結果
| 問題 | No.2592 おでぶなおばけさん 2 | 
| コンテスト | |
| ユーザー |  rlangevin | 
| 提出日時 | 2023-12-20 22:43:20 | 
| 言語 | PyPy3 (7.3.15) | 
| 結果 | 
                                AC
                                 
                             | 
| 実行時間 | 988 ms / 2,500 ms | 
| コード長 | 2,566 bytes | 
| コンパイル時間 | 598 ms | 
| コンパイル使用メモリ | 82,500 KB | 
| 実行使用メモリ | 108,864 KB | 
| 最終ジャッジ日時 | 2024-09-27 10:11:42 | 
| 合計ジャッジ時間 | 62,073 ms | 
| ジャッジサーバーID (参考情報) | judge1 / judge5 | 
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| ファイルパターン | 結果 | 
|---|---|
| sample | AC * 1 | 
| other | AC * 83 | 
ソースコード
class SegmentTree:
    def __init__(self,
                 n,
                 identity_e,
                 combine_f,
                 ):
        self._n = n
        self._size = 1
        while self._size < self._n:
            self._size <<= 1
        self._identity_e = identity_e
        self._combine_f = combine_f
        self._node = [self._identity_e] * (2 * self._size)
        
    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_f(
                self._node[index << 1 | 0],
                self._node[index << 1 | 1]
            )
            
    def update(self, index, value):
        i = self._size + index
        self._node[i] = value
        while i > 1:
            i >>= 1
            self._node[i] = self._combine_f(
                self._node[i << 1 | 0],
                self._node[i << 1 | 1]
            )
            
    def fold(self, L, R):
        L += self._size
        R += self._size
        value_L = self._identity_e
        value_R = self._identity_e
        while L < R:
            if L & 1:
                value_L = self._combine_f(value_L, self._node[L])
                L += 1
            if R & 1:
                R -= 1
                value_R = self._combine_f(self._node[R], value_R)
            L >>= 1
            R >>= 1
        
        return self._combine_f(value_L, value_R)
            
            
N, Q, K = map(int, input().split())
A = list(map(int, input().split()))
mod1 = 10 ** 9 + 9
mod2 = 1 << 31 + 1
mod3 = 1 << 31 - 1
p1 = [1] * (N + 1)
p2 = [1] * (N + 1)
p3 = [1] * (N + 1)
for i in range(N):
    p1[i + 1] = p1[i] * K % mod1
    p2[i + 1] = p2[i] * K % mod2
    p3[i + 1] = p3[i] * K % mod3
def op1(x, y):
    a = (x[0] + y[0] * p1[x[1]]) % mod1
    b = x[1] + y[1]
    return (a, b)
def op2(x, y):
    a = (x[0] + y[0] * p2[x[1]]) % mod2
    b = x[1] + y[1]
    return (a, b)
def op3(x, y):
    a = (x[0] + y[0] * p3[x[1]]) % mod3
    b = x[1] + y[1]
    return (a, b)
    
T1 = SegmentTree(N, (0, 0), op1)
T2 = SegmentTree(N, (0, 0), op2)
T3 = SegmentTree(N, (0, 0), op3)
for i in range(N):
    T1.update(i, (A[i]%mod1, 1))
    T2.update(i, (A[i]%mod2, 1))
    T3.update(i, (A[i]%mod3, 1))
    
for i in range(Q):
    l, r = map(int, input().split())
    l -= 1
    if T1.fold(l, r)[0] or T2.fold(l, r)[0] or T3.fold(l, r)[0]:
        print("Yes")
    else:
        print("No")
            
            
            
        