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use vstd::prelude::*;
fn main() {}
verus! {
pub open spec fn valid_advantage(s: Seq<i64>, i: int, d: int) -> bool {
exists|j: int| {
&&& 0 <= j < s.len()
&&& j != i
&&& d == s[i] as int - s[j] as int
&&& forall|k: int| 0 <= k < s.len() && k != i ==> s[k] as int <= #[trigger] s[j] as int
}
}
pub struct Solution;
impl Solution {
pub fn advantages(s: Vec<i64>) -> (result: Vec<i64>)
requires
2 <= s.len() <= 200_000,
forall|i: int| 0 <= i < s.len() ==> 1 <= #[trigger] s[i] <= 1_000_000_000,
ensures
result.len() == s.len(),
forall|i: int| 0 <= i < s.len() ==> valid_advantage(s@, i, result[i] as int),
{
let n = s.len();
let mut max1: i64 = s[0];
let mut idx1: usize = 0;
let mut max2: i64 = s[1];
let mut idx2: usize = 1;
if max2 > max1 {
let tv = max1;
let ti = idx1;
max1 = max2;
idx1 = idx2;
max2 = tv;
idx2 = ti;
}
let mut t: usize = 2;
while t < n {
if s[t] > max1 {
max2 = max1;
idx2 = idx1;
max1 = s[t];
idx1 = t;
} else if s[t] > max2 {
max2 = s[t];
idx2 = t;
}
t = t + 1;
}
let mut result: Vec<i64> = Vec::with_capacity(n);
let mut i: usize = 0;
while i < n {
let best: i64;
if i == idx1 {
best = max2;
} else {
best = max1;
}
result.push(s[i] - best);
i = i + 1;
}
result
}
}
}