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:-

C program for sorting of long word with one string, C Program for SORTING O...

C Program for SORTING OF LONG WORD WITH ONE STRING #include stdio.h> #include conio.h> #include string.h> void main() {           char n[50],c[25][25];

Develop custom mql4 code, Develop Custom Mql4 Code/Fxdreema block Projec...

Develop Custom Mql4 Code/Fxdreema block Project Description: I need the subsequent code written in mql4 and integrated as custom block(s) in fxdreema: for each trade: C

Polishing game coding, find out damjibhai can win

find out damjibhai can win

Guidelines or "rules of thumb" for overloading operators?, What are some gu...

What are some guidelines / "rules of thumb" for overloading operators? A: Here are a few guidelines / rules of thumb .Use common sense. If your overloaded operator makes life si

Decode the code, Smugglers are becoming very smart day by day. Now they hav...

Smugglers are becoming very smart day by day. Now they have developed a new technique of sending their messages from one smuggler to another. In their new technology, they are send

Board coloring, source code in c ?

source code in c ?

Loops, how many types of loops are there and whay are they and what are its...

how many types of loops are there and whay are they and what are its uses

#title.Thick line, #questio c++ program for drawing thick line

#questio c++ program for drawing thick line

Describe the oops concept - class, There are so many different concepts rel...

There are so many different concepts related with OOP (Object-oriented programming) such as: Class Object Inheritance Polymorphism Abstraction Encapsulation

PEBBLE MERCHANT, There is a pebble merchant. He sells the pebbles, that are...

There is a pebble merchant. He sells the pebbles, that are used for shining the floor. His main duty is to take the length of the room’s sides. But he sometimes mistakes doing that

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