Connect cities

from collections import Counter

# O(n^2) solution, testing to see if it works

n, m = map(int, input().split())

k = n-m-1

roads = []

for i in range(m):
    a,b = map(int, input().split())
    roads.append(a)
    roads.append(b)

li = []

for i in range(1, n+1):
    counter = 0
    for j in range(len(roads)):
        if i == roads[j]:
            counter+=1

    li.append([i, counter])

#print(li)

results = []

for i in range(n):
    if i == 0:
        
        road = []
        road.append(1)
        if li[0][1] == 0:
            for j in range(i+1, n):
                if li[j][1] < 2:
                    li[0][1] = 1
                    li[j][1]+=1
                    road.append(j+1)
                    break
            results.append(road)

    elif i!=n-1:
        road = []
        if li[i][1] < 2:
            li[i][1]+=1
            road.append(i+1)
            for j in range(i+1, n):
                if li[j][1] < 2:
                    li[j][1]+=1
                    road.append(j+1)
                    break
            results.append(road)
        

print(k) 
for i in range(len(results)):
    print(str(results[i][0]) + " " + str(results[i][1]))

Test 1

Verdict: WRONG ANSWER

Test 2

Verdict: RUNTIME ERROR

Traceback (most recent call last):
  File "/box/input/code.py", line 59, in <module>
    print(str(results[i][0]) + " " + str(results[i][1]))
IndexError: list index out of range

Test 3

Verdict: WRONG ANSWER

Test 4

Verdict: WRONG ANSWER

Test 5

Verdict: WRONG ANSWER

Test 6

Verdict: TIME LIMIT EXCEEDED

Test 7

Verdict: TIME LIMIT EXCEEDED

Test 8

Verdict: TIME LIMIT EXCEEDED

Test 9

Verdict: TIME LIMIT EXCEEDED

Test 10

Verdict: TIME LIMIT EXCEEDED

Test 11

Verdict: ACCEPTED

Test 12

Verdict: WRONG ANSWER