[Solution] Paranoid String Codeforces Solution | Codeforces Problem Solution 2022

[Solution] Paranoid String Codeforces Solution | Codeforces Problem Solution 2022

B. Paranoid String

time limit per test

1 second

memory limit per test

256 megabytes

input

standard input

output

standard output

Let's call a binary string T$T$ of length m$m$ indexed from 1$1$ to m$m$ paranoid if we can obtain a string of length 1$1$ by performing the following two kinds of operations m−1$m-1$ times in any order :

• Select any substring of T$T$ that is equal to 01, and then replace it with 1.
• Select any substring of T$T$ that is equal to 10, and then replace it with 0.

  For example, if T=$T=$ 001, we can select the substring [T2T3]$[T_2{T}_3]$ and perform the first operation. So we obtain T=$T=$ 01.

You are given a binary string S$S$ of length n$n$ indexed from 1$1$ to n$n$. Find the number of pairs of

Solution Click Below:-  CLICK HERE

 integers (l,r)$(l,r)$ 1≤l≤r≤n$1\le l\le r\le n$ such that S[l…r]$S[l\dots r]$ (the substring of S$S$ from l$l$ to r$r$) is a paranoid string.

Input

The first line contains an integer t$t$ (1≤t≤1000$1\le t\le 1000$) — the number of test cases. The description of test cases follows.

The first line of each test case contains a single integer n$n$ (1≤n≤2⋅105$1\le n\le 2\cdot {10}^5$) — the size of S$S$.

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The second line of each test case contains a binary string S$S$ of n$n$ characters S1S2…Sn$S_1{S}_2\dots S_n$. (Si=$S_i=$ 0 or Si=$S_i=$ 1 for each 1≤i≤n$1\le i\le n$)

It is guaranteed that the sum of n$n$ over all test cases doesn't exceed 2⋅105$2\cdot {10}^5$.

Output

For each test case, output the number of pairs of integers (l,r)$(l,r)$ 1≤l≤r≤n$1\le l\le r\le n$ such that S[l…r]$S[l\dots r]$ (the substring of S$S$ from l$l$ to r$r$) is a paranoid string.