結果

問題 No.2697 Range LIS Query
ユーザー rlangevinrlangevin
提出日時 2024-03-23 01:19:12
言語 PyPy3
(7.3.15)
結果
AC  
実行時間 8,099 ms / 10,000 ms
コード長 5,867 bytes
コンパイル時間 434 ms
コンパイル使用メモリ 82,136 KB
実行使用メモリ 279,112 KB
最終ジャッジ日時 2024-09-30 12:57:32
合計ジャッジ時間 75,353 ms
ジャッジサーバーID
（参考情報） 		judge3 / judge2
このコードへのチャレンジ
（要ログイン）

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 43 ms
52,864 KB
testcase_01 AC 43 ms
52,736 KB
testcase_02 AC 45 ms
53,760 KB
testcase_03 AC 903 ms
92,544 KB
testcase_04 AC 874 ms
91,924 KB
testcase_05 AC 851 ms
91,472 KB
testcase_06 AC 6,791 ms
270,536 KB
testcase_07 AC 6,819 ms
270,916 KB
testcase_08 AC 4,223 ms
266,192 KB
testcase_09 AC 6,879 ms
199,756 KB
testcase_10 AC 6,662 ms
197,232 KB
testcase_11 AC 7,048 ms
204,016 KB
testcase_12 AC 5,214 ms
270,824 KB
testcase_13 AC 3,795 ms
268,092 KB
testcase_14 AC 4,518 ms
267,636 KB
testcase_15 AC 5,439 ms
268,988 KB
testcase_16 AC 5,216 ms
268,196 KB
testcase_17 AC 8,099 ms
279,112 KB
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 # 

import sys
input = sys.stdin.readline


class LazySegmentTree:
    def __init__(
        self,
        n,
        identity_e_node,
        identity_e_lazy,
        combine_node_f,
        combine_lazy_f,
        reflect_f,
    ):
        self._n = n
        self._size = 1
        self._height = 0
        while self._size < self._n:
            self._size <<= 1
            self._height += 1
        self._identity_e_node = identity_e_node
        self._identity_e_lazy = identity_e_lazy
        self._combine_node_f = combine_node_f
        self._combine_lazy_f = combine_lazy_f
        self._reflect_f = reflect_f
        self._node = [self._identity_e_node] * (2 * self._size)
        self._lazy = [self._identity_e_lazy] * (2 * self._size)

    # 遅延データの値を値データに反映させたときの値を返す。
    def _reflect_lazy(self, index):
        return self._reflect_f(self._node[index], self._lazy[index])

    def _propagate_from_top(self, index):
        index += self._size
        for h in range(self._height, 0, -1):
            i = index >> h
            if self._lazy[i] != self._identity_e_lazy:
                self._lazy[i << 1] = self._combine_lazy_f(
                    self._lazy[i << 1], self._lazy[i]
                )
                self._lazy[i << 1 | 1] = self._combine_lazy_f(
                    self._lazy[i << 1 | 1], self._lazy[i]
                )
                self._node[i] = self._reflect_lazy(i)
                self._lazy[i] = self._identity_e_lazy

    def _update_from_bottom(self, index):
        index = (index + self._size) >> 1
        while index:
            self._node[index] = self._combine_node_f(
                self._reflect_lazy(index << 1),
                self._reflect_lazy(index << 1 | 1)
            )
            index >>= 1

    def build(self, array):
        assert len(array) == self._n
        for index, value in enumerate(array, start=self._size):
            self._node[index] = value
        for index in range(self._size - 1, 0, -1):
            self._node[index] = self._combine_node_f(
                self._node[index << 1],
                self._node[index << 1 | 1]
            )

    # 区間更新 位置[L, R) (0-indexed)を値valueで更新
    def update(self, L, R, value):
        self._propagate_from_top(L)
        self._propagate_from_top(R - 1)
        L_lazy = L + self._size
        R_lazy = R + self._size
        while L_lazy < R_lazy:
            if L_lazy & 1:
                self._lazy[L_lazy] = self._combine_lazy_f(
                    self._lazy[L_lazy], value)
                L_lazy += 1
            if R_lazy & 1:
                R_lazy -= 1
                self._lazy[R_lazy] = self._combine_lazy_f(
                    self._lazy[R_lazy], value)
            L_lazy >>= 1
            R_lazy >>= 1
        self._update_from_bottom(L)
        self._update_from_bottom(R - 1)

    # 区間取得 区間[L, R) (0-indexed)内の要素について
    # L番目から順にcombine_node_fを適用した値を返す。
    def fold(self, L, R):
        self._propagate_from_top(L)
        self._propagate_from_top(R - 1)
        L += self._size
        R += self._size
        value_L = self._identity_e_node
        value_R = self._identity_e_node
        while L < R:
            if L & 1:
                value_L = self._combine_node_f(value_L, self._reflect_lazy(L))
                L += 1
            if R & 1:
                R -= 1
                value_R = self._combine_node_f(self._reflect_lazy(R), value_R)
            L >>= 1
            R >>= 1
        return self._combine_node_f(value_L, value_R)

    def __str__(self):
        temp = []
        for i in range(self._n):
            temp.append(str(self.fold(i, i + 1)))
        return ' '.join(temp)


def combine_lazy_f(lhs, rhs):
    if rhs == -1:
        return lhs
    return rhs


def reflect_f(node, lazy):
    if lazy == -1:
        return node
    c = [0] * 11
    for i in range(10):
        c[i] = lazy[i] * node[-1]
    c[-1] = node[-1]
    return c


N = int(input())
A = list(map(int, input().split()))


def f(a):
    L = [0] * 11
    if a == 1:
        L[0] = 1
    elif a == 2:
        L[4] = 1
    elif a == 3:
        L[7] = 1
    else:
        L[9] = 1
    L[-1] = 1
    return L


def op(a, b):
    c = [0] * 11
    # 11 -> 11
    c[0] = a[0] + b[0]
    # 11 -> 12, 11 -> 22, 12 -> 22
    c[1] = max(a[0] + b[1], a[0] + b[4], a[1] + b[4])
    # 11 -> 13, 11 -> 23, 11 -> 33,
    # 12 -> 23, 12 -> 33,
    # 13 -> 33
    c[2] = max(a[0] + b[2], a[0] + b[5], a[0] + b[7],
               a[1] + b[5], a[1] + b[7], a[2] + b[7])
    # 11 -> 14, 11 -> 24, 11 -> 34, 11 -> 44
    # 12 -> 24, 12 -> 34, 12 -> 44
    # 13 -> 34, 13 -> 44, 14 -> 44
    c[3] = max(a[0] + b[3], a[0] + b[6], a[0] + b[8], a[0] + b[9],
               a[1] + b[6], a[1] + b[8], a[1] + b[9],
               a[2] + b[8], a[2] + b[9], a[3] + b[9])
    # 22 -> 22
    c[4] = a[4] + b[4]
    # 22 -> 23, 22 -> 33, 23 -> 33
    c[5] = max(a[4] + b[5], a[4] + b[7], a[5] + b[7])
    # 22 -> 24, 22 -> 34, 22 -> 44
    # 23 -> 34, 23 -> 44, 24 -> 44
    c[6] = max(a[4] + b[6], a[4] + b[8], a[4] + b[9],
               a[5] + b[8], a[5] + b[9], a[6] + b[9])
    # 33 -> 33
    c[7] = a[7] + b[7]
    # 33 -> 34, 33 -> 44, 34 -> 44
    c[8] = max(a[7] + b[8], a[7] + b[9], a[8] + b[9])
    # 44 -> 44
    c[9] = a[9] + b[9]
    c[10] = a[10] + b[10]
    return c


D = list(map(f, A))
T = LazySegmentTree(N,
                    [0] * 11,
                    -1,
                    op,
                    combine_lazy_f,
                    reflect_f)
T.build(D)

Q = int(input())
for _ in range(Q):
    q = list(map(int, input().split()))
    if q[0] == 1:
        l, r = q[1:]
        print(max(T.fold(l - 1, r)[:-1]))
    else:
        l, r, x = q[1:]
        L = f(x)
        T.update(l - 1, r, L)
0