CSES - Putka Open 2020 – 4/5 - Results
Submission details
Task:Ruudukko
Sender:Hennkka
Submission time:2020-11-08 14:04:10 +0200
Language:Rust
Status:READY
Result:5
Feedback
groupverdictscore
#1ACCEPTED5
#20
#30
#40
#50
Test results
testverdicttimegroup
#1ACCEPTED0.01 s1, 5details
#2--2, 5details
#3--3, 5details
#4--4, 5details
#5--5details
#6--5details
#7ACCEPTED0.01 s2, 5details
#8ACCEPTED0.01 s2, 5details
#9ACCEPTED0.01 s3, 5details
#10ACCEPTED0.02 s3, 5details
#11ACCEPTED0.38 s3, 5details
#12--3, 5details
#13ACCEPTED0.02 s4, 5details
#14--5details
#15--3, 5details
#16--5details

Compiler report

warning: unused import: `rand::prelude::*`
 --> input/code.rs:1:5
  |
1 | use rand::prelude::*;
  |     ^^^^^^^^^^^^^^^^
  |
  = note: `#[warn(unused_imports)]` on by default

warning: unreachable statement
   --> input/code.rs:118:5
    |
116 |       return brute_solve(h, w, y1, x1, y2, x2);
    |       ---------------------------------------- any code following this expression is unreachable
117 | 
118 | /     if y2 < y1 {
119 | |         return solve(h, w, h + 1 - y1, x1, h + 1 - y2, x2).map(flip_y);
120 | |     }
    | |_____^ unreachable statement
    |
    = note: `#[warn(unreachable_code)]` on by default

warning: value assigned to `y` is never read
   --> input/code.rs:188:13
    |
188 |             y += 1;
    |             ^
    |
    = note: `#[warn(unused_assignments)]` on by default
    = help: maybe it is overwritten before being read?

warning: value assigned to `y` is never read
   --> input/code.rs:191:13
    |
191 |             y -= 1;
    |             ^
    |
    =...

Code

use rand::prelude::*;
use std::collections::HashSet;
use std::io::BufRead;
fn flip_y(path: String) -> String {
path.chars()
.map(|c| match c {
'U' => 'D',
'D' => 'U',
c => c,
})
.collect()
}
fn flip_x(path: String) -> String {
path.chars()
.map(|c| match c {
'R' => 'L',
'L' => 'R',
c => c,
})
.collect()
}
fn reverse(path: String) -> String {
path.chars()
.rev()
.map(|c| match c {
'R' => 'L',
'L' => 'R',
'U' => 'D',
'D' => 'U',
c => c,
})
.collect()
}
fn swap_xy(path: String) -> String {
path.chars()
.map(|c| match c {
'R' => 'D',
'L' => 'U',
'U' => 'L',
'D' => 'R',
c => c,
})
.collect()
}
fn brute_solve(h: usize, w: usize, y1: usize, x1: usize, y2: usize, x2: usize) -> Option<String> {
// println!("brute_solve{:?}",(h, w, y1, x1, y2, x2) );
fn dfs(
h: usize,
w: usize,
y: usize,
x: usize,
y2: usize,
x2: usize,
d: usize,
visited: &mut Vec<bool>,
failing: &mut HashSet<(usize, usize, Vec<bool>)>,
) -> Option<String> {
// println!("{} {} {}",x,y,d);
if x < 1 || x > w || y < 1 || y > h {
return None;
}
if visited[x - 1 + (y - 1) * w] {
return None;
}
if d == 0 {
assert!(x == x2 && y == y2);
return Some("".to_string());
}
if x == x2 && y == y2 {
return None;
}
if !failing.insert((x, y, visited.clone())) {
return None;
}
visited[x - 1 + (y - 1) * w] = true;
if let Some(res) = dfs(h, w, y, x + 1, y2, x2, d - 1, visited, failing) {
return Some("R".to_string() + &res);
}
if let Some(res) = dfs(h, w, y + 1, x, y2, x2, d - 1, visited, failing) {
return Some("D".to_string() + &res);
}
if let Some(res) = dfs(h, w, y, x - 1, y2, x2, d - 1, visited, failing) {
return Some("L".to_string() + &res);
}
if let Some(res) = dfs(h, w, y - 1, x, y2, x2, d - 1, visited, failing) {
return Some("U".to_string() + &res);
}
visited[x - 1 + (y - 1) * w] = false;
None
}
dfs(
h,
w,
y1,
x1,
y2,
x2,
h * w - 1,
&mut vec![false; h * w],
&mut HashSet::new(),
)
}
fn solve(h: usize, w: usize, y1: usize, x1: usize, y2: usize, x2: usize) -> Option<String> {
assert!(1 <= x1 && x1 <= w);
assert!(1 <= x2 && x2 <= w);
assert!(1 <= y1 && y1 <= h);
assert!(1 <= y2 && y2 <= h);
return brute_solve(h, w, y1, x1, y2, x2);
if y2 < y1 {
return solve(h, w, h + 1 - y1, x1, h + 1 - y2, x2).map(flip_y);
}
if x2 < x1 {
return solve(h, w, y1, w + 1 - x1, y2, w + 1 - x2).map(flip_x);
}
if h == 1 {
if x1 == 1 && x2 == w {
Some("R".repeat(w - 1))
} else {
None
}
} else if h == 2 {
if y1 == 2 {
return solve(h, w, h + 1 - y1, x1, h + 1 - y2, x2).map(flip_y);
}
assert!(y1 == 1);
if x1 == x2 {
if x1 == 1 {
// Go right, down, and then back left
return Some(format!("{}D{}", "R".repeat(w - 1), "L".repeat(w - 1)));
} else if x1 == w {
// Go left, down, and then back right
return Some(format!("{}D{}", "L".repeat(w - 1), "R".repeat(w - 1)));
} else {
return None;
}
}
assert!(x1 < x2);
// Go first left until the left wall, then back, then fill the space in between, right and back left
let mut res = "".to_string();
let mut x = x1;
while x > 1 {
res.push('L');
x -= 1;
}
res.push('D');
while x < x1 {
res.push('R');
x += 1;
}
// Now we need to go up and down until we reach x2, hopefully on the other side
let mut y = 2;
while x + 1 < x2 {
res.push('R');
x += 1;
if y == 1 {
res.push('D');
y += 1;
} else {
res.push('U');
y -= 1;
}
}
// In next step we share x coordinate with x2
res.push('R');
x += 1;
if y == y2 {
// We hit end, this a failure because the other cell in this column is unvisited
return None;
}
// Now we just walk right until wall, go up or down, and then walk back to x2
while x < w {
res.push('R');
x += 1;
}
if y == 1 {
res.push('D');
y += 1;
} else {
res.push('U');
y -= 1;
}
while x > x2 {
res.push('L');
x -= 1;
}
assert!(res.len() == h * w - 1);
Some(res)
} else if h == 3 {
fn fill_left(h: usize, w: usize, y: usize) -> Option<(usize, String)> {
assert!(h == 3);
if y == 2 {
// println!("Reversing");
// If we have path from (2, w) to (1, w), then we also have the reverse path
let foo = fill_left(h, w, 1).filter(|(y, _)| *y == 2);
// println!("{:?}", foo);
foo.map(|(_, p)| (1, reverse(p)))
} else if y == 1 {
let y = if w % 2 == 0 { 2 } else { 3 };
let res = format!(
"{}D{}",
"L".repeat(w - 1),
solve(2, w, 1, 1, y - 1, w).unwrap()
);
Some((y, res))
} else {
assert_eq!(y, 3);
let y = if w % 2 == 0 { 2 } else { 1 };
let res = format!("{}U{}", "L".repeat(w - 1), solve(2, w, 2, 1, y, w).unwrap());
Some((y, res))
}
}
if w < 3 {
return solve(w, h, x1, y1, x2, y2).map(swap_xy);
}
// if y1 == 3 {
// return solve(h, w, h + 1 - y1, x1, h + 1 - y2, x2).map(flip_y);
// }
// assert!(y1 == 1 || y1 == 2);
if x1 != x2 {
fn combine_middle_part(
y1: usize,
x1: usize,
y2: usize,
x2: usize,
left: Option<(usize, String)>,
right: Option<(usize, String)>,
) -> Option<String> {
assert!(x1 < x2);
match (left, right) {
(Some((ly, lp)), Some((ry, rp))) => {
if x1 + 1 == x2 {
// They are next to each others, the y coordinates need to match, possibly after a flip
// println!("Next to each others");
if ly == ry {
Some(format!("{}R{}", lp, rp))
} else if ly == 4 - ry && (y1 == 2 || y2 == 2) {
// println!("Flipping");
if y1 == 2 {
Some(format!("{}R{}", flip_x(lp), rp))
} else {
assert!(y2 == 2);
Some(format!("{}R{}", lp, flip_y(rp)))
}
} else {
None
}
} else {
// Not next to each others
if ly == 2 || ry == 2 {
None
} else {
let suffix = if ly == ry { "UUR" } else { "" };
let midwidth = if ly == ry { x2 - x1 - 2 } else { x2 - x1 - 1 };
if midwidth == 0 {
None
} else {
let midres = format!(
"{}D{}D{}{}",
"R".repeat(midwidth),
"L".repeat(midwidth - 1),
"R".repeat(midwidth),
suffix
);
let midres = if ly < ry { midres } else { flip_y(midres) };
Some(format!("{}{}{}", lp, midres, rp))
}
}
}
}
_ => None,
}
}
// Solve both ends separately, then try to combine them in the middle
let left = fill_left(h, x1, y1);
let right = fill_left(h, w + 1 - x2, y2).map(|(y, p)| (y, flip_x(reverse(p))));
// println!("Left: {:?}", left);
// println!("Right: {:?}", right);
combine_middle_part(
y1,
x1,
y2,
x2,
fill_left(h, x1, y1),
fill_left(h, w + 1 - x2, y2).map(|(y, p)| (y, flip_x(reverse(p)))),
)
.or_else(|| {
if x1 == 1 && x2 >= 3 {
// Try to extend x1 one part to right
combine_middle_part(
y1,
x1 + 1,
y2,
x2,
solve(2, w, 1, y1, 2, 4 - y1).map(|p| (4 - y1, swap_xy(p))),
fill_left(h, w + 1 - x2, y2).map(|(y, p)| (y, flip_x(reverse(p)))),
)
} else {
None
}
})
} else {
// The endpoints are in the same column
if y1 == 2 || y2 == 2 {
// One of the endpoints is on the center row
if w % 2 == 1 {
// No solutions with odd number of columns
return None;
}
let rev = y2 != 2;
let (y1, y2) = if rev { (y2, y1) } else { (y1, y2) };
let fy = y1 != 1;
let y1 = 1;
assert!(y1 == 1);
assert!(y2 == 2);
let res = if x1 % 2 == 1 {
if x1 == 1 {
// We are at the left wall, fill the right side
Some(format!("R{}LU", flip_x(fill_left(h, w - 1, 1).unwrap().1)))
} else {
// Flip the board and retry
solve(h, w, y1, w + 1 - x1, y2, w + 1 - x2).map(flip_x)
}
} else {
// Odd number of columns to the left, go there, then zigzag
if x1 == w {
Some(format!("L{}RU", fill_left(h, x1 - 1, 1).unwrap().1))
} else {
Some(format!(
"L{}RR{}L",
fill_left(h, x1 - 1, 1).unwrap().1,
flip_x(fill_left(h, w - x1, 3).unwrap().1)
))
}
};
let res = if fy { res.map(flip_y) } else { res };
if rev {
res.map(reverse)
} else {
res
}
} else {
let fy = y1 != 1;
let y1 = 1;
let y2 = 3;
let res = if w % 2 == 0 || x1 % 2 != 1 {
// Solutions exist only for cases where x divides the width into two even-width parts
None
} else {
let left = if x1 == 1 {
"D".to_string()
} else {
format!("L{}R", fill_left(h, x1 - 1, 1).unwrap().1)
};
let right = if x1 == w {
"D".to_string()
} else {
reverse(format!("R{}L", flip_x(fill_left(h, w - x1, 3).unwrap().1)))
};
Some(format!("{}{}", left, right))
};
if fy {
res.map(flip_y)
} else {
res
}
}
}
} else {
unimplemented!()
}
}
fn main() {
let stdin = std::io::stdin();
let stdin = stdin.lock();
let mut lines = stdin.lines();
let t: usize = lines.next().unwrap().unwrap().parse().unwrap();
for _ in 0..t {
let input: Vec<usize> = lines
.next()
.unwrap()
.unwrap()
.split_whitespace()
.map(|v| v.parse().unwrap())
.collect();
if let Some(res) = solve(input[0], input[1], input[2], input[3], input[4], input[5]) {
println!("YES");
println!("{}", res);
} else {
println!("NO");
}
}
}
#[cfg(test)]
mod tests {
use super::*;
fn assert_solution(h: usize, w: usize, y1: usize, x1: usize, y2: usize, x2: usize, path: &str) {
let mut visited = vec![false; h * w];
let mut x = x1;
let mut y = y1;
visited[(x - 1) + (y - 1) * w] = true;
for c in path.chars() {
match c {
'U' => y -= 1,
'D' => y += 1,
'L' => x -= 1,
'R' => x += 1,
c => panic!("Invalid action '{}'", c),
}
assert!(
x >= 1 && x <= w && y >= 1 && y <= h,
"Solution {} walked out of bounds",
path
);
assert!(
!visited[(x - 1) + (y - 1) * w],
"Solution {} has already visited cell {}, {}",
path,
y,
x
);
visited[(x - 1) + (y - 1) * w] = true;
}
assert!(
visited.into_iter().all(std::convert::identity),
"Solution {} didn't visit all cells",
path
);
assert!((x, y) == (x2, y2));
}
fn assert_solvable(h: usize, w: usize, y1: usize, x1: usize, y2: usize, x2: usize) {
assert_solution(h, w, y1, x1, y2, x2, &solve(h, w, y1, x1, y2, x2).unwrap());
}
fn assert_solvable_perm(h: usize, w: usize, y1: usize, x1: usize, y2: usize, x2: usize) {
assert_solvable(h, w, y1, x1, y2, x2);
assert_solvable(h, w, y2, x2, y1, x1);
assert_solvable(w, h, x1, y1, x2, y2);
assert_solvable(w, h, x2, y2, x1, y1);
assert_solvable(h, w, h + 1 - y1, x1, h + 1 - y2, x2);
assert_solvable(h, w, h + 1 - y2, x2, h + 1 - y1, x1);
assert_solvable(w, h, w + 1 - x1, y1, w + 1 - x2, y2);
assert_solvable(w, h, w + 1 - x2, y2, w + 1 - x1, y1);
assert_solvable(h, w, y1, w + 1 - x1, y2, w + 1 - x2);
assert_solvable(h, w, y2, w + 1 - x2, y1, w + 1 - x1);
assert_solvable(w, h, x1, h + 1 - y1, x2, h + 1 - y2);
assert_solvable(w, h, x2, h + 1 - y2, x1, h + 1 - y1);
assert_solvable(h, w, h + 1 - y1, w + 1 - x1, h + 1 - y2, w + 1 - x2);
assert_solvable(h, w, h + 1 - y2, w + 1 - x2, h + 1 - y1, w + 1 - x1);
assert_solvable(w, h, w + 1 - x1, h + 1 - y1, w + 1 - x2, h + 1 - y2);
assert_solvable(w, h, w + 1 - x2, h + 1 - y2, w + 1 - x1, h + 1 - y1);
}
fn assert_unsolvable(h: usize, w: usize, y1: usize, x1: usize, y2: usize, x2: usize) {
assert!(solve(h, w, y1, x1, y2, x2).is_none());
}
fn assert_unsolvable_perm(h: usize, w: usize, y1: usize, x1: usize, y2: usize, x2: usize) {
assert_unsolvable(h, w, y1, x1, y2, x2);
assert_unsolvable(h, w, y2, x2, y1, x1);
assert_unsolvable(w, h, x1, y1, x2, y2);
assert_unsolvable(w, h, x2, y2, x1, y1);
assert_unsolvable(h, w, h + 1 - y1, x1, h + 1 - y2, x2);
assert_unsolvable(h, w, h + 1 - y2, x2, h + 1 - y1, x1);
assert_unsolvable(w, h, w + 1 - x1, y1, w + 1 - x2, y2);
assert_unsolvable(w, h, w + 1 - x2, y2, w + 1 - x1, y1);
assert_unsolvable(h, w, y1, w + 1 - x1, y2, w + 1 - x2);
assert_unsolvable(h, w, y2, w + 1 - x2, y1, w + 1 - x1);
assert_unsolvable(w, h, x1, h + 1 - y1, x2, h + 1 - y2);
assert_unsolvable(w, h, x2, h + 1 - y2, x1, h + 1 - y1);
assert_unsolvable(h, w, h + 1 - y1, w + 1 - x1, h + 1 - y2, w + 1 - x2);
assert_unsolvable(h, w, h + 1 - y2, w + 1 - x2, h + 1 - y1, w + 1 - x1);
assert_unsolvable(w, h, w + 1 - x1, h + 1 - y1, w + 1 - x2, h + 1 - y2);
assert_unsolvable(w, h, w + 1 - x2, h + 1 - y2, w + 1 - x1, h + 1 - y1);
}
#[test]
fn test_solve1() {
assert_solvable(1, 3, 1, 1, 1, 3);
assert_solvable(1, 3, 1, 3, 1, 1);
assert_unsolvable(1, 3, 1, 2, 1, 3);
}
#[test]
fn test_solve2() {
assert_unsolvable(2, 2, 1, 1, 2, 2);
assert_solvable(2, 2, 1, 1, 2, 1);
assert_solvable(2, 3, 1, 1, 2, 3);
assert_unsolvable(2, 3, 1, 1, 1, 3);
}
#[test]
fn foo() {
assert_solvable(3,20, 1, 1, 2, 1);
// assert_solvable_perm(3, 3, 1, 1, 2, 2);
}
#[test]
fn test_solve3() {
assert_solvable(3, 3, 1, 1, 3, 3);
assert_solvable(3, 4, 1, 2, 1, 3);
assert_solvable(3, 4, 1, 2, 3, 3);
assert_unsolvable(3, 3, 1, 2, 1, 3);
// Width 1
assert_solvable_perm(3, 1, 1, 1, 3, 1);
assert_solvable_perm(3, 1, 3, 1, 1, 1);
assert_unsolvable_perm(3, 1, 1, 1, 2, 1);
assert_unsolvable_perm(3, 1, 3, 1, 2, 1);
assert_unsolvable_perm(3, 1, 2, 1, 1, 1);
assert_unsolvable_perm(3, 1, 2, 1, 3, 1);
// Width 2
assert_solvable_perm(3, 2, 1, 1, 1, 2);
assert_solvable_perm(3, 2, 1, 1, 2, 1);
assert_solvable_perm(3, 2, 1, 1, 3, 2);
assert_unsolvable_perm(3, 2, 1, 1, 2, 2);
assert_unsolvable_perm(3, 2, 1, 1, 3, 1);
// Width 3
assert_solvable_perm(3, 3, 1, 1, 2, 2);
assert_solvable_perm(3, 3, 1, 1, 3, 3);
assert_solvable_perm(3, 3, 1, 1, 3, 1);
assert_solvable_perm(3, 3, 1, 1, 1, 3);
for y in 1..=3 {
for x in 1..=3 {
if x != 2 || y != 1 {
assert_unsolvable_perm(3, 3, 1, 2, y, x);
}
}
}
// assert_solvable(3, 2, 3, 1, 1, 1);
// Wider
for x in 1..=6 {
assert_solvable(3, 6, 1, x, 2, x);
assert_solvable(3, 6, 2, x, 1, x);
assert_solvable(3, 6, 2, x, 3, x);
assert_solvable(3, 6, 3, x, 2, x);
}
for x in 1..=7 {
if x % 2 == 1 {
assert_solvable(3, 7, 1, x, 3, x);
assert_solvable(3, 7, 3, x, 1, x);
} else {
assert_unsolvable(3, 7, 1, x, 3, x);
assert_unsolvable(3, 7, 3, x, 1, x);
}
}
// Other manual samples
assert_solvable(3, 6, 3, 2, 3, 3);
assert_solvable(3, 6, 1, 2, 1, 3);
assert_unsolvable(3, 6, 1, 2, 1, 4);
assert_unsolvable(3, 6, 1, 2, 1, 5);
assert_unsolvable(3, 6, 1, 2, 1, 6);
assert_solvable(3, 6, 1, 3, 1, 4);
assert_unsolvable(3, 6, 1, 3, 1, 5);
assert_solvable(3, 6, 1, 3, 1, 6);
assert_solvable(3, 6, 1, 4, 1, 5);
assert_unsolvable(3, 6, 1, 4, 1, 6);
assert_solvable(3, 6, 1, 5, 1, 6);
}
#[test]
fn test_against_brute() {
for w in 1..=6 {
for h in 1..=3 {
for x1 in 1..=w {
for y1 in 1..=h {
for x2 in 1..=w {
for y2 in 1..=h {
if x1 != x2 || y1 != y2 {
println!("Testing {:?}", (h, w, y1, x1, y2, x2));
let br = brute_solve(h, w, y1, x1, y2, x2);
let sr = solve(h, w, y1, x1, y2, x2);
if br.is_some() {
assert!(sr.is_some(), "Brute found solution for instance {:?}, but solve didn't", (h, w, y1, x1, y2, x2));
assert_solution(h, w, y1, x1, y2, x2, &sr.unwrap());
assert_solution(h, w, y1, x1, y2, x2, &br.unwrap());
} else {
assert!(sr.is_none(), "Brute didn't find a solution for instance {:?}, but solve did", (h, w, y1, x1, y2, x2));
}
}
}
}
}
}
}
}
}
}

Test details

Test 1

Group: 1, 5

Verdict: ACCEPTED

input
100
1 45 1 45 1 1
1 18 1 1 1 10
1 47 1 17 1 30
1 33 1 28 1 20
...

correct output
YES
LLLLLLLLLLLLLLLLLLLLLLLLLLLLLL...

user output
YES
LLLLLLLLLLLLLLLLLLLLLLLLLLLLLL...
Truncated

Test 2

Group: 2, 5

Verdict:

input
100
2 43 1 33 1 21
2 2 1 1 2 2
2 32 1 1 2 8
2 14 1 12 1 14
...

correct output
NO
NO
NO
NO
YES
...

user output
(empty)

Test 3

Group: 3, 5

Verdict:

input
100
3 4 2 1 2 4
3 38 2 24 1 22
3 29 2 23 2 3
3 8 3 1 1 2
...

correct output
NO
NO
NO
YES
RRRRRRRUULDLULDLULDLLUR
...

user output
(empty)

Test 4

Group: 4, 5

Verdict:

input
100
4 25 2 19 1 5
4 13 3 10 4 12
4 7 3 1 4 2
4 23 1 19 2 5
...

correct output
YES
DDRRRRRRULLLLLURRRRRULLLLLLLDD...

user output
(empty)

Test 5

Group: 5

Verdict:

input
100
16 8 13 1 14 8
41 21 19 11 32 12
46 17 13 7 6 11
8 41 4 32 4 12
...

correct output
NO
YES
LURULURULURULURULURRDDDDDDDDDR...

user output
(empty)

Test 6

Group: 5

Verdict:

input
100
31 38 18 35 31 37
35 48 7 13 21 21
46 21 25 2 4 19
35 2 13 2 35 1
...

correct output
YES
LLLLLLLLLLLLDRRRRRRRRRRRRDLLLL...

user output
(empty)

Test 7

Group: 2, 5

Verdict: ACCEPTED

input
100
2 4 1 3 1 4
2 4 2 2 1 1
2 4 2 3 1 2
2 4 2 3 1 4
...

correct output
YES
LLDRRRU
NO
NO
NO
...

user output
YES
LLDRRRU
NO
NO
NO
...
Truncated

Test 8

Group: 2, 5

Verdict: ACCEPTED

input
100
2 5 1 2 2 4
2 5 1 2 1 1
2 5 2 1 1 2
2 5 1 1 1 5
...

correct output
YES
LDRRURRDL
YES
RRRDLLLLU
NO
...

user output
YES
LDRRURRDL
YES
RRRDLLLLU
NO
...
Truncated

Test 9

Group: 3, 5

Verdict: ACCEPTED

input
100
3 4 1 1 2 3
3 4 2 4 3 2
3 4 2 1 3 1
3 4 1 4 3 4
...

correct output
YES
DDRRRUULLDR
NO
YES
URRRDDLULDL
...

user output
YES
RRRDDLLLURR
NO
YES
URRRDDLULDL
...
Truncated

Test 10

Group: 3, 5

Verdict: ACCEPTED

input
100
3 5 3 4 3 2
3 5 3 5 2 3
3 5 3 1 2 2
3 5 3 1 3 2
...

correct output
NO
NO
YES
UURRRRDDLULDLU
NO
...

user output
NO
NO
YES
RRRRUULDLULLDR
NO
...
Truncated

Test 11

Group: 3, 5

Verdict: ACCEPTED

input
100
3 8 2 8 1 2
3 8 2 4 1 7
3 8 3 4 2 7
3 8 2 5 3 1
...

correct output
NO
NO
NO
YES
LLLDRRRRURDRUULLLLLLLDD
...

user output
NO
NO
NO
YES
DRRRUULDLULLDDLLURULLDD
...
Truncated

Test 12

Group: 3, 5

Verdict:

input
100
3 9 1 3 2 9
3 9 1 6 1 5
3 9 3 6 2 8
3 9 3 2 3 4
...

correct output
NO
NO
NO
NO
NO
...

user output
(empty)

Test 13

Group: 4, 5

Verdict: ACCEPTED

input
100
4 4 2 2 1 4
4 4 4 1 2 2
4 4 2 1 4 3
4 4 3 1 3 3
...

correct output
YES
DDLUUURRDDDRUUU
YES
UUURRRDLDRDLLUU
NO
...

user output
YES
RRDDLULDLUUURRR
YES
RRRULLLUURRRDLL
NO
...
Truncated

Test 14

Group: 5

Verdict:

input
100
12 27 6 22 1 8
6 25 3 2 4 4
6 16 4 6 5 2
36 33 8 6 1 6
...

correct output
YES
DLDDDDDRUUUURDDDDRUURDDRRULURU...

user output
(empty)

Test 15

Group: 3, 5

Verdict:

input
100
3 12 3 5 1 4
3 20 3 19 2 19
3 34 3 9 2 9
3 38 2 15 3 15
...

correct output
YES
RRRRRRRUULDLULDLULDLULDLDLULDL...

user output
(empty)

Test 16

Group: 5

Verdict:

input
100
50 50 29 1 16 21
50 50 37 5 23 48
50 50 32 22 45 24
50 50 6 28 12 37
...

correct output
YES
DDDDDDDDDDDDDDDDDDDDDRUUUUUUUU...

user output
(empty)