CF1175F.The Number of Subpermutations

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题目描述

You have an array a1,a2,,ana_1, a_2, \dots, a_n .

Let's call some subarray al,al+1,,ara_l, a_{l + 1}, \dots , a_r of this array a subpermutation if it contains all integers from 11 to rl+1r-l+1 exactly once. For example, array a=[2,2,1,3,2,3,1]a = [2, 2, 1, 3, 2, 3, 1] contains 66 subarrays which are subpermutations: [a2a3][a_2 \dots a_3] , [a2a4][a_2 \dots a_4] , [a3a3][a_3 \dots a_3] , [a3a5][a_3 \dots a_5] , [a5a7][a_5 \dots a_7] , [a7a7][a_7 \dots a_7] .

You are asked to calculate the number of subpermutations.

输入格式

The first line contains one integer nn ( 1n31051 \le n \le 3 \cdot 10^5 ).

The second line contains nn integers a1,a2,,ana_1, a_2, \dots , a_n ( 1ain1 \le a_i \le n ).

This array can contain the same integers.

输出格式

Print the number of subpermutations of the array aa .

输入输出样例

  • 输入#1

    8
    2 4 1 3 4 2 1 2
    

    输出#1

    7
    
  • 输入#2

    5
    1 1 2 1 2
    

    输出#2

    6
    

说明/提示

There are 77 subpermutations in the first test case. Their segments of indices are [1,4][1, 4] , [3,3][3, 3] , [3,6][3, 6] , [4,7][4, 7] , [6,7][6, 7] , [7,7][7, 7] and [7,8][7, 8] .

In the second test case 66 subpermutations exist: [1,1][1, 1] , [2,2][2, 2] , [2,3][2, 3] , [3,4][3, 4] , [4,4][4, 4] and [4,5][4, 5] .

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