CF675A.Infinite Sequence

普及-

通过率:0%

时间限制:1.00s

内存限制:256MB

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题目描述

Vasya likes everything infinite. Now he is studying the properties of a sequence s, such that its first element is equal to a (_s_1 = a), and the difference between any two neighbouring elements is equal to c (s__i - s__i - 1 = c). In particular, Vasya wonders if his favourite integer b appears in this sequence, that is, there exists a positive integer i, such that s__i = b. Of course, you are the person he asks for a help.

瓦西里喜欢一切无限的事物。现在他正在研究一个序列 ss 的性质,该序列的首项等于 aa(即 s1=as_1 = a),且任意相邻两项之差恒为 cc(即 si−si−1=cs_i - s_{i-1} = c)。特别地,瓦西里想知道他最喜爱的整数 bb 是否出现在这个序列中,即是否存在某个正整数 ii,使得 si=bs_i = b。当然,他向你寻求帮助。

输入格式

The first line of the input contain three integers a, b and c ( - 109 ≤ a, b, c ≤ 109) — the first element of the sequence, Vasya's favorite number and the difference between any two neighbouring elements of the sequence, respectively.

输入的第一行包含三个整数 aa、bb 和 cc(−109≤a,b,c≤109-10^9 \le a, b, c \le 10^9),分别表示该数列的首项、瓦夏最喜欢的数,以及该数列中任意两个相邻元素之间的差值。

输出格式

If b appears in the sequence s print "YES" (without quotes), otherwise print "NO" (without quotes).

如果 b 出现在序列 s 中,则输出 "YES"(不带引号),否则输出 "NO"(不带引号)。

输入输出样例

  • 输入#1

    1 7 3

    输出#1

    YES
  • 输入#2

    10 10 0

    输出#2

    YES
  • 输入#3

    1 -4 5

    输出#3

    NO
  • 输入#4

    0 60 50

    输出#4

    NO

说明/提示

In the first sample, the sequence starts from integers 1, 4, 7, so 7 is its element.

In the second sample, the favorite integer of Vasya is equal to the first element of the sequence.

In the third sample all elements of the sequence are greater than Vasya's favorite integer.

In the fourth sample, the sequence starts from 0, 50, 100, and all the following elements are greater than Vasya's favorite integer.

在第一个样例中,序列从整数 1、4、7 开始,因此 7 是该序列的一个元素。

在第二个样例中,Vasya 最喜欢的整数等于序列的第一个元素。

在第三个样例中,序列的所有元素均大于 Vasya 最喜欢的整数。

在第四个样例中,序列从 0、50、100 开始,且其后所有元素均大于 Vasya 最喜欢的整数。

输入解题思路,AI测评打分。不知道怎么写?

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