A. Petr and a calendar

Codeforces

IDCF760A

Time2000ms

Memory256MB

Difficulty—

implementationmath

English · Original

Chinese · Translation

Formal · Original

Petr wants to make a calendar for current month. For this purpose he draws a table in which columns correspond to weeks (a week is seven consequent days from Monday to Sunday), rows correspond to weekdays, and cells contain dates. For example, a calendar for January 2017 should look like on the picture: <center>![image](https://espresso.codeforces.com/489b3cfc33d183f898ec6c5dbd5bfc38dffc297c.png)</center>Petr wants to know how many columns his table should have given the month and the weekday of the first date of that month? Assume that the year is non-leap. ## Input The only line contain two integers _m_ and _d_ (1 ≤ _m_ ≤ 12, 1 ≤ _d_ ≤ 7) — the number of month (January is the first month, December is the twelfth) and the weekday of the first date of this month (1 is Monday, 7 is Sunday). ## Output Print single integer: the number of columns the table should have. [samples] ## Note The first example corresponds to the January 2017 shown on the picture in the statements. In the second example 1\-st January is Monday, so the whole month fits into 5 columns. In the third example 1\-st November is Saturday and 5 columns is enough.

Petr 想要为当前月份制作一个日历。为此，他画了一个表格，其中列对应周（一周为从周一到周日的连续七天），行对应星期几，单元格包含日期。例如，2017年1月的日历应如下图所示： Petr 想要知道，给定月份和该月第一天的星期几，他的表格应该有多少列？假设该年为平年。仅一行包含两个整数 $m$ 和 $d$（$1 ≤ m ≤ 12$，$1 ≤ d ≤ 7$）—— 月份编号（一月为第一个月，十二月为第十二个月）和该月第一天的星期几（$1$ 表示周一，$7$ 表示周日）。输出一个整数：表格应具有的列数。第一个示例对应于题面图中所示的2017年1月。在第二个示例中，1月1日是星期一，因此整个月份只需 $5$ 列即可容纳。在第三个示例中，11月1日是星期六，$5$ 列已足够。 ## Input 仅一行包含两个整数 $m$ 和 $d$（$1 ≤ m ≤ 12$，$1 ≤ d ≤ 7$）—— 月份编号（一月为第一个月，十二月为第十二个月）和该月第一天的星期几（$1$ 表示周一，$7$ 表示周日）。 ## Output 输出一个整数：表格应具有的列数。 [samples] ## Note 第一个示例对应于题面图中所示的2017年1月。在第二个示例中，1月1日是星期一，因此整个月份只需 $5$ 列即可容纳。在第三个示例中，11月1日是星期六，$5$ 列已足够。

**Definitions** Let $ m \in \{1, \dots, 12\} $ be the month number. Let $ d \in \{1, \dots, 7\} $ be the weekday of the first day of the month ($1 =$ Monday, $7 =$ Sunday). Let $ N(m) $ be the number of days in month $ m $, defined as: $$ N(m) = \begin{cases} 31 & \text{if } m \in \{1, 3, 5, 7, 8, 10, 12\} \\ 30 & \text{if } m \in \{4, 6, 9, 11\} \\ 28 & \text{if } m = 2 \end{cases} $$ **Constraints** $ 1 \leq m \leq 12 $, $ 1 \leq d \leq 7 $ **Objective** Compute the number of columns (weeks) required to display the calendar: $$ \left\lceil \frac{N(m) + d - 1}{7} \right\rceil $$

Samples

Input #1

1 7

Output #1

Input #2

1 1

Output #2

Input #3

11 6

Output #3

API Response (JSON)

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  "problem": {
    "name": "A. Petr and a calendar",
    "description": {
      "content": "Petr wants to make a calendar for current month. For this purpose he draws a table in which columns correspond to weeks (a week is seven consequent days from Monday to Sunday), rows correspond to week",
      "description_type": "Markdown"
    },
    "platform": "Codeforces",
    "limit": {
      "time_limit": 2000,
      "memory_limit": 262144
    },
    "difficulty": "None",
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    "is_sync": true,
    "sync_url": null,
    "sign": "CF760A"
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      "statement_type": "Markdown",
      "content": "Petr wants to make a calendar for current month. For this purpose he draws a table in which columns correspond to weeks (a week is seven consequent days from Monday to Sunday), rows correspond to week...",
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    {
      "statement_type": "Markdown",
      "content": "Petr 想要为当前月份制作一个日历。为此，他画了一个表格，其中列对应周（一周为从周一到周日的连续七天），行对应星期几，单元格包含日期。例如，2017年1月的日历应如下图所示：\n\nPetr 想要知道，给定月份和该月第一天的星期几，他的表格应该有多少列？假设该年为平年。\n\n仅一行包含两个整数 $m$ 和 $d$（$1 ≤ m ≤ 12$，$1 ≤ d ≤ 7$）—— 月份编号（一月为第一个月，十二月...",
      "is_translate": true,
      "language": "Chinese"
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    {
      "statement_type": "Markdown",
      "content": "**Definitions**  \nLet $ m \\in \\{1, \\dots, 12\\} $ be the month number.  \nLet $ d \\in \\{1, \\dots, 7\\} $ be the weekday of the first day of the month ($1 =$ Monday, $7 =$ Sunday).  \nLet $ N(m) $ be the n...",
      "is_translate": false,
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