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<iostream>
#include<stdio.h>
#define MAX 200000
#define NIL -1
#define B -2
#define W -1
#define G 0
#include<queue>
#include<vector>
#include<algorithm>
using namespace std;

int d[MAX];
int p[MAX];
int color[MAX];
int n;
int u;
int k;

int c;
int vv;

queue <int> Q;
struct tre {
	int v;
	int weight;
};

tre b;

vector <tre> M[MAX];
void DIJKSTRA() {
	for (int i = 0; i < n; i++) {
		d[i] = 9000000;
		p[i] = NIL;
		color[i] = W;
	}
	d[0] = 0;
	color[0] = B;
	int s = 0;
	Q.pop();
	
	while (!Q.empty()) {
		
		for (int i = 0; i < M[s].size(); i++) {
			if (color[M[s][i].v] != B) {

				if (d[M[s][i].v] > d[s] + M[s][i].weight) {

					d[M[s][i].v] = d[s] + M[s][i].weight;
					p[M[s][i].v] = s;
					color[M[s][i].v] = G;
					

					  
				}
			}
		}
		int a = 0;
		int mini = MAX;
		for (int j = 0; j < n; j++) {

			if (color[j] == G) {
				if(mini>d[j]){
					a = j;
				}
				mini = min(mini, d[j]);
			}

		}
		s = a;
		color[a] = B;
		Q.pop();
	
	}

}
int main(){

	cin >> n;
	
	
	for (int i = 0; i < n; i++) {
		cin >> u; cin >> k;
		for (int j = 0; j < k; j++) {
			cin >> vv >> c;
			b.v = vv;
			b.weight = c;
			M[u].push_back(b);
			
		}Q.push(i);
	}

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

C++: #include <iostream>
#include <algorithm>
#include <queue>
using namespace std;
#define MAX 10000
#define INFTY 1<<22
#define WHITE 0
#define GRAY 1
#define BLACK 2

// 重み付き有向グラフの隣接リスト
vector<pair<int,int>> adj[MAX];

void dijkstra(int n){
    priority_queue<pair<int,int>>pq;
    // weight[v]に始点sからvまでの最短コストを保存する
    int weight[MAX];
    // 訪問状態を記録
    int color[MAX];
    // 1.初期化
    for(int i = 0;i < n;++i){
        weight[i] = INFTY;
        color[i] = WHITE;
    }
    
    // 始点
    weight[0] = 0;
    color[0] = GRAY;
    pq.push(make_pair(0,0));
    
    while(pq.empty()){
        pair<int,int> first = pq.top();
        pq.pop();
        // 頂点
        int u = first.second;
        color[u] = BLACK;
        
        // 最短値を取りだして、最短でなければ飛ばす
        if(weight[u] < first.first * -1) continue;
        
        for(int i = 0;i < adj[u].size();++i){
            int v = adj[u][i].first;
            if(color[v] == BLACK)continue;
            if(weight[v] > weight[u] + adj[u][i].second){
                weight[v] = weight[u] + adj[u][i].second;
                // priority_queueはデフォルトで大きい値を優先するので-にする
                pq.push(make_pair(weight[v] * -1, v));
                color[v] = GRAY;
            }
        }
    }
    
    // 出力
    for(int i = 0;i < n;++i){
        cout << i << " " << ( weight[i] == INFTY ? -1 : weight[i] ) << endl;
    }
}

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

C++: #include<bits/stdc++.h>
#define INF 1e9
using namespace std;
typedef pair<uint32_t,uint32_t> P;

int bitSearchReverse(uint32_t x){
    if(x==0)return -1;
    return 31-__builtin_clz(x);
}
struct RadixHeap{
    vector<P>v[33];
    uint32_t last,sz;
    RadixHeap(){
        last=sz=0;
    }
    void push(P p){
        assert(last<=p.first);
        sz++;
        v[bitSearchReverse(p.first^last)+1].push_back({p.first,p.second});
    }
    P top(){
        return pop(false);
    }
    P pop(bool f=true){
        assert(sz);
        if(!v[0].size()){
            int i=1;
            while(!v[i].size())++i;
            last=min_element(v[i].begin(),v[i].end())->first;
            for(P p:v[i])v[bitSearchReverse(p.first^last)+1].push_back(p);
            v[i].clear();
        }
        P r=v[0].back();
        if(f){
            sz--;
            v[0].pop_back();
        }
        return r;
    }
    int size(){
        return sz;
    }
    bool empty(){
        return sz==0;
    }
    void clear(){
        last=sz=0;
        for(auto a:v)a.clear();
    }
};
struct Graph{
    Graph(int n):E(n),d(n){}
    vector<vector<P>>E;
    vector<uint32_t>d;
    void add_edge(int a,int b,uint32_t c){
        E[a].emplace_back(b,c);
    }
    void dijkstra(int s){
        RadixHeap H;
        fill(d.begin(),d.end(),INF);
        H.push({d[s]=0,s});
        while(H.size()){
            P e=H.top();H.pop();
            if(e.first>d[e.second])continue;
            for(P& a:E[e.second]){
                uint32_t x=a.first,y=a.second+e.first;
                if(y<d[x])d[x]=y,H.push({y,x});
            }
        }
    }
};

main(){
    int N;
    cin>>N;
    Graph G(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;
            G.add_edge(u,v,c);
        }
    }
    G.dijkstra(0);
    for(int i=0;i<N;++i)
        cout<<i<<' '<<G.d[i]<<endl;
}

/***************************************

referred
https://github.com/yosupo06/Algorithm/blob/master/datastructure/buf/RadixHeap.h

****************************************/