Submission #1015274

# Submission time Handle Problem Language Result Execution time Memory
1015274 2024-07-06T08:15:02 Z 우민규(#10889) Horses (IOI15_horses) C++14
34 / 100
1500 ms 21840 KB
#include "horses.h"

#include <bits/stdc++.h>
using namespace std;

// bounded u32
struct bu32 {
  uint32_t inner;
  friend bu32 operator*(const bu32& lhs, const bu32& rhs) {
    uint64_t res = (uint64_t)lhs.inner * (uint64_t)rhs.inner;
    return {(uint32_t)min(res, (uint64_t)UINT32_MAX)};
  }
  friend bool operator<(const bu32& lhs, const bu32& rhs) {
    assert(lhs.inner != UINT32_MAX || rhs.inner != UINT32_MAX);
    return lhs.inner < rhs.inner;
  }
};
const int mod = 1'000'000'007;
struct modu32 {
  uint32_t inner;
  friend modu32 operator*(const modu32& lhs, const modu32& rhs) {
    return {(uint32_t)((uint64_t)lhs.inner * (uint64_t)rhs.inner % mod)};
  }
};

// range mul seg
template <typename T>
struct Seg {
  int n;
  vector<T> seg;
  Seg() {};
  Seg(int _n, int* arr) : n(_n) {
    seg.resize(2 * n);
    for (int i = 0; i < n; ++i) {
      seg[i + n] = {(uint32_t)arr[i]};
    }
    for (int i = n - 1; i > 0; --i) {
      seg[i] = seg[2 * i] * seg[2 * i + 1];
    }
  }
  void set(int i, T val) {
    i += n;
    seg[i] = val;
    while (i > 1) {
      i /= 2;
      seg[i] = seg[2 * i] * seg[2 * i + 1];
    }
  }
  T prod(int l, int r) {
    l += n, r += n;
    T naive{1};
    for (int i = l; i < r; ++i) {
      naive = naive * seg[i];
    }
    T res{1};
    while (l < r) {
      if (l & 1) {
        res = res * seg[l];
        l += 1;
      }
      if (r & 1) {
        r -= 1;
        res = res * seg[r];
      }

      l /= 2, r /= 2;
    }
    // assert(naive.inner == res.inner);
    return res;
  }
};

struct Seg2 {
  int n;
  Seg<bu32> x;
  Seg<modu32> x_prod;
  vector<int> y;
  vector<int> seg;
  int max(int i, int j) {
    if (i > j) swap(i, j);
    return (bu32){y[i]} < (bu32){y[j]} * x.prod(i + 1, j + 1) ? j : i;
  }
  Seg2() {};
  Seg2(int _n, int* _x, int* _y)
      : n(_n), x(_n, _x), x_prod(_n, _x), y(_y, _y + _n), seg(2 * _n, 0) {
    iota(seg.begin() + n, seg.begin() + 2 * n, 0);
    for (int i = n - 1; i > 0; --i) {
      seg[i] = this->max(seg[2 * i], seg[2 * i + 1]);
    }
  }
  void upd(int i) {
    // while (i > 1) {
    //   i /= 2;
    //   seg[i] = this->max(seg[2 * i], seg[2 * i + 1]);
    // }
    for (int i = n - 1; i > 0; --i) {
      seg[i] = this->max(seg[2 * i], seg[2 * i + 1]);
    }
  }
  void setx(int i, int val) {
    x.set(i, {(uint32_t)val});
    x_prod.set(i, {(uint32_t)val});
    upd(i + n);
  }
  void sety(int i, int val) {
    y[i] = val;
    upd(i + n);
  }
  int max() {
    int loc = seg[1];
    int cur_max_idx = 0;
    for (int i = 0; i < n; ++i) {
      cur_max_idx = this->max(cur_max_idx, i);
    }
    assert(loc == cur_max_idx);
    return (x_prod.prod(0, loc + 1) * (modu32){y[loc]}).inner;
  }
};

Seg2 GLOBAL;

int init(int n, int x[], int y[]) {
  GLOBAL = Seg2(n, x, y);
  return GLOBAL.max();
}

int updateX(int pos, int val) {
  GLOBAL.setx(pos, val);
  return GLOBAL.max();
}

int updateY(int pos, int val) {
  GLOBAL.sety(pos, val);
  return GLOBAL.max();
}

#ifndef EVAL
#include "grader.cpp"
#endif

Compilation message

horses.cpp: In member function 'int Seg2::max(int, int)':
horses.cpp:81:23: warning: narrowing conversion of '((Seg2*)this)->Seg2::y.std::vector<int>::operator[](((std::vector<int>::size_type)i))' from '__gnu_cxx::__alloc_traits<std::allocator<int>, int>::value_type' {aka 'int'} to 'uint32_t' {aka 'unsigned int'} [-Wnarrowing]
   81 |     return (bu32){y[i]} < (bu32){y[j]} * x.prod(i + 1, j + 1) ? j : i;
      |                       ^
horses.cpp:81:38: warning: narrowing conversion of '((Seg2*)this)->Seg2::y.std::vector<int>::operator[](((std::vector<int>::size_type)j))' from '__gnu_cxx::__alloc_traits<std::allocator<int>, int>::value_type' {aka 'int'} to 'uint32_t' {aka 'unsigned int'} [-Wnarrowing]
   81 |     return (bu32){y[i]} < (bu32){y[j]} * x.prod(i + 1, j + 1) ? j : i;
      |                                      ^
horses.cpp: In member function 'void Seg2::upd(int)':
horses.cpp:96:14: warning: declaration of 'int i' shadows a parameter [-Wshadow]
   96 |     for (int i = n - 1; i > 0; --i) {
      |              ^
horses.cpp:91:16: note: shadowed declaration is here
   91 |   void upd(int i) {
      |            ~~~~^
horses.cpp:91:16: warning: unused parameter 'i' [-Wunused-parameter]
horses.cpp: In member function 'int Seg2::max()':
horses.cpp:116:54: warning: narrowing conversion of '((Seg2*)this)->Seg2::y.std::vector<int>::operator[](((std::vector<int>::size_type)loc))' from '__gnu_cxx::__alloc_traits<std::allocator<int>, int>::value_type' {aka 'int'} to 'uint32_t' {aka 'unsigned int'} [-Wnarrowing]
  116 |     return (x_prod.prod(0, loc + 1) * (modu32){y[loc]}).inner;
      |                                                      ^
# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 432 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 1 ms 344 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 ms 436 KB Output is correct
18 Correct 1 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 0 ms 440 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
21 Correct 0 ms 604 KB Output is correct
22 Correct 0 ms 348 KB Output is correct
23 Correct 15 ms 348 KB Output is correct
24 Correct 19 ms 500 KB Output is correct
25 Correct 11 ms 348 KB Output is correct
26 Correct 11 ms 468 KB Output is correct
27 Correct 21 ms 348 KB Output is correct
28 Correct 12 ms 344 KB Output is correct
29 Correct 28 ms 348 KB Output is correct
30 Correct 22 ms 344 KB Output is correct
31 Correct 34 ms 604 KB Output is correct
32 Correct 33 ms 348 KB Output is correct
# Verdict Execution time Memory Grader output
1 Execution timed out 1542 ms 20040 KB Time limit exceeded
2 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 440 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 1 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 0 ms 344 KB Output is correct
20 Correct 0 ms 436 KB Output is correct
21 Correct 0 ms 348 KB Output is correct
22 Correct 0 ms 348 KB Output is correct
23 Correct 15 ms 492 KB Output is correct
24 Correct 15 ms 348 KB Output is correct
25 Correct 11 ms 348 KB Output is correct
26 Correct 11 ms 348 KB Output is correct
27 Correct 20 ms 500 KB Output is correct
28 Correct 13 ms 344 KB Output is correct
29 Correct 34 ms 348 KB Output is correct
30 Correct 22 ms 348 KB Output is correct
31 Correct 34 ms 348 KB Output is correct
32 Correct 40 ms 348 KB Output is correct
33 Execution timed out 1530 ms 21840 KB Time limit exceeded
34 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 1 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 1 ms 344 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 0 ms 344 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
21 Correct 0 ms 344 KB Output is correct
22 Correct 0 ms 348 KB Output is correct
23 Correct 19 ms 348 KB Output is correct
24 Correct 13 ms 348 KB Output is correct
25 Correct 11 ms 440 KB Output is correct
26 Correct 10 ms 348 KB Output is correct
27 Correct 20 ms 444 KB Output is correct
28 Correct 12 ms 348 KB Output is correct
29 Correct 33 ms 348 KB Output is correct
30 Correct 26 ms 348 KB Output is correct
31 Correct 34 ms 488 KB Output is correct
32 Correct 28 ms 488 KB Output is correct
33 Execution timed out 1562 ms 20060 KB Time limit exceeded
34 Halted 0 ms 0 KB -