#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using Pii = pair<int,int>;
using Vi = vector<int>;
#define mp make_pair
#define pb push_back
#define x first
#define y second
#define rep(i,b,e) for (int i = (b); i < (e); i++)
#define each(a,x) for (auto& a : (x))
#define all(x) (x).begin(),(x).end()
#define sz(x) int((x).size())
#define endl '\n'
const int mod = 1e9 + 7;
const int maxVal = 5000;
int dp[maxVal+1][maxVal+1];
void solve() {
int n;
cin >> n;
Vi arr(n+1);
for (int i = 1; i <= n; i++) {
cin >> arr[i];
}
sort(all(arr));
dp[0][0] = 1;
for (int i = 1; i <= n; i++) {
for (int j = 0; j <= maxVal; j++) {
dp[i][j] = dp[i-1][j];
}
for (int j = arr[i] - 1; j <= maxVal; j++) {
int k = min(maxVal, j + arr[i]);
dp[i][k] += dp[i-1][j];
if(dp[i][k] >= mod) {
dp[i][k] -= mod;
}
}
}
int res = 0;
for (int i = 1; i <= maxVal; i++) {
res += dp[n][i];
if (res >= mod) {
res -= mod;
}
}
cout << res << endl;
}
int main() {
cin.sync_with_stdio(0); cin.tie(0);
cout << fixed << setprecision(10);
int t = 1;
//cin >> t;
for (int i = 0; i < t; i++) {
solve();
}
}
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 | #include <bits/stdc++.h> using namespace std; using ll = long long; using Pii = pair<int,int>; using Vi = vector<int>; #define mp make_pair #define pb push_back #define x first #define y second #define rep(i,b,e) for (int i = (b); i < (e); i++) #define each(a,x) for (auto& a : (x)) #define all(x) (x).begin(),(x).end() #define sz(x) int((x).size()) #define endl '\n' const int mod = 1e9 + 7; const int maxVal = 5000; int dp[maxVal+1][maxVal+1]; void solve() { int n; cin >> n; Vi arr(n+1); for (int i = 1; i <= n; i++) { cin >> arr[i]; } sort(all(arr)); dp[0][0] = 1; for (int i = 1; i <= n; i++) { for (int j = 0; j <= maxVal; j++) { dp[i][j] = dp[i-1][j]; } for (int j = arr[i] - 1; j <= maxVal; j++) { int k = min(maxVal, j + arr[i]); dp[i][k] += dp[i-1][j]; if(dp[i][k] >= mod) { dp[i][k] -= mod; } } } int res = 0; for (int i = 1; i <= maxVal; i++) { res += dp[n][i]; if (res >= mod) { res -= mod; } } cout << res << endl; } int main() { cin.sync_with_stdio(0); cin.tie(0); cout << fixed << setprecision(10); int t = 1; //cin >> t; for (int i = 0; i < t; i++) { solve(); } } |
English