class BIT: def __init__(self, n): self.n = n self.data = [0] * (n + 1) if n == 0: self.n0 = 0 else: self.n0 = 1 << (n.bit_length() - 1) def sum_(self, i): s = 0 while i > 0: s += self.data[i] i -= i & -i return s def sum(self, l, r=-1): if r == -1: return self.sum_(l) else: return self.sum_(r) - self.sum_(l) def get(self, i): return self.sum(i, i + 1) def add(self, i, x): i += 1 while i <= self.n: self.data[i] += x i += i & -i def lower_bound(self, x): if x <= 0: return 0 i = 0 k = self.n0 while k > 0: if i + k <= self.n and self.data[i + k] < x: x -= self.data[i + k] i += k k //= 2 return i + 1 class LazySegmentTreeBase_: def ope(self, l, r): raise NotImplementedError def e(self): raise NotImplementedError def mapping(self, f, x): raise NotImplementedError def composition(self, f, g): raise NotImplementedError def id_(self): raise NotImplementedError def __init__(self, n, init=None): self.n = n self.log = (n - 1).bit_length() self.n0 = 1 << self.log self.data = [self.e()] * (2 * self.n0) self.lazy = [self.id_()] * self.n0 if init is not None: for i in range(n): self.data[self.n0 + i] = init[i] for i in range(self.n0 - 1, 0, -1): self.data[i] = self.ope(self.data[2 * i], self.data[2 * i + 1]) def _all_apply(self, p, f): self.data[p] = self.mapping(f, self.data[p]) if p < self.n0: self.lazy[p] = self.composition(f, self.lazy[p]) def _push(self, p): self._all_apply(2 * p, self.lazy[p]) self._all_apply(2 * p + 1, self.lazy[p]) self.lazy[p] = self.id_() def _update(self, p): self.data[p] = self.ope(self.data[2 * p], self.data[2 * p + 1]) def set(self, p, x): p += self.n0 for i in range(self.log, 0, -1): self._push(p >> i) self.data[p] = x for i in range(1, self.log + 1): self._update(p >> i) def __setitem__(self, p, x): self.set(p, x) def get(self, p): p += self.n0 for i in range(self.log, 0, -1): self._push(p >> i) return self.data[p] def __getitem__(self, p): return self.get(p) def prod(self, l, r): assert 0 <= l <= r <= self.n0 l += self.n0 r += self.n0 for i in range(self.log, 0, -1): if ((l >> i) << i) != l: self._push(l >> i) if ((r >> i) << i) != r: self._push((r - 1) >> i) lles = self.e() rres = self.e() while l < r: if l & 1: lles = self.ope(lles, self.data[l]) l += 1 if r & 1: r -= 1 rres = self.ope(self.data[r], rres) l >>= 1 r >>= 1 return self.ope(lles, rres) def all_prod(self): return self.data[1] def _apply(self, p, f): p += self.n0 for i in range(self.log, 0, -1): self._push(p >> i) self.data[p] = self.mapping(f, self.data[p]) for i in range(1, self.log + 1): self._update(p >> i) def apply(self, l, r, f=None): if f is None: self._apply(l, r) return if l == r: return l += self.n0 r += self.n0 for i in range(self.log, 0, -1): if ((l >> i) << i) != l: self._push(l >> i) if ((r >> i) << i) != r: self._push((r - 1) >> i) l2 = l r2 = r while l < r: if l & 1: self._all_apply(l, f) l += 1 if r & 1: r -= 1 self._all_apply(r, f) l >>= 1 r >>= 1 l = l2 r = r2 for i in range(1, self.log + 1): if ((l >> i) << i) != l: self._update(l >> i) if ((r >> i) << i) != r: self._update((r - 1) >> i) def max_right(self, l, f): if l == self.n: return self.n l += self.n0 for i in range(self.log, 0, -1): self._push(l >> i) sm = self.e() while 1: while l % 2 == 0: l >>= 1 if not f(self.ope(sm, self.data[l])): while l < self.n0: self._push(l) l <<= 1 if f(self.ope(sm, self.data[l])): sm = self.ope(sm, self.data[l]) l += 1 return l - self.n0 sm = self.ope(sm, self.data[l]) l += 1 if l & -l == l: break return self.n def min_left(self, r, f): if r == 0: return 0 r += self.n0 for i in range(self.log, 0, -1): if ((r >> i) << i) != r: self._push((r - 1) >> i) sm = self.e() while 1: r -= 1 while r > 1 and r % 2: r >>= 1 if not f(self.ope(self.data[r], sm)): while r < self.n0: self._push(r) r = 2 * r + 1 if f(self.ope(self.data[r], sm)): sm = self.ope(self.data[r], sm) r -= 1 return r + 1 - self.n0 sm = self.ope(self.data[r], sm) if r & -r == r: break return 0 class MoBase_: def add_left(self, i): raise NotImplementedError def add_right(self, i): raise NotImplementedError def delete_left(self, i): raise NotImplementedError def delete_right(self, i): raise NotImplementedError def rem(self, i): raise NotImplementedError def __init__(self, n, Q): self.n = n self.Q = Q self.width = int(max(1, n / max(1, Q * 2.0 / 3.0) ** 0.5)) self.L = [] self.R = [] def insert(self, l, r): self.L.append(l) self.R.append(r) def run(self): def cmp(i): b = self.L[i] // self.width res = b * self.n * 3 if b % 2 == 0: res += self.R[i] else: res -= self.R[i] return res order = [(i, cmp(i)) for i in range(self.Q)] order.sort(key=lambda x: x[1]) nl = 0 nr = 0 for i, _ in order: l = self.L[i] r = self.R[i] while nl > l: nl -= 1 self.add_left(nl) while nr < r: self.add_right(nr) nr += 1 while nl < l: self.delete_left(nl) nl += 1 while nr > r: nr -= 1 self.delete_right(nr) self.rem(i) class Lseg(LazySegmentTreeBase_): def ope(self, l, r): return min(l, r) def e(self): return 1 << 60 def mapping(self, f, x): return f + x def composition(self, f, g): return f + g def id_(self): return 0 class Mo(MoBase_): def add_left(self, i): global l, inv l -= 1 seg.apply(0, A[l], -1) inv -= bitR.sum(A[l]) inv -= bitL.sum(A[l] + 1, n) bitL.add(A[l], -1) def add_right(self, i): global r, inv seg.apply(A[r] + 1, n, -1) inv -= bitR.sum(A[r]) inv -= bitL.sum(A[r] + 1, n) bitR.add(A[r], -1) r += 1 def delete_left(self, i): global l, inv seg.apply(0, A[l], 1) inv += bitR.sum(A[l]) inv += bitL.sum(A[l] + 1, n) bitL.add(A[l], 1) l += 1 def delete_right(self, i): global r, inv r -= 1 seg.apply(A[r] + 1, n, 1) inv += bitR.sum(A[r]) inv += bitL.sum(A[r] + 1, n) bitR.add(A[r], 1) def rem(self, i): ans[i] = seg.all_prod() * (r - l) + inv n, Q = map(int, input().split()) A = list(map(int, input().split())) for i in range(n): A[i] -= 1 mo = Mo(n, Q) for _ in range(Q): l, r = map(int, input().split()) mo.insert(l - 1, r) seg = Lseg(n, [0] * n) for a in A: seg.apply(a + 1, n, 1) bitL = BIT(n) bitR = BIT(n) inv = 0 for a in A: inv += bitR.sum(a + 1, n) bitR.add(a, 1) ans = [0] * Q l = 0 r = 0 mo.run() print(*ans, sep="\n")