D - All Assign Point Add

Score : 400400 points

Problem Statement

You are given a sequence A = (A_1, A_2, \dots, A_N)A=(A1​,A2​,…,AN​) of length NN.

Given QQ queries, process all of them in order. The qq-th (1\leq q\leq Q)(1≤q≤Q) query is in one of the following three formats, which represents the following queries:

• 1\ x _ q1 xq​: assign x_qxq​ to every element of AA.
• 2\ i _ q\ x _ q2 iq​ xq​: add x_qxq​ to A _ {i _ q}Aiq​​.
• 3\ i _ q3 iq​: print the value of A _ {i _ q}Aiq​​.

Constraints

• 1 \leq N \leq 2\times10^51≤N≤2×105
• 1 \leq Q \leq 2\times10^51≤Q≤2×105
• 0 \leq A _ i \leq 10^9\ (1\leq i\leq N)0≤Ai​≤109 (1≤i≤N)
• If the qq-th (1\leq q\leq Q)(1≤q≤Q) query is in the second or third format, 1 \leq i _ q \leq N1≤iq​≤N.
• If the qq-th (1\leq q\leq Q)(1≤q≤Q) query is in the first or second format, 0 \leq x _ q \leq 10^90≤xq​≤109.
• There exists a query in the third format.
• All values in the input are integers.

Input

The input is given from Standard Input in the following format:

NN
A_1A1​ A_2A2​ \dots… A_NAN​
QQ
\operatorname{query}_1query1​
\operatorname{query}_2query2​
\vdots⋮
\operatorname{query}_QqueryQ​

Here, \operatorname{query}_qqueryq​ denotes the qq-th query, which is in one of following formats: 1 x, 2 i x, and 3 i.

Output

Print XX lines, where XX is the number of qq's (1\leq q\leq Q)(1≤q≤Q) such that \operatorname{query}_qqueryq​ is in the third format. The jj-th (1\leq j\leq X)(1≤j≤X) line should contain the answer to the jj-th such query.

Sample Input 1 Copy

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5
3 1 4 1 5
6
3 2
2 3 4
3 3
1 1
2 3 4
3 3

Sample Output 1 Copy

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1
8
5

Initially, A=(3,1,4,1,5)A=(3,1,4,1,5). The queries are processed as follows:

• A_2=1A2​=1, so print 11.
• Add 44 to A_3A3​, making A=(3,1,8,1,5)A=(3,1,8,1,5).
• A_3=8A3​=8, so print 88.
• Assign 11 to every element of AA, making A=(1,1,1,1,1)A=(1,1,1,1,1).
• Add 44 to A_3A3​, making A=(1,1,5,1,1)A=(1,1,5,1,1).
• A_3=5A3​=5, so print 55.

Sample Input 2 Copy

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1
1000000000
8
2 1 1000000000
2 1 1000000000
2 1 1000000000
2 1 1000000000
2 1 1000000000
2 1 1000000000
2 1 1000000000
3 1

Sample Output 2 Copy

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8000000000

Note that the elements of AA may not fit into a 3232-bit integer type.

Sample Input 3 Copy

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10
1 8 4 15 7 5 7 5 8 0
20
2 7 0
3 7
3 8
1 7
3 3
2 4 4
2 4 9
2 10 5
1 10
2 4 2
1 10
2 3 1
2 8 11
2 3 14
2 1 9
3 8
3 8
3 1
2 6 5
3 7

Sample Output 3 Copy

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7
5
7
21
21
19
10

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