#965392 (C++14) No.2690 A present from B (Hard)

提出ソース

結果

問題	No.2690 A present from B (Hard)
ユーザー	👑 hos.lyric
提出日時	2024-03-29 16:25:01
言語	C++14 (gcc 12.3.0 + boost 1.83.0)
結果	AC
実行時間	318 ms / 2,000 ms
コード長	8,014 bytes
コンパイル時間	1,319 ms
コンパイル使用メモリ	116,100 KB
実行使用メモリ	7,808 KB
最終ジャッジ日時	2024-09-30 15:04:42
合計ジャッジ時間	5,689 ms
ジャッジサーバーID （参考情報）	judge2 / judge4

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テストケース

テストケース表示

入力	結果	実行時間実行使用メモリ
testcase_00	AC	2 ms 5,248 KB
testcase_01	AC	2 ms 5,248 KB
testcase_02	AC	2 ms 5,248 KB
testcase_03	AC	2 ms 5,248 KB
testcase_04	AC	2 ms 5,248 KB
testcase_05	AC	2 ms 5,248 KB
testcase_06	AC	318 ms 7,808 KB
testcase_07	AC	289 ms 7,808 KB
testcase_08	AC	291 ms 7,808 KB
testcase_09	AC	17 ms 5,248 KB
testcase_10	AC	19 ms 5,248 KB
testcase_11	AC	15 ms 5,248 KB
testcase_12	AC	2 ms 5,248 KB
testcase_13	AC	1 ms 5,248 KB
testcase_14	AC	2 ms 5,248 KB
testcase_15	AC	2 ms 5,248 KB
testcase_16	AC	2 ms 5,248 KB
testcase_17	AC	257 ms 5,760 KB
testcase_18	AC	125 ms 7,552 KB
testcase_19	AC	71 ms 7,552 KB
testcase_20	AC	247 ms 5,248 KB
testcase_21	AC	56 ms 7,552 KB
testcase_22	AC	50 ms 5,376 KB
testcase_23	AC	114 ms 7,552 KB
testcase_24	AC	151 ms 5,248 KB
testcase_25	AC	45 ms 7,552 KB
testcase_26	AC	191 ms 7,808 KB
testcase_27	AC	214 ms 7,680 KB
testcase_28	AC	214 ms 7,808 KB
testcase_29	AC	214 ms 7,808 KB

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ソースコード

raw source code

#include <cassert>
#include <cmath>
#include <cstdint>
#include <cstdio>
#include <cstdlib>
#include <cstring>
#include <algorithm>
#include <bitset>
#include <complex>
#include <deque>
#include <functional>
#include <iostream>
#include <limits>
#include <map>
#include <numeric>
#include <queue>
#include <random>
#include <set>
#include <sstream>
#include <string>
#include <unordered_map>
#include <unordered_set>
#include <utility>
#include <vector>

using namespace std;

using Int = long long;

template <class T1, class T2> ostream &operator<<(ostream &os, const pair<T1, T2> &a) { return os << "(" << a.first << ", " << a.second << ")"; };
template <class T> ostream &operator<<(ostream &os, const vector<T> &as) { const int sz = as.size(); os << "["; for (int i = 0; i < sz; ++i) { if (i >= 256) { os << ", ..."; break; } if (i > 0) { os << ", "; } os << as[i]; } return os << "]"; }
template <class T> void pv(T a, T b) { for (T i = a; i != b; ++i) cerr << *i << " "; cerr << endl; }
template <class T> bool chmin(T &t, const T &f) { if (t > f) { t = f; return true; } return false; }
template <class T> bool chmax(T &t, const T &f) { if (t < f) { t = f; return true; } return false; }
#define COLOR(s) ("\x1b[" s "m")

// T: monoid representing information of an interval.
//   T()  should return the identity.
//   T(S s)  should represent a single element of the array.
//   T::push(T &l, T &r)  should push the lazy update.
//   T::pull(const T &l, const T &r)  should pull two intervals.
template <class T> struct SegmentTreeRange {
  int logN, n;
  vector<T> ts;
  SegmentTreeRange() : logN(0), n(0) {}
  explicit SegmentTreeRange(int n_) {
    for (logN = 0, n = 1; n < n_; ++logN, n <<= 1) {}
    ts.resize(n << 1);
  }
  template <class S> explicit SegmentTreeRange(const vector<S> &ss) {
    const int n_ = ss.size();
    for (logN = 0, n = 1; n < n_; ++logN, n <<= 1) {}
    ts.resize(n << 1);
    for (int i = 0; i < n_; ++i) at(i) = T(ss[i]);
    build();
  }
  T &at(int i) {
    return ts[n + i];
  }
  void build() {
    for (int u = n; --u; ) pull(u);
  }

  inline void push(int u) {
    ts[u].push(ts[u << 1], ts[u << 1 | 1]);
  }
  inline void pull(int u) {
    ts[u].pull(ts[u << 1], ts[u << 1 | 1]);
  }

  // Applies T::f(args...) to [a, b).
  template <class F, class... Args>
  void ch(int a, int b, F f, Args &&... args) {
    assert(0 <= a); assert(a <= b); assert(b <= n);
    if (a == b) return;
    a += n; b += n;
    for (int h = logN; h; --h) {
      const int aa = a >> h, bb = b >> h;
      if (aa == bb) {
        if ((aa << h) != a || (bb << h) != b) push(aa);
      } else {
        if ((aa << h) != a) push(aa);
        if ((bb << h) != b) push(bb);
      }
    }
    for (int aa = a, bb = b; aa < bb; aa >>= 1, bb >>= 1) {
      if (aa & 1) (ts[aa++].*f)(args...);
      if (bb & 1) (ts[--bb].*f)(args...);
    }
    for (int h = 1; h <= logN; ++h) {
      const int aa = a >> h, bb = b >> h;
      if (aa == bb) {
        if ((aa << h) != a || (bb << h) != b) pull(aa);
      } else {
        if ((aa << h) != a) pull(aa);
        if ((bb << h) != b) pull(bb);
      }
    }
  }

  // Calculates the product for [a, b).
  T get(int a, int b) {
    assert(0 <= a); assert(a <= b); assert(b <= n);
    if (a == b) return T();
    a += n; b += n;
    for (int h = logN; h; --h) {
      const int aa = a >> h, bb = b >> h;
      if (aa == bb) {
        if ((aa << h) != a || (bb << h) != b) push(aa);
      } else {
        if ((aa << h) != a) push(aa);
        if ((bb << h) != b) push(bb);
      }
    }
    T prodL, prodR, t;
    for (int aa = a, bb = b; aa < bb; aa >>= 1, bb >>= 1) {
      if (aa & 1) { t.pull(prodL, ts[aa++]); prodL = t; }
      if (bb & 1) { t.pull(ts[--bb], prodR); prodR = t; }
    }
    t.pull(prodL, prodR);
    return t;
  }

  // Calculates T::f(args...) of a monoid type for [a, b).
  //   op(-, -)  should calculate the product.
  //   e()  should return the identity.
  template <class Op, class E, class F, class... Args>
#if __cplusplus >= 201402L
  auto
#else
  decltype((std::declval<T>().*F())())
#endif
  get(int a, int b, Op op, E e, F f, Args &&... args) {
    assert(0 <= a); assert(a <= b); assert(b <= n);
    if (a == b) return e();
    a += n; b += n;
    for (int h = logN; h; --h) {
      const int aa = a >> h, bb = b >> h;
      if (aa == bb) {
        if ((aa << h) != a || (bb << h) != b) push(aa);
      } else {
        if ((aa << h) != a) push(aa);
        if ((bb << h) != b) push(bb);
      }
    }
    auto prodL = e(), prodR = e();
    for (int aa = a, bb = b; aa < bb; aa >>= 1, bb >>= 1) {
      if (aa & 1) prodL = op(prodL, (ts[aa++].*f)(args...));
      if (bb & 1) prodR = op((ts[--bb].*f)(args...), prodR);
    }
    return op(prodL, prodR);
  }

  // Find min b s.t. T::f(args...) returns true,
  // when called for the partition of [a, b) from left to right.
  //   Returns n + 1 if there is no such b.
  template <class F, class... Args>
  int findRight(int a, F f, Args &&... args) {
    assert(0 <= a); assert(a <= n);
    if ((T().*f)(args...)) return a;
    if (a == n) return n + 1;
    a += n;
    for (int h = logN; h; --h) push(a >> h);
    for (; ; a >>= 1) if (a & 1) {
      if ((ts[a].*f)(args...)) {
        for (; a < n; ) {
          push(a);
          if (!(ts[a <<= 1].*f)(args...)) ++a;
        }
        return a - n + 1;
      }
      ++a;
      if (!(a & (a - 1))) return n + 1;
    }
  }

  // Find max a s.t. T::f(args...) returns true,
  // when called for the partition of [a, b) from right to left.
  //   Returns -1 if there is no such a.
  template <class F, class... Args>
  int findLeft(int b, F f, Args &&... args) {
    assert(0 <= b); assert(b <= n);
    if ((T().*f)(args...)) return b;
    if (b == 0) return -1;
    b += n;
    for (int h = logN; h; --h) push((b - 1) >> h);
    for (; ; b >>= 1) if ((b & 1) || b == 2) {
      if ((ts[b - 1].*f)(args...)) {
        for (; b <= n; ) {
          push(b - 1);
          if (!(ts[(b <<= 1) - 1].*f)(args...)) --b;
        }
        return b - n - 1;
      }
      --b;
      if (!(b & (b - 1))) return -1;
    }
  }
};

////////////////////////////////////////////////////////////////////////////////

constexpr int INF = 1001001001;

struct Node {
  int mn, lz;
  Node() : mn(INF), lz(INF) {}
  void push(Node &l, Node &r) {
    if (lz < INF) {
      l.chmin(lz);
      r.chmin(lz);
      lz = INF;
    }
  }
  void pull(const Node &l, const Node &r) {
    mn = min(l.mn, r.mn);
  }
  void chmin(int val) {
    ::chmin(mn, val);
    ::chmin(lz, val);
  }
  // leaf
  void change(int val) {
    mn = val;
  }
};


int N, M;
vector<int> A;

int main() {
  for (; ~scanf("%d%d", &N, &M); ) {
    A.resize(M);
    for (int i = 0; i < M; ++i) {
      scanf("%d", &A[i]);
    }
    
    SegmentTreeRange<Node> segL(N), segR(N);
    auto update = [&](int i, int val) -> void {
      segL.ch(0, i, &Node::chmin, val + i);
      segR.ch(i, N, &Node::chmin, val - i);
    };
    auto change = [&](int i, int val) -> void {
      segL.ch(i, i + 1, &Node::change, val + i);
      segR.ch(i, i + 1, &Node::change, val - i);
    };
    auto get = [&](int i) -> int {
      int ret = INF;
      chmin(ret, segL.get(i, i + 1).mn - i);
      chmin(ret, segR.get(i, i + 1).mn + i);
      return ret;
    };
    
    update(0, 0);
    for (int i = M; --i >= 0; ) {
      // swap(dp[A[i] - 1], dp[A[i]]);
      int f = get(A[i] - 1);
      int g = get(A[i]);
      update(A[i] - 1, g);
      update(A[i]    , f);
      if (A[i] - 2 >= 0) {
        const int h = get(A[i] - 2);
        chmin(g, h + 1);
        chmin(f, h + 2);
      }
      if (A[i] + 1 < N) {
        const int h = get(A[i] + 1);
        chmin(g, h + 2);
        chmin(f, h + 1);
      }
      change(A[i] - 1, g);
      change(A[i]    , f);
// cerr<<"A[i] = "<<A[i]<<"; ";for(int x=0;x<N;++x)cerr<<get(x)<<" ";cerr<<endl;
    }
    
    for (int x = 1; x < N; ++x) {
      if (x > 1) printf(" ");
      printf("%d", get(x));
    }
    puts("");
  }
  return 0;
}

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結果

テストケース

ソースコード