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 120
int n;

int g[N][N];

int weight[N];
bool us[N];

int prim(){

  int v;
  int ans=0;
  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;
    ans+=weight[v];

    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;
      }
    }
  }
  return ans;
}


int main(){

  int u,k1,c,v;

  for(int i=0;i<N;i++){
    for(int j=0;j<N;j++){
      g[i][j]=53535;
    }
  }

//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 <bits/stdc++.h>
using namespace std;
#define MAX 101
#define INF 100100

static const int WHITE = 0; //not visited
static const int GRAY = 1; //visited
static const int BLACK = 2;

int n, M[MAX][MAX];
int color[MAX];
int dist_from_start[MAX];
int parent_node[MAX];

void dijkstra(int start) {
  //initialize
  for (int i = 1; i <= n; i++) {
    color[i] = WHITE;
    dist_from_start[i] = INF;
    parent_node[i] = -1;
  }

  dist_from_start[start] = 0;
  color[start] = GRAY;

  while (true) {
    int mincost = INF;
    int now = -1;

    //初回はmincost = 0になる(始点)
    for (int i = 1; i <= n; i++) {
      if (color[i] != BLACK && dist_from_start[i] < mincost) {
        mincost = dist_from_start[i];
        now = i;
      }
    }

    if (now == -1) break;

    color[now] = BLACK;

    for (int v = 1; v <= n; v++) {
      if (color[v] != BLACK && M[now][v] != INF) {
        if (dist_from_start[now] + M[now][v] < dist_from_start[v]) {
          dist_from_start[v] = dist_from_start[now] + M[now][v];
          parent_node[v] = now;
          color[v] = GRAY;
        }
      }
    }
  }

  for (int i = 1; i <= n; i++) cout << i-1 << " " << (dist_from_start[i] == INF ? -1 : dist_from_start[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;
  for (int i = 1; i <= n; i++) {
    cin >> u >> k;
    for (int j = 1; j <= k; j++) {
      int v, t;
      cin >> v >> t;
      M[u+1][v+1] = t;
    }
  }

  dijkstra(1);

  return 0;
}

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

vector<vector<pair<int, int>>> v;
vector<int> d, color;

const int WHITE = 0;
const int GRAY = 1;
const int BLACK = 2;

void dijkstra(){
  priority_queue<pair<int, int>, vector<pair<int, int>>, greater<pair<int, int>>> q;
  q.push(make_pair(0, 0));
  d[0] = 0;

  while(!q.empty()){
    auto next = q.top(); q.pop();
    if(color[next.second] == BLACK) continue;

    color[next.second] = BLACK;

    for(auto ve : v[next.second]){
      if(color[ve.first] != BLACK && d[ve.first] > d[next.second] + ve.second){
        d[ve.first] = d[next.second] + ve.second;
        color[ve.first] = GRAY;
        q.push(make_pair(d[ve.first], ve.first));
      }
    }
  }
}

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

  v.resize(n);
  d.resize(n);
  color.resize(n);

  for(int i=0; i<n; ++i){
    d[i] = numeric_limits<int>::max();

    int u, k, ve, c; cin >> u >> k;
    for(int l=0; l<k; ++l){
      cin >> ve >> c;
      v[u].push_back(make_pair(ve, c));
    }
  }

  dijkstra();

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

C++: #include <cstdio>
#include <queue>
#include <utility>
using namespace std;
static const int INFTY = (1 << 21);
static const int WHITE = 0;
static const int GRAY = 1;
static const int BLACK = 2;

int n;
vector<pair<int, int>> adj[100];
int *d;

void dijkstra() {
    priority_queue<pair<int, int>> PQ;
    int d[n], color[n];

    for (int i = 0; i < n; i++) {
        d[i] = INFTY;
        color[n] = WHITE;
    }
    d[0] = 0;
    PQ.push(make_pair(0, 0));

    while (!PQ.empty()) {
        pair<int, int> f = PQ.top();
        PQ.pop();

        int u = f.second;
        color[u] = BLACK;

        if (d[u] < f.first * (-1)) { continue; }

        for (int j = 0; j < adj[u].size(); j++) {
            int v = adj[u][j].first;
            if (color[v] == BLACK) { continue; }
            if (d[u] + adj[u][j].second < d[v]) {
                d[v] = d[u] + adj[u][j].second;
                // printf("d[%d] = %d\n", v, d[v]);
                PQ.push(make_pair(d[v] * (-1), v));
                color[v] = GRAY;
            }
        }
    }
    
    for (int i = 0; i < n; i++) {
        printf("%d %d\n", i, d[i]);
    }
}

int main() {
    scanf("%d", &n);

    // adj = new vector<pair<int, int>>[n];

    for (int i = 0; i < n; i++) {
        int u, k;
        scanf("%d %d", &u, &k);
        for (int j = 0; j < k; j++) {
            int v, c;
            scanf("%d %d", &v, &c);
            adj[u].push_back(make_pair(v, c));
        }
    }

    dijkstra();

    return 0;
}