1375. Trinomial

单点时限: 2.0 sec

内存限制: 256 MB

Consider a trinomial (x2 + x + 1)n. We are interested in the coefficients ci of the expansion of this trinomial:

c0 + c1x + c2x2 + … + c2n x2n

For example, (x2 + x + 1)3 = 1 + 3x + 6x2 + 7x3 + 6x4 + 3x5 + x6.

Task

Write a program which:

reads from the standard input sets of data that comprise numbers n and i,

for each set of data computes ci modulo 3, where ci is the coefficient of xi in the expansion of the trinomial (x2 + x + 1)n,

for each set of data writes the computed number to the standard output.

输入格式

In the first line of the standard input there is one integer k denoting the number of the data sets, 1 <= k <= 10000. It is followed by k sets of data, one per line. Each set consists of two non-negative integers n and i separated by a single space, 0 <= n <= 1000000000000000, 0 <= i <= 2n.

输出格式

One should write k lines to the standard output. The j-th line ought to contain one non-negative integer being ci modulo 3 for the numbers from the j-th set.

样例

Input
5
2 0
7 4
4 5
5 3
8 15
Output
1
2
1
0
2

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创建: 17 年,3 月前.

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来源: POI

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