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E. A Simple Task
time limit per test
5 seconds
memory limit per test
512 megabytes
input
standard input
output
standard output

This 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 ≤ 105, 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: