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#include <bits/stdc++.h>
using namespace std;
int bfs(int source, vector<bool>&visited, vector<int> adj[], int* cost){
visited[source] = true;
queue<int>q;
int mini = INT_MAX;
q.push(source);
while(!q.empty()){
int node = q.front();
if(cost[node] >= 0) mini = min(cost[node], mini);
q.pop();
for(int nbr: adj[node]){
if(!visited[nbr]){
visited[nbr] = true;
q.push(nbr);
}
}
}
return mini;
}
int32_t main(){
int n, m; cin>>n>>m;
vector<int> adj[n];
while(m--){
int u, v; cin>>u>>v; u--; v--;
adj[u].push_back(v);
adj[v].push_back(u);
}
int cost[n];
vector<int>pays;
for(int i = 0; i<n ;i++) cin>>cost[i];
vector<bool>visited(n, false);
for(int i = 0; i<n; i++){
if(!visited[i]){
pays.push_back(bfs(i, visited, adj, cost));
}
}
int Size = pays.size();
if(Size == 1){
cout<<0;
}else if(Size == 2){
if(pays[0] == INT_MAX || pays[1] == INT_MAX){
cout<<"-1";
return 0;
}
cout<<pays[0] + pays[1];
}else{
int ans = 0;
int Min = INT_MAX;
for(int x: pays){
if(x == INT_MAX){
cout<<"-1"; return 0;
}
ans += x;
Min = min(x, Min);
}
ans -= Min;
ans += (Size-1)*Min;
cout<<ans;
}
}
#include<bits/stdc++.h>
#define num 1000000007
#define mod 998244353
#define print(x) for(auto i:x) cout<<i<<" ";cout<<endl;
#define printa(x,st,en) for(ll i=st;i<en;i++) cout<<x[i]<<" ";cout<<endl;
#define mp make_pair
#define printm(x) for(auto i:x) cout<<i->first<<"*"<<i->second<<" ";cout<<endl;
#define pq priority_queue
#define minpq(type) pq<type,vector<type>,greater<type> >
#define printp(p) for(auto i:p) cout<<i.first<<"*"<<i.second<<" ";cout<<endl;
#define mem(a) memset(a,0,sizeof(a))
#define allof(a) a.begin(),a.end()
#define loop(i,start,end) for(ll i=start;i<end;i++)
#define deloop(i,start,end) for(ll i=start;i>end;i--)
#define testing cout<<"Test"<<endl;
#define prints(a) cout<<a<<endl;
#define vl vector<ll>
#define vb vector<bool>
#define vvl vector< vector<ll> >
#define pb push_back
#define pll pair<ll,ll>
#define vpll vector< pair<ll,ll> >
#define enter(a,begin,end) for(ll i=begin;i<end;i++) cin>>a[i];
typedef long long int ll;
using namespace std;
ll mul(ll x,ll y){
return ((x%mod)*(y%mod))%mod;
}
ll powers(ll x,ll p){
x=x%mod;
if(p==0) return 1;
if(p==1) return x%mod;
ll z=powers(x,p/2);
if(p%2) return mul(x,mul(z,z));
return mul(z,z);
}
ll dividing(ll x,ll y){
return mul(x,powers(y,mod-2));
}
ll max(ll a,ll b){
return a>b?a:b;
}
ll min(ll a,ll b){
return a<b?a:b;
}
void dfs(vvl &g,ll cur,vl &vis, ll &mini,vl &c){
vis[cur]=1;
if(c[cur]>=0){
if(mini==-1) mini=c[cur];
else mini=min(mini,c[cur]);
}
for(auto i:g[cur]){
if(!vis[i]) dfs(g,i,vis,mini,c);
}
}
void solve(){
ll n,m;
cin>>n>>m;
vvl g(n+1);
vl c(n+1);
ll x,y;
loop(i,0,m){
cin>>x>>y;
g[x].pb(y);
g[y].pb(x);
}
loop(i,1,n+1) cin>>c[i];
// print(c);
vl vis(n+1,0);
ll mini;
vl ans;
loop(i,1,n+1){
mini=-1;
if(!vis[i]){
dfs(g,i,vis,mini,c);
ans.pb(mini);
}
}
sort(ans.begin(),ans.end());
if(ans.size()==1){
cout<<"0"<<endl;
return;
}
if(ans[0]<0){
cout<<"-1"<<endl;
return;
}
ll tot=(ans.size()-1)*ans[0];
loop(i,1,ans.size()) tot+=ans[i];
cout<<tot<<endl;
}
int main(){
ios_base::sync_with_stdio(false);
cin.tie(NULL);
// freopen("input.txt","r",stdin);
ll t=1;
// cin>>t;
while(t--) solve();
return 0;
}
from collections import defaultdict
from collections import Counter
import sys,threading
sys.setrecursionlimit(5*(10**5))
threading.stack_size(10**8)
MAX=1000000007
# 1<<3=2**3
class dsu:
def __init__(self,n):
self.parent=[i for i in range(n+1)]
self.size=[0]*(n+1)
def start(self):
for i in range(1,n+1):
self.parent[i]=i
def find(self,x):
if x!=self.parent[x]:self.parent[x]=self.find(self.parent[x])
return self.parent[x]
def union(self,u,v):
u,v=self.find(u),self.find(v)
if u!=v:
self.parent[v]=u
def treeinput(self,m):
for i in range(m):
u,v=map(int,input().split())
self.union(u,v)
def printt(self):
print(self.parent)
# Recusrssion handle
def main():
n,m=map(int,input().split())
d=dsu(n)
galaxy=defaultdict(list)
for i in range(m):
u,v=map(int,input().split())
d.union(u,v)
arr=[-999]
for i in range(n):
arr.append(int(input()))
for i in range(1,n+1):
galaxy[d.find(i)].append(i)
res=[]
f=1
for num in galaxy:
mn=MAX
for i in galaxy[num]:
if arr[i]>=0:
mn=min(mn,arr[i])
if mn==MAX:f=0;break
res.append(mn)
if len(galaxy)==1:print(0)
elif not f:print(-1)
else:
cnt,mn,sm=-2,MAX,0
for i in res:
mn=min(mn,i)
cnt+=1
sm+=i
print(mn*cnt+sm)
t=threading.Thread(target=main)
t.start()
t.join()
#include <stdio.h>
#define NMAX 100100
#define INF 1000000000
int parent[NMAX], cmin[NMAX], size[NMAX];
int N, M, C, ncc, i, j, k, sum, Cmin;
int Find(int x) {
int tx, rx;
tx = x;
while (parent[tx] > 0)
tx = parent[tx];
while (x != tx) {
rx = parent[x];
parent[x] = tx;
x = rx;
}
return tx;
}
void Union(int i, int j) {
int ti = Find(i), tj = Find(j);
if (ti == tj)
return;
ncc--;
if (size[ti] >= size[tj]) {
parent[tj] = ti;
size[ti] += size[tj];
} else {
parent[ti] = tj;
size[tj] += size[ti];
}
}
int main() {
//freopen("x.txt", "r", stdin);
scanf("%d %d", &N, &M);
ncc = N;
for (i = 1; i <= N; i++) {
cmin[i] = -1;
parent[i] = 0;
size[i] = 1;
}
for (k = 1; k <= M; k++) {
scanf("%d %d", &i, &j);
Union(i, j);
}
if (ncc == 1) {
printf("0\n");
return 0;
}
for (i = 1; i <= N; i++) {
scanf("%d", &C);
if (C < 0)
continue;
j = Find(i);
if (cmin[j] < 0 || C < cmin[j])
cmin[j] = C;
}
sum = 0;
Cmin = INF;
for (i = 1; i <= N; i++) {
if (parent[i] > 0)
continue;
if (cmin[i] < 0) {
printf("-1\n");
return 0;
}
sum += cmin[i];
if (cmin[i] < Cmin)
Cmin = cmin[i];
}
printf("%d\n", sum + (ncc - 2) * Cmin);
return 0;
}
import java.io.*;
import java.util.Scanner;
import java.util.Stack;
import java.util.StringTokenizer;
import java.util.Vector;
class GalactikFootball {
static class Reader {
final private int BUFFER_SIZE = 1 << 16;
private DataInputStream din;
private byte[] buffer;
private int bufferPointer, bytesRead;
public Reader()
{
din = new DataInputStream(System.in);
buffer = new byte[BUFFER_SIZE];
bufferPointer = bytesRead = 0;
}
public Reader(String file_name) throws IOException
{
din = new DataInputStream(
new FileInputStream(file_name));
buffer = new byte[BUFFER_SIZE];
bufferPointer = bytesRead = 0;
}
public String readLine() throws IOException
{
byte[] buf = new byte[64]; // line length
int cnt = 0, c;
while ((c = read()) != -1) {
if (c == '\n') {
if (cnt != 0) {
break;
}
else {
continue;
}
}
buf[cnt++] = (byte)c;
}
return new String(buf, 0, cnt);
}
public int nextInt() throws IOException
{
int ret = 0;
byte c = read();
while (c <= ' ') {
c = read();
}
boolean neg = (c == '-');
if (neg)
c = read();
do {
ret = ret * 10 + c - '0';
} while ((c = read()) >= '0' && c <= '9');
if (neg)
return -ret;
return ret;
}
public long nextLong() throws IOException
{
long ret = 0;
byte c = read();
while (c <= ' ')
c = read();
boolean neg = (c == '-');
if (neg)
c = read();
do {
ret = ret * 10 + c - '0';
} while ((c = read()) >= '0' && c <= '9');
if (neg)
return -ret;
return ret;
}
public double nextDouble() throws IOException
{
double ret = 0, div = 1;
byte c = read();
while (c <= ' ')
c = read();
boolean neg = (c == '-');
if (neg)
c = read();
do {
ret = ret * 10 + c - '0';
} while ((c = read()) >= '0' && c <= '9');
if (c == '.') {
while ((c = read()) >= '0' && c <= '9') {
ret += (c - '0') / (div *= 10);
}
}
if (neg)
return -ret;
return ret;
}
private void fillBuffer() throws IOException
{
bytesRead = din.read(buffer, bufferPointer = 0,
BUFFER_SIZE);
if (bytesRead == -1)
buffer[0] = -1;
}
private byte read() throws IOException
{
if (bufferPointer == bytesRead)
fillBuffer();
return buffer[bufferPointer++];
}
public void close() throws IOException
{
if (din == null)
return;
din.close();
}
}
static int min(int ...a) {
int m = a[0];
for(int i = 0; i < a.length; i++) {
if(a[i] < m) m = a[i];
}
return m;
}
static int max(int ...a) {
int m = a[0];
for(int i = 0; i < a.length; i++) {
if(a[i] > m) m = a[i];
}
return m;
}
static long solve(Vector<Integer> graph[], Vector<Integer> values) {
int n = values.size();
long total = 0;
int minValueOverall = Integer.MAX_VALUE;
Stack<Integer> st = new Stack<>();
Vector<Boolean> visited = new Vector<>();
Boolean flag = false;
int count = 0;
for(int i = 0; i < n; i++) {
visited.add(false);
}
//DFS
for(int i = 0; i < n; i++) {
if(visited.get(i)) continue;
visited.set(i, true);
st.push(i);
count++;
int minCost = Integer.MAX_VALUE;
while(!st.isEmpty()) {
int node = st.peek();
st.pop();
if(values.get(node) >= 0) {
minCost = min(minCost, values.get(node));
}
for(int j = 0; j < graph[node].size(); j++) {
int tempNode = graph[node].get(j);
if(visited.get(tempNode)) continue;
visited.set(tempNode, true);
st.push(tempNode);
}
}
if(minCost == Integer.MAX_VALUE) {
flag = true;
} else {
total += minCost;
minValueOverall = min(minValueOverall, minCost);
}
}
if(count > 1 && flag) return -1;
else if(count <= 1) return 0;
// System.out.print("ttl " + total + " min ovl" + minValueOverall + " cnt:" + count);
long finalTotal = total - minValueOverall + minValueOverall*(count - 1);
return finalTotal;
}
public static void main(String[] args) throws IOException {
Reader inpt = new Reader();
BufferedWriter output = new BufferedWriter(
new OutputStreamWriter(System.out));
int n = inpt.nextInt();
int m = inpt.nextInt();
Vector<Integer> graph[] = new Vector[n];
Vector<Integer> values = new Vector<>();
for(int i = 0; i < n; i++) {
graph[i] = new Vector<>();
}
for(int i = 0; i < m; i++) {
int temp1 = inpt.nextInt();
int temp2 = inpt.nextInt();
temp1--;
temp2--;
graph[temp1].add(temp2);
graph[temp2].add(temp1);
}
for(int i = 0; i < n; i++) {
int temp1 = inpt.nextInt();
values.add(temp1);
}
long count = solve(graph, values);
output.write(String.valueOf(count));
output.flush();
}
}
from collections import defaultdict as dd
import sys
sys.setrecursionlimit(10**8)
def dfs(u):
global c,d,vis,minval
for v in d[u]:
if vis[v]!=1:
#print(v)
vis[v]=1
if c[v]>=0:
minval=min(minval,c[v])
dfs(v)
return
n,m = map(int,input().split())
d=dd(list)
for _ in range(m):
a,b=map(int,input().split())
d[a].append(b)
d[b].append(a)
#print(d)
c=dd(int)
for i in range(1,n+1):
c[i]=int(input())
vis=dd(int)
s=0
grp=0
flag=0
globalmin=100000
for t in range(1,n+1):
if vis[t]!=1:
#print(t)
vis[t]=1
minval=100000
if c[t]>=0:
minval=c[t]
dfs(t)
if minval==100000:
flag=1
s=s+minval
globalmin=min(globalmin,minval)
grp=grp+1
#print(grp)
if grp==1:
print(0)
elif flag==1:
print(-1)
elif s>=0:
print((grp-2)*globalmin+s)
st = raw_input().split()
N = int(st[0])
M = int(st[1])
G = [[x,-1] for x in range(N+1)]
for k in range(M):
st = raw_input().split()
A = int(st[0])
B = int(st[1])
if A > B:
A,B = B,A
# endif
p = G[A][0]
while G[p][0] <> p:
p = G[p][0]
# endwhile
G[A][0] = p
bp = G[B][0]
if bp <> p:
G[B][0] = p
while G[bp][0] <> bp:
bp = G[bp][0]
# endwhile
G[bp][0] = p
# endif
# endfor k
for k in range(1,N+1):
C = int(raw_input())
if C >= 0:
p = G[k][0]
while G[p][0] <> p:
p = G[p][0]
# endwhile
if (G[p][1] == -1) or (G[p][1] > C):
G[p][1] = C
# endif
# endif
# endfor k
L = []
tot = 0
mi = 0
for k in range(1,N+1):
if G[k][0] == k:
v = G[k][1]
if v == -1:
mi += 1
# endif
L.append(v)
tot += v
# endif
# endfor k
if len(L) == 1:
r = 0
else:
if mi > 0:
r = -1
else:
r = tot
L.sort()
v = L[0]*(len(L)-2)
r += v
# endif
# endif
print r
using System;
using System.Collections.Generic;
namespace C
{
class T
{
class Subset
{
public int parent;
public int rank;
public int minC;
}
static int find(Subset[] subsets, int i)
{
if (subsets[i].parent != i)
subsets[i].parent = find(subsets, subsets[i].parent);
return subsets[i].parent;
}
static void union(Subset[] subsets, int x, int y)
{
int xRoot = find(subsets, x);
int yRoot = find(subsets, y);
if (xRoot == yRoot)
{
return;
}
if (subsets[xRoot].rank < subsets[yRoot].rank)
{
subsets[xRoot].parent = yRoot;
subsets[yRoot].minC = ( (subsets[xRoot].minC < 0) || (subsets[yRoot].minC < 0) )
? Math.Max(subsets[xRoot].minC, subsets[yRoot].minC)
: Math.Min(subsets[xRoot].minC, subsets[yRoot].minC);
}
else if (subsets[xRoot].rank > subsets[yRoot].rank)
{
subsets[yRoot].parent = xRoot;
subsets[xRoot].minC = ( (subsets[xRoot].minC < 0) || (subsets[yRoot].minC < 0) )
? Math.Max(subsets[xRoot].minC, subsets[yRoot].minC)
: Math.Min(subsets[xRoot].minC, subsets[yRoot].minC);
}
else
{
subsets[yRoot].parent = xRoot;
subsets[xRoot].rank++;
subsets[xRoot].minC = ( (subsets[xRoot].minC < 0) || (subsets[yRoot].minC < 0) )
? Math.Max(subsets[xRoot].minC, subsets[yRoot].minC)
: Math.Min(subsets[xRoot].minC, subsets[yRoot].minC);
}
}
static void Main(string[] a)
{
string[] tokens = Console.ReadLine().Split();
int N = int.Parse(tokens[0]);
int M = int.Parse(tokens[1]);
Subset[] subsets = new Subset[N + 1];
for (int i = 1; i <= N; ++i)
{
subsets[i] = new Subset();
subsets[i].parent = i;
subsets[i].rank = 0;
}
int[,] mutual = new int[M, 2];
for (int i = 0; i < M; ++i)
{
string[] ab = Console.ReadLine().Split();
mutual[i, 0] = int.Parse(ab[0]);
mutual[i, 1] = int.Parse(ab[1]);
}
for (int i = 1; i <= N; ++i)
{
subsets[i].minC = int.Parse(Console.ReadLine());
}
for (int i = 0; i < M; ++i)
{
union(subsets, mutual[i, 0], mutual[i, 1]);
}
int count = 0, min = int.MaxValue, negatives = 0;
long sum = 0;
List<int> nodes = new List<int>();
for (int i = 1; i <= N; ++i)
{
/********
Console.WriteLine(subsets[i].parent + " " + subsets[i].rank + " " +
subsets[i].minC + "\n\n");
********/
if (subsets[i].parent == i)
{
++count;
if (subsets[i].minC < 0)
{
++negatives;
if (negatives > 1)
{
Console.WriteLine(-1);
return;
}
continue;
}
sum += subsets[i].minC;
if (min > subsets[i].minC)
{
min = subsets[i].minC;
}
//nodes.Add(subsets[i].minC);
}
}
/***************/
//Console.WriteLine(answer + " " + max + " " + max2);
/***************/
if (count <= 1)
{
Console.WriteLine(0);
}
else if (negatives > 0)
{
Console.WriteLine(-1);
}
else
{
//Console.WriteLine(totalTax(nodes, count));
Console.WriteLine(sum + (count - 2) * min);
}
}
}
}
/*
Sample
Input 1
6 6
1 2
2 3
1 3
4 5
5 6
4 6
1
3
5
2
4
6
Output 1
3
Input 2
3 1
2 3
1
-1
-1
Output 2
-1
*/
var inputBuffer = "";
process.stdin.setEncoding('utf8');
process.stdin.on('data', function (chunk) {
if (chunk.indexOf('\n') < 0) {
inputBuffer += chunk;
} else {
var lines = chunk.split(/\r\n|\n/);
var nLastLineIndex = lines.length - 1;
inputBuffer += lines[0];
processInputTextLine(inputBuffer);
for (var i = 1; i < nLastLineIndex; i++) {
processInputTextLine(lines[i]);
}
inputBuffer = lines[nLastLineIndex];
}
});
process.stdin.once('end', function () {
if (inputBuffer.length > 0) {
processInputTextLine(inputBuffer);
}
});
var lineNum = 0;
var N, M;
var unionFinder;
var taxes;
function main() {
var connectedComponentMinCost = new Array(N);
var connectedComponentCount = 0;
var answer = 0;
var i;
for (i = 0; i < N; i++) {
var root = unionFinder.root(i);
var minCost = connectedComponentMinCost[root];
if (minCost == null) {
connectedComponentCount++;
}
if (minCost == null || taxes[i] >= 0 && (minCost < 0 || minCost > taxes[i])) {
connectedComponentMinCost[root] = taxes[i];
}
}
if (connectedComponentCount > 1) {
var globalMinCost = Infinity; // center of star
for (i = 0; i < N; i++) {
var minCost = connectedComponentMinCost[i];
if (minCost != null) {
if (minCost < 0) {
answer = -1;
break;
}
answer += minCost;
if (globalMinCost > minCost) {
globalMinCost = minCost;
}
}
}
if (answer > 0 && connectedComponentCount > 2) {
answer += globalMinCost * (connectedComponentCount - 2)
}
}
console.log(answer);
}
function processInputTextLine(textLine) {
if (lineNum == 0) {
var splitted = textLine.split(/\s+/);
N = parseInt(splitted[0]);
M = parseInt(splitted[1])
unionFinder = new QuickUnionFind(N);
taxes = new Array(N);
} else if (lineNum <= M) {
var splitted = textLine.split(/\s+/);
unionFinder.unite(parseInt(splitted[0]) - 1, parseInt(splitted[1]) - 1);
} else if (lineNum <= M + N) {
taxes[lineNum - M - 1] = parseInt(textLine);
if (lineNum == M + N) {
main();
}
}
lineNum++;
}
function QuickUnionFind(nVertices) {
this.parentOf = new Array(nVertices);
this.connectedComponentSize = new Array(nVertices);
for (var i = 0; i < nVertices; i++) {
this.parentOf[i] = i;
this.connectedComponentSize[i] = 1;
}
}
QuickUnionFind.prototype.root = function (k) {
// loop to assign the grand parent to be the parent of k, so that we get the root of k
while (k != this.parentOf[k]) {
this.parentOf[k] = this.parentOf[this.parentOf[k]]; // path compression improvement
k = this.parentOf[k];
}
return k;
};
QuickUnionFind.prototype.unite = function (nodeIndex1, nodeIndex2) {
var r1 = this.root(nodeIndex1);
var r2 = this.root(nodeIndex2);
if (r1 != r2) {
var ccSize1 = this.connectedComponentSize[r1];
var ccSize2 = this.connectedComponentSize[r2];
var ccUnitedSize = ccSize1 + ccSize2;
if (ccSize1 <= ccSize2) { // weighted tree size improvement
this.parentOf[r1] = r2;
this.connectedComponentSize[r2] = ccUnitedSize;
} else {
this.parentOf[r2] = r1;
this.connectedComponentSize[r1] = ccUnitedSize;
}
return true;
}
return false;
};
package main
import (
"bufio"
"fmt"
"os"
)
type node struct {
visited bool
edges []*node
cost int
}
func main() {
scanner := bufio.NewScanner(os.Stdin)
scanner.Split(bufio.ScanWords)
scanner.Scan()
n := toInt(scanner.Bytes())
scanner.Scan()
m := toInt(scanner.Bytes())
graph := make([]node, n)
for i := 0; i < n; i++ {
graph[i] = node{false, nil, 0}
}
for i := 0; i < m; i++ {
scanner.Scan()
u := toInt(scanner.Bytes()) - 1
scanner.Scan()
v := toInt(scanner.Bytes()) - 1
// fmt.Println("u v", u, v)
edges := graph[u].edges
edges = append(edges, &graph[v])
graph[u].edges = edges
edges = graph[v].edges
edges = append(edges, &graph[u])
graph[v].edges = edges
}
for i := 0; i < n; i++ {
scanner.Scan()
graph[i].cost = toInt(scanner.Bytes())
if graph[i].cost < 0 {
graph[i].cost = 10001
// fmt.Println("yes", i+1)
}
}
flag := false
mins := make([]int, 1)
globalmin := 10000
for i := 0; i < n; i++ {
// fmt.Println(i+1, "node", graph[i].visited)
if !graph[i].visited {
min, count := DFSUtil(&graph[i], graph[i].cost, 0)
// fmt.Println("node ", i+1, min, count)
if min == 10001 && count < n {
flag = true
break
}
mins = append(mins, min)
if min < globalmin {
globalmin = min
}
mins[len(mins)-1] += mins[len(mins)-2]
}
}
if flag {
fmt.Println(-1)
} else if len(mins) == 2 {
fmt.Println(0)
} else if len(mins) == 3 {
fmt.Println(mins[2])
} else {
fmt.Println(mins[len(mins)-1] + globalmin*(len(mins)-3))
}
}
func DFSUtil(current *node, min int, count int) (int, int) {
current.visited = true
count++
if current.cost < min {
min = current.cost
}
// Recur for all the vertices
// adjacent to this vertex
for i := 0; i < len(current.edges); i++ {
adj := current.edges[i]
if !adj.visited {
min, count = DFSUtil(adj, min, count)
}
}
return min, count
}
func toInt(buf []byte) (n int) {
negative := false
if buf[0] == '-' {
negative = true
for i := 1; i < len(buf); i++ {
n = n*10 + int(buf[i]-'0')
}
} else {
for i := 0; i < len(buf); i++ {
n = n*10 + int(buf[i]-'0')
}
}
if negative {
n = -n
}
return
}
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