Harryxun/testdata huggingface dataset:
Buggy python submission (verdict: Runtime Error):
H, W = map(int, input().split())
S = []
for i in range(H):
    S.append(input())


dx = [1, -1, 0, 0]
dy = [0, 0, 1, -1]

used = [[False for _ in range(W)] for _ in range(H)]


def dfs(x, y):
    global nb, nw
    if S[y][x] == '#':
        nb += 1
    if S[y][x] == '.':
        nw += 1
    for i in range(4):
        nx = x + dx[i]
        ny = y + dy[i]
        if nx < 0 or nx >= W or ny < 0 or ny >= H:
            continue
        if used[ny][nx]:
            continue
        if S[y][x] == '#' and S[ny][nx] == '#':
            continue
        if S[y][x] == '.' and S[ny][nx] == '.':
            continue
        used[ny][nx] = True
        dfs(nx, ny)

ans = 0
for i in range(H):
    for j in range(W):
        if not used[i][j]:
            used[i][j] = True
            nb = 0
            nw = 0
            dfs(j, i)
            ans += nb*nw
print(ans)


Fixed submission:
import sys
sys.setrecursionlimit(200000)

H, W = map(int, input().split())
S = []
for i in range(H):
    S.append(input())


dx = [1, -1, 0, 0]
dy = [0, 0, 1, -1]

used = [[False for _ in range(W)] for _ in range(H)]


def dfs(x, y):
    global nb, nw
    if S[y][x] == '#':
        nb += 1
    if S[y][x] == '.':
        nw += 1
    for i in range(4):
        nx = x + dx[i]
        ny = y + dy[i]
        if nx < 0 or nx >= W or ny < 0 or ny >= H:
            continue
        if used[ny][nx]:
            continue
        if S[y][x] == '#' and S[ny][nx] == '#':
            continue
        if S[y][x] == '.' and S[ny][nx] == '.':
            continue
        used[ny][nx] = True
        dfs(nx, ny)

ans = 0
for i in range(H):
    for j in range(W):
        if not used[i][j]:
            used[i][j] = True
            nb = 0
            nw = 0
            dfs(j, i)
            ans += nb*nw
print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
N, K = map(int, input().split())
h = list(map(int, input().split()))

if K>=N-1:
    print(h[N-1]-h[0])
else:
    dp = [10**10 for i in range(N)]
    dp[0] = 0
    for i in range(0, N):
        for j in range(1, K+1):
            if i>=j:
                dp[i] = min(dp[i-j]+abs(h[i]-h[i-j]), dp[i])
    print(dp[N-1])



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

if K >= N - 1:
    print(h[N - 1] - h[0])
else:
    dp = [10 ** 10 for i in range(N)]
    dp[0] = 0
    for i in range(1, N):
        for j in range(1, K + 1):
            if i >= j:
                dp[i] = min(dp[i - j] + abs(h[i] - h[i - j]), dp[i])
    print(dp[N - 1])
Buggy python submission (verdict: Time Limit Exceeded):
n = int(input())
primes = [2]
for i in range(3, 100):
    flag = True
    for j in primes:
        if i%j==0:
            flag = False
            break
    if flag:
        primes.append(i)

factors = [0 for i in range(len(primes))]
def mul(x):
    if x==2:
        factors[0] += 1
        return 2
    else:
        tmp = x
        while tmp != 1:
            for i, prime in enumerate(primes):
                if tmp%prime==0:
                    factors[i] += 1
                    tmp = tmp//prime
                    break

        return x*mul(x-1)

mul(n)
num74 = 0
num24 = 0
num14 = 0
num4 = 0
num2 = 0
for factor in factors:
    if factor>=74:
        num74 += 1
    elif factor>=24:
        num24 += 1
    elif factor>=14:
        num14 += 1
    elif factor>=4:
        num4 += 1
    elif factor >=2:
        num2 += 1

ans = 0
''' 3 * 5 * 5 '''
tmp1 = num74+num24+num14+num4
tmp2 = num2
ans += tmp1*(tmp1-1)//2*tmp2 + tmp1*(tmp1-1)//2*(tmp1-2)
''' 5 * 15 '''
tmp1 = num74+num24+num14
tmp2 = num4
ans += tmp1*tmp2 + tmp1*(tmp1-1)
''' 3 * 25 '''
tmp1 = num74+num24
tmp2 = num14+num4+num2
ans += tmp1*tmp2 + tmp1*(tmp1-1)
''' 75 '''
tmp1 = num74
ans += tmp1
print(ans)


Fixed submission:
n = int(input())
primes = [2]
for i in range(3, 100):
    flag = True
    for j in primes:
        if i%j==0:
            flag = False
            break
    if flag:
        primes.append(i)

factors = [0 for i in range(len(primes))]
def mul(x):
    #if x==2:
    #    factors[0] += 1
    #    return 2
    if x==1:
        return 1
    else:
        tmp = x
        while tmp != 1:
            for i, prime in enumerate(primes):
                if tmp%prime==0:
                    factors[i] += 1
                    tmp = tmp//prime
                    break

        return x*mul(x-1)

mul(n)
num74 = 0
num24 = 0
num14 = 0
num4 = 0
num2 = 0
for factor in factors:
    if factor>=74:
        num74 += 1
    elif factor>=24:
        num24 += 1
    elif factor>=14:
        num14 += 1
    elif factor>=4:
        num4 += 1
    elif factor >=2:
        num2 += 1

ans = 0
''' 3 * 5 * 5 '''
tmp1 = num74+num24+num14+num4
tmp2 = num2
ans += tmp1*(tmp1-1)//2*tmp2 + tmp1*(tmp1-1)//2*(tmp1-2)
''' 5 * 15 '''
tmp1 = num74+num24+num14
tmp2 = num4
ans += tmp1*tmp2 + tmp1*(tmp1-1)
''' 3 * 25 '''
tmp1 = num74+num24
tmp2 = num14+num4+num2
ans += tmp1*tmp2 + tmp1*(tmp1-1)
''' 75 '''
tmp1 = num74
ans += tmp1
print(ans)
Buggy python submission (verdict: Runtime Error):
X, Y = map(int, input())
print(X+Y//2)


Fixed submission:
X, Y = map(int, input().split())
print(X+Y//2)
Buggy python submission (verdict: Runtime Error):
import math

N, M = list(map(int, input().split()))
S = input()
T = input()
gcd = math.gcd(N, M)
lcm = N*M//gcd
if N%M==0 or M%N==0:
    exist = True
    if N>M:
        for i in range(M):
            if S[N//M*i]!=T[i]:
                exist = False
                break
    else:
        for i in range(N):
            if T[M//N*i]!=S[i]:
                exist = False
                break
    if exist:
        print(max(N, M))
    else:
        print(-1)
else:
    print(lcm)


Fixed submission:
import math

def gcd(a, b):
    while b:
        a, b = b, a % b
    return a

N, M = list(map(int, input().split()))
S = input()
T = input()
g = gcd(N, M)
lcm = N*M//g
if N%M==0 or M%N==0:
    exist = True
    if N>M:
        for i in range(M):
            if S[N//M*i]!=T[i]:
                exist = False
                break
    else:
        for i in range(N):
            if T[M//N*i]!=S[i]:
                exist = False
                break
    if exist:
        print(max(N, M))
    else:
        print(-1)
else:
    n_s = lcm//N
    n_t = lcm//M
    mul = n_s*n_t
    exist = True
    for i in range(0, lcm, mul):
        if S[i//n_s]!=T[i//n_t]:
            exist = False
            break
    if exist:
        print(lcm)
    else:
        print(-1)

Buggy python submission (verdict: Runtime Error):
import math

N, M = map(int, input().split())
S = input()
T = input()
gcd = math.gcd(N, M)
lcm = N*M//gcd
if N%M==0 or M%N==0:
    exist = True
    if N>M:
        for i in range(M):
            if S[N//M*i]!=T[i]:
                exist = False
                break
    else:
        for i in range(N):
            if T[M//N*i]!=S[i]:
                exist = False
                break
    if exist:
        print(max(N, M))
    else:
        print(-1)
else:
    print(lcm)


Fixed submission:
import math

def gcd(a, b):
    while b:
        a, b = b, a % b
    return a

N, M = list(map(int, input().split()))
S = input()
T = input()
g = gcd(N, M)
lcm = N*M//g
if N%M==0 or M%N==0:
    exist = True
    if N>M:
        for i in range(M):
            if S[N//M*i]!=T[i]:
                exist = False
                break
    else:
        for i in range(N):
            if T[M//N*i]!=S[i]:
                exist = False
                break
    if exist:
        print(max(N, M))
    else:
        print(-1)
else:
    n_s = lcm//N
    n_t = lcm//M
    mul = n_s*n_t
    exist = True
    for i in range(0, lcm, mul):
        if S[i//n_s]!=T[i//n_t]:
            exist = False
            break
    if exist:
        print(lcm)
    else:
        print(-1)
Buggy python submission (verdict: Runtime Error):
import math
from functools import reduce
N, X = map(int, input().split())
x = list(map(int, input().split()))
x.append(X)
x = sorted(x)
y = []
for i in range(len(x)-1):
    y.append(x[i+1]-x[i])
print(reduce(math.gcd, y))


Fixed submission:
from functools import reduce


def gcd(a, b):
    while b:
        a, b = b, a % b
    return a

N, X = map(int, input().split())
x = list(map(int, input().split()))
x.append(X)
x = sorted(x)
y = []
for i in range(len(x)-1):
    y.append(x[i+1]-x[i])
print(reduce(gcd, y))
Buggy python submission (verdict: Time Limit Exceeded):
K, N = map(int, input().split())
mod = 998244353


def cmb(n, r, mod):
    if (r < 0 or r > n):
        return 0
    r = min(r, n-r)
    return g1[n] * g2[r] * g2[n-r] % mod


def H(n, k, mod):
    return cmb(n+k-1, k, mod)

Nmax = 10**5
g1 = [1, 1]
g2 = [1, 1]
inv = [0, 1]

for i in range(2, Nmax+1):
    g1.append((g1[-1] * i) % mod)
    inv.append((-inv[mod % i] * (mod//i)) % mod)
    g2.append((g2[-1] * inv[-1]) % mod)

ans = []
for i in range(2, K+2):
    res = 0
    if i % 2 == 1:
        for j in range(i//2+1):
            res += cmb(i//2, j, mod)*2**j*H(K-i//2*2+j, N-j, mod)
            res %= mod
    else:
        for j in range(i//2):
            res += cmb(i//2-1, j, mod)*2**j*H(K-i+1+j, N-j, mod)
            res += cmb(i//2-1, j, mod)*2**j*H(K-i+1+j, N-1-j, mod)
            res %= mod
    ans.append(res)

for elem in ans + ans[-2::-1]:
    print(elem)


Fixed submission:
K, N = map(int, input().split())
mod = 998244353


def cmb(n, r, mod):
    if (r < 0 or r > n):
        return 0
    r = min(r, n-r)
    return g1[n] * g2[r] * g2[n-r] % mod


def H(n, k, mod):
    return cmb(n+k-1, k, mod)

Nmax = 10**5
g1 = [1, 1]
g2 = [1, 1]
inv = [0, 1]

for i in range(2, Nmax+1):
    g1.append((g1[-1] * i) % mod)
    inv.append((-inv[mod % i] * (mod//i)) % mod)
    g2.append((g2[-1] * inv[-1]) % mod)

ans = []
for i in range(2, K+2):
    res = 0
    if i % 2 == 1:
        for j in range(i//2+1):
            res += cmb(i//2, j, mod)*2**j*H(K-i//2*2+j, N-j, mod)
            res %= mod
    else:
        for j in range(i//2):
            res += cmb(i//2-1, j, mod)*2**j*H(K-i+1+j, N-j, mod)
            res += cmb(i//2-1, j, mod)*2**j*H(K-i+1+j, N-1-j, mod)
            res %= mod
    ans.append(res)

for elem in ans + ans[-2::-1]:
    print(elem)
Buggy python submission (verdict: Time Limit Exceeded):
N, K = map(int, input().split())
x = list(map(int, input().split()))

ans = 10**18
for i in range(N-K+1):
    y = x[i:i+K]
    y0 = x[i]
    yk = x[i+K-1]
    if yk < 0:
        ans = min(ans, abs(y0))
    elif y0 <= 0 and 0 <= yk:
        ans = min(ans, yk-2*y0, 2*yk-y0)
    else:
        ans = min(ans, yk)

print(ans)


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

ans = 10**18
for i in range(N-K+1):
    y0 = x[i]
    yk = x[i+K-1]
    if yk < 0:
        ans = min(ans, abs(y0))
    elif y0 <= 0 and 0 <= yk:
        ans = min(ans, yk-2*y0, 2*yk-y0)
    else:
        ans = min(ans, yk)

print(ans)

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

ans = 10**18
for i in range(N-K+1):
    y = x[i:i+K]
    if y[0] < 0 and y[K-1] < 0:
        ans = min(ans, abs(y[0]))
    elif y[0] <= 0 and 0 <= y[K-1]:
        ans = min(ans, y[K-1]-2*y[0], 2*y[K-1]-y[0])
    else:
        ans = min(ans, y[K-1])

print(ans)


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

ans = 10**18
for i in range(N-K+1):
    y0 = x[i]
    yk = x[i+K-1]
    if yk < 0:
        ans = min(ans, abs(y0))
    elif y0 <= 0 and 0 <= yk:
        ans = min(ans, yk-2*y0, 2*yk-y0)
    else:
        ans = min(ans, yk)

print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
from sys import stdin
input = stdin.readline

N, M, Q = map(int, input().split())

count = [[0]*(N+1) for _ in range(N+1)]
for i in range(M):
    l, r = map(int, input().split())
    count[l][r] += 1

accum = [[0]*(N+1) for _ in range(N+1)]
for i in range(N+1):
    accum[i][0] = count[i][0]
    for j in range(1, N+1):
        accum[i][j] = accum[i][j-1] + count[i][j]

for _ in range(Q):
    p, q = map(int, input().split())
    ans = 0
    for i in range(p, q+1):
        ans += accum[i][q]-accum[i][p-1]
    print(ans)


Fixed submission:
from sys import stdin
#from pprint import pprint
input = stdin.readline

N, M, Q = map(int, input().split())

count = [[0]*(N+1) for _ in range(N+1)]
for i in range(M):
    l, r = map(int, input().split())
    count[l][r] += 1
# pprint(count)

accum = [[0]*(N+1) for _ in range(N+1)]
for i in range(N+1):
    accum[i][0] = count[i][0]
    for j in range(1, N+1):
        accum[i][j] = accum[i][j-1] + count[i][j]
for i in range(1, N+1):
    for j in range(N+1):
        accum[i][j] = accum[i-1][j] + accum[i][j]
# pprint(accum)

test = [[0]*(N+1) for _ in range(N+1)]
for i in range(1, N+1):
    for j in range(1, N+1):
        test[i][j] = accum[j][j] - accum[i-1][j] - \
            accum[j][i-1] + accum[i-1][i-1]
# pprint(test)


for _ in range(Q):
    p, q = map(int, input().split())
    ans = accum[q][q] - accum[p-1][q] - accum[q][p-1] + accum[p-1][p-1]
    print(ans)
Buggy python submission (verdict: Runtime Error):
N = int(input())
A = list(map(int, input().split()))

for i in range(N):
    A[i] -= i + 1

sortA = sorted(A)
b1 = sortA[(N-1)//2]
b2 = sortA[(N-1)//2+1]

ans1 = 0
ans2 = 0
for i in range(N):
    ans1 += abs(b1-A[i])
    ans2 += abs(b2-A[i])

print(min(ans1, ans2))


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

for i in range(N):
    A[i] -= i + 1

sortA = sorted(A)

if(N>1):
    b1 = sortA[(N-1)//2]
    b2 = sortA[(N-1)//2+1]

    ans1 = 0
    ans2 = 0
    for i in range(N):
        ans1 += abs(b1-A[i])
        ans2 += abs(b2-A[i])

    print(min(ans1, ans2))
else:
    print(0)
Buggy python submission (verdict: Runtime Error):
S = input()
chars = list(map(lambda c: ord(c)-97, S))
if len(chars)!=26:
    chars = sorted(chars)
    i = 0
    while i==chars[i]:
        i += 1
    ans = S + chr(i+97)
else:
    prev = -1
    i = 0
    for c in reversed(chars):
        if prev < c:
            i += 1
            prev = c
        else:
            break
    if i==26:
        ans = -1
    else:
        max_s = chars[-i-1]
        min_c = 27
        for c in chars[-i:]:
            if c>max_s and c<min_c:
                min_c = c
        ans = S[:-i-1] + chr(min_c+97)

print(ans)



Fixed submission:
S = input()
chars = list(map(lambda c: ord(c)-97, S))
if len(chars)!=26:
    chars = sorted(chars)
    i = 0
    while i==chars[i]:
        i += 1
        if i==len(chars):
            break
    ans = S + chr(i+97)
else:
    prev = -1
    i = 0
    for c in reversed(chars):
        if prev < c:
            i += 1
            prev = c
        else:
            break
    if i==26:
        ans = -1
    else:
        max_s = chars[-i-1]
        min_c = 27
        for c in chars[-i:]:
            if c>max_s and c<min_c:
                min_c = c
        ans = S[:-i-1] + chr(min_c+97)

print(ans)
Buggy python submission (verdict: Runtime Error):
H, W, D = map(int, input().split())
A = [list(map(int, input().split())) for _ in range(H)]
Q = int(input())
pos = [None]*(H*W+1)
for i, elem in enumerate(A):
    for j, a in enumerate(elem):
        pos[a] = (i, j)
acc = [[] for _ in range(D+1)]
for i in range(1, D+1):
    tmp = i
    s = 0
    acc[i].append(s)
    while tmp <= H*W-D:
        s += abs(pos[tmp][0]-pos[tmp+D][0])+abs(pos[tmp][1]-pos[tmp+D][1])
        acc[i].append(s)
        tmp += D

for _ in range(Q):
    L, R = map(int, input().split())
    print(acc[(R-1) % D+1][(R-R % D-1)//D+1] -
          acc[(R-1) % D+1][(L-L % D-1)//D+1])


Fixed submission:
H, W, D = map(int, input().split())
A = [list(map(int, input().split())) for _ in range(H)]
Q = int(input())
pos = [None]*(H*W+1)
for i, elem in enumerate(A):
    for j, a in enumerate(elem):
        pos[a] = (i, j)
acc = [[] for _ in range(D+1)]
for i in range(1, D+1):
    tmp = i
    s = 0
    acc[i].append(s)
    while tmp <= H*W-D:
        s += abs(pos[tmp][0]-pos[tmp+D][0])+abs(pos[tmp][1]-pos[tmp+D][1])
        acc[i].append(s)
        tmp += D

for _ in range(Q):
    L, R = map(int, input().split())
    print(acc[(R-1) % D+1][(R-R % D)//D-(R % D == 0)] -
          acc[(R-1) % D+1][(L-L % D)//D-(L % D == 0)])
Buggy python submission (verdict: Time Limit Exceeded):
import numpy as np
N, K = map(int, input().split())
mod = 2*K
field = np.zeros((2*K+1, 2*K+1), dtype='i')


def gen_pattern(x):
    if x < K-1:
        return [[0, x+1], [x+K+1, 2*K]]
    else:
        return [[x-K+1, x+1]]

for _ in range(N):
    x, y, c = input().split()
    x, y = int(x), int(y)
    if c == 'W':
        y += K
    x %= mod
    y %= mod
    for tmp in [0, K]:
        for l, r in gen_pattern((x+tmp) % mod):
            for b, t in gen_pattern((y+tmp) % mod):
                field[l][b] += 1
                field[l][t] -= 1
                field[r][b] -= 1
                field[r][t] += 1

print(field.cumsum(axis=0).cumsum(axis=1).max())


Fixed submission:
import numpy as np
N, K = map(int, input().split())
mod = 2*K
#field = np.zeros((2*K+1, 2*K+1), dtype='i')
field = [[0]*(2*K+1) for _ in range(2*K+1)]

def gen_pattern(x):
    if x < K-1:
        return [[0, x+1], [x+K+1, 2*K]]
    else:
        return [[x-K+1, x+1]]

for _ in range(N):
    x, y, c = input().split()
    x, y = int(x), int(y)
    if c == 'W':
        y += K
    x %= mod
    y %= mod
    for tmp in [0, K]:
        for l, r in gen_pattern((x+tmp) % mod):
            for b, t in gen_pattern((y+tmp) % mod):
                field[l][b] += 1
                field[l][t] -= 1
                field[r][b] -= 1
                field[r][t] += 1

field = np.array(field)
print(field.cumsum(axis=0).cumsum(axis=1).max())

Buggy python submission (verdict: Time Limit Exceeded):
import numpy as np
N, K = map(int, input().split())
mod = 2*K
field = np.zeros((2*K+1, 2*K+1), dtype='i')


def gen_pattern(x):
    if x < K-1:
        return [[0, x+1], [x+K+1, 2*K]]
    else:
        return [[x-K+1, x+1]]

for _ in range(N):
    x, y, c = input().split()
    x, y = int(x), int(y)
    if c == 'W':
        y += K
    x %= mod
    y %= mod
    for tmp in [0, K]:
        for l, r in gen_pattern((x+tmp) % mod):
            for b, t in gen_pattern((y+tmp) % mod):
                field[l][b] += 1
                field[l][t] -= 1
                field[r][b] -= 1
                field[r][t] += 1

ans = np.max(np.cumsum(np.cumsum(field, axis=0), axis=1))
print(ans)


Fixed submission:
import numpy as np
N, K = map(int, input().split())
mod = 2*K
#field = np.zeros((2*K+1, 2*K+1), dtype='i')
field = [[0]*(2*K+1) for _ in range(2*K+1)]

def gen_pattern(x):
    if x < K-1:
        return [[0, x+1], [x+K+1, 2*K]]
    else:
        return [[x-K+1, x+1]]

for _ in range(N):
    x, y, c = input().split()
    x, y = int(x), int(y)
    if c == 'W':
        y += K
    x %= mod
    y %= mod
    for tmp in [0, K]:
        for l, r in gen_pattern((x+tmp) % mod):
            for b, t in gen_pattern((y+tmp) % mod):
                field[l][b] += 1
                field[l][t] -= 1
                field[r][b] -= 1
                field[r][t] += 1

field = np.array(field)
print(field.cumsum(axis=0).cumsum(axis=1).max())
Buggy python submission (verdict: Runtime Error):
from itertools import accumulate
N, C = map(int, input().split())
STC = [list(map(int, input().split())) for _ in range(N)]

M = 10**5
merge = [[0]*(M+1) for _ in range(31)]
for i in range(N):
    s, t, c = STC[i]
    merge[c][s] += 1
    merge[c][t+1] -= 1
for c in range(31):
    merge[c] = list(map(lambda x: int(bool(x)), accumulate(merge[c])))

ans = []
for i in range(M+1):
    res = 0
    for j in range(31):
        res += merge[j][i]
    ans.append(res)
print(max(ans))


Fixed submission:
from itertools import accumulate
N, C = map(int, input().split())
STC = [list(map(int, input().split())) for _ in range(N)]

M = 10**5+1
merge = [[0]*(M+1) for _ in range(31)]
for i in range(N):
    s, t, c = STC[i]
    merge[c][s] += 1
    merge[c][t+1] -= 1
for c in range(31):
    merge[c] = list(map(lambda x: int(bool(x)), accumulate(merge[c])))

ans = []
for i in range(M+1):
    res = 0
    for j in range(31):
        res += merge[j][i]
    ans.append(res)
print(max(ans))
Buggy python submission (verdict: Time Limit Exceeded):
from itertools import accumulate
N = int(input())
t = [0]*2 + list(map(int, input().split())) + [0]
v = [0] + list(map(int, input().split())) + [0]
N += 3

at = list(accumulate(t))
T = at[-1]

s = [0]*(2*T+1)

minvs = []
for i in range(2*T+1):
    t = i*0.5
    minv = 10**10
    for j in range(N-1):
        if t < at[j]:
            tmpv = v[j] + (at[j]-t)
        elif at[j] <= t and t <= at[j+1]:
            tmpv = v[j]
        else:
            tmpv = v[j] + (t-at[j+1])
        minv = min(minv, tmpv)
    minvs.append(minv)
ans = 0.0
for i in range(2*T):
    ans += (minvs[i]+minvs[i+1])*0.25
print(ans)


Fixed submission:
from itertools import accumulate
N = int(input())
t = [0]*2 + list(map(int, input().split())) + [0]
v = [0] + list(map(int, input().split())) + [0]
N += 3

at = list(accumulate(t))
T = at[-1]

s = [0]*(2*T+1)

minvs = []
for i in range(2*T+1):
    t = i*0.5
    minv = 10**10
    for j in range(N-1):
        if t < at[j]:
            tmpv = v[j] + (at[j]-t)
        elif at[j] <= t and t <= at[j+1]:
            tmpv = v[j]
        else:
            tmpv = v[j] + (t-at[j+1])
        minv = min(minv, tmpv)
    minvs.append(minv)
ans = 0.0
for i in range(2*T):
    ans += (minvs[i]+minvs[i+1])*0.25
print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
import copy
N = int(input())
A = [list(map(int, input().split())) for _ in range(N)]
B = copy.deepcopy(A)

for k in range(N):
    for i in range(N):
        for j in range(N):
            if A[i][k] + A[k][j] < A[i][j]:
                A[i][j] = A[i][k] + A[k][j]

flag = True
for i in range(N):
    for j in range(N):
        if A[i][j] != B[i][j]:
            flag = False
            break
    if not flag:
        break

if not flag:
    print(-1)
    exit()


for i in range(N):
    for j in range(N):
        for k in range(N):
            if i == k or j == k:
                continue
            if A[i][k] + A[k][j] == A[i][j]:
                B[i][j] = 0
print(sum(map(sum, B))//2)


Fixed submission:
import copy
N = int(input())
A = [list(map(int, input().split())) for _ in range(N)]
B = copy.deepcopy(A)

for k in range(N):
    for i in range(N):
        for j in range(N):
            if A[i][k] + A[k][j] < A[i][j]:
                A[i][j] = A[i][k] + A[k][j]

flag = True
for i in range(N):
    for j in range(N):
        if A[i][j] != B[i][j]:
            flag = False
            break
    if not flag:
        break

if not flag:
    print(-1)
    exit()


for i in range(N):
    for j in range(N):
        for k in range(N):
            if i == k or j == k:
                continue
            if A[i][k] + A[k][j] == A[i][j]:
                B[i][j] = 0
print(sum(map(sum, B))//2)
Buggy python submission (verdict: Time Limit Exceeded):
from itertools import permutations
N, M, R = map(int, input().split())
r = list(map(int, input().split()))
G = [[10**6]*(N+1) for _ in range(N+1)]
for _ in range(M):
    a, b, c = map(int, input().split())
    G[a][b] = c
    G[b][a] = c

for k in range(1, N+1):
    for i in range(1, N+1):
        for j in range(1, N+1):
            if G[i][k]+G[k][j] < G[i][j]:
                G[i][j] = G[i][k] + G[k][j]


ans = 10**10
for elem in permutations(r):
    res = 0
    for i in range(R-1):
        res += G[elem[i]][elem[i+1]]
    ans = min(ans, res)
print(ans)


Fixed submission:
from itertools import permutations
N, M, R = map(int, input().split())
r = list(map(int, input().split()))
G = [[10**18]*(N+1) for _ in range(N+1)]
for _ in range(M):
    a, b, c = map(int, input().split())
    G[a][b] = c
    G[b][a] = c

for k in range(1, N+1):
    for i in range(1, N+1):
        for j in range(1, N+1):
            if G[i][k]+G[k][j] < G[i][j]:
                G[i][j] = G[i][k] + G[k][j]


ans = 10**18
for elem in permutations(r):
    res = 0
    for i in range(R-1):
        res += G[elem[i]][elem[i+1]]
    ans = min(ans, res)
print(ans)