原題目:
You are given the following information, but you may prefer to do some research for yourself.
- 1,Jan 1900 was a Monday.
- Thirty days has September,April, June and November.
All the rest have thirty-one,
Saving February alone,
Which has twenty-eight, rain or shine.And on leap years, twenty-nine. - A leap year occurs on any year evenly divisible by 4, but not on a century unless it is divisible by 400.
How many Sundays fell on the first of the month during the twentieth century (1 Jan 1901 to 31 Dec 2000)?
分析:
- 1900年一月1日為星期一;
- 一三五七八十臘是31天,其余除了二月,都是30天;
- 二月除了閏年都是28天,閏年29天,2000年雖然是世紀年,但是能被400整除,故也是閏年,
計算范圍是1901年一月1日到2000年十二月31日
sum=1;
a=[31 28 31 30 31 30 31 31 30 31 30 31];
b=0;
for year=1901:2000
for i=1:12
if mod(year,4)==0
a(2)=29;
end
sum=sum+a(i);
if mod(sum,7)==5
b=b+1;
end
end
end
b
最后輸出結果是171
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標籤:python
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