oj.uz

Submission #956014

# Submission time Handle Problem Language Result Execution time Memory
956014 2024-03-31T19:36:14 Z emad234 Horses (IOI15_horses) C++17
100 / 100
 1427 ms 61696 KB 
#include "horses.h"
#include <bits/stdc++.h>
#define ll long long
#define F first
#define S second
#define pii pair<ll, ll>
const ll mod = 1e9 + 7;
const ll mxN = 5e5 + 5;
using namespace std;
ll NN;
struct tree
{
	vector<pii> seg;
	ll s, e;
	void init(ll n)
	{
		NN = exp2(ceil(log2(n)));
		seg.resize(NN * 4);
	}
	ll queryMax(ll l = 1, ll r = NN, ll ind = 1)
	{
		if (l > e || r < s)
			return 0;
		if (l >= s && r <= e)
			return seg[ind].F;
		ll md = (l + r) / 2;
		return max(queryMax(l, md, ind * 2), queryMax(md + 1, r, ind * 2 + 1));
	}
	ll queryProd(ll l = 1, ll r = NN, ll ind = 1)
	{
		if (l > e || r < s)
			return 1;
		if (l >= s && r <= e)
			return seg[ind].S;
		ll md = (l + r) / 2;
		return (queryProd(l, md, ind * 2) * queryProd(md + 1, r, ind * 2 + 1)) % mod;
	}
	void update(pii val, ll ind)
	{
		ind += NN;
		seg[ind] = val;
		while (ind /= 2)
		{
			seg[ind].F = max(seg[ind * 2].F, seg[ind * 2 + 1].F);
			seg[ind].S = (seg[ind * 2].S * seg[ind * 2 + 1].S) % mod;
		}
	}
} seg;
struct ones
{
	int l,r;
	friend bool operator<(ones a, ones b) {return a.l < b.l;}
};

set<ones> s;
ll x[mxN], y[mxN];
ll n;
ll solve()
{
	ll st, id = 0;
	int i = n - 1;
	while (i > 0 && id <= 100)
	{
		if (x[i] == 1)
		{
			auto it = s.upper_bound({i, INT_MAX});
			it--;
			i = (*it).l;
			id--;
		}
		i--;
		id++;
	}
	if (i == -1)
		i = 0;
	ll mx = -1, mxid = -1;
	ll prd = 1;
	for (i; i < n; i++)
	{
		if (x[i] == 1)
		{
			auto it = s.upper_bound({i, INT_MAX});
			it--;
			seg.s = i + 1, seg.e = (*it).r + 1;
			ll val = seg.queryMax();
			if (val * prd > mx)
			{
				mx = val;
				mxid = i;
				prd = 1;
			}
			i = (*it).r;
			continue;
		}
		if (prd * x[i] > mx)
		{
			mx = y[i];
			mxid = i;
			prd = 1;
			continue;
		}
		prd *= x[i];
		if (prd * y[i] > mx)
		{
			mx = y[i];
			mxid = i;
			prd = 1;
			continue;
		}
	}
	seg.s = 1;
	seg.e = mxid + 1;
	return (mx * seg.queryProd()) % mod;
}
int init(int N, int X[], int Y[])
{
	seg.init(N);
	n = N;
	for (int i = 0; i < N; i++)
	{
		y[i] = Y[i];
		x[i] = X[i];
		seg.update({Y[i], X[i]}, i);
	}
	int l = -1, r = -1;
	for (int i = 0; i < N; i++)
	{
		// s.insert({i, i});
		if (X[i] == 1)
		{
			if (l == -1)
				l = i;
			r = i;
		}
		else
		{
			if (l != -1)
			{
				s.insert({l, r});
				l = -1;r = -1;
			}
		}
	}
	if (l != -1)
	{
		s.insert({l, r});
		l = -1; r = -1;
	}
	// for (auto el : s)
	// {
	// 	fprintf(_outputFile, "%d ", el.l);
	// 	fprintf(_outputFile, "%d\n", el.r);
	// }
	return solve();
}

int updateX(int pos, int val)
{
	if (x[pos] != 1 && val == 1)
	{
		auto it = s.upper_bound({pos, pos});
		int l = pos, r = pos;
		if (it != s.end() && (*it).l == pos + 1)
		{
			l = pos, r = (*it).r;
			s.erase(it);
		}
		s.insert({l, r});
		it = s.lower_bound({l, r});
		auto p = s.lower_bound({l, r});
		if (it != s.begin())
		{
			it--;
			if ((*it).r == l - 1)
			{
				l = (*it).l;
				s.erase(it);
				s.erase(s.lower_bound({pos, pos}));
				s.insert({l, r});
			}
		}
	}
	if (x[pos] == 1 && val != 1)
	{
		auto it = s.upper_bound({pos, 0});
		it--;
		ll l = (*it).l, r = pos - 1, l1 = pos + 1, r1 = (*it).r;
		s.erase(it);
		if (l <= r)
			s.insert({l, r});
		if (l1 <= r1)
			s.insert({l1, r1});
	}
	x[pos] = val;
	seg.update({y[pos], x[pos]}, pos);
	return solve();
}

int updateY(int pos, int val)
{
	y[pos] = val;
	seg.update({y[pos], x[pos]}, pos);
	return solve();
}

Compilation message

horses.cpp: In member function 'void tree::init(long long int)':
horses.cpp:17:12: warning: conversion from 'double' to 'long long int' may change value [-Wfloat-conversion]
   17 |   NN = exp2(ceil(log2(n)));
      |        ~~~~^~~~~~~~~~~~~~~
horses.cpp: In function 'long long int solve()':
horses.cpp:61:12: warning: conversion from 'long long int' to 'int' may change value [-Wconversion]
   61 |  int i = n - 1;
      |          ~~^~~
horses.cpp:78:7: warning: statement has no effect [-Wunused-value]
   78 |  for (i; i < n; i++)
      |       ^
horses.cpp:60:5: warning: unused variable 'st' [-Wunused-variable]
   60 |  ll st, id = 0;
      |     ^~
horses.cpp: In function 'int init(int, int*, int*)':
horses.cpp:154:14: warning: conversion from 'long long int' to 'int' may change value [-Wconversion]
  154 |  return solve();
      |         ~~~~~^~
horses.cpp: In function 'int updateX(int, int)':
horses.cpp:170:8: warning: variable 'p' set but not used [-Wunused-but-set-variable]
  170 |   auto p = s.lower_bound({l, r});
      |        ^
horses.cpp:190:14: warning: narrowing conversion of 'l' from 'long long int' to 'int' [-Wnarrowing]
  190 |    s.insert({l, r});
      |              ^
horses.cpp:190:14: warning: conversion from 'long long int' to 'int' may change value [-Wconversion]
horses.cpp:190:17: warning: narrowing conversion of 'r' from 'long long int' to 'int' [-Wnarrowing]
  190 |    s.insert({l, r});
      |                 ^
horses.cpp:190:17: warning: conversion from 'long long int' to 'int' may change value [-Wconversion]
horses.cpp:192:14: warning: narrowing conversion of 'l1' from 'long long int' to 'int' [-Wnarrowing]
  192 |    s.insert({l1, r1});
      |              ^~
horses.cpp:192:14: warning: conversion from 'long long int' to 'int' may change value [-Wconversion]
horses.cpp:192:18: warning: narrowing conversion of 'r1' from 'long long int' to 'int' [-Wnarrowing]
  192 |    s.insert({l1, r1});
      |                  ^~
horses.cpp:192:18: warning: conversion from 'long long int' to 'int' may change value [-Wconversion]
horses.cpp:196:14: warning: conversion from 'long long int' to 'int' may change value [-Wconversion]
  196 |  return solve();
      |         ~~~~~^~
horses.cpp: In function 'int updateY(int, int)':
horses.cpp:203:14: warning: conversion from 'long long int' to 'int' may change value [-Wconversion]
  203 |  return solve();
      |         ~~~~~^~

Subtask #1
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2396 KB Output is correct
2 Correct 1 ms 2396 KB Output is correct
3 Correct 2 ms 2396 KB Output is correct
4 Correct 1 ms 2392 KB Output is correct
5 Correct 1 ms 2396 KB Output is correct
6 Correct 0 ms 2396 KB Output is correct
7 Correct 1 ms 2392 KB Output is correct
8 Correct 1 ms 2648 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 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 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 2392 KB Output is correct
19 Correct 1 ms 2392 KB Output is correct
20 Correct 1 ms 2396 KB Output is correct

Subtask #2
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 2392 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 0 ms 2396 KB Output is correct
8 Correct 1 ms 2396 KB Output is correct
9 Correct 0 ms 2396 KB Output is correct
10 Correct 1 ms 2392 KB Output is correct
11 Correct 1 ms 2392 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 2396 KB Output is correct
15 Correct 1 ms 2396 KB Output is correct
16 Correct 1 ms 2392 KB Output is correct
17 Correct 1 ms 2392 KB Output is correct
18 Correct 1 ms 2396 KB Output is correct
19 Correct 1 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 1 ms 2396 KB Output is correct
23 Correct 7 ms 2396 KB Output is correct
24 Correct 3 ms 2396 KB Output is correct
25 Correct 1 ms 2396 KB Output is correct
26 Correct 1 ms 2396 KB Output is correct
27 Correct 6 ms 2396 KB Output is correct
28 Correct 5 ms 2396 KB Output is correct
29 Correct 1 ms 2396 KB Output is correct
30 Correct 2 ms 2396 KB Output is correct
31 Correct 1 ms 2396 KB Output is correct
32 Correct 3 ms 2396 KB Output is correct

Subtask #3
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 128 ms 45808 KB Output is correct
2 Correct 166 ms 45908 KB Output is correct
3 Correct 132 ms 45908 KB Output is correct
4 Correct 150 ms 45904 KB Output is correct

Subtask #4
23.0 / 23.0

# 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 1 ms 2396 KB Output is correct
4 Correct 1 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 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 0 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 2396 KB Output is correct
15 Correct 0 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 2392 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 0 ms 2396 KB Output is correct
23 Correct 7 ms 2396 KB Output is correct
24 Correct 3 ms 2396 KB Output is correct
25 Correct 2 ms 2396 KB Output is correct
26 Correct 1 ms 2472 KB Output is correct
27 Correct 6 ms 2392 KB Output is correct
28 Correct 6 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 1 ms 2396 KB Output is correct
32 Correct 3 ms 2396 KB Output is correct
33 Correct 232 ms 45140 KB Output is correct
34 Correct 84 ms 48976 KB Output is correct
35 Correct 108 ms 55892 KB Output is correct
36 Correct 103 ms 55888 KB Output is correct
37 Correct 213 ms 47180 KB Output is correct
38 Correct 242 ms 60084 KB Output is correct
39 Correct 73 ms 46932 KB Output is correct
40 Correct 88 ms 50772 KB Output is correct
41 Correct 69 ms 47084 KB Output is correct
42 Correct 98 ms 47184 KB Output is correct
43 Correct 82 ms 51284 KB Output is correct
44 Correct 82 ms 51284 KB Output is correct

Subtask #5
23.0 / 23.0

# 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 0 ms 2396 KB Output is correct
4 Correct 0 ms 2396 KB Output is correct
5 Correct 1 ms 2480 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 1 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 0 ms 2396 KB Output is correct
17 Correct 1 ms 2392 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 7 ms 2396 KB Output is correct
24 Correct 3 ms 2396 KB Output is correct
25 Correct 1 ms 2396 KB Output is correct
26 Correct 1 ms 2396 KB Output is correct
27 Correct 6 ms 2392 KB Output is correct
28 Correct 5 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 1 ms 2396 KB Output is correct
32 Correct 3 ms 2396 KB Output is correct
33 Correct 123 ms 45816 KB Output is correct
34 Correct 173 ms 47440 KB Output is correct
35 Correct 132 ms 49744 KB Output is correct
36 Correct 153 ms 53600 KB Output is correct
37 Correct 239 ms 49592 KB Output is correct
38 Correct 84 ms 48960 KB Output is correct
39 Correct 104 ms 55892 KB Output is correct
40 Correct 102 ms 55680 KB Output is correct
41 Correct 222 ms 47568 KB Output is correct
42 Correct 235 ms 59728 KB Output is correct
43 Correct 73 ms 46836 KB Output is correct
44 Correct 87 ms 51028 KB Output is correct
45 Correct 71 ms 47096 KB Output is correct
46 Correct 99 ms 47184 KB Output is correct
47 Correct 83 ms 51292 KB Output is correct
48 Correct 85 ms 51284 KB Output is correct
49 Correct 1427 ms 52356 KB Output is correct
50 Correct 221 ms 52048 KB Output is correct
51 Correct 185 ms 57684 KB Output is correct
52 Correct 155 ms 57320 KB Output is correct
53 Correct 1372 ms 50332 KB Output is correct
54 Correct 1361 ms 61696 KB Output is correct
55 Correct 148 ms 48220 KB Output is correct
56 Correct 153 ms 52756 KB Output is correct
57 Correct 113 ms 48668 KB Output is correct
58 Correct 361 ms 49116 KB Output is correct
59 Correct 81 ms 51264 KB Output is correct