Go: package main

import (
	"fmt"
	"os"
	"bufio"
	"strings"
	"strconv"
)
var MAX = 1000000
type Vertex struct{
	Value int
	Routes map[int]int
	Done bool
}
func NewVertex(value int) *Vertex{
	routes := make(map[int]int)
	// for i, _ := range routes {
	// 	routes[i] = MAX
	// }
	return &Vertex{ value, routes, false }
}

func (v *Vertex) SetRoute(key, weight int) {
	v.Routes[key] = weight
}

type Path struct {
	Key int
	Weight int
}

var count = 0
func ShortestRoutes(list []*Vertex) []int {
	// create result table
	result  := make([]int, len(list))
	// fmt.Println(result)
	for i, _ := range result {
		result[i] = MAX
	}

	queue := make([]Path, 0)
	queue = append(queue, Path{0, 0})
	result[0] = 0

	for len(queue) != 0 {
		count++
		path := queue[0]
		queue = queue[1:]
		for key, weight := range list[path.Key].Routes {
			// fmt.Println(list[path.Key].Routes)
			// set to result
			// fmt.Printf("Path(%d, %d) ? result[%d] => %d, wieght: %d\n", path.Key, path.Weight, key, result[key], weight)
			if path.Weight + weight < result[key] {
				result[key] = path.Weight + weight 
				queue = append(queue, Path{key, result[key]})
			// } else if !list[key].Done {
			// 	queue = append(queue, Path{key, result[key]})
			}
		}
		list[path.Key].Done = true
	}
	return result
}
func main() {
	var n int
	fmt.Scanf("%d", &n)
	list := make([]*Vertex, n)
	scanner := bufio.NewScanner(os.Stdin)
	for i := 0; i < n; i++ {
		scanner.Scan()
		elements := strings.Split(scanner.Text(), " ")
		value, _ := strconv.Atoi(elements[0])
		list[i] = NewVertex(value)
		for j := 2; j < len(elements); j += 2 {
			key, _    := strconv.Atoi(elements[j])
			weight, _ := strconv.Atoi(elements[j + 1])
			list[i].SetRoute(key, weight)
		}
	}

	result := ShortestRoutes(list)
	for i := 0; i < len(result); i++ {
		fmt.Printf("%d %d\n", i, result[i]);
	}
	// fmt.Printf("count: %d\n", count)
}

Python: import heapq

n = int(input())
maxim = 100010
adj = [[] for _ in range(n)]

for _ in range(n):
    u, k, *v = map(int, input().split())
    if k == 0:
        adj[u].append((0,0))
    for i in range(k):
        adj[u].append((v[i*2+1], v[i*2]))

def dijkstra():
    global adj
    PQ = []
    heapq.heapify(PQ)
    color = ['W']*n
    d = [maxim]*n
    d[0] = 0
    heapq.heappush(PQ, (0, 0))
    color[0] = 'G'

    while PQ:
        f = heapq.heappop(PQ)
        u = f[1]
        color[u] = 'B'
        if d[u] < f[0]*-1:
            continue
        for j in range(len(adj[u])):
            v = adj[u][j][1]
            if color[v] == 'B':
                continue
            if d[v] > d[u]+adj[u][j][0]:
                d[v] = d[u]+adj[u][j][0]
                heapq.heappush(PQ, (d[v], v))
                color[v] = 'G'
    return d

D = dijkstra()
for i, x in enumerate(D):
    print(i, x)

Python: import heapq as hp

INF = 1000000

def diikstraMethd(G, s):
    # ?????????
    n = len(G)
    d = [INF for _ in range(n)]
    d[s] = 0
    PQ = [(d[s], s)]

    while PQ:
        u = hp.heappop(PQ)[1]
        for v, c in G[u]:
            alt = d[u] + c
            if d[v] > alt:
                d[v] = alt
                hp.heappush(PQ, (alt, v))

    return d


if __name__ == '__main__':
    n = int(input())
    G = [ [] for _ in range(n)]
    for _ in range(n):
        tmp = list(map(int, input().split()))
        u = tmp.pop(0)
        k = tmp.pop(0)
        for i in range(k):
            v = tmp.pop(0)
            c = tmp.pop(0)
            G[u].append((v, c))

    d = diikstraMethd(G, 0)

    for i in range(n):
        print('{0} {1}'.format(i, d[i]))

Python: import heapq
WHITE = 0
GRAY = 1
BLACK = 2
INFTY = 10**13
def dijkstra(s):
    color = [WHITE for i in range(N)]
    d = [INFTY for i in range(N)]
    d[s] = 0
    pq = []
    heapq.heappush(pq, (0, s))

    while len(pq) != 0:
        u = heapq.heappop(pq)[1]
        color[u] = BLACK

        for v, c in VC[u]:
            if color[v] != BLACK:
                if d[u] + c < d[v]:
                    d[v] = d[u] + c
                    color[v] = GRAY
                    heapq.heappush(pq, (d[v], v))

    return d

N = int(input())
VC = [[] for i in range(N)]
for i in range(N):
    ukvc = list(map(int, input().split()))
    u, k, vc = ukvc[0], ukvc[1], ukvc[2:]
    for v, c in zip(vc[0::2], vc[1::2]):
        VC[u].append([v, c])

d = dijkstra(0)

for i in range(N):
    print(i, d[i])

Python: V=int(input())
 
G=[[] for i in range(V)]
d=[1001001001 for i in range(V)]
used=[False for i in range(V)]
 
import heapq
 
def dijkstra(s):
    q=[]
    d[s]=0
    heapq.heappush(q,(0, s))
     
    while(len(q)):
         
        p=heapq.heappop(q)
        v=p[1]
        used[v]=True
        if d[v]<p[0]:
            continue
        for e in G[v]:
            if (not used[e[0]]) and d[e[0]]>d[v]+e[1]:
                d[e[0]]=d[v]+e[1]
                 
                heapq.heappush(q, (d[e[0]], e[0]))
 
import sys
for l in sys.stdin:
    l=list(map(int,l.split()))
    u=l[0]
    k=l[1]
    G[u]=zip(*[iter(l[2:])]*2)
     
dijkstra(0)
for i, c in enumerate(d):
    print(i, d[i])

Python: #single source shotest path 2

from heapq import heappush, heappop

n = int(input())
a = [None]*n
for i in range(n):
    u, k, *V = map(int, input().split())
    a[i] = [(p, q) for p, q in zip(V[::2], V[1::2])]

dist = [10**6]*n
dist[0] = 0
que = []
heappush(que,(0,0))

while que:
    cost, v = heappop(que)
    for w, c in a[v]:
        if cost + c < dist[w]:
            dist[w] = r = cost + c
            heappush(que, (r,w))
            
for i in range(n):
    print(f"{i} {dist[i]}")

Python: from heapq import *
h = []




INF = 1e9

n = int(input())
a = []
for i in range(n):
    b = list(map(int, input().split()))
    index = b[0]
    k = b[1]
    tmp = []
    for j in range(k):
        tmp.append(b[2*j+2:2*j+4])
    a.append(tmp)


def dijkstra(s):
    d = [INF] * n
    d[s] = 0

    heappush(h, (d[s], s))

    while h:
        pop = heappop(h)
        if pop[0] == INF:
            continue
        for node in a[pop[1]]:
            if d[pop[1]] + node[1] < d[node[0]]:
                d[node[0]] = d[pop[1]] + node[1]
                heappush(h, (d[pop[1]] + node[1], node[0]))

    return d
d = dijkstra(0)
for i in range(n):
    print(i, d[i])