Go: package main

import (
	"bufio"
	"fmt"
	"os"
	"strconv"
)

var scanner = bufio.NewScanner(os.Stdin)

func nextString() string {
	scanner.Scan()
	return scanner.Text()
}

func nextInt() int {
	n, err := strconv.Atoi(nextString())
	if err != nil {
		fmt.Printf("strconv.Atoi failed: %v\n", err)
	}
	return n
}

var infty = 1000000000

type DirectedGraphNodeID int

type DirectedGraphNode struct {
	key         DirectedGraphNodeID
	adjacents   []*DirectedGraphNode
	costs       []int
	distance    int
	predecessor *DirectedGraphNode
}

func newDirectedGraph(nNodes int) *DirectedGraph {
	graph := DirectedGraph{}
	graph.nodes = make([]*DirectedGraphNode, nNodes)
	for i := 0; i < nNodes; i++ {
		node := DirectedGraphNode{}
		node.key = DirectedGraphNodeID(i)
		node.distance = infty
		graph.nodes[i] = &node
	}
	return &graph
}

type DirectedGraph struct {
	nodes []*DirectedGraphNode
}

func (g *DirectedGraph) setAdjacency(i, j DirectedGraphNodeID, cost int) {
	g.nodes[i].adjacents = append(g.nodes[i].adjacents, g.nodes[j])
	g.nodes[i].costs = append(g.nodes[i].costs, cost)
}

func (g *DirectedGraph) print() {
	for i := 0; i < len(g.nodes); i++ {
		node := g.nodes[i]
		key := node.key
		strings := []string{strconv.Itoa(int(key)), strconv.Itoa(node.distance)}
		for j := 0; j < len(node.adjacents); j++ {
			nodeJ := fmt.Sprintf("(%v, %v)", node.adjacents[j].key, node.costs[j])
			strings = append(strings, nodeJ)
		}
		fmt.Printf("%v\n", strings)
	}
}

func (g *DirectedGraph) relaxEdge(l, r *DirectedGraphNode, w int) {
	if r.distance > l.distance+w {
		// fmt.Printf("%v -> %v, %v\n", l.key, r.key, l.distance+w)
		r.distance = l.distance + w
		r.predecessor = l
	}
}

func main() {
	scanner.Split(bufio.ScanWords)

	nNodes := nextInt()
	graph := newDirectedGraph(nNodes)

	for i := 0; i < nNodes; i++ {
		iNode := DirectedGraphNodeID(nextInt())
		nAdjacent := nextInt()
		for j := 0; j < nAdjacent; j++ {
			jNode := DirectedGraphNodeID(nextInt())
			cost := nextInt()
			graph.setAdjacency(iNode, jNode, cost)
		}
	}

	graph.nodes[0].distance = 0
	for iNode := 0; iNode < nNodes; iNode++ {
		for iLeft := 0; iLeft < len(graph.nodes); iLeft++ {
			nodeLeft := graph.nodes[iLeft]
			for iRight := 0; iRight < len(nodeLeft.adjacents); iRight++ {
				nodeRight := nodeLeft.adjacents[iRight]
				cost := nodeLeft.costs[iRight]
				graph.relaxEdge(nodeLeft, nodeRight, cost)
			}
		}
	}

	// graph.print()

	for iNode := 0; iNode < len(graph.nodes); iNode++ {
		node := graph.nodes[iNode]
		fmt.Println(node.key, node.distance)
	}
}

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

int n;
static const int nmax = 2005;
static const int INFTY = (1<<21);
static const int WHITE = 0; // Not visited
static const int GRAY = 1;  // Visited
static const int BLACK = 2; // In MST
std::array<std::array<int, nmax>, nmax> adjmat;
std::array<int, nmax> d, p;
std::array<int, nmax> color;

void dijklstra(int v)
{
  color.fill(WHITE);
  d.fill(INFTY);
  p.fill(-1);

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

  while (true)
    {
      auto mincost = INFTY;

      // Find minimum cost vertex from current MST
      for (int i=0; i<n; ++i)
        {
          if (color[i] != BLACK && d[i] < mincost)
            {
              mincost = d[i];
              v = i;
            }
        }
      //std::cout << v << std::endl;
      //std::for_each(d.begin(), d.begin()+n, [](auto x){std::cout << x << ' ';});
      //std::cout << std::endl;
      // Break if no update
      if (mincost == INFTY) break;

      // Include v in MST
      color[v] = BLACK;

      // Update minimum cost outside current MST
      for (int i=0; i<n; ++i)
        {
          if ( (color[i] != BLACK) && ((d[v] + adjmat[v][i]) < d[i]))
            {
              d[i] = d[v] + adjmat[v][i];
              color[i] = GRAY;
              p[i] = v;
            }
        }
    }
}

void print_distance(int v)
{
  dijklstra(v);

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

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

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

  print_distance(0);
}