def interval_covering(target, intervals):
"""
使用贪心算法解决区间覆盖问题。
:param target: 需要覆盖的目标区间,形如 [a, b]
:param intervals: 可用于覆盖的区间列表,形如 [[x1, y1], [x2, y2], ...]
:return: 所需最少区间列表,如果无法完全覆盖则返回 None
"""
intervals.sort(key=lambda x: (x[0], -x[1]))
result = []
current_end, idx = target[0], 0
while current_end < target[1]:
best_choice = None
while idx < len(intervals) and intervals[idx][0] <= current_end:
if best_choice is None or intervals[idx][1] > intervals[best_choice][1]:
best_choice = idx
idx += 1
if best_choice is None:
return None
result.append(intervals[best_choice])
current_end = intervals[best_choice][1]
return result
target = [0, 6]
intervals = [[1, 2], [2, 4], [3, 5], [0, 3], [5, 6]]
interval_covering(target, intervals)