結果

問題 No.3507 RangeSum RangeUpdate RangeSqrt
コンテスト
ユーザー Kurao
提出日時 2026-04-19 10:41:06
言語 PyPy3
(7.3.17)
コンパイル:
pypy3 -mpy_compile _filename_
実行:
pypy3 _filename_
結果
TLE  
実行時間 -
コード長 11,481 bytes
記録
記録タグの例:
初AC ショートコード 純ショートコード 純主流ショートコード 最速実行時間
コンパイル時間 525 ms
コンパイル使用メモリ 85,376 KB
実行使用メモリ 225,756 KB
最終ジャッジ日時 2026-04-19 10:56:09
合計ジャッジ時間 8,661 ms
ジャッジサーバーID
(参考情報)
judge2_0 / judge1_0
このコードへのチャレンジ
(要ログイン)
ファイルパターン 結果
sample -- * 1
other TLE * 1 -- * 28
権限があれば一括ダウンロードができます

ソースコード

diff #
raw source code

#--------------------------------------------------
import sys
import functools
#sys.setrecursionlimit(10**9)
#codon↓--------------------------------------------
_factorial=[1]
def factorial(n):
    while len(_factorial)<=n:
        _factorial.append((_factorial[-1]*len(_factorial))%mod)
    return _factorial[n]

def binom(n,r):
    if r>=mod:
        raise ValueError("r is too big")
    if n<0:
        return 0
    if r>n:
        return 0
    if r<0:
        return 0
    ans=((factorial(n)*pow(factorial(r),mod-2,mod))%mod*pow(factorial(n-r),mod-2,mod))%mod
    return ans

import string
import itertools
alp_low=list(string.ascii_lowercase)
alp_up=list(string.ascii_uppercase)
dij=[[0,1],[1,0],[0,-1],[-1,0]]

mod=998244353
INF=10**18
def dijkstra(edges, num_node,start):
    """

    [node_num,weight>0][
    
    (example)

    Edges = [
        [[1, 4], [2, 3]],
        [[0, 1], [3, 1]],
        [[3, 2]],
        [],
    ]
    """
    import heapq;n=[INF]*num_node;n[start]=0;n_name=[];heapq.heappush(n_name,[0,start])
    while len(n_name):
        _,min_p=heapq.heappop(n_name)
        for f in edges[min_p]:
            g,c=f
            if n[min_p]+c<n[g]:n[g]=n[min_p]+c;heapq.heappush(n_name,[n[min_p]+c,g])
    return n

def nin():
    return list(map(int,input().split()))
def deq(x):
    return [i-1 for i in x]
def pop_cnt(n):
    ans=0
    while n:
        if n%2:
            ans+=1
        n//=2
    return ans
#↓ Atcoder lib
def _ceil_pow2(n: int) -> int:
    x = 0
    while (1 << x) < n:
        x += 1

    return x


def _bsf(n: int) -> int:
    x = 0
    while n % 2 == 0:
        x += 1
        n //= 2

    return x

import typing

class LazySegTree:
    def __init__(
            self,
            op: typing.Callable[[typing.Any, typing.Any], typing.Any],
            e: typing.Any,
            mapping: typing.Callable[[typing.Any, typing.Any], typing.Any],
            composition: typing.Callable[[typing.Any, typing.Any], typing.Any],
            id_: typing.Any,
            v: typing.Union[int, typing.List[typing.Any]]) -> None:
        self._op = op
        self._e = e
        self._mapping = mapping
        self._composition = composition
        self._id = id_

        if isinstance(v, int):
            v = [e] * v

        self._n = len(v)
        self._log = _ceil_pow2(self._n)
        self._size = 1 << self._log
        self._d = [e] * (2 * self._size)
        self._lz = [self._id] * self._size
        for i in range(self._n):
            self._d[self._size + i] = v[i]
        for i in range(self._size - 1, 0, -1):
            self._update(i)

    def set(self, p: int, x: typing.Any) -> None:
        assert 0 <= p < self._n

        p += self._size
        for i in range(self._log, 0, -1):
            self._push(p >> i)
        self._d[p] = x
        for i in range(1, self._log + 1):
            self._update(p >> i)

    def get(self, p: int) -> typing.Any:
        assert 0 <= p < self._n

        p += self._size
        for i in range(self._log, 0, -1):
            self._push(p >> i)
        return self._d[p]

    def prod(self, left: int, right: int) -> typing.Any:
        assert 0 <= left <= right <= self._n

        if left == right:
            return self._e

        left += self._size
        right += self._size

        for i in range(self._log, 0, -1):
            if ((left >> i) << i) != left:
                self._push(left >> i)
            if ((right >> i) << i) != right:
                self._push((right - 1) >> i)

        sml = self._e
        smr = self._e
        while left < right:
            if left & 1:
                sml = self._op(sml, self._d[left])
                left += 1
            if right & 1:
                right -= 1
                smr = self._op(self._d[right], smr)
            left >>= 1
            right >>= 1

        return self._op(sml, smr)

    def all_prod(self) -> typing.Any:
        return self._d[1]

    def apply(self, left: int, right: typing.Optional[int] = None,
              f: typing.Optional[typing.Any] = None) -> None:
        assert f is not None

        if right is None:
            p = left
            assert 0 <= left < self._n

            p += self._size
            for i in range(self._log, 0, -1):
                self._push(p >> i)
            self._d[p] = self._mapping(f, self._d[p])
            for i in range(1, self._log + 1):
                self._update(p >> i)
        else:
            assert 0 <= left <= right <= self._n
            if left == right:
                return

            left += self._size
            right += self._size

            for i in range(self._log, 0, -1):
                if ((left >> i) << i) != left:
                    self._push(left >> i)
                if ((right >> i) << i) != right:
                    self._push((right - 1) >> i)

            l2 = left
            r2 = right
            while left < right:
                if left & 1:
                    self._all_apply(left, f)
                    left += 1
                if right & 1:
                    right -= 1
                    self._all_apply(right, f)
                left >>= 1
                right >>= 1
            left = l2
            right = r2

            for i in range(1, self._log + 1):
                if ((left >> i) << i) != left:
                    self._update(left >> i)
                if ((right >> i) << i) != right:
                    self._update((right - 1) >> i)

    def max_right(
            self, left: int, g: typing.Callable[[typing.Any], bool]) -> int:
        assert 0 <= left <= self._n
        assert g(self._e)

        if left == self._n:
            return self._n

        left += self._size
        for i in range(self._log, 0, -1):
            self._push(left >> i)

        sm = self._e
        first = True
        while first or (left & -left) != left:
            first = False
            while left % 2 == 0:
                left >>= 1
            if not g(self._op(sm, self._d[left])):
                while left < self._size:
                    self._push(left)
                    left *= 2
                    if g(self._op(sm, self._d[left])):
                        sm = self._op(sm, self._d[left])
                        left += 1
                return left - self._size
            sm = self._op(sm, self._d[left])
            left += 1

        return self._n

    def min_left(self, right: int, g: typing.Any) -> int:
        assert 0 <= right <= self._n
        assert g(self._e)

        if right == 0:
            return 0

        right += self._size
        for i in range(self._log, 0, -1):
            self._push((right - 1) >> i)

        sm = self._e
        first = True
        while first or (right & -right) != right:
            first = False
            right -= 1
            while right > 1 and right % 2:
                right >>= 1
            if not g(self._op(self._d[right], sm)):
                while right < self._size:
                    self._push(right)
                    right = 2 * right + 1
                    if g(self._op(self._d[right], sm)):
                        sm = self._op(self._d[right], sm)
                        right -= 1
                return right + 1 - self._size
            sm = self._op(self._d[right], sm)

        return 0

    def _update(self, k: int) -> None:
        self._d[k] = self._op(self._d[2 * k], self._d[2 * k + 1])

    def _all_apply(self, k: int, f: typing.Any) -> None:
        self._d[k] = self._mapping(f, self._d[k])
        if k < self._size:
            self._lz[k] = self._composition(f, self._lz[k])

    def _push(self, k: int) -> None:
        self._all_apply(2 * k, self._lz[k])
        self._all_apply(2 * k + 1, self._lz[k])
        self._lz[k] = self._id

def main():
    def isqrt(x):
        n=max(0,int(x**0.5)-1)
        while (n+1)**2<=x:
            n+=1
        return n
    def sp(x):
        now=[]
        for _ in range(7):
            now.append(x%(1<<64))
            x//=1<<64
        return now[::-1]
    def solve(n,q,a,qs):
        #[cnt,non0_cnt,f^0(x),f^1(x),...,f^4(x)]
        ans=[]
        def op(x,y):
            return x+y

        def conv(x):
            if x==0:
                return 1<<64
            else:
                ans=x
                for _ in range(4):
                    temp=ans%(1<<64)
                    ans<<=64
                    ans+=isqrt(temp)
                ans<<=64
                ans+=1
                ans<<=64
                ans+=1
                return ans
            
        def rot(x):
            #print(sp(x),"?")
            tail=x%(1<<128)
            #print(sp(x))
            x>>=128
            #print(sp(x))
            x<<=64
            #print(sp(x))
            x+=tail>>64
            #print(sp(x))
            x<<=128
            #print(sp(x))
            x|=tail
            #print(sp(x))
            x&=(1<<(64*7))-1
            #print(sp(x),"!")
            return x

        def mapping(f,x):
            if f==-10**9:
                return x
            elif f<0:
                now=x
                for _ in range(-f):
                    now=rot(now)
                return now
            else:
                return (x%(1<<64))*conv(f)
            
        def composition(f,g):
            if f==-10**9:
                return g
            if g==-10**9:
                return f
            if f>=0:
                return f
            if g>=0:
                return isqrt(g)
            else:
                return f+g
        seg=LazySegTree(op,0,mapping,composition,-10**9,[conv(i) for i in a])
        for _ in range(q):
            qq=qs[_]
            if qq[0]==0:
                l,r=qq[1:]
                ans.append(seg.prod(l,r)>>(64*6))
            elif qq[0]==1:
                l,r,x=qq[1:]
                seg.apply(l,r,x)
            else:
                l,r=qq[1:]
                seg.apply(l,r,-1)
            
            #print([sp(seg.get(i)) for i in range(n)])
        return ans

    def solve_naive(n,q,a,qs):
        now=a[:]
        ans=[]
        for _ in range(q):
            qq=qs[_]
            if qq[0]==0:
                l,r=qq[1:]
                ans.append(sum(a[l:r]))
            elif qq[0]==1:
                l,r,x=qq[1:]
                for i in range(l,r):
                    a[i]=x
            else:
                l,r=qq[1:]
                for i in range(l,r):
                    a[i]=isqrt(a[i])
        return ans
    
    n,q=nin()
    a=nin()
    qs=[nin() for i in range(q)]
    ans=solve(n,q,a,qs)
    for i in ans:
        print(i)
    return
    import random
    for _ in range(1000):
        n,q=random.randint(2,100),random.randint(1,100)
        a=[random.randint(0,10000000) for _ in range(n) ]
        qs=[]
        for _ in range(q):
            now=random.randint(1,3)
            l=random.randint(0,n-2)
            r=random.randint(l+1,n-1)
            if now==1:
                qs.append([now,l,r,random.randint(0,100)])
            elif now==2:
                qs.append([now,l,r])
            else:
                qs.append([now,l,r])
        ans1=solve(n,q,a,qs)
        ans2=solve_naive(n,q,a,qs)
        if ans1!=ans2:
            print(n,q)
            print(*a)
            for i in qs:
                print(*i)
            for i in ans1:
                print(i)
            for i in ans2:
                print(i)
                
if __name__=="__main__":
    main()
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