This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using pii = array<int, 2>;
#define all(x) begin(x), end(x)
#define sz(x) (int) (x).size()
template <class Info, class Tag>
class LazySegtree {
private:
const int n;
vector<Info> t;
vector<Tag> lz;
void build(int v, int l, int r, const vector<Info> &a) {
if (l == r) {
t[v] = a[l];
} else {
int m = (l + r) >> 1;
build(2 * v, l, m, a);
build(2 * v + 1, m + 1, r, a);
t[v] = t[2 * v] + t[2 * v + 1];
}
}
void apply(int v, int l, int r, const Tag &x) {
t[v].apply(x, l, r);
lz[v].apply(x);
}
void pushdown(int v, int l, int r) {
int m = (l + r) >> 1;
apply(2 * v, l, m, lz[v]);
apply(2 * v + 1, m + 1, r, lz[v]);
lz[v] = Tag();
}
void upd(int v, int l, int r, int ql, int qr, const Tag &x) {
if (qr < l || ql > r) { return; }
if (ql <= l && r <= qr) {
apply(v, l, r, x);
} else {
pushdown(v, l, r);
int m = (l + r) >> 1;
upd(2 * v, l, m, ql, qr, x);
upd(2 * v + 1, m + 1, r, ql, qr, x);
t[v] = t[2 * v] + t[2 * v + 1];
}
}
Info qry(int v, int l, int r, int ql, int qr) {
if (qr < l || ql > r) return Info();
if (l >= ql && r <= qr) return t[v];
pushdown(v, l, r);
int m = (l + r) >> 1;
return qry(2 * v, l, m, ql, qr) + qry(2 * v + 1, m + 1, r, ql, qr);
}
public:
LazySegtree() {}
LazySegtree(int n) : n(n) {
t.assign(4 << __lg(n), Info());
lz.assign(4 << __lg(n), Tag());
}
LazySegtree(const vector<Info> &a) : n(a.size()) {
t.assign(4 << __lg(n), Info());
lz.assign(4 << __lg(n), Tag());
build(1, 0, n - 1, a);
}
/** updates [ql, qr] with the arbitrary update chosen */
void upd(int ql, int qr, const Tag &x) {
upd(1, 0, n - 1, ql, qr, x);
}
/** @return result of range query on [ql, qr] */
Info qry(int ql, int qr) {
return qry(1, 0, n - 1, ql, qr);
}
};
struct Tag {
int st = -1;
void apply(const Tag &t) {
if (t.st != -1) {
st = t.st;
}
}
};
struct Info {
int mx = -1, applied = -1;
void apply(const Tag &t, int l, int r) {
if (t.st != -1) {
applied = mx + t.st;
}
}
};
/** @return result of joining nodes a and b together */
Info operator+(const Info &a, const Info &b) {
return {max(a.mx, b.mx), max(a.applied, b.applied)};
}
int main() {
cin.tie(0) -> sync_with_stdio(0);
int n, q;
cin >> n >> q;
vector<int> w(n);
for (int &i : w) { cin >> i; }
vector<Info> arr(n);
for (int i = 0; i < n; i++) {
arr[i] = {w[i], 0};
}
LazySegtree<Info, Tag> st(arr);
vector<vector<array<int, 3>>> tests(n);
for (int i = 0; i < q; i++) {
int l, r, k;
cin >> l >> r >> k;
--l, --r;
tests[l].push_back({r, k, i});
}
vector<bool> res(q);
stack<int> stk;
for (int i = n - 1; i >= 0; i--) {
while (sz(stk) && w[stk.top()] <= w[i]) {
stk.pop();
}
int b = stk.empty() ? n : stk.top();
stk.push(i);
if (i + 1 <= b - 1) { st.upd(i + 1, b - 1, {w[i]}); }
for (const auto [r, k, idx] : tests[i]) {
res[idx] = st.qry(i + 1, r).applied <= k;
}
}
for (int i = 0; i < q; i++) {
cout << res[i] << "\n";
}
}
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