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


def main():
    input = sys.stdin.readline

    h, w, k = map(int, input().split())
    s = [input() for _ in range(h)]

    cs = [[0] * (w + 1) for _ in range(h + 1)]
    for i in range(h):
        for j in range(w):
            cs[i +
               1][j +
                  1] = cs[i][j + 1] + cs[i + 1][j] - cs[i][j] + int(s[i][j])

    # print(*cs, sep='\n')
    # print()

    ans = h + w
    for bit in range(1 << (h - 1)):
        border = [0]
        cand = 0
        for i in range(h):
            if (bit >> i) & 1:
                border.append(i + 1)
                cand += 1
        border.append(h)
        if cand >= ans:
            continue
        j0 = 0
        j = 1
        while j <= w:
            # for j in range(1, w + 1):
            for i, bi in enumerate(border[:-1]):
                # print(
                #     j0, j, border[i], border[i + 1], cs[border[i + 1]][j] -
                #     cs[border[i + 1]][j0] - cs[border[i]][j] + cs[border[i]][j0])
                if cs[border[i + 1]][j] - cs[border[
                        i + 1]][j0] - cs[bi][j] + cs[bi][j0] > k:
                    cand += 1
                    j0 = j - 1
                    j -= 1
                    # print(border[i + 1], j, cs[border[i + 1]][j])
                    break
            j += 1

        # print(border, cand0, cand, cut)
        ans = min(ans, cand)
    print(ans)


if __name__ == '__main__':
    main()


Fixed submission:
import sys


def main():
    input = sys.stdin.readline

    h, w, k = map(int, input().split())
    s = [input() for _ in range(h)]

    cs = [[0] * (w + 1) for _ in range(h + 1)]
    for i in range(h):
        for j in range(w):
            cs[i +
               1][j +
                  1] = cs[i][j + 1] + cs[i + 1][j] - cs[i][j] + int(s[i][j])

    # print(*cs, sep='\n')
    # print()

    ans = h + w
    for bit in range(1 << (h - 1)):
        border = [0]
        cand = 0
        for i in range(h):
            if (bit >> i) & 1:
                border.append(i + 1)
                cand += 1
        border.append(h)
        if cand >= ans:
            continue
        j0 = 0
        j = 1
        while j <= w:
            # for j in range(1, w + 1):
            for i, bi in enumerate(border[:-1]):
                # print(
                #     j0, j, border[i], border[i + 1], cs[border[i + 1]][j] -
                #     cs[border[i + 1]][j0] - cs[border[i]][j] + cs[border[i]][j0])
                if cs[border[i + 1]][j] - cs[border[
                        i + 1]][j0] - cs[bi][j] + cs[bi][j0] > k:
                    cand += 1
                    j0 = j - 1
                    j -= 1
                    # print(border[i + 1], j, cs[border[i + 1]][j])
                    break
            j += 1
            if cand >= ans:
                break

        # print(border, cand0, cand, cut)
        ans = min(ans, cand)
    print(ans)


if __name__ == '__main__':
    main()

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


def main():
    input = sys.stdin.readline

    h, w, k = map(int, input().split())
    s = [input() for _ in range(h)]

    cs = [[0] * (w + 1) for _ in range(h + 1)]
    for i in range(h):
        for j in range(w):
            cs[i +
               1][j +
                  1] = cs[i][j + 1] + cs[i + 1][j] - cs[i][j] + int(s[i][j])

    # print(*cs, sep='\n')
    # print()

    ans = h + w
    for bit in range(1 << (h - 1)):
        border = [0]
        cand = 0
        for i in range(h):
            if (bit >> i) & 1:
                border.append(i + 1)
                cand += 1
        border.append(h)
        cand0 = cand
        j0 = 0
        j = 1
        while j <= w:
            # for j in range(1, w + 1):
            for i, bi in enumerate(border[:-1]):
                # print(
                #     j0, j, border[i], border[i + 1], cs[border[i + 1]][j] -
                #     cs[border[i + 1]][j0] - cs[border[i]][j] + cs[border[i]][j0])
                if cs[border[i + 1]][j] - cs[border[
                        i + 1]][j0] - cs[bi][j] + cs[bi][j0] > k:
                    cand += 1
                    j0 = j - 1
                    j -= 1
                    # print(border[i + 1], j, cs[border[i + 1]][j])
                    break
            j += 1

        # print(border, cand0, cand, cut)
        ans = min(ans, cand)
    print(ans)


if __name__ == '__main__':
    main()


Fixed submission:
import sys


def main():
    input = sys.stdin.readline

    h, w, k = map(int, input().split())
    s = [input() for _ in range(h)]

    cs = [[0] * (w + 1) for _ in range(h + 1)]
    for i in range(h):
        for j in range(w):
            cs[i +
               1][j +
                  1] = cs[i][j + 1] + cs[i + 1][j] - cs[i][j] + int(s[i][j])

    # print(*cs, sep='\n')
    # print()

    ans = h + w
    for bit in range(1 << (h - 1)):
        border = [0]
        cand = 0
        for i in range(h):
            if (bit >> i) & 1:
                border.append(i + 1)
                cand += 1
        border.append(h)
        if cand >= ans:
            continue
        j0 = 0
        j = 1
        while j <= w:
            # for j in range(1, w + 1):
            for i, bi in enumerate(border[:-1]):
                # print(
                #     j0, j, border[i], border[i + 1], cs[border[i + 1]][j] -
                #     cs[border[i + 1]][j0] - cs[border[i]][j] + cs[border[i]][j0])
                if cs[border[i + 1]][j] - cs[border[
                        i + 1]][j0] - cs[bi][j] + cs[bi][j0] > k:
                    cand += 1
                    j0 = j - 1
                    j -= 1
                    # print(border[i + 1], j, cs[border[i + 1]][j])
                    break
            j += 1
            if cand >= ans:
                break

        # print(border, cand0, cand, cut)
        ans = min(ans, cand)
    print(ans)


if __name__ == '__main__':
    main()

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


def main():
    input = sys.stdin.readline

    h, w, k = map(int, input().split())
    s = [input() for _ in range(h)]

    cs = [[0] * (w + 1) for _ in range(h + 1)]
    for i in range(h):
        for j in range(w):
            cs[i +
               1][j +
                  1] = cs[i][j + 1] + cs[i + 1][j] - cs[i][j] + int(s[i][j])

    # print(*cs, sep='\n')
    # print()

    ans = h + w
    for bit in range(1 << (h - 1)):
        border = [0]
        cand = 0
        for i in range(h):
            if (bit >> i) & 1 == 1:
                border.append(i + 1)
                cand += 1
        border.append(h)
        cand0 = cand
        j0 = 0
        j = 1
        while j <= w:
            # for j in range(1, w + 1):
            for i, bi in enumerate(border[:-1]):
                # print(
                #     j0, j, border[i], border[i + 1], cs[border[i + 1]][j] -
                #     cs[border[i + 1]][j0] - cs[border[i]][j] + cs[border[i]][j0])
                if cs[border[i + 1]][j] - cs[border[
                        i + 1]][j0] - cs[bi][j] + cs[bi][j0] > k:
                    cand += 1
                    j0 = j - 1
                    j -= 1
                    # print(border[i + 1], j, cs[border[i + 1]][j])
                    break
            j += 1

        # print(border, cand0, cand, cut)
        ans = min(ans, cand)
    print(ans)


if __name__ == '__main__':
    main()


Fixed submission:
import sys


def main():
    input = sys.stdin.readline

    h, w, k = map(int, input().split())
    s = [input() for _ in range(h)]

    cs = [[0] * (w + 1) for _ in range(h + 1)]
    for i in range(h):
        for j in range(w):
            cs[i +
               1][j +
                  1] = cs[i][j + 1] + cs[i + 1][j] - cs[i][j] + int(s[i][j])

    # print(*cs, sep='\n')
    # print()

    ans = h + w
    for bit in range(1 << (h - 1)):
        border = [0]
        cand = 0
        for i in range(h):
            if (bit >> i) & 1:
                border.append(i + 1)
                cand += 1
        border.append(h)
        if cand >= ans:
            continue
        j0 = 0
        j = 1
        while j <= w:
            # for j in range(1, w + 1):
            for i, bi in enumerate(border[:-1]):
                # print(
                #     j0, j, border[i], border[i + 1], cs[border[i + 1]][j] -
                #     cs[border[i + 1]][j0] - cs[border[i]][j] + cs[border[i]][j0])
                if cs[border[i + 1]][j] - cs[border[
                        i + 1]][j0] - cs[bi][j] + cs[bi][j0] > k:
                    cand += 1
                    j0 = j - 1
                    j -= 1
                    # print(border[i + 1], j, cs[border[i + 1]][j])
                    break
            j += 1
            if cand >= ans:
                break

        # print(border, cand0, cand, cut)
        ans = min(ans, cand)
    print(ans)


if __name__ == '__main__':
    main()

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


def main():
    input = sys.stdin.readline

    h, w, k = map(int, input().split())
    s = [input() for _ in range(h)]

    cs = [[0] * (w + 1) for _ in range(h + 1)]
    for i in range(h):
        for j in range(w):
            cs[i +
               1][j +
                  1] = cs[i][j + 1] + cs[i + 1][j] - cs[i][j] + int(s[i][j])

    # print(*cs, sep='\n')
    # print()

    ans = h + w
    for bit in range(1 << (h - 1)):
        border = [0]
        cand = 0
        for i in range(h):
            if (bit >> i) & 1 == 1:
                border.append(i + 1)
                cand += 1
        border.append(h)
        cand0 = cand
        j0 = 0
        cut = []
        j = 1
        while j <= w:
            # for j in range(1, w + 1):
            for i, bi in enumerate(border[:-1]):
                # print(
                #     j0, j, border[i], border[i + 1], cs[border[i + 1]][j] -
                #     cs[border[i + 1]][j0] - cs[border[i]][j] + cs[border[i]][j0])
                if cs[border[i + 1]][j] - cs[border[
                        i + 1]][j0] - cs[bi][j] + cs[bi][j0] > k:
                    cand += 1
                    j0 = j - 1
                    j -= 1
                    cut.append(j - 1)
                    # print(border[i + 1], j, cs[border[i + 1]][j])
                    break
            j += 1

        # print(border, cand0, cand, cut)
        ans = min(ans, cand)
    print(ans)


if __name__ == '__main__':
    main()


Fixed submission:
import sys


def main():
    input = sys.stdin.readline

    h, w, k = map(int, input().split())
    s = [input() for _ in range(h)]

    cs = [[0] * (w + 1) for _ in range(h + 1)]
    for i in range(h):
        for j in range(w):
            cs[i +
               1][j +
                  1] = cs[i][j + 1] + cs[i + 1][j] - cs[i][j] + int(s[i][j])

    # print(*cs, sep='\n')
    # print()

    ans = h + w
    for bit in range(1 << (h - 1)):
        border = [0]
        cand = 0
        for i in range(h):
            if (bit >> i) & 1:
                border.append(i + 1)
                cand += 1
        border.append(h)
        if cand >= ans:
            continue
        j0 = 0
        j = 1
        while j <= w:
            # for j in range(1, w + 1):
            for i, bi in enumerate(border[:-1]):
                # print(
                #     j0, j, border[i], border[i + 1], cs[border[i + 1]][j] -
                #     cs[border[i + 1]][j0] - cs[border[i]][j] + cs[border[i]][j0])
                if cs[border[i + 1]][j] - cs[border[
                        i + 1]][j0] - cs[bi][j] + cs[bi][j0] > k:
                    cand += 1
                    j0 = j - 1
                    j -= 1
                    # print(border[i + 1], j, cs[border[i + 1]][j])
                    break
            j += 1
            if cand >= ans:
                break

        # print(border, cand0, cand, cut)
        ans = min(ans, cand)
    print(ans)


if __name__ == '__main__':
    main()

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


def main():
    input = sys.stdin.readline

    h, w, k = map(int, input().split())
    s = [input() for _ in range(h)]

    cs = [[0] * (w + 1) for _ in range(h + 1)]
    for i in range(h):
        for j in range(w):
            cs[i +
               1][j +
                  1] = cs[i][j + 1] + cs[i + 1][j] - cs[i][j] + int(s[i][j])

    # print(*cs, sep='\n')
    # print()

    ans = h + w
    for bit in range(1 << (h - 1)):
        border = [0]
        cand = 0
        for i in range(h):
            if (bit >> i) & 1 == 1:
                border.append(i + 1)
                cand += 1
        border.append(h)
        cand0 = cand
        j0 = 0
        cut = []
        j = 1
        while j <= w:
            # for j in range(1, w + 1):
            for i in range(len(border) - 1):
                # print(
                #     j0, j, border[i], border[i + 1], cs[border[i + 1]][j] -
                #     cs[border[i + 1]][j0] - cs[border[i]][j] + cs[border[i]][j0])
                if cs[border[i + 1]][j] - cs[border[i + 1]][j0] - cs[
                        border[i]][j] + cs[border[i]][j0] > k:
                    cand += 1
                    j0 = j - 1
                    j -= 1
                    cut.append(j - 1)
                    # print(border[i + 1], j, cs[border[i + 1]][j])
                    break
            j += 1

        # print(border, cand0, cand, cut)
        ans = min(ans, cand)
    print(ans)


if __name__ == '__main__':
    main()


Fixed submission:
import sys


def main():
    input = sys.stdin.readline

    h, w, k = map(int, input().split())
    s = [input() for _ in range(h)]

    cs = [[0] * (w + 1) for _ in range(h + 1)]
    for i in range(h):
        for j in range(w):
            cs[i +
               1][j +
                  1] = cs[i][j + 1] + cs[i + 1][j] - cs[i][j] + int(s[i][j])

    # print(*cs, sep='\n')
    # print()

    ans = h + w
    for bit in range(1 << (h - 1)):
        border = [0]
        cand = 0
        for i in range(h):
            if (bit >> i) & 1:
                border.append(i + 1)
                cand += 1
        border.append(h)
        if cand >= ans:
            continue
        j0 = 0
        j = 1
        while j <= w:
            # for j in range(1, w + 1):
            for i, bi in enumerate(border[:-1]):
                # print(
                #     j0, j, border[i], border[i + 1], cs[border[i + 1]][j] -
                #     cs[border[i + 1]][j0] - cs[border[i]][j] + cs[border[i]][j0])
                if cs[border[i + 1]][j] - cs[border[
                        i + 1]][j0] - cs[bi][j] + cs[bi][j0] > k:
                    cand += 1
                    j0 = j - 1
                    j -= 1
                    # print(border[i + 1], j, cs[border[i + 1]][j])
                    break
            j += 1
            if cand >= ans:
                break

        # print(border, cand0, cand, cut)
        ans = min(ans, cand)
    print(ans)


if __name__ == '__main__':
    main()

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

h, w, k = map(int, input().split())
s = [input() for _ in range(h)]

cs = [[0] * (w + 1) for _ in range(h + 1)]
for i in range(h):
    for j in range(w):
        cs[i + 1][j +
                  1] = cs[i][j + 1] + cs[i + 1][j] - cs[i][j] + int(s[i][j])

# print(*cs, sep='\n')
# print()

ans = h + w
for bit in range(1 << (h - 1)):
    border = [0]
    cand = 0
    for i in range(h):
        if (bit >> i) & 1 == 1:
            border.append(i + 1)
            cand += 1
    border.append(h)
    cand0 = cand
    j0 = 0
    cut = []
    j = 1
    while j <= w:
        # for j in range(1, w + 1):
        for i in range(len(border) - 1):
            # print(
            #     j0, j, border[i], border[i + 1], cs[border[i + 1]][j] -
            #     cs[border[i + 1]][j0] - cs[border[i]][j] + cs[border[i]][j0])
            if cs[border[i + 1]][j] - cs[border[i + 1]][j0] - cs[
                    border[i]][j] + cs[border[i]][j0] > k:
                cand += 1
                j0 = j - 1
                j -= 1
                cut.append(j - 1)
                # print(border[i + 1], j, cs[border[i + 1]][j])
                break
        j += 1

    # print(border, cand0, cand, cut)
    ans = min(ans, cand)
print(ans)


Fixed submission:
import sys


def main():
    input = sys.stdin.readline

    h, w, k = map(int, input().split())
    s = [input() for _ in range(h)]

    cs = [[0] * (w + 1) for _ in range(h + 1)]
    for i in range(h):
        for j in range(w):
            cs[i +
               1][j +
                  1] = cs[i][j + 1] + cs[i + 1][j] - cs[i][j] + int(s[i][j])

    # print(*cs, sep='\n')
    # print()

    ans = h + w
    for bit in range(1 << (h - 1)):
        border = [0]
        cand = 0
        for i in range(h):
            if (bit >> i) & 1:
                border.append(i + 1)
                cand += 1
        border.append(h)
        if cand >= ans:
            continue
        j0 = 0
        j = 1
        while j <= w:
            # for j in range(1, w + 1):
            for i, bi in enumerate(border[:-1]):
                # print(
                #     j0, j, border[i], border[i + 1], cs[border[i + 1]][j] -
                #     cs[border[i + 1]][j0] - cs[border[i]][j] + cs[border[i]][j0])
                if cs[border[i + 1]][j] - cs[border[
                        i + 1]][j0] - cs[bi][j] + cs[bi][j0] > k:
                    cand += 1
                    j0 = j - 1
                    j -= 1
                    # print(border[i + 1], j, cs[border[i + 1]][j])
                    break
            j += 1
            if cand >= ans:
                break

        # print(border, cand0, cand, cut)
        ans = min(ans, cand)
    print(ans)


if __name__ == '__main__':
    main()

Buggy python submission (verdict: Time Limit Exceeded):
h, w, k = map(int, input().split())
s = [input() for _ in range(h)]

cs = [[0] * (w + 1) for _ in range(h + 1)]
for i in range(h):
    for j in range(w):
        cs[i + 1][j +
                  1] = cs[i][j + 1] + cs[i + 1][j] - cs[i][j] + int(s[i][j])

# print(*cs, sep='\n')
# print()

ans = h + w
for bit in range(1 << (h - 1)):
    border = [0]
    cand = 0
    for i in range(h):
        if (bit >> i) & 1 == 1:
            border.append(i + 1)
            cand += 1
    border.append(h)
    cand0 = cand
    j0 = 0
    cut = []
    j = 1
    while j <= w:
        # for j in range(1, w + 1):
        for i in range(len(border) - 1):
            # print(
            #     j0, j, border[i], border[i + 1], cs[border[i + 1]][j] -
            #     cs[border[i + 1]][j0] - cs[border[i]][j] + cs[border[i]][j0])
            if cs[border[i + 1]][j] - cs[border[i + 1]][j0] - cs[
                    border[i]][j] + cs[border[i]][j0] > k:
                cand += 1
                j0 = j - 1
                j -= 1
                cut.append(j - 1)
                # print(border[i + 1], j, cs[border[i + 1]][j])
                break
        j += 1

    # print(border, cand0, cand, cut)
    ans = min(ans, cand)
print(ans)


Fixed submission:
import sys


def main():
    input = sys.stdin.readline

    h, w, k = map(int, input().split())
    s = [input() for _ in range(h)]

    cs = [[0] * (w + 1) for _ in range(h + 1)]
    for i in range(h):
        for j in range(w):
            cs[i +
               1][j +
                  1] = cs[i][j + 1] + cs[i + 1][j] - cs[i][j] + int(s[i][j])

    # print(*cs, sep='\n')
    # print()

    ans = h + w
    for bit in range(1 << (h - 1)):
        border = [0]
        cand = 0
        for i in range(h):
            if (bit >> i) & 1:
                border.append(i + 1)
                cand += 1
        border.append(h)
        if cand >= ans:
            continue
        j0 = 0
        j = 1
        while j <= w:
            # for j in range(1, w + 1):
            for i, bi in enumerate(border[:-1]):
                # print(
                #     j0, j, border[i], border[i + 1], cs[border[i + 1]][j] -
                #     cs[border[i + 1]][j0] - cs[border[i]][j] + cs[border[i]][j0])
                if cs[border[i + 1]][j] - cs[border[
                        i + 1]][j0] - cs[bi][j] + cs[bi][j0] > k:
                    cand += 1
                    j0 = j - 1
                    j -= 1
                    # print(border[i + 1], j, cs[border[i + 1]][j])
                    break
            j += 1
            if cand >= ans:
                break

        # print(border, cand0, cand, cut)
        ans = min(ans, cand)
    print(ans)


if __name__ == '__main__':
    main()