oj.uz

Submission #1018586

# Submission time Handle Problem Language Result Execution time Memory
1018586 2024-07-10T07:14:22 Z AmirAli_H1 Horses (IOI15_horses) C++17
100 / 100
 819 ms 25488 KB 
// In the name of Allah

#include <bits/stdc++.h>
#include "horses.h"
#pragma GCC optimize("O3,unroll-loops")
#pragma GCC target("avx2")
using namespace std;

typedef		long long int			ll;
typedef		long double				ld;
typedef		pair<int, int>			pii;
typedef		pair<ll, ll>			pll;
typedef		complex<ld>				cld;

#define		all(x)					(x).begin(),(x).end()
#define		len(x)					((ll) (x).size())
#define		F						first
#define		S						second
#define		pb						push_back
#define		sep						' '
#define		endl					'\n'
#define		Mp						make_pair
#define		kill(x)					cout << x << '\n', exit(0)
#define		set_dec(x)				cout << fixed << setprecision(x);
#define		file_io(x,y)			freopen(x, "r", stdin); freopen(y, "w", stdout);
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());

struct node {
	int mul, mx, ind;
};

const int maxn = (1 << 19) + 4;
const int maxlg = 20;
const int mod = 1e9 + 7;

int n; pll A[maxn];
node t[2 * maxn], ca;
int R; ll valx;

node f(node a, node b) {
	node res;
	res.mul = 1ll * a.mul * b.mul % mod;
	res.mx = max(a.mx, b.mx);
	res.ind = max(a.ind, b.ind);
	return res;
}

pii fx(pii a, pii b) {
	return Mp(max(a.F, b.F), max(a.S, b.S));
}

void build(int v, int tl, int tr) {
	if (tr - tl == 1) {
		t[v].mul = A[tl].F; t[v].mx = A[tl].S;
		if (A[tl].F == 1) t[v].ind = -1;
		else t[v].ind = tl;
		return ;
	}
	int mid = (tl + tr) / 2;
	build(2 * v + 1, tl, mid); build(2 * v + 2, mid, tr);
	t[v] = f(t[2 * v + 1], t[2 * v + 2]);
}

void upd(int v, int tl, int tr, int i) {
	if (i >= tr || i < tl) return ;
	if (tr - tl == 1) {
		t[v].mul = A[tl].F; t[v].mx = A[tl].S;
		if (A[tl].F == 1) t[v].ind = -1;
		else t[v].ind = tl;
		return ;
	}
	int mid = (tl + tr) / 2;
	upd(2 * v + 1, tl, mid, i); upd(2 * v + 2, mid, tr, i);
	t[v] = f(t[2 * v + 1], t[2 * v + 2]);
}

pll get_res(int v, int tl, int tr, int l, int r) {
	l = max(l, tl); r = min(r, tr);
	if (l >= tr || r <= tl) return Mp(ca.mx, ca.ind);
	if (l == tl && r == tr) return Mp(t[v].mx, t[v].ind);
	int mid = (tl + tr) / 2;
	return fx(get_res(2 * v + 1, tl, mid, l, r), get_res(2 * v + 2, mid, tr, l, r));
}

int get_mul(int v, int tl, int tr, int l, int r) {
	l = max(l, tl); r = min(r, tr);
	if (l >= tr || r <= tl) return ca.mul;
	if (l == tl && r == tr) return t[v].mul;
	int mid = (tl + tr) / 2;
	return 1ll * get_mul(2 * v + 1, tl, mid, l, r) * get_mul(2 * v + 2, mid, tr, l, r) % mod;
}

ll get_ans(int ind) {
	if (ind >= R) {
		ll mx = 1; int j = n;
		while (j > 0) {
			pll res = get_res(0, 0, n, 0, j);
			int k = res.S;
			if (k == -1) {
				mx = max(mx, res.F); j = 0;
			}
			else {
				res = get_res(0, 0, n, k, j);
				mx = max(mx, (ll) res.F) * A[k].F; j = k;
				if (mx >= mod) break;
			}
		}
		R = j; valx = mx % mod;
	}
	return valx * get_mul(0, 0, n, 0, R) % mod;
}

int init(int N, int X[], int Y[]) {
	n = N;
	for (int i = 0; i < n; i++) A[i] = Mp(X[i], Y[i]);
	ca.mul = 1; ca.mx = 0; ca.ind = -1;
	build(0, 0, n); R = -1;
	return get_ans(n);
}

int updateX(int i, int val) {
	A[i].F = val;
	upd(0, 0, n, i);
	return get_ans(i);
}

int updateY(int i, int val) {
	A[i].S = val;
	upd(0, 0, n, i);
	return get_ans(i);
}

Compilation message

horses.cpp: In function 'node f(node, node)':
horses.cpp:42:32: warning: conversion from 'long long int' to 'int' may change value [-Wconversion]
   42 |  res.mul = 1ll * a.mul * b.mul % mod;
      |            ~~~~~~~~~~~~~~~~~~~~^~~~~
horses.cpp: In function 'void build(int, int, int)':
horses.cpp:17:17: warning: conversion from 'long long int' to 'int' may change value [-Wconversion]
   17 | #define  F      first
      |                 ^
horses.cpp:54:20: note: in expansion of macro 'F'
   54 |   t[v].mul = A[tl].F; t[v].mx = A[tl].S;
      |                    ^
horses.cpp:18:17: warning: conversion from 'long long int' to 'int' may change value [-Wconversion]
   18 | #define  S      second
      |                 ^
horses.cpp:54:39: note: in expansion of macro 'S'
   54 |   t[v].mul = A[tl].F; t[v].mx = A[tl].S;
      |                                       ^
horses.cpp: In function 'void upd(int, int, int, int)':
horses.cpp:17:17: warning: conversion from 'long long int' to 'int' may change value [-Wconversion]
   17 | #define  F      first
      |                 ^
horses.cpp:67:20: note: in expansion of macro 'F'
   67 |   t[v].mul = A[tl].F; t[v].mx = A[tl].S;
      |                    ^
horses.cpp:18:17: warning: conversion from 'long long int' to 'int' may change value [-Wconversion]
   18 | #define  S      second
      |                 ^
horses.cpp:67:39: note: in expansion of macro 'S'
   67 |   t[v].mul = A[tl].F; t[v].mx = A[tl].S;
      |                                       ^
horses.cpp: In function 'int get_mul(int, int, int, int, int)':
horses.cpp:90:85: warning: conversion from 'long long int' to 'int' may change value [-Wconversion]
   90 |  return 1ll * get_mul(2 * v + 1, tl, mid, l, r) * get_mul(2 * v + 2, mid, tr, l, r) % mod;
      |         ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^~~~~
horses.cpp: In function 'll get_ans(int)':
horses.cpp:18:17: warning: conversion from 'long long int' to 'int' may change value [-Wconversion]
   18 | #define  S      second
      |                 ^
horses.cpp:98:16: note: in expansion of macro 'S'
   98 |    int k = res.S;
      |                ^
horses.cpp: In function 'int init(int, int*, int*)':
horses.cpp:118:16: warning: conversion from 'll' {aka 'long long int'} to 'int' may change value [-Wconversion]
  118 |  return get_ans(n);
      |         ~~~~~~~^~~
horses.cpp: In function 'int updateX(int, int)':
horses.cpp:124:16: warning: conversion from 'll' {aka 'long long int'} to 'int' may change value [-Wconversion]
  124 |  return get_ans(i);
      |         ~~~~~~~^~~
horses.cpp: In function 'int updateY(int, int)':
horses.cpp:130:16: warning: conversion from 'll' {aka 'long long int'} to 'int' may change value [-Wconversion]
  130 |  return get_ans(i);
      |         ~~~~~~~^~~

Subtask #1
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2392 KB Output is correct
2 Correct 1 ms 2396 KB Output is correct
3 Correct 1 ms 2396 KB Output is correct
4 Correct 1 ms 2396 KB Output is correct
5 Correct 0 ms 2396 KB Output is correct
6 Correct 1 ms 2396 KB Output is correct
7 Correct 0 ms 2396 KB Output is correct
8 Correct 1 ms 2396 KB Output is correct
9 Correct 1 ms 2396 KB Output is correct
10 Correct 0 ms 2396 KB Output is correct
11 Correct 1 ms 2396 KB Output is correct
12 Correct 1 ms 2396 KB Output is correct
13 Correct 0 ms 2396 KB Output is correct
14 Correct 1 ms 2396 KB Output is correct
15 Correct 0 ms 2396 KB Output is correct
16 Correct 1 ms 2396 KB Output is correct
17 Correct 0 ms 2396 KB Output is correct
18 Correct 1 ms 2396 KB Output is correct
19 Correct 1 ms 2396 KB Output is correct
20 Correct 0 ms 2396 KB Output is correct

Subtask #2
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2396 KB Output is correct
2 Correct 0 ms 2396 KB Output is correct
3 Correct 0 ms 2396 KB Output is correct
4 Correct 0 ms 2396 KB Output is correct
5 Correct 0 ms 2396 KB Output is correct
6 Correct 0 ms 2396 KB Output is correct
7 Correct 1 ms 2396 KB Output is correct
8 Correct 0 ms 2396 KB Output is correct
9 Correct 0 ms 2396 KB Output is correct
10 Correct 0 ms 2396 KB Output is correct
11 Correct 1 ms 2396 KB Output is correct
12 Correct 0 ms 2396 KB Output is correct
13 Correct 0 ms 2396 KB Output is correct
14 Correct 1 ms 2396 KB Output is correct
15 Correct 0 ms 2392 KB Output is correct
16 Correct 1 ms 2396 KB Output is correct
17 Correct 1 ms 2396 KB Output is correct
18 Correct 0 ms 2396 KB Output is correct
19 Correct 1 ms 2396 KB Output is correct
20 Correct 0 ms 2396 KB Output is correct
21 Correct 1 ms 2396 KB Output is correct
22 Correct 1 ms 2396 KB Output is correct
23 Correct 1 ms 2396 KB Output is correct
24 Correct 1 ms 2396 KB Output is correct
25 Correct 2 ms 2392 KB Output is correct
26 Correct 1 ms 2396 KB Output is correct
27 Correct 2 ms 2396 KB Output is correct
28 Correct 1 ms 2396 KB Output is correct
29 Correct 1 ms 2396 KB Output is correct
30 Correct 1 ms 2396 KB Output is correct
31 Correct 3 ms 2396 KB Output is correct
32 Correct 4 ms 2540 KB Output is correct

Subtask #3
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 242 ms 25428 KB Output is correct
2 Correct 107 ms 25248 KB Output is correct
3 Correct 71 ms 25348 KB Output is correct
4 Correct 88 ms 25424 KB Output is correct

Subtask #4
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 2396 KB Output is correct
2 Correct 1 ms 2396 KB Output is correct
3 Correct 1 ms 2396 KB Output is correct
4 Correct 0 ms 2396 KB Output is correct
5 Correct 1 ms 2396 KB Output is correct
6 Correct 1 ms 2396 KB Output is correct
7 Correct 1 ms 2396 KB Output is correct
8 Correct 0 ms 2396 KB Output is correct
9 Correct 0 ms 2396 KB Output is correct
10 Correct 1 ms 2396 KB Output is correct
11 Correct 1 ms 2396 KB Output is correct
12 Correct 0 ms 2396 KB Output is correct
13 Correct 1 ms 2392 KB Output is correct
14 Correct 1 ms 2392 KB Output is correct
15 Correct 0 ms 2396 KB Output is correct
16 Correct 0 ms 2396 KB Output is correct
17 Correct 1 ms 2396 KB Output is correct
18 Correct 1 ms 2396 KB Output is correct
19 Correct 1 ms 2392 KB Output is correct
20 Correct 1 ms 2396 KB Output is correct
21 Correct 1 ms 2396 KB Output is correct
22 Correct 1 ms 2396 KB Output is correct
23 Correct 1 ms 2396 KB Output is correct
24 Correct 1 ms 2396 KB Output is correct
25 Correct 2 ms 2396 KB Output is correct
26 Correct 1 ms 2396 KB Output is correct
27 Correct 2 ms 2396 KB Output is correct
28 Correct 1 ms 2648 KB Output is correct
29 Correct 1 ms 2396 KB Output is correct
30 Correct 1 ms 2396 KB Output is correct
31 Correct 3 ms 2396 KB Output is correct
32 Correct 4 ms 2540 KB Output is correct
33 Correct 30 ms 24400 KB Output is correct
34 Correct 29 ms 24500 KB Output is correct
35 Correct 66 ms 24512 KB Output is correct
36 Correct 50 ms 24404 KB Output is correct
37 Correct 26 ms 24508 KB Output is correct
38 Correct 29 ms 24484 KB Output is correct
39 Correct 26 ms 24524 KB Output is correct
40 Correct 35 ms 24524 KB Output is correct
41 Correct 80 ms 24584 KB Output is correct
42 Correct 102 ms 24412 KB Output is correct
43 Correct 33 ms 24344 KB Output is correct
44 Correct 33 ms 24452 KB Output is correct

Subtask #5
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2396 KB Output is correct
2 Correct 1 ms 2392 KB Output is correct
3 Correct 1 ms 2396 KB Output is correct
4 Correct 1 ms 2396 KB Output is correct
5 Correct 0 ms 2396 KB Output is correct
6 Correct 1 ms 2396 KB Output is correct
7 Correct 1 ms 2396 KB Output is correct
8 Correct 1 ms 2396 KB Output is correct
9 Correct 1 ms 2396 KB Output is correct
10 Correct 1 ms 2396 KB Output is correct
11 Correct 1 ms 2396 KB Output is correct
12 Correct 1 ms 2396 KB Output is correct
13 Correct 0 ms 2396 KB Output is correct
14 Correct 1 ms 2396 KB Output is correct
15 Correct 1 ms 2396 KB Output is correct
16 Correct 0 ms 2396 KB Output is correct
17 Correct 0 ms 2396 KB Output is correct
18 Correct 1 ms 2396 KB Output is correct
19 Correct 0 ms 2396 KB Output is correct
20 Correct 1 ms 2396 KB Output is correct
21 Correct 1 ms 2396 KB Output is correct
22 Correct 0 ms 2396 KB Output is correct
23 Correct 1 ms 2396 KB Output is correct
24 Correct 1 ms 2396 KB Output is correct
25 Correct 2 ms 2396 KB Output is correct
26 Correct 1 ms 2396 KB Output is correct
27 Correct 2 ms 2396 KB Output is correct
28 Correct 1 ms 2396 KB Output is correct
29 Correct 1 ms 2396 KB Output is correct
30 Correct 1 ms 2396 KB Output is correct
31 Correct 4 ms 2528 KB Output is correct
32 Correct 4 ms 2392 KB Output is correct
33 Correct 248 ms 25428 KB Output is correct
34 Correct 116 ms 25488 KB Output is correct
35 Correct 78 ms 25340 KB Output is correct
36 Correct 88 ms 25360 KB Output is correct
37 Correct 28 ms 24412 KB Output is correct
38 Correct 29 ms 24412 KB Output is correct
39 Correct 65 ms 24400 KB Output is correct
40 Correct 50 ms 24408 KB Output is correct
41 Correct 31 ms 24668 KB Output is correct
42 Correct 24 ms 24436 KB Output is correct
43 Correct 25 ms 24408 KB Output is correct
44 Correct 34 ms 24588 KB Output is correct
45 Correct 69 ms 24412 KB Output is correct
46 Correct 95 ms 24408 KB Output is correct
47 Correct 31 ms 24344 KB Output is correct
48 Correct 29 ms 24412 KB Output is correct
49 Correct 81 ms 25424 KB Output is correct
50 Correct 83 ms 25428 KB Output is correct
51 Correct 245 ms 25268 KB Output is correct
52 Correct 87 ms 25384 KB Output is correct
53 Correct 79 ms 25428 KB Output is correct
54 Correct 66 ms 25172 KB Output is correct
55 Correct 137 ms 24552 KB Output is correct
56 Correct 99 ms 25428 KB Output is correct
57 Correct 549 ms 25260 KB Output is correct
58 Correct 819 ms 25476 KB Output is correct
59 Correct 33 ms 24408 KB Output is correct