結果
| 問題 |
No.1675 Strange Minimum Query
|
| コンテスト | |
| ユーザー |
unyon_maru65536
|
| 提出日時 | 2021-09-10 21:37:20 |
| 言語 | C++14 (gcc 13.3.0 + boost 1.87.0) |
| 結果 |
AC
|
| 実行時間 | 718 ms / 2,000 ms |
| コード長 | 18,091 bytes |
| コンパイル時間 | 4,577 ms |
| コンパイル使用メモリ | 247,252 KB |
| 実行使用メモリ | 46,548 KB |
| 最終ジャッジ日時 | 2024-06-11 22:49:54 |
| 合計ジャッジ時間 | 16,653 ms |
|
ジャッジサーバーID (参考情報) |
judge4 / judge5 |
(要ログイン)
| ファイルパターン | 結果 |
|---|---|
| sample | AC * 3 |
| other | AC * 34 |
ソースコード
#ifdef LOCAL
#define _GLIBCXX_DEBUG
#endif
#include <bits/stdc++.h>
using namespace std;
#if __has_include(<atcoder/all>)
#include <atcoder/all>
using namespace atcoder;
#endif
#pragma region Macros
// rep macro
#define foa(v, a) for(auto &v : a)
#define REPname(a, b, c, d, e, ...) e
#define REP(...) REPname(__VA_ARGS__, REP3, REP2, REP1, REP0)(__VA_ARGS__)
#define REP0(x) for(int i = 0; i < (x); ++i)
#define REP1(i, x) for(int i = 0; i < (x); ++i)
#define REP2(i, l, r) for(int i = (l); i < (r); ++i)
#define REP3(i, l, r, c) for(int i = (l); i < (r); i += (c))
#define REPSname(a, b, c, ...) c
#define REPS(...) REPSname(__VA_ARGS__, REPS1, REPS0)(__VA_ARGS__)
#define REPS0(x) for(int i = 1; i <= (x); ++i)
#define REPS1(i, x) for(int i = 1; i <= (x); ++i)
#define RREPname(a, b, c, d, e, ...) e
#define RREP(...) RREPname(__VA_ARGS__, RREP3, RREP2, RREP1, RREP0)(__VA_ARGS__)
#define RREP0(x) for(int i = (x)-1; i >= 0; --i)
#define RREP1(i, x) for(int i = (x)-1; i >= 0; --i)
#define RREP2(i, l, r) for(int i = (r)-1; i >= (l); --i)
#define RREP3(i, l, r, c) for(int i = (r)-1; i >= (l); i -= (c))
#define RREPSname(a, b, c, ...) c
#define RREPS(...) RREPSname(__VA_ARGS__, RREPS1, RREPS0)(__VA_ARGS__)
#define RREPS0(x) for(int i = (x); i >= 1; --i)
#define RREPS1(i, x) for(int i = (x); i >= 1; --i)
// name macro
#define fi first
#define se second
#define pb push_back
#define eb emplace_back
#define SZ(x) ((int)(x).size())
#define all(x) (x).begin(), (x).end()
#define rall(x) (x).rbegin(), (x).rend()
#define popcnt(x) __builtin_popcountll(x)
template <class T = int>
using V = std::vector<T>;
template <class T = int>
using VV = std::vector<std::vector<T>>;
template <class T = int>
using VVV = std::vector<std::vector<std::vector<T>>>;
template <class T>
using pqup = std::priority_queue<T, std::vector<T>, std::greater<T>>;
using ll = long long;
using ld = long double;
using int128 = __int128_t;
using pii = std::pair<int, int>;
using pll = std::pair<long long, long long>;
using Tp = tuple<ll,ll,ll>;
// input macro
template <class T, class U>
std::istream &operator>>(std::istream &is, std::pair<T, U> &p) {
is >> p.first >> p.second;
return is;
}
template <class T>
std::istream &operator>>(std::istream &is, std::vector<T> &v) {
for(T &i : v) is >> i;
return is;
}
std::istream &operator>>(std::istream &is, __int128_t &a) {
std::string s;
is >> s;
__int128_t ret = 0;
for(int i = 0; i < s.length(); i++)
if('0' <= s[i] and s[i] <= '9')
ret = 10 * ret + s[i] - '0';
a = ret * (s[0] == '-' ? -1 : 1);
return is;
}
namespace scanner {
void scan(int &a) { std::cin >> a; }
void scan(long long &a) { std::cin >> a; }
void scan(std::string &a) { std::cin >> a; }
void scan(char &a) { std::cin >> a; }
void scan(char a[]) { std::scanf("%s", a); }
void scan(double &a) { std::cin >> a; }
void scan(long double &a) { std::cin >> a; }
template <class T, class U>
void scan(std::pair<T, U> &p) { std::cin >> p; }
template <class T>
void scan(std::vector<T> &a) { std::cin >> a; }
void INPUT() {}
template <class Head, class... Tail>
void INPUT(Head &head, Tail &... tail) {
scan(head);
INPUT(tail...);
}
} // namespace scanner
#define VEC(type, name, size) \
std::vector<type> name(size); \
scanner::INPUT(name)
#define VVEC(type, name, h, w) \
std::vector<std::vector<type>> name(h, std::vector<type>(w)); \
scanner::INPUT(name)
#define INT(...) \
int __VA_ARGS__; \
scanner::INPUT(__VA_ARGS__)
#define LL(...) \
long long __VA_ARGS__; \
scanner::INPUT(__VA_ARGS__)
#define STR(...) \
std::string __VA_ARGS__; \
scanner::INPUT(__VA_ARGS__)
#define CHAR(...) \
char __VA_ARGS__; \
scanner::INPUT(__VA_ARGS__)
#define DOUBLE(...) \
double __VA_ARGS__; \
scanner::INPUT(__VA_ARGS__)
#define LD(...) \
long double __VA_ARGS__; \
scanner::INPUT(__VA_ARGS__)
// output-macro
template <class T, class U>
std::ostream &operator<<(std::ostream &os, const std::pair<T, U> &p) {
os << p.first << " " << p.second;
return os;
}
template <class T>
std::ostream &operator<<(std::ostream &os, const std::vector<T> &a) {
for(int i = 0; i < int(a.size()); ++i) {
if(i) os << " ";
os << a[i];
}
return os;
}
std::ostream &operator<<(std::ostream &dest, __int128_t &value) {
std::ostream::sentry s(dest);
if(s) {
__uint128_t tmp = value < 0 ? -value : value;
char buffer[128];
char *d = std::end(buffer);
do {
--d;
*d = "0123456789"[tmp % 10];
tmp /= 10;
} while(tmp != 0);
if(value < 0) {
--d;
*d = '-';
}
int len = std::end(buffer) - d;
if(dest.rdbuf()->sputn(d, len) != len) {
dest.setstate(std::ios_base::badbit);
}
}
return dest;
}
template <class T>
void print(const T a) { std::cout << a << '\n'; }
template <class Head, class... Tail>
void print(Head H, Tail... T) {
std::cout << H << ' ';
print(T...);
}
template <class T>
void printel(const T a) { std::cout << a << '\n'; }
template <class T>
void printel(const std::vector<T> &a) {
for(const auto &v : a)
std::cout << v << '\n';
}
template <class Head, class... Tail>
void printel(Head H, Tail... T) {
std::cout << H << '\n';
printel(T...);
}
void Yes(const bool b = true) { std::cout << (b ? "Yes\n" : "No\n"); }
void No() { std::cout << "No\n"; }
void YES(const bool b = true) { std::cout << (b ? "YES\n" : "NO\n"); }
void NO() { std::cout << "No\n"; }
void err(const bool b = true) {
if(b) {
std::cout << "-1\n", exit(0);
}
}
//debug macro
namespace debugger {
template <class T>
void view(const std::vector<T> &a) {
std::cerr << "{ ";
for(const auto &v : a) {
std::cerr << v << ", ";
}
std::cerr << "\b\b }";
}
template <class T>
void view(const std::vector<std::vector<T>> &a) {
std::cerr << "{\n";
for(const auto &v : a) {
std::cerr << "\t";
view(v);
std::cerr << "\n";
}
std::cerr << "}";
}
template <class T, class U>
void view(const std::vector<std::pair<T, U>> &a) {
std::cerr << "{\n";
for(const auto &p : a) std::cerr << "\t(" << p.first << ", " << p.second << ")\n";
std::cerr << "}";
}
template <class T, class U>
void view(const std::map<T, U> &m) {
std::cerr << "{\n";
for(const auto &p : m) std::cerr << "\t[" << p.first << "] : " << p.second << "\n";
std::cerr << "}";
}
template <class T, class U>
void view(const std::pair<T, U> &p) { std::cerr << "(" << p.first << ", " << p.second << ")"; }
template <class T>
void view(const std::set<T> &s) {
std::cerr << "{ ";
for(auto &v : s) {
view(v);
std::cerr << ", ";
}
std::cerr << "\b\b }";
}
template <class T>
void view(const T &e) { std::cerr << e; }
} // namespace debugger
#ifdef LOCAL
void debug_out() {}
template <typename Head, typename... Tail>
void debug_out(Head H, Tail... T) {
debugger::view(H);
std::cerr << ", ";
debug_out(T...);
}
#define debug(...) \
do { \
std::cerr << __LINE__ << " [" << #__VA_ARGS__ << "] : ["; \
debug_out(__VA_ARGS__); \
std::cerr << "\b\b]\n"; \
} while(false)
#else
#define debug(...) (void(0))
#endif
// vector macro
template <class T>
int lb(const std::vector<T> &a, const T x) { return std::distance((a).begin(), std::lower_bound((a).begin(), (a).end(), (x))); }
template <class T>
int ub(const std::vector<T> &a, const T x) { return std::distance((a).begin(), std::upper_bound((a).begin(), (a).end(), (x))); }
template <class T>
void UNIQUE(std::vector<T> &a) {
std::sort(a.begin(), a.end());
a.erase(std::unique(a.begin(), a.end()), a.end());
}
template <class T>
std::vector<T> press(std::vector<T> &a) {
auto res = a;
UNIQUE(res);
for(auto &v : a)
v = lb(res, v);
return res;
}
#define SORTname(a, b, c, ...) c
#define SORT(...) SORTname(__VA_ARGS__, SORT1, SORT0, ...)(__VA_ARGS__)
#define SORT0(a) std::sort((a).begin(), (a).end())
#define SORT1(a, c) std::sort((a).begin(), (a).end(), [](const auto x, const auto y) { return x c y; })
template <class T>
void ADD(std::vector<T> &a, const T x) {
for(auto &v : a) v += x;
}
template <class T>
void SUB(std::vector<T> &a, const T x = 1) {
for(auto &v : a) v -= x;
}
template <class T>
void MUL(std::vector<T> &a, const T x) {
for(auto &v : a) v *= x;
}
template <class T>
void DIV(std::vector<T> &a, const T x) {
for(auto &v : a) v /= x;
}
// math macro
template <class T, class U>
inline bool chmin(T &a, const U &b) { return a > b ? a = b, true : false; }
template <class T, class U>
inline bool chmax(T &a, const U &b) { return a < b ? a = b, true : false; }
template <class T>
T divup(T x, T y) { return (x + y - 1) / y; }
template <class T>
T POW(T a, long long n) {
T ret = 1;
while(n) {
if(n & 1) ret *= a;
a *= a;
n >>= 1;
}
return ret;
}
template<typename T>
T ADD(T a, T b){
T res;
return __builtin_add_overflow(a, b, &res) ? numeric_limits<T>::max() : res;
}
template<typename T>
T MUL(T a, T b){
T res;
return __builtin_mul_overflow(a, b, &res) ? numeric_limits<T>::max() : res;
}
// modpow
long long POW(long long a, long long n, const int mod) {
long long ret = 1;
while(n) {
if(n & 1) (ret *= a) %= mod;
(a *= a) %= mod;
n >>= 1;
}
return ret;
}
// others
struct fast_io {
fast_io() {
ios::sync_with_stdio(false);
cin.tie(nullptr);
cout << fixed << setprecision(15);
}
} fast_io_;
#pragma endregion
using R = long double;
constexpr R EPS=1E-11;
// r の(誤差付きの)符号に従って, -1, 0, 1 を返す.
int sgn(const R& r){ return (r > EPS) - (r < -EPS); }
// a, b の(誤差付きの)大小比較の結果に従って, -1, 0, 1 を返す.
int sgn(const R& a, const R &b){ return sgn(a-b); }
// a > 0 は sgn(a) > 0
// a < b は sgn(a, b) < 0
// a >= b は sgn(a, b) >= 0
// のように書く.
// return s * 10^n
//https://atcoder.jp/contests/abc191/submissions/20028529
long long x10(const string& s, size_t n) {
if (s.front() == '-') return -x10(s.substr(1), n);
auto pos = s.find('.');
if (pos == string::npos) return stoll(s + string(n, '0'));
return stoll(s.substr(0, pos) + s.substr(pos + 1) + string(n + pos + 1 - s.size(), '0'));
}
long long ceildiv(long long a, long long b) {
if (b < 0) a = -a, b = -b;
if (a >= 0) return (a + b - 1) / b;
else return a / b;
}
long long floordiv(long long a, long long b) {
if (b < 0) a = -a, b = -b;
if (a >= 0) return a / b;
else return (a - b + 1) / b;
}
long long floorsqrt(long long x) {
assert(x >= 0);
long long ok = 0;
long long ng = 1;
while (ng * ng <= x) ng <<= 1;
while (ng - ok > 1) {
long long mid = (ng + ok) >> 1;
if (mid * mid <= x) ok = mid;
else ng = mid;
}
return ok;
}
inline int topbit(unsigned long long x){
return x?63-__builtin_clzll(x):-1;
}
inline int popcount(unsigned long long x){
return __builtin_popcountll(x);
}
inline int parity(unsigned long long x){//popcount%2
return __builtin_parity(x);
}
const int inf = 1e9;
const ll INF = 1e18;
template <class T>
struct SegmentTreeBeats {
private:
size_t n, n_;
const T MAX = std::numeric_limits<T>::max();
const T MIN = -MAX;
std::vector<T> max_v, min_v, smax_v, smin_v, lz_upd, lz_ad, sigm, len;
std::vector<int> max_c, min_c;
void init(std::vector<T> &v) {
n_ = v.size(), n = 1;
while(n < n_) n *= 2;
max_v.assign(n * 2 - 1, MIN);
min_v.assign(n * 2 - 1, MAX);
smax_v.assign(n * 2 - 1, MIN);
smin_v.assign(n * 2 - 1, MAX);
lz_upd.assign(n * 2 - 1, MAX);
lz_ad.assign(n * 2 - 1, 0);
len.assign(n * 2 - 1, n);
sigm.assign(n * 2 - 1, 0);
max_c.assign(n * 2 - 1, 1);
min_c.assign(n * 2 - 1, 1);
for(int i = 0; i < n - 1; i++)
len[i * 2 + 1] = len[i * 2 + 2] = (len[i] >> 1);
for(int i = 0; i < n_; i++)
max_v[i + n - 1] = min_v[i + n - 1] = sigm[i + n - 1] = v[i];
for(int i = n - 2; i >= 0; i--)
proc(i);
}
void proc(int i) {
sigm[i] = sigm[i * 2 + 1] + sigm[i * 2 + 2];
max_v[i] = std::max(max_v[i * 2 + 1], max_v[i * 2 + 2]);
if(max_v[i * 2 + 1] > max_v[i * 2 + 2]) {
max_c[i] = max_c[i * 2 + 1];
smax_v[i] = std::max(smax_v[i * 2 + 1], max_v[i * 2 + 2]);
}
if(max_v[i * 2 + 1] < max_v[i * 2 + 2]) {
max_c[i] = max_c[i * 2 + 2];
smax_v[i] = std::max(max_v[i * 2 + 1], smax_v[i * 2 + 2]);
}
if(max_v[i * 2 + 1] == max_v[i * 2 + 2]) {
max_c[i] = max_c[i * 2 + 1] + max_c[i * 2 + 2];
smax_v[i] = std::max(smax_v[i * 2 + 1], smax_v[i * 2 + 2]);
}
min_v[i] = std::min(min_v[i * 2 + 1], min_v[i * 2 + 2]);
if(min_v[i * 2 + 1] < min_v[i * 2 + 2]) {
min_c[i] = min_c[i * 2 + 1];
smin_v[i] = std::min(smin_v[i * 2 + 1], min_v[i * 2 + 2]);
}
if(min_v[i * 2 + 1] > min_v[i * 2 + 2]) {
min_c[i] = min_c[i * 2 + 2];
smin_v[i] = std::min(min_v[i * 2 + 1], smin_v[i * 2 + 2]);
}
if(min_v[i * 2 + 1] == min_v[i * 2 + 2]) {
min_c[i] = min_c[i * 2 + 1] + min_c[i * 2 + 2];
smin_v[i] = std::min(smin_v[i * 2 + 1], smin_v[i * 2 + 2]);
}
}
void eval(int i) {
if(lz_upd[i] != MAX) {
in_update(i * 2 + 1, lz_upd[i]);
in_update(i * 2 + 2, lz_upd[i]);
lz_upd[i] = MAX;
return;
}
if(lz_ad[i]) {
in_add(i * 2 + 1, lz_ad[i]);
in_add(i * 2 + 2, lz_ad[i]);
lz_ad[i] = 0;
}
if(max_v[i] < max_v[i * 2 + 1]) in_chmin(i * 2 + 1, max_v[i]);
if(max_v[i] < max_v[i * 2 + 2]) in_chmin(i * 2 + 2, max_v[i]);
if(min_v[i] > min_v[i * 2 + 1]) in_chmax(i * 2 + 1, min_v[i]);
if(min_v[i] > min_v[i * 2 + 2]) in_chmax(i * 2 + 2, min_v[i]);
}
void in_update(int i, T x) {
max_v[i] = min_v[i] = x;
smax_v[i] = MIN, smin_v[i] = MAX;
max_c[i] = min_c[i] = len[i];
sigm[i] = len[i] * x;
lz_upd[i] = x, lz_ad[i] = 0;
}
void in_chmin(int i, T x) {
sigm[i] += (x - max_v[i]) * max_c[i];
if(max_v[i] == min_v[i])
max_v[i] = min_v[i] = x;
else if(max_v[i] == smin_v[i])
max_v[i] = smin_v[i] = x;
else
max_v[i] = x;
if(lz_upd[i] != MAX and lz_upd[i] > x) lz_upd[i] = x;
}
void in_chmax(int i, T x) {
sigm[i] += (x - min_v[i]) * min_c[i];
if(min_v[i] == max_v[i])
min_v[i] = max_v[i] = x;
else if(min_v[i] == smax_v[i])
min_v[i] = smax_v[i] = x;
else
min_v[i] = x;
if(lz_upd[i] != MAX and lz_upd[i] < x) lz_upd[i] = x;
}
void in_add(int i, T x) {
max_v[i] += x, min_v[i] += x;
if(smin_v[i] != MAX) smin_v[i] += x;
if(smax_v[i] != MIN) smax_v[i] += x;
sigm[i] += x * len[i];
if(lz_upd[i] != MAX) lz_upd[i] += x;
lz_ad[i] += x;
}
void chmin(int i, int a, int b, int l, int r, T x) {
if(b <= l or r <= a or x >= max_v[i]) return;
if(a <= l and r <= b and smax_v[i] < x) {
in_chmin(i, x);
return;
}
eval(i);
chmin(i * 2 + 1, a, b, l, (l + r) >> 1, x);
chmin(i * 2 + 2, a, b, (l + r) >> 1, r, x);
proc(i);
}
void chmax(int i, int a, int b, int l, int r, T x) {
if(b <= l or r <= a or x <= min_v[i]) return;
if(a <= l and r <= b and smin_v[i] > x) {
in_chmax(i, x);
return;
}
eval(i);
chmax(i * 2 + 1, a, b, l, (l + r) >> 1, x);
chmax(i * 2 + 2, a, b, (l + r) >> 1, r, x);
proc(i);
}
void add(int i, int a, int b, int l, int r, T x) {
if(b <= l or r <= a) return;
if(a <= l and r <= b) {
in_add(i, x);
return;
}
eval(i);
add(i * 2 + 1, a, b, l, (l + r) >> 1, x);
add(i * 2 + 2, a, b, (l + r) >> 1, r, x);
proc(i);
}
void update(int i, int a, int b, int l, int r, T x) {
if(b <= l or r <= a) return;
if(a <= l and r <= b) {
in_update(i, x);
return;
}
eval(i);
update(i * 2 + 1, a, b, l, (l + r) >> 1, x);
update(i * 2 + 2, a, b, (l + r) >> 1, r, x);
proc(i);
}
T sum(int i, int a, int b, int l, int r) {
if(r <= a || b <= l) return 0;
if(a <= l && r <= b) return sigm[i];
eval(i);
T lv = sum(i * 2 + 1, a, b, l, (l + r) / 2);
T rv = sum(i * 2 + 2, a, b, (l + r) / 2, r);
return lv + rv;
}
T rangemin(int i, int a, int b, int l, int r) {
if(r <= a or b <= l) return MAX;
if(a <= l and r <= b) return min_v[i];
eval(i);
T lv = rangemin(i * 2 + 1, a, b, l, (l + r) >> 1);
T rv = rangemin(i * 2 + 2, a, b, (l + r) >> 1, r);
return std::min(lv, rv);
}
T rangemax(int i, int a, int b, int l, int r) {
if(r <= a or b <= l) return MIN;
if(a <= l and r <= b) return max_v[i];
eval(i);
T lv = rangemax(i * 2 + 1, a, b, l, (l + r) >> 1);
T rv = rangemax(i * 2 + 2, a, b, (l + r) >> 1, r);
return std::max(lv, rv);
}
T rangesum(int i, int a, int b, int l, int r) {
if(r <= a or b <= l) return 0;
if(a <= l and r <= b) return sigm[i];
eval(i);
T lv = rangesum(i * 2 + 1, a, b, l, (l + r) >> 1);
T rv = rangesum(i * 2 + 2, a, b, (l + r) >> 1, r);
return lv + rv;
}
public:
SegmentTreeBeats() = default;
SegmentTreeBeats(std::vector<T> &v) {
init(v);
}
SegmentTreeBeats(size_t n, T init_data = 0) {
std::vector<T> v(n, init_data);
init(v);
}
T operator[](int i) {
return query_min(i, i + 1);
}
void update_chmin(int a, int b, T x) {
chmin(0, a, b, 0, n, x);
}
void update_chmax(int a, int b, T x) {
chmax(0, a, b, 0, n, x);
}
void update_add(int a, int b, T x) {
add(0, a, b, 0, n, x);
}
void update_upd(int a, int b, T x) {
update(0, a, b, 0, n, x);
}
T query_min(int a, int b) {
return rangemin(0, a, b, 0, n);
}
T query_max(int a, int b) {
return rangemax(0, a, b, 0, n);
}
T query_sum(int a, int b) {
return rangesum(0, a, b, 0, n);
}
};
#pragma endregion
void main_() {
LL(N,Q);
V<pair<ll,pll>> T(Q);
REP(i,Q){
cin >> T[i].se.fi >> T[i].se.se >> T[i].fi;
T[i].se.fi--;
}
V<ll> ans(N,1);
SegmentTreeBeats<ll> beats(ans);
sort(all(T));
REP(i,Q){
beats.update_chmax(T[i].se.fi,T[i].se.se,T[i].fi);
}
bool ok = true;
REP(i,Q){
ll mn = beats.query_min(T[i].se.fi,T[i].se.se);
if(mn != T[i].fi)ok = false;
}
if(ok){
REP(i,N){
ll val = beats.query_min(i,i+1);
if(i)cout << " ";
cout << val;
}
cout << endl;
}
else cout << -1 << endl;
}
int main() {
int t = 1;
//cin >> t;
while(t--) main_();
return 0;
}
unyon_maru65536