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 <cstring>
#define MAX 120000
using namespace std;

int matrix[105][105],n,closest[105],close[105];

void djst(){
    int i,j,k;
    for(i=1;i<n;i++){
        if(matrix[0][i]!=-1)close[i]=matrix[0][i];
    }
    while(1){
        int mi=MAX,rec=-1;
        for(i=1;i<n;i++){
            if(close[i]!=-1&&close[i]<mi&&closest[i]==-1){
                mi=close[i];
                rec=i;
            }
        }
        if(rec==-1)break;
        closest[rec]=mi;
        close[rec]=MAX;
        for(j=1;j<n;j++){
            if(closest[j]==-1&&matrix[rec][j]!=-1){
                if(mi+matrix[rec][j]<close[j]||close[j]==-1)close[j]=mi+matrix[rec][j];
            }
        }
    }
}
int main(){
    memset(close,-1,sizeof(close));//memset??????????????¨0???-1???????????°???????§????
    memset(closest,-1,sizeof(closest));
    memset(matrix,-1,sizeof(matrix));
    int i,j;
    cin>>n;
    for(i=0;i<n;i++){
        int a,b;
        cin>>a>>b;
        for(j=0;j<b;j++){
            int c,d;
            cin>>c>>d;
            matrix[a][c]=d;
        }
    }
    closest[0]=0;
    djst();
    for(i=0;i<n;i++){
        cout<<i<<" "<<closest[i]<<endl;
    }
    return 0;
}

C++: #include <iostream>
#include <algorithm>
#define N 100
#define INF (1<<30)
using namespace std;

int n, M[N][N], d[N], color[N] = {0};

void Dijk(int s) {
	int min;
	for (int i = 0;i < n;i++) d[i] = INF;
	d[s] = 0;
	while (true) {
		int u=-1;
	    min = INF;
		for (int i = 0;i < n;i++) {
			if (color[i] == 0 && d[i] < min)
				min = d[i];
			    u = i;
		}

		if (u==-1) break;

		color[u] = 1;

		for (int v = 0;v < n;v++) {
			if (color[v] == 0 && M[u][v] != INF)
				if (d[v] > d[u] + M[u][v]) {
					d[v] = d[u] + M[u][v];
				}
		}
	}

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

}

int main() {

	for (int i = 0;i < N;i++)
		for (int j = 0;j < N;j++) M[i][j] = INF;

	cin >> n;
	for (int i = 0;i < n;i++) {
		int u,v;
		cin >> u;
		int k;
		cin >> k;
		for (int j = 0;j < k;j++) {
			cin >> v;
			cin >> M[u][v];
		}
	}

	Dijk(0);

}

C++: #include<iostream>
#include<algorithm>
using namespace std;
typedef long long ll;
const ll inf=99999999999999999;
#define rep(i,t,n) for(int i=t;i<n;i++)
const int maxn=1e2+7;
ll d[maxn][maxn];
int main(){
    int a,n,m,x;ll z;
    scanf("%d",&n);
    rep(i,0,n) rep(j,0,n) d[i][j]=inf;
    rep(i,0,n) d[i][i]=0;
    rep(i,0,n){
        scanf("%d%d",&a,&m);
        rep(j,0,m){
            scanf("%d%lld",&x,&z);
            d[a][x]=min(d[a][x],z);
        }
    }
    if(n==1){
        printf("0 0\n");
        return 0;
    }
    rep(k,0,n) rep(i,0,n) rep(j,0,n) d[i][j]=min(d[i][j],d[i][k]+d[k][j]);
    rep(i,0,n) printf("%d %lld\n",i,d[0][i]);
    return 0;
}

C++: #include <bits/stdc++.h>
using namespace std;

typedef long long ll;

struct Edge {
    ll t,w;
};

struct State {
    ll v;
    ll score;
    bool operator < (const State& tgt) const {
	return score > tgt.score;
    }
};

vector<ll> dijkstra(vector<vector<Edge>>& G, const int start) {
    const ll V = G.size();

    vector<ll>res(V,INT_MAX);
    priority_queue<State> q;
    q.push( State{0,0} );
    while( q.size() ) {
	State s = q.top(); q.pop();
	if( res[s.v] != INT_MAX ) continue;
	res[s.v] = s.score;
	for(auto& e : G[s.v]) {
	    if( res[e.t] != INT_MAX ) continue;
	    q.push( State{e.t, s.score + e.w} );
	}
    }
    return res;
}


int main () {

    ll V; cin >> V;
    vector<vector<Edge>> G(V);
    for(int i=0; i<V; i++) {
	ll u,k; cin >> u >> k;
	for(int j=0; j<k; j++) {
	    ll v,w; cin >> v >> w;
	    G[i].push_back( Edge{v,w} );
	}
    }
    vector<ll> res = dijkstra(G,0);
    for(int i=0; i<V; i++) {
	cout << i << " " << res[i] << endl;
    }    
    return 0;
}

C++: #include<iostream>
using namespace std;
static const int MAX = 100;
static const int INFTY = 1000001;
static const int WHITE = 0;
static const int GRAY = 1;
static const int BLACK = 2;

//Mは隣接行列
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];
            }
        }
        //cout << "u=" << u << endl;
        if(u == -1) break;
        color[u] = BLACK;
        //d[i]にBLACkからiへの最短経路を入れる
        for(int i=0;  i<n; i++){
            if(color[i]!=BLACK) d[i] = min(M[u][i]+d[u], d[i]);
        }
    }
    for(int i=0; i<n; i++){
        cout << i << " " << d[i] << endl;
    }
}

int main(){
    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;
}