#K4291. Taco Box Fitting

    ID: 27192 Type: Default 1000ms 256MiB

Taco Box Fitting

Taco Box Fitting

You are given a sorting machine that can only accommodate boxes whose dimensions, when arranged in non-decreasing order, do not exceed the machine's limits.

Specifically, you are provided with a machine that has three maximum permitted dimensions W, L, and H. For each box, given by its three dimensions, you must sort its dimensions in ascending order. If the smallest dimension is at most W, the middle dimension is at most L, and the largest is at most H, then the box can fit through the machine; otherwise, it cannot.

The comparison is performed as follows. Let the sorted dimensions of a box be \(d_1 \le d_2 \le d_3\). The box can pass if and only if \(d_1 \le W\), \(d_2 \le L\), and \(d_3 \le H\).

Your task is to determine, for each box, whether it can pass through the machine.

inputFormat

The input is given from standard input (stdin) and has the following format:

T W L H
x11 x12 x13
x21 x22 x23
...
xT1 xT2 xT3

Where:

  • T is the number of boxes.
  • W, L, H are the maximum allowed dimensions for the smallest, middle, and largest dimensions respectively.
  • Each of the next T lines contains three integers representing the dimensions of a box.

outputFormat

For each box, output a single line with YES if the box fits in the machine and NO otherwise. The output should be printed to standard output (stdout).

## sample
3 5 10 8
4 5 6
10 5 4
11 5 10
YES

YES NO

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