oj.uz

Submission #531884

# Submission time Handle Problem Language Result Execution time Memory
531884 2022-03-01T19:14:11 Z Alex_tz307 Game (IOI13_game) C++17
100 / 100
 6386 ms 47336 KB 
#include <bits/stdc++.h>
#include "game.h"
 
using namespace std;
 
const int mod = 1e9 + 9;
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
 
struct treapNode {
  treapNode* l;
  treapNode* r;
  int key, prior;
  int64_t val, gcd;
};
 
using ptr = treapNode*;
using pt = pair<ptr, ptr>;
ptr NIL = new treapNode{nullptr, nullptr, 0, -1, 0, 0};
 
int64_t gcd2(int64_t X, int64_t Y) {
  int64_t tmp;
  while (X != Y && Y != 0) {
    tmp = X;
    X = Y;
    Y = tmp % Y;
  }
  return X;
}
 
void updateNode(ptr &x) {
  if (x != NIL) {
    x->gcd = gcd2(gcd2(x->l->gcd, x->val), x->r->gcd);
  }
}
 
pt split(ptr &x, int k) {
  if (x == NIL) {
    return {NIL, NIL};
  }
  if (k < x->key) {
    pt p = split(x->l, k);
    x->l = p.second;
    updateNode(x);
    return {p.first, x};
  }
  pt p = split(x->r, k);
  x->r = p.first;
  updateNode(x);
  return {x, p.second};
}
 
ptr join(ptr x, ptr y) {
  if (x == NIL) {
    return y;
  }
  if (y == NIL) {
    return x;
  }
  if (y->prior < x->prior) {
    x->r = join(x->r, y);
    updateNode(x);
    return x;
  }
  y->l = join(x, y->l);
  updateNode(y);
  return y;
}
 
bool check(ptr &x, int k, int64_t v) {
  if (x == NIL) {
    return false;
  }
  if (x->key == k) {
    x->val = v;
    updateNode(x);
    return true;
  }
  if (k < x->key) {
    bool ret = check(x->l, k, v);
    updateNode(x);
    return ret;
  } else {
    bool ret = check(x->r, k, v);
    updateNode(x);
    return ret;
  }
}
 
ptr ins(ptr &x, int k, int64_t v) {
  if (check(x, k, v)) {
    return x;
  }
  pt p = split(x, k);
  ptr newNode = new treapNode{NIL, NIL, k, rng() % mod, v, v};
  return join(join(p.first, newNode), p.second);
}
 
int64_t queryY(ptr &x, int st, int dr) {
  pt p1 = split(x, st - 1);
  pt p2 = split(p1.second, dr);
  int64_t ans = p2.first->gcd;
  p1.second = join(p2.first, p2.second);
  x = join(p1.first, p1.second);
  return ans;
}
 
struct sgtNode {
  ptr root;
  sgtNode* l;
  sgtNode* r;
 
  sgtNode() : root(NIL), l(nullptr), r(nullptr) {}
} *root;
 
void update(sgtNode* &x, int lx, int rx, int X, int Y, int64_t v) {
  if (!x) {
    x = new sgtNode();
  }
  if (lx == rx) {
    x->root = ins(x->root, Y, v);
    return;
  }
  int mid = (lx + rx) / 2;
  if (X <= mid) {
    update(x->l, lx, mid, X, Y, v);
  } else {
    update(x->r, mid + 1, rx, X, Y, v);
  }
  int64_t gcd = 0;
  if (x->l) {
    gcd = queryY(x->l->root, Y, Y);
  }
  if (x->r) {
    gcd = gcd2(gcd, queryY(x->r->root, Y, Y));
  }
  x->root = ins(x->root, Y, gcd);
}
 
int64_t queryX(sgtNode* &x, int lx, int rx, int x1, int x2, int y1, int y2) {
  if (!x) {
    return 0;
  }
  if (x1 <= lx && rx <= x2) {
    return queryY(x->root, y1, y2);
  }
  int mid = (lx + rx) / 2;
  int64_t ans = 0;
  if (x1 <= mid) {
    ans = gcd2(ans, queryX(x->l, lx, mid, x1, x2, y1, y2));
  }
  if (mid < x2) {
    ans = gcd2(ans, queryX(x->r, mid + 1, rx, x1, x2, y1, y2));
  }
  return ans;
}
 
int N;
 
void init(int R, int C) {
  N = R;
}
 
void update(int P, int Q, long long K) {
  update(root, 0, N - 1, P, Q, K);
}
 
long long calculate(int P, int Q, int U, int V) {
  return queryX(root, 0, N - 1, P, U, Q, V);
}

Compilation message

game.cpp: In function 'treapNode* ins(treapNode*&, int, int64_t)':
game.cpp:94:50: warning: narrowing conversion of '(rng.std::mersenne_twister_engine<long unsigned int, 32, 624, 397, 31, 2567483615, 11, 4294967295, 7, 2636928640, 15, 4022730752, 18, 1812433253>::operator()() % ((std::mersenne_twister_engine<long unsigned int, 32, 624, 397, 31, 2567483615, 11, 4294967295, 7, 2636928640, 15, 4022730752, 18, 1812433253>::result_type)((int)mod)))' from 'std::mersenne_twister_engine<long unsigned int, 32, 624, 397, 31, 2567483615, 11, 4294967295, 7, 2636928640, 15, 4022730752, 18, 1812433253>::result_type' {aka 'long unsigned int'} to 'int' [-Wnarrowing]
   94 |   ptr newNode = new treapNode{NIL, NIL, k, rng() % mod, v, v};
      |                                            ~~~~~~^~~~~

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 2 ms 296 KB Output is correct
3 Correct 2 ms 332 KB Output is correct
4 Correct 0 ms 204 KB Output is correct
5 Correct 0 ms 204 KB Output is correct
6 Correct 1 ms 332 KB Output is correct
7 Correct 1 ms 292 KB Output is correct
8 Correct 1 ms 204 KB Output is correct
9 Correct 2 ms 296 KB Output is correct
10 Correct 1 ms 204 KB Output is correct
11 Correct 1 ms 204 KB Output is correct
12 Correct 1 ms 204 KB Output is correct

Subtask #2
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 1 ms 204 KB Output is correct
4 Correct 913 ms 6784 KB Output is correct
5 Correct 478 ms 6940 KB Output is correct
6 Correct 1409 ms 3716 KB Output is correct
7 Correct 1656 ms 3464 KB Output is correct
8 Correct 1072 ms 3240 KB Output is correct
9 Correct 1552 ms 3580 KB Output is correct
10 Correct 1378 ms 3172 KB Output is correct
11 Correct 0 ms 204 KB Output is correct

Subtask #3
26.0 / 26.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 204 KB Output is correct
2 Correct 2 ms 300 KB Output is correct
3 Correct 2 ms 332 KB Output is correct
4 Correct 0 ms 204 KB Output is correct
5 Correct 0 ms 296 KB Output is correct
6 Correct 1 ms 332 KB Output is correct
7 Correct 1 ms 204 KB Output is correct
8 Correct 0 ms 204 KB Output is correct
9 Correct 1 ms 332 KB Output is correct
10 Correct 1 ms 204 KB Output is correct
11 Correct 1 ms 204 KB Output is correct
12 Correct 1483 ms 8392 KB Output is correct
13 Correct 3252 ms 3424 KB Output is correct
14 Correct 420 ms 1204 KB Output is correct
15 Correct 3542 ms 4076 KB Output is correct
16 Correct 488 ms 5920 KB Output is correct
17 Correct 2007 ms 4360 KB Output is correct
18 Correct 3678 ms 6472 KB Output is correct
19 Correct 3054 ms 6580 KB Output is correct
20 Correct 2925 ms 6072 KB Output is correct
21 Correct 1 ms 204 KB Output is correct

Subtask #4
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 2 ms 332 KB Output is correct
3 Correct 2 ms 332 KB Output is correct
4 Correct 1 ms 292 KB Output is correct
5 Correct 1 ms 204 KB Output is correct
6 Correct 2 ms 292 KB Output is correct
7 Correct 1 ms 204 KB Output is correct
8 Correct 1 ms 204 KB Output is correct
9 Correct 2 ms 332 KB Output is correct
10 Correct 1 ms 204 KB Output is correct
11 Correct 1 ms 204 KB Output is correct
12 Correct 944 ms 6720 KB Output is correct
13 Correct 439 ms 7020 KB Output is correct
14 Correct 1385 ms 3752 KB Output is correct
15 Correct 1615 ms 3480 KB Output is correct
16 Correct 1039 ms 3208 KB Output is correct
17 Correct 1512 ms 3492 KB Output is correct
18 Correct 1344 ms 3276 KB Output is correct
19 Correct 1390 ms 8436 KB Output is correct
20 Correct 3215 ms 3368 KB Output is correct
21 Correct 438 ms 1272 KB Output is correct
22 Correct 3492 ms 4088 KB Output is correct
23 Correct 468 ms 6076 KB Output is correct
24 Correct 2121 ms 4336 KB Output is correct
25 Correct 3448 ms 6252 KB Output is correct
26 Correct 3098 ms 6480 KB Output is correct
27 Correct 2827 ms 5944 KB Output is correct
28 Correct 1109 ms 21172 KB Output is correct
29 Correct 2087 ms 25608 KB Output is correct
30 Correct 4343 ms 18440 KB Output is correct
31 Correct 3699 ms 14640 KB Output is correct
32 Correct 542 ms 2416 KB Output is correct
33 Correct 854 ms 2840 KB Output is correct
34 Correct 724 ms 22416 KB Output is correct
35 Correct 2204 ms 12924 KB Output is correct
36 Correct 4115 ms 22428 KB Output is correct
37 Correct 3460 ms 22508 KB Output is correct
38 Correct 3345 ms 22060 KB Output is correct
39 Correct 2767 ms 17912 KB Output is correct
40 Correct 1 ms 208 KB Output is correct

Subtask #5
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 204 KB Output is correct
2 Correct 2 ms 332 KB Output is correct
3 Correct 1 ms 204 KB Output is correct
4 Correct 0 ms 204 KB Output is correct
5 Correct 0 ms 204 KB Output is correct
6 Correct 1 ms 332 KB Output is correct
7 Correct 0 ms 204 KB Output is correct
8 Correct 1 ms 204 KB Output is correct
9 Correct 1 ms 204 KB Output is correct
10 Correct 1 ms 204 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 903 ms 6220 KB Output is correct
13 Correct 410 ms 6596 KB Output is correct
14 Correct 1339 ms 3508 KB Output is correct
15 Correct 1515 ms 3084 KB Output is correct
16 Correct 983 ms 2884 KB Output is correct
17 Correct 1464 ms 3372 KB Output is correct
18 Correct 1232 ms 2708 KB Output is correct
19 Correct 1342 ms 7932 KB Output is correct
20 Correct 2975 ms 3112 KB Output is correct
21 Correct 401 ms 836 KB Output is correct
22 Correct 3340 ms 3960 KB Output is correct
23 Correct 445 ms 5728 KB Output is correct
24 Correct 1937 ms 4088 KB Output is correct
25 Correct 3252 ms 5940 KB Output is correct
26 Correct 2878 ms 6092 KB Output is correct
27 Correct 2667 ms 5508 KB Output is correct
28 Correct 1050 ms 20852 KB Output is correct
29 Correct 1949 ms 24636 KB Output is correct
30 Correct 4290 ms 17500 KB Output is correct
31 Correct 3750 ms 13636 KB Output is correct
32 Correct 617 ms 1728 KB Output is correct
33 Correct 909 ms 2060 KB Output is correct
34 Correct 814 ms 21880 KB Output is correct
35 Correct 2432 ms 12308 KB Output is correct
36 Correct 4670 ms 22156 KB Output is correct
37 Correct 3662 ms 22400 KB Output is correct
38 Correct 3678 ms 21820 KB Output is correct
39 Correct 1541 ms 44996 KB Output is correct
40 Correct 3321 ms 47336 KB Output is correct
41 Correct 6386 ms 36176 KB Output is correct
42 Correct 5645 ms 27576 KB Output is correct
43 Correct 1357 ms 45228 KB Output is correct
44 Correct 833 ms 1768 KB Output is correct
45 Correct 2850 ms 17704 KB Output is correct
46 Correct 5642 ms 45324 KB Output is correct
47 Correct 5700 ms 45340 KB Output is correct
48 Correct 5407 ms 44656 KB Output is correct
49 Correct 1 ms 204 KB Output is correct