Title Description
Put K Kings in NxN's chessboard, so that they do not attack each other, there are many kinds of layout plan. The king can attack it up and down, as well as the left upper left lower right up to the bottom right in the next eight directions in the vicinity of a grid, a total of 8 squares.
Input/output format
Input format:
Only one row, containing two numbers n,k (1 <=n <=9, 0 <= K <= n * N)
Output format:
Number of programmes received
Input and Output Sample input example # #:
3 2
Sample # # of output:
16
#include <cstdio>#include<cstring>#include<iostream>using namespacestd;intN,k,i,j,w,m;//N*n's chessboard, K kings.intt[1010];intf[ -][522][ the];//F[i][j][k] Indicates the number of schemes for the K-Kings of the I-row J-State placementintCheckintXintY//x on, y under, 1 to meet condition, 0 for not satisfied{ if((x&y)! =0)return 0;//if x and Y are both up and down in 1 cases, return 0; if((x& (x<<1)) >0)return 0;//if x turns into binary, there is an adjacent 1 return 0; if((y& (y<<1)) >0)return 0;//if y turns into binary, there is an adjacent 1 return 0; if((y& (x<<1)) >0)return 0;//if X is in conflict with the lower left of Y, return 0; if((x& (y<<1)) >0)return 0;//if X is in conflict with the lower right of Y, return 0; return 1;//Otherwise, it returns 1 .}intMain () {CIN>>n>>K; M=(1<<n)-1;//2^k-1 for(i=1; i<=m;i++)//ask for a T arrayT[i]=t[i>>1]+ (i&1);//I turn to 2 after the number of 1, why use bit arithmetic: Save time! f[0][0][0]=1;//Initial value for(i=1; i<=n;i++)//pieces held for(j=0; j<=m;j++)//enumerating the bank's state for(w=0; w<=m;w++)//enumerate the previous row state if(check (w,j) = =1)//If this placement method is legal { for(intkkk=t[j]+t[w];kkk<=k;kkk++)//T[j]+t[w] For the kings of these two lines, K for the number of kings to be placed altogetherf[i][j][kkk]=f[i][j][kkk]+f[i-1][W][KKK-T[J]/*minus the number of kings, the rest of us.*/];//add it in . } intsum=0; for(i=0; i<=m;i++) Sum+=F[N][I][K];//Statisticsprintf"%d", sum);//Output return 0;}
Rokua P1896 [SCOI2005] Non-aggression king