Problem:
Score : 500 points

Problem Statement

You are given a string S of length N consisting of lowercase English letters.

Process Q queries of the following two types:

Type 1: change the i_q-th character of S to c_q. (Do nothing if the i_q-th character is already c_q.)

Type 2: answer the number of different characters occurring in the substring of S between the l_q-th and r_q-th characters (inclusive).

Constraints

N, Q, i_q, l_q, and r_q are integers.

S is a string consisting of lowercase English letters.

c_q is a lowercase English letter.

1 \leq N \leq 500000

1 \leq Q \leq 20000

|S| = N

1 \leq i_q \leq N

1 \leq l_q \leq r_q \leq N

There is at least one query of type 2 in each testcase.

Input

Input is given from Standard Input in the following format:

N
S
Q
Query_1
\vdots
Query_Q

Here, Query_i in the 4-th through (Q+3)-th lines is one of the following:

1 i_q c_q

2 l_q r_q

Output

For each query of type 2, print a line containing the answer.

Sample Input 1

7
abcdbbd
6
2 3 6
1 5 z
2 1 1
1 4 a
1 7 d
2 1 7

Sample Output 1

3
1
5

In the first query, cdbb contains three kinds of letters: b , c , and d, so we print 3.

In the second query, S is modified to abcdzbd.

In the third query, a contains one kind of letter: a, so we print 1.

In the fourth query, S is modified to abcazbd.

In the fifth query, S does not change and is still abcazbd.

In the sixth query, abcazbd contains five kinds of letters: a, b, c, d, and z, so we print 5.

Solution in Python (3.4.3) (judge verdict: Time Limit Exceeded)

#!python3

import sys

from bisect import bisect, insort_left

iim = lambda: map(int, input().rstrip().split())

def resolve():
    N = int(input())
    S = list(input())
    Q = int(input())

    c0 = ord('a')
    S1 = [[] for i in range(26)]
    for i, c1 in enumerate(S):
        ci = ord(c1) - c0
        S1[ci].append(i)

    ans = []
    for cmd, i, j in (line.split() for line in sys.stdin):
        i = int(i) - 1
        if cmd == "1":
            c1 = ord(S[i]) - c0
            s1 = S1[c1]
            s1.remove(i)
            S[i] = j
            c1 = ord(j) - c0
            insort_left(S1[c1], i)
        elif cmd == "2":
            j = int(j) - 1
            num = 0

            for s1 in S1:
                ls = len(s1)
                k = bisect(s1, i-1, 0, ls)

                if k == ls:
                    continue
                if i <= s1[k] <= j:
                    num += 1

            ans.append(num)

    print(*ans, sep="\n")

if __name__ == "__main__":
    resolve()