結果

問題 No.1036 Make One With GCD 2
ユーザー tktk_snsntktk_snsn
提出日時 2020-12-22 20:00:49
言語 PyPy3
(7.3.15)
結果
AC  
実行時間 1,152 ms / 2,000 ms
コード長 8,759 bytes
コンパイル時間 1,307 ms
コンパイル使用メモリ 86,804 KB
実行使用メモリ 185,720 KB
最終ジャッジ日時 2023-10-14 20:41:36
合計ジャッジ時間 23,173 ms
ジャッジサーバーID
（参考情報） 		judge15 / judge13
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 1,152 ms
184,072 KB
testcase_01 AC 303 ms
169,052 KB
testcase_02 AC 571 ms
146,184 KB
testcase_03 AC 132 ms
104,848 KB
testcase_04 AC 165 ms
120,168 KB
testcase_05 AC 65 ms
71,124 KB
testcase_06 AC 66 ms
70,884 KB
testcase_07 AC 187 ms
112,768 KB
testcase_08 AC 166 ms
105,968 KB
testcase_09 AC 470 ms
167,984 KB
testcase_10 AC 469 ms
158,024 KB
testcase_11 AC 487 ms
168,420 KB
testcase_12 AC 473 ms
158,324 KB
testcase_13 AC 670 ms
175,404 KB
testcase_14 AC 698 ms
183,968 KB
testcase_15 AC 651 ms
172,788 KB
testcase_16 AC 645 ms
172,844 KB
testcase_17 AC 651 ms
174,984 KB
testcase_18 AC 83 ms
76,360 KB
testcase_19 AC 93 ms
76,388 KB
testcase_20 AC 95 ms
77,264 KB
testcase_21 AC 97 ms
77,028 KB
testcase_22 AC 642 ms
172,728 KB
testcase_23 AC 503 ms
141,704 KB
testcase_24 AC 664 ms
174,796 KB
testcase_25 AC 615 ms
162,716 KB
testcase_26 AC 641 ms
171,892 KB
testcase_27 AC 67 ms
71,096 KB
testcase_28 AC 69 ms
71,116 KB
testcase_29 AC 69 ms
71,148 KB
testcase_30 AC 67 ms
70,968 KB
testcase_31 AC 68 ms
70,940 KB
testcase_32 AC 68 ms
71,168 KB
testcase_33 AC 66 ms
71,140 KB
testcase_34 AC 70 ms
70,976 KB
testcase_35 AC 68 ms
70,960 KB
testcase_36 AC 66 ms
71,092 KB
testcase_37 AC 67 ms
71,064 KB
testcase_38 AC 758 ms
185,548 KB
testcase_39 AC 885 ms
185,416 KB
testcase_40 AC 494 ms
141,680 KB
testcase_41 AC 791 ms
185,652 KB
testcase_42 AC 776 ms
185,548 KB
testcase_43 AC 854 ms
185,392 KB
testcase_44 AC 891 ms
185,720 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 # 

from math import gcd
import sys
input = sys.stdin.buffer.readline
sys.setrecursionlimit(10 ** 7)


class SegTree(object):
    def __init__(self, N, op_data, u_data):
        self._n = N
        self.log = (N-1).bit_length()
        self.size = 1 << self.log

        self.op = op_data
        self.e = u_data

        self.data = [u_data] * (2 * self.size)
        # self.len = [1] * (2 * self.size)

    def _update(self, i):
        self.data[i] = self.op(self.data[i << 1], self.data[i << 1 | 1])

    def initialize(self, arr):
        """ segtreeをarrで初期化する。len(arr) == Nにすること """
        for i, a in enumerate(arr, self.size):
            self.data[i] = a
        for i in reversed(range(1, self.size)):
            self._update(i)
            # self.len[i] = self.len[i << 1] + self.len[i << 1 | 1]

    def update(self, p, x):
        """ data[p] = x とする (0-indexed)"""
        p += self.size
        self.data[p] = x
        for i in range(1, self.log + 1):
            self._update(p >> i)

    def get(self, p):
        """ data[p]を返す """
        return self.data[p + self.size]

    def prod(self, l, r):
        """
        op_data(data[l], data[l+1], ..., data[r-1])を返す (0-indexed)
        """
        sml = self.e
        smr = self.e
        l += self.size
        r += self.size

        while l < r:
            if l & 1:
                sml = self.op(sml, self.data[l])
                l += 1
            if r & 1:
                r -= 1
                smr = self.op(self.data[r], smr)
            l >>= 1
            r >>= 1
        return self.op(sml, smr)

    def all_prod(self):
        """ op(data[0], data[1], ... data[N-1])を返す """
        return self.data[1]

    def max_right(self, l, func):
        """
        func(l, l+1, ..., r-1) = True,
        func(l, l+1, ..., r-1, r) = Falseとなる r を返す
        """
        if l == self._n:
            return self._n
        l += self.size
        sm = self.e
        while True:
            while l % 2 == 0:
                l >>= 1
            if not func(self.op(sm, self.data[l])):
                while l < self.size:
                    l <<= 1
                    if func(self.op(sm, self.data[l])):
                        sm = self.op(sm, self.data[l])
                        l += 1
                return l - self.size
            sm = self.op(sm, self.data[l])
            l += 1
            if (l & -l) == l:
                break
        return self._n

    def min_left(self, r, func):
        """
        func(     l, l+1, ..., r-1) = True,
        func(l-1, l, l+1, ..., r-1) = Falseとなる l を返す
        """
        if r == 0:
            return 0
        r += self.size
        sm = self.e
        while True:
            r -= 1
            while r > 1 and r & 1:
                r >>= 1
            if not func(self.op(self.data[r], sm)):
                while r < self.size:
                    r = r << 1 | 1
                    if func(self.op(self.data[r], sm)):
                        sm = self.op(self.data[r], sm)
                        r -= 1
                return r + 1 - self.size
            sm = self.op(self.data[r], sm)
            if (r & -r) == r:
                break
        return 0


class LazySegTree(SegTree):
    def __init__(self, N, op_data, u_data, op_lazy, u_lazy, op_merge):
        super().__init__(N, op_data, u_data)
        self.composition = op_lazy
        self.mapping = op_merge
        self.id = u_lazy

        self.lazy = [u_lazy] * self.size

    def _all_apply(self, i, F):
        # self.data[i] = self.mapping(F, self.data[i], self.len[i])
        self.data[i] = self.mapping(F, self.data[i])
        if i < self.size:
            self.lazy[i] = self.composition(F, self.lazy[i])

    def _push(self, i):
        self._all_apply(i << 1, self.lazy[i])
        self._all_apply(i << 1 | 1, self.lazy[i])
        self.lazy[i] = self.id

    def update(self, p, x):
        """ data[p] = x とする (0-indexed)"""
        p += self.size
        for i in reversed(range(1, self.log + 1)):
            self._push(p >> i)
        self.data[p] = x
        for i in range(1, self.log + 1):
            self._update(p >> i)

    def apply(self, p, F):
        """ data[p]にFを作用させる(data[p] = op_merge(F, data[p])とする, 0-indexed) """
        p += self.size
        for i in reversed(range(1, self.log + 1)):
            self._push(p >> i)
        # self.data[p] = self.mapping(F, self.data[p], self.len[p])
        self.data[p] = self.mapping(F, self.data[p])
        for i in range(1, self.log + 1):
            self._update(p >> i)

    def range_apply(self, l, r, F):
        """ i = l, l+1, ..., r-1 について、Fを作用させる(op_merge(F, data[i]), 0-indexed) """
        if l == r:
            return

        l += self.size
        r += self.size
        for i in reversed(range(1, self.log + 1)):  # too->down
            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(l >> i)
            if ((r >> i) << i) != r:
                self._update((r - 1) >> i)

    def get(self, p):
        """ data[p]を返す """
        p += self.size
        for i in reversed(range(1, self.log + 1)):
            self._push(p >> i)
        return self.data[p]

    def prod(self, l, r):
        """
        op_data(data[l], data[l+1], ..., data[r-1])を返す (0-indexed)
        l == rの時は単位元u_dataを返す
        """
        if l == r:
            return self.e

        l += self.size
        r += self.size
        for i in reversed(range(1, self.log + 1)):
            if ((l >> i) << i) != l:
                self._push(l >> i)
            if ((r >> i) << i) != r:
                self._push(r >> i)

        sml = self.e
        smr = self.e
        while l < r:
            if l & 1:
                sml = self.op(sml, self.data[l])
                l += 1
            if r & 1:
                r -= 1
                smr = self.op(self.data[r], smr)
            l >>= 1
            r >>= 1
        return self.op(sml, smr)

    def max_right(self, l, func):
        """
        func(l, l+1, ..., r-1) = True,
        func(l, l+1, ..., r-1, r) = Falseとなる r を返す
        """
        if l == self._n:
            return self._n
        l += self.size
        for i in reversed(range(1, self.log + 1)):
            self._push(l >> i)

        sm = self.e
        while True:
            while l % 2 == 0:
                l >>= 1
            if not func(self.op(sm, self.data[[l]])):
                while l < self.size:
                    self._push(l)
                    l <<= 1
                    if func(self.op(sm, self.data[l])):
                        sm = self.op(sm, self.data[l])
                        l += 1
                return l - self.size
            sm = self.op(sm, self.data[l])
            l += 1
            if (l & -l) == l:
                break
        return self._n

    def min_left(self, r, func):
        """
        func(     l, l+1, ..., r-1) = True,
        func(l-1, l, l+1, ..., r-1) = Falseとなる l を返す
        """
        if r == 0:
            return 0
        r += self.size
        for i in reversed(range(1, self.log + 1)):
            self._push((r - 1) >> i)
        sm = self.e
        while True:
            r -= 1
            while r > 1 and r & 1:
                r >>= 1
            if not func(self.op(self.data[r], sm)):
                while r < self.size:
                    self._push(r)
                    r = r << 1 | 1
                    if func(self.op(self.data[r], sm)):
                        sm = self.op(self.data[r], sm)
                        r -= 1
                return r + 1 - self.size
            sm = self.op(self.data[r], sm)
            if (r & -r) == r:
                break
        return 0
    """
    遅延セグ木(ac-library移植)
    op_data(d_L, d_R) : d_Lとd_Rの二項演算, dataを返す
    op_lazy(lz_new, lz_orig) : lz_origにlz_newを作用させる, lazyを返す
    op_merge(lz, d) : dにlzを作用させる, dataを返す
    """


N = int(input())
A = list(map(int, input().split()))

seg = SegTree(N, gcd, 0)
seg.initialize(A)

ans = 0
for L in range(N):
    R = seg.max_right(L, lambda x: x != 1)
    ans += N - R

print(ans)
0