#include <bits/stdc++.h>
using namespace std;
#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 FORI(i,n) REP(i,1,n)
#define FOR(i,n) REP(i,0,int(n)-1)
#define mp make_pair
#define pb push_back
#define pii pair<int,int>
#define vi vector<int>
#define ll long long
#define SZ(x) int((x).size())
#define DBG(v) cerr << #v << " = " << (v) << endl;
#define FOREACH(i,t) for (typeof(t.begin()) i=t.begin(); i!=t.end(); i++)
#define fi first
#define se second
const int N = 5050;
const int mod = 1000000007;
int n;
int a[N];
int dp[N][N];
int main() {
scanf("%d", &n);
FOR(i,n) scanf("%d", &a[i]);
sort(a,a+n);
int S = a[n-1];
if (a[0]>1) {
printf("0\n");
return 0;
}
dp[0][0] = 2;
dp[0][1] = 1;
for (int i = 1; i < n; i++) {
for (int s = 0; s <= S; s++) {
dp[i][s] = dp[i-1][s];
}
for (int t = 0; t <= S; t++) {
dp[i][t] += dp[i-1][max(a[i]-1,t-a[i])];
if (dp[i][t] >= mod) dp[i][t] -= mod;
}
//cerr << i << " : ";
//for (int s = 0; s <= S; s++) cerr << dp[i][s] << " ";
//cerr << "\n";
}
printf("%d\n", (dp[n-1][0]+mod-1)%mod);
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 | #include <bits/stdc++.h> using namespace std; #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 FORI(i,n) REP(i,1,n) #define FOR(i,n) REP(i,0,int(n)-1) #define mp make_pair #define pb push_back #define pii pair<int,int> #define vi vector<int> #define ll long long #define SZ(x) int((x).size()) #define DBG(v) cerr << #v << " = " << (v) << endl; #define FOREACH(i,t) for (typeof(t.begin()) i=t.begin(); i!=t.end(); i++) #define fi first #define se second const int N = 5050; const int mod = 1000000007; int n; int a[N]; int dp[N][N]; int main() { scanf("%d", &n); FOR(i,n) scanf("%d", &a[i]); sort(a,a+n); int S = a[n-1]; if (a[0]>1) { printf("0\n"); return 0; } dp[0][0] = 2; dp[0][1] = 1; for (int i = 1; i < n; i++) { for (int s = 0; s <= S; s++) { dp[i][s] = dp[i-1][s]; } for (int t = 0; t <= S; t++) { dp[i][t] += dp[i-1][max(a[i]-1,t-a[i])]; if (dp[i][t] >= mod) dp[i][t] -= mod; } //cerr << i << " : "; //for (int s = 0; s <= S; s++) cerr << dp[i][s] << " "; //cerr << "\n"; } printf("%d\n", (dp[n-1][0]+mod-1)%mod); return 0; } |
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