This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
// "We create our own demons"
#include <bits/stdc++.h>
using namespace std;
#ifdef ONPC
#include "debug.h"
#else
#define dbg(...)
#endif
#define int long long
#define ll long long
#define ld long double
#define pi pair<int, int>
// vector
#define sz(a) (int)((a).size())
#define all(a) a.begin(), a.end()
#define rall(a) a.rbegin(), a.rend()
#define maxel(x) (*max_element(all(x)))
#define minel(x) (*min_element(all(x)))
#define maxpos(x) (max_element(all(x)) - x.begin())
#define minpos(x) (min_element(all(x)) - x.begin())
#define rev(x) (reverse(all(x)))
// bits
#define popcount(n) __builtin_popcountll(n)
#define clz(n) __builtin_clzll(n)
// math
#define sqr(n) ((n) * (n))
#define divup(a, b) (((a) + (b)-1) / (b))
// ostream
#define Fixed(a) cout << fixed << setprecision(12) << a;
template <class T> bool chmin(T& a, const T& b) { return b < a ? a = b, 1 : 0; }
template <class T> bool chmax(T& a, const T& b) { return b > a ? a = b, 1 : 0; }
template <class T> using min_queue = priority_queue<T, vector<T>, greater<T>>;
template <class T> using max_queue = priority_queue<T, vector<T>, less<T>>;
template <class T> using V = vector<T>;
using vi = V<int>;
using vd = V<ld>;
using vb = V<bool>;
using vpi = V<pi>;
using vvi = V<vi>;
using vvb = V<vb>;
const int mod = 1e9 + 7; // 998244353 1e9 + 7
const ll inf = (int)(1e18) + 7;
const int inf_s = 1e9 + 7;
const ld eps = 1e-9;
const int B = 32;
const int N = 1000 + 3;
const int logn = 21;
const int maxn = 1e6 + 7;
/////////////////////////solve/////////////////////////
struct segtree {
public:
struct node {
int mx = 0;
void apply(int tl, int tr, int x) {
mx = x;
}
};
private:
int n;
V<node> tree;
node unite(const node &a, const node &b) {
node res;
res.mx = max(a.mx, b.mx);
return res;
}
void push(int v, int tl, int tr) {
}
template <class T>
void build(const V<T>& a, int v, int tl, int tr) {
if (tr - tl == 1) {
tree[v].apply(tl, tr, a[tl]);
return;
}
int tm = (tl + tr) >> 1;
build(a, 2 * v, tl, tm);
build(a, 2 * v + 1, tm, tr);
tree[v] = unite(tree[2 * v], tree[2 * v + 1]);
}
void build(int v, int tl, int tr) {
if (tr - tl == 1) {
return;
}
int tm = (tl + tr) >> 1;
build(2 * v, tl, tm);
build(2 * v + 1, tm, tr);
tree[v] = unite(tree[2 * v], tree[2 * v + 1]);
}
template <class T>
void update(int l, int r, const T &x, int v, int tl, int tr) {
if (tl >= r || tr <= l) return;
if (tl >= l && tr <= r) {
tree[v].apply(tl, tr, x);
return;
}
int tm = (tl + tr) >> 1;
push(v, tl, tr);
update(l, r, x, 2 * v, tl, tm);
update(l, r, x, 2 * v + 1, tm, tr);
tree[v] = unite(tree[2 * v], tree[2 * v + 1]);
}
node get(int l, int r, int v, int tl, int tr) {
if (tl >= l && tr <= r) return tree[v];
int tm = (tl + tr) >> 1;
push(v, tl, tr);
if (tm <= l) return get(l, r, 2 * v + 1, tm, tr);
if (tm >= r) return get(l, r, 2 * v, tl, tm);
return unite(get(l, r, 2 * v, tl, tm),
get(l, r, 2 * v + 1, tm, tr));
}
public:
segtree(int n) : n(n) {
tree.resize(4 * n);
build(1, 0, n);
}
template <class T>
segtree(const V<T>& a) {
n = sz(a);
tree.resize(4 * n);
build(a, 1, 0, n);
}
template <class T>
void update(int l, int r, const T& x) {
update(l, r + 1, x, 1, 0, n);
}
template <class T>
void update(int i, const T& x) {
update(i, i + 1, x, 1, 0, n);
}
node get(int l, int r) {
if (l > r) return {-inf};
return get(l, r + 1, 1, 0, n);
}
node get(int i) {
return get(i, i + 1, 1, 0, n);
}
};
struct query {
int r, k, qi;
};
V<query> L[maxn];
int ans[maxn];
void solve() {
int n, m;
cin >> n >> m;
vi a(n);
for (int i = 0; i < n; ++i) {
cin >> a[i];
}
for (int qi = 0; qi < m; ++qi) {
int l, r, k;
cin >> l >> r >> k;
--l; --r;
L[l].push_back({r, k, qi});
}
segtree st1(a), st2(n);
vi st;
st.push_back(n);
for (int i = n - 1; i >= 0; --i) {
while (sz(st) > 1 && a[st.back()] < a[i]) {
int j = st.back();
st.pop_back();
st2.update(j, 0);
}
int mx = st1.get(i + 1, st.back() - 1).mx;
dbg(i, a[i], mx, st.back());
st2.update(i, a[i] + mx);
st.push_back(i);
for (auto& [r, k, qi] : L[i]) {
dbg(st);
auto it = upper_bound(rall(st), r);
dbg(*it, r);
int res = 0;
--it;
dbg(i, *it);
chmax(res, st2.get(i, *it - 1).mx);
dbg(res);
if (*it != n) {
chmax(res, a[*it] + st1.get(*it + 1, r).mx);
}
dbg(res);
ans[qi] = (res <= k);
}
}
for (int qi = 0; qi < m; ++qi) {
cout << ans[qi] << "\n";
}
}
signed main() {
ios_base::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
#ifdef ONPC
freopen("input.txt", "r", stdin);
freopen("output.txt", "w", stdout);
freopen("error.txt", "w", stderr);
#endif
int t = 1;
//cin >> t;
for (int i = 1; i <= t; ++i) {
#ifdef ONPC
cerr << "===========" << i << "===========" << '\n';
#endif
solve();
}
#ifdef ONPC
cerr << endl << "Time " << clock() * 1.0 / CLOCKS_PER_SEC << " sec" << endl;
#endif
}
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