Codeforces Round #416 (Div. 2) has been moved to start on 27.05.2017 09:35 (UTC).
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B. Sail

time limit per test

1 secondmemory limit per test

256 megabytesinput

standard inputoutput

standard outputThe polar bears are going fishing. They plan to sail from (*s*_{x}, *s*_{y}) to (*e*_{x}, *e*_{y}). However, the boat can only sail by wind. At each second, the wind blows in one of these directions: east, south, west or north. Assume the boat is currently at (*x*, *y*).

- If the wind blows to the east, the boat will move to (
*x*+ 1,*y*). - If the wind blows to the south, the boat will move to (
*x*,*y*- 1). - If the wind blows to the west, the boat will move to (
*x*- 1,*y*). - If the wind blows to the north, the boat will move to (
*x*,*y*+ 1).

Alternatively, they can hold the boat by the anchor. In this case, the boat stays at (*x*, *y*). Given the wind direction for *t* seconds, what is the earliest time they sail to (*e*_{x}, *e*_{y})?

Input

The first line contains five integers *t*, *s*_{x}, *s*_{y}, *e*_{x}, *e*_{y} (1 ≤ *t* ≤ 10^{5}, - 10^{9} ≤ *s*_{x}, *s*_{y}, *e*_{x}, *e*_{y} ≤ 10^{9}). The starting location and the ending location will be different.

The second line contains *t* characters, the *i*-th character is the wind blowing direction at the *i*-th second. It will be one of the four possibilities: "E" (east), "S" (south), "W" (west) and "N" (north).

Output

If they can reach (*e*_{x}, *e*_{y}) within *t* seconds, print the earliest time they can achieve it. Otherwise, print "-1" (without quotes).

Examples

Input

5 0 0 1 1

SESNW

Output

4

Input

10 5 3 3 6

NENSWESNEE

Output

-1

Note

In the first sample, they can stay at seconds 1, 3, and move at seconds 2, 4.

In the second sample, they cannot sail to the destination.

Codeforces (c) Copyright 2010-2017 Mike Mirzayanov

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