#include <bits/stdc++.h>
#define REP(i,n) for(int _n=(n), i=0;i<_n;++i)
#define FOR(i,a,b) for(int i=(a),_b=(b);i<=_b;++i)
#define FORD(i,a,b) for(int i=(a),_b=(b);i>=_b;--i)
using std::vector;
void init_io() {
std::cin.tie(nullptr);
std::ios::sync_with_stdio(false);
}
template<unsigned MOD>
class Modulo {
public:
Modulo(unsigned x=0):v(x) {}
unsigned get() const { return v; }
Modulo operator+(Modulo b) const {
unsigned res = v+b.v;
if (res >= MOD) res -= MOD;
return res;
}
void operator+=(Modulo b) { *this = *this + b; }
Modulo operator-(Modulo b) const { return *this + Modulo(MOD-b.v); }
void operator-=(Modulo b) { *this = *this - b; }
private:
unsigned v;
};
using Mod = Modulo<1'000'000'007>;
vector<int> boxes;
void read_input() {
size_t n;
std::cin >> n;
boxes.reserve(n);
REP(i,n) {
int x;
std::cin >> x;
boxes.push_back(x);
}
std::sort(boxes.begin(), boxes.end());
}
Mod calc_ways() {
int range = std::max(2, boxes.back());
std::vector<Mod> ways_at_least(range);
std::vector<Mod> new_ways_at_least(range);
ways_at_least[0] = 1;
for(int box : boxes) {
// need at least box-1 previously
REP(x, range) {
new_ways_at_least[x] = ways_at_least[x] + ways_at_least[std::max(box-1, x-box)];
}
ways_at_least.swap(new_ways_at_least);
}
return ways_at_least[1];
}
int main() {
init_io();
read_input();
Mod res = calc_ways();
std::cout << res.get() << "\n";
}
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 | #include <bits/stdc++.h> #define REP(i,n) for(int _n=(n), i=0;i<_n;++i) #define FOR(i,a,b) for(int i=(a),_b=(b);i<=_b;++i) #define FORD(i,a,b) for(int i=(a),_b=(b);i>=_b;--i) using std::vector; void init_io() { std::cin.tie(nullptr); std::ios::sync_with_stdio(false); } template<unsigned MOD> class Modulo { public: Modulo(unsigned x=0):v(x) {} unsigned get() const { return v; } Modulo operator+(Modulo b) const { unsigned res = v+b.v; if (res >= MOD) res -= MOD; return res; } void operator+=(Modulo b) { *this = *this + b; } Modulo operator-(Modulo b) const { return *this + Modulo(MOD-b.v); } void operator-=(Modulo b) { *this = *this - b; } private: unsigned v; }; using Mod = Modulo<1'000'000'007>; vector<int> boxes; void read_input() { size_t n; std::cin >> n; boxes.reserve(n); REP(i,n) { int x; std::cin >> x; boxes.push_back(x); } std::sort(boxes.begin(), boxes.end()); } Mod calc_ways() { int range = std::max(2, boxes.back()); std::vector<Mod> ways_at_least(range); std::vector<Mod> new_ways_at_least(range); ways_at_least[0] = 1; for(int box : boxes) { // need at least box-1 previously REP(x, range) { new_ways_at_least[x] = ways_at_least[x] + ways_at_least[std::max(box-1, x-box)]; } ways_at_least.swap(new_ways_at_least); } return ways_at_least[1]; } int main() { init_io(); read_input(); Mod res = calc_ways(); std::cout << res.get() << "\n"; } |
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