1.5 seconds
256 megabytes
standard input
standard output
Dreamoon loves summing up something for no reason. One day he obtains two integers a and b occasionally.
He wants to calculate the sum of all nice integers. Positive integer x is
called nice if and ,
where k is some integer number in range[1, a].
By we
denote the quotient of integer division of x and y.
By we
denote the remainder of integer division of x andy.
You can read more about these operations here: http://goo.gl/AcsXhT.
The answer may be large, so please print its remainder modulo 1 000 000 007 (109 + 7).
Can you compute it faster than Dreamoon?
The single line of the input contains two integers a, b (1 ≤ a, b ≤ 107).
Print a single integer representing the answer modulo 1 000 000 007 (109 + 7).
1 1
0
2 2
8
For the first sample, there are no nice integers because is
always zero.
For the second sample, the set of nice integers is {3, 5}.
题解:这一题能够将题目中的那个东西化简,最后变成x=(k*b+1)*(x mod b)他要求全部x的和,由于k是1~a,x mod b是1~b-1,所以我们能够直接把这个结果算出来。简单的求和就可以。
#include <iostream>
#include <cstring>
#include <cstdio> using namespace std; long long a,b; int main()
{
scanf("%I64d%I64d",&a,&b);
long long c=((b-1)*b/2)%1000000007,d=((b*(a*(a+1)/2%1000000007)+a)%1000000007);
long long ans=(c*d)%1000000007;
printf("%I64d\n",ans%1000000007);
return 0;
}