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 <set>
using namespace std;
    int d[101];
    int G[101][101]={};
void krusta(int n){
    int color[101],l,m;
    for(int i=0;i<n;i++){
        d[i]=1000000;
        color[i]=0;
    }
    d[0]=0;
    while(1){
        m=1000000;
        for(int i=0;i<n;i++){
            if(color[i]!=1 && d[i]<m){
                m=d[i];
                l=i;
            }
        }
        color[l]=1;
        if(m==1000000){
            break;
        }
        for(int i=0;i<n;i++){
            if(color[i]!=1 && G[l][i]!=0 && G[l][i]+d[l]<d[i]){
                d[i]=G[l][i]+d[l];
            }
        }
    }
}
int main(){
    int n,v,k,c,u;
    cin>>n;
    for(int i=1;i<=n;i++){
        cin>>u>>k;
        for(int j=0;j<k;j++){
            cin>>v>>c;
            G[u][v]=c;
        }
    }
    krusta(n);
    for(int i=0;i<n;i++){
        cout<<i<<" "<<d[i]<<endl;
    }
    return 0;
}

C++: #include <queue>
#include <cstdio>
#include <vector>
using namespace std;
int V, E, s, t, p, q, d[100]; vector<pair<int, int> > G[100];
int main() {
	scanf("%d%d", &V, &E);
	for(int i = 0; i < V; i++) {
		scanf("%d%d", &s, &t);
		for(int j = 0; j < t; j++) {
			scanf("%d%d", &p, &q);
			G[i].push_back(make_pair(p, q));
		}
	}
	for(int i = 1; i < V; i++) d[i] = 999999999;
	priority_queue<pair<int, int> > que; que.push(make_pair(0, 0));
	while(!que.empty()) {
		int v = que.top().second; que.pop();
		for(int i = 0; i < G[v].size(); i++) {
			int u = G[v][i].first, w = G[v][i].second;
			if(d[u] > d[v] + w) {
				d[u] = d[v] + w;
				que.push(make_pair(-d[u], u));
			}
		}
	}
	for(int i = 0; i < V; i++) printf("%d %d\n", i, d[i]);
	return 0;
}

C++: #include<iostream>
#include<vector>
#include<algorithm>
#define MAX_V 100
#define INF 1e9
using namespace std;
int cost[MAX_V][MAX_V];
int d[MAX_V];
bool used[MAX_V];
int V;
void dijkstra(int s) {
	for (int i = 0; i < V; i++) {
		d[i] = INF;
		used[i] = false;
	}
	d[s] = 0;
	while (true) {
		int v = -1;
		for (int u = 0; u < V; u++) {
			if (!used[u] && ((v == -1) || d[u] < d[v])) {
				v = u;
			}
		}
		//全ての頂点が到達済み
		if (v == -1) {
			break;
		}
		//集合に新たに頂点を追加
		used[v] = true;
		for (int u = 0; u < V; u++) {
			d[u] = min(d[u], d[v] + cost[v][u]);
		}
	}
}

int main() {
	for (int i = 0; i < V+55; i++) {
		for (int j = 0; j < V+55; j++) {
			cost[i][j] = INF;//iからjへの辺の重さ
		}
	}
	cin >> V;
	for (int i = 0; i < V; i++) {
		int u;
		cin >> u;
		int k;
		cin >> k;
		for (int j = 0; j < k; j++) {
			int v;
			cin >> v;
			int c;
			cin >> c;
			cost[u][v] = c;
		}
	}
	dijkstra(0);

	for (int i = 0; i < V; i++) {
		cout << i << " " << d[i] << endl;
	}
	return 0;
}

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

#define INF (INT64_MAX/2)
typedef pair<long long, int> P;

int main()
{
	int n;
	cin >> n;
	vector<vector<P>> g( n );
	for( int i = 0; i < n; i++ ) {
		int u, k;
		cin >> u >> k;
		g[u].resize( k );
		for( int j = 0; j < k; j++ ) {
			int v, c;
			cin >> v >> c;
			g[u][j] = P( c, v );
		}
	}

	vector<long long> d( n, INF );
	d[0] = 0;
	priority_queue<P, vector<P>, greater<P>> que;
	que.push( P( 0, 0 ) );
	while( !que.empty() ) {
		P p = que.top();
		que.pop();
		int c = p.first;
		int u = p.second;
		for( P e : g[u] ) {
			int cost = e.first;
			int v = e.second;
			if( d[v] <= d[u] + cost ) continue;
			d[v] = d[u] + cost;
			que.push( e );
		}
	}

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

C++: #include <map>
#include <set>
#include <list>
#include <cmath>
#include <queue>
#include <stack>
#include <cstdio>
#include <string>
#include <vector>
#include <complex>
#include <cstdlib>
#include <cstring>
#include <numeric>
#include <sstream>
#include <iostream>
#include <algorithm>
#include <functional>
  
#define mp       make_pair
#define pb       push_back
#define all(x)   (x).begin(),(x).end()
#define rep(i,n) for(int i=0;i<(n);i++)
  
using namespace std;
  
typedef    long long          ll;
typedef    unsigned long long ull;
typedef    vector<bool>       vb;
typedef    vector<int>        vi;
typedef    vector<vb>         vvb;
typedef    vector<vi>         vvi;
typedef    pair<int,int>      pii;
  
const int INF=1<<29;
const double EPS=1e-9;
  
const int dx[]={1,0,-1,0,1,1,-1,-1},dy[]={0,-1,0,1,1,-1,-1,1};



int main() {
    int N;
    cin >> N;
    std::vector<vector<int> > G(N, vector<int>(N, 100000000));
    for (int i = 0; i < N; i++) {
        int u, k;
        cin >> u >> k;
        for (int j = 0; j < k; j++) {
            int v, c;
            cin >> v >> c;
            G[u][v] = c;
        }
    }

    for (int i = 0; i < N; i++) {
        G[i][i] = 0;
    }

    for (int k = 0; k < N; k++) {
        for (int i = 0; i < N; i++) {
            for (int j = 0; j < N; j++) {
                G[i][j] = std::min(G[i][j], G[i][k] + G[k][j]);
            }
        }
    }

    for (int i = 0; i < N; i++) {
        cout << i << " " << G[0][i] << endl;
    }
    return 0;
}