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 <vector>
#define INF 1<<30
#define WHITE 0
#define BLACK 1
using namespace std;

int main(int argc, char* argv[]) {
    int n, u, k, v, c;
    cin >> n;

    int color[n];
    int d[n];
    vector <pair<int, int>> Adj[n];
    priority_queue <pair<int, int>> que;
    pair<int, int> top;

    for (int i = 0; i < n; i++){
        cin >> u >> k;
        for (int j = 0; j < k; j++){
            cin >> v >> c;
            Adj[u].push_back(make_pair(v, c));
        }
        d[i] = INF;
        color[i] = WHITE;
    }

    d[0] = 0;
    que.push(make_pair(0, 0));

    while (!que.empty()){
        top = que.top();
        que.pop();
        c = (-1)*top.first;
        u = top.second;

        color[u] = BLACK;
        for (int j = 0; j < Adj[u].size(); j++){
            int v = Adj[u][j].first;
            int w = Adj[u][j].second;

            if (color[v]) continue;
            if (d[u] + w < d[v]){
                d[v] = d[u] + w;
                que.push(make_pair((-1)*d[v], v));
            }
        }
    }
    for (int i = 0; i < n; i++)
        cout << i << " " << (d[i] == INF? -1: d[i]) << endl;

    return 0;
}

C++: #include<iostream>
using namespace std;

static const int MAX = 100000;
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 (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(int argc, char const* argv[])
{
    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 <bits/stdc++.h>

using namespace std;

vector<pair<int, int>> adja[10000];

#define INF (1LL << 30)

int main() {
	int n, id, k, a, b;

	cin >> n;
	for (int i = 0; i < n; ++i) {
		cin >> id >> k;
		for (int j = 0; j < k; ++j) {
			cin >> a >> b;
			adja[id].push_back(make_pair(a, b));
		}
	}

	priority_queue<pair<int, int>> que;
	que.push(make_pair(0, 0)); //cost, node
	long long cost[10000];
	fill(cost, cost + n, INF);
	cost[0] = 0;

	while (!que.empty()) {
		for (int i = 0, size = que.size(); i < size; ++i) {
			pair<int, int> top = que.top();
			que.pop();

			for (int j = 0, len = adja[top.second].size(); j < len; ++j) {
				if (cost[adja[top.second][j].first] > top.first + adja[top.second][j].second) {
					cost[adja[top.second][j].first] = top.first + adja[top.second][j].second;
					que.push(make_pair(top.first + adja[top.second][j].second, adja[top.second][j].first));
				}
			}
		}
	}

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

	return 0;
}

C++: #include<iostream>
#include<cstdio>
#include<cstring>
#include<queue>
#include<vector>
using namespace std;
const int maxn=10010;
const int Max=10000001;
int n;
int dis[maxn];
bool vis[maxn];

struct edge
{
	int u,v,w;
	edge(int u=0,int v=0,int w=Max):u(u),v(v),w(w){}
};
vector<edge> G[maxn];

struct node
{
	int d,id;
	bool operator < (const node& rhs) const
	{
		return d>rhs.d;
	}
	node(int d=0,int id=0):d(d),id(id){}
};
priority_queue<node> Q;

void dijkstra(int s)
{
	memset(dis,0x7f,sizeof(dis));
	memset(vis,0,sizeof(vis));
	dis[s]=0;
	Q.push(node(0,s));
	while(!Q.empty())
	{
		node u=Q.top();
		Q.pop();
		if(vis[u.id]) continue;
		vis[u.id]=1;
		for(unsigned int i=0;i<G[u.id].size();++i)
		{
			edge e=G[u.id][i];
			if(dis[e.v]>dis[u.id]+e.w)
			{
				dis[e.v]=dis[u.id]+e.w;
				Q.push(node(dis[e.v],e.v));
			}
		}
	}
}

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

int main()
{
	scanf("%d",&n);
	for(int i=0;i<n;++i)
	{
		int id,k;
		scanf("%d%d",&id,&k);
		for(int j=0;j<k;j++)
		{
			int v,w;
			scanf("%d%d",&v,&w);
			G[id].push_back(edge(id,v,w));
		}
	}
	dijkstra(0);
	print();
	return 0;
}