#include <bits/stdc++.h>
#include "mushrooms.h"
using namespace std;
/*static char fmt_buffer[100000];
#define FMT_TO_STR(fmt, result) va_list vargs; va_start(vargs, fmt); \
vsnprintf(fmt_buffer, sizeof(fmt_buffer), fmt, vargs); \
va_end(vargs); fmt_buffer[sizeof(fmt_buffer)-1] = 0; \
std::string result(fmt_buffer);
static const int min_n = 2;
static const int max_n = 20000;
static const int max_qc = 20000;
static const int max_qs = 100000;
static const int species_A = 0;
static const int species_B = 1;
static int n;
static std::vector<int> species;
static int qc, qs;
static inline void error_if(bool cond, std::string message) {
if (cond) {
printf("%s\n", message.c_str());
exit(0);
}
}
static inline void wrong_if(bool cond, std::string message) {
error_if(cond, "Wrong Answer: "+message);
}
int use_machine(std::vector<int> x) {
const int xs = x.size();
wrong_if(xs < 2, "Too small array for query.");
wrong_if(xs > n, "Too large array for query.");
qc++;
wrong_if(qc > max_qc, "Too many queries.");
qs += xs;
wrong_if(qs > max_qs, "Too many total array sizes as queries.");
for (int i = 0; i < xs; i++)
wrong_if(x[i] < 0 || n - 1 < x[i], "Invalid value in the query array.");
std::vector<bool> used(n, false);
for (int i = 0; i < xs; i++) {
wrong_if(used[x[i]], "Duplicate value in the query array.");
used[x[i]] = true;
}
int diffs = 0;
for (int i = 1; i < xs; i++)
diffs += int(species[x[i]] != species[x[i-1]]);
return diffs;
}
#ifdef __GNUC__
__attribute__ ((format(printf, 2, 3)))
#endif
static inline void check_input(bool cond, const char* message_fmt, ...) {
FMT_TO_STR(message_fmt, message);
error_if(!cond, "Invalid input: "+message);
}
int main() {
check_input(1 == scanf("%d", &n), "Could not read n.");
check_input(min_n <= n, "n must not be less than %d, but it is %d.", min_n, n);
check_input(n <= max_n, "n must not be greater than %d, but it is %d.", max_n, n);
species.resize(n);
for (int i = 0; i < n; i++) {
check_input(1 == scanf("%d", &species[i]), "Could not read species element [%d].", i);
check_input(species[i]==species_A || species[i] == species_B,
"Species elements must be %d or %d, but species element [%d] is %d.", species_A, species_B, i, species[i]);
}
check_input(species[0] == species_A, "Species element [%d] must be %d.", 0, species_A);
// Postponed closing standard input in order to allow interactive usage of the grader.
qc = 0;
qs = 0;
int answer = count_mushrooms(n);
printf("%d\n%d\n", answer, qc);
fclose(stdout);
fclose(stdin);
return 0;
}*/
int count_mushrooms(int n) {
if (n <= 226) {
int ttl = 1;
for (int c = 1; c < n; c++) {
vector<int> a(2);
a[0] = 0;
a[1] = c;
ttl += (1 - use_machine(a));
}
return ttl;
}
else {
vector<int> a, b;
a.push_back(0);
int curr = 1;
bool prev = 0;
while (max(a.size(), b.size()) < 200) {
if (prev == 0) {
vector<int> test(3);
test[0] = curr;
test[1] = curr + 1;
test[2] = 0;
int x = use_machine(test);
if (x == 2) {
a.push_back(curr);
b.push_back(curr + 1);
curr += 2;
}
else if (x == 0) {
a.push_back(curr);
a.push_back(curr + 1);
curr += 2;
}
else {
b.push_back(curr);
prev = 1;
curr++;
}
}
else {
vector<int> test(3);
test[0] = curr;
test[1] = curr + 1;
test[2] = 0;
int x = use_machine(test);
if (x == 2) {
a.push_back(curr - 1);
a.push_back(curr);
b.push_back(curr + 1);
curr += 2;
prev = 0;
}
else if (x == 0) {
a.push_back(curr - 1);
a.push_back(curr);
a.push_back(curr + 1);
curr += 2;
prev = 0;
}
else {
b.push_back(curr - 1);
b.push_back(curr);
prev = 1;
curr++;
}
}
}
int ttl = a.size();
if (a.size() > b.size()) {
for (int c = curr; c < n; c += a.size()) {
vector<int> tmp;
for (int r = c; r <= min(n - 1, c + (int)a.size() - 1); r++) {
tmp.push_back(a[r - c]);
tmp.push_back(r);
}
ttl += (min(n - 1, c + (int)a.size() - 1) - c + 1 - (use_machine(tmp) + 1) / 2);
}
}
else {
for (int c = curr; c < n; c += b.size()) {
vector<int> tmp;
for (int r = c; r <= min(n - 1, c + (int)b.size() - 1); r++) {
tmp.push_back(b[r - c]);
tmp.push_back(r);
}
ttl += (use_machine(tmp) + 1) / 2;
}
}
return ttl;
}
}
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