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use vstd::prelude::*;
fn main() {}
verus! {
pub struct Solution;
impl Solution {
pub fn vlad_beautiful(a: Vec<u32>, n: usize) -> (result: bool)
requires
1 <= n <= 200_000,
a.len() == n,
forall|i: int| 0 <= i < a.len() ==> 1 <= #[trigger] a[i] <= 1_000_000_000,
ensures
result == (
(forall|i: int| 0 <= i < a.len() ==> #[trigger] a[i] % 2 == 1)
||
(forall|i: int| 0 <= i < a.len() ==> #[trigger] a[i] % 2 == 0)
||
(exists|j: int| 0 <= j < a.len() && #[trigger] a[j] % 2 == 1 &&
(forall|i: int| 0 <= i < a.len() && a[i] % 2 == 0 ==> #[trigger] a[i] > a[j]))
),
{
let mut min_even: u64 = u64::MAX;
let mut min_odd: u64 = u64::MAX;
let mut min_even_idx: usize = 0;
let mut min_odd_idx: usize = 0;
let mut i: usize = 0;
while i < n {
let v = a[i] as u64;
if a[i] % 2 == 0 {
if v < min_even {
min_even = v;
min_even_idx = i;
}
} else {
if v < min_odd {
min_odd = v;
min_odd_idx = i;
}
}
i += 1;
}
if min_even == u64::MAX {
true
} else if min_odd == u64::MAX {
true
} else {
let res = min_odd < min_even;
res
}
}
}
}