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The "eight queens puzzle" is the problem of placing eight chess queens on an 8×8 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×N chessboard. (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 (Q?1??,Q?2??,?,Q?N??), where Q?i?? 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.
 |  | |
|---|---|---|
| Figure 1 | Figure 2 |
Each input file contains several test cases. The first line gives an integer K (1<K≤200). Then K lines follow, each gives a configuration in the format "N Q?1?? Q?2?? ... Q?N??", where 4≤N≤1000 and it is guaranteed that 1≤Q?i??≤N for all i=1,?,N. The numbers are separated by spaces.
For each configuration, if it is a solution to the N queens problem, print YES in a line; or NO if not.
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
YES
NO
NO
YES
#include <stdio.h> #include <algorithm> #include <math.h> using namespace std; int k,n; int a[1010]; int main(){ scanf("%d",&k); for(int i=0;i<k;i++){ fill(a,a+1010,0); scanf("%d",&n); int flag=0; for(int j=1;j<=n;j++){ int tmp; scanf("%d",&tmp); if(flag==0){ a[j]=tmp; for(int q=1;q<j;q++){ if(abs(j-q)==abs(a[j]-a[q]) || a[j]==a[q]){ flag=1; break; } }} else continue; } printf("%s\n",flag==1?"NO":"YES"); } }
注意点：测试点1是有两个在同一行，所以这题是不仅判断对角线，还有同行，但肯定不会同列。
PAT A1128 N Queens Puzzle （20 分）
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原文地址：https://www.cnblogs.com/tccbj/p/10409234.html
