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>
using namespace std;

static const int MAX = 100;
static const int INF = (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 d[MAX], color[MAX];
    int u, minc;

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

    d[0] = 0;

    while(1){
        minc = INF;
        u = -1;
        for(int i = 0; i < n; i++){
            if(color[i] != BLACK && minc > d[i]){
                minc = d[i];
                u = i;
            }
        }

        if(minc == INF) break;

        color[u] = BLACK;

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

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

int main(){
    cin >> n;

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

    for(int i = 0; i < n; i++){
        int from, k, to, c;
        cin >> from >> k;
        for(int j = 0; j < k; j++){
            cin >> to >> c;
            M[from][to] = c;
        }
    }

    dijkstra();

    return 0;
}

C++: #include<iostream>
#define INF 100000000
#define N 101
#define W 0
#define G 1
#define B 2
using namespace std;
int n,M[N][N],d[N];
void dijkstra(int s){
  int color[N],mincost,p[N],u;
  for(int i=0;i<n;i++) color[i]=W,d[i]=INF;
  d[s]=0;
  p[s]=-1;

  while(1){
    mincost=INF;
     u=-1;    
    for(int i=0;i<n;i++)
      if(color[i]!=B && d[i]<mincost){
	mincost=d[i];
	u=i;
      }
        if(mincost==INF) break;
        color[u]=B;
    for(int i=0;i<n;i++)
      if(color[i]!=B && M[u][i]!=INF)
	if(d[u]+M[u][i]<d[i]){
	  d[i]=d[u]+M[u][i];
	  p[i]=u;
	  color[i]=G;
	}
  }
}
int main(){
  int u,k,c,v;
  cin>>n;
  for(int i=0;i<N;i++) for(int j=0;j<N;j++)M[i][j]=INF;
  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(0);
  for(int i=0;i<n;i++) cout<<i<<" "<<d[i]<<endl;
  return 0;
}

C++: #include <cstdio>
#include <iostream>
#include <string>
#include <vector>
#include <algorithm>
#include <queue>
using namespace std;

#define rep(i, n) for(int i = 0; i < n; ++i)
const int max_v = 10100;
const int max_e = 505000;
const int inf = 0x3fffffff;

typedef pair<int, int> P;

typedef struct edge {
    int to, dist;
    edge():to(0),dist(0) {}
    edge(int _to, int _dist):to(_to),dist(_dist) {}
    bool operator < (const edge & o) const {
	return dist > o.dist;
    }
}edge;

struct graph {
    int V, E;
    int d[max_v], prev[max_v];
    bool vis[max_v];
    vector<edge> G[max_v];
    graph():V(0),E(0) {}

    graph(int _V):V(_V),E(0) {}

    graph(int _V, int _E, int ed[][3], bool bidirect):V(_V),E(_E) {
	rep(i, E) {
	    int u = ed[i][0], v = ed[i][1], dist = ed[i][2];
	    G[u].push_back(edge(v, dist));
	    if (bidirect) G[v].push_back(edge(v, dist));
	}
    }
    graph(int _V, int g[][max_v]) {
	V = _V; E = 0;
	rep(i, V) rep(j, V)
	    if (g[i][j] != inf) {
		G[i].push_back(edge(j, g[i][j]));
		++E;
	    }
    }

    void add_edge(int u, int v, int c) {
	G[u].push_back(edge(v, c));
    }

    void output() {
	rep(i, V) {
	    printf("[%d] ", i);
	    rep(j, G[i].size()) {
		printf("(%d %d) ", G[i][j].to, G[i][j].dist);
	    }
	    putchar('\n');
	}
    }

    void dijkstra(int g[][max_v], int s) {
	rep(i, V) d[i] = inf;
	rep(i, V) prev[i] = -1;
	rep(i, V) vis[i] = false;

	d[s] = 0;
	rep(i, V) {
	    int tmp = inf;
	    int u = -1;
	    rep(j, V) {
		if(!vis[j] && d[j] < tmp) {
		    tmp = d[j];
		    u = j;
		}
	    }
	    vis[u] = true;
	    rep(j, V) {
		if(!vis[j] && d[u] + g[u][j] < d[j]) {
		    d[j] = d[u] + g[u][j];
		    prev[j] = u;
		}
	    }
	}
    }

    void dijkstra(int s) {
	rep(i, V) d[i] = inf;
	rep(i, V) prev[i] = -1;
	rep(i, V) vis[i] = false;
	
	priority_queue<edge> pq;
	pq.push(edge(s, 0));
	d[s] = 0;

	while(! pq.empty()) {
	    edge e = pq.top(); pq.pop();
	    if(e.dist > d[e.to]) continue;
	    d[e.to] = e.dist;
	    vis[e.to] = true;
	    
	    rep(j, G[e.to].size()) {
		int v = G[e.to][j].to;
		int dist = G[e.to][j].dist;

		if(!vis[v] && d[e.to] + dist < d[v]) {
		    d[v] = d[e.to] + dist;
		    prev[v] = e.to;
		    pq.push(edge(v, d[v]));
		}
	    }
	}
    }
};

int N, M;

void solve() {
    int u, k, v, c;
    scanf("%d", &N);
    graph g = graph(N);
    rep(i, N) {
	scanf("%d%d", &u, &k);
	rep(j, k) {
	    scanf("%d%d", &v, &c);
	    g.add_edge(u, v, c);
	}
    }
    g.dijkstra(0);
    rep(i, N) {
	printf("%d %d\n", i, g.d[i]);
    }
}

int main() {
    solve();
    return 0;
}