int i=1;i<=n;i++){
		for(int j=0;j<sz(g[i]);j++){
			int to=g[i][j].x;
			if(to>i){
				//cout<<i<<" "<<to<<" "<<min(d[i],d[to])<<endl;
				edg.pb(mp(min(d[i],d[to]),mp(i,to)));
			}
		}
	}
	sort(all(edg));
	for(int i=sz(edg)-1;i>=0;i--){
		int a=edg[i].y.x;
		int b=edg[i].y.y;
		if(merge(a,b)){
			//cout<<a<<" "<<b<<endl;
			gr[a].pb(b);
			gr[b].pb(a);
		}
	}
	dfs(1,1);
	int q;
	cin>>q;
	while(q--){
		int a,b;
		cin>>a>>b;
		cout<<getmin(a,b)<<endl;
	}
}
# 결과 실행 시간 메모리 Grader output
1 Correct 6 ms 4984 KB Output is correct
2 Correct 11 ms 5368 KB Output is correct
3 Correct 12 ms 5368 KB Output is correct
4 Correct 6 ms 4984 KB Output is correct
5 Correct 11 ms 5368 KB Output is correct
6 Correct 11 ms 5368 KB Output is correct
7 Correct 6 ms 5112 KB Output is correct
8 Correct 6 ms 5112 KB Output is correct
9 Correct 12 ms 5368 KB Output is correct
10 Correct 12 ms 5240 KB Output is correct
11 Correct 12 ms 5404 KB Output is correct
12 Correct 11 ms 5368 KB Output is correct
13 Correct 12 ms 5240 KB Output is correct
14 Correct 11 ms 5368 KB Output is correct
15 Correct 12 ms 5368 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 6 ms 4984 KB Output is correct
2 Correct 11 ms 5368 KB Output is correct
3 Correct 12 ms 5368 KB Output is correct
4 Correct 6 ms 4984 KB Output is correct
5 Correct 11 ms 5368 KB Output is correct
6 Correct 11 ms 5368 KB Output is correct
7 Correct 6 ms 5112 KB Output is correct
8 Correct 6 ms 5112 KB Output is correct
9 Correct 12 ms 5368 KB Output is correct
10 Correct 12 ms 5240 KB Output is correct
11 Correct 12 ms 5404 KB Output is correct
12 Correct 11 ms 5368 KB Output is correct
13 Correct 12 ms 5240 KB Output is correct
14 Correct 11 ms 5368 KB Output is correct
15 Correct 12 ms 5368 KB Output is correct
16 Correct 742 ms 27420 KB Output is correct
17 Correct 1827 ms 46468 KB Output is correct
18 Correct 132 ms 9464 KB Output is correct
19 Correct 691 ms 33336 KB Output is correct
20 Correct 1815 ms 46320 KB Output is correct
21 Correct 1039 ms 35908 KB Output is correct
22 Correct 725 ms 37232 KB Output is correct
23 Correct 1777 ms 46408 KB Output is correct
24 Correct 1783 ms 46320 KB Output is correct
25 Correct 1812 ms 46252 KB Output is correct
26 Correct 676 ms 33136 KB Output is correct
27 Correct 683 ms 33292 KB Output is correct
28 Correct 679 ms 33024 KB Output is correct
29 Correct 674 ms 33180 KB Output is correct
30 Correct 672 ms 33292 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 6 ms 4984 KB Output is correct
2 Correct 6 ms 4984 KB Output is correct
3 Correct 6 ms 4984 KB Output is correct
4 Correct 7 ms 4984 KB Output is correct
5 Correct 6 ms 4984 KB Output is correct
6 Correct 6 ms 5084 KB Output is correct
7 Correct 6 ms 5012 KB Output is correct
8 Correct 6 ms 4984 KB Output is correct
9 Correct 6 ms 5088 KB Output is correct
10 Correct 6 ms 4984 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 624 ms 35416 KB Output is correct
2 Correct 1343 ms 46904 KB Output is correct
3 Correct 1331 ms 47156 KB Output is correct
4 Correct 298 ms 35324 KB Output is correct
5 Correct 1355 ms 46824 KB Output is correct
6 Correct 1353 ms 47044 KB Output is correct
7 Correct 1328 ms 46712 KB Output is correct
8 Correct 1416 ms 46808 KB Output is correct
9 Correct 1343 ms 46568 KB Output is correct
10 Correct 1337 ms 46748 KB Output is correct
11 Correct 1339 ms 46232 KB Output is correct
12 Correct 1391 ms 46564 KB Output is correct
13 Correct 1327 ms 46556 KB Output is correct
14 Correct 1342 ms 46416 KB Output is correct
15 Correct 1350 ms 46712 KB Output is correct
16 Correct 1415 ms 46504 KB Output is correct
17 Correct 1326 ms 46504 KB Output is correct
18 Correct 1356 ms 46592 KB Output is correct
19 Correct 316 ms 36840 KB Output is correct
20 Correct 1385 ms 46708 KB Output is correct
21 Correct 1298 ms 46368 KB Output is correct
22 Correct 282 ms 33476 KB Output is correct
23 Correct 300 ms 33216 KB Output is correct
24 Correct 286 ms 33444 KB Output is correct
25 Correct 318 ms 33216 KB Output is correct
26 Correct 330 ms 33488 KB Output is correct
27 Correct 304 ms 36204 KB Output is correct
28 Correct 300 ms 33148 KB Output is correct
29 Correct 304 ms 35228 KB Output is correct
30 Correct 289 ms 32828 KB Output is correct
31 Correct 300 ms 35176 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 6 ms 4984 KB Output is correct
2 Correct 11 ms 5368 KB Output is correct
3 Correct 12 ms 5368 KB Output is correct
4 Correct 6 ms 4984 KB Output is correct
5 Correct 11 ms 5368 KB Output is correct
6 Correct 11 ms 5368 KB Output is correct
7 Correct 6 ms 5112 KB Output is correct
8 Correct 6 ms 5112 KB Output is correct
9 Correct 12 ms 5368 KB Output is correct
10 Correct 12 ms 5240 KB Output is correct
11 Correct 12 ms 5404 KB Output is correct
12 Correct 11 ms 5368 KB Output is correct
13 Correct 12 ms 5240 KB Output is correct
14 Correct 11 ms 5368 KB Output is correct
15 Correct 12 ms 5368 KB Output is correct
16 Correct 742 ms 27420 KB Output is correct
17 Correct 1827 ms 46468 KB Output is correct
18 Correct 132 ms 9464 KB Output is correct
19 Correct 691 ms 33336 KB Output is correct
20 Correct 1815 ms 46320 KB Output is correct
21 Correct 1039 ms 35908 KB Output is correct
22 Correct 725 ms 37232 KB Output is correct
23 Correct 1777 ms 46408 KB Output is correct
24 Correct 1783 ms 46320 KB Output is correct
25 Correct 1812 ms 46252 KB Output is correct
26 Correct 676 ms 33136 KB Output is correct
27 Correct 683 ms 33292 KB Output is correct
28 Correct 679 ms 33024 KB Output is correct
29 Correct 674 ms 33180 KB Output is correct
30 Correct 672 ms 33292 KB Output is correct
31 Correct 6 ms 4984 KB Output is correct
32 Correct 6 ms 4984 KB Output is correct
33 Correct 6 ms 4984 KB Output is correct
34 Correct 7 ms 4984 KB Output is correct
35 Correct 6 ms 4984 KB Output is correct
36 Correct 6 ms 5084 KB Output is correct
37 Correct 6 ms 5012 KB Output is correct
38 Correct 6 ms 4984 KB Output is correct
39 Correct 6 ms 5088 KB Output is correct
40 Correct 6 ms 4984 KB Output is correct
41 Correct 624 ms 35416 KB Output is correct
42 Correct 1343 ms 46904 KB Output is correct
43 Correct 1331 ms 47156 KB Output is correct
44 Correct 298 ms 35324 KB Output is correct
45 Correct 1355 ms 46824 KB Output is correct
46 Correct 1353 ms 47044 KB Output is correct
47 Correct 1328 ms 46712 KB Output is correct
48 Correct 1416 ms 46808 KB Output is correct
49 Correct 1343 ms 46568 KB Output is correct
50 Correct 1337 ms 46748 KB Output is correct
51 Correct 1339 ms 46232 KB Output is correct
52 Correct 1391 ms 46564 KB Output is correct
53 Correct 1327 ms 46556 KB Output is correct
54 Correct 1342 ms 46416 KB Output is correct
55 Correct 1350 ms 46712 KB Output is correct
56 Correct 1415 ms 46504 KB Output is correct
57 Correct 1326 ms 46504 KB Output is correct
58 Correct 1356 ms 46592 KB Output is correct
59 Correct 316 ms 36840 KB Output is correct
60 Correct 1385 ms 46708 KB Output is correct
61 Correct 1298 ms 46368 KB Output is correct
62 Correct 282 ms 33476 KB Output is correct
63 Correct 300 ms 33216 KB Output is correct
64 Correct 286 ms 33444 KB Output is correct
65 Correct 318 ms 33216 KB Output is correct
66 Correct 330 ms 33488 KB Output is correct
67 Correct 304 ms 36204 KB Output is correct
68 Correct 300 ms 33148 KB Output is correct
69 Correct 304 ms 35228 KB Output is correct
70 Correct 289 ms 32828 KB Output is correct
71 Correct 300 ms 35176 KB Output is correct
72 Correct 1067 ms 36112 KB Output is correct
73 Correct 1785 ms 46296 KB Output is correct
74 Correct 1861 ms 46516 KB Output is correct
75 Correct 1805 ms 46384 KB Output is correct
76 Correct 1818 ms 46348 KB Output is correct
77 Correct 1836 ms 46388 KB Output is correct
78 Correct 1836 ms 46380 KB Output is correct
79 Correct 1833 ms 46348 KB Output is correct
80 Correct 1794 ms 46432 KB Output is correct
81 Correct 1794 ms 46368 KB Output is correct
82 Correct 1812 ms 46412 KB Output is correct
83 Correct 1827 ms 46448 KB Output is correct
84 Correct 1818 ms 46364 KB Output is correct
85 Correct 1822 ms 46216 KB Output is correct
86 Correct 1842 ms 46436 KB Output is correct
87 Correct 1950 ms 46296 KB Output is correct
88 Correct 1804 ms 46328 KB Output is correct
89 Correct 805 ms 36104 KB Output is correct
90 Correct 1806 ms 46308 KB Output is correct
91 Correct 1705 ms 46380 KB Output is correct
92 Correct 711 ms 33172 KB Output is correct
93 Correct 808 ms 33648 KB Output is correct
94 Correct 709 ms 33148 KB Output is correct
95 Correct 707 ms 33172 KB Output is correct
96 Correct 791 ms 33012 KB Output is correct
97 Correct 806 ms 35332 KB Output is correct
98 Correct 766 ms 33128 KB Output is correct
99 Correct 815 ms 36420 KB Output is correct
100 Correct 728 ms 33152 KB Output is correct