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If you've seen these problems, a virtual contest is not for you - solve these problems in the archive.
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E. A Simple Task

time limit per test

5 secondsmemory limit per test

512 megabytesinput

standard inputoutput

standard outputThis task is very simple. Given a string *S* of length *n* and *q* queries each query is on the format *i* *j* *k* which means sort the substring consisting of the characters from *i* to *j* in non-decreasing order if *k* = 1 or in non-increasing order if *k* = 0.

Output the final string after applying the queries.

Input

The first line will contain two integers *n*, *q* (1 ≤ *n* ≤ 10^{5}, 0 ≤ *q* ≤ 50 000), the length of the string and the number of queries respectively.

Next line contains a string *S* itself. It contains only lowercase English letters.

Next *q* lines will contain three integers each *i*, *j*, *k* (1 ≤ *i* ≤ *j* ≤ *n*, ).

Output

Output one line, the string *S* after applying the queries.

Examples

Input

10 5

abacdabcda

7 10 0

5 8 1

1 4 0

3 6 0

7 10 1

Output

cbcaaaabdd

Input

10 1

agjucbvdfk

1 10 1

Output

abcdfgjkuv

Note

First sample test explanation:

Codeforces (c) Copyright 2010-2020 Mike Mirzayanov

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