Go: package main

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

const BIG_COST = 200000

type Path struct {
	node int
	cost int
}

func main() {
	sc := bufio.NewScanner(os.Stdin)
	sc.Split(bufio.ScanWords)

	nNodes := scanInt(sc)

	// 各頂点につながる頂点一覧を得るための隣接リスト
	graph := make([][]Path, nNodes)

	for i := 0; i < nNodes; i++ {
		u := scanInt(sc)
		k := scanInt(sc)
		graph[i] = make([]Path, k)
		for d := 0; d < k; d++ {
			graph[u][d] = Path{
				node: scanInt(sc),
				cost: scanInt(sc),
			}
		}
	}

	// 0 から各頂点への最小コストを保存する配列
	minCosts := make([]int, nNodes)

	minCosts[0] = 0
	for i := 1; i < nNodes; i++ {
		minCosts[i] = BIG_COST
	}

	// 各頂点が調査済みかどうかを保持する配列
	checked := make([]bool, nNodes)

	// 最小コストのパスを高速に取得するためのヒープ。
	// コストが小さいものほどルートに来るようにする。
	heap := NewHeap(func(a, b Path) bool {
		return a.cost < b.cost
	})

	heap.insert(Path{node: 0, cost: 0})
	for heap.size > 0 {
		u := heap.extractMax()

		// 隣接行列を使っていた時とは違い、ヒープには
		// 同じノードへのパスが複数含まれうる。そのため既によりコストの低い
		// パスが見つかっている場合は無視する。
		if minCosts[u.node] < u.cost {
			continue
		}

		checked[u.node] = true

		for _, v := range graph[u.node] {
			cost := v.cost + u.cost
			if !checked[v.node] && cost < minCosts[v.node] {
				minCosts[v.node] = cost
				heap.insert(Path{node: v.node, cost: cost})
			}
		}
	}

	w := bufio.NewWriter(os.Stdout)
	for i, cost := range minCosts {
		fmt.Fprintf(w, "%d %d\n", i, cost)
	}
	w.Flush()
}

func scanInt(sc *bufio.Scanner) int {
	sc.Scan()
	v, _ := strconv.Atoi(sc.Text())
	return v
}

// --- From ALDS1_9_C: Priority Queue

type Heap struct {
	size   int
	heap   []Path
	isHigh func(a, b Path) bool
}

func NewHeap(isHigh func(a, b Path) bool) Heap {
	heap := make([]Path, 1) // 先頭は不使用
	return Heap{size: 0, heap: heap, isHigh: isHigh}
}

func (h *Heap) insert(v Path) {
	h.size += 1
	if h.size > len(h.heap)-1 {
		h.heap = append(h.heap, v)
	} else {
		h.heap[h.size] = v
	}

	for i := h.size; i > 1; {
		parent := i / 2
		if h.isHigh(h.heap[parent], h.heap[i]) {
			break
		}
		h.heap[i], h.heap[parent] = h.heap[parent], h.heap[i]
		i = parent
	}
}

func (h *Heap) extractMax() Path {
	if h.size <= 0 {
		panic("cannot extract from empty heap")
	}

	max := h.heap[1]
	h.heap[1] = h.heap[h.size]
	h.size -= 1
	h.maxHeapify(1)

	return max
}

func (h *Heap) maxHeapify(idx int) {
	left := idx * 2
	right := left + 1
	largest := idx

	if left <= h.size {
		if h.isHigh(h.heap[left], h.heap[idx]) {
			largest = left
		}
		if right <= h.size && h.isHigh(h.heap[right], h.heap[largest]) {
			largest = right
		}
	}

	if largest != idx {
		h.heap[idx], h.heap[largest] = h.heap[largest], h.heap[idx]
		h.maxHeapify(largest)
	}
}

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

using namespace std;
typedef long long ll;

// #define DEBUG

const int maxint = 1e9;
struct timestamp;
vector<int> shortest;
vector<vector<pair<int, int>>> connective;

void djkstra(int x)
{
    vector<int> search = {x};
    vector<int> new_search;
    shortest[x] = 0;
    int v, d;
    while (!search.empty())
    {
        for (auto itr = search.begin(); itr != search.end(); itr++)
        {
            for (auto itr2 = connective[*itr].begin(); itr2 != connective[*itr].end(); itr2++)
            {
                v = itr2->first, d = itr2->second;
                if (shortest[v] > d + shortest[*itr])
                {
                    shortest[v] = d + shortest[*itr];
                    new_search.push_back(v);
                }
            }
        }
        search.clear();
        search = new_search;
        new_search.clear();
    }
}

int main()
{

#ifdef DEBUG
    cout << "DEBUG MODE" << endl;
    ifstream in("input.txt"); //for debug
    cin.rdbuf(in.rdbuf());    //for debug
#endif

    int n, v, k, x, c;
    cin >> n;
    connective.resize(n);
    for (int i = 0; i < n; i++)
    {
        cin >> v >> k;
        shortest.push_back(maxint);
        for (int j = 0; j < k; j++)
        {
            cin >> x >> c;
            connective[i].push_back(make_pair(x, c));
        }
    }
    djkstra(0);
    for (int i = 0; i < n; i++)
    {
        cout << i << " " << shortest[i] << endl;
    }

    return 0;
}

// getline(cin,s);
// a = strtok(s, ",");  ","で分解
// for (int i = 0; i < n; i++)
// for (int j = 0; j < m; j++)

C++: #include<iostream>
#include<cstdio>
#include<string>
#include<algorithm>
#include<vector>

#define INF 2000000001
#define MAX 10001
#define NIL -1

using namespace std;

typedef struct {
    int toid;
    int far;
} PATH;

vector<PATH> D[MAX];
int N;
int Dist[MAX];

void dijkstra(){//0??????????????¢??????????????£?????????
    
    bool complete[MAX];
    vector<int> S;
    
    for (int i = 0; i < N; i++) {
        complete[i] = false;
        Dist[i] = INF;
    }
 
    //???????¨????
    Dist[0] = 0;
    S.push_back(0);
    int u=0,minf;
    complete[u] = true;
    
    while (1) {
        if (S.size() == N) break;
        
        //????????????
        for (int j = 0; j < D[S[u]].size(); j++) {
            if (!complete[D[S[u]][j].toid] && Dist[S[u]] + D[S[u]][j].far < Dist[D[S[u]][j].toid]) {
                Dist[D[S[u]][j].toid] = Dist[S[u]] + D[S[u]][j].far;
            }
        }
        
        
        
        u = NIL;
        minf = INF;
        
        //?¨??????´??°
        for (int i = 0; i < S.size(); i++) {
            
            for (int j = 0; j < D[S[i]].size(); j++) {
                if (Dist[D[S[i]][j].toid] < minf && !complete[D[S[i]][j].toid]) {
                    minf = Dist[D[S[i]][j].toid];
                    u = D[S[i]][j].toid;
                }
            }
            
        }
        S.push_back(u);
        complete[u] = true;
        u = S.size()-1;//????????§u????????§??¨????????????????????????
    }
}

int main(){
    cin >> N;
    for (int i = 0; i < N; i++) {
        int bb1,bb2;
        cin >> bb1 >> bb2;
        for (int j = 0; j < bb2; j++) {
            PATH bb3;
            cin >> bb3.toid >> bb3.far;
            D[i].push_back(bb3);
        }
    }
    
    dijkstra();
    
    for (int i = 0; i < N; i++) {
        printf("%d %d\n",i,Dist[i]);
    }
    
    return 0;
}

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

#include <criterion/criterion.h>

using namespace std;

#define GRAPH_SIZE 10000
#define WEIGHT_MAX UINT32_MAX

enum state_t { WHITE, GRAY, BLACK };

static state_t state[GRAPH_SIZE];
static priority_queue<pair<uint32_t, uint32_t>, vector<pair<uint32_t, uint32_t>>, greater<pair<uint32_t, uint32_t>>> min_queue;
static vector<pair<uint32_t, uint32_t>> graph[GRAPH_SIZE];
static uint32_t dist[GRAPH_SIZE];

void single_source_shortest_path(size_t num)
{
  for (uint32_t i = 0; i < num; i++) {
    // dist[i] = WEIGHT_MAX;
    state[i] = WHITE;
  }

  state[0] = GRAY;
  min_queue.push(make_pair(0, 0));

  while (!min_queue.empty()) {
    pair<uint32_t, uint32_t> vertex = min_queue.top();
    min_queue.pop();
    if (state[vertex.first] != BLACK) {
      state[vertex.first] = BLACK;
      dist[vertex.first] = vertex.first;

      for (uint32_t i = 0; i < graph[vertex.first].size(); i++) {
        pair<uint32_t, uint32_t> to = graph[vertex.first][i];
        if (state[vertex.first] != BLACK) {
          min_queue.push(make_pair(vertex.first, vertex.second + to.second));
          state[vertex.first] = GRAY;
        }
      }
    }
  }
}

#include <iostream>

int32_t main()
{
  uint32_t num;
  cin >> num;

  for (uint32_t i = 0; i < num; i++) {
    uint32_t index, len;
    cin >> index >> len;
    for (uint32_t j = 0; j < len; j++) {
      uint32_t connect, weight;
      graph[index].push_back(make_pair(connect, weight));
    }
  }

  single_source_shortest_path(num);

  for (uint32_t i = 0; i < num; i++) {
    cout << i << " " << dist[i] << endl;
  }

  return 0;
}