結果

問題 No.1675 Strange Minimum Query
ユーザー satanic
提出日時 2021-09-10 22:08:17
言語 C++17
(gcc 13.3.0 + boost 1.87.0)
結果
WA  
実行時間 -
コード長 14,757 bytes
コンパイル時間 2,206 ms
コンパイル使用メモリ 165,524 KB
最終ジャッジ日時 2025-01-24 11:00:30
ジャッジサーバーID
(参考情報)
judge2 / judge1
このコードへのチャレンジ
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ファイルパターン 結果
sample AC * 3
other AC * 14 WA * 20
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ソースコード

diff #
プレゼンテーションモードにする

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//
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// need
#include <iostream>
#include <algorithm>
// data structure
#include <bitset>
#include <map>
#include <queue>
#include <set>
#include <stack>
#include <string>
#include <cstring>
#include <utility>
#include <vector>
#include <complex>
//#include <deque>
#include <valarray>
#include <unordered_map>
#include <unordered_set>
#include <array>
// etc
#include <cassert>
#include <cmath>
#include <functional>
#include <iomanip>
#include <chrono>
#include <random>
#include <numeric>
#include <fstream>
//std::ifstream ifs("d.in");
//auto& scan_in = ifs;
auto& scan_in = std::cin;
auto& scan_out = std::cout;
// input
#define INIT std::ios::sync_with_stdio(false);std::cin.tie(0);
#define VAR(type, ...)type __VA_ARGS__;MACRO_VAR_Scan(__VA_ARGS__);
template<typename T> void MACRO_VAR_Scan(T& t) { scan_in >> t; }
template<typename First, typename...Rest>void MACRO_VAR_Scan(First& first, Rest& ...rest) { scan_in >> first; MACRO_VAR_Scan(rest...); }
#define VEC_ROW(type, n, ...)std::vector<type> __VA_ARGS__;MACRO_VEC_ROW_Init(n, __VA_ARGS__); for(int w_=0; w_<n; ++w_){MACRO_VEC_ROW_Scan(w_,
    __VA_ARGS__);}
template<typename T> void MACRO_VEC_ROW_Init(int n, T& t) { t.resize(n); }
template<typename First, typename...Rest>void MACRO_VEC_ROW_Init(int n, First& first, Rest& ...rest) { first.resize(n); MACRO_VEC_ROW_Init(n, rest
    ...); }
template<typename T> void MACRO_VEC_ROW_Scan(int p, T& t) { scan_in >> t[p]; }
template<typename First, typename...Rest>void MACRO_VEC_ROW_Scan(int p, First& first, Rest& ...rest) { scan_in >> first[p]; MACRO_VEC_ROW_Scan(p,
    rest...); }
#define VEC(type, c, n) std::vector<type> c(n);for(auto& i:c)scan_in>>i;
#define MAT(type, c, m, n) std::vector<std::vector<type>> c(m, std::vector<type>(n));for(auto& R:c)for(auto& w:R)scan_in>>w;
// output
template<typename T>void MACRO_OUT(const T t) { scan_out << t; }
template<typename First, typename...Rest>void MACRO_OUT(const First first, const Rest...rest) { scan_out << first << ' '; MACRO_OUT(rest...); }
#define OUT(...) MACRO_OUT(__VA_ARGS__);
#define FOUT(n, dist) scan_out<<std::fixed<<std::setprecision(n)<<(dist);
#define SOUT(n, c, dist) scan_out<<std::setw(n)<<std::setfill(c)<<(dist);
#define VOUT(v) for(size_t i = 0; i < v.size(); ++i) {OUT(v[i]);if(i+1<v.size()){SP}}
#define EOUT(...) do{ OUT(__VA_ARGS__)BR; exit(0); }while(0);
#define SP scan_out<<' ';
#define TAB scan_out<<'\t';
#define BR scan_out<<'\n';
#define SPBR(w, n) scan_out<<(w + 1 == n ? '\n' : ' ');
#define ENDL scan_out<<std::endl;
#define FLUSH scan_out<<std::flush;
#define SHOW(dist) {std::cerr << #dist << "\t: " << (dist) << '\n';}
// utility
#define ALL(a) (a).begin(),(a).end()
#define FOR(w, a, n) for(int w=(a);w<(n);++w)
#define REP(w, n) FOR(w, 0, n)
#define RFOR(w, a, n) for(int w=(n)-1;w>=(a);--w)
#define RREP(w, n) RFOR(w, 0, n)
template<class S, class T, class U> bool IN(S a, T x, U b) { return a <= x && x < b; }
template<class T> inline bool CHMAX(T& a, const T b) { if (a < b) { a = b; return true; } return false; }
template<class T> inline bool CHMIN(T& a, const T b) { if (a > b) { a = b; return true; } return false; }
// test
template<class T> using V = std::vector<T>;
template<class T> using VV = V<V<T>>;
//
//std::ostream& operator<<(std::ostream& os, const __int128& t) {
// if (t >= 1000000000000000000) {
// os << (long long)(t / 1000000000000000000) << (long long)(t % 1000000000000000000);
// }
// else {
// os << (long long)t;
// }
// return os;
//}
template<typename S, typename T>
std::ostream& operator<<(std::ostream& os, const std::pair<S, T>& p) {
os << '(' << p.first << ',' << p.second << ')';
return os;
}
template<typename T>
std::ostream& operator<<(std::ostream& os, const std::vector<T>& v) {
os << '{';
for (size_t i = 0; i < v.size(); ++i) os << v[i] << ((i + 1 < v.size()) ? ',' : '}');
return os;
}
template<typename T>
std::ostream& operator<<(std::ostream& os, const std::set<T>& v) {
os << '{';
for (auto it = v.cbegin(); it != v.cend();) {
os << *it << (++it == v.cend() ? '}' : ',');
}
return os;
}
template<typename S, typename T>
std::ostream& operator<<(std::ostream& os, const std::map<S, T>& m) {
os << '{';
for (auto it = m.cbegin(); it != m.cend();) { os << it->first << ':' << it->second; ++it; os << (it != m.cend() ? ',' : '}'); }
return os;
}
template<typename T>
std::ostream& operator<<(std::ostream& os, std::queue<T> q) {
os << '<';
while (!q.empty()) { os << q.front(); q.pop(); os << (q.empty() ? '<' : ','); }
return os;
}
template<typename T>
std::ostream& operator<<(std::ostream& os, std::stack<T> q) {
os << '>';
while (!q.empty()) { os << q.top(); q.pop(); os << (q.empty() ? ']' : ','); }
return os;
}
namespace std {
template<typename S, typename T> class numeric_limits<pair<S, T>> {
public:
static constexpr pair<S, T> max() noexcept { return { numeric_limits<S>::max(), numeric_limits<T>::max() }; }
static constexpr pair<S, T> lowest() noexcept { return { numeric_limits<S>::lowest(), numeric_limits<T>::lowest() }; }
};
}
// type/const
using i64 = long long;
using u64 = unsigned long long;
using ll = long long;
using ull = unsigned long long;
using ld = long double;
using PAIR = std::pair<int, int>;
constexpr int INFINT = (1 << 30) - 1; // 1.07x10^ 9
constexpr int INFINT_LIM = (1LL << 31) - 1; // 2.15x10^ 9
constexpr long long INFLL = 1LL << 60; // 1.15x10^18
constexpr long long INFLL_LIM = (1LL << 62) - 1 + (1LL << 62); // 9.22x10^18
constexpr double EPS = 1e-12;
constexpr int MOD = 998244353;
constexpr double PI = 3.141592653589793238462643383279;
template<class T, size_t N> void FILL(T(&a)[N], const T& val) { for (auto& x : a) x = val; }
template<class ARY, size_t N, size_t M, class T> void FILL(ARY(&a)[N][M], const T& val) { for (auto& b : a) FILL(b, val); }
template<class T> void FILL(std::vector<T>& a, const T& val) { for (auto& x : a) x = val; }
template<class ARY, class T> void FILL(std::vector<std::vector<ARY>>& a, const T& val) { for (auto& b : a) FILL(b, val); }
// ------------>8------------------------>8------------
// ------------>8------------ SegmentTree ------------>8------------
namespace Monoid {
template <class T> class sum {
public:
using value_type = T;
inline static T operation(const T& a, const T& b) { return a + b; }
inline static T identity() { return T(0); }
};
template <class T> class max {
public:
using value_type = T;
inline static T operation(const T& a, const T& b) { return (a < b) ? b : a; }
inline static T identity() { return std::numeric_limits<T>::lowest(); }
};
template <class T> class min {
public:
using value_type = T;
inline static T operation(const T& a, const T& b) { return (a < b) ? a : b; }
inline static T identity() { return std::numeric_limits<T>::max(); }
};
class MONOID {
public:
struct S { int x; };
using value_type = S;
inline static S operation(const S& l, const S& r) { return S{ l.x + r.x }; }
inline static S identity() { return S{ 0 }; }
};
}
template <class Monoid>
class SegmentTree {
private:
using T = typename Monoid::value_type;
int ARY_SIZE;
std::vector<T> ary;
void init(int n) {
while (ARY_SIZE < n) ARY_SIZE <<= 1;
ary.resize(ARY_SIZE << 1, Monoid::identity());
}
public:
SegmentTree(int n) : ARY_SIZE(1) { init(n); }
SegmentTree(std::vector<T>& a) : ARY_SIZE(1) {
init(a.size());
std::copy(a.begin(), a.end(), ary.begin() + ARY_SIZE);
for (int i = ARY_SIZE - 1; i >= 1; --i) {
ary[i] = Monoid::operation(ary[i << 1], ary[(i << 1) + 1]);
}
}
// -- a[i] = val;
inline void update(int i, T val) {
i += ARY_SIZE;
ary[i] = val;
while (i > 1) {
i >>= 1;
ary[i] = Monoid::operation(ary[i << 1], ary[(i << 1) + 1]);
}
}
// -- a[i] += val;
inline void add(int i, T val) {
update(i, ary[i + ARY_SIZE] + val);
}
// -- [l, r)
inline T query(int l, int r) {
if (l >= r) return Monoid::identity();
T vl = Monoid::identity(), vr = Monoid::identity();
for (l += ARY_SIZE, r += ARY_SIZE; l != r; l >>= 1, r >>= 1) {
if (l & 1) vl = Monoid::operation(vl, ary[l++]);
if (r & 1) vr = Monoid::operation(ary[--r], vr);
}
return Monoid::operation(vl, vr);
}
T operator[](int i) { return ary[i + ARY_SIZE]; }
void debugShow() {
for (int i = ARY_SIZE; i < ARY_SIZE << 1; ++i) std::cerr << ary[i] << " ";
std::cerr << "\n";
}
};
// ------------8<------------ SegmentTree ------------8<------------
// Description: set(map)O(log)
// #### attention! : [l, r] ( include r, not [l, r) )
class SegmentMap : public std::map<signed, signed> {
private:
bool flagToMergeAdjacentSegment;
public:
// if merge [l, c] and [c+1, r], set flagToMergeAdjacentSegment to true
SegmentMap(bool flagToMergeAdjacentSegment) :
flagToMergeAdjacentSegment(flagToMergeAdjacentSegment) {}
// __exist -> iterator pair(l, r) (contain p)
// noexist -> map.end()
auto get(signed p) const {
auto it = upper_bound(p);
if (it == begin() || (--it)->second < p) return end();
return it;
}
// insert segment [l, r]
void insert(signed l, signed r) {
auto itl = upper_bound(l), itr = upper_bound(r + flagToMergeAdjacentSegment);
if (itl != begin()) {
if ((--itl)->second < l - flagToMergeAdjacentSegment) ++itl;
}
if (itl != itr) {
l = std::min(l, itl->first);
r = std::max(r, std::prev(itr)->second);
erase(itl, itr);
}
(*this)[l] = r;
}
// remove segment [l, r]
void remove(signed l, signed r) {
auto itl = upper_bound(l), itr = upper_bound(r);
if (itl != begin()) {
if ((--itl)->second < l) ++itl;
}
if (itl == itr) return;
int tl = std::min(l, itl->first), tr = std::max(r, std::prev(itr)->second);
erase(itl, itr);
if (tl < l) (*this)[tl] = l - 1;
if (r < tr) (*this)[r + 1] = tr;
}
// Is p and q in same segment?
bool same(signed p, signed q) const {
const auto&& it = get(p);
return it != end() && it->first <= q && q <= it->second;
}
};
signed main() {
INIT;
VAR(int, n, q);
VEC_ROW(int, q, l, r, b);
SegmentMap sm(true);
SegmentTree<Monoid::min<int>> st(n);
REP(i, n) st.update(i, 1000000000);
{
VV<int> d(q);
REP(i, q) d[i] = { --l[i], --r[i], b[i], i };
std::sort(ALL(d), [&](V<int>& tl, V<int>& tr) {
if (tl[2] == tr[2]) return tl[3] < tr[3];
return tl[2] > tr[2];
});
REP(i, q) {
l[i] = d[i][0];
r[i] = d[i][1];
b[i] = d[i][2];
}
}
REP(i, q) {
if (st.query(l[i], r[i] + 1) != b[i]) {
auto it = sm.get(l[i]);
if (it == sm.end()) {
st.update(l[i], b[i]);
}
else {
if (it->second < r[i]) {
st.update(it->second + 1, b[i]);
}
}
}
sm.insert(l[i], r[i]);
}
REP(i, q) {
if (st.query(l[i], r[i] + 1) != b[i]) { EOUT(-1); }
}
REP(i, n) {
OUT(st.query(i, i + 1))SPBR(i, n);
}
return 0;
}
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