Submission #546209

# Submission time Handle Problem Language Result Execution time Memory
546209 2022-04-06T16:17:48 Z SmolBrain Bootfall (IZhO17_bootfall) C++17
44 / 100
1000 ms 2888 KB
// Om Namah Shivaya
// GM in 119 days

#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace std;
using namespace __gnu_pbds;

template <class T> using Tree = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;

typedef long long int ll;
typedef long double ld;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;

#define fastio ios_base::sync_with_stdio(false); cin.tie(NULL)
#define endl '\n'
#define pb push_back
#define conts continue
#define all(a) a.begin(), a.end()
#define rall(a) a.rbegin(), a.rend()
#define yes cout << "YES" << endl
#define no cout << "NO" << endl
#define ff first
#define ss second
#define ceil2(x,y) ((x+y-1) / (y))
#define sz(a) a.size()
#define setbits(x) __builtin_popcountll(x)
#ifndef ONLINE_JUDGE
#define debug(x) cout << #x <<" = "; print(x); cout << endl
#else
#define debug(x)
#endif

#define rep(i,n) for(int i = 0; i < n; ++i)
#define rep1(i,n) for(int i = 1; i <= n; ++i)
#define rev(i,s,e) for(int i = s; i >= e; --i)
#define trav(i,a) for(auto &i : a)

bool iseven(ll n) {if ((n & 1) == 0) return true; return false;}

void print(ll t) {cout << t;}
void print(int t) {cout << t;}
void print(string t) {cout << t;}
void print(char t) {cout << t;}
void print(double t) {cout << t;}
void print(ld t) {cout << t;}

template <class T, class V> void print(pair <T, V> p);
template <class T> void print(vector <T> v);
template <class T> void print(set <T> v);
template <class T, class V> void print(map <T, V> v);
template <class T> void print(multiset <T> v);
template <class T, class V> void print(pair <T, V> p) {cout << "{"; print(p.ff); cout << ","; print(p.ss); cout << "}";}
template <class T> void print(vector <T> v) {cout << "[ "; for (T i : v) {print(i); cout << " ";} cout << "]";}
template <class T> void print(set <T> v) {cout << "[ "; for (T i : v) {print(i); cout << " ";} cout << "]";}
template <class T> void print(multiset <T> v) {cout << "[ "; for (T i : v) {print(i); cout << " ";} cout << "]";}
template <class T, class V> void print(map <T, V> v) {cout << "[ "; for (auto i : v) {print(i); cout << " ";} cout << "]";}
template<typename T> void amin(T &a, T b) { a = min(a, b); }
template<typename T> void amax(T &a, T b) { a = max(a, b); }

void usaco(string filename) {
    freopen((filename + ".in").c_str(), "r", stdin);
    freopen((filename + ".out").c_str(), "w", stdout);
}

const int MOD = 1e9 + 7;
const int maxn = 500 * 500 + 1;
const int inf1 = 1e9 + 5;
const ll inf2 = ll(1e18) + 5;

void solve(int test_case)
{
    // thanks to the 1st sol here (Mr.Francois Vogel's sol) for providing me the sol intuition: https://usaco.guide/problem-solutions/
    int n; cin >> n;
    vector<int> a(n);
    rep(i, n) cin >> a[i];

    bitset<maxn> b;
    b[0] = 1;

    rep(i, n) {
        b |= (b << a[i]);
    }

    int sum = accumulate(all(a), 0);

    if (sum & 1) {
        cout << 0 << endl;
        return;
    }

    if (b[sum / 2] == 0) {
        cout << 0 << endl;
        return;
    }

    vector<int> cnt(maxn);
    vector<int> valid;
    rep1(i, maxn - 1) valid.pb(i);
    vector<bool> invalid(maxn);

    rep(i, n) {
        bitset<maxn> curr;
        curr[0] = 1;
        sum = 0;

        rep(j, n) {
            if (j == i) conts;

            curr |= (curr << a[j]);
            sum += a[j];
        }

        trav(j, valid) {
            // iterating over all possible values for tina
            int sum2 = sum + j;
            if (sum2 & 1) {
                invalid[j] = 1;
                conts;
            }

            if (curr[sum2 / 2]) {
                cnt[j]++;
            }
            else if (sum2 / 2 - j >= 0) {
                if (curr[sum2 / 2 - j]) {
                    cnt[j]++;
                }
                else {
                    invalid[j] = 1;
                }
            }
            else {
                invalid[j] = 1;
            }
        }

        vector<int> valid2;
        trav(j, valid) if (!invalid[j]) valid2.pb(j);

        valid = valid2;
    }

    cout << maxn - 1 - count(all(invalid), 1) << endl;

    rep1(i, maxn - 1) {
        if (!invalid[i]) {
            cout << i << " ";
        }
    }

    cout << endl;
}

int main()
{
    fastio;

    int t = 1;
    // cin >> t;
    rep1(i, t) {
        solve(i);
    }

    return 0;
}

Compilation message

bootfall.cpp: In function 'void usaco(std::string)':
bootfall.cpp:64:12: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
   64 |     freopen((filename + ".in").c_str(), "r", stdin);
      |     ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
bootfall.cpp:65:12: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
   65 |     freopen((filename + ".out").c_str(), "w", stdout);
      |     ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 4 ms 2516 KB Output is correct
2 Correct 4 ms 2516 KB Output is correct
3 Correct 0 ms 340 KB Output is correct
4 Correct 4 ms 2516 KB Output is correct
5 Correct 5 ms 2516 KB Output is correct
6 Correct 4 ms 2516 KB Output is correct
7 Correct 4 ms 2516 KB Output is correct
8 Correct 5 ms 2516 KB Output is correct
9 Correct 5 ms 2516 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 4 ms 2516 KB Output is correct
2 Correct 4 ms 2516 KB Output is correct
3 Correct 0 ms 340 KB Output is correct
4 Correct 4 ms 2516 KB Output is correct
5 Correct 5 ms 2516 KB Output is correct
6 Correct 4 ms 2516 KB Output is correct
7 Correct 4 ms 2516 KB Output is correct
8 Correct 5 ms 2516 KB Output is correct
9 Correct 5 ms 2516 KB Output is correct
10 Correct 11 ms 2516 KB Output is correct
11 Correct 10 ms 2516 KB Output is correct
12 Correct 11 ms 2516 KB Output is correct
13 Correct 9 ms 2516 KB Output is correct
14 Correct 10 ms 2516 KB Output is correct
15 Correct 10 ms 2516 KB Output is correct
16 Correct 12 ms 2516 KB Output is correct
17 Correct 7 ms 2516 KB Output is correct
18 Correct 8 ms 2516 KB Output is correct
19 Correct 10 ms 2516 KB Output is correct
20 Correct 11 ms 2516 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 4 ms 2516 KB Output is correct
2 Correct 4 ms 2516 KB Output is correct
3 Correct 0 ms 340 KB Output is correct
4 Correct 4 ms 2516 KB Output is correct
5 Correct 5 ms 2516 KB Output is correct
6 Correct 4 ms 2516 KB Output is correct
7 Correct 4 ms 2516 KB Output is correct
8 Correct 5 ms 2516 KB Output is correct
9 Correct 5 ms 2516 KB Output is correct
10 Correct 11 ms 2516 KB Output is correct
11 Correct 10 ms 2516 KB Output is correct
12 Correct 11 ms 2516 KB Output is correct
13 Correct 9 ms 2516 KB Output is correct
14 Correct 10 ms 2516 KB Output is correct
15 Correct 10 ms 2516 KB Output is correct
16 Correct 12 ms 2516 KB Output is correct
17 Correct 7 ms 2516 KB Output is correct
18 Correct 8 ms 2516 KB Output is correct
19 Correct 10 ms 2516 KB Output is correct
20 Correct 11 ms 2516 KB Output is correct
21 Correct 37 ms 2524 KB Output is correct
22 Correct 49 ms 2524 KB Output is correct
23 Correct 24 ms 2544 KB Output is correct
24 Correct 85 ms 2536 KB Output is correct
25 Correct 75 ms 2532 KB Output is correct
26 Correct 84 ms 2528 KB Output is correct
27 Correct 87 ms 2524 KB Output is correct
28 Correct 83 ms 2516 KB Output is correct
29 Correct 84 ms 2528 KB Output is correct
30 Correct 83 ms 2516 KB Output is correct
31 Correct 85 ms 2632 KB Output is correct
32 Correct 84 ms 2520 KB Output is correct
33 Correct 81 ms 2516 KB Output is correct
34 Correct 84 ms 2516 KB Output is correct
35 Correct 84 ms 2516 KB Output is correct
36 Correct 84 ms 2520 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 4 ms 2516 KB Output is correct
2 Correct 4 ms 2516 KB Output is correct
3 Correct 0 ms 340 KB Output is correct
4 Correct 4 ms 2516 KB Output is correct
5 Correct 5 ms 2516 KB Output is correct
6 Correct 4 ms 2516 KB Output is correct
7 Correct 4 ms 2516 KB Output is correct
8 Correct 5 ms 2516 KB Output is correct
9 Correct 5 ms 2516 KB Output is correct
10 Correct 11 ms 2516 KB Output is correct
11 Correct 10 ms 2516 KB Output is correct
12 Correct 11 ms 2516 KB Output is correct
13 Correct 9 ms 2516 KB Output is correct
14 Correct 10 ms 2516 KB Output is correct
15 Correct 10 ms 2516 KB Output is correct
16 Correct 12 ms 2516 KB Output is correct
17 Correct 7 ms 2516 KB Output is correct
18 Correct 8 ms 2516 KB Output is correct
19 Correct 10 ms 2516 KB Output is correct
20 Correct 11 ms 2516 KB Output is correct
21 Correct 37 ms 2524 KB Output is correct
22 Correct 49 ms 2524 KB Output is correct
23 Correct 24 ms 2544 KB Output is correct
24 Correct 85 ms 2536 KB Output is correct
25 Correct 75 ms 2532 KB Output is correct
26 Correct 84 ms 2528 KB Output is correct
27 Correct 87 ms 2524 KB Output is correct
28 Correct 83 ms 2516 KB Output is correct
29 Correct 84 ms 2528 KB Output is correct
30 Correct 83 ms 2516 KB Output is correct
31 Correct 85 ms 2632 KB Output is correct
32 Correct 84 ms 2520 KB Output is correct
33 Correct 81 ms 2516 KB Output is correct
34 Correct 84 ms 2516 KB Output is correct
35 Correct 84 ms 2516 KB Output is correct
36 Correct 84 ms 2520 KB Output is correct
37 Correct 328 ms 2524 KB Output is correct
38 Correct 323 ms 2528 KB Output is correct
39 Correct 493 ms 2516 KB Output is correct
40 Correct 593 ms 2548 KB Output is correct
41 Correct 571 ms 2516 KB Output is correct
42 Correct 516 ms 2548 KB Output is correct
43 Correct 493 ms 2788 KB Output is correct
44 Correct 518 ms 2784 KB Output is correct
45 Correct 532 ms 2888 KB Output is correct
46 Correct 576 ms 2516 KB Output is correct
47 Correct 509 ms 2552 KB Output is correct
48 Correct 518 ms 2644 KB Output is correct
49 Correct 499 ms 2548 KB Output is correct
50 Correct 505 ms 2560 KB Output is correct
51 Correct 2 ms 340 KB Output is correct
52 Correct 609 ms 2800 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 4 ms 2516 KB Output is correct
2 Correct 4 ms 2516 KB Output is correct
3 Correct 0 ms 340 KB Output is correct
4 Correct 4 ms 2516 KB Output is correct
5 Correct 5 ms 2516 KB Output is correct
6 Correct 4 ms 2516 KB Output is correct
7 Correct 4 ms 2516 KB Output is correct
8 Correct 5 ms 2516 KB Output is correct
9 Correct 5 ms 2516 KB Output is correct
10 Correct 11 ms 2516 KB Output is correct
11 Correct 10 ms 2516 KB Output is correct
12 Correct 11 ms 2516 KB Output is correct
13 Correct 9 ms 2516 KB Output is correct
14 Correct 10 ms 2516 KB Output is correct
15 Correct 10 ms 2516 KB Output is correct
16 Correct 12 ms 2516 KB Output is correct
17 Correct 7 ms 2516 KB Output is correct
18 Correct 8 ms 2516 KB Output is correct
19 Correct 10 ms 2516 KB Output is correct
20 Correct 11 ms 2516 KB Output is correct
21 Correct 37 ms 2524 KB Output is correct
22 Correct 49 ms 2524 KB Output is correct
23 Correct 24 ms 2544 KB Output is correct
24 Correct 85 ms 2536 KB Output is correct
25 Correct 75 ms 2532 KB Output is correct
26 Correct 84 ms 2528 KB Output is correct
27 Correct 87 ms 2524 KB Output is correct
28 Correct 83 ms 2516 KB Output is correct
29 Correct 84 ms 2528 KB Output is correct
30 Correct 83 ms 2516 KB Output is correct
31 Correct 85 ms 2632 KB Output is correct
32 Correct 84 ms 2520 KB Output is correct
33 Correct 81 ms 2516 KB Output is correct
34 Correct 84 ms 2516 KB Output is correct
35 Correct 84 ms 2516 KB Output is correct
36 Correct 84 ms 2520 KB Output is correct
37 Correct 328 ms 2524 KB Output is correct
38 Correct 323 ms 2528 KB Output is correct
39 Correct 493 ms 2516 KB Output is correct
40 Correct 593 ms 2548 KB Output is correct
41 Correct 571 ms 2516 KB Output is correct
42 Correct 516 ms 2548 KB Output is correct
43 Correct 493 ms 2788 KB Output is correct
44 Correct 518 ms 2784 KB Output is correct
45 Correct 532 ms 2888 KB Output is correct
46 Correct 576 ms 2516 KB Output is correct
47 Correct 509 ms 2552 KB Output is correct
48 Correct 518 ms 2644 KB Output is correct
49 Correct 499 ms 2548 KB Output is correct
50 Correct 505 ms 2560 KB Output is correct
51 Correct 2 ms 340 KB Output is correct
52 Correct 609 ms 2800 KB Output is correct
53 Correct 743 ms 2772 KB Output is correct
54 Execution timed out 1000 ms 2804 KB Time limit exceeded
55 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 4 ms 2516 KB Output is correct
2 Correct 4 ms 2516 KB Output is correct
3 Correct 0 ms 340 KB Output is correct
4 Correct 4 ms 2516 KB Output is correct
5 Correct 5 ms 2516 KB Output is correct
6 Correct 4 ms 2516 KB Output is correct
7 Correct 4 ms 2516 KB Output is correct
8 Correct 5 ms 2516 KB Output is correct
9 Correct 5 ms 2516 KB Output is correct
10 Correct 11 ms 2516 KB Output is correct
11 Correct 10 ms 2516 KB Output is correct
12 Correct 11 ms 2516 KB Output is correct
13 Correct 9 ms 2516 KB Output is correct
14 Correct 10 ms 2516 KB Output is correct
15 Correct 10 ms 2516 KB Output is correct
16 Correct 12 ms 2516 KB Output is correct
17 Correct 7 ms 2516 KB Output is correct
18 Correct 8 ms 2516 KB Output is correct
19 Correct 10 ms 2516 KB Output is correct
20 Correct 11 ms 2516 KB Output is correct
21 Correct 37 ms 2524 KB Output is correct
22 Correct 49 ms 2524 KB Output is correct
23 Correct 24 ms 2544 KB Output is correct
24 Correct 85 ms 2536 KB Output is correct
25 Correct 75 ms 2532 KB Output is correct
26 Correct 84 ms 2528 KB Output is correct
27 Correct 87 ms 2524 KB Output is correct
28 Correct 83 ms 2516 KB Output is correct
29 Correct 84 ms 2528 KB Output is correct
30 Correct 83 ms 2516 KB Output is correct
31 Correct 85 ms 2632 KB Output is correct
32 Correct 84 ms 2520 KB Output is correct
33 Correct 81 ms 2516 KB Output is correct
34 Correct 84 ms 2516 KB Output is correct
35 Correct 84 ms 2516 KB Output is correct
36 Correct 84 ms 2520 KB Output is correct
37 Correct 328 ms 2524 KB Output is correct
38 Correct 323 ms 2528 KB Output is correct
39 Correct 493 ms 2516 KB Output is correct
40 Correct 593 ms 2548 KB Output is correct
41 Correct 571 ms 2516 KB Output is correct
42 Correct 516 ms 2548 KB Output is correct
43 Correct 493 ms 2788 KB Output is correct
44 Correct 518 ms 2784 KB Output is correct
45 Correct 532 ms 2888 KB Output is correct
46 Correct 576 ms 2516 KB Output is correct
47 Correct 509 ms 2552 KB Output is correct
48 Correct 518 ms 2644 KB Output is correct
49 Correct 499 ms 2548 KB Output is correct
50 Correct 505 ms 2560 KB Output is correct
51 Correct 2 ms 340 KB Output is correct
52 Correct 609 ms 2800 KB Output is correct
53 Correct 743 ms 2772 KB Output is correct
54 Execution timed out 1000 ms 2804 KB Time limit exceeded
55 Halted 0 ms 0 KB -