qyliang/CodeNanoFix huggingface dataset:
Buggy code:
from collections import Counter
h,w=map(int,input().split())
#a=[list(input()) for i in range(w)]
a=[]
flag=True
for i in range(h):
  a+=list(input())
ca=Counter(a)
if h%2==0 and w%2==0:
  for i in ca:
    if ca[i]%4!=0:
      flag=False
      print('No')
      break
  if flag:
    print('Yes')

elif h%2!=0 and w%2!=0:
  yon=(h-1)*(w-1)
  ni=h*w-yon-1
  iti=1
  for i in ca:
    while ca[i]>0
      if ca[i]%4==0 and yon>0:
        ca[i]-=4
        yon-=4
      elif ca[i]%2==0 and ni>0:
        ni-=2
        ca[i]-=2
      elif iti>0:
        iti-=1
        ca[i]-=1
      else:
        break
  if yon==0 and ni==0 and iti==0:
    print('Yes')
  else:
    print('No')
else:
  if h%2==0:
    yon=(h)*(w-1)
  else:
    yon=(h-1)*(w)
  ni=h*w-yon
  for i in ca:
    while ca[i]>0:
      if ca[i]%4==0 and yon>0:
        ca[i]-=4
        yon-=4
      elif ca[i]%2==0 and ni>0:
        ni-=2
        ca[i]-=2
      else:
        break
  if yon==0 and ni==0:
    print('Yes')
  else:
    print('No')
  
  

Fixed code:
from collections import Counter
h,w=map(int,input().split())
#a=[list(input()) for i in range(w)]
a=[]
flag=True
for i in range(h):
  a+=list(input())
ca=Counter(a)
if h%2==0 and w%2==0:
  for i in ca:
    if ca[i]%4!=0:
      flag=False
      print('No')
      break
  if flag:
    print('Yes')

elif h%2!=0 and w%2!=0:
  yon=(h-1)*(w-1)
  ni=h*w-yon-1
  iti=1
  for i in ca:
    while ca[i]>0:
      if ca[i]%4==0 and yon>0:
        ca[i]-=4
        yon-=4
      elif ca[i]%2==0 and ni>0:
        ni-=2
        ca[i]-=2
      elif iti>0:
        iti-=1
        ca[i]-=1
      else:
        break
  if yon==0 and ni==0 and iti==0:
    print('Yes')
  else:
    print('No')
else:
  if h%2==0:
    yon=(h)*(w-1)
  else:
    yon=(h-1)*(w)
  ni=h*w-yon
  for i in ca:
    while ca[i]>0:
      if ca[i]%4==0 and yon>0:
        ca[i]-=4
        yon-=4
      elif ca[i]%2==0 and ni>0:
        ni-=2
        ca[i]-=2
      else:
        break
  if yon==0 and ni==0:
    print('Yes')
  else:
    print('No')
Buggy code:
from string import ascii_lowercase


def new_val(cnt, base, target):
    diff = min(cnt // base, target)
    cnt -= diff * base
    target -= diff
    return cnt, target


def main():
    h, w = map(int, input().split())
    count = {s: 0 for s in ascii_lowercase}
    for _ in range(h):
        row = input()
        for j in range(w):
            count[row[j]] += 1
    target_4 = (h // 2) * (w // 2)
    target_1 = (h % 2) * (w % 2)
    target_2 = w // 2 * h % 2 + h // 2 + w % 2
    ans = "Yes"
    for chr, cnt in count.items():
        count[chr], target_4 = new_val(cnt, 4, target_4)
    if target_4:
        ans = "No"
    for chr, cnt in count.items():
        count[chr], target_2 = new_val(cnt, 2, target_2)
    if target_2:
        ans = "No"
    if sum(count.values()) == target_1:
        ans = "No"
    print(ans)


if __name__ == '__main__':
    main()



Fixed code:
from string import ascii_lowercase


def new_val(cnt, base, target):
    diff = min(cnt // base, target)
    cnt -= diff * base
    target -= diff
    return cnt, target


def main():
    h, w = map(int, input().split())
    count = {s: 0 for s in ascii_lowercase}
    for _ in range(h):
        row = input()
        for j in range(w):
            count[row[j]] += 1
    target_4 = (h // 2) * (w // 2)
    target_1 = (h % 2) * (w % 2)
    target_2 = (w // 2) * (h % 2) + (h // 2) * (w % 2)
    ans = "Yes"
    for chr, cnt in count.items():
        count[chr], target_4 = new_val(cnt, 4, target_4)
    if target_4:
        ans = "No4"
    for chr, cnt in count.items():
        count[chr], target_2 = new_val(cnt, 2, target_2)
    if target_2:
        ans = "No2"
    if sum(count.values()) != target_1:
        ans = "No"
    print(ans)


if __name__ == '__main__':
    main()
Buggy code:
h, w = map(int, input().split())


table = {}
for i in range(h):
    a = input()
    for c in a:
        if c not in table:
            table[c] = 1
        else:
            table[c] += 1

mod0 = []
mod1 = []
mod2 = []
mod3 = []
for key, value in table.items():
    if value % 4 == 0:
        mod0.append(key)
    elif value % 4 == 1:
        mod1.append(key)
    elif value % 4 == 2:
        mod2.append(key)
    else:
        mod3.append(key)


if w % 2 == 0 and h % 2 == 0:
    if len(mod1) > 0 or len(mod2) > 0 or len(mod3) > 0:
        print("No")
    else:
        print("Yes")

elif w % 2 == 0 or h % 2 == 0:
    if h % 2 == 0:
        w, h = h, w

    if w // 2 < len(mod2):
        print("No")
    elif len(mod1) > 0 or len(mod3) > 0:
        print("No")
    else:
        print("Yes")
else:
    if len(mod1) != 1 and len(mod3) != 1:
        print("No")
    elif len(mod2) > (w // 2) * (h // 2):
        print("No")
    elif len(mod3) > 0:
        print("No")
    else:
        print("Yes")


Fixed code:
h, w = map(int, input().split())


table = {}
for i in range(h):
    a = input()
    for c in a:
        if c not in table:
            table[c] = 1
        else:
            table[c] += 1

mod0 = []
mod1 = []
mod2 = []
mod3 = []
for key, value in table.items():
    if value % 4 == 0:
        mod0.append(key)
    elif value % 4 == 1:
        mod1.append(key)
    elif value % 4 == 2:
        mod2.append(key)
    else:
        mod3.append(key)


if w % 2 == 0 and h % 2 == 0:
    if len(mod1) > 0 or len(mod2) > 0 or len(mod3) > 0:
        print("No")
    else:
        print("Yes")

elif w % 2 == 0 or h % 2 == 0:
    if h % 2 == 0:
        w, h = h, w

    if w // 2 < len(mod2):
        print("No")
    elif len(mod1) > 0 or len(mod3) > 0:
        print("No")
    else:
        print("Yes")
else:
    if len(mod1) == 1 and len(mod2) <= (h + w - 1) // 2:
        print("Yes")
    else:
        print("No")
Buggy code:
from collections import Counter
h, w = map(int, input().split())
A = []
for i in range(h):
    A.extend(list(input()))
cA = Counter(A)

l1 = h*w%2
l2 = (h//2)*(w%2) + (w//2)*(h%2)
l3 = (h//2)*(w//2)
if l1:
    for key, val in cA.items():
        if val%2==1:
            cA[key] -= 1
            break
for _ in range(l2):
    for key, val in cA.items():
        if val%4=-2:
            cA[key] -= 2
            break
print('Yes' if sum(a[i]%4 for i in a) == 0 else 'No')

Fixed code:
from collections import Counter
h, w = map(int, input().split())
A = []
for i in range(h):
    A.extend(list(input()))
cA = Counter(A)

l1 = h*w%2
l2 = (h//2)*(w%2) + (w//2)*(h%2)
l3 = (h//2)*(w//2)
if l1:
    for key, val in cA.items():
        if val%2==1:
            cA[key] -= 1
            break
for _ in range(l2):
    for key, val in cA.items():
        if val%4==2:
            cA[key] -= 2
            break
print('Yes' if sum(val%4 for val in cA.values()) == 0 else 'No')
Buggy code:
import collections
h,w = map(int, input().split())
s = ''.join([''.join(input().split()) for _ in range(h)])

ctr = collections.Counter(s)
if h % 2 == 0 and w % 2 == 0:
    four, two = h*w//4
elif h % 2 == 0:
    four, two = (h*w-h)//4, h//2
elif w % 2 == 0:
    four, two = (h*w-w)//4, w//2
else:
    four, two = (h*w-h-w+1), (h+w-1)//2

cf = sum([c//4 for c in ctr.values()])
ct = sum([(c%4)//2 for c in ctr.values()])

if cf >= four and ct >= 2*(four-cf) + two:
    print('Yes')
else:
    print('No')

Fixed code:
import collections
h,w = map(int, input().split())
s = ''.join([''.join(input().split()) for _ in range(h)])

ctr = collections.Counter(s)
if h % 2 == 0 and w % 2 == 0:
    four, two = h*w//4, 0
elif h % 2 == 0:
    four, two = (h*w-h)//4, h//2
elif w % 2 == 0:
    four, two = (h*w-w)//4, w//2
else:
    four, two = (h*w-h-w+1)//4, (h+w-1)//2

cf = sum([c//4 for c in ctr.values()])
ct = sum([(c%4)//2 for c in ctr.values()])

if cf >= four and ct + 2*(cf-four) >= two:
    print('Yes')
else:
    print('No')
Buggy code:
h,w=map(int,input().split())
cnt=[0]*26
for i in range(h):
	a=input()
	for j in range(w):
		cnt[ord(a[j])-ord("a")]+=1
if h%2==1 and w%2==1:
	f=0
	for i in range(26):
		if cnt[i]%2==1:
			cnt[i]-=1
			break
	four=0
	for i in range(26):
		if cnt[i]>=4:
			four+=cnt[i]//4*4
		elif cnt[i]%2==1:
			f=-1
			break
	print(2/0)
	if four>=h*w-(h//2+w//2)*2-1 and f==0:
		f=1
	else:
		f=0
elif h%2==0 and w%2==0:
	f=1
	for i in range(26):
		if cnt[i]%4!=0:
			f=0
			break
else:
	if h%2==0:
		h,w=w,h
	four=0;f=0
	for i in range(26):
		if cnt[i]>=4:
			four+=cnt[i]//4*4
		elif cnt[i]%2==1:
			f=-1
			break
	if four>=h*w-w//2*2 and f==0:
		f=1
	else:
		f=0
print("Yes" if f else "No")

Fixed code:
h,w=map(int,input().split())
cnt=[0]*26
for i in range(h):
	a=input()
	for j in range(w):
		cnt[ord(a[j])-ord("a")]+=1
if h%2==1 and w%2==1:
	f=0
	for i in range(26):
		if cnt[i]%2==1:
			cnt[i]-=1
			break
	four=0
	for i in range(26):
		if cnt[i]>=4:
			four+=cnt[i]//4*4
		elif cnt[i]%2==1:
			f=-1
			break
	if four>=h*w-(h//2+w//2)*2-1 and f==0:
		f=1
	else:
		f=0
elif h%2==0 and w%2==0:
	f=1
	for i in range(26):
		if cnt[i]%4!=0:
			f=0
			break
else:
	if h%2==0:
		h,w=w,h
	two=0;f=0
	for i in range(26):
		if cnt[i]%4==2:
			two+=2
		elif cnt[i]%2==1:
			f=-1
			break
	if two<=w and f==0:
		f=1
	else:
		f=0
print("Yes" if f else "No")
Buggy code:
h,w = map(int,input().split())
a = [input() for _ in range(h)]
alpha = [0]*26
for i in range(h):
    for j in range(w):
        alpha[ord(a[i][j])-ord("a")] += 1

ans = "Yes"
odd = 0
cnt = 0

for i in range(26):
    if alpha[i]%2 != 0:
        odd += 1
        alpha[i] -= 1
    if alpha[i]%4 != 0: cnt += 1
    
if odd > 1: ans = "No"
elif h%2 == 1 and w%2 == 1:
    if cnt > h//2+w//2: ans = "No"
elif h%2 == 1:
    if cnt > h//2: ans = "No"
elif w%2 == 1:
    if cnt > w//2: ans = "No"
else:
    if cnt > 0: ans = "No"
print(ans)

Fixed code:
h,w = map(int,input().split())
a = [input() for _ in range(h)]
alpha = [0]*26
for i in range(h):
    for j in range(w):
        alpha[ord(a[i][j])-ord("a")] += 1

ans = "Yes"
odd = 0
cnt = 0

for i in range(26):
    if alpha[i]%2 != 0:
        odd += 1
        alpha[i] -= 1
    if alpha[i]%4 != 0: cnt += 1

if odd > 1: ans = "No"
elif h%2 == 1 and w%2 == 1:
    if cnt > h//2+w//2: ans = "No"
elif h%2 == 1:
    if cnt > w//2: ans = "No"
elif w%2 == 1:
    if cnt > h/2: ans = "No"
else:
    if cnt > 0: ans = "No"
print(ans)
Buggy code:
from collections import Counter

h, w = map(int, input().split())
a = Counter(''.join(input() for _ in range(h)))

center = h * w % 2
side = (h // 2) * (w % 2) + (w // 2) * (h % 2)
corner = (h // 2) * (w // 2)

cnt = 0
for i in a:
    if a[i] % 2 == 1:
        a[i] -= 1
        cnt += 1
    if cnt == center:
        break

cnt = 0
for i in a:
    if a[i] % 4 == 2:
        a[i] -= 2
        cnt += 1
    if cnt == side:
        break

print('Yes' if sum(a[i] % 4 for i in a) == 0 else 'No')


Fixed code:
from collections import Counter

h, w = map(int, input().split())
a = Counter(''.join(input() for _ in range(h)))

center = h * w % 2
side = (h // 2) * (w % 2) + (w // 2) * (h % 2)
corner = (h // 2) * (w // 2)

for i in range(center):
    for i in a:
        if a[i] % 2 == 1:
            a[i] -= 1
            break
for i in range(side):
    for i in a:
        if a[i] % 4 == 2:
            a[i] -= 2
            break

print('Yes' if sum(a[i] % 4 for i in a) == 0 else 'No')
Buggy code:
h, w = map(int, input().split())
s = ""
cnt = [0] * 26
for _ in range(h):
    s = input()
    for i in range(len(s)):
        cnt[ord(s[i]) - ord("a")] += 1
c4=0
c2=0
c1=0
if h&1 == 1:
    c2 += w // 2
if w&1 == 1:
    c2 += h // 2
if (h&1 == 1) and (w&1 == 1):
    c1 = 1
c4 += (h//2) * (w//2)
#print(c1,c2,c4)

for i in range(26):
    while cnt[i] %4 == 0 and cnt[i] > 0:
        cnt[i] -= 4
        c4 -= 1
    while cnt[i] % 4 == 2:
        cnt[i] -= 2
        c2 -= 1
    while cnt[i] % 4 == 1 or cnt[i] % 4 == 3:
        cnt[i] -= 1
        c1 -= 1

if c1==0 and c2==0 and c4==0:
    print("Yes")
else:
    print("No")


Fixed code:
h, w = map(int, input().split())
s = ""
cnt = [0] * 26
for _ in range(h):
    s = input()
    for i in range(len(s)):
        cnt[ord(s[i]) - ord("a")] += 1
#print(cnt)
c4=0
c2=0
c1=0
if h&1 == 1:
    c2 += w // 2
if w&1 == 1:
    c2 += h // 2
if (h&1 == 1) and (w&1 == 1):
    c1 = 1
c4 += (h//2) * (w//2)
#print(c1,c2,c4)

for i in range(26):
    if c4 <= 0:
        continue
    while cnt[i] >= 4:
        cnt[i] -= 4
        c4 -= 1
for i in range(26):
    if c2 <= 0:
        continue
    while cnt[i] >= 2:
        cnt[i] -= 2
        c2 -= 1
for i in range(26):
    if c1 <= 0:
        continue
    while cnt[i] % 4 == 1 or cnt[i] % 4 == 3:
        cnt[i] -= 1
        c1 -= 1

#print(c1,c2,c4)
if c1==0 and c2==0 and c4==0:
    print("Yes")
else:
    print("No")
Buggy code:
import sys

# import re
import math
import collections
# import decimal
import bisect
import itertools
import fractions
# import functools
import copy
import heapq
import decimal
# import statistics
import queue

sys.setrecursionlimit(10000001)
INF = 10 ** 16
MOD = 10 ** 9 + 7

ni = lambda: int(sys.stdin.readline())
ns = lambda: map(int, sys.stdin.readline().split())
na = lambda: list(map(int, sys.stdin.readline().split()))


# ===CODE===


def main():
    h, w = ns()
    d = []
    for _ in range(h):
        tmp = list(input())
        d.extend(tmp)

    c = collections.Counter(d)

    flg1 = w % 2
    flg2 = h % 2
    even_pocket = h * flg1 + w * flg2 - flg1 - flg2
    odd_pocket = flg1 * flg2

    ans = True
    for k, v in c.items():
        even_pocket -= (v % 4) // 2 * 2
        odd_pocket -= v % 2
        if even_pocket < 0 or odd_pocket < 0:
            ans = False
            break

    print("Yes" if ans else "No")


if __name__ == '__main__':
    main()


Fixed code:
import sys

# import re
import math
import collections
# import decimal
import bisect
import itertools
import fractions
# import functools
import copy
import heapq
import decimal
# import statistics
import queue

sys.setrecursionlimit(10000001)
INF = 10 ** 16
MOD = 10 ** 9 + 7

ni = lambda: int(sys.stdin.readline())
ns = lambda: map(int, sys.stdin.readline().split())
na = lambda: list(map(int, sys.stdin.readline().split()))


# ===CODE===


def main():
    h, w = ns()
    d = []
    for _ in range(h):
        tmp = list(input())
        d.extend(tmp)

    c = collections.Counter(d)

    flg1 = w % 2
    flg2 = h % 2
    even_pocket = h * flg1 + w * flg2 - flg1 * flg2 * 2
    odd_pocket = flg1 * flg2

    ans = True
    for k, v in c.items():
        even_pocket -= ((v % 4) // 2) * 2
        odd_pocket -= v % 2
        if even_pocket < 0 or odd_pocket < 0:
            ans = False
            break

    print("Yes" if ans else "No")


if __name__ == '__main__':
    main()
Buggy code:
from collections import Counter, defaultdict
H, W = map(int, input().split(' '))
d = defaultdict(int)
for i in range(H):
    for k, v in Counter(input()).items():
        d[k] += v
if H % 2 == 0 and W % 2 == 0:
    for i in d.values():
        if i % 4 != 0:
            print('No')
            exit()
    print('Yes')
elif H % 2 == 0 or W % 2 == 0:
    raise TypeError
    cnt = H//2 if not H % 2 else W//2
    for i in d.values():
        if i % 4 == 0:
            continue
        elif i % 2 == 0:
            cnt -= 1
            if cnt >= 0:
                continue
        print('No')
        exit()
    print('Yes')
else:
    raise TypeError
    odd = 1
    cnt = H+W-1
    for i in d.values():
        if i % 2 != 0 and odd:
            odd -=1
            continue
        elif i % 4 == 0:
            continue
        elif i % 2 == 0 and cnt:
            cnt -= 1
            continue
        else:
            print('No')
            exit()
    print('Yes')

Fixed code:
from collections import Counter, defaultdict
H, W = map(int, input().split(' '))
d = defaultdict(int)
for i in range(H):
    for k, v in Counter(input()).items():
        d[k] += v
if H % 2 == 0 and W % 2 == 0:
    for i in d.values():
        if i % 4 != 0:
            print('No')
            exit()
    print('Yes')
elif H % 2 == 0 or W % 2 == 0:
    cnt = H//2 if not H % 2 else W//2
    for i in d.values():
        if i % 4 == 0:
            continue
        elif i % 2 == 0:
            cnt -= 1
            if cnt >= 0:
                continue
        print('No')
        exit()
    print('Yes')
else:
    odd = 1
    cnt = (H+W-2)//2
    for i in d.values():
        if i % 2 != 0 and odd:
            odd -= 1
            continue
        elif i % 4 == 0:
            continue
        elif i % 2 == 0 and cnt:
            cnt -= 1
            continue
        else:
            print('No')
            exit()
    print('Yes')
Buggy code:
h,w=map(int,input().split())
a={}
for i in range(26):
  a[chr(i+97)]=0
for i in range(h):
  s=input()
  for j in s:
    a[j]+=1
if h%2==0 and w%2==0:
  for i in a.values():
    if i%4!=0:print("No");exit()
  print("Yes")
elif h%2==1 and w%2==0:
  cnt=0
  for i in a.values():
    if i%4!=2:cnt+=1
  if cnt>w//2:
    print("No")
  else:print("Yes")
elif h%2==0 and w%2==1:
   cnt=0
  for i in a.values():
    if i%4!=2:cnt+=1
  if cnt>h//2:
    print("No")
  else:print("Yes")
else:
  cnt2=0;cnt1=0
  for i in a.values():
    if i%4==1:cnt1+=1
    elif i%4==2:cnt2+=1
  if cnt1!=1:print("No")
  elif 2*cnt2>h+w-2:print("No")
  else:
    print("Yes")

Fixed code:
h,w=map(int,input().split())
a={}
for i in range(26):
  a[chr(i+97)]=0
for i in range(h):
  s=input()
  for j in s:
    a[j]+=1
if h==1 and w==1:print("Yes")
elif h%2==0 and w%2==0:
  for i in a.values():
    if i%4!=0:print("No");exit()
  print("Yes")
elif h%2==1 and w%2==0:
  cnt=0
  for i in a.values():
    if i%4==1 or i%4==3:
      print("No");exit()
    if i%4==2:cnt+=1
  if cnt>w//2:
    print("No")
  else:print("Yes")
elif h%2==0 and w%2==1:
  cnt=0
  for i in a.values():
    if i%4==1 or i%4==3:
      print("No");exit()
    if i%4==2:cnt+=1
  if cnt>h//2:
    print("No")
  else:print("Yes")
else:
  cnt3=0;cnt2=0;cnt1=0
  for i in a.values():
    if i%4==1:cnt1+=1
    elif i%4==2:cnt2+=1
    elif i%4==3:cnt3+=1
  if cnt1+cnt3!=1:print("No")
  elif cnt2+cnt3>(h-1)//2+(w-1)//2:print("No")
  else:
    print("Yes")
Buggy code:
h,w=map(int,input().split())
a=[input() for _ in range(h)]
from collections import defaultdict
d=defaultdict(lambda:0)
for ai in a:
    for aij in ai:
        d[aij]+=1
print(d)
if h%2==0 and w%2==0:
    print('Yes' if all(v%4==0 for v in d.values()) else 'No')
elif h%2==0 and w%2==1:
    c=0
    for v in d.values():
        if v%4==0:
            pass
        elif v%2==0:
            c+=1
        else:
            print('No')
            exit()
    print('Yes' if c<=h//2 else 'No')
elif h%2==1 and w%2==0:
    c=0
    for v in d.values():
        if v%4==0:
            pass
        elif v%2==0:
            c+=1
        else:
            print('No')
            exit()
    print('Yes' if c<=w//2 else 'No')
else:
    ce=0
    co=0
    for v in d.values():
        if v%4==0:
            pass
        elif v%2==0:
            ce+=1
        else:
            co+=1
    print('Yes' if ce<=h//2+w//2 and co==1 else 'No')


Fixed code:
h,w=map(int,input().split())
a=[input() for _ in range(h)]
from collections import defaultdict
d=defaultdict(lambda:0)
for ai in a:
    for aij in ai:
        d[aij]+=1
if h%2==0 and w%2==0:
    print('Yes' if all(v%4==0 for v in d.values()) else 'No')
elif h%2==0 and w%2==1:
    c=0
    for v in d.values():
        if v%4==0:
            pass
        elif v%2==0:
            c+=1
        else:
            print('No')
            exit()
    print('Yes' if c<=h//2 else 'No')
elif h%2==1 and w%2==0:
    c=0
    for v in d.values():
        if v%4==0:
            pass
        elif v%2==0:
            c+=1
        else:
            print('No')
            exit()
    print('Yes' if c<=w//2 else 'No')
else:
    ce=0
    co=0
    for v in d.values():
        if v%4==0:
            pass
        elif v%2==0:
            ce+=1
        else:
            co+=1
    print('Yes' if ce<=h//2+w//2 and co==1 else 'No')
Buggy code:
h,w = map(int,input().split())
lis = [0 for i in range(26)]
s = [str(input()) for i in range(h)]
for i in range(h):
  for j in range(w):
    lis[ord(s[i][j])-ord("a")] += 1
lis.sort()
cnt1 = 0
cnt4 = 0
for num in lis:
  if num % 2 == 1:cnt1 += 1
  cnt4 += num//4
if h % 2 == 0:
  if w % 2 == 0:
    if cnt4 == (h//2)*(w//2):
      print("Yes")
    else:
      print("No")
  else:
    if cnt4 >= h//2:
      print("Yes")
    else:
      print("No")
else:
  if w % 2 == 0:
    if cnt4 >= w//2:
      print("Yes")
    else:
      print("No")
  else:
    if cnt1 == 1 and cnt4 >= (h//2)*(w//2):
      print("Yes")
    else:
      print("No")

Fixed code:
h,w = map(int,input().split())
lis = [0 for i in range(26)]
s = [str(input()) for i in range(h)]
for i in range(h):
  for j in range(w):
    lis[ord(s[i][j])-ord("a")] += 1
lis.sort()
cnt1 = 0
cnt4 = 0
for num in lis:
  if num % 2 == 1:
    cnt1 += 1
  cnt4 += num//4
if h % 2 == 0:
  if w % 2 == 0:
    if cnt4 == (h//2)*(w//2):
      print("Yes")
    else:
      print("No")
  else:
    if cnt1 == 0 and cnt4 >= (h//2)*(w//2):
      print("Yes")
    else:
      print("No")
else:
  if w % 2 == 0:
    if cnt1 == 0 and cnt4 >= (h//2)*(w//2):
      print("Yes")
    else:
      print("No")
  else:
    if cnt1 == 1 and cnt4 >= (h//2)*(w//2):
      print("Yes")
    else:
      print("No")
Buggy code:
import collections

H, W = map(int, input().split())
A = []
for _ in range(H):
    A += list(input())
elements = collections.Counter([x % 4 for x in collections.Counter(A).values()])
c = [0]*4
for x in elements.keys():
    c[x] = elements[x]

ans = False
if H % 2 == 0 and W % 2 == 0:
    if c[1:] == [0, 0, 0]:
        ans = True

elif H % 2 != 0 and W % 2 != 0:
    if c[1] + c[3] == 1:
        if c[1] == 1:
            c[0] += 1
            c[1] = 0
        else:
            c[2] += 1
            c[3] = 0

        if c[1:] == [0, 0, 0] or c[2] <= (H + W)//2 - 1:
            ans = True 

elif H % 2 != 0:
    if c[1:] == [0, 0, 0] or c[2] <= W//2:
        ans = True
else:
    if c[1:] == [0, 0, 0] or c[2] <= H//2:
        ans = True

if ans:
    print('Yes')
else:
    print('No')

Fixed code:
import collections

H, W = map(int, input().split())
A = []
for _ in range(H):
    A += list(input())
elements = collections.Counter([x % 4 for x in collections.Counter(A).values()])
c = [0]*4
for x in elements.keys():
    c[x] = elements[x]

ans = False
if H % 2 == 0 and W % 2 == 0:
    if c[1:] == [0, 0, 0]:
        ans = True

elif H % 2 != 0 and W % 2 != 0:
    if c[1] + c[3] == 1:
        if c[1] == 1:
            c[0] += 1
            c[1] = 0
        else:
            c[2] += 1
            c[3] = 0

        if c[1:] == [0, 0, 0] or c[2] <= (H + W)//2 - 1:
            ans = True 

elif H % 2 != 0:
    if c[1:] == [0, 0, 0] or (c[2] <= W//2 and c[1] + c[3] == 0):
        ans = True
else:
    if c[1:] == [0, 0, 0] or (c[2] <= H//2 and c[1] + c[3] == 0):
        ans = True

if ans:
    print('Yes')
else:
    print('No')
Buggy code:
from collections import Counter
H, W = map(int, input().split())
D = []
for _ in range(H):
    D.extend(list([v for v in input()]))
C = Counter(D)
L = list([v for i, v in C.most_common()])

g1 = sum(v % 2 for v in L)
g4 = sum(v//4 for v in L)

if g4 >= (W-(W % 2))*(H-(H % 2)):
    print("Yes")
else:
    print("No")


Fixed code:
from collections import Counter
H, W = map(int, input().split())
D = []
for _ in range(H):
    D.extend(list([v for v in input()]))
C = Counter(D)
L = list([v for i, v in C.most_common()])

g1 = sum(v % 2 for v in L)
g4 = sum(v//4 for v in L)

if g4 >= (W-(W % 2))*(H-(H % 2))//4 and g1 == H & 1 & W:
    print("Yes")
else:
    print("No")