2735: Jzzhu and Sequences
Time Limit: 2 Sec Memory Limit: 256 MBSubmit: 0 Solved: 0
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Description
time limit per test
1 secondmemory limit per test
256 megabytesinput
standard inputoutput
standard outputJzzhu has invented a kind of sequences, they meet the following property:
You are given x and y, please calculate fn modulo 1000000007 (109+7).
Input
The first line contains two integers x and y (|x|,|y|≤109). The second line contains a single integer n (1≤n≤2·109).
Output
Output a single integer representing fn modulo 1000000007 (109+7).
Examples
Input
2 3
3
Output
1
Input
0 -1
2
Output
1000000006
Note
In the first sample, f2=f1+f3, 3=2+f3, f3=1.
In the second sample, f2=-1; -1 modulo (109+7) equals (109+6).