Automated Checking Machine

Time limit3sMemory limit256 MB

Summary

Check two five-point connectors and print Y only when each position pairs a plug with an outlet.

Level: Easy1 of 10
Topics: Implementation
Solved: No attempts yet

Problem

The Internet Computer Parts Company (ICPC) is an online shop that sells computer parts. One of its best sellers is a set of two in-line electrical connectors. Packaging mistakes send customers connectors that do not fit each other, so this set is also the part that gets returned the most.

An in-line connector has five connection points, labelled 1 to 5. Each connection point is either a plug or an outlet. Two connectors are compatible when, at every label, one connection point is a plug and the other is an outlet, so a plug meets an outlet everywhere the two connectors touch.

ICPC is installing an Automated Checking Machine (ACM) with an optical checker that verifies whether the two connectors packed for a customer really are compatible. The expensive hardware is finished and the software is still missing.

Given the description of a pair of in-line connectors, decide whether they are compatible.

Input

The first line contains five integers $X_1, X_2, \ldots, X_5$ separated by spaces, describing the connection points of the first connector. The second line contains five integers $Y_1, Y_2, \ldots, Y_5$ in the same format, describing the second connector. Every value satisfies $0 \le X_i \le 1$ and $0 \le Y_i \le 1$ , where 0 is an outlet and 1 is a plug.

Output

Print one line with the uppercase letter Y if the connectors are compatible, and the uppercase letter N otherwise.

Examples2

Example 1
Input
```
1 1 0 1 0
0 0 1 0 1
```
Expected output
```
Y
```
Example 2
Input
```
1 0 0 1 0
1 0 1 1 0
```
Expected output
```
N
```