Buggy python submission (verdict: Time Limit Exceeded):
from collections import deque

n, m = list(map(int, input().split()))
root_dict = {}

for _ in range(m):
    tmp = list(map(int, input().split()))
    if tmp[0] != tmp[1]:
        if tmp[0] not in list(root_dict.keys()):
            root_dict[tmp[0]] = [tmp[1]]
        else:
            root_dict[tmp[0]].append(tmp[1])
        if tmp[1] not in list(root_dict.keys()):
            root_dict[tmp[1]] = [tmp[0]]
        else:
            root_dict[tmp[1]].append(tmp[0])

visited = [1] + [-1] * (n-1)

done = deque([1])


while done:
    x = done.popleft()
    for i in root_dict[x]:
        if visited[i-1] < 0:
            visited[i-1] = x
            done.append(i)

if -1 in visited:
    print("No")
else:
    print("Yes")
    for i in range(1, n):
        print(visited[i])

Fixed submission:
from collections import deque

n, m = list(map(int, input().split()))
root_dict = {}

for _ in range(m):
    a, b = list(map(int, input().split()))
    if a not in root_dict:
        root_dict[a] = deque([b])
    else:
        root_dict[a].append(b)
    if b not in root_dict:
        root_dict[b] = deque([a])
    else:
        root_dict[b].append(a)

visited = [1] + [-1] * (n-1)

done = deque([1])

while done:
    x = done.popleft()
    while root_dict[x]:
        i = root_dict[x].popleft()
        if visited[i-1] < 0:
            visited[i-1] = x
            done.append(i)

if -1 in visited:
    print("No")
else:
    print("Yes")
    for i in range(1, n):
        print(visited[i])

Buggy python submission (verdict: Runtime Error):
n, m = list(map(int, input().split()))
root_list = []
for _ in range(m):
    tmp = list(map(int, input().split()))
    if tmp[0] != tmp[1] and tmp not in root_list:
        root_list.append(list(map(int, input().split())))

answer_list = [0] * (n-1)
done_list = [1]
already_list = [1]
while len(root_list) > 0 and 0 in answer_list:
    if len(done_list) == 0:
        break
    tmp_list = []
    copy_root_list = root_list.copy()
    for num in done_list:
        for l in root_list:
            if l[1] == num:
                if answer_list[int(l[0]-2)] == 0:
                    answer_list[int(l[0]-2)] = num
                    tmp_list.append(l[0])
                    already_list.append(l[0])
                    copy_root_list.remove(l)
                else:
                    copy_root_list.remove(l)
            elif  l[0] == num and l[0] != l[1]:
                if answer_list[int(l[1]-2)] == 0:
                    answer_list[int(l[1]-2)] = num
                    tmp_list.append(l[1])
                    already_list.append(l[1])
                    copy_root_list.remove(l)
                else:
                    copy_root_list.remove(l)
    root_list = copy_root_list
    done_list = tmp_list

if 0 not in answer_list:
    print("Yes")
    for i in answer_list:
        print(int(i))
else:
    print("No")
    
    

Fixed submission:
from collections import deque

n, m = list(map(int, input().split()))
root_dict = {}

for _ in range(m):
    a, b = list(map(int, input().split()))
    if a not in root_dict:
        root_dict[a] = deque([b])
    else:
        root_dict[a].append(b)
    if b not in root_dict:
        root_dict[b] = deque([a])
    else:
        root_dict[b].append(a)

visited = [1] + [-1] * (n-1)

done = deque([1])

while done:
    x = done.popleft()
    while root_dict[x]:
        i = root_dict[x].popleft()
        if visited[i-1] < 0:
            visited[i-1] = x
            done.append(i)

if -1 in visited:
    print("No")
else:
    print("Yes")
    for i in range(1, n):
        print(visited[i])

Buggy python submission (verdict: Runtime Error):
n, m = list(map(int, input().split()))
root_list = []
for _ in range(m):
    tmp = list(map(int, input().split()))
    if tmp[0] != tmp[1] and tmp not in root_list:
    root_list.append(list(map(int, input().split())))

answer_list = [0] * (n-1)
done_list = [1]
already_list = [1]
while len(root_list) > 0 and 0 in answer_list:
    if len(done_list) == 0:
        break
    tmp_list = []
    copy_root_list = root_list.copy()
    for num in done_list:
        for l in root_list:
            if l[1] == num:
                if answer_list[int(l[0]-2)] == 0:
                    answer_list[int(l[0]-2)] = num
                    tmp_list.append(l[0])
                    already_list.append(l[0])
                    copy_root_list.remove(l)
                else:
                    copy_root_list.remove(l)
            elif  l[0] == num and l[0] != l[1]:
                if answer_list[int(l[1]-2)] == 0:
                    answer_list[int(l[1]-2)] = num
                    tmp_list.append(l[1])
                    already_list.append(l[1])
                    copy_root_list.remove(l)
                else:
                    copy_root_list.remove(l)
    root_list = copy_root_list
    done_list = tmp_list

if 0 not in answer_list:
    print("Yes")
    for i in answer_list:
        print(int(i))
else:
    print("No")
    
    

Fixed submission:
from collections import deque

n, m = list(map(int, input().split()))
root_dict = {}

for _ in range(m):
    a, b = list(map(int, input().split()))
    if a not in root_dict:
        root_dict[a] = deque([b])
    else:
        root_dict[a].append(b)
    if b not in root_dict:
        root_dict[b] = deque([a])
    else:
        root_dict[b].append(a)

visited = [1] + [-1] * (n-1)

done = deque([1])

while done:
    x = done.popleft()
    while root_dict[x]:
        i = root_dict[x].popleft()
        if visited[i-1] < 0:
            visited[i-1] = x
            done.append(i)

if -1 in visited:
    print("No")
else:
    print("Yes")
    for i in range(1, n):
        print(visited[i])

Buggy python submission (verdict: Runtime Error):
n, m = list(map(int, input().split()))
root_list = []
for _ in range(m):
    tmp = list(map(int, input().split()))
    if tmp[0] != tmp[1] and tmp not in root_list
    root_list.append(list(map(int, input().split())))

answer_list = [0] * (n-1)
done_list = [1]
already_list = [1]
while len(root_list) > 0 and 0 in answer_list:
    if len(done_list) == 0:
        break
    tmp_list = []
    copy_root_list = root_list.copy()
    for num in done_list:
        for l in root_list:
            if l[1] == num:
                if answer_list[int(l[0]-2)] == 0:
                    answer_list[int(l[0]-2)] = num
                    tmp_list.append(l[0])
                    already_list.append(l[0])
                    copy_root_list.remove(l)
                else:
                    copy_root_list.remove(l)
            elif  l[0] == num and l[0] != l[1]:
                if answer_list[int(l[1]-2)] == 0:
                    answer_list[int(l[1]-2)] = num
                    tmp_list.append(l[1])
                    already_list.append(l[1])
                    copy_root_list.remove(l)
                else:
                    copy_root_list.remove(l)
    root_list = copy_root_list
    done_list = tmp_list

if 0 not in answer_list:
    print("Yes")
    for i in answer_list:
        print(int(i))
else:
    print("No")
    

Fixed submission:
from collections import deque

n, m = list(map(int, input().split()))
root_dict = {}

for _ in range(m):
    a, b = list(map(int, input().split()))
    if a not in root_dict:
        root_dict[a] = deque([b])
    else:
        root_dict[a].append(b)
    if b not in root_dict:
        root_dict[b] = deque([a])
    else:
        root_dict[b].append(a)

visited = [1] + [-1] * (n-1)

done = deque([1])

while done:
    x = done.popleft()
    while root_dict[x]:
        i = root_dict[x].popleft()
        if visited[i-1] < 0:
            visited[i-1] = x
            done.append(i)

if -1 in visited:
    print("No")
else:
    print("Yes")
    for i in range(1, n):
        print(visited[i])

Buggy python submission (verdict: Time Limit Exceeded):
n, m = list(map(int, input().split()))
root_list = []
for _ in range(m):
    root_list.append(list(map(int, input().split())))

answer_list = [0] * (n-1)
done_list = [1]
already_list = [1]
while len(root_list) > 0 and 0 in answer_list:
    if len(done_list) == 0:
        break
    tmp_list = []
    copy_root_list = root_list.copy()
    for num in done_list:
        for l in root_list:
            if l[1] == num:
                if answer_list[int(l[0]-2)] == 0:
                    answer_list[int(l[0]-2)] = num
                    tmp_list.append(l[0])
                    already_list.append(l[0])
                    copy_root_list.remove(l)
                else:
                    copy_root_list.remove(l)
            elif  l[0] == num and l[0] != l[1]:
                if answer_list[int(l[1]-2)] == 0:
                    answer_list[int(l[1]-2)] = num
                    tmp_list.append(l[1])
                    already_list.append(l[1])
                    copy_root_list.remove(l)
                else:
                    copy_root_list.remove(l)
    copy_root_list = [i for i in copy_root_list if (i[0] not in already_list or i[1] not in already_list)]
    root_list = copy_root_list
    done_list = tmp_list

if 0 not in answer_list:
    print("Yes")
    for i in answer_list:
        print(int(i))
else:
    print("No")
    

Fixed submission:
from collections import deque

n, m = list(map(int, input().split()))
root_dict = {}

for _ in range(m):
    a, b = list(map(int, input().split()))
    if a not in root_dict:
        root_dict[a] = deque([b])
    else:
        root_dict[a].append(b)
    if b not in root_dict:
        root_dict[b] = deque([a])
    else:
        root_dict[b].append(a)

visited = [1] + [-1] * (n-1)

done = deque([1])

while done:
    x = done.popleft()
    while root_dict[x]:
        i = root_dict[x].popleft()
        if visited[i-1] < 0:
            visited[i-1] = x
            done.append(i)

if -1 in visited:
    print("No")
else:
    print("Yes")
    for i in range(1, n):
        print(visited[i])

Buggy python submission (verdict: Runtime Error):
n, m = list(map(int, input().split()))
root_list = []
for _ in range(m):
    root_list.append(list(map(int, input().split())))

answer_list = [0] * (n-1)
done_list = [1]
already_list = [1]
while len(root_list) > 0 and 0 in answer_list:
    if len(done_list) == 0:
        break
    tmp_list = []
    copy_root_list = root_list.copy()
    for num in done_list:
        for l in root_list:
            if l[1] == num:
                if answer_list[int(l[0]-2)] == 0:
                    answer_list[int(l[0]-2)] = num
                    tmp_list.append(l[0])
                    already_list.append(l[1])
                    copy_root_list.remove(l)
                else:
                    copy_root_list.remove(l)
            elif  l[0] == num and l[0] != l[1]:
                if answer_list[int(l[1]-2)] == 0:
                    answer_list[int(l[1]-2)] = num
                    tmp_list.append(l[1])
                    already_list.append(l[1])
                    copy_root_list.remove(l)
                else:
                    copy_root_list.remove(l)
    root_list = copy_root_list
    done_list = tmp_list

if 0 not in answer_list:
    print("Yes")
    for i in answer_list:
        print(int(i))
else:
    print("No")
    

Fixed submission:
from collections import deque

n, m = list(map(int, input().split()))
root_dict = {}

for _ in range(m):
    a, b = list(map(int, input().split()))
    if a not in root_dict:
        root_dict[a] = deque([b])
    else:
        root_dict[a].append(b)
    if b not in root_dict:
        root_dict[b] = deque([a])
    else:
        root_dict[b].append(a)

visited = [1] + [-1] * (n-1)

done = deque([1])

while done:
    x = done.popleft()
    while root_dict[x]:
        i = root_dict[x].popleft()
        if visited[i-1] < 0:
            visited[i-1] = x
            done.append(i)

if -1 in visited:
    print("No")
else:
    print("Yes")
    for i in range(1, n):
        print(visited[i])

Buggy python submission (verdict: Runtime Error):
n, m = list(map(int, input().split()))
root_list = []
for _ in range(m):
    root_list.append(list(map(int, input().split())))

answer_list = [0] * (n-1)
done_list = [1]
already_list = [1]
before_list = [1]
while len(root_list) > 0 and 0 in answer_list:
    if len(done_list) == 0:
        break
    tmp_list = []
    copy_root_list = root_list.copy()
    for num in done_list:
        for l in root_list:
            if l[1] == num:
                if answer_list[int(l[0]-2)] == 0:
                    answer_list[int(l[0]-2)] = num
                    tmp_list.append(l[0])
                    already_list.append(l[1])
                    copy_root_list.remove(l)
                else:
                    copy_root_list.remove(l)
            elif  l[0] == num:
                if answer_list[int(l[1]-2)] == 0:
                    answer_list[int(l[1]-2)] = num
                    tmp_list.append(l[1])
                    already_list.append(l[1])
                    if l in copy_root_list:
                        copy_root_list.remove(l)
                else:
                    if l in copy_root_list:
                        copy_root_list.remove(l)
    copy_root_list = [i for i in copy_root_list if (i[0] not in already_list or i[1] not in already_list)]
    root_list = copy_root_list
    done_list = tmp_list

if 0 not in answer_list:
    print("Yes")
    for i in answer_list:
        print(int(i))
else:
    print("No")
    

Fixed submission:
from collections import deque

n, m = list(map(int, input().split()))
root_dict = {}

for _ in range(m):
    a, b = list(map(int, input().split()))
    if a not in root_dict:
        root_dict[a] = deque([b])
    else:
        root_dict[a].append(b)
    if b not in root_dict:
        root_dict[b] = deque([a])
    else:
        root_dict[b].append(a)

visited = [1] + [-1] * (n-1)

done = deque([1])

while done:
    x = done.popleft()
    while root_dict[x]:
        i = root_dict[x].popleft()
        if visited[i-1] < 0:
            visited[i-1] = x
            done.append(i)

if -1 in visited:
    print("No")
else:
    print("Yes")
    for i in range(1, n):
        print(visited[i])

Buggy python submission (verdict: Runtime Error):
n, m = list(map(int, input().split()))
root_list = []
for _ in range(m):
    root_list.append(list(map(int, input().split())))

answer_list = [0] * (n-1)
done_list = [1]
already_list = [1]
while len(root_list) > 0 and 0 in answer_list:
    tmp_list = []
    copy_root_list = root_list.copy()
    for num in done_list:
        for l in root_list:
            if l[1] == num:
                if answer_list[int(l[0]-2)] == 0:
                    answer_list[int(l[0]-2)] = num
                    tmp_list.append(l[0])
                    already_list.append(l[1])
                    copy_root_list.remove(l)
                else:
                    copy_root_list.remove(l)
            elif  l[0] == num:
                if answer_list[int(l[1]-2)] == 0:
                    answer_list[int(l[1]-2)] = num
                    tmp_list.append(l[1])
                    already_list.append(l[1])
                    if l in copy_root_list:
                        copy_root_list.remove(l)
                else:
                    if l in copy_root_list:
                        copy_root_list.remove(l)
    copy_root_list = [i for i in copy_root_list if (i[0] not in already_list or i[1] not in already_list)]
    root_list = copy_root_list
    done_list = tmp_list

if 0 not in answer_list:
    print("Yes")
    for i in answer_list:
        print(int(i))
else:
    print("No")
    

Fixed submission:
from collections import deque

n, m = list(map(int, input().split()))
root_dict = {}

for _ in range(m):
    a, b = list(map(int, input().split()))
    if a not in root_dict:
        root_dict[a] = deque([b])
    else:
        root_dict[a].append(b)
    if b not in root_dict:
        root_dict[b] = deque([a])
    else:
        root_dict[b].append(a)

visited = [1] + [-1] * (n-1)

done = deque([1])

while done:
    x = done.popleft()
    while root_dict[x]:
        i = root_dict[x].popleft()
        if visited[i-1] < 0:
            visited[i-1] = x
            done.append(i)

if -1 in visited:
    print("No")
else:
    print("Yes")
    for i in range(1, n):
        print(visited[i])