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 <limits>

constexpr int MAXN = 100;
int G[MAXN][MAXN];
int P[MAXN];
int D[MAXN];
int C[MAXN];

constexpr int MAXINT = 100001;

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

    for (int i = 0 ; i < n; i++) {
        for (int j = 0 ; j < n; j++) {
            G[i][j] = MAXINT;
        }
    }

    for (int i = 0; i < n; i++) {
        D[i] = MAXINT;
    }

    for (int i = 0; i < n; i++) {
        int id, e_num;
        std::cin >> id >> e_num;
        for (int j = 0; j < e_num; j++) {
            int t;
            std::cin >> t;
            std::cin >> G[id][t];
        }
    }

    int r = 0;
    D[r] = 0;
    while (true) {
        int mincost = MAXINT;
        int m;
        for (int i = 0; i < n; i++) {
            if ((C[i] == 0) && (D[i] < mincost)) {
                mincost = D[i];
                m = i;
            }
        }

        if (mincost == MAXINT) {
            break;
        }

        C[m] = 1;
        for (int i = 0; i < n; i++) {
            if ((C[i] != 1) && (G[m][i] != MAXINT)&& ((D[m] + G[m][i]) < D[i])) {
                P[i] = m;
                D[i] = D[m] + G[m][i];
            }
        }
    }

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

}

C++: #include <utility>
#include <string>
#include <vector>
#include <algorithm>
#include <iostream>
using namespace std;

int n;					//えぬ
int a[100][100] = {0};	//辺の重さ
int f[100] = {0};		//その頂点が調査済みかどうか

int main(){
	cin >> n;
	//まず辺の重さをaに入れる
	for ( int i = 0; i < n; i++ ) {
		for ( int j = 0; j < n; j++ ) {
			a[i][j] = -1;
		}
	}
	a[0][0] = 0;
	for ( int i = 0; i < n; i++ ) {
		int u;
		cin >> u;
		int k;
		cin >> k;
		for ( int j = 0; j < k; j++ ) {
			int v;
			cin >> v;
			cin >> a[u][v];
		}
	}
	for ( int i = 0; i < n - 1; i++ ) {
		int k = -1;
		int v = 0;
		for ( int j = 1; j < n; j++ ) {
			if ( a[0][j] == -1 || f[j] == 1 ) continue;
			if ( k == -1 || a[0][j] < k ) {
				v = j;
				k = a[0][j];
			}
		}
		f[v] = 1;
		for ( int j = 1; j < n; j++ ) {
			if ( v == j ) continue;
			if ( a[v][j] == -1 || f[j] == 1 ) continue;
			if ( a[0][j] == -1 || a[0][j] > a[0][v] + a[v][j] ) {
				a[0][j] = a[0][v] + a[v][j];
			}
		}
	}
	for ( int i = 0; i < n; i++ ) {
		cout << i << " " << a[0][i] << endl;
	}
	return 0;
}

C++: #include <cstdio>
#include <iostream>
#include <vector>
using namespace std;
int N;
int G[100][100];
int d[100];
int used[100];
const int INF=99999999;
int c;
void dijkstra(int s){
  for(int u=0;u<N;u++)d[u]=INF;
  d[s]=0;
  while(1 && c<10){   
    int v=-1;
    for(int u=0;u<N;u++){
      if((v==-1 || d[v]>d[u]) && !used[u])v=u;
    }
    if(v==-1)break;
    used[v]=1;
    for(int u=0;u<N;u++){
      d[u]=min(d[u],d[v]+G[v][u]);
    }
    c++;
  }
}
int main(){

  for(int i=0;i<100;i++){
    for(int j=0;j<100;j++){
      G[i][j]=INF;
      if(i==j)G[i][j]=0;
    }
  }
  scanf("%d",&N);
  for(int i=0;i<N;i++){
    int u,k,c,v;
    scanf("%d %d",&u,&k);
    for(int j=0;j<k;j++){
      scanf("%d %d",&c,&v);
      G[u][c]=v;
     
    }
  }
  dijkstra(0);
  for(int i=0;i<N;i++)printf("%d %d\n",i,d[i]);
  return 0;
}

C++: #include<iostream>
#include<vector>
#include<queue>
using namespace std;
template< typename FirstType, typename SecondType >
struct PairComparator {
  bool operator()( const pair<FirstType, SecondType>& p1, const pair<FirstType, SecondType>& p2 ) const 
    {  
		return p1.first > p2.first;
    }
};
bool inMST(vector< std::pair<int,int> > & MST,int j) {
	for (int k=0;k<(int)MST.size();++k){
		if(j == MST[k].second)
			return true;
	}
	return false;
}
int main(){
	int n;
	cin >> n;
	vector<int> E(n*n,-1);
	vector<int> DPG(n,-1);
	vector< std::pair<int,int> > MST;
	for(int j=0;j<n;++j) {
		int u,k; 
		cin >> u >> k;
		for(int i=0;i<k;++i){
			int v,c;
			cin >> v >> c;
			E[u*n+v] = c;
		}
	}
	priority_queue<pair<int,pair<int,int> >,vector< pair<int,pair<int,int> > >,
		PairComparator<int,pair<int,int> > > r;

	int cost = 0;
	int i=0;
	MST.push_back(pair<int,int>(i,i));
	DPG[i] = 0;
	while((int)MST.size() < n) {
		int ii=i*n;
		for (int j=0;j<n;++j) {
			if (E[ii+j] >= 0) {
				pair<int,int> add = std::make_pair(i,j);
				if (!inMST(MST,add.second)){
					r.push(std::pair<int,std::pair<int,int> >(E[ii+j],add));
				}
			}
		}
		pair<int,pair<int,int> > top;
		while (!r.empty()) {
			top = r.top();
			r.pop();
			if (!inMST(MST,top.second.second)){
				break;
			}
		}
		cost += top.first;
		MST.push_back(top.second);
		i = top.second.second;
		DPG[i] = DPG[top.second.first] + top.first;
		for(int j=0;j<n;++j){
			if (DPG[j] < 0)continue;
			if (E[i*n+j] < 0)continue;
			DPG[j] = std::min(DPG[j],DPG[i] + E[i*n+j]);
		}
	}
	for (int j=0;j<n;++j) {
		cout << j << " " <<  DPG[j] << endl;
	}
}

C++: #include<bits/stdc++.h>
using namespace std;
int n,G[1001][1001],dis[1001],vis[1001],inf=10e8;
void dij(int u){
	for(int i=0;i<n;i++){
	 dis[i]=G[u][i];
	}
	int k;
	vis[u]=1;dis[u]=0;
	for(int i=0;i<n-1;i++){
		int min=inf ;
		for(int j=0;j<n;j++){
			if(vis[j]==0&&dis[j]<min){
				min=dis[j];
				k=j;
			}
		}
		vis[k]=1;
		for(int j=0;j<n;j++){
			if(!vis[j]&&dis[j]>dis[k]+G[k][j])
			dis[j]=dis[k]+G[k][j];
		}
	}
}
int main(){
	scanf("%d",&n);
	int c,v1,v2,k;
	for(int i=0;i<n;i++){
		scanf("%d%d",&v1,&k);
		for(int j=0;j<k;j++){
			scanf("%d%d",&v2,&c);
			G[v1][v2]=c;
		}
	}
	
		for(int i=0;i<n;i++)
		for(int j=0;j<n;j++){
		  if(G[i][j]==0&&i!=j){
		  	G[i][j]=inf;
		  }
	}
	
	
//	for(int i=0;i<n;i++){
//		for(int j=0;j<n;j++){
//			printf("%d ",G[i][j]);
//		}printf("\n"); 
//	}
	dij(0);
	for(int i=0;i<n;i++)
	printf("%d %d\n",i,dis[i]);
}