#[doc = " https://github.com/hatoo/competitive-rust-snippets"] #[allow(unused_imports)] use std::cmp::{max, min, Ordering}; #[allow(unused_imports)] use std::collections::{BTreeMap, BTreeSet, BinaryHeap, HashMap, HashSet, VecDeque}; #[allow(unused_imports)] use std::io::{stdin, stdout, BufWriter, Write}; #[allow(unused_imports)] use std::iter::FromIterator; #[allow(unused_macros)] macro_rules ! debug { ( $ ( $ a : expr ) ,* ) => { eprintln ! ( concat ! ( $ ( stringify ! ( $ a ) , " = {:?}, " ) ,* ) , $ ( $ a ) ,* ) ; } } #[macro_export] macro_rules ! input { ( source = $ s : expr , $ ( $ r : tt ) * ) => { let mut parser = Parser :: from_str ( $ s ) ; input_inner ! { parser , $ ( $ r ) * } } ; ( parser = $ parser : ident , $ ( $ r : tt ) * ) => { input_inner ! { $ parser , $ ( $ r ) * } } ; ( new_stdin_parser = $ parser : ident , $ ( $ r : tt ) * ) => { let stdin = std :: io :: stdin ( ) ; let reader = std :: io :: BufReader :: new ( stdin . lock ( ) ) ; let mut $ parser = Parser :: new ( reader ) ; input_inner ! { $ parser , $ ( $ r ) * } } ; ( $ ( $ r : tt ) * ) => { input ! { new_stdin_parser = parser , $ ( $ r ) * } } ; } #[macro_export] macro_rules ! input_inner { ( $ parser : ident ) => { } ; ( $ parser : ident , ) => { } ; ( $ parser : ident , $ var : ident : $ t : tt $ ( $ r : tt ) * ) => { let $ var = read_value ! ( $ parser , $ t ) ; input_inner ! { $ parser $ ( $ r ) * } } ; } #[macro_export] macro_rules ! read_value { ( $ parser : ident , ( $ ( $ t : tt ) ,* ) ) => { ( $ ( read_value ! ( $ parser , $ t ) ) ,* ) } ; ( $ parser : ident , [ $ t : tt ; $ len : expr ] ) => { ( 0 ..$ len ) . map ( | _ | read_value ! ( $ parser , $ t ) ) . collect ::< Vec < _ >> ( ) } ; ( $ parser : ident , chars ) => { read_value ! ( $ parser , String ) . chars ( ) . collect ::< Vec < char >> ( ) } ; ( $ parser : ident , usize1 ) => { read_value ! ( $ parser , usize ) - 1 } ; ( $ parser : ident , $ t : ty ) => { $ parser . next ::<$ t > ( ) . expect ( "Parse error" ) } ; } use std::io; use std::io::BufRead; use std::str; pub struct Parser { reader: R, buf: Vec, pos: usize, } impl Parser { pub fn from_str(s: &str) -> Parser { Parser { reader: io::empty(), buf: s.as_bytes().to_vec(), pos: 0, } } } impl Parser { pub fn new(reader: R) -> Parser { Parser { reader: reader, buf: vec![], pos: 0, } } pub fn update_buf(&mut self) { self.buf.clear(); self.pos = 0; loop { let (len, complete) = { let buf2 = self.reader.fill_buf().unwrap(); self.buf.extend_from_slice(buf2); let len = buf2.len(); if len == 0 { break; } (len, buf2[len - 1] <= 0x20) }; self.reader.consume(len); if complete { break; } } } pub fn next(&mut self) -> Result { loop { let mut begin = self.pos; while begin < self.buf.len() && (self.buf[begin] <= 0x20) { begin += 1; } let mut end = begin; while end < self.buf.len() && (self.buf[end] > 0x20) { end += 1; } if begin != self.buf.len() { self.pos = end; return str::from_utf8(&self.buf[begin..end]).unwrap().parse::(); } else { self.update_buf(); } } } } #[allow(unused_macros)] macro_rules ! debug { ( $ ( $ a : expr ) ,* ) => { eprintln ! ( concat ! ( $ ( stringify ! ( $ a ) , " = {:?}, " ) ,* ) , $ ( $ a ) ,* ) ; } } #[doc = " https://github.com/hatoo/competitive-rust-snippets"] const BIG_STACK_SIZE: bool = true; #[allow(dead_code)] fn main() { use std::thread; if BIG_STACK_SIZE { thread::Builder::new() .stack_size(32 * 1024 * 1024) .name("solve".into()) .spawn(solve) .unwrap() .join() .unwrap(); } else { solve(); } } fn mat_mul(x: &[Vec], y: &[Vec], mo: i64) -> Vec> { vec![ vec![(x[0][0]*y[0][0]+x[0][1]*y[1][0]) % mo, (x[0][0]*y[0][1]+x[0][1]*y[1][1]) % mo], vec![(x[1][0]*y[0][0]+x[1][1]*y[1][0]) % mo, (x[1][0]*y[0][1]+x[1][1]*y[1][1]) % mo] ] } fn mat_add(x: &[Vec], y: &[Vec], mo: i64) -> Vec> { vec![ vec![(x[0][0]+y[0][0]) % mo, (x[0][1]+y[0][1]) % mo], vec![(x[0][1]+y[0][1]) % mo, (x[1][1]+y[1][1]) % mo], ] } fn mat_apply(x: &[Vec], y: &[i64], mo: i64) -> Vec { vec![ (x[0][0]*y[0]+x[0][1]*y[1]) % mo, (x[1][0]*y[0]+x[1][1]*y[1]) % mo ] } fn solve() { input!{ a:i64,b:i64,n:usize, } let mo = 1_000_000_007; if n==0 { println!("0"); return } if n==1 { println!("1"); return } let bd = bin_digits(n-1); let mut muls = vec![]; let mut acc = vec![ vec![a, b], vec![1, 0], ]; muls.push(acc.clone()); for i in 0..60 { acc = mat_mul(&acc, &acc, mo); muls.push(acc.clone()); } let mut acc = vec![ vec![1,0], vec![0,1], ]; for i in 0..bd.len() { if bd[i] { acc = mat_mul(&acc, &muls[i], mo); } } let res = mat_apply(&acc, &vec![1,0], mo); println!("{}",res[0]); } fn bin_digits(n: usize) -> Vec { if n == 0 { return vec![]; } let logN = (n as f64).log2().floor() as usize; let mut res = vec![false; logN + 1]; let mut n = n; for k in (0..logN + 1).rev() { if n >= 1 << k { res[k] = true; n -= (1 << k); } } res }