ADDED SRM/673-U/1A.cpp
Index: SRM/673-U/1A.cpp
==================================================================
--- SRM/673-U/1A.cpp
+++ SRM/673-U/1A.cpp
@@ -0,0 +1,153 @@
+#include <iostream>
+#include <sstream>
+#include <iomanip>
+#include <vector>
+#include <string>
+#include <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;
+
+static const unsigned MODVAL = 1000000007;
+struct mint
+{
+ unsigned val;
+ mint():val(0){}
+ mint(int x):val(x%MODVAL) {}
+ mint(unsigned x):val(x%MODVAL) {}
+ mint(LL x):val(x%MODVAL) {}
+};
+mint& operator+=(mint& x, mint y) { return x = x.val+y.val; }
+mint& operator-=(mint& x, mint y) { return x = x.val-y.val+MODVAL; }
+mint& operator*=(mint& x, mint y) { return x = LL(x.val)*y.val; }
+mint operator+(mint x, mint y) { return x+=y; }
+mint operator-(mint x, mint y) { return x-=y; }
+mint operator*(mint x, mint y) { return x*=y; }
+
+class BearCavalry { public:
+ int countAssignments(vector <int> warriors, vector <int> horses)
+ {
+ mint total = 0;
+
+ const int W = warriors[0];
+ warriors.erase(warriors.begin());
+ sort(warriors.begin(), warriors.end());
+ sort(horses.begin(), horses.end());
+
+ for(int x=0; x<horses.size(); ++x) {
+ const int H = horses[x];
+ vector<int> hs(horses.begin(), horses.begin()+x);
+ hs.insert(hs.end(), horses.begin()+x+1, horses.end());
+ total += cnt(W*H, warriors, hs);
+ }
+ return total.val;
+ }
+
+ mint cnt(int TOP, vector<int> w, vector<int> h)
+ {
+ mint total = 1;
+ for(int i=0; i<w.size(); ++i) {
+ int W = w[w.size()-1-i];
+
+ int c=0;
+ for(int hk: h)
+ c += (hk*W < TOP);
+ c -= i;
+ if(c <= 0)
+ return 0;
+ total *= c;
+ }
+ return total;
+ }
+};
+
+// 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 int& Expected, const int& 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(_, BearCavalry().countAssignments(warriors, horses));}
+int main(){
+
+CASE(0)
+ int warriors_[] = {5,8,4,8};
+ vector <int> warriors(warriors_, warriors_+sizeof(warriors_)/sizeof(*warriors_));
+ int horses_[] = {19,40,25,20};
+ vector <int> horses(horses_, horses_+sizeof(horses_)/sizeof(*horses_));
+ int _ = 2;
+END
+CASE(1)
+ int warriors_[] = {1,1};
+ vector <int> warriors(warriors_, warriors_+sizeof(warriors_)/sizeof(*warriors_));
+ int horses_[] = {1,1};
+ vector <int> horses(horses_, horses_+sizeof(horses_)/sizeof(*horses_));
+ int _ = 0;
+END
+CASE(2)
+ int warriors_[] = {10,2,10};
+ vector <int> warriors(warriors_, warriors_+sizeof(warriors_)/sizeof(*warriors_));
+ int horses_[] = {100,150,200};
+ vector <int> horses(horses_, horses_+sizeof(horses_)/sizeof(*horses_));
+ int _ = 3;
+END
+CASE(3)
+ int warriors_[] = {10,20};
+ vector <int> warriors(warriors_, warriors_+sizeof(warriors_)/sizeof(*warriors_));
+ int horses_[] = {1,3};
+ vector <int> horses(horses_, horses_+sizeof(horses_)/sizeof(*horses_));
+ int _ = 1;
+END
+CASE(4)
+ int warriors_[] = {20,20,25,23,24,24,21};
+ vector <int> warriors(warriors_, warriors_+sizeof(warriors_)/sizeof(*warriors_));
+ int horses_[] = {20,25,25,20,25,23,20};
+ vector <int> horses(horses_, horses_+sizeof(horses_)/sizeof(*horses_));
+ int _ = 0;
+END
+CASE(5)
+ int warriors_[] = {970,800,800,800,800,800,800,800,800,800,800,800,800,800,800,800,800,800,800,800,800,800,800,800,800,
+800,800,800,800,800,800,800,800,800,800,800,800,800,800,800,800,800,800,800,800,800,800,800,800,800};
+ vector <int> warriors(warriors_, warriors_+sizeof(warriors_)/sizeof(*warriors_));
+ int horses_[] = {1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,
+1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,1000,
+1000,1000,1000,1000,1000,1000,1000,1000,1000,1000};
+ vector <int> horses(horses_, horses_+sizeof(horses_)/sizeof(*horses_));
+ int _ = 318608048;
+END
+/*
+CASE(6)
+ int warriors_[] = ;
+ vector <int> warriors(warriors_, warriors_+sizeof(warriors_)/sizeof(*warriors_));
+ int horses_[] = ;
+ vector <int> horses(horses_, horses_+sizeof(horses_)/sizeof(*horses_));
+ int _ = ;
+END
+CASE(7)
+ int warriors_[] = ;
+ vector <int> warriors(warriors_, warriors_+sizeof(warriors_)/sizeof(*warriors_));
+ int horses_[] = ;
+ vector <int> horses(horses_, horses_+sizeof(horses_)/sizeof(*horses_));
+ int _ = ;
+END
+*/
+}
+// END CUT HERE
ADDED SRM/673-U/1B-U.cpp
Index: SRM/673-U/1B-U.cpp
==================================================================
--- SRM/673-U/1B-U.cpp
+++ SRM/673-U/1B-U.cpp
@@ -0,0 +1,180 @@
+#include <iostream>
+#include <sstream>
+#include <iomanip>
+#include <vector>
+#include <string>
+#include <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;
+
+static unsigned MODVAL = 1000000007;
+struct mint
+{
+ unsigned val;
+ mint():val(0){}
+ mint(int x):val(x%MODVAL) {}
+ mint(unsigned x):val(x%MODVAL) {}
+ mint(LL x):val(x%MODVAL) {}
+};
+mint& operator+=(mint& x, mint y) { return x = x.val+y.val; }
+mint& operator-=(mint& x, mint y) { return x = x.val-y.val+MODVAL; }
+mint& operator*=(mint& x, mint y) { return x = LL(x.val)*y.val; }
+mint operator+(mint x, mint y) { return x+=y; }
+mint operator-(mint x, mint y) { return x-=y; }
+mint operator*(mint x, mint y) { return x*=y; }
+
+vector< vector<mint> > CP_;
+mint C(int n, int k) {
+ while( CP_.size() <= n ) {
+ int nn = CP_.size();
+ CP_.push_back(vector<mint>(nn+1,1));
+ for(int kk=1; kk<nn; ++kk)
+ CP_[nn][kk] = CP_[nn-1][kk-1] + CP_[nn-1][kk];
+ }
+ return k<0 || n<k ? 0 : CP_[n][k];
+}
+
+class BearPermutations { public:
+ int countPermutations(int N, int S, int MOD)
+ {
+ MODVAL = MOD;
+ return pat_below(N, S).val;
+ }
+
+ mint pat_below(int N, int S) {
+ mint total = 0;
+ for(int s=0; s<=S; ++s)
+ total += pat_exact(N, s);
+ return total;
+ }
+
+ vector<int> memo3;
+ int pat_exact(int N, int S) {
+ memo3.resize(101*101, -1);
+ auto key = N*101+S;
+ if(memo3[key]!=-1)
+ return memo3[key];
+
+ mint total = 0;
+ for(int c=0; c<N; ++c)
+ total += pat_center_exact(N, c, S);
+ return memo3[key] = total.val;
+ }
+
+ vector<int> memo2;
+ int pat_exact_shifted(int N, int S, int score_offset) {
+ memo2.resize(101*101*101, -1);
+ auto key = (N*101+score_offset)*101+S;
+ if(memo2[key]!=-1)
+ return memo2[key];
+
+ mint total = 0;
+ for(int c=0; c<N; ++c)
+ if(score_offset+c <= S)
+ total += pat_center_exact(N, c, S-(score_offset+c));
+ return memo2[key]=total.val;
+ }
+
+ vector<int> memo;
+ int pat_center_exact(int N, int c, int S)
+ {
+ c = min(c, N-1-c);
+
+ if(N==1)
+ return (S==0 ? 1 : 0);
+ if(c==0 || c==N-1)
+ return pat_exact(N-1, S);
+
+ memo.resize(101*101*101, -1);
+ auto key = (N*101+c)*101+S;
+ if(memo[key]!=-1)
+ return memo[key];
+
+ LL total = 0;
+ for(int cl=0; cl<c; ++cl)
+ for(int SS=0; SS<=S; ++SS)
+ total += ((LL)pat_center_exact(c, cl, SS) * pat_exact_shifted(N-c-1, S-SS, (c-cl)+1)) % MODVAL;
+ return memo[key] = (total * C(N-1, c)).val;
+ }
+};
+
+// 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 int& Expected, const int& 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(_, BearPermutations().countPermutations(N, S, MOD));}
+int main(){
+
+CASE(0)
+ int N = 3;
+ int S = 1;
+ int MOD = 71876209;
+ int _ = 4;
+END
+CASE(1)
+ int N = 4;
+ int S = 0;
+ int MOD = 1000003;
+ int _ = 8;
+END
+CASE(2)
+ int N = 4;
+ int S = 1;
+ int MOD = 483128897;
+ int _ = 8;
+END
+CASE(3)
+ int N = 5;
+ int S = 3;
+ int MOD = 907283243;
+ int _ = 82;
+END
+CASE(4)
+ int N = 5;
+ int S = 100;
+ int MOD = 101;
+ int _ = 19;
+END
+CASE(5)
+ int N = 20;
+ int S = 30;
+ int MOD = 3;
+ int _ = 2;
+END
+CASE(6)
+ int N = 100;
+ int S = 100;
+ int MOD = 1000000007;
+ int _ = -1;
+END
+/*
+CASE(7)
+ int N = ;
+ int S = ;
+ int MOD = ;
+ int _ = ;
+END
+*/
+}
+// END CUT HERE