http://poj.org/problem?id=2738 //* @author: ccQ.SuperSupper import java.io.*; import java.util.*; public class Main { static final int M = 2,N = 1000+2; static int value[] = new int[N]; static int map[][][] = new int[N][N][M],n; public static int Get_Num(StreamTokenizer cin) throws Exception{ cin.nextToken(); return (int) cin.nval; } public static void main(String []args) throws Exception{ int i,k=1; StreamTokenizer cin = new StreamTokenizer(new BufferedReader(new InputStreamReader(System.in))); while(true){ n = Get_Num(cin); if(n==0) break; for(i=1;i<=n;++i) value[i] = Get_Num(cin); System.out.println("In game "+k+", the greedy strategy might lose by as many as "+solve()+" points."); ++k; } } public static void init_map(){ int i,j; for(i=0;i<=n;++i) for(j=0;j<=n;++j){ map[i][j][0] = map[i][j][1] = -1; } } public static int max(int a,int b){ return a>b?a:b; } public static int get_ans(int left,int right,int p){ if(map[left][right][p]!=-1) return map[left][right][p]; if(left==right){ if(p==1) return map[left][right][p] = value[left]; return map[left][right][p] = 0; } if(p==1){ return map[left][right][p] = max(get_ans(left,right-1,1-p)+value[right],get_ans(left+1,right,1-p)+value[left]); }else{ return map[left][right][p] = (value[right]>value[left]?get_ans(left,right-1,1-p):get_ans(left+1,right,1-p)); } } public static int solve(){ int i,k=0; init_map(); for(i=1;i<=n;++i) k+=value[i]; return get_ans(1,n,1)*2-k; } }
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