The "eight queens puzzle" is the problem of placing eight chess queens on an 8 chessboard so that no two queens threaten each other. Thus, a solution requires that no two queens share the same row, column, or diagonal. The eight queens puzzle is an example of the more general N queens problem of placing N non-attacking queens on an N×Nchessboard. (From Wikipedia - "Eight queens puzzle".)
Here you are NOT asked to solve the puzzles. Instead, you are supposed to judge whether or not a given configuration of the chessboard is a solution. To simplify the representation of a chessboard, let us assume that no two queens will be placed in the same column. Then a configuration can be represented by a simple integer sequence (, where Qi is the row number of the queen in the i-th column. For example, Figure 1 can be represented by (4, 6, 8, 2, 7, 1, 3, 5) and it is indeed a solution to the 8 queens puzzle; while Figure 2 can be represented by (4, 6, 7, 2, 8, 1, 9, 5, 3)
and is NOT a 9 queens' solution.
Input Specification:
Each input file contains several test cases. The first line gives an integer K (1). Then K lines follow, each gives a configuration in the format "N Q1 Q2 ... QN", where 4 and it is guaranteed that 1 for all ,. The numbers are separated by spaces.
Output Specification:
For each configuration, if it is a solution to the N queens problem, print YES
in a line; or NO
if not.
Sample Input:
4 8 4 6 8 2 7 1 3 5 9 4 6 7 2 8 1 9 5 3 6 1 5 2 6 4 3 5 1 3 5 2 4
Sample Output:
YES NO NO YES
结果
1 #include<cstdio> 2 #include<vector> 3 #include<algorithm> 4 using namespace std; 5 //const int maxk = 210; 6 const int maxn = 1010; 7 int k,n,a[maxn] ={0}; 8 9 bool isOK(int a[], int n){ 10 bool flag = true; 11 for(int i=1;i<n;i++){ 12 for(int j=i+1;j<=n;j++){ 13 if(a[i] == a[j] or abs(i-j) == abs(a[i]-a[j])){ 14 flag = false; 15 return flag; 16 } 17 } 18 } 19 return flag; 20 } 21 22 int main(){ 23 scanf("%d",&k); 24 for(int i=0;i<k;i++){ 25 // input data; 26 scanf("%d",&n); 27 for(int j=1;j<=n;j++){ 28 scanf("%d",&a[j]); 29 } 30 // get result,and print result 31 bool result; 32 result = isOK(a,n); 33 if(result) printf("YES"); 34 else printf("NO"); 35 if(i<k-1) printf(" "); 36 } 37 return 0; 38 }
备注:
1)写的时候,我发现在PAT考试中,可以取个巧;不用安装输入完成后再全部输出的模式进行。也可以输入一行立刻输出一行结果。也不影响最终的评判。