#749846 (PyPy3) No.1332 Range Nearest Query

• 問題: No.1332 Range Nearest Query
• ユーザー: ああいい
• 提出日時: 2022-03-31 23:06:11
• 言語: PyPy3 (7.3.15)
• 結果: AC
• 実行時間: 1,613 ms / 2,500 ms
• コード長: 4,412 bytes
• コンパイル時間: 415 ms
• コンパイル使用メモリ: 82,176 KB
• 実行使用メモリ: 280,000 KB
• 最終ジャッジ日時: 2024-11-17 16:20:35
• 合計ジャッジ時間: 52,208 ms
• ジャッジサーバーID （参考情報）: judge1 / judge5

ファイルパターン	結果
other	AC * 48

ソースコード

1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
#WaveletMatrix
class BitVector():
    def __init__(self,A):
        self.n = len(A)
        SA = [0] * (self.n + 1)
        for i,a in enumerate(A):
            SA[i+1] = SA[i] + a
        self.SA = SA
    def rank1(self,r):
        return self.SA[r]
    def rank0(self,r):
        return r - self.SA[r]
    def select0(self,k):
        l,r = 0,len(self,SA)
        if not k < r - 1 - self.SA[r-1]:
            return -1
        while r - l > 1:
            m = l + r >> 1
            if m - self.SA[m] <= k:
                l = m
            else:
                r = m
        return l
    def select1(self,k):
        l,r = 0,len(self.SA)
        if not k < self.SA[r-1]:
            return -1
        while r - l > 1:
            m = l + r >> 1
            if self.SA[m] <= k:
                l = m
            else:
                r = m
        return l
class WaveletMatrix():
    # s: word size. Ai <= 10**6 なら 20
    #   Ai <= 10**9 なら　30 ぐらいで
    # (word size < 1 << s となるよう)
    def __init__(self,s,A):
        self.s = s
        self.A = A
        self.n = len(A)
        self.X = []
        B = A.copy()
        for i in reversed(range(s)):
            mask = 1 << i
            L = []
            R = []
            T = []
            for a in B:
                if a & mask:
                    T.append(1)
                    R.append(a)
                else:
                    T.append(0)
                    L.append(a)
            vb = BitVector(T)
            self.X.append((vb.rank0(self.n),vb))
            B = L + R
        self.X = self.X[::-1]
    def access(self,i):
        return self.A[i]
    # A[l,r)内のvalueの数を求める 
    def rank(self,l,r,value):
        if l >= r:return 0
        for i in reversed(range(self.s)):
            z,vb = self.X[i]
            if value >> i & 1:
                l = z + vb.rank1(l)
                r = z + vb.rank1(r)
            else:
                l = vb.rank0(l)
                r = vb.rank0(r)
        return r - l
    def select(self,value,k):
        #A内のk番目のvalueのindexを返す
        #value が k個なければ-1を返す
        if self.rank(0,self.n,value) <= k:return -1
        ind = 0
        for i in reversed(range(self.s)):
            z,v = self.X[i]
            if value >> 1 & 1:
                ind = z + vb.rank1(ind)
            else:
                ind = vb.rank0(int)
        ind += k
        for i in range(self.s):
            z,vb = self.X[i]
            if ind < z:
                ind = vb.select0(ind)
            else:
                ind = vb.select1(ind-z)
        return ind
    def freq_to(self,l,r,value):
        # 0 <= A[i] < value な　数を求める
        if not value:return 0
        if l >= r:return 0
        ret = 0
        for i in reversed(range(self.s)):
            z,vb = self.X[i]
            if value >> i & 1:
                ret += vb.rank0(r) - vb.rank0(l)
                l = z + vb.rank1(l)
                r = z + vb.rank1(r)
            else:
                l = vb.rank0(l)
                r = vb.rank0(r)
        return ret
    
    def freq(self,l,r,d,u):
        # d <= A[i] < u なる数を求める
        if d >= u:return 0
        return self.freq_to(l,r,u) - self.freq_to(l,r,d)
    def quantile(self,l,r,k):
        # [l,r) のk番目に小さい数の返す
        # k: 0-index k = 0で一番小さい数を返す
        if k >= r - l:return -1
        ret = 0
        for i in reversed(range(self.s)):
            z,vb = self.X[i]
            zeros = vb.rank0(r) - vb.rank0(l)
            if zeros > k:
                l = vb.rank0(l)
                r = vb.rank0(r)
            else:
                k -= zeros
                ret |= 1 << i
                l = z + vb.rank1(l)
                r = z + vb.rank1(r)
        return ret
    def quantile2(self,l,r,k):
        #[l,r)のk番目に大きい数を返す
        # k: 0-index
        return self.quantile(l,r,r-l-k-1)
import sys
rr = sys.stdin
N = int(rr.readline())
X = list(map(int,rr.readline().split()))
Q = int(rr.readline())
inf = 10 ** 9 + 5
wm = WaveletMatrix(30,X)
for _ in range(Q):
    l,r,x = map(int,rr.readline().split())
    t = wm.freq_to(l-1,r,x+1)
    ans = inf
    if t > 0:
        u = wm.quantile(l-1,r,t-1)
        ans = x - u
    if t < r - l + 1:
        s = wm.quantile(l-1,r,t)
        ans = min(ans,s - x)
    print(ans)
 
 
הההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההה
XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX