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 <queue>
using namespace std;

#define INFTY (1 << 30)

//???????????????
enum Color {
	WHITE,
	GRAY,
	BLACK,
};


//SSSP
void Dijkstra(vector<pair<int, int>> *v_w_m, int verNum) {

	//???????¨????
	priority_queue<pair<int, int>> pQ;
	int distance[10000];
	Color color[10000];
	int parent[10000];
	for (int i = 0; i < verNum; i++) {
		color[i] = WHITE;
		distance[i] = INFTY;
		parent[i] = -1;
	}
	distance[0] = 0;
	pQ.push(make_pair(0, 0));


	//SSSP??????
	while (!pQ.empty()) {

		//??°??¬????????????????????????????°?????????????????????¶
//		int min_cost = INFTY;
		int subScript;
		pair<int, int> wei_sub_map = pQ.top();
		pQ.pop();
		subScript = wei_sub_map.second;
		//for (int i = 0; i < verNum; i++) {
		//	if (color[i] != BLACK && distance[i] < min_cost) {
		//		min_cost = distance[i];
		//		subScript = i;
		//	}
		//}

		//?????????????????????
		color[subScript] = BLACK;

		//???????????????????????°??????????????????????????????????????????
		//?????????????????¨4169407B?????¨??????0.01sec????????????
		if (distance[subScript] < wei_sub_map.first * -1)
			continue;

		//??£??\?????°??¬??????
		for (int i = 0; i < v_w_m[subScript].size(); i++) {
			int outV = v_w_m[subScript][i].first;
			if (color[outV] == BLACK) continue;
			if (distance[outV] < distance[subScript] + v_w_m[subScript][i].second) continue;

			distance[outV] = distance[subScript] + v_w_m[subScript][i].second;
			parent[outV] = subScript;
			color[outV] = GRAY;
			pQ.push(make_pair(distance[outV] * -1, outV));
		}
	}

	//??????
	int weight_sum = 0;
	for (int i = 0; i < verNum; i++) {
		cout << i << " " << (distance[i] == INFTY ? -1 : distance[i]) << endl;
	}
}


int main() {

	int verNum;
//	int verValWeight[100][100];
	vector<pair<int, int>> v_w_m[10000];
	int parent[10000];

	//???????¨????
//	v_w_m = new vector<pair<int, int>>();
	cin >> verNum;
	//for (int i = 0; i < verNum; i++)
	//	for (int j = 0; j < verNum; j++)
	//		verValWeight[i][j] = INFTY;

	//??\?????????
	for (int i = 0; i < verNum; i++) {
		int verVal, outNum;
		cin >> verVal >> outNum;
		for (int j = 0; j < outNum; j++) {
			int outVerVal, weight;
			cin >> outVerVal >> weight;
//			v_w_m[verVal].push_back(make_pair(outVerVal, weight));
			v_w_m[verVal].push_back(make_pair(outVerVal, weight));
			//			verValWeight[i][outVerVal] = weight;
		}
	}

	//SSSP
	Dijkstra(v_w_m, verNum);

	return 0;
}

C++: #include <bits/stdc++.h>
using namespace std;
typedef long long ll;
#define rep(i, start, n) for (int i = (int)(start); i < (int)(n); ++i)
static const int INFTY = (1 << 30);
int n;
void search(vector<vector<int> > &G1, vector<vector<int> > &G2, int *d, bool *v)
{
    int mini, minv;
    while (1)
    {
        bool iscomp = true;
        minv = INFTY;
        rep(i, 0, n)
        {
            if (!v[i] && d[i] < minv)
            {
                mini = i;
                minv = d[i];
                iscomp = false;
            }
        }
        if (iscomp)
            break;
        v[mini] = true;
        rep(i, 0, G1[mini].size())
        {
            int tmp = G1[mini][i];
            if (!v[tmp])
            {
                int tmptime = minv + G2[mini][i];
                if (tmptime < d[tmp])
                    d[tmp] = tmptime;
            }
        }
    }
}
int main()
{
    cin >> n;
    vector<vector<int> > G1(n, vector<int>(0)), G2(n, vector<int>(0));
    int d[n];
    bool v[n] = {};
    rep(i, 0, n) d[i] = INFTY;
    int utmp, ktmp, vtmp, ctmp;
    rep(i, 0, n)
    {
        cin >> utmp >> ktmp;
        rep(j, 0, ktmp)
        {
            cin >> vtmp >> ctmp;
            G1[utmp].push_back(vtmp);
            G2[utmp].push_back(ctmp);
        }
    }
    d[0] = 0;
    search(G1, G2, d, v);
    rep(i, 0, n)
    {
        printf("%d %d\n", i, d[i]);
    }
}

C++: #include <bits/stdc++.h>
#define rep(i,n) for (int i = 0; i < (n); ++i)
using namespace std;
typedef float fl;
typedef long long ll;

static const int MAX = 10000;
static const int INF = (1<<20);
static const int WHITE = 0;
static const int GRAY = 1;
static const int BLACK = 2;

int n;
vector<pair<int, int> > adj[MAX];

void dijkstra() {
    priority_queue<pair<int, int> > pq;
    int color[MAX];
    int d[MAX];
    rep(i,n){
        d[i] = INF;
        color[i] = WHITE;
    }

    d[0] = 0;
    pq.emplace(0,0);
    color[0] = GRAY;
    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;
        rep(j,adj[u].size()) {
            int v = adj[u][j].first;
            if (color[v] == BLACK) continue;
            if (d[v] > d[u] + adj[u][j].second) {
                d[v] = d[u] + adj[u][j].second;
                pq.emplace(d[v]*(-1),v);
                color[v] = GRAY;
            }
        }
    }

    rep(i,n) cout << i << " " << ( d[i] == INF ? -1 : d[i]) << endl;
}

int main() {
    int k, u, v, c;
    cin >> n;
    rep(i,n) {
        cin >> u >> k;
        rep(j,k){
            cin >> v >> c;
            adj[u].emplace_back(v,c);
        }
    }
    dijkstra();
    return 0;
}