This documentation is automatically generated by online-judge-tools/verification-helper
// competitive-verifier: PROBLEM https://judge.yosupo.jp/problem/staticrmq
#include "../../template/template.hpp"
#include "../../other/offline-rmq.hpp"
#include "../../other/scanner.hpp"
#include "../../other/printer.hpp"
int main() {
Scanner in(stdin);
Printer out(stdout);
int N, Q;
in.read(N, Q);
vector< int > A(N);
in.read(A);
vector< pair< int, int > > qs(Q);
for(auto&[l, r]: qs) in.read(l, r);
auto ans = offline_rmq(qs, [&](int a, int b) { return A[a] < A[b]; });
for(int i = 0; i < Q; i++) out.writeln(A[ans[i]]);
}
#line 1 "test/verify/yosupo-staticrmq-6.test.cpp"
// competitive-verifier: PROBLEM https://judge.yosupo.jp/problem/staticrmq
#line 1 "template/template.hpp"
#include <bits/stdc++.h>
using namespace std;
using int64 = long long;
const int64 infll = (1LL << 62) - 1;
const int inf = (1 << 30) - 1;
struct IoSetup {
IoSetup() {
cin.tie(nullptr);
ios::sync_with_stdio(false);
cout << fixed << setprecision(10);
cerr << fixed << setprecision(10);
}
} iosetup;
template <typename T1, typename T2>
ostream &operator<<(ostream &os, const pair<T1, T2> &p) {
os << p.first << " " << p.second;
return os;
}
template <typename T1, typename T2>
istream &operator>>(istream &is, pair<T1, T2> &p) {
is >> p.first >> p.second;
return is;
}
template <typename T>
ostream &operator<<(ostream &os, const vector<T> &v) {
for (int i = 0; i < (int)v.size(); i++) {
os << v[i] << (i + 1 != v.size() ? " " : "");
}
return os;
}
template <typename T>
istream &operator>>(istream &is, vector<T> &v) {
for (T &in : v) is >> in;
return is;
}
template <typename T1, typename T2>
inline bool chmax(T1 &a, T2 b) {
return a < b && (a = b, true);
}
template <typename T1, typename T2>
inline bool chmin(T1 &a, T2 b) {
return a > b && (a = b, true);
}
template <typename T = int64>
vector<T> make_v(size_t a) {
return vector<T>(a);
}
template <typename T, typename... Ts>
auto make_v(size_t a, Ts... ts) {
return vector<decltype(make_v<T>(ts...))>(a, make_v<T>(ts...));
}
template <typename T, typename V>
typename enable_if<is_class<T>::value == 0>::type fill_v(T &t, const V &v) {
t = v;
}
template <typename T, typename V>
typename enable_if<is_class<T>::value != 0>::type fill_v(T &t, const V &v) {
for (auto &e : t) fill_v(e, v);
}
template <typename F>
struct FixPoint : F {
explicit FixPoint(F &&f) : F(forward<F>(f)) {}
template <typename... Args>
decltype(auto) operator()(Args &&...args) const {
return F::operator()(*this, forward<Args>(args)...);
}
};
template <typename F>
inline decltype(auto) MFP(F &&f) {
return FixPoint<F>{forward<F>(f)};
}
#line 4 "test/verify/yosupo-staticrmq-6.test.cpp"
#line 2 "structure/union-find/union-find.hpp"
struct UnionFind {
vector<int> data;
UnionFind() = default;
explicit UnionFind(size_t sz) : data(sz, -1) {}
bool unite(int x, int y) {
x = find(x), y = find(y);
if (x == y) return false;
if (data[x] > data[y]) swap(x, y);
data[x] += data[y];
data[y] = x;
return true;
}
int find(int k) {
if (data[k] < 0) return (k);
return data[k] = find(data[k]);
}
int size(int k) { return -data[find(k)]; }
bool same(int x, int y) { return find(x) == find(y); }
vector<vector<int> > groups() {
int n = (int)data.size();
vector<vector<int> > ret(n);
for (int i = 0; i < n; i++) {
ret[find(i)].emplace_back(i);
}
ret.erase(remove_if(begin(ret), end(ret),
[&](const vector<int> &v) { return v.empty(); }),
end(ret));
return ret;
}
};
#line 2 "other/offline-rmq.hpp"
/**
* @brief Offline RMQ
**/
template <typename Comp>
vector<int> offline_rmq(vector<pair<int, int> > &qs, const Comp &comp) {
int n = 0;
for (auto &[l, r] : qs) n = max(n, r);
UnionFind uf(n);
vector<int> st(n), mark(n), ans(qs.size());
int top = -1;
for (auto &[l, r] : qs) mark[r - 1]++;
vector<vector<int> > q(n);
for (int i = 0; i < n; i++) {
q[i].reserve(mark[i]);
}
for (int i = 0; i < qs.size(); i++) {
q[qs[i].second - 1].emplace_back(i);
}
for (int i = 0; i < n; i++) {
while (~top and not comp(st[top], i)) {
uf.unite(st[top--], i);
}
st[++top] = i;
mark[uf.find(i)] = i;
for (auto &j : q[i]) {
ans[j] = mark[uf.find(qs[j].first)];
}
}
return ans;
}
#line 6 "test/verify/yosupo-staticrmq-6.test.cpp"
#line 1 "other/scanner.hpp"
/**
* @brief Scanner(高速入力)
*/
struct Scanner {
public:
explicit Scanner(FILE *fp) : fp(fp) {}
template <typename T, typename... E>
void read(T &t, E &...e) {
read_single(t);
read(e...);
}
private:
static constexpr size_t line_size = 1 << 16;
static constexpr size_t int_digits = 20;
char line[line_size + 1] = {};
FILE *fp = nullptr;
char *st = line;
char *ed = line;
void read() {}
static inline bool is_space(char c) { return c <= ' '; }
void reread() {
ptrdiff_t len = ed - st;
memmove(line, st, len);
char *tmp = line + len;
ed = tmp + fread(tmp, 1, line_size - len, fp);
*ed = 0;
st = line;
}
void skip_space() {
while (true) {
if (st == ed) reread();
while (*st && is_space(*st)) ++st;
if (st != ed) return;
}
}
template <typename T, enable_if_t<is_integral<T>::value, int> = 0>
void read_single(T &s) {
skip_space();
if (st + int_digits >= ed) reread();
bool neg = false;
if (is_signed<T>::value && *st == '-') {
neg = true;
++st;
}
typename make_unsigned<T>::type y = *st++ - '0';
while (*st >= '0') {
y = 10 * y + *st++ - '0';
}
s = (neg ? -y : y);
}
template <typename T, enable_if_t<is_same<T, string>::value, int> = 0>
void read_single(T &s) {
s = "";
skip_space();
while (true) {
char *base = st;
while (*st && !is_space(*st)) ++st;
s += string(base, st);
if (st != ed) return;
reread();
}
}
template <typename T>
void read_single(vector<T> &s) {
for (auto &d : s) read(d);
}
};
#line 1 "other/printer.hpp"
/**
* @brief Printer(高速出力)
*/
struct Printer {
public:
explicit Printer(FILE *fp) : fp(fp) {}
~Printer() { flush(); }
template <bool f = false, typename T, typename... E>
void write(const T &t, const E &...e) {
if (f) write_single(' ');
write_single(t);
write<true>(e...);
}
template <typename... T>
void writeln(const T &...t) {
write(t...);
write_single('\n');
}
void flush() {
fwrite(line, 1, st - line, fp);
st = line;
}
private:
FILE *fp = nullptr;
static constexpr size_t line_size = 1 << 16;
static constexpr size_t int_digits = 20;
char line[line_size + 1] = {};
char *st = line;
template <bool f = false>
void write() {}
void write_single(const char &t) {
if (st + 1 >= line + line_size) flush();
*st++ = t;
}
template <typename T, enable_if_t<is_integral<T>::value, int> = 0>
void write_single(T s) {
if (st + int_digits >= line + line_size) flush();
st += to_chars(st, st + int_digits, s).ptr - st;
}
void write_single(const string &s) {
for (auto &c : s) write_single(c);
}
void write_single(const char *s) {
while (*s != 0) write_single(*s++);
}
template <typename T>
void write_single(const vector<T> &s) {
for (size_t i = 0; i < s.size(); i++) {
if (i) write_single(' ');
write_single(s[i]);
}
}
};
#line 9 "test/verify/yosupo-staticrmq-6.test.cpp"
int main() {
Scanner in(stdin);
Printer out(stdout);
int N, Q;
in.read(N, Q);
vector< int > A(N);
in.read(A);
vector< pair< int, int > > qs(Q);
for(auto&[l, r]: qs) in.read(l, r);
auto ans = offline_rmq(qs, [&](int a, int b) { return A[a] < A[b]; });
for(int i = 0; i < Q; i++) out.writeln(A[ans[i]]);
}
Env | Name | Status | Elapsed | Memory |
---|---|---|---|---|
g++ | example_00 | AC | 6 ms | 4 MB |
g++ | max_random_00 | AC | 76 ms | 38 MB |
g++ | max_random_01 | AC | 78 ms | 38 MB |
g++ | max_random_02 | AC | 78 ms | 38 MB |
g++ | max_random_03 | AC | 76 ms | 38 MB |
g++ | max_random_04 | AC | 75 ms | 38 MB |
g++ | random_00 | AC | 63 ms | 31 MB |
g++ | random_01 | AC | 67 ms | 34 MB |
g++ | random_02 | AC | 29 ms | 12 MB |
g++ | random_03 | AC | 26 ms | 21 MB |
g++ | random_04 | AC | 31 ms | 18 MB |
g++ | small_00 | AC | 6 ms | 4 MB |
g++ | small_01 | AC | 6 ms | 4 MB |
g++ | small_02 | AC | 6 ms | 4 MB |
g++ | small_03 | AC | 6 ms | 4 MB |
g++ | small_04 | AC | 6 ms | 4 MB |
g++ | small_05 | AC | 6 ms | 4 MB |
g++ | small_06 | AC | 6 ms | 4 MB |
g++ | small_07 | AC | 6 ms | 4 MB |
g++ | small_08 | AC | 6 ms | 4 MB |
g++ | small_09 | AC | 6 ms | 4 MB |
g++ | small_width_query_00 | AC | 82 ms | 39 MB |
g++ | small_width_query_01 | AC | 83 ms | 39 MB |
g++ | small_width_query_02 | AC | 82 ms | 39 MB |
g++ | small_width_query_03 | AC | 82 ms | 39 MB |
g++ | small_width_query_04 | AC | 82 ms | 39 MB |
clang++ | example_00 | AC | 7 ms | 4 MB |
clang++ | max_random_00 | AC | 84 ms | 38 MB |
clang++ | max_random_01 | AC | 85 ms | 38 MB |
clang++ | max_random_02 | AC | 86 ms | 38 MB |
clang++ | max_random_03 | AC | 85 ms | 38 MB |
clang++ | max_random_04 | AC | 86 ms | 38 MB |
clang++ | random_00 | AC | 71 ms | 31 MB |
clang++ | random_01 | AC | 74 ms | 34 MB |
clang++ | random_02 | AC | 33 ms | 12 MB |
clang++ | random_03 | AC | 29 ms | 21 MB |
clang++ | random_04 | AC | 33 ms | 18 MB |
clang++ | small_00 | AC | 6 ms | 4 MB |
clang++ | small_01 | AC | 6 ms | 4 MB |
clang++ | small_02 | AC | 6 ms | 4 MB |
clang++ | small_03 | AC | 6 ms | 4 MB |
clang++ | small_04 | AC | 6 ms | 4 MB |
clang++ | small_05 | AC | 6 ms | 4 MB |
clang++ | small_06 | AC | 6 ms | 4 MB |
clang++ | small_07 | AC | 6 ms | 4 MB |
clang++ | small_08 | AC | 6 ms | 4 MB |
clang++ | small_09 | AC | 6 ms | 4 MB |
clang++ | small_width_query_00 | AC | 89 ms | 39 MB |
clang++ | small_width_query_01 | AC | 90 ms | 39 MB |
clang++ | small_width_query_02 | AC | 90 ms | 39 MB |
clang++ | small_width_query_03 | AC | 90 ms | 39 MB |
clang++ | small_width_query_04 | AC | 89 ms | 39 MB |