#abc206c. C - Swappable

C - Swappable

Score : 300300 points

问题描述

给定一个包含 NN 个整数的数组 A=(A1,A2,...,AN)A=(A_1,A_2,...,A_N),找出满足以下所有条件的整数对 (i,j)(i,j) 的数量:

  • 1i<jN1 \le i < j \le N
  • AiAjA_i \neq A_j

以上为通义千问 qwen-max 翻译,仅供参考。

Problem Statement

Given an array of NN integers A=(A1,A2,...,AN)A=(A_1,A_2,...,A_N), find the number of pairs (i,j)(i,j) of integers satisfying all of the following conditions:

  • 1i<jN1 \le i < j \le N
  • AiAjA_i \neq A_j

Constraints

  • All values in input are integers.
  • 2N3×1052 \le N \le 3 \times 10^5
  • 1Ai1091 \le A_i \le 10^9

Input

Input is given from Standard Input in the following format:

NN

A1A_1 A2A_2 \dots ANA_N

Output

Print the answer as an integer.

Sample Input 1

3
1 7 1

Sample Output 1

2

In this input, we have A=(1,7,1)A=(1,7,1).

  • For the pair (1,2)(1,2), A1A2A_1 \neq A_2.
  • For the pair (1,3)(1,3), A1=A3A_1 = A_3.
  • For the pair (2,3)(2,3), A2A3A_2 \neq A_3.

Sample Input 2

10
1 10 100 1000 10000 100000 1000000 10000000 100000000 1000000000

Sample Output 2

45

Sample Input 3

20
7 8 1 1 4 9 9 6 8 2 4 1 1 9 5 5 5 3 6 4

Sample Output 3

173

update @ 2024/3/10 09:19:21

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