大意:
有一张N*N的网格,你每次可以走一步,每格只能走一次,有没有一种方法让走了L步后回到一个距原点1步远的格子?
没有输出Unsuitable device,否则输出Overwhelming power of magic并输出方案。
一开始用DFS 奇偶剪枝了还是TLE,
代码如下:
#include<iostream> #include<cstring> #include<cmath> #define N 110 using namespace std; int n,t,end_i,end_j; bool visited[N][N],flag,ans; char map[N][N]; int run[10010][2]; int tem; int a[4][2]={{-1,0},{1,0},{0,-1},{0,1}}; void DFS(int i,int j,int c) { if(flag){ return ;} if(c>t) return ; if(i<=0||i>n||j<=0||j>n) {return ;} if(map[i][j]=='D'&&c==t) {flag=ans=true; return ;} int temp=abs(i-end_i)+abs(j-end_j); temp=t-temp-c; //t扣掉还要走的最短步temp 和 已经走过的 c 如果这些步还是奇数直接不满足 if(temp&1) return ;//奇偶剪枝 奇数return for(int k=0;k<4;k++) if(!visited[i+a[k][0]][j+a[k][1]]) //开始进行各个方向的探索 记得回溯,取消之前走的状态 { visited[i+a[k][0]][j+a[k][1]]=true; DFS(i+a[k][0],j+a[k][1],c+1); if(flag){cout<<i+a[k][0]<<" "<<j+a[k][1]<<endl;break;} visited[i+a[k][0]][j+a[k][1]]=false; } } int main() { int i,j; while(cin>>n>>t) { if(t%2!=0||t>n*n){cout<<"Unsuitable device"<<endl;continue;} else cout<<"Overwhelming power of magic"<<endl; cout<<"1 1"<<endl; memset(visited,0,sizeof(visited)); for(i=1;i<=n;i++) { for(j=1;j<=n;j++) { map[i][j]='.'; } } end_i=2;end_j=1; map[2][1]='D'; visited[1][1]=1; ans=flag=false; DFS(1,1,1); // if(ans) cout<<"YES"<<endl; // else cout<<"NO"<<endl; } return 0; }
后来是找规律做出来的,根据奇偶分类讨论一下;;
代码写的很烂。。
很多复用的没复用。。
#include<iostream> #include<cstring> #include<cmath> #define N 110 using namespace std; int n,t,end_i,end_j; bool visited[N][N],flag,ans; char map[N][N]; int run[10010][2]; int tem; int a[4][2]={{-1,0},{1,0},{0,-1},{0,1}}; int main() { int i;int xx,yy,kk; while(cin>>n>>t) { if(t%2!=0||t>n*n){cout<<"Unsuitable device"<<endl;continue;} else cout<<"Overwhelming power of magic"<<endl; // cout<<"1 1"<<endl; if(n%2==0){ if(t<=2*n){ for(i=1;i<=t/2;i++){ cout<<1<<" "<<i<<endl; } for(i=t/2;i>0;i--){ cout<<2<<" "<<i<<endl; } } else{ kk=t-2*n; yy=kk/(2*(n-2)); xx=kk%(2*(n-2)); for(i=1;i<=n;i++){ cout<<"1 "<<i<<endl; } if(xx!=0){ int w2=n-2; for( i=2;i<=2+xx/2;i++){ cout<<i<<" "<<n<<endl; } for( i=2+xx/2;i>=2;i--){ cout<<i<<" "<<n-1<<endl; } while(yy--){ for(i=2;i<=n;i++) cout<<i<<" "<<w2<<endl; for(i=n;i>=2;i--) cout<<i<<" "<<w2-1<<endl; w2-=2; } while(w2!=0){ cout<<"2 "<<w2<<endl; cout<<"2 "<<w2-1<<endl; w2-=2; } } else{ int wei; wei=n; while(yy--){ for(i=2;i<=n;i++) cout<<i<<" "<<wei<<endl; for(i=n;i>=2;i--) cout<<i<<" "<<wei-1<<endl; wei-=2; } while(wei!=0){ cout<<"2 "<<wei<<endl; cout<<"2 "<<wei-1<<endl; wei-=2; } } } } else{ if(t<=2*n){ for(i=1;i<=t/2;i++){ cout<<1<<" "<<i<<endl; } for(i=t/2;i>0;i--){ cout<<2<<" "<<i<<endl; } } else if(t<=2*n+2*(n-2)){ int er=(t-(2*n))/2; for(i=1;i<=n;i++){ cout<<1<<" "<<i<<endl; } for(i=n;i>=3;i--){ cout<<2<<" "<<i<<endl; } for(i=2;i<=2+er;i++){ cout<<i<<" "<<2<<endl; } for(i=er+2;i>=2;i--){ cout<<i<<" "<<1<<endl; } } else if(t<=(n+n-1+3*(n-2))){ int bb=(t-(2*n+2*(n-2)))/2; for(i=1;i<=n;i++){ cout<<1<<" "<<i<<endl; } for(i=n;i>=3;i--){ cout<<2<<" "<<i<<endl; } for(i=3;i<=n;i++){ cout<<i<<" "<<3<<endl; } cout<<n<<" "<<2<<endl; int x=n,y=1; cout<<x<<" "<<y<<endl; x--; cout<<x<<" "<<y<<endl; while(1){ if(x==2&&y==1){break;} if(bb>0&&y==1&&x%2==0){ y=2;bb--; cout<<x<<" "<<y<<endl; } else if(y==2&&x%2==0){ x--; cout<<x<<" "<<y<<endl; } else if(y==2&&x%2==1){ y=1;cout<<x<<" "<<y<<endl; } else if(y==1&&x%2==1){ x--; cout<<x<<" "<<y<<endl; } else if(bb<=0&&y==1&&x%2==0){ x--; cout<<x<<" "<<y<<endl; } } } else{ kk=t-(n+n-1+3*(n-2)); yy=kk/(2*(n-2)); xx=kk%(2*(n-2)); for(i=1;i<=n;i++){ cout<<"1 "<<i<<endl; } if(xx!=0){ int w21=n-2; for( i=2;i<=2+xx/2;i++){ cout<<i<<" "<<n<<endl; } for( i=2+xx/2;i>=2;i--){ cout<<i<<" "<<n-1<<endl; } while(yy--){ for(i=2;i<=n;i++) cout<<i<<" "<<w21<<endl; for(i=n;i>=2;i--) cout<<i<<" "<<w21-1<<endl; w21-=2; } while(w21!=3){ cout<<"2 "<<w21<<endl; cout<<"2 "<<w21-1<<endl; w21-=2; } } else{ int wei2; wei2=n; while(yy--){ for(i=2;i<=n;i++) cout<<i<<" "<<wei2<<endl; for(i=n;i>=2;i--) cout<<i<<" "<<wei2-1<<endl; wei2-=2; } while(wei2!=3){ cout<<"2 "<<wei2<<endl; cout<<"2 "<<wei2-1<<endl; wei2-=2; } } /* * */ for(i=2;i<=n;i++){ cout<<i<<" "<<3<<endl; } cout<<n<<" "<<2<<endl; int x=n,y=1; cout<<x<<" "<<y<<endl; x--; cout<<x<<" "<<y<<endl; while(1){ if(x==2&&y==1){break;} if(y==1&&x%2==0){ y=2; cout<<x<<" "<<y<<endl; } else if(y==2&&x%2==0){ x--; cout<<x<<" "<<y<<endl; } else if(y==2&&x%2==1){ y=1;cout<<x<<" "<<y<<endl; } else if(y==1&&x%2==1){ x--; cout<<x<<" "<<y<<endl; } } } } } return 0; }
有的队也有用DFS过的T T
#include<iostream> using namespace std; int n,l,ans; void dfs(int x,int y,int z){ if(ans==l) return ; if(x>n||y>n) return ; if(z==0){ printf("%d %d\n",x,y); ans+=2; dfs(x+1,y,0); printf("%d %d\n",x,y+1); if(n%2==x%2) dfs(x,3,1); } else if(z==1){ printf("%d %d\n",x,y); ans+=2; dfs(x,y+1,1); printf("%d %d\n",x-1,y); if(x==3&&y%2==0) dfs(x-2,y,2); } else if(z==2){ ans+=2; printf("%d %d\n",x,y); printf("%d %d\n",x,y-1); } } int main(){ cin>>n>>l; if(l%2==1||n*n<l){ printf("Unsuitable device\n"); } else{ printf("Overwhelming power of magic\n"); printf("1 1\n"); printf("2 1\n"); ans=4; dfs(3,1,0); printf("2 2\n"); if(ans!=n) dfs(2,3,1); printf("1 2\n"); } return 0; }
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today lazy . tomorrow die .