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

static const int MAX = 10000;
static const int INFTY = (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];

// int prim() {
//    int u, minv;
//    int d[MAX], p[MAX], color[MAX];

//    // 初期化
//    rep(i, n) {
//       d[i] = INFTY;
//       p[i] = -1;
//       color[i] = WHITE;
//    }

//    d[0] = 0;

//    while(1) {
//       minv = INFTY;
//       u = -1;

//       rep(i, n){
//          if (minv > d[i] && color[i] != BLACK) {
//             u = i;
//             minv = d[i];
//          }
//       }
//       if(u == -1) break;
//       // uの決定
//       color[u] = BLACK;

//       rep(v, n) {
//          if(color[v] != BLACK && M[u][v] != INFTY) {
//             if(d[v] > M[u][v]) {
//                d[v] = M[u][v];
//                p[v] = u;
//                color[v] = GRAY;
//             }
//          }
//       }
//    }
//    int sum = 0;
//    rep(i, n) {
//       if(p[i] != -1) sum += M[i][p[i]];
//    }
//    return sum;
// }

// void dijkstra() {
//    int minv;
//    int d[MAX], color[MAX];

//    // 初期化
//    rep(i, n) {
//       d[i] = INFTY;
//       color[i] = WHITE;
//    }

//    d[0] = 0;
//    color[0] = GRAY;

//    while(true) {
//       minv = INFTY;
//       int u = -1;
//       rep(i, n) {
//          if(minv > d[i] && color[i] != BLACK) {
//             u = i;
//             minv = d[i];
//          }
//       }
//       if (u == -1) break;

//       // 最も小さいコストのuが決まる 初回は必ず0になる
//       color[u] = BLACK;

//       rep(v, n) {
//          // 0 ~ n-1の頂点が未訪問かつuとの経路がある場合
//          if(color[v] != BLACK && M[u][v] != INFTY) {
//             // 頂点uを通った方が目的地に近い場合
//             if (d[v] > d[u] + M[u][v]) {
//                d[v] = d[u] + M[u][v];
//                color[v] = GRAY;
//             }
//          }
//       }
//    }

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

void dijkstra() {
   priority_queue< pair<int, int> > PQ;
   int color[MAX];
   int d[MAX];

   rep(i, n) {
      d[i] = INFTY;
      color[i] = WHITE;
   }

   d[0] = 0;
   PQ.push(make_pair(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.push(make_pair(d[v] * (-1), v));
            color[v] = GRAY;
         }
      }
   }
   rep(i, n) {
      cout << i << " " << (d[i] == INFTY ? -1 : d[i]) << endl;
   }
}


int main(){
   cin >> n;
   int k, c, u, v;
   rep(i, n) {
      cin >> u >> k;
      rep(j, k){
         // v は頂点 cはコスト
         cin >> v >> c;
         adj[u].push_back(make_pair(v, c));
      }
   }

   dijkstra();

   return 0;
}

C++: 
import java.io.IOException;
import java.util.Arrays;
import java.util.HashSet;
import java.util.Scanner;
import java.util.Set;

public class Main {

	public static void main(String[] args) throws IOException {

		Scanner in = new Scanner(System.in);

		int u = in.nextInt();
		int[][] mat = new int[u][u];
		for (int i = 0; i < u; i++) {
			Arrays.fill(mat[i], -1);
		}
		for (int i = 0; i < u; i++) {
			int fromNode = in.nextInt();
			int toNodeCount = in.nextInt();
			for (int j = 0; j < toNodeCount; j++) {
				int toNode = in.nextInt();
				int edgeWeight = in.nextInt();
				mat[fromNode][toNode] = edgeWeight;
			}
		}

		// solve
		Set<Integer> x = new HashSet<>();
		Set<Integer> y = new HashSet<>();
		boolean[] visit = new boolean[u];
		for (int i = 1; i < u; i++) {
			y.add(i);
		}
		int[] nodeCost = new int[u];
		Arrays.fill(nodeCost, Integer.MAX_VALUE);
		x.add(0);
		nodeCost[0] = 0;
		visit[0] = true;

		while (!y.isEmpty()) {
			int min = Integer.MAX_VALUE;
			int v = -1;
			for (int from : x) {
				for (int to = 0; to < u; to++) {
					int visitCost = mat[from][to] + nodeCost[from];
					// toのノードが最小コストで訪問済でない場合
					if (mat[from][to] != -1 && !visit[to] && visitCost <= nodeCost[to]) {
						nodeCost[to] = visitCost;
						if (nodeCost[to] < min) {
							min = nodeCost[to];
							v = to;
						}
					}
				}
			}
			x.add(v);
			y.remove(v);
			visit[v] = true;
		}

		for (int i = 0; i < u; i++) {
			System.out.println(i + " " + nodeCost[i]);
		}
	}

}