Problem 28 Number spiral diagonals (规律题)
2016-10-29 02:08
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Number spiral diagonals
Problem 28
Starting with the number 1 and moving to the right in a clockwise direction a 5 by 5 spiral is formed as follows:21 22 23 24 25
20 7 8 9 10
19 6 1 2 11
18 5 4 3 12
17 16 15 14 13
It can be verified that the sum of the numbers on the diagonals is 101.
What is the sum of the numbers on the diagonals in a 1001 by 1001 spiral formed in the same way?
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代码:
#include<bits/stdc++.h>
using namespace std;
int main()
{
long long ans=1;
int count=0;
int k=2;
for(int i=3;i<=1001*1001;i+=k)
{
//cout<<i<<endl;
ans+=i;
count++;
if(count==4)
{
k+=2;
count=0;
}
}
cout<<ans<<endl;
return 0;
}
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