#include <bits/stdc++.h>
using namespace std;
typedef unsigned long long ull;
typedef long long ll;
typedef long double ld;
typedef pair<int, int> PII;
typedef pair<ll, int> PILL;
typedef pair<ll, ll> PLL;
const int MAX_N = 3e5+5;
const int M = 3e4+5;
const ll INF = (ll)(1e18);
const int inf = 2e9;
const ll MOD = 1000000007LL;
int main() {
ios_base::sync_with_stdio(0);
cin.tie(0);
int n; cin >> n;
int totalSum = 0;
vector<int> a(n+1);
for (int i = 1; i <= n; i++) {
cin >> a[i];
totalSum += a[i];
}
vector<ll> dp(totalSum+1, 0LL);
dp[0] = 1LL;
sort(a.begin(), a.end());
int maxi = 0;
for (int i = 1; i <= n; i++) {
vector<ll> newDp = dp;
int newMaxi = maxi;
for (int sum = a[i] - 1; sum <= maxi; sum++) {
newDp[sum+a[i]] += dp[sum];
newDp[sum+a[i]] %= MOD;
newMaxi = max(newMaxi, sum + a[i]);
}
dp = newDp;
maxi = newMaxi;
/*cout << "D: " << newMaxi << '\n';
for (ll x: dp) cout << x << ' ';
cout << '\n';*/
}
ll ans = 0LL;
for (int i = 1; i <= totalSum; i++) {
ans += dp[i];
ans %= MOD;
}
cout << ans << '\n';
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 | #include <bits/stdc++.h> using namespace std; typedef unsigned long long ull; typedef long long ll; typedef long double ld; typedef pair<int, int> PII; typedef pair<ll, int> PILL; typedef pair<ll, ll> PLL; const int MAX_N = 3e5+5; const int M = 3e4+5; const ll INF = (ll)(1e18); const int inf = 2e9; const ll MOD = 1000000007LL; int main() { ios_base::sync_with_stdio(0); cin.tie(0); int n; cin >> n; int totalSum = 0; vector<int> a(n+1); for (int i = 1; i <= n; i++) { cin >> a[i]; totalSum += a[i]; } vector<ll> dp(totalSum+1, 0LL); dp[0] = 1LL; sort(a.begin(), a.end()); int maxi = 0; for (int i = 1; i <= n; i++) { vector<ll> newDp = dp; int newMaxi = maxi; for (int sum = a[i] - 1; sum <= maxi; sum++) { newDp[sum+a[i]] += dp[sum]; newDp[sum+a[i]] %= MOD; newMaxi = max(newMaxi, sum + a[i]); } dp = newDp; maxi = newMaxi; /*cout << "D: " << newMaxi << '\n'; for (ll x: dp) cout << x << ' '; cout << '\n';*/ } ll ans = 0LL; for (int i = 1; i <= totalSum; i++) { ans += dp[i]; ans %= MOD; } cout << ans << '\n'; return 0; } |
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