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: #!/usr/bin/env python
# -*- coding: utf-8 -*-

"""
input:
5
0 3 2 3 3 1 1 2
1 2 0 2 3 4
2 3 0 3 3 1 4 1
3 4 2 1 0 1 1 4 4 3
4 2 2 1 3 3

output:
0 0
1 2
2 2
3 1
4 3
"""

import sys

WHITE, GRAY, BLACK = 0, 1, 2
D_MAX = int(1e7 + 1)


def generate_adj_matrix(v_info):
    for each in v_info:
        v_index, v_adj_length, *v_adj_list = map(int, each)
        # assert len(v_adj_list) == v_adj_length * 2
        for pair in zip(v_adj_list[::2], v_adj_list[1::2]):
            init_adj_matrix[v_index][pair[0]] = pair[1]

    return init_adj_matrix


def dijkstra_path():
    path_list[0] = 0

    while True:
        min_cost = D_MAX
        current_vertex_index = None
        for i in range(vertices_num):
            if color[i] is not BLACK and path_list[i] < min_cost:
                min_cost = path_list[i]
                current_vertex_index = i

        if min_cost == D_MAX:
            break

        color[current_vertex_index] = BLACK
        current_vertex_index_info = adj_table[current_vertex_index]
        for adj_vertex_index in current_vertex_index_info.keys():
            current_adj_weight = current_vertex_index_info.get(adj_vertex_index)
            if color[adj_vertex_index] is not BLACK:
                alt_path = path_list[current_vertex_index] + current_adj_weight
                if alt_path < path_list[adj_vertex_index]:
                    # update path_list
                    path_list[adj_vertex_index] = alt_path
                    parent_list[adj_vertex_index] = current_vertex_index
                    color[adj_vertex_index] = GRAY

    return path_list


if __name__ == '__main__':
    _input = sys.stdin.readlines()
    vertices_num = int(_input[0])
    init_vertices_table = (map(lambda x: x.split(), _input[1:]))
    # assert len(init_vertices_table) == vertices_num

    parent_list, path_list = [-1] * vertices_num, [D_MAX] * vertices_num
    color = [WHITE] * vertices_num
    init_adj_matrix = tuple(dict() for _ in range(vertices_num))
    adj_table = generate_adj_matrix(init_vertices_table)
    ans = dijkstra_path()
    for j in range(vertices_num):
        print(j, ans[j])

Python: trial = int(input())
graph = []
for t in range(trial):
    graph.append([int(n) for n in input().split(" ")])
root = []
ans = []
stack = [[0,0]]
cnt = 0
while len(stack) > 0:
    index,out = stack[0][0],stack[0][1]
    for get in range(graph[index][1]):
        if graph[index][get*2 + 2] not in root:
            stack.append([graph[index][get*2 +2],graph[index][get*2 +3] + out ])
    if stack[0][0] not in root:
        root.append(stack[0][0])
        ans.append([stack[0][0],stack[0][1]])
    stack.pop(0)
    stack = sorted(stack,key=lambda x:x[1])
ans = sorted(ans,key=lambda x:x[0])
for a in ans:
    print(a)

Python: INF = float('inf')


def dijkstra(source):
    distance[source] = 0
    parent[source] = -1

    while True:
        mincost = INF
        for i in range(n):
            if color[i] != 'black' and distance[i] < mincost:
                mincost = distance[i]
                u = i

        if mincost == INF:
            break

        color[u] = 'black'

        for v in range(n):
            if color[v] != 'black' and adjMat[u][v] != INF:
                if distance[u] + adjMat[u][v] < distance[v]:
                    distance[v] = distance[u] + adjMat[u][v]
                    parent[v] = u
                    color[v] = 'gray'


n = int(input())
color = ['white'] * n
parent = [-1] * n
distance = [INF] * n

adjMat = [[INF] * n for _ in range(n)]
for i in range(n):
    inputList = list(map(int, input().split()))
    adjRow = inputList[0::2][1:]
    weightRow = inputList[1::2][1:]
    for v, weight in zip(adjRow, weightRow):
        adjMat[i][v] = weight

dijkstra(0)

for index, distance in enumerate(distance):
    print('{} {}').format(index, distance)

Python: N = int(input())
L = [[float('inf')]*N for i in range(N)]


def dijkstra(s):
    S = set()
    d = [float('inf')] * N
    d[s] = 0
    p = [None]*N

    while len(S) != N:
        minv = float('inf')
        u = None
        for i in range(N):
            if d[i] < minv and i not in S:
                u = i
                minv = d[i]
        S.add(u)
        for u in S:
            for v in range(N):
                if d[u] + L[u][v] < d[v] and v not in S:
                    d[v] = d[u] + L[u][v]
                    p[v] = u

    for i in range(N):
        print('{} {}'.format(i, d[i]))
        # print(S)


for i in range(N):
    Q = list(map(int, input().split()))
    for j in range(Q[1]):
        L[Q[0]][Q[2+2*j]] = Q[3+2*j]
dijkstra(0)

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


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

    L = []
    for _ in xrange(num):
        it = iter(int(s) for s in stdin.readline().split()[1:])
        L.append([(next(it), next(it)) for _ in xrange(next(it))])

    weight = [maxint] * num
    weight[0] = 0
    V = set(xrange(1, num))
    index = 0

    while V:
        for v, cost in L[index]:
            if v not in V:
                continue
            weight[v] = min(weight[v], cost + weight[index])

        index = min(V, key=lambda i: weight[i])
        V.remove(index)

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


main()