/*
* Solution with two mixed phases of dynamic size
* By "mixed" we mean that new types are also detected in the second phase.
* By "dynamic" we mean that #queries in the first phase is computed dynamically based on the current results.
*
* Author: Kian Mirjalali
*/
#include "mushrooms.h"
#include <cmath>
#include <algorithm>
#include <functional>
using namespace std;
#define allOf(c) ((c).begin()), ((c).end())
template<class C>
inline int largest_element_index(const vector<C>& v) {
return max_element(allOf(v), [](const C& c1, const C& c2) {return c1.size()<c2.size();}) - v.begin();
}
/**
* @returns ceil(a/b) for integers a, b
*/
template<class T>
inline T ceildiv(T a, T b) {
return (a+b-1)/b;
}
/**
* Finds minimum input of a function in range [begin, end).
* @param f a function : Integer -> Real
* @param begin
* @param end
* @returns Integer input which minimizes f
*/
inline int functionMinInput(function<double(int)> f, int begin, int end) {
int best = begin;
double fbest = f(best);
for (int i = begin+1; i < end; i++) {
const double fi = f(i);
if (fbest > fi) {
best = i;
fbest = fi;
}
}
return best;
}
typedef int Index;
typedef int SpeciesType;
const SpeciesType TYPE_0 = 0;
const SpeciesType TYPE_1 = 1;
typedef vector<Index> Indices;
class SpeciesTypes {
vector<Indices> typesIndices;
public:
inline SpeciesTypes(): typesIndices(2) {
}
inline void add(SpeciesType type, Index index) {
typesIndices[type].push_back(index);
}
inline const Indices& getIndices(SpeciesType type) const {
return typesIndices[type];
}
inline SpeciesType getLargestType() const {
return largest_element_index(typesIndices);
}
};
class SpeciesCounts {
vector<int> counts;
public:
inline SpeciesCounts(): counts({0, 0}) {
}
inline void add(SpeciesType type, int count=1, int otherCount=0) {
counts[type] += count;
counts[1-type] += otherCount;
}
inline int get(SpeciesType type) const {
return counts[type];
}
};
inline SpeciesType getType(Index i) {
return use_machine({0, i});
}
Index a, b;
SpeciesType ta;
inline vector<SpeciesType> getTypes(Index i, Index j) {
const int d = use_machine({a, i, b, j});
return {(d>>1)^ta, (d&1)^ta};
}
int count_mushrooms(int n) {
SpeciesTypes knownSpeciesTypes;
Index head = 0;
if (n >= 1) {
knownSpeciesTypes.add(TYPE_0, head);
head++;
if (n >= 2) {
const SpeciesType t1 = getType(head);
knownSpeciesTypes.add(t1, head);
head++;
if (n == 2 || t1 == TYPE_0) {
a = 0;
b = 1;
ta = TYPE_0;
} else {//n >= 3 && t1 == TYPE_1
const SpeciesType t2 = getType(head);
knownSpeciesTypes.add(t2, head);
head++;
if (t2 == TYPE_0) {
a = 0;
b = 2;
ta = TYPE_0;
} else {//t2 == TYPE_1
a = 1;
b = 2;
ta = TYPE_1;
}
}
}
}
const int maxk = int(2*sqrt(n));
while (head+2 <= n) {
const SpeciesType majType = knownSpeciesTypes.getLargestType();
const int majSize = knownSpeciesTypes.getIndices(majType).size();
const auto rem_queries_func = [n, head, majSize] (int k) -> double {
int l = 0;
for (int s = n-head-2*k; s > 0;) {
s -= max(majSize, k+ceildiv(head+l, 2));
l++;
}
return k + l;
};
const int k = functionMinInput(rem_queries_func, 0, maxk);
if (k == 0)
break;
const auto p = getTypes(head, head+1);
knownSpeciesTypes.add(p[0], head);
knownSpeciesTypes.add(p[1], head+1);
head += 2;
}
SpeciesCounts speciesCounts;
while (head < n) {
const SpeciesType majType = knownSpeciesTypes.getLargestType();
const Indices& majIndices = knownSpeciesTypes.getIndices(majType);
const int majSize = majIndices.size();
const int blockSize = min(majSize, n-head);
Indices v(2*blockSize);
for (int i = 0, j = 0; i < blockSize;) {
v[j++] = head++;
v[j++] = majIndices[i++];
}
const int differences = use_machine(v);
knownSpeciesTypes.add((differences&1)^majType, v[0]);
const int differents = (differences>>1);
const int same = blockSize-1-differents;
speciesCounts.add(majType, same, differents);
}
return knownSpeciesTypes.getIndices(TYPE_0).size()+speciesCounts.get(TYPE_0);
}
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
0 ms |
344 KB |
Output is correct |
| 2 |
Correct |
0 ms |
344 KB |
Output is correct |
| 3 |
Correct |
0 ms |
344 KB |
Output is correct |
| 4 |
Correct |
0 ms |
344 KB |
Output is correct |
| 5 |
Correct |
0 ms |
344 KB |
Output is correct |
| 6 |
Correct |
1 ms |
344 KB |
Output is correct |
| 7 |
Correct |
4 ms |
344 KB |
Output is correct |
| 8 |
Correct |
4 ms |
456 KB |
Output is correct |
| 9 |
Correct |
6 ms |
600 KB |
Output is correct |
| 10 |
Correct |
5 ms |
344 KB |
Output is correct |
| 11 |
Partially correct |
6 ms |
460 KB |
Output is partially correct |
| 12 |
Correct |
5 ms |
344 KB |
Output is correct |
| 13 |
Correct |
4 ms |
344 KB |
Output is correct |
| 14 |
Correct |
3 ms |
468 KB |
Output is correct |
| 15 |
Partially correct |
6 ms |
432 KB |
Output is partially correct |
| 16 |
Partially correct |
5 ms |
344 KB |
Output is partially correct |
| 17 |
Correct |
3 ms |
692 KB |
Output is correct |
| 18 |
Correct |
5 ms |
600 KB |
Output is correct |
| 19 |
Partially correct |
9 ms |
344 KB |
Output is partially correct |
| 20 |
Correct |
5 ms |
344 KB |
Output is correct |
| 21 |
Correct |
5 ms |
424 KB |
Output is correct |
| 22 |
Partially correct |
9 ms |
460 KB |
Output is partially correct |
| 23 |
Correct |
7 ms |
444 KB |
Output is correct |
| 24 |
Correct |
3 ms |
344 KB |
Output is correct |
| 25 |
Partially correct |
5 ms |
432 KB |
Output is partially correct |
| 26 |
Partially correct |
6 ms |
344 KB |
Output is partially correct |
| 27 |
Partially correct |
6 ms |
612 KB |
Output is partially correct |
| 28 |
Partially correct |
8 ms |
444 KB |
Output is partially correct |
| 29 |
Partially correct |
8 ms |
436 KB |
Output is partially correct |
| 30 |
Partially correct |
6 ms |
344 KB |
Output is partially correct |
| 31 |
Partially correct |
5 ms |
344 KB |
Output is partially correct |
| 32 |
Partially correct |
6 ms |
456 KB |
Output is partially correct |
| 33 |
Partially correct |
6 ms |
600 KB |
Output is partially correct |
| 34 |
Partially correct |
6 ms |
344 KB |
Output is partially correct |
| 35 |
Partially correct |
6 ms |
476 KB |
Output is partially correct |
| 36 |
Partially correct |
5 ms |
452 KB |
Output is partially correct |
| 37 |
Partially correct |
6 ms |
600 KB |
Output is partially correct |
| 38 |
Partially correct |
5 ms |
476 KB |
Output is partially correct |
| 39 |
Partially correct |
6 ms |
356 KB |
Output is partially correct |
| 40 |
Partially correct |
7 ms |
484 KB |
Output is partially correct |
| 41 |
Partially correct |
6 ms |
436 KB |
Output is partially correct |
| 42 |
Partially correct |
6 ms |
344 KB |
Output is partially correct |
| 43 |
Partially correct |
9 ms |
344 KB |
Output is partially correct |
| 44 |
Partially correct |
6 ms |
344 KB |
Output is partially correct |
| 45 |
Partially correct |
6 ms |
600 KB |
Output is partially correct |
| 46 |
Partially correct |
6 ms |
344 KB |
Output is partially correct |
| 47 |
Partially correct |
9 ms |
440 KB |
Output is partially correct |
| 48 |
Partially correct |
6 ms |
340 KB |
Output is partially correct |
| 49 |
Partially correct |
6 ms |
452 KB |
Output is partially correct |
| 50 |
Partially correct |
6 ms |
344 KB |
Output is partially correct |
| 51 |
Partially correct |
8 ms |
856 KB |
Output is partially correct |
| 52 |
Partially correct |
9 ms |
344 KB |
Output is partially correct |
| 53 |
Partially correct |
6 ms |
344 KB |
Output is partially correct |
| 54 |
Partially correct |
8 ms |
344 KB |
Output is partially correct |
| 55 |
Partially correct |
5 ms |
344 KB |
Output is partially correct |
| 56 |
Partially correct |
8 ms |
344 KB |
Output is partially correct |
| 57 |
Partially correct |
6 ms |
464 KB |
Output is partially correct |
| 58 |
Partially correct |
6 ms |
600 KB |
Output is partially correct |
| 59 |
Partially correct |
6 ms |
600 KB |
Output is partially correct |
| 60 |
Partially correct |
5 ms |
344 KB |
Output is partially correct |
| 61 |
Partially correct |
8 ms |
696 KB |
Output is partially correct |
| 62 |
Correct |
0 ms |
344 KB |
Output is correct |
| 63 |
Correct |
0 ms |
344 KB |
Output is correct |
| 64 |
Correct |
0 ms |
344 KB |
Output is correct |
| 65 |
Correct |
0 ms |
344 KB |
Output is correct |
| 66 |
Correct |
0 ms |
344 KB |
Output is correct |
| 67 |
Correct |
0 ms |
344 KB |
Output is correct |
| 68 |
Correct |
0 ms |
344 KB |
Output is correct |
| 69 |
Correct |
0 ms |
344 KB |
Output is correct |
| 70 |
Correct |
0 ms |
344 KB |
Output is correct |
| 71 |
Correct |
0 ms |
344 KB |
Output is correct |
| 72 |
Correct |
0 ms |
344 KB |
Output is correct |
| 73 |
Correct |
0 ms |
344 KB |
Output is correct |
| 74 |
Correct |
0 ms |
344 KB |
Output is correct |
| 75 |
Correct |
1 ms |
344 KB |
Output is correct |
| 76 |
Correct |
0 ms |
344 KB |
Output is correct |
| 77 |
Correct |
0 ms |
344 KB |
Output is correct |
| 78 |
Correct |
1 ms |
344 KB |
Output is correct |
| 79 |
Correct |
0 ms |
344 KB |
Output is correct |
| 80 |
Correct |
0 ms |
344 KB |
Output is correct |
| 81 |
Correct |
0 ms |
372 KB |
Output is correct |
| 82 |
Correct |
1 ms |
344 KB |
Output is correct |
| 83 |
Correct |
0 ms |
364 KB |
Output is correct |
| 84 |
Correct |
0 ms |
344 KB |
Output is correct |
| 85 |
Correct |
0 ms |
344 KB |
Output is correct |
| 86 |
Correct |
0 ms |
344 KB |
Output is correct |
| 87 |
Correct |
0 ms |
344 KB |
Output is correct |
| 88 |
Correct |
0 ms |
344 KB |
Output is correct |
| 89 |
Correct |
0 ms |
344 KB |
Output is correct |
| 90 |
Correct |
1 ms |
344 KB |
Output is correct |
| 91 |
Correct |
0 ms |
344 KB |
Output is correct |
