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: import heapq


INFINITY = 10 ** 10
WHITE = 0
GRAY = 1
BLACK = 2


n = int(input())
dict_adjacency = {}

for _ in range(n):
    u, k, *list_num = map(int, input().split())

    list_temp = []

    dict_adjacency[str(u)] = {}

    for i in range(0, k * 2, 2):
        dict_adjacency[str(u)][str(list_num[i])] = list_num[i + 1]


d = [INFINITY] * n

def dijkstra(top_start):
    color = [WHITE] * n

    d[top_start] = 0
    h = []

    heapq.heappush(h, (d[top_start], top_start))

    while len(h) >= 1:
        cost_now, top_now = heapq.heappop(h)

        color[top_now] = BLACK

        if d[top_now] < cost_now:
            continue

        for top_next in dict_adjacency[str(top_now)].keys():
            top_next = int(top_next)
            if color[top_next] == BLACK:
                continue


            cost_next = d[top_now] + dict_adjacency[str(top_now)][str(top_next)]
            if cost_next < d[top_next]:
                d[top_next] = cost_next
                color[top_next] = GRAY
                heapq.heappush(h, (d[top_next], top_next))


dijkstra(top_start = 0)

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

Python: #!/usr/bin/env python
from __future__ import division, print_function
from sys import stdin, maxsize


def main():
    num = int(stdin.readline())

    edges = []
    for _ in range(num):
        ns = [int(s) for s in stdin.readline().split()]
        for i in range(ns[1]):
            edges.append((ns[0], ns[2*i+2], ns[2*i+3]))

    dis = [maxsize] * num
    dis[0] = 0

    while 1:
        update = False
        for from_, to, cost in edges:
            if dis[from_] < maxsize and dis[to] > cost + dis[from_]:
                dis[to] = cost + dis[from_]
                update = True

        if not update:
            break

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


main()

Python: from sys import maxsize
from heapq import heappop, heappush


class Node:
    WHITE = 0
    GRAY = 1
    BLACK = 2

    def __init__(self):
        self.adjs = []
        self.color = Node.WHITE
        self.dist = maxsize

    def __lt__(self, other):
        return self.dist < other.dist

    def __repr__(self):
        return "Node({},{},{})".format(self.adjs, self.color, self.dist)


def read_adj():
    n = int(input())
    nodes = [Node() for _ in range(n)]

    for i in range(n):
        u, _, *rest = [int(x) for x in input().split()]
        for i in range(0, len(rest) - 1, 2):
            nodes[u].adjs.append((rest[i], rest[i+1]))

    return nodes


def shortest_path(nodes):
    h = []

    nodes[0].dist = 0
    nodes[0].color = Node.GRAY
    heappush(h, (0, 0))

    while len(h) > 0:
        min_node, min_dist = heappop(h)
        if nodes[min_node].dist < min_dist:
            continue

        nodes[min_node].color = Node.BLACK

        for adj, c in nodes[min_node].adjs:
            if nodes[min_node].dist + c < nodes[adj].dist:
                nodes[adj].dist = nodes[min_node].dist + c
                nodes[adj].color = Node.GRAY
                heappush(h, (adj, nodes[adj].dist))


def print_dist(nodes):
    for u, n in enumerate(nodes):
        print(u, n.dist)


def main():
    nodes = read_adj()
    shortest_path(nodes)
    print_dist(nodes)


if __name__ == '__main__':
    main()

Python: import sys
input = sys.stdin.readline
from operator import itemgetter
sys.setrecursionlimit(10000000)

def dijkstra(n, start, nbl):
    """n: 頂点数, start: 始点, nbl: 隣接リスト"""
    import heapq
    WHITE = 1<<5
    GRAY = 1<<10
    BLACK = 1<<15
    INF = 1<<20
    color = [WHITE] * n
    distance = [INF] * n
    parent = [-1] * n
    q = []

    distance[start] = 0
    heapq.heappush(q, (0, start))
    while len(q) != 0:
        du, u = heapq.heappop(q)
        # print("u: {}, du: {}".format(u, du))
        color[u] = BLACK
        if distance[u] < du:
            continue
        for next, cost in nbl[u]:
            if color[next] != BLACK and distance[u] + cost < distance[next]:
                distance[next] = distance[u] + cost
                color[next] = GRAY
                heapq.heappush(q, (distance[next], next))
    return distance


def main():
    n = int(input().strip())
    nb = [[] for _ in range(n)]
    for i in range(n):
        l = list(map(int, input().strip().split()))
        for j in range(l[1]):
            nb[i].append((l[2 + 2 * j], l[3 + 2 * j]))
    d = dijkstra(n, 0, nb)
    for i, v in enumerate(d):
        print(i, v)


if __name__ == '__main__':
    main()

Python: from sys import stdin
import heapq
INF = 1<<21
n = int(stdin.readline())
adj = [[]] * n
for u in range(0, n):
    U = list(map(int, stdin.readline().split()[2:]))
    adj[u] = (e for e in zip(U[0::2], U[1::2]))
def dijkstra():
    d = [0] + [INF] * (n - 1)
    hq = [(0, 0)]
    while hq:
        u = heapq.heappop(hq)[1]
        for v, c in adj[u]:
            alt = d[u] + c
            if d[v] > alt:
                d[v] = alt
                heapq.heappush(hq, (alt, v))
    for i, c in enumerate(d):
        print(i, c)
dijkstra()