Go: package main

import (
	"bufio"
	"fmt"
	"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
}

type Neighbor struct {
	node   int
	weight int
}

func main() {
	sc := bufio.NewScanner(os.Stdin)
	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.Printf("%d %d\n", 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) ([][]Neighbor, error) {
	adjacentMatrix := make([][]Neighbor, n)
	for i := 0; i < n; i++ {
		id, err := nextInt(sc)
		if err != nil {
			return nil, err
		}
		adjacentMatrix[id] = []Neighbor{}
		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] = append(adjacentMatrix[id], Neighbor{v, c})
		}
	}
	return adjacentMatrix, nil
}

func sssp(nodeStack []int, shortestList []ShortestInfo, adjacentMatrix [][]Neighbor) {
	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 [][]Neighbor) []Edge {
	adjacents := adjacentMatrix[currentNode]
	edges := []Edge{}
	for _, neighbor := range adjacents {
		edges = append(edges, Edge{start: currentNode, end: neighbor.node, weight: neighbor.weight})
	}
	return edges
}

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

C++: #define _CRT_SECURE_NO_WARNINGS

#include<iostream>
#include<functional>
#include<algorithm>
#include<stack>
#include<queue>
#include<iomanip>
#include<set>
#include<map>
#include<utility>
#include<string>
#include<vector>

using namespace std;

#define LL long long
const int dx[4] = { 1,-1,0,0 };
const int dy[4] = { 0,0,1,-1 };
bool OOA(int x, int y, int H, int W) { return (0 <= x && x<H) && (0 <= y && y<W); }

struct Edge{
	int fr,to,val;
	bool operator < (Edge x){
		return (val<x.val);
	}
};

struct Graph {
	struct Edge {
		int fr, to, val;
		Edge(int f, int t, int v) :fr(f), to(t), val(v) {}
	};

	int V, E, t;
	vector<int>cost;
	vector<bool>vzt;
	vector<vector<pair<int,int>>>adj;//to,val
	void init(int n,int dflt) {//dflt!=0
		t = 1;
		V = n;
		adj = vector<vector<pair<int,int>>>(V + 1);
		cost = vector<int>(V + 1, dflt);
		vzt = vector<bool>(V + 1, false);
		return;
	}

	void Dijkstra(int s){
		priority_queue<pair<int,int>>pq;
		pq.push({s,0});
		cost[s]=0;
		while(!pq.empty()){
			auto now=pq.top().first,ncos=pq.top().second;
			pq.pop();
			for(int i=0;i<adj[now].size();i++){
				if(cost[adj[now][i].first]>cost[now]+adj[now][i].second){
					cost[adj[now][i].first]=cost[now]+adj[now][i].second;
					pq.push({ adj[now][i].first,cost[adj[now][i].first] });
				}
			}
		}
		return;
	}
};

int n;
Graph G;

int main() {
	cin >> n;
	G.init(n,(1<<30));
	for(int i=0;i<n;i++){
		int u,k;
		cin>>u>>k;
		for(int j=0;j<k;j++){
			int v,c;
			cin>>v>>c;
			G.adj[u].push_back({v,c});
		}
	}
	G.Dijkstra(0);
	for(int i=0;i<n;i++){
		cout<<i<<" "<<G.cost[i]<<endl;
	}
	return 0;
}

C++: #include<iostream>
#include<vector>
#include<algorithm>
#include<cstdio>
#include<cstdlib>
#include<string>
#include<sstream>
#include<cmath>
#include<numeric>
#include<map>
#include<stack>
#include<queue>
using namespace std;
int inf = 1000000000;

class node{
public:
  int to;
  int from;
  int cost;
};

int main(void) {

  int n; scanf("%d", &n);
  vector<node> v;
  for(int i=0; i<n; i++){
    int u, k;
    scanf("%d %d", &u, &k);
    for(int j=0; j<k; j++){
      int vv, c;
      scanf("%d %d", &vv, &c);
      node t;
      t.from = u;
      t.to = vv;
      t.cost = c;
      v.push_back(t);
    }
  }

  vector<int> dist(n, inf);
  vector<bool> vis(n, false);

  priority_queue< pair<int, int> > pq;
  pq.push(make_pair(0, 0));
  dist[0] = 0;
  vis[0] = true;
  while( !pq.empty() ){
    pair<int, int> pos = pq.top();
    pq.pop();

    for(int i=0; i<v.size(); i++){
      if( pos.second != v[i].from ) continue;
      // if( vis[ v[i].to ] ) continue;
      if( dist[v[i].to] < dist[v[i].from] + v[i].cost ) continue;

      dist[v[i].to] = min(dist[v[i].to], dist[v[i].from] + v[i].cost);
      pq.push(make_pair(dist[v[i].to], v[i].to));
      vis[v[i].to] = true;
    }

  }

  for(int i=0; i<n; i++){
    cout << i << " " << dist[i] << endl;
  }

  return 0;
}

// EOF

C++: #include <iostream>
#include <cstdio>
#include <vector>
#include <algorithm>
#define D_MAX 1 << 21
#define N_MAX 10000
using namespace std;

int dis[N_MAX];
int n;

struct node {
  int to;
  int cost;
  node(int to,int cost) {
    this->to = to;
    this->cost = cost;
  }
};

void dijkstra(int st,vector< vector<node*> > &nodes) {
  for(int i=0;i<n;i++) dis[i] = D_MAX;
  dis[st] = 0;
  bool visited[n]; for(int i=0;i<n;i++) visited[i] = false;
  vector<int> vertexes;
  visited[st] = true;
  vertexes.push_back(st);
  int pre_cost = 0;
  while(vertexes.size() < n) {
    // update distance list
    int v = vertexes[vertexes.size()-1];
    for(int j=0;j<nodes[v].size();j++) {
      int u = nodes[v][j]->to;
      if(visited[u]) continue;
      int cost = nodes[v][j]->cost + pre_cost;
      dis[u] = min(dis[u],cost);
    }
    // find vertex which has smallest distance.
    int next_v;
    int minimum = D_MAX;
    for(int i=0;i<n;i++) {
      if(visited[i]) continue;
      if(dis[i] < minimum) {
        minimum = dis[i];
        next_v = i;
      }
    }
    visited[next_v] = true;
    vertexes.push_back(next_v);
    pre_cost = dis[next_v];
  }
}

int main() {
  scanf("%d",&n);
  int u,k,v,c;
  vector<vector< node*> > nodes;
  nodes.resize(n);
  for(int i=0;i<n;i++) {
    scanf("%d %d",&u,&k);
    for(int j=0;j<k;j++) {
      scanf("%d %d",&v,&c);
      nodes[u].push_back(new node(v,c));
    }
  }

  // check
  /*
  for(int i=0;i<nodes.size();i++) {
    for(int j=0;j<nodes[i].size();j++) {
      printf("%2d :%2d %2d\n",i,nodes[i][j]->to,nodes[i][j]->cost);
    }
  }
  */

  dijkstra(0,nodes);
  for(int i=0;i<n;i++) {
    printf("%d %d\n",i,dis[i]);
  }
}