Key Set
Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 131072/131072 K (Java/Others)
Total Submission(s): 476 Accepted Submission(s): 251
Problem Description
Input
Output
Sample Input
Sample Output
Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 131072/131072 K (Java/Others)
Total Submission(s): 476 Accepted Submission(s): 251
Problem Description
soda has a set S with n integers {1,2,…,n}. A set is called key set if the sum of integers in the set is an even number. He wants to know how many nonempty subsets of S are key set.
Input
There are multiple test cases. The first line of input contains an integer T (1≤T≤105), indicating the number of test cases. For each test case:
The first line contains an integer n (1≤n≤109), the number of integers in the set.
Output
For each test case, output the number of key sets modulo 1000000007.
Sample Input
4 1 2 3 4
Sample Output
0 1 3 7
#include <iostream> #include <cstdio> #include <cstring> #include <cstdlib> #include <algorithm> using namespace std; #define mod 1000000007 long long ksm(int t,int n) { long long s=1; while(n>0) { if(n&2!=0) { n=n-1; s=s*t%mod; } t=t*t%mod; n=n/2; } return s; } int main() { int t; int n; cin>>t; while(t--) { cin>>n; cout<<ksm(2,n-1)-1<<endl; } }