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Submission #890705

# Submission time Handle Problem Language Result Execution time Memory
890705 2023-12-21T18:52:44 Z AkibAzmain Horses (IOI15_horses) C++17
100 / 100
 372 ms 57292 KB 
#include <bits/stdc++.h>
#include "horses.h"
using namespace std;
using ll = long long;

const ll MOD = ((ll) 1e9) + 7;

ll n;
vector < ll > ma;
vector < ll > bit;
int sts = 1;
vector < ll > mst;
set < ll > cs;

ll
binpow (ll a, ll b)
{
  ll ans = 1;
  while (b)
    {
      if (b % 2) (ans *= a) %= MOD;
      b /= 2;
      if (b) (a *= a) %= MOD;
    }
  return ans;
}

ll
bitp (ll x)
{
  ll ans = 1;
  while (x >= 0)
    {
      (ans *= bit[x]) %= MOD;
      x -= (x + 1) & -(x + 1);
    }
  return ans;
}

ll
bitr (ll l, ll r)
{
  ll ans = bitp (r);
  if (l) (ans *= binpow (bitp (l - 1), MOD - 2)) %= MOD;
  return ans;
}

ll
stm (ll l, ll r)
{
  l += sts, r += sts;
  ll mx = -1;
  while (l <= r)
    {
      if (l % 2 == 1) mx = max (mx, mst[l++]);
      if (r % 2 == 0) mx = max (mx, mst[r--]);
      l /= 2, r /= 2;
    }
  return mx;
}

int
calc ()
{
  auto it = cs.end (), pit = prev (it);
  ll vl = 0;
  while (vl < MOD)
    {
      --it, --pit;
      vl = max (vl, mst[sts + *it]);
      vl *= ma[*it];
      if (vl >= MOD) break;
      if (*it && *pit + 1 <= *it - 1)
        vl = max (vl, stm (*pit + 1, *it - 1));
      if (!*pit) ++pit;
      if (!*it) break;
    }
  vl %= MOD;
  if (*it)
    (vl *= bitp (*it - 1)) %= MOD;
  return vl;
}

int init(int N, int x[], int y[]) {
  n = N;
  ma.resize (n);
  bit.resize (n);
  while (sts < n) sts *= 2;
  mst.resize (sts * 2);
  for (int i = 0; i < n; ++i)
    {
      if (x[i] > 1) cs.insert (i);
      ma[i] = x[i];
      mst[sts + i] = y[i];
      bit[i] = (x[i] * (i ? bitr (i - ((i + 1) & -(i + 1)) + 1, i - 1) : 1ll)) % MOD;
    }
  for (int i = sts - 1; i > 0; --i) mst[i] = max (mst[i * 2], mst[i * 2 + 1]);
  cs.insert (0);
  cs.insert (n - 1);
  return calc ();
}

int updateX(int pos, int val) {
  cs.erase (pos);
  if (val > 1) cs.insert (pos);
  ll dl = val * binpow (ma[pos], MOD - 2) % MOD;
  ma[pos] = val;
  for (int i = pos; i < n; i += (i + 1) & -(i + 1)) (bit[i] *= dl) %= MOD;
  cs.insert (0);
  cs.insert (n - 1);
  return calc ();
}

int updateY(int pos, int val) {
  int i = sts + pos;
  mst[i] = val;
  for (i /= 2; i > 0; i /= 2) mst[i] = max (mst[i * 2], mst[i * 2 + 1]);
  return calc ();
}

Compilation message

horses.cpp: In function 'int calc()':
horses.cpp:81:10: warning: conversion from 'll' {aka 'long long int'} to 'int' may change value [-Wconversion]
   81 |   return vl;
      |          ^~

Subtask #1
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 0 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 348 KB Output is correct
6 Correct 0 ms 344 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 1 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

Subtask #2
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 344 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 424 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 1 ms 344 KB Output is correct
16 Correct 0 ms 344 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 348 KB Output is correct
21 Correct 0 ms 348 KB Output is correct
22 Correct 0 ms 348 KB Output is correct
23 Correct 1 ms 344 KB Output is correct
24 Correct 1 ms 344 KB Output is correct
25 Correct 1 ms 344 KB Output is correct
26 Correct 1 ms 348 KB Output is correct
27 Correct 1 ms 348 KB Output is correct
28 Correct 1 ms 348 KB Output is correct
29 Correct 1 ms 348 KB Output is correct
30 Correct 1 ms 348 KB Output is correct
31 Correct 1 ms 348 KB Output is correct
32 Correct 1 ms 348 KB Output is correct

Subtask #3
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 233 ms 44724 KB Output is correct
2 Correct 340 ms 44724 KB Output is correct
3 Correct 312 ms 48624 KB Output is correct
4 Correct 372 ms 52540 KB Output is correct

Subtask #4
23.0 / 23.0

# 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 1 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 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 344 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 348 KB Output is correct
22 Correct 1 ms 344 KB Output is correct
23 Correct 1 ms 348 KB Output is correct
24 Correct 1 ms 348 KB Output is correct
25 Correct 1 ms 348 KB Output is correct
26 Correct 1 ms 348 KB Output is correct
27 Correct 1 ms 348 KB Output is correct
28 Correct 1 ms 348 KB Output is correct
29 Correct 1 ms 348 KB Output is correct
30 Correct 1 ms 348 KB Output is correct
31 Correct 1 ms 348 KB Output is correct
32 Correct 1 ms 348 KB Output is correct
33 Correct 123 ms 20392 KB Output is correct
34 Correct 121 ms 24492 KB Output is correct
35 Correct 230 ms 54784 KB Output is correct
36 Correct 251 ms 55220 KB Output is correct
37 Correct 121 ms 22612 KB Output is correct
38 Correct 169 ms 35392 KB Output is correct
39 Correct 112 ms 22456 KB Output is correct
40 Correct 226 ms 49784 KB Output is correct
41 Correct 111 ms 22608 KB Output is correct
42 Correct 114 ms 22472 KB Output is correct
43 Correct 230 ms 50396 KB Output is correct
44 Correct 222 ms 50164 KB Output is correct

Subtask #5
23.0 / 23.0

# 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 600 KB Output is correct
8 Correct 1 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 1 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 348 KB Output is correct
22 Correct 0 ms 348 KB Output is correct
23 Correct 1 ms 348 KB Output is correct
24 Correct 1 ms 344 KB Output is correct
25 Correct 1 ms 344 KB Output is correct
26 Correct 1 ms 344 KB Output is correct
27 Correct 1 ms 348 KB Output is correct
28 Correct 1 ms 348 KB Output is correct
29 Correct 1 ms 348 KB Output is correct
30 Correct 1 ms 348 KB Output is correct
31 Correct 1 ms 348 KB Output is correct
32 Correct 1 ms 348 KB Output is correct
33 Correct 270 ms 46368 KB Output is correct
34 Correct 337 ms 57292 KB Output is correct
35 Correct 306 ms 48468 KB Output is correct
36 Correct 366 ms 52368 KB Output is correct
37 Correct 120 ms 24404 KB Output is correct
38 Correct 119 ms 24404 KB Output is correct
39 Correct 239 ms 54612 KB Output is correct
40 Correct 259 ms 54640 KB Output is correct
41 Correct 121 ms 22492 KB Output is correct
42 Correct 160 ms 35216 KB Output is correct
43 Correct 112 ms 22704 KB Output is correct
44 Correct 243 ms 49808 KB Output is correct
45 Correct 111 ms 22424 KB Output is correct
46 Correct 114 ms 22472 KB Output is correct
47 Correct 241 ms 50184 KB Output is correct
48 Correct 214 ms 50236 KB Output is correct
49 Correct 165 ms 27424 KB Output is correct
50 Correct 164 ms 27476 KB Output is correct
51 Correct 309 ms 56536 KB Output is correct
52 Correct 299 ms 56060 KB Output is correct
53 Correct 207 ms 25680 KB Output is correct
54 Correct 238 ms 39252 KB Output is correct
55 Correct 161 ms 23352 KB Output is correct
56 Correct 302 ms 51532 KB Output is correct
57 Correct 142 ms 24148 KB Output is correct
58 Correct 164 ms 24656 KB Output is correct
59 Correct 226 ms 50292 KB Output is correct