結果
| 問題 |
No.1675 Strange Minimum Query
|
| コンテスト | |
| ユーザー |
|
| 提出日時 | 2021-09-10 21:28:42 |
| 言語 | C++17 (gcc 13.3.0 + boost 1.87.0) |
| 結果 |
AC
|
| 実行時間 | 281 ms / 2,000 ms |
| コード長 | 10,140 bytes |
| コンパイル時間 | 2,621 ms |
| コンパイル使用メモリ | 207,832 KB |
| 最終ジャッジ日時 | 2025-01-24 09:41:29 |
|
ジャッジサーバーID (参考情報) |
judge4 / judge3 |
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| ファイルパターン | 結果 |
|---|---|
| sample | AC * 3 |
| other | AC * 34 |
ソースコード
#include<bits/stdc++.h>
#define overload4(_1, _2, _3, _4, name, ...) name
#define rep1(i, n) for (ll i = 0; i < ll(n); ++i)
#define rep2(i, s, n) for (ll i = ll(s); i < ll(n); ++i)
#define rep3(i, s, n, d) for(ll i = ll(s); i < ll(n); i+=d)
#define rep(...) overload4(__VA_ARGS__,rep3,rep2,rep1)(__VA_ARGS__)
#define rrep1(i, n) for (ll i = ll(n)-1; i >= 0; i--)
#define rrep2(i, n, t) for (ll i = ll(n)-1; i >= (ll)t; i--)
#define rrep3(i, n, t, d) for (ll i = ll(n)-1; i >= (ll)t; i-=d)
#define rrep(...) overload4(__VA_ARGS__,rrep3,rrep2,rrep1)(__VA_ARGS__)
#define all(a) a.begin(),a.end()
#define rall(a) a.rbegin(),a.rend()
#define SUM(a) accumulate(all(a),0LL)
#define MIN(a) *min_element(all(a))
#define MAX(a) *max_element(all(a))
#define SZ(a) int(a.size())
#define popcount(x) __builtin_popcountll(x)
#define pf push_front
#define pb push_back
#define ef emplace_front
#define eb emplace_back
#define ppf pop_front
#define ppb pop_back
#ifdef __LOCAL
#define debug(...) { cout << #__VA_ARGS__; cout << ": "; print(__VA_ARGS__); cout << flush; }
#else
#define debug(...) void(0);
#endif
#define INT(...) int __VA_ARGS__;scan(__VA_ARGS__)
#define LL(...) ll __VA_ARGS__;scan(__VA_ARGS__)
#define STR(...) string __VA_ARGS__;scan(__VA_ARGS__)
#define CHR(...) char __VA_ARGS__;scan(__VA_ARGS__)
#define DBL(...) double __VA_ARGS__;scan(__VA_ARGS__)
#define LD(...) ld __VA_ARGS__;scan(__VA_ARGS__)
using namespace std;
using ll = long long;
using ld = long double;
using P = pair<int, int>;
using LP = pair<ll, ll>;
using vi = vector<int>;
using vvi = vector<vi>;
using vvvi = vector<vvi>;
using vl = vector<ll>;
using vvl = vector<vl>;
using vvvl = vector<vvl>;
using vd = vector<double>;
using vvd = vector<vd>;
using vs = vector<string>;
using vc = vector<char>;
using vvc = vector<vc>;
using vb = vector<bool>;
using vvb = vector<vb>;
using vp = vector<P>;
using vvp = vector<vp>;
template<class S, class T>
istream &operator>>(istream &is, pair<S, T> &p) { return is >> p.first >> p.second; }
template<class S, class T>
ostream &operator<<(ostream &os, const pair<S, T> &p) { return os << '{' << p.first << ", " << p.second << '}'; }
template<class S, class T, class U>
istream &operator>>(istream &is, tuple<S, T, U> &t) { return is >> get<0>(t) >> get<1>(t) >> get<2>(t); }
template<class S, class T, class U>
ostream &operator<<(ostream &os, const tuple<S, T, U> &t) {
return os << '{' << get<0>(t) << ", " << get<1>(t) << ", " << get<2>(t) << '}';
}
template<class T>
istream &operator>>(istream &is, vector<T> &v) {
for (T &t : v) { is >> t; }
return is;
}
template<class T>
ostream &operator<<(ostream &os, const vector<T> &v) {
os << '[';
rep(i, v.size()) os << v[i] << (i == int(v.size() - 1) ? "" : ", ");
return os << ']';
}
template<class T>
ostream &operator<<(ostream &os, const set<T> &st) {
os << '{';
auto it = st.begin();
while (it != st.end()) {
os << (it == st.begin() ? "" : ", ") << *it;
it++;
}
return os << '}';
}
template<class T>
void vecout(const vector<T> &v, char div = '\n') {
rep(i, v.size()) cout << v[i] << (i == int(v.size() - 1) ? '\n' : div);
}
template<class T>
bool chmin(T &a, T b) {
if (a > b) {
a = b;
return true;
}
return false;
}
template<class T>
bool chmax(T &a, T b) {
if (a < b) {
a = b;
return true;
}
return false;
}
void scan() {}
template<class Head, class... Tail>
void scan(Head &head, Tail &... tail) {
cin >> head;
scan(tail...);
}
template<class T>
void print(const T &t) { cout << t << '\n'; }
template<class Head, class... Tail>
void print(const Head &head, const Tail &... tail) {
cout << head << ' ';
print(tail...);
}
template<class... T>
void fin(const T &... a) {
print(a...);
exit(0);
}
struct Init_io {
Init_io() {
ios::sync_with_stdio(false);
cin.tie(nullptr);
cout.tie(nullptr);
cout << boolalpha << fixed << setprecision(15);
cerr << boolalpha << fixed << setprecision(15);
}
} init_io;
const string yes[] = {"no", "yes"};
const string Yes[] = {"No", "Yes"};
const string YES[] = {"NO", "YES"};
const int inf = 1001001001;
const ll linf = 1001001001001001001;
template<class T, class S>
vector<T> cumsum(const vector<S> &v, bool shift_one = true) {
int n = v.size();
vector<T> res;
if (shift_one) {
res.resize(n + 1);
rep(i, n) res[i + 1] = res[i] + v[i];
} else {
res.resize(n);
if (n) {
res[0] = v[0];
rep(i, 1, n) res[i] = res[i - 1] + v[i];
}
}
return res;
}
vvi graph(int n, int m, bool directed = false, int origin = 1) {
vvi G(n);
rep(_, m) {
INT(u, v);
u -= origin, v -= origin;
G[u].pb(v);
if (!directed) G[v].pb(u);
}
return G;
}
template<class T>
vector<vector<pair<int, T>>> weighted_graph(int n, int m, bool directed = false, int origin = 1) {
vector<vector<pair<int, T>>> G(n);
rep(_, m) {
int u, v;
T w;
scan(u, v, w);
u -= origin, v -= origin;
G[u].eb(v, w);
if (!directed) G[v].eb(u, w);
}
return G;
}
template<class M>
class lazy_segtree {
using S = typename M::S;
using F = typename M::F;
int _n, sz, log;
vector<S> d;
vector<F> lz;
void update(int k) { d[k] = M::op(d[2 * k], d[2 * k + 1]); }
void all_apply(int k, F f) {
d[k] = M::mapping(f, d[k]);
if (k < sz) lz[k] = M::composition(f, lz[k]);
}
void push(int k) {
all_apply(2 * k, lz[k]);
all_apply(2 * k + 1, lz[k]);
lz[k] = M::id;
}
public:
constexpr lazy_segtree() : lazy_segtree(0) {}
constexpr lazy_segtree(int _n) : lazy_segtree(vector<S>(_n, M::e)) {}
constexpr lazy_segtree(const vector<S> &init) : _n(int(init.size())) {
log = 0;
while (1 << log < _n) log++;
sz = 1 << log;
d.assign(2 * sz, M::e);
lz.assign(sz, M::id);
rep(i, _n) d[sz + i] = init[i];
rrep(i, sz, 1) update(i);
}
void set(int p, S x) {
assert(0 <= p and p < _n);
p += sz;
rrep(i, log + 1, 1) push(p >> i);
d[p] = x;
rep(i, 1, log + 1) update(p >> i);
}
S get(int p) {
assert(0 <= p and p < _n);
p += sz;
rrep(i, log + 1, 1) push(p >> i);
return d[p];
}
S prod(int l, int r) {
assert(0 <= l and l <= r and r <= _n);
l += sz, r += sz;
rrep(i, log + 1, 1) {
if ((l >> i) << i != l) push(l >> i);
if ((r >> i) << i != r) push(r >> i);
}
S sl = M::e, sr = M::e;
while (l < r) {
if (l & 1) sl = M::op(sl, d[l++]);
if (r & 1) sr = M::op(d[--r], sr);
l >>= 1, r >>= 1;
}
return M::op(sl, sr);
}
S all_prod() {
return d[1];
}
void apply(int l, int r, F f) {
assert(0 <= l and l <= r and r <= _n);
l += sz, r += sz;
rrep(i, log + 1, 1) {
if ((l >> i) << i != l) push(l >> i);
if ((r >> i) << i != r) push(r >> i);
}
{
int l2 = l, r2 = r;
while (l < r) {
if (l & 1) all_apply(l++, f);
if (r & 1) all_apply(--r, f);
l >>= 1, r >>= 1;
}
l = l2, r = r2;
}
rep(i, 1, log + 1) {
if ((l >> i) << i != l) update(l >> i);
if ((r >> i) << i != r) update(r >> i);
}
}
template<class F>
int max_right(int l, F f) {
assert(0 <= l && l <= _n);
assert(f(M::e));
if (l == _n) return _n;
l += sz;
rrep(i, log + 1, 1) push(l >> i);
S now = M::e;
do {
while (~l & 1) l >>= 1;
if (!f(M::op(now, d[l]))) {
while (l < sz) {
push(l);
l *= 2;
if (f(M::op(now, d[l]))) {
now = M::op(now, d[l]);
++l;
}
}
return l - sz;
}
now = M::op(now, d[l]);
++l;
} while ((l & -l) != l);
return _n;
}
template<class F>
int min_left(int r, F f) {
assert(0 <= r && r <= _n);
assert(f(M::e));
if (r == 0) return 0;
r += sz;
for (int i = log; i >= 1; i--) push((r - 1) >> i);
S now = M::e;
do {
r--;
while (r > 1 && (r & 1)) r >>= 1;
if (!f(M::op(d[r], now))) {
while (r < sz) {
push(r);
r = 2 * r + 1;
if (f(M::op(d[r], now))) {
now = M::op(d[r], now);
--r;
}
}
return r + 1 - sz;
}
now = M::op(d[r], now);
} while ((r & -r) != r);
return 0;
}
};
class M {
public:
using S = int;
static constexpr S e = inf;
static constexpr S op(const S &l, const S &r) {
return min(l, r);
}
using F = int;
static constexpr F id = 1;
static constexpr F composition(const F &g, const F &f) {
return max(g, f);
}
static constexpr S mapping(const F &f, const S &x) {
return max(f, x);
}
};
int main() {
INT(n, q);
vi l(q), r(q), b(q);
rep(i, q) {
scan(l[i], r[i], b[i]);
--l[i];
}
vi ord(q);
iota(all(ord), 0);
sort(all(ord), [&](int i, int j) { return b[i] > b[j]; });
lazy_segtree<M> st(vi(n, 1));
for (int i : ord) {
debug(i);
debug(st.prod(l[i], r[i]));
if (st.prod(l[i], r[i]) > b[i]) fin(-1);
st.apply(l[i], r[i], b[i]);
}
vi ans(n);
rep(i, n) ans[i] = st.get(i);
vecout(ans, ' ');
}