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题目1.
1、算法分析:
这些数字至少满足以下两个特征中的一种:
* 数字是11的整数倍。
* 数字中至少包含两个1。
2、代码:
import java.io.*; import java.util.*; class Test{ public static void
main(String[] args) { Scanner sc = new Scanner(System.in); String s =
sc.nextLine(); int n =Integer.parseInt(s); for(int i=0;i<n;i++){ String str
=sc.nextLine(); int count=0; for(int j=0;j<str.length();j++){
if(str.charAt(j)=='1' && count<=2){ //统计一下输入字符串是否包含>=2个“1” count++; } } int num
= Integer.parseInt(str); if(num<11 || num%11 != 0 || count<2){
System.out.println("no"); }else{ System.out.println("yes"); } } } }
题目2:
1、算法分析
其实,拿到这题,我们可以很容易想到这种求组合的问题,常用动态规划和前缀和的方法来做。
1.1 动态规划
根据题目,要满足子序列乘积为正,我们需要考虑当前元素是正1 还是负1,1的正负不同,我们考虑的递推公式也不同。
1)确定递推公式
因为存在正负两种情况,我们定义如下:
dp[i][0]