Go: package main

import (
	"bufio"
	"fmt"
	"os"
	"strconv"
)

const BIG_COST = 200000

type Path struct {
	node int
	cost int
}

func main() {
	sc := bufio.NewScanner(os.Stdin)
	sc.Split(bufio.ScanWords)

	nNodes := scanInt(sc)

	// 各頂点につながる頂点一覧を得るための隣接リスト
	graph := make([][]Path, nNodes)

	for i := 0; i < nNodes; i++ {
		u := scanInt(sc)
		k := scanInt(sc)
		graph[i] = make([]Path, k)
		for d := 0; d < k; d++ {
			graph[u][d] = Path{
				node: scanInt(sc),
				cost: scanInt(sc),
			}
		}
	}

	// 0 から各頂点への最小コストを保存する配列
	minCosts := make([]int, nNodes)

	minCosts[0] = 0
	for i := 1; i < nNodes; i++ {
		minCosts[i] = BIG_COST
	}

	// 各頂点が調査済みかどうかを保持する配列
	checked := make([]bool, nNodes)

	// 最小コストのパスを高速に取得するためのヒープ。
	// コストが小さいものほどルートに来るようにする。
	heap := NewHeap(func(a, b Path) bool {
		return a.cost < b.cost
	})

	heap.insert(Path{node: 0, cost: 0})
	for heap.size > 0 {
		u := heap.extractMax()

		// 隣接行列を使っていた時とは違い、ヒープには
		// 同じノードへのパスが複数含まれうる。そのため既によりコストの低い
		// パスが見つかっている場合は無視する。
		if minCosts[u.node] < u.cost {
			continue
		}

		checked[u.node] = true

		for _, v := range graph[u.node] {
			cost := v.cost + u.cost
			if !checked[v.node] && cost < minCosts[v.node] {
				minCosts[v.node] = cost
				heap.insert(Path{node: v.node, cost: cost})
			}
		}
	}

	w := bufio.NewWriter(os.Stdout)
	for i, cost := range minCosts {
		fmt.Fprintf(w, "%d %d\n", i, cost)
	}
	w.Flush()
}

func scanInt(sc *bufio.Scanner) int {
	sc.Scan()
	v, _ := strconv.Atoi(sc.Text())
	return v
}

// --- From ALDS1_9_C: Priority Queue

type Heap struct {
	size   int
	heap   []Path
	isHigh func(a, b Path) bool
}

func NewHeap(isHigh func(a, b Path) bool) Heap {
	heap := make([]Path, 1) // 先頭は不使用
	return Heap{size: 0, heap: heap, isHigh: isHigh}
}

func (h *Heap) insert(v Path) {
	h.size += 1
	if h.size > len(h.heap)-1 {
		h.heap = append(h.heap, v)
	} else {
		h.heap[h.size] = v
	}

	for i := h.size; i > 1; {
		parent := i / 2
		if h.isHigh(h.heap[parent], h.heap[i]) {
			break
		}
		h.heap[i], h.heap[parent] = h.heap[parent], h.heap[i]
		i = parent
	}
}

func (h *Heap) extractMax() Path {
	if h.size <= 0 {
		panic("cannot extract from empty heap")
	}

	max := h.heap[1]
	h.heap[1] = h.heap[h.size]
	h.size -= 1
	h.maxHeapify(1)

	return max
}

func (h *Heap) maxHeapify(idx int) {
	left := idx * 2
	right := left + 1
	largest := idx

	if left <= h.size {
		if h.isHigh(h.heap[left], h.heap[idx]) {
			largest = left
		}
		if right <= h.size && h.isHigh(h.heap[right], h.heap[largest]) {
			largest = right
		}
	}

	if largest != idx {
		h.heap[idx], h.heap[largest] = h.heap[largest], h.heap[idx]
		h.maxHeapify(largest)
	}
}

C++: #include <iostream>
#include <queue>
#include <utility>
#include <vector>

#define MAX_NODE 10000
#define INF 1000000000

using namespace std;

struct Edge {int to, w;};
typedef pair<int, int> PII;

vector<Edge> adj[MAX_NODE];
int d[MAX_NODE];

void dijkstra(int n, int start) {
	priority_queue<PII, vector<PII>, greater<PII>> que;
	fill(d, d + n, INF);

	d[start] = 0;
	que.emplace(0, start);
	while (!que.empty()) {
		PII p = que.top();
		que.pop();
		int from = p.second;

		if (d[from] < p.first)
			continue;

		for (auto& e : adj[from])
			if (d[from] + e.w < d[e.to]) {
				d[e.to] = d[from] + e.w;
				que.emplace(d[e.to], e.to);
			}
	}
}

int main() {
	ios::sync_with_stdio(false);
	std::cin.tie(NULL);

	int n;

	cin >> n;

	for (int i = 0; i < n; i++) {
		int u, k;
		cin >> u >> k;
		while (k--) {
			int v, c;
			cin >> v >> c;
			adj[u].push_back(v, c);
		}
	}

	dijkstra(n, 0);

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

	return 0;
}

C++: #include <map>
#include <set>
#include <list>
#include <cmath>
#include <queue>
#include <stack>
#include <cstdio>
#include <string>
#include <vector>
#include <complex>
#include <cstdlib>
#include <cstring>
#include <numeric>
#include <sstream>
#include <iostream>
#include <algorithm>
#include <functional>

#define mp       make_pair
#define pb       push_back
#define all(x)   (x).begin(),(x).end()
#define rep(i,n) for(int i=0;i<(n);i++)
#define repi(i,a,b) for(int i = (a); i < (b); i++)

using namespace std;

typedef    long long          ll;
typedef    unsigned long long ull;
typedef    vector<bool>       vb;
typedef    vector<int>        vi;
typedef    vector<vb>         vvb;
typedef    vector<vi>         vvi;
typedef    pair<int,int>      pii;

const int INF=1<<29;
const double EPS=1e-9;

const int dx[]={1,0,-1,0},dy[]={0,-1,0,1};
const int MAX_N =10000;

struct edge
{
	int to,cost;
	edge(int _to,int _cost){
		to =_to;
		cost =_cost;
	}
};

int V;
vector<edge> cost[MAX_N];
int d[MAX_N];
bool visit[MAX_N];
void dijkstra(int s){
	d[s]=0;
	priority_queue<pii, vector<pii> ,greater<pii> > que;
	que.push(mp(0,s));
	while(!que.empty()){
		pii p =que.top();
		que.pop();
		int v =p.second;
		//if(d[v] != p.first)continue;
		for(int i =0;i <cost[v].size();i++){
			edge e =cost[v][i];
			if(d[e.to] >d[v]+e.cost){
				d[e.to] =d[v] +e.cost;
				que.push(mp(d[e.to],e.to));
			}
		}
	}
}

int main(){
	cin>>V;
	for(int i =0;i <V;i++){
		d[i]=INF;
		int u,k;
		cin>>u>>k;
		for(int j =0;j <k;j++){
			int to,c;
			cin>>to>>c;
			cost[u].push_back(edge(to,c));
		}
	}
	
	dijkstra(0);
	for(int i =0;i <V;i++){
		cout <<i<<" "<<d[i]<<endl;
	}
	return 0;
}

C++: #include <iostream>
#include <vector>
using namespace std;
typedef unsigned short ushort;
typedef vector <int> vi;
typedef vector <vi> vvi;

class blanch{
	public:
		bool visited;
		int distance;
		ushort from;
};
typedef vector <blanch> vb;

int make_graph(vvi &graph, vb &nodes){
	int n=graph.size();
	for (int i=0; i<n; i++){
		for (int j=0; j<n; j++){
			graph[i][j]=-1;
		}
		nodes[i].visited = false;
		nodes[i].distance = INT_MAX;
	}

	for (int i=0; i<n; i++){
		int i2,n2;
		cin>>i2;
		cin>>n2;
		for (int j=0; j<n2; j++){
			int j2;
			cin>>j2;
			cin>>graph[i2][j2];
		}
	}
	return 0;
}

int Shortest_Path(vvi &graph, vb &nodes){

	int n = graph.size(), p1=0;
	nodes[p1].distance = 0;

	while (p1 != -1){
		nodes[p1].visited=true;
		cout<<"node: "<<p1<<", distance: "<<nodes[p1].distance<<endl;
		for (int p2 = 0; p2 < n; p2++){
			int *tmp = &graph[p1][p2];
			if (*tmp!=-1 && nodes[p2].visited==false){
				int tmp2 = *tmp + nodes[p1].distance;
				if (tmp2 < nodes[p2].distance){
					nodes[p2].distance = tmp2;
					nodes[p2].from = p1;
				}
			}
		}

		p1 = -1;
		int tmp;
		tmp = INT_MAX;
		for (int i=0; i<n; i++){
			if (nodes[i].visited==false && nodes[i].distance<tmp){
				p1 = i;
				tmp = nodes[i].distance;
			}
		}
	}
	return 0;
}

int resultout(vb &nodes){
	int n = nodes.size();
	for (int i=0; i<n; i++){
		cout<<i<<" "<<nodes[i].distance<<endl;
	}
	return 0;
}

int main(void){

	int n;
	cin>>n;
	vvi G(n, vi(n));
	vb nodes(n);

	make_graph(G, nodes);

	Shortest_Path(G, nodes);

	resultout(nodes);

	return 0;
}

C++: #include <iostream>
#include <vector>
#include <queue>
 
using namespace std;
 
struct adja {
    int v;
    int c;
};
 
int n;
vector<adja> g[10000];
int d[10000];
 
void search() {
    fill_n(d, n, 1 << 20);
    queue<int> q;
    q.push(0);
    d[0] = 0;
    while (!q.empty()) {
        int u = q.front();
        q.pop();
        for (int i = 0, s = g[u].size(); i < s; ++i) {
            if (d[g[u][i].v] > d[u] + g[u][i].c) {
                d[g[u][i].v] = d[u] + g[u][i].c;
                q.push(g[u][i].v);
            }
        }
    }
}
 
int main() {
    int u, k, v, c;
    cin >> n;
    for (int i = 0; i < n; ++i) {
        cin >> u >> k;
        g[u].resize(k);
        for (int j = 0; j < k; ++j) {
            cin >> g[u][j].v >> g[u][j].c;
        }
    }
    search();
    for (int i = 0; i < n; ++i) {
        cout << i << " " << d[i] << endl;
    }
 
    return 0;
}