Go: package main

import (
	"bufio"
	"fmt"
	"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
}

type Neighbor struct {
	node   int
	weight int
}

func main() {
	sc := bufio.NewScanner(os.Stdin)
	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.Printf("%d %d\n", 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) ([][]Neighbor, error) {
	adjacentMatrix := make([][]Neighbor, n)
	for i := 0; i < n; i++ {
		id, err := nextInt(sc)
		if err != nil {
			return nil, err
		}
		adjacentMatrix[id] = []Neighbor{}
		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] = append(adjacentMatrix[id], Neighbor{v, c})
		}
	}
	return adjacentMatrix, nil
}

func sssp(nodeStack []int, shortestList []ShortestInfo, adjacentMatrix [][]Neighbor) {
	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 [][]Neighbor) []Edge {
	adjacents := adjacentMatrix[currentNode]
	edges := []Edge{}
	for _, neighbor := range adjacents {
		edges = append(edges, Edge{start: currentNode, end: neighbor.node, weight: neighbor.weight})
	}
	return edges
}

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

C++: #include <vector>
#include <iostream>
#include <algorithm>
#include <limits>
#include <queue>

using namespace std;
using graph = vector<vector<int>>;


struct edge {
    int src;
    int dst;
    int weight;

    edge(int src, int dst, int w) : src(src), dst(dst), weight(w) {}
};

bool operator < (const edge &a, const edge &b) {
  return a.weight > b.weight;
}


int main() {
    int n;
    cin >> n;

    graph G(n, vector<int>(n, -1));
    for (int i = 0; i < n; ++i) {
        int u, k;
        cin >> u >> k;

        for (int j = 0; j < k; ++j) {
            int v, c;
            cin >> v >> c;
            G[u][v] = c;
        }
    }

    // Dijkstra's algorithm (with pritority queue)
    vector<int> d(n, -1);
    vector<bool> visited(n, false);
    priority_queue<edge> Q;

    Q.push(edge(-1, 0, 0));
    while (!Q.empty()) {
        auto e = Q.top(); Q.pop();
        if (visited[e.dst])
            continue;
        d[e.dst] = e.weight;
        visited[e.dst] = true;

        int i = e.dst;
        int minw = numeric_limits<int>::max();
        for (int j = 0; j < n; ++j) {
            if (visited[j] || G[i][j] < 0)
                continue;
            int w = G[i][j] + d[i];
            if (w < minw) {
                minw = w;
                Q.push(edge(i, j, w));
            }
        }
    }

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

    return 0;
}

C++: #include <bits/stdc++.h>

using namespace std;

typedef pair<int, int> P;

const int INF = 1 << 29;

int main() {
  int n;
  cin >> n;

  vector<vector<P>> edge(n);
  for (int i = 0; i < n; i++) {
    int u, k;
    cin >> u >> k;
    for (int j = 0; j < k; j++) {
      int v, c;
      cin >> v >> c;
      edge[u].push_back(P(c, v));
    }
  }

  vector<int> dist(n, INF);
  priority_queue<P, vector<P>, greater<P>> que;
  dist[0] = 0;
  que.push(P(0, 0));
  while (!que.empty()) {
    P p = que.top();
    que.pop();

    for (int i = 0; i < edge[p.second].size(); i++) {
      if (dist[edge[p.second][i].second] > p.first + edge[p.second][i].first) {
        dist[edge[p.second][i].second] = p.first + edge[p.second][i].first;
        que.push(
            P(p.first + edge[p.second][i].first, edge[p.second][i].second));
      }
    }
  }

  for (int i = 0; i < n; i++) {
    cout << i << " " << dist[i] << "\n";
  }

  return 0;
}

C++: #include<iostream>
#include<algorithm>
#include<queue>
using namespace std;
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];

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

  for(i = 0;i < n;i++){
    d[i] = INFTY;
    color[i] = WHITE;
  }

  d[0] = 0;
  PQ.push(make_pair(0,0));
  color[0] = GRAY;

  while(!PQ.empty()){
    pair<int,int>a = PQ.top(); PQ.pop();

    int u = a.second;
    color[u] = BLACK;

    if(d[u] < a.first*(-1)) continue;

    for(j = 0;j < adj[u].size();j++){
      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;
      }
    }
  }

  for(i = 0;i < n;i++){
    cout << i << " " << (d[i] == INFTY ? -1 : d[i]) << endl;
  }
}

int main(){
  int i, j, k, u, v, c;

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

  dijkstra();

  return 0;
}

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

using namespace std;

int main() {
    int32_t n;
    cin >> n;

    vector<vector<pair<int32_t, int32_t>>> A(n);

    for (int32_t i = 0; i < n; i++) {
        int32_t u, k;
        cin >> u >> k;

        for (int32_t j = 0; j < k; j++) {
            int32_t v, c;
            cin >> v >> c;
            A[u].push_back(make_pair(c, v));
        }
    }

    vector<int32_t> d(n, INT32_MAX);
    vector<bool> visited(n, false);
    priority_queue<pair<int32_t, int32_t>, vector<pair<int32_t, int32_t>>, greater<pair<int32_t, int32_t>>> q;
    q.push(make_pair(0, 0));

    while (!q.empty()) {
        int32_t u, d_u;
        tie(d_u, u) = q.top();
        q.pop();

        if (visited[u]) continue;
        visited[u] = true;

        d[u] = d_u;

        for (auto e : A[u]) {
            int32_t v, d_uv;
            tie(d_uv, v) = e;

            if (d[v] > d_u + d_uv) {
                q.push(make_pair(d_u + d_uv, v));
            }
        }
    }

    for (int32_t i = 0; i < n; i++) {
        cout << i << " " << d[i] << endl;
    }

    return 0;
}