summaryrefslogtreecommitdiff
path: root/AlgoDesignAndTechniqueEdxPython/sources/covering_segment.py
blob: b083e31f838f34a785a9056aaf56f2e7eab7f0f1 (plain)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
# Uses python3
import sys
from collections import namedtuple

Segment = namedtuple('Segment', 'start end')


# def getSortedListOfSegs(segList):
#     segList.sort()
#     return segList
# 
# 
# def getOptimalPoints(segList):
#     if len(segList) == 1:
#         return [segList[0].start]
#     if segList[0].end <= segList[1].start:
#         result = [segList[0].end]
#         if segList[1].start == segList[1].end:
#             if len(segList) == 2:
#                 return result
#             else:
#                 result.extend(getOptimalPoints(segList[2:]))
#                 return result
#     else:
#         if segList[0].end >= segList[1].end:
#             result = [segList[1].end]
#             del(segList[1])
#             result.extend(getOptimalPoints(segList[1:]))
#             return result
#         else:
#             result = [segList[0].end]
#             result.extend(getOptimalPoints(segList[1:]))
#             return result
# 
# 
# def getOptimalPoints1(segList):
#     if len(segList) == 1:
#         return [segList[0].start]
#     if segList[0] == segList[1]:
#         return getOptimalPoints1(segList[1:])
#     if segList[0].start == segList[0].end:
#         result = [segList[0].end]
#         result.extend(getOptimalPoints1(segList[1:]))
#         return result
#     if segList[0].start == segList[1].start:
#         result = [segList[0].end]
#         result.extend(getOptimalPoints1(segList[1:]))
#         return result
#     if segList[0].end < segList[1].start:
#         result = [segList[0].end]
#         result.extend(getOptimalPoints1(segList[1:]))
#         return result
#     else:
#         if segList[0].end == segList[1].start:
#             result = [segList[0].end]
#             result.extend(getOptimalPoints1(segList[1:]))
#             return result
#         else:  # segList[0].end > segList[1].start
#             if segList[0].end < segList[1].end:
#                 result = [segList[0].end]
#                 result.extend(getOptimalPoints1(segList[1:]))
#                 return result
#             if segList[0].end == segList[1].end:
#                 result = [segList[1].end]
#                 result.extend(getOptimalPoints1(segList[1:]))
#                 return result
#             else: 
#                 result = [segList[1].end]
#                 del(segList[1])
#                 result.extend(getOptimalPoints1(segList))
#                 return result


def getOptimalPoints2(segList):
    index = 0
    points = []
    while index < len(segList):
        points.append(segList[index].end)
        index = index + 1
        while index < len(segList) and segList[index].start <= points[-1]:
            if segList[index].end < points[-1]:
                points[-1] = segList[index].end
            index = index + 1
    return points
        
if __name__ == '__main__':
    input = sys.stdin.read()
    n, *data = map(int, input.split())
    segments = set(map(lambda x: Segment(x[0], x[1]), zip(data[::2], data[1::2])))
    segments = list(segments)
    segments.sort()
    points = getOptimalPoints2(segments)
    print(len(points))
    for p in points:
        print(p, end=' ')