#include <iostream> #include <vector> #include <algorithm> #include <cmath> #include <queue> #include <stack> #include <cstdio> #include <set> #include <map> #include <string> #include <queue> #include <stack> #include <unordered_map> #include <bitset> using namespace std; typedef long long int LL; typedef long double LD; typedef vector<int> VI; typedef vector<LL> VLL; typedef vector<LD> VLD; typedef vector<string> VS; typedef pair<int, int> PII; typedef vector<PII> VPII; const int INF = 1000000001; const LD EPS = 10e-9; #define FOR(x, b, e) for(int x = b; x <= (e); ++x) #define FORD(x, b, e) for(int x = b; x >= (e); --x) #define REP(x, n) for(int x = 0; x < (n); ++x) #define VAR(v, n) __typeof(n) v = (n) #define ALL(c) (c).begin(), (c).end() #define SIZE(x) ((int)(x).size()) #define FORE(i, c) for(VAR(i, (c).begin()); i != (c).end(); ++i) #define MP make_pair #define PB push_back #define ST first #define ND second #define abs(a) ((a)<0 ? -(a) : (a)) #define max(a, b) ((a) > (b) ? (a) : (b)) #define min(a, b) ((a) < (b) ? (a) : (b)) const int MAX_N = 5005; const int MAX_A = 5005; const LL P = 1000000007; int n; LL res; LL a[MAX_N]; LL counts[MAX_N][MAX_A]; LL cumsCount[MAX_N][MAX_A]; LL largerCounts[MAX_N]; LL allSumsCount[MAX_N]; int main() { ios_base::sync_with_stdio(0); cin >> n; for(int i = 1; i <= n; ++i) { cin >> a[i]; } sort(a+1, a+n+1); counts[0][0] = 1; allSumsCount[0] = 1; for(int i = 1; i <= n; ++i) { for(int j = 0; j < MAX_A; ++j) { counts[i][j] = counts[i-1][j]; } for(int j = a[i]-1; j < MAX_A; ++j) { if(j < MAX_A-a[i]) { counts[i][j+a[i]] = (counts[i][j+a[i]] + counts[i-1][j]) % P; } else { largerCounts[i] = (largerCounts[i] + counts[i-1][j]) % P; } } largerCounts[i] = (largerCounts[i] + 2*largerCounts[i-1]) % P; cumsCount[i][0] = counts[i][0]; for(int j = 1; j < MAX_A; ++j) { cumsCount[i][j] = (cumsCount[i][j-1] + counts[i][j]) % P; } allSumsCount[i] = (cumsCount[i][MAX_A-1] + largerCounts[i]) % P; } res = (allSumsCount[n]+P-1) % P; cout << res << endl; return 0; }
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 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 | #include <iostream> #include <vector> #include <algorithm> #include <cmath> #include <queue> #include <stack> #include <cstdio> #include <set> #include <map> #include <string> #include <queue> #include <stack> #include <unordered_map> #include <bitset> using namespace std; typedef long long int LL; typedef long double LD; typedef vector<int> VI; typedef vector<LL> VLL; typedef vector<LD> VLD; typedef vector<string> VS; typedef pair<int, int> PII; typedef vector<PII> VPII; const int INF = 1000000001; const LD EPS = 10e-9; #define FOR(x, b, e) for(int x = b; x <= (e); ++x) #define FORD(x, b, e) for(int x = b; x >= (e); --x) #define REP(x, n) for(int x = 0; x < (n); ++x) #define VAR(v, n) __typeof(n) v = (n) #define ALL(c) (c).begin(), (c).end() #define SIZE(x) ((int)(x).size()) #define FORE(i, c) for(VAR(i, (c).begin()); i != (c).end(); ++i) #define MP make_pair #define PB push_back #define ST first #define ND second #define abs(a) ((a)<0 ? -(a) : (a)) #define max(a, b) ((a) > (b) ? (a) : (b)) #define min(a, b) ((a) < (b) ? (a) : (b)) const int MAX_N = 5005; const int MAX_A = 5005; const LL P = 1000000007; int n; LL res; LL a[MAX_N]; LL counts[MAX_N][MAX_A]; LL cumsCount[MAX_N][MAX_A]; LL largerCounts[MAX_N]; LL allSumsCount[MAX_N]; int main() { ios_base::sync_with_stdio(0); cin >> n; for(int i = 1; i <= n; ++i) { cin >> a[i]; } sort(a+1, a+n+1); counts[0][0] = 1; allSumsCount[0] = 1; for(int i = 1; i <= n; ++i) { for(int j = 0; j < MAX_A; ++j) { counts[i][j] = counts[i-1][j]; } for(int j = a[i]-1; j < MAX_A; ++j) { if(j < MAX_A-a[i]) { counts[i][j+a[i]] = (counts[i][j+a[i]] + counts[i-1][j]) % P; } else { largerCounts[i] = (largerCounts[i] + counts[i-1][j]) % P; } } largerCounts[i] = (largerCounts[i] + 2*largerCounts[i-1]) % P; cumsCount[i][0] = counts[i][0]; for(int j = 1; j < MAX_A; ++j) { cumsCount[i][j] = (cumsCount[i][j-1] + counts[i][j]) % P; } allSumsCount[i] = (cumsCount[i][MAX_A-1] + largerCounts[i]) % P; } res = (allSumsCount[n]+P-1) % P; cout << res << endl; return 0; } |