Go: package main

import (
	"bufio"
	"container/heap"
	"fmt"
	"os"
)

type Item struct {
	value    int // The value of the item; arbitrary.
	priority int // The priority of the item in the queue.
	// The index is needed by update and is maintained by the heap.Interface methods.
	index int // The index of the item in the heap.
}
type PriorityQueue []*Item

func (pq PriorityQueue) Len() int { return len(pq) }
func (pq PriorityQueue) Less(i, j int) bool {
	return pq[i].priority < pq[j].priority
}
func (pq PriorityQueue) Swap(i, j int) {
	pq[i], pq[j] = pq[j], pq[i]
	pq[i].index = i
	pq[j].index = j
}
func (pq *PriorityQueue) Push(x interface{}) {
	n := len(*pq)
	item := x.(*Item)
	item.index = n
	*pq = append(*pq, item)
}
func (pq *PriorityQueue) Pop() interface{} {
	old := *pq
	n := len(old)
	item := old[n-1]
	item.index = -1 // for safety
	*pq = old[0 : n-1]
	return item
}

type Q struct {
	pq *PriorityQueue
	ds map[int]int // It has always same value as pq. For random access.
}

func newQ() *Q {
	pq := new(PriorityQueue)
	heap.Init(pq)
	return &Q{
		pq: pq,
		ds: make(map[int]int),
	}
}
func (q *Q) pop() (u, d int) {
	item := heap.Pop(q.pq).(*Item)
	delete(q.ds, item.value)
	return item.value, item.priority
}
func (q *Q) get(u int) (int, bool) { // returns d
	d, ok := q.ds[u]
	return d, ok
}
func (q *Q) set(u, d int) {
	q.ds[u] = d
	for _, item := range *q.pq {
		if item.value != u {
			continue
		}

		item.priority = d
		heap.Fix(q.pq, item.index)
		return
	}
	heap.Push(q.pq, &Item{
		priority: d,
		value:    u,
	})
}
func (q *Q) len() int {
	return len(q.ds)
}

func main() {
	r := bufio.NewReader(os.Stdin)

	var n int
	fmt.Fscan(r, &n)
	cs := make([]map[int]int, n) // []v_i -> c_i
	for h := 0; h < n; h++ {
		var u, k int
		fmt.Fscan(r, &u, &k)
		m := make(map[int]int)
		for i := 0; i < k; i++ {
			var v, c int
			fmt.Fscan(r, &v, &c)
			m[v] = c
		}

		cs[u] = m
	}

	q := newQ()
	q.set(0, 0)
	visited := make(map[int]struct{})
	out := make([]int, n)

	for q.len() > 0 {
		u, d := q.pop()
		for uu, c := range cs[u] {
			// Consider the connection between u and uu.
			if _, ok := visited[uu]; ok {
				continue
			}
			dd := d + c
			if d, ok := q.get(uu); !ok || d > dd {
				q.set(uu, dd)
			}
		}

		out[u] = d
		visited[u] = struct{}{}
	}

	for u, d := range out {
		fmt.Println(u, d)
	}
}

Python: n = int(input())
edgeList = []
for i in range(n):
    a = list(map(int, input().split()))
    for j in range(a[1]):
        edgeList.append([a[2*j+3], i, a[2*j+2]])
 
 
rootList = [-1 for i in range(n)]
parent = [0 for i in range(n)]
lenList = [float("inf") for i in range(n)]
lenList[0] = 0
def getRoot(x):
    r = rootList[x]
    if r < 0:
        rootList[x] = x
    elif r != x:
        rootList[x] = getRoot(r)
    return rootList[x]
 
flag = True
while flag:
    flag = False
    edgeList.sort(key=lambda x: (x[0] + lenList[x[1]]))
    for e in edgeList:    # weight:e[0], e[1]->e[2]
        if e[2] == 0:
            continue
        x = getRoot(e[1])
        y = getRoot(e[2])
        if x == 0 != y:
            parent[e[2]] = e[1]
            lenList[e[2]] = lenList[e[1]] + e[0]
            rootList[y] = 0
            flag = True
            break
 
for i, j in zip(range(n), lenList):
    print(i, j)

Python: n = int(input())
g = []
for i in range(n):
    line = list(map(int, input().split()))
    k = line[1]
    c = [100001] * n
    for j in range(k):
        v = line[2 + 2 * j]
        c[v] = line[3 + 2 * j]
    g.append(c)

distance = [100001] * n
distance[0] = 0
visited = [False] * n
current = 0

while not all(visited):
    min_i = 0
    min_d = 100001
    for i in range(n):
        if not visited[i]:
            if distance[current] + g[current][i] < distance[i]:
                distance[i] = distance[current] + g[current][i]
            if distance[i] < min_d:
                min_i = i
                min_d = distance[i]
    visited[current] = True
    current = min_i

for i in range(n):
    print(i, distance[i])

Python: import sys
import heapq
def dijkstra(G,s):
    n= len(G)
    dist = [float("inf") for i in range(n)]
    vis =  [-1 for i in range(n)]
    l = [(0,s)]
    dist[s]=0
    heapq.heapify(l)
    while len(l):
        d,u = heapq.heappop(l)
        if(vis[u]==1):
            continue
        else:
            vis[u]=1
            for i in G[u]:
                if(d+i[0]<dist[i[1]]):
                   dist[i[1]]= d+i[0]
                   heapq.heappush(l,(d+i[0],i[1]))
    return dist
        
        
def main():
    casos = int(sys.stdin.readline().strip())
    for k in range(casos):
        line = [int(x) for x in sys.stdin.readline().strip().split()]
        u = line[0]
        E = line[1]
        maxi = 0
        for i in range(2,len(line),2):
            maxi= max(maxi,line[i])
        maxi = max(maxi,u)
        G =[[] for i in range(maxi+1)]
        for j in range(2,len(line)-1,2):
           
            G[u].append((line[j+1],line[j]))
            G[line[j]].append((line[j+1],u))
        
        r=dijkstra(G,0)
        print(r)
        print(u,r[u])
        
        

    
main()

Python: import sys

def dijkstra(v_count: int, edges: list, start: int,
             *, adj_matrix: bool = False, unreachable=float("inf")) -> list:
    """ ダイクストラ法
    :param v_count: 頂点数
    :param edges: 辺のリスト(隣接リストor隣接行列)
    :param start: スタートする頂点
    :param adj_matrix: edgesに渡したリストが隣接行列ならTrue
    :param unreachable: 到達不能を表すコスト値
                        隣接行列の辺の有無の判定および返すリストの初期値に使用
    """
    from heapq import heappush, heappop

    vertices = [unreachable] * v_count
    vertices[start] = 0
    q, rem = [(0, start)], v_count - 1

    while q and rem:
        cost, v = heappop(q)
        if vertices[v] < cost:
            continue
        rem -= 1

        dests = (filter(lambda x: x[1] != unreachable, enumerate(edges[v]))
                 if adj_matrix else edges[v])

        print(list(dests))
        for dest, _cost in dests:
            newcost = cost + _cost
            if vertices[dest] > newcost:
                vertices[dest] = newcost
                heappush(q, (newcost, dest))

    return vertices

n = int(input())
edges = [[] for _ in [0]*n]
for a in (tuple(map(int, l.split())) for l in sys.stdin):
    edges[a[0]] = tuple(zip(a[2::2], a[3::2]))
vertices = dijkstra(n, edges, 0)
for i, n in enumerate(vertices):
    print(i, n)

Python: INF = 1e9

n = int(input())
adj_matrix = [[INF for i in range(n)] for j in range(n)]

for i in range(n):
    u, k, *line = list(map(int, input().split()))
    #print(u,k, line)
    for j in range(k):
        adj_matrix[u][line[2*j]] = line[2*j+1]
        adj_matrix[line[2*j]][u] = line[2*j+1]

def dijkstra(x):
    isVisited = [False] * x
    d = [INF] * x #????????????????????????????????¢????????????????°?????????????????´????ex d[i] = 6 ?????????????????????i????????????????????????????????????????????????????°?????????¢???6
    d[0] = 0
    p = [-1] * x # MST??????????????????i???????????¨??????ex p = [-1,0,3,0,2]??¨????????¨?????????0???????????????????????????????????¨??\?¶??????????2?????????3??¨??\?¶????
    
    while True:
        min_cost = INF
        
        for i in range(x):
            if isVisited[i] != True and d[i] < min_cost:
                min_cost = d[i]
                u = i
        
        if min_cost == INF:
            break
        
        isVisited[u] = True
        
        for v in range(x):
            if isVisited[v] != True and adj_matrix[u][v] != -1:
                if d[u] + adj_matrix[u][v] < d[v]:
                    d[v] = d[u] + adj_matrix[u][v]
                    p[v] = u
    return d

for i, di in enumerate(dijkstra(n)):
    print(i, di)