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++: #include <vector>
#include <iostream>
#include <limits>
#include <queue>
#include <utility>

using namespace std;


struct edge {
    int src;
    int dst;
    int weight;

    edge(int src, int dst, int w) : src(src), dst(dst), weight(w) {}
};

bool operator < (const edge &a, const edge &b) {
  return a.weight > b.weight;
}


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

    vector<vector<edge>> G(n);
    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[u].emplace_back(u, v, c);
        }
    }

    // Dijkstra's algorithm (with pritority queue)
    vector<int> d(n, numeric_limits<int>::max());
    vector<bool> visited(n, false);
    priority_queue<edge> Q;

    Q.emplace(-1, 0, 0);
    d[0] = 0;
    while (!Q.empty()) {
        auto e = Q.top(); Q.pop();
        visited[e.dst] = true;
        if (d[e.dst] < e.weight)
            continue;

        for (auto& x : G[e.dst]) {
            if (visited[x.dst])
                continue;
            int w = x.weight + d[e.dst];
            if (w < d[x.dst]) {
                d[x.dst] = w;
                Q.emplace(e.dst, x.dst, w);
            }
        }
    }

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

    return 0;
}

C++: #include <cstdio>
#include <queue>
#include <algorithm>
#include <utility>
#include <vector>
#include <functional>
using namespace std;

typedef pair<int,int> pii;

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

	vector<int> d(n, 1 << 30);
	d[0] = 0;
	priority_queue<pii,vector<pii>,greater<pii> > pq;
	pq.push(pii(0, 0));
	while(!pq.empty()){
		int c = pq.top().first;
		int u = pq.top().second;
		if(d[u] != c){ continue; }
		for(int i = 0; i < G[u].size(); ++i){
			int b = c + G[u][i].first;
			int v = G[u][i].second;
			if(d[v] > b){
				d[v] = b;
				pq.push(pii(b, v));
			}
		}
	}
	
	for(int i = 0; i < n; ++i){
		printf("%d %d\n", i, d[i]);
	}
}

C++: #include<algorithm>
#include<iostream>
#include<cstdlib>
#include<cstring>
#include<cstdio>
#include<vector>
#include<queue>
#include<stack>
#include<cmath>
#include<list>
#include<map>
#include<set>
using namespace std;
 
typedef vector<int> VI;
typedef vector<VI> VVI;
typedef vector<string> VS;
typedef stack<int> SI;
typedef queue<int> QI;
typedef pair<int,int> PII;
typedef long long LL;
 
#define d(x)  cout<<#x<<" = "<<(x)<<endl;
#define ALL(a)  (a).begin(),(a).end()
#define RALL(a) (a).rbegin(), (a).rend()
#define PB push_back
#define MP make_pair
#define EMP empty()
#define SZ(a) int((a).size())
#define EACH(i,c) for(typeof((c).begin()) i=(c).begin(); i!=(c).end(); ++i)
#define REACH(i,c) for(typeof((c).rbegin()) i=(c).rbegin(); i!=(c).rend(); ++i)
#define EXIST(s,e) ((s).find(e)!=(s).end())
#define SORT(c,n) sort(c,c+n)
#define VSORT(c) sort((c).begin(),(c).end())
#define FOR(i,a,b) for(int i=(a);i<(b);++i)
#define REP(i,n)  FOR(i,0,n)
#define DFOR(i,b,a) for(int i=(b)-1;i>=(a);--i)
#define DREP(i,n) DFOR(i,n,0)
#define INF 1000000000
 
const double EPS = 1e-10;
const double PI  = acos(-1.0);
////////////////////////////////////////////////
static const int MAX=10000;
static const int WHITE=0;
static const int GRAY=1;
static const int BLACK=2;
 
int n;
vector<PII> adj[MAX];
void dijkstra()
{
    priority_queue<PII> PQ;
    int color[MAX];
    int d[MAX];
    REP(i,n)
    {
        d[i]=INF;
        color[i]=WHITE;
    }
     
    d[0]=0;
    PQ.push(MP(0,0));
    color[0]=GRAY;
     
    while(!PQ.EMP)
    {
        PII f=PQ.top();
        PQ.pop();
        int u=f.second;
        color[u]=BLACK;
         
        if(d[u]<f.first*(-1))continue;
         
        REP(j,SZ(adj[u]))
        {
            int v=adj[u][j].first;
            if(color[v]==BLACK)continue;
            if(d[v]>d[u]+adj[u][j].second)
            {
                d[v]=d[u]+adj[u][j].second;
                PQ.push(MP(d[v]*(-1),v));
                color[v]=GRAY;
            }
        }
    }
    REP(i,n)
    {
        cout<<i<<" "<<(d[i]==INF?-1:d[i])<<endl;
    }
}
 
int main()
{
    int k,u,c,v;
    cin>>n;
    REP(i,n)
    {
        cin>>u>>k;
        REP(j,k)
        {
            cin>>v>>c;
            adj[u].PB(MP(v,c));
        }
    }
     
    dijkstra();
     
    return 0;
}