Submission #1026893

# Submission time Handle Problem Language Result Execution time Memory
1026893 2024-07-18T13:05:54 Z TraianDanciu Horses (IOI15_horses) C++17
54 / 100
798 ms 71808 KB
#include "horses.h"
#include <math.h>

#define MAXN 500000
#define MOD 1000000007

void euclid(long long a, long long b, long long &x, long long &y) {
  long long x0, y0;

  if(b == 0) {
    x = 1;
    y = 0;
  } else {
    euclid(b, a % b, x0, y0);
    x = y0;
    y = x0 - a / b * y0;
  }
}

struct Numar {
  double ln;
  int val;

  Numar(int _val) {
    val = _val % MOD;
    ln = log(val);
  }

  Numar() {}

  inline Numar operator *(Numar oth) {
    Numar ret;
    ret.val = 1LL * val * oth.val % MOD;
    ret.ln = ln + oth.ln;
    return ret;
  }

  inline Numar operator /(Numar oth) {
    Numar ret;
    long long x, y;
    euclid(oth.val, MOD, x, y);
    x %= MOD;
    if(x < 0) {
      x += MOD;
    }
    ret.val = 1LL * val * x % MOD;
    ret.ln = ln - oth.ln;
    return ret;
  }

  inline bool operator <(Numar oth) {
    return ln < oth.ln;
  }
};

static inline Numar max(Numar a, Numar b) {
  return a < b ? b : a;
}

Numar aint[4 * MAXN], lazy[4 * MAXN], qval;
int n, x[MAXN], y[MAXN], qleft, qright;

void propagate(int node, int left, int right) {
  aint[node] = aint[node] * lazy[node];
  if(left < right) {
    lazy[2 * node + 1] = lazy[2 * node + 1] * lazy[node];
    lazy[2 * node + 2] = lazy[2 * node + 2] * lazy[node];
  }
  lazy[node] = Numar(1);
}

void _update(int node, int left, int right) {
  int middle;

  propagate(node, left, right);
  if(qleft <= left && right <= qright) {
    lazy[node] = lazy[node] * qval;
    propagate(node, left, right);
  } else {
    middle = (left + right) / 2;

    propagate(2 * node + 1, left, middle);
    propagate(2 * node + 2, middle + 1, right);

    if(qleft <= middle) {
      _update(2 * node + 1, left, middle);
    }
    if(middle < qright) {
      _update(2 * node + 2, middle + 1, right);
    }

    aint[node] = max(aint[2 * node + 1], aint[2 * node + 2]);
  }
}
void update(int _qleft, int _qright, Numar _qval) {
  qleft = _qleft;
  qright = _qright;
  qval = _qval;
  _update(0, 0, n - 1);
} 

Numar _query(int node, int left, int right) {
  int middle;
  Numar ans;

  propagate(node, left, right);
  if(qleft <= left && right <= qright) {
    return aint[node];
  }

  middle = (left + right) / 2;
  if(qleft <= middle && middle < qright) {
    ans = max(_query(2 * node + 1, left, middle),
              _query(2 * node + 2, middle + 1, right));
  } else if(qleft <= middle) {
    ans = _query(2 * node + 1, left, middle);
  } else {
    ans = _query(2 * node + 2, middle + 1, right);
  }

  return ans;
}
Numar query(int _qleft, int _qright) {
  qleft = _qleft;
  qright = _qright;
  return _query(0, 0, n - 1);
}

int init(int _n, int _x[], int _y[]) {
  int i;

  n = _n;
  for(i = 0; i < 4 * n; i++) {
    aint[i] = lazy[i] = Numar(1);
  }

  for(i = 0; i < n; i++) {
    x[i] = _x[i];
    update(i, n - 1, Numar(x[i]));
    y[i] = _y[i];
    update(i, i, Numar(y[i]));
  }

  return query(0, n - 1).val;
}

int updateX(int pos, int val) {
  update(pos, n - 1, Numar(val) / Numar(x[pos]));
  x[pos] = val;
  return query(0, n - 1).val;
}

int updateY(int pos, int val) {
  update(pos, pos, Numar(val) / Numar(y[pos]));
  y[pos] = val;
  return query(0, n - 1).val;
}

Compilation message

horses.cpp: In member function 'Numar Numar::operator*(Numar)':
horses.cpp:33:35: warning: conversion from 'long long int' to 'int' may change value [-Wconversion]
   33 |     ret.val = 1LL * val * oth.val % MOD;
      |                                   ^
horses.cpp: In member function 'Numar Numar::operator/(Numar)':
horses.cpp:46:29: warning: conversion from 'long long int' to 'int' may change value [-Wconversion]
   46 |     ret.val = 1LL * val * x % MOD;
      |                             ^
# Verdict Execution time Memory Grader output
1 Correct 1 ms 6492 KB Output is correct
2 Correct 1 ms 6492 KB Output is correct
3 Correct 1 ms 6556 KB Output is correct
4 Correct 1 ms 6492 KB Output is correct
5 Correct 1 ms 6492 KB Output is correct
6 Correct 1 ms 6564 KB Output is correct
7 Correct 1 ms 6492 KB Output is correct
8 Correct 1 ms 6492 KB Output is correct
9 Correct 1 ms 6492 KB Output is correct
10 Correct 1 ms 6492 KB Output is correct
11 Correct 1 ms 6492 KB Output is correct
12 Correct 1 ms 6492 KB Output is correct
13 Correct 1 ms 6492 KB Output is correct
14 Correct 1 ms 6492 KB Output is correct
15 Correct 1 ms 6492 KB Output is correct
16 Correct 0 ms 6492 KB Output is correct
17 Correct 1 ms 6492 KB Output is correct
18 Correct 1 ms 6492 KB Output is correct
19 Correct 1 ms 6492 KB Output is correct
20 Correct 1 ms 6492 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 6492 KB Output is correct
2 Correct 1 ms 6492 KB Output is correct
3 Correct 1 ms 6488 KB Output is correct
4 Correct 1 ms 6492 KB Output is correct
5 Correct 1 ms 6492 KB Output is correct
6 Correct 1 ms 6488 KB Output is correct
7 Correct 1 ms 6492 KB Output is correct
8 Correct 1 ms 6492 KB Output is correct
9 Correct 1 ms 6492 KB Output is correct
10 Correct 1 ms 6492 KB Output is correct
11 Correct 1 ms 6492 KB Output is correct
12 Correct 1 ms 6492 KB Output is correct
13 Correct 1 ms 6492 KB Output is correct
14 Correct 1 ms 6492 KB Output is correct
15 Correct 1 ms 6492 KB Output is correct
16 Correct 1 ms 6492 KB Output is correct
17 Correct 1 ms 6492 KB Output is correct
18 Correct 1 ms 6492 KB Output is correct
19 Correct 1 ms 6492 KB Output is correct
20 Correct 1 ms 6492 KB Output is correct
21 Correct 0 ms 6492 KB Output is correct
22 Correct 1 ms 6492 KB Output is correct
23 Correct 2 ms 6492 KB Output is correct
24 Correct 2 ms 6492 KB Output is correct
25 Correct 2 ms 6492 KB Output is correct
26 Correct 2 ms 6492 KB Output is correct
27 Correct 2 ms 6492 KB Output is correct
28 Correct 2 ms 6492 KB Output is correct
29 Correct 2 ms 6492 KB Output is correct
30 Correct 2 ms 6492 KB Output is correct
31 Correct 2 ms 6592 KB Output is correct
32 Correct 2 ms 6492 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 692 ms 71684 KB Output is correct
2 Correct 777 ms 71764 KB Output is correct
3 Correct 719 ms 71668 KB Output is correct
4 Correct 776 ms 71808 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 6488 KB Output is correct
2 Correct 1 ms 6744 KB Output is correct
3 Correct 1 ms 6492 KB Output is correct
4 Correct 1 ms 6492 KB Output is correct
5 Correct 1 ms 6492 KB Output is correct
6 Correct 1 ms 6492 KB Output is correct
7 Correct 1 ms 6492 KB Output is correct
8 Correct 1 ms 6492 KB Output is correct
9 Correct 1 ms 6492 KB Output is correct
10 Correct 1 ms 6492 KB Output is correct
11 Correct 1 ms 6488 KB Output is correct
12 Correct 1 ms 6492 KB Output is correct
13 Correct 1 ms 6492 KB Output is correct
14 Correct 1 ms 6492 KB Output is correct
15 Correct 1 ms 6492 KB Output is correct
16 Correct 1 ms 6492 KB Output is correct
17 Correct 1 ms 6492 KB Output is correct
18 Correct 1 ms 6492 KB Output is correct
19 Correct 1 ms 6492 KB Output is correct
20 Correct 1 ms 6492 KB Output is correct
21 Correct 1 ms 6492 KB Output is correct
22 Correct 1 ms 6492 KB Output is correct
23 Correct 2 ms 6492 KB Output is correct
24 Correct 2 ms 6492 KB Output is correct
25 Correct 2 ms 6488 KB Output is correct
26 Correct 2 ms 6492 KB Output is correct
27 Correct 2 ms 6492 KB Output is correct
28 Correct 2 ms 6492 KB Output is correct
29 Correct 2 ms 6492 KB Output is correct
30 Correct 2 ms 6580 KB Output is correct
31 Correct 2 ms 6492 KB Output is correct
32 Correct 2 ms 6492 KB Output is correct
33 Correct 685 ms 70716 KB Output is correct
34 Correct 649 ms 70740 KB Output is correct
35 Correct 677 ms 70908 KB Output is correct
36 Correct 666 ms 70932 KB Output is correct
37 Correct 672 ms 70988 KB Output is correct
38 Correct 672 ms 70856 KB Output is correct
39 Correct 658 ms 70740 KB Output is correct
40 Correct 680 ms 71012 KB Output is correct
41 Correct 663 ms 70740 KB Output is correct
42 Correct 651 ms 70736 KB Output is correct
43 Incorrect 716 ms 70832 KB Output isn't correct
44 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 1 ms 6492 KB Output is correct
2 Correct 1 ms 6492 KB Output is correct
3 Correct 1 ms 6492 KB Output is correct
4 Correct 1 ms 6492 KB Output is correct
5 Correct 1 ms 6492 KB Output is correct
6 Correct 1 ms 6492 KB Output is correct
7 Correct 1 ms 6492 KB Output is correct
8 Correct 1 ms 6492 KB Output is correct
9 Correct 1 ms 6492 KB Output is correct
10 Correct 1 ms 6488 KB Output is correct
11 Correct 1 ms 6492 KB Output is correct
12 Correct 1 ms 6492 KB Output is correct
13 Correct 1 ms 6492 KB Output is correct
14 Correct 1 ms 6492 KB Output is correct
15 Correct 1 ms 6492 KB Output is correct
16 Correct 1 ms 6492 KB Output is correct
17 Correct 1 ms 6492 KB Output is correct
18 Correct 1 ms 6492 KB Output is correct
19 Correct 1 ms 6492 KB Output is correct
20 Correct 1 ms 6492 KB Output is correct
21 Correct 1 ms 6492 KB Output is correct
22 Correct 1 ms 6492 KB Output is correct
23 Correct 3 ms 6492 KB Output is correct
24 Correct 2 ms 6492 KB Output is correct
25 Correct 2 ms 6492 KB Output is correct
26 Correct 2 ms 6492 KB Output is correct
27 Correct 2 ms 6492 KB Output is correct
28 Correct 2 ms 6492 KB Output is correct
29 Correct 2 ms 6492 KB Output is correct
30 Correct 2 ms 6492 KB Output is correct
31 Correct 2 ms 6492 KB Output is correct
32 Correct 2 ms 6492 KB Output is correct
33 Correct 769 ms 71668 KB Output is correct
34 Correct 798 ms 71756 KB Output is correct
35 Correct 756 ms 71764 KB Output is correct
36 Correct 727 ms 71760 KB Output is correct
37 Correct 620 ms 70736 KB Output is correct
38 Correct 619 ms 70836 KB Output is correct
39 Correct 621 ms 70904 KB Output is correct
40 Correct 649 ms 70740 KB Output is correct
41 Correct 627 ms 70960 KB Output is correct
42 Correct 647 ms 70872 KB Output is correct
43 Correct 605 ms 70740 KB Output is correct
44 Correct 642 ms 70736 KB Output is correct
45 Correct 591 ms 70740 KB Output is correct
46 Correct 658 ms 70740 KB Output is correct
47 Incorrect 658 ms 70644 KB Output isn't correct
48 Halted 0 ms 0 KB -