405059: GYM101755 L Queries on a String

A string s is given. Also there is a string p, and initially it is empty. You need to perform q operations of kind «add a letter to the end of the string p» and «remove a letter from the end of the string p», and after performing each operation you must say whether or not s contains p as a subsequence.

The first line contains the string s of length from 1 to 200000, consisting of lowercase Latin letters.

The second line contains a single integer q (1 ≤ q ≤ 200000) — the number of operations.

Each of the next q lines describes an operation in the format «push c», which means «add letter c to the end of the string p» (c is lowercase Latin letter), or «pop», which means «remove letter from the end of the string p». The «pop» operations is guaranteed never to be applied to the empty string p.

Output q lines, each of which equals «YES» or «NO», depending on whether or not the string p is contained in the string s as a subsequence after performing the corresponding operation.

abcabc
30
push a
pop
push a
push a
push a
pop
push c
push b
pop
pop
push b
push c
push c
pop
pop
pop
pop
push b
push c
push c
pop
push b
push c
pop
pop
push a
push b
push c
push a
pop

YES
YES
YES
YES
NO
YES
YES
NO
YES
YES
YES
YES
NO
YES
YES
YES
YES
YES
YES
YES
YES
YES
YES
YES
YES
YES
YES
YES
NO
YES