#include<cstdio>
#include<algorithm>
#include<vector>
#define pii pair<int,int>
using namespace std;
vector<int>E[101000], T[101000], L[101000];
int n, m, pL[101000][20], par[101000][18], Dep[101000], Num[101000], Ed[101000], cnt;
struct Edge{
int a, b, c;
bool operator <(const Edge &p)const{
return c<p.c;
}
}w[301000];
int UF[101000];
long long S;
int Find(int a){
if(a==UF[a])return a;
return UF[a] = Find(UF[a]);
}
bool Merge(int a, int b){
a=Find(a),b=Find(b);
if(a==b)return false;
UF[a] = b;
return true;
}
void DFS(int a, int pp){
int i, x;
Num[a] = ++cnt;
for(i=0;i<17;i++){
par[a][i+1]=par[par[a][i]][i];
pL[a][i+1]=max(pL[a][i],pL[par[a][i]][i]);
}
for(i=0;i<T[a].size();i++){
x = T[a][i];
if(x==pp)continue;
Dep[x] = Dep[a] + 1;
par[x][0] = a;
pL[x][0] = L[a][i];
DFS(x,a);
}
Ed[a] = cnt;
}
vector<pii> V;
int LCA(int a, int b){
if(Dep[a]<Dep[b])return LCA(b,a);
int d = Dep[a]-Dep[b], i = 0;
while(d){
if(d&1)a = par[a][i];
i++;d>>=1;
}
for(i=16;i>=0;i--)if(par[a][i]!=par[b][i])a=par[a][i],b=par[b][i];
if(a!=b)a=par[a][0];
return a;
}
int Cur;
vector<Edge>EE;
Edge Get(int a, int p){
int d = Dep[a] - Dep[p], i = 0, M = 0, aa = a;
while(d){
if(d&1){
M = max(M,pL[a][i]);
a = par[a][i];
}
d>>=1;i++;
}
return {aa,p,M};
}
void Make(int a){
int x = V[a].second;
Cur++;
while(1){
if(Cur==V.size() || V[Cur].first > Ed[x])break;
EE.push_back(Get(V[Cur].second,x));
Make(Cur);
}
}
long long GetMST(){
int i;
for(i=0;i<V.size();i++)UF[V[i].second] = V[i].second;
long long ss = 0;
for(i=0;i<EE.size();i++){
if(Merge(EE[i].a,EE[i].b)){
ss += EE[i].c;
}
}
return ss;
}
void Do(int a, vector<int> &P){
int i;
vector<pii> TP;
for(i=0;i<P.size();i++)TP.push_back({Num[P[i]],P[i]});
sort(TP.begin(),TP.end());
V = TP;
for(i=0;i<TP.size()-1;i++){
int x = LCA(TP[i].second, TP[i+1].second);
V.push_back(pii(Num[x],x));
}
sort(V.begin(),V.end());
V.erase(unique(V.begin(),V.end()),V.end());
Cur = 0;
Make(0);
sort(EE.begin(),EE.end());
long long s1 = GetMST() + E[a].size()* (long long)2e9;
for(i=0;i<EE.size();i++)if(EE[i].c < 0)EE[i].c += 2e9;
sort(EE.begin(),EE.end());
long long s2 = GetMST();
printf("%lld\n", S + s1 - s2);
}
int main(){
int i, j;
scanf("%d%d",&n,&m);
for(i=1;i<=n;i++)UF[i] = i;
for(i=0;i<m;i++){
scanf("%d%d%d",&w[i].a,&w[i].b,&w[i].c);
}
sort(w,w+m);
for(i=0;i<m;i++){
E[w[i].a].push_back(i);
E[w[i].b].push_back(i);
if(Merge(w[i].a,w[i].b)){
T[w[i].a].push_back(w[i].b);
T[w[i].b].push_back(w[i].a);
L[w[i].a].push_back(w[i].c);
L[w[i].b].push_back(w[i].c);
S += w[i].c;
}
}
DFS(1, 0);
for(i=1;i<=n;i++){
vector<int>P;
EE.clear();
for(j=0;j<E[i].size();j++){
Edge tp = w[E[i][j]];
tp.c -= 2e9;
EE.push_back(tp);
P.push_back(tp.a+tp.b-i);
}
P.push_back(i);
Do(i, P);
}
}
Compilation message
LM.cpp: In function 'void DFS(int, int)':
LM.cpp:33:14: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
for(i=0;i<T[a].size();i++){
^
LM.cpp: In function 'void Make(int)':
LM.cpp:72:15: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
if(Cur==V.size() || V[Cur].first > Ed[x])break;
^
LM.cpp: In function 'long long int GetMST()':
LM.cpp:79:14: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
for(i=0;i<V.size();i++)UF[V[i].second] = V[i].second;
^
LM.cpp:81:14: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
for(i=0;i<EE.size();i++){
^
LM.cpp: In function 'void Do(int, std::vector<int>&)':
LM.cpp:91:14: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
for(i=0;i<P.size();i++)TP.push_back({Num[P[i]],P[i]});
^
LM.cpp:94:14: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
for(i=0;i<TP.size()-1;i++){
^
LM.cpp:104:14: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
for(i=0;i<EE.size();i++)if(EE[i].c < 0)EE[i].c += 2e9;
^
LM.cpp: In function 'int main()':
LM.cpp:132:18: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
for(j=0;j<E[i].size();j++){
^
LM.cpp:111:24: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
scanf("%d%d",&n,&m);
^
LM.cpp:114:48: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
scanf("%d%d%d",&w[i].a,&w[i].b,&w[i].c);
^
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
6 ms |
29272 KB |
Output is correct |
2 |
Correct |
6 ms |
29272 KB |
Output is correct |
3 |
Correct |
6 ms |
29272 KB |
Output is correct |
4 |
Correct |
6 ms |
29272 KB |
Output is correct |
5 |
Correct |
6 ms |
29272 KB |
Output is correct |
6 |
Correct |
9 ms |
29272 KB |
Output is correct |
7 |
Correct |
6 ms |
29272 KB |
Output is correct |
8 |
Correct |
6 ms |
29272 KB |
Output is correct |
9 |
Correct |
0 ms |
29420 KB |
Output is correct |
10 |
Correct |
9 ms |
29272 KB |
Output is correct |
11 |
Correct |
3 ms |
29272 KB |
Output is correct |
12 |
Correct |
6 ms |
29272 KB |
Output is correct |
13 |
Correct |
6 ms |
29424 KB |
Output is correct |
14 |
Correct |
6 ms |
29272 KB |
Output is correct |
15 |
Correct |
6 ms |
29272 KB |
Output is correct |
16 |
Correct |
6 ms |
29272 KB |
Output is correct |
17 |
Correct |
6 ms |
29272 KB |
Output is correct |
18 |
Correct |
6 ms |
29272 KB |
Output is correct |
19 |
Correct |
6 ms |
29272 KB |
Output is correct |
20 |
Correct |
9 ms |
29272 KB |
Output is correct |
21 |
Correct |
9 ms |
29272 KB |
Output is correct |
22 |
Correct |
6 ms |
29272 KB |
Output is correct |
23 |
Correct |
9 ms |
29272 KB |
Output is correct |
24 |
Correct |
0 ms |
29272 KB |
Output is correct |
25 |
Correct |
0 ms |
29140 KB |
Output is correct |
26 |
Correct |
3 ms |
29140 KB |
Output is correct |
27 |
Correct |
3 ms |
29140 KB |
Output is correct |
28 |
Correct |
3 ms |
29272 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
953 ms |
41284 KB |
Output is correct |
2 |
Correct |
1008 ms |
41284 KB |
Output is correct |
3 |
Correct |
1029 ms |
41284 KB |
Output is correct |
4 |
Correct |
996 ms |
41284 KB |
Output is correct |
5 |
Correct |
936 ms |
41284 KB |
Output is correct |
6 |
Correct |
923 ms |
43904 KB |
Output is correct |
7 |
Correct |
926 ms |
42288 KB |
Output is correct |
8 |
Correct |
1002 ms |
43924 KB |
Output is correct |
9 |
Correct |
903 ms |
48572 KB |
Output is correct |
10 |
Correct |
1026 ms |
45168 KB |
Output is correct |
11 |
Correct |
906 ms |
47160 KB |
Output is correct |
12 |
Correct |
889 ms |
46132 KB |
Output is correct |
13 |
Correct |
993 ms |
42612 KB |
Output is correct |
14 |
Correct |
826 ms |
43576 KB |
Output is correct |
15 |
Correct |
919 ms |
45920 KB |
Output is correct |
16 |
Correct |
1139 ms |
40912 KB |
Output is correct |
17 |
Correct |
1159 ms |
41804 KB |
Output is correct |
18 |
Correct |
1103 ms |
41168 KB |
Output is correct |
19 |
Correct |
1059 ms |
40744 KB |
Output is correct |
20 |
Correct |
1149 ms |
41612 KB |
Output is correct |
21 |
Correct |
1193 ms |
40864 KB |
Output is correct |
22 |
Correct |
1189 ms |
40968 KB |
Output is correct |
23 |
Correct |
1116 ms |
41320 KB |
Output is correct |
24 |
Correct |
1053 ms |
40752 KB |
Output is correct |
25 |
Correct |
6 ms |
29272 KB |
Output is correct |
26 |
Correct |
6 ms |
29272 KB |
Output is correct |
27 |
Correct |
6 ms |
29272 KB |
Output is correct |
28 |
Correct |
6 ms |
29272 KB |
Output is correct |
29 |
Correct |
6 ms |
29272 KB |
Output is correct |
30 |
Correct |
9 ms |
29272 KB |
Output is correct |
31 |
Correct |
6 ms |
29272 KB |
Output is correct |
32 |
Correct |
6 ms |
29272 KB |
Output is correct |
33 |
Correct |
0 ms |
29420 KB |
Output is correct |
34 |
Correct |
9 ms |
29272 KB |
Output is correct |
35 |
Correct |
3 ms |
29272 KB |
Output is correct |
36 |
Correct |
6 ms |
29272 KB |
Output is correct |
37 |
Correct |
6 ms |
29424 KB |
Output is correct |
38 |
Correct |
6 ms |
29272 KB |
Output is correct |
39 |
Correct |
6 ms |
29272 KB |
Output is correct |
40 |
Correct |
6 ms |
29272 KB |
Output is correct |
41 |
Correct |
6 ms |
29272 KB |
Output is correct |
42 |
Correct |
6 ms |
29272 KB |
Output is correct |
43 |
Correct |
6 ms |
29272 KB |
Output is correct |
44 |
Correct |
9 ms |
29272 KB |
Output is correct |
45 |
Correct |
9 ms |
29272 KB |
Output is correct |
46 |
Correct |
6 ms |
29272 KB |
Output is correct |
47 |
Correct |
9 ms |
29272 KB |
Output is correct |
48 |
Correct |
0 ms |
29272 KB |
Output is correct |
49 |
Correct |
0 ms |
29140 KB |
Output is correct |
50 |
Correct |
3 ms |
29140 KB |
Output is correct |
51 |
Correct |
3 ms |
29140 KB |
Output is correct |
52 |
Correct |
3 ms |
29272 KB |
Output is correct |