// #pragma GCC target("avx2") // #pragma GCC optimize("O3") // #pragma GCC optimize("unroll-loops") #include using namespace std; namespace templates { // type using ll = long long; using ull = unsigned long long; template using pq = priority_queue; template using qp = priority_queue, greater>; #define vec(T, A, ...) vector A(__VA_ARGS__); #define vvec(T, A, h, ...) vector> A(h, vector(__VA_ARGS__)); #define vvvec(T, A, h1, h2, ...) \ vector>> A(h1, vector>(h2, vector(__VA_ARGS__))); // for loop #define fori1(a) for (ll _ = 0; _ < (a); _++) #define fori2(i, a) for (ll i = 0; i < (a); i++) #define fori3(i, a, b) for (ll i = (a); i < (b); i++) #define fori4(i, a, b, c) for (ll i = (a); ((c) > 0 || i > (b)) && ((c) < 0 || i < (b)); i += (c)) #define overload4(a, b, c, d, e, ...) e #define fori(...) overload4(__VA_ARGS__, fori4, fori3, fori2, fori1)(__VA_ARGS__) // declare and input // clang-format off #define INT(...) int __VA_ARGS__; inp(__VA_ARGS__); #define LL(...) ll __VA_ARGS__; inp(__VA_ARGS__); #define STRING(...) string __VA_ARGS__; inp(__VA_ARGS__); #define CHAR(...) char __VA_ARGS__; inp(__VA_ARGS__); #define DOUBLE(...) double __VA_ARGS__; STRING(str___); __VA_ARGS__ = stod(str___); #define VEC(T, A, n) vector A(n); inp(A); #define VVEC(T, A, n, m) vector> A(n, vector(m)); inp(A); // clang-format on // const value const ll MOD1 = 1000000007; const ll MOD9 = 998244353; const double PI = acos(-1); // other macro #ifndef RIN__LOCAL #define endl "\n" #endif #define spa ' ' #define len(A) ll(A.size()) #define all(A) begin(A), end(A) // function vector stoc(string &S) { int n = S.size(); vector ret(n); for (int i = 0; i < n; i++) ret[i] = S[i]; return ret; } string ctos(vector &S) { int n = S.size(); string ret = ""; for (int i = 0; i < n; i++) ret += S[i]; return ret; } template auto min(const T &a) { return *min_element(all(a)); } template auto max(const T &a) { return *max_element(all(a)); } template auto clamp(T &a, const S &l, const S &r) { return (a > r ? r : a < l ? l : a); } template inline bool chmax(T &a, const S &b) { return (a < b ? a = b, 1 : 0); } template inline bool chmin(T &a, const S &b) { return (a > b ? a = b, 1 : 0); } template inline bool chclamp(T &a, const S &l, const S &r) { auto b = clamp(a, l, r); return (a != b ? a = b, 1 : 0); } template T sum(vector &A) { T tot = 0; for (auto a : A) tot += a; return tot; } template vector compression(vector X) { sort(all(X)); X.erase(unique(all(X)), X.end()); return X; } // input and output namespace io { // vector template istream &operator>>(istream &is, vector &A) { for (auto &a : A) is >> a; return is; } template ostream &operator<<(ostream &os, vector &A) { for (size_t i = 0; i < A.size(); i++) { os << A[i]; if (i != A.size() - 1) os << ' '; } return os; } // vector> template istream &operator>>(istream &is, vector> &A) { for (auto &a : A) is >> a; return is; } template ostream &operator<<(ostream &os, vector> &A) { for (size_t i = 0; i < A.size(); i++) { os << A[i]; if (i != A.size() - 1) os << endl; } return os; } // pair template istream &operator>>(istream &is, pair &A) { is >> A.first >> A.second; return is; } template ostream &operator<<(ostream &os, pair &A) { os << A.first << ' ' << A.second; return os; } // vector> template istream &operator>>(istream &is, vector> &A) { for (size_t i = 0; i < A.size(); i++) { is >> A[i]; } return is; } template ostream &operator<<(ostream &os, vector> &A) { for (size_t i = 0; i < A.size(); i++) { os << A[i]; if (i != A.size() - 1) os << endl; } return os; } // tuple template struct TuplePrint { static ostream &print(ostream &os, const T &t) { TuplePrint::print(os, t); os << ' ' << get(t); return os; } }; template struct TuplePrint { static ostream &print(ostream &os, const T &t) { os << get<0>(t); return os; } }; template ostream &operator<<(ostream &os, const tuple &t) { TuplePrint::print(os, t); return os; } // io functions void FLUSH() { cout << flush; } void print() { cout << endl; } template void print(Head &&head, Tail &&...tail) { cout << head; if (sizeof...(Tail)) cout << spa; print(std::forward(tail)...); } template void prisep(vector &A, S sep) { int n = A.size(); for (int i = 0; i < n; i++) { cout << A[i]; if (i != n - 1) cout << sep; } cout << endl; } template void priend(T A, S end) { cout << A << end; } template void prispa(T A) { priend(A, spa); } template bool printif(bool f, T A, S B) { if (f) print(A); else print(B); return f; } template void inp(T &...a) { (cin >> ... >> a); } } // namespace io using namespace io; // read graph vector> read_edges(int n, int m, bool direct = false, int indexed = 1) { vector> edges(n, vector()); for (int i = 0; i < m; i++) { INT(u, v); u -= indexed; v -= indexed; edges[u].push_back(v); if (!direct) edges[v].push_back(u); } return edges; } vector> read_tree(int n, int indexed = 1) { return read_edges(n, n - 1, false, indexed); } template vector>> read_wedges(int n, int m, bool direct = false, int indexed = 1) { vector>> edges(n, vector>()); for (int i = 0; i < m; i++) { INT(u, v); T w; inp(w); u -= indexed; v -= indexed; edges[u].push_back({v, w}); if (!direct) edges[v].push_back({u, w}); } return edges; } template vector>> read_wtree(int n, int indexed = 1) { return read_wedges(n, n - 1, false, indexed); } // yes / no namespace yesno { // yes inline bool yes(bool f = true) { cout << (f ? "yes" : "no") << endl; return f; } inline bool Yes(bool f = true) { cout << (f ? "Yes" : "No") << endl; return f; } inline bool YES(bool f = true) { cout << (f ? "YES" : "NO") << endl; return f; } // no inline bool no(bool f = true) { cout << (!f ? "yes" : "no") << endl; return f; } inline bool No(bool f = true) { cout << (!f ? "Yes" : "No") << endl; return f; } inline bool NO(bool f = true) { cout << (!f ? "YES" : "NO") << endl; return f; } // possible inline bool possible(bool f = true) { cout << (f ? "possible" : "impossible") << endl; return f; } inline bool Possible(bool f = true) { cout << (f ? "Possible" : "Impossible") << endl; return f; } inline bool POSSIBLE(bool f = true) { cout << (f ? "POSSIBLE" : "IMPOSSIBLE") << endl; return f; } // impossible inline bool impossible(bool f = true) { cout << (!f ? "possible" : "impossible") << endl; return f; } inline bool Impossible(bool f = true) { cout << (!f ? "Possible" : "Impossible") << endl; return f; } inline bool IMPOSSIBLE(bool f = true) { cout << (!f ? "POSSIBLE" : "IMPOSSIBLE") << endl; return f; } // Alice Bob inline bool Alice(bool f = true) { cout << (f ? "Alice" : "Bob") << endl; return f; } inline bool Bob(bool f = true) { cout << (f ? "Bob" : "Alice") << endl; return f; } // Takahashi Aoki inline bool Takahashi(bool f = true) { cout << (f ? "Takahashi" : "Aoki") << endl; return f; } inline bool Aoki(bool f = true) { cout << (f ? "Aoki" : "Takahashi") << endl; return f; } } // namespace yesno using namespace yesno; } // namespace templates using namespace templates; template struct BIT { int n; std::vector tree; BIT(int n) : n(n) { tree.assign(n + 1, T(0)); } BIT() {} T _sum(int i) { i++; T res = T(0); while (i > 0) { res += tree[i]; i -= i & -i; } return res; } T sum(int l, int r) { return _sum(r - 1) - _sum(l - 1); } T sum(int r) { return _sum(r - 1); } T get(int i) { return _sum(i) - _sum(i - 1); } void add(int i, T x) { i++; while (i <= n) { tree[i] += x; i += i & -i; } } int lower_bound(T x) { int pos = 0; int plus = 1; while (plus * 2 <= n) plus *= 2; while (plus > 0) { if ((pos + plus <= n) && (tree[pos + plus] < x)) { x -= tree[pos + plus]; pos += plus; } plus >>= 1; } return pos; } }; struct Mo { int width, n; std::vector L, R, ord; Mo(int n, int Q) : n(n) { width = std::max(1, 1.0 * n / std::max(1.0, std::sqrt(Q * 2.0 / 3.0))); ord.resize(Q); std::iota(ord.begin(), ord.end(), 0); L.reserve(Q); R.reserve(Q); } void insert(int l, int r) { L.emplace_back(l); R.emplace_back(r); } void add(int l, int r) { insert(l, r); } template void run(const AL &add_left, const AR &add_right, const DL &delete_left, const DR &delete_right, const REM &rem) { assert(L.size() == ord.size()); std::sort(ord.begin(), ord.end(), [&](int i, int j) { int bi = L[i] / width; int bj = L[j] / width; if (bi != bj) return bi < bj; if (bi & 1) return R[i] < R[j]; return R[i] > R[j]; }); int l = 0; int r = 0; for (auto i : ord) { while (l > L[i]) add_left(--l); while (r < R[i]) add_right(r++); while (l < L[i]) delete_left(l++); while (r > R[i]) delete_right(--r); rem(i); } } }; template struct lazy_segtree { public: explicit lazy_segtree(const std::vector &v) : _n(int(v.size())) { size = 1; log = 0; while (size < _n) { log++; size <<= 1; } d = std::vector(2 * size, e()); lz = std::vector(size, id()); for (int i = 0; i < _n; i++) d[size + i] = v[i]; for (int i = size - 1; i >= 1; i--) update(i); } explicit lazy_segtree(int n) : lazy_segtree(std::vector(n, e())) {} S prod(int l, int r) { if (l == r) return e(); l += size; r += size; for (int i = log; i >= 1; i--) { if (((l >> i) << i) != l) push(l >> i); if (((r >> i) << i) != r) push((r - 1) >> i); } S sml = e(), smr = e(); while (l < r) { if (l & 1) sml = op(sml, d[l++]); if (r & 1) smr = op(d[--r], smr); l >>= 1; r >>= 1; } return op(sml, smr); } S get(int x) { return prod(x, x + 1); } S all_prod() { return d[1]; } void apply(int l, int r, F f) { if (l == r) return; l += size; r += size; for (int i = log; i >= 1; i--) { if (((l >> i) << i) != l) push(l >> i); if (((r >> i) << i) != r) push((r - 1) >> i); } { int l2 = l, r2 = r; while (l < r) { if (l & 1) all_apply(l++, f); if (r & 1) all_apply(--r, f); l >>= 1; r >>= 1; } l = l2; r = r2; } for (int i = 1; i <= log; i++) { if (((l >> i) << i) != l) update(l >> i); if (((r >> i) << i) != r) update((r - 1) >> i); } } private: int _n, size, log; std::vector d; std::vector lz; void update(int k) { d[k] = op(d[2 * k], d[2 * k + 1]); } void all_apply(int k, F f) { d[k] = mapping(f, d[k]); if (k < size) lz[k] = composition(f, lz[k]); } void push(int k) { all_apply(2 * k, lz[k]); all_apply(2 * k + 1, lz[k]); lz[k] = id(); } }; using S = ll; S op(S l, S r) { return l < r ? l : r; } S e() { return 1LL << 60; } using F = ll; S mapping(F f, S x) { return f + x; } F composition(F f, F g) { return f + g; } F id() { return 0; } void solve() { INT(n, Q); VEC(ll, A, n); for (auto &a : A) a--; Mo mo(n, Q); fori(Q) { INT(l, r); mo.add(--l, r); } lazy_segtree seg(vector(n, 0)); for (auto a : A) { seg.apply(a + 1, n, 1); } BIT bitL(n), bitR(n); ll inv = 0; for (auto a : A) { inv += bitR.sum(a + 1, n); bitR.add(a, 1); } vec(ll, ans, Q); ll l = 0; ll r = 0; auto al = [&](int) { l--; seg.apply(0, A[l], -1); inv -= bitR.sum(0, A[l]); inv -= bitL.sum(A[l] + 1, n); bitL.add(A[l], -1); }; auto ar = [&](int) { seg.apply(A[r] + 1, n, -1); inv -= bitR.sum(0, A[r]); inv -= bitL.sum(A[r] + 1, n); bitR.add(A[r], -1); r++; }; auto dl = [&](int) { seg.apply(0, A[l], 1); inv += bitR.sum(0, A[l]); inv += bitL.sum(A[l] + 1, n); bitL.add(A[l], 1); l++; }; auto dr = [&](int) { r--; seg.apply(A[r] + 1, n, 1); inv += bitR.sum(0, A[r]); inv += bitL.sum(A[r] + 1, n); bitR.add(A[r], 1); }; auto q = [&](int i) { ans[i] = seg.all_prod() * (r - l) + inv; }; mo.run(al, ar, dl, dr, q); prisep(ans, "\n"); } int main() { cin.tie(0)->sync_with_stdio(0); // cout << fixed << setprecision(12); int t; t = 1; // cin >> t; while (t--) solve(); return 0; }