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


def allocate(count, weights):
    """allocate all packages of weights onto trucks.
    returns maximum load of trucks.

    >>> allocate(2, [1, 2, 2, 6])
    6
    >>> allocate(3, [8, 1, 7, 3, 9])
    10
    """
    def sumw(i, j):
        if (i, j) not in sums:
            sums[(i, j)] = sum(weights[i:j])
        elif (i, j-1) in sums:
            sums[(i, j)] = sums[(i, j-1)] + weights[j-1]

        return sums[(i, j)]

    sums = {}
    k = len(weights)
    if count >= k:
        return max(weights)
    elif count == 1:
        return sum(weights)

    maxloads = [sumw(0, i+1) for i in range(k-count+1)]
    for i in range(1, count):
        for j in reversed(range(k - count + 1)):
            ms = []
            for x in range(j+1):
                p1 = i+x
                p2 = i+j+1
                if i == count-1:
                    p2 = k
                ms.append(max(sumw(p1, p2), maxloads[x]))
            maxloads[j] = min(ms)

    return min(maxloads)

def run():
    k, n = [int(i) for i in input().split()]
    ws = []
    for i in sys.stdin:
        ws.append(int(i))

    print(allocate(n, ws))


if __name__ == '__main__':
    run()



Fixed submission:
import sys


def allocate(count, weights):
    """allocate all packages of weights onto trucks.
    returns maximum load of trucks.

    >>> allocate(2, [1, 2, 2, 6])
    6
    >>> allocate(3, [8, 1, 7, 3, 9])
    10
    """
    def loadable_counts(maxweight):
        n = 0
        l = 0
        c = count
        for w in weights:
            l += w
            if l > maxweight:
                l = w
                c -= 1

            if c <= 0:
                return n

            n += 1
        return n

    i = max(weights)
    j = max(weights) * len(weights) // count

    while i < j:
        mid = (i + j) // 2
        if loadable_counts(mid) < len(weights):
            i = mid + 1
        else:
            j = mid

    return i


def run():
    k, n = [int(i) for i in input().split()]
    ws = []
    for i in sys.stdin:
        ws.append(int(i))

    print(allocate(n, ws))


if __name__ == '__main__':
    run()

Buggy python submission (verdict: Runtime Error):
def allocate(count, weights):
    def loadable_counts(maxweight):
        n = 0 
        l = 0 
        c = count
        for w in weights:
            l += w
            if l > maxweight:
                l = w 
                c -= 1

            if c <= 0:
                return n

            n += 1
        return n

    i = 0 
    j = max(weights) * len(weights) // count

    while i < j:
        mid = (i + j) // 2
        if loadable_counts(mid) < len(weights):
            i = mid + 1 
        else:
            j = mid 

    return i



def run():
    k, n = [int(i) for i in input().split()]
    ws = []
    for i in sys.stdin:
        ws.append(int(i))

    print(allocate(n, ws))


if __name__ == '__main__':
    run()



Fixed submission:
import sys


def allocate(count, weights):
    """allocate all packages of weights onto trucks.
    returns maximum load of trucks.

    >>> allocate(2, [1, 2, 2, 6])
    6
    >>> allocate(3, [8, 1, 7, 3, 9])
    10
    """
    def loadable_counts(maxweight):
        n = 0
        l = 0
        c = count
        for w in weights:
            l += w
            if l > maxweight:
                l = w
                c -= 1

            if c <= 0:
                return n

            n += 1
        return n

    i = max(weights)
    j = max(weights) * len(weights) // count

    while i < j:
        mid = (i + j) // 2
        if loadable_counts(mid) < len(weights):
            i = mid + 1
        else:
            j = mid

    return i


def run():
    k, n = [int(i) for i in input().split()]
    ws = []
    for i in sys.stdin:
        ws.append(int(i))

    print(allocate(n, ws))


if __name__ == '__main__':
    run()