use std::io::{self, BufRead, Write};
use std::cmp::max;
fn main() {
let stdin = io::stdin();
let mut lines = stdin.lock().lines().map(|l| l.unwrap());
let first_line = match lines.next() {
Some(l) => l,
None => return,
};
let parts: Vec<&str> = first_line.split_whitespace().collect();
let n: usize = parts[0].parse().unwrap();
let q: usize = parts[1].parse().unwrap();
let b_limit = 25000.min(n);
let split_k = 1000.min(b_limit);
let mut score_starts = vec![0usize; b_limit + 2];
let mut current_start = 0;
for k in 2..=b_limit {
score_starts[k] = current_start;
current_start += k;
}
let mut score_small = vec![0u32; score_starts[split_k] + split_k + 1];
let mut score_large = vec![0u16; current_start + 1];
let mut freq_starts = vec![0usize; b_limit + 2];
let mut curr_freq_start = 0;
for k in 2..=b_limit {
freq_starts[k] = curr_freq_start;
curr_freq_start += (n / k) + 2;
}
let mut freq = vec![0u16; curr_freq_start];
for k in 2..=b_limit {
freq[freq_starts[k]] = k as u16;
}
let mut max_score = vec![0u32; b_limit + 1];
let mut freq_global_max = vec![0u32; 100005];
freq_global_max[0] = (b_limit - 1) as u32;
let mut global_max_small = 0u32;
let mut has = vec![false; n + 1];
let mut active: Vec<usize> = Vec::with_capacity(q);
let mut ans = 0u32;
let mut stdout = io::BufWriter::new(io::stdout());
for line in lines {
if line.trim().is_empty() { continue; }
let x: usize = line.trim().parse().unwrap();
let add = !has[x];
if add {
has[x] = true;
active.push(x);
} else {
has[x] = false;
if let Some(pos) = active.iter().position(|&val| val == x) {
active.swap_remove(pos);
}
}
let mut k = 2;
while k <= b_limit {
if k > x {
let s = x;
while k <= b_limit {
let idx = score_starts[k] + s;
let mut c = if k <= split_k { score_small[idx] } else { score_large[idx] as u32 };
freq[freq_starts[k] + c as usize] -= 1;
if add { c += 1; } else { c -= 1; }
freq[freq_starts[k] + c as usize] += 1;
if k <= split_k { score_small[idx] = c; } else { score_large[idx] = c as u16; }
if add {
if c > max_score[k] {
freq_global_max[max_score[k] as usize] -= 1;
max_score[k] = c;
freq_global_max[c as usize] += 1;
if c > global_max_small { global_max_small = c; }
}
} else {
if max_score[k] == c + 1 && freq[freq_starts[k] + (c + 1) as usize] == 0 {
freq_global_max[max_score[k] as usize] -= 1;
max_score[k] = c;
freq_global_max[c as usize] += 1;
while global_max_small > 0 && freq_global_max[global_max_small as usize] == 0 {
global_max_small -= 1;
}
}
}
k += 1;
}
break;
}
let q_val = x / k;
let next_k = (x / q_val).min(b_limit);
let mut s = x - q_val * k;
while k <= next_k {
let idx = score_starts[k] + s;
let mut c = if k <= split_k { score_small[idx] } else { score_large[idx] as u32 };
freq[freq_starts[k] + c as usize] -= 1;
if add { c += 1; } else { c -= 1; }
freq[freq_starts[k] + c as usize] += 1;
if k <= split_k { score_small[idx] = c; } else { score_large[idx] = c as u16; }
if add {
if c > max_score[k] {
freq_global_max[max_score[k] as usize] -= 1;
max_score[k] = c;
freq_global_max[c as usize] += 1;
if c > global_max_small { global_max_small = c; }
}
} else {
if max_score[k] == c + 1 && freq[freq_starts[k] + (c + 1) as usize] == 0 {
freq_global_max[max_score[k] as usize] -= 1;
max_score[k] = c;
freq_global_max[c as usize] += 1;
while global_max_small > 0 && freq_global_max[global_max_small as usize] == 0 {
global_max_small -= 1;
}
}
}
s -= q_val;
k += 1;
}
}
if add {
if global_max_small > ans { ans = global_max_small; }
for &y in &active {
if x == y { continue; }
let d = x.abs_diff(y);
if d <= b_limit { continue; }
let max_c = d / (b_limit + 1);
for c in 1..=max_c {
if d % c == 0 {
let k_val = d / c;
if k_val > b_limit && k_val <= n / max(1, ans as usize) {
let mut count = 1;
let mut curr = x + k_val;
while curr <= n {
if has[curr] { count += 1; }
curr += k_val;
}
let mut curr_back = if x > k_val { x - k_val } else { 0 };
while curr_back >= 1 {
if has[curr_back] { count += 1; }
curr_back = if curr_back > k_val { curr_back - k_val } else { 0 };
}
if count > ans { ans = count; }
}
}
}
}
} else {
if ans > global_max_small {
let mut found = false;
for i in 0..active.len() {
let u = active[i];
for j in (i + 1)..active.len() {
let v = active[j];
let d = u.abs_diff(v);
if d <= b_limit { continue; }
let max_c = d / (b_limit + 1);
for c in 1..=max_c {
if d % c == 0 {
let k_val = d / c;
if k_val > b_limit && k_val <= n / (ans as usize - 1) {
let mut count = 1;
let mut curr = u + k_val;
while curr <= n {
if has[curr] { count += 1; }
curr += k_val;
}
let mut curr_back = if u > k_val { u - k_val } else { 0 };
while curr_back >= 1 {
if has[curr_back] { count += 1; }
curr_back = if curr_back > k_val { curr_back - k_val } else { 0 };
}
if count >= ans {
found = true;
break;
}
}
}
}
if found { break; }
}
if found { break; }
}
if !found { ans -= 1; }
} else {
ans = global_max_small;
}
}
if active.is_empty() { ans = 0; }
else if ans == 0 { ans = 1; }
let _ = writeln!(stdout, "{}", ans);
}
}
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 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 | use std::io::{self, BufRead, Write}; use std::cmp::max; fn main() { let stdin = io::stdin(); let mut lines = stdin.lock().lines().map(|l| l.unwrap()); let first_line = match lines.next() { Some(l) => l, None => return, }; let parts: Vec<&str> = first_line.split_whitespace().collect(); let n: usize = parts[0].parse().unwrap(); let q: usize = parts[1].parse().unwrap(); let b_limit = 25000.min(n); let split_k = 1000.min(b_limit); let mut score_starts = vec![0usize; b_limit + 2]; let mut current_start = 0; for k in 2..=b_limit { score_starts[k] = current_start; current_start += k; } let mut score_small = vec![0u32; score_starts[split_k] + split_k + 1]; let mut score_large = vec![0u16; current_start + 1]; let mut freq_starts = vec![0usize; b_limit + 2]; let mut curr_freq_start = 0; for k in 2..=b_limit { freq_starts[k] = curr_freq_start; curr_freq_start += (n / k) + 2; } let mut freq = vec![0u16; curr_freq_start]; for k in 2..=b_limit { freq[freq_starts[k]] = k as u16; } let mut max_score = vec![0u32; b_limit + 1]; let mut freq_global_max = vec![0u32; 100005]; freq_global_max[0] = (b_limit - 1) as u32; let mut global_max_small = 0u32; let mut has = vec![false; n + 1]; let mut active: Vec<usize> = Vec::with_capacity(q); let mut ans = 0u32; let mut stdout = io::BufWriter::new(io::stdout()); for line in lines { if line.trim().is_empty() { continue; } let x: usize = line.trim().parse().unwrap(); let add = !has[x]; if add { has[x] = true; active.push(x); } else { has[x] = false; if let Some(pos) = active.iter().position(|&val| val == x) { active.swap_remove(pos); } } let mut k = 2; while k <= b_limit { if k > x { let s = x; while k <= b_limit { let idx = score_starts[k] + s; let mut c = if k <= split_k { score_small[idx] } else { score_large[idx] as u32 }; freq[freq_starts[k] + c as usize] -= 1; if add { c += 1; } else { c -= 1; } freq[freq_starts[k] + c as usize] += 1; if k <= split_k { score_small[idx] = c; } else { score_large[idx] = c as u16; } if add { if c > max_score[k] { freq_global_max[max_score[k] as usize] -= 1; max_score[k] = c; freq_global_max[c as usize] += 1; if c > global_max_small { global_max_small = c; } } } else { if max_score[k] == c + 1 && freq[freq_starts[k] + (c + 1) as usize] == 0 { freq_global_max[max_score[k] as usize] -= 1; max_score[k] = c; freq_global_max[c as usize] += 1; while global_max_small > 0 && freq_global_max[global_max_small as usize] == 0 { global_max_small -= 1; } } } k += 1; } break; } let q_val = x / k; let next_k = (x / q_val).min(b_limit); let mut s = x - q_val * k; while k <= next_k { let idx = score_starts[k] + s; let mut c = if k <= split_k { score_small[idx] } else { score_large[idx] as u32 }; freq[freq_starts[k] + c as usize] -= 1; if add { c += 1; } else { c -= 1; } freq[freq_starts[k] + c as usize] += 1; if k <= split_k { score_small[idx] = c; } else { score_large[idx] = c as u16; } if add { if c > max_score[k] { freq_global_max[max_score[k] as usize] -= 1; max_score[k] = c; freq_global_max[c as usize] += 1; if c > global_max_small { global_max_small = c; } } } else { if max_score[k] == c + 1 && freq[freq_starts[k] + (c + 1) as usize] == 0 { freq_global_max[max_score[k] as usize] -= 1; max_score[k] = c; freq_global_max[c as usize] += 1; while global_max_small > 0 && freq_global_max[global_max_small as usize] == 0 { global_max_small -= 1; } } } s -= q_val; k += 1; } } if add { if global_max_small > ans { ans = global_max_small; } for &y in &active { if x == y { continue; } let d = x.abs_diff(y); if d <= b_limit { continue; } let max_c = d / (b_limit + 1); for c in 1..=max_c { if d % c == 0 { let k_val = d / c; if k_val > b_limit && k_val <= n / max(1, ans as usize) { let mut count = 1; let mut curr = x + k_val; while curr <= n { if has[curr] { count += 1; } curr += k_val; } let mut curr_back = if x > k_val { x - k_val } else { 0 }; while curr_back >= 1 { if has[curr_back] { count += 1; } curr_back = if curr_back > k_val { curr_back - k_val } else { 0 }; } if count > ans { ans = count; } } } } } } else { if ans > global_max_small { let mut found = false; for i in 0..active.len() { let u = active[i]; for j in (i + 1)..active.len() { let v = active[j]; let d = u.abs_diff(v); if d <= b_limit { continue; } let max_c = d / (b_limit + 1); for c in 1..=max_c { if d % c == 0 { let k_val = d / c; if k_val > b_limit && k_val <= n / (ans as usize - 1) { let mut count = 1; let mut curr = u + k_val; while curr <= n { if has[curr] { count += 1; } curr += k_val; } let mut curr_back = if u > k_val { u - k_val } else { 0 }; while curr_back >= 1 { if has[curr_back] { count += 1; } curr_back = if curr_back > k_val { curr_back - k_val } else { 0 }; } if count >= ans { found = true; break; } } } } if found { break; } } if found { break; } } if !found { ans -= 1; } } else { ans = global_max_small; } } if active.is_empty() { ans = 0; } else if ans == 0 { ans = 1; } let _ = writeln!(stdout, "{}", ans); } } |
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