Go: package main

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

const (
	MAX_N      = 10000
	MAX_WEIGHT = 100000
)

type Edge struct {
	start  int
	end    int
	weight int
}

type ShortestInfo struct {
	edges    []Edge
	shortest int
}

type Neighbor struct {
	node   int
	weight int
}

func main() {
	sc := bufio.NewScanner(os.Stdin)
	sc.Split(bufio.ScanWords)

	n, err := nextInt(sc)
	if err != nil {
		panic(err)
	}

	shortestList := make([]ShortestInfo, n)
	for i := 1; i < n; i++ {
		shortestList[i] = ShortestInfo{edges: []Edge{}, shortest: MAX_N*MAX_WEIGHT + 1}
	}

	adjacentMatrix, err := createAdjacentMatrix(n, sc)
	if err != nil {
		panic(err)
	}

	sssp([]int{0}, shortestList, adjacentMatrix)
	for _, v := range shortestList {
		fmt.Printf("%d %d\n", v.getEnd(), v.shortest)
	}
}

func (si ShortestInfo) getEnd() int {
	if len(si.edges) == 0 {
		return 0
	} else {
		return si.edges[len(si.edges)-1].end
	}
}

func createAdjacentMatrix(n int, sc *bufio.Scanner) ([][]Neighbor, error) {
	adjacentMatrix := make([][]Neighbor, n)
	for i := 0; i < n; i++ {
		id, err := nextInt(sc)
		if err != nil {
			return nil, err
		}
		adjacentMatrix[id] = []Neighbor{}
		vertexNum, err := nextInt(sc)
		if err != nil {
			return nil, err
		}
		for j := 0; j < vertexNum; j++ {
			v, err := nextInt(sc)
			if err != nil {
				return nil, err
			}
			c, err := nextInt(sc)
			if err != nil {
				return nil, err
			}
			adjacentMatrix[id] = append(adjacentMatrix[id], Neighbor{v, c})
		}
	}
	return adjacentMatrix, nil
}

func sssp(nodeStack []int, shortestList []ShortestInfo, adjacentMatrix [][]Neighbor) {
	for len(nodeStack) > 0 {
		currentNode := nodeStack[0]
		nodeStack = nodeStack[1:]
		currentShortest := getShortest(currentNode, shortestList)
		adjacents := findAdjacents(currentNode, adjacentMatrix)
		for i := 0; i < len(adjacents); i++ {
			adj := adjacents[i]
			if currentShortest.shortest+adj.weight < getShortest(adj.end, shortestList).shortest {
				setShortest(adj.end, adj, currentShortest, shortestList)
				nodeStack = append(nodeStack, adj.end)
			}
		}
	}
}

func getShortest(node int, shortestList []ShortestInfo) ShortestInfo {
	return shortestList[node]
}

func setShortest(node int, edge Edge, currentShortest ShortestInfo, shortestList []ShortestInfo) {
	newEdges := make([]Edge, len(currentShortest.edges)+1)
	for i := 0; i < len(newEdges)-1; i++ {
		newEdges[i] = currentShortest.edges[i]
	}
	newEdges[len(newEdges)-1] = edge
	shortestInfo := ShortestInfo{edges: newEdges, shortest: currentShortest.shortest + edge.weight}
	shortestList[node] = shortestInfo
}

func findAdjacents(currentNode int, adjacentMatrix [][]Neighbor) []Edge {
	adjacents := adjacentMatrix[currentNode]
	edges := []Edge{}
	for _, neighbor := range adjacents {
		edges = append(edges, Edge{start: currentNode, end: neighbor.node, weight: neighbor.weight})
	}
	return edges
}

func nextInt(sc *bufio.Scanner) (int, error) {
	sc.Scan()
	return strconv.Atoi(sc.Text())
}

C++: #include<bits/stdc++.h>
#include<limits.h>
using namespace std;
#define rep(i, n) for(int i = 0; i < n; i++)

#define INF INT_MAX

#define MAX 10000
vector<vector<pair<int, int>>> adj_list(MAX);

void dijkstra(int start_node, int node_size){
    vector<int> visited(node_size, 0);
    vector<int> cost_table(node_size, INF);

    priority_queue<pair<int, int>, vector<pair<int, int>>, greater<pair<int, int>>> q;
    
    visited.at(start_node) = 1;
    cost_table.at(start_node) = 0;
    //queueの初期化 startノードに隣接するノードとそのコストをpush
    // cout << "queue pushed : ";
    int i = 0;
    while(adj_list.at(start_node).at(i).first != -1){
        pair<int, int> x = make_pair(adj_list.at(start_node).at(i).second, adj_list.at(start_node).at(i).first);
        q.push(x);
        // cout << x.first << " " << x.second << "  ";
        cost_table.at(x.second) = x.first;
        i++;
    }
    // cout << endl;

    // cout << "cost_table ====" << endl;
    // rep(i, node_size) cout << i << " " << cost_table.at(i) << endl;
    // cout << endl;


    while(q.size() != 1){
        pair<int, int> Nnode = q.top(); q.pop();
        int nearestNode = Nnode.second;

        visited.at(nearestNode) = 1;

        int i = 0;

        while(adj_list.at(nearestNode).at(i).first != -1){
            int v = adj_list.at(nearestNode).at(i).first; // 構築中の木に隣接するノードvと、追加したノード(nearestNode)からのコストc
            int c = adj_list.at(nearestNode).at(i).second;// 

            // cout << "nearest node : " << nearestNode << " " << v << " " << c << endl;

            if(visited.at(v) == 1){
                // cout << "old" << endl;
                i++;
                continue;
            }else{
                // cout << "new : cost_table " << cost_table.at(v) << " " <<  cost_table.at(nearestNode) << endl;

                if(cost_table.at(v) > cost_table.at(nearestNode) + c){
                    cost_table.at(v) = cost_table.at(nearestNode) + c;
                    q.push(make_pair(cost_table.at(v), v));
                    // cout << "queue pushed : cost " << cost_table.at(v) << " node " << v << endl; 
                }
            }
            i++;
        }
    }

    rep(i, node_size){
        cout << i << " " << cost_table.at(i) << endl;
    }
}



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

    //　隣接リストの作成
    rep(i, n){
        int from, k; cin >> from >> k;

        rep(j, k){
            int to, weight; cin >> to >> weight;
            adj_list.at(from).push_back(make_pair(to, weight));
        }
    }

    //番兵の挿入
    rep(i, n){
        adj_list.at(i).push_back(make_pair(-1, -1));
    }

    // cout << endl;
    // rep(i, n){
    //     int j = 0;
    //     while(adj_list.at(i).at(j).first != -1){
    //         cout << adj_list.at(i).at(j).first << " " << adj_list.at(i).at(j).second << " ";
    //         j++;
    //     }
    //     cout << endl;
    // }

    dijkstra(0, n);

}

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

typedef vector<pair<int, int> > adj;

struct current_cost
{
	int index, cost;
	bool operator < (const current_cost &cur) const
	{
		return cost < cur.cost;
	}
};

current_cost init(int i, int c)
{
	current_cost cur;
	cur.index = i, cur.cost = c;
	return cur;
}

int main()
{
	int i, j, k, n, m, next, cost;
	scanf("%d", &n);
	adj *adlist;
	adlist = new adj [n];

	for(k = 0; k < n; k++){
		scanf("%d %d", &i, &m);
		for(j = 0; j < m; j++){
			scanf("%d %d", &next, &cost);
			adlist[i].push_back(make_pair(next, cost));
		}
	}
	
	int *d;
	d = new int [n];
	d[0] = 0;
	for(i = 1; i < n; i++){
		d[i] = 200000;
	}

	priority_queue<current_cost> C;
	current_cost cur = init(0, 0);
	C.push(cur);

	int size;
	bool *check;
	check = new bool [n];
	for(i = 0; i < n; i++){ check[i] = false; }

	while(!C.empty())
	{
		cur = C.top(); C.pop();
		if(check[cur.index]) continue;
		check[cur.index] = true;

		i = cur.index;
		size = adlist[i].size();
		for(j = 0; j < size; j++){
			k = adlist[i][j].first;
			if(d[i] + adlist[i][j].second < d[k]){
				d[k] = d[i] + adlist[i][j].second;
				C.push(init(k, d[k]));
			}
		}
	};
	for(i = 0; i < n; i++){ printf("%d %d\n", i, d[i]); }

	return 0;
}