A. Rudolf and the Ticket

time limit per test

1 second

memory limit per test

256 megabytes

input

standard input

output

standard output

Rudolf is going to visit Bernard, and he decided to take the metro to get to him. The ticket can be purchased at a machine that accepts exactly two coins, the sum of which does not exceed k�.

Rudolf has two pockets with coins. In the left pocket, there are n� coins with denominations b1,b2,...,bn�1,�2,...,��. In the right pocket, there are m� coins with denominations c1,c2,...,cm�1,�2,...,��. He wants to choose exactly one coin from the left pocket and exactly one coin from the right pocket (two coins in total).

Help Rudolf determine how many ways there are to select indices f� and s� such that bf+cs≤k��+��≤�.

Input

The first line contains an integer t� (1≤t≤1001≤�≤100) --- the number of test cases. Then follows the description of each test case.

The first line of each test case contains three natural numbers n�, m�, and k� (1≤n,m≤100,1≤k≤20001≤�,�≤100,1≤�≤2000) --- the number of coins in the left and right pockets, and the maximum sum of two coins for the ticket payment at the counter, respectively.

The second line of each test case contains n� integers bi�� (1≤bi≤10001≤��≤1000) --- the denominations of coins in the left pocket.

The third line of each test case contains m� integers ci�� (1≤ci≤10001≤��≤1000) --- the denominations of coins in the right pocket.

Output

For each testcase, output a single integer --- the number of ways Rudolf can select two coins, taking one from each pocket, so that the sum of the coins does not exceed k�.

Example

input

Copy

复制代码

4

4 4 8

1 5 10 14

2 1 8 1

2 3 4

4 8

1 2 3

4 2 7

1 1 1 1

2 7

3 4 2000

1 1 1

1 1 1 1

output

Copy

复制代码
6
0
4
12

Note

Note that the pairs indicate the indices of the coins in the array, not their denominations.

In the first test case, Rudolf can choose the following pairs of coins: [1,1],[1,2],[1,4],[2,1],[2,2],[2,4][1,1],[1,2],[1,4],[2,1],[2,2],[2,4].

In the second test case, Rudolf cannot choose one coin from each pocket in any way, as the sum of any two elements from the first and second arrays will exceed the value of k=4�=4.

In the third test case, Rudolf can choose: [1,1],[2,1],[3,1],[4,1][1,1],[2,1],[3,1],[4,1].

In the fourth test case, Rudolf can choose any coin from the left pocket and any coin from the right pocket.

解题说明:水题,两个数列每次取一个数相加,遍历判断是否小于k即可。

cpp 复制代码
#include<stdio.h>
int main() 
{
	int p;
	scanf("%d", &p);
	while (p--) 
	{
		int n, m, k, count = 0;
		scanf("%d%d%d", &n, &m, &k);
		int a[102], b[102];
		for (int i = 0; i < n; i++)
		{
			scanf("%d", &a[i]);
		}
		for (int i = 0; i < m; i++)
		{
			scanf("%d", &b[i]);
		}
		for (int i = 0; i < n; i++)
		{
			for (int j = 0; j < m; j++) 
			{
				if (a[i] + b[j] <= k)
				{
					count++;
				}
			}
		}
		printf("%d\n", count);
	}
	return 0;
}
相关推荐
R1nG86336 分钟前
CANN资源泄漏检测工具源码深度解读 实战设备内存泄漏排查
数据库·算法·cann
_OP_CHEN1 小时前
【算法基础篇】(五十六)容斥原理指南:从集合计数到算法实战,解决组合数学的 “重叠难题”!
算法·蓝桥杯·c/c++·组合数学·容斥原理·算法竞赛·acm/icpc
TracyCoder1231 小时前
LeetCode Hot100(27/100)——94. 二叉树的中序遍历
算法·leetcode
九.九1 小时前
CANN HCOMM 底层机制深度解析:集合通信算法实现、RoCE 网络协议栈优化与多级同步原语
网络·网络协议·算法
C++ 老炮儿的技术栈1 小时前
Qt Creator中不写代如何设置 QLabel的颜色
c语言·开发语言·c++·qt·算法
子春一1 小时前
Flutter for OpenHarmony:构建一个 Flutter 数字消消乐游戏,深入解析网格状态管理、合并算法与重力系统
算法·flutter·游戏
草履虫建模8 小时前
力扣算法 1768. 交替合并字符串
java·开发语言·算法·leetcode·职场和发展·idea·基础
naruto_lnq10 小时前
分布式系统安全通信
开发语言·c++·算法
Jasmine_llq10 小时前
《P3157 [CQOI2011] 动态逆序对》
算法·cdq 分治·动态问题静态化+双向偏序统计·树状数组(高效统计元素大小关系·排序算法(预处理偏序和时间戳)·前缀和(合并单个贡献为总逆序对·动态问题静态化
爱吃rabbit的mq11 小时前
第09章:随机森林:集成学习的威力
算法·随机森林·集成学习