結果
問題 | No.2292 Interval Union Find |
ユーザー | timi |
提出日時 | 2024-02-28 15:36:41 |
言語 | PyPy3 (7.3.15) |
結果 |
AC
|
実行時間 | 2,323 ms / 5,000 ms |
コード長 | 5,750 bytes |
コンパイル時間 | 304 ms |
コンパイル使用メモリ | 82,560 KB |
実行使用メモリ | 118,056 KB |
最終ジャッジ日時 | 2024-09-29 12:24:50 |
合計ジャッジ時間 | 78,090 ms |
ジャッジサーバーID (参考情報) |
judge5 / judge2 |
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テストケース
テストケース表示入力 | 結果 | 実行時間 実行使用メモリ |
---|---|---|
testcase_00 | AC | 66 ms
68,224 KB |
testcase_01 | AC | 67 ms
68,224 KB |
testcase_02 | AC | 67 ms
68,096 KB |
testcase_03 | AC | 67 ms
68,096 KB |
testcase_04 | AC | 1,428 ms
93,704 KB |
testcase_05 | AC | 2,266 ms
107,308 KB |
testcase_06 | AC | 1,719 ms
98,000 KB |
testcase_07 | AC | 2,323 ms
111,360 KB |
testcase_08 | AC | 1,586 ms
93,900 KB |
testcase_09 | AC | 1,684 ms
95,452 KB |
testcase_10 | AC | 1,559 ms
91,276 KB |
testcase_11 | AC | 1,413 ms
93,876 KB |
testcase_12 | AC | 1,874 ms
102,176 KB |
testcase_13 | AC | 1,301 ms
89,108 KB |
testcase_14 | AC | 1,545 ms
94,600 KB |
testcase_15 | AC | 1,692 ms
96,172 KB |
testcase_16 | AC | 1,266 ms
89,228 KB |
testcase_17 | AC | 1,201 ms
87,236 KB |
testcase_18 | AC | 927 ms
117,932 KB |
testcase_19 | AC | 1,027 ms
102,456 KB |
testcase_20 | AC | 1,255 ms
118,056 KB |
testcase_21 | AC | 1,751 ms
113,524 KB |
testcase_22 | AC | 1,463 ms
104,644 KB |
testcase_23 | AC | 1,720 ms
109,924 KB |
testcase_24 | AC | 1,796 ms
111,112 KB |
testcase_25 | AC | 1,749 ms
112,312 KB |
testcase_26 | AC | 1,744 ms
110,356 KB |
testcase_27 | AC | 1,775 ms
108,040 KB |
testcase_28 | AC | 1,821 ms
109,444 KB |
testcase_29 | AC | 1,823 ms
113,700 KB |
testcase_30 | AC | 1,784 ms
109,300 KB |
testcase_31 | AC | 1,725 ms
112,356 KB |
testcase_32 | AC | 1,733 ms
108,296 KB |
testcase_33 | AC | 1,720 ms
106,700 KB |
testcase_34 | AC | 1,771 ms
110,916 KB |
testcase_35 | AC | 1,744 ms
109,232 KB |
testcase_36 | AC | 1,782 ms
112,264 KB |
testcase_37 | AC | 1,458 ms
101,568 KB |
testcase_38 | AC | 1,549 ms
105,216 KB |
testcase_39 | AC | 1,743 ms
110,892 KB |
testcase_40 | AC | 1,686 ms
113,008 KB |
testcase_41 | AC | 693 ms
83,916 KB |
testcase_42 | AC | 1,433 ms
95,632 KB |
testcase_43 | AC | 1,958 ms
98,240 KB |
testcase_44 | AC | 1,898 ms
99,924 KB |
testcase_45 | AC | 1,498 ms
93,896 KB |
testcase_46 | AC | 1,982 ms
99,812 KB |
testcase_47 | AC | 1,804 ms
98,720 KB |
ソースコード
N,Q=map(int, input().split()) import math from bisect import bisect_left, bisect_right, insort from typing import Generic, Iterable, Iterator, TypeVar, Union, List T = TypeVar('T') class SortedMultiset(Generic[T]): BUCKET_RATIO = 50 REBUILD_RATIO = 170 def _build(self, a=None) -> None: "Evenly divide `a` into buckets." if a is None: a = list(self) size = self.size = len(a) bucket_size = int(math.ceil(math.sqrt(size / self.BUCKET_RATIO))) self.a = [a[size * i // bucket_size : size * (i + 1) // bucket_size] for i in range(bucket_size)] def __init__(self, a: Iterable[T] = []) -> None: "Make a new SortedMultiset from iterable. / O(N) if sorted / O(N log N)" a = list(a) if not all(a[i] <= a[i + 1] for i in range(len(a) - 1)): a = sorted(a) self._build(a) def __iter__(self) -> Iterator[T]: for i in self.a: for j in i: yield j def __reversed__(self) -> Iterator[T]: for i in reversed(self.a): for j in reversed(i): yield j def __len__(self) -> int: return self.size def __repr__(self) -> str: return "SortedMultiset" + str(self.a) def __str__(self) -> str: s = str(list(self)) return "{" + s[1 : len(s) - 1] + "}" def _find_bucket(self, x: T) -> List[T]: "Find the bucket which should contain x. self must not be empty." for a in self.a: if x <= a[-1]: return a return a def __contains__(self, x: T) -> bool: if self.size == 0: return False a = self._find_bucket(x) i = bisect_left(a, x) return i != len(a) and a[i] == x def count(self, x: T) -> int: "Count the number of x." return self.index_right(x) - self.index(x) def add(self, x: T) -> None: "Add an element. / O(√N)" if self.size == 0: self.a = [[x]] self.size = 1 return a = self._find_bucket(x) insort(a, x) self.size += 1 if len(a) > len(self.a) * self.REBUILD_RATIO: self._build() def discard(self, x: T) -> bool: "Remove an element and return True if removed. / O(√N)" if self.size == 0: return False a = self._find_bucket(x) i = bisect_left(a, x) if i == len(a) or a[i] != x: return False a.pop(i) self.size -= 1 if len(a) == 0: self._build() return True def lt(self, x: T) -> Union[T, None]: "Find the largest element < x, or None if it doesn't exist." for a in reversed(self.a): if a[0] < x: return a[bisect_left(a, x) - 1] def le(self, x: T) -> Union[T, None]: "Find the largest element <= x, or None if it doesn't exist." for a in reversed(self.a): if a[0] <= x: return a[bisect_right(a, x) - 1] def gt(self, x: T) -> Union[T, None]: "Find the smallest element > x, or None if it doesn't exist." for a in self.a: if a[-1] > x: return a[bisect_right(a, x)] def ge(self, x: T) -> Union[T, None]: "Find the smallest element >= x, or None if it doesn't exist." for a in self.a: if a[-1] >= x: return a[bisect_left(a, x)] def __getitem__(self, x: int) -> T: "Return the x-th element, or IndexError if it doesn't exist." if x < 0: x += self.size if x < 0: raise IndexError for a in self.a: if x < len(a): return a[x] x -= len(a) raise IndexError def index(self, x: T) -> int: "Count the number of elements < x." ans = 0 for a in self.a: if a[-1] >= x: return ans + bisect_left(a, x) ans += len(a) return ans def index_right(self, x: T) -> int: "Count the number of elements <= x." ans = 0 for a in self.a: if a[-1] > x: return ans + bisect_right(a, x) ans += len(a) return ans st = SortedMultiset() st.add((-100,-100)) st.add((10**10,10**10)) for i in range(Q): t,*A=list(map(int, input().split())) if t==1: p,q=A st.add((p,q)) d=st.index((p,q)) while st[d][1]>=st[d+1][1]: l,r=st[d+1] st.discard((l,r)) if st[d][1]>=st[d+1][0]: ll,rr=min(st[d][0],st[d+1][0]),max(st[d][1],st[d+1][1]) l,r=st[d] st.discard((l,r)) l,r=st[d] st.discard((l,r)) st.add((ll,rr)) while st[d-1][0]>=st[d][0]: l,r=st[d-1] st.discard((l,r)) d-=1 if st[d-1][1]>=st[d][0]: ll,rr=min(st[d-1][0],st[d][0]),max(st[d-1][1],st[d][1]) l,r=st[d] st.discard((l,r)) d-=1 l,r=st[d] st.discard((l,r)) st.add((ll,rr)) elif t==2: p,q=A d=st.index((p,q)) l,r=st[d-1] if l<=p and q<=r: st.discard((l,r)) st.add((l,p)) st.add((q,r)) else: while q>=st[d][1]: l,r=st[d] st.discard((l,r)) if st[d][0]<=q: l,r=st[d] st.discard((l,r)) st.add((q,r)) while p<=st[d-1][0]: l,r=st[d-1] st.discard((l,r)) d-=1 if p<=st[d-1][1]: l,r=st[d-1] st.discard((l,r)) st.add((l,p)) elif t==3: p,q=A if p==q: print(1) else: d=st.index((p,10**10)) l,r=st[d-1] if p>q: p,q=q,p #print(l,r,'!') if l<=p and q<=r: print(1) else: print(0) else: p=A[0] d=st.index((p,10**10)) l,r=st[d-1] if l<=p<=r: print(r-l+1) else: print(1) # if t<=2: # print(st)