# 50048. Count the days

## I'm a slow walker, but I never walk backwards.

Write a function count_day to determine the numbers of each day of the week in a particular month.

Given a year, the day of January 1st of that year, and a month, calculate the numbers of Sundays, Mondays, … , Saturdays in that given month. You need to place the results into an array $\textit{results}\lbrack ]$. We use a number from 0 to 6 to represent the day of the week from Sunday to Saturday. For example, 0 means Sunday and 5 means Friday.

Let us illustrate the task with an example. If we are given the year of 2016, February, and the fact that January 1st is a Friday, we need to determine the numbers of each day of the week for February 2016. The answers are that there are 4 Sundays, 5 Mondays, 4 Tuesdays, 4 Wednesdays, 4 Thursdays, 4 Fridays, 4 Saturdays in February 2016. Your program should put the following results in the array $results\lbrack ]$ as follows.

results results results results results results results
4 5 4 4 4 4 4

Note that the given year could be a leap year. A year is a leap year if it is divisible by 400, or it is divisible by 4 but not by 100.

The prototype of count_day is as follows:

1void count_day(int year, int day, int month, int results);


The main program is as follows:

1234567891011121314151617#include <stdio.h>#include <stdlib.h>#include "count_day.h" int main(){    int year, day, month, results = {0}, i;     while(scanf("%d %d %d", &year, &day, &month) == 3){        for(i = 0; i < 7; i++)            results[i] = 0;        count_day(year, day, month, results);        for(i = 0; i < 6; i++)            printf("%d ", results[i]);        printf("%d\n", results[i]);    }    return 0;}


The header file count_day.h is as follows:

1234#ifndef COUNTDAY_H_INCLUDED#define COUNTDAY_H_INCLUDEDvoid count_day(int, int, int, int );#endif


## Input Format

The input contains multiple test cases. Each line of input contains three integers $year, day, month$ ($0 \lt year \lt 10000$, $0 \leq day \leq 6$, $1 \leq month \leq 12$).

## Output Format

There are multiple lines in the output. Each line contains 7 integers that represent the numbers of each day of the week in the particular month.

## Sample Input

122016 5 22015 4 2


## Sample Output

124 5 4 4 4 4 44 4 4 4 4 4 4


## Compile

gcc -std=c99 -O2 -c main.c -lmgcc -std=c99 -O2 -c count_day.c -lmgcc -std=c99 -O2 count_day.o main.o -lm