Harryxun/testdata huggingface dataset:
Buggy python submission (verdict: Runtime Error):
def two_anagrams(s: str, t: str) -> bool:
    '''s を並び替えた実現可能な最小の文字列 s' と t を並び替えて
    実現可能な最小の文字列 t' に関して、s' < t' が成り立てば良い。
    '''
    sn, tn = len(s), len(t)
    sd, td = sorted(s), sorted(t, reverse=True)

    idx = 0
    while idx < sn and idx < tn:
        # idx-1 番目の文字までは同じと仮定する。
        if sn[idx] < tn[idx]:
            # この場合 sn < tn が成り立つ。
            return True
        if sn[idx] == tn[idx]:
            # 次に持ち越し
            idx += 1
            continue
        if sn[idx] > tn[idx]:
            # この場合 sn > tn が成り立つ。
            return False

    # min(sn, tn) 番目まで同じ。あとは長いほうが後ろ
    return sn < tn


if __name__ == "__main__":
    s = input()
    t = input()
    yes = two_anagrams(s, t)
    print('Yes' if yes else 'No')


Fixed submission:
def two_anagrams(s: str, t: str) -> bool:
    '''s を並び替えた実現可能な最小の文字列 s' と t を並び替えて
    実現可能な最小の文字列 t' に関して、s' < t' が成り立てば良い。
    '''
    sn, tn = len(s), len(t)
    sd, td = sorted(s), sorted(t, reverse=True)

    idx = 0
    while idx < sn and idx < tn:
        # idx-1 番目の文字までは同じと仮定する。
        if sd[idx] < td[idx]:
            # この場合 sn < tn が成り立つ。
            return True
        if sd[idx] == td[idx]:
            # 次に持ち越し
            idx += 1
            continue
        if sd[idx] > td[idx]:
            # この場合 sn > tn が成り立つ。
            return False

    # min(sn, tn) 番目まで同じ。あとは長いほうが後ろ
    return sn < tn


if __name__ == "__main__":
    s = input()
    t = input()
    yes = two_anagrams(s, t)
    print('Yes' if yes else 'No')
Buggy python submission (verdict: Runtime Error):
def mod_inv(n: int, mod: int)->int:
    b, u, v = mod, 1, 0
    while b > 0:
        t = n // b

        n -= t * b
        u -= t * v

        a, b = b, a
        u, v = v, u

    return (u+mod) % mod


def _11(N: int, A: list)->list:
    MOD = 10**9 + 7

    d = {}
    l, r = 0, 0
    for i, a in enumerate(A):
        if a in d:
            l, r = d[a], N-i
        else:
            d[a] = i

    c1, c2 = [1]*(N+2), [1]*(N+2)
    for i in range(N+1):
        c1[i+1] = (c1[i] * (N+1-i) * mod_inv(i+1, MOD)) % MOD
        c2[i+1] = (c2[i] * (l+r-i) * mod_inv(i+1, MOD)) % MOD

    return [(c1[k+1]-c2[k]+MOD) % MOD for k in range(N+1)]


if __name__ == "__main__":
    N = int(input())
    A = [int(s) for s in input().split()]
    ans = _11(N, A)
    print('\n'.join(map(str, ans)))


Fixed submission:
def mod_inv(n: int, mod: int)->int:
    b, u, v = mod, 1, 0
    while b > 0:
        t = n // b

        n -= t * b
        u -= t * v

        n, b = b, n
        u, v = v, u

    return (u+mod) % mod


def _11(N: int, A: list)->list:
    MOD = 10**9 + 7

    d = {}
    l, r = 0, 0
    for i, a in enumerate(A):
        if a in d:
            l, r = d[a], N-i
        else:
            d[a] = i

    c1, c2 = [1]*(N+2), [1]*(N+2)
    for i in range(N+1):
        c1[i+1] = (c1[i] * (N+1-i) * mod_inv(i+1, MOD)) % MOD
        c2[i+1] = (c2[i] * (l+r-i) * mod_inv(i+1, MOD)) % MOD

    return [(c1[k+1]-c2[k]+MOD) % MOD for k in range(N+1)]


if __name__ == "__main__":
    N = int(input())
    A = [int(s) for s in input().split()]
    ans = _11(N, A)
    print('\n'.join(map(str, ans)))

Buggy python submission (verdict: Time Limit Exceeded):
def _11(N: int, A: list)->list:
    MOD = 10**9 + 7

    d = {}
    l, r = 0, 0
    for i, a in enumerate(A):
        if a in d:
            l, r = d[a], N-i
        else:
            d[a] = i

    c1, c2 = [1]*(N+2), [1]*(N+2)
    for i in range(N+1):
        c1[i+1] = c1[i] * (N+1-i) // (i+1)
        c2[i+1] = c2[i] * (l+r-i) // (i+1)

    return [(c1[k+1]-c2[k]+MOD) % MOD for k in range(N+1)]


if __name__ == "__main__":
    N = int(input())
    A = [int(s) for s in input().split()]
    ans = _11(N, A)
    print('\n'.join(map(str, ans)))


Fixed submission:
def mod_inv(n: int, mod: int)->int:
    b, u, v = mod, 1, 0
    while b > 0:
        t = n // b

        n -= t * b
        u -= t * v

        n, b = b, n
        u, v = v, u

    return (u+mod) % mod


def _11(N: int, A: list)->list:
    MOD = 10**9 + 7

    d = {}
    l, r = 0, 0
    for i, a in enumerate(A):
        if a in d:
            l, r = d[a], N-i
        else:
            d[a] = i

    c1, c2 = [1]*(N+2), [1]*(N+2)
    for i in range(N+1):
        c1[i+1] = (c1[i] * (N+1-i) * mod_inv(i+1, MOD)) % MOD
        c2[i+1] = (c2[i] * (l+r-i) * mod_inv(i+1, MOD)) % MOD

    return [(c1[k+1]-c2[k]+MOD) % MOD for k in range(N+1)]


if __name__ == "__main__":
    N = int(input())
    A = [int(s) for s in input().split()]
    ans = _11(N, A)
    print('\n'.join(map(str, ans)))
Buggy python submission (verdict: Runtime Error):
def simple_knapsack(N: int, W: int, items: list) -> int:
    # dp[n][w] は n~N 番目の品物を利用して重さが w 以下となるときの
    # 最大価値
    dp = [[0] * (W+1) for _ in range(N+1)]

    for i, (iw, iv) in enumerate(items):
        for w in range(W+1):
            if w < iw:
                dp[N-i-1][w] = dp[N-i][w]
            else:
                dp[N-i-1][w] = max(dp[N-i][w], dp[N-i][w-iw]+iv)
    return dp[0][W]


if __name__ == "__main__":
    N = 0
    N, W = map(int, input().split())
    items = [tuple(map(int, input().split())) for _ in range(N)]
    ans = simple_knapsack(N, W, items)
    print(ans)


Fixed submission:
def simple_knapsack(N: int, W: int, items: list) -> int:
    w0 = items[0][0]
    d = {w0+i: [] for i in range(4)}
    for w, v in items:
        d[w].append(v)

    s = {}
    for k, values in d.items():
        s[k] = [0] * (len(values)+1)
        for i, v in enumerate(sorted(values, key=lambda x: -x)):
            s[k][i + 1] = s[k][i] + v

    w0, w1, w2, w3 = w0, w0 + 1, w0 + 2, w0 + 3

    max_value = 0
    for i1 in range(len(s[w0])):
        if W < w0 * i1:
            break
        for i2 in range(len(s[w1])):
            if W < w0 * i1 + w1 * i2:
                break
            for i3 in range(len(s[w2])):
                if W < w0 * i1 + w1 * i2 + w2 * i3:
                    break
                for i4 in range(len(s[w3])):
                    if W < w0 * i1 + w1 * i2 + w2 * i3 + w3 * i4:
                        break
                    max_value = max(
                        max_value, s[w0][i1] + s[w1][i2] + s[w2][i3] + s[w3][i4])

    return max_value


if __name__ == "__main__":
    N = 0
    N, W = map(int, input().split())
    items = [tuple(map(int, input().split())) for _ in range(N)]
    ans = simple_knapsack(N, W, items)
    print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
def candidates_of_no_shortest_paths(N: int, M: int, edges: list)->int:
    INF = float('inf')

    d = [[0 if i == j else INF for i in range(N)] for j in range(N)]

    for u, v, c in edges:
        d[u-1][v-1] = d[v-1][u-1] = c

    # warshall-floyd
    for k in range(N):
        for u in range(N):
            for v in range(N):
                if d[u][v] > d[u][k] + d[k][v]:
                    d[u][v] = d[u][k] + d[k][v]

    def used(edge: tuple)->bool:
        u, v, c = edge
        for s in range(N):
            for t in range(N):
                if d[s][u-1] + c + d[v-1][t] == d[s][t]:
                    return True
        return False

    return sum(not used(edge) for edge in edges)


if __name__ == "__main__":
    M = 0
    N, M = map(int, input().split())
    edges = [tuple(int(s) for s in input().split()) for _ in range(M)]
    ans = candidates_of_no_shortest_paths(N, M, edges)
    print(ans)


Fixed submission:
def candidates_of_no_shortest_paths(N: int, M: int, edges: list)->int:
    INF = float('inf')

    d = [[0 if i == j else INF for i in range(N)] for j in range(N)]

    for u, v, c in edges:
        d[u-1][v-1] = d[v-1][u-1] = c

    # warshall-floyd
    for k in range(N):
        for u in range(N):
            for v in range(N):
                if d[u][v] > d[u][k] + d[k][v]:
                    d[u][v] = d[u][k] + d[k][v]

    def used(edge: tuple)->bool:
        u, v, c = edge
        for s in range(N):
            if d[s][u-1] + c == d[s][v-1]:
                return True
        return False

    return sum(not used(edge) for edge in edges)


if __name__ == "__main__":
    M = 0
    N, M = map(int, input().split())
    edges = [tuple(int(s) for s in input().split()) for _ in range(M)]
    ans = candidates_of_no_shortest_paths(N, M, edges)
    print(ans)
Buggy python submission (verdict: Runtime Error):
def thin(H: int, W: int, C: list)->list:
    return [[C[h//2][w] for w in range(W)] for h in range(2*H)]


if __name__ == "__main__":
    H = 0
    H, W = map(int, input().split())
    C = [input() for _ in range(H)]
    ans = thin(H, W, C)
    print('\n'.join(ans))


Fixed submission:
def thin(H: int, W: int, C: list)->list:
    return [C[h//2] for h in range(2*H)]


if __name__ == "__main__":
    H = 0
    H, W = map(int, input().split())
    C = [input() for _ in range(H)]
    ans = thin(H, W, C)
    print('\n'.join(ans))
Buggy python submission (verdict: Runtime Error):
class UnionFind:
    def __init__(self, size: int):
        self.__size = size
        self.__root = [-1] * size

    def root(self, x: int)->int:
        if self.__root[x] < 0:
            return x
        self.__root[x] = self.root(self.__root[x])
        return self.__root[x]

    def size(self, x: int)->int:
        root = self.root(x)
        return self.__root[root]

    def same(self, x: int, y: int)->bool:
        return self.root(x) == self.root(y)

    def unite(self, x: int, y: int):
        rx, ry = self.root(x), self.root(y)

        if rx == ry:
            return

        if ry < rx:
            rx, ry = ry, rx

        self.__root[rx] += self.__root[ry]
        self.__root[ry] = rx


def connectivity(N: int, K: int, L: int, roads: list, rails: list)->list:
    road_uf, rail_uf = UnionFind(N), UnionFind(N)

    for p, q in roads:
        road_uf.unite(p-1, q-1)

    for r, s in rails:
        rail_uf.unite(r-1, s-1)

    freq = {}
    for i in range(N):
        p = (road_uf.root(i), rail_uf.root(i))
        freq.setdefault(p, 0)
        freq[p] += 1

    return [freq[(road_uf.root(i), rail_uf.root(i))] for i in range(N)]


if __name__ == "__main__":
    K = 0
    L = 0
    N, K, L = map(int, input().split())
    roads = [tuple(int(s) for s in input().split()) for _ in range(K)]
    rails = [tuple(int(s) for s in input().split()) for _ in range(K)]
    ans = connectivity(N, K, L, roads, rails)
    print(' '.join(map(str, ans)))


Fixed submission:
class UnionFind:
    def __init__(self, size: int):
        self.__size = size
        self.__root = [-1] * size

    def root(self, x: int)->int:
        if self.__root[x] < 0:
            return x
        self.__root[x] = self.root(self.__root[x])
        return self.__root[x]

    def size(self, x: int)->int:
        root = self.root(x)
        return self.__root[root]

    def same(self, x: int, y: int)->bool:
        return self.root(x) == self.root(y)

    def unite(self, x: int, y: int):
        rx, ry = self.root(x), self.root(y)

        if rx == ry:
            return

        if ry < rx:
            rx, ry = ry, rx

        self.__root[rx] += self.__root[ry]
        self.__root[ry] = rx


def connectivity(N: int, K: int, L: int, roads: list, rails: list)->list:
    road_uf, rail_uf = UnionFind(N), UnionFind(N)

    for p, q in roads:
        road_uf.unite(p-1, q-1)

    for r, s in rails:
        rail_uf.unite(r-1, s-1)

    freq = {}
    for i in range(N):
        p = (road_uf.root(i), rail_uf.root(i))
        freq.setdefault(p, 0)
        freq[p] += 1

    return [freq[(road_uf.root(i), rail_uf.root(i))] for i in range(N)]


if __name__ == "__main__":
    K = 0
    L = 0
    N, K, L = map(int, input().split())
    roads = [tuple(int(s) for s in input().split()) for _ in range(K)]
    rails = [tuple(int(s) for s in input().split()) for _ in range(L)]
    ans = connectivity(N, K, L, roads, rails)
    print(' '.join(map(str, ans)))
Buggy python submission (verdict: Runtime Error):
def _1d_reversi(S: str) -> int:
    n = len(S)
    return sum(s[i] != s[i-1] for i in range(1, n))


if __name__ == "__main__":
    S = input()
    ans = _1d_reversi(S)
    print(ans)


Fixed submission:
def _1d_reversi(S: str) -> int:
    n = len(S)
    return sum(S[i] != S[i-1] for i in range(1, n))


if __name__ == "__main__":
    S = input()
    ans = _1d_reversi(S)
    print(ans)
Buggy python submission (verdict: Runtime Error):
def str2turn(c: str) -> int:
    if c.lower() == 'a':
        return 0
    elif c.lower() == 'b':
        return 1
    return 2


def turn2str(t: int) -> str:
    if t == 0:
        return 'a'
    elif t == 1:
        return 'b'
    return 'c'


def card_game_for_three(Sa: str, Sb: str, Sc: str) -> str:
    indexes = [0, 0, 0]
    limits = [len(Sa), len(Sb), len(Sc)]
    cards = [Sa, Sb, Sc]

    turn = 0
    while indexes[turn] < limits[turn]:
        next_turn = cards[turn][indexes[turn]]
        indexes[turn] += 1
        turn = next_turn

    return turn2str(turn).upper()


if __name__ == "__main__":
    Sa = input()
    Sb = input()
    Sc = input()
    ans = card_game_for_three(Sa, Sb, Sc)
    print(ans)


Fixed submission:
def str2turn(c: str) -> int:
    if c.lower() == 'a':
        return 0
    elif c.lower() == 'b':
        return 1
    return 2


def turn2str(t: int) -> str:
    if t == 0:
        return 'a'
    elif t == 1:
        return 'b'
    return 'c'


def card_game_for_three(Sa: str, Sb: str, Sc: str) -> str:
    indexes = [0, 0, 0]
    limits = [len(Sa), len(Sb), len(Sc)]
    cards = [Sa, Sb, Sc]

    turn = 0
    while indexes[turn] < limits[turn]:
        next_turn = str2turn(cards[turn][indexes[turn]])
        indexes[turn] += 1
        turn = next_turn

    return turn2str(turn).upper()


if __name__ == "__main__":
    Sa = input()
    Sb = input()
    Sc = input()
    ans = card_game_for_three(Sa, Sb, Sc)
    print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
def tak_and_cards(N: int, A: int, x: list) -> int:
    count = 0
    for b in range(1, 1 << N):
        n, s = 0, 0
        for i in range(N):
            if (b >> i) & 1 == 0:
                continue
            n += 1
            s += x[i]

        if s == n * A:
            count += 1
    return count


if __name__ == "__main__":
    N, A = map(int, input().split())
    x = [int(s) for s in input().split()]
    ans = tak_and_cards(N, A, x)
    print(ans)


Fixed submission:
def tak_and_cards(N: int, A: int, X: list) -> int:
    #  部分点解法
    # :---------:
    # count = 0
    # for b in range(1, 1 << N):
    #     n, s = 0, 0
    #     for i in range(N):
    #         if (b >> i) & 1 == 0:
    #             continue
    #         n += 1
    #         s += X[i]

    #     if s == n * A:
    #         count += 1
    # return count
    max_X = max(X)
    dp = [[0] * (2 * max_X * N + 1) for _ in range(N + 1)]
    dp[0][max_X * N] = 1

    for k, x in enumerate(X):
        for t in range(2 * max_X * N + 1):
            y = x - A

            dp[k + 1][t] = dp[k][t]
            if 0 <= t - y and t - y <= 2 * max_X * N:
                dp[k + 1][t] += dp[k][t - y]

    return dp[N][max_X*N] - 1


if __name__ == "__main__":
    N, A = map(int, input().split())
    x = [int(s) for s in input().split()]
    ans = tak_and_cards(N, A, x)
    print(ans)
Buggy python submission (verdict: Runtime Error):
def unbalanced(s: str) -> tuple:
    for i in range(len(s) - 1):
        c1, c2 = s[i], s[i + 1]
        if c1 == c2:
            return i+1, i+2
        if i + 2 < len(s):
            c3 = s[i + 2]
            if c1 == c3:
                return i+1, i+3
    return False


if __name__ == "__main__":
    s = input()
    a, b = unbalanced(s)
    print(a, b)


Fixed submission:
def unbalanced(s: str) -> tuple:
    for i in range(len(s) - 1):
        c1, c2 = s[i], s[i + 1]
        if c1 == c2:
            return i+1, i+2
        if i + 2 < len(s):
            c3 = s[i + 2]
            if c1 == c3:
                return i+1, i+3
    return -1, -1


if __name__ == "__main__":
    s = input()
    a, b = unbalanced(s)
    print(a, b)
Buggy python submission (verdict: Runtime Error):
n,k = lr()
p = lr()

p.sort()
print(sum(p[:k]))

Fixed submission:
# input()
# int(input())
# map(int, input().split())
# list(map(int, input().split()))
# list(map(int, list(input()))) # スペースがない数字リストを読み込み
import math
import fractions
import sys
import bisect
import heapq  # 優先度付きキュー(最小値取り出し)
import collections
from collections import Counter
from collections import deque
import pprint

sr = lambda: input()
ir = lambda: int(sr())
lr = lambda: list(map(int, sr().split()))

"""nを素因数分解"""
"""2以上の整数n => [[素因数, 指数], ...]の2次元リスト"""
def factorization(n):
    arr = []
    temp = n
    if n == 1:
        return arr

    for i in range(2, int(-(-n**0.5//1))+1):
        if temp%i==0:
            cnt=0
            while temp%i==0:
                cnt+=1
                temp //= i
            arr.append([i, cnt])

    if temp!=1:
        arr.append([temp, 1])

    if arr==[]:
        arr.append([n, 1])

    return arr

# a^n
def power(a,n,mod):
    x = 1
    while n:
        if n & 1:
            x *= a % mod
        n >>= 1
        a *= a % mod
    return x % mod

# n*(n-1)*...*(l+1)*l
def kaijo(n, l, mod):
    if n == 0:
        return 1
    a = n
    tmp = n-1
    while(tmp >= l):
        a = a*tmp%mod
        tmp -= 1
    return a

inf = 10**18
mod = 10**9+7

n, k = lr()
p = lr()

p.sort()
print(sum(p[:k]))
Buggy python submission (verdict: Runtime Error):

inf = 10**18
mod = 10**9+7

a,v = map(int, input().split())
b,w = map(int, input().split())
t = int(input())
if v-w == 0:
    print('NO')
if t >= abs(a-b)/(v-w):
    print('YES')
else:
    print('NO')

Fixed submission:
inf = 10**18
mod = 10**9+7

a,v = map(int, input().split())
b,w = map(int, input().split())
t = int(input())
if v-w <= 0:
    print('NO')
else:
    if t >= abs(a-b)/(v-w):
        print('YES')
    else:
        print('NO')
Buggy python submission (verdict: Runtime Error):
inf = 10**15
mod = 10**9+7
x = int(input())
for i in range(-10**5, 10**5+1):
    tmp = i**5-x
    b = int(abs(tmp)**(1/5))
    if b**5 == abs(tmp):
        if tmp > 0:
            print('{} {}'.format(i, b))
        else:
            print('{} {}'.format(i, -b))
        sys.exit()

Fixed submission:
import sys
inf = 10**15
mod = 10**9+7
x = int(input())
for i in range(-10**5, 10**5+1):
    tmp = i**5-x
    b = int(abs(tmp)**(1/5))
    if b**5 == abs(tmp):
        if tmp > 0:
            print('{} {}'.format(i, b))
        else:
            print('{} {}'.format(i, -b))
        sys.exit()
Buggy python submission (verdict: Time Limit Exceeded):
n = int(input())
a = list(map(int, input().split()))
ans=0
for k in range(2,n):
    for i in range(n-k):
        if a[i]+a[i+k] == k:
            ans+=1
print(ans)

Fixed submission:
import bisect
inf = 10**15
mod = 10**9+7
n = int(input())
a = list(map(int, input().split()))
dicL = [a[i]+i for i in range(n)]
dicR = [i-a[i] for i in range(n)]
dicL.sort()
dicR.sort()
ans = 0
for x in range(n-1):
    indL = bisect.bisect_left(dicL, x)
    indR = bisect.bisect_left(dicR, x)
    countL = 0
    countR = 0
    while indL != n and dicL[indL] == x:
        countL+=1
        indL+=1
    while indR != n and dicR[indR] == x:
        countR+=1
        indR+=1
    ans+=countL*countR
print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
import fractions
k = int(input())
ans = 0
for i in range(1,k+1):
    for j in range(1,k+1):
        for l in range(1,k+1):
            f = fractions.gcd(i, j)
            ans += fractions.gcd(f, l)
print(ans)

Fixed submission:
from math import gcd
k = int(input())
ans = 0
for i in range(1,k+1):
    for j in range(1,k+1):
        for l in range(1,k+1):
            f = gcd(i, j)
            ans += gcd(f, l)
print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
n = int(input())
s = input()
ans=0
for i in range(n-2):
    a = s[i]
    for j in range(i+1, n-1):
        b = s[j]
        for k in range(j+1, n):
            if 2*j != i+k:
                c = s[k]
                if a!=b and b!=c and c!=a:
                    ans+=1
print(ans)

Fixed submission:
import bisect

n = int(input())
s = input()
r = []
b = []
g = []
for i,c in enumerate(s):
    if c == 'R':
        r.append(i)
    elif c == 'B':
        b.append(i)
    else:
        g.append(i)
g_leng = len(g)
r_leng = len(r)
b_leng = len(b)
ans = g_leng*r_leng*b_leng
subans = 0
for j in b:
    for i in r:
        g_ind = bisect.bisect_left(g, 2*j-i)
        if g_ind != g_leng and g[g_ind] == 2*j-i:
            subans+=1
        g_ind = bisect.bisect_left(g, 2*i-j)
        if g_ind != g_leng and g[g_ind] == 2*i-j:
            subans+=1
        g_ind = bisect.bisect_left(g, (i + j) // 2)
        if g_ind != g_leng and g[g_ind] == (i + j) / 2:
            subans += 1
print(ans-subans)
Buggy python submission (verdict: Time Limit Exceeded):
import sys
n = int(input())
s = list(map(int, input().split()))
tmp = []
for i in s:
    if i in tmp:
        print('NO')
        sys.exit()
    tmp.append(i)
print('YES')

Fixed submission:
import sys
n = int(input())
s = list(map(int, input().split()))
s.sort()
k = 0
for i in s:
    if i == k:
        print('NO')
        sys.exit()
    k = i
print('YES')

Buggy python submission (verdict: Time Limit Exceeded):
import sys
n = int(input())
s = list(map(int, input().split()))
tmp = []
for i in s:
    if i in tmp:
        print('NO')
        sys.exit()
    tmp.append(i)
print('YES')

Fixed submission:
import sys
n = int(input())
s = list(map(int, input().split()))
s.sort()
k = 0
for i in s:
    if i == k:
        print('NO')
        sys.exit()
    k = i
print('YES')
Buggy python submission (verdict: Runtime Error):
h,n = map(int, input().split())
total = 0
for i in range(n):
    a = int(input())
    total += a
if h >= total:
    print('Yes')
else:
    print('No')

Fixed submission:
h,n = map(int, input().split())
a = list(map(int, input().split()))
total = 0
for i in range(n):
    total += a[i]
if total >= h:
    print('Yes')
else:
    print('No')
Buggy python submission (verdict: Time Limit Exceeded):
h,n = map(int, input().split())
magic = []
INF = 10**8

for i in range(n):
    a,b = map(int, input().split())
    magic.append([a, b])

dp = [[INF for j in range(h+1)] for i in range(n+1)] #体力がjのモンスターをi番目の魔法までを使って倒せる消費魔力の最小値

for i in range(n):
    for j in range(h):
        if j+1 > magic[i][0]:
            dp[i+1][j+1] = min(dp[i][j+1], dp[i][j+1-magic[i][0]] + magic[i][1], dp[i+1][j+1-magic[i][0]] + magic[i][1])
        else:
            dp[i+1][j+1] = min(dp[i][j+1], magic[i][1])
            
print(dp[n][h])

Fixed submission:
h,n = map(int, input().split())
magic = []
INF = 10**8
dp = [[INF for j in range(h+1)] for i in range(n+1)] #体力がjのモンスターをi番目の魔法までを使って倒せる消費魔力の最小値
 
for i in range(n):
    a,b = map(int, input().split())
    magic.append([a, b])
 
for i in range(n):
    for j in range(h):
        if j+1 > magic[i][0]:
            dp[i+1][j+1] = min(dp[i][j+1], dp[i][j+1-magic[i][0]] + magic[i][1], dp[i+1][j+1-magic[i][0]] + magic[i][1])
        else:
            dp[i+1][j+1] = min(dp[i][j+1], magic[i][1])
            
print(dp[n][h])

Buggy python submission (verdict: Time Limit Exceeded):
h,n = map(int, input().split())
magic = []
INF = 10**12

for i in range(n):
    a,b = map(int, input().split())
    magic.append([a, b])

dp = [[INF for j in range(h+1)] for i in range(n+1)] #体力がjのモンスターをi番目の魔法までを使って倒せる消費魔力の最小値

for i in range(n):
    for j in range(h):
        if j+1 > magic[i][0]:
            dp[i+1][j+1] = min(dp[i][j+1], dp[i][j+1-magic[i][0]] + magic[i][1], dp[i+1][j+1-magic[i][0]] + magic[i][1])
        else:
            dp[i+1][j+1] = min(dp[i][j+1], magic[i][1])
            
print(dp[n][h])

Fixed submission:
h,n = map(int, input().split())
magic = []
INF = 10**8
dp = [[INF for j in range(h+1)] for i in range(n+1)] #体力がjのモンスターをi番目の魔法までを使って倒せる消費魔力の最小値
 
for i in range(n):
    a,b = map(int, input().split())
    magic.append([a, b])
 
for i in range(n):
    for j in range(h):
        if j+1 > magic[i][0]:
            dp[i+1][j+1] = min(dp[i][j+1], dp[i][j+1-magic[i][0]] + magic[i][1], dp[i+1][j+1-magic[i][0]] + magic[i][1])
        else:
            dp[i+1][j+1] = min(dp[i][j+1], magic[i][1])
            
print(dp[n][h])