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;
const int maxn = 1111;
#define INF 0x3f3f3f
int n;
struct qnode
{
	int v, c;
	qnode(int _v=0,int _c=0):v(_v),c(_c){}
	bool operator < (const qnode &r)const
	{
		return c > r.c;
	}
};
struct Edge
{
	int v,cost;
	Edge(int _v=0,int _cost =0):v(_v),cost(_cost){}
};
vector<Edge> E[maxn];
bool vis[maxn];
int dis[maxn];
void Dijkstra(int n, int s)
{
	memset(vis, false, sizeof(vis));
	fill(dis, dis + n, INF);
	priority_queue<qnode> que;
	while (que.size())que.pop();
	dis[s] = 0;
	que.push(qnode(s, 0));
	qnode temp;
	while (que.size())
	{
		temp = que.top();
		que.pop();
		int u = temp.v;
		if (vis[u])
			continue;
		vis[u] = true;
		for (int i = 0;i < E[u].size();i++)
		{
			int v = E[u][i].v;
			int cost = E[u][i].cost;
			if (!vis[v] && cost + dis[u] < dis[v])
			{
				dis[v] = dis[u] + cost;
				que.push(qnode(v, dis[v]));
			}
		}
	}
}
void addedge(int u, int v, int w)
{
	E[u].push_back(Edge(v, w));
}
int main()
{
	cin >> n;
	for (int i = 0;i < n;i++)
	{
		int a, b, w,k;
		cin >> a >> k;
		for (int j = 0;j < k;j++)
		{
			cin >> b >> w;
			addedge(a, b, w);
		}
	}
	Dijkstra(n,0);
	for (int i = 0;i < n;i++)
	{
		cout<<i<<" "<< dis[i] << endl;
	}
	return 0;
}

C++: #include<iostream>
using namespace std;
static const int MAX = 1000;
static const int INFTY = (1<<21);
static const int WHITE = 0;
static const int GRAY = 1;
static const int BLACK = 2;

int n, M[MAX][MAX];

void dijkstra() {
  int minv;
  int d[MAX], color[MAX];

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

  d[0] = 0;
  color[0] = GRAY;
  while ( 1 ) {
    minv = INFTY;
    int u = -1;
    for ( int i = 0; i < n; i++ )
      if ( minv > d[i] && color[i] != BLACK ) {
        u = i;
        minv = d[i];
      }
    if ( u == -1 ) break;
    color[u] == BLACK;
    for ( int v = 0; v < n; v++ )
      if ( color[v] != BLACK && M[u][v] != INFTY )
        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 << " " << ( d[i] == INFTY ? -1 : d[i] ) << endl;
}

int main() {
  cin >> n;
  for ( int i = 0; i < n; i++ )
    for ( int j = 0; j < n; j++ )
      M[i][j] = INFTY;

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

  dijkstra();

  return 0;
}

C++: #include<iostream>
using namespace std;
static const int M = 100;
static const int INF = (1 << 21);
static const int W = 0;
static const int G = 1;
static const int B = 2;

int n, m[M][M];


void dijk() {
	int u, minv;
	int i, v, d[M], c[M];

	for (i = 0; i < n; i++) {
		d[i] = INF;
		c[i] = W;
	}
	d[0] = 0;
	c[0] = G;
	while (1) {
		minv = INF;
		u = -1;
		for (i = 0; i < n; i++) {
			if (minv > d[i] && c[i] != B) {
				u = i;
				minv = d[i];
			}
		}
		if (u == -1) {
			break;
		}
		c[u] = B;
		for (v = 0; v < n; v++) {
			if (c[v] != B && m[u][v] != INF) {
				if (d[v] >(d[u] + m[u][v])) {
					d[v] = d[u] + m[u][v];
					c[v] = G;
				}
			}
		}
	}
	for (i = 0; i < n; i++) {
		cout << i << " " << (d[i] == INF ? -1 : d[i]) << endl;
	}
}

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

C++: #include <iostream>
using namespace std;
const int MAXn=100;
const int INFTY=1<<21;

int n,M[MAXn][MAXn],col[MAXn],d[MAXn],p[MAXn];

void dijkstra(int s)
{
	for(int i=0;i<n;i++)
	{
		col[i]=0;
		d[i]=INFTY;
	}
	d[s]=0;
	p[s]=-1;
	
	while(1)
	{
		int mincost=INFTY;
		int u;
		for(int i=0;i<n;i++)
		{
			if(col[i]!=2&&d[i]<mincost)
			{
				mincost=d[i];
				u=i;
			}
		}
		if(mincost==INFTY)break;
		col[u]=2;
		for(int v=0;v<n;v++)
		{
			if(col[v]!=2&&M[u][v]!=INFTY)
			{
				if(d[u]+M[u][v]<d[v])
				{
					d[v]=d[u]+M[u][v];
					p[v]=u;
					col[v]=1;
				}
			}
		}
	}
	
	for(int i=0;i<n;i++)cout<<i<<" "<<(d[i]==INFTY?-1:d[i])<<endl;
	
	return;
}

int main() {
	cin>>n;
	int id,k,v,c;
	for(int i=0;i<n;i++)for(int j=0;j<n;j++)M[i][j]=INFTY;
	for(int i=0;i<n;i++)
	{
		cin>>id>>k;
		for(int j=0;j<k;j++)
		{
			cin>>v>>c;
			M[id][v]=c;
		}
	}
	dijkstra(0);
	return 0;
}

C++: #include<bits/stdc++.h>
#define INF 999999999
using namespace std;

int G[110][110] = {};
int mini[110];
int used[110];

void dijkstra(int n)
{
    //init
    for(int i = 0;i < n;i++){
        mini[i] = INF;
        used[i] = 0;
    }
    mini[0] = 0;

    while(true)
    {
        int v = -1;
        for(int i = 0;i < n;i++){
            if(!used[i] && (v == -1 || mini[i] < mini[v])) v = i;
        }
        if(v == -1) break;
        used[v] = 1;

        for(int i = 0;i < n;i++){
            mini[i] = min(mini[i], mini[v]+G[v][i]);
        }
    }
}

int main()
{
    int n;
    int u, k, v, c;

    cin >> n;
    
    for(int i = 0;i < n;i++){
        for(int j = 0;j < n;j++) G[i][j] = INF;
    }

    for(int i = 0;i < n;i++){
        cin >> u >> k;
        for(int j = 0;j < k;j++){
            cin >> v >> c;
            G[u][v] = c; //uiとviをつなぐコストがci
        }
    }
    dijkstra(n);
    
    for(int i = 0;i < n;i++) printf("%d %d\n", i, mini[i]);
    
    return 0;
}