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 <cstdint>
#include <vector>

using namespace std;

#define GRAPH_SIZE 100
#define WEIGHT_MAX (1 << 21)

enum state_t {
  WHITE,
  GRAY,
  BLACK,
};

static uint32_t graph[GRAPH_SIZE][GRAPH_SIZE];
static state_t state[GRAPH_SIZE];
static uint32_t dist[GRAPH_SIZE];

size_t single_source_shotest_path(size_t num)
{
  size_t cost = 0;

  for (uint32_t i = 0; i < num; i++) {
    state[i] = WHITE;
    dist[i] = WEIGHT_MAX;
  }

  state[0] = GRAY;
  dist[0] = 0;

  while (true) {
    size_t minimum_cost = WEIGHT_MAX;
    uint32_t to = 0;
    for (uint32_t i = 0; i < num; i++) {
      if ((dist[i] < minimum_cost) && (state[i] != BLACK)) {
        minimum_cost = dist[i];
        to = i;
      }
    }

    if (minimum_cost == WEIGHT_MAX) break;

    cost += minimum_cost;
    state[to] = BLACK;

    for (uint32_t i = 0; i < num; i++) {
      if (((dist[to] + graph[to][i]) < dist[i]) && state[i] != BLACK) {
        state[i] = GRAY;
        dist[i] = dist[to] + graph[to][i];
      }
    }
  }

  return cost;
}

#include <iostream>

int32_t main()
{
  uint32_t num;
  cin >> num;

  for (uint32_t i = 0; i < num; i++) {
    for (uint32_t j = 0; j < num; j++) {
      graph[i][j] = WEIGHT_MAX;
    }
  }

  for (uint32_t i = 0; i < num; i++) {
    uint32_t index, len;
    cin >> index >> len;
    for (uint32_t j = 0; j < len; j++) {
      uint32_t v, c;
      cin >> v >> c;
      graph[index][v] = c;
    }
  }

  single_source_shotest_path(num);

  for (uint32_t i = 0; i < num; i++) {
    cout << i << " " << dist[i] << endl;
  }

  return 0;
}

C++: #include<iostream>
using namespace std;
static const int MAX = 100;
static const int INFTY = (1<<21);
static const int WHITE = 0;
static const int GRAY = 1;
static const int BLACK = 2;

int n,M[MAX][MAX];

void dijkstra(){
  int minv;
  int d[MAX],color[MAX];

  for(int i = 0;i < n;i++){
   d[i] = INFTY;
   color[i] = WHITE;
 }
  
   d[0] = 0;
   color[0] = GRAY;
   while( 1 ){
    minv = INFTY;
    int u = -1;
    for ( int i = 0; i < n; i++){
      if(minv > d[i] && color[i] != BLACK){
       u = i;
       minv = d[i];
      }
   }
    if(u == -1) break;
    color[u] = BLACK;
    for ( int v = 0; v < n; v++){
     if(color[v] != BLACK && M[u][v] != INFTY){
       if(d[v] > d[u] + M[u][v]){
       d[v] = d[u] + M[u][v];
       color[v] = GRAY;
        }
       }
     }
  }
    if(u == -1) break;
    color[u] = BLACK;
   for(int v = 0; v < n; v++){
    if(minv > d[i] && color[i] != BLACK){
     u = i;
     minv = d[i];
    }
  }
  if(u == -1)break;
  color[u] = BLACK;
  for(int v = 0; v < n; v++){
    if(color[v] != BLACK && M[u][v] != INFTY){
      if(d[v] > d[u] + M[u][v]){
         d[v] = d[u] + M[u][v];
         color[v] = GRAY;
      }
     }
    }
   }
   for(int i = 0; i < n; i++){
    cout << i << " " << (d[i] == INFTY ? -1: d[i]) <<endl;
   }
  }
int main(){
  cin >> n;
  for(int i = 0;i < n; i++){
    for(int j = 0; j < n; j++){
     M[i][j] = INFTY;
     }
   }

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

C++: #include <bits/stdc++.h>
using namespace std;
using ll = long long;
using vi = vector<int>;
using vvi = vector<vi>;
using vll = vector<ll>;

#define rep(i, n) for (int i = 0; i < (int)(n); i++)
#define WHITE 0
#define VISITED 1
#define CANDIDATE 2

int dks(vvi &a, vi &d, vi &s, vi &p) {
  int total = 0, n = (int)a.size();
  while (true) {
    int min_cost = INT_MAX, u;
    rep(i, n) {
      if (s[i] != VISITED && d[i] < min_cost) {
        min_cost = d[i];
        u = i;
      }
    }

    if (min_cost == INT_MAX) break;

    s[u] = VISITED;
    if (p[u] != -1) total += a[p[u]][u];

    rep(v, n) {
      if (s[v] != VISITED && a[u][v] != -1) {
        if (d[u] + a[u][v] < d[v]) {
          d[v] = d[u] + a[u][v];
          p[v] = u;
          s[v] = CANDIDATE;
        }
      }
    }
  }
  
  return total;
}

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

  vvi g(n, vi(n, -1));
  rep(i, n) {
    int u, k;
    cin >> u >> k;

    rep(j, k) {
      int v, c;
      cin >> v >> c;

      g[u][v] = c;
    }
  }
  
  vi d(n, INT_MAX), s(n, WHITE), p(n, -1);
  d[0] = 0;
  
  dks(g, d, s, p);
  
  rep(i, n) printf("%d %d\n", i, d[i]);
}

C++: #include <iostream>
using namespace std;
static const int MAX = 100;
static const int INFTY = (1<<21);
static const int WHITH = 0;
static const int GRAY = 1;
static const int BLACK = 2;

int n, M[MAX][MAX];

void dijkstra() {
  int minv;
  int d[MAX], color[MAX];

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

  d[0] = 0;
  color[0] = GRAY;
  while (1) {
    minv = INFTY;
    int u = -1;
    for (int i = 0; i < n; i++) {
      if (minv > d[i] && color[i] != BLACK) {
        u = i;
        minv = d[i];
      }
    }
    if (u == -1) break;
    color[u] = BLACK;
    for (int v = 0; v < n; v++) {
      if (color[v] != BLACK && M[u][v] != INFTY) {
        if (d[v] > d[u] + M[u][v]) {
          d[v] = d[u] + M[u][v];
          color[v] = GRAY;
        }
      }
    }
  }

  for (int i = 0; i < n; i++) {
    cout << i << " " << ( d[i] == INFTY ? -1 : d[i] ) << endl;
  }
}

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

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