This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
//#define int long long
#define FOR(i, a, b) for (int i = (a); i <= (b); i++)
#define FORD(i, a, b) for (int i = (b); i >= (a); i --)
#define REP(i, a) for (int i = 0; i < (a); ++i)
#define REPD(i, a) for (int i = (a) - 1; i >= 0; --i)
#define MASK(i) (1LL << (i))
#define BIT(x, i) (((x) >> (i)) & 1)
constexpr ll LINF = (1ll << 60);
constexpr int INF = (1ll << 30);
constexpr int Mod = 1e9 + 7;
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
/*
Phu Trong from Nguyen Tat Thanh High School for gifted student
*/
template <class X, class Y>
bool minimize(X &x, const Y &y){
X eps = 1e-9;
if (x > y + eps) {x = y; return 1;}
return 0;
}
template <class X, class Y>
bool maximize(X &x, const Y &y){
X eps = 1e-9;
if (x + eps < y) {x = y; return 1;}
return 0;
}
#define MAX 505
int nArr, sum = 0;
void add(int &x, int y){
x += y;
if(x >= Mod) x %= Mod;
while(x < 0) x += Mod;
}
int dp[MAX * MAX], A[MAX];
int total = 0;
void add(int x){
for (int s = total; s >= x; --s){
add(dp[s], dp[s - x]);
}
}
void sub(int x){
for (int s = x; s <= total; ++s){
add(dp[s], -dp[s - x]);
}
}
int cnt[MAX * MAX];
bool vis[MAX * MAX];
void process(void){
cin >> nArr;
for (int i = 1; i <= nArr; ++i) cin >> A[i], sum += A[i];
total = sum;
dp[0] = 1;
for (int i = 1; i <= nArr; ++i) add(A[i]);
if(dp[sum / 2] == 0) return void(cout << 0);
for (int i = 1; i <= nArr; ++i){
sub(A[i]);
sum -= A[i];
vector<int> rback;
for (int s = 1; s < total; ++s){
if(dp[s] > 0){
int dif = abs(sum - 2 * s);
if(!vis[dif]){
vis[dif] = 1;
cnt[dif]++;
rback.emplace_back(dif);
}
}
}
for (int&v : rback) vis[v] = 0;
add(A[i]);
sum += A[i];
}
vector<int> ans;
for (int s = 1; s < total; ++s){
if(cnt[s] == nArr){
ans.emplace_back(s);
}
}
cout << (int)ans.size() << '\n';
for(int&v : ans) cout << v << " ";
}
signed main(){
#define name "Whisper"
cin.tie(nullptr) -> sync_with_stdio(false);
//freopen(name".inp", "r", stdin);
//freopen(name".out", "w", stdout);
process();
return (0 ^ 0);
}
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