結果

問題 No.1675 Strange Minimum Query
コンテスト
ユーザー masutech16
提出日時 2021-09-10 21:52:30
言語 C++17
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 344 ms / 2,000 ms
コード長 8,641 bytes
コンパイル時間 2,254 ms
コンパイル使用メモリ 205,792 KB
最終ジャッジ日時 2025-01-24 10:17:12
ジャッジサーバーID
（参考情報） 		judge2 / judge4
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 * 34
権限があれば一括ダウンロードができます

ソースコード

diff # 

#line 1 "/workspaces/compro/lib/atcoder/lazysegtree.hpp"



#line 1 "/workspaces/compro/lib/atcoder/internal_bit.hpp"



#ifdef _MSC_VER
#include <intrin.h>
#endif

namespace atcoder {

namespace internal {

// @param n `0 <= n`
// @return minimum non-negative `x` s.t. `n <= 2**x`
int ceil_pow2(int n) {
    int x = 0;
    while ((1U << x) < (unsigned int)(n)) x++;
    return x;
}

// @param n `1 <= n`
// @return minimum non-negative `x` s.t. `(n & (1 << x)) != 0`
int bsf(unsigned int n) {
#ifdef _MSC_VER
    unsigned long index;
    _BitScanForward(&index, n);
    return index;
#else
    return __builtin_ctz(n);
#endif
}

}  // namespace internal

}  // namespace atcoder


#line 5 "/workspaces/compro/lib/atcoder/lazysegtree.hpp"
#include <algorithm>
#include <cassert>
#include <iostream>
#include <vector>
namespace atcoder {

template <class S, S (*op)(S, S), S (*e)(), class F, S (*mapping)(F, S), F (*composition)(F, F), F (*id)()>
struct lazy_segtree {
public:
  lazy_segtree() : lazy_segtree(0) {}
  lazy_segtree(int n) : lazy_segtree(std::vector<S>(n, e())) {}
  lazy_segtree(const std::vector<S> &v) : _n(int(v.size())) {
    log = internal::ceil_pow2(_n);
    size = 1 << log;
    d = std::vector<S>(2 * size, e());
    lz = std::vector<F>(size, id());
    for (int i = 0; i < _n; i++)
      d[size + i] = v[i];
    for (int i = size - 1; i >= 1; i--) {
      update(i);
    }
  }

  void set(int p, S x) {
    assert(0 <= p && p < _n);
    p += size;
    for (int i = log; i >= 1; i--)
      push(p >> i);
    d[p] = x;
    for (int i = 1; i <= log; i++)
      update(p >> i);
  }

  S get(int p) {
    assert(0 <= p && p < _n);
    p += size;
    for (int i = log; i >= 1; i--)
      push(p >> i);
    return d[p];
  }

  S prod(int l, int r) {
    assert(0 <= l && l <= r && r <= _n);
    if (l == r)
      return e();

    l += size;
    r += size;

    for (int i = log; i >= 1; i--) {
      if (((l >> i) << i) != l)
        push(l >> i);
      if (((r >> i) << i) != r)
        push(r >> i);
    }

    S sml = e(), smr = e();
    while (l < r) {
      if (l & 1)
        sml = op(sml, d[l++]);
      if (r & 1)
        smr = op(d[--r], smr);
      l >>= 1;
      r >>= 1;
    }

    return op(sml, smr);
  }

  S all_prod() { return d[1]; }

  void apply(int p, F f) {
    assert(0 <= p && p < _n);
    p += size;
    for (int i = log; i >= 1; i--)
      push(p >> i);
    d[p] = mapping(f, d[p]);
    for (int i = 1; i <= log; i++)
      update(p >> i);
  }
  void apply(int l, int r, F f) {
    assert(0 <= l && l <= r && r <= _n);
    if (l == r)
      return;

    l += size;
    r += size;

    for (int i = log; i >= 1; i--) {
      if (((l >> i) << i) != l)
        push(l >> i);
      if (((r >> i) << i) != r)
        push((r - 1) >> 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;
    }

    for (int i = 1; i <= log; i++) {
      if (((l >> i) << i) != l)
        update(l >> i);
      if (((r >> i) << i) != r)
        update((r - 1) >> i);
    }
  }

  template <bool (*g)(S)> int max_right(int l) {
    return max_right(l, [](S x) { return g(x); });
  }
  template <class G> int max_right(int l, G g) {
    assert(0 <= l && l <= _n);
    assert(g(e()));
    if (l == _n)
      return _n;
    l += size;
    for (int i = log; i >= 1; i--)
      push(l >> i);
    S sm = e();
    do {
      while (l % 2 == 0)
        l >>= 1;
      if (!g(op(sm, d[l]))) {
        while (l < size) {
          push(l);
          l = (2 * l);
          if (g(op(sm, d[l]))) {
            sm = op(sm, d[l]);
            l++;
          }
        }
        return l - size;
      }
      sm = op(sm, d[l]);
      l++;
    } while ((l & -l) != l);
    return _n;
  }

  template <bool (*g)(S)> int min_left(int r) {
    return min_left(r, [](S x) { return g(x); });
  }
  template <class G> int min_left(int r, G g) {
    assert(0 <= r && r <= _n);
    assert(g(e()));
    if (r == 0)
      return 0;
    r += size;
    for (int i = log; i >= 1; i--)
      push((r - 1) >> i);
    S sm = e();
    do {
      r--;
      while (r > 1 && (r % 2))
        r >>= 1;
      if (!g(op(d[r], sm))) {
        while (r < size) {
          push(r);
          r = (2 * r + 1);
          if (g(op(d[r], sm))) {
            sm = op(d[r], sm);
            r--;
          }
        }
        return r + 1 - size;
      }
      sm = op(d[r], sm);
    } while ((r & -r) != r);
    return 0;
  }

private:
  int _n, size, log;
  std::vector<S> d;
  std::vector<F> lz;

  void update(int k) { d[k] = op(d[2 * k], d[2 * k + 1]); }
  void all_apply(int k, F f) {
    d[k] = mapping(f, d[k]);
    if (k < size)
      lz[k] = composition(f, lz[k]);
  }
  void push(int k) {
    all_apply(2 * k, lz[k]);
    all_apply(2 * k + 1, lz[k]);
    lz[k] = id();
  }
};

} // namespace atcoder


#line 1 "/workspaces/compro/lib/template.hpp"


#line 3 "/workspaces/compro/lib/Assert/Assert.hpp"
#include <string>
#ifndef MY_ASSERT
#define MY_ASSERT

#ifdef LOCAL

#define ASSERT_MSG(expr, msg)                                                                                          \
  do {                                                                                                                 \
    if (!(expr)) {                                                                                                     \
      std::cerr << msg << std::endl;                                                                                   \
      assert(expr);                                                                                                    \
    }                                                                                                                  \
  } while (0)

#define FAIL ASSERT_MSG(false, "到達しない想定の場所に到達しました")

#else

#define ASSERT_MSG(...) (void)0
#define FAIL (void)0

#endif

#endif
#line 3 "/workspaces/compro/lib/io/vector.hpp"

#ifndef IO_VECTOR
#define IO_VECTOR

template <class T> std::ostream &operator<<(std::ostream &out, const std::vector<T> &v) {
  int size = v.size();
  for (int i = 0; i < size; i++) {
    std::cout << v[i];
    if (i != size - 1)
      std::cout << " ";
  }
  return out;
}

template <class T> std::istream &operator>>(std::istream &in, std::vector<T> &v) {
  for (auto &el : v) {
    std::cin >> el;
  }
  return in;
}

#endif
#line 5 "/workspaces/compro/lib/template.hpp"
#include <bits/stdc++.h>
#define REP(i, n) for (int i = 0; i < (n); i++)
#define FOR(i, m, n) for (int i = (m); i < (n); i++)
#define RREP(i, n) for (int i = (n - 1); i >= 0; i--)
#define RFOR(i, m, n) for (int i = (n - 1); i >= (m); i--)
#define ALL(v) std::begin(v), std::end(v)
#define coutd(n) cout << fixed << setprecision(n)
#define ll long long int
#define vl vector<ll>
#define vi vector<int>
#define MM << " " <<

using namespace std;

struct P {
  ll x;
  ll y;
};

template <class T> void chmin(T &a, T b) {
  if (a > b)
    a = b;
}

template <class T> void chmax(T &a, T b) {
  if (a < b)
    a = b;
}

// 重複を消す。計算量はO(NlogN)
template <class T> void unique(std::vector<T> &v) {
  std::sort(v.begin(), v.end());
  v.erase(std::unique(v.begin(), v.end()), v.end());
}


#line 3 "main.cpp"

using S = int;

// swapping flag
using F = int;

S op(S l, S r) { return min(l, r); }

S e() { return 1e9 + 1; }

S mapping(F l, S r) {
  if (l == -1)
    return r;
  return l;
}

F composition(F l, F r) { return max(l, r); }

F id() { return -1; }

void solve(long long N, int Q, const std::vector<long long> &l, const std::vector<long long> &r,
           const std::vector<long long> &B) {
  atcoder::lazy_segtree<S, op, e, F, mapping, composition, id> seg(N);
  vi idx(Q, 0);
  iota(ALL(idx), 0);
  sort(ALL(idx), [&](const int lhs, const int rhs) { return B[lhs] < B[rhs]; });

  REP(_i, Q) {
    int i = idx[_i];
    seg.apply(l[i], r[i], B[i]);
  }

  REP(i, Q) {
    if (seg.prod(l[i], r[i]) != B[i]) {
      cout << -1 << endl;
      return;
    }
  }

  REP(i, N) {
    int po = seg.get(i);
    if (po == 1e9 + 1)
      po = 1e9;
    cout << po << (i == N - 1 ? '\n' : ' ');
  }
}

// generated by oj-template v4.8.1 (https://github.com/online-judge-tools/template-generator)
int main() {
  ios::sync_with_stdio(false);
  cin.tie(nullptr);
  long long N;
  int Q;
  std::cin >> N >> Q;
  std::vector<long long> l(Q), r(Q), B(Q);
  for (int i = 0; i < Q; ++i) {
    std::cin >> l[i] >> r[i] >> B[i];
    l[i]--;
  }
  solve(N, Q, l, r, B);
  return 0;
}
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