Summing SubsetsProblem code: RESN05 |
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Let G(S) denote the sum of the elements of set S and F(n) be the sum of G(s) for all subsets of the set consisting of the first n natural numbers. For example, F(3) = (1) + (2) + (3) + (1 + 2) + (1 + 3) + (2 + 3) + (1 + 2 + 3) = 24. Given n, calculate F(1) + F(2) + ... + F(n).
Input
The first line contains the number of test cases T (<= 1000). Each of the next T lines contains an integer n. (1 <= n <= 1000000000).
Output
Output T lines, one corresponding to each test case. Since the answers can get very big, output the answer modulo 8388608
Example
Input: 3 1 2 3 Output: 1 7 31
| Date: | 2009-12-18 |
| Time limit: | 5s |
| Source limit: | 50000 |
| Languages: | C C99 strict C++ 4.0.0-8 C++ 4.3.2 PAS gpc PAS fpc JAVA NICE JAR C# C#2 NEM ST ASM D FORT ADA BASH PERL PYTH RUBY LUA ICON PIKE PHP SCM guile SCM qobi LISP sbcl LISP clisp SCALA HASK ERL CAML CLPS PRLG WSPC BF ICK JS |
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