#619313 (PyPy3) No.674 n連勤

提出ソース

結果

問題	No.674 n連勤
ユーザー	None
提出日時	2021-02-18 15:38:43
言語	PyPy3 (7.3.15)
結果	AC
実行時間	453 ms / 2,000 ms
コード長	10,666 bytes
コンパイル時間	516 ms
コンパイル使用メモリ	86,888 KB
実行使用メモリ	106,268 KB
最終ジャッジ日時	2023-10-12 23:46:42
合計ジャッジ時間	5,510 ms
ジャッジサーバーID （参考情報）	judge15 / judge14

このコードへのチャレンジ
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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	75 ms 71,132 KB
testcase_01	AC	75 ms 71,132 KB
testcase_02	AC	77 ms 71,232 KB
testcase_03	AC	75 ms 70,992 KB
testcase_04	AC	73 ms 71,076 KB
testcase_05	AC	73 ms 71,328 KB
testcase_06	AC	74 ms 71,208 KB
testcase_07	AC	73 ms 71,232 KB
testcase_08	AC	72 ms 70,992 KB
testcase_09	AC	74 ms 71,240 KB
testcase_10	AC	73 ms 71,148 KB
testcase_11	AC	138 ms 78,040 KB
testcase_12	AC	178 ms 80,280 KB
testcase_13	AC	165 ms 82,276 KB
testcase_14	AC	191 ms 105,648 KB
testcase_15	AC	233 ms 100,384 KB
testcase_16	AC	406 ms 106,212 KB
testcase_17	AC	409 ms 106,268 KB
testcase_18	AC	453 ms 99,788 KB
testcase_19	AC	212 ms 105,880 KB

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ソースコード

raw source code

class Bit:

    def __init__(self, n):
        """
        :param n: number of elements
        """
        self.n = n
        self.tree = [0]*(n+1)
        self.depth = n.bit_length() - 1

    def sum(self, i):
        """ return summation of elements in [0,i) """
        s = 0
        i -= 1
        while i >= 0:
            s += self.tree[i]
            i = (i & (i + 1) )- 1
        return s

    def build(self, array):
        """ bulid BIT from array """
        for i, a in enumerate(array):
            self.add(i, a)

    def add(self, i, x):
        """ add x to i-th element """
        while i < self.n:
            self.tree[i] += x
            i |= i + 1

    def get(self, i, j):
        """ return summation of elements in [i,j) """
        if i == 0:
            return self.sum(j)
        return self.sum(j) - self.sum(i)

    def lower_bound(self, x, equal=False):
        """
        return tuple = (return maximum i s.t. a0+a1+...+ai < x (if not existing, -1 ) , a0+a1+...+ai )
        if one wants to include equal (i.e., a0+a1+...+ai <= x), please set equal = True
        (Cation) We must assume that A_i>=0
        """
        sum_ = 0
        pos = -1    # 1-indexed の時は pos = 0
        if not equal:
            for i in range(self.depth, -1, -1):
                k = pos + (1 << i)
                if k < self.n and sum_ + self.tree[k] < x:  # 1-indexed の時は k <= self.n
                    sum_ += self.tree[k]
                    pos += 1 << i
        if equal:
            for i in range(self.depth, -1, -1):
                k = pos + (1 << i)
                if k < self.n and sum_ + self.tree[k] <= x: # 1-indexed の時は k <= self.n
                    sum_ += self.tree[k]
                    pos += 1 << i
        return pos, sum_

    def __getitem__(self, i):
        """ [a0, a1, a2, ...] """
        if i<0: i=self.n+i
        return self.get(i, i+1)

    def __iter__(self):
        """ [a0, a1, a2, ...] """
        for i in range(self.n):
            yield self.get(i, i+1)

    def __str__(self):
        text1 = " ".join(["element:            "] + list(map(str, self)))
        text2 = " ".join(["cumsum(1-indexed):  "] + list(str(self.sum(i)) for i in range(1, self.n + 1)))
        return "\n".join((text1, text2))

class SortedList2:
    """ if we need compress """
    def __init__(self, data, A=[]):
        """
        self.size: number of elements in BitSet
        """
        self.data = sorted(list(set(data)))
        self.n = len(self.data)
        self.p = Bit(self.n + 1)
        self.size = 0
        self.flip = 0
        self.code = {}
        self.decode = []
        for i, b in enumerate(self.data):
            self.code[b] = i
            self.decode.append(b)
        for a in A:
            self.add(a)

    def add(self,x):
        self.p.add(self.code[x], 1)
        self.size += 1
        self.flip += self.size - self.p.sum(self.code[x]+1)        # we can remove this if we do not use flip_number

    def remove(self,x):
        self.p.add(self.code[x], -1)
        self.size -= 1

    def bisect_left(self,x):
        """ return bisect_left(sorted(B),x) """
        if x in self.code.keys():
            return self.p.sum(self.code[x])
        else:
            return self.p.sum(bisect_right(self.data, x))

    def bisect_right(self,x):
        """ return bisect_right(sorted(B),x) """
        x += 1
        if x in self.code.keys():
            return self.p.sum(self.code[x])
        else:
            return self.p.sum(bisect_right(self.data, x))

    def count(self,x):
        return self.p[self.code[x]]

    def count_range(self,l,r):
        """ return number of elements in closed set [l,r]"""
        return self.bisect_right(r)-self.bisect_left(l)

    def minimum(self,k=1):
        """ return k-th minimum value """
        if k <= self.size:
            return self.decode[self.p.lower_bound(k)[0] + 1]
        else:
            sys.stderr.write("minimum: list index out of range (k={0})\n".format(k))

    def min(self):
        return self.minimum(1)

    def max(self):
        return self.decode[self.p.lower_bound(self.size)[0] + 1]

    def upper_bound(self,x,equal=False):
        """ return maximum element lower than x """
        if x in self.code.keys():
            y = self.code[x] + equal
        else:
            y = bisect_right(self.data, x)
        k = self.p.sum(y)
        if k:
            return self.minimum(k)

    def lower_bound(self,x,equal=False):
        """ return minimum element greater than x """
        if x in self.code.keys():
            y = self.code[x] + 1 - equal
        else:
            y = bisect_left(self.data, x)
        k = self.p.sum(y) + 1
        if k <= self.size:
            return self.minimum(k)

    def nearest(self,x,k):
        """ return k-th nearest value to x """
        if k>len(self):
            sys.stderr.write("nearest: k (= {0}) is larger than the size of this BitSet\n".format(k))
            return

        def test(d):
            r=self.bisect_right(x+d)-1
            l=self.bisect_left(x-d)
            return r-l+1<=k

        ok,ng=0,10**18+1
        while abs(ok-ng)>1:
            mid=(ok+ng)//2
            if test(mid):
                ok=mid
            else:
                ng=mid
        d=ok

        r=self.bisect_right(x+d)-1
        l=self.bisect_left(x-d)
        if d==0:
            R=self.lower_bound(x,equal=True)
            L=self.upper_bound(x,equal=True)
            if abs(x-L)==abs(R-x):
                if self.count(L)>=k: return L
                else: return R
            elif abs(x-L)<abs(R-x): return L
            else: return R
        elif r-l+1==k:
            R=self[r]
            L=self[l]
            if abs(x-L)<=abs(R-x): return R
            else: return L
        else:
            if l<=0: return self[r+1]
            elif r>=len(self)-1: return self[l-1]
            else:
                R=self[r+1]
                L=self[l-1]
                if abs(x-L)==abs(R-x):
                    if self.count(L)>=k-(r-l+1):
                        return L
                    else: return R
                elif abs(x-L)<abs(R-x): return L
                else: return R

    def __getitem__(self, k):
        """
        return k-th minimum element (0-indexed)
        B[k] = sorted(A)[k]
        """
        if len(self)==0:
            sys.stderr.write("__getitem__: no elements exist in this BitSet\n")
        elif k >= len(self):
            sys.stderr.write("__getitem__: index (={0}) is larger than the maximum index (={1})\n".format(k,len(self)-1))
        elif k >= 0:
            return self.minimum(k+1)
        else:
            sys.stderr.write("__getitem__: index (={0}) is negative \n".format(k))

    def __len__(self):
        return self.size

    def __iter__(self):
        """ return sorted list """
        for i in range(self.n+1):
            if self.p[i]:
                for _ in range(self.p[i]):
                    yield self.decode[i]

    def __str__(self):
        """ return sorted list """
        text1 = " ".join(list(map(str, self)))
        return "[" + text1 + "]"

class SortedInterval():
    def __init__(self,data):
        self.SL = SortedList2(data)
        self.rs = {}
        self.length = 0

    def add(self, l, r):
        """ [l,r) = [l,rs[l]) """
        prev_l = self.SL.upper_bound(l)
        if prev_l is not None and l <= self.rs[prev_l]:
            l = prev_l
            r = max2(r, self.rs[l])
            del self.rs[l]
            self.SL.remove(l)
        next_l_key=self.SL.bisect_left(l)
        removed=[]
        for i in range(next_l_key,len(self.SL)):
            next_l = self.SL[i]
            if next_l>r:
                break
            removed.append(next_l)
        if removed:
            r=max2(r,self.rs[removed[-1]])
        for next_l in removed:
            del self.rs[next_l]
            self.SL.remove(next_l)

        self.SL.add(l)
        self.rs[l] = r
        return r - l

    def remove(self, l, r):
        """ [l,r) = [l,rs[l]) """
        prev_l = self.SL.upper_bound(l)
        if prev_l is not None and l <= self.rs[prev_l]:
            self.rs[prev_l] = l
        next_l_key=self.SL.bisect_left(l)
        removed=[]
        for i in range(next_l_key,len(self.SL)):
            next_l = self.SL[i]
            if self.rs[next_l]>r:
                break
            removed.append(next_l)
        for next_l in removed:
            del self.rs[next_l]
            self.SL.remove(next_l)
        if r in self:
            l0,r0=self.edge(r)
            self.SL.remove(l0)
            self.SL.add(r)
            self.rs[r] = r0

    def sum(self):
        """   return size of all intervals"""
        res=0
        for l in self.SL:
            res+=self.rs[l]-l+1
        return res

    def edge(self, x):
        l = self.SL.upper_bound(x,equal=True)
        if l is None:
            return None
        r = self.rs[l]
        if l<=x<r:
            return l,r
        else:
            return None

    def upper_bound(self,x,equal=False):
        if not equal:
            x-=1
        if x in self:
            return x
        l=self.SL.upper_bound(x,equal=True)
        if l is not None:
            return self.rs[l]-1

    def lower_bound(self,x,equal=False):
        x=x+1-equal
        if x in self:
            return x
        k=self.SL.bisect_left(x)
        if k<len(self.SL):
            l=self.SL[k]
            return l

    def __contains__(self, i):
        l = self.SL.upper_bound(i,equal=True)
        if l is None:
            return False
        r = self.rs[l]
        return l<=i<r

    def __iter__(self):
        for l in self.SL:
            yield l, self.rs[l]

    def __str__(self):
        res=[]
        for l,r in self:
            res.append("[{},{})".format(l,r))
        return "half-open sets: "+", ".join(res)

def max2(x,y):
    return x if x > y else y


#########################################################
def example():
    global input
    example = iter(
        """
30 12
10 10
15 15
10 11
14 15
14 16
9 11
12 14
13 17
19 29
13 18
11 29
0 13
        """
            .strip().split("\n"))
    input = lambda: next(example)
#########################################################
import sys
input = sys.stdin.readline
from bisect import bisect_left, bisect_right

# example()

N, Q = map(int, input().split())
intervals = []
decode=[] # 座圧用
for _ in range(Q):
    l,r=map(int, input().split())
    intervals.append((l,r))
    decode.append(l)
    decode.append(r+1)

SI = SortedInterval(decode)
ans = 0
for l, r in intervals:
    ans = max(SI.add(l, r + 1), ans)
    print(ans)

yukicoder

結果

テストケース

ソースコード