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Submission #1018596

# Submission time Handle Problem Language Result Execution time Memory
1018596 2024-07-10T07:18:00 Z parsadox2 Horses (IOI15_horses) C++17
100 / 100
 263 ms 52028 KB 
#include "horses.h"
#include <bits/stdc++.h>
 
using namespace std;
 
const long long N = 5e5 + 10 , mod = 1e9 + 7;
 
long long n , x[N] , y[N] , mulx;
set <long long> st;
 
long long tav(long long a , long long b)
{
	long long res = 1;
	while(b)
	{
		if(b & 1)
			res = 1LL * res * a % mod;
		b >>= 1;
		a = 1LL * a * a % mod;
	}
	return res;
}
 
struct SEG{
	long long mx[N << 4];
	void Build(long long node = 1 , long long nl = 0 , long long nr = n)
	{
		if(nr - nl == 1)
		{
			mx[node] = y[nl];
			return;
		}
		long long mid = (nl + nr) >> 1 , lc = node << 1 , rc = lc | 1;
		Build(lc , nl , mid);  Build(rc , mid , nr);
		mx[node] = max(mx[lc] , mx[rc]);
	}
	void Update(long long id , long long node = 1 , long long nl = 0 , long long nr = n)
	{
		if(nr - nl == 1)
		{
			mx[node] = y[nl];
			return;
		}
		long long mid = (nl + nr) >> 1 , lc = node << 1 , rc = lc | 1;
		if(id < mid)
			Update(id , lc , nl , mid);
		else
			Update(id , rc , mid , nr);
		mx[node] = max(mx[lc] , mx[rc]);
	}
	long long Get(long long l , long long r , long long node = 1 , long long nl = 0 , long long nr = n)
	{
		if(r <= nl || nr <= l)
			return 0;
		if(l <= nl && nr <= r)
			return mx[node];
		long long mid = (nl + nr) >> 1 , lc = node << 1 , rc = lc | 1;
		return max(Get(l , r , lc , nl , mid) , Get(l , r , rc , mid , nr));
	}
} seg;
 
long long Solve()
{
	long long tmpx = 1 , mx_x = 1 , mx_y = 1;
	//cout << "WPW " << endl;
	for(auto asd : st)
	{
		auto u = abs(asd);
		long long Y = seg.Get(u , n);
		if(Y > 1LL * mx_x * mx_y)
		{
			mx_y = Y;
			mx_x = x[u];
		}
		else
		{
			mx_x *= x[u];
		}
		tmpx *= x[u];
		if(mx_x * mx_y > mod)
			break;
	}
	//cout << " WER WE R" << endl;
	long long res = mx_x * mx_y % mod;
	if(seg.Get(0 , n) > mx_x * mx_y)
		res = seg.Get(0 , n);
	return 1LL * mulx * tav(tmpx % mod , mod - 2) % mod * res % mod;
}
 
int init(int nn, int X[], int Y[]) {
	mulx = 1;
	n = nn;
	for(long long i = 0 ; i < n ; i++)
	{
		x[i] = X[i];
		y[i] = Y[i];
		mulx = 1LL * mulx * x[i] % mod;
	}
	seg.Build();
	for(long long i = 0 ; i < n ; i++)  if(x[i] > 1)
		st.insert(-i);
	return Solve();
}
 
int updateX(int pos, int val) {	
	if(x[pos] > 1)
		st.erase(-pos);
	mulx = 1LL * mulx * tav(x[pos] , mod - 2) % mod;
	x[pos] = val;
	if(x[pos] > 1)
		st.insert(-pos);
	mulx = 1LL * mulx * x[pos] % mod;
	return Solve();
}
 
int updateY(int pos, int val) {
	y[pos] = val;
	seg.Update(pos);
	return Solve();
}

Compilation message

horses.cpp: In function 'int init(int, int*, int*)':
horses.cpp:102:14: warning: conversion from 'long long int' to 'int' may change value [-Wconversion]
  102 |  return Solve();
      |         ~~~~~^~
horses.cpp: In function 'int updateX(int, int)':
horses.cpp:113:14: warning: conversion from 'long long int' to 'int' may change value [-Wconversion]
  113 |  return Solve();
      |         ~~~~~^~
horses.cpp: In function 'int updateY(int, int)':
horses.cpp:119:14: warning: conversion from 'long long int' to 'int' may change value [-Wconversion]
  119 |  return Solve();
      |         ~~~~~^~

Subtask #1
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 4444 KB Output is correct
2 Correct 1 ms 4444 KB Output is correct
3 Correct 1 ms 4444 KB Output is correct
4 Correct 0 ms 4444 KB Output is correct
5 Correct 0 ms 4444 KB Output is correct
6 Correct 0 ms 4444 KB Output is correct
7 Correct 0 ms 4444 KB Output is correct
8 Correct 0 ms 4444 KB Output is correct
9 Correct 1 ms 4444 KB Output is correct
10 Correct 1 ms 4444 KB Output is correct
11 Correct 0 ms 4444 KB Output is correct
12 Correct 1 ms 4444 KB Output is correct
13 Correct 1 ms 4444 KB Output is correct
14 Correct 1 ms 4444 KB Output is correct
15 Correct 1 ms 4444 KB Output is correct
16 Correct 1 ms 4444 KB Output is correct
17 Correct 0 ms 4444 KB Output is correct
18 Correct 1 ms 4444 KB Output is correct
19 Correct 1 ms 4444 KB Output is correct
20 Correct 0 ms 4444 KB Output is correct

Subtask #2
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 4440 KB Output is correct
2 Correct 1 ms 4532 KB Output is correct
3 Correct 0 ms 4532 KB Output is correct
4 Correct 0 ms 4444 KB Output is correct
5 Correct 0 ms 4444 KB Output is correct
6 Correct 1 ms 4440 KB Output is correct
7 Correct 1 ms 4444 KB Output is correct
8 Correct 1 ms 4444 KB Output is correct
9 Correct 1 ms 4444 KB Output is correct
10 Correct 1 ms 4440 KB Output is correct
11 Correct 1 ms 4444 KB Output is correct
12 Correct 1 ms 4524 KB Output is correct
13 Correct 1 ms 4444 KB Output is correct
14 Correct 1 ms 4444 KB Output is correct
15 Correct 1 ms 4440 KB Output is correct
16 Correct 0 ms 4444 KB Output is correct
17 Correct 0 ms 4444 KB Output is correct
18 Correct 1 ms 4444 KB Output is correct
19 Correct 1 ms 4440 KB Output is correct
20 Correct 0 ms 4444 KB Output is correct
21 Correct 0 ms 4444 KB Output is correct
22 Correct 0 ms 4444 KB Output is correct
23 Correct 1 ms 4444 KB Output is correct
24 Correct 1 ms 4444 KB Output is correct
25 Correct 1 ms 4444 KB Output is correct
26 Correct 1 ms 4444 KB Output is correct
27 Correct 3 ms 4444 KB Output is correct
28 Correct 1 ms 4444 KB Output is correct
29 Correct 1 ms 4444 KB Output is correct
30 Correct 1 ms 4444 KB Output is correct
31 Correct 1 ms 4444 KB Output is correct
32 Correct 1 ms 4444 KB Output is correct

Subtask #3
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 263 ms 45812 KB Output is correct
2 Correct 216 ms 45772 KB Output is correct
3 Correct 199 ms 45904 KB Output is correct
4 Correct 209 ms 45780 KB Output is correct

Subtask #4
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 4440 KB Output is correct
2 Correct 1 ms 4444 KB Output is correct
3 Correct 1 ms 4440 KB Output is correct
4 Correct 1 ms 4444 KB Output is correct
5 Correct 0 ms 4444 KB Output is correct
6 Correct 1 ms 4444 KB Output is correct
7 Correct 1 ms 4440 KB Output is correct
8 Correct 0 ms 4444 KB Output is correct
9 Correct 1 ms 4444 KB Output is correct
10 Correct 0 ms 4444 KB Output is correct
11 Correct 1 ms 4444 KB Output is correct
12 Correct 1 ms 4444 KB Output is correct
13 Correct 1 ms 4444 KB Output is correct
14 Correct 0 ms 4444 KB Output is correct
15 Correct 1 ms 4444 KB Output is correct
16 Correct 0 ms 4444 KB Output is correct
17 Correct 0 ms 4444 KB Output is correct
18 Correct 1 ms 4444 KB Output is correct
19 Correct 0 ms 4444 KB Output is correct
20 Correct 1 ms 4444 KB Output is correct
21 Correct 1 ms 4444 KB Output is correct
22 Correct 1 ms 4440 KB Output is correct
23 Correct 1 ms 4444 KB Output is correct
24 Correct 1 ms 4444 KB Output is correct
25 Correct 2 ms 4444 KB Output is correct
26 Correct 1 ms 4444 KB Output is correct
27 Correct 2 ms 4444 KB Output is correct
28 Correct 1 ms 4444 KB Output is correct
29 Correct 1 ms 4444 KB Output is correct
30 Correct 1 ms 4444 KB Output is correct
31 Correct 1 ms 4444 KB Output is correct
32 Correct 2 ms 4444 KB Output is correct
33 Correct 25 ms 21528 KB Output is correct
34 Correct 25 ms 21588 KB Output is correct
35 Correct 137 ms 44848 KB Output is correct
36 Correct 136 ms 44884 KB Output is correct
37 Correct 31 ms 21588 KB Output is correct
38 Correct 65 ms 33392 KB Output is correct
39 Correct 17 ms 21336 KB Output is correct
40 Correct 139 ms 48208 KB Output is correct
41 Correct 26 ms 22868 KB Output is correct
42 Correct 31 ms 22608 KB Output is correct
43 Correct 120 ms 48184 KB Output is correct
44 Correct 117 ms 48092 KB Output is correct

Subtask #5
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 4444 KB Output is correct
2 Correct 0 ms 4444 KB Output is correct
3 Correct 1 ms 4444 KB Output is correct
4 Correct 1 ms 4444 KB Output is correct
5 Correct 1 ms 4444 KB Output is correct
6 Correct 0 ms 4444 KB Output is correct
7 Correct 0 ms 4444 KB Output is correct
8 Correct 0 ms 4444 KB Output is correct
9 Correct 1 ms 4440 KB Output is correct
10 Correct 1 ms 4444 KB Output is correct
11 Correct 0 ms 4444 KB Output is correct
12 Correct 1 ms 4444 KB Output is correct
13 Correct 1 ms 4444 KB Output is correct
14 Correct 1 ms 4444 KB Output is correct
15 Correct 1 ms 4444 KB Output is correct
16 Correct 1 ms 4444 KB Output is correct
17 Correct 0 ms 4444 KB Output is correct
18 Correct 0 ms 4444 KB Output is correct
19 Correct 1 ms 4444 KB Output is correct
20 Correct 0 ms 4444 KB Output is correct
21 Correct 1 ms 4444 KB Output is correct
22 Correct 0 ms 4444 KB Output is correct
23 Correct 1 ms 4444 KB Output is correct
24 Correct 1 ms 4444 KB Output is correct
25 Correct 1 ms 4444 KB Output is correct
26 Correct 1 ms 4444 KB Output is correct
27 Correct 2 ms 4444 KB Output is correct
28 Correct 1 ms 4440 KB Output is correct
29 Correct 1 ms 4444 KB Output is correct
30 Correct 1 ms 4444 KB Output is correct
31 Correct 1 ms 4444 KB Output is correct
32 Correct 1 ms 4444 KB Output is correct
33 Correct 260 ms 45800 KB Output is correct
34 Correct 213 ms 45904 KB Output is correct
35 Correct 197 ms 45856 KB Output is correct
36 Correct 244 ms 45904 KB Output is correct
37 Correct 29 ms 21596 KB Output is correct
38 Correct 25 ms 21596 KB Output is correct
39 Correct 136 ms 44888 KB Output is correct
40 Correct 132 ms 44884 KB Output is correct
41 Correct 31 ms 21596 KB Output is correct
42 Correct 65 ms 33312 KB Output is correct
43 Correct 18 ms 21340 KB Output is correct
44 Correct 121 ms 48296 KB Output is correct
45 Correct 26 ms 22804 KB Output is correct
46 Correct 32 ms 22800 KB Output is correct
47 Correct 120 ms 48208 KB Output is correct
48 Correct 117 ms 48216 KB Output is correct
49 Correct 92 ms 26192 KB Output is correct
50 Correct 71 ms 26188 KB Output is correct
51 Correct 232 ms 52028 KB Output is correct
52 Correct 176 ms 51928 KB Output is correct
53 Correct 196 ms 25548 KB Output is correct
54 Correct 132 ms 38628 KB Output is correct
55 Correct 62 ms 23372 KB Output is correct
56 Correct 172 ms 49496 KB Output is correct
57 Correct 148 ms 23888 KB Output is correct
58 Correct 189 ms 24248 KB Output is correct
59 Correct 117 ms 48232 KB Output is correct