#include <iostream>
#include <climits>
#include <vector>
#include <algorithm>
using namespace std;
const int N = 5000 + 7;
const long long MOD = 1e9 + 7;
int n;
long long A[N];
long long S = 0;
long long Dp[N*N];
void init() {
cin >> n;
for (int i=1; i<=n; i++) {
cin >> A[i];
S += A[i];
}
sort(A+1, A+n+1);
}
void solve() {
for (int i=1; i<=n; i++) {
for (int j=S; j>A[i]; j--) {
if (A[i] <= j - A[i] + 1) {
Dp[j] = (Dp[j] + Dp[j-A[i]]) % MOD;
}
}
if (A[i] == 1) {
Dp[A[i]] = (Dp[A[i]] + 1) % MOD;
}
}
long long sum = 0;
for (int i=1; i<=S; i++) {
sum = (sum + Dp[i]) % MOD;
}
cout << sum << endl;
}
int main() {
ios_base::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
init();
solve();
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 | #include <iostream> #include <climits> #include <vector> #include <algorithm> using namespace std; const int N = 5000 + 7; const long long MOD = 1e9 + 7; int n; long long A[N]; long long S = 0; long long Dp[N*N]; void init() { cin >> n; for (int i=1; i<=n; i++) { cin >> A[i]; S += A[i]; } sort(A+1, A+n+1); } void solve() { for (int i=1; i<=n; i++) { for (int j=S; j>A[i]; j--) { if (A[i] <= j - A[i] + 1) { Dp[j] = (Dp[j] + Dp[j-A[i]]) % MOD; } } if (A[i] == 1) { Dp[A[i]] = (Dp[A[i]] + 1) % MOD; } } long long sum = 0; for (int i=1; i<=S; i++) { sum = (sum + Dp[i]) % MOD; } cout << sum << endl; } int main() { ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0); init(); solve(); return 0; } |
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