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 "stdc++.h"
#include <iostream>
#include <vector>
#include <algorithm>
#include <cstdio>
#include <cstdlib>
#include <queue>
//#include "my_gettime.hpp"
//#include "my_random.hpp"
//#include "my_util.hpp"
//using namespace std;

struct Edge{
	Edge(int f, int s, int w){first = f; second = s; weight = w;};
	int first;
	int second;
	int weight;
};

struct NodeP{
	NodeP(){};
	NodeP(int i, int p, int w){id = i; prev = p; weight = w;}
	int id;
	int prev;
	int weight;
	bool operator<(const NodeP & inRhs) const{ return weight < inRhs.weight; }
	bool operator>(const NodeP & inRhs) const{ return weight > inRhs.weight; }
};

#define INF (1<<30)
class Graph{
public:
	Graph(int numnodes);
	//~Graph();
	void addEdge(Edge a);
	void addEdge_nonDirect(Edge e);
	std::vector<NodeP> dijkstra(int start);
	int numNodes;
	//Edge *adj;
	std::vector < std::vector<Edge> > adj;
};
Graph::Graph(int n){
	numNodes = n;
	//adj = (Edge *)malloc(sizeof(Edge)*n*n);
	adj.resize(n);
}
void Graph::addEdge(Edge e){
	//adj[ e.first * numNodes + e.second ] = e;
	adj[e.first].push_back(e);
}
void Graph::addEdge_nonDirect(Edge e){
	adj[e.first].push_back(e);
	Edge e2 = e;
	e2.first = e.second;
	e2.second = e.first;
	adj[e2.first].push_back(e2);
}
std::vector<NodeP> Graph::dijkstra(int start){
	//using P = pair<int , int>;
	int *cost = (int *)malloc(sizeof(int)*numNodes);
	char *flag = (char *)malloc(sizeof(char)*numNodes);
	for(int i=0;i<numNodes;i++) flag[i] = 0;
	for(int i=0;i<numNodes;i++) cost[i] = INF;
	cost[start]=0;
	std::priority_queue < NodeP ,std::vector<NodeP>, std::greater<NodeP> > Q;
	Q.push(NodeP(start,0, 0));
	std::vector <NodeP> nodeps(numNodes);

	while( !Q.empty() ){
		NodeP node = Q.top();
		Q.pop();
		if( flag[node.id] == 1 ) continue;
		flag[node.id] = 1;
		cost[node.id] = node.weight;

		nodeps[node.id] = node;

		typedef std::vector<Edge>::iterator ITR;
		for( ITR itr = adj[node.id].begin(); itr !=adj[node.id].end(); itr++ ){
			int dis = node.weight + itr->weight;
			if( cost[itr->second] > dis ){
				Q.push(NodeP(itr->second, node.id, dis));
			}
		}

	}

	free(cost);
	free(flag);

	return nodeps;
}

int main(int argc ,char **argv){
	using namespace std;

	int numNodes;
	cin >> numNodes;

	Graph g(numNodes);

	for(int i=0;i<numNodes;i++){
		int nodeid, numedge;
		cin >> nodeid >> numedge;
		for(int j=0;j<numedge;j++){
			int target, weight;
			cin >> target >> weight;
		//	cout<< nodeid<<" "<<target<<" "<<weight<<endl;
			g.addEdge(Edge(nodeid,target,weight));
		}
	}
	vector<NodeP> nodeps = g.dijkstra(0);
	typedef std::vector<NodeP>::iterator ITR;
	for( ITR itr = nodeps.begin(); itr !=nodeps.end(); itr++ ){
		printf("%d %d\n",itr->prev,itr->id/*,itr->weight*/);
	}
	return 0;
}

C++: #include <bits/stdc++.h>

using namespace std;

#define llong long long 
typedef struct data{
	vector<int> way;
	vector<int> waycost;
	int useway;
	int cost;
}data;

data d[101];
bool ok[101];
int sum;
int hownum;

void solve(int N, int before){
	for(int i = 0; i < d[N].way.size(); i++){
		if(d[N].cost + d[N].waycost[i] < d[d[N].way[i] ].cost){
			d[d[N].way[i] ].cost = min(d[d[N].way[i]].cost, d[N].cost + d[N].waycost[i]);
			d[d[N].way[i]].useway = N;
		}
	}
}

int main(){
	fill_n(ok, 101, false);
	int howway;
	int num;
	cin >> hownum;
	for(int i = 0; i < hownum; i++){
		cin >> num;
		cin >> howway;
		for(int j = 0; j < howway; j++){
			int w,c;
			cin >> w >> c;
			d[num].way.push_back(w);
			d[num].waycost.push_back(c);
		}

		if(num == 0) d[num].cost = 0;
		else d[num].cost = 10000000;
	}

	for(int j = 0; j < hownum; j++){
		for(int i = 0; i < hownum; i++){
			solve(i, -1);
		}
	}

	for(int i = 0; i < hownum; i++){
		cout << i << " " << d[i].cost << endl;
	}
	return 0;
}

C++: #include <iostream>
#include <vector>

#define rep(i, n) for (int i = 0; i < (int)(n); ++i)

const int SIZE = 101;
const int INF = 1 << 21;
int d[SIZE], p[SIZE], state[SIZE];

void dijkstra(int s, int n, int **a) {
  rep(i, n) {
    d[i] = INF;
    p[i] = -1;
  }
  d[s] = 0;

  while (1) {
    int u = -1, minv = INF;
    rep(i, n) {
      if (d[i] < minv && state[i] != 1) {
        u = i;
        minv = d[i];
      }
    }

    if (u == -1) break;

    state[u] = 1;

    rep(i, n) {
      if (a[u][i] != INF) {
        int v = i, w = a[u][i];
        if (state[v] == 1) continue;
        if (d[v] > d[u] + w) { d[v] = d[u] + w; }
      }
    }
  }
}

int main() {
  int n;
  std::cin >> n;
  int **a = new int *[n];
  rep(i, n) a[i] = new int[n];

  rep(i, n) rep(j, n) a[i][j] = INF;

  rep(i, n) {
    int u, k, v, c;
    std::cin >> u >> k;
    rep(j, k) {
      std::cin >> v >> c;
      a[u][v] = c;
    }
  }

  dijkstra(0, n, a);
  rep(i, n) { std::cout << i << ' ' << d[i] << '\n'; }

  return 0;
}

C++: #include <bits/stdc++.h>
using namespace std;
#define inf 1e9+100

int n, u, k, v, c, d[100];
vector<pair<int,int> > e[100];

void dijkstra(int n, vector<pair<int,int> > e[], int *d, int s) {
	priority_queue<pair<int,int>, vector<pair<int,int> >, greater<pair<int,int> > > que;
	fill(d, d+n, inf), d[s] = 0;
	que.push({0,s});
	while(!que.empty()) {
		int v = que.top().second, dis = que.top().first; que.pop();
		if (d[v]<dis) continue;
		for (int i = 0; i < e[v].size(); ++i) {
			int to = e[v][i].first, cost = e[v][i].second;
			if (d[to] > d[v] + cost) {
				d[to] = d[v] + cost;
				que.push({d[to], to});
			}
		}
	}
}

int main() {
	cin >> n;
	for (int i = 0; i < n; ++i) {
		cin >> u >> k;
		for (int j = 0; j < k; ++j) {
			cin >> v >> c;
			e[u].push_back({v, c});
		}
	}
	dijkstra(n,e,d,0);
	for (int i = 0; i < n; ++i) cout << i << ' ' << d[i] << endl;
}