#include <bits/stdc++.h>
using namespace std;
#define PII pair<int, int>
#define VI vector<int>
#define VPII vector<PII>
#define LL long long
#define LD long double
#define f first
#define s second
#define MP make_pair
#define PB push_back
#define endl '\n' // UWAGA
#define ALL(c) (c).begin(), (c).end()
#define SIZ(c) (int)(c).size()
#define REP(i, n) for(int i = 0; i < (int)(n); ++i)
#define FOR(i, b, e) for(int i = (b); i <= (int)(e); ++i)
#define FORD(i, b, e) for(int i = (b); i >= (int)(e); --i)
#define random_shuffle(V) shuffle(V, rng)
#define sim template<class n
sim, class s> ostream & operator << (ostream &p, pair<n, s> x)
{return p << "<" << x.f << ", " << x.s << ">";}
sim> auto operator << (ostream &p, n y) ->
typename enable_if<!is_same<n, string>::value, decltype(y.begin(), p)>::type
{int o = 0; p << "{"; for(auto c: y) {if(o++) p << ", "; p << c;} return p << "}";}
void dor() {cerr << endl;}
sim, class...s> void dor(n p, s...y) {cerr << p << " "; dor(y...);}
sim, class s> void mini(n &p, s y) {if(p>y) p = y;}
sim, class s> void maxi(n &p, s y) {if(p<y) p = y;}
#ifdef DEB
#define debug(...) dor(__FUNCTION__, ":", __LINE__, ": ", __VA_ARGS__)
#else
#define debug(...)
#endif
#define I(x) #x " =", (x), " "
#define A(a, i) #a "[" #i " =", i, "] =", a[i], " "
mt19937 rng((unsigned int)chrono::steady_clock::now().time_since_epoch().count());
int R(int a, int b) {return (int)(rng()%(b-a+1)) + a;}
// #pragma GCC optimize("Ofast")
// while (clock()<=69*CLOCKS_PER_SEC)
const int MXN = 5005;
int in[MXN];
int dp[MXN][MXN]; // do itego miejsca podzbiory o sumie s - ile jest takich które spełniają założenia
int mod = 1e9+7;
inline void nor(int &x)
{
if(x >= mod)x -= mod;
if(x < 0)x += mod;
}
int main()
{
ios_base::sync_with_stdio(0);
int n;
cin >> n;
FOR(i, 1, n)
cin >> in[i];
sort(in+1, in+n+1);
dp[0][0] = 1;
FOR(i, 1, n)
{
FOR(j, in[i] - 1, 5001)
{
dp[i][min(j+in[i], 5001)] += dp[i-1][j];
nor(dp[i][min(j+in[i], 5001)]);
}
FOR(j, 0, 5001)
{
dp[i][j] += dp[i-1][j];
nor(dp[i][j]);
}
}
int res = 0;
FOR(i, 1, 5001)
{
res += dp[n][i];
nor(res);
}
cout << res << endl;
}
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 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 | #include <bits/stdc++.h> using namespace std; #define PII pair<int, int> #define VI vector<int> #define VPII vector<PII> #define LL long long #define LD long double #define f first #define s second #define MP make_pair #define PB push_back #define endl '\n' // UWAGA #define ALL(c) (c).begin(), (c).end() #define SIZ(c) (int)(c).size() #define REP(i, n) for(int i = 0; i < (int)(n); ++i) #define FOR(i, b, e) for(int i = (b); i <= (int)(e); ++i) #define FORD(i, b, e) for(int i = (b); i >= (int)(e); --i) #define random_shuffle(V) shuffle(V, rng) #define sim template<class n sim, class s> ostream & operator << (ostream &p, pair<n, s> x) {return p << "<" << x.f << ", " << x.s << ">";} sim> auto operator << (ostream &p, n y) -> typename enable_if<!is_same<n, string>::value, decltype(y.begin(), p)>::type {int o = 0; p << "{"; for(auto c: y) {if(o++) p << ", "; p << c;} return p << "}";} void dor() {cerr << endl;} sim, class...s> void dor(n p, s...y) {cerr << p << " "; dor(y...);} sim, class s> void mini(n &p, s y) {if(p>y) p = y;} sim, class s> void maxi(n &p, s y) {if(p<y) p = y;} #ifdef DEB #define debug(...) dor(__FUNCTION__, ":", __LINE__, ": ", __VA_ARGS__) #else #define debug(...) #endif #define I(x) #x " =", (x), " " #define A(a, i) #a "[" #i " =", i, "] =", a[i], " " mt19937 rng((unsigned int)chrono::steady_clock::now().time_since_epoch().count()); int R(int a, int b) {return (int)(rng()%(b-a+1)) + a;} // #pragma GCC optimize("Ofast") // while (clock()<=69*CLOCKS_PER_SEC) const int MXN = 5005; int in[MXN]; int dp[MXN][MXN]; // do itego miejsca podzbiory o sumie s - ile jest takich które spełniają założenia int mod = 1e9+7; inline void nor(int &x) { if(x >= mod)x -= mod; if(x < 0)x += mod; } int main() { ios_base::sync_with_stdio(0); int n; cin >> n; FOR(i, 1, n) cin >> in[i]; sort(in+1, in+n+1); dp[0][0] = 1; FOR(i, 1, n) { FOR(j, in[i] - 1, 5001) { dp[i][min(j+in[i], 5001)] += dp[i-1][j]; nor(dp[i][min(j+in[i], 5001)]); } FOR(j, 0, 5001) { dp[i][j] += dp[i-1][j]; nor(dp[i][j]); } } int res = 0; FOR(i, 1, 5001) { res += dp[n][i]; nor(res); } cout << res << endl; } |
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