CF1215B.The Number of Products

普及/提高-

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题目描述

You are given a sequence a1,a2,,ana_1, a_2, \dots, a_n consisting of nn non-zero integers (i.e. ai0a_i \ne 0 ).

You have to calculate two following values:

  1. the number of pairs of indices (l,r)(l, r) (lr)(l \le r) such that alal+1ar1ara_l \cdot a_{l + 1} \dots a_{r - 1} \cdot a_r is negative;
  2. the number of pairs of indices (l,r)(l, r) (lr)(l \le r) such that alal+1ar1ara_l \cdot a_{l + 1} \dots a_{r - 1} \cdot a_r is positive;

输入格式

The first line contains one integer nn (1n2105)(1 \le n \le 2 \cdot 10^{5}) — the number of elements in the sequence.

The second line contains nn integers a1,a2,,ana_1, a_2, \dots, a_n (109ai109;ai0)(-10^{9} \le a_i \le 10^{9}; a_i \neq 0) — the elements of the sequence.

输出格式

Print two integers — the number of subsegments with negative product and the number of subsegments with positive product, respectively.

输入输出样例

  • 输入#1

    5
    5 -3 3 -1 1
    

    输出#1

    8 7
    
  • 输入#2

    10
    4 2 -4 3 1 2 -4 3 2 3
    

    输出#2

    28 27
    
  • 输入#3

    5
    -1 -2 -3 -4 -5
    

    输出#3

    9 6
    
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