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 <bits/stdc++.h>
using namespace std;
int main(){
    int n, u, k, v, c, l[101][101], ans[101];
    for (int i = 0; i < 101; i++) ans[i] = 1e9;
    ans[0] = 0;
    for (int i = 0; i < 101; i++) for (int j = 0;j < 101; j++)l[i][j] = 1e9;
    queue<int> q;
    cin >> n;
    for(int i = 0; i < n; i++){
        cin >> u >> k;
        for(int j = 0;j < k; j++){
            cin >> v >> c;
            l[u][v] = c;
        }
    }
    q.push(0);
    while(!q.empty()){
        int _u = q.front();
        q.pop();
        for (int i = 0; i < n; i++){
            if (l[_u][i] != 1e9){
                if (ans[i] > ans[_u] + l[_u][i]){
                    ans[i] = ans[_u] + l[_u][i];
                    q.push(i);
                }
            }
        }
    }
    for (int i = 0 ; i < n; i++) cout << i << " "<< ans[i] << endl;
}

C++: #include <iostream>
#include <cstdio>
#include <algorithm>
#include <cstring>
#include <stack>
#include <vector>
using namespace std;
const int maxx=110;
const int infinity=(1<<30);

int A[maxx][maxx],d[maxx];
bool flag[maxx];

int main (){
	int n,a,b,c;
	cin>>n;
	for(int i=0;i<maxx;i++){
		flag[i]=false;
		d[i]=infinity;
		for(int j=0;j<maxx;j++){
			A[i][j]=infinity;
		}
	}
	for(int i=0;i<n;i++){
		cin>>a>>b;
		for(int j=0;j<b;j++){
			cin>>c>>A[a][c];
		}
	}
	
	d[0]=0;
	while(1){
		int minv=infinity,mini=-1;
		for(int i=0;i<n;i++){
			if(flag[i]==false && d[i]<minv){
				minv=d[i];
				mini=i;
			}
		}
		if(mini==-1 || minv==infinity) break;
		flag[mini]=true;
		for(int i =0;i<n;i++){
			if(A[mini][i]!=infinity && flag[i]==false){
				if(d[mini]+A[mini][i]<d[i]){
					d[i]=d[mini]+A[mini][i];
				}
			}
		}
		
	}
	for(int i=0;i<n;i++) cout<<i<<" "<<d[i]<<endl;
	
	return 0;

}

C++: #include<iostream>
#include<cstdio>
using namespace std;
int main(){
  int a,n,k,m[150][150];
  for(int i=0;i<150;i++)for(int j=0;j<150;j++)m[i][j]=100001;
  cin>>n;
  for(int i=0;i<n;i++){
    cin>>a>>k;
    for(int j=0;j<k;j++){
      cin>>a;
      cin>>m[i][a];
    }
  }
  int dist[100]={};
  int visited[100]={};
  for(int i=1;i<100;i++)dist[i]=100001;
  while(1){
    int i=-1;
    for(int j=0;j<n;j++){
      if(visited[j]==0){
	if(i==-1||dist[i]>dist[j]){
	  i=j;
	}
      }
    }
    if(i==-1)break;
    visited[i]=1;
    for(int j=0;j<n;j++){
      int A=dist[i]+m[i][j];
      if(dist[j]>A){
	dist[j]=A;
      }
    }
  }
  for(int i=0;i<n;i++)printf("%d %d\n",i,dist[i]);
  return 0;
}

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

static const int MAX_N = 100;

void dijkstra(vector<vector<pair<int, int> > > way)
{
    int d[way.size()];
    bool on[way.size()];
    for (int i = 0; i < way.size(); i++) {
        d[i] = INT_MAX;
        on[i] = false;
    }
    d[0] = 0;
    while (1) {
//        cout << "d:";
//        for (int i = 0; i < way.size(); i++) {
//            cout << " " << d[i];
//        }
//        cout << endl;
        int u, minv = INT_MAX;
        for (int i = 0; i < way.size(); i++) {
            if (minv > d[i] && !on[i]) {
                minv = d[i];
                u = i;
            }
        }
        if (minv == INT_MAX) break;
        on[u] = true;
        for (auto itr = way.at(u).begin(); itr != way.at(u).end(); ++itr) {
            if (!on[itr->first]) {
                d[itr->first] = min(d[itr->first], d[u] + itr->second);
            }
        }
    }
    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 <bits/stdc++.h>
using namespace std;

typedef long long ll;

struct Edge {
    ll t,w;
};

struct State {
    ll v;
    ll score;
    bool operator < (const State& tgt) const {
	return score > tgt.score;
    }
};

vector<ll> dijkstra(vector<vector<Edge>>& G, const int start) {
    const ll V = G.size();

    vector<ll>res(V,INT_MAX);
    priority_queue<State> q;
    q.push( State{0,0} );
    while( q.size() ) {
	State s = q.top(); q.pop();
	if( res[s.v] != INT_MAX ) continue;
	res[s.v] = s.score;
	for(auto& e : G[s.v]) {
	    if( res[e.t] != INT_MAX ) continue;
	    q.push( State{e.t, s.score + e.w} );
	}
    }
    return res;
}


int main () {

    ll V; cin >> V;
    vector<vector<Edge>> G(V);
    for(int i=0; i<V; i++) {
	ll u,k; cin >> u >> k;
	for(int j=0; j<k; j++) {
	    ll v,w; cin >> v >> w;
	    G[i].push_back( Edge{v,w} );
	}
    }
    vector<ll> res = dijkstra(G,0);
    for(auto& e : res) cout << e << endl;
    
    return 0;
}