''' mbinary
#########################################################################
# File : heapSort.py
# Author: mbinary
# Mail: zhuheqin1@gmail.com
# Blog: https://mbinary.xyz
# Github: https://github.com/mbinary
# Created Time: 2018-07-05  16:24
# Description:
#########################################################################
'''

from functools import partial


class heap:
    def __init__(self, lst, reverse=False):
        self.data = heapify(lst, reverse)
        self.cmp = partial(lambda i, j, r: cmp(
            self.data[i], self.data[j], r), r=reverse)

    def getTop(self):
        return self.data[0]

    def __getitem__(self, idx):
        return self.data[idx]

    def __bool__(self):
        return self.data != []

    def popTop(self):
        ret = self.data[0]
        n = len(self.data)
        cur = 1
        while cur * 2 <= n:
            chd = cur-1
            r_idx = cur*2
            l_idx = r_idx-1
            if r_idx == n:
                self.data[chd] = self.data[l_idx]
                break
            j = l_idx if self.cmp(l_idx, r_idx) < 0 else r_idx
            self.data[chd] = self.data[j]
            cur = j+1
        self.data[cur-1] = self.data[-1]
        self.data.pop()
        return ret

    def addNode(self, val):
        self.data.append(val)
        self.data = one_heapify(len(self.data)-1)


def cmp(n1, n2, reverse=False):
    fac = -1 if reverse else 1
    if n1 < n2:
        return -fac
    elif n1 > n2:
        return fac
    return 0


def heapify(lst, reverse=False):
    for i in range(len(lst)):
        lst = one_heapify(lst, i, reverse)
    return lst


def one_heapify(lst, cur, reverse=False):
    cur += 1
    while cur > 1:
        chd = cur-1
        prt = cur//2-1
        if cmp(lst[prt], lst[chd], reverse) < 0:
            break
        lst[prt], lst[chd] = lst[chd], lst[prt]
        cur = prt+1
    return lst


def heapSort(lst, reverse=False):
    lst = lst.copy()
    hp = heap(lst, reverse)
    ret = []
    while hp:
        ret.append(hp.popTop())
    return ret


if __name__ == '__main__':
    from random import randint
    n = randint(10, 20)
    lst = [randint(0, 100) for i in range(n)]
    print('random    : ', lst)
    print('small-heap: ', heapify(lst))
    print('big-heap  : ', heapify(lst, True))
    print('ascend    : ', heapSort(lst))
    print('descend   : ', heapSort(lst, True))