結果

問題 No.749 クエリ全部盛り
ユーザー toyuzukotoyuzuko
提出日時 2020-09-22 17:52:48
言語 PyPy3
(7.3.15)
結果
TLE  
実行時間 -
コード長 5,911 bytes
コンパイル時間 1,174 ms
コンパイル使用メモリ 86,896 KB
実行使用メモリ 495,024 KB
最終ジャッジ日時 2023-09-08 14:51:10
合計ジャッジ時間 10,954 ms
ジャッジサーバーID
(参考情報)
judge12 / judge14
このコードへのチャレンジ(β)

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 71 ms
75,676 KB
testcase_01 AC 71 ms
71,412 KB
testcase_02 AC 70 ms
71,292 KB
testcase_03 AC 71 ms
71,480 KB
testcase_04 AC 70 ms
71,396 KB
testcase_05 AC 194 ms
81,300 KB
testcase_06 AC 192 ms
79,960 KB
testcase_07 AC 189 ms
80,112 KB
testcase_08 AC 190 ms
81,300 KB
testcase_09 AC 193 ms
79,968 KB
testcase_10 AC 504 ms
102,496 KB
testcase_11 AC 507 ms
101,212 KB
testcase_12 AC 495 ms
102,164 KB
testcase_13 AC 495 ms
99,452 KB
testcase_14 AC 506 ms
100,948 KB
testcase_15 TLE -
testcase_16 -- -
testcase_17 -- -
testcase_18 -- -
testcase_19 -- -
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 #

class LazySegmentTree():
    def __init__(self, n, op, e, mapping, composition, id):
        self.n = n
        self.op = op
        self.e = e
        self.mapping = mapping
        self.composition = composition
        self.id = id
        self.log = (n - 1).bit_length()
        self.size = 1 << self.log
        self.d = [e] * (2 * self.size)
        self.lz = [id] * (self.size)

    def update(self, k):
        self.d[k] = self.op(self.d[2 * k], self.d[2 * k + 1])

    def all_apply(self, k, f):
        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):
        self.all_apply(2 * k, self.lz[k])
        self.all_apply(2 * k + 1, self.lz[k])
        self.lz[k] = self.id

    def build(self, arr):
        #assert len(arr) == self.n
        for i, a in enumerate(arr):
            self.d[self.size + i] = a
        for i in range(1, self.size)[::-1]:
            self.update(i)

    def set(self, p, x):
        #assert 0 <= p < self.n
        p += self.size
        for i in range(1, self.log + 1)[::-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):
        #assert 0 <= p < self.n
        p += self.size
        for i in range(1, self.log + 1):
            self.push(p >> i)
        return self.d[p]

    def prod(self, l, r):
        #assert 0 <= l <= r <= self.n
        if l == r: return self.e
        l += self.size
        r += self.size
        for i in range(1, self.log + 1)[::-1]:
            if ((l >> i) << i) != l: self.push(l >> i)
            if ((r >> i) << i) != r: self.push(r >> i)
        sml = smr = self.e
        while l < r:
            if l & 1:
                sml = self.op(sml, self.d[l])
                l += 1
            if r & 1:
                r -= 1
                smr = self.op(self.d[r], smr)
            l >>= 1
            r >>= 1
        return self.op(sml, smr)

    def all_prod(self):
        return self.d[1]

    def apply(self, p, f):
        #assert 0 <= p < self.n
        p += self.size
        for i in range(1, self.log + 1)[::-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)

    def range_apply(self, l, r, f):
        #assert 0 <= l <= r <= self.n
        if l == r: return
        l += self.size
        r += self.size
        for i in range(1, self.log + 1)[::-1]:
            if ((l >> i) << i) != l: self.push(l >> i)
            if ((r >> i) << i) != r: self.push((r - 1) >> i)
        l2 = l
        r2 = r
        while l < r:
            if l & 1:
                self.all_apply(l, f)
                l += 1
            if r & 1:
                r -= 1
                self.all_apply(r, f)
            l >>= 1
            r >>= 1
        l = l2
        r = r2
        for i in range(1, self.log + 1):
            if ((l >> i) << i) != l: self.update(l >> i)
            if ((r >> i) << i) != r: self.update((r - 1) >> i)

    def max_right(self, l, g):
        #assert 0 <= l <= self.n
        #assert g(self.e)
        if l == self.n: return self.n
        l += self.size
        for i in range(1, self.log + 1)[::-1]:
            self.push(l >> i)
        sm = self.e
        while True:
            while l % 2 == 0: l >>= 1
            if not g(self.op(sm, self.d[l])):
                while l < self.size:
                    self.push(l)
                    l = 2 * l
                    if g(self.op(sm, self.d[l])):
                        sm = self.op(sm, self.d[l])
                        l += 1
                return l - self.size
            sm = self.op(sm, self.d[l])
            l += 1
            if (l & -l) == l: return self.n

    def min_left(self, r, g):
        #assert 0 <= r <= self.n
        #assert g(self.e)
        if r == 0: return 0
        r += self.size
        for i in range(1, self.log + 1)[::-1]:
            self.push((r - 1) >> i)
        sm = self.e
        while True:
            r -= 1
            while r > 1 and r % 2: r >>= 1
            if not g(self.op(self.d[r], sm)):
                while r < self.size:
                    self.push(r)
                    r = 2 * r + 1
                    if g(self.op(self.d[r], sm)):
                        sm = self.op(self.d[r], sm)
                        r -= 1
                return r + 1 - self.size
            sm = self.op(self.d[r], sm)
            if (r & -r) == r: return 0


def fibonacci(n, mod=1000000007):
    res = [0 for _ in range(n + 1)]
    res[0] = 0
    res[1] = 1
    for i in range(2, n + 1):
        res[i] = res[i - 1] + res[i - 2]
        res[i] %= mod
    return res

import sys
input = sys.stdin.buffer.readline

MOD = 1000000007

N, Q = map(int, input().split())

F = fibonacci(N)

arr = [(0, 1, F[i]) for i in range(N)]

e = (0, 0, 0)
id = (1, 0, 0)

def op(a, b):
    a1, a2, a3 = a
    b1, b2, b3 = b
    c1 = (a1 + b1) % MOD
    c2 = (a2 + b2) % MOD
    c3 = (a3 + b3) % MOD
    return c1, c2, c3

def mapping(x, a):
    x1, x2, x3 = x
    a1, a2, a3 = a
    c1 = (a1 * x1 + a2 * x2 + a3 * x3) % MOD
    c2 = a2 % MOD
    c3 = a3 % MOD
    return c1, c2, c3

def composition(x, y):
    x1, x2, x3 = x
    y1, y2, y3 = y
    z1 = (x1 * y1) % MOD
    z2 = (x1 * y2 + x2) % MOD
    z3 = (x1 * y3 + x3) % MOD
    return z1, z2, z3

st = LazySegmentTree(N, op, e, mapping, composition, id)
st.build(arr)

res = []

for _ in range(Q):
    q, l, r, k = map(int, input().split())
    if q == 0:
        res.append(k * st.prod(l, r + 1)[0] % MOD)
    elif q == 1:
        st.range_apply(l, r + 1, (0, k, 0))
    elif q == 2:
        st.range_apply(l, r + 1, (1, k, 0))
    elif q == 3:
        st.range_apply(l, r + 1, (k, 0, 0))
    else:
        st.range_apply(l, r + 1, (1, 0, k))

print('\n'.join(map(str, res)))
0