use std::cmp;
const NUM: usize = 1 << 20;
const INF: i64 = 1 << 60;
pub struct RangeAddSegmentTree {
seg_min: Vec<i64>,
seg_max: Vec<i64>,
seg_add: Vec<i64>,
}
impl RangeAddSegmentTree {
pub fn new() -> Self {
RangeAddSegmentTree {
seg_min: vec![INF; NUM * 2],
seg_max: vec![-INF; NUM * 2],
seg_add: vec![0; NUM * 2],
}
}
pub fn add(&mut self, a: usize, b: usize, value: i64) {
self.add_to_range(a, b, value, 0, 0, NUM);
}
fn add_to_range(
&mut self,
a: usize,
b: usize,
value: i64,
k: usize,
left: usize,
right: usize,
) {
if b <= left || right <= a {
return;
}
if a <= left && right <= b {
let mut k = k;
self.seg_add[k] += value;
while k > 0 {
k = (k - 1) / 2;
self.seg_min[k] = cmp::min(
self.seg_min[k * 2 + 1] + self.seg_add[k * 2 + 1],
self.seg_min[k * 2 + 2] + self.seg_add[k * 2 + 2],
);
self.seg_max[k] = cmp::max(
self.seg_max[k * 2 + 1] + self.seg_add[k * 2 + 1],
self.seg_max[k * 2 + 2] + self.seg_add[k * 2 + 2],
);
}
} else {
self.add_to_range(a, b, value, k * 2 + 1, left, (left + right) / 2);
self.add_to_range(a, b, value, k * 2 + 2, (left + right) / 2, right);
}
}
pub fn update(&mut self, pos: usize, value: i64) {
let mut k = pos + NUM - 1;
self.seg_min[k] = value;
self.seg_max[k] = value;
while k > 0 {
k = (k - 1) / 2;
self.seg_min[k] = cmp::min(self.seg_min[k * 2 + 1], self.seg_min[k * 2 + 2]);
self.seg_max[k] = cmp::max(self.seg_max[k * 2 + 1], self.seg_max[k * 2 + 2]);
}
}
pub fn get_min(&self, a: usize, b: usize) -> i64 {
self.get_min_range(a, b, 0, 0, NUM)
}
fn get_min_range(&self, a: usize, b: usize, k: usize, left: usize, right: usize) -> i64 {
if b <= left || right <= a {
INF
} else if a <= left && right <= b {
self.seg_min[k] + self.seg_add[k]
} else {
let x = self.get_min_range(a, b, k * 2 + 1, left, (left + right) / 2);
let y = self.get_min_range(a, b, k * 2 + 2, (left + right) / 2, right);
cmp::min(x, y) + self.seg_add[k]
}
}
pub fn get_max(&self, a: usize, b: usize) -> i64 {
self.get_max_range(a, b, 0, 0, NUM)
}
fn get_max_range(&self, a: usize, b: usize, k: usize, left: usize, right: usize) -> i64 {
if b <= left || right <= a {
-INF
} else if a <= left && right <= b {
self.seg_max[k] + self.seg_add[k]
} else {
let x = self.get_max_range(a, b, k * 2 + 1, left, (left + right) / 2);
let y = self.get_max_range(a, b, k * 2 + 2, (left + right) / 2, right);
cmp::max(x, y) + self.seg_add[k]
}
}
}
#[cfg(test)]
mod test {
use super::*;
extern crate rand;
use self::rand::Rng;
#[test]
fn random_add() {
let n = 30;
let mut array = vec![0; n];
let mut seg = RangeAddSegmentTree::new();
for i in 0..n {
seg.update(i, 0);
}
for l in 0..n {
for r in (l + 1)..n {
let value = rand::thread_rng().gen::<i16>() as i64;
seg.add(l, r, value);
for i in l..r {
array[i] += value;
}
for l in 0..n {
for r in (l + 1)..n {
let mut min = INF;
let mut max = -INF;
for i in l..r {
min = cmp::min(min, array[i]);
max = cmp::max(max, array[i]);
}
assert_eq!(seg.get_min(l, r), min);
assert_eq!(seg.get_max(l, r), max);
}
}
}
}
}
}