试题 A: 约数个数

本题总分:5 分

【问题描述】

对于一个整数,能整除这个整数的数称为这个数的约数。

例如:1, 2, 3, 6 都是 6 的约数。

请问 78120 有多少个约数。

【答案提交】

这是一道结果填空的题,你只需要算出结果后提交即可。本题的结果为一 个整数,在提交答案时只填写这个整数,填写多余的内容将无法得分。

package lanqiao.c11;

public class PA {
	public static void main(String[] args) {
		int num=78120 ;
		int count=0;
		for( int i=1;i<=num;i++ ) {
			if( num%i==0 ) {
				count++;
			}
		}
		System.out.println(count);
	}
}

答案:96

试题 B: 寻找 2020

本题总分:5 分

【问题描述】

小蓝有一个数字矩阵,里面只包含数字 0 和 2。小蓝很喜欢 2020,他想找 到这个数字矩阵中有多少个 2020 。

小蓝只关注三种构成 2020 的方式:

• 同一行里面连续四个字符从左到右构成 2020。

• 同一列里面连续四个字符从上到下构成 2020。

• 在一条从左上到右下的斜线上连续四个字符,从左上到右下构成 2020。

例如,对于下面的矩阵:

220000
000000
002202
000000
000022
002020

一共有 5 个 2020。其中 1 个是在同一行里的,1 个是在同一列里的,3 个 是斜线上的。

小蓝的矩阵比上面的矩阵要大,由于太大了,他只好将这个矩阵放在了一 个文件里面,在试题目录下有一个文件 2020.txt,里面给出了小蓝的矩阵。

请帮助小蓝确定在他的矩阵中有多少个 2020。

package lanqiao.c11;

public class PB {
	public static void main(String[] args) {
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				"200202020002220220022222222002200222200200002022222020000020022020200002002000220000220002220000000220002020002022202020002022020220200220002002020000200200000200222202002202022020222220002000020222222022022202222022022220002202200220220022020202202002202220220020202000202002000202222020202222000222\r\n" + 
				"022220002222222200200200220002022222022220002000202002002020222000222222002002000220002020220022002202022220020000022022202000002002200020000002020020000022220020200020220220020220002022220222002000202220202200202020000020202000000220000202202020020002220020022000000022000202200000002002200020202022\r\n" + 
				"022000020002000022200000002020202220022200022200002202002222220202020202200000222222022022002222020200200200222020002022220222220200220202200200022202222022022002020000200200200002222220002202000022220022002002222222222002220000222202022222222000002200022220202220222220202020000220022022222222020022\r\n" + 
				"222022002220022200000200200202000220020000002222000020000022220202220022222220222020202022200022020000220200022002000202220222220002200202022000022200022022202222222000020202000000000220222202022222200202002202020200220220202220022000000200002200020200000002020200200200202020022220220220000222222000\r\n" + 
				"202202222022220200222022022200002200200022000002200022200222020220022200202202202200020200200220000020200000202220022020002220020200222022002200000020200002220202000000002200200002020002200022220220220022222202220202222200022020022202222220220022002000022020020202022020222222220000000000002022000020\r\n" + 
				"202022020200022202000000020220000222022202200220202020020002002002220220222200000222002022022022200022002222020220000020002022022000020002200020202000222022220222220202002222220020002222200220202002002202002220002222202002202220002000000200220202020222222202000020000020220222220002020020220200020200\r\n" + 
				"220220002022220000220222022002002222200200002020002202200200002200200222220202000202002200022220022020222020002202000020022000000200220000220000022220200220000020000200022222020022200020202002202222020020002202022222022220202222022022222202022002000020002202020022002002200020002022000002020002020202\r\n" + 
				"020202200022200220000220022220220202202202002220200022202200220220220220200200020020200022222022000202000220200002220222202000022020220002000220020222220000220000022022220000202000222202220020020222002222000000022220020220200022002002200200220022222022022200202222020222220200220200202220202202002222\r\n" + 
				"202200222020220202002020200020020022000220220002002022200000002020020020220002000022020222020020002220002200020020020200020200022002000020220202200202022022222200022022222022202020220000022220022020222000020220220202200022220022200220022220000220222020022000222022222022022002002020200020202002020022\r\n" + 
				"202000000220000200200022222022222000002200200000002220220222000022222222022020002020220202200222020002002202000200200220202002022020002202000000202020000022002220022002202200002022202000022220222202222202022020000200200222202220022020200222202220020220200020202000200200000222202222020000022002020200\r\n" + 
				"002022020222222202222020000002000220000000202200022202022202000000022002020022002002000220222002000222002000022020000220222222000202220002202200202000220000220020000022000200222020222222222000020200002222020000000200200200000022202222020000202220000200202222222002202000200022022002222000200022220222\r\n" + 
				"022000220020002000002222200202222222202000222020002000022200002200020222200022222022200020002020000202020000222020200222000022200222022022200020000020220000220000200022022200022220002220220222020200000020202022002220222002002220020002220002202202202200002002200222002220222000220000200000220200202200\r\n" + 
				"000022200000200220222200220000002002020020220220002222220002220020022020200222222222220202202202000220022002220222200002222220022000022200202222022200200222222020002002002220002202022220002022222022222022022220022000022200202220000000202022002022202002222020002202022202022202200222222220202200022222\r\n" + 
				"002222220220002020022220220202020200002002220020220022022002000202202002200202002020200000200022222222022022220000002200022002020200000220222022200020002202020220002200202220220002020000002020000020022020000200022202000002200202022200200200000022200220022002020020202022200000000002222020222002020222\r\n" + 
				"022022020220000202200220202020200200002000002000000020200220222002222220222000002200002222022200222222002222200020220020000200222222000020022000220000002220200000202002020220200220000202220222202222000200200000222222220022222002020002020022020000020000200222222020202220022200220220002200222202022002\r\n" + 
				"020200000220002000022200002020000222200200220200000200000002002020200202000202222002222200020220000202222202220020222220202222000222022202022202002000000020020022222200202002000022220222220020000020200020220020222022202200202002202002002002222202222222202222202002022020000200002222002000200000002202\r\n" + 
				"200020020200000200000220200022202020202220220020222200020202022022022202020202002200220002000200022222220022220000200000220222000002200020202022200002000020200222220002222220202202000200202220222022022200200000200020200000002000220200000020222022220220200222000200002222000222020200200202200202220222\r\n" + 
				"002200202002200202202222222002020220020000000202200000222200220000000000022200022000220202020222022022220220220202200020200222222022020020000002222202002222200000202020200220200200002020002022222002020000202222200202200002222200200000222200202022000202022220200002002220222202200002202220200222020002\r\n" + 
				"020222002000000202222220020000000000022002022002020202202002002200222200020222222002200000022000222200200222202000200000202022002222020220002222020000000002022220202000202202222200002222200022002000000002222200222222220000220200020020220202022020022222222002002200200002002200000002202220222200222000\r\n" + 
				"000000002022022020022202202200000200020220022220000022022002000020002022220200220220222020022200002022222222002200020222020002222220200002202002020022220022022002220222220002022020022022202002002222020020022202200222200000200022002220202000200222200202020022002220202200022002000200002202020002022000\r\n" + 
				"022220000002200200202022000202222022202222222202022002222200022200222220020200222020002022222220022202000002220020220002022222022022002022202222222000022002020002202002022000022000202200000220200022200020220222000022202222000222222022202022222022200002202220222000202000200002220200000200202002202202";
//		queryString="220000\r\n" + 
//				"000000\r\n" + 
//				"002202\r\n" + 
//				"000000\r\n" + 
//				"000022\r\n" + 
//				"002020";
		String[] arrString=queryString.split("\r\n");
		char[][] list=new char[arrString.length][arrString[0].length()];
		for( int i =0;i<arrString.length;i++ ) {
			list[i]=arrString[i].toCharArray();
		}
		int count=0;
		String key="2020";
//		行
		for( int i=0;i<list.length;i++ ) {
			String tmpStr="";
			for( int j=0;j<list[i].length;j++ ) {
				tmpStr+=list[i][j];
			}
			int index=0;
			while( true ) {
				if( ( index=tmpStr.indexOf(key,index) )==-1 ) {
					break;
				}
				index++;
				count++;
			}
		}
//		列
		for( int i=0;i<list[0].length;i++ ) {
			String tmpStr="";
			for( int j=0;j<list.length;j++ ) {
				tmpStr+=list[j][i];
			}
			int index=0;
			while( true ) {
				if( ( index=tmpStr.indexOf(key,index) )==-1 ) {
					break;
				}
				index++;
				count++;
			}
		}
		for( int i =0;i<list.length;i++ ) {
			String tmpStr="";
			for( int j=0;j<list.length-i;j++ ) {
				tmpStr+=list[j][i+j];
			}
			int index=0;
			while( true ) {
				if( ( index=tmpStr.indexOf(key,index) )==-1 ) {
					break;
				}
				index++;
				count++;
			}
		}
		for( int i =1;i<list.length;i++ ) {
			String tmpStr="";
			for( int j=0;j<list.length-i;j++ ) {
				tmpStr+=list[j+i][j];
			}
			int index=0;
			while( true ) {
				if( ( index=tmpStr.indexOf(key,index) )==-1 ) {
					break;
				}
				index++;
				count++;
			}
		}
		System.out.println("个数:"+count);
	}
}

答案:16520

试题 C: 跑步锻炼

本题总分:10 分

【问题描述】

小蓝每天都锻炼身体。

正常情况下,小蓝每天跑 1 千米。如果某天是周一或者月初(1 日),为了 激励自己,小蓝要跑 2 千米。如果同时是周一或月初,小蓝也是跑 2 千米。

小蓝跑步已经坚持了很长时间,从 2000 年 1 月 1 日周六(含)到 2020 年 10 月 1 日周四(含)。请问这段时间小蓝总共跑步多少千米?

【答案提交】

这是一道结果填空的题,你只需要算出结果后提交即可。本题的结果为一 个整数,在提交答案时只填写这个整数,填写多余的内容将无法得分。

package lanqiao.c11;

public class PC {
	public static void main(String[] args) {
		int count=0;
		int currentWeek=5;
		int curretnMonth=1;
		int currentDay=1;
		int currentYear=2000;
		while( curretnMonth<10 || currentDay<=1 || currentYear<2020 ) {
			count++;
			if( currentWeek==0 || currentDay==1 ) {
				count++;
			}
			if( monthDay(currentYear,curretnMonth)==currentDay ) {
				curretnMonth++;
				currentDay=1;
				if( curretnMonth==13 ) {
					curretnMonth=1;
					currentYear++;
				}
			}else {
				currentDay++;
			}
			System.out.println("year:"+currentYear+",month:"+curretnMonth+",day"+currentDay+",week:"+currentWeek);
			currentWeek=(currentWeek+1)%7;
		}
		System.out.println(count);
	}
	public static int monthDay(int year,int m) {
		switch( m ) {
		case 1:
			return 31;
		case 2:
			return year%400==0 || year%4==0?29:28;
		case 3:
			return 31;
		case 4:
			return 30;
		case 5:
			return 31;
		case 6:
			return 30;
		case 7:
			return 31;
		case 8:
			return 31;
		case 9:
			return 30;
		case 10:
			return 31;
		case 11:
			return 30;
		case 12:
			return 31;
		default :
			return 30;
		}
	}
}

答案:8879

#####做不下去了,心累