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++: #define _USE_MATH_DEFINES
#include "bits/stdc++.h"
using namespace std;

//#define int long long
#define DBG 1
#define dump(o) if(DBG){cerr<<#o<<" "<<o<<endl;}
#define dumpc(o) if(DBG){cerr<<#o; for(auto &e:(o))cerr<<" "<<e;cerr<<endl;}
#define rep(i,a,b) for(int i=(a);i<(b);i++)
#define rrep(i,a,b) for(int i=(b)-1;i>=(a);i--)
#define each(it,c) for(auto it=(c).begin();it!=(c).end();it++)
#define all(c) c.begin(),c.end()
const int INF = sizeof(int) == sizeof(long long) ? 0x3f3f3f3f3f3f3f3fLL : 0x3f3f3f3f;
const int MOD = (int)(1e9 + 7);
const int W = 0; const int B = 1;
int n;
vector<vector<pair<int, int>>>M;
void dijkstra() {
	int minv;
	vector<int>d(n, INF), color(n, W);
	d[0] = 0;
	while (1) {
		minv = INF;
		int u = -1;
		rep(i, 0, n) {
			if (color[i] != B&&d[i] < minv) {
				u = i;
				minv = d[i];
			}
		}
		if (u == -1)break;
		color[u] = B;
		rep(v, 0, M[u].size()) {
			pair<int, int>t(M[u][v]);
			if (color[t.first] != B&&d[u] + t.second < d[t.first]) {
				d[t.first] = d[u] + t.second;
			}
		}
	}
	rep(i, 0, n) {
		cout << i << " " << d[i] << endl;
	}
}
signed main() {
	cin >> n; M = vector<vector<pair<int, int>>>(n, vector<pair<int, int>>());
	rep(i, 0, n) {
		int u, k; cin >> u >> k;
		rep(j, 0, k) {
			int v, c; cin >> v >> c;
			M[u].push_back(make_pair(v, c));
		}
	}
	dijkstra();
	return 0;
}

C++: /*
 * b.cc: 
 */

#include<cstdio>
#include<cstdlib>
#include<cstring>
#include<cmath>
#include<iostream>
#include<string>
#include<vector>
#include<map>
#include<set>
#include<stack>
#include<list>
#include<queue>
#include<deque>
#include<algorithm>
#include<numeric>
#include<utility>
#include<complex>
#include<functional>

using namespace std;

/* constant */

const int MAX_N = 100;
const int INF = 1 << 30;

/* typedef */

typedef pair<int,int> pii;
typedef vector<pii> vpii;

/* global variables */

vpii nbrs[MAX_N];
int dists[MAX_N];

/* subroutines */

/* main */

int main() {
  int n;
  cin >> n;

  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;
      nbrs[u].push_back(pii(v, c));
    }
  }

  for (int i = 0; i < n; i++) dists[i] = INF;
  dists[0] = 0;

  priority_queue<pii> q;
  q.push(pii(0, 0));

  while (! q.empty()) {
    pii u = q.top(); q.pop();
    int ud = -u.first, &ui = u.second;
    if (dists[ui] != ud) continue;

    vpii& nbru = nbrs[ui];
    for (vpii::iterator vit = nbru.begin(); vit != nbru.end(); vit++) {
      int &vi = vit->first, vd = ud + vit->second;
      if (dists[vi] > vd) {
	dists[vi] = vd;
	q.push(pii(-vd, vi));
      }
    }
  }

  for (int i = 0; i < n; i++) printf("%d %d\n", i, dists[i]);

  return 0;
}

C++: #include <bits/stdc++.h>
#include <string.h>
#include <cmath>
#define mp make_pair
#define pb push_back
#define f first
#define s second
#define lb lower_bound
#define ub upper_bound
#define max3(A,B,C) max((A),max((B),(C)))
#define popcount(X) __builtin_popcount(X)
#define popcountl(X) __builtin_popcountl(X)
#define getbit(x,i) (1&((x)>>(i)))
#define setbit(x,i,bit) ((x)|=((bit)<<(i)))
#define getbitl(x,i) (1&((x)>>((ll)i)))
#define setbitl(x,i,bit) ((x)|=((bit)<<((ll)i)))
#define log2(x) (32 - __builtin_clz(x))
#define log2l(x) (32 - __builtin_clzl(x))

using namespace std;

typedef long long int ll;
typedef unsigned long long int ull;
typedef pair<ll,ll> ii;
typedef vector<ll> vi;
typedef vector<ii> vii;
typedef vector<vi> vvi;
typedef vector<vii> vvii;

const int INF = 0x3f3f3f3f;
const long long int INFL = 0x3f3f3f3f3f3f3f3f;
const double pi = atan(1.0)*4.0;
const int N = 3e5 + 500;

int dist[N], mrc[N];
vii v[N];
set<ii> st;

void Dijkstra(int o) {
	memset(dist,INF,sizeof(dist));
	dist[o] = 0;
	st.clear();
	st.insert(mp(0,o));
	memset(mrc,0,sizeof(mrc));
	while(!st.empty()) {
		set<ii>::iterator it = st.begin();
		if(mrc[it->s] == 0) {
			mrc[it->s] = 1;
			dist[it->s] = it->f;
			for(int i = 0; i < v[it->s].size(); i++) {
				st.insert(mp(dist[it->s] + v[it->s][i].s,v[it->s][i].f));
			}
		}
		st.erase(it);
	}
}

int main(void) {
	int n;
	
	scanf("%d", &n);
	
	for(int i = 0; i < n; i++) {
		int u, k;
		scanf("%d %d", &u, &k);
		for(int j = 0; j < k; j++) {
			int vt, c;
			scanf("%d %d", &vt, &c);
			v[u].pb(mp(vt,c));
		}
	}
	Dijkstra(0);
	for(int i = 0; i < n; i++) {
		printf("%d %d\n", i, dist[i]);
	}
	
	return 0;
}

C++: #include <queue>
#include <algorithm>
#include <cstdio>
#define INF 100000000
//#define MAX_E 100
#define MAX_V 105
using namespace std;

struct edge{int to, cost;};
typedef pair<int,int> P;

int V; //????????°
vector<edge> G[MAX_V];
int d[MAX_V];

void dijkstra(int s){
  priority_queue<P,vector<P>,greater<P> > que;
  fill(d,d+V,INF);
  d[s]=0;
  que.push(P(0,s));
  while(!que.empty()){
    P p=que.top();que.pop();
    int v=p.second;
    if(d[v]<p.first)continue;
    for(int i=0;i<G[v].size();i++){
      edge e=G[v][i];
      if(d[e.to]>d[v]+e.cost){
        d[e.to]=d[v]+e.cost;
        que.push(P(d[e.to],e.to));
      }
    }
  }
}

int main(){
  int n,u,k;
  edge e;
  scanf("%d",&n);
  V=n;
  for(int i=0;i<n;i++){
    scanf("%d%d",&u,&k);
    for(int j=0;j<k;j++){
      scanf("%d%d",&e.to,&e.cost);
      G[u].push_back(e);
    }
  }
  dijkstra(0);
  for(int i=0;i<n;i++){
    printf("%d %d\n",i,d[i]);
  }
  return 0;
}