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<cstdio>
#include<climits>
using namespace std;
 
#define N 10000
int n;
 
int g[N][N];
 
int weight[N];
bool us[N];
 
//prim
void prim(){
 
  int v;
  
  weight[0]=0;
   
  while(true){
    v=-1;
    
    for(int i=0;i<n;i++){
      if(us[i]!=true && (v==-1 ||weight[i]<weight[v]))v=i;
    }
 
    if(v==-1)break;
    us[v]=true;
  
 
    for(int i=0;i<n;i++){
      if(weight[i]>(g[v][i]+weight[v])){
 
        weight[i]=(g[v][i]+weight[v]);
        //      cout <<"fsafa"<<endl;
      }
    }
  }
  
}
 
 
int main(){
 
  int u,k1,c,v;
 
  for(int i=0;i<N;i++){
    for(int j=0;j<N;j++){
      g[i][j]=9953535;
    }
  }
 
  //load n
  cin >>n;
 
  //load data
  for(int i=0;i<n;i++){
    weight[i]=INT_MAX;
    us[i]=false;
    scanf("%d %d",&u,&k1);
    for(int j=0;j<k1;j++){
      scanf("%d %d",&v,&c);
      g[u][v]=c;
      //    cout <<g[i][j]<<" ";
    }
    //    cout <<endl;
  }
 
 
 
 
  //print
  prim();
 
  for(int i=0;i<n;i++){
    cout <<i<<" "<<weight[i]<<endl;
  }
  return 0;
 
}

C++: #include <iostream>
using namespace std;

static const int MAX=100;
static const int WHITE=0;
static const int GRAY=1;
static const int BLACK=2;
static const int INF=(1<<21);

int n,M[MAX][MAX];

void dig(){
  int color[MAX],d[MAX];
  for(int i=0;i<n;i++){
    color[i]=WHITE;
    d[i]=INF;
  }


d[0]=0;
color[0]=GRAY;

int minc,u;
while(1){
  minc=INF;
  u=-1;
  for(int i=0;i<n;i++){
    if(color[i]!=BLACK&&minc>d[i]){
      minc=d[i];
      u=i;
    }
  }
if(u==-1) break;
  color[u]=BLACK;

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

 for(int i=0;i<n;i++){
   cout<<i<<" "<<(d[i]==INF?-1:d[i])<<endl;
 }
}
int main(){
  cin>>n;
  for(int i=0;i<n;i++){
    for(int j=0;j<n;j++){
      M[i][j]=INF;
    }
  }

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

  dig();
  return 0;
}

C++: #include<iostream>
using namespace std;
static const int INF=(1<<21);
int M[100][100];
void dij(int n, int d[], int color[]){
	d[0]=0;
	color[0]=1;
	int minv;
	while(1){
		minv=INF;
		int u=-1;
		for(int i=0; i<n; i++){
			if(minv>d[i] && color[i]!=2){
				u=i;
				minv=d[i];
			}
		}
		if(u==-1)
			break;
		color[u]=2;
		for(int v=0; v<n; v++){
			if(color[v] !=2 & M[u][v]!=INF){
				if(d[v]>d[u]+M[u][v]){
					d[v]=d[u]+M[u][v];
					color[v]=1;
				}
			}
		}
	}
}
int main(){
	int n;
	cin>>n;
	for(int i=0; i<n; i++){
		for(int j=0; j<n; j++){
			M[i][j]=INF;
		}
	}
	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;
		}
	}
	int d[n], color[n];
	for(int i=0; i<n; i++){
		d[i]=INF;
		color[i]=0;
	}
	dij(n, d, color);
	for(int i=0; i<n; i++){
		cout<<i<<" ";
		if(d[i]==INF)
			cout<<-1<<endl;
		else
			cout<<d[i]<<endl;
	}
	return 0;
}

C++: #include <iostream>
#include <cstdio>
#include <cstdlib>
#include <cassert>
#include <string>
#include <cstring>
#include <vector>
#include <list>
#include <map>
#include <set>
#include <stack>
#include <queue>
#include <algorithm>

using namespace std;

// ---------------------
// repetition
#define FOR(i,a,b) for(int i=(a);i<(b);++i)
#define REP(i,n) FOR(i,0,n)

// debug
#define dump(x)  cerr << #x << " = " << (x) << endl;
#define debug(x) cerr << #x << " = " << (x) << " (L" << __LINE__ << ")" << " " << __FILE__ << endl;

// ---------------------
#define INF (1 << 21)
typedef long long ll;

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

  vector<int> V[n];
  int E[n][n];
  int d[n];
  int visited[n];

  REP(x, n) {
    REP(y, n) {
      E[x][y] = INF;
    }
    d[x] = INF;
    visited[x] = 0;
  }

  REP(_, n) {
    int u, k;
    cin >> u >> k;
    REP(__, k) {
      int v, c;
      cin >> v >> c;
      V[u].push_back(v);
      E[u][v] = c;
      // E[v][u] = c;
    }
  }

  d[0] = 0;
  REP(_, n) {
    int minv = -1;
    int mincost = INF;
    REP(v, n) {
      if (!visited[v] && d[v] < mincost) {
        minv = v;
        mincost = d[v];
      }
    }
    visited[minv] = 1;
    for (vector<int>::iterator it = V[minv].begin(); it != V[minv].end(); it++) {
      if (E[minv][*it] < INF && d[minv] + E[minv][*it] < d[*it]) {
        d[*it] = d[minv] + E[minv][*it];
      }
    }
  }

  REP(i, n) {
    cout << i << " " << d[i] << endl;
  }
  return 0;
}

C++: #include <iostream>
#include <vector>
#include <algorithm>
using namespace std;
const int INF=(int)1e9;

int main(){
    //入力パート
    int n; cin>>n;
    vector<pair<int,int>> tonari[110]; //隣接リスト 一つ目が行先の頂点で二つ目が辺のコスト
    vector<int> dist(n,INF); //各頂点の（暫定）最短距離を格納
    vector<bool> det(n,false); //各頂点の最短距離が確定しているか格納
    for(int i=0;i<n;++i){
        int u,k,c,v;
        cin>>u>>k;
        for(int j=0;j<k;++j){
            cin>>c>>v;
            tonari[u].push_back(make_pair(c,v));
        }
    }
    //探索パート
    dist[0]=0; //出発地点の最短距離は0
    for(int i=0;i<n;++i){
        int mini=INF,mini_node=-1; //未確定点の最短距離とその頂点番号を格納
        for(int j=0;j<n;++j){ //最短距離が最小の点を探索
            if(det[j]) continue; //確定している点は対象外
            if(dist[j]<mini){
              mini=dist[j];
              mini_node=j;
            }
        }
        det[mini_node]=true; //最短距離を確定させる
        for(pair<int,int> tsugi:tonari[mini_node]){
            dist[tsugi.first]=min(dist[tsugi.first],dist[mini_node]+tsugi.second); //隣接ノードの値の更新
        }
    }
    
    //出力パート
    for(int i=0;i<n;++i){
        cout<<i<<" "<<dist[i]<<endl;
    }
    return 0; 
}