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: def dijkstra(matrix, s):
    INF = 200000
    n = len(matrix)
    state, d, p = [False] * n, [INF] * n, [-1] * n
    d[s] = 0
    while True:
        mincost = INF
        for i in range(n):
            if not state[i] and d[i] < mincost:
                mincost = d[i]
                u = i
        if mincost == INF:
            break
        state[u] = True
        for v in range(n):
            if not state[v] and matrix[u][v] != -1:
                if d[u] + matrix[u][v] < d[v]:
                    d[v] = d[u] + matrix[u][v]
                    p[v] = u
    return d


def main():
    n = int(input())
    m = [[-1] * n for _ in range(n)]
    for _ in range(n):
        u, k, *vc = map(int, input().split())
        for v, c in zip(vc[::2], vc[1::2]):
            m[u][v] = c
    dist = dijkstra(m, 0)
    for i, d in enumerate(dist):
        print(i, d)


if __name__ == '__main__':
    main()

Python: n = int(input())
adjc_list = [[] for _ in range(n)]
INF = 99999999999999999999
V = [ele for ele in range(n)]
S = []
d = [INF] * n
p = [ele for ele in range(n)]

for i in range(n):
    tmp = [int(ele) for ele in input().split()]
    for j in range(1, tmp[1]*2, 2):
        v = tmp[j+1]
        w = tmp[j+2]
        adjc_list[i].append([w, v])
    adjc_list[i].sort()


def my_dijkstra_solver():
    root = 0  # given
    # 1. 初期化
    d = [INF] * n
    d[root] = 0
    VS = V

    # 2. 以下の処理を、S = Vになるまで繰り返す
    while VS:
        # 2.1. V-S の中から、 d[u] が最小である頂点 u を選択する。
        u = VS[0]
        for i in VS:
            if d[i] < d[u]:
                u = i

        S.append(u)  # 2.2. u を S に追加する.
        # 2.3. u に隣接し, かつ V-S に属するすべての頂点 v に対する以下の値を更新する
        VS.remove(u)
        for w, v in adjc_list[u]:
            if v in VS:
                if d[v] > d[u] + w:
                    d[v] = d[u] + w
                    p[v] = u  # 親をどこかで使うのはわかるが一旦忘れよう

    for i, cost in enumerate(d):
        print(i, cost)


if __name__ == "__main__":
    my_dijkstra_solver()

Python: from heapq import heappop, heappush
from collections import defaultdict


class Dijkstra:
    """Graph input:
    {
    node:{node:cost,node:cost...},
    node:{node:cost,node:cost...},
    ...
    }
    """

    def __init__(self, graph: dict, N: int):
        self.graph = graph
        self.costs = [float("inf")] * N

    def calculate(self, start):
        queue = list()

        # step1: push the start point into the priority queue
        self.costs[start] = 0
        heappush(queue, (0, start))  # (cost,node)

        while queue:
            # step2: get the minimum cost node from unfixed node and fix the cost
            cost_from_start, min_node = heappop(queue)

            # step3: update the direct connected nodes
            for link, cost in self.graph[min_node].items():
                if cost_from_start + cost < self.costs[link]:
                    self.costs[link] = cost_from_start + cost
                    heappush(queue, (self.costs[link], link))

        return self.costs


n = int(input())
graph = defaultdict(dict)

for _ in range(n):
    data = [int(i) for i in input().split()]
    u = data[0]
    count = data[1]
    for j in range(1, count + 1):
        v = data[2 * j]
        w = data[2 * j + 1]
        graph[u][v] = w

dijkstra = Dijkstra(graph, n)
costs = dijkstra.calculate(0)

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

Python: INF = 1.0e+6
WHITE = 0
BLACK = 1

def dijkstras(M):
    n = len(M)
    d = [INF] * n
    color = [WHITE] * n

    d[0] = 0

    while True:
        minv = INF
        u = -1
        for i in range(n):
            if d[i] < minv and color[i] != BLACK:
                u = i
                minv = d[i]

        if u == -1:
            break

        color[u] = BLACK

        for v in range(n):
            if color[v] != BLACK and M[u][v] != INF:
                if d[v] > d[u] + M[u][v]:
                    d[v] = d[u] + M[u][v]

    for i in range(n):
        print("{} {}".format(i, -1 if d[i] == INF else d[i]))


if __name__ == "__main__":
    n = int(input())
    M = [[INF] * n for i in range(n)]

    for i in range(n):
        arr = list(map(int, input().split()))
        for j in range(arr[1]):
            M[arr[0]][arr[2+j*2]] = arr[3+j*2]

    dijkstras(M)

Python: from heapq import heappush, heappop
import math
def dijkstra(N, G, s):
    dist = [math.inf] * N
    que = [(0,s)]
    dist[s] = 0
    ans = [[] for i in range(N)]
    while que:
        c,v = heappop(que)
        if dist[v] < c:
            
            continue
        for t, cost in G[v]:
            if dist[v] + cost < dist[t]:
                dist[t] = dist[v] + cost
                heappush(que,(dist[t],t))
    return dist
n = int(input())

g = [[]for i in range(n)]
for i in range(n):
    nums=list(map(int,input().split()))
    node=nums[0]
    for j in range(nums[1]):
        t=nums[j*2+2]
        c=nums[j*2+3]
        g[node].append([t,c])
   
ans = dijkstra(n,g,0)
for i in range(n):
    print(f'{i} {ans[i]}')