User Account

All Pages

, 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.

Related Discussions:-

Program to calls to echo the typed characters, Write a main program that us...

Write a main program that uses these system calls to echo the typed characters. The pseudo code will look something like: void traphandler ()  {    if (R0 == 0) { // read sys

Explain pros and cons of cpp as a programming language, Write a 3-4 page pa...

Write a 3-4 page paper (350 words per page) in APA format detailing the development and use of C++ in academia and in industry. Explain the pros and cons of C++ as a programming la

Law of motion, Ask question asdasasas#Minimum 100 words accepted#

Ask question asdasasas#Minimum 100 words accepted#

Computes the ackermann-peter a m-n function, (a) Write a procedure that com...

(a) Write a procedure that computes the Ackermann-Peter a(m,n) function. (b) Write a helper procedure that only allows the calculation of the Ackermann-Peter function for 0≤m

Operator overloading, write aprogram in c++ to overload +,-,=,++ operator ...

write aprogram in c++ to overload +,-,=,++ operator using unary and friend function in a single program

Lennie, Lennie McPherson, proprietor of Lennie''''s Bail Bonds, needs to ca...

Lennie McPherson, proprietor of Lennie''''s Bail Bonds, needs to calculate the amount due for setting the bail. Lennie requires something of value as collateral, and his fee is 10%

Thermodynamics, the program that solve the efficiency of otto cycle

the program that solve the efficiency of otto cycle

#title.digital clock, Write a program to print a digital clock which displa...

Write a program to print a digital clock which displays the time for 2 hours .

#pesdo code and flowchart, #exercise

#exercise

Superasciistring checker, code for superasciistring checker

code for superasciistring checker

Write Your Message!

Captcha
Order Assignment

Featured Services

Order Now

Popular Subjects

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

Submit Assignment

Academics

Major Subjects

Majors

Get In Touch

whatsapp: +91-977-207-8620

Phone: +91-977-207-8620

Email: [email protected]

TERMS & POLICIES

HELP & SUPPORT

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd