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on-restart-benchmarks/examples/radiotherapy.cpp
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/* -*- mode: C++; c-basic-offset: 2; indent-tabs-mode: nil -*- */
/*
* Main authors:
* Guido Tack <tack@gecode.org>
*
* Contributing authors:
* Mikael Lagerkvist <lagerkvist@gecode.org>
*
* Copyright:
* Guido Tack, 2009
* Mikael Lagerkvist, 2009
*
* This file is part of Gecode, the generic constraint
* development environment:
* http://www.gecode.org
*
* Permission is hereby granted, free of charge, to any person obtaining
* a copy of this software and associated documentation files (the
* "Software"), to deal in the Software without restriction, including
* without limitation the rights to use, copy, modify, merge, publish,
* distribute, sublicense, and/or sell copies of the Software, and to
* permit persons to whom the Software is furnished to do so, subject to
* the following conditions:
*
* The above copyright notice and this permission notice shall be
* included in all copies or substantial portions of the Software.
*
* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
* EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF
* MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
* NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE
* LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION
* OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION
* WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
*
*/
#include <gecode/driver.hh>
#include <gecode/int.hh>
#include <gecode/minimodel.hh>
using namespace Gecode;
/// Instance data for radio therapy problem
class RadiotherapyData {
private:
/// Compute incremental sum
int incr_sum(int row) {
int sum = intensity[row*n];
for (int i=1; i<n; i++)
sum += std::max(intensity[row*n+i]-intensity[row*n+i-1],0);
return sum;
}
public:
const int m; ///< Height of intensity matrix
const int n; ///< Width of intensity matrix
const int* intensity; ///< Intensity matrix
int btMin; ///< Minimal beam time (computed from other parameters)
int btMax; ///< Maximal beam time (computed from other parameters)
int intsSum; ///< Sum of all intensities
/// Construct instance data
RadiotherapyData(int m0, int n0, const int* intensity0)
: m(m0), n(n0), intensity(intensity0) {
btMax = 0;
intsSum = 0;
for (int i=0; i<m*n; i++) {
btMax = std::max(btMax, intensity[i]);
intsSum += intensity[i];
}
btMin = 0;
for (int i=0; i<m; i++)
btMin = std::max(btMin, incr_sum(i));
}
};
namespace {
extern RadiotherapyData rds[];
extern const unsigned int rds_n;
}
/**
* \brief %Example: %Radiotherapy
*
* Implementation of the model for cancer radiation treatment planning
* from the paper
*
* Davaatseren Baatar, Natashia Boland, Sebastian Brand, Peter J. Stuckey.
* Minimum Cardinality Matrix Decomposition into Consecutive-Ones Matrices:
* CP and IP Approaches. CPAIOR 2007
*
* \ingroup Example
*
*/
class Radiotherapy : public IntMinimizeScript {
private:
/// Instance data
const RadiotherapyData rd;
/// Total beam-on time
IntVar beamtime;
/// Number of shape matrices
IntVar K;
/// n[b] is the number of shape matrices with associated beam-on time b
IntVarArray N;
/// Q[i,j,b] is the number of shape matrices with associated beam-on time b that expose cell (i,j)
IntVarArray q;
/// Cost to be minimized
IntVar _cost;
public:
/// The actual problem
Radiotherapy(const SizeOptions& opt)
: IntMinimizeScript(opt), rd(rds[opt.size()]) {
// Initialize variables
beamtime = IntVar(*this, rd.btMin, rd.intsSum);
K = IntVar(*this, 0, rd.m*rd.n);
N = IntVarArray(*this, rd.btMax, 0, rd.m*rd.n);
q = IntVarArray(*this, rd.m*rd.n*rd.btMax, 0, rd.m*rd.n);
IntArgs coeffs(rd.btMax);
for (int i=0; i<rd.btMax; i++)
coeffs[i] = i+1;
linear(*this, coeffs, N, IRT_EQ, beamtime);
linear(*this, N, IRT_EQ, K);
for (int i=0; i<rd.m; i++) {
for (int j=0; j<rd.n; j++) {
IntVarArgs qs(rd.btMax);
for (int b=0; b<rd.btMax; b++)
qs[b] = q[i*rd.n*rd.btMax+j*rd.btMax+b];
linear(*this, coeffs, qs, IRT_EQ, rd.intensity[i*rd.n+j], IPL_DOM);
}
}
for (int i=0; i<rd.m; i++) {
for (int b=0; b<rd.btMax; b++) {
IntVarArgs qs(rd.n);
for (int j=0; j<rd.n; j++)
qs[j] = q[i*rd.n*rd.btMax+j*rd.btMax+b];
incr_sum(N[b], qs, rd.m*rd.n);
}
}
_cost = IntVar(*this, 0, (rd.m*rd.n+1)*(rd.intsSum+1));
rel(*this, _cost == beamtime*(rd.m*rd.n+1)+K);
// First branch over beamtime and N
IntVarArgs ba({beamtime});
branch(*this, ba, INT_VAR_NONE(), INT_VAL_MIN());
branch(*this, N, INT_VAR_NONE(), INT_VAL_SPLIT_MIN());
// Then perform a nested search over q
NestedSearch::post(*this);
}
/// Post incremental sum constraint
void incr_sum(IntVar& x, IntVarArgs& y, int mn) {
IntVarArgs s(*this, y.size()-1, 0, mn);
IntVarArgs t(y.size());
t[0] = y[0];
for (int i=1; i<y.size(); i++) {
rel(*this, s[i-1] >= y[i]-y[i-1]);
t[i] = s[i-1];
}
linear(*this, t, IRT_LQ, x);
}
/// Constructor for cloning \a s
Radiotherapy(Radiotherapy& s)
: IntMinimizeScript(s), rd(s.rd) {
beamtime.update(*this, s.beamtime);
N.update(*this, s.N);
K.update(*this, s.K);
_cost.update(*this, s._cost);
q.update(*this, s.q);
}
/// Perform copying during cloning
virtual Space*
copy(void) {
return new Radiotherapy(*this);
}
/// Cost to be minimized
virtual IntVar
cost(void) const { return _cost; }
/// Print solution
virtual void
print(std::ostream& os) const {
os << std::endl
<< "B / K = " << beamtime << " / " << K << ",\nN = " << N << std::endl;
}
/// Nested search on the q variables
class NestedSearch : public Brancher {
private:
/// Flag that the brancher is done after one commit
bool done;
/// Mapping of index to weight
struct Idx {
int idx; ///< Index
int weight; ///< Weight
/// Sort order (higher weights go first)
bool operator<(const Idx& rhs) const { return weight > rhs.weight; }
};
/// Weighted ordering of rows
SharedArray<Idx> index;
/// Choice that only signals failure or success
class Choice : public Gecode::Choice {
public:
/// Whether brancher should fail
bool fail;
/// Initialize choice for brancher \a b
Choice(const Brancher& b, bool fail0)
: Gecode::Choice(b,1), fail(fail0) {}
/// Archive into \a e
virtual void archive(Archive& e) const {
Gecode::Choice::archive(e);
e.put(fail);
}
};
/// Construct brancher
NestedSearch(Space& home) : Brancher(home), done(false) {
Radiotherapy& rt = static_cast<Radiotherapy&>(home);
// Set up ordering of rows. As a heuristic, pre-order the rows
// with the potentially cheapest ones first.
index.init(rt.rd.m+1);
for (int i = rt.rd.m; i--; ) {
index[i].idx = i;
index[i].weight = 0;
for (int j = rt.rd.n; j--; )
index[i].weight += rt.rd.intensity[i*rt.rd.n + j] == 0;
}
Support::quicksort(&(index[0]), rt.rd.m);
for (int i = rt.rd.m; i--; )
index[i].weight = 0;
index[rt.rd.m].idx = 10;
// A shared object must be disposed properly
home.notice(*this, AP_DISPOSE);
}
/// Copy constructor
NestedSearch(Space& home, NestedSearch& b)
: Brancher(home, b), done(b.done), index(b.index) {
}
public:
virtual bool status(const Space&) const {
return !done;
}
IntVarArgs getRow(Radiotherapy* row, int i) {
IntVarArgs ri(row->rd.n*row->rd.btMax);
for (int j=0; j<row->rd.n; j++) {
for (int b=0; b<row->rd.btMax; b++) {
ri[j*row->rd.btMax+b] =
row->q[i*row->rd.n*row->rd.btMax+j*row->rd.btMax+b];
}
}
return ri;
}
/// Return choice
virtual Gecode::Choice* choice(Space& home) {
done = true;
Radiotherapy& rt = static_cast<Radiotherapy&>(home);
std::cout << "*";
// Perform nested search for each row
bool fail = false;
for (int i=0; i<rt.rd.m; i++) {
// Create fresh clone for row i
Radiotherapy* row = static_cast<Radiotherapy*>(rt.clone());
// Branch over row i
branch(*row, getRow(row, index[i].idx),
INT_VAR_NONE(), INT_VAL_SPLIT_MIN());
Search::Options o; o.clone = false;
if (Radiotherapy* newSol = dfs(row, o) ) {
// Found a solution for row i, so try to find one for i+1
delete newSol;
std::cerr << index[i].idx;
} else {
// Found no solution for row i, so back to search the N variables
fail = true;
index[i].weight += 1;
if (i && index[i] < index[i-1])
std::swap(index[i], index[i-1]);
break;
}
}
return new Choice(*this, fail);
}
/// Return choice
virtual Choice* choice(const Space&, Archive& e) {
bool fail; e >> fail;
return new Choice(*this, fail);
}
/// Perform commit for choice \a _c and alternative \a a
virtual ExecStatus commit(Space&, const Gecode::Choice& _c, unsigned int) {
return static_cast<const Choice&>(_c).fail ? ES_FAILED : ES_OK;
}
/// Print explanation
virtual void print(const Space&, const Gecode::Choice& _c,
unsigned int,
std::ostream& o) const {
const Choice& c = static_cast<const Choice&>(_c);
o << (c.fail ? "fail" : "ok");
}
/// Copy brancher
virtual Actor* copy(Space& home) {
return new (home) NestedSearch(home, *this);
}
/// Post brancher
static void post(Home home) {
(void) new (home) NestedSearch(home);
}
/// Dispose member function
size_t dispose(Space& home) {
home.ignore(*this,AP_DISPOSE);
// Periodic scaling of weights
if (!--index[index.size()-1].idx) {
index[index.size()-1].idx = 10;
for (int i = index.size()-1; i--; )
index[i].weight *= 0.9;
}
(void) Brancher::dispose(home);
(void) index.~SharedArray<Idx>();
return sizeof(*this);
}
};
};
/** \brief Main-function
* \relates Radiotherapy
*/
int
main(int argc, char* argv[]) {
SizeOptions opt("Radiotherapy");
opt.solutions(0);
opt.size(0);
opt.parse(argc,argv);
if (opt.size() >= rds_n) {
std::cerr << "Error: size must be between 0 and "
<< rds_n-1 << std::endl;
return 1;
}
IntMinimizeScript::run<Radiotherapy,BAB,SizeOptions>(opt);
return 0;
}
namespace {
/** \brief Radiotherapy specifications.
*
* \relates Radiotherapy
*/
//@{
// Small instance
static const int intensity0[] = {
7, 2, 14, 8, 9,
13, 4, 1, 2, 9,
5, 12, 2, 11, 9,
10, 2, 4, 9, 7,
10, 2, 8, 11, 1
};
RadiotherapyData rd0(5,5,intensity0);
// Larger instance
static const int intensity1[] = {
6, 10, 6, 8, 10, 0, 4, 10, 0, 6, 2, 8, 0, 2, 0 ,
1, 8, 3, 1, 0, 8, 0, 3, 6, 10, 9, 8, 9, 6, 9 ,
8, 5, 6, 7, 7, 0, 6, 8, 2, 7, 5, 2, 0, 9, 2 ,
9, 2, 10, 5, 7, 1, 3, 7, 5, 1, 8, 2, 3, 10, 4 ,
8, 7, 4, 1, 6, 3, 0, 1, 2, 6, 4, 4, 0, 5, 0 ,
9, 0, 7, 4, 9, 7, 4, 1, 4, 1, 1, 9, 2, 9, 9 ,
3, 6, 10, 0, 6, 6, 10, 10, 7, 0, 10, 2, 10, 2, 4 ,
8, 9, 5, 2, 6, 1, 9, 0, 4, 2, 4, 1, 5, 1, 4 ,
6, 10, 0, 0, 7, 0, 0, 5, 8, 5, 10, 3, 2, 2, 10 ,
4, 3, 0, 6, 10, 7, 2, 7, 2, 9, 2, 8, 9, 7, 9 ,
10, 2, 0, 5, 5, 1, 3, 7, 1, 6, 5, 4, 2, 8, 1 ,
3, 6, 4, 3, 7, 10, 6, 7, 7, 6, 5, 9, 10, 8, 3 ,
9, 9, 5, 2, 4, 2, 3, 3, 1, 2, 9, 2, 5, 6, 3 ,
7, 5, 2, 6, 4, 8, 1, 0, 2, 4, 7, 9, 3, 3, 0 ,
5, 3, 8, 7, 10, 6, 7, 7, 6, 10, 4, 4, 5, 8, 0
};
RadiotherapyData rd1(15,15,intensity1);
/*
* The following 25 clinical instances were provided by
* - James F. Dempsey, ViewRay, Inc.
* - H. Edwin Romeijn, Department of Industrial and Operations
* Engineering, The University of Michigan
* - J. Cole Smith, Department of Industrial and Systems
* Engineering, University of Florida
* - Z. Caner Taskin, Department of Industrial and Systems
* Engineering, University of Florida
* - Chunhua Men, Department of Industrial and Systems Engineering,
* University of Florida
* They are from the artiples
* - "Mixed-Integer Programming Techniques for Decomposing IMRT
* Fluence Maps Using Rectangular Apertures", Z. Caner Taskin,
* J. Cole Smith, H. Edwin Romeijn
* - "Optimal Multileaf Collimator Leaf Sequencing in IMRT Treatment
* Planning", Z. Caner Tasin, J. Cole Smith, H. Edwin Romeijn, James
* F. Dempsey
*/
static const int case1_beam1_matrix[] = {
2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2,
2, 1, 0, 0, 0, 0, 0, 0, 0, 5, 0, 3, 0, 2,
3, 1, 0, 0, 0, 0, 0, 0, 18, 0, 0, 4, 6, 0,
2, 0, 0, 3, 11, 8, 15, 1, 11, 0, 0, 0, 10, 0,
0, 0, 0, 9, 11, 14, 6, 2, 7, 0, 0, 0, 7, 0,
0, 8, 2, 7, 10, 11, 7, 2, 0, 7, 0, 0, 0, 1,
0, 0, 4, 1, 6, 7, 0, 0, 0, 0, 0, 0, 0, 1,
0, 3, 1, 0, 4, 6, 0, 0, 0, 1, 0, 0, 0, 1,
0, 1, 5, 6, 8, 8, 5, 0, 2, 0, 0, 0, 7, 0,
0, 5, 2, 8, 10, 11, 5, 3, 7, 0, 2, 4, 11, 0,
0, 0, 0, 1, 12, 13, 9, 7, 11, 1, 2, 3, 6, 0,
0, 0, 0, 0, 0, 0, 0, 4, 20, 0, 0, 8, 5, 0,
3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 6, 7, 0, 2,
2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2,
1, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 2, 1
};
RadiotherapyData case1_beam1(15, 14, case1_beam1_matrix);
static const int case1_beam2_matrix[] = {
2, 3, 0, 0, 0, 0, 0, 0, 0, 0, 4, 3, 4, 0, 2,
2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 2, 0, 1,
3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 1, 0, 0, 3,
0, 0, 0, 5, 5, 3, 0, 0, 3, 2, 8, 6, 0, 0, 3,
0, 0, 7, 11, 10, 11, 5, 8, 4, 11, 13, 20, 0, 0, 3,
0, 10, 10, 9, 7, 7, 7, 2, 9, 0, 0, 0, 9, 0, 2,
0, 4, 7, 7, 5, 6, 2, 0, 4, 0, 0, 0, 3, 0, 2,
0, 10, 2, 7, 1, 2, 0, 0, 0, 0, 0, 0, 0, 3, 1,
0, 0, 5, 6, 3, 1, 0, 6, 8, 0, 0, 0, 0, 1, 2,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 2,
0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2
};
RadiotherapyData case1_beam2(11, 15, case1_beam2_matrix);
static const int case1_beam3_matrix[] = {
2, 1, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1,
1, 2, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 1, 2, 2,
1, 3, 0, 0, 0, 0, 0, 0, 0, 6, 4, 1, 12, 0, 2,
2, 0, 0, 0, 0, 0, 0, 0, 0, 11, 6, 1, 9, 0, 2,
2, 0, 0, 0, 0, 0, 0, 0, 2, 11, 0, 0, 0, 2, 1,
0, 0, 0, 0, 0, 1, 0, 4, 0, 0, 0, 0, 0, 1, 1,
0, 3, 0, 2, 6, 7, 6, 6, 4, 0, 0, 0, 0, 0, 2,
0, 0, 10, 12, 11, 10, 13, 13, 12, 5, 0, 0, 0, 0, 2,
0, 0, 11, 12, 10, 10, 14, 15, 15, 5, 2, 7, 12, 0, 2,
0, 9, 5, 9, 7, 6, 12, 16, 13, 8, 5, 7, 7, 0, 2,
2, 0, 0, 0, 0, 0, 4, 20, 12, 8, 1, 6, 8, 0, 2,
0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 7, 0, 2,
0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2,
2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 1,
0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1
};
RadiotherapyData case1_beam3(15, 15, case1_beam3_matrix);
static const int case1_beam4_matrix[] = {
3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2,
0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2,
0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 13, 0, 4, 0, 2,
0, 6, 5, 5, 8, 9, 11, 20, 8, 9, 18, 10, 7, 0, 2,
0, 3, 10, 9, 12, 11, 15, 15, 11, 11, 16, 15, 3, 0, 3,
0, 5, 7, 12, 14, 11, 15, 15, 13, 10, 15, 10, 5, 0, 3,
0, 5, 1, 9, 11, 9, 13, 9, 12, 6, 3, 0, 0, 0, 2,
0, 0, 0, 0, 4, 2, 4, 0, 7, 0, 0, 0, 0, 0, 2,
2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1,
2, 0, 0, 1, 7, 4, 0, 0, 0, 10, 10, 4, 0, 1, 1,
2, 2, 0, 0, 0, 0, 0, 4, 0, 14, 14, 9, 0, 0, 1,
2, 2, 0, 0, 0, 0, 0, 0, 0, 12, 16, 5, 1, 0, 2,
2, 2, 0, 0, 0, 0, 0, 0, 1, 10, 12, 6, 3, 0, 2,
1, 3, 0, 0, 0, 0, 0, 0, 2, 12, 15, 3, 0, 1, 2
};
RadiotherapyData case1_beam4(15, 15, case1_beam4_matrix);
static const int case1_beam5_matrix[] = {
3, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 2,
0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2,
0, 0, 6, 4, 3, 1, 0, 0, 7, 0, 0, 0, 0, 3, 2,
0, 13, 6, 1, 1, 1, 5, 0, 2, 0, 0, 0, 0, 1, 2,
0, 2, 12, 5, 4, 2, 2, 0, 1, 20, 11, 11, 5, 0, 2,
0, 9, 12, 7, 3, 2, 7, 3, 5, 14, 12, 13, 11, 0, 2,
0, 5, 11, 13, 6, 6, 5, 5, 5, 15, 11, 13, 12, 0, 2,
0, 0, 0, 1, 4, 5, 0, 0, 0, 7, 9, 9, 8, 0, 2,
4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 4, 5, 0, 2,
2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1,
2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 9, 0, 3
};
RadiotherapyData case1_beam5(11, 15, case1_beam5_matrix);
static const int case2_beam1_matrix[] = {
1, 1, 1, 4, 1, 0, 1, 5, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2,
1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2,
1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 2, 7, 2, 1,
1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 12, 12, 5, 8, 5, 3, 0,
2, 1, 3, 0, 0, 0, 0, 0, 4, 20, 10, 1, 0, 8, 7, 8, 6, 7, 2, 1,
1, 3, 1, 0, 3, 1, 13, 18, 14, 10, 5, 0, 3, 7, 7, 7, 6, 7, 2, 0,
2, 0, 0, 0, 3, 1, 9, 8, 8, 6, 2, 3, 4, 5, 11, 10, 9, 10, 3, 0,
2, 0, 0, 0, 1, 1, 7, 8, 5, 4, 1, 1, 0, 4, 3, 1, 0, 0, 0, 2,
2, 0, 0, 1, 0, 0, 4, 5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1,
2, 0, 0, 4, 2, 0, 2, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1,
3, 0, 5, 6, 3, 1, 2, 5, 3, 1, 3, 0, 1, 0, 4, 5, 5, 9, 0, 1,
1, 0, 2, 8, 3, 2, 3, 6, 5, 3, 4, 6, 4, 5, 10, 11, 8, 10, 4, 0,
0, 0, 0, 8, 5, 4, 5, 8, 5, 7, 6, 5, 3, 5, 8, 7, 7, 10, 2, 0,
3, 0, 9, 11, 5, 5, 6, 11, 7, 6, 6, 6, 4, 6, 8, 7, 7, 9, 2, 0,
2, 0, 11, 11, 5, 6, 7, 9, 9, 6, 8, 5, 4, 6, 10, 6, 7, 7, 2, 0,
2, 0, 6, 11, 4, 3, 1, 0, 0, 0, 0, 4, 7, 6, 2, 0, 0, 3, 0, 2,
1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2,
1, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2
};
RadiotherapyData case2_beam1(18, 20, case2_beam1_matrix);
static const int case2_beam2_matrix[] = {
2, 3, 2, 1, 5, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3,
3, 3, 3, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3,
3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 3, 2,
3, 3, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 8, 5, 1,
2, 3, 1, 0, 0, 0, 0, 1, 0, 0, 5, 6, 5, 5, 1, 2, 6, 2, 1,
2, 2, 2, 0, 0, 0, 0, 8, 0, 4, 2, 5, 2, 7, 5, 1, 4, 2, 1,
2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 3, 4, 7, 4, 0,
3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 6, 6, 7, 5, 7, 8, 7, 0,
2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 7, 10, 7, 2, 3, 5, 12, 6, 0,
4, 0, 0, 0, 0, 6, 5, 6, 4, 8, 10, 12, 9, 7, 1, 6, 6, 6, 0,
0, 0, 0, 18, 18, 3, 3, 4, 6, 9, 12, 12, 7, 5, 0, 0, 0, 0, 2,
0, 0, 0, 20, 11, 0, 1, 4, 5, 10, 10, 8, 6, 1, 6, 3, 4, 1, 3,
0, 0, 0, 16, 11, 0, 3, 2, 7, 11, 10, 13, 7, 2, 2, 0, 0, 0, 2,
3, 0, 0, 14, 10, 1, 5, 2, 8, 15, 9, 9, 13, 5, 0, 0, 0, 0, 3,
2, 0, 0, 16, 9, 5, 5, 4, 7, 18, 0, 0, 0, 0, 0, 0, 0, 1, 2,
2, 0, 0, 15, 10, 7, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2,
2, 0, 0, 0, 18, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2
};
RadiotherapyData case2_beam2(17, 19, case2_beam2_matrix);
static const int case2_beam3_matrix[] = {
1, 2, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3,
1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2,
1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 4, 3, 2, 6, 2, 2,
1, 0, 0, 0, 0, 0, 0, 4, 2, 10, 11, 12, 7, 7, 4, 0, 4, 1,
2, 0, 0, 0, 0, 0, 0, 4, 6, 9, 10, 12, 6, 5, 4, 4, 3, 2,
2, 0, 0, 0, 0, 14, 0, 7, 2, 9, 8, 8, 3, 6, 4, 4, 2, 2,
3, 0, 0, 0, 10, 11, 0, 0, 1, 7, 4, 2, 2, 0, 0, 0, 2, 2,
0, 0, 0, 1, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1,
0, 0, 0, 0, 4, 1, 1, 0, 2, 2, 0, 0, 2, 0, 3, 0, 1, 2,
0, 0, 0, 0, 5, 5, 7, 7, 8, 9, 5, 8, 1, 1, 0, 0, 0, 3,
0, 0, 8, 0, 10, 10, 12, 15, 16, 10, 7, 6, 0, 3, 0, 0, 0, 3,
0, 0, 20, 4, 12, 12, 11, 19, 17, 17, 11, 9, 12, 12, 11, 13, 3, 1,
0, 0, 0, 11, 8, 10, 11, 15, 18, 12, 5, 3, 6, 8, 11, 12, 9, 0,
1, 0, 0, 6, 10, 1, 3, 17, 17, 13, 5, 1, 4, 16, 8, 15, 3, 1,
2, 0, 0, 8, 0, 0, 0, 0, 0, 11, 6, 0, 6, 0, 0, 0, 0, 3,
2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2,
2, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2,
2, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2
};
RadiotherapyData case2_beam3(18, 18, case2_beam3_matrix);
static const int case2_beam4_matrix[] = {
3, 0, 5, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 2, 2,
0, 0, 5, 2, 2, 0, 7, 3, 3, 0, 0, 0, 0, 0, 0, 3, 1, 2,
0, 0, 0, 4, 3, 0, 8, 11, 9, 4, 0, 2, 0, 0, 0, 0, 4, 1,
0, 0, 9, 5, 5, 2, 12, 13, 10, 7, 3, 1, 4, 0, 0, 0, 0, 3,
0, 16, 9, 4, 10, 7, 15, 16, 8, 5, 6, 4, 7, 10, 0, 11, 0, 2,
0, 0, 12, 6, 12, 12, 18, 18, 14, 9, 7, 7, 8, 12, 13, 12, 10, 0,
0, 0, 0, 8, 13, 15, 18, 20, 12, 13, 12, 12, 12, 13, 11, 10, 8, 0,
0, 0, 0, 3, 5, 14, 17, 16, 11, 8, 4, 10, 12, 11, 14, 9, 1, 3,
0, 0, 0, 0, 0, 3, 14, 8, 5, 4, 5, 9, 4, 0, 0, 0, 0, 3,
4, 3, 0, 0, 1, 0, 8, 3, 3, 0, 0, 0, 0, 0, 2, 0, 0, 3,
1, 7, 0, 0, 1, 2, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2,
3, 4, 5, 0, 0, 0, 0, 0, 0, 0, 5, 1, 4, 1, 4, 0, 0, 2,
2, 5, 4, 0, 0, 0, 0, 0, 0, 0, 8, 10, 7, 0, 6, 1, 4, 1,
2, 4, 4, 0, 0, 0, 0, 0, 0, 4, 5, 5, 6, 1, 6, 6, 2, 2,
2, 4, 3, 2, 0, 0, 0, 0, 4, 3, 12, 2, 1, 7, 3, 4, 2, 2,
2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 3, 7, 3, 12, 5, 5, 1,
2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 2, 2,
3, 3, 5, 0, 3, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 3
};
RadiotherapyData case2_beam4(18, 18, case2_beam4_matrix);
static const int case2_beam5_matrix[] = {
0, 0, 0, 15, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2,
0, 0, 2, 10, 16, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 2,
0, 0, 6, 9, 15, 3, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 1, 3,
2, 4, 9, 12, 15, 3, 4, 0, 3, 0, 2, 17, 13, 0, 0, 0, 2, 3,
0, 5, 12, 14, 17, 5, 2, 0, 0, 8, 17, 16, 13, 4, 0, 0, 0, 3,
0, 6, 13, 16, 17, 5, 2, 2, 4, 5, 12, 10, 10, 13, 6, 0, 0, 3,
0, 0, 20, 17, 18, 8, 4, 5, 6, 10, 14, 13, 11, 2, 1, 4, 0, 3,
0, 0, 0, 14, 18, 11, 8, 9, 9, 10, 13, 12, 8, 8, 5, 6, 5, 0,
0, 0, 0, 2, 11, 10, 6, 3, 1, 6, 10, 11, 5, 8, 9, 8, 9, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 7, 3, 10, 4, 5, 3, 1,
0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 6, 6, 2, 2, 2, 2, 1,
0, 0, 0, 0, 0, 0, 1, 0, 3, 3, 4, 3, 4, 1, 0, 0, 2, 0,
0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 4, 1, 2,
2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 4, 0, 0, 0, 0, 8, 3, 1,
1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2,
1, 3, 5, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3,
1, 2, 1, 4, 8, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2
};
RadiotherapyData case2_beam5(17, 18, case2_beam5_matrix);
static const int case3_beam1_matrix[] = {
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 13, 8, 8, 1, 0, 0, 0,
1, 2, 0, 0, 0, 0, 0, 0, 11, 9, 5, 5, 4, 5, 0, 2, 0,
1, 0, 0, 0, 0, 0, 8, 13, 9, 6, 4, 4, 4, 8, 0, 2, 0,
0, 2, 17, 10, 13, 14, 10, 8, 7, 6, 4, 4, 5, 8, 0, 2, 0,
0, 12, 20, 9, 14, 15, 7, 2, 5, 5, 5, 3, 4, 9, 0, 1, 1,
0, 17, 13, 10, 15, 16, 5, 1, 5, 7, 5, 6, 4, 8, 0, 2, 1,
1, 0, 15, 9, 15, 20, 6, 1, 4, 7, 7, 6, 5, 9, 7, 1, 1,
0, 0, 2, 7, 16, 9, 5, 0, 3, 7, 5, 5, 4, 7, 4, 5, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 4, 4, 2, 6, 5, 4, 0,
0, 0, 0, 0, 0, 0, 0, 0, 1, 6, 3, 3, 3, 6, 5, 4, 0,
0, 0, 0, 5, 7, 5, 8, 0, 2, 7, 5, 4, 5, 7, 4, 5, 0,
0, 4, 9, 8, 16, 19, 5, 1, 3, 7, 6, 5, 6, 9, 6, 1, 1,
0, 13, 12, 8, 14, 14, 4, 2, 0, 8, 4, 5, 5, 8, 2, 0, 2,
0, 20, 11, 7, 14, 15, 3, 0, 0, 6, 3, 3, 5, 9, 0, 1, 1,
0, 6, 17, 4, 14, 14, 6, 1, 1, 5, 2, 3, 5, 7, 0, 1, 0,
0, 0, 0, 11, 6, 13, 7, 2, 2, 5, 2, 4, 3, 6, 0, 2, 0,
1, 0, 0, 0, 6, 0, 8, 2, 3, 5, 3, 7, 4, 7, 0, 0, 0,
0, 0, 0, 0, 0, 0, 6, 0, 4, 4, 7, 10, 4, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 2, 8, 5, 0, 10, 0, 1, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 6, 2, 0, 0, 0, 0, 1, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0
};
RadiotherapyData case3_beam1(22, 17, case3_beam1_matrix);
static const int case3_beam2_matrix[] = {
0, 0, 1, 1, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 8, 0, 1, 4, 5, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0,
2, 0, 0, 0, 3, 2, 2, 1, 1, 0, 0, 1, 4, 7, 11, 9, 0, 0, 0,
2, 0, 0, 0, 3, 2, 2, 0, 2, 4, 1, 4, 7, 11, 10, 20, 1, 0, 0,
3, 0, 2, 0, 2, 2, 2, 1, 7, 8, 5, 9, 13, 16, 13, 14, 12, 0, 0,
2, 0, 1, 0, 3, 2, 4, 5, 15, 16, 12, 11, 15, 17, 15, 14, 9, 0, 3,
2, 0, 11, 0, 6, 3, 0, 5, 17, 16, 10, 10, 13, 17, 13, 14, 7, 1, 3,
2, 0, 5, 0, 8, 1, 0, 2, 16, 16, 9, 8, 10, 14, 12, 13, 12, 0, 3,
0, 0, 0, 2, 8, 1, 0, 7, 15, 17, 7, 8, 10, 12, 9, 12, 5, 1, 0,
0, 0, 0, 0, 5, 0, 2, 7, 15, 13, 5, 4, 9, 7, 4, 0, 0, 2, 0,
0, 0, 0, 0, 4, 0, 1, 4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0,
0, 0, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0
};
RadiotherapyData case3_beam2(15, 19, case3_beam2_matrix);
static const int case3_beam3_matrix[] = {
0, 0, 0, 0, 0, 0, 0, 0, 15, 8, 10, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 15, 10, 7, 10, 7, 18, 0, 0, 0, 0,
0, 3, 5, 5, 3, 0, 7, 8, 12, 9, 12, 11, 20, 0, 0, 0, 0,
0, 0, 0, 4, 5, 2, 6, 5, 12, 9, 12, 12, 14, 3, 0, 1, 0,
0, 0, 0, 7, 2, 4, 7, 9, 11, 9, 10, 10, 7, 5, 0, 0, 0,
0, 0, 1, 7, 1, 2, 7, 8, 10, 4, 5, 1, 0, 0, 0, 0, 0,
0, 0, 0, 3, 0, 3, 2, 3, 4, 0, 0, 0, 0, 0, 0, 0, 0,
0, 7, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0,
3, 2, 4, 0, 0, 0, 0, 0, 0, 0, 2, 4, 4, 7, 10, 8, 0,
0, 0, 4, 4, 0, 0, 0, 9, 6, 7, 7, 10, 6, 13, 8, 10, 0,
0, 6, 12, 12, 0, 0, 0, 15, 9, 11, 15, 16, 15, 17, 4, 17, 0,
0, 5, 14, 12, 5, 0, 9, 18, 15, 18, 19, 18, 16, 17, 6, 14, 0,
0, 14, 7, 13, 3, 2, 16, 17, 13, 17, 17, 16, 17, 12, 8, 12, 0,
0, 4, 14, 8, 5, 1, 10, 12, 7, 19, 17, 18, 15, 13, 0, 0, 3,
0, 0, 6, 10, 0, 0, 0, 4, 5, 16, 17, 16, 13, 15, 2, 0, 3,
0, 0, 0, 0, 0, 0, 0, 0, 5, 17, 15, 16, 12, 15, 2, 2, 0,
1, 0, 0, 0, 0, 0, 2, 2, 0, 7, 15, 9, 11, 13, 7, 1, 0,
0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 15, 0, 3, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 15, 1, 2, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0
};
RadiotherapyData case3_beam3(20, 17, case3_beam3_matrix);
static const int case3_beam4_matrix[] = {
0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 3, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 20, 0, 0, 0, 12, 0, 3, 0,
2, 0, 0, 0, 0, 0, 2, 0, 10, 9, 20, 0, 0, 15, 0, 3, 0,
0, 0, 0, 14, 0, 0, 0, 3, 7, 11, 16, 16, 6, 16, 2, 2, 0,
0, 0, 10, 9, 5, 0, 0, 16, 7, 10, 17, 16, 13, 11, 12, 0, 0,
0, 9, 10, 10, 5, 2, 11, 9, 9, 12, 16, 18, 12, 13, 3, 0, 3,
0, 5, 11, 10, 6, 4, 10, 15, 10, 13, 17, 18, 16, 5, 11, 0, 2,
0, 1, 13, 11, 7, 2, 19, 12, 14, 12, 16, 18, 16, 12, 7, 11, 0,
0, 0, 14, 6, 7, 0, 0, 11, 13, 13, 17, 16, 16, 11, 7, 11, 0,
0, 0, 5, 0, 0, 0, 0, 7, 4, 8, 11, 12, 12, 10, 7, 9, 0,
2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 5, 5, 7, 7, 8, 1, 1,
3, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 6, 5, 11, 0, 2,
0, 6, 3, 2, 2, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 4, 4, 7, 8, 9, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 4, 6, 2, 9, 12, 6, 5, 5, 5, 0, 0, 0, 1,
0, 0, 0, 4, 2, 4, 0, 7, 10, 8, 10, 10, 5, 0, 0, 1, 0,
1, 0, 0, 3, 0, 0, 0, 0, 6, 5, 11, 9, 11, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 10, 13, 13, 0, 0, 0, 0
};
RadiotherapyData case3_beam4(19, 17, case3_beam4_matrix);
static const int case3_beam5_matrix[] = {
0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 7, 1, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0,
0, 0, 0, 0, 0, 0, 1, 15, 0, 0, 0, 0, 4, 5, 0, 0, 0, 3, 0,
0, 0, 0, 0, 1, 0, 0, 13, 2, 0, 5, 9, 9, 9, 1, 7, 0, 3, 0,
1, 0, 1, 2, 5, 0, 0, 3, 5, 0, 8, 10, 9, 12, 10, 17, 4, 2, 0,
3, 0, 0, 0, 5, 1, 0, 8, 9, 2, 10, 13, 12, 14, 12, 14, 10, 1, 3,
3, 0, 0, 0, 3, 2, 2, 11, 11, 8, 14, 15, 16, 17, 15, 15, 5, 2, 3,
3, 0, 2, 2, 2, 1, 3, 9, 8, 7, 7, 15, 13, 19, 18, 13, 15, 1, 0,
3, 0, 0, 2, 0, 2, 2, 6, 1, 3, 1, 7, 9, 12, 11, 19, 0, 0, 0,
3, 0, 0, 4, 0, 2, 3, 2, 1, 1, 0, 3, 4, 7, 20, 0, 0, 0, 0,
3, 0, 16, 0, 3, 0, 3, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
4, 0, 16, 3, 4, 2, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 1, 0, 0, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0
};
RadiotherapyData case3_beam5(15, 19, case3_beam5_matrix);
static const int case4_beam1_matrix[] = {
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14, 5, 8, 10, 0, 0, 0, 0, 2,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 9, 2, 0, 2, 1, 2,
0, 0, 0, 0, 0, 0, 0, 10, 17, 12, 0, 7, 5, 0, 0, 1, 6, 7, 4, 4, 3, 1,
2, 0, 0, 0, 20, 0, 0, 0, 0, 0, 2, 1, 3, 1, 1, 1, 6, 7, 6, 4, 0, 1,
2, 1, 0, 8, 6, 0, 0, 0, 0, 0, 0, 2, 3, 2, 2, 1, 6, 7, 7, 7, 0, 0,
2, 0, 11, 5, 2, 4, 6, 0, 0, 3, 4, 2, 6, 1, 2, 1, 8, 5, 8, 8, 2, 0,
1, 0, 1, 1, 0, 0, 2, 4, 7, 2, 0, 1, 3, 1, 5, 0, 11, 4, 7, 9, 2, 0,
0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 6, 1, 10, 3, 7, 8, 3, 0,
1, 0, 0, 0, 0, 0, 3, 5, 8, 0, 1, 1, 2, 1, 7, 1, 11, 3, 6, 8, 4, 0,
1, 0, 7, 4, 2, 6, 6, 0, 6, 3, 2, 4, 7, 6, 10, 2, 11, 3, 6, 7, 4, 0,
0, 8, 16, 13, 0, 0, 0, 0, 0, 0, 2, 3, 6, 6, 7, 3, 10, 3, 5, 7, 4, 0,
2, 0, 0, 0, 16, 0, 0, 0, 0, 0, 3, 2, 4, 7, 9, 4, 9, 3, 5, 6, 4, 0,
0, 0, 0, 0, 0, 0, 0, 12, 6, 8, 5, 4, 5, 8, 6, 3, 8, 3, 5, 6, 3, 0,
0, 0, 0, 0, 0, 0, 0, 14, 15, 10, 0, 3, 9, 8, 4, 2, 7, 3, 4, 5, 1, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 11, 11, 4, 2, 7, 2, 4, 5, 0, 2,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14, 4, 1, 8, 2, 3, 2, 2, 2,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 15, 12, 5, 0, 0, 0, 0, 0, 2,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 17, 1, 0, 0, 0, 0, 0, 0, 0
};
RadiotherapyData case4_beam1(19, 22, case4_beam1_matrix);
static const int case4_beam2_matrix[] = {
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 3, 2, 9, 17, 10, 11, 6, 0, 0, 5, 0,
0, 0, 0, 0, 0, 0, 7, 6, 0, 0, 0, 0, 1, 2, 7, 14, 16, 14, 16, 7, 5, 5, 0, 4,
0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 5, 10, 16, 20, 12, 17, 8, 13, 13, 0, 4,
0, 3, 7, 2, 0, 5, 5, 0, 6, 2, 0, 0, 3, 12, 16, 17, 17, 10, 19, 9, 11, 13, 0, 4,
3, 0, 19, 9, 11, 10, 3, 2, 0, 7, 7, 13, 20, 14, 17, 15, 18, 7, 18, 11, 11, 15, 0, 4,
0, 3, 4, 9, 10, 9, 0, 2, 0, 2, 0, 13, 13, 13, 14, 14, 17, 4, 17, 11, 11, 16, 0, 4,
0, 1, 0, 0, 0, 6, 0, 0, 1, 1, 0, 5, 13, 9, 11, 9, 12, 5, 14, 11, 10, 18, 0, 4,
0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 10, 9, 8, 7, 12, 2, 13, 10, 11, 17, 0, 4,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 10, 8, 2, 0, 4, 13, 8, 12, 19, 0, 4,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 13, 3, 0, 0, 0, 0, 5, 8, 15, 0, 2, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 5, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 3, 0, 0
};
RadiotherapyData case4_beam2(13, 24, case4_beam2_matrix);
static const int case4_beam3_matrix[] = {
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 4, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 2, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 5, 4, 3, 0, 0, 0, 0, 0, 0, 1, 0,
0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 4, 4, 6, 3, 1, 0, 0, 5, 5, 0, 0, 1, 0,
1, 0, 0, 0, 11, 0, 9, 8, 5, 6, 3, 5, 6, 2, 0, 0, 1, 3, 4, 7, 0, 0, 0,
2, 2, 0, 0, 7, 11, 0, 6, 8, 5, 6, 2, 3, 0, 0, 0, 2, 1, 5, 3, 3, 0, 0,
1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 3, 1, 3, 2, 2, 0, 0,
1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 5, 7, 2, 0, 3, 1, 2, 0, 0,
1, 0, 6, 2, 4, 7, 3, 0, 0, 0, 3, 4, 6, 8, 6, 6, 4, 0, 2, 1, 3, 0, 2,
0, 7, 6, 7, 7, 13, 14, 9, 10, 6, 6, 8, 8, 9, 8, 6, 5, 0, 2, 0, 2, 0, 2,
0, 7, 8, 8, 8, 12, 12, 14, 10, 8, 7, 8, 7, 7, 7, 5, 6, 0, 1, 0, 2, 0, 2,
0, 0, 0, 1, 7, 20, 13, 8, 17, 11, 6, 6, 5, 6, 9, 7, 7, 0, 1, 0, 3, 0, 2,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 6, 5, 6, 7, 8, 8, 0, 1, 1, 4, 0, 2,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 8, 0, 3, 2, 4, 0, 2,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 4, 4, 5, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0
};
RadiotherapyData case4_beam3(18, 23, case4_beam3_matrix);
static const int case4_beam4_matrix[] = {
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 7, 1, 2, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 6, 0, 5, 0, 3, 1, 3, 1, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 7, 8, 10, 0, 2, 1, 4, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 8, 9, 8, 1, 2, 1, 4, 0, 2,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 11, 7, 6, 4, 9, 9, 7, 0, 2, 2, 3, 0, 0,
0, 0, 0, 0, 3, 17, 8, 9, 15, 14, 6, 10, 5, 5, 7, 5, 5, 1, 2, 3, 3, 0, 2,
0, 0, 2, 7, 12, 20, 19, 16, 12, 12, 12, 9, 8, 8, 5, 2, 5, 0, 2, 3, 4, 0, 3,
0, 12, 10, 13, 9, 15, 15, 11, 11, 14, 8, 10, 10, 10, 5, 4, 3, 0, 2, 4, 4, 0, 0,
0, 2, 13, 4, 6, 12, 10, 6, 4, 7, 5, 6, 8, 8, 5, 4, 2, 0, 3, 3, 4, 0, 0,
1, 0, 4, 1, 3, 0, 0, 0, 0, 0, 0, 0, 0, 2, 5, 3, 1, 0, 3, 3, 2, 0, 0,
2, 1, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 2, 0, 4, 4, 0, 0, 0,
2, 3, 0, 0, 13, 0, 2, 9, 0, 8, 7, 8, 2, 0, 0, 0, 4, 2, 6, 4, 4, 0, 0,
0, 0, 0, 0, 0, 0, 4, 7, 1, 3, 7, 9, 7, 4, 0, 0, 1, 7, 5, 5, 0, 1, 0,
0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 9, 7, 8, 7, 1, 0, 0, 0, 0, 0, 0, 1, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 11, 2, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 9, 6, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14, 7, 0, 0, 0, 0, 0, 0, 0
};
RadiotherapyData case4_beam4(17, 23, case4_beam4_matrix);
static const int case4_beam5_matrix[] = {
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 3, 0, 0, 0, 1, 4, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 8, 6, 0, 0, 0, 6, 2, 10, 0, 3, 0, 0,
3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 7, 9, 5, 6, 0, 12, 10, 7, 15, 0, 3, 0,
4, 0, 0, 0, 12, 0, 0, 0, 0, 9, 7, 10, 4, 4, 0, 8, 0, 15, 12, 10, 11, 0, 3, 0,
2, 0, 5, 12, 8, 0, 0, 9, 6, 14, 14, 8, 10, 8, 5, 5, 3, 18, 13, 12, 15, 0, 4, 0,
0, 19, 19, 15, 19, 1, 0, 17, 10, 14, 15, 13, 12, 9, 5, 8, 5, 20, 13, 13, 13, 0, 4, 1,
3, 3, 14, 0, 10, 0, 15, 8, 5, 9, 2, 5, 10, 11, 5, 9, 7, 20, 15, 11, 11, 0, 4, 0,
5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 8, 14, 9, 18, 11, 10, 11, 0, 4, 0,
0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 1, 0, 3, 4, 11, 12, 12, 13, 8, 11, 0, 4, 0,
0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 4, 0, 2, 0, 2, 10, 9, 13, 6, 0, 0, 2, 3, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 6, 4, 0, 0, 0, 0, 4, 0, 0
};
RadiotherapyData case4_beam5(12, 24, case4_beam5_matrix);
static const int case5_beam1_matrix[] = {
1, 2, 1, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2,
1, 2, 0, 0, 0, 0, 0, 0, 0, 4, 0, 11, 0, 0, 0, 1,
1, 2, 0, 0, 0, 0, 0, 0, 1, 9, 8, 1, 8, 4, 5, 0,
1, 2, 0, 0, 5, 0, 4, 4, 1, 7, 4, 5, 5, 5, 4, 0,
0, 1, 0, 8, 2, 2, 1, 1, 0, 0, 0, 0, 2, 5, 1, 1,
0, 0, 2, 2, 4, 4, 4, 2, 0, 0, 0, 0, 0, 6, 3, 1,
0, 1, 3, 2, 3, 5, 4, 1, 2, 2, 4, 2, 2, 6, 4, 1,
0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 4, 2, 0, 0, 0, 1,
0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 0, 0, 0, 0, 1,
0, 0, 1, 3, 3, 0, 2, 2, 1, 3, 6, 0, 0, 0, 0, 1,
0, 3, 2, 4, 7, 5, 2, 4, 4, 8, 0, 0, 2, 10, 3, 1,
0, 3, 3, 7, 9, 7, 4, 3, 0, 0, 0, 0, 0, 6, 4, 0,
2, 0, 1, 7, 0, 0, 0, 4, 0, 0, 0, 5, 0, 8, 3, 1,
2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 20, 6, 0, 2, 1, 1,
2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2
};
RadiotherapyData case5_beam1(15, 16, case5_beam1_matrix);
static const int case5_beam2_matrix[] = {
2, 2, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2,
2, 3, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2,
2, 3, 4, 0, 0, 0, 0, 5, 5, 5, 0, 0, 5, 0, 1, 0, 1,
2, 2, 4, 0, 0, 0, 0, 0, 2, 2, 3, 0, 3, 0, 1, 5, 0,
2, 2, 2, 0, 0, 0, 0, 0, 0, 8, 4, 0, 2, 2, 3, 8, 0,
3, 1, 1, 0, 0, 0, 3, 1, 2, 13, 14, 13, 4, 10, 2, 16, 0,
3, 2, 0, 0, 0, 0, 0, 0, 9, 19, 16, 6, 8, 18, 2, 9, 0,
3, 0, 0, 8, 8, 1, 6, 7, 6, 20, 8, 0, 0, 0, 0, 1, 2,
4, 2, 2, 17, 2, 0, 0, 0, 3, 13, 0, 1, 0, 1, 4, 0, 2,
2, 6, 0, 8, 0, 0, 3, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1,
0, 0, 5, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1,
0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2
};
RadiotherapyData case5_beam2(13, 17, case5_beam2_matrix);
static const int case5_beam3_matrix[] = {
1, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2,
1, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 5, 4, 1,
1, 2, 0, 0, 0, 0, 0, 0, 0, 10, 11, 5, 10, 3, 4, 1,
1, 2, 1, 2, 0, 0, 0, 3, 0, 0, 11, 5, 4, 0, 2, 0,
2, 1, 0, 9, 0, 2, 3, 0, 0, 0, 0, 0, 0, 0, 0, 1,
1, 3, 3, 0, 0, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2,
3, 0, 0, 4, 8, 6, 2, 7, 6, 9, 0, 0, 0, 0, 0, 2,
0, 0, 0, 12, 13, 11, 9, 12, 10, 7, 9, 5, 3, 10, 4, 0,
0, 0, 10, 14, 13, 10, 12, 15, 9, 11, 12, 8, 7, 8, 9, 0,
2, 0, 7, 13, 12, 12, 11, 14, 10, 10, 10, 1, 6, 7, 8, 0,
0, 1, 0, 9, 19, 11, 18, 14, 8, 0, 0, 0, 0, 7, 0, 0,
0, 0, 0, 0, 8, 20, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 2, 2, 1, 2
};
RadiotherapyData case5_beam3(14, 16, case5_beam3_matrix);
static const int case5_beam4_matrix[] = {
0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2,
0, 1, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2,
0, 0, 11, 5, 3, 3, 12, 10, 20, 1, 0, 4, 6, 2, 6, 0,
1, 0, 9, 7, 7, 10, 11, 8, 8, 18, 12, 8, 6, 4, 8, 0,
0, 0, 9, 10, 9, 10, 12, 7, 9, 7, 6, 9, 5, 5, 6, 0,
0, 0, 0, 6, 11, 7, 8, 7, 4, 10, 6, 9, 1, 0, 5, 1,
3, 1, 0, 0, 5, 1, 3, 2, 0, 0, 0, 0, 0, 0, 0, 2,
1, 3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1,
1, 2, 0, 0, 2, 0, 2, 0, 0, 3, 0, 1, 3, 0, 0, 1,
1, 2, 0, 0, 0, 0, 0, 0, 11, 1, 6, 6, 4, 0, 3, 0,
1, 2, 0, 0, 0, 0, 0, 2, 9, 6, 3, 8, 6, 0, 6, 1,
1, 1, 1, 0, 0, 0, 0, 0, 6, 2, 0, 4, 1, 1, 3, 1,
1, 1, 1, 0, 0, 0, 0, 0, 3, 0, 0, 6, 0, 1, 1, 1,
1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 10, 1, 1, 0, 1
};
RadiotherapyData case5_beam4(14, 16, case5_beam4_matrix);
static const int case5_beam5_matrix[] = {
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 4, 0, 0, 2,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1,
0, 0, 7, 8, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1,
2, 0, 9, 12, 3, 0, 1, 0, 0, 10, 0, 0, 0, 0, 0, 0, 1,
3, 0, 10, 11, 11, 1, 9, 3, 5, 0, 6, 3, 14, 12, 0, 0, 3,
2, 0, 5, 7, 12, 5, 9, 10, 4, 0, 0, 5, 20, 2, 5, 0, 0,
1, 4, 0, 2, 4, 7, 3, 5, 9, 0, 0, 15, 15, 17, 4, 1, 0,
2, 4, 0, 0, 0, 0, 0, 0, 6, 0, 5, 12, 9, 14, 6, 8, 0,
2, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 5, 6, 3, 0,
2, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0,
2, 2, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0,
2, 3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1
};
RadiotherapyData case5_beam5(12, 17, case5_beam5_matrix);
//@}
/// Radiotherapy instances
RadiotherapyData rds[] = {rd0, rd1,
case1_beam1,
case1_beam2,
case1_beam3,
case1_beam4,
case1_beam5,
case2_beam1,
case2_beam2,
case2_beam3,
case2_beam4,
case2_beam5,
case3_beam1,
case3_beam2,
case3_beam3,
case3_beam4,
case3_beam5,
case4_beam1,
case4_beam2,
case4_beam3,
case4_beam4,
case4_beam5,
case5_beam1,
case5_beam2,
case5_beam3,
case5_beam4,
case5_beam5
};
/// Number of Radiotherapy instances
const unsigned int rds_n = sizeof(rds) / sizeof(RadiotherapyData);
}
// STATISTICS: example-any
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