#![allow(non_snake_case, unused_imports, unused_must_use)] use std::io::{self, prelude::*}; use std::str; fn main() { let (stdin, stdout) = (io::stdin(), io::stdout()); let mut scan = Scanner::new(stdin.lock()); let mut out = io::BufWriter::new(stdout.lock()); macro_rules! input { ($T: ty) => { scan.token::<$T>() }; ($T: ty, $N: expr) => { (0..$N).map(|_| scan.token::<$T>()).collect::>() }; } let N = input!(usize); let M = input!(usize); let A = input!(isize, N); let mut edges = vec![]; for _ in 0..M { let a = input!(usize) - 1; let b = input!(usize) - 1; let c = input!(isize); edges.push((a, b, c - A[a])); } let ans = bellman_ford_algorithm(N, &edges, 0); if let Some(dist) = ans { writeln!(out, "{}", -dist[N - 1].unwrap() + A[N - 1]); } else { writeln!(out, "inf"); } } pub fn bellman_ford_algorithm< W: Sized + std::ops::Add + PartialOrd + Ord + Default + Clone + Copy, >( size: usize, directed_edges: &[(usize, usize, W)], start: usize, ) -> Option>> { assert!(start < size); let mut dist = vec![None; size]; dist[start] = Some(W::default()); for _ in 0..directed_edges.len() { for &(u, v, w) in directed_edges.iter() { let dv = dist[v]; let du = dist[u]; if let Some(du) = du { if let Some(dv) = dv { if dv > du + w { dist[v] = Some(du + w); } } else { dist[v] = Some(du + w); } } } } let dist_prev = dist.clone(); for _ in 0..directed_edges.len() { for &(u, v, w) in directed_edges.iter() { let dv = dist[v]; let du = dist[u]; if let Some(du) = du { if let Some(dv) = dv { if dv > du + w { dist[v] = Some(du + w); } } else { dist[v] = Some(du + w); } } } } // 経路復元しながら頑張る? let mut now = size - 1; let mut graph = vec![vec![]; size]; for &(u, v, w) in directed_edges { graph[v].push((u, w)); } while now != start { let prev = now; for &(nxt, weight) in graph[now].iter() { if dist[now].is_some() && dist[nxt].is_some() && dist_prev[nxt] == dist[nxt] && dist_prev[now] == dist[now] { let d1 = dist[now].unwrap(); let d2 = dist[nxt].unwrap(); if d1 == d2 + weight { now = nxt; break; } } } if prev == now { return None; } } return Some(dist); } struct Scanner { reader: R, buf_str: Vec, buf_iter: str::SplitWhitespace<'static>, } impl Scanner { fn new(reader: R) -> Self { Self { reader, buf_str: vec![], buf_iter: "".split_whitespace(), } } fn token(&mut self) -> T { loop { if let Some(token) = self.buf_iter.next() { return token.parse().ok().expect("Failed parse"); } self.buf_str.clear(); self.reader .read_until(b'\n', &mut self.buf_str) .expect("Failed read"); self.buf_iter = unsafe { let slice = str::from_utf8_unchecked(&self.buf_str); std::mem::transmute(slice.split_whitespace()) } } } }