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 <cstdio>

const int N = 100;
const int INF = 100001;
int cost[N][N];
int minCost[N] = {0};
bool isDecide[N] = {false};

int getMinIndex(int n) {
        int minIndex = -1;
        int cost = INF;
        for (int i = 0; i < n; i++) {
                if (minCost[i] < cost && !isDecide[i]) {
                        cost = minCost[i];
                        minIndex = i;
                }
        }

        return minIndex;
}

int main() {
        for (int i = 0; i < N; i++) {
                for (int j = 0; j < N; j++) {
                        cost[i][j] = -1;
                }
        }
        for (int i = 1; i < N; i++) {
                minCost[i] = INF;
        }
        int n, u, k, v, c;

        scanf("%d", &n);
        for (int i = 0; i < n; i++) {
                scanf("%d %d", &u, &k);
                for (int j = 0; j < k; j++) {
                        scanf("%d %d", &v, &c);
                        cost[u][v] = c;
                }
        }
        while (true) {
                int from = getMinIndex(n);
                if (from < 0) {
                        break;
                }
                isDecide[from] = true;
                for (int to = 0; to < n; to++) {
                        if (cost[from][to] < 0 || isDecide[to]) {
                                continue;
                        }
                        int newCost = minCost[from] + cost[from][to];
                        if (newCost < minCost[to]) {
                                minCost[to] = newCost;
                        }
                }
        }
        for (int i = 0; i < n; i++) {
                printf("%d %d\n", i, minCost[i]);
        }

        return 0;
}

C++: #include<stdio.h>
#include<cstdlib>
// 0origin
// referred to http://www.deqnotes.net/acmicpc/dijkstra/
// 単純な方法の方

#define MAX_DATA 100
#define INF 1000001
#define NIL -2

int n;
typedef struct {
    int num;
    // ここから伸びるエッジの情報
    int edges_to[MAX_DATA]; // 各接続先の番号
    int edges_cost[MAX_DATA]; // 各エッジのコスト
    int edges_size; // エッジの本数
    
    // ダイクストラ法のためのデータ
    bool done; // 確定ノードか否か
    int cost; // このノードへの現時点で判明しているコスト
}Node;

Node node[MAX_DATA];

int min(int x, int y){
    return x < y ? x : y;
}

void Init(){
    for (int i = 0; i < n; i++) {
        node[i].done = false;
        node[i].cost = INF;
    }
}

void Dijkstra(){
    Init();
    node[0].cost = 0;
    /*
    while (1) {
        Node doneNode;
        doneNode.cost = NIL;
        for (int i = 0; i < n; i++) {
            printf("node[%d].done:%s cost:%d doneNode.cost:%d\n", i, node[i].done == true ? "true" : "false", node[i].cost, doneNode.cost);
            if (node[i].done == true || node[i].cost == INF) {
                continue;
            }
            if (doneNode.cost == NIL || node[i].cost < doneNode.cost) {
                doneNode = node[i];
            }
        }
        if(doneNode.cost == NIL){
            break;
        }
        
        .done = true;
        
        for (int i = 0; i < doneNode.edges_size; i++) {
            int to = doneNode.edges_to[i];
            int cost = doneNode.cost + doneNode.edges_cost[i];
            if (node[to].cost < 0 || cost < node[to].cost) {
                node[to].cost = cost;
            }
        }
    }*/
    
    Node doneNode[MAX_DATA];
    node[0].done = true;
    doneNode[0] = node[0];
    int NOFdoneNode = 1;
    while (NOFdoneNode < n) {
        int mincost = INF;
        for(int i = 0; i < NOFdoneNode; i++){ // doneNodeを動かす
            for(int j = 0; j < doneNode[i].edges_size; j++){ // doneNodeから伸びているnodeをうごかす
                //printf("%d to %d\n", doneNode[i].num, doneNode[i].edges_to[j]);
                if (node[doneNode[i].edges_to[j]].done) { // 確定ノードと確定ノードがつながっていたらスルー
                    //printf(" through\n");
                    continue;
                }
                //printf(" %d >?< %d\n", node[doneNode[i].edges_to[j]].cost, doneNode[i].cost + doneNode[i].edges_cost[j]);
                if(node[doneNode[i].edges_to[j]].cost >= doneNode[i].cost + doneNode[i].edges_cost[j]){ // 確定nodeたちからの最短距離を記録
                    node[doneNode[i].edges_to[j]].cost = doneNode[i].cost + doneNode[i].edges_cost[j];
                    if(mincost > node[doneNode[i].edges_to[j]].cost){ // mincostが更新されたらdoneNodeの最後尾を更新
                        mincost = node[doneNode[i].edges_to[j]].cost;
                        doneNode[NOFdoneNode] = node[doneNode[i].edges_to[j]];
                    }
                }
            }
        }
        node[doneNode[NOFdoneNode].num].done = true;
        //printf("%d is done\n", doneNode[NOFdoneNode].num);
        
        /*for(int i = 0; i < NOFdoneNode+1; i++){
            printf("%d,", doneNode[i].num);
        }
        printf("\n\n");*/
        NOFdoneNode++;
    }
}

int main(){
    int m;
    
    scanf("%d", &n);
    
    for(int i = 0; i < n; i++){
        scanf("%d%d", &m ,&m);
        node[i].edges_size = m;
        node[i].num = i;
        for (int j = 0; j < m; j++) {
            scanf("%d %d", &node[i].edges_to[j], &node[i].edges_cost[j]);
        }
        node[i].edges_to[m] = NIL;
        node[i].edges_cost[m] = NIL;
    }
    
#ifdef D
    for (int i = 0; i < n; i++) {
        printf("%d:", i);
        for (int j = 0; ; j++) {
            if(node[i].edges_to[j] == NIL){
                break;
            }
            printf("%d(%d) ", node[i].edges_to[j], node[i].edges_cost[j]);
        }
        printf("\n");
    }
#endif
    
    Dijkstra();
    
    for (int i = 0; i < n; i++) {
        printf("%d %d\n", i, node[i].cost);
    }
    
    return 0;
}