// tested by Hightail: https://github.com/dj3500/hightail #include <bits/stdc++.h> using namespace std; #define pb push_back #define INF 1001001001 #define FOR(i,n) for(int i=0;(i)<(n);++(i)) #define FORI(i,n) for(int i=1;(i)<=(n);++(i)) #define mp make_pair #define pii pair<int,int> #define ll long long #define vi vector<int> #define SZ(x) ((int)((x).size())) #define fi first #define se second #define wez(n) int n; scanf("%d",&(n)); #define wez2(n,m) int n,m; scanf("%d %d",&(n),&(m)); #define wez3(n,m,k) int n,m,k; scanf("%d %d %d",&(n),&(m),&(k)); inline void pisz(int n) { printf("%d\n",n); } template<typename T,typename TT> ostream& operator<<(ostream &s,pair<T,TT> t) {return s<<"("<<t.first<<","<<t.second<<")";} template<typename T> ostream& operator<<(ostream &s,vector<T> t){FOR(i,SZ(t))s<<t[i]<<" ";return s; } #define DBG(vari) cout<<"["<<__LINE__<<"] "<<#vari<<" = "<<(vari)<<endl; #define ALL(t) t.begin(),t.end() #define FOREACH(i,t) for (__typeof(t.begin()) i=t.begin(); i!=t.end(); i++) #define TESTS wez(testow)while(testow--) #define REP(i,a,b) for(int i=a;i<=b;++i) #define REPD(i,a,b) for(int (i)=(a); (i)>=(b);--i) #define REMAX(a,b) (a)=max((a),(b)); #define REMIN(a,b) (a)=min((a),(b)); #define IOS ios_base::sync_with_stdio(0); const int mod = 1000000007, N = 5005; ll dp[N][N]; int a[N]; int main () { wez(n); FORI(i,n) scanf("%d", a+i); sort(a+1,a+n+1); dp[0][0] = 1; FORI(i,n) { REP(j,0,5000) dp[i][j] = dp[i-1][j]; // what if we pick a[i]? REP(j,a[i]-1,5000) dp[i][min(5000,j+a[i])] += dp[i-1][j]; REP(j,0,5000) dp[i][j] %= mod; } ll res = 0; REP(j,0,5000) res += dp[n][j]; --res; res %= mod; if (res < 0) res += mod; pisz(res); }
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 | // tested by Hightail: https://github.com/dj3500/hightail #include <bits/stdc++.h> using namespace std; #define pb push_back #define INF 1001001001 #define FOR(i,n) for(int i=0;(i)<(n);++(i)) #define FORI(i,n) for(int i=1;(i)<=(n);++(i)) #define mp make_pair #define pii pair<int,int> #define ll long long #define vi vector<int> #define SZ(x) ((int)((x).size())) #define fi first #define se second #define wez(n) int n; scanf("%d",&(n)); #define wez2(n,m) int n,m; scanf("%d %d",&(n),&(m)); #define wez3(n,m,k) int n,m,k; scanf("%d %d %d",&(n),&(m),&(k)); inline void pisz(int n) { printf("%d\n",n); } template<typename T,typename TT> ostream& operator<<(ostream &s,pair<T,TT> t) {return s<<"("<<t.first<<","<<t.second<<")";} template<typename T> ostream& operator<<(ostream &s,vector<T> t){FOR(i,SZ(t))s<<t[i]<<" ";return s; } #define DBG(vari) cout<<"["<<__LINE__<<"] "<<#vari<<" = "<<(vari)<<endl; #define ALL(t) t.begin(),t.end() #define FOREACH(i,t) for (__typeof(t.begin()) i=t.begin(); i!=t.end(); i++) #define TESTS wez(testow)while(testow--) #define REP(i,a,b) for(int i=a;i<=b;++i) #define REPD(i,a,b) for(int (i)=(a); (i)>=(b);--i) #define REMAX(a,b) (a)=max((a),(b)); #define REMIN(a,b) (a)=min((a),(b)); #define IOS ios_base::sync_with_stdio(0); const int mod = 1000000007, N = 5005; ll dp[N][N]; int a[N]; int main () { wez(n); FORI(i,n) scanf("%d", a+i); sort(a+1,a+n+1); dp[0][0] = 1; FORI(i,n) { REP(j,0,5000) dp[i][j] = dp[i-1][j]; // what if we pick a[i]? REP(j,a[i]-1,5000) dp[i][min(5000,j+a[i])] += dp[i-1][j]; REP(j,0,5000) dp[i][j] %= mod; } ll res = 0; REP(j,0,5000) res += dp[n][j]; --res; res %= mod; if (res < 0) res += mod; pisz(res); } |