const MAX_T: i64 = 100; const MAX_N: i64 = 200_000; const MAX_M: i64 = 200_000; const MAX_K: i64 = 1_000_000_000; const MAX_Y: i64 = 1_000_000_000; fn read() -> Vec<(usize, i64, Vec<(usize, i64)>)> { let mut s = String::new(); use std::io::Read; std::io::stdin().read_to_string(&mut s).unwrap(); let mut it = s.trim().split_whitespace(); let mut next = |l: i64, r: i64| { let v = it.next().unwrap().parse::().unwrap(); assert!(l <= v && v <= r); v }; let t = next(1, MAX_T) as usize; let mut sum_n = 0; let mut sum_m = 0; let mut test = vec![]; for _ in 0..t { let n = next(1, MAX_N - sum_n) as usize; let m = next(1, MAX_M - sum_m) as usize; let k = next(1, MAX_K); let mut p = vec![(0usize, 0i64); m]; for p in p.iter_mut() { p.0 = (next(1, n as i64) - 1) as usize; p.1 = next(1, MAX_Y); } assert!( m.saturating_mul(k.max(p.iter().map(|p| p.1).max().unwrap()) as usize) <= 10usize.pow(18) ); test.push((n, k, p)); sum_n += n as i64; sum_m += m as i64; } test } fn solve(n: usize, k: i64, p: &[(usize, i64)]) -> i64 { let mut dp = vec![(0, 0, 0); n]; for &(x, y) in p.iter() { let po = &mut dp[x]; po.0 += y * y; po.1 -= 2 * y; po.2 += 1; } let eval = |m: i64| -> (i64, i64) { let mut cnt = 0; let mut cost = 0; for &(c, b, a) in dp.iter() { cost += c; if a > 0 { let x = ((m - (b - a)).div_euclid(2 * a)).max(0); cnt += x; cost += 2 * a * (x + 1) * x / 2 + (b - a) * x; } else if m >= 0 { cnt += k; } } (cnt, cost) }; let mut ng = dp.iter().map(|&(_, b, a)| 2 * a + b - a - 1).min().unwrap(); let mut ok = dp.iter().map(|&(_, b, a)| 2 * a * k + b - a).min().unwrap(); while ok - ng > 1 { let mid = (ok + ng) / 2; if eval(mid).0 >= k { ok = mid; } else { ng = mid; } } let (x, y) = eval(ok); let ans = y - ok * (x - k); ans } fn main() { let test = read(); for (n, k, p) in test { let ans = solve(n, k, &p); println!("{}", ans); } }