Datasets:
Tasks:
Text Generation
Modalities:
Text
Formats:
json
Languages:
English
Size:
< 1K
ArXiv:
Tags:
competitive-programming
code-generation
specification-generation
proof-generation
verification
rust
License:
File size: 1,512 Bytes
b2a430f | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 | use vstd::prelude::*;
fn main() {}
verus! {
pub struct Solution;
pub open spec fn subarray_sum(s: Seq<i32>, i: int, j: int) -> int
decreases j - i + 1,
{
if i > j { 0 }
else { subarray_sum(s, i, j - 1) + s[j] as int }
}
pub open spec fn count_odd_ending(s: Seq<i32>, end_idx: int, k: int) -> int
decreases k + 1,
{
if k < 0 { 0 }
else {
count_odd_ending(s, end_idx, k - 1)
+ if subarray_sum(s, k, end_idx) % 2 != 0 { 1 as int } else { 0 as int }
}
}
pub open spec fn count_odd_subarrays(s: Seq<i32>, n: int) -> int
decreases n,
{
if n <= 0 { 0 }
else {
count_odd_subarrays(s, n - 1) + count_odd_ending(s, n - 1, n - 1)
}
}
impl Solution {
pub fn num_of_subarrays(arr: Vec<i32>) -> (res: i32)
requires
1 <= arr.len() <= 100_000,
forall |i: int| 0 <= i < arr.len() ==> 1 <= #[trigger] arr[i] <= 100,
ensures
0 <= res < 1_000_000_007,
res as int == count_odd_subarrays(arr@, arr.len() as int) % 1_000_000_007,
{
let mut odd: i64 = 0;
let mut even: i64 = 0;
let mut res: i64 = 0;
let mut i: usize = 0;
while i < arr.len() {
if arr[i] % 2 == 0 {
even = even + 1;
} else {
let tmp = odd;
odd = even + 1;
even = tmp;
}
res = (res + odd) % 1_000_000_007i64;
i = i + 1;
}
res as i32
}
}
}
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