#line 2 "/Users/noya2/Desktop/Noya2_library/template/template.hpp" using namespace std; #include #line 1 "/Users/noya2/Desktop/Noya2_library/template/inout_old.hpp" namespace noya2 { template ostream &operator<<(ostream &os, const pair &p){ os << p.first << " " << p.second; return os; } template istream &operator>>(istream &is, pair &p){ is >> p.first >> p.second; return is; } template ostream &operator<<(ostream &os, const vector &v){ int s = (int)v.size(); for (int i = 0; i < s; i++) os << (i ? " " : "") << v[i]; return os; } template istream &operator>>(istream &is, vector &v){ for (auto &x : v) is >> x; return is; } void in() {} template void in(T &t, U &...u){ cin >> t; in(u...); } void out() { cout << "\n"; } template void out(const T &t, const U &...u){ cout << t; if (sizeof...(u)) cout << sep; out(u...); } template void out(const vector> &vv){ int s = (int)vv.size(); for (int i = 0; i < s; i++) out(vv[i]); } struct IoSetup { IoSetup(){ cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(15); cerr << fixed << setprecision(7); } } iosetup_noya2; } // namespace noya2 #line 1 "/Users/noya2/Desktop/Noya2_library/template/const.hpp" namespace noya2{ const int iinf = 1'000'000'007; const long long linf = 2'000'000'000'000'000'000LL; const long long mod998 = 998244353; const long long mod107 = 1000000007; const long double pi = 3.14159265358979323; const vector dx = {0,1,0,-1,1,1,-1,-1}; const vector dy = {1,0,-1,0,1,-1,-1,1}; const string ALP = "ABCDEFGHIJKLMNOPQRSTUVWXYZ"; const string alp = "abcdefghijklmnopqrstuvwxyz"; const string NUM = "0123456789"; void yes(){ cout << "Yes\n"; } void no(){ cout << "No\n"; } void YES(){ cout << "YES\n"; } void NO(){ cout << "NO\n"; } void yn(bool t){ t ? yes() : no(); } void YN(bool t){ t ? YES() : NO(); } } // namespace noya2 #line 2 "/Users/noya2/Desktop/Noya2_library/template/utils.hpp" #line 6 "/Users/noya2/Desktop/Noya2_library/template/utils.hpp" namespace noya2{ unsigned long long inner_binary_gcd(unsigned long long a, unsigned long long b){ if (a == 0 || b == 0) return a + b; int n = __builtin_ctzll(a); a >>= n; int m = __builtin_ctzll(b); b >>= m; while (a != b) { int mm = __builtin_ctzll(a - b); bool f = a > b; unsigned long long c = f ? a : b; b = f ? b : a; a = (c - b) >> mm; } return a << std::min(n, m); } template T gcd_fast(T a, T b){ return static_cast(inner_binary_gcd(std::abs(a),std::abs(b))); } long long sqrt_fast(long long n) { if (n <= 0) return 0; long long x = sqrt(n); while ((x + 1) * (x + 1) <= n) x++; while (x * x > n) x--; return x; } template T floor_div(const T n, const T d) { assert(d != 0); return n / d - static_cast((n ^ d) < 0 && n % d != 0); } template T ceil_div(const T n, const T d) { assert(d != 0); return n / d + static_cast((n ^ d) >= 0 && n % d != 0); } template void uniq(std::vector &v){ std::sort(v.begin(),v.end()); v.erase(unique(v.begin(),v.end()),v.end()); } template inline bool chmin(T &x, U y) { return (y < x) ? (x = y, true) : false; } template inline bool chmax(T &x, U y) { return (x < y) ? (x = y, true) : false; } template inline bool range(T l, T x, T r){ return l <= x && x < r; } } // namespace noya2 #line 8 "/Users/noya2/Desktop/Noya2_library/template/template.hpp" #define rep(i,n) for (int i = 0; i < (int)(n); i++) #define repp(i,m,n) for (int i = (m); i < (int)(n); i++) #define reb(i,n) for (int i = (int)(n-1); i >= 0; i--) #define all(v) (v).begin(),(v).end() using ll = long long; using ld = long double; using uint = unsigned int; using ull = unsigned long long; using pii = pair; using pll = pair; using pil = pair; using pli = pair; namespace noya2{ /* ~ (. _________ . /) */ } using namespace noya2; #line 2 "c.cpp" // 5:28~ #line 2 "/Users/noya2/Desktop/Noya2_library/data_structure/csr.hpp" #line 4 "/Users/noya2/Desktop/Noya2_library/data_structure/csr.hpp" #include #line 7 "/Users/noya2/Desktop/Noya2_library/data_structure/csr.hpp" namespace noya2::internal { template struct csr { csr () {} csr (int _n) : n(_n) {} csr (int _n, int m) : n(_n){ start.reserve(m); elist.reserve(m); } // ACL style constructor (do not have to call build) csr (int _n, const std::vector> &idx_elem) : n(_n), start(_n + 2), elist(idx_elem.size()) { for (auto &[i, e] : idx_elem){ start[i + 2]++; } for (int i = 1; i < n; i++){ start[i + 2] += start[i + 1]; } for (auto &[i, e] : idx_elem){ elist[start[i + 1]++] = e; } prepared = true; } int add(int idx, E elem){ int eid = start.size(); start.emplace_back(idx); elist.emplace_back(elem); return eid; } void build(){ if (prepared) return ; int m = start.size(); std::vector nelist(m); std::vector nstart(n + 2, 0); for (int i = 0; i < m; i++){ nstart[start[i] + 2]++; } for (int i = 1; i < n; i++){ nstart[i + 2] += nstart[i + 1]; } for (int i = 0; i < m; i++){ nelist[nstart[start[i] + 1]++] = elist[i]; } swap(elist,nelist); swap(start,nstart); prepared = true; } const auto operator[](int idx) const { return std::ranges::subrange(elist.begin()+start[idx],elist.begin()+start[idx+1]); } auto operator[](int idx){ return std::ranges::subrange(elist.begin()+start[idx],elist.begin()+start[idx+1]); } const auto operator()(int idx, int l, int r) const { return std::ranges::subrange(elist.begin()+start[idx]+l,elist.begin()+start[idx]+r); } auto operator()(int idx, int l, int r){ return std::ranges::subrange(elist.begin()+start[idx]+l,elist.begin()+start[idx]+r); } size_t size() const { return n; } int n; std::vector start; std::vector elist; bool prepared = false; }; } // namespace noya2::internal #line 7 "c.cpp" const int nmx = 100'010; const int bmx = sqrt(nmx); const int mx = 10'000'010; // const int mx = 15; const int lim = sqrt(mx)*4; int cnt[mx]; // vector cnt(mx); bool ex[mx]; int id_pcn = 0; pii pcn[nmx]; int id_big_0 = 0; int buf_big[2]; int big[2][nmx*4]; void solve(){ int n, q; in(n,q); vector a(n); in(a); vector ids(n); iota(all(ids),0); ranges::sort(ids, {}, [&](int i){ return a[i]; }); vector pos(n); rep(i,n){ pos[ids[i]] = i; } vector ls(q), rs(q), xs(q); rep(i,q){ int l, r; in(l,r); l--; int x; in(x); char c; in(c); ls[i] = l, rs[i] = r; xs[i] = (c == 'L' ? x : ~x); } vector qids(q); iota(all(qids),0); ranges::sort(qids, {}, [&](int qi){ return ls[qi]; }); internal::csr qs(n/bmx+1); for (int qi : qids){ qs.add(rs[qi]/bmx,qi); } qs.build(); vector nxt(n,-1), prv(n,-1); auto add = [&](int d){ cnt[d]++; if (d >= lim){ big[id_big_0][buf_big[id_big_0]++] = d; } }; auto del = [&](int d){ cnt[d]--; if (d >= lim){ big[id_big_0][buf_big[id_big_0]++] = d; } }; rep(i,n-1){ nxt[i] = i+1; prv[i+1] = i; int d = a[ids[i+1]] - a[ids[i]]; add(d); } auto proc = [&](int i){ int p = pos[i]; pcn[id_pcn++] = [&] -> pii { if (nxt[p] != -1){ return {p, nxt[p]}; } else if (prv[p] != -1){ return {p, ~prv[p]}; } else { return {-1, p}; } }(); if (nxt[p] != -1){ int j = ids[nxt[p]]; del(a[j] - a[i]); prv[nxt[p]] = -1; } if (prv[p] != -1){ int j = ids[prv[p]]; del(a[i] - a[j]); nxt[prv[p]] = -1; } if (nxt[p] != -1 && prv[p] != -1){ int j = ids[nxt[p]]; int k = ids[prv[p]]; add(a[j] - a[k]); nxt[prv[p]] = nxt[p]; prv[nxt[p]] = prv[p]; } nxt[p] = prv[p] = -1; }; auto rollback = [&](){ auto [prvp, p, nxtp] = [&] -> tuple { auto [pp, np] = pcn[--id_pcn]; if (pp == -1){ return {-1, pp, -1}; } else if (np >= 0){ return {prv[np], pp, np}; } else { return {~np, pp, nxt[~np]}; } }(); prv[p] = prvp; nxt[p] = nxtp; int i = ids[p]; if (nxt[p] != -1){ int j = ids[nxt[p]]; add(a[j] - a[i]); prv[nxt[p]] = p; } if (prv[p] != -1){ int j = ids[prv[p]]; add(a[i] - a[j]); nxt[prv[p]] = p; } if (nxt[p] != -1 && prv[p] != -1){ int j = ids[nxt[p]]; int k = ids[prv[p]]; del(a[j] - a[k]); } }; auto query = [&](int x){ rep(i,buf_big[id_big_0]){ int d = big[id_big_0][i]; if (cnt[d] > 0){ ex[d] = true; } } rep(i,buf_big[id_big_0]){ int d = big[id_big_0][i]; if (ex[d]){ big[id_big_0^1][buf_big[id_big_0^1]++] = d; ex[d] = false; } } buf_big[id_big_0] = 0; id_big_0 ^= 1; if (x >= 0){ if (x >= lim){ int ans = -1; rep(i,buf_big[id_big_0]){ int d = big[id_big_0][i]; if (d <= x){ chmax(ans,d); } } if (ans != -1) return ans; } reb(d,min(lim,x+1)){ if (cnt[d] > 0){ return d; } } return -1; } else { x = ~x; if (x < lim){ repp(d,x,lim){ if (cnt[d] > 0){ return d; } } } int ans = iinf; rep(i,buf_big[id_big_0]){ int d = big[id_big_0][i]; if (d >= x){ chmin(ans,d); } } if (ans == iinf) return -1; return ans; } }; int l = 0, r = n; vector memo(q); reb(bid,n/bmx+1){ int br = min(n, (bid+1)*bmx); while (r > br){ int i = --r; proc(i); } for (int qi : qs[bid]){ int il = ls[qi]; while (l < il){ int i = l++; proc(i); } int ir = rs[qi]; while (r > ir){ int i = --r; proc(i); } memo[qi] = query(xs[qi]); while (r < br){ r++; rollback(); } } while (l > 0){ --l; rollback(); } } rep(i,q){ out(memo[i]); } } int main(){ int t = 1; //in(t); while (t--) { solve(); } }