Preparando MOJI
Vasya has a sequence $$$a$$$ consisting of $$$n$$$ integers $$$a_1, a_2, \dots, a_n$$$. Vasya may pefrom the following operation: choose some number from the sequence and swap any pair of bits in its binary representation. For example, Vasya can transform number $$$6$$$ $$$(\dots 00000000110_2)$$$ into $$$3$$$ $$$(\dots 00000000011_2)$$$, $$$12$$$ $$$(\dots 000000001100_2)$$$, $$$1026$$$ $$$(\dots 10000000010_2)$$$ and many others. Vasya can use this operation any (possibly zero) number of times on any number from the sequence.
Vasya names a sequence as good one, if, using operation mentioned above, he can obtain the sequence with bitwise exclusive or of all elements equal to $$$0$$$.
For the given sequence $$$a_1, a_2, \ldots, a_n$$$ Vasya'd like to calculate number of integer pairs $$$(l, r)$$$ such that $$$1 \le l \le r \le n$$$ and sequence $$$a_l, a_{l + 1}, \dots, a_r$$$ is good.
The first line contains a single integer $$$n$$$ ($$$1 \le n \le 3 \cdot 10^5$$$) — length of the sequence.
The second line contains $$$n$$$ integers $$$a_1, a_2, \dots, a_n$$$ ($$$1 \le a_i \le 10^{18}$$$) — the sequence $$$a$$$.
Print one integer — the number of pairs $$$(l, r)$$$ such that $$$1 \le l \le r \le n$$$ and the sequence $$$a_l, a_{l + 1}, \dots, a_r$$$ is good.
3
6 7 14
2
4
1 2 1 16
4
In the first example pairs $$$(2, 3)$$$ and $$$(1, 3)$$$ are valid. Pair $$$(2, 3)$$$ is valid since $$$a_2 = 7 \rightarrow 11$$$, $$$a_3 = 14 \rightarrow 11$$$ and $$$11 \oplus 11 = 0$$$, where $$$\oplus$$$ — bitwise exclusive or. Pair $$$(1, 3)$$$ is valid since $$$a_1 = 6 \rightarrow 3$$$, $$$a_2 = 7 \rightarrow 13$$$, $$$a_3 = 14 \rightarrow 14$$$ and $$$3 \oplus 13 \oplus 14 = 0$$$.
In the second example pairs $$$(1, 2)$$$, $$$(2, 3)$$$, $$$(3, 4)$$$ and $$$(1, 4)$$$ are valid.
Informação
Provedor Codeforces
Código CF1030E
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Submetido 0
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Datas 09/05/2023 09:38:05
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