Go: package main

import (
	"bufio"
	"fmt"
	"io"
	"os"
	"strconv"
)

const (
	MAX_N      = 10000
	MAX_WEIGHT = 100000
)

type Edge struct {
	start  int
	end    int
	weight int
}

type ShortestInfo struct {
	edges    []Edge
	shortest int
}

func main() {
	doMain(os.Stdin)
}

func doMain(reader io.Reader) {
	sc := bufio.NewScanner(reader)
	sc.Split(bufio.ScanWords)

	n, err := nextInt(sc)
	if err != nil {
		panic(err)
	}

	shortestList := make([]ShortestInfo, n)
	for i := 1; i < n; i++ {
		shortestList[i] = ShortestInfo{edges: []Edge{}, shortest: MAX_N*MAX_WEIGHT + 1}
	}

	adjacentMatrix, err := createAdjacentMatrix(n, sc)
	if err != nil {
		panic(err)
	}

	sssp([]int{0}, shortestList, adjacentMatrix)
	for _, v := range shortestList {
		fmt.Println(v.getEnd(), v.shortest)
	}
}

func (si ShortestInfo) getEnd() int {
	if len(si.edges) == 0 {
		return 0
	} else {
		return si.edges[len(si.edges)-1].end
	}
}

func createAdjacentMatrix(n int, sc *bufio.Scanner) ([][]int, error) {
	adjacentMatrix := make([][]int, n)
	for i := 0; i < n; i++ {
		id, err := nextInt(sc)
		if err != nil {
			return nil, err
		}
		adjacentMatrix[id] = make([]int, n)
		for j := 0; j < n; j++ {
			adjacentMatrix[id][j] = -1
		}
		vertexNum, err := nextInt(sc)
		if err != nil {
			return nil, err
		}
		for j := 0; j < vertexNum; j++ {
			v, err := nextInt(sc)
			if err != nil {
				return nil, err
			}
			c, err := nextInt(sc)
			if err != nil {
				return nil, err
			}
			adjacentMatrix[id][v] = c
		}
	}
	return adjacentMatrix, nil
}

func sssp(nodeStack []int, shortestList []ShortestInfo, adjacentMatrix [][]int) {
	for len(nodeStack) > 0 {
		currentNode := nodeStack[0]
		nodeStack = nodeStack[1:]
		currentShortest := getShortest(currentNode, shortestList)
		adjacents := findAdjacents(currentNode, adjacentMatrix)
		for i := 0; i < len(adjacents); i++ {
			adj := adjacents[i]
			if currentShortest.shortest+adj.weight < getShortest(adj.end, shortestList).shortest {
				setShortest(adj.end, adj, currentShortest, shortestList)
				nodeStack = append(nodeStack, adj.end)
			}
		}
	}
}

func getShortest(node int, shortestList []ShortestInfo) ShortestInfo {
	return shortestList[node]
}

func setShortest(node int, edge Edge, currentShortest ShortestInfo, shortestList []ShortestInfo) {
	newEdges := make([]Edge, len(currentShortest.edges)+1)
	for i := 0; i < len(newEdges)-1; i++ {
		newEdges[i] = currentShortest.edges[i]
	}
	newEdges[len(newEdges)-1] = edge
	shortestInfo := ShortestInfo{edges: newEdges, shortest: currentShortest.shortest + edge.weight}
	shortestList[node] = shortestInfo
}

func findAdjacents(currentNode int, adjacentMatrix [][]int) []Edge {
	adjacents := adjacentMatrix[currentNode]
	edges := []Edge{}
	for i, v := range adjacents {
		if v >= 0 {
			edges = append(edges, Edge{start: currentNode, end: i, weight: v})
		}
	}
	return edges
}

func nextInt(sc *bufio.Scanner) (int, error) {
	sc.Scan()
	return strconv.Atoi(sc.Text())
}

C++: #include <iostream>
#include <algorithm>
#include <queue>
 using namespace std;
 static const int WHITE = 0;
 static const int GRAY = 1;
 static const int BLACK =2;
 static const int MAX = 10000;
 static const int INFTY = (1<<20);
 
 int n;
 vector<pair<int,int> >adj[MAX];
 
 void dij(){
 	priority_queue<pair<int,int> >PQ;
 	int color[MAX];
 	int d[MAX];
 	for(int i=0;i<n;i++){
 		color[i] = WHITE;
 		d[i] = INFTY;
 	}
 	
 	d[0] = 0;
 	PQ.push(make_pair(0,0));
 	color[0] = GRAY;
 	while(!PQ.empty()){
 		pair<int ,int> f =PQ.top();
 		PQ.pop();
 		int u= f.second;
 		
 		color[u] = GRAY;
 		
 		if(d[u]<f.first*(-1)) continue;
 		
 		for(int j=0;j<adj[u].size();j++){
 			int v = adj[u][j].first;
 			if(color[v]==BLACK) continue;
 			if(d[v]>d[u]+adj[u][v].second){
 				d[v] = d[u]+adj[u][v].second;
 				PQ.push(make_pair(d[v]*(-1),v));
 				color[v] = GRAY;
 			}
 			
 		}
 	}
 	
 	for(int i=0;i<n;i++){
 		cout<<i<<" "<<(d[i]==INFTY?-1:d[i])<<endl; 
 	}
 }
 
 int main(){
 		cin>>n;
 	
 	int k,u,c,v;
 	for(int i=0;i<n;i++){
 		cin>>u>>k;
 		for(int j=0;j<k;j++){
 			cin>>c>>v;
 		adj[u].push_back(make_pair(c,v));
 		}
 	}
 	dij();
 	return 0;
 }

C++: #include <bits/stdc++.h>
using namespace std;
struct Graph{
  using seen_t=size_t; using ver_t=size_t; using edge_t=pair<ver_t,seen_t>;
  const seen_t NO=1e9;
  vector<seen_t> seen;
  vector<vector<edge_t>> edge;
  Graph(size_t n): seen(n,NO), edge(n) {}

  void search(ver_t v0){
    seen[v0]=0;
    priority_queue<pair<seen_t,ver_t>,vector<pair<seen_t,ver_t>>,greater<pair<seen_t,ver_t>>> que; que.push(make_pair(0,v0)); // dijkstra
    ver_t curv; seen_t alt;
    while(!que.empty()){
      curv=que.top().second; que.pop(); // dijkstra
      for(const auto& nextv:edge[curv]){
        alt=seen[curv]+nextv.second;
        if(seen[nextv.first]>alt && alt<NO){
          seen[nextv.first]=alt;
          que.push(make_pair(alt,nextv.first)); // dijkstra
        }
      }
    }
  }
};
ostream& operator<<(ostream& os, const Graph& x){
  for(size_t i=0; i<x.edge.size(); ++i){
    cout<<(i)<<' '<<x.seen[i]<<'\n';
  }
  return os;
}
int32_t main(){
  ios::sync_with_stdio(false); cin.tie(0);
  size_t n; cin>>n;
  Graph graph(n);
  size_t u,k,v,c;
  for(size_t i=0; i<n; ++i){
    cin>>u>>k;
    graph.edge[u].resize(k);
    for(size_t j=0; j<k; ++j){
      cin>>v>>c; graph.edge[u][j]=make_pair(v,c);
    }
  }
  graph.search(0);
  cout<<graph;
}

C++: #include <iostream>
#include <cstdio>
#include <cstdlib>
#include <cassert>
#include <string>
#include <cstring>
#include <vector>
#include <list>
#include <map>
#include <set>
#include <stack>
#include <queue>
#include <algorithm>

using namespace std;

// ---------------------
// repetition
#define FOR(i,a,b) for(int i=(a);i<(b);++i)
#define REP(i,n) FOR(i,0,n)

// debug
#define dump(x)  cerr << #x << " = " << (x) << endl;
#define debug(x) cerr << #x << " = " << (x) << " (L" << __LINE__ << ")" << " " << __FILE__ << endl;

// ---------------------
#define INF (1 << 21)
typedef long long ll;

int main() {
  int n;
  cin >> n;

  vector<int> V[n];
  // int E[n][n];
  map<pair<int, int>, int> E;
  int d[n];
  int visited[n];

  priority_queue<pair<int, int> , vector<pair<int, int> >, greater<pair<int, int> > > Q;

  REP(i, n) {
    d[i] = INF;
    visited[i] = 0;
  }

  REP(_, n) {
    int u, k;
    cin >> u >> k;
    REP(__, k) {
      int v, c;
      cin >> v >> c;
      V[u].push_back(v);
      E[make_pair(u, v)] = c;
    }
  }

  d[0] = 0;
  Q.push(make_pair(d[0], 0));
  REP(_, n) {
    // int minv = -1;
    // int mincost = INF;
    // REP(v, n) {
    //   if (!visited[v] && d[v] < mincost) {
    //     minv = v;
    //     mincost = d[v];
    //   }
    // }
    int mincost = Q.top().first;
    int minv = Q.top().second;

    visited[minv] = 1;
    for (vector<int>::iterator it = V[minv].begin(); it != V[minv].end(); it++) {
      if (E[make_pair(minv, *it)] < INF && d[minv] + E[make_pair(minv, *it)] < d[*it]) {
        d[*it] = d[minv] + E[make_pair(minv, *it)];
        Q.push(make_pair(d[*it], *it));
      }
    }
  }

  REP(i, n) {
    cout << i << " " << d[i] << endl;
  }
  return 0;
}