Go: package main

import (
	"bufio"
	"container/heap"
	"fmt"
	"os"
	"strconv"
)

const NIL = -1

type Node struct {
	id     int
	weight int
}

func init() {
	sc.Split(bufio.ScanWords)
}

type NodeHeap []Node

func (h NodeHeap) Len() int           { return len(h) }
func (h NodeHeap) Less(i, j int) bool { return h[i].weight < h[j].weight }
func (h NodeHeap) Swap(i, j int)      { h[i], h[j] = h[j], h[i] }

func (h *NodeHeap) Push(x interface{}) {
	*h = append(*h, x.(Node))
}

func (h *NodeHeap) Pop() interface{} {
	old := *h
	n := len(old)
	x := old[n-1]
	*h = old[0 : n-1]
	return x
}

var sc = bufio.NewScanner(os.Stdin)

func scanInt() int {
	num, _ := strconv.Atoi(scanString())
	return num
}

func scanString() string {
	sc.Scan()
	return sc.Text()
}

func init() {
	sc.Split(bufio.ScanWords)
}

func main() {
	n := scanInt()

	route := make([][]Node, n)
	weight := make([]int, n)
	for i := 0; i < n; i++ {
		weight[i] = NIL
	}

	for i := 0; i < n; i++ {
		u := scanInt()
		k := scanInt()
		route[i] = make([]Node, k)
		for j := 0; j < k; j++ {
			route[u][j] = Node{id: scanInt(), weight: scanInt()}
		}
	}

	start := Node{id: 0, weight: 0}
	h := &NodeHeap{start}
	heap.Init(h)

	for h.Len() > 0 {
		node := heap.Pop(h).(Node)
		if weight[node.id] != NIL {
			continue
		}
		weight[node.id] = node.weight

		for _, nextNode := range route[node.id] {
			if weight[nextNode.id] != NIL {
				continue
			}
			nextNode.weight += node.weight
			heap.Push(h, nextNode)
		}
	}

	for i, w := range weight {
		fmt.Println(i, w)
	}
}

C++: //ALDS1_12_cにて、AC
#include<bits/stdc++.h>
using namespace std;
const int INF = 1 << 30;
int main(){
  int n;
  cin>>n;
  vector<pair<int,int> > adj[10005]; //重み付き有向グラフの隣接リスト表現
  //隣接リストの作成
  int u,k;
  for(int i=0;i<n;i++){
    cin>>u>>k;
    for(int j=0;j<k;j++){
      int v,c;
      cin>>v>>c;
      adj[u].emplace_back(v,c);
    }
  }

  //ここからダイクストラ
  priority_queue<pair<int,int>,vector<pair<int,int> >,greater<pair<int,int> > > pq;
  vector<bool> fg(n+1000);
  vector<int> cost(n+1000);
  //初期化
  for(int i=0;i<n;i++){
    cost[i]=INF;
    fg[i]=false;
  }
  //出発地点はコスト0
  cost[0]=0;
  pq.emplace(0,0);
 
  //最短経路を検出
  while(!pq.empty()){
    auto now=pq.top(); pq.pop();
    int u=now.second;
    fg[u]=true;

    //最小値を取り出し、それが最短でなければ無視
    if(cost[u]<now.first) continue;
    
    //次の辺へ移動
    for(int j=0;j<adj[u].size();j++){
      int v=adj[u][j].first;
      if(fg[v]) continue;
      if(cost[v]>cost[u]+adj[u][j].second){
        cost[v]=cost[u]+adj[u][j].second;
        pq.emplace(cost[v],v);
      }
    }
  }

  for(int i=0;i<n;i++){
    cout<<i<<" "<<(cost[i]==INF ? -1 : cost[i])<<'\n';
  }
  return(0);
}

C++: #include <stdio.h>
#include <queue>
#include <vector>
#include <functional>

#define N 100
#define INF 100000000
#define MIN(a,b) ((a>b)?(b):(a))

using namespace std;


class list {
public:
	int cost;
	int node;
	int from;
	list(void) {
		cost = -1;
		node = -1;
		from = -1;
	}
};

bool operator<(const list& y,const list& x) {
	return (y.cost < x.cost);
};
bool operator>(const list& y,const list& x) {
	return (y.cost>x.cost);
};

list m[N][N];
bool visited[N];
int sum = 0;
int dist[N];

int main(void) {
	priority_queue<list, vector<list>, greater<list> > pq;
	int n;
	int now;
	int work;
	int k[N];
	int u;
	scanf("%d", &n);
	for (int i = 0; i<n; i++) {
		visited[i] = false;
		dist[i] = INF;
		scanf("%d", &u);
		scanf("%d", &k[u]);
		for (int j = 0; j < k[u]; j++) {
			int a, b;
			scanf("%d", &a);
			scanf("%d", &b);
			m[u][j].cost = b;
			m[u][j].node = a;
		}
	}
	now = 0;
	dist[now] = 0;
	while (1) {
		//printf("I'm in %d\n", now);
		bool f = visited[now];
		visited[now] = true;
		for (int j = 0; j<k[now] && !f; j++) {
				list a;
				a.cost = m[now][j].cost;
				a.node = m[now][j].node;
				a.from=now;
				pq.push(a);
				//printf("I pushed %d %d\n", a.node, a.cost);
		}
		//system("pause");
		list x;
		while (!pq.empty()) {
			if (visited[(pq.top()).node] == false || visited[(pq.top()).node]==true) {
				x = pq.top();
				//printf("I got %d %d %d %d\n", x.node, x.cost,sum,x.from);
				pq.pop();
				now = x.node;
				sum += x.cost;
				dist[now] = MIN(dist[x.from]+x.cost,dist[now]);
				break;
			}
			else pq.pop();
		}
		if (x.node == -1)break;
	}
	for (int i = 0; i < n; i++) printf("%d %d\n", i, dist[i]);
	return 0;
}

C++: #include<bits/stdc++.h>
using namespace std;
const int MAXN = 1e5+7;
const int INF = 1e6+7;
vector<pair<int, int> > adj[MAXN];
priority_queue<pair<int, int> > q;

int d[MAXN];
bool visit[MAXN];
int n;
set<int> s;
void djas() {
    d[0] = 0;
    for(int i = 1; i < n; i++) {
        d[i] = INF;
    }
    q.push(make_pair(0, 0));
    while(!q.empty()) {
        pair<int, int> s1 = q.top(); q.pop();
        int u = s1.second;
        visit[u] = true;
        for(int j = 0; j < adj[u].size(); j++) {
            int v = adj[u][j].second;
            if(visit[v]==false) {
                if(d[v]>d[u]+adj[u][j].first) {
                    d[v] = d[u]+adj[u][j].first;
                    q.push(make_pair((-1)*d[v],v));
                }
            }
        }
    }
}
int main() {
//    freopen("in.txt", "r", stdin);
    memset(visit, false, sizeof(visit));
    scanf("%d", &n);
    int v;
    int c;
    int id;
    int degree;
    for(int i = 0; i < n; i++) {
        scanf("%d", &id);
        scanf("%d", &degree);
        for(int j = 0; j < degree; j++) {
            scanf("%d", &v);
            scanf("%d", &c);
            adj[id].push_back(make_pair(c,v));
        }
    }
    djas();
    for(int i = 0; i < n; i++) {
        printf("%d %d\n", i, d[i]);
    }

    return 0;
}

C++: #include <cstdio>
#include <cctype>
#include <climits>
#include <vector>
#include <queue>
using namespace std;

#define si static inline
#define gcu getchar_unlocked
si int in() {
	int c, n = 0;
	bool minus = false;
	if ((c = gcu()) == '-') minus = true; else ungetc(c, stdin);
	while ((c = gcu()) >= '0' && c <= '9') n = 10 * n + (c - '0');
	//return n; }
	return minus ? -n : n; }
si void scan(char *s) {while (!isspace(*s++ = gcu()));}
#define pcu putchar_unlocked
#define svo si void out
template <typename T>
svo(T n) {
	static char buf[20];
	char *p = buf;
	//if(n < 0) pcu('-'), n *= -1;
	if (!n) *p++ = '0';
	else while (n) *p++ = n % 10 + '0', n /= 10;
	while (p != buf) pcu(*--p); }
svo(const char *s){while(*s)pcu(*s++);}
svo(char *s){while(*s)pcu(*s++);}
svo(char c){pcu(c);}
template <typename T>
//svo(vector<T> &v){for(T &x:v)out(' '),out(x);out('\n');}
svo(vector<T> &v){for(T &x:v)out(&x == &v[0]?"":" "),out(x);out('\n');}
template <typename head, typename... tail>
svo(head&& h, tail&&... t){out(h);out(move(t)...);}
#undef svo
#undef si

#define v vector
struct graph {
	struct node {int n, w;};
	v<v<node>> nodes;

	void read(int n) {
		nodes.resize(n);
		for (auto &x: nodes) {
			in();
			for (int k = in(); k--;) {
				int c = in();
				x.push_back({c, in()});
			}
		}
	}

	v<node> dks() {
		v<node> w(nodes.size(), {0, INT_MAX});
		w[0].w = 0;
		priority_queue<node> q;
		q.push({0, 0});
		while (!q.empty()) {
			node n = q.top();
			q.pop();
			if (w[n.n].n)
				continue;
			w[n.n].n = 1;
			for (node &x: nodes[n.n]) {
				int a = n.w + x.w;
				if (w[x.n].w > a) {
					w[x.n].w = a;
					q.push({x.n, a});
				}
			}
		}
		return move(w);
	}
};

bool operator < (const graph::node &a, const graph::node &b) {
	return a.w > b.w;
}

int main() {
	graph g;
	g.read(in());
	int i = 0;
	for (auto &x: g.dks())
		out(i++, ' ', x.w, '\n');
}