是否可以以某种方式自定义 QTabWidget？

Question

Aycon

Asked:2024-04-05 15:49:41 +0000 UTC2024-04-05 15:49:41 +0000 UTC 2024-04-05 15:49:41 +0000 UTC

选择最佳间隔重叠

772

我有几个加权间隔的列表 - 这些是元组(value, start, stop)：

#   0   1   2   3   4   5   6   7   8   9   10
# 1         [___]                           
# 2 [___________________________________]   
# 3 [_______]                               
# 8     [_______________________]           
# 7                     [___________________]
# 6                                 [___]   
# 4     [_______________________]           

# input
# (value: float, start: float, stop: float)
list_in = [(2, 0, 9), (3, 0, 2), (8, 1, 7), (4, 1, 7), (1, 3, 4), (5, 5, 10), (6, 8, 9)]

我想找到所有部分重叠并选择“最佳”重叠，即最大的重叠value。

对于我的示例，正确答案是：

#   0   1   2   3   4   5   6   7   8   9   10
# 1                                         
# 2                                         
# 3 [___]                                   
# 8     [_______________________]           
# 7                             [___________]
# 6                                         
# 4                                         

# output
list_out = [(3, 0, 1), (8, 1, 7), (7, 7, 10)]

我会尽量保持简单，说明我所拥有的所有条件，但以下是您应该了解的最低限度：

输入的元组数组未以任何方式排序
我有一个区间树的实现，如果算法性能更高或更简单，请使用它

~~3）需要考虑-float('inf')区间的开始和float('inf')区间的结束。~~

如果两个间隔的值value相同，则越短越好。如果它们的长度相同，则它是间隔的精确副本 - 忽略精确副本。
忽略具有的间隔start == stop

如果这对您来说更容易，以下是相对间距的所有可能情况：

# Target interval:
#   0   1   2   3   4   5   6   7   8   9
#               [___________]           

# All cases for target:
#   0   1   2   3   4   5   6   7   8   9
#   [_______]                           
#       [_______]                       
#           [_______]                   
#               [_______]               
#                   [___]               
#                       [_______]       
#                           [_______]   
#                               [_______]
#           [___________________]       
#               [___________]

区间和点的所有情况：

value, start, stop = interval
point = x

point < start
point == start
start < point and point < stop
point == stop
stop < point

我正面解决这个问题的任何尝试都会导致组合爆炸并将代码变成回调地狱

请帮忙。PS：我可以粘贴我的尝试，但它需要 200 行代码，并且开始如下：

def calc_factor(integral_value: float, depth_start: float, depth_stop: float):
    return integral_value / (depth_stop - depth_start)

def split_by_intersections(interval_l: IntegralValueInterval, interval_r: IntegralValueInterval):
    assert interval_l.depth_start < interval_l.depth_stop
    assert interval_r.depth_start < interval_r.depth_stop
    assert interval_l.depth_start > -float('inf')
    assert interval_l.depth_stop < float('inf')
    assert interval_r.depth_start > -float('inf')
    assert interval_r.depth_stop < float('inf')
    
    # if-hell I know this, but I don't know how to simplify it.
    if interval_l.depth_start < interval_r.depth_start:
        if interval_l.depth_stop < interval_r.depth_start:
            # L.start L.stop R.start R.stop
            return [interval_l, interval_r]
        
        elif interval_l.depth_stop == interval_r.depth_start:
            # L.start (L.stop R.start) R.stop
            interval_l.depth_stop -= settings.gis_delta_depth
            return [interval_l, interval_r]
        
        elif interval_l.depth_stop > interval_r.depth_start and interval_l.depth_stop < interval_r.depth_stop:
            # L.start R.start L.stop R.stop
            a = interval_l.depth_start
            b = interval_r.depth_start
            c = interval_l.depth_stop
            d = interval_r.depth_stop
            
            interval_l.depth_start = a
            interval_l.depth_stop = b - settings.gis_delta_depth
            
            interval_c = IntegralValueInterval()
            interval_c.depth_start = b
            interval_c.depth_stop = c - settings.gis_delta_depth
            left_factor = calc_factor(interval_l.integral_value, interval_c.depth_start, interval_c.depth_stop)
            right_factor = calc_factor(interval_r.integral_value, interval_c.depth_start, interval_c.depth_stop)
            if left_factor < right_factor:
                interval_c.integral_value = interval_r.integral_value
            else:
                interval_c.integral_value = interval_l.integral_value
                
            interval_r.depth_stop = d
            interval_r.depth_start = c
            
            return [interval_l, interval_c, interval_r]
        
        elif interval_l.depth_stop == interval_r.depth_stop:
            # L.start R.start (L.stop R.stop)
            left_factor = calc_factor(interval_l.integral_value, interval_l.depth_start, interval_l.depth_stop)
            right_factor = calc_factor(interval_r.integral_value, interval_r.depth_start, interval_r.depth_stop)
            if left_factor < right_factor:
                interval_l.depth_stop = interval_r.depth_start - settings.gis_delta_depth
            else:
                interval_r.depth_start = interval_l.depth_stop
                interval_l.depth_stop -= settings.gis_delta_depth
            
            return [interval_l, interval_r]
...

PS 2.0：我尝试为所有情况编写测试，发现不可能考虑到-float('inf')，float('inf')因为存在矛盾的例子，例如，[(2, -float('inf'), 6), (1, -float('inf'), 2)]不清楚哪个段更好。因此，我正在修改这个问题。

PS 3.0：我在代码中附上了“测试”，以便您可以检查您的解决方案。

def test():
    for intervals, expected in (
        # value left > value right
        ([(2, 3, 6), (1, 0, 2)], [(1, 0, 2), (2, 3, 6)]),
        ([(2, 3, 6), (1, 1, 3)], [(1, 1, 3), (2, 3, 6)]),
        ([(2, 3, 6), (1, 2, 4)], [(1, 2, 3), (2, 3, 6)]),
        ([(2, 3, 6), (1, 3, 5)], [(2, 3, 6)]),
        ([(2, 3, 6), (1, 4, 5)], [(2, 3, 6)]),
        ([(2, 3, 6), (1, 3, 6)], [(2, 3, 6)]),
        ([(2, 3, 6), (1, 2, 6)], [(1, 2, 3), (2, 3, 6)]),
        ([(2, 3, 6), (1, 2, 7)], [(1, 2, 3), (2, 3, 6), (1, 6, 7)]),
        ([(2, 3, 6), (1, 3, 7)], [(2, 3, 6), (1, 6, 7)]),
        ([(2, 3, 6), (1, 4, 6)], [(2, 3, 6)]),
        ([(2, 3, 6), (1, 5, 7)], [(2, 3, 6), (1, 6, 7)]),
        ([(2, 3, 6), (1, 6, 8)], [(2, 3, 6), (1, 6, 8)]),
        ([(2, 3, 6), (1, 7, 9)], [(2, 3, 6), (1, 7, 9)]),
        
        # value left == value right
        ([(2, 3, 6), (2, 0, 2)], [(2, 0, 2), (2, 3, 6)]),               # 2 / (6 - 3) < 2 / (2 - 0)
        ([(2, 3, 6), (2, 1, 3)], [(2, 1, 3), (2, 3, 6)]),               # 2 / (6 - 3) < 2 / (3 - 1)
        ([(2, 3, 6), (2, 2, 4)], [(2, 2, 4), (2, 4, 6)]),               # 2 / (6 - 3) < 2 / (4 - 2)
        ([(2, 3, 6), (2, 3, 5)], [(2, 3, 5), (2, 5, 6)]),               # 2 / (6 - 3) < 2 / (5 - 3)
        ([(2, 3, 6), (2, 4, 5)], [(2, 3, 4), (2, 4, 5), (2, 5, 6)]),    # 2 / (6 - 3) < 2 / (5 - 4)
        ([(2, 3, 6), (2, 3, 6)], [(2, 3, 6)]),                          # 2 / (6 - 3) == 2 / (6 - 3) (copy)
        ([(2, 3, 6), (2, 2, 6)], [(2, 2, 3), (2, 3, 6)]),               # 2 / (6 - 3) > 2 / (6 - 2)
        ([(2, 3, 6), (2, 2, 7)], [(2, 2, 3), (2, 3, 6), (2, 6, 7)]),    # 2 / (6 - 3) > 2 / (7 - 2)
        ([(2, 3, 6), (2, 3, 7)], [(2, 3, 6), (2, 6, 7)]),               # 2 / (6 - 3) > 2 / (7 - 3)
        ([(2, 3, 6), (2, 4, 6)], [(2, 3, 4), (2, 4, 6)]),               # 2 / (6 - 3) < 2 / (6 - 4)
        ([(2, 3, 6), (2, 5, 7)], [(2, 3, 5), (2, 5, 7)]),               # 2 / (6 - 3) < 2 / (7 - 5)
        ([(2, 3, 6), (2, 6, 8)], [(2, 3, 6), (2, 6, 8)]),               # 2 / (6 - 3) < 2 / (8 - 6)
        ([(2, 3, 6), (2, 7, 9)], [(2, 3, 6), (2, 7, 9)]),               # 2 / (6 - 3) < 2 / (9 - 7)
        
        # value left < value right
        ([(2, 3, 6), (3, 0, 2)], [(3, 0, 2), (2, 3, 6)]),
        ([(2, 3, 6), (3, 1, 3)], [(3, 1, 3), (2, 3, 6)]),
        ([(2, 3, 6), (3, 2, 4)], [(3, 2, 4), (2, 4, 6)]),
        ([(2, 3, 6), (3, 3, 5)], [(3, 3, 5), (2, 5, 6)]),
        ([(2, 3, 6), (3, 4, 5)], [(2, 3, 4), (3, 4, 5), (2, 5, 6)]),
        ([(2, 3, 6), (3, 3, 6)], [(3, 3, 6)]),
        ([(2, 3, 6), (3, 2, 6)], [(3, 2, 6)]),
        ([(2, 3, 6), (3, 2, 7)], [(3, 2, 7)]),
        ([(2, 3, 6), (3, 3, 7)], [(3, 3, 7)]),
        ([(2, 3, 6), (3, 4, 6)], [(2, 3, 4), (3, 4, 6)]),
        ([(2, 3, 6), (3, 5, 7)], [(2, 3, 5), (3, 5, 7)]),
        ([(2, 3, 6), (3, 6, 8)], [(2, 3, 6), (3, 6, 8)]),
        ([(2, 3, 6), (3, 7, 9)], [(2, 3, 6), (3, 7, 9)]),
    ):
        actual = list(max_values(intervals))
        if actual != expected:
            print(intervals, expected, actual)


test()

2 个回答

Voted

Stanislav Volodarskiy · Answer 1 · 2024-04-05T20:38:29Z

问题通过扫地就解决了。事件是间隔的结束。事件队列是一个已排序的数组；如果各段的开始时间相等，则这些段会排到末尾。状态：覆盖给定点的线段集。集合的结构是支持删除元素的最大值堆。

事件处理：

如果这是段的开头，则将其值添加到集合中
如果这是段的末尾，则将其标记为在集合中已删除

要打印结果，将存储当前最大值的开头（如果有）和当前最大值本身。如果在此事件中最大值发生变化，

打印一个三元组（最大值、开始、当前事件）；
更新起始值和当前最大值。

import heapq


def min_values(intervals):
    # event queue
    events = [] # (x, is_end, index, value, label)
    for index, (start, stop, value, label) in enumerate(intervals):
        events.append((start, False, index, value, label))
        events.append((stop , True , index, value, label))
    events.sort()

    # status
    deleted = [False] * (len(events) // 2)
    heap = []

    # print
    last_start = None
    last_value = None
    last_label = None

    for x, is_end, index, value, label in events:
        # update status
        if is_end:
            deleted[index] = True
        else:
            heapq.heappush(heap, (value, index, label))

        # remove deleted items from heap top
        while heap and deleted[heap[0][1]]:
            heapq.heappop(heap)
        
        # print
        value = heap[0][0] if heap else None
        label = heap[0][2] if heap else None
        if value != last_value:
            if last_value is not None and last_start < x:
                yield last_label, last_start, x 
            last_start = x
            last_value = value
            last_label = label


def max_values(intervals):
    return min_values(
        (start, stop, (-value, stop - start), value)
        for value, start, stop in intervals
    )


def test():
    for intervals, expected in (
        # value left > value right
        ([(2, 3, 6), (1, 3, 6)], [(2, 3, 6)]),
        ([(2, 3, 6), (1, 0, 2)], [(1, 0, 2), (2, 3, 6)]),
        ([(2, 3, 6), (1, 1, 3)], [(1, 1, 3), (2, 3, 6)]),
        ([(2, 3, 6), (1, 2, 4)], [(1, 2, 3), (2, 3, 6)]),
        ([(2, 3, 6), (1, 3, 5)], [(2, 3, 6)]),
        ([(2, 3, 6), (1, 4, 5)], [(2, 3, 6)]),
        ([(2, 3, 6), (1, 5, 7)], [(2, 3, 6), (1, 6, 7)]),
        ([(2, 3, 6), (1, 6, 8)], [(2, 3, 6), (1, 6, 8)]),
        ([(2, 3, 6), (1, 7, 9)], [(2, 3, 6), (1, 7, 9)]),
        ([(2, 3, 6), (1, 2, 7)], [(1, 2, 3), (2, 3, 6), (1, 6, 7)]),
        
        # value left == value right
        ([(2, 3, 6), (2, 3, 6)], [(2, 3, 6)]), # is copy
        ([(2, 3, 6), (2, 0, 2)], [(2, 0, 2), (2, 3, 6)]), # 2. / (6. - 3.) < 2. / (2. - 0.)
        ([(2, 3, 6), (2, 1, 3)], [(2, 1, 3), (2, 3, 6)]), # 2. / (6. - 3.) < 2. / (3. - 1.)
        ([(2, 3, 6), (2, 2, 4)], [(2, 2, 4), (2, 4, 6)]), # 2. / (6. - 3.) < 2. / (4. - 2.)
        ([(2, 3, 6), (2, 3, 5)], [(2, 3, 5), (2, 5, 6)]), # 2. / (6. - 3.) < 2. / (5. - 3.)
        ([(2, 3, 6), (2, 4, 5)], [(2, 3, 4), (2, 4, 5), (2, 5, 6)]), # 2. / (6. - 3.) < 2. / (5. - 4.)
        ([(2, 3, 6), (2, 5, 7)], [(2, 3, 5), (2, 5, 7)]), # 2. / (6. - 3.) < 2. / (7. - 5.)
        ([(2, 3, 6), (2, 6, 8)], [(2, 3, 6), (2, 6, 8)]), # 2. / (6. - 3.) < 2. / (8. - 6.)
        ([(2, 3, 6), (2, 7, 9)], [(2, 3, 6), (2, 7, 9)]), # 2. / (6. - 3.) < 2. / (9. - 7.)
        ([(2, 3, 6), (2, 2, 7)], [(2, 2, 3), (2, 3, 6), (2, 6, 7)]), # 2. / (6. - 3.) > 2. / (7. - 2.)
        
        # value left < value right
        ([(2, 3, 6), (3, 3, 6)], [(3, 3, 6)]),
        ([(2, 3, 6), (3, 0, 2)], [(3, 0, 2), (2, 3, 6)]),
        ([(2, 3, 6), (3, 1, 3)], [(3, 1, 3), (2, 3, 6)]),
        ([(2, 3, 6), (3, 2, 4)], [(3, 2, 4), (2, 4, 6)]),
        ([(2, 3, 6), (3, 3, 5)], [(3, 3, 5), (2, 5, 6)]),
        ([(2, 3, 6), (3, 4, 5)], [(2, 3, 4), (3, 4, 5), (2, 5, 6)]),
        ([(2, 3, 6), (3, 5, 7)], [(2, 3, 5), (3, 5, 7)]),
        ([(2, 3, 6), (3, 6, 8)], [(2, 3, 6), (3, 6, 8)]),
        ([(2, 3, 6), (3, 7, 9)], [(2, 3, 6), (3, 7, 9)]),
        ([(2, 3, 6), (3, 2, 7)], [(3, 2, 7)]),
    ):
        actual = list(max_values(intervals))
        if actual != expected:
            print(intervals, expected, actual)


test()

Akina · Answer 2 · 2024-04-05T17:36:38Z

Akina

2024-04-05T17:36:38Z2024-04-05T17:36:38Z

我用原始数据来展示它。

步骤 1-1。收集积分。之后我们得到一个数组

0,1,2,3,5,7,8,9,10

步骤 1-2。转换为最小间隔。我们得到一套

0-1
1-2
2-3
3-5
5-7
7-8
8-9
9-10

步骤 2. 对于每个区间，选择与其重叠的初始区间，收集权重，选择最大值


0-1	重量 2, 3
1-2	重量 2.3 , 8,4
2-3	重量 1.2 , 8,4
3-5	权重 2, 8 , 4
5-7	权重 2 , 8,7,4
7-8	重量 2, 7
8-9	权重 2, 7 , 6
9-10	重量7

步骤 3. 如果相邻区间的权重相等，我们将它们合并。我们得到


0-1	重量 2, 3	总计 0-1 重量 3
1-2	重量 2.3 , 8,4
2-3	重量 1.2 , 8,4
3-5	权重 2, 8 , 4
5-7	权重 2 , 8,7,4	总计 1-7 重量 8
7-8	重量 2, 7
8-9	权重 2, 7 , 6
9-10	重量7	总计 7-10 重量 7

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