Go: package main

import (
	"fmt"
	"container/heap"
)

type Node struct {
	Id int
	Dis int
}

type PriorityQueue []*Node

func (pq PriorityQueue) Len() int { return len(pq) }

func (pq PriorityQueue) Less(i, j int) bool {
	return pq[i].Dis < pq[j].Dis
}

func (pq PriorityQueue) Swap(i, j int) {
	pq[i], pq[j] = pq[j], pq[i]
}

func (pq *PriorityQueue) Push(x interface{}) {
	*pq = append(*pq, x.(*Node))
}

func (pq *PriorityQueue) Pop() interface{} {
	n := len(*pq)
	pop := (*pq)[n-1]
	*pq = (*pq)[0:n-1]
	return pop
}

func main() {
	var n int
	fmt.Scan(&n)

	g := make([][]int, n)
	c := make([][]int, n)
	pq := make(PriorityQueue, 0, n)
	d := make([]int, n)
	for i := 0; i < n; i++ {
		var u,k int
		fmt.Scan(&u)
		fmt.Scan(&k)
		g[u] = make([]int, k)
		c[u] = make([]int, k)
		for j := 0; j < k; j++ {
			fmt.Scan(&g[u][j])
			fmt.Scan(&c[u][j])
		}

		if u == 0 {
			d[u] = 0
		} else {
			d[u] = 1 << 30
		}
		pq.Push(&Node{u, d[u]})
	}
	heap.Init(&pq)

	for pq.Len() > 0 {
		node := heap.Pop(&pq).(*Node)
		for i := 0; i < len(g[node.Id]); i++ {
			nextId := g[node.Id][i]
			nextDis := node.Dis + c[node.Id][i]
			if nextDis < d[nextId] {
				d[nextId] = nextDis
				heap.Push(&pq, &Node{nextId, nextDis})
			}
		}
	}

	for i := 0; i < n; i++ {
		fmt.Println(i, d[i])
	}
}

C++: #include <bits/stdc++.h>
using namespace std;
#define rep(i, n) for (int i = 0; i < (int)(n); i++)
#define repr(i, n) for (int i = (int)(n); i >= 0; i--)
#define REP(i, m, n) for (int i = (int)(m); i <= (int)(n); i++)
#define REPR(i, m, n) for (int i = (int)(m); i >= (int)(n); i--)
#define all(v) v.begin(), v.end()
typedef long long ll;
const int INF = 1001001001;

template<class T> inline bool chmax(T& a, T b) { if (a < b) { a = b; return 1; } return 0; }
template<class T> inline bool chmin(T& a, T b) { if (a > b) { a = b; return 1; } return 0; }

using Graph = vector<vector<int> >;

int n;
vector<bool> seen;
vector<int> dist;
priority_queue<pair<int, int> > pq;

void dijkstra(const Graph &G, int v){
  seen[v] = true;

  rep(u, n){
    if(G[v][u] == -1) continue;
    if(seen[u] == true) continue;
    if(chmin(dist[u], dist[v]+G[v][u])) pq.push(make_pair((-1)*dist[u], u));
  }

  while(!pq.empty()){
    pair<int, int> tmp;
    tmp = pq.top();
    pq.pop();
    if(seen[tmp.second]) continue;
    int nv = tmp.second;
    dijkstra(G, nv);
  }

  return;
}

int main(){
  cin >> n;

  Graph G(n, vector<int>(n, -1));
  rep(i, n){
    int v, k; cin >> v >> k;
    rep(j, k){
      int u, c; cin >> u >> c;
      G[v][u] = c;
    }
  }

  seen.assign(n, false);
  dist.assign(n, INF);
  dist[0] = 0;
  dijkstra(G, 0);

  rep(i, n) cout << i << " " << dist[i] << endl;

  return 0;
}

C++: #include<iostream>
#include<algorithm>
#include<vector>
#define MAX 101
#define INF 1000001
using namespace std;

int n, isSelected[MAX], dist[MAX];
vector<pair<int, int>> ver[MAX];

void initDijkstra(void);
void dijkstra(void);
bool doesFinished(void);

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

	initDijkstra();

	while (!doesFinished())dijkstra();

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

	return 0;
}

void initDijkstra(void) {

	dist[0] = 0;
	isSelected[0] = 1;
	for (int i = 1; i < n; i++)dist[i] = INF;

	vector<pair<int, int>>::iterator itv;

	for (itv = ver[0].begin(); itv != ver[0].end(); itv++) {
		dist[itv->first] = itv->second;
	}

}

void dijkstra(void) {
	int i, minu, mindist = INF;
	vector<pair<int, int>>::iterator itv;

	for (i = 0; i < n; i++) {
		if (isSelected[i] == 0)continue;
		for (itv = ver[i].begin(); itv != ver[i].end(); itv++){
			if (isSelected[itv->first] == 1)continue;
			if (itv->second < mindist) {
				mindist = itv->second;
				minu = itv->first;
			}
		}
	}
	isSelected[minu] = 1;
	//dist[minu] = dist[minp] + mindist;
	for (itv = ver[minu].begin(); itv != ver[minu].end(); itv++) {
		if (isSelected[itv->first] == 1)continue;
		dist[itv->first] = min(dist[minu] + itv->second, dist[itv->first]);
	}
}

bool doesFinished(void) {
	for (int i = 0; i < n; i++) {
		if (isSelected[i] == 0)return false;
	}
	return true;
}

C++: #include <iostream>
#include <vector>
#include <queue>
using namespace std;
#define INF 1e9
typedef pair<int, int> pi;
int graph[200][200];
int used[200];
int dist[200];
// first:weight, second:key
priority_queue<pi, vector<pi>, greater<pi>> pqueue;

int main() {
  int n;
  cin >> n;
  for (int i = 0; i < n; i++) {
    dist[i] = INF;
    for (int j = 0; j < n; j++) {
      graph[i][j] = -1;
    }
  }
  for (int i = 0; i < n; i++) {
    int u, k;
    cin >> u >> k;
    int v, c;
    for (int j = 0; j < k; j++) {
      cin >> v;
      cin >> graph[u][v]; 
    }
  }
  
  pqueue.push(make_pair(0,0));
  dist[0] = 0;
  for (int i = 0; i < n; i++) {
    pi p = pqueue.top();
    pqueue.pop();
    int key = p.second;
    if (used[key] == 1) {
      i--;
      continue;
    }
    dist[key] = min(p.first, dist[key]);
    used[key] = 1;
    for (int j = 0; j < n; j++) {
      if (graph[key][j] != -1 && used[j] != 1) {
        int d = graph[key][j] + dist[key];
        pqueue.push(make_pair(d, j));
      }
    }
  }

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

C++: // http://judge.u-aizu.ac.jp/onlinejudge/description.jsp?id=ALDS1_12_A
// Graph II - Single Source Shortest Path I
// TODO: REVIEW

#define SUBMIT
//#define DEBUG

#include <utility>
#include <algorithm>
#include <iostream>
#include <iomanip>
#include <vector>
#include <limits>
#include <numeric>
#include <functional>
#include <set>
#include <cmath>
#include <cstring>
#include <climits>
#include <memory>

using namespace std;
using ui64 = unsigned long long;
using i64 = long long;

enum class color_type {
    white,
    gray,
    black
};

const int INF = INT_MAX >> 1;
const ui64 MAX_N = 100;
int weight[MAX_N][MAX_N];
int n;

int dijkstra() {
    int d[MAX_N];
    color_type color[MAX_N];

    for (int i = 0; i < n; ++i) {
        d[i] = INF;
        color[i] = color_type::white;
    }

    d[0] = 0;
    color[0] = color_type::gray;
    while (true) {
        int u = -1, min_v = INF;
        for (int i = 0; i < n; ++i) {
            if(d[i] < min_v && color[i] != color_type::black) {
                u = i;
                min_v = d[i];
            }
        }

        if (u == -1) break;

        color[u] = color_type::black;
        for (int v = 0; v < n; ++v) {
            if (color[v] != color_type::black && weight[u][v] != INF) {
                if (d[u] + weight[u][v] < d[v]) {
                    d[v] = d[u] + weight[u][v];
                    color[v] = color_type::gray;
                }
            }
        }
    }

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

int main() {
#ifdef SUBMIT
    auto& stream = cin;
#else
    string program_input_str = R"(5
0 3 2 3 3 1 1 2
1 2 0 2 3 4
2 3 0 3 3 1 4 1
3 4 2 1 0 1 1 4 4 3
4 2 2 1 3 3
)";
    stringstream stream(program_input_str);
#endif

    stream >> n;
    for (int y = 0; y < n; ++y) {
        for (int x = 0; x < n; ++x) {
            weight[y][x] = INF;
        }
    }

    int u, v, c, degree;
    for (int i = 0; i < n; ++i) {
        stream >> u >> degree;
        for (int d = 0; d < degree; ++d) {
            stream >> v >> c;
            weight[u][v] = c;
        }
    }

#ifdef DEBUG
    for (int y = 0; y < n; ++y) {
        for (int x = 0; x < n; ++x) {
            cout << weight[y][x] << " ";
        }
        cout << endl;
    }
#endif

    dijkstra();
    return 0;
}