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 <bits/stdc++.h>
using namespace std;
 
#define INF (1 << 30)
 
struct edge{
 
  int cost, to;
 
};
 
struct state{
 
  int node, cost;
  bool operator <(const state &b)const{
    return cost > b.cost;
  }
};
 
int n;
int d[10001];
vector<edge> glaph[10001];
priority_queue<state> qu;
 
void sss(){
 
  fill(d,d+10001,INF);
  qu.push((state){0,0});
  d[0] = 0;
 
  while(!qu.empty()){
 
    state info;
    info = qu.top();
    qu.pop();
 
    for(int i = 0; i < (double)glaph[info.node].size(); i++){
      if(d[glaph[info.node][i].to] > glaph[info.node][i].cost + d[info.node]){
      d[glaph[info.node][i].to] = glaph[info.node][i].cost + d[info.node];
      qu.push((state){glaph[info.node][i].to,d[info.node]}); 
      }
    }
  }
 
  for(int i = 0; i < n; i++){
    cout << i << " " << d[i] << endl;
  }
   
 
 
 
}
 
int main(){
 
  cin >> n;
 
  for(int i = 0; i < n; i++){
    int k, v, c, u;
    cin >> u >> k;
    for(int j = 0; j < k; j++){
      cin >> v >> c;
      glaph[u].push_back((edge){c,v});
    }
  }
 
  sss();
 
 
}

C++: #include <iostream>
#include <vector>
#include <utility>
#include <string>
#include <cmath>
#include <algorithm>
#include <string>
#include <iomanip>
#include <cstdio>
#include <queue>

using namespace std;
using ll = long long;
using ull = unsigned long long;

constexpr ll LL_MAX = numeric_limits<ll>::max();
constexpr ull ULL_MAX = numeric_limits<ull>::max();
constexpr ll I_MAX = numeric_limits<int>::max();
constexpr ull UI_MAX = numeric_limits<unsigned int>::max();

#define rep(i,a,b) for(int i=a;i<b;i++)
#define rrep(i,a,b) for(int i=a-1;i>=b;i--)

auto sumdig(ll num) {
	ll dig, sum;
	sum = 0;
	while (num) {
		dig = num % 10;
		sum = sum + dig;
		num = num / 10;
	}
	return sum;
}



struct edge {
	int from;
	int to;
	int cost=1;
};


auto dijkstra(vector<vector<edge>> &g, int start = 0) {
	vector<int> d(g.size(), I_MAX);
	vector<bool> flag(g.size(), false);
	d[start] = 0;
	priority_queue<pair<int, int>, vector<pair<int, int>>, greater<pair<int,int>>> nodes;//first dist, second edgenum
	nodes.push(pair<int, int>(0, start));


	while (!nodes.empty()) {
		pair<int, int> n = nodes.top();
		int s_node = n.second;
		nodes.pop();
		if (n.first > d[n.second])continue;
		rep(i, 0, g[s_node].size()) {
			int new_dist = d[s_node] + g[s_node][i].cost;
			int n_num = g[s_node][i].to;
			if (new_dist < d[n_num]) {
				nodes.push(make_pair(new_dist, n_num));
				d[n_num] = new_dist;
			}
		}
	}
	return d;
}

int main() {
	int n;
	cin >> n;
	vector<edge> empty;
	vector<vector<edge>> g(n, empty);
	vector<int> ans;
	
	rep(i, 0, n) {
		int temp;
		cin >> temp;//頂点番号はいらん
		cin >> temp;

		rep(j, 0, temp) {
			int tc, tt;
			cin >> tt >> tc;
			edge tn = { i,tt,tc };
			g[i].push_back(tn);
		}
	}

	ans = dijkstra(g, 0);
	
	rep(i, 0, ans.size()) {
		cout << i << " " << ans[i] << endl;
	}

	return 0;
}

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

static const int MAX = 100;
static const int INFTY = (1<<21);

int n, M[MAX][MAX];
int d[MAX];
int color[MAX];

void dijkstra(){
  int minv;

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

  d[0] = 0;
  color[0] = 1;
  while(1){
    minv = INFTY;
    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(M[u][v] != INFTY && color[v] != 2){
        if(d[u] + M[u][v] < d[v]){
          d[v] = d[u] + M[u][v];
          color[v] = 1;
        }
      } 
    }
  }
}

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

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

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

  return 0;
}

C++: #include <bits/stdc++.h>
using namespace std;

#define FOR(i,a,b) for(int i=(a);i<(b);++i)
#define REP(i,n)   FOR(i,0,n)
#define MOD 1000000007

typedef long long int ll;

//const ll INF=(ll)1e18;
const int INF=(1<<21);

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

  vector<pair<int, int>> e[n];
  priority_queue<pair<int, int>, vector<pair<int, int>>, greater<pair<int,int>>> pq;

  int d[n];
  bool visited[n];

  REP(i,n)d[i]=INF;
  REP(i,n)visited[i]=false;

  REP(i,n){
    int u,k;
    cin >> u >> k;

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

  d[0]=0;
  visited[0]=true;

  pq.push(make_pair(0,0));
  while(!pq.empty()){
    int c=pq.top().first;
    int u=pq.top().second;
    pq.pop();

    visited[u] = true;
    if(d[u] < c)continue;

    REP(i,e[u].size()){
      int v = e[u][i].first;
      if(visited[v])continue;

      if(d[u] + e[u][i].second < d[v]){
        d[v] = d[u] + e[u][i].second;
        pq.push(make_pair(d[v], v));
      }
    }

  }

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


}