, 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:-

Java code, Calculate the salary if the person work 8 hours/day and the sala...

Calculate the salary if the person work 8 hours/day and the salary/hour is RM5.20 - UML class diagaram -Class -Exception handling/assertion

Discount program, Build a program that calculates a discount for items base...

Build a program that calculates a discount for items based on quantity bought each item is $99.99 Ask user to enter the quantity of the items Get the quantity of items from the u

Define statements to define the constants, the problem description. The ...

the problem description. The order of the C Program should be as follows: Variables and constants Use #define statements to define the constants. Use arr

Roman code python help , In general, Roman numerals can be converted mathem...

In general, Roman numerals can be converted mathematically by simply assigning a numerical value to each letter, according to the chart below, and calculating a total: M=1000 | D=5

Explain structured programming, Explain structured programming The prin...

Explain structured programming The principal idea behind structured programming was as easy as the idea of "divide and conquer." A computer program could be regarded as having

Bank account system, To implement a back account system for new users

To implement a back account system for new users

Array, Assigning value to individual elements in array

Assigning value to individual elements in array

Explain register variable, Explain Register Variable Computers have int...

Explain Register Variable Computers have internal registers, which are used to keep data temporarily, before any operation can be performed. Intermediate results of the calcula

Rules of function, Rules of function: Inline function created witho...

Rules of function: Inline function created without prototype it reduces the memory and it is used only for small function. Inline function cannot have recursion, static var

What does extern "c" int func(int *, A: This will turn o_ "name mangling" f...

A: This will turn o_ "name mangling" for func so that one can connect to code compiled by a C compiler.

Write Your Message!

Captcha
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!

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