oj.uz

Submission #248566

# Submission time Handle Problem Language Result Execution time Memory
248566 2020-07-12T18:27:44 Z rqi Bootfall (IZhO17_bootfall) C++14
13 / 100
 164 ms 4520 KB 
#include <bits/stdc++.h>
using namespace std;
 
typedef long long ll;
typedef long double ld;
typedef double db; 
typedef string str; 

typedef pair<int,int> pi;
typedef pair<ll,ll> pl; 
typedef pair<db,db> pd; 

typedef vector<int> vi; 
typedef vector<ll> vl; 
typedef vector<db> vd; 
typedef vector<str> vs; 
typedef vector<pi> vpi;
typedef vector<pl> vpl; 
typedef vector<pd> vpd; 

#define mp make_pair
#define f first
#define s second
#define sz(x) (int)x.size()
#define all(x) begin(x), end(x)
#define rall(x) (x).rbegin(), (x).rend() 
#define rsz resize
#define ins insert 
#define ft front() 
#define bk back()
#define pf push_front 
#define pb push_back
#define eb emplace_back 
#define lb lower_bound 
#define ub upper_bound 

#define FOR(i,a,b) for (int i = (a); i < (b); ++i)
#define F0R(i,a) FOR(i,0,a)
#define ROF(i,a,b) for (int i = (b)-1; i >= (a); --i)
#define R0F(i,a) ROF(i,0,a)
#define trav(a,x) for (auto& a: x)

const int MOD = 1e9+7; // 998244353;
const int MX = 2e5+5; 
const ll INF = 1e18; 
const ld PI = acos((ld)-1);
const int xd[4] = {1,0,-1,0}, yd[4] = {0,1,0,-1}; 
mt19937 rng((uint32_t)chrono::steady_clock::now().time_since_epoch().count()); 

template<class T> bool ckmin(T& a, const T& b) { 
    return b < a ? a = b, 1 : 0; }
template<class T> bool ckmax(T& a, const T& b) { 
    return a < b ? a = b, 1 : 0; } 
int pct(int x) { return __builtin_popcount(x); } 
int bits(int x) { return 31-__builtin_clz(x); } // floor(log2(x)) 
int cdiv(int a, int b) { return a/b+!(a<0||a%b == 0); } // division of a by b rounded up, assumes b > 0 
int fstTrue(function<bool(int)> f, int lo, int hi) {
    hi ++; assert(lo <= hi); // assuming f is increasing
    while (lo < hi) { // find first index such that f is true 
        int mid = (lo+hi)/2; 
        f(mid) ? hi = mid : lo = mid+1; 
    } 
    return lo;
}

// INPUT
template<class A> void re(complex<A>& c);
template<class A, class B> void re(pair<A,B>& p);
template<class A> void re(vector<A>& v);
template<class A, size_t SZ> void re(array<A,SZ>& a);

template<class T> void re(T& x) { cin >> x; }
void re(db& d) { str t; re(t); d = stod(t); }
void re(ld& d) { str t; re(t); d = stold(t); }
template<class H, class... T> void re(H& h, T&... t) { re(h); re(t...); }

template<class A> void re(complex<A>& c) { A a,b; re(a,b); c = {a,b}; }
template<class A, class B> void re(pair<A,B>& p) { re(p.f,p.s); }
template<class A> void re(vector<A>& x) { trav(a,x) re(a); }
template<class A, size_t SZ> void re(array<A,SZ>& x) { trav(a,x) re(a); }

// TO_STRING
#define ts to_string
str ts(char c) { return str(1,c); }
str ts(bool b) { return b ? "true" : "false"; }
str ts(const char* s) { return (str)s; }
str ts(str s) { return s; }
template<class A> str ts(complex<A> c) { 
    stringstream ss; ss << c; return ss.str(); }
str ts(vector<bool> v) { 
    str res = "{"; F0R(i,sz(v)) res += char('0'+v[i]);
    res += "}"; return res; }
template<size_t SZ> str ts(bitset<SZ> b) {
    str res = ""; F0R(i,SZ) res += char('0'+b[i]);
    return res; }
template<class A, class B> str ts(pair<A,B> p);
template<class T> str ts(T v) { // containers with begin(), end()
    bool fst = 1; str res = "{";
    for (const auto& x: v) {
        if (!fst) res += ", ";
        fst = 0; res += ts(x);
    }
    res += "}"; return res;
}
template<class A, class B> str ts(pair<A,B> p) {
    return "("+ts(p.f)+", "+ts(p.s)+")"; }

// OUTPUT
template<class A> void pr(A x) { cout << ts(x); }
template<class H, class... T> void pr(const H& h, const T&... t) { 
    pr(h); pr(t...); }
void ps() { pr("\n"); } // print w/ spaces
template<class H, class... T> void ps(const H& h, const T&... t) { 
    pr(h); if (sizeof...(t)) pr(" "); ps(t...); }

// DEBUG
void DBG() { cerr << "]" << endl; }
template<class H, class... T> void DBG(H h, T... t) {
    cerr << ts(h); if (sizeof...(t)) cerr << ", ";
    DBG(t...); }
#ifdef LOCAL // compile with -DLOCAL
#define dbg(...) cerr << "LINE(" << __LINE__ << ") -> [" << #__VA_ARGS__ << "]: [", DBG(__VA_ARGS__)
#else
#define dbg(...) 0
#endif

// FILE I/O
void setIn(string s) { freopen(s.c_str(),"r",stdin); }
void setOut(string s) { freopen(s.c_str(),"w",stdout); }
void unsyncIO() { ios_base::sync_with_stdio(0); cin.tie(0); }
void setIO(string s = "") {
    unsyncIO();
    // cin.exceptions(cin.failbit); 
    // throws exception when do smth illegal
    // ex. try to read letter into int
    if (sz(s)) { setIn(s+".in"), setOut(s+".out"); } // for USACO
}

const int mx1 = 500;
const int mx2 = 250000;

const int MOD1 = 999999733;
const int MOD2 = 1000000181;

pi tot[mx2+5];
pi exc[mx2+5];
int a[mx1+5];
bitset<mx2+5> ans; //possible answers

void ad(pi &a, pi &b){
    a.f = (ll(a.f)+ll(b.f)) % MOD1;
    a.s = (ll(a.s)+ll(b.s)) % MOD2;
}

void sub(pi &a, pi &b){
    a.f = (ll(a.f)-ll(b.f)+MOD1) % MOD1;
    a.s = (ll(a.s)-ll(b.s)+MOD2) % MOD2;
}

int main() {
    setIO();
    int N;
    cin >> N;
    int sum = 0;
    for(int i = 1; i <= N; i++){
        cin >> a[i];
        sum+=a[i];
    }

    bitset<mx2+5> orig;
    orig[0] = 1;
    for(int i = 1; i <= N; i++){
        orig = (orig)|(orig<<a[i]);
    }

    if(sum % 2 == 1 || orig[sum/2] == 0){
        ps(0);
        return 0;
    }
    
    tot[0] = mp(1, 1);

    for(int i = 1; i <= N; i++){
        for(int j = mx2; j >= 0; j--){
            if(a[i] > j) continue;
            ad(tot[j], tot[j-a[i]]);
        }
    }

    for(int i = 0; i <= mx2; i++){
        ans[i] = 1;
    }

    for(int i = 1; i <= N; i++){
        for(int j = 0; j <= mx2; j++){
            exc[j] = tot[j];
        }
        for(int j = 0; j <= mx2; j++){
            if(j-a[i] >= 0) sub(exc[j], exc[j-a[i]]);
        }
        bitset<mx2+5> works;
        for(int j = 0; j <= mx2; j++){
            int x = j*2-sum+a[i];
            if(exc[j] != mp(0, 0) && x >= 0 && x <= 2500){
                works[x] = 1;
            }
        }
        ans&=works;
    }

    vi anses;
    for(int i = 1; i <= mx2; i++){
        if(ans[i] == 1) anses.pb(i);
    }

    ps(sz(anses));
    for(auto u: anses){
        cout << u << " ";
    }
    cout << "\n";




    // you should actually read the stuff at the bottom
}

/* stuff you should look for
    * int overflow, array bounds
    * special cases (n=1?)
    * do smth instead of nothing and stay organized
    * WRITE STUFF DOWN
*/

Compilation message

bootfall.cpp: In function 'void setIn(std::__cxx11::string)':
bootfall.cpp:128:31: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)', declared with attribute warn_unused_result [-Wunused-result]
 void setIn(string s) { freopen(s.c_str(),"r",stdin); }
                        ~~~~~~~^~~~~~~~~~~~~~~~~~~~~
bootfall.cpp: In function 'void setOut(std::__cxx11::string)':
bootfall.cpp:129:32: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)', declared with attribute warn_unused_result [-Wunused-result]
 void setOut(string s) { freopen(s.c_str(),"w",stdout); }
                         ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~

Subtask #1
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 15 ms 4352 KB Output is correct
2 Correct 19 ms 4352 KB Output is correct
3 Correct 0 ms 512 KB Output is correct
4 Correct 14 ms 4352 KB Output is correct
5 Correct 33 ms 4352 KB Output is correct
6 Correct 23 ms 4352 KB Output is correct
7 Correct 19 ms 4352 KB Output is correct
8 Correct 32 ms 4352 KB Output is correct
9 Correct 29 ms 4352 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 15 ms 4352 KB Output is correct
2 Correct 19 ms 4352 KB Output is correct
3 Correct 0 ms 512 KB Output is correct
4 Correct 14 ms 4352 KB Output is correct
5 Correct 33 ms 4352 KB Output is correct
6 Correct 23 ms 4352 KB Output is correct
7 Correct 19 ms 4352 KB Output is correct
8 Correct 32 ms 4352 KB Output is correct
9 Correct 29 ms 4352 KB Output is correct
10 Correct 77 ms 4388 KB Output is correct
11 Correct 78 ms 4352 KB Output is correct
12 Correct 81 ms 4520 KB Output is correct
13 Correct 66 ms 4352 KB Output is correct
14 Correct 73 ms 4344 KB Output is correct
15 Correct 75 ms 4344 KB Output is correct
16 Correct 99 ms 4452 KB Output is correct
17 Correct 48 ms 4352 KB Output is correct
18 Correct 65 ms 4352 KB Output is correct
19 Correct 67 ms 4348 KB Output is correct
20 Correct 75 ms 4344 KB Output is correct

Subtask #3
0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 15 ms 4352 KB Output is correct
2 Correct 19 ms 4352 KB Output is correct
3 Correct 0 ms 512 KB Output is correct
4 Correct 14 ms 4352 KB Output is correct
5 Correct 33 ms 4352 KB Output is correct
6 Correct 23 ms 4352 KB Output is correct
7 Correct 19 ms 4352 KB Output is correct
8 Correct 32 ms 4352 KB Output is correct
9 Correct 29 ms 4352 KB Output is correct
10 Correct 77 ms 4388 KB Output is correct
11 Correct 78 ms 4352 KB Output is correct
12 Correct 81 ms 4520 KB Output is correct
13 Correct 66 ms 4352 KB Output is correct
14 Correct 73 ms 4344 KB Output is correct
15 Correct 75 ms 4344 KB Output is correct
16 Correct 99 ms 4452 KB Output is correct
17 Correct 48 ms 4352 KB Output is correct
18 Correct 65 ms 4352 KB Output is correct
19 Correct 67 ms 4348 KB Output is correct
20 Correct 75 ms 4344 KB Output is correct
21 Incorrect 164 ms 4472 KB Output isn't correct
22 Halted 0 ms 0 KB -

Subtask #4
0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 15 ms 4352 KB Output is correct
2 Correct 19 ms 4352 KB Output is correct
3 Correct 0 ms 512 KB Output is correct
4 Correct 14 ms 4352 KB Output is correct
5 Correct 33 ms 4352 KB Output is correct
6 Correct 23 ms 4352 KB Output is correct
7 Correct 19 ms 4352 KB Output is correct
8 Correct 32 ms 4352 KB Output is correct
9 Correct 29 ms 4352 KB Output is correct
10 Correct 77 ms 4388 KB Output is correct
11 Correct 78 ms 4352 KB Output is correct
12 Correct 81 ms 4520 KB Output is correct
13 Correct 66 ms 4352 KB Output is correct
14 Correct 73 ms 4344 KB Output is correct
15 Correct 75 ms 4344 KB Output is correct
16 Correct 99 ms 4452 KB Output is correct
17 Correct 48 ms 4352 KB Output is correct
18 Correct 65 ms 4352 KB Output is correct
19 Correct 67 ms 4348 KB Output is correct
20 Correct 75 ms 4344 KB Output is correct
21 Incorrect 164 ms 4472 KB Output isn't correct
22 Halted 0 ms 0 KB -

Subtask #5
0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 15 ms 4352 KB Output is correct
2 Correct 19 ms 4352 KB Output is correct
3 Correct 0 ms 512 KB Output is correct
4 Correct 14 ms 4352 KB Output is correct
5 Correct 33 ms 4352 KB Output is correct
6 Correct 23 ms 4352 KB Output is correct
7 Correct 19 ms 4352 KB Output is correct
8 Correct 32 ms 4352 KB Output is correct
9 Correct 29 ms 4352 KB Output is correct
10 Correct 77 ms 4388 KB Output is correct
11 Correct 78 ms 4352 KB Output is correct
12 Correct 81 ms 4520 KB Output is correct
13 Correct 66 ms 4352 KB Output is correct
14 Correct 73 ms 4344 KB Output is correct
15 Correct 75 ms 4344 KB Output is correct
16 Correct 99 ms 4452 KB Output is correct
17 Correct 48 ms 4352 KB Output is correct
18 Correct 65 ms 4352 KB Output is correct
19 Correct 67 ms 4348 KB Output is correct
20 Correct 75 ms 4344 KB Output is correct
21 Incorrect 164 ms 4472 KB Output isn't correct
22 Halted 0 ms 0 KB -

Subtask #6
0 / 35.0

# Verdict Execution time Memory Grader output
1 Correct 15 ms 4352 KB Output is correct
2 Correct 19 ms 4352 KB Output is correct
3 Correct 0 ms 512 KB Output is correct
4 Correct 14 ms 4352 KB Output is correct
5 Correct 33 ms 4352 KB Output is correct
6 Correct 23 ms 4352 KB Output is correct
7 Correct 19 ms 4352 KB Output is correct
8 Correct 32 ms 4352 KB Output is correct
9 Correct 29 ms 4352 KB Output is correct
10 Correct 77 ms 4388 KB Output is correct
11 Correct 78 ms 4352 KB Output is correct
12 Correct 81 ms 4520 KB Output is correct
13 Correct 66 ms 4352 KB Output is correct
14 Correct 73 ms 4344 KB Output is correct
15 Correct 75 ms 4344 KB Output is correct
16 Correct 99 ms 4452 KB Output is correct
17 Correct 48 ms 4352 KB Output is correct
18 Correct 65 ms 4352 KB Output is correct
19 Correct 67 ms 4348 KB Output is correct
20 Correct 75 ms 4344 KB Output is correct
21 Incorrect 164 ms 4472 KB Output isn't correct
22 Halted 0 ms 0 KB -