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 <iomanip>
#include <vector>
#include <set>
#include <string>
#include <queue>
#include <algorithm>
#include <map>
#include <cmath>
#include <list>
#include <stack>
#include <cstdio>
#include <cstdlib>
#include <cstring>

#define rep(i, n) for (int i = 0; i < n; i++)

using namespace std;
typedef vector<int> vi;
typedef pair<int, int> pii;

const int INF = 1 << 30;
const int MOD = 1000000007;
const int MAX = 100000;
const int N = 100;

vector<pii> G[N];
int d[N];

int main() {
	int n; cin >> n;
	rep(i, n) {
		int _, n2; cin >> _ >> n2;
		rep(j, n2) {
			int v, c; cin >> v >> c;
			G[i].push_back(pii(c, v));
		}
	}
	rep(i, n) d[i] = INF;

	priority_queue<pii, vector<pii>, greater<pii>> Q;
	d[0] = 0;
	Q.push(pii(0, 0));
	while (!Q.empty()) {
		pii p = Q.top(); Q.pop();
		for (auto i : G[p.second]) {
			if (d[i.second] <= d[p.second] + i.first) continue;
			d[i.second] = d[p.second] + i.first;
			Q.push(i);
		}
	}
	rep(i, n) cout << i << ' ' << d[i] << endl;
}

C++: #include<iostream>
using namespace std;
static const int MAX=100;
static const int INF=(1<<21);
static const int APE=0;
static const int MID=1;
static const int BOT=2;

int n, M[MAX][MAX];

void dijkstra(){
  int mv, i, u, v;
  int d[MAX], c[MAX];

  for(i=0;i<n;i++){
    d[i]=INF;
    c[i]=APE;
  }

  d[0]=0;
  c[0]=MID;
  while(1){
    mv=INF;
    u=-1;
    for(i=0;i<n;i++){
      if(mv>d[i]&&c[i]!=BOT){
        u=i;
        mv=d[i];
      }
    }
    if(u==-1)break;
    c[u]=BOT;
    for(v=0;v<n;v++){
      if(c[v]!=BOT&&M[u][v]!=INF){
        if(d[v]>d[u]+M[u][v]){
          d[v]=d[u]+M[u][v];
          c[v]=MID;
        }
      }
    }
  }
  for(i=0;i<n;i++){
    cout<<i<<" "<<(d[i]==INF ? -1 : d[i])<<endl;
  }
}

int main(){
  int i, j, k, c, u, v;

  cin>>n;
  for(i=0;i<n;i++){
    for(j=0;j<n;j++){
      M[i][j]=INF;
    }
  }

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

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

C++: #include<iostream>
#include<cstdio>
#include<cstring>
#define INF 2100
using namespace std;
int n;
int A[1000][1000];
int d[1000];
bool used[1000];
int D[1000][1000];
 
void Init(int f){
  for(int i=0;i<f;i++){
    for(int j=0;j<f;j++)D[i][j] = INF;
  }
 
}
 
int main(){
  scanf("%d",&n);
  int u,k,C,V;
  Init(n);
  
  for(int i=0;i<n;i++){
      scanf("%d %d",&u,&k);     
      for(int j=0;j<k;j++){
    scanf("%d %d",&V,&C);
    D[u][V] = C;
    D[V][u] = C;
      }     
  }
   
  for(int i=0;i<n;i++)D[i][i] = 0;
  for(int k=0;k<n;k++)for(int i=0;i<n;i++)for(int j=0;j<n;j++)D[i][j] = min(D[i][j],D[i][k] + D[k][j]); 
  for(int i=0;i<n;i++){
    printf("%d %d\n",i,D[0][i]);
  }
 
  return 0;
}