#include using namespace std; using lint = long long; using pint = pair; using plint = pair; struct fast_ios { fast_ios(){ cin.tie(nullptr), ios::sync_with_stdio(false), cout << fixed << setprecision(20); }; } fast_ios_; #define ALL(x) (x).begin(), (x).end() #define FOR(i, begin, end) for(int i=(begin),i##_end_=(end);i=i##_begin_;i--) #define REP(i, n) FOR(i,0,n) #define IREP(i, n) IFOR(i,0,n) template void ndarray(vector& vec, const V& val, int len) { vec.assign(len, val); } template void ndarray(vector& vec, const V& val, int len, Args... args) { vec.resize(len), for_each(begin(vec), end(vec), [&](T& v) { ndarray(v, val, args...); }); } template bool chmax(T &m, const T q) { if (m < q) {m = q; return true;} else return false; } template bool chmin(T &m, const T q) { if (m > q) {m = q; return true;} else return false; } template pair operator+(const pair &l, const pair &r) { return make_pair(l.first + r.first, l.second + r.second); } template pair operator-(const pair &l, const pair &r) { return make_pair(l.first - r.first, l.second - r.second); } template vector srtunq(vector vec) { sort(vec.begin(), vec.end()), vec.erase(unique(vec.begin(), vec.end()), vec.end()); return vec; } template istream &operator>>(istream &is, vector &vec) { for (auto &v : vec) is >> v; return is; } template ostream &operator<<(ostream &os, const vector &vec) { os << '['; for (auto v : vec) os << v << ','; os << ']'; return os; } #if __cplusplus >= 201703L template istream &operator>>(istream &is, tuple &tpl) { std::apply([&is](auto &&... args) { ((is >> args), ...);}, tpl); return is; } template ostream &operator<<(ostream &os, const tuple &tpl) { std::apply([&os](auto &&... args) { ((os << args << ','), ...);}, tpl); return os; } #endif template ostream &operator<<(ostream &os, const deque &vec) { os << "deq["; for (auto v : vec) os << v << ','; os << ']'; return os; } template ostream &operator<<(ostream &os, const set &vec) { os << '{'; for (auto v : vec) os << v << ','; os << '}'; return os; } template ostream &operator<<(ostream &os, const unordered_set &vec) { os << '{'; for (auto v : vec) os << v << ','; os << '}'; return os; } template ostream &operator<<(ostream &os, const multiset &vec) { os << '{'; for (auto v : vec) os << v << ','; os << '}'; return os; } template ostream &operator<<(ostream &os, const unordered_multiset &vec) { os << '{'; for (auto v : vec) os << v << ','; os << '}'; return os; } template ostream &operator<<(ostream &os, const pair &pa) { os << '(' << pa.first << ',' << pa.second << ')'; return os; } template ostream &operator<<(ostream &os, const map &mp) { os << '{'; for (auto v : mp) os << v.first << "=>" << v.second << ','; os << '}'; return os; } template ostream &operator<<(ostream &os, const unordered_map &mp) { os << '{'; for (auto v : mp) os << v.first << "=>" << v.second << ','; os << '}'; return os; } #ifdef HITONANODE_LOCAL #define dbg(x) cerr << #x << " = " << (x) << " (L" << __LINE__ << ") " << __FILE__ << endl #else #define dbg(x) {} #endif // 1-indexed BIT (i : [1, len]) template struct BIT : std::vector { BIT(int len = 0) : std::vector(len + 1) {} void reset() { fill(this->begin(), this->end(), 0); } void add(int pos, T v) { while (pos > 0 and pos < (int)this->size()) (*this)[pos] += v, pos += pos & -pos; } T sum(int pos) const { // (0, pos] T res = 0; while (pos > 0) res += (*this)[pos], pos -= pos & -pos; return res; } friend std::ostream &operator<<(std::ostream &os, const BIT &bit) { T prv = 0; os << '['; for (int i = 1; i < (int)bit.size(); i++) { T now = bit.sum(i); os << now - prv << ","; prv = now; } os << ']'; return os; } }; int main() { int N, Q; cin >> N >> Q; vector A(N); cin >> A; vector tl(N), tr(N); { BIT bit(N); lint t = 0; REP(i, N) { t += bit.sum(N) - bit.sum(A[i]); tl[i] = t; bit.add(A[i], 1); } } { BIT bit(N); lint t = 0; IREP(i, N) { t += bit.sum(A[i] - 1); tr[i] = t; bit.add(A[i], 1); } } dbg(tl); dbg(tr); vector cntl(N + 3); vector cntr(N + 3); while (Q--) { int l, r; cin >> l >> r; l--; // [l, r) lint ret = 0; if (l) ret += tl[l - 1]; if (r < N) ret += tr[r]; fill(cntl.begin(), cntl.end(), 0); fill(cntr.begin(), cntr.end(), 0); REP(i, l) cntl[A[i]]++; FOR(i, r, N) cntr[A[i]]++; REP(i, N + 2) cntr[i + 1] += cntr[i]; REP(i, N + 1) { ret += 1LL * cntl[i + 1] * cntr[i]; } IREP(i, N + 2) cntl[i] += cntl[i + 1]; dbg(ret); dbg(cntl); dbg(cntr); lint cadd = 1e18; REP(i, N + 2) chmin(cadd, (cntr[i] + cntl[i + 2]) * lint(r - l)); dbg(cadd); cout << ret + cadd << '\n'; } }