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 <vector>
#include <map>
#include <queue>


void update(int node, std::vector<int>& weight, const std::vector<std::map<int, int>> link_list) {
    for (auto && l : link_list[node]) {
        if (weight[l.first] == -1 || weight[node] + l.second < weight[l.first]) {
            weight[l.first] = weight[node] + l.second;
            update(l.first, weight, link_list);
        }
    }
}


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

    std::vector<std::map<int, int>> link_list;
    for (int i = 0; i < n; i++) {
        int u, k;
        std::cin >> u >> k;
        std::map<int, int> map;
        for (int j = 0; j < k; j++) {
            int c, v;
            std::cin >> c >> v;
            map[c] = v;
        }
        link_list.emplace_back(map);
    }

    std::vector<int> weight(n, -1);
    weight[0] = 0;

    auto comp = [] (std::tuple<int, int, int> &lfs, std::tuple<int, int, int> &rhs) {
        return std::get<2>(lfs) > std::get<2>(rhs);
    };
    
    std::priority_queue<std::tuple<int, int, int>, std::vector<std::tuple<int, int, int>>, decltype(comp)> que(comp);
    for (auto && m : link_list[0]) {
        que.push(std::make_tuple(0, m.first, m.second));
    }

    while (!que.empty()) {
        auto val = que.top();
        que.pop();
        auto w = weight[std::get<0>(val)] + std::get<2>(val);
        if (weight[std::get<1>(val)] == -1 || w < weight[std::get<1>(val)]) {
            weight[std::get<1>(val)] = w;
            for (auto && m : link_list[std::get<1>(val)]) {
                que.push(std::make_tuple(std::get<1>(val), m.first, m.second));
            }
        }
    }

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

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

#define N 100
#define MAX 100001
#define che cout<<"-----"<<endl

int cnt = 0;

class Po{
public:
    int i;
    int d;
    int o;
};

void change(Po *a, int i);
void maxHeapify(Po *a, int i);
void buildMaxHeap(Po *a, int n);

int main() {
    
    Po a[N][N];
    int n, u, k, c, v;
    cin>>n;
    for(int i = 0; i < n; i++) {
        for(int j = 0; j < n; j++) {
            a[i][j].d = MAX;
        }
    }
    
    for(int i = 0; i < n; i++) {
        cin>>u>>k;
        for(int j = 0; j < k; j++) {
            cin>>c>>v;
            a[u][c].d = v;
            a[u][c].i = c;
            a[u][c].o = u;
        }
    }
    
    int list[N];
//    for(int i = 0; i < n; i++) list[i] = MAX;
    list[0] = 0;
    Po q[100000], mini;
    for(int i = 1; i < n; i++) {
        if(a[0][i].d != MAX) {
            cnt++;
            q[cnt] = a[0][i];
            change(q, cnt);
        }
    }
    
    int num = 0;
    while(1) {
        mini = q[1];
        q[1] = q[cnt];
        cnt--;
        maxHeapify(q, 1);
        if(list[ mini.i ] == 0) {
            list[ mini.i ] = mini.d;
            for(int i = 1; i < n; i++) {
                if(a[mini.i][i].d != MAX) {
                    cnt++;
                    a[mini.i][i].d += mini.d;
                    q[cnt] = a[mini.i][i];
                    change(q, cnt);
                }
            }
            num++;
        }
        if(num == n-1) break;
    }
    
    for(int i = 0; i < n; i++) {
        cout<<i<<' '<<list[i]<<endl;
    }
    
    return 0;
}

void change(Po *a, int i) {
    int p = i % 2 == 0 ? i/2 : (i-1)/2;
    if(p >= 1 && a[i].d < a[p].d ) {
        Po tmp = a[i];
        a[i] = a[p];
        a[p] = tmp;
        change(a, p);
    }
}

void maxHeapify(Po *a, int i) {

  int l = i*2;
  int r = i*2+1;

  int largest = i;
  if(l <= cnt && a[l].d < a[largest].d )  largest = l;

  if(r <= cnt && a[r].d < a[largest].d ) largest = r;

  if(largest != i) {
    Po s = a[i];
    a[i] = a[largest];
    a[largest] = s;
    maxHeapify(a, largest);
  }
}

C++: #include<iostream>
#include<vector>
#include<algorithm>
#define MAX_V 100
#define INF 1e9
using namespace std;
int cost[MAX_V][MAX_V];
int d[MAX_V];
bool used[MAX_V];
int V;
void dijkstra(int s) {
	for (int i = 0; i < V; i++) {
		d[i] = INF;
		used[i] = false;
	}
	d[s] = 0;
	while (true) {
		int v = -1;
		for (int u = 0; u < V; u++) {
			if (!used[u] && ((v == -1) || d[u] < d[v])) {
				v = u;
			}
		}
		//全ての頂点が到達済み
		if (v == -1) {
			break;
		}
		//集合に新たに頂点を追加
		used[v] = true;
		for (int u = 0; u < V; u++) {
			d[u] = min(d[u], d[v] + cost[v][u]);
		}
	}
}

int main() {
	for (int i = 0; i < V+80; i++) {
		for (int j = 0; j < V+80; j++) {
			cost[i][j] = INF;//iからjへの辺の重さ
		}
	}
	cin >> V;
	for (int i = 0; i < V; i++) {
		int u;
		cin >> u;
		int k;
		cin >> k;
		for (int j = 0; j < k; j++) {
			int v;
			cin >> v;
			int c;
			cin >> c;
			cost[u][v] = c;
		}
	}
	dijkstra(0);

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