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++: // ConanYu's https://vjudge.net/solution/13220749
// semon0x29a's https://vjudge.net/solution/13218148

#include <bits/stdc++.h>
using namespace std;
using LL = long long;
using pi = pair<int, int>;

const int INF = 0x3F3F3F3F;
const int maxN = 10010;

int n;
bool mark[maxN];
LL dis[maxN];
map<pi, LL> path;

void init() {
	memset(dis, 0x3F, sizeof(dis));
}

void dijkstra() {
	dis[0] = 0;
	for (int i=0; i<n; ++i) {
		int marker = 0, amin = INF;
		for (int i=0; i<n; ++i) if (!mark[i]) {
			if (dis[i] < amin) {
				amin = dis[i];
				marker = i;
			}
		}
		mark[marker] = true;
		for (int i=0; i<n; ++i) if (!mark[i]) {
			if (path.count({marker, i}))
			if (dis[i] > dis[marker] + path[{marker, i}])	
				dis[i] = dis[marker] + path[{marker, i}];
		}
	}
}

int main()
{
	init();
	
	scanf("%d", &n);
	for (int i=0; i<n; ++i) 
	{
		int u, k; scanf("%d%d", &u, &k);
		while (k--) {
			int v; LL c; scanf("%d%lld", &v, &c);
			if (path.count({u, v}))
				path[{u, v}] = min(path[{u, v}], c);
			else path[{u, v}] = c;
			path[{v, u}] = path[{u, v}];
		}
	}
	
	dijkstra();
	for (int i=0; i<n; ++i) {
		printf("%d %lld\n", i, dis[i]);
	}
}

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

using namespace std;
using ll = long long int;
#define rep(i,n) for(int i = 0; i < n; i++)
#define FOR(i, a, b)  for(int i = (a); i < (b) ; i++)

#define pb push_back
#define SORT(v,n) sort(v, v+n)
#define ALL(x) (x).begin(),(x).end()
#define debug(x) cerr << #x << ": " << x << '\n'
#define elif else if
#define itn ll
#define int ll
const int INF = 100100100;
const int MOD = (int)1e9 + 7;
const double EPS = 1e-9;
///                →,↑,←,↓,↗,↖,↙,↘
int dx[8] = { 1, 0, -1, 0, 1, -1, -1, 1 };
int dy[8] = { 0, 1, 0, -1, 1, 1, -1, -1 };

typedef vector<vector<int>> vvi;
typedef vector<vector<vector<int>>> vvvi;

static const int MAX = 100;
static const int White = 0;
static const int Gray = 1;
static const int Black = 2;


int n, M[MAX][MAX];
int d[MAX], p[MAX],color[MAX];

void dijkstra() {
	rep(i, n) {
		color[i] = White;
		d[i] = INF;
		p[i] = -1;
	}
	d[0] = 0;
	while (true) {
		int u, mincost = INF;
		rep(i, n) {
			if (color[i] != Black and d[i] < mincost) {
				u = i;
				mincost = d[i];
			}
		}
		if (mincost == INF) break;
		color[u]  = Black;
		int v;
		rep(v, n) {
			if (color[v] != Black and M[u][v] != INF) {
				if (d[u] + M[u][v] < d[v]) {
					d[v] = d[u] + M[u][v];
					p[v] = u;
					color[v] = Gray;
				}
			}
		}
	}
	rep(i, n) {
		cout << i << ' ' << d[i] << '\n';
	}
}

signed main() {
	ios::sync_with_stdio(false);
	int i, j, k;
	cin >> n;
	rep(i, n) {
		rep(j, n) {
			M[i][j] = INF;
		}
	}
	rep(i, n) {
		int u, k;
		cin >> u >> k;
		rep(j, k) {
			int c,v;
			cin >> v >> c;
			M[u][v] = c;
		}
	}
	dijkstra();
	return 0;
}

C++: #include<iostream>
#include<vector>
#include<climits>
#include<cmath>
#include<queue>
 
using namespace std;
 
struct edge {
  int to, cost;
};
 
struct state {
  int pos, cost;
 
  bool operator < (const state& s) const {
    return cost > s.cost;
  }
};
 
int main() {
  int n; cin >> n;
 
  vector< vector<edge> > edges(n, vector<edge>());
  for (int i = 0; i < n; i++) {
    int u, k; cin >> u >> k;
 
    while (k--) {
      int to, cost; cin >> to >> cost;
      edges[u].push_back((edge) { to, cost});
    }
  }
 
  priority_queue<state> queue;
  vector<int> costs(n, INT_MAX);
  costs[0] = 0;
  queue.push((state) {0, 0});
 
  while(!queue.empty()) {
    const state now = queue.top();
    queue.pop();
 
    
     
    for (int i = 0; i < edges[now.pos].size(); i++) {
      state nex = now;
      nex.pos = edges[now.pos][i].to;
      nex.cost += edges[now.pos][i].cost;
      if (costs[nex.pos] > nex.cost) {
        costs[nex.pos] = nex.cost;
        queue.push(nex);
      }
    }
  }
 
  for (int i = 0; i < n; i++)
    cout << i << " " << costs[i] << endl;
   
  return 0;
}

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

using namespace std;

#define INF (10000001)

typedef pair<int, int> Edge;

int main()
{
    priority_queue<Edge,vector<Edge>,greater<Edge> > pq;
    vector<vector<Edge> > e;
    vector<int> d;
    Edge etemp;
    int n,u,k,v,c;
    cin >> n;
    e.resize(n);
    d.resize(n);
    for(int i=0; i<n; ++i) {
        cin >> u >> k;
        for(int j=0; j<k; ++j) {
            cin >> v >> c;
            e[u].push_back(Edge{c,v});
        }
        d[u]=INF;
    }

    d[0]=0;
    for(auto x : e[0]) {
        pq.push(x);
    }
    while(!pq.empty()) {
        etemp=pq.top(); pq.pop();
        v=etemp.second;
        c=etemp.first;
        if(d[v]<c) continue;
        d[v]=c;
        for(auto x : e[v]) {
            if(d[x.second]<=c+x.first) continue;
            pq.push(Edge{c+x.first,x.second});
        }
    }
    for(int i=0; i<n; ++i) {
        cout << i << " " << d[i] << endl;
    }
    return 0;
}