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:
| use vstd::prelude::*; | |
| fn main() {} | |
| verus! { | |
| pub struct Solution; | |
| impl Solution { | |
| pub open spec fn popcount(n: int) -> int | |
| decreases n, | |
| { | |
| if n <= 0 { 0 } else { (n % 2) + Self::popcount(n / 2) } | |
| } | |
| pub open spec fn bit_length(n: int) -> int | |
| decreases n, | |
| { | |
| if n <= 0 { 0 } else { 1 + Self::bit_length(n / 2) } | |
| } | |
| pub open spec fn sum_popcount(s: Seq<i32>, end: int) -> int | |
| decreases end, | |
| { | |
| if end <= 0 { 0 } else { Self::sum_popcount(s, end - 1) + Self::popcount(s[end - 1] as int) } | |
| } | |
| pub open spec fn max_bit_length(s: Seq<i32>, end: int) -> int | |
| decreases end, | |
| { | |
| if end <= 0 { | |
| 0 | |
| } else { | |
| let prev = Self::max_bit_length(s, end - 1); | |
| let curr = Self::bit_length(s[end - 1] as int); | |
| if curr > prev { curr } else { prev } | |
| } | |
| } | |
| pub fn min_operations(nums: Vec<i32>) -> (result: i32) | |
| requires | |
| 1 <= nums@.len() <= 100_000, | |
| forall |i: int| 0 <= i < nums@.len() ==> 0 <= nums@[i] <= 1_000_000_000, | |
| ensures | |
| result as int == Self::sum_popcount(nums@, nums@.len() as int) + | |
| if Self::max_bit_length(nums@, nums@.len() as int) > 0 { | |
| Self::max_bit_length(nums@, nums@.len() as int) - 1 | |
| } else { | |
| 0int | |
| }, | |
| { | |
| let mut ones: i32 = 0; | |
| let mut max_len: i32 = 0; | |
| let n = nums.len(); | |
| let mut i: usize = 0; | |
| while i < n { | |
| let mut val = nums[i]; | |
| let mut bits: i32 = 0; | |
| let mut len: i32 = 0; | |
| while val > 0 { | |
| if val % 2 == 1 { | |
| bits = bits + 1; | |
| } | |
| val = val / 2; | |
| len = len + 1; | |
| } | |
| ones = ones + bits; | |
| if len > max_len { | |
| max_len = len; | |
| } | |
| i = i + 1; | |
| } | |
| if max_len > 0 { | |
| ones + max_len - 1 | |
| } else { | |
| ones | |
| } | |
| } | |
| } | |
| } | |