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++: //さっさと済ませられるところはさっさと済ましてしまう．ただし注意深く
#include <cstdio>
#include <iostream>
#define MAX_VERTEXES 100
#define NIL -1
#define INFTY 20000000// >100*100000

using namespace std;

//think easy make easy

int n;//num of vertexes(頂点)
int matrix_graph[MAX_VERTEXES+1][MAX_VERTEXES+1];//0オリジン
bool vertex_set[MAX_VERTEXES+1];///0オリジン
int current_mincost[MAX_VERTEXES+1];//現時点での各頂点への最小コスト
bool candidate[MAX_VERTEXES+1];//次にvertex_setに加える頂点の候補
int new_vertex;

void findNextVertex(){
	int min_tmp=INFTY;
	int next_tmp = NIL;
	
	for(int i=0;i<n;i++){
		for(int j=0;j<n;j++){
			if(i == new_vertex && vertex_set[j] == false){//わかりやすいプログラムほど処理もすくない.
				//無駄のないプログラムの方がわかりよい
				if(matrix_graph[i][j]+current_mincost[i] < current_mincost[j]
				   && matrix_graph[i][j] != NIL){
					   current_mincost[j]  = matrix_graph[i][j]+current_mincost[i];
					   candidate[j] = true;
				}
			}
		}
	}
	for(int i=0;i<n;i++){
		if(candidate[i] == true && current_mincost[i] < min_tmp){
			min_tmp = current_mincost[i];
			next_tmp = i;
		}
	}
	vertex_set[next_tmp] = true;
	candidate[next_tmp] = false;
	new_vertex = next_tmp;
}

int main(){
	scanf("%d",&n);

	int v_num;
	int k;//v_numの出次数

	for(int i=0;i<n;i++){
		for(int j=0;j<=n;j++){
			matrix_graph[i][j] = NIL;
		}
	}

	for(int i=0;i<n;i++){
		scanf("%d",&v_num);
		scanf("%d",&k);

		for(int j=0;j<k;j++){
			int v_num2;
			int cst;
			scanf("%d",&v_num2);
			scanf("%d",&cst);
			matrix_graph[v_num][v_num2] = cst;
		}
	}

	for(int i=0;i<n;i++){
		vertex_set[i] = false;
		current_mincost[i] = INFTY;
	}
	/*確認用
	for(int i=0;i<n;i++){
		for(int j=0;j<n;j++){
			if(j<n-1) printf("%d ",matrix_graph[i][j]);
			else printf("%d\n",matrix_graph[i][j]);
		}
	}
	*/

	for(int i=0;i<n;i++){
		candidate[i] = false;
	}

	vertex_set[0] = true;
	current_mincost[0] = 0;
	new_vertex = 0;

	for(int i=1;i<n;i++){
		//for(int j=0;j<n;j++){
			//cout <<" " <<vertex_set[j] ;
		//}
		cout <<endl;
		findNextVertex();
	}


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


	return 0;
}

C++: #include<iostream>
#include<vector>
using namespace std;
const int MAX = 100;
const int INF = 200000;
int n, G[MAX][MAX];
int dis[MAX];
bool book[MAX] = { false };
void init()
{
	for (int i = 0; i < n; i++)
		dis[i] = G[0][i];
	book[0] = true;
}
void dijkstra()
{
	for (int k = 1; k <= n - 1; k++)
	{
		int min = INF;
		int u;
		for (int j = 0; j < n; j++)
			if (dis[j] > 0 && dis[j] < INF && !book[j] && dis[j] < min)
			{
				min = dis[j];
				u = j;
			}
		book[u] = true;
		for (int v = 0; v < n; v++)
			if (!book[v] && dis[u]+G[u][v] < dis[v])
				dis[v] = dis[u] + G[u][v];
	}
}
int main()
{
	cin >> n;
	for (int i = 0; i < n; i++)
		for (int j = 0; j < n; j++)
			if (i != j)
				G[i][j] = INF;
			else
				G[i][j] = 0;
	for (int i = 0; i < n; i++)
	{
		int u, d;
		cin >> u >> d;
		for (int j = 0; j < d; j++)
		{
			int v, w;
			cin >> v >> w;
			G[u][v] = w;
		}
	}
	init();
	dijkstra();
	for (int i = 0; i < n; i++)
		cout << i << " " << dis[i] << endl;
}

C++: #include <bits/stdc++.h>

int INF = 900000000;
using pii = std::pair<int, int>;
std::vector<std::vector<pii>> g;
std::vector<bool> visited; 
std::vector<int> c; 
std::priority_queue<pii, std::vector<pii>, std::greater<pii>> q;

int n, p, x, y;
int discard;


int main() {
    std::cin >> n;
    visited.assign(n, false);
    g.assign(n, std::vector<pii>(0));
    c.assign(n, INF);
    for (int i = 0; i < n; i++) {
        std::cin >> discard >> p;
        for (int k = 0; k < p; k++) {
            std::cin >> x >> y;
            g[i].push_back(std::make_pair(y, x));
        }
    }
    q.push(std::make_pair(0, 0));
    c[0] = 0;
    while (!q.empty()) {
        auto e = q.top();
        q.pop();
        for (int j = 0; j < g[e.second].size(); j++) {
            if (c[g[e.second][j].second] < g[e.second][j].first) {
                continue;
            }
            if (c[e.second]+g[e.second][j].first < c[g[e.second][j].second]) {
                c[g[e.second][j].second] = c[e.second]+g[e.second][j].first;
                q.push(g[e.second][j]);
            }
        }
    }
    for (int i = 0; i < n; i++) {
        std::cout << i << " " << c[i] << std::endl;
    }
}

C++: #include <stdio.h>
#include <algorithm>
#include <string.h>
using namespace std;

#define M 10005
#define INF 0x3f3f3f3f

int d[M][M],a[M],n;
bool vis[M];

void dijkstra()
{
    printf("%d!\n",n);
    for(int i=0;i<n;i++){
        if(i == 0) a[i]=0;
        else a[i]=INF;
    }
    memset(vis,0,sizeof(vis));
    for(int i=0;i<n;i++){
        int mark=-1,minn=INF;
        for(int j=0;j<n;j++){
            if(!vis[j]&&a[j]<minn){
                minn=a[j];
                mark=j;
            }
        }
        vis[mark]=1;
        for(int j=0;j<n;j++){
            if(!vis[j]){
                a[j]=min(a[j],a[mark]+d[mark][j]);
            }
        }
    }
    for(int i=0;i<n;i++){
        printf("%d %d\n",i,a[i]);
    }
}

int main()
{
    scanf("%d",&n);
    for(int i=0;i<n;i++){
        for(int j=0;j<n;j++){
            if(j == i)
                d[i][j]=0;
            else
                d[i][j]=INF;
        }
    }
    for(int j=0;j<n;j++){
        int u,k;
        scanf("%d%d",&u,&k);
        for(int i=0;i<k;i++){
            int v,w;
            scanf("%d%d",&v,&w);
            d[u][v]=w;
        }
    }
    dijkstra();
    return 0;
}