Score : 600 points
There is a grid with N rows and N columns of squares. Let (i, j) be the square at the i-th row from the top and the j-th column from the left.
Each of the central (N-2) \times (N-2) squares in the grid has a black stone on it. Each of the 2N - 1 squares on the bottom side and the right side has a white stone on it.
Q queries are given. We ask you to process them in order. There are two kinds of queries. Their input format and description are as follows:
1 x
: Place a white stone on (1, x). After that, for each black stone between (1, x) and the first white stone you hit if you go down from (1, x), replace it with a white stone.2 x
: Place a white stone on (x, 1). After that, for each black stone between (x, 1) and the first white stone you hit if you go right from (x, 1), replace it with a white stone.How many black stones are there on the grid after processing all Q queries?
Input is given from Standard Input in the following format:
N Q Query_1 \vdots Query_Q
Print how many black stones there are on the grid after processing all Q queries.
5 5 1 3 2 3 1 4 2 2 1 2
1
After each query, the grid changes in the following way:
200000 0
39999200004
176527 15 1 81279 2 22308 2 133061 1 80744 2 44603 1 170938 2 139754 2 15220 1 172794 1 159290 2 156968 1 56426 2 77429 1 97459 2 71282
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