, Question 1 / 1 You have an N x N chessboard and you wish to place N kings on it. Each, C/C++ Programming

, C/C++ Programming

Assignment Help:

Question 1 / 1
You have an N x N chessboard and you wish to place N kings on it. Each row and column should contain exactly one king, and no two kings should attack each other (two kings attack each other if they are present in squares which share a corner).

The kings in the first K rows of the board have already been placed. You are given the positions of these kings as an array pos[ ]. pos[i] is the column in which the king in the ith row has already been placed. All indices are 0-indexed. In how many ways can the remaining kings be placed?

Input:
The first line contains the number of test cases T. T test cases follow. Each test case contains N and K on the first line, followed by a line having K integers, denoting the array pos[ ] as described above.

Output:
Output the number of ways to place kings in the remaining rows satisfying the above conditions. Output all numbers modulo 1000000007.

Constraints:
1 <= T <= 20
1 <= N <= 16
0 <= K <= N
0 <= pos_i < N
The kings specified in the input will be in different columns and not attack each other.

Sample Input:
5
4 1
2
3 0

5 2
1 3
4 4
1 3 0 2
6 1
2

Sample Output:
1
0
2
1
18

Explanation:
For the first example, there is a king already placed at row 0 and column 2. The king in the second row must belong to column 0. The king in the third row must belong to column 3, and the last king must beong to column 1. Thus there is only 1 valid placement.

For the second example, there is no valid placement.

Write Your Message!

Name

Email id

Message

Verfication Code

User Account

All Pages

, C/C++ Programming

Related Discussions:-

Project, Project Overview A certain financial institution (bank) wishes to ...

Source code for decoe to code, i am using mobile phone if i want to communi...

Develop diablo 2 lod 1.13d dupe method for closed battle.net, Develop Diabl...

C++, 2. Write C++ code for calculating the time table

Algorthrithm for c programe, Need algorithm for c programe #Minimum 100 wor...

Title, #questionAt a shop of marbles, packs of marbles are prepared. Packet...

When does a name clash occur in c++, A name clash happens when a name is de...

String program, Write a C++ program which does the following: 1. Asks th...

Valid segments 1, how to write the pgogram?

#grounded header link list, i want programs on grounded header linked list

Write Your Message!

Featured Services

Online Tutoring

Project Development

Exam Preparation

Course Help

Assignment Help

Popular Subjects

Assured A++ Grade

Academics

Major Subjects

Majors

Get In Touch

TERMS & POLICIES

HELP & SUPPORT