D - Sum
Time Limit:1000MS Memory Limit:131072KB 64bit IO Format:%I64d
& %I64u
Submit Status
Description
Input
2
Output
2
Hint
1. For N = 2, S(1) = S(2) = 1.
2. The input file consists of multiple test cases.
Sample Input
2
Sample Output
2
Hint
1. For N = 2, S(1) = S(2) = 1.
2. The input file consists of multiple test cases.
思路:首先根据规律找出sum=2^(n-1),转化为求
2^(n-1)%mod利用费马小定理a^b%c=a^(b%(c-1))%c所以解决这个问题只需要两部1.用大数取余求得(N-1)%mod-12.用快速幂求得a^b%modac代码:#include
#include
#include
#define mod 1000000007
using namespace std;
char a[10000005];
long long quickmod(long long a, long long b)
{
long long ans=1;
while(b)
{
if(b&1)
{
ans=(ans*a)%mod;
}
b=b/2;
a=(a*a)%mod;
}
return ans;
}
int main()
{
long long sum,len;
while(gets(a))
{
len=strlen(a);
sum=0;
for(int i=0;i