#861440 (C++14) No.2281 K → K-1 01 Flip

提出ソース

結果

問題	No.2281 K → K-1 01 Flip
ユーザー	👑 hos.lyric
提出日時	2023-04-21 22:04:42
言語	C++14 (gcc 12.3.0 + boost 1.83.0)
結果	AC
実行時間	179 ms / 2,000 ms
コード長	8,958 bytes
コンパイル時間	1,133 ms
コンパイル使用メモリ	107,992 KB
実行使用メモリ	20,768 KB
最終ジャッジ日時	2024-11-06 15:34:31
合計ジャッジ時間	11,599 ms
ジャッジサーバーID （参考情報）	judge5 / 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	18 ms 12,112 KB
testcase_02	AC	134 ms 12,040 KB
testcase_03	AC	149 ms 20,548 KB
testcase_04	AC	37 ms 7,716 KB
testcase_05	AC	63 ms 12,068 KB
testcase_06	AC	119 ms 11,976 KB
testcase_07	AC	38 ms 20,608 KB
testcase_08	AC	95 ms 20,588 KB
testcase_09	AC	132 ms 7,748 KB
testcase_10	AC	106 ms 7,724 KB
testcase_11	AC	44 ms 11,904 KB
testcase_12	AC	41 ms 20,512 KB
testcase_13	AC	131 ms 7,680 KB
testcase_14	AC	74 ms 12,128 KB
testcase_15	AC	34 ms 5,632 KB
testcase_16	AC	137 ms 12,100 KB
testcase_17	AC	155 ms 12,160 KB
testcase_18	AC	143 ms 11,880 KB
testcase_19	AC	70 ms 20,480 KB
testcase_20	AC	44 ms 7,652 KB
testcase_21	AC	61 ms 20,492 KB
testcase_22	AC	130 ms 7,852 KB
testcase_23	AC	9 ms 6,816 KB
testcase_24	AC	74 ms 6,816 KB
testcase_25	AC	53 ms 6,816 KB
testcase_26	AC	54 ms 20,348 KB
testcase_27	AC	105 ms 20,540 KB
testcase_28	AC	50 ms 20,508 KB
testcase_29	AC	5 ms 6,816 KB
testcase_30	AC	79 ms 6,820 KB
testcase_31	AC	90 ms 12,128 KB
testcase_32	AC	126 ms 20,472 KB
testcase_33	AC	67 ms 12,056 KB
testcase_34	AC	100 ms 6,816 KB
testcase_35	AC	81 ms 20,564 KB
testcase_36	AC	117 ms 6,820 KB
testcase_37	AC	120 ms 12,068 KB
testcase_38	AC	127 ms 6,820 KB
testcase_39	AC	63 ms 7,628 KB
testcase_40	AC	24 ms 12,068 KB
testcase_41	AC	179 ms 20,668 KB
testcase_42	AC	179 ms 20,768 KB
testcase_43	AC	176 ms 20,660 KB
testcase_44	AC	175 ms 20,660 KB
testcase_45	AC	179 ms 20,664 KB
testcase_46	AC	173 ms 20,664 KB
testcase_47	AC	178 ms 20,652 KB
testcase_48	AC	175 ms 20,728 KB
testcase_49	AC	175 ms 20,656 KB
testcase_50	AC	177 ms 20,636 KB
testcase_51	AC	166 ms 20,664 KB
testcase_52	AC	166 ms 20,684 KB
testcase_53	AC	165 ms 20,576 KB
testcase_54	AC	167 ms 20,724 KB
testcase_55	AC	173 ms 20,688 KB
testcase_56	AC	168 ms 20,684 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 <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; }

////////////////////////////////////////////////////////////////////////////////
struct ModInt {
  static unsigned M;
  unsigned x;
  ModInt() : x(0U) {}
  ModInt(unsigned x_) : x(x_ % M) {}
  ModInt(unsigned long long x_) : x(x_ % M) {}
  ModInt(int x_) : x(((x_ %= static_cast<int>(M)) < 0) ? (x_ + static_cast<int>(M)) : x_) {}
  ModInt(long long x_) : x(((x_ %= static_cast<long long>(M)) < 0) ? (x_ + static_cast<long long>(M)) : x_) {}
  ModInt &operator+=(const ModInt &a) { x = ((x += a.x) >= M) ? (x - M) : x; return *this; }
  ModInt &operator-=(const ModInt &a) { x = ((x -= a.x) >= M) ? (x + M) : x; return *this; }
  ModInt &operator*=(const ModInt &a) { x = (static_cast<unsigned long long>(x) * a.x) % M; return *this; }
  ModInt &operator/=(const ModInt &a) { return (*this *= a.inv()); }
  ModInt pow(long long e) const {
    if (e < 0) return inv().pow(-e);
    ModInt a = *this, b = 1U; for (; e; e >>= 1) { if (e & 1) b *= a; a *= a; } return b;
  }
  ModInt inv() const {
    unsigned a = M, b = x; int y = 0, z = 1;
    for (; b; ) { const unsigned q = a / b; const unsigned c = a - q * b; a = b; b = c; const int w = y - static_cast<int>(q) * z; y = z; z = w; }
    assert(a == 1U); return ModInt(y);
  }
  ModInt operator+() const { return *this; }
  ModInt operator-() const { ModInt a; a.x = x ? (M - x) : 0U; return a; }
  ModInt operator+(const ModInt &a) const { return (ModInt(*this) += a); }
  ModInt operator-(const ModInt &a) const { return (ModInt(*this) -= a); }
  ModInt operator*(const ModInt &a) const { return (ModInt(*this) *= a); }
  ModInt operator/(const ModInt &a) const { return (ModInt(*this) /= a); }
  template <class T> friend ModInt operator+(T a, const ModInt &b) { return (ModInt(a) += b); }
  template <class T> friend ModInt operator-(T a, const ModInt &b) { return (ModInt(a) -= b); }
  template <class T> friend ModInt operator*(T a, const ModInt &b) { return (ModInt(a) *= b); }
  template <class T> friend ModInt operator/(T a, const ModInt &b) { return (ModInt(a) /= b); }
  explicit operator bool() const { return x; }
  bool operator==(const ModInt &a) const { return (x == a.x); }
  bool operator!=(const ModInt &a) const { return (x != a.x); }
  friend std::ostream &operator<<(std::ostream &os, const ModInt &a) { return os << a.x; }
};
unsigned ModInt::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::pull(const T &l, const T &r)  should pull two intervals.
template <class T> struct SegmentTreePoint {
  int logN, n;
  vector<T> ts;
  SegmentTreePoint() {}
  explicit SegmentTreePoint(int n_) {
    for (logN = 0, n = 1; n < n_; ++logN, n <<= 1) {}
    ts.resize(n << 1);
  }
  template <class S> explicit SegmentTreePoint(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 pull(int u) {
    ts[u].pull(ts[u << 1], ts[u << 1 | 1]);
  }

  // Changes the value of point a to s.
  template <class S> void change(int a, const S &s) {
    assert(0 <= a); assert(a < n);
    ts[a += n] = T(s);
    for (; a >>= 1; ) pull(a);
  }

  // Applies T::f(args...) to point a.
  template <class F, class... Args>
  void ch(int a, F f, Args &&... args) {
    assert(0 <= a); assert(a < n);
    (ts[a += n].*f)(args...);
    for (; a >>= 1; ) pull(a);
  }

  // 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;
    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;
    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 (; ; a >>= 1) if (a & 1) {
      if ((ts[a].*f)(args...)) {
        for (; a < n; ) {
          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 (; ; b >>= 1) if ((b & 1) || b == 2) {
      if ((ts[b - 1].*f)(args...)) {
        for (; b <= n; ) {
          if (!(ts[(b <<= 1) - 1].*f)(args...)) --b;
        }
        return b - n - 1;
      }
      --b;
      if (!(b & (b - 1))) return -1;
    }
  }
};

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


struct Node {
  int sz;
  int mx, lenL, lenR;
  int valL, valR;
  int cnt[2];
  Node() : sz(0), mx(0), lenL(0), lenR(0), valL(-1), valR(-1), cnt{} {}
  Node(int val) : sz(1), mx(1), lenL(1), lenR(1), valL(val), valR(val), cnt{} {
    ++cnt[val];
  }
  void pull(const Node &l, const Node &r) {
    if (l.sz == 0) {
      *this = r;
    } else if (r.sz == 0) {
      *this = l;
    } else {
      sz = l.sz + r.sz;
      mx = max(l.mx, r.mx);
      lenL = l.lenL;
      lenR = r.lenR;
      valL = l.valL;
      valR = r.valR;
      if (l.valR == r.valL) {
        chmax(mx, l.lenR + r.lenL);
        if (l.sz == l.lenL) lenL += r.lenL;
        if (r.sz == r.lenR) lenR += l.lenR;
      }
    }
    for (int x = 0; x < 2; ++x) {
      cnt[x] = l.cnt[x] + r.cnt[x];
    }
  }
};


int N, Q;
char S[200'010];

int main() {
  for (; ~scanf("%d%d", &N, &Q); ) {
    scanf("%s", S);
    
    vector<int> ini(N);
    for (int i = 0; i < N; ++i) {
      ini[i] = S[i] - '0';
    }
    SegmentTreePoint<Node> seg(ini);
    
    for (; Q--; ) {
      int L, R, K;
      scanf("%d%d%d", &L, &R, &K);
      --L;
      
      const Node res = seg.get(L, R);
// cerr<<"res.mx = "<<res.mx<<endl;
// cerr<<"res.cnt = ";pv(res.cnt,res.cnt+2);
      
      int ans = 0;
      if (res.mx < K) {
        ans = R - L;
      } else {
        ModInt::M = 2 * K - 1;
        ModInt score = 0;
        score += ModInt(K - 1) * res.cnt[0];
        score += ModInt(K) * res.cnt[1];
        const int r = ((score / ModInt(K - 1) - K)).x;
        if (r < K) {
          ans = K - 1 + r;
        } else {
          ans = K - 1 + ((2 * K - 1) - 1 - r);
        }
      }
      printf("%d\n", ans);
    }
  }
  return 0;
}

yukicoder

結果

テストケース

ソースコード