oj.uz

Submission #303774

# Submission time Handle Problem Language Result Execution time Memory
303774 2020-09-20T15:53:33 Z user202729 Packing Biscuits (IOI20_biscuits) C++17
100 / 100
 33 ms 896 KB 
// moreflags=grader.cpp
// ......

#include "biscuits.h"
#include<array>
#include<cstdint>
#include<vector>
#include<cmath>
#include<iostream>
#if not LOCAL
#define NDEBUG
#endif
#include<cassert>

struct Node{ // represents a non-strictly decreasing list of numbers
	int64_t count;
	int64_t first; // also the maximum
	int64_t delta;
	std::array<int, 2> children; // index in nodes vector, or {{-1, -1}} if count==1
};
std::vector<Node> nodes;

int deltaed(int node, int64_t delta){
	if(node<0 or delta==0) return node;
	nodes.push_back(nodes[node]);
	nodes.back().first+=delta;
	nodes.back().delta+=delta;
	return int(nodes.size()-1);
}

int append(int first, int sec, int64_t delta){
	assert(first>=0); // precondition

	if(sec==-1) return deltaed(first, delta);
	assert(sec>=0);
	nodes.push_back({
		nodes[first].count+nodes[sec].count,
			nodes[first].first+delta,
			delta,
			{{first, sec}}
	});
	return int(nodes.size()-1);
}

int prefixLargerEqual(int node, int64_t minimum){
	// return -1 if result is empty
	assert((nodes[node].count==1)==(nodes[node].children==std::array<int, 2>{{-1, -1}}));

	if(nodes[node].first<minimum) return -1;

	if(nodes[node].count==1){
		// single node
		assert(nodes[node].first==nodes[node].delta);
		return node;
	}

	auto const [a, b]=nodes[node].children;
	auto const t=minimum-nodes[node].delta;
	auto const b1=prefixLargerEqual(b, t);
	if(b1==b) return node;
	if(b1<0) return deltaed(prefixLargerEqual(a, t), nodes[node].delta);
	return append(a, b1, nodes[node].delta);
}

long long count_tastiness(long long x, std::vector<long long> a) {

	nodes.clear();
	nodes.push_back({1, a[0], a[0], {{-1, -1}}});

	int all=0; // node reference
	// initial list: {a[0]} (note that the first element will always be a[0])

	int64_t s=0;
	for(int i=0;; ++i){
		assert(nodes[all].first==a[0]);
		if(a[0]-x*std::round(std::pow(2., i))>=s){
			all=append(all, deltaed(prefixLargerEqual(all, s+(x<<i)), -(x<<i)), 0);
		}

		if(i+1<(int)a.size())
			s-=a[i+1]<<(i+1);

		if(i==(int)a.size()+62){
			return nodes[all].count;
		}
	}
}

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 256 KB Output is correct
2 Correct 1 ms 256 KB Output is correct
3 Correct 1 ms 256 KB Output is correct
4 Correct 1 ms 256 KB Output is correct
5 Correct 1 ms 256 KB Output is correct
6 Correct 1 ms 256 KB Output is correct
7 Correct 1 ms 256 KB Output is correct
8 Correct 1 ms 256 KB Output is correct
9 Correct 0 ms 256 KB Output is correct
10 Correct 1 ms 384 KB Output is correct
11 Correct 1 ms 256 KB Output is correct
12 Correct 1 ms 256 KB Output is correct
13 Correct 1 ms 256 KB Output is correct
14 Correct 1 ms 256 KB Output is correct

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 256 KB Output is correct
2 Correct 1 ms 256 KB Output is correct
3 Correct 1 ms 256 KB Output is correct
4 Correct 1 ms 384 KB Output is correct
5 Correct 1 ms 384 KB Output is correct
6 Correct 1 ms 384 KB Output is correct
7 Correct 1 ms 384 KB Output is correct
8 Correct 1 ms 384 KB Output is correct
9 Correct 1 ms 384 KB Output is correct

Subtask #3
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 384 KB Output is correct
2 Correct 1 ms 256 KB Output is correct
3 Correct 1 ms 256 KB Output is correct
4 Correct 1 ms 256 KB Output is correct
5 Correct 1 ms 384 KB Output is correct
6 Correct 1 ms 384 KB Output is correct
7 Correct 1 ms 256 KB Output is correct
8 Correct 1 ms 384 KB Output is correct
9 Correct 1 ms 256 KB Output is correct
10 Correct 1 ms 384 KB Output is correct
11 Correct 1 ms 384 KB Output is correct
12 Correct 1 ms 384 KB Output is correct
13 Correct 1 ms 384 KB Output is correct

Subtask #4
35.0 / 35.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 384 KB Output is correct
2 Correct 25 ms 896 KB Output is correct
3 Correct 23 ms 896 KB Output is correct
4 Correct 23 ms 888 KB Output is correct
5 Correct 24 ms 896 KB Output is correct
6 Correct 23 ms 896 KB Output is correct
7 Correct 23 ms 896 KB Output is correct
8 Correct 24 ms 896 KB Output is correct
9 Correct 22 ms 896 KB Output is correct
10 Correct 22 ms 896 KB Output is correct

Subtask #5
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 256 KB Output is correct
2 Correct 1 ms 256 KB Output is correct
3 Correct 1 ms 256 KB Output is correct
4 Correct 1 ms 256 KB Output is correct
5 Correct 1 ms 256 KB Output is correct
6 Correct 1 ms 256 KB Output is correct
7 Correct 1 ms 256 KB Output is correct
8 Correct 1 ms 256 KB Output is correct
9 Correct 0 ms 256 KB Output is correct
10 Correct 1 ms 384 KB Output is correct
11 Correct 1 ms 256 KB Output is correct
12 Correct 1 ms 256 KB Output is correct
13 Correct 1 ms 256 KB Output is correct
14 Correct 1 ms 256 KB Output is correct
15 Correct 0 ms 256 KB Output is correct
16 Correct 1 ms 256 KB Output is correct
17 Correct 1 ms 256 KB Output is correct
18 Correct 1 ms 384 KB Output is correct
19 Correct 1 ms 384 KB Output is correct
20 Correct 1 ms 384 KB Output is correct
21 Correct 1 ms 384 KB Output is correct
22 Correct 1 ms 384 KB Output is correct
23 Correct 1 ms 384 KB Output is correct
24 Correct 1 ms 384 KB Output is correct
25 Correct 1 ms 256 KB Output is correct
26 Correct 1 ms 256 KB Output is correct
27 Correct 1 ms 256 KB Output is correct
28 Correct 1 ms 384 KB Output is correct
29 Correct 1 ms 384 KB Output is correct
30 Correct 1 ms 256 KB Output is correct
31 Correct 1 ms 384 KB Output is correct
32 Correct 1 ms 256 KB Output is correct
33 Correct 1 ms 384 KB Output is correct
34 Correct 1 ms 384 KB Output is correct
35 Correct 1 ms 384 KB Output is correct
36 Correct 1 ms 384 KB Output is correct
37 Correct 8 ms 384 KB Output is correct
38 Correct 25 ms 896 KB Output is correct
39 Correct 23 ms 896 KB Output is correct
40 Correct 23 ms 888 KB Output is correct
41 Correct 24 ms 896 KB Output is correct
42 Correct 23 ms 896 KB Output is correct
43 Correct 23 ms 896 KB Output is correct
44 Correct 24 ms 896 KB Output is correct
45 Correct 22 ms 896 KB Output is correct
46 Correct 22 ms 896 KB Output is correct
47 Correct 10 ms 384 KB Output is correct
48 Correct 33 ms 896 KB Output is correct
49 Correct 14 ms 384 KB Output is correct
50 Correct 29 ms 768 KB Output is correct
51 Correct 24 ms 888 KB Output is correct
52 Correct 7 ms 384 KB Output is correct
53 Correct 20 ms 896 KB Output is correct
54 Correct 30 ms 896 KB Output is correct
55 Correct 30 ms 896 KB Output is correct
56 Correct 28 ms 896 KB Output is correct
57 Correct 28 ms 896 KB Output is correct