A10459 | Shopping
时间限制1s
内存限制256MB
通过 / 提交0/0
题目描述
Ayush is a cashier at the shopping center. Recently his department has started a ''click and collect" service which allows users to shop online.
The store contains $k$ items. $n$ customers have already used the above service. Each user paid for $m$ items. Let $a_{ij}$ denote the $j$ -th item in the $i$ -th person's order.
Due to the space limitations all the items are arranged in one single row. When Ayush receives the $i$ -th order he will find one by one all the items $a_{ij}$ ( $1<=j<=m$ ) in the row. Let $pos(x)$ denote the position of the item $x$ in the row at the moment of its collection. Then Ayush takes time equal to $pos(a_{i1})+pos(a_{i2})+...+pos(a_{im})$ for the $i$ -th customer.
When Ayush accesses the $x$ -th element he keeps a new stock in the front of the row and takes away the $x$ -th element. Thus the values are updating.
Your task is to calculate the total time it takes for Ayush to process all the orders.
You can assume that the market has endless stock.
The store contains $k$ items. $n$ customers have already used the above service. Each user paid for $m$ items. Let $a_{ij}$ denote the $j$ -th item in the $i$ -th person's order.
Due to the space limitations all the items are arranged in one single row. When Ayush receives the $i$ -th order he will find one by one all the items $a_{ij}$ ( $1<=j<=m$ ) in the row. Let $pos(x)$ denote the position of the item $x$ in the row at the moment of its collection. Then Ayush takes time equal to $pos(a_{i1})+pos(a_{i2})+...+pos(a_{im})$ for the $i$ -th customer.
When Ayush accesses the $x$ -th element he keeps a new stock in the front of the row and takes away the $x$ -th element. Thus the values are updating.
Your task is to calculate the total time it takes for Ayush to process all the orders.
You can assume that the market has endless stock.
输入格式
The first line contains three integers $n$ , $m$ and $k$ ( $1<=n,k<=100,1<=m<=k$ ) — the number of users, the number of items each user wants to buy and the total number of items at the market.
The next line contains $k$ distinct integers $p_{l}$ ( $1<=p_{l}<=k$ ) denoting the initial positions of the items in the store. The items are numbered with integers from $1$ to $k$ .
Each of the next $n$ lines contains $m$ distinct integers $a_{ij}$ ( $1<=a_{ij}<=k$ ) — the order of the $i$ -th person.
The next line contains $k$ distinct integers $p_{l}$ ( $1<=p_{l}<=k$ ) denoting the initial positions of the items in the store. The items are numbered with integers from $1$ to $k$ .
Each of the next $n$ lines contains $m$ distinct integers $a_{ij}$ ( $1<=a_{ij}<=k$ ) — the order of the $i$ -th person.
输出格式
Print the only integer $t$ — the total time needed for Ayush to process all the orders.
输入输出样例
输入 #1
2 2 5 3 4 1 2 5 1 5 3 1
输出 #1
14
Customer $1$ wants the items $1$ and $5$ .
$pos(1)=3$ , so the new positions are: $[1,3,4,2,5]$ .
$pos(5)=5$ , so the new positions are: $[5,1,3,4,2]$ .
Time taken for the first customer is $3+5=8$ .
Customer $2$ wants the items $3$ and $1$ .
$pos(3)=3$ , so the new positions are: $[3,5,1,4,2]$ .
$pos(1)=3$ , so the new positions are: $[1,3,5,4,2]$ .
Time taken for the second customer is $3+3=6$ .
Total time is $8+6=14$ .
Formally $pos(x)$ is the index of $x$ in the current row.
$pos(1)=3$ , so the new positions are: $[1,3,4,2,5]$ .
$pos(5)=5$ , so the new positions are: $[5,1,3,4,2]$ .
Time taken for the first customer is $3+5=8$ .
Customer $2$ wants the items $3$ and $1$ .
$pos(3)=3$ , so the new positions are: $[3,5,1,4,2]$ .
$pos(1)=3$ , so the new positions are: $[1,3,5,4,2]$ .
Time taken for the second customer is $3+3=6$ .
Total time is $8+6=14$ .
Formally $pos(x)$ is the index of $x$ in the current row.
C++ 编辑器
输入
输出
可保存默认模板;新题优先使用已保存模板。
当前快捷键仅展示,暂不支持修改。
- 撤销
Ctrl / ⌘ + Z - 重做
Ctrl / ⌘ + Y - 查找
Ctrl / ⌘ + F - 全选
Ctrl / ⌘ + A - 复制
Ctrl / ⌘ + C - 剪切
Ctrl / ⌘ + X - 粘贴
Ctrl / ⌘ + V - 自动排版
工具栏排版按钮 - 草稿保存
编辑时自动保存到本机
历史
提交记录
状态说明时间源码
AI
作答助手
你好,我是作答助手。可以问思路、复杂度、样例含义或代码报错原因;不会直接给出完整 AC 代码。
确定要清空代码吗?
提交通过
评测结果:Accepted