結果

問題 No.1967 Sugoroku Optimization
ユーザー rlangevin
提出日時 2023-04-27 12:29:24
言語 PyPy3
(7.3.15)
結果
TLE  
実行時間 -
コード長 4,330 bytes
コンパイル時間 722 ms
コンパイル使用メモリ 82,176 KB
実行使用メモリ 320,344 KB
最終ジャッジ日時 2024-11-16 19:56:32
合計ジャッジ時間 31,873 ms
ジャッジサーバーID
（参考情報） 		judge5 / judge2
このコードへのチャレンジ
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ファイルパターン 結果
sample AC * 1 TLE * 2
other AC * 14 TLE * 7
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 #
プレゼンテーションモードにする

class LazySegmentTree:
    def __init__(
        self,
        n,
        indentity_e_node,
        indentity_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._indentity_e_node = indentity_e_node
        self._indentity_e_lazy = indentity_e_lazy
        self._combine_node_f = combine_node_f
        self._combine_lazy_f = combine_lazy_f
        self._reflect_f = reflect_f
        self._node = [self._indentity_e_node] * (2 * self._size)
        self._lazy = [self._indentity_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._indentity_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._indentity_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._indentity_e_node
        value_R = self._indentity_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(value_R, self._reflect_lazy(R))
            L >>= 1
            R >>= 1
        return self._combine_node_f(value_L, value_R)
N, K = map(int, input().split())
inv = [1] * (N + 1)
mod = 998244353
for i in range(1, N + 1):
    inv[i] = pow(i, mod - 2, mod)
# pre = [0] * (N + 1)
# pre[0] = 1
pre = LazySegmentTree(N + 1, 0, 0, max, lambda x, y:x+y, lambda x, y:x+y)
ans = 0
pre.update(0, 1, 1)
for k in range(K):
    now = LazySegmentTree(N + 1, 0, 0, max, lambda x, y:x+y, lambda x, y:x+y)
    for i in range(N):
        # for j in range(i + 1, N + 1):
        #     now[j] += inv[N - i] * pre[i]
        now.update(i + 1, N + 1, inv[N - i] * pre.fold(i, i + 1) % mod)
    ans += now.fold(N, N + 1)
    ans %= mod
    pre, now = now, pre
    
print(ans)
 
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