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<climits>
#include<vector>
using namespace std;

enum Color{WHITE, GRAY, BLACK};
struct edge{
        int v,c;
        edge(int v, int c): v(v), c(c){}
};

int n;
vector<vector<edge>> a;
int *r;

void shortestPath(){
        int tmpcost[n];
        Color color[n];
        for(int i=0;i<n;i++) tmpcost[i]=INT_MAX;
        for(int i=0;i<n;i++) color[i]=WHITE;
        tmpcost[0] = 0;
        color[0] = GRAY;
        while(1){
                int mincost=INT_MAX, argmin=-1;
                for(int i=0;i<n;i++){
                        if(color[i]!=GRAY) continue;
                        if(mincost>tmpcost[i]){
                                mincost = tmpcost[i];
                                argmin = i;
                        }
                }
                if(argmin==-1) break;
                color[argmin] = BLACK;
                r[argmin] = mincost;

                for(int i=0;i<a[argmin].size();i++){
                        edge e = a[argmin][i];
                        if(color[e.v]==BLACK) continue;
                        color[e.v] = GRAY;
                        tmpcost[e.v] = tmpcost[e.v]<(mincost+e.c)? tmpcost[e.v] : (mincost+e.c);
                }

        }

}
int main(){
        int u,k,v,c;
        cin>>n;
        a = vector<vector<edge>>(n);
        r = new int [n];
        for(int i=0;i<n;i++){
                cin>>u>>k;
                for(int j=0;j<k;j++){
                        cin>>v>>c;
                        a[u].emplace_back(edge(v,c));
                }
        }

        shortestPath();

        for(int i=0;i<n;i++)
                cout<<i<<" "<<r[i]<<endl;
        return 0;
}

C++: #include <iostream>
#include <string>
#include <vector>
#include <queue>
#include <algorithm>

using namespace std;
const int INF = 100000000;

template<typename ISTREAM>
void readWeightedGraphMatrix(ISTREAM& cin, vector< vector<int> >& weightedGraphMatrix) {
	size_t n;
	cin >> n;
	int u, k, v, c;
	weightedGraphMatrix = vector< vector<int> >(n, vector<int>(n, -1));
	for (size_t i = 0; i != n; ++i) {
		cin >> u >> k;
		for (size_t j = 0; j != k; ++j) {
			cin >> v >> c;
			weightedGraphMatrix.at(u).at(v) = c;
		}
	}
}

void printSPST(const vector< vector<int> >& weightedGraphMatrix) {//ShortestPathSpaningTree
	enum Color {
		WHITE, GRAY, BLACK//白は未訪問でTと隣接していない。
		//グレーはTと隣接状態だが未訪問、黒は訪問済み。木は閉路を持たないグラフなので、全域木の計算では
		//各点は1度だけ訪問されるはず。
	};
	const size_t n = weightedGraphMatrix.size();
	vector<Color> color(n,Color::WHITE);
	vector<int> d(n, INF);
	vector<int> p(n, -1);
	color.front() = Color::GRAY;
	d.front() = 0;
	int currentNode = 0;
	while (true) {
		int min = INF;
		int u;
		//TからV-Tへ接続する辺の重みの中で最小のものを求める。
		//同時に、その辺に接続する辺のT内のノードを求める。
		for (size_t i = 0; i != n; ++i) {
			if (color.at(i) == Color::BLACK || color.at(i) == Color::WHITE) continue;//訪問済みはスキップ
			if (d.at(i) >= min)continue;
			min = d.at(i);//TからV-Tの中のノードiへ向かう辺の重みの最小値を更新
			u = i;
		}

		if (min == INF) {
			//ノード０からアクセス可能なすべての点を訪問済みになったらMST構築完了
			break;
		}

		color.at(u) = Color::BLACK;//訪問

		for (int v = 0; v != n; ++v) {
			if (color.at(v) == Color::BLACK) continue;//訪問済みはスキップ
			if (weightedGraphMatrix.at(u).at(v) < 0 ) continue;//辺がない場合はスキップ
			const int distanceToVThroughCurrentU = d.at(u) + weightedGraphMatrix.at(u).at(v);
			if (distanceToVThroughCurrentU >= d.at(v)) continue;
			d.at(v) = distanceToVThroughCurrentU;
			p.at(v) = u;
			color.at(v) = Color::GRAY;
		}
	}
	for (int i = 0; i != n; ++i) {
		cout << i << " " << d.at(i) << endl;
	}
}

template<typename T>
void execute(T& cin) {
	vector< vector<int> > graphList;
	readWeightedGraphMatrix(cin, graphList);
	printSPST(graphList);
}


int main()
{


	execute(cin);
	

	return 0;
}

C++: #include <iostream>
using namespace std;
static const int MAX=100;
static const int INFTY=(1<<21);
static const int WHITE=0;
static const int BLACK=2;
static const int GRAY=1;
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(void){
    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<k;j++){
            cin>>v>>c;
            M[u][v]=c;
        }
    }
    dijkstra();
    return 0;
}