oj.uz

Submission #999667

# Submission time Handle Problem Language Result Execution time Memory
999667 2024-06-16T03:44:34 Z Alfraganus Horses (IOI15_horses) C++17
100 / 100
 358 ms 60668 KB 
#include "horses.h"
#include <bits/stdc++.h>
using namespace std;

const long long mod = 1e9 + 7;
vector<long long> x, y;

struct SegTree {

	int size = 1;
	vector<long long> pr;
	vector<int> mx;

	void init(){
		while(size < (int)x.size())
			size <<= 1;
		pr.resize(size << 1, 1);
		mx.resize(size << 1, 0);
		build(0, 0, size);
	}

	void build(int ind, int lx, int rx){
		if(lx + 1 == rx){
			if(lx < x.size())
				pr[ind] = x[lx], mx[ind] = y[lx];
			return;
		}
		int mid = (lx + rx) >> 1;
		build((ind << 1) + 1, lx, mid);
		build((ind << 1) + 2, mid, rx);
		pr[ind] = (pr[(ind << 1) + 1] * pr[(ind << 1) + 2]) % mod;
		mx[ind] = max(mx[(ind << 1) + 1], mx[(ind << 1) + 2]);
	}

	void change(int pos, int val, int x, int lx, int rx){
		if(lx + 1 == rx){
			pr[x] = val;
			return;
		}
		int mid = (lx + rx) >> 1;
		if(pos < mid)
			change(pos, val, (x << 1) + 1, lx, mid);
		else
			change(pos, val, (x << 1) + 2, mid, rx);
		pr[x] = (pr[(x << 1) + 1] * pr[(x << 1) + 2]) % mod;
	}

	void change(int pos, int val){
		change(pos, val, 0, 0, size);
	}

	void set(int pos, int val, int x, int lx, int rx){
		if(lx + 1 == rx){
			mx[x] = val;
			return;
		}
		int mid = (lx + rx) >> 1;
		if(pos < mid)
			set(pos, val, (x << 1) + 1, lx, mid);
		else
			set(pos, val, (x << 1) + 2, mid, rx);
		mx[x] = max(mx[(x << 1) + 1], mx[(x << 1) + 2]);
	}

	void set(int pos, int val){
		set(pos, val, 0, 0, size);
	}

	long long get(int l, int r, int ind, int lx, int rx){
		if(l <= lx and rx <= r)
			return pr[ind];
		if(r <= lx or rx <= l)
			return 1;
		int mid = (lx + rx) >> 1;
		return (get(l, r, (ind << 1) + 1, lx, mid) * get(l, r, (ind << 1) + 2, mid, rx)) % mod;
	}

	long long get(int l, int r){
		return get(l, r, 0, 0, size);
	}

	int res(int l, int r, int x, int lx, int rx){
		if(l <= lx and rx <= r)
			return mx[x];
		if(r <= lx or rx <= l)
			return 0;
		int mid = (lx + rx) >> 1;
		return max(res(l, r, (x << 1) + 1, lx, mid), res(l, r, (x << 1) + 2, mid, rx));
	}

	int res(int l, int r){
		return res(l, r, 0, 0, size);
	}
};

SegTree s;
set<int> st;

int init(int n, int X[], int Y[]) {
	x.resize(n);
	y.resize(n);
	for(int i = 0; i < n; i ++)
		x[i] = X[i], y[i] = Y[i];
	st.insert(-1);
	for(int i = 0; i < n; i ++)
		if(x[i] != 1)
			st.insert(i);
	s.init();
	auto cur = --st.end(), prev = cur;
	long long y1 = s.res(max(0, *cur), n), p = 1, ans = (s.res(max(0, *cur), n) * s.get(0, *cur + 1)) % mod;
	while(1){
		if(prev == st.begin())
			return ans;
		prev --;
		p = p * x[*cur];
		if(p > (int)1e9 or y1 * p > (int)1e9)
			return ans;
		if(s.res(max(0, *prev), *cur + 1) > y1 * p){
			y1 = s.res(max(0, *prev), *cur + 1);
			p = 1;
			ans = (y1 * s.get(0, *prev + 1)) % mod;
		}
		cur --;
	}
	return ans;
}

int updateX(int pos, int val) {
	if(x[pos] != 1)
		st.erase(pos);
	x[pos] = val;
	if(x[pos] != 1)
		st.insert(pos);
	s.change(pos, val);
	int n = (int)x.size();
	auto cur = --st.end(), prev = cur;
	long long y1 = s.res(max(0, *cur), n), p = 1, ans = (s.res(max(0, *cur), n) * s.get(0, *cur + 1)) % mod;
	while(1){
		if(prev == st.begin())
			return ans;
		prev --;
		p = p * x[*cur];
		if(p > (int)1e9 or y1 * p > (int)1e9)
			return ans;
		if(s.res(max(0, *prev), *cur + 1) > y1 * p){
			y1 = s.res(max(0, *prev), *cur + 1);
			p = 1;
			ans = (y1 * s.get(0, *prev + 1)) % mod;
		}
		cur --;
	}
	return ans;
}

int updateY(int pos, int val) {
	y[pos] = val;
	s.set(pos, val);
	int n = (int)x.size();
	auto cur = --st.end(), prev = cur;
	long long y1 = s.res(max(0, *cur), n), p = 1, ans = (s.res(max(0, *cur), n) * s.get(0, *cur + 1)) % mod;
	while(1){
		if(prev == st.begin())
			return ans;
		prev --;
		p = p * x[*cur];
		if(p > (int)1e9 or y1 * p > (int)1e9)
			return ans;
		if(s.res(max(0, *prev), *cur + 1) > y1 * p){
			y1 = s.res(max(0, *prev), *cur + 1);
			p = 1;
			ans = (y1 * s.get(0, *prev + 1)) % mod;
		}
		cur --;
	}
	return ans;
}

Compilation message

horses.cpp: In member function 'void SegTree::build(int, int, int)':
horses.cpp:24:10: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   24 |    if(lx < x.size())
      |       ~~~^~~~~~~~~~
horses.cpp:25:36: warning: conversion from '__gnu_cxx::__alloc_traits<std::allocator<long long int>, long long int>::value_type' {aka 'long long int'} to '__gnu_cxx::__alloc_traits<std::allocator<int>, int>::value_type' {aka 'int'} may change value [-Wconversion]
   25 |     pr[ind] = x[lx], mx[ind] = y[lx];
      |                                    ^
horses.cpp: In member function 'void SegTree::change(int, int, int, int, int)':
horses.cpp:35:36: warning: declaration of 'x' shadows a global declaration [-Wshadow]
   35 |  void change(int pos, int val, int x, int lx, int rx){
      |                                ~~~~^
horses.cpp:6:19: note: shadowed declaration is here
    6 | vector<long long> x, y;
      |                   ^
horses.cpp: In member function 'void SegTree::set(int, int, int, int, int)':
horses.cpp:52:33: warning: declaration of 'x' shadows a global declaration [-Wshadow]
   52 |  void set(int pos, int val, int x, int lx, int rx){
      |                             ~~~~^
horses.cpp:6:19: note: shadowed declaration is here
    6 | vector<long long> x, y;
      |                   ^
horses.cpp: In member function 'int SegTree::res(int, int, int, int, int)':
horses.cpp:82:28: warning: declaration of 'x' shadows a global declaration [-Wshadow]
   82 |  int res(int l, int r, int x, int lx, int rx){
      |                        ~~~~^
horses.cpp:6:19: note: shadowed declaration is here
    6 | vector<long long> x, y;
      |                   ^
horses.cpp: In function 'int init(int, int*, int*)':
horses.cpp:113:11: warning: conversion from 'long long int' to 'int' may change value [-Wconversion]
  113 |    return ans;
      |           ^~~
horses.cpp:117:11: warning: conversion from 'long long int' to 'int' may change value [-Wconversion]
  117 |    return ans;
      |           ^~~
horses.cpp:125:9: warning: conversion from 'long long int' to 'int' may change value [-Wconversion]
  125 |  return ans;
      |         ^~~
horses.cpp: In function 'int updateX(int, int)':
horses.cpp:140:11: warning: conversion from 'long long int' to 'int' may change value [-Wconversion]
  140 |    return ans;
      |           ^~~
horses.cpp:144:11: warning: conversion from 'long long int' to 'int' may change value [-Wconversion]
  144 |    return ans;
      |           ^~~
horses.cpp:152:9: warning: conversion from 'long long int' to 'int' may change value [-Wconversion]
  152 |  return ans;
      |         ^~~
horses.cpp: In function 'int updateY(int, int)':
horses.cpp:163:11: warning: conversion from 'long long int' to 'int' may change value [-Wconversion]
  163 |    return ans;
      |           ^~~
horses.cpp:167:11: warning: conversion from 'long long int' to 'int' may change value [-Wconversion]
  167 |    return ans;
      |           ^~~
horses.cpp:175:9: warning: conversion from 'long long int' to 'int' may change value [-Wconversion]
  175 |  return ans;
      |         ^~~

Subtask #1
17.0 / 17.0

# 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 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 344 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 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

Subtask #2
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 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 1 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 344 KB Output is correct
13 Correct 1 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 0 ms 348 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 2 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 2 ms 344 KB Output is correct

Subtask #3
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 358 ms 48800 KB Output is correct
2 Correct 244 ms 48724 KB Output is correct
3 Correct 240 ms 48860 KB Output is correct
4 Correct 252 ms 48728 KB Output is correct

Subtask #4
23.0 / 23.0

# 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 344 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 412 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 0 ms 348 KB Output is correct
13 Correct 1 ms 348 KB Output is correct
14 Correct 0 ms 600 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 344 KB Output is correct
22 Correct 1 ms 348 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 2 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 2 ms 348 KB Output is correct
33 Correct 31 ms 24668 KB Output is correct
34 Correct 34 ms 24660 KB Output is correct
35 Correct 157 ms 47952 KB Output is correct
36 Correct 139 ms 47956 KB Output is correct
37 Correct 50 ms 24660 KB Output is correct
38 Correct 72 ms 36472 KB Output is correct
39 Correct 23 ms 24408 KB Output is correct
40 Correct 137 ms 48212 KB Output is correct
41 Correct 35 ms 26452 KB Output is correct
42 Correct 43 ms 26716 KB Output is correct
43 Correct 129 ms 54356 KB Output is correct
44 Correct 124 ms 54148 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 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 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 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 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 1 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 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 2 ms 344 KB Output is correct
28 Correct 1 ms 348 KB Output is correct
29 Correct 1 ms 344 KB Output is correct
30 Correct 1 ms 348 KB Output is correct
31 Correct 1 ms 348 KB Output is correct
32 Correct 2 ms 484 KB Output is correct
33 Correct 349 ms 48776 KB Output is correct
34 Correct 228 ms 48724 KB Output is correct
35 Correct 231 ms 48724 KB Output is correct
36 Correct 247 ms 48976 KB Output is correct
37 Correct 36 ms 24656 KB Output is correct
38 Correct 28 ms 24660 KB Output is correct
39 Correct 147 ms 47956 KB Output is correct
40 Correct 139 ms 47952 KB Output is correct
41 Correct 50 ms 24664 KB Output is correct
42 Correct 74 ms 36436 KB Output is correct
43 Correct 23 ms 24412 KB Output is correct
44 Correct 130 ms 47956 KB Output is correct
45 Correct 36 ms 26456 KB Output is correct
46 Correct 42 ms 26448 KB Output is correct
47 Correct 127 ms 54120 KB Output is correct
48 Correct 127 ms 54352 KB Output is correct
49 Correct 97 ms 31608 KB Output is correct
50 Correct 82 ms 31484 KB Output is correct
51 Correct 253 ms 60668 KB Output is correct
52 Correct 191 ms 60268 KB Output is correct
53 Correct 319 ms 29780 KB Output is correct
54 Correct 164 ms 43348 KB Output is correct
55 Correct 95 ms 27580 KB Output is correct
56 Correct 205 ms 55636 KB Output is correct
57 Correct 200 ms 28276 KB Output is correct
58 Correct 279 ms 28756 KB Output is correct
59 Correct 129 ms 54356 KB Output is correct