Buggy python submission (verdict: Time Limit Exceeded):
#!/usr/bin/env python3
import numpy as np
import itertools

# Generated by 1.1.6 https://github.com/kyuridenamida/atcoder-tools  (tips: You use the default template now. You can remove this line by using your custom template)
def main():
    # Failed to predict input format
    H, W, K = list(map(int, input().split()))
    S = np.ndarray([H, W])
    answer = np.inf

    for h in range(H):
        row = list(map(int, list(input())))
        S[h, :] = row

    for n in range(H):
        for comb in itertools.combinations([h for h in range(1, H)], n):
            num_horizontal_cut = len(comb)
            if num_horizontal_cut == 0:
                sub_S = S.sum(axis=0)
            else:
                sub_S = np.zeros([num_horizontal_cut+1, W])
                head = 0

                c_prev = 0
                for i, c in enumerate(comb):
                    sub_S[i] = S[c_prev: c].sum(axis=0)
                    c_prev = c
                sub_S[num_horizontal_cut] = S[c_prev:].sum(axis=0)

            current_sum = np.zeros(num_horizontal_cut+1)
            num_cut = 0
            if np.any(sub_S > K):
                num_cut = np.inf
                continue
            for line in sub_S.T:
                if np.any(current_sum + line > K):
                    current_sum[:] = 0#np.zeros(num_horizontal_cut+1)
                    num_cut += 1
                current_sum += line

            if num_cut + num_horizontal_cut < answer:
                answer = num_cut + num_horizontal_cut
    print(answer)
    pass

if __name__ == '__main__':
    main()


Fixed submission:
import numpy as np
from itertools import product
H, W, K = map(int, input().split())
G = np.array([list(map(int, list(input()))) for _ in range(H)])
 
ans = float('inf')
for pattern in product([0, 1], repeat=H - 1):
    # スライスで横方向への割り方を表現する
    div = [0] + [i for i, p in enumerate(pattern, start=1) if p == 1] + [10]
 
    # 横方向へ割った後、各ブロックについて縦方向にホワイトチョコの数を修正
    rows = []
    for i in range(len(div) - 1):
        rows.append(np.sum(G[div[i]: div[i + 1]], axis=0))
 
    # 縦方向にすでにK個より多いホワイトチョコが含まれている場合はどうにもならない
    if [r for r in rows if np.any(r > K)]:
        continue
 
    # 縦方向に貪欲に割っていく
    rows = [r.tolist() for r in rows]
    tmp_ans = 0
    counts = [0] * len(rows)
    w = 0
    while w < W:
        for r in range(len(rows)):
            counts[r] += rows[r][w]
        if any([c > K for c in counts]):
            counts = [0] * len(rows)
            w -= 1
            tmp_ans += 1
        w += 1
 
    # 横に割った分を加算
    tmp_ans += len(div) - 2
    ans = min(ans, tmp_ans)
 
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
#!/usr/bin/env python3
import numpy as np
import itertools

# Generated by 1.1.6 https://github.com/kyuridenamida/atcoder-tools  (tips: You use the default template now. You can remove this line by using your custom template)
def main():
    # Failed to predict input format
    H, W, K = list(map(int, input().split()))
    S = np.ndarray([H, W])
    answer = np.inf

    for h in range(H):
        row = list(map(int, list(input())))
        S[h, :] = row

    for n in range(H):
        for comb in itertools.combinations([h for h in range(1, H)], n):
            num_horizontal_cut = len(comb)
            if num_horizontal_cut == 0:
                sub_S = S.sum(axis=0)
            else:
                sub_S = np.zeros([num_horizontal_cut+1, W])
                head = 0

                c_prev = 0
                for i, c in enumerate(comb):
                    sub_S[i] = S[c_prev: c].sum(axis=0)
                    c_prev = c
                sub_S[num_horizontal_cut] = S[c_prev:].sum(axis=0)
                """
                for h in range(H):
                    if h in comb:
                        head += 1
                    sub_S[head, :] += S[h, :]
                """

            current_sum = np.zeros(num_horizontal_cut+1)
            num_cut = 0
            if np.any(sub_S > K):
                num_cut = np.inf
                continue
            for line in sub_S.T:
                if np.any(current_sum + line > K):
                    current_sum = np.zeros(num_horizontal_cut+1)
                    num_cut += 1
                current_sum += line

            if num_cut + num_horizontal_cut < answer:
                answer = num_cut + num_horizontal_cut
    print(answer)
    pass

if __name__ == '__main__':
    main()


Fixed submission:
import numpy as np
from itertools import product
H, W, K = map(int, input().split())
G = np.array([list(map(int, list(input()))) for _ in range(H)])
 
ans = float('inf')
for pattern in product([0, 1], repeat=H - 1):
    # スライスで横方向への割り方を表現する
    div = [0] + [i for i, p in enumerate(pattern, start=1) if p == 1] + [10]
 
    # 横方向へ割った後、各ブロックについて縦方向にホワイトチョコの数を修正
    rows = []
    for i in range(len(div) - 1):
        rows.append(np.sum(G[div[i]: div[i + 1]], axis=0))
 
    # 縦方向にすでにK個より多いホワイトチョコが含まれている場合はどうにもならない
    if [r for r in rows if np.any(r > K)]:
        continue
 
    # 縦方向に貪欲に割っていく
    rows = [r.tolist() for r in rows]
    tmp_ans = 0
    counts = [0] * len(rows)
    w = 0
    while w < W:
        for r in range(len(rows)):
            counts[r] += rows[r][w]
        if any([c > K for c in counts]):
            counts = [0] * len(rows)
            w -= 1
            tmp_ans += 1
        w += 1
 
    # 横に割った分を加算
    tmp_ans += len(div) - 2
    ans = min(ans, tmp_ans)
 
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
#!/usr/bin/env python3
import numpy as np
import itertools

# Generated by 1.1.6 https://github.com/kyuridenamida/atcoder-tools  (tips: You use the default template now. You can remove this line by using your custom template)
def main():
    # Failed to predict input format
    H, W, K = list(map(int, input().split()))
    S = np.ndarray([H, W])
    answer = np.inf

    for h in range(H):
        row = input()
        for w in range(W):
            S[h, w] = int(row[w])
    for n in range(H+1):
        for comb in itertools.combinations([h for h in range(1, H)], n):
            if len(comb) == 0:
                sub_S = S.sum(axis=0)
            else:
                sub_S = np.zeros([len(comb)+1, W])

                head = 0
                for h in range(H):
                    if h in comb:
                        head += 1
                    sub_S[head, :] += S[h, :]
            current_sum = np.zeros(len(comb)+1)
            num_cut = 0
            for line in sub_S.T:
                if np.any(line > K):
                    num_cut = np.inf
                    break
                if np.any(current_sum + line > K):
                    current_sum = np.zeros(len(comb)+1)
                    num_cut += 1
                current_sum += line
            if num_cut + len(comb) < answer:
                answer = num_cut + len(comb)
    print(answer)
    pass

if __name__ == '__main__':
    main()


Fixed submission:
import numpy as np
from itertools import product
H, W, K = map(int, input().split())
G = np.array([list(map(int, list(input()))) for _ in range(H)])
 
ans = float('inf')
for pattern in product([0, 1], repeat=H - 1):
    # スライスで横方向への割り方を表現する
    div = [0] + [i for i, p in enumerate(pattern, start=1) if p == 1] + [10]
 
    # 横方向へ割った後、各ブロックについて縦方向にホワイトチョコの数を修正
    rows = []
    for i in range(len(div) - 1):
        rows.append(np.sum(G[div[i]: div[i + 1]], axis=0))
 
    # 縦方向にすでにK個より多いホワイトチョコが含まれている場合はどうにもならない
    if [r for r in rows if np.any(r > K)]:
        continue
 
    # 縦方向に貪欲に割っていく
    rows = [r.tolist() for r in rows]
    tmp_ans = 0
    counts = [0] * len(rows)
    w = 0
    while w < W:
        for r in range(len(rows)):
            counts[r] += rows[r][w]
        if any([c > K for c in counts]):
            counts = [0] * len(rows)
            w -= 1
            tmp_ans += 1
        w += 1
 
    # 横に割った分を加算
    tmp_ans += len(div) - 2
    ans = min(ans, tmp_ans)
 
print(ans)