Go: // ダイクストラのアルゴリズム
package main

import (
	"bufio"
	"fmt"
	"log"
	"math"
	"os"
	"strconv"
	"strings"
)

type color int

const (
	white color = iota // 未訪問
	mst                // MSTとして確定
)

// 頂点
type node struct {
	num       int         // 頂点の番号
	weights   map[int]int // 重みMAP
	parent    *node       // MSTへの重み最小の親
	distFromS int         // 始点からの距離
	color     color
}

func main() {
	scanner := bufio.NewScanner(os.Stdin)
	n := eGetInt(scanner)

	nodes := make([]*node, n)
	for i := 0; i < n; i++ {
		weights := eAtoi((strings.Fields(eGetline(scanner))))
		v := &node{weights[0], make(map[int]int, weights[1]), nil, math.MaxInt32, white}
		for j := 0; j < weights[1]; j++ {
			k := weights[j*2+2] // 相手の頂点名
			w := weights[j*2+3] // 重み
			v.weights[k] = w
		}
		nodes[i] = v
	}

	// 初回はnode[0]がMSTに入るように
	nodes[0].distFromS = 0

	for { // 全部チェックするまで

		// どの頂点を新たにMSTに取り込むか

		var minNode *node
		min := math.MaxInt32
		for _, v := range nodes {
			if v.color == mst {
				continue
			}
			if v.distFromS < min {
				min = v.distFromS
				minNode = v
			}
		}
		if minNode == nil {
			// すべて完了している.
			break
		}

		// MSTに追加する頂点決定
		minNode.color = mst

		// fmt.Printf(">[%v]\n", minNode)
		// MSTに属していない頂点それぞれについて,Startからの最小の重みの距離を更新
		for i, v := range nodes {
			if v.color == mst {
				continue
			}
			w, ok := minNode.weights[i]
			if !ok {
				// minNodeと接してない
				continue
			}

			if minNode.distFromS+w < v.distFromS {
				// minNode経由の距離がもっとも重みが少ないので親を変更
				v.distFromS = minNode.distFromS + w
				v.parent = minNode
				// fmt.Printf("[%v %v]\n", v, minNode)
			}
		}
		// fmt.Printf("<\n")
	}

	for i, v := range nodes {
		fmt.Printf("%d %d\n", i, v.distFromS)
	}
}

func eGetInt(scanner *bufio.Scanner) int {
	t := eAtoi(strings.Fields(eGetline(scanner)))
	return t[0]
}

func eGetline(p *bufio.Scanner) string {
	if !p.Scan() {
		if err := p.Err(); err != nil {
			log.Fatal(err.Error())
		}
		return ""
	}
	return p.Text()
}

func eAtoi(s []string) []int {
	ints := make([]int, len(s))
	var err error
	for i, e := range s {
		ints[i], err = strconv.Atoi(e)
		if err != nil {
			log.Fatal(err.Error())
		}
	}
	return ints
}

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;
                }
            }
        }
    }
    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;
}

C++: //#define LOCAL

#include<cstdio>
#include<algorithm>
#include<cstring>

using namespace std;

#define rep(a, b) for(int i = a; i <= b; i++)
#define mst(a) memset(a, 0, sizeof(a))

const int MAX = 1e2 + 10;
const int INF = 0x3f3f3f3f;

int g[MAX][MAX];
int dist[MAX];
bool vis[MAX];

void init(int n)
{
	rep(0, n - 1)
	{
		dist[i] = INF;
		for(int j = 0; j < n; j++)
			g[i][j] = INF;
	}
	mst(vis);
	return;
}

void dijkstra(int n)
{
	rep(0, n - 1)
		dist[i] = INF;
	dist[0] = 0;
	rep(0, n - 1)
	{
		int mnidx = -1, mndist = INF;
		for(int j = 0; j < n; j++)
			if(!vis[j] && dist[j] < mndist)
				mnidx = j, mndist = dist[j];
		vis[mnidx] = true;
		for(int j = 0; j < n; j++)
			if(!vis[j])
				dist[j] = min(dist[j], dist[mnidx] + g[mnidx][j]);
	}
	return;
}

int main()
{

#ifdef LOCAL
	freopen("in.txt", "r", stdin);
#endif

	int n;
	while(~scanf("%d", &n))
	{
		init(n);
		rep(0, n - 1)
		{
			int u, v, w, num;
			scanf("%d%d", &u, &num);
			while(num--)
			{
				scanf("%d%d", &v, &w);
				g[u][v] = w;
			}
		}

		dijkstra(n);

		rep(0, n - 1)
			printf("%d %d\n", i, dist[i]);
	}
	return 0;
}

C++: #include <cstdio>
#include <cstring>
#include <iostream>
#include <algorithm>
#include <vector>
#include <stack>
#include <queue>
#include <set>
#include <map>
#include <string>
#include <cmath>
#include <cstdlib>
using namespace std;
#define Test
const int MAX = 110000;
const int INF = 10000000;
vector<pair<int, int> > G[MAX];
int n;
int dis[MAX];
int vis[MAX];

void dij(int p) {
    for (int i = 0; i < n; i++) dis[i] = INF;
    memset(vis, false, sizeof(vis));
    dis[p] = 0;
    priority_queue<pair<int, int>, vector<pair<int,int>>, greater<pair<int,int>>> pq;
    pq.push(make_pair(0, p));
    while (!pq.empty()) {
        pair<int, int> pr = pq.top();
        pq.pop();
        int point = pr.second;
        if (vis[point]) continue;
        dis[point] = pr.first;
        vis[point] = true;
        for (int i = 0; i < G[point].size(); i++) {
            int pt = G[point][i].second;
            int v = G[point][i].first;
            if (!vis[pt] && dis[pt] > dis[point]+v) {
                dis[pt] = dis[point] + v;
                pq.push(make_pair(dis[pt], pt));
            }
        }
    }
}

int main() {
    //freopen("in.txt", "r", stdin);
    //freopen("out.txt", "w", stdout);
    scanf("%d", &n);
    for (int i = 0; i < n; i++) {
        int p, k;
        scanf("%d %d", &p, &k);
        while (k--) {
            int v, c;
            scanf("%d %d", &v, &c);
            G[p].push_back(make_pair(c, v));
        }
    }
    dij(0);
    for (int i = 0; i < n; i++) {
        printf("%d %d\n", i, dis[i]);
    }
    return 0;
}