//#include <bits/stdc++.h>
#include <map>
#include <set>
#include <list>
#include <cmath>
#include <ctime>
#include <deque>
#include <queue>
#include <stack>
#include <string>
#include <bitset>
#include <cstdio>
#include <limits>
#include <complex>
#include <vector>
#include <climits>
#include <cstring>
#include <cstdlib>
#include <fstream>
#include <numeric>
#include <sstream>
#include <cassert>
#include <iomanip>
#include <iostream>
#include <algorithm>
#define ll long long
#define ld long double
#define ull unsigned ll
#define ioi exit(0);
#define f first
#define s second
#define inf (int)1e9 + 7
#define NFS ios_base :: sync_with_stdio(0), cin.tie(0), cout.tie(0);
#define mp(x,y) make_pair(x,y)
#define lb(x) lower_bound(x)
#define ub(x) upper_bound(x)
#define pb push_back
#define ppb pop_back
#define bitcoin __builtin_popcount
#define endl "\n"
#define in(x) insert(x)
#define sz(x) (int)x.size()
#define all(x) x.begin(),x.end()
#define pw2(x) (1<<x) //2^x
#define forit(it,v) for (typeof(v.begin()) it = v.begin(); it != v.end(); ++it)
#define sqr(x) ((x) * 1ll * (x))
using namespace std;
const int N = (int)5e5 + 7, MOD = (int)1e9 + 7;
int n,m;
bool used[N];
int d[N];
vector<pair<int,int> > v[N],new_v[N];
int up[N][24],mn[N][24];
set<pair<int,int> > s;
vector<pair<int,pair<int,int> > > mx;
void dfs1(int x){
used[x]=1;
for(int i=0;i<sz(v[x]);i++){
int to=v[x][i].f;
v[x][i].s=min(d[x],d[to]);
if(!used[to]){
dfs1(to);
}
}
}
int nw;
int tin[N],tout[N];
void dfs2(int x){
used[x]=1;
for(int i=0;i<sz(v[x]);i++){
int to=v[x][i].f;
mx.pb({v[x][i].s,{x,to}});
if(!used[to]){
dfs2(to);
}
}
}
void dfs3(int x,int p=0){
nw++;
tin[x]=nw;
used[x]=1;
for(int i=0;i<sz(new_v[x]);i++){
int to=new_v[x][i].f;
if(!used[to]){
dfs3(to,x);
up[to][0]=x;
mn[to][0]=new_v[x][i].s;
}
}
tout[x]=nw;
}
int col[N],p[N],rnk[N];
int get(int v){
if(p[v] == v) return v;
return p[v] = get(p[v]);
}
void Merge(int u,int v){
v = get(v);
u = get(u);
if(rnk[u] < rnk[v]){
rnk[v] += rnk[u];
p[u] = v;
}
else{
rnk[u] += rnk[v];
p[v] = u;
}
}
bool ok(int x,int y){
return tin[x]<=tin[y] and tout[x]>=tout[y];
}
int lca(int x,int y){
if(ok(x,y))return x;
if(ok(y,x))return y;
for(int i=20;i>=0;i--){
if(up[x][i]!=0 and !ok(up[x][i],y)){
x=up[x][i];
}
}
return up[x][0];
}
int getm(int x,int y){
int ct=inf;
if(x==y)return ct;
for(int i=20;i>=0;i--){
if(up[x][i]!=0 and !ok(up[x][i],y)){
ct=min(ct,mn[x][i]);
//cout << "NWE" << ' ' << x << ' ' << i << ' ' << mn[x][i] << endl;
x=up[x][i];
}
}
//cout << x << ' ' << mn[x][0] << endl;
return min(ct,mn[x][0]);
}
int getmin(int x,int y){
int z = lca(x,y);
//cout << z << endl;
//cout << getm(x,z) << ' ' << getm(y,z) << endl;
return min(getm(x,z), getm(y,z));
}
int main(){
#ifdef IOI2019
freopen ("in.txt", "r", stdin);
#endif
NFS
cin >> n >> m;
for(int i = 1; i <= n; i++) d[i] = inf;
for(int i=1;i<=m;i++){
int x,y,z;
cin >> x >> y >> z;
v[x].pb({y,z});
v[y].pb({x,z});
}
cin >> m;
for(int i=1;i<=m;i++){
int x;
cin >> x;
s.insert({0,x});
d[x]=0;
}
while(!s.empty()){
int x=(*s.begin()).s;
s.erase(s.begin());
for(int i=0;i<sz(v[x]);i++){
int to=v[x][i].f,w=v[x][i].s;
if(d[to]>d[x]+w){
s.erase({d[to],to});
d[to]=d[x]+w;
s.insert({d[to],to});
}
}
}
dfs1(1);
memset(used,0,sizeof(used));
dfs2(1);
sort(all(mx));
reverse(all(mx));
for(int i=1;i<=n;i++){
p[i]=i;
rnk[i]=1;
}
for(int i=0;i<sz(mx);i++){
int x=mx[i].s.f,y=mx[i].s.s,z=mx[i].f;
if(get(x)!=get(y)){
Merge(x,y);
//cout << x << ' ' << y << ' ' << z << endl;
//cout << get(x) << ' ' << get(y) << endl;
//if(x == 5) return 0;
new_v[x].pb({y,z});
new_v[y].pb({x,z});
}
}
memset(used,0,sizeof(used));
dfs3(1);
for(int j=1;j<=20;j++){
for(int i=1;i<=n;i++){
up[i][j]=up[up[i][j-1]][j-1];
mn[i][j]=min(mn[i][j-1],mn[up[i][j-1]][j-1]);
}
}
cin >> m;
for(int i=1;i<=m;i++){
int x,y;
cin >> x >> y;
cout << getmin(x,y) << endl;
}
#ifdef IOI2019
cout << "\nTime Elapsed : " << clock () * 1.0 / CLOCKS_PER_SEC << endl;
#endif
ioi
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
23 ms |
24312 KB |
Output is correct |
2 |
Correct |
25 ms |
24696 KB |
Output is correct |
3 |
Correct |
26 ms |
24696 KB |
Output is correct |
4 |
Correct |
24 ms |
24312 KB |
Output is correct |
5 |
Correct |
26 ms |
24696 KB |
Output is correct |
6 |
Correct |
26 ms |
24696 KB |
Output is correct |
7 |
Correct |
24 ms |
24360 KB |
Output is correct |
8 |
Correct |
25 ms |
24440 KB |
Output is correct |
9 |
Correct |
26 ms |
24700 KB |
Output is correct |
10 |
Correct |
25 ms |
24700 KB |
Output is correct |
11 |
Correct |
26 ms |
24696 KB |
Output is correct |
12 |
Correct |
25 ms |
24696 KB |
Output is correct |
13 |
Correct |
25 ms |
24652 KB |
Output is correct |
14 |
Correct |
25 ms |
24744 KB |
Output is correct |
15 |
Correct |
26 ms |
24696 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
23 ms |
24312 KB |
Output is correct |
2 |
Correct |
25 ms |
24696 KB |
Output is correct |
3 |
Correct |
26 ms |
24696 KB |
Output is correct |
4 |
Correct |
24 ms |
24312 KB |
Output is correct |
5 |
Correct |
26 ms |
24696 KB |
Output is correct |
6 |
Correct |
26 ms |
24696 KB |
Output is correct |
7 |
Correct |
24 ms |
24360 KB |
Output is correct |
8 |
Correct |
25 ms |
24440 KB |
Output is correct |
9 |
Correct |
26 ms |
24700 KB |
Output is correct |
10 |
Correct |
25 ms |
24700 KB |
Output is correct |
11 |
Correct |
26 ms |
24696 KB |
Output is correct |
12 |
Correct |
25 ms |
24696 KB |
Output is correct |
13 |
Correct |
25 ms |
24652 KB |
Output is correct |
14 |
Correct |
25 ms |
24744 KB |
Output is correct |
15 |
Correct |
26 ms |
24696 KB |
Output is correct |
16 |
Correct |
312 ms |
51248 KB |
Output is correct |
17 |
Correct |
994 ms |
80120 KB |
Output is correct |
18 |
Correct |
85 ms |
30236 KB |
Output is correct |
19 |
Correct |
285 ms |
55700 KB |
Output is correct |
20 |
Correct |
1012 ms |
80108 KB |
Output is correct |
21 |
Correct |
511 ms |
63988 KB |
Output is correct |
22 |
Correct |
286 ms |
62372 KB |
Output is correct |
23 |
Correct |
974 ms |
80180 KB |
Output is correct |
24 |
Correct |
965 ms |
80164 KB |
Output is correct |
25 |
Correct |
967 ms |
80020 KB |
Output is correct |
26 |
Correct |
274 ms |
55476 KB |
Output is correct |
27 |
Correct |
269 ms |
55568 KB |
Output is correct |
28 |
Correct |
276 ms |
55580 KB |
Output is correct |
29 |
Correct |
281 ms |
55564 KB |
Output is correct |
30 |
Correct |
282 ms |
55868 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
25 ms |
24440 KB |
Output is correct |
2 |
Correct |
24 ms |
24328 KB |
Output is correct |
3 |
Correct |
24 ms |
24444 KB |
Output is correct |
4 |
Correct |
24 ms |
24312 KB |
Output is correct |
5 |
Correct |
24 ms |
24312 KB |
Output is correct |
6 |
Correct |
24 ms |
24440 KB |
Output is correct |
7 |
Correct |
24 ms |
24312 KB |
Output is correct |
8 |
Correct |
24 ms |
24312 KB |
Output is correct |
9 |
Correct |
28 ms |
24440 KB |
Output is correct |
10 |
Correct |
24 ms |
24312 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
443 ms |
63648 KB |
Output is correct |
2 |
Correct |
898 ms |
79888 KB |
Output is correct |
3 |
Correct |
958 ms |
79884 KB |
Output is correct |
4 |
Correct |
233 ms |
58520 KB |
Output is correct |
5 |
Correct |
909 ms |
79708 KB |
Output is correct |
6 |
Correct |
926 ms |
79880 KB |
Output is correct |
7 |
Correct |
872 ms |
79828 KB |
Output is correct |
8 |
Correct |
847 ms |
79624 KB |
Output is correct |
9 |
Correct |
911 ms |
79764 KB |
Output is correct |
10 |
Correct |
882 ms |
79752 KB |
Output is correct |
11 |
Correct |
894 ms |
79728 KB |
Output is correct |
12 |
Correct |
896 ms |
79864 KB |
Output is correct |
13 |
Correct |
891 ms |
79920 KB |
Output is correct |
14 |
Correct |
895 ms |
79740 KB |
Output is correct |
15 |
Correct |
900 ms |
79808 KB |
Output is correct |
16 |
Correct |
909 ms |
79784 KB |
Output is correct |
17 |
Correct |
883 ms |
79736 KB |
Output is correct |
18 |
Correct |
912 ms |
79848 KB |
Output is correct |
19 |
Correct |
240 ms |
61156 KB |
Output is correct |
20 |
Correct |
913 ms |
79956 KB |
Output is correct |
21 |
Correct |
784 ms |
79772 KB |
Output is correct |
22 |
Correct |
220 ms |
55300 KB |
Output is correct |
23 |
Correct |
225 ms |
56296 KB |
Output is correct |
24 |
Correct |
222 ms |
55444 KB |
Output is correct |
25 |
Correct |
229 ms |
55396 KB |
Output is correct |
26 |
Correct |
254 ms |
56264 KB |
Output is correct |
27 |
Correct |
243 ms |
60896 KB |
Output is correct |
28 |
Correct |
216 ms |
55228 KB |
Output is correct |
29 |
Correct |
234 ms |
59692 KB |
Output is correct |
30 |
Correct |
221 ms |
55336 KB |
Output is correct |
31 |
Correct |
252 ms |
59792 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
23 ms |
24312 KB |
Output is correct |
2 |
Correct |
25 ms |
24696 KB |
Output is correct |
3 |
Correct |
26 ms |
24696 KB |
Output is correct |
4 |
Correct |
24 ms |
24312 KB |
Output is correct |
5 |
Correct |
26 ms |
24696 KB |
Output is correct |
6 |
Correct |
26 ms |
24696 KB |
Output is correct |
7 |
Correct |
24 ms |
24360 KB |
Output is correct |
8 |
Correct |
25 ms |
24440 KB |
Output is correct |
9 |
Correct |
26 ms |
24700 KB |
Output is correct |
10 |
Correct |
25 ms |
24700 KB |
Output is correct |
11 |
Correct |
26 ms |
24696 KB |
Output is correct |
12 |
Correct |
25 ms |
24696 KB |
Output is correct |
13 |
Correct |
25 ms |
24652 KB |
Output is correct |
14 |
Correct |
25 ms |
24744 KB |
Output is correct |
15 |
Correct |
26 ms |
24696 KB |
Output is correct |
16 |
Correct |
312 ms |
51248 KB |
Output is correct |
17 |
Correct |
994 ms |
80120 KB |
Output is correct |
18 |
Correct |
85 ms |
30236 KB |
Output is correct |
19 |
Correct |
285 ms |
55700 KB |
Output is correct |
20 |
Correct |
1012 ms |
80108 KB |
Output is correct |
21 |
Correct |
511 ms |
63988 KB |
Output is correct |
22 |
Correct |
286 ms |
62372 KB |
Output is correct |
23 |
Correct |
974 ms |
80180 KB |
Output is correct |
24 |
Correct |
965 ms |
80164 KB |
Output is correct |
25 |
Correct |
967 ms |
80020 KB |
Output is correct |
26 |
Correct |
274 ms |
55476 KB |
Output is correct |
27 |
Correct |
269 ms |
55568 KB |
Output is correct |
28 |
Correct |
276 ms |
55580 KB |
Output is correct |
29 |
Correct |
281 ms |
55564 KB |
Output is correct |
30 |
Correct |
282 ms |
55868 KB |
Output is correct |
31 |
Correct |
25 ms |
24440 KB |
Output is correct |
32 |
Correct |
24 ms |
24328 KB |
Output is correct |
33 |
Correct |
24 ms |
24444 KB |
Output is correct |
34 |
Correct |
24 ms |
24312 KB |
Output is correct |
35 |
Correct |
24 ms |
24312 KB |
Output is correct |
36 |
Correct |
24 ms |
24440 KB |
Output is correct |
37 |
Correct |
24 ms |
24312 KB |
Output is correct |
38 |
Correct |
24 ms |
24312 KB |
Output is correct |
39 |
Correct |
28 ms |
24440 KB |
Output is correct |
40 |
Correct |
24 ms |
24312 KB |
Output is correct |
41 |
Correct |
443 ms |
63648 KB |
Output is correct |
42 |
Correct |
898 ms |
79888 KB |
Output is correct |
43 |
Correct |
958 ms |
79884 KB |
Output is correct |
44 |
Correct |
233 ms |
58520 KB |
Output is correct |
45 |
Correct |
909 ms |
79708 KB |
Output is correct |
46 |
Correct |
926 ms |
79880 KB |
Output is correct |
47 |
Correct |
872 ms |
79828 KB |
Output is correct |
48 |
Correct |
847 ms |
79624 KB |
Output is correct |
49 |
Correct |
911 ms |
79764 KB |
Output is correct |
50 |
Correct |
882 ms |
79752 KB |
Output is correct |
51 |
Correct |
894 ms |
79728 KB |
Output is correct |
52 |
Correct |
896 ms |
79864 KB |
Output is correct |
53 |
Correct |
891 ms |
79920 KB |
Output is correct |
54 |
Correct |
895 ms |
79740 KB |
Output is correct |
55 |
Correct |
900 ms |
79808 KB |
Output is correct |
56 |
Correct |
909 ms |
79784 KB |
Output is correct |
57 |
Correct |
883 ms |
79736 KB |
Output is correct |
58 |
Correct |
912 ms |
79848 KB |
Output is correct |
59 |
Correct |
240 ms |
61156 KB |
Output is correct |
60 |
Correct |
913 ms |
79956 KB |
Output is correct |
61 |
Correct |
784 ms |
79772 KB |
Output is correct |
62 |
Correct |
220 ms |
55300 KB |
Output is correct |
63 |
Correct |
225 ms |
56296 KB |
Output is correct |
64 |
Correct |
222 ms |
55444 KB |
Output is correct |
65 |
Correct |
229 ms |
55396 KB |
Output is correct |
66 |
Correct |
254 ms |
56264 KB |
Output is correct |
67 |
Correct |
243 ms |
60896 KB |
Output is correct |
68 |
Correct |
216 ms |
55228 KB |
Output is correct |
69 |
Correct |
234 ms |
59692 KB |
Output is correct |
70 |
Correct |
221 ms |
55336 KB |
Output is correct |
71 |
Correct |
252 ms |
59792 KB |
Output is correct |
72 |
Correct |
505 ms |
64408 KB |
Output is correct |
73 |
Correct |
997 ms |
80196 KB |
Output is correct |
74 |
Correct |
978 ms |
80152 KB |
Output is correct |
75 |
Correct |
986 ms |
80428 KB |
Output is correct |
76 |
Correct |
972 ms |
80228 KB |
Output is correct |
77 |
Correct |
990 ms |
80128 KB |
Output is correct |
78 |
Correct |
1014 ms |
80216 KB |
Output is correct |
79 |
Correct |
973 ms |
80216 KB |
Output is correct |
80 |
Correct |
971 ms |
80300 KB |
Output is correct |
81 |
Correct |
1018 ms |
80152 KB |
Output is correct |
82 |
Correct |
965 ms |
80248 KB |
Output is correct |
83 |
Correct |
999 ms |
80176 KB |
Output is correct |
84 |
Correct |
995 ms |
80092 KB |
Output is correct |
85 |
Correct |
1006 ms |
80048 KB |
Output is correct |
86 |
Correct |
1122 ms |
80144 KB |
Output is correct |
87 |
Correct |
987 ms |
80148 KB |
Output is correct |
88 |
Correct |
946 ms |
80104 KB |
Output is correct |
89 |
Correct |
358 ms |
60672 KB |
Output is correct |
90 |
Correct |
1024 ms |
80124 KB |
Output is correct |
91 |
Correct |
871 ms |
80192 KB |
Output is correct |
92 |
Correct |
290 ms |
55556 KB |
Output is correct |
93 |
Correct |
381 ms |
57188 KB |
Output is correct |
94 |
Correct |
298 ms |
55548 KB |
Output is correct |
95 |
Correct |
312 ms |
55820 KB |
Output is correct |
96 |
Correct |
368 ms |
56572 KB |
Output is correct |
97 |
Correct |
369 ms |
59344 KB |
Output is correct |
98 |
Correct |
293 ms |
55480 KB |
Output is correct |
99 |
Correct |
358 ms |
61356 KB |
Output is correct |
100 |
Correct |
302 ms |
55572 KB |
Output is correct |