题解：swj社会摇成佛第六课

题目链接

solution：

dp

f[i]表示lhy小伙身长为i,能砍得的最优解

f[i]=f[j]*f[i-j];

public class CuttingRope01 {
	
	public static void main(String[] args) {
		CuttingRope01 rope = new CuttingRope01();
		Scanner sca = new Scanner(System.in);
		int length = sca.nextInt();
		System.out.println(rope.maxResult(length));
	}
	
	public int maxResult(int length) {
	    if(length < 0)  return -1;
	    int result[] = new int[length+1];
	    if(length < 2) return 0;
	    if(length == 2) return 1;
	    if(length == 3) return 2;
		result[0] = 0;
		result[1] = 1;
		result[2] = 2;
	    result[3] = 3;
	    for(int i = 4; i <= length; i++) {
	    	int  max = i;
	    	for(int j = 1; j <= i/2; j++) {
	    		int temp = result[j]*result[i-j];
	    		if(temp > max) {
	    			max = temp;
	    		}
	    	}
	    	result[i] = max;
	    }
		
		return result[length];
	} 
	
}