#596618 (PyPy3) No.1036 Make One With GCD 2

• 問題: No.1036 Make One With GCD 2
• ユーザー: tktk_snsn
• 提出日時: 2020-12-22 20:00:49
• 言語: PyPy3 (7.3.15)
• 結果: AC
• 実行時間: 1,207 ms / 2,000 ms
• コード長: 8,759 bytes
• コンパイル時間: 476 ms
• コンパイル使用メモリ: 82,304 KB
• 実行使用メモリ: 183,168 KB
• 最終ジャッジ日時: 2024-09-16 14:32:29
• 合計ジャッジ時間: 23,669 ms
• ジャッジサーバーID （参考情報）: judge3 / judge5

ファイルパターン	結果
sample	AC * 4
other	AC * 41

ソースコード

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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)
 
 
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