Virtual contest is a way to take part in past contest, as close as possible to participation on time. It is supported only ICPC mode for virtual contests.
If you've seen these problems, a virtual contest is not for you - solve these problems in the archive.
If you just want to solve some problem from a contest, a virtual contest is not for you - solve this problem in the archive.
Never use someone else's code, read the tutorials or communicate with other person during a virtual contest.

No tag edit access

The problem statement has recently been changed. View the changes.

×
E. Anton and Permutation

time limit per test

4 secondsmemory limit per test

512 megabytesinput

standard inputoutput

standard outputAnton likes permutations, especially he likes to permute their elements. Note that a permutation of *n* elements is a sequence of numbers {*a*_{1}, *a*_{2}, ..., *a*_{n}}, in which every number from 1 to *n* appears exactly once.

One day Anton got a new permutation and started to play with it. He does the following operation *q* times: he takes two elements of the permutation and swaps these elements. After each operation he asks his friend Vanya, how many inversions there are in the new permutation. The number of inversions in a permutation is the number of distinct pairs (*i*, *j*) such that 1 ≤ *i* < *j* ≤ *n* and *a*_{i} > *a*_{j}.

Vanya is tired of answering Anton's silly questions. So he asked you to write a program that would answer these questions instead of him.

Initially Anton's permutation was {1, 2, ..., *n*}, that is *a*_{i} = *i* for all *i* such that 1 ≤ *i* ≤ *n*.

Input

The first line of the input contains two integers *n* and *q* (1 ≤ *n* ≤ 200 000, 1 ≤ *q* ≤ 50 000) — the length of the permutation and the number of operations that Anton does.

Each of the following *q* lines of the input contains two integers *l*_{i} and *r*_{i} (1 ≤ *l*_{i}, *r*_{i} ≤ *n*) — the indices of elements that Anton swaps during the *i*-th operation. Note that indices of elements that Anton swaps during the *i*-th operation can coincide. Elements in the permutation are numbered starting with one.

Output

Output *q* lines. The *i*-th line of the output is the number of inversions in the Anton's permutation after the *i*-th operation.

Examples

Input

5 4

4 5

2 4

2 5

2 2

Output

1

4

3

3

Input

2 1

2 1

Output

1

Input

6 7

1 4

3 5

2 3

3 3

3 6

2 1

5 1

Output

5

6

7

7

10

11

8

Note

Consider the first sample.

After the first Anton's operation the permutation will be {1, 2, 3, 5, 4}. There is only one inversion in it: (4, 5).

After the second Anton's operation the permutation will be {1, 5, 3, 2, 4}. There are four inversions: (2, 3), (2, 4), (2, 5) and (3, 4).

After the third Anton's operation the permutation will be {1, 4, 3, 2, 5}. There are three inversions: (2, 3), (2, 4) and (3, 4).

After the fourth Anton's operation the permutation doesn't change, so there are still three inversions.

Codeforces (c) Copyright 2010-2021 Mike Mirzayanov

The only programming contests Web 2.0 platform

Server time: May/08/2021 01:36:26 (i1).

Desktop version, switch to mobile version.

Supported by

User lists

Name |
---|