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 <utility>
#include <vector>

struct Edge {
  int from, to, weight;
  Edge(int from, int to, int weight) : from(from), to(to), weight(weight) {}
};

struct Node {
  std::vector<Edge> ongoingEdges;
  void addEdge(Edge edge) {
    ongoingEdges.push_back(edge);
  }
};

class Graph {
private:
  std::vector<Node> nodes;
  int size;
public:
  Graph(int size): size(size) {
    nodes.resize(size);
  }
  void addEdge(Edge edge) {
    nodes[edge.from].addEdge(edge);
  }

  std::vector<int> calculateDist(int source) {
    std::vector<int> dist(size, (1 << 30));
    std::priority_queue< std::pair<int, int>, std::vector< std::pair<int, int> >, std::greater< std::pair<int, int> > > pq;

    pq.push(std::make_pair(0, source));
    dist[source] = 0;

    while(!pq.empty()) {
      int from = pq.top().second;
      pq.pop();

      for(Edge edge: nodes[from].ongoingEdges) {
        if(dist[edge.to] > dist[from] + edge.weight) {
          dist[edge.to] = dist[from] + edge.weight;
          pq.push({dist[edge.to], edge.to});
        }
      }

    }

    return dist;
  }
};

int main() {
  int n;
  std::cin >> n;
  Graph graph(n);

  for(int i = 0; i < n; i++) {
    int u, k;
    std::cin >> u >> k;

    for(int i = 0; i < k; i++) {
      int v, c;
      std::cin >> v >> c;
      graph.addEdge(Edge(u, v, c));
    }

  }

  std::vector<int> dist = graph.calculateDist(0);

  for(int i = 0; i < n; i++) {
    std::cout << i << ' ' << dist[i] << std::endl;
  }

}

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

static const int MAX_N = 100;

class comp
{
    public:
    bool operator() (pair<int, int> a, pair<int, int> b)
    {
        return a.second < b.second ? false : true;
    }
};

void dijkstra(vector<vector<pair<int, int> > > way)
{
    priority_queue<pair<int, int>, vector<pair<int, int> >, comp> PQ;
    pair<int, int> edge;
    int d[way.size()];    // array to store the cost to respective nodes
    bool on[way.size()];  // flags to indicate the minimum cost to its node has been calculated

    // initialize
    for (int i = 0; i < way.size(); i++) {
        d[i] = 0;
        on[i] = false;
    }
    PQ.push(make_pair(0, 0));

    while (!PQ.empty()) {
        edge = PQ.top();
        PQ.pop();
        // if flag is up, continue
        if (on[edge.first]) continue;
        on[edge.first] = true;
        d[edge.first] = edge.second;
        for (auto itr = way.at(edge.first).begin(); itr != way.at(edge.first).end(); ++itr) {
            if (!on[itr->first]) PQ.push(make_pair(itr->first, d[edge.first] + itr->second));
        }
    }
    // print costs
    for (int i = 0; i < way.size(); i++) {
        cout << i << " " << d[i] << endl;
    }
}

int main()
{
    int n;
    cin >> n;
    vector<vector<pair<int, int> > > way(n);
    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;
            way.at(u).push_back(make_pair(v, c));
        }
    }
    dijkstra(way);
    return 0;
}

C++: #include <iostream>
#include <vector>
using namespace std;
int n;
/*
int dat[100][100];
int cost[100];
int done[100];

void prim(){
	for(int i=0;i<n;i++){
		cost[i]=1<<21;
		done[i]=0;
	}
	int s=0;	
	int next, ncost=1<<21;
	done[s]=1;
	cost[s]=0;
	while(1){
		ncost=1<<21;
		for(int j=0;j<n;j++){
			if(done[j]){
				for(int i=0;i<n;i++){
					if(dat[j][i]!=-1){
						if(cost[i]>=dat[j][i]&&!done[i]){
							cost[i]=dat[j][i];
						}
						if(ncost>cost[i]&&!done[i]){
							next=i;
							ncost=cost[i];
						}
					}
				}
			}
		}
//		cout<<"next:"<<next<<" cost:"<<cost[next]<<endl;
		done[next]=1;
		int flag=true;
		for(int i=0;i<n;i++){
			if(!done[i]) flag = false;
		}
		if(flag)
			return;
	}
}


void dijk(){
	for(int i=0;i<n;i++){
		cost[i]=1<<21;
		done[i]=0;
	}
	int s=0;	
	int next, ncost=1<<21;
	done[s]=1;
	cost[s]=0;
	while(1){
		ncost=1<<21;
		for(int j=0;j<n;j++){
			if(done[j]){
				for(int i=0;i<n;i++){
					if(dat[j][i]!=0){
						if(cost[i]>=dat[j][i]+cost[j]){
							cost[i]=dat[j][i]+cost[j];
						}
						if(ncost>cost[i]&&!done[i]){
							next=i;
							ncost=cost[i];
						}
					}
				}
			}
		}
//		cout<<"next:"<<next<<" cost:"<<cost[next]<<endl;
		done[next]=1;
		int flag=true;
		for(int i=0;i<n;i++){
			if(!done[i]) flag = false;
		}
		if(flag)
			return;
	}
}
*/

vector<vector<int> > dat;
int cost[10000];
int done[10000];

void dijk2(){
	for(int i=0;i<n;i++){
		cost[i]=1<<21;
		done[i]=0;
	}
	int s=0;	
	int next, ncost=1<<21;
	done[s]=1;
	cost[s]=0;
	while(1){
		ncost=1<<21;
		for(int j=0;j<n;j++){
			if(done[j]){
				for(int i=0;i<n;i++){
					if(dat[j][i]!=0){
						if(cost[i]>=dat[j][i]+cost[j]){
							cost[i]=dat[j][i]+cost[j];
						}
						if(ncost>cost[i]&&!done[i]){
							next=i;
							ncost=cost[i];
						}
					}
				}
			}
		}
//		cout<<"next:"<<next<<" cost:"<<cost[next]<<endl;
		done[next]=1;
		int flag=true;
		for(int i=0;i<n;i++){
			if(!done[i]) flag = false;
		}
		if(flag)
			return;
	}
}



int main(){
	int num, from, dist, c;
	cin>>n;	
	dat.reserve(n);
	for(int i=0;i<n;i++){
		vector<int> d(n);
		dat.push_back(d);
	}
	for(int i=0;i<n;i++){
		cin>>from>>num;
		for(int j=0;j<num;j++){
			cin>>dist>>c;
			dat[from][dist]=c;
		}
	}
	dijk2();
	for(int i=0;i<n;i++){
		cout<<i<<" "<<cost[i]<<endl;
	}
	return 0;
}