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*/
/*
* powered by ANDRIY POPYK
* in honor of MYSELF and SEGMENT DECOMPOSITION and N^(log(N)) and (Harry Potter and the Methods of Rationality) and Monkie D. Luffy
*/
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
//#pragma GCC optimize("O3")
//#pragma GCC target("avx,avx2,fma")
//#pragma GCC optimization ("unroll-loops")
//#pragma GCC target("avx,avx2,sse,sse2,sse3,sse4,popcnt")
using namespace std;
using namespace __gnu_pbds;
#define int long long
#define float long double
#define elif else if
#define endl "\n"
#define mod 1000000007
#define pi acos(-1)
#define eps 0.000000001
#define inf 1000'000'000'000'000'000LL
#define FIXED(a) cout << fixed << setprecision(a)
#define all(x) x.begin(), x.end()
#define rall(x) x.rbegin(), x.rend()
#define time_init auto start = std::chrono::high_resolution_clock::now()
#define time_report \
auto end = std::chrono::high_resolution_clock::now(); \
std::cout << std::chrono::duration_cast<std::chrono::milliseconds>(end - start).count() << " ms" << endl
#define debug(x) \
{ cerr << #x << " = " << x << endl; }
#define len(x) (int) x.size()
#define sqr(x) ((x) * (x))
#define cube(x) ((x) * (x) * (x))
#define bit(x, i) (((x) >> (i)) & 1)
#define set_bit(x, i) ((x) | (1LL << (i)))
#define clear_bit(x, i) ((x) & (~(1LL << (i))))
#define toggle_bit(x, i) ((x) ^ (1LL << (i)))
#define low_bit(x) ((x) & (-(x)))
#define count_bit(x) __builtin_popcountll(x)
#define srt(x) sort(all(x))
#define rsrt(x) sort(rall(x))
#define mp make_pair
#define maxel(x) (*max_element(all(x)))
#define minel(x) (*min_element(all(x)))
#define maxelpos(x) (max_element(all(x)) - x.begin())
#define minelpos(x) (min_element(all(x)) - x.begin())
#define sum(x) (accumulate(all(x), 0LL))
#define product(x) (accumulate(all(x), 1LL, multiplies<int>()))
#define gcd __gcd
#define lcm(a, b) ((a) / gcd(a, b) * (b))
#define rev(x) (reverse(all(x)))
#define shift_left(x, k) (rotate(x.begin(), x.begin() + k, x.end()))
#define shift_right(x, k) (rotate(x.rbegin(), x.rbegin() + k, x.rend()))
#define is_sorted(x) (is_sorted_until(all(x)) == x.end())
#define is_even(x) (((x) &1) == 0)
#define is_odd(x) (((x) &1) == 1)
#define pow2(x) (1LL << (x))
struct custom_hash {
static uint64_t splitmix64(uint64_t x) {
// http://xorshift.di.unimi.it/splitmix64.c
x += 0x9e3779b97f4a7c15;
x = (x ^ (x >> 30)) * 0xbf58476d1ce4e5b9;
x = (x ^ (x >> 27)) * 0x94d049bb133111eb;
return x ^ (x >> 31);
}
size_t operator()(uint64_t x) const {
static const uint64_t FIXED_RANDOM = chrono::steady_clock::now().time_since_epoch().count();
return splitmix64(x + FIXED_RANDOM);
}
};
template<typename T>
using min_heap = priority_queue<T, vector<T>, greater<T>>;
template<typename T>
using max_heap = priority_queue<T, vector<T>, less<T>>;
template<typename T>
using ordered_set = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
template<typename T>
using ordered_multiset = tree<T, null_type, less_equal<T>, rb_tree_tag, tree_order_statistics_node_update>;
template<typename T>
using matrix = vector<vector<T>>;
template<typename T>
using graph = vector<vector<T>>;
using hashmap = gp_hash_table<int, int, custom_hash>;
template<typename T>
vector<T> vect(int n, T val) {
return vector<T>(n, val);
}
template<typename T>
vector<vector<T>> vect(int n, int m, T val) {
return vector<vector<T>>(n, vector<T>(m, val));
}
template<typename T>
vector<vector<vector<T>>> vect(int n, int m, int k, T val) {
return vector<vector<vector<T>>>(n, vector<vector<T>>(m, vector<T>(k, val)));
}
template<typename T>
vector<vector<vector<vector<T>>>> vect(int n, int m, int k, int l, T val) {
return vector<vector<vector<vector<T>>>>(n, vector<vector<vector<T>>>(m, vector<vector<T>>(k, vector<T>(l, val))));
}
template<typename T>
matrix<T> new_matrix(int n, int m, T val) {
return matrix<T>(n, vector<T>(m, val));
}
template<typename T>
graph<T> new_graph(int n) {
return graph<T>(n);
}
template<class T, class S>
inline bool chmax(T &a, const S &b) {
return (a < b ? a = b, 1 : 0);
}
template<class T, class S>
inline bool chmin(T &a, const S &b) {
return (a > b ? a = b, 1 : 0);
}
using i8 = int8_t;
using i16 = int16_t;
using i32 = int32_t;
using i64 = int64_t;
using i128 = __int128_t;
using u8 = uint8_t;
using u16 = uint16_t;
using u32 = uint32_t;
using u64 = uint64_t;
using u128 = __uint128_t;
template<typename T>
using vec = vector<T>;
using pII = pair<int, int>;
template<typename T>
using enumerated = pair<T, int>;
template<typename T, typename P>
struct SegmentTree {
private:
function<T(const T &, const T &)> comb;
function<void(T &, const P, int, int)> apply_push;
function<void(P &, const P &)> merge_push;
function<pair<P, P>(const P &, int l, int r, int pos)> split_push;
size_t n;
vec<T> tree;
vec<optional<P>> pushes;
void push(int v, int tl, int tr) {
if (!pushes[v].has_value())
return;
if (tl != tr) {
int tm = (tl + tr) / 2;
auto [l, r] = split_push(pushes[v].value(), tl, tr, tm);
apply_push(tree[2 * v], l, tl, tm);
apply_push(tree[2 * v + 1], r, tm + 1, tr);
if (pushes[2 * v].has_value())
merge_push(pushes[2 * v].value(), l);
else
pushes[2 * v] = l;
if (pushes[2 * v + 1].has_value())
merge_push(pushes[2 * v + 1].value(), r);
else
pushes[2 * v + 1] = r;
}
pushes[v] = nullopt;
}
void build(int v, int tl, int tr, const vec<T> &a) {
if (tl == tr) {
tree[v] = a[tl];
return;
}
int tm = (tl + tr) / 2;
build(2 * v, tl, tm, a);
build(2 * v + 1, tm + 1, tr, a);
tree[v] = comb(tree[2 * v], tree[2 * v + 1]);
}
T get(int v, int tl, int tr, int l, int r) {
if (l > r)
return T();
if (l == tl && r == tr)
return tree[v];
push(v, tl, tr);
int tm = (tl + tr) / 2;
if (r <= tm)
return get(2 * v, tl, tm, l, r);
if (l > tm)
return get(2 * v + 1, tm + 1, tr, l, r);
return comb(get(2 * v, tl, tm, l, tm), get(2 * v + 1, tm + 1, tr, tm + 1, r));
}
void update(int v, int tl, int tr, int l, int r, const P &val) {
if (l > r)
return;
if (l == tl && r == tr) {
apply_push(tree[v], val, l, r);
if (pushes[v].has_value())
merge_push(pushes[v].value(), val);
else
pushes[v] = val;
return;
}
push(v, tl, tr);
int tm = (tl + tr) / 2;
if (r <= tm)
update(2 * v, tl, tm, l, r, val);
elif (l > tm)update(2 * v + 1, tm + 1, tr, l, r, val);
else {
auto [lval, rval] = split_push(val, l, r, tm);
update(2 * v, tl, tm, l, tm, lval);
update(2 * v + 1, tm + 1, tr, tm + 1, r, rval);
}
tree[v] = comb(tree[2 * v], tree[2 * v + 1]);
}
public:
SegmentTree(const function<T(const T &, const T &)> &comb,
const function<void(T &, const P, int, int)> &apply_push,
const function<void(P &, const P &)> &merge_push,
const function<pair<P, P>(const P &, int l, int r, int pos)> &split_push) :
comb(comb), apply_push(apply_push), merge_push(merge_push), split_push(split_push) {
}
T get(int l, int r) {
return get(1, 0, n - 1, l, r);
}
T operator[](int i) {
return get(i, i);
}
T operator()(int l, int r) {
return get(l, r);
}
void update(int l, int r, const P &val) {
update(1, 0, n - 1, l, r, val);
}
void init(int _n, const vec<T> &a) {
this->n = _n;
tree.resize(4 * n);
pushes.resize(4 * n);
build(1, 0, n - 1, a);
}
void init(const vec<T> &a) {
init(len(a), a);
}
void init(int _n, const T &val) {
init(_n, vect<T>(_n, val));
}
void reset() {
fill(all(tree), T());
fill(all(pushes), nullopt);
}
};
using Push = int;
auto split_push = [](const Push &p, int tl, int tr, int pos) {
return mp(p, p);
};
auto merge_push = [](Push &p, const Push &q) {
chmax(p, q);
};
auto apply_push = [](int &x, const Push &p, int l, int r) {
chmax(x, p);
};
auto comb = [](const int &x, const int &y) {
return max(x, y);
};
SegmentTree<int, Push> st(comb, apply_push, merge_push, split_push);
signed main() {
ios_base::sync_with_stdio(false);
cin.tie(nullptr);
cout.tie(nullptr);
int n, m;
cin >> n >> m;
vec<int> a(n);
for (int &i: a) cin >> i;
vec<int> stackMAX_pos;
vec<int> stackMAX;
vec<int> stackMAX_val;
st.init(n, 0);
struct query {
int l, r, k, id;
};
vec<query> queries(m);
for (int i = 0; i < m; i++) {
cin >> queries[i].l >> queries[i].r >> queries[i].k;
queries[i].l--;
queries[i].r--;
queries[i].id = i;
}
sort(all(queries), [](const query &a, const query &b) {
if (a.r == b.r) return a.l < b.l;
return a.r < b.r;
});
vec<int> ans(m, 0);
int ptr = 0;
for (int end = 0; end < n; end++) {
while (!stackMAX.empty() and stackMAX.back() <= a[end]) {
st.update(stackMAX_pos.back(), stackMAX_pos.back(), stackMAX_val.back() + stackMAX.back());
stackMAX.pop_back();
stackMAX_pos.pop_back();
stackMAX_val.pop_back();
}
if (!stackMAX.empty()) {
chmax(stackMAX_val.back(), a[end]);
st.update(stackMAX_pos.back(), stackMAX_pos.back(), stackMAX_val.back() + stackMAX.back());
}
stackMAX.push_back(a[end]);
stackMAX_pos.push_back(end);
stackMAX_val.push_back(-inf);
st.update(stackMAX_pos.back(), stackMAX_pos.back(), stackMAX_val.back() + stackMAX.back());
// if (stackMAX.empty() or stackMAX.back() <= a[end]) {
// stackMAX.push_back(a[end]);
// stackMAX_pos.push_back(end);
// stackMAX_val.push_back(-inf);
// } else {
// chmax(stackMAX_val.back(), a[end]);
// }
// st.update(len(stackMAX) - 1, len(stackMAX) - 1, stackMAX_val.back() + stackMAX.back());
while (ptr < m and queries[ptr].r == end) {
int l = queries[ptr].l;
int r = queries[ptr].r;
int k = queries[ptr].k;
int best = st.get(l, r);
ans[queries[ptr].id] = (best <= k);
ptr++;
}
}
for (int i = 0; i < m; i++) {
cout << ans[i] << endl;
}
}
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
0 ms |
348 KB |
Output is correct |
| 2 |
Correct |
0 ms |
348 KB |
Output is correct |
| 3 |
Correct |
1 ms |
348 KB |
Output is correct |
| 4 |
Correct |
0 ms |
348 KB |
Output is correct |
| 5 |
Correct |
1 ms |
348 KB |
Output is correct |
| 6 |
Correct |
1 ms |
344 KB |
Output is correct |
| 7 |
Correct |
1 ms |
348 KB |
Output is correct |
| 8 |
Correct |
1 ms |
348 KB |
Output is correct |
| 9 |
Correct |
1 ms |
348 KB |
Output is correct |
| 10 |
Correct |
1 ms |
348 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
0 ms |
348 KB |
Output is correct |
| 2 |
Correct |
0 ms |
348 KB |
Output is correct |
| 3 |
Correct |
1 ms |
348 KB |
Output is correct |
| 4 |
Correct |
0 ms |
348 KB |
Output is correct |
| 5 |
Correct |
1 ms |
348 KB |
Output is correct |
| 6 |
Correct |
1 ms |
344 KB |
Output is correct |
| 7 |
Correct |
1 ms |
348 KB |
Output is correct |
| 8 |
Correct |
1 ms |
348 KB |
Output is correct |
| 9 |
Correct |
1 ms |
348 KB |
Output is correct |
| 10 |
Correct |
1 ms |
348 KB |
Output is correct |
| 11 |
Correct |
3 ms |
604 KB |
Output is correct |
| 12 |
Correct |
5 ms |
860 KB |
Output is correct |
| 13 |
Correct |
5 ms |
860 KB |
Output is correct |
| 14 |
Correct |
6 ms |
1116 KB |
Output is correct |
| 15 |
Correct |
7 ms |
1184 KB |
Output is correct |
| 16 |
Correct |
5 ms |
1116 KB |
Output is correct |
| 17 |
Correct |
4 ms |
860 KB |
Output is correct |
| 18 |
Correct |
5 ms |
1116 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1748 ms |
165016 KB |
Output is correct |
| 2 |
Correct |
1708 ms |
176084 KB |
Output is correct |
| 3 |
Correct |
1706 ms |
175952 KB |
Output is correct |
| 4 |
Correct |
1697 ms |
176304 KB |
Output is correct |
| 5 |
Correct |
1516 ms |
175844 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
134 ms |
16300 KB |
Output is correct |
| 2 |
Correct |
145 ms |
16488 KB |
Output is correct |
| 3 |
Correct |
111 ms |
16708 KB |
Output is correct |
| 4 |
Correct |
113 ms |
16704 KB |
Output is correct |
| 5 |
Correct |
111 ms |
16708 KB |
Output is correct |
| 6 |
Correct |
109 ms |
16360 KB |
Output is correct |
| 7 |
Correct |
107 ms |
16452 KB |
Output is correct |
| 8 |
Correct |
113 ms |
16332 KB |
Output is correct |
| 9 |
Correct |
33 ms |
5712 KB |
Output is correct |
| 10 |
Correct |
107 ms |
16200 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
0 ms |
348 KB |
Output is correct |
| 2 |
Correct |
0 ms |
348 KB |
Output is correct |
| 3 |
Correct |
1 ms |
348 KB |
Output is correct |
| 4 |
Correct |
0 ms |
348 KB |
Output is correct |
| 5 |
Correct |
1 ms |
348 KB |
Output is correct |
| 6 |
Correct |
1 ms |
344 KB |
Output is correct |
| 7 |
Correct |
1 ms |
348 KB |
Output is correct |
| 8 |
Correct |
1 ms |
348 KB |
Output is correct |
| 9 |
Correct |
1 ms |
348 KB |
Output is correct |
| 10 |
Correct |
1 ms |
348 KB |
Output is correct |
| 11 |
Correct |
3 ms |
604 KB |
Output is correct |
| 12 |
Correct |
5 ms |
860 KB |
Output is correct |
| 13 |
Correct |
5 ms |
860 KB |
Output is correct |
| 14 |
Correct |
6 ms |
1116 KB |
Output is correct |
| 15 |
Correct |
7 ms |
1184 KB |
Output is correct |
| 16 |
Correct |
5 ms |
1116 KB |
Output is correct |
| 17 |
Correct |
4 ms |
860 KB |
Output is correct |
| 18 |
Correct |
5 ms |
1116 KB |
Output is correct |
| 19 |
Correct |
292 ms |
34604 KB |
Output is correct |
| 20 |
Correct |
298 ms |
35708 KB |
Output is correct |
| 21 |
Correct |
277 ms |
35392 KB |
Output is correct |
| 22 |
Correct |
277 ms |
35272 KB |
Output is correct |
| 23 |
Correct |
279 ms |
35384 KB |
Output is correct |
| 24 |
Correct |
236 ms |
35208 KB |
Output is correct |
| 25 |
Correct |
230 ms |
35128 KB |
Output is correct |
| 26 |
Correct |
242 ms |
35644 KB |
Output is correct |
| 27 |
Correct |
248 ms |
35392 KB |
Output is correct |
| 28 |
Correct |
238 ms |
35404 KB |
Output is correct |
| 29 |
Correct |
250 ms |
35396 KB |
Output is correct |
| 30 |
Correct |
240 ms |
35376 KB |
Output is correct |
| 31 |
Correct |
255 ms |
35484 KB |
Output is correct |
| 32 |
Correct |
249 ms |
35632 KB |
Output is correct |
| 33 |
Correct |
250 ms |
35380 KB |
Output is correct |
| 34 |
Correct |
226 ms |
35120 KB |
Output is correct |
| 35 |
Correct |
228 ms |
35104 KB |
Output is correct |
| 36 |
Correct |
230 ms |
34908 KB |
Output is correct |
| 37 |
Correct |
234 ms |
35112 KB |
Output is correct |
| 38 |
Correct |
244 ms |
35104 KB |
Output is correct |
| 39 |
Correct |
233 ms |
34020 KB |
Output is correct |
| 40 |
Correct |
170 ms |
26444 KB |
Output is correct |
| 41 |
Correct |
230 ms |
33608 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
0 ms |
348 KB |
Output is correct |
| 2 |
Correct |
0 ms |
348 KB |
Output is correct |
| 3 |
Correct |
1 ms |
348 KB |
Output is correct |
| 4 |
Correct |
0 ms |
348 KB |
Output is correct |
| 5 |
Correct |
1 ms |
348 KB |
Output is correct |
| 6 |
Correct |
1 ms |
344 KB |
Output is correct |
| 7 |
Correct |
1 ms |
348 KB |
Output is correct |
| 8 |
Correct |
1 ms |
348 KB |
Output is correct |
| 9 |
Correct |
1 ms |
348 KB |
Output is correct |
| 10 |
Correct |
1 ms |
348 KB |
Output is correct |
| 11 |
Correct |
3 ms |
604 KB |
Output is correct |
| 12 |
Correct |
5 ms |
860 KB |
Output is correct |
| 13 |
Correct |
5 ms |
860 KB |
Output is correct |
| 14 |
Correct |
6 ms |
1116 KB |
Output is correct |
| 15 |
Correct |
7 ms |
1184 KB |
Output is correct |
| 16 |
Correct |
5 ms |
1116 KB |
Output is correct |
| 17 |
Correct |
4 ms |
860 KB |
Output is correct |
| 18 |
Correct |
5 ms |
1116 KB |
Output is correct |
| 19 |
Correct |
1748 ms |
165016 KB |
Output is correct |
| 20 |
Correct |
1708 ms |
176084 KB |
Output is correct |
| 21 |
Correct |
1706 ms |
175952 KB |
Output is correct |
| 22 |
Correct |
1697 ms |
176304 KB |
Output is correct |
| 23 |
Correct |
1516 ms |
175844 KB |
Output is correct |
| 24 |
Correct |
134 ms |
16300 KB |
Output is correct |
| 25 |
Correct |
145 ms |
16488 KB |
Output is correct |
| 26 |
Correct |
111 ms |
16708 KB |
Output is correct |
| 27 |
Correct |
113 ms |
16704 KB |
Output is correct |
| 28 |
Correct |
111 ms |
16708 KB |
Output is correct |
| 29 |
Correct |
109 ms |
16360 KB |
Output is correct |
| 30 |
Correct |
107 ms |
16452 KB |
Output is correct |
| 31 |
Correct |
113 ms |
16332 KB |
Output is correct |
| 32 |
Correct |
33 ms |
5712 KB |
Output is correct |
| 33 |
Correct |
107 ms |
16200 KB |
Output is correct |
| 34 |
Correct |
292 ms |
34604 KB |
Output is correct |
| 35 |
Correct |
298 ms |
35708 KB |
Output is correct |
| 36 |
Correct |
277 ms |
35392 KB |
Output is correct |
| 37 |
Correct |
277 ms |
35272 KB |
Output is correct |
| 38 |
Correct |
279 ms |
35384 KB |
Output is correct |
| 39 |
Correct |
236 ms |
35208 KB |
Output is correct |
| 40 |
Correct |
230 ms |
35128 KB |
Output is correct |
| 41 |
Correct |
242 ms |
35644 KB |
Output is correct |
| 42 |
Correct |
248 ms |
35392 KB |
Output is correct |
| 43 |
Correct |
238 ms |
35404 KB |
Output is correct |
| 44 |
Correct |
250 ms |
35396 KB |
Output is correct |
| 45 |
Correct |
240 ms |
35376 KB |
Output is correct |
| 46 |
Correct |
255 ms |
35484 KB |
Output is correct |
| 47 |
Correct |
249 ms |
35632 KB |
Output is correct |
| 48 |
Correct |
250 ms |
35380 KB |
Output is correct |
| 49 |
Correct |
226 ms |
35120 KB |
Output is correct |
| 50 |
Correct |
228 ms |
35104 KB |
Output is correct |
| 51 |
Correct |
230 ms |
34908 KB |
Output is correct |
| 52 |
Correct |
234 ms |
35112 KB |
Output is correct |
| 53 |
Correct |
244 ms |
35104 KB |
Output is correct |
| 54 |
Correct |
233 ms |
34020 KB |
Output is correct |
| 55 |
Correct |
170 ms |
26444 KB |
Output is correct |
| 56 |
Correct |
230 ms |
33608 KB |
Output is correct |
| 57 |
Correct |
1722 ms |
176740 KB |
Output is correct |
| 58 |
Correct |
1677 ms |
176760 KB |
Output is correct |
| 59 |
Correct |
1647 ms |
176916 KB |
Output is correct |
| 60 |
Correct |
1670 ms |
176916 KB |
Output is correct |
| 61 |
Correct |
1738 ms |
176720 KB |
Output is correct |
| 62 |
Correct |
1731 ms |
176808 KB |
Output is correct |
| 63 |
Correct |
1287 ms |
175060 KB |
Output is correct |
| 64 |
Correct |
1280 ms |
174800 KB |
Output is correct |
| 65 |
Correct |
1412 ms |
176840 KB |
Output is correct |
| 66 |
Correct |
1465 ms |
176900 KB |
Output is correct |
| 67 |
Correct |
1599 ms |
176844 KB |
Output is correct |
| 68 |
Correct |
1481 ms |
177016 KB |
Output is correct |
| 69 |
Correct |
1474 ms |
176664 KB |
Output is correct |
| 70 |
Correct |
1528 ms |
176756 KB |
Output is correct |
| 71 |
Correct |
1489 ms |
176752 KB |
Output is correct |
| 72 |
Correct |
1494 ms |
176752 KB |
Output is correct |
| 73 |
Correct |
1266 ms |
173032 KB |
Output is correct |
| 74 |
Correct |
1332 ms |
174268 KB |
Output is correct |
| 75 |
Correct |
1308 ms |
173304 KB |
Output is correct |
| 76 |
Correct |
1379 ms |
173284 KB |
Output is correct |
| 77 |
Correct |
1404 ms |
173292 KB |
Output is correct |
| 78 |
Correct |
1491 ms |
170612 KB |
Output is correct |
| 79 |
Correct |
898 ms |
117352 KB |
Output is correct |
| 80 |
Correct |
1499 ms |
167780 KB |
Output is correct |
