結果

問題 No.2248 max(C)-min(C)
ユーザー tamatotamato
提出日時 2023-03-17 22:51:27
言語 PyPy3
(7.3.15)
結果
TLE  
実行時間 -
コード長 4,180 bytes
コンパイル時間 132 ms
コンパイル使用メモリ 82,296 KB
実行使用メモリ 263,300 KB
最終ジャッジ日時 2024-09-18 12:00:50
合計ジャッジ時間 56,691 ms
ジャッジサーバーID
（参考情報） 		judge3 / judge1
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 37 ms
53,248 KB
testcase_01 AC 35 ms
53,120 KB
testcase_02 AC 38 ms
53,120 KB
testcase_03 AC 108 ms
77,732 KB
testcase_04 AC 91 ms
76,552 KB
testcase_05 AC 78 ms
76,544 KB
testcase_06 AC 121 ms
78,448 KB
testcase_07 AC 117 ms
78,544 KB
testcase_08 AC 138 ms
79,260 KB
testcase_09 AC 119 ms
78,360 KB
testcase_10 AC 70 ms
76,372 KB
testcase_11 AC 120 ms
78,352 KB
testcase_12 AC 103 ms
77,820 KB
testcase_13 AC 121 ms
78,124 KB
testcase_14 AC 120 ms
78,572 KB
testcase_15 AC 134 ms
79,008 KB
testcase_16 AC 98 ms
77,628 KB
testcase_17 AC 110 ms
78,148 KB
testcase_18 AC 1,141 ms
250,752 KB
testcase_19 AC 205 ms
100,736 KB
testcase_20 AC 1,340 ms
250,620 KB
testcase_21 AC 1,263 ms
241,836 KB
testcase_22 AC 898 ms
228,220 KB
testcase_23 AC 614 ms
169,896 KB
testcase_24 AC 283 ms
107,748 KB
testcase_25 AC 1,159 ms
258,656 KB
testcase_26 AC 1,056 ms
262,940 KB
testcase_27 AC 1,204 ms
257,508 KB
testcase_28 AC 203 ms
97,300 KB
testcase_29 AC 1,057 ms
248,324 KB
testcase_30 AC 514 ms
149,868 KB
testcase_31 AC 1,284 ms
250,212 KB
testcase_32 AC 304 ms
113,340 KB
testcase_33 AC 465 ms
144,620 KB
testcase_34 AC 1,358 ms
250,752 KB
testcase_35 AC 1,338 ms
250,688 KB
testcase_36 AC 1,432 ms
250,392 KB
testcase_37 AC 690 ms
193,936 KB
testcase_38 AC 2,101 ms
252,916 KB
testcase_39 AC 2,780 ms
252,728 KB
testcase_40 AC 2,086 ms
252,976 KB
testcase_41 AC 2,481 ms
263,300 KB
testcase_42 AC 2,839 ms
253,088 KB
testcase_43 AC 1,876 ms
242,540 KB
testcase_44 AC 2,054 ms
253,332 KB
testcase_45 AC 1,626 ms
242,992 KB
testcase_46 AC 1,316 ms
164,740 KB
testcase_47 AC 2,198 ms
253,528 KB
testcase_48 AC 740 ms
227,904 KB
testcase_49 TLE -
testcase_50 TLE -
testcase_51 TLE -
testcase_52 TLE -
testcase_53 WA -
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
from bisect import bisect_left
mod = 998244353


class SparseTable():
    def __init__(self, A, STfunc):
        # A: 処理したい数列
        self.N = len(A)
        self.K = self.N.bit_length() - 1
        self.table = [0] * (self.N * (self.K + 1))
        self.STfunc = STfunc
        for i, a in enumerate(A):
            self.table[i] = a
        for k in range(1, self.K + 1):
            for i in range(self.N):
                j = i + (1 << (k-1))
                if j <= self.N-1:
                    self.table[i + k * self.N] = STfunc(self.table[i + (k-1) * self.N], self.table[j + (k-1) * self.N])

    def query(self, l, r):
        l -= 1
        r -= 1
        # [l, r)の最小値を求める
        k = (r-l).bit_length() - 1
        return self.STfunc(self.table[l + k * self.N], self.table[r - (1 << k) + k * self.N])


class SegmentTree:
    def __init__(self, A, initialize=True, segfunc=min, ident=2000000000):
        self.N = len(A)
        self.LV = (self.N - 1).bit_length()
        self.N0 = 1 << self.LV
        self.segfunc = segfunc
        self.ident = ident
        if initialize:
            self.data = [self.ident] * self.N0 + A + [self.ident] * (self.N0 - self.N)
            for i in range(self.N0 - 1, 0, -1):
                self.data[i] = segfunc(self.data[i * 2], self.data[i * 2 + 1])
        else:
            self.data = [self.ident] * (self.N0 * 2)

    def update(self, i, x):
        i += self.N0 - 1
        self.data[i] = x
        for _ in range(self.LV):
            i >>= 1
            self.data[i] = self.segfunc(self.data[i * 2], self.data[i * 2 + 1])

    def get(self, i):
        return self.data[i + self.N0 - 1]

    # open interval [l, r)
    def query(self, l, r):
        l += self.N0 - 1
        r += self.N0 - 1
        ret_l = self.ident
        ret_r = self.ident
        while l < r:
            if l & 1:
                ret_l = self.segfunc(ret_l, self.data[l])
                l += 1
            if r & 1:
                ret_r = self.segfunc(self.data[r - 1], ret_r)
                r -= 1
            l >>= 1
            r >>= 1
        return self.segfunc(ret_l, ret_r)

    # return smallest i(l <= i < r) s.t. check(A[i]) == True
    def binsearch(self, l, r, check):
        if not check(self.query(l, r)):
            return r
        l += self.N0 - 1
        val = self.ident
        while True:
            if check(self.segfunc(val, self.data[l])):
                break
            if l & 1:
                val = self.segfunc(val, self.data[l])
                l += 1
            l >>= 1
        while l < self.N0:
            newval = self.segfunc(val, self.data[l * 2])
            if not check(newval):
                val = newval
                l = (l << 1) + 1
            else:
                l <<= 1
        return l - self.N0 + 1


N = int(input())
A_ori = list(map(int, input().split()))
B_ori = list(map(int, input().split()))

X = []
for a, b in zip(A_ori, B_ori):
    if a > b:
        a, b = b, a
    X.append((a, b, (a + b) // 2))
X.sort(key=lambda x: x[2])

A = []
B = []
AB = []
val = set()
for a, b, ab in X:
    A.append(a)
    B.append(b)
    AB.append(ab)
    val.add(a)
    val.add(b)
    val.add(ab)

ST_A_min = SparseTable(A, min)
ST_A_max = SparseTable(A, max)
ST_B_min = SegmentTree(B)
ST_B_max = SegmentTree(B, initialize=True, segfunc=max, ident=-2000000000)

prev = -1
ans = min(max(A) - min(A), max(B) - min(B))
for v in sorted(list(val)):
    i = bisect_left(AB, v)

    if i != 0:
        mi_B = ST_B_min.query(1, i + 1)
        ma_B = ST_B_max.query(1, i + 1)
        if mi_B < v:
            continue
    else:
        ma_B = -1
        mi_B = 10 ** 10

    ok = max(ma_B, AB[-1])
    ng = min(v, ma_B) - 1
    mid = (ok + ng) // 2
    while ok - ng > 1:
        r = bisect_left(AB, mid + 1)
        flg = 1
        if r != N:
            mi_A = ST_A_min.query(r+1, N+1)
            ma_A = ST_A_max.query(r+1, N+1)
            if mi_A < v or ma_A > mid:
                flg = 0
        if flg:
            ok = mid
        else:
            ng = mid
        mid = (ok + ng) // 2
    ans = min(ans, ok - v)

print(ans)
0