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 ll long long
#define vvi vector<vector<int>>
#define vec vector
#define pq priority_queue
#define all(v) (v).begin(), (v).end()
#define uniqueV(x) sort(x.begin(), x.end()); x.erase(unique(x.begin(), x.end()), x.end());
#define rep(i, n) for (int (i) = (0); (i) < (n); ++(i))
#define repp(i, m, n) for (int (i) = (m); (i) < (n); ++(i))
#define debug(x) cerr << #x << ": " << x << endl;
#define debug2(x, y) cerr<<"("<<#x<<", "<<#y<<") = "<<"("<<x<<", "<<y<<")"<<endl;
#define debug3(x, y, z) cerr<<"("<<#x<<", "<<#y<<", "<<#z<<") = "<<"("<<x<<", "<<y<<", "<<z<<")"<<endl;
#define debugB(x, y) cerr<<#x<<": "<<bitset<y>(x) << endl;
#define line() cerr << "---------------" << endl;
 
const int dx[] = {1, -1, 0, 0};
const int dy[] = {0, 0, -1, 1};
const double PI = 3.14159265358979323846;
 
template<typename T>
void printA(vector<T> &printArray, char between = ' ') {
   int paSize = printArray.size();
   for (int i = 0; i < paSize; i++) { cerr << printArray[i] << between;}
   if (between != '\n') {cerr << endl;}
}
 
// ------------------------------------------------------------------------------------------
 
struct edge { int to, cost; };
struct P { 
   int dist, number; 
   bool operator<(const P &p) const {
      return dist < p.dist;
   }
};
 
const int INF = 1e8;
int n;
vec<vec<edge>> G;
int d[111];

void printDist() {
   rep (i, n) { printf("%d %d\n", i, d[i]); }
}
 
void dijkstra(int s) {
   fill(d, d + n, INF);
   d[s] = 0;
   priority_queue<P> Q;
   Q.push({0, s});
   while (Q.size()) {
      P p = Q.top(); Q.pop();
      int v = p.number;
      if (d[v] < p.dist) continue;
      for (int i = 0; i < G[v].size(); i++) {
         edge e = G[v][i];
         if (d[e.to] > d[v] + e.cost) {
            d[e.to] = d[v] + e.cost;
            Q.push({d[e.to], e.to});
         }
      }
      // printDist();
      // line()
   }
}
 
int main() {
   // 入力
   cin >> n;
   G = vec<vec<edge>>(n);
   rep (i, n) {
      int u, k;
      cin >> u >> k;
      rep (j, k) {
         int v, c;
         cin >> v >> c;
         G[u].push_back({v, c});
      }
   }
 
   // ダイクストラ法
   dijkstra(0);
 
   // 出力
   printDist();
 
   return 0;
}

C++: #include <stdio.h>

using namespace std;


int main(){
	int n,count=0,t,min,min_index,tmp,left_node,right_node,dist;
	scanf("%d",&n);
	int distance[n][n],P[n];

	for(int i=0;i<n;i++){
		for(int k=0;k<n;k++)distance[i][k]=10000001;
		P[i]=0;
	}
	distance[0][0] = 0;
	P[0]=1;

	for(int i=0;i<n;i++){
		scanf("%d %d",&left_node,&tmp);
		for(int k=0;k<tmp;k++){
			scanf("%d %d",&right_node,&dist);
			distance[left_node][right_node] = dist;
		}
	}

	while(count<n-1){

		min=10000001;
		for(int i=1;i<n;i++){
			if(P[i]==0&&distance[0][i]<min){
				min_index = i;
				min = distance[0][i];
			}
		}
		t = min_index;
		P[t]=1;
		count++;

		for(int i=0;i<n;i++){
			if(distance[0][i] > distance[0][t]+distance[t][i]){
				distance[0][i]=distance[0][t]+distance[t][i];
			}
		}
	}

	for(int i=0;i<n;i++){
		printf("%d %d\n",i,distance[0][i]);
	}

    return 0;
}

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

static const int MAX_NUM   = 101;
static const int NIL       = 10000001;
static const int NO_VISIT  = 0;
static const int NOW_VISIT = 1;
static const int END_VISIT = 2;

void SSSP(int *pMatrix, int num)
{
    int i;
    int mincost;
    int target;
    int lcost[MAX_NUM];
    int parent[MAX_NUM];
    int state[MAX_NUM];
    int *pList;

    for (i = 0; i < num; i++) {
        lcost[i]  = NIL;
        parent[i] = -1;
        state[i]  = NO_VISIT;
    }

    lcost[0]  = 0;
    parent[0] = 0;
    state[0]  = NOW_VISIT;

    for (;;) {
        mincost   = NIL;
        for (i = 0; i < num; i++) {
            if ((lcost[i] < mincost) && (state[i] != END_VISIT)) {
                target = i;
                mincost = lcost[i];
            }
        }
        if (mincost == NIL) {
            break;
        }

        state[target] = END_VISIT;
        pList = pMatrix + MAX_NUM * target;
        for (i = 0; i < num; i++) {
            if ((*(pList + i) + lcost[target]) < lcost[i]) {
                lcost[i]  = *(pList + i) + lcost[target];
                state[i]  = NOW_VISIT;
                parent[i] = target;
            }
        }
    }

    for (i = 0; i < num; i++) {
        printf("%d %d\n", i, lcost[i]);
    }

    return;
}

int main(void)
{
    int i, j;
    int num;
    int tmp;
    int target, elem, cost;
    int matrix[MAX_NUM][MAX_NUM];

    scanf("%d", &num);
    for (i = 0; i < num; i++) {
        for (j = 0; j < num; j++) {
            matrix[i][j] = NIL;
        }
    }

    for (i = 0; i < num; i++) {
        scanf("%d %d", &target, &tmp);
        for (j = 0; j < tmp; j++) {
            scanf("%d %d", &elem, &cost);
            matrix[target][elem] = cost;
        }
    }

    SSSP(&matrix[0][0], num);

    return 0;
}