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On another boring day, Egor got bored and decided to do something. But since he has no friends, he came up with a game to play.
Egor has a deck of $n$ cards, the $i$-th card from the top has a number $a_i$ written on it. Egor wants to play a certain number of rounds until the cards run out. In each round, he takes a non-zero number of cards from the top of the deck and finishes the round. If the sum of the numbers on the cards collected during the round is between $l$ and $r$, inclusive, the round is won; otherwise, it is lost.
Egor knows by heart the order of the cards. Help Egor determine the maximum number of rounds he can win in such a game. Note that Egor is not required to win rounds consecutively.
Each test consists of several test cases. The first line contains an integer $t$ ($1 \le t \le 10^{4}$) — the number of test cases. This is followed by a description of the test cases.
The first line of each test case contains three integers $n$, $l$, and $r$ ($1 \le n \le 10^{5}$, $1 \le l \le r \le 10^9$).
The second line of each test case contains $n$ integers $a_1, a_2, \ldots, a_n$ ($1 \le a_i \le 10^9$) — the numbers on the cards from top to bottom.
It is guaranteed that the sum of $n$ for all test cases does not exceed $2 \cdot 10^{5}$.
For each test case, output a single number — the maximum number of rounds Egor can win.
In the first test case, Egor can win $3$ rounds:
* In the first round, take the top $2$ cards with values $2$ and $1$ and win, as their sum is $3$. After this, the deck will look like this: $[11, 3, 7]$. * In the second round, take the top card and lose, as its value $11$ is greater than $r = 10$. After this, the deck will look like this: $[3, 7]$. * In the third round, take the top card with value $3$ and win. After this, the deck will look like this: $[7]$. * After this, in the fourth round, Egor only has to take the last card in the deck with value $7$ and win again.
In the second test case, Egor cannot win any rounds, no matter how hard he tries.
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