012 Inversion

题目描述

You are given a sequence $A=(A_1,\ldots,A_N)$ of length $N$. Each element is $0$, $1$, or $2$.
Process $Q$ queries in order. Each query is of one of the following kinds:

$1 L R$: print the inversion number of the sequence $(A_L,\ldots,A_R)$. $2 L R S T U$: for each $i$ such that $L\leq i \leq R$, if $A_i$ is $0$, replace it with $S$; if $A_i$ is $1$, replace it with $T$; if $A_i$ is $2$, replace it with $U$.

输入格式

Input is given from Standard Input in the following format: $N$ $Q$ $A_1$ $A_2$ $\ldots$ $A_N$ $\rm Query_1$ $\rm Query_2$ $\vdots$ $\rm Query_Q$

$\rm Query_i$ denotes the $i$-th query, which is in one of the following formats: $1$ $L$ $R$

$2$ $L$ $R$ $S$ $T$ $U$

输出格式

Print the responses to the queries of the first kind in the given order, separated by newlines.

5 3
2 0 2 1 0
1 2 5
2 2 4 2 1 0
1 2 5

3
4

3 3
0 1 2
1 1 1
2 1 3 0 0 0
1 1 3

0
0

提示

$1 \leq N \leq 10^5$ $0 \leq A_i \leq 2$ $1\leq Q\leq 10^5$ In each query, $1\leq L \leq R \leq N$. In each query of the second kind, $0\leq S,T,U \leq 2$. All values in input are integers.Initially, $A=(2,0,2,1,0)$。

In the $1$-st query, print the inversion number $3$ of $(A_2,A_3,A_4,A_5)=(0,2,1,0)$。 The $2$-nd query makes $A=(2,2,0,1,0)$。 In the $3$-rd query, print the inversion number $4$ of $(A_2,A_3,A_4,A_5)=(2,0,1,0)$.

标签: AtCoder|abc265G

来源

AtCoder|abc265G