fn getline() -> String { let mut ret = String::new(); std::io::stdin().read_line(&mut ret).unwrap(); ret } // Lazy Segment Tree Beats. // Reference: https://rsm9.hatenablog.com/entry/2021/02/01/220408 pub trait ActionRing { type T: Clone + Copy; // data type U: Clone + Copy + PartialEq + Eq; // action fn biop(x: Self::T, y: Self::T) -> Self::T; fn update(x: Self::T, a: Self::U) -> Result; fn upop(fst: Self::U, snd: Self::U) -> Self::U; fn e() -> Self::T; fn upe() -> Self::U; // identity for upop } pub struct LazySegTreeBeats { n: usize, dep: usize, dat: Vec, lazy: Vec, } impl LazySegTreeBeats { pub fn new(n_: usize) -> Self { let mut n = 1; let mut dep = 0; while n < n_ { n *= 2; dep += 1; } // n is a power of 2 LazySegTreeBeats { n: n, dep: dep, dat: vec![R::e(); 2 * n], lazy: vec![R::upe(); n], } } #[allow(unused)] pub fn with(a: &[R::T]) -> Self { let mut ret = Self::new(a.len()); let n = ret.n; for i in 0..a.len() { ret.dat[n + i] = a[i]; } for i in (1..n).rev() { ret.update_node(i); } ret } #[inline] pub fn set(&mut self, idx: usize, x: R::T) { debug_assert!(idx < self.n); self.apply_any(idx, |_t| x); } pub fn apply_any R::T>(&mut self, idx: usize, f: F) { debug_assert!(idx < self.n); let idx = idx + self.n; for i in (1..self.dep + 1).rev() { self.push(idx >> i); } self.dat[idx] = f(self.dat[idx]); for i in 1..self.dep + 1 { self.update_node(idx >> i); } } pub fn get(&mut self, idx: usize) -> R::T { debug_assert!(idx < self.n); let idx = idx + self.n; for i in (1..self.dep + 1).rev() { self.push(idx >> i); } self.dat[idx] } /* [l, r) (note: half-inclusive) */ #[inline] pub fn query(&mut self, rng: std::ops::Range) -> R::T { let (l, r) = (rng.start, rng.end); debug_assert!(l <= r && r <= self.n); if l == r { return R::e(); } let mut l = l + self.n; let mut r = r + self.n; for i in (1..self.dep + 1).rev() { if ((l >> i) << i) != l { self.push(l >> i); } if ((r >> i) << i) != r { self.push((r - 1) >> i); } } let mut sml = R::e(); let mut smr = R::e(); while l < r { if (l & 1) != 0 { sml = R::biop(sml, self.dat[l]); l += 1; } if (r & 1) != 0 { r -= 1; smr = R::biop(self.dat[r], smr); } l >>= 1; r >>= 1; } R::biop(sml, smr) } /* ary[i] = upop(ary[i], v) for i in [l, r) (half-inclusive) */ #[inline] pub fn update(&mut self, rng: std::ops::Range, f: R::U) { let (l, r) = (rng.start, rng.end); debug_assert!(l <= r && r <= self.n); if l == r { return; } let mut l = l + self.n; let mut r = r + self.n; for i in (1..self.dep + 1).rev() { if ((l >> i) << i) != l { self.push(l >> i); } if ((r >> i) << i) != r { self.push((r - 1) >> i); } } { let l2 = l; let r2 = r; while l < r { if (l & 1) != 0 { self.all_apply(l, f); l += 1; } if (r & 1) != 0 { r -= 1; self.all_apply(r, f); } l >>= 1; r >>= 1; } l = l2; r = r2; } for i in 1..self.dep + 1 { if ((l >> i) << i) != l { self.update_node(l >> i); } if ((r >> i) << i) != r { self.update_node((r - 1) >> i); } } } #[inline] fn update_node(&mut self, k: usize) { self.dat[k] = R::biop(self.dat[2 * k], self.dat[2 * k + 1]); } fn all_apply(&mut self, k: usize, f: R::U) { let maybe_dat = R::update(self.dat[k], f); let fail = maybe_dat.is_err(); if let Ok(dat) = maybe_dat { self.dat[k] = dat; } if k < self.n { self.lazy[k] = R::upop(self.lazy[k], f); if fail { self.push(k); self.update_node(k); } } } fn push(&mut self, k: usize) { let val = self.lazy[k]; self.all_apply(2 * k, val); self.all_apply(2 * k + 1, val); self.lazy[k] = R::upe(); } } type Int = i64; // Change here to change type const INF: Int = 1 << 60; mod beats_chmax_sum { use super::Int; pub fn op((a_min, a_smin, a_c, a_sum): (Int, Int, Int, Int), (b_min, b_smin, b_c, b_sum): (Int, Int, Int, Int)) -> (Int, Int, Int, Int) { if a_min > b_min { (b_min, b_smin.min(a_min), b_c, a_sum + b_sum) } else if a_min < b_min { (a_min, a_smin.min(b_min), a_c, a_sum + b_sum) } else { (a_min, a_smin.min(b_smin), a_c + b_c, a_sum + b_sum) } } pub fn chmax((a_min, a_smin, a_c, a_sum): (Int, Int, Int, Int), x: Int) -> Result<(Int, Int, Int, Int), ()> { if a_min >= x { return Ok((a_min, a_smin, a_c, a_sum)); } if a_smin > x { return Ok((x, a_smin, a_c, a_sum + (x - a_min) * a_c)); } Err(()) } } enum Yuki3314LR {} impl ActionRing for Yuki3314LR { type T = (Int, Int, Int, Int); // min, smin, c, sum type U = Int; // a: x |-> max(x, a) fn biop(a: Self::T, b: Self::T) -> Self::T { beats_chmax_sum::op(a, b) } // Complexity note: potential = (or ^ and).count_ones() fn update(a: Self::T, up: Self::U) -> Result { if up == -INF { return Ok(a); } beats_chmax_sum::chmax(a, up) } fn upop(fst: Self::U, snd: Self::U) -> Self::U { fst.max(snd) } fn e() -> Self::T { (INF, INF, 0, 0) } fn upe() -> Self::U { // identity for upop -INF } } fn parallel_binary_search_once( a: &[i64], upd: &[(usize, usize, i64)], qs: &[(usize, usize, i64)], mid: &[usize], debug: bool, ) -> Vec { let k = upd.len(); let n = a.len(); let q = qs.len(); let mut init = vec![(0, 0, 0, 0); n]; for i in 0..n { init[i] = (a[i], INF, 1, a[i]); } let mut st = LazySegTreeBeats::::with(&init); let mut ev = vec![vec![]; k + 1]; for i in 0..q { ev[k.min(mid[i])].push(i); } let mut ans = vec![false; q]; for t in 0..k + 1 { for &idx in &ev[t] { let (l, r, x) = qs[idx]; ans[idx] = st.query(l..r).3 >= x; } if t < k { let (l, r, x) = upd[t]; st.update(l..r, x); } } ans } // Tags: segment-tree-beats, parallel-binary-search fn main() { let ints = getline().trim().split_whitespace() .map(|x| x.parse::().unwrap()) .collect::>(); let [_n, k, q] = ints[..] else { panic!() }; let a = getline().trim().split_whitespace() .map(|x| x.parse::().unwrap()) .collect::>(); let upd = (0..k).map(|_| { let ints = getline().trim().split_whitespace() .map(|x| x.parse::().unwrap()) .collect::>(); (ints[0] as usize - 1, ints[1] as usize, ints[2]) }).collect::>(); let qs = (0..q).map(|_| { let ints = getline().trim().split_whitespace() .map(|x| x.parse::().unwrap()) .collect::>(); (ints[0] as usize - 1, ints[1] as usize, ints[2]) }).collect::>(); let mut pass = vec![1 << 14; q]; let mut fail = vec![0; q]; for i in 0..16 { let mut mid = vec![0; q]; for i in 0..q { mid[i] = (pass[i] + fail[i]) / 2 - 1; } let res = parallel_binary_search_once(&a, &upd, &qs, &mid, i == 15); for i in 0..q { if res[i] { pass[i] = mid[i] + 1; } else { fail[i] = mid[i] + 1; } } } for a in pass { println!("{}", if a > k + 1 { -1 } else { a as i32 - 1 }); } }