#include<bits/stdc++.h>
using namespace std;
// define
#define execute cerr << " Time: " << fixed << setprecision(6) << (1.0 * clock() / CLOCKS_PER_SEC) << "s\n";
#define ll long long
#define ld double
#define ii pair<int,int>
#define se second
#define fi first
#define iii pair<int,ii>
#define all(v) v.begin(),v.end()
#define bit(x,i) (((x)>>(i))&1LL)
#define flip(x,i) ((x)^(1LL<<(i)))
#define ms(d,x) memset(d,x,sizeof(d))
#define sitingfake 1
#define orz 1
#define exist __exist
#define ends __ends
#define visit visited
#define left __left
#define right __right
//constant
const ll mod = 1e9 + 7;
const long long linf = 4557430888798830399;
const int inf = 1061109567;
const int maxarr = 1e6 + 5;
int dx[] = {0 , -1 , 0 , 1};
int dy[] = {-1 , 0 , 1 , 0};
template<typename T> bool maximize(T &a, const T &b)
{
if(a < b) {a = b; return 1;}
return 0;
}
template<typename T> bool minimize(T &a, const T &b)
{
if(a > b) {a = b; return 1;}
return 0;
}
inline void Plus(ll & a ,ll b)
{
b %= mod;
a += b;
if(a >= mod) a -= mod;
if(a < 0) a += mod;
return;
}
inline void Mul(ll & a, ll b)
{
a %= mod; b %= mod;
a *= b;
a %= mod;
return;
}
//code
const int maxn = 505;
int a[maxn];
int n;
int sum = 0;
bitset <250001> dp , ans , pre[maxn] , suf[maxn];
void solve(void)
{
cin >> n;
for(int i = 1; i <= n; i++)
{
cin >> a[i];
sum += a[i];
}
if(sum & 1)
{
cout << 0;
return;
}
dp[0] = 1;
for(int i = 1; i <= n; i++)
{
dp |= (dp << a[i]);
}
if(!dp[sum / 2])
{
cout << 0;
return;
}
pre[0][sum] = 1;
for(int i = 1; i <= n; i++)
{
pre[i] = pre[i - 1] | (pre[i - 1] >> (2 * a[i]));
}
suf[n + 1][sum] = 1;
for(int i = n; i >= 1; i--)
{
suf[i] = suf[i + 1] | (suf[i + 1] >> (2 * a[i]));
}
dp.reset();
ans.set();
for(int i = 1; i <= n; i++)
{
if(i > n / 2)
{
dp = pre[i - 1];
for(int j = i + 1; j <= n; j++)
{
dp |= (dp >> (2 * a[j]));
}
}
else
{
dp = suf[i + 1];
for(int j = i - 1; j >= 1; j--)
{
dp |= (dp >> (2 * a[j]));
}
}
dp >>= a[i];
ans &= dp;
dp.reset();
}
cout << ans.count() << "\n";
for(int i = 1; i <= 250000; i++)
{
if(ans[i])
{
cout << i << " ";
}
}
}
/**
4
1 315
**/
signed main()
{
ios_base::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
#define task ""
if(fopen(task".inp","r"))
{
freopen(task".inp","r",stdin);
freopen(task".out","w",stdout);
}
int tc; tc = 1;
while(tc--) solve();
//execute;
}
Compilation message (stderr)
bootfall.cpp: In function 'int main()':
bootfall.cpp:173:15: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
173 | freopen(task".inp","r",stdin);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~
bootfall.cpp:174:15: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
174 | freopen(task".out","w",stdout);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~
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