#K71682. Seesaw Balancing

    ID: 33586 Type: Default 1000ms 256MiB

Seesaw Balancing

Seesaw Balancing

A seesaw is considered balanced if and only if the moment on the left side equals the moment on the right side. For a seesaw with N positions, the left moment is calculated as follows:

\(\text{Left Moment}=\sum_{i=1}^{N} w_{L_i} \times i\)

and the right moment is computed as:

\(\text{Right Moment}=\sum_{i=1}^{N} w_{R_i} \times i\)

For each test case, if the left and right moments are equal, output YES; otherwise, output NO.

inputFormat

The first line contains an integer T representing the number of test cases. Each test case consists of three lines:

  1. An integer N denoting the number of positions on the seesaw.
  2. N space-separated integers representing the weights on the left side.
  3. N space-separated integers representing the weights on the right side.

outputFormat

For each test case, output a single line containing YES if the seesaw is balanced, or NO otherwise.

## sample
3
2
4 5
3 12
2
4 9
2 6
4
5 6 4 3
9 2 7 3
NO

NO NO

</p>