use std::cmp::{max, min};
macro_rules! input {
(from $iter:expr, $($r:tt)*) => {
input_inner!{$iter, $($r)*}
};
(source = $s:expr, $($r:tt)*) => {
let mut iter = $s.split_whitespace();
input_inner!{iter, $($r)*}
};
($($r:tt)*) => {
let s = {
use std::io::Read;
let mut s = String::new();
std::io::stdin().read_to_string(&mut s).unwrap();
s
};
let mut iter = s.split_whitespace();
input_inner!{iter, $($r)*}
};
}
macro_rules! input_inner {
($iter:expr) => {};
($iter:expr, ) => {};
($iter:expr, $var:ident : $t:tt $($r:tt)*) => {
let $var = read_value!($iter, $t);
input_inner!{$iter $($r)*}
};
}
macro_rules! read_value {
($iter:expr, ( $($t:tt),* )) => {
( $(read_value!($iter, $t)),* )
};
($iter:expr, [ $t:tt ; $len:expr ]) => {
(0..$len).map(|_| read_value!($iter, $t)).collect::<Vec<_>>()
};
($iter:expr, chars) => {
read_value!($iter, String).chars().collect::<Vec<char>>()
};
($iter:expr, usize1) => {
read_value!($iter, usize) - 1
};
($iter:expr, $t:ty) => {
$iter.next().unwrap().parse::<$t>().expect("Parse error")
};
}
fn get_primes(n: usize) -> Vec<usize> {
let mut primes = Vec::new();
let mut is_prime = vec![true; n + 1];
for i in 2..=n {
if is_prime[i] {
primes.push(i);
for j in (i * i..=n).step_by(i) {
is_prime[j] = false;
}
}
}
primes
}
fn get_prime_divisors(n: usize, primes: &[usize]) -> Vec<usize> {
let mut divisors = Vec::new();
for &prime in primes {
if n % prime == 0 {
divisors.push(prime);
}
}
divisors
}
fn get_divisors(n: usize, limit: usize) -> Vec<usize> {
let mut divisors = Vec::new();
for i in 2..=limit {
if n % i == 0 {
divisors.push(i);
}
}
divisors
}
fn check_width(a: &[usize], k: usize) -> bool {
let mut d = vec![0; a.len() + k + 1];
let mut current = 0;
// eprintln!("{a:?}");
for i in 0..a.len() + 1 {
// eprintln!("{k}: {i} {current} {d:?}");
current -= d[i];
let Some(to_remove) = a.get(i).unwrap_or(&0usize).checked_sub(current) else {
return false;
};
current += to_remove;
d[i + k] += to_remove;
}
// eprintln!("{k}: {current} {d:?}");
current == 0
}
fn main() {
input! {
n: usize,
a: [usize; n],
}
let sum = a.iter().sum();
// let primes = get_primes(n);
let mut divisors = get_divisors(sum, n);
// eprintln!("{sum}");
// eprintln!("{primes:?}");
// eprintln!("{}", primes.len());
// eprintln!("{divisors:?}");
divisors.sort();
let result = divisors
.iter()
.rev()
.find(|&&x| check_width(&a, x))
.unwrap_or(&1usize);
println!("{result}");
}
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 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 | use std::cmp::{max, min}; macro_rules! input { (from $iter:expr, $($r:tt)*) => { input_inner!{$iter, $($r)*} }; (source = $s:expr, $($r:tt)*) => { let mut iter = $s.split_whitespace(); input_inner!{iter, $($r)*} }; ($($r:tt)*) => { let s = { use std::io::Read; let mut s = String::new(); std::io::stdin().read_to_string(&mut s).unwrap(); s }; let mut iter = s.split_whitespace(); input_inner!{iter, $($r)*} }; } macro_rules! input_inner { ($iter:expr) => {}; ($iter:expr, ) => {}; ($iter:expr, $var:ident : $t:tt $($r:tt)*) => { let $var = read_value!($iter, $t); input_inner!{$iter $($r)*} }; } macro_rules! read_value { ($iter:expr, ( $($t:tt),* )) => { ( $(read_value!($iter, $t)),* ) }; ($iter:expr, [ $t:tt ; $len:expr ]) => { (0..$len).map(|_| read_value!($iter, $t)).collect::<Vec<_>>() }; ($iter:expr, chars) => { read_value!($iter, String).chars().collect::<Vec<char>>() }; ($iter:expr, usize1) => { read_value!($iter, usize) - 1 }; ($iter:expr, $t:ty) => { $iter.next().unwrap().parse::<$t>().expect("Parse error") }; } fn get_primes(n: usize) -> Vec<usize> { let mut primes = Vec::new(); let mut is_prime = vec![true; n + 1]; for i in 2..=n { if is_prime[i] { primes.push(i); for j in (i * i..=n).step_by(i) { is_prime[j] = false; } } } primes } fn get_prime_divisors(n: usize, primes: &[usize]) -> Vec<usize> { let mut divisors = Vec::new(); for &prime in primes { if n % prime == 0 { divisors.push(prime); } } divisors } fn get_divisors(n: usize, limit: usize) -> Vec<usize> { let mut divisors = Vec::new(); for i in 2..=limit { if n % i == 0 { divisors.push(i); } } divisors } fn check_width(a: &[usize], k: usize) -> bool { let mut d = vec![0; a.len() + k + 1]; let mut current = 0; // eprintln!("{a:?}"); for i in 0..a.len() + 1 { // eprintln!("{k}: {i} {current} {d:?}"); current -= d[i]; let Some(to_remove) = a.get(i).unwrap_or(&0usize).checked_sub(current) else { return false; }; current += to_remove; d[i + k] += to_remove; } // eprintln!("{k}: {current} {d:?}"); current == 0 } fn main() { input! { n: usize, a: [usize; n], } let sum = a.iter().sum(); // let primes = get_primes(n); let mut divisors = get_divisors(sum, n); // eprintln!("{sum}"); // eprintln!("{primes:?}"); // eprintln!("{}", primes.len()); // eprintln!("{divisors:?}"); divisors.sort(); let result = divisors .iter() .rev() .find(|&&x| check_width(&a, x)) .unwrap_or(&1usize); println!("{result}"); } |
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