qyliang/CodeNanoFix huggingface dataset:
Buggy code:
import sys

MOD = 10 ** 9 + 7

h, w, k = map(int, sys.stdin.readline().split())

def main():
    ok = []
    for i in range(2 ** (w - 1)):
        prev = False
        for j in range(w-1):
            if i >> j & 1:
                if prev:
                    break
                else:
                    prev = True
            else:
                prev = False
        else:
            ok.append(i)

    lcr = [(letter, 0) for letter in 'lcr']
    a = [dict(lcr) for _ in range(w)]
    for i in ok:
        j = 0
        while j < w:
            if i >> j & 1:
                a[j]['r'] += 1
                a[j+1]['l'] += 1
                j += 2
            else:
                a[j]['c'] += 1
                j += 1

    res = [0] * w
    res[0] = 1
    for _ in range(h):
        nex = [0] * w
        for j in range(w):
            if j == 0:
                nex[j] = res[j] * a[j]['c'] + res[j+1] * a[j]['r']
            elif j < w - 1:
                nex[j] = res[j-1] * a[j]['l'] + res[j] * a[j]['c'] + res[j+1] * a[j]['r']
            else:
                nex[j] = res[j-1] * a[j]['l'] + res[j] * a[j]['c']
        for j in range(w):
            nex[j] %= MOD
        res = nex
        
    return res[k-1]
    
if __name__ == '__main__':
    ans = main()
    print(ans)

Fixed code:
import sys

MOD = 10 ** 9 + 7

h, w, k = map(int, sys.stdin.readline().split())

def main():
    if w == 1:
        return 1
        
    ok = []
    for i in range(2 ** (w - 1)):
        prev = False
        for j in range(w-1):
            if i >> j & 1:
                if prev:
                    break
                else:
                    prev = True
            else:
                prev = False
        else:
            ok.append(i)

    lcr = [(letter, 0) for letter in 'lcr']
    a = [dict(lcr) for _ in range(w)]
    for i in ok:
        j = 0
        while j < w:
            if i >> j & 1:
                a[j]['r'] += 1
                a[j+1]['l'] += 1
                j += 2
            else:
                a[j]['c'] += 1
                j += 1

    res = [0] * w
    res[0] = 1
    for _ in range(h):
        nex = [0] * w
        for j in range(w):
            if j == 0:
                nex[j] = res[j] * a[j]['c'] + res[j+1] * a[j]['r']
            elif j < w - 1:
                nex[j] = res[j-1] * a[j]['l'] + res[j] * a[j]['c'] + res[j+1] * a[j]['r']
            else:
                nex[j] = res[j-1] * a[j]['l'] + res[j] * a[j]['c']
        for j in range(w):
            nex[j] %= MOD
        res = nex

    return res[k-1]
    
if __name__ == '__main__':
    ans = main()
    print(ans)
Buggy code:
h,w,k = map(int, input().split())
k -= 1
mod = 1000000007
 
if w==1:
    print(1)
    exit()
 
dp = [[0 for _ in range(w)] for _ in range(h+1)]
dp[0][0] = 1
 
for hi in range(1,h+1):
    for b in range(2**(w-1)):
        judge = False
        for i in range(w-2):
            if (b>>i)&1 == 1:
                judge = True
                break
        if judge:
            continue
 
        perm = [i for i in range(w)]
        for i in range(w-1):
            if (b>>i)&1==1:
                perm[i],perm[i+1] = perm[i+1],perm[i]
        for i in range(w):
            dp[hi][perm[i]]  = (dp[hi][perm[i]]+dp[hi-1][i])%mod
 
print(dp[h][k])


Fixed code:
h,w,k = map(int, input().split())
k -= 1
mod = 1000000007
 
if w==1:
    print(1)
    exit()
 
dp = [[0 for _ in range(w)] for _ in range(h+1)]
dp[0][0] = 1
 
for hi in range(1,h+1):
    for b in range(2**(w-1)):
        judge = False
        for i in range(w-2):
            if (b>>i)&3 == 3:
                judge = True
                break
        if judge:
            continue
 
        perm = [i for i in range(w)]
        for i in range(w-1):
            if (b>>i)&1==1:
                perm[i],perm[i+1] = perm[i+1],perm[i]
        for i in range(w):
            dp[hi][perm[i]]  = (dp[hi][perm[i]]+dp[hi-1][i])%mod
 
print(dp[h][k])
Buggy code:
H, W, K = map(int, input().split())
dp = [[0 for i in range(W)] for j in range(H+1)]
mod = 10**9+7
dp[0][0] = 1

for k in range(H):
    for i in range(2**(W-1)):
        b = format(i, "0{}b".format(W-1))
        flag = 1
        for j in range(len(b)-1):
            if b[j+1] == "1" and b[j] == "1":
                flag = 0
                break
        if flag == 0:
            continue

        for j in range(len(b)):
            if flag == 0:
                flag = 1
                continue
            if b[j] == "1":
                dp[k+1][j+1] += dp[k][j]
                dp[k+1][j] += dp[k][j+1]
                dp[k+1][j+1] %= mod
                dp[k+1][j] %= mod
                flag = 0
            else:
                dp[k+1][j] += dp[k][j]
                dp[k+1][j] %= mod
print(dp[H][K-1])


Fixed code:
H, W, K = map(int, input().split())
dp = [[0 for i in range(W)] for j in range(H+1)]
mod = 10**9+7
dp[0][0] = 1

if W == 1:
    print(1)
else:
    for k in range(H):
        for i in range(2**(W-1)):
            b = format(i, "0{}b".format(W-1))
            flag = 1
            for j in range(len(b)-1):
                if b[j+1] == "1" and b[j] == "1":
                    flag = 0
                    break
            if flag == 0:
                continue

            for j in range(len(b)):
                if flag == 0:
                    flag = 1
                    continue
                if b[j] == "1":
                    dp[k+1][j+1] += dp[k][j]
                    dp[k+1][j] += dp[k][j+1]
                    dp[k+1][j+1] %= mod
                    dp[k+1][j] %= mod
                    flag = 0
                else:
                    dp[k+1][j] += dp[k][j]
                    dp[k+1][j] %= mod
            if b[-1] == "0":
                dp[k+1][-1] += dp[k][-1]
                dp[k+1][-1] %= mod
    print(dp[H][K-1])
Buggy code:
MOD = 10 ** 9 +7
h, w, k = map(int,input().split())

if w == 1:
    print(1)
else:
    acr = []
    for p in range(2**(w-1)):
        det = 0
        pp = p
        exist = [0] * (w-1)
        for i in range(w-1):
            exist[i] = pp % 2
            pp = pp // 2
        for ii in range(w-2):
            if exist[ii] == 1 and exist[ii+1] == 1:
                det = 1
        if det == 0:
            acr.append(exist)

    cur = [0] * w
    cur[0] = 1
    n = [0] * w

    for x in range(len(acr)):
        n[0] = cur[1] * acr[x][0] + cur[0] * (1-acr[x][0])
        for j in range(1,w-1):
            n[j] = cur[j-1] * acr[x][j-1] + cur[j+1] * acr[x][j] + cur[j] * (1-acr[x][j-1])(1-acr[x][j])
        n[w-1] = cur[w-2] * acr[x][w-2] + cur[w-1] * (1-acr[x][w-1])
        cur = n[:]
    print(cur[k-1])

Fixed code:
MOD = 10 ** 9 +7
h, w, k = map(int,input().split())

if w == 1:
    print(1)
else:
    acr = []
    for p in range(2**(w-1)):
        det = 0
        pp = p
        exist = [0] * (w-1)
        for i in range(w-1):
            exist[i] = pp % 2
            pp = pp // 2
        for ii in range(w-2):
            if exist[ii] == 1 and exist[ii+1] == 1:
                det = 1
        if det == 0:
            acr.append(exist[:])
    #print(acr)

    cur = [0] * w
    cur[0] = 1
    

    for t in range(h):
        n = [0] * w
        for x in range(len(acr)):
            n[0] = (n[0] + cur[1] * acr[x][0] + cur[0] * (1-acr[x][0]))%MOD
            for j in range(1,w-1):
                n[j] = (n[j] + cur[j-1] * acr[x][j-1] + cur[j+1] * acr[x][j] + cur[j] * (1-acr[x][j-1])*(1-acr[x][j]))%MOD
            n[w-1] = (n[w-1] + cur[w-2] * acr[x][w-2] + cur[w-1] * (1-acr[x][w-2])) % MOD
        
        cur = n[:]
        
    print(cur[k-1])
Buggy code:
H, W, K = map(int,input().split())
dp = [[0]*W for _ in range(H+1)]
dp[0][0] = 1

ck = [0]*9
for i in range(1,9):
  for j in range(2**i):
    for k in range(i-1):
      if k&(k+1)==True:
        continue
    else:
      ck[i] += 1

mod = 10**9+7
for i in range(1,H+1):
  for j in range(W):
    if j == 0:
      dp[i][j] = dp[i-1][j]*ck[W-2]+dp[i-1][j+1]*ck[W-3]
    elif j == W-1:
      dp[i][j] = dp[i-1][j]*ck[W-2]+dp[i-1][j-1]*ck[W-3] 
    else:
      dp[i][j] = dp[i-1][j+1]*(ck[j+1]+ck[W-j])+dp[i-1][j]*(ck[j]+ck[W-1-j])+dp[i-1][j-1]*(1+ck[j-1]+ck[W-j-2])

print(dp[H][K-1]%mod)

Fixed code:
H, W, K = map(int,input().split())
dp = [[0]*W for _ in range(H+1)]
dp[0][0] = 1

ck = [0]*9
ck[0] = 1
for i in range(1,9):
  for j in range(2**(i-1)):
    for k in range(i-1):
      if (j>>k)&(j>>(k+1))==True:
        break
    else:
      ck[i] += 1

mod = 10**9+7
for i in range(1,H+1):
  for j in range(W):
    if (j == 0)&(j == W-1):
      dp[i][j] = dp[i-1][j]*(ck[j]*ck[W-1-j])
    elif j == 0:
      dp[i][j] = dp[i-1][j+1]*(ck[j]*ck[W-j-2])+dp[i-1][j]*(ck[j]*ck[W-1-j])
    elif j == W-1:
      dp[i][j] = dp[i-1][j]*(ck[j]*ck[W-1-j])+dp[i-1][j-1]*(ck[j-1]*ck[W-j-1])
    else:
      dp[i][j] = dp[i-1][j+1]*(ck[j]*ck[W-j-2])+dp[i-1][j]*(ck[j]*ck[W-1-j])+dp[i-1][j-1]*(ck[j-1]*ck[W-j-1])

print(dp[H][K-1]%mod)
Buggy code:
H,W,K = map(int,input().split())
move= [0]*(W-1)
count = 0
MOD = 10**9+7

if W == 1:
    print(1)
    exit()

for i in range(2**(W-1),2**W):
    b = bin(i)[3:]
    flag = True
    for j in range(W-2):
        if b[j] == '1' and b[j+1] == '1':
            flag = False
    if flag :
        count += 1
        for j in range(W-1):
            move[j] += int(b[j])

print(move,count)

DP = [[0]*W for i in range(H+1)]
DP[0][0] = 1
for i in range(H):
    for j in range(W):
        if j == 0:
            DP[i+1][j] = (DP[i][j]*(count - move[0]) + DP[i][j+1]*move[0])%MOD
        elif j == W-1:
            DP[i+1][j] = (DP[i][j-1] * move[j-1] + DP[i][j]*(count - move[j-1])) % MOD
        else:
            DP[i+1][j] = (DP[i][j-1] * move[j-1] + DP[i][j]*(count - move[j] - move[j-1]) + DP[i][j+1]*move[0]) % MOD
print(DP[-1][K-1])

Fixed code:
H,W,K = map(int,input().split())
move= [0]*(W-1)
count = 0
MOD = 10**9+7

if W == 1:
    print(1)
    exit()

for i in range(2**(W-1),2**W):
    b = bin(i)[3:]
    flag = True
    for j in range(W-2):
        if b[j] == '1' and b[j+1] == '1':
            flag = False
    if flag :
        count += 1
        for j in range(W-1):
            move[j] += int(b[j])

DP = [[0]*W for i in range(H+1)]
DP[0][0] = 1
for i in range(H):
    for j in range(W):
        if j == 0:
            DP[i+1][j] = (DP[i][j]*(count - move[0]) + DP[i][j+1]*move[0])%MOD
        elif j == W-1:
            DP[i+1][j] = (DP[i][j-1] * move[j-1] + DP[i][j]*(count - move[j-1])) % MOD
        else:
            DP[i+1][j] = (DP[i][j-1] * move[j-1] + DP[i][j]*(count - move[j] - move[j-1]) + DP[i][j+1]*move[j]) % MOD
print(DP[-1][K-1])
Buggy code:
# coding: UTF-8
import sys
#sys.setrecursionlimit(n)
import heapq
import re
import bisect
import random
import math
import itertools
from collections import defaultdict, deque
from copy import deepcopy
from decimal import *

h, w, k = map(int, input().split())
memo = defaultdict(lambda:defaultdict(int))

def dfs(x, y):
    if y == h:
        if x == k - 1:
            return 1
        else:
            return 0
    if memo[x][y]:
        return memo[x][y]
#    if y in memo[x]:
#        return memo[x][y]

    ans = 0
    for i in range(1 << w - 1):
        flg = True
        for j in range(w - 2):
            if i & (1 << j) and i & (1 << j + 1):
                flg = False
                break
        if flg:
            nx = x
            if x > 0 and i & (1 << x - 1):
                nx = x - 1
            elif i & (1 << x):
                nx = x + 1
            ans += dfs(nx, y + 1)
            ans %= 1000000000 + 7
    memo[x][y] = ans
    return ans
print(dfs(0, 0))


Fixed code:
# coding: UTF-8
import sys
#sys.setrecursionlimit(n)
import heapq
import re
import bisect
import random
import math
import itertools
from collections import defaultdict, deque
from copy import deepcopy
from decimal import *

h, w, k = map(int, input().split())
memo = defaultdict(lambda:defaultdict(int))

def dfs(x, y):
    if y == h:
        if x == k - 1:
            return 1
        else:
            return 0
    if y in memo[x]:
        return memo[x][y]

    ans = 0
    for i in range(1 << w - 1):
        flg = True
        for j in range(w - 2):
            if i & (1 << j) and i & (1 << j + 1):
                flg = False
                break
        if flg:
            nx = x
            if x > 0 and i & (1 << x - 1):
                nx = x - 1
            elif i & (1 << x):
                nx = x + 1
            ans += dfs(nx, y + 1)
            ans %= 1000000000 + 7
    memo[x][y] = ans
    return ans
print(dfs(0, 0))
Buggy code:
H, W, K = map(int, input().split())
mod = 1000000007

draw_line = [0 for _ in range(W)]
draw_line[0] = 1
if W > 1:
    draw_line[1] = 1
for i in range(2, W):
    draw_line[i] = draw_line[i-1] + draw_line[i-1]

dp = [[0 for _ in range(W)] for _ in range(H+1)]
dp[0][0] = 1
for h in range(1, H+1):
    for w in range(W):
        # from left
        if w > 0:
            dp[h][w] += dp[h-1][w-1] * draw_line[w-1] * draw_line[W-w-1]
        # from up
        dp[h][w] += dp[h-1][w] * draw_line[w] * draw_line[W-w-1]
        # from right
        if w < W-1:
            dp[h][w] += dp[h-1][w+1] * draw_line[w] * draw_line[W-w-2]

print(dp[H][K-1]%mod)


Fixed code:
H, W, K = map(int, input().split())
mod = 1000000007

draw_line = [0 for _ in range(W)]
draw_line[0] = 1
if W > 1:
    draw_line[1] = 1
for i in range(2, W):
    draw_line[i] = draw_line[i-1] + draw_line[i-2]

dp = [[0 for _ in range(W)] for _ in range(H+1)]
dp[0][0] = 1
for h in range(1, H+1):
    for w in range(W):
        # from left
        if w > 0:
            dp[h][w] += dp[h-1][w-1] * draw_line[w-1] * draw_line[W-w-1]
        # from up
        dp[h][w] += dp[h-1][w] * draw_line[w] * draw_line[W-w-1]
        # from right
        if w < W-1:
            dp[h][w] += dp[h-1][w+1] * draw_line[w] * draw_line[W-w-2]

print(dp[H][K-1]%mod)
Buggy code:
import sys,collections as cl
Max = sys.maxsize
def l():
	return list(map(int,input().split()))
def m():
	return map(int,input().split())
def s(x):
	a = []
	aa = x[i]
	su = 1
	for i in range(len(x)-1):
		if aa == x[i+1]:
			a.append([aa,su])
			aa = x[i+1]
			su = 1
		else:
			su += 1
	a.append([aa,su])
	return a

h,w,k = m()

a = [1,1,2,3,5,8,13]

l = [[0 for i in range(w+2)] for j in range(h+1)]
l[0][1] = 1

for i in range(h):
	for j in range(w):
		l[i+1][j+1] = (l[i][j]*(a[max(0,j-1)] * a[w - 1 - j]) +l[i][j+1]*(a[j] * a[w - 1 - j]) + l[i][j+2]*(a[j] * a[max(0,w - 2 - j)]))%(10**9+7)
print(l[h][k])

Fixed code:
import sys,collections as cl
Max = sys.maxsize
def l():
	return list(map(int,input().split()))
def m():
	return map(int,input().split())
def s(x):
	a = []
	aa = x[i]
	su = 1
	for i in range(len(x)-1):
		if aa == x[i+1]:
			a.append([aa,su])
			aa = x[i+1]
			su = 1
		else:
			su += 1
	a.append([aa,su])
	return a

h,w,k = m()

a = [1,1]

for i in range(98):
	a.append(a[-1] + a[-2])

l = [[0 for i in range(w+2)] for j in range(h+1)]
l[0][1] = 1

for i in range(h):
	for j in range(w):
		l[i+1][j+1] = (l[i][j]*(a[max(0,j-1)] * a[w - 1 - j]) +l[i][j+1]*(a[j] * a[w - 1 - j]) + l[i][j+2]*(a[j] * a[max(0,w - 2 - j)]))%(10**9+7)
print(l[h][k])
Buggy code:
def valid(x):
    odd_mask = 85    # 01010101
    even_mask = 170  # 10101010
    return (x & odd_mask) >> 1 & (x & even_mask) == 0 and (x & odd_mask) << 1 & (x & even_mask) == 0

def yoko(x):
    a, b, c = 0, 0, 0
    for bit in range(1<<W-1):
        if not valid(bit):
            continue
        if W - x - 1 >= 0 and bit >> (W - x - 1) & 1:
            a += 1
        elif W - x - 2 >= 0 and bit >> (W - x - 2) & 1:
            c += 1
        else:
            b += 1
    return a, b, c

H, W, K = map(int, input().split())

dp = [[0] * W for _ in range(H+1)]
dp[0][0] = 1
BIG = 1000000007

for i in range(H):
    for j in range(W):
        if j <= W-2:
            a, b, c = yoko(j)
        elif j == W-1:
            a, b, c = 0, 1, 0
        if j - 1 >= 0:
            dp[i+1][j-1] += a * dp[i][j]
            dp[i+1][j-1] %= BIG
        dp[i+1][j] += b * dp[i][j]
        dp[i+1][j] %= BIG
        if j + 1 < W:
            dp[i+1][j+1] += c * dp[i][j]
            dp[i+1][j+1] %= BIG
print(dp[H][K-1])

Fixed code:
def valid(x):
    even_mask = 85  # 01010101
    odd_mask = 170  # 10101010
    return (x & odd_mask) >> 1 & (x & even_mask) == 0 and (x & odd_mask) << 1 & (x & even_mask) == 0

def yoko(x):
    a, b, c = 0, 0, 0
    for bit in range(1<<(W-1)):
        if not valid(bit):
            continue
        if bit >> (W - x - 1) & 1:
            a += 1
        elif W - x - 2 >= 0 and bit >> (W - x - 2) & 1:
            c += 1
        else:
            b += 1
    return a, b, c

H, W, K = map(int, input().split())

dp = [[0] * W for _ in range(H+1)]
dp[0][0] = 1
BIG = 1000000007

for i in range(H):
    for j in range(W):
        a, b, c = yoko(j)
        if j - 1 >= 0:
            dp[i+1][j-1] += a * dp[i][j]
            dp[i+1][j-1] %= BIG
        dp[i+1][j] += b * dp[i][j]
        dp[i+1][j] %= BIG
        if j + 1 < W:
            dp[i+1][j+1] += c * dp[i][j]
            dp[i+1][j+1] %= BIG
print(dp[H][K-1])
Buggy code:
H,W,K = map(int,input().split())
dp = []
for i in range(H+1):
  L = [0]*W
  dp.append(L)
fb = [1,1]
for i in range(W-2):
  fb.append(fb[i]+fb[i+1])
dp[0][0] = 1
for i in range(1,H+1):
  for j in range(W):
    if 1 <= j <= W-2:
      dp[i][j] = dp[i-1][j-1]*fb[j-1]*fb[W-j-1]+dp[i-1][j]*fb[j]*fb[W-j-1]+dp[i-1][j+1]*fb[j]*fb[W-j-2]
    elif j == 0:
      dp[i][j] = dp[i-1][j]*fb[W-1]+dp[i-1][j+1]*fb[W-2]
    else:
      dp[i][j] = dp[i-1][j]*fb[W-1]+dp[i-1][j-1]*fb[W-2]
print(dp[H][K-1]%(10**9+7))

Fixed code:
H,W,K = map(int,input().split())
dp = []
for i in range(H+1):
  L = [0]*W
  dp.append(L)
fb = [1,1]
for i in range(W-2):
  fb.append(fb[i]+fb[i+1])
dp[0][0] = 1
if W != 1:
  for i in range(1,H+1):
    for j in range(W):
      if 1 <= j <= W-2:
        dp[i][j] = dp[i-1][j-1]*fb[j-1]*fb[W-j-1]+dp[i-1][j]*fb[j]*fb[W-j-1]+dp[i-1][j+1]*fb[j]*fb[W-j-2]
      elif j == 0:
        dp[i][j] = dp[i-1][j]*fb[W-1]+dp[i-1][j+1]*fb[W-2]
      else:
        dp[i][j] = dp[i-1][j]*fb[W-1]+dp[i-1][j-1]*fb[W-2]
else:
  dp[H][0] = 1
print(dp[H][K-1]%(10**9+7))
Buggy code:
h,w,k=map(int,input().split())
#a(h,x)
p=[-1]*w
p[0]=1
p[1]=2
def pat(x):
    if x<0 or x>=w:
        return 1
    else:
        if p[x]!=-1:
            return p[x]
        else:
            return pat(x-2)+pat(x-1)
        
for j in range(1):
    0
mo=10**9 +7

a=[[0 for i in range(w)] for i in range(h+1)]
a[0]=[1]+[0]*(w-1)
for i in range(1,h+1):
    #a[i][0]=a[i-1][0]*pat(-1)*pat(h-1)+a[i-1][1]*pat(0)*pat(h-2)
    #a[i][w-1]=a[i-1][w-2]*pat(w-3)*pat(h-w+1)+a[i-1][w-1]*pat(w-1-1)*pat(h-w)
    for j in range(0,w):
        if j>0: a[i][j]+=a[i-1][j-1]*pat(j-2)*pat(w-j-2)
        a[i][j]+=a[i-1][j]*pat(j-1)*pat(w-1-j-1)
        if j<w-1: a[i][j]+=a[i-1][j+1]*pat(j-1)*pat(w-j-3)
print(a[h][k-1] % mo)
#print(a)


Fixed code:
h,w,k=map(int,input().split())
#a(h,x)
p=[-1]*(w+1)
p[0]=1
p[1]=2
def pat(x):
    if x<0 or x>=w:
        return 1
    else:
        if p[x]!=-1:
            return p[x]
        else:
            return pat(x-2)+pat(x-1)
        
for j in range(1):
    0
mo=10**9 +7

a=[[0 for i in range(w)] for i in range(h+1)]
a[0]=[1]+[0]*(w-1)
for i in range(1,h+1):
    #a[i][0]=a[i-1][0]*pat(-1)*pat(h-1)+a[i-1][1]*pat(0)*pat(h-2)
    #a[i][w-1]=a[i-1][w-2]*pat(w-3)*pat(h-w+1)+a[i-1][w-1]*pat(w-1-1)*pat(h-w)
    for j in range(0,w):
        if j>0: a[i][j]+=a[i-1][j-1]*pat(j-2)*pat(w-j-2)
        a[i][j]+=a[i-1][j]*pat(j-1)*pat(w-1-j-1)
        if j<w-1: a[i][j]+=a[i-1][j+1]*pat(j-1)*pat(w-j-3)
print(a[h][k-1] % mo)
#print(a)
Buggy code:
H,W,K = tuple(map(int,input().split()))
m = 1000000007
def get (bou_no_kazu):
    ##print("get",bou_no_kazu)
    return 2**(bou_no_kazu-1) / 2

def n(nodes,from_idx,to_idx):
    ret = nodes[from_idx]
    ## print("r",ret)
    if min(from_idx,to_idx) > 1:
        #print("left")
        ret *= get(min(from_idx,to_idx))+1
    if max(from_idx,to_idx) < W-2:
        #print("right")
        ret *= get(W-max(from_idx,to_idx)-1)+1
    return ret
    
prev_node = [1]*1+[0]*(W-1)
next_node = [1]*W
for i in range(H):
    for j in range(W):
        #print(prev_node,next_node)
        next_node[j] = n(prev_node,j,j)
        if j-1 >= 0:
            next_node[j] += n(prev_node,j-1,j)
        if j+1 <= W-1:
            next_node[j] += n(prev_node,j+1,j)
    
    prev_node = [i%m for i in next_node.copy()]
print(int(next_node[K-1]))

Fixed code:
H,W,K = tuple(map(int,input().split()))
m = 1000000007
def get (bou_no_kazu):
    if bou_no_kazu == 2 or bou_no_kazu ==3:
        return bou_no_kazu
    else:
        return get(bou_no_kazu-1) + get(bou_no_kazu-2)

def n(nodes,from_idx,to_idx):
    ret = nodes[from_idx]
    ## print("r",ret)
    if min(from_idx,to_idx) > 1:
        #print("left")
        ret *= get(min(from_idx,to_idx))
    if max(from_idx,to_idx) < W-2:
        #print("right")
        ret *= get(W-max(from_idx,to_idx)-1)
    return ret
    
prev_node = [1]*1+[0]*(W-1)
next_node = [1]*W

for i in range(H):
    for j in range(W):
        #print(prev_node,next_node)
        next_node[j] = n(prev_node,j,j)
        if j-1 >= 0:
            next_node[j] += n(prev_node,j-1,j)
        if j+1 <= W-1:
            next_node[j] += n(prev_node,j+1,j)
    #print(prev_node)
        
    prev_node = [int(i)%m for i in next_node.copy()]
#print(next_node)
print(int(prev_node[K-1]))
Buggy code:
h, w, k = map(int, input().split())
dp = [[0 for _ in range(w)] for _ in range(h+1)]
perm = [1, 2, 3, 5, 8, 13, 21, 34]
for row in range(h+1):
    for col in range(w):
        if row == 0:
            dp[row][col] = int(col == 0)
        else:
            if col > 0:
                dp[row][col] += dp[row-1][col-1] * perm[max(0,col-2)] * perm[max(0, w-col-2)]
            if col < w - 1:
                dp[row][col] += dp[row-1][col+1] * perm[max(0,col-1)] * perm[max(0, w-col-3)]
            dp[row][col] += dp[row-1][col] * perm[max(0,col-1)] * perm[max(0,w-col-2)]
print(dp)


Fixed code:
h, w, k = map(int, input().split())
dp = [[0 for _ in range(w)] for _ in range(h+1)]
perm = [1, 2, 3, 5, 8, 13, 21, 34]
law = 1000000007
for row in range(h+1):
    for col in range(w):
        if row == 0:
            dp[row][col] = int(col == 0)
        else:
            if col > 0:
                dp[row][col] = (dp[row][col] + dp[row-1][col-1] * perm[max(0,col-2)] * perm[max(0, w-col-2)]) % law
            if col < w - 1:
                dp[row][col] = (dp[row][col] + dp[row-1][col+1] * perm[max(0,col-1)] * perm[max(0, w-col-3)]) % law
            dp[row][col] = (dp[row][col] + dp[row-1][col] * perm[max(0,col-1)] * perm[max(0,w-col-2)]) % law
print(dp[h][k-1])
Buggy code:
h,w,k = map(int,input().split())

a=[[0]*w for i in range(h+1)]

fib_memo = {}
def fib(n):
    if n < 3: return 1
    if n not in fib_memo:
        fib_memo[n] = fib(n-1) + fib(n-2)
    return fib_memo[n]
  

for j in range(w):
  a[0][j]=0
a[0][0]=1

for i in range(1,h+1):
  for j in range(w):
    if j==0:
      a[i][j]=a[i-1][j]*fib(w)+a[i-1][j+1]*fib(w-1)
    elif 1<=j<w-1:
      a[i][j]=a[i-1][j-1]*fib(w-j)*fib(j)+a[i-1][j]*fib(w-j)*fib(j+1)+a[i-1][j+1]*fib(w-j-1)*fib(j+1)
    elif j==w-1:
      a[i][j]=a[i-1][j]*fib(w)+a[i-1][j-1]*fib(w-1)
print(a[h][k-1]%1000000007)



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

a=[[0]*w for i in range(h+1)]

fib_memo = {}
def fib(n):
    if n < 3: return 1
    if n not in fib_memo:
        fib_memo[n] = fib(n-1) + fib(n-2)
    return fib_memo[n]
  

for j in range(w):
  a[0][j]=0
a[0][0]=1

for i in range(1,h+1):
  for j in range(w):
    if w==1:
      a[i][j]=a[i-1][j]
    elif j==0:
      a[i][j]=a[i-1][j]*fib(w)+a[i-1][j+1]*fib(w-1)
    elif 1<=j<w-1:
      a[i][j]=a[i-1][j-1]*fib(w-j)*fib(j)+a[i-1][j]*fib(w-j)*fib(j+1)+a[i-1][j+1]*fib(w-j-1)*fib(j+1)
    elif j==w-1:
      a[i][j]=a[i-1][j]*fib(w)+a[i-1][j-1]*fib(w-1)
print(a[h][k-1]%1000000007)