#include <bits/stdc++.h>
#define FOR(i,a,b) for(int i=a;i<=(int)b;i++)
#define FORD(i,a,b) for(int i=a;i>=(int)b;i--)
#define fi first
#define se second
#define pb push_back
#define ALL(A) A.begin(), A.end()
#define BIT(mask,i) ((mask>>(i))&1)
#define ll long long
using namespace std;
template <class A, class B> bool maximize(A &a, const B b) {if(a<b){a = b;return 1;} return 0;}
template <class A, class B> bool minimize(A &a, const B b) {if(a>b){a = b;return 1;} return 0;}
int n;
int a[505];
void init()
{
cin >> n;
FOR(i, 1, n) cin >> a[i];
}
bitset <500 * 500 + 1> dp, f[502];
void process()
{
int S = 0;
FOR(i, 1, n) S+= a[i];
if(S & 1) return void(cout << 0);
dp[0] = 1;
FOR(i, 1, n)dp |= dp << a[i];
if(dp[S / 2] == 0) return void(cout << 0);
int mx = *max_element(a + 1, a + 1 + n);
FOR(i, 1, n)
{
dp.reset();
dp[0] = 1;
FOR(j, 1, n) if(i != j) dp |= dp << a[j];
FOR(j, 0, S) if(dp[j] == 0) f[i][j] = 1;
}
vector <int> ans;
FOR(i, 0, S - mx)
{
ans.push_back(i);
FOR(j, 1, n)
{
int sum = S - a[j] + i;
if(sum & 1)
{
ans.pop_back();
break;
}
if(f[j].test(sum >> 1) && ((sum >> 1) < i || f[j].test((sum >> 1) - i)))
{
ans.pop_back();
break;
}
}
}
cout << ans.size() << '\n';
for(int &val : ans) cout << val << " ";
}
signed main()
{
ios_base::sync_with_stdio(false);
cin.tie(nullptr);
#define Hori "concacs"
if(fopen(Hori".inp", "r"))
{
freopen(Hori".inp", "r", stdin);
freopen(Hori".out", "w", stdout);
}
init();
process();
return 0;
}
Compilation message (stderr)
bootfall.cpp: In function 'int main()':
bootfall.cpp:66:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
66 | freopen(Hori".inp", "r", stdin);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~
bootfall.cpp:67:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
67 | freopen(Hori".out", "w", stdout);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~
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