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;

static const int N = 100;
static const int INF = (1 << 30);
static const int WHITE = 0;
static const int GRAY  = 1;
static const int BLACK = 2;

int n;
int m[N][N];

void dijkstra(){
    int min_val;
    int d[N],color[N];

    for(int i=0;i<n;i++){
        d[i] = INF;
        color[i] = WHITE;
    }

    //始点設定
    d[0] = 0;
    color[0] = GRAY;

    while(1){
        min_val = INF;
        int u = -1;
        for(int i=0;i<n;i++){
            if(min_val > d[i] && color[i] != BLACK){
                u = i;
                min_val = d[i];
            }
        }

        if(u == -1) break;

        color[u] = BLACK;
        for(int v=0;v<n;v++){
            if(color[v] != BLACK && m[u][v] != INF){
                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 << ' ';
        if(d[i] == INF)
            cout << -1;
        else
            cout << d[i];
        cout << endl;
    }

}

int main(){
    int u,k,v,c;
    cin >> n;
    for(int i=0;i<n;i++){
        for(int j=0;j<n;j++)
            m[i][j] = INF;
    }

    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();

}

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

const int MAX = 105;
const int WHITE = 0;
const int GRAY = 1;
const int BLACK = 2;
const int INFTY = (1 << 21);
int n, M[MAX][MAX];
int color[MAX];
int d[MAX];
int p[MAX];

void dijkstra(int root) {
  int u = -1;
  for (int i = 0; i < n; i++) {
    color[i] = WHITE;
    d[i] = INFTY;
    p[i] = -1;
  }

  color[root] = GRAY;
  d[root] = 0;

  while (true) {
    int min_cost = INFTY;
    for (int i = 0; i < n; i++) {
      if (color[i] != BLACK && d[i] < min_cost) {
        min_cost = d[i];
        u = i;
      }
    }

    if (min_cost == INFTY) {
      break;
    }

    color[u] = BLACK;

    for (int i = 0; i < n; i++) {
      if (color[i] != BLACK && d[i] > M[u][i] + d[u]) {
        d[i] = d[u] + M[u][i];
        p[i] = u;
        color[i] = GRAY;
      }
    }
  }
}

int main() {
  cin >> n;
  for (int i = 0; i < n; i++) {
    for (int j = 0; j < n; j++) {
      M[i][j] = INFTY;
    }
  }
  int k, s, t, c;
  for (int i = 0; i < n; i++) {
    cin >> s >> k;
    for (int j = 0; j < k; j++) {
      cin >> t >> c;
      M[s][t] = c;
    }
  }
  dijkstra(0);
  for (int i = 0; i < n; i++) {
    cout << i << " " << d[i] << endl;
  }
  return 0;
}

C++: #include <bits/stdc++.h>
#define REP(i, a, b) for(int i = (a); i < (b); i++)
#define RREP(i, a, b) for(int i = (a); i >= (b); i--)
#define pq priority_queue
#define P pair<int, int>
#define P2 pair<int, P>
#define P3 pair<int, P2>
typedef long long ll; typedef long double ld;
using namespace std;
const int INF = 1e9, MOD = 1e9+7, around[] = {0, 1, 1, -1, -1, 0, -1, 1, 0, 0};
const int vx[] = {1, 0, -1, 0}, vy[] = {0, 1, 0, -1};
const ld PI = abs(acos(-1));
const int sqrtN = 512;
const int logN = 32;
const ll LINF=1e18;

template<typename T>
struct Dijkstra{
	struct edge{
		int to;
		T cost;
	};
	const T INF;
	vector<vector<edge>> g;
	vector<T> min_cost;
	
	Dijkstra(int n) : INF(numeric_limits<T>::max() - numeric_limits<T>::max()/10){
		g.resize(n);
	}
	
	void add_edge(int from, int to, T cost){
		g[from].push_back(edge{to, cost});
	}
	
	vector<T> dijkstra(int s){
		min_cost.assign(g.size(), INF); min_cost[s] = 0;
		pq<pair<T, int>, vector<pair<T, int>>, greater<pair<T, int>>> qu;
		qu.push({0, s});
		
		while(!qu.empty()){
			auto p = qu.top(); qu.pop();
			
			for(auto e:g[p.second]){
				if(p.first + e.cost >= min_cost[e.to]) continue;
				min_cost[e.to] = p.first + e.cost;
				qu.push({min_cost[e.to], e.to});
			}
		}
		
		return min_cost;
	}
};


int main(){
	int n; cin >> n;
	Dijkstra<ll> dijk(n);
	for(int i = 0; i < n; i++){
		int k; cin >> k >> k;
		
		for(int j = 0; j < k; j++){
			int a, b; cin >> a >> b;
			dijk.add_edge(i, a, (ll)b);
			dijk.add_edge(a, i, (ll)b);
		}
	}
	
	vector<ll> min_cost = dijk.dijkstra(0);
	for(int i = 0; i < n; i++) cout << i << " " << min_cost[i] << endl;
	return 0;
}

C++: #include<iostream>
#include<algorithm>
#include<queue>
using namespace std;
static const int MAX = 10000;
static const int INFTY = (1 << 20);
static const int WHITE = 0;
static const int GRAY = 1;
static const int BLACK = 2;

int n;
vector<pair<int, int> > adj[MAX];

void dijkstra() {
	priority_queue<pair<int, int> > PQ;
	int color[MAX], d[MAX];
	for(int i = 0; i < n; i++) {
		color[i] = WHITE;
		d[i] = INFTY;
	}
	
	d[0] = 0;
	PQ.push(make_pair(0, 0));
	color[0] = GRAY;
	
	while(!PQ.empty()) {
        pair<int, int> f = PQ.top();
		PQ.pop();
		int u = f.second;
		
		color[u] = BLACK;
		
		
		for(int j = 0; j < adj[u].size(); j++) {
			int v = adj[u][j].first;
			if(color[v] == BLACK) continue;
			if(d[v] > d[u] + adj[u][j].second) {
				d[v] = d[u] + adj[u][j].second;
				PQ.push(make_pair(d[v] * (-1), v));
				color[v] = GRAY;
			}
		}		
	}
	
	for(int i = 0; i < n; i++) {
		cout << i << " " << (d[i] == INFTY ? -1 : d[i]) << endl;
	} 
}


int main() {
	int u, k, v, c;
	cin >> n;
	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));
		}
	}
	
	dijkstra();
	
	return 0;
}