LogiQuest

308. Negatives in a Sorted Matrix

EasyStaircase

Rows and columns are sorted in non-increasing order. Print how many negative numbers the matrix contains.

Input format

Line 1: r c Next r lines: c integers

Output format

The count.

Example 1

Input

4 4
4 3 2 -1
3 2 1 -1
1 1 -1 -2
-1 -1 -2 -3

Output

8

Example 2

Input

2 2
3 2
1 0

Output

0

Constraints

1 ≤ r, c ≤ 1000

Read input from standard input and print the answer to standard output. Your code is judged against 3 test cases, most of them hidden.

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