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;
const int maxN = 500 + 5;
const int bsSize = maxN * maxN + 10;
int n;
int a[maxN];
int cnt[maxN];
bitset<bsSize> dp[2][maxN], pre;
int main() {
//cin >> n;
n = 500;
int sum = 0;
int gc = 0;
for (int i = 1; i<=n; i++) {
// cin >> a[i];
a[i] = min(2*i - 1, 499);
gc = __gcd(a[i], gc);
}
for (int i = 1; i<=n; i++) {
a[i]/=gc;
if ((a[i] & 1) == 0) {
printf("0\n");
return 0;
}
if (cnt[a[i]] == 0) cnt[a[i]] = i;
sum+=a[i];
}
if (sum & 1) {
printf("0\n");
return 0;
}
for (int i = 1; i <= n + 1; i++) {
dp[0][i].set(0);
}
for (int i = 1; i<=n; i++) {
bool updated = false;
for (int j = 1; j <= n + 1; j++) {
if (j<= n && cnt[a[j]] != j) continue;
if (i == j) {
dp[i&1][j] = dp[(i&1) ^ 1][j];
} else {
if (updated) {
dp[i&1][j] = pre;
} else {
dp[i&1][j] = dp[(i&1) ^ 1][j] | (dp[(i&1) ^ 1][j] << a[i]);
if (i < j && !updated) {
pre = dp[i&1][j];
updated = true;
}
}
}
}
}
if (dp[n&1][n + 1][sum/2] == 0) {
printf("0\n");
return 0;
}
vector<int> ans;
for (int i = 1; i <= sum; i+=2) {
bool ok = true;
for (int j = 1; j<= n; j++) {
if (cnt[a[j]] != j) continue;
int totSum = sum - a[j] + i;
if (totSum % 2 == 1) ok = false;
if (dp[n&1][j][totSum/2] == 0) ok = false;
}
if (ok) ans.push_back(i);
}
cout << ans.size() << endl;
for (int i:ans) {
cout << i * gc << " ";
}
cout << endl;
}
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