Geek likes binary Strings consisting of only ones and zeros . He particularly likes those Binary strings in which each prefix of the string have more 1's than 0's. He calls such a string as Lovely String.
Forexample: The String 110100 is Lovely, Because all of the prefixes of this string have more ones than zeroes. Now, Geek wants to know how many total Lovely strings of length 2*n are possible to form. Output the Answer modulo (1000000007).
The first line contains aninteger'T'-denoting the number of test cases.
Each of the next T lines containing an integer -'n'.
For each of thetestcases, Output the total number of distinct Lovely strings that can be formed of length 2*n.
111000 101100 101010 110010 110100 are the five Lovely Strings that can be formed of length 6.
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