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 <vector>
#include <queue>
using namespace std;
typedef unsigned short ushort;
typedef vector <int> vi;
typedef vector <vi> vvi;

class blanch{
	public:
		int weight;
		ushort from;
		ushort to;
		blanch():
			weight(0), from(0), to(0){};
		blanch(int newweight, ushort newfrom, ushort 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]=-1;
		}
	}

	for (int i=0; i<n; i++){
		int i2,n2;
		cin>>i2;
		cin>>n2;
		for (int j=0; j<n2; j++){
			int j2;
			cin>>j2;
			cin>>graph[i2][j2];
		}
		stamp[i] = -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!=-1 && 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 <bits/stdc++.h>
using namespace std;

typedef long long ll;
typedef unsigned long long ull;
typedef pair<ll,ll> P;
typedef pair<ll,P>  PP;
typedef vector<ll> Vector;
typedef vector<Vector> DVector;
typedef priority_queue<P, vector<P>, greater<P>> PQueue;

#define fi          first
#define se          second
#define sfi         se.fi
#define sse         se.se
#define pb          push_back
#define INF         INT_MAX
#define MOD         1000000007
#define bcnt        __builtin_popcount
#define all(x)      (x).begin(),(x).end()
#define uni(x)      x.erase(unique(all(x)),x.end())
#define ub(x,y)     (upper_bound(all(x),y)-x.begin())
#define lb(x,y)     (lower_bound(all(x),y)-x.begin())
#define rep(i,n)    repl(i,0,n-1)
#define usort(x)    sort(all(x))
#define dsort(x)    sort(all(x),greater<ll>())
#define mkp(x,y)    make_pair(x,y)
#define mmax(x,y)   (x>y?x:y)
#define mmin(x,y)   (x<y?x:y)
#define maxch(x,y)  x=mmax(x,y)
#define minch(x,y)  x=mmin(x,y)
#define exist(x,y)  (find(all(x),y)!=x.end())
#define each(itr,v) for(auto itr:v)
#define repl(i,a,b) for(ll i=(ll)(a);i<=(ll)(b);i++)
vector<vector<P>> costs;
ll n;
Vector mincost;
void djk(ll start){
  PQueue pq;
  mincost.resize(n,INF);
  mincost[start] = 0;
  pq.push({0,start});
  while(pq.size()){
    P state = pq.top();pq.pop();
    if(mincost[state.se] < state.fi)continue;
    each(itr,costs[state.se])if(mincost[itr.fi] > mincost[state.se] + itr.se){
      mincost[itr.fi] = mincost[state.se] + itr.se;
      pq.push({mincost[itr.fi],itr.fi});
    }
  }
}

int main(){
  cin.sync_with_stdio(false);
  cin >> n;
  costs.resize(n);
  rep(i,n){
    ll u,k;
    cin >> u >> k;
    rep(j,k){
      ll v,c;
      cin >> v >> c;
      costs[u].pb({v,c});
    }
  }
  djk(0);
  rep(i,n)cout << i << " " << mincost[i] << endl;
}