Go: package main

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

const (
	MAX_N      = 10000
	MAX_WEIGHT = 100000
)

type Edge struct {
	start  int
	end    int
	weight int
}

type ShortestInfo struct {
	edges    []Edge
	shortest int
}

func main() {
	doMain(os.Stdin)
}

func doMain(reader io.Reader) {
	sc := bufio.NewScanner(reader)
	sc.Split(bufio.ScanWords)

	n, err := nextInt(sc)
	if err != nil {
		panic(err)
	}

	shortestList := make([]ShortestInfo, n)
	for i := 1; i < n; i++ {
		shortestList[i] = ShortestInfo{edges: []Edge{}, shortest: MAX_N*MAX_WEIGHT + 1}
	}

	adjacentMatrix, err := createAdjacentMatrix(n, sc)
	if err != nil {
		panic(err)
	}

	sssp([]int{0}, shortestList, adjacentMatrix)
	for _, v := range shortestList {
		fmt.Println(v.getEnd(), v.shortest)
	}
}

func (si ShortestInfo) getEnd() int {
	if len(si.edges) == 0 {
		return 0
	} else {
		return si.edges[len(si.edges)-1].end
	}
}

func createAdjacentMatrix(n int, sc *bufio.Scanner) ([][]int, error) {
	adjacentMatrix := make([][]int, n)
	for i := 0; i < n; i++ {
		id, err := nextInt(sc)
		if err != nil {
			return nil, err
		}
		adjacentMatrix[id] = make([]int, n)
		for j := 0; j < n; j++ {
			adjacentMatrix[id][j] = -1
		}
		vertexNum, err := nextInt(sc)
		if err != nil {
			return nil, err
		}
		for j := 0; j < vertexNum; j++ {
			v, err := nextInt(sc)
			if err != nil {
				return nil, err
			}
			c, err := nextInt(sc)
			if err != nil {
				return nil, err
			}
			adjacentMatrix[id][v] = c
		}
	}
	return adjacentMatrix, nil
}

func sssp(nodeStack []int, shortestList []ShortestInfo, adjacentMatrix [][]int) {
	for len(nodeStack) > 0 {
		currentNode := nodeStack[0]
		nodeStack = nodeStack[1:]
		currentShortest := getShortest(currentNode, shortestList)
		adjacents := findAdjacents(currentNode, adjacentMatrix)
		for i := 0; i < len(adjacents); i++ {
			adj := adjacents[i]
			if currentShortest.shortest+adj.weight < getShortest(adj.end, shortestList).shortest {
				setShortest(adj.end, adj, currentShortest, shortestList)
				nodeStack = append(nodeStack, adj.end)
			}
		}
	}
}

func getShortest(node int, shortestList []ShortestInfo) ShortestInfo {
	return shortestList[node]
}

func setShortest(node int, edge Edge, currentShortest ShortestInfo, shortestList []ShortestInfo) {
	newEdges := make([]Edge, len(currentShortest.edges)+1)
	for i := 0; i < len(newEdges)-1; i++ {
		newEdges[i] = currentShortest.edges[i]
	}
	newEdges[len(newEdges)-1] = edge
	shortestInfo := ShortestInfo{edges: newEdges, shortest: currentShortest.shortest + edge.weight}
	shortestList[node] = shortestInfo
}

func findAdjacents(currentNode int, adjacentMatrix [][]int) []Edge {
	adjacents := adjacentMatrix[currentNode]
	edges := []Edge{}
	for i, v := range adjacents {
		if v >= 0 {
			edges = append(edges, Edge{start: currentNode, end: i, weight: v})
		}
	}
	return edges
}

func nextInt(sc *bufio.Scanner) (int, error) {
	sc.Scan()
	return strconv.Atoi(sc.Text())
}

C++: // #define _GLIBCXX_DEBUG // for STL debug (optional)
#include <iostream>
#include <iomanip>
#include <cstdio>
#include <string>
#include <cstring>
#include <deque>
#include <list>
#include <queue>
#include <stack>
#include <vector>
#include <utility>
#include <algorithm>
#include <map>
#include <set>
#include <complex>
#include <cmath>
#include <limits>
#include <cfloat>
#include <climits>
#include <ctime>
#include <cassert>
#include <numeric>
#include <fstream>
#include <functional>
#include <bitset>
using namespace std;
using ll = long long int;
using int64 = long long int;
 
template<typename T> void chmax(T &a, T b) {a = max(a, b);}
template<typename T> void chmin(T &a, T b) {a = min(a, b);}
template<typename T> void chadd(T &a, T b) {a = a + b;}
 
int dx[] = {0, 0, 1, -1};
int dy[] = {1, -1, 0, 0};
const int INF = 1LL << 29;
const ll LONGINF = 1LL << 60;
const ll MOD = 1000000007LL;
 
int main() {
    int N; scanf("%d", &N);
    vector< vector< pair<int, int> > > G(N);
    for(int i=0; i<N; i++) {
        int u, k; scanf("%d%d", &u, &k);
        for(int j=0; j<k; j++) {
            int v, c; scanf("%d%d", &v, &c);
            G[u].emplace_back(v, c);
        }
    }

    vector<int> dist(N, INF), checked(N);
    dist[0] = 0, checked[0] = true;

    int u = 0;
    for(int i=0; i<N; i++) {
        for(auto e : G[u]) {
            int v, c; tie(v, c) = e;
            chmin(dist[v], dist[u] + c);
        }

        int ma = INF, v = 0;
        for(int k=0; k<N; k++) {
            if(checked[k]) continue;
            if(ma > dist[k]) {
                ma = dist[k];
                v = k;
            }
        }
        checked[v] = true;
        swap(u, v);
    }

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

C++: #include <iostream>
#include <vector>
#include <algorithm>
#include <map>
#include <set>
#include <cmath>
#include <cstring>
#include <iomanip>
#include <random>
#include <chrono>
#include <queue>
using namespace std;
typedef long long ll;
typedef pair<int, int> PII;
typedef pair<ll, ll> PLL;
#define INF 1000000000
#define MOD 1000000007
#define EPS 0.00000001


int main(){
//    隣接リスト入力
//    verify用 judge.u-aizu.ac.jp/onlinejudge/description.jsp?id=ALDS1_12_C&lang=jp
    int V; cin >> V;
    struct edge {
        int to, cost;
    };
    vector<vector<edge>> T(V);
    priority_queue<PII, vector<PII>, greater<PII>> Q;
    vector<int> d(V, INF);

    for(int i=0; i<V; i++){
        int from; cin >> from;
        int k; cin >> k;
        T[i].resize(k);
        for(int j=0; j<k; j++)
            cin>> T[i][j].to >> T[i][j].cost;
    }

    Q.push(PII(0, 0));


//  辺が与えられた場合
//  verify用 judge.u-aizu.ac.jp/onlinejudge/description.jsp?id=GRL_1_A&lang=jp
//    int V, E, S; cin >> V >> E >> S;
//    struct edge {
//        int to, cost;
//    };
//    vector<vector<edge>> T(V);
//    priority_queue<PII, vector<PII>, greater<PII>> Q;
//    vector<int> d(V, INF);
//
//    for(int i=0; i<E; i++){
//        int from, to, cost; cin >> from >> to >> cost;
//        edge e;
//        e.to = to;
//        e.cost = cost;
//        T[from].push_back(e);
//    }
//    Q.push(PII(0, S));

    while(!Q.empty()){
        
        PII p = Q.top();
        int from = p.second;
        int cost = p.first;
        Q.pop();
        
        if(cost > d[from]) continue;
        d[from] = cost;
        for(int i=0; i<T[from].size(); i++){
            edge e = T[from][i];
            if(d[e.to] > d[from] + e.cost){
                Q.push(PII(d[from] + e.cost, e.to));
            }
        }
    }

    for(int i=0; i<V; i++){
        cout << i << " ";
        if(d[i]==INF){
            cout << "INF" << endl;
        }else{
             cout << d[i] << endl;
        }
    }
    return 0;
}