Experimental Educational Round: VolBIT Formulas Blitz(J)打表找规律
2016-02-20 22:35
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J. Divisibility
time limit per test
0.5 seconds
memory limit per test
64 megabytes
input
standard input
output
standard output
IT City company developing computer games invented a new way to reward its employees. After a new game release users start buying it actively, and the company tracks the number of sales with precision to each transaction. Every time when the next number of
sales is divisible by all numbers from 2 to 10 every
developer of this game gets a small bonus.
A game designer Petya knows that the company is just about to release a new game that was partly developed by him. On the basis of his experience he predicts that n people
will buy the game during the first month. Now Petya wants to determine how many times he will get the bonus. Help him to know it.
Input
The only line of the input contains one integer n (1 ≤ n ≤ 1018)
— the prediction on the number of people who will buy the game.
Output
Output one integer showing how many numbers from 1 to n are
divisible by all numbers from 2 to 10.
Examples
input
output
题意:1-n中能整除2-10的数字个数
题解:很明显,数字太大不能枚举,那么打个表,发现周期是2520
time limit per test
0.5 seconds
memory limit per test
64 megabytes
input
standard input
output
standard output
IT City company developing computer games invented a new way to reward its employees. After a new game release users start buying it actively, and the company tracks the number of sales with precision to each transaction. Every time when the next number of
sales is divisible by all numbers from 2 to 10 every
developer of this game gets a small bonus.
A game designer Petya knows that the company is just about to release a new game that was partly developed by him. On the basis of his experience he predicts that n people
will buy the game during the first month. Now Petya wants to determine how many times he will get the bonus. Help him to know it.
Input
The only line of the input contains one integer n (1 ≤ n ≤ 1018)
— the prediction on the number of people who will buy the game.
Output
Output one integer showing how many numbers from 1 to n are
divisible by all numbers from 2 to 10.
Examples
input
3000
output
1
题意:1-n中能整除2-10的数字个数
题解:很明显,数字太大不能枚举,那么打个表,发现周期是2520
#include<iostream> #include<cstdio> #include<cstring> #include<algorithm> #include<vector> #include<set> #include<string> using namespace std; #define N 1000+5 typedef long long LL; int main() { #ifdef CDZSC freopen("i.txt","r",stdin); #endif LL n; cin>>n; printf("%lld\n",n/2520); return 0; }
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