Go: package main

import (
	"bufio"
	"container/heap"
	"fmt"
	"os"
)

type Item struct {
	value    int // The value of the item; arbitrary.
	priority int // The priority of the item in the queue.
	// The index is needed by update and is maintained by the heap.Interface methods.
	index int // The index of the item in the heap.
}
type PriorityQueue []*Item

func (pq PriorityQueue) Len() int { return len(pq) }
func (pq PriorityQueue) Less(i, j int) bool {
	return pq[i].priority < pq[j].priority
}
func (pq PriorityQueue) Swap(i, j int) {
	pq[i], pq[j] = pq[j], pq[i]
	pq[i].index = i
	pq[j].index = j
}
func (pq *PriorityQueue) Push(x interface{}) {
	n := len(*pq)
	item := x.(*Item)
	item.index = n
	*pq = append(*pq, item)
}
func (pq *PriorityQueue) Pop() interface{} {
	old := *pq
	n := len(old)
	item := old[n-1]
	item.index = -1 // for safety
	*pq = old[0 : n-1]
	return item
}

type Q struct {
	pq *PriorityQueue
	ds map[int]int // It has always same value as pq. For random access.
}

func newQ() *Q {
	pq := new(PriorityQueue)
	heap.Init(pq)
	return &Q{
		pq: pq,
		ds: make(map[int]int),
	}
}
func (q *Q) pop() (u, d int) {
	item := heap.Pop(q.pq).(*Item)
	delete(q.ds, item.value)
	return item.value, item.priority
}
func (q *Q) get(u int) (int, bool) { // returns d
	d, ok := q.ds[u]
	return d, ok
}
func (q *Q) set(u, d int) {
	q.ds[u] = d
	for _, item := range *q.pq {
		if item.value != u {
			continue
		}

		item.priority = d
		heap.Fix(q.pq, item.index)
		return
	}
	heap.Push(q.pq, &Item{
		priority: d,
		value:    u,
	})
}
func (q *Q) len() int {
	return len(q.ds)
}

func main() {
	r := bufio.NewReader(os.Stdin)

	var n int
	fmt.Fscan(r, &n)
	cs := make([]map[int]int, n) // []v_i -> c_i
	for h := 0; h < n; h++ {
		var u, k int
		fmt.Fscan(r, &u, &k)
		m := make(map[int]int)
		for i := 0; i < k; i++ {
			var v, c int
			fmt.Fscan(r, &v, &c)
			m[v] = c
		}

		cs[u] = m
	}

	q := newQ()
	q.set(0, 0)
	visited := make(map[int]struct{})
	out := make([]int, n)

	for q.len() > 0 {
		u, d := q.pop()
		for uu, c := range cs[u] {
			// Consider the connection between u and uu.
			if _, ok := visited[uu]; ok {
				continue
			}
			dd := d + c
			if d, ok := q.get(uu); !ok || d > dd {
				q.set(uu, dd)
			}
		}

		out[u] = d
		visited[u] = struct{}{}
	}

	for u, d := range out {
		fmt.Println(u, d)
	}
}

C++: #include <iostream>
#include <queue>
#include <algorithm>
#include <vector>
#include <climits>
#define int long long
using namespace std;
typedef pair <int,int> P;
#define to first
#define co second
#define fi first
#define se second
const int INF=INT_MAX;
const int MAX_V=100000;
vector <P> G[MAX_V];
int v,d[MAX_V];
void dijk(int s){
  priority_queue <P,vector<P>,greater<P> > que;
  fill(d,d+v,INF);
  d[s]=0;
  que.push(P(0,s));
  for(;!que.empty();){
    P p=que.top(); que.pop();
    int v=p.se;
    if (d[v]<p.fi) continue;
    for(int i=0;i<(int)G[v].size();i++){
      P e=G[v][i];
      if(d[e.to]>d[v]+e.co){
	d[e.to]=d[v]+e.co;
	que.push(P(d[e.to],e.to));
      }
    }
  }
}
signed main(){

  cin>>v;
  for(int i=0,u,k;i<v&&cin>>u>>k;i++) for(int j=0,a,b;j<k&&cin>>a>>b;j++) G[u].push_back(P(a,b));
  dijk(0);
  for(int i=0;i<v;i++) cout<<i<<" "<<d[i]<<endl;
  return 0;

}

C++: #include <iostream>
#include <sstream>
#include <iomanip>
#include <algorithm>
#include <string>
#include <vector>
#include <list>
#include <queue>
#include <stack>
#include <set>
#include <map>
#include <cstdio>
#include <cstdlib>
#include <cmath>
#include <cstring>
#include <climits>

#define LP(i,n) for(int i=0;i<n;i++)
#define Mset(x,v) memset(x,v,sizeof(x))

using namespace std;
using LL=long long;

static const int MAX=100;
static const int INFTY=(1<<21);
static const int WHITE=0;
static const int GRAY=1;
static const int BLACK=2;

int n,M[MAX][MAX];

void dijkstra(){
    int minv;
    int d[MAX],color[MAX];
    for(int i=0;i<n;i++){
        d[i]=INFTY;
        color[i]=WHITE;
    }
    d[0]=0;
    color[0]=GRAY;
    while(1){
        minv=INFTY;
        int u=-1;
        for(int i=0;i<n;i++){
            if(minv>d[i]&&color[i]!=BLACK){
                u=i;
                minv=d[i];
            }
        }
        if(u==-1) break;
        color[u]=BLACK;
        for(int v=0;v<n;v++){
            if(color[v]!=BLACK&&M[u][v]!=INFTY){
                if(d[v]>d[u]+M[u][v]){
                    d[v]=d[u]+M[u][v];
                    color[v]=GRAY;
                }
            }
        }
    }
    for(int i=0;i<n;i++){
        cout<<i<<" "<<(d[i]==INFTY?-1:d[i])<<endl;
    }
}

int main(){
    cin>>n;
    for(int i=0;i<n;i++){
        for(int j=0;j<n;j++){
            M[i][j]=INFTY;
        }
    }
    int k,c,u,v;
    for(int i=0;i<n;i++){
        cin>>u>>k;
        for(int j=0;j<k;j++){
            cin>>v>>c;
            M[u][v]=c;
        }
    }
    dijkstra();
    return 0;
}

C++: #include <iostream>
#include <vector>
#include <queue>
using namespace std;
typedef vector <int> vi;
typedef vector <vi> vvi;

class blanch{
	public:
		int weight;
		int total;
		int from;
		int to;
		blanch():
			weight(0), from(0), to(0){};
		blanch(int newweight, int newfrom, int newto):
			weight(newweight), from(newfrom), to(newto){};
};
typedef vector <blanch> vb;


bool operator<( const blanch &blanch1, const blanch &blanch2){
	return (blanch1.weight > blanch2.weight);
	}

bool operator>( const blanch &blanch1, const blanch &blanch2){
	return (blanch1.weight < blanch2.weight);
	}

int make_graph(vvi &graph, vi &stamp){
	int n=graph.size();
	for (int i=0; i<n; i++){
		for (int j=0; j<n; j++){
			graph[i][j]=0;
		}
	}

	for (int j=0; j<n; j++){
		int i2,n2;
		cin>>i2;
		cin>>n2;
		for (int i=0; i<n2; i++){
			int j2;
			cin>>j2;
			cin>>graph[i2][j2];
		}
		stamp[i2] = -1;
	}
	return 0;
}

int Shortest_Path(vvi &graph, vi &stamp){

	priority_queue<blanch, vb, less<vb::value_type> > pq;
	int n = graph.size(), p1=0;
	stamp[p1] = 0;

	while (p1!=-1){
		for (int p2=0; p2<n; p2++){
			int *tmp = &graph[p1][p2];
			if (*tmp!=0 && stamp[p2]==-1){
				pq.push(blanch(*tmp+stamp[p1], p1, p2));
			}
		}
		p1 = -1;
		while (! pq.empty()){
			blanch tmp = pq.top();
			if (stamp[tmp.from]!=-1 && stamp[tmp.to]==-1){
				p1 = tmp.to;
				stamp[p1] = tmp.weight;
				pq.pop();
				break;
			} else
				pq.pop();
		}
	}
	return 0;
}

int resultout(vi &stamp){
	int n = stamp.size();
	for (int i=0; i<n; i++){
		cout<<i<<" "<<stamp[i]<<endl;
	}
	return 0;
}

int main(void){

	int n;
	cin>>n;
	vvi G(n, vi(n));
	vi stamp(n);

	make_graph(G, stamp);

	Shortest_Path(G, stamp);

	resultout(stamp);

	return 0;
}

C++: #include <iostream>
using namespace std;
static const int SIZE = 100;
static const int INF = 1e9+7;
static const int WHITE = 0;
static const int GRAY = 1;
static const int BLACK = 2;
static const int NIL = -1;

int n;
int G[SIZE][SIZE],d[SIZE];

void dijkstra(){
    int u,mincost;
    int color[SIZE];

    for(int i=0; i<n; i++){
        d[i] = INF;
        color[i] = WHITE;
    }

    d[0] = 0;
    color[0] = GRAY;

    while(1){
        mincost = INF;
        u = NIL;

        for(int i=0; i<n; i++){
            if(color[i] != BLACK && d[i] < mincost){
                mincost = d[i];
                u = i;
            }
        }

        if(u == NIL) break;

        color[u] = BLACK;

        for(int v=0; v<n; v++){
            if(color[v] != BLACK && G[u][v] != INF){
                if(G[u][v] + d[u] < d[v]){
                    d[v] = G[u][v] + d[u];
                    color[v] = GRAY;
                }
            }
        }
    }
}

int main(){
    cin>>n;

    for(int i=0; i<n; i++){
        for(int j=0; j<n; j++){
            G[i][j] = INF;
        }
    }

    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][v] = c;
        }
    }

    dijkstra();

    for(int i=0; i<n; i++){
        cout<<i<<" ";
        if(d[i] != INF) cout<<d[i]<<endl;
        else cout<<-1<<endl;
    }

    return 0;
}