CF1539A.Contest Start

There are $n$ people participating in some contest, they start participating in $x$ minutes intervals. That means the first participant starts at time $0$, the second participant starts at time $x$, the third — at time $2 \cdot x$, and so on.

Duration of contest is $t$ minutes for each participant, so the first participant finishes the contest at time $t$, the second — at time $t + x$, and so on. When a participant finishes the contest, their dissatisfaction equals to the number of participants that started the contest (or starting it now), but haven't yet finished it.

Determine the sum of dissatisfaction of all participants.

有 $n$ 个人参加某项比赛，他们以每 $x$ 分钟一人的间隔开始参赛。也就是说，第一位参赛者在时刻 $0$ 开始，第二位在时刻 $x$ 开始，第三位在时刻 $2 \cdot x$ 开始，依此类推。

每位参赛者的比赛时长均为 $t$ 分钟，因此第一位参赛者在时刻 $t$ 结束比赛，第二位在时刻 $t + x$ 结束，依此类推。当一位参赛者结束比赛时，其不满值（dissatisfaction）等于此时已开始比赛（或正开始比赛），但尚未结束比赛的参赛者人数。

请计算所有参赛者的不满值之和。

The first line contains a single integer $k$ ($1 \le k \le 1000$) — the number of test cases.

Each of the next $k$ lines contains three integers $n$, $x$, $t$ ($1 \le n, x, t \le 2 \cdot 10^9$) — the number of participants, the start interval and the contest duration.

第一行包含一个整数 $k$（$1 \le k \le 1000$）—— 测试用例的数量。

接下来的 $k$ 行中，每行包含三个整数 $n$、$x$、$t$（$1 \le n, x, t \le 2 \cdot 10^9$）—— 分别表示参赛人数、起始时间间隔和比赛持续时间。

Print $k$ lines, in the $i$-th line print the total dissatisfaction of participants in the $i$-th test case.

输出 $k$ 行，第 $i$ 行输出第 $i$ 个测试用例中所有参赛者的总不满值。

In the first example the first participant starts at $0$ and finishes at time $5$. By that time the second and the third participants start, so the dissatisfaction of the first participant is $2$.

The second participant starts at time $2$ and finishes at time $7$. By that time the third the fourth participants start, so the dissatisfaction of the second participant is $2$.

The third participant starts at $4$ and finishes at $9$. By that time the fourth participant starts, so the dissatisfaction of the third participant is $1$.

The fourth participant starts at $6$ and finishes at $11$. By time $11$ everyone finishes the contest, so the dissatisfaction of the fourth participant is $0$.

In the second example the first participant starts at $0$ and finishes at time $2$. By that time the second participants starts, and the third starts at exactly time $2$. So the dissatisfaction of the first participant is $2$.

The second participant starts at time $1$ and finishes at time $3$. At that time the third participant is solving the contest.

在第一个例子中，第一位参赛者从时刻 $0$ 开始，于时刻 $5$ 结束。此时第二位和第三位参赛者均已开始比赛，因此第一位参赛者的不满值为 $2$。

第二位参赛者从时刻 $2$ 开始，于时刻 $7$ 结束。此时第三位和第四位参赛者均已开始比赛，因此第二位参赛者的不满值为 $2$。

第三位参赛者从时刻 $4$ 开始，于时刻 $9$ 结束。此时第四位参赛者已开始比赛，因此第三位参赛者的不满值为 $1$。

第四位参赛者从时刻 $6$ 开始，于时刻 $11$ 结束。到时刻 $11$ 时，所有参赛者均已结束比赛，因此第四位参赛者的不满值为 $0$。

在第二个例子中，第一位参赛者从时刻 $0$ 开始，于时刻 $2$ 结束。此时第二位参赛者已开始比赛，而第三位参赛者恰好于时刻 $2$ 开始比赛。因此第一位参赛者的不满值为 $2$。

第二位参赛者从时刻 $1$ 开始，于时刻 $3$ 结束。此时第三位参赛者正在比赛中。