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<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;
}