Buggy python submission (verdict: Runtime Error):
from collections import deque
n, m = map(int, input().split())
dir = [[] for _ in range(m+1)]

for i in range(m):
    ta, tb = map(int, input().split())
    dir[ta].append(tb)
    dir[tb].append(ta)

ans = [0]*(n+1)
flag = [False]*(n+1)
flag[1] = True
que = deque([1])
while que:
    #print('que: ', len(que), que)
    now = que.popleft()
    for to in dir[now]:
        if flag[to]:
            continue
        que.append(to)
        flag[to] = True
        ans[to] = now
"""         print(to)
        ans[to] = now
        flag[to] = 1
        for toto in dir[to]:
            if flag[toto] != 1:
                que.append(toto) """
print('Yes')
for i in range(2,n+1):
    print(ans[i])

Fixed submission:
from collections import deque
n, m = map(int, input().split())
dir = [[] for _ in range(n+1)]

for i in range(m):
    ta, tb = map(int, input().split())
    dir[ta].append(tb)
    dir[tb].append(ta)

ans = [0]*(n+1)
flag = [False]*(n+1)
flag[1] = True
que = deque([1])
while que:
    #print('que: ', len(que), que)
    now = que.popleft()
    for to in dir[now]:
        if flag[to]:
            continue
        que.append(to)
        flag[to] = True
        ans[to] = now

print('Yes')
for i in range(2,n+1):
    print(ans[i])

Buggy python submission (verdict: Runtime Error):
n, m = map(int, input().split())
dir = [[] for _ in range(m+1)]

for i in range(m):
    ta, tb = map(int, input().split())
    dir[ta].append(tb)
    dir[tb].append(ta)

ans = [0]*(n+1)
flag = [False]*(n+1)
flag[1] = True
que = [1]
while len(que) != 0:
    #print('que: ', len(que), que)
    now = que.pop()
    for to in dir[now]:
        if flag[to]:
            continue
        que.append(to)
        flag[to] = True
        ans[to] = now
"""         print(to)
        ans[to] = now
        flag[to] = 1
        for toto in dir[to]:
            if flag[toto] != 1:
                que.append(toto) """
print('Yes')
for i in range(2,n+1):
    print(ans[i])

Fixed submission:
from collections import deque
n, m = map(int, input().split())
dir = [[] for _ in range(n+1)]

for i in range(m):
    ta, tb = map(int, input().split())
    dir[ta].append(tb)
    dir[tb].append(ta)

ans = [0]*(n+1)
flag = [False]*(n+1)
flag[1] = True
que = deque([1])
while que:
    #print('que: ', len(que), que)
    now = que.popleft()
    for to in dir[now]:
        if flag[to]:
            continue
        que.append(to)
        flag[to] = True
        ans[to] = now

print('Yes')
for i in range(2,n+1):
    print(ans[i])

Buggy python submission (verdict: Runtime Error):
n, m = map(int, input().split())
dir = [[] for _ in range(m+1)]

for i in range(m):
    ta, tb = map(int, input().split())
    dir[ta].append(tb)
    dir[tb].append(ta)

ans = [0]*(n+1)
flag = [0]*(n+1)
flag[1] = 1
que = [1]
while len(que) != 0:
    print('que: ', len(que), que)
    now = que.pop()
    for to in dir[now]:
        if flag[to] == 1:
            continue
        que.append(to)
        flag[to] = 1
        ans[to] = now
"""         print(to)
        ans[to] = now
        flag[to] = 1
        for toto in dir[to]:
            if flag[toto] != 1:
                que.append(toto) """
print('Yes')
for i in range(2,n+1):
    print(ans[i])

Fixed submission:
from collections import deque
n, m = map(int, input().split())
dir = [[] for _ in range(n+1)]

for i in range(m):
    ta, tb = map(int, input().split())
    dir[ta].append(tb)
    dir[tb].append(ta)

ans = [0]*(n+1)
flag = [False]*(n+1)
flag[1] = True
que = deque([1])
while que:
    #print('que: ', len(que), que)
    now = que.popleft()
    for to in dir[now]:
        if flag[to]:
            continue
        que.append(to)
        flag[to] = True
        ans[to] = now

print('Yes')
for i in range(2,n+1):
    print(ans[i])

Buggy python submission (verdict: Runtime Error):
n, m = map(int, input().split())
dir = [[] for _ in range(m+1)]

for i in range(m):
    ta, tb = map(int, input().split())
    dir[a].append(b)
    dir[b].append(a)

ans = [0]*(n+1)
flag = [0]*(n+1)
flag[1] = 1
que = [1]
while len(que) != 0:
    #print('que: ', len(que), que)
    now = que.pop()
    for to in dir[now]:
        if flag[to] == 1:
            continue
        que.append(to)
        flag[to] != 1
        ans[to] = now
"""         print(to)
        ans[to] = now
        flag[to] = 1
        for toto in dir[to]:
            if flag[toto] != 1:
                que.append(toto) """
print('Yes')
for i in range(2,n+1):
    print(ans[i])

Fixed submission:
from collections import deque
n, m = map(int, input().split())
dir = [[] for _ in range(n+1)]

for i in range(m):
    ta, tb = map(int, input().split())
    dir[ta].append(tb)
    dir[tb].append(ta)

ans = [0]*(n+1)
flag = [False]*(n+1)
flag[1] = True
que = deque([1])
while que:
    #print('que: ', len(que), que)
    now = que.popleft()
    for to in dir[now]:
        if flag[to]:
            continue
        que.append(to)
        flag[to] = True
        ans[to] = now

print('Yes')
for i in range(2,n+1):
    print(ans[i])

Buggy python submission (verdict: Runtime Error):
n, m = map(int, input().split())
a = [0]
b = [0]
for i in range(1, m+1):
    ta, tb = map(int, input().split())
    a.append(ta)
    b.append(tb)
dir = [[] for _ in range(m+1)]
for i in range(1, m+1):
    dir[a[i]].append(b[i])
    dir[b[i]].append(a[i])
ans = [0 for i in range(n+1)]
flag = [0 for i in range(n+1)]
flag[1] = 1
que = [1]
while len(que) != 0:
    #print('que: ', len(que), que)
    now = que.pop()
    for to in dir[now]:
        if flag[to] == 1:
            continue
        que.append(to)
        flag[to] != 1
        ans[to] = now
"""         print(to)
        ans[to] = now
        flag[to] = 1
        for toto in dir[to]:
            if flag[toto] != 1:
                que.append(toto) """
print('Yes')
for i in range(2,n+1):
    print(ans[i])

Fixed submission:
from collections import deque
n, m = map(int, input().split())
dir = [[] for _ in range(n+1)]

for i in range(m):
    ta, tb = map(int, input().split())
    dir[ta].append(tb)
    dir[tb].append(ta)

ans = [0]*(n+1)
flag = [False]*(n+1)
flag[1] = True
que = deque([1])
while que:
    #print('que: ', len(que), que)
    now = que.popleft()
    for to in dir[now]:
        if flag[to]:
            continue
        que.append(to)
        flag[to] = True
        ans[to] = now

print('Yes')
for i in range(2,n+1):
    print(ans[i])

Buggy python submission (verdict: Runtime Error):
n, m = map(int, input().split())
a = [0]
b = [0]
for i in range(1, m+1):
    ta, tb = map(int, input().split())
    a.append(ta)
    b.append(tb)
dir = [[] for _ in range(m+1)]
for i in range(1, m+1):
    dir[a[i]].append(b[i])
    dir[b[i]].append(a[i])
ans = [0 for i in range(n+1)]
flag = [0 for i in range(n+1)]
flag[1] = 1
que = [1]
while len(que) != 0:
    #print('que: ', len(que), que)
    now = que.pop()
    flag[now] = 1
    for to in dir[now]:
        if flag[to] != 1 or not (to in que):
            que.append(to)
            flag[to] != 1
            ans[to] = now
"""         print(to)
        ans[to] = now
        flag[to] = 1
        for toto in dir[to]:
            if flag[toto] != 1:
                que.append(toto) """
print('Yes')
for i in range(2,n+1):
    print(ans[i])

Fixed submission:
from collections import deque
n, m = map(int, input().split())
dir = [[] for _ in range(n+1)]

for i in range(m):
    ta, tb = map(int, input().split())
    dir[ta].append(tb)
    dir[tb].append(ta)

ans = [0]*(n+1)
flag = [False]*(n+1)
flag[1] = True
que = deque([1])
while que:
    #print('que: ', len(que), que)
    now = que.popleft()
    for to in dir[now]:
        if flag[to]:
            continue
        que.append(to)
        flag[to] = True
        ans[to] = now

print('Yes')
for i in range(2,n+1):
    print(ans[i])

Buggy python submission (verdict: Runtime Error):
n, m = map(int, input().split())
a = [0]
b = [0]
for i in range(1, m+1):
    ta, tb = map(int, input().split())
    a.append(ta)
    b.append(tb)
dir = [[] for _ in range(m+1)]
for i in range(1, m+1):
    dir[a[i]].append(b[i])
    dir[b[i]].append(a[i])
ans = [0 for i in range(n+1)]
flag = [0 for i in range(n+1)]
flag[1] = 1
que = [1]
while len(que) != 0:
    #print('que: ', len(que), que)
    now = que.pop()
    flag[now] = 1
    for to in dir[now]:
        if flag[to] != 1 and not (to in que):
            que.append(to)
            flag[to] != 1
            ans[to] = now
"""         print(to)
        ans[to] = now
        flag[to] = 1
        for toto in dir[to]:
            if flag[toto] != 1:
                que.append(toto) """
print('Yes')
for i in range(2,n+1):
    print(ans[i])

Fixed submission:
from collections import deque
n, m = map(int, input().split())
dir = [[] for _ in range(n+1)]

for i in range(m):
    ta, tb = map(int, input().split())
    dir[ta].append(tb)
    dir[tb].append(ta)

ans = [0]*(n+1)
flag = [False]*(n+1)
flag[1] = True
que = deque([1])
while que:
    #print('que: ', len(que), que)
    now = que.popleft()
    for to in dir[now]:
        if flag[to]:
            continue
        que.append(to)
        flag[to] = True
        ans[to] = now

print('Yes')
for i in range(2,n+1):
    print(ans[i])

Buggy python submission (verdict: Runtime Error):
n, m = map(int, input().split())
a = [0]
b = [0]
for i in range(1, m+1):
    ta, tb = map(int, input().split())
    a.append(ta)
    b.append(tb)
dir = [[] for _ in range(m+1)]
for i in range(1, m+1):
    dir[a[i]].append(b[i])
    dir[b[i]].append(a[i])
ans = [0 for i in range(n+1)]
flag = [0 for i in range(n+1)]
flag[1] = 1
que = [1]
while len(que) != 0:
    print('que: ', len(que), que)
    now = que.pop()
    flag[now] = 1
    for to in dir[now]:
        if flag[to] != 1 and not (to in que):
            que.append(to)
            flag[to] != 1
            ans[to] = now
"""         print(to)
        ans[to] = now
        flag[to] = 1
        for toto in dir[to]:
            if flag[toto] != 1:
                que.append(toto) """
print('Yes')
for i in range(2,n+1):
    print(ans[i])

Fixed submission:
from collections import deque
n, m = map(int, input().split())
dir = [[] for _ in range(n+1)]

for i in range(m):
    ta, tb = map(int, input().split())
    dir[ta].append(tb)
    dir[tb].append(ta)

ans = [0]*(n+1)
flag = [False]*(n+1)
flag[1] = True
que = deque([1])
while que:
    #print('que: ', len(que), que)
    now = que.popleft()
    for to in dir[now]:
        if flag[to]:
            continue
        que.append(to)
        flag[to] = True
        ans[to] = now

print('Yes')
for i in range(2,n+1):
    print(ans[i])

Buggy python submission (verdict: Runtime Error):
n, m = map(int, input().split())
a = [0]
b = [0]
for i in range(1, m+1):
    ta, tb = map(int, input().split())
    a.append(ta)
    b.append(tb)
dir = [[] for _ in range(m+1)]
for i in range(1, m+1):
    dir[a[i]].append(b[i])
    dir[b[i]].append(a[i])
ans = [0 for i in range(n+1)]
flag = [0 for i in range(n+1)]
flag[1] = 1
que = [1]
while len(que) != 0:
    print('que: ', len(que), que)
    now = que.pop(-1)
    flag[now] = 1
    for to in dir[now]:
        if flag[to] != 1 and not (to in que):
            que.append(to)
            flag[to] != 1
            ans[to] = now
"""         print(to)
        ans[to] = now
        flag[to] = 1
        for toto in dir[to]:
            if flag[toto] != 1:
                que.append(toto) """
print('Yes')
for i in range(2,n+1):
    print(ans[i])

Fixed submission:
from collections import deque
n, m = map(int, input().split())
dir = [[] for _ in range(n+1)]

for i in range(m):
    ta, tb = map(int, input().split())
    dir[ta].append(tb)
    dir[tb].append(ta)

ans = [0]*(n+1)
flag = [False]*(n+1)
flag[1] = True
que = deque([1])
while que:
    #print('que: ', len(que), que)
    now = que.popleft()
    for to in dir[now]:
        if flag[to]:
            continue
        que.append(to)
        flag[to] = True
        ans[to] = now

print('Yes')
for i in range(2,n+1):
    print(ans[i])

Buggy python submission (verdict: Runtime Error):
n, m = map(int, input().split())
a = [0]
b = [0]
for i in range(1, m+1):
    ta, tb = map(int, input().split())
    a.append(ta)
    b.append(tb)
dir = [[] for _ in range(m+1)]
for i in range(1, m+1):
    dir[a[i]].append(b[i])
    dir[b[i]].append(a[i])
ans = [0 for i in range(n+1)]
flag = [0 for i in range(n+1)]
flag[1] = 1
que = [1]
while len(que) != 0:
    print('que: ', len(que), que)
    now = que.pop()
    flag[now] = 1
    for to in dir[now]:
        if flag[to] != 1 and not (to in que):
            que.append(to)
            flag[to] != 1
            ans[to] = now
"""         print(to)
        ans[to] = now
        flag[to] = 1
        for toto in dir[to]:
            if flag[toto] != 1:
                que.append(toto) """
print('Yes')
for i in range(2,n+1):
    print(ans[i])

Fixed submission:
from collections import deque
n, m = map(int, input().split())
dir = [[] for _ in range(n+1)]

for i in range(m):
    ta, tb = map(int, input().split())
    dir[ta].append(tb)
    dir[tb].append(ta)

ans = [0]*(n+1)
flag = [False]*(n+1)
flag[1] = True
que = deque([1])
while que:
    #print('que: ', len(que), que)
    now = que.popleft()
    for to in dir[now]:
        if flag[to]:
            continue
        que.append(to)
        flag[to] = True
        ans[to] = now

print('Yes')
for i in range(2,n+1):
    print(ans[i])