#![allow(unused_imports, unused_macros)] use kyoproio::*; use std::{ collections::*, io::{self, prelude::*}, iter, mem::{replace, swap}, }; fn run(mut kin: I, mut out: O) { macro_rules! output { ($($args:expr),+) => { write!(&mut out, $($args),+).unwrap(); }; } macro_rules! outputln { ($($args:expr),+) => { output!($($args),+); outputln!(); }; () => { output!("\n"); if cfg!(debug_assertions) { out.flush().unwrap(); } } } use graph::Graph; let (n, m, q): (usize, usize, usize) = kin.input(); let mut s: Vec = Vec::with_capacity(n + 1); s.push(0); for _ in 0..n { let mut x = 0; for (i, c) in kin.bytes().iter().enumerate() { x |= (c & 1) << i; } s.push(x); } let mut g = Graph::builder(n + 1); for (u, v) in kin.iter::<(usize, usize)>().take(m) { g.edge(u, v); g.edge(v, u); } let g = g.build(); let mut uf = UnionFind::new(7 * (n + 1)); for u in 1..=n { for c in 0..7 { let d = (c + 1) % 7; if s[u] >> c & s[u] >> d & 1 == 1 { uf.unite(7 * u + c, 7 * u + d); } } for &v in &g[u] { for c in 0..7 { if s[u] >> c & s[v] >> c & 1 == 1 { uf.unite(7 * u + c, 7 * v + c); } } } } for (t, x, y) in kin.iter::<(u8, usize, usize)>().take(q) { if t == 1 { let u = x; let c = y - 1; s[u] |= 1 << c; for &d in &[(c + 1) % 7, (c + 6) % 7] { if s[u] >> d & 1 == 1 { uf.unite(7 * u + c, 7 * u + d); } } for &v in &g[u] { if s[v] >> c & 1 == 1 { uf.unite(7 * u + c, 7 * v + c); } } } else { outputln!("{}", uf.size(7 * x)); } } } pub struct UnionFind { p: Vec, } impl UnionFind { pub fn new(n: usize) -> Self { Self { p: vec![-1; n] } } pub fn root(&self, mut u: usize) -> usize { while self.p[u] >= 0 { u = self.p[u] as usize; } u } pub fn size(&self, u: usize) -> usize { (-self.p[self.root(u)]) as usize } pub fn unite(&mut self, u: usize, v: usize) -> bool { let mut u = self.root(u); let mut v = self.root(v); if u == v { return false; } if self.p[u] > self.p[v] { swap(&mut u, &mut v); } self.p[u] += self.p[v]; self.p[v] = u as isize; true } pub fn is_same(&self, u: usize, v: usize) -> bool { self.root(u) == self.root(v) } } pub mod graph { pub struct Graph(LabeledGraph<()>); impl Graph { pub fn builder(n: usize) -> GraphBuilder { GraphBuilder(LabeledGraph::builder(n)) } pub fn len(&self) -> usize { self.0.len() } } impl std::ops::Index for Graph { type Output = [usize]; fn index(&self, u: usize) -> &Self::Output { unsafe { std::mem::transmute(self.0.index(u)) } } } pub struct GraphBuilder(LabeledGraphBuilder<()>); impl GraphBuilder { pub fn edge(&mut self, u: usize, v: usize) { self.0.edge(u, v, ()); } pub fn build(&mut self) -> Graph { Graph(self.0.build()) } } pub struct LabeledGraph { edges: Box<[(usize, T)]>, heads: Box<[usize]>, } impl LabeledGraph { pub fn builder(n: usize) -> LabeledGraphBuilder { LabeledGraphBuilder { nodes: Vec::new(), heads: vec![!0; n], } } pub fn len(&self) -> usize { self.heads.len() - 1 } } impl std::ops::Index for LabeledGraph { type Output = [(usize, T)]; fn index(&self, u: usize) -> &Self::Output { &self.edges[self.heads[u]..self.heads[u + 1]] } } pub struct LabeledGraphBuilder { nodes: Vec<((usize, T), usize)>, heads: Vec, } impl LabeledGraphBuilder { pub fn edge(&mut self, u: usize, v: usize, l: T) { self.nodes.push(((v, l), self.heads[u])); self.heads[u] = self.nodes.len() - 1; } pub fn build(&mut self) -> LabeledGraph { let mut edges = Vec::with_capacity(self.nodes.len()); let mut heads = Vec::with_capacity(self.heads.len() + 1); for &(mut h) in &self.heads { heads.push(edges.len()); while let Some((e, next)) = self.nodes.get(h) { edges.push(e.clone()); h = *next; } } heads.push(edges.len()); LabeledGraph { edges: edges.into(), heads: heads.into(), } } } } // ----------------------------------------------------------------------------- fn main() -> io::Result<()> { std::thread::Builder::new() .stack_size(64 * 1024 * 1024) .spawn(|| { run( KInput::new(io::stdin().lock()), io::BufWriter::new(io::stdout().lock()), ) })? .join() .unwrap(); Ok(()) } // ----------------------------------------------------------------------------- pub mod kyoproio { use std::io::prelude::*; pub trait Input { fn bytes(&mut self) -> &[u8]; fn str(&mut self) -> &str { std::str::from_utf8(self.bytes()).unwrap() } fn input(&mut self) -> T { T::input(self) } fn iter(&mut self) -> Iter { Iter(self, std::marker::PhantomData) } fn seq>(&mut self, n: usize) -> B { self.iter().take(n).collect() } } pub struct KInput { src: R, buf: Vec, pos: usize, len: usize, } impl KInput { pub fn new(src: R) -> Self { Self { src, buf: vec![0; 1 << 16], pos: 0, len: 0, } } } impl Input for KInput { fn bytes(&mut self) -> &[u8] { loop { while let Some(delim) = self.buf[self.pos..self.len] .iter() .position(|b| b.is_ascii_whitespace()) { let range = self.pos..self.pos + delim; self.pos += delim + 1; if delim > 0 { return &self.buf[range]; } } if self.pos > 0 { self.buf.copy_within(self.pos..self.len, 0); self.len -= self.pos; self.pos = 0; } if self.len >= self.buf.len() { self.buf.resize(2 * self.buf.len(), 0); } let read = self.src.read(&mut self.buf[self.len..]).unwrap(); if read == 0 { let range = self.pos..self.len; self.pos = self.len; return &self.buf[range]; } self.len += read; } } } pub struct Iter<'a, T, I: ?Sized>(&'a mut I, std::marker::PhantomData<*const T>); impl<'a, T: InputParse, I: Input + ?Sized> Iterator for Iter<'a, T, I> { type Item = T; fn next(&mut self) -> Option { Some(self.0.input()) } } pub trait InputParse: Sized { fn input(src: &mut I) -> Self; } impl InputParse for Vec { fn input(src: &mut I) -> Self { src.bytes().to_owned() } } macro_rules! from_str_impl { { $($T:ty)* } => { $(impl InputParse for $T { fn input(src: &mut I) -> Self { src.str().parse::<$T>().unwrap() } })* } } from_str_impl! { String char bool f32 f64 } macro_rules! parse_int_impl { { $($I:ty: $U:ty)* } => { $(impl InputParse for $I { fn input(src: &mut I) -> Self { let f = |s: &[u8]| s.iter().fold(0, |x, b| 10 * x + (b & 0xf) as $I); let s = src.bytes(); if let Some((&b'-', t)) = s.split_first() { -f(t) } else { f(s) } } } impl InputParse for $U { fn input(src: &mut I) -> Self { src.bytes().iter().fold(0, |x, b| 10 * x + (b & 0xf) as $U) } })* }; } parse_int_impl! { isize:usize i8:u8 i16:u16 i32:u32 i64:u64 i128:u128 } macro_rules! tuple_impl { ($H:ident $($T:ident)*) => { impl<$H: InputParse, $($T: InputParse),*> InputParse for ($H, $($T),*) { fn input(src: &mut I) -> Self { ($H::input(src), $($T::input(src)),*) } } tuple_impl!($($T)*); }; () => {} } tuple_impl!(A B C D E F G); macro_rules! array_impl { { $($N:literal)* } => { $(impl InputParse for [T; $N] { fn input(src: &mut I) -> Self { let mut arr = std::mem::MaybeUninit::uninit(); unsafe { let ptr = arr.as_mut_ptr() as *mut T; for i in 0..$N { ptr.add(i).write(src.input()); } arr.assume_init() } } })* }; } array_impl! { 1 2 3 4 5 6 7 8 } #[macro_export] macro_rules! kdbg { ($($v:expr),*) => { if cfg!(debug_assertions) { dbg!($($v),*) } else { ($($v),*) } } } }