Harryxun/GPT-100-sft-dataset huggingface dataset:
Problem p03160 (python)

Fixed submission:
def frog1(h):
    dp = [float('inf')]*3
    dp[0] = 0
    for i in range(1,len(h)):
        dp[i%3] = min([dp[(i-j)%3] + abs(h[i]-h[i-j]) for j in range(1,3)])
    return dp[(len(h)-1)%3]
    
n = input()
vals = list(map(int, input().split()))

print(frog1(vals))

Buggy submission (verdict: Runtime Error):
def frog1(h):
    dp = [float('inf')]*3
    dp[0] = 0
    for i in range(1,len(h)):
        dp[i%3] = min([dp[(i-j)%3] + abs(h[i]-h[i-j]) for j in range(1,3)])
    return dp[(len(h)-1)%3]
    
n = input()
vals = map(int, input().split())

print(frog1(vals))

Buggy submission (verdict: Runtime Error):
def frog1(h):
    dp = [float('inf')]*3
    dp[0] = 0
    for i in range(1,len(h)):
        dp[i%3] = min([dp[(i-j)%3] + abs(h[i]-h[i-j]) for j in range(1,3)])
    return dp[(len(h)-1)%3]
    
n = input()
vals = map(int, input.split())

print(frog1(vals))

Buggy submission (verdict: Runtime Error):
def frog1(h):
    dp = [float('inf')]*3
    dp[0] = 0
    for i in range(1,len(h)):
        dp[i%3] = min([dp[(i-j)%3] + abs(h[i]-h[i-j]) for j in range(1,3)])
    return dp[(len(h)-1)%3]
    
n = raw_input()
vals = map(int, raw_input.split())

print(frog1(vals))

Buggy submission (verdict: Runtime Error):
def frog1(h):
    dp = [0]*3
    for i in range(len(h)):
        dp[i%3] = min([dp[(i-j)%3] + abs(h[i]-h[i-j]) for j in range(1,3)])
    return dp[len(h)%3]

n = int(raw_input())
h = map(int, raw_input().split()
        
print(frog1(h))
Problem p03160 (python)

Fixed submission:
n= int(input())
h1=list(map(int,input().split()))
dp=[-1 for i in range(n)]
def fun(i):
    if dp[i]!=-1:
        return dp[i]
    if i==n-1:
        best=0
    elif i==n-2:
        best=abs(h1[n-1]-h1[n-2])
    else:
        best=min(fun(i+1)+abs(h1[i+1]-h1[i]),fun(i+2)+abs(h1[i+2]-h1[i]))
    dp[i]=best
    return best
for k in range(n):
    fun(n-1-k)

print(fun(0))

Buggy submission (verdict: Runtime Error):
n,k= map(int,input().split())
h1=list(map(int,input().split()))
if k>=n-1:
    print(abs(h1[0]-h1[n-1]))
else:
    dp=[-1]*n
    dp[n-1]=0
    for y in range(n-k-1,n-1):
       dp[y]=abs(h1[n-1]-h1[y])    
    for u in range(k+1,n):
     i=(n-1-u)
     dp[i]=min([dp[i+h]+abs(h1[i+h]-h1[i]) for h in range(1,k+1)])
    print(dp[0])

Buggy submission (verdict: Runtime Error):
def fun(i):
    if dp[i]!=-1:
        return dp[i]
    if i==n-1:
        best=0
    elif i==n-2:
        best=abs(h1[n-1]-h1[n-2])
    else:
        best=min(fun(i+1)+abs(h1[i+1]-h1[i]),fun(i+2)+abs(h1[i+2]-h1[i]))
    dp[i]=best
    return best
for k in range(n):
    fun(n-1-k)

print(fun(0))

Buggy submission (verdict: Runtime Error):
n= int(input())
h1=list(map(int,input().split()))
dp=[-1 for i in range(n)]

def fun(i):
    if dp[i]!=-1:
        return dp[i]
    if i==n-1:
        best=0
    elif i==n-2:
        best=abs(h1[n-1]-h1[n-2])
    else:
        best=min(fun(i+1)+abs(h1[i+1]-h1[i]),fun(i+2)+abs(h1[i+2]-h1[i]))
    dp[i]=best
    return best

print(fun(0))

Buggy submission (verdict: Runtime Error):
n= int(input())
h1=list(map(int,input().split()))
def fun(i):
    if i==n-1:
        best=0
    elif i==n-2:
        best=abs(h1[n-1]-h1[n-2])
    else:
        best=min(fun(i+1)+abs(h1[i+1]-h1[i]),fun(i+2)+abs(h1[i+2]-h1[i]))
    return best
print(fun(0))
Problem p03160 (python)

Fixed submission:
n=int(input())
z=list(map(int,input().split()))
ans=[0,abs(z[1]-z[0])]

for i in range(2,len(z)):
    ans.append(min(abs(z[i]-z[i-1])+ans[-1],abs(z[i]-z[i-2])+ans[-2]))
print(ans[-1])

Buggy submission (verdict: Runtime Error):
import sys
input=sys.stdin.readline
sys.setrecursionlimit(10**8)
n,k=map(int,input().split())
z=list(map(int,input().split()))
dp=[0 for i in range(len(z))]
vi=[0 for i in range(len(z))]
def dps(i,dp,vi):
    if(i<=0):
        return 0;
    if(vi[i]==1):
        return dp[i];
    
    vi[i]=1
    maxa=98778979878
    for j in range(1,min(i+1,k+1)):
        maxa=min((dps(i-j,dp,vi)+abs(z[i]-z[i-j])),maxa)
    dp[i]=maxa
    return dp[i];
print(dps(len(z)-1,dp,vi))

Buggy submission (verdict: Runtime Error):

n,k=map(int,input().split())
z=list(map(int,input().split()))
r=sum(z)
cost=[(2*r for i in range(len(z)))]
cost[0]=0
for i in range(1,len(z)):
    for t in range(1,min(i+1,k+1)):
        cost[i]=min(cost[i-t]+abs(z[i]-z[i-t]),cost[i])
        
print(cost[-1])
Problem p03162 (python)

Fixed submission:
import sys
input=sys.stdin.readline
a=int(input())
ans=[]
total=0
for i in range(a):
    z=list(map(int,input().split()))
    ans.append(z)
for i in range(a):
    if(i==0):
        t1=ans[0][0]
        t2=ans[0][1]
        t3=ans[0][2]
        
    else:
        x1=t1
        x2=t2
        x3=t3
        t1=max(x2,x3)+ans[i][0]
        t2=max(x1,x3)+ans[i][1]
        t3=max(x1,x2)+ans[i][2]
        
    
print(max(t1,t2,t3))

Buggy submission (verdict: Runtime Error):
import sys
input=sys.stdin.readline
sys.setrecursionlimit(10**8)
n,k=map(int,input().split())
z=list(map(int,input().split()))
dp=[0 for i in range(len(z))]
vi=[0 for i in range(len(z))]
def dps(i,dp,vi):
    if(i<=0):
        return 0;
    if(vi[i]==1):
        return dp[i];
    
    vi[i]=1
    maxa=98778979878
    for j in range(1,min(i+1,k+1)):
        maxa=min((dps(i-j,dp,vi)+abs(z[i]-z[i-j])),maxa)
    dp[i]=maxa
    return dp[i];
print(dps(len(z)-1,dp,vi))
Problem p03160 (python)

Fixed submission:
def rr(): return input().rstrip()
def rri(): return int(rr())
def rrl(): return list(map(int, rr().split()))
def rrt(): return tuple(map(int, rr().split()))
from collections import defaultdict
def mus(d=lambda: 0): return defaultdict(lambda: defaultdict(d))
def dd0(d=lambda: 0): return defaultdict(d)
def ms(x, y, d=0): return [[0]*y for i in range(x)]
def ar(x, d=0): return [d]*x
def ppm(m, n=0, x=0, y=0): print("\n".join(("\t".join((str(m[j][i]) for j in range(y or n))) for i in range(x or n))))
def ppa(a, n): print("\t".join(map(str, a[0:n])))
def ppl(a=0, x=[1]): x[0]=a or (x[0]+1); print("-"+"- -"*14+"-# "+str(x[0]-2)+" #-"+"- -"*14+"-")
def fltn(a): (i for sub in a for i in sub)
def yn(x): return "YES" if x else "NO"
from itertools import accumulate
from itertools import groupby
def grp(x): return ((i, sum(1 for _ in g)) for i, g in groupby(x))
import math
#def rnar(): return (*rrl(), rrl())
#def rn(): return (*rrl(),)
def dpp(a, b=""): print("[{}]o[{}]".format(a, b))

def read():
    return (rri(), rrl())
    return (0,)

def solve(n, arr):
    dp = ar(n)
    dp[0] = 0
    dp[1] = abs(arr[1]-arr[0])
    for i in range(2, n):
        dp[i] = min(dp[i-1] + abs(arr[i-1]-arr[i]), dp[i-2] + abs(arr[i-2]-arr[i]))

    ans = dp[-1]
    return ans

if __name__ == "__main__":
    #test_count = rri()
    test_count = 1
    for _ in range(test_count):
        input_data = read()
        result = solve(*input_data)
        print(result)

Buggy submission (verdict: Runtime Error):
	def rr(): return input().rstrip()
def rri(): return int(rr())
def rrl(): return list(map(int, rr().split()))
def rrt(): return tuple(map(int, rr().split()))
from collections import defaultdict
def mus(d=lambda: 0): return defaultdict(lambda: defaultdict(d))
def dd0(d=lambda: 0): return defaultdict(d)
def ms(x, y, d=0): return [[0]*y for i in range(x)]
def ar(x, d=0): return [d]*x
def ppm(m, n=0, x=0, y=0): print("\n".join(("\t".join((str(m[j][i]) for j in range(y or n))) for i in range(x or n))))
def ppa(a, n): print("\t".join(map(str, a[0:n])))
def ppl(a=0, x=[1]): x[0]=a or (x[0]+1); print("-"+"- -"*14+"-# "+str(x[0]-2)+" #-"+"- -"*14+"-")
def fltn(a): (i for sub in a for i in sub)
def yn(x): return "YES" if x else "NO"
from itertools import accumulate
from itertools import groupby
def grp(x): return ((i, sum(1 for _ in g)) for i, g in groupby(x))
import math
def rnar(): return (*rrl(), rrl())
def rn(): return (*rrl(),)
def dpp(a, b=""): print("[{}]o[{}]".format(a, b))

def read():
    return rnar()
    return (0,)

def solve(n, arr):
    dp = ar(n)
    dp[0] = 0
    dp[1] = abs(arr[1]-arr[0])
    for i in range(2, n):
        dp[i] = min(dp[i-1] + abs(arr[i-1]-arr[i]), dp[i-2] + abs(arr[i-2]-arr[i]))

    ans = dp[-1]
    return ans

if __name__ == "__main__":
    #test_count = rri()
    test_count = 1
    for _ in range(test_count):
        input_data = read()
        result = solve(*input_data)
        print(result)
Problem p03161 (python)

Fixed submission:
n, k = map(int, input().split())
hs = list(map(int, input().split()))
dp = [float('inf')] * n
dp[0] = 0
for i in range(1, n):
  pre = min(i, k)
  while pre > 0:
    dp[i] = min(dp[i], dp[i-pre] + abs(hs[i-pre] - hs[i]))
    pre -= 1
print(dp[-1])

Buggy submission (verdict: Runtime Error):
n, k = map(int, input().split())
hs = list(map(int, input().split()))
dp = [0] * float('inf')
dp[0] = 0
for i in range(1, n):
  pre = min(i, k)
  while pre > 0:
    dp[i] = min(dp[i], dp[i-pre] + abs(hs[i-pre] - hs[i]))
    pre -= 1
print(dp[-1])

Buggy submission (verdict: Runtime Error):
n, k = [int(c) for c in input().split()]
hs = [int(c) for c in input().split()]
dp = [0] * n
for i in range(1, n):
  dp[i] = 0
  pre = min(i, k)
  while pre > 0:
   	dp[i] = min(dp[i], dp[i-pre] + abs(hs[i-pre] - hs[i]))
    pre -= 1
print(dp[-1])
Problem p03160 (python)

Fixed submission:
from functools import lru_cache
import sys
sys.setrecursionlimit(20000000)
N = int(input())
heights = [int(h) for h in input().split()]


# heights = [10, 30, 40, 20]

# heights = [10, 10]
# heights = [30, 10, 60, 10, 60, 50]
# 记忆化
@lru_cache(None)
def dfs(i):
    if i == len(heights) - 1:
        return 0
    return min(abs(heights[i] - heights[i + 1]) + dfs(i + 1) if i + 1 < len(heights) else float("inf"),

               abs(heights[i] - heights[i + 2]) + dfs(i + 2) if i + 2 < len(heights) else float("inf"))


print(dfs(0))

Buggy submission (verdict: Runtime Error):
from functools import lru_cache

N = int(input())
heights = [int(h) for h in input().split()]

# 记忆化
@lru_cache(None)
def dfs(i):
    if i == len(heights) - 1:
        return 0
    return min(abs(heights[i] - heights[i + 1]) + dfs(i + 1) if i + 1 < len(heights) else float("inf"),

               abs(heights[i] - heights[i + 2]) + dfs(i + 2) if i + 2 < len(heights) else float("inf"))


print(dfs(0))

Buggy submission (verdict: Runtime Error):
from functools import lru_cache
N = int(input())
heights = [int(h) for h in input().split()]

# 记忆化
@lru_cache(None)
def dfs(i):
    if i == len(heights) - 1:
        return 0
    if i >= len(heights):
        return float("inf")

    return min(abs(heights[i] - heights[i + 1]) + dfs(i + 1) if i + 1 < len(heights) else float("inf"),

               abs(heights[i] - heights[i + 2]) + dfs(i + 2) if i + 2 < len(heights) else float("inf"))

print(dfs(0))
Problem p03161 (python)

Fixed submission:
n, k = [int(i) for i in input().split()]
h = [int(i) for i in input().split()]
 
def frog(n, k, h):
    d = [float('inf')] * n
    d[0] = 0
 
    for i in range(1, n):
        d[i] = min(
            d[j] + abs(h[i] - h[j]) for j in range(max(i - k, 0), i)
        )
    return d[n - 1]
 
 
print(frog(n, k, h))

Buggy submission (verdict: Runtime Error):
import sys
from functools import lru_cache
sys.setrecursionlimit(20000000)
N, K = map(int, input().split())
heights = [int(h) for h in input().split()]


@lru_cache(None)
def dfs(i):
    if i == len(heights) - 1:
        return 0
    res = float("inf")
    for k in range(1, K + 1):
        if i + k < len(heights):
            res = min(res, abs(heights[i] - heights[i + k]) + dfs(i + k))
    return res


def helper():
    dp = [float(inf)] * len(heights)
    dp[0] = 0
    for i in range(1, len(heights)):
        dp[i] = min(dp[i],
                    min(dp[j] + abs(heights[j] - heights[i] for j in range(max(i - K, 0), i))))

    return dp[-1]


# print(dfs(0))
print(helper())
Problem p03163 (python)

Fixed submission:
import numpy as np

N, weights = map(int, input().split())

# dp = [0] * (weights + 1)
dp = np.zeros(weights + 1, dtype=np.int64)

while N:
    w, v = map(int, input().split())
    np.maximum(dp[:-w] + v, dp[w:], out=dp[w:])
    # for i in range(weights, -1, -1):
    #     if i - w >= 0:
    #         dp[i] = max(dp[i], dp[i - w] + v)
    # print(dp)
    N -= 1
print(dp[-1])

Buggy submission (verdict: Runtime Error):
N, W = map(int, input().split())
goods = []
for _ in range(N):
    goods.append(list(map(int, input().split())))

dp = [[0] * (W + 1) for _ in range(N + 1)]

for i in range(1, N + 1):
    for j in range(goods[i][0], W + 1):
        if j - goods[i - 1][0] >= 0:
            dp[i][j] = max(dp[i - 1][j - 1], dp[i - 1][j - goods[i - 1][0]] + goods[i - 1][1])
        else:
            dp[i][j] = dp[i - 1][j]
# print(dp)
print(dp[-1][-1])
Problem p03160 (python)

Fixed submission:
n = int(input())
nums = list(map(int, input().split()))
if n == 1:
  print(0)
dp = [0 for _ in range(n)]
dp[0] = 0
dp[1] = abs(nums[1]-nums[0])

for i in range(2, n):
  dp[i] = min(dp[i-1] + abs(nums[i] - nums[i-1]), dp[i-2]+abs(nums[i]-nums[i-2]))

print(dp[-1])

Buggy submission (verdict: Runtime Error):
n, nums = input().split()
print(n, nums)
Problem p03163 (python)

Fixed submission:
n, w = list(map(int, input().split()))
nums = []
for _ in range(n):
  nums.append(list(map(int, input().split())))
  
dp = [[0 for _ in range(w+1)] for _ in range(n+1)]

for i in range(1, n+1):
  for j in range(1, w+1):
    if j < nums[i-1][0]:
      dp[i][j] = dp[i-1][j]
    else:
      dp[i][j] = max(dp[i-1][j], dp[i-1][j-nums[i-1][0]] + nums[i-1][1])
print(dp[-1][-1])

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

dp = [[0 for _ in range(w+1)] for _ in range(1, n)]

for i in range(1, n):
  for j in range(1, w+1):
    if j >= nums[i-1][1]:
      dp[i][j] = max(dp[i][j], dp[i-1][j-nums[i-1][1]] + nums[i-1][0])
    else:
      dp[i][j] = max(dp[i][j], dp[i-1][j])
print(max(dp[-1][-1]))
Problem p03164 (python)

Fixed submission:
n, w = map(int, input().split())
nums = []
for _ in range(n):
  nums.append(list(map(int, input().split())))
  
total_v = sum(nums[i][1] for i in range(n))

dp = [[float('inf') for _ in range(total_v+1)] for _ in range(n+1)]
dp[0][0] = 0

for i in range(1, n+1):
  for j in range(total_v+1):
    if j < nums[i-1][1]:
      dp[i][j] = dp[i-1][j]
    else:
      dp[i][j] = min(dp[i-1][j], dp[i-1][j-nums[i-1][1]] + nums[i-1][0])
for i in range(total_v, -1, -1):
  if dp[n][i] != float('inf') and dp[n][i] <= w:
    print(i)
    break

Buggy submission (verdict: Runtime Error):
N, W = map(int, input().split())
w, v = [0]*N, [0]*N
total_v = 0
for _ in range(N):
  w[i], v[i] = map(int, input().split())
  total_v += v[i]

dp = [[float('inf') for _ in range(total_v+1)] for _ in range(N+1)]
dp[0][0] = 0

for i in range(1, N+1):
  for j in range(1, total_v+1):
    if j < v[i-1]:
      dp[i][j] = dp[i-1][j]
    else:
      dp[i][j] = min(dp[i-1][j], dp[i-1][j-v[i-1]] + w[i-1])
for i in range(total_v, -1, -1):
  if dp[-1][i] <= W:
    print(i)
    break

Buggy submission (verdict: Runtime Error):
N, W = map(int, input().split())
w, v = [0]*N, [0]*N
total_v = 0
for _ in range(N):
  w[i], v[i] = map(int, input().split())
  total_v += v[i]

dp = [[float('inf') for _ in range(total_v+1)] for _ in range(N+1)]
dp[0][0] = 0

for i in range(1, N+1):
  for j in range(1, total_v+1):
    if j < v[i-1]:
      dp[i][j] = dp[i-1][v]
    else:
      dp[i][j] = min(dp[i-1][j], dp[i-1][j-v[i-1]] + w[i-1])
for i in range(total_v, -1, -1):
  if dp[-1][i] <= W:
    print(i)
    break

Buggy submission (verdict: Runtime Error):
n, w = map(int, input().split())
nums = [list(map(int, input().split())) for _ in range(n)]

total_v = sum(nums[i][1] for i in range(n))
dp = [[float('inf') for _ in range(total_v+1)] for _ in range(n)]
dp[0][0] = 0

for i in range(1, n+1):
  for j in range(total_v+1):
    if j < nums[i-1][1]:
      dp[i][j] = dp[i-1][j]
    else:
      dp[i][j] = min(dp[i-1][j], dp[i-1][j-nums[i-1][1]] + nums[i-1][0])
for i in range(total_v, -1, -1):
  if dp[n][i] != float('inf') and dp[n][i] <= w:
    print(i)
    break

Buggy submission (verdict: Runtime Error):
n, w = map(int, input().split())
nums = [list(map(int, input().split())) for _ in range(n)]

total_v = sum(nums[1])
dp = [[float('inf') for _ in range(total_v+1)] for _ in range(n)]
dp[0][0] = 0

for i in range(1, n+1):
  for j in range(total_v+1):
    if j < nums[i-1][1]:
      dp[i][j] = dp[i-1][j]
    else:
      dp[i][j] = min(dp[i-1][j], dp[i-1][j-nums[i-1][1]] + nums[i-1][0])
for i in range(total_v, -1, -1):
  if dp[-1][i] <= w:
    print(i)
    break
Problem p03165 (python)

Fixed submission:
s = input()
t = input()
m, n = len(s), len(t)
dp = [[0 for _ in range(n+1)] for _ in range(m+1)]

for i in range(1, m+1):
  for j in range(1, n+1):
    if s[i-1] == t[j-1]:
      dp[i][j] = dp[i-1][j-1] + 1
    else:
      dp[i][j] = max(dp[i-1][j], dp[i][j-1])

res = ''
i, j = m, n
while i > 0 and j > 0:
  if dp[i][j] == dp[i-1][j]:
    i -= 1
  elif dp[i][j] == dp[i][j-1]:
    j -= 1
  else:
    i -= 1
    j -= 1
    res = s[i] + res
print(res)

Buggy submission (verdict: Runtime Error):
s = input()
t = input()
m, n = len(s), len(t)
dp = [[0 for _ in range(n+1)] for _ in range(m+1)]

for i in range(1, m+1):
  for j in range(1, n+1):
    if s[i-1] == t[j-1]:
      dp[i][j] = d[i-1][j-1] + 1
    else:
      dp[i][j] = max(dp[i-1][j], dp[i][j-1])

res = ''
i, j = m, n
while i > 0 and j > 0:
  if dp[i][j] == dp[i-1][j]:
    i -= 1
  elif dp[i][j] == dp[i][j-1]:
    j -= 1
  else:
    i -= 1
    j -= 1
    res = s[i] + res
print(res)

Buggy submission (verdict: Runtime Error):
s = input()
t = input()
m, n = len(s), len(t)
dp = [[0 for _ in range(n+1)] for _ in range(m+1)]

for i in range(1, m+1):
  for j in range(1, n+1):
    if s[i] == t[j]:
      dp[i][j] = d[i-1][j-1] + 1
    else:
      dp[i][j] = max(dp[i-1][j], dp[i][j-1])

res = ''
i, j = m, n
while i > 0 and j > 0:
  if dp[i][j] == dp[i-1][j]:
    i -= 1
  elif dp[i][j] == dp[i][j-1]:
    j -= 1
  else:
    i -= 1
    j -= 1
    res += s[i]
print(res[::-1])
Problem p03168 (python)

Fixed submission:
n = int(input())
p = list(map(float, input().split()))

dp = [[0 for _ in range(n+1)] for _ in range(n+1)]

dp[0][0] = 1

for i in range(1, n+1):
  dp[i][0] = dp[i-1][0] * (1-p[i-1])
  
for i in range(1, n+1):
  for j in range(1, i+1):
    dp[i][j] = dp[i-1][j] * (1-p[i-1]) + dp[i-1][j-1] * p[i-1]
    
print(sum(dp[-1][(n+1)//2:]))

Buggy submission (verdict: Runtime Error):
n = int(input())
p = list(map(float, input().split()))

def dfs(cur, n, p, cnt, res, memo):
  if cur == n:
    if cnt > 0:
      return res
    return 0
  if (cur, cnt, res) in memo:
    return memo[(cur, cnt, res)]
  r = dfs(cur+1, n, p, cnt+1, res*p[cur], memo) + dfs(cur+1, n, p, cnt-1, res*(1-p[cur]), memo)
  memo[(cur, cnt, res)] = r
  return memo[(cur, cnt, res)]

print(dfs(0, n, p, 0, 1, {}))
Problem p03170 (python)

Fixed submission:
n, k = map(int, input().split())
stones = list(map(int, input().split()))

dp = [False for _ in range(k+1)]

for i in range(1, k+1):
  for j in stones:
    if i >= j and dp[i-j] == False:
      dp[i] = True
      continue
      
if dp[k]:
  print("First")
else:
  print("Second")

Buggy submission (verdict: Runtime Error):
n, k = map(int, input().split())
stones = list(map(int, input.split()))

dp = [False for _ in range(k+1)]

for i in range(k+1):
  for j in stones:
    if i >= j and dp[i-j] == False:
      dp[i] = True
      continue
      
if dp[k]:
  print('First')
else:
  print('Second')

Buggy submission (verdict: Runtime Error):
n, k = map(int, input().split())
stones = list(map(int, input.split()))

dp = [False for _ in range(k+1)]

for i in range(1, k+1):
  for j in stones:
    if i >= j and dp[i-j] == False:
      dp[i] = True
      continue
      
if dp[k]:
  print('First')
else:
  print('Second')
Problem p03160 (python)

Fixed submission:

from functools import lru_cache
import sys
sys.setrecursionlimit(10**9)
n = int(input())
arr = [int(i) for i in input().strip().split()]

@lru_cache(None)
def cal(i):
    if i>=n-1:
        return 0
    else:
        if i==n-2:
            return cal(i+1)+abs(arr[i]-arr[i+1])

        return min(cal(i+1)+abs(arr[i]-arr[i+1]),cal(i+2)+abs(arr[i]-arr[i+2]))

print(cal(0))

Buggy submission (verdict: Runtime Error):
import sys
sys.setrecursionlimit(10**9)
n , k = [int(i) for i in input().strip().split()]
arr = [int(i) for i in input().strip().split()]
dp = [-1]*(10**5+3)
def cal(i):
    if i>=n-1:
        return 0
 
    elif dp[i]==-1:
        m=10**9
        for j in range(i+1,min(n,i+k+1)):
            m=min(m,cal(j)+abs(arr[j]-arr[i]))
        dp[i]=m
    return dp[i]

Buggy submission (verdict: Runtime Error):

from functools import lru_cache
n = int(input())
arr = [int(i) for i in input().strip().split()]

@lru_cache(None)
def cal(i):
    if i>=n-1:
        return 0
    else:
        if i==n-2:
            return cal(i+1)+abs(arr[i]-arr[i+1])

        return min(cal(i+1)+abs(arr[i]-arr[i+1]),cal(i+2)+abs(arr[i]-arr[i+2]))

print(cal(0))
Problem p03828 (python)

Fixed submission:
import math
import collections
import functools


def solve():
    N = int(input())
    P = 10**9+7

    if N == 1:
        return 1

    fn = math.factorial(N)

    divisors = prime_factorize(fn)

    c = collections.Counter(divisors)

    ans = functools.reduce(lambda x, y: x * y, map(lambda x: x + 1, c.values()))

    return ans % P


def prime_factorize(n):
    res = []
    while n % 2 == 0:
        res.append(2)
        n //= 2
    f = 3
    while f * f <= n:
        if n % f == 0:
            res.append(f)
            n //= f
        else:
            f += 2
    if n != 1:
        res.append(n)
    return res


if __name__ == '__main__':
    res = solve()
    print(res)

Buggy submission (verdict: Runtime Error):
import math
import collections
import functools

def solve():
    N = int(input())
    P = 10**9+7

    fn = math.factorial(N)

    c = collections.Counter(prime_factorize(fn))
    
    ans = functools.reduce(lambda x, y: x * y, map(lambda x: x + 1, c.values()))

    return ans % P


def prime_factorize(n):
    res = []
    while n % 2 == 0:
        res.append(2)
        n //= 2
    f = 3
    while f * f <= n:
        if n % f == 0:
            res.append(f)
            n //= f
        else:
            f += 2
    if n != 1:
        res.append(n)
    return res


if __name__ == '__main__':
    res = solve()
    print(res)
Problem p03854 (python)

Fixed submission:
import sys
sys.setrecursionlimit(10 ** 6)


def solve():
    S = input()
    # print(S, len(S))

    words = {0: "dream", 1: "dreamer", 2: "erase", 3: "eraser"}

    TABLE = [[-1 for x in range(len(S) + 1)] for y in range(len(words) + 1)]

    def recur(i, w):
        if not TABLE[w][i] == -1:
            return TABLE[w][i]

        if i >= len(S):
            # print("jey", log)
            return True

        r1, r2, r3, r4 = False, False, False, False
        if S[i:i + 5] == words[0]:
            r1 = recur(i + 5, 0)
        if S[i:i + 7] == words[1]:
            r2 = recur(i + 7, 1)
        if S[i:i + 5] == words[2]:
            r3 = recur(i + 5, 2)
        if S[i:i + 6] == words[3]:
            r4 = recur(i + 6, 3)

        TABLE[w][i] = r1 or r2 or r3 or r4 or False

        return TABLE[w][i]

    ans = recur(0, 0)

    return ans


if __name__ == '__main__':
    res = solve()
    if res:
        print("YES")
    else:
        print("NO")

Buggy submission (verdict: Runtime Error):
def solve():
    S = input()
    # print(S, len(S))

    S = S[::-1]
    words = ("dream"[::-1], "dreamer"[::-1], "erase"[::-1], "eraser"[::-1])

    def recur(i):
        if i >= len(S):
            return True

        for word in words:
            if S[i:i + len(word)] == word:
                if recur(i + len(word)):
                    return True
        return False

    ans = recur(0)

    return ans


if __name__ == '__main__':
    res = solve()
    if res:
        print("YES")
    else:
        print("NO")