#include <iostream>
#include <sstream>
#include <iomanip>
#include <vector>
#include <string>
#include <map>
#include <unordered_map>
#include <set>
#include <algorithm>
#include <numeric>
#include <iterator>
#include <functional>
#include <complex>
#include <queue>
#include <stack>
#include <cmath>
#include <cassert>
#include <tuple>
using namespace std;
typedef long long LL;
typedef complex<double> CMP;
class PolylineAreas { public:
vector<long long> findAreas(string polyline)
{
string cmd;
{
const char* p = polyline.c_str();
while (*p)
parse_one(p, cmd);
}
#define enc(x,y) ((LL(x+1000000)<<32)|(y+1000000))
const int dx[] = { 1, 0, -1, 0 };
const int dy[] = { 0, 1, 0, -1 };
unordered_map<LL, int> edge;
{
int x = 0, y = 0, d = 0;
for (int ch : cmd) {
switch (ch) {
case 'F': {
LL p = enc(x, y);
x += dx[d];
y += dy[d];
LL c = enc(x, y);
edge[p] |= 1 << d;
edge[c] |= 1 << ((d + 2) % 4);
break;
}
case 'L': d = (d + 1) % 4; break;
case 'R': d = (d + 3) % 4; break;
}
}
}
vector<LL> ans;
{
for (auto pd : edge) {
const int s_x = int(pd.first >> 32) - 1000000;
const int s_y = int(pd.first & 0xffffffff) - 1000000;
int& ds = pd.second;
for (int d = 0; d < 4; ++d) if (ds&(1 << d)) {
// go clockwise from (x,y) -> d
LL area = 0;
int x = s_x, y = s_y;
do {
//cerr << "(" << x << "," << y << "): " << d << endl;
// move
int px = x, py = y;
x += dx[d];
y += dy[d];
edge[enc(px, py)] &= ~(1 << d);
// turn
int& dd = edge[enc(x, y)];
if (dd & (1 << ((d + 3) % 4)))
d = (d + 3) % 4;
else if (dd & (1 << d))
;
else if (dd & (1 << ((d + 1) % 4)))
d = (d + 1) % 4;
else if (dd & (1 << ((d + 2)%4)))
d = (d + 2) % 4;
else
break;
// calc area
area += LL(x - s_x)*(py - s_y) - LL(px-s_x)*(y-s_y);
//cerr << LL(x - s_x)*(py - s_y) - LL(px - s_x)*(y - s_y) << endl;
} while (x != s_x || y != s_y);
if(x==s_x && y==s_y && area > 0)
ans.push_back(area/2);
}
}
}
sort(ans.begin(), ans.end());
if (ans.size() > 200) {
vector<LL> a2(ans.begin(), ans.begin() + 100);
a2.insert(a2.end(), ans.end() - 100, ans.end());
return a2;
}
return ans;
}
void parse_one(const char*& p, string& buf) {
if ('0' <= *p && *p <= '9') {
int rep = (*p++ - '0');
while('0' <= *p && *p <= '9')
rep = rep*10 + (*p++ - '0');
string sub;
parse_one(p, sub);
while (rep-- > 0)
buf += sub;
}
else if (*p == '[') {
for (++p; *p != ']'; )
parse_one(p, buf);
++p;
}
else {
buf += *p++;
}
}
};
// BEGIN CUT HERE
#include <ctime>
double start_time; string timer()
{ ostringstream os; os << " (" << int((clock()-start_time)/CLOCKS_PER_SEC*1000) << " msec)"; return os.str(); }
template<typename T> ostream& operator<<(ostream& os, const vector<T>& v)
{ os << "{ ";
for(typename vector<T>::const_iterator it=v.begin(); it!=v.end(); ++it)
os << '\"' << *it << '\"' << (it+1==v.end() ? "" : ", "); os << " }"; return os; }
void verify_case(const vector<long long>& Expected, const vector<long long>& Received) {
bool ok = (Expected == Received);
if(ok) cerr << "PASSED" << timer() << endl; else { cerr << "FAILED" << timer() << endl;
cerr << "\to: " << Expected << endl << "\tx: " << Received << endl; } }
#define CASE(N) {cerr << "Test Case #" << N << "..." << flush; start_time=clock();
#define END verify_case(_, PolylineAreas().findAreas(polyline));}
int main(){
CASE(0)
string polyline = "FRFLF";
vector<long long> _;
END
CASE(1)
string polyline = "4[100FR]";
long long __[] = {10000 };
vector<long long> _(__, __+sizeof(__)/sizeof(*__));
END
CASE(2)
string polyline = "2[2[100FR]]";
long long __[] = {10000 };
vector<long long> _(__, __+sizeof(__)/sizeof(*__));
END
CASE(3)
string polyline = "47[100FR]";
long long __[] = {10000 };
vector<long long> _(__, __+sizeof(__)/sizeof(*__));
END
CASE(4)
string polyline = "1000000[]";
vector<long long> _;
END
CASE(5)
string polyline = "4[6FR]FR6FL2FL6FR3FRFR6FL2FL6F";
long long __[] = {1, 2, 2, 3, 3, 4, 6, 6, 9 };
vector<long long> _(__, __+sizeof(__)/sizeof(*__));
END
CASE(6)
string polyline = "4[6FR]FR6FL2FL6FR3FRFR6FL2FL4F";
long long __[] = {1, 2, 2, 3, 3, 4, 6, 15 };
vector<long long> _(__, __+sizeof(__)/sizeof(*__));
END
CASE(7)
string polyline = "3FRFRFLFLFRFR3FRFRFLFLFRF";
long long __[] = {7 };
vector<long long> _(__, __+sizeof(__)/sizeof(*__));
END
CASE(8)
string polyline = "250000F";
long long __[] = {-1};
vector<long long> _(__, __+sizeof(__)/sizeof(*__));
END
/*
CASE(9)
string polyline = ;
long long __[] = ;
vector<long long> _(__, __+sizeof(__)/sizeof(*__));
END
*/
}
// END CUT HERE