test/verify/aoj-dsl-2-a.test.cpp

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• Last update: 2024-08-10 03:11:07+09:00
• Problem: http://judge.u-aizu.ac.jp/onlinejudge/description.jsp?id=DSL_2_A

Depends on

• structure/class/monoid.hpp
• Segment Tree (セグメント木) (structure/segment-tree/segment-tree.hpp)
• template/template.hpp

Code

// competitive-verifier: PROBLEM http://judge.u-aizu.ac.jp/onlinejudge/description.jsp?id=DSL_2_A

#include "../../template/template.hpp"

#include "../../structure/segment-tree/segment-tree.hpp"

int main() {
  int N, Q;
  cin >> N >> Q;
  auto seg = SegmentTree(
      LambdaMonoid([](int a, int b) { return min(a, b); },
                   []() { return INT_MAX; }), N);
  while (Q--) {
    int T, X, Y;
    cin >> T >> X >> Y;
    if (T == 0) seg.set(X, Y);
    else cout << seg.prod(X, Y + 1) << "\n";
  }
}

#line 1 "test/verify/aoj-dsl-2-a.test.cpp"
// competitive-verifier: PROBLEM http://judge.u-aizu.ac.jp/onlinejudge/description.jsp?id=DSL_2_A

#line 1 "template/template.hpp"
#include <bits/stdc++.h>
#if __has_include(<atcoder/all>)
#include <atcoder/all>
#endif

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(std::forward<F>(f)) {}

  template <typename... Args>
  decltype(auto) operator()(Args &&...args) const {
    return F::operator()(*this, std::forward<Args>(args)...);
  }
};

template <typename F>
inline decltype(auto) MFP(F &&f) {
  return FixPoint<F>{std::forward<F>(f)};
}
#line 4 "test/verify/aoj-dsl-2-a.test.cpp"

#line 2 "structure/class/monoid.hpp"

template <typename S2, typename Op, typename E>
struct LambdaMonoid {
  using S = S2;
  S op(const S &a, const S &b) const { return _op(a, b); }

  S e() const { return _e(); }

  LambdaMonoid(Op _op, E _e) : _op(_op), _e(_e) {}

 private:
  Op _op;

  E _e;
};

template <typename Op, typename E>
LambdaMonoid(Op _op, E _e) -> LambdaMonoid<decltype(_e()), Op, E>;

/*
struct Monoid {
  using S = ?;
  static constexpr S op(const S& a, const S& b) {}
  static constexpr S e() {}
};
*/
#line 2 "structure/segment-tree/segment-tree.hpp"

template <typename Monoid>
struct SegmentTree {
  using S = typename Monoid::S;

 private:
  int n, sz;

  vector<S> seg;

  Monoid m;

 public:
  SegmentTree() = default;

  explicit SegmentTree(Monoid m, int n) : m(m), n(n) {
    sz = 1;
    while (sz < n) sz <<= 1;
    seg.assign(2 * sz, m.e());
  }

  explicit SegmentTree(Monoid m, const vector<S> &v)
      : SegmentTree(m, (int)v.size()) {
    build(v);
  }

  void build(const vector<S> &v) {
    assert(n == (int)v.size());
    for (int k = 0; k < n; k++) seg[k + sz] = v[k];
    for (int k = sz - 1; k > 0; k--) {
      seg[k] = m.op(seg[2 * k + 0], seg[2 * k + 1]);
    }
  }

  void set(int k, const S &x) {
    k += sz;
    seg[k] = x;
    while (k >>= 1) {
      seg[k] = m.op(seg[2 * k + 0], seg[2 * k + 1]);
    }
  }

  S get(int k) const { return seg[k + sz]; }

  S operator[](int k) const { return get(k); }

  void apply(int k, const S &x) {
    k += sz;
    seg[k] = m.op(seg[k], x);
    while (k >>= 1) {
      seg[k] = m.op(seg[2 * k + 0], seg[2 * k + 1]);
    }
  }

  S prod(int l, int r) const {
    if (l >= r) return m.e();
    S L = m.e(), R = m.e();
    for (l += sz, r += sz; l < r; l >>= 1, r >>= 1) {
      if (l & 1) L = m.op(L, seg[l++]);
      if (r & 1) R = m.op(seg[--r], R);
    }
    return m.op(L, R);
  }

  S all_prod() const { return seg[1]; }

  template <typename C>
  int find_first(int l, const C &check) const {
    if (l >= n) return n;
    l += sz;
    S sum = m.e();
    do {
      while ((l & 1) == 0) l >>= 1;
      if (check(m.op(sum, seg[l]))) {
        while (l < sz) {
          l <<= 1;
          auto nxt = m.op(sum, seg[l]);
          if (not check(nxt)) {
            sum = nxt;
            l++;
          }
        }
        return l + 1 - sz;
      }
      sum = m.op(sum, seg[l++]);
    } while ((l & -l) != l);
    return n;
  }

  template <typename C>
  int find_last(int r, const C &check) const {
    if (r <= 0) return -1;
    r += sz;
    S sum = m.e();
    do {
      r--;
      while (r > 1 and (r & 1)) r >>= 1;
      if (check(m.op(seg[r], sum))) {
        while (r < sz) {
          r = (r << 1) + 1;
          auto nxt = m.op(seg[r], sum);
          if (not check(nxt)) {
            sum = nxt;
            r--;
          }
        }
        return r - sz;
      }
      sum = m.op(seg[r], sum);
    } while ((r & -r) != r);
    return -1;
  }
};
#line 6 "test/verify/aoj-dsl-2-a.test.cpp"

int main() {
  int N, Q;
  cin >> N >> Q;
  auto seg = SegmentTree(
      LambdaMonoid([](int a, int b) { return min(a, b); },
                   []() { return INT_MAX; }), N);
  while (Q--) {
    int T, X, Y;
    cin >> T >> X >> Y;
    if (T == 0) seg.set(X, Y);
    else cout << seg.prod(X, Y + 1) << "\n";
  }
}

Test cases

Env	Name	Status	Elapsed	Memory
g++	00_small_00.in	AC	5 ms	3 MB
g++	00_small_01.in	AC	5 ms	3 MB
g++	00_small_02.in	AC	5 ms	3 MB
g++	00_small_03.in	AC	5 ms	3 MB
g++	01_rand_00.in	AC	5 ms	3 MB
g++	01_rand_01.in	AC	5 ms	3 MB
g++	01_rand_02.in	AC	5 ms	3 MB
g++	01_rand_03.in	AC	5 ms	3 MB
g++	02_biased_00.in	AC	4 ms	3 MB
g++	02_biased_01.in	AC	5 ms	3 MB
g++	02_biased_02.in	AC	5 ms	3 MB
g++	02_biased_03.in	AC	20 ms	4 MB
g++	03_rand_00.in	AC	5 ms	3 MB
g++	03_rand_01.in	AC	6 ms	3 MB
g++	03_rand_02.in	AC	6 ms	3 MB
g++	03_rand_03.in	AC	7 ms	4 MB
g++	03_rand_04.in	AC	27 ms	4 MB
g++	03_rand_05.in	AC	28 ms	4 MB
g++	04_maximum_00.in	AC	27 ms	4 MB
g++	04_maximum_01.in	AC	27 ms	4 MB
clang++	00_small_00.in	AC	5 ms	3 MB
clang++	00_small_01.in	AC	5 ms	3 MB
clang++	00_small_02.in	AC	4 ms	3 MB
clang++	00_small_03.in	AC	5 ms	3 MB
clang++	01_rand_00.in	AC	4 ms	3 MB
clang++	01_rand_01.in	AC	5 ms	3 MB
clang++	01_rand_02.in	AC	5 ms	3 MB
clang++	01_rand_03.in	AC	5 ms	3 MB
clang++	02_biased_00.in	AC	4 ms	3 MB
clang++	02_biased_01.in	AC	4 ms	3 MB
clang++	02_biased_02.in	AC	4 ms	3 MB
clang++	02_biased_03.in	AC	20 ms	4 MB
clang++	03_rand_00.in	AC	5 ms	3 MB
clang++	03_rand_01.in	AC	6 ms	3 MB
clang++	03_rand_02.in	AC	6 ms	3 MB
clang++	03_rand_03.in	AC	7 ms	4 MB
clang++	03_rand_04.in	AC	27 ms	4 MB
clang++	03_rand_05.in	AC	27 ms	4 MB
clang++	04_maximum_00.in	AC	27 ms	4 MB
clang++	04_maximum_01.in	AC	28 ms	4 MB

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