Go: package main

import (
	"fmt"
	"container/heap"
)

type Node struct {
	Id int
	Dis int
}

type PriorityQueue []*Node

func (pq PriorityQueue) Len() int { return len(pq) }

func (pq PriorityQueue) Less(i, j int) bool {
	return pq[i].Dis < pq[j].Dis
}

func (pq PriorityQueue) Swap(i, j int) {
	pq[i], pq[j] = pq[j], pq[i]
}

func (pq *PriorityQueue) Push(x interface{}) {
	*pq = append(*pq, x.(*Node))
}

func (pq *PriorityQueue) Pop() interface{} {
	n := len(*pq)
	pop := (*pq)[n-1]
	*pq = (*pq)[0:n-1]
	return pop
}

func main() {
	var n int
	fmt.Scan(&n)

	g := make([][]int, n)
	c := make([][]int, n)
	pq := make(PriorityQueue, 0, n)
	d := make([]int, n)
	for i := 0; i < n; i++ {
		var u,k int
		fmt.Scan(&u)
		fmt.Scan(&k)
		g[u] = make([]int, k)
		c[u] = make([]int, k)
		for j := 0; j < k; j++ {
			fmt.Scan(&g[u][j])
			fmt.Scan(&c[u][j])
		}

		if u == 0 {
			d[u] = 0
		} else {
			d[u] = 1 << 30
		}
		pq.Push(&Node{u, d[u]})
	}
	heap.Init(&pq)

	for pq.Len() > 0 {
		node := heap.Pop(&pq).(*Node)
		for i := 0; i < len(g[node.Id]); i++ {
			nextId := g[node.Id][i]
			nextDis := node.Dis + c[node.Id][i]
			if nextDis < d[nextId] {
				d[nextId] = nextDis
				heap.Push(&pq, &Node{nextId, nextDis})
			}
		}
	}

	for i := 0; i < n; i++ {
		fmt.Println(i, d[i])
	}
}

C++: //include
//------------------------------------------
#include <iostream>
#include <vector>
#include <list>
#include <map>
#include <set>
#include <queue>
#include <deque>
#include <stack>
#include <bitset>
#include <algorithm>
#include <functional>
#include <numeric>
#include <utility>
#include <sstream>
#include <iomanip>
#include <cstdio>
#include <cmath>
#include <cstdlib>
#include <cctype>
#include <string>
#include <cstring>
#include <ctime>
#include <limits>
using namespace std;

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

//conversion
//------------------------------------------
inline int toInt(string s) {int v; istringstream sin(s);sin>>v;return v;}
template<class T> inline string toString(T x) {ostringstream sout;sout<<x;return sout.str();}

//debug
//-------------------------------------------
#define dump(x)  cerr << #x << " = " << (x) << endl;
#define debug(x) cerr << #x << " = " << (x) << " (L" << __LINE__ << ")" << " " << __FILE__ << endl;
#define INF (1<<21)
#define NOT_VISITED 0
#define FOUND 1
#define VISITED 2

//typedef
//-------------------------------------------
typedef long long ll;
typedef pair<int, int> Pair;

int n;
vector<Pair> g[101];
int d[101];
int p[101];
int visited[101];

int dijkstra(int start) {
    d[start] = 0;
    p[start] = -1;

    while(1) {
        int mincost = INF;
        int u = -1;
        REP(i, n) {
           if (visited[i] != VISITED && d[i] < mincost) {
                mincost = d[i];
                u = i;
            }
        }
        if (u == -1) break;
        visited[u] = VISITED;

        REP(j, n) {
            REP(k, g[u].size()) {
                if (visited[j] != VISITED && g[u][k].first == j) {
                    if (d[u] + g[u][k].second < d[j]) {
                        d[j] = d[u] + g[u][k].second;
                        p[j] = u;
                        visited[j] = FOUND;
                    }
                }
            }
        }
    }
    return 1;
}

int main() {
    cin.tie(0);
    ios::sync_with_stdio(false);

    REP(i, 101) {
        visited[i] = NOT_VISITED;
        d[i] = INF; 
        p[i] = -1;
    }

    cin >> n;
    REP(i, n) {
        int u, k;
        cin >> u >> k;
        REP(j, k) {
            int v, c;
            cin >> v >> c;
            Pair e(v, c);
            g[u].push_back(e);
        }
    }

    dijkstra(0);

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

    return 0;
}

C++: #include<bits/stdc++.h>
using namespace std;
template<class T>bool chmax(T &a, const T &b) { if (a<b) { a=b; return 1; } return 0; }
template<class T>bool chmin(T &a, const T &b) { if (a>b) { a=b; return 1; } return 0; }

const int INF=1e9;

int main()
{
    cin.tie(0);
    ios::sync_with_stdio(false);

    int N; cin>>N;
    vector<vector<int>> dist(N,vector<int>(N,INF));
    for(int i=0;i<N;i++) dist[i][i]=0;
    for(int i=0;i<N;i++){
        int u,k; cin>>u>>k;
        while(k--){
            int v,c; cin>>v>>c;
            chmin(dist[u][v],c);
        }
    }
    for(int k=0;k<N;k++) for(int i=0;i<N;i++) for(int j=0;j<N;j++){
        chmin(dist[i][j],dist[i][k]+dist[k][j]);
    }
    for(int i=0;i<N;i++){
        cout<<i<<' '<<dist[0][i]<<endl;
    }
    return 0;
}

C++: #include<iostream>
#include<vector>
#include<algorithm>
using namespace std;
static const int INFTY=(1<<21);
#define WHITE 0
#define GRAY 1
#define BLACK 2
int n,M[102][102],color[102],d[102];
vector <int> searched;
void search(){
    int minp=0,min;
    while(1){
        min=INFTY;
        for(int i=0;i<n;i++){
            if(M[minp][i]!=INFTY&&color[i]==WHITE) color[i]=GRAY;
        }
        for(int i=0;i<searched.size();i++){
            int a=searched[i];
            for(int j=0;j<n;j++){
                if(color[j]==GRAY&&M[a][j]+d[a]<min){
                    min=M[a][j]+d[a];
                    minp=j;
                }
            }
        }
        if(min==INFTY) break;
        else{
            d[minp]=min;
            color[minp]=BLACK;
            searched.push_back(minp);
        }
    }
    for(int i=0;i<n;i++) cout<<i<<" "<<d[i]<<endl;
}
int main(){
    int u,k,v,c;
    cin>>n;
    for(int i=0;i<n;i++){
        for(int j=0;j<n;j++) M[i][j]=INFTY;
    }
    for(int i=0;i<n;i++){
        color[i]=WHITE;
        d[i]=INFTY;
        cin>>u>>k;
        for(int p=0;p<k;p++){
            cin>>v>>c;
            M[u][v]=c;
        }
    }
    searched.push_back(0);
    color[0]=BLACK;
    d[0]=0;
    search();
    return 0;
}

C++: #include <iostream>
#include <stdio.h>
#include <cstring>
#include <math.h>
#include <algorithm>
#include <vector>
#include <string>
#include <stdlib.h>
#include <queue>
#include <stack>
#include <utility>
#define rep(i,n) for(int i=0;i<n;i++)
#define rrep(i,n) for(int i=n-1;i>=0;i--)
#define FOR(i,a,b) for(int i=a;i<b;i++)
#define ll long long
#define INF 1000000001
#define mod 1000000007
using namespace std;

int main(){
	
	int n,aaa;
	cin>>n;
	vector<vector<int>> v(n),c(n);
	vector<int> k(n),ans(n);
	rep(i,n){
		cin>>aaa>>k[i];
		v[i].resize(k[i]);
		c[i].resize(k[i]);
		rep(j,k[i]){
			cin>>v[i][j]>>c[i][j];
		}
		ans[i]=-1;
	}
	ans[0]=0;
	int m=INF,mi,mj;
	rep(aaaa,n-1){
		m=INF;
		rep(i,n){
			if(ans[i]!=-1){
				rep(j,k[i]){
					if(ans[v[i][j]]==-1 && m>ans[i]+c[i][j]){
						m=ans[i]+c[i][j];
						mi=i;
						mj=j;
					}
				}
			}
		}
		ans[v[mi][mj]]=m;
	}
	rep(i,n){
		cout<<i<<" "<<ans[i]<<endl;
	}
	
}

C++: #include <iostream>
static const int INFTY = (1<<20);
static const int MAX = 100;
static const int WHITE = 0;
static const int BLACK = 1;

int main() {
  int n;
  int M[110][110];
  int d[110];
  int visited[110];
  std::cin >> n;
  for(int i=0; i<n; ++i) {
    for(int j=0; j<n; ++j) {
      M[i][j] = INFTY;
    }
  }

  for(int i=0; i<n; ++i) {
    d[i] = INFTY;
    visited[i] = WHITE;
  }

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

  d[0] = 0;

  while(true) {
    int minicost = INFTY;
    int u;

    for(int i=0; i<n; ++i) {
      if(visited[i] == WHITE && d[i] < minicost) {
        minicost = d[i];
        u = i;
      }
    }

    if(minicost == INFTY) break;
    visited[u] = BLACK;

    for(int v=0; v<n; ++v) {
      if(d[u] + M[u][v] < d[v]) {
        d[v] = d[u] + M[u][v];
      }
    }
  }

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


}