結果

問題 No.1234 典型RMQ
ユーザー convexineqconvexineq
提出日時 2024-04-01 18:35:47
言語 PyPy3
(7.3.15)
結果
AC  
実行時間 396 ms / 2,000 ms
コード長 7,304 bytes
コンパイル時間 168 ms
コンパイル使用メモリ 82,216 KB
実行使用メモリ 95,544 KB
最終ジャッジ日時 2024-09-30 21:57:08
合計ジャッジ時間 10,310 ms
ジャッジサーバーID
（参考情報） 		judge3 / judge5
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 44 ms
54,016 KB
testcase_01 AC 48 ms
54,272 KB
testcase_02 AC 45 ms
53,632 KB
testcase_03 AC 44 ms
53,376 KB
testcase_04 AC 44 ms
53,888 KB
testcase_05 AC 44 ms
53,632 KB
testcase_06 AC 374 ms
89,512 KB
testcase_07 AC 336 ms
78,900 KB
testcase_08 AC 381 ms
94,632 KB
testcase_09 AC 357 ms
84,360 KB
testcase_10 AC 389 ms
92,580 KB
testcase_11 AC 383 ms
89,472 KB
testcase_12 AC 372 ms
83,996 KB
testcase_13 AC 356 ms
78,992 KB
testcase_14 AC 369 ms
83,736 KB
testcase_15 AC 380 ms
82,444 KB
testcase_16 AC 395 ms
92,928 KB
testcase_17 AC 372 ms
83,768 KB
testcase_18 AC 336 ms
78,620 KB
testcase_19 AC 396 ms
95,104 KB
testcase_20 AC 271 ms
94,380 KB
testcase_21 AC 387 ms
89,472 KB
testcase_22 AC 372 ms
94,852 KB
testcase_23 AC 370 ms
95,196 KB
testcase_24 AC 358 ms
95,360 KB
testcase_25 AC 356 ms
95,544 KB
testcase_26 AC 370 ms
95,360 KB
testcase_27 AC 43 ms
54,144 KB
testcase_28 AC 43 ms
54,272 KB
testcase_29 AC 44 ms
54,144 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 # 

class LazySegmentTree:
    #seg = LazySegmentTree(op_X, e_X, mapping, composision_of_Aut_X, id_of_Aut_X, N, array=None):
    def __init__(self, op_X, e_X, mapping, composision_of_Aut_X, id_of_Aut_X, N, array=None):
        #  それぞれ  Xの演算, 単位元, f(x), f\circ g,             Xの恒等変換
        # M が X に作用する
        #__slots__ = ["op_X",  "e_X",  "mapping","compose","id_M","N","log","N0","data","lazy"]
        self.e_X = e_X; self.op_X = op_X; self.mapping = mapping; self.compose = composision_of_Aut_X; self.id_M = id_of_Aut_X
        self.N = N
        self.log = (N-1).bit_length()
        self.N0 = 1<<self.log
        self.data = [e_X]*(2*self.N0)
        self.lazy = [self.id_M]*self.N0
        if array is not None:
            assert N == len(array)
            self.data[self.N0:self.N0+self.N] = array
            for i in range(self.N0-1,0,-1): self.update(i)

    # 1点更新
    def point_set(self, p, x):
        p += self.N0
        for i in range(self.log, 0,-1):
            self.push(p>>i)
        self.data[p] = x
        for i in range(1, self.log + 1):
            self.update(p>>i)
 
    # 1点取得
    def point_get(self, p):
        p += self.N0
        for i in range(self.log, 0, -1):
            self.push(p>>i)
        return self.data[p]
 
    # 半開区間[L,R)をopでまとめる
    def prod(self, l, r):
        if l == r: return self.e_X
        l += self.N0
        r += self.N0
        for i in range(self.log, 0, -1):
            if (l>>i)<<i != l:
                self.push(l>>i)
            if (r>>i)<<i != r:
                self.push(r>>i)

        sml = smr = self.e_X
        while l < r:
            if l & 1: 
                sml = self.op_X(sml, self.data[l])
                l += 1
            if r & 1:
                r -= 1
                smr = self.op_X(self.data[r], smr)
            l >>= 1
            r >>= 1
        return self.op_X(sml, smr)
 
    # 全体をopでまとめる
    def all_prod(self): return self.data[1]
 
    # 1点作用
    def apply_point(self, p, f):
        p += self.N0
        for i in range(self.log, 0, -1):
            self.push(p>>i)
        self.data[p] = self.mapping(f, self.data[p])
        for i in range(1, self.log + 1):
            self.update(p>>i)
 
    # 区間作用
    def apply(self, l, r, f):
        if l == r: return
        l += self.N0
        r += self.N0
        
        """
        for i in range(self.log, 0, -1):
            if (l>>i)<<i != l:
                self.push(l>>i)
            if (r>>i)<<i != r:
                self.push((r-1)>>i)
        """

        l2, r2 = l, 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, r = l2, r2
        for i in range(1, self.log + 1):
            if (l>>i)<<i != l:
                self.update_with_lazy(l>>i)
            if (r>>i)<<i != r:
                self.update_with_lazy((r-1)>>i)
     
    """
    始点 l を固定
    f(x_l*...*x_{r-1}) が True になる最大の r 
    つまり TTTTFFFF となるとき、F となる最小の添え字
    存在しない場合 n が返る
    f(e_M) = True でないと壊れる
    """
    def max_right(self, l, g):
        if l == self.N: return self.N
        l += self.N0
        for i in range(self.log, 0, -1): self.push(l>>i)
        sm = self.e_X
        while True:
            while l&1 == 0:
                l >>= 1
            if not g(self.op_X(sm, self.data[l])):
                while l < self.N0:
                    self.push(l)
                    l *= 2
                    if g(self.op_X(sm, self.data[l])):
                        sm = self.op_X(sm, self.data[l])
                        l += 1
                return l - self.N0
            sm = self.op_X(sm, self.data[l])
            l += 1
            if l&-l == l: break
        return self.N
 
    """
    終点 r を固定
    f(x_l*...*x_{r-1}) が True になる最小の l
    つまり FFFFTTTT となるとき、T となる最小の添え字
    存在しない場合 r が返る
    f(e_M) = True でないと壊れる
    """
    def min_left(self, r, g):
        if r == 0: return 0
        r += self.N0
        for i in range(self.log, 0, -1): self.push((r-1)>>i)
        sm = self.e_X
        while True:
            r -= 1
            while r>1 and r&1:
                r >>= 1
            if not g(self.op_X(self.data[r], sm)):
                while r < self.N0:
                    self.push(r)
                    r = 2*r + 1
                    if g(self.op_X(self.data[r], sm)):
                        sm = self.op_X(self.data[r], sm)
                        r -= 1
                return r + 1 - self.N0
            sm = self.op_X(self.data[r], sm)
            if r&-r == r: break
        return 0
        
    # 以下内部関数
    def update(self, k):
        self.data[k] = self.op_X(self.data[2*k], self.data[2*k+1])
    def update_with_lazy(self, k):
        self.data[k] = self.mapping(self.lazy[k], self.op_X(self.data[2*k], self.data[2*k+1]))
    
    def all_apply(self, k, f):
        self.data[k] = self.mapping(f, self.data[k])
        if k < self.N0:
            self.lazy[k] = self.compose(f, self.lazy[k])

    def push(self, k): #propagate と同じ
        if self.lazy[k] is self.id_M: return
        self.data[2*k  ] = self.mapping(self.lazy[k], self.data[2*k])
        self.data[2*k+1] = self.mapping(self.lazy[k], self.data[2*k+1])
        if 2*k < self.N0:
            self.lazy[2*k]   = self.compose(self.lazy[k], self.lazy[2*k])
            self.lazy[2*k+1] = self.compose(self.lazy[k], self.lazy[2*k+1])
        self.lazy[k] = self.id_M

###################################################################
#
###################################################################

def make_binarytree_string(lst):
    def find(i):
        i += 1; k = 0
        while i%2==0:
            i //= 2; k += 1
        return (1<<logN-k-1) + i//2
    
    def substitute_big_to_INF(x):
        if type(x) is int and x >= 10**9:
            return "INF"
        else:
            return str(x)
    
    N = len(lst)
    logN =  N.bit_length()-1
    assert 1<<logN == N
    arranged = [find(i) for i in range(N-1)]
    #tabstring = [" "*len(str(lst[i]))+"\t" for i in arranged]
    spacestring = [" "*len(substitute_big_to_INF(lst[i])) for i in arranged]

    res = []    
    for i in range(logN):
        base = 1<<i
        skip = 1<<(logN-i)
        start = skip//2 - 1
        r = spacestring[:]
        for j,v in enumerate(lst[base:base*2]):
            r[start + j*skip] = substitute_big_to_INF(v)
        res.append("".join(r))
    return res


class RangeAddRangeMin(LazySegmentTree):
    def __init__(self,N,MAX,array=None):
        from operator import add
        super().__init__(min, MAX, add, add, 0, N, array)

import sys
readline = sys.stdin.readline

n, = map(int, readline().split())
*a, = map(int, readline().split())
q, = map(int, readline().split())

seg = RangeAddRangeMin(n,1<<60,a)

for _ in range(q):
    k,l,r,c = map(int, readline().split())
    if k==1:
        seg.apply(l-1,r,c)
    else:
        print(seg.prod(l-1,r))
0