Harryxun/testdata huggingface dataset:
Buggy python submission (verdict: Runtime Error):
N = int(input())
A = list(map(int, input().split()))
Q = int(input())

B = []
C = []

l = {}

for i in range(Q):
    b, c = list(map(int, input().split()))

    B.append(b)
    C.append(c)

res = 0
for i in A:
    if i in l:
        l[i] += 1
    else:
        l[i] = 1

    res += i

t = 0
for i in range(Q):
    t = l[B[i]]

    res += (C[i] - B[i]) * t

    l[B[i]] = 0
    l[C[i]] += t

    print(res)

Fixed submission:
N = int(input())
A = list(map(int, input().split()))
Q = int(input())

B = []
C = []

l = {}

for i in range(Q):
    b, c = list(map(int, input().split()))

    B.append(b)
    C.append(c)

res = 0
for i in A:
    if i in l:
        l[i] += 1
    else:
        l[i] = 1

    res += i

t = 0
for i in range(Q):
    if B[i] in l:
        t = l[B[i]]


        res += (C[i] - B[i]) * t

        l[B[i]] = 0
        if C[i] in l:
            l[C[i]] += t
        else:
            l[C[i]] = t

    print(res)

Buggy python submission (verdict: Runtime Error):
N = int(input())
A = list(map(int, input().split()))
Q = int(input())

B = []
C = []

l = []

for i in range(Q):
    b, c = list(map(int, input().split()))

    B.append(b)
    C.append(c)

t = 0

for i in A:
    if i > t:
        t = i

for i in range(t + 1):
    l.append(i)
    l[i] = 0

for i in A:
    l[i] = l[i] + 1

for i in range(Q):
    t = l[B[i]]
    l[B[i]] -= t
    l[C[i]] += t

    res = 0
    for num in range(len(l)):
        res += num * l[num]

    print(res)

Fixed submission:
N = int(input())
A = list(map(int, input().split()))
Q = int(input())

B = []
C = []

l = {}

for i in range(Q):
    b, c = list(map(int, input().split()))

    B.append(b)
    C.append(c)

res = 0
for i in A:
    if i in l:
        l[i] += 1
    else:
        l[i] = 1

    res += i

t = 0
for i in range(Q):
    if B[i] in l:
        t = l[B[i]]


        res += (C[i] - B[i]) * t

        l[B[i]] = 0
        if C[i] in l:
            l[C[i]] += t
        else:
            l[C[i]] = t

    print(res)
Buggy python submission (verdict: Runtime Error):
A, V = map(int, input().split())
B, W = map(int, input().split())
T = int(input())

lange = abs(A - B)
s = V - W

res = 0

if s > 0:
    tmp = lange / s
    if tmp.float.is_integer() and tmp <= T:
        res = 1

if (res == 0):
    print("NO")
else:
    print("YES")

Fixed submission:
A, V = map(int, input().split())
B, W = map(int, input().split())
T = int(input())

lange = abs(B - A)
s = V - W

res = 0

if s != 0:
    tmp = lange / s
    if tmp <= T and tmp >= 0:
        res = 1

if (res == 0):
    print("NO")
else:
    print("YES")

Buggy python submission (verdict: Runtime Error):
A, V = map(int, input().split())
B, W = map(int, input().split())
T = map(int, input().split())

lange = abs(A - B)
s = V - W

res = 0

if (s > 0):
    if (lange / s >= T):
        res = 1


if (res == 0):
    print("NO")
else:
    print("YES")

Fixed submission:
A, V = map(int, input().split())
B, W = map(int, input().split())
T = int(input())

lange = abs(B - A)
s = V - W

res = 0

if s != 0:
    tmp = lange / s
    if tmp <= T and tmp >= 0:
        res = 1

if (res == 0):
    print("NO")
else:
    print("YES")
Buggy python submission (verdict: Time Limit Exceeded):
n = int(input())

res = 1

a = list(map(int, input().split()))

for i in a:
    res *= i
    
    if (res > 1000000000000000000):
        res = -1
        

if res == -1:
    for i in a:
        if a == 0:
            res = 0
            break

print(res)

Fixed submission:
n = int(input())

res = 1

a = list(map(int, input().split()))

for i in a:
    res *= i
    
    if (res > 1000000000000000000):
        res = -1
        break
        

if res == -1:
    for i in a:
        if i == 0:
            res = 0
            break

print(res)

Buggy python submission (verdict: Time Limit Exceeded):
n = int(input())

res = 1

a = list(map(int, input().split()))

for i in range(n):
    res *= a[i]


if (res > 1000000000000000000):
    res = -1

print(res)

Fixed submission:
n = int(input())

res = 1

a = list(map(int, input().split()))

for i in a:
    res *= i
    
    if (res > 1000000000000000000):
        res = -1
        break
        

if res == -1:
    for i in a:
        if i == 0:
            res = 0
            break

print(res)
Buggy python submission (verdict: Time Limit Exceeded):
import math

N = int(input())
A = list(map(int, input().split()))

dic = {}
for a in A:
    if not a in dic:
        dic[a] = 1
    else:
        dic[a] += 1

ansdic = {}

for a in dic:
    ans = 0
    for aa in dic:
        if a == aa:
            t = dic[aa] - 1
        else:
            t = dic[aa]

        if t > 1:
            ans += t * (t - 1) // 2
        
    ansdic[a] = ans

for a in A:
    print(ansdic[a])

Fixed submission:
import math

N = int(input())
A = list(map(int, input().split()))

dic = {}
for a in A:
    if not a in dic:
        dic[a] = 1
    else:
        dic[a] += 1

ans = 0
for a in dic:
    if dic[a] > 1:
         ans += dic[a] * (dic[a] - 1) // 2

ansdic = {}

for a in dic:
    ansdic[a] = ans
    if dic[a] > 1:
        ansdic[a] = ans - (dic[a] - 1)

for a in A:
    print(ansdic[a])

Buggy python submission (verdict: Time Limit Exceeded):
import math

N = int(input())
A = list(map(int, input().split()))

dic = {}
for a in A:
    if not a in dic:
        dic[a] = 1
    else:
        dic[a] += 1

ansdic = {}

for a in dic:
    ans = 0
    for aa in dic:
        if a == aa:
            t = dic[aa] - 1
        else:
            t = dic[aa]

        if t > 1:
            ans += t * (t - 1) // 2
        
    ansdic[a] = ans

for a in A:
    print(ansdic[a])

Fixed submission:
import math

N = int(input())
A = list(map(int, input().split()))

dic = {}
for a in A:
    if not a in dic:
        dic[a] = 1
    else:
        dic[a] += 1

ans = 0
for a in dic:
    if dic[a] > 1:
         ans += dic[a] * (dic[a] - 1) // 2

ansdic = {}

for a in dic:
    ansdic[a] = ans
    if dic[a] > 1:
        ansdic[a] = ans - (dic[a] - 1)

for a in A:
    print(ansdic[a])
Buggy python submission (verdict: Time Limit Exceeded):
N, K = map(int, input().split())
P = list(map(int, input().split()))

ans = 0

for i in range(N - K + 1):
    ans = max(ans, sum(P[i: i + K]))
    
print((ans + K) / 2)


Fixed submission:
N, K = map(int, input().split())
P = list(map(int, input().split()))

a = [0] * (N - K + 1)
a[0] = sum(P[:K])
for i in range(1, N - K + 1):
    a[i] = a[i - 1] - P[i - 1] + P[i + K - 1]
    
print((max(a) + K) / 2)

Buggy python submission (verdict: Time Limit Exceeded):
N, K = map(int, input().split())
P = list(map(int, input().split()))

p = [0] * N

for i in range(N):
    p[i] = (P[i] + 1) / 2

ans = 0

for i in range(N - K + 1):
    ans = max(ans, sum(p[i: i + K]))
    
print(ans)

Fixed submission:
N, K = map(int, input().split())
P = list(map(int, input().split()))

a = [0] * (N - K + 1)
a[0] = sum(P[:K])
for i in range(1, N - K + 1):
    a[i] = a[i - 1] - P[i - 1] + P[i + K - 1]
    
print((max(a) + K) / 2)

Buggy python submission (verdict: Time Limit Exceeded):
N, K = map(int, input().split())
P = list(map(int, input().split()))

p = [0] * N

for i in range(N):
    p[i] = (P[i] + 1) / 2

ans = 0

for i in range(N - K + 1):
    ans = max(ans, sum(p[i: i + K]))
    
print(ans)

Fixed submission:
N, K = map(int, input().split())
P = list(map(int, input().split()))

a = [0] * (N - K + 1)
a[0] = sum(P[:K])
for i in range(1, N - K + 1):
    a[i] = a[i - 1] - P[i - 1] + P[i + K - 1]
    
print((max(a) + K) / 2)
Buggy python submission (verdict: Time Limit Exceeded):
#!/usr/bin/env python3

#import
import math
#import numpy as np
N = int(input())
L = list(map(int, input().split()))

L.sort()

def is_ok(arg, cmin, cmax):
    return L[arg] > cmin and L[arg] < cmax

def meguru_bisect(ok, ng, cmin, cmax):
    while abs(ok - ng) > 1:
        mid = (ok + ng) // 2
        if is_ok(mid, cmin, cmax):
            ok = mid
        else:
            ng = mid
    return ok

ans = 0

for i in range(N - 2):
    for j in range(i + 1, N - 1):
        a = L[i]
        b = L[j]
        cmin = b - a
        cmax = a + b
        t = meguru_bisect(j, N, cmin, cmax)
        ans += t - j

print(ans)

Fixed submission:
#!/usr/bin/env python3

#import
import math
#import numpy as np
N = int(input())
L = list(map(int, input().split()))

L.sort()

def is_ok(arg, cmin, cmax):
    return L[arg] > cmin and L[arg] < cmax

def meguru_bisect(ok, ng, cmin, cmax):
    while abs(ok - ng) > 1:
        mid = (ok + ng) // 2
        if is_ok(mid, cmin, cmax):
            ok = mid
        else:
            ng = mid
    return ok

ans = 0

for i in range(N - 2):
    for j in range(i + 1, N - 1):
        a = L[i]
        b = L[j]
        cmin = b - a
        cmax = a + b
        t = meguru_bisect(j, N, cmin, cmax)
        ans += t - j

print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
R, G, B, N = map(int, input().split())

ans = 0

for r in range(N // R + 1):
    for g in range(N // G + 1):
        if (N - r * R - g * G) % B == 0 and r * R + g * G <= N:
            ans += 1

print(ans)



Fixed submission:
R, G, B, N = map(int, input().split())

ans = 0

for r in range(N // R + 1):
    for g in range(N // G + 1):
        if (N - r * R - g * G) % B == 0 and r * R + g * G <= N:
            ans += 1

print(ans)
Buggy python submission (verdict: Runtime Error):
S = input()

key = "keyence"

t = -1

for i in range(7):
    if not S[i] == key[i]:
        t = i
        break

ans = True

if t:
    for i in range(1, 7 - t + 1):
        if not S[-i] == key[-i]:
            ans = False
            break

if ans:
    print("YES")
else:
    print("NO")



Fixed submission:
S = input()

key = "keyence"

t = -1

for i in range(7):
    if not S[i] == key[i]:
        t = i
        break

if t == -1:
    t = 7

for i in range(1, 8):
    if not S[-i] == key[-i]:
        t += i - 1
        break

if t >= 7:
    print("YES")
else:
    print("NO")
Buggy python submission (verdict: Time Limit Exceeded):
#import
#import math
#import numpy as np
#= int(input())
#= input()
N, K = map(int, input().split())
h = list(map(int, input().split()))
#= [input(), input()]

dp = [0] * N

dp[1] = abs(h[1] - h[0])

for i in range(2, N):
    t = [dp[i - 1] + abs(h[i] - h[i - 1])]
    for j in range(2, min(K + 1, i + 1)):
        tt = dp[i - j] + abs(h[i] - h[i - j])
        t.append(tt)

    dp[i] = min(t)

print(dp[-1])

Fixed submission:
#import
#import math
#import numpy as np
#= int(input())
#= input()
N, K = map(int, input().split())
h = list(map(int, input().split()))
#= [input(), input()]

dp = [0] * N

dp[1] = abs(h[1] - h[0])

for i in range(2, N):
    t = dp[i - 1] + abs(h[i] - h[i - 1])
    for j in range(2, min(K + 1, i + 1)):
        tt = dp[i - j] + abs(h[i] - h[i - j])
        t = min(t, tt)

    dp[i] = t

print(dp[-1])

Buggy python submission (verdict: Time Limit Exceeded):
#import
#import math
#import numpy as np
#= int(input())
#= input()
N, K = map(int, input().split())
h = list(map(int, input().split()))
#= [input(), input()]

dp = [0] * N

dp[1] = abs(h[1] - h[0])

for i in range(2, N):
    t = dp[i - 1] + abs(h[i] - h[i - 1])
    for j in range(2, min(K + 1, i + 1)):
        tt = dp[i - j] + abs(h[i] - h[i - j])
        t = min(t, tt)

    dp[i] = t

print(dp[-1])
        

Fixed submission:
#import
#import math
#import numpy as np
#= int(input())
#= input()
N, K = map(int, input().split())
h = list(map(int, input().split()))
#= [input(), input()]

dp = [0] * N

dp[1] = abs(h[1] - h[0])

for i in range(2, N):
    t = dp[i - 1] + abs(h[i] - h[i - 1])
    for j in range(2, min(K + 1, i + 1)):
        tt = dp[i - j] + abs(h[i] - h[i - j])
        t = min(t, tt)

    dp[i] = t

print(dp[-1])
Buggy python submission (verdict: Time Limit Exceeded):
#import
#import math
#import numpy as np
#= int(input())
#= input()
N, W = map(int, input().split())
#= list(map(int, input().split()))
#= [input(), input()]

x = [list(map(int, input().split())) for _ in range(N)]

dp = [[10**10] * (10 ** 5 + 10) for _ in range(N + 1)]

dp[0][0] = 0

#  i:N個目 j:価値

for i, (w, v) in enumerate(x, 1):
    for j in range(10**5 + 1):
        dp[i][j] = dp[i - 1][j]
        if j != 0 and v <= j:
            dp[i][j] = min(dp[i][j], dp[i - 1][j - v] + w)

for i in range(10 ** 5, -1, -1):
    if dp[-1][i] <= W:
        print(i)
        exit()


Fixed submission:
#import
#import math
#import numpy as np
#= int(input())
#= input()
N, W = map(int, input().split())
#= list(map(int, input().split()))
#= [input(), input()]

x = [list(map(int, input().split())) for _ in range(N)]

dp = [[10**10] * (10 ** 5 + 10) for _ in range(N + 1)]

dp[0][0] = 0

#  i:N個目 j:価値

for i, (w, v) in enumerate(x, 1):
    for j in range(10**5 + 1):
        dp[i][j] = dp[i - 1][j]
        if j != 0 and v <= j:
            dp[i][j] = min(dp[i][j], dp[i - 1][j - v] + w)

for i in range(10 ** 5, -1, -1):
    if dp[-1][i] <= W:
        print(i)
        exit()

Buggy python submission (verdict: Runtime Error):
#import
#import math
#import numpy as np
#= int(input())
#= input()
N, W = map(int, input().split())
#= list(map(int, input().split()))
#= [input(), input()]

x = [list(map(int, input().split())) for _ in range(N)]

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

for i in range(1, N + 1):
    for j in range(1, W + 1):
        dp[i][j] = dp[i - 1][j]
        if i != 0 and x[i - 1][0] <= j:
            dp[i][j] = max(dp[i][j], dp[i-1][j-x[i-1][0]] + x[i-1][1])

print(dp[-1][W])


Fixed submission:
#import
#import math
#import numpy as np
#= int(input())
#= input()
N, W = map(int, input().split())
#= list(map(int, input().split()))
#= [input(), input()]

x = [list(map(int, input().split())) for _ in range(N)]

dp = [[10**10] * (10 ** 5 + 10) for _ in range(N + 1)]

dp[0][0] = 0

#  i:N個目 j:価値

for i, (w, v) in enumerate(x, 1):
    for j in range(10**5 + 1):
        dp[i][j] = dp[i - 1][j]
        if j != 0 and v <= j:
            dp[i][j] = min(dp[i][j], dp[i - 1][j - v] + w)

for i in range(10 ** 5, -1, -1):
    if dp[-1][i] <= W:
        print(i)
        exit()
Buggy python submission (verdict: Time Limit Exceeded):
#import
#import math
#import numpy as np
#= int(input())
#= input()
#= map(int, input().split())
#= [input(), input()]

s = input()
t = input()

sl = len(s)
tl = len(t)

dp = [[0] * (tl + 1) for _ in range(sl + 1)]

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

res = ""
i = sl
j = tl  
while i > 0 and j > 0:
    if dp[i - 1][j] == dp[i][j]:
        i -= 1

    elif dp[i][j - 1] == dp[i][j]:
        j -= 1

    else:
        res = s[i - 1] + res
        i -= 1
        j -= 1

print(res)

Fixed submission:
#import
#import math
#import numpy as np
#= int(input())
#= input()
#= map(int, input().split())
#= [input(), input()]

s = input()
t = input()

sl = len(s)
tl = len(t)

dp = [[0] * (tl + 1) for _ in range(sl + 1)]

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

res = ""
i = sl
j = tl  
while i > 0 and j > 0:
    if dp[i - 1][j] == dp[i][j]:
        i -= 1

    elif dp[i][j - 1] == dp[i][j]:
        j -= 1

    else:
        res = s[i - 1] + res
        i -= 1
        j -= 1

print(res)
Buggy python submission (verdict: Time Limit Exceeded):
import sys
input = sys.stdin.readline
sys.setrecursionlimit(10**7)

N = int(input())
a = list(map(int, input().split()))

one = a.count(1)
two = a.count(2)
three = a.count(3)

dp = [[[0.0] * (N + 1) for _ in range((N + 1))] for _ in range((N + 1))]

max_one = one + two + three
max_two = two + three
max_three = three

for k in range(max_three + 1):
    for j in range(max_two + 1 - k):
        for i in range(max_one + 1 - j - k):
            if i + j + k == 0:
                continue
            else:
                r = N

            if i > 0:
                r += dp[i - 1][j][k] * i
            if j > 0:
                r += dp[i + 1][j - 1][k] * j
            if k > 0:
                r += dp[i][j + 1][k - 1] * k

            dp[i][j][k] = r / (i + j + k)

print(dp[one][two][three])


Fixed submission:
import sys
input = sys.stdin.readline
sys.setrecursionlimit(10**7)

N = int(input())
a = list(map(int, input().split()))

one = a.count(1)
two = a.count(2)
three = a.count(3)

dp = [[[-1] * 301 for _ in range(301)] for _ in range(301)]

def dfs(i, j, k):
    if dp[i][j][k] >= 0:
        return dp[i][j][k]

    if i == 0 and j == 0 and k == 0:
        return 0.0

    res = 0.0

    if i > 0:
        res += dfs(i - 1, j, k) * i
    if j > 0:
        res += dfs(i + 1, j - 1, k) * j
    if k > 0:
        res += dfs(i, j + 1, k - 1) * k
        
    res += N

    res /= i + j + k

    dp[i][j][k] = res
    return res

res = dfs(one, two, three)

print(res)

Buggy python submission (verdict: Time Limit Exceeded):
#import
#import math
#import numpy as np
N = int(input())
#= input()
#= map(int, input().split())
a = list(map(int, input().split()))
#= [input(), input()]
#= [list(map(int, input().split())) for _ in range(N)]
#= {i:[] for i in range(N)}

one = a.count(1)
two = a.count(2)
three = a.count(3)

dp = [[[-1] * 301 for _ in range(301)] for _ in range(301)]

def dfs(i, j, k):
    if dp[i][j][k] >= 0:
        return dp[i][j][k]

    if i == 0 and j == 0 and k == 0:
        return 0.0

    res = 0.0

    if i > 0:
        res += dfs(i - 1, j, k) * i
    if j > 0:
        res += dfs(i + 1, j - 1, k) * j
    if k > 0:
        res += dfs(i, j + 1, k - 1) * k
        
    res += N

    res /= i + j + k

    dp[i][j][k] = res
    return res

res = dfs(one, two, three)

print(res)


Fixed submission:
import sys
input = sys.stdin.readline
sys.setrecursionlimit(10**7)

N = int(input())
a = list(map(int, input().split()))

one = a.count(1)
two = a.count(2)
three = a.count(3)

dp = [[[-1] * 301 for _ in range(301)] for _ in range(301)]

def dfs(i, j, k):
    if dp[i][j][k] >= 0:
        return dp[i][j][k]

    if i == 0 and j == 0 and k == 0:
        return 0.0

    res = 0.0

    if i > 0:
        res += dfs(i - 1, j, k) * i
    if j > 0:
        res += dfs(i + 1, j - 1, k) * j
    if k > 0:
        res += dfs(i, j + 1, k - 1) * k
        
    res += N

    res /= i + j + k

    dp[i][j][k] = res
    return res

res = dfs(one, two, three)

print(res)
Buggy python submission (verdict: Time Limit Exceeded):
#!/usr/bin/env python3

import sys
sys.setrecursionlimit(10**9)
#import
#import math
#import numpy as np
N = int(input())
A = list(map(int, input().split()))

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

# 半開区間A[r,l)における最大スコア
def calc(r, l):
    if dp[r][l] != -1:
        return dp[r][l]

    if l - r == 1:
        dp[r][l] = A[r]
        return dp[r][l]

    elif l - r == 2:
        dp[r][l] = max(A[r], A[r + 1]) - min(A[r], A[r + 1])
        return dp[r][l]

    res = max(A[r] - calc(r + 1, l), A[l - 1] - calc(r, l - 1))
    dp[r][l] = res
    return res

ans = calc(0, N)

print(ans)

Fixed submission:
#!/usr/bin/env python3

import sys
sys.setrecursionlimit(10**9)
#import
#import math
#import numpy as np
N = int(input())
A = list(map(int, input().split()))

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


for w in range(1, N + 1):
    for l in range(N - w + 1):
        r = w + l
        dp[l][r] = A[l] - dp[l + 1][r]
        if r > 0:
            dp[l][r] = max(dp[l][r], A[r - 1] - dp[l][r - 1])

print(dp[0][N])

Buggy python submission (verdict: Time Limit Exceeded):
#!/usr/bin/env python3

import sys
sys.setrecursionlimit(10**9)
#import
#import math
#import numpy as np
N = int(input())
A = list(map(int, input().split()))

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

# 半開区間A[r,l)における最大スコア
def calc(r, l):
    if dp[r][l] != -1:
        return dp[r][l]

    if l - r == 1:
        return A[r]

    elif l - r == 2:
        return max(A[r], A[r + 1]) - min(A[r], A[r + 1])

    res = max(A[r] - calc(r + 1, l), A[l - 1] - calc(r, l - 1))
    dp[r][l] = res
    return res

ans = calc(0, N)

print(ans)

Fixed submission:
#!/usr/bin/env python3

import sys
sys.setrecursionlimit(10**9)
#import
#import math
#import numpy as np
N = int(input())
A = list(map(int, input().split()))

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


for w in range(1, N + 1):
    for l in range(N - w + 1):
        r = w + l
        dp[l][r] = A[l] - dp[l + 1][r]
        if r > 0:
            dp[l][r] = max(dp[l][r], A[r - 1] - dp[l][r - 1])

print(dp[0][N])

Buggy python submission (verdict: Runtime Error):
#!/usr/bin/env python3

#import
#import math
#import numpy as np
N = int(input())
A = list(map(int, input().split()))

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

# 半開区間A[r,l)における最大スコア
def calc(r, l):
    if dp[r][l] != -1:
        return dp[r][l]

    if l - r == 1:
        return A[r]

    elif l - r == 2:
        return max(A[r], A[r + 1]) - min(A[r], A[r + 1])

    res = max(A[r] - calc(r + 1, l), A[l - 1] - calc(r, l - 1))
    dp[r][l] = res
    return res

ans = calc(0, N)

print(ans)

Fixed submission:
#!/usr/bin/env python3

import sys
sys.setrecursionlimit(10**9)
#import
#import math
#import numpy as np
N = int(input())
A = list(map(int, input().split()))

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


for w in range(1, N + 1):
    for l in range(N - w + 1):
        r = w + l
        dp[l][r] = A[l] - dp[l + 1][r]
        if r > 0:
            dp[l][r] = max(dp[l][r], A[r - 1] - dp[l][r - 1])

print(dp[0][N])
Buggy python submission (verdict: Runtime Error):
#!/usr/bin/env python3

#import
#import math
#import numpy as np
n = int(input())
V = list(map(int, input().split()))

even = {}
odd = {}

for i in range(n):
    v = V[i]
    if i % 2 == 0:
        if v in even:
            even[v] += 1
        else:
            even[v] = 1
    else:
        if v in odd:
            odd[v] += 1
        else:
            odd[v] = 1

odic = {0:1}
edic = {0:1}

for o in odd:
    t = odd[o]
    if t in odic:
        odic[t].append(o)
    else:
        odic[t] = [o]

for e in even:
    t = even[e]
    if t in edic:
        edic[t].append(e)
    else:
        edic[t] = [e]

okey = list(odic.keys())
ekey = list(edic.keys())


maxo = okey[-1]
maxe = ekey[-1]

ans = n - maxo - maxe

if odic[maxo] == edic[maxe]:
    if len(odic[maxo]) == 1:
        nexto = okey[-2]
        nexte = ekey[-2]
        
    ans += maxe - max(nexto, nexte)

print(ans)





Fixed submission:
#!/usr/bin/env python3

#import
#import math
#import numpy as np
n = int(input())
V = list(map(int, input().split()))

even = {0:0}
odd = {0:0}

for i in range(n):
    v = V[i]
    if i % 2 == 0:
        if v in even:
            even[v] += 1
        else:
            even[v] = 1
    else:
        if v in odd:
            odd[v] += 1
        else:
            odd[v] = 1

omax = 0
emax = 0
onext = 0
enext = 0

for e in even:
    if even[e] > even[emax]:
        if even[emax] > even[enext]:
            enext = emax
        emax = e
    elif even[e] > even[enext]:
        enext = e

for o in odd:
    if odd[o] > odd[omax]:
        if odd[omax] > odd[onext]:
            onext = omax
        omax = o
    elif odd[o] > odd[onext]:
        onext = o

if omax != emax:
    print(n - even[emax] - odd[omax])
else:
    print(n - even[emax] - odd[omax] + min(even[emax] - even[enext], odd[omax] - odd[onext]))