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A. String Reconstruction

time limit per test

2 secondsmemory limit per test

256 megabytesinput

standard inputoutput

standard outputIvan had string *s* consisting of small English letters. However, his friend Julia decided to make fun of him and hid the string *s*. Ivan preferred making a new string to finding the old one.

Ivan knows some information about the string *s*. Namely, he remembers, that string *t*_{i} occurs in string *s* at least *k*_{i} times or more, he also remembers exactly *k*_{i} positions where the string *t*_{i} occurs in string *s*: these positions are *x*_{i, 1}, *x*_{i, 2}, ..., *x*_{i, ki}. He remembers *n* such strings *t*_{i}.

You are to reconstruct lexicographically minimal string *s* such that it fits all the information Ivan remembers. Strings *t*_{i} and string *s* consist of small English letters only.

Input

The first line contains single integer *n* (1 ≤ *n* ≤ 10^{5}) — the number of strings Ivan remembers.

The next *n* lines contain information about the strings. The *i*-th of these lines contains non-empty string *t*_{i}, then positive integer *k*_{i}, which equal to the number of times the string *t*_{i} occurs in string *s*, and then *k*_{i} distinct positive integers *x*_{i, 1}, *x*_{i, 2}, ..., *x*_{i, ki} in increasing order — positions, in which occurrences of the string *t*_{i} in the string *s* start. It is guaranteed that the sum of lengths of strings *t*_{i} doesn't exceed 10^{6}, 1 ≤ *x*_{i, j} ≤ 10^{6}, 1 ≤ *k*_{i} ≤ 10^{6}, and the sum of all *k*_{i} doesn't exceed 10^{6}. The strings *t*_{i} can coincide.

It is guaranteed that the input data is not self-contradictory, and thus at least one answer always exists.

Output

Print lexicographically minimal string that fits all the information Ivan remembers.

Examples

Input

3

a 4 1 3 5 7

ab 2 1 5

ca 1 4

Output

abacaba

Input

1

a 1 3

Output

aaa

Input

3

ab 1 1

aba 1 3

ab 2 3 5

Output

ababab

Codeforces (c) Copyright 2010-2019 Mike Mirzayanov

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