Buggy python submission (verdict: Time Limit Exceeded):
s = input()
maximum = [(0, [()])]

s = tuple(s)
for i in range(1, len(s) + 1):
    j = i - 1
    while j >= 0:
        max_count, previous = maximum[j]
        if max_count < 0:
            j -= 1
            continue
        current = s[j:i]
        if any(p != current for p in previous):
            if len(maximum) == i + 1:
                mc, blocks = maximum[i]
                if mc == max_count + 1:
                    blocks.append(current)
                    break
            else:
                maximum.append((max_count + 1, [current]))
        j -= 1
    else:
        if len(maximum) != i + 1:
            maximum.append((-1, []))
    assert len(maximum) == i + 1

print(maximum[-1][0])

Fixed submission:
s = input()
maximum = [(0, [()])]

s = tuple(s)
for i in range(1, len(s) + 1):
    j = i - 1
    while j >= 0:
        max_count, previous = maximum[j]
        if max_count < 0:
            j -= 1
            continue
        current = s[j:i]
        if any(p != current for p in previous):
            if len(maximum) == i + 1:
                mc, blocks = maximum[i]
                if mc == max_count + 1:
                    blocks.append(current)
                break
            else:
                maximum.append((max_count + 1, [current]))
        j -= 1
    else:
        if len(maximum) != i + 1:
            maximum.append((-1, []))
    assert len(maximum) == i + 1

print(maximum[-1][0])

Buggy python submission (verdict: Runtime Error):
def get_cache(chars, start, end, cache=dict()):
    pair = (start, end)
    block = cache.get(pair)
    if block is not None:
        return block
    else:
        block = chars[start:end]
        cache[pair] = block
        return block


def count_k(chars, previous_start, previous_end, cache=dict()):
    skip = len(chars)
    previous_len = previous_end - previous_start
    if previous_end + previous_len < len(chars):
        previous = get_cache(chars, previous_start, previous_end)
        suspicious_end = previous_end + previous_len
        suspicious = get_cache(chars, previous_end, previous_end + previous_len)
        if previous == suspicious:
            skip = suspicious_end

    max_k = 1
    for n in range(previous_end + 1, len(chars)):
        if n == skip:
            continue
        pair = (previous_end, n)
        if pair in cache:
            k = cache[pair]
        else:
            k = count_k(chars, previous_end, n) + 1
            cache[pair] = k
        if k == 1:
            continue
        if max_k >= k:
            break
        else:
            max_k = k
    return max_k


s = input()
print(count_k(list(s), 0, 0))


Fixed submission:
s = input()
maximum = [(0, [()])]

s = tuple(s)
for i in range(1, len(s) + 1):
    j = i - 1
    while j >= 0:
        max_count, previous = maximum[j]
        if max_count < 0:
            j -= 1
            continue
        current = s[j:i]
        if any(p != current for p in previous):
            if len(maximum) == i + 1:
                mc, blocks = maximum[i]
                if mc == max_count + 1:
                    blocks.append(current)
                break
            else:
                maximum.append((max_count + 1, [current]))
        j -= 1
    else:
        if len(maximum) != i + 1:
            maximum.append((-1, []))
    assert len(maximum) == i + 1

print(maximum[-1][0])

Buggy python submission (verdict: Runtime Error):
def get_cache(chars, start, end, cache=dict()):
    pair = (start, end)
    block = cache.get(pair)
    if block is not None:
        return block
    else:
        block = chars[start:end]
        cache[pair] = block
        return block


def count_k(chars, previous_start, previous_end):
    skip = len(chars)
    previous_len = previous_end - previous_start
    if previous_end + previous_len < len(chars):
        previous = get_cache(chars, previous_start, previous_end)
        suspicious_end = previous_end + previous_len
        suspicious = get_cache(chars, previous_end, previous_end + previous_len)
        if previous == suspicious:
            skip = suspicious_end

    max_k = 1
    for n in range(previous_end + 1, len(chars)):
        if n == skip:
            continue
        k = count_k(chars, previous_end, n) + 1
        if k == 1:
            continue
        if max_k >= k:
            break
        else:
            max_k = k
    return max_k


s = input()
print(count_k(list(s), 0, 0))

Fixed submission:
s = input()
maximum = [(0, [()])]

s = tuple(s)
for i in range(1, len(s) + 1):
    j = i - 1
    while j >= 0:
        max_count, previous = maximum[j]
        if max_count < 0:
            j -= 1
            continue
        current = s[j:i]
        if any(p != current for p in previous):
            if len(maximum) == i + 1:
                mc, blocks = maximum[i]
                if mc == max_count + 1:
                    blocks.append(current)
                break
            else:
                maximum.append((max_count + 1, [current]))
        j -= 1
    else:
        if len(maximum) != i + 1:
            maximum.append((-1, []))
    assert len(maximum) == i + 1

print(maximum[-1][0])

Buggy python submission (verdict: Time Limit Exceeded):
def count_k(chars, previous):
    if chars == previous:
        return 0
    max_k = 1
    for n in range(1, len(chars)):
        block1 = chars[:n]
        if block1 == previous:
            continue
        block2 = chars[n:]
        k = count_k(block2, block1) + 1
        if k == 1:
            continue
        if max_k >= k:
            break
        else:
            max_k = k
    return max_k


s = input()
print(count_k(tuple(s), tuple()))


Fixed submission:
s = input()
maximum = [(0, [()])]

s = tuple(s)
for i in range(1, len(s) + 1):
    j = i - 1
    while j >= 0:
        max_count, previous = maximum[j]
        if max_count < 0:
            j -= 1
            continue
        current = s[j:i]
        if any(p != current for p in previous):
            if len(maximum) == i + 1:
                mc, blocks = maximum[i]
                if mc == max_count + 1:
                    blocks.append(current)
                break
            else:
                maximum.append((max_count + 1, [current]))
        j -= 1
    else:
        if len(maximum) != i + 1:
            maximum.append((-1, []))
    assert len(maximum) == i + 1

print(maximum[-1][0])