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 <vector>
#include <string>
#include <algorithm>
#include <utility>
#include <numeric>
#include <array>
#include <cmath>
#include <memory>
#include <queue>
using namespace std;
//変数デバッグ
#define DEB(variable) cout << #variable << '=' << variable << endl

//for簡易表記(引数ミス防止)
#define FOR(LoopVariable,numberOFbegin,numberOFend) for (int LoopVariable = (numberOFbegin); (LoopVariable) < (numberOFend); (LoopVariable)++)
#define DEFOR(LoopVariable,numberOFbegin,numberOFend) for (int LoopVariable = (numberOFbegin)-1; (LoopVariable) >= (numberOFend); (LoopVariable)--)
#define REP(LoopVariable,numberOFend) for(int LoopVariable = 0;(LoopVariable)<(numberOFend);LoopVariable++)

constexpr long long int linf = numeric_limits<long long int>::max()-5;
constexpr int inf= numeric_limits<int>::max()-5;
constexpr long long int mod = 1000000007;

template <typename T>
class Wgraph{
public:
    Wgraph(int _n){
        n = _n;
        node.resize(n);
        adj.resize(n);
        REP(i, n) { node[i] = i; }
    }
    ~Wgraph(){

    }

    //a → b
    void connect(T from,T to,int cost){
        adj[from].push_back(make_pair(to,cost));
        //cout << from<<" " << to<<" "<<cost<<endl;
    }

    void dij(int start){
        
        priority_queue<pair<T,T>,vector<pair<T,T>>,greater<pair<T,T>>> pq;
        vector<T> dist(n,numeric_limits<T>::max());
        vector<bool> is_used(n,false);

        pq.push(make_pair(0,start));
        T to,d;

        while(!pq.empty()){
            tie(d,to) = pq.top();
            pq.pop();
            if(is_used[to]){
                continue;
            }else{
                is_used[to] = true;
                dist[to] = d;
                for(auto x:adj[to]){
                    if(dist[x.first]>d+x.second){
                        pq.push(make_pair(d+x.second,x.first));
                    }
                }
            }

        }
        REP(i,n){
            printf("%d %d\n", i, dist[i]);
        }
    }

  private:
    int n;
    vector<T> node;
    vector<vector<pair<T, T>>> adj;
    
};

int main(){
    int n;
    cin >> n;
    unique_ptr<Wgraph<int>> wg(new Wgraph<int>(n));

    
    {
        int tmp_from,tmp_edgenum, tmp_to,tmp_cost;

        REP(i,n){
            
            scanf("%d %d,", &tmp_from,&tmp_edgenum);

            REP(j,tmp_edgenum){
                scanf("%d %d", &tmp_to, &tmp_cost);
                wg->connect(tmp_from, tmp_to, tmp_cost);
            }


        }
    }
    wg->dij(0);

    return 0;
}

C++: #include <cstdio>
#include <cstring>
#include <cstdlib>
#include <cmath>
#include <iostream>
#include <string>
#include <algorithm>
#include <vector>
#include <map>
#include <queue>
#include <utility>
using namespace std;
//_____
#define pb push_back
#define fi first
#define se second
#define mkp make_pair
#define ALL(x) x.begin(),x.end()
#define rep(i,n) for(int i=0; i<(n); ++i)
#define reps(i,f,n) for(int i=(f); i<=(n); ++i)
#define err(...) fprintf(stderr, __VA_ARGS__)
#define show(x) cerr << #x << ':' << x << endl
#define outl(x) cout << (x) << '\n'
#define FAST() cin.tie(0), ios::sync_with_stdio(false)
typedef long long ll;
typedef pair<int,int> pii;
template<class A, class B>inline bool chmax(A &a, B b){return b>a ? a=b,1 : 0;}
template<class A, class B>inline bool chmin(A &a, B b){return b<a ? a=b,1 : 0;}
inline bool inside(int y, int x, int H, int W){return(y>=0 && x>=0 && y<H && x<W);}
const int dx[] = {1, 0, -1, 0,  1, 1, -1, -1};
const int dy[] = {0, 1, 0, -1,  -1, 1, 1, -1};
#define INF 0x3f3f3f3f
#define LEN 1000011
#define NIL -1
//_______

int N;
vector <pii> G[101];
int mcos[101];

void dijkstra(int s)
{
   priority_queue < pii, vector<pii>, greater<pii> > pq;
   pq.push( mkp(0, s) );
   memset( mcos, INF, sizeof(mcos) );
   mcos[s] = 0;

   while( !pq.empty() ){
      const pii tmp = pq.top(); pq.pop();
      if( mcos[tmp.se] < tmp.fi )continue;

      for( const auto& v : G[tmp.se] ){
         const int nc = v.fi + tmp.fi;
         if( chmin( mcos[v.se], nc )) pq.push( mkp(nc, v.se) );
      }
   }
   return ;
}

signed main()
{
   FAST();
   cin >> N;
   rep(i, N){
      int u, k, to, c;
      cin >> u >> k;
      while(k--){
         cin >> to >> c;
         G[i].pb( mkp(c,to) );
      }
   }
   dijkstra(0);
   rep(i, N){
      cout << i << ' ' << mcos[i] << '\n';
   }
}

C++: #include<cstdlib>
#include<cstdio>
#include<algorithm>
#include<vector>
#include<queue>
using namespace std;
const int MAXN = (int)1e2 + 10;
const int INF = (int) 0x3f3f3f3f;

vector<int> g[MAXN],val[MAXN];
int n;
int d[MAXN],vis[MAXN];

void Dijkstra(int s){
    for(int i=1;i<=n;i++) d[i]=INF;
    d[s]=0;
    vis[s]=1;
    for(int i=0;i<g[0].size();i++){
        int v=g[0][i];
        if(!vis[v]) d[v]=min(d[v],d[0]+val[0][i]);
    }
    int cnt=1;
    while(cnt<=n){
        int id=-1;
        for(int i=1;i<=n;i++)if(!vis[i]){
            if(id==-1||d[id]>d[i]) id=i;
        }
        vis[id]=1;
        cnt++;
        for(int i=0;i<g[id].size();i++){
            int v=g[id][i];
            if(!vis[v]) d[v]=min(d[v],d[id]+val[id][i]);
        }
    }
}

void work(){
    scanf("%d",&n);
    for(int i=0;i<n;i++){
        int u,k; scanf("%d%d",&u,&k);
        while(k--){
            int v,c; scanf("%d%d",&v,&c);
            g[u].push_back(v);
            val[u].push_back(c);
        }
    }
    Dijkstra(0);
    for(int i=0;i<n;i++) printf("%d %d\n",i,d[i]);
}

int main(){
    work();
    return 0;
}

/*
5
0 3 2 3 3 1 1 2
1 2 0 2 3 4
2 3 0 3 3 1 4 1
3 4 2 1 0 1 1 4 4 3
4 2 2 1 3 3
*/