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22790_PolynomialEstimates

2022-5-16 18:22| 发布者: Hocassian| 查看: 18| 评论: 0|原作者: 肇庆学院ACM合集

摘要:

C:\Users\Administrator\Downloads\2019-10-12-10-14-5-89506960858700-Problem List-采集的数据-后羿采集器.html

Pro.ID

22790

Title

Polynomial Estimates

Title链接

http://10.20.2.8/oj/exercise/problem?problem_id=22790

AC

Submit

Ratio

60.00%

时间&空间限制

Time Limit: 1000/500 MS (Java/Others) Memory Limit: 65536/65536 K (Java/Others)

描述

The number of spectators at the FIFA World Cup increases year after year. As you sell the advertisement slots during the games for the coming years, you need to come up with the price a company has to pay in order to get an advertisement slot. For this, you need a good estimate for the number of spectators in the coming games, based on the number of spectators in the past games.

Your intuition tells you that maybe the number of spectators could be modeled precisely by a polynomial of degree at most 3. The task is to check if this intuition is true.

输入

The input starts with a positive integer N, the number of test cases. Each test case consists of one line. The line starts with an integer 1 ≤ n ≤ 500, followed by n integers x₁, … , x_n with 0 ≤ x_i ≤ 50000000 for all i, the number of spectators in past games.

输出

Description

Your intuition tells you that maybe the number of spectators could be modeled precisely by a polynomial of degree at most 3. The task is to check if this intuition is true.

Input

Output

For each test case, print "YES" if there is a polynomial p (with real coefficients) of degree at most 3 such that p(i) = x_i for all i. Otherwise, print "NO".

Sample Input

3
1 3
5 0 1 2 3 4
5 0 1 2 4 5

Sample Output

YES
YES
NO

Source

GCPC 2010